LCOV - code coverage report
Current view: top level - src - mp2_eri.F (source / functions) Hit Total Coverage
Test: CP2K Regtests (git:2fce0f8) Lines: 572 634 90.2 %
Date: 2024-12-21 06:28:57 Functions: 8 10 80.0 %

          Line data    Source code
       1             : !--------------------------------------------------------------------------------------------------!
       2             : !   CP2K: A general program to perform molecular dynamics simulations                              !
       3             : !   Copyright 2000-2024 CP2K developers group <https://cp2k.org>                                   !
       4             : !                                                                                                  !
       5             : !   SPDX-License-Identifier: GPL-2.0-or-later                                                      !
       6             : !--------------------------------------------------------------------------------------------------!
       7             : 
       8             : ! **************************************************************************************************
       9             : !> \brief Interface to direct methods for electron repulsion integrals for MP2.
      10             : ! **************************************************************************************************
      11             : #:def conditional(n)
      12             :    $:'' if n else '.NOT.'
      13             : #:enddef
      14             : 
      15             : MODULE mp2_eri
      16             :    USE ai_contraction_sphi, ONLY: ab_contract, &
      17             :                                   abc_contract
      18             :    USE ai_coulomb, ONLY: coulomb2_new, &
      19             :                          coulomb3
      20             :    USE atomic_kind_types, ONLY: atomic_kind_type, &
      21             :                                 get_atomic_kind_set
      22             :    USE basis_set_types, ONLY: gto_basis_set_p_type, &
      23             :                               gto_basis_set_type
      24             :    USE cell_types, ONLY: cell_type, &
      25             :                          pbc
      26             :    USE cp_eri_mme_interface, ONLY: cp_eri_mme_finalize, &
      27             :                                    cp_eri_mme_init_read_input, &
      28             :                                    cp_eri_mme_param, &
      29             :                                    cp_eri_mme_set_params
      30             :    USE message_passing, ONLY: mp_para_env_type
      31             :    USE cp_dbcsr_api, ONLY: dbcsr_get_block_p, &
      32             :                            dbcsr_p_type
      33             :    USE eri_mme_integrate, ONLY: eri_mme_2c_integrate, &
      34             :                                 eri_mme_3c_integrate
      35             :    USE eri_mme_test, ONLY: eri_mme_2c_perf_acc_test, &
      36             :                            eri_mme_3c_perf_acc_test
      37             :    USE eri_mme_types, ONLY: eri_mme_param, &
      38             :                             eri_mme_set_potential, eri_mme_coulomb, eri_mme_longrange
      39             :    USE input_constants, ONLY: do_eri_gpw, &
      40             :                               do_eri_mme, &
      41             :                               do_eri_os, &
      42             :                               do_potential_coulomb, &
      43             :                               do_potential_long
      44             :    USE input_section_types, ONLY: section_vals_get_subs_vals, &
      45             :                                   section_vals_type, &
      46             :                                   section_vals_val_get
      47             :    USE kinds, ONLY: dp
      48             :    USE libint_2c_3c, ONLY: libint_potential_type
      49             :    USE orbital_pointers, ONLY: coset, &
      50             :                                init_orbital_pointers, &
      51             :                                ncoset
      52             :    USE particle_types, ONLY: particle_type
      53             :    USE qs_environment_types, ONLY: get_qs_env, &
      54             :                                    qs_environment_type
      55             :    USE qs_integral_utils, ONLY: basis_set_list_setup
      56             :    USE qs_kind_types, ONLY: get_qs_kind, &
      57             :                             qs_kind_type
      58             :    USE qs_neighbor_list_types, ONLY: get_iterator_info, &
      59             :                                      get_neighbor_list_set_p, &
      60             :                                      neighbor_list_iterate, &
      61             :                                      neighbor_list_iterator_create, &
      62             :                                      neighbor_list_iterator_p_type, &
      63             :                                      neighbor_list_iterator_release, &
      64             :                                      neighbor_list_set_p_type
      65             :    USE util, ONLY: get_limit
      66             :    USE cp_eri_mme_interface, ONLY: cp_eri_mme_update_local_counts
      67             : #include "./base/base_uses.f90"
      68             : 
      69             :    IMPLICIT NONE
      70             : 
      71             :    PRIVATE
      72             : 
      73             :    LOGICAL, PRIVATE, PARAMETER :: debug_this_module = .FALSE.
      74             : 
      75             :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'mp2_eri'
      76             : 
      77             :    PUBLIC :: &
      78             :       mp2_eri_2c_integrate, &
      79             :       mp2_eri_3c_integrate, &
      80             :       mp2_eri_allocate_forces, &
      81             :       mp2_eri_deallocate_forces, &
      82             :       mp2_eri_force, &
      83             :       integrate_set_2c, &
      84             :       convert_potential_type
      85             : 
      86             :    TYPE mp2_eri_force
      87             :       REAL(KIND=dp), DIMENSION(:, :), ALLOCATABLE :: forces
      88             :    END TYPE mp2_eri_force
      89             : 
      90             : CONTAINS
      91             : 
      92             : ! **************************************************************************************************
      93             : !> \brief high-level integration routine for 2c integrals over CP2K basis sets.
      94             : !>        Contiguous column-wise distribution and parallelization over pairs of sets.
      95             : !> \param param ...
      96             : !> \param para_env mpi environment for local columns
      97             : !> \param potential_parameter ...
      98             : !> \param qs_env ...
      99             : !> \param basis_type_a ...
     100             : !> \param basis_type_b ...
     101             : !> \param hab columns of ERI matrix
     102             : !> \param first_b first column of hab
     103             : !> \param last_b last column of hab
     104             : !> \param eri_method ...
     105             : !> \param pab ...
     106             : !> \param force_a ...
     107             : !> \param force_b ...
     108             : !> \param hdab ...
     109             : !> \param hadb ...
     110             : !> \param reflection_z_a ...
     111             : !> \param reflection_z_b ...
     112             : !> \param do_reflection_a ...
     113             : !> \param do_reflection_b ...
     114             : ! **************************************************************************************************
     115         330 :    SUBROUTINE mp2_eri_2c_integrate(param, potential_parameter, para_env, qs_env, basis_type_a, basis_type_b, hab, first_b, &
     116         330 :                                    last_b, eri_method, pab, force_a, force_b, hdab, hadb, &
     117             :                                    reflection_z_a, reflection_z_b, do_reflection_a, do_reflection_b)
     118             :       TYPE(cp_eri_mme_param), INTENT(INOUT)              :: param
     119             :       TYPE(libint_potential_type), INTENT(IN)            :: potential_parameter
     120             :       TYPE(mp_para_env_type), INTENT(IN)        :: para_env
     121             :       TYPE(qs_environment_type), INTENT(IN), POINTER     :: qs_env
     122             :       CHARACTER(len=*), INTENT(IN), OPTIONAL             :: basis_type_a, basis_type_b
     123             :       REAL(KIND=dp), DIMENSION(:, :), INTENT(INOUT)      :: hab
     124             :       INTEGER, INTENT(IN)                                :: first_b, last_b
     125             :       INTEGER, INTENT(IN), OPTIONAL                      :: eri_method
     126             :       REAL(KIND=dp), DIMENSION(:, :), INTENT(IN), &
     127             :          OPTIONAL                                        :: pab
     128             :       TYPE(mp2_eri_force), ALLOCATABLE, &
     129             :          DIMENSION(:), INTENT(OUT), OPTIONAL             :: force_a, force_b
     130             :       REAL(KIND=dp), DIMENSION(:, :, :), INTENT(INOUT), &
     131             :          OPTIONAL                                        :: hdab, hadb
     132             :       REAL(KIND=dp), INTENT(IN), OPTIONAL                :: reflection_z_a, reflection_z_b
     133             :       LOGICAL, INTENT(IN), OPTIONAL                      :: do_reflection_a, do_reflection_b
     134             : 
     135             :       CHARACTER(len=*), PARAMETER :: routineN = 'mp2_eri_2c_integrate'
     136             : 
     137             :       INTEGER :: atom_a, atom_b, atom_end, atom_start, first_set, G_count, handle, iatom, ikind, &
     138             :                  iset, jatom, jkind, jset, jset_end, jset_start, last_set, my_eri_method, my_setpair, &
     139             :                  n_setpair, natom, nkind, nseta, nseta_total, nsetb, nsetb_total, offset_a_end, &
     140             :                  offset_a_start, offset_b_end, offset_b_start, R_count, set_end, set_offset_end, &
     141             :                  set_offset_start, set_start, sgfa, sgfb
     142         330 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: atom_of_kind, kind_of, natom_of_kind
     143         330 :       INTEGER, ALLOCATABLE, DIMENSION(:, :)              :: eri_offsets
     144         330 :       INTEGER, DIMENSION(:), POINTER                     :: la_max, la_min, lb_max, lb_min, npgfa, &
     145         330 :                                                             npgfb, nsgfa, nsgfb
     146         330 :       INTEGER, DIMENSION(:, :), POINTER                  :: first_sgfa, first_sgfb
     147             :       LOGICAL                                            :: map_it_here, my_do_reflection_a, &
     148             :                                                             my_do_reflection_b
     149             :       REAL(KIND=dp)                                      :: dab
     150             :       REAL(KIND=dp), DIMENSION(3)                        :: ra, rab, rb
     151         330 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: sphi_a, sphi_b, zeta, zetb
     152         330 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     153             :       TYPE(cell_type), POINTER                           :: cell
     154             :       TYPE(gto_basis_set_type), POINTER                  :: basis_set_a, basis_set_b
     155         330 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     156         330 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     157             : 
     158         330 :       CALL timeset(routineN, handle)
     159             : 
     160         330 :       my_eri_method = do_eri_mme
     161         330 :       IF (PRESENT(eri_method)) my_eri_method = eri_method
     162             : 
     163         330 :       my_do_reflection_a = .FALSE.
     164         330 :       IF (PRESENT(do_reflection_a) .AND. PRESENT(reflection_z_a)) my_do_reflection_a = do_reflection_a
     165             : 
     166         330 :       my_do_reflection_b = .FALSE.
     167         330 :       IF (PRESENT(do_reflection_b) .AND. PRESENT(reflection_z_b)) my_do_reflection_b = do_reflection_b
     168             : 
     169         330 :       G_count = 0; R_count = 0; 
     170             :       ! get mapping between ERIs and atoms, sets, set offsets
     171         330 :       CALL get_eri_offsets(qs_env, basis_type_b, eri_offsets)
     172             : 
     173         330 :       atom_start = eri_offsets(first_b, 1)
     174         330 :       set_start = eri_offsets(first_b, 2)
     175         330 :       set_offset_start = eri_offsets(first_b, 3)
     176             : 
     177         330 :       atom_end = eri_offsets(last_b, 1)
     178         330 :       set_end = eri_offsets(last_b, 2)
     179         330 :       set_offset_end = eri_offsets(last_b, 3)
     180             : 
     181             :       ! get QS stuff
     182             :       CALL get_qs_env(qs_env, atomic_kind_set=atomic_kind_set, qs_kind_set=qs_kind_set, &
     183         330 :                       cell=cell, particle_set=particle_set, natom=natom, nkind=nkind)
     184             : 
     185         330 :       CALL get_atomic_kind_set(atomic_kind_set, kind_of=kind_of, natom_of_kind=natom_of_kind, atom_of_kind=atom_of_kind)
     186             : 
     187         330 :       IF (PRESENT(force_a)) CALL mp2_eri_allocate_forces(force_a, natom_of_kind)
     188         330 :       IF (PRESENT(force_b)) CALL mp2_eri_allocate_forces(force_b, natom_of_kind)
     189             : 
     190             :       ! get total number of local set pairs to integrate
     191         330 :       nseta_total = 0
     192        1264 :       DO iatom = 1, natom
     193         934 :          ikind = kind_of(iatom)
     194         934 :          CALL get_qs_kind(qs_kind=qs_kind_set(ikind), basis_set=basis_set_a, basis_type=basis_type_a)
     195        1264 :          nseta_total = nseta_total + basis_set_a%nset
     196             :       END DO
     197             : 
     198             :       nsetb_total = 0
     199         928 :       DO jatom = atom_start, atom_end
     200         598 :          jkind = kind_of(jatom)
     201         598 :          CALL get_qs_kind(qs_kind=qs_kind_set(jkind), basis_set=basis_set_b, basis_type=basis_type_b)
     202         928 :          nsetb_total = nsetb_total + basis_set_b%nset
     203             :       END DO
     204             : 
     205             :       n_setpair = nseta_total*nsetb_total
     206             : 
     207         330 :       my_setpair = 0
     208             : 
     209         330 :       offset_a_end = 0
     210        1264 :       DO iatom = 1, natom
     211         934 :          ikind = kind_of(iatom)
     212         934 :          atom_a = atom_of_kind(iatom)
     213         934 :          CALL get_qs_kind(qs_kind=qs_kind_set(ikind), basis_set=basis_set_a, basis_type=basis_type_a)
     214             : 
     215         934 :          first_sgfa => basis_set_a%first_sgf
     216         934 :          la_max => basis_set_a%lmax
     217         934 :          la_min => basis_set_a%lmin
     218         934 :          nseta = basis_set_a%nset
     219         934 :          nsgfa => basis_set_a%nsgf_set
     220         934 :          sphi_a => basis_set_a%sphi
     221         934 :          zeta => basis_set_a%zet
     222         934 :          npgfa => basis_set_a%npgf
     223             : 
     224         934 :          ra(:) = pbc(particle_set(iatom)%r, cell)
     225             : 
     226         934 :          IF (my_do_reflection_a) THEN
     227           0 :             ra(3) = 2.0_dp*reflection_z_a - ra(3)
     228             :          END IF
     229             : 
     230        9720 :          DO iset = 1, nseta
     231        8456 :             offset_a_start = offset_a_end
     232        8456 :             offset_a_end = offset_a_end + nsgfa(iset)
     233        8456 :             sgfa = first_sgfa(1, iset)
     234             : 
     235        8456 :             offset_b_end = 0
     236       26091 :             DO jatom = atom_start, atom_end
     237       16701 :                jkind = kind_of(jatom)
     238       16701 :                atom_b = atom_of_kind(jatom)
     239       16701 :                CALL get_qs_kind(qs_kind=qs_kind_set(jkind), basis_set=basis_set_b, basis_type=basis_type_b)
     240             : 
     241       16701 :                first_sgfb => basis_set_b%first_sgf
     242       16701 :                lb_max => basis_set_b%lmax
     243       16701 :                lb_min => basis_set_b%lmin
     244       16701 :                nsetb = basis_set_b%nset
     245       16701 :                nsgfb => basis_set_b%nsgf_set
     246       16701 :                sphi_b => basis_set_b%sphi
     247       16701 :                zetb => basis_set_b%zet
     248       16701 :                npgfb => basis_set_b%npgf
     249             : 
     250       16701 :                rb(:) = pbc(particle_set(jatom)%r, cell)
     251             : 
     252       16701 :                IF (my_do_reflection_b) THEN
     253           0 :                   rb(3) = 2.0_dp*reflection_z_b - rb(3)
     254             :                END IF
     255             : 
     256       66804 :                rab(:) = ra(:) - rb(:) ! pbc not needed?
     257             :                dab = SQRT(rab(1)**2 + rab(2)**2 + rab(3)**2)
     258             : 
     259       16701 :                jset_start = 1; jset_end = nsetb
     260       16701 :                IF (jatom == atom_start) jset_start = set_start
     261       16701 :                IF (jatom == atom_end) jset_end = set_end
     262             : 
     263      153232 :                DO jset = jset_start, jset_end
     264      128075 :                   first_set = 1; last_set = nsgfb(jset)
     265      128075 :                   IF (jset == jset_start .AND. jatom == atom_start) first_set = set_offset_start
     266      128075 :                   IF (jset == jset_end .AND. jatom == atom_end) last_set = set_offset_end
     267             : 
     268      128075 :                   offset_b_start = offset_b_end
     269      128075 :                   offset_b_end = offset_b_end + last_set + 1 - first_set
     270      128075 :                   sgfb = first_sgfb(1, jset)
     271      128075 :                   my_setpair = my_setpair + 1
     272      128075 :                   map_it_here = MODULO(my_setpair, para_env%num_pe) == para_env%mepos
     273             : 
     274      144776 :                   IF (map_it_here) THEN
     275             :                      #!some fypp magic to deal with combinations of optional arguments
     276             :                      #:for doforce_1 in [0, 1]
     277             :                         #:for doforce_2 in [0, 1]
     278      249844 :                            IF (${conditional(doforce_1)}$PRESENT(force_a) .AND. &
     279             :                                ${conditional(doforce_2)}$PRESENT(force_b)) THEN
     280             : 
     281             :                               CALL integrate_set_2c( &
     282             :                                  param%par, potential_parameter, &
     283             :                                  la_min(iset), la_max(iset), &
     284             :                                  lb_min(jset), lb_max(jset), &
     285             :                                  npgfa(iset), npgfb(jset), &
     286             :                                  zeta(:, iset), zetb(:, jset), &
     287             :                                  ra, rb, &
     288             :                                  hab, nsgfa(iset), last_set - first_set + 1, &
     289             :                                  offset_a_start, offset_b_start, &
     290             :                                  0, first_set - 1, &
     291             :                                  sphi_a, sphi_b, &
     292             :                                  sgfa, sgfb, nsgfa(iset), nsgfb(jset), &
     293             :                                  my_eri_method, &
     294             :                                  pab, &
     295             :                            $:                         'force_a=force_a(ikind)%forces(:, atom_a), &'*doforce_1
     296             :                            $:                         'force_b=force_b(jkind)%forces(:, atom_b), &'*doforce_2
     297             :                                  hdab=hdab, hadb=hadb, &
     298             :                                  G_count=G_count, R_count=R_count, &
     299      489544 :                                  do_reflection_a=do_reflection_a, do_reflection_b=do_reflection_b)
     300             :                            END IF
     301             :                         #:endfor
     302             :                      #:endfor
     303             :                   END IF
     304             :                END DO
     305             :             END DO
     306             :          END DO
     307             :       END DO
     308             : 
     309         330 :       IF (my_eri_method == do_eri_mme) THEN
     310             : 
     311         156 :          CALL cp_eri_mme_update_local_counts(param, para_env, G_count_2c=G_count, R_count_2c=R_count)
     312             : 
     313             :       END IF
     314             : 
     315     2068042 :       CALL para_env%sum(hab)
     316         330 :       IF (PRESENT(hdab)) CALL para_env%sum(hdab)
     317         330 :       IF (PRESENT(hadb)) CALL para_env%sum(hadb)
     318             : 
     319         330 :       CALL timestop(handle)
     320         660 :    END SUBROUTINE mp2_eri_2c_integrate
     321             : 
     322             : ! **************************************************************************************************
     323             : !> \brief Integrate set pair and contract with sphi matrix.
     324             : !> \param param ...
     325             : !> \param potential_parameter ...
     326             : !> \param la_min ...
     327             : !> \param la_max ...
     328             : !> \param lb_min ...
     329             : !> \param lb_max ...
     330             : !> \param npgfa ...
     331             : !> \param npgfb ...
     332             : !> \param zeta ...
     333             : !> \param zetb ...
     334             : !> \param ra ...
     335             : !> \param rb ...
     336             : !> \param hab ...
     337             : !> \param n_hab_a ...
     338             : !> \param n_hab_b ...
     339             : !> \param offset_hab_a ...
     340             : !> \param offset_hab_b ...
     341             : !> \param offset_set_a ...
     342             : !> \param offset_set_b ...
     343             : !> \param sphi_a ...
     344             : !> \param sphi_b ...
     345             : !> \param sgfa ...
     346             : !> \param sgfb ...
     347             : !> \param nsgfa ...
     348             : !> \param nsgfb ...
     349             : !> \param eri_method ...
     350             : !> \param pab ...
     351             : !> \param force_a ...
     352             : !> \param force_b ...
     353             : !> \param hdab ...
     354             : !> \param hadb ...
     355             : !> \param G_count ...
     356             : !> \param R_count ...
     357             : !> \param do_reflection_a ...
     358             : !> \param do_reflection_b ...
     359             : ! **************************************************************************************************
     360      261140 :    SUBROUTINE integrate_set_2c(param, potential_parameter, la_min, la_max, lb_min, lb_max, npgfa, npgfb, zeta, zetb, &
     361      130570 :                                ra, rb, hab, n_hab_a, n_hab_b, offset_hab_a, offset_hab_b, &
     362      130570 :                                offset_set_a, offset_set_b, sphi_a, sphi_b, sgfa, sgfb, nsgfa, nsgfb, &
     363      130570 :                                eri_method, pab, force_a, force_b, hdab, hadb, G_count, R_count, &
     364             :                                do_reflection_a, do_reflection_b)
     365             :       TYPE(eri_mme_param), INTENT(INOUT)                 :: param
     366             :       TYPE(libint_potential_type), INTENT(IN)            :: potential_parameter
     367             :       INTEGER, INTENT(IN)                                :: la_min, la_max, lb_min, lb_max, npgfa
     368             :       REAL(KIND=dp), DIMENSION(npgfa), INTENT(IN)        :: zeta
     369             :       INTEGER, INTENT(IN)                                :: npgfb
     370             :       REAL(KIND=dp), DIMENSION(npgfb), INTENT(IN)        :: zetb
     371             :       REAL(KIND=dp), DIMENSION(3), INTENT(IN)            :: ra, rb
     372             :       REAL(KIND=dp), DIMENSION(:, :), INTENT(OUT)        :: hab
     373             :       INTEGER, INTENT(IN)                                :: n_hab_a, n_hab_b, offset_hab_a, &
     374             :                                                             offset_hab_b, offset_set_a, &
     375             :                                                             offset_set_b
     376             :       REAL(KIND=dp), DIMENSION(:, :), INTENT(IN)         :: sphi_a
     377             :       INTEGER, INTENT(IN)                                :: sgfa, nsgfa
     378             :       REAL(KIND=dp), DIMENSION(:, :), INTENT(IN)         :: sphi_b
     379             :       INTEGER, INTENT(IN)                                :: sgfb, nsgfb, eri_method
     380             :       REAL(KIND=dp), DIMENSION(:, :), INTENT(IN), &
     381             :          OPTIONAL                                        :: pab
     382             :       REAL(KIND=dp), DIMENSION(3), INTENT(INOUT), &
     383             :          OPTIONAL                                        :: force_a, force_b
     384             :       REAL(KIND=dp), DIMENSION(:, :, :), INTENT(OUT), &
     385             :          OPTIONAL                                        :: hdab, hadb
     386             :       INTEGER, INTENT(INOUT), OPTIONAL                   :: G_count, R_count
     387             :       LOGICAL, INTENT(IN), OPTIONAL                      :: do_reflection_a, do_reflection_b
     388             : 
     389             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'integrate_set_2c'
     390             : 
     391             :       INTEGER :: ax, ay, az, bx, by, bz, hab_a_end, hab_a_start, hab_b_end, hab_b_start, handle, &
     392             :                  i_xyz, ico, icox, icoy, icoz, ipgf, jco, jcox, jcoy, jcoz, jpgf, la, la_max_d, lb, &
     393             :                  lb_max_d, na, nb, ncoa, ncob, set_a_end, set_a_start, set_b_end, set_b_start, &
     394             :                  sphi_a_start, sphi_b_start
     395             :       INTEGER, DIMENSION(3)                              :: la_xyz, lb_xyz
     396             :       LOGICAL                                            :: calculate_forces, my_do_reflection_a, &
     397             :                                                             my_do_reflection_b, do_force_a, do_force_b
     398             :       REAL(KIND=dp)                                      :: rab2
     399      130570 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: f_work
     400      130570 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: hab_contr, hab_uncontr, &
     401      130570 :                                                             hab_uncontr_d, pab_hh, pab_hs, &
     402      130570 :                                                             pab_ss
     403      130570 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :)     :: hadb_contr, hadb_uncontr, hdab_contr, &
     404      130570 :                                                             hdab_uncontr, v_work
     405             : 
     406             :       ! note: tested only for one exponent per pair (npgfa = npgfb = 1)
     407      130570 :       CALL timeset(routineN, handle)
     408             : 
     409      130570 :       my_do_reflection_a = .FALSE.
     410      130570 :       IF (PRESENT(do_reflection_a)) my_do_reflection_a = do_reflection_a
     411             : 
     412      130570 :       my_do_reflection_b = .FALSE.
     413      130570 :       IF (PRESENT(do_reflection_b)) my_do_reflection_b = do_reflection_b
     414             : 
     415      130570 :       do_force_a = PRESENT(force_a) .OR. PRESENT(hdab)
     416      130570 :       do_force_b = PRESENT(force_b) .OR. PRESENT(hadb)
     417      130570 :       calculate_forces = do_force_a .OR. do_force_b
     418             : 
     419      130570 :       IF (PRESENT(force_a) .OR. PRESENT(force_b)) THEN
     420       10144 :          CPASSERT(PRESENT(pab))
     421       30432 :          CPASSERT(ALL(SHAPE(pab) .EQ. SHAPE(hab)))
     422             :       END IF
     423             : 
     424      130570 :       la_max_d = la_max
     425      130570 :       lb_max_d = lb_max
     426             : 
     427      130570 :       IF (calculate_forces) THEN
     428       15792 :          IF (do_force_a) la_max_d = la_max + 1
     429       15792 :          IF (do_force_b) lb_max_d = lb_max + 1
     430             :       END IF
     431             : 
     432      130570 :       ncoa = npgfa*ncoset(la_max)
     433      130570 :       ncob = npgfb*ncoset(lb_max)
     434             : 
     435      130570 :       rab2 = (ra(1) - rb(1))**2 + (ra(2) - rb(2))**2 + (ra(3) - rb(3))**2
     436             : 
     437     5274276 :       ALLOCATE (hab_uncontr_d(ncoset(la_max_d), ncoset(lb_max_d))); hab_uncontr_d(:, :) = 0.0_dp
     438     4743576 :       ALLOCATE (hab_uncontr(ncoa, ncob)); hab_uncontr(:, :) = 0.0_dp
     439      130570 :       IF (PRESENT(hdab)) THEN
     440      655468 :          ALLOCATE (hdab_uncontr(3, ncoa, ncob)); hdab_uncontr(:, :, :) = 0.0_dp
     441             :       END IF
     442      130570 :       IF (PRESENT(hadb)) THEN
     443           0 :          ALLOCATE (hadb_uncontr(3, ncoa, ncob)); hadb_uncontr(:, :, :) = 0.0_dp
     444             :       END IF
     445             : 
     446      130570 :       hab_a_start = offset_hab_a + 1; hab_a_end = offset_hab_a + n_hab_a
     447      130570 :       hab_b_start = offset_hab_b + 1; hab_b_end = offset_hab_b + n_hab_b
     448      130570 :       set_a_start = offset_set_a + 1; set_a_end = offset_set_a + n_hab_a
     449      130570 :       set_b_start = offset_set_b + 1; set_b_end = offset_set_b + n_hab_b
     450             : 
     451      130570 :       IF (eri_method == do_eri_mme) THEN
     452       48982 :          CALL eri_mme_set_potential(param, convert_potential_type(potential_parameter%potential_type), potential_parameter%omega)
     453             : 
     454       48982 :          IF (calculate_forces .AND. PRESENT(pab)) THEN
     455             :             ! uncontracted hermite-gaussian representation of density matrix
     456       10144 :             sphi_a_start = sgfa - 1 + set_a_start
     457       10144 :             sphi_b_start = sgfb - 1 + set_b_start
     458             : 
     459       40576 :             ALLOCATE (pab_ss(n_hab_a, n_hab_b))
     460      121184 :             pab_ss(:, :) = pab(hab_a_start:hab_a_end, hab_b_start:hab_b_end)
     461       60864 :             ALLOCATE (pab_hs(ncoa, n_hab_b)); ALLOCATE (pab_hh(ncoa, ncob))
     462             :             CALL dgemm("N", "N", ncoa, n_hab_b, n_hab_a, 1.0_dp, &
     463       10144 :                        sphi_a(:, sphi_a_start), SIZE(sphi_a, 1), pab_ss, n_hab_a, 0.0_dp, pab_hs, ncoa)
     464             :             CALL dgemm("N", "T", ncoa, ncob, n_hab_b, 1.0_dp, &
     465       10144 :                        pab_hs, ncoa, sphi_b(:, sphi_b_start), SIZE(sphi_b, 1), 0.0_dp, pab_hh, ncoa)
     466             :          END IF
     467             : 
     468       97964 :          DO ipgf = 1, npgfa
     469       48982 :             na = (ipgf - 1)*ncoset(la_max)
     470      146946 :             DO jpgf = 1, npgfb
     471       48982 :                nb = (jpgf - 1)*ncoset(lb_max)
     472     2130574 :                hab_uncontr_d(:, :) = 0.0_dp
     473             :                CALL eri_mme_2c_integrate(param, &
     474             :                                          la_min, la_max_d, lb_min, lb_max_d, &
     475      195928 :                                          zeta(ipgf), zetb(jpgf), ra - rb, hab_uncontr_d, 0, 0, G_count, R_count)
     476             : 
     477             :                hab_uncontr(na + 1:na + ncoset(la_max), nb + 1:nb + ncoset(lb_max)) = &
     478     1599874 :                   hab_uncontr_d(:ncoset(la_max), :ncoset(lb_max))
     479             : 
     480       97964 :                IF (calculate_forces) THEN
     481       31584 :                   DO lb = lb_min, lb_max
     482       62368 :                   DO bx = 0, lb
     483       99346 :                   DO by = 0, lb - bx
     484       52770 :                      bz = lb - bx - by
     485       52770 :                      jco = coset(bx, by, bz)
     486       52770 :                      jcox = coset(bx + 1, by, bz)
     487       52770 :                      jcoy = coset(bx, by + 1, bz)
     488       52770 :                      jcoz = coset(bx, by, bz + 1)
     489      136324 :                      DO la = la_min, la_max
     490      209820 :                      DO ax = 0, la
     491      336900 :                      DO ay = 0, la - ax
     492      179850 :                         az = la - ax - ay
     493      719400 :                         la_xyz = [ax, ay, az]
     494      719400 :                         lb_xyz = [bx, by, bz]
     495      179850 :                         ico = coset(ax, ay, az)
     496      179850 :                         icox = coset(ax + 1, ay, az)
     497      179850 :                         icoy = coset(ax, ay + 1, az)
     498      179850 :                         icoz = coset(ax, ay, az + 1)
     499      179850 :                         IF (PRESENT(force_a)) THEN
     500             :                            force_a(:) = force_a(:) + 2.0_dp*zeta(ipgf)* &
     501             :                                         [pab_hh(na + ico, nb + jco)*hab_uncontr_d(icox, jco), &
     502             :                                          pab_hh(na + ico, nb + jco)*hab_uncontr_d(icoy, jco), &
     503      473800 :                                          pab_hh(na + ico, nb + jco)*hab_uncontr_d(icoz, jco)]
     504             :                         END IF
     505      179850 :                         IF (PRESENT(force_b)) THEN
     506             :                            force_b(:) = force_b(:) + 2.0_dp*zetb(jpgf)* &
     507             :                                         [pab_hh(na + ico, nb + jco)*hab_uncontr_d(ico, jcox), &
     508             :                                          pab_hh(na + ico, nb + jco)*hab_uncontr_d(ico, jcoy), &
     509           0 :                                          pab_hh(na + ico, nb + jco)*hab_uncontr_d(ico, jcoz)]
     510             :                         END IF
     511      179850 :                         IF (PRESENT(hdab)) THEN
     512             :                            hdab_uncontr(1:3, na + ico, nb + jco) = 2.0_dp*zeta(ipgf)* &
     513             :                                                                    [hab_uncontr_d(icox, jco), &
     514             :                                                                     hab_uncontr_d(icoy, jco), &
     515      245600 :                                                                     hab_uncontr_d(icoz, jco)]
     516             :                         END IF
     517      284130 :                         IF (PRESENT(hadb)) THEN
     518             :                            hadb_uncontr(1:3, na + ico, nb + jco) = 2.0_dp*zetb(jpgf)* &
     519             :                                                                    [hab_uncontr_d(ico, jcox), &
     520             :                                                                     hab_uncontr_d(ico, jcoy), &
     521           0 :                                                                     hab_uncontr_d(ico, jcoz)]
     522             :                         END IF
     523             :                      END DO
     524             :                      END DO
     525             :                      END DO
     526             :                   END DO
     527             :                   END DO
     528             :                   END DO
     529             :                END IF
     530             : 
     531             :             END DO
     532             :          END DO
     533             : 
     534       81588 :       ELSE IF (eri_method == do_eri_os) THEN
     535             : 
     536       81588 :          IF (calculate_forces) CPABORT("NYI")
     537             : 
     538      244764 :          ALLOCATE (f_work(0:la_max + lb_max + 2))
     539      407940 :          ALLOCATE (v_work(ncoa, ncob, la_max + lb_max + 1))
     540    12725215 :          v_work(:, :, :) = 0.0_dp
     541      481332 :          f_work = 0.0_dp
     542             : 
     543             :          CALL coulomb2_new(la_max, npgfa, zeta, la_min, lb_max, npgfb, zetb, lb_min, &
     544      326352 :                            rb - ra, rab2, hab_uncontr, v_work, f_work)
     545             : 
     546       81588 :          DEALLOCATE (v_work, f_work)
     547             : 
     548           0 :       ELSE IF (eri_method == do_eri_gpw) THEN
     549             : 
     550           0 :          CPABORT("GPW not enabled in the ERI interface.")
     551             : 
     552             :       END IF
     553             : 
     554      522280 :       ALLOCATE (hab_contr(nsgfa, nsgfb))
     555      130570 :       IF (PRESENT(hdab)) THEN
     556       22592 :          ALLOCATE (hdab_contr(3, nsgfa, nsgfb))
     557             :       END IF
     558      130570 :       IF (PRESENT(hadb)) THEN
     559           0 :          ALLOCATE (hadb_contr(3, nsgfa, nsgfb))
     560             :       END IF
     561             : 
     562      130570 :       CALL ab_contract(hab_contr, hab_uncontr, sphi_a(:, sgfa:), sphi_b(:, sgfb:), ncoa, ncob, nsgfa, nsgfb)
     563             : 
     564      130570 :       IF (calculate_forces) THEN
     565       63168 :          DO i_xyz = 1, 3
     566       47376 :             IF (PRESENT(hdab)) THEN
     567             :                CALL ab_contract(hdab_contr(i_xyz, :, :), hdab_uncontr(i_xyz, :, :), &
     568       16944 :                                 sphi_a(:, sgfa:), sphi_b(:, sgfb:), ncoa, ncob, nsgfa, nsgfb)
     569             :             END IF
     570       63168 :             IF (PRESENT(hadb)) THEN
     571             :                CALL ab_contract(hadb_contr(i_xyz, :, :), hadb_uncontr(i_xyz, :, :), &
     572           0 :                                 sphi_a(:, sgfa:), sphi_b(:, sgfb:), ncoa, ncob, nsgfa, nsgfb)
     573             :             END IF
     574             :          END DO
     575             :       END IF
     576             : 
     577     1530498 :       hab(hab_a_start:hab_a_end, hab_b_start:hab_b_end) = hab_contr(set_a_start:set_a_end, set_b_start:set_b_end)
     578             : 
     579      130570 :       IF (calculate_forces) THEN
     580       15792 :          IF (PRESENT(hdab)) hdab(:, hab_a_start:hab_a_end, hab_b_start:hab_b_end) = &
     581      207536 :             hdab_contr(:, set_a_start:set_a_end, set_b_start:set_b_end)
     582       15792 :          IF (PRESENT(hadb)) hadb(:, hab_a_start:hab_a_end, hab_b_start:hab_b_end) = &
     583           0 :             hadb_contr(:, set_a_start:set_a_end, set_b_start:set_b_end)
     584             :       END IF
     585             : 
     586      130570 :       CALL timestop(handle)
     587             : 
     588      261140 :    END SUBROUTINE integrate_set_2c
     589             : 
     590             : ! **************************************************************************************************
     591             : !> \brief high-level integration routine for 3c integrals (ab|c) over CP2K basis sets.
     592             : !>        For each local function of c, (ab|c) is written to a DBCSR matrix mat_ab.
     593             : !> \param param ...
     594             : !> \param potential_parameter ...
     595             : !> \param para_env ...
     596             : !> \param qs_env ...
     597             : !> \param first_c start index of local range of c
     598             : !> \param last_c end index of local range of c
     599             : !> \param mat_ab DBCSR matrices for each c
     600             : !> \param basis_type_a ...
     601             : !> \param basis_type_b ...
     602             : !> \param basis_type_c ...
     603             : !> \param sab_nl neighbor list for a, b
     604             : !> \param eri_method ...
     605             : !> \param pabc ...
     606             : !> \param force_a ...
     607             : !> \param force_b ...
     608             : !> \param force_c ...
     609             : !> \param mat_dabc ...
     610             : !> \param mat_adbc ...
     611             : !> \param mat_abdc ...
     612             : ! **************************************************************************************************
     613         208 :    SUBROUTINE mp2_eri_3c_integrate(param, potential_parameter, para_env, qs_env, &
     614         208 :                                    first_c, last_c, mat_ab, &
     615             :                                    basis_type_a, basis_type_b, basis_type_c, &
     616             :                                    sab_nl, eri_method, &
     617         208 :                                    pabc, force_a, force_b, force_c, &
     618         208 :                                    mat_dabc, mat_adbc, mat_abdc)
     619             :       TYPE(cp_eri_mme_param), INTENT(INOUT)              :: param
     620             :       TYPE(libint_potential_type), INTENT(IN)            :: potential_parameter
     621             :       TYPE(mp_para_env_type), INTENT(IN)        :: para_env
     622             :       TYPE(qs_environment_type), INTENT(IN), POINTER     :: qs_env
     623             :       INTEGER, INTENT(IN)                                :: first_c, last_c
     624             :       TYPE(dbcsr_p_type), DIMENSION(last_c - first_c + 1), &
     625             :          INTENT(INOUT)                                   :: mat_ab
     626             :       CHARACTER(LEN=*), INTENT(IN)                       :: basis_type_a, basis_type_b, basis_type_c
     627             :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     628             :          POINTER                                         :: sab_nl
     629             :       INTEGER, INTENT(IN), OPTIONAL                      :: eri_method
     630             :       TYPE(dbcsr_p_type), DIMENSION(last_c - first_c + 1), &
     631             :          INTENT(INOUT), OPTIONAL                         :: pabc
     632             :       TYPE(mp2_eri_force), ALLOCATABLE, &
     633             :          DIMENSION(:), INTENT(OUT), OPTIONAL             :: force_a, force_b, force_c
     634             :       TYPE(dbcsr_p_type), &
     635             :          DIMENSION(3, last_c - first_c + 1), INTENT(INOUT), &
     636             :          OPTIONAL                                        :: mat_dabc, mat_adbc, mat_abdc
     637             : 
     638             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'mp2_eri_3c_integrate'
     639             : 
     640             :       INTEGER :: atom_a, atom_b, atom_c, atom_end, atom_start, first_set, GG_count, GR_count, &
     641             :                  handle, i_xyz, iatom, ic, icol, ikind, inode, irow, iset, jatom, jkind, jset, katom, &
     642             :                  kkind, kset, kset_end, kset_start, last_jatom, last_set, mepos, my_eri_method, na, natom, &
     643             :                  nb, nc, nkind, nseta, nsetb, nsetc, nthread, offset_a_end, offset_a_start, offset_b_end, &
     644             :                  offset_b_start, offset_c_end, offset_c_start, RR_count, set_end, set_offset_end, &
     645             :                  set_offset_start, set_start, sgfa, sgfb, sgfc
     646         208 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: atom_of_kind, kind_of, natom_of_kind
     647         208 :       INTEGER, ALLOCATABLE, DIMENSION(:, :)              :: eri_offsets
     648         208 :       INTEGER, DIMENSION(:), POINTER                     :: la_max, la_min, lb_max, lb_min, lc_max, &
     649         208 :                                                             lc_min, npgfa, npgfb, npgfc, nsgfa, &
     650         208 :                                                             nsgfb, nsgfc
     651         208 :       INTEGER, DIMENSION(:, :), POINTER                  :: first_sgfa, first_sgfb, first_sgfc
     652             :       LOGICAL                                            :: calculate_forces, do_symmetric, found, &
     653             :                                                             to_be_asserted
     654             :       REAL(KIND=dp)                                      :: dab
     655         208 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :)     :: habc, pabc_block
     656         208 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :, :)  :: habdc, hadbc, hdabc
     657             :       REAL(KIND=dp), DIMENSION(3)                        :: ra, rab, rb, rc
     658         208 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: set_radius_a, set_radius_b
     659         208 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: munu_block, pab_block, rpgfb, sphi_a, &
     660         208 :                                                             sphi_b, sphi_c, zeta, zetb, zetc
     661         208 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     662             :       TYPE(cell_type), POINTER                           :: cell
     663         208 :       TYPE(gto_basis_set_p_type), DIMENSION(:), POINTER  :: basis_set_list_a, basis_set_list_b
     664             :       TYPE(gto_basis_set_type), POINTER                  :: basis_set_a, basis_set_b, basis_set_c
     665             :       TYPE(neighbor_list_iterator_p_type), &
     666         208 :          DIMENSION(:), POINTER                           :: nl_iterator
     667         208 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     668         208 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     669             : 
     670         208 :       CALL timeset(routineN, handle)
     671             : 
     672             :       calculate_forces = PRESENT(force_a) .OR. PRESENT(force_b) .OR. PRESENT(force_c) .OR. &
     673         208 :                          PRESENT(mat_dabc) .OR. PRESENT(mat_adbc) .OR. PRESENT(mat_abdc)
     674             : 
     675         208 :       my_eri_method = do_eri_mme
     676         208 :       IF (PRESENT(eri_method)) my_eri_method = eri_method
     677             : 
     678         208 :       IF (PRESENT(force_a) .OR. PRESENT(force_b) .OR. PRESENT(force_c)) THEN
     679          26 :          CPASSERT(PRESENT(pabc))
     680             :       END IF
     681             : 
     682         208 :       GG_count = 0; GR_count = 0; RR_count = 0
     683             : 
     684         208 :       nthread = 1
     685             : 
     686             :       ! get mapping between ERIs and atoms, sets, set offsets
     687             :       CALL get_eri_offsets(qs_env, basis_type_c, eri_offsets)
     688             : 
     689         208 :       atom_start = eri_offsets(first_c, 1)
     690         208 :       set_start = eri_offsets(first_c, 2)
     691         208 :       set_offset_start = eri_offsets(first_c, 3)
     692             : 
     693         208 :       atom_end = eri_offsets(last_c, 1)
     694         208 :       set_end = eri_offsets(last_c, 2)
     695         208 :       set_offset_end = eri_offsets(last_c, 3)
     696             : 
     697             :       ! get QS stuff
     698             :       CALL get_qs_env(qs_env, &
     699             :                       atomic_kind_set=atomic_kind_set, &
     700             :                       natom=natom, &
     701             :                       qs_kind_set=qs_kind_set, &
     702             :                       particle_set=particle_set, &
     703             :                       cell=cell, &
     704         208 :                       nkind=nkind)
     705             : 
     706         208 :       CALL get_atomic_kind_set(atomic_kind_set, atom_of_kind=atom_of_kind, kind_of=kind_of, natom_of_kind=natom_of_kind)
     707             : 
     708         208 :       IF (PRESENT(force_a)) CALL mp2_eri_allocate_forces(force_a, natom_of_kind)
     709         208 :       IF (PRESENT(force_b)) CALL mp2_eri_allocate_forces(force_b, natom_of_kind)
     710         208 :       IF (PRESENT(force_c)) CALL mp2_eri_allocate_forces(force_c, natom_of_kind)
     711             : 
     712         208 :       nc = last_c - first_c + 1
     713             : 
     714             :       ! check for symmetry
     715         208 :       CPASSERT(SIZE(sab_nl) > 0)
     716         208 :       CALL get_neighbor_list_set_p(neighbor_list_sets=sab_nl, symmetric=do_symmetric)
     717             : 
     718         208 :       IF (do_symmetric) THEN
     719         208 :          CPASSERT(basis_type_a == basis_type_b)
     720             :       END IF
     721             : 
     722        1516 :       ALLOCATE (basis_set_list_a(nkind), basis_set_list_b(nkind))
     723         208 :       CALL basis_set_list_setup(basis_set_list_a, basis_type_a, qs_kind_set)
     724         208 :       CALL basis_set_list_setup(basis_set_list_b, basis_type_b, qs_kind_set)
     725             : 
     726         208 :       CALL neighbor_list_iterator_create(nl_iterator, sab_nl, nthread=nthread)
     727             : 
     728         208 :       mepos = 0
     729             : 
     730       11982 :       DO WHILE (neighbor_list_iterate(nl_iterator, mepos=mepos) == 0)
     731             :          CALL get_iterator_info(nl_iterator, mepos=mepos, ikind=ikind, jkind=jkind, inode=inode, &
     732       11774 :                                 iatom=iatom, jatom=jatom, r=rab)
     733             : 
     734             :          ! exclude periodic images because method is periodic intrinsically
     735       11774 :          IF (inode == 1) last_jatom = 0
     736             : 
     737       11774 :          IF (jatom /= last_jatom) THEN
     738        1002 :             last_jatom = jatom
     739             :          ELSE
     740             :             CYCLE
     741             :          END IF
     742             : 
     743        1002 :          basis_set_a => basis_set_list_a(ikind)%gto_basis_set
     744        1002 :          IF (.NOT. ASSOCIATED(basis_set_a)) CYCLE
     745        1002 :          basis_set_b => basis_set_list_b(jkind)%gto_basis_set
     746        1002 :          IF (.NOT. ASSOCIATED(basis_set_b)) CYCLE
     747        1002 :          atom_a = atom_of_kind(iatom)
     748        1002 :          atom_b = atom_of_kind(jatom)
     749             : 
     750        1002 :          first_sgfa => basis_set_a%first_sgf
     751        1002 :          la_max => basis_set_a%lmax
     752        1002 :          la_min => basis_set_a%lmin
     753        1002 :          npgfa => basis_set_a%npgf
     754        1002 :          nseta = basis_set_a%nset
     755        1002 :          nsgfa => basis_set_a%nsgf_set
     756        1002 :          set_radius_a => basis_set_a%set_radius
     757        1002 :          sphi_a => basis_set_a%sphi
     758        1002 :          zeta => basis_set_a%zet
     759        3540 :          na = SUM(nsgfa)
     760             : 
     761        1002 :          ra(:) = pbc(particle_set(iatom)%r, cell)
     762             : 
     763             :          ! basis jkind
     764        1002 :          first_sgfb => basis_set_b%first_sgf
     765        1002 :          lb_max => basis_set_b%lmax
     766        1002 :          lb_min => basis_set_b%lmin
     767        1002 :          npgfb => basis_set_b%npgf
     768        1002 :          nsetb = basis_set_b%nset
     769        1002 :          nsgfb => basis_set_b%nsgf_set
     770        1002 :          rpgfb => basis_set_b%pgf_radius
     771        1002 :          set_radius_b => basis_set_b%set_radius
     772        1002 :          sphi_b => basis_set_b%sphi
     773        1002 :          zetb => basis_set_b%zet
     774        3540 :          nb = SUM(nsgfb)
     775             : 
     776        1002 :          rb(:) = pbc(particle_set(jatom)%r, cell)
     777             : 
     778        1002 :          IF (do_symmetric) THEN
     779        1002 :             IF (iatom <= jatom) THEN
     780         668 :                irow = iatom
     781         668 :                icol = jatom
     782             :             ELSE
     783         334 :                irow = jatom
     784         334 :                icol = iatom
     785             :             END IF
     786             :          ELSE
     787           0 :             irow = iatom
     788           0 :             icol = jatom
     789             :          END IF
     790             : 
     791        5010 :          ALLOCATE (habc(na, nb, nc))
     792     2079024 :          habc(:, :, :) = 0.0_dp ! needs to be initialized due to screening
     793        1002 :          IF (PRESENT(mat_dabc)) THEN
     794           0 :             ALLOCATE (hdabc(3, na, nb, nc))
     795           0 :             hdabc(:, :, :, :) = 0.0_dp
     796             :          END IF
     797        1002 :          IF (PRESENT(mat_adbc)) THEN
     798           0 :             ALLOCATE (hadbc(3, na, nb, nc))
     799           0 :             hadbc(:, :, :, :) = 0.0_dp
     800             :          END IF
     801        1002 :          IF (PRESENT(mat_abdc)) THEN
     802           0 :             ALLOCATE (habdc(3, na, nb, nc))
     803           0 :             habdc(:, :, :, :) = 0.0_dp
     804             :          END IF
     805             : 
     806        1002 :          IF (calculate_forces .AND. PRESENT(pabc)) THEN
     807         540 :             ALLOCATE (pabc_block(na, nb, nc))
     808        5613 :             DO ic = 1, nc
     809        5478 :                NULLIFY (pab_block)
     810             :                CALL dbcsr_get_block_p(matrix=pabc(ic)%matrix, &
     811        5478 :                                       row=irow, col=icol, block=pab_block, found=found)
     812        5478 :                CPASSERT(found)
     813       11091 :                IF (irow .EQ. iatom) THEN
     814        3652 :                   to_be_asserted = SIZE(pab_block, 1) .EQ. SIZE(pabc_block, 1) .AND. SIZE(pab_block, 2) .EQ. SIZE(pabc_block, 2)
     815           0 :                   CPASSERT(to_be_asserted)
     816      188567 :                   pabc_block(:, :, ic) = pab_block(:, :)
     817             :                ELSE
     818        1826 :                   to_be_asserted = SIZE(pab_block, 2) .EQ. SIZE(pabc_block, 1) .AND. SIZE(pab_block, 1) .EQ. SIZE(pabc_block, 2)
     819           0 :                   CPASSERT(to_be_asserted)
     820       72496 :                   pabc_block(:, :, ic) = TRANSPOSE(pab_block(:, :))
     821             :                END IF
     822             :             END DO
     823             :          END IF
     824             : 
     825        4008 :          rab(:) = pbc(rab, cell)
     826        1002 :          dab = SQRT(rab(1)**2 + rab(2)**2 + rab(3)**2)
     827             : 
     828        1002 :          offset_a_end = 0
     829        3540 :          DO iset = 1, nseta
     830        2538 :             offset_a_start = offset_a_end
     831        2538 :             offset_a_end = offset_a_end + nsgfa(iset)
     832        2538 :             sgfa = first_sgfa(1, iset)
     833             : 
     834        2538 :             offset_b_end = 0
     835       10704 :             DO jset = 1, nsetb
     836        7164 :                offset_b_start = offset_b_end
     837        7164 :                offset_b_end = offset_b_end + nsgfb(jset)
     838             : 
     839        7164 :                sgfb = first_sgfb(1, jset)
     840             : 
     841             :                ! Screening
     842        7164 :                IF (set_radius_a(iset) + set_radius_b(jset) < dab) CYCLE
     843             : 
     844             :                offset_c_end = 0
     845       22560 :                DO katom = atom_start, atom_end
     846             : 
     847       12858 :                   atom_c = atom_of_kind(katom)
     848             : 
     849       12858 :                   kkind = kind_of(katom)
     850       12858 :                   CALL get_qs_kind(qs_kind=qs_kind_set(kkind), basis_set=basis_set_c, basis_type=basis_type_c)
     851       12858 :                   first_sgfc => basis_set_c%first_sgf
     852       12858 :                   lc_max => basis_set_c%lmax
     853       12858 :                   lc_min => basis_set_c%lmin
     854       12858 :                   nsetc = basis_set_c%nset
     855       12858 :                   nsgfc => basis_set_c%nsgf_set
     856       12858 :                   sphi_c => basis_set_c%sphi
     857       12858 :                   zetc => basis_set_c%zet
     858       12858 :                   npgfc => basis_set_c%npgf
     859             : 
     860       12858 :                   rc(:) = pbc(particle_set(katom)%r, cell)
     861             : 
     862       12858 :                   kset_start = 1; kset_end = nsetc
     863       12858 :                   IF (katom == atom_start) kset_start = set_start
     864       12858 :                   IF (katom == atom_end) kset_end = set_end
     865             : 
     866      115710 :                   DO kset = kset_start, kset_end
     867       95688 :                      first_set = 1; last_set = nsgfc(kset)
     868       95688 :                      IF (kset == kset_start .AND. katom == atom_start) first_set = set_offset_start
     869       95688 :                      IF (kset == kset_end .AND. katom == atom_end) last_set = set_offset_end
     870             : 
     871       95688 :                      offset_c_start = offset_c_end
     872       95688 :                      offset_c_end = offset_c_end + last_set + 1 - first_set
     873       95688 :                      sgfc = first_sgfc(1, kset)
     874             : 
     875             :                      #!some fypp magic to deal with combinations of optional arguments
     876             :                      #:for pabc_present in [0, 1]
     877             :                         #:for doforce_1 in [0, 1]
     878             :                            #:for doforce_2 in [0, 1]
     879             :                               #:for doforce_3 in [0, 1]
     880             :                                  #:for dabc in [0, 1]
     881             :                                     #:for adbc in [0, 1]
     882             :                                        #:for abdc in [0, 1]
     883             :                                           IF (${conditional(doforce_1)}$PRESENT(force_a) .AND. &
     884             :                                               ${conditional(doforce_2)}$PRESENT(force_b) .AND. &
     885             :                                               ${conditional(doforce_3)}$PRESENT(force_c) .AND. &
     886             :                                               ${conditional(pabc_present)}$PRESENT(pabc) .AND. &
     887             :                                               ${conditional(dabc)}$PRESENT(mat_dabc) .AND. &
     888      191376 :                                               ${conditional(adbc)}$PRESENT(mat_adbc) .AND. &
     889       12858 :                                               ${conditional(abdc)}$PRESENT(mat_abdc)) THEN
     890             :                                              CALL integrate_set_3c( &
     891             :                                                 param%par, potential_parameter, &
     892             :                                                 la_min(iset), la_max(iset), &
     893             :                                                 lb_min(jset), lb_max(jset), &
     894             :                                                 lc_min(kset), lc_max(kset), &
     895             :                                                 npgfa(iset), npgfb(jset), npgfc(kset), &
     896             :                                                 zeta(:, iset), zetb(:, jset), zetc(:, kset), &
     897             :                                                 ra, rb, rc, &
     898             :                                                 habc, &
     899             :                                                 nsgfa(iset), nsgfb(jset), last_set - first_set + 1, &
     900             :                                                 offset_a_start, offset_b_start, offset_c_start, &
     901             :                                                 0, 0, first_set - 1, &
     902             :                                                 sphi_a, sphi_b, sphi_c, &
     903             :                                                 sgfa, sgfb, sgfc, &
     904             :                                                 nsgfa(iset), nsgfb(jset), nsgfc(kset), &
     905             :                                                 my_eri_method, &
     906             :                            $:                         'pabc=pabc_block, &'*pabc_present
     907             :                            $:                         'force_a=force_a(ikind)%forces(:, atom_a), &'*doforce_1
     908             :                            $:                         'force_b=force_b(jkind)%forces(:, atom_b), &'*doforce_2
     909             :                            $:                         'force_c=force_c(kkind)%forces(:, atom_c), &'*doforce_3
     910             :                                                 do_symmetric=do_symmetric, &
     911             :                                                 on_diagonal=iatom .EQ. jatom, &
     912             :                            $:                         'hdabc=hdabc, &'*dabc
     913             :                            $:                         'hadbc=hadbc, &'*adbc
     914             :                            $:                         'habdc=habdc, &'*abdc
     915       95688 :                                                 GG_count=GG_count, GR_count=GR_count, RR_count=RR_count)
     916             :                                           END IF
     917             :                                        #:endfor
     918             :                                     #:endfor
     919             :                                  #:endfor
     920             :                               #:endfor
     921             :                            #:endfor
     922             :                         #:endfor
     923             :                      #:endfor
     924             :                   END DO
     925             :                END DO
     926             :             END DO
     927             :          END DO
     928             : 
     929        1002 :          IF (calculate_forces .AND. PRESENT(pabc)) DEALLOCATE (pabc_block)
     930       37386 :          DO ic = 1, nc
     931       36384 :             NULLIFY (munu_block)
     932             :             CALL dbcsr_get_block_p(matrix=mat_ab(ic)%matrix, &
     933       36384 :                                    row=irow, col=icol, block=munu_block, found=found)
     934       36384 :             CPASSERT(found)
     935     2041560 :             munu_block(:, :) = 0.0_dp
     936       73770 :             IF (irow .EQ. iatom) THEN
     937       24256 :                to_be_asserted = SIZE(munu_block, 1) .EQ. SIZE(habc, 1) .AND. SIZE(munu_block, 2) .EQ. SIZE(habc, 2)
     938           0 :                CPASSERT(to_be_asserted)
     939     1516657 :                munu_block(:, :) = habc(:, :, ic)
     940             :             ELSE
     941       12128 :                to_be_asserted = SIZE(munu_block, 2) .EQ. SIZE(habc, 1) .AND. SIZE(munu_block, 1) .EQ. SIZE(habc, 2)
     942           0 :                CPASSERT(to_be_asserted)
     943      524903 :                munu_block(:, :) = TRANSPOSE(habc(:, :, ic))
     944             :             END IF
     945             :          END DO
     946        1002 :          DEALLOCATE (habc)
     947        1210 :          IF (calculate_forces) THEN
     948        5613 :             DO ic = 1, nc
     949       22047 :                DO i_xyz = 1, 3
     950       16434 :                   IF (PRESENT(mat_dabc)) THEN
     951           0 :                      NULLIFY (munu_block)
     952             :                      CALL dbcsr_get_block_p(matrix=mat_dabc(i_xyz, ic)%matrix, &
     953           0 :                                             row=irow, col=icol, block=munu_block, found=found)
     954           0 :                      CPASSERT(found)
     955           0 :                      munu_block(:, :) = 0.0_dp
     956           0 :                      IF (irow .EQ. iatom) THEN
     957           0 :                         munu_block(:, :) = hdabc(i_xyz, :, :, ic)
     958             :                      ELSE
     959           0 :                         munu_block(:, :) = TRANSPOSE(hdabc(i_xyz, :, :, ic))
     960             :                      END IF
     961             :                   END IF
     962       16434 :                   IF (PRESENT(mat_adbc)) THEN
     963           0 :                      NULLIFY (munu_block)
     964             :                      CALL dbcsr_get_block_p(matrix=mat_adbc(i_xyz, ic)%matrix, &
     965           0 :                                             row=irow, col=icol, block=munu_block, found=found)
     966           0 :                      CPASSERT(found)
     967           0 :                      munu_block(:, :) = 0.0_dp
     968           0 :                      IF (irow .EQ. iatom) THEN
     969           0 :                         munu_block(:, :) = hadbc(i_xyz, :, :, ic)
     970             :                      ELSE
     971           0 :                         munu_block(:, :) = TRANSPOSE(hadbc(i_xyz, :, :, ic))
     972             :                      END IF
     973             :                   END IF
     974       21912 :                   IF (PRESENT(mat_abdc)) THEN
     975           0 :                      NULLIFY (munu_block)
     976             :                      CALL dbcsr_get_block_p(matrix=mat_abdc(i_xyz, ic)%matrix, &
     977           0 :                                             row=irow, col=icol, block=munu_block, found=found)
     978           0 :                      CPASSERT(found)
     979           0 :                      munu_block(:, :) = 0.0_dp
     980           0 :                      IF (irow .EQ. iatom) THEN
     981           0 :                         munu_block(:, :) = habdc(i_xyz, :, :, ic)
     982             :                      ELSE
     983           0 :                         munu_block(:, :) = TRANSPOSE(habdc(i_xyz, :, :, ic))
     984             :                      END IF
     985             :                   END IF
     986             :                END DO
     987             :             END DO
     988         135 :             IF (PRESENT(mat_dabc)) DEALLOCATE (hdabc)
     989         135 :             IF (PRESENT(mat_adbc)) DEALLOCATE (hadbc)
     990         135 :             IF (PRESENT(mat_abdc)) DEALLOCATE (habdc)
     991             :          END IF
     992             :       END DO
     993             : 
     994         208 :       DEALLOCATE (basis_set_list_a, basis_set_list_b)
     995         208 :       CALL neighbor_list_iterator_release(nl_iterator)
     996             : 
     997         208 :       CALL cp_eri_mme_update_local_counts(param, para_env, GG_count_3c=GG_count, GR_count_3c=GR_count, RR_count_3c=RR_count)
     998             : 
     999         208 :       CALL timestop(handle)
    1000         832 :    END SUBROUTINE mp2_eri_3c_integrate
    1001             : 
    1002             : ! **************************************************************************************************
    1003             : !> \brief Integrate set triple and contract with sphi matrix
    1004             : !> \param param ...
    1005             : !> \param potential_parameter ...
    1006             : !> \param la_min ...
    1007             : !> \param la_max ...
    1008             : !> \param lb_min ...
    1009             : !> \param lb_max ...
    1010             : !> \param lc_min ...
    1011             : !> \param lc_max ...
    1012             : !> \param npgfa ...
    1013             : !> \param npgfb ...
    1014             : !> \param npgfc ...
    1015             : !> \param zeta ...
    1016             : !> \param zetb ...
    1017             : !> \param zetc ...
    1018             : !> \param ra ...
    1019             : !> \param rb ...
    1020             : !> \param rc ...
    1021             : !> \param habc ...
    1022             : !> \param n_habc_a ...
    1023             : !> \param n_habc_b ...
    1024             : !> \param n_habc_c ...
    1025             : !> \param offset_habc_a ...
    1026             : !> \param offset_habc_b ...
    1027             : !> \param offset_habc_c ...
    1028             : !> \param offset_set_a ...
    1029             : !> \param offset_set_b ...
    1030             : !> \param offset_set_c ...
    1031             : !> \param sphi_a ...
    1032             : !> \param sphi_b ...
    1033             : !> \param sphi_c ...
    1034             : !> \param sgfa ...
    1035             : !> \param sgfb ...
    1036             : !> \param sgfc ...
    1037             : !> \param nsgfa ...
    1038             : !> \param nsgfb ...
    1039             : !> \param nsgfc ...
    1040             : !> \param eri_method ...
    1041             : !> \param pabc ...
    1042             : !> \param force_a ...
    1043             : !> \param force_b ...
    1044             : !> \param force_c ...
    1045             : !> \param do_symmetric ...
    1046             : !> \param on_diagonal ...
    1047             : !> \param hdabc ...
    1048             : !> \param hadbc ...
    1049             : !> \param habdc ...
    1050             : !> \param GG_count ...
    1051             : !> \param GR_count ...
    1052             : !> \param RR_count ...
    1053             : !> \note
    1054             : ! **************************************************************************************************
    1055       95688 :    SUBROUTINE integrate_set_3c(param, potential_parameter, &
    1056             :                                la_min, la_max, lb_min, lb_max, lc_min, lc_max, &
    1057             :                                npgfa, npgfb, npgfc, &
    1058       95688 :                                zeta, zetb, zetc, &
    1059             :                                ra, rb, rc, &
    1060      191376 :                                habc, &
    1061             :                                n_habc_a, n_habc_b, n_habc_c, &
    1062             :                                offset_habc_a, offset_habc_b, offset_habc_c, &
    1063             :                                offset_set_a, offset_set_b, offset_set_c, &
    1064       95688 :                                sphi_a, sphi_b, sphi_c, &
    1065             :                                sgfa, sgfb, sgfc, &
    1066             :                                nsgfa, nsgfb, nsgfc, &
    1067             :                                eri_method, &
    1068       95688 :                                pabc, &
    1069             :                                force_a, force_b, force_c, &
    1070             :                                do_symmetric, on_diagonal, &
    1071       95688 :                                hdabc, hadbc, habdc, &
    1072             :                                GG_count, GR_count, RR_count)
    1073             : 
    1074             :       TYPE(eri_mme_param), INTENT(INOUT)                 :: param
    1075             :       TYPE(libint_potential_type), INTENT(IN)            :: potential_parameter
    1076             :       INTEGER, INTENT(IN)                                :: la_min, la_max, lb_min, lb_max, lc_min, &
    1077             :                                                             lc_max, npgfa, npgfb, npgfc
    1078             :       REAL(KIND=dp), DIMENSION(npgfa), INTENT(IN)        :: zeta
    1079             :       REAL(KIND=dp), DIMENSION(npgfb), INTENT(IN)        :: zetb
    1080             :       REAL(KIND=dp), DIMENSION(npgfc), INTENT(IN)        :: zetc
    1081             :       REAL(KIND=dp), DIMENSION(3), INTENT(IN)            :: ra, rb, rc
    1082             :       REAL(KIND=dp), DIMENSION(:, :, :), INTENT(INOUT)   :: habc
    1083             :       INTEGER, INTENT(IN) :: n_habc_a, n_habc_b, n_habc_c, offset_habc_a, offset_habc_b, &
    1084             :                              offset_habc_c, offset_set_a, offset_set_b, offset_set_c
    1085             :       REAL(KIND=dp), DIMENSION(:, :), INTENT(IN)         :: sphi_a, sphi_b, sphi_c
    1086             :       INTEGER, INTENT(IN)                                :: sgfa, sgfb, sgfc, nsgfa, nsgfb, nsgfc, &
    1087             :                                                             eri_method
    1088             :       REAL(KIND=dp), DIMENSION(:, :, :), INTENT(IN), &
    1089             :          OPTIONAL                                        :: pabc
    1090             :       REAL(KIND=dp), DIMENSION(3), INTENT(INOUT), &
    1091             :          OPTIONAL                                        :: force_a, force_b, force_c
    1092             :       LOGICAL, INTENT(IN)                                :: do_symmetric
    1093             :       LOGICAL, INTENT(IN), OPTIONAL                      :: on_diagonal
    1094             :       REAL(KIND=dp), DIMENSION(:, :, :, :), &
    1095             :          INTENT(OUT), OPTIONAL                           :: hdabc, hadbc, habdc
    1096             :       INTEGER, INTENT(INOUT), OPTIONAL                   :: GG_count, GR_count, RR_count
    1097             : 
    1098             :       CHARACTER(len=*), PARAMETER :: routineN = 'integrate_set_3c'
    1099             : 
    1100             :       INTEGER :: ax, ay, az, bx, by, bz, cx, cy, cz, habc_a_end, habc_a_start, habc_b_end, &
    1101             :                  habc_b_start, habc_c_end, habc_c_start, handle, i_xyz, ico, icoc, icox, icoy, icoz, ipgf, &
    1102             :                  jco, jcox, jcoy, jcoz, jpgf, kco, kcox, kcoy, kcoz, kpgf, la, la_max_d, lb, &
    1103             :                  lb_max_d, lc, lc_max_d, na, nb, nc, nc_end, nc_start, ncoa, ncoa_d, ncob, &
    1104             :                  ncob_d, ncoc, ncoc_d, set_a_end, set_a_start, set_b_end, set_b_start, &
    1105             :                  set_c_end, set_c_start, sphi_a_start, sphi_b_start, sphi_c_start
    1106             :       INTEGER, DIMENSION(3)                              :: la_xyz, lb_xyz
    1107             :       LOGICAL                                            :: calculate_forces, do_force_a, do_force_b, &
    1108             :                                                             do_force_c
    1109             :       REAL(KIND=dp)                                      :: rab2, rac2, rbc2, w
    1110       95688 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: f_work, gccc, rpgfa, rpgfb, rpgfc
    1111       95688 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: pab_hh, pab_hs, vabc
    1112       95688 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :)     :: habc_contr, habc_uncontr, &
    1113       95688 :                                                             habc_uncontr_d, pabc_hhh, &
    1114       95688 :                                                             pabc_hsh, pabc_hss, pabc_sss
    1115       95688 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :, :)  :: habdc_contr, habdc_uncontr, hadbc_contr, &
    1116       95688 :                                                             hadbc_uncontr, hdabc_contr, &
    1117       95688 :                                                             hdabc_uncontr, v_work
    1118             : 
    1119       95688 :       CALL timeset(routineN, handle)
    1120             : 
    1121       95688 :       do_force_a = PRESENT(force_a) .OR. PRESENT(hdabc)
    1122       95688 :       do_force_b = PRESENT(force_b) .OR. PRESENT(hadbc)
    1123       95688 :       do_force_c = PRESENT(force_c) .OR. PRESENT(habdc)
    1124       95688 :       calculate_forces = do_force_a .OR. do_force_b .OR. do_force_c
    1125             : 
    1126       95688 :       IF (do_symmetric) THEN
    1127       95688 :          CPASSERT(PRESENT(on_diagonal))
    1128             :       END IF
    1129             : 
    1130       95688 :       la_max_d = la_max
    1131       95688 :       lb_max_d = lb_max
    1132       95688 :       lc_max_d = lc_max
    1133             : 
    1134       95688 :       IF (calculate_forces) THEN
    1135       10386 :          IF (do_force_a) la_max_d = la_max + 1
    1136       10386 :          IF (do_force_b) lb_max_d = lb_max + 1
    1137       10386 :          IF (do_force_c) lc_max_d = lc_max + 1
    1138             :       END IF
    1139             : 
    1140       95688 :       ncoa = npgfa*ncoset(la_max)
    1141       95688 :       ncob = npgfb*ncoset(lb_max)
    1142       95688 :       ncoc = npgfc*ncoset(lc_max)
    1143             : 
    1144       95688 :       ncoa_d = npgfa*ncoset(la_max_d)
    1145       95688 :       ncob_d = npgfb*ncoset(lb_max_d)
    1146       95688 :       ncoc_d = npgfc*ncoset(lc_max_d)
    1147             : 
    1148      478440 :       ALLOCATE (habc_uncontr_d(ncoset(la_max_d), ncoset(lb_max_d), ncoset(lc_max_d)))
    1149    18774936 :       habc_uncontr_d(:, :, :) = 0.0_dp
    1150    16808412 :       ALLOCATE (habc_uncontr(ncoa, ncob, ncoc)); habc_uncontr(:, :, :) = 0.0_dp
    1151       95688 :       IF (PRESENT(hdabc)) THEN
    1152           0 :          ALLOCATE (hdabc_uncontr(3, ncoa, ncob, ncoc)); hdabc_uncontr(:, :, :, :) = 0.0_dp
    1153             :       END IF
    1154       95688 :       IF (PRESENT(hadbc)) THEN
    1155           0 :          ALLOCATE (hadbc_uncontr(3, ncoa, ncob, ncoc)); hadbc_uncontr(:, :, :, :) = 0.0_dp
    1156             :       END IF
    1157       95688 :       IF (PRESENT(habdc)) THEN
    1158           0 :          ALLOCATE (habdc_uncontr(3, ncoa, ncob, ncoc)); habdc_uncontr(:, :, :, :) = 0.0_dp
    1159             :       END IF
    1160             : 
    1161       95688 :       habc_a_start = offset_habc_a + 1; habc_a_end = offset_habc_a + n_habc_a
    1162       95688 :       habc_b_start = offset_habc_b + 1; habc_b_end = offset_habc_b + n_habc_b
    1163       95688 :       habc_c_start = offset_habc_c + 1; habc_c_end = offset_habc_c + n_habc_c
    1164       95688 :       set_a_start = offset_set_a + 1; set_a_end = offset_set_a + n_habc_a
    1165       95688 :       set_b_start = offset_set_b + 1; set_b_end = offset_set_b + n_habc_b
    1166       95688 :       set_c_start = offset_set_c + 1; set_c_end = offset_set_c + n_habc_c
    1167             : 
    1168       95688 :       IF (eri_method == do_eri_mme) THEN
    1169       36342 :          CALL eri_mme_set_potential(param, convert_potential_type(potential_parameter%potential_type), potential_parameter%omega)
    1170             : 
    1171       36342 :          IF (calculate_forces .AND. PRESENT(pabc)) THEN
    1172             :             ! uncontracted hermite-gaussian representation of density matrix
    1173       10386 :             sphi_a_start = sgfa - 1 + set_a_start
    1174       10386 :             sphi_b_start = sgfb - 1 + set_b_start
    1175       10386 :             sphi_c_start = sgfc - 1 + set_c_start
    1176             : 
    1177       51930 :             ALLOCATE (pabc_sss(n_habc_a, n_habc_b, n_habc_c))
    1178      342953 :             pabc_sss(:, :, :) = pabc(habc_a_start:habc_a_end, habc_b_start:habc_b_end, habc_c_start:habc_c_end)
    1179       51930 :             ALLOCATE (pabc_hss(ncoa, n_habc_b, n_habc_c))
    1180       51930 :             ALLOCATE (pabc_hsh(ncoa, n_habc_b, ncoc))
    1181       41544 :             ALLOCATE (pabc_hhh(ncoa, ncob, ncoc))
    1182       41544 :             ALLOCATE (pab_hs(ncoa, n_habc_b))
    1183       41544 :             ALLOCATE (pab_hh(ncoa, ncob))
    1184             : 
    1185             :             CALL dgemm("N", "N", ncoa, n_habc_b*n_habc_c, n_habc_a, 1.0_dp, &
    1186       10386 :                        sphi_a(:, sphi_a_start), SIZE(sphi_a, 1), pabc_sss, n_habc_a, 0.0_dp, pabc_hss, ncoa)
    1187             :             CALL dgemm("N", "T", ncoa*n_habc_b, ncoc, n_habc_c, 1.0_dp, &
    1188       10386 :                        pabc_hss, ncoa*n_habc_b, sphi_c(:, sphi_c_start), SIZE(sphi_c, 1), 0.0_dp, pabc_hsh, ncoa*n_habc_b)
    1189             : 
    1190       68148 :             DO icoc = 1, ncoc
    1191     1108764 :                pab_hs(:, :) = pabc_hsh(:, :, icoc)
    1192             :                CALL dgemm("N", "T", ncoa, ncob, n_habc_b, 1.0_dp, &
    1193       57762 :                           pab_hs, ncoa, sphi_b(:, sphi_b_start), SIZE(sphi_b, 1), 0.0_dp, pab_hh, ncoa)
    1194     2262300 :                pabc_hhh(:, :, icoc) = pab_hh(:, :)
    1195             :             END DO
    1196             :          END IF
    1197             : 
    1198      105732 :          DO ipgf = 1, npgfa
    1199       69390 :             na = (ipgf - 1)*ncoset(la_max)
    1200      254142 :             DO jpgf = 1, npgfb
    1201      148410 :                nb = (jpgf - 1)*ncoset(lb_max)
    1202      366210 :                DO kpgf = 1, npgfc
    1203      148410 :                   nc = (kpgf - 1)*ncoset(lc_max)
    1204    37248210 :                   habc_uncontr_d(:, :, :) = 0.0_dp
    1205             :                   CALL eri_mme_3c_integrate(param, &
    1206             :                                             la_min, la_max_d, lb_min, lb_max_d, lc_min, lc_max_d, &
    1207             :                                             zeta(ipgf), zetb(jpgf), zetc(kpgf), ra, rb, rc, habc_uncontr_d, 0, 0, 0, &
    1208      148410 :                                             GG_count, GR_count, RR_count)
    1209             : 
    1210             :                   habc_uncontr(na + 1:na + ncoset(la_max), nb + 1:nb + ncoset(lb_max), nc + 1:nc + ncoset(lc_max)) = &
    1211     8154180 :                      habc_uncontr_d(:ncoset(la_max), :ncoset(lb_max), :ncoset(lc_max))
    1212             : 
    1213      296820 :                   IF (calculate_forces) THEN
    1214       82500 :                      DO lc = lc_min, lc_max
    1215      164700 :                      DO cx = 0, lc
    1216      266850 :                      DO cy = 0, lc - cx
    1217      143400 :                         cz = lc - cx - cy
    1218      143400 :                         kco = coset(cx, cy, cz)
    1219      143400 :                         kcox = coset(cx + 1, cy, cz)
    1220      143400 :                         kcoy = coset(cx, cy + 1, cz)
    1221      143400 :                         kcoz = coset(cx, cy, cz + 1)
    1222      414600 :                         DO lb = lb_min, lb_max
    1223      592800 :                         DO bx = 0, lb
    1224      788400 :                         DO by = 0, lb - bx
    1225      339000 :                            bz = lb - bx - by
    1226      339000 :                            jco = coset(bx, by, bz)
    1227      339000 :                            jcox = coset(bx + 1, by, bz)
    1228      339000 :                            jcoy = coset(bx, by + 1, bz)
    1229      339000 :                            jcoz = coset(bx, by, bz + 1)
    1230     1075620 :                            DO la = la_min, la_max
    1231     1500105 :                            DO ax = 0, la
    1232     2078460 :                            DO ay = 0, la - ax
    1233      917355 :                               az = la - ax - ay
    1234     3669420 :                               la_xyz = [ax, ay, az]
    1235     3669420 :                               lb_xyz = [bx, by, bz]
    1236      917355 :                               ico = coset(ax, ay, az)
    1237      917355 :                               icox = coset(ax + 1, ay, az)
    1238      917355 :                               icoy = coset(ax, ay + 1, az)
    1239      917355 :                               icoz = coset(ax, ay, az + 1)
    1240             : 
    1241      917355 :                               w = 1.0_dp
    1242      917355 :                               IF (do_symmetric .AND. .NOT. on_diagonal) w = 2.0_dp
    1243             : 
    1244      917355 :                               IF (PRESENT(force_a)) THEN
    1245             :                                  force_a = force_a + 2.0_dp*w*zeta(ipgf)* &
    1246             :                                            [pabc_hhh(na + ico, nb + jco, nc + kco)*habc_uncontr_d(icox, jco, kco), &
    1247             :                                             pabc_hhh(na + ico, nb + jco, nc + kco)*habc_uncontr_d(icoy, jco, kco), &
    1248     3669420 :                                             pabc_hhh(na + ico, nb + jco, nc + kco)*habc_uncontr_d(icoz, jco, kco)]
    1249             : 
    1250             :                               END IF
    1251      917355 :                               IF (PRESENT(force_b)) THEN
    1252             :                                  force_b = force_b + 2.0_dp*w*zetb(jpgf)* &
    1253             :                                            [pabc_hhh(na + ico, nb + jco, nc + kco)*habc_uncontr_d(ico, jcox, kco), &
    1254             :                                             pabc_hhh(na + ico, nb + jco, nc + kco)*habc_uncontr_d(ico, jcoy, kco), &
    1255     3669420 :                                             pabc_hhh(na + ico, nb + jco, nc + kco)*habc_uncontr_d(ico, jcoz, kco)]
    1256             :                               END IF
    1257      917355 :                               IF (PRESENT(force_c)) THEN
    1258             :                                  force_c = force_c + 2.0_dp*w*zetc(kpgf)* &
    1259             :                                            [pabc_hhh(na + ico, nb + jco, nc + kco)*habc_uncontr_d(ico, jco, kcox), &
    1260             :                                             pabc_hhh(na + ico, nb + jco, nc + kco)*habc_uncontr_d(ico, jco, kcoy), &
    1261     3669420 :                                             pabc_hhh(na + ico, nb + jco, nc + kco)*habc_uncontr_d(ico, jco, kcoz)]
    1262             :                               END IF
    1263             : 
    1264      917355 :                               IF (PRESENT(hdabc)) THEN
    1265             :                                  hdabc_uncontr(1:3, na + ico, nb + jco, nc + kco) = 2.0_dp*zeta(ipgf)* &
    1266             :                                                                                     [habc_uncontr_d(icox, jco, kco), &
    1267             :                                                                                      habc_uncontr_d(icoy, jco, kco), &
    1268           0 :                                                                                      habc_uncontr_d(icoz, jco, kco)]
    1269             :                               END IF
    1270      917355 :                               IF (PRESENT(hadbc)) THEN
    1271             :                                  hadbc_uncontr(1:3, na + ico, nb + jco, nc + kco) = 2.0_dp*zetb(jpgf)* &
    1272             :                                                                                     [habc_uncontr_d(ico, jcox, kco), &
    1273             :                                                                                      habc_uncontr_d(ico, jcoy, kco), &
    1274           0 :                                                                                      habc_uncontr_d(ico, jcoz, kco)]
    1275             :                               END IF
    1276     1602240 :                               IF (PRESENT(habdc)) THEN
    1277             :                                  habdc_uncontr(1:3, na + ico, nb + jco, nc + kco) = 2.0_dp*zetc(kpgf)* &
    1278             :                                                                                     [habc_uncontr_d(ico, jco, kcox), &
    1279             :                                                                                      habc_uncontr_d(ico, jco, kcoy), &
    1280           0 :                                                                                      habc_uncontr_d(ico, jco, kcoz)]
    1281             :                               END IF
    1282             :                            END DO
    1283             :                            END DO
    1284             :                            END DO
    1285             :                         END DO
    1286             :                         END DO
    1287             :                         END DO
    1288             :                      END DO
    1289             :                      END DO
    1290             :                      END DO
    1291             :                   END IF
    1292             : 
    1293             :                END DO
    1294             :             END DO
    1295             :          END DO
    1296             : 
    1297       59346 :       ELSE IF (eri_method == do_eri_os) THEN
    1298             : 
    1299       59346 :          IF (calculate_forces) CPABORT("NYI")
    1300             : 
    1301      178038 :          ALLOCATE (f_work(0:la_max + lb_max + lc_max + 2))
    1302      377424 :          f_work(:) = 0.0_dp
    1303      356076 :          ALLOCATE (v_work(ncoa, ncob, ncoc, la_max + lb_max + lc_max + 1))
    1304    51031512 :          v_work(:, :, :, :) = 0.0_dp
    1305             :          ! no screening
    1306      178038 :          ALLOCATE (rpgfa(npgfa))
    1307      178038 :          ALLOCATE (rpgfb(npgfb))
    1308      178038 :          ALLOCATE (rpgfc(npgfc))
    1309      156996 :          rpgfa(:) = 1.0E10_dp
    1310      156996 :          rpgfb(:) = 1.0E10_dp
    1311      118692 :          rpgfc(:) = 1.0E10_dp
    1312      178038 :          ALLOCATE (gccc(ncoc))
    1313      391824 :          gccc(:) = 0.0_dp
    1314      237384 :          ALLOCATE (vabc(ncoa, ncob))
    1315     1759410 :          vabc(:, :) = 0.0_dp
    1316       59346 :          rab2 = (rb(1) - ra(1))**2 + (rb(2) - ra(2))**2 + (rb(3) - ra(3))**2
    1317       59346 :          rac2 = (rc(1) - ra(1))**2 + (rc(2) - ra(2))**2 + (rc(3) - ra(3))**2
    1318       59346 :          rbc2 = (rc(1) - rb(1))**2 + (rc(2) - rb(2))**2 + (rc(3) - rb(3))**2
    1319             : 
    1320             :          ! in the RI basis, there is only a single primitive Gaussian
    1321       59346 :          kpgf = 1
    1322             : 
    1323       59346 :          IF (lc_max == 0) THEN
    1324             :             nc_start = 1
    1325             :          ELSE
    1326       35640 :             nc_start = ncoset(lc_max - 1) + 1
    1327             :          END IF
    1328       59346 :          nc_end = ncoset(lc_max)
    1329             : 
    1330             :          CALL coulomb3(la_max, npgfa, zeta(:), rpgfa(:), la_min, &
    1331             :                        lb_max, npgfb, zetb(:), rpgfb(:), lb_min, &
    1332             :                        lc_max, zetc(kpgf), rpgfc(kpgf), lc_min, &
    1333             :                        gccc, rb - ra, rab2, rc - ra, rac2, rbc2, &
    1334      474768 :                        vabc, habc_uncontr(:, :, nc_start:nc_end), v_work, f_work)
    1335             : 
    1336       59346 :          DEALLOCATE (v_work, f_work, rpgfa, rpgfb, rpgfc, gccc, vabc)
    1337             : 
    1338           0 :       ELSE IF (eri_method == do_eri_gpw) THEN
    1339             : 
    1340           0 :          CPABORT("GPW not enabled in the ERI interface.")
    1341             : 
    1342             :       END IF
    1343             : 
    1344      478440 :       ALLOCATE (habc_contr(nsgfa, nsgfb, nsgfc))
    1345       95688 :       IF (PRESENT(hdabc)) THEN
    1346           0 :          ALLOCATE (hdabc_contr(3, nsgfa, nsgfb, nsgfc))
    1347             :       END IF
    1348       95688 :       IF (PRESENT(hadbc)) THEN
    1349           0 :          ALLOCATE (hadbc_contr(3, nsgfa, nsgfb, nsgfc))
    1350             :       END IF
    1351       95688 :       IF (PRESENT(habdc)) THEN
    1352           0 :          ALLOCATE (habdc_contr(3, nsgfa, nsgfb, nsgfc))
    1353             :       END IF
    1354             : 
    1355             :       CALL abc_contract(habc_contr, habc_uncontr, &
    1356             :                         sphi_a(:, sgfa:), sphi_b(:, sgfb:), sphi_c(:, sgfc:), &
    1357       95688 :                         ncoa, ncob, ncoc, nsgfa, nsgfb, nsgfc)
    1358             : 
    1359       95688 :       IF (calculate_forces) THEN
    1360       41544 :          DO i_xyz = 1, 3
    1361       31158 :             IF (PRESENT(hdabc)) THEN
    1362             :                CALL abc_contract(hdabc_contr(i_xyz, :, :, :), hdabc_uncontr(i_xyz, :, :, :), &
    1363             :                                  sphi_a(:, sgfa:), sphi_b(:, sgfb:), sphi_c(:, sgfc:), &
    1364           0 :                                  ncoa, ncob, ncoc, nsgfa, nsgfb, nsgfc)
    1365             :             END IF
    1366       31158 :             IF (PRESENT(hadbc)) THEN
    1367             :                CALL abc_contract(hadbc_contr(i_xyz, :, :, :), hadbc_uncontr(i_xyz, :, :, :), &
    1368             :                                  sphi_a(:, sgfa:), sphi_b(:, sgfb:), sphi_c(:, sgfc:), &
    1369           0 :                                  ncoa, ncob, ncoc, nsgfa, nsgfb, nsgfc)
    1370             :             END IF
    1371       41544 :             IF (PRESENT(habdc)) THEN
    1372             :                CALL abc_contract(habdc_contr(i_xyz, :, :, :), habdc_uncontr(i_xyz, :, :, :), &
    1373             :                                  sphi_a(:, sgfa:), sphi_b(:, sgfb:), sphi_c(:, sgfc:), &
    1374           0 :                                  ncoa, ncob, ncoc, nsgfa, nsgfb, nsgfc)
    1375             :             END IF
    1376             :          END DO
    1377             :       END IF
    1378             : 
    1379             :       habc(habc_a_start:habc_a_end, habc_b_start:habc_b_end, habc_c_start:habc_c_end) = &
    1380     2834826 :          habc_contr(set_a_start:set_a_end, set_b_start:set_b_end, set_c_start:set_c_end)
    1381             : 
    1382       95688 :       IF (calculate_forces) THEN
    1383       10386 :          IF (PRESENT(hdabc)) hdabc(:, habc_a_start:habc_a_end, habc_b_start:habc_b_end, habc_c_start:habc_c_end) = &
    1384           0 :             hdabc_contr(:, set_a_start:set_a_end, set_b_start:set_b_end, set_c_start:set_c_end)
    1385       10386 :          IF (PRESENT(hadbc)) hadbc(:, habc_a_start:habc_a_end, habc_b_start:habc_b_end, habc_c_start:habc_c_end) = &
    1386           0 :             hadbc_contr(:, set_a_start:set_a_end, set_b_start:set_b_end, set_c_start:set_c_end)
    1387       10386 :          IF (PRESENT(habdc)) habdc(:, habc_a_start:habc_a_end, habc_b_start:habc_b_end, habc_c_start:habc_c_end) = &
    1388           0 :             habdc_contr(:, set_a_start:set_a_end, set_b_start:set_b_end, set_c_start:set_c_end)
    1389             :       END IF
    1390             : 
    1391       95688 :       CALL timestop(handle)
    1392             : 
    1393      191376 :    END SUBROUTINE integrate_set_3c
    1394             : 
    1395             : ! **************************************************************************************************
    1396             : !> \brief get pointer to atom, pointer to set and offset in a set for each spherical orbital of a
    1397             : !>        basis.
    1398             : !> \param qs_env ...
    1399             : !> \param basis_type ...
    1400             : !> \param eri_offsets (:,1) atom numbers
    1401             : !>                    (:,2) set numbers
    1402             : !>                    (:,3) set offsets
    1403             : ! **************************************************************************************************
    1404         538 :    SUBROUTINE get_eri_offsets(qs_env, basis_type, eri_offsets)
    1405             :       TYPE(qs_environment_type), INTENT(IN), POINTER     :: qs_env
    1406             :       CHARACTER(len=*), INTENT(IN), OPTIONAL             :: basis_type
    1407             :       INTEGER, ALLOCATABLE, DIMENSION(:, :), INTENT(OUT) :: eri_offsets
    1408             : 
    1409             :       INTEGER                                            :: dimen_basis, iatom, ikind, iset, isgf, &
    1410             :                                                             natom, nkind, nset, nsgf, offset, &
    1411             :                                                             set_offset
    1412         538 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: kind_of
    1413         538 :       INTEGER, DIMENSION(:), POINTER                     :: nsgf_set
    1414         538 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
    1415             :       TYPE(gto_basis_set_type), POINTER                  :: basis_set
    1416         538 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
    1417         538 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
    1418             : 
    1419             :       CALL get_qs_env(qs_env, atomic_kind_set=atomic_kind_set, qs_kind_set=qs_kind_set, &
    1420         538 :                       particle_set=particle_set, natom=natom, nkind=nkind)
    1421             : 
    1422         538 :       CALL get_atomic_kind_set(atomic_kind_set, kind_of=kind_of)
    1423             : 
    1424         538 :       dimen_basis = 0
    1425        2018 :       DO iatom = 1, natom
    1426        1480 :          ikind = kind_of(iatom)
    1427        1480 :          CALL get_qs_kind(qs_kind=qs_kind_set(ikind), nsgf=nsgf, basis_type=basis_type)
    1428        2018 :          dimen_basis = dimen_basis + nsgf
    1429             :       END DO
    1430             : 
    1431        1614 :       ALLOCATE (eri_offsets(dimen_basis, 3))
    1432             : 
    1433         538 :       offset = 0
    1434        2018 :       DO iatom = 1, natom
    1435        1480 :          ikind = kind_of(iatom)
    1436        1480 :          CALL get_qs_kind(qs_kind=qs_kind_set(ikind), basis_set=basis_set, basis_type=basis_type)
    1437        1480 :          nset = basis_set%nset
    1438        1480 :          nsgf_set => basis_set%nsgf_set
    1439       15312 :          DO iset = 1, nset
    1440       13294 :             set_offset = 0
    1441       50476 :             DO isgf = 1, nsgf_set(iset)
    1442       37182 :                set_offset = set_offset + 1
    1443      162022 :                eri_offsets(offset + set_offset, :) = [iatom, iset, set_offset]
    1444             :             END DO
    1445       14774 :             offset = offset + nsgf_set(iset)
    1446             :          END DO
    1447             :       END DO
    1448        1076 :    END SUBROUTINE get_eri_offsets
    1449             : 
    1450             : ! **************************************************************************************************
    1451             : !> \brief ...
    1452             : !> \param force ...
    1453             : !> \param natom_of_kind ...
    1454             : ! **************************************************************************************************
    1455         104 :    PURE SUBROUTINE mp2_eri_allocate_forces(force, natom_of_kind)
    1456             :       TYPE(mp2_eri_force), ALLOCATABLE, &
    1457             :          DIMENSION(:), INTENT(OUT)                       :: force
    1458             :       INTEGER, DIMENSION(:), INTENT(IN)                  :: natom_of_kind
    1459             : 
    1460             :       INTEGER                                            :: ikind, n, nkind
    1461             : 
    1462         104 :       nkind = SIZE(natom_of_kind)
    1463             : 
    1464         496 :       ALLOCATE (force(nkind))
    1465             : 
    1466         288 :       DO ikind = 1, nkind
    1467         184 :          n = natom_of_kind(ikind)
    1468         552 :          ALLOCATE (force(ikind)%forces(3, n))
    1469        1440 :          force(ikind)%forces(:, :) = 0.0_dp
    1470             :       END DO
    1471         104 :    END SUBROUTINE mp2_eri_allocate_forces
    1472             : 
    1473             : ! **************************************************************************************************
    1474             : !> \brief ...
    1475             : !> \param force ...
    1476             : ! **************************************************************************************************
    1477         104 :    PURE SUBROUTINE mp2_eri_deallocate_forces(force)
    1478             :       TYPE(mp2_eri_force), ALLOCATABLE, &
    1479             :          DIMENSION(:), INTENT(INOUT)                     :: force
    1480             : 
    1481             :       INTEGER                                            :: ikind, nkind
    1482             : 
    1483         104 :       IF (ALLOCATED(force)) THEN
    1484         104 :          nkind = SIZE(force)
    1485         288 :          DO ikind = 1, nkind
    1486         288 :             IF (ALLOCATED(force(ikind)%forces)) DEALLOCATE (force(ikind)%forces)
    1487             :          END DO
    1488             : 
    1489         288 :          DEALLOCATE (force)
    1490             :       END IF
    1491         104 :    END SUBROUTINE mp2_eri_deallocate_forces
    1492             : 
    1493       85324 :    FUNCTION convert_potential_type(potential_type) RESULT(res)
    1494             :       INTEGER, INTENT(IN)                                :: potential_type
    1495             :       INTEGER                                            :: res
    1496             : 
    1497       85324 :       IF (potential_type == do_potential_coulomb) THEN
    1498             :          res = eri_mme_coulomb
    1499       12541 :       ELSE IF (potential_type == do_potential_long) THEN
    1500             :          res = eri_mme_longrange
    1501             :       ELSE
    1502           0 :          CPABORT("MME potential not implemented!")
    1503             :       END IF
    1504             : 
    1505       85324 :    END FUNCTION convert_potential_type
    1506             : 
    1507           0 : END MODULE mp2_eri

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