LCOV - code coverage report
Current view: top level - src - mp2_eri_gpw.F (source / functions) Hit Total Coverage
Test: CP2K Regtests (git:4dc10b3) Lines: 318 326 97.5 %
Date: 2024-11-21 06:45:46 Functions: 11 11 100.0 %

          Line data    Source code
       1             : !--------------------------------------------------------------------------------------------------!
       2             : !   CP2K: A general program to perform molecular dynamics simulations                              !
       3             : !   Copyright 2000-2024 CP2K developers group <https://cp2k.org>                                   !
       4             : !                                                                                                  !
       5             : !   SPDX-License-Identifier: GPL-2.0-or-later                                                      !
       6             : !--------------------------------------------------------------------------------------------------!
       7             : 
       8             : ! **************************************************************************************************
       9             : !> \brief Routines to calculate 2c- and 3c-integrals for RI with GPW
      10             : !> \par History
      11             : !>      07.2019 separated from mp2_integrals.F [Frederick Stein]
      12             : ! **************************************************************************************************
      13             : MODULE mp2_eri_gpw
      14             :    USE ao_util,                         ONLY: exp_radius_very_extended
      15             :    USE atomic_kind_types,               ONLY: atomic_kind_type
      16             :    USE basis_set_types,                 ONLY: gto_basis_set_type
      17             :    USE cell_types,                      ONLY: cell_type,&
      18             :                                               pbc
      19             :    USE cp_control_types,                ONLY: dft_control_type
      20             :    USE cp_dbcsr_api,                    ONLY: dbcsr_p_type,&
      21             :                                               dbcsr_set
      22             :    USE gaussian_gridlevels,             ONLY: gaussian_gridlevel
      23             :    USE input_constants,                 ONLY: do_potential_coulomb,&
      24             :                                               do_potential_id,&
      25             :                                               do_potential_long,&
      26             :                                               do_potential_mix_cl,&
      27             :                                               do_potential_short,&
      28             :                                               do_potential_truncated
      29             :    USE kinds,                           ONLY: dp
      30             :    USE libint_2c_3c,                    ONLY: libint_potential_type
      31             :    USE mathconstants,                   ONLY: fourpi
      32             :    USE message_passing,                 ONLY: mp_para_env_type
      33             :    USE orbital_pointers,                ONLY: ncoset
      34             :    USE particle_types,                  ONLY: particle_type
      35             :    USE pw_env_methods,                  ONLY: pw_env_create,&
      36             :                                               pw_env_rebuild
      37             :    USE pw_env_types,                    ONLY: pw_env_get,&
      38             :                                               pw_env_release,&
      39             :                                               pw_env_type
      40             :    USE pw_methods,                      ONLY: &
      41             :         pw_compl_gauss_damp, pw_copy, pw_derive, pw_gauss_damp, pw_gauss_damp_mix, pw_integral_ab, &
      42             :         pw_log_deriv_compl_gauss, pw_log_deriv_gauss, pw_log_deriv_mix_cl, pw_log_deriv_trunc, &
      43             :         pw_scale, pw_transfer, pw_truncated, pw_zero
      44             :    USE pw_poisson_methods,              ONLY: pw_poisson_solve
      45             :    USE pw_poisson_types,                ONLY: pw_poisson_type
      46             :    USE pw_pool_types,                   ONLY: pw_pool_type
      47             :    USE pw_types,                        ONLY: pw_c1d_gs_type,&
      48             :                                               pw_r3d_rs_type
      49             :    USE qs_collocate_density,            ONLY: calculate_rho_elec,&
      50             :                                               collocate_function,&
      51             :                                               collocate_single_gaussian
      52             :    USE qs_environment_types,            ONLY: get_qs_env,&
      53             :                                               qs_environment_type
      54             :    USE qs_force_types,                  ONLY: qs_force_type
      55             :    USE qs_integrate_potential,          ONLY: integrate_pgf_product,&
      56             :                                               integrate_v_rspace
      57             :    USE qs_kind_types,                   ONLY: get_qs_kind,&
      58             :                                               get_qs_kind_set,&
      59             :                                               qs_kind_type
      60             :    USE qs_ks_types,                     ONLY: qs_ks_env_type
      61             :    USE qs_neighbor_list_types,          ONLY: neighbor_list_set_p_type
      62             :    USE realspace_grid_types,            ONLY: map_gaussian_here,&
      63             :                                               realspace_grid_desc_p_type,&
      64             :                                               realspace_grid_type
      65             :    USE rs_pw_interface,                 ONLY: potential_pw2rs
      66             :    USE task_list_methods,               ONLY: generate_qs_task_list
      67             :    USE task_list_types,                 ONLY: allocate_task_list,&
      68             :                                               deallocate_task_list,&
      69             :                                               task_list_type
      70             : 
      71             : !$ USE OMP_LIB, ONLY: omp_get_max_threads, omp_get_thread_num
      72             : #include "./base/base_uses.f90"
      73             : 
      74             :    IMPLICIT NONE
      75             : 
      76             :    PRIVATE
      77             : 
      78             :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'mp2_eri_gpw'
      79             : 
      80             :    PUBLIC :: mp2_eri_2c_integrate_gpw, mp2_eri_3c_integrate_gpw, calc_potential_gpw, cleanup_gpw, prepare_gpw, &
      81             :              integrate_potential_forces_2c, integrate_potential_forces_3c_1c, integrate_potential_forces_3c_2c, &
      82             :              virial_gpw_potential
      83             : 
      84             : CONTAINS
      85             : 
      86             : ! **************************************************************************************************
      87             : !> \brief ...
      88             : !> \param psi_L ...
      89             : !> \param rho_g ...
      90             : !> \param atomic_kind_set ...
      91             : !> \param qs_kind_set ...
      92             : !> \param cell ...
      93             : !> \param dft_control ...
      94             : !> \param particle_set ...
      95             : !> \param pw_env_sub ...
      96             : !> \param external_vector ...
      97             : !> \param poisson_env ...
      98             : !> \param rho_r ...
      99             : !> \param pot_g ...
     100             : !> \param potential_parameter ...
     101             : !> \param mat_munu ...
     102             : !> \param qs_env ...
     103             : !> \param task_list_sub ...
     104             : ! **************************************************************************************************
     105       28798 :    SUBROUTINE mp2_eri_3c_integrate_gpw(psi_L, rho_g, atomic_kind_set, qs_kind_set, &
     106             :                                        cell, dft_control, particle_set, &
     107       14399 :                                        pw_env_sub, external_vector, poisson_env, rho_r, pot_g, &
     108             :                                        potential_parameter, mat_munu, qs_env, task_list_sub)
     109             : 
     110             :       TYPE(pw_r3d_rs_type), INTENT(INOUT)                :: psi_L
     111             :       TYPE(pw_c1d_gs_type), INTENT(INOUT)                :: rho_g
     112             :       TYPE(atomic_kind_type), DIMENSION(:), INTENT(IN), &
     113             :          POINTER                                         :: atomic_kind_set
     114             :       TYPE(qs_kind_type), DIMENSION(:), INTENT(IN), &
     115             :          POINTER                                         :: qs_kind_set
     116             :       TYPE(cell_type), INTENT(IN), POINTER               :: cell
     117             :       TYPE(dft_control_type), INTENT(IN), POINTER        :: dft_control
     118             :       TYPE(particle_type), DIMENSION(:), INTENT(IN), &
     119             :          POINTER                                         :: particle_set
     120             :       TYPE(pw_env_type), INTENT(IN), POINTER             :: pw_env_sub
     121             :       REAL(KIND=dp), DIMENSION(:), INTENT(IN)            :: external_vector
     122             :       TYPE(pw_poisson_type), INTENT(IN), POINTER         :: poisson_env
     123             :       TYPE(pw_r3d_rs_type), INTENT(INOUT)                :: rho_r
     124             :       TYPE(pw_c1d_gs_type), INTENT(INOUT)                :: pot_g
     125             :       TYPE(libint_potential_type), INTENT(IN)            :: potential_parameter
     126             :       TYPE(dbcsr_p_type), INTENT(INOUT)                  :: mat_munu
     127             :       TYPE(qs_environment_type), INTENT(IN), POINTER     :: qs_env
     128             :       TYPE(task_list_type), INTENT(IN), POINTER          :: task_list_sub
     129             : 
     130             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'mp2_eri_3c_integrate_gpw'
     131             : 
     132             :       INTEGER                                            :: handle
     133             : 
     134       14399 :       CALL timeset(routineN, handle)
     135             : 
     136             :       ! pseudo psi_L
     137             :       CALL collocate_function(external_vector, psi_L, rho_g, atomic_kind_set, &
     138             :                               qs_kind_set, cell, particle_set, pw_env_sub, &
     139       14399 :                               dft_control%qs_control%eps_rho_rspace, basis_type="RI_AUX")
     140             : 
     141       14399 :       CALL calc_potential_gpw(rho_r, rho_g, poisson_env, pot_g, potential_parameter)
     142             : 
     143             :       ! and finally (K|mu nu)
     144       14399 :       CALL dbcsr_set(mat_munu%matrix, 0.0_dp)
     145             :       CALL integrate_v_rspace(rho_r, hmat=mat_munu, qs_env=qs_env, &
     146             :                               calculate_forces=.FALSE., compute_tau=.FALSE., gapw=.FALSE., &
     147       14399 :                               pw_env_external=pw_env_sub, task_list_external=task_list_sub)
     148             : 
     149       14399 :       CALL timestop(handle)
     150             : 
     151       14399 :    END SUBROUTINE mp2_eri_3c_integrate_gpw
     152             : 
     153             : ! **************************************************************************************************
     154             : !> \brief Integrates the potential of an RI function
     155             : !> \param qs_env ...
     156             : !> \param para_env_sub ...
     157             : !> \param my_group_L_start ...
     158             : !> \param my_group_L_end ...
     159             : !> \param natom ...
     160             : !> \param potential_parameter ...
     161             : !> \param sab_orb_sub ...
     162             : !> \param L_local_col ...
     163             : !> \param kind_of ...
     164             : ! **************************************************************************************************
     165         388 :    SUBROUTINE mp2_eri_2c_integrate_gpw(qs_env, para_env_sub, my_group_L_start, my_group_L_end, &
     166         388 :                                        natom, potential_parameter, sab_orb_sub, L_local_col, kind_of)
     167             : 
     168             :       TYPE(qs_environment_type), INTENT(IN), POINTER     :: qs_env
     169             :       TYPE(mp_para_env_type), INTENT(IN), POINTER        :: para_env_sub
     170             :       INTEGER, INTENT(IN)                                :: my_group_L_start, my_group_L_end, natom
     171             :       TYPE(libint_potential_type), INTENT(IN)            :: potential_parameter
     172             :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     173             :          INTENT(IN), POINTER                             :: sab_orb_sub
     174             :       REAL(KIND=dp), DIMENSION(:, :), INTENT(OUT)        :: L_local_col
     175             :       INTEGER, DIMENSION(:), INTENT(IN)                  :: kind_of
     176             : 
     177             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'mp2_eri_2c_integrate_gpw'
     178             : 
     179             :       INTEGER :: dir, handle, handle2, i_counter, iatom, igrid_level, ikind, ipgf, iset, lb(3), &
     180             :          LLL, location(3), max_nseta, na1, na2, ncoa, nseta, offset, sgfa, tp(3), ub(3)
     181         388 :       INTEGER, ALLOCATABLE, DIMENSION(:, :)              :: offset_2d
     182         388 :       INTEGER, DIMENSION(:), POINTER                     :: la_max, la_min, npgfa, nsgfa
     183         388 :       INTEGER, DIMENSION(:, :), POINTER                  :: first_sgfa
     184             :       LOGICAL                                            :: map_it_here, use_subpatch
     185             :       REAL(KIND=dp)                                      :: cutoff_old, radius, relative_cutoff_old
     186         388 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: e_cutoff_old
     187         388 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: I_ab
     188             :       REAL(KIND=dp), DIMENSION(3)                        :: ra
     189         388 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: set_radius_a
     190         388 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: I_tmp2, rpgfa, sphi_a, zeta
     191         388 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     192             :       TYPE(cell_type), POINTER                           :: cell
     193             :       TYPE(dft_control_type), POINTER                    :: dft_control
     194             :       TYPE(gto_basis_set_type), POINTER                  :: basis_set_a
     195         388 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     196             :       TYPE(pw_c1d_gs_type)                               :: pot_g, rho_g
     197             :       TYPE(pw_env_type), POINTER                         :: pw_env_sub
     198             :       TYPE(pw_poisson_type), POINTER                     :: poisson_env
     199             :       TYPE(pw_pool_type), POINTER                        :: auxbas_pw_pool
     200             :       TYPE(pw_r3d_rs_type)                               :: psi_L, rho_r
     201         388 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     202             :       TYPE(realspace_grid_desc_p_type), DIMENSION(:), &
     203         388 :          POINTER                                         :: rs_descs
     204         388 :       TYPE(realspace_grid_type), DIMENSION(:), POINTER   :: rs_v
     205             :       TYPE(task_list_type), POINTER                      :: task_list_sub
     206             : 
     207         388 :       CALL timeset(routineN, handle)
     208             : 
     209             :       CALL prepare_gpw(qs_env, dft_control, e_cutoff_old, cutoff_old, relative_cutoff_old, para_env_sub, pw_env_sub, &
     210         388 :                        auxbas_pw_pool, poisson_env, task_list_sub, rho_r, rho_g, pot_g, psi_L, sab_orb_sub)
     211             : 
     212         388 :       CALL get_qs_env(qs_env, cell=cell, qs_kind_set=qs_kind_set, atomic_kind_set=atomic_kind_set, particle_set=particle_set)
     213             : 
     214     1439732 :       L_local_col = 0.0_dp
     215             : 
     216         388 :       i_counter = 0
     217       17297 :       DO LLL = my_group_L_start, my_group_L_end
     218       16909 :          i_counter = i_counter + 1
     219             : 
     220             :          ! pseudo psi_L
     221             :          CALL collocate_single_gaussian(psi_L, rho_g, atomic_kind_set, &
     222             :                                         qs_kind_set, cell, dft_control, particle_set, pw_env_sub, &
     223       16909 :                                         required_function=LLL, basis_type="RI_AUX")
     224             : 
     225       16909 :          CALL timeset(routineN//"_pot_lm", handle2)
     226             : 
     227       16909 :          CALL calc_potential_gpw(rho_r, rho_g, poisson_env, pot_g, potential_parameter)
     228             : 
     229       16909 :          NULLIFY (rs_v)
     230       16909 :          NULLIFY (rs_descs)
     231       16909 :          CALL pw_env_get(pw_env_sub, rs_descs=rs_descs, rs_grids=rs_v)
     232       16909 :          CALL potential_pw2rs(rs_v, rho_r, pw_env_sub)
     233             : 
     234       16909 :          CALL timestop(handle2)
     235             : 
     236       16909 :          offset = 0
     237             :          ! Prepare offset ahead of OMP parallel loop
     238       16909 :          CALL get_qs_kind_set(qs_kind_set=qs_kind_set, maxnset=max_nseta, basis_type="RI_AUX")
     239       67636 :          ALLOCATE (offset_2d(max_nseta, natom))
     240             : 
     241       69600 :          DO iatom = 1, natom
     242       52691 :             ikind = kind_of(iatom)
     243       52691 :             CALL get_qs_kind(qs_kind=qs_kind_set(ikind), basis_set=basis_set_a, basis_type="RI_AUX")
     244       52691 :             nseta = basis_set_a%nset
     245       52691 :             nsgfa => basis_set_a%nsgf_set
     246      565355 :             DO iset = 1, nseta
     247      495755 :                offset = offset + nsgfa(iset)
     248      548446 :                offset_2d(iset, iatom) = offset
     249             :             END DO
     250             :          END DO
     251             : 
     252             :          ! integrate the little bastards
     253             :          !$OMP PARALLEL DO DEFAULT(NONE) &
     254             :          !$OMP SHARED(natom, particle_set, cell, pw_env_sub, rs_v, offset_2d, &
     255             :          !$OMP        qs_kind_set, ncoset, para_env_sub, dft_control, i_counter, &
     256             :          !$OMP        kind_of, l_local_col) &
     257             :          !$OMP PRIVATE(iatom, ikind, basis_set_a, first_sgfa, la_max, la_min, npgfa, &
     258             :          !$OMP         nseta, nsgfa, rpgfa, set_radius_a, sphi_a, zeta, &
     259             :          !$OMP         ra, iset, ncoa, I_tmp2, I_ab, igrid_level, &
     260             :          !$OMP         map_it_here, dir, tp, lb, ub, location, ipgf, &
     261       16909 :          !$OMP         sgfa, na1, na2, radius, offset, use_subpatch)
     262             :          DO iatom = 1, natom
     263             :             ikind = kind_of(iatom)
     264             :             CALL get_qs_kind(qs_kind=qs_kind_set(ikind), basis_set=basis_set_a, basis_type="RI_AUX")
     265             : 
     266             :             first_sgfa => basis_set_a%first_sgf
     267             :             la_max => basis_set_a%lmax
     268             :             la_min => basis_set_a%lmin
     269             :             npgfa => basis_set_a%npgf
     270             :             nseta = basis_set_a%nset
     271             :             nsgfa => basis_set_a%nsgf_set
     272             :             rpgfa => basis_set_a%pgf_radius
     273             :             set_radius_a => basis_set_a%set_radius
     274             :             sphi_a => basis_set_a%sphi
     275             :             zeta => basis_set_a%zet
     276             : 
     277             :             ra(:) = pbc(particle_set(iatom)%r, cell)
     278             : 
     279             :             DO iset = 1, nseta
     280             :                ncoa = npgfa(iset)*ncoset(la_max(iset))
     281             :                sgfa = first_sgfa(1, iset)
     282             : 
     283             :                ALLOCATE (I_tmp2(ncoa, 1))
     284             :                I_tmp2 = 0.0_dp
     285             :                ALLOCATE (I_ab(nsgfa(iset), 1))
     286             :                I_ab = 0.0_dp
     287             : 
     288             :                offset = offset_2d(iset, iatom)
     289             : 
     290             :                igrid_level = gaussian_gridlevel(pw_env_sub%gridlevel_info, MINVAL(zeta(:, iset)))
     291             :                use_subpatch = .NOT. ALL(rs_v(igrid_level)%desc%perd == 1)
     292             : 
     293             :                IF (map_gaussian_here(rs_v(igrid_level), cell%h_inv, ra, &
     294             :                                      offset, para_env_sub%num_pe, para_env_sub%mepos)) THEN
     295             :                   DO ipgf = 1, npgfa(iset)
     296             :                      sgfa = first_sgfa(1, iset)
     297             :                      na1 = (ipgf - 1)*ncoset(la_max(iset)) + 1
     298             :                      na2 = ipgf*ncoset(la_max(iset))
     299             :                      igrid_level = gaussian_gridlevel(pw_env_sub%gridlevel_info, zeta(ipgf, iset))
     300             : 
     301             :                      radius = exp_radius_very_extended(la_min=la_min(iset), la_max=la_max(iset), &
     302             :                                                        lb_min=0, lb_max=0, ra=ra, rb=ra, rp=ra, &
     303             :                                                        zetp=zeta(ipgf, iset), &
     304             :                                                        eps=dft_control%qs_control%eps_gvg_rspace, &
     305             :                                                        prefactor=1.0_dp, cutoff=1.0_dp)
     306             : 
     307             :                      CALL integrate_pgf_product( &
     308             :                         la_max=la_max(iset), zeta=zeta(ipgf, iset), la_min=la_min(iset), &
     309             :                         lb_max=0, zetb=0.0_dp, lb_min=0, &
     310             :                         ra=ra, rab=(/0.0_dp, 0.0_dp, 0.0_dp/), &
     311             :                         rsgrid=rs_v(igrid_level), &
     312             :                         hab=I_tmp2, &
     313             :                         o1=na1 - 1, &
     314             :                         o2=0, &
     315             :                         radius=radius, &
     316             :                         calculate_forces=.FALSE., &
     317             :                         use_subpatch=use_subpatch, &
     318             :                         subpatch_pattern=0)
     319             :                   END DO
     320             : 
     321             :                   CALL dgemm("T", "N", nsgfa(iset), 1, ncoa, &
     322             :                              1.0_dp, sphi_a(1, sgfa), SIZE(sphi_a, 1), &
     323             :                              I_tmp2(1, 1), SIZE(I_tmp2, 1), &
     324             :                              1.0_dp, I_ab(1, 1), SIZE(I_ab, 1))
     325             : 
     326             :                   L_local_col(offset - nsgfa(iset) + 1:offset, i_counter) = I_ab(1:nsgfa(iset), 1)
     327             :                END IF
     328             : 
     329             :                DEALLOCATE (I_tmp2)
     330             :                DEALLOCATE (I_ab)
     331             : 
     332             :             END DO
     333             :          END DO
     334             :          !$OMP END PARALLEL DO
     335       51115 :          DEALLOCATE (offset_2d)
     336             : 
     337             :       END DO
     338             : 
     339     2879076 :       CALL para_env_sub%sum(L_local_col)
     340             : 
     341             :       CALL cleanup_gpw(qs_env, e_cutoff_old, cutoff_old, relative_cutoff_old, para_env_sub, pw_env_sub, &
     342         388 :                        task_list_sub, auxbas_pw_pool, rho_r, rho_g, pot_g, psi_L)
     343             : 
     344         388 :       CALL timestop(handle)
     345             : 
     346         776 :    END SUBROUTINE
     347             : 
     348             : ! **************************************************************************************************
     349             : !> \brief Integrates the potential of a RI function obtaining the forces and stress tensor
     350             : !> \param rho_r ...
     351             : !> \param LLL ...
     352             : !> \param rho_g ...
     353             : !> \param atomic_kind_set ...
     354             : !> \param qs_kind_set ...
     355             : !> \param particle_set ...
     356             : !> \param cell ...
     357             : !> \param pw_env_sub ...
     358             : !> \param poisson_env ...
     359             : !> \param pot_g ...
     360             : !> \param potential_parameter ...
     361             : !> \param use_virial ...
     362             : !> \param rho_g_copy ...
     363             : !> \param dvg ...
     364             : !> \param kind_of ...
     365             : !> \param atom_of_kind ...
     366             : !> \param G_PQ_local ...
     367             : !> \param force ...
     368             : !> \param h_stress ...
     369             : !> \param para_env_sub ...
     370             : !> \param dft_control ...
     371             : !> \param psi_L ...
     372             : !> \param factor ...
     373             : ! **************************************************************************************************
     374       32916 :    SUBROUTINE integrate_potential_forces_2c(rho_r, LLL, rho_g, atomic_kind_set, &
     375             :                                             qs_kind_set, particle_set, cell, pw_env_sub, poisson_env, pot_g, &
     376             :                                             potential_parameter, use_virial, rho_g_copy, dvg, &
     377       10972 :                                             kind_of, atom_of_kind, G_PQ_local, force, h_stress, para_env_sub, &
     378             :                                             dft_control, psi_L, factor)
     379             : 
     380             :       TYPE(pw_r3d_rs_type), INTENT(INOUT)                :: rho_r
     381             :       INTEGER, INTENT(IN)                                :: LLL
     382             :       TYPE(pw_c1d_gs_type), INTENT(INOUT)                :: rho_g
     383             :       TYPE(atomic_kind_type), DIMENSION(:), INTENT(IN), &
     384             :          POINTER                                         :: atomic_kind_set
     385             :       TYPE(qs_kind_type), DIMENSION(:), INTENT(IN), &
     386             :          POINTER                                         :: qs_kind_set
     387             :       TYPE(particle_type), DIMENSION(:), INTENT(IN), &
     388             :          POINTER                                         :: particle_set
     389             :       TYPE(cell_type), INTENT(IN), POINTER               :: cell
     390             :       TYPE(pw_env_type), INTENT(IN), POINTER             :: pw_env_sub
     391             :       TYPE(pw_poisson_type), INTENT(IN), POINTER         :: poisson_env
     392             :       TYPE(pw_c1d_gs_type), INTENT(INOUT)                :: pot_g
     393             :       TYPE(libint_potential_type), INTENT(IN)            :: potential_parameter
     394             :       LOGICAL, INTENT(IN)                                :: use_virial
     395             :       TYPE(pw_c1d_gs_type), INTENT(INOUT)                :: rho_g_copy, dvg(3)
     396             :       INTEGER, DIMENSION(:), INTENT(IN)                  :: kind_of, atom_of_kind
     397             :       REAL(KIND=dp), DIMENSION(:), INTENT(IN)            :: G_PQ_local
     398             :       TYPE(qs_force_type), DIMENSION(:), INTENT(IN), &
     399             :          POINTER                                         :: force
     400             :       REAL(KIND=dp), DIMENSION(3, 3), INTENT(INOUT)      :: h_stress
     401             :       TYPE(mp_para_env_type), INTENT(IN)                 :: para_env_sub
     402             :       TYPE(dft_control_type), INTENT(IN), POINTER        :: dft_control
     403             :       TYPE(pw_r3d_rs_type), INTENT(INOUT)                :: psi_L
     404             :       REAL(KIND=dp), INTENT(IN)                          :: factor
     405             : 
     406             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'integrate_potential_forces_2c'
     407             : 
     408             :       INTEGER                                            :: handle, handle2
     409             : 
     410       10972 :       CALL timeset(routineN, handle)
     411             : 
     412             :       ! calculate potential associated to the single aux function
     413       10972 :       CALL timeset(routineN//"_wf_pot", handle2)
     414             :       ! pseudo psi_L
     415       10972 :       CALL pw_zero(rho_r)
     416       10972 :       CALL pw_zero(rho_g)
     417             :       CALL collocate_single_gaussian(rho_r, rho_g, atomic_kind_set, &
     418             :                                      qs_kind_set, cell, dft_control, particle_set, &
     419       10972 :                                      pw_env_sub, required_function=LLL, basis_type='RI_AUX')
     420       10972 :       IF (use_virial) THEN
     421        2325 :          CALL calc_potential_gpw(rho_r, rho_g, poisson_env, pot_g, potential_parameter, dvg)
     422             :       ELSE
     423        8647 :          CALL calc_potential_gpw(rho_r, rho_g, poisson_env, pot_g, potential_parameter)
     424             :       END IF
     425       10972 :       CALL timestop(handle2)
     426             : 
     427       10972 :       IF (use_virial) THEN
     428             :          ! make a copy of the density in G space
     429        2325 :          CALL pw_copy(rho_g, rho_g_copy)
     430             : 
     431             :          ! add the volume contribution to the virial due to
     432             :          ! the (P|Q) integrals, first we put the full gamme_PQ
     433             :          ! pseudo wave-function into grid in order to calculate the
     434             :          ! hartree potential derivatives
     435        2325 :          CALL pw_zero(psi_L)
     436        2325 :          CALL pw_zero(rho_g)
     437             :          CALL collocate_function(0.5_dp*factor*G_PQ_local, psi_L, rho_g, atomic_kind_set, &
     438             :                                  qs_kind_set, cell, particle_set, pw_env_sub, &
     439             :                                  dft_control%qs_control%eps_rho_rspace, &
     440      204624 :                                  basis_type="RI_AUX")
     441             :          ! transfer to reciprocal space and calculate potential
     442        2325 :          CALL calc_potential_gpw(psi_L, rho_g, poisson_env, pot_g, potential_parameter, no_transfer=.TRUE.)
     443             :          ! update virial with volume term (first calculate hartree like energy (diagonal part of the virial))
     444        2325 :          CALL virial_gpw_potential(rho_g_copy, pot_g, rho_g, dvg, h_stress, potential_parameter, para_env_sub)
     445             :       END IF
     446             : 
     447             :       ! integrate the potential of the single gaussian and update
     448             :       ! 2-center forces with Gamma_PQ
     449             :       CALL integrate_potential(pw_env_sub, rho_r, kind_of, atom_of_kind, particle_set, qs_kind_set, &
     450      943450 :                                -0.25_dp*factor*G_PQ_local, cell, force, use_virial, h_stress, para_env_sub, dft_control)
     451             : 
     452       10972 :       CALL timestop(handle)
     453       10972 :    END SUBROUTINE integrate_potential_forces_2c
     454             : 
     455             : ! **************************************************************************************************
     456             : !> \brief Takes the precomputed potential of an RI wave-function and determines matrix element and
     457             : !>        gradients with product of Gaussians
     458             : !> \param mat_munu ...
     459             : !> \param rho_r ...
     460             : !> \param matrix_P_munu ...
     461             : !> \param qs_env ...
     462             : !> \param pw_env_sub ...
     463             : !> \param task_list_sub ...
     464             : ! **************************************************************************************************
     465       10474 :    SUBROUTINE integrate_potential_forces_3c_1c(mat_munu, rho_r, matrix_P_munu, qs_env, pw_env_sub, &
     466             :                                                task_list_sub)
     467             : 
     468             :       TYPE(dbcsr_p_type), INTENT(INOUT)                  :: mat_munu
     469             :       TYPE(pw_r3d_rs_type), INTENT(IN)                   :: rho_r
     470             :       TYPE(dbcsr_p_type), INTENT(IN)                     :: matrix_P_munu
     471             :       TYPE(qs_environment_type), INTENT(IN), POINTER     :: qs_env
     472             :       TYPE(pw_env_type), INTENT(IN), POINTER             :: pw_env_sub
     473             :       TYPE(task_list_type), INTENT(INOUT), POINTER       :: task_list_sub
     474             : 
     475             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'integrate_potential_forces_3c_1c'
     476             : 
     477             :       INTEGER                                            :: handle
     478             : 
     479       10474 :       CALL timeset(routineN, handle)
     480             : 
     481             :       ! integrate the potential of the single gaussian and update
     482             :       ! 3-center forces
     483       10474 :       CALL dbcsr_set(mat_munu%matrix, 0.0_dp)
     484             :       CALL integrate_v_rspace(rho_r, hmat=mat_munu, pmat=matrix_P_munu, &
     485             :                               qs_env=qs_env, calculate_forces=.TRUE., compute_tau=.FALSE., gapw=.FALSE., &
     486             :                               pw_env_external=pw_env_sub, &
     487       10474 :                               task_list_external=task_list_sub)
     488             : 
     489       10474 :       CALL timestop(handle)
     490       10474 :    END SUBROUTINE integrate_potential_forces_3c_1c
     491             : 
     492             : ! **************************************************************************************************
     493             : !> \brief Integrates potential of two Gaussians to a potential
     494             : !> \param matrix_P_munu ...
     495             : !> \param rho_r ...
     496             : !> \param rho_g ...
     497             : !> \param task_list_sub ...
     498             : !> \param pw_env_sub ...
     499             : !> \param potential_parameter ...
     500             : !> \param ks_env ...
     501             : !> \param poisson_env ...
     502             : !> \param pot_g ...
     503             : !> \param use_virial ...
     504             : !> \param rho_g_copy ...
     505             : !> \param dvg ...
     506             : !> \param h_stress ...
     507             : !> \param para_env_sub ...
     508             : !> \param kind_of ...
     509             : !> \param atom_of_kind ...
     510             : !> \param qs_kind_set ...
     511             : !> \param particle_set ...
     512             : !> \param cell ...
     513             : !> \param LLL ...
     514             : !> \param force ...
     515             : !> \param dft_control ...
     516             : ! **************************************************************************************************
     517       10474 :    SUBROUTINE integrate_potential_forces_3c_2c(matrix_P_munu, rho_r, rho_g, task_list_sub, pw_env_sub, &
     518             :                                                potential_parameter, &
     519             :                                                ks_env, poisson_env, pot_g, use_virial, rho_g_copy, dvg, &
     520       10474 :                                                h_stress, para_env_sub, kind_of, atom_of_kind, &
     521             :                                                qs_kind_set, particle_set, cell, LLL, force, dft_control)
     522             : 
     523             :       TYPE(dbcsr_p_type), INTENT(IN)                     :: matrix_P_munu
     524             :       TYPE(pw_r3d_rs_type), INTENT(INOUT)                :: rho_r
     525             :       TYPE(pw_c1d_gs_type), INTENT(INOUT)                :: rho_g
     526             :       TYPE(task_list_type), INTENT(IN), POINTER          :: task_list_sub
     527             :       TYPE(pw_env_type), INTENT(IN), POINTER             :: pw_env_sub
     528             :       TYPE(libint_potential_type), INTENT(IN)            :: potential_parameter
     529             :       TYPE(qs_ks_env_type), INTENT(IN), POINTER          :: ks_env
     530             :       TYPE(pw_poisson_type), INTENT(IN), POINTER         :: poisson_env
     531             :       TYPE(pw_c1d_gs_type), INTENT(INOUT)                :: pot_g
     532             :       LOGICAL, INTENT(IN)                                :: use_virial
     533             :       TYPE(pw_c1d_gs_type), INTENT(INOUT)                :: rho_g_copy
     534             :       TYPE(pw_c1d_gs_type), INTENT(IN)                   :: dvg(3)
     535             :       REAL(KIND=dp), DIMENSION(3, 3), INTENT(INOUT)      :: h_stress
     536             :       TYPE(mp_para_env_type), INTENT(IN)                 :: para_env_sub
     537             :       INTEGER, DIMENSION(:), INTENT(IN)                  :: kind_of, atom_of_kind
     538             :       TYPE(qs_kind_type), DIMENSION(:), INTENT(IN), &
     539             :          POINTER                                         :: qs_kind_set
     540             :       TYPE(particle_type), DIMENSION(:), INTENT(IN), &
     541             :          POINTER                                         :: particle_set
     542             :       TYPE(cell_type), INTENT(IN), POINTER               :: cell
     543             :       INTEGER, INTENT(IN)                                :: LLL
     544             :       TYPE(qs_force_type), DIMENSION(:), INTENT(IN), &
     545             :          POINTER                                         :: force
     546             :       TYPE(dft_control_type), INTENT(IN), POINTER        :: dft_control
     547             : 
     548             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'integrate_potential_forces_3c_2c'
     549             : 
     550             :       INTEGER                                            :: atom_a, handle, handle2, iatom, &
     551             :                                                             igrid_level, ikind, iorb, ipgf, iset, &
     552             :                                                             na1, na2, ncoa, nseta, offset, sgfa
     553       10474 :       INTEGER, DIMENSION(:), POINTER                     :: la_max, la_min, npgfa, nsgfa
     554       10474 :       INTEGER, DIMENSION(:, :), POINTER                  :: first_sgfa
     555             :       LOGICAL                                            :: map_it_here, skip_shell, use_subpatch
     556             :       REAL(KIND=dp)                                      :: radius
     557       10474 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: I_ab
     558             :       REAL(KIND=dp), DIMENSION(3)                        :: force_a, force_b, ra
     559             :       REAL(KIND=dp), DIMENSION(3, 3)                     :: my_virial_a, my_virial_b
     560       10474 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: set_radius_a
     561       10474 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: I_tmp2, pab, rpgfa, sphi_a, zeta
     562             :       TYPE(gto_basis_set_type), POINTER                  :: basis_set_a
     563             :       TYPE(realspace_grid_desc_p_type), DIMENSION(:), &
     564       10474 :          POINTER                                         :: rs_descs
     565       10474 :       TYPE(realspace_grid_type), DIMENSION(:), POINTER   :: rs_v
     566             : 
     567       10474 :       CALL timeset(routineN, handle)
     568             : 
     569             :       ! put the gamma density on grid
     570       10474 :       CALL timeset(routineN//"_Gpot", handle2)
     571       10474 :       CALL pw_zero(rho_r)
     572       10474 :       CALL pw_zero(rho_g)
     573             :       CALL calculate_rho_elec(matrix_p=matrix_P_munu%matrix, &
     574             :                               rho=rho_r, &
     575             :                               rho_gspace=rho_g, &
     576             :                               task_list_external=task_list_sub, &
     577             :                               pw_env_external=pw_env_sub, &
     578       10474 :                               ks_env=ks_env)
     579             :       ! calculate associated hartree potential
     580             :       !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
     581       10474 :       CALL calc_potential_gpw(rho_r, rho_g, poisson_env, pot_g, potential_parameter)
     582       10474 :       CALL timestop(handle2)
     583             : 
     584       10474 :       IF (use_virial) CALL virial_gpw_potential(rho_g_copy, pot_g, rho_g, dvg, h_stress, potential_parameter, para_env_sub)
     585             : 
     586             :       ! integrate potential with auxiliary basis function derivatives
     587       10474 :       NULLIFY (rs_v)
     588       10474 :       NULLIFY (rs_descs)
     589       10474 :       CALL pw_env_get(pw_env_sub, rs_descs=rs_descs, rs_grids=rs_v)
     590       10474 :       CALL potential_pw2rs(rs_v, rho_r, pw_env_sub)
     591             : 
     592       10474 :       offset = 0
     593       43219 :       DO iatom = 1, SIZE(kind_of)
     594       32745 :          ikind = kind_of(iatom)
     595       32745 :          atom_a = atom_of_kind(iatom)
     596             :          CALL get_qs_kind(qs_kind=qs_kind_set(ikind), basis_set=basis_set_a, &
     597       32745 :                           basis_type="RI_AUX")
     598             : 
     599       32745 :          first_sgfa => basis_set_a%first_sgf
     600       32745 :          la_max => basis_set_a%lmax
     601       32745 :          la_min => basis_set_a%lmin
     602       32745 :          npgfa => basis_set_a%npgf
     603       32745 :          nseta = basis_set_a%nset
     604       32745 :          nsgfa => basis_set_a%nsgf_set
     605       32745 :          rpgfa => basis_set_a%pgf_radius
     606       32745 :          set_radius_a => basis_set_a%set_radius
     607       32745 :          sphi_a => basis_set_a%sphi
     608       32745 :          zeta => basis_set_a%zet
     609             : 
     610       32745 :          ra(:) = pbc(particle_set(iatom)%r, cell)
     611             : 
     612       32745 :          force_a(:) = 0.0_dp
     613       32745 :          force_b(:) = 0.0_dp
     614       32745 :          IF (use_virial) THEN
     615        7143 :             my_virial_a = 0.0_dp
     616        7143 :             my_virial_b = 0.0_dp
     617             :          END IF
     618             : 
     619      343998 :          DO iset = 1, nseta
     620      311253 :             ncoa = npgfa(iset)*ncoset(la_max(iset))
     621      311253 :             sgfa = first_sgfa(1, iset)
     622             : 
     623      933759 :             ALLOCATE (I_tmp2(ncoa, 1))
     624     2205861 :             I_tmp2 = 0.0_dp
     625      933759 :             ALLOCATE (I_ab(nsgfa(iset), 1))
     626     1513650 :             I_ab = 0.0_dp
     627      622506 :             ALLOCATE (pab(ncoa, 1))
     628     2205861 :             pab = 0.0_dp
     629             : 
     630      311253 :             skip_shell = .TRUE.
     631     1202397 :             DO iorb = 1, nsgfa(iset)
     632     1202397 :                IF (iorb + offset == LLL) THEN
     633       10474 :                   I_ab(iorb, 1) = 1.0_dp
     634       10474 :                   skip_shell = .FALSE.
     635             :                END IF
     636             :             END DO
     637             : 
     638      311253 :             IF (skip_shell) THEN
     639      300779 :                offset = offset + nsgfa(iset)
     640      300779 :                DEALLOCATE (I_tmp2)
     641      300779 :                DEALLOCATE (I_ab)
     642      300779 :                DEALLOCATE (pab)
     643      300779 :                CYCLE
     644             :             END IF
     645             : 
     646             :             CALL dgemm("N", "N", ncoa, 1, nsgfa(iset), &
     647             :                        1.0_dp, sphi_a(1, sgfa), SIZE(sphi_a, 1), &
     648             :                        I_ab(1, 1), SIZE(I_ab, 1), &
     649       10474 :                        0.0_dp, pab(1, 1), SIZE(pab, 1))
     650       10474 :             DEALLOCATE (I_ab)
     651             : 
     652       31836 :             igrid_level = gaussian_gridlevel(pw_env_sub%gridlevel_info, MINVAL(zeta(:, iset)))
     653       10474 :             map_it_here = .FALSE.
     654       41896 :             use_subpatch = .NOT. ALL(rs_v(igrid_level)%desc%perd == 1)
     655             : 
     656       10474 :             IF (map_gaussian_here(rs_v(igrid_level), cell%h_inv, ra, offset, para_env_sub%num_pe, para_env_sub%mepos)) THEN
     657       20276 :                DO ipgf = 1, npgfa(iset)
     658       10300 :                   na1 = (ipgf - 1)*ncoset(la_max(iset)) + 1
     659       10300 :                   na2 = ipgf*ncoset(la_max(iset))
     660       10300 :                   igrid_level = gaussian_gridlevel(pw_env_sub%gridlevel_info, zeta(ipgf, iset))
     661             : 
     662             :                   radius = exp_radius_very_extended(la_min=la_min(iset), la_max=la_max(iset), &
     663             :                                                     lb_min=0, lb_max=0, ra=ra, rb=ra, rp=ra, &
     664             :                                                     zetp=zeta(ipgf, iset), &
     665             :                                                     eps=dft_control%qs_control%eps_gvg_rspace, &
     666       10300 :                                                     prefactor=1.0_dp, cutoff=1.0_dp)
     667             : 
     668             :                   CALL integrate_pgf_product(la_max=la_max(iset), zeta=zeta(ipgf, iset)/2.0_dp, la_min=la_min(iset), &
     669             :                                              lb_max=0, zetb=zeta(ipgf, iset)/2.0_dp, lb_min=0, &
     670             :                                              ra=ra, rab=(/0.0_dp, 0.0_dp, 0.0_dp/), &
     671             :                                              rsgrid=rs_v(igrid_level), &
     672             :                                              hab=I_tmp2, &
     673             :                                              pab=pab, &
     674             :                                              o1=na1 - 1, &
     675             :                                              o2=0, &
     676             :                                              radius=radius, &
     677             :                                              calculate_forces=.TRUE., &
     678             :                                              force_a=force_a, force_b=force_b, &
     679             :                                              use_virial=use_virial, &
     680             :                                              my_virial_a=my_virial_a, &
     681             :                                              my_virial_b=my_virial_b, &
     682             :                                              use_subpatch=use_subpatch, &
     683       20276 :                                              subpatch_pattern=0)
     684             :                END DO
     685             :             END IF
     686             : 
     687       10474 :             DEALLOCATE (I_tmp2)
     688       10474 :             DEALLOCATE (pab)
     689             : 
     690       43219 :             offset = offset + nsgfa(iset)
     691             : 
     692             :          END DO
     693             : 
     694             :          force(ikind)%rho_elec(:, atom_a) = &
     695      130980 :             force(ikind)%rho_elec(:, atom_a) + force_a(:) + force_b(:)
     696       43219 :          IF (use_virial) THEN
     697       92859 :             h_stress = h_stress + my_virial_a + my_virial_b
     698             :          END IF
     699             :       END DO
     700             : 
     701       10474 :       CALL timestop(handle)
     702             : 
     703       20948 :    END SUBROUTINE integrate_potential_forces_3c_2c
     704             : 
     705             : ! **************************************************************************************************
     706             : !> \brief Calculates stress tensor contribution from the operator
     707             : !> \param rho_g_copy ...
     708             : !> \param pot_g ...
     709             : !> \param rho_g ...
     710             : !> \param dvg ...
     711             : !> \param h_stress ...
     712             : !> \param potential_parameter ...
     713             : !> \param para_env_sub ...
     714             : ! **************************************************************************************************
     715        4650 :    SUBROUTINE virial_gpw_potential(rho_g_copy, pot_g, rho_g, dvg, h_stress, potential_parameter, para_env_sub)
     716             : 
     717             :       TYPE(pw_c1d_gs_type), INTENT(IN)                   :: rho_g_copy, pot_g
     718             :       TYPE(pw_c1d_gs_type), INTENT(INOUT)                :: rho_g
     719             :       TYPE(pw_c1d_gs_type), INTENT(IN)                   :: dvg(3)
     720             :       REAL(KIND=dp), DIMENSION(3, 3), INTENT(INOUT)      :: h_stress
     721             :       TYPE(libint_potential_type), INTENT(IN)            :: potential_parameter
     722             :       TYPE(mp_para_env_type), INTENT(IN)                 :: para_env_sub
     723             : 
     724             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'virial_gpw_potential'
     725             : 
     726             :       INTEGER                                            :: alpha, beta, handle
     727             :       INTEGER, DIMENSION(3)                              :: comp
     728             :       REAL(KIND=dp)                                      :: e_hartree
     729             : 
     730             :       ! add the volume contribution
     731        4650 :       CALL timeset(routineN, handle)
     732        4650 :       e_hartree = 0.0_dp
     733        4650 :       e_hartree = pw_integral_ab(rho_g_copy, pot_g)
     734             : 
     735       18600 :       DO alpha = 1, 3
     736       13950 :          comp = 0
     737       13950 :          comp(alpha) = 1
     738       13950 :          CALL pw_copy(pot_g, rho_g)
     739       13950 :          CALL pw_derive(rho_g, comp)
     740       13950 :          CALL factor_virial_gpw(rho_g, potential_parameter)
     741       13950 :          h_stress(alpha, alpha) = h_stress(alpha, alpha) - e_hartree/REAL(para_env_sub%num_pe, dp)
     742       46500 :          DO beta = alpha, 3
     743             :             h_stress(alpha, beta) = h_stress(alpha, beta) &
     744       27900 :                                     - 2.0_dp*pw_integral_ab(rho_g, dvg(beta))/fourpi/REAL(para_env_sub%num_pe, dp)
     745       41850 :             h_stress(beta, alpha) = h_stress(alpha, beta)
     746             :          END DO
     747             :       END DO
     748             : 
     749        4650 :       CALL timestop(handle)
     750        4650 :    END SUBROUTINE virial_gpw_potential
     751             : 
     752             : ! **************************************************************************************************
     753             : !> \brief Multiplies a potential in g space with the factor ln(V(g)/Vc(g))' with Vc(g) being the
     754             : !>        Fourier-transformed of the Coulomg potential
     755             : !> \param pw ...
     756             : !> \param potential_parameter parameters of potential V(g)
     757             : ! **************************************************************************************************
     758       13950 :    SUBROUTINE factor_virial_gpw(pw, potential_parameter)
     759             :       TYPE(pw_c1d_gs_type), INTENT(INOUT)                :: pw
     760             :       TYPE(libint_potential_type), INTENT(IN)            :: potential_parameter
     761             : 
     762       13950 :       SELECT CASE (potential_parameter%potential_type)
     763             :       CASE (do_potential_coulomb)
     764        1329 :          RETURN
     765             :       CASE (do_potential_long)
     766        1329 :          CALL pw_log_deriv_gauss(pw, potential_parameter%omega)
     767             :       CASE (do_potential_short)
     768           0 :          CALL pw_log_deriv_compl_gauss(pw, potential_parameter%omega)
     769             :       CASE (do_potential_mix_cl)
     770             :          CALL pw_log_deriv_mix_cl(pw, potential_parameter%omega, &
     771         249 :                                   potential_parameter%scale_coulomb, potential_parameter%scale_longrange)
     772             :       CASE (do_potential_truncated)
     773           0 :          CALL pw_log_deriv_trunc(pw, potential_parameter%cutoff_radius)
     774             :       CASE (do_potential_id)
     775           0 :          CALL pw_zero(pw)
     776             :       CASE DEFAULT
     777       13950 :          CPABORT("Unknown potential type")
     778             :       END SELECT
     779             : 
     780             :    END SUBROUTINE factor_virial_gpw
     781             : 
     782             : ! **************************************************************************************************
     783             : !> \brief Integrate potential of RI function with RI function
     784             : !> \param pw_env_sub ...
     785             : !> \param pot_r ...
     786             : !> \param kind_of ...
     787             : !> \param atom_of_kind ...
     788             : !> \param particle_set ...
     789             : !> \param qs_kind_set ...
     790             : !> \param G_PQ_local ...
     791             : !> \param cell ...
     792             : !> \param force ...
     793             : !> \param use_virial ...
     794             : !> \param h_stress ...
     795             : !> \param para_env_sub ...
     796             : !> \param dft_control ...
     797             : ! **************************************************************************************************
     798       10972 :    SUBROUTINE integrate_potential(pw_env_sub, pot_r, kind_of, atom_of_kind, particle_set, qs_kind_set, &
     799       10972 :                                   G_PQ_local, cell, force, use_virial, h_stress, para_env_sub, dft_control)
     800             : 
     801             :       TYPE(pw_env_type), INTENT(IN), POINTER             :: pw_env_sub
     802             :       TYPE(pw_r3d_rs_type), INTENT(IN)                   :: pot_r
     803             :       INTEGER, DIMENSION(:), INTENT(IN)                  :: kind_of, atom_of_kind
     804             :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     805             :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     806             :       REAL(KIND=dp), DIMENSION(:), INTENT(IN)            :: G_PQ_local
     807             :       TYPE(cell_type), INTENT(IN), POINTER               :: cell
     808             :       TYPE(qs_force_type), DIMENSION(:), POINTER         :: force
     809             :       LOGICAL, INTENT(IN)                                :: use_virial
     810             :       REAL(KIND=dp), DIMENSION(3, 3), INTENT(INOUT)      :: h_stress
     811             :       TYPE(mp_para_env_type), INTENT(IN)                 :: para_env_sub
     812             :       TYPE(dft_control_type), INTENT(IN), POINTER        :: dft_control
     813             : 
     814             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'integrate_potential'
     815             : 
     816             :       INTEGER                                            :: atom_a, handle, iatom, igrid_level, &
     817             :                                                             ikind, ipgf, iset, na1, na2, ncoa, &
     818             :                                                             nseta, offset, sgfa
     819       10972 :       INTEGER, DIMENSION(:), POINTER                     :: la_max, la_min, npgfa, nsgfa
     820       10972 :       INTEGER, DIMENSION(:, :), POINTER                  :: first_sgfa
     821             :       LOGICAL                                            :: use_subpatch
     822             :       REAL(KIND=dp)                                      :: radius
     823       10972 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: I_ab
     824             :       REAL(KIND=dp), DIMENSION(3)                        :: force_a, force_b, ra
     825             :       REAL(KIND=dp), DIMENSION(3, 3)                     :: my_virial_a, my_virial_b
     826       10972 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: set_radius_a
     827       10972 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: I_tmp2, pab, rpgfa, sphi_a, zeta
     828             :       TYPE(gto_basis_set_type), POINTER                  :: basis_set_a
     829             :       TYPE(realspace_grid_desc_p_type), DIMENSION(:), &
     830       10972 :          POINTER                                         :: rs_descs
     831       10972 :       TYPE(realspace_grid_type), DIMENSION(:), POINTER   :: rs_v
     832             : 
     833       10972 :       CALL timeset(routineN, handle)
     834             : 
     835       10972 :       NULLIFY (rs_v)
     836       10972 :       NULLIFY (rs_descs)
     837       10972 :       CALL pw_env_get(pw_env_sub, rs_descs=rs_descs, rs_grids=rs_v)
     838       10972 :       CALL potential_pw2rs(rs_v, pot_r, pw_env_sub)
     839             : 
     840       10972 :       offset = 0
     841       45211 :       DO iatom = 1, SIZE(kind_of)
     842       34239 :          ikind = kind_of(iatom)
     843       34239 :          atom_a = atom_of_kind(iatom)
     844             :          CALL get_qs_kind(qs_kind=qs_kind_set(ikind), basis_set=basis_set_a, &
     845       34239 :                           basis_type="RI_AUX")
     846             : 
     847       34239 :          first_sgfa => basis_set_a%first_sgf
     848       34239 :          la_max => basis_set_a%lmax
     849       34239 :          la_min => basis_set_a%lmin
     850       34239 :          npgfa => basis_set_a%npgf
     851       34239 :          nseta = basis_set_a%nset
     852       34239 :          nsgfa => basis_set_a%nsgf_set
     853       34239 :          rpgfa => basis_set_a%pgf_radius
     854       34239 :          set_radius_a => basis_set_a%set_radius
     855       34239 :          sphi_a => basis_set_a%sphi
     856       34239 :          zeta => basis_set_a%zet
     857             : 
     858       34239 :          ra(:) = pbc(particle_set(iatom)%r, cell)
     859             : 
     860       34239 :          force_a(:) = 0.0_dp
     861       34239 :          force_b(:) = 0.0_dp
     862       34239 :          IF (use_virial) THEN
     863        7641 :             my_virial_a = 0.0_dp
     864        7641 :             my_virial_b = 0.0_dp
     865             :          END IF
     866             : 
     867      359934 :          DO iset = 1, nseta
     868      325695 :             ncoa = npgfa(iset)*ncoset(la_max(iset))
     869      325695 :             sgfa = first_sgfa(1, iset)
     870             : 
     871      977085 :             ALLOCATE (I_tmp2(ncoa, 1))
     872     2308449 :             I_tmp2 = 0.0_dp
     873      977085 :             ALLOCATE (I_ab(nsgfa(iset), 1))
     874     1583868 :             I_ab = 0.0_dp
     875      651390 :             ALLOCATE (pab(ncoa, 1))
     876     2308449 :             pab = 0.0_dp
     877             : 
     878     1258173 :             I_ab(1:nsgfa(iset), 1) = -4.0_dp*G_PQ_local(offset + 1:offset + nsgfa(iset))
     879             : 
     880             :             CALL dgemm("N", "N", ncoa, 1, nsgfa(iset), &
     881             :                        1.0_dp, sphi_a(1, sgfa), SIZE(sphi_a, 1), &
     882             :                        I_ab(1, 1), SIZE(I_ab, 1), &
     883      325695 :                        0.0_dp, pab(1, 1), SIZE(pab, 1))
     884             : 
     885     1583868 :             I_ab = 0.0_dp
     886             : 
     887      978741 :             igrid_level = gaussian_gridlevel(pw_env_sub%gridlevel_info, MINVAL(zeta(:, iset)))
     888     1302780 :             use_subpatch = .NOT. ALL(rs_v(igrid_level)%desc%perd == 1)
     889             : 
     890      325695 :             IF (map_gaussian_here(rs_v(igrid_level), cell%h_inv, ra, offset, para_env_sub%num_pe, para_env_sub%mepos)) THEN
     891      623334 :                DO ipgf = 1, npgfa(iset)
     892      312081 :                   na1 = (ipgf - 1)*ncoset(la_max(iset)) + 1
     893      312081 :                   na2 = ipgf*ncoset(la_max(iset))
     894      312081 :                   igrid_level = gaussian_gridlevel(pw_env_sub%gridlevel_info, zeta(ipgf, iset))
     895             : 
     896             :                   radius = exp_radius_very_extended(la_min=la_min(iset), la_max=la_max(iset), &
     897             :                                                     lb_min=0, lb_max=0, ra=ra, rb=ra, rp=ra, &
     898             :                                                     zetp=zeta(ipgf, iset), &
     899             :                                                     eps=dft_control%qs_control%eps_gvg_rspace, &
     900      312081 :                                                     prefactor=1.0_dp, cutoff=1.0_dp)
     901             : 
     902             :                   CALL integrate_pgf_product(la_max=la_max(iset), zeta=zeta(ipgf, iset)/2.0_dp, la_min=la_min(iset), &
     903             :                                              lb_max=0, zetb=zeta(ipgf, iset)/2.0_dp, lb_min=0, &
     904             :                                              ra=ra, rab=(/0.0_dp, 0.0_dp, 0.0_dp/), &
     905             :                                              rsgrid=rs_v(igrid_level), &
     906             :                                              hab=I_tmp2, &
     907             :                                              pab=pab, &
     908             :                                              o1=na1 - 1, &
     909             :                                              o2=0, &
     910             :                                              radius=radius, &
     911             :                                              calculate_forces=.TRUE., &
     912             :                                              force_a=force_a, force_b=force_b, &
     913             :                                              use_virial=use_virial, &
     914             :                                              my_virial_a=my_virial_a, &
     915             :                                              my_virial_b=my_virial_b, &
     916             :                                              use_subpatch=use_subpatch, &
     917      623334 :                                              subpatch_pattern=0)
     918             : 
     919             :                END DO
     920             : 
     921             :             END IF
     922             : 
     923      325695 :             DEALLOCATE (I_tmp2)
     924      325695 :             DEALLOCATE (I_ab)
     925      325695 :             DEALLOCATE (pab)
     926             : 
     927      359934 :             offset = offset + nsgfa(iset)
     928             : 
     929             :          END DO
     930             : 
     931             :          force(ikind)%rho_elec(:, atom_a) = &
     932      136956 :             force(ikind)%rho_elec(:, atom_a) + force_a(:) + force_b
     933       45211 :          IF (use_virial) THEN
     934       99333 :             h_stress = h_stress + my_virial_a + my_virial_b
     935             :          END IF
     936             :       END DO
     937             : 
     938       10972 :       CALL timestop(handle)
     939             : 
     940       21944 :    END SUBROUTINE
     941             : 
     942             : ! **************************************************************************************************
     943             : !> \brief Prepares GPW calculation for RI-MP2/RI-RPA
     944             : !> \param qs_env ...
     945             : !> \param dft_control ...
     946             : !> \param e_cutoff_old ...
     947             : !> \param cutoff_old ...
     948             : !> \param relative_cutoff_old ...
     949             : !> \param para_env_sub ...
     950             : !> \param pw_env_sub ...
     951             : !> \param auxbas_pw_pool ...
     952             : !> \param poisson_env ...
     953             : !> \param task_list_sub ...
     954             : !> \param rho_r ...
     955             : !> \param rho_g ...
     956             : !> \param pot_g ...
     957             : !> \param psi_L ...
     958             : !> \param sab_orb_sub ...
     959             : ! **************************************************************************************************
     960         994 :    SUBROUTINE prepare_gpw(qs_env, dft_control, e_cutoff_old, cutoff_old, relative_cutoff_old, para_env_sub, pw_env_sub, &
     961             :                           auxbas_pw_pool, poisson_env, task_list_sub, rho_r, rho_g, pot_g, psi_L, sab_orb_sub)
     962             :       TYPE(qs_environment_type), INTENT(IN), POINTER     :: qs_env
     963             :       TYPE(dft_control_type), INTENT(IN), POINTER        :: dft_control
     964             :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:), &
     965             :          INTENT(OUT)                                     :: e_cutoff_old
     966             :       REAL(KIND=dp), INTENT(OUT)                         :: cutoff_old, relative_cutoff_old
     967             :       TYPE(mp_para_env_type), INTENT(IN), POINTER        :: para_env_sub
     968             :       TYPE(pw_env_type), POINTER                         :: pw_env_sub
     969             :       TYPE(pw_pool_type), INTENT(IN), POINTER            :: auxbas_pw_pool
     970             :       TYPE(pw_poisson_type), INTENT(IN), POINTER         :: poisson_env
     971             :       TYPE(task_list_type), POINTER                      :: task_list_sub
     972             :       TYPE(pw_r3d_rs_type), INTENT(OUT)                  :: rho_r
     973             :       TYPE(pw_c1d_gs_type), INTENT(OUT)                  :: rho_g, pot_g
     974             :       TYPE(pw_r3d_rs_type), INTENT(OUT)                  :: psi_L
     975             :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     976             :          INTENT(IN), POINTER                             :: sab_orb_sub
     977             : 
     978             :       CHARACTER(LEN=*), PARAMETER                        :: routineN = 'prepare_gpw'
     979             : 
     980             :       INTEGER                                            :: handle, i_multigrid, n_multigrid
     981             :       LOGICAL                                            :: skip_load_balance_distributed
     982             :       REAL(KIND=dp)                                      :: progression_factor
     983             :       TYPE(qs_ks_env_type), POINTER                      :: ks_env
     984             : 
     985         994 :       CALL timeset(routineN, handle)
     986             : 
     987         994 :       CALL get_qs_env(qs_env, dft_control=dft_control, ks_env=ks_env)
     988             : 
     989             :       ! hack hack hack XXXXXXXXXXXXXXX rebuilds the pw_en with the new cutoffs
     990         994 :       progression_factor = dft_control%qs_control%progression_factor
     991         994 :       n_multigrid = SIZE(dft_control%qs_control%e_cutoff)
     992        2982 :       ALLOCATE (e_cutoff_old(n_multigrid))
     993        4970 :       e_cutoff_old(:) = dft_control%qs_control%e_cutoff
     994         994 :       cutoff_old = dft_control%qs_control%cutoff
     995             : 
     996         994 :       dft_control%qs_control%cutoff = qs_env%mp2_env%mp2_gpw%cutoff*0.5_dp
     997         994 :       dft_control%qs_control%e_cutoff(1) = dft_control%qs_control%cutoff
     998        3976 :       DO i_multigrid = 2, n_multigrid
     999             :          dft_control%qs_control%e_cutoff(i_multigrid) = dft_control%qs_control%e_cutoff(i_multigrid - 1) &
    1000        3976 :                                                         /progression_factor
    1001             :       END DO
    1002             : 
    1003         994 :       relative_cutoff_old = dft_control%qs_control%relative_cutoff
    1004         994 :       dft_control%qs_control%relative_cutoff = qs_env%mp2_env%mp2_gpw%relative_cutoff*0.5_dp
    1005             : 
    1006             :       ! a pw_env
    1007         994 :       NULLIFY (pw_env_sub)
    1008         994 :       CALL pw_env_create(pw_env_sub)
    1009         994 :       CALL pw_env_rebuild(pw_env_sub, qs_env, para_env_sub)
    1010             : 
    1011             :       CALL pw_env_get(pw_env_sub, auxbas_pw_pool=auxbas_pw_pool, &
    1012         994 :                       poisson_env=poisson_env)
    1013             :       ! hack hack hack XXXXXXXXXXXXXXX
    1014             : 
    1015             :       ! now we need a task list, hard code skip_load_balance_distributed
    1016         994 :       NULLIFY (task_list_sub)
    1017         994 :       skip_load_balance_distributed = dft_control%qs_control%skip_load_balance_distributed
    1018         994 :       CALL allocate_task_list(task_list_sub)
    1019             :       CALL generate_qs_task_list(ks_env, task_list_sub, &
    1020             :                                  reorder_rs_grid_ranks=.TRUE., soft_valid=.FALSE., &
    1021             :                                  skip_load_balance_distributed=skip_load_balance_distributed, &
    1022         994 :                                  pw_env_external=pw_env_sub, sab_orb_external=sab_orb_sub)
    1023             : 
    1024             :       ! get some of the grids ready
    1025         994 :       CALL auxbas_pw_pool%create_pw(rho_r)
    1026         994 :       CALL auxbas_pw_pool%create_pw(rho_g)
    1027         994 :       CALL auxbas_pw_pool%create_pw(pot_g)
    1028         994 :       CALL auxbas_pw_pool%create_pw(psi_L)
    1029             : 
    1030             :       ! run the FFT once, to set up buffers and to take into account the memory
    1031         994 :       CALL pw_zero(rho_r)
    1032         994 :       CALL pw_transfer(rho_r, rho_g)
    1033             : 
    1034         994 :       CALL timestop(handle)
    1035             : 
    1036         994 :    END SUBROUTINE prepare_gpw
    1037             : 
    1038             : ! **************************************************************************************************
    1039             : !> \brief Cleanup GPW integration for RI-MP2/RI-RPA
    1040             : !> \param qs_env ...
    1041             : !> \param e_cutoff_old ...
    1042             : !> \param cutoff_old ...
    1043             : !> \param relative_cutoff_old ...
    1044             : !> \param para_env_sub ...
    1045             : !> \param pw_env_sub ...
    1046             : !> \param task_list_sub ...
    1047             : !> \param auxbas_pw_pool ...
    1048             : !> \param rho_r ...
    1049             : !> \param rho_g ...
    1050             : !> \param pot_g ...
    1051             : !> \param psi_L ...
    1052             : ! **************************************************************************************************
    1053         994 :    SUBROUTINE cleanup_gpw(qs_env, e_cutoff_old, cutoff_old, relative_cutoff_old, para_env_sub, pw_env_sub, &
    1054             :                           task_list_sub, auxbas_pw_pool, rho_r, rho_g, pot_g, psi_L)
    1055             :       TYPE(qs_environment_type), INTENT(IN), POINTER     :: qs_env
    1056             :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:), &
    1057             :          INTENT(IN)                                      :: e_cutoff_old
    1058             :       REAL(KIND=dp), INTENT(IN)                          :: cutoff_old, relative_cutoff_old
    1059             :       TYPE(mp_para_env_type), INTENT(IN)                 :: para_env_sub
    1060             :       TYPE(pw_env_type), POINTER                         :: pw_env_sub
    1061             :       TYPE(task_list_type), POINTER                      :: task_list_sub
    1062             :       TYPE(pw_pool_type), INTENT(IN), POINTER            :: auxbas_pw_pool
    1063             :       TYPE(pw_r3d_rs_type), INTENT(INOUT)                :: rho_r
    1064             :       TYPE(pw_c1d_gs_type), INTENT(INOUT)                :: rho_g, pot_g
    1065             :       TYPE(pw_r3d_rs_type), INTENT(INOUT)                :: psi_L
    1066             : 
    1067             :       CHARACTER(LEN=*), PARAMETER                        :: routineN = 'cleanup_gpw'
    1068             : 
    1069             :       INTEGER                                            :: handle
    1070             :       TYPE(dft_control_type), POINTER                    :: dft_control
    1071             : 
    1072         994 :       CALL timeset(routineN, handle)
    1073             : 
    1074             :       ! and now free the whole lot
    1075         994 :       CALL auxbas_pw_pool%give_back_pw(rho_r)
    1076         994 :       CALL auxbas_pw_pool%give_back_pw(rho_g)
    1077         994 :       CALL auxbas_pw_pool%give_back_pw(pot_g)
    1078         994 :       CALL auxbas_pw_pool%give_back_pw(psi_L)
    1079             : 
    1080         994 :       CALL deallocate_task_list(task_list_sub)
    1081         994 :       CALL pw_env_release(pw_env_sub, para_env=para_env_sub)
    1082             : 
    1083         994 :       CALL get_qs_env(qs_env, dft_control=dft_control)
    1084             : 
    1085             :       ! restore the initial value of the cutoff
    1086        4970 :       dft_control%qs_control%e_cutoff = e_cutoff_old
    1087         994 :       dft_control%qs_control%cutoff = cutoff_old
    1088         994 :       dft_control%qs_control%relative_cutoff = relative_cutoff_old
    1089             : 
    1090         994 :       CALL timestop(handle)
    1091             : 
    1092         994 :    END SUBROUTINE cleanup_gpw
    1093             : 
    1094             : ! **************************************************************************************************
    1095             : !> \brief Calculates potential from a given density in g-space
    1096             : !> \param pot_r on output: potential in r space
    1097             : !> \param rho_g on input: rho in g space
    1098             : !> \param poisson_env ...
    1099             : !> \param pot_g on output: potential in g space
    1100             : !> \param potential_parameter Potential parameters, if not provided, assume Coulomb potential
    1101             : !> \param dvg in output: first derivatives of the corresponding Coulomb potential
    1102             : !> \param no_transfer whether NOT to transform potential from g-space to r-space (default: do it)
    1103             : ! **************************************************************************************************
    1104       56838 :    SUBROUTINE calc_potential_gpw(pot_r, rho_g, poisson_env, pot_g, potential_parameter, dvg, no_transfer)
    1105             :       TYPE(pw_r3d_rs_type), INTENT(INOUT)                :: pot_r
    1106             :       TYPE(pw_c1d_gs_type), INTENT(IN)                   :: rho_g
    1107             :       TYPE(pw_poisson_type), INTENT(IN), POINTER         :: poisson_env
    1108             :       TYPE(pw_c1d_gs_type), INTENT(INOUT)                :: pot_g
    1109             :       TYPE(libint_potential_type), INTENT(IN), OPTIONAL  :: potential_parameter
    1110             :       TYPE(pw_c1d_gs_type), DIMENSION(3), &
    1111             :          INTENT(INOUT), OPTIONAL                         :: dvg
    1112             :       LOGICAL, INTENT(IN), OPTIONAL                      :: no_transfer
    1113             : 
    1114             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'calc_potential_gpw'
    1115             : 
    1116             :       INTEGER                                            :: comp(3), handle, idir, my_potential_type
    1117             :       LOGICAL                                            :: my_transfer
    1118             : 
    1119       56838 :       CALL timeset(routineN, handle)
    1120             : 
    1121       56838 :       my_potential_type = do_potential_coulomb
    1122       56838 :       IF (PRESENT(potential_parameter)) THEN
    1123       56838 :          my_potential_type = potential_parameter%potential_type
    1124             :       END IF
    1125             : 
    1126       56838 :       my_transfer = .TRUE.
    1127       56838 :       IF (PRESENT(no_transfer)) my_transfer = .NOT. no_transfer
    1128             : 
    1129             :       ! in case we do Coulomb metric for RI, we need the Coulomb operator, but for RI with the
    1130             :       ! overlap metric, we do not need the Coulomb operator
    1131       56838 :       IF (my_potential_type /= do_potential_id) THEN
    1132       55842 :          IF (PRESENT(dvg)) THEN
    1133        2491 :             CALL pw_poisson_solve(poisson_env, rho_g, vhartree=pot_g, dvhartree=dvg)
    1134             :          ELSE
    1135       53351 :             CALL pw_poisson_solve(poisson_env, rho_g, vhartree=pot_g)
    1136             :          END IF
    1137       55842 :          IF (my_potential_type == do_potential_long) CALL pw_gauss_damp(pot_g, potential_parameter%omega)
    1138       55842 :          IF (my_potential_type == do_potential_short) CALL pw_compl_gauss_damp(pot_g, potential_parameter%omega)
    1139       55842 :          IF (my_potential_type == do_potential_truncated) CALL pw_truncated(pot_g, potential_parameter%cutoff_radius)
    1140       55842 :          IF (my_potential_type == do_potential_mix_cl) CALL pw_gauss_damp_mix(pot_g, potential_parameter%omega, &
    1141             :                                                                               potential_parameter%scale_coulomb, &
    1142         332 :                                                                               potential_parameter%scale_longrange)
    1143       55842 :          IF (my_transfer) CALL pw_transfer(pot_g, pot_r)
    1144             :       ELSE
    1145             :          ! If we use an overlap metric, make sure to use the correct potential=density on output
    1146         996 :          CALL pw_copy(rho_g, pot_g)
    1147         996 :          IF (PRESENT(dvg)) THEN
    1148           0 :          DO idir = 1, 3
    1149           0 :             CALL pw_copy(pot_g, dvg(idir))
    1150           0 :             comp = 0
    1151           0 :             comp(idir) = 1
    1152           0 :             CALL pw_derive(dvg(idir), comp)
    1153             :          END DO
    1154             :          END IF
    1155         996 :          IF (my_transfer) CALL pw_transfer(rho_g, pot_r)
    1156             :       END IF
    1157             : 
    1158       54347 :       IF (my_transfer) CALL pw_scale(pot_r, pot_r%pw_grid%dvol)
    1159       56838 :       CALL timestop(handle)
    1160             : 
    1161       56838 :    END SUBROUTINE calc_potential_gpw
    1162             : 
    1163             : END MODULE mp2_eri_gpw

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