LCOV - code coverage report
Current view: top level - src - qs_overlap.F (source / functions) Hit Total Coverage
Test: CP2K Regtests (git:4dc10b3) Lines: 228 231 98.7 %
Date: 2024-11-21 06:45:46 Functions: 6 6 100.0 %

          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 Calculation of overlap matrix, its derivatives and forces
      10             : !> \par History
      11             : !>      JGH: removed printing routines
      12             : !>      JGH: upgraded to unique routine for overlaps
      13             : !>      JGH: Add specific routine for 'forces only'
      14             : !>           Major refactoring for new overlap routines
      15             : !>      JGH: Kpoints
      16             : !>      JGH: openMP refactoring
      17             : !> \author Matthias Krack (03.09.2001,25.06.2003)
      18             : ! **************************************************************************************************
      19             : MODULE qs_overlap
      20             :    USE ai_contraction,                  ONLY: block_add,&
      21             :                                               contraction,&
      22             :                                               decontraction,&
      23             :                                               force_trace
      24             :    USE ai_overlap,                      ONLY: overlap_ab
      25             :    USE atomic_kind_types,               ONLY: atomic_kind_type,&
      26             :                                               get_atomic_kind_set
      27             :    USE basis_set_types,                 ONLY: get_gto_basis_set,&
      28             :                                               gto_basis_set_p_type,&
      29             :                                               gto_basis_set_type
      30             :    USE block_p_types,                   ONLY: block_p_type
      31             :    USE cp_control_types,                ONLY: dft_control_type
      32             :    USE cp_dbcsr_api,                    ONLY: &
      33             :         dbcsr_create, dbcsr_distribution_type, dbcsr_filter, dbcsr_finalize, dbcsr_get_block_p, &
      34             :         dbcsr_p_type, dbcsr_type, dbcsr_type_antisymmetric, dbcsr_type_no_symmetry, &
      35             :         dbcsr_type_symmetric
      36             :    USE cp_dbcsr_cp2k_link,              ONLY: cp_dbcsr_alloc_block_from_nbl
      37             :    USE cp_dbcsr_operations,             ONLY: dbcsr_allocate_matrix_set
      38             :    USE kinds,                           ONLY: default_string_length,&
      39             :                                               dp,&
      40             :                                               int_8
      41             :    USE kpoint_types,                    ONLY: get_kpoint_info,&
      42             :                                               kpoint_type
      43             :    USE orbital_pointers,                ONLY: indco,&
      44             :                                               ncoset
      45             :    USE orbital_symbols,                 ONLY: cgf_symbol
      46             :    USE particle_methods,                ONLY: get_particle_set
      47             :    USE particle_types,                  ONLY: particle_type
      48             :    USE qs_force_types,                  ONLY: qs_force_type
      49             :    USE qs_integral_utils,               ONLY: basis_set_list_setup,&
      50             :                                               get_memory_usage
      51             :    USE qs_kind_types,                   ONLY: qs_kind_type
      52             :    USE qs_ks_types,                     ONLY: get_ks_env,&
      53             :                                               qs_ks_env_type
      54             :    USE qs_neighbor_list_types,          ONLY: get_neighbor_list_set_p,&
      55             :                                               neighbor_list_set_p_type
      56             :    USE string_utilities,                ONLY: compress,&
      57             :                                               uppercase
      58             :    USE virial_methods,                  ONLY: virial_pair_force
      59             :    USE virial_types,                    ONLY: virial_type
      60             : 
      61             : !$ USE OMP_LIB, ONLY: omp_lock_kind, &
      62             : !$                    omp_init_lock, omp_set_lock, &
      63             : !$                    omp_unset_lock, omp_destroy_lock
      64             : 
      65             : #include "./base/base_uses.f90"
      66             : 
      67             :    IMPLICIT NONE
      68             : 
      69             :    PRIVATE
      70             : 
      71             : ! *** Global parameters ***
      72             : 
      73             :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'qs_overlap'
      74             : 
      75             :    ! should be a parameter, but this triggers a bug in OMPed code with gfortran 4.9
      76             :    INTEGER, DIMENSION(1:56), SAVE :: ndod = (/0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, &
      77             :                                               1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, &
      78             :                                               0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, &
      79             :                                               1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1/)
      80             : 
      81             :    INTERFACE create_sab_matrix
      82             :       MODULE PROCEDURE create_sab_matrix_1d, create_sab_matrix_2d
      83             :    END INTERFACE
      84             : 
      85             : ! *** Public subroutines ***
      86             : 
      87             :    PUBLIC :: build_overlap_matrix, build_overlap_matrix_simple, &
      88             :              build_overlap_force, create_sab_matrix
      89             : 
      90             : CONTAINS
      91             : 
      92             : ! **************************************************************************************************
      93             : !> \brief   Calculation of the overlap matrix over Cartesian Gaussian functions.
      94             : !> \param   ks_env the QS env
      95             : !> \param   matrix_s The overlap matrix to be calculated (optional)
      96             : !> \param   matrixkp_s The overlap matrices to be calculated (kpoints, optional)
      97             : !> \param   matrix_name The name of the overlap matrix (i.e. for output)
      98             : !> \param   nderivative Derivative with respect to basis origin
      99             : !> \param   basis_type_a basis set to be used for bra in <a|b>
     100             : !> \param   basis_type_b basis set to be used for ket in <a|b>
     101             : !> \param   sab_nl pair list (must be consistent with basis sets!)
     102             : !> \param   calculate_forces (optional) ...
     103             : !> \param   matrix_p density matrix for force calculation (optional)
     104             : !> \param   matrixkp_p density matrix for force calculation with k_points (optional)
     105             : !> \date    11.03.2002
     106             : !> \par     History
     107             : !>          Enlarged functionality of this routine. Now overlap matrices based
     108             : !>          on different basis sets can be calculated, taking into account also
     109             : !>          mixed overlaps NOTE: the pointer to the overlap matrix must now be
     110             : !>          put into its corresponding env outside of this routine
     111             : !>          [Manuel Guidon]
     112             : !>          Generalized for derivatives and force calculations [JHU]
     113             : !>          Kpoints, returns overlap matrices in real space index form
     114             : !> \author  MK
     115             : !> \version 1.0
     116             : ! **************************************************************************************************
     117       33116 :    SUBROUTINE build_overlap_matrix(ks_env, matrix_s, matrixkp_s, matrix_name, &
     118             :                                    nderivative, basis_type_a, basis_type_b, sab_nl, calculate_forces, &
     119             :                                    matrix_p, matrixkp_p)
     120             : 
     121             :       TYPE(qs_ks_env_type), POINTER                      :: ks_env
     122             :       TYPE(dbcsr_p_type), DIMENSION(:), OPTIONAL, &
     123             :          POINTER                                         :: matrix_s
     124             :       TYPE(dbcsr_p_type), DIMENSION(:, :), OPTIONAL, &
     125             :          POINTER                                         :: matrixkp_s
     126             :       CHARACTER(LEN=*), INTENT(IN), OPTIONAL             :: matrix_name
     127             :       INTEGER, INTENT(IN), OPTIONAL                      :: nderivative
     128             :       CHARACTER(LEN=*), INTENT(IN)                       :: basis_type_a, basis_type_b
     129             :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     130             :          POINTER                                         :: sab_nl
     131             :       LOGICAL, INTENT(IN), OPTIONAL                      :: calculate_forces
     132             :       TYPE(dbcsr_type), OPTIONAL, POINTER                :: matrix_p
     133             :       TYPE(dbcsr_p_type), DIMENSION(:, :), OPTIONAL, &
     134             :          POINTER                                         :: matrixkp_p
     135             : 
     136             :       INTEGER                                            :: natom
     137             : 
     138             :       MARK_USED(int_8)
     139             : 
     140       33116 :       CALL get_ks_env(ks_env, natom=natom)
     141             : 
     142             :       CALL build_overlap_matrix_low(ks_env, matrix_s, matrixkp_s, matrix_name, nderivative, &
     143             :                                     basis_type_a, basis_type_b, sab_nl, calculate_forces, &
     144       35502 :                                     matrix_p, matrixkp_p, natom)
     145             : 
     146       33116 :    END SUBROUTINE build_overlap_matrix
     147             : 
     148             : ! **************************************************************************************************
     149             : !> \brief Implementation of build_overlap_matrix with the additional natom argument passed in to
     150             : !>        allow for explicitly shaped force_thread array which is needed for OMP REDUCTION.
     151             : !> \param ks_env ...
     152             : !> \param matrix_s ...
     153             : !> \param matrixkp_s ...
     154             : !> \param matrix_name ...
     155             : !> \param nderivative ...
     156             : !> \param basis_type_a ...
     157             : !> \param basis_type_b ...
     158             : !> \param sab_nl ...
     159             : !> \param calculate_forces ...
     160             : !> \param matrix_p ...
     161             : !> \param matrixkp_p ...
     162             : !> \param natom ...
     163             : ! **************************************************************************************************
     164       33116 :    SUBROUTINE build_overlap_matrix_low(ks_env, matrix_s, matrixkp_s, matrix_name, nderivative, &
     165             :                                        basis_type_a, basis_type_b, sab_nl, calculate_forces, &
     166             :                                        matrix_p, matrixkp_p, natom)
     167             : 
     168             :       TYPE(qs_ks_env_type), POINTER                      :: ks_env
     169             :       TYPE(dbcsr_p_type), DIMENSION(:), OPTIONAL, &
     170             :          POINTER                                         :: matrix_s
     171             :       TYPE(dbcsr_p_type), DIMENSION(:, :), OPTIONAL, &
     172             :          POINTER                                         :: matrixkp_s
     173             :       CHARACTER(LEN=*), INTENT(IN), OPTIONAL             :: matrix_name
     174             :       INTEGER, INTENT(IN), OPTIONAL                      :: nderivative
     175             :       CHARACTER(LEN=*), INTENT(IN)                       :: basis_type_a, basis_type_b
     176             :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     177             :          POINTER                                         :: sab_nl
     178             :       LOGICAL, INTENT(IN), OPTIONAL                      :: calculate_forces
     179             :       TYPE(dbcsr_type), OPTIONAL, POINTER                :: matrix_p
     180             :       TYPE(dbcsr_p_type), DIMENSION(:, :), OPTIONAL, &
     181             :          POINTER                                         :: matrixkp_p
     182             :       INTEGER, INTENT(IN)                                :: natom
     183             : 
     184             :       CHARACTER(len=*), PARAMETER :: routineN = 'build_overlap_matrix_low'
     185             : 
     186             :       INTEGER :: atom_a, handle, i, iatom, ic, icol, ikind, irow, iset, jatom, jkind, jset, ldsab, &
     187             :          maxder, maxs, n1, n2, ncoa, ncob, nder, nimg, nkind, nseta, nsetb, sgfa, sgfb, slot
     188       33116 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: atom_of_kind, kind_of
     189             :       INTEGER, DIMENSION(3)                              :: cell
     190       33116 :       INTEGER, DIMENSION(:), POINTER                     :: la_max, la_min, lb_max, lb_min, npgfa, &
     191       33116 :                                                             npgfb, nsgfa, nsgfb
     192       33116 :       INTEGER, DIMENSION(:, :), POINTER                  :: first_sgfa, first_sgfb
     193       33116 :       INTEGER, DIMENSION(:, :, :), POINTER               :: cell_to_index
     194             :       LOGICAL                                            :: do_forces, do_symmetric, dokp, found, &
     195             :                                                             trans, use_cell_mapping, use_virial
     196             :       REAL(KIND=dp)                                      :: dab, f, f0, ff, rab2
     197       33116 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: owork, pmat
     198       33116 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :)     :: oint
     199             :       REAL(KIND=dp), DIMENSION(3)                        :: force_a, rab
     200             :       REAL(KIND=dp), DIMENSION(3, 3)                     :: pv_thread
     201       66232 :       REAL(KIND=dp), DIMENSION(3, natom)                 :: force_thread
     202       33116 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: set_radius_a, set_radius_b
     203       33116 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: p_block, rpgfa, rpgfb, scon_a, scon_b, &
     204       33116 :                                                             zeta, zetb
     205       33116 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     206       33116 :       TYPE(block_p_type), ALLOCATABLE, DIMENSION(:)      :: sint
     207             :       TYPE(dft_control_type), POINTER                    :: dft_control
     208       33116 :       TYPE(gto_basis_set_p_type), DIMENSION(:), POINTER  :: basis_set_list_a, basis_set_list_b
     209             :       TYPE(gto_basis_set_type), POINTER                  :: basis_set_a, basis_set_b
     210             :       TYPE(kpoint_type), POINTER                         :: kpoints
     211       33116 :       TYPE(qs_force_type), DIMENSION(:), POINTER         :: force
     212       33116 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     213             :       TYPE(virial_type), POINTER                         :: virial
     214             : 
     215             : !$    INTEGER(kind=omp_lock_kind), &
     216       33116 : !$       ALLOCATABLE, DIMENSION(:) :: locks
     217             : !$    INTEGER                                            :: lock_num, hash, hash1, hash2
     218             : !$    INTEGER(KIND=int_8)                                :: iatom8
     219             : !$    INTEGER, PARAMETER                                 :: nlock = 501
     220             : 
     221       33116 :       CALL timeset(routineN, handle)
     222             : 
     223             :       ! test for matrices (kpoints or standard gamma point)
     224       33116 :       IF (PRESENT(matrix_s)) THEN
     225             :          dokp = .FALSE.
     226             :          use_cell_mapping = .FALSE.
     227       18805 :       ELSEIF (PRESENT(matrixkp_s)) THEN
     228       18805 :          dokp = .TRUE.
     229       18805 :          CALL get_ks_env(ks_env=ks_env, kpoints=kpoints)
     230       18805 :          CALL get_kpoint_info(kpoint=kpoints, cell_to_index=cell_to_index)
     231       75220 :          use_cell_mapping = (SIZE(cell_to_index) > 1)
     232             :       ELSE
     233           0 :          CPABORT("")
     234             :       END IF
     235             : 
     236       33116 :       NULLIFY (atomic_kind_set)
     237             :       CALL get_ks_env(ks_env, &
     238             :                       atomic_kind_set=atomic_kind_set, &
     239             :                       qs_kind_set=qs_kind_set, &
     240       33116 :                       dft_control=dft_control)
     241             : 
     242       33116 :       nimg = dft_control%nimages
     243       33116 :       nkind = SIZE(qs_kind_set)
     244             : 
     245       33116 :       IF (PRESENT(calculate_forces)) THEN
     246        9217 :          do_forces = calculate_forces
     247             :       ELSE
     248             :          do_forces = .FALSE.
     249             :       END IF
     250             : 
     251       33116 :       IF (PRESENT(nderivative)) THEN
     252       20233 :          nder = nderivative
     253             :       ELSE
     254             :          nder = 0
     255             :       END IF
     256       33116 :       maxder = ncoset(nder)
     257             : 
     258             :       ! check for symmetry
     259       33116 :       CPASSERT(SIZE(sab_nl) > 0)
     260       33116 :       CALL get_neighbor_list_set_p(neighbor_list_sets=sab_nl, symmetric=do_symmetric)
     261       33116 :       IF (do_symmetric) THEN
     262       32080 :          CPASSERT(basis_type_a == basis_type_b)
     263             :       END IF
     264             : 
     265             :       ! set up basis set lists
     266      259228 :       ALLOCATE (basis_set_list_a(nkind), basis_set_list_b(nkind))
     267       33116 :       CALL basis_set_list_setup(basis_set_list_a, basis_type_a, qs_kind_set)
     268       33116 :       CALL basis_set_list_setup(basis_set_list_b, basis_type_b, qs_kind_set)
     269             : 
     270       33116 :       IF (dokp) THEN
     271       18805 :          CALL dbcsr_allocate_matrix_set(matrixkp_s, maxder, nimg)
     272             :          CALL create_sab_matrix(ks_env, matrixkp_s, matrix_name, basis_set_list_a, basis_set_list_b, &
     273       18805 :                                 sab_nl, do_symmetric)
     274             :       ELSE
     275       14311 :          CALL dbcsr_allocate_matrix_set(matrix_s, maxder)
     276             :          CALL create_sab_matrix(ks_env, matrix_s, matrix_name, basis_set_list_a, basis_set_list_b, &
     277       16697 :                                 sab_nl, do_symmetric)
     278             :       END IF
     279       33116 :       maxs = maxder
     280             : 
     281       33116 :       use_virial = .FALSE.
     282       33116 :       IF (do_forces) THEN
     283        9217 :          CALL get_ks_env(ks_env=ks_env, force=force, virial=virial)
     284        9217 :          use_virial = virial%pv_availability .AND. (.NOT. virial%pv_numer)
     285             :       END IF
     286             : 
     287      634468 :       force_thread = 0.0_dp
     288       33116 :       pv_thread = 0.0_dp
     289             : 
     290       33116 :       ldsab = get_memory_usage(qs_kind_set, basis_type_a, basis_type_b)
     291       33116 :       IF (do_forces) THEN
     292             :          ! we need density matrix for forces
     293        9217 :          IF (dokp) THEN
     294        6109 :             CPASSERT(PRESENT(matrixkp_p))
     295             :          ELSE
     296        3108 :             CPASSERT(PRESENT(matrix_p))
     297             :          END IF
     298        9217 :          nder = MAX(nder, 1)
     299             :       END IF
     300       33116 :       maxder = ncoset(nder)
     301             : 
     302             : !$OMP PARALLEL DEFAULT(NONE) &
     303             : !$OMP SHARED (do_forces, ldsab, maxder, use_cell_mapping, do_symmetric, maxs, dokp, &
     304             : !$OMP         ncoset, nder, use_virial, ndod, sab_nl, nimg,&
     305             : !$OMP         matrix_s, matrix_p,basis_set_list_a, basis_set_list_b, cell_to_index, &
     306             : !$OMP         matrixkp_s, matrixkp_p, locks, natom)  &
     307             : !$OMP PRIVATE (oint, owork, pmat, sint, ikind, jkind, iatom, jatom, rab, cell, &
     308             : !$OMP          basis_set_a, basis_set_b, &
     309             : !$OMP          first_sgfa, la_max, la_min, npgfa, nsgfa, nseta, rpgfa, set_radius_a, ncoa, ncob, force_a, &
     310             : !$OMP          zeta, first_sgfb, lb_max, lb_min, npgfb, nsetb, rpgfb, set_radius_b, nsgfb, p_block, dab, f,  &
     311             : !$OMP          zetb, scon_a, scon_b, ic, irow, icol, f0, ff, found, trans, rab2, n1, n2, sgfa, sgfb, iset, jset, &
     312             : !$OMP          hash, hash1, hash2, iatom8, slot ) &
     313       33116 : !$OMP REDUCTION (+ : pv_thread, force_thread )
     314             : 
     315             : !$OMP SINGLE
     316             : !$    ALLOCATE (locks(nlock))
     317             : !$OMP END SINGLE
     318             : 
     319             : !$OMP DO
     320             : !$    DO lock_num = 1, nlock
     321             : !$       call omp_init_lock(locks(lock_num))
     322             : !$    END DO
     323             : !$OMP END DO
     324             : 
     325             :       NULLIFY (p_block)
     326             :       ALLOCATE (oint(ldsab, ldsab, maxder), owork(ldsab, ldsab))
     327             :       IF (do_forces) ALLOCATE (pmat(ldsab, ldsab))
     328             :       ALLOCATE (sint(maxs))
     329             :       DO i = 1, maxs
     330             :          NULLIFY (sint(i)%block)
     331             :       END DO
     332             : 
     333             : !$OMP DO SCHEDULE(GUIDED)
     334             :       DO slot = 1, sab_nl(1)%nl_size
     335             : 
     336             :          ikind = sab_nl(1)%nlist_task(slot)%ikind
     337             :          jkind = sab_nl(1)%nlist_task(slot)%jkind
     338             :          iatom = sab_nl(1)%nlist_task(slot)%iatom
     339             :          jatom = sab_nl(1)%nlist_task(slot)%jatom
     340             :          cell(:) = sab_nl(1)%nlist_task(slot)%cell(:)
     341             :          rab(1:3) = sab_nl(1)%nlist_task(slot)%r(1:3)
     342             : 
     343             :          basis_set_a => basis_set_list_a(ikind)%gto_basis_set
     344             :          IF (.NOT. ASSOCIATED(basis_set_a)) CYCLE
     345             :          basis_set_b => basis_set_list_b(jkind)%gto_basis_set
     346             :          IF (.NOT. ASSOCIATED(basis_set_b)) CYCLE
     347             : 
     348             : !$       iatom8 = INT(iatom - 1, int_8)*INT(natom, int_8) + INT(jatom, int_8)
     349             : !$       hash1 = INT(MOD(iatom8, INT(nlock, int_8)) + 1)
     350             : 
     351             :          ! basis ikind
     352             :          first_sgfa => basis_set_a%first_sgf
     353             :          la_max => basis_set_a%lmax
     354             :          la_min => basis_set_a%lmin
     355             :          npgfa => basis_set_a%npgf
     356             :          nseta = basis_set_a%nset
     357             :          nsgfa => basis_set_a%nsgf_set
     358             :          rpgfa => basis_set_a%pgf_radius
     359             :          set_radius_a => basis_set_a%set_radius
     360             :          scon_a => basis_set_a%scon
     361             :          zeta => basis_set_a%zet
     362             :          ! basis jkind
     363             :          first_sgfb => basis_set_b%first_sgf
     364             :          lb_max => basis_set_b%lmax
     365             :          lb_min => basis_set_b%lmin
     366             :          npgfb => basis_set_b%npgf
     367             :          nsetb = basis_set_b%nset
     368             :          nsgfb => basis_set_b%nsgf_set
     369             :          rpgfb => basis_set_b%pgf_radius
     370             :          set_radius_b => basis_set_b%set_radius
     371             :          scon_b => basis_set_b%scon
     372             :          zetb => basis_set_b%zet
     373             : 
     374             :          IF (use_cell_mapping) THEN
     375             :             ic = cell_to_index(cell(1), cell(2), cell(3))
     376             :             IF (ic < 1 .OR. ic > nimg) CYCLE
     377             :          ELSE
     378             :             ic = 1
     379             :          END IF
     380             : 
     381             :          IF (do_symmetric) THEN
     382             :             IF (iatom <= jatom) THEN
     383             :                irow = iatom
     384             :                icol = jatom
     385             :             ELSE
     386             :                irow = jatom
     387             :                icol = iatom
     388             :             END IF
     389             :             f0 = 2.0_dp
     390             :             ff = 2.0_dp
     391             :             IF (iatom == jatom) f0 = 1.0_dp
     392             :          ELSE
     393             :             irow = iatom
     394             :             icol = jatom
     395             :             f0 = 1.0_dp
     396             :             ff = 1.0_dp
     397             :          END IF
     398             :          DO i = 1, maxs
     399             :             NULLIFY (sint(i)%block)
     400             :             IF (dokp) THEN
     401             :                CALL dbcsr_get_block_p(matrix=matrixkp_s(i, ic)%matrix, &
     402             :                                       row=irow, col=icol, BLOCK=sint(i)%block, found=found)
     403             :                CPASSERT(found)
     404             :             ELSE
     405             :                CALL dbcsr_get_block_p(matrix=matrix_s(i)%matrix, &
     406             :                                       row=irow, col=icol, BLOCK=sint(i)%block, found=found)
     407             :                CPASSERT(found)
     408             :             END IF
     409             :          END DO
     410             :          IF (do_forces) THEN
     411             :             NULLIFY (p_block)
     412             :             IF (dokp) THEN
     413             :                CALL dbcsr_get_block_p(matrix=matrixkp_p(1, ic)%matrix, &
     414             :                                       row=irow, col=icol, block=p_block, found=found)
     415             :                CPASSERT(found)
     416             :             ELSE
     417             :                CALL dbcsr_get_block_p(matrix=matrix_p, row=irow, col=icol, &
     418             :                                       block=p_block, found=found)
     419             :                CPASSERT(found)
     420             :             END IF
     421             :          END IF
     422             :          trans = do_symmetric .AND. (iatom > jatom)
     423             : 
     424             :          rab2 = rab(1)*rab(1) + rab(2)*rab(2) + rab(3)*rab(3)
     425             :          dab = SQRT(rab2)
     426             : 
     427             :          DO iset = 1, nseta
     428             : 
     429             :             ncoa = npgfa(iset)*ncoset(la_max(iset))
     430             :             n1 = npgfa(iset)*(ncoset(la_max(iset)) - ncoset(la_min(iset) - 1))
     431             :             sgfa = first_sgfa(1, iset)
     432             : 
     433             :             DO jset = 1, nsetb
     434             : 
     435             :                IF (set_radius_a(iset) + set_radius_b(jset) < dab) CYCLE
     436             : 
     437             : !$             hash2 = MOD((iset - 1)*nsetb + jset, nlock) + 1
     438             : !$             hash = MOD(hash1 + hash2, nlock) + 1
     439             : 
     440             :                ncob = npgfb(jset)*ncoset(lb_max(jset))
     441             :                n2 = npgfb(jset)*(ncoset(lb_max(jset)) - ncoset(lb_min(jset) - 1))
     442             :                sgfb = first_sgfb(1, jset)
     443             : 
     444             :                ! calculate integrals and derivatives
     445             :                SELECT CASE (nder)
     446             :                CASE (0)
     447             :                   CALL overlap_ab(la_max(iset), la_min(iset), npgfa(iset), rpgfa(:, iset), zeta(:, iset), &
     448             :                                   lb_max(jset), lb_min(jset), npgfb(jset), rpgfb(:, jset), zetb(:, jset), &
     449             :                                   rab, sab=oint(:, :, 1))
     450             :                CASE (1)
     451             :                   CALL overlap_ab(la_max(iset), la_min(iset), npgfa(iset), rpgfa(:, iset), zeta(:, iset), &
     452             :                                   lb_max(jset), lb_min(jset), npgfb(jset), rpgfb(:, jset), zetb(:, jset), &
     453             :                                   rab, sab=oint(:, :, 1), dab=oint(:, :, 2:4))
     454             :                CASE (2)
     455             :                   CALL overlap_ab(la_max(iset), la_min(iset), npgfa(iset), rpgfa(:, iset), zeta(:, iset), &
     456             :                                   lb_max(jset), lb_min(jset), npgfb(jset), rpgfb(:, jset), zetb(:, jset), &
     457             :                                   rab, sab=oint(:, :, 1), dab=oint(:, :, 2:4), ddab=oint(:, :, 5:10))
     458             :                CASE DEFAULT
     459             :                   CPABORT("")
     460             :                END SELECT
     461             :                IF (do_forces .AND. ASSOCIATED(p_block) .AND. ((iatom /= jatom) .OR. use_virial)) THEN
     462             :                   ! Decontract P matrix block
     463             :                   owork = 0.0_dp
     464             :                   CALL block_add("OUT", owork, nsgfa(iset), nsgfb(jset), p_block, sgfa, sgfb, trans=trans)
     465             :                   CALL decontraction(owork, pmat, scon_a(:, sgfa:), n1, nsgfa(iset), scon_b(:, sgfb:), n2, &
     466             :                                      nsgfb(jset), trans=trans)
     467             :                   CALL force_trace(force_a, oint(:, :, 2:4), pmat, n1, n2, 3)
     468             :                   force_thread(:, iatom) = force_thread(:, iatom) - ff*force_a(:)
     469             :                   force_thread(:, jatom) = force_thread(:, jatom) + ff*force_a(:)
     470             :                   IF (use_virial) THEN
     471             :                      CALL virial_pair_force(pv_thread, -f0, force_a, rab)
     472             :                   END IF
     473             :                END IF
     474             :                ! Contraction
     475             :                DO i = 1, maxs
     476             :                   f = 1.0_dp
     477             :                   IF (ndod(i) == 1 .AND. trans) f = -1.0_dp
     478             :                   CALL contraction(oint(:, :, i), owork, ca=scon_a(:, sgfa:), na=n1, ma=nsgfa(iset), &
     479             :                                    cb=scon_b(:, sgfb:), nb=n2, mb=nsgfb(jset), fscale=f, trans=trans)
     480             : !$                CALL omp_set_lock(locks(hash))
     481             :                   CALL block_add("IN", owork, nsgfa(iset), nsgfb(jset), sint(i)%block, &
     482             :                                  sgfa, sgfb, trans=trans)
     483             : !$                CALL omp_unset_lock(locks(hash))
     484             :                END DO
     485             : 
     486             :             END DO
     487             :          END DO
     488             : 
     489             :       END DO
     490             :       IF (do_forces) DEALLOCATE (pmat)
     491             :       DEALLOCATE (oint, owork)
     492             :       DEALLOCATE (sint)
     493             : !$OMP DO
     494             : !$    DO lock_num = 1, nlock
     495             : !$       call omp_destroy_lock(locks(lock_num))
     496             : !$    END DO
     497             : !$OMP END DO
     498             : 
     499             : !$OMP SINGLE
     500             : !$    DEALLOCATE (locks)
     501             : !$OMP END SINGLE NOWAIT
     502             : 
     503             : !$OMP END PARALLEL
     504             : 
     505       33116 :       IF (do_forces) THEN
     506        9217 :          CALL get_atomic_kind_set(atomic_kind_set, atom_of_kind=atom_of_kind, kind_of=kind_of)
     507             : !$OMP DO
     508             :          DO iatom = 1, natom
     509       32577 :             atom_a = atom_of_kind(iatom)
     510       32577 :             ikind = kind_of(iatom)
     511      130308 :             force(ikind)%overlap(:, atom_a) = force(ikind)%overlap(:, atom_a) + force_thread(:, iatom)
     512             :          END DO
     513             : !$OMP END DO
     514             :       END IF
     515        9217 :       IF (do_forces .AND. use_virial) THEN
     516       10686 :          virial%pv_overlap = virial%pv_overlap + pv_thread
     517       10686 :          virial%pv_virial = virial%pv_virial + pv_thread
     518             :       END IF
     519             : 
     520       33116 :       IF (dokp) THEN
     521       42158 :          DO i = 1, maxs
     522      101671 :             DO ic = 1, nimg
     523       59513 :                CALL dbcsr_finalize(matrixkp_s(i, ic)%matrix)
     524             :                CALL dbcsr_filter(matrixkp_s(i, ic)%matrix, &
     525       82866 :                                  dft_control%qs_control%eps_filter_matrix)
     526             :             END DO
     527             :          END DO
     528             :       ELSE
     529       42644 :          DO i = 1, maxs
     530       28333 :             CALL dbcsr_finalize(matrix_s(i)%matrix)
     531             :             CALL dbcsr_filter(matrix_s(i)%matrix, &
     532       42644 :                               dft_control%qs_control%eps_filter_matrix)
     533             :          END DO
     534             :       END IF
     535             : 
     536             :       ! *** Release work storage ***
     537       33116 :       DEALLOCATE (basis_set_list_a, basis_set_list_b)
     538             : 
     539       33116 :       CALL timestop(handle)
     540             : 
     541       99348 :    END SUBROUTINE build_overlap_matrix_low
     542             : 
     543             : ! **************************************************************************************************
     544             : !> \brief   Calculation of the overlap matrix over Cartesian Gaussian functions.
     545             : !> \param   ks_env the QS env
     546             : !> \param   matrix_s The overlap matrix to be calculated
     547             : !> \param   basis_set_list_a basis set list to be used for bra in <a|b>
     548             : !> \param   basis_set_list_b basis set list to be used for ket in <a|b>
     549             : !> \param   sab_nl pair list (must be consistent with basis sets!)
     550             : !> \date    11.03.2016
     551             : !> \par     History
     552             : !>          Simplified version of build_overlap_matrix
     553             : !> \author  MK
     554             : !> \version 1.0
     555             : ! **************************************************************************************************
     556         142 :    SUBROUTINE build_overlap_matrix_simple(ks_env, matrix_s, &
     557             :                                           basis_set_list_a, basis_set_list_b, sab_nl)
     558             : 
     559             :       TYPE(qs_ks_env_type), POINTER                      :: ks_env
     560             :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_s
     561             :       TYPE(gto_basis_set_p_type), DIMENSION(:), POINTER  :: basis_set_list_a, basis_set_list_b
     562             :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     563             :          POINTER                                         :: sab_nl
     564             : 
     565             :       CHARACTER(len=*), PARAMETER :: routineN = 'build_overlap_matrix_simple'
     566             : 
     567             :       INTEGER                                            :: handle, iatom, icol, ikind, irow, iset, &
     568             :                                                             jatom, jkind, jset, ldsab, m1, m2, n1, &
     569             :                                                             n2, natom, ncoa, ncob, nkind, nseta, &
     570             :                                                             nsetb, sgfa, sgfb, slot
     571         142 :       INTEGER, DIMENSION(:), POINTER                     :: la_max, la_min, lb_max, lb_min, npgfa, &
     572         142 :                                                             npgfb, nsgfa, nsgfb
     573         142 :       INTEGER, DIMENSION(:, :), POINTER                  :: first_sgfa, first_sgfb
     574             :       LOGICAL                                            :: do_symmetric, found, trans
     575             :       REAL(KIND=dp)                                      :: dab, rab2
     576         142 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: owork
     577         142 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :)     :: oint
     578             :       REAL(KIND=dp), DIMENSION(3)                        :: rab
     579         142 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: set_radius_a, set_radius_b
     580         142 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: rpgfa, rpgfb, scon_a, scon_b, zeta, zetb
     581         142 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     582         142 :       TYPE(block_p_type), ALLOCATABLE, DIMENSION(:)      :: sint
     583             :       TYPE(dft_control_type), POINTER                    :: dft_control
     584             :       TYPE(gto_basis_set_type), POINTER                  :: basis_set_a, basis_set_b
     585         142 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     586             : 
     587             : !$    INTEGER(kind=omp_lock_kind), &
     588         142 : !$       ALLOCATABLE, DIMENSION(:) :: locks
     589             : !$    INTEGER                                            :: lock_num, hash, hash1, hash2
     590             : !$    INTEGER(KIND=int_8)                                :: iatom8
     591             : !$    INTEGER, PARAMETER                                 :: nlock = 501
     592             : 
     593         142 :       NULLIFY (dft_control)
     594             : 
     595         142 :       CALL timeset(routineN, handle)
     596             : 
     597         142 :       NULLIFY (atomic_kind_set)
     598             :       CALL get_ks_env(ks_env, &
     599             :                       atomic_kind_set=atomic_kind_set, &
     600             :                       natom=natom, &
     601             :                       qs_kind_set=qs_kind_set, &
     602         142 :                       dft_control=dft_control)
     603             : 
     604             :       ! check for symmetry
     605         142 :       CPASSERT(SIZE(sab_nl) > 0)
     606         142 :       CALL get_neighbor_list_set_p(neighbor_list_sets=sab_nl, symmetric=do_symmetric)
     607             : 
     608         142 :       nkind = SIZE(qs_kind_set)
     609             : 
     610         142 :       CALL dbcsr_allocate_matrix_set(matrix_s, 1)
     611             :       CALL create_sab_matrix(ks_env, matrix_s, "Matrix", basis_set_list_a, basis_set_list_b, &
     612         142 :                              sab_nl, do_symmetric)
     613             : 
     614         142 :       ldsab = 0
     615         418 :       DO ikind = 1, nkind
     616         276 :          basis_set_a => basis_set_list_a(ikind)%gto_basis_set
     617         276 :          CALL get_gto_basis_set(gto_basis_set=basis_set_a, maxco=m1, nsgf=m2)
     618         276 :          ldsab = MAX(m1, m2, ldsab)
     619         276 :          basis_set_b => basis_set_list_b(ikind)%gto_basis_set
     620         276 :          CALL get_gto_basis_set(gto_basis_set=basis_set_b, maxco=m1, nsgf=m2)
     621         418 :          ldsab = MAX(m1, m2, ldsab)
     622             :       END DO
     623             : 
     624             : !$OMP PARALLEL DEFAULT(NONE) &
     625             : !$OMP SHARED (ldsab,sab_nl,do_symmetric,ncoset,natom,&
     626             : !$OMP         matrix_s,basis_set_list_a,basis_set_list_b,locks)  &
     627             : !$OMP PRIVATE (oint,owork,sint,ikind,jkind,iatom,jatom,rab,basis_set_a,basis_set_b,&
     628             : !$OMP          first_sgfa, la_max, la_min, npgfa, nsgfa, nseta, rpgfa, set_radius_a, ncoa, ncob, &
     629             : !$OMP          zeta, first_sgfb, lb_max, lb_min, npgfb, nsetb, rpgfb, set_radius_b, nsgfb, dab, &
     630             : !$OMP          zetb, scon_a, scon_b, irow, icol, found, trans, rab2, n1, n2, sgfa, sgfb, iset, jset, &
     631         142 : !$OMP          slot, lock_num, hash, hash1, hash2, iatom8 )
     632             : 
     633             : !$OMP SINGLE
     634             : !$    ALLOCATE (locks(nlock))
     635             : !$OMP END SINGLE
     636             : 
     637             : !$OMP DO
     638             : !$    DO lock_num = 1, nlock
     639             : !$       call omp_init_lock(locks(lock_num))
     640             : !$    END DO
     641             : !$OMP END DO
     642             : 
     643             :       ALLOCATE (oint(ldsab, ldsab, 1), owork(ldsab, ldsab))
     644             :       ALLOCATE (sint(1))
     645             :       NULLIFY (sint(1)%block)
     646             : 
     647             : !$OMP DO SCHEDULE(GUIDED)
     648             :       DO slot = 1, sab_nl(1)%nl_size
     649             :          ikind = sab_nl(1)%nlist_task(slot)%ikind
     650             :          jkind = sab_nl(1)%nlist_task(slot)%jkind
     651             :          iatom = sab_nl(1)%nlist_task(slot)%iatom
     652             :          jatom = sab_nl(1)%nlist_task(slot)%jatom
     653             :          rab(1:3) = sab_nl(1)%nlist_task(slot)%r(1:3)
     654             : !$       iatom8 = (iatom - 1)*natom + jatom
     655             : !$       hash1 = INT(MOD(iatom8, INT(nlock, int_8)) + 1)
     656             : 
     657             :          basis_set_a => basis_set_list_a(ikind)%gto_basis_set
     658             :          IF (.NOT. ASSOCIATED(basis_set_a)) CYCLE
     659             :          basis_set_b => basis_set_list_b(jkind)%gto_basis_set
     660             :          IF (.NOT. ASSOCIATED(basis_set_b)) CYCLE
     661             :          ! basis ikind
     662             :          first_sgfa => basis_set_a%first_sgf
     663             :          la_max => basis_set_a%lmax
     664             :          la_min => basis_set_a%lmin
     665             :          npgfa => basis_set_a%npgf
     666             :          nseta = basis_set_a%nset
     667             :          nsgfa => basis_set_a%nsgf_set
     668             :          rpgfa => basis_set_a%pgf_radius
     669             :          set_radius_a => basis_set_a%set_radius
     670             :          scon_a => basis_set_a%scon
     671             :          zeta => basis_set_a%zet
     672             :          ! basis jkind
     673             :          first_sgfb => basis_set_b%first_sgf
     674             :          lb_max => basis_set_b%lmax
     675             :          lb_min => basis_set_b%lmin
     676             :          npgfb => basis_set_b%npgf
     677             :          nsetb = basis_set_b%nset
     678             :          nsgfb => basis_set_b%nsgf_set
     679             :          rpgfb => basis_set_b%pgf_radius
     680             :          set_radius_b => basis_set_b%set_radius
     681             :          scon_b => basis_set_b%scon
     682             :          zetb => basis_set_b%zet
     683             : 
     684             :          IF (do_symmetric) THEN
     685             :             IF (iatom <= jatom) THEN
     686             :                irow = iatom
     687             :                icol = jatom
     688             :             ELSE
     689             :                irow = jatom
     690             :                icol = iatom
     691             :             END IF
     692             :          ELSE
     693             :             irow = iatom
     694             :             icol = jatom
     695             :          END IF
     696             : 
     697             :          NULLIFY (sint(1)%block)
     698             :          CALL dbcsr_get_block_p(matrix=matrix_s(1)%matrix, &
     699             :                                 row=irow, col=icol, BLOCK=sint(1)%block, found=found)
     700             :          CPASSERT(found)
     701             :          trans = do_symmetric .AND. (iatom > jatom)
     702             : 
     703             :          rab2 = rab(1)*rab(1) + rab(2)*rab(2) + rab(3)*rab(3)
     704             :          dab = SQRT(rab2)
     705             : 
     706             :          DO iset = 1, nseta
     707             : 
     708             :             ncoa = npgfa(iset)*ncoset(la_max(iset))
     709             :             n1 = npgfa(iset)*(ncoset(la_max(iset)) - ncoset(la_min(iset) - 1))
     710             :             sgfa = first_sgfa(1, iset)
     711             : 
     712             :             DO jset = 1, nsetb
     713             : 
     714             :                IF (set_radius_a(iset) + set_radius_b(jset) < dab) CYCLE
     715             : 
     716             : !$             hash2 = MOD((iset - 1)*nsetb + jset, nlock) + 1
     717             : !$             hash = MOD(hash1 + hash2, nlock) + 1
     718             : 
     719             :                ncob = npgfb(jset)*ncoset(lb_max(jset))
     720             :                n2 = npgfb(jset)*(ncoset(lb_max(jset)) - ncoset(lb_min(jset) - 1))
     721             :                sgfb = first_sgfb(1, jset)
     722             : 
     723             :                ! calculate integrals and derivatives
     724             :                CALL overlap_ab(la_max(iset), la_min(iset), npgfa(iset), rpgfa(:, iset), zeta(:, iset), &
     725             :                                lb_max(jset), lb_min(jset), npgfb(jset), rpgfb(:, jset), zetb(:, jset), &
     726             :                                rab, sab=oint(:, :, 1))
     727             :                ! Contraction
     728             :                CALL contraction(oint(:, :, 1), owork, ca=scon_a(:, sgfa:), na=n1, ma=nsgfa(iset), &
     729             :                                 cb=scon_b(:, sgfb:), nb=n2, mb=nsgfb(jset), fscale=1.0_dp, trans=trans)
     730             : !$OMP CRITICAL(blockadd)
     731             :                CALL block_add("IN", owork, nsgfa(iset), nsgfb(jset), sint(1)%block, &
     732             :                               sgfa, sgfb, trans=trans)
     733             : !$OMP END CRITICAL(blockadd)
     734             : 
     735             :             END DO
     736             :          END DO
     737             : 
     738             :       END DO
     739             :       DEALLOCATE (oint, owork)
     740             :       DEALLOCATE (sint)
     741             : !$OMP DO
     742             : !$    DO lock_num = 1, nlock
     743             : !$       call omp_destroy_lock(locks(lock_num))
     744             : !$    END DO
     745             : !$OMP END DO
     746             : 
     747             : !$OMP SINGLE
     748             : !$    DEALLOCATE (locks)
     749             : !$OMP END SINGLE NOWAIT
     750             : 
     751             : !$OMP END PARALLEL
     752             : 
     753         142 :       CALL dbcsr_finalize(matrix_s(1)%matrix)
     754         142 :       CALL dbcsr_filter(matrix_s(1)%matrix, dft_control%qs_control%eps_filter_matrix)
     755             : 
     756         142 :       CALL timestop(handle)
     757             : 
     758         284 :    END SUBROUTINE build_overlap_matrix_simple
     759             : 
     760             : ! **************************************************************************************************
     761             : !> \brief   Calculation of the force contribution from an overlap matrix
     762             : !>          over Cartesian Gaussian functions.
     763             : !> \param   ks_env the QS environment
     764             : !> \param   force holds the calcuated force Tr(P dS/dR)
     765             : !> \param   basis_type_a basis set to be used for bra in <a|b>
     766             : !> \param   basis_type_b basis set to be used for ket in <a|b>
     767             : !> \param   sab_nl pair list (must be consistent with basis sets!)
     768             : !> \param   matrix_p density matrix for force calculation
     769             : !> \param matrixkp_p ...
     770             : !> \date    11.03.2002
     771             : !> \par     History
     772             : !>          Enlarged functionality of this routine. Now overlap matrices based
     773             : !>          on different basis sets can be calculated, taking into account also
     774             : !>          mixed overlaps NOTE: the pointer to the overlap matrix must now be
     775             : !>          put into its corresponding env outside of this routine
     776             : !>          [Manuel Guidon]
     777             : !>          Generalized for derivatives and force calculations [JHU]
     778             : !>          This special version is only for forces [07.07.2014, JGH]
     779             : !> \author  MK/JGH
     780             : !> \version 1.0
     781             : ! **************************************************************************************************
     782        2230 :    SUBROUTINE build_overlap_force(ks_env, force, basis_type_a, basis_type_b, &
     783        2230 :                                   sab_nl, matrix_p, matrixkp_p)
     784             : 
     785             :       TYPE(qs_ks_env_type), POINTER                      :: ks_env
     786             :       REAL(KIND=dp), DIMENSION(:, :), INTENT(INOUT)      :: force
     787             :       CHARACTER(LEN=*), INTENT(IN)                       :: basis_type_a, basis_type_b
     788             :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     789             :          POINTER                                         :: sab_nl
     790             :       TYPE(dbcsr_type), OPTIONAL                         :: matrix_p
     791             :       TYPE(dbcsr_p_type), DIMENSION(:), OPTIONAL         :: matrixkp_p
     792             : 
     793             :       CHARACTER(len=*), PARAMETER :: routineN = 'build_overlap_force'
     794             : 
     795             :       INTEGER :: handle, iatom, ic, icol, ikind, irow, iset, jatom, jkind, jset, ldsab, n1, n2, &
     796             :          natom, ncoa, ncob, nder, nimg, nkind, nseta, nsetb, sgfa, sgfb, slot
     797             :       INTEGER, DIMENSION(3)                              :: cell
     798        2230 :       INTEGER, DIMENSION(:), POINTER                     :: la_max, la_min, lb_max, lb_min, npgfa, &
     799        2230 :                                                             npgfb, nsgfa, nsgfb
     800        2230 :       INTEGER, DIMENSION(:, :), POINTER                  :: first_sgfa, first_sgfb
     801        2230 :       INTEGER, DIMENSION(:, :, :), POINTER               :: cell_to_index
     802             :       LOGICAL                                            :: do_symmetric, dokp, found, trans, &
     803             :                                                             use_cell_mapping, use_virial
     804             :       REAL(KIND=dp)                                      :: dab, f0, ff, rab2
     805        2230 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: pab, sab
     806        2230 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :)     :: drab
     807             :       REAL(KIND=dp), DIMENSION(3)                        :: force_a, rab
     808             :       REAL(KIND=dp), DIMENSION(3, 3)                     :: virial_thread
     809        2230 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: set_radius_a, set_radius_b
     810        4460 :       REAL(KIND=dp), DIMENSION(3, SIZE(force, 2))        :: force_thread
     811        2230 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: p_block, rpgfa, rpgfb, scon_a, scon_b, &
     812        2230 :                                                             zeta, zetb
     813             :       TYPE(dft_control_type), POINTER                    :: dft_control
     814        2230 :       TYPE(gto_basis_set_p_type), DIMENSION(:), POINTER  :: basis_set_list_a, basis_set_list_b
     815             :       TYPE(gto_basis_set_type), POINTER                  :: basis_set_a, basis_set_b
     816             :       TYPE(kpoint_type), POINTER                         :: kpoints
     817        2230 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     818             :       TYPE(virial_type), POINTER                         :: virial
     819             : 
     820        2230 :       CALL timeset(routineN, handle)
     821             : 
     822        2230 :       NULLIFY (qs_kind_set)
     823        2230 :       CALL get_ks_env(ks_env=ks_env, qs_kind_set=qs_kind_set, dft_control=dft_control)
     824        2230 :       nimg = dft_control%nimages
     825             : 
     826             :       ! test for matrices (kpoints or standard gamma point)
     827        2230 :       IF (PRESENT(matrix_p)) THEN
     828             :          dokp = .FALSE.
     829             :          use_cell_mapping = .FALSE.
     830          58 :       ELSEIF (PRESENT(matrixkp_p)) THEN
     831          58 :          dokp = .TRUE.
     832          58 :          CALL get_ks_env(ks_env=ks_env, kpoints=kpoints)
     833          58 :          CALL get_kpoint_info(kpoint=kpoints, cell_to_index=cell_to_index)
     834         232 :          use_cell_mapping = (SIZE(cell_to_index) > 1)
     835             :       ELSE
     836           0 :          CPABORT("")
     837             :       END IF
     838             : 
     839        2230 :       nkind = SIZE(qs_kind_set)
     840        2230 :       nder = 1
     841             : 
     842             :       ! check for symmetry
     843        2230 :       CPASSERT(SIZE(sab_nl) > 0)
     844        2230 :       CALL get_neighbor_list_set_p(neighbor_list_sets=sab_nl, symmetric=do_symmetric)
     845             : 
     846        2230 :       CALL get_ks_env(ks_env=ks_env, virial=virial)
     847        2230 :       use_virial = virial%pv_availability .AND. (.NOT. virial%pv_numer)
     848        2230 :       virial_thread = 0.0_dp
     849             : 
     850             :       ! set up basis sets
     851       16892 :       ALLOCATE (basis_set_list_a(nkind), basis_set_list_b(nkind))
     852        2230 :       CALL basis_set_list_setup(basis_set_list_a, basis_type_a, qs_kind_set)
     853        2230 :       CALL basis_set_list_setup(basis_set_list_b, basis_type_b, qs_kind_set)
     854        2230 :       ldsab = get_memory_usage(qs_kind_set, basis_type_a, basis_type_b)
     855             : 
     856        2230 :       natom = SIZE(force, 2)
     857       27718 :       force_thread = 0.0_dp
     858             : 
     859             : !$OMP PARALLEL DEFAULT(NONE) &
     860             : !$OMP SHARED (ldsab, do_symmetric, ncoset, nder, use_virial, force, virial, ndod, sab_nl, cell_to_index, &
     861             : !$OMP         matrix_p, basis_set_list_a, basis_set_list_b, dokp, use_cell_mapping, nimg, matrixkp_p)  &
     862             : !$OMP PRIVATE (ikind, jkind, iatom, jatom, rab, ic, &
     863             : !$OMP          basis_set_a, basis_set_b, sab, pab, drab, &
     864             : !$OMP          first_sgfa, la_max, la_min, npgfa, nsgfa, nseta, rpgfa, set_radius_a, ncoa, ncob, force_a, &
     865             : !$OMP          zeta, first_sgfb, lb_max, lb_min, npgfb, nsetb, rpgfb, set_radius_b, nsgfb, p_block, dab, &
     866             : !$OMP          zetb, scon_a, scon_b, irow, icol, f0, ff, found, trans, rab2, n1, n2, sgfa, sgfb, iset, jset, &
     867             : !$OMP          slot, cell) &
     868        2230 : !$OMP REDUCTION (+ : virial_thread, force_thread )
     869             : 
     870             :       ! *** Allocate work storage ***
     871             :       ALLOCATE (sab(ldsab, ldsab), pab(ldsab, ldsab))
     872             :       ALLOCATE (drab(ldsab, ldsab, 3))
     873             : 
     874             :       ! Loop over neighbor list
     875             : !$OMP DO SCHEDULE(GUIDED)
     876             :       DO slot = 1, sab_nl(1)%nl_size
     877             :          ikind = sab_nl(1)%nlist_task(slot)%ikind
     878             :          jkind = sab_nl(1)%nlist_task(slot)%jkind
     879             :          iatom = sab_nl(1)%nlist_task(slot)%iatom
     880             :          jatom = sab_nl(1)%nlist_task(slot)%jatom
     881             :          cell(:) = sab_nl(1)%nlist_task(slot)%cell(:)
     882             :          rab(1:3) = sab_nl(1)%nlist_task(slot)%r(1:3)
     883             : 
     884             :          basis_set_a => basis_set_list_a(ikind)%gto_basis_set
     885             :          IF (.NOT. ASSOCIATED(basis_set_a)) CYCLE
     886             :          basis_set_b => basis_set_list_b(jkind)%gto_basis_set
     887             :          IF (.NOT. ASSOCIATED(basis_set_b)) CYCLE
     888             :          ! basis ikind
     889             :          first_sgfa => basis_set_a%first_sgf
     890             :          la_max => basis_set_a%lmax
     891             :          la_min => basis_set_a%lmin
     892             :          npgfa => basis_set_a%npgf
     893             :          nseta = basis_set_a%nset
     894             :          nsgfa => basis_set_a%nsgf_set
     895             :          rpgfa => basis_set_a%pgf_radius
     896             :          set_radius_a => basis_set_a%set_radius
     897             :          scon_a => basis_set_a%scon
     898             :          zeta => basis_set_a%zet
     899             :          ! basis jkind
     900             :          first_sgfb => basis_set_b%first_sgf
     901             :          lb_max => basis_set_b%lmax
     902             :          lb_min => basis_set_b%lmin
     903             :          npgfb => basis_set_b%npgf
     904             :          nsetb = basis_set_b%nset
     905             :          nsgfb => basis_set_b%nsgf_set
     906             :          rpgfb => basis_set_b%pgf_radius
     907             :          set_radius_b => basis_set_b%set_radius
     908             :          scon_b => basis_set_b%scon
     909             :          zetb => basis_set_b%zet
     910             : 
     911             :          IF (use_cell_mapping) THEN
     912             :             ic = cell_to_index(cell(1), cell(2), cell(3))
     913             :             IF (ic < 1 .OR. ic > nimg) CYCLE
     914             :          ELSE
     915             :             ic = 1
     916             :          END IF
     917             : 
     918             :          IF (do_symmetric) THEN
     919             :             IF (iatom <= jatom) THEN
     920             :                irow = iatom
     921             :                icol = jatom
     922             :             ELSE
     923             :                irow = jatom
     924             :                icol = iatom
     925             :             END IF
     926             :             f0 = 2.0_dp
     927             :             IF (iatom == jatom) f0 = 1.0_dp
     928             :             ff = 2.0_dp
     929             :          ELSE
     930             :             irow = iatom
     931             :             icol = jatom
     932             :             f0 = 1.0_dp
     933             :             ff = 1.0_dp
     934             :          END IF
     935             :          NULLIFY (p_block)
     936             :          IF (dokp) THEN
     937             :             CALL dbcsr_get_block_p(matrix=matrixkp_p(ic)%matrix, row=irow, col=icol, &
     938             :                                    block=p_block, found=found)
     939             :          ELSE
     940             :             CALL dbcsr_get_block_p(matrix=matrix_p, row=irow, col=icol, &
     941             :                                    block=p_block, found=found)
     942             :          END IF
     943             : 
     944             :          trans = do_symmetric .AND. (iatom > jatom)
     945             : 
     946             :          rab2 = rab(1)*rab(1) + rab(2)*rab(2) + rab(3)*rab(3)
     947             :          dab = SQRT(rab2)
     948             : 
     949             :          DO iset = 1, nseta
     950             : 
     951             :             ncoa = npgfa(iset)*ncoset(la_max(iset))
     952             :             n1 = npgfa(iset)*(ncoset(la_max(iset)) - ncoset(la_min(iset) - 1))
     953             :             sgfa = first_sgfa(1, iset)
     954             : 
     955             :             DO jset = 1, nsetb
     956             : 
     957             :                IF (set_radius_a(iset) + set_radius_b(jset) < dab) CYCLE
     958             : 
     959             :                ncob = npgfb(jset)*ncoset(lb_max(jset))
     960             :                n2 = npgfb(jset)*(ncoset(lb_max(jset)) - ncoset(lb_min(jset) - 1))
     961             :                sgfb = first_sgfb(1, jset)
     962             : 
     963             :                IF (ASSOCIATED(p_block) .AND. ((iatom /= jatom) .OR. use_virial)) THEN
     964             :                   ! Decontract P matrix block
     965             :                   sab = 0.0_dp
     966             :                   CALL block_add("OUT", sab, nsgfa(iset), nsgfb(jset), p_block, sgfa, sgfb, trans=trans)
     967             :                   CALL decontraction(sab, pab, scon_a(:, sgfa:), n1, nsgfa(iset), scon_b(:, sgfb:), n2, &
     968             :                                      nsgfb(jset), trans=trans)
     969             :                   ! calculate integrals and derivatives
     970             :                   CALL overlap_ab(la_max(iset), la_min(iset), npgfa(iset), rpgfa(:, iset), zeta(:, iset), &
     971             :                                   lb_max(jset), lb_min(jset), npgfb(jset), rpgfb(:, jset), zetb(:, jset), &
     972             :                                   rab, dab=drab)
     973             :                   CALL force_trace(force_a, drab, pab, n1, n2, 3)
     974             :                   force_thread(1:3, iatom) = force_thread(1:3, iatom) - ff*force_a(1:3)
     975             :                   force_thread(1:3, jatom) = force_thread(1:3, jatom) + ff*force_a(1:3)
     976             :                   IF (use_virial) THEN
     977             :                      CALL virial_pair_force(virial_thread, -f0, force_a, rab)
     978             :                   END IF
     979             :                END IF
     980             : 
     981             :             END DO
     982             :          END DO
     983             : 
     984             :       END DO
     985             :       DEALLOCATE (sab, pab, drab)
     986             : !$OMP END PARALLEL
     987             : 
     988             : !$OMP PARALLEL DEFAULT(NONE) &
     989        2230 : !$OMP SHARED(force,force_thread,natom)
     990             : !$OMP WORKSHARE
     991             :       force(1:3, 1:natom) = force(1:3, 1:natom) + force_thread(1:3, 1:natom)
     992             : !$OMP END WORKSHARE
     993             : !$OMP END PARALLEL
     994        2230 :       IF (use_virial) THEN
     995        3432 :          virial%pv_virial = virial%pv_virial + virial_thread
     996        3432 :          virial%pv_overlap = virial%pv_overlap + virial_thread
     997             :       END IF
     998             : 
     999        2230 :       DEALLOCATE (basis_set_list_a, basis_set_list_b)
    1000             : 
    1001        2230 :       CALL timestop(handle)
    1002             : 
    1003        6690 :    END SUBROUTINE build_overlap_force
    1004             : 
    1005             : ! **************************************************************************************************
    1006             : !> \brief Setup the structure of a sparse matrix based on the overlap
    1007             : !>        neighbor list
    1008             : !> \param ks_env         The QS environment
    1009             : !> \param matrix_s       Matrices to be constructed
    1010             : !> \param matrix_name    Matrix base name
    1011             : !> \param basis_set_list_a Basis set used for <a|
    1012             : !> \param basis_set_list_b Basis set used for |b>
    1013             : !> \param sab_nl         Overlap neighbor list
    1014             : !> \param symmetric      Is symmetry used in the neighbor list?
    1015             : ! **************************************************************************************************
    1016       15789 :    SUBROUTINE create_sab_matrix_1d(ks_env, matrix_s, matrix_name, &
    1017             :                                    basis_set_list_a, basis_set_list_b, sab_nl, symmetric)
    1018             : 
    1019             :       TYPE(qs_ks_env_type), POINTER                      :: ks_env
    1020             :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_s
    1021             :       CHARACTER(LEN=*), INTENT(IN), OPTIONAL             :: matrix_name
    1022             :       TYPE(gto_basis_set_p_type), DIMENSION(:), POINTER  :: basis_set_list_a, basis_set_list_b
    1023             :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
    1024             :          POINTER                                         :: sab_nl
    1025             :       LOGICAL, INTENT(IN)                                :: symmetric
    1026             : 
    1027             :       CHARACTER(LEN=12)                                  :: cgfsym
    1028             :       CHARACTER(LEN=32)                                  :: symmetry_string
    1029             :       CHARACTER(LEN=default_string_length)               :: mname, name
    1030             :       INTEGER                                            :: i, maxs, natom
    1031       15789 :       INTEGER, DIMENSION(:), POINTER                     :: col_blk_sizes, row_blk_sizes
    1032             :       TYPE(dbcsr_distribution_type), POINTER             :: dbcsr_dist
    1033       15789 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
    1034       15789 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
    1035             : 
    1036             :       CALL get_ks_env(ks_env=ks_env, particle_set=particle_set, &
    1037       15789 :                       qs_kind_set=qs_kind_set, dbcsr_dist=dbcsr_dist)
    1038             : 
    1039       15789 :       natom = SIZE(particle_set)
    1040             : 
    1041       15789 :       IF (PRESENT(matrix_name)) THEN
    1042       13403 :          mname = matrix_name
    1043             :       ELSE
    1044        2386 :          mname = "DUMMY"
    1045             :       END IF
    1046             : 
    1047       15789 :       maxs = SIZE(matrix_s)
    1048             : 
    1049       63156 :       ALLOCATE (row_blk_sizes(natom), col_blk_sizes(natom))
    1050             : 
    1051             :       CALL get_particle_set(particle_set, qs_kind_set, nsgf=row_blk_sizes, &
    1052       15789 :                             basis=basis_set_list_a)
    1053             :       CALL get_particle_set(particle_set, qs_kind_set, nsgf=col_blk_sizes, &
    1054       15789 :                             basis=basis_set_list_b)
    1055             : 
    1056             :       ! prepare for allocation
    1057       15789 :       IF (symmetric) THEN
    1058       15501 :          symmetry_string = dbcsr_type_symmetric
    1059             :       ELSE
    1060         288 :          symmetry_string = dbcsr_type_no_symmetry
    1061             :       END IF
    1062             : 
    1063       45672 :       DO i = 1, maxs
    1064       29883 :          IF (symmetric) THEN
    1065       29595 :             IF (ndod(i) == 1) THEN
    1066             :                ! odd derivatives are anti-symmetric
    1067       12546 :                symmetry_string = dbcsr_type_antisymmetric
    1068             :             ELSE
    1069       17049 :                symmetry_string = dbcsr_type_symmetric
    1070             :             END IF
    1071             :          ELSE
    1072         288 :             symmetry_string = dbcsr_type_no_symmetry
    1073             :          END IF
    1074       29883 :          cgfsym = cgf_symbol(1, indco(1:3, i))
    1075       29883 :          IF (i == 1) THEN
    1076       15789 :             name = mname
    1077             :          ELSE
    1078             :             name = TRIM(cgfsym(4:))//" DERIVATIVE OF THE "//TRIM(mname)// &
    1079       14094 :                    " W.R.T. THE NUCLEAR COORDINATES"
    1080             :          END IF
    1081       29883 :          CALL compress(name)
    1082       29883 :          CALL uppercase(name)
    1083       29883 :          ALLOCATE (matrix_s(i)%matrix)
    1084             :          CALL dbcsr_create(matrix=matrix_s(i)%matrix, &
    1085             :                            name=TRIM(name), &
    1086             :                            dist=dbcsr_dist, matrix_type=symmetry_string, &
    1087             :                            row_blk_size=row_blk_sizes, col_blk_size=col_blk_sizes, &
    1088       29883 :                            nze=0)
    1089       45672 :          CALL cp_dbcsr_alloc_block_from_nbl(matrix_s(i)%matrix, sab_nl)
    1090             :       END DO
    1091             : 
    1092       15789 :       DEALLOCATE (row_blk_sizes, col_blk_sizes)
    1093             : 
    1094       15789 :    END SUBROUTINE create_sab_matrix_1d
    1095             : 
    1096             : ! **************************************************************************************************
    1097             : !> \brief Setup the structure of a sparse matrix based on the overlap
    1098             : !>        neighbor list, 2d version
    1099             : !> \param ks_env         The QS environment
    1100             : !> \param matrix_s       Matrices to be constructed
    1101             : !> \param matrix_name    Matrix base name
    1102             : !> \param basis_set_list_a Basis set used for <a|
    1103             : !> \param basis_set_list_b Basis set used for |b>
    1104             : !> \param sab_nl         Overlap neighbor list
    1105             : !> \param symmetric      Is symmetry used in the neighbor list?
    1106             : ! **************************************************************************************************
    1107       39674 :    SUBROUTINE create_sab_matrix_2d(ks_env, matrix_s, matrix_name, &
    1108             :                                    basis_set_list_a, basis_set_list_b, sab_nl, symmetric)
    1109             : 
    1110             :       TYPE(qs_ks_env_type), POINTER                      :: ks_env
    1111             :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: matrix_s
    1112             :       CHARACTER(LEN=*), INTENT(IN), OPTIONAL             :: matrix_name
    1113             :       TYPE(gto_basis_set_p_type), DIMENSION(:), POINTER  :: basis_set_list_a, basis_set_list_b
    1114             :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
    1115             :          POINTER                                         :: sab_nl
    1116             :       LOGICAL, INTENT(IN)                                :: symmetric
    1117             : 
    1118             :       CHARACTER(LEN=12)                                  :: cgfsym
    1119             :       CHARACTER(LEN=32)                                  :: symmetry_string
    1120             :       CHARACTER(LEN=default_string_length)               :: mname, name
    1121             :       INTEGER                                            :: i1, i2, natom
    1122       39674 :       INTEGER, DIMENSION(:), POINTER                     :: col_blk_sizes, row_blk_sizes
    1123             :       TYPE(dbcsr_distribution_type), POINTER             :: dbcsr_dist
    1124       39674 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
    1125       39674 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
    1126             : 
    1127             :       CALL get_ks_env(ks_env=ks_env, particle_set=particle_set, &
    1128       39674 :                       qs_kind_set=qs_kind_set, dbcsr_dist=dbcsr_dist)
    1129             : 
    1130       39674 :       natom = SIZE(particle_set)
    1131             : 
    1132       39674 :       IF (PRESENT(matrix_name)) THEN
    1133       39674 :          mname = matrix_name
    1134             :       ELSE
    1135           0 :          mname = "DUMMY"
    1136             :       END IF
    1137             : 
    1138      158696 :       ALLOCATE (row_blk_sizes(natom), col_blk_sizes(natom))
    1139             : 
    1140             :       CALL get_particle_set(particle_set, qs_kind_set, nsgf=row_blk_sizes, &
    1141       39674 :                             basis=basis_set_list_a)
    1142             :       CALL get_particle_set(particle_set, qs_kind_set, nsgf=col_blk_sizes, &
    1143       39674 :                             basis=basis_set_list_b)
    1144             : 
    1145             :       ! prepare for allocation
    1146       39674 :       IF (symmetric) THEN
    1147       38872 :          symmetry_string = dbcsr_type_symmetric
    1148             :       ELSE
    1149         802 :          symmetry_string = dbcsr_type_no_symmetry
    1150             :       END IF
    1151             : 
    1152      217964 :       DO i2 = 1, SIZE(matrix_s, 2)
    1153      433262 :          DO i1 = 1, SIZE(matrix_s, 1)
    1154      215298 :             IF (symmetric) THEN
    1155      212196 :                IF (ndod(i1) == 1) THEN
    1156             :                   ! odd derivatives are anti-symmetric
    1157       37008 :                   symmetry_string = dbcsr_type_antisymmetric
    1158             :                ELSE
    1159      175188 :                   symmetry_string = dbcsr_type_symmetric
    1160             :                END IF
    1161             :             ELSE
    1162        3102 :                symmetry_string = dbcsr_type_no_symmetry
    1163             :             END IF
    1164      215298 :             cgfsym = cgf_symbol(1, indco(1:3, i1))
    1165      215298 :             IF (i1 == 1) THEN
    1166      178290 :                name = mname
    1167             :             ELSE
    1168             :                name = TRIM(cgfsym(4:))//" DERIVATIVE OF THE "//TRIM(mname)// &
    1169       37008 :                       " W.R.T. THE NUCLEAR COORDINATES"
    1170             :             END IF
    1171      215298 :             CALL compress(name)
    1172      215298 :             CALL uppercase(name)
    1173      215298 :             ALLOCATE (matrix_s(i1, i2)%matrix)
    1174             :             CALL dbcsr_create(matrix=matrix_s(i1, i2)%matrix, &
    1175             :                               name=TRIM(name), &
    1176             :                               dist=dbcsr_dist, matrix_type=symmetry_string, &
    1177             :                               row_blk_size=row_blk_sizes, col_blk_size=col_blk_sizes, &
    1178      215298 :                               nze=0)
    1179      393588 :             CALL cp_dbcsr_alloc_block_from_nbl(matrix_s(i1, i2)%matrix, sab_nl)
    1180             :          END DO
    1181             :       END DO
    1182             : 
    1183       39674 :       DEALLOCATE (row_blk_sizes, col_blk_sizes)
    1184             : 
    1185       39674 :    END SUBROUTINE create_sab_matrix_2d
    1186             : 
    1187             : END MODULE qs_overlap

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