LCOV - code coverage report
Current view: top level - src - pao_param_gth.F (source / functions) Hit Total Coverage
Test: CP2K Regtests (git:9843133) Lines: 204 209 97.6 %
Date: 2024-05-10 06:53:45 Functions: 8 8 100.0 %

          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 Parametrization based on GTH pseudo potentials
      10             : !> \author Ole Schuett
      11             : ! **************************************************************************************************
      12             : MODULE pao_param_gth
      13             :    USE arnoldi_api,                     ONLY: arnoldi_extremal
      14             :    USE atomic_kind_types,               ONLY: get_atomic_kind
      15             :    USE basis_set_types,                 ONLY: gto_basis_set_type
      16             :    USE cell_types,                      ONLY: cell_type,&
      17             :                                               pbc
      18             :    USE dbcsr_api,                       ONLY: &
      19             :         dbcsr_create, dbcsr_get_block_p, dbcsr_get_info, dbcsr_iterator_blocks_left, &
      20             :         dbcsr_iterator_next_block, dbcsr_iterator_start, dbcsr_iterator_stop, dbcsr_iterator_type, &
      21             :         dbcsr_p_type, dbcsr_release, dbcsr_reserve_all_blocks, dbcsr_reserve_diag_blocks, &
      22             :         dbcsr_set, dbcsr_type
      23             :    USE dm_ls_scf_types,                 ONLY: ls_scf_env_type
      24             :    USE iterate_matrix,                  ONLY: matrix_sqrt_Newton_Schulz
      25             :    USE kinds,                           ONLY: dp
      26             :    USE machine,                         ONLY: m_flush
      27             :    USE message_passing,                 ONLY: mp_comm_type
      28             :    USE orbital_pointers,                ONLY: init_orbital_pointers
      29             :    USE pao_param_fock,                  ONLY: pao_calc_U_block_fock
      30             :    USE pao_param_methods,               ONLY: pao_calc_AB_from_U,&
      31             :                                               pao_calc_grad_lnv_wrt_U
      32             :    USE pao_potentials,                  ONLY: pao_calc_gaussian
      33             :    USE pao_types,                       ONLY: pao_env_type
      34             :    USE particle_types,                  ONLY: particle_type
      35             :    USE qs_environment_types,            ONLY: get_qs_env,&
      36             :                                               qs_environment_type
      37             :    USE qs_kind_types,                   ONLY: get_qs_kind,&
      38             :                                               pao_potential_type,&
      39             :                                               qs_kind_type
      40             : #include "./base/base_uses.f90"
      41             : 
      42             :    IMPLICIT NONE
      43             : 
      44             :    PRIVATE
      45             : 
      46             :    PUBLIC :: pao_param_init_gth, pao_param_finalize_gth, pao_calc_AB_gth
      47             :    PUBLIC :: pao_param_count_gth, pao_param_initguess_gth
      48             : 
      49             : CONTAINS
      50             : 
      51             : ! **************************************************************************************************
      52             : !> \brief Initialize the linear potential parametrization
      53             : !> \param pao ...
      54             : !> \param qs_env ...
      55             : ! **************************************************************************************************
      56          10 :    SUBROUTINE pao_param_init_gth(pao, qs_env)
      57             :       TYPE(pao_env_type), POINTER                        :: pao
      58             :       TYPE(qs_environment_type), POINTER                 :: qs_env
      59             : 
      60             :       CHARACTER(len=*), PARAMETER :: routineN = 'pao_param_init_gth'
      61             : 
      62             :       INTEGER                                            :: acol, arow, handle, iatom, idx, ikind, &
      63             :                                                             iterm, jatom, maxl, n, natoms
      64          10 :       INTEGER, DIMENSION(:), POINTER                     :: blk_sizes_pri, col_blk_size, nterms, &
      65          10 :                                                             row_blk_size
      66          10 :       REAL(dp), DIMENSION(:, :), POINTER                 :: block_V_term, vec_V_terms
      67             :       TYPE(dbcsr_iterator_type)                          :: iter
      68          10 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_s
      69          10 :       TYPE(pao_potential_type), DIMENSION(:), POINTER    :: pao_potentials
      70          10 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
      71          10 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
      72             : 
      73          10 :       CALL timeset(routineN, handle)
      74             : 
      75             :       CALL get_qs_env(qs_env, &
      76             :                       natom=natoms, &
      77             :                       matrix_s=matrix_s, &
      78             :                       qs_kind_set=qs_kind_set, &
      79          10 :                       particle_set=particle_set)
      80             : 
      81          10 :       maxl = 0
      82          50 :       ALLOCATE (row_blk_size(natoms), col_blk_size(natoms), nterms(natoms))
      83          32 :       DO iatom = 1, natoms
      84          22 :          CALL get_atomic_kind(particle_set(iatom)%atomic_kind, kind_number=ikind)
      85          22 :          CALL pao_param_count_gth(qs_env, ikind, nterms(iatom))
      86          22 :          CALL get_qs_kind(qs_kind_set(ikind), pao_potentials=pao_potentials)
      87          22 :          CPASSERT(SIZE(pao_potentials) == 1)
      88          54 :          maxl = MAX(maxl, pao_potentials(1)%maxl)
      89             :       END DO
      90          10 :       CALL init_orbital_pointers(maxl) ! needs to be called before gth_calc_term()
      91             : 
      92             :       ! allocate matrix_V_terms
      93          10 :       CALL dbcsr_get_info(matrix_s(1)%matrix, row_blk_size=blk_sizes_pri)
      94          54 :       col_blk_size = SUM(nterms)
      95          64 :       row_blk_size = blk_sizes_pri**2
      96             :       CALL dbcsr_create(pao%matrix_V_terms, &
      97             :                         name="PAO matrix_V_terms", &
      98             :                         dist=pao%diag_distribution, &
      99             :                         matrix_type="N", &
     100             :                         row_blk_size=row_blk_size, &
     101          10 :                         col_blk_size=col_blk_size)
     102          10 :       CALL dbcsr_reserve_diag_blocks(pao%matrix_V_terms)
     103          10 :       CALL dbcsr_set(pao%matrix_V_terms, 0.0_dp)
     104             : 
     105             :       ! calculate and store poential terms
     106             : !$OMP PARALLEL DEFAULT(NONE) SHARED(pao,qs_env,blk_sizes_pri,natoms,nterms) &
     107          10 : !$OMP PRIVATE(iter,arow,acol,iatom,jatom,N,idx,vec_V_terms,block_V_term)
     108             :       CALL dbcsr_iterator_start(iter, pao%matrix_V_terms)
     109             :       DO WHILE (dbcsr_iterator_blocks_left(iter))
     110             :          CALL dbcsr_iterator_next_block(iter, arow, acol, vec_V_terms)
     111             :          iatom = arow; CPASSERT(arow == acol)
     112             :          n = blk_sizes_pri(iatom)
     113             :          DO jatom = 1, natoms
     114             :             IF (jatom == iatom) CYCLE ! waste some storage to simplify things later
     115             :             DO iterm = 1, nterms(jatom)
     116             :                idx = SUM(nterms(1:jatom - 1)) + iterm
     117             :                block_V_term(1:n, 1:n) => vec_V_terms(:, idx) ! map column into matrix
     118             :                CALL gth_calc_term(qs_env, block_V_term, iatom, jatom, iterm)
     119             :             END DO
     120             :          END DO
     121             :       END DO
     122             :       CALL dbcsr_iterator_stop(iter)
     123             : !$OMP END PARALLEL
     124             : 
     125          10 :       IF (pao%precondition) &
     126           4 :          CALL pao_param_gth_preconditioner(pao, qs_env, nterms)
     127             : 
     128          10 :       DEALLOCATE (row_blk_size, col_blk_size, nterms)
     129          10 :       CALL timestop(handle)
     130          10 :    END SUBROUTINE pao_param_init_gth
     131             : 
     132             : ! **************************************************************************************************
     133             : !> \brief Finalize the GTH potential parametrization
     134             : !> \param pao ...
     135             : ! **************************************************************************************************
     136          10 :    SUBROUTINE pao_param_finalize_gth(pao)
     137             :       TYPE(pao_env_type), POINTER                        :: pao
     138             : 
     139          10 :       CALL dbcsr_release(pao%matrix_V_terms)
     140          10 :       IF (pao%precondition) THEN
     141           4 :          CALL dbcsr_release(pao%matrix_precon)
     142           4 :          CALL dbcsr_release(pao%matrix_precon_inv)
     143             :       END IF
     144             : 
     145          10 :    END SUBROUTINE pao_param_finalize_gth
     146             : 
     147             : ! **************************************************************************************************
     148             : !> \brief Builds the preconditioner matrix_precon and matrix_precon_inv
     149             : !> \param pao ...
     150             : !> \param qs_env ...
     151             : !> \param nterms ...
     152             : ! **************************************************************************************************
     153           8 :    SUBROUTINE pao_param_gth_preconditioner(pao, qs_env, nterms)
     154             :       TYPE(pao_env_type), POINTER                        :: pao
     155             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     156             :       INTEGER, DIMENSION(:), POINTER                     :: nterms
     157             : 
     158             :       CHARACTER(len=*), PARAMETER :: routineN = 'pao_param_gth_preconditioner'
     159             : 
     160             :       INTEGER                                            :: acol, arow, group_handle, handle, i, &
     161             :                                                             iatom, ioffset, j, jatom, joffset, m, &
     162             :                                                             n, natoms
     163             :       LOGICAL                                            :: arnoldi_converged, converged, found
     164             :       REAL(dp)                                           :: eval_max, eval_min
     165           4 :       REAL(dp), DIMENSION(:, :), POINTER                 :: block, block_overlap, block_V_term
     166             :       TYPE(dbcsr_iterator_type)                          :: iter
     167             :       TYPE(dbcsr_type)                                   :: matrix_gth_overlap
     168             :       TYPE(ls_scf_env_type), POINTER                     :: ls_scf_env
     169             :       TYPE(mp_comm_type)                                 :: group
     170             : 
     171           4 :       CALL timeset(routineN, handle)
     172             : 
     173           4 :       CALL get_qs_env(qs_env, ls_scf_env=ls_scf_env)
     174           4 :       CALL dbcsr_get_info(pao%matrix_V_terms, group=group_handle)
     175           4 :       CALL group%set_handle(group_handle)
     176           4 :       natoms = SIZE(nterms)
     177             : 
     178             :       CALL dbcsr_create(matrix_gth_overlap, &
     179             :                         template=pao%matrix_V_terms, &
     180             :                         matrix_type="N", &
     181             :                         row_blk_size=nterms, &
     182           4 :                         col_blk_size=nterms)
     183           4 :       CALL dbcsr_reserve_all_blocks(matrix_gth_overlap)
     184           4 :       CALL dbcsr_set(matrix_gth_overlap, 0.0_dp)
     185             : 
     186          16 :       DO iatom = 1, natoms
     187          52 :       DO jatom = 1, natoms
     188          72 :          ioffset = SUM(nterms(1:iatom - 1))
     189          72 :          joffset = SUM(nterms(1:jatom - 1))
     190          36 :          n = nterms(iatom)
     191          36 :          m = nterms(jatom)
     192             : 
     193         144 :          ALLOCATE (block(n, m))
     194        3996 :          block = 0.0_dp
     195             : 
     196             :          ! can't use OpenMP here block is a pointer and hence REDUCTION(+:block) does work
     197          36 :          CALL dbcsr_iterator_start(iter, pao%matrix_V_terms)
     198          90 :          DO WHILE (dbcsr_iterator_blocks_left(iter))
     199          54 :             CALL dbcsr_iterator_next_block(iter, arow, acol, block_V_term)
     200          54 :             CPASSERT(arow == acol)
     201         630 :             DO i = 1, n
     202        5994 :             DO j = 1, m
     203      400140 :                block(i, j) = block(i, j) + SUM(block_V_term(:, ioffset + i)*block_V_term(:, joffset + j))
     204             :             END DO
     205             :             END DO
     206             :          END DO
     207          36 :          CALL dbcsr_iterator_stop(iter)
     208             : 
     209        7956 :          CALL group%sum(block)
     210             : 
     211          36 :          CALL dbcsr_get_block_p(matrix=matrix_gth_overlap, row=iatom, col=jatom, block=block_overlap, found=found)
     212          36 :          IF (ASSOCIATED(block_overlap)) &
     213        3978 :             block_overlap = block
     214             : 
     215         120 :          DEALLOCATE (block)
     216             :       END DO
     217             :       END DO
     218             : 
     219             :       !TODO: good setting for arnoldi?
     220             :       CALL arnoldi_extremal(matrix_gth_overlap, eval_max, eval_min, max_iter=100, &
     221           4 :                             threshold=1e-2_dp, converged=arnoldi_converged)
     222           6 :       IF (pao%iw > 0) WRITE (pao%iw, *) "PAO| GTH-preconditioner converged, min, max, max/min:", &
     223           4 :          arnoldi_converged, eval_min, eval_max, eval_max/eval_min
     224             : 
     225           4 :       CALL dbcsr_create(pao%matrix_precon, template=matrix_gth_overlap)
     226           4 :       CALL dbcsr_create(pao%matrix_precon_inv, template=matrix_gth_overlap)
     227             : 
     228             :       CALL matrix_sqrt_Newton_Schulz(pao%matrix_precon_inv, pao%matrix_precon, matrix_gth_overlap, &
     229             :                                      threshold=ls_scf_env%eps_filter, &
     230             :                                      order=ls_scf_env%s_sqrt_order, &
     231             :                                      max_iter_lanczos=ls_scf_env%max_iter_lanczos, &
     232             :                                      eps_lanczos=ls_scf_env%eps_lanczos, &
     233           4 :                                      converged=converged)
     234           4 :       CALL dbcsr_release(matrix_gth_overlap)
     235             : 
     236           4 :       IF (.NOT. converged) &
     237           0 :          CPABORT("PAO: Sqrt of GTH-preconditioner did not converge.")
     238             : 
     239           4 :       CALL timestop(handle)
     240           4 :    END SUBROUTINE pao_param_gth_preconditioner
     241             : 
     242             : ! **************************************************************************************************
     243             : !> \brief Takes current matrix_X and calculates the matrices A and B.
     244             : !> \param pao ...
     245             : !> \param qs_env ...
     246             : !> \param ls_scf_env ...
     247             : !> \param gradient ...
     248             : !> \param penalty ...
     249             : ! **************************************************************************************************
     250        2152 :    SUBROUTINE pao_calc_AB_gth(pao, qs_env, ls_scf_env, gradient, penalty)
     251             :       TYPE(pao_env_type), POINTER                        :: pao
     252             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     253             :       TYPE(ls_scf_env_type), TARGET                      :: ls_scf_env
     254             :       LOGICAL, INTENT(IN)                                :: gradient
     255             :       REAL(dp), INTENT(INOUT), OPTIONAL                  :: penalty
     256             : 
     257             :       CHARACTER(len=*), PARAMETER                        :: routineN = 'pao_calc_AB_gth'
     258             : 
     259             :       INTEGER                                            :: handle
     260        2152 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_s
     261             :       TYPE(dbcsr_type)                                   :: matrix_M, matrix_U
     262             : 
     263        2152 :       CALL timeset(routineN, handle)
     264        2152 :       CALL get_qs_env(qs_env, matrix_s=matrix_s)
     265        2152 :       CALL dbcsr_create(matrix_U, matrix_type="N", dist=pao%diag_distribution, template=matrix_s(1)%matrix)
     266        2152 :       CALL dbcsr_reserve_diag_blocks(matrix_U)
     267             : 
     268             :       !TODO: move this condition into pao_calc_U, use matrix_N as template
     269        2152 :       IF (gradient) THEN
     270         322 :          CALL pao_calc_grad_lnv_wrt_U(qs_env, ls_scf_env, matrix_M)
     271         322 :          CALL pao_calc_U_gth(pao, matrix_U, matrix_M, pao%matrix_G, penalty)
     272         322 :          CALL dbcsr_release(matrix_M)
     273             :       ELSE
     274        1830 :          CALL pao_calc_U_gth(pao, matrix_U, penalty=penalty)
     275             :       END IF
     276             : 
     277        2152 :       CALL pao_calc_AB_from_U(pao, qs_env, ls_scf_env, matrix_U)
     278        2152 :       CALL dbcsr_release(matrix_U)
     279        2152 :       CALL timestop(handle)
     280        2152 :    END SUBROUTINE pao_calc_AB_gth
     281             : 
     282             : ! **************************************************************************************************
     283             : !> \brief Calculate new matrix U and optinally its gradient G
     284             : !> \param pao ...
     285             : !> \param matrix_U ...
     286             : !> \param matrix_M1 ...
     287             : !> \param matrix_G ...
     288             : !> \param penalty ...
     289             : ! **************************************************************************************************
     290        2152 :    SUBROUTINE pao_calc_U_gth(pao, matrix_U, matrix_M1, matrix_G, penalty)
     291             :       TYPE(pao_env_type), POINTER                        :: pao
     292             :       TYPE(dbcsr_type)                                   :: matrix_U
     293             :       TYPE(dbcsr_type), OPTIONAL                         :: matrix_M1, matrix_G
     294             :       REAL(dp), INTENT(INOUT), OPTIONAL                  :: penalty
     295             : 
     296             :       CHARACTER(len=*), PARAMETER                        :: routineN = 'pao_calc_U_gth'
     297             : 
     298             :       INTEGER                                            :: acol, arow, group_handle, handle, iatom, &
     299             :                                                             idx, iterm, n, natoms
     300        2152 :       INTEGER, DIMENSION(:), POINTER                     :: nterms
     301             :       LOGICAL                                            :: found
     302             :       REAL(dp), ALLOCATABLE, DIMENSION(:)                :: gaps
     303        2152 :       REAL(dp), DIMENSION(:), POINTER                    :: world_G, world_X
     304        2152 :       REAL(dp), DIMENSION(:, :), POINTER                 :: block_G, block_M1, block_M2, block_U, &
     305        2152 :                                                             block_V, block_V_term, block_X, &
     306        2152 :                                                             vec_V_terms
     307             :       TYPE(dbcsr_iterator_type)                          :: iter
     308             :       TYPE(mp_comm_type)                                 :: group
     309             : 
     310        2152 :       CALL timeset(routineN, handle)
     311             : 
     312        2152 :       CALL dbcsr_get_info(pao%matrix_X, row_blk_size=nterms, group=group_handle)
     313        2152 :       CALL group%set_handle(group_handle)
     314        2152 :       natoms = SIZE(nterms)
     315        6456 :       ALLOCATE (gaps(natoms))
     316        7620 :       gaps(:) = HUGE(dp)
     317             : 
     318             :       ! allocate arrays for world-view
     319       21696 :       ALLOCATE (world_X(SUM(nterms)), world_G(SUM(nterms)))
     320      202168 :       world_X = 0.0_dp; world_G = 0.0_dp
     321             : 
     322             :       ! collect world_X from atomic blocks
     323        2152 :       CALL dbcsr_iterator_start(iter, pao%matrix_X)
     324        4886 :       DO WHILE (dbcsr_iterator_blocks_left(iter))
     325        2734 :          CALL dbcsr_iterator_next_block(iter, arow, acol, block_X)
     326        2734 :          iatom = arow; CPASSERT(arow == acol)
     327        4975 :          idx = SUM(nterms(1:iatom - 1))
     328      104894 :          world_X(idx + 1:idx + nterms(iatom)) = block_X(:, 1)
     329             :       END DO
     330        2152 :       CALL dbcsr_iterator_stop(iter)
     331      202168 :       CALL group%sum(world_X) ! sync world view across MPI ranks
     332             : 
     333             :       ! loop over atoms
     334        2152 :       CALL dbcsr_iterator_start(iter, matrix_U)
     335        4886 :       DO WHILE (dbcsr_iterator_blocks_left(iter))
     336        2734 :          CALL dbcsr_iterator_next_block(iter, arow, acol, block_U)
     337        2734 :          iatom = arow; CPASSERT(arow == acol)
     338        2734 :          n = SIZE(block_U, 1)
     339        2734 :          CALL dbcsr_get_block_p(matrix=pao%matrix_V_terms, row=iatom, col=iatom, block=vec_V_terms, found=found)
     340        2734 :          CPASSERT(ASSOCIATED(vec_V_terms))
     341             : 
     342             :          ! calculate potential V of i'th atom
     343       10936 :          ALLOCATE (block_V(n, n))
     344      173370 :          block_V = 0.0_dp
     345      120226 :          DO iterm = 1, SIZE(world_X)
     346      117492 :             block_V_term(1:n, 1:n) => vec_V_terms(:, iterm) ! map column into matrix
     347    12486706 :             block_V = block_V + world_X(iterm)*block_V_term
     348             :          END DO
     349             : 
     350             :          ! calculate gradient block of i'th atom
     351        2734 :          IF (.NOT. PRESENT(matrix_G)) THEN
     352        2288 :             CALL pao_calc_U_block_fock(pao, iatom=iatom, penalty=penalty, V=block_V, U=block_U, gap=gaps(iatom))
     353             : 
     354             :          ELSE ! TURNING POINT (if calc grad) ------------------------------------
     355         446 :             CPASSERT(PRESENT(matrix_M1))
     356         446 :             CALL dbcsr_get_block_p(matrix=matrix_M1, row=iatom, col=iatom, block=block_M1, found=found)
     357        1338 :             ALLOCATE (block_M2(n, n))
     358             :             CALL pao_calc_U_block_fock(pao, iatom=iatom, penalty=penalty, V=block_V, U=block_U, &
     359         446 :                                        M1=block_M1, G=block_M2, gap=gaps(iatom))
     360       16910 :             DO iterm = 1, SIZE(world_G)
     361       16464 :                block_V_term(1:n, 1:n) => vec_V_terms(:, iterm) ! map column into matrix
     362     1076270 :                world_G(iterm) = world_G(iterm) + SUM(block_V_term*block_M2)
     363             :             END DO
     364         892 :             DEALLOCATE (block_M2)
     365             :          END IF
     366       10354 :          DEALLOCATE (block_V)
     367             :       END DO
     368        2152 :       CALL dbcsr_iterator_stop(iter)
     369             : 
     370             :       ! distribute world_G across atomic blocks
     371        2152 :       IF (PRESENT(matrix_G)) THEN
     372       25810 :          CALL group%sum(world_G) ! sync world view across MPI ranks
     373         322 :          CALL dbcsr_iterator_start(iter, matrix_G)
     374         768 :          DO WHILE (dbcsr_iterator_blocks_left(iter))
     375         446 :             CALL dbcsr_iterator_next_block(iter, arow, acol, block_G)
     376         446 :             iatom = arow; CPASSERT(arow == acol)
     377         855 :             idx = SUM(nterms(1:iatom - 1))
     378       13512 :             block_G(:, 1) = world_G(idx + 1:idx + nterms(iatom))
     379             :          END DO
     380         322 :          CALL dbcsr_iterator_stop(iter)
     381             :       END IF
     382             : 
     383        2152 :       DEALLOCATE (world_X, world_G)
     384             : 
     385             :       ! sum penalty energies across ranks
     386        2152 :       IF (PRESENT(penalty)) &
     387        2142 :          CALL group%sum(penalty)
     388             : 
     389             :       ! print homo-lumo gap encountered by fock-layer
     390        2152 :       CALL group%min(gaps)
     391        2152 :       IF (pao%iw_gap > 0) THEN
     392        2208 :          DO iatom = 1, natoms
     393        2208 :             WRITE (pao%iw_gap, *) "PAO| atom:", iatom, " fock gap:", gaps(iatom)
     394             :          END DO
     395         552 :          CALL m_flush(pao%iw_gap)
     396             :       END IF
     397             : 
     398             :       ! one-line summary
     399        2152 :       IF (pao%iw > 0) THEN
     400        8696 :          WRITE (pao%iw, "(A,E20.10,A,T71,I10)") " PAO| min_gap:", MINVAL(gaps), " for atom:", MINLOC(gaps)
     401             :       END IF
     402             : 
     403        2152 :       DEALLOCATE (gaps)
     404        2152 :       CALL timestop(handle)
     405             : 
     406        6456 :    END SUBROUTINE pao_calc_U_gth
     407             : 
     408             : ! **************************************************************************************************
     409             : !> \brief Returns the number of parameters for given atomic kind
     410             : !> \param qs_env ...
     411             : !> \param ikind ...
     412             : !> \param nparams ...
     413             : ! **************************************************************************************************
     414          44 :    SUBROUTINE pao_param_count_gth(qs_env, ikind, nparams)
     415             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     416             :       INTEGER, INTENT(IN)                                :: ikind
     417             :       INTEGER, INTENT(OUT)                               :: nparams
     418             : 
     419             :       INTEGER                                            :: max_projector, maxl, ncombis
     420          44 :       TYPE(pao_potential_type), DIMENSION(:), POINTER    :: pao_potentials
     421          44 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     422             : 
     423          44 :       CALL get_qs_env(qs_env, qs_kind_set=qs_kind_set)
     424          44 :       CALL get_qs_kind(qs_kind_set(ikind), pao_potentials=pao_potentials)
     425             : 
     426          44 :       IF (SIZE(pao_potentials) /= 1) &
     427           0 :          CPABORT("GTH parametrization requires exactly one PAO_POTENTIAL section per KIND")
     428             : 
     429          44 :       max_projector = pao_potentials(1)%max_projector
     430          44 :       maxl = pao_potentials(1)%maxl
     431             : 
     432          44 :       IF (maxl < 0) &
     433           0 :          CPABORT("GTH parametrization requires non-negative PAO_POTENTIAL%MAXL")
     434             : 
     435          44 :       IF (max_projector < 0) &
     436           0 :          CPABORT("GTH parametrization requires non-negative PAO_POTENTIAL%MAX_PROJECTOR")
     437             : 
     438          44 :       IF (MOD(maxl, 2) /= 0) &
     439           0 :          CPABORT("GTH parametrization requires even-numbered PAO_POTENTIAL%MAXL")
     440             : 
     441          44 :       ncombis = (max_projector + 1)*(max_projector + 2)/2
     442          44 :       nparams = ncombis*(maxl/2 + 1)
     443             : 
     444          44 :    END SUBROUTINE pao_param_count_gth
     445             : 
     446             : ! **************************************************************************************************
     447             : !> \brief Fills the given block_V with the requested potential term
     448             : !> \param qs_env ...
     449             : !> \param block_V ...
     450             : !> \param iatom ...
     451             : !> \param jatom ...
     452             : !> \param kterm ...
     453             : ! **************************************************************************************************
     454         252 :    SUBROUTINE gth_calc_term(qs_env, block_V, iatom, jatom, kterm)
     455             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     456             :       REAL(dp), DIMENSION(:, :), INTENT(OUT)             :: block_V
     457             :       INTEGER, INTENT(IN)                                :: iatom, jatom, kterm
     458             : 
     459             :       INTEGER                                            :: c, ikind, jkind, lpot, max_l, min_l, &
     460             :                                                             pot_max_projector, pot_maxl
     461             :       REAL(dp), DIMENSION(3)                             :: Ra, Rab, Rb
     462             :       REAL(KIND=dp)                                      :: pot_beta
     463             :       TYPE(cell_type), POINTER                           :: cell
     464             :       TYPE(gto_basis_set_type), POINTER                  :: basis_set
     465         252 :       TYPE(pao_potential_type), DIMENSION(:), POINTER    :: pao_potentials
     466         252 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     467         252 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     468             : 
     469             :       CALL get_qs_env(qs_env, &
     470             :                       cell=cell, &
     471             :                       particle_set=particle_set, &
     472         252 :                       qs_kind_set=qs_kind_set)
     473             : 
     474             :       ! get GTH-settings from remote atom
     475         252 :       CALL get_atomic_kind(particle_set(jatom)%atomic_kind, kind_number=jkind)
     476         252 :       CALL get_qs_kind(qs_kind_set(jkind), pao_potentials=pao_potentials)
     477         252 :       CPASSERT(SIZE(pao_potentials) == 1)
     478         252 :       pot_max_projector = pao_potentials(1)%max_projector
     479         252 :       pot_maxl = pao_potentials(1)%maxl
     480         252 :       pot_beta = pao_potentials(1)%beta
     481             : 
     482         252 :       c = 0
     483         612 :       outer: DO lpot = 0, pot_maxl, 2
     484        2252 :          DO max_l = 0, pot_max_projector
     485        4718 :          DO min_l = 0, max_l
     486        2970 :             c = c + 1
     487        4358 :             IF (c == kterm) EXIT outer
     488             :          END DO
     489             :          END DO
     490             :       END DO outer
     491             : 
     492             :       ! get basis-set of central atom
     493         252 :       CALL get_atomic_kind(particle_set(iatom)%atomic_kind, kind_number=ikind)
     494         252 :       CALL get_qs_kind(qs_kind_set(ikind), basis_set=basis_set)
     495             : 
     496        1008 :       Ra = particle_set(iatom)%r
     497        1008 :       Rb = particle_set(jatom)%r
     498         252 :       Rab = pbc(ra, rb, cell)
     499             : 
     500       15108 :       block_V = 0.0_dp
     501             :       CALL pao_calc_gaussian(basis_set, block_V, Rab=Rab, lpot=lpot, &
     502         252 :                              min_l=min_l, max_l=max_l, beta=pot_beta, weight=1.0_dp)
     503             : 
     504         252 :    END SUBROUTINE gth_calc_term
     505             : 
     506             : ! **************************************************************************************************
     507             : !> \brief Calculate initial guess for matrix_X
     508             : !> \param pao ...
     509             : ! **************************************************************************************************
     510          10 :    SUBROUTINE pao_param_initguess_gth(pao)
     511             :       TYPE(pao_env_type), POINTER                        :: pao
     512             : 
     513             :       INTEGER                                            :: acol, arow
     514          10 :       REAL(dp), DIMENSION(:, :), POINTER                 :: block_X
     515             :       TYPE(dbcsr_iterator_type)                          :: iter
     516             : 
     517             : !$OMP PARALLEL DEFAULT(NONE) SHARED(pao) &
     518          10 : !$OMP PRIVATE(iter,arow,acol,block_X)
     519             :       CALL dbcsr_iterator_start(iter, pao%matrix_X)
     520             :       DO WHILE (dbcsr_iterator_blocks_left(iter))
     521             :          CALL dbcsr_iterator_next_block(iter, arow, acol, block_X)
     522             :          CPASSERT(arow == acol)
     523             :          CPASSERT(SIZE(block_X, 2) == 1)
     524             : 
     525             :          ! a simplistic guess, which at least makes the atom visible to others
     526             :          block_X = 0.0_dp
     527             :          block_X(1, 1) = 0.01_dp
     528             :       END DO
     529             :       CALL dbcsr_iterator_stop(iter)
     530             : !$OMP END PARALLEL
     531             : 
     532          10 :    END SUBROUTINE pao_param_initguess_gth
     533             : 
     534             : END MODULE pao_param_gth

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