LCOV - code coverage report
Current view: top level - src - qs_rho_atom_methods.F (source / functions) Hit Total Coverage
Test: CP2K Regtests (git:262480d) Lines: 386 393 98.2 %
Date: 2024-11-22 07:00:40 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             : MODULE qs_rho_atom_methods
       8             : 
       9             :    USE atomic_kind_types,               ONLY: atomic_kind_type,&
      10             :                                               get_atomic_kind,&
      11             :                                               get_atomic_kind_set
      12             :    USE basis_set_types,                 ONLY: get_gto_basis_set,&
      13             :                                               gto_basis_set_p_type,&
      14             :                                               gto_basis_set_type
      15             :    USE cp_control_types,                ONLY: dft_control_type,&
      16             :                                               gapw_control_type
      17             :    USE cp_dbcsr_api,                    ONLY: dbcsr_get_block_p,&
      18             :                                               dbcsr_p_type
      19             :    USE kinds,                           ONLY: dp
      20             :    USE kpoint_types,                    ONLY: get_kpoint_info,&
      21             :                                               kpoint_type
      22             :    USE lebedev,                         ONLY: deallocate_lebedev_grids,&
      23             :                                               get_number_of_lebedev_grid,&
      24             :                                               init_lebedev_grids,&
      25             :                                               lebedev_grid
      26             :    USE mathconstants,                   ONLY: fourpi,&
      27             :                                               pi
      28             :    USE memory_utilities,                ONLY: reallocate
      29             :    USE message_passing,                 ONLY: mp_para_env_type
      30             :    USE orbital_pointers,                ONLY: indso,&
      31             :                                               nsoset
      32             :    USE paw_basis_types,                 ONLY: get_paw_basis_info
      33             :    USE qs_environment_types,            ONLY: get_qs_env,&
      34             :                                               qs_environment_type
      35             :    USE qs_grid_atom,                    ONLY: create_grid_atom,&
      36             :                                               grid_atom_type
      37             :    USE qs_harmonics_atom,               ONLY: create_harmonics_atom,&
      38             :                                               get_maxl_CG,&
      39             :                                               get_none0_cg_list,&
      40             :                                               harmonics_atom_type
      41             :    USE qs_kind_types,                   ONLY: get_qs_kind,&
      42             :                                               get_qs_kind_set,&
      43             :                                               qs_kind_type
      44             :    USE qs_neighbor_list_types,          ONLY: get_iterator_info,&
      45             :                                               neighbor_list_iterate,&
      46             :                                               neighbor_list_iterator_create,&
      47             :                                               neighbor_list_iterator_p_type,&
      48             :                                               neighbor_list_iterator_release,&
      49             :                                               neighbor_list_set_p_type
      50             :    USE qs_oce_methods,                  ONLY: proj_blk
      51             :    USE qs_oce_types,                    ONLY: oce_matrix_type
      52             :    USE qs_rho_atom_types,               ONLY: deallocate_rho_atom_set,&
      53             :                                               rho_atom_coeff,&
      54             :                                               rho_atom_type
      55             :    USE sap_kind_types,                  ONLY: alist_pre_align_blk,&
      56             :                                               alist_type,&
      57             :                                               get_alist
      58             :    USE spherical_harmonics,             ONLY: clebsch_gordon,&
      59             :                                               clebsch_gordon_deallocate,&
      60             :                                               clebsch_gordon_init
      61             :    USE util,                            ONLY: get_limit
      62             :    USE whittaker,                       ONLY: whittaker_c0a,&
      63             :                                               whittaker_ci
      64             : 
      65             : !$ USE OMP_LIB, ONLY: omp_get_max_threads, &
      66             : !$                    omp_get_thread_num, &
      67             : !$                    omp_lock_kind, &
      68             : !$                    omp_init_lock, omp_set_lock, &
      69             : !$                    omp_unset_lock, omp_destroy_lock
      70             : 
      71             : #include "./base/base_uses.f90"
      72             : 
      73             :    IMPLICIT NONE
      74             : 
      75             :    PRIVATE
      76             : 
      77             : ! *** Global parameters (only in this module)
      78             : 
      79             :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'qs_rho_atom_methods'
      80             : 
      81             : ! *** Public subroutines ***
      82             : 
      83             :    PUBLIC :: allocate_rho_atom_internals, &
      84             :              calculate_rho_atom, &
      85             :              calculate_rho_atom_coeff, &
      86             :              init_rho_atom
      87             : 
      88             : CONTAINS
      89             : 
      90             : ! **************************************************************************************************
      91             : !> \brief ...
      92             : !> \param para_env ...
      93             : !> \param rho_atom_set ...
      94             : !> \param qs_kind ...
      95             : !> \param atom_list ...
      96             : !> \param natom ...
      97             : !> \param nspins ...
      98             : !> \param tot_rho1_h ...
      99             : !> \param tot_rho1_s ...
     100             : ! **************************************************************************************************
     101       43966 :    SUBROUTINE calculate_rho_atom(para_env, rho_atom_set, qs_kind, atom_list, &
     102       43966 :                                  natom, nspins, tot_rho1_h, tot_rho1_s)
     103             : 
     104             :       TYPE(mp_para_env_type), POINTER                    :: para_env
     105             :       TYPE(rho_atom_type), DIMENSION(:), POINTER         :: rho_atom_set
     106             :       TYPE(qs_kind_type), INTENT(IN)                     :: qs_kind
     107             :       INTEGER, DIMENSION(:), INTENT(IN)                  :: atom_list
     108             :       INTEGER, INTENT(IN)                                :: natom, nspins
     109             :       REAL(dp), DIMENSION(:), INTENT(INOUT)              :: tot_rho1_h, tot_rho1_s
     110             : 
     111             :       CHARACTER(len=*), PARAMETER :: routineN = 'calculate_rho_atom'
     112             : 
     113             :       INTEGER :: damax_iso_not0_local, handle, i, i1, i2, iat, iatom, icg, ipgf1, ipgf2, ir, &
     114             :          iset1, iset2, iso, iso1, iso1_first, iso1_last, iso2, iso2_first, iso2_last, j, l, l1, &
     115             :          l2, l_iso, l_sub, l_sum, lmax12, lmax_expansion, lmin12, m1s, m2s, max_iso_not0, &
     116             :          max_iso_not0_local, max_s_harm, maxl, maxso, mepos, n1s, n2s, nr, nset, num_pe, size1, &
     117             :          size2
     118       43966 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: cg_n_list, dacg_n_list
     119       43966 :       INTEGER, ALLOCATABLE, DIMENSION(:, :, :)           :: cg_list, dacg_list
     120             :       INTEGER, DIMENSION(2)                              :: bo
     121       43966 :       INTEGER, DIMENSION(:), POINTER                     :: lmax, lmin, npgf, o2nindex
     122       43966 :       LOGICAL, ALLOCATABLE, DIMENSION(:, :)              :: done_vgg
     123             :       REAL(dp)                                           :: c1, c2, rho_h, rho_s, root_zet12, zet12
     124       43966 :       REAL(dp), ALLOCATABLE, DIMENSION(:)                :: erf_zet12, g1, g2, gg0, int1, int2
     125       43966 :       REAL(dp), ALLOCATABLE, DIMENSION(:, :)             :: CPCH_sphere, CPCS_sphere, dgg, gg, gg_lm1
     126       43966 :       REAL(dp), ALLOCATABLE, DIMENSION(:, :, :)          :: vgg
     127       43966 :       REAL(dp), DIMENSION(:, :), POINTER                 :: coeff, zet
     128             :       REAL(dp), DIMENSION(:, :, :), POINTER              :: my_CG
     129             :       REAL(dp), DIMENSION(:, :, :, :), POINTER           :: my_CG_dxyz
     130             :       TYPE(grid_atom_type), POINTER                      :: grid_atom
     131             :       TYPE(gto_basis_set_type), POINTER                  :: basis_1c
     132             :       TYPE(harmonics_atom_type), POINTER                 :: harmonics
     133             : 
     134       43966 :       CALL timeset(routineN, handle)
     135             : 
     136             :       !Note: tau is taken care of separately in qs_vxc_atom.F
     137             : 
     138       43966 :       NULLIFY (basis_1c)
     139       43966 :       NULLIFY (harmonics, grid_atom)
     140       43966 :       NULLIFY (lmin, lmax, npgf, zet, my_CG, my_CG_dxyz, coeff)
     141             : 
     142       43966 :       CALL get_qs_kind(qs_kind, grid_atom=grid_atom, harmonics=harmonics)
     143       43966 :       CALL get_qs_kind(qs_kind, basis_set=basis_1c, basis_type="GAPW_1C")
     144             : 
     145             :       CALL get_gto_basis_set(gto_basis_set=basis_1c, lmax=lmax, lmin=lmin, &
     146             :                              maxl=maxl, npgf=npgf, nset=nset, zet=zet, &
     147       43966 :                              maxso=maxso)
     148             : 
     149       43966 :       CALL get_paw_basis_info(basis_1c, o2nindex=o2nindex)
     150             : 
     151       43966 :       max_iso_not0 = harmonics%max_iso_not0
     152       43966 :       max_s_harm = harmonics%max_s_harm
     153             : 
     154       43966 :       nr = grid_atom%nr
     155       43966 :       lmax_expansion = indso(1, max_iso_not0)
     156             :       ! Distribute the atoms of this kind
     157       43966 :       num_pe = para_env%num_pe
     158       43966 :       mepos = para_env%mepos
     159       43966 :       bo = get_limit(natom, num_pe, mepos)
     160             : 
     161       43966 :       my_CG => harmonics%my_CG
     162       43966 :       my_CG_dxyz => harmonics%my_CG_dxyz
     163             : 
     164      175864 :       ALLOCATE (CPCH_sphere(nsoset(maxl), nsoset(maxl)))
     165      131898 :       ALLOCATE (CPCS_sphere(nsoset(maxl), nsoset(maxl)))
     166      527592 :       ALLOCATE (g1(nr), g2(nr), gg0(nr), gg(nr, 0:2*maxl), dgg(nr, 0:2*maxl), gg_lm1(nr, 0:2*maxl))
     167      263796 :       ALLOCATE (erf_zet12(nr), vgg(nr, 0:2*maxl, 0:indso(1, max_iso_not0)))
     168      175864 :       ALLOCATE (done_vgg(0:2*maxl, 0:indso(1, max_iso_not0)))
     169      131898 :       ALLOCATE (int1(nr), int2(nr))
     170             :       ALLOCATE (cg_list(2, nsoset(maxl)**2, max_s_harm), cg_n_list(max_s_harm), &
     171      395694 :                 dacg_list(2, nsoset(maxl)**2, max_s_harm), dacg_n_list(max_s_harm))
     172             : 
     173       77544 :       DO iat = bo(1), bo(2)
     174       33578 :          iatom = atom_list(iat)
     175      116242 :          DO i = 1, nspins
     176       72276 :             IF (.NOT. ASSOCIATED(rho_atom_set(iatom)%rho_rad_h(i)%r_coef)) THEN
     177        4114 :                CALL allocate_rho_atom_rad(rho_atom_set, iatom, i, nr, max_iso_not0)
     178             :             ELSE
     179       34584 :                CALL set2zero_rho_atom_rad(rho_atom_set, iatom, i)
     180             :             END IF
     181             :          END DO
     182             :       END DO
     183             : 
     184       43966 :       m1s = 0
     185      158074 :       DO iset1 = 1, nset
     186             :          m2s = 0
     187      509776 :          DO iset2 = 1, nset
     188             : 
     189             :             CALL get_none0_cg_list(my_CG, lmin(iset1), lmax(iset1), lmin(iset2), lmax(iset2), &
     190      395668 :                                    max_s_harm, lmax_expansion, cg_list, cg_n_list, max_iso_not0_local)
     191      395668 :             CPASSERT(max_iso_not0_local .LE. max_iso_not0)
     192             :             CALL get_none0_cg_list(my_CG_dxyz, lmin(iset1), lmax(iset1), lmin(iset2), lmax(iset2), &
     193      395668 :                                    max_s_harm, lmax_expansion, dacg_list, dacg_n_list, damax_iso_not0_local)
     194      395668 :             n1s = nsoset(lmax(iset1))
     195             : 
     196     1286458 :             DO ipgf1 = 1, npgf(iset1)
     197      890790 :                iso1_first = nsoset(lmin(iset1) - 1) + 1 + n1s*(ipgf1 - 1) + m1s
     198      890790 :                iso1_last = nsoset(lmax(iset1)) + n1s*(ipgf1 - 1) + m1s
     199      890790 :                size1 = iso1_last - iso1_first + 1
     200      890790 :                iso1_first = o2nindex(iso1_first)
     201      890790 :                iso1_last = o2nindex(iso1_last)
     202      890790 :                i1 = iso1_last - iso1_first + 1
     203      890790 :                CPASSERT(size1 == i1)
     204      890790 :                i1 = nsoset(lmin(iset1) - 1) + 1
     205             : 
     206    49986050 :                g1(1:nr) = EXP(-zet(ipgf1, iset1)*grid_atom%rad2(1:nr))
     207             : 
     208      890790 :                n2s = nsoset(lmax(iset2))
     209     3770482 :                DO ipgf2 = 1, npgf(iset2)
     210     2484024 :                   iso2_first = nsoset(lmin(iset2) - 1) + 1 + n2s*(ipgf2 - 1) + m2s
     211     2484024 :                   iso2_last = nsoset(lmax(iset2)) + n2s*(ipgf2 - 1) + m2s
     212     2484024 :                   size2 = iso2_last - iso2_first + 1
     213     2484024 :                   iso2_first = o2nindex(iso2_first)
     214     2484024 :                   iso2_last = o2nindex(iso2_last)
     215     2484024 :                   i2 = iso2_last - iso2_first + 1
     216     2484024 :                   CPASSERT(size2 == i2)
     217     2484024 :                   i2 = nsoset(lmin(iset2) - 1) + 1
     218             : 
     219   140279444 :                   g2(1:nr) = EXP(-zet(ipgf2, iset2)*grid_atom%rad2(1:nr))
     220     2484024 :                   lmin12 = lmin(iset1) + lmin(iset2)
     221     2484024 :                   lmax12 = lmax(iset1) + lmax(iset2)
     222             : 
     223     2484024 :                   zet12 = zet(ipgf1, iset1) + zet(ipgf2, iset2)
     224     2484024 :                   root_zet12 = SQRT(zet(ipgf1, iset1) + zet(ipgf2, iset2))
     225   140279444 :                   DO ir = 1, nr
     226   140279444 :                      erf_zet12(ir) = erf(root_zet12*grid_atom%rad(ir))
     227             :                   END DO
     228             : 
     229   646822452 :                   gg = 0.0_dp
     230   646822452 :                   dgg = 0.0_dp
     231   646822452 :                   gg_lm1 = 0.0_dp
     232  3247902380 :                   vgg = 0.0_dp
     233    71784040 :                   done_vgg = .FALSE.
     234             :                   ! reduce the number of terms in the expansion local densities
     235     2484024 :                   IF (lmin12 .LE. lmax_expansion) THEN
     236     2481534 :                      IF (lmin12 == 0) THEN
     237    84126938 :                         gg(1:nr, lmin12) = g1(1:nr)*g2(1:nr)
     238    84126938 :                         gg_lm1(1:nr, lmin12) = 0.0_dp
     239    84126938 :                         gg0(1:nr) = gg(1:nr, lmin12)
     240             :                      ELSE
     241    56025516 :                         gg0(1:nr) = g1(1:nr)*g2(1:nr)
     242    56025516 :                         gg(1:nr, lmin12) = grid_atom%rad2l(1:nr, lmin12)*g1(1:nr)*g2(1:nr)
     243    56025516 :                         gg_lm1(1:nr, lmin12) = grid_atom%rad2l(1:nr, lmin12 - 1)*g1(1:nr)*g2(1:nr)
     244             :                      END IF
     245             : 
     246             :                      ! reduce the number of terms in the expansion local densities
     247     2481534 :                      IF (lmax12 .GT. lmax_expansion) lmax12 = lmax_expansion
     248             : 
     249     3814398 :                      DO l = lmin12 + 1, lmax12
     250    78557184 :                         gg(1:nr, l) = grid_atom%rad(1:nr)*gg(1:nr, l - 1)
     251    78557184 :                         gg_lm1(1:nr, l) = gg(1:nr, l - 1)
     252    81038718 :                         dgg(1:nr, l - 1) = -2.0_dp*(zet(ipgf1, iset1) + zet(ipgf2, iset2))*gg(1:nr, l)
     253             : 
     254             :                      END DO
     255             :                      dgg(1:nr, lmax12) = -2.0_dp*(zet(ipgf1, iset1) + &
     256   140152454 :                                                   zet(ipgf2, iset2))*grid_atom%rad(1:nr)*gg(1:nr, lmax12)
     257             : 
     258     2481534 :                      c2 = SQRT(pi*pi*pi/(zet12*zet12*zet12))
     259             : 
     260    19664804 :                      DO iso = 1, max_iso_not0_local
     261    17183270 :                         l_iso = indso(1, iso)
     262    17183270 :                         c1 = fourpi/(2._dp*REAL(l_iso, dp) + 1._dp)
     263    52987690 :                         DO icg = 1, cg_n_list(iso)
     264    33322886 :                            iso1 = cg_list(1, icg, iso)
     265    33322886 :                            iso2 = cg_list(2, icg, iso)
     266             : 
     267    33322886 :                            l = indso(1, iso1) + indso(1, iso2)
     268    33322886 :                            CPASSERT(l <= lmax_expansion)
     269    33322886 :                            IF (done_vgg(l, l_iso)) CYCLE
     270     4826418 :                            L_sum = l + l_iso
     271     4826418 :                            L_sub = l - l_iso
     272             : 
     273     4826418 :                            IF (l_sum == 0) THEN
     274    84126938 :                               vgg(1:nr, l, l_iso) = erf_zet12(1:nr)*grid_atom%oorad2l(1:nr, 1)*c2
     275             :                            ELSE
     276     3404700 :                               CALL whittaker_c0a(int1, grid_atom%rad, gg0, erf_zet12, zet12, l, l_iso, nr)
     277     3404700 :                               CALL whittaker_ci(int2, grid_atom%rad, gg0, zet12, L_sub, nr)
     278             : 
     279   189935060 :                               DO ir = 1, nr
     280   186530360 :                                  int2(ir) = grid_atom%rad2l(ir, l_iso)*int2(ir)
     281   189935060 :                                  vgg(ir, l, l_iso) = c1*(int1(ir) + int2(ir))
     282             :                               END DO
     283             :                            END IF
     284    50506156 :                            done_vgg(l, l_iso) = .TRUE.
     285             :                         END DO
     286             :                      END DO
     287             :                   END IF ! lmax_expansion
     288             : 
     289     5024343 :                   DO iat = bo(1), bo(2)
     290     1649529 :                      iatom = atom_list(iat)
     291             : 
     292     6150736 :                      DO i = 1, nspins
     293   172301513 :                         CPCH_sphere = 0.0_dp
     294   172301513 :                         CPCS_sphere = 0.0_dp
     295             : 
     296     2017183 :                         coeff => rho_atom_set(iatom)%cpc_h(i)%r_coef
     297    21196105 :                         CPCH_sphere(i1:i1 + size1 - 1, i2:i2 + size2 - 1) = coeff(iso1_first:iso1_last, iso2_first:iso2_last)
     298             : 
     299     2017183 :                         coeff => rho_atom_set(iatom)%cpc_s(i)%r_coef
     300    21196105 :                         CPCS_sphere(i1:i1 + size1 - 1, i2:i2 + size2 - 1) = coeff(iso1_first:iso1_last, iso2_first:iso2_last)
     301             : 
     302    14087701 :                         DO iso = 1, max_iso_not0_local
     303    12070518 :                            l_iso = indso(1, iso)
     304    36560643 :                            DO icg = 1, cg_n_list(iso)
     305    22472942 :                               iso1 = cg_list(1, icg, iso)
     306    22472942 :                               iso2 = cg_list(2, icg, iso)
     307             : 
     308    22472942 :                               l1 = indso(1, iso1)
     309    22472942 :                               l2 = indso(1, iso2)
     310             : 
     311    22472942 :                               l = indso(1, iso1) + indso(1, iso2)
     312    22472942 :                               CPASSERT(l <= lmax_expansion)
     313             : 
     314             :                               rho_atom_set(iatom)%rho_rad_h(i)%r_coef(1:nr, iso) = &
     315             :                                  rho_atom_set(iatom)%rho_rad_h(i)%r_coef(1:nr, iso) + &
     316  1254406272 :                                  gg(1:nr, l)*CPCH_sphere(iso1, iso2)*my_CG(iso1, iso2, iso)
     317             : 
     318             :                               rho_atom_set(iatom)%rho_rad_s(i)%r_coef(1:nr, iso) = &
     319             :                                  rho_atom_set(iatom)%rho_rad_s(i)%r_coef(1:nr, iso) + &
     320  1254406272 :                                  gg(1:nr, l)*CPCS_sphere(iso1, iso2)*my_CG(iso1, iso2, iso)
     321             : 
     322             :                               rho_atom_set(iatom)%drho_rad_h(i)%r_coef(1:nr, iso) = &
     323             :                                  rho_atom_set(iatom)%drho_rad_h(i)%r_coef(1:nr, iso) + &
     324  1254406272 :                                  dgg(1:nr, l)*CPCH_sphere(iso1, iso2)*my_CG(iso1, iso2, iso)
     325             : 
     326             :                               rho_atom_set(iatom)%drho_rad_s(i)%r_coef(1:nr, iso) = &
     327             :                                  rho_atom_set(iatom)%drho_rad_s(i)%r_coef(1:nr, iso) + &
     328  1254406272 :                                  dgg(1:nr, l)*CPCS_sphere(iso1, iso2)*my_CG(iso1, iso2, iso)
     329             : 
     330             :                               rho_atom_set(iatom)%vrho_rad_h(i)%r_coef(1:nr, iso) = &
     331             :                                  rho_atom_set(iatom)%vrho_rad_h(i)%r_coef(1:nr, iso) + &
     332  1254406272 :                                  vgg(1:nr, l, l_iso)*CPCH_sphere(iso1, iso2)*my_CG(iso1, iso2, iso)
     333             : 
     334             :                               rho_atom_set(iatom)%vrho_rad_s(i)%r_coef(1:nr, iso) = &
     335             :                                  rho_atom_set(iatom)%vrho_rad_s(i)%r_coef(1:nr, iso) + &
     336  1266476790 :                                  vgg(1:nr, l, l_iso)*CPCS_sphere(iso1, iso2)*my_CG(iso1, iso2, iso)
     337             : 
     338             :                            END DO ! icg
     339             : 
     340             :                         END DO ! iso
     341             : 
     342    46103095 :                         DO iso = 1, max_iso_not0 !damax_iso_not0_local
     343    42436383 :                            l_iso = indso(1, iso)
     344    80169969 :                            DO icg = 1, dacg_n_list(iso)
     345    35716403 :                               iso1 = dacg_list(1, icg, iso)
     346    35716403 :                               iso2 = dacg_list(2, icg, iso)
     347    35716403 :                               l = indso(1, iso1) + indso(1, iso2)
     348    35716403 :                               CPASSERT(l <= lmax_expansion)
     349   185301995 :                               DO j = 1, 3
     350             :                                  rho_atom_set(iatom)%rho_rad_h_d(j, i)%r_coef(1:nr, iso) = &
     351             :                                     rho_atom_set(iatom)%rho_rad_h_d(j, i)%r_coef(1:nr, iso) + &
     352  5860856229 :                                     gg_lm1(1:nr, l)*CPCH_sphere(iso1, iso2)*my_CG_dxyz(j, iso1, iso2, iso)
     353             : 
     354             :                                  rho_atom_set(iatom)%rho_rad_s_d(j, i)%r_coef(1:nr, iso) = &
     355             :                                     rho_atom_set(iatom)%rho_rad_s_d(j, i)%r_coef(1:nr, iso) + &
     356  5896572632 :                                     gg_lm1(1:nr, l)*CPCS_sphere(iso1, iso2)*my_CG_dxyz(j, iso1, iso2, iso)
     357             :                               END DO
     358             :                            END DO ! icg
     359             : 
     360             :                         END DO ! iso
     361             : 
     362             :                      END DO ! i
     363             :                   END DO ! iat
     364             : 
     365             :                END DO ! ipgf2
     366             :             END DO ! ipgf1
     367     1301112 :             m2s = m2s + maxso
     368             :          END DO ! iset2
     369      158074 :          m1s = m1s + maxso
     370             :       END DO ! iset1
     371             : 
     372       77544 :       DO iat = bo(1), bo(2)
     373       33578 :          iatom = atom_list(iat)
     374             : 
     375      116242 :          DO i = 1, nspins
     376             : 
     377      576574 :             DO iso = 1, max_iso_not0
     378             :                rho_s = 0.0_dp
     379             :                rho_h = 0.0_dp
     380    28443918 :                DO ir = 1, nr
     381    27939620 :                   rho_h = rho_h + rho_atom_set(iatom)%rho_rad_h(i)%r_coef(ir, iso)*grid_atom%wr(ir)
     382    28443918 :                   rho_s = rho_s + rho_atom_set(iatom)%rho_rad_s(i)%r_coef(ir, iso)*grid_atom%wr(ir)
     383             :                END DO ! ir
     384      504298 :                tot_rho1_h(i) = tot_rho1_h(i) + rho_h*harmonics%slm_int(iso)
     385      542996 :                tot_rho1_s(i) = tot_rho1_s(i) + rho_s*harmonics%slm_int(iso)
     386             :             END DO ! iso
     387             : 
     388             :          END DO ! ispin
     389             : 
     390             :       END DO ! iat
     391             : 
     392       43966 :       DEALLOCATE (CPCH_sphere, CPCS_sphere)
     393       43966 :       DEALLOCATE (g1, g2, gg0, gg, gg_lm1, dgg, vgg, done_vgg, erf_zet12, int1, int2)
     394       43966 :       DEALLOCATE (cg_list, cg_n_list, dacg_list, dacg_n_list)
     395       43966 :       DEALLOCATE (o2nindex)
     396             : 
     397       43966 :       CALL timestop(handle)
     398             : 
     399       87932 :    END SUBROUTINE calculate_rho_atom
     400             : 
     401             : ! **************************************************************************************************
     402             : !> \brief ...
     403             : !> \param qs_env        QuickStep environment
     404             : !>                      (accessed components: atomic_kind_set, dft_control%nimages,
     405             : !>                                            dft_control%nspins, kpoints%cell_to_index)
     406             : !> \param rho_ao        density matrix in atomic basis set
     407             : !> \param rho_atom_set ...
     408             : !> \param qs_kind_set   list of QuickStep kinds
     409             : !> \param oce           one-centre expansion coefficients
     410             : !> \param sab           neighbour pair list
     411             : !> \param para_env      parallel environment
     412             : !> \par History
     413             : !>      Add OpenMP [Apr 2016, EPCC]
     414             : !>      Use automatic arrays [Sep 2016, M Tucker]
     415             : !>      Allow for external non-default kind_set, oce and sab [Dec 2019, A Bussy]
     416             : !> \note  Consider to declare 'rho_ao' dummy argument as a pointer to the two-dimensional
     417             : !>        (1:nspins, 1:nimages) set of matrices.
     418             : ! **************************************************************************************************
     419       23926 :    SUBROUTINE calculate_rho_atom_coeff(qs_env, rho_ao, rho_atom_set, qs_kind_set, oce, sab, para_env)
     420             : 
     421             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     422             :       TYPE(dbcsr_p_type), DIMENSION(*)                   :: rho_ao
     423             :       TYPE(rho_atom_type), DIMENSION(:), POINTER         :: rho_atom_set
     424             :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     425             :       TYPE(oce_matrix_type), POINTER                     :: oce
     426             :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     427             :          POINTER                                         :: sab
     428             :       TYPE(mp_para_env_type), POINTER                    :: para_env
     429             : 
     430             :       CHARACTER(len=*), PARAMETER :: routineN = 'calculate_rho_atom_coeff'
     431             : 
     432             :       INTEGER :: bo(2), handle, i, iac, iatom, ibc, icol, ikind, img, irow, ispin, jatom, jkind, &
     433             :          kac, katom, kbc, kkind, len_CPC, len_PC1, max_gau, max_nsgf, mepos, n_cont_a, n_cont_b, &
     434             :          nat_kind, natom, nimages, nkind, nsatbas, nsoctot, nspins, num_pe
     435       23926 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: kind_of
     436             :       INTEGER, DIMENSION(3)                              :: cell_b
     437       23926 :       INTEGER, DIMENSION(:), POINTER                     :: a_list, list_a, list_b
     438       23926 :       INTEGER, DIMENSION(:, :, :), POINTER               :: cell_to_index
     439             :       LOGICAL                                            :: dista, distab, distb, found, paw_atom
     440       23926 :       REAL(dp), ALLOCATABLE, DIMENSION(:, :)             :: p_matrix
     441             :       REAL(KIND=dp)                                      :: eps_cpc, factor, pmax
     442             :       REAL(KIND=dp), DIMENSION(3)                        :: rab
     443       23926 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: C_coeff_hh_a, C_coeff_hh_b, &
     444       23926 :                                                             C_coeff_ss_a, C_coeff_ss_b, r_coef_h, &
     445       23926 :                                                             r_coef_s
     446             :       TYPE(alist_type), POINTER                          :: alist_ac, alist_bc
     447       23926 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     448             :       TYPE(dft_control_type), POINTER                    :: dft_control
     449       23926 :       TYPE(gto_basis_set_p_type), DIMENSION(:), POINTER  :: basis_set_list
     450             :       TYPE(gto_basis_set_type), POINTER                  :: basis_1c, basis_set_a, basis_set_b
     451             :       TYPE(kpoint_type), POINTER                         :: kpoints
     452             :       TYPE(neighbor_list_iterator_p_type), &
     453       23926 :          DIMENSION(:), POINTER                           :: nl_iterator
     454       23926 :       TYPE(rho_atom_coeff), DIMENSION(:), POINTER        :: p_block_spin
     455             : 
     456       23926 : !$    INTEGER(kind=omp_lock_kind), ALLOCATABLE, DIMENSION(:) :: locks
     457             : !$    INTEGER                                            :: lock, number_of_locks
     458             : 
     459       23926 :       CALL timeset(routineN, handle)
     460             : 
     461             :       CALL get_qs_env(qs_env=qs_env, &
     462             :                       dft_control=dft_control, &
     463       23926 :                       atomic_kind_set=atomic_kind_set)
     464             : 
     465       23926 :       eps_cpc = dft_control%qs_control%gapw_control%eps_cpc
     466             : 
     467       23926 :       CPASSERT(ASSOCIATED(qs_kind_set))
     468       23926 :       CPASSERT(ASSOCIATED(rho_atom_set))
     469       23926 :       CPASSERT(ASSOCIATED(oce))
     470       23926 :       CPASSERT(ASSOCIATED(sab))
     471             : 
     472       23926 :       nspins = dft_control%nspins
     473       23926 :       nimages = dft_control%nimages
     474             : 
     475       23926 :       NULLIFY (cell_to_index)
     476       23926 :       IF (nimages > 1) THEN
     477         228 :          CALL get_qs_env(qs_env=qs_env, kpoints=kpoints)
     478         228 :          CALL get_kpoint_info(kpoint=kpoints, cell_to_index=cell_to_index)
     479             :       END IF
     480             : 
     481       23926 :       CALL get_atomic_kind_set(atomic_kind_set, natom=natom)
     482       23926 :       CALL get_qs_kind_set(qs_kind_set, maxsgf=max_nsgf, maxgtops=max_gau, basis_type='GAPW_1C')
     483             : 
     484       23926 :       nkind = SIZE(atomic_kind_set)
     485             :       !   Initialize to 0 the CPC coefficients and the local density arrays
     486       73740 :       DO ikind = 1, nkind
     487       49814 :          CALL get_atomic_kind(atomic_kind_set(ikind), atom_list=a_list, natom=nat_kind)
     488       49814 :          CALL get_qs_kind(qs_kind_set(ikind), paw_atom=paw_atom)
     489             : 
     490       49814 :          IF (.NOT. paw_atom) CYCLE
     491      115126 :          DO i = 1, nat_kind
     492       69614 :             iatom = a_list(i)
     493      195568 :             DO ispin = 1, nspins
     494    31208442 :                rho_atom_set(iatom)%cpc_h(ispin)%r_coef = 0.0_dp
     495    31278056 :                rho_atom_set(iatom)%cpc_s(ispin)%r_coef = 0.0_dp
     496             :             END DO ! ispin
     497             :          END DO ! i
     498             : 
     499       45512 :          num_pe = para_env%num_pe
     500       45512 :          mepos = para_env%mepos
     501       45512 :          bo = get_limit(nat_kind, num_pe, mepos)
     502      154059 :          DO i = bo(1), bo(2)
     503       34807 :             iatom = a_list(i)
     504      124842 :             DO ispin = 1, nspins
     505    89617425 :                rho_atom_set(iatom)%ga_Vlocal_gb_h(ispin)%r_coef = 0.0_dp
     506    89652232 :                rho_atom_set(iatom)%ga_Vlocal_gb_s(ispin)%r_coef = 0.0_dp
     507             :             END DO ! ispin
     508             :          END DO ! i
     509             :       END DO ! ikind
     510             : 
     511      121592 :       ALLOCATE (basis_set_list(nkind))
     512       73740 :       DO ikind = 1, nkind
     513       49814 :          CALL get_qs_kind(qs_kind_set(ikind), basis_set=basis_set_a)
     514       73740 :          IF (ASSOCIATED(basis_set_a)) THEN
     515       49814 :             basis_set_list(ikind)%gto_basis_set => basis_set_a
     516             :          ELSE
     517           0 :             NULLIFY (basis_set_list(ikind)%gto_basis_set)
     518             :          END IF
     519             :       END DO
     520             : 
     521       23926 :       len_PC1 = max_nsgf*max_gau
     522       23926 :       len_CPC = max_gau*max_gau
     523             : 
     524             :       num_pe = 1
     525       23926 : !$    num_pe = omp_get_max_threads()
     526       23926 :       CALL neighbor_list_iterator_create(nl_iterator, sab, nthread=num_pe)
     527             : 
     528             : !$OMP PARALLEL DEFAULT( NONE )                            &
     529             : !$OMP           SHARED( max_nsgf, max_gau                 &
     530             : !$OMP                 , len_PC1, len_CPC                  &
     531             : !$OMP                 , nl_iterator, basis_set_list       &
     532             : !$OMP                 , nimages, cell_to_index            &
     533             : !$OMP                 , nspins, rho_ao                    &
     534             : !$OMP                 , nkind, qs_kind_set                &
     535             : !$OMP                 , oce, eps_cpc                      &
     536             : !$OMP                 , rho_atom_set                      &
     537             : !$OMP                 , natom, locks, number_of_locks     &
     538             : !$OMP                 )                                   &
     539             : !$OMP          PRIVATE( p_block_spin, ispin               &
     540             : !$OMP                 , p_matrix, mepos                   &
     541             : !$OMP                 , ikind, jkind, iatom, jatom        &
     542             : !$OMP                 , cell_b, rab, basis_1c             &
     543             : !$OMP                 , basis_set_a, basis_set_b          &
     544             : !$OMP                 , pmax, irow, icol, img             &
     545             : !$OMP                 , found                             &
     546             : !$OMP                 , kkind                             &
     547             : !$OMP                 , paw_atom, nsatbas                 &
     548             : !$OMP                 , nsoctot, katom                    &
     549             : !$OMP                 , iac , alist_ac, kac, n_cont_a, list_a     &
     550             : !$OMP                 , ibc , alist_bc, kbc, n_cont_b, list_b     &
     551             : !$OMP                 , C_coeff_hh_a, C_coeff_ss_a, dista         &
     552             : !$OMP                 , C_coeff_hh_b, C_coeff_ss_b, distb         &
     553             : !$OMP                 , distab                                    &
     554             : !$OMP                 , factor, r_coef_h, r_coef_s                &
     555       23926 : !$OMP                 )
     556             : 
     557             :       ALLOCATE (p_block_spin(nspins))
     558             :       ALLOCATE (p_matrix(max_nsgf, max_nsgf))
     559             : 
     560             : !$OMP SINGLE
     561             : !$    number_of_locks = nspins*natom
     562             : !$    ALLOCATE (locks(number_of_locks))
     563             : !$OMP END SINGLE
     564             : 
     565             : !$OMP DO
     566             : !$    DO lock = 1, number_of_locks
     567             : !$       call omp_init_lock(locks(lock))
     568             : !$    END DO
     569             : !$OMP END DO
     570             : 
     571             :       mepos = 0
     572             : !$    mepos = omp_get_thread_num()
     573             :       DO WHILE (neighbor_list_iterate(nl_iterator, mepos=mepos) == 0)
     574             : 
     575             :          CALL get_iterator_info(nl_iterator, mepos=mepos, &
     576             :                                 ikind=ikind, jkind=jkind, &
     577             :                                 iatom=iatom, jatom=jatom, &
     578             :                                 cell=cell_b, r=rab)
     579             : 
     580             :          basis_set_a => basis_set_list(ikind)%gto_basis_set
     581             :          IF (.NOT. ASSOCIATED(basis_set_a)) CYCLE
     582             :          basis_set_b => basis_set_list(jkind)%gto_basis_set
     583             :          IF (.NOT. ASSOCIATED(basis_set_b)) CYCLE
     584             : 
     585             :          pmax = 0._dp
     586             :          IF (iatom <= jatom) THEN
     587             :             irow = iatom
     588             :             icol = jatom
     589             :          ELSE
     590             :             irow = jatom
     591             :             icol = iatom
     592             :          END IF
     593             : 
     594             :          IF (nimages > 1) THEN
     595             :             img = cell_to_index(cell_b(1), cell_b(2), cell_b(3))
     596             :             CPASSERT(img > 0)
     597             :          ELSE
     598             :             img = 1
     599             :          END IF
     600             : 
     601             :          DO ispin = 1, nspins
     602             :             CALL dbcsr_get_block_p(matrix=rho_ao(nspins*(img - 1) + ispin)%matrix, &
     603             :                                    row=irow, col=icol, BLOCK=p_block_spin(ispin)%r_coef, &
     604             :                                    found=found)
     605             :             pmax = pmax + MAXVAL(ABS(p_block_spin(ispin)%r_coef))
     606             :          END DO
     607             : 
     608             :          DO kkind = 1, nkind
     609             :             CALL get_qs_kind(qs_kind_set(kkind), basis_set=basis_1c, basis_type="GAPW_1C", &
     610             :                              paw_atom=paw_atom)
     611             : 
     612             :             IF (.NOT. paw_atom) CYCLE
     613             : 
     614             :             CALL get_paw_basis_info(basis_1c, nsatbas=nsatbas)
     615             :             nsoctot = nsatbas
     616             : 
     617             :             iac = ikind + nkind*(kkind - 1)
     618             :             ibc = jkind + nkind*(kkind - 1)
     619             :             IF (.NOT. ASSOCIATED(oce%intac(iac)%alist)) CYCLE
     620             :             IF (.NOT. ASSOCIATED(oce%intac(ibc)%alist)) CYCLE
     621             : 
     622             :             CALL get_alist(oce%intac(iac), alist_ac, iatom)
     623             :             CALL get_alist(oce%intac(ibc), alist_bc, jatom)
     624             :             IF (.NOT. ASSOCIATED(alist_ac)) CYCLE
     625             :             IF (.NOT. ASSOCIATED(alist_bc)) CYCLE
     626             : 
     627             :             DO kac = 1, alist_ac%nclist
     628             :                DO kbc = 1, alist_bc%nclist
     629             :                   IF (alist_ac%clist(kac)%catom /= alist_bc%clist(kbc)%catom) CYCLE
     630             :                   IF (ALL(cell_b + alist_bc%clist(kbc)%cell - alist_ac%clist(kac)%cell == 0)) THEN
     631             :                      IF (pmax*alist_bc%clist(kbc)%maxac*alist_ac%clist(kac)%maxac < eps_cpc) CYCLE
     632             : 
     633             :                      n_cont_a = alist_ac%clist(kac)%nsgf_cnt
     634             :                      n_cont_b = alist_bc%clist(kbc)%nsgf_cnt
     635             :                      IF (n_cont_a .EQ. 0 .OR. n_cont_b .EQ. 0) CYCLE
     636             : 
     637             :                      list_a => alist_ac%clist(kac)%sgf_list
     638             :                      list_b => alist_bc%clist(kbc)%sgf_list
     639             : 
     640             :                      katom = alist_ac%clist(kac)%catom
     641             : 
     642             :                      IF (iatom == katom .AND. ALL(alist_ac%clist(kac)%cell == 0)) THEN
     643             :                         C_coeff_hh_a => alist_ac%clist(kac)%achint(:, :, 1)
     644             :                         C_coeff_ss_a => alist_ac%clist(kac)%acint(:, :, 1)
     645             :                         dista = .FALSE.
     646             :                      ELSE
     647             :                         C_coeff_hh_a => alist_ac%clist(kac)%acint(:, :, 1)
     648             :                         C_coeff_ss_a => alist_ac%clist(kac)%acint(:, :, 1)
     649             :                         dista = .TRUE.
     650             :                      END IF
     651             :                      IF (jatom == katom .AND. ALL(alist_bc%clist(kbc)%cell == 0)) THEN
     652             :                         C_coeff_hh_b => alist_bc%clist(kbc)%achint(:, :, 1)
     653             :                         C_coeff_ss_b => alist_bc%clist(kbc)%acint(:, :, 1)
     654             :                         distb = .FALSE.
     655             :                      ELSE
     656             :                         C_coeff_hh_b => alist_bc%clist(kbc)%acint(:, :, 1)
     657             :                         C_coeff_ss_b => alist_bc%clist(kbc)%acint(:, :, 1)
     658             :                         distb = .TRUE.
     659             :                      END IF
     660             : 
     661             :                      distab = dista .AND. distb
     662             : 
     663             :                      DO ispin = 1, nspins
     664             : 
     665             :                         IF (iatom <= jatom) THEN
     666             :                            CALL alist_pre_align_blk(p_block_spin(ispin)%r_coef, &
     667             :                                                     SIZE(p_block_spin(ispin)%r_coef, 1), p_matrix, SIZE(p_matrix, 1), &
     668             :                                                     list_a, n_cont_a, list_b, n_cont_b)
     669             :                         ELSE
     670             :                            CALL alist_pre_align_blk(p_block_spin(ispin)%r_coef, &
     671             :                                                     SIZE(p_block_spin(ispin)%r_coef, 1), p_matrix, SIZE(p_matrix, 1), &
     672             :                                                     list_b, n_cont_b, list_a, n_cont_a)
     673             :                         END IF
     674             : 
     675             :                         factor = 1.0_dp
     676             :                         IF (iatom == jatom) factor = 0.5_dp
     677             : 
     678             :                         r_coef_h => rho_atom_set(katom)%cpc_h(ispin)%r_coef
     679             :                         r_coef_s => rho_atom_set(katom)%cpc_s(ispin)%r_coef
     680             : 
     681             : !$                      CALL omp_set_lock(locks((katom - 1)*nspins + ispin))
     682             :                         IF (iatom <= jatom) THEN
     683             :                            CALL proj_blk(C_coeff_hh_a, C_coeff_ss_a, n_cont_a, &
     684             :                                          C_coeff_hh_b, C_coeff_ss_b, n_cont_b, &
     685             :                                          p_matrix, max_nsgf, r_coef_h, r_coef_s, nsoctot, &
     686             :                                          len_PC1, len_CPC, factor, distab)
     687             :                         ELSE
     688             :                            CALL proj_blk(C_coeff_hh_b, C_coeff_ss_b, n_cont_b, &
     689             :                                          C_coeff_hh_a, C_coeff_ss_a, n_cont_a, &
     690             :                                          p_matrix, max_nsgf, r_coef_h, r_coef_s, nsoctot, &
     691             :                                          len_PC1, len_CPC, factor, distab)
     692             :                         END IF
     693             : !$                      CALL omp_unset_lock(locks((katom - 1)*nspins + ispin))
     694             : 
     695             :                      END DO
     696             :                      EXIT !search loop over jatom-katom list
     697             :                   END IF
     698             :                END DO
     699             :             END DO
     700             :          END DO
     701             :       END DO
     702             :       ! Wait for all threads to finish the loop before locks can be freed
     703             : !$OMP BARRIER
     704             : 
     705             : !$OMP DO
     706             : !$    DO lock = 1, number_of_locks
     707             : !$       call omp_destroy_lock(locks(lock))
     708             : !$    END DO
     709             : !$OMP END DO
     710             : !$OMP SINGLE
     711             : !$    DEALLOCATE (locks)
     712             : !$OMP END SINGLE NOWAIT
     713             : 
     714             :       DEALLOCATE (p_block_spin, p_matrix)
     715             : !$OMP END PARALLEL
     716             : 
     717       23926 :       CALL neighbor_list_iterator_release(nl_iterator)
     718             : 
     719       23926 :       CALL get_atomic_kind_set(atomic_kind_set, kind_of=kind_of)
     720             : 
     721      103780 :       DO iatom = 1, natom
     722       79854 :          ikind = kind_of(iatom)
     723             : 
     724      195660 :          DO ispin = 1, nspins
     725      171734 :             IF (ASSOCIATED(rho_atom_set(iatom)%cpc_h(ispin)%r_coef)) THEN
     726    62336442 :                CALL para_env%sum(rho_atom_set(iatom)%cpc_h(ispin)%r_coef)
     727    62336442 :                CALL para_env%sum(rho_atom_set(iatom)%cpc_s(ispin)%r_coef)
     728       80442 :                r_coef_h => rho_atom_set(iatom)%cpc_h(ispin)%r_coef
     729       80442 :                r_coef_s => rho_atom_set(iatom)%cpc_s(ispin)%r_coef
     730    62416884 :                r_coef_h(:, :) = r_coef_h(:, :) + TRANSPOSE(r_coef_h(:, :))
     731    62416884 :                r_coef_s(:, :) = r_coef_s(:, :) + TRANSPOSE(r_coef_s(:, :))
     732             :             END IF
     733             :          END DO
     734             : 
     735             :       END DO
     736             : 
     737       23926 :       DEALLOCATE (kind_of, basis_set_list)
     738             : 
     739       23926 :       CALL timestop(handle)
     740             : 
     741       71778 :    END SUBROUTINE calculate_rho_atom_coeff
     742             : 
     743             : ! **************************************************************************************************
     744             : !> \brief ...
     745             : !> \param rho_atom_set    the type to initialize
     746             : !> \param atomic_kind_set list of atomic kinds
     747             : !> \param qs_kind_set     the kind set from which to take quantum numbers and basis info
     748             : !> \param dft_control     DFT control type
     749             : !> \param para_env        parallel environment
     750             : !> \par History:
     751             : !>      - Generalised by providing the rho_atom_set and the qs_kind_set 12.2019 (A.Bussy)
     752             : ! **************************************************************************************************
     753        1004 :    SUBROUTINE init_rho_atom(rho_atom_set, atomic_kind_set, qs_kind_set, dft_control, para_env)
     754             : 
     755             :       TYPE(rho_atom_type), DIMENSION(:), POINTER         :: rho_atom_set
     756             :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     757             :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     758             :       TYPE(dft_control_type), POINTER                    :: dft_control
     759             :       TYPE(mp_para_env_type), POINTER                    :: para_env
     760             : 
     761             :       CHARACTER(len=*), PARAMETER                        :: routineN = 'init_rho_atom'
     762             : 
     763             :       INTEGER :: handle, ikind, il, iso, iso1, iso2, l1, l1l2, l2, la, lc1, lc2, lcleb, ll, llmax, &
     764             :          lmax_sphere, lp, m1, m2, max_s_harm, max_s_set, maxl, maxlgto, maxs, mm, mp, na, nat, &
     765             :          natom, nr, nspins, quadrature
     766        1004 :       INTEGER, DIMENSION(:), POINTER                     :: atom_list
     767             :       LOGICAL                                            :: paw_atom
     768             :       REAL(dp), ALLOCATABLE, DIMENSION(:, :)             :: rga
     769        1004 :       REAL(dp), DIMENSION(:, :, :), POINTER              :: my_CG
     770             :       TYPE(gapw_control_type), POINTER                   :: gapw_control
     771             :       TYPE(grid_atom_type), POINTER                      :: grid_atom
     772             :       TYPE(gto_basis_set_type), POINTER                  :: basis_1c_set
     773             :       TYPE(harmonics_atom_type), POINTER                 :: harmonics
     774             : 
     775        1004 :       CALL timeset(routineN, handle)
     776             : 
     777        1004 :       NULLIFY (basis_1c_set)
     778        1004 :       NULLIFY (my_CG, grid_atom, harmonics, atom_list)
     779             : 
     780        1004 :       CPASSERT(ASSOCIATED(atomic_kind_set))
     781        1004 :       CPASSERT(ASSOCIATED(dft_control))
     782        1004 :       CPASSERT(ASSOCIATED(para_env))
     783        1004 :       CPASSERT(ASSOCIATED(qs_kind_set))
     784             : 
     785        1004 :       CALL get_atomic_kind_set(atomic_kind_set, natom=natom)
     786             : 
     787        1004 :       CALL get_qs_kind_set(qs_kind_set, maxlgto=maxlgto, basis_type="GAPW_1C")
     788             : 
     789        1004 :       nspins = dft_control%nspins
     790        1004 :       gapw_control => dft_control%qs_control%gapw_control
     791             : 
     792        1004 :       lmax_sphere = gapw_control%lmax_sphere
     793             : 
     794        1004 :       llmax = MIN(lmax_sphere, 2*maxlgto)
     795        1004 :       max_s_harm = nsoset(llmax)
     796        1004 :       max_s_set = nsoset(maxlgto)
     797             : 
     798        1004 :       lcleb = MAX(llmax, 2*maxlgto, 1)
     799             : 
     800             : !   *** allocate calculate the CG coefficients up to the maxl ***
     801        1004 :       CALL clebsch_gordon_init(lcleb)
     802        1004 :       CALL reallocate(my_CG, 1, max_s_set, 1, max_s_set, 1, max_s_harm)
     803             : 
     804        3012 :       ALLOCATE (rga(lcleb, 2))
     805        3658 :       DO lc1 = 0, maxlgto
     806       11152 :          DO iso1 = nsoset(lc1 - 1) + 1, nsoset(lc1)
     807        7494 :             l1 = indso(1, iso1)
     808        7494 :             m1 = indso(2, iso1)
     809       32302 :             DO lc2 = 0, maxlgto
     810       97838 :                DO iso2 = nsoset(lc2 - 1) + 1, nsoset(lc2)
     811       68190 :                   l2 = indso(1, iso2)
     812       68190 :                   m2 = indso(2, iso2)
     813       68190 :                   CALL clebsch_gordon(l1, m1, l2, m2, rga)
     814       68190 :                   IF (l1 + l2 > llmax) THEN
     815             :                      l1l2 = llmax
     816             :                   ELSE
     817             :                      l1l2 = l1 + l2
     818             :                   END IF
     819       68190 :                   mp = m1 + m2
     820       68190 :                   mm = m1 - m2
     821       68190 :                   IF (m1*m2 < 0 .OR. (m1*m2 == 0 .AND. (m1 < 0 .OR. m2 < 0))) THEN
     822       30348 :                      mp = -ABS(mp)
     823       30348 :                      mm = -ABS(mm)
     824             :                   ELSE
     825       37842 :                      mp = ABS(mp)
     826       37842 :                      mm = ABS(mm)
     827             :                   END IF
     828      250032 :                   DO lp = MOD(l1 + l2, 2), l1l2, 2
     829      159688 :                      il = lp/2 + 1
     830      159688 :                      IF (ABS(mp) <= lp) THEN
     831      112392 :                      IF (mp >= 0) THEN
     832       73840 :                         iso = nsoset(lp - 1) + lp + 1 + mp
     833             :                      ELSE
     834       38552 :                         iso = nsoset(lp - 1) + lp + 1 - ABS(mp)
     835             :                      END IF
     836      112392 :                      my_CG(iso1, iso2, iso) = rga(il, 1)
     837             :                      END IF
     838      227878 :                      IF (mp /= mm .AND. ABS(mm) <= lp) THEN
     839       55840 :                      IF (mm >= 0) THEN
     840       37116 :                         iso = nsoset(lp - 1) + lp + 1 + mm
     841             :                      ELSE
     842       18724 :                         iso = nsoset(lp - 1) + lp + 1 - ABS(mm)
     843             :                      END IF
     844       55840 :                      my_CG(iso1, iso2, iso) = rga(il, 2)
     845             :                      END IF
     846             :                   END DO
     847             :                END DO ! iso2
     848             :             END DO ! lc2
     849             :          END DO ! iso1
     850             :       END DO ! lc1
     851        1004 :       DEALLOCATE (rga)
     852        1004 :       CALL clebsch_gordon_deallocate()
     853             : 
     854             : !   *** initialize the Lebedev grids ***
     855        1004 :       CALL init_lebedev_grids()
     856        1004 :       quadrature = gapw_control%quadrature
     857             : 
     858        2932 :       DO ikind = 1, SIZE(atomic_kind_set)
     859        1928 :          CALL get_atomic_kind(atomic_kind_set(ikind), atom_list=atom_list, natom=nat)
     860             :          CALL get_qs_kind(qs_kind_set(ikind), &
     861             :                           paw_atom=paw_atom, &
     862             :                           grid_atom=grid_atom, &
     863             :                           harmonics=harmonics, &
     864        1928 :                           ngrid_rad=nr, ngrid_ang=na)
     865             : 
     866             : !     *** determine the Lebedev grid for this kind ***
     867             : 
     868        1928 :          ll = get_number_of_lebedev_grid(n=na)
     869        1928 :          na = lebedev_grid(ll)%n
     870        1928 :          la = lebedev_grid(ll)%l
     871        1928 :          grid_atom%ng_sphere = na
     872        1928 :          grid_atom%nr = nr
     873             : 
     874        1928 :          IF (llmax > la) THEN
     875           0 :             WRITE (*, '(/,72("*"))')
     876             :             WRITE (*, '(T2,A,T66,I4)') &
     877           0 :                "WARNING: the lebedev grid is built for angular momentum l up to ", la, &
     878           0 :                "         the max l of spherical harmonics is larger, l_max = ", llmax, &
     879           0 :                "         good integration is guaranteed only for l <= ", la
     880           0 :             WRITE (*, '(72("*"),/)')
     881             :          END IF
     882             : 
     883             : !     *** calculate the radial grid ***
     884        1928 :          CALL create_grid_atom(grid_atom, nr, na, llmax, ll, quadrature)
     885             : 
     886             : !     *** calculate the spherical harmonics on the grid ***
     887             : 
     888        1928 :          CALL get_qs_kind(qs_kind_set(ikind), basis_set=basis_1c_set, basis_type="GAPW_1C")
     889        1928 :          CALL get_gto_basis_set(gto_basis_set=basis_1c_set, maxl=maxl)
     890        1928 :          maxs = nsoset(maxl)
     891             :          CALL create_harmonics_atom(harmonics, &
     892             :                                     my_CG, na, llmax, maxs, max_s_harm, ll, grid_atom%wa, &
     893        1928 :                                     grid_atom%azi, grid_atom%pol)
     894        6788 :          CALL get_maxl_CG(harmonics, basis_1c_set, llmax, max_s_harm)
     895             : 
     896             :       END DO
     897             : 
     898        1004 :       CALL deallocate_lebedev_grids()
     899        1004 :       DEALLOCATE (my_CG)
     900             : 
     901        1004 :       CALL allocate_rho_atom_internals(rho_atom_set, atomic_kind_set, qs_kind_set, dft_control, para_env)
     902             : 
     903        1004 :       CALL timestop(handle)
     904             : 
     905        2008 :    END SUBROUTINE init_rho_atom
     906             : 
     907             : ! **************************************************************************************************
     908             : !> \brief ...
     909             : !> \param rho_atom_set ...
     910             : !> \param atomic_kind_set list of atomic kinds
     911             : !> \param qs_kind_set     the kind set from which to take quantum numbers and basis info
     912             : !> \param dft_control     DFT control type
     913             : !> \param para_env        parallel environment
     914             : ! **************************************************************************************************
     915        2616 :    SUBROUTINE allocate_rho_atom_internals(rho_atom_set, atomic_kind_set, qs_kind_set, dft_control, para_env)
     916             : 
     917             :       TYPE(rho_atom_type), DIMENSION(:), POINTER         :: rho_atom_set
     918             :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     919             :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     920             :       TYPE(dft_control_type), POINTER                    :: dft_control
     921             :       TYPE(mp_para_env_type), POINTER                    :: para_env
     922             : 
     923             :       CHARACTER(len=*), PARAMETER :: routineN = 'allocate_rho_atom_internals'
     924             : 
     925             :       INTEGER                                            :: bo(2), handle, iat, iatom, ikind, ispin, &
     926             :                                                             max_iso_not0, maxso, mepos, nat, &
     927             :                                                             natom, nsatbas, nset, nsotot, nspins, &
     928             :                                                             num_pe
     929        2616 :       INTEGER, DIMENSION(:), POINTER                     :: atom_list
     930             :       LOGICAL                                            :: paw_atom
     931             :       TYPE(gto_basis_set_type), POINTER                  :: basis_1c
     932             :       TYPE(harmonics_atom_type), POINTER                 :: harmonics
     933             : 
     934        2616 :       CALL timeset(routineN, handle)
     935             : 
     936        2616 :       CPASSERT(ASSOCIATED(atomic_kind_set))
     937        2616 :       CPASSERT(ASSOCIATED(dft_control))
     938        2616 :       CPASSERT(ASSOCIATED(para_env))
     939        2616 :       CPASSERT(ASSOCIATED(qs_kind_set))
     940             : 
     941        2616 :       CALL get_atomic_kind_set(atomic_kind_set, natom=natom)
     942             : 
     943        2616 :       nspins = dft_control%nspins
     944             : 
     945        2616 :       IF (ASSOCIATED(rho_atom_set)) THEN
     946           0 :          CALL deallocate_rho_atom_set(rho_atom_set)
     947             :       END IF
     948       16558 :       ALLOCATE (rho_atom_set(natom))
     949             : 
     950        8078 :       DO ikind = 1, SIZE(atomic_kind_set)
     951             : 
     952        5462 :          NULLIFY (atom_list, harmonics)
     953        5462 :          CALL get_atomic_kind(atomic_kind_set(ikind), atom_list=atom_list, natom=nat)
     954             :          CALL get_qs_kind(qs_kind_set(ikind), &
     955             :                           paw_atom=paw_atom, &
     956        5462 :                           harmonics=harmonics)
     957             : 
     958        5462 :          IF (paw_atom) THEN
     959        4912 :             CALL get_qs_kind(qs_kind_set(ikind), basis_set=basis_1c, basis_type="GAPW_1C")
     960        4912 :             CALL get_gto_basis_set(gto_basis_set=basis_1c, nset=nset, maxso=maxso)
     961        4912 :             nsotot = nset*maxso
     962        4912 :             CALL get_paw_basis_info(basis_1c, nsatbas=nsatbas)
     963             :          END IF
     964             : 
     965        5462 :          max_iso_not0 = harmonics%max_iso_not0
     966       14172 :          DO iat = 1, nat
     967        8710 :             iatom = atom_list(iat)
     968             :             !       *** allocate the radial density for each LM,for each atom ***
     969             : 
     970       35986 :             ALLOCATE (rho_atom_set(iatom)%rho_rad_h(nspins))
     971       27276 :             ALLOCATE (rho_atom_set(iatom)%rho_rad_s(nspins))
     972       27276 :             ALLOCATE (rho_atom_set(iatom)%vrho_rad_h(nspins))
     973       27276 :             ALLOCATE (rho_atom_set(iatom)%vrho_rad_s(nspins))
     974             : 
     975             :             ALLOCATE (rho_atom_set(iatom)%cpc_h(nspins), &
     976             :                       rho_atom_set(iatom)%cpc_s(nspins), &
     977             :                       rho_atom_set(iatom)%drho_rad_h(nspins), &
     978             :                       rho_atom_set(iatom)%drho_rad_s(nspins), &
     979             :                       rho_atom_set(iatom)%rho_rad_h_d(3, nspins), &
     980      187952 :                       rho_atom_set(iatom)%rho_rad_s_d(3, nspins))
     981             :             ALLOCATE (rho_atom_set(iatom)%int_scr_h(nspins), &
     982       45842 :                       rho_atom_set(iatom)%int_scr_s(nspins))
     983             : 
     984       14172 :             IF (paw_atom) THEN
     985       16102 :                DO ispin = 1, nspins
     986             :                   ALLOCATE (rho_atom_set(iatom)%cpc_h(ispin)%r_coef(1:nsatbas, 1:nsatbas), &
     987       51588 :                             rho_atom_set(iatom)%cpc_s(ispin)%r_coef(1:nsatbas, 1:nsatbas))
     988             :                   ALLOCATE (rho_atom_set(iatom)%int_scr_h(ispin)%r_coef(1:nsatbas, 1:nsatbas), &
     989       42990 :                             rho_atom_set(iatom)%int_scr_s(ispin)%r_coef(1:nsatbas, 1:nsatbas))
     990             : 
     991     3358490 :                   rho_atom_set(iatom)%cpc_h(ispin)%r_coef = 0.0_dp
     992     3365994 :                   rho_atom_set(iatom)%cpc_s(ispin)%r_coef = 0.0_dp
     993             :                END DO
     994             :             END IF
     995             : 
     996             :          END DO ! iat
     997             : 
     998        5462 :          num_pe = para_env%num_pe
     999        5462 :          mepos = para_env%mepos
    1000        5462 :          bo = get_limit(nat, num_pe, mepos)
    1001       17895 :          DO iat = bo(1), bo(2)
    1002        4355 :             iatom = atom_list(iat)
    1003             :             ALLOCATE (rho_atom_set(iatom)%ga_Vlocal_gb_h(nspins), &
    1004       27276 :                       rho_atom_set(iatom)%ga_Vlocal_gb_s(nspins))
    1005        9817 :             IF (paw_atom) THEN
    1006        8051 :                DO ispin = 1, nspins
    1007             :                   CALL reallocate(rho_atom_set(iatom)%ga_Vlocal_gb_h(ispin)%r_coef, &
    1008        4299 :                                   1, nsotot, 1, nsotot)
    1009             :                   CALL reallocate(rho_atom_set(iatom)%ga_Vlocal_gb_s(ispin)%r_coef, &
    1010        4299 :                                   1, nsotot, 1, nsotot)
    1011             : 
    1012    10801681 :                   rho_atom_set(iatom)%ga_Vlocal_gb_h(ispin)%r_coef = 0.0_dp
    1013    10805433 :                   rho_atom_set(iatom)%ga_Vlocal_gb_s(ispin)%r_coef = 0.0_dp
    1014             :                END DO
    1015             :             END IF
    1016             : 
    1017             :          END DO ! iat
    1018             : 
    1019             :       END DO
    1020             : 
    1021        2616 :       CALL timestop(handle)
    1022             : 
    1023        5232 :    END SUBROUTINE allocate_rho_atom_internals
    1024             : 
    1025             : ! **************************************************************************************************
    1026             : !> \brief ...
    1027             : !> \param rho_atom_set ...
    1028             : !> \param iatom ...
    1029             : !> \param ispin ...
    1030             : !> \param nr ...
    1031             : !> \param max_iso_not0 ...
    1032             : ! **************************************************************************************************
    1033        4114 :    SUBROUTINE allocate_rho_atom_rad(rho_atom_set, iatom, ispin, nr, max_iso_not0)
    1034             : 
    1035             :       TYPE(rho_atom_type), DIMENSION(:), POINTER         :: rho_atom_set
    1036             :       INTEGER, INTENT(IN)                                :: iatom, ispin, nr, max_iso_not0
    1037             : 
    1038             :       CHARACTER(len=*), PARAMETER :: routineN = 'allocate_rho_atom_rad'
    1039             : 
    1040             :       INTEGER                                            :: handle, j
    1041             : 
    1042        4114 :       CALL timeset(routineN, handle)
    1043             : 
    1044             :       ALLOCATE (rho_atom_set(iatom)%rho_rad_h(ispin)%r_coef(1:nr, 1:max_iso_not0), &
    1045             :                 rho_atom_set(iatom)%rho_rad_s(ispin)%r_coef(1:nr, 1:max_iso_not0), &
    1046             :                 rho_atom_set(iatom)%vrho_rad_h(ispin)%r_coef(1:nr, 1:max_iso_not0), &
    1047       53482 :                 rho_atom_set(iatom)%vrho_rad_s(ispin)%r_coef(1:nr, 1:max_iso_not0))
    1048             : 
    1049     3121938 :       rho_atom_set(iatom)%rho_rad_h(ispin)%r_coef = 0.0_dp
    1050     3121938 :       rho_atom_set(iatom)%rho_rad_s(ispin)%r_coef = 0.0_dp
    1051     3121938 :       rho_atom_set(iatom)%vrho_rad_h(ispin)%r_coef = 0.0_dp
    1052     3121938 :       rho_atom_set(iatom)%vrho_rad_s(ispin)%r_coef = 0.0_dp
    1053             : 
    1054             :       ALLOCATE (rho_atom_set(iatom)%drho_rad_h(ispin)%r_coef(nr, max_iso_not0), &
    1055       28798 :                 rho_atom_set(iatom)%drho_rad_s(ispin)%r_coef(nr, max_iso_not0))
    1056     3121938 :       rho_atom_set(iatom)%drho_rad_h(ispin)%r_coef = 0.0_dp
    1057     3121938 :       rho_atom_set(iatom)%drho_rad_s(ispin)%r_coef = 0.0_dp
    1058             : 
    1059       16456 :       DO j = 1, 3
    1060             :          ALLOCATE (rho_atom_set(iatom)%rho_rad_h_d(j, ispin)%r_coef(nr, max_iso_not0), &
    1061       86394 :                    rho_atom_set(iatom)%rho_rad_s_d(j, ispin)%r_coef(nr, max_iso_not0))
    1062     9365814 :          rho_atom_set(iatom)%rho_rad_h_d(j, ispin)%r_coef = 0.0_dp
    1063     9369928 :          rho_atom_set(iatom)%rho_rad_s_d(j, ispin)%r_coef = 0.0_dp
    1064             :       END DO
    1065             : 
    1066        4114 :       CALL timestop(handle)
    1067             : 
    1068        4114 :    END SUBROUTINE allocate_rho_atom_rad
    1069             : 
    1070             : ! **************************************************************************************************
    1071             : !> \brief ...
    1072             : !> \param rho_atom_set ...
    1073             : !> \param iatom ...
    1074             : !> \param ispin ...
    1075             : ! **************************************************************************************************
    1076       34584 :    SUBROUTINE set2zero_rho_atom_rad(rho_atom_set, iatom, ispin)
    1077             : 
    1078             :       TYPE(rho_atom_type), DIMENSION(:), POINTER         :: rho_atom_set
    1079             :       INTEGER, INTENT(IN)                                :: iatom, ispin
    1080             : 
    1081             :       INTEGER                                            :: j
    1082             : 
    1083    25360678 :       rho_atom_set(iatom)%rho_rad_h(ispin)%r_coef = 0.0_dp
    1084    25360678 :       rho_atom_set(iatom)%rho_rad_s(ispin)%r_coef = 0.0_dp
    1085             : 
    1086    25360678 :       rho_atom_set(iatom)%vrho_rad_h(ispin)%r_coef = 0.0_dp
    1087    25360678 :       rho_atom_set(iatom)%vrho_rad_s(ispin)%r_coef = 0.0_dp
    1088             : 
    1089    25360678 :       rho_atom_set(iatom)%drho_rad_h(ispin)%r_coef = 0.0_dp
    1090    25360678 :       rho_atom_set(iatom)%drho_rad_s(ispin)%r_coef = 0.0_dp
    1091             : 
    1092      138336 :       DO j = 1, 3
    1093    76082034 :          rho_atom_set(iatom)%rho_rad_h_d(j, ispin)%r_coef = 0.0_dp
    1094    76116618 :          rho_atom_set(iatom)%rho_rad_s_d(j, ispin)%r_coef = 0.0_dp
    1095             :       END DO
    1096             : 
    1097       34584 :    END SUBROUTINE set2zero_rho_atom_rad
    1098             : 
    1099             : END MODULE qs_rho_atom_methods

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