LCOV - code coverage report
Current view: top level - src - hartree_local_methods.F (source / functions) Hit Total Coverage
Test: CP2K Regtests (git:b8e0b09) Lines: 274 274 100.0 %
Date: 2024-08-31 06:31:37 Functions: 6 6 100.0 %

          Line data    Source code
       1             : !--------------------------------------------------------------------------------------------------!
       2             : !   CP2K: A general program to perform molecular dynamics simulations                              !
       3             : !   Copyright 2000-2024 CP2K developers group <https://cp2k.org>                                   !
       4             : !                                                                                                  !
       5             : !   SPDX-License-Identifier: GPL-2.0-or-later                                                      !
       6             : !--------------------------------------------------------------------------------------------------!
       7             : ! **************************************************************************************************
       8             : MODULE hartree_local_methods
       9             :    USE atomic_kind_types,               ONLY: atomic_kind_type,&
      10             :                                               get_atomic_kind
      11             :    USE basis_set_types,                 ONLY: get_gto_basis_set,&
      12             :                                               gto_basis_set_type
      13             :    USE cell_types,                      ONLY: cell_type
      14             :    USE cp_control_types,                ONLY: dft_control_type
      15             :    USE hartree_local_types,             ONLY: allocate_ecoul_1center,&
      16             :                                               ecoul_1center_type,&
      17             :                                               hartree_local_type,&
      18             :                                               set_ecoul_1c
      19             :    USE kinds,                           ONLY: dp
      20             :    USE mathconstants,                   ONLY: fourpi,&
      21             :                                               pi
      22             :    USE message_passing,                 ONLY: mp_para_env_type
      23             :    USE orbital_pointers,                ONLY: indso,&
      24             :                                               nsoset
      25             :    USE pw_env_types,                    ONLY: pw_env_get,&
      26             :                                               pw_env_type
      27             :    USE pw_poisson_types,                ONLY: pw_poisson_periodic,&
      28             :                                               pw_poisson_type
      29             :    USE qs_charges_types,                ONLY: qs_charges_type
      30             :    USE qs_environment_types,            ONLY: get_qs_env,&
      31             :                                               qs_environment_type
      32             :    USE qs_grid_atom,                    ONLY: grid_atom_type
      33             :    USE qs_harmonics_atom,               ONLY: get_none0_cg_list,&
      34             :                                               harmonics_atom_type
      35             :    USE qs_kind_types,                   ONLY: get_qs_kind,&
      36             :                                               get_qs_kind_set,&
      37             :                                               qs_kind_type
      38             :    USE qs_local_rho_types,              ONLY: get_local_rho,&
      39             :                                               local_rho_type,&
      40             :                                               rhoz_type
      41             :    USE qs_rho0_types,                   ONLY: get_rho0_mpole,&
      42             :                                               rho0_atom_type,&
      43             :                                               rho0_mpole_type
      44             :    USE qs_rho_atom_types,               ONLY: get_rho_atom,&
      45             :                                               rho_atom_coeff,&
      46             :                                               rho_atom_type
      47             :    USE util,                            ONLY: get_limit
      48             : #include "./base/base_uses.f90"
      49             : 
      50             :    IMPLICIT NONE
      51             : 
      52             :    PRIVATE
      53             : 
      54             :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'hartree_local_methods'
      55             : 
      56             :    ! Public Subroutine
      57             : 
      58             :    PUBLIC :: init_coulomb_local, calculate_Vh_1center, Vh_1c_gg_integrals
      59             : 
      60             : CONTAINS
      61             : 
      62             : ! **************************************************************************************************
      63             : !> \brief ...
      64             : !> \param hartree_local ...
      65             : !> \param natom ...
      66             : ! **************************************************************************************************
      67        1604 :    SUBROUTINE init_coulomb_local(hartree_local, natom)
      68             : 
      69             :       TYPE(hartree_local_type), POINTER                  :: hartree_local
      70             :       INTEGER, INTENT(IN)                                :: natom
      71             : 
      72             :       CHARACTER(len=*), PARAMETER :: routineN = 'init_coulomb_local'
      73             : 
      74             :       INTEGER                                            :: handle
      75        1604 :       TYPE(ecoul_1center_type), DIMENSION(:), POINTER    :: ecoul_1c
      76             : 
      77        1604 :       CALL timeset(routineN, handle)
      78             : 
      79        1604 :       NULLIFY (ecoul_1c)
      80             :       !   Allocate and Initialize 1-center Potentials and Integrals
      81        1604 :       CALL allocate_ecoul_1center(ecoul_1c, natom)
      82        1604 :       hartree_local%ecoul_1c => ecoul_1c
      83             : 
      84        1604 :       CALL timestop(handle)
      85             : 
      86        1604 :    END SUBROUTINE init_coulomb_local
      87             : 
      88             : ! **************************************************************************************************
      89             : !> \brief Calculates Hartree potential for hard and soft densities (including
      90             : !>        nuclear charge and compensation charges) using numerical integration
      91             : !> \param vrad_h ...
      92             : !> \param vrad_s ...
      93             : !> \param rrad_h ...
      94             : !> \param rrad_s ...
      95             : !> \param rrad_0 ...
      96             : !> \param rrad_z ...
      97             : !> \param grid_atom ...
      98             : !> \par History
      99             : !>      05.2012 JGH refactoring
     100             : !> \author ??
     101             : ! **************************************************************************************************
     102          15 :    SUBROUTINE calculate_Vh_1center(vrad_h, vrad_s, rrad_h, rrad_s, rrad_0, rrad_z, grid_atom)
     103             : 
     104             :       REAL(dp), DIMENSION(:, :), INTENT(INOUT)           :: vrad_h, vrad_s
     105             :       TYPE(rho_atom_coeff), DIMENSION(:), INTENT(IN)     :: rrad_h, rrad_s
     106             :       REAL(dp), DIMENSION(:, :), INTENT(IN)              :: rrad_0
     107             :       REAL(dp), DIMENSION(:), INTENT(IN)                 :: rrad_z
     108             :       TYPE(grid_atom_type), POINTER                      :: grid_atom
     109             : 
     110             :       CHARACTER(len=*), PARAMETER :: routineN = 'calculate_Vh_1center'
     111             : 
     112             :       INTEGER                                            :: handle, ir, iso, ispin, l_ang, &
     113             :                                                             max_s_harm, nchannels, nr, nspins
     114             :       REAL(dp)                                           :: I1_down, I1_up, I2_down, I2_up, prefactor
     115          15 :       REAL(dp), ALLOCATABLE, DIMENSION(:, :)             :: rho_1, rho_2
     116          15 :       REAL(dp), DIMENSION(:), POINTER                    :: wr
     117          15 :       REAL(dp), DIMENSION(:, :), POINTER                 :: oor2l, r2l
     118             : 
     119          15 :       CALL timeset(routineN, handle)
     120             : 
     121          15 :       nr = grid_atom%nr
     122          15 :       max_s_harm = SIZE(vrad_h, 2)
     123          15 :       nspins = SIZE(rrad_h, 1)
     124          15 :       nchannels = SIZE(rrad_0, 2)
     125             : 
     126          15 :       r2l => grid_atom%rad2l
     127          15 :       oor2l => grid_atom%oorad2l
     128          15 :       wr => grid_atom%wr
     129             : 
     130          90 :       ALLOCATE (rho_1(nr, max_s_harm), rho_2(nr, max_s_harm))
     131        9348 :       rho_1 = 0.0_dp
     132        9348 :       rho_2 = 0.0_dp
     133             : 
     134             :       !   Case lm = 0
     135         765 :       rho_1(:, 1) = rrad_z(:)
     136         765 :       rho_2(:, 1) = rrad_0(:, 1)
     137             : 
     138         135 :       DO iso = 2, nchannels
     139        6135 :          rho_2(:, iso) = rrad_0(:, iso)
     140             :       END DO
     141             : 
     142         198 :       DO iso = 1, max_s_harm
     143         549 :          DO ispin = 1, nspins
     144       18666 :             rho_1(:, iso) = rho_1(:, iso) + rrad_h(ispin)%r_coef(:, iso)
     145       18849 :             rho_2(:, iso) = rho_2(:, iso) + rrad_s(ispin)%r_coef(:, iso)
     146             :          END DO
     147             : 
     148         183 :          l_ang = indso(1, iso)
     149         183 :          prefactor = fourpi/(2._dp*l_ang + 1._dp)
     150             : 
     151        9333 :          rho_1(:, iso) = rho_1(:, iso)*wr(:)
     152        9333 :          rho_2(:, iso) = rho_2(:, iso)*wr(:)
     153             : 
     154         183 :          I1_up = 0.0_dp
     155         183 :          I1_down = 0.0_dp
     156         183 :          I2_up = 0.0_dp
     157         183 :          I2_down = 0.0_dp
     158             : 
     159         183 :          I1_up = r2l(nr, l_ang)*rho_1(nr, iso)
     160         183 :          I2_up = r2l(nr, l_ang)*rho_2(nr, iso)
     161             : 
     162        9150 :          DO ir = nr - 1, 1, -1
     163        8967 :             I1_down = I1_down + oor2l(ir, l_ang + 1)*rho_1(ir, iso)
     164        9150 :             I2_down = I2_down + oor2l(ir, l_ang + 1)*rho_2(ir, iso)
     165             :          END DO
     166             : 
     167             :          vrad_h(nr, iso) = vrad_h(nr, iso) + prefactor* &
     168         183 :                            (oor2l(nr, l_ang + 1)*I1_up + r2l(nr, l_ang)*I1_down)
     169             :          vrad_s(nr, iso) = vrad_s(nr, iso) + prefactor* &
     170         183 :                            (oor2l(nr, l_ang + 1)*I2_up + r2l(nr, l_ang)*I2_down)
     171             : 
     172        9165 :          DO ir = nr - 1, 1, -1
     173        8967 :             I1_up = I1_up + r2l(ir, l_ang)*rho_1(ir, iso)
     174        8967 :             I1_down = I1_down - oor2l(ir, l_ang + 1)*rho_1(ir, iso)
     175        8967 :             I2_up = I2_up + r2l(ir, l_ang)*rho_2(ir, iso)
     176        8967 :             I2_down = I2_down - oor2l(ir, l_ang + 1)*rho_2(ir, iso)
     177             : 
     178             :             vrad_h(ir, iso) = vrad_h(ir, iso) + prefactor* &
     179        8967 :                               (oor2l(ir, l_ang + 1)*I1_up + r2l(ir, l_ang)*I1_down)
     180             :             vrad_s(ir, iso) = vrad_s(ir, iso) + prefactor* &
     181        9150 :                               (oor2l(ir, l_ang + 1)*I2_up + r2l(ir, l_ang)*I2_down)
     182             : 
     183             :          END DO
     184             : 
     185             :       END DO
     186             : 
     187          15 :       DEALLOCATE (rho_1, rho_2)
     188             : 
     189          15 :       CALL timestop(handle)
     190             : 
     191          15 :    END SUBROUTINE calculate_Vh_1center
     192             : 
     193             : ! **************************************************************************************************
     194             : !> \brief Calculates one center GAPW Hartree energies and matrix elements
     195             : !>        Hartree potentials are input
     196             : !>        Takes possible background charge into account
     197             : !>        Special case for densities without core charge
     198             : !> \param qs_env ...
     199             : !> \param energy_hartree_1c ...
     200             : !> \param ecoul_1c ...
     201             : !> \param local_rho_set ...
     202             : !> \param para_env ...
     203             : !> \param tddft ...
     204             : !> \param local_rho_set_2nd ...
     205             : !> \param core_2nd ...
     206             : !> \par History
     207             : !>      05.2012 JGH refactoring
     208             : !> \author ??
     209             : ! **************************************************************************************************
     210       15062 :    SUBROUTINE Vh_1c_gg_integrals(qs_env, energy_hartree_1c, ecoul_1c, local_rho_set, para_env, tddft, local_rho_set_2nd, &
     211             :                                  core_2nd)
     212             : 
     213             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     214             :       REAL(kind=dp), INTENT(out)                         :: energy_hartree_1c
     215             :       TYPE(ecoul_1center_type), DIMENSION(:), POINTER    :: ecoul_1c
     216             :       TYPE(local_rho_type), POINTER                      :: local_rho_set
     217             :       TYPE(mp_para_env_type), POINTER                    :: para_env
     218             :       LOGICAL, INTENT(IN)                                :: tddft
     219             :       TYPE(local_rho_type), OPTIONAL, POINTER            :: local_rho_set_2nd
     220             :       LOGICAL, INTENT(IN), OPTIONAL                      :: core_2nd
     221             : 
     222             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'Vh_1c_gg_integrals'
     223             : 
     224             :       INTEGER :: bo(2), handle, iat, iatom, ikind, ipgf1, is1, iset1, iso, l_ang, llmax, lmax0, &
     225             :          lmax0_2nd, lmax_0, m1, max_iso, max_iso_not0, max_s_harm, maxl, maxso, mepos, n1, nat, &
     226             :          nchan_0, nkind, nr, nset, nsotot, nspins, num_pe
     227       15062 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: cg_n_list
     228       15062 :       INTEGER, ALLOCATABLE, DIMENSION(:, :, :)           :: cg_list
     229       15062 :       INTEGER, DIMENSION(:), POINTER                     :: atom_list, lmax, lmin, npgf
     230             :       LOGICAL                                            :: core_charge, l_2nd_local_rho, &
     231             :                                                             my_core_2nd, my_periodic, paw_atom
     232             :       REAL(dp)                                           :: back_ch, factor
     233       15062 :       REAL(dp), ALLOCATABLE, DIMENSION(:)                :: gexp, sqrtwr
     234       15062 :       REAL(dp), ALLOCATABLE, DIMENSION(:, :)             :: aVh1b_00, aVh1b_hh, aVh1b_ss, g0_h_w
     235       15062 :       REAL(dp), DIMENSION(:), POINTER                    :: rrad_z, vrrad_z
     236       15062 :       REAL(dp), DIMENSION(:, :), POINTER                 :: g0_h, g0_h_2nd, gsph, rrad_0, Vh1_h, &
     237       15062 :                                                             Vh1_s, vrrad_0, zet
     238       15062 :       REAL(dp), DIMENSION(:, :, :), POINTER              :: my_CG, Qlm_gg, Qlm_gg_2nd
     239       15062 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     240             :       TYPE(cell_type), POINTER                           :: cell
     241             :       TYPE(dft_control_type), POINTER                    :: dft_control
     242             :       TYPE(grid_atom_type), POINTER                      :: grid_atom
     243             :       TYPE(gto_basis_set_type), POINTER                  :: basis_1c
     244             :       TYPE(harmonics_atom_type), POINTER                 :: harmonics
     245             :       TYPE(pw_env_type), POINTER                         :: pw_env
     246             :       TYPE(pw_poisson_type), POINTER                     :: poisson_env
     247             :       TYPE(qs_charges_type), POINTER                     :: qs_charges
     248       15062 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     249       15062 :       TYPE(rho0_atom_type), DIMENSION(:), POINTER        :: rho0_atom_set, rho0_atom_set_2nd
     250             :       TYPE(rho0_mpole_type), POINTER                     :: rho0_mpole, rho0_mpole_2nd
     251       15062 :       TYPE(rho_atom_type), DIMENSION(:), POINTER         :: rho_atom_set, rho_atom_set_2nd
     252             :       TYPE(rho_atom_type), POINTER                       :: rho_atom
     253       15062 :       TYPE(rhoz_type), DIMENSION(:), POINTER             :: rhoz_set, rhoz_set_2nd
     254             : 
     255       15062 :       CALL timeset(routineN, handle)
     256             : 
     257       15062 :       NULLIFY (cell, dft_control, poisson_env, pw_env, qs_charges)
     258       15062 :       NULLIFY (atomic_kind_set, qs_kind_set, rho_atom_set, rho0_atom_set)
     259       15062 :       NULLIFY (rho0_mpole, rhoz_set)
     260       15062 :       NULLIFY (atom_list, grid_atom, harmonics)
     261       15062 :       NULLIFY (basis_1c, lmin, lmax, npgf, zet)
     262       15062 :       NULLIFY (gsph)
     263             : 
     264             :       CALL get_qs_env(qs_env=qs_env, &
     265             :                       cell=cell, dft_control=dft_control, &
     266             :                       atomic_kind_set=atomic_kind_set, &
     267             :                       qs_kind_set=qs_kind_set, &
     268       15062 :                       pw_env=pw_env, qs_charges=qs_charges)
     269             : 
     270       15062 :       CALL pw_env_get(pw_env, poisson_env=poisson_env)
     271       15062 :       my_periodic = (poisson_env%method == pw_poisson_periodic)
     272             : 
     273       15062 :       back_ch = qs_charges%background*cell%deth
     274             : 
     275             :       ! rhoz_set is not accessed in TDDFT
     276       15062 :       CALL get_local_rho(local_rho_set, rho_atom_set, rho0_atom_set, rho0_mpole, rhoz_set) ! for integral space
     277             : 
     278             :       ! for forces we need a second local_rho_set
     279       15062 :       l_2nd_local_rho = .FALSE.
     280       15062 :       IF (PRESENT(local_rho_set_2nd)) THEN ! for potential
     281         124 :          l_2nd_local_rho = .TRUE.
     282         124 :          NULLIFY (rho_atom_set_2nd, rho0_atom_set_2nd, rhoz_set_2nd) ! for potential
     283         124 :          CALL get_local_rho(local_rho_set_2nd, rho_atom_set_2nd, rho0_atom_set_2nd, rho0_mpole_2nd, rhoz_set=rhoz_set_2nd)
     284             :       END IF
     285             : 
     286       15062 :       nkind = SIZE(atomic_kind_set, 1)
     287       15062 :       nspins = dft_control%nspins
     288             : 
     289       15062 :       core_charge = .NOT. tddft  ! for forces mixed version
     290       15062 :       my_core_2nd = .TRUE.
     291       15062 :       IF (PRESENT(core_2nd)) my_core_2nd = .NOT. core_2nd   ! if my_core_2nd true, include core charge
     292             : 
     293             :       ! The aim of the following code was to return immediately if the subroutine
     294             :       ! was called for triplet excited states in spin-restricted case. This check
     295             :       ! is also performed before invocation of this subroutine. It should be save
     296             :       ! to remove the optional argument 'do_triplet' from the subroutine interface.
     297             :       !IF (tddft) THEN
     298             :       !   CPASSERT(PRESENT(do_triplet))
     299             :       !   IF (nspins == 1 .AND. do_triplet) RETURN
     300             :       !END IF
     301             : 
     302       15062 :       CALL get_qs_kind_set(qs_kind_set, maxg_iso_not0=max_iso)
     303       15062 :       CALL get_rho0_mpole(rho0_mpole=rho0_mpole, lmax_0=lmax_0)
     304             : 
     305             :       !   Put to 0 the local hartree energy contribution from 1 center integrals
     306       15062 :       energy_hartree_1c = 0.0_dp
     307             : 
     308             :       !   Here starts the loop over all the atoms
     309       45450 :       DO ikind = 1, nkind
     310             : 
     311       30388 :          CALL get_atomic_kind(atomic_kind_set(ikind), atom_list=atom_list, natom=nat)
     312             :          CALL get_qs_kind(qs_kind_set(ikind), &
     313             :                           grid_atom=grid_atom, &
     314             :                           harmonics=harmonics, ngrid_rad=nr, &
     315       30388 :                           max_iso_not0=max_iso_not0, paw_atom=paw_atom)
     316             :          CALL get_qs_kind(qs_kind_set(ikind), &
     317       30388 :                           basis_set=basis_1c, basis_type="GAPW_1C")
     318             : 
     319       75838 :          IF (paw_atom) THEN
     320             : !===========    PAW   ===============
     321             :             CALL get_gto_basis_set(gto_basis_set=basis_1c, lmax=lmax, lmin=lmin, &
     322             :                                    maxso=maxso, npgf=npgf, maxl=maxl, &
     323       28890 :                                    nset=nset, zet=zet)
     324             : 
     325       28890 :             max_s_harm = harmonics%max_s_harm
     326       28890 :             llmax = harmonics%llmax
     327             : 
     328       28890 :             nsotot = maxso*nset
     329      115560 :             ALLOCATE (gsph(nr, nsotot))
     330       86670 :             ALLOCATE (gexp(nr))
     331      144450 :             ALLOCATE (sqrtwr(nr), g0_h_w(nr, 0:lmax_0))
     332             : 
     333             :             NULLIFY (Vh1_h, Vh1_s)
     334      115560 :             ALLOCATE (Vh1_h(nr, max_iso_not0))
     335       86670 :             ALLOCATE (Vh1_s(nr, max_iso_not0))
     336             : 
     337      115560 :             ALLOCATE (aVh1b_hh(nsotot, nsotot))
     338       86670 :             ALLOCATE (aVh1b_ss(nsotot, nsotot))
     339       86670 :             ALLOCATE (aVh1b_00(nsotot, nsotot))
     340      173340 :             ALLOCATE (cg_list(2, nsoset(maxl)**2, max_s_harm), cg_n_list(max_s_harm))
     341             : 
     342       28890 :             NULLIFY (Qlm_gg, g0_h)
     343             :             CALL get_rho0_mpole(rho0_mpole=rho0_mpole, ikind=ikind, &
     344             :                                 l0_ikind=lmax0, &
     345       28890 :                                 Qlm_gg=Qlm_gg, g0_h=g0_h) ! Qlm_gg of density
     346             : 
     347       28890 :             IF (PRESENT(local_rho_set_2nd)) THEN ! for potential
     348         276 :                NULLIFY (Qlm_gg_2nd, g0_h_2nd)
     349             :                CALL get_rho0_mpole(rho0_mpole=rho0_mpole_2nd, ikind=ikind, &
     350             :                                    l0_ikind=lmax0_2nd, &
     351         276 :                                    Qlm_gg=Qlm_gg_2nd, g0_h=g0_h_2nd) ! Qlm_gg of density
     352             :             END IF
     353       28890 :             nchan_0 = nsoset(lmax0)
     354             : 
     355       28890 :             IF (nchan_0 > max_iso_not0) CPABORT("channels for rho0 > # max of spherical harmonics")
     356             : 
     357       28890 :             NULLIFY (rrad_z, my_CG)
     358       28890 :             my_CG => harmonics%my_CG
     359             : 
     360             :             !     set to zero temporary arrays
     361     1699710 :             sqrtwr = 0.0_dp
     362     5126296 :             g0_h_w = 0.0_dp
     363     1699710 :             gexp = 0.0_dp
     364    54462412 :             gsph = 0.0_dp
     365             : 
     366     1699710 :             sqrtwr(1:nr) = SQRT(grid_atom%wr(1:nr))
     367      107460 :             DO l_ang = 0, lmax0
     368     4569160 :                g0_h_w(1:nr, l_ang) = g0_h(1:nr, l_ang)*grid_atom%wr(1:nr)
     369             :             END DO
     370             : 
     371             :             m1 = 0
     372      103192 :             DO iset1 = 1, nset
     373       74302 :                n1 = nsoset(lmax(iset1))
     374      272226 :                DO ipgf1 = 1, npgf(iset1)
     375    11608824 :                   gexp(1:nr) = EXP(-zet(ipgf1, iset1)*grid_atom%rad2(1:nr))*sqrtwr(1:nr)
     376      790492 :                   DO is1 = nsoset(lmin(iset1) - 1) + 1, nsoset(lmax(iset1))
     377      518266 :                      iso = is1 + (ipgf1 - 1)*n1 + m1
     378      518266 :                      l_ang = indso(1, is1)
     379    59935470 :                      gsph(1:nr, iso) = grid_atom%rad2l(1:nr, l_ang)*gexp(1:nr)
     380             :                   END DO ! is1
     381             :                END DO ! ipgf1
     382      103192 :                m1 = m1 + maxso
     383             :             END DO ! iset1
     384             : 
     385             :             !     Distribute the atoms of this kind
     386       28890 :             num_pe = para_env%num_pe
     387       28890 :             mepos = para_env%mepos
     388       28890 :             bo = get_limit(nat, num_pe, mepos)
     389             : 
     390       52067 :             DO iat = bo(1), bo(2) !1,nat
     391       23177 :                iatom = atom_list(iat)
     392       23177 :                rho_atom => rho_atom_set(iatom)
     393             : 
     394       23177 :                NULLIFY (rrad_z, vrrad_z, rrad_0, vrrad_0)
     395       23177 :                IF (core_charge) THEN
     396       20217 :                   rrad_z => rhoz_set(ikind)%r_coef ! for density
     397             :                END IF
     398       23177 :                IF (my_core_2nd) THEN
     399       20317 :                   IF (l_2nd_local_rho) THEN
     400         100 :                      vrrad_z => rhoz_set_2nd(ikind)%vr_coef ! for potential
     401             :                   ELSE
     402       20217 :                      vrrad_z => rhoz_set(ikind)%vr_coef ! for potential
     403             :                   END IF
     404             :                END IF
     405       23177 :                rrad_0 => rho0_atom_set(iatom)%rho0_rad_h%r_coef ! for density
     406       23177 :                vrrad_0 => rho0_atom_set(iatom)%vrho0_rad_h%r_coef
     407       23177 :                IF (l_2nd_local_rho) THEN
     408         200 :                   rho_atom => rho_atom_set_2nd(iatom)
     409         200 :                   vrrad_0 => rho0_atom_set_2nd(iatom)%vrho0_rad_h%r_coef ! for potential
     410             :                END IF
     411       23177 :                IF (my_periodic .AND. back_ch .GT. 1.E-3_dp) THEN
     412         814 :                   factor = -2.0_dp*pi/3.0_dp*SQRT(fourpi)*qs_charges%background
     413             :                ELSE
     414       22363 :                   factor = 0._dp
     415             :                END IF
     416             : 
     417             :                CALL Vh_1c_atom_potential(rho_atom, vrrad_0, &
     418             :                                          grid_atom, my_core_2nd, vrrad_z, Vh1_h, Vh1_s, & ! core charge for potential (2nd)
     419       23177 :                                          nchan_0, nspins, max_iso_not0, factor)
     420             : 
     421       23177 :                IF (l_2nd_local_rho) rho_atom => rho_atom_set(iatom) ! rho_atom for density
     422             : 
     423             :                CALL Vh_1c_atom_energy(energy_hartree_1c, ecoul_1c, rho_atom, rrad_0, &
     424             :                                       grid_atom, iatom, core_charge, rrad_z, Vh1_h, Vh1_s, & ! core charge for density
     425       23177 :                                       nchan_0, nspins, max_iso_not0)
     426             : 
     427       23177 :                IF (l_2nd_local_rho) rho_atom => rho_atom_set_2nd(iatom) ! rho_atom for potential (2nd)
     428             : 
     429             :                CALL Vh_1c_atom_integrals(rho_atom, &  ! results (int_local_h and int_local_s) written on rho_atom_2nd
     430             :                                          ! int_local_h and int_local_s are used in update_ks_atom
     431             :                                          ! on int_local_h mixed core / non-core
     432             :                                          aVh1b_hh, aVh1b_ss, aVh1b_00, Vh1_h, Vh1_s, max_iso_not0, &
     433             :                                          max_s_harm, llmax, cg_list, cg_n_list, &
     434             :                                          nset, npgf, lmin, lmax, nsotot, maxso, nspins, nchan_0, gsph, &
     435       52067 :                                          g0_h_w, my_CG, Qlm_gg) ! Qlm_gg for density from local_rho_set
     436             : 
     437             :             END DO ! iat
     438             : 
     439       28890 :             DEALLOCATE (aVh1b_hh)
     440       28890 :             DEALLOCATE (aVh1b_ss)
     441       28890 :             DEALLOCATE (aVh1b_00)
     442       28890 :             DEALLOCATE (Vh1_h, Vh1_s)
     443       28890 :             DEALLOCATE (cg_list, cg_n_list)
     444       28890 :             DEALLOCATE (gsph)
     445       28890 :             DEALLOCATE (gexp)
     446       86670 :             DEALLOCATE (sqrtwr, g0_h_w)
     447             : 
     448             :          ELSE
     449             : !===========   NO  PAW   ===============
     450             : !  This term is taken care of using the core density as in GPW
     451        1498 :             CYCLE
     452             :          END IF ! paw
     453             :       END DO ! ikind
     454             : 
     455       15062 :       CALL para_env%sum(energy_hartree_1c)
     456             : 
     457       15062 :       CALL timestop(handle)
     458             : 
     459       30124 :    END SUBROUTINE Vh_1c_gg_integrals
     460             : 
     461             : ! **************************************************************************************************
     462             : 
     463             : ! **************************************************************************************************
     464             : !> \brief ...
     465             : !> \param rho_atom ...
     466             : !> \param vrrad_0 ...
     467             : !> \param grid_atom ...
     468             : !> \param core_charge ...
     469             : !> \param vrrad_z ...
     470             : !> \param Vh1_h ...
     471             : !> \param Vh1_s ...
     472             : !> \param nchan_0 ...
     473             : !> \param nspins ...
     474             : !> \param max_iso_not0 ...
     475             : !> \param bfactor ...
     476             : ! **************************************************************************************************
     477       23177 :    SUBROUTINE Vh_1c_atom_potential(rho_atom, vrrad_0, &
     478             :                                    grid_atom, core_charge, vrrad_z, Vh1_h, Vh1_s, &
     479             :                                    nchan_0, nspins, max_iso_not0, bfactor)
     480             : 
     481             :       TYPE(rho_atom_type), POINTER                       :: rho_atom
     482             :       REAL(dp), DIMENSION(:, :), POINTER                 :: vrrad_0
     483             :       TYPE(grid_atom_type), POINTER                      :: grid_atom
     484             :       LOGICAL, INTENT(IN)                                :: core_charge
     485             :       REAL(dp), DIMENSION(:), POINTER                    :: vrrad_z
     486             :       REAL(dp), DIMENSION(:, :), POINTER                 :: Vh1_h, Vh1_s
     487             :       INTEGER, INTENT(IN)                                :: nchan_0, nspins, max_iso_not0
     488             :       REAL(dp), INTENT(IN)                               :: bfactor
     489             : 
     490             :       INTEGER                                            :: ir, iso, ispin, nr
     491       23177 :       TYPE(rho_atom_coeff), DIMENSION(:), POINTER        :: vr_h, vr_s
     492             : 
     493       23177 :       nr = grid_atom%nr
     494             : 
     495       23177 :       NULLIFY (vr_h, vr_s)
     496       23177 :       CALL get_rho_atom(rho_atom=rho_atom, vrho_rad_h=vr_h, vrho_rad_s=vr_s)
     497             : 
     498    16711352 :       Vh1_h = 0.0_dp
     499    16711352 :       Vh1_s = 0.0_dp
     500             : 
     501     2391474 :       IF (core_charge) Vh1_h(:, 1) = vrrad_z(:)
     502             : 
     503      198138 :       DO iso = 1, nchan_0
     504    19469319 :          Vh1_s(:, iso) = vrrad_0(:, iso)
     505             :       END DO
     506             : 
     507       50382 :       DO ispin = 1, nspins
     508      411171 :          DO iso = 1, max_iso_not0
     509    20903859 :             Vh1_h(:, iso) = Vh1_h(:, iso) + vr_h(ispin)%r_coef(:, iso)
     510    20931064 :             Vh1_s(:, iso) = Vh1_s(:, iso) + vr_s(ispin)%r_coef(:, iso)
     511             :          END DO
     512             :       END DO
     513             : 
     514       23177 :       IF (bfactor /= 0._dp) THEN
     515       48714 :          DO ir = 1, nr
     516       47900 :             Vh1_h(ir, 1) = Vh1_h(ir, 1) + bfactor*grid_atom%rad2(ir)*grid_atom%wr(ir)
     517       48714 :             Vh1_s(ir, 1) = Vh1_s(ir, 1) + bfactor*grid_atom%rad2(ir)*grid_atom%wr(ir)
     518             :          END DO
     519             :       END IF
     520             : 
     521       23177 :    END SUBROUTINE Vh_1c_atom_potential
     522             : 
     523             : ! **************************************************************************************************
     524             : 
     525             : ! **************************************************************************************************
     526             : !> \brief ...
     527             : !> \param energy_hartree_1c ...
     528             : !> \param ecoul_1c ...
     529             : !> \param rho_atom ...
     530             : !> \param rrad_0 ...
     531             : !> \param grid_atom ...
     532             : !> \param iatom ...
     533             : !> \param core_charge ...
     534             : !> \param rrad_z ...
     535             : !> \param Vh1_h ...
     536             : !> \param Vh1_s ...
     537             : !> \param nchan_0 ...
     538             : !> \param nspins ...
     539             : !> \param max_iso_not0 ...
     540             : ! **************************************************************************************************
     541       23177 :    SUBROUTINE Vh_1c_atom_energy(energy_hartree_1c, ecoul_1c, rho_atom, rrad_0, &
     542             :                                 grid_atom, iatom, core_charge, rrad_z, Vh1_h, Vh1_s, &
     543             :                                 nchan_0, nspins, max_iso_not0)
     544             : 
     545             :       REAL(dp), INTENT(INOUT)                            :: energy_hartree_1c
     546             :       TYPE(ecoul_1center_type), DIMENSION(:), POINTER    :: ecoul_1c
     547             :       TYPE(rho_atom_type), POINTER                       :: rho_atom
     548             :       REAL(dp), DIMENSION(:, :), POINTER                 :: rrad_0
     549             :       TYPE(grid_atom_type), POINTER                      :: grid_atom
     550             :       INTEGER, INTENT(IN)                                :: iatom
     551             :       LOGICAL, INTENT(IN)                                :: core_charge
     552             :       REAL(dp), DIMENSION(:), POINTER                    :: rrad_z
     553             :       REAL(dp), DIMENSION(:, :), POINTER                 :: Vh1_h, Vh1_s
     554             :       INTEGER, INTENT(IN)                                :: nchan_0, nspins, max_iso_not0
     555             : 
     556             :       INTEGER                                            :: iso, ispin, nr
     557             :       REAL(dp)                                           :: ecoul_1_0, ecoul_1_h, ecoul_1_s, &
     558             :                                                             ecoul_1_z
     559       23177 :       TYPE(rho_atom_coeff), DIMENSION(:), POINTER        :: r_h, r_s
     560             : 
     561       23177 :       nr = grid_atom%nr
     562             : 
     563       23177 :       NULLIFY (r_h, r_s)
     564       23177 :       CALL get_rho_atom(rho_atom=rho_atom, rho_rad_h=r_h, rho_rad_s=r_s)
     565             : 
     566             :       !       Calculate the contributions to Ecoul coming from Vh1_h*rhoz
     567       23177 :       ecoul_1_z = 0.0_dp
     568       23177 :       IF (core_charge) THEN
     569     1189207 :          ecoul_1_z = 0.5_dp*SUM(Vh1_h(:, 1)*rrad_z(:)*grid_atom%wr(:))
     570             :       END IF
     571             : 
     572             :       !       Calculate the contributions to Ecoul coming from  Vh1_s*rho0
     573       23177 :       ecoul_1_0 = 0.0_dp
     574      198138 :       DO iso = 1, nchan_0
     575     9746248 :          ecoul_1_0 = ecoul_1_0 + 0.5_dp*SUM(Vh1_s(:, iso)*rrad_0(:, iso)*grid_atom%wr(:))
     576             :       END DO
     577             : 
     578             :       !       Calculate the contributions to Ecoul coming from Vh1_h*rho1_h and Vh1_s*rho1_s
     579       23177 :       ecoul_1_s = 0.0_dp
     580       23177 :       ecoul_1_h = 0.0_dp
     581       50382 :       DO ispin = 1, nspins
     582      411171 :          DO iso = 1, max_iso_not0
     583    20903859 :             ecoul_1_s = ecoul_1_s + 0.5_dp*SUM(Vh1_s(:, iso)*r_s(ispin)%r_coef(:, iso)*grid_atom%wr(:))
     584    20931064 :             ecoul_1_h = ecoul_1_h + 0.5_dp*SUM(Vh1_h(:, iso)*r_h(ispin)%r_coef(:, iso)*grid_atom%wr(:))
     585             :          END DO
     586             :       END DO
     587             : 
     588       23177 :       CALL set_ecoul_1c(ecoul_1c, iatom, ecoul_1_z=ecoul_1_z, ecoul_1_0=ecoul_1_0)
     589       23177 :       CALL set_ecoul_1c(ecoul_1c=ecoul_1c, iatom=iatom, ecoul_1_h=ecoul_1_h, ecoul_1_s=ecoul_1_s)
     590             : 
     591       23177 :       energy_hartree_1c = energy_hartree_1c + ecoul_1_z - ecoul_1_0
     592       23177 :       energy_hartree_1c = energy_hartree_1c + ecoul_1_h - ecoul_1_s
     593             : 
     594       23177 :    END SUBROUTINE Vh_1c_atom_energy
     595             : 
     596             : !%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     597             : 
     598             : ! **************************************************************************************************
     599             : !> \brief ...
     600             : !> \param rho_atom ...
     601             : !> \param aVh1b_hh ...
     602             : !> \param aVh1b_ss ...
     603             : !> \param aVh1b_00 ...
     604             : !> \param Vh1_h ...
     605             : !> \param Vh1_s ...
     606             : !> \param max_iso_not0 ...
     607             : !> \param max_s_harm ...
     608             : !> \param llmax ...
     609             : !> \param cg_list ...
     610             : !> \param cg_n_list ...
     611             : !> \param nset ...
     612             : !> \param npgf ...
     613             : !> \param lmin ...
     614             : !> \param lmax ...
     615             : !> \param nsotot ...
     616             : !> \param maxso ...
     617             : !> \param nspins ...
     618             : !> \param nchan_0 ...
     619             : !> \param gsph ...
     620             : !> \param g0_h_w ...
     621             : !> \param my_CG ...
     622             : !> \param Qlm_gg ...
     623             : ! **************************************************************************************************
     624       23177 :    SUBROUTINE Vh_1c_atom_integrals(rho_atom, &
     625       23177 :                                    aVh1b_hh, aVh1b_ss, aVh1b_00, Vh1_h, Vh1_s, max_iso_not0, &
     626       23177 :                                    max_s_harm, llmax, cg_list, cg_n_list, &
     627             :                                    nset, npgf, lmin, lmax, nsotot, maxso, nspins, nchan_0, gsph, &
     628       23177 :                                    g0_h_w, my_CG, Qlm_gg)
     629             : 
     630             :       TYPE(rho_atom_type), POINTER                       :: rho_atom
     631             :       REAL(dp), DIMENSION(:, :)                          :: aVh1b_hh, aVh1b_ss, aVh1b_00
     632             :       REAL(dp), DIMENSION(:, :), POINTER                 :: Vh1_h, Vh1_s
     633             :       INTEGER, INTENT(IN)                                :: max_iso_not0, max_s_harm, llmax
     634             :       INTEGER, DIMENSION(:, :, :)                        :: cg_list
     635             :       INTEGER, DIMENSION(:)                              :: cg_n_list
     636             :       INTEGER, INTENT(IN)                                :: nset
     637             :       INTEGER, DIMENSION(:), POINTER                     :: npgf, lmin, lmax
     638             :       INTEGER, INTENT(IN)                                :: nsotot, maxso, nspins, nchan_0
     639             :       REAL(dp), DIMENSION(:, :), POINTER                 :: gsph
     640             :       REAL(dp), DIMENSION(:, 0:)                         :: g0_h_w
     641             :       REAL(dp), DIMENSION(:, :, :), POINTER              :: my_CG, Qlm_gg
     642             : 
     643             :       INTEGER                                            :: icg, ipgf1, ipgf2, ir, is1, is2, iset1, &
     644             :                                                             iset2, iso, iso1, iso2, ispin, l_ang, &
     645             :                                                             m1, m2, max_iso_not0_local, n1, n2, nr
     646             :       REAL(dp)                                           :: gVg_0, gVg_h, gVg_s
     647       23177 :       TYPE(rho_atom_coeff), DIMENSION(:), POINTER        :: int_local_h, int_local_s
     648             : 
     649       23177 :       NULLIFY (int_local_h, int_local_s)
     650             :       CALL get_rho_atom(rho_atom=rho_atom, &
     651             :                         ga_Vlocal_gb_h=int_local_h, &
     652       23177 :                         ga_Vlocal_gb_s=int_local_s)
     653             : 
     654             :       !       Calculate the integrals of the potential with 2 primitives
     655    69362333 :       aVh1b_hh = 0.0_dp
     656    69362333 :       aVh1b_ss = 0.0_dp
     657    69362333 :       aVh1b_00 = 0.0_dp
     658             : 
     659       23177 :       nr = SIZE(gsph, 1)
     660             : 
     661       23177 :       m1 = 0
     662       80161 :       DO iset1 = 1, nset
     663             :          m2 = 0
     664      241984 :          DO iset2 = 1, nset
     665             :             CALL get_none0_cg_list(my_CG, lmin(iset1), lmax(iset1), lmin(iset2), lmax(iset2), &
     666      185000 :                                    max_s_harm, llmax, cg_list, cg_n_list, max_iso_not0_local)
     667             : 
     668      185000 :             n1 = nsoset(lmax(iset1))
     669      639482 :             DO ipgf1 = 1, npgf(iset1)
     670      454482 :                n2 = nsoset(lmax(iset2))
     671     1956099 :                DO ipgf2 = 1, npgf(iset2)
     672             :                   !               with contributions to  V1_s*rho0
     673    13106570 :                   DO iso = 1, nchan_0
     674    11789953 :                      l_ang = indso(1, iso)
     675   657440213 :                      gVg_0 = SUM(Vh1_s(:, iso)*g0_h_w(:, l_ang))
     676    23962660 :                      DO icg = 1, cg_n_list(iso)
     677    10856090 :                         is1 = cg_list(1, icg, iso)
     678    10856090 :                         is2 = cg_list(2, icg, iso)
     679             : 
     680    10856090 :                         iso1 = is1 + n1*(ipgf1 - 1) + m1
     681    10856090 :                         iso2 = is2 + n2*(ipgf2 - 1) + m2
     682    10856090 :                         gVg_h = 0.0_dp
     683    10856090 :                         gVg_s = 0.0_dp
     684             : 
     685   603487550 :                         DO ir = 1, nr
     686   592631460 :                            gVg_h = gVg_h + gsph(ir, iso1)*gsph(ir, iso2)*Vh1_h(ir, iso)
     687   603487550 :                            gVg_s = gVg_s + gsph(ir, iso1)*gsph(ir, iso2)*Vh1_s(ir, iso)
     688             :                         END DO ! ir
     689             : 
     690    10856090 :                         aVh1b_hh(iso1, iso2) = aVh1b_hh(iso1, iso2) + gVg_h*my_CG(is1, is2, iso)
     691    10856090 :                         aVh1b_ss(iso1, iso2) = aVh1b_ss(iso1, iso2) + gVg_s*my_CG(is1, is2, iso)
     692    22646043 :                         aVh1b_00(iso1, iso2) = aVh1b_00(iso1, iso2) + gVg_0*Qlm_gg(iso1, iso2, iso)
     693             : 
     694             :                      END DO !icg
     695             :                   END DO ! iso
     696             :                   !               without contributions to  V1_s*rho0
     697    19373635 :                   DO iso = nchan_0 + 1, max_iso_not0
     698    24067021 :                      DO icg = 1, cg_n_list(iso)
     699     5147868 :                         is1 = cg_list(1, icg, iso)
     700     5147868 :                         is2 = cg_list(2, icg, iso)
     701             : 
     702     5147868 :                         iso1 = is1 + n1*(ipgf1 - 1) + m1
     703     5147868 :                         iso2 = is2 + n2*(ipgf2 - 1) + m2
     704     5147868 :                         gVg_h = 0.0_dp
     705     5147868 :                         gVg_s = 0.0_dp
     706             : 
     707   271450498 :                         DO ir = 1, nr
     708   266302630 :                            gVg_h = gVg_h + gsph(ir, iso1)*gsph(ir, iso2)*Vh1_h(ir, iso)
     709   271450498 :                            gVg_s = gVg_s + gsph(ir, iso1)*gsph(ir, iso2)*Vh1_s(ir, iso)
     710             :                         END DO ! ir
     711             : 
     712     5147868 :                         aVh1b_hh(iso1, iso2) = aVh1b_hh(iso1, iso2) + gVg_h*my_CG(is1, is2, iso)
     713    22750404 :                         aVh1b_ss(iso1, iso2) = aVh1b_ss(iso1, iso2) + gVg_s*my_CG(is1, is2, iso)
     714             : 
     715             :                      END DO !icg
     716             :                   END DO ! iso
     717             :                END DO ! ipgf2
     718             :             END DO ! ipgf1
     719      241984 :             m2 = m2 + maxso
     720             :          END DO ! iset2
     721       80161 :          m1 = m1 + maxso
     722             :       END DO !iset1
     723       50382 :       DO ispin = 1, nspins
     724       27205 :          CALL daxpy(nsotot*nsotot, 1.0_dp, aVh1b_hh, 1, int_local_h(ispin)%r_coef, 1)
     725       27205 :          CALL daxpy(nsotot*nsotot, 1.0_dp, aVh1b_ss, 1, int_local_s(ispin)%r_coef, 1)
     726       27205 :          CALL daxpy(nsotot*nsotot, -1.0_dp, aVh1b_00, 1, int_local_h(ispin)%r_coef, 1)
     727       50382 :          CALL daxpy(nsotot*nsotot, -1.0_dp, aVh1b_00, 1, int_local_s(ispin)%r_coef, 1)
     728             :       END DO ! ispin
     729             : 
     730       23177 :    END SUBROUTINE Vh_1c_atom_integrals
     731             : 
     732             : !%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     733             : 
     734             : END MODULE hartree_local_methods
     735             : 

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