LCOV - code coverage report
Current view: top level - src - rpa_rse.F (source / functions) Hit Total Coverage
Test: CP2K Regtests (git:b8e0b09) Lines: 211 217 97.2 %
Date: 2024-08-31 06:31:37 Functions: 4 4 100.0 %

          Line data    Source code
       1             : !--------------------------------------------------------------------------------------------------!
       2             : !   CP2K: A general program to perform molecular dynamics simulations                              !
       3             : !   Copyright 2000-2024 CP2K developers group <https://cp2k.org>                                   !
       4             : !                                                                                                  !
       5             : !   SPDX-License-Identifier: GPL-2.0-or-later                                                      !
       6             : !--------------------------------------------------------------------------------------------------!
       7             : 
       8             : ! **************************************************************************************************
       9             : !> \brief Routines to compute singles correction to RPA (RSE)
      10             : !> \par History
      11             : !>      08.2019 created [Vladimir Rybkin]
      12             : !> \author Vladimir Rybkin
      13             : ! **************************************************************************************************
      14             : MODULE rpa_rse
      15             : 
      16             :    USE cp_blacs_env,                    ONLY: cp_blacs_env_type
      17             :    USE cp_control_types,                ONLY: dft_control_type
      18             :    USE cp_dbcsr_api,                    ONLY: dbcsr_copy,&
      19             :                                               dbcsr_create,&
      20             :                                               dbcsr_init_p,&
      21             :                                               dbcsr_p_type,&
      22             :                                               dbcsr_release,&
      23             :                                               dbcsr_scale,&
      24             :                                               dbcsr_set,&
      25             :                                               dbcsr_type_symmetric
      26             :    USE cp_dbcsr_cp2k_link,              ONLY: cp_dbcsr_alloc_block_from_nbl
      27             :    USE cp_dbcsr_operations,             ONLY: copy_dbcsr_to_fm,&
      28             :                                               copy_fm_to_dbcsr,&
      29             :                                               dbcsr_allocate_matrix_set
      30             :    USE cp_fm_basic_linalg,              ONLY: cp_fm_scale_and_add
      31             :    USE cp_fm_diag,                      ONLY: choose_eigv_solver
      32             :    USE cp_fm_struct,                    ONLY: cp_fm_struct_create,&
      33             :                                               cp_fm_struct_release,&
      34             :                                               cp_fm_struct_type
      35             :    USE cp_fm_types,                     ONLY: cp_fm_create,&
      36             :                                               cp_fm_get_diag,&
      37             :                                               cp_fm_get_info,&
      38             :                                               cp_fm_release,&
      39             :                                               cp_fm_set_all,&
      40             :                                               cp_fm_to_fm_submat,&
      41             :                                               cp_fm_type
      42             :    USE hfx_energy_potential,            ONLY: integrate_four_center
      43             :    USE hfx_exx,                         ONLY: exx_post_hfx,&
      44             :                                               exx_pre_hfx
      45             :    USE hfx_ri,                          ONLY: hfx_ri_update_ks
      46             :    USE input_section_types,             ONLY: section_vals_get,&
      47             :                                               section_vals_get_subs_vals,&
      48             :                                               section_vals_type,&
      49             :                                               section_vals_val_get
      50             :    USE kinds,                           ONLY: dp
      51             :    USE message_passing,                 ONLY: mp_para_env_type
      52             :    USE mp2_types,                       ONLY: mp2_type
      53             :    USE parallel_gemm_api,               ONLY: parallel_gemm
      54             :    USE pw_types,                        ONLY: pw_r3d_rs_type
      55             :    USE qs_energy_types,                 ONLY: qs_energy_type
      56             :    USE qs_environment_types,            ONLY: get_qs_env,&
      57             :                                               qs_environment_type
      58             :    USE qs_ks_types,                     ONLY: qs_ks_env_type
      59             :    USE qs_ks_utils,                     ONLY: compute_matrix_vxc
      60             :    USE qs_neighbor_list_types,          ONLY: neighbor_list_set_p_type
      61             :    USE qs_rho_types,                    ONLY: qs_rho_get,&
      62             :                                               qs_rho_type
      63             :    USE qs_vxc,                          ONLY: qs_vxc_create
      64             : 
      65             : !$ USE OMP_LIB, ONLY: omp_get_max_threads, omp_get_thread_num, omp_get_num_threads
      66             : 
      67             : #include "./base/base_uses.f90"
      68             : 
      69             :    IMPLICIT NONE
      70             : 
      71             :    PRIVATE
      72             : 
      73             :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'rpa_rse'
      74             : 
      75             :    PUBLIC :: rse_energy
      76             : 
      77             : CONTAINS
      78             : 
      79             : ! **************************************************************************************************
      80             : !> \brief Single excitations energy corrections for RPA
      81             : !> \param qs_env ...
      82             : !> \param mp2_env ...
      83             : !> \param para_env ...
      84             : !> \param dft_control ...
      85             : !> \param mo_coeff ...
      86             : !> \param nmo ...
      87             : !> \param homo ...
      88             : !> \param Eigenval ...
      89             : !> \author Vladimir Rybkin, 08/2019
      90             : ! **************************************************************************************************
      91           4 :    SUBROUTINE rse_energy(qs_env, mp2_env, para_env, dft_control, &
      92           4 :                          mo_coeff, nmo, homo, Eigenval)
      93             :       TYPE(qs_environment_type), INTENT(IN), POINTER     :: qs_env
      94             :       TYPE(mp2_type), INTENT(INOUT)                      :: mp2_env
      95             :       TYPE(mp_para_env_type), INTENT(IN), POINTER        :: para_env
      96             :       TYPE(dft_control_type), INTENT(IN), POINTER        :: dft_control
      97             :       TYPE(cp_fm_type), DIMENSION(:), INTENT(IN)         :: mo_coeff
      98             :       INTEGER, INTENT(IN)                                :: nmo
      99             :       INTEGER, DIMENSION(:), INTENT(IN)                  :: homo
     100             :       REAL(KIND=dp), DIMENSION(:, :), INTENT(IN)         :: Eigenval
     101             : 
     102             :       CHARACTER(LEN=*), PARAMETER                        :: routineN = 'rse_energy'
     103             : 
     104             :       INTEGER                                            :: dimen, handle, i_global, iiB, ispin, &
     105             :                                                             j_global, jjB, n_rep_hf, ncol_local, &
     106             :                                                             nrow_local, nspins
     107           4 :       INTEGER, DIMENSION(:), POINTER                     :: col_indices, row_indices
     108             :       LOGICAL                                            :: do_hfx, hfx_treat_lsd_in_core
     109             :       REAL(KIND=dp)                                      :: coeff, corr, rse_corr
     110           4 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: diag_diff
     111             :       TYPE(cp_blacs_env_type), POINTER                   :: blacs_env
     112             :       TYPE(cp_fm_struct_type), POINTER                   :: fm_struct_tmp
     113             :       TYPE(cp_fm_type)                                   :: fm_ao, fm_ao_mo
     114           4 :       TYPE(cp_fm_type), ALLOCATABLE, DIMENSION(:)        :: fm_P_mu_nu, fm_X_mo, fm_XC_mo
     115           4 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: mat_mu_nu, matrix_s, rho_ao
     116             :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     117           4 :          POINTER                                         :: sab_orb
     118             :       TYPE(qs_energy_type), POINTER                      :: energy
     119             :       TYPE(qs_rho_type), POINTER                         :: rho
     120             :       TYPE(section_vals_type), POINTER                   :: hfx_sections, input
     121             : 
     122           4 :       CALL timeset(routineN, handle)
     123             : 
     124           4 :       nspins = dft_control%nspins
     125             : 
     126             :       ! Pick the diagonal terms
     127             :       CALL cp_fm_get_info(matrix=mo_coeff(1), &
     128             :                           nrow_local=nrow_local, &
     129             :                           ncol_local=ncol_local, &
     130             :                           row_indices=row_indices, &
     131           4 :                           col_indices=col_indices)
     132             : 
     133             :       ! start collecting stuff
     134           4 :       dimen = nmo
     135           4 :       NULLIFY (input, matrix_s, blacs_env, rho, energy, sab_orb)
     136             :       CALL get_qs_env(qs_env, &
     137             :                       input=input, &
     138             :                       matrix_s=matrix_s, &
     139             :                       blacs_env=blacs_env, &
     140             :                       rho=rho, &
     141             :                       energy=energy, &
     142           4 :                       sab_orb=sab_orb)
     143             : 
     144           4 :       CALL qs_rho_get(rho, rho_ao=rho_ao)
     145             : 
     146             :       ! hfx section
     147           4 :       NULLIFY (hfx_sections)
     148           4 :       hfx_sections => section_vals_get_subs_vals(input, "DFT%XC%WF_CORRELATION%RI_RPA%HF")
     149           4 :       CALL section_vals_get(hfx_sections, explicit=do_hfx, n_repetition=n_rep_hf)
     150           4 :       IF (do_hfx) THEN
     151             :          CALL section_vals_val_get(hfx_sections, "TREAT_LSD_IN_CORE", l_val=hfx_treat_lsd_in_core, &
     152           4 :                                    i_rep_section=1)
     153             :       END IF
     154             : 
     155             :       ! create work array
     156           4 :       NULLIFY (mat_mu_nu)
     157           4 :       CALL dbcsr_allocate_matrix_set(mat_mu_nu, nspins)
     158          10 :       DO ispin = 1, nspins
     159           6 :          ALLOCATE (mat_mu_nu(ispin)%matrix)
     160             :          CALL dbcsr_create(matrix=mat_mu_nu(ispin)%matrix, template=matrix_s(1)%matrix, name="T_mu_nu", &
     161           6 :                            matrix_type=dbcsr_type_symmetric, nze=0)
     162           6 :          CALL cp_dbcsr_alloc_block_from_nbl(mat_mu_nu(ispin)%matrix, sab_orb)
     163          10 :          CALL dbcsr_set(mat_mu_nu(ispin)%matrix, 0.0_dp)
     164             :       END DO
     165             : 
     166             :       ! Dense (full) matrices
     167          18 :       ALLOCATE (fm_P_mu_nu(nspins))
     168           4 :       NULLIFY (fm_struct_tmp)
     169             :       CALL cp_fm_struct_create(fm_struct_tmp, para_env=para_env, context=blacs_env, &
     170           4 :                                nrow_global=dimen, ncol_global=dimen)
     171          10 :       DO ispin = 1, nspins
     172           6 :          CALL cp_fm_create(fm_P_mu_nu(ispin), fm_struct_tmp, name="P_mu_nu")
     173          10 :          CALL cp_fm_set_all(fm_P_mu_nu(ispin), 0.0_dp)
     174             :       END DO
     175           4 :       CALL cp_fm_struct_release(fm_struct_tmp)
     176             : 
     177           4 :       NULLIFY (fm_struct_tmp)
     178             :       CALL cp_fm_struct_create(fm_struct_tmp, para_env=para_env, context=blacs_env, &
     179           4 :                                nrow_global=dimen, ncol_global=dimen)
     180          32 :       ALLOCATE (fm_X_mo(nspins), fm_XC_mo(nspins))
     181          10 :       DO ispin = 1, nspins
     182           6 :          CALL cp_fm_create(fm_X_mo(ispin), fm_struct_tmp, name="f_X_mo")
     183           6 :          CALL cp_fm_create(fm_XC_mo(ispin), fm_struct_tmp, name="f_XC_mo")
     184           6 :          CALL cp_fm_set_all(fm_X_mo(ispin), 0.0_dp)
     185          10 :          CALL cp_fm_set_all(fm_XC_mo(ispin), 0.0_dp)
     186             :       END DO
     187           4 :       CALL cp_fm_struct_release(fm_struct_tmp)
     188             : 
     189             :       CALL cp_fm_struct_create(fm_struct_tmp, para_env=para_env, context=blacs_env, &
     190           4 :                                nrow_global=dimen, ncol_global=dimen)
     191           4 :       CALL cp_fm_create(fm_ao, fm_struct_tmp, name="f_ao")
     192           4 :       CALL cp_fm_struct_release(fm_struct_tmp)
     193           4 :       CALL cp_fm_set_all(fm_ao, 0.0_dp)
     194             :       CALL cp_fm_struct_create(fm_struct_tmp, para_env=para_env, context=blacs_env, &
     195           4 :                                nrow_global=dimen, ncol_global=dimen)
     196           4 :       CALL cp_fm_create(fm_ao_mo, fm_struct_tmp, name="f_ao_mo")
     197           4 :       CALL cp_fm_struct_release(fm_struct_tmp)
     198           4 :       CALL cp_fm_set_all(fm_ao_mo, 0.0_dp)
     199             : 
     200             :       !
     201             :       !     Ready with preparations, do the real staff
     202             :       !
     203             : 
     204             :       ! Obtain density matrix like quantity
     205             : 
     206           4 :       coeff = 1.0_dp
     207           4 :       IF (nspins == 1) coeff = 2.0_dp
     208          10 :       DO ispin = 1, nspins
     209             :          CALL parallel_gemm(transa='N', transb='T', m=dimen, n=dimen, k=homo(ispin), alpha=coeff, &
     210             :                             matrix_a=mo_coeff(ispin), matrix_b=mo_coeff(ispin), &
     211          10 :                             beta=0.0_dp, matrix_c=fm_P_mu_nu(ispin))
     212             :       END DO
     213             : 
     214             :       ! Calculate exact exchange contribution
     215             :       CALL exchange_contribution(qs_env, para_env, dimen, mo_coeff, &
     216             :                                  hfx_sections, n_rep_hf, &
     217             :                                  rho, mat_mu_nu, fm_P_mu_nu, &
     218           4 :                                  fm_ao, fm_X_mo, fm_ao_mo)
     219             : 
     220             :       ! Calculate DFT exchange-correlation contribution
     221           4 :       CALL xc_contribution(qs_env, fm_ao, fm_ao_mo, fm_XC_mo, mo_coeff, dimen)
     222             : 
     223          12 :       ALLOCATE (diag_diff(dimen))
     224           4 :       rse_corr = 0.0_dp
     225             : 
     226          10 :       DO ispin = 1, nspins
     227             :          ! Compute the correction matrix: it is stored in fm_X_mo
     228           6 :          CALL cp_fm_scale_and_add(1.0_dp, fm_X_mo(ispin), -1.0_dp, fm_XC_mo(ispin))
     229             : 
     230             :          ! Pick the diagonal terms
     231           6 :          CALL cp_fm_get_diag(fm_X_mo(ispin), diag_diff)
     232             : 
     233             :          ! Compute the correction
     234             :          CALL cp_fm_get_info(matrix=fm_X_mo(ispin), &
     235             :                              nrow_local=nrow_local, &
     236             :                              ncol_local=ncol_local, &
     237             :                              row_indices=row_indices, &
     238           6 :                              col_indices=col_indices)
     239             : 
     240           6 :          corr = 0.0_dp
     241             : 
     242             : !$OMP PARALLEL DO DEFAULT(NONE) PRIVATE(jjB,iiB,i_global,j_global) &
     243             : !$OMP             REDUCTION(+: corr) &
     244           6 : !$OMP             SHARED(ncol_local,nrow_local,col_indices,row_indices,diag_diff,eigenval,fm_X_mo,homo,ispin)
     245             :          DO jjB = 1, ncol_local
     246             :             j_global = col_indices(jjB)
     247             :             DO iiB = 1, nrow_local
     248             :                i_global = row_indices(iiB)
     249             :                IF ((i_global .LE. homo(ispin)) .AND. (j_global .GT. homo(ispin))) THEN
     250             :                   corr = corr + fm_X_mo(ispin)%local_data(iib, jjb)**2.0_dp/ &
     251             :                          (eigenval(i_global, ispin) - eigenval(j_global, ispin) - diag_diff(i_global) + diag_diff(j_global))
     252             :                END IF
     253             :             END DO
     254             :          END DO
     255             : !$OMP END PARALLEL DO
     256             : 
     257          10 :          rse_corr = rse_corr + corr
     258             :       END DO
     259             : 
     260           4 :       CALL para_env%sum(rse_corr)
     261             : 
     262           4 :       IF (nspins == 1) rse_corr = rse_corr*2.0_dp
     263             : 
     264           4 :       mp2_env%ri_rpa%rse_corr_diag = rse_corr
     265             : 
     266           4 :       CALL non_diag_rse(fm_X_mo, eigenval, dimen, homo, para_env, blacs_env, rse_corr)
     267             : 
     268           4 :       IF (nspins == 1) rse_corr = rse_corr*2.0_dp
     269             : 
     270           4 :       mp2_env%ri_rpa%rse_corr = rse_corr
     271             : 
     272             :       ! Release staff
     273           4 :       DEALLOCATE (diag_diff)
     274           4 :       CALL cp_fm_release(fm_ao)
     275           4 :       CALL cp_fm_release(fm_ao_mo)
     276           4 :       CALL cp_fm_release(fm_P_mu_nu)
     277           4 :       CALL cp_fm_release(fm_X_mo)
     278           4 :       CALL cp_fm_release(fm_XC_mo)
     279          10 :       DO ispin = 1, nspins
     280           6 :          CALL dbcsr_release(mat_mu_nu(ispin)%matrix)
     281          10 :          DEALLOCATE (mat_mu_nu(ispin)%matrix)
     282             :       END DO
     283           4 :       DEALLOCATE (mat_mu_nu)
     284             : 
     285           4 :       CALL timestop(handle)
     286             : 
     287          20 :    END SUBROUTINE rse_energy
     288             : 
     289             : ! **************************************************************************************************
     290             : !> \brief HF exchange occupied-virtual matrix
     291             : !> \param qs_env ...
     292             : !> \param para_env ...
     293             : !> \param dimen ...
     294             : !> \param mo_coeff ...
     295             : !> \param hfx_sections ...
     296             : !> \param n_rep_hf ...
     297             : !> \param rho_work ...
     298             : !> \param mat_mu_nu ...
     299             : !> \param fm_P_mu_nu ...
     300             : !> \param fm_X_ao ...
     301             : !> \param fm_X_mo ...
     302             : !> \param fm_X_ao_mo ...
     303             : ! **************************************************************************************************
     304          12 :    SUBROUTINE exchange_contribution(qs_env, para_env, dimen, mo_coeff, &
     305             :                                     hfx_sections, n_rep_hf, &
     306           4 :                                     rho_work, mat_mu_nu, fm_P_mu_nu, &
     307           4 :                                     fm_X_ao, fm_X_mo, fm_X_ao_mo)
     308             :       TYPE(qs_environment_type), INTENT(IN), POINTER     :: qs_env
     309             :       TYPE(mp_para_env_type), INTENT(IN), POINTER        :: para_env
     310             :       INTEGER, INTENT(IN)                                :: dimen
     311             :       TYPE(cp_fm_type), DIMENSION(:), INTENT(IN)         :: mo_coeff
     312             :       TYPE(section_vals_type), INTENT(IN), POINTER       :: hfx_sections
     313             :       INTEGER, INTENT(IN)                                :: n_rep_hf
     314             :       TYPE(qs_rho_type), INTENT(IN), POINTER             :: rho_work
     315             :       TYPE(dbcsr_p_type), DIMENSION(:), INTENT(IN), &
     316             :          POINTER                                         :: mat_mu_nu
     317             :       TYPE(cp_fm_type), DIMENSION(:), INTENT(IN)         :: fm_P_mu_nu
     318             :       TYPE(cp_fm_type), INTENT(IN)                       :: fm_X_ao
     319             :       TYPE(cp_fm_type), DIMENSION(:), INTENT(IN)         :: fm_X_mo
     320             :       TYPE(cp_fm_type), INTENT(IN)                       :: fm_X_ao_mo
     321             : 
     322             :       CHARACTER(LEN=*), PARAMETER :: routineN = 'exchange_contribution'
     323             : 
     324             :       INTEGER                                            :: handle, irep, is, ns
     325             :       LOGICAL                                            :: my_recalc_hfx_integrals
     326             :       REAL(KIND=dp)                                      :: ehfx
     327           4 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: P_mu_nu, rho_work_ao
     328           4 :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: mat_2d, rho_ao_2d
     329             : 
     330           4 :       CALL timeset(routineN, handle)
     331             : 
     332           4 :       CALL qs_rho_get(rho_work, rho_ao=rho_work_ao)
     333           4 :       ns = SIZE(rho_work_ao)
     334           4 :       NULLIFY (P_mu_nu)
     335           4 :       CALL dbcsr_allocate_matrix_set(P_mu_nu, ns)
     336          10 :       DO is = 1, ns
     337           6 :          CALL dbcsr_init_p(P_mu_nu(is)%matrix)
     338           6 :          CALL dbcsr_create(P_mu_nu(is)%matrix, template=rho_work_ao(1)%matrix)
     339           6 :          CALL dbcsr_copy(P_mu_nu(is)%matrix, rho_work_ao(1)%matrix)
     340          10 :          CALL dbcsr_set(P_mu_nu(is)%matrix, 0.0_dp)
     341             :       END DO
     342             : 
     343           4 :       my_recalc_hfx_integrals = .TRUE.
     344             : 
     345           4 :       CALL exx_pre_hfx(hfx_sections, qs_env%mp2_env%ri_rpa%x_data, qs_env%mp2_env%ri_rpa%reuse_hfx)
     346          10 :       DO is = 1, ns
     347           6 :          CALL copy_fm_to_dbcsr(fm_P_mu_nu(is), P_mu_nu(1)%matrix, keep_sparsity=.TRUE.)
     348             : 
     349           6 :          CALL dbcsr_set(mat_mu_nu(1)%matrix, 0.0_dp)
     350             : 
     351           6 :          IF (qs_env%mp2_env%ri_rpa%x_data(1, 1)%do_hfx_ri) THEN
     352             : 
     353           0 :             DO irep = 1, n_rep_hf
     354           0 :                rho_ao_2d(1:ns, 1:1) => P_mu_nu(1:ns)
     355           0 :                mat_2d(1:ns, 1:1) => mat_mu_nu(1:ns)
     356             :                CALL hfx_ri_update_ks(qs_env, qs_env%mp2_env%ri_rpa%x_data(irep, 1)%ri_data, mat_2d, ehfx, &
     357             :                                      rho_ao=rho_ao_2d, geometry_did_change=my_recalc_hfx_integrals, nspins=1, &
     358           0 :                                      hf_fraction=qs_env%mp2_env%ri_rpa%x_data(irep, 1)%general_parameter%fraction)
     359             : 
     360           0 :                IF (ns == 2) CALL dbcsr_scale(mat_mu_nu(1)%matrix, 2.0_dp)
     361           0 :                my_recalc_hfx_integrals = .FALSE.
     362             :             END DO
     363             : 
     364             :          ELSE
     365             : 
     366          12 :             DO irep = 1, n_rep_hf
     367           6 :                rho_ao_2d(1:ns, 1:1) => P_mu_nu(1:ns)
     368           6 :                mat_2d(1:ns, 1:1) => mat_mu_nu(1:ns)
     369             :                CALL integrate_four_center(qs_env, qs_env%mp2_env%ri_rpa%x_data, mat_2d, ehfx, rho_ao_2d, hfx_sections, &
     370             :                                           para_env, my_recalc_hfx_integrals, irep, .TRUE., &
     371           6 :                                           ispin=1)
     372             : 
     373          12 :                my_recalc_hfx_integrals = .FALSE.
     374             :             END DO
     375             :          END IF
     376             : 
     377             :          ! copy back to fm
     378           6 :          CALL cp_fm_set_all(fm_X_ao, 0.0_dp)
     379           6 :          CALL copy_dbcsr_to_fm(matrix=mat_mu_nu(1)%matrix, fm=fm_X_ao)
     380           6 :          CALL cp_fm_set_all(fm_X_mo(is), 0.0_dp)
     381             : 
     382             :          ! First index
     383             :          CALL parallel_gemm('T', 'N', dimen, dimen, dimen, 1.0_dp, &
     384           6 :                             mo_coeff(is), fm_X_ao, 0.0_dp, fm_X_ao_mo)
     385             : 
     386             :          ! Second index
     387             :          CALL parallel_gemm('N', 'N', dimen, dimen, dimen, 1.0_dp, &
     388          10 :                             fm_X_ao_mo, mo_coeff(is), 1.0_dp, fm_X_mo(is))
     389             : 
     390             :       END DO
     391           4 :       CALL exx_post_hfx(qs_env, qs_env%mp2_env%ri_rpa%x_data, qs_env%mp2_env%ri_rpa%reuse_hfx)
     392             : 
     393             :       ! Release dbcsr objects
     394          10 :       DO is = 1, SIZE(P_mu_nu)
     395           6 :          CALL dbcsr_release(P_mu_nu(is)%matrix)
     396          10 :          DEALLOCATE (P_mu_nu(is)%matrix)
     397             :       END DO
     398           4 :       DEALLOCATE (P_mu_nu)
     399             : 
     400           4 :       CALL timestop(handle)
     401             : 
     402           4 :    END SUBROUTINE exchange_contribution
     403             : 
     404             : ! **************************************************************************************************
     405             : !> \brief Exchange-correlation occupied-virtual matrix
     406             : !> \param qs_env ...
     407             : !> \param fm_XC_ao ...
     408             : !> \param fm_XC_ao_mo ...
     409             : !> \param fm_XC_mo ...
     410             : !> \param mo_coeff ...
     411             : !> \param dimen ...
     412             : ! **************************************************************************************************
     413           4 :    SUBROUTINE xc_contribution(qs_env, fm_XC_ao, fm_XC_ao_mo, fm_XC_mo, mo_coeff, dimen)
     414             :       TYPE(qs_environment_type), INTENT(IN), POINTER     :: qs_env
     415             :       TYPE(cp_fm_type), INTENT(IN)                       :: fm_XC_ao, fm_XC_ao_mo
     416             :       TYPE(cp_fm_type), DIMENSION(:), INTENT(IN)         :: fm_XC_mo, mo_coeff
     417             :       INTEGER, INTENT(IN)                                :: dimen
     418             : 
     419             :       CHARACTER(LEN=*), PARAMETER                        :: routineN = 'xc_contribution'
     420             : 
     421             :       INTEGER                                            :: handle, i
     422             :       REAL(KIND=dp)                                      :: exc
     423           4 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_vxc
     424           4 :       TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: tau_rspace, v_rspace
     425             :       TYPE(qs_ks_env_type), POINTER                      :: ks_env
     426             :       TYPE(qs_rho_type), POINTER                         :: rho
     427             :       TYPE(section_vals_type), POINTER                   :: input, xc_section
     428             : 
     429           4 :       CALL timeset(routineN, handle)
     430             : 
     431           4 :       NULLIFY (matrix_vxc, v_rspace, tau_rspace, input, xc_section, ks_env, &
     432           4 :                rho)
     433           4 :       CALL get_qs_env(qs_env, matrix_vxc=matrix_vxc, input=input, ks_env=ks_env, rho=rho)
     434           4 :       xc_section => section_vals_get_subs_vals(input, "DFT%XC")
     435             : 
     436             :       ! Compute XC matrix in AO basis
     437             :       CALL qs_vxc_create(ks_env=ks_env, rho_struct=rho, xc_section=xc_section, &
     438           4 :                          vxc_rho=v_rspace, vxc_tau=tau_rspace, exc=exc)
     439             : 
     440           4 :       IF (ASSOCIATED(v_rspace)) THEN
     441           4 :          CALL compute_matrix_vxc(qs_env=qs_env, v_rspace=v_rspace, matrix_vxc=matrix_vxc)
     442             : 
     443          10 :          DO i = 1, SIZE(v_rspace)
     444          10 :             CALL v_rspace(i)%release()
     445             :          END DO
     446           4 :          DEALLOCATE (v_rspace)
     447             : 
     448          10 :          DO i = 1, SIZE(matrix_vxc)
     449           6 :             CALL cp_fm_set_all(fm_XC_ao, 0.0_dp)
     450           6 :             CALL copy_dbcsr_to_fm(matrix=matrix_vxc(i)%matrix, fm=fm_XC_ao)
     451           6 :             CALL cp_fm_set_all(fm_XC_mo(i), 0.0_dp)
     452             : 
     453             :             ! First index
     454             :             CALL parallel_gemm('T', 'N', dimen, dimen, dimen, 1.0_dp, &
     455           6 :                                mo_coeff(i), fm_XC_ao, 0.0_dp, fm_XC_ao_mo)
     456             : 
     457             :             ! Second index
     458             :             CALL parallel_gemm('N', 'N', dimen, dimen, dimen, 1.0_dp, &
     459          10 :                                fm_XC_ao_mo, mo_coeff(i), 1.0_dp, fm_XC_mo(i))
     460             : 
     461             :          END DO
     462             : 
     463          10 :          DO i = 1, SIZE(matrix_vxc)
     464           6 :             CALL dbcsr_release(matrix_vxc(i)%matrix)
     465          10 :             DEALLOCATE (matrix_vxc(i)%matrix)
     466             :          END DO
     467           4 :          DEALLOCATE (matrix_vxc)
     468             :       END IF
     469             : 
     470           4 :       CALL timestop(handle)
     471             : 
     472           4 :    END SUBROUTINE xc_contribution
     473             : 
     474             : ! **************************************************************************************************
     475             : !> \brief ...
     476             : !> \param fm_F_mo ...
     477             : !> \param eigenval ...
     478             : !> \param dimen ...
     479             : !> \param homo ...
     480             : !> \param para_env ...
     481             : !> \param blacs_env ...
     482             : !> \param rse_corr ...
     483             : ! **************************************************************************************************
     484           4 :    SUBROUTINE non_diag_rse(fm_F_mo, eigenval, dimen, homo, para_env, &
     485             :                            blacs_env, rse_corr)
     486             :       TYPE(cp_fm_type), DIMENSION(:), INTENT(IN)         :: fm_F_mo
     487             :       REAL(KIND=dp), DIMENSION(:, :), INTENT(IN)         :: Eigenval
     488             :       INTEGER, INTENT(IN)                                :: dimen
     489             :       INTEGER, DIMENSION(:), INTENT(IN)                  :: homo
     490             :       TYPE(mp_para_env_type), INTENT(IN), POINTER        :: para_env
     491             :       TYPE(cp_blacs_env_type), INTENT(IN), POINTER       :: blacs_env
     492             :       REAL(KIND=dp), INTENT(OUT)                         :: rse_corr
     493             : 
     494             :       CHARACTER(LEN=*), PARAMETER                        :: routineN = 'non_diag_rse'
     495             : 
     496             :       INTEGER                                            :: handle, i_global, iiB, ispin, j_global, &
     497             :                                                             jjB, ncol_local, nrow_local, nspins, &
     498             :                                                             virtual
     499           4 :       INTEGER, DIMENSION(:), POINTER                     :: col_indices, row_indices
     500             :       REAL(KIND=dp)                                      :: corr
     501           4 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: eig_o, eig_semi_can, eig_v
     502             :       TYPE(cp_fm_struct_type), POINTER                   :: fm_struct_tmp
     503             :       TYPE(cp_fm_type)                                   :: fm_F_oo, fm_F_ov, fm_F_vv, fm_O, fm_tmp, &
     504             :                                                             fm_U
     505             : 
     506           4 :       CALL timeset(routineN, handle)
     507             : 
     508           4 :       nspins = SIZE(fm_f_mo)
     509             : 
     510          10 :       DO ispin = 1, nspins
     511             :          ! Add eigenvalues on the diagonal
     512             :          CALL cp_fm_get_info(matrix=fm_F_mo(ispin), &
     513             :                              nrow_local=nrow_local, &
     514             :                              ncol_local=ncol_local, &
     515             :                              row_indices=row_indices, &
     516           6 :                              col_indices=col_indices)
     517             : 
     518             : !$OMP PARALLEL DO DEFAULT(NONE) PRIVATE(jjB,iiB,i_global,j_global) &
     519          10 : !$OMP             SHARED(ncol_local,nrow_local,col_indices,row_indices,fm_F_mo,eigenval,ispin)
     520             :          DO jjB = 1, ncol_local
     521             :             j_global = col_indices(jjB)
     522             :             DO iiB = 1, nrow_local
     523             :                i_global = row_indices(iiB)
     524             :                IF (i_global .EQ. j_global) fm_F_mo(ispin)%local_data(iib, jjb) = &
     525             :                   fm_F_mo(ispin)%local_data(iib, jjb) + eigenval(i_global, ispin)
     526             :             END DO
     527             :          END DO
     528             : !$OMP END PARALLEL DO
     529             :       END DO
     530             : 
     531           4 :       rse_corr = 0.0_dp
     532             : 
     533          10 :       DO ispin = 1, nspins
     534           6 :          IF (homo(ispin) <= 0 .OR. homo(ispin) >= dimen) CYCLE
     535             :          ! Create the occupied-occupied and virtual-virtual blocks, eigenvectors
     536           6 :          NULLIFY (fm_struct_tmp)
     537             :          CALL cp_fm_struct_create(fm_struct_tmp, para_env=para_env, context=blacs_env, &
     538           6 :                                   nrow_global=homo(ispin), ncol_global=homo(ispin))
     539           6 :          CALL cp_fm_create(fm_F_oo, fm_struct_tmp, name="F_oo")
     540           6 :          CALL cp_fm_create(fm_O, fm_struct_tmp, name="O")
     541           6 :          CALL cp_fm_set_all(fm_F_oo, 0.0_dp)
     542           6 :          CALL cp_fm_set_all(fm_O, 0.0_dp)
     543           6 :          CALL cp_fm_struct_release(fm_struct_tmp)
     544             : 
     545             :          CALL cp_fm_to_fm_submat(msource=fm_F_mo(ispin), mtarget=fm_F_oo, &
     546             :                                  nrow=homo(ispin), ncol=homo(ispin), &
     547             :                                  s_firstrow=1, s_firstcol=1, &
     548           6 :                                  t_firstrow=1, t_firstcol=1)
     549           6 :          virtual = dimen - homo(ispin)
     550           6 :          NULLIFY (fm_struct_tmp)
     551             :          CALL cp_fm_struct_create(fm_struct_tmp, para_env=para_env, context=blacs_env, &
     552           6 :                                   nrow_global=virtual, ncol_global=virtual)
     553           6 :          CALL cp_fm_create(fm_F_vv, fm_struct_tmp, name="F_vv")
     554           6 :          CALL cp_fm_create(fm_U, fm_struct_tmp, name="U")
     555           6 :          CALL cp_fm_set_all(fm_F_vv, 0.0_dp)
     556           6 :          CALL cp_fm_set_all(fm_U, 0.0_dp)
     557           6 :          CALL cp_fm_struct_release(fm_struct_tmp)
     558             : 
     559             :          CALL cp_fm_to_fm_submat(msource=fm_F_mo(ispin), mtarget=fm_F_vv, &
     560             :                                  nrow=virtual, ncol=virtual, &
     561             :                                  s_firstrow=homo(ispin) + 1, s_firstcol=homo(ispin) + 1, &
     562           6 :                                  t_firstrow=1, t_firstcol=1)
     563             : 
     564             :          ! Diagonalize occupied-occupied and virtual-virtual matrices
     565          18 :          ALLOCATE (eig_o(homo(ispin)))
     566          18 :          ALLOCATE (eig_v(virtual))
     567          58 :          eig_v = 0.0_dp
     568          14 :          eig_o = 0.0_dp
     569           6 :          CALL choose_eigv_solver(fm_F_oo, fm_O, eig_o)
     570           6 :          CALL choose_eigv_solver(fm_F_vv, fm_U, eig_v)
     571             : 
     572             :          ! Collect the eigenvalues to one array
     573          18 :          ALLOCATE (eig_semi_can(dimen))
     574          66 :          eig_semi_can = 0.0_dp
     575          14 :          eig_semi_can(1:homo(ispin)) = eig_o(:)
     576          58 :          eig_semi_can(homo(ispin) + 1:dimen) = eig_v(:)
     577             : 
     578             :          ! Create occupied-virtual block
     579           6 :          NULLIFY (fm_struct_tmp)
     580             :          CALL cp_fm_struct_create(fm_struct_tmp, para_env=para_env, context=blacs_env, &
     581           6 :                                   nrow_global=homo(ispin), ncol_global=virtual)
     582           6 :          CALL cp_fm_create(fm_F_ov, fm_struct_tmp, name="F_ov")
     583           6 :          CALL cp_fm_create(fm_tmp, fm_struct_tmp, name="tmp")
     584           6 :          CALL cp_fm_set_all(fm_F_ov, 0.0_dp)
     585           6 :          CALL cp_fm_set_all(fm_tmp, 0.0_dp)
     586           6 :          CALL cp_fm_struct_release(fm_struct_tmp)
     587             : 
     588             :          CALL cp_fm_to_fm_submat(msource=fm_F_mo(ispin), mtarget=fm_F_ov, &
     589             :                                  nrow=homo(ispin), ncol=virtual, &
     590             :                                  s_firstrow=1, s_firstcol=homo(ispin) + 1, &
     591           6 :                                  t_firstrow=1, t_firstcol=1)
     592             : 
     593             :          CALL parallel_gemm(transa='T', transb='N', m=homo(ispin), n=virtual, k=homo(ispin), alpha=1.0_dp, &
     594           6 :                             matrix_a=fm_O, matrix_b=fm_F_ov, beta=0.0_dp, matrix_c=fm_tmp)
     595             : 
     596             :          CALL parallel_gemm(transa='N', transb='N', m=homo(ispin), n=virtual, k=virtual, alpha=1.0_dp, &
     597           6 :                             matrix_a=fm_tmp, matrix_b=fm_U, beta=0.0_dp, matrix_c=fm_F_ov)
     598             : 
     599             :          ! Compute the correction
     600             :          CALL cp_fm_get_info(matrix=fm_F_ov, &
     601             :                              nrow_local=nrow_local, &
     602             :                              ncol_local=ncol_local, &
     603             :                              row_indices=row_indices, &
     604           6 :                              col_indices=col_indices)
     605           6 :          corr = 0.0_dp
     606             : !$OMP    PARALLEL DO DEFAULT(NONE) PRIVATE(jjB,iiB,i_global,j_global) &
     607             : !$OMP             REDUCTION(+:corr) &
     608           6 : !$OMP                SHARED(ncol_local,nrow_local,col_indices,row_indices,fm_F_ov,eig_semi_can,homo,ispin)
     609             :          DO jjB = 1, ncol_local
     610             :             j_global = col_indices(jjB)
     611             :             DO iiB = 1, nrow_local
     612             :                i_global = row_indices(iiB)
     613             :                corr = corr + fm_F_ov%local_data(iib, jjb)**2.0_dp/ &
     614             :                       (eig_semi_can(i_global) - eig_semi_can(j_global + homo(ispin)))
     615             :             END DO
     616             :          END DO
     617             : !$OMP    END PARALLEL DO
     618             : 
     619           6 :          rse_corr = rse_corr + corr
     620             : 
     621             :          ! Release
     622           6 :          DEALLOCATE (eig_semi_can)
     623           6 :          DEALLOCATE (eig_o)
     624           6 :          DEALLOCATE (eig_v)
     625             : 
     626           6 :          CALL cp_fm_release(fm_F_ov)
     627           6 :          CALL cp_fm_release(fm_F_oo)
     628           6 :          CALL cp_fm_release(fm_F_vv)
     629           6 :          CALL cp_fm_release(fm_U)
     630           6 :          CALL cp_fm_release(fm_O)
     631          34 :          CALL cp_fm_release(fm_tmp)
     632             : 
     633             :       END DO
     634             : 
     635           4 :       CALL para_env%sum(rse_corr)
     636             : 
     637           4 :       CALL timestop(handle)
     638             : 
     639           8 :    END SUBROUTINE non_diag_rse
     640             : 
     641             : END MODULE rpa_rse

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