LCOV - code coverage report
Current view: top level - src - qs_charge_mixing.F (source / functions) Coverage Total Hit
Test: CP2K Regtests (git:c24029e) Lines: 93.4 % 183 171
Test Date: 2026-07-04 06:36:57 Functions: 100.0 % 5 5

            Line data    Source code
       1              : !--------------------------------------------------------------------------------------------------!
       2              : !   CP2K: A general program to perform molecular dynamics simulations                              !
       3              : !   Copyright 2000-2026 CP2K developers group <https://cp2k.org>                                   !
       4              : !                                                                                                  !
       5              : !   SPDX-License-Identifier: GPL-2.0-or-later                                                      !
       6              : !--------------------------------------------------------------------------------------------------!
       7              : 
       8              : ! **************************************************************************************************
       9              : MODULE qs_charge_mixing
      10              : 
      11              : #if defined(__TBLITE)
      12              :    USE mctc_env, ONLY: error_type
      13              :    USE tblite_scc_mixer, ONLY: new_cp2k_tblite_mixer
      14              : #endif
      15              :    USE input_constants, ONLY: tblite_mixer_damping_default, &
      16              :                               tblite_mixer_iterations_default, &
      17              :                               tblite_mixer_max_weight_default, &
      18              :                               tblite_mixer_min_weight_default, &
      19              :                               tblite_mixer_omega0_default, &
      20              :                               tblite_mixer_weight_factor_default, &
      21              :                               tblite_scc_mixer_auto, &
      22              :                               tblite_scc_mixer_cp2k, &
      23              :                               tblite_scc_mixer_none, &
      24              :                               tblite_scc_mixer_tblite
      25              :    USE kinds, ONLY: dp
      26              :    USE mathlib, ONLY: get_pseudo_inverse_svd
      27              :    USE message_passing, ONLY: mp_para_env_type
      28              :    USE qs_density_mixing_types, ONLY: broyden_mixing_nr, &
      29              :                                       gspace_mixing_nr, &
      30              :                                       mixing_storage_type, &
      31              :                                       modified_broyden_mixing_nr, &
      32              :                                       multisecant_mixing_nr, &
      33              :                                       new_pulay_mixing_nr, &
      34              :                                       pulay_mixing_nr
      35              : #include "./base/base_uses.f90"
      36              : 
      37              :    IMPLICIT NONE
      38              : 
      39              :    PRIVATE
      40              : 
      41              :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'qs_charge_mixing'
      42              : 
      43              :    PUBLIC :: charge_mixing, charge_mixing_scc_error
      44              : 
      45              :    REAL(KIND=dp), PARAMETER, PRIVATE :: tblite_scc_pconv = 2.0E-5_dp
      46              : 
      47              : CONTAINS
      48              : 
      49              : ! **************************************************************************************************
      50              : !> \brief  Driver for TB SCC variable mixing, calls the requested method.
      51              : !> \param mixing_method ...
      52              : !> \param mixing_store ...
      53              : !> \param charges ...
      54              : !> \param para_env ...
      55              : !> \param iter_count ...
      56              : !> \param scc_mixer ...
      57              : !> \param tblite_mixer_iterations ...
      58              : !> \param tblite_mixer_damping ...
      59              : !> \param tblite_mixer_memory ...
      60              : !> \param tblite_mixer_omega0 ...
      61              : !> \param tblite_mixer_min_weight ...
      62              : !> \param tblite_mixer_max_weight ...
      63              : !> \param tblite_mixer_weight_factor ...
      64              : !> \par History
      65              : !> \author JGH
      66              : ! **************************************************************************************************
      67        34534 :    SUBROUTINE charge_mixing(mixing_method, mixing_store, charges, para_env, iter_count, &
      68              :                             scc_mixer, tblite_mixer_iterations, tblite_mixer_damping, &
      69              :                             tblite_mixer_memory, tblite_mixer_omega0, tblite_mixer_min_weight, &
      70              :                             tblite_mixer_max_weight, tblite_mixer_weight_factor)
      71              :       INTEGER, INTENT(IN)                                :: mixing_method
      72              :       TYPE(mixing_storage_type), POINTER                 :: mixing_store
      73              :       REAL(KIND=dp), DIMENSION(:, :), INTENT(INOUT)      :: charges
      74              :       TYPE(mp_para_env_type), POINTER                    :: para_env
      75              :       INTEGER, INTENT(IN)                                :: iter_count
      76              :       INTEGER, INTENT(IN), OPTIONAL                      :: scc_mixer, tblite_mixer_iterations
      77              :       REAL(KIND=dp), INTENT(IN), OPTIONAL                :: tblite_mixer_damping
      78              :       INTEGER, INTENT(IN), OPTIONAL                      :: tblite_mixer_memory
      79              :       REAL(KIND=dp), INTENT(IN), OPTIONAL                :: tblite_mixer_omega0, &
      80              :                                                             tblite_mixer_min_weight, &
      81              :                                                             tblite_mixer_max_weight, &
      82              :                                                             tblite_mixer_weight_factor
      83              : 
      84              :       CHARACTER(len=*), PARAMETER                        :: routineN = 'charge_mixing'
      85              : 
      86              :       INTEGER                                            :: effective_scc_mixer, handle, ia, ii, &
      87              :                                                             imin, inow, nbuffer, ns, nvec
      88              :       REAL(dp)                                           :: alpha
      89              : #if defined(__TBLITE)
      90              :       INTEGER                                            :: mixer_iterations, mixer_memory
      91              :       REAL(dp)                                           :: mixer_damping, mixer_max_weight, &
      92              :                                                             mixer_min_weight, mixer_omega0, &
      93              :                                                             mixer_weight_factor
      94              : #endif
      95              : 
      96        34534 :       CALL timeset(routineN, handle)
      97              : 
      98        34534 :       effective_scc_mixer = tblite_scc_mixer_cp2k
      99        34534 :       IF (PRESENT(scc_mixer)) effective_scc_mixer = scc_mixer
     100        34534 :       IF (ASSOCIATED(mixing_store)) mixing_store%tb_scc_mixer_error = 0.0_dp
     101              : 
     102           32 :       SELECT CASE (effective_scc_mixer)
     103              :       CASE (tblite_scc_mixer_auto, tblite_scc_mixer_cp2k)
     104              :          ! Use the regular CP2K SCC-variable mixing path below.
     105              :       CASE (tblite_scc_mixer_tblite)
     106           32 :          CPASSERT(ASSOCIATED(mixing_store))
     107              : #if defined(__TBLITE)
     108           32 :          mixer_damping = tblite_mixer_damping_default
     109           32 :          IF (PRESENT(tblite_mixer_damping)) mixer_damping = tblite_mixer_damping
     110           32 :          IF (mixer_damping <= 0.0_dp) CPABORT("tblite SCC mixer DAMPING must be positive")
     111           32 :          mixer_omega0 = tblite_mixer_omega0_default
     112           32 :          IF (PRESENT(tblite_mixer_omega0)) mixer_omega0 = tblite_mixer_omega0
     113           32 :          IF (mixer_omega0 <= 0.0_dp) CPABORT("tblite SCC mixer OMEGA0 must be positive")
     114           32 :          mixer_min_weight = tblite_mixer_min_weight_default
     115           32 :          IF (PRESENT(tblite_mixer_min_weight)) mixer_min_weight = tblite_mixer_min_weight
     116           32 :          IF (mixer_min_weight <= 0.0_dp) CPABORT("tblite SCC mixer MIN_WEIGHT must be positive")
     117           32 :          mixer_max_weight = tblite_mixer_max_weight_default
     118           32 :          IF (PRESENT(tblite_mixer_max_weight)) mixer_max_weight = tblite_mixer_max_weight
     119           32 :          IF (mixer_max_weight <= 0.0_dp) CPABORT("tblite SCC mixer MAX_WEIGHT must be positive")
     120           32 :          IF (mixer_max_weight < mixer_min_weight) &
     121            0 :             CPABORT("tblite SCC mixer MAX_WEIGHT must not be smaller than MIN_WEIGHT")
     122           32 :          mixer_weight_factor = tblite_mixer_weight_factor_default
     123           32 :          IF (PRESENT(tblite_mixer_weight_factor)) mixer_weight_factor = tblite_mixer_weight_factor
     124           32 :          IF (mixer_weight_factor <= 0.0_dp) CPABORT("tblite SCC mixer WEIGHT_FACTOR must be positive")
     125           32 :          mixer_iterations = tblite_mixer_iterations_default
     126           32 :          IF (PRESENT(tblite_mixer_iterations)) mixer_iterations = tblite_mixer_iterations
     127           32 :          IF (mixer_iterations < 1) CPABORT("tblite SCC mixer ITERATIONS must be positive")
     128           32 :          IF (iter_count > mixer_iterations) CPABORT("tblite SCC mixer exceeded ITERATIONS")
     129           32 :          mixer_memory = MAX(1, mixing_store%nbuffer)
     130           32 :          IF (PRESENT(tblite_mixer_memory)) mixer_memory = tblite_mixer_memory
     131           32 :          IF (mixer_memory < 1) CPABORT("tblite SCC mixer MEMORY must be positive")
     132              :          CALL tblite_charge_mixing(mixing_store, charges, para_env, iter_count, &
     133              :                                    mixer_damping, mixer_memory, mixer_omega0, mixer_min_weight, &
     134           32 :                                    mixer_max_weight, mixer_weight_factor)
     135           32 :          CALL timestop(handle)
     136           32 :          RETURN
     137              : #else
     138              :          MARK_USED(tblite_mixer_damping)
     139              :          MARK_USED(tblite_mixer_iterations)
     140              :          MARK_USED(tblite_mixer_max_weight)
     141              :          MARK_USED(tblite_mixer_memory)
     142              :          MARK_USED(tblite_mixer_min_weight)
     143              :          MARK_USED(tblite_mixer_omega0)
     144              :          MARK_USED(tblite_mixer_weight_factor)
     145              :          IF (iter_count == 1) THEN
     146              :             CALL cp_warn(__LOCATION__, &
     147              :                          "SCC_MIXER TBLITE requested but CP2K was built without tblite; "// &
     148              :                          "falling back to the CP2K SCC mixer.")
     149              :          END IF
     150              : #endif
     151              :       CASE (tblite_scc_mixer_none)
     152            0 :          IF (ASSOCIATED(mixing_store)) mixing_store%iter_method = "NoMix"
     153            0 :          CALL timestop(handle)
     154            0 :          RETURN
     155              :       CASE DEFAULT
     156        34534 :          CPABORT("Unknown SCC mixer for TB charge mixing")
     157              :       END SELECT
     158              : 
     159        34502 :       IF (mixing_method >= gspace_mixing_nr) THEN
     160         1086 :          CPASSERT(ASSOCIATED(mixing_store))
     161         1086 :          mixing_store%ncall = mixing_store%ncall + 1
     162         1086 :          ns = SIZE(charges, 2)
     163         1086 :          IF (ns > mixing_store%max_shell) THEN
     164            0 :             CPABORT("Mixing storage too small for TB SCC variables")
     165              :          END IF
     166         1086 :          alpha = mixing_store%alpha
     167         1086 :          nbuffer = mixing_store%nbuffer
     168         1086 :          inow = MOD(mixing_store%ncall - 1, nbuffer) + 1
     169         1086 :          imin = inow - 1
     170         1086 :          IF (imin == 0) imin = nbuffer
     171         1086 :          IF (mixing_store%ncall > nbuffer) THEN
     172          300 :             nvec = nbuffer
     173              :          ELSE
     174          786 :             nvec = mixing_store%ncall - 1
     175              :          END IF
     176         1086 :          IF (mixing_store%ncall > 1) THEN
     177              :             ! store in/out charge difference
     178         4064 :             DO ia = 1, mixing_store%nat_local
     179         3094 :                ii = mixing_store%atlist(ia)
     180        13050 :                mixing_store%dacharge(ia, 1:ns, imin) = mixing_store%acharge(ia, 1:ns, imin) - charges(ii, 1:ns)
     181              :             END DO
     182              :          END IF
     183         1086 :          IF ((iter_count == 1) .OR. (iter_count + 1 <= mixing_store%nskip_mixing)) THEN
     184              :             ! skip mixing
     185          126 :             mixing_store%iter_method = "NoMix"
     186          960 :          ELSEIF (((iter_count + 1 - mixing_store%nskip_mixing) <= mixing_store%n_simple_mix) .OR. (nvec == 1)) THEN
     187          102 :             CALL mix_charges_only(mixing_store, charges, alpha, imin, ns, para_env)
     188          102 :             mixing_store%iter_method = "Mixing"
     189              :          ELSEIF (mixing_method == gspace_mixing_nr) THEN
     190            0 :             CPABORT("Kerker method not available for Charge Mixing")
     191              :          ELSEIF (mixing_method == pulay_mixing_nr) THEN
     192            0 :             CPABORT("Pulay method not available for Charge Mixing")
     193              :          ELSEIF (mixing_method == broyden_mixing_nr) THEN
     194          858 :             CALL broyden_mixing(mixing_store, charges, imin, nvec, ns, para_env)
     195          858 :             mixing_store%iter_method = "Broy."
     196              :          ELSEIF (mixing_method == modified_broyden_mixing_nr) THEN
     197            0 :             CPABORT("Modified Broyden mixing is only available for DFT density mixing")
     198              :          ELSEIF (mixing_method == multisecant_mixing_nr) THEN
     199            0 :             CPABORT("Multisecant_mixing method not available for Charge Mixing")
     200              :          ELSEIF (mixing_method == new_pulay_mixing_nr) THEN
     201            0 :             CPABORT("New Pulay method not available for Charge Mixing")
     202              :          END IF
     203              : 
     204              :          ! store new 'input' charges
     205         4524 :          DO ia = 1, mixing_store%nat_local
     206         3438 :             ii = mixing_store%atlist(ia)
     207        14624 :             mixing_store%acharge(ia, 1:ns, inow) = charges(ii, 1:ns)
     208              :          END DO
     209              : 
     210              :       END IF
     211              : 
     212        34502 :       CALL timestop(handle)
     213              : 
     214              :    END SUBROUTINE charge_mixing
     215              : 
     216              : ! **************************************************************************************************
     217              : !> \brief Return the CP2K-side tblite SCC-mixer residual on the CP2K EPS_SCF scale.
     218              : !> \param mixing_store ...
     219              : !> \param eps_scf ...
     220              : !> \return ...
     221              : ! **************************************************************************************************
     222        52768 :    FUNCTION charge_mixing_scc_error(mixing_store, eps_scf) RESULT(mixer_error)
     223              :       TYPE(mixing_storage_type), POINTER                 :: mixing_store
     224              :       REAL(KIND=dp), INTENT(IN)                          :: eps_scf
     225              :       REAL(KIND=dp)                                      :: mixer_error
     226              : 
     227        52768 :       mixer_error = 0.0_dp
     228        52768 :       IF (.NOT. ASSOCIATED(mixing_store)) RETURN
     229        52768 :       IF (mixing_store%tb_scc_mixer_step <= 1) RETURN
     230              : 
     231           26 :       IF (eps_scf > 0.0_dp) THEN
     232           26 :          mixer_error = eps_scf*mixing_store%tb_scc_mixer_error/tblite_scc_pconv
     233              :       ELSE
     234            0 :          mixer_error = mixing_store%tb_scc_mixer_error
     235              :       END IF
     236              : 
     237              :    END FUNCTION charge_mixing_scc_error
     238              : 
     239              : ! **************************************************************************************************
     240              : !> \brief TBLite modified-Broyden mixing for a complete TB SCC-variable vector.
     241              : !> \param mixing_store ...
     242              : !> \param charges ...
     243              : !> \param para_env ...
     244              : !> \param iter_count ...
     245              : !> \param damping ...
     246              : !> \param memory ...
     247              : !> \param omega0 ...
     248              : !> \param min_weight ...
     249              : !> \param max_weight ...
     250              : !> \param weight_factor ...
     251              : ! **************************************************************************************************
     252           32 :    SUBROUTINE tblite_charge_mixing(mixing_store, charges, para_env, iter_count, damping, memory, omega0, &
     253              :                                    min_weight, max_weight, weight_factor)
     254              :       TYPE(mixing_storage_type), POINTER                 :: mixing_store
     255              :       REAL(KIND=dp), DIMENSION(:, :), INTENT(INOUT)      :: charges
     256              :       TYPE(mp_para_env_type), POINTER                    :: para_env
     257              :       INTEGER, INTENT(IN)                                :: iter_count, memory
     258              :       REAL(KIND=dp), INTENT(IN)                          :: damping, max_weight, min_weight, omega0, &
     259              :                                                             weight_factor
     260              : 
     261              : #if defined(__TBLITE)
     262           32 :       TYPE(error_type), ALLOCATABLE                      :: error
     263              : #endif
     264              :       INTEGER                                            :: natom, ndim, ns
     265              :       LOGICAL                                            :: on_source, reset_mixer
     266           32 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: qvec
     267              : 
     268           32 :       natom = SIZE(charges, 1)
     269           32 :       ns = SIZE(charges, 2)
     270           32 :       ndim = natom*ns
     271           96 :       ALLOCATE (qvec(ndim))
     272           64 :       qvec(:) = RESHAPE(charges, [ndim])
     273           32 :       on_source = para_env%mepos == para_env%source
     274              :       reset_mixer = (iter_count == 1) .OR. (mixing_store%tb_scc_mixer_step == 0) .OR. &
     275              :                     (mixing_store%tb_scc_mixer_natom /= natom) .OR. &
     276              :                     (mixing_store%tb_scc_mixer_ns /= ns) .OR. &
     277           32 :                     (mixing_store%tb_scc_mixer_memory /= memory)
     278           32 :       mixing_store%tb_scc_mixer_error = 0.0_dp
     279              : 
     280              : #if defined(__TBLITE)
     281           32 :       IF (reset_mixer) THEN
     282            4 :          IF (ALLOCATED(mixing_store%tb_scc_mixer)) DEALLOCATE (mixing_store%tb_scc_mixer)
     283            4 :          IF (on_source) THEN
     284              :             CALL new_cp2k_tblite_mixer(mixing_store%tb_scc_mixer, memory, ndim, damping, omega0, &
     285            2 :                                        min_weight, max_weight, weight_factor)
     286            2 :             CALL mixing_store%tb_scc_mixer%set(qvec)
     287              :          END IF
     288            4 :          mixing_store%tb_scc_mixer_natom = natom
     289            4 :          mixing_store%tb_scc_mixer_ns = ns
     290            4 :          mixing_store%tb_scc_mixer_memory = memory
     291            4 :          mixing_store%tb_scc_mixer_step = 1
     292            4 :          mixing_store%iter_method = "NoMix"
     293            4 :          CALL para_env%bcast(qvec)
     294           12 :          charges = RESHAPE(qvec, SHAPE(charges))
     295            4 :          RETURN
     296              :       END IF
     297              : 
     298           28 :       IF (on_source) THEN
     299           14 :          CPASSERT(ALLOCATED(mixing_store%tb_scc_mixer))
     300           14 :          CALL mixing_store%tb_scc_mixer%diff(qvec)
     301           14 :          mixing_store%tb_scc_mixer_error = REAL(mixing_store%tb_scc_mixer%get_error(), KIND=dp)
     302           14 :          CALL mixing_store%tb_scc_mixer%next(error)
     303           14 :          IF (ALLOCATED(error)) CPABORT("tblite SCC mixer failed")
     304           14 :          CALL mixing_store%tb_scc_mixer%get(qvec)
     305              :       END IF
     306           28 :       CALL para_env%bcast(qvec)
     307           28 :       CALL para_env%bcast(mixing_store%tb_scc_mixer_error)
     308           84 :       charges = RESHAPE(qvec, SHAPE(charges))
     309           28 :       mixing_store%tb_scc_mixer_step = mixing_store%tb_scc_mixer_step + 1
     310           28 :       mixing_store%iter_method = "TBLITE"
     311              : #else
     312              :       MARK_USED(mixing_store)
     313              :       MARK_USED(charges)
     314              :       MARK_USED(para_env)
     315              :       MARK_USED(iter_count)
     316              :       MARK_USED(damping)
     317              :       MARK_USED(memory)
     318              :       MARK_USED(omega0)
     319              :       MARK_USED(min_weight)
     320              :       MARK_USED(max_weight)
     321              :       MARK_USED(weight_factor)
     322              :       CPABORT("SCC_MIXER TBLITE requires CP2K to be built with tblite")
     323              : #endif
     324              : 
     325           32 :    END SUBROUTINE tblite_charge_mixing
     326              : 
     327              : ! **************************************************************************************************
     328              : !> \brief Simple charge mixing
     329              : !> \param mixing_store ...
     330              : !> \param charges ...
     331              : !> \param alpha ...
     332              : !> \param imin ...
     333              : !> \param ns ...
     334              : !> \param para_env ...
     335              : !> \author JGH
     336              : ! **************************************************************************************************
     337          102 :    SUBROUTINE mix_charges_only(mixing_store, charges, alpha, imin, ns, para_env)
     338              :       TYPE(mixing_storage_type), POINTER                 :: mixing_store
     339              :       REAL(KIND=dp), DIMENSION(:, :), INTENT(INOUT)      :: charges
     340              :       REAL(KIND=dp), INTENT(IN)                          :: alpha
     341              :       INTEGER, INTENT(IN)                                :: imin, ns
     342              :       TYPE(mp_para_env_type), POINTER                    :: para_env
     343              : 
     344              :       INTEGER                                            :: ia, ii
     345              : 
     346         2372 :       charges = 0.0_dp
     347              : 
     348          422 :       DO ia = 1, mixing_store%nat_local
     349          320 :          ii = mixing_store%atlist(ia)
     350         1382 :          charges(ii, 1:ns) = alpha*mixing_store%dacharge(ia, 1:ns, imin) - mixing_store%acharge(ia, 1:ns, imin)
     351              :       END DO
     352              : 
     353         4642 :       CALL para_env%sum(charges)
     354              : 
     355          102 :    END SUBROUTINE mix_charges_only
     356              : 
     357              : ! **************************************************************************************************
     358              : !> \brief Broyden charge mixing
     359              : !> \param mixing_store ...
     360              : !> \param charges ...
     361              : !> \param inow ...
     362              : !> \param nvec ...
     363              : !> \param ns ...
     364              : !> \param para_env ...
     365              : !> \author JGH
     366              : ! **************************************************************************************************
     367          858 :    SUBROUTINE broyden_mixing(mixing_store, charges, inow, nvec, ns, para_env)
     368              :       TYPE(mixing_storage_type), POINTER                 :: mixing_store
     369              :       REAL(KIND=dp), DIMENSION(:, :), INTENT(INOUT)      :: charges
     370              :       INTEGER, INTENT(IN)                                :: inow, nvec, ns
     371              :       TYPE(mp_para_env_type), POINTER                    :: para_env
     372              : 
     373              :       INTEGER                                            :: i, ia, ii, imin, j, nbuffer, nv
     374              :       REAL(KIND=dp)                                      :: alpha, broy_w0, rskip, wdf, wprod
     375          858 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: cvec, gammab
     376          858 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: amat, beta
     377          858 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: dq_last, dq_now, q_last, q_now
     378              : 
     379            0 :       CPASSERT(nvec > 1)
     380              : 
     381          858 :       nbuffer = mixing_store%nbuffer
     382          858 :       alpha = mixing_store%alpha
     383          858 :       imin = inow - 1
     384          858 :       IF (imin == 0) imin = nvec
     385          858 :       nv = nvec - 1
     386              : 
     387              :       ! charge vectors
     388          858 :       q_now => mixing_store%acharge(:, :, inow)
     389          858 :       q_last => mixing_store%acharge(:, :, imin)
     390          858 :       dq_now => mixing_store%dacharge(:, :, inow)
     391          858 :       dq_last => mixing_store%dacharge(:, :, imin)
     392              : 
     393          858 :       IF (nvec == nbuffer) THEN
     394              :          ! reshuffel Broyden storage n->n-1
     395         1900 :          DO i = 1, nv - 1
     396         1600 :             mixing_store%wbroy(i) = mixing_store%wbroy(i + 1)
     397        44168 :             mixing_store%dfbroy(:, :, i) = mixing_store%dfbroy(:, :, i + 1)
     398        44468 :             mixing_store%ubroy(:, :, i) = mixing_store%ubroy(:, :, i + 1)
     399              :          END DO
     400         1900 :          DO i = 1, nv - 1
     401        11148 :             DO j = 1, nv - 1
     402        10848 :                mixing_store%abroy(i, j) = mixing_store%abroy(i + 1, j + 1)
     403              :             END DO
     404              :          END DO
     405              :       END IF
     406              : 
     407          858 :       broy_w0 = mixing_store%broy_w0
     408          858 :       mixing_store%wbroy(nv) = 1.0_dp
     409              : 
     410              :       ! dfbroy
     411        46430 :       mixing_store%dfbroy(:, :, nv) = 0.0_dp
     412        23374 :       mixing_store%dfbroy(:, 1:ns, nv) = dq_now(:, 1:ns) - dq_last(:, 1:ns)
     413        12116 :       wdf = SUM(mixing_store%dfbroy(:, 1:ns, nv)**2)
     414          858 :       CALL para_env%sum(wdf)
     415          858 :       wdf = 1.0_dp/SQRT(wdf)
     416        12116 :       mixing_store%dfbroy(:, 1:ns, nv) = wdf*mixing_store%dfbroy(:, 1:ns, nv)
     417              : 
     418              :       ! abroy matrix
     419         4814 :       DO i = 1, nv
     420        56234 :          wprod = SUM(mixing_store%dfbroy(:, 1:ns, i)*mixing_store%dfbroy(:, 1:ns, nv))
     421         3956 :          CALL para_env%sum(wprod)
     422         3956 :          mixing_store%abroy(i, nv) = wprod
     423         4814 :          mixing_store%abroy(nv, i) = wprod
     424              :       END DO
     425              : 
     426              :       ! broyden matrices
     427         7722 :       ALLOCATE (amat(nv, nv), beta(nv, nv), cvec(nv), gammab(nv))
     428         4814 :       DO i = 1, nv
     429        56234 :          wprod = SUM(mixing_store%dfbroy(:, 1:ns, i)*dq_now(:, 1:ns))
     430         3956 :          CALL para_env%sum(wprod)
     431         4814 :          cvec(i) = mixing_store%wbroy(i)*wprod
     432              :       END DO
     433              : 
     434         4814 :       DO i = 1, nv
     435        27240 :          DO j = 1, nv
     436        27240 :             beta(j, i) = mixing_store%wbroy(j)*mixing_store%wbroy(i)*mixing_store%abroy(j, i)
     437              :          END DO
     438         4814 :          beta(i, i) = beta(i, i) + broy_w0
     439              :       END DO
     440              : 
     441          858 :       rskip = 1.e-12_dp
     442          858 :       CALL get_pseudo_inverse_svd(beta, amat, rskip)
     443        32054 :       gammab(1:nv) = MATMUL(cvec(1:nv), amat(1:nv, 1:nv))
     444              : 
     445              :       ! build ubroy
     446        46430 :       mixing_store%ubroy(:, :, nv) = 0.0_dp
     447              :       mixing_store%ubroy(:, 1:ns, nv) = alpha*mixing_store%dfbroy(:, 1:ns, nv) + &
     448        23374 :                                         wdf*(q_now(:, 1:ns) - q_last(:, 1:ns))
     449              : 
     450        20018 :       charges = 0.0_dp
     451         3614 :       DO ia = 1, mixing_store%nat_local
     452         2756 :          ii = mixing_store%atlist(ia)
     453        11516 :          charges(ii, 1:ns) = q_now(ia, 1:ns) + alpha*dq_now(ia, 1:ns)
     454              :       END DO
     455         4814 :       DO i = 1, nv
     456        17776 :          DO ia = 1, mixing_store%nat_local
     457        12962 :             ii = mixing_store%atlist(ia)
     458        53308 :             charges(ii, 1:ns) = charges(ii, 1:ns) - mixing_store%wbroy(i)*gammab(i)*mixing_store%ubroy(ia, 1:ns, i)
     459              :          END DO
     460              :       END DO
     461        39178 :       CALL para_env%sum(charges)
     462              : 
     463          858 :       DEALLOCATE (amat, beta, cvec, gammab)
     464              : 
     465          858 :    END SUBROUTINE broyden_mixing
     466              : 
     467              : END MODULE qs_charge_mixing
        

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