LCOV - code coverage report
Current view: top level - src - qs_wf_history_methods.F (source / functions) Coverage Total Hit
Test: CP2K Regtests (git:21ef868) Lines: 91.1 % 1412 1286
Test Date: 2026-08-14 07:04:57 Functions: 94.7 % 19 18

            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              : !> \brief Storage of past states of the qs_env.
      10              : !>      Methods to interpolate (or actually normally extrapolate) the
      11              : !>      new guess for density and wavefunctions.
      12              : !> \note
      13              : !>      Most of the last snapshot should actually be in qs_env, but taking
      14              : !>      advantage of it would make the programming much convoluted
      15              : !> \par History
      16              : !>      02.2003 created [fawzi]
      17              : !>      11.2003 Joost VandeVondele : Implemented Nth order PS extrapolation
      18              : !>      02.2005 modified for KG_GPW [MI]
      19              : !> \author fawzi
      20              : ! **************************************************************************************************
      21              : MODULE qs_wf_history_methods
      22              :    USE bibliography,                    ONLY: Kolafa2004,&
      23              :                                               Kuhne2007,&
      24              :                                               VandeVondele2005a,&
      25              :                                               cite_reference
      26              :    USE cell_types,                      ONLY: cell_type,&
      27              :                                               pbc,&
      28              :                                               real_to_scaled
      29              :    USE cp_cfm_basic_linalg,             ONLY: cp_cfm_column_scale,&
      30              :                                               cp_cfm_gemm,&
      31              :                                               cp_cfm_scale_and_add,&
      32              :                                               cp_cfm_scale_and_add_fm,&
      33              :                                               cp_cfm_trace,&
      34              :                                               cp_cfm_triangular_multiply
      35              :    USE cp_cfm_cholesky,                 ONLY: cp_cfm_cholesky_decompose
      36              :    USE cp_cfm_diag,                     ONLY: cp_cfm_heevd
      37              :    USE cp_cfm_types,                    ONLY: &
      38              :         cp_cfm_create, cp_cfm_get_info, cp_cfm_get_submatrix, cp_cfm_release, cp_cfm_set_all, &
      39              :         cp_cfm_set_submatrix, cp_cfm_to_cfm, cp_cfm_to_fm, cp_cfm_type, cp_fm_to_cfm
      40              :    USE cp_control_types,                ONLY: dft_control_type
      41              :    USE cp_dbcsr_api,                    ONLY: &
      42              :         dbcsr_add, dbcsr_copy, dbcsr_create, dbcsr_deallocate_matrix, dbcsr_desymmetrize, &
      43              :         dbcsr_get_info, dbcsr_multiply, dbcsr_p_type, dbcsr_release, dbcsr_set, dbcsr_type, &
      44              :         dbcsr_type_antisymmetric, dbcsr_type_no_symmetry, dbcsr_type_symmetric
      45              :    USE cp_dbcsr_contrib,                ONLY: dbcsr_frobenius_norm,&
      46              :                                               dbcsr_trace
      47              :    USE cp_dbcsr_cp2k_link,              ONLY: cp_dbcsr_alloc_block_from_nbl
      48              :    USE cp_dbcsr_operations,             ONLY: copy_dbcsr_to_fm,&
      49              :                                               cp_dbcsr_sm_fm_multiply,&
      50              :                                               dbcsr_allocate_matrix_set,&
      51              :                                               dbcsr_deallocate_matrix_set
      52              :    USE cp_fm_basic_linalg,              ONLY: cp_fm_scale,&
      53              :                                               cp_fm_scale_and_add
      54              :    USE cp_fm_pool_types,                ONLY: cp_fm_pool_p_type,&
      55              :                                               cp_fm_pool_type,&
      56              :                                               fm_pool_create_fm,&
      57              :                                               fm_pool_give_back_fm,&
      58              :                                               fm_pools_create_fm_vect,&
      59              :                                               fm_pools_give_back_fm_vect
      60              :    USE cp_fm_struct,                    ONLY: cp_fm_struct_create,&
      61              :                                               cp_fm_struct_release,&
      62              :                                               cp_fm_struct_type
      63              :    USE cp_fm_types,                     ONLY: &
      64              :         copy_info_type, cp_fm_cleanup_copy_general, cp_fm_create, cp_fm_finish_copy_general, &
      65              :         cp_fm_get_info, cp_fm_get_submatrix, cp_fm_release, cp_fm_set_all, cp_fm_set_submatrix, &
      66              :         cp_fm_start_copy_general, cp_fm_to_fm, cp_fm_type
      67              :    USE cp_log_handling,                 ONLY: cp_get_default_logger,&
      68              :                                               cp_logger_type,&
      69              :                                               cp_to_string
      70              :    USE cp_output_handling,              ONLY: cp_print_key_finished_output,&
      71              :                                               cp_print_key_unit_nr,&
      72              :                                               low_print_level
      73              :    USE input_constants,                 ONLY: &
      74              :         wfi_aspc_nr, wfi_frozen_method_nr, wfi_gext_proj_nr, wfi_gext_proj_qtr_nr, &
      75              :         wfi_linear_p_method_nr, wfi_linear_ps_method_nr, wfi_linear_wf_method_nr, &
      76              :         wfi_ps_method_nr, wfi_use_guess_method_nr, wfi_use_prev_p_method_nr, &
      77              :         wfi_use_prev_wf_method_nr
      78              :    USE kinds,                           ONLY: dp
      79              :    USE kpoint_methods,                  ONLY: kpoint_density_matrices,&
      80              :                                               kpoint_density_transform,&
      81              :                                               kpoint_set_mo_occupation,&
      82              :                                               rskp_transform
      83              :    USE kpoint_types,                    ONLY: get_kpoint_info,&
      84              :                                               kpoint_env_type,&
      85              :                                               kpoint_type
      86              :    USE mathconstants,                   ONLY: gaussi,&
      87              :                                               twopi,&
      88              :                                               z_one,&
      89              :                                               z_zero
      90              :    USE mathlib,                         ONLY: binomial
      91              :    USE message_passing,                 ONLY: mp_para_env_type
      92              :    USE parallel_gemm_api,               ONLY: parallel_gemm
      93              :    USE particle_types,                  ONLY: particle_type
      94              :    USE pw_env_types,                    ONLY: pw_env_get,&
      95              :                                               pw_env_type
      96              :    USE pw_methods,                      ONLY: pw_copy
      97              :    USE pw_pool_types,                   ONLY: pw_pool_type
      98              :    USE pw_types,                        ONLY: pw_c1d_gs_type,&
      99              :                                               pw_r3d_rs_type
     100              :    USE qs_density_matrices,             ONLY: calculate_density_matrix
     101              :    USE qs_environment_types,            ONLY: get_qs_env,&
     102              :                                               qs_environment_type,&
     103              :                                               set_qs_env
     104              :    USE qs_ks_types,                     ONLY: qs_ks_did_change
     105              :    USE qs_matrix_pools,                 ONLY: mpools_get,&
     106              :                                               qs_matrix_pools_type
     107              :    USE qs_mo_methods,                   ONLY: make_basis_cholesky,&
     108              :                                               make_basis_lowdin,&
     109              :                                               make_basis_simple,&
     110              :                                               make_basis_sm
     111              :    USE qs_mo_types,                     ONLY: get_mo_set,&
     112              :                                               mo_set_type
     113              :    USE qs_neighbor_list_types,          ONLY: neighbor_list_set_p_type
     114              :    USE qs_rho_methods,                  ONLY: qs_rho_update_rho
     115              :    USE qs_rho_types,                    ONLY: qs_rho_get,&
     116              :                                               qs_rho_type
     117              :    USE qs_scf_types,                    ONLY: ot_method_nr,&
     118              :                                               qs_scf_env_type
     119              :    USE qs_wf_history_types,             ONLY: qs_wf_history_type,&
     120              :                                               qs_wf_snapshot_type,&
     121              :                                               wfi_get_snapshot,&
     122              :                                               wfi_release
     123              :    USE scf_control_types,               ONLY: scf_control_type
     124              : #include "./base/base_uses.f90"
     125              : 
     126              :    IMPLICIT NONE
     127              :    PRIVATE
     128              : 
     129              :    LOGICAL, PRIVATE, PARAMETER :: debug_this_module = .TRUE.
     130              :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'qs_wf_history_methods'
     131              : 
     132              :    PUBLIC :: wfi_create, wfi_update, wfi_create_for_kp, &
     133              :              wfi_extrapolate, wfi_get_method_label, &
     134              :              reorthogonalize_vectors, wfi_purge_history
     135              : 
     136              : CONTAINS
     137              : 
     138              : ! **************************************************************************************************
     139              : !> \brief allocates and initialize a wavefunction snapshot
     140              : !> \param snapshot the snapshot to create
     141              : !> \par History
     142              : !>      02.2003 created [fawzi]
     143              : !>      02.2005 added wf_mol [MI]
     144              : !> \author fawzi
     145              : ! **************************************************************************************************
     146        14824 :    SUBROUTINE wfs_create(snapshot)
     147              :       TYPE(qs_wf_snapshot_type), INTENT(OUT)             :: snapshot
     148              : 
     149              :       NULLIFY (snapshot%wf, snapshot%rho_r, &
     150              :                snapshot%rho_g, snapshot%rho_ao, snapshot%rho_ao_kp, &
     151              :                snapshot%overlap, snapshot%wf_kp, snapshot%overlap_cfm_kp, &
     152              :                snapshot%kp_pbc_shift, snapshot%rho_frozen)
     153        14824 :       snapshot%dt = 1.0_dp
     154        14824 :    END SUBROUTINE wfs_create
     155              : 
     156              : ! **************************************************************************************************
     157              : !> \brief updates the given snapshot
     158              : !> \param snapshot the snapshot to be updated
     159              : !> \param wf_history the history
     160              : !> \param qs_env the qs_env that should be snapshotted
     161              : !> \param dt the time of the snapshot (wrt. to the previous snapshot)
     162              : !> \par History
     163              : !>      02.2003 created [fawzi]
     164              : !>      02.2005 added kg_fm_mol_set for KG_GPW [MI]
     165              : !> \author fawzi
     166              : ! **************************************************************************************************
     167        25264 :    SUBROUTINE wfs_update(snapshot, wf_history, qs_env, dt)
     168              :       TYPE(qs_wf_snapshot_type), POINTER                 :: snapshot
     169              :       TYPE(qs_wf_history_type), POINTER                  :: wf_history
     170              :       TYPE(qs_environment_type), POINTER                 :: qs_env
     171              :       REAL(KIND=dp), INTENT(in), OPTIONAL                :: dt
     172              : 
     173              :       CHARACTER(len=*), PARAMETER                        :: routineN = 'wfs_update'
     174              : 
     175              :       INTEGER                                            :: handle, ic, igroup, ik, ikp, img, &
     176              :                                                             indx_ft, ispin, kplocal, nc, nimg, &
     177              :                                                             nkp_all, nkp_grps, nspin_kp, nspins
     178              :       INTEGER, DIMENSION(2)                              :: kp_range
     179        25264 :       INTEGER, DIMENSION(:, :), POINTER                  :: kp_dist
     180        25264 :       INTEGER, DIMENSION(:, :, :), POINTER               :: cell_to_index
     181              :       LOGICAL                                            :: my_kpgrp
     182        25264 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: xkp
     183              :       TYPE(cell_type), POINTER                           :: cell
     184        25264 :       TYPE(copy_info_type), ALLOCATABLE, DIMENSION(:, :) :: info_ft
     185        25264 :       TYPE(cp_fm_pool_p_type), DIMENSION(:), POINTER     :: ao_ao_fm_pools, ao_mo_pools
     186              :       TYPE(cp_fm_struct_type), POINTER                   :: ao_ao_struct_ft
     187              :       TYPE(cp_fm_type)                                   :: fmdummy_ft, fmlocal_ft
     188              :       TYPE(cp_fm_type), POINTER                          :: mo_coeff
     189        25264 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_s, rho_ao
     190        25264 :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: matrix_s_kp, rho_ao_kp
     191              :       TYPE(dbcsr_type), POINTER                          :: cmat_ft, rmat_ft, tmpmat_ft
     192              :       TYPE(dft_control_type), POINTER                    :: dft_control
     193              :       TYPE(kpoint_env_type), POINTER                     :: kp
     194              :       TYPE(kpoint_type), POINTER                         :: kpoints
     195        25264 :       TYPE(mo_set_type), DIMENSION(:), POINTER           :: mos
     196              :       TYPE(mp_para_env_type), POINTER                    :: para_env_ft
     197              :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     198        25264 :          POINTER                                         :: sab_nl
     199        25264 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     200        25264 :       TYPE(pw_c1d_gs_type), DIMENSION(:), POINTER        :: rho_g
     201              :       TYPE(pw_env_type), POINTER                         :: pw_env
     202              :       TYPE(pw_pool_type), POINTER                        :: auxbas_pw_pool
     203        25264 :       TYPE(pw_r3d_rs_type), DIMENSION(:), POINTER        :: rho_r
     204              :       TYPE(qs_matrix_pools_type), POINTER                :: mpools_kp
     205              :       TYPE(qs_rho_type), POINTER                         :: rho
     206              :       TYPE(qs_scf_env_type), POINTER                     :: scf_env
     207              : 
     208        25264 :       CALL timeset(routineN, handle)
     209              : 
     210        25264 :       NULLIFY (pw_env, auxbas_pw_pool, ao_mo_pools, ao_ao_fm_pools, dft_control, mos, mo_coeff, &
     211        25264 :                rho, rho_r, rho_g, rho_ao, matrix_s, matrix_s_kp, kpoints, kp, cell, &
     212        25264 :                particle_set, kp_dist, cell_to_index, xkp, sab_nl, scf_env, mpools_kp, para_env_ft, &
     213        25264 :                rmat_ft, cmat_ft, tmpmat_ft, ao_ao_struct_ft)
     214              :       CALL get_qs_env(qs_env, pw_env=pw_env, &
     215        25264 :                       dft_control=dft_control, rho=rho, cell=cell, particle_set=particle_set)
     216        25264 :       CALL mpools_get(qs_env%mpools, ao_mo_fm_pools=ao_mo_pools)
     217        25264 :       CALL pw_env_get(pw_env, auxbas_pw_pool=auxbas_pw_pool)
     218              : 
     219        25264 :       CPASSERT(ASSOCIATED(wf_history))
     220        25264 :       CPASSERT(ASSOCIATED(dft_control))
     221        25264 :       IF (.NOT. ASSOCIATED(snapshot)) THEN
     222        14824 :          ALLOCATE (snapshot)
     223        14824 :          CALL wfs_create(snapshot)
     224              :       END IF
     225        25264 :       CPASSERT(wf_history%ref_count > 0)
     226              : 
     227        25264 :       nspins = dft_control%nspins
     228        25264 :       snapshot%dt = 1.0_dp
     229        25264 :       IF (PRESENT(dt)) snapshot%dt = dt
     230        25264 :       IF (wf_history%store_wf) THEN
     231        21822 :          CALL get_qs_env(qs_env, mos=mos)
     232        21822 :          IF (.NOT. ASSOCIATED(snapshot%wf)) THEN
     233              :             CALL fm_pools_create_fm_vect(ao_mo_pools, snapshot%wf, &
     234        12176 :                                          name="ws_snap-ws")
     235        12176 :             CPASSERT(nspins == SIZE(snapshot%wf))
     236              :          END IF
     237        46626 :          DO ispin = 1, nspins
     238        24804 :             CALL get_mo_set(mos(ispin), mo_coeff=mo_coeff)
     239        46626 :             CALL cp_fm_to_fm(mo_coeff, snapshot%wf(ispin))
     240              :          END DO
     241              :       ELSE
     242         3442 :          CALL fm_pools_give_back_fm_vect(ao_mo_pools, snapshot%wf)
     243              :       END IF
     244              : 
     245        25264 :       IF (wf_history%store_rho_r) THEN
     246            0 :          CALL qs_rho_get(rho, rho_r=rho_r)
     247            0 :          CPASSERT(ASSOCIATED(rho_r))
     248            0 :          IF (.NOT. ASSOCIATED(snapshot%rho_r)) THEN
     249            0 :             ALLOCATE (snapshot%rho_r(nspins))
     250            0 :             DO ispin = 1, nspins
     251            0 :                CALL auxbas_pw_pool%create_pw(snapshot%rho_r(ispin))
     252              :             END DO
     253              :          END IF
     254            0 :          DO ispin = 1, nspins
     255            0 :             CALL pw_copy(rho_r(ispin), snapshot%rho_r(ispin))
     256              :          END DO
     257        25264 :       ELSE IF (ASSOCIATED(snapshot%rho_r)) THEN
     258            0 :          DO ispin = 1, SIZE(snapshot%rho_r)
     259            0 :             CALL auxbas_pw_pool%give_back_pw(snapshot%rho_r(ispin))
     260              :          END DO
     261            0 :          DEALLOCATE (snapshot%rho_r)
     262              :       END IF
     263              : 
     264        25264 :       IF (wf_history%store_rho_g) THEN
     265            0 :          CALL qs_rho_get(rho, rho_g=rho_g)
     266            0 :          CPASSERT(ASSOCIATED(rho_g))
     267            0 :          IF (.NOT. ASSOCIATED(snapshot%rho_g)) THEN
     268            0 :             ALLOCATE (snapshot%rho_g(nspins))
     269            0 :             DO ispin = 1, nspins
     270            0 :                CALL auxbas_pw_pool%create_pw(snapshot%rho_g(ispin))
     271              :             END DO
     272              :          END IF
     273            0 :          DO ispin = 1, nspins
     274            0 :             CALL pw_copy(rho_g(ispin), snapshot%rho_g(ispin))
     275              :          END DO
     276        25264 :       ELSE IF (ASSOCIATED(snapshot%rho_g)) THEN
     277            0 :          DO ispin = 1, SIZE(snapshot%rho_g)
     278            0 :             CALL auxbas_pw_pool%give_back_pw(snapshot%rho_g(ispin))
     279              :          END DO
     280            0 :          DEALLOCATE (snapshot%rho_g)
     281              :       END IF
     282              : 
     283        25264 :       IF (ASSOCIATED(snapshot%rho_ao)) THEN ! the sparsity might be different
     284              :          ! (future struct:check)
     285          262 :          CALL dbcsr_deallocate_matrix_set(snapshot%rho_ao)
     286              :       END IF
     287        25264 :       IF (wf_history%store_rho_ao) THEN
     288          326 :          CALL qs_rho_get(rho, rho_ao=rho_ao)
     289          326 :          CPASSERT(ASSOCIATED(rho_ao))
     290              : 
     291          326 :          CALL dbcsr_allocate_matrix_set(snapshot%rho_ao, nspins)
     292          812 :          DO ispin = 1, nspins
     293          486 :             ALLOCATE (snapshot%rho_ao(ispin)%matrix)
     294          812 :             CALL dbcsr_copy(snapshot%rho_ao(ispin)%matrix, rho_ao(ispin)%matrix)
     295              :          END DO
     296              :       END IF
     297              : 
     298        25264 :       IF (ASSOCIATED(snapshot%rho_ao_kp)) THEN ! the sparsity might be different
     299              :          ! (future struct:check)
     300          220 :          CALL dbcsr_deallocate_matrix_set(snapshot%rho_ao_kp)
     301              :       END IF
     302        25264 :       IF (wf_history%store_rho_ao_kp) THEN
     303          232 :          CALL qs_rho_get(rho, rho_ao_kp=rho_ao_kp)
     304          232 :          CPASSERT(ASSOCIATED(rho_ao_kp))
     305              : 
     306          232 :          nimg = dft_control%nimages
     307          232 :          CALL dbcsr_allocate_matrix_set(snapshot%rho_ao_kp, nspins, nimg)
     308          554 :          DO ispin = 1, nspins
     309        34092 :             DO img = 1, nimg
     310        33538 :                ALLOCATE (snapshot%rho_ao_kp(ispin, img)%matrix)
     311              :                CALL dbcsr_copy(snapshot%rho_ao_kp(ispin, img)%matrix, &
     312        33860 :                                rho_ao_kp(ispin, img)%matrix)
     313              :             END DO
     314              :          END DO
     315              :       END IF
     316              : 
     317        25264 :       IF (ASSOCIATED(snapshot%overlap)) THEN ! the sparsity might be different
     318              :          ! (future struct:check)
     319         7038 :          CALL dbcsr_deallocate_matrix(snapshot%overlap)
     320              :       END IF
     321        25264 :       IF (wf_history%store_overlap) THEN
     322        18180 :          CALL get_qs_env(qs_env, matrix_s=matrix_s)
     323        18180 :          CPASSERT(ASSOCIATED(matrix_s))
     324        18180 :          CPASSERT(ASSOCIATED(matrix_s(1)%matrix))
     325        18180 :          ALLOCATE (snapshot%overlap)
     326        18180 :          CALL dbcsr_copy(snapshot%overlap, matrix_s(1)%matrix)
     327              :       END IF
     328              : 
     329        25264 :       CALL get_qs_env(qs_env, kpoints=kpoints)
     330        25264 :       IF (ASSOCIATED(kpoints)) THEN
     331        25264 :          IF (ASSOCIATED(kpoints%kp_env)) THEN
     332              :             ! --- k-point WFN snapshot: store complex MO coefficients per local k-point ---
     333         3100 :             IF (wf_history%store_wf_kp) THEN
     334         2868 :                CALL get_kpoint_info(kpoints, kp_range=kp_range)
     335         2868 :                kplocal = kp_range(2) - kp_range(1) + 1
     336         2868 :                nspin_kp = SIZE(kpoints%kp_env(1)%kpoint_env%mos, 2)
     337         2868 :                nc = SIZE(kpoints%kp_env(1)%kpoint_env%mos, 1) ! 2=complex, 1=real
     338              : 
     339         2868 :                CALL wfi_store_kp_pbc_shift(snapshot, cell, particle_set)
     340              : 
     341         2868 :                IF (ASSOCIATED(snapshot%wf_kp)) THEN
     342          842 :                   DO ikp = 1, SIZE(snapshot%wf_kp, 1)
     343         1926 :                      DO ic = 1, SIZE(snapshot%wf_kp, 2)
     344         2710 :                         DO ispin = 1, SIZE(snapshot%wf_kp, 3)
     345         2168 :                            CALL cp_fm_release(snapshot%wf_kp(ikp, ic, ispin))
     346              :                         END DO
     347              :                      END DO
     348              :                   END DO
     349          300 :                   DEALLOCATE (snapshot%wf_kp)
     350              :                END IF
     351              : 
     352        35428 :                ALLOCATE (snapshot%wf_kp(kplocal, nc, nspin_kp))
     353         8242 :                DO ikp = 1, kplocal
     354         5374 :                   kp => kpoints%kp_env(ikp)%kpoint_env
     355        14288 :                   DO ispin = 1, nspin_kp
     356        23510 :                      DO ic = 1, nc
     357        12090 :                         CALL get_mo_set(kp%mos(ic, ispin), mo_coeff=mo_coeff)
     358              :                         CALL cp_fm_create(snapshot%wf_kp(ikp, ic, ispin), &
     359              :                                           mo_coeff%matrix_struct, &
     360        12090 :                                           name="wfkp_snap")
     361        18136 :                         CALL cp_fm_to_fm(mo_coeff, snapshot%wf_kp(ikp, ic, ispin))
     362              :                      END DO
     363              :                   END DO
     364              :                END DO
     365              :             END IF
     366              : 
     367              :             ! --- k-point overlap snapshot: Fourier-transform S(R)→S(k) NOW and store as cfm ---
     368              :             ! This is critical: we MUST transform at snapshot time using the CURRENT neighbor
     369              :             ! list. Storing S(R) and re-transforming later would use a stale neighbor list,
     370              :             ! producing wrong S(k) when the neighbor list changes during MD.
     371         3100 :             IF (wf_history%store_overlap_kp) THEN
     372         2838 :                CALL get_qs_env(qs_env, matrix_s_kp=matrix_s_kp, scf_env=scf_env)
     373              :                CALL get_kpoint_info(kpoints, nkp=nkp_all, xkp=xkp, kp_range=kp_range, &
     374              :                                     nkp_groups=nkp_grps, kp_dist=kp_dist, &
     375         2838 :                                     sab_nl=sab_nl, cell_to_index=cell_to_index)
     376         2838 :                kplocal = kp_range(2) - kp_range(1) + 1
     377         2838 :                para_env_ft => kpoints%blacs_env_all%para_env
     378              : 
     379              :                ! Allocate dbcsr work matrices for FT (same pattern as do_general_diag_kp)
     380         2838 :                ALLOCATE (rmat_ft, cmat_ft, tmpmat_ft)
     381              :                CALL dbcsr_create(rmat_ft, template=matrix_s_kp(1, 1)%matrix, &
     382         2838 :                                  matrix_type=dbcsr_type_symmetric)
     383              :                CALL dbcsr_create(cmat_ft, template=matrix_s_kp(1, 1)%matrix, &
     384         2838 :                                  matrix_type=dbcsr_type_antisymmetric)
     385              :                CALL dbcsr_create(tmpmat_ft, template=matrix_s_kp(1, 1)%matrix, &
     386         2838 :                                  matrix_type=dbcsr_type_no_symmetry)
     387         2838 :                CALL cp_dbcsr_alloc_block_from_nbl(rmat_ft, sab_nl)
     388         2838 :                CALL cp_dbcsr_alloc_block_from_nbl(cmat_ft, sab_nl)
     389              : 
     390              :                ! Get kp-subgroup FM from pool
     391         2838 :                CALL get_kpoint_info(kpoints, mpools=mpools_kp)
     392         2838 :                CALL mpools_get(mpools_kp, ao_ao_fm_pools=ao_ao_fm_pools)
     393         2838 :                CALL fm_pool_create_fm(ao_ao_fm_pools(1)%pool, fmlocal_ft)
     394              : 
     395              :                ! Release old snapshot if present
     396         2838 :                IF (ASSOCIATED(snapshot%overlap_cfm_kp)) THEN
     397          822 :                   DO ikp = 1, SIZE(snapshot%overlap_cfm_kp)
     398          822 :                      CALL cp_cfm_release(snapshot%overlap_cfm_kp(ikp))
     399              :                   END DO
     400          296 :                   DEALLOCATE (snapshot%overlap_cfm_kp)
     401              :                END IF
     402        13832 :                ALLOCATE (snapshot%overlap_cfm_kp(kplocal))
     403              : 
     404         2838 :                CALL cp_fm_get_info(fmlocal_ft, matrix_struct=ao_ao_struct_ft)
     405              : 
     406              :                ! Communication info array
     407        55258 :                ALLOCATE (info_ft(kplocal*nkp_grps, 2))
     408              : 
     409              :                ! Phase A: Start async FT + redistribute for each k-point
     410         2838 :                indx_ft = 0
     411         8156 :                DO ikp = 1, kplocal
     412        17338 :                   DO igroup = 1, nkp_grps
     413         9182 :                      ik = kp_dist(1, igroup) + ikp - 1
     414         9182 :                      my_kpgrp = (ik >= kp_range(1) .AND. ik <= kp_range(2))
     415         9182 :                      indx_ft = indx_ft + 1
     416              : 
     417         9182 :                      CALL dbcsr_set(rmat_ft, 0.0_dp)
     418         9182 :                      CALL dbcsr_set(cmat_ft, 0.0_dp)
     419              :                      CALL rskp_transform(rmatrix=rmat_ft, cmatrix=cmat_ft, rsmat=matrix_s_kp, &
     420              :                                          ispin=1, xkp=xkp(1:3, ik), &
     421         9182 :                                          cell_to_index=cell_to_index, sab_nl=sab_nl)
     422         9182 :                      CALL dbcsr_desymmetrize(rmat_ft, tmpmat_ft)
     423         9182 :                      CALL copy_dbcsr_to_fm(tmpmat_ft, scf_env%scf_work1(1))
     424         9182 :                      CALL dbcsr_desymmetrize(cmat_ft, tmpmat_ft)
     425         9182 :                      CALL copy_dbcsr_to_fm(tmpmat_ft, scf_env%scf_work1(2))
     426              : 
     427        14500 :                      IF (my_kpgrp) THEN
     428              :                         CALL cp_fm_start_copy_general(scf_env%scf_work1(1), fmlocal_ft, &
     429         5318 :                                                       para_env_ft, info_ft(indx_ft, 1))
     430              :                         CALL cp_fm_start_copy_general(scf_env%scf_work1(2), fmlocal_ft, &
     431         5318 :                                                       para_env_ft, info_ft(indx_ft, 2))
     432              :                      ELSE
     433              :                         CALL cp_fm_start_copy_general(scf_env%scf_work1(1), fmdummy_ft, &
     434         3864 :                                                       para_env_ft, info_ft(indx_ft, 1))
     435              :                         CALL cp_fm_start_copy_general(scf_env%scf_work1(2), fmdummy_ft, &
     436         3864 :                                                       para_env_ft, info_ft(indx_ft, 2))
     437              :                      END IF
     438              :                   END DO
     439              :                END DO
     440              : 
     441              :                ! Phase B: Finish communication and assemble S(k) as cfm
     442              :                indx_ft = 0
     443         8156 :                DO ikp = 1, kplocal
     444         5318 :                   CALL cp_cfm_create(snapshot%overlap_cfm_kp(ikp), ao_ao_struct_ft)
     445         5318 :                   CALL cp_cfm_set_all(snapshot%overlap_cfm_kp(ikp), z_zero)
     446        17338 :                   DO igroup = 1, nkp_grps
     447         9182 :                      ik = kp_dist(1, igroup) + ikp - 1
     448         9182 :                      my_kpgrp = (ik >= kp_range(1) .AND. ik <= kp_range(2))
     449         3864 :                      indx_ft = indx_ft + 1
     450         5318 :                      IF (my_kpgrp) THEN
     451         5318 :                         CALL cp_fm_finish_copy_general(fmlocal_ft, info_ft(indx_ft, 1))
     452              :                         CALL cp_cfm_scale_and_add_fm(z_zero, snapshot%overlap_cfm_kp(ikp), &
     453         5318 :                                                      z_one, fmlocal_ft)
     454         5318 :                         CALL cp_fm_finish_copy_general(fmlocal_ft, info_ft(indx_ft, 2))
     455              :                         CALL cp_cfm_scale_and_add_fm(z_one, snapshot%overlap_cfm_kp(ikp), &
     456         5318 :                                                      gaussi, fmlocal_ft)
     457              :                      END IF
     458              :                   END DO
     459              :                END DO
     460              : 
     461              :                ! Cleanup
     462        12020 :                DO indx_ft = 1, kplocal*nkp_grps
     463         9182 :                   CALL cp_fm_cleanup_copy_general(info_ft(indx_ft, 1))
     464        12020 :                   CALL cp_fm_cleanup_copy_general(info_ft(indx_ft, 2))
     465              :                END DO
     466        24040 :                DEALLOCATE (info_ft)
     467         2838 :                CALL fm_pool_give_back_fm(ao_ao_fm_pools(1)%pool, fmlocal_ft)
     468         2838 :                CALL dbcsr_deallocate_matrix(rmat_ft)
     469         2838 :                CALL dbcsr_deallocate_matrix(cmat_ft)
     470         5676 :                CALL dbcsr_deallocate_matrix(tmpmat_ft)
     471              :             END IF
     472              :          END IF
     473              :       END IF
     474              : 
     475              :       IF (wf_history%store_frozen_density) THEN
     476              :          ! do nothing
     477              :          ! CALL deallocate_matrix_set(snapshot%rho_frozen%rho_ao)
     478              :       END IF
     479              : 
     480        25264 :       CALL timestop(handle)
     481              : 
     482        25264 :    END SUBROUTINE wfs_update
     483              : 
     484              : ! **************************************************************************************************
     485              : !> \brief ...
     486              : !> \param wf_history ...
     487              : !> \param interpolation_method_nr the tag of the method used for
     488              : !>        the extrapolation of the initial density for the next md step
     489              : !>        (see qs_wf_history_types:wfi_*_method_nr)
     490              : !> \param extrapolation_order ...
     491              : !> \param has_unit_metric ...
     492              : !> \par History
     493              : !>      02.2003 created [fawzi]
     494              : !> \author fawzi
     495              : ! **************************************************************************************************
     496         8806 :    SUBROUTINE wfi_create(wf_history, interpolation_method_nr, extrapolation_order, &
     497              :                          has_unit_metric)
     498              :       TYPE(qs_wf_history_type), POINTER                  :: wf_history
     499              :       INTEGER, INTENT(in)                                :: interpolation_method_nr, &
     500              :                                                             extrapolation_order
     501              :       LOGICAL, INTENT(IN)                                :: has_unit_metric
     502              : 
     503              :       CHARACTER(len=*), PARAMETER                        :: routineN = 'wfi_create'
     504              : 
     505              :       INTEGER                                            :: handle, i
     506              : 
     507         8806 :       CALL timeset(routineN, handle)
     508              : 
     509         8806 :       ALLOCATE (wf_history)
     510         8806 :       wf_history%ref_count = 1
     511         8806 :       wf_history%memory_depth = 0
     512         8806 :       wf_history%snapshot_count = 0
     513         8806 :       wf_history%last_state_index = 1
     514              :       wf_history%store_wf = .FALSE.
     515              :       wf_history%store_rho_r = .FALSE.
     516              :       wf_history%store_rho_g = .FALSE.
     517              :       wf_history%store_rho_ao = .FALSE.
     518              :       wf_history%store_rho_ao_kp = .FALSE.
     519              :       wf_history%store_overlap = .FALSE.
     520              :       wf_history%store_wf_kp = .FALSE.
     521              :       wf_history%store_overlap_kp = .FALSE.
     522              :       wf_history%store_frozen_density = .FALSE.
     523              :       NULLIFY (wf_history%past_states)
     524              : 
     525         8806 :       wf_history%interpolation_method_nr = interpolation_method_nr
     526              : 
     527              :       SELECT CASE (wf_history%interpolation_method_nr)
     528              :       CASE (wfi_use_guess_method_nr)
     529              :          wf_history%memory_depth = 0
     530              :       CASE (wfi_use_prev_wf_method_nr)
     531           64 :          wf_history%memory_depth = 0
     532              :       CASE (wfi_use_prev_p_method_nr)
     533           64 :          wf_history%memory_depth = 1
     534           64 :          wf_history%store_rho_ao = .TRUE.
     535              :       CASE (wfi_linear_wf_method_nr)
     536            4 :          wf_history%memory_depth = 2
     537            4 :          wf_history%store_wf = .TRUE.
     538              :       CASE (wfi_linear_p_method_nr)
     539            6 :          wf_history%memory_depth = 2
     540            6 :          wf_history%store_rho_ao = .TRUE.
     541              :       CASE (wfi_linear_ps_method_nr)
     542            6 :          wf_history%memory_depth = 2
     543            6 :          wf_history%store_wf = .TRUE.
     544            6 :          IF (.NOT. has_unit_metric) wf_history%store_overlap = .TRUE.
     545              :       CASE (wfi_ps_method_nr)
     546          345 :          CALL cite_reference(VandeVondele2005a)
     547          345 :          wf_history%memory_depth = extrapolation_order + 1
     548          345 :          wf_history%store_wf = .TRUE.
     549          345 :          wf_history%store_wf_kp = .TRUE.
     550          345 :          IF (.NOT. has_unit_metric) THEN
     551          341 :             wf_history%store_overlap = .TRUE.
     552          341 :             wf_history%store_overlap_kp = .TRUE.
     553              :          END IF
     554              :       CASE (wfi_frozen_method_nr)
     555            4 :          wf_history%memory_depth = 1
     556            4 :          wf_history%store_frozen_density = .TRUE.
     557              :       CASE (wfi_aspc_nr)
     558         8011 :          wf_history%memory_depth = extrapolation_order + 2
     559         8011 :          wf_history%store_wf = .TRUE.
     560         8011 :          wf_history%store_wf_kp = .TRUE.
     561         8011 :          IF (.NOT. has_unit_metric) THEN
     562         7029 :             wf_history%store_overlap = .TRUE.
     563         7029 :             wf_history%store_overlap_kp = .TRUE.
     564              :          END IF
     565              :       CASE (wfi_gext_proj_nr)
     566           22 :          wf_history%memory_depth = extrapolation_order
     567           22 :          wf_history%store_wf = .TRUE.
     568           22 :          wf_history%store_wf_kp = .TRUE.
     569           22 :          wf_history%store_overlap = .TRUE.
     570           22 :          wf_history%store_overlap_kp = .TRUE.
     571              :       CASE (wfi_gext_proj_qtr_nr)
     572            6 :          wf_history%memory_depth = extrapolation_order
     573            6 :          wf_history%store_wf = .TRUE.
     574            6 :          wf_history%store_wf_kp = .TRUE.
     575            6 :          wf_history%store_overlap = .TRUE.
     576            6 :          wf_history%store_overlap_kp = .TRUE.
     577              :       CASE default
     578              :          CALL cp_abort(__LOCATION__, &
     579              :                        "Unknown interpolation method: "// &
     580         8806 :                        TRIM(ADJUSTL(cp_to_string(interpolation_method_nr))))
     581              :       END SELECT
     582        67393 :       ALLOCATE (wf_history%past_states(wf_history%memory_depth))
     583              : 
     584        50119 :       DO i = 1, SIZE(wf_history%past_states)
     585        50119 :          NULLIFY (wf_history%past_states(i)%snapshot)
     586              :       END DO
     587              : 
     588         8806 :       CALL timestop(handle)
     589         8806 :    END SUBROUTINE wfi_create
     590              : 
     591              : ! **************************************************************************************************
     592              : !> \brief Adapts wf_history storage flags for k-point calculations.
     593              : !>        For ASPC, switches from Gamma WFN storage to k-point WFN storage.
     594              : !>        Other WFN-based methods remain blocked.
     595              : !> \param wf_history ...
     596              : !> \par History
     597              : !>      06.2015 created [jhu]
     598              : !> \author jhu
     599              : ! **************************************************************************************************
     600          520 :    SUBROUTINE wfi_create_for_kp(wf_history)
     601              :       TYPE(qs_wf_history_type), POINTER                  :: wf_history
     602              : 
     603              :       INTEGER                                            :: i
     604              : 
     605          520 :       CPASSERT(ASSOCIATED(wf_history))
     606          520 :       IF (wf_history%store_rho_ao) THEN
     607           10 :          wf_history%store_rho_ao_kp = .TRUE.
     608           10 :          wf_history%store_rho_ao = .FALSE.
     609              :       END IF
     610              :       ! KP-compatible WFN history: store complex k-point MOs in snapshots.
     611              :       ! USE_PREV_WF needs one snapshot as well, since the PBC image convention
     612              :       ! of the saved WFN has to be known before reorthogonalization.
     613          520 :       IF (wf_history%interpolation_method_nr == wfi_use_prev_wf_method_nr) THEN
     614           26 :          wf_history%memory_depth = 1
     615           26 :          wf_history%store_wf_kp = .TRUE.
     616           26 :          wf_history%store_wf = .FALSE.
     617           26 :          wf_history%store_overlap = .FALSE.
     618           26 :          IF (ASSOCIATED(wf_history%past_states)) DEALLOCATE (wf_history%past_states)
     619          104 :          ALLOCATE (wf_history%past_states(wf_history%memory_depth))
     620           52 :          DO i = 1, SIZE(wf_history%past_states)
     621           52 :             NULLIFY (wf_history%past_states(i)%snapshot)
     622              :          END DO
     623          494 :       ELSE IF (wf_history%store_wf_kp) THEN
     624          348 :          wf_history%store_wf = .FALSE.
     625          348 :          wf_history%store_overlap = .FALSE.
     626              :          ! store_wf_kp and store_overlap_kp remain TRUE
     627              :       ELSE
     628              :          ! Linear methods (except LINEAR_P) are still blocked
     629          146 :          IF (wf_history%store_wf .OR. wf_history%store_overlap) THEN
     630            0 :             CPABORT("Linear WFN-based extrapolation methods not implemented for k-points.")
     631              :          END IF
     632              :       END IF
     633          520 :       IF (wf_history%store_frozen_density) THEN
     634            0 :          CPABORT("Frozen density initialization method not possible for kpoints.")
     635              :       END IF
     636              : 
     637          520 :    END SUBROUTINE wfi_create_for_kp
     638              : 
     639              : ! **************************************************************************************************
     640              : !> \brief returns a string describing the interpolation method
     641              : !> \param method_nr ...
     642              : !> \return ...
     643              : !> \par History
     644              : !>      02.2003 created [fawzi]
     645              : !> \author fawzi
     646              : ! **************************************************************************************************
     647        13385 :    FUNCTION wfi_get_method_label(method_nr) RESULT(res)
     648              :       INTEGER, INTENT(in)                                :: method_nr
     649              :       CHARACTER(len=30)                                  :: res
     650              : 
     651        13385 :       res = "unknown"
     652        13623 :       SELECT CASE (method_nr)
     653              :       CASE (wfi_use_prev_p_method_nr)
     654          238 :          res = "previous_p"
     655              :       CASE (wfi_use_prev_wf_method_nr)
     656          237 :          res = "previous_wf"
     657              :       CASE (wfi_use_guess_method_nr)
     658         5059 :          res = "initial_guess"
     659              :       CASE (wfi_linear_wf_method_nr)
     660            2 :          res = "mo linear"
     661              :       CASE (wfi_linear_p_method_nr)
     662            3 :          res = "P linear"
     663              :       CASE (wfi_linear_ps_method_nr)
     664            6 :          res = "PS linear"
     665              :       CASE (wfi_ps_method_nr)
     666          188 :          res = "PS Nth order"
     667              :       CASE (wfi_frozen_method_nr)
     668            4 :          res = "frozen density approximation"
     669              :       CASE (wfi_aspc_nr)
     670         7564 :          res = "ASPC"
     671              :       CASE (wfi_gext_proj_nr)
     672           70 :          res = "GEXT_PROJ"
     673              :       CASE (wfi_gext_proj_qtr_nr)
     674           14 :          res = "GEXT_PROJ_QTR"
     675              :       CASE default
     676              :          CALL cp_abort(__LOCATION__, &
     677              :                        "Unknown interpolation method: "// &
     678        13385 :                        TRIM(ADJUSTL(cp_to_string(method_nr))))
     679              :       END SELECT
     680        13385 :    END FUNCTION wfi_get_method_label
     681              : 
     682              : ! **************************************************************************************************
     683              : !> \brief calculates the new starting state for the scf for the next
     684              : !>      wf optimization
     685              : !> \param wf_history the previous history needed to extrapolate
     686              : !> \param qs_env the qs env with the latest result, and that will contain
     687              : !>        the new starting state
     688              : !> \param dt the time at which to extrapolate (wrt. to the last snapshot)
     689              : !> \param extrapolation_method_nr returns the extrapolation method used
     690              : !> \param orthogonal_wf ...
     691              : !> \par History
     692              : !>      02.2003 created [fawzi]
     693              : !>      11.2003 Joost VandeVondele : Implemented Nth order PS extrapolation
     694              : !>      04.2026 Michele Nottoli : Added GEXT_PROJ and GEXT_PROJ_QTR extrapolations
     695              : !> \author fawzi
     696              : ! **************************************************************************************************
     697        26455 :    SUBROUTINE wfi_extrapolate(wf_history, qs_env, dt, extrapolation_method_nr, &
     698              :                               orthogonal_wf)
     699              :       TYPE(qs_wf_history_type), POINTER                  :: wf_history
     700              :       TYPE(qs_environment_type), POINTER                 :: qs_env
     701              :       REAL(KIND=dp), INTENT(IN)                          :: dt
     702              :       INTEGER, INTENT(OUT), OPTIONAL                     :: extrapolation_method_nr
     703              :       LOGICAL, INTENT(OUT), OPTIONAL                     :: orthogonal_wf
     704              : 
     705              :       CHARACTER(len=*), PARAMETER                        :: routineN = 'wfi_extrapolate'
     706              : 
     707              :       INTEGER                                            :: actual_extrapolation_method_nr, handle, &
     708              :                                                             i, img, io_unit, ispin, k, n, nmo, &
     709              :                                                             nvec, print_level
     710              :       LOGICAL                                            :: do_kpoints, my_orthogonal_wf, use_overlap
     711              :       REAL(KIND=dp)                                      :: alpha, t0, t1, t2
     712        26455 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: coeffs
     713        26455 :       TYPE(cp_fm_pool_p_type), DIMENSION(:), POINTER     :: ao_mo_fm_pools
     714              :       TYPE(cp_fm_struct_type), POINTER                   :: matrix_struct, matrix_struct_new
     715              :       TYPE(cp_fm_type)                                   :: csc, fm_tmp
     716              :       TYPE(cp_fm_type), POINTER                          :: mo_coeff
     717              :       TYPE(cp_logger_type), POINTER                      :: logger
     718        26455 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_s, rho_ao, rho_frozen_ao
     719        26455 :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: rho_ao_kp
     720        26455 :       TYPE(mo_set_type), DIMENSION(:), POINTER           :: mos
     721              :       TYPE(qs_rho_type), POINTER                         :: rho
     722              :       TYPE(qs_wf_snapshot_type), POINTER                 :: t0_state, t1_state
     723              : 
     724        26455 :       NULLIFY (mos, ao_mo_fm_pools, t0_state, t1_state, mo_coeff, &
     725        26455 :                rho, rho_ao, rho_frozen_ao)
     726              : 
     727        26455 :       use_overlap = wf_history%store_overlap
     728              : 
     729        26455 :       CALL timeset(routineN, handle)
     730        26455 :       logger => cp_get_default_logger()
     731        26455 :       print_level = logger%iter_info%print_level
     732              :       io_unit = cp_print_key_unit_nr(logger, qs_env%input, "DFT%SCF%PRINT%PROGRAM_RUN_INFO", &
     733        26455 :                                      extension=".scfLog")
     734              : 
     735        26455 :       CPASSERT(ASSOCIATED(wf_history))
     736        26455 :       CPASSERT(wf_history%ref_count > 0)
     737        26455 :       CPASSERT(ASSOCIATED(qs_env))
     738        26455 :       CALL get_qs_env(qs_env, mos=mos, rho=rho, do_kpoints=do_kpoints)
     739        26455 :       CALL mpools_get(qs_env%mpools, ao_mo_fm_pools=ao_mo_fm_pools)
     740              :       ! chooses the method for this extrapolation
     741        26455 :       IF (wf_history%snapshot_count < 1) THEN
     742              :          actual_extrapolation_method_nr = wfi_use_guess_method_nr
     743              :       ELSE
     744        16518 :          actual_extrapolation_method_nr = wf_history%interpolation_method_nr
     745              :       END IF
     746              : 
     747            8 :       SELECT CASE (actual_extrapolation_method_nr)
     748              :       CASE (wfi_linear_wf_method_nr)
     749            8 :          IF (wf_history%snapshot_count < 2) THEN
     750            4 :             actual_extrapolation_method_nr = wfi_use_prev_wf_method_nr
     751              :          END IF
     752              :       CASE (wfi_linear_p_method_nr)
     753           12 :          IF (wf_history%snapshot_count < 2) THEN
     754            6 :             actual_extrapolation_method_nr = wfi_use_prev_wf_method_nr
     755              :          END IF
     756              :       CASE (wfi_linear_ps_method_nr)
     757        16518 :          IF (wf_history%snapshot_count < 2) THEN
     758            6 :             actual_extrapolation_method_nr = wfi_use_prev_wf_method_nr
     759              :          END IF
     760              :       END SELECT
     761              : 
     762        26455 :       IF (PRESENT(extrapolation_method_nr)) THEN
     763        26455 :          extrapolation_method_nr = actual_extrapolation_method_nr
     764              :       END IF
     765        26455 :       my_orthogonal_wf = .FALSE.
     766              : 
     767            8 :       SELECT CASE (actual_extrapolation_method_nr)
     768              :       CASE (wfi_frozen_method_nr)
     769            8 :          CPASSERT(.NOT. do_kpoints)
     770            8 :          t0_state => wfi_get_snapshot(wf_history, wf_index=1)
     771            8 :          CPASSERT(ASSOCIATED(t0_state%rho_frozen))
     772              : 
     773            8 :          nvec = MIN(wf_history%memory_depth, wf_history%snapshot_count)
     774            8 :          CALL wfi_set_history_variables(qs_env=qs_env, nvec=nvec)
     775              : 
     776            8 :          CALL qs_rho_get(t0_state%rho_frozen, rho_ao=rho_frozen_ao)
     777            8 :          CALL qs_rho_get(rho, rho_ao=rho_ao)
     778           16 :          DO ispin = 1, SIZE(rho_frozen_ao)
     779              :             CALL dbcsr_copy(rho_ao(ispin)%matrix, &
     780              :                             rho_frozen_ao(ispin)%matrix, &
     781           16 :                             keep_sparsity=.TRUE.)
     782              :          END DO
     783              :          !FM updating rho_ao directly with t0_state%rho_ao would have the
     784              :          !FM wrong matrix structure
     785            8 :          CALL qs_rho_update_rho(rho, qs_env=qs_env)
     786            8 :          CALL qs_ks_did_change(qs_env%ks_env, rho_changed=.TRUE.)
     787              : 
     788            8 :          my_orthogonal_wf = .FALSE.
     789              :       CASE (wfi_use_prev_p_method_nr)
     790          476 :          t0_state => wfi_get_snapshot(wf_history, wf_index=1)
     791          476 :          nvec = MIN(wf_history%memory_depth, wf_history%snapshot_count)
     792          476 :          CALL wfi_set_history_variables(qs_env=qs_env, nvec=nvec)
     793          476 :          IF (do_kpoints) THEN
     794          218 :             CPASSERT(ASSOCIATED(t0_state%rho_ao_kp))
     795          218 :             CALL qs_rho_get(rho, rho_ao_kp=rho_ao_kp)
     796          524 :             DO ispin = 1, SIZE(t0_state%rho_ao_kp, 1)
     797        31248 :                DO img = 1, SIZE(t0_state%rho_ao_kp, 2)
     798        31030 :                   IF (img > SIZE(rho_ao_kp, 2)) THEN
     799           18 :                      CPWARN("Change in cell neighborlist: might affect quality of initial guess")
     800              :                   ELSE
     801              :                      CALL dbcsr_copy(rho_ao_kp(ispin, img)%matrix, &
     802              :                                      t0_state%rho_ao_kp(ispin, img)%matrix, &
     803        30706 :                                      keep_sparsity=.TRUE.)
     804              :                   END IF
     805              :                END DO
     806              :             END DO
     807              :          ELSE
     808          258 :             CPASSERT(ASSOCIATED(t0_state%rho_ao))
     809          258 :             CALL qs_rho_get(rho, rho_ao=rho_ao)
     810          646 :             DO ispin = 1, SIZE(t0_state%rho_ao)
     811              :                CALL dbcsr_copy(rho_ao(ispin)%matrix, &
     812              :                                t0_state%rho_ao(ispin)%matrix, &
     813          646 :                                keep_sparsity=.TRUE.)
     814              :             END DO
     815              :          END IF
     816              :          !FM updating rho_ao directly with t0_state%rho_ao would have the
     817              :          !FM wrong matrix structure
     818          476 :          CALL qs_rho_update_rho(rho, qs_env=qs_env)
     819          476 :          CALL qs_ks_did_change(qs_env%ks_env, rho_changed=.TRUE.)
     820              :       CASE (wfi_use_prev_wf_method_nr)
     821          474 :          my_orthogonal_wf = .TRUE.
     822          474 :          nvec = MIN(wf_history%memory_depth, wf_history%snapshot_count)
     823          474 :          CALL wfi_set_history_variables(qs_env=qs_env, nvec=nvec)
     824              : 
     825          474 :          IF (do_kpoints) THEN
     826            6 :             CALL wfi_use_prev_wf_kp(qs_env, io_unit, print_level)
     827              :          ELSE
     828          468 :             CALL qs_rho_get(rho, rho_ao=rho_ao)
     829          988 :             DO ispin = 1, SIZE(mos)
     830          520 :                CALL get_mo_set(mos(ispin), mo_coeff=mo_coeff, nmo=nmo)
     831          520 :                CALL reorthogonalize_vectors(qs_env, v_matrix=mo_coeff, n_col=nmo)
     832         1508 :                CALL calculate_density_matrix(mo_set=mos(ispin), density_matrix=rho_ao(ispin)%matrix)
     833              :             END DO
     834          468 :             CALL qs_rho_update_rho(rho, qs_env=qs_env)
     835          468 :             CALL qs_ks_did_change(qs_env%ks_env, rho_changed=.TRUE.)
     836              :          END IF
     837              : 
     838              :       CASE (wfi_use_guess_method_nr)
     839              :          !FM more clean to do it here, but it
     840              :          !FM might need to read a file (restart) and thus globenv
     841              :          !FM I do not want globenv here, thus done by the caller
     842              :          !FM (btw. it also needs the eigensolver, and unless you relocate it
     843              :          !FM gives circular dependencies)
     844        10083 :          nvec = MIN(wf_history%memory_depth, wf_history%snapshot_count)
     845        10083 :          CALL wfi_set_history_variables(qs_env=qs_env, nvec=nvec)
     846              :       CASE (wfi_linear_wf_method_nr)
     847            4 :          CPASSERT(.NOT. do_kpoints)
     848            4 :          t0_state => wfi_get_snapshot(wf_history, wf_index=2)
     849            4 :          t1_state => wfi_get_snapshot(wf_history, wf_index=1)
     850            4 :          CPASSERT(ASSOCIATED(t0_state))
     851            4 :          CPASSERT(ASSOCIATED(t1_state))
     852            4 :          CPASSERT(ASSOCIATED(t0_state%wf))
     853            4 :          CPASSERT(ASSOCIATED(t1_state%wf))
     854            4 :          nvec = MIN(wf_history%memory_depth, wf_history%snapshot_count)
     855            4 :          CALL wfi_set_history_variables(qs_env=qs_env, nvec=nvec)
     856              : 
     857            4 :          my_orthogonal_wf = .TRUE.
     858            4 :          t0 = 0.0_dp
     859            4 :          t1 = t1_state%dt
     860            4 :          t2 = t1 + dt
     861            4 :          CALL qs_rho_get(rho, rho_ao=rho_ao)
     862            8 :          DO ispin = 1, SIZE(mos)
     863              :             CALL get_mo_set(mos(ispin), mo_coeff=mo_coeff, &
     864            4 :                             nmo=nmo)
     865              :             CALL cp_fm_scale_and_add(alpha=0.0_dp, &
     866              :                                      matrix_a=mo_coeff, &
     867              :                                      matrix_b=t1_state%wf(ispin), &
     868            4 :                                      beta=(t2 - t0)/(t1 - t0))
     869              :             ! this copy should be unnecessary
     870              :             CALL cp_fm_scale_and_add(alpha=1.0_dp, &
     871              :                                      matrix_a=mo_coeff, &
     872            4 :                                      beta=(t1 - t2)/(t1 - t0), matrix_b=t0_state%wf(ispin))
     873              :             CALL reorthogonalize_vectors(qs_env, &
     874              :                                          v_matrix=mo_coeff, &
     875            4 :                                          n_col=nmo)
     876              :             CALL calculate_density_matrix(mo_set=mos(ispin), &
     877           12 :                                           density_matrix=rho_ao(ispin)%matrix)
     878              :          END DO
     879            4 :          CALL qs_rho_update_rho(rho, qs_env=qs_env)
     880              : 
     881              :          CALL qs_ks_did_change(qs_env%ks_env, &
     882            4 :                                rho_changed=.TRUE.)
     883              :       CASE (wfi_linear_p_method_nr)
     884            6 :          t0_state => wfi_get_snapshot(wf_history, wf_index=2)
     885            6 :          t1_state => wfi_get_snapshot(wf_history, wf_index=1)
     886            6 :          CPASSERT(ASSOCIATED(t0_state))
     887            6 :          CPASSERT(ASSOCIATED(t1_state))
     888            6 :          IF (do_kpoints) THEN
     889            2 :             CPASSERT(ASSOCIATED(t0_state%rho_ao_kp))
     890            2 :             CPASSERT(ASSOCIATED(t1_state%rho_ao_kp))
     891              :          ELSE
     892            4 :             CPASSERT(ASSOCIATED(t0_state%rho_ao))
     893            4 :             CPASSERT(ASSOCIATED(t1_state%rho_ao))
     894              :          END IF
     895            6 :          nvec = MIN(wf_history%memory_depth, wf_history%snapshot_count)
     896            6 :          CALL wfi_set_history_variables(qs_env=qs_env, nvec=nvec)
     897              : 
     898            6 :          t0 = 0.0_dp
     899            6 :          t1 = t1_state%dt
     900            6 :          t2 = t1 + dt
     901            6 :          IF (do_kpoints) THEN
     902            2 :             CALL qs_rho_get(rho, rho_ao_kp=rho_ao_kp)
     903            4 :             DO ispin = 1, SIZE(rho_ao_kp, 1)
     904          528 :                DO img = 1, SIZE(rho_ao_kp, 2)
     905          524 :                   IF (img > SIZE(t0_state%rho_ao_kp, 2) .OR. &
     906            2 :                       img > SIZE(t1_state%rho_ao_kp, 2)) THEN
     907           22 :                      CPWARN("Change in cell neighborlist: might affect quality of initial guess")
     908              :                   ELSE
     909              :                      CALL dbcsr_add(rho_ao_kp(ispin, img)%matrix, t1_state%rho_ao_kp(ispin, img)%matrix, &
     910          502 :                                     alpha_scalar=0.0_dp, beta_scalar=(t2 - t0)/(t1 - t0)) ! this copy should be unnecessary
     911              :                      CALL dbcsr_add(rho_ao_kp(ispin, img)%matrix, t0_state%rho_ao_kp(ispin, img)%matrix, &
     912          502 :                                     alpha_scalar=1.0_dp, beta_scalar=(t1 - t2)/(t1 - t0))
     913              :                   END IF
     914              :                END DO
     915              :             END DO
     916              :          ELSE
     917            4 :             CALL qs_rho_get(rho, rho_ao=rho_ao)
     918            8 :             DO ispin = 1, SIZE(rho_ao)
     919              :                CALL dbcsr_add(rho_ao(ispin)%matrix, t1_state%rho_ao(ispin)%matrix, &
     920            4 :                               alpha_scalar=0.0_dp, beta_scalar=(t2 - t0)/(t1 - t0)) ! this copy should be unnecessary
     921              :                CALL dbcsr_add(rho_ao(ispin)%matrix, t0_state%rho_ao(ispin)%matrix, &
     922            8 :                               alpha_scalar=1.0_dp, beta_scalar=(t1 - t2)/(t1 - t0))
     923              :             END DO
     924              :          END IF
     925            6 :          CALL qs_rho_update_rho(rho, qs_env=qs_env)
     926            6 :          CALL qs_ks_did_change(qs_env%ks_env, rho_changed=.TRUE.)
     927              :       CASE (wfi_linear_ps_method_nr)
     928              :          ! wf not calculated, extract with PSC renormalized?
     929              :          ! use wf_linear?
     930           12 :          CPASSERT(.NOT. do_kpoints)
     931           12 :          t0_state => wfi_get_snapshot(wf_history, wf_index=2)
     932           12 :          t1_state => wfi_get_snapshot(wf_history, wf_index=1)
     933           12 :          CPASSERT(ASSOCIATED(t0_state))
     934           12 :          CPASSERT(ASSOCIATED(t1_state))
     935           12 :          CPASSERT(ASSOCIATED(t0_state%wf))
     936           12 :          CPASSERT(ASSOCIATED(t1_state%wf))
     937           12 :          IF (wf_history%store_overlap) THEN
     938            4 :             CPASSERT(ASSOCIATED(t0_state%overlap))
     939            4 :             CPASSERT(ASSOCIATED(t1_state%overlap))
     940              :          END IF
     941           12 :          nvec = MIN(wf_history%memory_depth, wf_history%snapshot_count)
     942           12 :          IF (nvec >= wf_history%memory_depth) THEN
     943           12 :             IF ((qs_env%scf_control%max_scf_hist /= 0) .AND. (qs_env%scf_control%eps_scf_hist /= 0)) THEN
     944            0 :                qs_env%scf_control%max_scf = qs_env%scf_control%max_scf_hist
     945            0 :                qs_env%scf_control%eps_scf = qs_env%scf_control%eps_scf_hist
     946            0 :                qs_env%scf_control%outer_scf%have_scf = .FALSE.
     947           12 :             ELSE IF (qs_env%scf_control%max_scf_hist /= 0) THEN
     948            0 :                qs_env%scf_control%max_scf = qs_env%scf_control%max_scf_hist
     949            0 :                qs_env%scf_control%outer_scf%have_scf = .FALSE.
     950           12 :             ELSE IF (qs_env%scf_control%eps_scf_hist /= 0) THEN
     951            0 :                qs_env%scf_control%eps_scf = qs_env%scf_control%eps_scf_hist
     952              :             END IF
     953              :          END IF
     954              : 
     955           12 :          my_orthogonal_wf = .TRUE.
     956              :          ! use PS_2=2 PS_1-PS_0
     957              :          ! C_2 comes from using PS_2 as a projector acting on C_1
     958           12 :          CALL qs_rho_get(rho, rho_ao=rho_ao)
     959           24 :          DO ispin = 1, SIZE(mos)
     960           12 :             NULLIFY (mo_coeff, matrix_struct, matrix_struct_new)
     961           12 :             CALL get_mo_set(mo_set=mos(ispin), mo_coeff=mo_coeff)
     962              :             CALL cp_fm_get_info(mo_coeff, nrow_global=n, ncol_global=k, &
     963           12 :                                 matrix_struct=matrix_struct)
     964              :             CALL cp_fm_struct_create(matrix_struct_new, template_fmstruct=matrix_struct, &
     965           12 :                                      nrow_global=k, ncol_global=k)
     966           12 :             CALL cp_fm_create(csc, matrix_struct_new)
     967           12 :             CALL cp_fm_struct_release(matrix_struct_new)
     968              : 
     969           12 :             IF (use_overlap) THEN
     970            4 :                CALL cp_dbcsr_sm_fm_multiply(t0_state%overlap, t1_state%wf(ispin), mo_coeff, k)
     971            4 :                CALL parallel_gemm('T', 'N', k, k, n, 1.0_dp, t0_state%wf(ispin), mo_coeff, 0.0_dp, csc)
     972              :             ELSE
     973              :                CALL parallel_gemm('T', 'N', k, k, n, 1.0_dp, t0_state%wf(ispin), &
     974            8 :                                   t1_state%wf(ispin), 0.0_dp, csc)
     975              :             END IF
     976           12 :             CALL parallel_gemm('N', 'N', n, k, k, 1.0_dp, t0_state%wf(ispin), csc, 0.0_dp, mo_coeff)
     977           12 :             CALL cp_fm_release(csc)
     978           12 :             CALL cp_fm_scale_and_add(-1.0_dp, mo_coeff, 2.0_dp, t1_state%wf(ispin))
     979              :             CALL reorthogonalize_vectors(qs_env, &
     980              :                                          v_matrix=mo_coeff, &
     981           12 :                                          n_col=k)
     982              :             CALL calculate_density_matrix(mo_set=mos(ispin), &
     983           48 :                                           density_matrix=rho_ao(ispin)%matrix)
     984              :          END DO
     985           12 :          CALL qs_rho_update_rho(rho, qs_env=qs_env)
     986           12 :          CALL qs_ks_did_change(qs_env%ks_env, rho_changed=.TRUE.)
     987              : 
     988              :       CASE (wfi_ps_method_nr)
     989              :          ! figure out the actual number of vectors to use in the extrapolation:
     990          376 :          nvec = MIN(wf_history%memory_depth, wf_history%snapshot_count)
     991          376 :          CPASSERT(nvec > 0)
     992          376 :          IF (nvec >= wf_history%memory_depth) THEN
     993          178 :             IF ((qs_env%scf_control%max_scf_hist /= 0) .AND. (qs_env%scf_control%eps_scf_hist /= 0)) THEN
     994            0 :                qs_env%scf_control%max_scf = qs_env%scf_control%max_scf_hist
     995            0 :                qs_env%scf_control%eps_scf = qs_env%scf_control%eps_scf_hist
     996            0 :                qs_env%scf_control%outer_scf%have_scf = .FALSE.
     997          178 :             ELSE IF (qs_env%scf_control%max_scf_hist /= 0) THEN
     998            0 :                qs_env%scf_control%max_scf = qs_env%scf_control%max_scf_hist
     999            0 :                qs_env%scf_control%outer_scf%have_scf = .FALSE.
    1000          178 :             ELSE IF (qs_env%scf_control%eps_scf_hist /= 0) THEN
    1001            0 :                qs_env%scf_control%eps_scf = qs_env%scf_control%eps_scf_hist
    1002              :             END IF
    1003              :          END IF
    1004              : 
    1005          376 :          IF (do_kpoints) THEN
    1006            4 :             CALL wfi_extrapolate_ps_aspc_kp(wf_history, qs_env, nvec, io_unit, print_level)
    1007            4 :             my_orthogonal_wf = .TRUE.
    1008              :          ELSE
    1009          372 :             my_orthogonal_wf = .TRUE.
    1010          822 :             DO ispin = 1, SIZE(mos)
    1011          450 :                NULLIFY (mo_coeff, matrix_struct, matrix_struct_new)
    1012          450 :                CALL get_mo_set(mo_set=mos(ispin), mo_coeff=mo_coeff)
    1013              :                CALL cp_fm_get_info(mo_coeff, nrow_global=n, ncol_global=k, &
    1014          450 :                                    matrix_struct=matrix_struct)
    1015          450 :                CALL cp_fm_create(fm_tmp, matrix_struct)
    1016              :                CALL cp_fm_struct_create(matrix_struct_new, template_fmstruct=matrix_struct, &
    1017          450 :                                         nrow_global=k, ncol_global=k)
    1018          450 :                CALL cp_fm_create(csc, matrix_struct_new)
    1019          450 :                CALL cp_fm_struct_release(matrix_struct_new)
    1020              :                ! first the most recent
    1021          450 :                t1_state => wfi_get_snapshot(wf_history, wf_index=1)
    1022          450 :                CALL cp_fm_to_fm(t1_state%wf(ispin), mo_coeff)
    1023          450 :                alpha = nvec
    1024          450 :                CALL cp_fm_scale(alpha, mo_coeff)
    1025          450 :                CALL qs_rho_get(rho, rho_ao=rho_ao)
    1026          962 :                DO i = 2, nvec
    1027          512 :                   t0_state => wfi_get_snapshot(wf_history, wf_index=i)
    1028          512 :                   IF (use_overlap) THEN
    1029          474 :                      CALL cp_dbcsr_sm_fm_multiply(t0_state%overlap, t1_state%wf(ispin), fm_tmp, k)
    1030          474 :                      CALL parallel_gemm('T', 'N', k, k, n, 1.0_dp, t0_state%wf(ispin), fm_tmp, 0.0_dp, csc)
    1031              :                   ELSE
    1032              :                      CALL parallel_gemm('T', 'N', k, k, n, 1.0_dp, t0_state%wf(ispin), &
    1033           38 :                                         t1_state%wf(ispin), 0.0_dp, csc)
    1034              :                   END IF
    1035          512 :                   CALL parallel_gemm('N', 'N', n, k, k, 1.0_dp, t0_state%wf(ispin), csc, 0.0_dp, fm_tmp)
    1036          512 :                   alpha = -1.0_dp*alpha*REAL(nvec - i + 1, dp)/REAL(i, dp)
    1037          962 :                   CALL cp_fm_scale_and_add(1.0_dp, mo_coeff, alpha, fm_tmp)
    1038              :                END DO
    1039              : 
    1040          450 :                CALL cp_fm_release(csc)
    1041          450 :                CALL cp_fm_release(fm_tmp)
    1042              :                CALL reorthogonalize_vectors(qs_env, &
    1043              :                                             v_matrix=mo_coeff, &
    1044          450 :                                             n_col=k)
    1045              :                CALL calculate_density_matrix(mo_set=mos(ispin), &
    1046         1722 :                                              density_matrix=rho_ao(ispin)%matrix)
    1047              :             END DO
    1048          372 :             CALL qs_rho_update_rho(rho, qs_env=qs_env)
    1049          372 :             CALL qs_ks_did_change(qs_env%ks_env, rho_changed=.TRUE.)
    1050              :          END IF
    1051              : 
    1052              :       CASE (wfi_aspc_nr)
    1053        14848 :          CALL cite_reference(Kolafa2004)
    1054        14848 :          CALL cite_reference(Kuhne2007)
    1055              :          ! figure out the actual number of vectors to use in the extrapolation:
    1056        14848 :          nvec = MIN(wf_history%memory_depth, wf_history%snapshot_count)
    1057        14848 :          CPASSERT(nvec > 0)
    1058        14848 :          IF (nvec >= wf_history%memory_depth) THEN
    1059         9652 :             IF ((qs_env%scf_control%max_scf_hist /= 0) .AND. &
    1060              :                 (qs_env%scf_control%eps_scf_hist /= 0)) THEN
    1061           18 :                qs_env%scf_control%max_scf = qs_env%scf_control%max_scf_hist
    1062           18 :                qs_env%scf_control%eps_scf = qs_env%scf_control%eps_scf_hist
    1063           18 :                qs_env%scf_control%outer_scf%have_scf = .FALSE.
    1064         9634 :             ELSE IF (qs_env%scf_control%max_scf_hist /= 0) THEN
    1065           62 :                qs_env%scf_control%max_scf = qs_env%scf_control%max_scf_hist
    1066           62 :                qs_env%scf_control%outer_scf%have_scf = .FALSE.
    1067         9572 :             ELSE IF (qs_env%scf_control%eps_scf_hist /= 0) THEN
    1068            8 :                qs_env%scf_control%eps_scf = qs_env%scf_control%eps_scf_hist
    1069              :             END IF
    1070              :          END IF
    1071              : 
    1072        14848 :          IF (do_kpoints) THEN
    1073          424 :             CALL wfi_extrapolate_ps_aspc_kp(wf_history, qs_env, nvec, io_unit, print_level)
    1074          424 :             my_orthogonal_wf = .TRUE.
    1075              :          ELSE
    1076        14424 :             my_orthogonal_wf = .TRUE.
    1077        14424 :             CALL qs_rho_get(rho, rho_ao=rho_ao)
    1078        30057 :             DO ispin = 1, SIZE(mos)
    1079        15633 :                NULLIFY (mo_coeff, matrix_struct, matrix_struct_new)
    1080        15633 :                CALL get_mo_set(mo_set=mos(ispin), mo_coeff=mo_coeff)
    1081              :                CALL cp_fm_get_info(mo_coeff, &
    1082              :                                    nrow_global=n, &
    1083              :                                    ncol_global=k, &
    1084        15633 :                                    matrix_struct=matrix_struct)
    1085        15633 :                CALL cp_fm_create(fm_tmp, matrix_struct, set_zero=.TRUE.)
    1086              :                CALL cp_fm_struct_create(matrix_struct_new, &
    1087              :                                         template_fmstruct=matrix_struct, &
    1088              :                                         nrow_global=k, &
    1089        15633 :                                         ncol_global=k)
    1090        15633 :                CALL cp_fm_create(csc, matrix_struct_new, set_zero=.TRUE.)
    1091        15633 :                CALL cp_fm_struct_release(matrix_struct_new)
    1092              :                ! first the most recent
    1093              :                t1_state => wfi_get_snapshot(wf_history, &
    1094        15633 :                                             wf_index=1)
    1095        15633 :                CALL cp_fm_to_fm(t1_state%wf(ispin), mo_coeff)
    1096        15633 :                alpha = REAL(4*nvec - 2, KIND=dp)/REAL(nvec + 1, KIND=dp)
    1097        15633 :                IF ((io_unit > 0) .AND. (print_level > low_print_level)) THEN
    1098              :                   WRITE (UNIT=io_unit, FMT="(/,T2,A,/,/,T3,A,I0,/,/,T3,A2,I0,A4,F10.6)") &
    1099         3154 :                      "Parameters for the always stable predictor-corrector (ASPC) method:", &
    1100         3154 :                      "ASPC order: ", MAX(nvec - 2, 0), &
    1101         6308 :                      "B(", 1, ") = ", alpha
    1102              :                END IF
    1103        15633 :                CALL cp_fm_scale(alpha, mo_coeff)
    1104              : 
    1105        61165 :                DO i = 2, nvec
    1106        45532 :                   t0_state => wfi_get_snapshot(wf_history, wf_index=i)
    1107        45532 :                   IF (use_overlap) THEN
    1108        33992 :                      CALL cp_dbcsr_sm_fm_multiply(t0_state%overlap, t1_state%wf(ispin), fm_tmp, k)
    1109        33992 :                      CALL parallel_gemm('T', 'N', k, k, n, 1.0_dp, t0_state%wf(ispin), fm_tmp, 0.0_dp, csc)
    1110              :                   ELSE
    1111              :                      CALL parallel_gemm('T', 'N', k, k, n, 1.0_dp, t0_state%wf(ispin), &
    1112        11540 :                                         t1_state%wf(ispin), 0.0_dp, csc)
    1113              :                   END IF
    1114        45532 :                   CALL parallel_gemm('N', 'N', n, k, k, 1.0_dp, t0_state%wf(ispin), csc, 0.0_dp, fm_tmp)
    1115              :                   alpha = (-1.0_dp)**(i + 1)*REAL(i, KIND=dp)* &
    1116        45532 :                           binomial(2*nvec, nvec - i)/binomial(2*nvec - 2, nvec - 1)
    1117        45532 :                   IF ((io_unit > 0) .AND. (print_level > low_print_level)) THEN
    1118              :                      WRITE (UNIT=io_unit, FMT="(T3,A2,I0,A4,F10.6)") &
    1119         9454 :                         "B(", i, ") = ", alpha
    1120              :                   END IF
    1121        61165 :                   CALL cp_fm_scale_and_add(1.0_dp, mo_coeff, alpha, fm_tmp)
    1122              :                END DO
    1123        15633 :                CALL cp_fm_release(csc)
    1124        15633 :                CALL cp_fm_release(fm_tmp)
    1125              :                CALL reorthogonalize_vectors(qs_env, &
    1126              :                                             v_matrix=mo_coeff, &
    1127        15633 :                                             n_col=k)
    1128              :                CALL calculate_density_matrix(mo_set=mos(ispin), &
    1129        45690 :                                              density_matrix=rho_ao(ispin)%matrix)
    1130              :             END DO
    1131        14424 :             CALL qs_rho_update_rho(rho, qs_env=qs_env)
    1132        14424 :             CALL qs_ks_did_change(qs_env%ks_env, rho_changed=.TRUE.)
    1133              :          END IF ! do_kpoints
    1134              : 
    1135              :       CASE (wfi_gext_proj_nr)
    1136          140 :          IF (do_kpoints) THEN
    1137            4 :             nvec = MIN(wf_history%memory_depth, wf_history%snapshot_count)
    1138            4 :             CPASSERT(nvec > 0)
    1139            4 :             CALL wfi_extrapolate_gext_proj_kp(wf_history, qs_env, nvec, io_unit, print_level)
    1140              :          ELSE
    1141              : 
    1142              :             ! figure out the actual number of vectors to use in the extrapolation:
    1143          136 :             nvec = MIN(wf_history%memory_depth, wf_history%snapshot_count)
    1144          136 :             IF (nvec >= wf_history%memory_depth) THEN
    1145           88 :                IF ((qs_env%scf_control%max_scf_hist /= 0) .AND. &
    1146              :                    (qs_env%scf_control%eps_scf_hist /= 0)) THEN
    1147            0 :                   qs_env%scf_control%max_scf = qs_env%scf_control%max_scf_hist
    1148            0 :                   qs_env%scf_control%eps_scf = qs_env%scf_control%eps_scf_hist
    1149            0 :                   qs_env%scf_control%outer_scf%have_scf = .FALSE.
    1150           88 :                ELSE IF (qs_env%scf_control%max_scf_hist /= 0) THEN
    1151            0 :                   qs_env%scf_control%max_scf = qs_env%scf_control%max_scf_hist
    1152            0 :                   qs_env%scf_control%outer_scf%have_scf = .FALSE.
    1153           88 :                ELSE IF (qs_env%scf_control%eps_scf_hist /= 0) THEN
    1154            0 :                   qs_env%scf_control%eps_scf = qs_env%scf_control%eps_scf_hist
    1155              :                END IF
    1156              :             END IF
    1157          136 :             CPASSERT(nvec > 0)
    1158              : 
    1159              :             ! get the coefficients for the fitting
    1160          408 :             ALLOCATE (coeffs(nvec))
    1161          136 :             NULLIFY (matrix_s)
    1162          136 :             CALL get_qs_env(qs_env, matrix_s=matrix_s)
    1163              :             CALL diff_fitting(wf_history, matrix_s(1)%matrix, coeffs, nvec, &
    1164          136 :                               1e-4_dp, io_unit, print_level)
    1165              : 
    1166          136 :             my_orthogonal_wf = .TRUE.
    1167          136 :             CALL qs_rho_get(rho, rho_ao=rho_ao)
    1168          328 :             DO ispin = 1, SIZE(mos)
    1169          192 :                NULLIFY (mo_coeff, matrix_struct, matrix_struct_new)
    1170          192 :                CALL get_mo_set(mo_set=mos(ispin), mo_coeff=mo_coeff)
    1171              :                CALL cp_fm_get_info(mo_coeff, &
    1172              :                                    nrow_global=n, &
    1173              :                                    ncol_global=k, &
    1174          192 :                                    matrix_struct=matrix_struct)
    1175          192 :                CALL cp_fm_create(fm_tmp, matrix_struct)
    1176              :                CALL cp_fm_struct_create(matrix_struct_new, &
    1177              :                                         template_fmstruct=matrix_struct, &
    1178              :                                         nrow_global=k, &
    1179          192 :                                         ncol_global=k)
    1180          192 :                CALL cp_fm_create(csc, matrix_struct_new)
    1181          192 :                CALL cp_fm_struct_release(matrix_struct_new)
    1182              : 
    1183          192 :                t1_state => wfi_get_snapshot(wf_history, wf_index=1)
    1184              : 
    1185              :                ! do the linear combination of previous PSs
    1186          192 :                CALL cp_fm_set_all(mo_coeff, 0.0_dp)
    1187          704 :                DO i = 1, nvec
    1188          512 :                   t0_state => wfi_get_snapshot(wf_history, wf_index=i)
    1189          512 :                   CALL cp_dbcsr_sm_fm_multiply(t0_state%overlap, t1_state%wf(ispin), fm_tmp, k)
    1190          512 :                   CALL parallel_gemm('T', 'N', k, k, n, 1.0_dp, t0_state%wf(ispin), fm_tmp, 0.0_dp, csc)
    1191          512 :                   CALL parallel_gemm('N', 'N', n, k, k, 1.0_dp, t0_state%wf(ispin), csc, 0.0_dp, fm_tmp)
    1192          704 :                   CALL cp_fm_scale_and_add(1.0_dp, mo_coeff, coeffs(i), fm_tmp)
    1193              :                END DO
    1194          192 :                CALL cp_fm_release(csc)
    1195          192 :                CALL cp_fm_release(fm_tmp)
    1196              :                CALL reorthogonalize_vectors(qs_env, &
    1197              :                                             v_matrix=mo_coeff, &
    1198          192 :                                             n_col=k)
    1199              :                CALL calculate_density_matrix(mo_set=mos(ispin), &
    1200          712 :                                              density_matrix=rho_ao(ispin)%matrix)
    1201              :             END DO
    1202          136 :             CALL qs_rho_update_rho(rho, qs_env=qs_env)
    1203          136 :             CALL qs_ks_did_change(qs_env%ks_env, rho_changed=.TRUE.)
    1204              : 
    1205          136 :             DEALLOCATE (coeffs)
    1206              : 
    1207              :          END IF
    1208              : 
    1209              :       CASE (wfi_gext_proj_qtr_nr)
    1210           28 :          IF (do_kpoints) THEN
    1211            4 :             nvec = MIN(wf_history%memory_depth, wf_history%snapshot_count)
    1212            4 :             CPASSERT(nvec > 0)
    1213            4 :             CALL wfi_extrapolate_gext_proj_kp(wf_history, qs_env, nvec, io_unit, print_level)
    1214              :          ELSE
    1215              : 
    1216              :             ! figure out the actual number of vectors to use in the extrapolation:
    1217           24 :             nvec = MIN(wf_history%memory_depth, wf_history%snapshot_count)
    1218           24 :             IF (nvec >= wf_history%memory_depth) THEN
    1219            8 :                IF ((qs_env%scf_control%max_scf_hist /= 0) .AND. &
    1220              :                    (qs_env%scf_control%eps_scf_hist /= 0)) THEN
    1221            0 :                   qs_env%scf_control%max_scf = qs_env%scf_control%max_scf_hist
    1222            0 :                   qs_env%scf_control%eps_scf = qs_env%scf_control%eps_scf_hist
    1223            0 :                   qs_env%scf_control%outer_scf%have_scf = .FALSE.
    1224            8 :                ELSE IF (qs_env%scf_control%max_scf_hist /= 0) THEN
    1225            0 :                   qs_env%scf_control%max_scf = qs_env%scf_control%max_scf_hist
    1226            0 :                   qs_env%scf_control%outer_scf%have_scf = .FALSE.
    1227            8 :                ELSE IF (qs_env%scf_control%eps_scf_hist /= 0) THEN
    1228            0 :                   qs_env%scf_control%eps_scf = qs_env%scf_control%eps_scf_hist
    1229              :                END IF
    1230              :             END IF
    1231           24 :             CPASSERT(nvec > 0)
    1232              : 
    1233              :             ! get the coefficients for the fitting
    1234           72 :             ALLOCATE (coeffs(nvec))
    1235           24 :             NULLIFY (matrix_s)
    1236           24 :             CALL get_qs_env(qs_env, matrix_s=matrix_s)
    1237              :             CALL tr_fitting(wf_history, matrix_s(1)%matrix, coeffs, nvec, &
    1238           24 :                             1e-4_dp, io_unit, print_level)
    1239              : 
    1240           24 :             my_orthogonal_wf = .TRUE.
    1241           24 :             CALL qs_rho_get(rho, rho_ao=rho_ao)
    1242           48 :             DO ispin = 1, SIZE(mos)
    1243           24 :                NULLIFY (mo_coeff, matrix_struct, matrix_struct_new)
    1244           24 :                CALL get_mo_set(mo_set=mos(ispin), mo_coeff=mo_coeff)
    1245              :                CALL cp_fm_get_info(mo_coeff, &
    1246              :                                    nrow_global=n, &
    1247              :                                    ncol_global=k, &
    1248           24 :                                    matrix_struct=matrix_struct)
    1249           24 :                CALL cp_fm_create(fm_tmp, matrix_struct)
    1250              :                CALL cp_fm_struct_create(matrix_struct_new, &
    1251              :                                         template_fmstruct=matrix_struct, &
    1252              :                                         nrow_global=k, &
    1253           24 :                                         ncol_global=k)
    1254           24 :                CALL cp_fm_create(csc, matrix_struct_new)
    1255           24 :                CALL cp_fm_struct_release(matrix_struct_new)
    1256              : 
    1257           24 :                t1_state => wfi_get_snapshot(wf_history, wf_index=1)
    1258              : 
    1259              :                ! do the linear combination of previous PSs
    1260           24 :                CALL cp_fm_set_all(mo_coeff, 0.0_dp)
    1261          104 :                DO i = 1, nvec
    1262           80 :                   t0_state => wfi_get_snapshot(wf_history, wf_index=i)
    1263           80 :                   CALL cp_dbcsr_sm_fm_multiply(t0_state%overlap, t1_state%wf(ispin), fm_tmp, k)
    1264           80 :                   CALL parallel_gemm('T', 'N', k, k, n, 1.0_dp, t0_state%wf(ispin), fm_tmp, 0.0_dp, csc)
    1265           80 :                   CALL parallel_gemm('N', 'N', n, k, k, 1.0_dp, t0_state%wf(ispin), csc, 0.0_dp, fm_tmp)
    1266          104 :                   CALL cp_fm_scale_and_add(1.0_dp, mo_coeff, coeffs(i), fm_tmp)
    1267              :                END DO
    1268           24 :                CALL cp_fm_release(csc)
    1269           24 :                CALL cp_fm_release(fm_tmp)
    1270              :                CALL reorthogonalize_vectors(qs_env, &
    1271              :                                             v_matrix=mo_coeff, &
    1272           24 :                                             n_col=k)
    1273              :                CALL calculate_density_matrix(mo_set=mos(ispin), &
    1274           96 :                                              density_matrix=rho_ao(ispin)%matrix)
    1275              :             END DO
    1276           24 :             CALL qs_rho_update_rho(rho, qs_env=qs_env)
    1277           24 :             CALL qs_ks_did_change(qs_env%ks_env, rho_changed=.TRUE.)
    1278              : 
    1279           24 :             DEALLOCATE (coeffs)
    1280              : 
    1281              :          END IF
    1282              : 
    1283              :       CASE default
    1284              :          CALL cp_abort(__LOCATION__, &
    1285              :                        "Unknown interpolation method: "// &
    1286        26455 :                        TRIM(ADJUSTL(cp_to_string(wf_history%interpolation_method_nr))))
    1287              :       END SELECT
    1288        26455 :       IF (PRESENT(orthogonal_wf)) orthogonal_wf = my_orthogonal_wf
    1289              :       CALL cp_print_key_finished_output(io_unit, logger, qs_env%input, &
    1290        26455 :                                         "DFT%SCF%PRINT%PROGRAM_RUN_INFO")
    1291        26455 :       CALL timestop(handle)
    1292        26455 :    END SUBROUTINE wfi_extrapolate
    1293              : 
    1294              : ! **************************************************************************************************
    1295              : !> \brief Reorthogonalizes the wavefunctions from the previous step for k-points
    1296              : !>        using the current S(k) metric and rebuilds the density matrix.
    1297              : !> \param qs_env The QS environment
    1298              : !> \param io_unit output unit
    1299              : !> \param print_level print level
    1300              : !> \param pbc_shift_ref ...
    1301              : !> \param load_snapshot_wf ...
    1302              : ! **************************************************************************************************
    1303          442 :    SUBROUTINE wfi_use_prev_wf_kp(qs_env, io_unit, print_level, pbc_shift_ref, load_snapshot_wf)
    1304              :       TYPE(qs_environment_type), POINTER                 :: qs_env
    1305              :       INTEGER, INTENT(IN)                                :: io_unit, print_level
    1306              :       INTEGER, DIMENSION(:, :), INTENT(IN), OPTIONAL     :: pbc_shift_ref
    1307              :       LOGICAL, INTENT(IN), OPTIONAL                      :: load_snapshot_wf
    1308              : 
    1309              :       CHARACTER(len=*), PARAMETER :: routineN = 'wfi_use_prev_wf_kp'
    1310              : 
    1311          442 :       COMPLEX(KIND=dp), ALLOCATABLE, DIMENSION(:)        :: col_scaling
    1312              :       INTEGER                                            :: chol_info, handle, igroup, ik, ikp, &
    1313              :                                                             indx, ispin, j, kplocal, nao, nkp, &
    1314              :                                                             nkp_groups, nmo, nspin
    1315          442 :       INTEGER, ALLOCATABLE, DIMENSION(:, :)              :: pbc_shift_cur, pbc_shift_src
    1316              :       INTEGER, DIMENSION(2)                              :: kp_range
    1317          442 :       INTEGER, DIMENSION(:, :), POINTER                  :: kp_dist
    1318          442 :       INTEGER, DIMENSION(:, :, :), POINTER               :: cell_to_index
    1319              :       LOGICAL                                            :: my_kpgrp, reload_snapshot_wf, &
    1320              :                                                             use_pbc_phase_ref, use_real_wfn
    1321              :       REAL(KIND=dp)                                      :: eval_thresh
    1322          442 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: eigenvalues
    1323          442 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: xkp
    1324          442 :       TYPE(copy_info_type), ALLOCATABLE, DIMENSION(:, :) :: info
    1325              :       TYPE(cp_cfm_type)                                  :: cfm_evecs, cfm_mhalf, cfm_nao_nmo_work, &
    1326              :                                                             cmos_new, csc_cfm
    1327          442 :       TYPE(cp_cfm_type), ALLOCATABLE, DIMENSION(:)       :: csmat_cur
    1328          442 :       TYPE(cp_fm_pool_p_type), DIMENSION(:), POINTER     :: ao_ao_fm_pools_kp
    1329              :       TYPE(cp_fm_struct_type), POINTER                   :: ao_ao_struct, nmo_nmo_struct
    1330              :       TYPE(cp_fm_type)                                   :: fmdummy, fmlocal
    1331              :       TYPE(cp_fm_type), POINTER                          :: imos, mo_coeff, rmos
    1332          442 :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: matrix_s_kp, rho_ao_kp
    1333              :       TYPE(dbcsr_type), POINTER                          :: cmatrix_db, rmatrix, tmpmat
    1334              :       TYPE(dft_control_type), POINTER                    :: dft_control
    1335              :       TYPE(kpoint_env_type), POINTER                     :: kp
    1336              :       TYPE(kpoint_type), POINTER                         :: kpoints
    1337              :       TYPE(mp_para_env_type), POINTER                    :: para_env
    1338              :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
    1339          442 :          POINTER                                         :: sab_nl
    1340              :       TYPE(qs_matrix_pools_type), POINTER                :: mpools_kp
    1341              :       TYPE(qs_rho_type), POINTER                         :: rho
    1342              :       TYPE(qs_scf_env_type), POINTER                     :: scf_env
    1343              :       TYPE(qs_wf_history_type), POINTER                  :: wf_history
    1344              :       TYPE(qs_wf_snapshot_type), POINTER                 :: t1_state
    1345              :       TYPE(scf_control_type), POINTER                    :: scf_control
    1346              : 
    1347          442 :       CALL timeset(routineN, handle)
    1348              : 
    1349          442 :       NULLIFY (kpoints, dft_control, matrix_s_kp, scf_env, scf_control, rho, sab_nl, kp, &
    1350          442 :                mo_coeff, rmos, imos, wf_history, t1_state)
    1351              : 
    1352              :       CALL get_qs_env(qs_env, kpoints=kpoints, dft_control=dft_control, &
    1353              :                       matrix_s_kp=matrix_s_kp, scf_env=scf_env, &
    1354          442 :                       scf_control=scf_control, rho=rho)
    1355              :       CALL get_kpoint_info(kpoints, nkp=nkp, xkp=xkp, use_real_wfn=use_real_wfn, &
    1356              :                            kp_range=kp_range, nkp_groups=nkp_groups, kp_dist=kp_dist, &
    1357          442 :                            sab_nl=sab_nl, cell_to_index=cell_to_index)
    1358          442 :       kplocal = kp_range(2) - kp_range(1) + 1
    1359              : 
    1360          442 :       IF (use_real_wfn) THEN
    1361            0 :          CALL timestop(handle)
    1362            0 :          RETURN
    1363              :       END IF
    1364              : 
    1365          442 :       wf_history => qs_env%wf_history
    1366          442 :       reload_snapshot_wf = .FALSE.
    1367          442 :       IF (PRESENT(load_snapshot_wf)) reload_snapshot_wf = load_snapshot_wf
    1368          442 :       IF (PRESENT(pbc_shift_ref)) THEN
    1369         1308 :          ALLOCATE (pbc_shift_src(3, SIZE(pbc_shift_ref, 2)))
    1370        12092 :          pbc_shift_src(:, :) = pbc_shift_ref(:, :)
    1371          440 :          use_pbc_phase_ref = .TRUE.
    1372              :       ELSE
    1373            6 :          use_pbc_phase_ref = .FALSE.
    1374            6 :          IF (ASSOCIATED(wf_history)) THEN
    1375            6 :             IF (wf_history%store_wf_kp .AND. wf_history%snapshot_count > 0) THEN
    1376            4 :                t1_state => wfi_get_snapshot(wf_history, wf_index=1)
    1377            4 :                CPASSERT(ASSOCIATED(t1_state%wf_kp))
    1378            4 :                CPASSERT(ASSOCIATED(t1_state%kp_pbc_shift))
    1379            4 :                reload_snapshot_wf = .TRUE.
    1380           12 :                ALLOCATE (pbc_shift_src(3, SIZE(t1_state%kp_pbc_shift, 2)))
    1381          132 :                pbc_shift_src(:, :) = t1_state%kp_pbc_shift(:, :)
    1382              :                use_pbc_phase_ref = .TRUE.
    1383              :             END IF
    1384              :          END IF
    1385              :       END IF
    1386          440 :       IF (use_pbc_phase_ref) CALL wfi_compute_kp_pbc_shift(qs_env, pbc_shift_cur)
    1387              : 
    1388          442 :       kp => kpoints%kp_env(1)%kpoint_env
    1389          442 :       nspin = SIZE(kp%mos, 2)
    1390          442 :       CALL get_mo_set(kp%mos(1, 1), nao=nao, nmo=nmo, mo_coeff=mo_coeff)
    1391              : 
    1392          442 :       IF ((io_unit > 0) .AND. (print_level > low_print_level)) THEN
    1393              :          WRITE (UNIT=io_unit, FMT="(/,T2,A)") &
    1394            0 :             "Using previous wavefunctions as initial guess for k-points (with reorthogonalization)"
    1395              :       END IF
    1396              : 
    1397              :       ! Allocate dbcsr work matrices
    1398          442 :       ALLOCATE (rmatrix, cmatrix_db, tmpmat)
    1399          442 :       CALL dbcsr_create(rmatrix, template=matrix_s_kp(1, 1)%matrix, matrix_type=dbcsr_type_symmetric)
    1400          442 :       CALL dbcsr_create(cmatrix_db, template=matrix_s_kp(1, 1)%matrix, matrix_type=dbcsr_type_antisymmetric)
    1401          442 :       CALL dbcsr_create(tmpmat, template=matrix_s_kp(1, 1)%matrix, matrix_type=dbcsr_type_no_symmetry)
    1402          442 :       CALL cp_dbcsr_alloc_block_from_nbl(rmatrix, sab_nl)
    1403          442 :       CALL cp_dbcsr_alloc_block_from_nbl(cmatrix_db, sab_nl)
    1404              : 
    1405          442 :       CALL get_kpoint_info(kpoints, mpools=mpools_kp)
    1406          442 :       CALL mpools_get(mpools_kp, ao_ao_fm_pools=ao_ao_fm_pools_kp)
    1407          442 :       CALL fm_pool_create_fm(ao_ao_fm_pools_kp(1)%pool, fmlocal)
    1408          442 :       CALL cp_fm_get_info(fmlocal, matrix_struct=ao_ao_struct)
    1409              : 
    1410          442 :       CALL cp_cfm_create(cmos_new, mo_coeff%matrix_struct)
    1411          442 :       CALL cp_cfm_create(cfm_nao_nmo_work, mo_coeff%matrix_struct)
    1412              : 
    1413          442 :       NULLIFY (nmo_nmo_struct)
    1414              :       CALL cp_fm_struct_create(nmo_nmo_struct, template_fmstruct=mo_coeff%matrix_struct, &
    1415          442 :                                nrow_global=nmo, ncol_global=nmo)
    1416          442 :       CALL cp_cfm_create(csc_cfm, nmo_nmo_struct)
    1417          442 :       CALL cp_fm_struct_release(nmo_nmo_struct)
    1418              : 
    1419          442 :       para_env => kpoints%blacs_env_all%para_env
    1420         8814 :       ALLOCATE (info(kplocal*nkp_groups, 2))
    1421              : 
    1422         2470 :       ALLOCATE (csmat_cur(kplocal))
    1423         1586 :       DO ikp = 1, kplocal
    1424         1586 :          CALL cp_cfm_create(csmat_cur(ikp), ao_ao_struct)
    1425              :       END DO
    1426              : 
    1427              :       ! Phase A: Fourier Transform S(R) -> S(k)
    1428              :       indx = 0
    1429         1586 :       DO ikp = 1, kplocal
    1430         3562 :          DO igroup = 1, nkp_groups
    1431         1976 :             ik = kp_dist(1, igroup) + ikp - 1
    1432         1976 :             my_kpgrp = (ik >= kp_range(1) .AND. ik <= kp_range(2))
    1433         1976 :             indx = indx + 1
    1434              : 
    1435         1976 :             CALL dbcsr_set(rmatrix, 0.0_dp)
    1436         1976 :             CALL dbcsr_set(cmatrix_db, 0.0_dp)
    1437              :             CALL rskp_transform(rmatrix=rmatrix, cmatrix=cmatrix_db, rsmat=matrix_s_kp, &
    1438         1976 :                                 ispin=1, xkp=xkp(1:3, ik), cell_to_index=cell_to_index, sab_nl=sab_nl)
    1439         1976 :             CALL dbcsr_desymmetrize(rmatrix, tmpmat)
    1440         1976 :             CALL copy_dbcsr_to_fm(tmpmat, scf_env%scf_work1(1))
    1441         1976 :             CALL dbcsr_desymmetrize(cmatrix_db, tmpmat)
    1442         1976 :             CALL copy_dbcsr_to_fm(tmpmat, scf_env%scf_work1(2))
    1443              : 
    1444         3120 :             IF (my_kpgrp) THEN
    1445         1144 :                CALL cp_fm_start_copy_general(scf_env%scf_work1(1), fmlocal, para_env, info(indx, 1))
    1446         1144 :                CALL cp_fm_start_copy_general(scf_env%scf_work1(2), fmlocal, para_env, info(indx, 2))
    1447              :             ELSE
    1448          832 :                CALL cp_fm_start_copy_general(scf_env%scf_work1(1), fmdummy, para_env, info(indx, 1))
    1449          832 :                CALL cp_fm_start_copy_general(scf_env%scf_work1(2), fmdummy, para_env, info(indx, 2))
    1450              :             END IF
    1451              :          END DO
    1452              :       END DO
    1453              : 
    1454              :       ! Finish Communication
    1455              :       indx = 0
    1456         1586 :       DO ikp = 1, kplocal
    1457         3562 :          DO igroup = 1, nkp_groups
    1458         1976 :             ik = kp_dist(1, igroup) + ikp - 1
    1459         1976 :             my_kpgrp = (ik >= kp_range(1) .AND. ik <= kp_range(2))
    1460          832 :             indx = indx + 1
    1461         1144 :             IF (my_kpgrp) THEN
    1462         1144 :                CALL cp_fm_finish_copy_general(fmlocal, info(indx, 1))
    1463         1144 :                CALL cp_cfm_scale_and_add_fm(z_zero, csmat_cur(ikp), z_one, fmlocal)
    1464         1144 :                CALL cp_fm_finish_copy_general(fmlocal, info(indx, 2))
    1465         1144 :                CALL cp_cfm_scale_and_add_fm(z_one, csmat_cur(ikp), gaussi, fmlocal)
    1466              :             END IF
    1467              :          END DO
    1468              :       END DO
    1469              : 
    1470         2418 :       DO indx = 1, kplocal*nkp_groups
    1471         1976 :          CALL cp_fm_cleanup_copy_general(info(indx, 1))
    1472         2418 :          CALL cp_fm_cleanup_copy_general(info(indx, 2))
    1473              :       END DO
    1474              : 
    1475              :       ! Phase B: bring the WFN from its saved/internal PBC image convention to
    1476              :       ! the current convention, then orthogonalize it with respect to S(k).
    1477         1326 :       ALLOCATE (eigenvalues(nmo))
    1478          442 :       eval_thresh = 1.0E-12_dp
    1479              : 
    1480         1586 :       DO ikp = 1, kplocal
    1481         1144 :          kp => kpoints%kp_env(ikp)%kpoint_env
    1482         2926 :          DO ispin = 1, nspin
    1483         1340 :             CALL get_mo_set(kp%mos(1, ispin), mo_coeff=rmos)
    1484         1340 :             CALL get_mo_set(kp%mos(2, ispin), mo_coeff=imos)
    1485         1340 :             IF (reload_snapshot_wf) THEN
    1486           16 :                CALL cp_fm_to_fm(t1_state%wf_kp(ikp, 1, ispin), rmos)
    1487           16 :                CALL cp_fm_to_fm(t1_state%wf_kp(ikp, 2, ispin), imos)
    1488              :             END IF
    1489         1340 :             IF (use_pbc_phase_ref) THEN
    1490         1332 :                ik = kp_range(1) + ikp - 1
    1491              :                CALL wfi_apply_kp_pbc_phase_fm(rmos, imos, pbc_shift_cur - pbc_shift_src, &
    1492        25732 :                                               xkp(1:3, ik), matrix_s_kp(1, 1)%matrix)
    1493              :             END IF
    1494         1340 :             CALL cp_fm_to_cfm(rmos, imos, cmos_new)
    1495              : 
    1496              :             CALL cp_cfm_gemm('N', 'N', nao, nmo, nao, z_one, &
    1497         1340 :                              csmat_cur(ikp), cmos_new, z_zero, cfm_nao_nmo_work)
    1498              :             CALL cp_cfm_gemm('C', 'N', nmo, nmo, nao, z_one, &
    1499         1340 :                              cmos_new, cfm_nao_nmo_work, z_zero, csc_cfm)
    1500              : 
    1501         1340 :             CALL cp_cfm_cholesky_decompose(csc_cfm, info_out=chol_info)
    1502         1340 :             IF (chol_info == 0) THEN
    1503         1340 :                CALL cp_cfm_triangular_multiply(csc_cfm, cmos_new, side='R', invert_tr=.TRUE., uplo_tr='U')
    1504              :             ELSE
    1505            0 :                CALL cp_cfm_gemm('C', 'N', nmo, nmo, nao, z_one, cmos_new, cfm_nao_nmo_work, z_zero, csc_cfm)
    1506            0 :                CALL cp_cfm_create(cfm_evecs, csc_cfm%matrix_struct)
    1507            0 :                CALL cp_cfm_create(cfm_mhalf, csc_cfm%matrix_struct)
    1508            0 :                CALL cp_cfm_heevd(csc_cfm, cfm_evecs, eigenvalues)
    1509            0 :                CALL cp_cfm_to_cfm(cfm_evecs, cfm_mhalf)
    1510            0 :                ALLOCATE (col_scaling(nmo))
    1511            0 :                DO j = 1, nmo
    1512            0 :                   IF (eigenvalues(j) > eval_thresh) THEN
    1513            0 :                      col_scaling(j) = CMPLX(1.0_dp/SQRT(eigenvalues(j)), 0.0_dp, KIND=dp)
    1514              :                   ELSE
    1515            0 :                      col_scaling(j) = z_zero
    1516              :                   END IF
    1517              :                END DO
    1518            0 :                CALL cp_cfm_column_scale(cfm_mhalf, col_scaling)
    1519            0 :                DEALLOCATE (col_scaling)
    1520            0 :                CALL cp_cfm_gemm('N', 'C', nmo, nmo, nmo, z_one, cfm_mhalf, cfm_evecs, z_zero, csc_cfm)
    1521            0 :                CALL cp_cfm_gemm('N', 'N', nao, nmo, nmo, z_one, cmos_new, csc_cfm, z_zero, cfm_nao_nmo_work)
    1522            0 :                CALL cp_cfm_to_cfm(cfm_nao_nmo_work, cmos_new)
    1523            0 :                CALL cp_cfm_release(cfm_evecs)
    1524            0 :                CALL cp_cfm_release(cfm_mhalf)
    1525              :             END IF
    1526         3824 :             CALL cp_cfm_to_fm(cmos_new, rmos, imos)
    1527              :          END DO
    1528              :       END DO
    1529          442 :       DEALLOCATE (eigenvalues)
    1530              : 
    1531              :       ! Phase C: Rebuild Density Matrix P(R)
    1532          442 :       CALL kpoint_set_mo_occupation(kpoints, scf_control%smear)
    1533          442 :       CALL kpoint_density_matrices(kpoints)
    1534          442 :       CALL qs_rho_get(rho, rho_ao_kp=rho_ao_kp)
    1535              :       CALL kpoint_density_transform(kpoints, rho_ao_kp, .FALSE., &
    1536          442 :                                     matrix_s_kp(1, 1)%matrix, sab_nl, scf_env%scf_work1)
    1537          442 :       CALL qs_rho_update_rho(rho, qs_env=qs_env)
    1538          442 :       CALL qs_ks_did_change(qs_env%ks_env, rho_changed=.TRUE.)
    1539              : 
    1540              :       ! Cleanup
    1541         1586 :       DO ikp = 1, kplocal
    1542         1586 :          CALL cp_cfm_release(csmat_cur(ikp))
    1543              :       END DO
    1544          442 :       DEALLOCATE (csmat_cur)
    1545         4394 :       DEALLOCATE (info)
    1546          442 :       CALL cp_cfm_release(cmos_new)
    1547          442 :       CALL cp_cfm_release(cfm_nao_nmo_work)
    1548          442 :       CALL cp_cfm_release(csc_cfm)
    1549          442 :       CALL fm_pool_give_back_fm(ao_ao_fm_pools_kp(1)%pool, fmlocal)
    1550          442 :       CALL dbcsr_deallocate_matrix(rmatrix)
    1551          442 :       CALL dbcsr_deallocate_matrix(cmatrix_db)
    1552          442 :       CALL dbcsr_deallocate_matrix(tmpmat)
    1553          442 :       IF (ALLOCATED(pbc_shift_cur)) DEALLOCATE (pbc_shift_cur)
    1554          442 :       IF (ALLOCATED(pbc_shift_src)) DEALLOCATE (pbc_shift_src)
    1555              : 
    1556          442 :       CALL timestop(handle)
    1557         2652 :    END SUBROUTINE wfi_use_prev_wf_kp
    1558              : 
    1559              : ! **************************************************************************************************
    1560              : !> \brief Stores the internal PBC image shift used for k-point neighbor-list construction.
    1561              : !>        shift = scaled(pbc(r))-scaled(r), i.e. the integer image displacement caused by pbc().
    1562              : !> \param snapshot ...
    1563              : !> \param cell ...
    1564              : !> \param particle_set ...
    1565              : ! **************************************************************************************************
    1566         2868 :    SUBROUTINE wfi_store_kp_pbc_shift(snapshot, cell, particle_set)
    1567              :       TYPE(qs_wf_snapshot_type), POINTER                 :: snapshot
    1568              :       TYPE(cell_type), POINTER                           :: cell
    1569              :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
    1570              : 
    1571              :       INTEGER                                            :: iatom, natom
    1572              :       REAL(KIND=dp), DIMENSION(3)                        :: frac_pbc, frac_raw, r_pbc
    1573              : 
    1574         2868 :       CPASSERT(ASSOCIATED(snapshot))
    1575         2868 :       CPASSERT(ASSOCIATED(cell))
    1576         2868 :       CPASSERT(ASSOCIATED(particle_set))
    1577              : 
    1578         2868 :       natom = SIZE(particle_set)
    1579         2868 :       IF (ASSOCIATED(snapshot%kp_pbc_shift)) THEN
    1580          300 :          DEALLOCATE (snapshot%kp_pbc_shift)
    1581              :       END IF
    1582         8604 :       ALLOCATE (snapshot%kp_pbc_shift(3, natom))
    1583        15806 :       DO iatom = 1, natom
    1584        12938 :          r_pbc(1:3) = pbc(particle_set(iatom)%r(1:3), cell)
    1585        12938 :          CALL real_to_scaled(frac_raw, particle_set(iatom)%r(1:3), cell)
    1586        12938 :          CALL real_to_scaled(frac_pbc, r_pbc(1:3), cell)
    1587        54620 :          snapshot%kp_pbc_shift(1:3, iatom) = NINT(frac_pbc(1:3) - frac_raw(1:3))
    1588              :       END DO
    1589         2868 :    END SUBROUTINE wfi_store_kp_pbc_shift
    1590              : 
    1591              : ! **************************************************************************************************
    1592              : !> \brief Computes the current internal PBC image shift used by pbc().
    1593              : !> \param qs_env ...
    1594              : !> \param pbc_shift ...
    1595              : ! **************************************************************************************************
    1596          440 :    SUBROUTINE wfi_compute_kp_pbc_shift(qs_env, pbc_shift)
    1597              :       TYPE(qs_environment_type), POINTER                 :: qs_env
    1598              :       INTEGER, ALLOCATABLE, DIMENSION(:, :), INTENT(OUT) :: pbc_shift
    1599              : 
    1600              :       INTEGER                                            :: iatom, natom
    1601              :       REAL(KIND=dp), DIMENSION(3)                        :: frac_pbc, frac_raw, r_pbc
    1602              :       TYPE(cell_type), POINTER                           :: cell
    1603          440 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
    1604              : 
    1605          440 :       NULLIFY (cell, particle_set)
    1606          440 :       CALL get_qs_env(qs_env, cell=cell, particle_set=particle_set)
    1607          440 :       CPASSERT(ASSOCIATED(cell))
    1608          440 :       CPASSERT(ASSOCIATED(particle_set))
    1609              : 
    1610          440 :       natom = SIZE(particle_set)
    1611         1320 :       ALLOCATE (pbc_shift(3, natom))
    1612         3386 :       DO iatom = 1, natom
    1613         2946 :          r_pbc(1:3) = pbc(particle_set(iatom)%r(1:3), cell)
    1614         2946 :          CALL real_to_scaled(frac_raw, particle_set(iatom)%r(1:3), cell)
    1615         2946 :          CALL real_to_scaled(frac_pbc, r_pbc(1:3), cell)
    1616        12224 :          pbc_shift(1:3, iatom) = NINT(frac_pbc(1:3) - frac_raw(1:3))
    1617              :       END DO
    1618          440 :    END SUBROUTINE wfi_compute_kp_pbc_shift
    1619              : 
    1620              : ! **************************************************************************************************
    1621              : !> \brief Applies the atom-wise Bloch phase associated with a change of the internal
    1622              : !>        k-point PBC image convention to real/imaginary MO coefficient matrices.
    1623              : !> \param rmos real part of the MO coefficients
    1624              : !> \param imos imaginary part of the MO coefficients
    1625              : !> \param pbc_shift_delta target shift minus source shift for each atom
    1626              : !> \param xk fractional k-point coordinates
    1627              : !> \param matrix_template AO block structure used to map rows to atoms
    1628              : ! **************************************************************************************************
    1629         1332 :    SUBROUTINE wfi_apply_kp_pbc_phase_fm(rmos, imos, pbc_shift_delta, xk, matrix_template)
    1630              :       TYPE(cp_fm_type), POINTER                          :: rmos, imos
    1631              :       INTEGER, DIMENSION(:, :), INTENT(IN)               :: pbc_shift_delta
    1632              :       REAL(KIND=dp), DIMENSION(3), INTENT(IN)            :: xk
    1633              :       TYPE(dbcsr_type), POINTER                          :: matrix_template
    1634              : 
    1635              :       INTEGER                                            :: iatom, icol, irow, natom, nmo, nrow, &
    1636              :                                                             row_start
    1637         1332 :       INTEGER, DIMENSION(:), POINTER                     :: row_blk_size
    1638              :       REAL(KIND=dp)                                      :: ci, cr, i_old, r_old, theta
    1639         1332 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: iblock, rblock
    1640              : 
    1641            0 :       CPASSERT(ASSOCIATED(rmos))
    1642         1332 :       CPASSERT(ASSOCIATED(imos))
    1643         1332 :       CPASSERT(ASSOCIATED(matrix_template))
    1644              : 
    1645         1332 :       natom = SIZE(pbc_shift_delta, 2)
    1646         1332 :       CALL cp_fm_get_info(rmos, ncol_global=nmo)
    1647         1332 :       NULLIFY (row_blk_size)
    1648         1332 :       CALL dbcsr_get_info(matrix_template, row_blk_size=row_blk_size)
    1649         1332 :       CPASSERT(SIZE(row_blk_size) >= natom)
    1650              : 
    1651         1332 :       row_start = 1
    1652         7432 :       DO iatom = 1, natom
    1653         6100 :          nrow = row_blk_size(iatom)
    1654        24176 :          IF (ANY(pbc_shift_delta(1:3, iatom) /= 0)) THEN
    1655          528 :             theta = twopi*SUM(xk(1:3)*REAL(pbc_shift_delta(1:3, iatom), KIND=dp))
    1656          132 :             cr = COS(theta)
    1657          132 :             ci = SIN(theta)
    1658          792 :             ALLOCATE (rblock(nrow, nmo), iblock(nrow, nmo))
    1659          132 :             CALL cp_fm_get_submatrix(rmos, rblock, row_start, 1, nrow, nmo)
    1660          132 :             CALL cp_fm_get_submatrix(imos, iblock, row_start, 1, nrow, nmo)
    1661         4956 :             DO icol = 1, nmo
    1662        36612 :                DO irow = 1, nrow
    1663        31656 :                   r_old = rblock(irow, icol)
    1664        31656 :                   i_old = iblock(irow, icol)
    1665        31656 :                   rblock(irow, icol) = cr*r_old - ci*i_old
    1666        36480 :                   iblock(irow, icol) = ci*r_old + cr*i_old
    1667              :                END DO
    1668              :             END DO
    1669          132 :             CALL cp_fm_set_submatrix(rmos, rblock, row_start, 1, nrow, nmo)
    1670          132 :             CALL cp_fm_set_submatrix(imos, iblock, row_start, 1, nrow, nmo)
    1671          132 :             DEALLOCATE (rblock, iblock)
    1672              :          END IF
    1673         7432 :          row_start = row_start + nrow
    1674              :       END DO
    1675         2664 :    END SUBROUTINE wfi_apply_kp_pbc_phase_fm
    1676              : 
    1677              : ! **************************************************************************************************
    1678              : !> \brief Applies the atom-wise Bloch phase associated with a change of the internal
    1679              : !>        k-point PBC image convention to a complex MO coefficient matrix.
    1680              : !> \param cmos complex MO coefficients
    1681              : !> \param pbc_shift_delta target shift minus source shift for each atom
    1682              : !> \param xk fractional k-point coordinates
    1683              : !> \param matrix_template AO block structure used to map rows to atoms
    1684              : ! **************************************************************************************************
    1685         5344 :    SUBROUTINE wfi_apply_kp_pbc_phase_cfm(cmos, pbc_shift_delta, xk, matrix_template)
    1686              :       TYPE(cp_cfm_type), INTENT(INOUT)                   :: cmos
    1687              :       INTEGER, DIMENSION(:, :), INTENT(IN)               :: pbc_shift_delta
    1688              :       REAL(KIND=dp), DIMENSION(3), INTENT(IN)            :: xk
    1689              :       TYPE(dbcsr_type), POINTER                          :: matrix_template
    1690              : 
    1691              :       COMPLEX(KIND=dp)                                   :: phase
    1692         5344 :       COMPLEX(KIND=dp), ALLOCATABLE, DIMENSION(:, :)     :: zblock
    1693              :       INTEGER                                            :: iatom, natom, nmo, nrow, row_start
    1694         5344 :       INTEGER, DIMENSION(:), POINTER                     :: row_blk_size
    1695              :       REAL(KIND=dp)                                      :: theta
    1696              : 
    1697            0 :       CPASSERT(ASSOCIATED(matrix_template))
    1698              : 
    1699         5344 :       natom = SIZE(pbc_shift_delta, 2)
    1700         5344 :       CALL cp_cfm_get_info(cmos, ncol_global=nmo)
    1701         5344 :       NULLIFY (row_blk_size)
    1702         5344 :       CALL dbcsr_get_info(matrix_template, row_blk_size=row_blk_size)
    1703         5344 :       CPASSERT(SIZE(row_blk_size) >= natom)
    1704              : 
    1705         5344 :       row_start = 1
    1706        37244 :       DO iatom = 1, natom
    1707        31900 :          nrow = row_blk_size(iatom)
    1708       126768 :          IF (ANY(pbc_shift_delta(1:3, iatom) /= 0)) THEN
    1709         1856 :             theta = twopi*SUM(xk(1:3)*REAL(pbc_shift_delta(1:3, iatom), KIND=dp))
    1710          464 :             phase = CMPLX(COS(theta), SIN(theta), KIND=dp)
    1711         1856 :             ALLOCATE (zblock(nrow, nmo))
    1712          464 :             CALL cp_cfm_get_submatrix(cmos, zblock, row_start, 1, nrow, nmo)
    1713       197224 :             zblock = phase*zblock
    1714          464 :             CALL cp_cfm_set_submatrix(cmos, zblock, row_start, 1, nrow, nmo)
    1715          464 :             DEALLOCATE (zblock)
    1716              :          END IF
    1717        37244 :          row_start = row_start + nrow
    1718              :       END DO
    1719        10688 :    END SUBROUTINE wfi_apply_kp_pbc_phase_cfm
    1720              : 
    1721              : ! **************************************************************************************************
    1722              : !> \brief Performs PS/ASPC wavefunction extrapolation for k-point calculations.
    1723              : !>        Applies PS/ASPC coefficients to complex MO coefficients at each k-point,
    1724              : !>        with subspace alignment via historical overlap matrices.
    1725              : !>        Delegates final orthogonalization and density building to wfi_use_prev_wf_kp.
    1726              : !> \param wf_history  wavefunction history buffer
    1727              : !> \param qs_env      QS environment
    1728              : !> \param nvec        number of history snapshots to use
    1729              : !> \param io_unit     output unit for logging
    1730              : !> \param print_level current print level
    1731              : ! **************************************************************************************************
    1732          856 :    SUBROUTINE wfi_extrapolate_ps_aspc_kp(wf_history, qs_env, nvec, io_unit, print_level)
    1733              :       TYPE(qs_wf_history_type), POINTER                  :: wf_history
    1734              :       TYPE(qs_environment_type), POINTER                 :: qs_env
    1735              :       INTEGER, INTENT(IN)                                :: nvec, io_unit, print_level
    1736              : 
    1737              :       CHARACTER(len=*), PARAMETER :: routineN = 'wfi_extrapolate_ps_aspc_kp'
    1738              : 
    1739              :       INTEGER                                            :: handle, i, ik, ikp, ispin, kplocal, &
    1740              :                                                             method_nr, nao, nmo, nspin
    1741              :       INTEGER, DIMENSION(2)                              :: kp_range
    1742              :       LOGICAL                                            :: use_real_wfn
    1743              :       REAL(KIND=dp)                                      :: alpha_coeff
    1744          428 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: xkp
    1745              :       TYPE(cp_cfm_type)                                  :: cfm_nao_nmo_work, cmos_1, cmos_i, &
    1746              :                                                             cmos_new, csc_cfm
    1747              :       TYPE(cp_fm_struct_type), POINTER                   :: nmo_nmo_struct
    1748              :       TYPE(cp_fm_type), POINTER                          :: imos, mo_coeff, rmos
    1749          428 :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: matrix_s_kp
    1750              :       TYPE(kpoint_env_type), POINTER                     :: kp
    1751              :       TYPE(kpoint_type), POINTER                         :: kpoints
    1752              :       TYPE(qs_wf_snapshot_type), POINTER                 :: t0_state, t1_state
    1753              : 
    1754          428 :       method_nr = wf_history%interpolation_method_nr
    1755              : 
    1756          428 :       CALL timeset(routineN, handle)
    1757          428 :       NULLIFY (kpoints, kp, mo_coeff, rmos, imos, t0_state, t1_state, nmo_nmo_struct, &
    1758          428 :                matrix_s_kp, xkp)
    1759              : 
    1760          428 :       CALL get_qs_env(qs_env, kpoints=kpoints, matrix_s_kp=matrix_s_kp)
    1761          428 :       CALL get_kpoint_info(kpoints, use_real_wfn=use_real_wfn, kp_range=kp_range, xkp=xkp)
    1762          428 :       kplocal = kp_range(2) - kp_range(1) + 1
    1763              : 
    1764          428 :       IF (use_real_wfn) THEN
    1765            0 :          IF (method_nr == wfi_aspc_nr) THEN
    1766              :             CALL cp_warn(__LOCATION__, "ASPC with k-points requires complex wavefunctions; "// &
    1767            0 :                          "falling back to USE_PREV_WF.")
    1768              :          ELSE
    1769              :             CALL cp_warn(__LOCATION__, "PS with k-points requires complex wavefunctions; "// &
    1770            0 :                          "falling back to USE_PREV_WF.")
    1771              :          END IF
    1772            0 :          CALL wfi_use_prev_wf_kp(qs_env, io_unit, print_level)
    1773            0 :          CALL timestop(handle)
    1774            0 :          RETURN
    1775              :       END IF
    1776              : 
    1777          428 :       kp => kpoints%kp_env(1)%kpoint_env
    1778          428 :       nspin = SIZE(kp%mos, 2)
    1779          428 :       CALL get_mo_set(kp%mos(1, 1), nao=nao, nmo=nmo, mo_coeff=mo_coeff)
    1780              : 
    1781          428 :       IF (method_nr == wfi_aspc_nr) THEN
    1782          424 :          IF ((io_unit > 0) .AND. (print_level > low_print_level)) THEN
    1783              :             WRITE (UNIT=io_unit, FMT="(/,T2,A,/,T3,A,I0)") &
    1784           42 :                "Parameters for the always stable predictor-corrector (ASPC) method:", &
    1785           84 :                "ASPC order: ", MAX(nvec - 2, 0)
    1786              :          END IF
    1787              :       END IF
    1788              : 
    1789           16 :       IF (method_nr == wfi_aspc_nr) THEN
    1790          424 :          CALL cp_cfm_create(cmos_new, mo_coeff%matrix_struct, set_zero=.TRUE.)
    1791          424 :          CALL cp_cfm_create(cmos_1, mo_coeff%matrix_struct, set_zero=.TRUE.)
    1792          424 :          CALL cp_cfm_create(cmos_i, mo_coeff%matrix_struct, set_zero=.TRUE.)
    1793          424 :          CALL cp_cfm_create(cfm_nao_nmo_work, mo_coeff%matrix_struct, set_zero=.TRUE.)
    1794              :       ELSE
    1795            4 :          CALL cp_cfm_create(cmos_new, mo_coeff%matrix_struct)
    1796            4 :          CALL cp_cfm_create(cmos_1, mo_coeff%matrix_struct)
    1797            4 :          CALL cp_cfm_create(cmos_i, mo_coeff%matrix_struct)
    1798            4 :          CALL cp_cfm_create(cfm_nao_nmo_work, mo_coeff%matrix_struct)
    1799              :       END IF
    1800              : 
    1801              :       CALL cp_fm_struct_create(nmo_nmo_struct, template_fmstruct=mo_coeff%matrix_struct, &
    1802          428 :                                nrow_global=nmo, ncol_global=nmo)
    1803          428 :       IF (method_nr == wfi_aspc_nr) THEN
    1804          424 :          CALL cp_cfm_create(csc_cfm, nmo_nmo_struct, set_zero=.TRUE.)
    1805              :       ELSE
    1806            4 :          CALL cp_cfm_create(csc_cfm, nmo_nmo_struct)
    1807              :       END IF
    1808          428 :       CALL cp_fm_struct_release(nmo_nmo_struct)
    1809              : 
    1810              :       ! Phase 1: Initialize C_new(k) = B(1) * C_1(k)
    1811          428 :       t1_state => wfi_get_snapshot(wf_history, wf_index=1)
    1812          428 :       IF (method_nr == wfi_aspc_nr) THEN
    1813          424 :          alpha_coeff = REAL(4*nvec - 2, KIND=dp)/REAL(nvec + 1, KIND=dp)
    1814          424 :          IF ((io_unit > 0) .AND. (print_level > low_print_level)) THEN
    1815           42 :             WRITE (UNIT=io_unit, FMT="(T3,A2,I0,A4,F10.6)") "B(", 1, ") = ", alpha_coeff
    1816              :          END IF
    1817              :       ELSE
    1818            4 :          alpha_coeff = nvec
    1819              :       END IF
    1820              : 
    1821         1516 :       DO ikp = 1, kplocal
    1822         1088 :          kp => kpoints%kp_env(ikp)%kpoint_env
    1823         2800 :          DO ispin = 1, nspin
    1824         1284 :             CALL get_mo_set(kp%mos(1, ispin), mo_coeff=rmos)
    1825         1284 :             CALL get_mo_set(kp%mos(2, ispin), mo_coeff=imos)
    1826         1284 :             CALL cp_fm_to_fm(t1_state%wf_kp(ikp, 1, ispin), rmos)
    1827         1284 :             CALL cp_fm_to_fm(t1_state%wf_kp(ikp, 2, ispin), imos)
    1828         1284 :             CALL cp_fm_scale(alpha_coeff, rmos)
    1829         2372 :             CALL cp_fm_scale(alpha_coeff, imos)
    1830              :          END DO
    1831              :       END DO
    1832              : 
    1833              :       ! Phase 2: Accumulate historical snapshots C_new += B(i) * C_proj(k)
    1834         1740 :       DO i = 2, nvec
    1835         1312 :          t0_state => wfi_get_snapshot(wf_history, wf_index=i)
    1836         1312 :          IF (method_nr == wfi_aspc_nr) THEN
    1837              :             alpha_coeff = (-1.0_dp)**(i + 1)*REAL(i, KIND=dp)* &
    1838         1310 :                           binomial(2*nvec, nvec - i)/binomial(2*nvec - 2, nvec - 1)
    1839         1310 :             IF ((io_unit > 0) .AND. (print_level > low_print_level)) THEN
    1840           71 :                WRITE (UNIT=io_unit, FMT="(T3,A2,I0,A4,F10.6)") "B(", i, ") = ", alpha_coeff
    1841              :             END IF
    1842              :          ELSE
    1843            2 :             alpha_coeff = -1.0_dp*alpha_coeff*REAL(nvec - i + 1, dp)/REAL(i, dp)
    1844              :          END IF
    1845              : 
    1846         4268 :          DO ikp = 1, kplocal
    1847         2528 :             kp => kpoints%kp_env(ikp)%kpoint_env
    1848         6464 :             DO ispin = 1, nspin
    1849         2624 :                ik = kp_range(1) + ikp - 1
    1850         2624 :                CALL cp_fm_to_cfm(t1_state%wf_kp(ikp, 1, ispin), t1_state%wf_kp(ikp, 2, ispin), cmos_1)
    1851         2624 :                CALL cp_fm_to_cfm(t0_state%wf_kp(ikp, 1, ispin), t0_state%wf_kp(ikp, 2, ispin), cmos_i)
    1852              : 
    1853              :                ! Express the reference snapshot in the image convention of snapshot i,
    1854              :                ! because the historical overlap below belongs to snapshot i.
    1855              :                CALL wfi_apply_kp_pbc_phase_cfm(cmos_1, t0_state%kp_pbc_shift - t1_state%kp_pbc_shift, &
    1856        64888 :                                                xkp(1:3, ik), matrix_s_kp(1, 1)%matrix)
    1857              : 
    1858              :                ! Subspace projection: C_proj = C_i * (C_i^dag S_i C_1)
    1859              :                CALL cp_cfm_gemm('N', 'N', nao, nmo, nao, z_one, &
    1860         2624 :                                 t0_state%overlap_cfm_kp(ikp), cmos_1, z_zero, cfm_nao_nmo_work)
    1861              :                CALL cp_cfm_gemm('C', 'N', nmo, nmo, nao, z_one, &
    1862         2624 :                                 cmos_i, cfm_nao_nmo_work, z_zero, csc_cfm)
    1863              :                CALL cp_cfm_gemm('N', 'N', nao, nmo, nmo, z_one, &
    1864         2624 :                                 cmos_i, csc_cfm, z_zero, cfm_nao_nmo_work)
    1865              : 
    1866              :                ! Convert the projected contribution from snapshot i to the reference
    1867              :                ! image convention of snapshot 1. The final conversion to the current
    1868              :                ! convention is centralized in wfi_use_prev_wf_kp.
    1869              :                CALL wfi_apply_kp_pbc_phase_cfm(cfm_nao_nmo_work, t1_state%kp_pbc_shift - t0_state%kp_pbc_shift, &
    1870        64888 :                                                xkp(1:3, ik), matrix_s_kp(1, 1)%matrix)
    1871              : 
    1872         2624 :                CALL get_mo_set(kp%mos(1, ispin), mo_coeff=rmos)
    1873         2624 :                CALL get_mo_set(kp%mos(2, ispin), mo_coeff=imos)
    1874         2624 :                CALL cp_fm_to_cfm(rmos, imos, cmos_new)
    1875         2624 :                CALL cp_cfm_scale_and_add(z_one, cmos_new, CMPLX(alpha_coeff, 0.0_dp, KIND=dp), cfm_nao_nmo_work)
    1876         5152 :                CALL cp_cfm_to_fm(cmos_new, rmos, imos)
    1877              :             END DO
    1878              :          END DO
    1879              :       END DO
    1880              : 
    1881          428 :       CALL cp_cfm_release(cmos_new)
    1882          428 :       CALL cp_cfm_release(cmos_1)
    1883          428 :       CALL cp_cfm_release(cmos_i)
    1884          428 :       CALL cp_cfm_release(cfm_nao_nmo_work)
    1885          428 :       CALL cp_cfm_release(csc_cfm)
    1886              : 
    1887              :       ! Phase 3: Convert the extrapolated WFN from the reference snapshot image
    1888              :       ! convention to the current k-point PBC convention, then reorthogonalize and
    1889              :       ! rebuild the density. Keep the actual phase handling centralized in
    1890              :       ! wfi_use_prev_wf_kp so that USE_PREV_WF and ASPC/PS share the same path.
    1891              :       CALL wfi_use_prev_wf_kp(qs_env, 0, print_level, pbc_shift_ref=t1_state%kp_pbc_shift, &
    1892          428 :                               load_snapshot_wf=.FALSE.)
    1893              : 
    1894          428 :       CALL timestop(handle)
    1895              : 
    1896          428 :    END SUBROUTINE wfi_extrapolate_ps_aspc_kp
    1897              : 
    1898              : ! **************************************************************************************************
    1899              : !> \brief GEXT_PROJ/GEXT_PROJ_QTR wavefunction extrapolation for complex k-points.
    1900              : !>        This follows the existing ASPC/PS k-point projection path, but uses
    1901              : !>        the GEXT-fitted coefficients.
    1902              : !> \param wf_history wavefunction history buffer
    1903              : !> \param qs_env The QS environment
    1904              : !> \param nvec number of previous wavefunctions
    1905              : !> \param io_unit output unit
    1906              : !> \param print_level current print level
    1907              : ! **************************************************************************************************
    1908            8 :    SUBROUTINE wfi_extrapolate_gext_proj_kp(wf_history, qs_env, nvec, io_unit, print_level)
    1909              :       TYPE(qs_wf_history_type), POINTER                  :: wf_history
    1910              :       TYPE(qs_environment_type), POINTER                 :: qs_env
    1911              :       INTEGER, INTENT(IN)                                :: nvec, io_unit, print_level
    1912              : 
    1913              :       CHARACTER(len=*), PARAMETER :: routineN = 'wfi_extrapolate_gext_proj_kp'
    1914              : 
    1915              :       INTEGER                                            :: handle, i, igroup, ik, ikp, indx, ispin, &
    1916              :                                                             kplocal, method_nr, nao, nkp, &
    1917              :                                                             nkp_groups, nmo, nspin
    1918              :       INTEGER, DIMENSION(2)                              :: kp_range
    1919            8 :       INTEGER, DIMENSION(:, :), POINTER                  :: kp_dist
    1920            8 :       INTEGER, DIMENSION(:, :, :), POINTER               :: cell_to_index
    1921              :       LOGICAL                                            :: my_kpgrp, use_real_wfn
    1922            8 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: coeffs, weight_kp
    1923            8 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: wkp
    1924            8 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: xkp
    1925            8 :       TYPE(copy_info_type), ALLOCATABLE, DIMENSION(:, :) :: info
    1926              :       TYPE(cp_cfm_type)                                  :: cfm_nao_nmo_work, cmos_1, cmos_i, &
    1927              :                                                             cmos_new, csc_cfm
    1928            8 :       TYPE(cp_cfm_type), ALLOCATABLE, DIMENSION(:)       :: csmat_cur
    1929            8 :       TYPE(cp_fm_pool_p_type), DIMENSION(:), POINTER     :: ao_ao_fm_pools_kp
    1930              :       TYPE(cp_fm_struct_type), POINTER                   :: ao_ao_struct, nmo_nmo_struct
    1931              :       TYPE(cp_fm_type)                                   :: fmdummy, fmlocal
    1932              :       TYPE(cp_fm_type), POINTER                          :: imos, mo_coeff, rmos
    1933            8 :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: matrix_s_kp
    1934              :       TYPE(dbcsr_type), POINTER                          :: cmatrix_db, rmatrix, tmpmat
    1935              :       TYPE(kpoint_env_type), POINTER                     :: kp
    1936              :       TYPE(kpoint_type), POINTER                         :: kpoints
    1937              :       TYPE(mp_para_env_type), POINTER                    :: para_env, para_env_inter_kp
    1938              :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
    1939            8 :          POINTER                                         :: sab_nl
    1940              :       TYPE(qs_matrix_pools_type), POINTER                :: mpools_kp
    1941              :       TYPE(qs_scf_env_type), POINTER                     :: scf_env
    1942              :       TYPE(qs_wf_snapshot_type), POINTER                 :: t0_state, t1_state
    1943              : 
    1944            8 :       method_nr = wf_history%interpolation_method_nr
    1945              : 
    1946            8 :       CALL timeset(routineN, handle)
    1947            8 :       NULLIFY (ao_ao_struct, cell_to_index, cmatrix_db, imos, kp, kpoints, matrix_s_kp, &
    1948            8 :                mo_coeff, mpools_kp, para_env, para_env_inter_kp, rmatrix, rmos, sab_nl, &
    1949            8 :                scf_env, t0_state, t1_state, tmpmat, xkp, kp_dist, wkp, nmo_nmo_struct, &
    1950            8 :                ao_ao_fm_pools_kp)
    1951              : 
    1952            8 :       CALL get_qs_env(qs_env, kpoints=kpoints, matrix_s_kp=matrix_s_kp, scf_env=scf_env)
    1953              :       CALL get_kpoint_info(kpoints, use_real_wfn=use_real_wfn, kp_range=kp_range, &
    1954              :                            nkp=nkp, xkp=xkp, wkp=wkp, nkp_groups=nkp_groups, &
    1955              :                            kp_dist=kp_dist, cell_to_index=cell_to_index, sab_nl=sab_nl, &
    1956            8 :                            mpools=mpools_kp, para_env_inter_kp=para_env_inter_kp)
    1957            8 :       kplocal = kp_range(2) - kp_range(1) + 1
    1958              : 
    1959            8 :       IF (use_real_wfn) THEN
    1960              :          CALL cp_warn(__LOCATION__, "GExt with k-points requires complex wavefunctions; "// &
    1961            0 :                       "falling back to USE_PREV_WF.")
    1962            0 :          CALL wfi_use_prev_wf_kp(qs_env, io_unit, print_level)
    1963            0 :          CALL timestop(handle)
    1964            0 :          RETURN
    1965              :       END IF
    1966              : 
    1967            8 :       IF (nvec >= wf_history%memory_depth) THEN
    1968            0 :          IF ((qs_env%scf_control%max_scf_hist /= 0) .AND. &
    1969              :              (qs_env%scf_control%eps_scf_hist /= 0)) THEN
    1970            0 :             qs_env%scf_control%max_scf = qs_env%scf_control%max_scf_hist
    1971            0 :             qs_env%scf_control%eps_scf = qs_env%scf_control%eps_scf_hist
    1972            0 :             qs_env%scf_control%outer_scf%have_scf = .FALSE.
    1973            0 :          ELSE IF (qs_env%scf_control%max_scf_hist /= 0) THEN
    1974            0 :             qs_env%scf_control%max_scf = qs_env%scf_control%max_scf_hist
    1975            0 :             qs_env%scf_control%outer_scf%have_scf = .FALSE.
    1976            0 :          ELSE IF (qs_env%scf_control%eps_scf_hist /= 0) THEN
    1977            0 :             qs_env%scf_control%eps_scf = qs_env%scf_control%eps_scf_hist
    1978              :          END IF
    1979              :       END IF
    1980              : 
    1981            8 :       kp => kpoints%kp_env(1)%kpoint_env
    1982            8 :       nspin = SIZE(kp%mos, 2)
    1983            8 :       CALL get_mo_set(kp%mos(1, 1), nao=nao, nmo=nmo, mo_coeff=mo_coeff)
    1984              : 
    1985              :       ! Build the current S(k), using the same Fourier-transform pattern as
    1986              :       ! wfi_use_prev_wf_kp.  This is only needed for the GEXT coefficient fitting.
    1987            8 :       ALLOCATE (rmatrix, cmatrix_db, tmpmat)
    1988            8 :       CALL dbcsr_create(rmatrix, template=matrix_s_kp(1, 1)%matrix, matrix_type=dbcsr_type_symmetric)
    1989            8 :       CALL dbcsr_create(cmatrix_db, template=matrix_s_kp(1, 1)%matrix, matrix_type=dbcsr_type_antisymmetric)
    1990            8 :       CALL dbcsr_create(tmpmat, template=matrix_s_kp(1, 1)%matrix, matrix_type=dbcsr_type_no_symmetry)
    1991            8 :       CALL cp_dbcsr_alloc_block_from_nbl(rmatrix, sab_nl)
    1992            8 :       CALL cp_dbcsr_alloc_block_from_nbl(cmatrix_db, sab_nl)
    1993              : 
    1994            8 :       CALL mpools_get(mpools_kp, ao_ao_fm_pools=ao_ao_fm_pools_kp)
    1995            8 :       CALL fm_pool_create_fm(ao_ao_fm_pools_kp(1)%pool, fmlocal)
    1996            8 :       CALL cp_fm_get_info(fmlocal, matrix_struct=ao_ao_struct)
    1997              : 
    1998            8 :       para_env => kpoints%blacs_env_all%para_env
    1999          152 :       ALLOCATE (info(kplocal*nkp_groups, 2))
    2000           72 :       ALLOCATE (csmat_cur(kplocal), weight_kp(kplocal))
    2001           40 :       DO ikp = 1, kplocal
    2002           32 :          CALL cp_cfm_create(csmat_cur(ikp), ao_ao_struct)
    2003           40 :          weight_kp(ikp) = wkp(kp_range(1) + ikp - 1)
    2004              :       END DO
    2005              : 
    2006              :       indx = 0
    2007           40 :       DO ikp = 1, kplocal
    2008           72 :          DO igroup = 1, nkp_groups
    2009           32 :             ik = kp_dist(1, igroup) + ikp - 1
    2010           32 :             my_kpgrp = (ik >= kp_range(1) .AND. ik <= kp_range(2))
    2011           32 :             indx = indx + 1
    2012              : 
    2013           32 :             CALL dbcsr_set(rmatrix, 0.0_dp)
    2014           32 :             CALL dbcsr_set(cmatrix_db, 0.0_dp)
    2015              :             CALL rskp_transform(rmatrix=rmatrix, cmatrix=cmatrix_db, rsmat=matrix_s_kp, &
    2016           32 :                                 ispin=1, xkp=xkp(1:3, ik), cell_to_index=cell_to_index, sab_nl=sab_nl)
    2017           32 :             CALL dbcsr_desymmetrize(rmatrix, tmpmat)
    2018           32 :             CALL copy_dbcsr_to_fm(tmpmat, scf_env%scf_work1(1))
    2019           32 :             CALL dbcsr_desymmetrize(cmatrix_db, tmpmat)
    2020           32 :             CALL copy_dbcsr_to_fm(tmpmat, scf_env%scf_work1(2))
    2021              : 
    2022           64 :             IF (my_kpgrp) THEN
    2023           32 :                CALL cp_fm_start_copy_general(scf_env%scf_work1(1), fmlocal, para_env, info(indx, 1))
    2024           32 :                CALL cp_fm_start_copy_general(scf_env%scf_work1(2), fmlocal, para_env, info(indx, 2))
    2025              :             ELSE
    2026            0 :                CALL cp_fm_start_copy_general(scf_env%scf_work1(1), fmdummy, para_env, info(indx, 1))
    2027            0 :                CALL cp_fm_start_copy_general(scf_env%scf_work1(2), fmdummy, para_env, info(indx, 2))
    2028              :             END IF
    2029              :          END DO
    2030              :       END DO
    2031              : 
    2032              :       indx = 0
    2033           40 :       DO ikp = 1, kplocal
    2034           72 :          DO igroup = 1, nkp_groups
    2035           32 :             ik = kp_dist(1, igroup) + ikp - 1
    2036           32 :             my_kpgrp = (ik >= kp_range(1) .AND. ik <= kp_range(2))
    2037            0 :             indx = indx + 1
    2038           32 :             IF (my_kpgrp) THEN
    2039           32 :                CALL cp_fm_finish_copy_general(fmlocal, info(indx, 1))
    2040           32 :                CALL cp_cfm_scale_and_add_fm(z_zero, csmat_cur(ikp), z_one, fmlocal)
    2041           32 :                CALL cp_fm_finish_copy_general(fmlocal, info(indx, 2))
    2042           32 :                CALL cp_cfm_scale_and_add_fm(z_one, csmat_cur(ikp), gaussi, fmlocal)
    2043              :             END IF
    2044              :          END DO
    2045              :       END DO
    2046              : 
    2047           40 :       DO indx = 1, kplocal*nkp_groups
    2048           32 :          CALL cp_fm_cleanup_copy_general(info(indx, 1))
    2049           40 :          CALL cp_fm_cleanup_copy_general(info(indx, 2))
    2050              :       END DO
    2051              : 
    2052           24 :       ALLOCATE (coeffs(nvec))
    2053            8 :       IF (method_nr == wfi_gext_proj_nr) THEN
    2054              :          CALL diff_fitting(wf_history, matrix_s_kp(1, 1)%matrix, coeffs, nvec, &
    2055              :                            1e-4_dp, io_unit, print_level, current_overlap_kp=csmat_cur, &
    2056            4 :                            kpoint_weights=weight_kp, para_env_inter_kp=para_env_inter_kp)
    2057              :       ELSE
    2058              :          CALL tr_fitting(wf_history, matrix_s_kp(1, 1)%matrix, coeffs, nvec, &
    2059              :                          1e-4_dp, io_unit, print_level, current_overlap_kp=csmat_cur, &
    2060            4 :                          kpoint_weights=weight_kp, para_env_inter_kp=para_env_inter_kp)
    2061              :       END IF
    2062              : 
    2063              :       ! Accumulate the extrapolated WFN using the same projected-WFN path as ASPC/PS.
    2064            8 :       CALL cp_cfm_create(cmos_new, mo_coeff%matrix_struct)
    2065            8 :       CALL cp_cfm_create(cmos_1, mo_coeff%matrix_struct)
    2066            8 :       CALL cp_cfm_create(cmos_i, mo_coeff%matrix_struct)
    2067            8 :       CALL cp_cfm_create(cfm_nao_nmo_work, mo_coeff%matrix_struct)
    2068              :       CALL cp_fm_struct_create(nmo_nmo_struct, template_fmstruct=mo_coeff%matrix_struct, &
    2069            8 :                                nrow_global=nmo, ncol_global=nmo)
    2070            8 :       CALL cp_cfm_create(csc_cfm, nmo_nmo_struct)
    2071            8 :       CALL cp_fm_struct_release(nmo_nmo_struct)
    2072              : 
    2073            8 :       t1_state => wfi_get_snapshot(wf_history, wf_index=1)
    2074           40 :       DO ikp = 1, kplocal
    2075           32 :          kp => kpoints%kp_env(ikp)%kpoint_env
    2076           72 :          DO ispin = 1, nspin
    2077           32 :             CALL get_mo_set(kp%mos(1, ispin), mo_coeff=rmos)
    2078           32 :             CALL get_mo_set(kp%mos(2, ispin), mo_coeff=imos)
    2079           32 :             CALL cp_fm_set_all(rmos, 0.0_dp)
    2080           64 :             CALL cp_fm_set_all(imos, 0.0_dp)
    2081              :          END DO
    2082              :       END DO
    2083              : 
    2084           20 :       DO i = 1, nvec
    2085           12 :          t0_state => wfi_get_snapshot(wf_history, wf_index=i)
    2086           68 :          DO ikp = 1, kplocal
    2087           48 :             kp => kpoints%kp_env(ikp)%kpoint_env
    2088           48 :             ik = kp_range(1) + ikp - 1
    2089          108 :             DO ispin = 1, nspin
    2090           48 :                CALL cp_fm_to_cfm(t1_state%wf_kp(ikp, 1, ispin), t1_state%wf_kp(ikp, 2, ispin), cmos_1)
    2091           48 :                CALL cp_fm_to_cfm(t0_state%wf_kp(ikp, 1, ispin), t0_state%wf_kp(ikp, 2, ispin), cmos_i)
    2092              : 
    2093              :                CALL wfi_apply_kp_pbc_phase_cfm(cmos_1, t0_state%kp_pbc_shift - t1_state%kp_pbc_shift, &
    2094         1584 :                                                xkp(1:3, ik), matrix_s_kp(1, 1)%matrix)
    2095              : 
    2096              :                CALL cp_cfm_gemm('N', 'N', nao, nmo, nao, z_one, &
    2097           48 :                                 t0_state%overlap_cfm_kp(ikp), cmos_1, z_zero, cfm_nao_nmo_work)
    2098              :                CALL cp_cfm_gemm('C', 'N', nmo, nmo, nao, z_one, &
    2099           48 :                                 cmos_i, cfm_nao_nmo_work, z_zero, csc_cfm)
    2100              :                CALL cp_cfm_gemm('N', 'N', nao, nmo, nmo, z_one, &
    2101           48 :                                 cmos_i, csc_cfm, z_zero, cfm_nao_nmo_work)
    2102              : 
    2103              :                CALL wfi_apply_kp_pbc_phase_cfm(cfm_nao_nmo_work, t1_state%kp_pbc_shift - t0_state%kp_pbc_shift, &
    2104         1584 :                                                xkp(1:3, ik), matrix_s_kp(1, 1)%matrix)
    2105              : 
    2106           48 :                CALL get_mo_set(kp%mos(1, ispin), mo_coeff=rmos)
    2107           48 :                CALL get_mo_set(kp%mos(2, ispin), mo_coeff=imos)
    2108           48 :                CALL cp_fm_to_cfm(rmos, imos, cmos_new)
    2109           48 :                CALL cp_cfm_scale_and_add(z_one, cmos_new, CMPLX(coeffs(i), 0.0_dp, KIND=dp), cfm_nao_nmo_work)
    2110           96 :                CALL cp_cfm_to_fm(cmos_new, rmos, imos)
    2111              :             END DO
    2112              :          END DO
    2113              :       END DO
    2114              : 
    2115            8 :       CALL cp_cfm_release(cmos_new)
    2116            8 :       CALL cp_cfm_release(cmos_1)
    2117            8 :       CALL cp_cfm_release(cmos_i)
    2118            8 :       CALL cp_cfm_release(cfm_nao_nmo_work)
    2119            8 :       CALL cp_cfm_release(csc_cfm)
    2120              : 
    2121              :       CALL wfi_use_prev_wf_kp(qs_env, 0, print_level, pbc_shift_ref=t1_state%kp_pbc_shift, &
    2122            8 :                               load_snapshot_wf=.FALSE.)
    2123              : 
    2124           40 :       DO ikp = 1, kplocal
    2125           40 :          CALL cp_cfm_release(csmat_cur(ikp))
    2126              :       END DO
    2127           72 :       DEALLOCATE (csmat_cur, coeffs, weight_kp, info)
    2128            8 :       CALL fm_pool_give_back_fm(ao_ao_fm_pools_kp(1)%pool, fmlocal)
    2129            8 :       CALL dbcsr_deallocate_matrix(rmatrix)
    2130            8 :       CALL dbcsr_deallocate_matrix(cmatrix_db)
    2131            8 :       CALL dbcsr_deallocate_matrix(tmpmat)
    2132              : 
    2133            8 :       CALL timestop(handle)
    2134              : 
    2135           48 :    END SUBROUTINE wfi_extrapolate_gext_proj_kp
    2136              : 
    2137              : ! **************************************************************************************************
    2138              : !> \brief Decides if scf control variables has to changed due
    2139              : !>      to using a WF extrapolation.
    2140              : !> \param qs_env The QS environment
    2141              : !> \param nvec ...
    2142              : !> \par History
    2143              : !>      11.2006 created [TdK]
    2144              : !> \author Thomas D. Kuehne (tkuehne@phys.chem.ethz.ch)
    2145              : ! **************************************************************************************************
    2146        11051 :    ELEMENTAL SUBROUTINE wfi_set_history_variables(qs_env, nvec)
    2147              :       TYPE(qs_environment_type), INTENT(INOUT)           :: qs_env
    2148              :       INTEGER, INTENT(IN)                                :: nvec
    2149              : 
    2150        11051 :       IF (nvec >= qs_env%wf_history%memory_depth) THEN
    2151         1693 :          IF ((qs_env%scf_control%max_scf_hist /= 0) .AND. (qs_env%scf_control%eps_scf_hist /= 0)) THEN
    2152            0 :             qs_env%scf_control%max_scf = qs_env%scf_control%max_scf_hist
    2153            0 :             qs_env%scf_control%eps_scf = qs_env%scf_control%eps_scf_hist
    2154            0 :             qs_env%scf_control%outer_scf%have_scf = .FALSE.
    2155         1693 :          ELSE IF (qs_env%scf_control%max_scf_hist /= 0) THEN
    2156            0 :             qs_env%scf_control%max_scf = qs_env%scf_control%max_scf_hist
    2157            0 :             qs_env%scf_control%outer_scf%have_scf = .FALSE.
    2158         1693 :          ELSE IF (qs_env%scf_control%eps_scf_hist /= 0) THEN
    2159            0 :             qs_env%scf_control%eps_scf = qs_env%scf_control%eps_scf_hist
    2160            0 :             qs_env%scf_control%outer_scf%eps_scf = qs_env%scf_control%eps_scf_hist
    2161              :          END IF
    2162              :       END IF
    2163              : 
    2164        11051 :    END SUBROUTINE wfi_set_history_variables
    2165              : 
    2166              : ! **************************************************************************************************
    2167              : !> \brief updates the snapshot buffer, taking a new snapshot
    2168              : !> \param wf_history the history buffer to update
    2169              : !> \param qs_env the qs_env we get the info from
    2170              : !> \param dt ...
    2171              : !> \par History
    2172              : !>      02.2003 created [fawzi]
    2173              : !> \author fawzi
    2174              : ! **************************************************************************************************
    2175        26459 :    SUBROUTINE wfi_update(wf_history, qs_env, dt)
    2176              :       TYPE(qs_wf_history_type), POINTER                  :: wf_history
    2177              :       TYPE(qs_environment_type), POINTER                 :: qs_env
    2178              :       REAL(KIND=dp), INTENT(in)                          :: dt
    2179              : 
    2180        26459 :       CPASSERT(ASSOCIATED(wf_history))
    2181        26459 :       CPASSERT(wf_history%ref_count > 0)
    2182        26459 :       CPASSERT(ASSOCIATED(qs_env))
    2183              : 
    2184        26459 :       wf_history%snapshot_count = wf_history%snapshot_count + 1
    2185        26459 :       IF (wf_history%memory_depth > 0) THEN
    2186              :          wf_history%last_state_index = MODULO(wf_history%snapshot_count, &
    2187        25264 :                                               wf_history%memory_depth) + 1
    2188              :          CALL wfs_update(snapshot=wf_history%past_states &
    2189              :                          (wf_history%last_state_index)%snapshot, wf_history=wf_history, &
    2190        25264 :                          qs_env=qs_env, dt=dt)
    2191              :       END IF
    2192        26459 :    END SUBROUTINE wfi_update
    2193              : 
    2194              : ! **************************************************************************************************
    2195              : !> \brief reorthogonalizes the mos
    2196              : !> \param qs_env the qs_env in which to orthogonalize
    2197              : !> \param v_matrix the vectors to orthogonalize
    2198              : !> \param n_col number of column of v to orthogonalize
    2199              : !> \par History
    2200              : !>      04.2003 created [fawzi]
    2201              : !> \author Fawzi Mohamed
    2202              : ! **************************************************************************************************
    2203        33670 :    SUBROUTINE reorthogonalize_vectors(qs_env, v_matrix, n_col)
    2204              :       TYPE(qs_environment_type), POINTER                 :: qs_env
    2205              :       TYPE(cp_fm_type), INTENT(IN)                       :: v_matrix
    2206              :       INTEGER, INTENT(in), OPTIONAL                      :: n_col
    2207              : 
    2208              :       CHARACTER(len=*), PARAMETER :: routineN = 'reorthogonalize_vectors'
    2209              : 
    2210              :       INTEGER                                            :: handle, my_n_col
    2211              :       LOGICAL                                            :: has_unit_metric, &
    2212              :                                                             ortho_contains_cholesky, &
    2213              :                                                             smearing_is_used
    2214              :       TYPE(cp_fm_pool_type), POINTER                     :: maxao_maxmo_fm_pool
    2215        16835 :       TYPE(dbcsr_p_type), DIMENSION(:), POINTER          :: matrix_s
    2216              :       TYPE(dft_control_type), POINTER                    :: dft_control
    2217              :       TYPE(qs_matrix_pools_type), POINTER                :: mpools
    2218              :       TYPE(qs_scf_env_type), POINTER                     :: scf_env
    2219              :       TYPE(scf_control_type), POINTER                    :: scf_control
    2220              : 
    2221        16835 :       NULLIFY (scf_env, scf_control, maxao_maxmo_fm_pool, matrix_s, mpools, dft_control)
    2222        16835 :       CALL timeset(routineN, handle)
    2223              : 
    2224        16835 :       CPASSERT(ASSOCIATED(qs_env))
    2225              : 
    2226        16835 :       CALL cp_fm_get_info(v_matrix, ncol_global=my_n_col)
    2227        16835 :       IF (PRESENT(n_col)) my_n_col = n_col
    2228              :       CALL get_qs_env(qs_env, mpools=mpools, &
    2229              :                       scf_env=scf_env, &
    2230              :                       scf_control=scf_control, &
    2231              :                       matrix_s=matrix_s, &
    2232        16835 :                       dft_control=dft_control)
    2233        16835 :       CALL mpools_get(mpools, maxao_maxmo_fm_pool=maxao_maxmo_fm_pool)
    2234        16835 :       IF (ASSOCIATED(scf_env)) THEN
    2235              :          ortho_contains_cholesky = (scf_env%method /= ot_method_nr) .AND. &
    2236              :                                    (scf_env%cholesky_method > 0) .AND. &
    2237        16835 :                                    ASSOCIATED(scf_env%ortho)
    2238              :       ELSE
    2239              :          ortho_contains_cholesky = .FALSE.
    2240              :       END IF
    2241              : 
    2242        16835 :       CALL get_qs_env(qs_env, has_unit_metric=has_unit_metric)
    2243        16835 :       smearing_is_used = .FALSE.
    2244        16835 :       IF (dft_control%smear) THEN
    2245         1882 :          smearing_is_used = .TRUE.
    2246              :       END IF
    2247              : 
    2248        16835 :       IF (has_unit_metric) THEN
    2249         3410 :          CALL make_basis_simple(v_matrix, my_n_col)
    2250        13425 :       ELSE IF (smearing_is_used) THEN
    2251              :          CALL make_basis_lowdin(vmatrix=v_matrix, ncol=my_n_col, &
    2252         1882 :                                 matrix_s=matrix_s(1)%matrix)
    2253        11543 :       ELSE IF (ortho_contains_cholesky) THEN
    2254              :          CALL make_basis_cholesky(vmatrix=v_matrix, ncol=my_n_col, &
    2255         8116 :                                   ortho=scf_env%ortho)
    2256              :       ELSE
    2257         3427 :          CALL make_basis_sm(v_matrix, my_n_col, matrix_s(1)%matrix)
    2258              :       END IF
    2259        16835 :       CALL timestop(handle)
    2260        16835 :    END SUBROUTINE reorthogonalize_vectors
    2261              : 
    2262              : ! **************************************************************************************************
    2263              : !> \brief purges wf_history retaining only the latest snapshot
    2264              : !> \param qs_env the qs env with the latest result, and that will contain
    2265              : !>        the purged wf_history
    2266              : !> \par History
    2267              : !>      05.2016 created [Nico Holmberg]
    2268              : !> \author Nico Holmberg
    2269              : ! **************************************************************************************************
    2270            0 :    SUBROUTINE wfi_purge_history(qs_env)
    2271              :       TYPE(qs_environment_type), POINTER                 :: qs_env
    2272              : 
    2273              :       CHARACTER(len=*), PARAMETER                        :: routineN = 'wfi_purge_history'
    2274              : 
    2275              :       INTEGER                                            :: handle, io_unit, print_level
    2276              :       TYPE(cp_logger_type), POINTER                      :: logger
    2277              :       TYPE(dft_control_type), POINTER                    :: dft_control
    2278              :       TYPE(qs_wf_history_type), POINTER                  :: wf_history
    2279              : 
    2280            0 :       NULLIFY (dft_control, wf_history)
    2281              : 
    2282            0 :       CALL timeset(routineN, handle)
    2283            0 :       logger => cp_get_default_logger()
    2284            0 :       print_level = logger%iter_info%print_level
    2285              :       io_unit = cp_print_key_unit_nr(logger, qs_env%input, "DFT%SCF%PRINT%PROGRAM_RUN_INFO", &
    2286            0 :                                      extension=".scfLog")
    2287              : 
    2288            0 :       CPASSERT(ASSOCIATED(qs_env))
    2289            0 :       CPASSERT(ASSOCIATED(qs_env%wf_history))
    2290            0 :       CPASSERT(qs_env%wf_history%ref_count > 0)
    2291            0 :       CALL get_qs_env(qs_env, dft_control=dft_control)
    2292              : 
    2293            0 :       SELECT CASE (qs_env%wf_history%interpolation_method_nr)
    2294              :       CASE (wfi_use_guess_method_nr, wfi_use_prev_wf_method_nr, &
    2295              :             wfi_use_prev_p_method_nr, wfi_frozen_method_nr)
    2296              :          ! do nothing
    2297              :       CASE (wfi_linear_wf_method_nr, wfi_linear_p_method_nr, &
    2298              :             wfi_linear_ps_method_nr, wfi_ps_method_nr, &
    2299              :             wfi_aspc_nr, wfi_gext_proj_nr, wfi_gext_proj_qtr_nr)
    2300            0 :          IF (qs_env%wf_history%snapshot_count >= 2) THEN
    2301            0 :             IF (debug_this_module .AND. io_unit > 0) THEN
    2302            0 :                WRITE (io_unit, FMT="(T2,A)") "QS| Purging WFN history"
    2303              :             END IF
    2304              :             CALL wfi_create(wf_history, interpolation_method_nr= &
    2305              :                             dft_control%qs_control%wf_interpolation_method_nr, &
    2306              :                             extrapolation_order=dft_control%qs_control%wf_extrapolation_order, &
    2307            0 :                             has_unit_metric=qs_env%has_unit_metric)
    2308              :             CALL set_qs_env(qs_env=qs_env, &
    2309            0 :                             wf_history=wf_history)
    2310            0 :             CALL wfi_release(wf_history)
    2311            0 :             CALL wfi_update(qs_env%wf_history, qs_env=qs_env, dt=1.0_dp)
    2312              :          END IF
    2313              :       CASE DEFAULT
    2314            0 :          CPABORT("Unknown extrapolation method.")
    2315              :       END SELECT
    2316            0 :       CALL timestop(handle)
    2317              : 
    2318            0 :    END SUBROUTINE wfi_purge_history
    2319              : 
    2320              : ! **************************************************************************************************
    2321              : !> \brief Gives the coefficients that best approximate the new overlap
    2322              : !>        as a linear combination of the previous overlaps in the
    2323              : !>        wf_history buffer. This is done by solving
    2324              : !>        argmin_a || S_{n+1} - S_{n} - \sum_i^{nvec-1} a_i (S_{n-q+i} - S_{n}) ||^2
    2325              : !> \param wf_history wavefunction history buffer, containing the previous overlaps
    2326              : !> \param current_overlap current overlap in dbcsr format
    2327              : !> \param coeffs resulting nvec coefficients
    2328              : !> \param nvec number of previous overlaps
    2329              : !> \param eps Tikhonov regularization
    2330              : !> \param io_unit output unit
    2331              : !> \param print_level print level
    2332              : !> \param current_overlap_kp ...
    2333              : !> \param kpoint_weights ...
    2334              : !> \param para_env_inter_kp ...
    2335              : !> \par History
    2336              : !>      04.2026 created [Michele Nottoli]
    2337              : !> \author Michele Nottoli
    2338              : ! **************************************************************************************************
    2339          140 :    SUBROUTINE diff_fitting(wf_history, current_overlap, coeffs, nvec, eps, io_unit, print_level, &
    2340          140 :                            current_overlap_kp, kpoint_weights, para_env_inter_kp)
    2341              :       TYPE(qs_wf_history_type), POINTER                  :: wf_history
    2342              :       TYPE(dbcsr_type), INTENT(IN)                       :: current_overlap
    2343              :       INTEGER, INTENT(IN)                                :: nvec
    2344              :       REAL(KIND=dp), INTENT(OUT)                         :: coeffs(nvec)
    2345              :       REAL(KIND=dp), INTENT(IN)                          :: eps
    2346              :       INTEGER, INTENT(IN)                                :: io_unit, print_level
    2347              :       TYPE(cp_cfm_type), DIMENSION(:), INTENT(IN), &
    2348              :          OPTIONAL                                        :: current_overlap_kp
    2349              :       REAL(KIND=dp), DIMENSION(:), INTENT(IN), OPTIONAL  :: kpoint_weights
    2350              :       TYPE(mp_para_env_type), OPTIONAL, POINTER          :: para_env_inter_kp
    2351              : 
    2352              :       COMPLEX(KIND=dp)                                   :: ztrace
    2353              :       INTEGER                                            :: i, icol_local, ikp, info, irow_local, j
    2354              :       REAL(KIND=dp)                                      :: error, norm_ref, weight
    2355          140 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: b
    2356          140 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: A
    2357              :       TYPE(cp_cfm_type)                                  :: target_diff_cfm, tmp_conj_cfm, &
    2358              :                                                             tmp_i_cfm, tmp_j_cfm
    2359              :       TYPE(dbcsr_type)                                   :: target_diff, tmp_i, tmp_j, tmp_k
    2360              :       TYPE(qs_wf_snapshot_type), POINTER                 :: ref_state, state
    2361              : 
    2362          140 :       IF (nvec <= 0) THEN
    2363            0 :          CPABORT("Not enough vectors to do the fitting")
    2364          140 :       ELSE IF (nvec == 1) THEN
    2365           22 :          coeffs(1) = 1.0_dp
    2366           70 :          RETURN
    2367              :       END IF
    2368              : 
    2369          118 :       IF (PRESENT(current_overlap_kp)) THEN
    2370           12 :          ALLOCATE (A(nvec - 1, nvec - 1), b(nvec - 1))
    2371            2 :          A = 0.0_dp
    2372            2 :          b = 0.0_dp
    2373              : 
    2374            2 :          ref_state => wfi_get_snapshot(wf_history, wf_index=1)
    2375            2 :          CALL cp_cfm_create(target_diff_cfm, current_overlap_kp(1)%matrix_struct)
    2376            2 :          CALL cp_cfm_create(tmp_i_cfm, current_overlap_kp(1)%matrix_struct)
    2377            2 :          CALL cp_cfm_create(tmp_j_cfm, current_overlap_kp(1)%matrix_struct)
    2378            2 :          CALL cp_cfm_create(tmp_conj_cfm, current_overlap_kp(1)%matrix_struct)
    2379              : 
    2380           10 :          DO ikp = 1, SIZE(current_overlap_kp)
    2381            8 :             weight = 1.0_dp
    2382            8 :             IF (PRESENT(kpoint_weights)) weight = kpoint_weights(ikp)
    2383              : 
    2384            8 :             CALL cp_cfm_to_cfm(current_overlap_kp(ikp), target_diff_cfm)
    2385              :             CALL cp_cfm_scale_and_add(z_one, target_diff_cfm, CMPLX(-1.0_dp, 0.0_dp, KIND=dp), &
    2386            8 :                                       ref_state%overlap_cfm_kp(ikp))
    2387           18 :             DO i = 2, nvec
    2388            8 :                state => wfi_get_snapshot(wf_history, wf_index=i)
    2389            8 :                CALL cp_cfm_to_cfm(state%overlap_cfm_kp(ikp), tmp_i_cfm)
    2390              :                CALL cp_cfm_scale_and_add(z_one, tmp_i_cfm, CMPLX(-1.0_dp, 0.0_dp, KIND=dp), &
    2391            8 :                                          ref_state%overlap_cfm_kp(ikp))
    2392            8 :                CALL cp_cfm_to_cfm(tmp_i_cfm, tmp_conj_cfm)
    2393          264 :                DO icol_local = 1, SIZE(tmp_conj_cfm%local_data, 2)
    2394         4360 :                   DO irow_local = 1, SIZE(tmp_conj_cfm%local_data, 1)
    2395              :                      tmp_conj_cfm%local_data(irow_local, icol_local) = &
    2396         4352 :                         CONJG(tmp_conj_cfm%local_data(irow_local, icol_local))
    2397              :                   END DO
    2398              :                END DO
    2399            8 :                CALL cp_cfm_trace(tmp_conj_cfm, target_diff_cfm, ztrace)
    2400            8 :                b(i - 1) = b(i - 1) + weight*REAL(ztrace, KIND=dp)
    2401              : 
    2402           24 :                DO j = 2, i
    2403            8 :                   state => wfi_get_snapshot(wf_history, wf_index=j)
    2404            8 :                   CALL cp_cfm_to_cfm(state%overlap_cfm_kp(ikp), tmp_j_cfm)
    2405              :                   CALL cp_cfm_scale_and_add(z_one, tmp_j_cfm, CMPLX(-1.0_dp, 0.0_dp, KIND=dp), &
    2406            8 :                                             ref_state%overlap_cfm_kp(ikp))
    2407            8 :                   CALL cp_cfm_trace(tmp_conj_cfm, tmp_j_cfm, ztrace)
    2408           16 :                   A(j - 1, i - 1) = A(j - 1, i - 1) + weight*REAL(ztrace, KIND=dp)
    2409              :                END DO
    2410              :             END DO
    2411              :          END DO
    2412              : 
    2413            4 :          DO i = 2, nvec
    2414            6 :             DO j = 2, i
    2415            4 :                A(i - 1, j - 1) = A(j - 1, i - 1)
    2416              :             END DO
    2417              :          END DO
    2418              : 
    2419            2 :          IF (PRESENT(para_env_inter_kp)) THEN
    2420            2 :             IF (ASSOCIATED(para_env_inter_kp)) THEN
    2421            2 :                CALL para_env_inter_kp%sum(A)
    2422            2 :                CALL para_env_inter_kp%sum(b)
    2423              :             END IF
    2424              :          END IF
    2425              : 
    2426            4 :          DO i = 1, nvec - 1
    2427            4 :             A(i, i) = A(i, i) + eps**2
    2428              :          END DO
    2429              : 
    2430            2 :          CALL dposv('u', nvec - 1, 1, A, nvec - 1, b, nvec - 1, info)
    2431            2 :          IF (info /= 0) THEN
    2432            0 :             CPABORT("DPOSV failed.")
    2433              :          END IF
    2434              : 
    2435            4 :          coeffs(1) = 1.0_dp - SUM(b)
    2436            4 :          coeffs(2:nvec) = b(:)
    2437              : 
    2438            2 :          IF (print_level > low_print_level) THEN
    2439            2 :             error = 0.0_dp
    2440            2 :             norm_ref = 0.0_dp
    2441           10 :             DO ikp = 1, SIZE(current_overlap_kp)
    2442            8 :                weight = 1.0_dp
    2443            8 :                IF (PRESENT(kpoint_weights)) weight = kpoint_weights(ikp)
    2444            8 :                CALL cp_cfm_to_cfm(current_overlap_kp(ikp), tmp_i_cfm)
    2445           24 :                DO i = 1, nvec
    2446           16 :                   state => wfi_get_snapshot(wf_history, wf_index=i)
    2447              :                   CALL cp_cfm_scale_and_add(z_one, tmp_i_cfm, CMPLX(-coeffs(i), 0.0_dp, KIND=dp), &
    2448           24 :                                             state%overlap_cfm_kp(ikp))
    2449              :                END DO
    2450            8 :                CALL cp_cfm_to_cfm(tmp_i_cfm, tmp_conj_cfm)
    2451          264 :                DO icol_local = 1, SIZE(tmp_conj_cfm%local_data, 2)
    2452         4360 :                   DO irow_local = 1, SIZE(tmp_conj_cfm%local_data, 1)
    2453              :                      tmp_conj_cfm%local_data(irow_local, icol_local) = &
    2454         4352 :                         CONJG(tmp_conj_cfm%local_data(irow_local, icol_local))
    2455              :                   END DO
    2456              :                END DO
    2457            8 :                CALL cp_cfm_trace(tmp_conj_cfm, tmp_i_cfm, ztrace)
    2458            8 :                error = error + weight*REAL(ztrace, KIND=dp)
    2459            8 :                CALL cp_cfm_to_cfm(ref_state%overlap_cfm_kp(ikp), tmp_conj_cfm)
    2460          264 :                DO icol_local = 1, SIZE(tmp_conj_cfm%local_data, 2)
    2461         4360 :                   DO irow_local = 1, SIZE(tmp_conj_cfm%local_data, 1)
    2462              :                      tmp_conj_cfm%local_data(irow_local, icol_local) = &
    2463         4352 :                         CONJG(tmp_conj_cfm%local_data(irow_local, icol_local))
    2464              :                   END DO
    2465              :                END DO
    2466            8 :                CALL cp_cfm_trace(tmp_conj_cfm, ref_state%overlap_cfm_kp(ikp), ztrace)
    2467           18 :                norm_ref = norm_ref + weight*REAL(ztrace, KIND=dp)
    2468              :             END DO
    2469            2 :             IF (PRESENT(para_env_inter_kp)) THEN
    2470            2 :                IF (ASSOCIATED(para_env_inter_kp)) THEN
    2471            2 :                   CALL para_env_inter_kp%sum(error)
    2472            2 :                   CALL para_env_inter_kp%sum(norm_ref)
    2473              :                END IF
    2474              :             END IF
    2475            2 :             IF (io_unit > 0) THEN
    2476            1 :                WRITE (UNIT=io_unit, FMT="(/,T2,A,F20.10)") "GEXT overlap fitting error:", &
    2477            2 :                   SQRT(error/MAX(norm_ref, TINY(1.0_dp)))
    2478              :             END IF
    2479              :          END IF
    2480              : 
    2481            2 :          CALL cp_cfm_release(target_diff_cfm)
    2482            2 :          CALL cp_cfm_release(tmp_i_cfm)
    2483            2 :          CALL cp_cfm_release(tmp_j_cfm)
    2484            2 :          CALL cp_cfm_release(tmp_conj_cfm)
    2485            2 :          DEALLOCATE (A, b)
    2486            2 :          RETURN
    2487              :       END IF
    2488              : 
    2489          696 :       ALLOCATE (A(nvec - 1, nvec - 1), b(nvec - 1))
    2490              : 
    2491              :       ! get the reference for the difference fitting
    2492          116 :       ref_state => wfi_get_snapshot(wf_history, wf_index=1)
    2493              : 
    2494              :       ! assemble the target difference
    2495          116 :       CALL dbcsr_copy(target_diff, current_overlap)
    2496          116 :       CALL dbcsr_add(target_diff, ref_state%overlap, 1.0_dp, -1.0_dp)
    2497              : 
    2498              :       ! allocate tmp_k
    2499          116 :       CALL dbcsr_copy(tmp_k, current_overlap)
    2500              : 
    2501              :       ! assemble the matrix A and the RHS b
    2502          348 :       DO i = 2, nvec
    2503          232 :          state => wfi_get_snapshot(wf_history, wf_index=i)
    2504          232 :          CALL dbcsr_copy(tmp_i, state%overlap)
    2505          232 :          CALL dbcsr_add(tmp_i, ref_state%overlap, 1.0_dp, -1.0_dp)
    2506          232 :          CALL dbcsr_multiply("N", "N", 1.0_dp, tmp_i, target_diff, 0.0_dp, tmp_k)
    2507          232 :          CALL dbcsr_trace(tmp_k, b(i - 1))
    2508              : 
    2509          724 :          DO j = 2, i
    2510          376 :             state => wfi_get_snapshot(wf_history, wf_index=j)
    2511          376 :             CALL dbcsr_copy(tmp_j, state%overlap)
    2512          376 :             CALL dbcsr_add(tmp_j, ref_state%overlap, 1.0_dp, -1.0_dp)
    2513          376 :             CALL dbcsr_multiply("N", "N", 1.0_dp, tmp_i, tmp_j, 0.0_dp, tmp_k)
    2514          376 :             CALL dbcsr_trace(tmp_k, A(j - 1, i - 1))
    2515          608 :             A(i - 1, j - 1) = A(j - 1, i - 1)
    2516              :          END DO
    2517              :       END DO
    2518              : 
    2519              :       ! add the Tikhonov regularization
    2520          348 :       DO i = 1, nvec - 1
    2521          348 :          A(i, i) = A(i, i) + eps**2
    2522              :       END DO
    2523              : 
    2524              :       ! solve the linear system
    2525          116 :       CALL dposv('u', nvec - 1, 1, A, nvec - 1, b, nvec - 1, info)
    2526          116 :       IF (info /= 0) THEN
    2527            0 :          CPABORT("DPOSV failed.")
    2528              :       END IF
    2529              : 
    2530              :       ! set the coefficient for the reference snapshot
    2531          348 :       coeffs(1) = 1.0_dp - SUM(b)
    2532          348 :       coeffs(2:nvec) = b(:)
    2533              : 
    2534              :       ! as a consistency check, print how well the current overlap
    2535              :       ! is approximated by the linear combination of previous overlaps
    2536          116 :       IF (print_level > low_print_level) THEN
    2537           20 :          CALL dbcsr_copy(tmp_i, current_overlap)
    2538           96 :          DO i = 1, nvec
    2539           76 :             state => wfi_get_snapshot(wf_history, wf_index=i)
    2540           96 :             CALL dbcsr_add(tmp_i, state%overlap, 1.0_dp, -coeffs(i))
    2541              :          END DO
    2542           20 :          error = dbcsr_frobenius_norm(tmp_i)/dbcsr_frobenius_norm(state%overlap)
    2543           20 :          IF (io_unit > 0) THEN
    2544           10 :             WRITE (UNIT=io_unit, FMT="(/,T2,A,F20.10)") "GEXT overlap fitting error:", error
    2545              :          END IF
    2546              :       END IF
    2547              : 
    2548              :       ! free the memory
    2549          116 :       CALL dbcsr_release(tmp_i)
    2550          116 :       CALL dbcsr_release(tmp_j)
    2551          116 :       CALL dbcsr_release(tmp_k)
    2552          116 :       CALL dbcsr_release(target_diff)
    2553          116 :       DEALLOCATE (A, b)
    2554              : 
    2555          188 :    END SUBROUTINE diff_fitting
    2556              : 
    2557              : ! **************************************************************************************************
    2558              : !> \brief Gives the coefficients that best approximate the new overlap
    2559              : !>        as a time reversible linear combination of the previous overlaps in the
    2560              : !>        wf_history buffer. This is done by solving
    2561              : !>        argmin_a || S_{n+1} + S_{n+1-nvec}
    2562              : !>                    - \sum_{i=1}^q a_i (S_{n+1-nvec+i} + S_{n+1-i}) ||^2
    2563              : !>        with q = nvec/2 if nvec is even, or q = (nvec-1)/2 if odd.
    2564              : !> \param wf_history wavefunction history buffer, containing the previous overlaps
    2565              : !> \param current_overlap current overlap in dbcsr format
    2566              : !> \param coeffs resulting nvec coefficients
    2567              : !> \param nvec number of previous overlaps
    2568              : !> \param eps Tikhonov regularization
    2569              : !> \param io_unit output unit
    2570              : !> \param print_level print level
    2571              : !> \param current_overlap_kp ...
    2572              : !> \param kpoint_weights ...
    2573              : !> \param para_env_inter_kp ...
    2574              : !> \par History
    2575              : !>      04.2026 created [Michele Nottoli]
    2576              : ! **************************************************************************************************
    2577           28 :    SUBROUTINE tr_fitting(wf_history, current_overlap, coeffs, nvec, eps, io_unit, print_level, &
    2578           28 :                          current_overlap_kp, kpoint_weights, para_env_inter_kp)
    2579              :       TYPE(qs_wf_history_type), POINTER                  :: wf_history
    2580              :       TYPE(dbcsr_type), INTENT(IN)                       :: current_overlap
    2581              :       INTEGER, INTENT(IN)                                :: nvec
    2582              :       REAL(KIND=dp), INTENT(OUT)                         :: coeffs(nvec)
    2583              :       REAL(KIND=dp), INTENT(IN)                          :: eps
    2584              :       INTEGER, INTENT(IN)                                :: io_unit, print_level
    2585              :       TYPE(cp_cfm_type), DIMENSION(:), INTENT(IN), &
    2586              :          OPTIONAL                                        :: current_overlap_kp
    2587              :       REAL(KIND=dp), DIMENSION(:), INTENT(IN), OPTIONAL  :: kpoint_weights
    2588              :       TYPE(mp_para_env_type), OPTIONAL, POINTER          :: para_env_inter_kp
    2589              : 
    2590              :       COMPLEX(KIND=dp)                                   :: ztrace
    2591              :       INTEGER                                            :: i, icol_local, ikp, info, irow_local, j, &
    2592              :                                                             ntr
    2593              :       REAL(KIND=dp)                                      :: error, norm_ref, weight
    2594           28 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: b
    2595           28 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: A
    2596              :       TYPE(cp_cfm_type)                                  :: target_overlap_cfm, tmp_conj_cfm, &
    2597              :                                                             tmp_i_cfm, tmp_j_cfm
    2598              :       TYPE(dbcsr_type)                                   :: target_overlap, tmp_i, tmp_j, tmp_k
    2599              :       TYPE(qs_wf_snapshot_type), POINTER                 :: ref_state, state
    2600              : 
    2601           28 :       IF (nvec <= 0) THEN
    2602            0 :          CPABORT("Not enough vectors to do the fitting")
    2603           28 :       ELSE IF (nvec == 1) THEN
    2604            6 :          coeffs(1) = 1.0_dp
    2605           22 :          RETURN
    2606              :       END IF
    2607              : 
    2608           22 :       IF (MOD(nvec, 2) == 0) THEN
    2609           10 :          ntr = nvec/2
    2610              :       ELSE
    2611           12 :          ntr = (nvec - 1)/2
    2612              :       END IF
    2613              : 
    2614           22 :       IF (PRESENT(current_overlap_kp)) THEN
    2615           12 :          ALLOCATE (A(ntr, ntr), b(ntr))
    2616            2 :          A = 0.0_dp
    2617            2 :          b = 0.0_dp
    2618              : 
    2619            2 :          ref_state => wfi_get_snapshot(wf_history, wf_index=nvec)
    2620            2 :          CALL cp_cfm_create(target_overlap_cfm, current_overlap_kp(1)%matrix_struct)
    2621            2 :          CALL cp_cfm_create(tmp_i_cfm, current_overlap_kp(1)%matrix_struct)
    2622            2 :          CALL cp_cfm_create(tmp_j_cfm, current_overlap_kp(1)%matrix_struct)
    2623            2 :          CALL cp_cfm_create(tmp_conj_cfm, current_overlap_kp(1)%matrix_struct)
    2624              : 
    2625           10 :          DO ikp = 1, SIZE(current_overlap_kp)
    2626            8 :             weight = 1.0_dp
    2627            8 :             IF (PRESENT(kpoint_weights)) weight = kpoint_weights(ikp)
    2628              : 
    2629            8 :             CALL cp_cfm_to_cfm(current_overlap_kp(ikp), target_overlap_cfm)
    2630            8 :             CALL cp_cfm_scale_and_add(z_one, target_overlap_cfm, z_one, ref_state%overlap_cfm_kp(ikp))
    2631           18 :             DO i = 1, ntr
    2632            8 :                state => wfi_get_snapshot(wf_history, wf_index=i)
    2633            8 :                CALL cp_cfm_to_cfm(state%overlap_cfm_kp(ikp), tmp_i_cfm)
    2634            8 :                state => wfi_get_snapshot(wf_history, wf_index=nvec - i)
    2635            8 :                CALL cp_cfm_scale_and_add(z_one, tmp_i_cfm, z_one, state%overlap_cfm_kp(ikp))
    2636              : 
    2637            8 :                CALL cp_cfm_to_cfm(tmp_i_cfm, tmp_conj_cfm)
    2638          264 :                DO icol_local = 1, SIZE(tmp_conj_cfm%local_data, 2)
    2639         4360 :                   DO irow_local = 1, SIZE(tmp_conj_cfm%local_data, 1)
    2640              :                      tmp_conj_cfm%local_data(irow_local, icol_local) = &
    2641         4352 :                         CONJG(tmp_conj_cfm%local_data(irow_local, icol_local))
    2642              :                   END DO
    2643              :                END DO
    2644            8 :                CALL cp_cfm_trace(tmp_conj_cfm, target_overlap_cfm, ztrace)
    2645            8 :                b(i) = b(i) + weight*REAL(ztrace, KIND=dp)
    2646           24 :                DO j = 1, i
    2647            8 :                   state => wfi_get_snapshot(wf_history, wf_index=j)
    2648            8 :                   CALL cp_cfm_to_cfm(state%overlap_cfm_kp(ikp), tmp_j_cfm)
    2649            8 :                   state => wfi_get_snapshot(wf_history, wf_index=nvec - j)
    2650            8 :                   CALL cp_cfm_scale_and_add(z_one, tmp_j_cfm, z_one, state%overlap_cfm_kp(ikp))
    2651            8 :                   CALL cp_cfm_trace(tmp_conj_cfm, tmp_j_cfm, ztrace)
    2652           16 :                   A(j, i) = A(j, i) + weight*REAL(ztrace, KIND=dp)
    2653              :                END DO
    2654              :             END DO
    2655              :          END DO
    2656              : 
    2657            4 :          DO i = 1, ntr
    2658            6 :             DO j = 1, i
    2659            4 :                A(i, j) = A(j, i)
    2660              :             END DO
    2661              :          END DO
    2662              : 
    2663            2 :          IF (PRESENT(para_env_inter_kp)) THEN
    2664            2 :             IF (ASSOCIATED(para_env_inter_kp)) THEN
    2665            2 :                CALL para_env_inter_kp%sum(A)
    2666            2 :                CALL para_env_inter_kp%sum(b)
    2667              :             END IF
    2668              :          END IF
    2669              : 
    2670            4 :          DO i = 1, ntr
    2671            4 :             A(i, i) = A(i, i) + eps**2
    2672              :          END DO
    2673              : 
    2674            2 :          CALL dposv('u', ntr, 1, A, ntr, b, ntr, info)
    2675            2 :          IF (info /= 0) THEN
    2676            0 :             CPABORT("DPOSV failed.")
    2677              :          END IF
    2678              : 
    2679            6 :          coeffs = 0.0_dp
    2680            2 :          coeffs(nvec) = -1.0_dp
    2681            4 :          DO i = 1, ntr
    2682            2 :             coeffs(i) = coeffs(i) + b(i)
    2683            4 :             coeffs(nvec - i) = coeffs(nvec - i) + b(i)
    2684              :          END DO
    2685              : 
    2686            2 :          IF (print_level > low_print_level) THEN
    2687            2 :             error = 0.0_dp
    2688            2 :             norm_ref = 0.0_dp
    2689           10 :             DO ikp = 1, SIZE(current_overlap_kp)
    2690            8 :                weight = 1.0_dp
    2691            8 :                IF (PRESENT(kpoint_weights)) weight = kpoint_weights(ikp)
    2692            8 :                CALL cp_cfm_to_cfm(current_overlap_kp(ikp), tmp_i_cfm)
    2693           24 :                DO i = 1, nvec
    2694           16 :                   state => wfi_get_snapshot(wf_history, wf_index=i)
    2695              :                   CALL cp_cfm_scale_and_add(z_one, tmp_i_cfm, CMPLX(-coeffs(i), 0.0_dp, KIND=dp), &
    2696           24 :                                             state%overlap_cfm_kp(ikp))
    2697              :                END DO
    2698            8 :                CALL cp_cfm_to_cfm(tmp_i_cfm, tmp_conj_cfm)
    2699          264 :                DO icol_local = 1, SIZE(tmp_conj_cfm%local_data, 2)
    2700         4360 :                   DO irow_local = 1, SIZE(tmp_conj_cfm%local_data, 1)
    2701              :                      tmp_conj_cfm%local_data(irow_local, icol_local) = &
    2702         4352 :                         CONJG(tmp_conj_cfm%local_data(irow_local, icol_local))
    2703              :                   END DO
    2704              :                END DO
    2705            8 :                CALL cp_cfm_trace(tmp_conj_cfm, tmp_i_cfm, ztrace)
    2706            8 :                error = error + weight*REAL(ztrace, KIND=dp)
    2707            8 :                CALL cp_cfm_to_cfm(ref_state%overlap_cfm_kp(ikp), tmp_conj_cfm)
    2708          264 :                DO icol_local = 1, SIZE(tmp_conj_cfm%local_data, 2)
    2709         4360 :                   DO irow_local = 1, SIZE(tmp_conj_cfm%local_data, 1)
    2710              :                      tmp_conj_cfm%local_data(irow_local, icol_local) = &
    2711         4352 :                         CONJG(tmp_conj_cfm%local_data(irow_local, icol_local))
    2712              :                   END DO
    2713              :                END DO
    2714            8 :                CALL cp_cfm_trace(tmp_conj_cfm, ref_state%overlap_cfm_kp(ikp), ztrace)
    2715           18 :                norm_ref = norm_ref + weight*REAL(ztrace, KIND=dp)
    2716              :             END DO
    2717            2 :             IF (PRESENT(para_env_inter_kp)) THEN
    2718            2 :                IF (ASSOCIATED(para_env_inter_kp)) THEN
    2719            2 :                   CALL para_env_inter_kp%sum(error)
    2720            2 :                   CALL para_env_inter_kp%sum(norm_ref)
    2721              :                END IF
    2722              :             END IF
    2723            2 :             IF (io_unit > 0) THEN
    2724            1 :                WRITE (UNIT=io_unit, FMT="(/,T2,A,F20.10)") "GEXT overlap fitting error:", &
    2725            2 :                   SQRT(error/MAX(norm_ref, TINY(1.0_dp)))
    2726              :             END IF
    2727              :          END IF
    2728              : 
    2729            2 :          CALL cp_cfm_release(target_overlap_cfm)
    2730            2 :          CALL cp_cfm_release(tmp_i_cfm)
    2731            2 :          CALL cp_cfm_release(tmp_j_cfm)
    2732            2 :          CALL cp_cfm_release(tmp_conj_cfm)
    2733            2 :          DEALLOCATE (A, b)
    2734            2 :          RETURN
    2735              :       END IF
    2736              : 
    2737          120 :       ALLOCATE (A(ntr, ntr), b(ntr))
    2738              : 
    2739              :       ! get the reference for the difference fitting
    2740           20 :       ref_state => wfi_get_snapshot(wf_history, wf_index=nvec)
    2741              : 
    2742              :       ! assemble the target sum
    2743           20 :       CALL dbcsr_copy(target_overlap, current_overlap)
    2744           20 :       CALL dbcsr_add(target_overlap, ref_state%overlap, 1.0_dp, 1.0_dp)
    2745              : 
    2746              :       ! allocate tmp_k
    2747           20 :       CALL dbcsr_copy(tmp_k, current_overlap)
    2748              : 
    2749              :       ! assemble the matrix A and the RHS b
    2750           52 :       DO i = 1, ntr
    2751           32 :          state => wfi_get_snapshot(wf_history, wf_index=i)
    2752           32 :          CALL dbcsr_copy(tmp_i, state%overlap)
    2753           32 :          state => wfi_get_snapshot(wf_history, wf_index=nvec - i)
    2754           32 :          CALL dbcsr_add(tmp_i, state%overlap, 1.0_dp, 1.0_dp)
    2755              : 
    2756              :          CALL dbcsr_multiply("N", "N", 1.0_dp, tmp_i, target_overlap, &
    2757           32 :                              0.0_dp, tmp_k)
    2758           32 :          CALL dbcsr_trace(tmp_k, b(i))
    2759           96 :          DO j = 1, i
    2760           44 :             state => wfi_get_snapshot(wf_history, wf_index=j)
    2761           44 :             CALL dbcsr_copy(tmp_j, state%overlap)
    2762           44 :             state => wfi_get_snapshot(wf_history, wf_index=nvec - j)
    2763           44 :             CALL dbcsr_add(tmp_j, state%overlap, 1.0_dp, 1.0_dp)
    2764           44 :             CALL dbcsr_multiply("N", "N", 1.0_dp, tmp_i, tmp_j, 0.0_dp, tmp_k)
    2765           44 :             CALL dbcsr_trace(tmp_k, A(j, i))
    2766           76 :             A(i, j) = A(j, i)
    2767              :          END DO
    2768              :       END DO
    2769              : 
    2770              :       ! add the Tikhonov regularization
    2771           52 :       DO i = 1, ntr
    2772           52 :          A(i, i) = A(i, i) + eps**2
    2773              :       END DO
    2774              : 
    2775              :       ! solve the linear system
    2776           20 :       CALL dposv('u', ntr, 1, A, ntr, b, ntr, info)
    2777           20 :       IF (info /= 0) THEN
    2778            0 :          CPABORT("DPOSV failed.")
    2779              :       END IF
    2780              : 
    2781              :       ! reorder the coefficients
    2782           96 :       coeffs = 0.0_dp
    2783           20 :       coeffs(nvec) = -1.0_dp
    2784           52 :       DO i = 1, ntr
    2785           32 :          coeffs(i) = coeffs(i) + b(i)
    2786           52 :          coeffs(nvec - i) = coeffs(nvec - i) + b(i)
    2787              :       END DO
    2788              : 
    2789              :       ! as a consistency check, print how well the current overlap
    2790              :       ! is approximated by the linear combination of previous overlaps
    2791           20 :       IF (print_level > low_print_level) THEN
    2792           20 :          CALL dbcsr_copy(tmp_i, current_overlap)
    2793           96 :          DO i = 1, nvec
    2794           76 :             state => wfi_get_snapshot(wf_history, wf_index=i)
    2795           96 :             CALL dbcsr_add(tmp_i, state%overlap, 1.0_dp, -coeffs(i))
    2796              :          END DO
    2797           20 :          error = dbcsr_frobenius_norm(tmp_i)/dbcsr_frobenius_norm(state%overlap)
    2798           20 :          IF (io_unit > 0) THEN
    2799           10 :             WRITE (UNIT=io_unit, FMT="(/,T2,A,F20.10)") "GEXT overlap fitting error:", error
    2800              :          END IF
    2801              :       END IF
    2802              : 
    2803              :       ! free the memory
    2804           20 :       CALL dbcsr_release(tmp_i)
    2805           20 :       CALL dbcsr_release(tmp_j)
    2806           20 :       CALL dbcsr_release(tmp_k)
    2807           20 :       CALL dbcsr_release(target_overlap)
    2808           20 :       DEALLOCATE (A, b)
    2809              : 
    2810           44 :    END SUBROUTINE tr_fitting
    2811              : 
    2812              : END MODULE qs_wf_history_methods
        

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