LCOV - code coverage report
Current view: top level - src/dbt - dbt_types.F (source / functions) Hit Total Coverage
Test: CP2K Regtests (git:4dc10b3) Lines: 522 580 90.0 %
Date: 2024-11-21 06:45:46 Functions: 48 62 77.4 %

          Line data    Source code
       1             : !--------------------------------------------------------------------------------------------------!
       2             : !   CP2K: A general program to perform molecular dynamics simulations                              !
       3             : !   Copyright 2000-2024 CP2K developers group <https://cp2k.org>                                   !
       4             : !                                                                                                  !
       5             : !   SPDX-License-Identifier: GPL-2.0-or-later                                                      !
       6             : !--------------------------------------------------------------------------------------------------!
       7             : 
       8             : ! **************************************************************************************************
       9             : !> \brief DBT tensor framework for block-sparse tensor contraction: Types and create/destroy routines.
      10             : !> \author Patrick Seewald
      11             : ! **************************************************************************************************
      12             : MODULE dbt_types
      13             :    #:include "dbt_macros.fypp"
      14             :    #:set maxdim = maxrank
      15             :    #:set ndims = range(2,maxdim+1)
      16             : 
      17             :    USE cp_dbcsr_api, ONLY: dbcsr_type, dbcsr_get_info, dbcsr_distribution_type, dbcsr_distribution_get
      18             :    USE dbt_array_list_methods, ONLY: &
      19             :       array_list, array_offsets, create_array_list, destroy_array_list, get_array_elements, &
      20             :       sizes_of_arrays, sum_of_arrays, array_sublist, get_arrays, get_ith_array, array_eq_i
      21             :    USE dbm_api, ONLY: &
      22             :       dbm_distribution_obj, dbm_type
      23             :    USE kinds, ONLY: dp, dp, default_string_length
      24             :    USE dbt_tas_base, ONLY: &
      25             :       dbt_tas_create, dbt_tas_distribution_new, &
      26             :       dbt_tas_distribution_destroy, dbt_tas_finalize, dbt_tas_get_info, &
      27             :       dbt_tas_destroy, dbt_tas_get_stored_coordinates, dbt_tas_filter, &
      28             :       dbt_tas_get_num_blocks, dbt_tas_get_num_blocks_total, dbt_tas_get_nze, &
      29             :       dbt_tas_get_nze_total, dbt_tas_clear
      30             :    USE dbt_tas_types, ONLY: &
      31             :       dbt_tas_type, dbt_tas_distribution_type, dbt_tas_split_info, dbt_tas_mm_storage
      32             :    USE dbt_tas_mm, ONLY: dbt_tas_set_batched_state
      33             :    USE dbt_index, ONLY: &
      34             :       get_2d_indices_tensor, get_nd_indices_pgrid, create_nd_to_2d_mapping, destroy_nd_to_2d_mapping, &
      35             :       dbt_get_mapping_info, nd_to_2d_mapping, split_tensor_index, combine_tensor_index, combine_pgrid_index, &
      36             :       split_pgrid_index, ndims_mapping, ndims_mapping_row, ndims_mapping_column
      37             :    USE dbt_tas_split, ONLY: &
      38             :       dbt_tas_create_split_rows_or_cols, dbt_tas_release_info, dbt_tas_info_hold, &
      39             :       dbt_tas_create_split, dbt_tas_get_split_info, dbt_tas_set_strict_split
      40             :    USE kinds, ONLY: default_string_length, int_8, dp
      41             :    USE message_passing, ONLY: &
      42             :       mp_cart_type, mp_dims_create, mp_comm_type
      43             :    USE dbt_tas_global, ONLY: dbt_tas_distribution, dbt_tas_rowcol_data, dbt_tas_default_distvec
      44             :    USE dbt_allocate_wrap, ONLY: allocate_any
      45             :    USE dbm_api, ONLY: dbm_scale
      46             :    USE util, ONLY: sort
      47             : #include "../base/base_uses.f90"
      48             : 
      49             :    IMPLICIT NONE
      50             :    PRIVATE
      51             :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'dbt_types'
      52             : 
      53             :    PUBLIC  :: &
      54             :       blk_dims_tensor, &
      55             :       dbt_blk_offsets, &
      56             :       dbt_blk_sizes, &
      57             :       dbt_clear, &
      58             :       dbt_create, &
      59             :       dbt_destroy, &
      60             :       dbt_distribution, &
      61             :       dbt_distribution_destroy, &
      62             :       dbt_distribution_new, &
      63             :       dbt_distribution_new_expert, &
      64             :       dbt_distribution_type, &
      65             :       dbt_filter, &
      66             :       dbt_finalize, &
      67             :       dbt_get_info, &
      68             :       dbt_get_num_blocks, &
      69             :       dbt_get_num_blocks_total, &
      70             :       dbt_get_nze, &
      71             :       dbt_get_nze_total, &
      72             :       dbt_get_stored_coordinates, &
      73             :       dbt_hold, &
      74             :       dbt_mp_dims_create, &
      75             :       dbt_nd_mp_comm, &
      76             :       dbt_nd_mp_free, &
      77             :       dbt_pgrid_change_dims, &
      78             :       dbt_pgrid_create, &
      79             :       dbt_pgrid_create_expert, &
      80             :       dbt_pgrid_destroy, &
      81             :       dbt_pgrid_type, &
      82             :       dbt_pgrid_set_strict_split, &
      83             :       dbt_scale, &
      84             :       dbt_type, &
      85             :       dims_tensor, &
      86             :       mp_environ_pgrid, &
      87             :       ndims_tensor, &
      88             :       ndims_matrix_row, &
      89             :       ndims_matrix_column, &
      90             :       dbt_nblks_local, &
      91             :       dbt_nblks_total, &
      92             :       dbt_blk_size, &
      93             :       dbt_max_nblks_local, &
      94             :       dbt_default_distvec, &
      95             :       dbt_contraction_storage, &
      96             :       dbt_copy_contraction_storage
      97             : 
      98             :    TYPE dbt_pgrid_type
      99             :       TYPE(nd_to_2d_mapping)                  :: nd_index_grid
     100             :       TYPE(mp_cart_type)                      :: mp_comm_2d
     101             :       TYPE(dbt_tas_split_info), ALLOCATABLE   :: tas_split_info
     102             :       INTEGER                                 :: nproc = -1
     103             :    END TYPE
     104             : 
     105             :    TYPE dbt_contraction_storage
     106             :       REAL(dp)         :: nsplit_avg = 0.0_dp
     107             :       INTEGER          :: ibatch = -1
     108             :       TYPE(array_list) :: batch_ranges
     109             :       LOGICAL          :: static = .FALSE.
     110             :    END TYPE
     111             : 
     112             :    TYPE dbt_type
     113             :       TYPE(dbt_tas_type), POINTER                :: matrix_rep => NULL()
     114             :       TYPE(nd_to_2d_mapping)                     :: nd_index_blk
     115             :       TYPE(nd_to_2d_mapping)                     :: nd_index
     116             :       TYPE(array_list)                           :: blk_sizes
     117             :       TYPE(array_list)                           :: blk_offsets
     118             :       TYPE(array_list)                           :: nd_dist
     119             :       TYPE(dbt_pgrid_type)                       :: pgrid
     120             :       TYPE(array_list)                           :: blks_local
     121             :       INTEGER, DIMENSION(:), ALLOCATABLE         :: nblks_local
     122             :       INTEGER, DIMENSION(:), ALLOCATABLE         :: nfull_local
     123             :       LOGICAL                                    :: valid = .FALSE.
     124             :       LOGICAL                                    :: owns_matrix = .FALSE.
     125             :       CHARACTER(LEN=default_string_length)       :: name = ""
     126             :       ! lightweight reference counting for communicators:
     127             :       INTEGER, POINTER                           :: refcount => NULL()
     128             :       TYPE(dbt_contraction_storage), ALLOCATABLE :: contraction_storage
     129             :    END TYPE dbt_type
     130             : 
     131             :    TYPE dbt_distribution_type
     132             :       TYPE(dbt_tas_distribution_type) :: dist
     133             :       TYPE(dbt_pgrid_type)            :: pgrid
     134             :       TYPE(array_list)                :: nd_dist
     135             :       ! lightweight reference counting for communicators:
     136             :       INTEGER, POINTER                :: refcount => NULL()
     137             :    END TYPE
     138             : 
     139             : ! **************************************************************************************************
     140             : !> \brief tas matrix distribution function object for one matrix index
     141             : !> \var dims tensor     dimensions only for this matrix dimension
     142             : !> \var dims_grid       grid dimensions only for this matrix dimension
     143             : !> \var nd_dist         dist only for tensor dimensions belonging to this matrix dimension
     144             : !> \var tas_dist_t map  matrix index to process grid
     145             : !> \var tas_rowcols_t   map process grid to matrix index
     146             : ! **************************************************************************************************
     147             :    TYPE, EXTENDS(dbt_tas_distribution) :: dbt_tas_dist_t
     148             :       INTEGER, DIMENSION(:), ALLOCATABLE :: dims
     149             :       INTEGER, DIMENSION(:), ALLOCATABLE :: dims_grid
     150             :       TYPE(array_list)                   :: nd_dist
     151             :    CONTAINS
     152             :       PROCEDURE                          :: dist => tas_dist_t
     153             :       PROCEDURE                          :: rowcols => tas_rowcols_t
     154             :    END TYPE
     155             : 
     156             : ! **************************************************************************************************
     157             : !> \brief  block size object for one matrix index
     158             : !> \var dims tensor dimensions only for this matrix dimension
     159             : !> \var blk_size block size only for this matrix dimension
     160             : ! **************************************************************************************************
     161             :    TYPE, EXTENDS(dbt_tas_rowcol_data) :: dbt_tas_blk_size_t
     162             :       INTEGER, DIMENSION(:), ALLOCATABLE :: dims
     163             :       TYPE(array_list)                   :: blk_size
     164             :    CONTAINS
     165             :       PROCEDURE                          :: data => tas_blk_size_t
     166             :    END TYPE
     167             : 
     168             :    INTERFACE dbt_create
     169             :       MODULE PROCEDURE dbt_create_new
     170             :       MODULE PROCEDURE dbt_create_template
     171             :       MODULE PROCEDURE dbt_create_matrix
     172             :    END INTERFACE
     173             : 
     174             :    INTERFACE dbt_tas_dist_t
     175             :       MODULE PROCEDURE new_dbt_tas_dist_t
     176             :    END INTERFACE
     177             : 
     178             :    INTERFACE dbt_tas_blk_size_t
     179             :       MODULE PROCEDURE new_dbt_tas_blk_size_t
     180             :    END INTERFACE
     181             : 
     182             : CONTAINS
     183             : 
     184             : ! **************************************************************************************************
     185             : !> \brief Create distribution object for one matrix dimension
     186             : !> \param nd_dist arrays for distribution vectors along all dimensions
     187             : !> \param map_blks tensor to matrix mapping object for blocks
     188             : !> \param map_grid tensor to matrix mapping object for process grid
     189             : !> \param which_dim for which dimension (1 or 2) distribution should be created
     190             : !> \return distribution object
     191             : !> \author Patrick Seewald
     192             : ! **************************************************************************************************
     193      861388 :    FUNCTION new_dbt_tas_dist_t(nd_dist, map_blks, map_grid, which_dim)
     194             :       TYPE(array_list), INTENT(IN)       :: nd_dist
     195             :       TYPE(nd_to_2d_mapping), INTENT(IN) :: map_blks, map_grid
     196             :       INTEGER, INTENT(IN)                :: which_dim
     197             : 
     198             :       TYPE(dbt_tas_dist_t)               :: new_dbt_tas_dist_t
     199             :       INTEGER, DIMENSION(2)              :: grid_dims
     200             :       INTEGER(KIND=int_8), DIMENSION(2)  :: matrix_dims
     201      861388 :       INTEGER, DIMENSION(:), ALLOCATABLE :: index_map
     202             : 
     203      861388 :       IF (which_dim == 1) THEN
     204     1292082 :          ALLOCATE (new_dbt_tas_dist_t%dims(ndims_mapping_row(map_blks)))
     205     1292082 :          ALLOCATE (index_map(ndims_mapping_row(map_blks)))
     206             :          CALL dbt_get_mapping_info(map_blks, &
     207             :                                    dims_2d_i8=matrix_dims, &
     208             :                                    map1_2d=index_map, &
     209      430694 :                                    dims1_2d=new_dbt_tas_dist_t%dims)
     210     1292082 :          ALLOCATE (new_dbt_tas_dist_t%dims_grid(ndims_mapping_row(map_grid)))
     211             :          CALL dbt_get_mapping_info(map_grid, &
     212             :                                    dims_2d=grid_dims, &
     213      430694 :                                    dims1_2d=new_dbt_tas_dist_t%dims_grid)
     214      430694 :       ELSEIF (which_dim == 2) THEN
     215     1292082 :          ALLOCATE (new_dbt_tas_dist_t%dims(ndims_mapping_column(map_blks)))
     216     1292082 :          ALLOCATE (index_map(ndims_mapping_column(map_blks)))
     217             :          CALL dbt_get_mapping_info(map_blks, &
     218             :                                    dims_2d_i8=matrix_dims, &
     219             :                                    map2_2d=index_map, &
     220      430694 :                                    dims2_2d=new_dbt_tas_dist_t%dims)
     221     1292082 :          ALLOCATE (new_dbt_tas_dist_t%dims_grid(ndims_mapping_column(map_grid)))
     222             :          CALL dbt_get_mapping_info(map_grid, &
     223             :                                    dims_2d=grid_dims, &
     224      430694 :                                    dims2_2d=new_dbt_tas_dist_t%dims_grid)
     225             :       ELSE
     226           0 :          CPABORT("Unknown value for which_dim")
     227             :       END IF
     228             : 
     229      861388 :       new_dbt_tas_dist_t%nd_dist = array_sublist(nd_dist, index_map)
     230      861388 :       new_dbt_tas_dist_t%nprowcol = grid_dims(which_dim)
     231      861388 :       new_dbt_tas_dist_t%nmrowcol = matrix_dims(which_dim)
     232     1722776 :    END FUNCTION
     233             : 
     234             : ! **************************************************************************************************
     235             : !> \author Patrick Seewald
     236             : ! **************************************************************************************************
     237    29301316 :    FUNCTION tas_dist_t(t, rowcol)
     238             :       CLASS(dbt_tas_dist_t), INTENT(IN) :: t
     239             :       INTEGER(KIND=int_8), INTENT(IN) :: rowcol
     240             :       INTEGER, DIMENSION(${maxrank}$) :: ind_blk
     241             :       INTEGER, DIMENSION(${maxrank}$) :: dist_blk
     242             :       INTEGER :: tas_dist_t
     243             : 
     244    29301316 :       ind_blk(:SIZE(t%dims)) = split_tensor_index(rowcol, t%dims)
     245    29301316 :       dist_blk(:SIZE(t%dims)) = get_array_elements(t%nd_dist, ind_blk(:SIZE(t%dims)))
     246    29301316 :       tas_dist_t = combine_pgrid_index(dist_blk(:SIZE(t%dims)), t%dims_grid)
     247    29301316 :    END FUNCTION
     248             : 
     249             : ! **************************************************************************************************
     250             : !> \author Patrick Seewald
     251             : ! **************************************************************************************************
     252      896584 :    FUNCTION tas_rowcols_t(t, dist)
     253             :       CLASS(dbt_tas_dist_t), INTENT(IN) :: t
     254             :       INTEGER, INTENT(IN) :: dist
     255             :       INTEGER(KIND=int_8), DIMENSION(:), ALLOCATABLE :: tas_rowcols_t
     256             :       INTEGER, DIMENSION(${maxrank}$) :: dist_blk
     257      896584 :       INTEGER, DIMENSION(:), ALLOCATABLE :: ${varlist("dist")}$, ${varlist("blks")}$, blks_tmp, nd_ind
     258             :       INTEGER :: ${varlist("i")}$, i, iblk, iblk_count, nblks
     259             :       INTEGER(KIND=int_8) :: nrowcols
     260      896584 :       TYPE(array_list) :: blks
     261             : 
     262      896584 :       dist_blk(:SIZE(t%dims)) = split_pgrid_index(dist, t%dims_grid)
     263             : 
     264             :       #:for ndim in range(1, maxdim+1)
     265     1255836 :          IF (SIZE(t%dims) == ${ndim}$) THEN
     266      359252 :             CALL get_arrays(t%nd_dist, ${varlist("dist", nmax=ndim)}$)
     267             :          END IF
     268             :       #:endfor
     269             : 
     270             :       #:for idim in range(1, maxdim+1)
     271     2152616 :          IF (SIZE(t%dims) .GE. ${idim}$) THEN
     272     1256032 :             nblks = SIZE(dist_${idim}$)
     273     3768096 :             ALLOCATE (blks_tmp(nblks))
     274    13312192 :             iblk_count = 0
     275    13312192 :             DO iblk = 1, nblks
     276    13312192 :                IF (dist_${idim}$ (iblk) == dist_blk(${idim}$)) THEN
     277    10660794 :                   iblk_count = iblk_count + 1
     278    10660794 :                   blks_tmp(iblk_count) = iblk
     279             :                END IF
     280             :             END DO
     281     3763930 :             ALLOCATE (blks_${idim}$ (iblk_count))
     282    11916826 :             blks_${idim}$ (:) = blks_tmp(:iblk_count)
     283     1256032 :             DEALLOCATE (blks_tmp)
     284             :          END IF
     285             :       #:endfor
     286             : 
     287             :       #:for ndim in range(1, maxdim+1)
     288     1793168 :          IF (SIZE(t%dims) == ${ndim}$) THEN
     289      896584 :             CALL create_array_list(blks, ${ndim}$, ${varlist("blks", nmax=ndim)}$)
     290             :          END IF
     291             :       #:endfor
     292             : 
     293     2152616 :       nrowcols = PRODUCT(INT(sizes_of_arrays(blks), int_8))
     294     2685586 :       ALLOCATE (tas_rowcols_t(nrowcols))
     295             : 
     296             :       #:for ndim in range(1, maxdim+1)
     297     1793168 :          IF (SIZE(t%dims) == ${ndim}$) THEN
     298      896584 :             ALLOCATE (nd_ind(${ndim}$))
     299      896584 :             i = 0
     300             :             #:for idim in range(1,ndim+1)
     301    25262804 :                DO i_${idim}$ = 1, SIZE(blks_${idim}$)
     302             :                   #:endfor
     303    21169936 :                   i = i + 1
     304             : 
     305    57601822 :                   nd_ind(:) = get_array_elements(blks, [${varlist("i", nmax=ndim)}$])
     306    24902356 :                   tas_rowcols_t(i) = combine_tensor_index(nd_ind, t%dims)
     307             :                   #:for idim in range(1,ndim+1)
     308             :                      END DO
     309             :                   #:endfor
     310             :                END IF
     311             :             #:endfor
     312             : 
     313             :          END FUNCTION
     314             : 
     315             : ! **************************************************************************************************
     316             : !> \brief Create block size object for one matrix dimension
     317             : !> \param blk_size arrays for block sizes along all dimensions
     318             : !> \param map_blks tensor to matrix mapping object for blocks
     319             : !> \param which_dim for which dimension (1 or 2) distribution should be created
     320             : !> \return block size object
     321             : !> \author Patrick Seewald
     322             : ! **************************************************************************************************
     323      431218 :          FUNCTION new_dbt_tas_blk_size_t(blk_size, map_blks, which_dim)
     324             :             TYPE(array_list), INTENT(IN)                   :: blk_size
     325             :             TYPE(nd_to_2d_mapping), INTENT(IN)             :: map_blks
     326             :             INTEGER, INTENT(IN) :: which_dim
     327             :             INTEGER(KIND=int_8), DIMENSION(2) :: matrix_dims
     328      431218 :             INTEGER, DIMENSION(:), ALLOCATABLE :: index_map
     329             :             TYPE(dbt_tas_blk_size_t) :: new_dbt_tas_blk_size_t
     330             : 
     331      431218 :             IF (which_dim == 1) THEN
     332      646827 :                ALLOCATE (index_map(ndims_mapping_row(map_blks)))
     333      646827 :                ALLOCATE (new_dbt_tas_blk_size_t%dims(ndims_mapping_row(map_blks)))
     334             :                CALL dbt_get_mapping_info(map_blks, &
     335             :                                          dims_2d_i8=matrix_dims, &
     336             :                                          map1_2d=index_map, &
     337      215609 :                                          dims1_2d=new_dbt_tas_blk_size_t%dims)
     338      215609 :             ELSEIF (which_dim == 2) THEN
     339      646827 :                ALLOCATE (index_map(ndims_mapping_column(map_blks)))
     340      646827 :                ALLOCATE (new_dbt_tas_blk_size_t%dims(ndims_mapping_column(map_blks)))
     341             :                CALL dbt_get_mapping_info(map_blks, &
     342             :                                          dims_2d_i8=matrix_dims, &
     343             :                                          map2_2d=index_map, &
     344      215609 :                                          dims2_2d=new_dbt_tas_blk_size_t%dims)
     345             :             ELSE
     346           0 :                CPABORT("Unknown value for which_dim")
     347             :             END IF
     348             : 
     349      431218 :             new_dbt_tas_blk_size_t%blk_size = array_sublist(blk_size, index_map)
     350      431218 :             new_dbt_tas_blk_size_t%nmrowcol = matrix_dims(which_dim)
     351             : 
     352             :             new_dbt_tas_blk_size_t%nfullrowcol = PRODUCT(INT(sum_of_arrays(new_dbt_tas_blk_size_t%blk_size), &
     353      978537 :                                                              KIND=int_8))
     354      862436 :          END FUNCTION
     355             : 
     356             : ! **************************************************************************************************
     357             : !> \author Patrick Seewald
     358             : ! **************************************************************************************************
     359    13971320 :          FUNCTION tas_blk_size_t(t, rowcol)
     360             :             CLASS(dbt_tas_blk_size_t), INTENT(IN) :: t
     361             :             INTEGER(KIND=int_8), INTENT(IN) :: rowcol
     362             :             INTEGER :: tas_blk_size_t
     363    27942640 :             INTEGER, DIMENSION(SIZE(t%dims)) :: ind_blk
     364    27942640 :             INTEGER, DIMENSION(SIZE(t%dims)) :: blk_size
     365             : 
     366    13971320 :             ind_blk(:) = split_tensor_index(rowcol, t%dims)
     367    13971320 :             blk_size(:) = get_array_elements(t%blk_size, ind_blk)
     368    32470321 :             tas_blk_size_t = PRODUCT(blk_size)
     369             : 
     370    13971320 :          END FUNCTION
     371             : 
     372             : ! **************************************************************************************************
     373             : !> \brief load balancing criterion whether to accept process grid dimension based on total number of
     374             : !>        cores and tensor dimension
     375             : !> \param pdims_avail available process grid dimensions (total number of cores)
     376             : !> \param pdim process grid dimension to test
     377             : !> \param tdim tensor dimension corresponding to pdim
     378             : !> \param lb_ratio load imbalance acceptance factor
     379             : !> \author Patrick Seewald
     380             : ! **************************************************************************************************
     381       13624 :          PURE FUNCTION accept_pdims_loadbalancing(pdims_avail, pdim, tdim, lb_ratio)
     382             :             INTEGER, INTENT(IN) :: pdims_avail
     383             :             INTEGER, INTENT(IN) :: pdim
     384             :             INTEGER, INTENT(IN) :: tdim
     385             :             REAL(dp), INTENT(IN) :: lb_ratio
     386             :             LOGICAL :: accept_pdims_loadbalancing
     387             : 
     388       13624 :             accept_pdims_loadbalancing = .FALSE.
     389       13624 :             IF (MOD(pdims_avail, pdim) == 0) THEN
     390       11090 :                IF (REAL(tdim, dp)*lb_ratio < REAL(pdim, dp)) THEN
     391        8810 :                   IF (MOD(tdim, pdim) == 0) accept_pdims_loadbalancing = .TRUE.
     392             :                ELSE
     393             :                   accept_pdims_loadbalancing = .TRUE.
     394             :                END IF
     395             :             END IF
     396             : 
     397       13624 :          END FUNCTION
     398             : 
     399             : ! **************************************************************************************************
     400             : !> \brief Create process grid dimensions corresponding to one dimension of the matrix representation
     401             : !>        of a tensor, imposing that no process grid dimension is greater than the corresponding
     402             : !>        tensor dimension.
     403             : !> \param nodes Total number of nodes available for this matrix dimension
     404             : !> \param dims process grid dimension corresponding to tensor_dims
     405             : !> \param tensor_dims tensor dimensions
     406             : !> \param lb_ratio load imbalance acceptance factor
     407             : !> \author Patrick Seewald
     408             : ! **************************************************************************************************
     409        3468 :          RECURSIVE SUBROUTINE dbt_mp_dims_create(nodes, dims, tensor_dims, lb_ratio)
     410             :             INTEGER, INTENT(IN) :: nodes
     411             :             INTEGER, DIMENSION(:), INTENT(INOUT) :: dims
     412             :             INTEGER, DIMENSION(:), INTENT(IN) :: tensor_dims
     413             :             REAL(dp), INTENT(IN), OPTIONAL :: lb_ratio
     414             : 
     415        3468 :             INTEGER, DIMENSION(:), ALLOCATABLE :: tensor_dims_sorted, sort_indices, dims_store
     416        3468 :             REAL(dp), DIMENSION(:), ALLOCATABLE :: sort_key
     417             :             INTEGER :: pdims_rem, idim, pdim
     418             :             REAL(dp) :: lb_ratio_prv
     419             : 
     420        3468 :             IF (PRESENT(lb_ratio)) THEN
     421         550 :                lb_ratio_prv = lb_ratio
     422             :             ELSE
     423        2918 :                lb_ratio_prv = 0.1_dp
     424             :             END IF
     425             : 
     426       18092 :             ALLOCATE (dims_store, source=dims)
     427             : 
     428             :             ! get default process grid dimensions
     429        3468 :             IF (any(dims == 0)) THEN
     430        3468 :                CALL mp_dims_create(nodes, dims)
     431             :             END IF
     432             : 
     433             :             ! sort dimensions such that problematic grid dimensions (those who should be corrected) come first
     434       10404 :             ALLOCATE (sort_key(SIZE(tensor_dims)))
     435       11156 :             sort_key(:) = REAL(tensor_dims, dp)/dims
     436             : 
     437       18092 :             ALLOCATE (tensor_dims_sorted, source=tensor_dims)
     438       10404 :             ALLOCATE (sort_indices(SIZE(sort_key)))
     439        3468 :             CALL sort(sort_key, SIZE(sort_key), sort_indices)
     440       18844 :             tensor_dims_sorted(:) = tensor_dims_sorted(sort_indices)
     441       18844 :             dims(:) = dims(sort_indices)
     442             : 
     443             :             ! remaining number of nodes
     444        3468 :             pdims_rem = nodes
     445             : 
     446       10262 :             DO idim = 1, SIZE(tensor_dims_sorted)
     447       10262 :                IF (.NOT. accept_pdims_loadbalancing(pdims_rem, dims(idim), tensor_dims_sorted(idim), lb_ratio_prv)) THEN
     448        2236 :                   pdim = tensor_dims_sorted(idim)
     449        5936 :                   DO WHILE (.NOT. accept_pdims_loadbalancing(pdims_rem, pdim, tensor_dims_sorted(idim), lb_ratio_prv))
     450        3700 :                      pdim = pdim - 1
     451             :                   END DO
     452        2236 :                   dims(idim) = pdim
     453        2236 :                   pdims_rem = pdims_rem/dims(idim)
     454             : 
     455        2236 :                   IF (idim .NE. SIZE(tensor_dims_sorted)) THEN
     456        3232 :                      dims(idim + 1:) = 0
     457        1342 :                      CALL mp_dims_create(pdims_rem, dims(idim + 1:))
     458         894 :                   ELSEIF (lb_ratio_prv < 0.5_dp) THEN
     459             :                      ! resort to a less strict load imbalance factor
     460        1910 :                      dims(:) = dims_store
     461         550 :                      CALL dbt_mp_dims_create(nodes, dims, tensor_dims, 0.5_dp)
     462         550 :                      RETURN
     463             :                   ELSE
     464             :                      ! resort to default process grid dimensions
     465        1222 :                      dims(:) = dims_store
     466         344 :                      CALL mp_dims_create(nodes, dims)
     467         344 :                      RETURN
     468             :                   END IF
     469             : 
     470             :                ELSE
     471        5452 :                   pdims_rem = pdims_rem/dims(idim)
     472             :                END IF
     473             :             END DO
     474             : 
     475       13474 :             dims(sort_indices) = dims
     476             : 
     477        3468 :          END SUBROUTINE
     478             : 
     479             : ! **************************************************************************************************
     480             : !> \brief Create an n-dimensional process grid.
     481             : !>        We can not use a n-dimensional MPI cartesian grid for tensors since the mapping between
     482             : !>        n-dim. and 2-dim. index allows for an arbitrary reordering of tensor index. Therefore we
     483             : !>        can not use n-dim. MPI Cartesian grid because it may not be consistent with the respective
     484             : !>        2d grid. The 2d Cartesian MPI grid is the reference grid (since tensor data is stored as
     485             : !>        DBM matrix) and this routine creates an object that is a n-dim. interface to this grid.
     486             : !>        map1_2d and map2_2d don't need to be specified (correctly), grid may be redefined in
     487             : !>        dbt_distribution_new. Note that pgrid is equivalent to a MPI cartesian grid only
     488             : !>        if map1_2d and map2_2d don't reorder indices (which is the case if
     489             : !>        [map1_2d, map2_2d] == [1, 2, ..., ndims]). Otherwise the mapping of grid coordinates to
     490             : !>        processes depends on the ordering of the indices and is not equivalent to a MPI cartesian
     491             : !>        grid.
     492             : !> \param mp_comm simple MPI Communicator
     493             : !> \param dims grid dimensions - if entries are 0, dimensions are chosen automatically.
     494             : !> \param pgrid n-dimensional grid object
     495             : !> \param map1_2d which nd-indices map to first matrix index and in which order
     496             : !> \param map2_2d which nd-indices map to first matrix index and in which order
     497             : !> \param tensor_dims tensor block dimensions. If present, process grid dimensions are created such
     498             : !>                    that good load balancing is ensured even if some of the tensor dimensions are
     499             : !>                    small (i.e. on the same order or smaller than nproc**(1/ndim) where ndim is
     500             : !>                    the tensor rank)
     501             : !> \param nsplit impose a constant split factor
     502             : !> \param dimsplit which matrix dimension to split
     503             : !> \author Patrick Seewald
     504             : ! **************************************************************************************************
     505     2182140 :          SUBROUTINE dbt_pgrid_create_expert(mp_comm, dims, pgrid, map1_2d, map2_2d, tensor_dims, nsplit, dimsplit)
     506             :             CLASS(mp_comm_type), INTENT(IN) :: mp_comm
     507             :             INTEGER, DIMENSION(:), INTENT(INOUT) :: dims
     508             :             TYPE(dbt_pgrid_type), INTENT(OUT) :: pgrid
     509             :             INTEGER, DIMENSION(:), INTENT(IN) :: map1_2d, map2_2d
     510             :             INTEGER, DIMENSION(:), INTENT(IN), OPTIONAL :: tensor_dims
     511             :             INTEGER, INTENT(IN), OPTIONAL :: nsplit, dimsplit
     512             :             INTEGER, DIMENSION(2) :: pdims_2d
     513             :             INTEGER :: nproc, ndims, handle
     514     2618568 :             TYPE(dbt_tas_split_info) :: info
     515             : 
     516             :             CHARACTER(LEN=*), PARAMETER :: routineN = 'dbt_pgrid_create_expert'
     517             : 
     518      436428 :             CALL timeset(routineN, handle)
     519             : 
     520      436428 :             ndims = SIZE(dims)
     521             : 
     522      436428 :             nproc = mp_comm%num_pe
     523     1538416 :             IF (ANY(dims == 0)) THEN
     524        2186 :                IF (.NOT. PRESENT(tensor_dims)) THEN
     525         942 :                   CALL mp_dims_create(nproc, dims)
     526             :                ELSE
     527        1244 :                   CALL dbt_mp_dims_create(nproc, dims, tensor_dims)
     528             :                END IF
     529             :             END IF
     530      436428 :             CALL create_nd_to_2d_mapping(pgrid%nd_index_grid, dims, map1_2d, map2_2d, base=0, col_major=.FALSE.)
     531      436428 :             CALL dbt_get_mapping_info(pgrid%nd_index_grid, dims_2d=pdims_2d)
     532      436428 :             CALL pgrid%mp_comm_2d%create(mp_comm, 2, pdims_2d)
     533             : 
     534      436428 :             IF (PRESENT(nsplit)) THEN
     535         776 :                CPASSERT(PRESENT(dimsplit))
     536         776 :                CALL dbt_tas_create_split(info, pgrid%mp_comm_2d, dimsplit, nsplit, opt_nsplit=.FALSE.)
     537         776 :                ALLOCATE (pgrid%tas_split_info, SOURCE=info)
     538             :             END IF
     539             : 
     540             :             ! store number of MPI ranks because we need it for PURE function dbt_max_nblks_local
     541      436428 :             pgrid%nproc = nproc
     542             : 
     543      436428 :             CALL timestop(handle)
     544      436428 :          END SUBROUTINE
     545             : 
     546             : ! **************************************************************************************************
     547             : !> \brief Create a default nd process topology that is consistent with a given 2d topology.
     548             : !>        Purpose: a nd tensor defined on the returned process grid can be represented as a DBM
     549             : !>        matrix with the given 2d topology.
     550             : !>        This is needed to enable contraction of 2 tensors (must have the same 2d process grid).
     551             : !> \param comm_2d communicator with 2-dimensional topology
     552             : !> \param map1_2d which nd-indices map to first matrix index and in which order
     553             : !> \param map2_2d which nd-indices map to second matrix index and in which order
     554             : !> \param dims_nd nd dimensions
     555             : !> \param pdims_2d if comm_2d does not have a cartesian topology associated, can input dimensions
     556             : !>                 with pdims_2d
     557             : !> \param tdims tensor block dimensions. If present, process grid dimensions are created such that
     558             : !>              good load balancing is ensured even if some of the tensor dimensions are small
     559             : !>              (i.e. on the same order or smaller than nproc**(1/ndim) where ndim is the tensor rank)
     560             : !> \return with nd cartesian grid
     561             : !> \author Patrick Seewald
     562             : ! **************************************************************************************************
     563       74321 :          FUNCTION dbt_nd_mp_comm(comm_2d, map1_2d, map2_2d, dims_nd, dims1_nd, dims2_nd, pdims_2d, tdims, &
     564             :                                  nsplit, dimsplit)
     565             :             CLASS(mp_comm_type), INTENT(IN)                               :: comm_2d
     566             :             INTEGER, DIMENSION(:), INTENT(IN)                 :: map1_2d, map2_2d
     567             :             INTEGER, DIMENSION(SIZE(map1_2d) + SIZE(map2_2d)), &
     568             :                INTENT(IN), OPTIONAL                           :: dims_nd
     569             :             INTEGER, DIMENSION(SIZE(map1_2d)), INTENT(IN), OPTIONAL :: dims1_nd
     570             :             INTEGER, DIMENSION(SIZE(map2_2d)), INTENT(IN), OPTIONAL :: dims2_nd
     571             :             INTEGER, DIMENSION(2), INTENT(IN), OPTIONAL           :: pdims_2d
     572             :             INTEGER, DIMENSION(SIZE(map1_2d) + SIZE(map2_2d)), &
     573             :                INTENT(IN), OPTIONAL                           :: tdims
     574             :             INTEGER, INTENT(IN), OPTIONAL :: nsplit, dimsplit
     575             :             INTEGER                                           :: ndim1, ndim2
     576             :             INTEGER, DIMENSION(2)                             :: dims_2d
     577             : 
     578      117014 :             INTEGER, DIMENSION(SIZE(map1_2d)) :: dims1_nd_prv
     579      117014 :             INTEGER, DIMENSION(SIZE(map2_2d)) :: dims2_nd_prv
     580      117014 :             INTEGER, DIMENSION(SIZE(map1_2d) + SIZE(map2_2d)) :: dims_nd_prv
     581             :             INTEGER                                           :: handle
     582             :             CHARACTER(LEN=*), PARAMETER :: routineN = 'dbt_nd_mp_comm'
     583             :             TYPE(dbt_pgrid_type)                          :: dbt_nd_mp_comm
     584             : 
     585       58507 :             CALL timeset(routineN, handle)
     586             : 
     587       58507 :             ndim1 = SIZE(map1_2d); ndim2 = SIZE(map2_2d)
     588             : 
     589       58507 :             IF (PRESENT(pdims_2d)) THEN
     590       26042 :                dims_2d(:) = pdims_2d
     591             :             ELSE
     592             : ! This branch allows us to call this routine with a plain mp_comm_type without actually requiring an mp_cart_type
     593             : ! In a few cases in CP2K, this prevents erroneous calls to mpi_cart_get with a non-cartesian communicator
     594             :                SELECT TYPE (comm_2d)
     595             :                CLASS IS (mp_cart_type)
     596       97395 :                   dims_2d = comm_2d%num_pe_cart
     597             :                CLASS DEFAULT
     598             :                   CALL cp_abort(__LOCATION__, "If the argument pdims_2d is not given, the "// &
     599           0 :                                 "communicator comm_2d must be of class mp_cart_type.")
     600             :                END SELECT
     601             :             END IF
     602             : 
     603       58507 :             IF (.NOT. PRESENT(dims_nd)) THEN
     604      267137 :                dims1_nd_prv = 0; dims2_nd_prv = 0
     605       58507 :                IF (PRESENT(dims1_nd)) THEN
     606       22946 :                   dims1_nd_prv(:) = dims1_nd
     607             :                ELSE
     608             : 
     609       50813 :                   IF (PRESENT(tdims)) THEN
     610        1552 :                      CALL dbt_mp_dims_create(dims_2d(1), dims1_nd_prv, tdims(map1_2d))
     611             :                   ELSE
     612       50037 :                      CALL mp_dims_create(dims_2d(1), dims1_nd_prv)
     613             :                   END IF
     614             :                END IF
     615             : 
     616       58507 :                IF (PRESENT(dims2_nd)) THEN
     617       22024 :                   dims2_nd_prv(:) = dims2_nd
     618             :                ELSE
     619       51163 :                   IF (PRESENT(tdims)) THEN
     620        2328 :                      CALL dbt_mp_dims_create(dims_2d(2), dims2_nd_prv, tdims(map2_2d))
     621             :                   ELSE
     622       50387 :                      CALL mp_dims_create(dims_2d(2), dims2_nd_prv)
     623             :                   END IF
     624             :                END IF
     625      141869 :                dims_nd_prv(map1_2d) = dims1_nd_prv
     626      125268 :                dims_nd_prv(map2_2d) = dims2_nd_prv
     627             :             ELSE
     628           0 :                CPASSERT(PRODUCT(dims_nd(map1_2d)) == dims_2d(1))
     629           0 :                CPASSERT(PRODUCT(dims_nd(map2_2d)) == dims_2d(2))
     630           0 :                dims_nd_prv = dims_nd
     631             :             END IF
     632             : 
     633             :             CALL dbt_pgrid_create_expert(comm_2d, dims_nd_prv, dbt_nd_mp_comm, &
     634      116238 :                                          tensor_dims=tdims, map1_2d=map1_2d, map2_2d=map2_2d, nsplit=nsplit, dimsplit=dimsplit)
     635             : 
     636       58507 :             CALL timestop(handle)
     637             : 
     638      242498 :          END FUNCTION
     639             : 
     640             : ! **************************************************************************************************
     641             : !> \brief Release the MPI communicator.
     642             : !> \author Patrick Seewald
     643             : ! **************************************************************************************************
     644           0 :          SUBROUTINE dbt_nd_mp_free(mp_comm)
     645             :             TYPE(mp_comm_type), INTENT(INOUT)                               :: mp_comm
     646             : 
     647           0 :             CALL mp_comm%free()
     648           0 :          END SUBROUTINE dbt_nd_mp_free
     649             : 
     650             : ! **************************************************************************************************
     651             : !> \brief remap a process grid (needed when mapping between tensor and matrix index is changed)
     652             : !> \param map1_2d new mapping
     653             : !> \param map2_2d new mapping
     654             : !> \author Patrick Seewald
     655             : ! **************************************************************************************************
     656     1871675 :          SUBROUTINE dbt_pgrid_remap(pgrid_in, map1_2d, map2_2d, pgrid_out)
     657             :             TYPE(dbt_pgrid_type), INTENT(IN) :: pgrid_in
     658             :             INTEGER, DIMENSION(:), INTENT(IN) :: map1_2d, map2_2d
     659             :             TYPE(dbt_pgrid_type), INTENT(OUT) :: pgrid_out
     660      374335 :             INTEGER, DIMENSION(:), ALLOCATABLE :: dims
     661      748670 :             INTEGER, DIMENSION(ndims_mapping_row(pgrid_in%nd_index_grid)) :: map1_2d_old
     662      374335 :             INTEGER, DIMENSION(ndims_mapping_column(pgrid_in%nd_index_grid)) :: map2_2d_old
     663             : 
     664     1123005 :             ALLOCATE (dims(SIZE(map1_2d) + SIZE(map2_2d)))
     665      374335 :             CALL dbt_get_mapping_info(pgrid_in%nd_index_grid, dims_nd=dims, map1_2d=map1_2d_old, map2_2d=map2_2d_old)
     666      374335 :             CALL dbt_pgrid_create_expert(pgrid_in%mp_comm_2d, dims, pgrid_out, map1_2d=map1_2d, map2_2d=map2_2d)
     667      374335 :             IF (array_eq_i(map1_2d_old, map1_2d) .AND. array_eq_i(map2_2d_old, map2_2d)) THEN
     668      371197 :                IF (ALLOCATED(pgrid_in%tas_split_info)) THEN
     669      356503 :                   ALLOCATE (pgrid_out%tas_split_info, SOURCE=pgrid_in%tas_split_info)
     670      356503 :                   CALL dbt_tas_info_hold(pgrid_out%tas_split_info)
     671             :                END IF
     672             :             END IF
     673      374335 :          END SUBROUTINE
     674             : 
     675             : ! **************************************************************************************************
     676             : !> \brief as mp_environ but for special pgrid type
     677             : !> \author Patrick Seewald
     678             : ! **************************************************************************************************
     679      829198 :          SUBROUTINE mp_environ_pgrid(pgrid, dims, task_coor)
     680             :             TYPE(dbt_pgrid_type), INTENT(IN) :: pgrid
     681             :             INTEGER, DIMENSION(ndims_mapping(pgrid%nd_index_grid)), INTENT(OUT) :: dims
     682             :             INTEGER, DIMENSION(ndims_mapping(pgrid%nd_index_grid)), INTENT(OUT) :: task_coor
     683             :             INTEGER, DIMENSION(2)                                          :: task_coor_2d
     684             : 
     685     2487594 :             task_coor_2d = pgrid%mp_comm_2d%mepos_cart
     686      829198 :             CALL dbt_get_mapping_info(pgrid%nd_index_grid, dims_nd=dims)
     687      829198 :             task_coor = get_nd_indices_pgrid(pgrid%nd_index_grid, task_coor_2d)
     688      829198 :          END SUBROUTINE
     689             : 
     690             : ! **************************************************************************************************
     691             : !> \brief Create a tensor distribution.
     692             : !> \param pgrid process grid
     693             : !> \param map1_2d which nd-indices map to first matrix index and in which order
     694             : !> \param map2_2d which nd-indices map to second matrix index and in which order
     695             : !> \param own_comm whether distribution should own communicator
     696             : !> \author Patrick Seewald
     697             : ! **************************************************************************************************
     698     3876246 :          SUBROUTINE dbt_distribution_new_expert(dist, pgrid, map1_2d, map2_2d, ${varlist("nd_dist")}$, own_comm)
     699             :             TYPE(dbt_distribution_type), INTENT(OUT)    :: dist
     700             :             TYPE(dbt_pgrid_type), INTENT(IN)            :: pgrid
     701             :             INTEGER, DIMENSION(:), INTENT(IN)               :: map1_2d
     702             :             INTEGER, DIMENSION(:), INTENT(IN)               :: map2_2d
     703             :             INTEGER, DIMENSION(:), INTENT(IN), OPTIONAL     :: ${varlist("nd_dist")}$
     704             :             LOGICAL, INTENT(IN), OPTIONAL                   :: own_comm
     705             :             INTEGER                                         :: ndims
     706      430694 :             TYPE(mp_cart_type)                              :: comm_2d
     707             :             INTEGER, DIMENSION(2)                           :: pdims_2d_check, &
     708             :                                                                pdims_2d
     709     2584164 :             INTEGER, DIMENSION(SIZE(map1_2d) + SIZE(map2_2d)) :: dims, nblks_nd, task_coor
     710      430694 :             TYPE(array_list)                                :: nd_dist
     711     2153470 :             TYPE(nd_to_2d_mapping)                          :: map_blks, map_grid
     712             :             INTEGER                                         :: handle
     713      861388 :             TYPE(dbt_tas_dist_t)                          :: row_dist_obj, col_dist_obj
     714     1292082 :             TYPE(dbt_pgrid_type)                        :: pgrid_prv
     715             :             LOGICAL                                         :: need_pgrid_remap
     716      861388 :             INTEGER, DIMENSION(ndims_mapping_row(pgrid%nd_index_grid)) :: map1_2d_check
     717      430694 :             INTEGER, DIMENSION(ndims_mapping_column(pgrid%nd_index_grid)) :: map2_2d_check
     718             :             CHARACTER(LEN=*), PARAMETER :: routineN = 'dbt_distribution_new_expert'
     719             : 
     720      430694 :             CALL timeset(routineN, handle)
     721      430694 :             ndims = SIZE(map1_2d) + SIZE(map2_2d)
     722      430694 :             CPASSERT(ndims .GE. 2 .AND. ndims .LE. ${maxdim}$)
     723             : 
     724     1060404 :             CALL create_array_list(nd_dist, ndims, ${varlist("nd_dist")}$)
     725             : 
     726     1523760 :             nblks_nd(:) = sizes_of_arrays(nd_dist)
     727             : 
     728      430694 :             need_pgrid_remap = .TRUE.
     729      430694 :             IF (PRESENT(own_comm)) THEN
     730       56359 :                CALL dbt_get_mapping_info(pgrid%nd_index_grid, map1_2d=map1_2d_check, map2_2d=map2_2d_check)
     731       56359 :                IF (own_comm) THEN
     732       56359 :                   IF (.NOT. array_eq_i(map1_2d_check, map1_2d) .OR. .NOT. array_eq_i(map2_2d_check, map2_2d)) THEN
     733           0 :                      CPABORT("map1_2d / map2_2d are not consistent with pgrid")
     734             :                   END IF
     735       56359 :                   pgrid_prv = pgrid
     736             :                   need_pgrid_remap = .FALSE.
     737             :                END IF
     738             :             END IF
     739             : 
     740      374335 :             IF (need_pgrid_remap) CALL dbt_pgrid_remap(pgrid, map1_2d, map2_2d, pgrid_prv)
     741             : 
     742             :             ! check that 2d process topology is consistent with nd topology.
     743      430694 :             CALL mp_environ_pgrid(pgrid_prv, dims, task_coor)
     744             : 
     745             :             ! process grid index mapping
     746      430694 :             CALL create_nd_to_2d_mapping(map_grid, dims, map1_2d, map2_2d, base=0, col_major=.FALSE.)
     747             : 
     748             :             ! blk index mapping
     749      430694 :             CALL create_nd_to_2d_mapping(map_blks, nblks_nd, map1_2d, map2_2d)
     750             : 
     751      430694 :             row_dist_obj = dbt_tas_dist_t(nd_dist, map_blks, map_grid, 1)
     752      430694 :             col_dist_obj = dbt_tas_dist_t(nd_dist, map_blks, map_grid, 2)
     753             : 
     754      430694 :             CALL dbt_get_mapping_info(map_grid, dims_2d=pdims_2d)
     755             : 
     756      430694 :             comm_2d = pgrid_prv%mp_comm_2d
     757             : 
     758     1292082 :             pdims_2d_check = comm_2d%num_pe_cart
     759     1292082 :             IF (ANY(pdims_2d_check .NE. pdims_2d)) THEN
     760           0 :                CPABORT("inconsistent process grid dimensions")
     761             :             END IF
     762             : 
     763      430694 :             IF (ALLOCATED(pgrid_prv%tas_split_info)) THEN
     764      356503 :                CALL dbt_tas_distribution_new(dist%dist, comm_2d, row_dist_obj, col_dist_obj, split_info=pgrid_prv%tas_split_info)
     765             :             ELSE
     766       74191 :                CALL dbt_tas_distribution_new(dist%dist, comm_2d, row_dist_obj, col_dist_obj)
     767       74191 :                ALLOCATE (pgrid_prv%tas_split_info, SOURCE=dist%dist%info)
     768       74191 :                CALL dbt_tas_info_hold(pgrid_prv%tas_split_info)
     769             :             END IF
     770             : 
     771      430694 :             dist%nd_dist = nd_dist
     772      430694 :             dist%pgrid = pgrid_prv
     773             : 
     774      430694 :             ALLOCATE (dist%refcount)
     775      430694 :             dist%refcount = 1
     776      430694 :             CALL timestop(handle)
     777             : 
     778      430694 :          END SUBROUTINE
     779             : 
     780             : ! **************************************************************************************************
     781             : !> \brief Create a tensor distribution.
     782             : !> \param pgrid process grid
     783             : !> \param nd_dist_i distribution vectors for all tensor dimensions
     784             : !> \author Patrick Seewald
     785             : ! **************************************************************************************************
     786      139158 :          SUBROUTINE dbt_distribution_new(dist, pgrid, ${varlist("nd_dist")}$)
     787             :             TYPE(dbt_distribution_type), INTENT(OUT)    :: dist
     788             :             TYPE(dbt_pgrid_type), INTENT(IN)            :: pgrid
     789             :             INTEGER, DIMENSION(:), INTENT(IN), OPTIONAL     :: ${varlist("nd_dist")}$
     790       30924 :             INTEGER, DIMENSION(ndims_mapping_row(pgrid%nd_index_grid)) :: map1_2d
     791       15462 :             INTEGER, DIMENSION(ndims_mapping_column(pgrid%nd_index_grid)) :: map2_2d
     792             :             INTEGER :: ndims
     793             : 
     794       15462 :             CALL dbt_get_mapping_info(pgrid%nd_index_grid, map1_2d=map1_2d, map2_2d=map2_2d, ndim_nd=ndims)
     795             : 
     796       38810 :             CALL dbt_distribution_new_expert(dist, pgrid, map1_2d, map2_2d, ${varlist("nd_dist")}$)
     797             : 
     798       15462 :          END SUBROUTINE
     799             : 
     800             : ! **************************************************************************************************
     801             : !> \brief destroy process grid
     802             : !> \param keep_comm  if .TRUE. communicator is not freed
     803             : !> \author Patrick Seewald
     804             : ! **************************************************************************************************
     805     1460507 :          SUBROUTINE dbt_pgrid_destroy(pgrid, keep_comm)
     806             :             TYPE(dbt_pgrid_type), INTENT(INOUT) :: pgrid
     807             :             LOGICAL, INTENT(IN), OPTIONAL           :: keep_comm
     808             :             LOGICAL :: keep_comm_prv
     809     1460507 :             IF (PRESENT(keep_comm)) THEN
     810     1024079 :                keep_comm_prv = keep_comm
     811             :             ELSE
     812             :                keep_comm_prv = .FALSE.
     813             :             END IF
     814     1460507 :             IF (.NOT. keep_comm_prv) CALL pgrid%mp_comm_2d%free()
     815     1460507 :             CALL destroy_nd_to_2d_mapping(pgrid%nd_index_grid)
     816     1460507 :             IF (ALLOCATED(pgrid%tas_split_info) .AND. .NOT. keep_comm_prv) THEN
     817      431470 :                CALL dbt_tas_release_info(pgrid%tas_split_info)
     818      431470 :                DEALLOCATE (pgrid%tas_split_info)
     819             :             END IF
     820     1460507 :          END SUBROUTINE
     821             : 
     822             : ! **************************************************************************************************
     823             : !> \brief Destroy tensor distribution
     824             : !> \author Patrick Seewald
     825             : ! **************************************************************************************************
     826      430694 :          SUBROUTINE dbt_distribution_destroy(dist)
     827             :             TYPE(dbt_distribution_type), INTENT(INOUT) :: dist
     828             :             INTEGER                                   :: handle
     829             :             CHARACTER(LEN=*), PARAMETER :: routineN = 'dbt_distribution_destroy'
     830             :             LOGICAL :: abort
     831             : 
     832      430694 :             CALL timeset(routineN, handle)
     833      430694 :             CALL dbt_tas_distribution_destroy(dist%dist)
     834      430694 :             CALL destroy_array_list(dist%nd_dist)
     835             : 
     836      430694 :             abort = .FALSE.
     837      430694 :             IF (.NOT. ASSOCIATED(dist%refcount)) THEN
     838             :                abort = .TRUE.
     839      430694 :             ELSEIF (dist%refcount < 1) THEN
     840             :                abort = .TRUE.
     841             :             END IF
     842             : 
     843             :             IF (abort) THEN
     844           0 :                CPABORT("can not destroy non-existing tensor distribution")
     845             :             END IF
     846             : 
     847      430694 :             dist%refcount = dist%refcount - 1
     848             : 
     849      430694 :             IF (dist%refcount == 0) THEN
     850      215085 :                CALL dbt_pgrid_destroy(dist%pgrid)
     851      215085 :                DEALLOCATE (dist%refcount)
     852             :             ELSE
     853      215609 :                CALL dbt_pgrid_destroy(dist%pgrid, keep_comm=.TRUE.)
     854             :             END IF
     855             : 
     856      430694 :             CALL timestop(handle)
     857      430694 :          END SUBROUTINE
     858             : 
     859             : ! **************************************************************************************************
     860             : !> \brief reference counting for distribution
     861             : !>        (only needed for communicator handle that must be freed when no longer needed)
     862             : !> \author Patrick Seewald
     863             : ! **************************************************************************************************
     864      215609 :          SUBROUTINE dbt_distribution_hold(dist)
     865             :             TYPE(dbt_distribution_type), INTENT(IN) :: dist
     866             :             INTEGER, POINTER                            :: ref
     867             : 
     868      215609 :             IF (dist%refcount < 1) THEN
     869           0 :                CPABORT("can not hold non-existing tensor distribution")
     870             :             END IF
     871      215609 :             ref => dist%refcount
     872      215609 :             ref = ref + 1
     873      215609 :          END SUBROUTINE
     874             : 
     875             : ! **************************************************************************************************
     876             : !> \brief get distribution from tensor
     877             : !> \return distribution
     878             : !> \author Patrick Seewald
     879             : ! **************************************************************************************************
     880      158642 :          FUNCTION dbt_distribution(tensor)
     881             :             TYPE(dbt_type), INTENT(IN)  :: tensor
     882             :             TYPE(dbt_distribution_type) :: dbt_distribution
     883             : 
     884      158642 :             CALL dbt_tas_get_info(tensor%matrix_rep, distribution=dbt_distribution%dist)
     885      158642 :             dbt_distribution%pgrid = tensor%pgrid
     886      158642 :             dbt_distribution%nd_dist = tensor%nd_dist
     887             :             dbt_distribution%refcount => dbt_distribution%refcount
     888     1110494 :          END FUNCTION
     889             : 
     890             : ! **************************************************************************************************
     891             : !> \author Patrick Seewald
     892             : ! **************************************************************************************************
     893     2371699 :          SUBROUTINE dbt_distribution_remap(dist_in, map1_2d, map2_2d, dist_out)
     894             :             TYPE(dbt_distribution_type), INTENT(IN)    :: dist_in
     895             :             INTEGER, DIMENSION(:), INTENT(IN) :: map1_2d, map2_2d
     896             :             TYPE(dbt_distribution_type), INTENT(OUT)    :: dist_out
     897      215609 :             INTEGER, DIMENSION(:), ALLOCATABLE :: ${varlist("dist")}$
     898             :             INTEGER :: ndims
     899      215609 :             ndims = SIZE(map1_2d) + SIZE(map2_2d)
     900             :             #:for ndim in range(1, maxdim+1)
     901      646523 :                IF (ndims == ${ndim}$) THEN
     902      215609 :                   CALL get_arrays(dist_in%nd_dist, ${varlist("dist", nmax=ndim)}$)
     903      215609 :                   CALL dbt_distribution_new_expert(dist_out, dist_in%pgrid, map1_2d, map2_2d, ${varlist("dist", nmax=ndim)}$)
     904             :                END IF
     905             :             #:endfor
     906      215609 :          END SUBROUTINE
     907             : 
     908             : ! **************************************************************************************************
     909             : !> \brief create a tensor.
     910             : !>        For performance, the arguments map1_2d and map2_2d (controlling matrix representation of
     911             : !>        tensor) should be consistent with the the contraction to be performed (see documentation
     912             : !>        of dbt_contract).
     913             : !> \param map1_2d which nd-indices to map to first 2d index and in which order
     914             : !> \param map2_2d which nd-indices to map to first 2d index and in which order
     915             : !> \param blk_size_i blk sizes in each dimension
     916             : !> \author Patrick Seewald
     917             : ! **************************************************************************************************
     918     2371699 :          SUBROUTINE dbt_create_new(tensor, name, dist, map1_2d, map2_2d, &
     919      215609 :                                    ${varlist("blk_size")}$)
     920             :             TYPE(dbt_type), INTENT(OUT)                   :: tensor
     921             :             CHARACTER(len=*), INTENT(IN)                      :: name
     922             :             TYPE(dbt_distribution_type), INTENT(INOUT)    :: dist
     923             :             INTEGER, DIMENSION(:), INTENT(IN)                 :: map1_2d
     924             :             INTEGER, DIMENSION(:), INTENT(IN)                 :: map2_2d
     925             :             INTEGER, DIMENSION(:), INTENT(IN), OPTIONAL       :: ${varlist("blk_size")}$
     926             :             INTEGER                                           :: ndims
     927             :             INTEGER(KIND=int_8), DIMENSION(2)                             :: dims_2d
     928     1078045 :             INTEGER, DIMENSION(SIZE(map1_2d) + SIZE(map2_2d)) :: dims, pdims, task_coor
     929      431218 :             TYPE(dbt_tas_blk_size_t)                        :: col_blk_size_obj, row_blk_size_obj
     930     1940481 :             TYPE(dbt_distribution_type)                   :: dist_new
     931      215609 :             TYPE(array_list)                                  :: blk_size, blks_local
     932      646827 :             TYPE(nd_to_2d_mapping)                            :: map
     933             :             INTEGER                                   :: handle
     934             :             CHARACTER(LEN=*), PARAMETER :: routineN = 'dbt_create_new'
     935      215609 :             INTEGER, DIMENSION(:), ALLOCATABLE              :: ${varlist("blks_local")}$
     936      215609 :             INTEGER, DIMENSION(:), ALLOCATABLE              :: ${varlist("dist")}$
     937             :             INTEGER                                         :: iblk_count, iblk
     938      215609 :             INTEGER, DIMENSION(:), ALLOCATABLE              :: nblks_local, nfull_local
     939             : 
     940      215609 :             CALL timeset(routineN, handle)
     941      215609 :             ndims = SIZE(map1_2d) + SIZE(map2_2d)
     942      530726 :             CALL create_array_list(blk_size, ndims, ${varlist("blk_size")}$)
     943      762928 :             dims = sizes_of_arrays(blk_size)
     944             : 
     945      215609 :             CALL create_nd_to_2d_mapping(map, dims, map1_2d, map2_2d)
     946      215609 :             CALL dbt_get_mapping_info(map, dims_2d_i8=dims_2d)
     947             : 
     948      215609 :             row_blk_size_obj = dbt_tas_blk_size_t(blk_size, map, 1)
     949      215609 :             col_blk_size_obj = dbt_tas_blk_size_t(blk_size, map, 2)
     950             : 
     951      215609 :             CALL dbt_distribution_remap(dist, map1_2d, map2_2d, dist_new)
     952             : 
     953     1509263 :             ALLOCATE (tensor%matrix_rep)
     954             :             CALL dbt_tas_create(matrix=tensor%matrix_rep, &
     955             :                                 name=TRIM(name)//" matrix", &
     956             :                                 dist=dist_new%dist, &
     957             :                                 row_blk_size=row_blk_size_obj, &
     958      215609 :                                 col_blk_size=col_blk_size_obj)
     959             : 
     960      215609 :             tensor%owns_matrix = .TRUE.
     961             : 
     962      215609 :             tensor%nd_index_blk = map
     963      215609 :             tensor%name = name
     964             : 
     965      215609 :             CALL dbt_tas_finalize(tensor%matrix_rep)
     966      215609 :             CALL destroy_nd_to_2d_mapping(map)
     967             : 
     968             :             ! map element-wise tensor index
     969      215609 :             CALL create_nd_to_2d_mapping(map, sum_of_arrays(blk_size), map1_2d, map2_2d)
     970      215609 :             tensor%nd_index = map
     971      215609 :             tensor%blk_sizes = blk_size
     972             : 
     973      215609 :             CALL mp_environ_pgrid(dist_new%pgrid, pdims, task_coor)
     974             : 
     975             :             #:for ndim in range(1, maxdim+1)
     976      431218 :                IF (ndims == ${ndim}$) THEN
     977      215609 :                   CALL get_arrays(dist_new%nd_dist, ${varlist("dist", nmax=ndim)}$)
     978             :                END IF
     979             :             #:endfor
     980             : 
     981      646827 :             ALLOCATE (nblks_local(ndims))
     982      431218 :             ALLOCATE (nfull_local(ndims))
     983      762928 :             nfull_local(:) = 0
     984             :             #:for idim in range(1, maxdim+1)
     985      762624 :                IF (ndims .GE. ${idim}$) THEN
     986     4703426 :                   nblks_local(${idim}$) = COUNT(dist_${idim}$ == task_coor(${idim}$))
     987     1640795 :                   ALLOCATE (blks_local_${idim}$ (nblks_local(${idim}$)))
     988      547319 :                   iblk_count = 0
     989     4703426 :                   DO iblk = 1, SIZE(dist_${idim}$)
     990     4703426 :                      IF (dist_${idim}$ (iblk) == task_coor(${idim}$)) THEN
     991     3731856 :                         iblk_count = iblk_count + 1
     992     3731856 :                         blks_local_${idim}$ (iblk_count) = iblk
     993     3731856 :                         nfull_local(${idim}$) = nfull_local(${idim}$) + blk_size_${idim}$ (iblk)
     994             :                      END IF
     995             :                   END DO
     996             :                END IF
     997             :             #:endfor
     998             : 
     999             :             #:for ndim in range(1, maxdim+1)
    1000      430914 :                IF (ndims == ${ndim}$) THEN
    1001      215609 :                   CALL create_array_list(blks_local, ${ndim}$, ${varlist("blks_local", nmax=ndim)}$)
    1002             :                END IF
    1003             :             #:endfor
    1004             : 
    1005      646827 :             ALLOCATE (tensor%nblks_local(ndims))
    1006      431218 :             ALLOCATE (tensor%nfull_local(ndims))
    1007      762928 :             tensor%nblks_local(:) = nblks_local
    1008      762928 :             tensor%nfull_local(:) = nfull_local
    1009             : 
    1010      215609 :             tensor%blks_local = blks_local
    1011             : 
    1012      215609 :             tensor%nd_dist = dist_new%nd_dist
    1013      215609 :             tensor%pgrid = dist_new%pgrid
    1014             : 
    1015      215609 :             CALL dbt_distribution_hold(dist_new)
    1016      215609 :             tensor%refcount => dist_new%refcount
    1017      215609 :             CALL dbt_distribution_destroy(dist_new)
    1018             : 
    1019      215609 :             CALL array_offsets(tensor%blk_sizes, tensor%blk_offsets)
    1020             : 
    1021      215609 :             tensor%valid = .TRUE.
    1022      215609 :             CALL timestop(handle)
    1023      646827 :          END SUBROUTINE
    1024             : 
    1025             : ! **************************************************************************************************
    1026             : !> \brief reference counting for tensors
    1027             : !>        (only needed for communicator handle that must be freed when no longer needed)
    1028             : !> \author Patrick Seewald
    1029             : ! **************************************************************************************************
    1030      808470 :          SUBROUTINE dbt_hold(tensor)
    1031             :             TYPE(dbt_type), INTENT(IN) :: tensor
    1032             :             INTEGER, POINTER :: ref
    1033             : 
    1034      808470 :             IF (tensor%refcount < 1) THEN
    1035           0 :                CPABORT("can not hold non-existing tensor")
    1036             :             END IF
    1037      808470 :             ref => tensor%refcount
    1038      808470 :             ref = ref + 1
    1039             : 
    1040      808470 :          END SUBROUTINE
    1041             : 
    1042             : ! **************************************************************************************************
    1043             : !> \brief how many tensor dimensions are mapped to matrix row
    1044             : !> \author Patrick Seewald
    1045             : ! **************************************************************************************************
    1046     1841462 :          PURE FUNCTION ndims_matrix_row(tensor)
    1047             :             TYPE(dbt_type), INTENT(IN) :: tensor
    1048             :             INTEGER(int_8) :: ndims_matrix_row
    1049             : 
    1050     1841462 :             ndims_matrix_row = ndims_mapping_row(tensor%nd_index_blk)
    1051             : 
    1052     1841462 :          END FUNCTION
    1053             : 
    1054             : ! **************************************************************************************************
    1055             : !> \brief how many tensor dimensions are mapped to matrix column
    1056             : !> \author Patrick Seewald
    1057             : ! **************************************************************************************************
    1058     1841462 :          PURE FUNCTION ndims_matrix_column(tensor)
    1059             :             TYPE(dbt_type), INTENT(IN) :: tensor
    1060             :             INTEGER(int_8) :: ndims_matrix_column
    1061             : 
    1062     1841462 :             ndims_matrix_column = ndims_mapping_column(tensor%nd_index_blk)
    1063     1841462 :          END FUNCTION
    1064             : 
    1065             : ! **************************************************************************************************
    1066             : !> \brief tensor rank
    1067             : !> \author Patrick Seewald
    1068             : ! **************************************************************************************************
    1069    96097609 :          PURE FUNCTION ndims_tensor(tensor)
    1070             :             TYPE(dbt_type), INTENT(IN) :: tensor
    1071             :             INTEGER                        :: ndims_tensor
    1072             : 
    1073    96097609 :             ndims_tensor = tensor%nd_index%ndim_nd
    1074    96097609 :          END FUNCTION
    1075             : 
    1076             : ! **************************************************************************************************
    1077             : !> \brief tensor dimensions
    1078             : !> \author Patrick Seewald
    1079             : ! **************************************************************************************************
    1080        3580 :          SUBROUTINE dims_tensor(tensor, dims)
    1081             :             TYPE(dbt_type), INTENT(IN)              :: tensor
    1082             :             INTEGER, DIMENSION(ndims_tensor(tensor)), &
    1083             :                INTENT(OUT)                              :: dims
    1084             : 
    1085        3580 :             CPASSERT(tensor%valid)
    1086       17176 :             dims = tensor%nd_index%dims_nd
    1087        3580 :          END SUBROUTINE
    1088             : 
    1089             : ! **************************************************************************************************
    1090             : !> \brief create a tensor from template
    1091             : !> \author Patrick Seewald
    1092             : ! **************************************************************************************************
    1093     2427930 :          SUBROUTINE dbt_create_template(tensor_in, tensor, name, dist, map1_2d, map2_2d)
    1094             :             TYPE(dbt_type), INTENT(INOUT)      :: tensor_in
    1095             :             TYPE(dbt_type), INTENT(OUT)        :: tensor
    1096             :             CHARACTER(len=*), INTENT(IN), OPTIONAL :: name
    1097             :             TYPE(dbt_distribution_type), &
    1098             :                INTENT(INOUT), OPTIONAL             :: dist
    1099             :             INTEGER, DIMENSION(:), INTENT(IN), &
    1100             :                OPTIONAL                            :: map1_2d, map2_2d
    1101             :             INTEGER                                :: handle
    1102             :             CHARACTER(LEN=*), PARAMETER :: routineN = 'dbt_create_template'
    1103      269770 :             INTEGER, DIMENSION(:), ALLOCATABLE     :: ${varlist("bsize")}$
    1104      269770 :             INTEGER, DIMENSION(:), ALLOCATABLE     :: map1_2d_prv, map2_2d_prv
    1105             :             CHARACTER(len=default_string_length)   :: name_prv
    1106     1888390 :             TYPE(dbt_distribution_type)        :: dist_prv
    1107             : 
    1108      269770 :             CALL timeset(routineN, handle)
    1109             : 
    1110      269770 :             IF (PRESENT(dist) .OR. PRESENT(map1_2d) .OR. PRESENT(map2_2d)) THEN
    1111             :                ! need to create matrix representation from scratch
    1112         340 :                IF (PRESENT(dist)) THEN
    1113           0 :                   dist_prv = dist
    1114             :                ELSE
    1115         340 :                   dist_prv = dbt_distribution(tensor_in)
    1116             :                END IF
    1117         340 :                IF (PRESENT(map1_2d) .AND. PRESENT(map2_2d)) THEN
    1118        1360 :                   ALLOCATE (map1_2d_prv, source=map1_2d)
    1119        1700 :                   ALLOCATE (map2_2d_prv, source=map2_2d)
    1120             :                ELSE
    1121           0 :                   ALLOCATE (map1_2d_prv(ndims_matrix_row(tensor_in)))
    1122           0 :                   ALLOCATE (map2_2d_prv(ndims_matrix_column(tensor_in)))
    1123           0 :                   CALL dbt_get_mapping_info(tensor_in%nd_index_blk, map1_2d=map1_2d_prv, map2_2d=map2_2d_prv)
    1124             :                END IF
    1125         340 :                IF (PRESENT(name)) THEN
    1126           0 :                   name_prv = name
    1127             :                ELSE
    1128         340 :                   name_prv = tensor_in%name
    1129             :                END IF
    1130             : 
    1131             :                #:for ndim in range(1, maxdim+1)
    1132        1020 :                   IF (ndims_tensor(tensor_in) == ${ndim}$) THEN
    1133         340 :                      CALL get_arrays(tensor_in%blk_sizes, ${varlist("bsize", nmax=ndim)}$)
    1134             :                      CALL dbt_create(tensor, name_prv, dist_prv, map1_2d_prv, map2_2d_prv, &
    1135         340 :                                      ${varlist("bsize", nmax=ndim)}$)
    1136             :                   END IF
    1137             :                #:endfor
    1138             :             ELSE
    1139             :                ! create matrix representation from template
    1140     1347150 :                ALLOCATE (tensor%matrix_rep)
    1141      269430 :                IF (.NOT. PRESENT(name)) THEN
    1142             :                   CALL dbt_tas_create(tensor_in%matrix_rep, tensor%matrix_rep, &
    1143      253290 :                                       name=TRIM(tensor_in%name)//" matrix")
    1144             :                ELSE
    1145       16140 :                   CALL dbt_tas_create(tensor_in%matrix_rep, tensor%matrix_rep, name=TRIM(name)//" matrix")
    1146             :                END IF
    1147      269430 :                tensor%owns_matrix = .TRUE.
    1148      269430 :                CALL dbt_tas_finalize(tensor%matrix_rep)
    1149             : 
    1150      269430 :                tensor%nd_index_blk = tensor_in%nd_index_blk
    1151      269430 :                tensor%nd_index = tensor_in%nd_index
    1152      269430 :                tensor%blk_sizes = tensor_in%blk_sizes
    1153      269430 :                tensor%blk_offsets = tensor_in%blk_offsets
    1154      269430 :                tensor%nd_dist = tensor_in%nd_dist
    1155      269430 :                tensor%blks_local = tensor_in%blks_local
    1156      808290 :                ALLOCATE (tensor%nblks_local(ndims_tensor(tensor_in)))
    1157      998834 :                tensor%nblks_local(:) = tensor_in%nblks_local
    1158      808290 :                ALLOCATE (tensor%nfull_local(ndims_tensor(tensor_in)))
    1159      998834 :                tensor%nfull_local(:) = tensor_in%nfull_local
    1160      269430 :                tensor%pgrid = tensor_in%pgrid
    1161             : 
    1162      269430 :                tensor%refcount => tensor_in%refcount
    1163      269430 :                CALL dbt_hold(tensor)
    1164             : 
    1165      269430 :                tensor%valid = .TRUE.
    1166      269430 :                IF (PRESENT(name)) THEN
    1167       16140 :                   tensor%name = name
    1168             :                ELSE
    1169      253290 :                   tensor%name = tensor_in%name
    1170             :                END IF
    1171             :             END IF
    1172      269770 :             CALL timestop(handle)
    1173      539540 :          END SUBROUTINE
    1174             : 
    1175             : ! **************************************************************************************************
    1176             : !> \brief Create 2-rank tensor from matrix.
    1177             : !> \author Patrick Seewald
    1178             : ! **************************************************************************************************
    1179      238940 :          SUBROUTINE dbt_create_matrix(matrix_in, tensor, order, name)
    1180             :             TYPE(dbcsr_type), INTENT(IN)                :: matrix_in
    1181             :             TYPE(dbt_type), INTENT(OUT)        :: tensor
    1182             :             INTEGER, DIMENSION(2), INTENT(IN), OPTIONAL :: order
    1183             :             CHARACTER(len=*), INTENT(IN), OPTIONAL      :: name
    1184             : 
    1185             :             CHARACTER(len=default_string_length)        :: name_in
    1186             :             INTEGER, DIMENSION(2)                       :: order_in
    1187             :             TYPE(mp_comm_type)                          :: comm_2d
    1188             :             TYPE(dbcsr_distribution_type)               :: matrix_dist
    1189      215046 :             TYPE(dbt_distribution_type)                 :: dist
    1190       47788 :             INTEGER, DIMENSION(:), POINTER              :: row_blk_size, col_blk_size
    1191       47788 :             INTEGER, DIMENSION(:), POINTER              :: col_dist, row_dist
    1192             :             INTEGER                                   :: handle, comm_2d_handle
    1193             :             CHARACTER(LEN=*), PARAMETER :: routineN = 'dbt_create_matrix'
    1194       71682 :             TYPE(dbt_pgrid_type)                  :: comm_nd
    1195             :             INTEGER, DIMENSION(2)                     :: pdims_2d
    1196             : 
    1197       23894 :             CALL timeset(routineN, handle)
    1198             : 
    1199       23894 :             NULLIFY (row_blk_size, col_blk_size, col_dist, row_dist)
    1200       23894 :             IF (PRESENT(name)) THEN
    1201         660 :                name_in = name
    1202             :             ELSE
    1203       23234 :                CALL dbcsr_get_info(matrix_in, name=name_in)
    1204             :             END IF
    1205             : 
    1206       23894 :             IF (PRESENT(order)) THEN
    1207           0 :                order_in = order
    1208             :             ELSE
    1209       23894 :                order_in = [1, 2]
    1210             :             END IF
    1211             : 
    1212       23894 :             CALL dbcsr_get_info(matrix_in, distribution=matrix_dist)
    1213             :             CALL dbcsr_distribution_get(matrix_dist, group=comm_2d_handle, row_dist=row_dist, col_dist=col_dist, &
    1214       23894 :                                         nprows=pdims_2d(1), npcols=pdims_2d(2))
    1215       23894 :             CALL comm_2d%set_handle(comm_2d_handle)
    1216       71682 :             comm_nd = dbt_nd_mp_comm(comm_2d, [order_in(1)], [order_in(2)], pdims_2d=pdims_2d)
    1217             : 
    1218             :             CALL dbt_distribution_new_expert( &
    1219             :                dist, &
    1220             :                comm_nd, &
    1221             :                [order_in(1)], [order_in(2)], &
    1222       71682 :                row_dist, col_dist, own_comm=.TRUE.)
    1223             : 
    1224       23894 :             CALL dbcsr_get_info(matrix_in, row_blk_size=row_blk_size, col_blk_size=col_blk_size)
    1225             : 
    1226             :             CALL dbt_create_new(tensor, name_in, dist, &
    1227             :                                 [order_in(1)], [order_in(2)], &
    1228             :                                 row_blk_size, &
    1229       71682 :                                 col_blk_size)
    1230             : 
    1231       23894 :             CALL dbt_distribution_destroy(dist)
    1232       23894 :             CALL timestop(handle)
    1233      119470 :          END SUBROUTINE
    1234             : 
    1235             : ! **************************************************************************************************
    1236             : !> \brief Destroy a tensor
    1237             : !> \author Patrick Seewald
    1238             : ! **************************************************************************************************
    1239     1024079 :          SUBROUTINE dbt_destroy(tensor)
    1240             :             TYPE(dbt_type), INTENT(INOUT) :: tensor
    1241             :             INTEGER                                   :: handle
    1242             :             CHARACTER(LEN=*), PARAMETER :: routineN = 'dbt_destroy'
    1243             :             LOGICAL :: abort
    1244             : 
    1245     1024079 :             CALL timeset(routineN, handle)
    1246     1024079 :             IF (tensor%owns_matrix) THEN
    1247      485039 :                CALL dbt_tas_destroy(tensor%matrix_rep)
    1248      485039 :                DEALLOCATE (tensor%matrix_rep)
    1249             :             ELSE
    1250      539040 :                NULLIFY (tensor%matrix_rep)
    1251             :             END IF
    1252     1024079 :             tensor%owns_matrix = .FALSE.
    1253             : 
    1254     1024079 :             CALL destroy_nd_to_2d_mapping(tensor%nd_index_blk)
    1255     1024079 :             CALL destroy_nd_to_2d_mapping(tensor%nd_index)
    1256             :             !CALL destroy_nd_to_2d_mapping(tensor%nd_index_grid)
    1257     1024079 :             CALL destroy_array_list(tensor%blk_sizes)
    1258     1024079 :             CALL destroy_array_list(tensor%blk_offsets)
    1259     1024079 :             CALL destroy_array_list(tensor%nd_dist)
    1260     1024079 :             CALL destroy_array_list(tensor%blks_local)
    1261             : 
    1262     1024079 :             DEALLOCATE (tensor%nblks_local, tensor%nfull_local)
    1263             : 
    1264     1024079 :             abort = .FALSE.
    1265     1024079 :             IF (.NOT. ASSOCIATED(tensor%refcount)) THEN
    1266             :                abort = .TRUE.
    1267     1024079 :             ELSEIF (tensor%refcount < 1) THEN
    1268             :                abort = .TRUE.
    1269             :             END IF
    1270             : 
    1271             :             IF (abort) THEN
    1272           0 :                CPABORT("can not destroy non-existing tensor")
    1273             :             END IF
    1274             : 
    1275     1024079 :             tensor%refcount = tensor%refcount - 1
    1276             : 
    1277     1024079 :             IF (tensor%refcount == 0) THEN
    1278      215609 :                CALL dbt_pgrid_destroy(tensor%pgrid)
    1279             :                !CALL tensor%comm_2d%free()
    1280             :                !CALL tensor%comm_nd%free()
    1281      215609 :                DEALLOCATE (tensor%refcount)
    1282             :             ELSE
    1283      808470 :                CALL dbt_pgrid_destroy(tensor%pgrid, keep_comm=.TRUE.)
    1284             :             END IF
    1285             : 
    1286     1024079 :             tensor%valid = .FALSE.
    1287     1024079 :             tensor%name = ""
    1288     1024079 :             CALL timestop(handle)
    1289     1024079 :          END SUBROUTINE
    1290             : 
    1291             : ! **************************************************************************************************
    1292             : !> \brief tensor block dimensions
    1293             : !> \author Patrick Seewald
    1294             : ! **************************************************************************************************
    1295      849762 :          SUBROUTINE blk_dims_tensor(tensor, dims)
    1296             :             TYPE(dbt_type), INTENT(IN)              :: tensor
    1297             :             INTEGER, DIMENSION(ndims_tensor(tensor)), &
    1298             :                INTENT(OUT)                              :: dims
    1299             : 
    1300      849762 :             CPASSERT(tensor%valid)
    1301     3179570 :             dims = tensor%nd_index_blk%dims_nd
    1302      849762 :          END SUBROUTINE
    1303             : 
    1304             : ! **************************************************************************************************
    1305             : !> \brief Size of tensor block
    1306             : !> \author Patrick Seewald
    1307             : ! **************************************************************************************************
    1308    27270313 :          SUBROUTINE dbt_blk_sizes(tensor, ind, blk_size)
    1309             :             TYPE(dbt_type), INTENT(IN)              :: tensor
    1310             :             INTEGER, DIMENSION(ndims_tensor(tensor)), &
    1311             :                INTENT(IN)                               :: ind
    1312             :             INTEGER, DIMENSION(ndims_tensor(tensor)), &
    1313             :                INTENT(OUT)                              :: blk_size
    1314             : 
    1315    27270313 :             blk_size(:) = get_array_elements(tensor%blk_sizes, ind)
    1316    27270313 :          END SUBROUTINE
    1317             : 
    1318             : ! **************************************************************************************************
    1319             : !> \brief offset of tensor block
    1320             : !> \param ind block index
    1321             : !> \param blk_offset block offset
    1322             : !> \author Patrick Seewald
    1323             : ! **************************************************************************************************
    1324           0 :          SUBROUTINE dbt_blk_offsets(tensor, ind, blk_offset)
    1325             :             TYPE(dbt_type), INTENT(IN)              :: tensor
    1326             :             INTEGER, DIMENSION(ndims_tensor(tensor)), &
    1327             :                INTENT(IN)                               :: ind
    1328             :             INTEGER, DIMENSION(ndims_tensor(tensor)), &
    1329             :                INTENT(OUT)                              :: blk_offset
    1330             : 
    1331           0 :             CPASSERT(tensor%valid)
    1332           0 :             blk_offset(:) = get_array_elements(tensor%blk_offsets, ind)
    1333           0 :          END SUBROUTINE
    1334             : 
    1335             : ! **************************************************************************************************
    1336             : !> \brief Generalization of block_get_stored_coordinates for tensors.
    1337             : !> \author Patrick Seewald
    1338             : ! **************************************************************************************************
    1339    13037140 :          SUBROUTINE dbt_get_stored_coordinates(tensor, ind_nd, processor)
    1340             :             TYPE(dbt_type), INTENT(IN)               :: tensor
    1341             :             INTEGER, DIMENSION(ndims_tensor(tensor)), &
    1342             :                INTENT(IN)                                :: ind_nd
    1343             :             INTEGER, INTENT(OUT)                         :: processor
    1344             : 
    1345             :             INTEGER(KIND=int_8), DIMENSION(2)                        :: ind_2d
    1346             : 
    1347     6518570 :             ind_2d(:) = get_2d_indices_tensor(tensor%nd_index_blk, ind_nd)
    1348     6518570 :             CALL dbt_tas_get_stored_coordinates(tensor%matrix_rep, ind_2d(1), ind_2d(2), processor)
    1349     6518570 :          END SUBROUTINE
    1350             : 
    1351             : ! **************************************************************************************************
    1352             : !> \author Patrick Seewald
    1353             : ! **************************************************************************************************
    1354       17930 :          SUBROUTINE dbt_pgrid_create(mp_comm, dims, pgrid, tensor_dims)
    1355             :             CLASS(mp_comm_type), INTENT(IN) :: mp_comm
    1356             :             INTEGER, DIMENSION(:), INTENT(INOUT) :: dims
    1357             :             TYPE(dbt_pgrid_type), INTENT(OUT) :: pgrid
    1358             :             INTEGER, DIMENSION(:), INTENT(IN), OPTIONAL :: tensor_dims
    1359        3586 :             INTEGER, DIMENSION(:), ALLOCATABLE :: map1_2d, map2_2d
    1360             :             INTEGER :: i, ndims
    1361             : 
    1362        3586 :             ndims = SIZE(dims)
    1363             : 
    1364       10758 :             ALLOCATE (map1_2d(ndims/2))
    1365       10758 :             ALLOCATE (map2_2d(ndims - ndims/2))
    1366       14352 :             map1_2d(:) = (/(i, i=1, SIZE(map1_2d))/)
    1367       19580 :             map2_2d(:) = (/(i, i=SIZE(map1_2d) + 1, SIZE(map1_2d) + SIZE(map2_2d))/)
    1368             : 
    1369        5872 :             CALL dbt_pgrid_create_expert(mp_comm, dims, pgrid, map1_2d, map2_2d, tensor_dims)
    1370             : 
    1371        3586 :          END SUBROUTINE
    1372             : 
    1373             : ! **************************************************************************************************
    1374             : !> \brief freeze current split factor such that it is never changed during contraction
    1375             : !> \author Patrick Seewald
    1376             : ! **************************************************************************************************
    1377           0 :          SUBROUTINE dbt_pgrid_set_strict_split(pgrid)
    1378             :             TYPE(dbt_pgrid_type), INTENT(INOUT) :: pgrid
    1379           0 :             IF (ALLOCATED(pgrid%tas_split_info)) CALL dbt_tas_set_strict_split(pgrid%tas_split_info)
    1380           0 :          END SUBROUTINE
    1381             : 
    1382             : ! **************************************************************************************************
    1383             : !> \brief change dimensions of an existing process grid.
    1384             : !> \param pgrid process grid to be changed
    1385             : !> \param pdims new process grid dimensions, should all be set > 0
    1386             : !> \author Patrick Seewald
    1387             : ! **************************************************************************************************
    1388           0 :          SUBROUTINE dbt_pgrid_change_dims(pgrid, pdims)
    1389             :             TYPE(dbt_pgrid_type), INTENT(INOUT) :: pgrid
    1390             :             INTEGER, DIMENSION(:), INTENT(INOUT)    :: pdims
    1391           0 :             TYPE(dbt_pgrid_type)                :: pgrid_tmp
    1392             :             INTEGER                                 :: nsplit, dimsplit
    1393           0 :             INTEGER, DIMENSION(ndims_mapping_row(pgrid%nd_index_grid)) :: map1_2d
    1394           0 :             INTEGER, DIMENSION(ndims_mapping_column(pgrid%nd_index_grid)) :: map2_2d
    1395           0 :             TYPe(nd_to_2d_mapping)                  :: nd_index_grid
    1396             :             INTEGER, DIMENSION(2)                   :: pdims_2d
    1397             : 
    1398           0 :             CPASSERT(ALL(pdims > 0))
    1399           0 :             CALL dbt_tas_get_split_info(pgrid%tas_split_info, nsplit=nsplit, split_rowcol=dimsplit)
    1400           0 :             CALL dbt_get_mapping_info(pgrid%nd_index_grid, map1_2d=map1_2d, map2_2d=map2_2d)
    1401           0 :             CALL create_nd_to_2d_mapping(nd_index_grid, pdims, map1_2d, map2_2d, base=0, col_major=.FALSE.)
    1402           0 :             CALL dbt_get_mapping_info(nd_index_grid, dims_2d=pdims_2d)
    1403           0 :             IF (MOD(pdims_2d(dimsplit), nsplit) == 0) THEN
    1404             :                CALL dbt_pgrid_create_expert(pgrid%mp_comm_2d, pdims, pgrid_tmp, map1_2d=map1_2d, map2_2d=map2_2d, &
    1405           0 :                                             nsplit=nsplit, dimsplit=dimsplit)
    1406             :             ELSE
    1407           0 :                CALL dbt_pgrid_create_expert(pgrid%mp_comm_2d, pdims, pgrid_tmp, map1_2d=map1_2d, map2_2d=map2_2d)
    1408             :             END IF
    1409           0 :             CALL dbt_pgrid_destroy(pgrid)
    1410           0 :             pgrid = pgrid_tmp
    1411           0 :          END SUBROUTINE
    1412             : 
    1413             : ! **************************************************************************************************
    1414             : !> \brief As block_filter
    1415             : !> \author Patrick Seewald
    1416             : ! **************************************************************************************************
    1417      165395 :          SUBROUTINE dbt_filter(tensor, eps)
    1418             :             TYPE(dbt_type), INTENT(INOUT)    :: tensor
    1419             :             REAL(dp), INTENT(IN)                :: eps
    1420             : 
    1421      165395 :             CALL dbt_tas_filter(tensor%matrix_rep, eps)
    1422             : 
    1423      165395 :          END SUBROUTINE
    1424             : 
    1425             : ! **************************************************************************************************
    1426             : !> \brief local number of blocks along dimension idim
    1427             : !> \author Patrick Seewald
    1428             : ! **************************************************************************************************
    1429      364678 :          PURE FUNCTION dbt_nblks_local(tensor, idim)
    1430             :             TYPE(dbt_type), INTENT(IN) :: tensor
    1431             :             INTEGER, INTENT(IN) :: idim
    1432             :             INTEGER :: dbt_nblks_local
    1433             : 
    1434      364678 :             IF (idim > ndims_tensor(tensor)) THEN
    1435             :                dbt_nblks_local = 0
    1436             :             ELSE
    1437      364678 :                dbt_nblks_local = tensor%nblks_local(idim)
    1438             :             END IF
    1439             : 
    1440      364678 :          END FUNCTION
    1441             : 
    1442             : ! **************************************************************************************************
    1443             : !> \brief total numbers of blocks along dimension idim
    1444             : !> \author Patrick Seewald
    1445             : ! **************************************************************************************************
    1446     2419716 :          PURE FUNCTION dbt_nblks_total(tensor, idim)
    1447             :             TYPE(dbt_type), INTENT(IN) :: tensor
    1448             :             INTEGER, INTENT(IN) :: idim
    1449             :             INTEGER :: dbt_nblks_total
    1450             : 
    1451     2419716 :             IF (idim > ndims_tensor(tensor)) THEN
    1452             :                dbt_nblks_total = 0
    1453             :             ELSE
    1454     1883718 :                dbt_nblks_total = tensor%nd_index_blk%dims_nd(idim)
    1455             :             END IF
    1456     2419716 :          END FUNCTION
    1457             : 
    1458             : ! **************************************************************************************************
    1459             : !> \brief As block_get_info but for tensors
    1460             : !> \param nblks_total number of blocks along each dimension
    1461             : !> \param nfull_total number of elements along each dimension
    1462             : !> \param nblks_local local number of blocks along each dimension
    1463             : !> \param nfull_local local number of elements along each dimension
    1464             : !> \param my_ploc process coordinates in process grid
    1465             : !> \param pdims process grid dimensions
    1466             : !> \param blks_local_${idim}$ local blocks along dimension ${idim}$
    1467             : !> \param proc_dist_${idim}$ distribution along dimension ${idim}$
    1468             : !> \param blk_size_${idim}$ block sizes along dimension ${idim}$
    1469             : !> \param blk_offset_${idim}$ block offsets along dimension ${idim}$
    1470             : !> \param distribution distribution object
    1471             : !> \param name name of tensor
    1472             : !> \author Patrick Seewald
    1473             : ! **************************************************************************************************
    1474           0 :          SUBROUTINE dbt_get_info(tensor, nblks_total, &
    1475             :                                  nfull_total, &
    1476      135836 :                                  nblks_local, &
    1477      135836 :                                  nfull_local, &
    1478             :                                  pdims, &
    1479             :                                  my_ploc, &
    1480             :                                  ${varlist("blks_local")}$, &
    1481             :                                  ${varlist("proc_dist")}$, &
    1482             :                                  ${varlist("blk_size")}$, &
    1483             :                                  ${varlist("blk_offset")}$, &
    1484             :                                  distribution, &
    1485             :                                  name)
    1486             :             TYPE(dbt_type), INTENT(IN) :: tensor
    1487             :             INTEGER, INTENT(OUT), OPTIONAL, DIMENSION(ndims_tensor(tensor)) :: nblks_total
    1488             :             INTEGER, INTENT(OUT), OPTIONAL, DIMENSION(ndims_tensor(tensor)) :: nfull_total
    1489             :             INTEGER, INTENT(OUT), OPTIONAL, DIMENSION(ndims_tensor(tensor)) :: nblks_local
    1490             :             INTEGER, INTENT(OUT), OPTIONAL, DIMENSION(ndims_tensor(tensor)) :: nfull_local
    1491             :             INTEGER, INTENT(OUT), OPTIONAL, DIMENSION(ndims_tensor(tensor)) :: my_ploc
    1492             :             INTEGER, INTENT(OUT), OPTIONAL, DIMENSION(ndims_tensor(tensor)) :: pdims
    1493             :             #:for idim in range(1, maxdim+1)
    1494             :                INTEGER, DIMENSION(dbt_nblks_local(tensor, ${idim}$)), INTENT(OUT), OPTIONAL :: blks_local_${idim}$
    1495             :                INTEGER, DIMENSION(dbt_nblks_total(tensor, ${idim}$)), INTENT(OUT), OPTIONAL :: proc_dist_${idim}$
    1496             :                INTEGER, DIMENSION(dbt_nblks_total(tensor, ${idim}$)), INTENT(OUT), OPTIONAL :: blk_size_${idim}$
    1497             :                INTEGER, DIMENSION(dbt_nblks_total(tensor, ${idim}$)), INTENT(OUT), OPTIONAL :: blk_offset_${idim}$
    1498             :             #:endfor
    1499             :             TYPE(dbt_distribution_type), INTENT(OUT), OPTIONAL    :: distribution
    1500             :             CHARACTER(len=*), INTENT(OUT), OPTIONAL                   :: name
    1501      776126 :             INTEGER, DIMENSION(ndims_tensor(tensor))                  :: pdims_tmp, my_ploc_tmp
    1502             : 
    1503      776126 :             IF (PRESENT(nblks_total)) CALL dbt_get_mapping_info(tensor%nd_index_blk, dims_nd=nblks_total)
    1504      776126 :             IF (PRESENT(nfull_total)) CALL dbt_get_mapping_info(tensor%nd_index, dims_nd=nfull_total)
    1505     1140804 :             IF (PRESENT(nblks_local)) nblks_local(:) = tensor%nblks_local
    1506     1140804 :             IF (PRESENT(nfull_local)) nfull_local(:) = tensor%nfull_local
    1507             : 
    1508      776126 :             IF (PRESENT(my_ploc) .OR. PRESENT(pdims)) CALL mp_environ_pgrid(tensor%pgrid, pdims_tmp, my_ploc_tmp)
    1509      500704 :             IF (PRESENT(my_ploc)) my_ploc = my_ploc_tmp
    1510     1141374 :             IF (PRESENT(pdims)) pdims = pdims_tmp
    1511             : 
    1512             :             #:for idim in range(1, maxdim+1)
    1513     2837671 :                IF (${idim}$ <= ndims_tensor(tensor)) THEN
    1514     2061597 :                   IF (PRESENT(blks_local_${idim}$)) CALL get_ith_array(tensor%blks_local, ${idim}$, &
    1515             :                                                                        dbt_nblks_local(tensor, ${idim}$), &
    1516      364678 :                                                                        blks_local_${idim}$)
    1517     2061597 :                   IF (PRESENT(proc_dist_${idim}$)) CALL get_ith_array(tensor%nd_dist, ${idim}$, &
    1518             :                                                                       dbt_nblks_total(tensor, ${idim}$), &
    1519      366452 :                                                                       proc_dist_${idim}$)
    1520     2061597 :                   IF (PRESENT(blk_size_${idim}$)) CALL get_ith_array(tensor%blk_sizes, ${idim}$, &
    1521             :                                                                      dbt_nblks_total(tensor, ${idim}$), &
    1522      418362 :                                                                      blk_size_${idim}$)
    1523     2061597 :                   IF (PRESENT(blk_offset_${idim}$)) CALL get_ith_array(tensor%blk_offsets, ${idim}$, &
    1524             :                                                                        dbt_nblks_total(tensor, ${idim}$), &
    1525          60 :                                                                        blk_offset_${idim}$)
    1526             :                END IF
    1527             :             #:endfor
    1528             : 
    1529      776126 :             IF (PRESENT(distribution)) distribution = dbt_distribution(tensor)
    1530      776126 :             IF (PRESENT(name)) name = tensor%name
    1531             : 
    1532      911962 :          END SUBROUTINE
    1533             : 
    1534             : ! **************************************************************************************************
    1535             : !> \brief As block_get_num_blocks: get number of local blocks
    1536             : !> \author Patrick Seewald
    1537             : ! **************************************************************************************************
    1538      540162 :          PURE FUNCTION dbt_get_num_blocks(tensor) RESULT(num_blocks)
    1539             :             TYPE(dbt_type), INTENT(IN)    :: tensor
    1540             :             INTEGER                           :: num_blocks
    1541      540162 :             num_blocks = dbt_tas_get_num_blocks(tensor%matrix_rep)
    1542      540162 :          END FUNCTION
    1543             : 
    1544             : ! **************************************************************************************************
    1545             : !> \brief Get total number of blocks
    1546             : !> \author Patrick Seewald
    1547             : ! **************************************************************************************************
    1548      137902 :          FUNCTION dbt_get_num_blocks_total(tensor) RESULT(num_blocks)
    1549             :             TYPE(dbt_type), INTENT(IN)    :: tensor
    1550             :             INTEGER(KIND=int_8)               :: num_blocks
    1551      137902 :             num_blocks = dbt_tas_get_num_blocks_total(tensor%matrix_rep)
    1552      137902 :          END FUNCTION
    1553             : 
    1554             : ! **************************************************************************************************
    1555             : !> \brief Clear tensor (s.t. it does not contain any blocks)
    1556             : !> \author Patrick Seewald
    1557             : ! **************************************************************************************************
    1558      962409 :          SUBROUTINE dbt_clear(tensor)
    1559             :             TYPE(dbt_type), INTENT(INOUT) :: tensor
    1560             : 
    1561      962409 :             CALL dbt_tas_clear(tensor%matrix_rep)
    1562      962409 :          END SUBROUTINE
    1563             : 
    1564             : ! **************************************************************************************************
    1565             : !> \brief Finalize tensor, as block_finalize. This should be taken care of internally in DBT
    1566             : !>        tensors, there should not be any need to call this routine outside of DBT tensors.
    1567             : !> \author Patrick Seewald
    1568             : ! **************************************************************************************************
    1569      924222 :          SUBROUTINE dbt_finalize(tensor)
    1570             :             TYPE(dbt_type), INTENT(INOUT) :: tensor
    1571      924222 :             CALL dbt_tas_finalize(tensor%matrix_rep)
    1572      924222 :          END SUBROUTINE
    1573             : 
    1574             : ! **************************************************************************************************
    1575             : !> \brief as block_scale
    1576             : !> \author Patrick Seewald
    1577             : ! **************************************************************************************************
    1578       59144 :          SUBROUTINE dbt_scale(tensor, alpha)
    1579             :             TYPE(dbt_type), INTENT(INOUT) :: tensor
    1580             :             REAL(dp), INTENT(IN) :: alpha
    1581       59144 :             CALL dbm_scale(tensor%matrix_rep%matrix, alpha)
    1582       59144 :          END SUBROUTINE
    1583             : 
    1584             : ! **************************************************************************************************
    1585             : !> \author Patrick Seewald
    1586             : ! **************************************************************************************************
    1587      135836 :          PURE FUNCTION dbt_get_nze(tensor)
    1588             :             TYPE(dbt_type), INTENT(IN) :: tensor
    1589             :             INTEGER                        :: dbt_get_nze
    1590      135836 :             dbt_get_nze = dbt_tas_get_nze(tensor%matrix_rep)
    1591      135836 :          END FUNCTION
    1592             : 
    1593             : ! **************************************************************************************************
    1594             : !> \author Patrick Seewald
    1595             : ! **************************************************************************************************
    1596      249337 :          FUNCTION dbt_get_nze_total(tensor)
    1597             :             TYPE(dbt_type), INTENT(IN) :: tensor
    1598             :             INTEGER(KIND=int_8)            :: dbt_get_nze_total
    1599      249337 :             dbt_get_nze_total = dbt_tas_get_nze_total(tensor%matrix_rep)
    1600      249337 :          END FUNCTION
    1601             : 
    1602             : ! **************************************************************************************************
    1603             : !> \brief block size of block with index ind along dimension idim
    1604             : !> \author Patrick Seewald
    1605             : ! **************************************************************************************************
    1606           0 :          PURE FUNCTION dbt_blk_size(tensor, ind, idim)
    1607             :             TYPE(dbt_type), INTENT(IN) :: tensor
    1608             :             INTEGER, DIMENSION(ndims_tensor(tensor)), &
    1609             :                INTENT(IN) :: ind
    1610             :             INTEGER, INTENT(IN) :: idim
    1611           0 :             INTEGER, DIMENSION(ndims_tensor(tensor)) :: blk_size
    1612             :             INTEGER :: dbt_blk_size
    1613             : 
    1614           0 :             IF (idim > ndims_tensor(tensor)) THEN
    1615             :                dbt_blk_size = 0
    1616             :             ELSE
    1617           0 :                blk_size(:) = get_array_elements(tensor%blk_sizes, ind)
    1618           0 :                dbt_blk_size = blk_size(idim)
    1619             :             END IF
    1620           0 :          END FUNCTION
    1621             : 
    1622             : ! **************************************************************************************************
    1623             : !> \brief returns an estimate of maximum number of local blocks in tensor
    1624             : !>        (irrespective of the actual number of currently present blocks)
    1625             : !>        this estimate is based on the following assumption: tensor data is dense and
    1626             : !>        load balancing is within a factor of 2
    1627             : !> \author Patrick Seewald
    1628             : ! **************************************************************************************************
    1629           0 :          PURE FUNCTION dbt_max_nblks_local(tensor) RESULT(blk_count)
    1630             :             TYPE(dbt_type), INTENT(IN) :: tensor
    1631             :             INTEGER :: blk_count, nproc
    1632           0 :             INTEGER, DIMENSION(ndims_tensor(tensor)) :: bdims
    1633             :             INTEGER(int_8) :: blk_count_total
    1634             :             INTEGER, PARAMETER :: max_load_imbalance = 2
    1635             : 
    1636           0 :             CALL dbt_get_mapping_info(tensor%nd_index_blk, dims_nd=bdims)
    1637             : 
    1638           0 :             blk_count_total = PRODUCT(INT(bdims, int_8))
    1639             : 
    1640             :             ! can not call an MPI routine due to PURE
    1641           0 :             nproc = tensor%pgrid%nproc
    1642             : 
    1643           0 :             blk_count = INT(blk_count_total/nproc*max_load_imbalance)
    1644             : 
    1645           0 :          END FUNCTION
    1646             : 
    1647             : ! **************************************************************************************************
    1648             : !> \brief get a load-balanced and randomized distribution along one tensor dimension
    1649             : !> \param nblk number of blocks (along one tensor dimension)
    1650             : !> \param nproc number of processes (along one process grid dimension)
    1651             : !> \param blk_size block sizes
    1652             : !> \param dist distribution
    1653             : !> \author Patrick Seewald
    1654             : ! **************************************************************************************************
    1655      102181 :          SUBROUTINE dbt_default_distvec(nblk, nproc, blk_size, dist)
    1656             :             INTEGER, INTENT(IN)                                :: nblk
    1657             :             INTEGER, INTENT(IN)                                :: nproc
    1658             :             INTEGER, DIMENSION(nblk), INTENT(IN)                :: blk_size
    1659             :             INTEGER, DIMENSION(nblk), INTENT(OUT)               :: dist
    1660             : 
    1661      102181 :             CALL dbt_tas_default_distvec(nblk, nproc, blk_size, dist)
    1662      102181 :          END SUBROUTINE
    1663             : 
    1664             : ! **************************************************************************************************
    1665             : !> \author Patrick Seewald
    1666             : ! **************************************************************************************************
    1667      570588 :          SUBROUTINE dbt_copy_contraction_storage(tensor_in, tensor_out)
    1668             :             TYPE(dbt_type), INTENT(IN) :: tensor_in
    1669             :             TYPE(dbt_type), INTENT(INOUT) :: tensor_out
    1670      570588 :             TYPE(dbt_contraction_storage), ALLOCATABLE :: tensor_storage_tmp
    1671      570588 :             TYPE(dbt_tas_mm_storage), ALLOCATABLE :: tas_storage_tmp
    1672             : 
    1673      570588 :             IF (tensor_in%matrix_rep%do_batched > 0) THEN
    1674      125231 :                ALLOCATE (tas_storage_tmp, SOURCE=tensor_in%matrix_rep%mm_storage)
    1675             :                ! transfer data for batched contraction
    1676      125231 :                IF (ALLOCATED(tensor_out%matrix_rep%mm_storage)) DEALLOCATE (tensor_out%matrix_rep%mm_storage)
    1677      125231 :                CALL move_alloc(tas_storage_tmp, tensor_out%matrix_rep%mm_storage)
    1678             :             END IF
    1679             :             CALL dbt_tas_set_batched_state(tensor_out%matrix_rep, state=tensor_in%matrix_rep%do_batched, &
    1680      570588 :                                            opt_grid=tensor_in%matrix_rep%has_opt_pgrid)
    1681      570588 :             IF (ALLOCATED(tensor_in%contraction_storage)) THEN
    1682      369859 :                ALLOCATE (tensor_storage_tmp, SOURCE=tensor_in%contraction_storage)
    1683             :             END IF
    1684      570588 :             IF (ALLOCATED(tensor_out%contraction_storage)) DEALLOCATE (tensor_out%contraction_storage)
    1685      570588 :             IF (ALLOCATED(tensor_storage_tmp)) CALL move_alloc(tensor_storage_tmp, tensor_out%contraction_storage)
    1686             : 
    1687      570588 :          END SUBROUTINE
    1688             : 
    1689    20331675 :       END MODULE

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