LCOV - code coverage report
Current view: top level - src/dbm - dbm_matrix.c (source / functions) Hit Total Coverage
Test: CP2K Regtests (git:262480d) Lines: 282 284 99.3 %
Date: 2024-11-22 07:00:40 Functions: 28 28 100.0 %

          Line data    Source code
       1             : /*----------------------------------------------------------------------------*/
       2             : /*  CP2K: A general program to perform molecular dynamics simulations         */
       3             : /*  Copyright 2000-2024 CP2K developers group <https://cp2k.org>              */
       4             : /*                                                                            */
       5             : /*  SPDX-License-Identifier: BSD-3-Clause                                     */
       6             : /*----------------------------------------------------------------------------*/
       7             : 
       8             : #include <assert.h>
       9             : #include <math.h>
      10             : #include <omp.h>
      11             : #include <stdbool.h>
      12             : #include <stddef.h>
      13             : #include <stdlib.h>
      14             : #include <string.h>
      15             : 
      16             : #include "dbm_hyperparams.h"
      17             : #include "dbm_matrix.h"
      18             : 
      19             : /*******************************************************************************
      20             :  * \brief Creates a new matrix.
      21             :  * \author Ole Schuett
      22             :  ******************************************************************************/
      23     1653121 : void dbm_create(dbm_matrix_t **matrix_out, dbm_distribution_t *dist,
      24             :                 const char name[], const int nrows, const int ncols,
      25             :                 const int row_sizes[nrows], const int col_sizes[ncols]) {
      26     1653121 :   assert(omp_get_num_threads() == 1);
      27             : 
      28     1653121 :   dbm_matrix_t *matrix = calloc(1, sizeof(dbm_matrix_t));
      29             : 
      30     1653121 :   assert(dist->rows.length == nrows);
      31     1653121 :   assert(dist->cols.length == ncols);
      32     1653121 :   dbm_distribution_hold(dist);
      33     1653121 :   matrix->dist = dist;
      34             : 
      35     1653121 :   size_t size = (strlen(name) + 1) * sizeof(char);
      36     1653121 :   matrix->name = malloc(size);
      37     1653121 :   assert(matrix->name != NULL);
      38     1653121 :   memcpy(matrix->name, name, size);
      39             : 
      40     1653121 :   matrix->nrows = nrows;
      41     1653121 :   matrix->ncols = ncols;
      42             : 
      43     1653121 :   size = nrows * sizeof(int);
      44     1653121 :   matrix->row_sizes = malloc(size);
      45     1653121 :   assert(matrix->row_sizes != NULL);
      46     1653121 :   memcpy(matrix->row_sizes, row_sizes, size);
      47             : 
      48     1653121 :   size = ncols * sizeof(int);
      49     1653121 :   matrix->col_sizes = malloc(size);
      50     1653121 :   assert(matrix->col_sizes != NULL);
      51     1653121 :   memcpy(matrix->col_sizes, col_sizes, size);
      52             : 
      53     1653121 :   matrix->shards = malloc(dbm_get_num_shards(matrix) * sizeof(dbm_shard_t));
      54     1653121 :   assert(matrix->shards != NULL);
      55     1653121 : #pragma omp parallel for
      56             :   for (int ishard = 0; ishard < dbm_get_num_shards(matrix); ishard++) {
      57             :     dbm_shard_init(&matrix->shards[ishard]);
      58             :   }
      59             : 
      60     1653121 :   assert(*matrix_out == NULL);
      61     1653121 :   *matrix_out = matrix;
      62     1653121 : }
      63             : 
      64             : /*******************************************************************************
      65             :  * \brief Releases a matrix and all its ressources.
      66             :  * \author Ole Schuett
      67             :  ******************************************************************************/
      68     1653121 : void dbm_release(dbm_matrix_t *matrix) {
      69     1653121 :   assert(omp_get_num_threads() == 1);
      70     3306242 :   for (int ishard = 0; ishard < dbm_get_num_shards(matrix); ishard++) {
      71     1653121 :     dbm_shard_release(&matrix->shards[ishard]);
      72             :   }
      73     1653121 :   dbm_distribution_release(matrix->dist);
      74     1653121 :   free(matrix->row_sizes);
      75     1653121 :   free(matrix->col_sizes);
      76     1653121 :   free(matrix->shards);
      77     1653121 :   free(matrix->name);
      78     1653121 :   free(matrix);
      79     1653121 : }
      80             : 
      81             : /*******************************************************************************
      82             :  * \brief Copies content of matrix_b into matrix_a.
      83             :  *        Matrices must have the same row/col block sizes and distribution.
      84             :  * \author Ole Schuett
      85             :  ******************************************************************************/
      86      410736 : void dbm_copy(dbm_matrix_t *matrix_a, const dbm_matrix_t *matrix_b) {
      87      410736 :   assert(omp_get_num_threads() == 1);
      88             : 
      89      410736 :   assert(matrix_b->nrows == matrix_a->nrows);
      90     4757977 :   for (int i = 0; i < matrix_b->nrows; i++) {
      91     4347241 :     assert(matrix_b->row_sizes[i] == matrix_a->row_sizes[i]);
      92             :   }
      93      410736 :   assert(matrix_b->ncols == matrix_a->ncols);
      94    33566210 :   for (int i = 0; i < matrix_b->ncols; i++) {
      95    33155474 :     assert(matrix_b->col_sizes[i] == matrix_a->col_sizes[i]);
      96             :   }
      97             : 
      98      410736 :   assert(matrix_a->dist == matrix_b->dist);
      99             : 
     100      410736 : #pragma omp parallel for schedule(dynamic)
     101             :   for (int ishard = 0; ishard < dbm_get_num_shards(matrix_a); ishard++) {
     102             :     dbm_shard_copy(&matrix_a->shards[ishard], &matrix_b->shards[ishard]);
     103             :   }
     104      410736 : }
     105             : 
     106             : /*******************************************************************************
     107             :  * \brief Copies content of matrix_b into matrix_a.
     108             :  *        Matrices may have different distributions.
     109             :  * \author Ole Schuett
     110             :  ******************************************************************************/
     111         144 : void dbm_redistribute(const dbm_matrix_t *matrix, dbm_matrix_t *redist) {
     112         144 :   assert(omp_get_num_threads() == 1);
     113         144 :   assert(matrix->nrows == redist->nrows);
     114        6384 :   for (int i = 0; i < matrix->nrows; i++) {
     115        6240 :     assert(matrix->row_sizes[i] == redist->row_sizes[i]);
     116             :   }
     117         144 :   assert(matrix->ncols == redist->ncols);
     118        6384 :   for (int i = 0; i < matrix->ncols; i++) {
     119        6240 :     assert(matrix->col_sizes[i] == redist->col_sizes[i]);
     120             :   }
     121             : 
     122         144 :   assert(dbm_mpi_comms_are_similar(matrix->dist->comm, redist->dist->comm));
     123         144 :   const dbm_mpi_comm_t comm = redist->dist->comm;
     124         144 :   const int nranks = dbm_mpi_comm_size(comm);
     125             : 
     126             :   // 1st pass: Compute send_count.
     127         144 :   int send_count[nranks];
     128         144 :   memset(send_count, 0, nranks * sizeof(int));
     129         288 :   for (int ishard = 0; ishard < dbm_get_num_shards(matrix); ishard++) {
     130         144 :     dbm_shard_t *shard = &matrix->shards[ishard];
     131        8936 :     for (int iblock = 0; iblock < shard->nblocks; iblock++) {
     132        8792 :       const dbm_block_t *blk = &shard->blocks[iblock];
     133        8792 :       const int row_size = matrix->row_sizes[blk->row];
     134        8792 :       const int col_size = matrix->col_sizes[blk->col];
     135        8792 :       const int block_size = row_size * col_size;
     136        8792 :       const int rank = dbm_get_stored_coordinates(redist, blk->row, blk->col);
     137        8792 :       assert(0 <= rank && rank < nranks);
     138        8792 :       send_count[rank] += 2 + block_size;
     139             :     }
     140             :   }
     141             : 
     142             :   // 1st communication: Exchange counts.
     143         144 :   int recv_count[nranks];
     144         144 :   dbm_mpi_alltoall_int(send_count, 1, recv_count, 1, comm);
     145             : 
     146             :   // Compute displacements and allocate data buffers.
     147         144 :   int send_displ[nranks + 1], recv_displ[nranks + 1];
     148         144 :   send_displ[0] = recv_displ[0] = 0;
     149         432 :   for (int irank = 1; irank <= nranks; irank++) {
     150         288 :     send_displ[irank] = send_displ[irank - 1] + send_count[irank - 1];
     151         288 :     recv_displ[irank] = recv_displ[irank - 1] + recv_count[irank - 1];
     152             :   }
     153         144 :   const int total_send_count = send_displ[nranks];
     154         144 :   const int total_recv_count = recv_displ[nranks];
     155         144 :   double *data_send = dbm_mpi_alloc_mem(total_send_count * sizeof(double));
     156         144 :   double *data_recv = dbm_mpi_alloc_mem(total_recv_count * sizeof(double));
     157             : 
     158             :   // 2nd pass: Fill send_data.
     159         144 :   int send_data_positions[nranks];
     160         144 :   memcpy(send_data_positions, send_displ, nranks * sizeof(int));
     161         288 :   for (int ishard = 0; ishard < dbm_get_num_shards(matrix); ishard++) {
     162         144 :     dbm_shard_t *shard = &matrix->shards[ishard];
     163        8936 :     for (int iblock = 0; iblock < shard->nblocks; iblock++) {
     164        8792 :       const dbm_block_t *blk = &shard->blocks[iblock];
     165        8792 :       const double *blk_data = &shard->data[blk->offset];
     166        8792 :       const int row_size = matrix->row_sizes[blk->row];
     167        8792 :       const int col_size = matrix->col_sizes[blk->col];
     168        8792 :       const int block_size = row_size * col_size;
     169        8792 :       const int rank = dbm_get_stored_coordinates(redist, blk->row, blk->col);
     170        8792 :       const int pos = send_data_positions[rank];
     171        8792 :       data_send[pos + 0] = blk->row; // send integers as doubles
     172        8792 :       data_send[pos + 1] = blk->col;
     173        8792 :       memcpy(&data_send[pos + 2], blk_data, block_size * sizeof(double));
     174        8792 :       send_data_positions[rank] += 2 + block_size;
     175             :     }
     176             :   }
     177         432 :   for (int irank = 0; irank < nranks; irank++) {
     178         288 :     assert(send_data_positions[irank] == send_displ[irank + 1]);
     179             :   }
     180             : 
     181             :   // 2nd communication: Exchange data.
     182         144 :   dbm_mpi_alltoallv_double(data_send, send_count, send_displ, data_recv,
     183             :                            recv_count, recv_displ, comm);
     184         144 :   dbm_mpi_free_mem(data_send);
     185             : 
     186             :   // 3rd pass: Unpack data.
     187         144 :   dbm_clear(redist);
     188         144 :   int recv_data_pos = 0;
     189        8936 :   while (recv_data_pos < total_recv_count) {
     190        8792 :     const int row = (int)data_recv[recv_data_pos + 0];
     191        8792 :     const int col = (int)data_recv[recv_data_pos + 1];
     192        8792 :     assert(data_recv[recv_data_pos + 0] - (double)row == 0.0);
     193        8792 :     assert(data_recv[recv_data_pos + 1] - (double)col == 0.0);
     194        8792 :     dbm_put_block(redist, row, col, false, &data_recv[recv_data_pos + 2]);
     195        8792 :     const int row_size = matrix->row_sizes[row];
     196        8792 :     const int col_size = matrix->col_sizes[col];
     197        8792 :     const int block_size = row_size * col_size;
     198        8792 :     recv_data_pos += 2 + block_size;
     199             :   }
     200         144 :   assert(recv_data_pos == total_recv_count);
     201         144 :   dbm_mpi_free_mem(data_recv);
     202         144 : }
     203             : 
     204             : /*******************************************************************************
     205             :  * \brief Looks up a block from given matrics. This routine is thread-safe.
     206             :  *        If the block is not found then a null pointer is returned.
     207             :  * \author Ole Schuett
     208             :  ******************************************************************************/
     209    22489946 : void dbm_get_block_p(dbm_matrix_t *matrix, const int row, const int col,
     210             :                      double **block, int *row_size, int *col_size) {
     211    22489946 :   assert(0 <= row && row < matrix->nrows);
     212    22489946 :   assert(0 <= col && col < matrix->ncols);
     213    22489946 :   assert(dbm_get_stored_coordinates(matrix, row, col) == matrix->dist->my_rank);
     214    22489946 :   *row_size = matrix->row_sizes[row];
     215    22489946 :   *col_size = matrix->col_sizes[col];
     216    22489946 :   *block = NULL;
     217             : 
     218    22489946 :   const int ishard = dbm_get_shard_index(matrix, row, col);
     219    22489946 :   const dbm_shard_t *shard = &matrix->shards[ishard];
     220    22489946 :   dbm_block_t *blk = dbm_shard_lookup(shard, row, col);
     221    22489946 :   if (blk != NULL) {
     222    21238751 :     *block = &shard->data[blk->offset];
     223             :   }
     224    22489946 : }
     225             : 
     226             : /*******************************************************************************
     227             :  * \brief Adds a block to given matrix. This routine is thread-safe.
     228             :  *        If block already exist then it gets overwritten (or summed).
     229             :  * \author Ole Schuett
     230             :  ******************************************************************************/
     231    35012631 : void dbm_put_block(dbm_matrix_t *matrix, const int row, const int col,
     232             :                    const bool summation, const double *block) {
     233    35012631 :   assert(0 <= row && row < matrix->nrows);
     234    35012631 :   assert(0 <= col && col < matrix->ncols);
     235    35012631 :   assert(dbm_get_stored_coordinates(matrix, row, col) == matrix->dist->my_rank);
     236    35012631 :   const int row_size = matrix->row_sizes[row];
     237    35012631 :   const int col_size = matrix->col_sizes[col];
     238    35012631 :   const int block_size = row_size * col_size;
     239             : 
     240    35012631 :   const int ishard = dbm_get_shard_index(matrix, row, col);
     241    35012631 :   dbm_shard_t *shard = &matrix->shards[ishard];
     242    35012631 :   omp_set_lock(&shard->lock);
     243    35012631 :   dbm_block_t *blk =
     244    35012631 :       dbm_shard_get_or_allocate_block(shard, row, col, block_size);
     245    35012631 :   double *blk_data = &shard->data[blk->offset];
     246    35012631 :   if (summation) {
     247  1092479168 :     for (int i = 0; i < block_size; i++) {
     248  1089360477 :       blk_data[i] += block[i];
     249             :     }
     250             :   } else {
     251    31893940 :     memcpy(blk_data, block, block_size * sizeof(double));
     252             :   }
     253    35012631 :   omp_unset_lock(&shard->lock);
     254    35012631 : }
     255             : 
     256             : /*******************************************************************************
     257             :  * \brief Remove all blocks from matrix, but does not release underlying memory.
     258             :  * \author Ole Schuett
     259             :  ******************************************************************************/
     260     1947446 : void dbm_clear(dbm_matrix_t *matrix) {
     261     1947446 :   assert(omp_get_num_threads() == 1);
     262             : 
     263     1947446 : #pragma omp parallel for schedule(dynamic)
     264             :   for (int ishard = 0; ishard < dbm_get_num_shards(matrix); ishard++) {
     265             :     dbm_shard_t *shard = &matrix->shards[ishard];
     266             :     shard->nblocks = 0;
     267             :     shard->data_size = 0;
     268             :     shard->data_promised = 0;
     269             :     // Does not deallocate memory, hence data_allocated remains unchanged.
     270             :     memset(shard->hashtable, 0, shard->hashtable_size * sizeof(int));
     271             :   }
     272     1947446 : }
     273             : 
     274             : /*******************************************************************************
     275             :  * \brief Removes all blocks from the matrix whose norm is below the threshold.
     276             :  *        Blocks of size zero are always kept.
     277             :  * \author Ole Schuett
     278             :  ******************************************************************************/
     279      545489 : void dbm_filter(dbm_matrix_t *matrix, const double eps) {
     280      545489 :   assert(omp_get_num_threads() == 1);
     281             : 
     282      545489 :   if (eps == 0.0) {
     283             :     return;
     284             :   }
     285      494209 :   const double eps2 = eps * eps;
     286             : 
     287      494209 : #pragma omp parallel for schedule(dynamic)
     288             :   for (int ishard = 0; ishard < dbm_get_num_shards(matrix); ishard++) {
     289             :     dbm_shard_t *shard = &matrix->shards[ishard];
     290             :     const int old_nblocks = shard->nblocks;
     291             :     shard->nblocks = 0;
     292             :     shard->data_promised = 0;
     293             :     memset(shard->hashtable, 0, shard->hashtable_size * sizeof(int));
     294             : 
     295             :     for (int iblock = 0; iblock < old_nblocks; iblock++) {
     296             :       const dbm_block_t old_blk = shard->blocks[iblock];
     297             :       const double *old_blk_data = &shard->data[old_blk.offset];
     298             :       const int row_size = matrix->row_sizes[old_blk.row];
     299             :       const int col_size = matrix->col_sizes[old_blk.col];
     300             :       const int block_size = row_size * col_size;
     301             :       double norm = 0.0;
     302             :       for (int i = 0; i < block_size; i++) {
     303             :         norm += old_blk_data[i] * old_blk_data[i];
     304             :       }
     305             :       // For historic reasons zero-sized blocks are never filtered.
     306             :       if (block_size > 0 && norm < eps2) {
     307             :         continue; // filter the block
     308             :       }
     309             :       // Re-create block.
     310             :       dbm_block_t *new_blk = dbm_shard_promise_new_block(
     311             :           shard, old_blk.row, old_blk.col, block_size);
     312             :       assert(new_blk->offset <= old_blk.offset);
     313             :       if (new_blk->offset != old_blk.offset) {
     314             :         // Using memmove instead of memcpy because it handles overlap correctly.
     315             :         double *new_blk_data = &shard->data[new_blk->offset];
     316             :         memmove(new_blk_data, old_blk_data, block_size * sizeof(double));
     317             :       }
     318             :     }
     319             :     shard->data_size = shard->data_promised;
     320             :     // TODO: Could call realloc to release excess memory.
     321             :   }
     322             : }
     323             : 
     324             : /*******************************************************************************
     325             :  * \brief Adds list of blocks efficiently. The blocks will be filled with zeros.
     326             :  *        This routine must always be called within an OpenMP parallel region.
     327             :  * \author Ole Schuett
     328             :  ******************************************************************************/
     329     1355499 : void dbm_reserve_blocks(dbm_matrix_t *matrix, const int nblocks,
     330             :                         const int rows[], const int cols[]) {
     331     1355499 :   assert(omp_get_num_threads() == omp_get_max_threads() &&
     332             :          "Please call dbm_reserve_blocks within an OpenMP parallel region.");
     333     1355499 :   const int my_rank = matrix->dist->my_rank;
     334    29089923 :   for (int i = 0; i < nblocks; i++) {
     335    27734424 :     const int ishard = dbm_get_shard_index(matrix, rows[i], cols[i]);
     336    27734424 :     dbm_shard_t *shard = &matrix->shards[ishard];
     337    27734424 :     omp_set_lock(&shard->lock);
     338    27734424 :     assert(0 <= rows[i] && rows[i] < matrix->nrows);
     339    27734424 :     assert(0 <= cols[i] && cols[i] < matrix->ncols);
     340    27734424 :     assert(dbm_get_stored_coordinates(matrix, rows[i], cols[i]) == my_rank);
     341    27734424 :     const int row_size = matrix->row_sizes[rows[i]];
     342    27734424 :     const int col_size = matrix->col_sizes[cols[i]];
     343    27734424 :     const int block_size = row_size * col_size;
     344    27734424 :     dbm_shard_get_or_promise_block(shard, rows[i], cols[i], block_size);
     345    27734424 :     omp_unset_lock(&shard->lock);
     346             :   }
     347     1355499 : #pragma omp barrier
     348             : 
     349             : #pragma omp for schedule(dynamic)
     350     1355499 :   for (int ishard = 0; ishard < dbm_get_num_shards(matrix); ishard++) {
     351     1355499 :     dbm_shard_t *shard = &matrix->shards[ishard];
     352     1355499 :     dbm_shard_allocate_promised_blocks(shard);
     353             :   }
     354     1355499 : }
     355             : 
     356             : /*******************************************************************************
     357             :  * \brief Multiplies all entries in the given matrix by the given factor alpha.
     358             :  * \author Ole Schuett
     359             :  ******************************************************************************/
     360      459608 : void dbm_scale(dbm_matrix_t *matrix, const double alpha) {
     361      459608 :   assert(omp_get_num_threads() == 1);
     362      459608 :   if (alpha == 1.0) {
     363             :     return;
     364             :   }
     365      346716 :   if (alpha == 0.0) {
     366      338228 :     dbm_zero(matrix);
     367      338228 :     return;
     368             :   }
     369             : 
     370        8488 : #pragma omp parallel for schedule(dynamic)
     371             :   for (int ishard = 0; ishard < dbm_get_num_shards(matrix); ishard++) {
     372             :     dbm_shard_t *shard = &matrix->shards[ishard];
     373             :     for (int i = 0; i < shard->data_size; i++) {
     374             :       shard->data[i] *= alpha;
     375             :     }
     376             :   }
     377             : }
     378             : 
     379             : /*******************************************************************************
     380             :  * \brief Sets all blocks in the given matrix to zero.
     381             :  * \author Ole Schuett
     382             :  ******************************************************************************/
     383      338228 : void dbm_zero(dbm_matrix_t *matrix) {
     384      338228 :   assert(omp_get_num_threads() == 1);
     385             : 
     386      338228 : #pragma omp parallel for schedule(dynamic)
     387             :   for (int ishard = 0; ishard < dbm_get_num_shards(matrix); ishard++) {
     388             :     dbm_shard_t *shard = &matrix->shards[ishard];
     389             :     memset(shard->data, 0, shard->data_size * sizeof(double));
     390             :   }
     391      338228 : }
     392             : 
     393             : /*******************************************************************************
     394             :  * \brief Adds matrix_b to matrix_a.
     395             :  * \author Ole Schuett
     396             :  ******************************************************************************/
     397      203013 : void dbm_add(dbm_matrix_t *matrix_a, const dbm_matrix_t *matrix_b) {
     398      203013 :   assert(omp_get_num_threads() == 1);
     399      203013 :   assert(matrix_a->dist == matrix_b->dist);
     400             : 
     401      203013 : #pragma omp parallel for schedule(dynamic)
     402             :   for (int ishard = 0; ishard < dbm_get_num_shards(matrix_b); ishard++) {
     403             :     dbm_shard_t *shard_a = &matrix_a->shards[ishard];
     404             :     const dbm_shard_t *shard_b = &matrix_b->shards[ishard];
     405             :     for (int iblock = 0; iblock < shard_b->nblocks; iblock++) {
     406             :       const dbm_block_t blk_b = shard_b->blocks[iblock];
     407             : 
     408             :       const int row_size = matrix_b->row_sizes[blk_b.row];
     409             :       const int col_size = matrix_b->col_sizes[blk_b.col];
     410             :       assert(row_size == matrix_a->row_sizes[blk_b.row]);
     411             :       assert(col_size == matrix_a->col_sizes[blk_b.col]);
     412             :       const int block_size = row_size * col_size;
     413             :       dbm_block_t *blk_a = dbm_shard_get_or_allocate_block(
     414             :           shard_a, blk_b.row, blk_b.col, block_size);
     415             :       double *data_a = &shard_a->data[blk_a->offset];
     416             :       const double *data_b = &shard_b->data[blk_b.offset];
     417             :       for (int i = 0; i < block_size; i++) {
     418             :         data_a[i] += data_b[i];
     419             :       }
     420             :     }
     421             :   }
     422      203013 : }
     423             : 
     424             : /*******************************************************************************
     425             :  * \brief Creates an iterator for the blocks of the given matrix.
     426             :  *        The iteration order is not stable.
     427             :  *        This routine must always be called within an OpenMP parallel region.
     428             :  * \author Ole Schuett
     429             :  ******************************************************************************/
     430     3148365 : void dbm_iterator_start(dbm_iterator_t **iter_out, const dbm_matrix_t *matrix) {
     431     3148365 :   assert(omp_get_num_threads() == omp_get_max_threads() &&
     432             :          "Please call dbm_iterator_start within an OpenMP parallel region.");
     433     3148365 :   dbm_iterator_t *iter = malloc(sizeof(dbm_iterator_t));
     434     3148365 :   assert(iter != NULL);
     435     3148365 :   iter->matrix = matrix;
     436     3148365 :   iter->next_block = 0;
     437     3148365 :   iter->next_shard = omp_get_thread_num();
     438     3687288 :   while (iter->next_shard < dbm_get_num_shards(matrix) &&
     439     3148365 :          matrix->shards[iter->next_shard].nblocks == 0) {
     440      538923 :     iter->next_shard += omp_get_num_threads();
     441             :   }
     442     3148365 :   assert(*iter_out == NULL);
     443     3148365 :   *iter_out = iter;
     444     3148365 : }
     445             : 
     446             : /*******************************************************************************
     447             :  * \brief Returns number of blocks the iterator will provide to calling thread.
     448             :  * \author Ole Schuett
     449             :  ******************************************************************************/
     450      592305 : int dbm_iterator_num_blocks(const dbm_iterator_t *iter) {
     451      592305 :   int num_blocks = 0;
     452      592305 :   for (int ishard = omp_get_thread_num();
     453     1184610 :        ishard < dbm_get_num_shards(iter->matrix);
     454      592305 :        ishard += omp_get_num_threads()) {
     455      592305 :     num_blocks += iter->matrix->shards[ishard].nblocks;
     456             :   }
     457      592305 :   return num_blocks;
     458             : }
     459             : 
     460             : /*******************************************************************************
     461             :  * \brief Tests whether the given iterator has any block left.
     462             :  * \author Ole Schuett
     463             :  ******************************************************************************/
     464    57360136 : bool dbm_iterator_blocks_left(const dbm_iterator_t *iter) {
     465    57360136 :   return iter->next_shard < dbm_get_num_shards(iter->matrix);
     466             : }
     467             : 
     468             : /*******************************************************************************
     469             :  * \brief Returns the next block from the given iterator.
     470             :  * \author Ole Schuett
     471             :  ******************************************************************************/
     472    65739674 : void dbm_iterator_next_block(dbm_iterator_t *iter, int *row, int *col,
     473             :                              double **block, int *row_size, int *col_size) {
     474    65739674 :   const dbm_matrix_t *matrix = iter->matrix;
     475    65739674 :   assert(iter->next_shard < dbm_get_num_shards(matrix));
     476    65739674 :   const dbm_shard_t *shard = &matrix->shards[iter->next_shard];
     477    65739674 :   assert(iter->next_block < shard->nblocks);
     478    65739674 :   dbm_block_t *blk = &shard->blocks[iter->next_block];
     479             : 
     480    65739674 :   *row = blk->row;
     481    65739674 :   *col = blk->col;
     482    65739674 :   *row_size = matrix->row_sizes[blk->row];
     483    65739674 :   *col_size = matrix->col_sizes[blk->col];
     484    65739674 :   *block = &shard->data[blk->offset];
     485             : 
     486    65739674 :   iter->next_block++;
     487    65739674 :   if (iter->next_block >= shard->nblocks) {
     488             :     // Advance to the next non-empty shard...
     489     2609442 :     iter->next_shard += omp_get_num_threads();
     490     2609442 :     while (iter->next_shard < dbm_get_num_shards(matrix) &&
     491           0 :            matrix->shards[iter->next_shard].nblocks == 0) {
     492           0 :       iter->next_shard += omp_get_num_threads();
     493             :     }
     494     2609442 :     iter->next_block = 0; // ...and continue with its first block.
     495             :   }
     496    65739674 : }
     497             : 
     498             : /*******************************************************************************
     499             :  * \brief Releases the given iterator.
     500             :  * \author Ole Schuett
     501             :  ******************************************************************************/
     502     3148365 : void dbm_iterator_stop(dbm_iterator_t *iter) { free(iter); }
     503             : 
     504             : /*******************************************************************************
     505             :  * \brief Computes a checksum of the given matrix.
     506             :  * \author Ole Schuett
     507             :  ******************************************************************************/
     508         190 : double dbm_checksum(const dbm_matrix_t *matrix) {
     509         190 :   double checksum = 0.0;
     510         380 :   for (int ishard = 0; ishard < dbm_get_num_shards(matrix); ishard++) {
     511         190 :     const dbm_shard_t *shard = &matrix->shards[ishard];
     512    14383658 :     for (int i = 0; i < shard->data_size; i++) {
     513    14383468 :       checksum += shard->data[i] * shard->data[i];
     514             :     }
     515             :   }
     516         190 :   dbm_mpi_sum_double(&checksum, 1, matrix->dist->comm);
     517         190 :   return checksum;
     518             : }
     519             : 
     520             : /*******************************************************************************
     521             :  * \brief Returns the absolute value of the larges element of the entire matrix.
     522             :  * \author Ole Schuett
     523             :  ******************************************************************************/
     524          48 : double dbm_maxabs(const dbm_matrix_t *matrix) {
     525          48 :   double maxabs = 0.0;
     526          96 :   for (int ishard = 0; ishard < dbm_get_num_shards(matrix); ishard++) {
     527          48 :     dbm_shard_t *shard = &matrix->shards[ishard];
     528     1599050 :     for (int i = 0; i < shard->data_size; i++) {
     529     1599002 :       maxabs = fmax(maxabs, fabs(shard->data[i]));
     530             :     }
     531             :   }
     532          48 :   dbm_mpi_max_double(&maxabs, 1, matrix->dist->comm);
     533          48 :   return maxabs;
     534             : }
     535             : 
     536             : /*******************************************************************************
     537             :  * \brief Returns the name of the matrix of the given matrix.
     538             :  * \author Ole Schuett
     539             :  ******************************************************************************/
     540     1708539 : const char *dbm_get_name(const dbm_matrix_t *matrix) { return matrix->name; }
     541             : 
     542             : /*******************************************************************************
     543             :  * \brief Returns the number of local Non-Zero Elements of the given matrix.
     544             :  * \author Ole Schuett
     545             :  ******************************************************************************/
     546     1742495 : int dbm_get_nze(const dbm_matrix_t *matrix) {
     547     1742495 :   int nze = 0;
     548     3484990 :   for (int ishard = 0; ishard < dbm_get_num_shards(matrix); ishard++) {
     549     1742495 :     nze += matrix->shards[ishard].data_size;
     550             :   }
     551     1742495 :   return nze;
     552             : }
     553             : 
     554             : /*******************************************************************************
     555             :  * \brief Returns the number of local blocks of the given matrix.
     556             :  * \author Ole Schuett
     557             :  ******************************************************************************/
     558      959404 : int dbm_get_num_blocks(const dbm_matrix_t *matrix) {
     559      959404 :   int nblocks = 0;
     560     1918808 :   for (int ishard = 0; ishard < dbm_get_num_shards(matrix); ishard++) {
     561      959404 :     nblocks += matrix->shards[ishard].nblocks;
     562             :   }
     563      959404 :   return nblocks;
     564             : }
     565             : 
     566             : /*******************************************************************************
     567             :  * \brief Returns the row block sizes of the given matrix.
     568             :  * \author Ole Schuett
     569             :  ******************************************************************************/
     570     4350948 : void dbm_get_row_sizes(const dbm_matrix_t *matrix, int *nrows,
     571             :                        const int **row_sizes) {
     572     4350948 :   *nrows = matrix->nrows;
     573     4350948 :   *row_sizes = matrix->row_sizes;
     574     4350948 : }
     575             : 
     576             : /*******************************************************************************
     577             :  * \brief Returns the column block sizes of the given matrix.
     578             :  * \author Ole Schuett
     579             :  ******************************************************************************/
     580     3297010 : void dbm_get_col_sizes(const dbm_matrix_t *matrix, int *ncols,
     581             :                        const int **col_sizes) {
     582     3297010 :   *ncols = matrix->ncols;
     583     3297010 :   *col_sizes = matrix->col_sizes;
     584     3297010 : }
     585             : 
     586             : /*******************************************************************************
     587             :  * \brief Returns the local row block sizes of the given matrix.
     588             :  * \author Ole Schuett
     589             :  ******************************************************************************/
     590      272240 : void dbm_get_local_rows(const dbm_matrix_t *matrix, int *nlocal_rows,
     591             :                         const int **local_rows) {
     592      272240 :   *nlocal_rows = matrix->dist->rows.nlocals;
     593      272240 :   *local_rows = matrix->dist->rows.local_indicies;
     594      272240 : }
     595             : 
     596             : /*******************************************************************************
     597             :  * \brief Returns the local column block sizes of the given matrix.
     598             :  * \author Ole Schuett
     599             :  ******************************************************************************/
     600      109102 : void dbm_get_local_cols(const dbm_matrix_t *matrix, int *nlocal_cols,
     601             :                         const int **local_cols) {
     602      109102 :   *nlocal_cols = matrix->dist->cols.nlocals;
     603      109102 :   *local_cols = matrix->dist->cols.local_indicies;
     604      109102 : }
     605             : 
     606             : /*******************************************************************************
     607             :  * \brief Returns the MPI rank on which the given block should be stored.
     608             :  * \author Ole Schuett
     609             :  ******************************************************************************/
     610    91788356 : int dbm_get_stored_coordinates(const dbm_matrix_t *matrix, const int row,
     611             :                                const int col) {
     612    91788356 :   return dbm_distribution_stored_coords(matrix->dist, row, col);
     613             : }
     614             : 
     615             : /*******************************************************************************
     616             :  * \brief Returns the distribution of the given matrix.
     617             :  * \author Ole Schuett
     618             :  ******************************************************************************/
     619     1199065 : const dbm_distribution_t *dbm_get_distribution(const dbm_matrix_t *matrix) {
     620     1199065 :   return matrix->dist;
     621             : }
     622             : 
     623             : // EOF

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