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//------------------------------------------------------------------------------
// GB_split_sparse: split a sparse/hypersparse matrix into tiles
//------------------------------------------------------------------------------
// SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2022, All Rights Reserved.
// SPDX-License-Identifier: Apache-2.0
//------------------------------------------------------------------------------
#define GB_FREE_WORKSPACE \
GB_WERK_POP (C_ek_slicing, int64_t) ; \
GB_FREE_WORK (&Wp, Wp_size) ;
#define GB_FREE_ALL \
GB_FREE_WORKSPACE ; \
GB_Matrix_free (&C) ;
#include "GB_split.h"
GrB_Info GB_split_sparse // split a sparse matrix
(
GrB_Matrix *Tiles, // 2D row-major array of size m-by-n
const GrB_Index m,
const GrB_Index n,
const int64_t *restrict Tile_rows, // size m+1
const int64_t *restrict Tile_cols, // size n+1
const GrB_Matrix A, // input matrix
GB_Context Context
)
{
//--------------------------------------------------------------------------
// get inputs
//--------------------------------------------------------------------------
GrB_Info info ;
int A_sparsity = GB_sparsity (A) ;
bool A_is_hyper = (A_sparsity == GxB_HYPERSPARSE) ;
ASSERT (A_is_hyper || A_sparsity == GxB_SPARSE) ;
GrB_Matrix C = NULL ;
GB_WERK_DECLARE (C_ek_slicing, int64_t) ;
ASSERT_MATRIX_OK (A, "A sparse for split", GB0) ;
int sparsity_control = A->sparsity_control ;
float hyper_switch = A->hyper_switch ;
bool csc = A->is_csc ;
GrB_Type atype = A->type ;
// int64_t avlen = A->vlen ;
// int64_t avdim = A->vdim ;
size_t asize = atype->size ;
GB_GET_NTHREADS_MAX (nthreads_max, chunk, Context) ;
int64_t nouter = csc ? n : m ;
int64_t ninner = csc ? m : n ;
const int64_t *Tile_vdim = csc ? Tile_cols : Tile_rows ;
const int64_t *Tile_vlen = csc ? Tile_rows : Tile_cols ;
int64_t anvec = A->nvec ;
const int64_t *restrict Ap = A->p ;
const int64_t *restrict Ah = A->h ;
const int64_t *restrict Ai = A->i ;
const bool A_iso = A->iso ;
//--------------------------------------------------------------------------
// allocate workspace
//--------------------------------------------------------------------------
size_t Wp_size = 0 ;
int64_t *restrict Wp = NULL ;
Wp = GB_MALLOC_WORK (anvec, int64_t, &Wp_size) ;
if (Wp == NULL)
{
// out of memory
GB_FREE_ALL ;
return (GrB_OUT_OF_MEMORY) ;
}
GB_memcpy (Wp, Ap, anvec * sizeof (int64_t), nthreads_max) ;
//--------------------------------------------------------------------------
// split A into tiles
//--------------------------------------------------------------------------
int64_t akend = 0 ;
for (int64_t outer = 0 ; outer < nouter ; outer++)
{
//----------------------------------------------------------------------
// find the starting and ending vector of these tiles
//----------------------------------------------------------------------
// The tile appears in vectors avstart:avend-1 of A, and indices
// aistart:aiend-1.
const int64_t avstart = Tile_vdim [outer] ;
const int64_t avend = Tile_vdim [outer+1] ;
int64_t akstart = akend ;
if (A_is_hyper)
{
// A is hypersparse: look for vector avend in the A->h hyper list.
// The vectors to handle for this outer loop are in
// Ah [akstart:akend-1].
akend = akstart ;
int64_t pright = anvec - 1 ;
bool found ;
GB_SPLIT_BINARY_SEARCH (avend, Ah, akend, pright, found) ;
ASSERT (GB_IMPLIES (akstart <= akend-1, Ah [akend-1] < avend)) ;
}
else
{
// A is sparse; the vectors to handle are akstart:akend-1
akend = avend ;
}
// # of vectors in all tiles in this outer loop
int64_t cnvec = akend - akstart ;
int nth = GB_nthreads (cnvec, chunk, nthreads_max) ;
//----------------------------------------------------------------------
// create all tiles for vectors akstart:akend-1 in A
//----------------------------------------------------------------------
for (int64_t inner = 0 ; inner < ninner ; inner++)
{
//------------------------------------------------------------------
// allocate C, C->p, and C->h for this tile
//------------------------------------------------------------------
const int64_t aistart = Tile_vlen [inner] ;
const int64_t aiend = Tile_vlen [inner+1] ;
const int64_t cvdim = avend - avstart ;
const int64_t cvlen = aiend - aistart ;
C = NULL ;
GB_OK (GB_new (&C, // new header
atype, cvlen, cvdim, GB_Ap_malloc, csc, A_sparsity,
hyper_switch, cnvec, Context)) ;
C->sparsity_control = sparsity_control ;
C->hyper_switch = hyper_switch ;
C->nvec = cnvec ;
int64_t *restrict Cp = C->p ;
int64_t *restrict Ch = C->h ;
//------------------------------------------------------------------
// determine the boundaries of this tile
//------------------------------------------------------------------
int64_t k ;
#pragma omp parallel for num_threads(nth) schedule(static)
for (k = akstart ; k < akend ; k++)
{
int64_t pA = Wp [k] ;
const int64_t pA_end = Ap [k+1] ;
const int64_t aknz = pA_end - pA ;
if (aknz == 0 || Ai [pA] >= aiend)
{
// this vector of C is empty
}
else if (aknz > 256)
{
// use binary search to find aiend
bool found ;
int64_t pright = pA_end - 1 ;
GB_SPLIT_BINARY_SEARCH (aiend, Ai, pA, pright, found) ;
#ifdef GB_DEBUG
// check the results with a linear search
int64_t p2 = Wp [k] ;
for ( ; p2 < Ap [k+1] ; p2++)
{
if (Ai [p2] >= aiend) break ;
}
ASSERT (pA == p2) ;
#endif
}
else
{
// use a linear-time search to find aiend
for ( ; pA < pA_end ; pA++)
{
if (Ai [pA] >= aiend) break ;
}
#ifdef GB_DEBUG
// check the results with a binary search
bool found ;
int64_t p2 = Wp [k] ;
int64_t p2_end = Ap [k+1] - 1 ;
GB_SPLIT_BINARY_SEARCH (aiend, Ai, p2, p2_end, found) ;
ASSERT (pA == p2) ;
#endif
}
Cp [k-akstart] = (pA - Wp [k]) ; // # of entries in this vector
if (A_is_hyper)
{
Ch [k-akstart] = Ah [k] - avstart ;
}
}
GB_cumsum (Cp, cnvec, &(C->nvec_nonempty), nth, Context) ;
int64_t cnz = Cp [cnvec] ;
//------------------------------------------------------------------
// allocate C->i and C->x for this tile
//------------------------------------------------------------------
// set C->iso = A_iso OK
GB_OK (GB_bix_alloc (C, cnz, GxB_SPARSE, false, true, A_iso,
Context)) ;
int64_t *restrict Ci = C->i ;
C->nvals = cnz ;
C->magic = GB_MAGIC ; // for GB_nnz_held(C), to slice C
//------------------------------------------------------------------
// copy the tile from A into C
//------------------------------------------------------------------
int C_ntasks, C_nthreads ;
GB_SLICE_MATRIX (C, 8, chunk) ;
bool done = false ;
if (A_iso)
{
//--------------------------------------------------------------
// split an iso matrix A into an iso tile C
//--------------------------------------------------------------
// A is iso and so is C; copy the iso entry
GBURBLE ("(iso sparse split) ") ;
memcpy (C->x, A->x, asize) ;
#define GB_ISO_SPLIT
#define GB_COPY(pC,pA) ;
#include "GB_split_sparse_template.c"
}
else
{
//--------------------------------------------------------------
// split a non-iso matrix A into an non-iso tile C
//--------------------------------------------------------------
#ifndef GBCUDA_DEV
// no typecasting needed
switch (asize)
{
#undef GB_COPY
#define GB_COPY(pC,pA) Cx [pC] = Ax [pA] ;
case GB_1BYTE : // uint8, int8, bool, or 1-byte user-defined
#define GB_CTYPE uint8_t
#include "GB_split_sparse_template.c"
break ;
case GB_2BYTE : // uint16, int16, or 2-byte user-defined
#define GB_CTYPE uint16_t
#include "GB_split_sparse_template.c"
break ;
case GB_4BYTE : // uint32, int32, float, or 4-byte user
#define GB_CTYPE uint32_t
#include "GB_split_sparse_template.c"
break ;
case GB_8BYTE : // uint64, int64, double, float complex,
// or 8-byte user defined
#define GB_CTYPE uint64_t
#include "GB_split_sparse_template.c"
break ;
case GB_16BYTE : // double complex or 16-byte user-defined
#define GB_CTYPE GB_blob16
/*
#define GB_CTYPE uint64_t
#undef GB_COPY
#define GB_COPY(pC,pA) \
Cx [2*pC ] = Ax [2*pA ] ; \
Cx [2*pC+1] = Ax [2*pA+1] ;
*/
#include "GB_split_sparse_template.c"
break ;
default:;
}
#endif
}
if (!done)
{
// user-defined types
#define GB_CTYPE GB_void
#undef GB_COPY
#define GB_COPY(pC,pA) \
memcpy (Cx + (pC)*asize, Ax +(pA)*asize, asize) ;
#include "GB_split_sparse_template.c"
}
//------------------------------------------------------------------
// free workspace
//------------------------------------------------------------------
GB_WERK_POP (C_ek_slicing, int64_t) ;
//------------------------------------------------------------------
// advance to the next tile
//------------------------------------------------------------------
if (inner < ninner - 1)
{
int64_t k ;
#pragma omp parallel for num_threads(nth) schedule(static)
for (k = akstart ; k < akend ; k++)
{
int64_t ck = k - akstart ;
int64_t cknz = Cp [ck+1] - Cp [ck] ;
Wp [k] += cknz ;
}
}
//------------------------------------------------------------------
// conform the tile and save it in the Tiles array
//------------------------------------------------------------------
ASSERT_MATRIX_OK (C, "C for GB_split", GB0) ;
GB_OK (GB_hypermatrix_prune (C, Context)) ;
GB_OK (GB_conform (C, Context)) ;
if (csc)
{
GB_TILE (Tiles, inner, outer) = C ;
}
else
{
GB_TILE (Tiles, outer, inner) = C ;
}
ASSERT_MATRIX_OK (C, "final tile C for GB_split", GB0) ;
C = NULL ;
}
}
GB_FREE_WORKSPACE ;
return (GrB_SUCCESS) ;
}
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