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//------------------------------------------------------------------------------
// GB_concat_sparse: concatenate an array of matrices into a sparse matrix
//------------------------------------------------------------------------------
// SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2022, All Rights Reserved.
// SPDX-License-Identifier: Apache-2.0
//------------------------------------------------------------------------------
#define GB_FREE_WORKSPACE \
if (S != NULL) \
{ \
for (int64_t k = 0 ; k < m * n ; k++) \
{ \
GB_Matrix_free (&(S [k])) ; \
} \
} \
GB_FREE_WORK (&S, S_size) ; \
GB_FREE_WORK (&Work, Work_size) ; \
GB_WERK_POP (A_ek_slicing, int64_t) ;
#define GB_FREE_ALL \
{ \
GB_FREE_WORKSPACE ; \
GB_phybix_free (C) ; \
}
#include "GB_concat.h"
#include "GB_unused.h"
GrB_Info GB_concat_sparse // concatenate into a sparse matrix
(
GrB_Matrix C, // input/output matrix for results
const bool C_iso, // if true, construct C as iso
const GB_void *cscalar, // iso value of C, if C is io
const int64_t cnz, // # of entries in C
const 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
GB_Context Context
)
{
//--------------------------------------------------------------------------
// allocate C as a sparse matrix
//--------------------------------------------------------------------------
GrB_Info info ;
GrB_Matrix A = NULL ;
ASSERT_MATRIX_OK (C, "C input to concat sparse", GB0) ;
GB_WERK_DECLARE (A_ek_slicing, int64_t) ;
int64_t *Work = NULL ;
size_t Work_size = 0 ;
GrB_Matrix *S = NULL ;
size_t S_size = 0 ;
GrB_Type ctype = C->type ;
int64_t cvlen = C->vlen ;
int64_t cvdim = C->vdim ;
bool csc = C->is_csc ;
size_t csize = ctype->size ;
GB_Type_code ccode = ctype->code ;
float hyper_switch = C->hyper_switch ;
float bitmap_switch = C->bitmap_switch ;
int sparsity_control = C->sparsity_control ;
GB_phybix_free (C) ;
// set C->iso = C_iso OK
GB_OK (GB_new_bix (&C, // existing header
ctype, cvlen, cvdim, GB_Ap_malloc, csc, GxB_SPARSE, false,
hyper_switch, cvdim, cnz, true, C_iso, Context)) ;
C->bitmap_switch = bitmap_switch ;
C->sparsity_control = sparsity_control ;
int64_t *restrict Cp = C->p ;
int64_t *restrict Ci = C->i ;
GB_GET_NTHREADS_MAX (nthreads_max, chunk, Context) ;
if (C_iso)
{
memcpy (C->x, cscalar, csize) ;
}
//--------------------------------------------------------------------------
// allocate workspace
//--------------------------------------------------------------------------
int64_t nouter = csc ? n : m ;
int64_t ninner = csc ? m : n ;
Work = GB_CALLOC_WORK (ninner * cvdim, int64_t, &Work_size) ;
S = GB_CALLOC_WORK (m * n, GrB_Matrix, &S_size) ;
if (S == NULL || Work == NULL)
{
// out of memory
GB_FREE_ALL ;
return (GrB_OUT_OF_MEMORY) ;
}
//--------------------------------------------------------------------------
// count entries in each vector of each tile
//--------------------------------------------------------------------------
for (int64_t outer = 0 ; outer < nouter ; outer++)
{
for (int64_t inner = 0 ; inner < ninner ; inner++)
{
//------------------------------------------------------------------
// get the tile A; transpose and typecast, if needed
//------------------------------------------------------------------
A = csc ? GB_TILE (Tiles, inner, outer)
: GB_TILE (Tiles, outer, inner) ;
GrB_Matrix T = NULL ;
ASSERT_MATRIX_OK (A, "A tile for concat sparse", GB0) ;
if (csc != A->is_csc)
{
// T = (ctype) A', not in-place, using a dynamic header
GB_OK (GB_new (&T, // auto sparsity, new header
A->type, A->vdim, A->vlen, GB_Ap_null, csc,
GxB_AUTO_SPARSITY, -1, 1, Context)) ;
// save T in array S
if (csc)
{
GB_TILE (S, inner, outer) = T ;
}
else
{
GB_TILE (S, outer, inner) = T ;
}
GB_OK (GB_transpose_cast (T, ctype, csc, A, false, Context)) ;
A = T ;
GB_MATRIX_WAIT (A) ;
ASSERT_MATRIX_OK (A, "T=A' for concat sparse", GB0) ;
}
ASSERT (C->is_csc == A->is_csc) ;
ASSERT (!GB_ANY_PENDING_WORK (A)) ;
//------------------------------------------------------------------
// ensure the tile is not bitmap
//------------------------------------------------------------------
if (GB_IS_BITMAP (A))
{
if (T == NULL)
{
// copy A into T
// set T->iso = A->iso OK: no burble needed
GB_OK (GB_dup_worker (&T, A->iso, A, true, NULL, Context)) ;
// save T in array S
if (csc)
{
GB_TILE (S, inner, outer) = T ;
}
else
{
GB_TILE (S, outer, inner) = T ;
}
ASSERT_MATRIX_OK (T, "T=dup(A) for concat sparse", GB0) ;
}
// convert T from bitmap to sparse
GB_OK (GB_convert_bitmap_to_sparse (T, Context)) ;
ASSERT_MATRIX_OK (T, "T bitmap to sparse, concat sparse", GB0) ;
A = T ;
}
ASSERT (!GB_IS_BITMAP (A)) ;
//------------------------------------------------------------------
// log the # of entries in each vector of the tile A
//------------------------------------------------------------------
const int64_t anvec = A->nvec ;
const int64_t avlen = A->vlen ;
int64_t cvstart = csc ? Tile_cols [outer] : Tile_rows [outer] ;
int64_t *restrict W = Work + inner * cvdim + cvstart ;
int nth = GB_nthreads (anvec, chunk, nthreads_max) ;
if (GB_IS_FULL (A))
{
// A is full
int64_t j ;
#pragma omp parallel for num_threads(nth) schedule(static)
for (j = 0 ; j < anvec ; j++)
{
// W [j] = # of entries in A(:,j), which is just avlen
W [j] = avlen ;
}
}
else
{
// A is sparse or hyper
int64_t k ;
int64_t *restrict Ah = A->h ;
int64_t *restrict Ap = A->p ;
#pragma omp parallel for num_threads(nth) schedule(static)
for (k = 0 ; k < anvec ; k++)
{
// W [j] = # of entries in A(:,j), the kth column of A
int64_t j = GBH (Ah, k) ;
W [j] = Ap [k+1] - Ap [k] ;
}
}
}
}
//--------------------------------------------------------------------------
// cumulative sum of entries in each tile
//--------------------------------------------------------------------------
int nth = GB_nthreads (ninner*cvdim, chunk, nthreads_max) ;
int64_t k ;
#pragma omp parallel for num_threads(nth) schedule(static)
for (k = 0 ; k < cvdim ; k++)
{
int64_t s = 0 ;
for (int64_t inner = 0 ; inner < ninner ; inner++)
{
int64_t p = inner * cvdim + k ;
int64_t c = Work [p] ;
Work [p] = s ;
s += c ;
}
// total number of entries in C(:,k)
Cp [k] = s ;
}
GB_cumsum (Cp, cvdim, &(C->nvec_nonempty), nthreads_max, Context) ;
ASSERT (cnz == Cp [cvdim]) ;
C->nvals = cnz ;
#pragma omp parallel for num_threads(nth) schedule(static)
for (k = 0 ; k < cvdim ; k++)
{
int64_t pC = Cp [k] ;
for (int64_t inner = 0 ; inner < ninner ; inner++)
{
int64_t p = inner * cvdim + k ;
Work [p] += pC ;
}
}
//--------------------------------------------------------------------------
// concatenate all matrices into C
//--------------------------------------------------------------------------
for (int64_t outer = 0 ; outer < nouter ; outer++)
{
for (int64_t inner = 0 ; inner < ninner ; inner++)
{
//------------------------------------------------------------------
// get the tile A, either the temporary matrix T or the original A
//------------------------------------------------------------------
A = csc ? GB_TILE (S, inner, outer)
: GB_TILE (S, outer, inner) ;
if (A == NULL)
{
A = csc ? GB_TILE (Tiles, inner, outer)
: GB_TILE (Tiles, outer, inner) ;
}
ASSERT_MATRIX_OK (A, "A tile again, concat sparse", GB0) ;
ASSERT (!GB_IS_BITMAP (A)) ;
ASSERT (C->is_csc == A->is_csc) ;
ASSERT (!GB_ANY_PENDING_WORK (A)) ;
GB_Type_code acode = A->type->code ;
//------------------------------------------------------------------
// determine where to place the tile in C
//------------------------------------------------------------------
// The tile A appears in vectors cvstart:cvend-1 of C, and indices
// cistart:ciend-1.
int64_t cvstart, cvend, cistart, ciend ;
if (csc)
{
// C and A are held by column
// Tiles is row-major and accessed in column order
cvstart = Tile_cols [outer] ;
cvend = Tile_cols [outer+1] ;
cistart = Tile_rows [inner] ;
ciend = Tile_rows [inner+1] ;
}
else
{
// C and A are held by row
// Tiles is row-major and accessed in row order
cvstart = Tile_rows [outer] ;
cvend = Tile_rows [outer+1] ;
cistart = Tile_cols [inner] ;
ciend = Tile_cols [inner+1] ;
}
// get the workspace pointer array W for this tile
int64_t *restrict W = Work + inner * cvdim + cvstart ;
//------------------------------------------------------------------
// slice the tile
//------------------------------------------------------------------
int64_t avdim = cvend - cvstart ;
int64_t avlen = ciend - cistart ;
ASSERT (avdim == A->vdim) ;
ASSERT (avlen == A->vlen) ;
int A_nthreads, A_ntasks ;
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 ;
GB_SLICE_MATRIX (A, 1, chunk) ;
//------------------------------------------------------------------
// copy the tile A into C
//------------------------------------------------------------------
bool done = false ;
if (C_iso)
{
//--------------------------------------------------------------
// C and A are iso
//--------------------------------------------------------------
#define GB_ISO_CONCAT
#define GB_COPY(pC,pA,A_iso) ;
#include "GB_concat_sparse_template.c"
}
else
{
#ifndef GBCUDA_DEV
if (ccode == acode)
{
// no typecasting needed
switch (csize)
{
#undef GB_COPY
#define GB_COPY(pC,pA,A_iso) \
Cx [pC] = GBX (Ax, pA, A_iso) ;
case GB_1BYTE : // uint8, int8, bool, or 1-byte user
#define GB_CTYPE uint8_t
#include "GB_concat_sparse_template.c"
break ;
case GB_2BYTE : // uint16, int16, or 2-byte user
#define GB_CTYPE uint16_t
#include "GB_concat_sparse_template.c"
break ;
case GB_4BYTE : // uint32, int32, float, or 4-byte user
#define GB_CTYPE uint32_t
#include "GB_concat_sparse_template.c"
break ;
case GB_8BYTE : // uint64, int64, double, float complex,
// or 8-byte user defined
#define GB_CTYPE uint64_t
#include "GB_concat_sparse_template.c"
break ;
case GB_16BYTE : // double complex or 16-byte user
#define GB_CTYPE GB_blob16
#include "GB_concat_sparse_template.c"
break ;
default:;
}
}
#endif
}
if (!done)
{
// with typecasting or user-defined types
GB_cast_function cast_A_to_C = GB_cast_factory (ccode, acode) ;
size_t asize = A->type->size ;
#define GB_CTYPE GB_void
#undef GB_COPY
#define GB_COPY(pC,pA,A_iso) \
cast_A_to_C (Cx + (pC)*csize, \
Ax + (A_iso ? 0:(pA)*asize), asize) ;
#include "GB_concat_sparse_template.c"
}
GB_WERK_POP (A_ek_slicing, int64_t) ;
}
}
//--------------------------------------------------------------------------
// free workspace and return result
//--------------------------------------------------------------------------
GB_FREE_WORKSPACE ;
C->magic = GB_MAGIC ;
ASSERT_MATRIX_OK (C, "C from concat sparse", GB0) ;
return (GrB_SUCCESS) ;
}
|
