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//------------------------------------------------------------------------------
// GB_colscale: C = A*D where D is diagonal
//------------------------------------------------------------------------------
// SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2025, All Rights Reserved.
// SPDX-License-Identifier: Apache-2.0
//------------------------------------------------------------------------------
#include "mxm/GB_mxm.h"
#include "binaryop/GB_binop.h"
#include "apply/GB_apply.h"
#include "jitifyer/GB_stringify.h"
#ifndef GBCOMPACT
#include "GB_control.h"
#include "FactoryKernels/GB_ew__include.h"
#endif
#define GB_FREE_WORKSPACE \
{ \
GB_WERK_POP (A_ek_slicing, int64_t) ; \
}
#define GB_FREE_ALL \
{ \
GB_FREE_WORKSPACE ; \
GB_phybix_free (C) ; \
}
GrB_Info GB_colscale // C = A*D, column scale with diagonal D
(
GrB_Matrix C, // output matrix, static header
const GrB_Matrix A, // input matrix
const GrB_Matrix D, // diagonal input matrix
const GrB_Semiring semiring, // semiring that defines C=A*D;
// the monoid is not used
const bool flipxy, // if true, do z=fmult(b,a) vs fmult(a,b)
GB_Werk Werk
)
{
//--------------------------------------------------------------------------
// check inputs
//--------------------------------------------------------------------------
GrB_Info info ;
ASSERT (C != NULL && (C->header_size == 0 || GBNSTATIC)) ;
ASSERT_MATRIX_OK (A, "A for colscale A*D", GB0) ;
ASSERT_MATRIX_OK (D, "D for colscale A*D", GB0) ;
ASSERT (!GB_ZOMBIES (A)) ;
ASSERT (GB_JUMBLED_OK (A)) ;
ASSERT (!GB_PENDING (A)) ;
ASSERT (!GB_ZOMBIES (D)) ;
ASSERT (!GB_JUMBLED (D)) ;
ASSERT (!GB_PENDING (D)) ;
ASSERT_SEMIRING_OK (semiring, "semiring for numeric A*D", GB0) ;
ASSERT (A->vdim == D->vlen) ;
ASSERT (GB_is_diagonal (D)) ;
ASSERT (!GB_IS_BITMAP (A)) ; // TODO: ok for now
ASSERT (!GB_IS_BITMAP (D)) ;
ASSERT (!GB_IS_FULL (D)) ;
GB_WERK_DECLARE (A_ek_slicing, int64_t) ;
GBURBLE ("(%s=%s*%s) ",
GB_sparsity_char_matrix (A), // C has the sparsity structure of A
GB_sparsity_char_matrix (A),
GB_sparsity_char_matrix (D)) ;
//--------------------------------------------------------------------------
// get the semiring operators
//--------------------------------------------------------------------------
GrB_BinaryOp mult = semiring->multiply ;
GrB_Type ztype = mult->ztype ;
ASSERT (ztype == semiring->add->op->ztype) ;
GB_Opcode opcode = mult->opcode ;
GxB_binary_function fmult = mult->binop_function ;
// GB_reduce_to_vector does not use GB_colscale:
ASSERT (!(fmult == NULL &&
(opcode == GB_FIRST_binop_code || opcode == GB_SECOND_binop_code))) ;
// user-defined index binaryops do not use GB_colscale:
ASSERT (!GB_IS_INDEXBINARYOP_CODE (opcode)) ;
//--------------------------------------------------------------------------
// determine if C is iso (ignore the monoid since it isn't used)
//--------------------------------------------------------------------------
size_t zsize = ztype->size ;
GB_void cscalar [GB_VLA(zsize)] ;
bool C_iso = GB_AxB_iso (cscalar, A, D, A->vdim, semiring, flipxy, true) ;
//--------------------------------------------------------------------------
// copy the pattern of A into C
//--------------------------------------------------------------------------
// allocate C->x but do not initialize it
GB_OK (GB_dup_worker (&C, C_iso, A, false, ztype)) ;
info = GrB_NO_VALUE ;
ASSERT (C->type == ztype) ;
//--------------------------------------------------------------------------
// C = A*D, column scale, compute numerical values
//--------------------------------------------------------------------------
if (GB_IS_BUILTIN_BINOP_CODE_POSITIONAL (opcode))
{
//----------------------------------------------------------------------
// apply a positional operator: convert C=A*D to C=op(A)
//----------------------------------------------------------------------
// determine unary operator to compute C=A*D
ASSERT (!flipxy) ;
GrB_UnaryOp op = NULL ;
if (ztype == GrB_INT64)
{
switch (opcode)
{
// first_op(A,D) becomes position_op(A)
case GB_FIRSTI_binop_code : op = GxB_POSITIONI_INT64 ; break;
case GB_FIRSTJ_binop_code : op = GxB_POSITIONJ_INT64 ; break;
case GB_FIRSTI1_binop_code : op = GxB_POSITIONI1_INT64; break;
case GB_FIRSTJ1_binop_code : op = GxB_POSITIONJ1_INT64; break;
// second_op(A,D) becomes position_j(A)
case GB_SECONDI_binop_code :
case GB_SECONDJ_binop_code : op = GxB_POSITIONJ_INT64 ; break;
case GB_SECONDI1_binop_code :
case GB_SECONDJ1_binop_code : op = GxB_POSITIONJ1_INT64; break;
default: ;
}
}
else
{
switch (opcode)
{
// first_op(A,D) becomes position_op(A)
case GB_FIRSTI_binop_code : op = GxB_POSITIONI_INT32 ; break;
case GB_FIRSTJ_binop_code : op = GxB_POSITIONJ_INT32 ; break;
case GB_FIRSTI1_binop_code : op = GxB_POSITIONI1_INT32; break;
case GB_FIRSTJ1_binop_code : op = GxB_POSITIONJ1_INT32; break;
// second_op(A,D) becomes position_j(A)
case GB_SECONDI_binop_code :
case GB_SECONDJ_binop_code : op = GxB_POSITIONJ_INT32 ; break;
case GB_SECONDI1_binop_code :
case GB_SECONDJ1_binop_code : op = GxB_POSITIONJ1_INT32; break;
default: ;
}
}
GB_OK (GB_apply_op (C->x, C->type, GB_NON_ISO,
(GB_Operator) op, // positional op
NULL, false, false, A, Werk)) ;
ASSERT_MATRIX_OK (C, "colscale positional: C = A*D output", GB0) ;
info = GrB_SUCCESS ;
}
else if (C_iso)
{
//----------------------------------------------------------------------
// via the iso kernel
//----------------------------------------------------------------------
GBURBLE ("(iso colscale) ") ;
memcpy (C->x, cscalar, zsize) ;
info = GrB_SUCCESS ;
}
else
{
//----------------------------------------------------------------------
// C is non-iso
//----------------------------------------------------------------------
//----------------------------------------------------------------------
// determine if the values are accessed
//----------------------------------------------------------------------
ASSERT (fmult != NULL) ;
bool op_is_first = (opcode == GB_FIRST_binop_code) ;
bool op_is_second = (opcode == GB_SECOND_binop_code) ;
bool op_is_pair = (opcode == GB_PAIR_binop_code) ;
bool A_is_pattern = false ;
bool D_is_pattern = false ;
ASSERT (!op_is_pair) ;
if (flipxy)
{
// z = fmult (b,a) will be computed
A_is_pattern = op_is_first || op_is_pair ;
D_is_pattern = op_is_second || op_is_pair ;
ASSERT (GB_IMPLIES (!A_is_pattern,
GB_Type_compatible (A->type, mult->ytype))) ;
ASSERT (GB_IMPLIES (!D_is_pattern,
GB_Type_compatible (D->type, mult->xtype))) ;
}
else
{
// z = fmult (a,b) will be computed
A_is_pattern = op_is_second || op_is_pair ;
D_is_pattern = op_is_first || op_is_pair ;
ASSERT (GB_IMPLIES (!A_is_pattern,
GB_Type_compatible (A->type, mult->xtype))) ;
ASSERT (GB_IMPLIES (!D_is_pattern,
GB_Type_compatible (D->type, mult->ytype))) ;
}
info = GrB_NO_VALUE ;
#if defined ( GRAPHBLAS_HAS_CUDA )
if (GB_cuda_colscale_branch (A, D, semiring, flipxy))
{
info = GB_cuda_colscale (C, A, D, semiring, flipxy) ;
}
#endif
//----------------------------------------------------------------------
// determine the number of threads to use
//----------------------------------------------------------------------
int nthreads_max = GB_Context_nthreads_max ( ) ;
double chunk = GB_Context_chunk ( ) ;
//----------------------------------------------------------------------
// slice the entries for each task
//----------------------------------------------------------------------
int A_nthreads, A_ntasks ;
GB_SLICE_MATRIX2 (A, 32) ;
//----------------------------------------------------------------------
// via the factory kernel
//----------------------------------------------------------------------
#ifndef GBCOMPACT
GB_IF_FACTORY_KERNELS_ENABLED
if (info == GrB_NO_VALUE)
{
//------------------------------------------------------------------
// define the worker for the switch factory
//------------------------------------------------------------------
#define GB_AxD(mult,xname) GB (_AxD_ ## mult ## xname)
#define GB_BINOP_WORKER(mult,xname) \
{ \
info = GB_AxD(mult,xname) (C, A, D, \
A_ek_slicing, A_ntasks, A_nthreads) ; \
} \
break ;
//------------------------------------------------------------------
// launch the switch factory
//------------------------------------------------------------------
GB_Type_code xcode, ycode, zcode ;
if (GB_binop_builtin (A->type, A_is_pattern, D->type, D_is_pattern,
mult, flipxy, &opcode, &xcode, &ycode, &zcode))
{
// C=A*D, colscale with built-in operator
#define GB_BINOP_IS_SEMIRING_MULTIPLIER
#define GB_NO_PAIR
#include "binaryop/factory/GB_binop_factory.c"
#undef GB_BINOP_IS_SEMIRING_MULTIPLIER
}
}
#endif
//----------------------------------------------------------------------
// via the JIT or PreJIT kernel
//----------------------------------------------------------------------
if (info == GrB_NO_VALUE)
{
info = GB_colscale_jit (C, A, D, mult, flipxy,
A_ek_slicing, A_ntasks, A_nthreads) ;
}
//----------------------------------------------------------------------
// via the generic kernel
//----------------------------------------------------------------------
if (info == GrB_NO_VALUE)
{
//------------------------------------------------------------------
// get operators, functions, workspace, contents of A, D, and C
//------------------------------------------------------------------
#include "generic/GB_generic.h"
GB_BURBLE_MATRIX (C, "(generic C=A*D colscale) ") ;
size_t csize = C->type->size ;
size_t asize = A_is_pattern ? 0 : A->type->size ;
size_t dsize = D_is_pattern ? 0 : D->type->size ;
size_t xsize = mult->xtype->size ;
size_t ysize = mult->ytype->size ;
// scalar workspace: because of typecasting, the x/y types need not
// be the same as the size of the A and D types.
// flipxy false: aij = (xtype) A(i,j) and djj = (ytype) D(j,j)
// flipxy true: aij = (ytype) A(i,j) and djj = (xtype) D(j,j)
size_t aij_size = flipxy ? ysize : xsize ;
size_t djj_size = flipxy ? xsize : ysize ;
GB_cast_function cast_A, cast_D ;
if (flipxy)
{
// A is typecasted to y, and D is typecasted to x
cast_A = A_is_pattern ? NULL :
GB_cast_factory (mult->ytype->code, A->type->code) ;
cast_D = D_is_pattern ? NULL :
GB_cast_factory (mult->xtype->code, D->type->code) ;
}
else
{
// A is typecasted to x, and D is typecasted to y
cast_A = A_is_pattern ? NULL :
GB_cast_factory (mult->xtype->code, A->type->code) ;
cast_D = D_is_pattern ? NULL :
GB_cast_factory (mult->ytype->code, D->type->code) ;
}
//------------------------------------------------------------------
// C = A*D via function pointers, and typecasting
//------------------------------------------------------------------
// aij = A(i,j), located in Ax [pA]
#define GB_DECLAREA(aij) \
GB_void aij [GB_VLA(aij_size)] ;
#define GB_GETA(aij,Ax,pA,A_iso) \
if (!A_is_pattern) \
{ \
cast_A (aij, Ax +(A_iso ? 0:(pA)*asize), asize) ; \
}
// dji = D(j,j), located in Dx [j]
#define GB_DECLAREB(djj) \
GB_void djj [GB_VLA(djj_size)] ;
#define GB_GETB(djj,Dx,j,D_iso) \
if (!D_is_pattern) \
{ \
cast_D (djj, Dx +(D_iso ? 0:(j)*dsize), dsize) ; \
}
#define GB_C_TYPE GB_void
#include "ewise/include/GB_ewise_shared_definitions.h"
// conventional binary op
if (flipxy)
{
#undef GB_EWISEOP
#define GB_EWISEOP(Cx,p,y,x,j,i) fmult (Cx +((p)*csize),x,y)
#include "mxm/template/GB_colscale_template.c"
}
else
{
#undef GB_EWISEOP
#define GB_EWISEOP(Cx,p,x,y,i,j) fmult (Cx +((p)*csize),x,y)
#include "mxm/template/GB_colscale_template.c"
}
info = GrB_SUCCESS ;
}
}
if (info != GrB_SUCCESS)
{
// out of memory, or other error
GB_FREE_ALL ;
return (info) ;
}
//--------------------------------------------------------------------------
// free workspace and return result
//--------------------------------------------------------------------------
ASSERT_MATRIX_OK (C, "colscale: C = A*D output", GB0) ;
GB_FREE_WORKSPACE ;
return (GrB_SUCCESS) ;
}
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