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//------------------------------------------------------------------------------
// GB_transpose_op: transpose, typecast, and apply an operator to a matrix
//------------------------------------------------------------------------------
// SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2025, All Rights Reserved.
// SPDX-License-Identifier: Apache-2.0
//------------------------------------------------------------------------------
// C = op (A')
// The values of A are typecasted to op->xtype and then passed to the unary
// operator. The output is assigned to C, which must be of type op->ztype; no
// output typecasting done with the output of the operator.
// If the op is positional, it has been replaced with the unary op
// GxB_ONE_INT64, as a placeholder, and C_code_iso is GB_ISO_1. The true op
// is applied later, in GB_transpose.
// If A is sparse or hypersparse (but not as-is-full)
// The pattern of C is constructed. C is sparse.
// Workspaces and A_slice are non-NULL.
// This method is parallel, but not highly scalable. It uses only
// nthreads = nnz(A)/(A->vlen) threads.
// If A is full or as-if-full:
// The pattern of C is not constructed. C is full.
// Workspaces and A_slice are NULL.
// This method is parallel and fully scalable.
// If A is bitmap:
// C->b is constructed. C is bitmap.
// Workspaces and A_slice are NULL.
// This method is parallel and fully scalable.
#include "transpose/GB_transpose.h"
#include "binaryop/GB_binop.h"
#include "jitifyer/GB_stringify.h"
#ifndef GBCOMPACT
#include "GB_control.h"
#include "FactoryKernels/GB_uop__include.h"
#include "FactoryKernels/GB_ew__include.h"
#endif
GrB_Info GB_transpose_op // transpose, typecast, and apply operator to a matrix
(
GrB_Matrix C, // output matrix
const GB_iso_code C_code_iso, // iso code for C
const GB_Operator op, // unary/idxunop/binop to apply
const GrB_Scalar scalar, // scalar to bind to binary operator
bool binop_bind1st, // if true, binop(x,A) else binop(A,y)
const GrB_Matrix A, // input matrix
// for sparse or hypersparse case:
void **Workspaces, // Workspaces, size nworkspaces
const int64_t *restrict A_slice, // how A is sliced, size nthreads+1
int nworkspaces, // # of workspaces to use
// for all cases:
int nthreads // # of threads to use
)
{
//--------------------------------------------------------------------------
// check inputs
//--------------------------------------------------------------------------
ASSERT (!GB_ZOMBIES (A)) ;
ASSERT (GB_JUMBLED_OK (A)) ;
ASSERT (!GB_PENDING (A)) ;
GrB_Info info = GrB_NO_VALUE ;
GrB_Type Atype = A->type ;
ASSERT (op != NULL) ;
GB_Opcode opcode = op->opcode ;
// positional operators and idxunop are applied after the transpose
// future:: extend this method to handle positional and idxunop operators
ASSERT (!GB_OPCODE_IS_POSITIONAL (opcode)) ;
ASSERT (!GB_IS_INDEXUNARYOP_CODE (opcode)) ;
// for the generic kernels below:
bool Cp_is_32 = C->p_is_32 ;
#define GB_Cp_IS_32 Cp_is_32
#define GB_A_TYPE GB_void
#define GB_C_TYPE GB_void
//--------------------------------------------------------------------------
// transpose the matrix and apply the operator
//--------------------------------------------------------------------------
if (C->iso)
{
//----------------------------------------------------------------------
// via the iso kernel
//----------------------------------------------------------------------
// if C is iso, only the pattern is transposed. The numerical work
// takes O(1) time
// Cx [0] = unop (A), binop (scalar,A), or binop (A,scalar)
GB_unop_iso ((GB_void *) C->x, C->type, C_code_iso, op, A, scalar) ;
// C = transpose the pattern
#define GB_ISO_TRANSPOSE
#include "transpose/template/GB_transpose_template.c"
info = GrB_SUCCESS ;
}
else if (GB_IS_UNARYOP_CODE (opcode))
{
//----------------------------------------------------------------------
// apply the unary operator to all entries
//----------------------------------------------------------------------
ASSERT_OP_OK (op, "op for transpose", GB0) ;
//----------------------------------------------------------------------
// via the factory kernel
//----------------------------------------------------------------------
#ifndef GBCOMPACT
GB_IF_FACTORY_KERNELS_ENABLED
{
if (Atype == op->xtype || opcode == GB_IDENTITY_unop_code)
{
// The switch factory is used if the unop is IDENTITY, or if no
// typecasting is being done. The IDENTITY operator can do
// arbitrary typecasting.
//--------------------------------------------------------------
// define the worker for the switch factory
//--------------------------------------------------------------
#define GB_uop_tran(opname,zname,aname) \
GB (_uop_tran_ ## opname ## zname ## aname)
#define GB_WORKER(opname,zname,ztype,aname,atype) \
{ \
info = GB_uop_tran (opname,zname,aname) \
(C, A, Workspaces, A_slice, nworkspaces, nthreads) ; \
} \
break ;
//--------------------------------------------------------------
// launch the switch factory
//--------------------------------------------------------------
#include "apply/factory/GB_unop_factory.c"
}
}
#endif
//----------------------------------------------------------------------
// via the JIT or PreJIT kernel
//----------------------------------------------------------------------
if (info == GrB_NO_VALUE)
{
info = GB_transpose_unop_jit (C, op, A, Workspaces, A_slice,
nworkspaces, nthreads) ;
}
//----------------------------------------------------------------------
// via the generic kernel
//----------------------------------------------------------------------
if (info == GrB_NO_VALUE)
{
GB_BURBLE_MATRIX (A, "(generic transpose: %s) ", op->name) ;
size_t asize = Atype->size ;
size_t zsize = op->ztype->size ;
size_t xsize = op->xtype->size ;
GB_cast_function
cast_A_to_X = GB_cast_factory (op->xtype->code, Atype->code) ;
GxB_unary_function fop = op->unop_function ;
ASSERT_TYPE_OK (op->ztype, "unop ztype", GB0) ;
ASSERT_TYPE_OK (op->xtype, "unop xtype", GB0) ;
ASSERT_TYPE_OK (C->type, "C type", GB0) ;
ASSERT (C->type->size == zsize) ;
ASSERT (C->type == op->ztype) ;
// Cx [pC] = unop ((xtype) Ax [pA])
#undef GB_APPLY_OP
#define GB_APPLY_OP(pC,pA) \
{ \
/* xwork = (xtype) Ax [pA] */ \
GB_void xwork [GB_VLA(xsize)] ; \
cast_A_to_X (xwork, Ax +((pA)*asize), asize) ; \
/* Cx [pC] = fop (xwork) ; Cx is of type op->ztype */ \
fop (Cx +((pC)*zsize), xwork) ; \
}
#include "transpose/template/GB_transpose_template.c"
info = GrB_SUCCESS ;
}
}
else
{
//----------------------------------------------------------------------
// apply a binary operator (bound to a scalar)
//----------------------------------------------------------------------
ASSERT_OP_OK (op, "binop for transpose", GB0) ;
GB_Type_code xcode, ycode, zcode ;
ASSERT (opcode != GB_FIRST_binop_code) ;
ASSERT (opcode != GB_SECOND_binop_code) ;
ASSERT (opcode != GB_PAIR_binop_code) ;
ASSERT (opcode != GB_ANY_binop_code) ;
size_t asize = Atype->size ;
size_t ssize = scalar->type->size ;
size_t zsize = op->ztype->size ;
size_t xsize = op->xtype->size ;
size_t ysize = op->ytype->size ;
GB_Type_code scalar_code = scalar->type->code ;
xcode = op->xtype->code ;
ycode = op->ytype->code ;
// typecast the scalar to the operator input
size_t ssize_cast ;
GB_Type_code scalar_code_cast ;
if (binop_bind1st)
{
ssize_cast = xsize ;
scalar_code_cast = xcode ;
}
else
{
ssize_cast = ysize ;
scalar_code_cast = ycode ;
}
GB_void swork [GB_VLA(ssize_cast)] ;
GB_void *scalarx = (GB_void *) scalar->x ;
if (scalar_code_cast != scalar_code)
{
// typecast the scalar to the operator input, in swork
GB_cast_function cast_s =
GB_cast_factory (scalar_code_cast, scalar_code) ;
cast_s (swork, scalar->x, ssize) ;
scalarx = swork ;
}
GB_Type_code acode = Atype->code ;
GxB_binary_function fop = op->binop_function ;
ASSERT (fop != NULL) ;
GB_cast_function cast_A_to_Y = GB_cast_factory (ycode, acode) ;
GB_cast_function cast_A_to_X = GB_cast_factory (xcode, acode) ;
if (binop_bind1st)
{
//------------------------------------------------------------------
// C = op(scalar,A') via the factory kernel
//------------------------------------------------------------------
#ifndef GBCOMPACT
GB_IF_FACTORY_KERNELS_ENABLED
{
if (GB_binop_builtin (op->xtype, false, Atype, false,
(GrB_BinaryOp) op, false, &opcode, &xcode, &ycode, &zcode))
{
//----------------------------------------------------------
// define the worker for the switch factory
//----------------------------------------------------------
#define GB_bind1st_tran(op,xname) \
GB (_bind1st_tran_ ## op ## xname)
#define GB_BINOP_WORKER(op,xname) \
{ \
info = GB_bind1st_tran (op, xname) (C, scalarx, A, \
Workspaces, A_slice, nworkspaces, nthreads) ; \
} \
break ;
//----------------------------------------------------------
// launch the switch factory
//----------------------------------------------------------
#define GB_NO_FIRST
#define GB_NO_SECOND
#define GB_NO_PAIR
#include "binaryop/factory/GB_binop_factory.c"
}
}
#endif
//------------------------------------------------------------------
// via the JIT or PreJIT kernel
//------------------------------------------------------------------
if (info == GrB_NO_VALUE)
{
info = GB_transpose_bind1st_jit (C, (GrB_BinaryOp) op,
scalarx, A, Workspaces, A_slice, nworkspaces, nthreads) ;
}
}
else
{
//------------------------------------------------------------------
// C = op(A',scalar) via the factory kernel
//------------------------------------------------------------------
#ifndef GBCOMPACT
GB_IF_FACTORY_KERNELS_ENABLED
{
if (GB_binop_builtin (Atype, false, op->ytype, false,
(GrB_BinaryOp) op, false, &opcode, &xcode, &ycode, &zcode))
{
//----------------------------------------------------------
// define the worker for the switch factory
//----------------------------------------------------------
#define GB_bind2nd_tran(op,xname) \
GB (_bind2nd_tran_ ## op ## xname)
#undef GB_BINOP_WORKER
#define GB_BINOP_WORKER(op,xname) \
{ \
info = GB_bind2nd_tran (op, xname) (C, A, scalarx, \
Workspaces, A_slice, nworkspaces, nthreads) ; \
} \
break ;
//----------------------------------------------------------
// launch the switch factory
//----------------------------------------------------------
#define GB_NO_FIRST
#define GB_NO_SECOND
#define GB_NO_PAIR
#include "binaryop/factory/GB_binop_factory.c"
}
}
#endif
//------------------------------------------------------------------
// via the JIT or PreJIT kernel
//------------------------------------------------------------------
if (info == GrB_NO_VALUE)
{
info = GB_transpose_bind2nd_jit (C, (GrB_BinaryOp) op,
A, scalarx, Workspaces, A_slice, nworkspaces, nthreads) ;
}
}
//----------------------------------------------------------------------
// via the generic kernel
//----------------------------------------------------------------------
if (info == GrB_NO_VALUE)
{
GB_BURBLE_MATRIX (A, "(generic transpose: %s) ", op->name) ;
if (binop_bind1st)
{
// Cx [pC] = binaryop ((xtype) scalar, (ytype) Ax [pA])
#undef GB_APPLY_OP
#define GB_APPLY_OP(pC,pA) \
{ \
/* ywork = (ytype) Ax [pA] */ \
GB_void ywork [GB_VLA(ysize)] ; \
cast_A_to_Y (ywork, Ax +(pA)*asize, asize) ; \
/* Cx [pC] = fop (xwork) ; Cx is of type op->ztype */ \
fop (Cx +((pC)*zsize), scalarx, ywork) ; \
}
#include "transpose/template/GB_transpose_template.c"
}
else
{
// Cx [pC] = binaryop ((xtype) Ax [pA], (ytype) scalar)
#undef GB_APPLY_OP
#define GB_APPLY_OP(pC,pA) \
{ \
/* xwork = (xtype) Ax [pA] */ \
GB_void xwork [GB_VLA(xsize)] ; \
cast_A_to_X (xwork, Ax +(pA)*asize, asize) ; \
/* Cx [pC] = fop (xwork) ; Cx is of type op->ztype */ \
fop (Cx +(pC*zsize), xwork, scalarx) ; \
}
#include "transpose/template/GB_transpose_template.c"
}
info = GrB_SUCCESS ;
}
}
return (info) ;
}
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