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|
//------------------------------------------------------------------------------
// GB_apply_op: typecast and apply a unary/binary/idxunop operator to an array
//------------------------------------------------------------------------------
// SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2022, All Rights Reserved.
// SPDX-License-Identifier: Apache-2.0
//------------------------------------------------------------------------------
// Cx = op (A)
// Cx and A->x may be aliased.
// This function is CSR/CSC agnostic. For positional ops, A is treated as if
// it is in CSC format. The caller has already modified the op if A is in CSR
// format.
// Template/GB_positional_op_ijp can return GrB_OUT_OF_MEMORY.
// Otherwise, this function only returns GrB_SUCCESS.
#include "GB_apply.h"
#include "GB_binop.h"
#include "GB_ek_slice.h"
#include "GB_unused.h"
#ifndef GBCUDA_DEV
#include "GB_unop__include.h"
#include "GB_binop__include.h"
#endif
#define GB_FREE_ALL \
{ \
GB_WERK_POP (A_ek_slicing, int64_t) ; \
}
GrB_Info GB_apply_op // apply a unary op, idxunop, or binop, Cx = op (A)
(
GB_void *Cx, // output array
const GrB_Type ctype, // type of C
const GB_iso_code C_code_iso, // C non-iso, or code to compute C iso value
const GB_Operator op, // unary/index-unary/binop to apply
const GrB_Scalar scalar, // scalar to bind to binary operator
bool binop_bind1st, // if true, C=binop(s,A), else C=binop(A,s)
bool flipij, // if true, flip i,j for user idxunop
const GrB_Matrix A, // input matrix
GB_Context Context
)
{
//--------------------------------------------------------------------------
// check inputs
//--------------------------------------------------------------------------
ASSERT (Cx != NULL) ;
ASSERT_MATRIX_OK (A, "A input for GB_apply_op", GB0) ;
ASSERT (GB_JUMBLED_OK (A)) ; // A can be jumbled
GB_WERK_DECLARE (A_ek_slicing, int64_t) ;
ASSERT (GB_IMPLIES (op != NULL, ctype == op->ztype)) ;
ASSERT_SCALAR_OK_OR_NULL (scalar, "scalar for GB_apply_op", GB0) ;
//--------------------------------------------------------------------------
// get A
//--------------------------------------------------------------------------
// A->x is not const since the operator might be applied in-place, if
// C is aliased to C.
GB_void *Ax = (GB_void *) A->x ; // A->x has type A->type
const int8_t *Ab = A->b ; // only if A is bitmap
const GrB_Type Atype = A->type ; // type of A->x
const int64_t anz = GB_nnz_held (A) ; // size of A->x and Cx
//--------------------------------------------------------------------------
// determine the maximum number of threads to use
//--------------------------------------------------------------------------
GB_GET_NTHREADS_MAX (nthreads_max, chunk, Context) ;
//--------------------------------------------------------------------------
// get the operator
//--------------------------------------------------------------------------
GB_Opcode opcode ;
bool op_is_unop = false ;
bool op_is_binop = false ;
if (op != NULL)
{
opcode = op->opcode ;
op_is_unop = GB_IS_UNARYOP_CODE (opcode) ;
op_is_binop = GB_IS_BINARYOP_CODE (opcode) ;
}
else
{
// C is iso, with no operator to apply; just call GB_iso_unop below.
ASSERT (C_code_iso == GB_ISO_1 || // C iso value is 1
C_code_iso == GB_ISO_S || // C iso value is the scalar
C_code_iso == GB_ISO_A) ; // C iso value is the iso value of A
opcode = GB_NOP_code ;
}
//--------------------------------------------------------------------------
// apply the operator
//--------------------------------------------------------------------------
if (GB_OPCODE_IS_POSITIONAL (opcode))
{
//----------------------------------------------------------------------
// built-in positional unary, index_unary, or binary operator
//----------------------------------------------------------------------
bool is64 = (op->ztype == GrB_INT64) ;
bool is32 = (op->ztype == GrB_INT32) ;
ASSERT_OP_OK (op, "positional unop/idxunop/binop: GB_apply_op", GB0) ;
// get A and C
const int64_t *restrict Ah = A->h ;
const int64_t *restrict Ap = A->p ;
const int64_t *restrict Ai = A->i ;
int64_t anvec = A->nvec ;
int64_t avlen = A->vlen ;
int64_t avdim = A->vdim ;
//----------------------------------------------------------------------
// determine number of threads to use
//----------------------------------------------------------------------
int nthreads = GB_nthreads (anz + anvec, chunk, nthreads_max) ;
int ntasks = (nthreads == 1) ? 1 : (32 * nthreads) ;
//----------------------------------------------------------------------
// Cx = positional_op (A)
//----------------------------------------------------------------------
int64_t thunk = GB_positional_offset (opcode, scalar) ;
// GB_positional_op_ijp allocates a set of tasks, which can possibly
// fail if out of memory.
if (is64)
{
//------------------------------------------------------------------
// int64 Cx = positional_op (A)
//------------------------------------------------------------------
int64_t *restrict Cz = (int64_t *) Cx ;
switch (opcode)
{
case GB_POSITIONI_unop_code : // z = position_i(A(i,j)) == i
case GB_POSITIONI1_unop_code : // z = position_i1(A(i,j)) == i+1
case GB_FIRSTI_binop_code : // z = first_i(A(i,j),y) == i
case GB_FIRSTI1_binop_code : // z = first_i1(A(i,j),y) == i+1
case GB_SECONDI_binop_code : // z = second_i(x,A(i,j)) == i
case GB_SECONDI1_binop_code : // z = second_i1(x,A(i,j)) == i+1
case GB_ROWINDEX_idxunop_code : // z = i+thunk
#define GB_APPLY(p) \
Cz [p] = (i + thunk) ;
#include "GB_positional_op_ip.c"
return (GrB_SUCCESS) ;
case GB_POSITIONJ_unop_code : // z = position_j(A(i,j)) == j
case GB_POSITIONJ1_unop_code : // z = position_j1(A(i,j)) == j+1
case GB_FIRSTJ_binop_code : // z = first_j(A(i,j),y) == j
case GB_FIRSTJ1_binop_code : // z = first_j1(A(i,j),y) == j+1
case GB_SECONDJ_binop_code : // z = second_j(x,A(i,j)) == j
case GB_SECONDJ1_binop_code : // z = second_j1(x,A(i,j)) == j+1
case GB_COLINDEX_idxunop_code : // z = j+thunk
#define GB_APPLY(p) \
Cz [p] = (j + thunk) ;
#include "GB_positional_op_ijp.c"
return (GrB_SUCCESS) ;
case GB_DIAGINDEX_idxunop_code : // z = (j-(i+thunk)
#define GB_APPLY(p) \
int64_t i = GBI (Ai, p, avlen) ; \
Cz [p] = (j - (i+thunk)) ;
#include "GB_positional_op_ijp.c"
return (GrB_SUCCESS) ;
case GB_FLIPDIAGINDEX_idxunop_code : // z = (i-(j+thunk)
#define GB_APPLY(p) \
int64_t i = GBI (Ai, p, avlen) ; \
Cz [p] = (i - (j+thunk)) ;
#include "GB_positional_op_ijp.c"
return (GrB_SUCCESS) ;
default: ;
}
}
else if (is32)
{
//------------------------------------------------------------------
// int32 Cx = positional_op (A)
//------------------------------------------------------------------
int32_t *restrict Cz = (int32_t *) Cx ;
switch (opcode)
{
case GB_POSITIONI_unop_code : // z = position_i(A(i,j)) == i
case GB_POSITIONI1_unop_code : // z = position_i1(A(i,j)) == i+1
case GB_FIRSTI_binop_code : // z = first_i(A(i,j),y) == i
case GB_FIRSTI1_binop_code : // z = first_i1(A(i,j),y) == i+1
case GB_SECONDI_binop_code : // z = second_i(x,A(i,j)) == i
case GB_SECONDI1_binop_code : // z = second_i1(x,A(i,j)) == i+1
case GB_ROWINDEX_idxunop_code : // z = i+thunk
#define GB_APPLY(p) \
Cz [p] = (int32_t) (i + thunk) ;
#include "GB_positional_op_ip.c"
return (GrB_SUCCESS) ;
case GB_POSITIONJ_unop_code : // z = position_j(A(i,j)) == j
case GB_POSITIONJ1_unop_code : // z = position_j1(A(i,j)) == j+1
case GB_FIRSTJ_binop_code : // z = first_j(A(i,j),y) == j
case GB_FIRSTJ1_binop_code : // z = first_j1(A(i,j),y) == j+1
case GB_SECONDJ_binop_code : // z = second_j(x,A(i,j)) == j
case GB_SECONDJ1_binop_code : // z = second_j1(x,A(i,j)) == j+1
case GB_COLINDEX_idxunop_code : // z = j+thunk
#define GB_APPLY(p) \
Cz [p] = (int32_t) (j + thunk) ;
#include "GB_positional_op_ijp.c"
return (GrB_SUCCESS) ;
case GB_DIAGINDEX_idxunop_code : // z = (j-(i+thunk)
#define GB_APPLY(p) \
int64_t i = GBI (Ai, p, avlen) ; \
Cz [p] = (int32_t) (j - (i+thunk)) ;
#include "GB_positional_op_ijp.c"
return (GrB_SUCCESS) ;
case GB_FLIPDIAGINDEX_idxunop_code : // z = (i-(j+thunk)
#define GB_APPLY(p) \
int64_t i = GBI (Ai, p, avlen) ; \
Cz [p] = (int32_t) (i - (j+thunk)) ;
#include "GB_positional_op_ijp.c"
return (GrB_SUCCESS) ;
default: ;
}
}
else
{
//------------------------------------------------------------------
// bool Cx = positional_op (A)
//------------------------------------------------------------------
ASSERT (op->ztype == GrB_BOOL) ;
bool *restrict Cz = (bool *) Cx ;
switch (opcode)
{
case GB_TRIL_idxunop_code : // z = (j <= (i+thunk))
#define GB_APPLY(p) \
int64_t i = GBI (Ai, p, avlen) ; \
Cz [p] = (j <= (i + thunk)) ;
#include "GB_positional_op_ijp.c"
return (GrB_SUCCESS) ;
case GB_TRIU_idxunop_code : // z = (j >= (i+thunk))
#define GB_APPLY(p) \
int64_t i = GBI (Ai, p, avlen) ; \
Cz [p] = (j >= (i + thunk)) ;
#include "GB_positional_op_ijp.c"
return (GrB_SUCCESS) ;
case GB_DIAG_idxunop_code : // z = (j == (i+thunk))
#define GB_APPLY(p) \
int64_t i = GBI (Ai, p, avlen) ; \
Cz [p] = (j == (i + thunk)) ;
#include "GB_positional_op_ijp.c"
return (GrB_SUCCESS) ;
case GB_OFFDIAG_idxunop_code : // z = (j != (i+thunk))
#define GB_APPLY(p) \
int64_t i = GBI (Ai, p, avlen) ; \
Cz [p] = (j != (i + thunk)) ;
#include "GB_positional_op_ijp.c"
return (GrB_SUCCESS) ;
case GB_COLLE_idxunop_code : // z = (j <= thunk)
#define GB_APPLY(p) \
Cz [p] = (j <= thunk) ;
#include "GB_positional_op_ijp.c"
return (GrB_SUCCESS) ;
case GB_COLGT_idxunop_code : // z = (j > thunk)
#define GB_APPLY(p) \
Cz [p] = (j > thunk) ;
#include "GB_positional_op_ijp.c"
return (GrB_SUCCESS) ;
case GB_ROWLE_idxunop_code : // z = (i <= thunk)
#define GB_APPLY(p) \
Cz [p] = (i <= thunk) ;
#include "GB_positional_op_ip.c"
return (GrB_SUCCESS) ;
case GB_ROWGT_idxunop_code : // z = (i > thunk)
#define GB_APPLY(p) \
Cz [p] = (i > thunk) ;
#include "GB_positional_op_ip.c"
return (GrB_SUCCESS) ;
default: ;
}
}
}
else if (C_code_iso != GB_NON_ISO)
{
//----------------------------------------------------------------------
// apply the unary or binary operator to the iso value
//----------------------------------------------------------------------
// if C is iso, this function takes O(1) time
GBURBLE ("(iso apply) ") ;
ASSERT_MATRIX_OK (A, "A passing to GB_iso_unop", GB0) ;
if (anz > 0)
{
// Cx [0] = unop (A), binop (scalar,A), or binop (A,scalar)
GB_iso_unop (Cx, ctype, C_code_iso, op, A, scalar) ;
}
}
else if (op_is_unop)
{
//----------------------------------------------------------------------
// apply the unary operator to all entries
//----------------------------------------------------------------------
ASSERT_UNARYOP_OK (op, "unop for GB_apply_op", GB0) ;
ASSERT (!A->iso) ;
// determine number of threads to use
int nthreads = GB_nthreads (anz, chunk, nthreads_max) ;
#ifndef GBCUDA_DEV
if (Atype == op->xtype || opcode == GB_IDENTITY_unop_code)
{
// The switch factory is used if the op is IDENTITY, or if no
// typecasting is being done. IDENTITY operator can do arbitrary
// typecasting (it is not used if no typecasting is done).
//------------------------------------------------------------------
// define the worker for the switch factory
//------------------------------------------------------------------
#define GB_unop_apply(unop,zname,aname) \
GB (_unop_apply_ ## unop ## zname ## aname)
#define GB_WORKER(unop,zname,ztype,aname,atype) \
{ \
if (GB_unop_apply (unop,zname,aname) ((ztype *) Cx, \
(const atype *) Ax, Ab, anz, nthreads) \
== GrB_SUCCESS) return (GrB_SUCCESS) ; \
} \
break ;
//------------------------------------------------------------------
// launch the switch factory
//------------------------------------------------------------------
#include "GB_unop_factory.c"
}
#endif
//----------------------------------------------------------------------
// generic worker: typecast and apply a unary operator
//----------------------------------------------------------------------
GB_BURBLE_N (anz, "(generic apply: %s) ", op->name) ;
size_t asize = Atype->size ;
size_t zsize = op->ztype->size ;
size_t xsize = op->xtype->size ;
GB_Type_code acode = Atype->code ;
GB_Type_code xcode = op->xtype->code ;
GB_cast_function cast_A_to_X = GB_cast_factory (xcode, acode) ;
GxB_unary_function fop = op->unop_function ;
int64_t p ;
#pragma omp parallel for num_threads(nthreads) schedule(static)
for (p = 0 ; p < anz ; p++)
{
if (!GBB (Ab, p)) continue ;
// xwork = (xtype) Ax [p]
GB_void xwork [GB_VLA(xsize)] ;
cast_A_to_X (xwork, Ax +(p)*asize, asize) ;
// Cx [p] = fop (xwork)
fop (Cx +(p*zsize), xwork) ;
}
}
else if (op_is_binop)
{
//----------------------------------------------------------------------
// apply a binary operator (bound to a scalar)
//----------------------------------------------------------------------
ASSERT_BINARYOP_OK (op, "standard binop for GB_apply_op", GB0) ;
ASSERT_SCALAR_OK (scalar, "scalar for GB_apply_op", 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 scode = 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 scode_cast ;
if (binop_bind1st)
{
ssize_cast = xsize ;
scode_cast = xcode ;
}
else
{
ssize_cast = ysize ;
scode_cast = ycode ;
}
GB_void swork [GB_VLA(ssize_cast)] ;
GB_void *scalarx = (GB_void *) scalar->x ;
if (scode_cast != scode)
{
// typecast the scalar to the operator input, in swork
GB_cast_function cast_s = GB_cast_factory (scode_cast, scode) ;
cast_s (swork, scalar->x, ssize) ;
scalarx = swork ;
}
// determine number of threads to use
int nthreads = GB_nthreads (anz, chunk, nthreads_max) ;
#ifndef GBCUDA_DEV
if (binop_bind1st)
{
//------------------------------------------------------------------
// z = binop (scalar,Ax)
//------------------------------------------------------------------
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(binop,xname) GB (_bind1st_ ## binop ## xname)
#define GB_BINOP_WORKER(binop,xname) \
{ \
if (GB_bind1st (binop, xname) (Cx, scalarx, Ax, \
Ab, anz, nthreads) == GrB_SUCCESS) \
return (GrB_SUCCESS) ; \
} \
break ;
//--------------------------------------------------------------
// launch the switch factory
//--------------------------------------------------------------
#define GB_NO_FIRST
#define GB_NO_SECOND
#define GB_NO_PAIR
#include "GB_binop_factory.c"
}
}
else
{
//------------------------------------------------------------------
// z = binop (Ax,scalar)
//------------------------------------------------------------------
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(binop,xname) GB (_bind2nd_ ## binop ## xname)
#undef GB_BINOP_WORKER
#define GB_BINOP_WORKER(binop,xname) \
{ \
if (GB_bind2nd (binop, xname) (Cx, Ax, scalarx, \
Ab, anz, nthreads) == GrB_SUCCESS) \
return (GrB_SUCCESS) ; \
} \
break ;
//--------------------------------------------------------------
// launch the switch factory
//--------------------------------------------------------------
#define GB_NO_FIRST
#define GB_NO_SECOND
#define GB_NO_PAIR
#include "GB_binop_factory.c"
}
}
#endif
//----------------------------------------------------------------------
// generic worker: typecast and apply a binary operator
//----------------------------------------------------------------------
GB_BURBLE_N (anz, "(generic apply: %s) ", op->name) ;
GB_Type_code acode = Atype->code ;
GxB_binary_function fop = op->binop_function ;
ASSERT (!A->iso) ;
if (binop_bind1st)
{
// Cx = binop (scalar,Ax)
GB_cast_function cast_A_to_Y = GB_cast_factory (ycode, acode) ;
int64_t p ;
#pragma omp parallel for num_threads(nthreads) schedule(static)
for (p = 0 ; p < anz ; p++)
{
if (!GBB (Ab, p)) continue ;
// ywork = (ytype) Ax [p]
GB_void ywork [GB_VLA(ysize)] ;
cast_A_to_Y (ywork, Ax +(p)*asize, asize) ;
// Cx [p] = fop (scalarx, ywork)
fop (Cx +((p)*zsize), scalarx, ywork) ;
}
}
else
{
// Cx = binop (Ax,scalar)
GB_cast_function cast_A_to_X = GB_cast_factory (xcode, acode) ;
int64_t p ;
#pragma omp parallel for num_threads(nthreads) schedule(static)
for (p = 0 ; p < anz ; p++)
{
if (!GBB (Ab, p)) continue ;
// xwork = (xtype) Ax [p]
GB_void xwork [GB_VLA(xsize)] ;
cast_A_to_X (xwork, Ax +(p)*asize, asize) ;
// Cx [p] = fop (xwork, scalarx)
fop (Cx +(p*zsize), xwork, scalarx) ;
}
}
}
else
{
//----------------------------------------------------------------------
// apply a user-defined index_unary op
//----------------------------------------------------------------------
// All valued GrB_IndexUnaryOps (GrB_VALUE*) have already been renamed
// to their corresponding binary op (GrB_VALUEEQ_FP32 became
// GrB_EQ_FP32, for example). The only remaining index unary ops are
// positional, and user-defined. Positional ops have been handled
// above, so only user-defined index unary ops are left.
// get A and C
const int64_t *restrict Ah = A->h ;
const int64_t *restrict Ap = A->p ;
const int64_t *restrict Ai = A->i ;
int64_t anvec = A->nvec ;
int64_t avlen = A->vlen ;
int64_t avdim = A->vdim ;
ASSERT (opcode == GB_USER_idxunop_code) ;
GxB_index_unary_function fop = op->idxunop_function ;
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 scode = scalar->type->code ;
GB_Type_code acode = Atype->code ;
GB_Type_code xcode = op->xtype->code ;
GB_Type_code ycode = op->ytype->code ;
GB_cast_function cast_A_to_X = GB_cast_factory (xcode, acode) ;
GB_void ywork [GB_VLA(ysize)] ;
GB_void *ythunk = (GB_void *) scalar->x ;
if (ycode != scode)
{
// typecast the scalar to the operator input, in ywork
GB_cast_function cast_s = GB_cast_factory (ycode, scode) ;
cast_s (ywork, scalar->x, ssize) ;
ythunk = ywork ;
}
#define GB_APPLY(p) \
if (!GBB (Ab, p)) continue ; \
int64_t i = GBI (Ai, p, avlen) ; \
GB_void xwork [GB_VLA(xsize)] ; \
cast_A_to_X (xwork, Ax +(p)*asize, asize) ; \
fop (Cx +(p*zsize), xwork, \
flipij ? j : i, flipij ? i : j, ythunk) ;
#include "GB_positional_op_ijp.c"
}
//--------------------------------------------------------------------------
// return result
//--------------------------------------------------------------------------
GB_FREE_ALL ;
return (GrB_SUCCESS) ;
}
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