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//------------------------------------------------------------------------------
// GB_iso_add: apply a binary op and check for iso result for C=A+B
//------------------------------------------------------------------------------
// SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2022, All Rights Reserved.
// SPDX-License-Identifier: Apache-2.0
//------------------------------------------------------------------------------
// Compute c = op(a,b) for two matrices A and B, and return true if C=A+B
// results in an iso matrix C. If true, the output scalar c is the iso value
// for the matrix C.
#include "GB_add.h"
#include "GB_emult.h"
bool GB_iso_add // c = op(a,b), return true if C is iso
(
// output
GB_void *restrict c, // output scalar of iso array
// input
GrB_Type ctype, // type of c
GrB_Matrix A, // input matrix
const GB_void *restrict alpha_scalar, // of type op->xtype
GrB_Matrix B, // input matrix
const GB_void *restrict beta_scalar, // of type op->ytype
GrB_BinaryOp op, // binary operator, if present
const bool is_eWiseUnion
)
{
//--------------------------------------------------------------------------
// get inputs
//--------------------------------------------------------------------------
ASSERT_MATRIX_OK (A, "A for GB_iso_add", GB0) ;
ASSERT_MATRIX_OK (B, "B for GB_iso_add", GB0) ;
ASSERT_TYPE_OK (ctype, "ctype for GB_iso_add", GB0) ;
ASSERT_BINARYOP_OK_OR_NULL (op, "op for GB_iso_add", GB0) ;
ASSERT (c != NULL) ;
//--------------------------------------------------------------------------
// special case if both A and B are full (or as-if-full)
//--------------------------------------------------------------------------
if (GB_as_if_full (A) && GB_as_if_full (B))
{
// A and B are both full (or as-if-full), and eWiseMult, eWiseAdd, and
// eWiseUnion all compute the same thing. GB_emult detects this
// condition and calls GB_add, so that GB_emult doesn't have to handle
// this case. GB_add tests the iso condition as if it were computing
// C=A.*B. The alpha_scalar and beta_scalar values are not used.
return (GB_iso_emult (c, ctype, A, B, op)) ;
}
//--------------------------------------------------------------------------
// quick return if the op is positional
//--------------------------------------------------------------------------
if (GB_OP_IS_POSITIONAL (op))
{
// C is not iso
return (false) ;
}
if (!is_eWiseUnion && (!A->iso || !B->iso))
{
// for eWiseAdd: A and B must be iso for C to be iso
return (false) ;
}
//--------------------------------------------------------------------------
// get the scalar codes and sizes for C, A, and B
//--------------------------------------------------------------------------
const size_t csize = ctype->size ;
const size_t asize = A->type->size ;
const size_t bsize = B->type->size ;
const GB_Type_code ccode = ctype->code ;
const GB_Type_code acode = A->type->code ;
const GB_Type_code bcode = B->type->code ;
// c = zero
memset (c, 0, csize) ;
//--------------------------------------------------------------------------
// handle the iso case for eWiseUnion and eWiseAdd
//--------------------------------------------------------------------------
if (is_eWiseUnion)
{
//======================================================================
// eWiseUnion:
//======================================================================
// for eWiseUnion: the type of C is always identical to op->ztype
ASSERT (op != NULL) ;
ASSERT (ctype == op->ztype) ;
// get the binary operator
const GxB_binary_function fadd = op->binop_function ;
const GB_Opcode opcode = op->opcode ;
const GrB_Type xtype = op->xtype ;
const GrB_Type ytype = op->ytype ;
const GB_Type_code xcode = xtype->code ;
const GB_Type_code ycode = ytype->code ;
const size_t xsize = xtype->size ;
const size_t ysize = ytype->size ;
if (opcode == GB_PAIR_binop_code)
{
//------------------------------------------------------------------
// C is iso, with c = 1
//------------------------------------------------------------------
GB_cast_one (c, ccode) ;
return (true) ;
}
else if (B->iso &&
(opcode == GB_SECOND_binop_code || opcode == GB_ANY_binop_code))
{
//------------------------------------------------------------------
// if b == beta: C is iso, with c = b
//------------------------------------------------------------------
// b = (ytype) Bx [0]
GB_void b [GB_VLA(ysize)] ;
GB_cast_scalar (b, ycode, B->x, bcode, bsize) ;
if (memcmp (b, beta_scalar, ysize) == 0)
{
// c = b
memcpy (c, b, ysize) ;
return (true) ;
}
}
else if (A->iso &&
(opcode == GB_FIRST_binop_code || opcode == GB_ANY_binop_code))
{
//------------------------------------------------------------------
// if a == alpha: C is iso, with c = a
//------------------------------------------------------------------
// a = (xtype) Ax [0]
GB_void a [GB_VLA(xsize)] ;
GB_cast_scalar (a, xcode, A->x, acode, asize) ;
if (memcmp (a, alpha_scalar, xsize) == 0)
{
// c = a
memcpy (c, a, xsize) ;
return (true) ;
}
}
else if (A->iso && B->iso)
{
//------------------------------------------------------------------
// C is iso if op(a,beta) == op(a,b) == op(alpha,b)
//------------------------------------------------------------------
// a = (xtype) Ax [0]
GB_void a [GB_VLA(xsize)] ;
GB_cast_scalar (a, xcode, A->x, acode, asize) ;
// b = (ytype) Bx [0]
GB_void b [GB_VLA(ysize)] ;
GB_cast_scalar (b, ycode, B->x, bcode, bsize) ;
// c = op(a,b)
fadd (c, a, b) ;
// t = op(a,beta)
GB_void t [GB_VLA(csize)] ;
fadd (t, a, beta_scalar) ;
if (memcmp (c, t, csize) != 0)
{
// op(a,b) != op(a,beta) so C is not iso
return (false) ;
}
// t = op(alpha,b)
fadd (t, alpha_scalar, b) ;
if (memcmp (c, t, csize) != 0)
{
// op(a,b) != op(alpha,b) so C is not iso
return (false) ;
}
// C is iso with c = op(a,b)
return (true) ;
}
}
else
{
//======================================================================
// eWiseAdd: both A and B must be iso
//======================================================================
//----------------------------------------------------------------------
// compare the iso values of A and B, typecasted to C
//----------------------------------------------------------------------
// a = (ctype) Ax [0]
GB_void a [GB_VLA(csize)] ;
GB_cast_scalar (a, ccode, A->x, acode, asize) ;
// b = (ctype) Bx [0]
GB_void b [GB_VLA(csize)] ;
GB_cast_scalar (b, ccode, B->x, bcode, bsize) ;
if (memcmp (a, b, csize) != 0)
{
// the iso values of A and B differ, when typecasted to C
return (false) ;
}
//----------------------------------------------------------------------
// compute the C iso value and compare with A and B
//----------------------------------------------------------------------
if (op == NULL)
{
// For GB_wait, the pattern of A and B are known to be disjoint, so
// no operator is used, and op is NULL. No typecasting is done.
ASSERT (ctype == A->type) ;
memcpy (c, a, csize) ;
return (true) ;
}
else
{
// get the binary operator
const GxB_binary_function fadd = op->binop_function ;
const GrB_Type xtype = op->xtype ;
const GrB_Type ytype = op->ytype ;
const GrB_Type ztype = op->ztype ;
const GB_Type_code xcode = xtype->code ;
const GB_Type_code ycode = ytype->code ;
const GB_Type_code zcode = ztype->code ;
const size_t xsize = xtype->size ;
const size_t ysize = ytype->size ;
const size_t zsize = ztype->size ;
// x = (xtype) Ax [0]
GB_void x [GB_VLA(xsize)] ;
GB_cast_scalar (x, xcode, A->x, acode, asize) ;
// y = (ytype) Bx [0]
GB_void y [GB_VLA(ysize)] ;
GB_cast_scalar (y, ycode, B->x, bcode, bsize) ;
// z = op (x,y)
GB_void z [GB_VLA(zsize)] ;
fadd (z, x, y) ;
// c = (ctype) z
GB_cast_scalar (c, ccode, z, zcode, zsize) ;
if (memcmp (c, a, csize) == 0)
{
// the iso values of C and A match
return (true) ;
}
}
}
// if the tests above fall through, C is not iso
return (false) ;
}
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