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|
//------------------------------------------------------------------------------
// GB_subassign_10_and_18: C(I,J)<M or !M,repl> = A ; using S
//------------------------------------------------------------------------------
// SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2022, All Rights Reserved.
// SPDX-License-Identifier: Apache-2.0
//------------------------------------------------------------------------------
// Method 10: C(I,J)<M,repl> = A ; using S
// Method 18: C(I,J)<!M,repl> = A ; using S
// M: present
// Mask_comp: true or false
// C_replace: true
// accum: NULL
// A: matrix
// S: constructed
// C: not bitmap: use GB_bitmap_assign instead
// M, A: any sparsity structure.
#include "GB_subassign_methods.h"
GrB_Info GB_subassign_10_and_18
(
GrB_Matrix C,
// input:
const GrB_Index *I,
const int64_t ni,
const int64_t nI,
const int Ikind,
const int64_t Icolon [3],
const GrB_Index *J,
const int64_t nj,
const int64_t nJ,
const int Jkind,
const int64_t Jcolon [3],
const GrB_Matrix M,
const bool Mask_struct, // if true, use the only structure of M
const bool Mask_comp, // if true, !M, else use M
const GrB_Matrix A,
GB_Context Context
)
{
//--------------------------------------------------------------------------
// check inputs
//--------------------------------------------------------------------------
ASSERT (!GB_IS_BITMAP (C)) ; ASSERT (!GB_IS_FULL (C)) ;
ASSERT (!GB_aliased (C, M)) ; // NO ALIAS of C==M
ASSERT (!GB_aliased (C, A)) ; // NO ALIAS of C==A
//--------------------------------------------------------------------------
// S = C(I,J)
//--------------------------------------------------------------------------
GB_EMPTY_TASKLIST ;
GB_CLEAR_STATIC_HEADER (S, &S_header) ;
GB_OK (GB_subassign_symbolic (S, C, I, ni, J, nj, true, Context)) ;
//--------------------------------------------------------------------------
// get inputs
//--------------------------------------------------------------------------
GB_MATRIX_WAIT_IF_JUMBLED (M) ;
GB_MATRIX_WAIT_IF_JUMBLED (A) ;
GB_GET_C ; // C must not be bitmap
GB_GET_MASK ;
GB_GET_MASK_HYPER_HASH ;
GB_GET_A ;
GB_GET_S ;
GrB_BinaryOp accum = NULL ;
//--------------------------------------------------------------------------
// Method 10: C(I,J)<M,repl> = A ; using S
// Method 18: C(I,J)<!M,repl> = A ; using S
//--------------------------------------------------------------------------
// Time: Optimal. Omega (nnz(A)+nnz(S)), since all entries in S+A must be
// traversed, and the corresponding entry in M (even if not present)
// determines the action to take. M can add a log(m) factor if sparse.
//--------------------------------------------------------------------------
// Parallel: A+S (Methods 02, 04, 09, 10, 11, 12, 14, 16, 18, 20)
//--------------------------------------------------------------------------
if (A_is_bitmap)
{
// all of IxJ must be examined
GB_SUBASSIGN_IXJ_SLICE ;
}
else
{
// traverse all A+S
GB_SUBASSIGN_TWO_SLICE (A, S) ;
}
//--------------------------------------------------------------------------
// phase 1: create zombies, update entries, and count pending tuples
//--------------------------------------------------------------------------
if (A_is_bitmap)
{
//----------------------------------------------------------------------
// phase1: A is bitmap
//----------------------------------------------------------------------
#pragma omp parallel for num_threads(nthreads) schedule(dynamic,1) \
reduction(+:nzombies)
for (taskid = 0 ; taskid < ntasks ; taskid++)
{
//------------------------------------------------------------------
// get the task descriptor
//------------------------------------------------------------------
GB_GET_IXJ_TASK_DESCRIPTOR_PHASE1 (iA_start, iA_end) ;
//------------------------------------------------------------------
// compute all vectors in this task
//------------------------------------------------------------------
for (int64_t j = kfirst ; j <= klast ; j++)
{
//--------------------------------------------------------------
// get S(iA_start:iA_end,j)
//--------------------------------------------------------------
GB_LOOKUP_VECTOR_FOR_IXJ (S, iA_start) ;
int64_t pA_start = j * Avlen ;
//--------------------------------------------------------------
// get M(:,j)
//--------------------------------------------------------------
int64_t pM_start, pM_end ;
GB_LOOKUP_VECTOR (pM_start, pM_end, M, j) ;
bool mjdense = (pM_end - pM_start) == Mvlen ;
//--------------------------------------------------------------
// do a 2-way merge of S(iA_start:iA_end,j) and A(ditto,j)
//--------------------------------------------------------------
for (int64_t iA = iA_start ; iA < iA_end ; iA++)
{
int64_t pA = pA_start + iA ;
bool Sfound = (pS < pS_end) && (GBI (Si, pS, Svlen) == iA) ;
bool Afound = Ab [pA] ;
if (Sfound && !Afound)
{
// S (i,j) is present but A (i,j) is not
// ----[C . 1] or [X . 1]-------------------------------
// [C . 1]: action: ( delete ): becomes zombie
// [X . 1]: action: ( X ): still zombie
// ----[C . 0] or [X . 0]-------------------------------
// [X . 0]: action: ( X ): still a zombie
// [C . 0]: C_repl: action: ( delete ): becomes zombie
GB_C_S_LOOKUP ;
GB_DELETE_ENTRY ;
GB_NEXT (S) ;
}
else if (!Sfound && Afound)
{
// S (i,j) is not present, A (i,j) is present
GB_MIJ_BINARY_SEARCH_OR_DENSE_LOOKUP (iA) ;
if (Mask_comp) mij = !mij ;
if (mij)
{
// ----[. A 1]--------------------------------------
// [. A 1]: action: ( insert )
task_pending++ ;
}
}
else if (Sfound && Afound)
{
// both S (i,j) and A (i,j) present
GB_MIJ_BINARY_SEARCH_OR_DENSE_LOOKUP (iA) ;
if (Mask_comp) mij = !mij ;
GB_C_S_LOOKUP ;
if (mij)
{
// ----[C A 1] or [X A 1]---------------------------
// [C A 1]: action: ( =A ): A to C no accum
// [X A 1]: action: ( undelete ): zombie lives
GB_noaccum_C_A_1_matrix ;
}
else
{
// ----[C A 0] or [X A 0]---------------------------
// [X A 0]: action: ( X ): still a zombie
// [C A 0]: C_repl: action: ( delete ): now zombie
GB_DELETE_ENTRY ;
}
GB_NEXT (S) ;
}
}
}
GB_PHASE1_TASK_WRAPUP ;
}
}
else
{
//----------------------------------------------------------------------
// phase1: A is hypersparse, sparse, or full
//----------------------------------------------------------------------
#pragma omp parallel for num_threads(nthreads) schedule(dynamic,1) \
reduction(+:nzombies)
for (taskid = 0 ; taskid < ntasks ; taskid++)
{
//------------------------------------------------------------------
// get the task descriptor
//------------------------------------------------------------------
GB_GET_TASK_DESCRIPTOR_PHASE1 ;
//------------------------------------------------------------------
// compute all vectors in this task
//------------------------------------------------------------------
for (int64_t k = kfirst ; k <= klast ; k++)
{
//--------------------------------------------------------------
// get A(:,j) and S(:,j)
//--------------------------------------------------------------
int64_t j = GBH (Zh, k) ;
GB_GET_MAPPED (pA, pA_end, pA, pA_end, Ap, j, k, Z_to_X, Avlen);
GB_GET_MAPPED (pS, pS_end, pB, pB_end, Sp, j, k, Z_to_S, Svlen);
//--------------------------------------------------------------
// get M(:,j)
//--------------------------------------------------------------
int64_t pM_start, pM_end ;
GB_LOOKUP_VECTOR (pM_start, pM_end, M, j) ;
bool mjdense = (pM_end - pM_start) == Mvlen ;
//--------------------------------------------------------------
// do a 2-way merge of S(:,j) and A(:,j)
//--------------------------------------------------------------
// jC = J [j] ; or J is a colon expression
// int64_t jC = GB_ijlist (J, j, Jkind, Jcolon) ;
// while both list S (:,j) and A (:,j) have entries
while (pS < pS_end && pA < pA_end)
{
int64_t iS = GBI (Si, pS, Svlen) ;
int64_t iA = GBI (Ai, pA, Avlen) ;
if (iS < iA)
{
// S (i,j) is present but A (i,j) is not
// ----[C . 1] or [X . 1]-------------------------------
// [C . 1]: action: ( delete ): becomes zombie
// [X . 1]: action: ( X ): still zombie
// ----[C . 0] or [X . 0]-------------------------------
// [X . 0]: action: ( X ): still a zombie
// [C . 0]: C_repl: action: ( delete ): becomes zombie
GB_C_S_LOOKUP ;
GB_DELETE_ENTRY ;
GB_NEXT (S) ;
}
else if (iA < iS)
{
// S (i,j) is not present, A (i,j) is present
GB_MIJ_BINARY_SEARCH_OR_DENSE_LOOKUP (iA) ;
if (Mask_comp) mij = !mij ;
if (mij)
{
// ----[. A 1]--------------------------------------
// [. A 1]: action: ( insert )
task_pending++ ;
}
GB_NEXT (A) ;
}
else
{
// both S (i,j) and A (i,j) present
GB_MIJ_BINARY_SEARCH_OR_DENSE_LOOKUP (iA) ;
if (Mask_comp) mij = !mij ;
GB_C_S_LOOKUP ;
if (mij)
{
// ----[C A 1] or [X A 1]---------------------------
// [C A 1]: action: ( =A ): A to C no accum
// [X A 1]: action: ( undelete ): zombie lives
GB_noaccum_C_A_1_matrix ;
}
else
{
// ----[C A 0] or [X A 0]---------------------------
// [X A 0]: action: ( X ): still a zombie
// [C A 0]: C_repl: action: ( delete ): now zombie
GB_DELETE_ENTRY ;
}
GB_NEXT (S) ;
GB_NEXT (A) ;
}
}
// while list S (:,j) has entries. List A (:,j) exhausted.
while (pS < pS_end)
{
// ----[C . 1] or [X . 1]-----------------------------------
// S (i,j) is present but A (i,j) is not
// [C . 1]: action: ( delete ): becomes zombie
// [X . 1]: action: ( X ): still a zombie
GB_C_S_LOOKUP ;
GB_DELETE_ENTRY ;
GB_NEXT (S) ;
}
// while list A (:,j) has entries. List S (:,j) exhausted.
while (pA < pA_end)
{
// S (i,j) is not present, A (i,j) is present
int64_t iA = GBI (Ai, pA, Avlen) ;
GB_MIJ_BINARY_SEARCH_OR_DENSE_LOOKUP (iA) ;
if (Mask_comp) mij = !mij ;
if (mij)
{
// ----[. A 1]------------------------------------------
// [. A 1]: action: ( insert )
task_pending++ ;
}
GB_NEXT (A) ;
}
}
GB_PHASE1_TASK_WRAPUP ;
}
}
//--------------------------------------------------------------------------
// phase 2: insert pending tuples
//--------------------------------------------------------------------------
GB_PENDING_CUMSUM ;
if (A_is_bitmap)
{
//----------------------------------------------------------------------
// phase2: A is bitmap
//----------------------------------------------------------------------
#pragma omp parallel for num_threads(nthreads) schedule(dynamic,1) \
reduction(&&:pending_sorted)
for (taskid = 0 ; taskid < ntasks ; taskid++)
{
//------------------------------------------------------------------
// get the task descriptor
//------------------------------------------------------------------
GB_GET_IXJ_TASK_DESCRIPTOR_PHASE2 (iA_start, iA_end) ;
//------------------------------------------------------------------
// compute all vectors in this task
//------------------------------------------------------------------
for (int64_t j = kfirst ; j <= klast ; j++)
{
//--------------------------------------------------------------
// get S(iA_start:iA_end,j)
//--------------------------------------------------------------
GB_LOOKUP_VECTOR_FOR_IXJ (S, iA_start) ;
int64_t pA_start = j * Avlen ;
//--------------------------------------------------------------
// get M(:,j)
//--------------------------------------------------------------
int64_t pM_start, pM_end ;
GB_LOOKUP_VECTOR (pM_start, pM_end, M, j) ;
bool mjdense = (pM_end - pM_start) == Mvlen ;
//--------------------------------------------------------------
// do a 2-way merge of S(iA_start:iA_end,j) and A(ditto,j)
//--------------------------------------------------------------
// jC = J [j] ; or J is a colon expression
int64_t jC = GB_ijlist (J, j, Jkind, Jcolon) ;
for (int64_t iA = iA_start ; iA < iA_end ; iA++)
{
int64_t pA = pA_start + iA ;
bool Sfound = (pS < pS_end) && (GBI (Si, pS, Svlen) == iA) ;
bool Afound = Ab [pA] ;
if (!Sfound && Afound)
{
// S (i,j) is not present, A (i,j) is present
GB_MIJ_BINARY_SEARCH_OR_DENSE_LOOKUP (iA) ;
if (Mask_comp) mij = !mij ;
if (mij)
{
// ----[. A 1]--------------------------------------
// [. A 1]: action: ( insert )
int64_t iC = GB_ijlist (I, iA, Ikind, Icolon) ;
GB_PENDING_INSERT_aij ;
}
}
else if (Sfound)
{
// S (i,j) present
GB_NEXT (S) ;
}
}
}
GB_PHASE2_TASK_WRAPUP ;
}
}
else
{
//----------------------------------------------------------------------
// phase2: A is hypersparse, sparse, or full
//----------------------------------------------------------------------
#pragma omp parallel for num_threads(nthreads) schedule(dynamic,1) \
reduction(&&:pending_sorted)
for (taskid = 0 ; taskid < ntasks ; taskid++)
{
//------------------------------------------------------------------
// get the task descriptor
//------------------------------------------------------------------
GB_GET_TASK_DESCRIPTOR_PHASE2 ;
//------------------------------------------------------------------
// compute all vectors in this task
//------------------------------------------------------------------
for (int64_t k = kfirst ; k <= klast ; k++)
{
//--------------------------------------------------------------
// get A(:,j) and S(:,j)
//--------------------------------------------------------------
int64_t j = GBH (Zh, k) ;
GB_GET_MAPPED (pA, pA_end, pA, pA_end, Ap, j, k, Z_to_X, Avlen);
GB_GET_MAPPED (pS, pS_end, pB, pB_end, Sp, j, k, Z_to_S, Svlen);
//--------------------------------------------------------------
// get M(:,j)
//--------------------------------------------------------------
int64_t pM_start, pM_end ;
GB_LOOKUP_VECTOR (pM_start, pM_end, M, j) ;
bool mjdense = (pM_end - pM_start) == Mvlen ;
//--------------------------------------------------------------
// do a 2-way merge of S(:,j) and A(:,j)
//--------------------------------------------------------------
// jC = J [j] ; or J is a colon expression
int64_t jC = GB_ijlist (J, j, Jkind, Jcolon) ;
// while both list S (:,j) and A (:,j) have entries
while (pS < pS_end && pA < pA_end)
{
int64_t iS = GBI (Si, pS, Svlen) ;
int64_t iA = GBI (Ai, pA, Avlen) ;
if (iS < iA)
{
// S (i,j) is present but A (i,j) is not
GB_NEXT (S) ;
}
else if (iA < iS)
{
// S (i,j) is not present, A (i,j) is present
GB_MIJ_BINARY_SEARCH_OR_DENSE_LOOKUP (iA) ;
if (Mask_comp) mij = !mij ;
if (mij)
{
// ----[. A 1]--------------------------------------
// [. A 1]: action: ( insert )
int64_t iC = GB_ijlist (I, iA, Ikind, Icolon) ;
GB_PENDING_INSERT_aij ;
}
GB_NEXT (A) ;
}
else
{
// both S (i,j) and A (i,j) present
GB_NEXT (S) ;
GB_NEXT (A) ;
}
}
// while list A (:,j) has entries. List S (:,j) exhausted.
while (pA < pA_end)
{
// S (i,j) is not present, A (i,j) is present
int64_t iA = GBI (Ai, pA, Avlen) ;
GB_MIJ_BINARY_SEARCH_OR_DENSE_LOOKUP (iA) ;
if (Mask_comp) mij = !mij ;
if (mij)
{
// ----[. A 1]------------------------------------------
// [. A 1]: action: ( insert )
int64_t iC = GB_ijlist (I, iA, Ikind, Icolon) ;
GB_PENDING_INSERT_aij ;
}
GB_NEXT (A) ;
}
}
GB_PHASE2_TASK_WRAPUP ;
}
}
//--------------------------------------------------------------------------
// finalize the matrix and return result
//--------------------------------------------------------------------------
GB_SUBASSIGN_WRAPUP ;
}
|
