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|
//------------------------------------------------------------------------------
// GB_subassign_09_template: C(I,J)<M,repl> = scalar ; using S
//------------------------------------------------------------------------------
// SuiteSparse:GraphBLAS, Timothy A. Davis, (c) 2017-2025, All Rights Reserved.
// SPDX-License-Identifier: Apache-2.0
//------------------------------------------------------------------------------
// Method 09: C(I,J)<M,repl> = scalar ; using S
// M: present
// Mask_struct: true or false
// Mask_comp: false
// C_replace: true
// accum: NULL
// A: scalar
// S: constructed
// C: not bitmap or full
{
//--------------------------------------------------------------------------
// get inputs
//--------------------------------------------------------------------------
GB_EMPTY_TASKLIST ;
GB_GET_C ; // C must not be bitmap
GB_GET_MASK ;
GB_GET_SCALAR ;
GB_GET_S ;
//--------------------------------------------------------------------------
// Method 09: C(I,J)<M,repl> = scalar ; using S
//--------------------------------------------------------------------------
// Time: Optimal. All entries in M+S must be examined. All entries in S
// are modified: if M(i,j)=1 then S(i,j) is used to write to the
// corresponding entry in C. If M(i,j) is not present, or zero, then the
// entry in C is cleared (because of C_replace). If S(i,j) is not present,
// and M(i,j)=1, then the scalar is inserted into C. The only case that
// can be skipped is if neither S nor M is present. As a result, this
// method need not traverse all of IxJ. It can limit its traversal to the
// pattern of M+S.
// Method 09 and Method 11 are very similar.
//--------------------------------------------------------------------------
// Parallel: M+S (Methods 02, 04, 09, 10, 11, 12, 14, 16, 18, 20)
//--------------------------------------------------------------------------
if (GB_M_IS_BITMAP)
{
// all of IxJ must be examined
GB_SUBASSIGN_IXJ_SLICE ;
}
else
{
// traverse all M+S
GB_SUBASSIGN_TWO_SLICE (M, S) ;
}
//--------------------------------------------------------------------------
// phase 1: create zombies, update entries, and count pending tuples
//--------------------------------------------------------------------------
if (GB_M_IS_BITMAP)
{
//----------------------------------------------------------------------
// phase1: M 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 (iM_start, iM_end) ;
//------------------------------------------------------------------
// compute all vectors in this task
//------------------------------------------------------------------
for (int64_t j = kfirst ; j <= klast ; j++)
{
//--------------------------------------------------------------
// get S(iM_start:iM_end,j)
//--------------------------------------------------------------
GB_LOOKUP_VECTOR_S_FOR_IXJ (j, pS, pS_end, iM_start) ;
int64_t pM_start = j * Mvlen ;
//--------------------------------------------------------------
// do a 2-way merge of S(iM_start:iM_end,j) and M(ditto,j)
//--------------------------------------------------------------
for (int64_t iM = iM_start ; iM < iM_end ; iM++)
{
int64_t pM = pM_start + iM ;
bool Sfound = (pS < pS_end) && (GBi_S (Si,pS,Svlen) == iM) ;
bool mij = Mb [pM] && GB_MCAST (Mx, pM, msize) ;
if (Sfound && !mij)
{
// S (i,j) is present but M (i,j) is false
// ----[C A 0] or [X A 0]-------------------------------
// [X A 0]: action: ( X ): still a zombie
// [C A 0]: C_repl: action: ( delete ): becomes zombie
GB_C_S_LOOKUP ;
GB_DELETE_ENTRY ;
pS++ ; // go to the next entry in S(:,j)
}
else if (!Sfound && mij)
{
// S (i,j) is not present, M (i,j) is true
// ----[. A 1]------------------------------------------
// [. A 1]: action: ( insert )
task_pending++ ;
}
else if (Sfound && mij)
{
// S (i,j) present and M (i,j) is true
GB_C_S_LOOKUP ;
// ----[C A 1] or [X A 1]-------------------------------
// [C A 1]: action: ( =A ): copy A, no accum
// [X A 1]: action: ( undelete ): zombie lives
GB_noaccum_C_A_1_scalar ;
pS++ ; // go to the next entry in S(:,j)
}
}
}
GB_PHASE1_TASK_WRAPUP ;
}
}
else
{
//----------------------------------------------------------------------
// phase1: M 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 S(:,j) and M(:,j)
//--------------------------------------------------------------
int64_t j = GBh (Zh, k) ;
// GB_GET_MAPPED (pM, pM_end, pA, pA_end, Mp, j, k, Z_to_X, Mvlen);
int64_t pM = -1, pM_end = -1 ;
if (fine_task)
{
// A fine task operates on a slice of M(:,k)
pM = TaskList [taskid].pA ;
pM_end = TaskList [taskid].pA_end ;
}
else
{
// vectors are never sliced for a coarse task
int64_t kM = (Z_to_X == NULL) ? j : Z_to_X [k] ;
if (kM >= 0)
{
pM = GBp_M (Mp, kM, Mvlen) ;
pM_end = GBp_M (Mp, kM+1, Mvlen) ;
}
}
// GB_GET_MAPPED (pS, pS_end, pB, pB_end, Sp, j, k, Z_to_S, Svlen);
int64_t pS = -1, pS_end = -1 ;
if (fine_task)
{
// A fine task operates on a slice of X(:,k)
pS = TaskList [taskid].pB ;
pS_end = TaskList [taskid].pB_end ;
}
else
{
// vectors are never sliced for a coarse task
int64_t kS = (Z_to_S == NULL) ? j : Z_to_S [k] ;
if (kS >= 0)
{
pS = GBp_S (Sp, kS, Svlen) ;
pS_end = GBp_S (Sp, kS+1, Svlen) ;
}
}
//--------------------------------------------------------------
// do a 2-way merge of S(:,j) and M(:,j)
//--------------------------------------------------------------
// jC = J [j] ; or J is a colon expression
// int64_t jC = GB_IJLIST (J, j, GB_J_KIND, Jcolon) ;
// while both list S (:,j) and M (:,j) have entries
while (pS < pS_end && pM < pM_end)
{
int64_t iS = GBi_S (Si, pS, Svlen) ;
int64_t iM = GBi_M (Mi, pM, Mvlen) ;
if (iS < iM)
{
// S (i,j) is present but M (i,j) is not
// ----[C A 0] or [X A 0]-------------------------------
// [X A 0]: action: ( X ): still a zombie
// [C A 0]: C_repl: action: ( delete ): becomes zombie
GB_C_S_LOOKUP ;
GB_DELETE_ENTRY ;
pS++ ; // go to the next entry in S(:,j)
}
else if (iM < iS)
{
// S (i,j) is not present, M (i,j) is present
if (GB_MCAST (Mx, pM, msize))
{
// ----[. A 1]--------------------------------------
// [. A 1]: action: ( insert )
task_pending++ ;
}
pM++ ; // go to the next entry in M(:,j)
}
else
{
// both S (i,j) and M (i,j) present
GB_C_S_LOOKUP ;
if (GB_MCAST (Mx, pM, msize))
{
// ----[C A 1] or [X A 1]---------------------------
// [C A 1]: action: ( =A ): copy A, no accum
// [X A 1]: action: ( undelete ): zombie lives
GB_noaccum_C_A_1_scalar ;
}
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 ;
}
pS++ ; // go to the next entry in S(:,j)
pM++ ; // go to the next entry in M(:,j)
}
}
// while list S (:,j) has entries. List M (:,j) exhausted.
while (pS < pS_end)
{
// S (i,j) is present but M (i,j) is not
// ----[C A 0] or [X A 0]-----------------------------------
// [X A 0]: action: ( X ): still a zombie
// [C A 0]: C_repl: action: ( delete ): becomes zombie
GB_C_S_LOOKUP ;
GB_DELETE_ENTRY ;
pS++ ; // go to the next entry in S(:,j)
}
// while list M (:,j) has entries. List S (:,j) exhausted.
while (pM < pM_end)
{
// S (i,j) is not present, M (i,j) is present
if (GB_MCAST (Mx, pM, msize))
{
// ----[. A 1]------------------------------------------
// [. A 1]: action: ( insert )
task_pending++ ;
}
pM++ ; // go to the next entry in M(:,j)
}
}
GB_PHASE1_TASK_WRAPUP ;
}
}
//--------------------------------------------------------------------------
// phase 2: insert pending tuples
//--------------------------------------------------------------------------
GB_PENDING_CUMSUM ;
if (GB_M_IS_BITMAP)
{
//----------------------------------------------------------------------
// phase2: M 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 (iM_start, iM_end) ;
//------------------------------------------------------------------
// compute all vectors in this task
//------------------------------------------------------------------
for (int64_t j = kfirst ; j <= klast ; j++)
{
//--------------------------------------------------------------
// get S(iM_start:iM_end,j)
//--------------------------------------------------------------
GB_LOOKUP_VECTOR_S_FOR_IXJ (j, pS, pS_end, iM_start) ;
int64_t pM_start = j * Mvlen ;
//--------------------------------------------------------------
// do a 2-way merge of S(iM_start:iM_end,j) and M(ditto,j)
//--------------------------------------------------------------
// jC = J [j] ; or J is a colon expression
int64_t jC = GB_IJLIST (J, j, GB_J_KIND, Jcolon) ;
for (int64_t iM = iM_start ; iM < iM_end ; iM++)
{
int64_t pM = pM_start + iM ;
bool Sfound = (pS < pS_end) && (GBi_S (Si,pS,Svlen) == iM) ;
bool mij = Mb [pM] && GB_MCAST (Mx, pM, msize) ;
if (!Sfound && mij)
{
// S (i,j) is not present, M (i,j) is true
// ----[. A 1]------------------------------------------
// [. A 1]: action: ( insert )
int64_t iC = GB_IJLIST (I, iM, GB_I_KIND, Icolon) ;
GB_PENDING_INSERT_scalar ;
}
else if (Sfound)
{
// S (i,j) present
pS++ ; // go to the next entry in S(:,j)
}
}
}
GB_PHASE2_TASK_WRAPUP ;
}
}
else
{
//----------------------------------------------------------------------
// phase2: M 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 S(:,j) and M(:,j)
//--------------------------------------------------------------
int64_t j = GBh (Zh, k) ;
// GB_GET_MAPPED (pM, pM_end, pA, pA_end, Mp, j, k, Z_to_X, Mvlen);
int64_t pM = -1, pM_end = -1 ;
if (fine_task)
{
// A fine task operates on a slice of M(:,k)
pM = TaskList [taskid].pA ;
pM_end = TaskList [taskid].pA_end ;
}
else
{
// vectors are never sliced for a coarse task
int64_t kM = (Z_to_X == NULL) ? j : Z_to_X [k] ;
if (kM >= 0)
{
pM = GBp_M (Mp, kM, Mvlen) ;
pM_end = GBp_M (Mp, kM+1, Mvlen) ;
}
}
// GB_GET_MAPPED (pS, pS_end, pB, pB_end, Sp, j, k, Z_to_S, Svlen);
int64_t pS = -1, pS_end = -1 ;
if (fine_task)
{
// A fine task operates on a slice of X(:,k)
pS = TaskList [taskid].pB ;
pS_end = TaskList [taskid].pB_end ;
}
else
{
// vectors are never sliced for a coarse task
int64_t kS = (Z_to_S == NULL) ? j : Z_to_S [k] ;
if (kS >= 0)
{
pS = GBp_S (Sp, kS, Svlen) ;
pS_end = GBp_S (Sp, kS+1, Svlen) ;
}
}
//--------------------------------------------------------------
// do a 2-way merge of S(:,j) and M(:,j)
//--------------------------------------------------------------
// jC = J [j] ; or J is a colon expression
int64_t jC = GB_IJLIST (J, j, GB_J_KIND, Jcolon) ;
// while both list S (:,j) and M (:,j) have entries
while (pS < pS_end && pM < pM_end)
{
int64_t iS = GBi_S (Si, pS, Svlen) ;
int64_t iM = GBi_M (Mi, pM, Mvlen) ;
if (iS < iM)
{
// S (i,j) is present but M (i,j) is not
pS++ ; // go to the next entry in S(:,j)
}
else if (iM < iS)
{
// S (i,j) is not present, M (i,j) is present
if (GB_MCAST (Mx, pM, msize))
{
// ----[. A 1]--------------------------------------
// [. A 1]: action: ( insert )
int64_t iC = GB_IJLIST (I, iM, GB_I_KIND, Icolon) ;
GB_PENDING_INSERT_scalar ;
}
pM++ ; // go to the next entry in M(:,j)
}
else
{
// both S (i,j) and M (i,j) present
pS++ ; // go to the next entry in S(:,j)
pM++ ; // go to the next entry in M(:,j)
}
}
// while list M (:,j) has entries. List S (:,j) exhausted.
while (pM < pM_end)
{
// S (i,j) is not present, M (i,j) is present
if (GB_MCAST (Mx, pM, msize))
{
// ----[. A 1]------------------------------------------
// [. A 1]: action: ( insert )
int64_t iM = GBi_M (Mi, pM, Mvlen) ;
int64_t iC = GB_IJLIST (I, iM, GB_I_KIND, Icolon) ;
GB_PENDING_INSERT_scalar ;
}
pM++ ; // go to the next entry in M(:,j)
}
}
GB_PHASE2_TASK_WRAPUP ;
}
}
//--------------------------------------------------------------------------
// finalize the matrix and return result
//--------------------------------------------------------------------------
GB_SUBASSIGN_WRAPUP ;
}
|
