/*
-------------------------------------------------------
purpose -- create and return an IV object that contains
all the column ids owned by process myid.
created -- 98jun13, cca
-------------------------------------------------------
*/
IV *
FrontMtx_ownedColumnsIV (
FrontMtx *frontmtx,
int myid,
IV *ownersIV,
int msglvl,
FILE *msgFile
) {
int J, neqns, nfront, nJ, nowned, ncolJ, offset ;
int *ownedColumns, *owners, *colindJ ;
IV *ownedColumnsIV ;
/*
---------------
check the input
---------------
*/
if ( frontmtx == NULL ) {
fprintf(stderr, "\n fatal error in FrontMtx_ownedColumnsIV(%p,%d,%p)"
"\n bad input\n", frontmtx, myid, ownersIV) ;
exit(-1) ;
}
nfront = frontmtx->nfront ;
neqns = frontmtx->neqns ;
ownedColumnsIV = IV_new() ;
if ( ownersIV == NULL ) {
IV_init(ownedColumnsIV, neqns, NULL) ;
IV_ramp(ownedColumnsIV, 0, 1) ;
} else {
owners = IV_entries(ownersIV) ;
for ( J = 0, nowned = 0 ; J < nfront ; J++ ) {
if ( owners[J] == myid ) {
nJ = FrontMtx_frontSize(frontmtx, J) ;
nowned += nJ ;
}
}
if ( nowned > 0 ) {
IV_init(ownedColumnsIV, nowned, NULL) ;
ownedColumns = IV_entries(ownedColumnsIV) ;
for ( J = 0, offset = 0 ; J < nfront ; J++ ) {
if ( owners[J] == myid ) {
nJ = FrontMtx_frontSize(frontmtx, J) ;
if ( nJ > 0 ) {
FrontMtx_columnIndices(frontmtx, J, &ncolJ, &colindJ) ;
IVcopy(nJ, ownedColumns + offset, colindJ) ;
offset += nJ ;
}
}
}
}
}
return(ownedColumnsIV) ;
}
/*
--------------------------------------------------------------------
purpose -- produce a map from each row to the front that contains it
created -- 98may04, cca
--------------------------------------------------------------------
*/
IV *
FrontMtx_rowmapIV (
FrontMtx *frontmtx
) {
int ii, J, nrowJ, neqns, nfront, nJ ;
int *rowindJ, *rowmap ;
IV *rowmapIV ;
/*
--------------------------------------
get the map from rows to owning fronts
--------------------------------------
*/
neqns = FrontMtx_neqns(frontmtx) ;
nfront = FrontMtx_nfront(frontmtx) ;
rowmapIV = IV_new() ;
IV_init(rowmapIV, neqns, NULL) ;
rowmap = IV_entries(rowmapIV) ;
IVfill(neqns, rowmap, -1) ;
for ( J = 0 ; J < nfront ; J++ ) {
if ( (nJ = FrontMtx_frontSize(frontmtx, J)) > 0 ) {
FrontMtx_rowIndices(frontmtx, J, &nrowJ, &rowindJ) ;
if ( nrowJ > 0 && rowindJ != NULL ) {
for ( ii = 0 ; ii < nJ ; ii++ ) {
rowmap[rowindJ[ii]] = J ;
}
}
}
}
return(rowmapIV) ;
}
/*
-----------------------------------------
purpose -- produce a map from each column
to the front that contains it
created -- 98may04, cca
-----------------------------------------
*/
IV *
FrontMtx_colmapIV (
FrontMtx *frontmtx
) {
int ii, J, ncolJ, neqns, nfront, nJ ;
int *colindJ, *colmap ;
IV *colmapIV ;
/*
-----------------------------------------
get the map from columns to owning fronts
-----------------------------------------
*/
neqns = FrontMtx_neqns(frontmtx) ;
nfront = FrontMtx_nfront(frontmtx) ;
colmapIV = IV_new() ;
IV_init(colmapIV, neqns, NULL) ;
colmap = IV_entries(colmapIV) ;
IVfill(neqns, colmap, -1) ;
for ( J = 0 ; J < nfront ; J++ ) {
if ( (nJ = FrontMtx_frontSize(frontmtx, J)) > 0 ) {
FrontMtx_columnIndices(frontmtx, J, &ncolJ, &colindJ) ;
if ( ncolJ > 0 && colindJ != NULL ) {
for ( ii = 0 ; ii < nJ ; ii++ ) {
colmap[colindJ[ii]] = J ;
}
}
}
}
return(colmapIV) ;
}
/*
---------------------------------------------------
purpose -- move the solution from the individual
SubMtx objects into the global solution SubMtx object
created -- 98feb20
---------------------------------------------------
*/
void
FrontMtx_storeSolution (
FrontMtx *frontmtx,
int owners[],
int myid,
SubMtxManager *manager,
SubMtx *p_mtx[],
DenseMtx *solmtx,
int msglvl,
FILE *msgFile
) {
char localsol ;
SubMtx *xmtxJ ;
double *sol, *xJ ;
int inc1, inc2, irow, jrhs, J, kk,
ncolJ, neqns, nfront, nJ, nrhs, nrowInSol, nrowJ ;
int *colindJ, *colmap, *rowind ;
if ( (nrowInSol = solmtx->nrow) != (neqns = frontmtx->neqns) ) {
/*
--------------------------------------------------------------
the solution matrix is only part of the total solution matrix.
(this happens in an MPI environment where the rhs
is partitioned among the processors.)
create a map from the global row indices to the
indices local to this solution matrix.
--------------------------------------------------------------
*/
colmap = IVinit(neqns, -1) ;
rowind = solmtx->rowind ;
if ( msglvl > 1 ) {
fprintf(msgFile, "\n solmtx->rowind") ;
IVfprintf(msgFile, solmtx->nrow, rowind) ;
fflush(msgFile) ;
}
for ( irow = 0 ; irow < nrowInSol ; irow++ ) {
colmap[rowind[irow]] = irow ;
}
localsol = 'T' ;
if ( msglvl > 1 ) {
fprintf(msgFile, "\n colmap") ;
IVfprintf(msgFile, neqns, colmap) ;
fflush(msgFile) ;
}
} else {
localsol = 'F' ;
}
DenseMtx_dimensions(solmtx, &neqns, &nrhs) ;
nfront = FrontMtx_nfront(frontmtx) ;
for ( J = 0 ; J < nfront ; J++ ) {
if ( (owners == NULL || owners[J] == myid)
&& (nJ = FrontMtx_frontSize(frontmtx, J)) > 0 ) {
FrontMtx_columnIndices(frontmtx, J, &ncolJ, &colindJ) ;
xmtxJ = p_mtx[J] ;
if ( xmtxJ == NULL ) {
fprintf(stderr,
"\n fatal error in storeSolution(%d)"
"\n thread %d, xmtxJ = NULL", J, myid) ;
exit(-1) ;
}
if ( msglvl > 1 ) {
fprintf(msgFile, "\n storing solution for front %d", J) ;
SubMtx_writeForHumanEye(xmtxJ, msgFile) ;
fflush(msgFile) ;
}
if ( localsol == 'T' ) {
/*
------------------------------------------------------
map the global row indices into the local row indices
------------------------------------------------------
*/
if ( msglvl > 1 ) {
fprintf(msgFile, "\n global row indices") ;
IVfprintf(msgFile, nJ, colindJ) ;
fflush(msgFile) ;
}
for ( irow = 0 ; irow < nJ ; irow++ ) {
colindJ[irow] = colmap[colindJ[irow]] ;
}
if ( msglvl > 1 ) {
fprintf(msgFile, "\n local row indices") ;
IVfprintf(msgFile, nJ, colindJ) ;
fflush(msgFile) ;
}
}
/*
----------------------------------
store x_{J,*} into solution matrix
----------------------------------
*/
sol = DenseMtx_entries(solmtx) ;
SubMtx_denseInfo(xmtxJ, &nrowJ, &ncolJ, &inc1, &inc2, &xJ) ;
if ( FRONTMTX_IS_REAL(frontmtx) ) {
for ( jrhs = 0 ; jrhs < nrhs ; jrhs++ ) {
for ( irow = 0 ; irow < nJ ; irow++ ) {
kk = colindJ[irow] ;
sol[kk] = xJ[irow] ;
}
sol += neqns ;
xJ += nJ ;
}
} else if ( FRONTMTX_IS_COMPLEX(frontmtx) ) {
for ( jrhs = 0 ; jrhs < nrhs ; jrhs++ ) {
for ( irow = 0 ; irow < nJ ; irow++ ) {
kk = colindJ[irow] ;
sol[2*kk] = xJ[2*irow] ;
sol[2*kk+1] = xJ[2*irow+1] ;
}
sol += 2*neqns ;
xJ += 2*nJ ;
}
}
/*
fprintf(msgFile, "\n solution for front %d stored", J) ;
*/
SubMtxManager_releaseObject(manager, xmtxJ) ;
if ( localsol == 'T' ) {
/*
-----------------------------------------------------------
map the local row indices back into the global row indices
-----------------------------------------------------------
*/
for ( irow = 0 ; irow < nJ ; irow++ ) {
colindJ[irow] = rowind[colindJ[irow]] ;
}
}
}
}
if ( localsol == 'T' ) {
IVfree(colmap) ;
}
/*
fprintf(msgFile, "\n\n SOLUTION") ;
DenseMtx_writeForHumanEye(solmtx, msgFile) ;
*/
return ; }
/*
---------------------------------------
visit front J during the backward solve
created -- 98mar27, cca
---------------------------------------
*/
void
FrontMtx_backwardVisit (
FrontMtx *frontmtx,
int J,
int nrhs,
int *owners,
int myid,
SubMtxManager *mtxmanager,
SubMtxList *aggList,
SubMtx *p_mtx[],
char frontIsDone[],
IP *heads[],
SubMtx *p_agg[],
char status[],
int msglvl,
FILE *msgFile
) {
char aggDone, updDone ;
SubMtx *UJJ, *ZJ ;
int nJ ;
if ( msglvl > 1 ) {
fprintf(msgFile, "\n inside FrontMtx_backwardVisit(%d), nJ = %d",
J, FrontMtx_frontSize(frontmtx, J)) ;
fflush(msgFile) ;
}
if ( (nJ = FrontMtx_frontSize(frontmtx, J)) == 0 ) {
/*
-----------------------------------------------------
front has no eliminated rows or columns, quick return
-----------------------------------------------------
*/
if ( owners == NULL || owners[J] == myid ) {
frontIsDone[J] = 'Y' ;
}
status[J] = 'F' ;
return ;
}
if ( msglvl > 1 ) {
fprintf(msgFile, "\n heads[%d] = %p", J, heads[J]) ;
fflush(msgFile) ;
}
if ( heads[J] != NULL ) {
/*
-------------------------------------
there are internal updates to perform
-------------------------------------
*/
if ( (ZJ = p_agg[J]) == NULL ) {
/*
---------------------------
create the aggregate object
---------------------------
*/
ZJ = p_agg[J] = initBJ(frontmtx->type, J, nJ, nrhs,
mtxmanager, msglvl, msgFile) ;
}
if ( msglvl > 3 ) {
fprintf(msgFile, "\n\n ZJ = %p", ZJ) ;
SubMtx_writeForHumanEye(ZJ, msgFile) ;
fflush(msgFile) ;
}
/*
---------------------------
compute any waiting updates
---------------------------
*/
computeBackwardUpdates(frontmtx, ZJ, J, heads, frontIsDone, p_mtx,
msglvl, msgFile) ;
}
if ( heads[J] == NULL ) {
updDone = 'Y' ;
} else {
updDone = 'N' ;
}
if ( msglvl > 1 ) {
fprintf(msgFile, "\n updDone = %c", updDone) ;
fflush(msgFile) ;
}
if ( aggList != NULL && owners[J] == myid ) {
/*
-----------------------
assemble any aggregates
-----------------------
*/
aggDone = 'N' ;
if ( (ZJ = p_agg[J]) == NULL ) {
fprintf(stderr,
"\n 2. fatal error in backwardVisit(%d), ZJ = NULL", J) ;
exit(-1) ;
}
assembleAggregates(J, ZJ, aggList, mtxmanager,
msglvl, msgFile) ;
if ( SubMtxList_isCountZero(aggList, J) == 1 ) {
if ( msglvl > 3 ) {
fprintf(msgFile, "\n\n aggregate count is zero") ;
fflush(msgFile) ;
}
assembleAggregates(J, ZJ, aggList, mtxmanager,
msglvl, msgFile) ;
aggDone = 'Y' ;
}
} else {
aggDone = 'Y' ;
}
if ( msglvl > 1 ) {
fprintf(msgFile, "\n aggDone = %c", aggDone) ;
fflush(msgFile) ;
}
if ( updDone == 'Y' && aggDone == 'Y' ) {
ZJ = p_agg[J] ;
if ( owners == NULL || owners[J] == myid ) {
/*
-------------------------------------
owned front, ready for interior solve
-------------------------------------
*/
UJJ = FrontMtx_upperMtx(frontmtx, J, J) ;
if ( UJJ != NULL ) {
SubMtx_solve(UJJ, ZJ) ;
}
if ( msglvl > 1 ) {
fprintf(msgFile, "\n\n after backward solve") ;
SubMtx_writeForHumanEye(ZJ, msgFile) ;
fflush(msgFile) ;
}
/*
------------------------------------------------
move YJ (stored in BJ) into p_mtx[],
signal front as done, and set status to finished
------------------------------------------------
*/
p_agg[J] = NULL ;
p_mtx[J] = ZJ ;
frontIsDone[J] = 'Y' ;
} else if ( ZJ != NULL ) {
/*
--------------------------------------
unowned front, put into aggregate list
--------------------------------------
*/
SubMtxList_addObjectToList(aggList, ZJ, J) ;
p_agg[J] = NULL ;
}
status[J] = 'F' ;
}
if ( msglvl > 1 ) {
fprintf(msgFile, "\n status[%d] = %c", J, status[J]) ;
fflush(msgFile) ;
}
return ; }
/*
-------------------------------------------------------------
purpose -- after pivoting for a nonsymmetric factorization,
some delayed columns may belong to a process other
than its original owner. this method returns an
IV object that maps columns to owning processes.
created -- 98may22, cca
-------------------------------------------------------------
*/
IV *
FrontMtx_MPI_colmapIV (
FrontMtx *frontmtx,
IV *frontOwnersIV,
int msglvl,
FILE *msgFile,
MPI_Comm comm
) {
int buffersize, ii, iproc, J, myid, nDJ, neqns, nfront, nproc,
ncolJ, nToSend, v ;
int *buffer, *counts, *frontOwners, *inbuffer, *outbuffer,
*colindJ, *colmap, *vtxToFront ;
IV *colmapIV ;
/*
-------------------------------------------
get the process id and number of processors
-------------------------------------------
*/
MPI_Comm_rank(comm, &myid) ;
MPI_Comm_size(comm, &nproc) ;
neqns = frontmtx->neqns ;
vtxToFront = ETree_vtxToFront(frontmtx->frontETree) ;
IV_sizeAndEntries(frontOwnersIV, &nfront, &frontOwners) ;
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n inside FrontMtx_MPI_colmapIV()"
"\n myid = %d, nproc = %d, nfront = %d, neqns = %d",
myid, nproc, nfront, neqns) ;
fflush(msgFile) ;
}
/*
----------------------------------------------------------
loop through the owned fronts and store each column in an
owned front that was originally owned by another processor
----------------------------------------------------------
*/
outbuffer = IVinit(neqns, -1) ;
for ( J = nToSend = 0 ; J < nfront ; J++ ) {
if ( frontOwners[J] == myid
&& (nDJ = FrontMtx_frontSize(frontmtx, J)) > 0 ) {
FrontMtx_columnIndices(frontmtx, J, &ncolJ, &colindJ) ;
if ( msglvl > 2 ) {
fprintf(msgFile, "\n front %d owned, nDJ = %d, ncolJ = %d",
J, nDJ, ncolJ) ;
fflush(msgFile) ;
}
for ( ii = 0 ; ii < nDJ ; ii++ ) {
v = colindJ[ii] ;
if ( frontOwners[vtxToFront[v]] != myid ) {
if ( msglvl > 2 ) {
fprintf(msgFile, "\n column %d originally owned by %d",
v, frontOwners[vtxToFront[v]]) ;
fflush(msgFile) ;
}
outbuffer[nToSend++] = v ;
}
}
}
}
IVqsortUp(nToSend, outbuffer) ;
if ( msglvl > 2 ) {
fprintf(msgFile, "\n shifted vertices") ;
IVfprintf(msgFile, nToSend, outbuffer) ;
fflush(msgFile) ;
}
counts = IVinit(nproc, 0) ;
/*
--------------------------------------------
use an all-gather call to get the number of
moved columns that are owned by each process
--------------------------------------------
*/
MPI_Allgather((void *) &nToSend, 1, MPI_INT, counts, 1, MPI_INT, comm) ;
if ( msglvl > 2 ) {
fprintf(msgFile, "\n after the all-gather operation, counts") ;
IVfprintf(msgFile, nproc, counts) ;
fflush(msgFile) ;
}
buffersize = IVmax(nproc, counts, &iproc) ;
inbuffer = IVinit(buffersize, -1) ;
/*
-----------------------------------
initialize the column map IV object
-----------------------------------
*/
colmapIV = IV_new() ;
IV_init(colmapIV, neqns, NULL) ;
colmap = IV_entries(colmapIV) ;
IVgather(neqns, colmap, frontOwners, vtxToFront) ;
/*
--------------------------------------------------------------
loop over the other processes, receive vector of moved columns
--------------------------------------------------------------
*/
for ( iproc = 0 ; iproc < nproc ; iproc++ ) {
if ( counts[iproc] > 0 ) {
if ( iproc == myid ) {
/*
-------------------------------------
send buffer vector to other processes
-------------------------------------
*/
if ( msglvl > 2 ) {
fprintf(msgFile, "\n sending outbuffer to all processes") ;
IVfprintf(msgFile, nToSend, outbuffer) ;
fflush(msgFile) ;
}
MPI_Bcast(outbuffer, nToSend, MPI_INT, iproc, comm) ;
buffer = outbuffer ;
} else {
/*
-----------------------------------------
receive the vector from the other process
-----------------------------------------
*/
MPI_Bcast(inbuffer, counts[iproc], MPI_INT, iproc, comm) ;
if ( msglvl > 2 ) {
fprintf(msgFile, "\n received inbuffer from process %d",
iproc) ;
IVfprintf(msgFile, counts[iproc], inbuffer) ;
fflush(msgFile) ;
}
buffer = inbuffer ;
}
/*
-------------------------
set the column map values
-------------------------
*/
for ( ii = 0 ; ii < counts[iproc] ; ii++ ) {
v = buffer[ii] ;
colmap[v] = iproc ;
}
}
}
/*
------------------------
free the working storage
------------------------
*/
IVfree(inbuffer) ;
IVfree(outbuffer) ;
IVfree(counts) ;
return(colmapIV) ; }
/*
----------------------------------------------------------------
purpose -- to create and return an IVL object that holds the
submatrix nonzero pattern for the lower triangular factor.
NOTE: this method supercedes calling IVL_mapEntries() on
the row adjacency structure. that gave problems when
pivoting forced some fronts to have no eliminated columns.
in some cases, solve aggregates were expected when none
were forthcoming.
created -- 98aug20, cca
----------------------------------------------------------------
*/
IVL *
FrontMtx_makeLowerBlockIVL (
FrontMtx *frontmtx,
IV *rowmapIV
) {
int count, ii, J, K, nrow, nfront, nJ ;
int *rowmap, *rowind, *list, *mark ;
IVL *lowerblockIVL ;
/*
---------------
check the input
---------------
*/
if ( frontmtx == NULL || rowmapIV == NULL ) {
fprintf(stderr, "\n fatal error in FrontMtx_makeLowerBlockIVL()"
"\n bad input\n") ;
exit(-1) ;
}
nfront = FrontMtx_nfront(frontmtx) ;
rowmap = IV_entries(rowmapIV) ;
/*
-----------------------------
set up the working storage
and initialize the IVL object
-----------------------------
*/
mark = IVinit(nfront, -1) ;
list = IVinit(nfront, -1) ;
lowerblockIVL = IVL_new() ;
IVL_init1(lowerblockIVL, IVL_CHUNKED, nfront) ;
/*
-------------------
fill the IVL object
-------------------
*/
for ( J = 0 ; J < nfront ; J++ ) {
if ( (nJ = FrontMtx_frontSize(frontmtx, J)) > 0 ) {
FrontMtx_rowIndices(frontmtx, J, &nrow, &rowind) ;
if ( nrow > 0 ) {
mark[J] = J ;
count = 0 ;
list[count++] = J ;
for ( ii = nJ ; ii < nrow ; ii++ ) {
K = rowmap[rowind[ii]] ;
if ( mark[K] != J ) {
mark[K] = J ;
list[count++] = K ;
}
}
IVL_setList(lowerblockIVL, J, count, list) ;
}
}
}
/*
------------------------
free the working storage
------------------------
*/
IVfree(mark) ;
IVfree(list) ;
return(lowerblockIVL) ;
}
/*
--------------------------------------------------------------------
purpose -- to fill submtx with a submatrix of the front matrix.
the fronts that form the submatrix are found in frontidsIV.
all information in submtx is local, front #'s are from 0 to
one less than the number of fronts in the submatrix, equation
#'s are from 0 to one less than the number of rows and columns
in the submatrix. the global row and column ids for the submatrix
are stored in rowsIV and colsIV on return.
return values ---
1 -- normal return
-1 -- submtx is NULL
-2 -- frontmtx is NULL
-3 -- frontmtx is not in 2-D mode
-4 -- frontidsIV is NULL
-5 -- frontidsIV is invalid
-6 -- rowsIV is NULL
-7 -- colsIV is NULL
-8 -- unable to create front tree
-9 -- unable to create symbfacIVL
-10 -- unable to create coladjIVL
-11 -- unable to create rowadjIVL
-12 -- unable to create upperblockIVL
-13 -- unable to create lowerblockIVL
created -- 98oct17, cca
--------------------------------------------------------------------
*/
int
FrontMtx_initFromSubmatrix (
FrontMtx *submtx,
FrontMtx *frontmtx,
IV *frontidsIV,
IV *rowsIV,
IV *colsIV,
int msglvl,
FILE *msgFile
) {
ETree *etreeSub ;
int ii, J, Jsub, K, Ksub, ncol, nfront, nfrontSub, neqnSub, nJ,
nrow, offset, rc, size, vSub ;
int *bndwghts, *colind, *colmap, *cols, *frontSubIds,
*list, *nodwghts, *rowind, *rowmap, *rows ;
IV *frontsizesIVsub, *vtxIV ;
IVL *coladjIVLsub, *lowerblockIVLsub, *rowadjIVLsub,
*symbfacIVLsub, *upperblockIVLsub ;
SubMtx *mtx ;
/*
---------------
check the input
---------------
*/
if ( submtx == NULL ) {
fprintf(stderr, "\n error in FrontMtx_initFromSubmatrix()"
"\n submtx is NULL\n") ;
return(-1) ;
}
if ( frontmtx == NULL ) {
fprintf(stderr, "\n error in FrontMtx_initFromSubmatrix()"
"\n frontmtx is NULL\n") ;
return(-2) ;
}
if ( ! FRONTMTX_IS_2D_MODE(frontmtx) ) {
fprintf(stderr, "\n error in FrontMtx_initFromSubmatrix()"
"\n frontmtx mode is not 2D\n") ;
return(-3) ;
}
if ( frontidsIV == NULL ) {
fprintf(stderr, "\n error in FrontMtx_initFromSubmatrix()"
"\n frontidsIV is NULL\n") ;
return(-4) ;
}
nfront = FrontMtx_nfront(frontmtx) ;
IV_sizeAndEntries(frontidsIV, &nfrontSub, &frontSubIds) ;
if ( nfrontSub < 0 || nfrontSub > nfront ) {
fprintf(stderr, "\n error in FrontMtx_initFromSubmatrix()"
"\n invalid frontidsIV"
"\n nfrontSub = %d, nfront %d\n", nfrontSub, nfront) ;
return(-5) ;
}
for ( ii = 0 ; ii < nfrontSub ; ii++ ) {
if ( (J = frontSubIds[ii]) < 0 || J >= nfront ) {
fprintf(stderr, "\n error in FrontMtx_initFromSubmatrix()"
"\n invalid frontidsIV"
"\n frontSubIds[%d] = %d, nfront = %d\n",
ii, J, nfront) ;
return(-5) ;
}
}
if ( rowsIV == NULL ) {
fprintf(stderr, "\n error in FrontMtx_initFromSubmatrix()"
"\n rowsIV is NULL\n") ;
return(-6) ;
}
if ( colsIV == NULL ) {
fprintf(stderr, "\n error in FrontMtx_initFromSubmatrix()"
"\n colsIV is NULL\n") ;
return(-7) ;
}
/*--------------------------------------------------------------------*/
/*
-----------------------------------------------------
clear the data for the submatrix and set the
scalar values (some inherited from the global matrix)
-----------------------------------------------------
*/
FrontMtx_clearData(submtx) ;
submtx->nfront = nfrontSub ;
submtx->type = frontmtx->type ;
submtx->symmetryflag = frontmtx->symmetryflag ;
submtx->sparsityflag = frontmtx->sparsityflag ;
submtx->pivotingflag = frontmtx->pivotingflag ;
submtx->dataMode = FRONTMTX_2D_MODE ;
/*
---------------------------------------------------------------
initialize the front tree for the submatrix.
note: on return, vtxIV is filled with the vertices originally
in the submatrix, (pivoting may change this), needed to find
symbolic factorization IVL object
note: at return, the boundary weights are likely to be invalid,
since we have no way of knowing what boundary indices for a
front are really in the domain. this will be changed after we
have the symbolic factorization.
---------------------------------------------------------------
*/
etreeSub = submtx->frontETree = ETree_new() ;
vtxIV = IV_new() ;
rc = ETree_initFromSubtree(etreeSub, frontidsIV,
frontmtx->frontETree, vtxIV) ;
if ( rc != 1 ) {
fprintf(stderr, "\n error in FrontMtx_initFromSubmatrix()"
"\n unable to create submatrix's front ETree, rc = %d\n", rc) ;
return(-8) ;
}
if ( msglvl > 4 ) {
fprintf(msgFile, "\n\n submatrix ETree") ;
ETree_writeForHumanEye(etreeSub, msgFile) ;
fprintf(msgFile, "\n\n submatrix original equations") ;
IV_writeForHumanEye(vtxIV, msgFile) ;
fflush(msgFile) ;
}
/*
------------------------------------------------------
set the # of equations (perhap temporarily if pivoting
has delayed some rows and columns), and the tree.
------------------------------------------------------
*/
submtx->neqns = neqnSub = IV_size(vtxIV) ;
submtx->tree = etreeSub->tree ;
/*
-----------------------------------------------------
initialize the symbolic factorization for the subtree
-----------------------------------------------------
*/
symbfacIVLsub = submtx->symbfacIVL = IVL_new() ;
rc = IVL_initFromSubIVL(symbfacIVLsub, frontmtx->symbfacIVL,
frontidsIV, vtxIV) ;
if ( rc != 1 ) {
fprintf(stderr, "\n error in FrontMtx_initFromSubmatrix()"
"\n unable to create submatrix's symbfac, rc = %d\n", rc) ;
return(-9) ;
}
if ( msglvl > 4 ) {
fprintf(msgFile, "\n\n submatrix symbolic factorizatio") ;
IVL_writeForHumanEye(symbfacIVLsub, msgFile) ;
fflush(msgFile) ;
}
/*
---------------------------------------------
adjust the boundary weights of the front tree
---------------------------------------------
*/
nodwghts = ETree_nodwghts(etreeSub) ;
bndwghts = ETree_bndwghts(etreeSub) ;
for ( J = 0 ; J < nfrontSub ; J++ ) {
IVL_listAndSize(symbfacIVLsub, J, &size, &list) ;
bndwghts[J] = size - nodwghts[J] ;
}
if ( msglvl > 4 ) {
fprintf(msgFile, "\n\n submatrix ETree after bndweight adjustment") ;
ETree_writeForHumanEye(etreeSub, msgFile) ;
fflush(msgFile) ;
}
/*
-------------------------------------
set the front sizes for the submatrix
-------------------------------------
*/
frontsizesIVsub = submtx->frontsizesIV = IV_new() ;
IV_init(frontsizesIVsub, nfrontSub, NULL) ;
IVgather(nfrontSub, IV_entries(frontsizesIVsub),
IV_entries(frontmtx->frontsizesIV),
IV_entries(frontidsIV)) ;
neqnSub = submtx->neqns = IV_sum(frontsizesIVsub) ;
if ( msglvl > 4 ) {
fprintf(msgFile, "\n\n %d equations in submatrix", neqnSub) ;
fprintf(msgFile, "\n\n front sizes for submatrix") ;
IV_writeForHumanEye(frontsizesIVsub, msgFile) ;
fflush(msgFile) ;
}
/*
-------------------------------------------------------------------
fill rowsIV and colsIV with the row and column ids of the submatrix
-------------------------------------------------------------------
*/
IV_setSize(rowsIV, neqnSub) ;
IV_setSize(colsIV, neqnSub) ;
rows = IV_entries(rowsIV) ;
cols = IV_entries(colsIV) ;
for ( Jsub = offset = 0 ; Jsub < nfrontSub ; Jsub++ ) {
if ( (nJ = FrontMtx_frontSize(submtx, Jsub)) > 0 ) {
J = frontSubIds[Jsub] ;
FrontMtx_columnIndices(frontmtx, J, &size, &list) ;
IVcopy(nJ, cols + offset, list) ;
FrontMtx_rowIndices(frontmtx, J, &size, &list) ;
IVcopy(nJ, rows + offset, list) ;
offset += nJ ;
}
}
if ( msglvl > 4 ) {
fprintf(msgFile, "\n\n row ids for submatrix") ;
IV_writeForHumanEye(rowsIV, msgFile) ;
fprintf(msgFile, "\n\n column ids for submatrix") ;
IV_writeForHumanEye(colsIV, msgFile) ;
fflush(msgFile) ;
}
/*
----------------------------------
get the row and column adjacencies
----------------------------------
*/
if ( FRONTMTX_IS_PIVOTING(frontmtx) ) {
submtx->neqns = neqnSub ;
coladjIVLsub = submtx->coladjIVL = IVL_new() ;
rc = IVL_initFromSubIVL(coladjIVLsub, frontmtx->coladjIVL,
frontidsIV, colsIV) ;
if ( rc != 1 ) {
fprintf(stderr, "\n error in FrontMtx_initFromSubmatrix()"
"\n unable to create submatrix's coladjIVL, rc = %d\n", rc) ;
return(-10) ;
}
if ( msglvl > 4 ) {
fprintf(msgFile, "\n\n submatrix col adjacency") ;
IVL_writeForHumanEye(coladjIVLsub, msgFile) ;
fflush(msgFile) ;
}
if ( FRONTMTX_IS_NONSYMMETRIC(frontmtx) ) {
rowadjIVLsub = submtx->rowadjIVL = IVL_new() ;
rc = IVL_initFromSubIVL(rowadjIVLsub, frontmtx->rowadjIVL,
frontidsIV, rowsIV) ;
if ( rc != 1 ) {
fprintf(stderr, "\n error in FrontMtx_initFromSubmatrix()"
"\n unable to create submatrix's rowadjIVL, rc = %d\n", rc) ;
return(-11) ;
}
if ( msglvl > 4 ) {
fprintf(msgFile, "\n\n submatrix row adjacency") ;
IVL_writeForHumanEye(rowadjIVLsub, msgFile) ;
fflush(msgFile) ;
}
}
}
IV_free(vtxIV) ;
/*
----------------------------------------------
get the rowmap[] and colmap[] vectors,
needed to translate indices in the submatrices
----------------------------------------------
*/
colmap = IVinit(frontmtx->neqns, -1) ;
for ( ii = 0 ; ii < neqnSub ; ii++ ) {
colmap[cols[ii]] = ii ;
}
if ( FRONTMTX_IS_NONSYMMETRIC(frontmtx) ) {
rowmap = IVinit(frontmtx->neqns, -1) ;
for ( ii = 0 ; ii < neqnSub ; ii++ ) {
rowmap[rows[ii]] = ii ;
}
} else {
rowmap = colmap ;
}
/*
-----------------------------------------------------------
get the upper and lower block IVL objects for the submatrix
-----------------------------------------------------------
*/
upperblockIVLsub = submtx->upperblockIVL = IVL_new() ;
rc = IVL_initFromSubIVL(upperblockIVLsub, frontmtx->upperblockIVL,
frontidsIV, frontidsIV) ;
if ( rc != 1 ) {
fprintf(stderr, "\n error in FrontMtx_initFromSubmatrix()"
"\n unable to create upperblockIVL, rc = %d\n", rc) ;
return(-12) ;
}
if ( msglvl > 4 ) {
fprintf(msgFile, "\n\n upper block adjacency IVL object") ;
IVL_writeForHumanEye(upperblockIVLsub, msgFile) ;
fflush(msgFile) ;
}
if ( FRONTMTX_IS_NONSYMMETRIC(frontmtx) ) {
lowerblockIVLsub = submtx->lowerblockIVL = IVL_new() ;
rc = IVL_initFromSubIVL(lowerblockIVLsub, frontmtx->lowerblockIVL,
frontidsIV, frontidsIV) ;
if ( rc != 1 ) {
fprintf(stderr, "\n error in FrontMtx_initFromSubmatrix()"
"\n unable to create lowerblockIVL, rc = %d\n", rc) ;
return(-13) ;
}
if ( msglvl > 4 ) {
fprintf(msgFile, "\n\n lower block adjacency IVL object") ;
IVL_writeForHumanEye(lowerblockIVLsub, msgFile) ;
fflush(msgFile) ;
}
}
/*
----------------------------------------------------------------
allocate the vector and hash table(s) for the factor submatrices
----------------------------------------------------------------
*/
ALLOCATE(submtx->p_mtxDJJ, struct _SubMtx *, nfrontSub) ;
for ( J = 0 ; J < nfrontSub ; J++ ) {
submtx->p_mtxDJJ[J] = NULL ;
}
submtx->upperhash = I2Ohash_new() ;
I2Ohash_init(submtx->upperhash, nfrontSub, nfrontSub, nfrontSub) ;
if ( FRONTMTX_IS_NONSYMMETRIC(frontmtx) ) {
submtx->lowerhash = I2Ohash_new() ;
I2Ohash_init(submtx->lowerhash, nfrontSub, nfrontSub, nfrontSub) ;
}
/*
-----------------------------------------------------------------
remove the diagonal submatrices from the factor matrix
and insert into the submatrix object. note: front row and column
ids must be changed to their local values, and the row and column
indices must be mapped to local indices.
-----------------------------------------------------------------
*/
for ( Jsub = 0 ; Jsub < nfrontSub ; Jsub++ ) {
J = frontSubIds[Jsub] ;
if ( (mtx = frontmtx->p_mtxDJJ[J]) != NULL ) {
SubMtx_setIds(mtx, Jsub, Jsub) ;
SubMtx_columnIndices(mtx, &ncol, &colind) ;
IVgather(ncol, colind, colmap, colind) ;
SubMtx_rowIndices(mtx, &nrow, &rowind) ;
IVgather(nrow, rowind, rowmap, rowind) ;
submtx->p_mtxDJJ[Jsub] = mtx ;
frontmtx->p_mtxDJJ[J] = NULL ;
submtx->nentD += mtx->nent ;
}
}
/*
----------------------------------------------------------------
remove the upper triangular submatrices from the factor matrix
and insert into the submatrix object. note: front row and column
ids must be changed to their local values. if the matrix is on
the diagonal, i.e., U(J,J), its row and column indices must be
mapped to local indices.
----------------------------------------------------------------
*/
for ( Jsub = 0 ; Jsub < nfrontSub ; Jsub++ ) {
J = frontSubIds[Jsub] ;
FrontMtx_upperAdjFronts(submtx, Jsub, &size, &list) ;
for ( ii = 0 ; ii < size ; ii++ ) {
Ksub = list[ii] ;
K = frontSubIds[Ksub] ;
if ( 1 == I2Ohash_remove(frontmtx->upperhash,
J, K, (void *) &mtx) ) {
SubMtx_setIds(mtx, Jsub, Ksub) ;
if ( K == J ) {
SubMtx_columnIndices(mtx, &ncol, &colind) ;
IVgather(ncol, colind, colmap, colind) ;
SubMtx_rowIndices(mtx, &nrow, &rowind) ;
IVgather(nrow, rowind, rowmap, rowind) ;
}
I2Ohash_insert(submtx->upperhash, Jsub, Ksub, (void *) mtx) ;
submtx->nentU += mtx->nent ;
}
}
}
if ( FRONTMTX_IS_NONSYMMETRIC(frontmtx) ) {
/*
----------------------------------------------------------------
remove the lower triangular submatrices from the factor matrix
and insert into the submatrix object. note: front row and column
ids must be changed to their local values. if the matrix is on
the diagonal, i.e., L(J,J), its row and column indices must be
mapped to local indices.
----------------------------------------------------------------
*/
for ( Jsub = 0 ; Jsub < nfrontSub ; Jsub++ ) {
J = frontSubIds[Jsub] ;
FrontMtx_lowerAdjFronts(submtx, Jsub, &size, &list) ;
for ( ii = 0 ; ii < size ; ii++ ) {
Ksub = list[ii] ;
K = frontSubIds[Ksub] ;
if ( 1 == I2Ohash_remove(frontmtx->lowerhash,
K, J, (void *) &mtx) ) {
SubMtx_setIds(mtx, Ksub, Jsub) ;
if ( K == J ) {
SubMtx_columnIndices(mtx, &ncol, &colind) ;
IVgather(ncol, colind, colmap, colind) ;
SubMtx_rowIndices(mtx, &nrow, &rowind) ;
IVgather(nrow, rowind, rowmap, rowind) ;
}
I2Ohash_insert(submtx->lowerhash, Ksub, Jsub, (void *) mtx);
submtx->nentL += mtx->nent ;
}
}
}
}
/*
------------------------
free the working storage
------------------------
*/
IVfree(colmap) ;
if ( FRONTMTX_IS_NONSYMMETRIC(frontmtx) ) {
IVfree(rowmap) ;
}
return(1) ; }
/*
----------------------------------------------------------------
purpose -- for each L_{bnd{J},J} matrix, remove from hash table,
split into their L_{K,J} submatrices and insert
into the hash table.
created -- 98may04, cca
----------------------------------------------------------------
*/
void
FrontMtx_splitLowerMatrices (
FrontMtx *frontmtx,
int msglvl,
FILE *msgFile
) {
SubMtx *mtxLJ, *mtxLJJ, *mtxLKJ ;
SubMtxManager *manager ;
double *entLJ, *entLKJ ;
int count, first, ii, inc1, inc2, irow, jj, J, K, nbytes,
ncolLJ, ncolLKJ, nentLJ, nentLKJ, neqns, nfront, nJ,
nrowJ, nrowLJ, nrowLKJ, offset, v ;
int *colindLJ, *colindLKJ, *rowmap, *indicesLJ, *indicesLKJ,
*locmap, *rowindJ, *rowindLJ, *rowindLKJ, *sizesLJ,
*sizesLKJ ;
I2Ohash *lowerhash ;
/*
---------------
check the input
---------------
*/
if ( frontmtx == NULL || (msglvl > 0 && msgFile == NULL) ) {
fprintf(stderr,
"\n fatal error in FrontMtx_splitLowerMatrices(%p,%d,%p)"
"\n bad input\n", frontmtx, msglvl, msgFile) ;
spoolesFatal();
}
nfront = FrontMtx_nfront(frontmtx) ;
neqns = FrontMtx_neqns(frontmtx) ;
lowerhash = frontmtx->lowerhash ;
manager = frontmtx->manager ;
/*
--------------------------------
construct the row and local maps
--------------------------------
*/
rowmap = IVinit(neqns, -1) ;
locmap = IVinit(neqns, -1) ;
for ( J = 0 ; J < nfront ; J++ ) {
if ( (nJ = FrontMtx_frontSize(frontmtx, J)) > 0 ) {
FrontMtx_rowIndices(frontmtx, J, &nrowJ, &rowindJ) ;
if ( nrowJ > 0 && rowindJ != NULL ) {
for ( ii = 0 ; ii < nJ ; ii++ ) {
v = rowindJ[ii] ;
rowmap[v] = J ;
locmap[v] = ii ;
}
}
}
}
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n rowmap[]") ;
IVfprintf(msgFile, neqns, rowmap) ;
fprintf(msgFile, "\n\n locmap[]") ;
IVfprintf(msgFile, neqns, locmap) ;
fflush(msgFile) ;
}
/*
---------------------------------------------
move the L_{J,J} matrices into the hash table
---------------------------------------------
*/
for ( J = 0 ; J < nfront ; J++ ) {
if ( (mtxLJJ = FrontMtx_lowerMtx(frontmtx, J, J)) != NULL ) {
I2Ohash_insert(frontmtx->lowerhash, J, J, mtxLJJ) ;
}
}
/*
------------------------------------------------------------
now split the L_{bnd{J},J} matrices into L_{K,J} matrices.
note: columns of L_{bnd{J},J} are assumed to be in ascending
order with respect to the column ordering of the matrix.
------------------------------------------------------------
*/
for ( J = 0 ; J < nfront ; J++ ) {
mtxLJ = FrontMtx_lowerMtx(frontmtx, nfront, J) ;
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n ### J = %d, mtxLJ = %p", J, mtxLJ) ;
fflush(msgFile) ;
}
if ( mtxLJ != NULL ) {
if ( msglvl > 2 ) {
SubMtx_writeForHumanEye(mtxLJ, msgFile) ;
fflush(msgFile) ;
}
SubMtx_columnIndices(mtxLJ, &ncolLJ, &colindLJ) ;
SubMtx_rowIndices(mtxLJ, &nrowLJ, &rowindLJ) ;
if ( msglvl > 2 ) {
fprintf(msgFile, "\n column indices for J") ;
IVfprintf(msgFile, ncolLJ, colindLJ) ;
fprintf(msgFile, "\n row indices for LJ") ;
IVfprintf(msgFile, nrowLJ, rowindLJ) ;
fflush(msgFile) ;
}
if ( (K = rowmap[rowindLJ[0]]) == rowmap[rowindLJ[nrowLJ-1]] ) {
if ( msglvl > 2 ) {
fprintf(msgFile, "\n front %d supports only %d", J, K) ;
fflush(msgFile) ;
}
/*
-------------------------------------------------
L_{bnd{J},J} is one submatrix, bnd{J} \subseteq K
set row and column indices and change column id
-------------------------------------------------
*/
IVramp(ncolLJ, colindLJ, 0, 1) ;
for ( ii = 0 ; ii < nrowLJ ; ii++ ) {
rowindLJ[ii] = locmap[rowindLJ[ii]] ;
}
/*
mtxLJ->rowid = K ;
*/
SubMtx_setFields(mtxLJ, mtxLJ->type, mtxLJ->mode, K, J,
mtxLJ->nrow, mtxLJ->ncol, mtxLJ->nent) ;
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n ## inserting L(%d,%d) ", K, J) ;
SubMtx_writeForHumanEye(mtxLJ, msgFile) ;
fflush(msgFile) ;
}
I2Ohash_insert(lowerhash, K, J, (void *) mtxLJ) ;
} else {
/*
-----------------------------------
split L_{bnd{J},J} into submatrices
-----------------------------------
*/
nJ = FrontMtx_frontSize(frontmtx, J) ;
if ( SUBMTX_IS_DENSE_ROWS(mtxLJ) ) {
SubMtx_denseInfo(mtxLJ,
&nrowLJ, &ncolLJ, &inc1, &inc2, &entLJ) ;
} else if ( SUBMTX_IS_SPARSE_ROWS(mtxLJ) ) {
SubMtx_sparseRowsInfo(mtxLJ, &nrowLJ, &nentLJ,
&sizesLJ, &indicesLJ, &entLJ) ;
offset = 0 ;
count = sizesLJ[0] ;
}
first = 0 ;
K = rowmap[rowindLJ[0]] ;
for ( irow = 1 ; irow <= nrowLJ ; irow++ ) {
if ( msglvl > 2 ) {
fprintf(msgFile, "\n irow = %d", irow) ;
if ( irow < nrowLJ ) {
fprintf(msgFile, ", rowmap[%d] = %d",
rowindLJ[irow], rowmap[rowindLJ[irow]]);
}
fflush(msgFile) ;
}
if ( irow == nrowLJ || K != rowmap[rowindLJ[irow]] ) {
nrowLKJ = irow - first ;
if ( SUBMTX_IS_DENSE_ROWS(mtxLJ) ) {
nentLKJ = nJ*nrowLKJ ;
} else if ( SUBMTX_IS_SPARSE_ROWS(mtxLJ) ) {
if ( count == 0 ) {
goto no_entries ;
}
nentLKJ = count ;
}
nbytes = SubMtx_nbytesNeeded(mtxLJ->type, mtxLJ->mode,
nrowLKJ, nJ, nentLKJ) ;
mtxLKJ = SubMtxManager_newObjectOfSizeNbytes(manager,
nbytes) ;
SubMtx_init(mtxLKJ, mtxLJ->type, mtxLJ->mode, K, J,
nrowLKJ, nJ, nentLKJ) ;
if ( SUBMTX_IS_DENSE_ROWS(mtxLJ) ) {
SubMtx_denseInfo(mtxLKJ,
&nrowLKJ, &ncolLKJ, &inc1, &inc2, &entLKJ) ;
if ( FRONTMTX_IS_REAL(frontmtx) ) {
DVcopy(nentLKJ, entLKJ, entLJ + first*nJ) ;
} else if ( FRONTMTX_IS_COMPLEX(frontmtx) ) {
DVcopy(2*nentLKJ, entLKJ, entLJ + 2*first*nJ) ;
}
} else if ( SUBMTX_IS_SPARSE_ROWS(mtxLJ) ) {
SubMtx_sparseRowsInfo(mtxLKJ, &nrowLKJ, &nentLKJ,
&sizesLKJ, &indicesLKJ, &entLKJ) ;
IVcopy(nrowLKJ, sizesLKJ, sizesLJ + first) ;
IVcopy(nentLKJ, indicesLKJ, indicesLJ + offset) ;
if ( FRONTMTX_IS_REAL(frontmtx) ) {
DVcopy(nentLKJ, entLKJ, entLJ + offset) ;
} else if ( FRONTMTX_IS_COMPLEX(frontmtx) ) {
DVcopy(2*nentLKJ, entLKJ, entLJ + 2*offset) ;
}
count = 0 ;
offset += nentLKJ ;
}
/*
-------------------------------------
initialize the row and column indices
-------------------------------------
*/
SubMtx_rowIndices(mtxLKJ, &nrowLKJ, &rowindLKJ) ;
for ( ii = 0, jj = first ; ii < nrowLKJ ; ii++, jj++ ) {
rowindLKJ[ii] = locmap[rowindLJ[jj]] ;
}
SubMtx_columnIndices(mtxLKJ, &ncolLKJ, &colindLKJ) ;
IVramp(ncolLKJ, colindLKJ, 0, 1) ;
/*
----------------------------------
insert L_{K,J} into the hash table
----------------------------------
*/
if ( msglvl > 2 ) {
fprintf(msgFile,
"\n\n ## inserting L(%d,%d) ", K, J) ;
SubMtx_writeForHumanEye(mtxLKJ, msgFile) ;
fflush(msgFile) ;
}
I2Ohash_insert(lowerhash, K, J, (void *) mtxLKJ) ;
/*
-----------------------------------
we jump to here if there were no
entries to be stored in the matrix.
-----------------------------------
*/
no_entries :
/*
----------------------------------------------------
reset first and K to new first location and front id
----------------------------------------------------
*/
first = irow ;
if ( irow < nrowLJ ) {
K = rowmap[rowindLJ[irow]] ;
}
}
if ( irow < nrowLJ && SUBMTX_IS_SPARSE_ROWS(mtxLJ) ) {
count += sizesLJ[irow] ;
}
}
/*
--------------------------------------------
give L_{bnd{J},J} back to the matrix manager
--------------------------------------------
*/
SubMtxManager_releaseObject(manager, mtxLJ) ;
}
}
}
/*
------------------------
free the working storage
------------------------
*/
IVfree(rowmap) ;
IVfree(locmap) ;
return ; }
/*
----------------------------------------------------------------
purpose -- for each U_{J,bnd{J}} matrix, remove from hash table,
split into their U_{J,K} submatrices and insert
into the hash table.
created -- 98may04, cca
----------------------------------------------------------------
*/
void
FrontMtx_splitUpperMatrices (
FrontMtx *frontmtx,
int msglvl,
FILE *msgFile
) {
SubMtx *mtxUJ, *mtxUJJ, *mtxUJK ;
SubMtxManager *manager ;
double *entUJ, *entUJK ;
int count, first, ii, inc1, inc2, jcol, jj, J, K, nbytes,
ncolJ, ncolUJ, ncolUJK, nentUJ, nentUJK, neqns, nfront,
nJ, nrowUJ, nrowUJK, offset, v ;
int *colindJ, *colindUJ, *colindUJK, *colmap, *indicesUJ,
*indicesUJK, *locmap, *rowindUJ, *rowindUJK, *sizesUJ,
*sizesUJK ;
I2Ohash *upperhash ;
/*
---------------
check the input
---------------
*/
if ( frontmtx == NULL || (msglvl > 0 && msgFile == NULL) ) {
fprintf(stderr,
"\n fatal error in FrontMtx_splitUpperMatrices(%p,%d,%p)"
"\n bad input\n", frontmtx, msglvl, msgFile) ;
spoolesFatal();
}
nfront = FrontMtx_nfront(frontmtx) ;
neqns = FrontMtx_neqns(frontmtx) ;
upperhash = frontmtx->upperhash ;
manager = frontmtx->manager ;
/*
-----------------------------------
construct the column and local maps
-----------------------------------
*/
colmap = IVinit(neqns, -1) ;
locmap = IVinit(neqns, -1) ;
for ( J = 0 ; J < nfront ; J++ ) {
if ( (nJ = FrontMtx_frontSize(frontmtx, J)) > 0 ) {
FrontMtx_columnIndices(frontmtx, J, &ncolJ, &colindJ) ;
if ( ncolJ > 0 && colindJ != NULL ) {
for ( ii = 0 ; ii < nJ ; ii++ ) {
v = colindJ[ii] ;
colmap[v] = J ;
locmap[v] = ii ;
}
}
}
}
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n colmap[]") ;
IVfprintf(msgFile, neqns, colmap) ;
fprintf(msgFile, "\n\n locmap[]") ;
IVfprintf(msgFile, neqns, locmap) ;
fflush(msgFile) ;
}
/*
---------------------------------------------
move the U_{J,J} matrices into the hash table
---------------------------------------------
*/
for ( J = 0 ; J < nfront ; J++ ) {
if ( (mtxUJJ = FrontMtx_upperMtx(frontmtx, J, J)) != NULL ) {
I2Ohash_insert(frontmtx->upperhash, J, J, mtxUJJ) ;
}
}
/*
------------------------------------------------------------
now split the U_{J,bnd{J}} matrices into U_{J,K} matrices.
note: columns of U_{J,bnd{J}} are assumed to be in ascending
order with respect to the column ordering of the matrix.
------------------------------------------------------------
*/
for ( J = 0 ; J < nfront ; J++ ) {
mtxUJ = FrontMtx_upperMtx(frontmtx, J, nfront) ;
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n ### J = %d, mtxUJ = %p", J, mtxUJ) ;
fflush(msgFile) ;
}
if ( mtxUJ != NULL ) {
if ( msglvl > 2 ) {
SubMtx_writeForHumanEye(mtxUJ, msgFile) ;
fflush(msgFile) ;
}
SubMtx_columnIndices(mtxUJ, &ncolUJ, &colindUJ) ;
SubMtx_rowIndices(mtxUJ, &nrowUJ, &rowindUJ) ;
if ( msglvl > 2 ) {
fprintf(msgFile, "\n column indices for J") ;
IVfprintf(msgFile, ncolUJ, colindUJ) ;
fprintf(msgFile, "\n row indices for UJ") ;
IVfprintf(msgFile, nrowUJ, rowindUJ) ;
fflush(msgFile) ;
}
if ( (K = colmap[colindUJ[0]]) == colmap[colindUJ[ncolUJ-1]] ) {
if ( msglvl > 2 ) {
fprintf(msgFile, "\n front %d supports only %d", J, K) ;
fflush(msgFile) ;
}
/*
-------------------------------------------------
U_{J,bnd{J}} is one submatrix, bnd{J} \subseteq K
set row and column indices and change column id
-------------------------------------------------
*/
IVramp(nrowUJ, rowindUJ, 0, 1) ;
for ( ii = 0 ; ii < ncolUJ ; ii++ ) {
colindUJ[ii] = locmap[colindUJ[ii]] ;
}
SubMtx_setFields(mtxUJ, mtxUJ->type, mtxUJ->mode, J, K,
mtxUJ->nrow, mtxUJ->ncol, mtxUJ->nent) ;
/*
mtxUJ->colid = K ;
*/
if ( msglvl > 2 ) {
fprintf(msgFile, "\n\n ## inserting U(%d,%d) ", J, K) ;
SubMtx_writeForHumanEye(mtxUJ, msgFile) ;
fflush(msgFile) ;
}
I2Ohash_insert(upperhash, J, K, (void *) mtxUJ) ;
} else {
/*
-----------------------------------
split U_{J,bnd{J}} into submatrices
-----------------------------------
*/
nJ = FrontMtx_frontSize(frontmtx, J) ;
if ( SUBMTX_IS_DENSE_COLUMNS(mtxUJ) ) {
SubMtx_denseInfo(mtxUJ,
&nrowUJ, &ncolUJ, &inc1, &inc2, &entUJ) ;
} else if ( SUBMTX_IS_SPARSE_COLUMNS(mtxUJ) ) {
SubMtx_sparseColumnsInfo(mtxUJ, &ncolUJ, &nentUJ,
&sizesUJ, &indicesUJ, &entUJ) ;
offset = 0 ;
count = sizesUJ[0] ;
}
first = 0 ;
K = colmap[colindUJ[0]] ;
for ( jcol = 1 ; jcol <= ncolUJ ; jcol++ ) {
if ( msglvl > 2 ) {
fprintf(msgFile, "\n jcol = %d", jcol) ;
if ( jcol < ncolUJ ) {
fprintf(msgFile, ", colmap[%d] = %d",
colindUJ[jcol], colmap[colindUJ[jcol]]);
}
fflush(msgFile) ;
}
if ( jcol == ncolUJ || K != colmap[colindUJ[jcol]] ) {
ncolUJK = jcol - first ;
if ( SUBMTX_IS_DENSE_COLUMNS(mtxUJ) ) {
nentUJK = nJ*ncolUJK ;
} else if ( SUBMTX_IS_SPARSE_COLUMNS(mtxUJ) ) {
if ( count == 0 ) {
goto no_entries ;
}
nentUJK = count ;
}
nbytes = SubMtx_nbytesNeeded(mtxUJ->type, mtxUJ->mode,
nJ, ncolUJK, nentUJK) ;
if ( msglvl > 2 ) {
fprintf(msgFile,
"\n ncolUJK %d, nentUJK %d, nbytes %d",
ncolUJK, nentUJK, nbytes) ;
fflush(msgFile) ;
}
mtxUJK = SubMtxManager_newObjectOfSizeNbytes(manager,
nbytes) ;
SubMtx_init(mtxUJK, mtxUJ->type, mtxUJ->mode, J, K,
nJ, ncolUJK, nentUJK) ;
if ( SUBMTX_IS_DENSE_COLUMNS(mtxUJ) ) {
SubMtx_denseInfo(mtxUJK,
&nrowUJK, &ncolUJK, &inc1, &inc2, &entUJK) ;
if ( FRONTMTX_IS_REAL(frontmtx) ) {
DVcopy(nentUJK, entUJK, entUJ + first*nJ) ;
} else if ( FRONTMTX_IS_COMPLEX(frontmtx) ) {
DVcopy(2*nentUJK, entUJK, entUJ + 2*first*nJ) ;
}
} else if ( SUBMTX_IS_SPARSE_COLUMNS(mtxUJ) ) {
SubMtx_sparseColumnsInfo(mtxUJK, &ncolUJK, &nentUJK,
&sizesUJK, &indicesUJK, &entUJK) ;
IVcopy(ncolUJK, sizesUJK, sizesUJ + first) ;
IVcopy(nentUJK, indicesUJK, indicesUJ + offset) ;
if ( FRONTMTX_IS_REAL(frontmtx) ) {
DVcopy(nentUJK, entUJK, entUJ + offset) ;
} else if ( FRONTMTX_IS_COMPLEX(frontmtx) ) {
DVcopy(2*nentUJK, entUJK, entUJ + 2*offset) ;
}
count = 0 ;
offset += nentUJK ;
}
/*
-------------------------------------
initialize the row and column indices
-------------------------------------
*/
if ( msglvl > 2 ) {
fprintf(msgFile, "\n setting row and column indices");
fflush(msgFile) ;
}
SubMtx_rowIndices(mtxUJK, &nrowUJK, &rowindUJK) ;
IVramp(nJ, rowindUJK, 0, 1) ;
SubMtx_columnIndices(mtxUJK, &ncolUJK, &colindUJK) ;
for ( ii = 0, jj = first ; ii < ncolUJK ; ii++, jj++ ) {
colindUJK[ii] = locmap[colindUJ[jj]] ;
}
/*
----------------------------------
insert U_{J,K} into the hash table
----------------------------------
*/
if ( msglvl > 2 ) {
fprintf(msgFile,
"\n\n ## inserting U(%d,%d) ", J, K) ;
SubMtx_writeForHumanEye(mtxUJK, msgFile) ;
fflush(msgFile) ;
}
I2Ohash_insert(upperhash, J, K, (void *) mtxUJK) ;
/*
-----------------------------------
we jump to here if there were no
entries to be stored in the matrix.
-----------------------------------
*/
no_entries :
/*
----------------------------------------------------
reset first and K to new first location and front id
----------------------------------------------------
*/
first = jcol ;
if ( jcol < ncolUJ ) {
K = colmap[colindUJ[jcol]] ;
}
}
if ( jcol < ncolUJ && SUBMTX_IS_SPARSE_COLUMNS(mtxUJ) ) {
count += sizesUJ[jcol] ;
}
}
/*
--------------------------------------------
give U_{J,bnd{J}} back to the matrix manager
--------------------------------------------
*/
SubMtxManager_releaseObject(manager, mtxUJ) ;
}
}
}
/*
------------------------
free the working storage
------------------------
*/
IVfree(colmap) ;
IVfree(locmap) ;
return ; }
/*
-------------------------------------------------
purpose -- to create and return a Chv object that
holds the update matrix for front J
created -- 98may25, cca
-------------------------------------------------
*/
Chv *
FrontMtx_QR_storeUpdate (
FrontMtx *frontmtx,
int J,
A2 *frontJ,
ChvManager *chvmanager,
int msglvl,
FILE *msgFile
) {
A2 tempJ ;
Chv *chvJ ;
double *updent ;
int nbytes, ncolJ, ncolupd, nD, nent, nrowJ, nrowupd ;
int *colindJ, *updind ;
/*
-----------------------------------------------
compute the number of rows in the update matrix
-----------------------------------------------
*/
nD = FrontMtx_frontSize(frontmtx, J) ;
FrontMtx_columnIndices(frontmtx, J, &ncolJ, &colindJ) ;
nrowJ = A2_nrow(frontJ) ;
nrowupd = ((nrowJ >= ncolJ) ? ncolJ : nrowJ) - nD ;
ncolupd = ncolJ - nD ;
if ( msglvl > 3 ) {
fprintf(msgFile, "\n\n inside FrontMtx_QR_storeUpdate(%d)", J) ;
fprintf(msgFile, "\n nD %d, nrowJ %d, nrowupd %d, ncolupd %d",
nD, nrowJ, nrowupd, ncolupd) ;
fflush(msgFile) ;
}
if ( nrowupd > 0 && ncolupd > 0 ) {
if ( FRONTMTX_IS_REAL(frontmtx) ) {
nbytes = Chv_nbytesNeeded(nrowupd, 0, ncolupd - nrowupd,
SPOOLES_REAL, SPOOLES_SYMMETRIC) ;
} else if ( FRONTMTX_IS_COMPLEX(frontmtx) ) {
nbytes = Chv_nbytesNeeded(nrowupd, 0, ncolupd - nrowupd,
SPOOLES_COMPLEX, SPOOLES_HERMITIAN) ;
}
chvJ = ChvManager_newObjectOfSizeNbytes(chvmanager, nbytes) ;
if ( FRONTMTX_IS_REAL(frontmtx) ) {
Chv_init(chvJ, J, nrowupd, 0, ncolupd - nrowupd,
SPOOLES_REAL, SPOOLES_SYMMETRIC) ;
} else if ( FRONTMTX_IS_COMPLEX(frontmtx) ) {
Chv_init(chvJ, J, nrowupd, 0, ncolupd - nrowupd,
SPOOLES_COMPLEX, SPOOLES_HERMITIAN) ;
}
Chv_columnIndices(chvJ, &ncolupd, &updind) ;
IVcopy(ncolupd, updind, colindJ + nD) ;
nent = Chv_nent(chvJ) ;
updent = Chv_entries(chvJ) ;
A2_setDefaultFields(&tempJ) ;
A2_subA2(&tempJ, frontJ, nD, nrowJ - 1, nD, ncolJ - 1) ;
A2_copyEntriesToVector(&tempJ, nent, updent, A2_UPPER, A2_BY_ROWS) ;
if ( msglvl > 3 ) {
fprintf(msgFile, "\n update matrix %d", J) ;
Chv_writeForHumanEye(chvJ, msgFile) ;
fflush(msgFile) ;
}
} else {
chvJ = NULL ;
}
return(chvJ) ; }
/*
----------------------------------------------------
store the factor entries of the reduced front matrix
created -- 98may25, cca
----------------------------------------------------
*/
void
FrontMtx_QR_storeFront (
FrontMtx *frontmtx,
int J,
A2 *frontJ,
int msglvl,
FILE *msgFile
) {
A2 tempA2 ;
double fac, ifac, imag, real, rfac ;
double *entDJJ, *entUJJ, *entUJN, *row ;
int inc1, inc2, irow, jcol, ncol, ncolJ, nD, nentD, nentUJJ,
nfront, nrow, nU ;
int *colind, *colindJ, *firstlocs, *sizes ;
SubMtx *mtx ;
/*
---------------
check the input
---------------
*/
if ( frontmtx == NULL || frontJ == NULL
|| (msglvl > 0 && msgFile == NULL) ) {
fprintf(stderr, "\n fatal error in FrontMtx_QR_storeFront()"
"\n bad input\n") ;
exit(-1) ;
}
nfront = FrontMtx_nfront(frontmtx) ;
FrontMtx_columnIndices(frontmtx, J, &ncolJ, &colindJ) ;
nrow = A2_nrow(frontJ) ;
ncol = A2_ncol(frontJ) ;
A2_setDefaultFields(&tempA2) ;
nD = FrontMtx_frontSize(frontmtx, J) ;
nU = ncol - nD ;
/*
--------------------------------------
scale the rows and square the diagonal
--------------------------------------
*/
row = A2_entries(frontJ) ;
if ( A2_IS_REAL(frontJ) ) {
for ( irow = 0 ; irow < nD ; irow++ ) {
if ( row[irow] != 0.0 ) {
fac = 1./row[irow] ;
for ( jcol = irow + 1 ; jcol < ncol ; jcol++ ) {
row[jcol] *= fac ;
}
row[irow] = row[irow] * row[irow] ;
}
row += ncol ;
}
} else if ( A2_IS_COMPLEX(frontJ) ) {
for ( irow = 0 ; irow < nD ; irow++ ) {
real = row[2*irow] ; imag = row[2*irow+1] ;
if ( real != 0.0 || imag != 0.0 ) {
Zrecip(real, imag, &rfac, &ifac) ;
ZVscale(ncol - irow - 1, & row[2*irow+2], rfac, ifac) ;
row[2*irow] = real*real + imag*imag ;
row[2*irow+1] = 0.0 ;
}
row += 2*ncol ;
}
}
if ( msglvl > 3 ) {
fprintf(msgFile, "\n after scaling rows of A") ;
A2_writeForHumanEye(frontJ, msgFile) ;
fflush(msgFile) ;
}
/*
-------------------------
copy the diagonal entries
-------------------------
*/
mtx = FrontMtx_diagMtx(frontmtx, J) ;
SubMtx_diagonalInfo(mtx, &nentD, &entDJJ) ;
A2_subA2(&tempA2, frontJ, 0, nD-1, 0, nD-1) ;
A2_copyEntriesToVector(&tempA2, nentD, entDJJ,
A2_DIAGONAL, A2_BY_ROWS) ;
SubMtx_columnIndices(mtx, &ncol, &colind) ;
IVcopy(nD, colind, colindJ) ;
if ( msglvl > 3 ) {
fprintf(msgFile, "\n diagonal factor matrix") ;
SubMtx_writeForHumanEye(mtx, msgFile) ;
fflush(msgFile) ;
}
if ( (mtx = FrontMtx_upperMtx(frontmtx, J, J)) != NULL ) {
/*
------------------------
copy the U_{J,J} entries
------------------------
*/
SubMtx_denseSubcolumnsInfo(mtx, &nD, &nentUJJ,
&firstlocs, &sizes, &entUJJ) ;
A2_copyEntriesToVector(&tempA2, nentUJJ, entUJJ,
A2_STRICT_UPPER, A2_BY_COLUMNS) ;
SubMtx_columnIndices(mtx, &ncol, &colind) ;
IVcopy(nD, colind, colindJ) ;
if ( msglvl > 3 ) {
fprintf(msgFile, "\n UJJ factor matrix") ;
SubMtx_writeForHumanEye(mtx, msgFile) ;
fflush(msgFile) ;
}
}
if ( ncolJ > nD ) {
/*
-----------------------------
copy the U_{J,bnd{J}} entries
-----------------------------
*/
mtx = FrontMtx_upperMtx(frontmtx, J, nfront) ;
SubMtx_denseInfo(mtx, &nD, &nU, &inc1, &inc2, &entUJN) ;
A2_subA2(&tempA2, frontJ, 0, nD-1, nD, ncolJ-1) ;
A2_copyEntriesToVector(&tempA2, nD*nU, entUJN,
A2_ALL_ENTRIES, A2_BY_COLUMNS) ;
SubMtx_columnIndices(mtx, &ncol, &colind) ;
IVcopy(nU, colind, colindJ + nD) ;
if ( msglvl > 3 ) {
fprintf(msgFile, "\n UJN factor matrix") ;
SubMtx_writeForHumanEye(mtx, msgFile) ;
fflush(msgFile) ;
}
}
return ; }