/*
--------------------------------------------------------------------
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) ; }
/*
----------------------------------------------------
set the component weights from the compids[] vector
created -- 95oct05, cca
modified -- 95nov29, cca
----------------------------------------------------
*/
void
GPart_setCweights (
GPart *gpart
) {
Graph *g ;
int ierr, ii, last, ncomp, now, nvtx, u, usize, v, w ;
int *compids, *cweights, *list, *uadj, *vwghts ;
/*
--------------
check the data
--------------
*/
if ( gpart == NULL ) {
fprintf(stderr, "\n fatal error in GPart_setCweights(%p)"
"\n bad input\n", gpart) ;
spoolesFatal();
}
if ( (nvtx = gpart->nvtx) <= 0 || (g = gpart->g) == NULL ) {
fprintf(stderr, "\n fatal error in GPart_setCweights(%p)"
"\n bad Gpart object\n", gpart) ;
spoolesFatal();
}
/*
----------------------------------------------------------
set the component id of all non-multisector vertices to -1
----------------------------------------------------------
*/
compids = IV_entries(&gpart->compidsIV) ;
for ( v = 0 ; v < nvtx ; v++ ) {
if ( compids[v] != 0 ) {
compids[v] = -1 ;
}
}
/*
----------------------------------------------------------
compute the number of components and set the component ids
----------------------------------------------------------
*/
list = IVinit(nvtx, -1) ;
ncomp = 0 ;
for ( v = 0 ; v < nvtx ; v++ ) {
if ( compids[v] == -1 ) {
compids[v] = ++ncomp ;
now = last = 0 ;
list[now] = v ;
while ( now <= last ) {
u = list[now++] ;
Graph_adjAndSize(g, u, &usize, &uadj) ;
for ( ii = 0 ; ii < usize ; ii++ ) {
if ( (w = uadj[ii]) < nvtx && compids[w] == -1 ) {
compids[w] = ncomp ;
list[++last] = w ;
}
}
}
}
}
/*
----------------------------
set the number of components
----------------------------
*/
gpart->ncomp = ncomp ;
/*
-------------------------
set the component weights
-------------------------
*/
IV_setSize(&gpart->cweightsIV, 1 + ncomp) ;
cweights = IV_entries(&gpart->cweightsIV) ;
IVzero(1 + ncomp, cweights) ;
if ( (vwghts = gpart->g->vwghts) != NULL ) {
for ( v = 0 ; v < nvtx ; v++ ) {
cweights[compids[v]] += vwghts[v] ;
}
} else {
for ( v = 0 ; v < nvtx ; v++ ) {
cweights[compids[v]]++ ;
}
}
/*
------------------------
free the working storage
------------------------
*/
IVfree(list) ;
return ; }