/*
----------------------------------------------
purpose -- initialize an aggregate SubMtx object
created -- 98mar27, cca
----------------------------------------------
*/
static SubMtx *
initBJ (
int type,
int J,
int nJ,
int nrhs,
SubMtxManager *mtxmanager,
int msglvl,
FILE *msgFile
) {
SubMtx *BJ ;
double *entries ;
int inc1, inc2, nbytes ;
/*
------------------------------------------
B_J not yet allocated (must not be owned),
create and zero the entries
------------------------------------------
*/
nbytes = SubMtx_nbytesNeeded(type, SUBMTX_DENSE_COLUMNS,
nJ, nrhs, nJ*nrhs);
BJ = SubMtxManager_newObjectOfSizeNbytes(mtxmanager, nbytes) ;
if ( BJ == NULL ) {
fprintf(stderr,
"\n 1. fatal error in forwardVisit(%d), BJ = NULL", J) ;
exit(-1) ;
}
SubMtx_init(BJ, type, SUBMTX_DENSE_COLUMNS, J, 0, nJ, nrhs, nJ*nrhs) ;
SubMtx_denseInfo(BJ, &nJ, &nrhs, &inc1, &inc2, &entries) ;
if ( type == SPOOLES_REAL ) {
DVzero(nJ*nrhs, entries) ;
} else if ( type == SPOOLES_COMPLEX ) {
DVzero(2*nJ*nrhs, entries) ;
}
return(BJ) ; }
/*
----------------------------------------------------------------
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 ; }
/*--------------------------------------------------------------------*/
int
main ( int argc, char *argv[] )
/*
-----------------------------
test the SubMtx_solve() method.
created -- 98apr15, cca
-----------------------------
*/
{
SubMtx *mtxA, *mtxB, *mtxX ;
double idot, rdot, t1, t2 ;
double *entB, *entX ;
Drand *drand ;
FILE *msgFile ;
int inc1, inc2, mode, msglvl, ncolA, nentA, nrowA,
ncolB, nrowB, ncolX, nrowX, seed, type ;
if ( argc != 9 ) {
fprintf(stdout,
"\n\n usage : %s msglvl msgFile type mode nrowA nentA ncolB seed"
"\n msglvl -- message level"
"\n msgFile -- message file"
"\n type -- type of matrix A"
"\n 1 -- real"
"\n 2 -- complex"
"\n mode -- mode of matrix A"
"\n 2 -- sparse stored by rows"
"\n 3 -- sparse stored by columns"
"\n 5 -- sparse stored by subrows"
"\n 6 -- sparse stored by subcolumns"
"\n 7 -- diagonal"
"\n 8 -- block diagonal symmetric"
"\n 9 -- block diagonal hermitian"
"\n nrowA -- # of rows in matrix A"
"\n nentA -- # of entries in matrix A"
"\n ncolB -- # of columns in matrix B"
"\n seed -- random number seed"
"\n", argv[0]) ;
return(0) ;
}
if ( (msglvl = atoi(argv[1])) < 0 ) {
fprintf(stderr, "\n message level must be positive\n") ;
spoolesFatal();
}
if ( strcmp(argv[2], "stdout") == 0 ) {
msgFile = stdout ;
} else if ( (msgFile = fopen(argv[2], "a")) == NULL ) {
fprintf(stderr, "\n unable to open file %s\n", argv[2]) ;
return(-1) ;
}
type = atoi(argv[3]) ;
mode = atoi(argv[4]) ;
nrowA = atoi(argv[5]) ;
nentA = atoi(argv[6]) ;
ncolB = atoi(argv[7]) ;
seed = atoi(argv[8]) ;
fprintf(msgFile, "\n %% %s:"
"\n %% msglvl = %d"
"\n %% msgFile = %s"
"\n %% type = %d"
"\n %% mode = %d"
"\n %% nrowA = %d"
"\n %% nentA = %d"
"\n %% ncolB = %d"
"\n %% seed = %d",
argv[0], msglvl, argv[2], type, mode,
nrowA, nentA, ncolB, seed) ;
ncolA = nrowA ;
nrowB = nrowA ;
nrowX = nrowA ;
ncolX = ncolB ;
/*
-----------------------------
check for errors in the input
-----------------------------
*/
if ( nrowA <= 0 || nentA <= 0 || ncolB <= 0 ) {
fprintf(stderr, "\n invalid input\n") ;
spoolesFatal();
}
switch ( type ) {
case SPOOLES_REAL :
switch ( mode ) {
case SUBMTX_DENSE_SUBROWS :
case SUBMTX_SPARSE_ROWS :
case SUBMTX_DENSE_SUBCOLUMNS :
case SUBMTX_SPARSE_COLUMNS :
case SUBMTX_DIAGONAL :
case SUBMTX_BLOCK_DIAGONAL_SYM :
break ;
default :
fprintf(stderr, "\n invalid mode %d\n", mode) ;
spoolesFatal();
}
break ;
case SPOOLES_COMPLEX :
switch ( mode ) {
case SUBMTX_DENSE_SUBROWS :
case SUBMTX_SPARSE_ROWS :
case SUBMTX_DENSE_SUBCOLUMNS :
case SUBMTX_SPARSE_COLUMNS :
case SUBMTX_DIAGONAL :
case SUBMTX_BLOCK_DIAGONAL_SYM :
case SUBMTX_BLOCK_DIAGONAL_HERM :
break ;
default :
fprintf(stderr, "\n invalid mode %d\n", mode) ;
spoolesFatal();
}
break ;
default :
fprintf(stderr, "\n invalid type %d\n", type) ;
spoolesFatal();
break ;
}
/*
--------------------------------------
initialize the random number generator
--------------------------------------
*/
drand = Drand_new() ;
Drand_init(drand) ;
Drand_setSeed(drand, seed) ;
Drand_setNormal(drand, 0.0, 1.0) ;
/*
------------------------------
initialize the X SubMtx object
------------------------------
*/
MARKTIME(t1) ;
mtxX = SubMtx_new() ;
SubMtx_initRandom(mtxX, type, SUBMTX_DENSE_COLUMNS, 0, 0,
nrowX, ncolX, nrowX*ncolX, ++seed) ;
SubMtx_denseInfo(mtxX, &nrowX, &ncolX, &inc1, &inc2, &entX) ;
MARKTIME(t2) ;
fprintf(msgFile, "\n %% CPU : %.3f to initialize X SubMtx object",
t2 - t1) ;
if ( msglvl > 1 ) {
fprintf(msgFile, "\n\n %% X SubMtx object") ;
fprintf(msgFile, "\n X = zeros(%d,%d) ;", nrowX, ncolX) ;
SubMtx_writeForMatlab(mtxX, "X", msgFile) ;
fflush(msgFile) ;
}
/*
------------------------------
initialize the B SubMtx object
------------------------------
*/
MARKTIME(t1) ;
mtxB = SubMtx_new() ;
SubMtx_init(mtxB, type,
SUBMTX_DENSE_COLUMNS, 0, 0, nrowB, ncolB, nrowB*ncolB) ;
SubMtx_denseInfo(mtxB, &nrowB, &ncolB, &inc1, &inc2, &entB) ;
switch ( mode ) {
case SUBMTX_DENSE_SUBROWS :
case SUBMTX_SPARSE_ROWS :
case SUBMTX_DENSE_SUBCOLUMNS :
case SUBMTX_SPARSE_COLUMNS :
if ( SUBMTX_IS_REAL(mtxX) ) {
DVcopy(nrowB*ncolB, entB, entX) ;
} else if ( SUBMTX_IS_COMPLEX(mtxX) ) {
ZVcopy(nrowB*ncolB, entB, entX) ;
}
break ;
default :
if ( SUBMTX_IS_REAL(mtxX) ) {
DVzero(nrowB*ncolB, entB) ;
} else if ( SUBMTX_IS_COMPLEX(mtxX) ) {
DVzero(2*nrowB*ncolB, entB) ;
}
break ;
}
MARKTIME(t2) ;
fprintf(msgFile, "\n %% CPU : %.3f to initialize B SubMtx object",
t2 - t1) ;
if ( msglvl > 1 ) {
fprintf(msgFile, "\n\n %% B SubMtx object") ;
fprintf(msgFile, "\n B = zeros(%d,%d) ;", nrowB, ncolB) ;
SubMtx_writeForMatlab(mtxB, "B", msgFile) ;
fflush(msgFile) ;
}
/*
-------------------------------------
initialize the A matrix SubMtx object
-------------------------------------
*/
seed++ ;
mtxA = SubMtx_new() ;
switch ( mode ) {
case SUBMTX_DENSE_SUBROWS :
case SUBMTX_SPARSE_ROWS :
SubMtx_initRandomLowerTriangle(mtxA, type, mode, 0, 0,
nrowA, ncolA, nentA, seed, 1) ;
break ;
case SUBMTX_DENSE_SUBCOLUMNS :
case SUBMTX_SPARSE_COLUMNS :
SubMtx_initRandomUpperTriangle(mtxA, type, mode, 0, 0,
nrowA, ncolA, nentA, seed, 1) ;
break ;
case SUBMTX_DIAGONAL :
case SUBMTX_BLOCK_DIAGONAL_SYM :
case SUBMTX_BLOCK_DIAGONAL_HERM :
SubMtx_initRandom(mtxA, type, mode, 0, 0,
nrowA, ncolA, nentA, seed) ;
break ;
default :
fprintf(stderr, "\n fatal error in test_solve"
"\n invalid mode = %d", mode) ;
spoolesFatal();
}
if ( msglvl > 1 ) {
fprintf(msgFile, "\n\n %% A SubMtx object") ;
fprintf(msgFile, "\n A = zeros(%d,%d) ;", nrowA, ncolA) ;
SubMtx_writeForMatlab(mtxA, "A", msgFile) ;
fflush(msgFile) ;
}
/*
--------------------------------------------------------
compute B = A * X (for diagonal and block diagonal)
or B = (I + A) * X (for lower and upper triangular)
--------------------------------------------------------
*/
if ( SUBMTX_IS_REAL(mtxA) ) {
DV *colDV, *rowDV ;
double value, *colX, *rowA, *pBij, *pXij ;
int irowA, jcolX ;
colDV = DV_new() ;
DV_init(colDV, nrowA, NULL) ;
colX = DV_entries(colDV) ;
rowDV = DV_new() ;
DV_init(rowDV, nrowA, NULL) ;
rowA = DV_entries(rowDV) ;
for ( jcolX = 0 ; jcolX < ncolB ; jcolX++ ) {
SubMtx_fillColumnDV(mtxX, jcolX, colDV) ;
for ( irowA = 0 ; irowA < nrowA ; irowA++ ) {
SubMtx_fillRowDV(mtxA, irowA, rowDV) ;
SubMtx_locationOfRealEntry(mtxX, irowA, jcolX, &pXij) ;
SubMtx_locationOfRealEntry(mtxB, irowA, jcolX, &pBij) ;
value = DVdot(nrowA, rowA, colX) ;
switch ( mode ) {
case SUBMTX_DENSE_SUBROWS :
case SUBMTX_SPARSE_ROWS :
case SUBMTX_DENSE_SUBCOLUMNS :
case SUBMTX_SPARSE_COLUMNS :
*pBij = *pXij + value ;
break ;
case SUBMTX_DIAGONAL :
case SUBMTX_BLOCK_DIAGONAL_SYM :
*pBij = value ;
break ;
}
}
}
DV_free(colDV) ;
DV_free(rowDV) ;
} else if ( SUBMTX_IS_COMPLEX(mtxA) ) {
ZV *colZV, *rowZV ;
double *colX, *rowA, *pBIij, *pBRij, *pXIij, *pXRij ;
int irowA, jcolX ;
colZV = ZV_new() ;
ZV_init(colZV, nrowA, NULL) ;
colX = ZV_entries(colZV) ;
rowZV = ZV_new() ;
ZV_init(rowZV, nrowA, NULL) ;
rowA = ZV_entries(rowZV) ;
for ( jcolX = 0 ; jcolX < ncolB ; jcolX++ ) {
SubMtx_fillColumnZV(mtxX, jcolX, colZV) ;
for ( irowA = 0 ; irowA < nrowA ; irowA++ ) {
SubMtx_fillRowZV(mtxA, irowA, rowZV) ;
SubMtx_locationOfComplexEntry(mtxX,
irowA, jcolX, &pXRij, &pXIij) ;
SubMtx_locationOfComplexEntry(mtxB,
irowA, jcolX, &pBRij, &pBIij) ;
ZVdotU(nrowA, rowA, colX, &rdot, &idot) ;
switch ( mode ) {
case SUBMTX_DENSE_SUBROWS :
case SUBMTX_SPARSE_ROWS :
case SUBMTX_DENSE_SUBCOLUMNS :
case SUBMTX_SPARSE_COLUMNS :
*pBRij = *pXRij + rdot ;
*pBIij = *pXIij + idot ;
break ;
case SUBMTX_DIAGONAL :
case SUBMTX_BLOCK_DIAGONAL_SYM :
case SUBMTX_BLOCK_DIAGONAL_HERM :
*pBRij = rdot ;
*pBIij = idot ;
break ;
}
}
}
ZV_free(colZV) ;
ZV_free(rowZV) ;
}
/*
----------------------
print out the matrices
----------------------
*/
if ( msglvl > 1 ) {
fprintf(msgFile, "\n\n %% X SubMtx object") ;
fprintf(msgFile, "\n X = zeros(%d,%d) ;", nrowX, ncolX) ;
SubMtx_writeForMatlab(mtxX, "X", msgFile) ;
fprintf(msgFile, "\n\n %% A SubMtx object") ;
fprintf(msgFile, "\n A = zeros(%d,%d) ;", nrowA, ncolA) ;
SubMtx_writeForMatlab(mtxA, "A", msgFile) ;
fprintf(msgFile, "\n\n %% B SubMtx object") ;
fprintf(msgFile, "\n B = zeros(%d,%d) ;", nrowB, ncolB) ;
SubMtx_writeForMatlab(mtxB, "B", msgFile) ;
fflush(msgFile) ;
}
/*
-----------------
check with matlab
-----------------
*/
if ( msglvl > 1 ) {
switch ( mode ) {
case SUBMTX_DENSE_SUBROWS :
case SUBMTX_SPARSE_ROWS :
case SUBMTX_DENSE_SUBCOLUMNS :
case SUBMTX_SPARSE_COLUMNS :
fprintf(msgFile,
"\n\n emtx = abs(B - X - A*X) ;"
"\n\n condA = cond(eye(%d,%d) + A)"
"\n\n maxabsZ = max(max(abs(emtx))) ", nrowA, nrowA) ;
fflush(msgFile) ;
break ;
case SUBMTX_DIAGONAL :
case SUBMTX_BLOCK_DIAGONAL_SYM :
case SUBMTX_BLOCK_DIAGONAL_HERM :
fprintf(msgFile,
"\n\n emtx = abs(B - A*X) ;"
"\n\n condA = cond(A)"
"\n\n maxabsZ = max(max(abs(emtx))) ") ;
fflush(msgFile) ;
break ;
}
}
/*
----------------------------------------
compute the solve DY = B or (I + A)Y = B
----------------------------------------
*/
SubMtx_solve(mtxA, mtxB) ;
if ( msglvl > 1 ) {
fprintf(msgFile, "\n\n %% Y SubMtx object") ;
fprintf(msgFile, "\n Y = zeros(%d,%d) ;", nrowB, ncolB) ;
SubMtx_writeForMatlab(mtxB, "Y", msgFile) ;
fprintf(msgFile,
"\n\n %% solerror = abs(Y - X) ;"
"\n\n solerror = abs(Y - X) ;"
"\n\n maxabserror = max(max(solerror)) ") ;
fflush(msgFile) ;
}
/*
------------------------
free the working storage
------------------------
*/
SubMtx_free(mtxA) ;
SubMtx_free(mtxX) ;
SubMtx_free(mtxB) ;
Drand_free(drand) ;
fprintf(msgFile, "\n") ;
return(1) ; }
/*
----------------------------------------------------------------
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 ; }
