Пример #1
0
/*
   ---------------------------------------
   purpose -- solve (I + A^T) X = B, where 
     (1) A is strictly lower triangular
     (2) X overwrites B
     (B) B has mode SUBMTX_DENSE_COLUMNS

   created -- 98may01, cca
   ---------------------------------------
*/
static void
solveSparseRows (
   SubMtx   *mtxA,
   SubMtx   *mtxB
) {
double   ai, ar, bi0, bi1, bi2, br0, br1, br2 ;
double   *colB0, *colB1, *colB2, *entriesA, *entriesB ;
int      colstart, ii, iloc, inc1, inc2, jcolA, jcolB, 
         jj, kk, ncolB, nentA, nrowA, nrowB, rloc, size ;
int      *indicesA, *sizesA ;
/*
   ----------------------------------------------------
   extract the pointer and dimensions from two matrices
   ----------------------------------------------------
*/
SubMtx_sparseRowsInfo(mtxA, &nrowA, &nentA, 
                    &sizesA, &indicesA, &entriesA) ;
SubMtx_denseInfo(mtxB, &nrowB, &ncolB, &inc1, &inc2, &entriesB) ;
#if MYDEBUG > 0
   fprintf(stdout, "\n nrowA = %d, ncolA = %d", nrowA, nentA) ;
   fflush(stdout) ;
#endif
colB0 = entriesB ;
for ( jcolB = 0 ; jcolB < ncolB - 2 ; jcolB += 3 ) {
   colB1 = colB0 + 2*nrowB ;
   colB2 = colB1 + 2*nrowB ;
#if MYDEBUG > 0
   fprintf(stdout, "\n jcolB = %d", jcolB) ;
   fflush(stdout) ;
#endif
   for ( jcolA = nrowA - 1, colstart = nentA ; 
         jcolA >= 0 ; 
         jcolA-- ) {
      if ( (size = sizesA[jcolA]) > 0 ) {
         colstart -= size ;
         rloc = 2*jcolA ;
         iloc = rloc + 1 ;
         br0 = colB0[rloc] ; bi0 = colB0[iloc] ;
         br1 = colB1[rloc] ; bi1 = colB1[iloc] ;
         br2 = colB2[rloc] ; bi2 = colB2[iloc] ;
         for ( ii = 0, kk = colstart ; ii < size ; ii++, kk++ ) {
            ar = entriesA[2*kk] ; ai = entriesA[2*kk+1] ;
            jj  = indicesA[kk] ;
            rloc = 2*jj ;
            iloc = rloc + 1 ;
            colB0[rloc] -= ar*br0 + ai*bi0 ;
            colB0[iloc] -= ar*bi0 - ai*br0 ;
            colB1[rloc] -= ar*br1 + ai*bi1 ;
            colB1[iloc] -= ar*bi1 - ai*br1 ;
            colB2[rloc] -= ar*br2 + ai*bi2 ;
            colB2[iloc] -= ar*bi2 - ai*br2 ;
         }
      }
   }
   colB0 = colB2 + 2*nrowB ;
}
if ( jcolB == ncolB - 2 ) {
   colB1 = colB0 + 2*nrowB ;
#if MYDEBUG > 0
   fprintf(stdout, "\n jcolB = %d", jcolB) ;
   fflush(stdout) ;
#endif
   for ( jcolA = nrowA - 1, colstart = nentA ; 
         jcolA >= 0 ; 
         jcolA-- ) {
      if ( (size = sizesA[jcolA]) > 0 ) {
         colstart -= size ;
         rloc = 2*jcolA ;
         iloc = rloc + 1 ;
         br0 = colB0[rloc] ; bi0 = colB0[iloc] ;
         br1 = colB1[rloc] ; bi1 = colB1[iloc] ;
         for ( ii = 0, kk = colstart ; ii < size ; ii++, kk++ ) {
            ar = entriesA[2*kk] ; ai = entriesA[2*kk+1] ;
            jj  = indicesA[kk] ;
            rloc = 2*jj ;
            iloc = rloc + 1 ;
            colB0[rloc] -= ar*br0 + ai*bi0 ;
            colB0[iloc] -= ar*bi0 - ai*br0 ;
            colB1[rloc] -= ar*br1 + ai*bi1 ;
            colB1[iloc] -= ar*bi1 - ai*br1 ;
         }
      }
   }
} else if ( jcolB == ncolB - 1 ) {
#if MYDEBUG > 0
   fprintf(stdout, "\n jcolB = %d", jcolB) ;
   fflush(stdout) ;
#endif
   for ( jcolA = nrowA - 1, colstart = nentA ; 
         jcolA >= 0 ; 
         jcolA-- ) {
      if ( (size = sizesA[jcolA]) > 0 ) {
         colstart -= size ;
         rloc = 2*jcolA ;
         iloc = rloc + 1 ;
         br0 = colB0[rloc] ; bi0 = colB0[iloc] ;
         for ( ii = 0, kk = colstart ; ii < size ; ii++, kk++ ) {
            ar = entriesA[2*kk] ; ai = entriesA[2*kk+1] ;
            jj  = indicesA[kk] ;
            rloc = 2*jj ;
            iloc = rloc + 1 ;
            colB0[rloc] -= ar*br0 + ai*bi0 ;
            colB0[iloc] -= ar*bi0 - ai*br0 ;
         }
      }
   }
}
return ; }
Пример #2
0
/*
   -------------------------------------------------
   purpose -- to return a pointer to the location of
               matrix entry (irow,jcol) if present.

   if entry (irow,jcol) is not present then
      *ppValue is NULL
   else entry (irow,jcol) is present then
      *ppValue is the location of the matrix entry
   endif

   created -- 98may01, cca
   -------------------------------------------------
*/
void
SubMtx_locationOfRealEntry (
   SubMtx   *mtx,
   int      irow,
   int      jcol,
   double   **ppValue
) {
/*
   ---------------
   check the input
   ---------------
*/
if (  mtx == NULL || irow < 0 || irow >= mtx->nrow || jcol < 0 
   || jcol >= mtx->ncol || ppValue == NULL ) {
   fprintf(stderr, 
       "\n fatal error in SubMtx_locationOfRealEntry(%p,%d,%d,%p)"
           "\n bad input\n", mtx, irow, jcol, ppValue) ;
   exit(-1) ;
}
if ( ! SUBMTX_IS_REAL(mtx) ) {
   fprintf(stderr, 
       "\n fatal error in SubMtx_locationOfRealEntry(%p,%d,%d,%p)"
           "\n bad type %d, must be SPOOLES_REAL\n", 
           mtx, irow, jcol, ppValue, mtx->type) ;
   exit(-1) ;
}
*ppValue = NULL ;
switch ( mtx->mode ) {
case SUBMTX_DENSE_ROWS :
case SUBMTX_DENSE_COLUMNS : {
   double   *entries ;
   int      inc1, inc2, ncol, nrow, offset ;

   SubMtx_denseInfo(mtx, &nrow, &ncol, &inc1, &inc2, &entries) ;
   if ( irow >= 0 && irow < nrow && jcol >= 0 && jcol < ncol ) {
      offset = irow*inc1 + jcol*inc2 ;
      *ppValue = entries + offset ;
   }
   } break ;
case SUBMTX_SPARSE_ROWS : {
   double   *entries ;
   int      ii, jj, nent, nrow, offset, *indices, *sizes ;

   SubMtx_sparseRowsInfo(mtx, &nrow, &nent, &sizes, &indices, &entries);
   if ( irow >= 0 && irow < nrow ) {
      for ( ii = offset = 0 ; ii < irow ; ii++ ) {
         offset += sizes[ii] ;
      }
      for ( ii = 0, jj = offset ; ii < sizes[irow] ; ii++, jj++ ) {
         if ( indices[jj] == jcol ) {
            *ppValue = entries + jj ;
            break ;
         }
      }
   }
   } break ;
case SUBMTX_SPARSE_COLUMNS : {
   double   *entries ;
   int      ii, jj, nent, ncol, offset, *indices, *sizes ;

   SubMtx_sparseColumnsInfo(mtx, &ncol, &nent, 
                          &sizes, &indices, &entries) ;
   if ( jcol >= 0 && jcol < ncol ) {
      for ( ii = offset = 0 ; ii < jcol ; ii++ ) {
         offset += sizes[ii] ;
      }
      for ( ii = 0, jj = offset ; ii < sizes[jcol] ; ii++, jj++ ) {
         if ( indices[jj] == irow ) {
            *ppValue = entries + jj ;
            break ;
         }
      }
   }
   } break ;
case SUBMTX_SPARSE_TRIPLES : {
   double   *entries ;
   int      ii, nent, *colids, *rowids ;

   SubMtx_sparseTriplesInfo(mtx, &nent, &rowids, &colids, &entries) ;
   for ( ii = 0 ; ii < nent ; ii++ ) {
      if ( irow == rowids[ii] && jcol == colids[ii] ) {
         *ppValue = entries + ii ;
         break ;
      }
   }
   } break ;
case SUBMTX_DENSE_SUBROWS : {
   double   *entries ;
   int      ii, joff, nent, nrow, offset, *firstlocs, *sizes ;

   SubMtx_denseSubrowsInfo(mtx, &nrow, &nent, 
                         &firstlocs, &sizes, &entries) ;
   if ( irow >= 0 && irow < nrow && sizes[irow] != 0 ) { 
      for ( ii = offset = 0 ; ii < irow ; ii++ ) {
         offset += sizes[ii] ;
      }
      if ( 0 <= (joff = jcol - firstlocs[irow]) 
           && joff < sizes[irow] ) {
         offset += joff ;
         *ppValue = entries + offset ;
         break ;
      }
   }
   } break ;
case SUBMTX_DENSE_SUBCOLUMNS : {
   double   *entries ;
   int      ii, ioff, nent, ncol, offset, *firstlocs, *sizes ;

   SubMtx_denseSubcolumnsInfo(mtx, &ncol, &nent, 
                            &firstlocs, &sizes, &entries) ;
   if ( jcol >= 0 && jcol < ncol && sizes[jcol] != 0 ) { 
      for ( ii = offset = 0 ; ii < jcol ; ii++ ) {
         offset += sizes[jcol] ;
      }
      if (  0 <= (ioff = irow - firstlocs[jcol]) 
         && ioff < sizes[jcol] ) {
         offset += ioff ;
         *ppValue = entries + offset ;
         break ;
      }
   }
   } break ;
case SUBMTX_DIAGONAL : {
   double   *entries ;
   int      ncol ;

   if ( irow >= 0 && jcol >= 0 && irow == jcol ) {
      SubMtx_diagonalInfo(mtx, &ncol, &entries) ;
      if ( irow < ncol && jcol < ncol ) { 
         *ppValue = entries + irow ;
      }
   }
   } break ;
case SUBMTX_BLOCK_DIAGONAL_SYM :
case SUBMTX_BLOCK_DIAGONAL_HERM : {
   double   *entries ;
   int      ii, ipivot, jrow, kk, m, ncol, nent, size ;
   int      *pivotsizes ;

   if ( irow >= 0 && jcol >= 0 ) {
      SubMtx_blockDiagonalInfo(mtx, &ncol, &nent, 
                               &pivotsizes, &entries) ;
      if ( irow < ncol && jcol < ncol ) { 
         for ( jrow = ipivot = kk = 0 ; jrow <= irow ; ipivot++ ) {
            size = m = pivotsizes[ipivot] ;
            for ( ii = 0 ; ii < m ; ii++, jrow++ ) {
               if ( jrow == irow ) {
                  if ( jrow - irow > m - ii ) {
                     kk = -1 ;
                  } else {
                     kk += jrow - irow ;
                  }
               } else {
                  kk += size-- ;
               }
            }
         }
         if ( kk != -1 ) {
            *ppValue = entries + kk ;
         }
      }
   }
   } break ;
default :
   fprintf(stderr, 
       "\n fatal error in SubMtx_locationOfRealEntry(%p,%d,%d,%p)"
       "\n bad mode %d", mtx, irow, jcol, ppValue, mtx->mode) ;
   exit(-1) ;
   break ;
}
return ; }
Пример #3
0
/*
   -------------------------------------------------------
   purpose -- to find matrix entry (irow,jcol) if present.

   return value --
     if entry (irow,jcol) is not present then
        *pReal and *pImag are 0.0
        return value is -1
     else entry (irow,jcol) is present then
        (*pReal,*pImag) is the matrix entry
        return value is offset into entries array 
     endif

   created -- 98may01, cca
   -------------------------------------------------------
*/
int
SubMtx_complexEntry (
   SubMtx   *mtx,
   int      irow,
   int      jcol,
   double   *pReal,
   double   *pImag
) {
/*
   ---------------
   check the input
   ---------------
*/
if (  mtx == NULL || irow < 0 || irow >= mtx->nrow || jcol < 0 
   || jcol >= mtx->ncol || pReal == NULL || pImag == NULL ) {
   fprintf(stderr, 
           "\n fatal error in SubMtx_complexEntry(%p,%d,%d,%p,%p)"
           "\n bad input\n", mtx, irow, jcol, pReal, pImag) ;
   exit(-1) ;
}
if ( ! SUBMTX_IS_COMPLEX(mtx) ) {
   fprintf(stderr, 
           "\n fatal error in SubMtx_complexEntry(%p,%d,%d,%p,%p)"
           "\n bad type %d, must be SPOOLES_COMPLEX\n", 
           mtx, irow, jcol, pReal, pImag, mtx->type) ;
   exit(-1) ;
}
*pReal = *pImag = 0 ;
switch ( mtx->mode ) {
case SUBMTX_DENSE_ROWS :
case SUBMTX_DENSE_COLUMNS : {
   double   *entries ;
   int      inc1, inc2, ncol, nrow, offset ;

   SubMtx_denseInfo(mtx, &nrow, &ncol, &inc1, &inc2, &entries) ;
   if ( irow < 0 || irow >= nrow || jcol < 0 || jcol >= ncol ) {
      return(-1) ;
   }
   offset = irow*inc1 + jcol*inc2 ;
   *pReal = entries[2*offset] ;
   *pImag = entries[2*offset+1] ;
   return(offset) ;
   } break ;
case SUBMTX_SPARSE_ROWS : {
   double   *entries ;
   int      ii, jj, nent, nrow, offset, *indices, *sizes ;

   SubMtx_sparseRowsInfo(mtx, &nrow, &nent, &sizes, &indices, &entries) ;
   if ( irow < 0 || irow >= nrow ) {
      return(-1) ;
   }
   for ( ii = offset = 0 ; ii < irow ; ii++ ) {
      offset += sizes[ii] ;
   }
   for ( ii = 0, jj = offset ; ii < sizes[irow] ; ii++, jj++ ) {
      if ( indices[jj] == jcol ) {
         *pReal = entries[2*jj] ;
         *pImag = entries[2*jj+1] ;
         return(jj) ;
      }
   }
   return(-1) ;
   } break ;
case SUBMTX_SPARSE_COLUMNS : {
   double   *entries ;
   int      ii, jj, nent, ncol, offset, *indices, *sizes ;

   SubMtx_sparseColumnsInfo(mtx, &ncol, &nent, 
                          &sizes, &indices, &entries) ;
   if ( jcol < 0 || jcol >= ncol ) {
      return(-1) ;
   }
   for ( ii = offset = 0 ; ii < jcol ; ii++ ) {
      offset += sizes[ii] ;
   }
   for ( ii = 0, jj = offset ; ii < sizes[jcol] ; ii++, jj++ ) {
      if ( indices[jj] == irow ) {
         *pReal = entries[2*jj] ;
         *pImag = entries[2*jj+1] ;
         return(jj) ;
      }
   }
   return(-1) ;
   } break ;
case SUBMTX_SPARSE_TRIPLES : {
   double   *entries ;
   int      ii, nent, *colids, *rowids ;

   SubMtx_sparseTriplesInfo(mtx, &nent, &rowids, &colids, &entries) ;
   for ( ii = 0 ; ii < nent ; ii++ ) {
      if ( irow == rowids[ii] && jcol == colids[ii] ) {
         *pReal = entries[2*ii] ;
         *pImag = entries[2*ii+1] ;
         return(ii) ;
      }
   }
   return(-1) ;
   } break ;
case SUBMTX_DENSE_SUBROWS : {
   double   *entries ;
   int      ii, joff, nent, nrow, offset, *firstlocs, *sizes ;

   SubMtx_denseSubrowsInfo(mtx, &nrow, &nent, 
                         &firstlocs, &sizes, &entries) ;
   if ( irow < 0 || irow >= nrow || sizes[irow] == 0 ) { 
      return(-1) ;
   }
   for ( ii = offset = 0 ; ii < irow ; ii++ ) {
      offset += sizes[ii] ;
   }
   if ( 0 <= (joff = jcol - firstlocs[irow]) && joff < sizes[irow] ) {
      offset += joff ;
      *pReal = entries[2*offset] ;
      *pImag = entries[2*offset+1] ;
      return(offset) ;
   }
   return(-1) ;       
   } break ;
case SUBMTX_DENSE_SUBCOLUMNS : {
   double   *entries ;
   int      ii, ioff, nent, ncol, offset, *firstlocs, *sizes ;

   SubMtx_denseSubcolumnsInfo(mtx, &ncol, &nent, 
                            &firstlocs, &sizes, &entries) ;
   if ( jcol < 0 || jcol >= ncol || sizes[jcol] == 0 ) { 
      return(-1) ;
   }
   for ( ii = offset = 0 ; ii < jcol ; ii++ ) {
      offset += sizes[ii] ;
   }
   if ( 0 <= (ioff = irow - firstlocs[jcol]) && ioff < sizes[jcol] ) {
      offset += ioff ;
      *pReal = entries[2*offset] ;
      *pImag = entries[2*offset+1] ;
      return(offset) ;
   }
   return(-1) ;       
   } break ;
case SUBMTX_DIAGONAL : {
   double   *entries ;
   int      ncol ;

   if ( irow < 0 || jcol < 0 || irow != jcol ) {
      return(-1) ;
   }
   SubMtx_diagonalInfo(mtx, &ncol, &entries) ;
   if ( irow >= ncol || jcol >= ncol ) { 
      return(-1) ;
   }
   *pReal = entries[2*irow] ;
   *pImag = entries[2*irow+1] ;
   return(irow) ;
   } break ;
case SUBMTX_BLOCK_DIAGONAL_SYM : {
   double   *entries ;
   int      ii, ipivot, jrow, kk, m, ncol, nent, size ;
   int      *pivotsizes ;

   if ( irow < 0 || jcol < 0 ) {
      return(-1) ;
   }
   if ( irow > jcol ) {
      ii   = irow ;
      irow = jcol ;
      jcol = ii   ;
   }
   SubMtx_blockDiagonalInfo(mtx, &ncol, &nent, &pivotsizes, &entries) ;
   if ( irow >= ncol || jcol >= ncol ) { 
      return(-1) ;
   }
   for ( jrow = ipivot = kk = 0 ; jrow <= irow ; ipivot++ ) {
      size = m = pivotsizes[ipivot] ;
      for ( ii = 0 ; ii < m ; ii++, jrow++ ) {
         if ( jrow == irow ) {
            if ( jcol - irow > m - ii - 1 ) {
               return(-1) ;
            } else {
               kk += jcol - irow ;
               *pReal = entries[2*kk] ;
               *pImag = entries[2*kk+1] ;
               return(kk) ;
            }
         } else {
            kk += size-- ;
         }
      }
   }
   return(kk) ;
   } break ;
case SUBMTX_BLOCK_DIAGONAL_HERM : {
   double   sign ;
   double   *entries ;
   int      ii, ipivot, jrow, kk, m, ncol, nent, size ;
   int      *pivotsizes ;

   if ( irow < 0 || jcol < 0 ) {
      return(-1) ;
   }
   if ( irow > jcol ) {
      ii   = irow ;
      irow = jcol ;
      jcol = ii   ;
      sign = -1.0 ;
   } else {
      sign = 1.0 ;
   }
   SubMtx_blockDiagonalInfo(mtx, &ncol, &nent, &pivotsizes, &entries) ;
   if ( irow >= ncol || jcol >= ncol ) { 
      return(-1) ;
   }
   for ( jrow = ipivot = kk = 0 ; jrow <= irow ; ipivot++ ) {
      size = m = pivotsizes[ipivot] ;
      for ( ii = 0 ; ii < m ; ii++, jrow++ ) {
         if ( jrow == irow ) {
            if ( jcol - irow > m - ii - 1 ) {
               return(-1) ;
            } else {
               kk += jcol - irow ;
               *pReal = entries[2*kk] ;
               *pImag = sign*entries[2*kk+1] ;
               return(kk) ;
            }
         } else {
            kk += size-- ;
         }
      }
   }
   return(kk) ;
   } break ;
default :
   fprintf(stderr, 
           "\n fatal error in SubMtx_complexEntry(%p,%d,%d,%p,%p)"
           "\n bad mode %d", mtx, irow, jcol, pReal, pImag, mtx->mode) ;
   exit(-1) ;
   break ;
}
return(-1) ; }
Пример #4
0
/*
   ----------------------------------------------------------------
   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 ; }