Actual source code: mpisbaij.c

      2: #include <../src/mat/impls/baij/mpi/mpibaij.h>
      3: #include <../src/mat/impls/sbaij/mpi/mpisbaij.h>
      4: #include <../src/mat/impls/sbaij/seq/sbaij.h>
      5: #include <petscblaslapack.h>

      7: #if defined(PETSC_HAVE_ELEMENTAL)
      8: PETSC_INTERN PetscErrorCode MatConvert_MPISBAIJ_Elemental(Mat,MatType,MatReuse,Mat*);
      9: #endif
     10: #if defined(PETSC_HAVE_SCALAPACK)
     11: PETSC_INTERN PetscErrorCode MatConvert_SBAIJ_ScaLAPACK(Mat,MatType,MatReuse,Mat*);
     12: #endif

     14: /* This could be moved to matimpl.h */
     15: static PetscErrorCode MatPreallocateWithMats_Private(Mat B, PetscInt nm, Mat X[], PetscBool symm[], PetscBool fill)
     16: {
     17:   Mat            preallocator;
     18:   PetscInt       r,rstart,rend;
     19:   PetscInt       bs,i,m,n,M,N;
     20:   PetscBool      cong = PETSC_TRUE;

     26:   for (i = 0; i < nm; i++) {
     28:     PetscLayoutCompare(B->rmap,X[i]->rmap,&cong);
     29:     if (!cong) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_SUP,"Not for different layouts");
     30:   }
     32:   MatGetBlockSize(B,&bs);
     33:   MatGetSize(B,&M,&N);
     34:   MatGetLocalSize(B,&m,&n);
     35:   MatCreate(PetscObjectComm((PetscObject)B),&preallocator);
     36:   MatSetType(preallocator,MATPREALLOCATOR);
     37:   MatSetBlockSize(preallocator,bs);
     38:   MatSetSizes(preallocator,m,n,M,N);
     39:   MatSetUp(preallocator);
     40:   MatGetOwnershipRange(preallocator,&rstart,&rend);
     41:   for (r = rstart; r < rend; ++r) {
     42:     PetscInt          ncols;
     43:     const PetscInt    *row;
     44:     const PetscScalar *vals;

     46:     for (i = 0; i < nm; i++) {
     47:       MatGetRow(X[i],r,&ncols,&row,&vals);
     48:       MatSetValues(preallocator,1,&r,ncols,row,vals,INSERT_VALUES);
     49:       if (symm && symm[i]) {
     50:         MatSetValues(preallocator,ncols,row,1,&r,vals,INSERT_VALUES);
     51:       }
     52:       MatRestoreRow(X[i],r,&ncols,&row,&vals);
     53:     }
     54:   }
     55:   MatAssemblyBegin(preallocator,MAT_FINAL_ASSEMBLY);
     56:   MatAssemblyEnd(preallocator,MAT_FINAL_ASSEMBLY);
     57:   MatPreallocatorPreallocate(preallocator,fill,B);
     58:   MatDestroy(&preallocator);
     59:   return(0);
     60: }

     62: PETSC_INTERN PetscErrorCode MatConvert_MPISBAIJ_Basic(Mat A, MatType newtype, MatReuse reuse, Mat *newmat)
     63: {
     64:   Mat            B;
     66:   PetscInt       r;

     69:   if (reuse != MAT_REUSE_MATRIX) {
     70:     PetscBool symm = PETSC_TRUE,isdense;
     71:     PetscInt  bs;

     73:     MatCreate(PetscObjectComm((PetscObject)A),&B);
     74:     MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);
     75:     MatSetType(B,newtype);
     76:     MatGetBlockSize(A,&bs);
     77:     MatSetBlockSize(B,bs);
     78:     PetscLayoutSetUp(B->rmap);
     79:     PetscLayoutSetUp(B->cmap);
     80:     PetscObjectTypeCompareAny((PetscObject)B,&isdense,MATSEQDENSE,MATMPIDENSE,MATSEQDENSECUDA,"");
     81:     if (!isdense) {
     82:       MatGetRowUpperTriangular(A);
     83:       MatPreallocateWithMats_Private(B,1,&A,&symm,PETSC_TRUE);
     84:       MatRestoreRowUpperTriangular(A);
     85:     } else {
     86:       MatSetUp(B);
     87:     }
     88:   } else {
     89:     B    = *newmat;
     90:     MatZeroEntries(B);
     91:   }

     93:   MatGetRowUpperTriangular(A);
     94:   for (r = A->rmap->rstart; r < A->rmap->rend; r++) {
     95:     PetscInt          ncols;
     96:     const PetscInt    *row;
     97:     const PetscScalar *vals;

     99:     MatGetRow(A,r,&ncols,&row,&vals);
    100:     MatSetValues(B,1,&r,ncols,row,vals,INSERT_VALUES);
    101: #if defined(PETSC_USE_COMPLEX)
    102:     if (A->hermitian) {
    103:       PetscInt i;
    104:       for (i = 0; i < ncols; i++) {
    105:         MatSetValue(B,row[i],r,PetscConj(vals[i]),INSERT_VALUES);
    106:       }
    107:     } else {
    108:       MatSetValues(B,ncols,row,1,&r,vals,INSERT_VALUES);
    109:     }
    110: #else
    111:     MatSetValues(B,ncols,row,1,&r,vals,INSERT_VALUES);
    112: #endif
    113:     MatRestoreRow(A,r,&ncols,&row,&vals);
    114:   }
    115:   MatRestoreRowUpperTriangular(A);
    116:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
    117:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);

    119:   if (reuse == MAT_INPLACE_MATRIX) {
    120:     MatHeaderReplace(A,&B);
    121:   } else {
    122:     *newmat = B;
    123:   }
    124:   return(0);
    125: }

    127: PetscErrorCode  MatStoreValues_MPISBAIJ(Mat mat)
    128: {
    129:   Mat_MPISBAIJ   *aij = (Mat_MPISBAIJ*)mat->data;

    133:   MatStoreValues(aij->A);
    134:   MatStoreValues(aij->B);
    135:   return(0);
    136: }

    138: PetscErrorCode  MatRetrieveValues_MPISBAIJ(Mat mat)
    139: {
    140:   Mat_MPISBAIJ   *aij = (Mat_MPISBAIJ*)mat->data;

    144:   MatRetrieveValues(aij->A);
    145:   MatRetrieveValues(aij->B);
    146:   return(0);
    147: }

    149: #define  MatSetValues_SeqSBAIJ_A_Private(row,col,value,addv,orow,ocol)      \
    150:   { \
    151:     brow = row/bs;  \
    152:     rp   = aj + ai[brow]; ap = aa + bs2*ai[brow]; \
    153:     rmax = aimax[brow]; nrow = ailen[brow]; \
    154:     bcol = col/bs; \
    155:     ridx = row % bs; cidx = col % bs; \
    156:     low  = 0; high = nrow; \
    157:     while (high-low > 3) { \
    158:       t = (low+high)/2; \
    159:       if (rp[t] > bcol) high = t; \
    160:       else              low  = t; \
    161:     } \
    162:     for (_i=low; _i<high; _i++) { \
    163:       if (rp[_i] > bcol) break; \
    164:       if (rp[_i] == bcol) { \
    165:         bap = ap + bs2*_i + bs*cidx + ridx; \
    166:         if (addv == ADD_VALUES) *bap += value;  \
    167:         else                    *bap  = value;  \
    168:         goto a_noinsert; \
    169:       } \
    170:     } \
    171:     if (a->nonew == 1) goto a_noinsert; \
    172:     if (a->nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero at global row/column (%D, %D) into matrix", orow, ocol); \
    173:     MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,aimax,a->nonew,MatScalar); \
    174:     N = nrow++ - 1;  \
    175:     /* shift up all the later entries in this row */ \
    176:     PetscArraymove(rp+_i+1,rp+_i,N-_i+1); \
    177:     PetscArraymove(ap+bs2*(_i+1),ap+bs2*_i,bs2*(N-_i+1)); \
    178:     PetscArrayzero(ap+bs2*_i,bs2);  \
    179:     rp[_i]                      = bcol;  \
    180:     ap[bs2*_i + bs*cidx + ridx] = value;  \
    181:     A->nonzerostate++;\
    182: a_noinsert:; \
    183:     ailen[brow] = nrow; \
    184:   }

    186: #define  MatSetValues_SeqSBAIJ_B_Private(row,col,value,addv,orow,ocol) \
    187:   { \
    188:     brow = row/bs;  \
    189:     rp   = bj + bi[brow]; ap = ba + bs2*bi[brow]; \
    190:     rmax = bimax[brow]; nrow = bilen[brow]; \
    191:     bcol = col/bs; \
    192:     ridx = row % bs; cidx = col % bs; \
    193:     low  = 0; high = nrow; \
    194:     while (high-low > 3) { \
    195:       t = (low+high)/2; \
    196:       if (rp[t] > bcol) high = t; \
    197:       else              low  = t; \
    198:     } \
    199:     for (_i=low; _i<high; _i++) { \
    200:       if (rp[_i] > bcol) break; \
    201:       if (rp[_i] == bcol) { \
    202:         bap = ap + bs2*_i + bs*cidx + ridx; \
    203:         if (addv == ADD_VALUES) *bap += value;  \
    204:         else                    *bap  = value;  \
    205:         goto b_noinsert; \
    206:       } \
    207:     } \
    208:     if (b->nonew == 1) goto b_noinsert; \
    209:     if (b->nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero at global row/column (%D, %D) into matrix", orow, ocol); \
    210:     MatSeqXAIJReallocateAIJ(B,b->mbs,bs2,nrow,brow,bcol,rmax,ba,bi,bj,rp,ap,bimax,b->nonew,MatScalar); \
    211:     N = nrow++ - 1;  \
    212:     /* shift up all the later entries in this row */ \
    213:     PetscArraymove(rp+_i+1,rp+_i,N-_i+1); \
    214:     PetscArraymove(ap+bs2*(_i+1),ap+bs2*_i,bs2*(N-_i+1)); \
    215:     PetscArrayzero(ap+bs2*_i,bs2); \
    216:     rp[_i]                      = bcol;  \
    217:     ap[bs2*_i + bs*cidx + ridx] = value;  \
    218:     B->nonzerostate++;\
    219: b_noinsert:; \
    220:     bilen[brow] = nrow; \
    221:   }

    223: /* Only add/insert a(i,j) with i<=j (blocks).
    224:    Any a(i,j) with i>j input by user is ingored or generates an error
    225: */
    226: PetscErrorCode MatSetValues_MPISBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
    227: {
    228:   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
    229:   MatScalar      value;
    230:   PetscBool      roworiented = baij->roworiented;
    232:   PetscInt       i,j,row,col;
    233:   PetscInt       rstart_orig=mat->rmap->rstart;
    234:   PetscInt       rend_orig  =mat->rmap->rend,cstart_orig=mat->cmap->rstart;
    235:   PetscInt       cend_orig  =mat->cmap->rend,bs=mat->rmap->bs;

    237:   /* Some Variables required in the macro */
    238:   Mat          A     = baij->A;
    239:   Mat_SeqSBAIJ *a    = (Mat_SeqSBAIJ*)(A)->data;
    240:   PetscInt     *aimax=a->imax,*ai=a->i,*ailen=a->ilen,*aj=a->j;
    241:   MatScalar    *aa   =a->a;

    243:   Mat         B     = baij->B;
    244:   Mat_SeqBAIJ *b    = (Mat_SeqBAIJ*)(B)->data;
    245:   PetscInt    *bimax=b->imax,*bi=b->i,*bilen=b->ilen,*bj=b->j;
    246:   MatScalar   *ba   =b->a;

    248:   PetscInt  *rp,ii,nrow,_i,rmax,N,brow,bcol;
    249:   PetscInt  low,high,t,ridx,cidx,bs2=a->bs2;
    250:   MatScalar *ap,*bap;

    252:   /* for stash */
    253:   PetscInt  n_loc, *in_loc = NULL;
    254:   MatScalar *v_loc = NULL;

    257:   if (!baij->donotstash) {
    258:     if (n > baij->n_loc) {
    259:       PetscFree(baij->in_loc);
    260:       PetscFree(baij->v_loc);
    261:       PetscMalloc1(n,&baij->in_loc);
    262:       PetscMalloc1(n,&baij->v_loc);

    264:       baij->n_loc = n;
    265:     }
    266:     in_loc = baij->in_loc;
    267:     v_loc  = baij->v_loc;
    268:   }

    270:   for (i=0; i<m; i++) {
    271:     if (im[i] < 0) continue;
    272:     if (PetscUnlikely(im[i] >= mat->rmap->N)) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",im[i],mat->rmap->N-1);
    273:     if (im[i] >= rstart_orig && im[i] < rend_orig) { /* this processor entry */
    274:       row = im[i] - rstart_orig;              /* local row index */
    275:       for (j=0; j<n; j++) {
    276:         if (im[i]/bs > in[j]/bs) {
    277:           if (a->ignore_ltriangular) {
    278:             continue;    /* ignore lower triangular blocks */
    279:           } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"Lower triangular value cannot be set for sbaij format. Ignoring these values, run with -mat_ignore_lower_triangular or call MatSetOption(mat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE)");
    280:         }
    281:         if (in[j] >= cstart_orig && in[j] < cend_orig) {  /* diag entry (A) */
    282:           col  = in[j] - cstart_orig;         /* local col index */
    283:           brow = row/bs; bcol = col/bs;
    284:           if (brow > bcol) continue;  /* ignore lower triangular blocks of A */
    285:           if (roworiented) value = v[i*n+j];
    286:           else             value = v[i+j*m];
    287:           MatSetValues_SeqSBAIJ_A_Private(row,col,value,addv,im[i],in[j]);
    288:           /* MatSetValues_SeqBAIJ(baij->A,1,&row,1,&col,&value,addv); */
    289:         } else if (in[j] < 0) continue;
    290:         else if (in[j] >= mat->cmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[j],mat->cmap->N-1);
    291:         else {  /* off-diag entry (B) */
    292:           if (mat->was_assembled) {
    293:             if (!baij->colmap) {
    294:               MatCreateColmap_MPIBAIJ_Private(mat);
    295:             }
    296: #if defined(PETSC_USE_CTABLE)
    297:             PetscTableFind(baij->colmap,in[j]/bs + 1,&col);
    298:             col  = col - 1;
    299: #else
    300:             col = baij->colmap[in[j]/bs] - 1;
    301: #endif
    302:             if (col < 0 && !((Mat_SeqSBAIJ*)(baij->A->data))->nonew) {
    303:               MatDisAssemble_MPISBAIJ(mat);
    304:               col  =  in[j];
    305:               /* Reinitialize the variables required by MatSetValues_SeqBAIJ_B_Private() */
    306:               B    = baij->B;
    307:               b    = (Mat_SeqBAIJ*)(B)->data;
    308:               bimax= b->imax;bi=b->i;bilen=b->ilen;bj=b->j;
    309:               ba   = b->a;
    310:             } else col += in[j]%bs;
    311:           } else col = in[j];
    312:           if (roworiented) value = v[i*n+j];
    313:           else             value = v[i+j*m];
    314:           MatSetValues_SeqSBAIJ_B_Private(row,col,value,addv,im[i],in[j]);
    315:           /* MatSetValues_SeqBAIJ(baij->B,1,&row,1,&col,&value,addv); */
    316:         }
    317:       }
    318:     } else {  /* off processor entry */
    319:       if (mat->nooffprocentries) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Setting off process row %D even though MatSetOption(,MAT_NO_OFF_PROC_ENTRIES,PETSC_TRUE) was set",im[i]);
    320:       if (!baij->donotstash) {
    321:         mat->assembled = PETSC_FALSE;
    322:         n_loc          = 0;
    323:         for (j=0; j<n; j++) {
    324:           if (im[i]/bs > in[j]/bs) continue; /* ignore lower triangular blocks */
    325:           in_loc[n_loc] = in[j];
    326:           if (roworiented) {
    327:             v_loc[n_loc] = v[i*n+j];
    328:           } else {
    329:             v_loc[n_loc] = v[j*m+i];
    330:           }
    331:           n_loc++;
    332:         }
    333:         MatStashValuesRow_Private(&mat->stash,im[i],n_loc,in_loc,v_loc,PETSC_FALSE);
    334:       }
    335:     }
    336:   }
    337:   return(0);
    338: }

    340: PETSC_STATIC_INLINE PetscErrorCode MatSetValuesBlocked_SeqSBAIJ_Inlined(Mat A,PetscInt row,PetscInt col,const PetscScalar v[],InsertMode is,PetscInt orow,PetscInt ocol)
    341: {
    342:   Mat_SeqSBAIJ      *a = (Mat_SeqSBAIJ*)A->data;
    343:   PetscErrorCode    ierr;
    344:   PetscInt          *rp,low,high,t,ii,jj,nrow,i,rmax,N;
    345:   PetscInt          *imax      =a->imax,*ai=a->i,*ailen=a->ilen;
    346:   PetscInt          *aj        =a->j,nonew=a->nonew,bs2=a->bs2,bs=A->rmap->bs;
    347:   PetscBool         roworiented=a->roworiented;
    348:   const PetscScalar *value     = v;
    349:   MatScalar         *ap,*aa = a->a,*bap;

    352:   if (col < row) {
    353:     if (a->ignore_ltriangular) return(0); /* ignore lower triangular block */
    354:     else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"Lower triangular value cannot be set for sbaij format. Ignoring these values, run with -mat_ignore_lower_triangular or call MatSetOption(mat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE)");
    355:   }
    356:   rp   = aj + ai[row];
    357:   ap   = aa + bs2*ai[row];
    358:   rmax = imax[row];
    359:   nrow = ailen[row];
    360:   value = v;
    361:   low   = 0;
    362:   high  = nrow;

    364:   while (high-low > 7) {
    365:     t = (low+high)/2;
    366:     if (rp[t] > col) high = t;
    367:     else             low  = t;
    368:   }
    369:   for (i=low; i<high; i++) {
    370:     if (rp[i] > col) break;
    371:     if (rp[i] == col) {
    372:       bap = ap +  bs2*i;
    373:       if (roworiented) {
    374:         if (is == ADD_VALUES) {
    375:           for (ii=0; ii<bs; ii++) {
    376:             for (jj=ii; jj<bs2; jj+=bs) {
    377:               bap[jj] += *value++;
    378:             }
    379:           }
    380:         } else {
    381:           for (ii=0; ii<bs; ii++) {
    382:             for (jj=ii; jj<bs2; jj+=bs) {
    383:               bap[jj] = *value++;
    384:             }
    385:           }
    386:         }
    387:       } else {
    388:         if (is == ADD_VALUES) {
    389:           for (ii=0; ii<bs; ii++) {
    390:             for (jj=0; jj<bs; jj++) {
    391:               *bap++ += *value++;
    392:             }
    393:           }
    394:         } else {
    395:           for (ii=0; ii<bs; ii++) {
    396:             for (jj=0; jj<bs; jj++) {
    397:               *bap++  = *value++;
    398:             }
    399:           }
    400:         }
    401:       }
    402:       goto noinsert2;
    403:     }
    404:   }
    405:   if (nonew == 1) goto noinsert2;
    406:   if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new block index nonzero block (%D, %D) in the matrix", orow, ocol);
    407:   MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
    408:   N = nrow++ - 1; high++;
    409:   /* shift up all the later entries in this row */
    410:   PetscArraymove(rp+i+1,rp+i,N-i+1);
    411:   PetscArraymove(ap+bs2*(i+1),ap+bs2*i,bs2*(N-i+1));
    412:   rp[i] = col;
    413:   bap   = ap +  bs2*i;
    414:   if (roworiented) {
    415:     for (ii=0; ii<bs; ii++) {
    416:       for (jj=ii; jj<bs2; jj+=bs) {
    417:         bap[jj] = *value++;
    418:       }
    419:     }
    420:   } else {
    421:     for (ii=0; ii<bs; ii++) {
    422:       for (jj=0; jj<bs; jj++) {
    423:         *bap++ = *value++;
    424:       }
    425:     }
    426:   }
    427:   noinsert2:;
    428:   ailen[row] = nrow;
    429:   return(0);
    430: }

    432: /*
    433:    This routine is exactly duplicated in mpibaij.c
    434: */
    435: PETSC_STATIC_INLINE PetscErrorCode MatSetValuesBlocked_SeqBAIJ_Inlined(Mat A,PetscInt row,PetscInt col,const PetscScalar v[],InsertMode is,PetscInt orow,PetscInt ocol)
    436: {
    437:   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
    438:   PetscInt          *rp,low,high,t,ii,jj,nrow,i,rmax,N;
    439:   PetscInt          *imax=a->imax,*ai=a->i,*ailen=a->ilen;
    440:   PetscErrorCode    ierr;
    441:   PetscInt          *aj        =a->j,nonew=a->nonew,bs2=a->bs2,bs=A->rmap->bs;
    442:   PetscBool         roworiented=a->roworiented;
    443:   const PetscScalar *value     = v;
    444:   MatScalar         *ap,*aa = a->a,*bap;

    447:   rp   = aj + ai[row];
    448:   ap   = aa + bs2*ai[row];
    449:   rmax = imax[row];
    450:   nrow = ailen[row];
    451:   low  = 0;
    452:   high = nrow;
    453:   value = v;
    454:   while (high-low > 7) {
    455:     t = (low+high)/2;
    456:     if (rp[t] > col) high = t;
    457:     else             low  = t;
    458:   }
    459:   for (i=low; i<high; i++) {
    460:     if (rp[i] > col) break;
    461:     if (rp[i] == col) {
    462:       bap = ap +  bs2*i;
    463:       if (roworiented) {
    464:         if (is == ADD_VALUES) {
    465:           for (ii=0; ii<bs; ii++) {
    466:             for (jj=ii; jj<bs2; jj+=bs) {
    467:               bap[jj] += *value++;
    468:             }
    469:           }
    470:         } else {
    471:           for (ii=0; ii<bs; ii++) {
    472:             for (jj=ii; jj<bs2; jj+=bs) {
    473:               bap[jj] = *value++;
    474:             }
    475:           }
    476:         }
    477:       } else {
    478:         if (is == ADD_VALUES) {
    479:           for (ii=0; ii<bs; ii++,value+=bs) {
    480:             for (jj=0; jj<bs; jj++) {
    481:               bap[jj] += value[jj];
    482:             }
    483:             bap += bs;
    484:           }
    485:         } else {
    486:           for (ii=0; ii<bs; ii++,value+=bs) {
    487:             for (jj=0; jj<bs; jj++) {
    488:               bap[jj]  = value[jj];
    489:             }
    490:             bap += bs;
    491:           }
    492:         }
    493:       }
    494:       goto noinsert2;
    495:     }
    496:   }
    497:   if (nonew == 1) goto noinsert2;
    498:   if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new global block indexed nonzero block (%D, %D) in the matrix", orow, ocol);
    499:   MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
    500:   N = nrow++ - 1; high++;
    501:   /* shift up all the later entries in this row */
    502:   PetscArraymove(rp+i+1,rp+i,N-i+1);
    503:   PetscArraymove(ap+bs2*(i+1),ap+bs2*i,bs2*(N-i+1));
    504:   rp[i] = col;
    505:   bap   = ap +  bs2*i;
    506:   if (roworiented) {
    507:     for (ii=0; ii<bs; ii++) {
    508:       for (jj=ii; jj<bs2; jj+=bs) {
    509:         bap[jj] = *value++;
    510:       }
    511:     }
    512:   } else {
    513:     for (ii=0; ii<bs; ii++) {
    514:       for (jj=0; jj<bs; jj++) {
    515:         *bap++ = *value++;
    516:       }
    517:     }
    518:   }
    519:   noinsert2:;
    520:   ailen[row] = nrow;
    521:   return(0);
    522: }

    524: /*
    525:     This routine could be optimized by removing the need for the block copy below and passing stride information
    526:   to the above inline routines; similarly in MatSetValuesBlocked_MPIBAIJ()
    527: */
    528: PetscErrorCode MatSetValuesBlocked_MPISBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const MatScalar v[],InsertMode addv)
    529: {
    530:   Mat_MPISBAIJ    *baij = (Mat_MPISBAIJ*)mat->data;
    531:   const MatScalar *value;
    532:   MatScalar       *barray     =baij->barray;
    533:   PetscBool       roworiented = baij->roworiented,ignore_ltriangular = ((Mat_SeqSBAIJ*)baij->A->data)->ignore_ltriangular;
    534:   PetscErrorCode  ierr;
    535:   PetscInt        i,j,ii,jj,row,col,rstart=baij->rstartbs;
    536:   PetscInt        rend=baij->rendbs,cstart=baij->cstartbs,stepval;
    537:   PetscInt        cend=baij->cendbs,bs=mat->rmap->bs,bs2=baij->bs2;

    540:   if (!barray) {
    541:     PetscMalloc1(bs2,&barray);
    542:     baij->barray = barray;
    543:   }

    545:   if (roworiented) {
    546:     stepval = (n-1)*bs;
    547:   } else {
    548:     stepval = (m-1)*bs;
    549:   }
    550:   for (i=0; i<m; i++) {
    551:     if (im[i] < 0) continue;
    552:     if (PetscUnlikelyDebug(im[i] >= baij->Mbs)) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Block indexed row too large %D max %D",im[i],baij->Mbs-1);
    553:     if (im[i] >= rstart && im[i] < rend) {
    554:       row = im[i] - rstart;
    555:       for (j=0; j<n; j++) {
    556:         if (im[i] > in[j]) {
    557:           if (ignore_ltriangular) continue; /* ignore lower triangular blocks */
    558:           else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"Lower triangular value cannot be set for sbaij format. Ignoring these values, run with -mat_ignore_lower_triangular or call MatSetOption(mat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE)");
    559:         }
    560:         /* If NumCol = 1 then a copy is not required */
    561:         if ((roworiented) && (n == 1)) {
    562:           barray = (MatScalar*) v + i*bs2;
    563:         } else if ((!roworiented) && (m == 1)) {
    564:           barray = (MatScalar*) v + j*bs2;
    565:         } else { /* Here a copy is required */
    566:           if (roworiented) {
    567:             value = v + i*(stepval+bs)*bs + j*bs;
    568:           } else {
    569:             value = v + j*(stepval+bs)*bs + i*bs;
    570:           }
    571:           for (ii=0; ii<bs; ii++,value+=stepval) {
    572:             for (jj=0; jj<bs; jj++) {
    573:               *barray++ = *value++;
    574:             }
    575:           }
    576:           barray -=bs2;
    577:         }

    579:         if (in[j] >= cstart && in[j] < cend) {
    580:           col  = in[j] - cstart;
    581:           MatSetValuesBlocked_SeqSBAIJ_Inlined(baij->A,row,col,barray,addv,im[i],in[j]);
    582:         } else if (in[j] < 0) continue;
    583:         else if (PetscUnlikelyDebug(in[j] >= baij->Nbs)) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Block indexed column too large %D max %D",in[j],baij->Nbs-1);
    584:         else {
    585:           if (mat->was_assembled) {
    586:             if (!baij->colmap) {
    587:               MatCreateColmap_MPIBAIJ_Private(mat);
    588:             }

    590: #if defined(PETSC_USE_DEBUG)
    591: #if defined(PETSC_USE_CTABLE)
    592:             { PetscInt data;
    593:               PetscTableFind(baij->colmap,in[j]+1,&data);
    594:               if ((data - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
    595:             }
    596: #else
    597:             if ((baij->colmap[in[j]] - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
    598: #endif
    599: #endif
    600: #if defined(PETSC_USE_CTABLE)
    601:             PetscTableFind(baij->colmap,in[j]+1,&col);
    602:             col  = (col - 1)/bs;
    603: #else
    604:             col = (baij->colmap[in[j]] - 1)/bs;
    605: #endif
    606:             if (col < 0 && !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
    607:               MatDisAssemble_MPISBAIJ(mat);
    608:               col  = in[j];
    609:             }
    610:           } else col = in[j];
    611:           MatSetValuesBlocked_SeqBAIJ_Inlined(baij->B,row,col,barray,addv,im[i],in[j]);
    612:         }
    613:       }
    614:     } else {
    615:       if (mat->nooffprocentries) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Setting off process block indexed row %D even though MatSetOption(,MAT_NO_OFF_PROC_ENTRIES,PETSC_TRUE) was set",im[i]);
    616:       if (!baij->donotstash) {
    617:         if (roworiented) {
    618:           MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);
    619:         } else {
    620:           MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);
    621:         }
    622:       }
    623:     }
    624:   }
    625:   return(0);
    626: }

    628: PetscErrorCode MatGetValues_MPISBAIJ(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],PetscScalar v[])
    629: {
    630:   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
    632:   PetscInt       bs       = mat->rmap->bs,i,j,bsrstart = mat->rmap->rstart,bsrend = mat->rmap->rend;
    633:   PetscInt       bscstart = mat->cmap->rstart,bscend = mat->cmap->rend,row,col,data;

    636:   for (i=0; i<m; i++) {
    637:     if (idxm[i] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",idxm[i]); */
    638:     if (idxm[i] >= mat->rmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",idxm[i],mat->rmap->N-1);
    639:     if (idxm[i] >= bsrstart && idxm[i] < bsrend) {
    640:       row = idxm[i] - bsrstart;
    641:       for (j=0; j<n; j++) {
    642:         if (idxn[j] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column %D",idxn[j]); */
    643:         if (idxn[j] >= mat->cmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",idxn[j],mat->cmap->N-1);
    644:         if (idxn[j] >= bscstart && idxn[j] < bscend) {
    645:           col  = idxn[j] - bscstart;
    646:           MatGetValues_SeqSBAIJ(baij->A,1,&row,1,&col,v+i*n+j);
    647:         } else {
    648:           if (!baij->colmap) {
    649:             MatCreateColmap_MPIBAIJ_Private(mat);
    650:           }
    651: #if defined(PETSC_USE_CTABLE)
    652:           PetscTableFind(baij->colmap,idxn[j]/bs+1,&data);
    653:           data--;
    654: #else
    655:           data = baij->colmap[idxn[j]/bs]-1;
    656: #endif
    657:           if ((data < 0) || (baij->garray[data/bs] != idxn[j]/bs)) *(v+i*n+j) = 0.0;
    658:           else {
    659:             col  = data + idxn[j]%bs;
    660:             MatGetValues_SeqBAIJ(baij->B,1,&row,1,&col,v+i*n+j);
    661:           }
    662:         }
    663:       }
    664:     } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local values currently supported");
    665:   }
    666:   return(0);
    667: }

    669: PetscErrorCode MatNorm_MPISBAIJ(Mat mat,NormType type,PetscReal *norm)
    670: {
    671:   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
    673:   PetscReal      sum[2],*lnorm2;

    676:   if (baij->size == 1) {
    677:      MatNorm(baij->A,type,norm);
    678:   } else {
    679:     if (type == NORM_FROBENIUS) {
    680:       PetscMalloc1(2,&lnorm2);
    681:        MatNorm(baij->A,type,lnorm2);
    682:       *lnorm2 = (*lnorm2)*(*lnorm2); lnorm2++;            /* squar power of norm(A) */
    683:        MatNorm(baij->B,type,lnorm2);
    684:       *lnorm2 = (*lnorm2)*(*lnorm2); lnorm2--;             /* squar power of norm(B) */
    685:       MPIU_Allreduce(lnorm2,sum,2,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)mat));
    686:       *norm   = PetscSqrtReal(sum[0] + 2*sum[1]);
    687:       PetscFree(lnorm2);
    688:     } else if (type == NORM_INFINITY || type == NORM_1) { /* max row/column sum */
    689:       Mat_SeqSBAIJ *amat=(Mat_SeqSBAIJ*)baij->A->data;
    690:       Mat_SeqBAIJ  *bmat=(Mat_SeqBAIJ*)baij->B->data;
    691:       PetscReal    *rsum,*rsum2,vabs;
    692:       PetscInt     *jj,*garray=baij->garray,rstart=baij->rstartbs,nz;
    693:       PetscInt     brow,bcol,col,bs=baij->A->rmap->bs,row,grow,gcol,mbs=amat->mbs;
    694:       MatScalar    *v;

    696:       PetscMalloc2(mat->cmap->N,&rsum,mat->cmap->N,&rsum2);
    697:       PetscArrayzero(rsum,mat->cmap->N);
    698:       /* Amat */
    699:       v = amat->a; jj = amat->j;
    700:       for (brow=0; brow<mbs; brow++) {
    701:         grow = bs*(rstart + brow);
    702:         nz   = amat->i[brow+1] - amat->i[brow];
    703:         for (bcol=0; bcol<nz; bcol++) {
    704:           gcol = bs*(rstart + *jj); jj++;
    705:           for (col=0; col<bs; col++) {
    706:             for (row=0; row<bs; row++) {
    707:               vabs            = PetscAbsScalar(*v); v++;
    708:               rsum[gcol+col] += vabs;
    709:               /* non-diagonal block */
    710:               if (bcol > 0 && vabs > 0.0) rsum[grow+row] += vabs;
    711:             }
    712:           }
    713:         }
    714:         PetscLogFlops(nz*bs*bs);
    715:       }
    716:       /* Bmat */
    717:       v = bmat->a; jj = bmat->j;
    718:       for (brow=0; brow<mbs; brow++) {
    719:         grow = bs*(rstart + brow);
    720:         nz = bmat->i[brow+1] - bmat->i[brow];
    721:         for (bcol=0; bcol<nz; bcol++) {
    722:           gcol = bs*garray[*jj]; jj++;
    723:           for (col=0; col<bs; col++) {
    724:             for (row=0; row<bs; row++) {
    725:               vabs            = PetscAbsScalar(*v); v++;
    726:               rsum[gcol+col] += vabs;
    727:               rsum[grow+row] += vabs;
    728:             }
    729:           }
    730:         }
    731:         PetscLogFlops(nz*bs*bs);
    732:       }
    733:       MPIU_Allreduce(rsum,rsum2,mat->cmap->N,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)mat));
    734:       *norm = 0.0;
    735:       for (col=0; col<mat->cmap->N; col++) {
    736:         if (rsum2[col] > *norm) *norm = rsum2[col];
    737:       }
    738:       PetscFree2(rsum,rsum2);
    739:     } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for this norm yet");
    740:   }
    741:   return(0);
    742: }

    744: PetscErrorCode MatAssemblyBegin_MPISBAIJ(Mat mat,MatAssemblyType mode)
    745: {
    746:   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
    748:   PetscInt       nstash,reallocs;

    751:   if (baij->donotstash || mat->nooffprocentries) return(0);

    753:   MatStashScatterBegin_Private(mat,&mat->stash,mat->rmap->range);
    754:   MatStashScatterBegin_Private(mat,&mat->bstash,baij->rangebs);
    755:   MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);
    756:   PetscInfo2(mat,"Stash has %D entries,uses %D mallocs.\n",nstash,reallocs);
    757:   MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);
    758:   PetscInfo2(mat,"Block-Stash has %D entries, uses %D mallocs.\n",nstash,reallocs);
    759:   return(0);
    760: }

    762: PetscErrorCode MatAssemblyEnd_MPISBAIJ(Mat mat,MatAssemblyType mode)
    763: {
    764:   Mat_MPISBAIJ   *baij=(Mat_MPISBAIJ*)mat->data;
    765:   Mat_SeqSBAIJ   *a   =(Mat_SeqSBAIJ*)baij->A->data;
    767:   PetscInt       i,j,rstart,ncols,flg,bs2=baij->bs2;
    768:   PetscInt       *row,*col;
    769:   PetscBool      other_disassembled;
    770:   PetscMPIInt    n;
    771:   PetscBool      r1,r2,r3;
    772:   MatScalar      *val;

    774:   /* do not use 'b=(Mat_SeqBAIJ*)baij->B->data' as B can be reset in disassembly */
    776:   if (!baij->donotstash &&  !mat->nooffprocentries) {
    777:     while (1) {
    778:       MatStashScatterGetMesg_Private(&mat->stash,&n,&row,&col,&val,&flg);
    779:       if (!flg) break;

    781:       for (i=0; i<n;) {
    782:         /* Now identify the consecutive vals belonging to the same row */
    783:         for (j=i,rstart=row[j]; j<n; j++) {
    784:           if (row[j] != rstart) break;
    785:         }
    786:         if (j < n) ncols = j-i;
    787:         else       ncols = n-i;
    788:         /* Now assemble all these values with a single function call */
    789:         MatSetValues_MPISBAIJ(mat,1,row+i,ncols,col+i,val+i,mat->insertmode);
    790:         i    = j;
    791:       }
    792:     }
    793:     MatStashScatterEnd_Private(&mat->stash);
    794:     /* Now process the block-stash. Since the values are stashed column-oriented,
    795:        set the roworiented flag to column oriented, and after MatSetValues()
    796:        restore the original flags */
    797:     r1 = baij->roworiented;
    798:     r2 = a->roworiented;
    799:     r3 = ((Mat_SeqBAIJ*)baij->B->data)->roworiented;

    801:     baij->roworiented = PETSC_FALSE;
    802:     a->roworiented    = PETSC_FALSE;

    804:     ((Mat_SeqBAIJ*)baij->B->data)->roworiented = PETSC_FALSE; /* b->roworinted */
    805:     while (1) {
    806:       MatStashScatterGetMesg_Private(&mat->bstash,&n,&row,&col,&val,&flg);
    807:       if (!flg) break;

    809:       for (i=0; i<n;) {
    810:         /* Now identify the consecutive vals belonging to the same row */
    811:         for (j=i,rstart=row[j]; j<n; j++) {
    812:           if (row[j] != rstart) break;
    813:         }
    814:         if (j < n) ncols = j-i;
    815:         else       ncols = n-i;
    816:         MatSetValuesBlocked_MPISBAIJ(mat,1,row+i,ncols,col+i,val+i*bs2,mat->insertmode);
    817:         i    = j;
    818:       }
    819:     }
    820:     MatStashScatterEnd_Private(&mat->bstash);

    822:     baij->roworiented = r1;
    823:     a->roworiented    = r2;

    825:     ((Mat_SeqBAIJ*)baij->B->data)->roworiented = r3; /* b->roworinted */
    826:   }

    828:   MatAssemblyBegin(baij->A,mode);
    829:   MatAssemblyEnd(baij->A,mode);

    831:   /* determine if any processor has disassembled, if so we must
    832:      also disassemble ourselfs, in order that we may reassemble. */
    833:   /*
    834:      if nonzero structure of submatrix B cannot change then we know that
    835:      no processor disassembled thus we can skip this stuff
    836:   */
    837:   if (!((Mat_SeqBAIJ*)baij->B->data)->nonew) {
    838:     MPIU_Allreduce(&mat->was_assembled,&other_disassembled,1,MPIU_BOOL,MPI_PROD,PetscObjectComm((PetscObject)mat));
    839:     if (mat->was_assembled && !other_disassembled) {
    840:       MatDisAssemble_MPISBAIJ(mat);
    841:     }
    842:   }

    844:   if (!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) {
    845:     MatSetUpMultiply_MPISBAIJ(mat); /* setup Mvctx and sMvctx */
    846:   }
    847:   MatAssemblyBegin(baij->B,mode);
    848:   MatAssemblyEnd(baij->B,mode);

    850:   PetscFree2(baij->rowvalues,baij->rowindices);

    852:   baij->rowvalues = NULL;

    854:   /* if no new nonzero locations are allowed in matrix then only set the matrix state the first time through */
    855:   if ((!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) || !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
    856:     PetscObjectState state = baij->A->nonzerostate + baij->B->nonzerostate;
    857:     MPIU_Allreduce(&state,&mat->nonzerostate,1,MPIU_INT64,MPI_SUM,PetscObjectComm((PetscObject)mat));
    858:   }
    859:   return(0);
    860: }

    862: extern PetscErrorCode MatSetValues_MPIBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
    863: #include <petscdraw.h>
    864: static PetscErrorCode MatView_MPISBAIJ_ASCIIorDraworSocket(Mat mat,PetscViewer viewer)
    865: {
    866:   Mat_MPISBAIJ      *baij = (Mat_MPISBAIJ*)mat->data;
    867:   PetscErrorCode    ierr;
    868:   PetscInt          bs   = mat->rmap->bs;
    869:   PetscMPIInt       rank = baij->rank;
    870:   PetscBool         iascii,isdraw;
    871:   PetscViewer       sviewer;
    872:   PetscViewerFormat format;

    875:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);
    876:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);
    877:   if (iascii) {
    878:     PetscViewerGetFormat(viewer,&format);
    879:     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
    880:       MatInfo info;
    881:       MPI_Comm_rank(PetscObjectComm((PetscObject)mat),&rank);
    882:       MatGetInfo(mat,MAT_LOCAL,&info);
    883:       PetscViewerASCIIPushSynchronized(viewer);
    884:       PetscViewerASCIISynchronizedPrintf(viewer,"[%d] Local rows %D nz %D nz alloced %D bs %D mem %g\n",rank,mat->rmap->n,(PetscInt)info.nz_used,(PetscInt)info.nz_allocated,mat->rmap->bs,(double)info.memory);
    885:       MatGetInfo(baij->A,MAT_LOCAL,&info);
    886:       PetscViewerASCIISynchronizedPrintf(viewer,"[%d] on-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);
    887:       MatGetInfo(baij->B,MAT_LOCAL,&info);
    888:       PetscViewerASCIISynchronizedPrintf(viewer,"[%d] off-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);
    889:       PetscViewerFlush(viewer);
    890:       PetscViewerASCIIPopSynchronized(viewer);
    891:       PetscViewerASCIIPrintf(viewer,"Information on VecScatter used in matrix-vector product: \n");
    892:       VecScatterView(baij->Mvctx,viewer);
    893:       return(0);
    894:     } else if (format == PETSC_VIEWER_ASCII_INFO) {
    895:       PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);
    896:       return(0);
    897:     } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
    898:       return(0);
    899:     }
    900:   }

    902:   if (isdraw) {
    903:     PetscDraw draw;
    904:     PetscBool isnull;
    905:     PetscViewerDrawGetDraw(viewer,0,&draw);
    906:     PetscDrawIsNull(draw,&isnull);
    907:     if (isnull) return(0);
    908:   }

    910:   {
    911:     /* assemble the entire matrix onto first processor. */
    912:     Mat          A;
    913:     Mat_SeqSBAIJ *Aloc;
    914:     Mat_SeqBAIJ  *Bloc;
    915:     PetscInt     M = mat->rmap->N,N = mat->cmap->N,*ai,*aj,col,i,j,k,*rvals,mbs = baij->mbs;
    916:     MatScalar    *a;
    917:     const char   *matname;

    919:     /* Should this be the same type as mat? */
    920:     MatCreate(PetscObjectComm((PetscObject)mat),&A);
    921:     if (!rank) {
    922:       MatSetSizes(A,M,N,M,N);
    923:     } else {
    924:       MatSetSizes(A,0,0,M,N);
    925:     }
    926:     MatSetType(A,MATMPISBAIJ);
    927:     MatMPISBAIJSetPreallocation(A,mat->rmap->bs,0,NULL,0,NULL);
    928:     MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_FALSE);
    929:     PetscLogObjectParent((PetscObject)mat,(PetscObject)A);

    931:     /* copy over the A part */
    932:     Aloc = (Mat_SeqSBAIJ*)baij->A->data;
    933:     ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
    934:     PetscMalloc1(bs,&rvals);

    936:     for (i=0; i<mbs; i++) {
    937:       rvals[0] = bs*(baij->rstartbs + i);
    938:       for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
    939:       for (j=ai[i]; j<ai[i+1]; j++) {
    940:         col = (baij->cstartbs+aj[j])*bs;
    941:         for (k=0; k<bs; k++) {
    942:           MatSetValues_MPISBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);
    943:           col++;
    944:           a += bs;
    945:         }
    946:       }
    947:     }
    948:     /* copy over the B part */
    949:     Bloc = (Mat_SeqBAIJ*)baij->B->data;
    950:     ai   = Bloc->i; aj = Bloc->j; a = Bloc->a;
    951:     for (i=0; i<mbs; i++) {

    953:       rvals[0] = bs*(baij->rstartbs + i);
    954:       for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
    955:       for (j=ai[i]; j<ai[i+1]; j++) {
    956:         col = baij->garray[aj[j]]*bs;
    957:         for (k=0; k<bs; k++) {
    958:           MatSetValues_MPIBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);
    959:           col++;
    960:           a += bs;
    961:         }
    962:       }
    963:     }
    964:     PetscFree(rvals);
    965:     MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
    966:     MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
    967:     /*
    968:        Everyone has to call to draw the matrix since the graphics waits are
    969:        synchronized across all processors that share the PetscDraw object
    970:     */
    971:     PetscViewerGetSubViewer(viewer,PETSC_COMM_SELF,&sviewer);
    972:     PetscObjectGetName((PetscObject)mat,&matname);
    973:     if (!rank) {
    974:       PetscObjectSetName((PetscObject)((Mat_MPISBAIJ*)(A->data))->A,matname);
    975:       MatView_SeqSBAIJ(((Mat_MPISBAIJ*)(A->data))->A,sviewer);
    976:     }
    977:     PetscViewerRestoreSubViewer(viewer,PETSC_COMM_SELF,&sviewer);
    978:     PetscViewerFlush(viewer);
    979:     MatDestroy(&A);
    980:   }
    981:   return(0);
    982: }

    984: /* Used for both MPIBAIJ and MPISBAIJ matrices */
    985: #define MatView_MPISBAIJ_Binary MatView_MPIBAIJ_Binary

    987: PetscErrorCode MatView_MPISBAIJ(Mat mat,PetscViewer viewer)
    988: {
    990:   PetscBool      iascii,isdraw,issocket,isbinary;

    993:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);
    994:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);
    995:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSOCKET,&issocket);
    996:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);
    997:   if (iascii || isdraw || issocket) {
    998:     MatView_MPISBAIJ_ASCIIorDraworSocket(mat,viewer);
    999:   } else if (isbinary) {
    1000:     MatView_MPISBAIJ_Binary(mat,viewer);
    1001:   }
    1002:   return(0);
    1003: }

    1005: PetscErrorCode MatDestroy_MPISBAIJ(Mat mat)
    1006: {
    1007:   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;

    1011: #if defined(PETSC_USE_LOG)
    1012:   PetscLogObjectState((PetscObject)mat,"Rows=%D,Cols=%D",mat->rmap->N,mat->cmap->N);
    1013: #endif
    1014:   MatStashDestroy_Private(&mat->stash);
    1015:   MatStashDestroy_Private(&mat->bstash);
    1016:   MatDestroy(&baij->A);
    1017:   MatDestroy(&baij->B);
    1018: #if defined(PETSC_USE_CTABLE)
    1019:   PetscTableDestroy(&baij->colmap);
    1020: #else
    1021:   PetscFree(baij->colmap);
    1022: #endif
    1023:   PetscFree(baij->garray);
    1024:   VecDestroy(&baij->lvec);
    1025:   VecScatterDestroy(&baij->Mvctx);
    1026:   VecDestroy(&baij->slvec0);
    1027:   VecDestroy(&baij->slvec0b);
    1028:   VecDestroy(&baij->slvec1);
    1029:   VecDestroy(&baij->slvec1a);
    1030:   VecDestroy(&baij->slvec1b);
    1031:   VecScatterDestroy(&baij->sMvctx);
    1032:   PetscFree2(baij->rowvalues,baij->rowindices);
    1033:   PetscFree(baij->barray);
    1034:   PetscFree(baij->hd);
    1035:   VecDestroy(&baij->diag);
    1036:   VecDestroy(&baij->bb1);
    1037:   VecDestroy(&baij->xx1);
    1038: #if defined(PETSC_USE_REAL_MAT_SINGLE)
    1039:   PetscFree(baij->setvaluescopy);
    1040: #endif
    1041:   PetscFree(baij->in_loc);
    1042:   PetscFree(baij->v_loc);
    1043:   PetscFree(baij->rangebs);
    1044:   PetscFree(mat->data);

    1046:   PetscObjectChangeTypeName((PetscObject)mat,NULL);
    1047:   PetscObjectComposeFunction((PetscObject)mat,"MatStoreValues_C",NULL);
    1048:   PetscObjectComposeFunction((PetscObject)mat,"MatRetrieveValues_C",NULL);
    1049:   PetscObjectComposeFunction((PetscObject)mat,"MatMPISBAIJSetPreallocation_C",NULL);
    1050:   PetscObjectComposeFunction((PetscObject)mat,"MatMPISBAIJSetPreallocationCSR_C",NULL);
    1051: #if defined(PETSC_HAVE_ELEMENTAL)
    1052:   PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpisbaij_elemental_C",NULL);
    1053: #endif
    1054: #if defined(PETSC_HAVE_SCALAPACK)
    1055:   PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpisbaij_scalapack_C",NULL);
    1056: #endif
    1057:   PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpisbaij_mpiaij_C",NULL);
    1058:   PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpisbaij_mpibaij_C",NULL);
    1059:   return(0);
    1060: }

    1062: PetscErrorCode MatMult_MPISBAIJ_Hermitian(Mat A,Vec xx,Vec yy)
    1063: {
    1064:   Mat_MPISBAIJ      *a = (Mat_MPISBAIJ*)A->data;
    1065:   PetscErrorCode    ierr;
    1066:   PetscInt          mbs=a->mbs,bs=A->rmap->bs;
    1067:   PetscScalar       *from;
    1068:   const PetscScalar *x;

    1071:   /* diagonal part */
    1072:   (*a->A->ops->mult)(a->A,xx,a->slvec1a);
    1073:   VecSet(a->slvec1b,0.0);

    1075:   /* subdiagonal part */
    1076:   if (!a->B->ops->multhermitiantranspose) SETERRQ1(PetscObjectComm((PetscObject)a->B),PETSC_ERR_SUP,"Not for type %s\n",((PetscObject)a->B)->type_name);
    1077:   (*a->B->ops->multhermitiantranspose)(a->B,xx,a->slvec0b);

    1079:   /* copy x into the vec slvec0 */
    1080:   VecGetArray(a->slvec0,&from);
    1081:   VecGetArrayRead(xx,&x);

    1083:   PetscArraycpy(from,x,bs*mbs);
    1084:   VecRestoreArray(a->slvec0,&from);
    1085:   VecRestoreArrayRead(xx,&x);

    1087:   VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);
    1088:   VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);
    1089:   /* supperdiagonal part */
    1090:   (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,yy);
    1091:   return(0);
    1092: }

    1094: PetscErrorCode MatMult_MPISBAIJ(Mat A,Vec xx,Vec yy)
    1095: {
    1096:   Mat_MPISBAIJ      *a = (Mat_MPISBAIJ*)A->data;
    1097:   PetscErrorCode    ierr;
    1098:   PetscInt          mbs=a->mbs,bs=A->rmap->bs;
    1099:   PetscScalar       *from;
    1100:   const PetscScalar *x;

    1103:   /* diagonal part */
    1104:   (*a->A->ops->mult)(a->A,xx,a->slvec1a);
    1105:   VecSet(a->slvec1b,0.0);

    1107:   /* subdiagonal part */
    1108:   (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);

    1110:   /* copy x into the vec slvec0 */
    1111:   VecGetArray(a->slvec0,&from);
    1112:   VecGetArrayRead(xx,&x);

    1114:   PetscArraycpy(from,x,bs*mbs);
    1115:   VecRestoreArray(a->slvec0,&from);
    1116:   VecRestoreArrayRead(xx,&x);

    1118:   VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);
    1119:   VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);
    1120:   /* supperdiagonal part */
    1121:   (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,yy);
    1122:   return(0);
    1123: }

    1125: PetscErrorCode MatMultAdd_MPISBAIJ_Hermitian(Mat A,Vec xx,Vec yy,Vec zz)
    1126: {
    1127:   Mat_MPISBAIJ      *a = (Mat_MPISBAIJ*)A->data;
    1128:   PetscErrorCode    ierr;
    1129:   PetscInt          mbs=a->mbs,bs=A->rmap->bs;
    1130:   PetscScalar       *from,zero=0.0;
    1131:   const PetscScalar *x;

    1134:   /* diagonal part */
    1135:   (*a->A->ops->multadd)(a->A,xx,yy,a->slvec1a);
    1136:   VecSet(a->slvec1b,zero);

    1138:   /* subdiagonal part */
    1139:   if (!a->B->ops->multhermitiantranspose) SETERRQ1(PetscObjectComm((PetscObject)a->B),PETSC_ERR_SUP,"Not for type %s\n",((PetscObject)a->B)->type_name);
    1140:   (*a->B->ops->multhermitiantranspose)(a->B,xx,a->slvec0b);

    1142:   /* copy x into the vec slvec0 */
    1143:   VecGetArray(a->slvec0,&from);
    1144:   VecGetArrayRead(xx,&x);
    1145:   PetscArraycpy(from,x,bs*mbs);
    1146:   VecRestoreArray(a->slvec0,&from);

    1148:   VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);
    1149:   VecRestoreArrayRead(xx,&x);
    1150:   VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);

    1152:   /* supperdiagonal part */
    1153:   (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,zz);
    1154:   return(0);
    1155: }

    1157: PetscErrorCode MatMultAdd_MPISBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
    1158: {
    1159:   Mat_MPISBAIJ      *a = (Mat_MPISBAIJ*)A->data;
    1160:   PetscErrorCode    ierr;
    1161:   PetscInt          mbs=a->mbs,bs=A->rmap->bs;
    1162:   PetscScalar       *from,zero=0.0;
    1163:   const PetscScalar *x;

    1166:   /* diagonal part */
    1167:   (*a->A->ops->multadd)(a->A,xx,yy,a->slvec1a);
    1168:   VecSet(a->slvec1b,zero);

    1170:   /* subdiagonal part */
    1171:   (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);

    1173:   /* copy x into the vec slvec0 */
    1174:   VecGetArray(a->slvec0,&from);
    1175:   VecGetArrayRead(xx,&x);
    1176:   PetscArraycpy(from,x,bs*mbs);
    1177:   VecRestoreArray(a->slvec0,&from);

    1179:   VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);
    1180:   VecRestoreArrayRead(xx,&x);
    1181:   VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);

    1183:   /* supperdiagonal part */
    1184:   (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,zz);
    1185:   return(0);
    1186: }

    1188: /*
    1189:   This only works correctly for square matrices where the subblock A->A is the
    1190:    diagonal block
    1191: */
    1192: PetscErrorCode MatGetDiagonal_MPISBAIJ(Mat A,Vec v)
    1193: {
    1194:   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;

    1198:   /* if (a->rmap->N != a->cmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Supports only square matrix where A->A is diag block"); */
    1199:   MatGetDiagonal(a->A,v);
    1200:   return(0);
    1201: }

    1203: PetscErrorCode MatScale_MPISBAIJ(Mat A,PetscScalar aa)
    1204: {
    1205:   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;

    1209:   MatScale(a->A,aa);
    1210:   MatScale(a->B,aa);
    1211:   return(0);
    1212: }

    1214: PetscErrorCode MatGetRow_MPISBAIJ(Mat matin,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
    1215: {
    1216:   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
    1217:   PetscScalar    *vworkA,*vworkB,**pvA,**pvB,*v_p;
    1219:   PetscInt       bs = matin->rmap->bs,bs2 = mat->bs2,i,*cworkA,*cworkB,**pcA,**pcB;
    1220:   PetscInt       nztot,nzA,nzB,lrow,brstart = matin->rmap->rstart,brend = matin->rmap->rend;
    1221:   PetscInt       *cmap,*idx_p,cstart = mat->rstartbs;

    1224:   if (mat->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Already active");
    1225:   mat->getrowactive = PETSC_TRUE;

    1227:   if (!mat->rowvalues && (idx || v)) {
    1228:     /*
    1229:         allocate enough space to hold information from the longest row.
    1230:     */
    1231:     Mat_SeqSBAIJ *Aa = (Mat_SeqSBAIJ*)mat->A->data;
    1232:     Mat_SeqBAIJ  *Ba = (Mat_SeqBAIJ*)mat->B->data;
    1233:     PetscInt     max = 1,mbs = mat->mbs,tmp;
    1234:     for (i=0; i<mbs; i++) {
    1235:       tmp = Aa->i[i+1] - Aa->i[i] + Ba->i[i+1] - Ba->i[i]; /* row length */
    1236:       if (max < tmp) max = tmp;
    1237:     }
    1238:     PetscMalloc2(max*bs2,&mat->rowvalues,max*bs2,&mat->rowindices);
    1239:   }

    1241:   if (row < brstart || row >= brend) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local rows");
    1242:   lrow = row - brstart;  /* local row index */

    1244:   pvA = &vworkA; pcA = &cworkA; pvB = &vworkB; pcB = &cworkB;
    1245:   if (!v)   {pvA = NULL; pvB = NULL;}
    1246:   if (!idx) {pcA = NULL; if (!v) pcB = NULL;}
    1247:   (*mat->A->ops->getrow)(mat->A,lrow,&nzA,pcA,pvA);
    1248:   (*mat->B->ops->getrow)(mat->B,lrow,&nzB,pcB,pvB);
    1249:   nztot = nzA + nzB;

    1251:   cmap = mat->garray;
    1252:   if (v  || idx) {
    1253:     if (nztot) {
    1254:       /* Sort by increasing column numbers, assuming A and B already sorted */
    1255:       PetscInt imark = -1;
    1256:       if (v) {
    1257:         *v = v_p = mat->rowvalues;
    1258:         for (i=0; i<nzB; i++) {
    1259:           if (cmap[cworkB[i]/bs] < cstart) v_p[i] = vworkB[i];
    1260:           else break;
    1261:         }
    1262:         imark = i;
    1263:         for (i=0; i<nzA; i++)     v_p[imark+i] = vworkA[i];
    1264:         for (i=imark; i<nzB; i++) v_p[nzA+i]   = vworkB[i];
    1265:       }
    1266:       if (idx) {
    1267:         *idx = idx_p = mat->rowindices;
    1268:         if (imark > -1) {
    1269:           for (i=0; i<imark; i++) {
    1270:             idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
    1271:           }
    1272:         } else {
    1273:           for (i=0; i<nzB; i++) {
    1274:             if (cmap[cworkB[i]/bs] < cstart) idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
    1275:             else break;
    1276:           }
    1277:           imark = i;
    1278:         }
    1279:         for (i=0; i<nzA; i++)     idx_p[imark+i] = cstart*bs + cworkA[i];
    1280:         for (i=imark; i<nzB; i++) idx_p[nzA+i]   = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
    1281:       }
    1282:     } else {
    1283:       if (idx) *idx = NULL;
    1284:       if (v)   *v   = NULL;
    1285:     }
    1286:   }
    1287:   *nz  = nztot;
    1288:   (*mat->A->ops->restorerow)(mat->A,lrow,&nzA,pcA,pvA);
    1289:   (*mat->B->ops->restorerow)(mat->B,lrow,&nzB,pcB,pvB);
    1290:   return(0);
    1291: }

    1293: PetscErrorCode MatRestoreRow_MPISBAIJ(Mat mat,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
    1294: {
    1295:   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;

    1298:   if (!baij->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"MatGetRow() must be called first");
    1299:   baij->getrowactive = PETSC_FALSE;
    1300:   return(0);
    1301: }

    1303: PetscErrorCode MatGetRowUpperTriangular_MPISBAIJ(Mat A)
    1304: {
    1305:   Mat_MPISBAIJ *a  = (Mat_MPISBAIJ*)A->data;
    1306:   Mat_SeqSBAIJ *aA = (Mat_SeqSBAIJ*)a->A->data;

    1309:   aA->getrow_utriangular = PETSC_TRUE;
    1310:   return(0);
    1311: }
    1312: PetscErrorCode MatRestoreRowUpperTriangular_MPISBAIJ(Mat A)
    1313: {
    1314:   Mat_MPISBAIJ *a  = (Mat_MPISBAIJ*)A->data;
    1315:   Mat_SeqSBAIJ *aA = (Mat_SeqSBAIJ*)a->A->data;

    1318:   aA->getrow_utriangular = PETSC_FALSE;
    1319:   return(0);
    1320: }

    1322: PetscErrorCode MatConjugate_MPISBAIJ(Mat mat)
    1323: {
    1324: #if defined(PETSC_USE_COMPLEX)
    1326:   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)mat->data;

    1329:   MatConjugate(a->A);
    1330:   MatConjugate(a->B);
    1331: #else
    1333: #endif
    1334:   return(0);
    1335: }

    1337: PetscErrorCode MatRealPart_MPISBAIJ(Mat A)
    1338: {
    1339:   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;

    1343:   MatRealPart(a->A);
    1344:   MatRealPart(a->B);
    1345:   return(0);
    1346: }

    1348: PetscErrorCode MatImaginaryPart_MPISBAIJ(Mat A)
    1349: {
    1350:   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;

    1354:   MatImaginaryPart(a->A);
    1355:   MatImaginaryPart(a->B);
    1356:   return(0);
    1357: }

    1359: /* Check if isrow is a subset of iscol_local, called by MatCreateSubMatrix_MPISBAIJ()
    1360:    Input: isrow       - distributed(parallel),
    1361:           iscol_local - locally owned (seq)
    1362: */
    1363: PetscErrorCode ISEqual_private(IS isrow,IS iscol_local,PetscBool  *flg)
    1364: {
    1366:   PetscInt       sz1,sz2,*a1,*a2,i,j,k,nmatch;
    1367:   const PetscInt *ptr1,*ptr2;

    1370:   ISGetLocalSize(isrow,&sz1);
    1371:   ISGetLocalSize(iscol_local,&sz2);
    1372:   if (sz1 > sz2) {
    1373:     *flg = PETSC_FALSE;
    1374:     return(0);
    1375:   }

    1377:   ISGetIndices(isrow,&ptr1);
    1378:   ISGetIndices(iscol_local,&ptr2);

    1380:   PetscMalloc1(sz1,&a1);
    1381:   PetscMalloc1(sz2,&a2);
    1382:   PetscArraycpy(a1,ptr1,sz1);
    1383:   PetscArraycpy(a2,ptr2,sz2);
    1384:   PetscSortInt(sz1,a1);
    1385:   PetscSortInt(sz2,a2);

    1387:   nmatch=0;
    1388:   k     = 0;
    1389:   for (i=0; i<sz1; i++){
    1390:     for (j=k; j<sz2; j++){
    1391:       if (a1[i] == a2[j]) {
    1392:         k = j; nmatch++;
    1393:         break;
    1394:       }
    1395:     }
    1396:   }
    1397:   ISRestoreIndices(isrow,&ptr1);
    1398:   ISRestoreIndices(iscol_local,&ptr2);
    1399:   PetscFree(a1);
    1400:   PetscFree(a2);
    1401:   if (nmatch < sz1) {
    1402:     *flg = PETSC_FALSE;
    1403:   } else {
    1404:     *flg = PETSC_TRUE;
    1405:   }
    1406:   return(0);
    1407: }

    1409: PetscErrorCode MatCreateSubMatrix_MPISBAIJ(Mat mat,IS isrow,IS iscol,MatReuse call,Mat *newmat)
    1410: {
    1412:   IS             iscol_local;
    1413:   PetscInt       csize;
    1414:   PetscBool      isequal;

    1417:   ISGetLocalSize(iscol,&csize);
    1418:   if (call == MAT_REUSE_MATRIX) {
    1419:     PetscObjectQuery((PetscObject)*newmat,"ISAllGather",(PetscObject*)&iscol_local);
    1420:     if (!iscol_local) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Submatrix passed in was not used before, cannot reuse");
    1421:   } else {
    1422:     PetscBool issorted;

    1424:     ISAllGather(iscol,&iscol_local);
    1425:     ISEqual_private(isrow,iscol_local,&isequal);
    1426:     ISSorted(iscol_local, &issorted);
    1427:     if (!isequal || !issorted) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"For symmetric format, iscol must equal isrow and be sorted");
    1428:   }

    1430:   /* now call MatCreateSubMatrix_MPIBAIJ() */
    1431:   MatCreateSubMatrix_MPIBAIJ_Private(mat,isrow,iscol_local,csize,call,newmat);
    1432:   if (call == MAT_INITIAL_MATRIX) {
    1433:     PetscObjectCompose((PetscObject)*newmat,"ISAllGather",(PetscObject)iscol_local);
    1434:     ISDestroy(&iscol_local);
    1435:   }
    1436:   return(0);
    1437: }

    1439: PetscErrorCode MatZeroEntries_MPISBAIJ(Mat A)
    1440: {
    1441:   Mat_MPISBAIJ   *l = (Mat_MPISBAIJ*)A->data;

    1445:   MatZeroEntries(l->A);
    1446:   MatZeroEntries(l->B);
    1447:   return(0);
    1448: }

    1450: PetscErrorCode MatGetInfo_MPISBAIJ(Mat matin,MatInfoType flag,MatInfo *info)
    1451: {
    1452:   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)matin->data;
    1453:   Mat            A  = a->A,B = a->B;
    1455:   PetscLogDouble isend[5],irecv[5];

    1458:   info->block_size = (PetscReal)matin->rmap->bs;

    1460:   MatGetInfo(A,MAT_LOCAL,info);

    1462:   isend[0] = info->nz_used; isend[1] = info->nz_allocated; isend[2] = info->nz_unneeded;
    1463:   isend[3] = info->memory;  isend[4] = info->mallocs;

    1465:   MatGetInfo(B,MAT_LOCAL,info);

    1467:   isend[0] += info->nz_used; isend[1] += info->nz_allocated; isend[2] += info->nz_unneeded;
    1468:   isend[3] += info->memory;  isend[4] += info->mallocs;
    1469:   if (flag == MAT_LOCAL) {
    1470:     info->nz_used      = isend[0];
    1471:     info->nz_allocated = isend[1];
    1472:     info->nz_unneeded  = isend[2];
    1473:     info->memory       = isend[3];
    1474:     info->mallocs      = isend[4];
    1475:   } else if (flag == MAT_GLOBAL_MAX) {
    1476:     MPIU_Allreduce(isend,irecv,5,MPIU_PETSCLOGDOUBLE,MPI_MAX,PetscObjectComm((PetscObject)matin));

    1478:     info->nz_used      = irecv[0];
    1479:     info->nz_allocated = irecv[1];
    1480:     info->nz_unneeded  = irecv[2];
    1481:     info->memory       = irecv[3];
    1482:     info->mallocs      = irecv[4];
    1483:   } else if (flag == MAT_GLOBAL_SUM) {
    1484:     MPIU_Allreduce(isend,irecv,5,MPIU_PETSCLOGDOUBLE,MPI_SUM,PetscObjectComm((PetscObject)matin));

    1486:     info->nz_used      = irecv[0];
    1487:     info->nz_allocated = irecv[1];
    1488:     info->nz_unneeded  = irecv[2];
    1489:     info->memory       = irecv[3];
    1490:     info->mallocs      = irecv[4];
    1491:   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Unknown MatInfoType argument %d",(int)flag);
    1492:   info->fill_ratio_given  = 0; /* no parallel LU/ILU/Cholesky */
    1493:   info->fill_ratio_needed = 0;
    1494:   info->factor_mallocs    = 0;
    1495:   return(0);
    1496: }

    1498: PetscErrorCode MatSetOption_MPISBAIJ(Mat A,MatOption op,PetscBool flg)
    1499: {
    1500:   Mat_MPISBAIJ   *a  = (Mat_MPISBAIJ*)A->data;
    1501:   Mat_SeqSBAIJ   *aA = (Mat_SeqSBAIJ*)a->A->data;

    1505:   switch (op) {
    1506:   case MAT_NEW_NONZERO_LOCATIONS:
    1507:   case MAT_NEW_NONZERO_ALLOCATION_ERR:
    1508:   case MAT_UNUSED_NONZERO_LOCATION_ERR:
    1509:   case MAT_KEEP_NONZERO_PATTERN:
    1510:   case MAT_SUBMAT_SINGLEIS:
    1511:   case MAT_NEW_NONZERO_LOCATION_ERR:
    1512:     MatCheckPreallocated(A,1);
    1513:     MatSetOption(a->A,op,flg);
    1514:     MatSetOption(a->B,op,flg);
    1515:     break;
    1516:   case MAT_ROW_ORIENTED:
    1517:     MatCheckPreallocated(A,1);
    1518:     a->roworiented = flg;

    1520:     MatSetOption(a->A,op,flg);
    1521:     MatSetOption(a->B,op,flg);
    1522:     break;
    1523:   case MAT_FORCE_DIAGONAL_ENTRIES:
    1524:   case MAT_SORTED_FULL:
    1525:     PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);
    1526:     break;
    1527:   case MAT_IGNORE_OFF_PROC_ENTRIES:
    1528:     a->donotstash = flg;
    1529:     break;
    1530:   case MAT_USE_HASH_TABLE:
    1531:     a->ht_flag = flg;
    1532:     break;
    1533:   case MAT_HERMITIAN:
    1534:     MatCheckPreallocated(A,1);
    1535:     MatSetOption(a->A,op,flg);
    1536: #if defined(PETSC_USE_COMPLEX)
    1537:     if (flg) { /* need different mat-vec ops */
    1538:       A->ops->mult             = MatMult_MPISBAIJ_Hermitian;
    1539:       A->ops->multadd          = MatMultAdd_MPISBAIJ_Hermitian;
    1540:       A->ops->multtranspose    = NULL;
    1541:       A->ops->multtransposeadd = NULL;
    1542:       A->symmetric = PETSC_FALSE;
    1543:     }
    1544: #endif
    1545:     break;
    1546:   case MAT_SPD:
    1547:   case MAT_SYMMETRIC:
    1548:     MatCheckPreallocated(A,1);
    1549:     MatSetOption(a->A,op,flg);
    1550: #if defined(PETSC_USE_COMPLEX)
    1551:     if (flg) { /* restore to use default mat-vec ops */
    1552:       A->ops->mult             = MatMult_MPISBAIJ;
    1553:       A->ops->multadd          = MatMultAdd_MPISBAIJ;
    1554:       A->ops->multtranspose    = MatMult_MPISBAIJ;
    1555:       A->ops->multtransposeadd = MatMultAdd_MPISBAIJ;
    1556:     }
    1557: #endif
    1558:     break;
    1559:   case MAT_STRUCTURALLY_SYMMETRIC:
    1560:     MatCheckPreallocated(A,1);
    1561:     MatSetOption(a->A,op,flg);
    1562:     break;
    1563:   case MAT_SYMMETRY_ETERNAL:
    1564:     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Matrix must be symmetric");
    1565:     PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);
    1566:     break;
    1567:   case MAT_IGNORE_LOWER_TRIANGULAR:
    1568:     aA->ignore_ltriangular = flg;
    1569:     break;
    1570:   case MAT_ERROR_LOWER_TRIANGULAR:
    1571:     aA->ignore_ltriangular = flg;
    1572:     break;
    1573:   case MAT_GETROW_UPPERTRIANGULAR:
    1574:     aA->getrow_utriangular = flg;
    1575:     break;
    1576:   default:
    1577:     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
    1578:   }
    1579:   return(0);
    1580: }

    1582: PetscErrorCode MatTranspose_MPISBAIJ(Mat A,MatReuse reuse,Mat *B)
    1583: {

    1587:   if (reuse == MAT_INITIAL_MATRIX) {
    1588:     MatDuplicate(A,MAT_COPY_VALUES,B);
    1589:   }  else if (reuse == MAT_REUSE_MATRIX) {
    1590:     MatCopy(A,*B,SAME_NONZERO_PATTERN);
    1591:   }
    1592:   return(0);
    1593: }

    1595: PetscErrorCode MatDiagonalScale_MPISBAIJ(Mat mat,Vec ll,Vec rr)
    1596: {
    1597:   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
    1598:   Mat            a     = baij->A, b=baij->B;
    1600:   PetscInt       nv,m,n;
    1601:   PetscBool      flg;

    1604:   if (ll != rr) {
    1605:     VecEqual(ll,rr,&flg);
    1606:     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"For symmetric format, left and right scaling vectors must be same\n");
    1607:   }
    1608:   if (!ll) return(0);

    1610:   MatGetLocalSize(mat,&m,&n);
    1611:   if (m != n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"For symmetric format, local size %d %d must be same",m,n);

    1613:   VecGetLocalSize(rr,&nv);
    1614:   if (nv!=n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Left and right vector non-conforming local size");

    1616:   VecScatterBegin(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);

    1618:   /* left diagonalscale the off-diagonal part */
    1619:   (*b->ops->diagonalscale)(b,ll,NULL);

    1621:   /* scale the diagonal part */
    1622:   (*a->ops->diagonalscale)(a,ll,rr);

    1624:   /* right diagonalscale the off-diagonal part */
    1625:   VecScatterEnd(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);
    1626:   (*b->ops->diagonalscale)(b,NULL,baij->lvec);
    1627:   return(0);
    1628: }

    1630: PetscErrorCode MatSetUnfactored_MPISBAIJ(Mat A)
    1631: {
    1632:   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;

    1636:   MatSetUnfactored(a->A);
    1637:   return(0);
    1638: }

    1640: static PetscErrorCode MatDuplicate_MPISBAIJ(Mat,MatDuplicateOption,Mat*);

    1642: PetscErrorCode MatEqual_MPISBAIJ(Mat A,Mat B,PetscBool  *flag)
    1643: {
    1644:   Mat_MPISBAIJ   *matB = (Mat_MPISBAIJ*)B->data,*matA = (Mat_MPISBAIJ*)A->data;
    1645:   Mat            a,b,c,d;
    1646:   PetscBool      flg;

    1650:   a = matA->A; b = matA->B;
    1651:   c = matB->A; d = matB->B;

    1653:   MatEqual(a,c,&flg);
    1654:   if (flg) {
    1655:     MatEqual(b,d,&flg);
    1656:   }
    1657:   MPIU_Allreduce(&flg,flag,1,MPIU_BOOL,MPI_LAND,PetscObjectComm((PetscObject)A));
    1658:   return(0);
    1659: }

    1661: PetscErrorCode MatCopy_MPISBAIJ(Mat A,Mat B,MatStructure str)
    1662: {
    1664:   PetscBool      isbaij;

    1667:   PetscObjectTypeCompareAny((PetscObject)B,&isbaij,MATSEQSBAIJ,MATMPISBAIJ,"");
    1668:   if (!isbaij) SETERRQ1(PetscObjectComm((PetscObject)B),PETSC_ERR_SUP,"Not for matrix type %s",((PetscObject)B)->type_name);
    1669:   /* If the two matrices don't have the same copy implementation, they aren't compatible for fast copy. */
    1670:   if ((str != SAME_NONZERO_PATTERN) || (A->ops->copy != B->ops->copy)) {
    1671:     MatGetRowUpperTriangular(A);
    1672:     MatCopy_Basic(A,B,str);
    1673:     MatRestoreRowUpperTriangular(A);
    1674:   } else {
    1675:     Mat_MPISBAIJ *a = (Mat_MPISBAIJ*)A->data;
    1676:     Mat_MPISBAIJ *b = (Mat_MPISBAIJ*)B->data;

    1678:     MatCopy(a->A,b->A,str);
    1679:     MatCopy(a->B,b->B,str);
    1680:   }
    1681:   PetscObjectStateIncrease((PetscObject)B);
    1682:   return(0);
    1683: }

    1685: PetscErrorCode MatSetUp_MPISBAIJ(Mat A)
    1686: {

    1690:   MatMPISBAIJSetPreallocation(A,A->rmap->bs,PETSC_DEFAULT,NULL,PETSC_DEFAULT,NULL);
    1691:   return(0);
    1692: }

    1694: PetscErrorCode MatAXPY_MPISBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
    1695: {
    1697:   Mat_MPISBAIJ   *xx=(Mat_MPISBAIJ*)X->data,*yy=(Mat_MPISBAIJ*)Y->data;
    1698:   PetscBLASInt   bnz,one=1;
    1699:   Mat_SeqSBAIJ   *xa,*ya;
    1700:   Mat_SeqBAIJ    *xb,*yb;

    1703:   if (str == SAME_NONZERO_PATTERN) {
    1704:     PetscScalar alpha = a;
    1705:     xa   = (Mat_SeqSBAIJ*)xx->A->data;
    1706:     ya   = (Mat_SeqSBAIJ*)yy->A->data;
    1707:     PetscBLASIntCast(xa->nz,&bnz);
    1708:     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,xa->a,&one,ya->a,&one));
    1709:     xb   = (Mat_SeqBAIJ*)xx->B->data;
    1710:     yb   = (Mat_SeqBAIJ*)yy->B->data;
    1711:     PetscBLASIntCast(xb->nz,&bnz);
    1712:     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,xb->a,&one,yb->a,&one));
    1713:     PetscObjectStateIncrease((PetscObject)Y);
    1714:   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
    1715:     MatSetOption(X,MAT_GETROW_UPPERTRIANGULAR,PETSC_TRUE);
    1716:     MatAXPY_Basic(Y,a,X,str);
    1717:     MatSetOption(X,MAT_GETROW_UPPERTRIANGULAR,PETSC_FALSE);
    1718:   } else {
    1719:     Mat      B;
    1720:     PetscInt *nnz_d,*nnz_o,bs=Y->rmap->bs;
    1721:     if (bs != X->rmap->bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Matrices must have same block size");
    1722:     MatGetRowUpperTriangular(X);
    1723:     MatGetRowUpperTriangular(Y);
    1724:     PetscMalloc1(yy->A->rmap->N,&nnz_d);
    1725:     PetscMalloc1(yy->B->rmap->N,&nnz_o);
    1726:     MatCreate(PetscObjectComm((PetscObject)Y),&B);
    1727:     PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);
    1728:     MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);
    1729:     MatSetBlockSizesFromMats(B,Y,Y);
    1730:     MatSetType(B,MATMPISBAIJ);
    1731:     MatAXPYGetPreallocation_SeqSBAIJ(yy->A,xx->A,nnz_d);
    1732:     MatAXPYGetPreallocation_MPIBAIJ(yy->B,yy->garray,xx->B,xx->garray,nnz_o);
    1733:     MatMPISBAIJSetPreallocation(B,bs,0,nnz_d,0,nnz_o);
    1734:     MatAXPY_BasicWithPreallocation(B,Y,a,X,str);
    1735:     MatHeaderReplace(Y,&B);
    1736:     PetscFree(nnz_d);
    1737:     PetscFree(nnz_o);
    1738:     MatRestoreRowUpperTriangular(X);
    1739:     MatRestoreRowUpperTriangular(Y);
    1740:   }
    1741:   return(0);
    1742: }

    1744: PetscErrorCode MatCreateSubMatrices_MPISBAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
    1745: {
    1747:   PetscInt       i;
    1748:   PetscBool      flg;

    1751:   MatCreateSubMatrices_MPIBAIJ(A,n,irow,icol,scall,B); /* B[] are sbaij matrices */
    1752:   for (i=0; i<n; i++) {
    1753:     ISEqual(irow[i],icol[i],&flg);
    1754:     if (!flg) {
    1755:       MatSeqSBAIJZeroOps_Private(*B[i]);
    1756:     }
    1757:   }
    1758:   return(0);
    1759: }

    1761: PetscErrorCode MatShift_MPISBAIJ(Mat Y,PetscScalar a)
    1762: {
    1764:   Mat_MPISBAIJ    *maij = (Mat_MPISBAIJ*)Y->data;
    1765:   Mat_SeqSBAIJ    *aij = (Mat_SeqSBAIJ*)maij->A->data;

    1768:   if (!Y->preallocated) {
    1769:     MatMPISBAIJSetPreallocation(Y,Y->rmap->bs,1,NULL,0,NULL);
    1770:   } else if (!aij->nz) {
    1771:     PetscInt nonew = aij->nonew;
    1772:     MatSeqSBAIJSetPreallocation(maij->A,Y->rmap->bs,1,NULL);
    1773:     aij->nonew = nonew;
    1774:   }
    1775:   MatShift_Basic(Y,a);
    1776:   return(0);
    1777: }

    1779: PetscErrorCode MatMissingDiagonal_MPISBAIJ(Mat A,PetscBool  *missing,PetscInt *d)
    1780: {
    1781:   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;

    1785:   if (A->rmap->n != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only works for square matrices");
    1786:   MatMissingDiagonal(a->A,missing,d);
    1787:   if (d) {
    1788:     PetscInt rstart;
    1789:     MatGetOwnershipRange(A,&rstart,NULL);
    1790:     *d += rstart/A->rmap->bs;

    1792:   }
    1793:   return(0);
    1794: }

    1796: PetscErrorCode  MatGetDiagonalBlock_MPISBAIJ(Mat A,Mat *a)
    1797: {
    1799:   *a = ((Mat_MPISBAIJ*)A->data)->A;
    1800:   return(0);
    1801: }

    1803: /* -------------------------------------------------------------------*/
    1804: static struct _MatOps MatOps_Values = {MatSetValues_MPISBAIJ,
    1805:                                        MatGetRow_MPISBAIJ,
    1806:                                        MatRestoreRow_MPISBAIJ,
    1807:                                        MatMult_MPISBAIJ,
    1808:                                /*  4*/ MatMultAdd_MPISBAIJ,
    1809:                                        MatMult_MPISBAIJ,       /* transpose versions are same as non-transpose */
    1810:                                        MatMultAdd_MPISBAIJ,
    1811:                                        NULL,
    1812:                                        NULL,
    1813:                                        NULL,
    1814:                                /* 10*/ NULL,
    1815:                                        NULL,
    1816:                                        NULL,
    1817:                                        MatSOR_MPISBAIJ,
    1818:                                        MatTranspose_MPISBAIJ,
    1819:                                /* 15*/ MatGetInfo_MPISBAIJ,
    1820:                                        MatEqual_MPISBAIJ,
    1821:                                        MatGetDiagonal_MPISBAIJ,
    1822:                                        MatDiagonalScale_MPISBAIJ,
    1823:                                        MatNorm_MPISBAIJ,
    1824:                                /* 20*/ MatAssemblyBegin_MPISBAIJ,
    1825:                                        MatAssemblyEnd_MPISBAIJ,
    1826:                                        MatSetOption_MPISBAIJ,
    1827:                                        MatZeroEntries_MPISBAIJ,
    1828:                                /* 24*/ NULL,
    1829:                                        NULL,
    1830:                                        NULL,
    1831:                                        NULL,
    1832:                                        NULL,
    1833:                                /* 29*/ MatSetUp_MPISBAIJ,
    1834:                                        NULL,
    1835:                                        NULL,
    1836:                                        MatGetDiagonalBlock_MPISBAIJ,
    1837:                                        NULL,
    1838:                                /* 34*/ MatDuplicate_MPISBAIJ,
    1839:                                        NULL,
    1840:                                        NULL,
    1841:                                        NULL,
    1842:                                        NULL,
    1843:                                /* 39*/ MatAXPY_MPISBAIJ,
    1844:                                        MatCreateSubMatrices_MPISBAIJ,
    1845:                                        MatIncreaseOverlap_MPISBAIJ,
    1846:                                        MatGetValues_MPISBAIJ,
    1847:                                        MatCopy_MPISBAIJ,
    1848:                                /* 44*/ NULL,
    1849:                                        MatScale_MPISBAIJ,
    1850:                                        MatShift_MPISBAIJ,
    1851:                                        NULL,
    1852:                                        NULL,
    1853:                                /* 49*/ NULL,
    1854:                                        NULL,
    1855:                                        NULL,
    1856:                                        NULL,
    1857:                                        NULL,
    1858:                                /* 54*/ NULL,
    1859:                                        NULL,
    1860:                                        MatSetUnfactored_MPISBAIJ,
    1861:                                        NULL,
    1862:                                        MatSetValuesBlocked_MPISBAIJ,
    1863:                                /* 59*/ MatCreateSubMatrix_MPISBAIJ,
    1864:                                        NULL,
    1865:                                        NULL,
    1866:                                        NULL,
    1867:                                        NULL,
    1868:                                /* 64*/ NULL,
    1869:                                        NULL,
    1870:                                        NULL,
    1871:                                        NULL,
    1872:                                        NULL,
    1873:                                /* 69*/ MatGetRowMaxAbs_MPISBAIJ,
    1874:                                        NULL,
    1875:                                        MatConvert_MPISBAIJ_Basic,
    1876:                                        NULL,
    1877:                                        NULL,
    1878:                                /* 74*/ NULL,
    1879:                                        NULL,
    1880:                                        NULL,
    1881:                                        NULL,
    1882:                                        NULL,
    1883:                                /* 79*/ NULL,
    1884:                                        NULL,
    1885:                                        NULL,
    1886:                                        NULL,
    1887:                                        MatLoad_MPISBAIJ,
    1888:                                /* 84*/ NULL,
    1889:                                        NULL,
    1890:                                        NULL,
    1891:                                        NULL,
    1892:                                        NULL,
    1893:                                /* 89*/ NULL,
    1894:                                        NULL,
    1895:                                        NULL,
    1896:                                        NULL,
    1897:                                        NULL,
    1898:                                /* 94*/ NULL,
    1899:                                        NULL,
    1900:                                        NULL,
    1901:                                        NULL,
    1902:                                        NULL,
    1903:                                /* 99*/ NULL,
    1904:                                        NULL,
    1905:                                        NULL,
    1906:                                        MatConjugate_MPISBAIJ,
    1907:                                        NULL,
    1908:                                /*104*/ NULL,
    1909:                                        MatRealPart_MPISBAIJ,
    1910:                                        MatImaginaryPart_MPISBAIJ,
    1911:                                        MatGetRowUpperTriangular_MPISBAIJ,
    1912:                                        MatRestoreRowUpperTriangular_MPISBAIJ,
    1913:                                /*109*/ NULL,
    1914:                                        NULL,
    1915:                                        NULL,
    1916:                                        NULL,
    1917:                                        MatMissingDiagonal_MPISBAIJ,
    1918:                                /*114*/ NULL,
    1919:                                        NULL,
    1920:                                        NULL,
    1921:                                        NULL,
    1922:                                        NULL,
    1923:                                /*119*/ NULL,
    1924:                                        NULL,
    1925:                                        NULL,
    1926:                                        NULL,
    1927:                                        NULL,
    1928:                                /*124*/ NULL,
    1929:                                        NULL,
    1930:                                        NULL,
    1931:                                        NULL,
    1932:                                        NULL,
    1933:                                /*129*/ NULL,
    1934:                                        NULL,
    1935:                                        NULL,
    1936:                                        NULL,
    1937:                                        NULL,
    1938:                                /*134*/ NULL,
    1939:                                        NULL,
    1940:                                        NULL,
    1941:                                        NULL,
    1942:                                        NULL,
    1943:                                /*139*/ MatSetBlockSizes_Default,
    1944:                                        NULL,
    1945:                                        NULL,
    1946:                                        NULL,
    1947:                                        NULL,
    1948:                                 /*144*/MatCreateMPIMatConcatenateSeqMat_MPISBAIJ
    1949: };

    1951: PetscErrorCode  MatMPISBAIJSetPreallocation_MPISBAIJ(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt *d_nnz,PetscInt o_nz,const PetscInt *o_nnz)
    1952: {
    1953:   Mat_MPISBAIJ   *b = (Mat_MPISBAIJ*)B->data;
    1955:   PetscInt       i,mbs,Mbs;
    1956:   PetscMPIInt    size;

    1959:   MatSetBlockSize(B,PetscAbs(bs));
    1960:   PetscLayoutSetUp(B->rmap);
    1961:   PetscLayoutSetUp(B->cmap);
    1962:   PetscLayoutGetBlockSize(B->rmap,&bs);
    1963:   if (B->rmap->N > B->cmap->N) SETERRQ2(PetscObjectComm((PetscObject)B),PETSC_ERR_SUP,"MPISBAIJ matrix cannot have more rows %D than columns %D",B->rmap->N,B->cmap->N);
    1964:   if (B->rmap->n > B->cmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_SUP,"MPISBAIJ matrix cannot have more local rows %D than columns %D",B->rmap->n,B->cmap->n);

    1966:   mbs = B->rmap->n/bs;
    1967:   Mbs = B->rmap->N/bs;
    1968:   if (mbs*bs != B->rmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"No of local rows %D must be divisible by blocksize %D",B->rmap->N,bs);

    1970:   B->rmap->bs = bs;
    1971:   b->bs2      = bs*bs;
    1972:   b->mbs      = mbs;
    1973:   b->Mbs      = Mbs;
    1974:   b->nbs      = B->cmap->n/bs;
    1975:   b->Nbs      = B->cmap->N/bs;

    1977:   for (i=0; i<=b->size; i++) {
    1978:     b->rangebs[i] = B->rmap->range[i]/bs;
    1979:   }
    1980:   b->rstartbs = B->rmap->rstart/bs;
    1981:   b->rendbs   = B->rmap->rend/bs;

    1983:   b->cstartbs = B->cmap->rstart/bs;
    1984:   b->cendbs   = B->cmap->rend/bs;

    1986: #if defined(PETSC_USE_CTABLE)
    1987:   PetscTableDestroy(&b->colmap);
    1988: #else
    1989:   PetscFree(b->colmap);
    1990: #endif
    1991:   PetscFree(b->garray);
    1992:   VecDestroy(&b->lvec);
    1993:   VecScatterDestroy(&b->Mvctx);
    1994:   VecDestroy(&b->slvec0);
    1995:   VecDestroy(&b->slvec0b);
    1996:   VecDestroy(&b->slvec1);
    1997:   VecDestroy(&b->slvec1a);
    1998:   VecDestroy(&b->slvec1b);
    1999:   VecScatterDestroy(&b->sMvctx);

    2001:   /* Because the B will have been resized we simply destroy it and create a new one each time */
    2002:   MPI_Comm_size(PetscObjectComm((PetscObject)B),&size);
    2003:   MatDestroy(&b->B);
    2004:   MatCreate(PETSC_COMM_SELF,&b->B);
    2005:   MatSetSizes(b->B,B->rmap->n,size > 1 ? B->cmap->N : 0,B->rmap->n,size > 1 ? B->cmap->N : 0);
    2006:   MatSetType(b->B,MATSEQBAIJ);
    2007:   PetscLogObjectParent((PetscObject)B,(PetscObject)b->B);

    2009:   if (!B->preallocated) {
    2010:     MatCreate(PETSC_COMM_SELF,&b->A);
    2011:     MatSetSizes(b->A,B->rmap->n,B->cmap->n,B->rmap->n,B->cmap->n);
    2012:     MatSetType(b->A,MATSEQSBAIJ);
    2013:     PetscLogObjectParent((PetscObject)B,(PetscObject)b->A);
    2014:     MatStashCreate_Private(PetscObjectComm((PetscObject)B),bs,&B->bstash);
    2015:   }

    2017:   MatSeqSBAIJSetPreallocation(b->A,bs,d_nz,d_nnz);
    2018:   MatSeqBAIJSetPreallocation(b->B,bs,o_nz,o_nnz);

    2020:   B->preallocated  = PETSC_TRUE;
    2021:   B->was_assembled = PETSC_FALSE;
    2022:   B->assembled     = PETSC_FALSE;
    2023:   return(0);
    2024: }

    2026: PetscErrorCode MatMPISBAIJSetPreallocationCSR_MPISBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
    2027: {
    2028:   PetscInt       m,rstart,cend;
    2029:   PetscInt       i,j,d,nz,bd, nz_max=0,*d_nnz=NULL,*o_nnz=NULL;
    2030:   const PetscInt *JJ    =NULL;
    2031:   PetscScalar    *values=NULL;
    2032:   PetscBool      roworiented = ((Mat_MPISBAIJ*)B->data)->roworiented;
    2034:   PetscBool      nooffprocentries;

    2037:   if (bs < 1) SETERRQ1(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive but it is %D",bs);
    2038:   PetscLayoutSetBlockSize(B->rmap,bs);
    2039:   PetscLayoutSetBlockSize(B->cmap,bs);
    2040:   PetscLayoutSetUp(B->rmap);
    2041:   PetscLayoutSetUp(B->cmap);
    2042:   PetscLayoutGetBlockSize(B->rmap,&bs);
    2043:   m      = B->rmap->n/bs;
    2044:   rstart = B->rmap->rstart/bs;
    2045:   cend   = B->cmap->rend/bs;

    2047:   if (ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"ii[0] must be 0 but it is %D",ii[0]);
    2048:   PetscMalloc2(m,&d_nnz,m,&o_nnz);
    2049:   for (i=0; i<m; i++) {
    2050:     nz = ii[i+1] - ii[i];
    2051:     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Local row %D has a negative number of columns %D",i,nz);
    2052:     /* count the ones on the diagonal and above, split into diagonal and off diagonal portions. */
    2053:     JJ     = jj + ii[i];
    2054:     bd     = 0;
    2055:     for (j=0; j<nz; j++) {
    2056:       if (*JJ >= i + rstart) break;
    2057:       JJ++;
    2058:       bd++;
    2059:     }
    2060:     d  = 0;
    2061:     for (; j<nz; j++) {
    2062:       if (*JJ++ >= cend) break;
    2063:       d++;
    2064:     }
    2065:     d_nnz[i] = d;
    2066:     o_nnz[i] = nz - d - bd;
    2067:     nz       = nz - bd;
    2068:     nz_max = PetscMax(nz_max,nz);
    2069:   }
    2070:   MatMPISBAIJSetPreallocation(B,bs,0,d_nnz,0,o_nnz);
    2071:   MatSetOption(B,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE);
    2072:   PetscFree2(d_nnz,o_nnz);

    2074:   values = (PetscScalar*)V;
    2075:   if (!values) {
    2076:     PetscCalloc1(bs*bs*nz_max,&values);
    2077:   }
    2078:   for (i=0; i<m; i++) {
    2079:     PetscInt          row    = i + rstart;
    2080:     PetscInt          ncols  = ii[i+1] - ii[i];
    2081:     const PetscInt    *icols = jj + ii[i];
    2082:     if (bs == 1 || !roworiented) {         /* block ordering matches the non-nested layout of MatSetValues so we can insert entire rows */
    2083:       const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
    2084:       MatSetValuesBlocked_MPISBAIJ(B,1,&row,ncols,icols,svals,INSERT_VALUES);
    2085:     } else {                    /* block ordering does not match so we can only insert one block at a time. */
    2086:       PetscInt j;
    2087:       for (j=0; j<ncols; j++) {
    2088:         const PetscScalar *svals = values + (V ? (bs*bs*(ii[i]+j)) : 0);
    2089:         MatSetValuesBlocked_MPISBAIJ(B,1,&row,1,&icols[j],svals,INSERT_VALUES);
    2090:       }
    2091:     }
    2092:   }

    2094:   if (!V) { PetscFree(values); }
    2095:   nooffprocentries    = B->nooffprocentries;
    2096:   B->nooffprocentries = PETSC_TRUE;
    2097:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
    2098:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
    2099:   B->nooffprocentries = nooffprocentries;

    2101:   MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);
    2102:   return(0);
    2103: }

    2105: /*MC
    2106:    MATMPISBAIJ - MATMPISBAIJ = "mpisbaij" - A matrix type to be used for distributed symmetric sparse block matrices,
    2107:    based on block compressed sparse row format.  Only the upper triangular portion of the "diagonal" portion of
    2108:    the matrix is stored.

    2110:    For complex numbers by default this matrix is symmetric, NOT Hermitian symmetric. To make it Hermitian symmetric you
    2111:    can call MatSetOption(Mat, MAT_HERMITIAN);

    2113:    Options Database Keys:
    2114: . -mat_type mpisbaij - sets the matrix type to "mpisbaij" during a call to MatSetFromOptions()

    2116:    Notes:
    2117:      The number of rows in the matrix must be less than or equal to the number of columns. Similarly the number of rows in the
    2118:      diagonal portion of the matrix of each process has to less than or equal the number of columns.

    2120:    Level: beginner

    2122: .seealso: MatCreateBAIJ(), MATSEQSBAIJ, MatType
    2123: M*/

    2125: PETSC_EXTERN PetscErrorCode MatCreate_MPISBAIJ(Mat B)
    2126: {
    2127:   Mat_MPISBAIJ   *b;
    2129:   PetscBool      flg = PETSC_FALSE;

    2132:   PetscNewLog(B,&b);
    2133:   B->data = (void*)b;
    2134:   PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));

    2136:   B->ops->destroy = MatDestroy_MPISBAIJ;
    2137:   B->ops->view    = MatView_MPISBAIJ;
    2138:   B->assembled    = PETSC_FALSE;
    2139:   B->insertmode   = NOT_SET_VALUES;

    2141:   MPI_Comm_rank(PetscObjectComm((PetscObject)B),&b->rank);
    2142:   MPI_Comm_size(PetscObjectComm((PetscObject)B),&b->size);

    2144:   /* build local table of row and column ownerships */
    2145:   PetscMalloc1(b->size+2,&b->rangebs);

    2147:   /* build cache for off array entries formed */
    2148:   MatStashCreate_Private(PetscObjectComm((PetscObject)B),1,&B->stash);

    2150:   b->donotstash  = PETSC_FALSE;
    2151:   b->colmap      = NULL;
    2152:   b->garray      = NULL;
    2153:   b->roworiented = PETSC_TRUE;

    2155:   /* stuff used in block assembly */
    2156:   b->barray = NULL;

    2158:   /* stuff used for matrix vector multiply */
    2159:   b->lvec    = NULL;
    2160:   b->Mvctx   = NULL;
    2161:   b->slvec0  = NULL;
    2162:   b->slvec0b = NULL;
    2163:   b->slvec1  = NULL;
    2164:   b->slvec1a = NULL;
    2165:   b->slvec1b = NULL;
    2166:   b->sMvctx  = NULL;

    2168:   /* stuff for MatGetRow() */
    2169:   b->rowindices   = NULL;
    2170:   b->rowvalues    = NULL;
    2171:   b->getrowactive = PETSC_FALSE;

    2173:   /* hash table stuff */
    2174:   b->ht           = NULL;
    2175:   b->hd           = NULL;
    2176:   b->ht_size      = 0;
    2177:   b->ht_flag      = PETSC_FALSE;
    2178:   b->ht_fact      = 0;
    2179:   b->ht_total_ct  = 0;
    2180:   b->ht_insert_ct = 0;

    2182:   /* stuff for MatCreateSubMatrices_MPIBAIJ_local() */
    2183:   b->ijonly = PETSC_FALSE;

    2185:   b->in_loc = NULL;
    2186:   b->v_loc  = NULL;
    2187:   b->n_loc  = 0;

    2189:   PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_MPISBAIJ);
    2190:   PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_MPISBAIJ);
    2191:   PetscObjectComposeFunction((PetscObject)B,"MatMPISBAIJSetPreallocation_C",MatMPISBAIJSetPreallocation_MPISBAIJ);
    2192:   PetscObjectComposeFunction((PetscObject)B,"MatMPISBAIJSetPreallocationCSR_C",MatMPISBAIJSetPreallocationCSR_MPISBAIJ);
    2193: #if defined(PETSC_HAVE_ELEMENTAL)
    2194:   PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpisbaij_elemental_C",MatConvert_MPISBAIJ_Elemental);
    2195: #endif
    2196: #if defined(PETSC_HAVE_SCALAPACK)
    2197:   PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpisbaij_scalapack_C",MatConvert_SBAIJ_ScaLAPACK);
    2198: #endif
    2199:   PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpisbaij_mpiaij_C",MatConvert_MPISBAIJ_Basic);
    2200:   PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpisbaij_mpibaij_C",MatConvert_MPISBAIJ_Basic);

    2202:   B->symmetric                  = PETSC_TRUE;
    2203:   B->structurally_symmetric     = PETSC_TRUE;
    2204:   B->symmetric_set              = PETSC_TRUE;
    2205:   B->structurally_symmetric_set = PETSC_TRUE;
    2206:   B->symmetric_eternal          = PETSC_TRUE;
    2207: #if defined(PETSC_USE_COMPLEX)
    2208:   B->hermitian                  = PETSC_FALSE;
    2209:   B->hermitian_set              = PETSC_FALSE;
    2210: #else
    2211:   B->hermitian                  = PETSC_TRUE;
    2212:   B->hermitian_set              = PETSC_TRUE;
    2213: #endif

    2215:   PetscObjectChangeTypeName((PetscObject)B,MATMPISBAIJ);
    2216:   PetscOptionsBegin(PetscObjectComm((PetscObject)B),NULL,"Options for loading MPISBAIJ matrix 1","Mat");
    2217:   PetscOptionsBool("-mat_use_hash_table","Use hash table to save memory in constructing matrix","MatSetOption",flg,&flg,NULL);
    2218:   if (flg) {
    2219:     PetscReal fact = 1.39;
    2220:     MatSetOption(B,MAT_USE_HASH_TABLE,PETSC_TRUE);
    2221:     PetscOptionsReal("-mat_use_hash_table","Use hash table factor","MatMPIBAIJSetHashTableFactor",fact,&fact,NULL);
    2222:     if (fact <= 1.0) fact = 1.39;
    2223:     MatMPIBAIJSetHashTableFactor(B,fact);
    2224:     PetscInfo1(B,"Hash table Factor used %5.2f\n",fact);
    2225:   }
    2226:   PetscOptionsEnd();
    2227:   return(0);
    2228: }

    2230: /*MC
    2231:    MATSBAIJ - MATSBAIJ = "sbaij" - A matrix type to be used for symmetric block sparse matrices.

    2233:    This matrix type is identical to MATSEQSBAIJ when constructed with a single process communicator,
    2234:    and MATMPISBAIJ otherwise.

    2236:    Options Database Keys:
    2237: . -mat_type sbaij - sets the matrix type to "sbaij" during a call to MatSetFromOptions()

    2239:   Level: beginner

    2241: .seealso: MatCreateSBAIJ, MATSEQSBAIJ, MATMPISBAIJ
    2242: M*/

    2244: /*@C
    2245:    MatMPISBAIJSetPreallocation - For good matrix assembly performance
    2246:    the user should preallocate the matrix storage by setting the parameters
    2247:    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
    2248:    performance can be increased by more than a factor of 50.

    2250:    Collective on Mat

    2252:    Input Parameters:
    2253: +  B - the matrix
    2254: .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
    2255:           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
    2256: .  d_nz  - number of block nonzeros per block row in diagonal portion of local
    2257:            submatrix  (same for all local rows)
    2258: .  d_nnz - array containing the number of block nonzeros in the various block rows
    2259:            in the upper triangular and diagonal part of the in diagonal portion of the local
    2260:            (possibly different for each block row) or NULL.  If you plan to factor the matrix you must leave room
    2261:            for the diagonal entry and set a value even if it is zero.
    2262: .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
    2263:            submatrix (same for all local rows).
    2264: -  o_nnz - array containing the number of nonzeros in the various block rows of the
    2265:            off-diagonal portion of the local submatrix that is right of the diagonal
    2266:            (possibly different for each block row) or NULL.

    2269:    Options Database Keys:
    2270: +   -mat_no_unroll - uses code that does not unroll the loops in the
    2271:                      block calculations (much slower)
    2272: -   -mat_block_size - size of the blocks to use

    2274:    Notes:

    2276:    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
    2277:    than it must be used on all processors that share the object for that argument.

    2279:    If the *_nnz parameter is given then the *_nz parameter is ignored

    2281:    Storage Information:
    2282:    For a square global matrix we define each processor's diagonal portion
    2283:    to be its local rows and the corresponding columns (a square submatrix);
    2284:    each processor's off-diagonal portion encompasses the remainder of the
    2285:    local matrix (a rectangular submatrix).

    2287:    The user can specify preallocated storage for the diagonal part of
    2288:    the local submatrix with either d_nz or d_nnz (not both).  Set
    2289:    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
    2290:    memory allocation.  Likewise, specify preallocated storage for the
    2291:    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).

    2293:    You can call MatGetInfo() to get information on how effective the preallocation was;
    2294:    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
    2295:    You can also run with the option -info and look for messages with the string
    2296:    malloc in them to see if additional memory allocation was needed.

    2298:    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
    2299:    the figure below we depict these three local rows and all columns (0-11).

    2301: .vb
    2302:            0 1 2 3 4 5 6 7 8 9 10 11
    2303:           --------------------------
    2304:    row 3  |. . . d d d o o o o  o  o
    2305:    row 4  |. . . d d d o o o o  o  o
    2306:    row 5  |. . . d d d o o o o  o  o
    2307:           --------------------------
    2308: .ve

    2310:    Thus, any entries in the d locations are stored in the d (diagonal)
    2311:    submatrix, and any entries in the o locations are stored in the
    2312:    o (off-diagonal) submatrix.  Note that the d matrix is stored in
    2313:    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.

    2315:    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
    2316:    plus the diagonal part of the d matrix,
    2317:    and o_nz should indicate the number of block nonzeros per row in the o matrix

    2319:    In general, for PDE problems in which most nonzeros are near the diagonal,
    2320:    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
    2321:    or you will get TERRIBLE performance; see the users' manual chapter on
    2322:    matrices.

    2324:    Level: intermediate

    2326: .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateBAIJ(), PetscSplitOwnership()
    2327: @*/
    2328: PetscErrorCode  MatMPISBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
    2329: {

    2336:   PetscTryMethod(B,"MatMPISBAIJSetPreallocation_C",(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]),(B,bs,d_nz,d_nnz,o_nz,o_nnz));
    2337:   return(0);
    2338: }

    2340: /*@C
    2341:    MatCreateSBAIJ - Creates a sparse parallel matrix in symmetric block AIJ format
    2342:    (block compressed row).  For good matrix assembly performance
    2343:    the user should preallocate the matrix storage by setting the parameters
    2344:    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
    2345:    performance can be increased by more than a factor of 50.

    2347:    Collective

    2349:    Input Parameters:
    2350: +  comm - MPI communicator
    2351: .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
    2352:           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
    2353: .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
    2354:            This value should be the same as the local size used in creating the
    2355:            y vector for the matrix-vector product y = Ax.
    2356: .  n - number of local columns (or PETSC_DECIDE to have calculated if N is given)
    2357:            This value should be the same as the local size used in creating the
    2358:            x vector for the matrix-vector product y = Ax.
    2359: .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
    2360: .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
    2361: .  d_nz  - number of block nonzeros per block row in diagonal portion of local
    2362:            submatrix  (same for all local rows)
    2363: .  d_nnz - array containing the number of block nonzeros in the various block rows
    2364:            in the upper triangular portion of the in diagonal portion of the local
    2365:            (possibly different for each block block row) or NULL.
    2366:            If you plan to factor the matrix you must leave room for the diagonal entry and
    2367:            set its value even if it is zero.
    2368: .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
    2369:            submatrix (same for all local rows).
    2370: -  o_nnz - array containing the number of nonzeros in the various block rows of the
    2371:            off-diagonal portion of the local submatrix (possibly different for
    2372:            each block row) or NULL.

    2374:    Output Parameter:
    2375: .  A - the matrix

    2377:    Options Database Keys:
    2378: +   -mat_no_unroll - uses code that does not unroll the loops in the
    2379:                      block calculations (much slower)
    2380: .   -mat_block_size - size of the blocks to use
    2381: -   -mat_mpi - use the parallel matrix data structures even on one processor
    2382:                (defaults to using SeqBAIJ format on one processor)

    2384:    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
    2385:    MatXXXXSetPreallocation() paradigm instead of this routine directly.
    2386:    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]

    2388:    Notes:
    2389:    The number of rows and columns must be divisible by blocksize.
    2390:    This matrix type does not support complex Hermitian operation.

    2392:    The user MUST specify either the local or global matrix dimensions
    2393:    (possibly both).

    2395:    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
    2396:    than it must be used on all processors that share the object for that argument.

    2398:    If the *_nnz parameter is given then the *_nz parameter is ignored

    2400:    Storage Information:
    2401:    For a square global matrix we define each processor's diagonal portion
    2402:    to be its local rows and the corresponding columns (a square submatrix);
    2403:    each processor's off-diagonal portion encompasses the remainder of the
    2404:    local matrix (a rectangular submatrix).

    2406:    The user can specify preallocated storage for the diagonal part of
    2407:    the local submatrix with either d_nz or d_nnz (not both).  Set
    2408:    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
    2409:    memory allocation.  Likewise, specify preallocated storage for the
    2410:    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).

    2412:    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
    2413:    the figure below we depict these three local rows and all columns (0-11).

    2415: .vb
    2416:            0 1 2 3 4 5 6 7 8 9 10 11
    2417:           --------------------------
    2418:    row 3  |. . . d d d o o o o  o  o
    2419:    row 4  |. . . d d d o o o o  o  o
    2420:    row 5  |. . . d d d o o o o  o  o
    2421:           --------------------------
    2422: .ve

    2424:    Thus, any entries in the d locations are stored in the d (diagonal)
    2425:    submatrix, and any entries in the o locations are stored in the
    2426:    o (off-diagonal) submatrix.  Note that the d matrix is stored in
    2427:    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.

    2429:    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
    2430:    plus the diagonal part of the d matrix,
    2431:    and o_nz should indicate the number of block nonzeros per row in the o matrix.
    2432:    In general, for PDE problems in which most nonzeros are near the diagonal,
    2433:    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
    2434:    or you will get TERRIBLE performance; see the users' manual chapter on
    2435:    matrices.

    2437:    Level: intermediate

    2439: .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateBAIJ()
    2440: @*/

    2442: PetscErrorCode  MatCreateSBAIJ(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[],Mat *A)
    2443: {
    2445:   PetscMPIInt    size;

    2448:   MatCreate(comm,A);
    2449:   MatSetSizes(*A,m,n,M,N);
    2450:   MPI_Comm_size(comm,&size);
    2451:   if (size > 1) {
    2452:     MatSetType(*A,MATMPISBAIJ);
    2453:     MatMPISBAIJSetPreallocation(*A,bs,d_nz,d_nnz,o_nz,o_nnz);
    2454:   } else {
    2455:     MatSetType(*A,MATSEQSBAIJ);
    2456:     MatSeqSBAIJSetPreallocation(*A,bs,d_nz,d_nnz);
    2457:   }
    2458:   return(0);
    2459: }

    2462: static PetscErrorCode MatDuplicate_MPISBAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
    2463: {
    2464:   Mat            mat;
    2465:   Mat_MPISBAIJ   *a,*oldmat = (Mat_MPISBAIJ*)matin->data;
    2467:   PetscInt       len=0,nt,bs=matin->rmap->bs,mbs=oldmat->mbs;
    2468:   PetscScalar    *array;

    2471:   *newmat = NULL;

    2473:   MatCreate(PetscObjectComm((PetscObject)matin),&mat);
    2474:   MatSetSizes(mat,matin->rmap->n,matin->cmap->n,matin->rmap->N,matin->cmap->N);
    2475:   MatSetType(mat,((PetscObject)matin)->type_name);
    2476:   PetscLayoutReference(matin->rmap,&mat->rmap);
    2477:   PetscLayoutReference(matin->cmap,&mat->cmap);

    2479:   mat->factortype   = matin->factortype;
    2480:   mat->preallocated = PETSC_TRUE;
    2481:   mat->assembled    = PETSC_TRUE;
    2482:   mat->insertmode   = NOT_SET_VALUES;

    2484:   a      = (Mat_MPISBAIJ*)mat->data;
    2485:   a->bs2 = oldmat->bs2;
    2486:   a->mbs = oldmat->mbs;
    2487:   a->nbs = oldmat->nbs;
    2488:   a->Mbs = oldmat->Mbs;
    2489:   a->Nbs = oldmat->Nbs;

    2491:   a->size         = oldmat->size;
    2492:   a->rank         = oldmat->rank;
    2493:   a->donotstash   = oldmat->donotstash;
    2494:   a->roworiented  = oldmat->roworiented;
    2495:   a->rowindices   = NULL;
    2496:   a->rowvalues    = NULL;
    2497:   a->getrowactive = PETSC_FALSE;
    2498:   a->barray       = NULL;
    2499:   a->rstartbs     = oldmat->rstartbs;
    2500:   a->rendbs       = oldmat->rendbs;
    2501:   a->cstartbs     = oldmat->cstartbs;
    2502:   a->cendbs       = oldmat->cendbs;

    2504:   /* hash table stuff */
    2505:   a->ht           = NULL;
    2506:   a->hd           = NULL;
    2507:   a->ht_size      = 0;
    2508:   a->ht_flag      = oldmat->ht_flag;
    2509:   a->ht_fact      = oldmat->ht_fact;
    2510:   a->ht_total_ct  = 0;
    2511:   a->ht_insert_ct = 0;

    2513:   PetscArraycpy(a->rangebs,oldmat->rangebs,a->size+2);
    2514:   if (oldmat->colmap) {
    2515: #if defined(PETSC_USE_CTABLE)
    2516:     PetscTableCreateCopy(oldmat->colmap,&a->colmap);
    2517: #else
    2518:     PetscMalloc1(a->Nbs,&a->colmap);
    2519:     PetscLogObjectMemory((PetscObject)mat,(a->Nbs)*sizeof(PetscInt));
    2520:     PetscArraycpy(a->colmap,oldmat->colmap,a->Nbs);
    2521: #endif
    2522:   } else a->colmap = NULL;

    2524:   if (oldmat->garray && (len = ((Mat_SeqBAIJ*)(oldmat->B->data))->nbs)) {
    2525:     PetscMalloc1(len,&a->garray);
    2526:     PetscLogObjectMemory((PetscObject)mat,len*sizeof(PetscInt));
    2527:     PetscArraycpy(a->garray,oldmat->garray,len);
    2528:   } else a->garray = NULL;

    2530:   MatStashCreate_Private(PetscObjectComm((PetscObject)matin),matin->rmap->bs,&mat->bstash);
    2531:   VecDuplicate(oldmat->lvec,&a->lvec);
    2532:   PetscLogObjectParent((PetscObject)mat,(PetscObject)a->lvec);
    2533:   VecScatterCopy(oldmat->Mvctx,&a->Mvctx);
    2534:   PetscLogObjectParent((PetscObject)mat,(PetscObject)a->Mvctx);

    2536:   VecDuplicate(oldmat->slvec0,&a->slvec0);
    2537:   PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0);
    2538:   VecDuplicate(oldmat->slvec1,&a->slvec1);
    2539:   PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1);

    2541:   VecGetLocalSize(a->slvec1,&nt);
    2542:   VecGetArray(a->slvec1,&array);
    2543:   VecCreateSeqWithArray(PETSC_COMM_SELF,1,bs*mbs,array,&a->slvec1a);
    2544:   VecCreateSeqWithArray(PETSC_COMM_SELF,1,nt-bs*mbs,array+bs*mbs,&a->slvec1b);
    2545:   VecRestoreArray(a->slvec1,&array);
    2546:   VecGetArray(a->slvec0,&array);
    2547:   VecCreateSeqWithArray(PETSC_COMM_SELF,1,nt-bs*mbs,array+bs*mbs,&a->slvec0b);
    2548:   VecRestoreArray(a->slvec0,&array);
    2549:   PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0);
    2550:   PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1);
    2551:   PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0b);
    2552:   PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1a);
    2553:   PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1b);

    2555:   /*  VecScatterCopy(oldmat->sMvctx,&a->sMvctx); - not written yet, replaced by the lazy trick: */
    2556:   PetscObjectReference((PetscObject)oldmat->sMvctx);
    2557:   a->sMvctx = oldmat->sMvctx;
    2558:   PetscLogObjectParent((PetscObject)mat,(PetscObject)a->sMvctx);

    2560:   MatDuplicate(oldmat->A,cpvalues,&a->A);
    2561:   PetscLogObjectParent((PetscObject)mat,(PetscObject)a->A);
    2562:   MatDuplicate(oldmat->B,cpvalues,&a->B);
    2563:   PetscLogObjectParent((PetscObject)mat,(PetscObject)a->B);
    2564:   PetscFunctionListDuplicate(((PetscObject)matin)->qlist,&((PetscObject)mat)->qlist);
    2565:   *newmat = mat;
    2566:   return(0);
    2567: }

    2569: /* Used for both MPIBAIJ and MPISBAIJ matrices */
    2570: #define MatLoad_MPISBAIJ_Binary MatLoad_MPIBAIJ_Binary

    2572: PetscErrorCode MatLoad_MPISBAIJ(Mat mat,PetscViewer viewer)
    2573: {
    2575:   PetscBool      isbinary;

    2578:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);
    2579:   if (!isbinary) SETERRQ2(PetscObjectComm((PetscObject)viewer),PETSC_ERR_SUP,"Viewer type %s not yet supported for reading %s matrices",((PetscObject)viewer)->type_name,((PetscObject)mat)->type_name);
    2580:   MatLoad_MPISBAIJ_Binary(mat,viewer);
    2581:   return(0);
    2582: }

    2584: /*XXXXX@
    2585:    MatMPISBAIJSetHashTableFactor - Sets the factor required to compute the size of the HashTable.

    2587:    Input Parameters:
    2588: .  mat  - the matrix
    2589: .  fact - factor

    2591:    Not Collective on Mat, each process can have a different hash factor

    2593:    Level: advanced

    2595:   Notes:
    2596:    This can also be set by the command line option: -mat_use_hash_table fact

    2598: .seealso: MatSetOption()
    2599: @XXXXX*/

    2602: PetscErrorCode MatGetRowMaxAbs_MPISBAIJ(Mat A,Vec v,PetscInt idx[])
    2603: {
    2604:   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
    2605:   Mat_SeqBAIJ    *b = (Mat_SeqBAIJ*)(a->B)->data;
    2606:   PetscReal      atmp;
    2607:   PetscReal      *work,*svalues,*rvalues;
    2609:   PetscInt       i,bs,mbs,*bi,*bj,brow,j,ncols,krow,kcol,col,row,Mbs,bcol;
    2610:   PetscMPIInt    rank,size;
    2611:   PetscInt       *rowners_bs,dest,count,source;
    2612:   PetscScalar    *va;
    2613:   MatScalar      *ba;
    2614:   MPI_Status     stat;

    2617:   if (idx) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Send email to petsc-maint@mcs.anl.gov");
    2618:   MatGetRowMaxAbs(a->A,v,NULL);
    2619:   VecGetArray(v,&va);

    2621:   MPI_Comm_size(PetscObjectComm((PetscObject)A),&size);
    2622:   MPI_Comm_rank(PetscObjectComm((PetscObject)A),&rank);

    2624:   bs  = A->rmap->bs;
    2625:   mbs = a->mbs;
    2626:   Mbs = a->Mbs;
    2627:   ba  = b->a;
    2628:   bi  = b->i;
    2629:   bj  = b->j;

    2631:   /* find ownerships */
    2632:   rowners_bs = A->rmap->range;

    2634:   /* each proc creates an array to be distributed */
    2635:   PetscCalloc1(bs*Mbs,&work);

    2637:   /* row_max for B */
    2638:   if (rank != size-1) {
    2639:     for (i=0; i<mbs; i++) {
    2640:       ncols = bi[1] - bi[0]; bi++;
    2641:       brow  = bs*i;
    2642:       for (j=0; j<ncols; j++) {
    2643:         bcol = bs*(*bj);
    2644:         for (kcol=0; kcol<bs; kcol++) {
    2645:           col  = bcol + kcol;                /* local col index */
    2646:           col += rowners_bs[rank+1];      /* global col index */
    2647:           for (krow=0; krow<bs; krow++) {
    2648:             atmp = PetscAbsScalar(*ba); ba++;
    2649:             row  = brow + krow;   /* local row index */
    2650:             if (PetscRealPart(va[row]) < atmp) va[row] = atmp;
    2651:             if (work[col] < atmp) work[col] = atmp;
    2652:           }
    2653:         }
    2654:         bj++;
    2655:       }
    2656:     }

    2658:     /* send values to its owners */
    2659:     for (dest=rank+1; dest<size; dest++) {
    2660:       svalues = work + rowners_bs[dest];
    2661:       count   = rowners_bs[dest+1]-rowners_bs[dest];
    2662:       MPI_Send(svalues,count,MPIU_REAL,dest,rank,PetscObjectComm((PetscObject)A));
    2663:     }
    2664:   }

    2666:   /* receive values */
    2667:   if (rank) {
    2668:     rvalues = work;
    2669:     count   = rowners_bs[rank+1]-rowners_bs[rank];
    2670:     for (source=0; source<rank; source++) {
    2671:       MPI_Recv(rvalues,count,MPIU_REAL,MPI_ANY_SOURCE,MPI_ANY_TAG,PetscObjectComm((PetscObject)A),&stat);
    2672:       /* process values */
    2673:       for (i=0; i<count; i++) {
    2674:         if (PetscRealPart(va[i]) < rvalues[i]) va[i] = rvalues[i];
    2675:       }
    2676:     }
    2677:   }

    2679:   VecRestoreArray(v,&va);
    2680:   PetscFree(work);
    2681:   return(0);
    2682: }

    2684: PetscErrorCode MatSOR_MPISBAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
    2685: {
    2686:   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)matin->data;
    2687:   PetscErrorCode    ierr;
    2688:   PetscInt          mbs=mat->mbs,bs=matin->rmap->bs;
    2689:   PetscScalar       *x,*ptr,*from;
    2690:   Vec               bb1;
    2691:   const PetscScalar *b;

    2694:   if (its <= 0 || lits <= 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
    2695:   if (bs > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");

    2697:   if (flag == SOR_APPLY_UPPER) {
    2698:     (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);
    2699:     return(0);
    2700:   }

    2702:   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
    2703:     if (flag & SOR_ZERO_INITIAL_GUESS) {
    2704:       (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,lits,xx);
    2705:       its--;
    2706:     }

    2708:     VecDuplicate(bb,&bb1);
    2709:     while (its--) {

    2711:       /* lower triangular part: slvec0b = - B^T*xx */
    2712:       (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);

    2714:       /* copy xx into slvec0a */
    2715:       VecGetArray(mat->slvec0,&ptr);
    2716:       VecGetArray(xx,&x);
    2717:       PetscArraycpy(ptr,x,bs*mbs);
    2718:       VecRestoreArray(mat->slvec0,&ptr);

    2720:       VecScale(mat->slvec0,-1.0);

    2722:       /* copy bb into slvec1a */
    2723:       VecGetArray(mat->slvec1,&ptr);
    2724:       VecGetArrayRead(bb,&b);
    2725:       PetscArraycpy(ptr,b,bs*mbs);
    2726:       VecRestoreArray(mat->slvec1,&ptr);

    2728:       /* set slvec1b = 0 */
    2729:       VecSet(mat->slvec1b,0.0);

    2731:       VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);
    2732:       VecRestoreArray(xx,&x);
    2733:       VecRestoreArrayRead(bb,&b);
    2734:       VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);

    2736:       /* upper triangular part: bb1 = bb1 - B*x */
    2737:       (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,bb1);

    2739:       /* local diagonal sweep */
    2740:       (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);
    2741:     }
    2742:     VecDestroy(&bb1);
    2743:   } else if ((flag & SOR_LOCAL_FORWARD_SWEEP) && (its == 1) && (flag & SOR_ZERO_INITIAL_GUESS)) {
    2744:     (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);
    2745:   } else if ((flag & SOR_LOCAL_BACKWARD_SWEEP) && (its == 1) && (flag & SOR_ZERO_INITIAL_GUESS)) {
    2746:     (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);
    2747:   } else if (flag & SOR_EISENSTAT) {
    2748:     Vec               xx1;
    2749:     PetscBool         hasop;
    2750:     const PetscScalar *diag;
    2751:     PetscScalar       *sl,scale = (omega - 2.0)/omega;
    2752:     PetscInt          i,n;

    2754:     if (!mat->xx1) {
    2755:       VecDuplicate(bb,&mat->xx1);
    2756:       VecDuplicate(bb,&mat->bb1);
    2757:     }
    2758:     xx1 = mat->xx1;
    2759:     bb1 = mat->bb1;

    2761:     (*mat->A->ops->sor)(mat->A,bb,omega,(MatSORType)(SOR_ZERO_INITIAL_GUESS | SOR_LOCAL_BACKWARD_SWEEP),fshift,lits,1,xx);

    2763:     if (!mat->diag) {
    2764:       /* this is wrong for same matrix with new nonzero values */
    2765:       MatCreateVecs(matin,&mat->diag,NULL);
    2766:       MatGetDiagonal(matin,mat->diag);
    2767:     }
    2768:     MatHasOperation(matin,MATOP_MULT_DIAGONAL_BLOCK,&hasop);

    2770:     if (hasop) {
    2771:       MatMultDiagonalBlock(matin,xx,bb1);
    2772:       VecAYPX(mat->slvec1a,scale,bb);
    2773:     } else {
    2774:       /*
    2775:           These two lines are replaced by code that may be a bit faster for a good compiler
    2776:       VecPointwiseMult(mat->slvec1a,mat->diag,xx);
    2777:       VecAYPX(mat->slvec1a,scale,bb);
    2778:       */
    2779:       VecGetArray(mat->slvec1a,&sl);
    2780:       VecGetArrayRead(mat->diag,&diag);
    2781:       VecGetArrayRead(bb,&b);
    2782:       VecGetArray(xx,&x);
    2783:       VecGetLocalSize(xx,&n);
    2784:       if (omega == 1.0) {
    2785:         for (i=0; i<n; i++) sl[i] = b[i] - diag[i]*x[i];
    2786:         PetscLogFlops(2.0*n);
    2787:       } else {
    2788:         for (i=0; i<n; i++) sl[i] = b[i] + scale*diag[i]*x[i];
    2789:         PetscLogFlops(3.0*n);
    2790:       }
    2791:       VecRestoreArray(mat->slvec1a,&sl);
    2792:       VecRestoreArrayRead(mat->diag,&diag);
    2793:       VecRestoreArrayRead(bb,&b);
    2794:       VecRestoreArray(xx,&x);
    2795:     }

    2797:     /* multiply off-diagonal portion of matrix */
    2798:     VecSet(mat->slvec1b,0.0);
    2799:     (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);
    2800:     VecGetArray(mat->slvec0,&from);
    2801:     VecGetArray(xx,&x);
    2802:     PetscArraycpy(from,x,bs*mbs);
    2803:     VecRestoreArray(mat->slvec0,&from);
    2804:     VecRestoreArray(xx,&x);
    2805:     VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);
    2806:     VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);
    2807:     (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,mat->slvec1a);

    2809:     /* local sweep */
    2810:     (*mat->A->ops->sor)(mat->A,mat->slvec1a,omega,(MatSORType)(SOR_ZERO_INITIAL_GUESS | SOR_LOCAL_FORWARD_SWEEP),fshift,lits,1,xx1);
    2811:     VecAXPY(xx,1.0,xx1);
    2812:   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
    2813:   return(0);
    2814: }

    2816: /*@
    2817:      MatCreateMPISBAIJWithArrays - creates a MPI SBAIJ matrix using arrays that contain in standard
    2818:          CSR format the local rows.

    2820:    Collective

    2822:    Input Parameters:
    2823: +  comm - MPI communicator
    2824: .  bs - the block size, only a block size of 1 is supported
    2825: .  m - number of local rows (Cannot be PETSC_DECIDE)
    2826: .  n - This value should be the same as the local size used in creating the
    2827:        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
    2828:        calculated if N is given) For square matrices n is almost always m.
    2829: .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
    2830: .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
    2831: .   i - row indices; that is i[0] = 0, i[row] = i[row-1] + number of block elements in that row block row of the matrix
    2832: .   j - column indices
    2833: -   a - matrix values

    2835:    Output Parameter:
    2836: .   mat - the matrix

    2838:    Level: intermediate

    2840:    Notes:
    2841:        The i, j, and a arrays ARE copied by this routine into the internal format used by PETSc;
    2842:      thus you CANNOT change the matrix entries by changing the values of a[] after you have
    2843:      called this routine. Use MatCreateMPIAIJWithSplitArrays() to avoid needing to copy the arrays.

    2845:        The i and j indices are 0 based, and i indices are indices corresponding to the local j array.

    2847: .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
    2848:           MPIAIJ, MatCreateAIJ(), MatCreateMPIAIJWithSplitArrays()
    2849: @*/
    2850: PetscErrorCode  MatCreateMPISBAIJWithArrays(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt i[],const PetscInt j[],const PetscScalar a[],Mat *mat)
    2851: {

    2856:   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
    2857:   if (m < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"local number of rows (m) cannot be PETSC_DECIDE, or negative");
    2858:   MatCreate(comm,mat);
    2859:   MatSetSizes(*mat,m,n,M,N);
    2860:   MatSetType(*mat,MATMPISBAIJ);
    2861:   MatMPISBAIJSetPreallocationCSR(*mat,bs,i,j,a);
    2862:   return(0);
    2863: }

    2866: /*@C
    2867:    MatMPISBAIJSetPreallocationCSR - Creates a sparse parallel matrix in SBAIJ format using the given nonzero structure and (optional) numerical values

    2869:    Collective

    2871:    Input Parameters:
    2872: +  B - the matrix
    2873: .  bs - the block size
    2874: .  i - the indices into j for the start of each local row (starts with zero)
    2875: .  j - the column indices for each local row (starts with zero) these must be sorted for each row
    2876: -  v - optional values in the matrix

    2878:    Level: advanced

    2880:    Notes:
    2881:    Though this routine has Preallocation() in the name it also sets the exact nonzero locations of the matrix entries
    2882:    and usually the numerical values as well

    2884:    Any entries below the diagonal are ignored

    2886: .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIBAIJSetPreallocation(), MatCreateAIJ(), MPIAIJ
    2887: @*/
    2888: PetscErrorCode  MatMPISBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
    2889: {

    2893:   PetscTryMethod(B,"MatMPISBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));
    2894:   return(0);
    2895: }

    2897: PetscErrorCode MatCreateMPIMatConcatenateSeqMat_MPISBAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
    2898: {
    2900:   PetscInt       m,N,i,rstart,nnz,Ii,bs,cbs;
    2901:   PetscInt       *indx;
    2902:   PetscScalar    *values;

    2905:   MatGetSize(inmat,&m,&N);
    2906:   if (scall == MAT_INITIAL_MATRIX) { /* symbolic phase */
    2907:     Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)inmat->data;
    2908:     PetscInt       *dnz,*onz,mbs,Nbs,nbs;
    2909:     PetscInt       *bindx,rmax=a->rmax,j;
    2910:     PetscMPIInt    rank,size;

    2912:     MatGetBlockSizes(inmat,&bs,&cbs);
    2913:     mbs = m/bs; Nbs = N/cbs;
    2914:     if (n == PETSC_DECIDE) {
    2915:       PetscSplitOwnershipBlock(comm,cbs,&n,&N);
    2916:     }
    2917:     nbs = n/cbs;

    2919:     PetscMalloc1(rmax,&bindx);
    2920:     MatPreallocateInitialize(comm,mbs,nbs,dnz,onz); /* inline function, output __end and __rstart are used below */

    2922:     MPI_Comm_rank(comm,&rank);
    2923:     MPI_Comm_rank(comm,&size);
    2924:     if (rank == size-1) {
    2925:       /* Check sum(nbs) = Nbs */
    2926:       if (__end != Nbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Sum of local block columns %D != global block columns %D",__end,Nbs);
    2927:     }

    2929:     rstart = __rstart; /* block rstart of *outmat; see inline function MatPreallocateInitialize */
    2930:     MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_TRUE);
    2931:     for (i=0; i<mbs; i++) {
    2932:       MatGetRow_SeqSBAIJ(inmat,i*bs,&nnz,&indx,NULL); /* non-blocked nnz and indx */
    2933:       nnz  = nnz/bs;
    2934:       for (j=0; j<nnz; j++) bindx[j] = indx[j*bs]/bs;
    2935:       MatPreallocateSet(i+rstart,nnz,bindx,dnz,onz);
    2936:       MatRestoreRow_SeqSBAIJ(inmat,i*bs,&nnz,&indx,NULL);
    2937:     }
    2938:     MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_FALSE);
    2939:     PetscFree(bindx);

    2941:     MatCreate(comm,outmat);
    2942:     MatSetSizes(*outmat,m,n,PETSC_DETERMINE,PETSC_DETERMINE);
    2943:     MatSetBlockSizes(*outmat,bs,cbs);
    2944:     MatSetType(*outmat,MATSBAIJ);
    2945:     MatSeqSBAIJSetPreallocation(*outmat,bs,0,dnz);
    2946:     MatMPISBAIJSetPreallocation(*outmat,bs,0,dnz,0,onz);
    2947:     MatPreallocateFinalize(dnz,onz);
    2948:   }

    2950:   /* numeric phase */
    2951:   MatGetBlockSizes(inmat,&bs,&cbs);
    2952:   MatGetOwnershipRange(*outmat,&rstart,NULL);

    2954:   MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_TRUE);
    2955:   for (i=0; i<m; i++) {
    2956:     MatGetRow_SeqSBAIJ(inmat,i,&nnz,&indx,&values);
    2957:     Ii   = i + rstart;
    2958:     MatSetValues(*outmat,1,&Ii,nnz,indx,values,INSERT_VALUES);
    2959:     MatRestoreRow_SeqSBAIJ(inmat,i,&nnz,&indx,&values);
    2960:   }
    2961:   MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_FALSE);
    2962:   MatAssemblyBegin(*outmat,MAT_FINAL_ASSEMBLY);
    2963:   MatAssemblyEnd(*outmat,MAT_FINAL_ASSEMBLY);
    2964:   return(0);
    2965: }