xref: /petsc/src/mat/impls/baij/mpi/mpibaij.c (revision cf019ec6f319a509de7602f53cdadf853cfc8a83)
1 
2 #include <../src/mat/impls/baij/mpi/mpibaij.h>   /*I  "petscmat.h"  I*/
3 
4 #include <petscblaslapack.h>
5 #include <petscsf.h>
6 
7 #if defined(PETSC_HAVE_HYPRE)
8 PETSC_INTERN PetscErrorCode MatConvert_AIJ_HYPRE(Mat,MatType,MatReuse,Mat*);
9 #endif
10 
11 PetscErrorCode MatGetRowMaxAbs_MPIBAIJ(Mat A,Vec v,PetscInt idx[])
12 {
13   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
14   PetscErrorCode ierr;
15   PetscInt       i,*idxb = 0;
16   PetscScalar    *va,*vb;
17   Vec            vtmp;
18 
19   PetscFunctionBegin;
20   ierr = MatGetRowMaxAbs(a->A,v,idx);CHKERRQ(ierr);
21   ierr = VecGetArray(v,&va);CHKERRQ(ierr);
22   if (idx) {
23     for (i=0; i<A->rmap->n; i++) {
24       if (PetscAbsScalar(va[i])) idx[i] += A->cmap->rstart;
25     }
26   }
27 
28   ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->n,&vtmp);CHKERRQ(ierr);
29   if (idx) {ierr = PetscMalloc1(A->rmap->n,&idxb);CHKERRQ(ierr);}
30   ierr = MatGetRowMaxAbs(a->B,vtmp,idxb);CHKERRQ(ierr);
31   ierr = VecGetArray(vtmp,&vb);CHKERRQ(ierr);
32 
33   for (i=0; i<A->rmap->n; i++) {
34     if (PetscAbsScalar(va[i]) < PetscAbsScalar(vb[i])) {
35       va[i] = vb[i];
36       if (idx) idx[i] = A->cmap->bs*a->garray[idxb[i]/A->cmap->bs] + (idxb[i] % A->cmap->bs);
37     }
38   }
39 
40   ierr = VecRestoreArray(v,&va);CHKERRQ(ierr);
41   ierr = VecRestoreArray(vtmp,&vb);CHKERRQ(ierr);
42   ierr = PetscFree(idxb);CHKERRQ(ierr);
43   ierr = VecDestroy(&vtmp);CHKERRQ(ierr);
44   PetscFunctionReturn(0);
45 }
46 
47 PetscErrorCode  MatStoreValues_MPIBAIJ(Mat mat)
48 {
49   Mat_MPIBAIJ    *aij = (Mat_MPIBAIJ*)mat->data;
50   PetscErrorCode ierr;
51 
52   PetscFunctionBegin;
53   ierr = MatStoreValues(aij->A);CHKERRQ(ierr);
54   ierr = MatStoreValues(aij->B);CHKERRQ(ierr);
55   PetscFunctionReturn(0);
56 }
57 
58 PetscErrorCode  MatRetrieveValues_MPIBAIJ(Mat mat)
59 {
60   Mat_MPIBAIJ    *aij = (Mat_MPIBAIJ*)mat->data;
61   PetscErrorCode ierr;
62 
63   PetscFunctionBegin;
64   ierr = MatRetrieveValues(aij->A);CHKERRQ(ierr);
65   ierr = MatRetrieveValues(aij->B);CHKERRQ(ierr);
66   PetscFunctionReturn(0);
67 }
68 
69 /*
70      Local utility routine that creates a mapping from the global column
71    number to the local number in the off-diagonal part of the local
72    storage of the matrix.  This is done in a non scalable way since the
73    length of colmap equals the global matrix length.
74 */
75 PetscErrorCode MatCreateColmap_MPIBAIJ_Private(Mat mat)
76 {
77   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
78   Mat_SeqBAIJ    *B    = (Mat_SeqBAIJ*)baij->B->data;
79   PetscErrorCode ierr;
80   PetscInt       nbs = B->nbs,i,bs=mat->rmap->bs;
81 
82   PetscFunctionBegin;
83 #if defined(PETSC_USE_CTABLE)
84   ierr = PetscTableCreate(baij->nbs,baij->Nbs+1,&baij->colmap);CHKERRQ(ierr);
85   for (i=0; i<nbs; i++) {
86     ierr = PetscTableAdd(baij->colmap,baij->garray[i]+1,i*bs+1,INSERT_VALUES);CHKERRQ(ierr);
87   }
88 #else
89   ierr = PetscMalloc1(baij->Nbs+1,&baij->colmap);CHKERRQ(ierr);
90   ierr = PetscLogObjectMemory((PetscObject)mat,baij->Nbs*sizeof(PetscInt));CHKERRQ(ierr);
91   ierr = PetscMemzero(baij->colmap,baij->Nbs*sizeof(PetscInt));CHKERRQ(ierr);
92   for (i=0; i<nbs; i++) baij->colmap[baij->garray[i]] = i*bs+1;
93 #endif
94   PetscFunctionReturn(0);
95 }
96 
97 #define  MatSetValues_SeqBAIJ_A_Private(row,col,value,addv,orow,ocol)       \
98   { \
99  \
100     brow = row/bs;  \
101     rp   = aj + ai[brow]; ap = aa + bs2*ai[brow]; \
102     rmax = aimax[brow]; nrow = ailen[brow]; \
103     bcol = col/bs; \
104     ridx = row % bs; cidx = col % bs; \
105     low  = 0; high = nrow; \
106     while (high-low > 3) { \
107       t = (low+high)/2; \
108       if (rp[t] > bcol) high = t; \
109       else              low  = t; \
110     } \
111     for (_i=low; _i<high; _i++) { \
112       if (rp[_i] > bcol) break; \
113       if (rp[_i] == bcol) { \
114         bap = ap +  bs2*_i + bs*cidx + ridx; \
115         if (addv == ADD_VALUES) *bap += value;  \
116         else                    *bap  = value;  \
117         goto a_noinsert; \
118       } \
119     } \
120     if (a->nonew == 1) goto a_noinsert; \
121     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); \
122     MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,aimax,a->nonew,MatScalar); \
123     N = nrow++ - 1;  \
124     /* shift up all the later entries in this row */ \
125     for (ii=N; ii>=_i; ii--) { \
126       rp[ii+1] = rp[ii]; \
127       ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
128     } \
129     if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr); }  \
130     rp[_i]                      = bcol;  \
131     ap[bs2*_i + bs*cidx + ridx] = value;  \
132 a_noinsert:; \
133     ailen[brow] = nrow; \
134   }
135 
136 #define  MatSetValues_SeqBAIJ_B_Private(row,col,value,addv,orow,ocol)       \
137   { \
138     brow = row/bs;  \
139     rp   = bj + bi[brow]; ap = ba + bs2*bi[brow]; \
140     rmax = bimax[brow]; nrow = bilen[brow]; \
141     bcol = col/bs; \
142     ridx = row % bs; cidx = col % bs; \
143     low  = 0; high = nrow; \
144     while (high-low > 3) { \
145       t = (low+high)/2; \
146       if (rp[t] > bcol) high = t; \
147       else              low  = t; \
148     } \
149     for (_i=low; _i<high; _i++) { \
150       if (rp[_i] > bcol) break; \
151       if (rp[_i] == bcol) { \
152         bap = ap +  bs2*_i + bs*cidx + ridx; \
153         if (addv == ADD_VALUES) *bap += value;  \
154         else                    *bap  = value;  \
155         goto b_noinsert; \
156       } \
157     } \
158     if (b->nonew == 1) goto b_noinsert; \
159     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); \
160     MatSeqXAIJReallocateAIJ(B,b->mbs,bs2,nrow,brow,bcol,rmax,ba,bi,bj,rp,ap,bimax,b->nonew,MatScalar); \
161     N = nrow++ - 1;  \
162     /* shift up all the later entries in this row */ \
163     for (ii=N; ii>=_i; ii--) { \
164       rp[ii+1] = rp[ii]; \
165       ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
166     } \
167     if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr);}  \
168     rp[_i]                      = bcol;  \
169     ap[bs2*_i + bs*cidx + ridx] = value;  \
170 b_noinsert:; \
171     bilen[brow] = nrow; \
172   }
173 
174 PetscErrorCode MatSetValues_MPIBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
175 {
176   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
177   MatScalar      value;
178   PetscBool      roworiented = baij->roworiented;
179   PetscErrorCode ierr;
180   PetscInt       i,j,row,col;
181   PetscInt       rstart_orig=mat->rmap->rstart;
182   PetscInt       rend_orig  =mat->rmap->rend,cstart_orig=mat->cmap->rstart;
183   PetscInt       cend_orig  =mat->cmap->rend,bs=mat->rmap->bs;
184 
185   /* Some Variables required in the macro */
186   Mat         A     = baij->A;
187   Mat_SeqBAIJ *a    = (Mat_SeqBAIJ*)(A)->data;
188   PetscInt    *aimax=a->imax,*ai=a->i,*ailen=a->ilen,*aj=a->j;
189   MatScalar   *aa   =a->a;
190 
191   Mat         B     = baij->B;
192   Mat_SeqBAIJ *b    = (Mat_SeqBAIJ*)(B)->data;
193   PetscInt    *bimax=b->imax,*bi=b->i,*bilen=b->ilen,*bj=b->j;
194   MatScalar   *ba   =b->a;
195 
196   PetscInt  *rp,ii,nrow,_i,rmax,N,brow,bcol;
197   PetscInt  low,high,t,ridx,cidx,bs2=a->bs2;
198   MatScalar *ap,*bap;
199 
200   PetscFunctionBegin;
201   for (i=0; i<m; i++) {
202     if (im[i] < 0) continue;
203 #if defined(PETSC_USE_DEBUG)
204     if (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);
205 #endif
206     if (im[i] >= rstart_orig && im[i] < rend_orig) {
207       row = im[i] - rstart_orig;
208       for (j=0; j<n; j++) {
209         if (in[j] >= cstart_orig && in[j] < cend_orig) {
210           col = in[j] - cstart_orig;
211           if (roworiented) value = v[i*n+j];
212           else             value = v[i+j*m];
213           MatSetValues_SeqBAIJ_A_Private(row,col,value,addv,im[i],in[j]);
214           /* ierr = MatSetValues_SeqBAIJ(baij->A,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
215         } else if (in[j] < 0) continue;
216 #if defined(PETSC_USE_DEBUG)
217         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);
218 #endif
219         else {
220           if (mat->was_assembled) {
221             if (!baij->colmap) {
222               ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
223             }
224 #if defined(PETSC_USE_CTABLE)
225             ierr = PetscTableFind(baij->colmap,in[j]/bs + 1,&col);CHKERRQ(ierr);
226             col  = col - 1;
227 #else
228             col = baij->colmap[in[j]/bs] - 1;
229 #endif
230             if (col < 0 && !((Mat_SeqBAIJ*)(baij->B->data))->nonew) {
231               ierr = MatDisAssemble_MPIBAIJ(mat);CHKERRQ(ierr);
232               col  =  in[j];
233               /* Reinitialize the variables required by MatSetValues_SeqBAIJ_B_Private() */
234               B    = baij->B;
235               b    = (Mat_SeqBAIJ*)(B)->data;
236               bimax=b->imax;bi=b->i;bilen=b->ilen;bj=b->j;
237               ba   =b->a;
238             } else if (col < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", im[i], in[j]);
239             else col += in[j]%bs;
240           } else col = in[j];
241           if (roworiented) value = v[i*n+j];
242           else             value = v[i+j*m];
243           MatSetValues_SeqBAIJ_B_Private(row,col,value,addv,im[i],in[j]);
244           /* ierr = MatSetValues_SeqBAIJ(baij->B,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
245         }
246       }
247     } else {
248       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]);
249       if (!baij->donotstash) {
250         mat->assembled = PETSC_FALSE;
251         if (roworiented) {
252           ierr = MatStashValuesRow_Private(&mat->stash,im[i],n,in,v+i*n,PETSC_FALSE);CHKERRQ(ierr);
253         } else {
254           ierr = MatStashValuesCol_Private(&mat->stash,im[i],n,in,v+i,m,PETSC_FALSE);CHKERRQ(ierr);
255         }
256       }
257     }
258   }
259   PetscFunctionReturn(0);
260 }
261 
262 PETSC_STATIC_INLINE PetscErrorCode MatSetValuesBlocked_SeqBAIJ_Inlined(Mat A,PetscInt row,PetscInt col,const PetscScalar v[],InsertMode is,PetscInt orow,PetscInt ocol)
263 {
264   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
265   PetscInt          *rp,low,high,t,ii,jj,nrow,i,rmax,N;
266   PetscInt          *imax=a->imax,*ai=a->i,*ailen=a->ilen;
267   PetscErrorCode    ierr;
268   PetscInt          *aj        =a->j,nonew=a->nonew,bs2=a->bs2,bs=A->rmap->bs;
269   PetscBool         roworiented=a->roworiented;
270   const PetscScalar *value     = v;
271   MatScalar         *ap,*aa = a->a,*bap;
272 
273   PetscFunctionBegin;
274   rp   = aj + ai[row];
275   ap   = aa + bs2*ai[row];
276   rmax = imax[row];
277   nrow = ailen[row];
278   value = v;
279   low = 0;
280   high = nrow;
281   while (high-low > 7) {
282     t = (low+high)/2;
283     if (rp[t] > col) high = t;
284     else             low  = t;
285   }
286   for (i=low; i<high; i++) {
287     if (rp[i] > col) break;
288     if (rp[i] == col) {
289       bap = ap +  bs2*i;
290       if (roworiented) {
291         if (is == ADD_VALUES) {
292           for (ii=0; ii<bs; ii++) {
293             for (jj=ii; jj<bs2; jj+=bs) {
294               bap[jj] += *value++;
295             }
296           }
297         } else {
298           for (ii=0; ii<bs; ii++) {
299             for (jj=ii; jj<bs2; jj+=bs) {
300               bap[jj] = *value++;
301             }
302           }
303         }
304       } else {
305         if (is == ADD_VALUES) {
306           for (ii=0; ii<bs; ii++,value+=bs) {
307             for (jj=0; jj<bs; jj++) {
308               bap[jj] += value[jj];
309             }
310             bap += bs;
311           }
312         } else {
313           for (ii=0; ii<bs; ii++,value+=bs) {
314             for (jj=0; jj<bs; jj++) {
315               bap[jj]  = value[jj];
316             }
317             bap += bs;
318           }
319         }
320       }
321       goto noinsert2;
322     }
323   }
324   if (nonew == 1) goto noinsert2;
325   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);
326   MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
327   N = nrow++ - 1; high++;
328   /* shift up all the later entries in this row */
329   for (ii=N; ii>=i; ii--) {
330     rp[ii+1] = rp[ii];
331     ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
332   }
333   if (N >= i) {
334     ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
335   }
336   rp[i] = col;
337   bap   = ap +  bs2*i;
338   if (roworiented) {
339     for (ii=0; ii<bs; ii++) {
340       for (jj=ii; jj<bs2; jj+=bs) {
341         bap[jj] = *value++;
342       }
343     }
344   } else {
345     for (ii=0; ii<bs; ii++) {
346       for (jj=0; jj<bs; jj++) {
347         *bap++ = *value++;
348       }
349     }
350   }
351   noinsert2:;
352   ailen[row] = nrow;
353   PetscFunctionReturn(0);
354 }
355 
356 /*
357     This routine should be optimized so that the block copy at ** Here a copy is required ** below is not needed
358     by passing additional stride information into the MatSetValuesBlocked_SeqBAIJ_Inlined() routine
359 */
360 PetscErrorCode MatSetValuesBlocked_MPIBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
361 {
362   Mat_MPIBAIJ       *baij = (Mat_MPIBAIJ*)mat->data;
363   const PetscScalar *value;
364   MatScalar         *barray     = baij->barray;
365   PetscBool         roworiented = baij->roworiented;
366   PetscErrorCode    ierr;
367   PetscInt          i,j,ii,jj,row,col,rstart=baij->rstartbs;
368   PetscInt          rend=baij->rendbs,cstart=baij->cstartbs,stepval;
369   PetscInt          cend=baij->cendbs,bs=mat->rmap->bs,bs2=baij->bs2;
370 
371   PetscFunctionBegin;
372   if (!barray) {
373     ierr         = PetscMalloc1(bs2,&barray);CHKERRQ(ierr);
374     baij->barray = barray;
375   }
376 
377   if (roworiented) stepval = (n-1)*bs;
378   else stepval = (m-1)*bs;
379 
380   for (i=0; i<m; i++) {
381     if (im[i] < 0) continue;
382 #if defined(PETSC_USE_DEBUG)
383     if (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);
384 #endif
385     if (im[i] >= rstart && im[i] < rend) {
386       row = im[i] - rstart;
387       for (j=0; j<n; j++) {
388         /* If NumCol = 1 then a copy is not required */
389         if ((roworiented) && (n == 1)) {
390           barray = (MatScalar*)v + i*bs2;
391         } else if ((!roworiented) && (m == 1)) {
392           barray = (MatScalar*)v + j*bs2;
393         } else { /* Here a copy is required */
394           if (roworiented) {
395             value = v + (i*(stepval+bs) + j)*bs;
396           } else {
397             value = v + (j*(stepval+bs) + i)*bs;
398           }
399           for (ii=0; ii<bs; ii++,value+=bs+stepval) {
400             for (jj=0; jj<bs; jj++) barray[jj] = value[jj];
401             barray += bs;
402           }
403           barray -= bs2;
404         }
405 
406         if (in[j] >= cstart && in[j] < cend) {
407           col  = in[j] - cstart;
408           ierr = MatSetValuesBlocked_SeqBAIJ_Inlined(baij->A,row,col,barray,addv,im[i],in[j]);CHKERRQ(ierr);
409         } else if (in[j] < 0) continue;
410 #if defined(PETSC_USE_DEBUG)
411         else if (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);
412 #endif
413         else {
414           if (mat->was_assembled) {
415             if (!baij->colmap) {
416               ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
417             }
418 
419 #if defined(PETSC_USE_DEBUG)
420 #if defined(PETSC_USE_CTABLE)
421             { PetscInt data;
422               ierr = PetscTableFind(baij->colmap,in[j]+1,&data);CHKERRQ(ierr);
423               if ((data - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
424             }
425 #else
426             if ((baij->colmap[in[j]] - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
427 #endif
428 #endif
429 #if defined(PETSC_USE_CTABLE)
430             ierr = PetscTableFind(baij->colmap,in[j]+1,&col);CHKERRQ(ierr);
431             col  = (col - 1)/bs;
432 #else
433             col = (baij->colmap[in[j]] - 1)/bs;
434 #endif
435             if (col < 0 && !((Mat_SeqBAIJ*)(baij->B->data))->nonew) {
436               ierr = MatDisAssemble_MPIBAIJ(mat);CHKERRQ(ierr);
437               col  =  in[j];
438             } else if (col < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new blocked indexed nonzero block (%D, %D) into matrix",im[i],in[j]);
439           } else col = in[j];
440           ierr = MatSetValuesBlocked_SeqBAIJ_Inlined(baij->B,row,col,barray,addv,im[i],in[j]);CHKERRQ(ierr);
441         }
442       }
443     } else {
444       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]);
445       if (!baij->donotstash) {
446         if (roworiented) {
447           ierr = MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
448         } else {
449           ierr = MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
450         }
451       }
452     }
453   }
454   PetscFunctionReturn(0);
455 }
456 
457 #define HASH_KEY 0.6180339887
458 #define HASH(size,key,tmp) (tmp = (key)*HASH_KEY,(PetscInt)((size)*(tmp-(PetscInt)tmp)))
459 /* #define HASH(size,key) ((PetscInt)((size)*fmod(((key)*HASH_KEY),1))) */
460 /* #define HASH(size,key,tmp) ((PetscInt)((size)*fmod(((key)*HASH_KEY),1))) */
461 PetscErrorCode MatSetValues_MPIBAIJ_HT(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
462 {
463   Mat_MPIBAIJ    *baij       = (Mat_MPIBAIJ*)mat->data;
464   PetscBool      roworiented = baij->roworiented;
465   PetscErrorCode ierr;
466   PetscInt       i,j,row,col;
467   PetscInt       rstart_orig=mat->rmap->rstart;
468   PetscInt       rend_orig  =mat->rmap->rend,Nbs=baij->Nbs;
469   PetscInt       h1,key,size=baij->ht_size,bs=mat->rmap->bs,*HT=baij->ht,idx;
470   PetscReal      tmp;
471   MatScalar      **HD = baij->hd,value;
472 #if defined(PETSC_USE_DEBUG)
473   PetscInt       total_ct=baij->ht_total_ct,insert_ct=baij->ht_insert_ct;
474 #endif
475 
476   PetscFunctionBegin;
477   for (i=0; i<m; i++) {
478 #if defined(PETSC_USE_DEBUG)
479     if (im[i] < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row");
480     if (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);
481 #endif
482     row = im[i];
483     if (row >= rstart_orig && row < rend_orig) {
484       for (j=0; j<n; j++) {
485         col = in[j];
486         if (roworiented) value = v[i*n+j];
487         else             value = v[i+j*m];
488         /* Look up PetscInto the Hash Table */
489         key = (row/bs)*Nbs+(col/bs)+1;
490         h1  = HASH(size,key,tmp);
491 
492 
493         idx = h1;
494 #if defined(PETSC_USE_DEBUG)
495         insert_ct++;
496         total_ct++;
497         if (HT[idx] != key) {
498           for (idx=h1; (idx<size) && (HT[idx]!=key); idx++,total_ct++) ;
499           if (idx == size) {
500             for (idx=0; (idx<h1) && (HT[idx]!=key); idx++,total_ct++) ;
501             if (idx == h1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"(%D,%D) has no entry in the hash table", row, col);
502           }
503         }
504 #else
505         if (HT[idx] != key) {
506           for (idx=h1; (idx<size) && (HT[idx]!=key); idx++) ;
507           if (idx == size) {
508             for (idx=0; (idx<h1) && (HT[idx]!=key); idx++) ;
509             if (idx == h1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"(%D,%D) has no entry in the hash table", row, col);
510           }
511         }
512 #endif
513         /* A HASH table entry is found, so insert the values at the correct address */
514         if (addv == ADD_VALUES) *(HD[idx]+ (col % bs)*bs + (row % bs)) += value;
515         else                    *(HD[idx]+ (col % bs)*bs + (row % bs))  = value;
516       }
517     } else if (!baij->donotstash) {
518       if (roworiented) {
519         ierr = MatStashValuesRow_Private(&mat->stash,im[i],n,in,v+i*n,PETSC_FALSE);CHKERRQ(ierr);
520       } else {
521         ierr = MatStashValuesCol_Private(&mat->stash,im[i],n,in,v+i,m,PETSC_FALSE);CHKERRQ(ierr);
522       }
523     }
524   }
525 #if defined(PETSC_USE_DEBUG)
526   baij->ht_total_ct  += total_ct;
527   baij->ht_insert_ct += insert_ct;
528 #endif
529   PetscFunctionReturn(0);
530 }
531 
532 PetscErrorCode MatSetValuesBlocked_MPIBAIJ_HT(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
533 {
534   Mat_MPIBAIJ       *baij       = (Mat_MPIBAIJ*)mat->data;
535   PetscBool         roworiented = baij->roworiented;
536   PetscErrorCode    ierr;
537   PetscInt          i,j,ii,jj,row,col;
538   PetscInt          rstart=baij->rstartbs;
539   PetscInt          rend  =mat->rmap->rend,stepval,bs=mat->rmap->bs,bs2=baij->bs2,nbs2=n*bs2;
540   PetscInt          h1,key,size=baij->ht_size,idx,*HT=baij->ht,Nbs=baij->Nbs;
541   PetscReal         tmp;
542   MatScalar         **HD = baij->hd,*baij_a;
543   const PetscScalar *v_t,*value;
544 #if defined(PETSC_USE_DEBUG)
545   PetscInt          total_ct=baij->ht_total_ct,insert_ct=baij->ht_insert_ct;
546 #endif
547 
548   PetscFunctionBegin;
549   if (roworiented) stepval = (n-1)*bs;
550   else stepval = (m-1)*bs;
551 
552   for (i=0; i<m; i++) {
553 #if defined(PETSC_USE_DEBUG)
554     if (im[i] < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",im[i]);
555     if (im[i] >= baij->Mbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",im[i],baij->Mbs-1);
556 #endif
557     row = im[i];
558     v_t = v + i*nbs2;
559     if (row >= rstart && row < rend) {
560       for (j=0; j<n; j++) {
561         col = in[j];
562 
563         /* Look up into the Hash Table */
564         key = row*Nbs+col+1;
565         h1  = HASH(size,key,tmp);
566 
567         idx = h1;
568 #if defined(PETSC_USE_DEBUG)
569         total_ct++;
570         insert_ct++;
571         if (HT[idx] != key) {
572           for (idx=h1; (idx<size) && (HT[idx]!=key); idx++,total_ct++) ;
573           if (idx == size) {
574             for (idx=0; (idx<h1) && (HT[idx]!=key); idx++,total_ct++) ;
575             if (idx == h1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"(%D,%D) has no entry in the hash table", row, col);
576           }
577         }
578 #else
579         if (HT[idx] != key) {
580           for (idx=h1; (idx<size) && (HT[idx]!=key); idx++) ;
581           if (idx == size) {
582             for (idx=0; (idx<h1) && (HT[idx]!=key); idx++) ;
583             if (idx == h1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"(%D,%D) has no entry in the hash table", row, col);
584           }
585         }
586 #endif
587         baij_a = HD[idx];
588         if (roworiented) {
589           /*value = v + i*(stepval+bs)*bs + j*bs;*/
590           /* value = v + (i*(stepval+bs)+j)*bs; */
591           value = v_t;
592           v_t  += bs;
593           if (addv == ADD_VALUES) {
594             for (ii=0; ii<bs; ii++,value+=stepval) {
595               for (jj=ii; jj<bs2; jj+=bs) {
596                 baij_a[jj] += *value++;
597               }
598             }
599           } else {
600             for (ii=0; ii<bs; ii++,value+=stepval) {
601               for (jj=ii; jj<bs2; jj+=bs) {
602                 baij_a[jj] = *value++;
603               }
604             }
605           }
606         } else {
607           value = v + j*(stepval+bs)*bs + i*bs;
608           if (addv == ADD_VALUES) {
609             for (ii=0; ii<bs; ii++,value+=stepval,baij_a+=bs) {
610               for (jj=0; jj<bs; jj++) {
611                 baij_a[jj] += *value++;
612               }
613             }
614           } else {
615             for (ii=0; ii<bs; ii++,value+=stepval,baij_a+=bs) {
616               for (jj=0; jj<bs; jj++) {
617                 baij_a[jj] = *value++;
618               }
619             }
620           }
621         }
622       }
623     } else {
624       if (!baij->donotstash) {
625         if (roworiented) {
626           ierr = MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
627         } else {
628           ierr = MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
629         }
630       }
631     }
632   }
633 #if defined(PETSC_USE_DEBUG)
634   baij->ht_total_ct  += total_ct;
635   baij->ht_insert_ct += insert_ct;
636 #endif
637   PetscFunctionReturn(0);
638 }
639 
640 PetscErrorCode MatGetValues_MPIBAIJ(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],PetscScalar v[])
641 {
642   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
643   PetscErrorCode ierr;
644   PetscInt       bs       = mat->rmap->bs,i,j,bsrstart = mat->rmap->rstart,bsrend = mat->rmap->rend;
645   PetscInt       bscstart = mat->cmap->rstart,bscend = mat->cmap->rend,row,col,data;
646 
647   PetscFunctionBegin;
648   for (i=0; i<m; i++) {
649     if (idxm[i] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",idxm[i]);*/
650     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);
651     if (idxm[i] >= bsrstart && idxm[i] < bsrend) {
652       row = idxm[i] - bsrstart;
653       for (j=0; j<n; j++) {
654         if (idxn[j] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column: %D",idxn[j]); */
655         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);
656         if (idxn[j] >= bscstart && idxn[j] < bscend) {
657           col  = idxn[j] - bscstart;
658           ierr = MatGetValues_SeqBAIJ(baij->A,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
659         } else {
660           if (!baij->colmap) {
661             ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
662           }
663 #if defined(PETSC_USE_CTABLE)
664           ierr = PetscTableFind(baij->colmap,idxn[j]/bs+1,&data);CHKERRQ(ierr);
665           data--;
666 #else
667           data = baij->colmap[idxn[j]/bs]-1;
668 #endif
669           if ((data < 0) || (baij->garray[data/bs] != idxn[j]/bs)) *(v+i*n+j) = 0.0;
670           else {
671             col  = data + idxn[j]%bs;
672             ierr = MatGetValues_SeqBAIJ(baij->B,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
673           }
674         }
675       }
676     } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local values currently supported");
677   }
678   PetscFunctionReturn(0);
679 }
680 
681 PetscErrorCode MatNorm_MPIBAIJ(Mat mat,NormType type,PetscReal *nrm)
682 {
683   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
684   Mat_SeqBAIJ    *amat = (Mat_SeqBAIJ*)baij->A->data,*bmat = (Mat_SeqBAIJ*)baij->B->data;
685   PetscErrorCode ierr;
686   PetscInt       i,j,bs2=baij->bs2,bs=baij->A->rmap->bs,nz,row,col;
687   PetscReal      sum = 0.0;
688   MatScalar      *v;
689 
690   PetscFunctionBegin;
691   if (baij->size == 1) {
692     ierr =  MatNorm(baij->A,type,nrm);CHKERRQ(ierr);
693   } else {
694     if (type == NORM_FROBENIUS) {
695       v  = amat->a;
696       nz = amat->nz*bs2;
697       for (i=0; i<nz; i++) {
698         sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
699       }
700       v  = bmat->a;
701       nz = bmat->nz*bs2;
702       for (i=0; i<nz; i++) {
703         sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
704       }
705       ierr = MPIU_Allreduce(&sum,nrm,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
706       *nrm = PetscSqrtReal(*nrm);
707     } else if (type == NORM_1) { /* max column sum */
708       PetscReal *tmp,*tmp2;
709       PetscInt  *jj,*garray=baij->garray,cstart=baij->rstartbs;
710       ierr = PetscMalloc2(mat->cmap->N,&tmp,mat->cmap->N,&tmp2);CHKERRQ(ierr);
711       ierr = PetscMemzero(tmp,mat->cmap->N*sizeof(PetscReal));CHKERRQ(ierr);
712       v    = amat->a; jj = amat->j;
713       for (i=0; i<amat->nz; i++) {
714         for (j=0; j<bs; j++) {
715           col = bs*(cstart + *jj) + j; /* column index */
716           for (row=0; row<bs; row++) {
717             tmp[col] += PetscAbsScalar(*v);  v++;
718           }
719         }
720         jj++;
721       }
722       v = bmat->a; jj = bmat->j;
723       for (i=0; i<bmat->nz; i++) {
724         for (j=0; j<bs; j++) {
725           col = bs*garray[*jj] + j;
726           for (row=0; row<bs; row++) {
727             tmp[col] += PetscAbsScalar(*v); v++;
728           }
729         }
730         jj++;
731       }
732       ierr = MPIU_Allreduce(tmp,tmp2,mat->cmap->N,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
733       *nrm = 0.0;
734       for (j=0; j<mat->cmap->N; j++) {
735         if (tmp2[j] > *nrm) *nrm = tmp2[j];
736       }
737       ierr = PetscFree2(tmp,tmp2);CHKERRQ(ierr);
738     } else if (type == NORM_INFINITY) { /* max row sum */
739       PetscReal *sums;
740       ierr = PetscMalloc1(bs,&sums);CHKERRQ(ierr);
741       sum  = 0.0;
742       for (j=0; j<amat->mbs; j++) {
743         for (row=0; row<bs; row++) sums[row] = 0.0;
744         v  = amat->a + bs2*amat->i[j];
745         nz = amat->i[j+1]-amat->i[j];
746         for (i=0; i<nz; i++) {
747           for (col=0; col<bs; col++) {
748             for (row=0; row<bs; row++) {
749               sums[row] += PetscAbsScalar(*v); v++;
750             }
751           }
752         }
753         v  = bmat->a + bs2*bmat->i[j];
754         nz = bmat->i[j+1]-bmat->i[j];
755         for (i=0; i<nz; i++) {
756           for (col=0; col<bs; col++) {
757             for (row=0; row<bs; row++) {
758               sums[row] += PetscAbsScalar(*v); v++;
759             }
760           }
761         }
762         for (row=0; row<bs; row++) {
763           if (sums[row] > sum) sum = sums[row];
764         }
765       }
766       ierr = MPIU_Allreduce(&sum,nrm,1,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
767       ierr = PetscFree(sums);CHKERRQ(ierr);
768     } else SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"No support for this norm yet");
769   }
770   PetscFunctionReturn(0);
771 }
772 
773 /*
774   Creates the hash table, and sets the table
775   This table is created only once.
776   If new entried need to be added to the matrix
777   then the hash table has to be destroyed and
778   recreated.
779 */
780 PetscErrorCode MatCreateHashTable_MPIBAIJ_Private(Mat mat,PetscReal factor)
781 {
782   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
783   Mat            A     = baij->A,B=baij->B;
784   Mat_SeqBAIJ    *a    = (Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ*)B->data;
785   PetscInt       i,j,k,nz=a->nz+b->nz,h1,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j;
786   PetscErrorCode ierr;
787   PetscInt       ht_size,bs2=baij->bs2,rstart=baij->rstartbs;
788   PetscInt       cstart=baij->cstartbs,*garray=baij->garray,row,col,Nbs=baij->Nbs;
789   PetscInt       *HT,key;
790   MatScalar      **HD;
791   PetscReal      tmp;
792 #if defined(PETSC_USE_INFO)
793   PetscInt ct=0,max=0;
794 #endif
795 
796   PetscFunctionBegin;
797   if (baij->ht) PetscFunctionReturn(0);
798 
799   baij->ht_size = (PetscInt)(factor*nz);
800   ht_size       = baij->ht_size;
801 
802   /* Allocate Memory for Hash Table */
803   ierr = PetscCalloc2(ht_size,&baij->hd,ht_size,&baij->ht);CHKERRQ(ierr);
804   HD   = baij->hd;
805   HT   = baij->ht;
806 
807   /* Loop Over A */
808   for (i=0; i<a->mbs; i++) {
809     for (j=ai[i]; j<ai[i+1]; j++) {
810       row = i+rstart;
811       col = aj[j]+cstart;
812 
813       key = row*Nbs + col + 1;
814       h1  = HASH(ht_size,key,tmp);
815       for (k=0; k<ht_size; k++) {
816         if (!HT[(h1+k)%ht_size]) {
817           HT[(h1+k)%ht_size] = key;
818           HD[(h1+k)%ht_size] = a->a + j*bs2;
819           break;
820 #if defined(PETSC_USE_INFO)
821         } else {
822           ct++;
823 #endif
824         }
825       }
826 #if defined(PETSC_USE_INFO)
827       if (k> max) max = k;
828 #endif
829     }
830   }
831   /* Loop Over B */
832   for (i=0; i<b->mbs; i++) {
833     for (j=bi[i]; j<bi[i+1]; j++) {
834       row = i+rstart;
835       col = garray[bj[j]];
836       key = row*Nbs + col + 1;
837       h1  = HASH(ht_size,key,tmp);
838       for (k=0; k<ht_size; k++) {
839         if (!HT[(h1+k)%ht_size]) {
840           HT[(h1+k)%ht_size] = key;
841           HD[(h1+k)%ht_size] = b->a + j*bs2;
842           break;
843 #if defined(PETSC_USE_INFO)
844         } else {
845           ct++;
846 #endif
847         }
848       }
849 #if defined(PETSC_USE_INFO)
850       if (k> max) max = k;
851 #endif
852     }
853   }
854 
855   /* Print Summary */
856 #if defined(PETSC_USE_INFO)
857   for (i=0,j=0; i<ht_size; i++) {
858     if (HT[i]) j++;
859   }
860   ierr = PetscInfo2(mat,"Average Search = %5.2f,max search = %D\n",(!j)? 0.0:((PetscReal)(ct+j))/j,max);CHKERRQ(ierr);
861 #endif
862   PetscFunctionReturn(0);
863 }
864 
865 PetscErrorCode MatAssemblyBegin_MPIBAIJ(Mat mat,MatAssemblyType mode)
866 {
867   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
868   PetscErrorCode ierr;
869   PetscInt       nstash,reallocs;
870 
871   PetscFunctionBegin;
872   if (baij->donotstash || mat->nooffprocentries) PetscFunctionReturn(0);
873 
874   ierr = MatStashScatterBegin_Private(mat,&mat->stash,mat->rmap->range);CHKERRQ(ierr);
875   ierr = MatStashScatterBegin_Private(mat,&mat->bstash,baij->rangebs);CHKERRQ(ierr);
876   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
877   ierr = PetscInfo2(mat,"Stash has %D entries,uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
878   ierr = MatStashGetInfo_Private(&mat->bstash,&nstash,&reallocs);CHKERRQ(ierr);
879   ierr = PetscInfo2(mat,"Block-Stash has %D entries, uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
880   PetscFunctionReturn(0);
881 }
882 
883 PetscErrorCode MatAssemblyEnd_MPIBAIJ(Mat mat,MatAssemblyType mode)
884 {
885   Mat_MPIBAIJ    *baij=(Mat_MPIBAIJ*)mat->data;
886   Mat_SeqBAIJ    *a   =(Mat_SeqBAIJ*)baij->A->data;
887   PetscErrorCode ierr;
888   PetscInt       i,j,rstart,ncols,flg,bs2=baij->bs2;
889   PetscInt       *row,*col;
890   PetscBool      r1,r2,r3,other_disassembled;
891   MatScalar      *val;
892   PetscMPIInt    n;
893 
894   PetscFunctionBegin;
895   /* do not use 'b=(Mat_SeqBAIJ*)baij->B->data' as B can be reset in disassembly */
896   if (!baij->donotstash && !mat->nooffprocentries) {
897     while (1) {
898       ierr = MatStashScatterGetMesg_Private(&mat->stash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
899       if (!flg) break;
900 
901       for (i=0; i<n;) {
902         /* Now identify the consecutive vals belonging to the same row */
903         for (j=i,rstart=row[j]; j<n; j++) {
904           if (row[j] != rstart) break;
905         }
906         if (j < n) ncols = j-i;
907         else       ncols = n-i;
908         /* Now assemble all these values with a single function call */
909         ierr = MatSetValues_MPIBAIJ(mat,1,row+i,ncols,col+i,val+i,mat->insertmode);CHKERRQ(ierr);
910         i    = j;
911       }
912     }
913     ierr = MatStashScatterEnd_Private(&mat->stash);CHKERRQ(ierr);
914     /* Now process the block-stash. Since the values are stashed column-oriented,
915        set the roworiented flag to column oriented, and after MatSetValues()
916        restore the original flags */
917     r1 = baij->roworiented;
918     r2 = a->roworiented;
919     r3 = ((Mat_SeqBAIJ*)baij->B->data)->roworiented;
920 
921     baij->roworiented = PETSC_FALSE;
922     a->roworiented    = PETSC_FALSE;
923 
924     (((Mat_SeqBAIJ*)baij->B->data))->roworiented = PETSC_FALSE; /* b->roworiented */
925     while (1) {
926       ierr = MatStashScatterGetMesg_Private(&mat->bstash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
927       if (!flg) break;
928 
929       for (i=0; i<n;) {
930         /* Now identify the consecutive vals belonging to the same row */
931         for (j=i,rstart=row[j]; j<n; j++) {
932           if (row[j] != rstart) break;
933         }
934         if (j < n) ncols = j-i;
935         else       ncols = n-i;
936         ierr = MatSetValuesBlocked_MPIBAIJ(mat,1,row+i,ncols,col+i,val+i*bs2,mat->insertmode);CHKERRQ(ierr);
937         i    = j;
938       }
939     }
940     ierr = MatStashScatterEnd_Private(&mat->bstash);CHKERRQ(ierr);
941 
942     baij->roworiented = r1;
943     a->roworiented    = r2;
944 
945     ((Mat_SeqBAIJ*)baij->B->data)->roworiented = r3; /* b->roworiented */
946   }
947 
948   ierr = MatAssemblyBegin(baij->A,mode);CHKERRQ(ierr);
949   ierr = MatAssemblyEnd(baij->A,mode);CHKERRQ(ierr);
950 
951   /* determine if any processor has disassembled, if so we must
952      also disassemble ourselfs, in order that we may reassemble. */
953   /*
954      if nonzero structure of submatrix B cannot change then we know that
955      no processor disassembled thus we can skip this stuff
956   */
957   if (!((Mat_SeqBAIJ*)baij->B->data)->nonew) {
958     ierr = MPIU_Allreduce(&mat->was_assembled,&other_disassembled,1,MPIU_BOOL,MPI_PROD,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
959     if (mat->was_assembled && !other_disassembled) {
960       ierr = MatDisAssemble_MPIBAIJ(mat);CHKERRQ(ierr);
961     }
962   }
963 
964   if (!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) {
965     ierr = MatSetUpMultiply_MPIBAIJ(mat);CHKERRQ(ierr);
966   }
967   ierr = MatAssemblyBegin(baij->B,mode);CHKERRQ(ierr);
968   ierr = MatAssemblyEnd(baij->B,mode);CHKERRQ(ierr);
969 
970 #if defined(PETSC_USE_INFO)
971   if (baij->ht && mode== MAT_FINAL_ASSEMBLY) {
972     ierr = PetscInfo1(mat,"Average Hash Table Search in MatSetValues = %5.2f\n",(double)((PetscReal)baij->ht_total_ct)/baij->ht_insert_ct);CHKERRQ(ierr);
973 
974     baij->ht_total_ct  = 0;
975     baij->ht_insert_ct = 0;
976   }
977 #endif
978   if (baij->ht_flag && !baij->ht && mode == MAT_FINAL_ASSEMBLY) {
979     ierr = MatCreateHashTable_MPIBAIJ_Private(mat,baij->ht_fact);CHKERRQ(ierr);
980 
981     mat->ops->setvalues        = MatSetValues_MPIBAIJ_HT;
982     mat->ops->setvaluesblocked = MatSetValuesBlocked_MPIBAIJ_HT;
983   }
984 
985   ierr = PetscFree2(baij->rowvalues,baij->rowindices);CHKERRQ(ierr);
986 
987   baij->rowvalues = 0;
988 
989   /* if no new nonzero locations are allowed in matrix then only set the matrix state the first time through */
990   if ((!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) || !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
991     PetscObjectState state = baij->A->nonzerostate + baij->B->nonzerostate;
992     ierr = MPIU_Allreduce(&state,&mat->nonzerostate,1,MPIU_INT64,MPI_SUM,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
993   }
994   PetscFunctionReturn(0);
995 }
996 
997 extern PetscErrorCode MatView_SeqBAIJ(Mat,PetscViewer);
998 #include <petscdraw.h>
999 static PetscErrorCode MatView_MPIBAIJ_ASCIIorDraworSocket(Mat mat,PetscViewer viewer)
1000 {
1001   Mat_MPIBAIJ       *baij = (Mat_MPIBAIJ*)mat->data;
1002   PetscErrorCode    ierr;
1003   PetscMPIInt       rank = baij->rank;
1004   PetscInt          bs   = mat->rmap->bs;
1005   PetscBool         iascii,isdraw;
1006   PetscViewer       sviewer;
1007   PetscViewerFormat format;
1008 
1009   PetscFunctionBegin;
1010   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1011   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1012   if (iascii) {
1013     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1014     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
1015       MatInfo info;
1016       ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)mat),&rank);CHKERRQ(ierr);
1017       ierr = MatGetInfo(mat,MAT_LOCAL,&info);CHKERRQ(ierr);
1018       ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr);
1019       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] Local rows %D nz %D nz alloced %D bs %D mem %g\n",
1020                                                 rank,mat->rmap->n,(PetscInt)info.nz_used,(PetscInt)info.nz_allocated,mat->rmap->bs,(double)info.memory);CHKERRQ(ierr);
1021       ierr = MatGetInfo(baij->A,MAT_LOCAL,&info);CHKERRQ(ierr);
1022       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] on-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
1023       ierr = MatGetInfo(baij->B,MAT_LOCAL,&info);CHKERRQ(ierr);
1024       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] off-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
1025       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1026       ierr = PetscViewerASCIIPopSynchronized(viewer);CHKERRQ(ierr);
1027       ierr = PetscViewerASCIIPrintf(viewer,"Information on VecScatter used in matrix-vector product: \n");CHKERRQ(ierr);
1028       ierr = VecScatterView(baij->Mvctx,viewer);CHKERRQ(ierr);
1029       PetscFunctionReturn(0);
1030     } else if (format == PETSC_VIEWER_ASCII_INFO) {
1031       ierr = PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);CHKERRQ(ierr);
1032       PetscFunctionReturn(0);
1033     } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
1034       PetscFunctionReturn(0);
1035     }
1036   }
1037 
1038   if (isdraw) {
1039     PetscDraw draw;
1040     PetscBool isnull;
1041     ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1042     ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr);
1043     if (isnull) PetscFunctionReturn(0);
1044   }
1045 
1046   {
1047     /* assemble the entire matrix onto first processor. */
1048     Mat         A;
1049     Mat_SeqBAIJ *Aloc;
1050     PetscInt    M = mat->rmap->N,N = mat->cmap->N,*ai,*aj,col,i,j,k,*rvals,mbs = baij->mbs;
1051     MatScalar   *a;
1052     const char  *matname;
1053 
1054     /* Here we are creating a temporary matrix, so will assume MPIBAIJ is acceptable */
1055     /* Perhaps this should be the type of mat? */
1056     ierr = MatCreate(PetscObjectComm((PetscObject)mat),&A);CHKERRQ(ierr);
1057     if (!rank) {
1058       ierr = MatSetSizes(A,M,N,M,N);CHKERRQ(ierr);
1059     } else {
1060       ierr = MatSetSizes(A,0,0,M,N);CHKERRQ(ierr);
1061     }
1062     ierr = MatSetType(A,MATMPIBAIJ);CHKERRQ(ierr);
1063     ierr = MatMPIBAIJSetPreallocation(A,mat->rmap->bs,0,NULL,0,NULL);CHKERRQ(ierr);
1064     ierr = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);
1065     ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)A);CHKERRQ(ierr);
1066 
1067     /* copy over the A part */
1068     Aloc = (Mat_SeqBAIJ*)baij->A->data;
1069     ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
1070     ierr = PetscMalloc1(bs,&rvals);CHKERRQ(ierr);
1071 
1072     for (i=0; i<mbs; i++) {
1073       rvals[0] = bs*(baij->rstartbs + i);
1074       for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
1075       for (j=ai[i]; j<ai[i+1]; j++) {
1076         col = (baij->cstartbs+aj[j])*bs;
1077         for (k=0; k<bs; k++) {
1078           ierr      = MatSetValues_MPIBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
1079           col++; a += bs;
1080         }
1081       }
1082     }
1083     /* copy over the B part */
1084     Aloc = (Mat_SeqBAIJ*)baij->B->data;
1085     ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
1086     for (i=0; i<mbs; i++) {
1087       rvals[0] = bs*(baij->rstartbs + i);
1088       for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
1089       for (j=ai[i]; j<ai[i+1]; j++) {
1090         col = baij->garray[aj[j]]*bs;
1091         for (k=0; k<bs; k++) {
1092           ierr      = MatSetValues_MPIBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
1093           col++; a += bs;
1094         }
1095       }
1096     }
1097     ierr = PetscFree(rvals);CHKERRQ(ierr);
1098     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1099     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1100     /*
1101        Everyone has to call to draw the matrix since the graphics waits are
1102        synchronized across all processors that share the PetscDraw object
1103     */
1104     ierr = PetscViewerGetSubViewer(viewer,PETSC_COMM_SELF,&sviewer);CHKERRQ(ierr);
1105     ierr = PetscObjectGetName((PetscObject)mat,&matname);CHKERRQ(ierr);
1106     if (!rank) {
1107       ierr = PetscObjectSetName((PetscObject)((Mat_MPIBAIJ*)(A->data))->A,matname);CHKERRQ(ierr);
1108       ierr = MatView_SeqBAIJ(((Mat_MPIBAIJ*)(A->data))->A,sviewer);CHKERRQ(ierr);
1109     }
1110     ierr = PetscViewerRestoreSubViewer(viewer,PETSC_COMM_SELF,&sviewer);CHKERRQ(ierr);
1111     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1112     ierr = MatDestroy(&A);CHKERRQ(ierr);
1113   }
1114   PetscFunctionReturn(0);
1115 }
1116 
1117 static PetscErrorCode MatView_MPIBAIJ_Binary(Mat mat,PetscViewer viewer)
1118 {
1119   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)mat->data;
1120   Mat_SeqBAIJ    *A = (Mat_SeqBAIJ*)a->A->data;
1121   Mat_SeqBAIJ    *B = (Mat_SeqBAIJ*)a->B->data;
1122   PetscErrorCode ierr;
1123   PetscInt       i,*row_lens,*crow_lens,bs = mat->rmap->bs,j,k,bs2=a->bs2,header[4],nz,rlen;
1124   PetscInt       *range=0,nzmax,*column_indices,cnt,col,*garray = a->garray,cstart = mat->cmap->rstart/bs,len,pcnt,l,ll;
1125   int            fd;
1126   PetscScalar    *column_values;
1127   FILE           *file;
1128   PetscMPIInt    rank,size,tag = ((PetscObject)viewer)->tag;
1129   PetscInt       message_count,flowcontrolcount;
1130 
1131   PetscFunctionBegin;
1132   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)mat),&rank);CHKERRQ(ierr);
1133   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)mat),&size);CHKERRQ(ierr);
1134   nz   = bs2*(A->nz + B->nz);
1135   rlen = mat->rmap->n;
1136   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
1137   if (!rank) {
1138     header[0] = MAT_FILE_CLASSID;
1139     header[1] = mat->rmap->N;
1140     header[2] = mat->cmap->N;
1141 
1142     ierr = MPI_Reduce(&nz,&header[3],1,MPIU_INT,MPI_SUM,0,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1143     ierr = PetscBinaryWrite(fd,header,4,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1144     /* get largest number of rows any processor has */
1145     range = mat->rmap->range;
1146     for (i=1; i<size; i++) {
1147       rlen = PetscMax(rlen,range[i+1] - range[i]);
1148     }
1149   } else {
1150     ierr = MPI_Reduce(&nz,0,1,MPIU_INT,MPI_SUM,0,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1151   }
1152 
1153   ierr = PetscMalloc1(rlen/bs,&crow_lens);CHKERRQ(ierr);
1154   /* compute lengths of each row  */
1155   for (i=0; i<a->mbs; i++) {
1156     crow_lens[i] = A->i[i+1] - A->i[i] + B->i[i+1] - B->i[i];
1157   }
1158   /* store the row lengths to the file */
1159   ierr = PetscViewerFlowControlStart(viewer,&message_count,&flowcontrolcount);CHKERRQ(ierr);
1160   if (!rank) {
1161     MPI_Status status;
1162     ierr = PetscMalloc1(rlen,&row_lens);CHKERRQ(ierr);
1163     rlen = (range[1] - range[0])/bs;
1164     for (i=0; i<rlen; i++) {
1165       for (j=0; j<bs; j++) {
1166         row_lens[i*bs+j] = bs*crow_lens[i];
1167       }
1168     }
1169     ierr = PetscBinaryWrite(fd,row_lens,bs*rlen,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1170     for (i=1; i<size; i++) {
1171       rlen = (range[i+1] - range[i])/bs;
1172       ierr = PetscViewerFlowControlStepMaster(viewer,i,&message_count,flowcontrolcount);CHKERRQ(ierr);
1173       ierr = MPI_Recv(crow_lens,rlen,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1174       for (k=0; k<rlen; k++) {
1175         for (j=0; j<bs; j++) {
1176           row_lens[k*bs+j] = bs*crow_lens[k];
1177         }
1178       }
1179       ierr = PetscBinaryWrite(fd,row_lens,bs*rlen,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1180     }
1181     ierr = PetscViewerFlowControlEndMaster(viewer,&message_count);CHKERRQ(ierr);
1182     ierr = PetscFree(row_lens);CHKERRQ(ierr);
1183   } else {
1184     ierr = PetscViewerFlowControlStepWorker(viewer,rank,&message_count);CHKERRQ(ierr);
1185     ierr = MPI_Send(crow_lens,mat->rmap->n/bs,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1186     ierr = PetscViewerFlowControlEndWorker(viewer,&message_count);CHKERRQ(ierr);
1187   }
1188   ierr = PetscFree(crow_lens);CHKERRQ(ierr);
1189 
1190   /* load up the local column indices. Include for all rows not just one for each block row since process 0 does not have the
1191      information needed to make it for each row from a block row. This does require more communication but still not more than
1192      the communication needed for the nonzero values  */
1193   nzmax = nz; /*  space a largest processor needs */
1194   ierr  = MPI_Reduce(&nz,&nzmax,1,MPIU_INT,MPI_MAX,0,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1195   ierr  = PetscMalloc1(nzmax,&column_indices);CHKERRQ(ierr);
1196   cnt   = 0;
1197   for (i=0; i<a->mbs; i++) {
1198     pcnt = cnt;
1199     for (j=B->i[i]; j<B->i[i+1]; j++) {
1200       if ((col = garray[B->j[j]]) > cstart) break;
1201       for (l=0; l<bs; l++) {
1202         column_indices[cnt++] = bs*col+l;
1203       }
1204     }
1205     for (k=A->i[i]; k<A->i[i+1]; k++) {
1206       for (l=0; l<bs; l++) {
1207         column_indices[cnt++] = bs*(A->j[k] + cstart)+l;
1208       }
1209     }
1210     for (; j<B->i[i+1]; j++) {
1211       for (l=0; l<bs; l++) {
1212         column_indices[cnt++] = bs*garray[B->j[j]]+l;
1213       }
1214     }
1215     len = cnt - pcnt;
1216     for (k=1; k<bs; k++) {
1217       ierr = PetscMemcpy(&column_indices[cnt],&column_indices[pcnt],len*sizeof(PetscInt));CHKERRQ(ierr);
1218       cnt += len;
1219     }
1220   }
1221   if (cnt != nz) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Internal PETSc error: cnt = %D nz = %D",cnt,nz);
1222 
1223   /* store the columns to the file */
1224   ierr = PetscViewerFlowControlStart(viewer,&message_count,&flowcontrolcount);CHKERRQ(ierr);
1225   if (!rank) {
1226     MPI_Status status;
1227     ierr = PetscBinaryWrite(fd,column_indices,nz,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1228     for (i=1; i<size; i++) {
1229       ierr = PetscViewerFlowControlStepMaster(viewer,i,&message_count,flowcontrolcount);CHKERRQ(ierr);
1230       ierr = MPI_Recv(&cnt,1,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1231       ierr = MPI_Recv(column_indices,cnt,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1232       ierr = PetscBinaryWrite(fd,column_indices,cnt,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1233     }
1234     ierr = PetscViewerFlowControlEndMaster(viewer,&message_count);CHKERRQ(ierr);
1235   } else {
1236     ierr = PetscViewerFlowControlStepWorker(viewer,rank,&message_count);CHKERRQ(ierr);
1237     ierr = MPI_Send(&cnt,1,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1238     ierr = MPI_Send(column_indices,cnt,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1239     ierr = PetscViewerFlowControlEndWorker(viewer,&message_count);CHKERRQ(ierr);
1240   }
1241   ierr = PetscFree(column_indices);CHKERRQ(ierr);
1242 
1243   /* load up the numerical values */
1244   ierr = PetscMalloc1(nzmax,&column_values);CHKERRQ(ierr);
1245   cnt  = 0;
1246   for (i=0; i<a->mbs; i++) {
1247     rlen = bs*(B->i[i+1] - B->i[i] + A->i[i+1] - A->i[i]);
1248     for (j=B->i[i]; j<B->i[i+1]; j++) {
1249       if (garray[B->j[j]] > cstart) break;
1250       for (l=0; l<bs; l++) {
1251         for (ll=0; ll<bs; ll++) {
1252           column_values[cnt + l*rlen + ll] = B->a[bs2*j+l+bs*ll];
1253         }
1254       }
1255       cnt += bs;
1256     }
1257     for (k=A->i[i]; k<A->i[i+1]; k++) {
1258       for (l=0; l<bs; l++) {
1259         for (ll=0; ll<bs; ll++) {
1260           column_values[cnt + l*rlen + ll] = A->a[bs2*k+l+bs*ll];
1261         }
1262       }
1263       cnt += bs;
1264     }
1265     for (; j<B->i[i+1]; j++) {
1266       for (l=0; l<bs; l++) {
1267         for (ll=0; ll<bs; ll++) {
1268           column_values[cnt + l*rlen + ll] = B->a[bs2*j+l+bs*ll];
1269         }
1270       }
1271       cnt += bs;
1272     }
1273     cnt += (bs-1)*rlen;
1274   }
1275   if (cnt != nz) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Internal PETSc error: cnt = %D nz = %D",cnt,nz);
1276 
1277   /* store the column values to the file */
1278   ierr = PetscViewerFlowControlStart(viewer,&message_count,&flowcontrolcount);CHKERRQ(ierr);
1279   if (!rank) {
1280     MPI_Status status;
1281     ierr = PetscBinaryWrite(fd,column_values,nz,PETSC_SCALAR,PETSC_TRUE);CHKERRQ(ierr);
1282     for (i=1; i<size; i++) {
1283       ierr = PetscViewerFlowControlStepMaster(viewer,i,&message_count,flowcontrolcount);CHKERRQ(ierr);
1284       ierr = MPI_Recv(&cnt,1,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1285       ierr = MPI_Recv(column_values,cnt,MPIU_SCALAR,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1286       ierr = PetscBinaryWrite(fd,column_values,cnt,PETSC_SCALAR,PETSC_TRUE);CHKERRQ(ierr);
1287     }
1288     ierr = PetscViewerFlowControlEndMaster(viewer,&message_count);CHKERRQ(ierr);
1289   } else {
1290     ierr = PetscViewerFlowControlStepWorker(viewer,rank,&message_count);CHKERRQ(ierr);
1291     ierr = MPI_Send(&nz,1,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1292     ierr = MPI_Send(column_values,nz,MPIU_SCALAR,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1293     ierr = PetscViewerFlowControlEndWorker(viewer,&message_count);CHKERRQ(ierr);
1294   }
1295   ierr = PetscFree(column_values);CHKERRQ(ierr);
1296 
1297   ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
1298   if (file) {
1299     fprintf(file,"-matload_block_size %d\n",(int)mat->rmap->bs);
1300   }
1301   PetscFunctionReturn(0);
1302 }
1303 
1304 PetscErrorCode MatView_MPIBAIJ(Mat mat,PetscViewer viewer)
1305 {
1306   PetscErrorCode ierr;
1307   PetscBool      iascii,isdraw,issocket,isbinary;
1308 
1309   PetscFunctionBegin;
1310   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1311   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1312   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSOCKET,&issocket);CHKERRQ(ierr);
1313   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1314   if (iascii || isdraw || issocket) {
1315     ierr = MatView_MPIBAIJ_ASCIIorDraworSocket(mat,viewer);CHKERRQ(ierr);
1316   } else if (isbinary) {
1317     ierr = MatView_MPIBAIJ_Binary(mat,viewer);CHKERRQ(ierr);
1318   }
1319   PetscFunctionReturn(0);
1320 }
1321 
1322 PetscErrorCode MatDestroy_MPIBAIJ(Mat mat)
1323 {
1324   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
1325   PetscErrorCode ierr;
1326 
1327   PetscFunctionBegin;
1328 #if defined(PETSC_USE_LOG)
1329   PetscLogObjectState((PetscObject)mat,"Rows=%D,Cols=%D",mat->rmap->N,mat->cmap->N);
1330 #endif
1331   ierr = MatStashDestroy_Private(&mat->stash);CHKERRQ(ierr);
1332   ierr = MatStashDestroy_Private(&mat->bstash);CHKERRQ(ierr);
1333   ierr = MatDestroy(&baij->A);CHKERRQ(ierr);
1334   ierr = MatDestroy(&baij->B);CHKERRQ(ierr);
1335 #if defined(PETSC_USE_CTABLE)
1336   ierr = PetscTableDestroy(&baij->colmap);CHKERRQ(ierr);
1337 #else
1338   ierr = PetscFree(baij->colmap);CHKERRQ(ierr);
1339 #endif
1340   ierr = PetscFree(baij->garray);CHKERRQ(ierr);
1341   ierr = VecDestroy(&baij->lvec);CHKERRQ(ierr);
1342   ierr = VecScatterDestroy(&baij->Mvctx);CHKERRQ(ierr);
1343   ierr = PetscFree2(baij->rowvalues,baij->rowindices);CHKERRQ(ierr);
1344   ierr = PetscFree(baij->barray);CHKERRQ(ierr);
1345   ierr = PetscFree2(baij->hd,baij->ht);CHKERRQ(ierr);
1346   ierr = PetscFree(baij->rangebs);CHKERRQ(ierr);
1347   ierr = PetscFree(mat->data);CHKERRQ(ierr);
1348 
1349   ierr = PetscObjectChangeTypeName((PetscObject)mat,0);CHKERRQ(ierr);
1350   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatStoreValues_C",NULL);CHKERRQ(ierr);
1351   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatRetrieveValues_C",NULL);CHKERRQ(ierr);
1352   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatMPIBAIJSetPreallocation_C",NULL);CHKERRQ(ierr);
1353   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatMPIBAIJSetPreallocationCSR_C",NULL);CHKERRQ(ierr);
1354   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatDiagonalScaleLocal_C",NULL);CHKERRQ(ierr);
1355   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatSetHashTableFactor_C",NULL);CHKERRQ(ierr);
1356   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpibaij_mpisbaij_C",NULL);CHKERRQ(ierr);
1357   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpibaij_mpibstrm_C",NULL);CHKERRQ(ierr);
1358 #if defined(PETSC_HAVE_HYPRE)
1359   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpibaij_hypre_C",NULL);CHKERRQ(ierr);
1360 #endif
1361   PetscFunctionReturn(0);
1362 }
1363 
1364 PetscErrorCode MatMult_MPIBAIJ(Mat A,Vec xx,Vec yy)
1365 {
1366   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1367   PetscErrorCode ierr;
1368   PetscInt       nt;
1369 
1370   PetscFunctionBegin;
1371   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
1372   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
1373   ierr = VecGetLocalSize(yy,&nt);CHKERRQ(ierr);
1374   if (nt != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible parition of A and yy");
1375   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1376   ierr = (*a->A->ops->mult)(a->A,xx,yy);CHKERRQ(ierr);
1377   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1378   ierr = (*a->B->ops->multadd)(a->B,a->lvec,yy,yy);CHKERRQ(ierr);
1379   PetscFunctionReturn(0);
1380 }
1381 
1382 PetscErrorCode MatMultAdd_MPIBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1383 {
1384   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1385   PetscErrorCode ierr;
1386 
1387   PetscFunctionBegin;
1388   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1389   ierr = (*a->A->ops->multadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
1390   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1391   ierr = (*a->B->ops->multadd)(a->B,a->lvec,zz,zz);CHKERRQ(ierr);
1392   PetscFunctionReturn(0);
1393 }
1394 
1395 PetscErrorCode MatMultTranspose_MPIBAIJ(Mat A,Vec xx,Vec yy)
1396 {
1397   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1398   PetscErrorCode ierr;
1399   PetscBool      merged;
1400 
1401   PetscFunctionBegin;
1402   ierr = VecScatterGetMerged(a->Mvctx,&merged);CHKERRQ(ierr);
1403   /* do nondiagonal part */
1404   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1405   if (!merged) {
1406     /* send it on its way */
1407     ierr = VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1408     /* do local part */
1409     ierr = (*a->A->ops->multtranspose)(a->A,xx,yy);CHKERRQ(ierr);
1410     /* receive remote parts: note this assumes the values are not actually */
1411     /* inserted in yy until the next line */
1412     ierr = VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1413   } else {
1414     /* do local part */
1415     ierr = (*a->A->ops->multtranspose)(a->A,xx,yy);CHKERRQ(ierr);
1416     /* send it on its way */
1417     ierr = VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1418     /* values actually were received in the Begin() but we need to call this nop */
1419     ierr = VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1420   }
1421   PetscFunctionReturn(0);
1422 }
1423 
1424 PetscErrorCode MatMultTransposeAdd_MPIBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1425 {
1426   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1427   PetscErrorCode ierr;
1428 
1429   PetscFunctionBegin;
1430   /* do nondiagonal part */
1431   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1432   /* send it on its way */
1433   ierr = VecScatterBegin(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1434   /* do local part */
1435   ierr = (*a->A->ops->multtransposeadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
1436   /* receive remote parts: note this assumes the values are not actually */
1437   /* inserted in yy until the next line, which is true for my implementation*/
1438   /* but is not perhaps always true. */
1439   ierr = VecScatterEnd(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1440   PetscFunctionReturn(0);
1441 }
1442 
1443 /*
1444   This only works correctly for square matrices where the subblock A->A is the
1445    diagonal block
1446 */
1447 PetscErrorCode MatGetDiagonal_MPIBAIJ(Mat A,Vec v)
1448 {
1449   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1450   PetscErrorCode ierr;
1451 
1452   PetscFunctionBegin;
1453   if (A->rmap->N != A->cmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Supports only square matrix where A->A is diag block");
1454   ierr = MatGetDiagonal(a->A,v);CHKERRQ(ierr);
1455   PetscFunctionReturn(0);
1456 }
1457 
1458 PetscErrorCode MatScale_MPIBAIJ(Mat A,PetscScalar aa)
1459 {
1460   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1461   PetscErrorCode ierr;
1462 
1463   PetscFunctionBegin;
1464   ierr = MatScale(a->A,aa);CHKERRQ(ierr);
1465   ierr = MatScale(a->B,aa);CHKERRQ(ierr);
1466   PetscFunctionReturn(0);
1467 }
1468 
1469 PetscErrorCode MatGetRow_MPIBAIJ(Mat matin,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1470 {
1471   Mat_MPIBAIJ    *mat = (Mat_MPIBAIJ*)matin->data;
1472   PetscScalar    *vworkA,*vworkB,**pvA,**pvB,*v_p;
1473   PetscErrorCode ierr;
1474   PetscInt       bs = matin->rmap->bs,bs2 = mat->bs2,i,*cworkA,*cworkB,**pcA,**pcB;
1475   PetscInt       nztot,nzA,nzB,lrow,brstart = matin->rmap->rstart,brend = matin->rmap->rend;
1476   PetscInt       *cmap,*idx_p,cstart = mat->cstartbs;
1477 
1478   PetscFunctionBegin;
1479   if (row < brstart || row >= brend) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local rows");
1480   if (mat->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Already active");
1481   mat->getrowactive = PETSC_TRUE;
1482 
1483   if (!mat->rowvalues && (idx || v)) {
1484     /*
1485         allocate enough space to hold information from the longest row.
1486     */
1487     Mat_SeqBAIJ *Aa = (Mat_SeqBAIJ*)mat->A->data,*Ba = (Mat_SeqBAIJ*)mat->B->data;
1488     PetscInt    max = 1,mbs = mat->mbs,tmp;
1489     for (i=0; i<mbs; i++) {
1490       tmp = Aa->i[i+1] - Aa->i[i] + Ba->i[i+1] - Ba->i[i];
1491       if (max < tmp) max = tmp;
1492     }
1493     ierr = PetscMalloc2(max*bs2,&mat->rowvalues,max*bs2,&mat->rowindices);CHKERRQ(ierr);
1494   }
1495   lrow = row - brstart;
1496 
1497   pvA = &vworkA; pcA = &cworkA; pvB = &vworkB; pcB = &cworkB;
1498   if (!v)   {pvA = 0; pvB = 0;}
1499   if (!idx) {pcA = 0; if (!v) pcB = 0;}
1500   ierr  = (*mat->A->ops->getrow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1501   ierr  = (*mat->B->ops->getrow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1502   nztot = nzA + nzB;
1503 
1504   cmap = mat->garray;
1505   if (v  || idx) {
1506     if (nztot) {
1507       /* Sort by increasing column numbers, assuming A and B already sorted */
1508       PetscInt imark = -1;
1509       if (v) {
1510         *v = v_p = mat->rowvalues;
1511         for (i=0; i<nzB; i++) {
1512           if (cmap[cworkB[i]/bs] < cstart) v_p[i] = vworkB[i];
1513           else break;
1514         }
1515         imark = i;
1516         for (i=0; i<nzA; i++)     v_p[imark+i] = vworkA[i];
1517         for (i=imark; i<nzB; i++) v_p[nzA+i]   = vworkB[i];
1518       }
1519       if (idx) {
1520         *idx = idx_p = mat->rowindices;
1521         if (imark > -1) {
1522           for (i=0; i<imark; i++) {
1523             idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1524           }
1525         } else {
1526           for (i=0; i<nzB; i++) {
1527             if (cmap[cworkB[i]/bs] < cstart) idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1528             else break;
1529           }
1530           imark = i;
1531         }
1532         for (i=0; i<nzA; i++)     idx_p[imark+i] = cstart*bs + cworkA[i];
1533         for (i=imark; i<nzB; i++) idx_p[nzA+i]   = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1534       }
1535     } else {
1536       if (idx) *idx = 0;
1537       if (v)   *v   = 0;
1538     }
1539   }
1540   *nz  = nztot;
1541   ierr = (*mat->A->ops->restorerow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1542   ierr = (*mat->B->ops->restorerow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1543   PetscFunctionReturn(0);
1544 }
1545 
1546 PetscErrorCode MatRestoreRow_MPIBAIJ(Mat mat,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1547 {
1548   Mat_MPIBAIJ *baij = (Mat_MPIBAIJ*)mat->data;
1549 
1550   PetscFunctionBegin;
1551   if (!baij->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"MatGetRow not called");
1552   baij->getrowactive = PETSC_FALSE;
1553   PetscFunctionReturn(0);
1554 }
1555 
1556 PetscErrorCode MatZeroEntries_MPIBAIJ(Mat A)
1557 {
1558   Mat_MPIBAIJ    *l = (Mat_MPIBAIJ*)A->data;
1559   PetscErrorCode ierr;
1560 
1561   PetscFunctionBegin;
1562   ierr = MatZeroEntries(l->A);CHKERRQ(ierr);
1563   ierr = MatZeroEntries(l->B);CHKERRQ(ierr);
1564   PetscFunctionReturn(0);
1565 }
1566 
1567 PetscErrorCode MatGetInfo_MPIBAIJ(Mat matin,MatInfoType flag,MatInfo *info)
1568 {
1569   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)matin->data;
1570   Mat            A  = a->A,B = a->B;
1571   PetscErrorCode ierr;
1572   PetscReal      isend[5],irecv[5];
1573 
1574   PetscFunctionBegin;
1575   info->block_size = (PetscReal)matin->rmap->bs;
1576 
1577   ierr = MatGetInfo(A,MAT_LOCAL,info);CHKERRQ(ierr);
1578 
1579   isend[0] = info->nz_used; isend[1] = info->nz_allocated; isend[2] = info->nz_unneeded;
1580   isend[3] = info->memory;  isend[4] = info->mallocs;
1581 
1582   ierr = MatGetInfo(B,MAT_LOCAL,info);CHKERRQ(ierr);
1583 
1584   isend[0] += info->nz_used; isend[1] += info->nz_allocated; isend[2] += info->nz_unneeded;
1585   isend[3] += info->memory;  isend[4] += info->mallocs;
1586 
1587   if (flag == MAT_LOCAL) {
1588     info->nz_used      = isend[0];
1589     info->nz_allocated = isend[1];
1590     info->nz_unneeded  = isend[2];
1591     info->memory       = isend[3];
1592     info->mallocs      = isend[4];
1593   } else if (flag == MAT_GLOBAL_MAX) {
1594     ierr = MPIU_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)matin));CHKERRQ(ierr);
1595 
1596     info->nz_used      = irecv[0];
1597     info->nz_allocated = irecv[1];
1598     info->nz_unneeded  = irecv[2];
1599     info->memory       = irecv[3];
1600     info->mallocs      = irecv[4];
1601   } else if (flag == MAT_GLOBAL_SUM) {
1602     ierr = MPIU_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)matin));CHKERRQ(ierr);
1603 
1604     info->nz_used      = irecv[0];
1605     info->nz_allocated = irecv[1];
1606     info->nz_unneeded  = irecv[2];
1607     info->memory       = irecv[3];
1608     info->mallocs      = irecv[4];
1609   } else SETERRQ1(PetscObjectComm((PetscObject)matin),PETSC_ERR_ARG_WRONG,"Unknown MatInfoType argument %d",(int)flag);
1610   info->fill_ratio_given  = 0; /* no parallel LU/ILU/Cholesky */
1611   info->fill_ratio_needed = 0;
1612   info->factor_mallocs    = 0;
1613   PetscFunctionReturn(0);
1614 }
1615 
1616 PetscErrorCode MatSetOption_MPIBAIJ(Mat A,MatOption op,PetscBool flg)
1617 {
1618   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1619   PetscErrorCode ierr;
1620 
1621   PetscFunctionBegin;
1622   switch (op) {
1623   case MAT_NEW_NONZERO_LOCATIONS:
1624   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1625   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1626   case MAT_KEEP_NONZERO_PATTERN:
1627   case MAT_NEW_NONZERO_LOCATION_ERR:
1628     MatCheckPreallocated(A,1);
1629     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1630     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1631     break;
1632   case MAT_ROW_ORIENTED:
1633     MatCheckPreallocated(A,1);
1634     a->roworiented = flg;
1635 
1636     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1637     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1638     break;
1639   case MAT_NEW_DIAGONALS:
1640     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1641     break;
1642   case MAT_IGNORE_OFF_PROC_ENTRIES:
1643     a->donotstash = flg;
1644     break;
1645   case MAT_USE_HASH_TABLE:
1646     a->ht_flag = flg;
1647     a->ht_fact = 1.39;
1648     break;
1649   case MAT_SYMMETRIC:
1650   case MAT_STRUCTURALLY_SYMMETRIC:
1651   case MAT_HERMITIAN:
1652   case MAT_SUBMAT_SINGLEIS:
1653   case MAT_SYMMETRY_ETERNAL:
1654     MatCheckPreallocated(A,1);
1655     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1656     break;
1657   default:
1658     SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"unknown option %d",op);
1659   }
1660   PetscFunctionReturn(0);
1661 }
1662 
1663 PetscErrorCode MatTranspose_MPIBAIJ(Mat A,MatReuse reuse,Mat *matout)
1664 {
1665   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)A->data;
1666   Mat_SeqBAIJ    *Aloc;
1667   Mat            B;
1668   PetscErrorCode ierr;
1669   PetscInt       M =A->rmap->N,N=A->cmap->N,*ai,*aj,i,*rvals,j,k,col;
1670   PetscInt       bs=A->rmap->bs,mbs=baij->mbs;
1671   MatScalar      *a;
1672 
1673   PetscFunctionBegin;
1674   if (reuse == MAT_INITIAL_MATRIX || reuse == MAT_INPLACE_MATRIX) {
1675     ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
1676     ierr = MatSetSizes(B,A->cmap->n,A->rmap->n,N,M);CHKERRQ(ierr);
1677     ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
1678     /* Do not know preallocation information, but must set block size */
1679     ierr = MatMPIBAIJSetPreallocation(B,A->rmap->bs,PETSC_DECIDE,NULL,PETSC_DECIDE,NULL);CHKERRQ(ierr);
1680   } else {
1681     B = *matout;
1682   }
1683 
1684   /* copy over the A part */
1685   Aloc = (Mat_SeqBAIJ*)baij->A->data;
1686   ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
1687   ierr = PetscMalloc1(bs,&rvals);CHKERRQ(ierr);
1688 
1689   for (i=0; i<mbs; i++) {
1690     rvals[0] = bs*(baij->rstartbs + i);
1691     for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
1692     for (j=ai[i]; j<ai[i+1]; j++) {
1693       col = (baij->cstartbs+aj[j])*bs;
1694       for (k=0; k<bs; k++) {
1695         ierr = MatSetValues_MPIBAIJ(B,1,&col,bs,rvals,a,INSERT_VALUES);CHKERRQ(ierr);
1696 
1697         col++; a += bs;
1698       }
1699     }
1700   }
1701   /* copy over the B part */
1702   Aloc = (Mat_SeqBAIJ*)baij->B->data;
1703   ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
1704   for (i=0; i<mbs; i++) {
1705     rvals[0] = bs*(baij->rstartbs + i);
1706     for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
1707     for (j=ai[i]; j<ai[i+1]; j++) {
1708       col = baij->garray[aj[j]]*bs;
1709       for (k=0; k<bs; k++) {
1710         ierr = MatSetValues_MPIBAIJ(B,1,&col,bs,rvals,a,INSERT_VALUES);CHKERRQ(ierr);
1711         col++;
1712         a += bs;
1713       }
1714     }
1715   }
1716   ierr = PetscFree(rvals);CHKERRQ(ierr);
1717   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1718   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1719 
1720   if (reuse == MAT_INITIAL_MATRIX || reuse == MAT_REUSE_MATRIX) *matout = B;
1721   else {
1722     ierr = MatHeaderMerge(A,&B);CHKERRQ(ierr);
1723   }
1724   PetscFunctionReturn(0);
1725 }
1726 
1727 PetscErrorCode MatDiagonalScale_MPIBAIJ(Mat mat,Vec ll,Vec rr)
1728 {
1729   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
1730   Mat            a     = baij->A,b = baij->B;
1731   PetscErrorCode ierr;
1732   PetscInt       s1,s2,s3;
1733 
1734   PetscFunctionBegin;
1735   ierr = MatGetLocalSize(mat,&s2,&s3);CHKERRQ(ierr);
1736   if (rr) {
1737     ierr = VecGetLocalSize(rr,&s1);CHKERRQ(ierr);
1738     if (s1!=s3) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"right vector non-conforming local size");
1739     /* Overlap communication with computation. */
1740     ierr = VecScatterBegin(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1741   }
1742   if (ll) {
1743     ierr = VecGetLocalSize(ll,&s1);CHKERRQ(ierr);
1744     if (s1!=s2) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"left vector non-conforming local size");
1745     ierr = (*b->ops->diagonalscale)(b,ll,NULL);CHKERRQ(ierr);
1746   }
1747   /* scale  the diagonal block */
1748   ierr = (*a->ops->diagonalscale)(a,ll,rr);CHKERRQ(ierr);
1749 
1750   if (rr) {
1751     /* Do a scatter end and then right scale the off-diagonal block */
1752     ierr = VecScatterEnd(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1753     ierr = (*b->ops->diagonalscale)(b,NULL,baij->lvec);CHKERRQ(ierr);
1754   }
1755   PetscFunctionReturn(0);
1756 }
1757 
1758 PetscErrorCode MatZeroRows_MPIBAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1759 {
1760   Mat_MPIBAIJ   *l      = (Mat_MPIBAIJ *) A->data;
1761   PetscInt      *lrows;
1762   PetscInt       r, len;
1763   PetscErrorCode ierr;
1764 
1765   PetscFunctionBegin;
1766   /* get locally owned rows */
1767   ierr = MatZeroRowsMapLocal_Private(A,N,rows,&len,&lrows);CHKERRQ(ierr);
1768   /* fix right hand side if needed */
1769   if (x && b) {
1770     const PetscScalar *xx;
1771     PetscScalar       *bb;
1772 
1773     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1774     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1775     for (r = 0; r < len; ++r) bb[lrows[r]] = diag*xx[lrows[r]];
1776     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1777     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1778   }
1779 
1780   /* actually zap the local rows */
1781   /*
1782         Zero the required rows. If the "diagonal block" of the matrix
1783      is square and the user wishes to set the diagonal we use separate
1784      code so that MatSetValues() is not called for each diagonal allocating
1785      new memory, thus calling lots of mallocs and slowing things down.
1786 
1787   */
1788   /* must zero l->B before l->A because the (diag) case below may put values into l->B*/
1789   ierr = MatZeroRows_SeqBAIJ(l->B,len,lrows,0.0,NULL,NULL);CHKERRQ(ierr);
1790   if (A->congruentlayouts == -1) { /* first time we compare rows and cols layouts */
1791     PetscBool cong;
1792     ierr = PetscLayoutCompare(A->rmap,A->cmap,&cong);CHKERRQ(ierr);
1793     if (cong) A->congruentlayouts = 1;
1794     else      A->congruentlayouts = 0;
1795   }
1796   if ((diag != 0.0) && A->congruentlayouts) {
1797     ierr = MatZeroRows_SeqBAIJ(l->A,len,lrows,diag,NULL,NULL);CHKERRQ(ierr);
1798   } else if (diag != 0.0) {
1799     ierr = MatZeroRows_SeqBAIJ(l->A,len,lrows,0.0,0,0);CHKERRQ(ierr);
1800     if (((Mat_SeqBAIJ*)l->A->data)->nonew) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatZeroRows() on rectangular matrices cannot be used with the Mat options \n\
1801        MAT_NEW_NONZERO_LOCATIONS,MAT_NEW_NONZERO_LOCATION_ERR,MAT_NEW_NONZERO_ALLOCATION_ERR");
1802     for (r = 0; r < len; ++r) {
1803       const PetscInt row = lrows[r] + A->rmap->rstart;
1804       ierr = MatSetValues(A,1,&row,1,&row,&diag,INSERT_VALUES);CHKERRQ(ierr);
1805     }
1806     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1807     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1808   } else {
1809     ierr = MatZeroRows_SeqBAIJ(l->A,len,lrows,0.0,NULL,NULL);CHKERRQ(ierr);
1810   }
1811   ierr = PetscFree(lrows);CHKERRQ(ierr);
1812 
1813   /* only change matrix nonzero state if pattern was allowed to be changed */
1814   if (!((Mat_SeqBAIJ*)(l->A->data))->keepnonzeropattern) {
1815     PetscObjectState state = l->A->nonzerostate + l->B->nonzerostate;
1816     ierr = MPIU_Allreduce(&state,&A->nonzerostate,1,MPIU_INT64,MPI_SUM,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
1817   }
1818   PetscFunctionReturn(0);
1819 }
1820 
1821 PetscErrorCode MatZeroRowsColumns_MPIBAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1822 {
1823   Mat_MPIBAIJ       *l = (Mat_MPIBAIJ*)A->data;
1824   PetscErrorCode    ierr;
1825   PetscMPIInt       n = A->rmap->n;
1826   PetscInt          i,j,k,r,p = 0,len = 0,row,col,count;
1827   PetscInt          *lrows,*owners = A->rmap->range;
1828   PetscSFNode       *rrows;
1829   PetscSF           sf;
1830   const PetscScalar *xx;
1831   PetscScalar       *bb,*mask;
1832   Vec               xmask,lmask;
1833   Mat_SeqBAIJ       *baij = (Mat_SeqBAIJ*)l->B->data;
1834   PetscInt           bs = A->rmap->bs, bs2 = baij->bs2;
1835   PetscScalar       *aa;
1836 
1837   PetscFunctionBegin;
1838   /* Create SF where leaves are input rows and roots are owned rows */
1839   ierr = PetscMalloc1(n, &lrows);CHKERRQ(ierr);
1840   for (r = 0; r < n; ++r) lrows[r] = -1;
1841   ierr = PetscMalloc1(N, &rrows);CHKERRQ(ierr);
1842   for (r = 0; r < N; ++r) {
1843     const PetscInt idx   = rows[r];
1844     if (idx < 0 || A->rmap->N <= idx) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row %D out of range [0,%D)",idx,A->rmap->N);
1845     if (idx < owners[p] || owners[p+1] <= idx) { /* short-circuit the search if the last p owns this row too */
1846       ierr = PetscLayoutFindOwner(A->rmap,idx,&p);CHKERRQ(ierr);
1847     }
1848     rrows[r].rank  = p;
1849     rrows[r].index = rows[r] - owners[p];
1850   }
1851   ierr = PetscSFCreate(PetscObjectComm((PetscObject) A), &sf);CHKERRQ(ierr);
1852   ierr = PetscSFSetGraph(sf, n, N, NULL, PETSC_OWN_POINTER, rrows, PETSC_OWN_POINTER);CHKERRQ(ierr);
1853   /* Collect flags for rows to be zeroed */
1854   ierr = PetscSFReduceBegin(sf, MPIU_INT, (PetscInt *) rows, lrows, MPI_LOR);CHKERRQ(ierr);
1855   ierr = PetscSFReduceEnd(sf, MPIU_INT, (PetscInt *) rows, lrows, MPI_LOR);CHKERRQ(ierr);
1856   ierr = PetscSFDestroy(&sf);CHKERRQ(ierr);
1857   /* Compress and put in row numbers */
1858   for (r = 0; r < n; ++r) if (lrows[r] >= 0) lrows[len++] = r;
1859   /* zero diagonal part of matrix */
1860   ierr = MatZeroRowsColumns(l->A,len,lrows,diag,x,b);CHKERRQ(ierr);
1861   /* handle off diagonal part of matrix */
1862   ierr = MatCreateVecs(A,&xmask,NULL);CHKERRQ(ierr);
1863   ierr = VecDuplicate(l->lvec,&lmask);CHKERRQ(ierr);
1864   ierr = VecGetArray(xmask,&bb);CHKERRQ(ierr);
1865   for (i=0; i<len; i++) bb[lrows[i]] = 1;
1866   ierr = VecRestoreArray(xmask,&bb);CHKERRQ(ierr);
1867   ierr = VecScatterBegin(l->Mvctx,xmask,lmask,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1868   ierr = VecScatterEnd(l->Mvctx,xmask,lmask,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1869   ierr = VecDestroy(&xmask);CHKERRQ(ierr);
1870   if (x) {
1871     ierr = VecScatterBegin(l->Mvctx,x,l->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1872     ierr = VecScatterEnd(l->Mvctx,x,l->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1873     ierr = VecGetArrayRead(l->lvec,&xx);CHKERRQ(ierr);
1874     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1875   }
1876   ierr = VecGetArray(lmask,&mask);CHKERRQ(ierr);
1877   /* remove zeroed rows of off diagonal matrix */
1878   for (i = 0; i < len; ++i) {
1879     row   = lrows[i];
1880     count = (baij->i[row/bs +1] - baij->i[row/bs])*bs;
1881     aa    = ((MatScalar*)(baij->a)) + baij->i[row/bs]*bs2 + (row%bs);
1882     for (k = 0; k < count; ++k) {
1883       aa[0] = 0.0;
1884       aa   += bs;
1885     }
1886   }
1887   /* loop over all elements of off process part of matrix zeroing removed columns*/
1888   for (i = 0; i < l->B->rmap->N; ++i) {
1889     row = i/bs;
1890     for (j = baij->i[row]; j < baij->i[row+1]; ++j) {
1891       for (k = 0; k < bs; ++k) {
1892         col = bs*baij->j[j] + k;
1893         if (PetscAbsScalar(mask[col])) {
1894           aa = ((MatScalar*)(baij->a)) + j*bs2 + (i%bs) + bs*k;
1895           if (x) bb[i] -= aa[0]*xx[col];
1896           aa[0] = 0.0;
1897         }
1898       }
1899     }
1900   }
1901   if (x) {
1902     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1903     ierr = VecRestoreArrayRead(l->lvec,&xx);CHKERRQ(ierr);
1904   }
1905   ierr = VecRestoreArray(lmask,&mask);CHKERRQ(ierr);
1906   ierr = VecDestroy(&lmask);CHKERRQ(ierr);
1907   ierr = PetscFree(lrows);CHKERRQ(ierr);
1908 
1909   /* only change matrix nonzero state if pattern was allowed to be changed */
1910   if (!((Mat_SeqBAIJ*)(l->A->data))->keepnonzeropattern) {
1911     PetscObjectState state = l->A->nonzerostate + l->B->nonzerostate;
1912     ierr = MPIU_Allreduce(&state,&A->nonzerostate,1,MPIU_INT64,MPI_SUM,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
1913   }
1914   PetscFunctionReturn(0);
1915 }
1916 
1917 PetscErrorCode MatSetUnfactored_MPIBAIJ(Mat A)
1918 {
1919   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1920   PetscErrorCode ierr;
1921 
1922   PetscFunctionBegin;
1923   ierr = MatSetUnfactored(a->A);CHKERRQ(ierr);
1924   PetscFunctionReturn(0);
1925 }
1926 
1927 static PetscErrorCode MatDuplicate_MPIBAIJ(Mat,MatDuplicateOption,Mat*);
1928 
1929 PetscErrorCode MatEqual_MPIBAIJ(Mat A,Mat B,PetscBool  *flag)
1930 {
1931   Mat_MPIBAIJ    *matB = (Mat_MPIBAIJ*)B->data,*matA = (Mat_MPIBAIJ*)A->data;
1932   Mat            a,b,c,d;
1933   PetscBool      flg;
1934   PetscErrorCode ierr;
1935 
1936   PetscFunctionBegin;
1937   a = matA->A; b = matA->B;
1938   c = matB->A; d = matB->B;
1939 
1940   ierr = MatEqual(a,c,&flg);CHKERRQ(ierr);
1941   if (flg) {
1942     ierr = MatEqual(b,d,&flg);CHKERRQ(ierr);
1943   }
1944   ierr = MPIU_Allreduce(&flg,flag,1,MPIU_BOOL,MPI_LAND,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
1945   PetscFunctionReturn(0);
1946 }
1947 
1948 PetscErrorCode MatCopy_MPIBAIJ(Mat A,Mat B,MatStructure str)
1949 {
1950   PetscErrorCode ierr;
1951   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1952   Mat_MPIBAIJ    *b = (Mat_MPIBAIJ*)B->data;
1953 
1954   PetscFunctionBegin;
1955   /* If the two matrices don't have the same copy implementation, they aren't compatible for fast copy. */
1956   if ((str != SAME_NONZERO_PATTERN) || (A->ops->copy != B->ops->copy)) {
1957     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
1958   } else {
1959     ierr = MatCopy(a->A,b->A,str);CHKERRQ(ierr);
1960     ierr = MatCopy(a->B,b->B,str);CHKERRQ(ierr);
1961   }
1962   ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
1963   PetscFunctionReturn(0);
1964 }
1965 
1966 PetscErrorCode MatSetUp_MPIBAIJ(Mat A)
1967 {
1968   PetscErrorCode ierr;
1969 
1970   PetscFunctionBegin;
1971   ierr = MatMPIBAIJSetPreallocation(A,A->rmap->bs,PETSC_DEFAULT,0,PETSC_DEFAULT,0);CHKERRQ(ierr);
1972   PetscFunctionReturn(0);
1973 }
1974 
1975 PetscErrorCode MatAXPYGetPreallocation_MPIBAIJ(Mat Y,const PetscInt *yltog,Mat X,const PetscInt *xltog,PetscInt *nnz)
1976 {
1977   PetscErrorCode ierr;
1978   PetscInt       bs = Y->rmap->bs,m = Y->rmap->N/bs;
1979   Mat_SeqBAIJ    *x = (Mat_SeqBAIJ*)X->data;
1980   Mat_SeqBAIJ    *y = (Mat_SeqBAIJ*)Y->data;
1981 
1982   PetscFunctionBegin;
1983   ierr = MatAXPYGetPreallocation_MPIX_private(m,x->i,x->j,xltog,y->i,y->j,yltog,nnz);CHKERRQ(ierr);
1984   PetscFunctionReturn(0);
1985 }
1986 
1987 PetscErrorCode MatAXPY_MPIBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
1988 {
1989   PetscErrorCode ierr;
1990   Mat_MPIBAIJ    *xx=(Mat_MPIBAIJ*)X->data,*yy=(Mat_MPIBAIJ*)Y->data;
1991   PetscBLASInt   bnz,one=1;
1992   Mat_SeqBAIJ    *x,*y;
1993   PetscInt       bs2 = Y->rmap->bs*Y->rmap->bs;
1994 
1995   PetscFunctionBegin;
1996   if (str == SAME_NONZERO_PATTERN) {
1997     PetscScalar alpha = a;
1998     x    = (Mat_SeqBAIJ*)xx->A->data;
1999     y    = (Mat_SeqBAIJ*)yy->A->data;
2000     ierr = PetscBLASIntCast(x->nz*bs2,&bnz);CHKERRQ(ierr);
2001     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
2002     x    = (Mat_SeqBAIJ*)xx->B->data;
2003     y    = (Mat_SeqBAIJ*)yy->B->data;
2004     ierr = PetscBLASIntCast(x->nz*bs2,&bnz);CHKERRQ(ierr);
2005     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
2006     ierr = PetscObjectStateIncrease((PetscObject)Y);CHKERRQ(ierr);
2007   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2008     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
2009   } else {
2010     Mat      B;
2011     PetscInt *nnz_d,*nnz_o,bs=Y->rmap->bs;
2012     ierr = PetscMalloc1(yy->A->rmap->N,&nnz_d);CHKERRQ(ierr);
2013     ierr = PetscMalloc1(yy->B->rmap->N,&nnz_o);CHKERRQ(ierr);
2014     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
2015     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
2016     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
2017     ierr = MatSetBlockSizesFromMats(B,Y,Y);CHKERRQ(ierr);
2018     ierr = MatSetType(B,MATMPIBAIJ);CHKERRQ(ierr);
2019     ierr = MatAXPYGetPreallocation_SeqBAIJ(yy->A,xx->A,nnz_d);CHKERRQ(ierr);
2020     ierr = MatAXPYGetPreallocation_MPIBAIJ(yy->B,yy->garray,xx->B,xx->garray,nnz_o);CHKERRQ(ierr);
2021     ierr = MatMPIBAIJSetPreallocation(B,bs,0,nnz_d,0,nnz_o);CHKERRQ(ierr);
2022     /* MatAXPY_BasicWithPreallocation() for BAIJ matrix is much slower than AIJ, even for bs=1 ! */
2023     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
2024     ierr = MatHeaderReplace(Y,&B);CHKERRQ(ierr);
2025     ierr = PetscFree(nnz_d);CHKERRQ(ierr);
2026     ierr = PetscFree(nnz_o);CHKERRQ(ierr);
2027   }
2028   PetscFunctionReturn(0);
2029 }
2030 
2031 PetscErrorCode MatRealPart_MPIBAIJ(Mat A)
2032 {
2033   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
2034   PetscErrorCode ierr;
2035 
2036   PetscFunctionBegin;
2037   ierr = MatRealPart(a->A);CHKERRQ(ierr);
2038   ierr = MatRealPart(a->B);CHKERRQ(ierr);
2039   PetscFunctionReturn(0);
2040 }
2041 
2042 PetscErrorCode MatImaginaryPart_MPIBAIJ(Mat A)
2043 {
2044   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
2045   PetscErrorCode ierr;
2046 
2047   PetscFunctionBegin;
2048   ierr = MatImaginaryPart(a->A);CHKERRQ(ierr);
2049   ierr = MatImaginaryPart(a->B);CHKERRQ(ierr);
2050   PetscFunctionReturn(0);
2051 }
2052 
2053 PetscErrorCode MatCreateSubMatrix_MPIBAIJ(Mat mat,IS isrow,IS iscol,MatReuse call,Mat *newmat)
2054 {
2055   PetscErrorCode ierr;
2056   IS             iscol_local;
2057   PetscInt       csize;
2058 
2059   PetscFunctionBegin;
2060   ierr = ISGetLocalSize(iscol,&csize);CHKERRQ(ierr);
2061   if (call == MAT_REUSE_MATRIX) {
2062     ierr = PetscObjectQuery((PetscObject)*newmat,"ISAllGather",(PetscObject*)&iscol_local);CHKERRQ(ierr);
2063     if (!iscol_local) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Submatrix passed in was not used before, cannot reuse");
2064   } else {
2065     ierr = ISAllGather(iscol,&iscol_local);CHKERRQ(ierr);
2066   }
2067   ierr = MatCreateSubMatrix_MPIBAIJ_Private(mat,isrow,iscol_local,csize,call,newmat);CHKERRQ(ierr);
2068   if (call == MAT_INITIAL_MATRIX) {
2069     ierr = PetscObjectCompose((PetscObject)*newmat,"ISAllGather",(PetscObject)iscol_local);CHKERRQ(ierr);
2070     ierr = ISDestroy(&iscol_local);CHKERRQ(ierr);
2071   }
2072   PetscFunctionReturn(0);
2073 }
2074 
2075 /*
2076   Not great since it makes two copies of the submatrix, first an SeqBAIJ
2077   in local and then by concatenating the local matrices the end result.
2078   Writing it directly would be much like MatCreateSubMatrices_MPIBAIJ().
2079   This routine is used for BAIJ and SBAIJ matrices (unfortunate dependency).
2080 */
2081 PetscErrorCode MatCreateSubMatrix_MPIBAIJ_Private(Mat mat,IS isrow,IS iscol,PetscInt csize,MatReuse call,Mat *newmat)
2082 {
2083   PetscErrorCode ierr;
2084   PetscMPIInt    rank,size;
2085   PetscInt       i,m,n,rstart,row,rend,nz,*cwork,j,bs;
2086   PetscInt       *ii,*jj,nlocal,*dlens,*olens,dlen,olen,jend,mglobal;
2087   Mat            M,Mreuse;
2088   MatScalar      *vwork,*aa;
2089   MPI_Comm       comm;
2090   IS             isrow_new, iscol_new;
2091   Mat_SeqBAIJ    *aij;
2092 
2093   PetscFunctionBegin;
2094   ierr = PetscObjectGetComm((PetscObject)mat,&comm);CHKERRQ(ierr);
2095   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
2096   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2097   /* The compression and expansion should be avoided. Doesn't point
2098      out errors, might change the indices, hence buggey */
2099   ierr = ISCompressIndicesGeneral(mat->rmap->N,mat->rmap->n,mat->rmap->bs,1,&isrow,&isrow_new);CHKERRQ(ierr);
2100   ierr = ISCompressIndicesGeneral(mat->cmap->N,mat->cmap->n,mat->cmap->bs,1,&iscol,&iscol_new);CHKERRQ(ierr);
2101 
2102   if (call ==  MAT_REUSE_MATRIX) {
2103     ierr = PetscObjectQuery((PetscObject)*newmat,"SubMatrix",(PetscObject*)&Mreuse);CHKERRQ(ierr);
2104     if (!Mreuse) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Submatrix passed in was not used before, cannot reuse");
2105     ierr = MatCreateSubMatrices_MPIBAIJ_local(mat,1,&isrow_new,&iscol_new,MAT_REUSE_MATRIX,&Mreuse);CHKERRQ(ierr);
2106   } else {
2107     ierr = MatCreateSubMatrices_MPIBAIJ_local(mat,1,&isrow_new,&iscol_new,MAT_INITIAL_MATRIX,&Mreuse);CHKERRQ(ierr);
2108   }
2109   ierr = ISDestroy(&isrow_new);CHKERRQ(ierr);
2110   ierr = ISDestroy(&iscol_new);CHKERRQ(ierr);
2111   /*
2112       m - number of local rows
2113       n - number of columns (same on all processors)
2114       rstart - first row in new global matrix generated
2115   */
2116   ierr = MatGetBlockSize(mat,&bs);CHKERRQ(ierr);
2117   ierr = MatGetSize(Mreuse,&m,&n);CHKERRQ(ierr);
2118   m    = m/bs;
2119   n    = n/bs;
2120 
2121   if (call == MAT_INITIAL_MATRIX) {
2122     aij = (Mat_SeqBAIJ*)(Mreuse)->data;
2123     ii  = aij->i;
2124     jj  = aij->j;
2125 
2126     /*
2127         Determine the number of non-zeros in the diagonal and off-diagonal
2128         portions of the matrix in order to do correct preallocation
2129     */
2130 
2131     /* first get start and end of "diagonal" columns */
2132     if (csize == PETSC_DECIDE) {
2133       ierr = ISGetSize(isrow,&mglobal);CHKERRQ(ierr);
2134       if (mglobal == n*bs) { /* square matrix */
2135         nlocal = m;
2136       } else {
2137         nlocal = n/size + ((n % size) > rank);
2138       }
2139     } else {
2140       nlocal = csize/bs;
2141     }
2142     ierr   = MPI_Scan(&nlocal,&rend,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
2143     rstart = rend - nlocal;
2144     if (rank == size - 1 && rend != n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Local column sizes %D do not add up to total number of columns %D",rend,n);
2145 
2146     /* next, compute all the lengths */
2147     ierr  = PetscMalloc2(m+1,&dlens,m+1,&olens);CHKERRQ(ierr);
2148     for (i=0; i<m; i++) {
2149       jend = ii[i+1] - ii[i];
2150       olen = 0;
2151       dlen = 0;
2152       for (j=0; j<jend; j++) {
2153         if (*jj < rstart || *jj >= rend) olen++;
2154         else dlen++;
2155         jj++;
2156       }
2157       olens[i] = olen;
2158       dlens[i] = dlen;
2159     }
2160     ierr = MatCreate(comm,&M);CHKERRQ(ierr);
2161     ierr = MatSetSizes(M,bs*m,bs*nlocal,PETSC_DECIDE,bs*n);CHKERRQ(ierr);
2162     ierr = MatSetType(M,((PetscObject)mat)->type_name);CHKERRQ(ierr);
2163     ierr = MatMPIBAIJSetPreallocation(M,bs,0,dlens,0,olens);CHKERRQ(ierr);
2164     ierr = MatMPISBAIJSetPreallocation(M,bs,0,dlens,0,olens);CHKERRQ(ierr);
2165     ierr = PetscFree2(dlens,olens);CHKERRQ(ierr);
2166   } else {
2167     PetscInt ml,nl;
2168 
2169     M    = *newmat;
2170     ierr = MatGetLocalSize(M,&ml,&nl);CHKERRQ(ierr);
2171     if (ml != m) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Previous matrix must be same size/layout as request");
2172     ierr = MatZeroEntries(M);CHKERRQ(ierr);
2173     /*
2174          The next two lines are needed so we may call MatSetValues_MPIAIJ() below directly,
2175        rather than the slower MatSetValues().
2176     */
2177     M->was_assembled = PETSC_TRUE;
2178     M->assembled     = PETSC_FALSE;
2179   }
2180   ierr = MatSetOption(M,MAT_ROW_ORIENTED,PETSC_FALSE);CHKERRQ(ierr);
2181   ierr = MatGetOwnershipRange(M,&rstart,&rend);CHKERRQ(ierr);
2182   aij  = (Mat_SeqBAIJ*)(Mreuse)->data;
2183   ii   = aij->i;
2184   jj   = aij->j;
2185   aa   = aij->a;
2186   for (i=0; i<m; i++) {
2187     row   = rstart/bs + i;
2188     nz    = ii[i+1] - ii[i];
2189     cwork = jj;     jj += nz;
2190     vwork = aa;     aa += nz*bs*bs;
2191     ierr  = MatSetValuesBlocked_MPIBAIJ(M,1,&row,nz,cwork,vwork,INSERT_VALUES);CHKERRQ(ierr);
2192   }
2193 
2194   ierr    = MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2195   ierr    = MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2196   *newmat = M;
2197 
2198   /* save submatrix used in processor for next request */
2199   if (call ==  MAT_INITIAL_MATRIX) {
2200     ierr = PetscObjectCompose((PetscObject)M,"SubMatrix",(PetscObject)Mreuse);CHKERRQ(ierr);
2201     ierr = PetscObjectDereference((PetscObject)Mreuse);CHKERRQ(ierr);
2202   }
2203   PetscFunctionReturn(0);
2204 }
2205 
2206 PetscErrorCode MatPermute_MPIBAIJ(Mat A,IS rowp,IS colp,Mat *B)
2207 {
2208   MPI_Comm       comm,pcomm;
2209   PetscInt       clocal_size,nrows;
2210   const PetscInt *rows;
2211   PetscMPIInt    size;
2212   IS             crowp,lcolp;
2213   PetscErrorCode ierr;
2214 
2215   PetscFunctionBegin;
2216   ierr = PetscObjectGetComm((PetscObject)A,&comm);CHKERRQ(ierr);
2217   /* make a collective version of 'rowp' */
2218   ierr = PetscObjectGetComm((PetscObject)rowp,&pcomm);CHKERRQ(ierr);
2219   if (pcomm==comm) {
2220     crowp = rowp;
2221   } else {
2222     ierr = ISGetSize(rowp,&nrows);CHKERRQ(ierr);
2223     ierr = ISGetIndices(rowp,&rows);CHKERRQ(ierr);
2224     ierr = ISCreateGeneral(comm,nrows,rows,PETSC_COPY_VALUES,&crowp);CHKERRQ(ierr);
2225     ierr = ISRestoreIndices(rowp,&rows);CHKERRQ(ierr);
2226   }
2227   ierr = ISSetPermutation(crowp);CHKERRQ(ierr);
2228   /* make a local version of 'colp' */
2229   ierr = PetscObjectGetComm((PetscObject)colp,&pcomm);CHKERRQ(ierr);
2230   ierr = MPI_Comm_size(pcomm,&size);CHKERRQ(ierr);
2231   if (size==1) {
2232     lcolp = colp;
2233   } else {
2234     ierr = ISAllGather(colp,&lcolp);CHKERRQ(ierr);
2235   }
2236   ierr = ISSetPermutation(lcolp);CHKERRQ(ierr);
2237   /* now we just get the submatrix */
2238   ierr = MatGetLocalSize(A,NULL,&clocal_size);CHKERRQ(ierr);
2239   ierr = MatCreateSubMatrix_MPIBAIJ_Private(A,crowp,lcolp,clocal_size,MAT_INITIAL_MATRIX,B);CHKERRQ(ierr);
2240   /* clean up */
2241   if (pcomm!=comm) {
2242     ierr = ISDestroy(&crowp);CHKERRQ(ierr);
2243   }
2244   if (size>1) {
2245     ierr = ISDestroy(&lcolp);CHKERRQ(ierr);
2246   }
2247   PetscFunctionReturn(0);
2248 }
2249 
2250 PetscErrorCode  MatGetGhosts_MPIBAIJ(Mat mat,PetscInt *nghosts,const PetscInt *ghosts[])
2251 {
2252   Mat_MPIBAIJ *baij = (Mat_MPIBAIJ*) mat->data;
2253   Mat_SeqBAIJ *B    = (Mat_SeqBAIJ*)baij->B->data;
2254 
2255   PetscFunctionBegin;
2256   if (nghosts) *nghosts = B->nbs;
2257   if (ghosts) *ghosts = baij->garray;
2258   PetscFunctionReturn(0);
2259 }
2260 
2261 PetscErrorCode MatGetSeqNonzeroStructure_MPIBAIJ(Mat A,Mat *newmat)
2262 {
2263   Mat            B;
2264   Mat_MPIBAIJ    *a  = (Mat_MPIBAIJ*)A->data;
2265   Mat_SeqBAIJ    *ad = (Mat_SeqBAIJ*)a->A->data,*bd = (Mat_SeqBAIJ*)a->B->data;
2266   Mat_SeqAIJ     *b;
2267   PetscErrorCode ierr;
2268   PetscMPIInt    size,rank,*recvcounts = 0,*displs = 0;
2269   PetscInt       sendcount,i,*rstarts = A->rmap->range,n,cnt,j,bs = A->rmap->bs;
2270   PetscInt       m,*garray = a->garray,*lens,*jsendbuf,*a_jsendbuf,*b_jsendbuf;
2271 
2272   PetscFunctionBegin;
2273   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&size);CHKERRQ(ierr);
2274   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A),&rank);CHKERRQ(ierr);
2275 
2276   /* ----------------------------------------------------------------
2277      Tell every processor the number of nonzeros per row
2278   */
2279   ierr = PetscMalloc1(A->rmap->N/bs,&lens);CHKERRQ(ierr);
2280   for (i=A->rmap->rstart/bs; i<A->rmap->rend/bs; i++) {
2281     lens[i] = ad->i[i-A->rmap->rstart/bs+1] - ad->i[i-A->rmap->rstart/bs] + bd->i[i-A->rmap->rstart/bs+1] - bd->i[i-A->rmap->rstart/bs];
2282   }
2283   ierr      = PetscMalloc1(2*size,&recvcounts);CHKERRQ(ierr);
2284   displs    = recvcounts + size;
2285   for (i=0; i<size; i++) {
2286     recvcounts[i] = A->rmap->range[i+1]/bs - A->rmap->range[i]/bs;
2287     displs[i]     = A->rmap->range[i]/bs;
2288   }
2289 #if defined(PETSC_HAVE_MPI_IN_PLACE)
2290   ierr = MPI_Allgatherv(MPI_IN_PLACE,0,MPI_DATATYPE_NULL,lens,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2291 #else
2292   sendcount = A->rmap->rend/bs - A->rmap->rstart/bs;
2293   ierr = MPI_Allgatherv(lens+A->rmap->rstart/bs,sendcount,MPIU_INT,lens,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2294 #endif
2295   /* ---------------------------------------------------------------
2296      Create the sequential matrix of the same type as the local block diagonal
2297   */
2298   ierr = MatCreate(PETSC_COMM_SELF,&B);CHKERRQ(ierr);
2299   ierr = MatSetSizes(B,A->rmap->N/bs,A->cmap->N/bs,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2300   ierr = MatSetType(B,MATSEQAIJ);CHKERRQ(ierr);
2301   ierr = MatSeqAIJSetPreallocation(B,0,lens);CHKERRQ(ierr);
2302   b    = (Mat_SeqAIJ*)B->data;
2303 
2304   /*--------------------------------------------------------------------
2305     Copy my part of matrix column indices over
2306   */
2307   sendcount  = ad->nz + bd->nz;
2308   jsendbuf   = b->j + b->i[rstarts[rank]/bs];
2309   a_jsendbuf = ad->j;
2310   b_jsendbuf = bd->j;
2311   n          = A->rmap->rend/bs - A->rmap->rstart/bs;
2312   cnt        = 0;
2313   for (i=0; i<n; i++) {
2314 
2315     /* put in lower diagonal portion */
2316     m = bd->i[i+1] - bd->i[i];
2317     while (m > 0) {
2318       /* is it above diagonal (in bd (compressed) numbering) */
2319       if (garray[*b_jsendbuf] > A->rmap->rstart/bs + i) break;
2320       jsendbuf[cnt++] = garray[*b_jsendbuf++];
2321       m--;
2322     }
2323 
2324     /* put in diagonal portion */
2325     for (j=ad->i[i]; j<ad->i[i+1]; j++) {
2326       jsendbuf[cnt++] = A->rmap->rstart/bs + *a_jsendbuf++;
2327     }
2328 
2329     /* put in upper diagonal portion */
2330     while (m-- > 0) {
2331       jsendbuf[cnt++] = garray[*b_jsendbuf++];
2332     }
2333   }
2334   if (cnt != sendcount) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Corrupted PETSc matrix: nz given %D actual nz %D",sendcount,cnt);
2335 
2336   /*--------------------------------------------------------------------
2337     Gather all column indices to all processors
2338   */
2339   for (i=0; i<size; i++) {
2340     recvcounts[i] = 0;
2341     for (j=A->rmap->range[i]/bs; j<A->rmap->range[i+1]/bs; j++) {
2342       recvcounts[i] += lens[j];
2343     }
2344   }
2345   displs[0] = 0;
2346   for (i=1; i<size; i++) {
2347     displs[i] = displs[i-1] + recvcounts[i-1];
2348   }
2349 #if defined(PETSC_HAVE_MPI_IN_PLACE)
2350   ierr = MPI_Allgatherv(MPI_IN_PLACE,0,MPI_DATATYPE_NULL,b->j,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2351 #else
2352   ierr = MPI_Allgatherv(jsendbuf,sendcount,MPIU_INT,b->j,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2353 #endif
2354   /*--------------------------------------------------------------------
2355     Assemble the matrix into useable form (note numerical values not yet set)
2356   */
2357   /* set the b->ilen (length of each row) values */
2358   ierr = PetscMemcpy(b->ilen,lens,(A->rmap->N/bs)*sizeof(PetscInt));CHKERRQ(ierr);
2359   /* set the b->i indices */
2360   b->i[0] = 0;
2361   for (i=1; i<=A->rmap->N/bs; i++) {
2362     b->i[i] = b->i[i-1] + lens[i-1];
2363   }
2364   ierr = PetscFree(lens);CHKERRQ(ierr);
2365   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2366   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2367   ierr = PetscFree(recvcounts);CHKERRQ(ierr);
2368 
2369   if (A->symmetric) {
2370     ierr = MatSetOption(B,MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
2371   } else if (A->hermitian) {
2372     ierr = MatSetOption(B,MAT_HERMITIAN,PETSC_TRUE);CHKERRQ(ierr);
2373   } else if (A->structurally_symmetric) {
2374     ierr = MatSetOption(B,MAT_STRUCTURALLY_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
2375   }
2376   *newmat = B;
2377   PetscFunctionReturn(0);
2378 }
2379 
2380 PetscErrorCode MatSOR_MPIBAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2381 {
2382   Mat_MPIBAIJ    *mat = (Mat_MPIBAIJ*)matin->data;
2383   PetscErrorCode ierr;
2384   Vec            bb1 = 0;
2385 
2386   PetscFunctionBegin;
2387   if (flag == SOR_APPLY_UPPER) {
2388     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2389     PetscFunctionReturn(0);
2390   }
2391 
2392   if (its > 1 || ~flag & SOR_ZERO_INITIAL_GUESS) {
2393     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2394   }
2395 
2396   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
2397     if (flag & SOR_ZERO_INITIAL_GUESS) {
2398       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2399       its--;
2400     }
2401 
2402     while (its--) {
2403       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2404       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2405 
2406       /* update rhs: bb1 = bb - B*x */
2407       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2408       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);CHKERRQ(ierr);
2409 
2410       /* local sweep */
2411       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,1,xx);CHKERRQ(ierr);
2412     }
2413   } else if (flag & SOR_LOCAL_FORWARD_SWEEP) {
2414     if (flag & SOR_ZERO_INITIAL_GUESS) {
2415       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2416       its--;
2417     }
2418     while (its--) {
2419       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2420       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2421 
2422       /* update rhs: bb1 = bb - B*x */
2423       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2424       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);CHKERRQ(ierr);
2425 
2426       /* local sweep */
2427       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_FORWARD_SWEEP,fshift,lits,1,xx);CHKERRQ(ierr);
2428     }
2429   } else if (flag & SOR_LOCAL_BACKWARD_SWEEP) {
2430     if (flag & SOR_ZERO_INITIAL_GUESS) {
2431       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2432       its--;
2433     }
2434     while (its--) {
2435       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2436       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2437 
2438       /* update rhs: bb1 = bb - B*x */
2439       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2440       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);CHKERRQ(ierr);
2441 
2442       /* local sweep */
2443       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_BACKWARD_SWEEP,fshift,lits,1,xx);CHKERRQ(ierr);
2444     }
2445   } else SETERRQ(PetscObjectComm((PetscObject)matin),PETSC_ERR_SUP,"Parallel version of SOR requested not supported");
2446 
2447   ierr = VecDestroy(&bb1);CHKERRQ(ierr);
2448   PetscFunctionReturn(0);
2449 }
2450 
2451 PetscErrorCode MatGetColumnNorms_MPIBAIJ(Mat A,NormType type,PetscReal *norms)
2452 {
2453   PetscErrorCode ierr;
2454   Mat_MPIBAIJ    *aij = (Mat_MPIBAIJ*)A->data;
2455   PetscInt       N,i,*garray = aij->garray;
2456   PetscInt       ib,jb,bs = A->rmap->bs;
2457   Mat_SeqBAIJ    *a_aij = (Mat_SeqBAIJ*) aij->A->data;
2458   MatScalar      *a_val = a_aij->a;
2459   Mat_SeqBAIJ    *b_aij = (Mat_SeqBAIJ*) aij->B->data;
2460   MatScalar      *b_val = b_aij->a;
2461   PetscReal      *work;
2462 
2463   PetscFunctionBegin;
2464   ierr = MatGetSize(A,NULL,&N);CHKERRQ(ierr);
2465   ierr = PetscCalloc1(N,&work);CHKERRQ(ierr);
2466   if (type == NORM_2) {
2467     for (i=a_aij->i[0]; i<a_aij->i[aij->A->rmap->n/bs]; i++) {
2468       for (jb=0; jb<bs; jb++) {
2469         for (ib=0; ib<bs; ib++) {
2470           work[A->cmap->rstart + a_aij->j[i] * bs + jb] += PetscAbsScalar(*a_val * *a_val);
2471           a_val++;
2472         }
2473       }
2474     }
2475     for (i=b_aij->i[0]; i<b_aij->i[aij->B->rmap->n/bs]; i++) {
2476       for (jb=0; jb<bs; jb++) {
2477         for (ib=0; ib<bs; ib++) {
2478           work[garray[b_aij->j[i]] * bs + jb] += PetscAbsScalar(*b_val * *b_val);
2479           b_val++;
2480         }
2481       }
2482     }
2483   } else if (type == NORM_1) {
2484     for (i=a_aij->i[0]; i<a_aij->i[aij->A->rmap->n/bs]; i++) {
2485       for (jb=0; jb<bs; jb++) {
2486         for (ib=0; ib<bs; ib++) {
2487           work[A->cmap->rstart + a_aij->j[i] * bs + jb] += PetscAbsScalar(*a_val);
2488           a_val++;
2489         }
2490       }
2491     }
2492     for (i=b_aij->i[0]; i<b_aij->i[aij->B->rmap->n/bs]; i++) {
2493       for (jb=0; jb<bs; jb++) {
2494        for (ib=0; ib<bs; ib++) {
2495           work[garray[b_aij->j[i]] * bs + jb] += PetscAbsScalar(*b_val);
2496           b_val++;
2497         }
2498       }
2499     }
2500   } else if (type == NORM_INFINITY) {
2501     for (i=a_aij->i[0]; i<a_aij->i[aij->A->rmap->n/bs]; i++) {
2502       for (jb=0; jb<bs; jb++) {
2503         for (ib=0; ib<bs; ib++) {
2504           int col = A->cmap->rstart + a_aij->j[i] * bs + jb;
2505           work[col] = PetscMax(PetscAbsScalar(*a_val), work[col]);
2506           a_val++;
2507         }
2508       }
2509     }
2510     for (i=b_aij->i[0]; i<b_aij->i[aij->B->rmap->n/bs]; i++) {
2511       for (jb=0; jb<bs; jb++) {
2512         for (ib=0; ib<bs; ib++) {
2513           int col = garray[b_aij->j[i]] * bs + jb;
2514           work[col] = PetscMax(PetscAbsScalar(*b_val), work[col]);
2515           b_val++;
2516         }
2517       }
2518     }
2519   } else SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONG,"Unknown NormType");
2520   if (type == NORM_INFINITY) {
2521     ierr = MPIU_Allreduce(work,norms,N,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2522   } else {
2523     ierr = MPIU_Allreduce(work,norms,N,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2524   }
2525   ierr = PetscFree(work);CHKERRQ(ierr);
2526   if (type == NORM_2) {
2527     for (i=0; i<N; i++) norms[i] = PetscSqrtReal(norms[i]);
2528   }
2529   PetscFunctionReturn(0);
2530 }
2531 
2532 PetscErrorCode MatInvertBlockDiagonal_MPIBAIJ(Mat A,const PetscScalar **values)
2533 {
2534   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*) A->data;
2535   PetscErrorCode ierr;
2536 
2537   PetscFunctionBegin;
2538   ierr = MatInvertBlockDiagonal(a->A,values);CHKERRQ(ierr);
2539   A->factorerrortype             = a->A->factorerrortype;
2540   A->factorerror_zeropivot_value = a->A->factorerror_zeropivot_value;
2541   A->factorerror_zeropivot_row   = a->A->factorerror_zeropivot_row;
2542   PetscFunctionReturn(0);
2543 }
2544 
2545 PetscErrorCode MatShift_MPIBAIJ(Mat Y,PetscScalar a)
2546 {
2547   PetscErrorCode ierr;
2548   Mat_MPIBAIJ    *maij = (Mat_MPIBAIJ*)Y->data;
2549   Mat_SeqBAIJ    *aij = (Mat_SeqBAIJ*)maij->A->data;
2550 
2551   PetscFunctionBegin;
2552   if (!Y->preallocated) {
2553     ierr = MatMPIBAIJSetPreallocation(Y,Y->rmap->bs,1,NULL,0,NULL);CHKERRQ(ierr);
2554   } else if (!aij->nz) {
2555     PetscInt nonew = aij->nonew;
2556     ierr = MatSeqBAIJSetPreallocation(maij->A,Y->rmap->bs,1,NULL);CHKERRQ(ierr);
2557     aij->nonew = nonew;
2558   }
2559   ierr = MatShift_Basic(Y,a);CHKERRQ(ierr);
2560   PetscFunctionReturn(0);
2561 }
2562 
2563 PetscErrorCode MatMissingDiagonal_MPIBAIJ(Mat A,PetscBool  *missing,PetscInt *d)
2564 {
2565   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
2566   PetscErrorCode ierr;
2567 
2568   PetscFunctionBegin;
2569   if (A->rmap->n != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only works for square matrices");
2570   ierr = MatMissingDiagonal(a->A,missing,d);CHKERRQ(ierr);
2571   if (d) {
2572     PetscInt rstart;
2573     ierr = MatGetOwnershipRange(A,&rstart,NULL);CHKERRQ(ierr);
2574     *d += rstart/A->rmap->bs;
2575 
2576   }
2577   PetscFunctionReturn(0);
2578 }
2579 
2580 PetscErrorCode  MatGetDiagonalBlock_MPIBAIJ(Mat A,Mat *a)
2581 {
2582   PetscFunctionBegin;
2583   *a = ((Mat_MPIBAIJ*)A->data)->A;
2584   PetscFunctionReturn(0);
2585 }
2586 
2587 /* -------------------------------------------------------------------*/
2588 static struct _MatOps MatOps_Values = {MatSetValues_MPIBAIJ,
2589                                        MatGetRow_MPIBAIJ,
2590                                        MatRestoreRow_MPIBAIJ,
2591                                        MatMult_MPIBAIJ,
2592                                 /* 4*/ MatMultAdd_MPIBAIJ,
2593                                        MatMultTranspose_MPIBAIJ,
2594                                        MatMultTransposeAdd_MPIBAIJ,
2595                                        0,
2596                                        0,
2597                                        0,
2598                                 /*10*/ 0,
2599                                        0,
2600                                        0,
2601                                        MatSOR_MPIBAIJ,
2602                                        MatTranspose_MPIBAIJ,
2603                                 /*15*/ MatGetInfo_MPIBAIJ,
2604                                        MatEqual_MPIBAIJ,
2605                                        MatGetDiagonal_MPIBAIJ,
2606                                        MatDiagonalScale_MPIBAIJ,
2607                                        MatNorm_MPIBAIJ,
2608                                 /*20*/ MatAssemblyBegin_MPIBAIJ,
2609                                        MatAssemblyEnd_MPIBAIJ,
2610                                        MatSetOption_MPIBAIJ,
2611                                        MatZeroEntries_MPIBAIJ,
2612                                 /*24*/ MatZeroRows_MPIBAIJ,
2613                                        0,
2614                                        0,
2615                                        0,
2616                                        0,
2617                                 /*29*/ MatSetUp_MPIBAIJ,
2618                                        0,
2619                                        0,
2620                                        MatGetDiagonalBlock_MPIBAIJ,
2621                                        0,
2622                                 /*34*/ MatDuplicate_MPIBAIJ,
2623                                        0,
2624                                        0,
2625                                        0,
2626                                        0,
2627                                 /*39*/ MatAXPY_MPIBAIJ,
2628                                        MatCreateSubMatrices_MPIBAIJ,
2629                                        MatIncreaseOverlap_MPIBAIJ,
2630                                        MatGetValues_MPIBAIJ,
2631                                        MatCopy_MPIBAIJ,
2632                                 /*44*/ 0,
2633                                        MatScale_MPIBAIJ,
2634                                        MatShift_MPIBAIJ,
2635                                        0,
2636                                        MatZeroRowsColumns_MPIBAIJ,
2637                                 /*49*/ 0,
2638                                        0,
2639                                        0,
2640                                        0,
2641                                        0,
2642                                 /*54*/ MatFDColoringCreate_MPIXAIJ,
2643                                        0,
2644                                        MatSetUnfactored_MPIBAIJ,
2645                                        MatPermute_MPIBAIJ,
2646                                        MatSetValuesBlocked_MPIBAIJ,
2647                                 /*59*/ MatCreateSubMatrix_MPIBAIJ,
2648                                        MatDestroy_MPIBAIJ,
2649                                        MatView_MPIBAIJ,
2650                                        0,
2651                                        0,
2652                                 /*64*/ 0,
2653                                        0,
2654                                        0,
2655                                        0,
2656                                        0,
2657                                 /*69*/ MatGetRowMaxAbs_MPIBAIJ,
2658                                        0,
2659                                        0,
2660                                        0,
2661                                        0,
2662                                 /*74*/ 0,
2663                                        MatFDColoringApply_BAIJ,
2664                                        0,
2665                                        0,
2666                                        0,
2667                                 /*79*/ 0,
2668                                        0,
2669                                        0,
2670                                        0,
2671                                        MatLoad_MPIBAIJ,
2672                                 /*84*/ 0,
2673                                        0,
2674                                        0,
2675                                        0,
2676                                        0,
2677                                 /*89*/ 0,
2678                                        0,
2679                                        0,
2680                                        0,
2681                                        0,
2682                                 /*94*/ 0,
2683                                        0,
2684                                        0,
2685                                        0,
2686                                        0,
2687                                 /*99*/ 0,
2688                                        0,
2689                                        0,
2690                                        0,
2691                                        0,
2692                                 /*104*/0,
2693                                        MatRealPart_MPIBAIJ,
2694                                        MatImaginaryPart_MPIBAIJ,
2695                                        0,
2696                                        0,
2697                                 /*109*/0,
2698                                        0,
2699                                        0,
2700                                        0,
2701                                        MatMissingDiagonal_MPIBAIJ,
2702                                 /*114*/MatGetSeqNonzeroStructure_MPIBAIJ,
2703                                        0,
2704                                        MatGetGhosts_MPIBAIJ,
2705                                        0,
2706                                        0,
2707                                 /*119*/0,
2708                                        0,
2709                                        0,
2710                                        0,
2711                                        MatGetMultiProcBlock_MPIBAIJ,
2712                                 /*124*/0,
2713                                        MatGetColumnNorms_MPIBAIJ,
2714                                        MatInvertBlockDiagonal_MPIBAIJ,
2715                                        0,
2716                                        0,
2717                                /*129*/ 0,
2718                                        0,
2719                                        0,
2720                                        0,
2721                                        0,
2722                                /*134*/ 0,
2723                                        0,
2724                                        0,
2725                                        0,
2726                                        0,
2727                                /*139*/ MatSetBlockSizes_Default,
2728                                        0,
2729                                        0,
2730                                        MatFDColoringSetUp_MPIXAIJ,
2731                                        0,
2732                                 /*144*/MatCreateMPIMatConcatenateSeqMat_MPIBAIJ
2733 };
2734 
2735 
2736 PETSC_INTERN PetscErrorCode MatConvert_MPIBAIJ_MPISBAIJ(Mat, MatType,MatReuse,Mat*);
2737 
2738 PetscErrorCode MatMPIBAIJSetPreallocationCSR_MPIBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
2739 {
2740   PetscInt       m,rstart,cstart,cend;
2741   PetscInt       i,j,dlen,olen,nz,nz_max=0,*d_nnz=0,*o_nnz=0;
2742   const PetscInt *JJ    =0;
2743   PetscScalar    *values=0;
2744   PetscBool      roworiented = ((Mat_MPIBAIJ*)B->data)->roworiented;
2745   PetscErrorCode ierr;
2746 
2747   PetscFunctionBegin;
2748   ierr   = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
2749   ierr   = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
2750   ierr   = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
2751   ierr   = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
2752   ierr   = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
2753   m      = B->rmap->n/bs;
2754   rstart = B->rmap->rstart/bs;
2755   cstart = B->cmap->rstart/bs;
2756   cend   = B->cmap->rend/bs;
2757 
2758   if (ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"ii[0] must be 0 but it is %D",ii[0]);
2759   ierr = PetscMalloc2(m,&d_nnz,m,&o_nnz);CHKERRQ(ierr);
2760   for (i=0; i<m; i++) {
2761     nz = ii[i+1] - ii[i];
2762     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Local row %D has a negative number of columns %D",i,nz);
2763     nz_max = PetscMax(nz_max,nz);
2764     dlen   = 0;
2765     olen   = 0;
2766     JJ     = jj + ii[i];
2767     for (j=0; j<nz; j++) {
2768       if (*JJ < cstart || *JJ >= cend) olen++;
2769       else dlen++;
2770       JJ++;
2771     }
2772     d_nnz[i] = dlen;
2773     o_nnz[i] = olen;
2774   }
2775   ierr = MatMPIBAIJSetPreallocation(B,bs,0,d_nnz,0,o_nnz);CHKERRQ(ierr);
2776   ierr = PetscFree2(d_nnz,o_nnz);CHKERRQ(ierr);
2777 
2778   values = (PetscScalar*)V;
2779   if (!values) {
2780     ierr = PetscCalloc1(bs*bs*nz_max,&values);CHKERRQ(ierr);
2781   }
2782   for (i=0; i<m; i++) {
2783     PetscInt          row    = i + rstart;
2784     PetscInt          ncols  = ii[i+1] - ii[i];
2785     const PetscInt    *icols = jj + ii[i];
2786     if (!roworiented) {         /* block ordering matches the non-nested layout of MatSetValues so we can insert entire rows */
2787       const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
2788       ierr = MatSetValuesBlocked_MPIBAIJ(B,1,&row,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
2789     } else {                    /* block ordering does not match so we can only insert one block at a time. */
2790       PetscInt j;
2791       for (j=0; j<ncols; j++) {
2792         const PetscScalar *svals = values + (V ? (bs*bs*(ii[i]+j)) : 0);
2793         ierr = MatSetValuesBlocked_MPIBAIJ(B,1,&row,1,&icols[j],svals,INSERT_VALUES);CHKERRQ(ierr);
2794       }
2795     }
2796   }
2797 
2798   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
2799   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2800   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2801   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
2802   PetscFunctionReturn(0);
2803 }
2804 
2805 /*@C
2806    MatMPIBAIJSetPreallocationCSR - Allocates memory for a sparse parallel matrix in BAIJ format
2807    (the default parallel PETSc format).
2808 
2809    Collective on MPI_Comm
2810 
2811    Input Parameters:
2812 +  B - the matrix
2813 .  bs - the block size
2814 .  i - the indices into j for the start of each local row (starts with zero)
2815 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
2816 -  v - optional values in the matrix
2817 
2818    Level: developer
2819 
2820    Notes: The order of the entries in values is specified by the MatOption MAT_ROW_ORIENTED.  For example, C programs
2821    may want to use the default MAT_ROW_ORIENTED=PETSC_TRUE and use an array v[nnz][bs][bs] where the second index is
2822    over rows within a block and the last index is over columns within a block row.  Fortran programs will likely set
2823    MAT_ROW_ORIENTED=PETSC_FALSE and use a Fortran array v(bs,bs,nnz) in which the first index is over rows within a
2824    block column and the second index is over columns within a block.
2825 
2826 .keywords: matrix, aij, compressed row, sparse, parallel
2827 
2828 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIBAIJSetPreallocation(), MatCreateAIJ(), MPIAIJ, MatCreateMPIBAIJWithArrays(), MPIBAIJ
2829 @*/
2830 PetscErrorCode  MatMPIBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
2831 {
2832   PetscErrorCode ierr;
2833 
2834   PetscFunctionBegin;
2835   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
2836   PetscValidType(B,1);
2837   PetscValidLogicalCollectiveInt(B,bs,2);
2838   ierr = PetscTryMethod(B,"MatMPIBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));CHKERRQ(ierr);
2839   PetscFunctionReturn(0);
2840 }
2841 
2842 PetscErrorCode  MatMPIBAIJSetPreallocation_MPIBAIJ(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt *d_nnz,PetscInt o_nz,const PetscInt *o_nnz)
2843 {
2844   Mat_MPIBAIJ    *b;
2845   PetscErrorCode ierr;
2846   PetscInt       i;
2847 
2848   PetscFunctionBegin;
2849   ierr = MatSetBlockSize(B,PetscAbs(bs));CHKERRQ(ierr);
2850   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
2851   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
2852   ierr = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
2853 
2854   if (d_nnz) {
2855     for (i=0; i<B->rmap->n/bs; i++) {
2856       if (d_nnz[i] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"d_nnz cannot be less than -1: local row %D value %D",i,d_nnz[i]);
2857     }
2858   }
2859   if (o_nnz) {
2860     for (i=0; i<B->rmap->n/bs; i++) {
2861       if (o_nnz[i] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"o_nnz cannot be less than -1: local row %D value %D",i,o_nnz[i]);
2862     }
2863   }
2864 
2865   b      = (Mat_MPIBAIJ*)B->data;
2866   b->bs2 = bs*bs;
2867   b->mbs = B->rmap->n/bs;
2868   b->nbs = B->cmap->n/bs;
2869   b->Mbs = B->rmap->N/bs;
2870   b->Nbs = B->cmap->N/bs;
2871 
2872   for (i=0; i<=b->size; i++) {
2873     b->rangebs[i] = B->rmap->range[i]/bs;
2874   }
2875   b->rstartbs = B->rmap->rstart/bs;
2876   b->rendbs   = B->rmap->rend/bs;
2877   b->cstartbs = B->cmap->rstart/bs;
2878   b->cendbs   = B->cmap->rend/bs;
2879 
2880 #if defined(PETSC_USE_CTABLE)
2881   ierr = PetscTableDestroy(&b->colmap);CHKERRQ(ierr);
2882 #else
2883   ierr = PetscFree(b->colmap);CHKERRQ(ierr);
2884 #endif
2885   ierr = PetscFree(b->garray);CHKERRQ(ierr);
2886   ierr = VecDestroy(&b->lvec);CHKERRQ(ierr);
2887   ierr = VecScatterDestroy(&b->Mvctx);CHKERRQ(ierr);
2888 
2889   /* Because the B will have been resized we simply destroy it and create a new one each time */
2890   ierr = MatDestroy(&b->B);CHKERRQ(ierr);
2891   ierr = MatCreate(PETSC_COMM_SELF,&b->B);CHKERRQ(ierr);
2892   ierr = MatSetSizes(b->B,B->rmap->n,B->cmap->N,B->rmap->n,B->cmap->N);CHKERRQ(ierr);
2893   ierr = MatSetType(b->B,MATSEQBAIJ);CHKERRQ(ierr);
2894   ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->B);CHKERRQ(ierr);
2895 
2896   if (!B->preallocated) {
2897     ierr = MatCreate(PETSC_COMM_SELF,&b->A);CHKERRQ(ierr);
2898     ierr = MatSetSizes(b->A,B->rmap->n,B->cmap->n,B->rmap->n,B->cmap->n);CHKERRQ(ierr);
2899     ierr = MatSetType(b->A,MATSEQBAIJ);CHKERRQ(ierr);
2900     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->A);CHKERRQ(ierr);
2901     ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),bs,&B->bstash);CHKERRQ(ierr);
2902   }
2903 
2904   ierr = MatSeqBAIJSetPreallocation(b->A,bs,d_nz,d_nnz);CHKERRQ(ierr);
2905   ierr = MatSeqBAIJSetPreallocation(b->B,bs,o_nz,o_nnz);CHKERRQ(ierr);
2906   B->preallocated  = PETSC_TRUE;
2907   B->was_assembled = PETSC_FALSE;
2908   B->assembled     = PETSC_FALSE;
2909   PetscFunctionReturn(0);
2910 }
2911 
2912 extern PetscErrorCode  MatDiagonalScaleLocal_MPIBAIJ(Mat,Vec);
2913 extern PetscErrorCode  MatSetHashTableFactor_MPIBAIJ(Mat,PetscReal);
2914 
2915 PETSC_INTERN PetscErrorCode MatConvert_MPIBAIJ_MPIAdj(Mat B, MatType newtype,MatReuse reuse,Mat *adj)
2916 {
2917   Mat_MPIBAIJ    *b = (Mat_MPIBAIJ*)B->data;
2918   PetscErrorCode ierr;
2919   Mat_SeqBAIJ    *d  = (Mat_SeqBAIJ*) b->A->data,*o = (Mat_SeqBAIJ*) b->B->data;
2920   PetscInt       M   = B->rmap->n/B->rmap->bs,i,*ii,*jj,cnt,j,k,rstart = B->rmap->rstart/B->rmap->bs;
2921   const PetscInt *id = d->i, *jd = d->j, *io = o->i, *jo = o->j, *garray = b->garray;
2922 
2923   PetscFunctionBegin;
2924   ierr  = PetscMalloc1(M+1,&ii);CHKERRQ(ierr);
2925   ii[0] = 0;
2926   for (i=0; i<M; i++) {
2927     if ((id[i+1] - id[i]) < 0) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Indices wrong %D %D %D",i,id[i],id[i+1]);
2928     if ((io[i+1] - io[i]) < 0) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Indices wrong %D %D %D",i,io[i],io[i+1]);
2929     ii[i+1] = ii[i] + id[i+1] - id[i] + io[i+1] - io[i];
2930     /* remove one from count of matrix has diagonal */
2931     for (j=id[i]; j<id[i+1]; j++) {
2932       if (jd[j] == i) {ii[i+1]--;break;}
2933     }
2934   }
2935   ierr = PetscMalloc1(ii[M],&jj);CHKERRQ(ierr);
2936   cnt  = 0;
2937   for (i=0; i<M; i++) {
2938     for (j=io[i]; j<io[i+1]; j++) {
2939       if (garray[jo[j]] > rstart) break;
2940       jj[cnt++] = garray[jo[j]];
2941     }
2942     for (k=id[i]; k<id[i+1]; k++) {
2943       if (jd[k] != i) {
2944         jj[cnt++] = rstart + jd[k];
2945       }
2946     }
2947     for (; j<io[i+1]; j++) {
2948       jj[cnt++] = garray[jo[j]];
2949     }
2950   }
2951   ierr = MatCreateMPIAdj(PetscObjectComm((PetscObject)B),M,B->cmap->N/B->rmap->bs,ii,jj,NULL,adj);CHKERRQ(ierr);
2952   PetscFunctionReturn(0);
2953 }
2954 
2955 #include <../src/mat/impls/aij/mpi/mpiaij.h>
2956 
2957 PETSC_INTERN PetscErrorCode MatConvert_SeqBAIJ_SeqAIJ(Mat,MatType,MatReuse,Mat*);
2958 
2959 PETSC_INTERN PetscErrorCode MatConvert_MPIBAIJ_MPIAIJ(Mat A,MatType newtype,MatReuse reuse,Mat *newmat)
2960 {
2961   PetscErrorCode ierr;
2962   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
2963   Mat            B;
2964   Mat_MPIAIJ     *b;
2965 
2966   PetscFunctionBegin;
2967   if (!A->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Matrix must be assembled");
2968 
2969   if (reuse == MAT_REUSE_MATRIX) {
2970     B = *newmat;
2971   } else {
2972     ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2973     ierr = MatSetType(B,MATMPIAIJ);CHKERRQ(ierr);
2974     ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2975     ierr = MatSetBlockSizes(B,A->rmap->bs,A->cmap->bs);CHKERRQ(ierr);
2976     ierr = MatSeqAIJSetPreallocation(B,0,NULL);CHKERRQ(ierr);
2977     ierr = MatMPIAIJSetPreallocation(B,0,NULL,0,NULL);CHKERRQ(ierr);
2978   }
2979   b = (Mat_MPIAIJ*) B->data;
2980 
2981   if (reuse == MAT_REUSE_MATRIX) {
2982     ierr = MatConvert_SeqBAIJ_SeqAIJ(a->A, MATSEQAIJ, MAT_REUSE_MATRIX, &b->A);CHKERRQ(ierr);
2983     ierr = MatConvert_SeqBAIJ_SeqAIJ(a->B, MATSEQAIJ, MAT_REUSE_MATRIX, &b->B);CHKERRQ(ierr);
2984   } else {
2985     ierr = MatDestroy(&b->A);CHKERRQ(ierr);
2986     ierr = MatDestroy(&b->B);CHKERRQ(ierr);
2987     ierr = MatDisAssemble_MPIBAIJ(A);CHKERRQ(ierr);
2988     ierr = MatConvert_SeqBAIJ_SeqAIJ(a->A, MATSEQAIJ, MAT_INITIAL_MATRIX, &b->A);CHKERRQ(ierr);
2989     ierr = MatConvert_SeqBAIJ_SeqAIJ(a->B, MATSEQAIJ, MAT_INITIAL_MATRIX, &b->B);CHKERRQ(ierr);
2990     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2991     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2992   }
2993   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2994   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2995 
2996   if (reuse == MAT_INPLACE_MATRIX) {
2997     ierr = MatHeaderReplace(A,&B);CHKERRQ(ierr);
2998   } else {
2999    *newmat = B;
3000   }
3001   PetscFunctionReturn(0);
3002 }
3003 
3004 /*MC
3005    MATMPIBAIJ - MATMPIBAIJ = "mpibaij" - A matrix type to be used for distributed block sparse matrices.
3006 
3007    Options Database Keys:
3008 + -mat_type mpibaij - sets the matrix type to "mpibaij" during a call to MatSetFromOptions()
3009 . -mat_block_size <bs> - set the blocksize used to store the matrix
3010 - -mat_use_hash_table <fact>
3011 
3012   Level: beginner
3013 
3014 .seealso: MatCreateMPIBAIJ
3015 M*/
3016 
3017 PETSC_INTERN PetscErrorCode MatConvert_MPIBAIJ_MPIBSTRM(Mat,MatType,MatReuse,Mat*);
3018 
3019 PETSC_EXTERN PetscErrorCode MatCreate_MPIBAIJ(Mat B)
3020 {
3021   Mat_MPIBAIJ    *b;
3022   PetscErrorCode ierr;
3023   PetscBool      flg = PETSC_FALSE;
3024 
3025   PetscFunctionBegin;
3026   ierr    = PetscNewLog(B,&b);CHKERRQ(ierr);
3027   B->data = (void*)b;
3028 
3029   ierr         = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
3030   B->assembled = PETSC_FALSE;
3031 
3032   B->insertmode = NOT_SET_VALUES;
3033   ierr          = MPI_Comm_rank(PetscObjectComm((PetscObject)B),&b->rank);CHKERRQ(ierr);
3034   ierr          = MPI_Comm_size(PetscObjectComm((PetscObject)B),&b->size);CHKERRQ(ierr);
3035 
3036   /* build local table of row and column ownerships */
3037   ierr = PetscMalloc1(b->size+1,&b->rangebs);CHKERRQ(ierr);
3038 
3039   /* build cache for off array entries formed */
3040   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),1,&B->stash);CHKERRQ(ierr);
3041 
3042   b->donotstash  = PETSC_FALSE;
3043   b->colmap      = NULL;
3044   b->garray      = NULL;
3045   b->roworiented = PETSC_TRUE;
3046 
3047   /* stuff used in block assembly */
3048   b->barray = 0;
3049 
3050   /* stuff used for matrix vector multiply */
3051   b->lvec  = 0;
3052   b->Mvctx = 0;
3053 
3054   /* stuff for MatGetRow() */
3055   b->rowindices   = 0;
3056   b->rowvalues    = 0;
3057   b->getrowactive = PETSC_FALSE;
3058 
3059   /* hash table stuff */
3060   b->ht           = 0;
3061   b->hd           = 0;
3062   b->ht_size      = 0;
3063   b->ht_flag      = PETSC_FALSE;
3064   b->ht_fact      = 0;
3065   b->ht_total_ct  = 0;
3066   b->ht_insert_ct = 0;
3067 
3068   /* stuff for MatCreateSubMatrices_MPIBAIJ_local() */
3069   b->ijonly = PETSC_FALSE;
3070 
3071 
3072   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpiadj_C",MatConvert_MPIBAIJ_MPIAdj);CHKERRQ(ierr);
3073   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpiaij_C",MatConvert_MPIBAIJ_MPIAIJ);CHKERRQ(ierr);
3074   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpisbaij_C",MatConvert_MPIBAIJ_MPISBAIJ);CHKERRQ(ierr);
3075 #if defined(PETSC_HAVE_HYPRE)
3076   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_hypre_C",MatConvert_AIJ_HYPRE);CHKERRQ(ierr);
3077 #endif
3078   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_MPIBAIJ);CHKERRQ(ierr);
3079   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_MPIBAIJ);CHKERRQ(ierr);
3080   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPIBAIJSetPreallocation_C",MatMPIBAIJSetPreallocation_MPIBAIJ);CHKERRQ(ierr);
3081   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPIBAIJSetPreallocationCSR_C",MatMPIBAIJSetPreallocationCSR_MPIBAIJ);CHKERRQ(ierr);
3082   ierr = PetscObjectComposeFunction((PetscObject)B,"MatDiagonalScaleLocal_C",MatDiagonalScaleLocal_MPIBAIJ);CHKERRQ(ierr);
3083   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSetHashTableFactor_C",MatSetHashTableFactor_MPIBAIJ);CHKERRQ(ierr);
3084   ierr = PetscObjectChangeTypeName((PetscObject)B,MATMPIBAIJ);CHKERRQ(ierr);
3085 
3086   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)B),NULL,"Options for loading MPIBAIJ matrix 1","Mat");CHKERRQ(ierr);
3087   ierr = PetscOptionsName("-mat_use_hash_table","Use hash table to save time in constructing matrix","MatSetOption",&flg);CHKERRQ(ierr);
3088   if (flg) {
3089     PetscReal fact = 1.39;
3090     ierr = MatSetOption(B,MAT_USE_HASH_TABLE,PETSC_TRUE);CHKERRQ(ierr);
3091     ierr = PetscOptionsReal("-mat_use_hash_table","Use hash table factor","MatMPIBAIJSetHashTableFactor",fact,&fact,NULL);CHKERRQ(ierr);
3092     if (fact <= 1.0) fact = 1.39;
3093     ierr = MatMPIBAIJSetHashTableFactor(B,fact);CHKERRQ(ierr);
3094     ierr = PetscInfo1(B,"Hash table Factor used %5.2f\n",fact);CHKERRQ(ierr);
3095   }
3096   ierr = PetscOptionsEnd();CHKERRQ(ierr);
3097   PetscFunctionReturn(0);
3098 }
3099 
3100 /*MC
3101    MATBAIJ - MATBAIJ = "baij" - A matrix type to be used for block sparse matrices.
3102 
3103    This matrix type is identical to MATSEQBAIJ when constructed with a single process communicator,
3104    and MATMPIBAIJ otherwise.
3105 
3106    Options Database Keys:
3107 . -mat_type baij - sets the matrix type to "baij" during a call to MatSetFromOptions()
3108 
3109   Level: beginner
3110 
3111 .seealso: MatCreateBAIJ(),MATSEQBAIJ,MATMPIBAIJ, MatMPIBAIJSetPreallocation(), MatMPIBAIJSetPreallocationCSR()
3112 M*/
3113 
3114 /*@C
3115    MatMPIBAIJSetPreallocation - Allocates memory for a sparse parallel matrix in block AIJ format
3116    (block compressed row).  For good matrix assembly performance
3117    the user should preallocate the matrix storage by setting the parameters
3118    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
3119    performance can be increased by more than a factor of 50.
3120 
3121    Collective on Mat
3122 
3123    Input Parameters:
3124 +  B - the matrix
3125 .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
3126           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
3127 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
3128            submatrix  (same for all local rows)
3129 .  d_nnz - array containing the number of block nonzeros in the various block rows
3130            of the in diagonal portion of the local (possibly different for each block
3131            row) or NULL.  If you plan to factor the matrix you must leave room for the diagonal entry and
3132            set it even if it is zero.
3133 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
3134            submatrix (same for all local rows).
3135 -  o_nnz - array containing the number of nonzeros in the various block rows of the
3136            off-diagonal portion of the local submatrix (possibly different for
3137            each block row) or NULL.
3138 
3139    If the *_nnz parameter is given then the *_nz parameter is ignored
3140 
3141    Options Database Keys:
3142 +   -mat_block_size - size of the blocks to use
3143 -   -mat_use_hash_table <fact>
3144 
3145    Notes:
3146    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
3147    than it must be used on all processors that share the object for that argument.
3148 
3149    Storage Information:
3150    For a square global matrix we define each processor's diagonal portion
3151    to be its local rows and the corresponding columns (a square submatrix);
3152    each processor's off-diagonal portion encompasses the remainder of the
3153    local matrix (a rectangular submatrix).
3154 
3155    The user can specify preallocated storage for the diagonal part of
3156    the local submatrix with either d_nz or d_nnz (not both).  Set
3157    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
3158    memory allocation.  Likewise, specify preallocated storage for the
3159    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
3160 
3161    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
3162    the figure below we depict these three local rows and all columns (0-11).
3163 
3164 .vb
3165            0 1 2 3 4 5 6 7 8 9 10 11
3166           --------------------------
3167    row 3  |o o o d d d o o o o  o  o
3168    row 4  |o o o d d d o o o o  o  o
3169    row 5  |o o o d d d o o o o  o  o
3170           --------------------------
3171 .ve
3172 
3173    Thus, any entries in the d locations are stored in the d (diagonal)
3174    submatrix, and any entries in the o locations are stored in the
3175    o (off-diagonal) submatrix.  Note that the d and the o submatrices are
3176    stored simply in the MATSEQBAIJ format for compressed row storage.
3177 
3178    Now d_nz should indicate the number of block nonzeros per row in the d matrix,
3179    and o_nz should indicate the number of block nonzeros per row in the o matrix.
3180    In general, for PDE problems in which most nonzeros are near the diagonal,
3181    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
3182    or you will get TERRIBLE performance; see the users' manual chapter on
3183    matrices.
3184 
3185    You can call MatGetInfo() to get information on how effective the preallocation was;
3186    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3187    You can also run with the option -info and look for messages with the string
3188    malloc in them to see if additional memory allocation was needed.
3189 
3190    Level: intermediate
3191 
3192 .keywords: matrix, block, aij, compressed row, sparse, parallel
3193 
3194 .seealso: MatCreate(), MatCreateSeqBAIJ(), MatSetValues(), MatCreateBAIJ(), MatMPIBAIJSetPreallocationCSR(), PetscSplitOwnership()
3195 @*/
3196 PetscErrorCode  MatMPIBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
3197 {
3198   PetscErrorCode ierr;
3199 
3200   PetscFunctionBegin;
3201   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3202   PetscValidType(B,1);
3203   PetscValidLogicalCollectiveInt(B,bs,2);
3204   ierr = PetscTryMethod(B,"MatMPIBAIJSetPreallocation_C",(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]),(B,bs,d_nz,d_nnz,o_nz,o_nnz));CHKERRQ(ierr);
3205   PetscFunctionReturn(0);
3206 }
3207 
3208 /*@C
3209    MatCreateBAIJ - Creates a sparse parallel matrix in block AIJ format
3210    (block compressed row).  For good matrix assembly performance
3211    the user should preallocate the matrix storage by setting the parameters
3212    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
3213    performance can be increased by more than a factor of 50.
3214 
3215    Collective on MPI_Comm
3216 
3217    Input Parameters:
3218 +  comm - MPI communicator
3219 .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
3220           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
3221 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
3222            This value should be the same as the local size used in creating the
3223            y vector for the matrix-vector product y = Ax.
3224 .  n - number of local columns (or PETSC_DECIDE to have calculated if N is given)
3225            This value should be the same as the local size used in creating the
3226            x vector for the matrix-vector product y = Ax.
3227 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
3228 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
3229 .  d_nz  - number of nonzero blocks per block row in diagonal portion of local
3230            submatrix  (same for all local rows)
3231 .  d_nnz - array containing the number of nonzero blocks in the various block rows
3232            of the in diagonal portion of the local (possibly different for each block
3233            row) or NULL.  If you plan to factor the matrix you must leave room for the diagonal entry
3234            and set it even if it is zero.
3235 .  o_nz  - number of nonzero blocks per block row in the off-diagonal portion of local
3236            submatrix (same for all local rows).
3237 -  o_nnz - array containing the number of nonzero blocks in the various block rows of the
3238            off-diagonal portion of the local submatrix (possibly different for
3239            each block row) or NULL.
3240 
3241    Output Parameter:
3242 .  A - the matrix
3243 
3244    Options Database Keys:
3245 +   -mat_block_size - size of the blocks to use
3246 -   -mat_use_hash_table <fact>
3247 
3248    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3249    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3250    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3251 
3252    Notes:
3253    If the *_nnz parameter is given then the *_nz parameter is ignored
3254 
3255    A nonzero block is any block that as 1 or more nonzeros in it
3256 
3257    The user MUST specify either the local or global matrix dimensions
3258    (possibly both).
3259 
3260    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
3261    than it must be used on all processors that share the object for that argument.
3262 
3263    Storage Information:
3264    For a square global matrix we define each processor's diagonal portion
3265    to be its local rows and the corresponding columns (a square submatrix);
3266    each processor's off-diagonal portion encompasses the remainder of the
3267    local matrix (a rectangular submatrix).
3268 
3269    The user can specify preallocated storage for the diagonal part of
3270    the local submatrix with either d_nz or d_nnz (not both).  Set
3271    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
3272    memory allocation.  Likewise, specify preallocated storage for the
3273    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
3274 
3275    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
3276    the figure below we depict these three local rows and all columns (0-11).
3277 
3278 .vb
3279            0 1 2 3 4 5 6 7 8 9 10 11
3280           --------------------------
3281    row 3  |o o o d d d o o o o  o  o
3282    row 4  |o o o d d d o o o o  o  o
3283    row 5  |o o o d d d o o o o  o  o
3284           --------------------------
3285 .ve
3286 
3287    Thus, any entries in the d locations are stored in the d (diagonal)
3288    submatrix, and any entries in the o locations are stored in the
3289    o (off-diagonal) submatrix.  Note that the d and the o submatrices are
3290    stored simply in the MATSEQBAIJ format for compressed row storage.
3291 
3292    Now d_nz should indicate the number of block nonzeros per row in the d matrix,
3293    and o_nz should indicate the number of block nonzeros per row in the o matrix.
3294    In general, for PDE problems in which most nonzeros are near the diagonal,
3295    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
3296    or you will get TERRIBLE performance; see the users' manual chapter on
3297    matrices.
3298 
3299    Level: intermediate
3300 
3301 .keywords: matrix, block, aij, compressed row, sparse, parallel
3302 
3303 .seealso: MatCreate(), MatCreateSeqBAIJ(), MatSetValues(), MatCreateBAIJ(), MatMPIBAIJSetPreallocation(), MatMPIBAIJSetPreallocationCSR()
3304 @*/
3305 PetscErrorCode  MatCreateBAIJ(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)
3306 {
3307   PetscErrorCode ierr;
3308   PetscMPIInt    size;
3309 
3310   PetscFunctionBegin;
3311   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3312   ierr = MatSetSizes(*A,m,n,M,N);CHKERRQ(ierr);
3313   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3314   if (size > 1) {
3315     ierr = MatSetType(*A,MATMPIBAIJ);CHKERRQ(ierr);
3316     ierr = MatMPIBAIJSetPreallocation(*A,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
3317   } else {
3318     ierr = MatSetType(*A,MATSEQBAIJ);CHKERRQ(ierr);
3319     ierr = MatSeqBAIJSetPreallocation(*A,bs,d_nz,d_nnz);CHKERRQ(ierr);
3320   }
3321   PetscFunctionReturn(0);
3322 }
3323 
3324 static PetscErrorCode MatDuplicate_MPIBAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
3325 {
3326   Mat            mat;
3327   Mat_MPIBAIJ    *a,*oldmat = (Mat_MPIBAIJ*)matin->data;
3328   PetscErrorCode ierr;
3329   PetscInt       len=0;
3330 
3331   PetscFunctionBegin;
3332   *newmat = 0;
3333   ierr    = MatCreate(PetscObjectComm((PetscObject)matin),&mat);CHKERRQ(ierr);
3334   ierr    = MatSetSizes(mat,matin->rmap->n,matin->cmap->n,matin->rmap->N,matin->cmap->N);CHKERRQ(ierr);
3335   ierr    = MatSetType(mat,((PetscObject)matin)->type_name);CHKERRQ(ierr);
3336   ierr    = PetscMemcpy(mat->ops,matin->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
3337 
3338   mat->factortype   = matin->factortype;
3339   mat->preallocated = PETSC_TRUE;
3340   mat->assembled    = PETSC_TRUE;
3341   mat->insertmode   = NOT_SET_VALUES;
3342 
3343   a             = (Mat_MPIBAIJ*)mat->data;
3344   mat->rmap->bs = matin->rmap->bs;
3345   a->bs2        = oldmat->bs2;
3346   a->mbs        = oldmat->mbs;
3347   a->nbs        = oldmat->nbs;
3348   a->Mbs        = oldmat->Mbs;
3349   a->Nbs        = oldmat->Nbs;
3350 
3351   ierr = PetscLayoutReference(matin->rmap,&mat->rmap);CHKERRQ(ierr);
3352   ierr = PetscLayoutReference(matin->cmap,&mat->cmap);CHKERRQ(ierr);
3353 
3354   a->size         = oldmat->size;
3355   a->rank         = oldmat->rank;
3356   a->donotstash   = oldmat->donotstash;
3357   a->roworiented  = oldmat->roworiented;
3358   a->rowindices   = 0;
3359   a->rowvalues    = 0;
3360   a->getrowactive = PETSC_FALSE;
3361   a->barray       = 0;
3362   a->rstartbs     = oldmat->rstartbs;
3363   a->rendbs       = oldmat->rendbs;
3364   a->cstartbs     = oldmat->cstartbs;
3365   a->cendbs       = oldmat->cendbs;
3366 
3367   /* hash table stuff */
3368   a->ht           = 0;
3369   a->hd           = 0;
3370   a->ht_size      = 0;
3371   a->ht_flag      = oldmat->ht_flag;
3372   a->ht_fact      = oldmat->ht_fact;
3373   a->ht_total_ct  = 0;
3374   a->ht_insert_ct = 0;
3375 
3376   ierr = PetscMemcpy(a->rangebs,oldmat->rangebs,(a->size+1)*sizeof(PetscInt));CHKERRQ(ierr);
3377   if (oldmat->colmap) {
3378 #if defined(PETSC_USE_CTABLE)
3379     ierr = PetscTableCreateCopy(oldmat->colmap,&a->colmap);CHKERRQ(ierr);
3380 #else
3381     ierr = PetscMalloc1(a->Nbs,&a->colmap);CHKERRQ(ierr);
3382     ierr = PetscLogObjectMemory((PetscObject)mat,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
3383     ierr = PetscMemcpy(a->colmap,oldmat->colmap,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
3384 #endif
3385   } else a->colmap = 0;
3386 
3387   if (oldmat->garray && (len = ((Mat_SeqBAIJ*)(oldmat->B->data))->nbs)) {
3388     ierr = PetscMalloc1(len,&a->garray);CHKERRQ(ierr);
3389     ierr = PetscLogObjectMemory((PetscObject)mat,len*sizeof(PetscInt));CHKERRQ(ierr);
3390     ierr = PetscMemcpy(a->garray,oldmat->garray,len*sizeof(PetscInt));CHKERRQ(ierr);
3391   } else a->garray = 0;
3392 
3393   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)matin),matin->rmap->bs,&mat->bstash);CHKERRQ(ierr);
3394   ierr = VecDuplicate(oldmat->lvec,&a->lvec);CHKERRQ(ierr);
3395   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->lvec);CHKERRQ(ierr);
3396   ierr = VecScatterCopy(oldmat->Mvctx,&a->Mvctx);CHKERRQ(ierr);
3397   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->Mvctx);CHKERRQ(ierr);
3398 
3399   ierr    = MatDuplicate(oldmat->A,cpvalues,&a->A);CHKERRQ(ierr);
3400   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->A);CHKERRQ(ierr);
3401   ierr    = MatDuplicate(oldmat->B,cpvalues,&a->B);CHKERRQ(ierr);
3402   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->B);CHKERRQ(ierr);
3403   ierr    = PetscFunctionListDuplicate(((PetscObject)matin)->qlist,&((PetscObject)mat)->qlist);CHKERRQ(ierr);
3404   *newmat = mat;
3405   PetscFunctionReturn(0);
3406 }
3407 
3408 PetscErrorCode MatLoad_MPIBAIJ(Mat newmat,PetscViewer viewer)
3409 {
3410   PetscErrorCode ierr;
3411   int            fd;
3412   PetscInt       i,nz,j,rstart,rend;
3413   PetscScalar    *vals,*buf;
3414   MPI_Comm       comm;
3415   MPI_Status     status;
3416   PetscMPIInt    rank,size,maxnz;
3417   PetscInt       header[4],*rowlengths = 0,M,N,m,*rowners,*cols;
3418   PetscInt       *locrowlens = NULL,*procsnz = NULL,*browners = NULL;
3419   PetscInt       jj,*mycols,*ibuf,bs = newmat->rmap->bs,Mbs,mbs,extra_rows,mmax;
3420   PetscMPIInt    tag    = ((PetscObject)viewer)->tag;
3421   PetscInt       *dlens = NULL,*odlens = NULL,*mask = NULL,*masked1 = NULL,*masked2 = NULL,rowcount,odcount;
3422   PetscInt       dcount,kmax,k,nzcount,tmp,mend;
3423 
3424   PetscFunctionBegin;
3425   /* force binary viewer to load .info file if it has not yet done so */
3426   ierr = PetscViewerSetUp(viewer);CHKERRQ(ierr);
3427   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
3428   ierr = PetscOptionsBegin(comm,NULL,"Options for loading MPIBAIJ matrix 2","Mat");CHKERRQ(ierr);
3429   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
3430   ierr = PetscOptionsEnd();CHKERRQ(ierr);
3431   if (bs < 0) bs = 1;
3432 
3433   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3434   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
3435   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
3436   if (!rank) {
3437     ierr = PetscBinaryRead(fd,(char*)header,4,PETSC_INT);CHKERRQ(ierr);
3438     if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
3439     if (header[3] < 0) SETERRQ(PetscObjectComm((PetscObject)newmat),PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk, cannot load as MPIAIJ");
3440   }
3441   ierr = MPI_Bcast(header+1,3,MPIU_INT,0,comm);CHKERRQ(ierr);
3442   M    = header[1]; N = header[2];
3443 
3444   /* If global sizes are set, check if they are consistent with that given in the file */
3445   if (newmat->rmap->N >= 0 && newmat->rmap->N != M) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Inconsistent # of rows:Matrix in file has (%D) and input matrix has (%D)",newmat->rmap->N,M);
3446   if (newmat->cmap->N >= 0 && newmat->cmap->N != N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Inconsistent # of cols:Matrix in file has (%D) and input matrix has (%D)",newmat->cmap->N,N);
3447 
3448   if (M != N) SETERRQ(PetscObjectComm((PetscObject)viewer),PETSC_ERR_SUP,"Can only do square matrices");
3449 
3450   /*
3451      This code adds extra rows to make sure the number of rows is
3452      divisible by the blocksize
3453   */
3454   Mbs        = M/bs;
3455   extra_rows = bs - M + bs*Mbs;
3456   if (extra_rows == bs) extra_rows = 0;
3457   else                  Mbs++;
3458   if (extra_rows && !rank) {
3459     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
3460   }
3461 
3462   /* determine ownership of all rows */
3463   if (newmat->rmap->n < 0) { /* PETSC_DECIDE */
3464     mbs = Mbs/size + ((Mbs % size) > rank);
3465     m   = mbs*bs;
3466   } else { /* User set */
3467     m   = newmat->rmap->n;
3468     mbs = m/bs;
3469   }
3470   ierr = PetscMalloc2(size+1,&rowners,size+1,&browners);CHKERRQ(ierr);
3471   ierr = MPI_Allgather(&mbs,1,MPIU_INT,rowners+1,1,MPIU_INT,comm);CHKERRQ(ierr);
3472 
3473   /* process 0 needs enough room for process with most rows */
3474   if (!rank) {
3475     mmax = rowners[1];
3476     for (i=2; i<=size; i++) {
3477       mmax = PetscMax(mmax,rowners[i]);
3478     }
3479     mmax*=bs;
3480   } else mmax = -1;             /* unused, but compiler warns anyway */
3481 
3482   rowners[0] = 0;
3483   for (i=2; i<=size; i++) rowners[i] += rowners[i-1];
3484   for (i=0; i<=size; i++) browners[i] = rowners[i]*bs;
3485   rstart = rowners[rank];
3486   rend   = rowners[rank+1];
3487 
3488   /* distribute row lengths to all processors */
3489   ierr = PetscMalloc1(m,&locrowlens);CHKERRQ(ierr);
3490   if (!rank) {
3491     mend = m;
3492     if (size == 1) mend = mend - extra_rows;
3493     ierr = PetscBinaryRead(fd,locrowlens,mend,PETSC_INT);CHKERRQ(ierr);
3494     for (j=mend; j<m; j++) locrowlens[j] = 1;
3495     ierr = PetscMalloc1(mmax,&rowlengths);CHKERRQ(ierr);
3496     ierr = PetscCalloc1(size,&procsnz);CHKERRQ(ierr);
3497     for (j=0; j<m; j++) {
3498       procsnz[0] += locrowlens[j];
3499     }
3500     for (i=1; i<size; i++) {
3501       mend = browners[i+1] - browners[i];
3502       if (i == size-1) mend = mend - extra_rows;
3503       ierr = PetscBinaryRead(fd,rowlengths,mend,PETSC_INT);CHKERRQ(ierr);
3504       for (j=mend; j<browners[i+1] - browners[i]; j++) rowlengths[j] = 1;
3505       /* calculate the number of nonzeros on each processor */
3506       for (j=0; j<browners[i+1]-browners[i]; j++) {
3507         procsnz[i] += rowlengths[j];
3508       }
3509       ierr = MPI_Send(rowlengths,browners[i+1]-browners[i],MPIU_INT,i,tag,comm);CHKERRQ(ierr);
3510     }
3511     ierr = PetscFree(rowlengths);CHKERRQ(ierr);
3512   } else {
3513     ierr = MPI_Recv(locrowlens,m,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
3514   }
3515 
3516   if (!rank) {
3517     /* determine max buffer needed and allocate it */
3518     maxnz = procsnz[0];
3519     for (i=1; i<size; i++) {
3520       maxnz = PetscMax(maxnz,procsnz[i]);
3521     }
3522     ierr = PetscMalloc1(maxnz,&cols);CHKERRQ(ierr);
3523 
3524     /* read in my part of the matrix column indices  */
3525     nz     = procsnz[0];
3526     ierr   = PetscMalloc1(nz+1,&ibuf);CHKERRQ(ierr);
3527     mycols = ibuf;
3528     if (size == 1) nz -= extra_rows;
3529     ierr = PetscBinaryRead(fd,mycols,nz,PETSC_INT);CHKERRQ(ierr);
3530     if (size == 1) {
3531       for (i=0; i< extra_rows; i++) mycols[nz+i] = M+i;
3532     }
3533 
3534     /* read in every ones (except the last) and ship off */
3535     for (i=1; i<size-1; i++) {
3536       nz   = procsnz[i];
3537       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
3538       ierr = MPI_Send(cols,nz,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
3539     }
3540     /* read in the stuff for the last proc */
3541     if (size != 1) {
3542       nz   = procsnz[size-1] - extra_rows;  /* the extra rows are not on the disk */
3543       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
3544       for (i=0; i<extra_rows; i++) cols[nz+i] = M+i;
3545       ierr = MPI_Send(cols,nz+extra_rows,MPIU_INT,size-1,tag,comm);CHKERRQ(ierr);
3546     }
3547     ierr = PetscFree(cols);CHKERRQ(ierr);
3548   } else {
3549     /* determine buffer space needed for message */
3550     nz = 0;
3551     for (i=0; i<m; i++) {
3552       nz += locrowlens[i];
3553     }
3554     ierr   = PetscMalloc1(nz+1,&ibuf);CHKERRQ(ierr);
3555     mycols = ibuf;
3556     /* receive message of column indices*/
3557     ierr = MPI_Recv(mycols,nz,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
3558     ierr = MPI_Get_count(&status,MPIU_INT,&maxnz);CHKERRQ(ierr);
3559     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
3560   }
3561 
3562   /* loop over local rows, determining number of off diagonal entries */
3563   ierr     = PetscMalloc2(rend-rstart,&dlens,rend-rstart,&odlens);CHKERRQ(ierr);
3564   ierr     = PetscCalloc3(Mbs,&mask,Mbs,&masked1,Mbs,&masked2);CHKERRQ(ierr);
3565   rowcount = 0; nzcount = 0;
3566   for (i=0; i<mbs; i++) {
3567     dcount  = 0;
3568     odcount = 0;
3569     for (j=0; j<bs; j++) {
3570       kmax = locrowlens[rowcount];
3571       for (k=0; k<kmax; k++) {
3572         tmp = mycols[nzcount++]/bs;
3573         if (!mask[tmp]) {
3574           mask[tmp] = 1;
3575           if (tmp < rstart || tmp >= rend) masked2[odcount++] = tmp;
3576           else masked1[dcount++] = tmp;
3577         }
3578       }
3579       rowcount++;
3580     }
3581 
3582     dlens[i]  = dcount;
3583     odlens[i] = odcount;
3584 
3585     /* zero out the mask elements we set */
3586     for (j=0; j<dcount; j++) mask[masked1[j]] = 0;
3587     for (j=0; j<odcount; j++) mask[masked2[j]] = 0;
3588   }
3589 
3590   ierr = MatSetSizes(newmat,m,m,M+extra_rows,N+extra_rows);CHKERRQ(ierr);
3591   ierr = MatMPIBAIJSetPreallocation(newmat,bs,0,dlens,0,odlens);CHKERRQ(ierr);
3592 
3593   if (!rank) {
3594     ierr = PetscMalloc1(maxnz+1,&buf);CHKERRQ(ierr);
3595     /* read in my part of the matrix numerical values  */
3596     nz     = procsnz[0];
3597     vals   = buf;
3598     mycols = ibuf;
3599     if (size == 1) nz -= extra_rows;
3600     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3601     if (size == 1) {
3602       for (i=0; i< extra_rows; i++) vals[nz+i] = 1.0;
3603     }
3604 
3605     /* insert into matrix */
3606     jj = rstart*bs;
3607     for (i=0; i<m; i++) {
3608       ierr    = MatSetValues_MPIBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
3609       mycols += locrowlens[i];
3610       vals   += locrowlens[i];
3611       jj++;
3612     }
3613     /* read in other processors (except the last one) and ship out */
3614     for (i=1; i<size-1; i++) {
3615       nz   = procsnz[i];
3616       vals = buf;
3617       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3618       ierr = MPIULong_Send(vals,nz,MPIU_SCALAR,i,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
3619     }
3620     /* the last proc */
3621     if (size != 1) {
3622       nz   = procsnz[i] - extra_rows;
3623       vals = buf;
3624       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3625       for (i=0; i<extra_rows; i++) vals[nz+i] = 1.0;
3626       ierr = MPIULong_Send(vals,nz+extra_rows,MPIU_SCALAR,size-1,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
3627     }
3628     ierr = PetscFree(procsnz);CHKERRQ(ierr);
3629   } else {
3630     /* receive numeric values */
3631     ierr = PetscMalloc1(nz+1,&buf);CHKERRQ(ierr);
3632 
3633     /* receive message of values*/
3634     vals   = buf;
3635     mycols = ibuf;
3636     ierr   = MPIULong_Recv(vals,nz,MPIU_SCALAR,0,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
3637 
3638     /* insert into matrix */
3639     jj = rstart*bs;
3640     for (i=0; i<m; i++) {
3641       ierr    = MatSetValues_MPIBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
3642       mycols += locrowlens[i];
3643       vals   += locrowlens[i];
3644       jj++;
3645     }
3646   }
3647   ierr = PetscFree(locrowlens);CHKERRQ(ierr);
3648   ierr = PetscFree(buf);CHKERRQ(ierr);
3649   ierr = PetscFree(ibuf);CHKERRQ(ierr);
3650   ierr = PetscFree2(rowners,browners);CHKERRQ(ierr);
3651   ierr = PetscFree2(dlens,odlens);CHKERRQ(ierr);
3652   ierr = PetscFree3(mask,masked1,masked2);CHKERRQ(ierr);
3653   ierr = MatAssemblyBegin(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3654   ierr = MatAssemblyEnd(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3655   PetscFunctionReturn(0);
3656 }
3657 
3658 /*@
3659    MatMPIBAIJSetHashTableFactor - Sets the factor required to compute the size of the HashTable.
3660 
3661    Input Parameters:
3662 .  mat  - the matrix
3663 .  fact - factor
3664 
3665    Not Collective, each process can use a different factor
3666 
3667    Level: advanced
3668 
3669   Notes:
3670    This can also be set by the command line option: -mat_use_hash_table <fact>
3671 
3672 .keywords: matrix, hashtable, factor, HT
3673 
3674 .seealso: MatSetOption()
3675 @*/
3676 PetscErrorCode  MatMPIBAIJSetHashTableFactor(Mat mat,PetscReal fact)
3677 {
3678   PetscErrorCode ierr;
3679 
3680   PetscFunctionBegin;
3681   ierr = PetscTryMethod(mat,"MatSetHashTableFactor_C",(Mat,PetscReal),(mat,fact));CHKERRQ(ierr);
3682   PetscFunctionReturn(0);
3683 }
3684 
3685 PetscErrorCode  MatSetHashTableFactor_MPIBAIJ(Mat mat,PetscReal fact)
3686 {
3687   Mat_MPIBAIJ *baij;
3688 
3689   PetscFunctionBegin;
3690   baij          = (Mat_MPIBAIJ*)mat->data;
3691   baij->ht_fact = fact;
3692   PetscFunctionReturn(0);
3693 }
3694 
3695 PetscErrorCode  MatMPIBAIJGetSeqBAIJ(Mat A,Mat *Ad,Mat *Ao,const PetscInt *colmap[])
3696 {
3697   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
3698   PetscBool      flg;
3699   PetscErrorCode ierr;
3700 
3701   PetscFunctionBegin;
3702   ierr = PetscObjectTypeCompare((PetscObject)A,MATMPIBAIJ,&flg);CHKERRQ(ierr);
3703   if (!flg) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"This function requires a MATMPIBAIJ matrix as input");
3704   if (Ad)     *Ad     = a->A;
3705   if (Ao)     *Ao     = a->B;
3706   if (colmap) *colmap = a->garray;
3707   PetscFunctionReturn(0);
3708 }
3709 
3710 /*
3711     Special version for direct calls from Fortran (to eliminate two function call overheads
3712 */
3713 #if defined(PETSC_HAVE_FORTRAN_CAPS)
3714 #define matmpibaijsetvaluesblocked_ MATMPIBAIJSETVALUESBLOCKED
3715 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
3716 #define matmpibaijsetvaluesblocked_ matmpibaijsetvaluesblocked
3717 #endif
3718 
3719 /*@C
3720   MatMPIBAIJSetValuesBlocked - Direct Fortran call to replace call to MatSetValuesBlocked()
3721 
3722   Collective on Mat
3723 
3724   Input Parameters:
3725 + mat - the matrix
3726 . min - number of input rows
3727 . im - input rows
3728 . nin - number of input columns
3729 . in - input columns
3730 . v - numerical values input
3731 - addvin - INSERT_VALUES or ADD_VALUES
3732 
3733   Notes: This has a complete copy of MatSetValuesBlocked_MPIBAIJ() which is terrible code un-reuse.
3734 
3735   Level: advanced
3736 
3737 .seealso:   MatSetValuesBlocked()
3738 @*/
3739 PetscErrorCode matmpibaijsetvaluesblocked_(Mat *matin,PetscInt *min,const PetscInt im[],PetscInt *nin,const PetscInt in[],const MatScalar v[],InsertMode *addvin)
3740 {
3741   /* convert input arguments to C version */
3742   Mat        mat  = *matin;
3743   PetscInt   m    = *min, n = *nin;
3744   InsertMode addv = *addvin;
3745 
3746   Mat_MPIBAIJ     *baij = (Mat_MPIBAIJ*)mat->data;
3747   const MatScalar *value;
3748   MatScalar       *barray     = baij->barray;
3749   PetscBool       roworiented = baij->roworiented;
3750   PetscErrorCode  ierr;
3751   PetscInt        i,j,ii,jj,row,col,rstart=baij->rstartbs;
3752   PetscInt        rend=baij->rendbs,cstart=baij->cstartbs,stepval;
3753   PetscInt        cend=baij->cendbs,bs=mat->rmap->bs,bs2=baij->bs2;
3754 
3755   PetscFunctionBegin;
3756   /* tasks normally handled by MatSetValuesBlocked() */
3757   if (mat->insertmode == NOT_SET_VALUES) mat->insertmode = addv;
3758 #if defined(PETSC_USE_DEBUG)
3759   else if (mat->insertmode != addv) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
3760   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3761 #endif
3762   if (mat->assembled) {
3763     mat->was_assembled = PETSC_TRUE;
3764     mat->assembled     = PETSC_FALSE;
3765   }
3766   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
3767 
3768 
3769   if (!barray) {
3770     ierr         = PetscMalloc1(bs2,&barray);CHKERRQ(ierr);
3771     baij->barray = barray;
3772   }
3773 
3774   if (roworiented) stepval = (n-1)*bs;
3775   else stepval = (m-1)*bs;
3776 
3777   for (i=0; i<m; i++) {
3778     if (im[i] < 0) continue;
3779 #if defined(PETSC_USE_DEBUG)
3780     if (im[i] >= baij->Mbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large, row %D max %D",im[i],baij->Mbs-1);
3781 #endif
3782     if (im[i] >= rstart && im[i] < rend) {
3783       row = im[i] - rstart;
3784       for (j=0; j<n; j++) {
3785         /* If NumCol = 1 then a copy is not required */
3786         if ((roworiented) && (n == 1)) {
3787           barray = (MatScalar*)v + i*bs2;
3788         } else if ((!roworiented) && (m == 1)) {
3789           barray = (MatScalar*)v + j*bs2;
3790         } else { /* Here a copy is required */
3791           if (roworiented) {
3792             value = v + i*(stepval+bs)*bs + j*bs;
3793           } else {
3794             value = v + j*(stepval+bs)*bs + i*bs;
3795           }
3796           for (ii=0; ii<bs; ii++,value+=stepval) {
3797             for (jj=0; jj<bs; jj++) {
3798               *barray++ = *value++;
3799             }
3800           }
3801           barray -=bs2;
3802         }
3803 
3804         if (in[j] >= cstart && in[j] < cend) {
3805           col  = in[j] - cstart;
3806           ierr = MatSetValuesBlocked_SeqBAIJ_Inlined(baij->A,row,col,barray,addv,im[i],in[j]);CHKERRQ(ierr);
3807         } else if (in[j] < 0) continue;
3808 #if defined(PETSC_USE_DEBUG)
3809         else if (in[j] >= baij->Nbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large, col %D max %D",in[j],baij->Nbs-1);
3810 #endif
3811         else {
3812           if (mat->was_assembled) {
3813             if (!baij->colmap) {
3814               ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
3815             }
3816 
3817 #if defined(PETSC_USE_DEBUG)
3818 #if defined(PETSC_USE_CTABLE)
3819             { PetscInt data;
3820               ierr = PetscTableFind(baij->colmap,in[j]+1,&data);CHKERRQ(ierr);
3821               if ((data - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
3822             }
3823 #else
3824             if ((baij->colmap[in[j]] - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
3825 #endif
3826 #endif
3827 #if defined(PETSC_USE_CTABLE)
3828             ierr = PetscTableFind(baij->colmap,in[j]+1,&col);CHKERRQ(ierr);
3829             col  = (col - 1)/bs;
3830 #else
3831             col = (baij->colmap[in[j]] - 1)/bs;
3832 #endif
3833             if (col < 0 && !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
3834               ierr = MatDisAssemble_MPIBAIJ(mat);CHKERRQ(ierr);
3835               col  =  in[j];
3836             }
3837           } else col = in[j];
3838           ierr = MatSetValuesBlocked_SeqBAIJ_Inlined(baij->B,row,col,barray,addv,im[i],in[j]);CHKERRQ(ierr);
3839         }
3840       }
3841     } else {
3842       if (!baij->donotstash) {
3843         if (roworiented) {
3844           ierr = MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
3845         } else {
3846           ierr = MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
3847         }
3848       }
3849     }
3850   }
3851 
3852   /* task normally handled by MatSetValuesBlocked() */
3853   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
3854   PetscFunctionReturn(0);
3855 }
3856 
3857 /*@
3858      MatCreateMPIBAIJWithArrays - creates a MPI BAIJ matrix using arrays that contain in standard
3859          CSR format the local rows.
3860 
3861    Collective on MPI_Comm
3862 
3863    Input Parameters:
3864 +  comm - MPI communicator
3865 .  bs - the block size, only a block size of 1 is supported
3866 .  m - number of local rows (Cannot be PETSC_DECIDE)
3867 .  n - This value should be the same as the local size used in creating the
3868        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
3869        calculated if N is given) For square matrices n is almost always m.
3870 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
3871 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
3872 .   i - row indices
3873 .   j - column indices
3874 -   a - matrix values
3875 
3876    Output Parameter:
3877 .   mat - the matrix
3878 
3879    Level: intermediate
3880 
3881    Notes:
3882        The i, j, and a arrays ARE copied by this routine into the internal format used by PETSc;
3883      thus you CANNOT change the matrix entries by changing the values of a[] after you have
3884      called this routine. Use MatCreateMPIAIJWithSplitArrays() to avoid needing to copy the arrays.
3885 
3886      The order of the entries in values is the same as the block compressed sparse row storage format; that is, it is
3887      the same as a three dimensional array in Fortran values(bs,bs,nnz) that contains the first column of the first
3888      block, followed by the second column of the first block etc etc.  That is, the blocks are contiguous in memory
3889      with column-major ordering within blocks.
3890 
3891        The i and j indices are 0 based, and i indices are indices corresponding to the local j array.
3892 
3893 .keywords: matrix, aij, compressed row, sparse, parallel
3894 
3895 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
3896           MPIAIJ, MatCreateAIJ(), MatCreateMPIAIJWithSplitArrays()
3897 @*/
3898 PetscErrorCode  MatCreateMPIBAIJWithArrays(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt i[],const PetscInt j[],const PetscScalar a[],Mat *mat)
3899 {
3900   PetscErrorCode ierr;
3901 
3902   PetscFunctionBegin;
3903   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
3904   if (m < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"local number of rows (m) cannot be PETSC_DECIDE, or negative");
3905   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
3906   ierr = MatSetSizes(*mat,m,n,M,N);CHKERRQ(ierr);
3907   ierr = MatSetType(*mat,MATMPIBAIJ);CHKERRQ(ierr);
3908   ierr = MatSetBlockSize(*mat,bs);CHKERRQ(ierr);
3909   ierr = MatSetUp(*mat);CHKERRQ(ierr);
3910   ierr = MatSetOption(*mat,MAT_ROW_ORIENTED,PETSC_FALSE);CHKERRQ(ierr);
3911   ierr = MatMPIBAIJSetPreallocationCSR(*mat,bs,i,j,a);CHKERRQ(ierr);
3912   ierr = MatSetOption(*mat,MAT_ROW_ORIENTED,PETSC_TRUE);CHKERRQ(ierr);
3913   PetscFunctionReturn(0);
3914 }
3915 
3916 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_MPIBAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
3917 {
3918   PetscErrorCode ierr;
3919   PetscInt       m,N,i,rstart,nnz,Ii,bs,cbs;
3920   PetscInt       *indx;
3921   PetscScalar    *values;
3922 
3923   PetscFunctionBegin;
3924   ierr = MatGetSize(inmat,&m,&N);CHKERRQ(ierr);
3925   if (scall == MAT_INITIAL_MATRIX) { /* symbolic phase */
3926     Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)inmat->data;
3927     PetscInt       *dnz,*onz,mbs,Nbs,nbs;
3928     PetscInt       *bindx,rmax=a->rmax,j;
3929     PetscMPIInt    rank,size;
3930 
3931     ierr = MatGetBlockSizes(inmat,&bs,&cbs);CHKERRQ(ierr);
3932     mbs = m/bs; Nbs = N/cbs;
3933     if (n == PETSC_DECIDE) {
3934       nbs  = n;
3935       ierr = PetscSplitOwnership(comm,&nbs,&Nbs);CHKERRQ(ierr);
3936       n    = nbs*cbs;
3937     } else {
3938       nbs = n/cbs;
3939     }
3940 
3941     ierr = PetscMalloc1(rmax,&bindx);CHKERRQ(ierr);
3942     ierr = MatPreallocateInitialize(comm,mbs,nbs,dnz,onz);CHKERRQ(ierr); /* inline function, output __end and __rstart are used below */
3943 
3944     ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
3945     ierr = MPI_Comm_rank(comm,&size);CHKERRQ(ierr);
3946     if (rank == size-1) {
3947       /* Check sum(nbs) = Nbs */
3948       if (__end != Nbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Sum of local block columns %D != global block columns %D",__end,Nbs);
3949     }
3950 
3951     rstart = __rstart; /* block rstart of *outmat; see inline function MatPreallocateInitialize */
3952     for (i=0; i<mbs; i++) {
3953       ierr = MatGetRow_SeqBAIJ(inmat,i*bs,&nnz,&indx,NULL);CHKERRQ(ierr); /* non-blocked nnz and indx */
3954       nnz = nnz/bs;
3955       for (j=0; j<nnz; j++) bindx[j] = indx[j*bs]/bs;
3956       ierr = MatPreallocateSet(i+rstart,nnz,bindx,dnz,onz);CHKERRQ(ierr);
3957       ierr = MatRestoreRow_SeqBAIJ(inmat,i*bs,&nnz,&indx,NULL);CHKERRQ(ierr);
3958     }
3959     ierr = PetscFree(bindx);CHKERRQ(ierr);
3960 
3961     ierr = MatCreate(comm,outmat);CHKERRQ(ierr);
3962     ierr = MatSetSizes(*outmat,m,n,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
3963     ierr = MatSetBlockSizes(*outmat,bs,cbs);CHKERRQ(ierr);
3964     ierr = MatSetType(*outmat,MATBAIJ);CHKERRQ(ierr);
3965     ierr = MatSeqBAIJSetPreallocation(*outmat,bs,0,dnz);CHKERRQ(ierr);
3966     ierr = MatMPIBAIJSetPreallocation(*outmat,bs,0,dnz,0,onz);CHKERRQ(ierr);
3967     ierr = MatPreallocateFinalize(dnz,onz);CHKERRQ(ierr);
3968   }
3969 
3970   /* numeric phase */
3971   ierr = MatGetBlockSizes(inmat,&bs,&cbs);CHKERRQ(ierr);
3972   ierr = MatGetOwnershipRange(*outmat,&rstart,NULL);CHKERRQ(ierr);
3973 
3974   for (i=0; i<m; i++) {
3975     ierr = MatGetRow_SeqBAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
3976     Ii   = i + rstart;
3977     ierr = MatSetValues(*outmat,1,&Ii,nnz,indx,values,INSERT_VALUES);CHKERRQ(ierr);
3978     ierr = MatRestoreRow_SeqBAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
3979   }
3980   ierr = MatAssemblyBegin(*outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3981   ierr = MatAssemblyEnd(*outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3982   PetscFunctionReturn(0);
3983 }
3984