xref: /petsc/src/mat/impls/baij/mpi/mpibaij.c (revision 3d96e9964ff330fd2a9eee374bcd4376da7efe60)
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 %D\n",
1020                                                 rank,mat->rmap->n,(PetscInt)info.nz_used,(PetscInt)info.nz_allocated,mat->rmap->bs,(PetscInt)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_INPLACE_MATRIX && M != N) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Square matrix only for in-place");
1675   if (reuse == MAT_INITIAL_MATRIX || reuse == MAT_INPLACE_MATRIX) {
1676     ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
1677     ierr = MatSetSizes(B,A->cmap->n,A->rmap->n,N,M);CHKERRQ(ierr);
1678     ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
1679     /* Do not know preallocation information, but must set block size */
1680     ierr = MatMPIBAIJSetPreallocation(B,A->rmap->bs,PETSC_DECIDE,NULL,PETSC_DECIDE,NULL);CHKERRQ(ierr);
1681   } else {
1682     B = *matout;
1683   }
1684 
1685   /* copy over the A part */
1686   Aloc = (Mat_SeqBAIJ*)baij->A->data;
1687   ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
1688   ierr = PetscMalloc1(bs,&rvals);CHKERRQ(ierr);
1689 
1690   for (i=0; i<mbs; i++) {
1691     rvals[0] = bs*(baij->rstartbs + i);
1692     for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
1693     for (j=ai[i]; j<ai[i+1]; j++) {
1694       col = (baij->cstartbs+aj[j])*bs;
1695       for (k=0; k<bs; k++) {
1696         ierr = MatSetValues_MPIBAIJ(B,1,&col,bs,rvals,a,INSERT_VALUES);CHKERRQ(ierr);
1697 
1698         col++; a += bs;
1699       }
1700     }
1701   }
1702   /* copy over the B part */
1703   Aloc = (Mat_SeqBAIJ*)baij->B->data;
1704   ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
1705   for (i=0; i<mbs; i++) {
1706     rvals[0] = bs*(baij->rstartbs + i);
1707     for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
1708     for (j=ai[i]; j<ai[i+1]; j++) {
1709       col = baij->garray[aj[j]]*bs;
1710       for (k=0; k<bs; k++) {
1711         ierr = MatSetValues_MPIBAIJ(B,1,&col,bs,rvals,a,INSERT_VALUES);CHKERRQ(ierr);
1712         col++;
1713         a += bs;
1714       }
1715     }
1716   }
1717   ierr = PetscFree(rvals);CHKERRQ(ierr);
1718   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1719   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1720 
1721   if (reuse == MAT_INITIAL_MATRIX || reuse == MAT_REUSE_MATRIX) *matout = B;
1722   else {
1723     ierr = MatHeaderMerge(A,&B);CHKERRQ(ierr);
1724   }
1725   PetscFunctionReturn(0);
1726 }
1727 
1728 PetscErrorCode MatDiagonalScale_MPIBAIJ(Mat mat,Vec ll,Vec rr)
1729 {
1730   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
1731   Mat            a     = baij->A,b = baij->B;
1732   PetscErrorCode ierr;
1733   PetscInt       s1,s2,s3;
1734 
1735   PetscFunctionBegin;
1736   ierr = MatGetLocalSize(mat,&s2,&s3);CHKERRQ(ierr);
1737   if (rr) {
1738     ierr = VecGetLocalSize(rr,&s1);CHKERRQ(ierr);
1739     if (s1!=s3) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"right vector non-conforming local size");
1740     /* Overlap communication with computation. */
1741     ierr = VecScatterBegin(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1742   }
1743   if (ll) {
1744     ierr = VecGetLocalSize(ll,&s1);CHKERRQ(ierr);
1745     if (s1!=s2) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"left vector non-conforming local size");
1746     ierr = (*b->ops->diagonalscale)(b,ll,NULL);CHKERRQ(ierr);
1747   }
1748   /* scale  the diagonal block */
1749   ierr = (*a->ops->diagonalscale)(a,ll,rr);CHKERRQ(ierr);
1750 
1751   if (rr) {
1752     /* Do a scatter end and then right scale the off-diagonal block */
1753     ierr = VecScatterEnd(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1754     ierr = (*b->ops->diagonalscale)(b,NULL,baij->lvec);CHKERRQ(ierr);
1755   }
1756   PetscFunctionReturn(0);
1757 }
1758 
1759 PetscErrorCode MatZeroRows_MPIBAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1760 {
1761   Mat_MPIBAIJ   *l      = (Mat_MPIBAIJ *) A->data;
1762   PetscInt      *lrows;
1763   PetscInt       r, len;
1764   PetscErrorCode ierr;
1765 
1766   PetscFunctionBegin;
1767   /* get locally owned rows */
1768   ierr = MatZeroRowsMapLocal_Private(A,N,rows,&len,&lrows);CHKERRQ(ierr);
1769   /* fix right hand side if needed */
1770   if (x && b) {
1771     const PetscScalar *xx;
1772     PetscScalar       *bb;
1773 
1774     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1775     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1776     for (r = 0; r < len; ++r) bb[lrows[r]] = diag*xx[lrows[r]];
1777     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1778     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1779   }
1780 
1781   /* actually zap the local rows */
1782   /*
1783         Zero the required rows. If the "diagonal block" of the matrix
1784      is square and the user wishes to set the diagonal we use separate
1785      code so that MatSetValues() is not called for each diagonal allocating
1786      new memory, thus calling lots of mallocs and slowing things down.
1787 
1788   */
1789   /* must zero l->B before l->A because the (diag) case below may put values into l->B*/
1790   ierr = MatZeroRows_SeqBAIJ(l->B,len,lrows,0.0,NULL,NULL);CHKERRQ(ierr);
1791   if (A->congruentlayouts == -1) { /* first time we compare rows and cols layouts */
1792     PetscBool cong;
1793     ierr = PetscLayoutCompare(A->rmap,A->cmap,&cong);CHKERRQ(ierr);
1794     if (cong) A->congruentlayouts = 1;
1795     else      A->congruentlayouts = 0;
1796   }
1797   if ((diag != 0.0) && A->congruentlayouts) {
1798     ierr = MatZeroRows_SeqBAIJ(l->A,len,lrows,diag,NULL,NULL);CHKERRQ(ierr);
1799   } else if (diag != 0.0) {
1800     ierr = MatZeroRows_SeqBAIJ(l->A,len,lrows,0.0,0,0);CHKERRQ(ierr);
1801     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\
1802        MAT_NEW_NONZERO_LOCATIONS,MAT_NEW_NONZERO_LOCATION_ERR,MAT_NEW_NONZERO_ALLOCATION_ERR");
1803     for (r = 0; r < len; ++r) {
1804       const PetscInt row = lrows[r] + A->rmap->rstart;
1805       ierr = MatSetValues(A,1,&row,1,&row,&diag,INSERT_VALUES);CHKERRQ(ierr);
1806     }
1807     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1808     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1809   } else {
1810     ierr = MatZeroRows_SeqBAIJ(l->A,len,lrows,0.0,NULL,NULL);CHKERRQ(ierr);
1811   }
1812   ierr = PetscFree(lrows);CHKERRQ(ierr);
1813 
1814   /* only change matrix nonzero state if pattern was allowed to be changed */
1815   if (!((Mat_SeqBAIJ*)(l->A->data))->keepnonzeropattern) {
1816     PetscObjectState state = l->A->nonzerostate + l->B->nonzerostate;
1817     ierr = MPIU_Allreduce(&state,&A->nonzerostate,1,MPIU_INT64,MPI_SUM,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
1818   }
1819   PetscFunctionReturn(0);
1820 }
1821 
1822 PetscErrorCode MatZeroRowsColumns_MPIBAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1823 {
1824   Mat_MPIBAIJ       *l = (Mat_MPIBAIJ*)A->data;
1825   PetscErrorCode    ierr;
1826   PetscMPIInt       n = A->rmap->n;
1827   PetscInt          i,j,k,r,p = 0,len = 0,row,col,count;
1828   PetscInt          *lrows,*owners = A->rmap->range;
1829   PetscSFNode       *rrows;
1830   PetscSF           sf;
1831   const PetscScalar *xx;
1832   PetscScalar       *bb,*mask;
1833   Vec               xmask,lmask;
1834   Mat_SeqBAIJ       *baij = (Mat_SeqBAIJ*)l->B->data;
1835   PetscInt           bs = A->rmap->bs, bs2 = baij->bs2;
1836   PetscScalar       *aa;
1837 
1838   PetscFunctionBegin;
1839   /* Create SF where leaves are input rows and roots are owned rows */
1840   ierr = PetscMalloc1(n, &lrows);CHKERRQ(ierr);
1841   for (r = 0; r < n; ++r) lrows[r] = -1;
1842   ierr = PetscMalloc1(N, &rrows);CHKERRQ(ierr);
1843   for (r = 0; r < N; ++r) {
1844     const PetscInt idx   = rows[r];
1845     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);
1846     if (idx < owners[p] || owners[p+1] <= idx) { /* short-circuit the search if the last p owns this row too */
1847       ierr = PetscLayoutFindOwner(A->rmap,idx,&p);CHKERRQ(ierr);
1848     }
1849     rrows[r].rank  = p;
1850     rrows[r].index = rows[r] - owners[p];
1851   }
1852   ierr = PetscSFCreate(PetscObjectComm((PetscObject) A), &sf);CHKERRQ(ierr);
1853   ierr = PetscSFSetGraph(sf, n, N, NULL, PETSC_OWN_POINTER, rrows, PETSC_OWN_POINTER);CHKERRQ(ierr);
1854   /* Collect flags for rows to be zeroed */
1855   ierr = PetscSFReduceBegin(sf, MPIU_INT, (PetscInt *) rows, lrows, MPI_LOR);CHKERRQ(ierr);
1856   ierr = PetscSFReduceEnd(sf, MPIU_INT, (PetscInt *) rows, lrows, MPI_LOR);CHKERRQ(ierr);
1857   ierr = PetscSFDestroy(&sf);CHKERRQ(ierr);
1858   /* Compress and put in row numbers */
1859   for (r = 0; r < n; ++r) if (lrows[r] >= 0) lrows[len++] = r;
1860   /* zero diagonal part of matrix */
1861   ierr = MatZeroRowsColumns(l->A,len,lrows,diag,x,b);CHKERRQ(ierr);
1862   /* handle off diagonal part of matrix */
1863   ierr = MatCreateVecs(A,&xmask,NULL);CHKERRQ(ierr);
1864   ierr = VecDuplicate(l->lvec,&lmask);CHKERRQ(ierr);
1865   ierr = VecGetArray(xmask,&bb);CHKERRQ(ierr);
1866   for (i=0; i<len; i++) bb[lrows[i]] = 1;
1867   ierr = VecRestoreArray(xmask,&bb);CHKERRQ(ierr);
1868   ierr = VecScatterBegin(l->Mvctx,xmask,lmask,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1869   ierr = VecScatterEnd(l->Mvctx,xmask,lmask,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1870   ierr = VecDestroy(&xmask);CHKERRQ(ierr);
1871   if (x) {
1872     ierr = VecScatterBegin(l->Mvctx,x,l->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1873     ierr = VecScatterEnd(l->Mvctx,x,l->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1874     ierr = VecGetArrayRead(l->lvec,&xx);CHKERRQ(ierr);
1875     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1876   }
1877   ierr = VecGetArray(lmask,&mask);CHKERRQ(ierr);
1878   /* remove zeroed rows of off diagonal matrix */
1879   for (i = 0; i < len; ++i) {
1880     row   = lrows[i];
1881     count = (baij->i[row/bs +1] - baij->i[row/bs])*bs;
1882     aa    = ((MatScalar*)(baij->a)) + baij->i[row/bs]*bs2 + (row%bs);
1883     for (k = 0; k < count; ++k) {
1884       aa[0] = 0.0;
1885       aa   += bs;
1886     }
1887   }
1888   /* loop over all elements of off process part of matrix zeroing removed columns*/
1889   for (i = 0; i < l->B->rmap->N; ++i) {
1890     row = i/bs;
1891     for (j = baij->i[row]; j < baij->i[row+1]; ++j) {
1892       for (k = 0; k < bs; ++k) {
1893         col = bs*baij->j[j] + k;
1894         if (PetscAbsScalar(mask[col])) {
1895           aa = ((MatScalar*)(baij->a)) + j*bs2 + (i%bs) + bs*k;
1896           if (x) bb[i] -= aa[0]*xx[col];
1897           aa[0] = 0.0;
1898         }
1899       }
1900     }
1901   }
1902   if (x) {
1903     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1904     ierr = VecRestoreArrayRead(l->lvec,&xx);CHKERRQ(ierr);
1905   }
1906   ierr = VecRestoreArray(lmask,&mask);CHKERRQ(ierr);
1907   ierr = VecDestroy(&lmask);CHKERRQ(ierr);
1908   ierr = PetscFree(lrows);CHKERRQ(ierr);
1909 
1910   /* only change matrix nonzero state if pattern was allowed to be changed */
1911   if (!((Mat_SeqBAIJ*)(l->A->data))->keepnonzeropattern) {
1912     PetscObjectState state = l->A->nonzerostate + l->B->nonzerostate;
1913     ierr = MPIU_Allreduce(&state,&A->nonzerostate,1,MPIU_INT64,MPI_SUM,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
1914   }
1915   PetscFunctionReturn(0);
1916 }
1917 
1918 PetscErrorCode MatSetUnfactored_MPIBAIJ(Mat A)
1919 {
1920   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1921   PetscErrorCode ierr;
1922 
1923   PetscFunctionBegin;
1924   ierr = MatSetUnfactored(a->A);CHKERRQ(ierr);
1925   PetscFunctionReturn(0);
1926 }
1927 
1928 static PetscErrorCode MatDuplicate_MPIBAIJ(Mat,MatDuplicateOption,Mat*);
1929 
1930 PetscErrorCode MatEqual_MPIBAIJ(Mat A,Mat B,PetscBool  *flag)
1931 {
1932   Mat_MPIBAIJ    *matB = (Mat_MPIBAIJ*)B->data,*matA = (Mat_MPIBAIJ*)A->data;
1933   Mat            a,b,c,d;
1934   PetscBool      flg;
1935   PetscErrorCode ierr;
1936 
1937   PetscFunctionBegin;
1938   a = matA->A; b = matA->B;
1939   c = matB->A; d = matB->B;
1940 
1941   ierr = MatEqual(a,c,&flg);CHKERRQ(ierr);
1942   if (flg) {
1943     ierr = MatEqual(b,d,&flg);CHKERRQ(ierr);
1944   }
1945   ierr = MPIU_Allreduce(&flg,flag,1,MPIU_BOOL,MPI_LAND,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
1946   PetscFunctionReturn(0);
1947 }
1948 
1949 PetscErrorCode MatCopy_MPIBAIJ(Mat A,Mat B,MatStructure str)
1950 {
1951   PetscErrorCode ierr;
1952   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1953   Mat_MPIBAIJ    *b = (Mat_MPIBAIJ*)B->data;
1954 
1955   PetscFunctionBegin;
1956   /* If the two matrices don't have the same copy implementation, they aren't compatible for fast copy. */
1957   if ((str != SAME_NONZERO_PATTERN) || (A->ops->copy != B->ops->copy)) {
1958     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
1959   } else {
1960     ierr = MatCopy(a->A,b->A,str);CHKERRQ(ierr);
1961     ierr = MatCopy(a->B,b->B,str);CHKERRQ(ierr);
1962   }
1963   ierr = PetscObjectStateIncrease((PetscObject)B);CHKERRQ(ierr);
1964   PetscFunctionReturn(0);
1965 }
1966 
1967 PetscErrorCode MatSetUp_MPIBAIJ(Mat A)
1968 {
1969   PetscErrorCode ierr;
1970 
1971   PetscFunctionBegin;
1972   ierr = MatMPIBAIJSetPreallocation(A,A->rmap->bs,PETSC_DEFAULT,0,PETSC_DEFAULT,0);CHKERRQ(ierr);
1973   PetscFunctionReturn(0);
1974 }
1975 
1976 PetscErrorCode MatAXPYGetPreallocation_MPIBAIJ(Mat Y,const PetscInt *yltog,Mat X,const PetscInt *xltog,PetscInt *nnz)
1977 {
1978   PetscErrorCode ierr;
1979   PetscInt       bs = Y->rmap->bs,m = Y->rmap->N/bs;
1980   Mat_SeqBAIJ    *x = (Mat_SeqBAIJ*)X->data;
1981   Mat_SeqBAIJ    *y = (Mat_SeqBAIJ*)Y->data;
1982 
1983   PetscFunctionBegin;
1984   ierr = MatAXPYGetPreallocation_MPIX_private(m,x->i,x->j,xltog,y->i,y->j,yltog,nnz);CHKERRQ(ierr);
1985   PetscFunctionReturn(0);
1986 }
1987 
1988 PetscErrorCode MatAXPY_MPIBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
1989 {
1990   PetscErrorCode ierr;
1991   Mat_MPIBAIJ    *xx=(Mat_MPIBAIJ*)X->data,*yy=(Mat_MPIBAIJ*)Y->data;
1992   PetscBLASInt   bnz,one=1;
1993   Mat_SeqBAIJ    *x,*y;
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,&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,&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,d,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     JJ     = jj + ii[i];
2765     for (j=0; j<nz; j++) {
2766       if (*JJ >= cstart) break;
2767       JJ++;
2768     }
2769     d = 0;
2770     for (; j<nz; j++) {
2771       if (*JJ++ >= cend) break;
2772       d++;
2773     }
2774     d_nnz[i] = d;
2775     o_nnz[i] = nz - d;
2776   }
2777   ierr = MatMPIBAIJSetPreallocation(B,bs,0,d_nnz,0,o_nnz);CHKERRQ(ierr);
2778   ierr = PetscFree2(d_nnz,o_nnz);CHKERRQ(ierr);
2779 
2780   values = (PetscScalar*)V;
2781   if (!values) {
2782     ierr = PetscMalloc1(bs*bs*nz_max,&values);CHKERRQ(ierr);
2783     ierr = PetscMemzero(values,bs*bs*nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
2784   }
2785   for (i=0; i<m; i++) {
2786     PetscInt          row    = i + rstart;
2787     PetscInt          ncols  = ii[i+1] - ii[i];
2788     const PetscInt    *icols = jj + ii[i];
2789     if (!roworiented) {         /* block ordering matches the non-nested layout of MatSetValues so we can insert entire rows */
2790       const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
2791       ierr = MatSetValuesBlocked_MPIBAIJ(B,1,&row,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
2792     } else {                    /* block ordering does not match so we can only insert one block at a time. */
2793       PetscInt j;
2794       for (j=0; j<ncols; j++) {
2795         const PetscScalar *svals = values + (V ? (bs*bs*(ii[i]+j)) : 0);
2796         ierr = MatSetValuesBlocked_MPIBAIJ(B,1,&row,1,&icols[j],svals,INSERT_VALUES);CHKERRQ(ierr);
2797       }
2798     }
2799   }
2800 
2801   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
2802   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2803   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2804   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
2805   PetscFunctionReturn(0);
2806 }
2807 
2808 /*@C
2809    MatMPIBAIJSetPreallocationCSR - Allocates memory for a sparse parallel matrix in BAIJ format
2810    (the default parallel PETSc format).
2811 
2812    Collective on MPI_Comm
2813 
2814    Input Parameters:
2815 +  B - the matrix
2816 .  bs - the block size
2817 .  i - the indices into j for the start of each local row (starts with zero)
2818 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
2819 -  v - optional values in the matrix
2820 
2821    Level: developer
2822 
2823    Notes: The order of the entries in values is specified by the MatOption MAT_ROW_ORIENTED.  For example, C programs
2824    may want to use the default MAT_ROW_ORIENTED=PETSC_TRUE and use an array v[nnz][bs][bs] where the second index is
2825    over rows within a block and the last index is over columns within a block row.  Fortran programs will likely set
2826    MAT_ROW_ORIENTED=PETSC_FALSE and use a Fortran array v(bs,bs,nnz) in which the first index is over rows within a
2827    block column and the second index is over columns within a block.
2828 
2829 .keywords: matrix, aij, compressed row, sparse, parallel
2830 
2831 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIBAIJSetPreallocation(), MatCreateAIJ(), MPIAIJ, MatCreateMPIBAIJWithArrays(), MPIBAIJ
2832 @*/
2833 PetscErrorCode  MatMPIBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
2834 {
2835   PetscErrorCode ierr;
2836 
2837   PetscFunctionBegin;
2838   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
2839   PetscValidType(B,1);
2840   PetscValidLogicalCollectiveInt(B,bs,2);
2841   ierr = PetscTryMethod(B,"MatMPIBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));CHKERRQ(ierr);
2842   PetscFunctionReturn(0);
2843 }
2844 
2845 PetscErrorCode  MatMPIBAIJSetPreallocation_MPIBAIJ(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt *d_nnz,PetscInt o_nz,const PetscInt *o_nnz)
2846 {
2847   Mat_MPIBAIJ    *b;
2848   PetscErrorCode ierr;
2849   PetscInt       i;
2850 
2851   PetscFunctionBegin;
2852   ierr = MatSetBlockSize(B,PetscAbs(bs));CHKERRQ(ierr);
2853   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
2854   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
2855   ierr = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
2856 
2857   if (d_nnz) {
2858     for (i=0; i<B->rmap->n/bs; i++) {
2859       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]);
2860     }
2861   }
2862   if (o_nnz) {
2863     for (i=0; i<B->rmap->n/bs; i++) {
2864       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]);
2865     }
2866   }
2867 
2868   b      = (Mat_MPIBAIJ*)B->data;
2869   b->bs2 = bs*bs;
2870   b->mbs = B->rmap->n/bs;
2871   b->nbs = B->cmap->n/bs;
2872   b->Mbs = B->rmap->N/bs;
2873   b->Nbs = B->cmap->N/bs;
2874 
2875   for (i=0; i<=b->size; i++) {
2876     b->rangebs[i] = B->rmap->range[i]/bs;
2877   }
2878   b->rstartbs = B->rmap->rstart/bs;
2879   b->rendbs   = B->rmap->rend/bs;
2880   b->cstartbs = B->cmap->rstart/bs;
2881   b->cendbs   = B->cmap->rend/bs;
2882 
2883 #if defined(PETSC_USE_CTABLE)
2884   ierr = PetscTableDestroy(&b->colmap);CHKERRQ(ierr);
2885 #else
2886   ierr = PetscFree(b->colmap);CHKERRQ(ierr);
2887 #endif
2888   ierr = PetscFree(b->garray);CHKERRQ(ierr);
2889   ierr = VecDestroy(&b->lvec);CHKERRQ(ierr);
2890   ierr = VecScatterDestroy(&b->Mvctx);CHKERRQ(ierr);
2891 
2892   /* Because the B will have been resized we simply destroy it and create a new one each time */
2893   ierr = MatDestroy(&b->B);CHKERRQ(ierr);
2894   ierr = MatCreate(PETSC_COMM_SELF,&b->B);CHKERRQ(ierr);
2895   ierr = MatSetSizes(b->B,B->rmap->n,B->cmap->N,B->rmap->n,B->cmap->N);CHKERRQ(ierr);
2896   ierr = MatSetType(b->B,MATSEQBAIJ);CHKERRQ(ierr);
2897   ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->B);CHKERRQ(ierr);
2898 
2899   if (!B->preallocated) {
2900     ierr = MatCreate(PETSC_COMM_SELF,&b->A);CHKERRQ(ierr);
2901     ierr = MatSetSizes(b->A,B->rmap->n,B->cmap->n,B->rmap->n,B->cmap->n);CHKERRQ(ierr);
2902     ierr = MatSetType(b->A,MATSEQBAIJ);CHKERRQ(ierr);
2903     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->A);CHKERRQ(ierr);
2904     ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),bs,&B->bstash);CHKERRQ(ierr);
2905   }
2906 
2907   ierr = MatSeqBAIJSetPreallocation(b->A,bs,d_nz,d_nnz);CHKERRQ(ierr);
2908   ierr = MatSeqBAIJSetPreallocation(b->B,bs,o_nz,o_nnz);CHKERRQ(ierr);
2909   B->preallocated  = PETSC_TRUE;
2910   B->was_assembled = PETSC_FALSE;
2911   B->assembled     = PETSC_FALSE;
2912   PetscFunctionReturn(0);
2913 }
2914 
2915 extern PetscErrorCode  MatDiagonalScaleLocal_MPIBAIJ(Mat,Vec);
2916 extern PetscErrorCode  MatSetHashTableFactor_MPIBAIJ(Mat,PetscReal);
2917 
2918 PETSC_INTERN PetscErrorCode MatConvert_MPIBAIJ_MPIAdj(Mat B, MatType newtype,MatReuse reuse,Mat *adj)
2919 {
2920   Mat_MPIBAIJ    *b = (Mat_MPIBAIJ*)B->data;
2921   PetscErrorCode ierr;
2922   Mat_SeqBAIJ    *d  = (Mat_SeqBAIJ*) b->A->data,*o = (Mat_SeqBAIJ*) b->B->data;
2923   PetscInt       M   = B->rmap->n/B->rmap->bs,i,*ii,*jj,cnt,j,k,rstart = B->rmap->rstart/B->rmap->bs;
2924   const PetscInt *id = d->i, *jd = d->j, *io = o->i, *jo = o->j, *garray = b->garray;
2925 
2926   PetscFunctionBegin;
2927   ierr  = PetscMalloc1(M+1,&ii);CHKERRQ(ierr);
2928   ii[0] = 0;
2929   for (i=0; i<M; i++) {
2930     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]);
2931     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]);
2932     ii[i+1] = ii[i] + id[i+1] - id[i] + io[i+1] - io[i];
2933     /* remove one from count of matrix has diagonal */
2934     for (j=id[i]; j<id[i+1]; j++) {
2935       if (jd[j] == i) {ii[i+1]--;break;}
2936     }
2937   }
2938   ierr = PetscMalloc1(ii[M],&jj);CHKERRQ(ierr);
2939   cnt  = 0;
2940   for (i=0; i<M; i++) {
2941     for (j=io[i]; j<io[i+1]; j++) {
2942       if (garray[jo[j]] > rstart) break;
2943       jj[cnt++] = garray[jo[j]];
2944     }
2945     for (k=id[i]; k<id[i+1]; k++) {
2946       if (jd[k] != i) {
2947         jj[cnt++] = rstart + jd[k];
2948       }
2949     }
2950     for (; j<io[i+1]; j++) {
2951       jj[cnt++] = garray[jo[j]];
2952     }
2953   }
2954   ierr = MatCreateMPIAdj(PetscObjectComm((PetscObject)B),M,B->cmap->N/B->rmap->bs,ii,jj,NULL,adj);CHKERRQ(ierr);
2955   PetscFunctionReturn(0);
2956 }
2957 
2958 #include <../src/mat/impls/aij/mpi/mpiaij.h>
2959 
2960 PETSC_INTERN PetscErrorCode MatConvert_SeqBAIJ_SeqAIJ(Mat,MatType,MatReuse,Mat*);
2961 
2962 PETSC_INTERN PetscErrorCode MatConvert_MPIBAIJ_MPIAIJ(Mat A,MatType newtype,MatReuse reuse,Mat *newmat)
2963 {
2964   PetscErrorCode ierr;
2965   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
2966   Mat            B;
2967   Mat_MPIAIJ     *b;
2968 
2969   PetscFunctionBegin;
2970   if (!A->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Matrix must be assembled");
2971 
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   b    = (Mat_MPIAIJ*) B->data;
2979 
2980   ierr = MatDestroy(&b->A);CHKERRQ(ierr);
2981   ierr = MatDestroy(&b->B);CHKERRQ(ierr);
2982   ierr = MatDisAssemble_MPIBAIJ(A);CHKERRQ(ierr);
2983   ierr = MatConvert_SeqBAIJ_SeqAIJ(a->A, MATSEQAIJ, MAT_INITIAL_MATRIX, &b->A);CHKERRQ(ierr);
2984   ierr = MatConvert_SeqBAIJ_SeqAIJ(a->B, MATSEQAIJ, MAT_INITIAL_MATRIX, &b->B);CHKERRQ(ierr);
2985   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2986   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2987   ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2988   ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2989   if (reuse == MAT_INPLACE_MATRIX) {
2990     ierr = MatHeaderReplace(A,&B);CHKERRQ(ierr);
2991   } else {
2992    *newmat = B;
2993   }
2994   PetscFunctionReturn(0);
2995 }
2996 
2997 /*MC
2998    MATMPIBAIJ - MATMPIBAIJ = "mpibaij" - A matrix type to be used for distributed block sparse matrices.
2999 
3000    Options Database Keys:
3001 + -mat_type mpibaij - sets the matrix type to "mpibaij" during a call to MatSetFromOptions()
3002 . -mat_block_size <bs> - set the blocksize used to store the matrix
3003 - -mat_use_hash_table <fact>
3004 
3005   Level: beginner
3006 
3007 .seealso: MatCreateMPIBAIJ
3008 M*/
3009 
3010 PETSC_INTERN PetscErrorCode MatConvert_MPIBAIJ_MPIBSTRM(Mat,MatType,MatReuse,Mat*);
3011 
3012 PETSC_EXTERN PetscErrorCode MatCreate_MPIBAIJ(Mat B)
3013 {
3014   Mat_MPIBAIJ    *b;
3015   PetscErrorCode ierr;
3016   PetscBool      flg = PETSC_FALSE;
3017 
3018   PetscFunctionBegin;
3019   ierr    = PetscNewLog(B,&b);CHKERRQ(ierr);
3020   B->data = (void*)b;
3021 
3022   ierr         = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
3023   B->assembled = PETSC_FALSE;
3024 
3025   B->insertmode = NOT_SET_VALUES;
3026   ierr          = MPI_Comm_rank(PetscObjectComm((PetscObject)B),&b->rank);CHKERRQ(ierr);
3027   ierr          = MPI_Comm_size(PetscObjectComm((PetscObject)B),&b->size);CHKERRQ(ierr);
3028 
3029   /* build local table of row and column ownerships */
3030   ierr = PetscMalloc1(b->size+1,&b->rangebs);CHKERRQ(ierr);
3031 
3032   /* build cache for off array entries formed */
3033   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),1,&B->stash);CHKERRQ(ierr);
3034 
3035   b->donotstash  = PETSC_FALSE;
3036   b->colmap      = NULL;
3037   b->garray      = NULL;
3038   b->roworiented = PETSC_TRUE;
3039 
3040   /* stuff used in block assembly */
3041   b->barray = 0;
3042 
3043   /* stuff used for matrix vector multiply */
3044   b->lvec  = 0;
3045   b->Mvctx = 0;
3046 
3047   /* stuff for MatGetRow() */
3048   b->rowindices   = 0;
3049   b->rowvalues    = 0;
3050   b->getrowactive = PETSC_FALSE;
3051 
3052   /* hash table stuff */
3053   b->ht           = 0;
3054   b->hd           = 0;
3055   b->ht_size      = 0;
3056   b->ht_flag      = PETSC_FALSE;
3057   b->ht_fact      = 0;
3058   b->ht_total_ct  = 0;
3059   b->ht_insert_ct = 0;
3060 
3061   /* stuff for MatCreateSubMatrices_MPIBAIJ_local() */
3062   b->ijonly = PETSC_FALSE;
3063 
3064 
3065   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpiadj_C",MatConvert_MPIBAIJ_MPIAdj);CHKERRQ(ierr);
3066   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpiaij_C",MatConvert_MPIBAIJ_MPIAIJ);CHKERRQ(ierr);
3067   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpisbaij_C",MatConvert_MPIBAIJ_MPISBAIJ);CHKERRQ(ierr);
3068 #if defined(PETSC_HAVE_HYPRE)
3069   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_hypre_C",MatConvert_AIJ_HYPRE);CHKERRQ(ierr);
3070 #endif
3071   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_MPIBAIJ);CHKERRQ(ierr);
3072   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_MPIBAIJ);CHKERRQ(ierr);
3073   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPIBAIJSetPreallocation_C",MatMPIBAIJSetPreallocation_MPIBAIJ);CHKERRQ(ierr);
3074   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPIBAIJSetPreallocationCSR_C",MatMPIBAIJSetPreallocationCSR_MPIBAIJ);CHKERRQ(ierr);
3075   ierr = PetscObjectComposeFunction((PetscObject)B,"MatDiagonalScaleLocal_C",MatDiagonalScaleLocal_MPIBAIJ);CHKERRQ(ierr);
3076   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSetHashTableFactor_C",MatSetHashTableFactor_MPIBAIJ);CHKERRQ(ierr);
3077   ierr = PetscObjectChangeTypeName((PetscObject)B,MATMPIBAIJ);CHKERRQ(ierr);
3078 
3079   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)B),NULL,"Options for loading MPIBAIJ matrix 1","Mat");CHKERRQ(ierr);
3080   ierr = PetscOptionsName("-mat_use_hash_table","Use hash table to save time in constructing matrix","MatSetOption",&flg);CHKERRQ(ierr);
3081   if (flg) {
3082     PetscReal fact = 1.39;
3083     ierr = MatSetOption(B,MAT_USE_HASH_TABLE,PETSC_TRUE);CHKERRQ(ierr);
3084     ierr = PetscOptionsReal("-mat_use_hash_table","Use hash table factor","MatMPIBAIJSetHashTableFactor",fact,&fact,NULL);CHKERRQ(ierr);
3085     if (fact <= 1.0) fact = 1.39;
3086     ierr = MatMPIBAIJSetHashTableFactor(B,fact);CHKERRQ(ierr);
3087     ierr = PetscInfo1(B,"Hash table Factor used %5.2f\n",fact);CHKERRQ(ierr);
3088   }
3089   ierr = PetscOptionsEnd();CHKERRQ(ierr);
3090   PetscFunctionReturn(0);
3091 }
3092 
3093 /*MC
3094    MATBAIJ - MATBAIJ = "baij" - A matrix type to be used for block sparse matrices.
3095 
3096    This matrix type is identical to MATSEQBAIJ when constructed with a single process communicator,
3097    and MATMPIBAIJ otherwise.
3098 
3099    Options Database Keys:
3100 . -mat_type baij - sets the matrix type to "baij" during a call to MatSetFromOptions()
3101 
3102   Level: beginner
3103 
3104 .seealso: MatCreateBAIJ(),MATSEQBAIJ,MATMPIBAIJ, MatMPIBAIJSetPreallocation(), MatMPIBAIJSetPreallocationCSR()
3105 M*/
3106 
3107 /*@C
3108    MatMPIBAIJSetPreallocation - Allocates memory for a sparse parallel matrix in block AIJ format
3109    (block compressed row).  For good matrix assembly performance
3110    the user should preallocate the matrix storage by setting the parameters
3111    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
3112    performance can be increased by more than a factor of 50.
3113 
3114    Collective on Mat
3115 
3116    Input Parameters:
3117 +  B - the matrix
3118 .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
3119           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
3120 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
3121            submatrix  (same for all local rows)
3122 .  d_nnz - array containing the number of block nonzeros in the various block rows
3123            of the in diagonal portion of the local (possibly different for each block
3124            row) or NULL.  If you plan to factor the matrix you must leave room for the diagonal entry and
3125            set it even if it is zero.
3126 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
3127            submatrix (same for all local rows).
3128 -  o_nnz - array containing the number of nonzeros in the various block rows of the
3129            off-diagonal portion of the local submatrix (possibly different for
3130            each block row) or NULL.
3131 
3132    If the *_nnz parameter is given then the *_nz parameter is ignored
3133 
3134    Options Database Keys:
3135 +   -mat_block_size - size of the blocks to use
3136 -   -mat_use_hash_table <fact>
3137 
3138    Notes:
3139    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
3140    than it must be used on all processors that share the object for that argument.
3141 
3142    Storage Information:
3143    For a square global matrix we define each processor's diagonal portion
3144    to be its local rows and the corresponding columns (a square submatrix);
3145    each processor's off-diagonal portion encompasses the remainder of the
3146    local matrix (a rectangular submatrix).
3147 
3148    The user can specify preallocated storage for the diagonal part of
3149    the local submatrix with either d_nz or d_nnz (not both).  Set
3150    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
3151    memory allocation.  Likewise, specify preallocated storage for the
3152    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
3153 
3154    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
3155    the figure below we depict these three local rows and all columns (0-11).
3156 
3157 .vb
3158            0 1 2 3 4 5 6 7 8 9 10 11
3159           --------------------------
3160    row 3  |o o o d d d o o o o  o  o
3161    row 4  |o o o d d d o o o o  o  o
3162    row 5  |o o o d d d o o o o  o  o
3163           --------------------------
3164 .ve
3165 
3166    Thus, any entries in the d locations are stored in the d (diagonal)
3167    submatrix, and any entries in the o locations are stored in the
3168    o (off-diagonal) submatrix.  Note that the d and the o submatrices are
3169    stored simply in the MATSEQBAIJ format for compressed row storage.
3170 
3171    Now d_nz should indicate the number of block nonzeros per row in the d matrix,
3172    and o_nz should indicate the number of block nonzeros per row in the o matrix.
3173    In general, for PDE problems in which most nonzeros are near the diagonal,
3174    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
3175    or you will get TERRIBLE performance; see the users' manual chapter on
3176    matrices.
3177 
3178    You can call MatGetInfo() to get information on how effective the preallocation was;
3179    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3180    You can also run with the option -info and look for messages with the string
3181    malloc in them to see if additional memory allocation was needed.
3182 
3183    Level: intermediate
3184 
3185 .keywords: matrix, block, aij, compressed row, sparse, parallel
3186 
3187 .seealso: MatCreate(), MatCreateSeqBAIJ(), MatSetValues(), MatCreateBAIJ(), MatMPIBAIJSetPreallocationCSR(), PetscSplitOwnership()
3188 @*/
3189 PetscErrorCode  MatMPIBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
3190 {
3191   PetscErrorCode ierr;
3192 
3193   PetscFunctionBegin;
3194   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3195   PetscValidType(B,1);
3196   PetscValidLogicalCollectiveInt(B,bs,2);
3197   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);
3198   PetscFunctionReturn(0);
3199 }
3200 
3201 /*@C
3202    MatCreateBAIJ - Creates a sparse parallel matrix in block AIJ format
3203    (block compressed row).  For good matrix assembly performance
3204    the user should preallocate the matrix storage by setting the parameters
3205    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
3206    performance can be increased by more than a factor of 50.
3207 
3208    Collective on MPI_Comm
3209 
3210    Input Parameters:
3211 +  comm - MPI communicator
3212 .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
3213           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
3214 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
3215            This value should be the same as the local size used in creating the
3216            y vector for the matrix-vector product y = Ax.
3217 .  n - number of local columns (or PETSC_DECIDE to have calculated if N is given)
3218            This value should be the same as the local size used in creating the
3219            x vector for the matrix-vector product y = Ax.
3220 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
3221 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
3222 .  d_nz  - number of nonzero blocks per block row in diagonal portion of local
3223            submatrix  (same for all local rows)
3224 .  d_nnz - array containing the number of nonzero blocks in the various block rows
3225            of the in diagonal portion of the local (possibly different for each block
3226            row) or NULL.  If you plan to factor the matrix you must leave room for the diagonal entry
3227            and set it even if it is zero.
3228 .  o_nz  - number of nonzero blocks per block row in the off-diagonal portion of local
3229            submatrix (same for all local rows).
3230 -  o_nnz - array containing the number of nonzero blocks in the various block rows of the
3231            off-diagonal portion of the local submatrix (possibly different for
3232            each block row) or NULL.
3233 
3234    Output Parameter:
3235 .  A - the matrix
3236 
3237    Options Database Keys:
3238 +   -mat_block_size - size of the blocks to use
3239 -   -mat_use_hash_table <fact>
3240 
3241    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3242    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3243    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3244 
3245    Notes:
3246    If the *_nnz parameter is given then the *_nz parameter is ignored
3247 
3248    A nonzero block is any block that as 1 or more nonzeros in it
3249 
3250    The user MUST specify either the local or global matrix dimensions
3251    (possibly both).
3252 
3253    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
3254    than it must be used on all processors that share the object for that argument.
3255 
3256    Storage Information:
3257    For a square global matrix we define each processor's diagonal portion
3258    to be its local rows and the corresponding columns (a square submatrix);
3259    each processor's off-diagonal portion encompasses the remainder of the
3260    local matrix (a rectangular submatrix).
3261 
3262    The user can specify preallocated storage for the diagonal part of
3263    the local submatrix with either d_nz or d_nnz (not both).  Set
3264    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
3265    memory allocation.  Likewise, specify preallocated storage for the
3266    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
3267 
3268    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
3269    the figure below we depict these three local rows and all columns (0-11).
3270 
3271 .vb
3272            0 1 2 3 4 5 6 7 8 9 10 11
3273           --------------------------
3274    row 3  |o o o d d d o o o o  o  o
3275    row 4  |o o o d d d o o o o  o  o
3276    row 5  |o o o d d d o o o o  o  o
3277           --------------------------
3278 .ve
3279 
3280    Thus, any entries in the d locations are stored in the d (diagonal)
3281    submatrix, and any entries in the o locations are stored in the
3282    o (off-diagonal) submatrix.  Note that the d and the o submatrices are
3283    stored simply in the MATSEQBAIJ format for compressed row storage.
3284 
3285    Now d_nz should indicate the number of block nonzeros per row in the d matrix,
3286    and o_nz should indicate the number of block nonzeros per row in the o matrix.
3287    In general, for PDE problems in which most nonzeros are near the diagonal,
3288    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
3289    or you will get TERRIBLE performance; see the users' manual chapter on
3290    matrices.
3291 
3292    Level: intermediate
3293 
3294 .keywords: matrix, block, aij, compressed row, sparse, parallel
3295 
3296 .seealso: MatCreate(), MatCreateSeqBAIJ(), MatSetValues(), MatCreateBAIJ(), MatMPIBAIJSetPreallocation(), MatMPIBAIJSetPreallocationCSR()
3297 @*/
3298 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)
3299 {
3300   PetscErrorCode ierr;
3301   PetscMPIInt    size;
3302 
3303   PetscFunctionBegin;
3304   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3305   ierr = MatSetSizes(*A,m,n,M,N);CHKERRQ(ierr);
3306   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3307   if (size > 1) {
3308     ierr = MatSetType(*A,MATMPIBAIJ);CHKERRQ(ierr);
3309     ierr = MatMPIBAIJSetPreallocation(*A,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
3310   } else {
3311     ierr = MatSetType(*A,MATSEQBAIJ);CHKERRQ(ierr);
3312     ierr = MatSeqBAIJSetPreallocation(*A,bs,d_nz,d_nnz);CHKERRQ(ierr);
3313   }
3314   PetscFunctionReturn(0);
3315 }
3316 
3317 static PetscErrorCode MatDuplicate_MPIBAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
3318 {
3319   Mat            mat;
3320   Mat_MPIBAIJ    *a,*oldmat = (Mat_MPIBAIJ*)matin->data;
3321   PetscErrorCode ierr;
3322   PetscInt       len=0;
3323 
3324   PetscFunctionBegin;
3325   *newmat = 0;
3326   ierr    = MatCreate(PetscObjectComm((PetscObject)matin),&mat);CHKERRQ(ierr);
3327   ierr    = MatSetSizes(mat,matin->rmap->n,matin->cmap->n,matin->rmap->N,matin->cmap->N);CHKERRQ(ierr);
3328   ierr    = MatSetType(mat,((PetscObject)matin)->type_name);CHKERRQ(ierr);
3329   ierr    = PetscMemcpy(mat->ops,matin->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
3330 
3331   mat->factortype   = matin->factortype;
3332   mat->preallocated = PETSC_TRUE;
3333   mat->assembled    = PETSC_TRUE;
3334   mat->insertmode   = NOT_SET_VALUES;
3335 
3336   a             = (Mat_MPIBAIJ*)mat->data;
3337   mat->rmap->bs = matin->rmap->bs;
3338   a->bs2        = oldmat->bs2;
3339   a->mbs        = oldmat->mbs;
3340   a->nbs        = oldmat->nbs;
3341   a->Mbs        = oldmat->Mbs;
3342   a->Nbs        = oldmat->Nbs;
3343 
3344   ierr = PetscLayoutReference(matin->rmap,&mat->rmap);CHKERRQ(ierr);
3345   ierr = PetscLayoutReference(matin->cmap,&mat->cmap);CHKERRQ(ierr);
3346 
3347   a->size         = oldmat->size;
3348   a->rank         = oldmat->rank;
3349   a->donotstash   = oldmat->donotstash;
3350   a->roworiented  = oldmat->roworiented;
3351   a->rowindices   = 0;
3352   a->rowvalues    = 0;
3353   a->getrowactive = PETSC_FALSE;
3354   a->barray       = 0;
3355   a->rstartbs     = oldmat->rstartbs;
3356   a->rendbs       = oldmat->rendbs;
3357   a->cstartbs     = oldmat->cstartbs;
3358   a->cendbs       = oldmat->cendbs;
3359 
3360   /* hash table stuff */
3361   a->ht           = 0;
3362   a->hd           = 0;
3363   a->ht_size      = 0;
3364   a->ht_flag      = oldmat->ht_flag;
3365   a->ht_fact      = oldmat->ht_fact;
3366   a->ht_total_ct  = 0;
3367   a->ht_insert_ct = 0;
3368 
3369   ierr = PetscMemcpy(a->rangebs,oldmat->rangebs,(a->size+1)*sizeof(PetscInt));CHKERRQ(ierr);
3370   if (oldmat->colmap) {
3371 #if defined(PETSC_USE_CTABLE)
3372     ierr = PetscTableCreateCopy(oldmat->colmap,&a->colmap);CHKERRQ(ierr);
3373 #else
3374     ierr = PetscMalloc1(a->Nbs,&a->colmap);CHKERRQ(ierr);
3375     ierr = PetscLogObjectMemory((PetscObject)mat,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
3376     ierr = PetscMemcpy(a->colmap,oldmat->colmap,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
3377 #endif
3378   } else a->colmap = 0;
3379 
3380   if (oldmat->garray && (len = ((Mat_SeqBAIJ*)(oldmat->B->data))->nbs)) {
3381     ierr = PetscMalloc1(len,&a->garray);CHKERRQ(ierr);
3382     ierr = PetscLogObjectMemory((PetscObject)mat,len*sizeof(PetscInt));CHKERRQ(ierr);
3383     ierr = PetscMemcpy(a->garray,oldmat->garray,len*sizeof(PetscInt));CHKERRQ(ierr);
3384   } else a->garray = 0;
3385 
3386   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)matin),matin->rmap->bs,&mat->bstash);CHKERRQ(ierr);
3387   ierr = VecDuplicate(oldmat->lvec,&a->lvec);CHKERRQ(ierr);
3388   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->lvec);CHKERRQ(ierr);
3389   ierr = VecScatterCopy(oldmat->Mvctx,&a->Mvctx);CHKERRQ(ierr);
3390   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->Mvctx);CHKERRQ(ierr);
3391 
3392   ierr    = MatDuplicate(oldmat->A,cpvalues,&a->A);CHKERRQ(ierr);
3393   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->A);CHKERRQ(ierr);
3394   ierr    = MatDuplicate(oldmat->B,cpvalues,&a->B);CHKERRQ(ierr);
3395   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->B);CHKERRQ(ierr);
3396   ierr    = PetscFunctionListDuplicate(((PetscObject)matin)->qlist,&((PetscObject)mat)->qlist);CHKERRQ(ierr);
3397   *newmat = mat;
3398   PetscFunctionReturn(0);
3399 }
3400 
3401 PetscErrorCode MatLoad_MPIBAIJ(Mat newmat,PetscViewer viewer)
3402 {
3403   PetscErrorCode ierr;
3404   int            fd;
3405   PetscInt       i,nz,j,rstart,rend;
3406   PetscScalar    *vals,*buf;
3407   MPI_Comm       comm;
3408   MPI_Status     status;
3409   PetscMPIInt    rank,size,maxnz;
3410   PetscInt       header[4],*rowlengths = 0,M,N,m,*rowners,*cols;
3411   PetscInt       *locrowlens = NULL,*procsnz = NULL,*browners = NULL;
3412   PetscInt       jj,*mycols,*ibuf,bs = newmat->rmap->bs,Mbs,mbs,extra_rows,mmax;
3413   PetscMPIInt    tag    = ((PetscObject)viewer)->tag;
3414   PetscInt       *dlens = NULL,*odlens = NULL,*mask = NULL,*masked1 = NULL,*masked2 = NULL,rowcount,odcount;
3415   PetscInt       dcount,kmax,k,nzcount,tmp,mend;
3416 
3417   PetscFunctionBegin;
3418   /* force binary viewer to load .info file if it has not yet done so */
3419   ierr = PetscViewerSetUp(viewer);CHKERRQ(ierr);
3420   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
3421   ierr = PetscOptionsBegin(comm,NULL,"Options for loading MPIBAIJ matrix 2","Mat");CHKERRQ(ierr);
3422   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
3423   ierr = PetscOptionsEnd();CHKERRQ(ierr);
3424   if (bs < 0) bs = 1;
3425 
3426   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3427   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
3428   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
3429   if (!rank) {
3430     ierr = PetscBinaryRead(fd,(char*)header,4,PETSC_INT);CHKERRQ(ierr);
3431     if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
3432     if (header[3] < 0) SETERRQ(PetscObjectComm((PetscObject)newmat),PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk, cannot load as MPIAIJ");
3433   }
3434   ierr = MPI_Bcast(header+1,3,MPIU_INT,0,comm);CHKERRQ(ierr);
3435   M    = header[1]; N = header[2];
3436 
3437   /* If global sizes are set, check if they are consistent with that given in the file */
3438   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);
3439   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);
3440 
3441   if (M != N) SETERRQ(PetscObjectComm((PetscObject)viewer),PETSC_ERR_SUP,"Can only do square matrices");
3442 
3443   /*
3444      This code adds extra rows to make sure the number of rows is
3445      divisible by the blocksize
3446   */
3447   Mbs        = M/bs;
3448   extra_rows = bs - M + bs*Mbs;
3449   if (extra_rows == bs) extra_rows = 0;
3450   else                  Mbs++;
3451   if (extra_rows && !rank) {
3452     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
3453   }
3454 
3455   /* determine ownership of all rows */
3456   if (newmat->rmap->n < 0) { /* PETSC_DECIDE */
3457     mbs = Mbs/size + ((Mbs % size) > rank);
3458     m   = mbs*bs;
3459   } else { /* User set */
3460     m   = newmat->rmap->n;
3461     mbs = m/bs;
3462   }
3463   ierr = PetscMalloc2(size+1,&rowners,size+1,&browners);CHKERRQ(ierr);
3464   ierr = MPI_Allgather(&mbs,1,MPIU_INT,rowners+1,1,MPIU_INT,comm);CHKERRQ(ierr);
3465 
3466   /* process 0 needs enough room for process with most rows */
3467   if (!rank) {
3468     mmax = rowners[1];
3469     for (i=2; i<=size; i++) {
3470       mmax = PetscMax(mmax,rowners[i]);
3471     }
3472     mmax*=bs;
3473   } else mmax = -1;             /* unused, but compiler warns anyway */
3474 
3475   rowners[0] = 0;
3476   for (i=2; i<=size; i++) rowners[i] += rowners[i-1];
3477   for (i=0; i<=size; i++) browners[i] = rowners[i]*bs;
3478   rstart = rowners[rank];
3479   rend   = rowners[rank+1];
3480 
3481   /* distribute row lengths to all processors */
3482   ierr = PetscMalloc1(m,&locrowlens);CHKERRQ(ierr);
3483   if (!rank) {
3484     mend = m;
3485     if (size == 1) mend = mend - extra_rows;
3486     ierr = PetscBinaryRead(fd,locrowlens,mend,PETSC_INT);CHKERRQ(ierr);
3487     for (j=mend; j<m; j++) locrowlens[j] = 1;
3488     ierr = PetscMalloc1(mmax,&rowlengths);CHKERRQ(ierr);
3489     ierr = PetscCalloc1(size,&procsnz);CHKERRQ(ierr);
3490     for (j=0; j<m; j++) {
3491       procsnz[0] += locrowlens[j];
3492     }
3493     for (i=1; i<size; i++) {
3494       mend = browners[i+1] - browners[i];
3495       if (i == size-1) mend = mend - extra_rows;
3496       ierr = PetscBinaryRead(fd,rowlengths,mend,PETSC_INT);CHKERRQ(ierr);
3497       for (j=mend; j<browners[i+1] - browners[i]; j++) rowlengths[j] = 1;
3498       /* calculate the number of nonzeros on each processor */
3499       for (j=0; j<browners[i+1]-browners[i]; j++) {
3500         procsnz[i] += rowlengths[j];
3501       }
3502       ierr = MPI_Send(rowlengths,browners[i+1]-browners[i],MPIU_INT,i,tag,comm);CHKERRQ(ierr);
3503     }
3504     ierr = PetscFree(rowlengths);CHKERRQ(ierr);
3505   } else {
3506     ierr = MPI_Recv(locrowlens,m,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
3507   }
3508 
3509   if (!rank) {
3510     /* determine max buffer needed and allocate it */
3511     maxnz = procsnz[0];
3512     for (i=1; i<size; i++) {
3513       maxnz = PetscMax(maxnz,procsnz[i]);
3514     }
3515     ierr = PetscMalloc1(maxnz,&cols);CHKERRQ(ierr);
3516 
3517     /* read in my part of the matrix column indices  */
3518     nz     = procsnz[0];
3519     ierr   = PetscMalloc1(nz+1,&ibuf);CHKERRQ(ierr);
3520     mycols = ibuf;
3521     if (size == 1) nz -= extra_rows;
3522     ierr = PetscBinaryRead(fd,mycols,nz,PETSC_INT);CHKERRQ(ierr);
3523     if (size == 1) {
3524       for (i=0; i< extra_rows; i++) mycols[nz+i] = M+i;
3525     }
3526 
3527     /* read in every ones (except the last) and ship off */
3528     for (i=1; i<size-1; i++) {
3529       nz   = procsnz[i];
3530       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
3531       ierr = MPI_Send(cols,nz,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
3532     }
3533     /* read in the stuff for the last proc */
3534     if (size != 1) {
3535       nz   = procsnz[size-1] - extra_rows;  /* the extra rows are not on the disk */
3536       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
3537       for (i=0; i<extra_rows; i++) cols[nz+i] = M+i;
3538       ierr = MPI_Send(cols,nz+extra_rows,MPIU_INT,size-1,tag,comm);CHKERRQ(ierr);
3539     }
3540     ierr = PetscFree(cols);CHKERRQ(ierr);
3541   } else {
3542     /* determine buffer space needed for message */
3543     nz = 0;
3544     for (i=0; i<m; i++) {
3545       nz += locrowlens[i];
3546     }
3547     ierr   = PetscMalloc1(nz+1,&ibuf);CHKERRQ(ierr);
3548     mycols = ibuf;
3549     /* receive message of column indices*/
3550     ierr = MPI_Recv(mycols,nz,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
3551     ierr = MPI_Get_count(&status,MPIU_INT,&maxnz);CHKERRQ(ierr);
3552     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
3553   }
3554 
3555   /* loop over local rows, determining number of off diagonal entries */
3556   ierr     = PetscMalloc2(rend-rstart,&dlens,rend-rstart,&odlens);CHKERRQ(ierr);
3557   ierr     = PetscCalloc3(Mbs,&mask,Mbs,&masked1,Mbs,&masked2);CHKERRQ(ierr);
3558   rowcount = 0; nzcount = 0;
3559   for (i=0; i<mbs; i++) {
3560     dcount  = 0;
3561     odcount = 0;
3562     for (j=0; j<bs; j++) {
3563       kmax = locrowlens[rowcount];
3564       for (k=0; k<kmax; k++) {
3565         tmp = mycols[nzcount++]/bs;
3566         if (!mask[tmp]) {
3567           mask[tmp] = 1;
3568           if (tmp < rstart || tmp >= rend) masked2[odcount++] = tmp;
3569           else masked1[dcount++] = tmp;
3570         }
3571       }
3572       rowcount++;
3573     }
3574 
3575     dlens[i]  = dcount;
3576     odlens[i] = odcount;
3577 
3578     /* zero out the mask elements we set */
3579     for (j=0; j<dcount; j++) mask[masked1[j]] = 0;
3580     for (j=0; j<odcount; j++) mask[masked2[j]] = 0;
3581   }
3582 
3583   ierr = MatSetSizes(newmat,m,m,M+extra_rows,N+extra_rows);CHKERRQ(ierr);
3584   ierr = MatMPIBAIJSetPreallocation(newmat,bs,0,dlens,0,odlens);CHKERRQ(ierr);
3585 
3586   if (!rank) {
3587     ierr = PetscMalloc1(maxnz+1,&buf);CHKERRQ(ierr);
3588     /* read in my part of the matrix numerical values  */
3589     nz     = procsnz[0];
3590     vals   = buf;
3591     mycols = ibuf;
3592     if (size == 1) nz -= extra_rows;
3593     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3594     if (size == 1) {
3595       for (i=0; i< extra_rows; i++) vals[nz+i] = 1.0;
3596     }
3597 
3598     /* insert into matrix */
3599     jj = rstart*bs;
3600     for (i=0; i<m; i++) {
3601       ierr    = MatSetValues_MPIBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
3602       mycols += locrowlens[i];
3603       vals   += locrowlens[i];
3604       jj++;
3605     }
3606     /* read in other processors (except the last one) and ship out */
3607     for (i=1; i<size-1; i++) {
3608       nz   = procsnz[i];
3609       vals = buf;
3610       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3611       ierr = MPIULong_Send(vals,nz,MPIU_SCALAR,i,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
3612     }
3613     /* the last proc */
3614     if (size != 1) {
3615       nz   = procsnz[i] - extra_rows;
3616       vals = buf;
3617       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3618       for (i=0; i<extra_rows; i++) vals[nz+i] = 1.0;
3619       ierr = MPIULong_Send(vals,nz+extra_rows,MPIU_SCALAR,size-1,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
3620     }
3621     ierr = PetscFree(procsnz);CHKERRQ(ierr);
3622   } else {
3623     /* receive numeric values */
3624     ierr = PetscMalloc1(nz+1,&buf);CHKERRQ(ierr);
3625 
3626     /* receive message of values*/
3627     vals   = buf;
3628     mycols = ibuf;
3629     ierr   = MPIULong_Recv(vals,nz,MPIU_SCALAR,0,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
3630 
3631     /* insert into matrix */
3632     jj = rstart*bs;
3633     for (i=0; i<m; i++) {
3634       ierr    = MatSetValues_MPIBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
3635       mycols += locrowlens[i];
3636       vals   += locrowlens[i];
3637       jj++;
3638     }
3639   }
3640   ierr = PetscFree(locrowlens);CHKERRQ(ierr);
3641   ierr = PetscFree(buf);CHKERRQ(ierr);
3642   ierr = PetscFree(ibuf);CHKERRQ(ierr);
3643   ierr = PetscFree2(rowners,browners);CHKERRQ(ierr);
3644   ierr = PetscFree2(dlens,odlens);CHKERRQ(ierr);
3645   ierr = PetscFree3(mask,masked1,masked2);CHKERRQ(ierr);
3646   ierr = MatAssemblyBegin(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3647   ierr = MatAssemblyEnd(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3648   PetscFunctionReturn(0);
3649 }
3650 
3651 /*@
3652    MatMPIBAIJSetHashTableFactor - Sets the factor required to compute the size of the HashTable.
3653 
3654    Input Parameters:
3655 .  mat  - the matrix
3656 .  fact - factor
3657 
3658    Not Collective, each process can use a different factor
3659 
3660    Level: advanced
3661 
3662   Notes:
3663    This can also be set by the command line option: -mat_use_hash_table <fact>
3664 
3665 .keywords: matrix, hashtable, factor, HT
3666 
3667 .seealso: MatSetOption()
3668 @*/
3669 PetscErrorCode  MatMPIBAIJSetHashTableFactor(Mat mat,PetscReal fact)
3670 {
3671   PetscErrorCode ierr;
3672 
3673   PetscFunctionBegin;
3674   ierr = PetscTryMethod(mat,"MatSetHashTableFactor_C",(Mat,PetscReal),(mat,fact));CHKERRQ(ierr);
3675   PetscFunctionReturn(0);
3676 }
3677 
3678 PetscErrorCode  MatSetHashTableFactor_MPIBAIJ(Mat mat,PetscReal fact)
3679 {
3680   Mat_MPIBAIJ *baij;
3681 
3682   PetscFunctionBegin;
3683   baij          = (Mat_MPIBAIJ*)mat->data;
3684   baij->ht_fact = fact;
3685   PetscFunctionReturn(0);
3686 }
3687 
3688 PetscErrorCode  MatMPIBAIJGetSeqBAIJ(Mat A,Mat *Ad,Mat *Ao,const PetscInt *colmap[])
3689 {
3690   Mat_MPIBAIJ *a = (Mat_MPIBAIJ*)A->data;
3691 
3692   PetscFunctionBegin;
3693   if (Ad)     *Ad     = a->A;
3694   if (Ao)     *Ao     = a->B;
3695   if (colmap) *colmap = a->garray;
3696   PetscFunctionReturn(0);
3697 }
3698 
3699 /*
3700     Special version for direct calls from Fortran (to eliminate two function call overheads
3701 */
3702 #if defined(PETSC_HAVE_FORTRAN_CAPS)
3703 #define matmpibaijsetvaluesblocked_ MATMPIBAIJSETVALUESBLOCKED
3704 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
3705 #define matmpibaijsetvaluesblocked_ matmpibaijsetvaluesblocked
3706 #endif
3707 
3708 /*@C
3709   MatMPIBAIJSetValuesBlocked - Direct Fortran call to replace call to MatSetValuesBlocked()
3710 
3711   Collective on Mat
3712 
3713   Input Parameters:
3714 + mat - the matrix
3715 . min - number of input rows
3716 . im - input rows
3717 . nin - number of input columns
3718 . in - input columns
3719 . v - numerical values input
3720 - addvin - INSERT_VALUES or ADD_VALUES
3721 
3722   Notes: This has a complete copy of MatSetValuesBlocked_MPIBAIJ() which is terrible code un-reuse.
3723 
3724   Level: advanced
3725 
3726 .seealso:   MatSetValuesBlocked()
3727 @*/
3728 PetscErrorCode matmpibaijsetvaluesblocked_(Mat *matin,PetscInt *min,const PetscInt im[],PetscInt *nin,const PetscInt in[],const MatScalar v[],InsertMode *addvin)
3729 {
3730   /* convert input arguments to C version */
3731   Mat        mat  = *matin;
3732   PetscInt   m    = *min, n = *nin;
3733   InsertMode addv = *addvin;
3734 
3735   Mat_MPIBAIJ     *baij = (Mat_MPIBAIJ*)mat->data;
3736   const MatScalar *value;
3737   MatScalar       *barray     = baij->barray;
3738   PetscBool       roworiented = baij->roworiented;
3739   PetscErrorCode  ierr;
3740   PetscInt        i,j,ii,jj,row,col,rstart=baij->rstartbs;
3741   PetscInt        rend=baij->rendbs,cstart=baij->cstartbs,stepval;
3742   PetscInt        cend=baij->cendbs,bs=mat->rmap->bs,bs2=baij->bs2;
3743 
3744   PetscFunctionBegin;
3745   /* tasks normally handled by MatSetValuesBlocked() */
3746   if (mat->insertmode == NOT_SET_VALUES) mat->insertmode = addv;
3747 #if defined(PETSC_USE_DEBUG)
3748   else if (mat->insertmode != addv) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
3749   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3750 #endif
3751   if (mat->assembled) {
3752     mat->was_assembled = PETSC_TRUE;
3753     mat->assembled     = PETSC_FALSE;
3754   }
3755   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
3756 
3757 
3758   if (!barray) {
3759     ierr         = PetscMalloc1(bs2,&barray);CHKERRQ(ierr);
3760     baij->barray = barray;
3761   }
3762 
3763   if (roworiented) stepval = (n-1)*bs;
3764   else stepval = (m-1)*bs;
3765 
3766   for (i=0; i<m; i++) {
3767     if (im[i] < 0) continue;
3768 #if defined(PETSC_USE_DEBUG)
3769     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);
3770 #endif
3771     if (im[i] >= rstart && im[i] < rend) {
3772       row = im[i] - rstart;
3773       for (j=0; j<n; j++) {
3774         /* If NumCol = 1 then a copy is not required */
3775         if ((roworiented) && (n == 1)) {
3776           barray = (MatScalar*)v + i*bs2;
3777         } else if ((!roworiented) && (m == 1)) {
3778           barray = (MatScalar*)v + j*bs2;
3779         } else { /* Here a copy is required */
3780           if (roworiented) {
3781             value = v + i*(stepval+bs)*bs + j*bs;
3782           } else {
3783             value = v + j*(stepval+bs)*bs + i*bs;
3784           }
3785           for (ii=0; ii<bs; ii++,value+=stepval) {
3786             for (jj=0; jj<bs; jj++) {
3787               *barray++ = *value++;
3788             }
3789           }
3790           barray -=bs2;
3791         }
3792 
3793         if (in[j] >= cstart && in[j] < cend) {
3794           col  = in[j] - cstart;
3795           ierr = MatSetValuesBlocked_SeqBAIJ_Inlined(baij->A,row,col,barray,addv,im[i],in[j]);CHKERRQ(ierr);
3796         } else if (in[j] < 0) continue;
3797 #if defined(PETSC_USE_DEBUG)
3798         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);
3799 #endif
3800         else {
3801           if (mat->was_assembled) {
3802             if (!baij->colmap) {
3803               ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
3804             }
3805 
3806 #if defined(PETSC_USE_DEBUG)
3807 #if defined(PETSC_USE_CTABLE)
3808             { PetscInt data;
3809               ierr = PetscTableFind(baij->colmap,in[j]+1,&data);CHKERRQ(ierr);
3810               if ((data - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
3811             }
3812 #else
3813             if ((baij->colmap[in[j]] - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
3814 #endif
3815 #endif
3816 #if defined(PETSC_USE_CTABLE)
3817             ierr = PetscTableFind(baij->colmap,in[j]+1,&col);CHKERRQ(ierr);
3818             col  = (col - 1)/bs;
3819 #else
3820             col = (baij->colmap[in[j]] - 1)/bs;
3821 #endif
3822             if (col < 0 && !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
3823               ierr = MatDisAssemble_MPIBAIJ(mat);CHKERRQ(ierr);
3824               col  =  in[j];
3825             }
3826           } else col = in[j];
3827           ierr = MatSetValuesBlocked_SeqBAIJ_Inlined(baij->B,row,col,barray,addv,im[i],in[j]);CHKERRQ(ierr);
3828         }
3829       }
3830     } else {
3831       if (!baij->donotstash) {
3832         if (roworiented) {
3833           ierr = MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
3834         } else {
3835           ierr = MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
3836         }
3837       }
3838     }
3839   }
3840 
3841   /* task normally handled by MatSetValuesBlocked() */
3842   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
3843   PetscFunctionReturn(0);
3844 }
3845 
3846 /*@
3847      MatCreateMPIBAIJWithArrays - creates a MPI BAIJ matrix using arrays that contain in standard
3848          CSR format the local rows.
3849 
3850    Collective on MPI_Comm
3851 
3852    Input Parameters:
3853 +  comm - MPI communicator
3854 .  bs - the block size, only a block size of 1 is supported
3855 .  m - number of local rows (Cannot be PETSC_DECIDE)
3856 .  n - This value should be the same as the local size used in creating the
3857        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
3858        calculated if N is given) For square matrices n is almost always m.
3859 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
3860 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
3861 .   i - row indices
3862 .   j - column indices
3863 -   a - matrix values
3864 
3865    Output Parameter:
3866 .   mat - the matrix
3867 
3868    Level: intermediate
3869 
3870    Notes:
3871        The i, j, and a arrays ARE copied by this routine into the internal format used by PETSc;
3872      thus you CANNOT change the matrix entries by changing the values of a[] after you have
3873      called this routine. Use MatCreateMPIAIJWithSplitArrays() to avoid needing to copy the arrays.
3874 
3875      The order of the entries in values is the same as the block compressed sparse row storage format; that is, it is
3876      the same as a three dimensional array in Fortran values(bs,bs,nnz) that contains the first column of the first
3877      block, followed by the second column of the first block etc etc.  That is, the blocks are contiguous in memory
3878      with column-major ordering within blocks.
3879 
3880        The i and j indices are 0 based, and i indices are indices corresponding to the local j array.
3881 
3882 .keywords: matrix, aij, compressed row, sparse, parallel
3883 
3884 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
3885           MPIAIJ, MatCreateAIJ(), MatCreateMPIAIJWithSplitArrays()
3886 @*/
3887 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)
3888 {
3889   PetscErrorCode ierr;
3890 
3891   PetscFunctionBegin;
3892   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
3893   if (m < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"local number of rows (m) cannot be PETSC_DECIDE, or negative");
3894   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
3895   ierr = MatSetSizes(*mat,m,n,M,N);CHKERRQ(ierr);
3896   ierr = MatSetType(*mat,MATMPISBAIJ);CHKERRQ(ierr);
3897   ierr = MatSetOption(*mat,MAT_ROW_ORIENTED,PETSC_FALSE);CHKERRQ(ierr);
3898   ierr = MatMPIBAIJSetPreallocationCSR(*mat,bs,i,j,a);CHKERRQ(ierr);
3899   ierr = MatSetOption(*mat,MAT_ROW_ORIENTED,PETSC_TRUE);CHKERRQ(ierr);
3900   PetscFunctionReturn(0);
3901 }
3902 
3903 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_MPIBAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
3904 {
3905   PetscErrorCode ierr;
3906   PetscInt       m,N,i,rstart,nnz,Ii,bs,cbs;
3907   PetscInt       *indx;
3908   PetscScalar    *values;
3909 
3910   PetscFunctionBegin;
3911   ierr = MatGetSize(inmat,&m,&N);CHKERRQ(ierr);
3912   if (scall == MAT_INITIAL_MATRIX) { /* symbolic phase */
3913     Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)inmat->data;
3914     PetscInt       *dnz,*onz,mbs,Nbs,nbs;
3915     PetscInt       *bindx,rmax=a->rmax,j;
3916     PetscMPIInt    rank,size;
3917 
3918     ierr = MatGetBlockSizes(inmat,&bs,&cbs);CHKERRQ(ierr);
3919     mbs = m/bs; Nbs = N/cbs;
3920     if (n == PETSC_DECIDE) {
3921       nbs  = n;
3922       ierr = PetscSplitOwnership(comm,&nbs,&Nbs);CHKERRQ(ierr);
3923       n    = nbs*cbs;
3924     } else {
3925       nbs = n/cbs;
3926     }
3927 
3928     ierr = PetscMalloc1(rmax,&bindx);CHKERRQ(ierr);
3929     ierr = MatPreallocateInitialize(comm,mbs,nbs,dnz,onz);CHKERRQ(ierr); /* inline function, output __end and __rstart are used below */
3930 
3931     ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
3932     ierr = MPI_Comm_rank(comm,&size);CHKERRQ(ierr);
3933     if (rank == size-1) {
3934       /* Check sum(nbs) = Nbs */
3935       if (__end != Nbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Sum of local block columns %D != global block columns %D",__end,Nbs);
3936     }
3937 
3938     rstart = __rstart; /* block rstart of *outmat; see inline function MatPreallocateInitialize */
3939     for (i=0; i<mbs; i++) {
3940       ierr = MatGetRow_SeqBAIJ(inmat,i*bs,&nnz,&indx,NULL);CHKERRQ(ierr); /* non-blocked nnz and indx */
3941       nnz = nnz/bs;
3942       for (j=0; j<nnz; j++) bindx[j] = indx[j*bs]/bs;
3943       ierr = MatPreallocateSet(i+rstart,nnz,bindx,dnz,onz);CHKERRQ(ierr);
3944       ierr = MatRestoreRow_SeqBAIJ(inmat,i*bs,&nnz,&indx,NULL);CHKERRQ(ierr);
3945     }
3946     ierr = PetscFree(bindx);CHKERRQ(ierr);
3947 
3948     ierr = MatCreate(comm,outmat);CHKERRQ(ierr);
3949     ierr = MatSetSizes(*outmat,m,n,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
3950     ierr = MatSetBlockSizes(*outmat,bs,cbs);CHKERRQ(ierr);
3951     ierr = MatSetType(*outmat,MATBAIJ);CHKERRQ(ierr);
3952     ierr = MatSeqBAIJSetPreallocation(*outmat,bs,0,dnz);CHKERRQ(ierr);
3953     ierr = MatMPIBAIJSetPreallocation(*outmat,bs,0,dnz,0,onz);CHKERRQ(ierr);
3954     ierr = MatPreallocateFinalize(dnz,onz);CHKERRQ(ierr);
3955   }
3956 
3957   /* numeric phase */
3958   ierr = MatGetBlockSizes(inmat,&bs,&cbs);CHKERRQ(ierr);
3959   ierr = MatGetOwnershipRange(*outmat,&rstart,NULL);CHKERRQ(ierr);
3960 
3961   for (i=0; i<m; i++) {
3962     ierr = MatGetRow_SeqBAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
3963     Ii   = i + rstart;
3964     ierr = MatSetValues(*outmat,1,&Ii,nnz,indx,values,INSERT_VALUES);CHKERRQ(ierr);
3965     ierr = MatRestoreRow_SeqBAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
3966   }
3967   ierr = MatAssemblyBegin(*outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3968   ierr = MatAssemblyEnd(*outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3969   PetscFunctionReturn(0);
3970 }
3971