xref: /petsc/src/mat/impls/baij/mpi/mpibaij.c (revision 5e71baeff2f3138f93cd4f5927dfd596eb8325cc)
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   PetscInt       bs2 = Y->rmap->bs*Y->rmap->bs;
1995 
1996   PetscFunctionBegin;
1997   if (str == SAME_NONZERO_PATTERN) {
1998     PetscScalar alpha = a;
1999     x    = (Mat_SeqBAIJ*)xx->A->data;
2000     y    = (Mat_SeqBAIJ*)yy->A->data;
2001     ierr = PetscBLASIntCast(x->nz*bs2,&bnz);CHKERRQ(ierr);
2002     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
2003     x    = (Mat_SeqBAIJ*)xx->B->data;
2004     y    = (Mat_SeqBAIJ*)yy->B->data;
2005     ierr = PetscBLASIntCast(x->nz*bs2,&bnz);CHKERRQ(ierr);
2006     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
2007     ierr = PetscObjectStateIncrease((PetscObject)Y);CHKERRQ(ierr);
2008   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2009     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
2010   } else {
2011     Mat      B;
2012     PetscInt *nnz_d,*nnz_o,bs=Y->rmap->bs;
2013     ierr = PetscMalloc1(yy->A->rmap->N,&nnz_d);CHKERRQ(ierr);
2014     ierr = PetscMalloc1(yy->B->rmap->N,&nnz_o);CHKERRQ(ierr);
2015     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
2016     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
2017     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
2018     ierr = MatSetBlockSizesFromMats(B,Y,Y);CHKERRQ(ierr);
2019     ierr = MatSetType(B,MATMPIBAIJ);CHKERRQ(ierr);
2020     ierr = MatAXPYGetPreallocation_SeqBAIJ(yy->A,xx->A,nnz_d);CHKERRQ(ierr);
2021     ierr = MatAXPYGetPreallocation_MPIBAIJ(yy->B,yy->garray,xx->B,xx->garray,nnz_o);CHKERRQ(ierr);
2022     ierr = MatMPIBAIJSetPreallocation(B,bs,0,nnz_d,0,nnz_o);CHKERRQ(ierr);
2023     /* MatAXPY_BasicWithPreallocation() for BAIJ matrix is much slower than AIJ, even for bs=1 ! */
2024     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
2025     ierr = MatHeaderReplace(Y,&B);CHKERRQ(ierr);
2026     ierr = PetscFree(nnz_d);CHKERRQ(ierr);
2027     ierr = PetscFree(nnz_o);CHKERRQ(ierr);
2028   }
2029   PetscFunctionReturn(0);
2030 }
2031 
2032 PetscErrorCode MatRealPart_MPIBAIJ(Mat A)
2033 {
2034   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
2035   PetscErrorCode ierr;
2036 
2037   PetscFunctionBegin;
2038   ierr = MatRealPart(a->A);CHKERRQ(ierr);
2039   ierr = MatRealPart(a->B);CHKERRQ(ierr);
2040   PetscFunctionReturn(0);
2041 }
2042 
2043 PetscErrorCode MatImaginaryPart_MPIBAIJ(Mat A)
2044 {
2045   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
2046   PetscErrorCode ierr;
2047 
2048   PetscFunctionBegin;
2049   ierr = MatImaginaryPart(a->A);CHKERRQ(ierr);
2050   ierr = MatImaginaryPart(a->B);CHKERRQ(ierr);
2051   PetscFunctionReturn(0);
2052 }
2053 
2054 PetscErrorCode MatCreateSubMatrix_MPIBAIJ(Mat mat,IS isrow,IS iscol,MatReuse call,Mat *newmat)
2055 {
2056   PetscErrorCode ierr;
2057   IS             iscol_local;
2058   PetscInt       csize;
2059 
2060   PetscFunctionBegin;
2061   ierr = ISGetLocalSize(iscol,&csize);CHKERRQ(ierr);
2062   if (call == MAT_REUSE_MATRIX) {
2063     ierr = PetscObjectQuery((PetscObject)*newmat,"ISAllGather",(PetscObject*)&iscol_local);CHKERRQ(ierr);
2064     if (!iscol_local) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Submatrix passed in was not used before, cannot reuse");
2065   } else {
2066     ierr = ISAllGather(iscol,&iscol_local);CHKERRQ(ierr);
2067   }
2068   ierr = MatCreateSubMatrix_MPIBAIJ_Private(mat,isrow,iscol_local,csize,call,newmat);CHKERRQ(ierr);
2069   if (call == MAT_INITIAL_MATRIX) {
2070     ierr = PetscObjectCompose((PetscObject)*newmat,"ISAllGather",(PetscObject)iscol_local);CHKERRQ(ierr);
2071     ierr = ISDestroy(&iscol_local);CHKERRQ(ierr);
2072   }
2073   PetscFunctionReturn(0);
2074 }
2075 
2076 /*
2077   Not great since it makes two copies of the submatrix, first an SeqBAIJ
2078   in local and then by concatenating the local matrices the end result.
2079   Writing it directly would be much like MatCreateSubMatrices_MPIBAIJ().
2080   This routine is used for BAIJ and SBAIJ matrices (unfortunate dependency).
2081 */
2082 PetscErrorCode MatCreateSubMatrix_MPIBAIJ_Private(Mat mat,IS isrow,IS iscol,PetscInt csize,MatReuse call,Mat *newmat)
2083 {
2084   PetscErrorCode ierr;
2085   PetscMPIInt    rank,size;
2086   PetscInt       i,m,n,rstart,row,rend,nz,*cwork,j,bs;
2087   PetscInt       *ii,*jj,nlocal,*dlens,*olens,dlen,olen,jend,mglobal;
2088   Mat            M,Mreuse;
2089   MatScalar      *vwork,*aa;
2090   MPI_Comm       comm;
2091   IS             isrow_new, iscol_new;
2092   Mat_SeqBAIJ    *aij;
2093 
2094   PetscFunctionBegin;
2095   ierr = PetscObjectGetComm((PetscObject)mat,&comm);CHKERRQ(ierr);
2096   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
2097   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2098   /* The compression and expansion should be avoided. Doesn't point
2099      out errors, might change the indices, hence buggey */
2100   ierr = ISCompressIndicesGeneral(mat->rmap->N,mat->rmap->n,mat->rmap->bs,1,&isrow,&isrow_new);CHKERRQ(ierr);
2101   ierr = ISCompressIndicesGeneral(mat->cmap->N,mat->cmap->n,mat->cmap->bs,1,&iscol,&iscol_new);CHKERRQ(ierr);
2102 
2103   if (call ==  MAT_REUSE_MATRIX) {
2104     ierr = PetscObjectQuery((PetscObject)*newmat,"SubMatrix",(PetscObject*)&Mreuse);CHKERRQ(ierr);
2105     if (!Mreuse) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Submatrix passed in was not used before, cannot reuse");
2106     ierr = MatCreateSubMatrices_MPIBAIJ_local(mat,1,&isrow_new,&iscol_new,MAT_REUSE_MATRIX,&Mreuse);CHKERRQ(ierr);
2107   } else {
2108     ierr = MatCreateSubMatrices_MPIBAIJ_local(mat,1,&isrow_new,&iscol_new,MAT_INITIAL_MATRIX,&Mreuse);CHKERRQ(ierr);
2109   }
2110   ierr = ISDestroy(&isrow_new);CHKERRQ(ierr);
2111   ierr = ISDestroy(&iscol_new);CHKERRQ(ierr);
2112   /*
2113       m - number of local rows
2114       n - number of columns (same on all processors)
2115       rstart - first row in new global matrix generated
2116   */
2117   ierr = MatGetBlockSize(mat,&bs);CHKERRQ(ierr);
2118   ierr = MatGetSize(Mreuse,&m,&n);CHKERRQ(ierr);
2119   m    = m/bs;
2120   n    = n/bs;
2121 
2122   if (call == MAT_INITIAL_MATRIX) {
2123     aij = (Mat_SeqBAIJ*)(Mreuse)->data;
2124     ii  = aij->i;
2125     jj  = aij->j;
2126 
2127     /*
2128         Determine the number of non-zeros in the diagonal and off-diagonal
2129         portions of the matrix in order to do correct preallocation
2130     */
2131 
2132     /* first get start and end of "diagonal" columns */
2133     if (csize == PETSC_DECIDE) {
2134       ierr = ISGetSize(isrow,&mglobal);CHKERRQ(ierr);
2135       if (mglobal == n*bs) { /* square matrix */
2136         nlocal = m;
2137       } else {
2138         nlocal = n/size + ((n % size) > rank);
2139       }
2140     } else {
2141       nlocal = csize/bs;
2142     }
2143     ierr   = MPI_Scan(&nlocal,&rend,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
2144     rstart = rend - nlocal;
2145     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);
2146 
2147     /* next, compute all the lengths */
2148     ierr  = PetscMalloc2(m+1,&dlens,m+1,&olens);CHKERRQ(ierr);
2149     for (i=0; i<m; i++) {
2150       jend = ii[i+1] - ii[i];
2151       olen = 0;
2152       dlen = 0;
2153       for (j=0; j<jend; j++) {
2154         if (*jj < rstart || *jj >= rend) olen++;
2155         else dlen++;
2156         jj++;
2157       }
2158       olens[i] = olen;
2159       dlens[i] = dlen;
2160     }
2161     ierr = MatCreate(comm,&M);CHKERRQ(ierr);
2162     ierr = MatSetSizes(M,bs*m,bs*nlocal,PETSC_DECIDE,bs*n);CHKERRQ(ierr);
2163     ierr = MatSetType(M,((PetscObject)mat)->type_name);CHKERRQ(ierr);
2164     ierr = MatMPIBAIJSetPreallocation(M,bs,0,dlens,0,olens);CHKERRQ(ierr);
2165     ierr = MatMPISBAIJSetPreallocation(M,bs,0,dlens,0,olens);CHKERRQ(ierr);
2166     ierr = PetscFree2(dlens,olens);CHKERRQ(ierr);
2167   } else {
2168     PetscInt ml,nl;
2169 
2170     M    = *newmat;
2171     ierr = MatGetLocalSize(M,&ml,&nl);CHKERRQ(ierr);
2172     if (ml != m) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Previous matrix must be same size/layout as request");
2173     ierr = MatZeroEntries(M);CHKERRQ(ierr);
2174     /*
2175          The next two lines are needed so we may call MatSetValues_MPIAIJ() below directly,
2176        rather than the slower MatSetValues().
2177     */
2178     M->was_assembled = PETSC_TRUE;
2179     M->assembled     = PETSC_FALSE;
2180   }
2181   ierr = MatSetOption(M,MAT_ROW_ORIENTED,PETSC_FALSE);CHKERRQ(ierr);
2182   ierr = MatGetOwnershipRange(M,&rstart,&rend);CHKERRQ(ierr);
2183   aij  = (Mat_SeqBAIJ*)(Mreuse)->data;
2184   ii   = aij->i;
2185   jj   = aij->j;
2186   aa   = aij->a;
2187   for (i=0; i<m; i++) {
2188     row   = rstart/bs + i;
2189     nz    = ii[i+1] - ii[i];
2190     cwork = jj;     jj += nz;
2191     vwork = aa;     aa += nz*bs*bs;
2192     ierr  = MatSetValuesBlocked_MPIBAIJ(M,1,&row,nz,cwork,vwork,INSERT_VALUES);CHKERRQ(ierr);
2193   }
2194 
2195   ierr    = MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2196   ierr    = MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2197   *newmat = M;
2198 
2199   /* save submatrix used in processor for next request */
2200   if (call ==  MAT_INITIAL_MATRIX) {
2201     ierr = PetscObjectCompose((PetscObject)M,"SubMatrix",(PetscObject)Mreuse);CHKERRQ(ierr);
2202     ierr = PetscObjectDereference((PetscObject)Mreuse);CHKERRQ(ierr);
2203   }
2204   PetscFunctionReturn(0);
2205 }
2206 
2207 PetscErrorCode MatPermute_MPIBAIJ(Mat A,IS rowp,IS colp,Mat *B)
2208 {
2209   MPI_Comm       comm,pcomm;
2210   PetscInt       clocal_size,nrows;
2211   const PetscInt *rows;
2212   PetscMPIInt    size;
2213   IS             crowp,lcolp;
2214   PetscErrorCode ierr;
2215 
2216   PetscFunctionBegin;
2217   ierr = PetscObjectGetComm((PetscObject)A,&comm);CHKERRQ(ierr);
2218   /* make a collective version of 'rowp' */
2219   ierr = PetscObjectGetComm((PetscObject)rowp,&pcomm);CHKERRQ(ierr);
2220   if (pcomm==comm) {
2221     crowp = rowp;
2222   } else {
2223     ierr = ISGetSize(rowp,&nrows);CHKERRQ(ierr);
2224     ierr = ISGetIndices(rowp,&rows);CHKERRQ(ierr);
2225     ierr = ISCreateGeneral(comm,nrows,rows,PETSC_COPY_VALUES,&crowp);CHKERRQ(ierr);
2226     ierr = ISRestoreIndices(rowp,&rows);CHKERRQ(ierr);
2227   }
2228   ierr = ISSetPermutation(crowp);CHKERRQ(ierr);
2229   /* make a local version of 'colp' */
2230   ierr = PetscObjectGetComm((PetscObject)colp,&pcomm);CHKERRQ(ierr);
2231   ierr = MPI_Comm_size(pcomm,&size);CHKERRQ(ierr);
2232   if (size==1) {
2233     lcolp = colp;
2234   } else {
2235     ierr = ISAllGather(colp,&lcolp);CHKERRQ(ierr);
2236   }
2237   ierr = ISSetPermutation(lcolp);CHKERRQ(ierr);
2238   /* now we just get the submatrix */
2239   ierr = MatGetLocalSize(A,NULL,&clocal_size);CHKERRQ(ierr);
2240   ierr = MatCreateSubMatrix_MPIBAIJ_Private(A,crowp,lcolp,clocal_size,MAT_INITIAL_MATRIX,B);CHKERRQ(ierr);
2241   /* clean up */
2242   if (pcomm!=comm) {
2243     ierr = ISDestroy(&crowp);CHKERRQ(ierr);
2244   }
2245   if (size>1) {
2246     ierr = ISDestroy(&lcolp);CHKERRQ(ierr);
2247   }
2248   PetscFunctionReturn(0);
2249 }
2250 
2251 PetscErrorCode  MatGetGhosts_MPIBAIJ(Mat mat,PetscInt *nghosts,const PetscInt *ghosts[])
2252 {
2253   Mat_MPIBAIJ *baij = (Mat_MPIBAIJ*) mat->data;
2254   Mat_SeqBAIJ *B    = (Mat_SeqBAIJ*)baij->B->data;
2255 
2256   PetscFunctionBegin;
2257   if (nghosts) *nghosts = B->nbs;
2258   if (ghosts) *ghosts = baij->garray;
2259   PetscFunctionReturn(0);
2260 }
2261 
2262 PetscErrorCode MatGetSeqNonzeroStructure_MPIBAIJ(Mat A,Mat *newmat)
2263 {
2264   Mat            B;
2265   Mat_MPIBAIJ    *a  = (Mat_MPIBAIJ*)A->data;
2266   Mat_SeqBAIJ    *ad = (Mat_SeqBAIJ*)a->A->data,*bd = (Mat_SeqBAIJ*)a->B->data;
2267   Mat_SeqAIJ     *b;
2268   PetscErrorCode ierr;
2269   PetscMPIInt    size,rank,*recvcounts = 0,*displs = 0;
2270   PetscInt       sendcount,i,*rstarts = A->rmap->range,n,cnt,j,bs = A->rmap->bs;
2271   PetscInt       m,*garray = a->garray,*lens,*jsendbuf,*a_jsendbuf,*b_jsendbuf;
2272 
2273   PetscFunctionBegin;
2274   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&size);CHKERRQ(ierr);
2275   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A),&rank);CHKERRQ(ierr);
2276 
2277   /* ----------------------------------------------------------------
2278      Tell every processor the number of nonzeros per row
2279   */
2280   ierr = PetscMalloc1(A->rmap->N/bs,&lens);CHKERRQ(ierr);
2281   for (i=A->rmap->rstart/bs; i<A->rmap->rend/bs; i++) {
2282     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];
2283   }
2284   ierr      = PetscMalloc1(2*size,&recvcounts);CHKERRQ(ierr);
2285   displs    = recvcounts + size;
2286   for (i=0; i<size; i++) {
2287     recvcounts[i] = A->rmap->range[i+1]/bs - A->rmap->range[i]/bs;
2288     displs[i]     = A->rmap->range[i]/bs;
2289   }
2290 #if defined(PETSC_HAVE_MPI_IN_PLACE)
2291   ierr = MPI_Allgatherv(MPI_IN_PLACE,0,MPI_DATATYPE_NULL,lens,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2292 #else
2293   sendcount = A->rmap->rend/bs - A->rmap->rstart/bs;
2294   ierr = MPI_Allgatherv(lens+A->rmap->rstart/bs,sendcount,MPIU_INT,lens,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2295 #endif
2296   /* ---------------------------------------------------------------
2297      Create the sequential matrix of the same type as the local block diagonal
2298   */
2299   ierr = MatCreate(PETSC_COMM_SELF,&B);CHKERRQ(ierr);
2300   ierr = MatSetSizes(B,A->rmap->N/bs,A->cmap->N/bs,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2301   ierr = MatSetType(B,MATSEQAIJ);CHKERRQ(ierr);
2302   ierr = MatSeqAIJSetPreallocation(B,0,lens);CHKERRQ(ierr);
2303   b    = (Mat_SeqAIJ*)B->data;
2304 
2305   /*--------------------------------------------------------------------
2306     Copy my part of matrix column indices over
2307   */
2308   sendcount  = ad->nz + bd->nz;
2309   jsendbuf   = b->j + b->i[rstarts[rank]/bs];
2310   a_jsendbuf = ad->j;
2311   b_jsendbuf = bd->j;
2312   n          = A->rmap->rend/bs - A->rmap->rstart/bs;
2313   cnt        = 0;
2314   for (i=0; i<n; i++) {
2315 
2316     /* put in lower diagonal portion */
2317     m = bd->i[i+1] - bd->i[i];
2318     while (m > 0) {
2319       /* is it above diagonal (in bd (compressed) numbering) */
2320       if (garray[*b_jsendbuf] > A->rmap->rstart/bs + i) break;
2321       jsendbuf[cnt++] = garray[*b_jsendbuf++];
2322       m--;
2323     }
2324 
2325     /* put in diagonal portion */
2326     for (j=ad->i[i]; j<ad->i[i+1]; j++) {
2327       jsendbuf[cnt++] = A->rmap->rstart/bs + *a_jsendbuf++;
2328     }
2329 
2330     /* put in upper diagonal portion */
2331     while (m-- > 0) {
2332       jsendbuf[cnt++] = garray[*b_jsendbuf++];
2333     }
2334   }
2335   if (cnt != sendcount) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Corrupted PETSc matrix: nz given %D actual nz %D",sendcount,cnt);
2336 
2337   /*--------------------------------------------------------------------
2338     Gather all column indices to all processors
2339   */
2340   for (i=0; i<size; i++) {
2341     recvcounts[i] = 0;
2342     for (j=A->rmap->range[i]/bs; j<A->rmap->range[i+1]/bs; j++) {
2343       recvcounts[i] += lens[j];
2344     }
2345   }
2346   displs[0] = 0;
2347   for (i=1; i<size; i++) {
2348     displs[i] = displs[i-1] + recvcounts[i-1];
2349   }
2350 #if defined(PETSC_HAVE_MPI_IN_PLACE)
2351   ierr = MPI_Allgatherv(MPI_IN_PLACE,0,MPI_DATATYPE_NULL,b->j,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2352 #else
2353   ierr = MPI_Allgatherv(jsendbuf,sendcount,MPIU_INT,b->j,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2354 #endif
2355   /*--------------------------------------------------------------------
2356     Assemble the matrix into useable form (note numerical values not yet set)
2357   */
2358   /* set the b->ilen (length of each row) values */
2359   ierr = PetscMemcpy(b->ilen,lens,(A->rmap->N/bs)*sizeof(PetscInt));CHKERRQ(ierr);
2360   /* set the b->i indices */
2361   b->i[0] = 0;
2362   for (i=1; i<=A->rmap->N/bs; i++) {
2363     b->i[i] = b->i[i-1] + lens[i-1];
2364   }
2365   ierr = PetscFree(lens);CHKERRQ(ierr);
2366   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2367   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2368   ierr = PetscFree(recvcounts);CHKERRQ(ierr);
2369 
2370   if (A->symmetric) {
2371     ierr = MatSetOption(B,MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
2372   } else if (A->hermitian) {
2373     ierr = MatSetOption(B,MAT_HERMITIAN,PETSC_TRUE);CHKERRQ(ierr);
2374   } else if (A->structurally_symmetric) {
2375     ierr = MatSetOption(B,MAT_STRUCTURALLY_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
2376   }
2377   *newmat = B;
2378   PetscFunctionReturn(0);
2379 }
2380 
2381 PetscErrorCode MatSOR_MPIBAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2382 {
2383   Mat_MPIBAIJ    *mat = (Mat_MPIBAIJ*)matin->data;
2384   PetscErrorCode ierr;
2385   Vec            bb1 = 0;
2386 
2387   PetscFunctionBegin;
2388   if (flag == SOR_APPLY_UPPER) {
2389     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2390     PetscFunctionReturn(0);
2391   }
2392 
2393   if (its > 1 || ~flag & SOR_ZERO_INITIAL_GUESS) {
2394     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2395   }
2396 
2397   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
2398     if (flag & SOR_ZERO_INITIAL_GUESS) {
2399       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2400       its--;
2401     }
2402 
2403     while (its--) {
2404       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2405       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2406 
2407       /* update rhs: bb1 = bb - B*x */
2408       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2409       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);CHKERRQ(ierr);
2410 
2411       /* local sweep */
2412       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,1,xx);CHKERRQ(ierr);
2413     }
2414   } else if (flag & SOR_LOCAL_FORWARD_SWEEP) {
2415     if (flag & SOR_ZERO_INITIAL_GUESS) {
2416       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2417       its--;
2418     }
2419     while (its--) {
2420       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2421       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2422 
2423       /* update rhs: bb1 = bb - B*x */
2424       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2425       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);CHKERRQ(ierr);
2426 
2427       /* local sweep */
2428       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_FORWARD_SWEEP,fshift,lits,1,xx);CHKERRQ(ierr);
2429     }
2430   } else if (flag & SOR_LOCAL_BACKWARD_SWEEP) {
2431     if (flag & SOR_ZERO_INITIAL_GUESS) {
2432       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2433       its--;
2434     }
2435     while (its--) {
2436       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2437       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2438 
2439       /* update rhs: bb1 = bb - B*x */
2440       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2441       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);CHKERRQ(ierr);
2442 
2443       /* local sweep */
2444       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_BACKWARD_SWEEP,fshift,lits,1,xx);CHKERRQ(ierr);
2445     }
2446   } else SETERRQ(PetscObjectComm((PetscObject)matin),PETSC_ERR_SUP,"Parallel version of SOR requested not supported");
2447 
2448   ierr = VecDestroy(&bb1);CHKERRQ(ierr);
2449   PetscFunctionReturn(0);
2450 }
2451 
2452 PetscErrorCode MatGetColumnNorms_MPIBAIJ(Mat A,NormType type,PetscReal *norms)
2453 {
2454   PetscErrorCode ierr;
2455   Mat_MPIBAIJ    *aij = (Mat_MPIBAIJ*)A->data;
2456   PetscInt       N,i,*garray = aij->garray;
2457   PetscInt       ib,jb,bs = A->rmap->bs;
2458   Mat_SeqBAIJ    *a_aij = (Mat_SeqBAIJ*) aij->A->data;
2459   MatScalar      *a_val = a_aij->a;
2460   Mat_SeqBAIJ    *b_aij = (Mat_SeqBAIJ*) aij->B->data;
2461   MatScalar      *b_val = b_aij->a;
2462   PetscReal      *work;
2463 
2464   PetscFunctionBegin;
2465   ierr = MatGetSize(A,NULL,&N);CHKERRQ(ierr);
2466   ierr = PetscCalloc1(N,&work);CHKERRQ(ierr);
2467   if (type == NORM_2) {
2468     for (i=a_aij->i[0]; i<a_aij->i[aij->A->rmap->n/bs]; i++) {
2469       for (jb=0; jb<bs; jb++) {
2470         for (ib=0; ib<bs; ib++) {
2471           work[A->cmap->rstart + a_aij->j[i] * bs + jb] += PetscAbsScalar(*a_val * *a_val);
2472           a_val++;
2473         }
2474       }
2475     }
2476     for (i=b_aij->i[0]; i<b_aij->i[aij->B->rmap->n/bs]; i++) {
2477       for (jb=0; jb<bs; jb++) {
2478         for (ib=0; ib<bs; ib++) {
2479           work[garray[b_aij->j[i]] * bs + jb] += PetscAbsScalar(*b_val * *b_val);
2480           b_val++;
2481         }
2482       }
2483     }
2484   } else if (type == NORM_1) {
2485     for (i=a_aij->i[0]; i<a_aij->i[aij->A->rmap->n/bs]; i++) {
2486       for (jb=0; jb<bs; jb++) {
2487         for (ib=0; ib<bs; ib++) {
2488           work[A->cmap->rstart + a_aij->j[i] * bs + jb] += PetscAbsScalar(*a_val);
2489           a_val++;
2490         }
2491       }
2492     }
2493     for (i=b_aij->i[0]; i<b_aij->i[aij->B->rmap->n/bs]; i++) {
2494       for (jb=0; jb<bs; jb++) {
2495        for (ib=0; ib<bs; ib++) {
2496           work[garray[b_aij->j[i]] * bs + jb] += PetscAbsScalar(*b_val);
2497           b_val++;
2498         }
2499       }
2500     }
2501   } else if (type == NORM_INFINITY) {
2502     for (i=a_aij->i[0]; i<a_aij->i[aij->A->rmap->n/bs]; i++) {
2503       for (jb=0; jb<bs; jb++) {
2504         for (ib=0; ib<bs; ib++) {
2505           int col = A->cmap->rstart + a_aij->j[i] * bs + jb;
2506           work[col] = PetscMax(PetscAbsScalar(*a_val), work[col]);
2507           a_val++;
2508         }
2509       }
2510     }
2511     for (i=b_aij->i[0]; i<b_aij->i[aij->B->rmap->n/bs]; i++) {
2512       for (jb=0; jb<bs; jb++) {
2513         for (ib=0; ib<bs; ib++) {
2514           int col = garray[b_aij->j[i]] * bs + jb;
2515           work[col] = PetscMax(PetscAbsScalar(*b_val), work[col]);
2516           b_val++;
2517         }
2518       }
2519     }
2520   } else SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONG,"Unknown NormType");
2521   if (type == NORM_INFINITY) {
2522     ierr = MPIU_Allreduce(work,norms,N,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2523   } else {
2524     ierr = MPIU_Allreduce(work,norms,N,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2525   }
2526   ierr = PetscFree(work);CHKERRQ(ierr);
2527   if (type == NORM_2) {
2528     for (i=0; i<N; i++) norms[i] = PetscSqrtReal(norms[i]);
2529   }
2530   PetscFunctionReturn(0);
2531 }
2532 
2533 PetscErrorCode MatInvertBlockDiagonal_MPIBAIJ(Mat A,const PetscScalar **values)
2534 {
2535   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*) A->data;
2536   PetscErrorCode ierr;
2537 
2538   PetscFunctionBegin;
2539   ierr = MatInvertBlockDiagonal(a->A,values);CHKERRQ(ierr);
2540   A->factorerrortype             = a->A->factorerrortype;
2541   A->factorerror_zeropivot_value = a->A->factorerror_zeropivot_value;
2542   A->factorerror_zeropivot_row   = a->A->factorerror_zeropivot_row;
2543   PetscFunctionReturn(0);
2544 }
2545 
2546 PetscErrorCode MatShift_MPIBAIJ(Mat Y,PetscScalar a)
2547 {
2548   PetscErrorCode ierr;
2549   Mat_MPIBAIJ    *maij = (Mat_MPIBAIJ*)Y->data;
2550   Mat_SeqBAIJ    *aij = (Mat_SeqBAIJ*)maij->A->data;
2551 
2552   PetscFunctionBegin;
2553   if (!Y->preallocated) {
2554     ierr = MatMPIBAIJSetPreallocation(Y,Y->rmap->bs,1,NULL,0,NULL);CHKERRQ(ierr);
2555   } else if (!aij->nz) {
2556     PetscInt nonew = aij->nonew;
2557     ierr = MatSeqBAIJSetPreallocation(maij->A,Y->rmap->bs,1,NULL);CHKERRQ(ierr);
2558     aij->nonew = nonew;
2559   }
2560   ierr = MatShift_Basic(Y,a);CHKERRQ(ierr);
2561   PetscFunctionReturn(0);
2562 }
2563 
2564 PetscErrorCode MatMissingDiagonal_MPIBAIJ(Mat A,PetscBool  *missing,PetscInt *d)
2565 {
2566   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
2567   PetscErrorCode ierr;
2568 
2569   PetscFunctionBegin;
2570   if (A->rmap->n != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only works for square matrices");
2571   ierr = MatMissingDiagonal(a->A,missing,d);CHKERRQ(ierr);
2572   if (d) {
2573     PetscInt rstart;
2574     ierr = MatGetOwnershipRange(A,&rstart,NULL);CHKERRQ(ierr);
2575     *d += rstart/A->rmap->bs;
2576 
2577   }
2578   PetscFunctionReturn(0);
2579 }
2580 
2581 PetscErrorCode  MatGetDiagonalBlock_MPIBAIJ(Mat A,Mat *a)
2582 {
2583   PetscFunctionBegin;
2584   *a = ((Mat_MPIBAIJ*)A->data)->A;
2585   PetscFunctionReturn(0);
2586 }
2587 
2588 /* -------------------------------------------------------------------*/
2589 static struct _MatOps MatOps_Values = {MatSetValues_MPIBAIJ,
2590                                        MatGetRow_MPIBAIJ,
2591                                        MatRestoreRow_MPIBAIJ,
2592                                        MatMult_MPIBAIJ,
2593                                 /* 4*/ MatMultAdd_MPIBAIJ,
2594                                        MatMultTranspose_MPIBAIJ,
2595                                        MatMultTransposeAdd_MPIBAIJ,
2596                                        0,
2597                                        0,
2598                                        0,
2599                                 /*10*/ 0,
2600                                        0,
2601                                        0,
2602                                        MatSOR_MPIBAIJ,
2603                                        MatTranspose_MPIBAIJ,
2604                                 /*15*/ MatGetInfo_MPIBAIJ,
2605                                        MatEqual_MPIBAIJ,
2606                                        MatGetDiagonal_MPIBAIJ,
2607                                        MatDiagonalScale_MPIBAIJ,
2608                                        MatNorm_MPIBAIJ,
2609                                 /*20*/ MatAssemblyBegin_MPIBAIJ,
2610                                        MatAssemblyEnd_MPIBAIJ,
2611                                        MatSetOption_MPIBAIJ,
2612                                        MatZeroEntries_MPIBAIJ,
2613                                 /*24*/ MatZeroRows_MPIBAIJ,
2614                                        0,
2615                                        0,
2616                                        0,
2617                                        0,
2618                                 /*29*/ MatSetUp_MPIBAIJ,
2619                                        0,
2620                                        0,
2621                                        MatGetDiagonalBlock_MPIBAIJ,
2622                                        0,
2623                                 /*34*/ MatDuplicate_MPIBAIJ,
2624                                        0,
2625                                        0,
2626                                        0,
2627                                        0,
2628                                 /*39*/ MatAXPY_MPIBAIJ,
2629                                        MatCreateSubMatrices_MPIBAIJ,
2630                                        MatIncreaseOverlap_MPIBAIJ,
2631                                        MatGetValues_MPIBAIJ,
2632                                        MatCopy_MPIBAIJ,
2633                                 /*44*/ 0,
2634                                        MatScale_MPIBAIJ,
2635                                        MatShift_MPIBAIJ,
2636                                        0,
2637                                        MatZeroRowsColumns_MPIBAIJ,
2638                                 /*49*/ 0,
2639                                        0,
2640                                        0,
2641                                        0,
2642                                        0,
2643                                 /*54*/ MatFDColoringCreate_MPIXAIJ,
2644                                        0,
2645                                        MatSetUnfactored_MPIBAIJ,
2646                                        MatPermute_MPIBAIJ,
2647                                        MatSetValuesBlocked_MPIBAIJ,
2648                                 /*59*/ MatCreateSubMatrix_MPIBAIJ,
2649                                        MatDestroy_MPIBAIJ,
2650                                        MatView_MPIBAIJ,
2651                                        0,
2652                                        0,
2653                                 /*64*/ 0,
2654                                        0,
2655                                        0,
2656                                        0,
2657                                        0,
2658                                 /*69*/ MatGetRowMaxAbs_MPIBAIJ,
2659                                        0,
2660                                        0,
2661                                        0,
2662                                        0,
2663                                 /*74*/ 0,
2664                                        MatFDColoringApply_BAIJ,
2665                                        0,
2666                                        0,
2667                                        0,
2668                                 /*79*/ 0,
2669                                        0,
2670                                        0,
2671                                        0,
2672                                        MatLoad_MPIBAIJ,
2673                                 /*84*/ 0,
2674                                        0,
2675                                        0,
2676                                        0,
2677                                        0,
2678                                 /*89*/ 0,
2679                                        0,
2680                                        0,
2681                                        0,
2682                                        0,
2683                                 /*94*/ 0,
2684                                        0,
2685                                        0,
2686                                        0,
2687                                        0,
2688                                 /*99*/ 0,
2689                                        0,
2690                                        0,
2691                                        0,
2692                                        0,
2693                                 /*104*/0,
2694                                        MatRealPart_MPIBAIJ,
2695                                        MatImaginaryPart_MPIBAIJ,
2696                                        0,
2697                                        0,
2698                                 /*109*/0,
2699                                        0,
2700                                        0,
2701                                        0,
2702                                        MatMissingDiagonal_MPIBAIJ,
2703                                 /*114*/MatGetSeqNonzeroStructure_MPIBAIJ,
2704                                        0,
2705                                        MatGetGhosts_MPIBAIJ,
2706                                        0,
2707                                        0,
2708                                 /*119*/0,
2709                                        0,
2710                                        0,
2711                                        0,
2712                                        MatGetMultiProcBlock_MPIBAIJ,
2713                                 /*124*/0,
2714                                        MatGetColumnNorms_MPIBAIJ,
2715                                        MatInvertBlockDiagonal_MPIBAIJ,
2716                                        0,
2717                                        0,
2718                                /*129*/ 0,
2719                                        0,
2720                                        0,
2721                                        0,
2722                                        0,
2723                                /*134*/ 0,
2724                                        0,
2725                                        0,
2726                                        0,
2727                                        0,
2728                                /*139*/ MatSetBlockSizes_Default,
2729                                        0,
2730                                        0,
2731                                        MatFDColoringSetUp_MPIXAIJ,
2732                                        0,
2733                                 /*144*/MatCreateMPIMatConcatenateSeqMat_MPIBAIJ
2734 };
2735 
2736 
2737 PETSC_INTERN PetscErrorCode MatConvert_MPIBAIJ_MPISBAIJ(Mat, MatType,MatReuse,Mat*);
2738 
2739 PetscErrorCode MatMPIBAIJSetPreallocationCSR_MPIBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
2740 {
2741   PetscInt       m,rstart,cstart,cend;
2742   PetscInt       i,j,d,nz,nz_max=0,*d_nnz=0,*o_nnz=0;
2743   const PetscInt *JJ    =0;
2744   PetscScalar    *values=0;
2745   PetscBool      roworiented = ((Mat_MPIBAIJ*)B->data)->roworiented;
2746   PetscErrorCode ierr;
2747 
2748   PetscFunctionBegin;
2749   ierr   = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
2750   ierr   = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
2751   ierr   = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
2752   ierr   = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
2753   ierr   = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
2754   m      = B->rmap->n/bs;
2755   rstart = B->rmap->rstart/bs;
2756   cstart = B->cmap->rstart/bs;
2757   cend   = B->cmap->rend/bs;
2758 
2759   if (ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"ii[0] must be 0 but it is %D",ii[0]);
2760   ierr = PetscMalloc2(m,&d_nnz,m,&o_nnz);CHKERRQ(ierr);
2761   for (i=0; i<m; i++) {
2762     nz = ii[i+1] - ii[i];
2763     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Local row %D has a negative number of columns %D",i,nz);
2764     nz_max = PetscMax(nz_max,nz);
2765     JJ     = jj + ii[i];
2766     for (j=0; j<nz; j++) {
2767       if (*JJ >= cstart) break;
2768       JJ++;
2769     }
2770     d = 0;
2771     for (; j<nz; j++) {
2772       if (*JJ++ >= cend) break;
2773       d++;
2774     }
2775     d_nnz[i] = d;
2776     o_nnz[i] = nz - d;
2777   }
2778   ierr = MatMPIBAIJSetPreallocation(B,bs,0,d_nnz,0,o_nnz);CHKERRQ(ierr);
2779   ierr = PetscFree2(d_nnz,o_nnz);CHKERRQ(ierr);
2780 
2781   values = (PetscScalar*)V;
2782   if (!values) {
2783     ierr = PetscMalloc1(bs*bs*nz_max,&values);CHKERRQ(ierr);
2784     ierr = PetscMemzero(values,bs*bs*nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
2785   }
2786   for (i=0; i<m; i++) {
2787     PetscInt          row    = i + rstart;
2788     PetscInt          ncols  = ii[i+1] - ii[i];
2789     const PetscInt    *icols = jj + ii[i];
2790     if (!roworiented) {         /* block ordering matches the non-nested layout of MatSetValues so we can insert entire rows */
2791       const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
2792       ierr = MatSetValuesBlocked_MPIBAIJ(B,1,&row,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
2793     } else {                    /* block ordering does not match so we can only insert one block at a time. */
2794       PetscInt j;
2795       for (j=0; j<ncols; j++) {
2796         const PetscScalar *svals = values + (V ? (bs*bs*(ii[i]+j)) : 0);
2797         ierr = MatSetValuesBlocked_MPIBAIJ(B,1,&row,1,&icols[j],svals,INSERT_VALUES);CHKERRQ(ierr);
2798       }
2799     }
2800   }
2801 
2802   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
2803   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2804   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2805   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
2806   PetscFunctionReturn(0);
2807 }
2808 
2809 /*@C
2810    MatMPIBAIJSetPreallocationCSR - Allocates memory for a sparse parallel matrix in BAIJ format
2811    (the default parallel PETSc format).
2812 
2813    Collective on MPI_Comm
2814 
2815    Input Parameters:
2816 +  B - the matrix
2817 .  bs - the block size
2818 .  i - the indices into j for the start of each local row (starts with zero)
2819 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
2820 -  v - optional values in the matrix
2821 
2822    Level: developer
2823 
2824    Notes: The order of the entries in values is specified by the MatOption MAT_ROW_ORIENTED.  For example, C programs
2825    may want to use the default MAT_ROW_ORIENTED=PETSC_TRUE and use an array v[nnz][bs][bs] where the second index is
2826    over rows within a block and the last index is over columns within a block row.  Fortran programs will likely set
2827    MAT_ROW_ORIENTED=PETSC_FALSE and use a Fortran array v(bs,bs,nnz) in which the first index is over rows within a
2828    block column and the second index is over columns within a block.
2829 
2830 .keywords: matrix, aij, compressed row, sparse, parallel
2831 
2832 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIBAIJSetPreallocation(), MatCreateAIJ(), MPIAIJ, MatCreateMPIBAIJWithArrays(), MPIBAIJ
2833 @*/
2834 PetscErrorCode  MatMPIBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
2835 {
2836   PetscErrorCode ierr;
2837 
2838   PetscFunctionBegin;
2839   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
2840   PetscValidType(B,1);
2841   PetscValidLogicalCollectiveInt(B,bs,2);
2842   ierr = PetscTryMethod(B,"MatMPIBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));CHKERRQ(ierr);
2843   PetscFunctionReturn(0);
2844 }
2845 
2846 PetscErrorCode  MatMPIBAIJSetPreallocation_MPIBAIJ(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt *d_nnz,PetscInt o_nz,const PetscInt *o_nnz)
2847 {
2848   Mat_MPIBAIJ    *b;
2849   PetscErrorCode ierr;
2850   PetscInt       i;
2851 
2852   PetscFunctionBegin;
2853   ierr = MatSetBlockSize(B,PetscAbs(bs));CHKERRQ(ierr);
2854   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
2855   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
2856   ierr = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
2857 
2858   if (d_nnz) {
2859     for (i=0; i<B->rmap->n/bs; i++) {
2860       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]);
2861     }
2862   }
2863   if (o_nnz) {
2864     for (i=0; i<B->rmap->n/bs; i++) {
2865       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]);
2866     }
2867   }
2868 
2869   b      = (Mat_MPIBAIJ*)B->data;
2870   b->bs2 = bs*bs;
2871   b->mbs = B->rmap->n/bs;
2872   b->nbs = B->cmap->n/bs;
2873   b->Mbs = B->rmap->N/bs;
2874   b->Nbs = B->cmap->N/bs;
2875 
2876   for (i=0; i<=b->size; i++) {
2877     b->rangebs[i] = B->rmap->range[i]/bs;
2878   }
2879   b->rstartbs = B->rmap->rstart/bs;
2880   b->rendbs   = B->rmap->rend/bs;
2881   b->cstartbs = B->cmap->rstart/bs;
2882   b->cendbs   = B->cmap->rend/bs;
2883 
2884 #if defined(PETSC_USE_CTABLE)
2885   ierr = PetscTableDestroy(&b->colmap);CHKERRQ(ierr);
2886 #else
2887   ierr = PetscFree(b->colmap);CHKERRQ(ierr);
2888 #endif
2889   ierr = PetscFree(b->garray);CHKERRQ(ierr);
2890   ierr = VecDestroy(&b->lvec);CHKERRQ(ierr);
2891   ierr = VecScatterDestroy(&b->Mvctx);CHKERRQ(ierr);
2892 
2893   /* Because the B will have been resized we simply destroy it and create a new one each time */
2894   ierr = MatDestroy(&b->B);CHKERRQ(ierr);
2895   ierr = MatCreate(PETSC_COMM_SELF,&b->B);CHKERRQ(ierr);
2896   ierr = MatSetSizes(b->B,B->rmap->n,B->cmap->N,B->rmap->n,B->cmap->N);CHKERRQ(ierr);
2897   ierr = MatSetType(b->B,MATSEQBAIJ);CHKERRQ(ierr);
2898   ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->B);CHKERRQ(ierr);
2899 
2900   if (!B->preallocated) {
2901     ierr = MatCreate(PETSC_COMM_SELF,&b->A);CHKERRQ(ierr);
2902     ierr = MatSetSizes(b->A,B->rmap->n,B->cmap->n,B->rmap->n,B->cmap->n);CHKERRQ(ierr);
2903     ierr = MatSetType(b->A,MATSEQBAIJ);CHKERRQ(ierr);
2904     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->A);CHKERRQ(ierr);
2905     ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),bs,&B->bstash);CHKERRQ(ierr);
2906   }
2907 
2908   ierr = MatSeqBAIJSetPreallocation(b->A,bs,d_nz,d_nnz);CHKERRQ(ierr);
2909   ierr = MatSeqBAIJSetPreallocation(b->B,bs,o_nz,o_nnz);CHKERRQ(ierr);
2910   B->preallocated  = PETSC_TRUE;
2911   B->was_assembled = PETSC_FALSE;
2912   B->assembled     = PETSC_FALSE;
2913   PetscFunctionReturn(0);
2914 }
2915 
2916 extern PetscErrorCode  MatDiagonalScaleLocal_MPIBAIJ(Mat,Vec);
2917 extern PetscErrorCode  MatSetHashTableFactor_MPIBAIJ(Mat,PetscReal);
2918 
2919 PETSC_INTERN PetscErrorCode MatConvert_MPIBAIJ_MPIAdj(Mat B, MatType newtype,MatReuse reuse,Mat *adj)
2920 {
2921   Mat_MPIBAIJ    *b = (Mat_MPIBAIJ*)B->data;
2922   PetscErrorCode ierr;
2923   Mat_SeqBAIJ    *d  = (Mat_SeqBAIJ*) b->A->data,*o = (Mat_SeqBAIJ*) b->B->data;
2924   PetscInt       M   = B->rmap->n/B->rmap->bs,i,*ii,*jj,cnt,j,k,rstart = B->rmap->rstart/B->rmap->bs;
2925   const PetscInt *id = d->i, *jd = d->j, *io = o->i, *jo = o->j, *garray = b->garray;
2926 
2927   PetscFunctionBegin;
2928   ierr  = PetscMalloc1(M+1,&ii);CHKERRQ(ierr);
2929   ii[0] = 0;
2930   for (i=0; i<M; i++) {
2931     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]);
2932     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]);
2933     ii[i+1] = ii[i] + id[i+1] - id[i] + io[i+1] - io[i];
2934     /* remove one from count of matrix has diagonal */
2935     for (j=id[i]; j<id[i+1]; j++) {
2936       if (jd[j] == i) {ii[i+1]--;break;}
2937     }
2938   }
2939   ierr = PetscMalloc1(ii[M],&jj);CHKERRQ(ierr);
2940   cnt  = 0;
2941   for (i=0; i<M; i++) {
2942     for (j=io[i]; j<io[i+1]; j++) {
2943       if (garray[jo[j]] > rstart) break;
2944       jj[cnt++] = garray[jo[j]];
2945     }
2946     for (k=id[i]; k<id[i+1]; k++) {
2947       if (jd[k] != i) {
2948         jj[cnt++] = rstart + jd[k];
2949       }
2950     }
2951     for (; j<io[i+1]; j++) {
2952       jj[cnt++] = garray[jo[j]];
2953     }
2954   }
2955   ierr = MatCreateMPIAdj(PetscObjectComm((PetscObject)B),M,B->cmap->N/B->rmap->bs,ii,jj,NULL,adj);CHKERRQ(ierr);
2956   PetscFunctionReturn(0);
2957 }
2958 
2959 #include <../src/mat/impls/aij/mpi/mpiaij.h>
2960 
2961 PETSC_INTERN PetscErrorCode MatConvert_SeqBAIJ_SeqAIJ(Mat,MatType,MatReuse,Mat*);
2962 
2963 PETSC_INTERN PetscErrorCode MatConvert_MPIBAIJ_MPIAIJ(Mat A,MatType newtype,MatReuse reuse,Mat *newmat)
2964 {
2965   PetscErrorCode ierr;
2966   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
2967   Mat            B;
2968   Mat_MPIAIJ     *b;
2969 
2970   PetscFunctionBegin;
2971   if (!A->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Matrix must be assembled");
2972 
2973   if (reuse == MAT_REUSE_MATRIX) {
2974     B = *newmat;
2975   } else {
2976     ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2977     ierr = MatSetType(B,MATMPIAIJ);CHKERRQ(ierr);
2978     ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2979     ierr = MatSetBlockSizes(B,A->rmap->bs,A->cmap->bs);CHKERRQ(ierr);
2980     ierr = MatSeqAIJSetPreallocation(B,0,NULL);CHKERRQ(ierr);
2981     ierr = MatMPIAIJSetPreallocation(B,0,NULL,0,NULL);CHKERRQ(ierr);
2982   }
2983   b = (Mat_MPIAIJ*) B->data;
2984 
2985   if (reuse == MAT_REUSE_MATRIX) {
2986     ierr = MatConvert_SeqBAIJ_SeqAIJ(a->A, MATSEQAIJ, MAT_REUSE_MATRIX, &b->A);CHKERRQ(ierr);
2987     ierr = MatConvert_SeqBAIJ_SeqAIJ(a->B, MATSEQAIJ, MAT_REUSE_MATRIX, &b->B);CHKERRQ(ierr);
2988   } else {
2989     ierr = MatDestroy(&b->A);CHKERRQ(ierr);
2990     ierr = MatDestroy(&b->B);CHKERRQ(ierr);
2991     ierr = MatDisAssemble_MPIBAIJ(A);CHKERRQ(ierr);
2992     ierr = MatConvert_SeqBAIJ_SeqAIJ(a->A, MATSEQAIJ, MAT_INITIAL_MATRIX, &b->A);CHKERRQ(ierr);
2993     ierr = MatConvert_SeqBAIJ_SeqAIJ(a->B, MATSEQAIJ, MAT_INITIAL_MATRIX, &b->B);CHKERRQ(ierr);
2994     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2995     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2996   }
2997   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2998   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2999 
3000   if (reuse == MAT_INPLACE_MATRIX) {
3001     ierr = MatHeaderReplace(A,&B);CHKERRQ(ierr);
3002   } else {
3003    *newmat = B;
3004   }
3005   PetscFunctionReturn(0);
3006 }
3007 
3008 /*MC
3009    MATMPIBAIJ - MATMPIBAIJ = "mpibaij" - A matrix type to be used for distributed block sparse matrices.
3010 
3011    Options Database Keys:
3012 + -mat_type mpibaij - sets the matrix type to "mpibaij" during a call to MatSetFromOptions()
3013 . -mat_block_size <bs> - set the blocksize used to store the matrix
3014 - -mat_use_hash_table <fact>
3015 
3016   Level: beginner
3017 
3018 .seealso: MatCreateMPIBAIJ
3019 M*/
3020 
3021 PETSC_INTERN PetscErrorCode MatConvert_MPIBAIJ_MPIBSTRM(Mat,MatType,MatReuse,Mat*);
3022 
3023 PETSC_EXTERN PetscErrorCode MatCreate_MPIBAIJ(Mat B)
3024 {
3025   Mat_MPIBAIJ    *b;
3026   PetscErrorCode ierr;
3027   PetscBool      flg = PETSC_FALSE;
3028 
3029   PetscFunctionBegin;
3030   ierr    = PetscNewLog(B,&b);CHKERRQ(ierr);
3031   B->data = (void*)b;
3032 
3033   ierr         = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
3034   B->assembled = PETSC_FALSE;
3035 
3036   B->insertmode = NOT_SET_VALUES;
3037   ierr          = MPI_Comm_rank(PetscObjectComm((PetscObject)B),&b->rank);CHKERRQ(ierr);
3038   ierr          = MPI_Comm_size(PetscObjectComm((PetscObject)B),&b->size);CHKERRQ(ierr);
3039 
3040   /* build local table of row and column ownerships */
3041   ierr = PetscMalloc1(b->size+1,&b->rangebs);CHKERRQ(ierr);
3042 
3043   /* build cache for off array entries formed */
3044   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),1,&B->stash);CHKERRQ(ierr);
3045 
3046   b->donotstash  = PETSC_FALSE;
3047   b->colmap      = NULL;
3048   b->garray      = NULL;
3049   b->roworiented = PETSC_TRUE;
3050 
3051   /* stuff used in block assembly */
3052   b->barray = 0;
3053 
3054   /* stuff used for matrix vector multiply */
3055   b->lvec  = 0;
3056   b->Mvctx = 0;
3057 
3058   /* stuff for MatGetRow() */
3059   b->rowindices   = 0;
3060   b->rowvalues    = 0;
3061   b->getrowactive = PETSC_FALSE;
3062 
3063   /* hash table stuff */
3064   b->ht           = 0;
3065   b->hd           = 0;
3066   b->ht_size      = 0;
3067   b->ht_flag      = PETSC_FALSE;
3068   b->ht_fact      = 0;
3069   b->ht_total_ct  = 0;
3070   b->ht_insert_ct = 0;
3071 
3072   /* stuff for MatCreateSubMatrices_MPIBAIJ_local() */
3073   b->ijonly = PETSC_FALSE;
3074 
3075 
3076   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpiadj_C",MatConvert_MPIBAIJ_MPIAdj);CHKERRQ(ierr);
3077   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpiaij_C",MatConvert_MPIBAIJ_MPIAIJ);CHKERRQ(ierr);
3078   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpisbaij_C",MatConvert_MPIBAIJ_MPISBAIJ);CHKERRQ(ierr);
3079 #if defined(PETSC_HAVE_HYPRE)
3080   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_hypre_C",MatConvert_AIJ_HYPRE);CHKERRQ(ierr);
3081 #endif
3082   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_MPIBAIJ);CHKERRQ(ierr);
3083   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_MPIBAIJ);CHKERRQ(ierr);
3084   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPIBAIJSetPreallocation_C",MatMPIBAIJSetPreallocation_MPIBAIJ);CHKERRQ(ierr);
3085   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPIBAIJSetPreallocationCSR_C",MatMPIBAIJSetPreallocationCSR_MPIBAIJ);CHKERRQ(ierr);
3086   ierr = PetscObjectComposeFunction((PetscObject)B,"MatDiagonalScaleLocal_C",MatDiagonalScaleLocal_MPIBAIJ);CHKERRQ(ierr);
3087   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSetHashTableFactor_C",MatSetHashTableFactor_MPIBAIJ);CHKERRQ(ierr);
3088   ierr = PetscObjectChangeTypeName((PetscObject)B,MATMPIBAIJ);CHKERRQ(ierr);
3089 
3090   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)B),NULL,"Options for loading MPIBAIJ matrix 1","Mat");CHKERRQ(ierr);
3091   ierr = PetscOptionsName("-mat_use_hash_table","Use hash table to save time in constructing matrix","MatSetOption",&flg);CHKERRQ(ierr);
3092   if (flg) {
3093     PetscReal fact = 1.39;
3094     ierr = MatSetOption(B,MAT_USE_HASH_TABLE,PETSC_TRUE);CHKERRQ(ierr);
3095     ierr = PetscOptionsReal("-mat_use_hash_table","Use hash table factor","MatMPIBAIJSetHashTableFactor",fact,&fact,NULL);CHKERRQ(ierr);
3096     if (fact <= 1.0) fact = 1.39;
3097     ierr = MatMPIBAIJSetHashTableFactor(B,fact);CHKERRQ(ierr);
3098     ierr = PetscInfo1(B,"Hash table Factor used %5.2f\n",fact);CHKERRQ(ierr);
3099   }
3100   ierr = PetscOptionsEnd();CHKERRQ(ierr);
3101   PetscFunctionReturn(0);
3102 }
3103 
3104 /*MC
3105    MATBAIJ - MATBAIJ = "baij" - A matrix type to be used for block sparse matrices.
3106 
3107    This matrix type is identical to MATSEQBAIJ when constructed with a single process communicator,
3108    and MATMPIBAIJ otherwise.
3109 
3110    Options Database Keys:
3111 . -mat_type baij - sets the matrix type to "baij" during a call to MatSetFromOptions()
3112 
3113   Level: beginner
3114 
3115 .seealso: MatCreateBAIJ(),MATSEQBAIJ,MATMPIBAIJ, MatMPIBAIJSetPreallocation(), MatMPIBAIJSetPreallocationCSR()
3116 M*/
3117 
3118 /*@C
3119    MatMPIBAIJSetPreallocation - Allocates memory for a sparse parallel matrix in block AIJ format
3120    (block compressed row).  For good matrix assembly performance
3121    the user should preallocate the matrix storage by setting the parameters
3122    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
3123    performance can be increased by more than a factor of 50.
3124 
3125    Collective on Mat
3126 
3127    Input Parameters:
3128 +  B - the matrix
3129 .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
3130           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
3131 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
3132            submatrix  (same for all local rows)
3133 .  d_nnz - array containing the number of block nonzeros in the various block rows
3134            of the in diagonal portion of the local (possibly different for each block
3135            row) or NULL.  If you plan to factor the matrix you must leave room for the diagonal entry and
3136            set it even if it is zero.
3137 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
3138            submatrix (same for all local rows).
3139 -  o_nnz - array containing the number of nonzeros in the various block rows of the
3140            off-diagonal portion of the local submatrix (possibly different for
3141            each block row) or NULL.
3142 
3143    If the *_nnz parameter is given then the *_nz parameter is ignored
3144 
3145    Options Database Keys:
3146 +   -mat_block_size - size of the blocks to use
3147 -   -mat_use_hash_table <fact>
3148 
3149    Notes:
3150    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
3151    than it must be used on all processors that share the object for that argument.
3152 
3153    Storage Information:
3154    For a square global matrix we define each processor's diagonal portion
3155    to be its local rows and the corresponding columns (a square submatrix);
3156    each processor's off-diagonal portion encompasses the remainder of the
3157    local matrix (a rectangular submatrix).
3158 
3159    The user can specify preallocated storage for the diagonal part of
3160    the local submatrix with either d_nz or d_nnz (not both).  Set
3161    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
3162    memory allocation.  Likewise, specify preallocated storage for the
3163    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
3164 
3165    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
3166    the figure below we depict these three local rows and all columns (0-11).
3167 
3168 .vb
3169            0 1 2 3 4 5 6 7 8 9 10 11
3170           --------------------------
3171    row 3  |o o o d d d o o o o  o  o
3172    row 4  |o o o d d d o o o o  o  o
3173    row 5  |o o o d d d o o o o  o  o
3174           --------------------------
3175 .ve
3176 
3177    Thus, any entries in the d locations are stored in the d (diagonal)
3178    submatrix, and any entries in the o locations are stored in the
3179    o (off-diagonal) submatrix.  Note that the d and the o submatrices are
3180    stored simply in the MATSEQBAIJ format for compressed row storage.
3181 
3182    Now d_nz should indicate the number of block nonzeros per row in the d matrix,
3183    and o_nz should indicate the number of block nonzeros per row in the o matrix.
3184    In general, for PDE problems in which most nonzeros are near the diagonal,
3185    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
3186    or you will get TERRIBLE performance; see the users' manual chapter on
3187    matrices.
3188 
3189    You can call MatGetInfo() to get information on how effective the preallocation was;
3190    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3191    You can also run with the option -info and look for messages with the string
3192    malloc in them to see if additional memory allocation was needed.
3193 
3194    Level: intermediate
3195 
3196 .keywords: matrix, block, aij, compressed row, sparse, parallel
3197 
3198 .seealso: MatCreate(), MatCreateSeqBAIJ(), MatSetValues(), MatCreateBAIJ(), MatMPIBAIJSetPreallocationCSR(), PetscSplitOwnership()
3199 @*/
3200 PetscErrorCode  MatMPIBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
3201 {
3202   PetscErrorCode ierr;
3203 
3204   PetscFunctionBegin;
3205   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3206   PetscValidType(B,1);
3207   PetscValidLogicalCollectiveInt(B,bs,2);
3208   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);
3209   PetscFunctionReturn(0);
3210 }
3211 
3212 /*@C
3213    MatCreateBAIJ - Creates a sparse parallel matrix in block AIJ format
3214    (block compressed row).  For good matrix assembly performance
3215    the user should preallocate the matrix storage by setting the parameters
3216    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
3217    performance can be increased by more than a factor of 50.
3218 
3219    Collective on MPI_Comm
3220 
3221    Input Parameters:
3222 +  comm - MPI communicator
3223 .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
3224           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
3225 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
3226            This value should be the same as the local size used in creating the
3227            y vector for the matrix-vector product y = Ax.
3228 .  n - number of local columns (or PETSC_DECIDE to have calculated if N is given)
3229            This value should be the same as the local size used in creating the
3230            x vector for the matrix-vector product y = Ax.
3231 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
3232 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
3233 .  d_nz  - number of nonzero blocks per block row in diagonal portion of local
3234            submatrix  (same for all local rows)
3235 .  d_nnz - array containing the number of nonzero blocks in the various block rows
3236            of the in diagonal portion of the local (possibly different for each block
3237            row) or NULL.  If you plan to factor the matrix you must leave room for the diagonal entry
3238            and set it even if it is zero.
3239 .  o_nz  - number of nonzero blocks per block row in the off-diagonal portion of local
3240            submatrix (same for all local rows).
3241 -  o_nnz - array containing the number of nonzero blocks in the various block rows of the
3242            off-diagonal portion of the local submatrix (possibly different for
3243            each block row) or NULL.
3244 
3245    Output Parameter:
3246 .  A - the matrix
3247 
3248    Options Database Keys:
3249 +   -mat_block_size - size of the blocks to use
3250 -   -mat_use_hash_table <fact>
3251 
3252    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3253    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3254    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3255 
3256    Notes:
3257    If the *_nnz parameter is given then the *_nz parameter is ignored
3258 
3259    A nonzero block is any block that as 1 or more nonzeros in it
3260 
3261    The user MUST specify either the local or global matrix dimensions
3262    (possibly both).
3263 
3264    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
3265    than it must be used on all processors that share the object for that argument.
3266 
3267    Storage Information:
3268    For a square global matrix we define each processor's diagonal portion
3269    to be its local rows and the corresponding columns (a square submatrix);
3270    each processor's off-diagonal portion encompasses the remainder of the
3271    local matrix (a rectangular submatrix).
3272 
3273    The user can specify preallocated storage for the diagonal part of
3274    the local submatrix with either d_nz or d_nnz (not both).  Set
3275    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
3276    memory allocation.  Likewise, specify preallocated storage for the
3277    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
3278 
3279    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
3280    the figure below we depict these three local rows and all columns (0-11).
3281 
3282 .vb
3283            0 1 2 3 4 5 6 7 8 9 10 11
3284           --------------------------
3285    row 3  |o o o d d d o o o o  o  o
3286    row 4  |o o o d d d o o o o  o  o
3287    row 5  |o o o d d d o o o o  o  o
3288           --------------------------
3289 .ve
3290 
3291    Thus, any entries in the d locations are stored in the d (diagonal)
3292    submatrix, and any entries in the o locations are stored in the
3293    o (off-diagonal) submatrix.  Note that the d and the o submatrices are
3294    stored simply in the MATSEQBAIJ format for compressed row storage.
3295 
3296    Now d_nz should indicate the number of block nonzeros per row in the d matrix,
3297    and o_nz should indicate the number of block nonzeros per row in the o matrix.
3298    In general, for PDE problems in which most nonzeros are near the diagonal,
3299    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
3300    or you will get TERRIBLE performance; see the users' manual chapter on
3301    matrices.
3302 
3303    Level: intermediate
3304 
3305 .keywords: matrix, block, aij, compressed row, sparse, parallel
3306 
3307 .seealso: MatCreate(), MatCreateSeqBAIJ(), MatSetValues(), MatCreateBAIJ(), MatMPIBAIJSetPreallocation(), MatMPIBAIJSetPreallocationCSR()
3308 @*/
3309 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)
3310 {
3311   PetscErrorCode ierr;
3312   PetscMPIInt    size;
3313 
3314   PetscFunctionBegin;
3315   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3316   ierr = MatSetSizes(*A,m,n,M,N);CHKERRQ(ierr);
3317   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3318   if (size > 1) {
3319     ierr = MatSetType(*A,MATMPIBAIJ);CHKERRQ(ierr);
3320     ierr = MatMPIBAIJSetPreallocation(*A,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
3321   } else {
3322     ierr = MatSetType(*A,MATSEQBAIJ);CHKERRQ(ierr);
3323     ierr = MatSeqBAIJSetPreallocation(*A,bs,d_nz,d_nnz);CHKERRQ(ierr);
3324   }
3325   PetscFunctionReturn(0);
3326 }
3327 
3328 static PetscErrorCode MatDuplicate_MPIBAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
3329 {
3330   Mat            mat;
3331   Mat_MPIBAIJ    *a,*oldmat = (Mat_MPIBAIJ*)matin->data;
3332   PetscErrorCode ierr;
3333   PetscInt       len=0;
3334 
3335   PetscFunctionBegin;
3336   *newmat = 0;
3337   ierr    = MatCreate(PetscObjectComm((PetscObject)matin),&mat);CHKERRQ(ierr);
3338   ierr    = MatSetSizes(mat,matin->rmap->n,matin->cmap->n,matin->rmap->N,matin->cmap->N);CHKERRQ(ierr);
3339   ierr    = MatSetType(mat,((PetscObject)matin)->type_name);CHKERRQ(ierr);
3340   ierr    = PetscMemcpy(mat->ops,matin->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
3341 
3342   mat->factortype   = matin->factortype;
3343   mat->preallocated = PETSC_TRUE;
3344   mat->assembled    = PETSC_TRUE;
3345   mat->insertmode   = NOT_SET_VALUES;
3346 
3347   a             = (Mat_MPIBAIJ*)mat->data;
3348   mat->rmap->bs = matin->rmap->bs;
3349   a->bs2        = oldmat->bs2;
3350   a->mbs        = oldmat->mbs;
3351   a->nbs        = oldmat->nbs;
3352   a->Mbs        = oldmat->Mbs;
3353   a->Nbs        = oldmat->Nbs;
3354 
3355   ierr = PetscLayoutReference(matin->rmap,&mat->rmap);CHKERRQ(ierr);
3356   ierr = PetscLayoutReference(matin->cmap,&mat->cmap);CHKERRQ(ierr);
3357 
3358   a->size         = oldmat->size;
3359   a->rank         = oldmat->rank;
3360   a->donotstash   = oldmat->donotstash;
3361   a->roworiented  = oldmat->roworiented;
3362   a->rowindices   = 0;
3363   a->rowvalues    = 0;
3364   a->getrowactive = PETSC_FALSE;
3365   a->barray       = 0;
3366   a->rstartbs     = oldmat->rstartbs;
3367   a->rendbs       = oldmat->rendbs;
3368   a->cstartbs     = oldmat->cstartbs;
3369   a->cendbs       = oldmat->cendbs;
3370 
3371   /* hash table stuff */
3372   a->ht           = 0;
3373   a->hd           = 0;
3374   a->ht_size      = 0;
3375   a->ht_flag      = oldmat->ht_flag;
3376   a->ht_fact      = oldmat->ht_fact;
3377   a->ht_total_ct  = 0;
3378   a->ht_insert_ct = 0;
3379 
3380   ierr = PetscMemcpy(a->rangebs,oldmat->rangebs,(a->size+1)*sizeof(PetscInt));CHKERRQ(ierr);
3381   if (oldmat->colmap) {
3382 #if defined(PETSC_USE_CTABLE)
3383     ierr = PetscTableCreateCopy(oldmat->colmap,&a->colmap);CHKERRQ(ierr);
3384 #else
3385     ierr = PetscMalloc1(a->Nbs,&a->colmap);CHKERRQ(ierr);
3386     ierr = PetscLogObjectMemory((PetscObject)mat,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
3387     ierr = PetscMemcpy(a->colmap,oldmat->colmap,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
3388 #endif
3389   } else a->colmap = 0;
3390 
3391   if (oldmat->garray && (len = ((Mat_SeqBAIJ*)(oldmat->B->data))->nbs)) {
3392     ierr = PetscMalloc1(len,&a->garray);CHKERRQ(ierr);
3393     ierr = PetscLogObjectMemory((PetscObject)mat,len*sizeof(PetscInt));CHKERRQ(ierr);
3394     ierr = PetscMemcpy(a->garray,oldmat->garray,len*sizeof(PetscInt));CHKERRQ(ierr);
3395   } else a->garray = 0;
3396 
3397   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)matin),matin->rmap->bs,&mat->bstash);CHKERRQ(ierr);
3398   ierr = VecDuplicate(oldmat->lvec,&a->lvec);CHKERRQ(ierr);
3399   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->lvec);CHKERRQ(ierr);
3400   ierr = VecScatterCopy(oldmat->Mvctx,&a->Mvctx);CHKERRQ(ierr);
3401   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->Mvctx);CHKERRQ(ierr);
3402 
3403   ierr    = MatDuplicate(oldmat->A,cpvalues,&a->A);CHKERRQ(ierr);
3404   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->A);CHKERRQ(ierr);
3405   ierr    = MatDuplicate(oldmat->B,cpvalues,&a->B);CHKERRQ(ierr);
3406   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->B);CHKERRQ(ierr);
3407   ierr    = PetscFunctionListDuplicate(((PetscObject)matin)->qlist,&((PetscObject)mat)->qlist);CHKERRQ(ierr);
3408   *newmat = mat;
3409   PetscFunctionReturn(0);
3410 }
3411 
3412 PetscErrorCode MatLoad_MPIBAIJ(Mat newmat,PetscViewer viewer)
3413 {
3414   PetscErrorCode ierr;
3415   int            fd;
3416   PetscInt       i,nz,j,rstart,rend;
3417   PetscScalar    *vals,*buf;
3418   MPI_Comm       comm;
3419   MPI_Status     status;
3420   PetscMPIInt    rank,size,maxnz;
3421   PetscInt       header[4],*rowlengths = 0,M,N,m,*rowners,*cols;
3422   PetscInt       *locrowlens = NULL,*procsnz = NULL,*browners = NULL;
3423   PetscInt       jj,*mycols,*ibuf,bs = newmat->rmap->bs,Mbs,mbs,extra_rows,mmax;
3424   PetscMPIInt    tag    = ((PetscObject)viewer)->tag;
3425   PetscInt       *dlens = NULL,*odlens = NULL,*mask = NULL,*masked1 = NULL,*masked2 = NULL,rowcount,odcount;
3426   PetscInt       dcount,kmax,k,nzcount,tmp,mend;
3427 
3428   PetscFunctionBegin;
3429   /* force binary viewer to load .info file if it has not yet done so */
3430   ierr = PetscViewerSetUp(viewer);CHKERRQ(ierr);
3431   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
3432   ierr = PetscOptionsBegin(comm,NULL,"Options for loading MPIBAIJ matrix 2","Mat");CHKERRQ(ierr);
3433   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
3434   ierr = PetscOptionsEnd();CHKERRQ(ierr);
3435   if (bs < 0) bs = 1;
3436 
3437   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3438   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
3439   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
3440   if (!rank) {
3441     ierr = PetscBinaryRead(fd,(char*)header,4,PETSC_INT);CHKERRQ(ierr);
3442     if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
3443     if (header[3] < 0) SETERRQ(PetscObjectComm((PetscObject)newmat),PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk, cannot load as MPIAIJ");
3444   }
3445   ierr = MPI_Bcast(header+1,3,MPIU_INT,0,comm);CHKERRQ(ierr);
3446   M    = header[1]; N = header[2];
3447 
3448   /* If global sizes are set, check if they are consistent with that given in the file */
3449   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);
3450   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);
3451 
3452   if (M != N) SETERRQ(PetscObjectComm((PetscObject)viewer),PETSC_ERR_SUP,"Can only do square matrices");
3453 
3454   /*
3455      This code adds extra rows to make sure the number of rows is
3456      divisible by the blocksize
3457   */
3458   Mbs        = M/bs;
3459   extra_rows = bs - M + bs*Mbs;
3460   if (extra_rows == bs) extra_rows = 0;
3461   else                  Mbs++;
3462   if (extra_rows && !rank) {
3463     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
3464   }
3465 
3466   /* determine ownership of all rows */
3467   if (newmat->rmap->n < 0) { /* PETSC_DECIDE */
3468     mbs = Mbs/size + ((Mbs % size) > rank);
3469     m   = mbs*bs;
3470   } else { /* User set */
3471     m   = newmat->rmap->n;
3472     mbs = m/bs;
3473   }
3474   ierr = PetscMalloc2(size+1,&rowners,size+1,&browners);CHKERRQ(ierr);
3475   ierr = MPI_Allgather(&mbs,1,MPIU_INT,rowners+1,1,MPIU_INT,comm);CHKERRQ(ierr);
3476 
3477   /* process 0 needs enough room for process with most rows */
3478   if (!rank) {
3479     mmax = rowners[1];
3480     for (i=2; i<=size; i++) {
3481       mmax = PetscMax(mmax,rowners[i]);
3482     }
3483     mmax*=bs;
3484   } else mmax = -1;             /* unused, but compiler warns anyway */
3485 
3486   rowners[0] = 0;
3487   for (i=2; i<=size; i++) rowners[i] += rowners[i-1];
3488   for (i=0; i<=size; i++) browners[i] = rowners[i]*bs;
3489   rstart = rowners[rank];
3490   rend   = rowners[rank+1];
3491 
3492   /* distribute row lengths to all processors */
3493   ierr = PetscMalloc1(m,&locrowlens);CHKERRQ(ierr);
3494   if (!rank) {
3495     mend = m;
3496     if (size == 1) mend = mend - extra_rows;
3497     ierr = PetscBinaryRead(fd,locrowlens,mend,PETSC_INT);CHKERRQ(ierr);
3498     for (j=mend; j<m; j++) locrowlens[j] = 1;
3499     ierr = PetscMalloc1(mmax,&rowlengths);CHKERRQ(ierr);
3500     ierr = PetscCalloc1(size,&procsnz);CHKERRQ(ierr);
3501     for (j=0; j<m; j++) {
3502       procsnz[0] += locrowlens[j];
3503     }
3504     for (i=1; i<size; i++) {
3505       mend = browners[i+1] - browners[i];
3506       if (i == size-1) mend = mend - extra_rows;
3507       ierr = PetscBinaryRead(fd,rowlengths,mend,PETSC_INT);CHKERRQ(ierr);
3508       for (j=mend; j<browners[i+1] - browners[i]; j++) rowlengths[j] = 1;
3509       /* calculate the number of nonzeros on each processor */
3510       for (j=0; j<browners[i+1]-browners[i]; j++) {
3511         procsnz[i] += rowlengths[j];
3512       }
3513       ierr = MPI_Send(rowlengths,browners[i+1]-browners[i],MPIU_INT,i,tag,comm);CHKERRQ(ierr);
3514     }
3515     ierr = PetscFree(rowlengths);CHKERRQ(ierr);
3516   } else {
3517     ierr = MPI_Recv(locrowlens,m,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
3518   }
3519 
3520   if (!rank) {
3521     /* determine max buffer needed and allocate it */
3522     maxnz = procsnz[0];
3523     for (i=1; i<size; i++) {
3524       maxnz = PetscMax(maxnz,procsnz[i]);
3525     }
3526     ierr = PetscMalloc1(maxnz,&cols);CHKERRQ(ierr);
3527 
3528     /* read in my part of the matrix column indices  */
3529     nz     = procsnz[0];
3530     ierr   = PetscMalloc1(nz+1,&ibuf);CHKERRQ(ierr);
3531     mycols = ibuf;
3532     if (size == 1) nz -= extra_rows;
3533     ierr = PetscBinaryRead(fd,mycols,nz,PETSC_INT);CHKERRQ(ierr);
3534     if (size == 1) {
3535       for (i=0; i< extra_rows; i++) mycols[nz+i] = M+i;
3536     }
3537 
3538     /* read in every ones (except the last) and ship off */
3539     for (i=1; i<size-1; i++) {
3540       nz   = procsnz[i];
3541       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
3542       ierr = MPI_Send(cols,nz,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
3543     }
3544     /* read in the stuff for the last proc */
3545     if (size != 1) {
3546       nz   = procsnz[size-1] - extra_rows;  /* the extra rows are not on the disk */
3547       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
3548       for (i=0; i<extra_rows; i++) cols[nz+i] = M+i;
3549       ierr = MPI_Send(cols,nz+extra_rows,MPIU_INT,size-1,tag,comm);CHKERRQ(ierr);
3550     }
3551     ierr = PetscFree(cols);CHKERRQ(ierr);
3552   } else {
3553     /* determine buffer space needed for message */
3554     nz = 0;
3555     for (i=0; i<m; i++) {
3556       nz += locrowlens[i];
3557     }
3558     ierr   = PetscMalloc1(nz+1,&ibuf);CHKERRQ(ierr);
3559     mycols = ibuf;
3560     /* receive message of column indices*/
3561     ierr = MPI_Recv(mycols,nz,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
3562     ierr = MPI_Get_count(&status,MPIU_INT,&maxnz);CHKERRQ(ierr);
3563     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
3564   }
3565 
3566   /* loop over local rows, determining number of off diagonal entries */
3567   ierr     = PetscMalloc2(rend-rstart,&dlens,rend-rstart,&odlens);CHKERRQ(ierr);
3568   ierr     = PetscCalloc3(Mbs,&mask,Mbs,&masked1,Mbs,&masked2);CHKERRQ(ierr);
3569   rowcount = 0; nzcount = 0;
3570   for (i=0; i<mbs; i++) {
3571     dcount  = 0;
3572     odcount = 0;
3573     for (j=0; j<bs; j++) {
3574       kmax = locrowlens[rowcount];
3575       for (k=0; k<kmax; k++) {
3576         tmp = mycols[nzcount++]/bs;
3577         if (!mask[tmp]) {
3578           mask[tmp] = 1;
3579           if (tmp < rstart || tmp >= rend) masked2[odcount++] = tmp;
3580           else masked1[dcount++] = tmp;
3581         }
3582       }
3583       rowcount++;
3584     }
3585 
3586     dlens[i]  = dcount;
3587     odlens[i] = odcount;
3588 
3589     /* zero out the mask elements we set */
3590     for (j=0; j<dcount; j++) mask[masked1[j]] = 0;
3591     for (j=0; j<odcount; j++) mask[masked2[j]] = 0;
3592   }
3593 
3594   ierr = MatSetSizes(newmat,m,m,M+extra_rows,N+extra_rows);CHKERRQ(ierr);
3595   ierr = MatMPIBAIJSetPreallocation(newmat,bs,0,dlens,0,odlens);CHKERRQ(ierr);
3596 
3597   if (!rank) {
3598     ierr = PetscMalloc1(maxnz+1,&buf);CHKERRQ(ierr);
3599     /* read in my part of the matrix numerical values  */
3600     nz     = procsnz[0];
3601     vals   = buf;
3602     mycols = ibuf;
3603     if (size == 1) nz -= extra_rows;
3604     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3605     if (size == 1) {
3606       for (i=0; i< extra_rows; i++) vals[nz+i] = 1.0;
3607     }
3608 
3609     /* insert into matrix */
3610     jj = rstart*bs;
3611     for (i=0; i<m; i++) {
3612       ierr    = MatSetValues_MPIBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
3613       mycols += locrowlens[i];
3614       vals   += locrowlens[i];
3615       jj++;
3616     }
3617     /* read in other processors (except the last one) and ship out */
3618     for (i=1; i<size-1; i++) {
3619       nz   = procsnz[i];
3620       vals = buf;
3621       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3622       ierr = MPIULong_Send(vals,nz,MPIU_SCALAR,i,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
3623     }
3624     /* the last proc */
3625     if (size != 1) {
3626       nz   = procsnz[i] - extra_rows;
3627       vals = buf;
3628       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3629       for (i=0; i<extra_rows; i++) vals[nz+i] = 1.0;
3630       ierr = MPIULong_Send(vals,nz+extra_rows,MPIU_SCALAR,size-1,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
3631     }
3632     ierr = PetscFree(procsnz);CHKERRQ(ierr);
3633   } else {
3634     /* receive numeric values */
3635     ierr = PetscMalloc1(nz+1,&buf);CHKERRQ(ierr);
3636 
3637     /* receive message of values*/
3638     vals   = buf;
3639     mycols = ibuf;
3640     ierr   = MPIULong_Recv(vals,nz,MPIU_SCALAR,0,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
3641 
3642     /* insert into matrix */
3643     jj = rstart*bs;
3644     for (i=0; i<m; i++) {
3645       ierr    = MatSetValues_MPIBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
3646       mycols += locrowlens[i];
3647       vals   += locrowlens[i];
3648       jj++;
3649     }
3650   }
3651   ierr = PetscFree(locrowlens);CHKERRQ(ierr);
3652   ierr = PetscFree(buf);CHKERRQ(ierr);
3653   ierr = PetscFree(ibuf);CHKERRQ(ierr);
3654   ierr = PetscFree2(rowners,browners);CHKERRQ(ierr);
3655   ierr = PetscFree2(dlens,odlens);CHKERRQ(ierr);
3656   ierr = PetscFree3(mask,masked1,masked2);CHKERRQ(ierr);
3657   ierr = MatAssemblyBegin(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3658   ierr = MatAssemblyEnd(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3659   PetscFunctionReturn(0);
3660 }
3661 
3662 /*@
3663    MatMPIBAIJSetHashTableFactor - Sets the factor required to compute the size of the HashTable.
3664 
3665    Input Parameters:
3666 .  mat  - the matrix
3667 .  fact - factor
3668 
3669    Not Collective, each process can use a different factor
3670 
3671    Level: advanced
3672 
3673   Notes:
3674    This can also be set by the command line option: -mat_use_hash_table <fact>
3675 
3676 .keywords: matrix, hashtable, factor, HT
3677 
3678 .seealso: MatSetOption()
3679 @*/
3680 PetscErrorCode  MatMPIBAIJSetHashTableFactor(Mat mat,PetscReal fact)
3681 {
3682   PetscErrorCode ierr;
3683 
3684   PetscFunctionBegin;
3685   ierr = PetscTryMethod(mat,"MatSetHashTableFactor_C",(Mat,PetscReal),(mat,fact));CHKERRQ(ierr);
3686   PetscFunctionReturn(0);
3687 }
3688 
3689 PetscErrorCode  MatSetHashTableFactor_MPIBAIJ(Mat mat,PetscReal fact)
3690 {
3691   Mat_MPIBAIJ *baij;
3692 
3693   PetscFunctionBegin;
3694   baij          = (Mat_MPIBAIJ*)mat->data;
3695   baij->ht_fact = fact;
3696   PetscFunctionReturn(0);
3697 }
3698 
3699 PetscErrorCode  MatMPIBAIJGetSeqBAIJ(Mat A,Mat *Ad,Mat *Ao,const PetscInt *colmap[])
3700 {
3701   Mat_MPIBAIJ *a = (Mat_MPIBAIJ*)A->data;
3702 
3703   PetscFunctionBegin;
3704   if (Ad)     *Ad     = a->A;
3705   if (Ao)     *Ao     = a->B;
3706   if (colmap) *colmap = a->garray;
3707   PetscFunctionReturn(0);
3708 }
3709 
3710 /*
3711     Special version for direct calls from Fortran (to eliminate two function call overheads
3712 */
3713 #if defined(PETSC_HAVE_FORTRAN_CAPS)
3714 #define matmpibaijsetvaluesblocked_ MATMPIBAIJSETVALUESBLOCKED
3715 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
3716 #define matmpibaijsetvaluesblocked_ matmpibaijsetvaluesblocked
3717 #endif
3718 
3719 /*@C
3720   MatMPIBAIJSetValuesBlocked - Direct Fortran call to replace call to MatSetValuesBlocked()
3721 
3722   Collective on Mat
3723 
3724   Input Parameters:
3725 + mat - the matrix
3726 . min - number of input rows
3727 . im - input rows
3728 . nin - number of input columns
3729 . in - input columns
3730 . v - numerical values input
3731 - addvin - INSERT_VALUES or ADD_VALUES
3732 
3733   Notes: This has a complete copy of MatSetValuesBlocked_MPIBAIJ() which is terrible code un-reuse.
3734 
3735   Level: advanced
3736 
3737 .seealso:   MatSetValuesBlocked()
3738 @*/
3739 PetscErrorCode matmpibaijsetvaluesblocked_(Mat *matin,PetscInt *min,const PetscInt im[],PetscInt *nin,const PetscInt in[],const MatScalar v[],InsertMode *addvin)
3740 {
3741   /* convert input arguments to C version */
3742   Mat        mat  = *matin;
3743   PetscInt   m    = *min, n = *nin;
3744   InsertMode addv = *addvin;
3745 
3746   Mat_MPIBAIJ     *baij = (Mat_MPIBAIJ*)mat->data;
3747   const MatScalar *value;
3748   MatScalar       *barray     = baij->barray;
3749   PetscBool       roworiented = baij->roworiented;
3750   PetscErrorCode  ierr;
3751   PetscInt        i,j,ii,jj,row,col,rstart=baij->rstartbs;
3752   PetscInt        rend=baij->rendbs,cstart=baij->cstartbs,stepval;
3753   PetscInt        cend=baij->cendbs,bs=mat->rmap->bs,bs2=baij->bs2;
3754 
3755   PetscFunctionBegin;
3756   /* tasks normally handled by MatSetValuesBlocked() */
3757   if (mat->insertmode == NOT_SET_VALUES) mat->insertmode = addv;
3758 #if defined(PETSC_USE_DEBUG)
3759   else if (mat->insertmode != addv) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
3760   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3761 #endif
3762   if (mat->assembled) {
3763     mat->was_assembled = PETSC_TRUE;
3764     mat->assembled     = PETSC_FALSE;
3765   }
3766   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
3767 
3768 
3769   if (!barray) {
3770     ierr         = PetscMalloc1(bs2,&barray);CHKERRQ(ierr);
3771     baij->barray = barray;
3772   }
3773 
3774   if (roworiented) stepval = (n-1)*bs;
3775   else stepval = (m-1)*bs;
3776 
3777   for (i=0; i<m; i++) {
3778     if (im[i] < 0) continue;
3779 #if defined(PETSC_USE_DEBUG)
3780     if (im[i] >= baij->Mbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large, row %D max %D",im[i],baij->Mbs-1);
3781 #endif
3782     if (im[i] >= rstart && im[i] < rend) {
3783       row = im[i] - rstart;
3784       for (j=0; j<n; j++) {
3785         /* If NumCol = 1 then a copy is not required */
3786         if ((roworiented) && (n == 1)) {
3787           barray = (MatScalar*)v + i*bs2;
3788         } else if ((!roworiented) && (m == 1)) {
3789           barray = (MatScalar*)v + j*bs2;
3790         } else { /* Here a copy is required */
3791           if (roworiented) {
3792             value = v + i*(stepval+bs)*bs + j*bs;
3793           } else {
3794             value = v + j*(stepval+bs)*bs + i*bs;
3795           }
3796           for (ii=0; ii<bs; ii++,value+=stepval) {
3797             for (jj=0; jj<bs; jj++) {
3798               *barray++ = *value++;
3799             }
3800           }
3801           barray -=bs2;
3802         }
3803 
3804         if (in[j] >= cstart && in[j] < cend) {
3805           col  = in[j] - cstart;
3806           ierr = MatSetValuesBlocked_SeqBAIJ_Inlined(baij->A,row,col,barray,addv,im[i],in[j]);CHKERRQ(ierr);
3807         } else if (in[j] < 0) continue;
3808 #if defined(PETSC_USE_DEBUG)
3809         else if (in[j] >= baij->Nbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large, col %D max %D",in[j],baij->Nbs-1);
3810 #endif
3811         else {
3812           if (mat->was_assembled) {
3813             if (!baij->colmap) {
3814               ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
3815             }
3816 
3817 #if defined(PETSC_USE_DEBUG)
3818 #if defined(PETSC_USE_CTABLE)
3819             { PetscInt data;
3820               ierr = PetscTableFind(baij->colmap,in[j]+1,&data);CHKERRQ(ierr);
3821               if ((data - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
3822             }
3823 #else
3824             if ((baij->colmap[in[j]] - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
3825 #endif
3826 #endif
3827 #if defined(PETSC_USE_CTABLE)
3828             ierr = PetscTableFind(baij->colmap,in[j]+1,&col);CHKERRQ(ierr);
3829             col  = (col - 1)/bs;
3830 #else
3831             col = (baij->colmap[in[j]] - 1)/bs;
3832 #endif
3833             if (col < 0 && !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
3834               ierr = MatDisAssemble_MPIBAIJ(mat);CHKERRQ(ierr);
3835               col  =  in[j];
3836             }
3837           } else col = in[j];
3838           ierr = MatSetValuesBlocked_SeqBAIJ_Inlined(baij->B,row,col,barray,addv,im[i],in[j]);CHKERRQ(ierr);
3839         }
3840       }
3841     } else {
3842       if (!baij->donotstash) {
3843         if (roworiented) {
3844           ierr = MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
3845         } else {
3846           ierr = MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
3847         }
3848       }
3849     }
3850   }
3851 
3852   /* task normally handled by MatSetValuesBlocked() */
3853   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
3854   PetscFunctionReturn(0);
3855 }
3856 
3857 /*@
3858      MatCreateMPIBAIJWithArrays - creates a MPI BAIJ matrix using arrays that contain in standard
3859          CSR format the local rows.
3860 
3861    Collective on MPI_Comm
3862 
3863    Input Parameters:
3864 +  comm - MPI communicator
3865 .  bs - the block size, only a block size of 1 is supported
3866 .  m - number of local rows (Cannot be PETSC_DECIDE)
3867 .  n - This value should be the same as the local size used in creating the
3868        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
3869        calculated if N is given) For square matrices n is almost always m.
3870 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
3871 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
3872 .   i - row indices
3873 .   j - column indices
3874 -   a - matrix values
3875 
3876    Output Parameter:
3877 .   mat - the matrix
3878 
3879    Level: intermediate
3880 
3881    Notes:
3882        The i, j, and a arrays ARE copied by this routine into the internal format used by PETSc;
3883      thus you CANNOT change the matrix entries by changing the values of a[] after you have
3884      called this routine. Use MatCreateMPIAIJWithSplitArrays() to avoid needing to copy the arrays.
3885 
3886      The order of the entries in values is the same as the block compressed sparse row storage format; that is, it is
3887      the same as a three dimensional array in Fortran values(bs,bs,nnz) that contains the first column of the first
3888      block, followed by the second column of the first block etc etc.  That is, the blocks are contiguous in memory
3889      with column-major ordering within blocks.
3890 
3891        The i and j indices are 0 based, and i indices are indices corresponding to the local j array.
3892 
3893 .keywords: matrix, aij, compressed row, sparse, parallel
3894 
3895 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
3896           MPIAIJ, MatCreateAIJ(), MatCreateMPIAIJWithSplitArrays()
3897 @*/
3898 PetscErrorCode  MatCreateMPIBAIJWithArrays(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt i[],const PetscInt j[],const PetscScalar a[],Mat *mat)
3899 {
3900   PetscErrorCode ierr;
3901 
3902   PetscFunctionBegin;
3903   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
3904   if (m < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"local number of rows (m) cannot be PETSC_DECIDE, or negative");
3905   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
3906   ierr = MatSetSizes(*mat,m,n,M,N);CHKERRQ(ierr);
3907   ierr = MatSetType(*mat,MATMPIBAIJ);CHKERRQ(ierr);
3908   ierr = MatSetBlockSize(*mat,bs);CHKERRQ(ierr);
3909   ierr = MatSetUp(*mat);CHKERRQ(ierr);
3910   ierr = MatSetOption(*mat,MAT_ROW_ORIENTED,PETSC_FALSE);CHKERRQ(ierr);
3911   ierr = MatMPIBAIJSetPreallocationCSR(*mat,bs,i,j,a);CHKERRQ(ierr);
3912   ierr = MatSetOption(*mat,MAT_ROW_ORIENTED,PETSC_TRUE);CHKERRQ(ierr);
3913   PetscFunctionReturn(0);
3914 }
3915 
3916 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_MPIBAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
3917 {
3918   PetscErrorCode ierr;
3919   PetscInt       m,N,i,rstart,nnz,Ii,bs,cbs;
3920   PetscInt       *indx;
3921   PetscScalar    *values;
3922 
3923   PetscFunctionBegin;
3924   ierr = MatGetSize(inmat,&m,&N);CHKERRQ(ierr);
3925   if (scall == MAT_INITIAL_MATRIX) { /* symbolic phase */
3926     Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)inmat->data;
3927     PetscInt       *dnz,*onz,mbs,Nbs,nbs;
3928     PetscInt       *bindx,rmax=a->rmax,j;
3929     PetscMPIInt    rank,size;
3930 
3931     ierr = MatGetBlockSizes(inmat,&bs,&cbs);CHKERRQ(ierr);
3932     mbs = m/bs; Nbs = N/cbs;
3933     if (n == PETSC_DECIDE) {
3934       nbs  = n;
3935       ierr = PetscSplitOwnership(comm,&nbs,&Nbs);CHKERRQ(ierr);
3936       n    = nbs*cbs;
3937     } else {
3938       nbs = n/cbs;
3939     }
3940 
3941     ierr = PetscMalloc1(rmax,&bindx);CHKERRQ(ierr);
3942     ierr = MatPreallocateInitialize(comm,mbs,nbs,dnz,onz);CHKERRQ(ierr); /* inline function, output __end and __rstart are used below */
3943 
3944     ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
3945     ierr = MPI_Comm_rank(comm,&size);CHKERRQ(ierr);
3946     if (rank == size-1) {
3947       /* Check sum(nbs) = Nbs */
3948       if (__end != Nbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Sum of local block columns %D != global block columns %D",__end,Nbs);
3949     }
3950 
3951     rstart = __rstart; /* block rstart of *outmat; see inline function MatPreallocateInitialize */
3952     for (i=0; i<mbs; i++) {
3953       ierr = MatGetRow_SeqBAIJ(inmat,i*bs,&nnz,&indx,NULL);CHKERRQ(ierr); /* non-blocked nnz and indx */
3954       nnz = nnz/bs;
3955       for (j=0; j<nnz; j++) bindx[j] = indx[j*bs]/bs;
3956       ierr = MatPreallocateSet(i+rstart,nnz,bindx,dnz,onz);CHKERRQ(ierr);
3957       ierr = MatRestoreRow_SeqBAIJ(inmat,i*bs,&nnz,&indx,NULL);CHKERRQ(ierr);
3958     }
3959     ierr = PetscFree(bindx);CHKERRQ(ierr);
3960 
3961     ierr = MatCreate(comm,outmat);CHKERRQ(ierr);
3962     ierr = MatSetSizes(*outmat,m,n,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
3963     ierr = MatSetBlockSizes(*outmat,bs,cbs);CHKERRQ(ierr);
3964     ierr = MatSetType(*outmat,MATBAIJ);CHKERRQ(ierr);
3965     ierr = MatSeqBAIJSetPreallocation(*outmat,bs,0,dnz);CHKERRQ(ierr);
3966     ierr = MatMPIBAIJSetPreallocation(*outmat,bs,0,dnz,0,onz);CHKERRQ(ierr);
3967     ierr = MatPreallocateFinalize(dnz,onz);CHKERRQ(ierr);
3968   }
3969 
3970   /* numeric phase */
3971   ierr = MatGetBlockSizes(inmat,&bs,&cbs);CHKERRQ(ierr);
3972   ierr = MatGetOwnershipRange(*outmat,&rstart,NULL);CHKERRQ(ierr);
3973 
3974   for (i=0; i<m; i++) {
3975     ierr = MatGetRow_SeqBAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
3976     Ii   = i + rstart;
3977     ierr = MatSetValues(*outmat,1,&Ii,nnz,indx,values,INSERT_VALUES);CHKERRQ(ierr);
3978     ierr = MatRestoreRow_SeqBAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
3979   }
3980   ierr = MatAssemblyBegin(*outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3981   ierr = MatAssemblyEnd(*outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3982   PetscFunctionReturn(0);
3983 }
3984