xref: /petsc/src/mat/impls/sbaij/mpi/mpisbaij.c (revision 3828b36c431c6cda7a239488ef03e1d9cafd3e97)
1 
2 #include <../src/mat/impls/baij/mpi/mpibaij.h>    /*I "petscmat.h" I*/
3 #include <../src/mat/impls/sbaij/mpi/mpisbaij.h>
4 #include <../src/mat/impls/sbaij/seq/sbaij.h>
5 #include <petscblaslapack.h>
6 
7 #if defined(PETSC_HAVE_ELEMENTAL)
8 PETSC_EXTERN PetscErrorCode MatConvert_MPISBAIJ_Elemental(Mat,MatType,MatReuse,Mat*);
9 #endif
10 #undef __FUNCT__
11 #define __FUNCT__ "MatStoreValues_MPISBAIJ"
12 PetscErrorCode  MatStoreValues_MPISBAIJ(Mat mat)
13 {
14   Mat_MPISBAIJ   *aij = (Mat_MPISBAIJ*)mat->data;
15   PetscErrorCode ierr;
16 
17   PetscFunctionBegin;
18   ierr = MatStoreValues(aij->A);CHKERRQ(ierr);
19   ierr = MatStoreValues(aij->B);CHKERRQ(ierr);
20   PetscFunctionReturn(0);
21 }
22 
23 #undef __FUNCT__
24 #define __FUNCT__ "MatRetrieveValues_MPISBAIJ"
25 PetscErrorCode  MatRetrieveValues_MPISBAIJ(Mat mat)
26 {
27   Mat_MPISBAIJ   *aij = (Mat_MPISBAIJ*)mat->data;
28   PetscErrorCode ierr;
29 
30   PetscFunctionBegin;
31   ierr = MatRetrieveValues(aij->A);CHKERRQ(ierr);
32   ierr = MatRetrieveValues(aij->B);CHKERRQ(ierr);
33   PetscFunctionReturn(0);
34 }
35 
36 #define  MatSetValues_SeqSBAIJ_A_Private(row,col,value,addv,orow,ocol)      \
37   { \
38  \
39     brow = row/bs;  \
40     rp   = aj + ai[brow]; ap = aa + bs2*ai[brow]; \
41     rmax = aimax[brow]; nrow = ailen[brow]; \
42     bcol = col/bs; \
43     ridx = row % bs; cidx = col % bs; \
44     low  = 0; high = nrow; \
45     while (high-low > 3) { \
46       t = (low+high)/2; \
47       if (rp[t] > bcol) high = t; \
48       else              low  = t; \
49     } \
50     for (_i=low; _i<high; _i++) { \
51       if (rp[_i] > bcol) break; \
52       if (rp[_i] == bcol) { \
53         bap = ap + bs2*_i + bs*cidx + ridx; \
54         if (addv == ADD_VALUES) *bap += value;  \
55         else                    *bap  = value;  \
56         goto a_noinsert; \
57       } \
58     } \
59     if (a->nonew == 1) goto a_noinsert; \
60     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); \
61     MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,aimax,a->nonew,MatScalar); \
62     N = nrow++ - 1;  \
63     /* shift up all the later entries in this row */ \
64     for (ii=N; ii>=_i; ii--) { \
65       rp[ii+1] = rp[ii]; \
66       ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
67     } \
68     if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr); }  \
69     rp[_i]                      = bcol;  \
70     ap[bs2*_i + bs*cidx + ridx] = value;  \
71     A->nonzerostate++;\
72 a_noinsert:; \
73     ailen[brow] = nrow; \
74   }
75 
76 #define  MatSetValues_SeqSBAIJ_B_Private(row,col,value,addv,orow,ocol) \
77   { \
78     brow = row/bs;  \
79     rp   = bj + bi[brow]; ap = ba + bs2*bi[brow]; \
80     rmax = bimax[brow]; nrow = bilen[brow]; \
81     bcol = col/bs; \
82     ridx = row % bs; cidx = col % bs; \
83     low  = 0; high = nrow; \
84     while (high-low > 3) { \
85       t = (low+high)/2; \
86       if (rp[t] > bcol) high = t; \
87       else              low  = t; \
88     } \
89     for (_i=low; _i<high; _i++) { \
90       if (rp[_i] > bcol) break; \
91       if (rp[_i] == bcol) { \
92         bap = ap + bs2*_i + bs*cidx + ridx; \
93         if (addv == ADD_VALUES) *bap += value;  \
94         else                    *bap  = value;  \
95         goto b_noinsert; \
96       } \
97     } \
98     if (b->nonew == 1) goto b_noinsert; \
99     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); \
100     MatSeqXAIJReallocateAIJ(B,b->mbs,bs2,nrow,brow,bcol,rmax,ba,bi,bj,rp,ap,bimax,b->nonew,MatScalar); \
101     N = nrow++ - 1;  \
102     /* shift up all the later entries in this row */ \
103     for (ii=N; ii>=_i; ii--) { \
104       rp[ii+1] = rp[ii]; \
105       ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
106     } \
107     if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr);}  \
108     rp[_i]                      = bcol;  \
109     ap[bs2*_i + bs*cidx + ridx] = value;  \
110     B->nonzerostate++;\
111 b_noinsert:; \
112     bilen[brow] = nrow; \
113   }
114 
115 /* Only add/insert a(i,j) with i<=j (blocks).
116    Any a(i,j) with i>j input by user is ingored.
117 */
118 #undef __FUNCT__
119 #define __FUNCT__ "MatSetValues_MPISBAIJ"
120 PetscErrorCode MatSetValues_MPISBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
121 {
122   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
123   MatScalar      value;
124   PetscBool      roworiented = baij->roworiented;
125   PetscErrorCode ierr;
126   PetscInt       i,j,row,col;
127   PetscInt       rstart_orig=mat->rmap->rstart;
128   PetscInt       rend_orig  =mat->rmap->rend,cstart_orig=mat->cmap->rstart;
129   PetscInt       cend_orig  =mat->cmap->rend,bs=mat->rmap->bs;
130 
131   /* Some Variables required in the macro */
132   Mat          A     = baij->A;
133   Mat_SeqSBAIJ *a    = (Mat_SeqSBAIJ*)(A)->data;
134   PetscInt     *aimax=a->imax,*ai=a->i,*ailen=a->ilen,*aj=a->j;
135   MatScalar    *aa   =a->a;
136 
137   Mat         B     = baij->B;
138   Mat_SeqBAIJ *b    = (Mat_SeqBAIJ*)(B)->data;
139   PetscInt    *bimax=b->imax,*bi=b->i,*bilen=b->ilen,*bj=b->j;
140   MatScalar   *ba   =b->a;
141 
142   PetscInt  *rp,ii,nrow,_i,rmax,N,brow,bcol;
143   PetscInt  low,high,t,ridx,cidx,bs2=a->bs2;
144   MatScalar *ap,*bap;
145 
146   /* for stash */
147   PetscInt  n_loc, *in_loc = NULL;
148   MatScalar *v_loc = NULL;
149 
150   PetscFunctionBegin;
151   if (!baij->donotstash) {
152     if (n > baij->n_loc) {
153       ierr = PetscFree(baij->in_loc);CHKERRQ(ierr);
154       ierr = PetscFree(baij->v_loc);CHKERRQ(ierr);
155       ierr = PetscMalloc1(n,&baij->in_loc);CHKERRQ(ierr);
156       ierr = PetscMalloc1(n,&baij->v_loc);CHKERRQ(ierr);
157 
158       baij->n_loc = n;
159     }
160     in_loc = baij->in_loc;
161     v_loc  = baij->v_loc;
162   }
163 
164   for (i=0; i<m; i++) {
165     if (im[i] < 0) continue;
166 #if defined(PETSC_USE_DEBUG)
167     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);
168 #endif
169     if (im[i] >= rstart_orig && im[i] < rend_orig) { /* this processor entry */
170       row = im[i] - rstart_orig;              /* local row index */
171       for (j=0; j<n; j++) {
172         if (im[i]/bs > in[j]/bs) {
173           if (a->ignore_ltriangular) {
174             continue;    /* ignore lower triangular blocks */
175           } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"Lower triangular value cannot be set for sbaij format. Ignoring these values, run with -mat_ignore_lower_triangular or call MatSetOption(mat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE)");
176         }
177         if (in[j] >= cstart_orig && in[j] < cend_orig) {  /* diag entry (A) */
178           col  = in[j] - cstart_orig;         /* local col index */
179           brow = row/bs; bcol = col/bs;
180           if (brow > bcol) continue;  /* ignore lower triangular blocks of A */
181           if (roworiented) value = v[i*n+j];
182           else             value = v[i+j*m];
183           MatSetValues_SeqSBAIJ_A_Private(row,col,value,addv,im[i],in[j]);
184           /* ierr = MatSetValues_SeqBAIJ(baij->A,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
185         } else if (in[j] < 0) continue;
186 #if defined(PETSC_USE_DEBUG)
187         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);
188 #endif
189         else {  /* off-diag entry (B) */
190           if (mat->was_assembled) {
191             if (!baij->colmap) {
192               ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
193             }
194 #if defined(PETSC_USE_CTABLE)
195             ierr = PetscTableFind(baij->colmap,in[j]/bs + 1,&col);CHKERRQ(ierr);
196             col  = col - 1;
197 #else
198             col = baij->colmap[in[j]/bs] - 1;
199 #endif
200             if (col < 0 && !((Mat_SeqSBAIJ*)(baij->A->data))->nonew) {
201               ierr = MatDisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
202               col  =  in[j];
203               /* Reinitialize the variables required by MatSetValues_SeqBAIJ_B_Private() */
204               B    = baij->B;
205               b    = (Mat_SeqBAIJ*)(B)->data;
206               bimax= b->imax;bi=b->i;bilen=b->ilen;bj=b->j;
207               ba   = b->a;
208             } else col += in[j]%bs;
209           } else col = in[j];
210           if (roworiented) value = v[i*n+j];
211           else             value = v[i+j*m];
212           MatSetValues_SeqSBAIJ_B_Private(row,col,value,addv,im[i],in[j]);
213           /* ierr = MatSetValues_SeqBAIJ(baij->B,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
214         }
215       }
216     } else {  /* off processor entry */
217       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]);
218       if (!baij->donotstash) {
219         mat->assembled = PETSC_FALSE;
220         n_loc          = 0;
221         for (j=0; j<n; j++) {
222           if (im[i]/bs > in[j]/bs) continue; /* ignore lower triangular blocks */
223           in_loc[n_loc] = in[j];
224           if (roworiented) {
225             v_loc[n_loc] = v[i*n+j];
226           } else {
227             v_loc[n_loc] = v[j*m+i];
228           }
229           n_loc++;
230         }
231         ierr = MatStashValuesRow_Private(&mat->stash,im[i],n_loc,in_loc,v_loc,PETSC_FALSE);CHKERRQ(ierr);
232       }
233     }
234   }
235   PetscFunctionReturn(0);
236 }
237 
238 #undef __FUNCT__
239 #define __FUNCT__ "MatSetValuesBlocked_SeqSBAIJ_Inlined"
240 PETSC_STATIC_INLINE PetscErrorCode MatSetValuesBlocked_SeqSBAIJ_Inlined(Mat A,PetscInt row,PetscInt col,const PetscScalar v[],InsertMode is,PetscInt orow,PetscInt ocol)
241 {
242   Mat_SeqSBAIJ      *a = (Mat_SeqSBAIJ*)A->data;
243   PetscErrorCode    ierr;
244   PetscInt          *rp,low,high,t,ii,jj,nrow,i,rmax,N;
245   PetscInt          *imax      =a->imax,*ai=a->i,*ailen=a->ilen;
246   PetscInt          *aj        =a->j,nonew=a->nonew,bs2=a->bs2,bs=A->rmap->bs;
247   PetscBool         roworiented=a->roworiented;
248   const PetscScalar *value     = v;
249   MatScalar         *ap,*aa = a->a,*bap;
250 
251   PetscFunctionBegin;
252   if (col < row) {
253     if (a->ignore_ltriangular) PetscFunctionReturn(0); /* ignore lower triangular block */
254     else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"Lower triangular value cannot be set for sbaij format. Ignoring these values, run with -mat_ignore_lower_triangular or call MatSetOption(mat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE)");
255   }
256   rp   = aj + ai[row];
257   ap   = aa + bs2*ai[row];
258   rmax = imax[row];
259   nrow = ailen[row];
260   value = v;
261   low   = 0;
262   high  = nrow;
263 
264   while (high-low > 7) {
265     t = (low+high)/2;
266     if (rp[t] > col) high = t;
267     else             low  = t;
268   }
269   for (i=low; i<high; i++) {
270     if (rp[i] > col) break;
271     if (rp[i] == col) {
272       bap = ap +  bs2*i;
273       if (roworiented) {
274         if (is == ADD_VALUES) {
275           for (ii=0; ii<bs; ii++) {
276             for (jj=ii; jj<bs2; jj+=bs) {
277               bap[jj] += *value++;
278             }
279           }
280         } else {
281           for (ii=0; ii<bs; ii++) {
282             for (jj=ii; jj<bs2; jj+=bs) {
283               bap[jj] = *value++;
284             }
285           }
286         }
287       } else {
288         if (is == ADD_VALUES) {
289           for (ii=0; ii<bs; ii++) {
290             for (jj=0; jj<bs; jj++) {
291               *bap++ += *value++;
292             }
293           }
294         } else {
295           for (ii=0; ii<bs; ii++) {
296             for (jj=0; jj<bs; jj++) {
297               *bap++  = *value++;
298             }
299           }
300         }
301       }
302       goto noinsert2;
303     }
304   }
305   if (nonew == 1) goto noinsert2;
306   if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new block index nonzero block (%D, %D) in the matrix", orow, ocol);
307   MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
308   N = nrow++ - 1; high++;
309   /* shift up all the later entries in this row */
310   for (ii=N; ii>=i; ii--) {
311     rp[ii+1] = rp[ii];
312     ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
313   }
314   if (N >= i) {
315     ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
316   }
317   rp[i] = col;
318   bap   = ap +  bs2*i;
319   if (roworiented) {
320     for (ii=0; ii<bs; ii++) {
321       for (jj=ii; jj<bs2; jj+=bs) {
322         bap[jj] = *value++;
323       }
324     }
325   } else {
326     for (ii=0; ii<bs; ii++) {
327       for (jj=0; jj<bs; jj++) {
328         *bap++ = *value++;
329       }
330     }
331   }
332   noinsert2:;
333   ailen[row] = nrow;
334   PetscFunctionReturn(0);
335 }
336 
337 #undef __FUNCT__
338 #define __FUNCT__ "MatSetValuesBlocked_SeqBAIJ_Inlined"
339 /*
340    This routine is exactly duplicated in mpibaij.c
341 */
342 PETSC_STATIC_INLINE PetscErrorCode MatSetValuesBlocked_SeqBAIJ_Inlined(Mat A,PetscInt row,PetscInt col,const PetscScalar v[],InsertMode is,PetscInt orow,PetscInt ocol)
343 {
344   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
345   PetscInt          *rp,low,high,t,ii,jj,nrow,i,rmax,N;
346   PetscInt          *imax=a->imax,*ai=a->i,*ailen=a->ilen;
347   PetscErrorCode    ierr;
348   PetscInt          *aj        =a->j,nonew=a->nonew,bs2=a->bs2,bs=A->rmap->bs;
349   PetscBool         roworiented=a->roworiented;
350   const PetscScalar *value     = v;
351   MatScalar         *ap,*aa = a->a,*bap;
352 
353   PetscFunctionBegin;
354   rp   = aj + ai[row];
355   ap   = aa + bs2*ai[row];
356   rmax = imax[row];
357   nrow = ailen[row];
358   low  = 0;
359   high = nrow;
360   value = v;
361   while (high-low > 7) {
362     t = (low+high)/2;
363     if (rp[t] > col) high = t;
364     else             low  = t;
365   }
366   for (i=low; i<high; i++) {
367     if (rp[i] > col) break;
368     if (rp[i] == col) {
369       bap = ap +  bs2*i;
370       if (roworiented) {
371         if (is == ADD_VALUES) {
372           for (ii=0; ii<bs; ii++) {
373             for (jj=ii; jj<bs2; jj+=bs) {
374               bap[jj] += *value++;
375             }
376           }
377         } else {
378           for (ii=0; ii<bs; ii++) {
379             for (jj=ii; jj<bs2; jj+=bs) {
380               bap[jj] = *value++;
381             }
382           }
383         }
384       } else {
385         if (is == ADD_VALUES) {
386           for (ii=0; ii<bs; ii++,value+=bs) {
387             for (jj=0; jj<bs; jj++) {
388               bap[jj] += value[jj];
389             }
390             bap += bs;
391           }
392         } else {
393           for (ii=0; ii<bs; ii++,value+=bs) {
394             for (jj=0; jj<bs; jj++) {
395               bap[jj]  = value[jj];
396             }
397             bap += bs;
398           }
399         }
400       }
401       goto noinsert2;
402     }
403   }
404   if (nonew == 1) goto noinsert2;
405   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);
406   MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
407   N = nrow++ - 1; high++;
408   /* shift up all the later entries in this row */
409   for (ii=N; ii>=i; ii--) {
410     rp[ii+1] = rp[ii];
411     ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
412   }
413   if (N >= i) {
414     ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
415   }
416   rp[i] = col;
417   bap   = ap +  bs2*i;
418   if (roworiented) {
419     for (ii=0; ii<bs; ii++) {
420       for (jj=ii; jj<bs2; jj+=bs) {
421         bap[jj] = *value++;
422       }
423     }
424   } else {
425     for (ii=0; ii<bs; ii++) {
426       for (jj=0; jj<bs; jj++) {
427         *bap++ = *value++;
428       }
429     }
430   }
431   noinsert2:;
432   ailen[row] = nrow;
433   PetscFunctionReturn(0);
434 }
435 
436 #undef __FUNCT__
437 #define __FUNCT__ "MatSetValuesBlocked_MPISBAIJ"
438 /*
439     This routine could be optimized by removing the need for the block copy below and passing stride information
440   to the above inline routines; similarly in MatSetValuesBlocked_MPIBAIJ()
441 */
442 PetscErrorCode MatSetValuesBlocked_MPISBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const MatScalar v[],InsertMode addv)
443 {
444   Mat_MPISBAIJ    *baij = (Mat_MPISBAIJ*)mat->data;
445   const MatScalar *value;
446   MatScalar       *barray     =baij->barray;
447   PetscBool       roworiented = baij->roworiented,ignore_ltriangular = ((Mat_SeqSBAIJ*)baij->A->data)->ignore_ltriangular;
448   PetscErrorCode  ierr;
449   PetscInt        i,j,ii,jj,row,col,rstart=baij->rstartbs;
450   PetscInt        rend=baij->rendbs,cstart=baij->rstartbs,stepval;
451   PetscInt        cend=baij->rendbs,bs=mat->rmap->bs,bs2=baij->bs2;
452 
453   PetscFunctionBegin;
454   if (!barray) {
455     ierr         = PetscMalloc1(bs2,&barray);CHKERRQ(ierr);
456     baij->barray = barray;
457   }
458 
459   if (roworiented) {
460     stepval = (n-1)*bs;
461   } else {
462     stepval = (m-1)*bs;
463   }
464   for (i=0; i<m; i++) {
465     if (im[i] < 0) continue;
466 #if defined(PETSC_USE_DEBUG)
467     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);
468 #endif
469     if (im[i] >= rstart && im[i] < rend) {
470       row = im[i] - rstart;
471       for (j=0; j<n; j++) {
472         if (im[i] > in[j]) {
473           if (ignore_ltriangular) continue; /* ignore lower triangular blocks */
474           else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"Lower triangular value cannot be set for sbaij format. Ignoring these values, run with -mat_ignore_lower_triangular or call MatSetOption(mat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE)");
475         }
476         /* If NumCol = 1 then a copy is not required */
477         if ((roworiented) && (n == 1)) {
478           barray = (MatScalar*) v + i*bs2;
479         } else if ((!roworiented) && (m == 1)) {
480           barray = (MatScalar*) v + j*bs2;
481         } else { /* Here a copy is required */
482           if (roworiented) {
483             value = v + i*(stepval+bs)*bs + j*bs;
484           } else {
485             value = v + j*(stepval+bs)*bs + i*bs;
486           }
487           for (ii=0; ii<bs; ii++,value+=stepval) {
488             for (jj=0; jj<bs; jj++) {
489               *barray++ = *value++;
490             }
491           }
492           barray -=bs2;
493         }
494 
495         if (in[j] >= cstart && in[j] < cend) {
496           col  = in[j] - cstart;
497           ierr = MatSetValuesBlocked_SeqSBAIJ_Inlined(baij->A,row,col,barray,addv,im[i],in[j]);CHKERRQ(ierr);
498         } else if (in[j] < 0) continue;
499 #if defined(PETSC_USE_DEBUG)
500         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);
501 #endif
502         else {
503           if (mat->was_assembled) {
504             if (!baij->colmap) {
505               ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
506             }
507 
508 #if defined(PETSC_USE_DEBUG)
509 #if defined(PETSC_USE_CTABLE)
510             { PetscInt data;
511               ierr = PetscTableFind(baij->colmap,in[j]+1,&data);CHKERRQ(ierr);
512               if ((data - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
513             }
514 #else
515             if ((baij->colmap[in[j]] - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
516 #endif
517 #endif
518 #if defined(PETSC_USE_CTABLE)
519             ierr = PetscTableFind(baij->colmap,in[j]+1,&col);CHKERRQ(ierr);
520             col  = (col - 1)/bs;
521 #else
522             col = (baij->colmap[in[j]] - 1)/bs;
523 #endif
524             if (col < 0 && !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
525               ierr = MatDisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
526               col  = in[j];
527             }
528           } else col = in[j];
529           ierr = MatSetValuesBlocked_SeqBAIJ_Inlined(baij->B,row,col,barray,addv,im[i],in[j]);CHKERRQ(ierr);
530         }
531       }
532     } else {
533       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]);
534       if (!baij->donotstash) {
535         if (roworiented) {
536           ierr = MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
537         } else {
538           ierr = MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
539         }
540       }
541     }
542   }
543   PetscFunctionReturn(0);
544 }
545 
546 #undef __FUNCT__
547 #define __FUNCT__ "MatGetValues_MPISBAIJ"
548 PetscErrorCode MatGetValues_MPISBAIJ(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],PetscScalar v[])
549 {
550   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
551   PetscErrorCode ierr;
552   PetscInt       bs       = mat->rmap->bs,i,j,bsrstart = mat->rmap->rstart,bsrend = mat->rmap->rend;
553   PetscInt       bscstart = mat->cmap->rstart,bscend = mat->cmap->rend,row,col,data;
554 
555   PetscFunctionBegin;
556   for (i=0; i<m; i++) {
557     if (idxm[i] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",idxm[i]); */
558     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);
559     if (idxm[i] >= bsrstart && idxm[i] < bsrend) {
560       row = idxm[i] - bsrstart;
561       for (j=0; j<n; j++) {
562         if (idxn[j] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column %D",idxn[j]); */
563         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);
564         if (idxn[j] >= bscstart && idxn[j] < bscend) {
565           col  = idxn[j] - bscstart;
566           ierr = MatGetValues_SeqSBAIJ(baij->A,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
567         } else {
568           if (!baij->colmap) {
569             ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
570           }
571 #if defined(PETSC_USE_CTABLE)
572           ierr = PetscTableFind(baij->colmap,idxn[j]/bs+1,&data);CHKERRQ(ierr);
573           data--;
574 #else
575           data = baij->colmap[idxn[j]/bs]-1;
576 #endif
577           if ((data < 0) || (baij->garray[data/bs] != idxn[j]/bs)) *(v+i*n+j) = 0.0;
578           else {
579             col  = data + idxn[j]%bs;
580             ierr = MatGetValues_SeqBAIJ(baij->B,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
581           }
582         }
583       }
584     } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local values currently supported");
585   }
586   PetscFunctionReturn(0);
587 }
588 
589 #undef __FUNCT__
590 #define __FUNCT__ "MatNorm_MPISBAIJ"
591 PetscErrorCode MatNorm_MPISBAIJ(Mat mat,NormType type,PetscReal *norm)
592 {
593   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
594   PetscErrorCode ierr;
595   PetscReal      sum[2],*lnorm2;
596 
597   PetscFunctionBegin;
598   if (baij->size == 1) {
599     ierr =  MatNorm(baij->A,type,norm);CHKERRQ(ierr);
600   } else {
601     if (type == NORM_FROBENIUS) {
602       ierr    = PetscMalloc1(2,&lnorm2);CHKERRQ(ierr);
603       ierr    =  MatNorm(baij->A,type,lnorm2);CHKERRQ(ierr);
604       *lnorm2 = (*lnorm2)*(*lnorm2); lnorm2++;            /* squar power of norm(A) */
605       ierr    =  MatNorm(baij->B,type,lnorm2);CHKERRQ(ierr);
606       *lnorm2 = (*lnorm2)*(*lnorm2); lnorm2--;             /* squar power of norm(B) */
607       ierr    = MPI_Allreduce(lnorm2,sum,2,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
608       *norm   = PetscSqrtReal(sum[0] + 2*sum[1]);
609       ierr    = PetscFree(lnorm2);CHKERRQ(ierr);
610     } else if (type == NORM_INFINITY || type == NORM_1) { /* max row/column sum */
611       Mat_SeqSBAIJ *amat=(Mat_SeqSBAIJ*)baij->A->data;
612       Mat_SeqBAIJ  *bmat=(Mat_SeqBAIJ*)baij->B->data;
613       PetscReal    *rsum,*rsum2,vabs;
614       PetscInt     *jj,*garray=baij->garray,rstart=baij->rstartbs,nz;
615       PetscInt     brow,bcol,col,bs=baij->A->rmap->bs,row,grow,gcol,mbs=amat->mbs;
616       MatScalar    *v;
617 
618       ierr = PetscMalloc2(mat->cmap->N,&rsum,mat->cmap->N,&rsum2);CHKERRQ(ierr);
619       ierr = PetscMemzero(rsum,mat->cmap->N*sizeof(PetscReal));CHKERRQ(ierr);
620       /* Amat */
621       v = amat->a; jj = amat->j;
622       for (brow=0; brow<mbs; brow++) {
623         grow = bs*(rstart + brow);
624         nz   = amat->i[brow+1] - amat->i[brow];
625         for (bcol=0; bcol<nz; bcol++) {
626           gcol = bs*(rstart + *jj); jj++;
627           for (col=0; col<bs; col++) {
628             for (row=0; row<bs; row++) {
629               vabs            = PetscAbsScalar(*v); v++;
630               rsum[gcol+col] += vabs;
631               /* non-diagonal block */
632               if (bcol > 0 && vabs > 0.0) rsum[grow+row] += vabs;
633             }
634           }
635         }
636       }
637       /* Bmat */
638       v = bmat->a; jj = bmat->j;
639       for (brow=0; brow<mbs; brow++) {
640         grow = bs*(rstart + brow);
641         nz = bmat->i[brow+1] - bmat->i[brow];
642         for (bcol=0; bcol<nz; bcol++) {
643           gcol = bs*garray[*jj]; jj++;
644           for (col=0; col<bs; col++) {
645             for (row=0; row<bs; row++) {
646               vabs            = PetscAbsScalar(*v); v++;
647               rsum[gcol+col] += vabs;
648               rsum[grow+row] += vabs;
649             }
650           }
651         }
652       }
653       ierr  = MPI_Allreduce(rsum,rsum2,mat->cmap->N,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
654       *norm = 0.0;
655       for (col=0; col<mat->cmap->N; col++) {
656         if (rsum2[col] > *norm) *norm = rsum2[col];
657       }
658       ierr = PetscFree2(rsum,rsum2);CHKERRQ(ierr);
659     } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for this norm yet");
660   }
661   PetscFunctionReturn(0);
662 }
663 
664 #undef __FUNCT__
665 #define __FUNCT__ "MatAssemblyBegin_MPISBAIJ"
666 PetscErrorCode MatAssemblyBegin_MPISBAIJ(Mat mat,MatAssemblyType mode)
667 {
668   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
669   PetscErrorCode ierr;
670   PetscInt       nstash,reallocs;
671   InsertMode     addv;
672 
673   PetscFunctionBegin;
674   if (baij->donotstash || mat->nooffprocentries) PetscFunctionReturn(0);
675 
676   /* make sure all processors are either in INSERTMODE or ADDMODE */
677   ierr = MPI_Allreduce((PetscEnum*)&mat->insertmode,(PetscEnum*)&addv,1,MPIU_ENUM,MPI_BOR,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
678   if (addv == (ADD_VALUES|INSERT_VALUES)) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Some processors inserted others added");
679   mat->insertmode = addv; /* in case this processor had no cache */
680 
681   ierr = MatStashScatterBegin_Private(mat,&mat->stash,mat->rmap->range);CHKERRQ(ierr);
682   ierr = MatStashScatterBegin_Private(mat,&mat->bstash,baij->rangebs);CHKERRQ(ierr);
683   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
684   ierr = PetscInfo2(mat,"Stash has %D entries,uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
685   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
686   ierr = PetscInfo2(mat,"Block-Stash has %D entries, uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
687   PetscFunctionReturn(0);
688 }
689 
690 #undef __FUNCT__
691 #define __FUNCT__ "MatAssemblyEnd_MPISBAIJ"
692 PetscErrorCode MatAssemblyEnd_MPISBAIJ(Mat mat,MatAssemblyType mode)
693 {
694   Mat_MPISBAIJ   *baij=(Mat_MPISBAIJ*)mat->data;
695   Mat_SeqSBAIJ   *a   =(Mat_SeqSBAIJ*)baij->A->data;
696   PetscErrorCode ierr;
697   PetscInt       i,j,rstart,ncols,flg,bs2=baij->bs2;
698   PetscInt       *row,*col;
699   PetscBool      other_disassembled;
700   PetscMPIInt    n;
701   PetscBool      r1,r2,r3;
702   MatScalar      *val;
703   InsertMode     addv = mat->insertmode;
704 
705   /* do not use 'b=(Mat_SeqBAIJ*)baij->B->data' as B can be reset in disassembly */
706   PetscFunctionBegin;
707   if (!baij->donotstash &&  !mat->nooffprocentries) {
708     while (1) {
709       ierr = MatStashScatterGetMesg_Private(&mat->stash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
710       if (!flg) break;
711 
712       for (i=0; i<n;) {
713         /* Now identify the consecutive vals belonging to the same row */
714         for (j=i,rstart=row[j]; j<n; j++) {
715           if (row[j] != rstart) break;
716         }
717         if (j < n) ncols = j-i;
718         else       ncols = n-i;
719         /* Now assemble all these values with a single function call */
720         ierr = MatSetValues_MPISBAIJ(mat,1,row+i,ncols,col+i,val+i,addv);CHKERRQ(ierr);
721         i    = j;
722       }
723     }
724     ierr = MatStashScatterEnd_Private(&mat->stash);CHKERRQ(ierr);
725     /* Now process the block-stash. Since the values are stashed column-oriented,
726        set the roworiented flag to column oriented, and after MatSetValues()
727        restore the original flags */
728     r1 = baij->roworiented;
729     r2 = a->roworiented;
730     r3 = ((Mat_SeqBAIJ*)baij->B->data)->roworiented;
731 
732     baij->roworiented = PETSC_FALSE;
733     a->roworiented    = PETSC_FALSE;
734 
735     ((Mat_SeqBAIJ*)baij->B->data)->roworiented = PETSC_FALSE; /* b->roworinted */
736     while (1) {
737       ierr = MatStashScatterGetMesg_Private(&mat->bstash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
738       if (!flg) break;
739 
740       for (i=0; i<n;) {
741         /* Now identify the consecutive vals belonging to the same row */
742         for (j=i,rstart=row[j]; j<n; j++) {
743           if (row[j] != rstart) break;
744         }
745         if (j < n) ncols = j-i;
746         else       ncols = n-i;
747         ierr = MatSetValuesBlocked_MPISBAIJ(mat,1,row+i,ncols,col+i,val+i*bs2,addv);CHKERRQ(ierr);
748         i    = j;
749       }
750     }
751     ierr = MatStashScatterEnd_Private(&mat->bstash);CHKERRQ(ierr);
752 
753     baij->roworiented = r1;
754     a->roworiented    = r2;
755 
756     ((Mat_SeqBAIJ*)baij->B->data)->roworiented = r3; /* b->roworinted */
757   }
758 
759   ierr = MatAssemblyBegin(baij->A,mode);CHKERRQ(ierr);
760   ierr = MatAssemblyEnd(baij->A,mode);CHKERRQ(ierr);
761 
762   /* determine if any processor has disassembled, if so we must
763      also disassemble ourselfs, in order that we may reassemble. */
764   /*
765      if nonzero structure of submatrix B cannot change then we know that
766      no processor disassembled thus we can skip this stuff
767   */
768   if (!((Mat_SeqBAIJ*)baij->B->data)->nonew) {
769     ierr = MPI_Allreduce(&mat->was_assembled,&other_disassembled,1,MPIU_BOOL,MPI_PROD,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
770     if (mat->was_assembled && !other_disassembled) {
771       ierr = MatDisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
772     }
773   }
774 
775   if (!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) {
776     ierr = MatSetUpMultiply_MPISBAIJ(mat);CHKERRQ(ierr); /* setup Mvctx and sMvctx */
777   }
778   ierr = MatAssemblyBegin(baij->B,mode);CHKERRQ(ierr);
779   ierr = MatAssemblyEnd(baij->B,mode);CHKERRQ(ierr);
780 
781   ierr = PetscFree2(baij->rowvalues,baij->rowindices);CHKERRQ(ierr);
782 
783   baij->rowvalues = 0;
784 
785   /* if no new nonzero locations are allowed in matrix then only set the matrix state the first time through */
786   if ((!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) || !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
787     PetscObjectState state = baij->A->nonzerostate + baij->B->nonzerostate;
788     ierr = MPI_Allreduce(&state,&mat->nonzerostate,1,MPIU_INT64,MPI_SUM,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
789   }
790   PetscFunctionReturn(0);
791 }
792 
793 extern PetscErrorCode MatView_SeqSBAIJ_ASCII(Mat,PetscViewer);
794 extern PetscErrorCode MatSetValues_MPIBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
795 #include <petscdraw.h>
796 #undef __FUNCT__
797 #define __FUNCT__ "MatView_MPISBAIJ_ASCIIorDraworSocket"
798 static PetscErrorCode MatView_MPISBAIJ_ASCIIorDraworSocket(Mat mat,PetscViewer viewer)
799 {
800   Mat_MPISBAIJ      *baij = (Mat_MPISBAIJ*)mat->data;
801   PetscErrorCode    ierr;
802   PetscInt          bs   = mat->rmap->bs;
803   PetscMPIInt       rank = baij->rank;
804   PetscBool         iascii,isdraw;
805   PetscViewer       sviewer;
806   PetscViewerFormat format;
807 
808   PetscFunctionBegin;
809   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
810   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
811   if (iascii) {
812     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
813     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
814       MatInfo info;
815       ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)mat),&rank);CHKERRQ(ierr);
816       ierr = MatGetInfo(mat,MAT_LOCAL,&info);CHKERRQ(ierr);
817       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_TRUE);CHKERRQ(ierr);
818       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] Local rows %D nz %D nz alloced %D bs %D mem %D\n",rank,mat->rmap->n,(PetscInt)info.nz_used,(PetscInt)info.nz_allocated,mat->rmap->bs,(PetscInt)info.memory);CHKERRQ(ierr);
819       ierr = MatGetInfo(baij->A,MAT_LOCAL,&info);CHKERRQ(ierr);
820       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] on-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
821       ierr = MatGetInfo(baij->B,MAT_LOCAL,&info);CHKERRQ(ierr);
822       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] off-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
823       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
824       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_FALSE);CHKERRQ(ierr);
825       ierr = PetscViewerASCIIPrintf(viewer,"Information on VecScatter used in matrix-vector product: \n");CHKERRQ(ierr);
826       ierr = VecScatterView(baij->Mvctx,viewer);CHKERRQ(ierr);
827       PetscFunctionReturn(0);
828     } else if (format == PETSC_VIEWER_ASCII_INFO) {
829       ierr = PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);CHKERRQ(ierr);
830       PetscFunctionReturn(0);
831     } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
832       PetscFunctionReturn(0);
833     }
834   }
835 
836   if (isdraw) {
837     PetscDraw draw;
838     PetscBool isnull;
839     ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
840     ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
841   }
842 
843   {
844     /* assemble the entire matrix onto first processor. */
845     Mat          A;
846     Mat_SeqSBAIJ *Aloc;
847     Mat_SeqBAIJ  *Bloc;
848     PetscInt     M = mat->rmap->N,N = mat->cmap->N,*ai,*aj,col,i,j,k,*rvals,mbs = baij->mbs;
849     MatScalar    *a;
850     const char   *matname;
851 
852     /* Should this be the same type as mat? */
853     ierr = MatCreate(PetscObjectComm((PetscObject)mat),&A);CHKERRQ(ierr);
854     if (!rank) {
855       ierr = MatSetSizes(A,M,N,M,N);CHKERRQ(ierr);
856     } else {
857       ierr = MatSetSizes(A,0,0,M,N);CHKERRQ(ierr);
858     }
859     ierr = MatSetType(A,MATMPISBAIJ);CHKERRQ(ierr);
860     ierr = MatMPISBAIJSetPreallocation(A,mat->rmap->bs,0,NULL,0,NULL);CHKERRQ(ierr);
861     ierr = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);
862     ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)A);CHKERRQ(ierr);
863 
864     /* copy over the A part */
865     Aloc = (Mat_SeqSBAIJ*)baij->A->data;
866     ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
867     ierr = PetscMalloc1(bs,&rvals);CHKERRQ(ierr);
868 
869     for (i=0; i<mbs; i++) {
870       rvals[0] = bs*(baij->rstartbs + i);
871       for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
872       for (j=ai[i]; j<ai[i+1]; j++) {
873         col = (baij->cstartbs+aj[j])*bs;
874         for (k=0; k<bs; k++) {
875           ierr = MatSetValues_MPISBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
876           col++;
877           a += bs;
878         }
879       }
880     }
881     /* copy over the B part */
882     Bloc = (Mat_SeqBAIJ*)baij->B->data;
883     ai   = Bloc->i; aj = Bloc->j; a = Bloc->a;
884     for (i=0; i<mbs; i++) {
885 
886       rvals[0] = bs*(baij->rstartbs + i);
887       for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
888       for (j=ai[i]; j<ai[i+1]; j++) {
889         col = baij->garray[aj[j]]*bs;
890         for (k=0; k<bs; k++) {
891           ierr = MatSetValues_MPIBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
892           col++;
893           a += bs;
894         }
895       }
896     }
897     ierr = PetscFree(rvals);CHKERRQ(ierr);
898     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
899     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
900     /*
901        Everyone has to call to draw the matrix since the graphics waits are
902        synchronized across all processors that share the PetscDraw object
903     */
904     ierr = PetscViewerGetSingleton(viewer,&sviewer);CHKERRQ(ierr);
905     ierr = PetscObjectGetName((PetscObject)mat,&matname);CHKERRQ(ierr);
906     if (!rank) {
907       ierr = PetscObjectSetName((PetscObject)((Mat_MPISBAIJ*)(A->data))->A,matname);CHKERRQ(ierr);
908       ierr = MatView_SeqSBAIJ_ASCII(((Mat_MPISBAIJ*)(A->data))->A,sviewer);CHKERRQ(ierr);
909     }
910     ierr = PetscViewerRestoreSingleton(viewer,&sviewer);CHKERRQ(ierr);
911     ierr = MatDestroy(&A);CHKERRQ(ierr);
912   }
913   PetscFunctionReturn(0);
914 }
915 
916 #undef __FUNCT__
917 #define __FUNCT__ "MatView_MPISBAIJ"
918 PetscErrorCode MatView_MPISBAIJ(Mat mat,PetscViewer viewer)
919 {
920   PetscErrorCode ierr;
921   PetscBool      iascii,isdraw,issocket,isbinary;
922 
923   PetscFunctionBegin;
924   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
925   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
926   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSOCKET,&issocket);CHKERRQ(ierr);
927   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
928   if (iascii || isdraw || issocket || isbinary) {
929     ierr = MatView_MPISBAIJ_ASCIIorDraworSocket(mat,viewer);CHKERRQ(ierr);
930   }
931   PetscFunctionReturn(0);
932 }
933 
934 #undef __FUNCT__
935 #define __FUNCT__ "MatDestroy_MPISBAIJ"
936 PetscErrorCode MatDestroy_MPISBAIJ(Mat mat)
937 {
938   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
939   PetscErrorCode ierr;
940 
941   PetscFunctionBegin;
942 #if defined(PETSC_USE_LOG)
943   PetscLogObjectState((PetscObject)mat,"Rows=%D,Cols=%D",mat->rmap->N,mat->cmap->N);
944 #endif
945   ierr = MatStashDestroy_Private(&mat->stash);CHKERRQ(ierr);
946   ierr = MatStashDestroy_Private(&mat->bstash);CHKERRQ(ierr);
947   ierr = MatDestroy(&baij->A);CHKERRQ(ierr);
948   ierr = MatDestroy(&baij->B);CHKERRQ(ierr);
949 #if defined(PETSC_USE_CTABLE)
950   ierr = PetscTableDestroy(&baij->colmap);CHKERRQ(ierr);
951 #else
952   ierr = PetscFree(baij->colmap);CHKERRQ(ierr);
953 #endif
954   ierr = PetscFree(baij->garray);CHKERRQ(ierr);
955   ierr = VecDestroy(&baij->lvec);CHKERRQ(ierr);
956   ierr = VecScatterDestroy(&baij->Mvctx);CHKERRQ(ierr);
957   ierr = VecDestroy(&baij->slvec0);CHKERRQ(ierr);
958   ierr = VecDestroy(&baij->slvec0b);CHKERRQ(ierr);
959   ierr = VecDestroy(&baij->slvec1);CHKERRQ(ierr);
960   ierr = VecDestroy(&baij->slvec1a);CHKERRQ(ierr);
961   ierr = VecDestroy(&baij->slvec1b);CHKERRQ(ierr);
962   ierr = VecScatterDestroy(&baij->sMvctx);CHKERRQ(ierr);
963   ierr = PetscFree2(baij->rowvalues,baij->rowindices);CHKERRQ(ierr);
964   ierr = PetscFree(baij->barray);CHKERRQ(ierr);
965   ierr = PetscFree(baij->hd);CHKERRQ(ierr);
966   ierr = VecDestroy(&baij->diag);CHKERRQ(ierr);
967   ierr = VecDestroy(&baij->bb1);CHKERRQ(ierr);
968   ierr = VecDestroy(&baij->xx1);CHKERRQ(ierr);
969 #if defined(PETSC_USE_REAL_MAT_SINGLE)
970   ierr = PetscFree(baij->setvaluescopy);CHKERRQ(ierr);
971 #endif
972   ierr = PetscFree(baij->in_loc);CHKERRQ(ierr);
973   ierr = PetscFree(baij->v_loc);CHKERRQ(ierr);
974   ierr = PetscFree(baij->rangebs);CHKERRQ(ierr);
975   ierr = PetscFree(mat->data);CHKERRQ(ierr);
976 
977   ierr = PetscObjectChangeTypeName((PetscObject)mat,0);CHKERRQ(ierr);
978   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatStoreValues_C",NULL);CHKERRQ(ierr);
979   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatRetrieveValues_C",NULL);CHKERRQ(ierr);
980   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatGetDiagonalBlock_C",NULL);CHKERRQ(ierr);
981   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatMPISBAIJSetPreallocation_C",NULL);CHKERRQ(ierr);
982   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpisbaij_mpisbstrm_C",NULL);CHKERRQ(ierr);
983 #if defined(PETSC_HAVE_ELEMENTAL)
984   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpisbaij_elemental_C",NULL);CHKERRQ(ierr);
985 #endif
986   PetscFunctionReturn(0);
987 }
988 
989 #undef __FUNCT__
990 #define __FUNCT__ "MatMult_MPISBAIJ_Hermitian"
991 PetscErrorCode MatMult_MPISBAIJ_Hermitian(Mat A,Vec xx,Vec yy)
992 {
993   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
994   PetscErrorCode ierr;
995   PetscInt       nt,mbs=a->mbs,bs=A->rmap->bs;
996   PetscScalar    *x,*from;
997 
998   PetscFunctionBegin;
999   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
1000   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
1001 
1002   /* diagonal part */
1003   ierr = (*a->A->ops->mult)(a->A,xx,a->slvec1a);CHKERRQ(ierr);
1004   ierr = VecSet(a->slvec1b,0.0);CHKERRQ(ierr);
1005 
1006   /* subdiagonal part */
1007   ierr = (*a->B->ops->multhermitiantranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
1008 
1009   /* copy x into the vec slvec0 */
1010   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
1011   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1012 
1013   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
1014   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
1015   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1016 
1017   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1018   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1019   /* supperdiagonal part */
1020   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,yy);CHKERRQ(ierr);
1021   PetscFunctionReturn(0);
1022 }
1023 
1024 #undef __FUNCT__
1025 #define __FUNCT__ "MatMult_MPISBAIJ"
1026 PetscErrorCode MatMult_MPISBAIJ(Mat A,Vec xx,Vec yy)
1027 {
1028   Mat_MPISBAIJ      *a = (Mat_MPISBAIJ*)A->data;
1029   PetscErrorCode    ierr;
1030   PetscInt          nt,mbs=a->mbs,bs=A->rmap->bs;
1031   PetscScalar       *from;
1032   const PetscScalar *x;
1033 
1034   PetscFunctionBegin;
1035   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
1036   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
1037 
1038   /* diagonal part */
1039   ierr = (*a->A->ops->mult)(a->A,xx,a->slvec1a);CHKERRQ(ierr);
1040   ierr = VecSet(a->slvec1b,0.0);CHKERRQ(ierr);
1041 
1042   /* subdiagonal part */
1043   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
1044 
1045   /* copy x into the vec slvec0 */
1046   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
1047   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1048 
1049   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
1050   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
1051   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1052 
1053   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1054   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1055   /* supperdiagonal part */
1056   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,yy);CHKERRQ(ierr);
1057   PetscFunctionReturn(0);
1058 }
1059 
1060 #undef __FUNCT__
1061 #define __FUNCT__ "MatMult_MPISBAIJ_2comm"
1062 PetscErrorCode MatMult_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy)
1063 {
1064   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1065   PetscErrorCode ierr;
1066   PetscInt       nt;
1067 
1068   PetscFunctionBegin;
1069   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
1070   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
1071 
1072   ierr = VecGetLocalSize(yy,&nt);CHKERRQ(ierr);
1073   if (nt != A->rmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible parition of A and yy");
1074 
1075   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1076   /* do diagonal part */
1077   ierr = (*a->A->ops->mult)(a->A,xx,yy);CHKERRQ(ierr);
1078   /* do supperdiagonal part */
1079   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1080   ierr = (*a->B->ops->multadd)(a->B,a->lvec,yy,yy);CHKERRQ(ierr);
1081   /* do subdiagonal part */
1082   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1083   ierr = VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1084   ierr = VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1085   PetscFunctionReturn(0);
1086 }
1087 
1088 #undef __FUNCT__
1089 #define __FUNCT__ "MatMultAdd_MPISBAIJ"
1090 PetscErrorCode MatMultAdd_MPISBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1091 {
1092   Mat_MPISBAIJ      *a = (Mat_MPISBAIJ*)A->data;
1093   PetscErrorCode    ierr;
1094   PetscInt          mbs=a->mbs,bs=A->rmap->bs;
1095   PetscScalar       *from,zero=0.0;
1096   const PetscScalar *x;
1097 
1098   PetscFunctionBegin;
1099   /*
1100   PetscSynchronizedPrintf(PetscObjectComm((PetscObject)A)," MatMultAdd is called ...\n");
1101   PetscSynchronizedFlush(PetscObjectComm((PetscObject)A),PETSC_STDOUT);
1102   */
1103   /* diagonal part */
1104   ierr = (*a->A->ops->multadd)(a->A,xx,yy,a->slvec1a);CHKERRQ(ierr);
1105   ierr = VecSet(a->slvec1b,zero);CHKERRQ(ierr);
1106 
1107   /* subdiagonal part */
1108   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
1109 
1110   /* copy x into the vec slvec0 */
1111   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
1112   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1113   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
1114   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
1115 
1116   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1117   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1118   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1119 
1120   /* supperdiagonal part */
1121   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,zz);CHKERRQ(ierr);
1122   PetscFunctionReturn(0);
1123 }
1124 
1125 #undef __FUNCT__
1126 #define __FUNCT__ "MatMultAdd_MPISBAIJ_2comm"
1127 PetscErrorCode MatMultAdd_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy,Vec zz)
1128 {
1129   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1130   PetscErrorCode ierr;
1131 
1132   PetscFunctionBegin;
1133   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1134   /* do diagonal part */
1135   ierr = (*a->A->ops->multadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
1136   /* do supperdiagonal part */
1137   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1138   ierr = (*a->B->ops->multadd)(a->B,a->lvec,zz,zz);CHKERRQ(ierr);
1139 
1140   /* do subdiagonal part */
1141   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1142   ierr = VecScatterBegin(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1143   ierr = VecScatterEnd(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1144   PetscFunctionReturn(0);
1145 }
1146 
1147 /*
1148   This only works correctly for square matrices where the subblock A->A is the
1149    diagonal block
1150 */
1151 #undef __FUNCT__
1152 #define __FUNCT__ "MatGetDiagonal_MPISBAIJ"
1153 PetscErrorCode MatGetDiagonal_MPISBAIJ(Mat A,Vec v)
1154 {
1155   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1156   PetscErrorCode ierr;
1157 
1158   PetscFunctionBegin;
1159   /* if (a->rmap->N != a->cmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Supports only square matrix where A->A is diag block"); */
1160   ierr = MatGetDiagonal(a->A,v);CHKERRQ(ierr);
1161   PetscFunctionReturn(0);
1162 }
1163 
1164 #undef __FUNCT__
1165 #define __FUNCT__ "MatScale_MPISBAIJ"
1166 PetscErrorCode MatScale_MPISBAIJ(Mat A,PetscScalar aa)
1167 {
1168   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1169   PetscErrorCode ierr;
1170 
1171   PetscFunctionBegin;
1172   ierr = MatScale(a->A,aa);CHKERRQ(ierr);
1173   ierr = MatScale(a->B,aa);CHKERRQ(ierr);
1174   PetscFunctionReturn(0);
1175 }
1176 
1177 #undef __FUNCT__
1178 #define __FUNCT__ "MatGetRow_MPISBAIJ"
1179 PetscErrorCode MatGetRow_MPISBAIJ(Mat matin,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1180 {
1181   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
1182   PetscScalar    *vworkA,*vworkB,**pvA,**pvB,*v_p;
1183   PetscErrorCode ierr;
1184   PetscInt       bs = matin->rmap->bs,bs2 = mat->bs2,i,*cworkA,*cworkB,**pcA,**pcB;
1185   PetscInt       nztot,nzA,nzB,lrow,brstart = matin->rmap->rstart,brend = matin->rmap->rend;
1186   PetscInt       *cmap,*idx_p,cstart = mat->rstartbs;
1187 
1188   PetscFunctionBegin;
1189   if (mat->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Already active");
1190   mat->getrowactive = PETSC_TRUE;
1191 
1192   if (!mat->rowvalues && (idx || v)) {
1193     /*
1194         allocate enough space to hold information from the longest row.
1195     */
1196     Mat_SeqSBAIJ *Aa = (Mat_SeqSBAIJ*)mat->A->data;
1197     Mat_SeqBAIJ  *Ba = (Mat_SeqBAIJ*)mat->B->data;
1198     PetscInt     max = 1,mbs = mat->mbs,tmp;
1199     for (i=0; i<mbs; i++) {
1200       tmp = Aa->i[i+1] - Aa->i[i] + Ba->i[i+1] - Ba->i[i]; /* row length */
1201       if (max < tmp) max = tmp;
1202     }
1203     ierr = PetscMalloc2(max*bs2,&mat->rowvalues,max*bs2,&mat->rowindices);CHKERRQ(ierr);
1204   }
1205 
1206   if (row < brstart || row >= brend) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local rows");
1207   lrow = row - brstart;  /* local row index */
1208 
1209   pvA = &vworkA; pcA = &cworkA; pvB = &vworkB; pcB = &cworkB;
1210   if (!v)   {pvA = 0; pvB = 0;}
1211   if (!idx) {pcA = 0; if (!v) pcB = 0;}
1212   ierr  = (*mat->A->ops->getrow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1213   ierr  = (*mat->B->ops->getrow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1214   nztot = nzA + nzB;
1215 
1216   cmap = mat->garray;
1217   if (v  || idx) {
1218     if (nztot) {
1219       /* Sort by increasing column numbers, assuming A and B already sorted */
1220       PetscInt imark = -1;
1221       if (v) {
1222         *v = v_p = mat->rowvalues;
1223         for (i=0; i<nzB; i++) {
1224           if (cmap[cworkB[i]/bs] < cstart) v_p[i] = vworkB[i];
1225           else break;
1226         }
1227         imark = i;
1228         for (i=0; i<nzA; i++)     v_p[imark+i] = vworkA[i];
1229         for (i=imark; i<nzB; i++) v_p[nzA+i]   = vworkB[i];
1230       }
1231       if (idx) {
1232         *idx = idx_p = mat->rowindices;
1233         if (imark > -1) {
1234           for (i=0; i<imark; i++) {
1235             idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1236           }
1237         } else {
1238           for (i=0; i<nzB; i++) {
1239             if (cmap[cworkB[i]/bs] < cstart) idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1240             else break;
1241           }
1242           imark = i;
1243         }
1244         for (i=0; i<nzA; i++)     idx_p[imark+i] = cstart*bs + cworkA[i];
1245         for (i=imark; i<nzB; i++) idx_p[nzA+i]   = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1246       }
1247     } else {
1248       if (idx) *idx = 0;
1249       if (v)   *v   = 0;
1250     }
1251   }
1252   *nz  = nztot;
1253   ierr = (*mat->A->ops->restorerow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1254   ierr = (*mat->B->ops->restorerow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1255   PetscFunctionReturn(0);
1256 }
1257 
1258 #undef __FUNCT__
1259 #define __FUNCT__ "MatRestoreRow_MPISBAIJ"
1260 PetscErrorCode MatRestoreRow_MPISBAIJ(Mat mat,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1261 {
1262   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
1263 
1264   PetscFunctionBegin;
1265   if (!baij->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"MatGetRow() must be called first");
1266   baij->getrowactive = PETSC_FALSE;
1267   PetscFunctionReturn(0);
1268 }
1269 
1270 #undef __FUNCT__
1271 #define __FUNCT__ "MatGetRowUpperTriangular_MPISBAIJ"
1272 PetscErrorCode MatGetRowUpperTriangular_MPISBAIJ(Mat A)
1273 {
1274   Mat_MPISBAIJ *a  = (Mat_MPISBAIJ*)A->data;
1275   Mat_SeqSBAIJ *aA = (Mat_SeqSBAIJ*)a->A->data;
1276 
1277   PetscFunctionBegin;
1278   aA->getrow_utriangular = PETSC_TRUE;
1279   PetscFunctionReturn(0);
1280 }
1281 #undef __FUNCT__
1282 #define __FUNCT__ "MatRestoreRowUpperTriangular_MPISBAIJ"
1283 PetscErrorCode MatRestoreRowUpperTriangular_MPISBAIJ(Mat A)
1284 {
1285   Mat_MPISBAIJ *a  = (Mat_MPISBAIJ*)A->data;
1286   Mat_SeqSBAIJ *aA = (Mat_SeqSBAIJ*)a->A->data;
1287 
1288   PetscFunctionBegin;
1289   aA->getrow_utriangular = PETSC_FALSE;
1290   PetscFunctionReturn(0);
1291 }
1292 
1293 #undef __FUNCT__
1294 #define __FUNCT__ "MatRealPart_MPISBAIJ"
1295 PetscErrorCode MatRealPart_MPISBAIJ(Mat A)
1296 {
1297   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1298   PetscErrorCode ierr;
1299 
1300   PetscFunctionBegin;
1301   ierr = MatRealPart(a->A);CHKERRQ(ierr);
1302   ierr = MatRealPart(a->B);CHKERRQ(ierr);
1303   PetscFunctionReturn(0);
1304 }
1305 
1306 #undef __FUNCT__
1307 #define __FUNCT__ "MatImaginaryPart_MPISBAIJ"
1308 PetscErrorCode MatImaginaryPart_MPISBAIJ(Mat A)
1309 {
1310   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1311   PetscErrorCode ierr;
1312 
1313   PetscFunctionBegin;
1314   ierr = MatImaginaryPart(a->A);CHKERRQ(ierr);
1315   ierr = MatImaginaryPart(a->B);CHKERRQ(ierr);
1316   PetscFunctionReturn(0);
1317 }
1318 
1319 /* Check if isrow is a subset of iscol_local, called by MatGetSubMatrix_MPISBAIJ()
1320    Input: isrow       - distributed(parallel),
1321           iscol_local - locally owned (seq)
1322 */
1323 #undef __FUNCT__
1324 #define __FUNCT__ "ISEqual_private"
1325 PetscErrorCode ISEqual_private(IS isrow,IS iscol_local,PetscBool  *flg)
1326 {
1327   PetscErrorCode ierr;
1328   PetscInt       sz1,sz2,*a1,*a2,i,j,k,nmatch;
1329   const PetscInt *ptr1,*ptr2;
1330 
1331   PetscFunctionBegin;
1332   ierr = ISGetLocalSize(isrow,&sz1);CHKERRQ(ierr);
1333   ierr = ISGetLocalSize(iscol_local,&sz2);CHKERRQ(ierr);
1334   if (sz1 > sz2) {
1335     *flg = PETSC_FALSE;
1336     PetscFunctionReturn(0);
1337   }
1338 
1339   ierr = ISGetIndices(isrow,&ptr1);CHKERRQ(ierr);
1340   ierr = ISGetIndices(iscol_local,&ptr2);CHKERRQ(ierr);
1341 
1342   ierr = PetscMalloc1(sz1,&a1);CHKERRQ(ierr);
1343   ierr = PetscMalloc1(sz2,&a2);CHKERRQ(ierr);
1344   ierr = PetscMemcpy(a1,ptr1,sz1*sizeof(PetscInt));CHKERRQ(ierr);
1345   ierr = PetscMemcpy(a2,ptr2,sz2*sizeof(PetscInt));CHKERRQ(ierr);
1346   ierr = PetscSortInt(sz1,a1);CHKERRQ(ierr);
1347   ierr = PetscSortInt(sz2,a2);CHKERRQ(ierr);
1348 
1349   nmatch=0;
1350   k     = 0;
1351   for (i=0; i<sz1; i++){
1352     for (j=k; j<sz2; j++){
1353       if (a1[i] == a2[j]) {
1354         k = j; nmatch++;
1355         break;
1356       }
1357     }
1358   }
1359   ierr = ISRestoreIndices(isrow,&ptr1);CHKERRQ(ierr);
1360   ierr = ISRestoreIndices(iscol_local,&ptr2);CHKERRQ(ierr);
1361   ierr = PetscFree(a1);CHKERRQ(ierr);
1362   ierr = PetscFree(a2);CHKERRQ(ierr);
1363   if (nmatch < sz1) {
1364     *flg = PETSC_FALSE;
1365   } else {
1366     *flg = PETSC_TRUE;
1367   }
1368   PetscFunctionReturn(0);
1369 }
1370 
1371 #undef __FUNCT__
1372 #define __FUNCT__ "MatGetSubMatrix_MPISBAIJ"
1373 PetscErrorCode MatGetSubMatrix_MPISBAIJ(Mat mat,IS isrow,IS iscol,MatReuse call,Mat *newmat)
1374 {
1375   PetscErrorCode ierr;
1376   IS             iscol_local;
1377   PetscInt       csize;
1378   PetscBool      isequal;
1379 
1380   PetscFunctionBegin;
1381   ierr = ISGetLocalSize(iscol,&csize);CHKERRQ(ierr);
1382   if (call == MAT_REUSE_MATRIX) {
1383     ierr = PetscObjectQuery((PetscObject)*newmat,"ISAllGather",(PetscObject*)&iscol_local);CHKERRQ(ierr);
1384     if (!iscol_local) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Submatrix passed in was not used before, cannot reuse");
1385   } else {
1386     ierr = ISAllGather(iscol,&iscol_local);CHKERRQ(ierr);
1387     ierr = ISEqual_private(isrow,iscol_local,&isequal);CHKERRQ(ierr);
1388     if (!isequal) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"For symmetric format, iscol must equal isrow");
1389   }
1390 
1391   /* now call MatGetSubMatrix_MPIBAIJ() */
1392   ierr = MatGetSubMatrix_MPIBAIJ_Private(mat,isrow,iscol_local,csize,call,newmat);CHKERRQ(ierr);
1393   if (call == MAT_INITIAL_MATRIX) {
1394     ierr = PetscObjectCompose((PetscObject)*newmat,"ISAllGather",(PetscObject)iscol_local);CHKERRQ(ierr);
1395     ierr = ISDestroy(&iscol_local);CHKERRQ(ierr);
1396   }
1397   PetscFunctionReturn(0);
1398 }
1399 
1400 #undef __FUNCT__
1401 #define __FUNCT__ "MatZeroEntries_MPISBAIJ"
1402 PetscErrorCode MatZeroEntries_MPISBAIJ(Mat A)
1403 {
1404   Mat_MPISBAIJ   *l = (Mat_MPISBAIJ*)A->data;
1405   PetscErrorCode ierr;
1406 
1407   PetscFunctionBegin;
1408   ierr = MatZeroEntries(l->A);CHKERRQ(ierr);
1409   ierr = MatZeroEntries(l->B);CHKERRQ(ierr);
1410   PetscFunctionReturn(0);
1411 }
1412 
1413 #undef __FUNCT__
1414 #define __FUNCT__ "MatGetInfo_MPISBAIJ"
1415 PetscErrorCode MatGetInfo_MPISBAIJ(Mat matin,MatInfoType flag,MatInfo *info)
1416 {
1417   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)matin->data;
1418   Mat            A  = a->A,B = a->B;
1419   PetscErrorCode ierr;
1420   PetscReal      isend[5],irecv[5];
1421 
1422   PetscFunctionBegin;
1423   info->block_size = (PetscReal)matin->rmap->bs;
1424 
1425   ierr = MatGetInfo(A,MAT_LOCAL,info);CHKERRQ(ierr);
1426 
1427   isend[0] = info->nz_used; isend[1] = info->nz_allocated; isend[2] = info->nz_unneeded;
1428   isend[3] = info->memory;  isend[4] = info->mallocs;
1429 
1430   ierr = MatGetInfo(B,MAT_LOCAL,info);CHKERRQ(ierr);
1431 
1432   isend[0] += info->nz_used; isend[1] += info->nz_allocated; isend[2] += info->nz_unneeded;
1433   isend[3] += info->memory;  isend[4] += info->mallocs;
1434   if (flag == MAT_LOCAL) {
1435     info->nz_used      = isend[0];
1436     info->nz_allocated = isend[1];
1437     info->nz_unneeded  = isend[2];
1438     info->memory       = isend[3];
1439     info->mallocs      = isend[4];
1440   } else if (flag == MAT_GLOBAL_MAX) {
1441     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)matin));CHKERRQ(ierr);
1442 
1443     info->nz_used      = irecv[0];
1444     info->nz_allocated = irecv[1];
1445     info->nz_unneeded  = irecv[2];
1446     info->memory       = irecv[3];
1447     info->mallocs      = irecv[4];
1448   } else if (flag == MAT_GLOBAL_SUM) {
1449     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)matin));CHKERRQ(ierr);
1450 
1451     info->nz_used      = irecv[0];
1452     info->nz_allocated = irecv[1];
1453     info->nz_unneeded  = irecv[2];
1454     info->memory       = irecv[3];
1455     info->mallocs      = irecv[4];
1456   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Unknown MatInfoType argument %d",(int)flag);
1457   info->fill_ratio_given  = 0; /* no parallel LU/ILU/Cholesky */
1458   info->fill_ratio_needed = 0;
1459   info->factor_mallocs    = 0;
1460   PetscFunctionReturn(0);
1461 }
1462 
1463 #undef __FUNCT__
1464 #define __FUNCT__ "MatSetOption_MPISBAIJ"
1465 PetscErrorCode MatSetOption_MPISBAIJ(Mat A,MatOption op,PetscBool flg)
1466 {
1467   Mat_MPISBAIJ   *a  = (Mat_MPISBAIJ*)A->data;
1468   Mat_SeqSBAIJ   *aA = (Mat_SeqSBAIJ*)a->A->data;
1469   PetscErrorCode ierr;
1470 
1471   PetscFunctionBegin;
1472   switch (op) {
1473   case MAT_NEW_NONZERO_LOCATIONS:
1474   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1475   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1476   case MAT_KEEP_NONZERO_PATTERN:
1477   case MAT_NEW_NONZERO_LOCATION_ERR:
1478     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1479     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1480     break;
1481   case MAT_ROW_ORIENTED:
1482     a->roworiented = flg;
1483 
1484     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1485     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1486     break;
1487   case MAT_NEW_DIAGONALS:
1488     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1489     break;
1490   case MAT_IGNORE_OFF_PROC_ENTRIES:
1491     a->donotstash = flg;
1492     break;
1493   case MAT_USE_HASH_TABLE:
1494     a->ht_flag = flg;
1495     break;
1496   case MAT_HERMITIAN:
1497     if (!A->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call MatAssemblyEnd() first");
1498     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1499 
1500     A->ops->mult = MatMult_MPISBAIJ_Hermitian;
1501     break;
1502   case MAT_SPD:
1503     A->spd_set = PETSC_TRUE;
1504     A->spd     = flg;
1505     if (flg) {
1506       A->symmetric                  = PETSC_TRUE;
1507       A->structurally_symmetric     = PETSC_TRUE;
1508       A->symmetric_set              = PETSC_TRUE;
1509       A->structurally_symmetric_set = PETSC_TRUE;
1510     }
1511     break;
1512   case MAT_SYMMETRIC:
1513     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1514     break;
1515   case MAT_STRUCTURALLY_SYMMETRIC:
1516     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1517     break;
1518   case MAT_SYMMETRY_ETERNAL:
1519     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Matrix must be symmetric");
1520     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1521     break;
1522   case MAT_IGNORE_LOWER_TRIANGULAR:
1523     aA->ignore_ltriangular = flg;
1524     break;
1525   case MAT_ERROR_LOWER_TRIANGULAR:
1526     aA->ignore_ltriangular = flg;
1527     break;
1528   case MAT_GETROW_UPPERTRIANGULAR:
1529     aA->getrow_utriangular = flg;
1530     break;
1531   default:
1532     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
1533   }
1534   PetscFunctionReturn(0);
1535 }
1536 
1537 #undef __FUNCT__
1538 #define __FUNCT__ "MatTranspose_MPISBAIJ"
1539 PetscErrorCode MatTranspose_MPISBAIJ(Mat A,MatReuse reuse,Mat *B)
1540 {
1541   PetscErrorCode ierr;
1542 
1543   PetscFunctionBegin;
1544   if (MAT_INITIAL_MATRIX || *B != A) {
1545     ierr = MatDuplicate(A,MAT_COPY_VALUES,B);CHKERRQ(ierr);
1546   }
1547   PetscFunctionReturn(0);
1548 }
1549 
1550 #undef __FUNCT__
1551 #define __FUNCT__ "MatDiagonalScale_MPISBAIJ"
1552 PetscErrorCode MatDiagonalScale_MPISBAIJ(Mat mat,Vec ll,Vec rr)
1553 {
1554   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
1555   Mat            a     = baij->A, b=baij->B;
1556   PetscErrorCode ierr;
1557   PetscInt       nv,m,n;
1558   PetscBool      flg;
1559 
1560   PetscFunctionBegin;
1561   if (ll != rr) {
1562     ierr = VecEqual(ll,rr,&flg);CHKERRQ(ierr);
1563     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"For symmetric format, left and right scaling vectors must be same\n");
1564   }
1565   if (!ll) PetscFunctionReturn(0);
1566 
1567   ierr = MatGetLocalSize(mat,&m,&n);CHKERRQ(ierr);
1568   if (m != n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"For symmetric format, local size %d %d must be same",m,n);
1569 
1570   ierr = VecGetLocalSize(rr,&nv);CHKERRQ(ierr);
1571   if (nv!=n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Left and right vector non-conforming local size");
1572 
1573   ierr = VecScatterBegin(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1574 
1575   /* left diagonalscale the off-diagonal part */
1576   ierr = (*b->ops->diagonalscale)(b,ll,NULL);CHKERRQ(ierr);
1577 
1578   /* scale the diagonal part */
1579   ierr = (*a->ops->diagonalscale)(a,ll,rr);CHKERRQ(ierr);
1580 
1581   /* right diagonalscale the off-diagonal part */
1582   ierr = VecScatterEnd(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1583   ierr = (*b->ops->diagonalscale)(b,NULL,baij->lvec);CHKERRQ(ierr);
1584   PetscFunctionReturn(0);
1585 }
1586 
1587 #undef __FUNCT__
1588 #define __FUNCT__ "MatSetUnfactored_MPISBAIJ"
1589 PetscErrorCode MatSetUnfactored_MPISBAIJ(Mat A)
1590 {
1591   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1592   PetscErrorCode ierr;
1593 
1594   PetscFunctionBegin;
1595   ierr = MatSetUnfactored(a->A);CHKERRQ(ierr);
1596   PetscFunctionReturn(0);
1597 }
1598 
1599 static PetscErrorCode MatDuplicate_MPISBAIJ(Mat,MatDuplicateOption,Mat*);
1600 
1601 #undef __FUNCT__
1602 #define __FUNCT__ "MatEqual_MPISBAIJ"
1603 PetscErrorCode MatEqual_MPISBAIJ(Mat A,Mat B,PetscBool  *flag)
1604 {
1605   Mat_MPISBAIJ   *matB = (Mat_MPISBAIJ*)B->data,*matA = (Mat_MPISBAIJ*)A->data;
1606   Mat            a,b,c,d;
1607   PetscBool      flg;
1608   PetscErrorCode ierr;
1609 
1610   PetscFunctionBegin;
1611   a = matA->A; b = matA->B;
1612   c = matB->A; d = matB->B;
1613 
1614   ierr = MatEqual(a,c,&flg);CHKERRQ(ierr);
1615   if (flg) {
1616     ierr = MatEqual(b,d,&flg);CHKERRQ(ierr);
1617   }
1618   ierr = MPI_Allreduce(&flg,flag,1,MPIU_BOOL,MPI_LAND,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
1619   PetscFunctionReturn(0);
1620 }
1621 
1622 #undef __FUNCT__
1623 #define __FUNCT__ "MatCopy_MPISBAIJ"
1624 PetscErrorCode MatCopy_MPISBAIJ(Mat A,Mat B,MatStructure str)
1625 {
1626   PetscErrorCode ierr;
1627   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1628   Mat_MPISBAIJ   *b = (Mat_MPISBAIJ*)B->data;
1629 
1630   PetscFunctionBegin;
1631   /* If the two matrices don't have the same copy implementation, they aren't compatible for fast copy. */
1632   if ((str != SAME_NONZERO_PATTERN) || (A->ops->copy != B->ops->copy)) {
1633     ierr = MatGetRowUpperTriangular(A);CHKERRQ(ierr);
1634     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
1635     ierr = MatRestoreRowUpperTriangular(A);CHKERRQ(ierr);
1636   } else {
1637     ierr = MatCopy(a->A,b->A,str);CHKERRQ(ierr);
1638     ierr = MatCopy(a->B,b->B,str);CHKERRQ(ierr);
1639   }
1640   PetscFunctionReturn(0);
1641 }
1642 
1643 #undef __FUNCT__
1644 #define __FUNCT__ "MatSetUp_MPISBAIJ"
1645 PetscErrorCode MatSetUp_MPISBAIJ(Mat A)
1646 {
1647   PetscErrorCode ierr;
1648 
1649   PetscFunctionBegin;
1650   ierr = MatMPISBAIJSetPreallocation(A,A->rmap->bs,PETSC_DEFAULT,0,PETSC_DEFAULT,0);CHKERRQ(ierr);
1651   PetscFunctionReturn(0);
1652 }
1653 
1654 #undef __FUNCT__
1655 #define __FUNCT__ "MatAXPY_MPISBAIJ"
1656 PetscErrorCode MatAXPY_MPISBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
1657 {
1658   PetscErrorCode ierr;
1659   Mat_MPISBAIJ   *xx=(Mat_MPISBAIJ*)X->data,*yy=(Mat_MPISBAIJ*)Y->data;
1660   PetscBLASInt   bnz,one=1;
1661   Mat_SeqSBAIJ   *xa,*ya;
1662   Mat_SeqBAIJ    *xb,*yb;
1663 
1664   PetscFunctionBegin;
1665   if (str == SAME_NONZERO_PATTERN) {
1666     PetscScalar alpha = a;
1667     xa   = (Mat_SeqSBAIJ*)xx->A->data;
1668     ya   = (Mat_SeqSBAIJ*)yy->A->data;
1669     ierr = PetscBLASIntCast(xa->nz,&bnz);CHKERRQ(ierr);
1670     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,xa->a,&one,ya->a,&one));
1671     xb   = (Mat_SeqBAIJ*)xx->B->data;
1672     yb   = (Mat_SeqBAIJ*)yy->B->data;
1673     ierr = PetscBLASIntCast(xb->nz,&bnz);CHKERRQ(ierr);
1674     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,xb->a,&one,yb->a,&one));
1675     ierr = PetscObjectStateIncrease((PetscObject)Y);CHKERRQ(ierr);
1676   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
1677     ierr = MatSetOption(X,MAT_GETROW_UPPERTRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
1678     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
1679     ierr = MatSetOption(X,MAT_GETROW_UPPERTRIANGULAR,PETSC_FALSE);CHKERRQ(ierr);
1680   } else {
1681     Mat      B;
1682     PetscInt *nnz_d,*nnz_o,bs=Y->rmap->bs;
1683     if (bs != X->rmap->bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Matrices must have same block size");
1684     ierr = MatGetRowUpperTriangular(X);CHKERRQ(ierr);
1685     ierr = MatGetRowUpperTriangular(Y);CHKERRQ(ierr);
1686     ierr = PetscMalloc1(yy->A->rmap->N,&nnz_d);CHKERRQ(ierr);
1687     ierr = PetscMalloc1(yy->B->rmap->N,&nnz_o);CHKERRQ(ierr);
1688     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
1689     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
1690     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
1691     ierr = MatSetBlockSizesFromMats(B,Y,Y);CHKERRQ(ierr);
1692     ierr = MatSetType(B,MATMPISBAIJ);CHKERRQ(ierr);
1693     ierr = MatAXPYGetPreallocation_SeqSBAIJ(yy->A,xx->A,nnz_d);CHKERRQ(ierr);
1694     ierr = MatAXPYGetPreallocation_MPIBAIJ(yy->B,yy->garray,xx->B,xx->garray,nnz_o);CHKERRQ(ierr);
1695     ierr = MatMPISBAIJSetPreallocation(B,bs,0,nnz_d,0,nnz_o);CHKERRQ(ierr);
1696     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
1697     ierr = MatHeaderReplace(Y,B);CHKERRQ(ierr);
1698     ierr = PetscFree(nnz_d);CHKERRQ(ierr);
1699     ierr = PetscFree(nnz_o);CHKERRQ(ierr);
1700     ierr = MatRestoreRowUpperTriangular(X);CHKERRQ(ierr);
1701     ierr = MatRestoreRowUpperTriangular(Y);CHKERRQ(ierr);
1702   }
1703   PetscFunctionReturn(0);
1704 }
1705 
1706 #undef __FUNCT__
1707 #define __FUNCT__ "MatGetSubMatrices_MPISBAIJ"
1708 PetscErrorCode MatGetSubMatrices_MPISBAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
1709 {
1710   PetscErrorCode ierr;
1711   PetscInt       i;
1712   PetscBool      flg;
1713 
1714   PetscFunctionBegin;
1715   ierr = MatGetSubMatrices_MPIBAIJ(A,n,irow,icol,scall,B);CHKERRQ(ierr);
1716   for (i=0; i<n; i++) {
1717     ierr = ISEqual(irow[i],icol[i],&flg);CHKERRQ(ierr);
1718     if (!flg) { /* *B[i] is non-symmetric, set flag */
1719       ierr = MatSetOption(*B[i],MAT_SYMMETRIC,PETSC_FALSE);CHKERRQ(ierr);
1720     }
1721   }
1722   PetscFunctionReturn(0);
1723 }
1724 
1725 #undef __FUNCT__
1726 #define __FUNCT__ "MatShift_MPISBAIJ"
1727 PetscErrorCode MatShift_MPISBAIJ(Mat Y,PetscScalar a)
1728 {
1729   PetscErrorCode ierr;
1730   Mat_MPISBAIJ    *maij = (Mat_MPISBAIJ*)Y->data;
1731   Mat_SeqSBAIJ    *aij = (Mat_SeqSBAIJ*)maij->A->data,*bij = (Mat_SeqSBAIJ*)maij->B->data;
1732 
1733   PetscFunctionBegin;
1734   if (!aij->nz && !bij->nz) {
1735     ierr = MatMPISBAIJSetPreallocation(Y,Y->rmap->bs,1,NULL,0,NULL);CHKERRQ(ierr);
1736   }
1737   ierr = MatShift_Basic(Y,a);CHKERRQ(ierr);
1738   PetscFunctionReturn(0);
1739 }
1740 
1741 /* -------------------------------------------------------------------*/
1742 static struct _MatOps MatOps_Values = {MatSetValues_MPISBAIJ,
1743                                        MatGetRow_MPISBAIJ,
1744                                        MatRestoreRow_MPISBAIJ,
1745                                        MatMult_MPISBAIJ,
1746                                /*  4*/ MatMultAdd_MPISBAIJ,
1747                                        MatMult_MPISBAIJ,       /* transpose versions are same as non-transpose */
1748                                        MatMultAdd_MPISBAIJ,
1749                                        0,
1750                                        0,
1751                                        0,
1752                                /* 10*/ 0,
1753                                        0,
1754                                        0,
1755                                        MatSOR_MPISBAIJ,
1756                                        MatTranspose_MPISBAIJ,
1757                                /* 15*/ MatGetInfo_MPISBAIJ,
1758                                        MatEqual_MPISBAIJ,
1759                                        MatGetDiagonal_MPISBAIJ,
1760                                        MatDiagonalScale_MPISBAIJ,
1761                                        MatNorm_MPISBAIJ,
1762                                /* 20*/ MatAssemblyBegin_MPISBAIJ,
1763                                        MatAssemblyEnd_MPISBAIJ,
1764                                        MatSetOption_MPISBAIJ,
1765                                        MatZeroEntries_MPISBAIJ,
1766                                /* 24*/ 0,
1767                                        0,
1768                                        0,
1769                                        0,
1770                                        0,
1771                                /* 29*/ MatSetUp_MPISBAIJ,
1772                                        0,
1773                                        0,
1774                                        0,
1775                                        0,
1776                                /* 34*/ MatDuplicate_MPISBAIJ,
1777                                        0,
1778                                        0,
1779                                        0,
1780                                        0,
1781                                /* 39*/ MatAXPY_MPISBAIJ,
1782                                        MatGetSubMatrices_MPISBAIJ,
1783                                        MatIncreaseOverlap_MPISBAIJ,
1784                                        MatGetValues_MPISBAIJ,
1785                                        MatCopy_MPISBAIJ,
1786                                /* 44*/ 0,
1787                                        MatScale_MPISBAIJ,
1788                                        MatShift_MPISBAIJ,
1789                                        0,
1790                                        0,
1791                                /* 49*/ 0,
1792                                        0,
1793                                        0,
1794                                        0,
1795                                        0,
1796                                /* 54*/ 0,
1797                                        0,
1798                                        MatSetUnfactored_MPISBAIJ,
1799                                        0,
1800                                        MatSetValuesBlocked_MPISBAIJ,
1801                                /* 59*/ MatGetSubMatrix_MPISBAIJ,
1802                                        0,
1803                                        0,
1804                                        0,
1805                                        0,
1806                                /* 64*/ 0,
1807                                        0,
1808                                        0,
1809                                        0,
1810                                        0,
1811                                /* 69*/ MatGetRowMaxAbs_MPISBAIJ,
1812                                        0,
1813                                        0,
1814                                        0,
1815                                        0,
1816                                /* 74*/ 0,
1817                                        0,
1818                                        0,
1819                                        0,
1820                                        0,
1821                                /* 79*/ 0,
1822                                        0,
1823                                        0,
1824                                        0,
1825                                        MatLoad_MPISBAIJ,
1826                                /* 84*/ 0,
1827                                        0,
1828                                        0,
1829                                        0,
1830                                        0,
1831                                /* 89*/ 0,
1832                                        0,
1833                                        0,
1834                                        0,
1835                                        0,
1836                                /* 94*/ 0,
1837                                        0,
1838                                        0,
1839                                        0,
1840                                        0,
1841                                /* 99*/ 0,
1842                                        0,
1843                                        0,
1844                                        0,
1845                                        0,
1846                                /*104*/ 0,
1847                                        MatRealPart_MPISBAIJ,
1848                                        MatImaginaryPart_MPISBAIJ,
1849                                        MatGetRowUpperTriangular_MPISBAIJ,
1850                                        MatRestoreRowUpperTriangular_MPISBAIJ,
1851                                /*109*/ 0,
1852                                        0,
1853                                        0,
1854                                        0,
1855                                        0,
1856                                /*114*/ 0,
1857                                        0,
1858                                        0,
1859                                        0,
1860                                        0,
1861                                /*119*/ 0,
1862                                        0,
1863                                        0,
1864                                        0,
1865                                        0,
1866                                /*124*/ 0,
1867                                        0,
1868                                        0,
1869                                        0,
1870                                        0,
1871                                /*129*/ 0,
1872                                        0,
1873                                        0,
1874                                        0,
1875                                        0,
1876                                /*134*/ 0,
1877                                        0,
1878                                        0,
1879                                        0,
1880                                        0,
1881                                /*139*/ 0,
1882                                        0,
1883                                        0,
1884                                        0,
1885                                        0,
1886                                 /*144*/MatCreateMPIMatConcatenateSeqMat_MPISBAIJ
1887 };
1888 
1889 #undef __FUNCT__
1890 #define __FUNCT__ "MatGetDiagonalBlock_MPISBAIJ"
1891 PetscErrorCode  MatGetDiagonalBlock_MPISBAIJ(Mat A,Mat *a)
1892 {
1893   PetscFunctionBegin;
1894   *a = ((Mat_MPISBAIJ*)A->data)->A;
1895   PetscFunctionReturn(0);
1896 }
1897 
1898 #undef __FUNCT__
1899 #define __FUNCT__ "MatMPISBAIJSetPreallocation_MPISBAIJ"
1900 PetscErrorCode  MatMPISBAIJSetPreallocation_MPISBAIJ(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt *d_nnz,PetscInt o_nz,const PetscInt *o_nnz)
1901 {
1902   Mat_MPISBAIJ   *b;
1903   PetscErrorCode ierr;
1904   PetscInt       i,mbs,Mbs;
1905 
1906   PetscFunctionBegin;
1907   ierr = MatSetBlockSize(B,PetscAbs(bs));CHKERRQ(ierr);
1908   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1909   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1910   ierr = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
1911 
1912   b   = (Mat_MPISBAIJ*)B->data;
1913   mbs = B->rmap->n/bs;
1914   Mbs = B->rmap->N/bs;
1915   if (mbs*bs != B->rmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"No of local rows %D must be divisible by blocksize %D",B->rmap->N,bs);
1916 
1917   B->rmap->bs = bs;
1918   b->bs2      = bs*bs;
1919   b->mbs      = mbs;
1920   b->Mbs      = Mbs;
1921   b->nbs      = B->cmap->n/bs;
1922   b->Nbs      = B->cmap->N/bs;
1923 
1924   for (i=0; i<=b->size; i++) {
1925     b->rangebs[i] = B->rmap->range[i]/bs;
1926   }
1927   b->rstartbs = B->rmap->rstart/bs;
1928   b->rendbs   = B->rmap->rend/bs;
1929 
1930   b->cstartbs = B->cmap->rstart/bs;
1931   b->cendbs   = B->cmap->rend/bs;
1932 
1933   if (!B->preallocated) {
1934     ierr = MatCreate(PETSC_COMM_SELF,&b->A);CHKERRQ(ierr);
1935     ierr = MatSetSizes(b->A,B->rmap->n,B->cmap->n,B->rmap->n,B->cmap->n);CHKERRQ(ierr);
1936     ierr = MatSetType(b->A,MATSEQSBAIJ);CHKERRQ(ierr);
1937     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->A);CHKERRQ(ierr);
1938     ierr = MatCreate(PETSC_COMM_SELF,&b->B);CHKERRQ(ierr);
1939     ierr = MatSetSizes(b->B,B->rmap->n,B->cmap->N,B->rmap->n,B->cmap->N);CHKERRQ(ierr);
1940     ierr = MatSetType(b->B,MATSEQBAIJ);CHKERRQ(ierr);
1941     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->B);CHKERRQ(ierr);
1942     ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),bs,&B->bstash);CHKERRQ(ierr);
1943   }
1944 
1945   ierr = MatSeqSBAIJSetPreallocation(b->A,bs,d_nz,d_nnz);CHKERRQ(ierr);
1946   ierr = MatSeqBAIJSetPreallocation(b->B,bs,o_nz,o_nnz);CHKERRQ(ierr);
1947 
1948   B->preallocated = PETSC_TRUE;
1949   PetscFunctionReturn(0);
1950 }
1951 
1952 #undef __FUNCT__
1953 #define __FUNCT__ "MatMPISBAIJSetPreallocationCSR_MPISBAIJ"
1954 PetscErrorCode MatMPISBAIJSetPreallocationCSR_MPISBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
1955 {
1956   PetscInt       m,rstart,cstart,cend;
1957   PetscInt       i,j,d,nz,nz_max=0,*d_nnz=0,*o_nnz=0;
1958   const PetscInt *JJ    =0;
1959   PetscScalar    *values=0;
1960   PetscErrorCode ierr;
1961 
1962   PetscFunctionBegin;
1963   if (bs < 1) SETERRQ1(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive but it is %D",bs);
1964   ierr   = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
1965   ierr   = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
1966   ierr   = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1967   ierr   = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1968   ierr   = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
1969   m      = B->rmap->n/bs;
1970   rstart = B->rmap->rstart/bs;
1971   cstart = B->cmap->rstart/bs;
1972   cend   = B->cmap->rend/bs;
1973 
1974   if (ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"ii[0] must be 0 but it is %D",ii[0]);
1975   ierr = PetscMalloc2(m,&d_nnz,m,&o_nnz);CHKERRQ(ierr);
1976   for (i=0; i<m; i++) {
1977     nz = ii[i+1] - ii[i];
1978     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Local row %D has a negative number of columns %D",i,nz);
1979     nz_max = PetscMax(nz_max,nz);
1980     JJ     = jj + ii[i];
1981     for (j=0; j<nz; j++) {
1982       if (*JJ >= cstart) break;
1983       JJ++;
1984     }
1985     d = 0;
1986     for (; j<nz; j++) {
1987       if (*JJ++ >= cend) break;
1988       d++;
1989     }
1990     d_nnz[i] = d;
1991     o_nnz[i] = nz - d;
1992   }
1993   ierr = MatMPISBAIJSetPreallocation(B,bs,0,d_nnz,0,o_nnz);CHKERRQ(ierr);
1994   ierr = PetscFree2(d_nnz,o_nnz);CHKERRQ(ierr);
1995 
1996   values = (PetscScalar*)V;
1997   if (!values) {
1998     ierr = PetscMalloc1(bs*bs*nz_max,&values);CHKERRQ(ierr);
1999     ierr = PetscMemzero(values,bs*bs*nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
2000   }
2001   for (i=0; i<m; i++) {
2002     PetscInt          row    = i + rstart;
2003     PetscInt          ncols  = ii[i+1] - ii[i];
2004     const PetscInt    *icols = jj + ii[i];
2005     const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
2006     ierr = MatSetValuesBlocked_MPISBAIJ(B,1,&row,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
2007   }
2008 
2009   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
2010   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2011   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2012   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
2013   PetscFunctionReturn(0);
2014 }
2015 
2016 /*MC
2017    MATMPISBAIJ - MATMPISBAIJ = "mpisbaij" - A matrix type to be used for distributed symmetric sparse block matrices,
2018    based on block compressed sparse row format.  Only the upper triangular portion of the "diagonal" portion of
2019    the matrix is stored.
2020 
2021   For complex numbers by default this matrix is symmetric, NOT Hermitian symmetric. To make it Hermitian symmetric you
2022   can call MatSetOption(Mat, MAT_HERMITIAN);
2023 
2024    Options Database Keys:
2025 . -mat_type mpisbaij - sets the matrix type to "mpisbaij" during a call to MatSetFromOptions()
2026 
2027   Level: beginner
2028 
2029 .seealso: MatCreateMPISBAIJ
2030 M*/
2031 
2032 PETSC_EXTERN PetscErrorCode MatConvert_MPISBAIJ_MPISBSTRM(Mat,MatType,MatReuse,Mat*);
2033 
2034 #undef __FUNCT__
2035 #define __FUNCT__ "MatCreate_MPISBAIJ"
2036 PETSC_EXTERN PetscErrorCode MatCreate_MPISBAIJ(Mat B)
2037 {
2038   Mat_MPISBAIJ   *b;
2039   PetscErrorCode ierr;
2040   PetscBool      flg = PETSC_FALSE;
2041 
2042   PetscFunctionBegin;
2043   ierr    = PetscNewLog(B,&b);CHKERRQ(ierr);
2044   B->data = (void*)b;
2045   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
2046 
2047   B->ops->destroy = MatDestroy_MPISBAIJ;
2048   B->ops->view    = MatView_MPISBAIJ;
2049   B->assembled    = PETSC_FALSE;
2050   B->insertmode   = NOT_SET_VALUES;
2051 
2052   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)B),&b->rank);CHKERRQ(ierr);
2053   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&b->size);CHKERRQ(ierr);
2054 
2055   /* build local table of row and column ownerships */
2056   ierr = PetscMalloc1(b->size+2,&b->rangebs);CHKERRQ(ierr);
2057 
2058   /* build cache for off array entries formed */
2059   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),1,&B->stash);CHKERRQ(ierr);
2060 
2061   b->donotstash  = PETSC_FALSE;
2062   b->colmap      = NULL;
2063   b->garray      = NULL;
2064   b->roworiented = PETSC_TRUE;
2065 
2066   /* stuff used in block assembly */
2067   b->barray = 0;
2068 
2069   /* stuff used for matrix vector multiply */
2070   b->lvec    = 0;
2071   b->Mvctx   = 0;
2072   b->slvec0  = 0;
2073   b->slvec0b = 0;
2074   b->slvec1  = 0;
2075   b->slvec1a = 0;
2076   b->slvec1b = 0;
2077   b->sMvctx  = 0;
2078 
2079   /* stuff for MatGetRow() */
2080   b->rowindices   = 0;
2081   b->rowvalues    = 0;
2082   b->getrowactive = PETSC_FALSE;
2083 
2084   /* hash table stuff */
2085   b->ht           = 0;
2086   b->hd           = 0;
2087   b->ht_size      = 0;
2088   b->ht_flag      = PETSC_FALSE;
2089   b->ht_fact      = 0;
2090   b->ht_total_ct  = 0;
2091   b->ht_insert_ct = 0;
2092 
2093   /* stuff for MatGetSubMatrices_MPIBAIJ_local() */
2094   b->ijonly = PETSC_FALSE;
2095 
2096   b->in_loc = 0;
2097   b->v_loc  = 0;
2098   b->n_loc  = 0;
2099 
2100   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_MPISBAIJ);CHKERRQ(ierr);
2101   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_MPISBAIJ);CHKERRQ(ierr);
2102   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetDiagonalBlock_C",MatGetDiagonalBlock_MPISBAIJ);CHKERRQ(ierr);
2103   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPISBAIJSetPreallocation_C",MatMPISBAIJSetPreallocation_MPISBAIJ);CHKERRQ(ierr);
2104   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPISBAIJSetPreallocationCSR_C",MatMPISBAIJSetPreallocationCSR_MPISBAIJ);CHKERRQ(ierr);
2105   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpisbaij_mpisbstrm_C",MatConvert_MPISBAIJ_MPISBSTRM);CHKERRQ(ierr);
2106 #if defined(PETSC_HAVE_ELEMENTAL)
2107   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpisbaij_elemental_C",MatConvert_MPISBAIJ_Elemental);CHKERRQ(ierr);
2108 #endif
2109 
2110   B->symmetric                  = PETSC_TRUE;
2111   B->structurally_symmetric     = PETSC_TRUE;
2112   B->symmetric_set              = PETSC_TRUE;
2113   B->structurally_symmetric_set = PETSC_TRUE;
2114 
2115   ierr = PetscObjectChangeTypeName((PetscObject)B,MATMPISBAIJ);CHKERRQ(ierr);
2116   ierr      = PetscOptionsBegin(PetscObjectComm((PetscObject)B),NULL,"Options for loading MPISBAIJ matrix 1","Mat");CHKERRQ(ierr);
2117   ierr      = PetscOptionsBool("-mat_use_hash_table","Use hash table to save memory in constructing matrix","MatSetOption",flg,&flg,NULL);CHKERRQ(ierr);
2118   if (flg) {
2119     PetscReal fact = 1.39;
2120     ierr = MatSetOption(B,MAT_USE_HASH_TABLE,PETSC_TRUE);CHKERRQ(ierr);
2121     ierr = PetscOptionsReal("-mat_use_hash_table","Use hash table factor","MatMPIBAIJSetHashTableFactor",fact,&fact,NULL);CHKERRQ(ierr);
2122     if (fact <= 1.0) fact = 1.39;
2123     ierr = MatMPIBAIJSetHashTableFactor(B,fact);CHKERRQ(ierr);
2124     ierr = PetscInfo1(B,"Hash table Factor used %5.2f\n",fact);CHKERRQ(ierr);
2125   }
2126   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2127   PetscFunctionReturn(0);
2128 }
2129 
2130 /*MC
2131    MATSBAIJ - MATSBAIJ = "sbaij" - A matrix type to be used for symmetric block sparse matrices.
2132 
2133    This matrix type is identical to MATSEQSBAIJ when constructed with a single process communicator,
2134    and MATMPISBAIJ otherwise.
2135 
2136    Options Database Keys:
2137 . -mat_type sbaij - sets the matrix type to "sbaij" during a call to MatSetFromOptions()
2138 
2139   Level: beginner
2140 
2141 .seealso: MatCreateMPISBAIJ,MATSEQSBAIJ,MATMPISBAIJ
2142 M*/
2143 
2144 #undef __FUNCT__
2145 #define __FUNCT__ "MatMPISBAIJSetPreallocation"
2146 /*@C
2147    MatMPISBAIJSetPreallocation - For good matrix assembly performance
2148    the user should preallocate the matrix storage by setting the parameters
2149    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
2150    performance can be increased by more than a factor of 50.
2151 
2152    Collective on Mat
2153 
2154    Input Parameters:
2155 +  B - the matrix
2156 .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
2157           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
2158 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
2159            submatrix  (same for all local rows)
2160 .  d_nnz - array containing the number of block nonzeros in the various block rows
2161            in the upper triangular and diagonal part of the in diagonal portion of the local
2162            (possibly different for each block row) or NULL.  If you plan to factor the matrix you must leave room
2163            for the diagonal entry and set a value even if it is zero.
2164 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
2165            submatrix (same for all local rows).
2166 -  o_nnz - array containing the number of nonzeros in the various block rows of the
2167            off-diagonal portion of the local submatrix that is right of the diagonal
2168            (possibly different for each block row) or NULL.
2169 
2170 
2171    Options Database Keys:
2172 .   -mat_no_unroll - uses code that does not unroll the loops in the
2173                      block calculations (much slower)
2174 .   -mat_block_size - size of the blocks to use
2175 
2176    Notes:
2177 
2178    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
2179    than it must be used on all processors that share the object for that argument.
2180 
2181    If the *_nnz parameter is given then the *_nz parameter is ignored
2182 
2183    Storage Information:
2184    For a square global matrix we define each processor's diagonal portion
2185    to be its local rows and the corresponding columns (a square submatrix);
2186    each processor's off-diagonal portion encompasses the remainder of the
2187    local matrix (a rectangular submatrix).
2188 
2189    The user can specify preallocated storage for the diagonal part of
2190    the local submatrix with either d_nz or d_nnz (not both).  Set
2191    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
2192    memory allocation.  Likewise, specify preallocated storage for the
2193    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
2194 
2195    You can call MatGetInfo() to get information on how effective the preallocation was;
2196    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
2197    You can also run with the option -info and look for messages with the string
2198    malloc in them to see if additional memory allocation was needed.
2199 
2200    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
2201    the figure below we depict these three local rows and all columns (0-11).
2202 
2203 .vb
2204            0 1 2 3 4 5 6 7 8 9 10 11
2205           --------------------------
2206    row 3  |. . . d d d o o o o  o  o
2207    row 4  |. . . d d d o o o o  o  o
2208    row 5  |. . . d d d o o o o  o  o
2209           --------------------------
2210 .ve
2211 
2212    Thus, any entries in the d locations are stored in the d (diagonal)
2213    submatrix, and any entries in the o locations are stored in the
2214    o (off-diagonal) submatrix.  Note that the d matrix is stored in
2215    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
2216 
2217    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
2218    plus the diagonal part of the d matrix,
2219    and o_nz should indicate the number of block nonzeros per row in the o matrix
2220 
2221    In general, for PDE problems in which most nonzeros are near the diagonal,
2222    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
2223    or you will get TERRIBLE performance; see the users' manual chapter on
2224    matrices.
2225 
2226    Level: intermediate
2227 
2228 .keywords: matrix, block, aij, compressed row, sparse, parallel
2229 
2230 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateBAIJ(), PetscSplitOwnership()
2231 @*/
2232 PetscErrorCode  MatMPISBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
2233 {
2234   PetscErrorCode ierr;
2235 
2236   PetscFunctionBegin;
2237   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
2238   PetscValidType(B,1);
2239   PetscValidLogicalCollectiveInt(B,bs,2);
2240   ierr = PetscTryMethod(B,"MatMPISBAIJSetPreallocation_C",(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]),(B,bs,d_nz,d_nnz,o_nz,o_nnz));CHKERRQ(ierr);
2241   PetscFunctionReturn(0);
2242 }
2243 
2244 #undef __FUNCT__
2245 #define __FUNCT__ "MatCreateSBAIJ"
2246 /*@C
2247    MatCreateSBAIJ - Creates a sparse parallel matrix in symmetric block AIJ format
2248    (block compressed row).  For good matrix assembly performance
2249    the user should preallocate the matrix storage by setting the parameters
2250    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
2251    performance can be increased by more than a factor of 50.
2252 
2253    Collective on MPI_Comm
2254 
2255    Input Parameters:
2256 +  comm - MPI communicator
2257 .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
2258           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
2259 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
2260            This value should be the same as the local size used in creating the
2261            y vector for the matrix-vector product y = Ax.
2262 .  n - number of local columns (or PETSC_DECIDE to have calculated if N is given)
2263            This value should be the same as the local size used in creating the
2264            x vector for the matrix-vector product y = Ax.
2265 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
2266 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
2267 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
2268            submatrix  (same for all local rows)
2269 .  d_nnz - array containing the number of block nonzeros in the various block rows
2270            in the upper triangular portion of the in diagonal portion of the local
2271            (possibly different for each block block row) or NULL.
2272            If you plan to factor the matrix you must leave room for the diagonal entry and
2273            set its value even if it is zero.
2274 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
2275            submatrix (same for all local rows).
2276 -  o_nnz - array containing the number of nonzeros in the various block rows of the
2277            off-diagonal portion of the local submatrix (possibly different for
2278            each block row) or NULL.
2279 
2280    Output Parameter:
2281 .  A - the matrix
2282 
2283    Options Database Keys:
2284 .   -mat_no_unroll - uses code that does not unroll the loops in the
2285                      block calculations (much slower)
2286 .   -mat_block_size - size of the blocks to use
2287 .   -mat_mpi - use the parallel matrix data structures even on one processor
2288                (defaults to using SeqBAIJ format on one processor)
2289 
2290    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
2291    MatXXXXSetPreallocation() paradgm instead of this routine directly.
2292    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
2293 
2294    Notes:
2295    The number of rows and columns must be divisible by blocksize.
2296    This matrix type does not support complex Hermitian operation.
2297 
2298    The user MUST specify either the local or global matrix dimensions
2299    (possibly both).
2300 
2301    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
2302    than it must be used on all processors that share the object for that argument.
2303 
2304    If the *_nnz parameter is given then the *_nz parameter is ignored
2305 
2306    Storage Information:
2307    For a square global matrix we define each processor's diagonal portion
2308    to be its local rows and the corresponding columns (a square submatrix);
2309    each processor's off-diagonal portion encompasses the remainder of the
2310    local matrix (a rectangular submatrix).
2311 
2312    The user can specify preallocated storage for the diagonal part of
2313    the local submatrix with either d_nz or d_nnz (not both).  Set
2314    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
2315    memory allocation.  Likewise, specify preallocated storage for the
2316    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
2317 
2318    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
2319    the figure below we depict these three local rows and all columns (0-11).
2320 
2321 .vb
2322            0 1 2 3 4 5 6 7 8 9 10 11
2323           --------------------------
2324    row 3  |. . . d d d o o o o  o  o
2325    row 4  |. . . d d d o o o o  o  o
2326    row 5  |. . . d d d o o o o  o  o
2327           --------------------------
2328 .ve
2329 
2330    Thus, any entries in the d locations are stored in the d (diagonal)
2331    submatrix, and any entries in the o locations are stored in the
2332    o (off-diagonal) submatrix.  Note that the d matrix is stored in
2333    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
2334 
2335    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
2336    plus the diagonal part of the d matrix,
2337    and o_nz should indicate the number of block nonzeros per row in the o matrix.
2338    In general, for PDE problems in which most nonzeros are near the diagonal,
2339    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
2340    or you will get TERRIBLE performance; see the users' manual chapter on
2341    matrices.
2342 
2343    Level: intermediate
2344 
2345 .keywords: matrix, block, aij, compressed row, sparse, parallel
2346 
2347 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateBAIJ()
2348 @*/
2349 
2350 PetscErrorCode  MatCreateSBAIJ(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[],Mat *A)
2351 {
2352   PetscErrorCode ierr;
2353   PetscMPIInt    size;
2354 
2355   PetscFunctionBegin;
2356   ierr = MatCreate(comm,A);CHKERRQ(ierr);
2357   ierr = MatSetSizes(*A,m,n,M,N);CHKERRQ(ierr);
2358   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2359   if (size > 1) {
2360     ierr = MatSetType(*A,MATMPISBAIJ);CHKERRQ(ierr);
2361     ierr = MatMPISBAIJSetPreallocation(*A,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
2362   } else {
2363     ierr = MatSetType(*A,MATSEQSBAIJ);CHKERRQ(ierr);
2364     ierr = MatSeqSBAIJSetPreallocation(*A,bs,d_nz,d_nnz);CHKERRQ(ierr);
2365   }
2366   PetscFunctionReturn(0);
2367 }
2368 
2369 
2370 #undef __FUNCT__
2371 #define __FUNCT__ "MatDuplicate_MPISBAIJ"
2372 static PetscErrorCode MatDuplicate_MPISBAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
2373 {
2374   Mat            mat;
2375   Mat_MPISBAIJ   *a,*oldmat = (Mat_MPISBAIJ*)matin->data;
2376   PetscErrorCode ierr;
2377   PetscInt       len=0,nt,bs=matin->rmap->bs,mbs=oldmat->mbs;
2378   PetscScalar    *array;
2379 
2380   PetscFunctionBegin;
2381   *newmat = 0;
2382 
2383   ierr = MatCreate(PetscObjectComm((PetscObject)matin),&mat);CHKERRQ(ierr);
2384   ierr = MatSetSizes(mat,matin->rmap->n,matin->cmap->n,matin->rmap->N,matin->cmap->N);CHKERRQ(ierr);
2385   ierr = MatSetType(mat,((PetscObject)matin)->type_name);CHKERRQ(ierr);
2386   ierr = PetscMemcpy(mat->ops,matin->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
2387   ierr = PetscLayoutReference(matin->rmap,&mat->rmap);CHKERRQ(ierr);
2388   ierr = PetscLayoutReference(matin->cmap,&mat->cmap);CHKERRQ(ierr);
2389 
2390   mat->factortype   = matin->factortype;
2391   mat->preallocated = PETSC_TRUE;
2392   mat->assembled    = PETSC_TRUE;
2393   mat->insertmode   = NOT_SET_VALUES;
2394 
2395   a      = (Mat_MPISBAIJ*)mat->data;
2396   a->bs2 = oldmat->bs2;
2397   a->mbs = oldmat->mbs;
2398   a->nbs = oldmat->nbs;
2399   a->Mbs = oldmat->Mbs;
2400   a->Nbs = oldmat->Nbs;
2401 
2402 
2403   a->size         = oldmat->size;
2404   a->rank         = oldmat->rank;
2405   a->donotstash   = oldmat->donotstash;
2406   a->roworiented  = oldmat->roworiented;
2407   a->rowindices   = 0;
2408   a->rowvalues    = 0;
2409   a->getrowactive = PETSC_FALSE;
2410   a->barray       = 0;
2411   a->rstartbs     = oldmat->rstartbs;
2412   a->rendbs       = oldmat->rendbs;
2413   a->cstartbs     = oldmat->cstartbs;
2414   a->cendbs       = oldmat->cendbs;
2415 
2416   /* hash table stuff */
2417   a->ht           = 0;
2418   a->hd           = 0;
2419   a->ht_size      = 0;
2420   a->ht_flag      = oldmat->ht_flag;
2421   a->ht_fact      = oldmat->ht_fact;
2422   a->ht_total_ct  = 0;
2423   a->ht_insert_ct = 0;
2424 
2425   ierr = PetscMemcpy(a->rangebs,oldmat->rangebs,(a->size+2)*sizeof(PetscInt));CHKERRQ(ierr);
2426   if (oldmat->colmap) {
2427 #if defined(PETSC_USE_CTABLE)
2428     ierr = PetscTableCreateCopy(oldmat->colmap,&a->colmap);CHKERRQ(ierr);
2429 #else
2430     ierr = PetscMalloc1(a->Nbs,&a->colmap);CHKERRQ(ierr);
2431     ierr = PetscLogObjectMemory((PetscObject)mat,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2432     ierr = PetscMemcpy(a->colmap,oldmat->colmap,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2433 #endif
2434   } else a->colmap = 0;
2435 
2436   if (oldmat->garray && (len = ((Mat_SeqBAIJ*)(oldmat->B->data))->nbs)) {
2437     ierr = PetscMalloc1(len,&a->garray);CHKERRQ(ierr);
2438     ierr = PetscLogObjectMemory((PetscObject)mat,len*sizeof(PetscInt));CHKERRQ(ierr);
2439     ierr = PetscMemcpy(a->garray,oldmat->garray,len*sizeof(PetscInt));CHKERRQ(ierr);
2440   } else a->garray = 0;
2441 
2442   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)matin),matin->rmap->bs,&mat->bstash);CHKERRQ(ierr);
2443   ierr = VecDuplicate(oldmat->lvec,&a->lvec);CHKERRQ(ierr);
2444   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->lvec);CHKERRQ(ierr);
2445   ierr = VecScatterCopy(oldmat->Mvctx,&a->Mvctx);CHKERRQ(ierr);
2446   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->Mvctx);CHKERRQ(ierr);
2447 
2448   ierr =  VecDuplicate(oldmat->slvec0,&a->slvec0);CHKERRQ(ierr);
2449   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0);CHKERRQ(ierr);
2450   ierr =  VecDuplicate(oldmat->slvec1,&a->slvec1);CHKERRQ(ierr);
2451   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1);CHKERRQ(ierr);
2452 
2453   ierr = VecGetLocalSize(a->slvec1,&nt);CHKERRQ(ierr);
2454   ierr = VecGetArray(a->slvec1,&array);CHKERRQ(ierr);
2455   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,bs*mbs,array,&a->slvec1a);CHKERRQ(ierr);
2456   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nt-bs*mbs,array+bs*mbs,&a->slvec1b);CHKERRQ(ierr);
2457   ierr = VecRestoreArray(a->slvec1,&array);CHKERRQ(ierr);
2458   ierr = VecGetArray(a->slvec0,&array);CHKERRQ(ierr);
2459   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nt-bs*mbs,array+bs*mbs,&a->slvec0b);CHKERRQ(ierr);
2460   ierr = VecRestoreArray(a->slvec0,&array);CHKERRQ(ierr);
2461   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0);CHKERRQ(ierr);
2462   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1);CHKERRQ(ierr);
2463   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0b);CHKERRQ(ierr);
2464   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1a);CHKERRQ(ierr);
2465   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1b);CHKERRQ(ierr);
2466 
2467   /* ierr =  VecScatterCopy(oldmat->sMvctx,&a->sMvctx); - not written yet, replaced by the lazy trick: */
2468   ierr      = PetscObjectReference((PetscObject)oldmat->sMvctx);CHKERRQ(ierr);
2469   a->sMvctx = oldmat->sMvctx;
2470   ierr      = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->sMvctx);CHKERRQ(ierr);
2471 
2472   ierr    =  MatDuplicate(oldmat->A,cpvalues,&a->A);CHKERRQ(ierr);
2473   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->A);CHKERRQ(ierr);
2474   ierr    =  MatDuplicate(oldmat->B,cpvalues,&a->B);CHKERRQ(ierr);
2475   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->B);CHKERRQ(ierr);
2476   ierr    = PetscFunctionListDuplicate(((PetscObject)matin)->qlist,&((PetscObject)mat)->qlist);CHKERRQ(ierr);
2477   *newmat = mat;
2478   PetscFunctionReturn(0);
2479 }
2480 
2481 #undef __FUNCT__
2482 #define __FUNCT__ "MatLoad_MPISBAIJ"
2483 PetscErrorCode MatLoad_MPISBAIJ(Mat newmat,PetscViewer viewer)
2484 {
2485   PetscErrorCode ierr;
2486   PetscInt       i,nz,j,rstart,rend;
2487   PetscScalar    *vals,*buf;
2488   MPI_Comm       comm;
2489   MPI_Status     status;
2490   PetscMPIInt    rank,size,tag = ((PetscObject)viewer)->tag,*sndcounts = 0,*browners,maxnz,*rowners,mmbs;
2491   PetscInt       header[4],*rowlengths = 0,M,N,m,*cols,*locrowlens;
2492   PetscInt       *procsnz = 0,jj,*mycols,*ibuf;
2493   PetscInt       bs = newmat->rmap->bs,Mbs,mbs,extra_rows;
2494   PetscInt       *dlens,*odlens,*mask,*masked1,*masked2,rowcount,odcount;
2495   PetscInt       dcount,kmax,k,nzcount,tmp,sizesset=1,grows,gcols;
2496   int            fd;
2497 
2498   PetscFunctionBegin;
2499   /* force binary viewer to load .info file if it has not yet done so */
2500   ierr = PetscViewerSetUp(viewer);CHKERRQ(ierr);
2501   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
2502   ierr = PetscOptionsBegin(comm,NULL,"Options for loading MPISBAIJ matrix 2","Mat");CHKERRQ(ierr);
2503   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
2504   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2505   if (bs < 0) bs = 1;
2506 
2507   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2508   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
2509   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
2510   if (!rank) {
2511     ierr = PetscBinaryRead(fd,(char*)header,4,PETSC_INT);CHKERRQ(ierr);
2512     if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
2513     if (header[3] < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as MPISBAIJ");
2514   }
2515 
2516   if (newmat->rmap->n < 0 && newmat->rmap->N < 0 && newmat->cmap->n < 0 && newmat->cmap->N < 0) sizesset = 0;
2517 
2518   ierr = MPI_Bcast(header+1,3,MPIU_INT,0,comm);CHKERRQ(ierr);
2519   M    = header[1];
2520   N    = header[2];
2521 
2522   /* If global rows/cols are set to PETSC_DECIDE, set it to the sizes given in the file */
2523   if (sizesset && newmat->rmap->N < 0) newmat->rmap->N = M;
2524   if (sizesset && newmat->cmap->N < 0) newmat->cmap->N = N;
2525 
2526   /* If global sizes are set, check if they are consistent with that given in the file */
2527   if (sizesset) {
2528     ierr = MatGetSize(newmat,&grows,&gcols);CHKERRQ(ierr);
2529   }
2530   if (sizesset && newmat->rmap->N != grows) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED, "Inconsistent # of rows:Matrix in file has (%d) and input matrix has (%d)",M,grows);
2531   if (sizesset && newmat->cmap->N != gcols) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED, "Inconsistent # of cols:Matrix in file has (%d) and input matrix has (%d)",N,gcols);
2532 
2533   if (M != N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Can only do square matrices");
2534 
2535   /*
2536      This code adds extra rows to make sure the number of rows is
2537      divisible by the blocksize
2538   */
2539   Mbs        = M/bs;
2540   extra_rows = bs - M + bs*(Mbs);
2541   if (extra_rows == bs) extra_rows = 0;
2542   else                  Mbs++;
2543   if (extra_rows &&!rank) {
2544     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
2545   }
2546 
2547   /* determine ownership of all rows */
2548   if (newmat->rmap->n < 0) { /* PETSC_DECIDE */
2549     mbs = Mbs/size + ((Mbs % size) > rank);
2550     m   = mbs*bs;
2551   } else { /* User Set */
2552     m   = newmat->rmap->n;
2553     mbs = m/bs;
2554   }
2555   ierr       = PetscMalloc2(size+1,&rowners,size+1,&browners);CHKERRQ(ierr);
2556   ierr       = PetscMPIIntCast(mbs,&mmbs);CHKERRQ(ierr);
2557   ierr       = MPI_Allgather(&mmbs,1,MPI_INT,rowners+1,1,MPI_INT,comm);CHKERRQ(ierr);
2558   rowners[0] = 0;
2559   for (i=2; i<=size; i++) rowners[i] += rowners[i-1];
2560   for (i=0; i<=size; i++) browners[i] = rowners[i]*bs;
2561   rstart = rowners[rank];
2562   rend   = rowners[rank+1];
2563 
2564   /* distribute row lengths to all processors */
2565   ierr = PetscMalloc1((rend-rstart)*bs,&locrowlens);CHKERRQ(ierr);
2566   if (!rank) {
2567     ierr = PetscMalloc1(M+extra_rows,&rowlengths);CHKERRQ(ierr);
2568     ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
2569     for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
2570     ierr = PetscMalloc1(size,&sndcounts);CHKERRQ(ierr);
2571     for (i=0; i<size; i++) sndcounts[i] = browners[i+1] - browners[i];
2572     ierr = MPI_Scatterv(rowlengths,sndcounts,browners,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2573     ierr = PetscFree(sndcounts);CHKERRQ(ierr);
2574   } else {
2575     ierr = MPI_Scatterv(0,0,0,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2576   }
2577 
2578   if (!rank) {   /* procs[0] */
2579     /* calculate the number of nonzeros on each processor */
2580     ierr = PetscMalloc1(size,&procsnz);CHKERRQ(ierr);
2581     ierr = PetscMemzero(procsnz,size*sizeof(PetscInt));CHKERRQ(ierr);
2582     for (i=0; i<size; i++) {
2583       for (j=rowners[i]*bs; j< rowners[i+1]*bs; j++) {
2584         procsnz[i] += rowlengths[j];
2585       }
2586     }
2587     ierr = PetscFree(rowlengths);CHKERRQ(ierr);
2588 
2589     /* determine max buffer needed and allocate it */
2590     maxnz = 0;
2591     for (i=0; i<size; i++) {
2592       maxnz = PetscMax(maxnz,procsnz[i]);
2593     }
2594     ierr = PetscMalloc1(maxnz,&cols);CHKERRQ(ierr);
2595 
2596     /* read in my part of the matrix column indices  */
2597     nz     = procsnz[0];
2598     ierr   = PetscMalloc1(nz,&ibuf);CHKERRQ(ierr);
2599     mycols = ibuf;
2600     if (size == 1) nz -= extra_rows;
2601     ierr = PetscBinaryRead(fd,mycols,nz,PETSC_INT);CHKERRQ(ierr);
2602     if (size == 1) {
2603       for (i=0; i< extra_rows; i++) mycols[nz+i] = M+i;
2604     }
2605 
2606     /* read in every ones (except the last) and ship off */
2607     for (i=1; i<size-1; i++) {
2608       nz   = procsnz[i];
2609       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2610       ierr = MPI_Send(cols,nz,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
2611     }
2612     /* read in the stuff for the last proc */
2613     if (size != 1) {
2614       nz   = procsnz[size-1] - extra_rows;  /* the extra rows are not on the disk */
2615       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2616       for (i=0; i<extra_rows; i++) cols[nz+i] = M+i;
2617       ierr = MPI_Send(cols,nz+extra_rows,MPIU_INT,size-1,tag,comm);CHKERRQ(ierr);
2618     }
2619     ierr = PetscFree(cols);CHKERRQ(ierr);
2620   } else {  /* procs[i], i>0 */
2621     /* determine buffer space needed for message */
2622     nz = 0;
2623     for (i=0; i<m; i++) nz += locrowlens[i];
2624     ierr   = PetscMalloc1(nz,&ibuf);CHKERRQ(ierr);
2625     mycols = ibuf;
2626     /* receive message of column indices*/
2627     ierr = MPI_Recv(mycols,nz,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
2628     ierr = MPI_Get_count(&status,MPIU_INT,&maxnz);CHKERRQ(ierr);
2629     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2630   }
2631 
2632   /* loop over local rows, determining number of off diagonal entries */
2633   ierr     = PetscMalloc2(rend-rstart,&dlens,rend-rstart,&odlens);CHKERRQ(ierr);
2634   ierr     = PetscMalloc3(Mbs,&mask,Mbs,&masked1,Mbs,&masked2);CHKERRQ(ierr);
2635   ierr     = PetscMemzero(mask,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2636   ierr     = PetscMemzero(masked1,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2637   ierr     = PetscMemzero(masked2,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2638   rowcount = 0;
2639   nzcount  = 0;
2640   for (i=0; i<mbs; i++) {
2641     dcount  = 0;
2642     odcount = 0;
2643     for (j=0; j<bs; j++) {
2644       kmax = locrowlens[rowcount];
2645       for (k=0; k<kmax; k++) {
2646         tmp = mycols[nzcount++]/bs; /* block col. index */
2647         if (!mask[tmp]) {
2648           mask[tmp] = 1;
2649           if (tmp < rstart || tmp >= rend) masked2[odcount++] = tmp; /* entry in off-diag portion */
2650           else masked1[dcount++] = tmp; /* entry in diag portion */
2651         }
2652       }
2653       rowcount++;
2654     }
2655 
2656     dlens[i]  = dcount;  /* d_nzz[i] */
2657     odlens[i] = odcount; /* o_nzz[i] */
2658 
2659     /* zero out the mask elements we set */
2660     for (j=0; j<dcount; j++) mask[masked1[j]] = 0;
2661     for (j=0; j<odcount; j++) mask[masked2[j]] = 0;
2662   }
2663   if (!sizesset) {
2664     ierr = MatSetSizes(newmat,m,m,M+extra_rows,N+extra_rows);CHKERRQ(ierr);
2665   }
2666   ierr = MatMPISBAIJSetPreallocation(newmat,bs,0,dlens,0,odlens);CHKERRQ(ierr);
2667   ierr = MatSetOption(newmat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
2668 
2669   if (!rank) {
2670     ierr = PetscMalloc1(maxnz,&buf);CHKERRQ(ierr);
2671     /* read in my part of the matrix numerical values  */
2672     nz     = procsnz[0];
2673     vals   = buf;
2674     mycols = ibuf;
2675     if (size == 1) nz -= extra_rows;
2676     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2677     if (size == 1) {
2678       for (i=0; i< extra_rows; i++) vals[nz+i] = 1.0;
2679     }
2680 
2681     /* insert into matrix */
2682     jj = rstart*bs;
2683     for (i=0; i<m; i++) {
2684       ierr    = MatSetValues(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2685       mycols += locrowlens[i];
2686       vals   += locrowlens[i];
2687       jj++;
2688     }
2689 
2690     /* read in other processors (except the last one) and ship out */
2691     for (i=1; i<size-1; i++) {
2692       nz   = procsnz[i];
2693       vals = buf;
2694       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2695       ierr = MPI_Send(vals,nz,MPIU_SCALAR,i,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
2696     }
2697     /* the last proc */
2698     if (size != 1) {
2699       nz   = procsnz[i] - extra_rows;
2700       vals = buf;
2701       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2702       for (i=0; i<extra_rows; i++) vals[nz+i] = 1.0;
2703       ierr = MPI_Send(vals,nz+extra_rows,MPIU_SCALAR,size-1,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
2704     }
2705     ierr = PetscFree(procsnz);CHKERRQ(ierr);
2706 
2707   } else {
2708     /* receive numeric values */
2709     ierr = PetscMalloc1(nz,&buf);CHKERRQ(ierr);
2710 
2711     /* receive message of values*/
2712     vals   = buf;
2713     mycols = ibuf;
2714     ierr   = MPI_Recv(vals,nz,MPIU_SCALAR,0,((PetscObject)newmat)->tag,comm,&status);CHKERRQ(ierr);
2715     ierr   = MPI_Get_count(&status,MPIU_SCALAR,&maxnz);CHKERRQ(ierr);
2716     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2717 
2718     /* insert into matrix */
2719     jj = rstart*bs;
2720     for (i=0; i<m; i++) {
2721       ierr    = MatSetValues_MPISBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2722       mycols += locrowlens[i];
2723       vals   += locrowlens[i];
2724       jj++;
2725     }
2726   }
2727 
2728   ierr = PetscFree(locrowlens);CHKERRQ(ierr);
2729   ierr = PetscFree(buf);CHKERRQ(ierr);
2730   ierr = PetscFree(ibuf);CHKERRQ(ierr);
2731   ierr = PetscFree2(rowners,browners);CHKERRQ(ierr);
2732   ierr = PetscFree2(dlens,odlens);CHKERRQ(ierr);
2733   ierr = PetscFree3(mask,masked1,masked2);CHKERRQ(ierr);
2734   ierr = MatAssemblyBegin(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2735   ierr = MatAssemblyEnd(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2736   PetscFunctionReturn(0);
2737 }
2738 
2739 #undef __FUNCT__
2740 #define __FUNCT__ "MatMPISBAIJSetHashTableFactor"
2741 /*XXXXX@
2742    MatMPISBAIJSetHashTableFactor - Sets the factor required to compute the size of the HashTable.
2743 
2744    Input Parameters:
2745 .  mat  - the matrix
2746 .  fact - factor
2747 
2748    Not Collective on Mat, each process can have a different hash factor
2749 
2750    Level: advanced
2751 
2752   Notes:
2753    This can also be set by the command line option: -mat_use_hash_table fact
2754 
2755 .keywords: matrix, hashtable, factor, HT
2756 
2757 .seealso: MatSetOption()
2758 @XXXXX*/
2759 
2760 
2761 #undef __FUNCT__
2762 #define __FUNCT__ "MatGetRowMaxAbs_MPISBAIJ"
2763 PetscErrorCode MatGetRowMaxAbs_MPISBAIJ(Mat A,Vec v,PetscInt idx[])
2764 {
2765   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
2766   Mat_SeqBAIJ    *b = (Mat_SeqBAIJ*)(a->B)->data;
2767   PetscReal      atmp;
2768   PetscReal      *work,*svalues,*rvalues;
2769   PetscErrorCode ierr;
2770   PetscInt       i,bs,mbs,*bi,*bj,brow,j,ncols,krow,kcol,col,row,Mbs,bcol;
2771   PetscMPIInt    rank,size;
2772   PetscInt       *rowners_bs,dest,count,source;
2773   PetscScalar    *va;
2774   MatScalar      *ba;
2775   MPI_Status     stat;
2776 
2777   PetscFunctionBegin;
2778   if (idx) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Send email to petsc-maint@mcs.anl.gov");
2779   ierr = MatGetRowMaxAbs(a->A,v,NULL);CHKERRQ(ierr);
2780   ierr = VecGetArray(v,&va);CHKERRQ(ierr);
2781 
2782   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&size);CHKERRQ(ierr);
2783   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A),&rank);CHKERRQ(ierr);
2784 
2785   bs  = A->rmap->bs;
2786   mbs = a->mbs;
2787   Mbs = a->Mbs;
2788   ba  = b->a;
2789   bi  = b->i;
2790   bj  = b->j;
2791 
2792   /* find ownerships */
2793   rowners_bs = A->rmap->range;
2794 
2795   /* each proc creates an array to be distributed */
2796   ierr = PetscMalloc1(bs*Mbs,&work);CHKERRQ(ierr);
2797   ierr = PetscMemzero(work,bs*Mbs*sizeof(PetscReal));CHKERRQ(ierr);
2798 
2799   /* row_max for B */
2800   if (rank != size-1) {
2801     for (i=0; i<mbs; i++) {
2802       ncols = bi[1] - bi[0]; bi++;
2803       brow  = bs*i;
2804       for (j=0; j<ncols; j++) {
2805         bcol = bs*(*bj);
2806         for (kcol=0; kcol<bs; kcol++) {
2807           col  = bcol + kcol;                /* local col index */
2808           col += rowners_bs[rank+1];      /* global col index */
2809           for (krow=0; krow<bs; krow++) {
2810             atmp = PetscAbsScalar(*ba); ba++;
2811             row  = brow + krow;   /* local row index */
2812             if (PetscRealPart(va[row]) < atmp) va[row] = atmp;
2813             if (work[col] < atmp) work[col] = atmp;
2814           }
2815         }
2816         bj++;
2817       }
2818     }
2819 
2820     /* send values to its owners */
2821     for (dest=rank+1; dest<size; dest++) {
2822       svalues = work + rowners_bs[dest];
2823       count   = rowners_bs[dest+1]-rowners_bs[dest];
2824       ierr    = MPI_Send(svalues,count,MPIU_REAL,dest,rank,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2825     }
2826   }
2827 
2828   /* receive values */
2829   if (rank) {
2830     rvalues = work;
2831     count   = rowners_bs[rank+1]-rowners_bs[rank];
2832     for (source=0; source<rank; source++) {
2833       ierr = MPI_Recv(rvalues,count,MPIU_REAL,MPI_ANY_SOURCE,MPI_ANY_TAG,PetscObjectComm((PetscObject)A),&stat);CHKERRQ(ierr);
2834       /* process values */
2835       for (i=0; i<count; i++) {
2836         if (PetscRealPart(va[i]) < rvalues[i]) va[i] = rvalues[i];
2837       }
2838     }
2839   }
2840 
2841   ierr = VecRestoreArray(v,&va);CHKERRQ(ierr);
2842   ierr = PetscFree(work);CHKERRQ(ierr);
2843   PetscFunctionReturn(0);
2844 }
2845 
2846 #undef __FUNCT__
2847 #define __FUNCT__ "MatSOR_MPISBAIJ"
2848 PetscErrorCode MatSOR_MPISBAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2849 {
2850   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)matin->data;
2851   PetscErrorCode    ierr;
2852   PetscInt          mbs=mat->mbs,bs=matin->rmap->bs;
2853   PetscScalar       *x,*ptr,*from;
2854   Vec               bb1;
2855   const PetscScalar *b;
2856 
2857   PetscFunctionBegin;
2858   if (its <= 0 || lits <= 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
2859   if (bs > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2860 
2861   if (flag == SOR_APPLY_UPPER) {
2862     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2863     PetscFunctionReturn(0);
2864   }
2865 
2866   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
2867     if (flag & SOR_ZERO_INITIAL_GUESS) {
2868       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2869       its--;
2870     }
2871 
2872     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2873     while (its--) {
2874 
2875       /* lower triangular part: slvec0b = - B^T*xx */
2876       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2877 
2878       /* copy xx into slvec0a */
2879       ierr = VecGetArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2880       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2881       ierr = PetscMemcpy(ptr,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2882       ierr = VecRestoreArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2883 
2884       ierr = VecScale(mat->slvec0,-1.0);CHKERRQ(ierr);
2885 
2886       /* copy bb into slvec1a */
2887       ierr = VecGetArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2888       ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
2889       ierr = PetscMemcpy(ptr,b,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2890       ierr = VecRestoreArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2891 
2892       /* set slvec1b = 0 */
2893       ierr = VecSet(mat->slvec1b,0.0);CHKERRQ(ierr);
2894 
2895       ierr = VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2896       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2897       ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
2898       ierr = VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2899 
2900       /* upper triangular part: bb1 = bb1 - B*x */
2901       ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,bb1);CHKERRQ(ierr);
2902 
2903       /* local diagonal sweep */
2904       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
2905     }
2906     ierr = VecDestroy(&bb1);CHKERRQ(ierr);
2907   } else if ((flag & SOR_LOCAL_FORWARD_SWEEP) && (its == 1) && (flag & SOR_ZERO_INITIAL_GUESS)) {
2908     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2909   } else if ((flag & SOR_LOCAL_BACKWARD_SWEEP) && (its == 1) && (flag & SOR_ZERO_INITIAL_GUESS)) {
2910     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2911   } else if (flag & SOR_EISENSTAT) {
2912     Vec               xx1;
2913     PetscBool         hasop;
2914     const PetscScalar *diag;
2915     PetscScalar       *sl,scale = (omega - 2.0)/omega;
2916     PetscInt          i,n;
2917 
2918     if (!mat->xx1) {
2919       ierr = VecDuplicate(bb,&mat->xx1);CHKERRQ(ierr);
2920       ierr = VecDuplicate(bb,&mat->bb1);CHKERRQ(ierr);
2921     }
2922     xx1 = mat->xx1;
2923     bb1 = mat->bb1;
2924 
2925     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,(MatSORType)(SOR_ZERO_INITIAL_GUESS | SOR_LOCAL_BACKWARD_SWEEP),fshift,lits,1,xx);CHKERRQ(ierr);
2926 
2927     if (!mat->diag) {
2928       /* this is wrong for same matrix with new nonzero values */
2929       ierr = MatCreateVecs(matin,&mat->diag,NULL);CHKERRQ(ierr);
2930       ierr = MatGetDiagonal(matin,mat->diag);CHKERRQ(ierr);
2931     }
2932     ierr = MatHasOperation(matin,MATOP_MULT_DIAGONAL_BLOCK,&hasop);CHKERRQ(ierr);
2933 
2934     if (hasop) {
2935       ierr = MatMultDiagonalBlock(matin,xx,bb1);CHKERRQ(ierr);
2936       ierr = VecAYPX(mat->slvec1a,scale,bb);CHKERRQ(ierr);
2937     } else {
2938       /*
2939           These two lines are replaced by code that may be a bit faster for a good compiler
2940       ierr = VecPointwiseMult(mat->slvec1a,mat->diag,xx);CHKERRQ(ierr);
2941       ierr = VecAYPX(mat->slvec1a,scale,bb);CHKERRQ(ierr);
2942       */
2943       ierr = VecGetArray(mat->slvec1a,&sl);CHKERRQ(ierr);
2944       ierr = VecGetArrayRead(mat->diag,&diag);CHKERRQ(ierr);
2945       ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
2946       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2947       ierr = VecGetLocalSize(xx,&n);CHKERRQ(ierr);
2948       if (omega == 1.0) {
2949         for (i=0; i<n; i++) sl[i] = b[i] - diag[i]*x[i];
2950         ierr = PetscLogFlops(2.0*n);CHKERRQ(ierr);
2951       } else {
2952         for (i=0; i<n; i++) sl[i] = b[i] + scale*diag[i]*x[i];
2953         ierr = PetscLogFlops(3.0*n);CHKERRQ(ierr);
2954       }
2955       ierr = VecRestoreArray(mat->slvec1a,&sl);CHKERRQ(ierr);
2956       ierr = VecRestoreArrayRead(mat->diag,&diag);CHKERRQ(ierr);
2957       ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
2958       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2959     }
2960 
2961     /* multiply off-diagonal portion of matrix */
2962     ierr = VecSet(mat->slvec1b,0.0);CHKERRQ(ierr);
2963     ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2964     ierr = VecGetArray(mat->slvec0,&from);CHKERRQ(ierr);
2965     ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2966     ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2967     ierr = VecRestoreArray(mat->slvec0,&from);CHKERRQ(ierr);
2968     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2969     ierr = VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2970     ierr = VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2971     ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,mat->slvec1a);CHKERRQ(ierr);
2972 
2973     /* local sweep */
2974     ierr = (*mat->A->ops->sor)(mat->A,mat->slvec1a,omega,(MatSORType)(SOR_ZERO_INITIAL_GUESS | SOR_LOCAL_FORWARD_SWEEP),fshift,lits,1,xx1);CHKERRQ(ierr);
2975     ierr = VecAXPY(xx,1.0,xx1);CHKERRQ(ierr);
2976   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
2977   PetscFunctionReturn(0);
2978 }
2979 
2980 #undef __FUNCT__
2981 #define __FUNCT__ "MatSOR_MPISBAIJ_2comm"
2982 PetscErrorCode MatSOR_MPISBAIJ_2comm(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2983 {
2984   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
2985   PetscErrorCode ierr;
2986   Vec            lvec1,bb1;
2987 
2988   PetscFunctionBegin;
2989   if (its <= 0 || lits <= 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
2990   if (matin->rmap->bs > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2991 
2992   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
2993     if (flag & SOR_ZERO_INITIAL_GUESS) {
2994       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2995       its--;
2996     }
2997 
2998     ierr = VecDuplicate(mat->lvec,&lvec1);CHKERRQ(ierr);
2999     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
3000     while (its--) {
3001       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
3002 
3003       /* lower diagonal part: bb1 = bb - B^T*xx */
3004       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,lvec1);CHKERRQ(ierr);
3005       ierr = VecScale(lvec1,-1.0);CHKERRQ(ierr);
3006 
3007       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
3008       ierr = VecCopy(bb,bb1);CHKERRQ(ierr);
3009       ierr = VecScatterBegin(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
3010 
3011       /* upper diagonal part: bb1 = bb1 - B*x */
3012       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
3013       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb1,bb1);CHKERRQ(ierr);
3014 
3015       ierr = VecScatterEnd(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
3016 
3017       /* diagonal sweep */
3018       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
3019     }
3020     ierr = VecDestroy(&lvec1);CHKERRQ(ierr);
3021     ierr = VecDestroy(&bb1);CHKERRQ(ierr);
3022   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
3023   PetscFunctionReturn(0);
3024 }
3025 
3026 #undef __FUNCT__
3027 #define __FUNCT__ "MatCreateMPISBAIJWithArrays"
3028 /*@
3029      MatCreateMPISBAIJWithArrays - creates a MPI SBAIJ matrix using arrays that contain in standard
3030          CSR format the local rows.
3031 
3032    Collective on MPI_Comm
3033 
3034    Input Parameters:
3035 +  comm - MPI communicator
3036 .  bs - the block size, only a block size of 1 is supported
3037 .  m - number of local rows (Cannot be PETSC_DECIDE)
3038 .  n - This value should be the same as the local size used in creating the
3039        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
3040        calculated if N is given) For square matrices n is almost always m.
3041 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
3042 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
3043 .   i - row indices
3044 .   j - column indices
3045 -   a - matrix values
3046 
3047    Output Parameter:
3048 .   mat - the matrix
3049 
3050    Level: intermediate
3051 
3052    Notes:
3053        The i, j, and a arrays ARE copied by this routine into the internal format used by PETSc;
3054      thus you CANNOT change the matrix entries by changing the values of a[] after you have
3055      called this routine. Use MatCreateMPIAIJWithSplitArrays() to avoid needing to copy the arrays.
3056 
3057        The i and j indices are 0 based, and i indices are indices corresponding to the local j array.
3058 
3059 .keywords: matrix, aij, compressed row, sparse, parallel
3060 
3061 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
3062           MPIAIJ, MatCreateAIJ(), MatCreateMPIAIJWithSplitArrays()
3063 @*/
3064 PetscErrorCode  MatCreateMPISBAIJWithArrays(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt i[],const PetscInt j[],const PetscScalar a[],Mat *mat)
3065 {
3066   PetscErrorCode ierr;
3067 
3068 
3069   PetscFunctionBegin;
3070   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
3071   if (m < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"local number of rows (m) cannot be PETSC_DECIDE, or negative");
3072   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
3073   ierr = MatSetSizes(*mat,m,n,M,N);CHKERRQ(ierr);
3074   ierr = MatSetType(*mat,MATMPISBAIJ);CHKERRQ(ierr);
3075   ierr = MatMPISBAIJSetPreallocationCSR(*mat,bs,i,j,a);CHKERRQ(ierr);
3076   PetscFunctionReturn(0);
3077 }
3078 
3079 
3080 #undef __FUNCT__
3081 #define __FUNCT__ "MatMPISBAIJSetPreallocationCSR"
3082 /*@C
3083    MatMPISBAIJSetPreallocationCSR - Allocates memory for a sparse parallel matrix in BAIJ format
3084    (the default parallel PETSc format).
3085 
3086    Collective on MPI_Comm
3087 
3088    Input Parameters:
3089 +  B - the matrix
3090 .  bs - the block size
3091 .  i - the indices into j for the start of each local row (starts with zero)
3092 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
3093 -  v - optional values in the matrix
3094 
3095    Level: developer
3096 
3097 .keywords: matrix, aij, compressed row, sparse, parallel
3098 
3099 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIBAIJSetPreallocation(), MatCreateAIJ(), MPIAIJ
3100 @*/
3101 PetscErrorCode  MatMPISBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
3102 {
3103   PetscErrorCode ierr;
3104 
3105   PetscFunctionBegin;
3106   ierr = PetscTryMethod(B,"MatMPISBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));CHKERRQ(ierr);
3107   PetscFunctionReturn(0);
3108 }
3109 
3110 #undef __FUNCT__
3111 #define __FUNCT__ "MatCreateMPIMatConcatenateSeqMat_MPISBAIJ"
3112 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_MPISBAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
3113 {
3114   PetscErrorCode ierr;
3115   PetscInt       m,N,i,rstart,nnz,Ii,bs,cbs;
3116   PetscInt       *indx;
3117   PetscScalar    *values;
3118 
3119   PetscFunctionBegin;
3120   ierr = MatGetSize(inmat,&m,&N);CHKERRQ(ierr);
3121   if (scall == MAT_INITIAL_MATRIX) { /* symbolic phase */
3122     Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)inmat->data;
3123     PetscInt       *dnz,*onz,sum,bs,cbs,mbs,Nbs;
3124     PetscInt       *bindx,rmax=a->rmax,j;
3125 
3126     ierr = MatGetBlockSizes(inmat,&bs,&cbs);CHKERRQ(ierr);
3127     mbs = m/bs; Nbs = N/cbs;
3128     if (n == PETSC_DECIDE) {
3129       ierr = PetscSplitOwnership(comm,&n,&Nbs);CHKERRQ(ierr);
3130     }
3131     /* Check sum(n) = Nbs */
3132     ierr = MPI_Allreduce(&n,&sum,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
3133     if (sum != Nbs) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Sum of local columns != global columns %d",Nbs);
3134 
3135     ierr    = MPI_Scan(&mbs, &rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
3136     rstart -= mbs;
3137 
3138     ierr = PetscMalloc1(rmax,&bindx);CHKERRQ(ierr);
3139     ierr = MatPreallocateInitialize(comm,mbs,n,dnz,onz);CHKERRQ(ierr);
3140     ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
3141     for (i=0; i<mbs; i++) {
3142       ierr = MatGetRow_SeqSBAIJ(inmat,i*bs,&nnz,&indx,NULL);CHKERRQ(ierr); /* non-blocked nnz and indx */
3143       nnz = nnz/bs;
3144       for (j=0; j<nnz; j++) bindx[j] = indx[j*bs]/bs;
3145       ierr = MatPreallocateSet(i+rstart,nnz,bindx,dnz,onz);CHKERRQ(ierr);
3146       ierr = MatRestoreRow_SeqSBAIJ(inmat,i*bs,&nnz,&indx,NULL);CHKERRQ(ierr);
3147     }
3148     ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_FALSE);CHKERRQ(ierr);
3149     ierr = PetscFree(bindx);CHKERRQ(ierr);
3150 
3151     ierr = MatCreate(comm,outmat);CHKERRQ(ierr);
3152     ierr = MatSetSizes(*outmat,m,n*bs,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
3153     ierr = MatSetBlockSizes(*outmat,bs,cbs);CHKERRQ(ierr);
3154     ierr = MatSetType(*outmat,MATMPISBAIJ);CHKERRQ(ierr);
3155     ierr = MatMPISBAIJSetPreallocation(*outmat,bs,0,dnz,0,onz);CHKERRQ(ierr);
3156     ierr = MatPreallocateFinalize(dnz,onz);CHKERRQ(ierr);
3157   }
3158 
3159   /* numeric phase */
3160   ierr = MatGetBlockSizes(inmat,&bs,&cbs);CHKERRQ(ierr);
3161   ierr = MatGetOwnershipRange(*outmat,&rstart,NULL);CHKERRQ(ierr);
3162 
3163   ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
3164   for (i=0; i<m; i++) {
3165     ierr = MatGetRow_SeqSBAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
3166     Ii   = i + rstart;
3167     ierr = MatSetValues(*outmat,1,&Ii,nnz,indx,values,INSERT_VALUES);CHKERRQ(ierr);
3168     ierr = MatRestoreRow_SeqSBAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
3169   }
3170   ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_FALSE);CHKERRQ(ierr);
3171   ierr = MatAssemblyBegin(*outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3172   ierr = MatAssemblyEnd(*outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3173   PetscFunctionReturn(0);
3174 }
3175