xref: /petsc/src/mat/impls/sbaij/mpi/mpisbaij.c (revision 573cc12f4ca2bdf14ebfa7bb9814c5ed81ca4f2a)
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 /* -------------------------------------------------------------------*/
1726 static struct _MatOps MatOps_Values = {MatSetValues_MPISBAIJ,
1727                                        MatGetRow_MPISBAIJ,
1728                                        MatRestoreRow_MPISBAIJ,
1729                                        MatMult_MPISBAIJ,
1730                                /*  4*/ MatMultAdd_MPISBAIJ,
1731                                        MatMult_MPISBAIJ,       /* transpose versions are same as non-transpose */
1732                                        MatMultAdd_MPISBAIJ,
1733                                        0,
1734                                        0,
1735                                        0,
1736                                /* 10*/ 0,
1737                                        0,
1738                                        0,
1739                                        MatSOR_MPISBAIJ,
1740                                        MatTranspose_MPISBAIJ,
1741                                /* 15*/ MatGetInfo_MPISBAIJ,
1742                                        MatEqual_MPISBAIJ,
1743                                        MatGetDiagonal_MPISBAIJ,
1744                                        MatDiagonalScale_MPISBAIJ,
1745                                        MatNorm_MPISBAIJ,
1746                                /* 20*/ MatAssemblyBegin_MPISBAIJ,
1747                                        MatAssemblyEnd_MPISBAIJ,
1748                                        MatSetOption_MPISBAIJ,
1749                                        MatZeroEntries_MPISBAIJ,
1750                                /* 24*/ 0,
1751                                        0,
1752                                        0,
1753                                        0,
1754                                        0,
1755                                /* 29*/ MatSetUp_MPISBAIJ,
1756                                        0,
1757                                        0,
1758                                        0,
1759                                        0,
1760                                /* 34*/ MatDuplicate_MPISBAIJ,
1761                                        0,
1762                                        0,
1763                                        0,
1764                                        0,
1765                                /* 39*/ MatAXPY_MPISBAIJ,
1766                                        MatGetSubMatrices_MPISBAIJ,
1767                                        MatIncreaseOverlap_MPISBAIJ,
1768                                        MatGetValues_MPISBAIJ,
1769                                        MatCopy_MPISBAIJ,
1770                                /* 44*/ 0,
1771                                        MatScale_MPISBAIJ,
1772                                        0,
1773                                        0,
1774                                        0,
1775                                /* 49*/ 0,
1776                                        0,
1777                                        0,
1778                                        0,
1779                                        0,
1780                                /* 54*/ 0,
1781                                        0,
1782                                        MatSetUnfactored_MPISBAIJ,
1783                                        0,
1784                                        MatSetValuesBlocked_MPISBAIJ,
1785                                /* 59*/ MatGetSubMatrix_MPISBAIJ,
1786                                        0,
1787                                        0,
1788                                        0,
1789                                        0,
1790                                /* 64*/ 0,
1791                                        0,
1792                                        0,
1793                                        0,
1794                                        0,
1795                                /* 69*/ MatGetRowMaxAbs_MPISBAIJ,
1796                                        0,
1797                                        0,
1798                                        0,
1799                                        0,
1800                                /* 74*/ 0,
1801                                        0,
1802                                        0,
1803                                        0,
1804                                        0,
1805                                /* 79*/ 0,
1806                                        0,
1807                                        0,
1808                                        0,
1809                                        MatLoad_MPISBAIJ,
1810                                /* 84*/ 0,
1811                                        0,
1812                                        0,
1813                                        0,
1814                                        0,
1815                                /* 89*/ 0,
1816                                        0,
1817                                        0,
1818                                        0,
1819                                        0,
1820                                /* 94*/ 0,
1821                                        0,
1822                                        0,
1823                                        0,
1824                                        0,
1825                                /* 99*/ 0,
1826                                        0,
1827                                        0,
1828                                        0,
1829                                        0,
1830                                /*104*/ 0,
1831                                        MatRealPart_MPISBAIJ,
1832                                        MatImaginaryPart_MPISBAIJ,
1833                                        MatGetRowUpperTriangular_MPISBAIJ,
1834                                        MatRestoreRowUpperTriangular_MPISBAIJ,
1835                                /*109*/ 0,
1836                                        0,
1837                                        0,
1838                                        0,
1839                                        0,
1840                                /*114*/ 0,
1841                                        0,
1842                                        0,
1843                                        0,
1844                                        0,
1845                                /*119*/ 0,
1846                                        0,
1847                                        0,
1848                                        0,
1849                                        0,
1850                                /*124*/ 0,
1851                                        0,
1852                                        0,
1853                                        0,
1854                                        0,
1855                                /*129*/ 0,
1856                                        0,
1857                                        0,
1858                                        0,
1859                                        0,
1860                                /*134*/ 0,
1861                                        0,
1862                                        0,
1863                                        0,
1864                                        0,
1865                                /*139*/ 0,
1866                                        0,
1867                                        0,
1868                                        0,
1869                                        0,
1870                                 /*144*/MatCreateMPIMatConcatenateSeqMat_MPISBAIJ
1871 };
1872 
1873 #undef __FUNCT__
1874 #define __FUNCT__ "MatGetDiagonalBlock_MPISBAIJ"
1875 PetscErrorCode  MatGetDiagonalBlock_MPISBAIJ(Mat A,Mat *a)
1876 {
1877   PetscFunctionBegin;
1878   *a = ((Mat_MPISBAIJ*)A->data)->A;
1879   PetscFunctionReturn(0);
1880 }
1881 
1882 #undef __FUNCT__
1883 #define __FUNCT__ "MatMPISBAIJSetPreallocation_MPISBAIJ"
1884 PetscErrorCode  MatMPISBAIJSetPreallocation_MPISBAIJ(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt *d_nnz,PetscInt o_nz,const PetscInt *o_nnz)
1885 {
1886   Mat_MPISBAIJ   *b;
1887   PetscErrorCode ierr;
1888   PetscInt       i,mbs,Mbs;
1889 
1890   PetscFunctionBegin;
1891   ierr = MatSetBlockSize(B,PetscAbs(bs));CHKERRQ(ierr);
1892   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1893   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1894   ierr = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
1895 
1896   b   = (Mat_MPISBAIJ*)B->data;
1897   mbs = B->rmap->n/bs;
1898   Mbs = B->rmap->N/bs;
1899   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);
1900 
1901   B->rmap->bs = bs;
1902   b->bs2      = bs*bs;
1903   b->mbs      = mbs;
1904   b->Mbs      = Mbs;
1905   b->nbs      = B->cmap->n/bs;
1906   b->Nbs      = B->cmap->N/bs;
1907 
1908   for (i=0; i<=b->size; i++) {
1909     b->rangebs[i] = B->rmap->range[i]/bs;
1910   }
1911   b->rstartbs = B->rmap->rstart/bs;
1912   b->rendbs   = B->rmap->rend/bs;
1913 
1914   b->cstartbs = B->cmap->rstart/bs;
1915   b->cendbs   = B->cmap->rend/bs;
1916 
1917   if (!B->preallocated) {
1918     ierr = MatCreate(PETSC_COMM_SELF,&b->A);CHKERRQ(ierr);
1919     ierr = MatSetSizes(b->A,B->rmap->n,B->cmap->n,B->rmap->n,B->cmap->n);CHKERRQ(ierr);
1920     ierr = MatSetType(b->A,MATSEQSBAIJ);CHKERRQ(ierr);
1921     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->A);CHKERRQ(ierr);
1922     ierr = MatCreate(PETSC_COMM_SELF,&b->B);CHKERRQ(ierr);
1923     ierr = MatSetSizes(b->B,B->rmap->n,B->cmap->N,B->rmap->n,B->cmap->N);CHKERRQ(ierr);
1924     ierr = MatSetType(b->B,MATSEQBAIJ);CHKERRQ(ierr);
1925     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->B);CHKERRQ(ierr);
1926     ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),bs,&B->bstash);CHKERRQ(ierr);
1927   }
1928 
1929   ierr = MatSeqSBAIJSetPreallocation(b->A,bs,d_nz,d_nnz);CHKERRQ(ierr);
1930   ierr = MatSeqBAIJSetPreallocation(b->B,bs,o_nz,o_nnz);CHKERRQ(ierr);
1931 
1932   B->preallocated = PETSC_TRUE;
1933   PetscFunctionReturn(0);
1934 }
1935 
1936 #undef __FUNCT__
1937 #define __FUNCT__ "MatMPISBAIJSetPreallocationCSR_MPISBAIJ"
1938 PetscErrorCode MatMPISBAIJSetPreallocationCSR_MPISBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
1939 {
1940   PetscInt       m,rstart,cstart,cend;
1941   PetscInt       i,j,d,nz,nz_max=0,*d_nnz=0,*o_nnz=0;
1942   const PetscInt *JJ    =0;
1943   PetscScalar    *values=0;
1944   PetscErrorCode ierr;
1945 
1946   PetscFunctionBegin;
1947   if (bs < 1) SETERRQ1(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive but it is %D",bs);
1948   ierr   = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
1949   ierr   = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
1950   ierr   = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1951   ierr   = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1952   ierr   = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
1953   m      = B->rmap->n/bs;
1954   rstart = B->rmap->rstart/bs;
1955   cstart = B->cmap->rstart/bs;
1956   cend   = B->cmap->rend/bs;
1957 
1958   if (ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"ii[0] must be 0 but it is %D",ii[0]);
1959   ierr = PetscMalloc2(m,&d_nnz,m,&o_nnz);CHKERRQ(ierr);
1960   for (i=0; i<m; i++) {
1961     nz = ii[i+1] - ii[i];
1962     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Local row %D has a negative number of columns %D",i,nz);
1963     nz_max = PetscMax(nz_max,nz);
1964     JJ     = jj + ii[i];
1965     for (j=0; j<nz; j++) {
1966       if (*JJ >= cstart) break;
1967       JJ++;
1968     }
1969     d = 0;
1970     for (; j<nz; j++) {
1971       if (*JJ++ >= cend) break;
1972       d++;
1973     }
1974     d_nnz[i] = d;
1975     o_nnz[i] = nz - d;
1976   }
1977   ierr = MatMPISBAIJSetPreallocation(B,bs,0,d_nnz,0,o_nnz);CHKERRQ(ierr);
1978   ierr = PetscFree2(d_nnz,o_nnz);CHKERRQ(ierr);
1979 
1980   values = (PetscScalar*)V;
1981   if (!values) {
1982     ierr = PetscMalloc1(bs*bs*nz_max,&values);CHKERRQ(ierr);
1983     ierr = PetscMemzero(values,bs*bs*nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
1984   }
1985   for (i=0; i<m; i++) {
1986     PetscInt          row    = i + rstart;
1987     PetscInt          ncols  = ii[i+1] - ii[i];
1988     const PetscInt    *icols = jj + ii[i];
1989     const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
1990     ierr = MatSetValuesBlocked_MPISBAIJ(B,1,&row,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
1991   }
1992 
1993   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
1994   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1995   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1996   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
1997   PetscFunctionReturn(0);
1998 }
1999 
2000 /*MC
2001    MATMPISBAIJ - MATMPISBAIJ = "mpisbaij" - A matrix type to be used for distributed symmetric sparse block matrices,
2002    based on block compressed sparse row format.  Only the upper triangular portion of the "diagonal" portion of
2003    the matrix is stored.
2004 
2005   For complex numbers by default this matrix is symmetric, NOT Hermitian symmetric. To make it Hermitian symmetric you
2006   can call MatSetOption(Mat, MAT_HERMITIAN);
2007 
2008    Options Database Keys:
2009 . -mat_type mpisbaij - sets the matrix type to "mpisbaij" during a call to MatSetFromOptions()
2010 
2011   Level: beginner
2012 
2013 .seealso: MatCreateMPISBAIJ
2014 M*/
2015 
2016 PETSC_EXTERN PetscErrorCode MatConvert_MPISBAIJ_MPISBSTRM(Mat,MatType,MatReuse,Mat*);
2017 
2018 #undef __FUNCT__
2019 #define __FUNCT__ "MatCreate_MPISBAIJ"
2020 PETSC_EXTERN PetscErrorCode MatCreate_MPISBAIJ(Mat B)
2021 {
2022   Mat_MPISBAIJ   *b;
2023   PetscErrorCode ierr;
2024   PetscBool      flg = PETSC_FALSE;
2025 
2026   PetscFunctionBegin;
2027   ierr    = PetscNewLog(B,&b);CHKERRQ(ierr);
2028   B->data = (void*)b;
2029   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
2030 
2031   B->ops->destroy = MatDestroy_MPISBAIJ;
2032   B->ops->view    = MatView_MPISBAIJ;
2033   B->assembled    = PETSC_FALSE;
2034   B->insertmode   = NOT_SET_VALUES;
2035 
2036   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)B),&b->rank);CHKERRQ(ierr);
2037   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&b->size);CHKERRQ(ierr);
2038 
2039   /* build local table of row and column ownerships */
2040   ierr = PetscMalloc1(b->size+2,&b->rangebs);CHKERRQ(ierr);
2041 
2042   /* build cache for off array entries formed */
2043   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),1,&B->stash);CHKERRQ(ierr);
2044 
2045   b->donotstash  = PETSC_FALSE;
2046   b->colmap      = NULL;
2047   b->garray      = NULL;
2048   b->roworiented = PETSC_TRUE;
2049 
2050   /* stuff used in block assembly */
2051   b->barray = 0;
2052 
2053   /* stuff used for matrix vector multiply */
2054   b->lvec    = 0;
2055   b->Mvctx   = 0;
2056   b->slvec0  = 0;
2057   b->slvec0b = 0;
2058   b->slvec1  = 0;
2059   b->slvec1a = 0;
2060   b->slvec1b = 0;
2061   b->sMvctx  = 0;
2062 
2063   /* stuff for MatGetRow() */
2064   b->rowindices   = 0;
2065   b->rowvalues    = 0;
2066   b->getrowactive = PETSC_FALSE;
2067 
2068   /* hash table stuff */
2069   b->ht           = 0;
2070   b->hd           = 0;
2071   b->ht_size      = 0;
2072   b->ht_flag      = PETSC_FALSE;
2073   b->ht_fact      = 0;
2074   b->ht_total_ct  = 0;
2075   b->ht_insert_ct = 0;
2076 
2077   /* stuff for MatGetSubMatrices_MPIBAIJ_local() */
2078   b->ijonly = PETSC_FALSE;
2079 
2080   b->in_loc = 0;
2081   b->v_loc  = 0;
2082   b->n_loc  = 0;
2083 
2084   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_MPISBAIJ);CHKERRQ(ierr);
2085   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_MPISBAIJ);CHKERRQ(ierr);
2086   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetDiagonalBlock_C",MatGetDiagonalBlock_MPISBAIJ);CHKERRQ(ierr);
2087   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPISBAIJSetPreallocation_C",MatMPISBAIJSetPreallocation_MPISBAIJ);CHKERRQ(ierr);
2088   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPISBAIJSetPreallocationCSR_C",MatMPISBAIJSetPreallocationCSR_MPISBAIJ);CHKERRQ(ierr);
2089   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpisbaij_mpisbstrm_C",MatConvert_MPISBAIJ_MPISBSTRM);CHKERRQ(ierr);
2090 #if defined(PETSC_HAVE_ELEMENTAL)
2091   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpisbaij_elemental_C",MatConvert_MPISBAIJ_Elemental);CHKERRQ(ierr);
2092 #endif
2093 
2094   B->symmetric                  = PETSC_TRUE;
2095   B->structurally_symmetric     = PETSC_TRUE;
2096   B->symmetric_set              = PETSC_TRUE;
2097   B->structurally_symmetric_set = PETSC_TRUE;
2098 
2099   ierr = PetscObjectChangeTypeName((PetscObject)B,MATMPISBAIJ);CHKERRQ(ierr);
2100   ierr      = PetscOptionsBegin(PetscObjectComm((PetscObject)B),NULL,"Options for loading MPISBAIJ matrix 1","Mat");CHKERRQ(ierr);
2101   ierr      = PetscOptionsBool("-mat_use_hash_table","Use hash table to save memory in constructing matrix","MatSetOption",flg,&flg,NULL);CHKERRQ(ierr);
2102   if (flg) {
2103     PetscReal fact = 1.39;
2104     ierr = MatSetOption(B,MAT_USE_HASH_TABLE,PETSC_TRUE);CHKERRQ(ierr);
2105     ierr = PetscOptionsReal("-mat_use_hash_table","Use hash table factor","MatMPIBAIJSetHashTableFactor",fact,&fact,NULL);CHKERRQ(ierr);
2106     if (fact <= 1.0) fact = 1.39;
2107     ierr = MatMPIBAIJSetHashTableFactor(B,fact);CHKERRQ(ierr);
2108     ierr = PetscInfo1(B,"Hash table Factor used %5.2f\n",fact);CHKERRQ(ierr);
2109   }
2110   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2111   PetscFunctionReturn(0);
2112 }
2113 
2114 /*MC
2115    MATSBAIJ - MATSBAIJ = "sbaij" - A matrix type to be used for symmetric block sparse matrices.
2116 
2117    This matrix type is identical to MATSEQSBAIJ when constructed with a single process communicator,
2118    and MATMPISBAIJ otherwise.
2119 
2120    Options Database Keys:
2121 . -mat_type sbaij - sets the matrix type to "sbaij" during a call to MatSetFromOptions()
2122 
2123   Level: beginner
2124 
2125 .seealso: MatCreateMPISBAIJ,MATSEQSBAIJ,MATMPISBAIJ
2126 M*/
2127 
2128 #undef __FUNCT__
2129 #define __FUNCT__ "MatMPISBAIJSetPreallocation"
2130 /*@C
2131    MatMPISBAIJSetPreallocation - For good matrix assembly performance
2132    the user should preallocate the matrix storage by setting the parameters
2133    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
2134    performance can be increased by more than a factor of 50.
2135 
2136    Collective on Mat
2137 
2138    Input Parameters:
2139 +  B - the matrix
2140 .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
2141           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
2142 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
2143            submatrix  (same for all local rows)
2144 .  d_nnz - array containing the number of block nonzeros in the various block rows
2145            in the upper triangular and diagonal part of the in diagonal portion of the local
2146            (possibly different for each block row) or NULL.  If you plan to factor the matrix you must leave room
2147            for the diagonal entry and set a value even if it is zero.
2148 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
2149            submatrix (same for all local rows).
2150 -  o_nnz - array containing the number of nonzeros in the various block rows of the
2151            off-diagonal portion of the local submatrix that is right of the diagonal
2152            (possibly different for each block row) or NULL.
2153 
2154 
2155    Options Database Keys:
2156 .   -mat_no_unroll - uses code that does not unroll the loops in the
2157                      block calculations (much slower)
2158 .   -mat_block_size - size of the blocks to use
2159 
2160    Notes:
2161 
2162    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
2163    than it must be used on all processors that share the object for that argument.
2164 
2165    If the *_nnz parameter is given then the *_nz parameter is ignored
2166 
2167    Storage Information:
2168    For a square global matrix we define each processor's diagonal portion
2169    to be its local rows and the corresponding columns (a square submatrix);
2170    each processor's off-diagonal portion encompasses the remainder of the
2171    local matrix (a rectangular submatrix).
2172 
2173    The user can specify preallocated storage for the diagonal part of
2174    the local submatrix with either d_nz or d_nnz (not both).  Set
2175    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
2176    memory allocation.  Likewise, specify preallocated storage for the
2177    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
2178 
2179    You can call MatGetInfo() to get information on how effective the preallocation was;
2180    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
2181    You can also run with the option -info and look for messages with the string
2182    malloc in them to see if additional memory allocation was needed.
2183 
2184    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
2185    the figure below we depict these three local rows and all columns (0-11).
2186 
2187 .vb
2188            0 1 2 3 4 5 6 7 8 9 10 11
2189           --------------------------
2190    row 3  |. . . d d d o o o o  o  o
2191    row 4  |. . . d d d o o o o  o  o
2192    row 5  |. . . d d d o o o o  o  o
2193           --------------------------
2194 .ve
2195 
2196    Thus, any entries in the d locations are stored in the d (diagonal)
2197    submatrix, and any entries in the o locations are stored in the
2198    o (off-diagonal) submatrix.  Note that the d matrix is stored in
2199    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
2200 
2201    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
2202    plus the diagonal part of the d matrix,
2203    and o_nz should indicate the number of block nonzeros per row in the o matrix
2204 
2205    In general, for PDE problems in which most nonzeros are near the diagonal,
2206    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
2207    or you will get TERRIBLE performance; see the users' manual chapter on
2208    matrices.
2209 
2210    Level: intermediate
2211 
2212 .keywords: matrix, block, aij, compressed row, sparse, parallel
2213 
2214 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateBAIJ(), PetscSplitOwnership()
2215 @*/
2216 PetscErrorCode  MatMPISBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
2217 {
2218   PetscErrorCode ierr;
2219 
2220   PetscFunctionBegin;
2221   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
2222   PetscValidType(B,1);
2223   PetscValidLogicalCollectiveInt(B,bs,2);
2224   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);
2225   PetscFunctionReturn(0);
2226 }
2227 
2228 #undef __FUNCT__
2229 #define __FUNCT__ "MatCreateSBAIJ"
2230 /*@C
2231    MatCreateSBAIJ - Creates a sparse parallel matrix in symmetric block AIJ format
2232    (block compressed row).  For good matrix assembly performance
2233    the user should preallocate the matrix storage by setting the parameters
2234    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
2235    performance can be increased by more than a factor of 50.
2236 
2237    Collective on MPI_Comm
2238 
2239    Input Parameters:
2240 +  comm - MPI communicator
2241 .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
2242           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
2243 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
2244            This value should be the same as the local size used in creating the
2245            y vector for the matrix-vector product y = Ax.
2246 .  n - number of local columns (or PETSC_DECIDE to have calculated if N is given)
2247            This value should be the same as the local size used in creating the
2248            x vector for the matrix-vector product y = Ax.
2249 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
2250 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
2251 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
2252            submatrix  (same for all local rows)
2253 .  d_nnz - array containing the number of block nonzeros in the various block rows
2254            in the upper triangular portion of the in diagonal portion of the local
2255            (possibly different for each block block row) or NULL.
2256            If you plan to factor the matrix you must leave room for the diagonal entry and
2257            set its value even if it is zero.
2258 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
2259            submatrix (same for all local rows).
2260 -  o_nnz - array containing the number of nonzeros in the various block rows of the
2261            off-diagonal portion of the local submatrix (possibly different for
2262            each block row) or NULL.
2263 
2264    Output Parameter:
2265 .  A - the matrix
2266 
2267    Options Database Keys:
2268 .   -mat_no_unroll - uses code that does not unroll the loops in the
2269                      block calculations (much slower)
2270 .   -mat_block_size - size of the blocks to use
2271 .   -mat_mpi - use the parallel matrix data structures even on one processor
2272                (defaults to using SeqBAIJ format on one processor)
2273 
2274    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
2275    MatXXXXSetPreallocation() paradgm instead of this routine directly.
2276    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
2277 
2278    Notes:
2279    The number of rows and columns must be divisible by blocksize.
2280    This matrix type does not support complex Hermitian operation.
2281 
2282    The user MUST specify either the local or global matrix dimensions
2283    (possibly both).
2284 
2285    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
2286    than it must be used on all processors that share the object for that argument.
2287 
2288    If the *_nnz parameter is given then the *_nz parameter is ignored
2289 
2290    Storage Information:
2291    For a square global matrix we define each processor's diagonal portion
2292    to be its local rows and the corresponding columns (a square submatrix);
2293    each processor's off-diagonal portion encompasses the remainder of the
2294    local matrix (a rectangular submatrix).
2295 
2296    The user can specify preallocated storage for the diagonal part of
2297    the local submatrix with either d_nz or d_nnz (not both).  Set
2298    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
2299    memory allocation.  Likewise, specify preallocated storage for the
2300    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
2301 
2302    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
2303    the figure below we depict these three local rows and all columns (0-11).
2304 
2305 .vb
2306            0 1 2 3 4 5 6 7 8 9 10 11
2307           --------------------------
2308    row 3  |. . . d d d o o o o  o  o
2309    row 4  |. . . d d d o o o o  o  o
2310    row 5  |. . . d d d o o o o  o  o
2311           --------------------------
2312 .ve
2313 
2314    Thus, any entries in the d locations are stored in the d (diagonal)
2315    submatrix, and any entries in the o locations are stored in the
2316    o (off-diagonal) submatrix.  Note that the d matrix is stored in
2317    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
2318 
2319    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
2320    plus the diagonal part of the d matrix,
2321    and o_nz should indicate the number of block nonzeros per row in the o matrix.
2322    In general, for PDE problems in which most nonzeros are near the diagonal,
2323    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
2324    or you will get TERRIBLE performance; see the users' manual chapter on
2325    matrices.
2326 
2327    Level: intermediate
2328 
2329 .keywords: matrix, block, aij, compressed row, sparse, parallel
2330 
2331 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateBAIJ()
2332 @*/
2333 
2334 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)
2335 {
2336   PetscErrorCode ierr;
2337   PetscMPIInt    size;
2338 
2339   PetscFunctionBegin;
2340   ierr = MatCreate(comm,A);CHKERRQ(ierr);
2341   ierr = MatSetSizes(*A,m,n,M,N);CHKERRQ(ierr);
2342   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2343   if (size > 1) {
2344     ierr = MatSetType(*A,MATMPISBAIJ);CHKERRQ(ierr);
2345     ierr = MatMPISBAIJSetPreallocation(*A,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
2346   } else {
2347     ierr = MatSetType(*A,MATSEQSBAIJ);CHKERRQ(ierr);
2348     ierr = MatSeqSBAIJSetPreallocation(*A,bs,d_nz,d_nnz);CHKERRQ(ierr);
2349   }
2350   PetscFunctionReturn(0);
2351 }
2352 
2353 
2354 #undef __FUNCT__
2355 #define __FUNCT__ "MatDuplicate_MPISBAIJ"
2356 static PetscErrorCode MatDuplicate_MPISBAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
2357 {
2358   Mat            mat;
2359   Mat_MPISBAIJ   *a,*oldmat = (Mat_MPISBAIJ*)matin->data;
2360   PetscErrorCode ierr;
2361   PetscInt       len=0,nt,bs=matin->rmap->bs,mbs=oldmat->mbs;
2362   PetscScalar    *array;
2363 
2364   PetscFunctionBegin;
2365   *newmat = 0;
2366 
2367   ierr = MatCreate(PetscObjectComm((PetscObject)matin),&mat);CHKERRQ(ierr);
2368   ierr = MatSetSizes(mat,matin->rmap->n,matin->cmap->n,matin->rmap->N,matin->cmap->N);CHKERRQ(ierr);
2369   ierr = MatSetType(mat,((PetscObject)matin)->type_name);CHKERRQ(ierr);
2370   ierr = PetscMemcpy(mat->ops,matin->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
2371   ierr = PetscLayoutReference(matin->rmap,&mat->rmap);CHKERRQ(ierr);
2372   ierr = PetscLayoutReference(matin->cmap,&mat->cmap);CHKERRQ(ierr);
2373 
2374   mat->factortype   = matin->factortype;
2375   mat->preallocated = PETSC_TRUE;
2376   mat->assembled    = PETSC_TRUE;
2377   mat->insertmode   = NOT_SET_VALUES;
2378 
2379   a      = (Mat_MPISBAIJ*)mat->data;
2380   a->bs2 = oldmat->bs2;
2381   a->mbs = oldmat->mbs;
2382   a->nbs = oldmat->nbs;
2383   a->Mbs = oldmat->Mbs;
2384   a->Nbs = oldmat->Nbs;
2385 
2386 
2387   a->size         = oldmat->size;
2388   a->rank         = oldmat->rank;
2389   a->donotstash   = oldmat->donotstash;
2390   a->roworiented  = oldmat->roworiented;
2391   a->rowindices   = 0;
2392   a->rowvalues    = 0;
2393   a->getrowactive = PETSC_FALSE;
2394   a->barray       = 0;
2395   a->rstartbs     = oldmat->rstartbs;
2396   a->rendbs       = oldmat->rendbs;
2397   a->cstartbs     = oldmat->cstartbs;
2398   a->cendbs       = oldmat->cendbs;
2399 
2400   /* hash table stuff */
2401   a->ht           = 0;
2402   a->hd           = 0;
2403   a->ht_size      = 0;
2404   a->ht_flag      = oldmat->ht_flag;
2405   a->ht_fact      = oldmat->ht_fact;
2406   a->ht_total_ct  = 0;
2407   a->ht_insert_ct = 0;
2408 
2409   ierr = PetscMemcpy(a->rangebs,oldmat->rangebs,(a->size+2)*sizeof(PetscInt));CHKERRQ(ierr);
2410   if (oldmat->colmap) {
2411 #if defined(PETSC_USE_CTABLE)
2412     ierr = PetscTableCreateCopy(oldmat->colmap,&a->colmap);CHKERRQ(ierr);
2413 #else
2414     ierr = PetscMalloc1(a->Nbs,&a->colmap);CHKERRQ(ierr);
2415     ierr = PetscLogObjectMemory((PetscObject)mat,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2416     ierr = PetscMemcpy(a->colmap,oldmat->colmap,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2417 #endif
2418   } else a->colmap = 0;
2419 
2420   if (oldmat->garray && (len = ((Mat_SeqBAIJ*)(oldmat->B->data))->nbs)) {
2421     ierr = PetscMalloc1(len,&a->garray);CHKERRQ(ierr);
2422     ierr = PetscLogObjectMemory((PetscObject)mat,len*sizeof(PetscInt));CHKERRQ(ierr);
2423     ierr = PetscMemcpy(a->garray,oldmat->garray,len*sizeof(PetscInt));CHKERRQ(ierr);
2424   } else a->garray = 0;
2425 
2426   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)matin),matin->rmap->bs,&mat->bstash);CHKERRQ(ierr);
2427   ierr = VecDuplicate(oldmat->lvec,&a->lvec);CHKERRQ(ierr);
2428   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->lvec);CHKERRQ(ierr);
2429   ierr = VecScatterCopy(oldmat->Mvctx,&a->Mvctx);CHKERRQ(ierr);
2430   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->Mvctx);CHKERRQ(ierr);
2431 
2432   ierr =  VecDuplicate(oldmat->slvec0,&a->slvec0);CHKERRQ(ierr);
2433   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0);CHKERRQ(ierr);
2434   ierr =  VecDuplicate(oldmat->slvec1,&a->slvec1);CHKERRQ(ierr);
2435   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1);CHKERRQ(ierr);
2436 
2437   ierr = VecGetLocalSize(a->slvec1,&nt);CHKERRQ(ierr);
2438   ierr = VecGetArray(a->slvec1,&array);CHKERRQ(ierr);
2439   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,bs*mbs,array,&a->slvec1a);CHKERRQ(ierr);
2440   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nt-bs*mbs,array+bs*mbs,&a->slvec1b);CHKERRQ(ierr);
2441   ierr = VecRestoreArray(a->slvec1,&array);CHKERRQ(ierr);
2442   ierr = VecGetArray(a->slvec0,&array);CHKERRQ(ierr);
2443   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nt-bs*mbs,array+bs*mbs,&a->slvec0b);CHKERRQ(ierr);
2444   ierr = VecRestoreArray(a->slvec0,&array);CHKERRQ(ierr);
2445   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0);CHKERRQ(ierr);
2446   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1);CHKERRQ(ierr);
2447   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0b);CHKERRQ(ierr);
2448   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1a);CHKERRQ(ierr);
2449   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1b);CHKERRQ(ierr);
2450 
2451   /* ierr =  VecScatterCopy(oldmat->sMvctx,&a->sMvctx); - not written yet, replaced by the lazy trick: */
2452   ierr      = PetscObjectReference((PetscObject)oldmat->sMvctx);CHKERRQ(ierr);
2453   a->sMvctx = oldmat->sMvctx;
2454   ierr      = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->sMvctx);CHKERRQ(ierr);
2455 
2456   ierr    =  MatDuplicate(oldmat->A,cpvalues,&a->A);CHKERRQ(ierr);
2457   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->A);CHKERRQ(ierr);
2458   ierr    =  MatDuplicate(oldmat->B,cpvalues,&a->B);CHKERRQ(ierr);
2459   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->B);CHKERRQ(ierr);
2460   ierr    = PetscFunctionListDuplicate(((PetscObject)matin)->qlist,&((PetscObject)mat)->qlist);CHKERRQ(ierr);
2461   *newmat = mat;
2462   PetscFunctionReturn(0);
2463 }
2464 
2465 #undef __FUNCT__
2466 #define __FUNCT__ "MatLoad_MPISBAIJ"
2467 PetscErrorCode MatLoad_MPISBAIJ(Mat newmat,PetscViewer viewer)
2468 {
2469   PetscErrorCode ierr;
2470   PetscInt       i,nz,j,rstart,rend;
2471   PetscScalar    *vals,*buf;
2472   MPI_Comm       comm;
2473   MPI_Status     status;
2474   PetscMPIInt    rank,size,tag = ((PetscObject)viewer)->tag,*sndcounts = 0,*browners,maxnz,*rowners,mmbs;
2475   PetscInt       header[4],*rowlengths = 0,M,N,m,*cols,*locrowlens;
2476   PetscInt       *procsnz = 0,jj,*mycols,*ibuf;
2477   PetscInt       bs = newmat->rmap->bs,Mbs,mbs,extra_rows;
2478   PetscInt       *dlens,*odlens,*mask,*masked1,*masked2,rowcount,odcount;
2479   PetscInt       dcount,kmax,k,nzcount,tmp,sizesset=1,grows,gcols;
2480   int            fd;
2481 
2482   PetscFunctionBegin;
2483   /* force binary viewer to load .info file if it has not yet done so */
2484   ierr = PetscViewerSetUp(viewer);CHKERRQ(ierr);
2485   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
2486   ierr = PetscOptionsBegin(comm,NULL,"Options for loading MPISBAIJ matrix 2","Mat");CHKERRQ(ierr);
2487   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
2488   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2489   if (bs < 0) bs = 1;
2490 
2491   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2492   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
2493   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
2494   if (!rank) {
2495     ierr = PetscBinaryRead(fd,(char*)header,4,PETSC_INT);CHKERRQ(ierr);
2496     if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
2497     if (header[3] < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as MPISBAIJ");
2498   }
2499 
2500   if (newmat->rmap->n < 0 && newmat->rmap->N < 0 && newmat->cmap->n < 0 && newmat->cmap->N < 0) sizesset = 0;
2501 
2502   ierr = MPI_Bcast(header+1,3,MPIU_INT,0,comm);CHKERRQ(ierr);
2503   M    = header[1];
2504   N    = header[2];
2505 
2506   /* If global rows/cols are set to PETSC_DECIDE, set it to the sizes given in the file */
2507   if (sizesset && newmat->rmap->N < 0) newmat->rmap->N = M;
2508   if (sizesset && newmat->cmap->N < 0) newmat->cmap->N = N;
2509 
2510   /* If global sizes are set, check if they are consistent with that given in the file */
2511   if (sizesset) {
2512     ierr = MatGetSize(newmat,&grows,&gcols);CHKERRQ(ierr);
2513   }
2514   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);
2515   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);
2516 
2517   if (M != N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Can only do square matrices");
2518 
2519   /*
2520      This code adds extra rows to make sure the number of rows is
2521      divisible by the blocksize
2522   */
2523   Mbs        = M/bs;
2524   extra_rows = bs - M + bs*(Mbs);
2525   if (extra_rows == bs) extra_rows = 0;
2526   else                  Mbs++;
2527   if (extra_rows &&!rank) {
2528     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
2529   }
2530 
2531   /* determine ownership of all rows */
2532   if (newmat->rmap->n < 0) { /* PETSC_DECIDE */
2533     mbs = Mbs/size + ((Mbs % size) > rank);
2534     m   = mbs*bs;
2535   } else { /* User Set */
2536     m   = newmat->rmap->n;
2537     mbs = m/bs;
2538   }
2539   ierr       = PetscMalloc2(size+1,&rowners,size+1,&browners);CHKERRQ(ierr);
2540   ierr       = PetscMPIIntCast(mbs,&mmbs);CHKERRQ(ierr);
2541   ierr       = MPI_Allgather(&mmbs,1,MPI_INT,rowners+1,1,MPI_INT,comm);CHKERRQ(ierr);
2542   rowners[0] = 0;
2543   for (i=2; i<=size; i++) rowners[i] += rowners[i-1];
2544   for (i=0; i<=size; i++) browners[i] = rowners[i]*bs;
2545   rstart = rowners[rank];
2546   rend   = rowners[rank+1];
2547 
2548   /* distribute row lengths to all processors */
2549   ierr = PetscMalloc1((rend-rstart)*bs,&locrowlens);CHKERRQ(ierr);
2550   if (!rank) {
2551     ierr = PetscMalloc1(M+extra_rows,&rowlengths);CHKERRQ(ierr);
2552     ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
2553     for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
2554     ierr = PetscMalloc1(size,&sndcounts);CHKERRQ(ierr);
2555     for (i=0; i<size; i++) sndcounts[i] = browners[i+1] - browners[i];
2556     ierr = MPI_Scatterv(rowlengths,sndcounts,browners,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2557     ierr = PetscFree(sndcounts);CHKERRQ(ierr);
2558   } else {
2559     ierr = MPI_Scatterv(0,0,0,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2560   }
2561 
2562   if (!rank) {   /* procs[0] */
2563     /* calculate the number of nonzeros on each processor */
2564     ierr = PetscMalloc1(size,&procsnz);CHKERRQ(ierr);
2565     ierr = PetscMemzero(procsnz,size*sizeof(PetscInt));CHKERRQ(ierr);
2566     for (i=0; i<size; i++) {
2567       for (j=rowners[i]*bs; j< rowners[i+1]*bs; j++) {
2568         procsnz[i] += rowlengths[j];
2569       }
2570     }
2571     ierr = PetscFree(rowlengths);CHKERRQ(ierr);
2572 
2573     /* determine max buffer needed and allocate it */
2574     maxnz = 0;
2575     for (i=0; i<size; i++) {
2576       maxnz = PetscMax(maxnz,procsnz[i]);
2577     }
2578     ierr = PetscMalloc1(maxnz,&cols);CHKERRQ(ierr);
2579 
2580     /* read in my part of the matrix column indices  */
2581     nz     = procsnz[0];
2582     ierr   = PetscMalloc1(nz,&ibuf);CHKERRQ(ierr);
2583     mycols = ibuf;
2584     if (size == 1) nz -= extra_rows;
2585     ierr = PetscBinaryRead(fd,mycols,nz,PETSC_INT);CHKERRQ(ierr);
2586     if (size == 1) {
2587       for (i=0; i< extra_rows; i++) mycols[nz+i] = M+i;
2588     }
2589 
2590     /* read in every ones (except the last) and ship off */
2591     for (i=1; i<size-1; i++) {
2592       nz   = procsnz[i];
2593       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2594       ierr = MPI_Send(cols,nz,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
2595     }
2596     /* read in the stuff for the last proc */
2597     if (size != 1) {
2598       nz   = procsnz[size-1] - extra_rows;  /* the extra rows are not on the disk */
2599       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2600       for (i=0; i<extra_rows; i++) cols[nz+i] = M+i;
2601       ierr = MPI_Send(cols,nz+extra_rows,MPIU_INT,size-1,tag,comm);CHKERRQ(ierr);
2602     }
2603     ierr = PetscFree(cols);CHKERRQ(ierr);
2604   } else {  /* procs[i], i>0 */
2605     /* determine buffer space needed for message */
2606     nz = 0;
2607     for (i=0; i<m; i++) nz += locrowlens[i];
2608     ierr   = PetscMalloc1(nz,&ibuf);CHKERRQ(ierr);
2609     mycols = ibuf;
2610     /* receive message of column indices*/
2611     ierr = MPI_Recv(mycols,nz,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
2612     ierr = MPI_Get_count(&status,MPIU_INT,&maxnz);CHKERRQ(ierr);
2613     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2614   }
2615 
2616   /* loop over local rows, determining number of off diagonal entries */
2617   ierr     = PetscMalloc2(rend-rstart,&dlens,rend-rstart,&odlens);CHKERRQ(ierr);
2618   ierr     = PetscMalloc3(Mbs,&mask,Mbs,&masked1,Mbs,&masked2);CHKERRQ(ierr);
2619   ierr     = PetscMemzero(mask,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2620   ierr     = PetscMemzero(masked1,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2621   ierr     = PetscMemzero(masked2,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2622   rowcount = 0;
2623   nzcount  = 0;
2624   for (i=0; i<mbs; i++) {
2625     dcount  = 0;
2626     odcount = 0;
2627     for (j=0; j<bs; j++) {
2628       kmax = locrowlens[rowcount];
2629       for (k=0; k<kmax; k++) {
2630         tmp = mycols[nzcount++]/bs; /* block col. index */
2631         if (!mask[tmp]) {
2632           mask[tmp] = 1;
2633           if (tmp < rstart || tmp >= rend) masked2[odcount++] = tmp; /* entry in off-diag portion */
2634           else masked1[dcount++] = tmp; /* entry in diag portion */
2635         }
2636       }
2637       rowcount++;
2638     }
2639 
2640     dlens[i]  = dcount;  /* d_nzz[i] */
2641     odlens[i] = odcount; /* o_nzz[i] */
2642 
2643     /* zero out the mask elements we set */
2644     for (j=0; j<dcount; j++) mask[masked1[j]] = 0;
2645     for (j=0; j<odcount; j++) mask[masked2[j]] = 0;
2646   }
2647   if (!sizesset) {
2648     ierr = MatSetSizes(newmat,m,m,M+extra_rows,N+extra_rows);CHKERRQ(ierr);
2649   }
2650   ierr = MatMPISBAIJSetPreallocation(newmat,bs,0,dlens,0,odlens);CHKERRQ(ierr);
2651   ierr = MatSetOption(newmat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
2652 
2653   if (!rank) {
2654     ierr = PetscMalloc1(maxnz,&buf);CHKERRQ(ierr);
2655     /* read in my part of the matrix numerical values  */
2656     nz     = procsnz[0];
2657     vals   = buf;
2658     mycols = ibuf;
2659     if (size == 1) nz -= extra_rows;
2660     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2661     if (size == 1) {
2662       for (i=0; i< extra_rows; i++) vals[nz+i] = 1.0;
2663     }
2664 
2665     /* insert into matrix */
2666     jj = rstart*bs;
2667     for (i=0; i<m; i++) {
2668       ierr    = MatSetValues(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2669       mycols += locrowlens[i];
2670       vals   += locrowlens[i];
2671       jj++;
2672     }
2673 
2674     /* read in other processors (except the last one) and ship out */
2675     for (i=1; i<size-1; i++) {
2676       nz   = procsnz[i];
2677       vals = buf;
2678       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2679       ierr = MPI_Send(vals,nz,MPIU_SCALAR,i,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
2680     }
2681     /* the last proc */
2682     if (size != 1) {
2683       nz   = procsnz[i] - extra_rows;
2684       vals = buf;
2685       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2686       for (i=0; i<extra_rows; i++) vals[nz+i] = 1.0;
2687       ierr = MPI_Send(vals,nz+extra_rows,MPIU_SCALAR,size-1,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
2688     }
2689     ierr = PetscFree(procsnz);CHKERRQ(ierr);
2690 
2691   } else {
2692     /* receive numeric values */
2693     ierr = PetscMalloc1(nz,&buf);CHKERRQ(ierr);
2694 
2695     /* receive message of values*/
2696     vals   = buf;
2697     mycols = ibuf;
2698     ierr   = MPI_Recv(vals,nz,MPIU_SCALAR,0,((PetscObject)newmat)->tag,comm,&status);CHKERRQ(ierr);
2699     ierr   = MPI_Get_count(&status,MPIU_SCALAR,&maxnz);CHKERRQ(ierr);
2700     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2701 
2702     /* insert into matrix */
2703     jj = rstart*bs;
2704     for (i=0; i<m; i++) {
2705       ierr    = MatSetValues_MPISBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2706       mycols += locrowlens[i];
2707       vals   += locrowlens[i];
2708       jj++;
2709     }
2710   }
2711 
2712   ierr = PetscFree(locrowlens);CHKERRQ(ierr);
2713   ierr = PetscFree(buf);CHKERRQ(ierr);
2714   ierr = PetscFree(ibuf);CHKERRQ(ierr);
2715   ierr = PetscFree2(rowners,browners);CHKERRQ(ierr);
2716   ierr = PetscFree2(dlens,odlens);CHKERRQ(ierr);
2717   ierr = PetscFree3(mask,masked1,masked2);CHKERRQ(ierr);
2718   ierr = MatAssemblyBegin(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2719   ierr = MatAssemblyEnd(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2720   PetscFunctionReturn(0);
2721 }
2722 
2723 #undef __FUNCT__
2724 #define __FUNCT__ "MatMPISBAIJSetHashTableFactor"
2725 /*XXXXX@
2726    MatMPISBAIJSetHashTableFactor - Sets the factor required to compute the size of the HashTable.
2727 
2728    Input Parameters:
2729 .  mat  - the matrix
2730 .  fact - factor
2731 
2732    Not Collective on Mat, each process can have a different hash factor
2733 
2734    Level: advanced
2735 
2736   Notes:
2737    This can also be set by the command line option: -mat_use_hash_table fact
2738 
2739 .keywords: matrix, hashtable, factor, HT
2740 
2741 .seealso: MatSetOption()
2742 @XXXXX*/
2743 
2744 
2745 #undef __FUNCT__
2746 #define __FUNCT__ "MatGetRowMaxAbs_MPISBAIJ"
2747 PetscErrorCode MatGetRowMaxAbs_MPISBAIJ(Mat A,Vec v,PetscInt idx[])
2748 {
2749   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
2750   Mat_SeqBAIJ    *b = (Mat_SeqBAIJ*)(a->B)->data;
2751   PetscReal      atmp;
2752   PetscReal      *work,*svalues,*rvalues;
2753   PetscErrorCode ierr;
2754   PetscInt       i,bs,mbs,*bi,*bj,brow,j,ncols,krow,kcol,col,row,Mbs,bcol;
2755   PetscMPIInt    rank,size;
2756   PetscInt       *rowners_bs,dest,count,source;
2757   PetscScalar    *va;
2758   MatScalar      *ba;
2759   MPI_Status     stat;
2760 
2761   PetscFunctionBegin;
2762   if (idx) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Send email to petsc-maint@mcs.anl.gov");
2763   ierr = MatGetRowMaxAbs(a->A,v,NULL);CHKERRQ(ierr);
2764   ierr = VecGetArray(v,&va);CHKERRQ(ierr);
2765 
2766   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&size);CHKERRQ(ierr);
2767   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A),&rank);CHKERRQ(ierr);
2768 
2769   bs  = A->rmap->bs;
2770   mbs = a->mbs;
2771   Mbs = a->Mbs;
2772   ba  = b->a;
2773   bi  = b->i;
2774   bj  = b->j;
2775 
2776   /* find ownerships */
2777   rowners_bs = A->rmap->range;
2778 
2779   /* each proc creates an array to be distributed */
2780   ierr = PetscMalloc1(bs*Mbs,&work);CHKERRQ(ierr);
2781   ierr = PetscMemzero(work,bs*Mbs*sizeof(PetscReal));CHKERRQ(ierr);
2782 
2783   /* row_max for B */
2784   if (rank != size-1) {
2785     for (i=0; i<mbs; i++) {
2786       ncols = bi[1] - bi[0]; bi++;
2787       brow  = bs*i;
2788       for (j=0; j<ncols; j++) {
2789         bcol = bs*(*bj);
2790         for (kcol=0; kcol<bs; kcol++) {
2791           col  = bcol + kcol;                /* local col index */
2792           col += rowners_bs[rank+1];      /* global col index */
2793           for (krow=0; krow<bs; krow++) {
2794             atmp = PetscAbsScalar(*ba); ba++;
2795             row  = brow + krow;   /* local row index */
2796             if (PetscRealPart(va[row]) < atmp) va[row] = atmp;
2797             if (work[col] < atmp) work[col] = atmp;
2798           }
2799         }
2800         bj++;
2801       }
2802     }
2803 
2804     /* send values to its owners */
2805     for (dest=rank+1; dest<size; dest++) {
2806       svalues = work + rowners_bs[dest];
2807       count   = rowners_bs[dest+1]-rowners_bs[dest];
2808       ierr    = MPI_Send(svalues,count,MPIU_REAL,dest,rank,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2809     }
2810   }
2811 
2812   /* receive values */
2813   if (rank) {
2814     rvalues = work;
2815     count   = rowners_bs[rank+1]-rowners_bs[rank];
2816     for (source=0; source<rank; source++) {
2817       ierr = MPI_Recv(rvalues,count,MPIU_REAL,MPI_ANY_SOURCE,MPI_ANY_TAG,PetscObjectComm((PetscObject)A),&stat);CHKERRQ(ierr);
2818       /* process values */
2819       for (i=0; i<count; i++) {
2820         if (PetscRealPart(va[i]) < rvalues[i]) va[i] = rvalues[i];
2821       }
2822     }
2823   }
2824 
2825   ierr = VecRestoreArray(v,&va);CHKERRQ(ierr);
2826   ierr = PetscFree(work);CHKERRQ(ierr);
2827   PetscFunctionReturn(0);
2828 }
2829 
2830 #undef __FUNCT__
2831 #define __FUNCT__ "MatSOR_MPISBAIJ"
2832 PetscErrorCode MatSOR_MPISBAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2833 {
2834   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)matin->data;
2835   PetscErrorCode    ierr;
2836   PetscInt          mbs=mat->mbs,bs=matin->rmap->bs;
2837   PetscScalar       *x,*ptr,*from;
2838   Vec               bb1;
2839   const PetscScalar *b;
2840 
2841   PetscFunctionBegin;
2842   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);
2843   if (bs > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2844 
2845   if (flag == SOR_APPLY_UPPER) {
2846     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2847     PetscFunctionReturn(0);
2848   }
2849 
2850   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
2851     if (flag & SOR_ZERO_INITIAL_GUESS) {
2852       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2853       its--;
2854     }
2855 
2856     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2857     while (its--) {
2858 
2859       /* lower triangular part: slvec0b = - B^T*xx */
2860       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2861 
2862       /* copy xx into slvec0a */
2863       ierr = VecGetArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2864       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2865       ierr = PetscMemcpy(ptr,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2866       ierr = VecRestoreArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2867 
2868       ierr = VecScale(mat->slvec0,-1.0);CHKERRQ(ierr);
2869 
2870       /* copy bb into slvec1a */
2871       ierr = VecGetArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2872       ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
2873       ierr = PetscMemcpy(ptr,b,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2874       ierr = VecRestoreArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2875 
2876       /* set slvec1b = 0 */
2877       ierr = VecSet(mat->slvec1b,0.0);CHKERRQ(ierr);
2878 
2879       ierr = VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2880       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2881       ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
2882       ierr = VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2883 
2884       /* upper triangular part: bb1 = bb1 - B*x */
2885       ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,bb1);CHKERRQ(ierr);
2886 
2887       /* local diagonal sweep */
2888       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
2889     }
2890     ierr = VecDestroy(&bb1);CHKERRQ(ierr);
2891   } else if ((flag & SOR_LOCAL_FORWARD_SWEEP) && (its == 1) && (flag & SOR_ZERO_INITIAL_GUESS)) {
2892     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2893   } else if ((flag & SOR_LOCAL_BACKWARD_SWEEP) && (its == 1) && (flag & SOR_ZERO_INITIAL_GUESS)) {
2894     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2895   } else if (flag & SOR_EISENSTAT) {
2896     Vec               xx1;
2897     PetscBool         hasop;
2898     const PetscScalar *diag;
2899     PetscScalar       *sl,scale = (omega - 2.0)/omega;
2900     PetscInt          i,n;
2901 
2902     if (!mat->xx1) {
2903       ierr = VecDuplicate(bb,&mat->xx1);CHKERRQ(ierr);
2904       ierr = VecDuplicate(bb,&mat->bb1);CHKERRQ(ierr);
2905     }
2906     xx1 = mat->xx1;
2907     bb1 = mat->bb1;
2908 
2909     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,(MatSORType)(SOR_ZERO_INITIAL_GUESS | SOR_LOCAL_BACKWARD_SWEEP),fshift,lits,1,xx);CHKERRQ(ierr);
2910 
2911     if (!mat->diag) {
2912       /* this is wrong for same matrix with new nonzero values */
2913       ierr = MatCreateVecs(matin,&mat->diag,NULL);CHKERRQ(ierr);
2914       ierr = MatGetDiagonal(matin,mat->diag);CHKERRQ(ierr);
2915     }
2916     ierr = MatHasOperation(matin,MATOP_MULT_DIAGONAL_BLOCK,&hasop);CHKERRQ(ierr);
2917 
2918     if (hasop) {
2919       ierr = MatMultDiagonalBlock(matin,xx,bb1);CHKERRQ(ierr);
2920       ierr = VecAYPX(mat->slvec1a,scale,bb);CHKERRQ(ierr);
2921     } else {
2922       /*
2923           These two lines are replaced by code that may be a bit faster for a good compiler
2924       ierr = VecPointwiseMult(mat->slvec1a,mat->diag,xx);CHKERRQ(ierr);
2925       ierr = VecAYPX(mat->slvec1a,scale,bb);CHKERRQ(ierr);
2926       */
2927       ierr = VecGetArray(mat->slvec1a,&sl);CHKERRQ(ierr);
2928       ierr = VecGetArrayRead(mat->diag,&diag);CHKERRQ(ierr);
2929       ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
2930       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2931       ierr = VecGetLocalSize(xx,&n);CHKERRQ(ierr);
2932       if (omega == 1.0) {
2933         for (i=0; i<n; i++) sl[i] = b[i] - diag[i]*x[i];
2934         ierr = PetscLogFlops(2.0*n);CHKERRQ(ierr);
2935       } else {
2936         for (i=0; i<n; i++) sl[i] = b[i] + scale*diag[i]*x[i];
2937         ierr = PetscLogFlops(3.0*n);CHKERRQ(ierr);
2938       }
2939       ierr = VecRestoreArray(mat->slvec1a,&sl);CHKERRQ(ierr);
2940       ierr = VecRestoreArrayRead(mat->diag,&diag);CHKERRQ(ierr);
2941       ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
2942       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2943     }
2944 
2945     /* multiply off-diagonal portion of matrix */
2946     ierr = VecSet(mat->slvec1b,0.0);CHKERRQ(ierr);
2947     ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2948     ierr = VecGetArray(mat->slvec0,&from);CHKERRQ(ierr);
2949     ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2950     ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2951     ierr = VecRestoreArray(mat->slvec0,&from);CHKERRQ(ierr);
2952     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2953     ierr = VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2954     ierr = VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2955     ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,mat->slvec1a);CHKERRQ(ierr);
2956 
2957     /* local sweep */
2958     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);
2959     ierr = VecAXPY(xx,1.0,xx1);CHKERRQ(ierr);
2960   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
2961   PetscFunctionReturn(0);
2962 }
2963 
2964 #undef __FUNCT__
2965 #define __FUNCT__ "MatSOR_MPISBAIJ_2comm"
2966 PetscErrorCode MatSOR_MPISBAIJ_2comm(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2967 {
2968   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
2969   PetscErrorCode ierr;
2970   Vec            lvec1,bb1;
2971 
2972   PetscFunctionBegin;
2973   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);
2974   if (matin->rmap->bs > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2975 
2976   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
2977     if (flag & SOR_ZERO_INITIAL_GUESS) {
2978       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2979       its--;
2980     }
2981 
2982     ierr = VecDuplicate(mat->lvec,&lvec1);CHKERRQ(ierr);
2983     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2984     while (its--) {
2985       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2986 
2987       /* lower diagonal part: bb1 = bb - B^T*xx */
2988       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,lvec1);CHKERRQ(ierr);
2989       ierr = VecScale(lvec1,-1.0);CHKERRQ(ierr);
2990 
2991       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2992       ierr = VecCopy(bb,bb1);CHKERRQ(ierr);
2993       ierr = VecScatterBegin(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2994 
2995       /* upper diagonal part: bb1 = bb1 - B*x */
2996       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2997       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb1,bb1);CHKERRQ(ierr);
2998 
2999       ierr = VecScatterEnd(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
3000 
3001       /* diagonal sweep */
3002       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
3003     }
3004     ierr = VecDestroy(&lvec1);CHKERRQ(ierr);
3005     ierr = VecDestroy(&bb1);CHKERRQ(ierr);
3006   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
3007   PetscFunctionReturn(0);
3008 }
3009 
3010 #undef __FUNCT__
3011 #define __FUNCT__ "MatCreateMPISBAIJWithArrays"
3012 /*@
3013      MatCreateMPISBAIJWithArrays - creates a MPI SBAIJ matrix using arrays that contain in standard
3014          CSR format the local rows.
3015 
3016    Collective on MPI_Comm
3017 
3018    Input Parameters:
3019 +  comm - MPI communicator
3020 .  bs - the block size, only a block size of 1 is supported
3021 .  m - number of local rows (Cannot be PETSC_DECIDE)
3022 .  n - This value should be the same as the local size used in creating the
3023        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
3024        calculated if N is given) For square matrices n is almost always m.
3025 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
3026 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
3027 .   i - row indices
3028 .   j - column indices
3029 -   a - matrix values
3030 
3031    Output Parameter:
3032 .   mat - the matrix
3033 
3034    Level: intermediate
3035 
3036    Notes:
3037        The i, j, and a arrays ARE copied by this routine into the internal format used by PETSc;
3038      thus you CANNOT change the matrix entries by changing the values of a[] after you have
3039      called this routine. Use MatCreateMPIAIJWithSplitArrays() to avoid needing to copy the arrays.
3040 
3041        The i and j indices are 0 based, and i indices are indices corresponding to the local j array.
3042 
3043 .keywords: matrix, aij, compressed row, sparse, parallel
3044 
3045 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
3046           MPIAIJ, MatCreateAIJ(), MatCreateMPIAIJWithSplitArrays()
3047 @*/
3048 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)
3049 {
3050   PetscErrorCode ierr;
3051 
3052 
3053   PetscFunctionBegin;
3054   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
3055   if (m < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"local number of rows (m) cannot be PETSC_DECIDE, or negative");
3056   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
3057   ierr = MatSetSizes(*mat,m,n,M,N);CHKERRQ(ierr);
3058   ierr = MatSetType(*mat,MATMPISBAIJ);CHKERRQ(ierr);
3059   ierr = MatMPISBAIJSetPreallocationCSR(*mat,bs,i,j,a);CHKERRQ(ierr);
3060   PetscFunctionReturn(0);
3061 }
3062 
3063 
3064 #undef __FUNCT__
3065 #define __FUNCT__ "MatMPISBAIJSetPreallocationCSR"
3066 /*@C
3067    MatMPISBAIJSetPreallocationCSR - Allocates memory for a sparse parallel matrix in BAIJ format
3068    (the default parallel PETSc format).
3069 
3070    Collective on MPI_Comm
3071 
3072    Input Parameters:
3073 +  B - the matrix
3074 .  bs - the block size
3075 .  i - the indices into j for the start of each local row (starts with zero)
3076 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
3077 -  v - optional values in the matrix
3078 
3079    Level: developer
3080 
3081 .keywords: matrix, aij, compressed row, sparse, parallel
3082 
3083 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIBAIJSetPreallocation(), MatCreateAIJ(), MPIAIJ
3084 @*/
3085 PetscErrorCode  MatMPISBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
3086 {
3087   PetscErrorCode ierr;
3088 
3089   PetscFunctionBegin;
3090   ierr = PetscTryMethod(B,"MatMPISBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));CHKERRQ(ierr);
3091   PetscFunctionReturn(0);
3092 }
3093 
3094 #undef __FUNCT__
3095 #define __FUNCT__ "MatCreateMPIMatConcatenateSeqMat_MPISBAIJ"
3096 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_MPISBAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
3097 {
3098   PetscErrorCode ierr;
3099   PetscInt       m,N,i,rstart,nnz,Ii,bs,cbs;
3100   PetscInt       *indx;
3101   PetscScalar    *values;
3102 
3103   PetscFunctionBegin;
3104   ierr = MatGetSize(inmat,&m,&N);CHKERRQ(ierr);
3105   if (scall == MAT_INITIAL_MATRIX) { /* symbolic phase */
3106     Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)inmat->data;
3107     PetscInt       *dnz,*onz,sum,bs,cbs,mbs,Nbs;
3108     PetscInt       *bindx,rmax=a->rmax,j;
3109 
3110     ierr = MatGetBlockSizes(inmat,&bs,&cbs);CHKERRQ(ierr);
3111     mbs = m/bs; Nbs = N/cbs;
3112     if (n == PETSC_DECIDE) {
3113       ierr = PetscSplitOwnership(comm,&n,&Nbs);CHKERRQ(ierr);
3114     }
3115     /* Check sum(n) = Nbs */
3116     ierr = MPI_Allreduce(&n,&sum,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
3117     if (sum != Nbs) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Sum of local columns != global columns %d",Nbs);
3118 
3119     ierr    = MPI_Scan(&mbs, &rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
3120     rstart -= mbs;
3121 
3122     ierr = PetscMalloc1(rmax,&bindx);CHKERRQ(ierr);
3123     ierr = MatPreallocateInitialize(comm,mbs,n,dnz,onz);CHKERRQ(ierr);
3124     ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
3125     for (i=0; i<mbs; i++) {
3126       ierr = MatGetRow_SeqSBAIJ(inmat,i*bs,&nnz,&indx,NULL);CHKERRQ(ierr); /* non-blocked nnz and indx */
3127       nnz = nnz/bs;
3128       for (j=0; j<nnz; j++) bindx[j] = indx[j*bs]/bs;
3129       ierr = MatPreallocateSet(i+rstart,nnz,bindx,dnz,onz);CHKERRQ(ierr);
3130       ierr = MatRestoreRow_SeqSBAIJ(inmat,i*bs,&nnz,&indx,NULL);CHKERRQ(ierr);
3131     }
3132     ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_FALSE);CHKERRQ(ierr);
3133     ierr = PetscFree(bindx);CHKERRQ(ierr);
3134 
3135     ierr = MatCreate(comm,outmat);CHKERRQ(ierr);
3136     ierr = MatSetSizes(*outmat,m,n*bs,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
3137     ierr = MatSetBlockSizes(*outmat,bs,cbs);CHKERRQ(ierr);
3138     ierr = MatSetType(*outmat,MATMPISBAIJ);CHKERRQ(ierr);
3139     ierr = MatMPISBAIJSetPreallocation(*outmat,bs,0,dnz,0,onz);CHKERRQ(ierr);
3140     ierr = MatPreallocateFinalize(dnz,onz);CHKERRQ(ierr);
3141   }
3142 
3143   /* numeric phase */
3144   ierr = MatGetBlockSizes(inmat,&bs,&cbs);CHKERRQ(ierr);
3145   ierr = MatGetOwnershipRange(*outmat,&rstart,NULL);CHKERRQ(ierr);
3146 
3147   ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
3148   for (i=0; i<m; i++) {
3149     ierr = MatGetRow_SeqSBAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
3150     Ii   = i + rstart;
3151     ierr = MatSetValues(*outmat,1,&Ii,nnz,indx,values,INSERT_VALUES);CHKERRQ(ierr);
3152     ierr = MatRestoreRow_SeqSBAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
3153   }
3154   ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_FALSE);CHKERRQ(ierr);
3155   ierr = MatAssemblyBegin(*outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3156   ierr = MatAssemblyEnd(*outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3157   PetscFunctionReturn(0);
3158 }
3159