xref: /petsc/src/mat/impls/sbaij/mpi/mpisbaij.c (revision 3b49f96a08d19738f4d6d5931585bcc3c1253d7a)
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 
672   PetscFunctionBegin;
673   if (baij->donotstash || mat->nooffprocentries) PetscFunctionReturn(0);
674 
675   ierr = MatStashScatterBegin_Private(mat,&mat->stash,mat->rmap->range);CHKERRQ(ierr);
676   ierr = MatStashScatterBegin_Private(mat,&mat->bstash,baij->rangebs);CHKERRQ(ierr);
677   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
678   ierr = PetscInfo2(mat,"Stash has %D entries,uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
679   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
680   ierr = PetscInfo2(mat,"Block-Stash has %D entries, uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
681   PetscFunctionReturn(0);
682 }
683 
684 #undef __FUNCT__
685 #define __FUNCT__ "MatAssemblyEnd_MPISBAIJ"
686 PetscErrorCode MatAssemblyEnd_MPISBAIJ(Mat mat,MatAssemblyType mode)
687 {
688   Mat_MPISBAIJ   *baij=(Mat_MPISBAIJ*)mat->data;
689   Mat_SeqSBAIJ   *a   =(Mat_SeqSBAIJ*)baij->A->data;
690   PetscErrorCode ierr;
691   PetscInt       i,j,rstart,ncols,flg,bs2=baij->bs2;
692   PetscInt       *row,*col;
693   PetscBool      other_disassembled;
694   PetscMPIInt    n;
695   PetscBool      r1,r2,r3;
696   MatScalar      *val;
697 
698   /* do not use 'b=(Mat_SeqBAIJ*)baij->B->data' as B can be reset in disassembly */
699   PetscFunctionBegin;
700   if (!baij->donotstash &&  !mat->nooffprocentries) {
701     while (1) {
702       ierr = MatStashScatterGetMesg_Private(&mat->stash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
703       if (!flg) break;
704 
705       for (i=0; i<n;) {
706         /* Now identify the consecutive vals belonging to the same row */
707         for (j=i,rstart=row[j]; j<n; j++) {
708           if (row[j] != rstart) break;
709         }
710         if (j < n) ncols = j-i;
711         else       ncols = n-i;
712         /* Now assemble all these values with a single function call */
713         ierr = MatSetValues_MPISBAIJ(mat,1,row+i,ncols,col+i,val+i,mat->insertmode);CHKERRQ(ierr);
714         i    = j;
715       }
716     }
717     ierr = MatStashScatterEnd_Private(&mat->stash);CHKERRQ(ierr);
718     /* Now process the block-stash. Since the values are stashed column-oriented,
719        set the roworiented flag to column oriented, and after MatSetValues()
720        restore the original flags */
721     r1 = baij->roworiented;
722     r2 = a->roworiented;
723     r3 = ((Mat_SeqBAIJ*)baij->B->data)->roworiented;
724 
725     baij->roworiented = PETSC_FALSE;
726     a->roworiented    = PETSC_FALSE;
727 
728     ((Mat_SeqBAIJ*)baij->B->data)->roworiented = PETSC_FALSE; /* b->roworinted */
729     while (1) {
730       ierr = MatStashScatterGetMesg_Private(&mat->bstash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
731       if (!flg) break;
732 
733       for (i=0; i<n;) {
734         /* Now identify the consecutive vals belonging to the same row */
735         for (j=i,rstart=row[j]; j<n; j++) {
736           if (row[j] != rstart) break;
737         }
738         if (j < n) ncols = j-i;
739         else       ncols = n-i;
740         ierr = MatSetValuesBlocked_MPISBAIJ(mat,1,row+i,ncols,col+i,val+i*bs2,mat->insertmode);CHKERRQ(ierr);
741         i    = j;
742       }
743     }
744     ierr = MatStashScatterEnd_Private(&mat->bstash);CHKERRQ(ierr);
745 
746     baij->roworiented = r1;
747     a->roworiented    = r2;
748 
749     ((Mat_SeqBAIJ*)baij->B->data)->roworiented = r3; /* b->roworinted */
750   }
751 
752   ierr = MatAssemblyBegin(baij->A,mode);CHKERRQ(ierr);
753   ierr = MatAssemblyEnd(baij->A,mode);CHKERRQ(ierr);
754 
755   /* determine if any processor has disassembled, if so we must
756      also disassemble ourselfs, in order that we may reassemble. */
757   /*
758      if nonzero structure of submatrix B cannot change then we know that
759      no processor disassembled thus we can skip this stuff
760   */
761   if (!((Mat_SeqBAIJ*)baij->B->data)->nonew) {
762     ierr = MPI_Allreduce(&mat->was_assembled,&other_disassembled,1,MPIU_BOOL,MPI_PROD,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
763     if (mat->was_assembled && !other_disassembled) {
764       ierr = MatDisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
765     }
766   }
767 
768   if (!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) {
769     ierr = MatSetUpMultiply_MPISBAIJ(mat);CHKERRQ(ierr); /* setup Mvctx and sMvctx */
770   }
771   ierr = MatAssemblyBegin(baij->B,mode);CHKERRQ(ierr);
772   ierr = MatAssemblyEnd(baij->B,mode);CHKERRQ(ierr);
773 
774   ierr = PetscFree2(baij->rowvalues,baij->rowindices);CHKERRQ(ierr);
775 
776   baij->rowvalues = 0;
777 
778   /* if no new nonzero locations are allowed in matrix then only set the matrix state the first time through */
779   if ((!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) || !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
780     PetscObjectState state = baij->A->nonzerostate + baij->B->nonzerostate;
781     ierr = MPI_Allreduce(&state,&mat->nonzerostate,1,MPIU_INT64,MPI_SUM,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
782   }
783   PetscFunctionReturn(0);
784 }
785 
786 extern PetscErrorCode MatView_SeqSBAIJ_ASCII(Mat,PetscViewer);
787 extern PetscErrorCode MatSetValues_MPIBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
788 #include <petscdraw.h>
789 #undef __FUNCT__
790 #define __FUNCT__ "MatView_MPISBAIJ_ASCIIorDraworSocket"
791 static PetscErrorCode MatView_MPISBAIJ_ASCIIorDraworSocket(Mat mat,PetscViewer viewer)
792 {
793   Mat_MPISBAIJ      *baij = (Mat_MPISBAIJ*)mat->data;
794   PetscErrorCode    ierr;
795   PetscInt          bs   = mat->rmap->bs;
796   PetscMPIInt       rank = baij->rank;
797   PetscBool         iascii,isdraw;
798   PetscViewer       sviewer;
799   PetscViewerFormat format;
800 
801   PetscFunctionBegin;
802   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
803   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
804   if (iascii) {
805     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
806     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
807       MatInfo info;
808       ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)mat),&rank);CHKERRQ(ierr);
809       ierr = MatGetInfo(mat,MAT_LOCAL,&info);CHKERRQ(ierr);
810       ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr);
811       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);
812       ierr = MatGetInfo(baij->A,MAT_LOCAL,&info);CHKERRQ(ierr);
813       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] on-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
814       ierr = MatGetInfo(baij->B,MAT_LOCAL,&info);CHKERRQ(ierr);
815       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] off-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
816       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
817       ierr = PetscViewerASCIIPopSynchronized(viewer);CHKERRQ(ierr);
818       ierr = PetscViewerASCIIPrintf(viewer,"Information on VecScatter used in matrix-vector product: \n");CHKERRQ(ierr);
819       ierr = VecScatterView(baij->Mvctx,viewer);CHKERRQ(ierr);
820       PetscFunctionReturn(0);
821     } else if (format == PETSC_VIEWER_ASCII_INFO) {
822       ierr = PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);CHKERRQ(ierr);
823       PetscFunctionReturn(0);
824     } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
825       PetscFunctionReturn(0);
826     }
827   }
828 
829   if (isdraw) {
830     PetscDraw draw;
831     PetscBool isnull;
832     ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
833     ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
834   }
835 
836   {
837     /* assemble the entire matrix onto first processor. */
838     Mat          A;
839     Mat_SeqSBAIJ *Aloc;
840     Mat_SeqBAIJ  *Bloc;
841     PetscInt     M = mat->rmap->N,N = mat->cmap->N,*ai,*aj,col,i,j,k,*rvals,mbs = baij->mbs;
842     MatScalar    *a;
843     const char   *matname;
844 
845     /* Should this be the same type as mat? */
846     ierr = MatCreate(PetscObjectComm((PetscObject)mat),&A);CHKERRQ(ierr);
847     if (!rank) {
848       ierr = MatSetSizes(A,M,N,M,N);CHKERRQ(ierr);
849     } else {
850       ierr = MatSetSizes(A,0,0,M,N);CHKERRQ(ierr);
851     }
852     ierr = MatSetType(A,MATMPISBAIJ);CHKERRQ(ierr);
853     ierr = MatMPISBAIJSetPreallocation(A,mat->rmap->bs,0,NULL,0,NULL);CHKERRQ(ierr);
854     ierr = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);
855     ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)A);CHKERRQ(ierr);
856 
857     /* copy over the A part */
858     Aloc = (Mat_SeqSBAIJ*)baij->A->data;
859     ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
860     ierr = PetscMalloc1(bs,&rvals);CHKERRQ(ierr);
861 
862     for (i=0; i<mbs; i++) {
863       rvals[0] = bs*(baij->rstartbs + i);
864       for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
865       for (j=ai[i]; j<ai[i+1]; j++) {
866         col = (baij->cstartbs+aj[j])*bs;
867         for (k=0; k<bs; k++) {
868           ierr = MatSetValues_MPISBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
869           col++;
870           a += bs;
871         }
872       }
873     }
874     /* copy over the B part */
875     Bloc = (Mat_SeqBAIJ*)baij->B->data;
876     ai   = Bloc->i; aj = Bloc->j; a = Bloc->a;
877     for (i=0; i<mbs; i++) {
878 
879       rvals[0] = bs*(baij->rstartbs + i);
880       for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
881       for (j=ai[i]; j<ai[i+1]; j++) {
882         col = baij->garray[aj[j]]*bs;
883         for (k=0; k<bs; k++) {
884           ierr = MatSetValues_MPIBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
885           col++;
886           a += bs;
887         }
888       }
889     }
890     ierr = PetscFree(rvals);CHKERRQ(ierr);
891     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
892     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
893     /*
894        Everyone has to call to draw the matrix since the graphics waits are
895        synchronized across all processors that share the PetscDraw object
896     */
897     ierr = PetscViewerGetSubViewer(viewer,PETSC_COMM_SELF,&sviewer);CHKERRQ(ierr);
898     ierr = PetscObjectGetName((PetscObject)mat,&matname);CHKERRQ(ierr);
899     if (!rank) {
900       ierr = PetscObjectSetName((PetscObject)((Mat_MPISBAIJ*)(A->data))->A,matname);CHKERRQ(ierr);
901       ierr = MatView_SeqSBAIJ_ASCII(((Mat_MPISBAIJ*)(A->data))->A,sviewer);CHKERRQ(ierr);
902     }
903     ierr = PetscViewerRestoreSubViewer(viewer,PETSC_COMM_SELF,&sviewer);CHKERRQ(ierr);
904     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
905     ierr = MatDestroy(&A);CHKERRQ(ierr);
906   }
907   PetscFunctionReturn(0);
908 }
909 
910 #undef __FUNCT__
911 #define __FUNCT__ "MatView_MPISBAIJ"
912 PetscErrorCode MatView_MPISBAIJ(Mat mat,PetscViewer viewer)
913 {
914   PetscErrorCode ierr;
915   PetscBool      iascii,isdraw,issocket,isbinary;
916 
917   PetscFunctionBegin;
918   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
919   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
920   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSOCKET,&issocket);CHKERRQ(ierr);
921   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
922   if (iascii || isdraw || issocket || isbinary) {
923     ierr = MatView_MPISBAIJ_ASCIIorDraworSocket(mat,viewer);CHKERRQ(ierr);
924   }
925   PetscFunctionReturn(0);
926 }
927 
928 #undef __FUNCT__
929 #define __FUNCT__ "MatDestroy_MPISBAIJ"
930 PetscErrorCode MatDestroy_MPISBAIJ(Mat mat)
931 {
932   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
933   PetscErrorCode ierr;
934 
935   PetscFunctionBegin;
936 #if defined(PETSC_USE_LOG)
937   PetscLogObjectState((PetscObject)mat,"Rows=%D,Cols=%D",mat->rmap->N,mat->cmap->N);
938 #endif
939   ierr = MatStashDestroy_Private(&mat->stash);CHKERRQ(ierr);
940   ierr = MatStashDestroy_Private(&mat->bstash);CHKERRQ(ierr);
941   ierr = MatDestroy(&baij->A);CHKERRQ(ierr);
942   ierr = MatDestroy(&baij->B);CHKERRQ(ierr);
943 #if defined(PETSC_USE_CTABLE)
944   ierr = PetscTableDestroy(&baij->colmap);CHKERRQ(ierr);
945 #else
946   ierr = PetscFree(baij->colmap);CHKERRQ(ierr);
947 #endif
948   ierr = PetscFree(baij->garray);CHKERRQ(ierr);
949   ierr = VecDestroy(&baij->lvec);CHKERRQ(ierr);
950   ierr = VecScatterDestroy(&baij->Mvctx);CHKERRQ(ierr);
951   ierr = VecDestroy(&baij->slvec0);CHKERRQ(ierr);
952   ierr = VecDestroy(&baij->slvec0b);CHKERRQ(ierr);
953   ierr = VecDestroy(&baij->slvec1);CHKERRQ(ierr);
954   ierr = VecDestroy(&baij->slvec1a);CHKERRQ(ierr);
955   ierr = VecDestroy(&baij->slvec1b);CHKERRQ(ierr);
956   ierr = VecScatterDestroy(&baij->sMvctx);CHKERRQ(ierr);
957   ierr = PetscFree2(baij->rowvalues,baij->rowindices);CHKERRQ(ierr);
958   ierr = PetscFree(baij->barray);CHKERRQ(ierr);
959   ierr = PetscFree(baij->hd);CHKERRQ(ierr);
960   ierr = VecDestroy(&baij->diag);CHKERRQ(ierr);
961   ierr = VecDestroy(&baij->bb1);CHKERRQ(ierr);
962   ierr = VecDestroy(&baij->xx1);CHKERRQ(ierr);
963 #if defined(PETSC_USE_REAL_MAT_SINGLE)
964   ierr = PetscFree(baij->setvaluescopy);CHKERRQ(ierr);
965 #endif
966   ierr = PetscFree(baij->in_loc);CHKERRQ(ierr);
967   ierr = PetscFree(baij->v_loc);CHKERRQ(ierr);
968   ierr = PetscFree(baij->rangebs);CHKERRQ(ierr);
969   ierr = PetscFree(mat->data);CHKERRQ(ierr);
970 
971   ierr = PetscObjectChangeTypeName((PetscObject)mat,0);CHKERRQ(ierr);
972   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatStoreValues_C",NULL);CHKERRQ(ierr);
973   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatRetrieveValues_C",NULL);CHKERRQ(ierr);
974   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatGetDiagonalBlock_C",NULL);CHKERRQ(ierr);
975   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatMPISBAIJSetPreallocation_C",NULL);CHKERRQ(ierr);
976   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpisbaij_mpisbstrm_C",NULL);CHKERRQ(ierr);
977 #if defined(PETSC_HAVE_ELEMENTAL)
978   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpisbaij_elemental_C",NULL);CHKERRQ(ierr);
979 #endif
980   PetscFunctionReturn(0);
981 }
982 
983 #undef __FUNCT__
984 #define __FUNCT__ "MatMult_MPISBAIJ_Hermitian"
985 PetscErrorCode MatMult_MPISBAIJ_Hermitian(Mat A,Vec xx,Vec yy)
986 {
987   Mat_MPISBAIJ      *a = (Mat_MPISBAIJ*)A->data;
988   PetscErrorCode    ierr;
989   PetscInt          nt,mbs=a->mbs,bs=A->rmap->bs;
990   PetscScalar       *from;
991   const PetscScalar *x;
992 
993   PetscFunctionBegin;
994   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
995   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
996 
997   /* diagonal part */
998   ierr = (*a->A->ops->mult)(a->A,xx,a->slvec1a);CHKERRQ(ierr);
999   ierr = VecSet(a->slvec1b,0.0);CHKERRQ(ierr);
1000 
1001   /* subdiagonal part */
1002   ierr = (*a->B->ops->multhermitiantranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
1003 
1004   /* copy x into the vec slvec0 */
1005   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
1006   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1007 
1008   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
1009   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
1010   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1011 
1012   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1013   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1014   /* supperdiagonal part */
1015   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,yy);CHKERRQ(ierr);
1016   PetscFunctionReturn(0);
1017 }
1018 
1019 #undef __FUNCT__
1020 #define __FUNCT__ "MatMult_MPISBAIJ"
1021 PetscErrorCode MatMult_MPISBAIJ(Mat A,Vec xx,Vec yy)
1022 {
1023   Mat_MPISBAIJ      *a = (Mat_MPISBAIJ*)A->data;
1024   PetscErrorCode    ierr;
1025   PetscInt          nt,mbs=a->mbs,bs=A->rmap->bs;
1026   PetscScalar       *from;
1027   const PetscScalar *x;
1028 
1029   PetscFunctionBegin;
1030   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
1031   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
1032 
1033   /* diagonal part */
1034   ierr = (*a->A->ops->mult)(a->A,xx,a->slvec1a);CHKERRQ(ierr);
1035   ierr = VecSet(a->slvec1b,0.0);CHKERRQ(ierr);
1036 
1037   /* subdiagonal part */
1038   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
1039 
1040   /* copy x into the vec slvec0 */
1041   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
1042   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1043 
1044   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
1045   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
1046   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1047 
1048   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1049   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1050   /* supperdiagonal part */
1051   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,yy);CHKERRQ(ierr);
1052   PetscFunctionReturn(0);
1053 }
1054 
1055 #undef __FUNCT__
1056 #define __FUNCT__ "MatMult_MPISBAIJ_2comm"
1057 PetscErrorCode MatMult_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy)
1058 {
1059   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1060   PetscErrorCode ierr;
1061   PetscInt       nt;
1062 
1063   PetscFunctionBegin;
1064   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
1065   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
1066 
1067   ierr = VecGetLocalSize(yy,&nt);CHKERRQ(ierr);
1068   if (nt != A->rmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible parition of A and yy");
1069 
1070   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1071   /* do diagonal part */
1072   ierr = (*a->A->ops->mult)(a->A,xx,yy);CHKERRQ(ierr);
1073   /* do supperdiagonal part */
1074   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1075   ierr = (*a->B->ops->multadd)(a->B,a->lvec,yy,yy);CHKERRQ(ierr);
1076   /* do subdiagonal part */
1077   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1078   ierr = VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1079   ierr = VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1080   PetscFunctionReturn(0);
1081 }
1082 
1083 #undef __FUNCT__
1084 #define __FUNCT__ "MatMultAdd_MPISBAIJ"
1085 PetscErrorCode MatMultAdd_MPISBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1086 {
1087   Mat_MPISBAIJ      *a = (Mat_MPISBAIJ*)A->data;
1088   PetscErrorCode    ierr;
1089   PetscInt          mbs=a->mbs,bs=A->rmap->bs;
1090   PetscScalar       *from,zero=0.0;
1091   const PetscScalar *x;
1092 
1093   PetscFunctionBegin;
1094   /*
1095   PetscSynchronizedPrintf(PetscObjectComm((PetscObject)A)," MatMultAdd is called ...\n");
1096   PetscSynchronizedFlush(PetscObjectComm((PetscObject)A),PETSC_STDOUT);
1097   */
1098   /* diagonal part */
1099   ierr = (*a->A->ops->multadd)(a->A,xx,yy,a->slvec1a);CHKERRQ(ierr);
1100   ierr = VecSet(a->slvec1b,zero);CHKERRQ(ierr);
1101 
1102   /* subdiagonal part */
1103   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
1104 
1105   /* copy x into the vec slvec0 */
1106   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
1107   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1108   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
1109   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
1110 
1111   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1112   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1113   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1114 
1115   /* supperdiagonal part */
1116   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,zz);CHKERRQ(ierr);
1117   PetscFunctionReturn(0);
1118 }
1119 
1120 #undef __FUNCT__
1121 #define __FUNCT__ "MatMultAdd_MPISBAIJ_2comm"
1122 PetscErrorCode MatMultAdd_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy,Vec zz)
1123 {
1124   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1125   PetscErrorCode ierr;
1126 
1127   PetscFunctionBegin;
1128   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1129   /* do diagonal part */
1130   ierr = (*a->A->ops->multadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
1131   /* do supperdiagonal part */
1132   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1133   ierr = (*a->B->ops->multadd)(a->B,a->lvec,zz,zz);CHKERRQ(ierr);
1134 
1135   /* do subdiagonal part */
1136   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1137   ierr = VecScatterBegin(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1138   ierr = VecScatterEnd(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1139   PetscFunctionReturn(0);
1140 }
1141 
1142 /*
1143   This only works correctly for square matrices where the subblock A->A is the
1144    diagonal block
1145 */
1146 #undef __FUNCT__
1147 #define __FUNCT__ "MatGetDiagonal_MPISBAIJ"
1148 PetscErrorCode MatGetDiagonal_MPISBAIJ(Mat A,Vec v)
1149 {
1150   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1151   PetscErrorCode ierr;
1152 
1153   PetscFunctionBegin;
1154   /* if (a->rmap->N != a->cmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Supports only square matrix where A->A is diag block"); */
1155   ierr = MatGetDiagonal(a->A,v);CHKERRQ(ierr);
1156   PetscFunctionReturn(0);
1157 }
1158 
1159 #undef __FUNCT__
1160 #define __FUNCT__ "MatScale_MPISBAIJ"
1161 PetscErrorCode MatScale_MPISBAIJ(Mat A,PetscScalar aa)
1162 {
1163   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1164   PetscErrorCode ierr;
1165 
1166   PetscFunctionBegin;
1167   ierr = MatScale(a->A,aa);CHKERRQ(ierr);
1168   ierr = MatScale(a->B,aa);CHKERRQ(ierr);
1169   PetscFunctionReturn(0);
1170 }
1171 
1172 #undef __FUNCT__
1173 #define __FUNCT__ "MatGetRow_MPISBAIJ"
1174 PetscErrorCode MatGetRow_MPISBAIJ(Mat matin,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1175 {
1176   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
1177   PetscScalar    *vworkA,*vworkB,**pvA,**pvB,*v_p;
1178   PetscErrorCode ierr;
1179   PetscInt       bs = matin->rmap->bs,bs2 = mat->bs2,i,*cworkA,*cworkB,**pcA,**pcB;
1180   PetscInt       nztot,nzA,nzB,lrow,brstart = matin->rmap->rstart,brend = matin->rmap->rend;
1181   PetscInt       *cmap,*idx_p,cstart = mat->rstartbs;
1182 
1183   PetscFunctionBegin;
1184   if (mat->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Already active");
1185   mat->getrowactive = PETSC_TRUE;
1186 
1187   if (!mat->rowvalues && (idx || v)) {
1188     /*
1189         allocate enough space to hold information from the longest row.
1190     */
1191     Mat_SeqSBAIJ *Aa = (Mat_SeqSBAIJ*)mat->A->data;
1192     Mat_SeqBAIJ  *Ba = (Mat_SeqBAIJ*)mat->B->data;
1193     PetscInt     max = 1,mbs = mat->mbs,tmp;
1194     for (i=0; i<mbs; i++) {
1195       tmp = Aa->i[i+1] - Aa->i[i] + Ba->i[i+1] - Ba->i[i]; /* row length */
1196       if (max < tmp) max = tmp;
1197     }
1198     ierr = PetscMalloc2(max*bs2,&mat->rowvalues,max*bs2,&mat->rowindices);CHKERRQ(ierr);
1199   }
1200 
1201   if (row < brstart || row >= brend) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local rows");
1202   lrow = row - brstart;  /* local row index */
1203 
1204   pvA = &vworkA; pcA = &cworkA; pvB = &vworkB; pcB = &cworkB;
1205   if (!v)   {pvA = 0; pvB = 0;}
1206   if (!idx) {pcA = 0; if (!v) pcB = 0;}
1207   ierr  = (*mat->A->ops->getrow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1208   ierr  = (*mat->B->ops->getrow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1209   nztot = nzA + nzB;
1210 
1211   cmap = mat->garray;
1212   if (v  || idx) {
1213     if (nztot) {
1214       /* Sort by increasing column numbers, assuming A and B already sorted */
1215       PetscInt imark = -1;
1216       if (v) {
1217         *v = v_p = mat->rowvalues;
1218         for (i=0; i<nzB; i++) {
1219           if (cmap[cworkB[i]/bs] < cstart) v_p[i] = vworkB[i];
1220           else break;
1221         }
1222         imark = i;
1223         for (i=0; i<nzA; i++)     v_p[imark+i] = vworkA[i];
1224         for (i=imark; i<nzB; i++) v_p[nzA+i]   = vworkB[i];
1225       }
1226       if (idx) {
1227         *idx = idx_p = mat->rowindices;
1228         if (imark > -1) {
1229           for (i=0; i<imark; i++) {
1230             idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1231           }
1232         } else {
1233           for (i=0; i<nzB; i++) {
1234             if (cmap[cworkB[i]/bs] < cstart) idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1235             else break;
1236           }
1237           imark = i;
1238         }
1239         for (i=0; i<nzA; i++)     idx_p[imark+i] = cstart*bs + cworkA[i];
1240         for (i=imark; i<nzB; i++) idx_p[nzA+i]   = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1241       }
1242     } else {
1243       if (idx) *idx = 0;
1244       if (v)   *v   = 0;
1245     }
1246   }
1247   *nz  = nztot;
1248   ierr = (*mat->A->ops->restorerow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1249   ierr = (*mat->B->ops->restorerow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1250   PetscFunctionReturn(0);
1251 }
1252 
1253 #undef __FUNCT__
1254 #define __FUNCT__ "MatRestoreRow_MPISBAIJ"
1255 PetscErrorCode MatRestoreRow_MPISBAIJ(Mat mat,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1256 {
1257   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
1258 
1259   PetscFunctionBegin;
1260   if (!baij->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"MatGetRow() must be called first");
1261   baij->getrowactive = PETSC_FALSE;
1262   PetscFunctionReturn(0);
1263 }
1264 
1265 #undef __FUNCT__
1266 #define __FUNCT__ "MatGetRowUpperTriangular_MPISBAIJ"
1267 PetscErrorCode MatGetRowUpperTriangular_MPISBAIJ(Mat A)
1268 {
1269   Mat_MPISBAIJ *a  = (Mat_MPISBAIJ*)A->data;
1270   Mat_SeqSBAIJ *aA = (Mat_SeqSBAIJ*)a->A->data;
1271 
1272   PetscFunctionBegin;
1273   aA->getrow_utriangular = PETSC_TRUE;
1274   PetscFunctionReturn(0);
1275 }
1276 #undef __FUNCT__
1277 #define __FUNCT__ "MatRestoreRowUpperTriangular_MPISBAIJ"
1278 PetscErrorCode MatRestoreRowUpperTriangular_MPISBAIJ(Mat A)
1279 {
1280   Mat_MPISBAIJ *a  = (Mat_MPISBAIJ*)A->data;
1281   Mat_SeqSBAIJ *aA = (Mat_SeqSBAIJ*)a->A->data;
1282 
1283   PetscFunctionBegin;
1284   aA->getrow_utriangular = PETSC_FALSE;
1285   PetscFunctionReturn(0);
1286 }
1287 
1288 #undef __FUNCT__
1289 #define __FUNCT__ "MatRealPart_MPISBAIJ"
1290 PetscErrorCode MatRealPart_MPISBAIJ(Mat A)
1291 {
1292   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1293   PetscErrorCode ierr;
1294 
1295   PetscFunctionBegin;
1296   ierr = MatRealPart(a->A);CHKERRQ(ierr);
1297   ierr = MatRealPart(a->B);CHKERRQ(ierr);
1298   PetscFunctionReturn(0);
1299 }
1300 
1301 #undef __FUNCT__
1302 #define __FUNCT__ "MatImaginaryPart_MPISBAIJ"
1303 PetscErrorCode MatImaginaryPart_MPISBAIJ(Mat A)
1304 {
1305   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1306   PetscErrorCode ierr;
1307 
1308   PetscFunctionBegin;
1309   ierr = MatImaginaryPart(a->A);CHKERRQ(ierr);
1310   ierr = MatImaginaryPart(a->B);CHKERRQ(ierr);
1311   PetscFunctionReturn(0);
1312 }
1313 
1314 /* Check if isrow is a subset of iscol_local, called by MatGetSubMatrix_MPISBAIJ()
1315    Input: isrow       - distributed(parallel),
1316           iscol_local - locally owned (seq)
1317 */
1318 #undef __FUNCT__
1319 #define __FUNCT__ "ISEqual_private"
1320 PetscErrorCode ISEqual_private(IS isrow,IS iscol_local,PetscBool  *flg)
1321 {
1322   PetscErrorCode ierr;
1323   PetscInt       sz1,sz2,*a1,*a2,i,j,k,nmatch;
1324   const PetscInt *ptr1,*ptr2;
1325 
1326   PetscFunctionBegin;
1327   ierr = ISGetLocalSize(isrow,&sz1);CHKERRQ(ierr);
1328   ierr = ISGetLocalSize(iscol_local,&sz2);CHKERRQ(ierr);
1329   if (sz1 > sz2) {
1330     *flg = PETSC_FALSE;
1331     PetscFunctionReturn(0);
1332   }
1333 
1334   ierr = ISGetIndices(isrow,&ptr1);CHKERRQ(ierr);
1335   ierr = ISGetIndices(iscol_local,&ptr2);CHKERRQ(ierr);
1336 
1337   ierr = PetscMalloc1(sz1,&a1);CHKERRQ(ierr);
1338   ierr = PetscMalloc1(sz2,&a2);CHKERRQ(ierr);
1339   ierr = PetscMemcpy(a1,ptr1,sz1*sizeof(PetscInt));CHKERRQ(ierr);
1340   ierr = PetscMemcpy(a2,ptr2,sz2*sizeof(PetscInt));CHKERRQ(ierr);
1341   ierr = PetscSortInt(sz1,a1);CHKERRQ(ierr);
1342   ierr = PetscSortInt(sz2,a2);CHKERRQ(ierr);
1343 
1344   nmatch=0;
1345   k     = 0;
1346   for (i=0; i<sz1; i++){
1347     for (j=k; j<sz2; j++){
1348       if (a1[i] == a2[j]) {
1349         k = j; nmatch++;
1350         break;
1351       }
1352     }
1353   }
1354   ierr = ISRestoreIndices(isrow,&ptr1);CHKERRQ(ierr);
1355   ierr = ISRestoreIndices(iscol_local,&ptr2);CHKERRQ(ierr);
1356   ierr = PetscFree(a1);CHKERRQ(ierr);
1357   ierr = PetscFree(a2);CHKERRQ(ierr);
1358   if (nmatch < sz1) {
1359     *flg = PETSC_FALSE;
1360   } else {
1361     *flg = PETSC_TRUE;
1362   }
1363   PetscFunctionReturn(0);
1364 }
1365 
1366 #undef __FUNCT__
1367 #define __FUNCT__ "MatGetSubMatrix_MPISBAIJ"
1368 PetscErrorCode MatGetSubMatrix_MPISBAIJ(Mat mat,IS isrow,IS iscol,MatReuse call,Mat *newmat)
1369 {
1370   PetscErrorCode ierr;
1371   IS             iscol_local;
1372   PetscInt       csize;
1373   PetscBool      isequal;
1374 
1375   PetscFunctionBegin;
1376   ierr = ISGetLocalSize(iscol,&csize);CHKERRQ(ierr);
1377   if (call == MAT_REUSE_MATRIX) {
1378     ierr = PetscObjectQuery((PetscObject)*newmat,"ISAllGather",(PetscObject*)&iscol_local);CHKERRQ(ierr);
1379     if (!iscol_local) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Submatrix passed in was not used before, cannot reuse");
1380   } else {
1381     ierr = ISAllGather(iscol,&iscol_local);CHKERRQ(ierr);
1382     ierr = ISEqual_private(isrow,iscol_local,&isequal);CHKERRQ(ierr);
1383     if (!isequal) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"For symmetric format, iscol must equal isrow");
1384   }
1385 
1386   /* now call MatGetSubMatrix_MPIBAIJ() */
1387   ierr = MatGetSubMatrix_MPIBAIJ_Private(mat,isrow,iscol_local,csize,call,newmat);CHKERRQ(ierr);
1388   if (call == MAT_INITIAL_MATRIX) {
1389     ierr = PetscObjectCompose((PetscObject)*newmat,"ISAllGather",(PetscObject)iscol_local);CHKERRQ(ierr);
1390     ierr = ISDestroy(&iscol_local);CHKERRQ(ierr);
1391   }
1392   PetscFunctionReturn(0);
1393 }
1394 
1395 #undef __FUNCT__
1396 #define __FUNCT__ "MatZeroEntries_MPISBAIJ"
1397 PetscErrorCode MatZeroEntries_MPISBAIJ(Mat A)
1398 {
1399   Mat_MPISBAIJ   *l = (Mat_MPISBAIJ*)A->data;
1400   PetscErrorCode ierr;
1401 
1402   PetscFunctionBegin;
1403   ierr = MatZeroEntries(l->A);CHKERRQ(ierr);
1404   ierr = MatZeroEntries(l->B);CHKERRQ(ierr);
1405   PetscFunctionReturn(0);
1406 }
1407 
1408 #undef __FUNCT__
1409 #define __FUNCT__ "MatGetInfo_MPISBAIJ"
1410 PetscErrorCode MatGetInfo_MPISBAIJ(Mat matin,MatInfoType flag,MatInfo *info)
1411 {
1412   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)matin->data;
1413   Mat            A  = a->A,B = a->B;
1414   PetscErrorCode ierr;
1415   PetscReal      isend[5],irecv[5];
1416 
1417   PetscFunctionBegin;
1418   info->block_size = (PetscReal)matin->rmap->bs;
1419 
1420   ierr = MatGetInfo(A,MAT_LOCAL,info);CHKERRQ(ierr);
1421 
1422   isend[0] = info->nz_used; isend[1] = info->nz_allocated; isend[2] = info->nz_unneeded;
1423   isend[3] = info->memory;  isend[4] = info->mallocs;
1424 
1425   ierr = MatGetInfo(B,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   if (flag == MAT_LOCAL) {
1430     info->nz_used      = isend[0];
1431     info->nz_allocated = isend[1];
1432     info->nz_unneeded  = isend[2];
1433     info->memory       = isend[3];
1434     info->mallocs      = isend[4];
1435   } else if (flag == MAT_GLOBAL_MAX) {
1436     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)matin));CHKERRQ(ierr);
1437 
1438     info->nz_used      = irecv[0];
1439     info->nz_allocated = irecv[1];
1440     info->nz_unneeded  = irecv[2];
1441     info->memory       = irecv[3];
1442     info->mallocs      = irecv[4];
1443   } else if (flag == MAT_GLOBAL_SUM) {
1444     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)matin));CHKERRQ(ierr);
1445 
1446     info->nz_used      = irecv[0];
1447     info->nz_allocated = irecv[1];
1448     info->nz_unneeded  = irecv[2];
1449     info->memory       = irecv[3];
1450     info->mallocs      = irecv[4];
1451   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Unknown MatInfoType argument %d",(int)flag);
1452   info->fill_ratio_given  = 0; /* no parallel LU/ILU/Cholesky */
1453   info->fill_ratio_needed = 0;
1454   info->factor_mallocs    = 0;
1455   PetscFunctionReturn(0);
1456 }
1457 
1458 #undef __FUNCT__
1459 #define __FUNCT__ "MatSetOption_MPISBAIJ"
1460 PetscErrorCode MatSetOption_MPISBAIJ(Mat A,MatOption op,PetscBool flg)
1461 {
1462   Mat_MPISBAIJ   *a  = (Mat_MPISBAIJ*)A->data;
1463   Mat_SeqSBAIJ   *aA = (Mat_SeqSBAIJ*)a->A->data;
1464   PetscErrorCode ierr;
1465 
1466   PetscFunctionBegin;
1467   switch (op) {
1468   case MAT_NEW_NONZERO_LOCATIONS:
1469   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1470   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1471   case MAT_KEEP_NONZERO_PATTERN:
1472   case MAT_NEW_NONZERO_LOCATION_ERR:
1473     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1474     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1475     break;
1476   case MAT_ROW_ORIENTED:
1477     a->roworiented = flg;
1478 
1479     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1480     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1481     break;
1482   case MAT_NEW_DIAGONALS:
1483     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1484     break;
1485   case MAT_IGNORE_OFF_PROC_ENTRIES:
1486     a->donotstash = flg;
1487     break;
1488   case MAT_USE_HASH_TABLE:
1489     a->ht_flag = flg;
1490     break;
1491   case MAT_HERMITIAN:
1492     if (!A->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call MatAssemblyEnd() first");
1493     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1494 
1495     A->ops->mult = MatMult_MPISBAIJ_Hermitian;
1496     break;
1497   case MAT_SPD:
1498     A->spd_set = PETSC_TRUE;
1499     A->spd     = flg;
1500     if (flg) {
1501       A->symmetric                  = PETSC_TRUE;
1502       A->structurally_symmetric     = PETSC_TRUE;
1503       A->symmetric_set              = PETSC_TRUE;
1504       A->structurally_symmetric_set = PETSC_TRUE;
1505     }
1506     break;
1507   case MAT_SYMMETRIC:
1508     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1509     break;
1510   case MAT_STRUCTURALLY_SYMMETRIC:
1511     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1512     break;
1513   case MAT_SYMMETRY_ETERNAL:
1514     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Matrix must be symmetric");
1515     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1516     break;
1517   case MAT_IGNORE_LOWER_TRIANGULAR:
1518     aA->ignore_ltriangular = flg;
1519     break;
1520   case MAT_ERROR_LOWER_TRIANGULAR:
1521     aA->ignore_ltriangular = flg;
1522     break;
1523   case MAT_GETROW_UPPERTRIANGULAR:
1524     aA->getrow_utriangular = flg;
1525     break;
1526   default:
1527     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
1528   }
1529   PetscFunctionReturn(0);
1530 }
1531 
1532 #undef __FUNCT__
1533 #define __FUNCT__ "MatTranspose_MPISBAIJ"
1534 PetscErrorCode MatTranspose_MPISBAIJ(Mat A,MatReuse reuse,Mat *B)
1535 {
1536   PetscErrorCode ierr;
1537 
1538   PetscFunctionBegin;
1539   if (MAT_INITIAL_MATRIX || *B != A) {
1540     ierr = MatDuplicate(A,MAT_COPY_VALUES,B);CHKERRQ(ierr);
1541   }
1542   PetscFunctionReturn(0);
1543 }
1544 
1545 #undef __FUNCT__
1546 #define __FUNCT__ "MatDiagonalScale_MPISBAIJ"
1547 PetscErrorCode MatDiagonalScale_MPISBAIJ(Mat mat,Vec ll,Vec rr)
1548 {
1549   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
1550   Mat            a     = baij->A, b=baij->B;
1551   PetscErrorCode ierr;
1552   PetscInt       nv,m,n;
1553   PetscBool      flg;
1554 
1555   PetscFunctionBegin;
1556   if (ll != rr) {
1557     ierr = VecEqual(ll,rr,&flg);CHKERRQ(ierr);
1558     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"For symmetric format, left and right scaling vectors must be same\n");
1559   }
1560   if (!ll) PetscFunctionReturn(0);
1561 
1562   ierr = MatGetLocalSize(mat,&m,&n);CHKERRQ(ierr);
1563   if (m != n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"For symmetric format, local size %d %d must be same",m,n);
1564 
1565   ierr = VecGetLocalSize(rr,&nv);CHKERRQ(ierr);
1566   if (nv!=n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Left and right vector non-conforming local size");
1567 
1568   ierr = VecScatterBegin(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1569 
1570   /* left diagonalscale the off-diagonal part */
1571   ierr = (*b->ops->diagonalscale)(b,ll,NULL);CHKERRQ(ierr);
1572 
1573   /* scale the diagonal part */
1574   ierr = (*a->ops->diagonalscale)(a,ll,rr);CHKERRQ(ierr);
1575 
1576   /* right diagonalscale the off-diagonal part */
1577   ierr = VecScatterEnd(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1578   ierr = (*b->ops->diagonalscale)(b,NULL,baij->lvec);CHKERRQ(ierr);
1579   PetscFunctionReturn(0);
1580 }
1581 
1582 #undef __FUNCT__
1583 #define __FUNCT__ "MatSetUnfactored_MPISBAIJ"
1584 PetscErrorCode MatSetUnfactored_MPISBAIJ(Mat A)
1585 {
1586   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1587   PetscErrorCode ierr;
1588 
1589   PetscFunctionBegin;
1590   ierr = MatSetUnfactored(a->A);CHKERRQ(ierr);
1591   PetscFunctionReturn(0);
1592 }
1593 
1594 static PetscErrorCode MatDuplicate_MPISBAIJ(Mat,MatDuplicateOption,Mat*);
1595 
1596 #undef __FUNCT__
1597 #define __FUNCT__ "MatEqual_MPISBAIJ"
1598 PetscErrorCode MatEqual_MPISBAIJ(Mat A,Mat B,PetscBool  *flag)
1599 {
1600   Mat_MPISBAIJ   *matB = (Mat_MPISBAIJ*)B->data,*matA = (Mat_MPISBAIJ*)A->data;
1601   Mat            a,b,c,d;
1602   PetscBool      flg;
1603   PetscErrorCode ierr;
1604 
1605   PetscFunctionBegin;
1606   a = matA->A; b = matA->B;
1607   c = matB->A; d = matB->B;
1608 
1609   ierr = MatEqual(a,c,&flg);CHKERRQ(ierr);
1610   if (flg) {
1611     ierr = MatEqual(b,d,&flg);CHKERRQ(ierr);
1612   }
1613   ierr = MPI_Allreduce(&flg,flag,1,MPIU_BOOL,MPI_LAND,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
1614   PetscFunctionReturn(0);
1615 }
1616 
1617 #undef __FUNCT__
1618 #define __FUNCT__ "MatCopy_MPISBAIJ"
1619 PetscErrorCode MatCopy_MPISBAIJ(Mat A,Mat B,MatStructure str)
1620 {
1621   PetscErrorCode ierr;
1622   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1623   Mat_MPISBAIJ   *b = (Mat_MPISBAIJ*)B->data;
1624 
1625   PetscFunctionBegin;
1626   /* If the two matrices don't have the same copy implementation, they aren't compatible for fast copy. */
1627   if ((str != SAME_NONZERO_PATTERN) || (A->ops->copy != B->ops->copy)) {
1628     ierr = MatGetRowUpperTriangular(A);CHKERRQ(ierr);
1629     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
1630     ierr = MatRestoreRowUpperTriangular(A);CHKERRQ(ierr);
1631   } else {
1632     ierr = MatCopy(a->A,b->A,str);CHKERRQ(ierr);
1633     ierr = MatCopy(a->B,b->B,str);CHKERRQ(ierr);
1634   }
1635   PetscFunctionReturn(0);
1636 }
1637 
1638 #undef __FUNCT__
1639 #define __FUNCT__ "MatSetUp_MPISBAIJ"
1640 PetscErrorCode MatSetUp_MPISBAIJ(Mat A)
1641 {
1642   PetscErrorCode ierr;
1643 
1644   PetscFunctionBegin;
1645   ierr = MatMPISBAIJSetPreallocation(A,A->rmap->bs,PETSC_DEFAULT,0,PETSC_DEFAULT,0);CHKERRQ(ierr);
1646   PetscFunctionReturn(0);
1647 }
1648 
1649 #undef __FUNCT__
1650 #define __FUNCT__ "MatAXPY_MPISBAIJ"
1651 PetscErrorCode MatAXPY_MPISBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
1652 {
1653   PetscErrorCode ierr;
1654   Mat_MPISBAIJ   *xx=(Mat_MPISBAIJ*)X->data,*yy=(Mat_MPISBAIJ*)Y->data;
1655   PetscBLASInt   bnz,one=1;
1656   Mat_SeqSBAIJ   *xa,*ya;
1657   Mat_SeqBAIJ    *xb,*yb;
1658 
1659   PetscFunctionBegin;
1660   if (str == SAME_NONZERO_PATTERN) {
1661     PetscScalar alpha = a;
1662     xa   = (Mat_SeqSBAIJ*)xx->A->data;
1663     ya   = (Mat_SeqSBAIJ*)yy->A->data;
1664     ierr = PetscBLASIntCast(xa->nz,&bnz);CHKERRQ(ierr);
1665     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,xa->a,&one,ya->a,&one));
1666     xb   = (Mat_SeqBAIJ*)xx->B->data;
1667     yb   = (Mat_SeqBAIJ*)yy->B->data;
1668     ierr = PetscBLASIntCast(xb->nz,&bnz);CHKERRQ(ierr);
1669     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,xb->a,&one,yb->a,&one));
1670     ierr = PetscObjectStateIncrease((PetscObject)Y);CHKERRQ(ierr);
1671   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
1672     ierr = MatSetOption(X,MAT_GETROW_UPPERTRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
1673     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
1674     ierr = MatSetOption(X,MAT_GETROW_UPPERTRIANGULAR,PETSC_FALSE);CHKERRQ(ierr);
1675   } else {
1676     Mat      B;
1677     PetscInt *nnz_d,*nnz_o,bs=Y->rmap->bs;
1678     if (bs != X->rmap->bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Matrices must have same block size");
1679     ierr = MatGetRowUpperTriangular(X);CHKERRQ(ierr);
1680     ierr = MatGetRowUpperTriangular(Y);CHKERRQ(ierr);
1681     ierr = PetscMalloc1(yy->A->rmap->N,&nnz_d);CHKERRQ(ierr);
1682     ierr = PetscMalloc1(yy->B->rmap->N,&nnz_o);CHKERRQ(ierr);
1683     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
1684     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
1685     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
1686     ierr = MatSetBlockSizesFromMats(B,Y,Y);CHKERRQ(ierr);
1687     ierr = MatSetType(B,MATMPISBAIJ);CHKERRQ(ierr);
1688     ierr = MatAXPYGetPreallocation_SeqSBAIJ(yy->A,xx->A,nnz_d);CHKERRQ(ierr);
1689     ierr = MatAXPYGetPreallocation_MPIBAIJ(yy->B,yy->garray,xx->B,xx->garray,nnz_o);CHKERRQ(ierr);
1690     ierr = MatMPISBAIJSetPreallocation(B,bs,0,nnz_d,0,nnz_o);CHKERRQ(ierr);
1691     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
1692     ierr = MatHeaderReplace(Y,&B);CHKERRQ(ierr);
1693     ierr = PetscFree(nnz_d);CHKERRQ(ierr);
1694     ierr = PetscFree(nnz_o);CHKERRQ(ierr);
1695     ierr = MatRestoreRowUpperTriangular(X);CHKERRQ(ierr);
1696     ierr = MatRestoreRowUpperTriangular(Y);CHKERRQ(ierr);
1697   }
1698   PetscFunctionReturn(0);
1699 }
1700 
1701 #undef __FUNCT__
1702 #define __FUNCT__ "MatGetSubMatrices_MPISBAIJ"
1703 PetscErrorCode MatGetSubMatrices_MPISBAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
1704 {
1705   PetscErrorCode ierr;
1706   PetscInt       i;
1707   PetscBool      flg,sorted;
1708 
1709   PetscFunctionBegin;
1710   for (i = 0; i < n; i++) {
1711     ierr = ISSorted(irow[i],&sorted);CHKERRQ(ierr);
1712     if (!sorted) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Row index set %d not sorted",i);
1713     ierr = ISSorted(icol[i],&sorted);CHKERRQ(ierr);
1714     if (!sorted) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Column index set %d not sorted",i);
1715   }
1716   ierr = MatGetSubMatrices_MPIBAIJ(A,n,irow,icol,scall,B);CHKERRQ(ierr);
1717   for (i=0; i<n; i++) {
1718     ierr = ISEqual(irow[i],icol[i],&flg);CHKERRQ(ierr);
1719     if (!flg) { /* *B[i] is non-symmetric, set flag */
1720       ierr = MatSetOption(*B[i],MAT_SYMMETRIC,PETSC_FALSE);CHKERRQ(ierr);
1721     }
1722   }
1723   PetscFunctionReturn(0);
1724 }
1725 
1726 #undef __FUNCT__
1727 #define __FUNCT__ "MatShift_MPISBAIJ"
1728 PetscErrorCode MatShift_MPISBAIJ(Mat Y,PetscScalar a)
1729 {
1730   PetscErrorCode ierr;
1731   Mat_MPISBAIJ    *maij = (Mat_MPISBAIJ*)Y->data;
1732   Mat_SeqSBAIJ    *aij = (Mat_SeqSBAIJ*)maij->A->data;
1733 
1734   PetscFunctionBegin;
1735   if (!Y->preallocated) {
1736     ierr = MatMPISBAIJSetPreallocation(Y,Y->rmap->bs,1,NULL,0,NULL);CHKERRQ(ierr);
1737   } else if (!aij->nz) {
1738     ierr = MatSeqSBAIJSetPreallocation(maij->A,Y->rmap->bs,1,NULL);CHKERRQ(ierr);
1739   }
1740   ierr = MatShift_Basic(Y,a);CHKERRQ(ierr);
1741   PetscFunctionReturn(0);
1742 }
1743 
1744 #undef __FUNCT__
1745 #define __FUNCT__ "MatMissingDiagonal_MPISBAIJ"
1746 PetscErrorCode MatMissingDiagonal_MPISBAIJ(Mat A,PetscBool  *missing,PetscInt *d)
1747 {
1748   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1749   PetscErrorCode ierr;
1750 
1751   PetscFunctionBegin;
1752   if (A->rmap->n != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only works for square matrices");
1753   ierr = MatMissingDiagonal(a->A,missing,d);CHKERRQ(ierr);
1754   if (d) {
1755     PetscInt rstart;
1756     ierr = MatGetOwnershipRange(A,&rstart,NULL);CHKERRQ(ierr);
1757     *d += rstart/A->rmap->bs;
1758 
1759   }
1760   PetscFunctionReturn(0);
1761 }
1762 
1763 
1764 /* -------------------------------------------------------------------*/
1765 static struct _MatOps MatOps_Values = {MatSetValues_MPISBAIJ,
1766                                        MatGetRow_MPISBAIJ,
1767                                        MatRestoreRow_MPISBAIJ,
1768                                        MatMult_MPISBAIJ,
1769                                /*  4*/ MatMultAdd_MPISBAIJ,
1770                                        MatMult_MPISBAIJ,       /* transpose versions are same as non-transpose */
1771                                        MatMultAdd_MPISBAIJ,
1772                                        0,
1773                                        0,
1774                                        0,
1775                                /* 10*/ 0,
1776                                        0,
1777                                        0,
1778                                        MatSOR_MPISBAIJ,
1779                                        MatTranspose_MPISBAIJ,
1780                                /* 15*/ MatGetInfo_MPISBAIJ,
1781                                        MatEqual_MPISBAIJ,
1782                                        MatGetDiagonal_MPISBAIJ,
1783                                        MatDiagonalScale_MPISBAIJ,
1784                                        MatNorm_MPISBAIJ,
1785                                /* 20*/ MatAssemblyBegin_MPISBAIJ,
1786                                        MatAssemblyEnd_MPISBAIJ,
1787                                        MatSetOption_MPISBAIJ,
1788                                        MatZeroEntries_MPISBAIJ,
1789                                /* 24*/ 0,
1790                                        0,
1791                                        0,
1792                                        0,
1793                                        0,
1794                                /* 29*/ MatSetUp_MPISBAIJ,
1795                                        0,
1796                                        0,
1797                                        0,
1798                                        0,
1799                                /* 34*/ MatDuplicate_MPISBAIJ,
1800                                        0,
1801                                        0,
1802                                        0,
1803                                        0,
1804                                /* 39*/ MatAXPY_MPISBAIJ,
1805                                        MatGetSubMatrices_MPISBAIJ,
1806                                        MatIncreaseOverlap_MPISBAIJ,
1807                                        MatGetValues_MPISBAIJ,
1808                                        MatCopy_MPISBAIJ,
1809                                /* 44*/ 0,
1810                                        MatScale_MPISBAIJ,
1811                                        MatShift_MPISBAIJ,
1812                                        0,
1813                                        0,
1814                                /* 49*/ 0,
1815                                        0,
1816                                        0,
1817                                        0,
1818                                        0,
1819                                /* 54*/ 0,
1820                                        0,
1821                                        MatSetUnfactored_MPISBAIJ,
1822                                        0,
1823                                        MatSetValuesBlocked_MPISBAIJ,
1824                                /* 59*/ MatGetSubMatrix_MPISBAIJ,
1825                                        0,
1826                                        0,
1827                                        0,
1828                                        0,
1829                                /* 64*/ 0,
1830                                        0,
1831                                        0,
1832                                        0,
1833                                        0,
1834                                /* 69*/ MatGetRowMaxAbs_MPISBAIJ,
1835                                        0,
1836                                        0,
1837                                        0,
1838                                        0,
1839                                /* 74*/ 0,
1840                                        0,
1841                                        0,
1842                                        0,
1843                                        0,
1844                                /* 79*/ 0,
1845                                        0,
1846                                        0,
1847                                        0,
1848                                        MatLoad_MPISBAIJ,
1849                                /* 84*/ 0,
1850                                        0,
1851                                        0,
1852                                        0,
1853                                        0,
1854                                /* 89*/ 0,
1855                                        0,
1856                                        0,
1857                                        0,
1858                                        0,
1859                                /* 94*/ 0,
1860                                        0,
1861                                        0,
1862                                        0,
1863                                        0,
1864                                /* 99*/ 0,
1865                                        0,
1866                                        0,
1867                                        0,
1868                                        0,
1869                                /*104*/ 0,
1870                                        MatRealPart_MPISBAIJ,
1871                                        MatImaginaryPart_MPISBAIJ,
1872                                        MatGetRowUpperTriangular_MPISBAIJ,
1873                                        MatRestoreRowUpperTriangular_MPISBAIJ,
1874                                /*109*/ 0,
1875                                        0,
1876                                        0,
1877                                        0,
1878                                        MatMissingDiagonal_MPISBAIJ,
1879                                /*114*/ 0,
1880                                        0,
1881                                        0,
1882                                        0,
1883                                        0,
1884                                /*119*/ 0,
1885                                        0,
1886                                        0,
1887                                        0,
1888                                        0,
1889                                /*124*/ 0,
1890                                        0,
1891                                        0,
1892                                        0,
1893                                        0,
1894                                /*129*/ 0,
1895                                        0,
1896                                        0,
1897                                        0,
1898                                        0,
1899                                /*134*/ 0,
1900                                        0,
1901                                        0,
1902                                        0,
1903                                        0,
1904                                /*139*/ 0,
1905                                        0,
1906                                        0,
1907                                        0,
1908                                        0,
1909                                 /*144*/MatCreateMPIMatConcatenateSeqMat_MPISBAIJ
1910 };
1911 
1912 #undef __FUNCT__
1913 #define __FUNCT__ "MatGetDiagonalBlock_MPISBAIJ"
1914 PetscErrorCode  MatGetDiagonalBlock_MPISBAIJ(Mat A,Mat *a)
1915 {
1916   PetscFunctionBegin;
1917   *a = ((Mat_MPISBAIJ*)A->data)->A;
1918   PetscFunctionReturn(0);
1919 }
1920 
1921 #undef __FUNCT__
1922 #define __FUNCT__ "MatMPISBAIJSetPreallocation_MPISBAIJ"
1923 PetscErrorCode  MatMPISBAIJSetPreallocation_MPISBAIJ(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt *d_nnz,PetscInt o_nz,const PetscInt *o_nnz)
1924 {
1925   Mat_MPISBAIJ   *b;
1926   PetscErrorCode ierr;
1927   PetscInt       i,mbs,Mbs;
1928 
1929   PetscFunctionBegin;
1930   ierr = MatSetBlockSize(B,PetscAbs(bs));CHKERRQ(ierr);
1931   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1932   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1933   ierr = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
1934 
1935   b   = (Mat_MPISBAIJ*)B->data;
1936   mbs = B->rmap->n/bs;
1937   Mbs = B->rmap->N/bs;
1938   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);
1939 
1940   B->rmap->bs = bs;
1941   b->bs2      = bs*bs;
1942   b->mbs      = mbs;
1943   b->Mbs      = Mbs;
1944   b->nbs      = B->cmap->n/bs;
1945   b->Nbs      = B->cmap->N/bs;
1946 
1947   for (i=0; i<=b->size; i++) {
1948     b->rangebs[i] = B->rmap->range[i]/bs;
1949   }
1950   b->rstartbs = B->rmap->rstart/bs;
1951   b->rendbs   = B->rmap->rend/bs;
1952 
1953   b->cstartbs = B->cmap->rstart/bs;
1954   b->cendbs   = B->cmap->rend/bs;
1955 
1956   if (!B->preallocated) {
1957     ierr = MatCreate(PETSC_COMM_SELF,&b->A);CHKERRQ(ierr);
1958     ierr = MatSetSizes(b->A,B->rmap->n,B->cmap->n,B->rmap->n,B->cmap->n);CHKERRQ(ierr);
1959     ierr = MatSetType(b->A,MATSEQSBAIJ);CHKERRQ(ierr);
1960     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->A);CHKERRQ(ierr);
1961     ierr = MatCreate(PETSC_COMM_SELF,&b->B);CHKERRQ(ierr);
1962     ierr = MatSetSizes(b->B,B->rmap->n,B->cmap->N,B->rmap->n,B->cmap->N);CHKERRQ(ierr);
1963     ierr = MatSetType(b->B,MATSEQBAIJ);CHKERRQ(ierr);
1964     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->B);CHKERRQ(ierr);
1965     ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),bs,&B->bstash);CHKERRQ(ierr);
1966   }
1967 
1968   ierr = MatSeqSBAIJSetPreallocation(b->A,bs,d_nz,d_nnz);CHKERRQ(ierr);
1969   ierr = MatSeqBAIJSetPreallocation(b->B,bs,o_nz,o_nnz);CHKERRQ(ierr);
1970 
1971   B->preallocated = PETSC_TRUE;
1972   PetscFunctionReturn(0);
1973 }
1974 
1975 #undef __FUNCT__
1976 #define __FUNCT__ "MatMPISBAIJSetPreallocationCSR_MPISBAIJ"
1977 PetscErrorCode MatMPISBAIJSetPreallocationCSR_MPISBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
1978 {
1979   PetscInt       m,rstart,cstart,cend;
1980   PetscInt       i,j,d,nz,nz_max=0,*d_nnz=0,*o_nnz=0;
1981   const PetscInt *JJ    =0;
1982   PetscScalar    *values=0;
1983   PetscErrorCode ierr;
1984 
1985   PetscFunctionBegin;
1986   if (bs < 1) SETERRQ1(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive but it is %D",bs);
1987   ierr   = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
1988   ierr   = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
1989   ierr   = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1990   ierr   = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1991   ierr   = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
1992   m      = B->rmap->n/bs;
1993   rstart = B->rmap->rstart/bs;
1994   cstart = B->cmap->rstart/bs;
1995   cend   = B->cmap->rend/bs;
1996 
1997   if (ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"ii[0] must be 0 but it is %D",ii[0]);
1998   ierr = PetscMalloc2(m,&d_nnz,m,&o_nnz);CHKERRQ(ierr);
1999   for (i=0; i<m; i++) {
2000     nz = ii[i+1] - ii[i];
2001     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Local row %D has a negative number of columns %D",i,nz);
2002     nz_max = PetscMax(nz_max,nz);
2003     JJ     = jj + ii[i];
2004     for (j=0; j<nz; j++) {
2005       if (*JJ >= cstart) break;
2006       JJ++;
2007     }
2008     d = 0;
2009     for (; j<nz; j++) {
2010       if (*JJ++ >= cend) break;
2011       d++;
2012     }
2013     d_nnz[i] = d;
2014     o_nnz[i] = nz - d;
2015   }
2016   ierr = MatMPISBAIJSetPreallocation(B,bs,0,d_nnz,0,o_nnz);CHKERRQ(ierr);
2017   ierr = PetscFree2(d_nnz,o_nnz);CHKERRQ(ierr);
2018 
2019   values = (PetscScalar*)V;
2020   if (!values) {
2021     ierr = PetscMalloc1(bs*bs*nz_max,&values);CHKERRQ(ierr);
2022     ierr = PetscMemzero(values,bs*bs*nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
2023   }
2024   for (i=0; i<m; i++) {
2025     PetscInt          row    = i + rstart;
2026     PetscInt          ncols  = ii[i+1] - ii[i];
2027     const PetscInt    *icols = jj + ii[i];
2028     const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
2029     ierr = MatSetValuesBlocked_MPISBAIJ(B,1,&row,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
2030   }
2031 
2032   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
2033   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2034   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2035   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
2036   PetscFunctionReturn(0);
2037 }
2038 
2039 /*MC
2040    MATMPISBAIJ - MATMPISBAIJ = "mpisbaij" - A matrix type to be used for distributed symmetric sparse block matrices,
2041    based on block compressed sparse row format.  Only the upper triangular portion of the "diagonal" portion of
2042    the matrix is stored.
2043 
2044   For complex numbers by default this matrix is symmetric, NOT Hermitian symmetric. To make it Hermitian symmetric you
2045   can call MatSetOption(Mat, MAT_HERMITIAN);
2046 
2047    Options Database Keys:
2048 . -mat_type mpisbaij - sets the matrix type to "mpisbaij" during a call to MatSetFromOptions()
2049 
2050   Level: beginner
2051 
2052 .seealso: MatCreateMPISBAIJ
2053 M*/
2054 
2055 PETSC_EXTERN PetscErrorCode MatConvert_MPISBAIJ_MPISBSTRM(Mat,MatType,MatReuse,Mat*);
2056 
2057 #undef __FUNCT__
2058 #define __FUNCT__ "MatCreate_MPISBAIJ"
2059 PETSC_EXTERN PetscErrorCode MatCreate_MPISBAIJ(Mat B)
2060 {
2061   Mat_MPISBAIJ   *b;
2062   PetscErrorCode ierr;
2063   PetscBool      flg = PETSC_FALSE;
2064 
2065   PetscFunctionBegin;
2066   ierr    = PetscNewLog(B,&b);CHKERRQ(ierr);
2067   B->data = (void*)b;
2068   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
2069 
2070   B->ops->destroy = MatDestroy_MPISBAIJ;
2071   B->ops->view    = MatView_MPISBAIJ;
2072   B->assembled    = PETSC_FALSE;
2073   B->insertmode   = NOT_SET_VALUES;
2074 
2075   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)B),&b->rank);CHKERRQ(ierr);
2076   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&b->size);CHKERRQ(ierr);
2077 
2078   /* build local table of row and column ownerships */
2079   ierr = PetscMalloc1(b->size+2,&b->rangebs);CHKERRQ(ierr);
2080 
2081   /* build cache for off array entries formed */
2082   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),1,&B->stash);CHKERRQ(ierr);
2083 
2084   b->donotstash  = PETSC_FALSE;
2085   b->colmap      = NULL;
2086   b->garray      = NULL;
2087   b->roworiented = PETSC_TRUE;
2088 
2089   /* stuff used in block assembly */
2090   b->barray = 0;
2091 
2092   /* stuff used for matrix vector multiply */
2093   b->lvec    = 0;
2094   b->Mvctx   = 0;
2095   b->slvec0  = 0;
2096   b->slvec0b = 0;
2097   b->slvec1  = 0;
2098   b->slvec1a = 0;
2099   b->slvec1b = 0;
2100   b->sMvctx  = 0;
2101 
2102   /* stuff for MatGetRow() */
2103   b->rowindices   = 0;
2104   b->rowvalues    = 0;
2105   b->getrowactive = PETSC_FALSE;
2106 
2107   /* hash table stuff */
2108   b->ht           = 0;
2109   b->hd           = 0;
2110   b->ht_size      = 0;
2111   b->ht_flag      = PETSC_FALSE;
2112   b->ht_fact      = 0;
2113   b->ht_total_ct  = 0;
2114   b->ht_insert_ct = 0;
2115 
2116   /* stuff for MatGetSubMatrices_MPIBAIJ_local() */
2117   b->ijonly = PETSC_FALSE;
2118 
2119   b->in_loc = 0;
2120   b->v_loc  = 0;
2121   b->n_loc  = 0;
2122 
2123   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_MPISBAIJ);CHKERRQ(ierr);
2124   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_MPISBAIJ);CHKERRQ(ierr);
2125   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetDiagonalBlock_C",MatGetDiagonalBlock_MPISBAIJ);CHKERRQ(ierr);
2126   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPISBAIJSetPreallocation_C",MatMPISBAIJSetPreallocation_MPISBAIJ);CHKERRQ(ierr);
2127   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPISBAIJSetPreallocationCSR_C",MatMPISBAIJSetPreallocationCSR_MPISBAIJ);CHKERRQ(ierr);
2128   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpisbaij_mpisbstrm_C",MatConvert_MPISBAIJ_MPISBSTRM);CHKERRQ(ierr);
2129 #if defined(PETSC_HAVE_ELEMENTAL)
2130   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpisbaij_elemental_C",MatConvert_MPISBAIJ_Elemental);CHKERRQ(ierr);
2131 #endif
2132 
2133   B->symmetric                  = PETSC_TRUE;
2134   B->structurally_symmetric     = PETSC_TRUE;
2135   B->symmetric_set              = PETSC_TRUE;
2136   B->structurally_symmetric_set = PETSC_TRUE;
2137 
2138   ierr = PetscObjectChangeTypeName((PetscObject)B,MATMPISBAIJ);CHKERRQ(ierr);
2139   ierr      = PetscOptionsBegin(PetscObjectComm((PetscObject)B),NULL,"Options for loading MPISBAIJ matrix 1","Mat");CHKERRQ(ierr);
2140   ierr      = PetscOptionsBool("-mat_use_hash_table","Use hash table to save memory in constructing matrix","MatSetOption",flg,&flg,NULL);CHKERRQ(ierr);
2141   if (flg) {
2142     PetscReal fact = 1.39;
2143     ierr = MatSetOption(B,MAT_USE_HASH_TABLE,PETSC_TRUE);CHKERRQ(ierr);
2144     ierr = PetscOptionsReal("-mat_use_hash_table","Use hash table factor","MatMPIBAIJSetHashTableFactor",fact,&fact,NULL);CHKERRQ(ierr);
2145     if (fact <= 1.0) fact = 1.39;
2146     ierr = MatMPIBAIJSetHashTableFactor(B,fact);CHKERRQ(ierr);
2147     ierr = PetscInfo1(B,"Hash table Factor used %5.2f\n",fact);CHKERRQ(ierr);
2148   }
2149   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2150   PetscFunctionReturn(0);
2151 }
2152 
2153 /*MC
2154    MATSBAIJ - MATSBAIJ = "sbaij" - A matrix type to be used for symmetric block sparse matrices.
2155 
2156    This matrix type is identical to MATSEQSBAIJ when constructed with a single process communicator,
2157    and MATMPISBAIJ otherwise.
2158 
2159    Options Database Keys:
2160 . -mat_type sbaij - sets the matrix type to "sbaij" during a call to MatSetFromOptions()
2161 
2162   Level: beginner
2163 
2164 .seealso: MatCreateMPISBAIJ,MATSEQSBAIJ,MATMPISBAIJ
2165 M*/
2166 
2167 #undef __FUNCT__
2168 #define __FUNCT__ "MatMPISBAIJSetPreallocation"
2169 /*@C
2170    MatMPISBAIJSetPreallocation - For good matrix assembly performance
2171    the user should preallocate the matrix storage by setting the parameters
2172    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
2173    performance can be increased by more than a factor of 50.
2174 
2175    Collective on Mat
2176 
2177    Input Parameters:
2178 +  B - the matrix
2179 .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
2180           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
2181 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
2182            submatrix  (same for all local rows)
2183 .  d_nnz - array containing the number of block nonzeros in the various block rows
2184            in the upper triangular and diagonal part of the in diagonal portion of the local
2185            (possibly different for each block row) or NULL.  If you plan to factor the matrix you must leave room
2186            for the diagonal entry and set a value even if it is zero.
2187 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
2188            submatrix (same for all local rows).
2189 -  o_nnz - array containing the number of nonzeros in the various block rows of the
2190            off-diagonal portion of the local submatrix that is right of the diagonal
2191            (possibly different for each block row) or NULL.
2192 
2193 
2194    Options Database Keys:
2195 .   -mat_no_unroll - uses code that does not unroll the loops in the
2196                      block calculations (much slower)
2197 .   -mat_block_size - size of the blocks to use
2198 
2199    Notes:
2200 
2201    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
2202    than it must be used on all processors that share the object for that argument.
2203 
2204    If the *_nnz parameter is given then the *_nz parameter is ignored
2205 
2206    Storage Information:
2207    For a square global matrix we define each processor's diagonal portion
2208    to be its local rows and the corresponding columns (a square submatrix);
2209    each processor's off-diagonal portion encompasses the remainder of the
2210    local matrix (a rectangular submatrix).
2211 
2212    The user can specify preallocated storage for the diagonal part of
2213    the local submatrix with either d_nz or d_nnz (not both).  Set
2214    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
2215    memory allocation.  Likewise, specify preallocated storage for the
2216    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
2217 
2218    You can call MatGetInfo() to get information on how effective the preallocation was;
2219    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
2220    You can also run with the option -info and look for messages with the string
2221    malloc in them to see if additional memory allocation was needed.
2222 
2223    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
2224    the figure below we depict these three local rows and all columns (0-11).
2225 
2226 .vb
2227            0 1 2 3 4 5 6 7 8 9 10 11
2228           --------------------------
2229    row 3  |. . . d d d o o o o  o  o
2230    row 4  |. . . d d d o o o o  o  o
2231    row 5  |. . . d d d o o o o  o  o
2232           --------------------------
2233 .ve
2234 
2235    Thus, any entries in the d locations are stored in the d (diagonal)
2236    submatrix, and any entries in the o locations are stored in the
2237    o (off-diagonal) submatrix.  Note that the d matrix is stored in
2238    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
2239 
2240    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
2241    plus the diagonal part of the d matrix,
2242    and o_nz should indicate the number of block nonzeros per row in the o matrix
2243 
2244    In general, for PDE problems in which most nonzeros are near the diagonal,
2245    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
2246    or you will get TERRIBLE performance; see the users' manual chapter on
2247    matrices.
2248 
2249    Level: intermediate
2250 
2251 .keywords: matrix, block, aij, compressed row, sparse, parallel
2252 
2253 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateBAIJ(), PetscSplitOwnership()
2254 @*/
2255 PetscErrorCode  MatMPISBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
2256 {
2257   PetscErrorCode ierr;
2258 
2259   PetscFunctionBegin;
2260   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
2261   PetscValidType(B,1);
2262   PetscValidLogicalCollectiveInt(B,bs,2);
2263   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);
2264   PetscFunctionReturn(0);
2265 }
2266 
2267 #undef __FUNCT__
2268 #define __FUNCT__ "MatCreateSBAIJ"
2269 /*@C
2270    MatCreateSBAIJ - Creates a sparse parallel matrix in symmetric block AIJ format
2271    (block compressed row).  For good matrix assembly performance
2272    the user should preallocate the matrix storage by setting the parameters
2273    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
2274    performance can be increased by more than a factor of 50.
2275 
2276    Collective on MPI_Comm
2277 
2278    Input Parameters:
2279 +  comm - MPI communicator
2280 .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
2281           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
2282 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
2283            This value should be the same as the local size used in creating the
2284            y vector for the matrix-vector product y = Ax.
2285 .  n - number of local columns (or PETSC_DECIDE to have calculated if N is given)
2286            This value should be the same as the local size used in creating the
2287            x vector for the matrix-vector product y = Ax.
2288 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
2289 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
2290 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
2291            submatrix  (same for all local rows)
2292 .  d_nnz - array containing the number of block nonzeros in the various block rows
2293            in the upper triangular portion of the in diagonal portion of the local
2294            (possibly different for each block block row) or NULL.
2295            If you plan to factor the matrix you must leave room for the diagonal entry and
2296            set its value even if it is zero.
2297 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
2298            submatrix (same for all local rows).
2299 -  o_nnz - array containing the number of nonzeros in the various block rows of the
2300            off-diagonal portion of the local submatrix (possibly different for
2301            each block row) or NULL.
2302 
2303    Output Parameter:
2304 .  A - the matrix
2305 
2306    Options Database Keys:
2307 .   -mat_no_unroll - uses code that does not unroll the loops in the
2308                      block calculations (much slower)
2309 .   -mat_block_size - size of the blocks to use
2310 .   -mat_mpi - use the parallel matrix data structures even on one processor
2311                (defaults to using SeqBAIJ format on one processor)
2312 
2313    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
2314    MatXXXXSetPreallocation() paradgm instead of this routine directly.
2315    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
2316 
2317    Notes:
2318    The number of rows and columns must be divisible by blocksize.
2319    This matrix type does not support complex Hermitian operation.
2320 
2321    The user MUST specify either the local or global matrix dimensions
2322    (possibly both).
2323 
2324    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
2325    than it must be used on all processors that share the object for that argument.
2326 
2327    If the *_nnz parameter is given then the *_nz parameter is ignored
2328 
2329    Storage Information:
2330    For a square global matrix we define each processor's diagonal portion
2331    to be its local rows and the corresponding columns (a square submatrix);
2332    each processor's off-diagonal portion encompasses the remainder of the
2333    local matrix (a rectangular submatrix).
2334 
2335    The user can specify preallocated storage for the diagonal part of
2336    the local submatrix with either d_nz or d_nnz (not both).  Set
2337    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
2338    memory allocation.  Likewise, specify preallocated storage for the
2339    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
2340 
2341    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
2342    the figure below we depict these three local rows and all columns (0-11).
2343 
2344 .vb
2345            0 1 2 3 4 5 6 7 8 9 10 11
2346           --------------------------
2347    row 3  |. . . d d d o o o o  o  o
2348    row 4  |. . . d d d o o o o  o  o
2349    row 5  |. . . d d d o o o o  o  o
2350           --------------------------
2351 .ve
2352 
2353    Thus, any entries in the d locations are stored in the d (diagonal)
2354    submatrix, and any entries in the o locations are stored in the
2355    o (off-diagonal) submatrix.  Note that the d matrix is stored in
2356    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
2357 
2358    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
2359    plus the diagonal part of the d matrix,
2360    and o_nz should indicate the number of block nonzeros per row in the o matrix.
2361    In general, for PDE problems in which most nonzeros are near the diagonal,
2362    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
2363    or you will get TERRIBLE performance; see the users' manual chapter on
2364    matrices.
2365 
2366    Level: intermediate
2367 
2368 .keywords: matrix, block, aij, compressed row, sparse, parallel
2369 
2370 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateBAIJ()
2371 @*/
2372 
2373 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)
2374 {
2375   PetscErrorCode ierr;
2376   PetscMPIInt    size;
2377 
2378   PetscFunctionBegin;
2379   ierr = MatCreate(comm,A);CHKERRQ(ierr);
2380   ierr = MatSetSizes(*A,m,n,M,N);CHKERRQ(ierr);
2381   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2382   if (size > 1) {
2383     ierr = MatSetType(*A,MATMPISBAIJ);CHKERRQ(ierr);
2384     ierr = MatMPISBAIJSetPreallocation(*A,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
2385   } else {
2386     ierr = MatSetType(*A,MATSEQSBAIJ);CHKERRQ(ierr);
2387     ierr = MatSeqSBAIJSetPreallocation(*A,bs,d_nz,d_nnz);CHKERRQ(ierr);
2388   }
2389   PetscFunctionReturn(0);
2390 }
2391 
2392 
2393 #undef __FUNCT__
2394 #define __FUNCT__ "MatDuplicate_MPISBAIJ"
2395 static PetscErrorCode MatDuplicate_MPISBAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
2396 {
2397   Mat            mat;
2398   Mat_MPISBAIJ   *a,*oldmat = (Mat_MPISBAIJ*)matin->data;
2399   PetscErrorCode ierr;
2400   PetscInt       len=0,nt,bs=matin->rmap->bs,mbs=oldmat->mbs;
2401   PetscScalar    *array;
2402 
2403   PetscFunctionBegin;
2404   *newmat = 0;
2405 
2406   ierr = MatCreate(PetscObjectComm((PetscObject)matin),&mat);CHKERRQ(ierr);
2407   ierr = MatSetSizes(mat,matin->rmap->n,matin->cmap->n,matin->rmap->N,matin->cmap->N);CHKERRQ(ierr);
2408   ierr = MatSetType(mat,((PetscObject)matin)->type_name);CHKERRQ(ierr);
2409   ierr = PetscMemcpy(mat->ops,matin->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
2410   ierr = PetscLayoutReference(matin->rmap,&mat->rmap);CHKERRQ(ierr);
2411   ierr = PetscLayoutReference(matin->cmap,&mat->cmap);CHKERRQ(ierr);
2412 
2413   mat->factortype   = matin->factortype;
2414   mat->preallocated = PETSC_TRUE;
2415   mat->assembled    = PETSC_TRUE;
2416   mat->insertmode   = NOT_SET_VALUES;
2417 
2418   a      = (Mat_MPISBAIJ*)mat->data;
2419   a->bs2 = oldmat->bs2;
2420   a->mbs = oldmat->mbs;
2421   a->nbs = oldmat->nbs;
2422   a->Mbs = oldmat->Mbs;
2423   a->Nbs = oldmat->Nbs;
2424 
2425 
2426   a->size         = oldmat->size;
2427   a->rank         = oldmat->rank;
2428   a->donotstash   = oldmat->donotstash;
2429   a->roworiented  = oldmat->roworiented;
2430   a->rowindices   = 0;
2431   a->rowvalues    = 0;
2432   a->getrowactive = PETSC_FALSE;
2433   a->barray       = 0;
2434   a->rstartbs     = oldmat->rstartbs;
2435   a->rendbs       = oldmat->rendbs;
2436   a->cstartbs     = oldmat->cstartbs;
2437   a->cendbs       = oldmat->cendbs;
2438 
2439   /* hash table stuff */
2440   a->ht           = 0;
2441   a->hd           = 0;
2442   a->ht_size      = 0;
2443   a->ht_flag      = oldmat->ht_flag;
2444   a->ht_fact      = oldmat->ht_fact;
2445   a->ht_total_ct  = 0;
2446   a->ht_insert_ct = 0;
2447 
2448   ierr = PetscMemcpy(a->rangebs,oldmat->rangebs,(a->size+2)*sizeof(PetscInt));CHKERRQ(ierr);
2449   if (oldmat->colmap) {
2450 #if defined(PETSC_USE_CTABLE)
2451     ierr = PetscTableCreateCopy(oldmat->colmap,&a->colmap);CHKERRQ(ierr);
2452 #else
2453     ierr = PetscMalloc1(a->Nbs,&a->colmap);CHKERRQ(ierr);
2454     ierr = PetscLogObjectMemory((PetscObject)mat,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2455     ierr = PetscMemcpy(a->colmap,oldmat->colmap,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2456 #endif
2457   } else a->colmap = 0;
2458 
2459   if (oldmat->garray && (len = ((Mat_SeqBAIJ*)(oldmat->B->data))->nbs)) {
2460     ierr = PetscMalloc1(len,&a->garray);CHKERRQ(ierr);
2461     ierr = PetscLogObjectMemory((PetscObject)mat,len*sizeof(PetscInt));CHKERRQ(ierr);
2462     ierr = PetscMemcpy(a->garray,oldmat->garray,len*sizeof(PetscInt));CHKERRQ(ierr);
2463   } else a->garray = 0;
2464 
2465   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)matin),matin->rmap->bs,&mat->bstash);CHKERRQ(ierr);
2466   ierr = VecDuplicate(oldmat->lvec,&a->lvec);CHKERRQ(ierr);
2467   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->lvec);CHKERRQ(ierr);
2468   ierr = VecScatterCopy(oldmat->Mvctx,&a->Mvctx);CHKERRQ(ierr);
2469   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->Mvctx);CHKERRQ(ierr);
2470 
2471   ierr = VecDuplicate(oldmat->slvec0,&a->slvec0);CHKERRQ(ierr);
2472   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0);CHKERRQ(ierr);
2473   ierr = VecDuplicate(oldmat->slvec1,&a->slvec1);CHKERRQ(ierr);
2474   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1);CHKERRQ(ierr);
2475 
2476   ierr = VecGetLocalSize(a->slvec1,&nt);CHKERRQ(ierr);
2477   ierr = VecGetArray(a->slvec1,&array);CHKERRQ(ierr);
2478   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,bs*mbs,array,&a->slvec1a);CHKERRQ(ierr);
2479   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nt-bs*mbs,array+bs*mbs,&a->slvec1b);CHKERRQ(ierr);
2480   ierr = VecRestoreArray(a->slvec1,&array);CHKERRQ(ierr);
2481   ierr = VecGetArray(a->slvec0,&array);CHKERRQ(ierr);
2482   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nt-bs*mbs,array+bs*mbs,&a->slvec0b);CHKERRQ(ierr);
2483   ierr = VecRestoreArray(a->slvec0,&array);CHKERRQ(ierr);
2484   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0);CHKERRQ(ierr);
2485   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1);CHKERRQ(ierr);
2486   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0b);CHKERRQ(ierr);
2487   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1a);CHKERRQ(ierr);
2488   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1b);CHKERRQ(ierr);
2489 
2490   /* ierr =  VecScatterCopy(oldmat->sMvctx,&a->sMvctx); - not written yet, replaced by the lazy trick: */
2491   ierr      = PetscObjectReference((PetscObject)oldmat->sMvctx);CHKERRQ(ierr);
2492   a->sMvctx = oldmat->sMvctx;
2493   ierr      = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->sMvctx);CHKERRQ(ierr);
2494 
2495   ierr    = MatDuplicate(oldmat->A,cpvalues,&a->A);CHKERRQ(ierr);
2496   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->A);CHKERRQ(ierr);
2497   ierr    = MatDuplicate(oldmat->B,cpvalues,&a->B);CHKERRQ(ierr);
2498   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->B);CHKERRQ(ierr);
2499   ierr    = PetscFunctionListDuplicate(((PetscObject)matin)->qlist,&((PetscObject)mat)->qlist);CHKERRQ(ierr);
2500   *newmat = mat;
2501   PetscFunctionReturn(0);
2502 }
2503 
2504 #undef __FUNCT__
2505 #define __FUNCT__ "MatLoad_MPISBAIJ"
2506 PetscErrorCode MatLoad_MPISBAIJ(Mat newmat,PetscViewer viewer)
2507 {
2508   PetscErrorCode ierr;
2509   PetscInt       i,nz,j,rstart,rend;
2510   PetscScalar    *vals,*buf;
2511   MPI_Comm       comm;
2512   MPI_Status     status;
2513   PetscMPIInt    rank,size,tag = ((PetscObject)viewer)->tag,*sndcounts = 0,*browners,maxnz,*rowners,mmbs;
2514   PetscInt       header[4],*rowlengths = 0,M,N,m,*cols,*locrowlens;
2515   PetscInt       *procsnz = 0,jj,*mycols,*ibuf;
2516   PetscInt       bs = newmat->rmap->bs,Mbs,mbs,extra_rows;
2517   PetscInt       *dlens,*odlens,*mask,*masked1,*masked2,rowcount,odcount;
2518   PetscInt       dcount,kmax,k,nzcount,tmp;
2519   int            fd;
2520 
2521   PetscFunctionBegin;
2522   /* force binary viewer to load .info file if it has not yet done so */
2523   ierr = PetscViewerSetUp(viewer);CHKERRQ(ierr);
2524   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
2525   ierr = PetscOptionsBegin(comm,NULL,"Options for loading MPISBAIJ matrix 2","Mat");CHKERRQ(ierr);
2526   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
2527   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2528   if (bs < 0) bs = 1;
2529 
2530   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2531   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
2532   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
2533   if (!rank) {
2534     ierr = PetscBinaryRead(fd,(char*)header,4,PETSC_INT);CHKERRQ(ierr);
2535     if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
2536     if (header[3] < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as MPISBAIJ");
2537   }
2538 
2539   ierr = MPI_Bcast(header+1,3,MPIU_INT,0,comm);CHKERRQ(ierr);
2540   M    = header[1];
2541   N    = header[2];
2542 
2543   /* If global sizes are set, check if they are consistent with that given in the file */
2544   if (newmat->rmap->N >= 0 && newmat->rmap->N != M) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED, "Inconsistent # of rows:Matrix in file has (%D) and input matrix has (%D)",newmat->rmap->N,M);
2545   if (newmat->cmap->N >= 0 && newmat->cmap->N != N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED, "Inconsistent # of cols:Matrix in file has (%D) and input matrix has (%D)",newmat->cmap->N,N);
2546 
2547   if (M != N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Can only do square matrices");
2548 
2549   /*
2550      This code adds extra rows to make sure the number of rows is
2551      divisible by the blocksize
2552   */
2553   Mbs        = M/bs;
2554   extra_rows = bs - M + bs*(Mbs);
2555   if (extra_rows == bs) extra_rows = 0;
2556   else                  Mbs++;
2557   if (extra_rows &&!rank) {
2558     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
2559   }
2560 
2561   /* determine ownership of all rows */
2562   if (newmat->rmap->n < 0) { /* PETSC_DECIDE */
2563     mbs = Mbs/size + ((Mbs % size) > rank);
2564     m   = mbs*bs;
2565   } else { /* User Set */
2566     m   = newmat->rmap->n;
2567     mbs = m/bs;
2568   }
2569   ierr       = PetscMalloc2(size+1,&rowners,size+1,&browners);CHKERRQ(ierr);
2570   ierr       = PetscMPIIntCast(mbs,&mmbs);CHKERRQ(ierr);
2571   ierr       = MPI_Allgather(&mmbs,1,MPI_INT,rowners+1,1,MPI_INT,comm);CHKERRQ(ierr);
2572   rowners[0] = 0;
2573   for (i=2; i<=size; i++) rowners[i] += rowners[i-1];
2574   for (i=0; i<=size; i++) browners[i] = rowners[i]*bs;
2575   rstart = rowners[rank];
2576   rend   = rowners[rank+1];
2577 
2578   /* distribute row lengths to all processors */
2579   ierr = PetscMalloc1((rend-rstart)*bs,&locrowlens);CHKERRQ(ierr);
2580   if (!rank) {
2581     ierr = PetscMalloc1(M+extra_rows,&rowlengths);CHKERRQ(ierr);
2582     ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
2583     for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
2584     ierr = PetscMalloc1(size,&sndcounts);CHKERRQ(ierr);
2585     for (i=0; i<size; i++) sndcounts[i] = browners[i+1] - browners[i];
2586     ierr = MPI_Scatterv(rowlengths,sndcounts,browners,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2587     ierr = PetscFree(sndcounts);CHKERRQ(ierr);
2588   } else {
2589     ierr = MPI_Scatterv(0,0,0,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2590   }
2591 
2592   if (!rank) {   /* procs[0] */
2593     /* calculate the number of nonzeros on each processor */
2594     ierr = PetscMalloc1(size,&procsnz);CHKERRQ(ierr);
2595     ierr = PetscMemzero(procsnz,size*sizeof(PetscInt));CHKERRQ(ierr);
2596     for (i=0; i<size; i++) {
2597       for (j=rowners[i]*bs; j< rowners[i+1]*bs; j++) {
2598         procsnz[i] += rowlengths[j];
2599       }
2600     }
2601     ierr = PetscFree(rowlengths);CHKERRQ(ierr);
2602 
2603     /* determine max buffer needed and allocate it */
2604     maxnz = 0;
2605     for (i=0; i<size; i++) {
2606       maxnz = PetscMax(maxnz,procsnz[i]);
2607     }
2608     ierr = PetscMalloc1(maxnz,&cols);CHKERRQ(ierr);
2609 
2610     /* read in my part of the matrix column indices  */
2611     nz     = procsnz[0];
2612     ierr   = PetscMalloc1(nz,&ibuf);CHKERRQ(ierr);
2613     mycols = ibuf;
2614     if (size == 1) nz -= extra_rows;
2615     ierr = PetscBinaryRead(fd,mycols,nz,PETSC_INT);CHKERRQ(ierr);
2616     if (size == 1) {
2617       for (i=0; i< extra_rows; i++) mycols[nz+i] = M+i;
2618     }
2619 
2620     /* read in every ones (except the last) and ship off */
2621     for (i=1; i<size-1; i++) {
2622       nz   = procsnz[i];
2623       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2624       ierr = MPI_Send(cols,nz,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
2625     }
2626     /* read in the stuff for the last proc */
2627     if (size != 1) {
2628       nz   = procsnz[size-1] - extra_rows;  /* the extra rows are not on the disk */
2629       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2630       for (i=0; i<extra_rows; i++) cols[nz+i] = M+i;
2631       ierr = MPI_Send(cols,nz+extra_rows,MPIU_INT,size-1,tag,comm);CHKERRQ(ierr);
2632     }
2633     ierr = PetscFree(cols);CHKERRQ(ierr);
2634   } else {  /* procs[i], i>0 */
2635     /* determine buffer space needed for message */
2636     nz = 0;
2637     for (i=0; i<m; i++) nz += locrowlens[i];
2638     ierr   = PetscMalloc1(nz,&ibuf);CHKERRQ(ierr);
2639     mycols = ibuf;
2640     /* receive message of column indices*/
2641     ierr = MPI_Recv(mycols,nz,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
2642     ierr = MPI_Get_count(&status,MPIU_INT,&maxnz);CHKERRQ(ierr);
2643     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2644   }
2645 
2646   /* loop over local rows, determining number of off diagonal entries */
2647   ierr     = PetscMalloc2(rend-rstart,&dlens,rend-rstart,&odlens);CHKERRQ(ierr);
2648   ierr     = PetscMalloc3(Mbs,&mask,Mbs,&masked1,Mbs,&masked2);CHKERRQ(ierr);
2649   ierr     = PetscMemzero(mask,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2650   ierr     = PetscMemzero(masked1,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2651   ierr     = PetscMemzero(masked2,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2652   rowcount = 0;
2653   nzcount  = 0;
2654   for (i=0; i<mbs; i++) {
2655     dcount  = 0;
2656     odcount = 0;
2657     for (j=0; j<bs; j++) {
2658       kmax = locrowlens[rowcount];
2659       for (k=0; k<kmax; k++) {
2660         tmp = mycols[nzcount++]/bs; /* block col. index */
2661         if (!mask[tmp]) {
2662           mask[tmp] = 1;
2663           if (tmp < rstart || tmp >= rend) masked2[odcount++] = tmp; /* entry in off-diag portion */
2664           else masked1[dcount++] = tmp; /* entry in diag portion */
2665         }
2666       }
2667       rowcount++;
2668     }
2669 
2670     dlens[i]  = dcount;  /* d_nzz[i] */
2671     odlens[i] = odcount; /* o_nzz[i] */
2672 
2673     /* zero out the mask elements we set */
2674     for (j=0; j<dcount; j++) mask[masked1[j]] = 0;
2675     for (j=0; j<odcount; j++) mask[masked2[j]] = 0;
2676   }
2677   ierr = MatSetSizes(newmat,m,m,M+extra_rows,N+extra_rows);CHKERRQ(ierr);
2678   ierr = MatMPISBAIJSetPreallocation(newmat,bs,0,dlens,0,odlens);CHKERRQ(ierr);
2679   ierr = MatSetOption(newmat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
2680 
2681   if (!rank) {
2682     ierr = PetscMalloc1(maxnz,&buf);CHKERRQ(ierr);
2683     /* read in my part of the matrix numerical values  */
2684     nz     = procsnz[0];
2685     vals   = buf;
2686     mycols = ibuf;
2687     if (size == 1) nz -= extra_rows;
2688     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2689     if (size == 1) {
2690       for (i=0; i< extra_rows; i++) vals[nz+i] = 1.0;
2691     }
2692 
2693     /* insert into matrix */
2694     jj = rstart*bs;
2695     for (i=0; i<m; i++) {
2696       ierr    = MatSetValues(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2697       mycols += locrowlens[i];
2698       vals   += locrowlens[i];
2699       jj++;
2700     }
2701 
2702     /* read in other processors (except the last one) and ship out */
2703     for (i=1; i<size-1; i++) {
2704       nz   = procsnz[i];
2705       vals = buf;
2706       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2707       ierr = MPI_Send(vals,nz,MPIU_SCALAR,i,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
2708     }
2709     /* the last proc */
2710     if (size != 1) {
2711       nz   = procsnz[i] - extra_rows;
2712       vals = buf;
2713       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2714       for (i=0; i<extra_rows; i++) vals[nz+i] = 1.0;
2715       ierr = MPI_Send(vals,nz+extra_rows,MPIU_SCALAR,size-1,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
2716     }
2717     ierr = PetscFree(procsnz);CHKERRQ(ierr);
2718 
2719   } else {
2720     /* receive numeric values */
2721     ierr = PetscMalloc1(nz,&buf);CHKERRQ(ierr);
2722 
2723     /* receive message of values*/
2724     vals   = buf;
2725     mycols = ibuf;
2726     ierr   = MPI_Recv(vals,nz,MPIU_SCALAR,0,((PetscObject)newmat)->tag,comm,&status);CHKERRQ(ierr);
2727     ierr   = MPI_Get_count(&status,MPIU_SCALAR,&maxnz);CHKERRQ(ierr);
2728     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2729 
2730     /* insert into matrix */
2731     jj = rstart*bs;
2732     for (i=0; i<m; i++) {
2733       ierr    = MatSetValues_MPISBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2734       mycols += locrowlens[i];
2735       vals   += locrowlens[i];
2736       jj++;
2737     }
2738   }
2739 
2740   ierr = PetscFree(locrowlens);CHKERRQ(ierr);
2741   ierr = PetscFree(buf);CHKERRQ(ierr);
2742   ierr = PetscFree(ibuf);CHKERRQ(ierr);
2743   ierr = PetscFree2(rowners,browners);CHKERRQ(ierr);
2744   ierr = PetscFree2(dlens,odlens);CHKERRQ(ierr);
2745   ierr = PetscFree3(mask,masked1,masked2);CHKERRQ(ierr);
2746   ierr = MatAssemblyBegin(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2747   ierr = MatAssemblyEnd(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2748   PetscFunctionReturn(0);
2749 }
2750 
2751 #undef __FUNCT__
2752 #define __FUNCT__ "MatMPISBAIJSetHashTableFactor"
2753 /*XXXXX@
2754    MatMPISBAIJSetHashTableFactor - Sets the factor required to compute the size of the HashTable.
2755 
2756    Input Parameters:
2757 .  mat  - the matrix
2758 .  fact - factor
2759 
2760    Not Collective on Mat, each process can have a different hash factor
2761 
2762    Level: advanced
2763 
2764   Notes:
2765    This can also be set by the command line option: -mat_use_hash_table fact
2766 
2767 .keywords: matrix, hashtable, factor, HT
2768 
2769 .seealso: MatSetOption()
2770 @XXXXX*/
2771 
2772 
2773 #undef __FUNCT__
2774 #define __FUNCT__ "MatGetRowMaxAbs_MPISBAIJ"
2775 PetscErrorCode MatGetRowMaxAbs_MPISBAIJ(Mat A,Vec v,PetscInt idx[])
2776 {
2777   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
2778   Mat_SeqBAIJ    *b = (Mat_SeqBAIJ*)(a->B)->data;
2779   PetscReal      atmp;
2780   PetscReal      *work,*svalues,*rvalues;
2781   PetscErrorCode ierr;
2782   PetscInt       i,bs,mbs,*bi,*bj,brow,j,ncols,krow,kcol,col,row,Mbs,bcol;
2783   PetscMPIInt    rank,size;
2784   PetscInt       *rowners_bs,dest,count,source;
2785   PetscScalar    *va;
2786   MatScalar      *ba;
2787   MPI_Status     stat;
2788 
2789   PetscFunctionBegin;
2790   if (idx) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Send email to petsc-maint@mcs.anl.gov");
2791   ierr = MatGetRowMaxAbs(a->A,v,NULL);CHKERRQ(ierr);
2792   ierr = VecGetArray(v,&va);CHKERRQ(ierr);
2793 
2794   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&size);CHKERRQ(ierr);
2795   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A),&rank);CHKERRQ(ierr);
2796 
2797   bs  = A->rmap->bs;
2798   mbs = a->mbs;
2799   Mbs = a->Mbs;
2800   ba  = b->a;
2801   bi  = b->i;
2802   bj  = b->j;
2803 
2804   /* find ownerships */
2805   rowners_bs = A->rmap->range;
2806 
2807   /* each proc creates an array to be distributed */
2808   ierr = PetscMalloc1(bs*Mbs,&work);CHKERRQ(ierr);
2809   ierr = PetscMemzero(work,bs*Mbs*sizeof(PetscReal));CHKERRQ(ierr);
2810 
2811   /* row_max for B */
2812   if (rank != size-1) {
2813     for (i=0; i<mbs; i++) {
2814       ncols = bi[1] - bi[0]; bi++;
2815       brow  = bs*i;
2816       for (j=0; j<ncols; j++) {
2817         bcol = bs*(*bj);
2818         for (kcol=0; kcol<bs; kcol++) {
2819           col  = bcol + kcol;                /* local col index */
2820           col += rowners_bs[rank+1];      /* global col index */
2821           for (krow=0; krow<bs; krow++) {
2822             atmp = PetscAbsScalar(*ba); ba++;
2823             row  = brow + krow;   /* local row index */
2824             if (PetscRealPart(va[row]) < atmp) va[row] = atmp;
2825             if (work[col] < atmp) work[col] = atmp;
2826           }
2827         }
2828         bj++;
2829       }
2830     }
2831 
2832     /* send values to its owners */
2833     for (dest=rank+1; dest<size; dest++) {
2834       svalues = work + rowners_bs[dest];
2835       count   = rowners_bs[dest+1]-rowners_bs[dest];
2836       ierr    = MPI_Send(svalues,count,MPIU_REAL,dest,rank,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2837     }
2838   }
2839 
2840   /* receive values */
2841   if (rank) {
2842     rvalues = work;
2843     count   = rowners_bs[rank+1]-rowners_bs[rank];
2844     for (source=0; source<rank; source++) {
2845       ierr = MPI_Recv(rvalues,count,MPIU_REAL,MPI_ANY_SOURCE,MPI_ANY_TAG,PetscObjectComm((PetscObject)A),&stat);CHKERRQ(ierr);
2846       /* process values */
2847       for (i=0; i<count; i++) {
2848         if (PetscRealPart(va[i]) < rvalues[i]) va[i] = rvalues[i];
2849       }
2850     }
2851   }
2852 
2853   ierr = VecRestoreArray(v,&va);CHKERRQ(ierr);
2854   ierr = PetscFree(work);CHKERRQ(ierr);
2855   PetscFunctionReturn(0);
2856 }
2857 
2858 #undef __FUNCT__
2859 #define __FUNCT__ "MatSOR_MPISBAIJ"
2860 PetscErrorCode MatSOR_MPISBAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2861 {
2862   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)matin->data;
2863   PetscErrorCode    ierr;
2864   PetscInt          mbs=mat->mbs,bs=matin->rmap->bs;
2865   PetscScalar       *x,*ptr,*from;
2866   Vec               bb1;
2867   const PetscScalar *b;
2868 
2869   PetscFunctionBegin;
2870   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);
2871   if (bs > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2872 
2873   if (flag == SOR_APPLY_UPPER) {
2874     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2875     PetscFunctionReturn(0);
2876   }
2877 
2878   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
2879     if (flag & SOR_ZERO_INITIAL_GUESS) {
2880       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2881       its--;
2882     }
2883 
2884     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2885     while (its--) {
2886 
2887       /* lower triangular part: slvec0b = - B^T*xx */
2888       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2889 
2890       /* copy xx into slvec0a */
2891       ierr = VecGetArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2892       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2893       ierr = PetscMemcpy(ptr,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2894       ierr = VecRestoreArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2895 
2896       ierr = VecScale(mat->slvec0,-1.0);CHKERRQ(ierr);
2897 
2898       /* copy bb into slvec1a */
2899       ierr = VecGetArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2900       ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
2901       ierr = PetscMemcpy(ptr,b,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2902       ierr = VecRestoreArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2903 
2904       /* set slvec1b = 0 */
2905       ierr = VecSet(mat->slvec1b,0.0);CHKERRQ(ierr);
2906 
2907       ierr = VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2908       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2909       ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
2910       ierr = VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2911 
2912       /* upper triangular part: bb1 = bb1 - B*x */
2913       ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,bb1);CHKERRQ(ierr);
2914 
2915       /* local diagonal sweep */
2916       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
2917     }
2918     ierr = VecDestroy(&bb1);CHKERRQ(ierr);
2919   } else if ((flag & SOR_LOCAL_FORWARD_SWEEP) && (its == 1) && (flag & SOR_ZERO_INITIAL_GUESS)) {
2920     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2921   } else if ((flag & SOR_LOCAL_BACKWARD_SWEEP) && (its == 1) && (flag & SOR_ZERO_INITIAL_GUESS)) {
2922     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2923   } else if (flag & SOR_EISENSTAT) {
2924     Vec               xx1;
2925     PetscBool         hasop;
2926     const PetscScalar *diag;
2927     PetscScalar       *sl,scale = (omega - 2.0)/omega;
2928     PetscInt          i,n;
2929 
2930     if (!mat->xx1) {
2931       ierr = VecDuplicate(bb,&mat->xx1);CHKERRQ(ierr);
2932       ierr = VecDuplicate(bb,&mat->bb1);CHKERRQ(ierr);
2933     }
2934     xx1 = mat->xx1;
2935     bb1 = mat->bb1;
2936 
2937     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,(MatSORType)(SOR_ZERO_INITIAL_GUESS | SOR_LOCAL_BACKWARD_SWEEP),fshift,lits,1,xx);CHKERRQ(ierr);
2938 
2939     if (!mat->diag) {
2940       /* this is wrong for same matrix with new nonzero values */
2941       ierr = MatCreateVecs(matin,&mat->diag,NULL);CHKERRQ(ierr);
2942       ierr = MatGetDiagonal(matin,mat->diag);CHKERRQ(ierr);
2943     }
2944     ierr = MatHasOperation(matin,MATOP_MULT_DIAGONAL_BLOCK,&hasop);CHKERRQ(ierr);
2945 
2946     if (hasop) {
2947       ierr = MatMultDiagonalBlock(matin,xx,bb1);CHKERRQ(ierr);
2948       ierr = VecAYPX(mat->slvec1a,scale,bb);CHKERRQ(ierr);
2949     } else {
2950       /*
2951           These two lines are replaced by code that may be a bit faster for a good compiler
2952       ierr = VecPointwiseMult(mat->slvec1a,mat->diag,xx);CHKERRQ(ierr);
2953       ierr = VecAYPX(mat->slvec1a,scale,bb);CHKERRQ(ierr);
2954       */
2955       ierr = VecGetArray(mat->slvec1a,&sl);CHKERRQ(ierr);
2956       ierr = VecGetArrayRead(mat->diag,&diag);CHKERRQ(ierr);
2957       ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
2958       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2959       ierr = VecGetLocalSize(xx,&n);CHKERRQ(ierr);
2960       if (omega == 1.0) {
2961         for (i=0; i<n; i++) sl[i] = b[i] - diag[i]*x[i];
2962         ierr = PetscLogFlops(2.0*n);CHKERRQ(ierr);
2963       } else {
2964         for (i=0; i<n; i++) sl[i] = b[i] + scale*diag[i]*x[i];
2965         ierr = PetscLogFlops(3.0*n);CHKERRQ(ierr);
2966       }
2967       ierr = VecRestoreArray(mat->slvec1a,&sl);CHKERRQ(ierr);
2968       ierr = VecRestoreArrayRead(mat->diag,&diag);CHKERRQ(ierr);
2969       ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
2970       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2971     }
2972 
2973     /* multiply off-diagonal portion of matrix */
2974     ierr = VecSet(mat->slvec1b,0.0);CHKERRQ(ierr);
2975     ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2976     ierr = VecGetArray(mat->slvec0,&from);CHKERRQ(ierr);
2977     ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2978     ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2979     ierr = VecRestoreArray(mat->slvec0,&from);CHKERRQ(ierr);
2980     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2981     ierr = VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2982     ierr = VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2983     ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,mat->slvec1a);CHKERRQ(ierr);
2984 
2985     /* local sweep */
2986     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);
2987     ierr = VecAXPY(xx,1.0,xx1);CHKERRQ(ierr);
2988   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
2989   PetscFunctionReturn(0);
2990 }
2991 
2992 #undef __FUNCT__
2993 #define __FUNCT__ "MatSOR_MPISBAIJ_2comm"
2994 PetscErrorCode MatSOR_MPISBAIJ_2comm(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2995 {
2996   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
2997   PetscErrorCode ierr;
2998   Vec            lvec1,bb1;
2999 
3000   PetscFunctionBegin;
3001   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);
3002   if (matin->rmap->bs > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
3003 
3004   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
3005     if (flag & SOR_ZERO_INITIAL_GUESS) {
3006       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
3007       its--;
3008     }
3009 
3010     ierr = VecDuplicate(mat->lvec,&lvec1);CHKERRQ(ierr);
3011     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
3012     while (its--) {
3013       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
3014 
3015       /* lower diagonal part: bb1 = bb - B^T*xx */
3016       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,lvec1);CHKERRQ(ierr);
3017       ierr = VecScale(lvec1,-1.0);CHKERRQ(ierr);
3018 
3019       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
3020       ierr = VecCopy(bb,bb1);CHKERRQ(ierr);
3021       ierr = VecScatterBegin(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
3022 
3023       /* upper diagonal part: bb1 = bb1 - B*x */
3024       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
3025       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb1,bb1);CHKERRQ(ierr);
3026 
3027       ierr = VecScatterEnd(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
3028 
3029       /* diagonal sweep */
3030       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
3031     }
3032     ierr = VecDestroy(&lvec1);CHKERRQ(ierr);
3033     ierr = VecDestroy(&bb1);CHKERRQ(ierr);
3034   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
3035   PetscFunctionReturn(0);
3036 }
3037 
3038 #undef __FUNCT__
3039 #define __FUNCT__ "MatCreateMPISBAIJWithArrays"
3040 /*@
3041      MatCreateMPISBAIJWithArrays - creates a MPI SBAIJ matrix using arrays that contain in standard
3042          CSR format the local rows.
3043 
3044    Collective on MPI_Comm
3045 
3046    Input Parameters:
3047 +  comm - MPI communicator
3048 .  bs - the block size, only a block size of 1 is supported
3049 .  m - number of local rows (Cannot be PETSC_DECIDE)
3050 .  n - This value should be the same as the local size used in creating the
3051        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
3052        calculated if N is given) For square matrices n is almost always m.
3053 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
3054 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
3055 .   i - row indices
3056 .   j - column indices
3057 -   a - matrix values
3058 
3059    Output Parameter:
3060 .   mat - the matrix
3061 
3062    Level: intermediate
3063 
3064    Notes:
3065        The i, j, and a arrays ARE copied by this routine into the internal format used by PETSc;
3066      thus you CANNOT change the matrix entries by changing the values of a[] after you have
3067      called this routine. Use MatCreateMPIAIJWithSplitArrays() to avoid needing to copy the arrays.
3068 
3069        The i and j indices are 0 based, and i indices are indices corresponding to the local j array.
3070 
3071 .keywords: matrix, aij, compressed row, sparse, parallel
3072 
3073 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
3074           MPIAIJ, MatCreateAIJ(), MatCreateMPIAIJWithSplitArrays()
3075 @*/
3076 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)
3077 {
3078   PetscErrorCode ierr;
3079 
3080 
3081   PetscFunctionBegin;
3082   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
3083   if (m < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"local number of rows (m) cannot be PETSC_DECIDE, or negative");
3084   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
3085   ierr = MatSetSizes(*mat,m,n,M,N);CHKERRQ(ierr);
3086   ierr = MatSetType(*mat,MATMPISBAIJ);CHKERRQ(ierr);
3087   ierr = MatMPISBAIJSetPreallocationCSR(*mat,bs,i,j,a);CHKERRQ(ierr);
3088   PetscFunctionReturn(0);
3089 }
3090 
3091 
3092 #undef __FUNCT__
3093 #define __FUNCT__ "MatMPISBAIJSetPreallocationCSR"
3094 /*@C
3095    MatMPISBAIJSetPreallocationCSR - Allocates memory for a sparse parallel matrix in BAIJ format
3096    (the default parallel PETSc format).
3097 
3098    Collective on MPI_Comm
3099 
3100    Input Parameters:
3101 +  B - the matrix
3102 .  bs - the block size
3103 .  i - the indices into j for the start of each local row (starts with zero)
3104 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
3105 -  v - optional values in the matrix
3106 
3107    Level: developer
3108 
3109 .keywords: matrix, aij, compressed row, sparse, parallel
3110 
3111 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIBAIJSetPreallocation(), MatCreateAIJ(), MPIAIJ
3112 @*/
3113 PetscErrorCode  MatMPISBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
3114 {
3115   PetscErrorCode ierr;
3116 
3117   PetscFunctionBegin;
3118   ierr = PetscTryMethod(B,"MatMPISBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));CHKERRQ(ierr);
3119   PetscFunctionReturn(0);
3120 }
3121 
3122 #undef __FUNCT__
3123 #define __FUNCT__ "MatCreateMPIMatConcatenateSeqMat_MPISBAIJ"
3124 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_MPISBAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
3125 {
3126   PetscErrorCode ierr;
3127   PetscInt       m,N,i,rstart,nnz,Ii,bs,cbs;
3128   PetscInt       *indx;
3129   PetscScalar    *values;
3130 
3131   PetscFunctionBegin;
3132   ierr = MatGetSize(inmat,&m,&N);CHKERRQ(ierr);
3133   if (scall == MAT_INITIAL_MATRIX) { /* symbolic phase */
3134     Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)inmat->data;
3135     PetscInt       *dnz,*onz,sum,bs,cbs,mbs,Nbs;
3136     PetscInt       *bindx,rmax=a->rmax,j;
3137 
3138     ierr = MatGetBlockSizes(inmat,&bs,&cbs);CHKERRQ(ierr);
3139     mbs = m/bs; Nbs = N/cbs;
3140     if (n == PETSC_DECIDE) {
3141       ierr = PetscSplitOwnership(comm,&n,&Nbs);CHKERRQ(ierr);
3142     }
3143     /* Check sum(n) = Nbs */
3144     ierr = MPI_Allreduce(&n,&sum,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
3145     if (sum != Nbs) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Sum of local columns != global columns %d",Nbs);
3146 
3147     ierr    = MPI_Scan(&mbs, &rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
3148     rstart -= mbs;
3149 
3150     ierr = PetscMalloc1(rmax,&bindx);CHKERRQ(ierr);
3151     ierr = MatPreallocateInitialize(comm,mbs,n,dnz,onz);CHKERRQ(ierr);
3152     ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
3153     for (i=0; i<mbs; i++) {
3154       ierr = MatGetRow_SeqSBAIJ(inmat,i*bs,&nnz,&indx,NULL);CHKERRQ(ierr); /* non-blocked nnz and indx */
3155       nnz = nnz/bs;
3156       for (j=0; j<nnz; j++) bindx[j] = indx[j*bs]/bs;
3157       ierr = MatPreallocateSet(i+rstart,nnz,bindx,dnz,onz);CHKERRQ(ierr);
3158       ierr = MatRestoreRow_SeqSBAIJ(inmat,i*bs,&nnz,&indx,NULL);CHKERRQ(ierr);
3159     }
3160     ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_FALSE);CHKERRQ(ierr);
3161     ierr = PetscFree(bindx);CHKERRQ(ierr);
3162 
3163     ierr = MatCreate(comm,outmat);CHKERRQ(ierr);
3164     ierr = MatSetSizes(*outmat,m,n*bs,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
3165     ierr = MatSetBlockSizes(*outmat,bs,cbs);CHKERRQ(ierr);
3166     ierr = MatSetType(*outmat,MATMPISBAIJ);CHKERRQ(ierr);
3167     ierr = MatMPISBAIJSetPreallocation(*outmat,bs,0,dnz,0,onz);CHKERRQ(ierr);
3168     ierr = MatPreallocateFinalize(dnz,onz);CHKERRQ(ierr);
3169   }
3170 
3171   /* numeric phase */
3172   ierr = MatGetBlockSizes(inmat,&bs,&cbs);CHKERRQ(ierr);
3173   ierr = MatGetOwnershipRange(*outmat,&rstart,NULL);CHKERRQ(ierr);
3174 
3175   ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
3176   for (i=0; i<m; i++) {
3177     ierr = MatGetRow_SeqSBAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
3178     Ii   = i + rstart;
3179     ierr = MatSetValues(*outmat,1,&Ii,nnz,indx,values,INSERT_VALUES);CHKERRQ(ierr);
3180     ierr = MatRestoreRow_SeqSBAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
3181   }
3182   ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_FALSE);CHKERRQ(ierr);
3183   ierr = MatAssemblyBegin(*outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3184   ierr = MatAssemblyEnd(*outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3185   PetscFunctionReturn(0);
3186 }
3187