xref: /petsc/src/mat/impls/sbaij/mpi/mpisbaij.c (revision 1ebf93c6b7d760d592de6ebe6cdc0debaa3caf75)
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_INTERN 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    = MPIU_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  = MPIU_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 = MPIU_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 = MPIU_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(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);
834     if (isnull) PetscFunctionReturn(0);
835   }
836 
837   {
838     /* assemble the entire matrix onto first processor. */
839     Mat          A;
840     Mat_SeqSBAIJ *Aloc;
841     Mat_SeqBAIJ  *Bloc;
842     PetscInt     M = mat->rmap->N,N = mat->cmap->N,*ai,*aj,col,i,j,k,*rvals,mbs = baij->mbs;
843     MatScalar    *a;
844     const char   *matname;
845 
846     /* Should this be the same type as mat? */
847     ierr = MatCreate(PetscObjectComm((PetscObject)mat),&A);CHKERRQ(ierr);
848     if (!rank) {
849       ierr = MatSetSizes(A,M,N,M,N);CHKERRQ(ierr);
850     } else {
851       ierr = MatSetSizes(A,0,0,M,N);CHKERRQ(ierr);
852     }
853     ierr = MatSetType(A,MATMPISBAIJ);CHKERRQ(ierr);
854     ierr = MatMPISBAIJSetPreallocation(A,mat->rmap->bs,0,NULL,0,NULL);CHKERRQ(ierr);
855     ierr = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);
856     ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)A);CHKERRQ(ierr);
857 
858     /* copy over the A part */
859     Aloc = (Mat_SeqSBAIJ*)baij->A->data;
860     ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
861     ierr = PetscMalloc1(bs,&rvals);CHKERRQ(ierr);
862 
863     for (i=0; i<mbs; i++) {
864       rvals[0] = bs*(baij->rstartbs + i);
865       for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
866       for (j=ai[i]; j<ai[i+1]; j++) {
867         col = (baij->cstartbs+aj[j])*bs;
868         for (k=0; k<bs; k++) {
869           ierr = MatSetValues_MPISBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
870           col++;
871           a += bs;
872         }
873       }
874     }
875     /* copy over the B part */
876     Bloc = (Mat_SeqBAIJ*)baij->B->data;
877     ai   = Bloc->i; aj = Bloc->j; a = Bloc->a;
878     for (i=0; i<mbs; i++) {
879 
880       rvals[0] = bs*(baij->rstartbs + i);
881       for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
882       for (j=ai[i]; j<ai[i+1]; j++) {
883         col = baij->garray[aj[j]]*bs;
884         for (k=0; k<bs; k++) {
885           ierr = MatSetValues_MPIBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
886           col++;
887           a += bs;
888         }
889       }
890     }
891     ierr = PetscFree(rvals);CHKERRQ(ierr);
892     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
893     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
894     /*
895        Everyone has to call to draw the matrix since the graphics waits are
896        synchronized across all processors that share the PetscDraw object
897     */
898     ierr = PetscViewerGetSubViewer(viewer,PETSC_COMM_SELF,&sviewer);CHKERRQ(ierr);
899     ierr = PetscObjectGetName((PetscObject)mat,&matname);CHKERRQ(ierr);
900     if (!rank) {
901       ierr = PetscObjectSetName((PetscObject)((Mat_MPISBAIJ*)(A->data))->A,matname);CHKERRQ(ierr);
902       ierr = MatView_SeqSBAIJ(((Mat_MPISBAIJ*)(A->data))->A,sviewer);CHKERRQ(ierr);
903     }
904     ierr = PetscViewerRestoreSubViewer(viewer,PETSC_COMM_SELF,&sviewer);CHKERRQ(ierr);
905     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
906     ierr = MatDestroy(&A);CHKERRQ(ierr);
907   }
908   PetscFunctionReturn(0);
909 }
910 
911 #undef __FUNCT__
912 #define __FUNCT__ "MatView_MPISBAIJ"
913 PetscErrorCode MatView_MPISBAIJ(Mat mat,PetscViewer viewer)
914 {
915   PetscErrorCode ierr;
916   PetscBool      iascii,isdraw,issocket,isbinary;
917 
918   PetscFunctionBegin;
919   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
920   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
921   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSOCKET,&issocket);CHKERRQ(ierr);
922   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
923   if (iascii || isdraw || issocket || isbinary) {
924     ierr = MatView_MPISBAIJ_ASCIIorDraworSocket(mat,viewer);CHKERRQ(ierr);
925   }
926   PetscFunctionReturn(0);
927 }
928 
929 #undef __FUNCT__
930 #define __FUNCT__ "MatDestroy_MPISBAIJ"
931 PetscErrorCode MatDestroy_MPISBAIJ(Mat mat)
932 {
933   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
934   PetscErrorCode ierr;
935 
936   PetscFunctionBegin;
937 #if defined(PETSC_USE_LOG)
938   PetscLogObjectState((PetscObject)mat,"Rows=%D,Cols=%D",mat->rmap->N,mat->cmap->N);
939 #endif
940   ierr = MatStashDestroy_Private(&mat->stash);CHKERRQ(ierr);
941   ierr = MatStashDestroy_Private(&mat->bstash);CHKERRQ(ierr);
942   ierr = MatDestroy(&baij->A);CHKERRQ(ierr);
943   ierr = MatDestroy(&baij->B);CHKERRQ(ierr);
944 #if defined(PETSC_USE_CTABLE)
945   ierr = PetscTableDestroy(&baij->colmap);CHKERRQ(ierr);
946 #else
947   ierr = PetscFree(baij->colmap);CHKERRQ(ierr);
948 #endif
949   ierr = PetscFree(baij->garray);CHKERRQ(ierr);
950   ierr = VecDestroy(&baij->lvec);CHKERRQ(ierr);
951   ierr = VecScatterDestroy(&baij->Mvctx);CHKERRQ(ierr);
952   ierr = VecDestroy(&baij->slvec0);CHKERRQ(ierr);
953   ierr = VecDestroy(&baij->slvec0b);CHKERRQ(ierr);
954   ierr = VecDestroy(&baij->slvec1);CHKERRQ(ierr);
955   ierr = VecDestroy(&baij->slvec1a);CHKERRQ(ierr);
956   ierr = VecDestroy(&baij->slvec1b);CHKERRQ(ierr);
957   ierr = VecScatterDestroy(&baij->sMvctx);CHKERRQ(ierr);
958   ierr = PetscFree2(baij->rowvalues,baij->rowindices);CHKERRQ(ierr);
959   ierr = PetscFree(baij->barray);CHKERRQ(ierr);
960   ierr = PetscFree(baij->hd);CHKERRQ(ierr);
961   ierr = VecDestroy(&baij->diag);CHKERRQ(ierr);
962   ierr = VecDestroy(&baij->bb1);CHKERRQ(ierr);
963   ierr = VecDestroy(&baij->xx1);CHKERRQ(ierr);
964 #if defined(PETSC_USE_REAL_MAT_SINGLE)
965   ierr = PetscFree(baij->setvaluescopy);CHKERRQ(ierr);
966 #endif
967   ierr = PetscFree(baij->in_loc);CHKERRQ(ierr);
968   ierr = PetscFree(baij->v_loc);CHKERRQ(ierr);
969   ierr = PetscFree(baij->rangebs);CHKERRQ(ierr);
970   ierr = PetscFree(mat->data);CHKERRQ(ierr);
971 
972   ierr = PetscObjectChangeTypeName((PetscObject)mat,0);CHKERRQ(ierr);
973   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatStoreValues_C",NULL);CHKERRQ(ierr);
974   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatRetrieveValues_C",NULL);CHKERRQ(ierr);
975   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatGetDiagonalBlock_C",NULL);CHKERRQ(ierr);
976   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatMPISBAIJSetPreallocation_C",NULL);CHKERRQ(ierr);
977   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpisbaij_mpisbstrm_C",NULL);CHKERRQ(ierr);
978 #if defined(PETSC_HAVE_ELEMENTAL)
979   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpisbaij_elemental_C",NULL);CHKERRQ(ierr);
980 #endif
981   PetscFunctionReturn(0);
982 }
983 
984 #undef __FUNCT__
985 #define __FUNCT__ "MatMult_MPISBAIJ_Hermitian"
986 PetscErrorCode MatMult_MPISBAIJ_Hermitian(Mat A,Vec xx,Vec yy)
987 {
988   Mat_MPISBAIJ      *a = (Mat_MPISBAIJ*)A->data;
989   PetscErrorCode    ierr;
990   PetscInt          nt,mbs=a->mbs,bs=A->rmap->bs;
991   PetscScalar       *from;
992   const PetscScalar *x;
993 
994   PetscFunctionBegin;
995   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
996   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
997 
998   /* diagonal part */
999   ierr = (*a->A->ops->mult)(a->A,xx,a->slvec1a);CHKERRQ(ierr);
1000   ierr = VecSet(a->slvec1b,0.0);CHKERRQ(ierr);
1001 
1002   /* subdiagonal part */
1003   ierr = (*a->B->ops->multhermitiantranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
1004 
1005   /* copy x into the vec slvec0 */
1006   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
1007   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1008 
1009   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
1010   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
1011   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1012 
1013   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1014   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1015   /* supperdiagonal part */
1016   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,yy);CHKERRQ(ierr);
1017   PetscFunctionReturn(0);
1018 }
1019 
1020 #undef __FUNCT__
1021 #define __FUNCT__ "MatMult_MPISBAIJ"
1022 PetscErrorCode MatMult_MPISBAIJ(Mat A,Vec xx,Vec yy)
1023 {
1024   Mat_MPISBAIJ      *a = (Mat_MPISBAIJ*)A->data;
1025   PetscErrorCode    ierr;
1026   PetscInt          nt,mbs=a->mbs,bs=A->rmap->bs;
1027   PetscScalar       *from;
1028   const PetscScalar *x;
1029 
1030   PetscFunctionBegin;
1031   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
1032   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
1033 
1034   /* diagonal part */
1035   ierr = (*a->A->ops->mult)(a->A,xx,a->slvec1a);CHKERRQ(ierr);
1036   ierr = VecSet(a->slvec1b,0.0);CHKERRQ(ierr);
1037 
1038   /* subdiagonal part */
1039   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
1040 
1041   /* copy x into the vec slvec0 */
1042   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
1043   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1044 
1045   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
1046   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
1047   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1048 
1049   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1050   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1051   /* supperdiagonal part */
1052   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,yy);CHKERRQ(ierr);
1053   PetscFunctionReturn(0);
1054 }
1055 
1056 #undef __FUNCT__
1057 #define __FUNCT__ "MatMult_MPISBAIJ_2comm"
1058 PetscErrorCode MatMult_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy)
1059 {
1060   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1061   PetscErrorCode ierr;
1062   PetscInt       nt;
1063 
1064   PetscFunctionBegin;
1065   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
1066   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
1067 
1068   ierr = VecGetLocalSize(yy,&nt);CHKERRQ(ierr);
1069   if (nt != A->rmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible parition of A and yy");
1070 
1071   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1072   /* do diagonal part */
1073   ierr = (*a->A->ops->mult)(a->A,xx,yy);CHKERRQ(ierr);
1074   /* do supperdiagonal part */
1075   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1076   ierr = (*a->B->ops->multadd)(a->B,a->lvec,yy,yy);CHKERRQ(ierr);
1077   /* do subdiagonal part */
1078   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1079   ierr = VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1080   ierr = VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1081   PetscFunctionReturn(0);
1082 }
1083 
1084 #undef __FUNCT__
1085 #define __FUNCT__ "MatMultAdd_MPISBAIJ"
1086 PetscErrorCode MatMultAdd_MPISBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1087 {
1088   Mat_MPISBAIJ      *a = (Mat_MPISBAIJ*)A->data;
1089   PetscErrorCode    ierr;
1090   PetscInt          mbs=a->mbs,bs=A->rmap->bs;
1091   PetscScalar       *from,zero=0.0;
1092   const PetscScalar *x;
1093 
1094   PetscFunctionBegin;
1095   /*
1096   PetscSynchronizedPrintf(PetscObjectComm((PetscObject)A)," MatMultAdd is called ...\n");
1097   PetscSynchronizedFlush(PetscObjectComm((PetscObject)A),PETSC_STDOUT);
1098   */
1099   /* diagonal part */
1100   ierr = (*a->A->ops->multadd)(a->A,xx,yy,a->slvec1a);CHKERRQ(ierr);
1101   ierr = VecSet(a->slvec1b,zero);CHKERRQ(ierr);
1102 
1103   /* subdiagonal part */
1104   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
1105 
1106   /* copy x into the vec slvec0 */
1107   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
1108   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1109   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
1110   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
1111 
1112   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1113   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1114   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1115 
1116   /* supperdiagonal part */
1117   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,zz);CHKERRQ(ierr);
1118   PetscFunctionReturn(0);
1119 }
1120 
1121 #undef __FUNCT__
1122 #define __FUNCT__ "MatMultAdd_MPISBAIJ_2comm"
1123 PetscErrorCode MatMultAdd_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy,Vec zz)
1124 {
1125   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1126   PetscErrorCode ierr;
1127 
1128   PetscFunctionBegin;
1129   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1130   /* do diagonal part */
1131   ierr = (*a->A->ops->multadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
1132   /* do supperdiagonal part */
1133   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1134   ierr = (*a->B->ops->multadd)(a->B,a->lvec,zz,zz);CHKERRQ(ierr);
1135 
1136   /* do subdiagonal part */
1137   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1138   ierr = VecScatterBegin(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1139   ierr = VecScatterEnd(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1140   PetscFunctionReturn(0);
1141 }
1142 
1143 /*
1144   This only works correctly for square matrices where the subblock A->A is the
1145    diagonal block
1146 */
1147 #undef __FUNCT__
1148 #define __FUNCT__ "MatGetDiagonal_MPISBAIJ"
1149 PetscErrorCode MatGetDiagonal_MPISBAIJ(Mat A,Vec v)
1150 {
1151   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1152   PetscErrorCode ierr;
1153 
1154   PetscFunctionBegin;
1155   /* if (a->rmap->N != a->cmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Supports only square matrix where A->A is diag block"); */
1156   ierr = MatGetDiagonal(a->A,v);CHKERRQ(ierr);
1157   PetscFunctionReturn(0);
1158 }
1159 
1160 #undef __FUNCT__
1161 #define __FUNCT__ "MatScale_MPISBAIJ"
1162 PetscErrorCode MatScale_MPISBAIJ(Mat A,PetscScalar aa)
1163 {
1164   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1165   PetscErrorCode ierr;
1166 
1167   PetscFunctionBegin;
1168   ierr = MatScale(a->A,aa);CHKERRQ(ierr);
1169   ierr = MatScale(a->B,aa);CHKERRQ(ierr);
1170   PetscFunctionReturn(0);
1171 }
1172 
1173 #undef __FUNCT__
1174 #define __FUNCT__ "MatGetRow_MPISBAIJ"
1175 PetscErrorCode MatGetRow_MPISBAIJ(Mat matin,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1176 {
1177   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
1178   PetscScalar    *vworkA,*vworkB,**pvA,**pvB,*v_p;
1179   PetscErrorCode ierr;
1180   PetscInt       bs = matin->rmap->bs,bs2 = mat->bs2,i,*cworkA,*cworkB,**pcA,**pcB;
1181   PetscInt       nztot,nzA,nzB,lrow,brstart = matin->rmap->rstart,brend = matin->rmap->rend;
1182   PetscInt       *cmap,*idx_p,cstart = mat->rstartbs;
1183 
1184   PetscFunctionBegin;
1185   if (mat->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Already active");
1186   mat->getrowactive = PETSC_TRUE;
1187 
1188   if (!mat->rowvalues && (idx || v)) {
1189     /*
1190         allocate enough space to hold information from the longest row.
1191     */
1192     Mat_SeqSBAIJ *Aa = (Mat_SeqSBAIJ*)mat->A->data;
1193     Mat_SeqBAIJ  *Ba = (Mat_SeqBAIJ*)mat->B->data;
1194     PetscInt     max = 1,mbs = mat->mbs,tmp;
1195     for (i=0; i<mbs; i++) {
1196       tmp = Aa->i[i+1] - Aa->i[i] + Ba->i[i+1] - Ba->i[i]; /* row length */
1197       if (max < tmp) max = tmp;
1198     }
1199     ierr = PetscMalloc2(max*bs2,&mat->rowvalues,max*bs2,&mat->rowindices);CHKERRQ(ierr);
1200   }
1201 
1202   if (row < brstart || row >= brend) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local rows");
1203   lrow = row - brstart;  /* local row index */
1204 
1205   pvA = &vworkA; pcA = &cworkA; pvB = &vworkB; pcB = &cworkB;
1206   if (!v)   {pvA = 0; pvB = 0;}
1207   if (!idx) {pcA = 0; if (!v) pcB = 0;}
1208   ierr  = (*mat->A->ops->getrow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1209   ierr  = (*mat->B->ops->getrow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1210   nztot = nzA + nzB;
1211 
1212   cmap = mat->garray;
1213   if (v  || idx) {
1214     if (nztot) {
1215       /* Sort by increasing column numbers, assuming A and B already sorted */
1216       PetscInt imark = -1;
1217       if (v) {
1218         *v = v_p = mat->rowvalues;
1219         for (i=0; i<nzB; i++) {
1220           if (cmap[cworkB[i]/bs] < cstart) v_p[i] = vworkB[i];
1221           else break;
1222         }
1223         imark = i;
1224         for (i=0; i<nzA; i++)     v_p[imark+i] = vworkA[i];
1225         for (i=imark; i<nzB; i++) v_p[nzA+i]   = vworkB[i];
1226       }
1227       if (idx) {
1228         *idx = idx_p = mat->rowindices;
1229         if (imark > -1) {
1230           for (i=0; i<imark; i++) {
1231             idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1232           }
1233         } else {
1234           for (i=0; i<nzB; i++) {
1235             if (cmap[cworkB[i]/bs] < cstart) idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1236             else break;
1237           }
1238           imark = i;
1239         }
1240         for (i=0; i<nzA; i++)     idx_p[imark+i] = cstart*bs + cworkA[i];
1241         for (i=imark; i<nzB; i++) idx_p[nzA+i]   = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1242       }
1243     } else {
1244       if (idx) *idx = 0;
1245       if (v)   *v   = 0;
1246     }
1247   }
1248   *nz  = nztot;
1249   ierr = (*mat->A->ops->restorerow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1250   ierr = (*mat->B->ops->restorerow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1251   PetscFunctionReturn(0);
1252 }
1253 
1254 #undef __FUNCT__
1255 #define __FUNCT__ "MatRestoreRow_MPISBAIJ"
1256 PetscErrorCode MatRestoreRow_MPISBAIJ(Mat mat,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1257 {
1258   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
1259 
1260   PetscFunctionBegin;
1261   if (!baij->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"MatGetRow() must be called first");
1262   baij->getrowactive = PETSC_FALSE;
1263   PetscFunctionReturn(0);
1264 }
1265 
1266 #undef __FUNCT__
1267 #define __FUNCT__ "MatGetRowUpperTriangular_MPISBAIJ"
1268 PetscErrorCode MatGetRowUpperTriangular_MPISBAIJ(Mat A)
1269 {
1270   Mat_MPISBAIJ *a  = (Mat_MPISBAIJ*)A->data;
1271   Mat_SeqSBAIJ *aA = (Mat_SeqSBAIJ*)a->A->data;
1272 
1273   PetscFunctionBegin;
1274   aA->getrow_utriangular = PETSC_TRUE;
1275   PetscFunctionReturn(0);
1276 }
1277 #undef __FUNCT__
1278 #define __FUNCT__ "MatRestoreRowUpperTriangular_MPISBAIJ"
1279 PetscErrorCode MatRestoreRowUpperTriangular_MPISBAIJ(Mat A)
1280 {
1281   Mat_MPISBAIJ *a  = (Mat_MPISBAIJ*)A->data;
1282   Mat_SeqSBAIJ *aA = (Mat_SeqSBAIJ*)a->A->data;
1283 
1284   PetscFunctionBegin;
1285   aA->getrow_utriangular = PETSC_FALSE;
1286   PetscFunctionReturn(0);
1287 }
1288 
1289 #undef __FUNCT__
1290 #define __FUNCT__ "MatRealPart_MPISBAIJ"
1291 PetscErrorCode MatRealPart_MPISBAIJ(Mat A)
1292 {
1293   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1294   PetscErrorCode ierr;
1295 
1296   PetscFunctionBegin;
1297   ierr = MatRealPart(a->A);CHKERRQ(ierr);
1298   ierr = MatRealPart(a->B);CHKERRQ(ierr);
1299   PetscFunctionReturn(0);
1300 }
1301 
1302 #undef __FUNCT__
1303 #define __FUNCT__ "MatImaginaryPart_MPISBAIJ"
1304 PetscErrorCode MatImaginaryPart_MPISBAIJ(Mat A)
1305 {
1306   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1307   PetscErrorCode ierr;
1308 
1309   PetscFunctionBegin;
1310   ierr = MatImaginaryPart(a->A);CHKERRQ(ierr);
1311   ierr = MatImaginaryPart(a->B);CHKERRQ(ierr);
1312   PetscFunctionReturn(0);
1313 }
1314 
1315 /* Check if isrow is a subset of iscol_local, called by MatGetSubMatrix_MPISBAIJ()
1316    Input: isrow       - distributed(parallel),
1317           iscol_local - locally owned (seq)
1318 */
1319 #undef __FUNCT__
1320 #define __FUNCT__ "ISEqual_private"
1321 PetscErrorCode ISEqual_private(IS isrow,IS iscol_local,PetscBool  *flg)
1322 {
1323   PetscErrorCode ierr;
1324   PetscInt       sz1,sz2,*a1,*a2,i,j,k,nmatch;
1325   const PetscInt *ptr1,*ptr2;
1326 
1327   PetscFunctionBegin;
1328   ierr = ISGetLocalSize(isrow,&sz1);CHKERRQ(ierr);
1329   ierr = ISGetLocalSize(iscol_local,&sz2);CHKERRQ(ierr);
1330   if (sz1 > sz2) {
1331     *flg = PETSC_FALSE;
1332     PetscFunctionReturn(0);
1333   }
1334 
1335   ierr = ISGetIndices(isrow,&ptr1);CHKERRQ(ierr);
1336   ierr = ISGetIndices(iscol_local,&ptr2);CHKERRQ(ierr);
1337 
1338   ierr = PetscMalloc1(sz1,&a1);CHKERRQ(ierr);
1339   ierr = PetscMalloc1(sz2,&a2);CHKERRQ(ierr);
1340   ierr = PetscMemcpy(a1,ptr1,sz1*sizeof(PetscInt));CHKERRQ(ierr);
1341   ierr = PetscMemcpy(a2,ptr2,sz2*sizeof(PetscInt));CHKERRQ(ierr);
1342   ierr = PetscSortInt(sz1,a1);CHKERRQ(ierr);
1343   ierr = PetscSortInt(sz2,a2);CHKERRQ(ierr);
1344 
1345   nmatch=0;
1346   k     = 0;
1347   for (i=0; i<sz1; i++){
1348     for (j=k; j<sz2; j++){
1349       if (a1[i] == a2[j]) {
1350         k = j; nmatch++;
1351         break;
1352       }
1353     }
1354   }
1355   ierr = ISRestoreIndices(isrow,&ptr1);CHKERRQ(ierr);
1356   ierr = ISRestoreIndices(iscol_local,&ptr2);CHKERRQ(ierr);
1357   ierr = PetscFree(a1);CHKERRQ(ierr);
1358   ierr = PetscFree(a2);CHKERRQ(ierr);
1359   if (nmatch < sz1) {
1360     *flg = PETSC_FALSE;
1361   } else {
1362     *flg = PETSC_TRUE;
1363   }
1364   PetscFunctionReturn(0);
1365 }
1366 
1367 #undef __FUNCT__
1368 #define __FUNCT__ "MatGetSubMatrix_MPISBAIJ"
1369 PetscErrorCode MatGetSubMatrix_MPISBAIJ(Mat mat,IS isrow,IS iscol,MatReuse call,Mat *newmat)
1370 {
1371   PetscErrorCode ierr;
1372   IS             iscol_local;
1373   PetscInt       csize;
1374   PetscBool      isequal;
1375 
1376   PetscFunctionBegin;
1377   ierr = ISGetLocalSize(iscol,&csize);CHKERRQ(ierr);
1378   if (call == MAT_REUSE_MATRIX) {
1379     ierr = PetscObjectQuery((PetscObject)*newmat,"ISAllGather",(PetscObject*)&iscol_local);CHKERRQ(ierr);
1380     if (!iscol_local) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Submatrix passed in was not used before, cannot reuse");
1381   } else {
1382     ierr = ISAllGather(iscol,&iscol_local);CHKERRQ(ierr);
1383     ierr = ISEqual_private(isrow,iscol_local,&isequal);CHKERRQ(ierr);
1384     if (!isequal) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"For symmetric format, iscol must equal isrow");
1385   }
1386 
1387   /* now call MatGetSubMatrix_MPIBAIJ() */
1388   ierr = MatGetSubMatrix_MPIBAIJ_Private(mat,isrow,iscol_local,csize,call,newmat);CHKERRQ(ierr);
1389   if (call == MAT_INITIAL_MATRIX) {
1390     ierr = PetscObjectCompose((PetscObject)*newmat,"ISAllGather",(PetscObject)iscol_local);CHKERRQ(ierr);
1391     ierr = ISDestroy(&iscol_local);CHKERRQ(ierr);
1392   }
1393   PetscFunctionReturn(0);
1394 }
1395 
1396 #undef __FUNCT__
1397 #define __FUNCT__ "MatZeroEntries_MPISBAIJ"
1398 PetscErrorCode MatZeroEntries_MPISBAIJ(Mat A)
1399 {
1400   Mat_MPISBAIJ   *l = (Mat_MPISBAIJ*)A->data;
1401   PetscErrorCode ierr;
1402 
1403   PetscFunctionBegin;
1404   ierr = MatZeroEntries(l->A);CHKERRQ(ierr);
1405   ierr = MatZeroEntries(l->B);CHKERRQ(ierr);
1406   PetscFunctionReturn(0);
1407 }
1408 
1409 #undef __FUNCT__
1410 #define __FUNCT__ "MatGetInfo_MPISBAIJ"
1411 PetscErrorCode MatGetInfo_MPISBAIJ(Mat matin,MatInfoType flag,MatInfo *info)
1412 {
1413   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)matin->data;
1414   Mat            A  = a->A,B = a->B;
1415   PetscErrorCode ierr;
1416   PetscReal      isend[5],irecv[5];
1417 
1418   PetscFunctionBegin;
1419   info->block_size = (PetscReal)matin->rmap->bs;
1420 
1421   ierr = MatGetInfo(A,MAT_LOCAL,info);CHKERRQ(ierr);
1422 
1423   isend[0] = info->nz_used; isend[1] = info->nz_allocated; isend[2] = info->nz_unneeded;
1424   isend[3] = info->memory;  isend[4] = info->mallocs;
1425 
1426   ierr = MatGetInfo(B,MAT_LOCAL,info);CHKERRQ(ierr);
1427 
1428   isend[0] += info->nz_used; isend[1] += info->nz_allocated; isend[2] += info->nz_unneeded;
1429   isend[3] += info->memory;  isend[4] += info->mallocs;
1430   if (flag == MAT_LOCAL) {
1431     info->nz_used      = isend[0];
1432     info->nz_allocated = isend[1];
1433     info->nz_unneeded  = isend[2];
1434     info->memory       = isend[3];
1435     info->mallocs      = isend[4];
1436   } else if (flag == MAT_GLOBAL_MAX) {
1437     ierr = MPIU_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)matin));CHKERRQ(ierr);
1438 
1439     info->nz_used      = irecv[0];
1440     info->nz_allocated = irecv[1];
1441     info->nz_unneeded  = irecv[2];
1442     info->memory       = irecv[3];
1443     info->mallocs      = irecv[4];
1444   } else if (flag == MAT_GLOBAL_SUM) {
1445     ierr = MPIU_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)matin));CHKERRQ(ierr);
1446 
1447     info->nz_used      = irecv[0];
1448     info->nz_allocated = irecv[1];
1449     info->nz_unneeded  = irecv[2];
1450     info->memory       = irecv[3];
1451     info->mallocs      = irecv[4];
1452   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Unknown MatInfoType argument %d",(int)flag);
1453   info->fill_ratio_given  = 0; /* no parallel LU/ILU/Cholesky */
1454   info->fill_ratio_needed = 0;
1455   info->factor_mallocs    = 0;
1456   PetscFunctionReturn(0);
1457 }
1458 
1459 #undef __FUNCT__
1460 #define __FUNCT__ "MatSetOption_MPISBAIJ"
1461 PetscErrorCode MatSetOption_MPISBAIJ(Mat A,MatOption op,PetscBool flg)
1462 {
1463   Mat_MPISBAIJ   *a  = (Mat_MPISBAIJ*)A->data;
1464   Mat_SeqSBAIJ   *aA = (Mat_SeqSBAIJ*)a->A->data;
1465   PetscErrorCode ierr;
1466 
1467   PetscFunctionBegin;
1468   switch (op) {
1469   case MAT_NEW_NONZERO_LOCATIONS:
1470   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1471   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1472   case MAT_KEEP_NONZERO_PATTERN:
1473   case MAT_NEW_NONZERO_LOCATION_ERR:
1474     MatCheckPreallocated(A,1);
1475     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1476     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1477     break;
1478   case MAT_ROW_ORIENTED:
1479     MatCheckPreallocated(A,1);
1480     a->roworiented = flg;
1481 
1482     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1483     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1484     break;
1485   case MAT_NEW_DIAGONALS:
1486     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1487     break;
1488   case MAT_IGNORE_OFF_PROC_ENTRIES:
1489     a->donotstash = flg;
1490     break;
1491   case MAT_USE_HASH_TABLE:
1492     a->ht_flag = flg;
1493     break;
1494   case MAT_HERMITIAN:
1495     MatCheckPreallocated(A,1);
1496     if (!A->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call MatAssemblyEnd() first");
1497     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1498 
1499     A->ops->mult = MatMult_MPISBAIJ_Hermitian;
1500     break;
1501   case MAT_SPD:
1502     A->spd_set = PETSC_TRUE;
1503     A->spd     = flg;
1504     if (flg) {
1505       A->symmetric                  = PETSC_TRUE;
1506       A->structurally_symmetric     = PETSC_TRUE;
1507       A->symmetric_set              = PETSC_TRUE;
1508       A->structurally_symmetric_set = PETSC_TRUE;
1509     }
1510     break;
1511   case MAT_SYMMETRIC:
1512     MatCheckPreallocated(A,1);
1513     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1514     break;
1515   case MAT_STRUCTURALLY_SYMMETRIC:
1516     MatCheckPreallocated(A,1);
1517     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1518     break;
1519   case MAT_SYMMETRY_ETERNAL:
1520     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Matrix must be symmetric");
1521     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1522     break;
1523   case MAT_IGNORE_LOWER_TRIANGULAR:
1524     aA->ignore_ltriangular = flg;
1525     break;
1526   case MAT_ERROR_LOWER_TRIANGULAR:
1527     aA->ignore_ltriangular = flg;
1528     break;
1529   case MAT_GETROW_UPPERTRIANGULAR:
1530     aA->getrow_utriangular = flg;
1531     break;
1532   default:
1533     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
1534   }
1535   PetscFunctionReturn(0);
1536 }
1537 
1538 #undef __FUNCT__
1539 #define __FUNCT__ "MatTranspose_MPISBAIJ"
1540 PetscErrorCode MatTranspose_MPISBAIJ(Mat A,MatReuse reuse,Mat *B)
1541 {
1542   PetscErrorCode ierr;
1543 
1544   PetscFunctionBegin;
1545   if (MAT_INITIAL_MATRIX || *B != A) {
1546     ierr = MatDuplicate(A,MAT_COPY_VALUES,B);CHKERRQ(ierr);
1547   }
1548   PetscFunctionReturn(0);
1549 }
1550 
1551 #undef __FUNCT__
1552 #define __FUNCT__ "MatDiagonalScale_MPISBAIJ"
1553 PetscErrorCode MatDiagonalScale_MPISBAIJ(Mat mat,Vec ll,Vec rr)
1554 {
1555   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
1556   Mat            a     = baij->A, b=baij->B;
1557   PetscErrorCode ierr;
1558   PetscInt       nv,m,n;
1559   PetscBool      flg;
1560 
1561   PetscFunctionBegin;
1562   if (ll != rr) {
1563     ierr = VecEqual(ll,rr,&flg);CHKERRQ(ierr);
1564     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"For symmetric format, left and right scaling vectors must be same\n");
1565   }
1566   if (!ll) PetscFunctionReturn(0);
1567 
1568   ierr = MatGetLocalSize(mat,&m,&n);CHKERRQ(ierr);
1569   if (m != n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"For symmetric format, local size %d %d must be same",m,n);
1570 
1571   ierr = VecGetLocalSize(rr,&nv);CHKERRQ(ierr);
1572   if (nv!=n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Left and right vector non-conforming local size");
1573 
1574   ierr = VecScatterBegin(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1575 
1576   /* left diagonalscale the off-diagonal part */
1577   ierr = (*b->ops->diagonalscale)(b,ll,NULL);CHKERRQ(ierr);
1578 
1579   /* scale the diagonal part */
1580   ierr = (*a->ops->diagonalscale)(a,ll,rr);CHKERRQ(ierr);
1581 
1582   /* right diagonalscale the off-diagonal part */
1583   ierr = VecScatterEnd(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1584   ierr = (*b->ops->diagonalscale)(b,NULL,baij->lvec);CHKERRQ(ierr);
1585   PetscFunctionReturn(0);
1586 }
1587 
1588 #undef __FUNCT__
1589 #define __FUNCT__ "MatSetUnfactored_MPISBAIJ"
1590 PetscErrorCode MatSetUnfactored_MPISBAIJ(Mat A)
1591 {
1592   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1593   PetscErrorCode ierr;
1594 
1595   PetscFunctionBegin;
1596   ierr = MatSetUnfactored(a->A);CHKERRQ(ierr);
1597   PetscFunctionReturn(0);
1598 }
1599 
1600 static PetscErrorCode MatDuplicate_MPISBAIJ(Mat,MatDuplicateOption,Mat*);
1601 
1602 #undef __FUNCT__
1603 #define __FUNCT__ "MatEqual_MPISBAIJ"
1604 PetscErrorCode MatEqual_MPISBAIJ(Mat A,Mat B,PetscBool  *flag)
1605 {
1606   Mat_MPISBAIJ   *matB = (Mat_MPISBAIJ*)B->data,*matA = (Mat_MPISBAIJ*)A->data;
1607   Mat            a,b,c,d;
1608   PetscBool      flg;
1609   PetscErrorCode ierr;
1610 
1611   PetscFunctionBegin;
1612   a = matA->A; b = matA->B;
1613   c = matB->A; d = matB->B;
1614 
1615   ierr = MatEqual(a,c,&flg);CHKERRQ(ierr);
1616   if (flg) {
1617     ierr = MatEqual(b,d,&flg);CHKERRQ(ierr);
1618   }
1619   ierr = MPIU_Allreduce(&flg,flag,1,MPIU_BOOL,MPI_LAND,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
1620   PetscFunctionReturn(0);
1621 }
1622 
1623 #undef __FUNCT__
1624 #define __FUNCT__ "MatCopy_MPISBAIJ"
1625 PetscErrorCode MatCopy_MPISBAIJ(Mat A,Mat B,MatStructure str)
1626 {
1627   PetscErrorCode ierr;
1628   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1629   Mat_MPISBAIJ   *b = (Mat_MPISBAIJ*)B->data;
1630 
1631   PetscFunctionBegin;
1632   /* If the two matrices don't have the same copy implementation, they aren't compatible for fast copy. */
1633   if ((str != SAME_NONZERO_PATTERN) || (A->ops->copy != B->ops->copy)) {
1634     ierr = MatGetRowUpperTriangular(A);CHKERRQ(ierr);
1635     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
1636     ierr = MatRestoreRowUpperTriangular(A);CHKERRQ(ierr);
1637   } else {
1638     ierr = MatCopy(a->A,b->A,str);CHKERRQ(ierr);
1639     ierr = MatCopy(a->B,b->B,str);CHKERRQ(ierr);
1640   }
1641   PetscFunctionReturn(0);
1642 }
1643 
1644 #undef __FUNCT__
1645 #define __FUNCT__ "MatSetUp_MPISBAIJ"
1646 PetscErrorCode MatSetUp_MPISBAIJ(Mat A)
1647 {
1648   PetscErrorCode ierr;
1649 
1650   PetscFunctionBegin;
1651   ierr = MatMPISBAIJSetPreallocation(A,A->rmap->bs,PETSC_DEFAULT,0,PETSC_DEFAULT,0);CHKERRQ(ierr);
1652   PetscFunctionReturn(0);
1653 }
1654 
1655 #undef __FUNCT__
1656 #define __FUNCT__ "MatAXPY_MPISBAIJ"
1657 PetscErrorCode MatAXPY_MPISBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
1658 {
1659   PetscErrorCode ierr;
1660   Mat_MPISBAIJ   *xx=(Mat_MPISBAIJ*)X->data,*yy=(Mat_MPISBAIJ*)Y->data;
1661   PetscBLASInt   bnz,one=1;
1662   Mat_SeqSBAIJ   *xa,*ya;
1663   Mat_SeqBAIJ    *xb,*yb;
1664 
1665   PetscFunctionBegin;
1666   if (str == SAME_NONZERO_PATTERN) {
1667     PetscScalar alpha = a;
1668     xa   = (Mat_SeqSBAIJ*)xx->A->data;
1669     ya   = (Mat_SeqSBAIJ*)yy->A->data;
1670     ierr = PetscBLASIntCast(xa->nz,&bnz);CHKERRQ(ierr);
1671     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,xa->a,&one,ya->a,&one));
1672     xb   = (Mat_SeqBAIJ*)xx->B->data;
1673     yb   = (Mat_SeqBAIJ*)yy->B->data;
1674     ierr = PetscBLASIntCast(xb->nz,&bnz);CHKERRQ(ierr);
1675     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,xb->a,&one,yb->a,&one));
1676     ierr = PetscObjectStateIncrease((PetscObject)Y);CHKERRQ(ierr);
1677   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
1678     ierr = MatSetOption(X,MAT_GETROW_UPPERTRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
1679     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
1680     ierr = MatSetOption(X,MAT_GETROW_UPPERTRIANGULAR,PETSC_FALSE);CHKERRQ(ierr);
1681   } else {
1682     Mat      B;
1683     PetscInt *nnz_d,*nnz_o,bs=Y->rmap->bs;
1684     if (bs != X->rmap->bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Matrices must have same block size");
1685     ierr = MatGetRowUpperTriangular(X);CHKERRQ(ierr);
1686     ierr = MatGetRowUpperTriangular(Y);CHKERRQ(ierr);
1687     ierr = PetscMalloc1(yy->A->rmap->N,&nnz_d);CHKERRQ(ierr);
1688     ierr = PetscMalloc1(yy->B->rmap->N,&nnz_o);CHKERRQ(ierr);
1689     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
1690     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
1691     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
1692     ierr = MatSetBlockSizesFromMats(B,Y,Y);CHKERRQ(ierr);
1693     ierr = MatSetType(B,MATMPISBAIJ);CHKERRQ(ierr);
1694     ierr = MatAXPYGetPreallocation_SeqSBAIJ(yy->A,xx->A,nnz_d);CHKERRQ(ierr);
1695     ierr = MatAXPYGetPreallocation_MPIBAIJ(yy->B,yy->garray,xx->B,xx->garray,nnz_o);CHKERRQ(ierr);
1696     ierr = MatMPISBAIJSetPreallocation(B,bs,0,nnz_d,0,nnz_o);CHKERRQ(ierr);
1697     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
1698     ierr = MatHeaderReplace(Y,&B);CHKERRQ(ierr);
1699     ierr = PetscFree(nnz_d);CHKERRQ(ierr);
1700     ierr = PetscFree(nnz_o);CHKERRQ(ierr);
1701     ierr = MatRestoreRowUpperTriangular(X);CHKERRQ(ierr);
1702     ierr = MatRestoreRowUpperTriangular(Y);CHKERRQ(ierr);
1703   }
1704   PetscFunctionReturn(0);
1705 }
1706 
1707 #undef __FUNCT__
1708 #define __FUNCT__ "MatGetSubMatrices_MPISBAIJ"
1709 PetscErrorCode MatGetSubMatrices_MPISBAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
1710 {
1711   PetscErrorCode ierr;
1712   PetscInt       i;
1713   PetscBool      flg,sorted;
1714 
1715   PetscFunctionBegin;
1716   for (i = 0; i < n; i++) {
1717     ierr = ISSorted(irow[i],&sorted);CHKERRQ(ierr);
1718     if (!sorted) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Row index set %d not sorted",i);
1719     ierr = ISSorted(icol[i],&sorted);CHKERRQ(ierr);
1720     if (!sorted) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Column index set %d not sorted",i);
1721   }
1722   ierr = MatGetSubMatrices_MPIBAIJ(A,n,irow,icol,scall,B);CHKERRQ(ierr);
1723   for (i=0; i<n; i++) {
1724     ierr = ISEqual(irow[i],icol[i],&flg);CHKERRQ(ierr);
1725     if (!flg) { /* *B[i] is non-symmetric, set flag */
1726       ierr = MatSetOption(*B[i],MAT_SYMMETRIC,PETSC_FALSE);CHKERRQ(ierr);
1727     }
1728   }
1729   PetscFunctionReturn(0);
1730 }
1731 
1732 #undef __FUNCT__
1733 #define __FUNCT__ "MatShift_MPISBAIJ"
1734 PetscErrorCode MatShift_MPISBAIJ(Mat Y,PetscScalar a)
1735 {
1736   PetscErrorCode ierr;
1737   Mat_MPISBAIJ    *maij = (Mat_MPISBAIJ*)Y->data;
1738   Mat_SeqSBAIJ    *aij = (Mat_SeqSBAIJ*)maij->A->data;
1739 
1740   PetscFunctionBegin;
1741   if (!Y->preallocated) {
1742     ierr = MatMPISBAIJSetPreallocation(Y,Y->rmap->bs,1,NULL,0,NULL);CHKERRQ(ierr);
1743   } else if (!aij->nz) {
1744     PetscInt nonew = aij->nonew;
1745     ierr = MatSeqSBAIJSetPreallocation(maij->A,Y->rmap->bs,1,NULL);CHKERRQ(ierr);
1746     aij->nonew = nonew;
1747   }
1748   ierr = MatShift_Basic(Y,a);CHKERRQ(ierr);
1749   PetscFunctionReturn(0);
1750 }
1751 
1752 #undef __FUNCT__
1753 #define __FUNCT__ "MatMissingDiagonal_MPISBAIJ"
1754 PetscErrorCode MatMissingDiagonal_MPISBAIJ(Mat A,PetscBool  *missing,PetscInt *d)
1755 {
1756   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1757   PetscErrorCode ierr;
1758 
1759   PetscFunctionBegin;
1760   if (A->rmap->n != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only works for square matrices");
1761   ierr = MatMissingDiagonal(a->A,missing,d);CHKERRQ(ierr);
1762   if (d) {
1763     PetscInt rstart;
1764     ierr = MatGetOwnershipRange(A,&rstart,NULL);CHKERRQ(ierr);
1765     *d += rstart/A->rmap->bs;
1766 
1767   }
1768   PetscFunctionReturn(0);
1769 }
1770 
1771 
1772 /* -------------------------------------------------------------------*/
1773 static struct _MatOps MatOps_Values = {MatSetValues_MPISBAIJ,
1774                                        MatGetRow_MPISBAIJ,
1775                                        MatRestoreRow_MPISBAIJ,
1776                                        MatMult_MPISBAIJ,
1777                                /*  4*/ MatMultAdd_MPISBAIJ,
1778                                        MatMult_MPISBAIJ,       /* transpose versions are same as non-transpose */
1779                                        MatMultAdd_MPISBAIJ,
1780                                        0,
1781                                        0,
1782                                        0,
1783                                /* 10*/ 0,
1784                                        0,
1785                                        0,
1786                                        MatSOR_MPISBAIJ,
1787                                        MatTranspose_MPISBAIJ,
1788                                /* 15*/ MatGetInfo_MPISBAIJ,
1789                                        MatEqual_MPISBAIJ,
1790                                        MatGetDiagonal_MPISBAIJ,
1791                                        MatDiagonalScale_MPISBAIJ,
1792                                        MatNorm_MPISBAIJ,
1793                                /* 20*/ MatAssemblyBegin_MPISBAIJ,
1794                                        MatAssemblyEnd_MPISBAIJ,
1795                                        MatSetOption_MPISBAIJ,
1796                                        MatZeroEntries_MPISBAIJ,
1797                                /* 24*/ 0,
1798                                        0,
1799                                        0,
1800                                        0,
1801                                        0,
1802                                /* 29*/ MatSetUp_MPISBAIJ,
1803                                        0,
1804                                        0,
1805                                        0,
1806                                        0,
1807                                /* 34*/ MatDuplicate_MPISBAIJ,
1808                                        0,
1809                                        0,
1810                                        0,
1811                                        0,
1812                                /* 39*/ MatAXPY_MPISBAIJ,
1813                                        MatGetSubMatrices_MPISBAIJ,
1814                                        MatIncreaseOverlap_MPISBAIJ,
1815                                        MatGetValues_MPISBAIJ,
1816                                        MatCopy_MPISBAIJ,
1817                                /* 44*/ 0,
1818                                        MatScale_MPISBAIJ,
1819                                        MatShift_MPISBAIJ,
1820                                        0,
1821                                        0,
1822                                /* 49*/ 0,
1823                                        0,
1824                                        0,
1825                                        0,
1826                                        0,
1827                                /* 54*/ 0,
1828                                        0,
1829                                        MatSetUnfactored_MPISBAIJ,
1830                                        0,
1831                                        MatSetValuesBlocked_MPISBAIJ,
1832                                /* 59*/ MatGetSubMatrix_MPISBAIJ,
1833                                        0,
1834                                        0,
1835                                        0,
1836                                        0,
1837                                /* 64*/ 0,
1838                                        0,
1839                                        0,
1840                                        0,
1841                                        0,
1842                                /* 69*/ MatGetRowMaxAbs_MPISBAIJ,
1843                                        0,
1844                                        0,
1845                                        0,
1846                                        0,
1847                                /* 74*/ 0,
1848                                        0,
1849                                        0,
1850                                        0,
1851                                        0,
1852                                /* 79*/ 0,
1853                                        0,
1854                                        0,
1855                                        0,
1856                                        MatLoad_MPISBAIJ,
1857                                /* 84*/ 0,
1858                                        0,
1859                                        0,
1860                                        0,
1861                                        0,
1862                                /* 89*/ 0,
1863                                        0,
1864                                        0,
1865                                        0,
1866                                        0,
1867                                /* 94*/ 0,
1868                                        0,
1869                                        0,
1870                                        0,
1871                                        0,
1872                                /* 99*/ 0,
1873                                        0,
1874                                        0,
1875                                        0,
1876                                        0,
1877                                /*104*/ 0,
1878                                        MatRealPart_MPISBAIJ,
1879                                        MatImaginaryPart_MPISBAIJ,
1880                                        MatGetRowUpperTriangular_MPISBAIJ,
1881                                        MatRestoreRowUpperTriangular_MPISBAIJ,
1882                                /*109*/ 0,
1883                                        0,
1884                                        0,
1885                                        0,
1886                                        MatMissingDiagonal_MPISBAIJ,
1887                                /*114*/ 0,
1888                                        0,
1889                                        0,
1890                                        0,
1891                                        0,
1892                                /*119*/ 0,
1893                                        0,
1894                                        0,
1895                                        0,
1896                                        0,
1897                                /*124*/ 0,
1898                                        0,
1899                                        0,
1900                                        0,
1901                                        0,
1902                                /*129*/ 0,
1903                                        0,
1904                                        0,
1905                                        0,
1906                                        0,
1907                                /*134*/ 0,
1908                                        0,
1909                                        0,
1910                                        0,
1911                                        0,
1912                                /*139*/ 0,
1913                                        0,
1914                                        0,
1915                                        0,
1916                                        0,
1917                                 /*144*/MatCreateMPIMatConcatenateSeqMat_MPISBAIJ
1918 };
1919 
1920 #undef __FUNCT__
1921 #define __FUNCT__ "MatGetDiagonalBlock_MPISBAIJ"
1922 PetscErrorCode  MatGetDiagonalBlock_MPISBAIJ(Mat A,Mat *a)
1923 {
1924   PetscFunctionBegin;
1925   *a = ((Mat_MPISBAIJ*)A->data)->A;
1926   PetscFunctionReturn(0);
1927 }
1928 
1929 #undef __FUNCT__
1930 #define __FUNCT__ "MatMPISBAIJSetPreallocation_MPISBAIJ"
1931 PetscErrorCode  MatMPISBAIJSetPreallocation_MPISBAIJ(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt *d_nnz,PetscInt o_nz,const PetscInt *o_nnz)
1932 {
1933   Mat_MPISBAIJ   *b;
1934   PetscErrorCode ierr;
1935   PetscInt       i,mbs,Mbs;
1936 
1937   PetscFunctionBegin;
1938   ierr = MatSetBlockSize(B,PetscAbs(bs));CHKERRQ(ierr);
1939   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1940   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1941   ierr = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
1942 
1943   b   = (Mat_MPISBAIJ*)B->data;
1944   mbs = B->rmap->n/bs;
1945   Mbs = B->rmap->N/bs;
1946   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);
1947 
1948   B->rmap->bs = bs;
1949   b->bs2      = bs*bs;
1950   b->mbs      = mbs;
1951   b->Mbs      = Mbs;
1952   b->nbs      = B->cmap->n/bs;
1953   b->Nbs      = B->cmap->N/bs;
1954 
1955   for (i=0; i<=b->size; i++) {
1956     b->rangebs[i] = B->rmap->range[i]/bs;
1957   }
1958   b->rstartbs = B->rmap->rstart/bs;
1959   b->rendbs   = B->rmap->rend/bs;
1960 
1961   b->cstartbs = B->cmap->rstart/bs;
1962   b->cendbs   = B->cmap->rend/bs;
1963 
1964   if (!B->preallocated) {
1965     ierr = MatCreate(PETSC_COMM_SELF,&b->A);CHKERRQ(ierr);
1966     ierr = MatSetSizes(b->A,B->rmap->n,B->cmap->n,B->rmap->n,B->cmap->n);CHKERRQ(ierr);
1967     ierr = MatSetType(b->A,MATSEQSBAIJ);CHKERRQ(ierr);
1968     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->A);CHKERRQ(ierr);
1969     ierr = MatCreate(PETSC_COMM_SELF,&b->B);CHKERRQ(ierr);
1970     ierr = MatSetSizes(b->B,B->rmap->n,B->cmap->N,B->rmap->n,B->cmap->N);CHKERRQ(ierr);
1971     ierr = MatSetType(b->B,MATSEQBAIJ);CHKERRQ(ierr);
1972     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->B);CHKERRQ(ierr);
1973     ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),bs,&B->bstash);CHKERRQ(ierr);
1974   }
1975 
1976   ierr = MatSeqSBAIJSetPreallocation(b->A,bs,d_nz,d_nnz);CHKERRQ(ierr);
1977   ierr = MatSeqBAIJSetPreallocation(b->B,bs,o_nz,o_nnz);CHKERRQ(ierr);
1978 
1979   B->preallocated = PETSC_TRUE;
1980   PetscFunctionReturn(0);
1981 }
1982 
1983 #undef __FUNCT__
1984 #define __FUNCT__ "MatMPISBAIJSetPreallocationCSR_MPISBAIJ"
1985 PetscErrorCode MatMPISBAIJSetPreallocationCSR_MPISBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
1986 {
1987   PetscInt       m,rstart,cstart,cend;
1988   PetscInt       i,j,d,nz,nz_max=0,*d_nnz=0,*o_nnz=0;
1989   const PetscInt *JJ    =0;
1990   PetscScalar    *values=0;
1991   PetscErrorCode ierr;
1992 
1993   PetscFunctionBegin;
1994   if (bs < 1) SETERRQ1(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive but it is %D",bs);
1995   ierr   = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
1996   ierr   = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
1997   ierr   = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1998   ierr   = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1999   ierr   = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
2000   m      = B->rmap->n/bs;
2001   rstart = B->rmap->rstart/bs;
2002   cstart = B->cmap->rstart/bs;
2003   cend   = B->cmap->rend/bs;
2004 
2005   if (ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"ii[0] must be 0 but it is %D",ii[0]);
2006   ierr = PetscMalloc2(m,&d_nnz,m,&o_nnz);CHKERRQ(ierr);
2007   for (i=0; i<m; i++) {
2008     nz = ii[i+1] - ii[i];
2009     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Local row %D has a negative number of columns %D",i,nz);
2010     nz_max = PetscMax(nz_max,nz);
2011     JJ     = jj + ii[i];
2012     for (j=0; j<nz; j++) {
2013       if (*JJ >= cstart) break;
2014       JJ++;
2015     }
2016     d = 0;
2017     for (; j<nz; j++) {
2018       if (*JJ++ >= cend) break;
2019       d++;
2020     }
2021     d_nnz[i] = d;
2022     o_nnz[i] = nz - d;
2023   }
2024   ierr = MatMPISBAIJSetPreallocation(B,bs,0,d_nnz,0,o_nnz);CHKERRQ(ierr);
2025   ierr = PetscFree2(d_nnz,o_nnz);CHKERRQ(ierr);
2026 
2027   values = (PetscScalar*)V;
2028   if (!values) {
2029     ierr = PetscMalloc1(bs*bs*nz_max,&values);CHKERRQ(ierr);
2030     ierr = PetscMemzero(values,bs*bs*nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
2031   }
2032   for (i=0; i<m; i++) {
2033     PetscInt          row    = i + rstart;
2034     PetscInt          ncols  = ii[i+1] - ii[i];
2035     const PetscInt    *icols = jj + ii[i];
2036     const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
2037     ierr = MatSetValuesBlocked_MPISBAIJ(B,1,&row,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
2038   }
2039 
2040   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
2041   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2042   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2043   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
2044   PetscFunctionReturn(0);
2045 }
2046 
2047 /*MC
2048    MATMPISBAIJ - MATMPISBAIJ = "mpisbaij" - A matrix type to be used for distributed symmetric sparse block matrices,
2049    based on block compressed sparse row format.  Only the upper triangular portion of the "diagonal" portion of
2050    the matrix is stored.
2051 
2052   For complex numbers by default this matrix is symmetric, NOT Hermitian symmetric. To make it Hermitian symmetric you
2053   can call MatSetOption(Mat, MAT_HERMITIAN);
2054 
2055    Options Database Keys:
2056 . -mat_type mpisbaij - sets the matrix type to "mpisbaij" during a call to MatSetFromOptions()
2057 
2058   Level: beginner
2059 
2060 .seealso: MatCreateMPISBAIJ
2061 M*/
2062 
2063 PETSC_INTERN PetscErrorCode MatConvert_MPISBAIJ_MPISBSTRM(Mat,MatType,MatReuse,Mat*);
2064 
2065 #undef __FUNCT__
2066 #define __FUNCT__ "MatCreate_MPISBAIJ"
2067 PETSC_EXTERN PetscErrorCode MatCreate_MPISBAIJ(Mat B)
2068 {
2069   Mat_MPISBAIJ   *b;
2070   PetscErrorCode ierr;
2071   PetscBool      flg = PETSC_FALSE;
2072 
2073   PetscFunctionBegin;
2074   ierr    = PetscNewLog(B,&b);CHKERRQ(ierr);
2075   B->data = (void*)b;
2076   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
2077 
2078   B->ops->destroy = MatDestroy_MPISBAIJ;
2079   B->ops->view    = MatView_MPISBAIJ;
2080   B->assembled    = PETSC_FALSE;
2081   B->insertmode   = NOT_SET_VALUES;
2082 
2083   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)B),&b->rank);CHKERRQ(ierr);
2084   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&b->size);CHKERRQ(ierr);
2085 
2086   /* build local table of row and column ownerships */
2087   ierr = PetscMalloc1(b->size+2,&b->rangebs);CHKERRQ(ierr);
2088 
2089   /* build cache for off array entries formed */
2090   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),1,&B->stash);CHKERRQ(ierr);
2091 
2092   b->donotstash  = PETSC_FALSE;
2093   b->colmap      = NULL;
2094   b->garray      = NULL;
2095   b->roworiented = PETSC_TRUE;
2096 
2097   /* stuff used in block assembly */
2098   b->barray = 0;
2099 
2100   /* stuff used for matrix vector multiply */
2101   b->lvec    = 0;
2102   b->Mvctx   = 0;
2103   b->slvec0  = 0;
2104   b->slvec0b = 0;
2105   b->slvec1  = 0;
2106   b->slvec1a = 0;
2107   b->slvec1b = 0;
2108   b->sMvctx  = 0;
2109 
2110   /* stuff for MatGetRow() */
2111   b->rowindices   = 0;
2112   b->rowvalues    = 0;
2113   b->getrowactive = PETSC_FALSE;
2114 
2115   /* hash table stuff */
2116   b->ht           = 0;
2117   b->hd           = 0;
2118   b->ht_size      = 0;
2119   b->ht_flag      = PETSC_FALSE;
2120   b->ht_fact      = 0;
2121   b->ht_total_ct  = 0;
2122   b->ht_insert_ct = 0;
2123 
2124   /* stuff for MatGetSubMatrices_MPIBAIJ_local() */
2125   b->ijonly = PETSC_FALSE;
2126 
2127   b->in_loc = 0;
2128   b->v_loc  = 0;
2129   b->n_loc  = 0;
2130 
2131   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_MPISBAIJ);CHKERRQ(ierr);
2132   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_MPISBAIJ);CHKERRQ(ierr);
2133   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetDiagonalBlock_C",MatGetDiagonalBlock_MPISBAIJ);CHKERRQ(ierr);
2134   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPISBAIJSetPreallocation_C",MatMPISBAIJSetPreallocation_MPISBAIJ);CHKERRQ(ierr);
2135   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPISBAIJSetPreallocationCSR_C",MatMPISBAIJSetPreallocationCSR_MPISBAIJ);CHKERRQ(ierr);
2136   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpisbaij_mpisbstrm_C",MatConvert_MPISBAIJ_MPISBSTRM);CHKERRQ(ierr);
2137 #if defined(PETSC_HAVE_ELEMENTAL)
2138   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpisbaij_elemental_C",MatConvert_MPISBAIJ_Elemental);CHKERRQ(ierr);
2139 #endif
2140 
2141   B->symmetric                  = PETSC_TRUE;
2142   B->structurally_symmetric     = PETSC_TRUE;
2143   B->symmetric_set              = PETSC_TRUE;
2144   B->structurally_symmetric_set = PETSC_TRUE;
2145 
2146   ierr = PetscObjectChangeTypeName((PetscObject)B,MATMPISBAIJ);CHKERRQ(ierr);
2147   ierr      = PetscOptionsBegin(PetscObjectComm((PetscObject)B),NULL,"Options for loading MPISBAIJ matrix 1","Mat");CHKERRQ(ierr);
2148   ierr      = PetscOptionsBool("-mat_use_hash_table","Use hash table to save memory in constructing matrix","MatSetOption",flg,&flg,NULL);CHKERRQ(ierr);
2149   if (flg) {
2150     PetscReal fact = 1.39;
2151     ierr = MatSetOption(B,MAT_USE_HASH_TABLE,PETSC_TRUE);CHKERRQ(ierr);
2152     ierr = PetscOptionsReal("-mat_use_hash_table","Use hash table factor","MatMPIBAIJSetHashTableFactor",fact,&fact,NULL);CHKERRQ(ierr);
2153     if (fact <= 1.0) fact = 1.39;
2154     ierr = MatMPIBAIJSetHashTableFactor(B,fact);CHKERRQ(ierr);
2155     ierr = PetscInfo1(B,"Hash table Factor used %5.2f\n",fact);CHKERRQ(ierr);
2156   }
2157   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2158   PetscFunctionReturn(0);
2159 }
2160 
2161 /*MC
2162    MATSBAIJ - MATSBAIJ = "sbaij" - A matrix type to be used for symmetric block sparse matrices.
2163 
2164    This matrix type is identical to MATSEQSBAIJ when constructed with a single process communicator,
2165    and MATMPISBAIJ otherwise.
2166 
2167    Options Database Keys:
2168 . -mat_type sbaij - sets the matrix type to "sbaij" during a call to MatSetFromOptions()
2169 
2170   Level: beginner
2171 
2172 .seealso: MatCreateMPISBAIJ,MATSEQSBAIJ,MATMPISBAIJ
2173 M*/
2174 
2175 #undef __FUNCT__
2176 #define __FUNCT__ "MatMPISBAIJSetPreallocation"
2177 /*@C
2178    MatMPISBAIJSetPreallocation - For good matrix assembly performance
2179    the user should preallocate the matrix storage by setting the parameters
2180    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
2181    performance can be increased by more than a factor of 50.
2182 
2183    Collective on Mat
2184 
2185    Input Parameters:
2186 +  B - the matrix
2187 .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
2188           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
2189 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
2190            submatrix  (same for all local rows)
2191 .  d_nnz - array containing the number of block nonzeros in the various block rows
2192            in the upper triangular and diagonal part of the in diagonal portion of the local
2193            (possibly different for each block row) or NULL.  If you plan to factor the matrix you must leave room
2194            for the diagonal entry and set a value even if it is zero.
2195 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
2196            submatrix (same for all local rows).
2197 -  o_nnz - array containing the number of nonzeros in the various block rows of the
2198            off-diagonal portion of the local submatrix that is right of the diagonal
2199            (possibly different for each block row) or NULL.
2200 
2201 
2202    Options Database Keys:
2203 .   -mat_no_unroll - uses code that does not unroll the loops in the
2204                      block calculations (much slower)
2205 .   -mat_block_size - size of the blocks to use
2206 
2207    Notes:
2208 
2209    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
2210    than it must be used on all processors that share the object for that argument.
2211 
2212    If the *_nnz parameter is given then the *_nz parameter is ignored
2213 
2214    Storage Information:
2215    For a square global matrix we define each processor's diagonal portion
2216    to be its local rows and the corresponding columns (a square submatrix);
2217    each processor's off-diagonal portion encompasses the remainder of the
2218    local matrix (a rectangular submatrix).
2219 
2220    The user can specify preallocated storage for the diagonal part of
2221    the local submatrix with either d_nz or d_nnz (not both).  Set
2222    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
2223    memory allocation.  Likewise, specify preallocated storage for the
2224    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
2225 
2226    You can call MatGetInfo() to get information on how effective the preallocation was;
2227    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
2228    You can also run with the option -info and look for messages with the string
2229    malloc in them to see if additional memory allocation was needed.
2230 
2231    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
2232    the figure below we depict these three local rows and all columns (0-11).
2233 
2234 .vb
2235            0 1 2 3 4 5 6 7 8 9 10 11
2236           --------------------------
2237    row 3  |. . . d d d o o o o  o  o
2238    row 4  |. . . d d d o o o o  o  o
2239    row 5  |. . . d d d o o o o  o  o
2240           --------------------------
2241 .ve
2242 
2243    Thus, any entries in the d locations are stored in the d (diagonal)
2244    submatrix, and any entries in the o locations are stored in the
2245    o (off-diagonal) submatrix.  Note that the d matrix is stored in
2246    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
2247 
2248    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
2249    plus the diagonal part of the d matrix,
2250    and o_nz should indicate the number of block nonzeros per row in the o matrix
2251 
2252    In general, for PDE problems in which most nonzeros are near the diagonal,
2253    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
2254    or you will get TERRIBLE performance; see the users' manual chapter on
2255    matrices.
2256 
2257    Level: intermediate
2258 
2259 .keywords: matrix, block, aij, compressed row, sparse, parallel
2260 
2261 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateBAIJ(), PetscSplitOwnership()
2262 @*/
2263 PetscErrorCode  MatMPISBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
2264 {
2265   PetscErrorCode ierr;
2266 
2267   PetscFunctionBegin;
2268   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
2269   PetscValidType(B,1);
2270   PetscValidLogicalCollectiveInt(B,bs,2);
2271   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);
2272   PetscFunctionReturn(0);
2273 }
2274 
2275 #undef __FUNCT__
2276 #define __FUNCT__ "MatCreateSBAIJ"
2277 /*@C
2278    MatCreateSBAIJ - Creates a sparse parallel matrix in symmetric block AIJ format
2279    (block compressed row).  For good matrix assembly performance
2280    the user should preallocate the matrix storage by setting the parameters
2281    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
2282    performance can be increased by more than a factor of 50.
2283 
2284    Collective on MPI_Comm
2285 
2286    Input Parameters:
2287 +  comm - MPI communicator
2288 .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
2289           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
2290 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
2291            This value should be the same as the local size used in creating the
2292            y vector for the matrix-vector product y = Ax.
2293 .  n - number of local columns (or PETSC_DECIDE to have calculated if N is given)
2294            This value should be the same as the local size used in creating the
2295            x vector for the matrix-vector product y = Ax.
2296 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
2297 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
2298 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
2299            submatrix  (same for all local rows)
2300 .  d_nnz - array containing the number of block nonzeros in the various block rows
2301            in the upper triangular portion of the in diagonal portion of the local
2302            (possibly different for each block block row) or NULL.
2303            If you plan to factor the matrix you must leave room for the diagonal entry and
2304            set its value even if it is zero.
2305 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
2306            submatrix (same for all local rows).
2307 -  o_nnz - array containing the number of nonzeros in the various block rows of the
2308            off-diagonal portion of the local submatrix (possibly different for
2309            each block row) or NULL.
2310 
2311    Output Parameter:
2312 .  A - the matrix
2313 
2314    Options Database Keys:
2315 .   -mat_no_unroll - uses code that does not unroll the loops in the
2316                      block calculations (much slower)
2317 .   -mat_block_size - size of the blocks to use
2318 .   -mat_mpi - use the parallel matrix data structures even on one processor
2319                (defaults to using SeqBAIJ format on one processor)
2320 
2321    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
2322    MatXXXXSetPreallocation() paradgm instead of this routine directly.
2323    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
2324 
2325    Notes:
2326    The number of rows and columns must be divisible by blocksize.
2327    This matrix type does not support complex Hermitian operation.
2328 
2329    The user MUST specify either the local or global matrix dimensions
2330    (possibly both).
2331 
2332    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
2333    than it must be used on all processors that share the object for that argument.
2334 
2335    If the *_nnz parameter is given then the *_nz parameter is ignored
2336 
2337    Storage Information:
2338    For a square global matrix we define each processor's diagonal portion
2339    to be its local rows and the corresponding columns (a square submatrix);
2340    each processor's off-diagonal portion encompasses the remainder of the
2341    local matrix (a rectangular submatrix).
2342 
2343    The user can specify preallocated storage for the diagonal part of
2344    the local submatrix with either d_nz or d_nnz (not both).  Set
2345    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
2346    memory allocation.  Likewise, specify preallocated storage for the
2347    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
2348 
2349    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
2350    the figure below we depict these three local rows and all columns (0-11).
2351 
2352 .vb
2353            0 1 2 3 4 5 6 7 8 9 10 11
2354           --------------------------
2355    row 3  |. . . d d d o o o o  o  o
2356    row 4  |. . . d d d o o o o  o  o
2357    row 5  |. . . d d d o o o o  o  o
2358           --------------------------
2359 .ve
2360 
2361    Thus, any entries in the d locations are stored in the d (diagonal)
2362    submatrix, and any entries in the o locations are stored in the
2363    o (off-diagonal) submatrix.  Note that the d matrix is stored in
2364    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
2365 
2366    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
2367    plus the diagonal part of the d matrix,
2368    and o_nz should indicate the number of block nonzeros per row in the o matrix.
2369    In general, for PDE problems in which most nonzeros are near the diagonal,
2370    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
2371    or you will get TERRIBLE performance; see the users' manual chapter on
2372    matrices.
2373 
2374    Level: intermediate
2375 
2376 .keywords: matrix, block, aij, compressed row, sparse, parallel
2377 
2378 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateBAIJ()
2379 @*/
2380 
2381 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)
2382 {
2383   PetscErrorCode ierr;
2384   PetscMPIInt    size;
2385 
2386   PetscFunctionBegin;
2387   ierr = MatCreate(comm,A);CHKERRQ(ierr);
2388   ierr = MatSetSizes(*A,m,n,M,N);CHKERRQ(ierr);
2389   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2390   if (size > 1) {
2391     ierr = MatSetType(*A,MATMPISBAIJ);CHKERRQ(ierr);
2392     ierr = MatMPISBAIJSetPreallocation(*A,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
2393   } else {
2394     ierr = MatSetType(*A,MATSEQSBAIJ);CHKERRQ(ierr);
2395     ierr = MatSeqSBAIJSetPreallocation(*A,bs,d_nz,d_nnz);CHKERRQ(ierr);
2396   }
2397   PetscFunctionReturn(0);
2398 }
2399 
2400 
2401 #undef __FUNCT__
2402 #define __FUNCT__ "MatDuplicate_MPISBAIJ"
2403 static PetscErrorCode MatDuplicate_MPISBAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
2404 {
2405   Mat            mat;
2406   Mat_MPISBAIJ   *a,*oldmat = (Mat_MPISBAIJ*)matin->data;
2407   PetscErrorCode ierr;
2408   PetscInt       len=0,nt,bs=matin->rmap->bs,mbs=oldmat->mbs;
2409   PetscScalar    *array;
2410 
2411   PetscFunctionBegin;
2412   *newmat = 0;
2413 
2414   ierr = MatCreate(PetscObjectComm((PetscObject)matin),&mat);CHKERRQ(ierr);
2415   ierr = MatSetSizes(mat,matin->rmap->n,matin->cmap->n,matin->rmap->N,matin->cmap->N);CHKERRQ(ierr);
2416   ierr = MatSetType(mat,((PetscObject)matin)->type_name);CHKERRQ(ierr);
2417   ierr = PetscMemcpy(mat->ops,matin->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
2418   ierr = PetscLayoutReference(matin->rmap,&mat->rmap);CHKERRQ(ierr);
2419   ierr = PetscLayoutReference(matin->cmap,&mat->cmap);CHKERRQ(ierr);
2420 
2421   mat->factortype   = matin->factortype;
2422   mat->preallocated = PETSC_TRUE;
2423   mat->assembled    = PETSC_TRUE;
2424   mat->insertmode   = NOT_SET_VALUES;
2425 
2426   a      = (Mat_MPISBAIJ*)mat->data;
2427   a->bs2 = oldmat->bs2;
2428   a->mbs = oldmat->mbs;
2429   a->nbs = oldmat->nbs;
2430   a->Mbs = oldmat->Mbs;
2431   a->Nbs = oldmat->Nbs;
2432 
2433 
2434   a->size         = oldmat->size;
2435   a->rank         = oldmat->rank;
2436   a->donotstash   = oldmat->donotstash;
2437   a->roworiented  = oldmat->roworiented;
2438   a->rowindices   = 0;
2439   a->rowvalues    = 0;
2440   a->getrowactive = PETSC_FALSE;
2441   a->barray       = 0;
2442   a->rstartbs     = oldmat->rstartbs;
2443   a->rendbs       = oldmat->rendbs;
2444   a->cstartbs     = oldmat->cstartbs;
2445   a->cendbs       = oldmat->cendbs;
2446 
2447   /* hash table stuff */
2448   a->ht           = 0;
2449   a->hd           = 0;
2450   a->ht_size      = 0;
2451   a->ht_flag      = oldmat->ht_flag;
2452   a->ht_fact      = oldmat->ht_fact;
2453   a->ht_total_ct  = 0;
2454   a->ht_insert_ct = 0;
2455 
2456   ierr = PetscMemcpy(a->rangebs,oldmat->rangebs,(a->size+2)*sizeof(PetscInt));CHKERRQ(ierr);
2457   if (oldmat->colmap) {
2458 #if defined(PETSC_USE_CTABLE)
2459     ierr = PetscTableCreateCopy(oldmat->colmap,&a->colmap);CHKERRQ(ierr);
2460 #else
2461     ierr = PetscMalloc1(a->Nbs,&a->colmap);CHKERRQ(ierr);
2462     ierr = PetscLogObjectMemory((PetscObject)mat,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2463     ierr = PetscMemcpy(a->colmap,oldmat->colmap,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2464 #endif
2465   } else a->colmap = 0;
2466 
2467   if (oldmat->garray && (len = ((Mat_SeqBAIJ*)(oldmat->B->data))->nbs)) {
2468     ierr = PetscMalloc1(len,&a->garray);CHKERRQ(ierr);
2469     ierr = PetscLogObjectMemory((PetscObject)mat,len*sizeof(PetscInt));CHKERRQ(ierr);
2470     ierr = PetscMemcpy(a->garray,oldmat->garray,len*sizeof(PetscInt));CHKERRQ(ierr);
2471   } else a->garray = 0;
2472 
2473   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)matin),matin->rmap->bs,&mat->bstash);CHKERRQ(ierr);
2474   ierr = VecDuplicate(oldmat->lvec,&a->lvec);CHKERRQ(ierr);
2475   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->lvec);CHKERRQ(ierr);
2476   ierr = VecScatterCopy(oldmat->Mvctx,&a->Mvctx);CHKERRQ(ierr);
2477   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->Mvctx);CHKERRQ(ierr);
2478 
2479   ierr = VecDuplicate(oldmat->slvec0,&a->slvec0);CHKERRQ(ierr);
2480   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0);CHKERRQ(ierr);
2481   ierr = VecDuplicate(oldmat->slvec1,&a->slvec1);CHKERRQ(ierr);
2482   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1);CHKERRQ(ierr);
2483 
2484   ierr = VecGetLocalSize(a->slvec1,&nt);CHKERRQ(ierr);
2485   ierr = VecGetArray(a->slvec1,&array);CHKERRQ(ierr);
2486   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,bs*mbs,array,&a->slvec1a);CHKERRQ(ierr);
2487   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nt-bs*mbs,array+bs*mbs,&a->slvec1b);CHKERRQ(ierr);
2488   ierr = VecRestoreArray(a->slvec1,&array);CHKERRQ(ierr);
2489   ierr = VecGetArray(a->slvec0,&array);CHKERRQ(ierr);
2490   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nt-bs*mbs,array+bs*mbs,&a->slvec0b);CHKERRQ(ierr);
2491   ierr = VecRestoreArray(a->slvec0,&array);CHKERRQ(ierr);
2492   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0);CHKERRQ(ierr);
2493   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1);CHKERRQ(ierr);
2494   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0b);CHKERRQ(ierr);
2495   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1a);CHKERRQ(ierr);
2496   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1b);CHKERRQ(ierr);
2497 
2498   /* ierr =  VecScatterCopy(oldmat->sMvctx,&a->sMvctx); - not written yet, replaced by the lazy trick: */
2499   ierr      = PetscObjectReference((PetscObject)oldmat->sMvctx);CHKERRQ(ierr);
2500   a->sMvctx = oldmat->sMvctx;
2501   ierr      = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->sMvctx);CHKERRQ(ierr);
2502 
2503   ierr    = MatDuplicate(oldmat->A,cpvalues,&a->A);CHKERRQ(ierr);
2504   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->A);CHKERRQ(ierr);
2505   ierr    = MatDuplicate(oldmat->B,cpvalues,&a->B);CHKERRQ(ierr);
2506   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->B);CHKERRQ(ierr);
2507   ierr    = PetscFunctionListDuplicate(((PetscObject)matin)->qlist,&((PetscObject)mat)->qlist);CHKERRQ(ierr);
2508   *newmat = mat;
2509   PetscFunctionReturn(0);
2510 }
2511 
2512 #undef __FUNCT__
2513 #define __FUNCT__ "MatLoad_MPISBAIJ"
2514 PetscErrorCode MatLoad_MPISBAIJ(Mat newmat,PetscViewer viewer)
2515 {
2516   PetscErrorCode ierr;
2517   PetscInt       i,nz,j,rstart,rend;
2518   PetscScalar    *vals,*buf;
2519   MPI_Comm       comm;
2520   MPI_Status     status;
2521   PetscMPIInt    rank,size,tag = ((PetscObject)viewer)->tag,*sndcounts = 0,*browners,maxnz,*rowners,mmbs;
2522   PetscInt       header[4],*rowlengths = 0,M,N,m,*cols,*locrowlens;
2523   PetscInt       *procsnz = 0,jj,*mycols,*ibuf;
2524   PetscInt       bs = newmat->rmap->bs,Mbs,mbs,extra_rows;
2525   PetscInt       *dlens,*odlens,*mask,*masked1,*masked2,rowcount,odcount;
2526   PetscInt       dcount,kmax,k,nzcount,tmp;
2527   int            fd;
2528 
2529   PetscFunctionBegin;
2530   /* force binary viewer to load .info file if it has not yet done so */
2531   ierr = PetscViewerSetUp(viewer);CHKERRQ(ierr);
2532   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
2533   ierr = PetscOptionsBegin(comm,NULL,"Options for loading MPISBAIJ matrix 2","Mat");CHKERRQ(ierr);
2534   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
2535   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2536   if (bs < 0) bs = 1;
2537 
2538   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2539   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
2540   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
2541   if (!rank) {
2542     ierr = PetscBinaryRead(fd,(char*)header,4,PETSC_INT);CHKERRQ(ierr);
2543     if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
2544     if (header[3] < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as MPISBAIJ");
2545   }
2546 
2547   ierr = MPI_Bcast(header+1,3,MPIU_INT,0,comm);CHKERRQ(ierr);
2548   M    = header[1];
2549   N    = header[2];
2550 
2551   /* If global sizes are set, check if they are consistent with that given in the file */
2552   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);
2553   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);
2554 
2555   if (M != N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Can only do square matrices");
2556 
2557   /*
2558      This code adds extra rows to make sure the number of rows is
2559      divisible by the blocksize
2560   */
2561   Mbs        = M/bs;
2562   extra_rows = bs - M + bs*(Mbs);
2563   if (extra_rows == bs) extra_rows = 0;
2564   else                  Mbs++;
2565   if (extra_rows &&!rank) {
2566     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
2567   }
2568 
2569   /* determine ownership of all rows */
2570   if (newmat->rmap->n < 0) { /* PETSC_DECIDE */
2571     mbs = Mbs/size + ((Mbs % size) > rank);
2572     m   = mbs*bs;
2573   } else { /* User Set */
2574     m   = newmat->rmap->n;
2575     mbs = m/bs;
2576   }
2577   ierr       = PetscMalloc2(size+1,&rowners,size+1,&browners);CHKERRQ(ierr);
2578   ierr       = PetscMPIIntCast(mbs,&mmbs);CHKERRQ(ierr);
2579   ierr       = MPI_Allgather(&mmbs,1,MPI_INT,rowners+1,1,MPI_INT,comm);CHKERRQ(ierr);
2580   rowners[0] = 0;
2581   for (i=2; i<=size; i++) rowners[i] += rowners[i-1];
2582   for (i=0; i<=size; i++) browners[i] = rowners[i]*bs;
2583   rstart = rowners[rank];
2584   rend   = rowners[rank+1];
2585 
2586   /* distribute row lengths to all processors */
2587   ierr = PetscMalloc1((rend-rstart)*bs,&locrowlens);CHKERRQ(ierr);
2588   if (!rank) {
2589     ierr = PetscMalloc1(M+extra_rows,&rowlengths);CHKERRQ(ierr);
2590     ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
2591     for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
2592     ierr = PetscMalloc1(size,&sndcounts);CHKERRQ(ierr);
2593     for (i=0; i<size; i++) sndcounts[i] = browners[i+1] - browners[i];
2594     ierr = MPI_Scatterv(rowlengths,sndcounts,browners,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2595     ierr = PetscFree(sndcounts);CHKERRQ(ierr);
2596   } else {
2597     ierr = MPI_Scatterv(0,0,0,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2598   }
2599 
2600   if (!rank) {   /* procs[0] */
2601     /* calculate the number of nonzeros on each processor */
2602     ierr = PetscMalloc1(size,&procsnz);CHKERRQ(ierr);
2603     ierr = PetscMemzero(procsnz,size*sizeof(PetscInt));CHKERRQ(ierr);
2604     for (i=0; i<size; i++) {
2605       for (j=rowners[i]*bs; j< rowners[i+1]*bs; j++) {
2606         procsnz[i] += rowlengths[j];
2607       }
2608     }
2609     ierr = PetscFree(rowlengths);CHKERRQ(ierr);
2610 
2611     /* determine max buffer needed and allocate it */
2612     maxnz = 0;
2613     for (i=0; i<size; i++) {
2614       maxnz = PetscMax(maxnz,procsnz[i]);
2615     }
2616     ierr = PetscMalloc1(maxnz,&cols);CHKERRQ(ierr);
2617 
2618     /* read in my part of the matrix column indices  */
2619     nz     = procsnz[0];
2620     ierr   = PetscMalloc1(nz,&ibuf);CHKERRQ(ierr);
2621     mycols = ibuf;
2622     if (size == 1) nz -= extra_rows;
2623     ierr = PetscBinaryRead(fd,mycols,nz,PETSC_INT);CHKERRQ(ierr);
2624     if (size == 1) {
2625       for (i=0; i< extra_rows; i++) mycols[nz+i] = M+i;
2626     }
2627 
2628     /* read in every ones (except the last) and ship off */
2629     for (i=1; i<size-1; i++) {
2630       nz   = procsnz[i];
2631       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2632       ierr = MPI_Send(cols,nz,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
2633     }
2634     /* read in the stuff for the last proc */
2635     if (size != 1) {
2636       nz   = procsnz[size-1] - extra_rows;  /* the extra rows are not on the disk */
2637       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2638       for (i=0; i<extra_rows; i++) cols[nz+i] = M+i;
2639       ierr = MPI_Send(cols,nz+extra_rows,MPIU_INT,size-1,tag,comm);CHKERRQ(ierr);
2640     }
2641     ierr = PetscFree(cols);CHKERRQ(ierr);
2642   } else {  /* procs[i], i>0 */
2643     /* determine buffer space needed for message */
2644     nz = 0;
2645     for (i=0; i<m; i++) nz += locrowlens[i];
2646     ierr   = PetscMalloc1(nz,&ibuf);CHKERRQ(ierr);
2647     mycols = ibuf;
2648     /* receive message of column indices*/
2649     ierr = MPI_Recv(mycols,nz,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
2650     ierr = MPI_Get_count(&status,MPIU_INT,&maxnz);CHKERRQ(ierr);
2651     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2652   }
2653 
2654   /* loop over local rows, determining number of off diagonal entries */
2655   ierr     = PetscMalloc2(rend-rstart,&dlens,rend-rstart,&odlens);CHKERRQ(ierr);
2656   ierr     = PetscMalloc3(Mbs,&mask,Mbs,&masked1,Mbs,&masked2);CHKERRQ(ierr);
2657   ierr     = PetscMemzero(mask,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2658   ierr     = PetscMemzero(masked1,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2659   ierr     = PetscMemzero(masked2,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2660   rowcount = 0;
2661   nzcount  = 0;
2662   for (i=0; i<mbs; i++) {
2663     dcount  = 0;
2664     odcount = 0;
2665     for (j=0; j<bs; j++) {
2666       kmax = locrowlens[rowcount];
2667       for (k=0; k<kmax; k++) {
2668         tmp = mycols[nzcount++]/bs; /* block col. index */
2669         if (!mask[tmp]) {
2670           mask[tmp] = 1;
2671           if (tmp < rstart || tmp >= rend) masked2[odcount++] = tmp; /* entry in off-diag portion */
2672           else masked1[dcount++] = tmp; /* entry in diag portion */
2673         }
2674       }
2675       rowcount++;
2676     }
2677 
2678     dlens[i]  = dcount;  /* d_nzz[i] */
2679     odlens[i] = odcount; /* o_nzz[i] */
2680 
2681     /* zero out the mask elements we set */
2682     for (j=0; j<dcount; j++) mask[masked1[j]] = 0;
2683     for (j=0; j<odcount; j++) mask[masked2[j]] = 0;
2684   }
2685   ierr = MatSetSizes(newmat,m,m,M+extra_rows,N+extra_rows);CHKERRQ(ierr);
2686   ierr = MatMPISBAIJSetPreallocation(newmat,bs,0,dlens,0,odlens);CHKERRQ(ierr);
2687   ierr = MatSetOption(newmat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
2688 
2689   if (!rank) {
2690     ierr = PetscMalloc1(maxnz,&buf);CHKERRQ(ierr);
2691     /* read in my part of the matrix numerical values  */
2692     nz     = procsnz[0];
2693     vals   = buf;
2694     mycols = ibuf;
2695     if (size == 1) nz -= extra_rows;
2696     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2697     if (size == 1) {
2698       for (i=0; i< extra_rows; i++) vals[nz+i] = 1.0;
2699     }
2700 
2701     /* insert into matrix */
2702     jj = rstart*bs;
2703     for (i=0; i<m; i++) {
2704       ierr    = MatSetValues(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2705       mycols += locrowlens[i];
2706       vals   += locrowlens[i];
2707       jj++;
2708     }
2709 
2710     /* read in other processors (except the last one) and ship out */
2711     for (i=1; i<size-1; i++) {
2712       nz   = procsnz[i];
2713       vals = buf;
2714       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2715       ierr = MPI_Send(vals,nz,MPIU_SCALAR,i,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
2716     }
2717     /* the last proc */
2718     if (size != 1) {
2719       nz   = procsnz[i] - extra_rows;
2720       vals = buf;
2721       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2722       for (i=0; i<extra_rows; i++) vals[nz+i] = 1.0;
2723       ierr = MPI_Send(vals,nz+extra_rows,MPIU_SCALAR,size-1,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
2724     }
2725     ierr = PetscFree(procsnz);CHKERRQ(ierr);
2726 
2727   } else {
2728     /* receive numeric values */
2729     ierr = PetscMalloc1(nz,&buf);CHKERRQ(ierr);
2730 
2731     /* receive message of values*/
2732     vals   = buf;
2733     mycols = ibuf;
2734     ierr   = MPI_Recv(vals,nz,MPIU_SCALAR,0,((PetscObject)newmat)->tag,comm,&status);CHKERRQ(ierr);
2735     ierr   = MPI_Get_count(&status,MPIU_SCALAR,&maxnz);CHKERRQ(ierr);
2736     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2737 
2738     /* insert into matrix */
2739     jj = rstart*bs;
2740     for (i=0; i<m; i++) {
2741       ierr    = MatSetValues_MPISBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2742       mycols += locrowlens[i];
2743       vals   += locrowlens[i];
2744       jj++;
2745     }
2746   }
2747 
2748   ierr = PetscFree(locrowlens);CHKERRQ(ierr);
2749   ierr = PetscFree(buf);CHKERRQ(ierr);
2750   ierr = PetscFree(ibuf);CHKERRQ(ierr);
2751   ierr = PetscFree2(rowners,browners);CHKERRQ(ierr);
2752   ierr = PetscFree2(dlens,odlens);CHKERRQ(ierr);
2753   ierr = PetscFree3(mask,masked1,masked2);CHKERRQ(ierr);
2754   ierr = MatAssemblyBegin(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2755   ierr = MatAssemblyEnd(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2756   PetscFunctionReturn(0);
2757 }
2758 
2759 #undef __FUNCT__
2760 #define __FUNCT__ "MatMPISBAIJSetHashTableFactor"
2761 /*XXXXX@
2762    MatMPISBAIJSetHashTableFactor - Sets the factor required to compute the size of the HashTable.
2763 
2764    Input Parameters:
2765 .  mat  - the matrix
2766 .  fact - factor
2767 
2768    Not Collective on Mat, each process can have a different hash factor
2769 
2770    Level: advanced
2771 
2772   Notes:
2773    This can also be set by the command line option: -mat_use_hash_table fact
2774 
2775 .keywords: matrix, hashtable, factor, HT
2776 
2777 .seealso: MatSetOption()
2778 @XXXXX*/
2779 
2780 
2781 #undef __FUNCT__
2782 #define __FUNCT__ "MatGetRowMaxAbs_MPISBAIJ"
2783 PetscErrorCode MatGetRowMaxAbs_MPISBAIJ(Mat A,Vec v,PetscInt idx[])
2784 {
2785   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
2786   Mat_SeqBAIJ    *b = (Mat_SeqBAIJ*)(a->B)->data;
2787   PetscReal      atmp;
2788   PetscReal      *work,*svalues,*rvalues;
2789   PetscErrorCode ierr;
2790   PetscInt       i,bs,mbs,*bi,*bj,brow,j,ncols,krow,kcol,col,row,Mbs,bcol;
2791   PetscMPIInt    rank,size;
2792   PetscInt       *rowners_bs,dest,count,source;
2793   PetscScalar    *va;
2794   MatScalar      *ba;
2795   MPI_Status     stat;
2796 
2797   PetscFunctionBegin;
2798   if (idx) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Send email to petsc-maint@mcs.anl.gov");
2799   ierr = MatGetRowMaxAbs(a->A,v,NULL);CHKERRQ(ierr);
2800   ierr = VecGetArray(v,&va);CHKERRQ(ierr);
2801 
2802   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&size);CHKERRQ(ierr);
2803   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A),&rank);CHKERRQ(ierr);
2804 
2805   bs  = A->rmap->bs;
2806   mbs = a->mbs;
2807   Mbs = a->Mbs;
2808   ba  = b->a;
2809   bi  = b->i;
2810   bj  = b->j;
2811 
2812   /* find ownerships */
2813   rowners_bs = A->rmap->range;
2814 
2815   /* each proc creates an array to be distributed */
2816   ierr = PetscMalloc1(bs*Mbs,&work);CHKERRQ(ierr);
2817   ierr = PetscMemzero(work,bs*Mbs*sizeof(PetscReal));CHKERRQ(ierr);
2818 
2819   /* row_max for B */
2820   if (rank != size-1) {
2821     for (i=0; i<mbs; i++) {
2822       ncols = bi[1] - bi[0]; bi++;
2823       brow  = bs*i;
2824       for (j=0; j<ncols; j++) {
2825         bcol = bs*(*bj);
2826         for (kcol=0; kcol<bs; kcol++) {
2827           col  = bcol + kcol;                /* local col index */
2828           col += rowners_bs[rank+1];      /* global col index */
2829           for (krow=0; krow<bs; krow++) {
2830             atmp = PetscAbsScalar(*ba); ba++;
2831             row  = brow + krow;   /* local row index */
2832             if (PetscRealPart(va[row]) < atmp) va[row] = atmp;
2833             if (work[col] < atmp) work[col] = atmp;
2834           }
2835         }
2836         bj++;
2837       }
2838     }
2839 
2840     /* send values to its owners */
2841     for (dest=rank+1; dest<size; dest++) {
2842       svalues = work + rowners_bs[dest];
2843       count   = rowners_bs[dest+1]-rowners_bs[dest];
2844       ierr    = MPI_Send(svalues,count,MPIU_REAL,dest,rank,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2845     }
2846   }
2847 
2848   /* receive values */
2849   if (rank) {
2850     rvalues = work;
2851     count   = rowners_bs[rank+1]-rowners_bs[rank];
2852     for (source=0; source<rank; source++) {
2853       ierr = MPI_Recv(rvalues,count,MPIU_REAL,MPI_ANY_SOURCE,MPI_ANY_TAG,PetscObjectComm((PetscObject)A),&stat);CHKERRQ(ierr);
2854       /* process values */
2855       for (i=0; i<count; i++) {
2856         if (PetscRealPart(va[i]) < rvalues[i]) va[i] = rvalues[i];
2857       }
2858     }
2859   }
2860 
2861   ierr = VecRestoreArray(v,&va);CHKERRQ(ierr);
2862   ierr = PetscFree(work);CHKERRQ(ierr);
2863   PetscFunctionReturn(0);
2864 }
2865 
2866 #undef __FUNCT__
2867 #define __FUNCT__ "MatSOR_MPISBAIJ"
2868 PetscErrorCode MatSOR_MPISBAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2869 {
2870   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)matin->data;
2871   PetscErrorCode    ierr;
2872   PetscInt          mbs=mat->mbs,bs=matin->rmap->bs;
2873   PetscScalar       *x,*ptr,*from;
2874   Vec               bb1;
2875   const PetscScalar *b;
2876 
2877   PetscFunctionBegin;
2878   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);
2879   if (bs > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2880 
2881   if (flag == SOR_APPLY_UPPER) {
2882     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2883     PetscFunctionReturn(0);
2884   }
2885 
2886   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
2887     if (flag & SOR_ZERO_INITIAL_GUESS) {
2888       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2889       its--;
2890     }
2891 
2892     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2893     while (its--) {
2894 
2895       /* lower triangular part: slvec0b = - B^T*xx */
2896       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2897 
2898       /* copy xx into slvec0a */
2899       ierr = VecGetArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2900       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2901       ierr = PetscMemcpy(ptr,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2902       ierr = VecRestoreArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2903 
2904       ierr = VecScale(mat->slvec0,-1.0);CHKERRQ(ierr);
2905 
2906       /* copy bb into slvec1a */
2907       ierr = VecGetArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2908       ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
2909       ierr = PetscMemcpy(ptr,b,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2910       ierr = VecRestoreArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2911 
2912       /* set slvec1b = 0 */
2913       ierr = VecSet(mat->slvec1b,0.0);CHKERRQ(ierr);
2914 
2915       ierr = VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2916       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2917       ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
2918       ierr = VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2919 
2920       /* upper triangular part: bb1 = bb1 - B*x */
2921       ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,bb1);CHKERRQ(ierr);
2922 
2923       /* local diagonal sweep */
2924       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
2925     }
2926     ierr = VecDestroy(&bb1);CHKERRQ(ierr);
2927   } else if ((flag & SOR_LOCAL_FORWARD_SWEEP) && (its == 1) && (flag & SOR_ZERO_INITIAL_GUESS)) {
2928     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2929   } else if ((flag & SOR_LOCAL_BACKWARD_SWEEP) && (its == 1) && (flag & SOR_ZERO_INITIAL_GUESS)) {
2930     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2931   } else if (flag & SOR_EISENSTAT) {
2932     Vec               xx1;
2933     PetscBool         hasop;
2934     const PetscScalar *diag;
2935     PetscScalar       *sl,scale = (omega - 2.0)/omega;
2936     PetscInt          i,n;
2937 
2938     if (!mat->xx1) {
2939       ierr = VecDuplicate(bb,&mat->xx1);CHKERRQ(ierr);
2940       ierr = VecDuplicate(bb,&mat->bb1);CHKERRQ(ierr);
2941     }
2942     xx1 = mat->xx1;
2943     bb1 = mat->bb1;
2944 
2945     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,(MatSORType)(SOR_ZERO_INITIAL_GUESS | SOR_LOCAL_BACKWARD_SWEEP),fshift,lits,1,xx);CHKERRQ(ierr);
2946 
2947     if (!mat->diag) {
2948       /* this is wrong for same matrix with new nonzero values */
2949       ierr = MatCreateVecs(matin,&mat->diag,NULL);CHKERRQ(ierr);
2950       ierr = MatGetDiagonal(matin,mat->diag);CHKERRQ(ierr);
2951     }
2952     ierr = MatHasOperation(matin,MATOP_MULT_DIAGONAL_BLOCK,&hasop);CHKERRQ(ierr);
2953 
2954     if (hasop) {
2955       ierr = MatMultDiagonalBlock(matin,xx,bb1);CHKERRQ(ierr);
2956       ierr = VecAYPX(mat->slvec1a,scale,bb);CHKERRQ(ierr);
2957     } else {
2958       /*
2959           These two lines are replaced by code that may be a bit faster for a good compiler
2960       ierr = VecPointwiseMult(mat->slvec1a,mat->diag,xx);CHKERRQ(ierr);
2961       ierr = VecAYPX(mat->slvec1a,scale,bb);CHKERRQ(ierr);
2962       */
2963       ierr = VecGetArray(mat->slvec1a,&sl);CHKERRQ(ierr);
2964       ierr = VecGetArrayRead(mat->diag,&diag);CHKERRQ(ierr);
2965       ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
2966       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2967       ierr = VecGetLocalSize(xx,&n);CHKERRQ(ierr);
2968       if (omega == 1.0) {
2969         for (i=0; i<n; i++) sl[i] = b[i] - diag[i]*x[i];
2970         ierr = PetscLogFlops(2.0*n);CHKERRQ(ierr);
2971       } else {
2972         for (i=0; i<n; i++) sl[i] = b[i] + scale*diag[i]*x[i];
2973         ierr = PetscLogFlops(3.0*n);CHKERRQ(ierr);
2974       }
2975       ierr = VecRestoreArray(mat->slvec1a,&sl);CHKERRQ(ierr);
2976       ierr = VecRestoreArrayRead(mat->diag,&diag);CHKERRQ(ierr);
2977       ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
2978       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2979     }
2980 
2981     /* multiply off-diagonal portion of matrix */
2982     ierr = VecSet(mat->slvec1b,0.0);CHKERRQ(ierr);
2983     ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2984     ierr = VecGetArray(mat->slvec0,&from);CHKERRQ(ierr);
2985     ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2986     ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2987     ierr = VecRestoreArray(mat->slvec0,&from);CHKERRQ(ierr);
2988     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2989     ierr = VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2990     ierr = VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2991     ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,mat->slvec1a);CHKERRQ(ierr);
2992 
2993     /* local sweep */
2994     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);
2995     ierr = VecAXPY(xx,1.0,xx1);CHKERRQ(ierr);
2996   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
2997   PetscFunctionReturn(0);
2998 }
2999 
3000 #undef __FUNCT__
3001 #define __FUNCT__ "MatSOR_MPISBAIJ_2comm"
3002 PetscErrorCode MatSOR_MPISBAIJ_2comm(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
3003 {
3004   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
3005   PetscErrorCode ierr;
3006   Vec            lvec1,bb1;
3007 
3008   PetscFunctionBegin;
3009   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);
3010   if (matin->rmap->bs > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
3011 
3012   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
3013     if (flag & SOR_ZERO_INITIAL_GUESS) {
3014       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
3015       its--;
3016     }
3017 
3018     ierr = VecDuplicate(mat->lvec,&lvec1);CHKERRQ(ierr);
3019     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
3020     while (its--) {
3021       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
3022 
3023       /* lower diagonal part: bb1 = bb - B^T*xx */
3024       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,lvec1);CHKERRQ(ierr);
3025       ierr = VecScale(lvec1,-1.0);CHKERRQ(ierr);
3026 
3027       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
3028       ierr = VecCopy(bb,bb1);CHKERRQ(ierr);
3029       ierr = VecScatterBegin(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
3030 
3031       /* upper diagonal part: bb1 = bb1 - B*x */
3032       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
3033       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb1,bb1);CHKERRQ(ierr);
3034 
3035       ierr = VecScatterEnd(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
3036 
3037       /* diagonal sweep */
3038       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
3039     }
3040     ierr = VecDestroy(&lvec1);CHKERRQ(ierr);
3041     ierr = VecDestroy(&bb1);CHKERRQ(ierr);
3042   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
3043   PetscFunctionReturn(0);
3044 }
3045 
3046 #undef __FUNCT__
3047 #define __FUNCT__ "MatCreateMPISBAIJWithArrays"
3048 /*@
3049      MatCreateMPISBAIJWithArrays - creates a MPI SBAIJ matrix using arrays that contain in standard
3050          CSR format the local rows.
3051 
3052    Collective on MPI_Comm
3053 
3054    Input Parameters:
3055 +  comm - MPI communicator
3056 .  bs - the block size, only a block size of 1 is supported
3057 .  m - number of local rows (Cannot be PETSC_DECIDE)
3058 .  n - This value should be the same as the local size used in creating the
3059        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
3060        calculated if N is given) For square matrices n is almost always m.
3061 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
3062 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
3063 .   i - row indices
3064 .   j - column indices
3065 -   a - matrix values
3066 
3067    Output Parameter:
3068 .   mat - the matrix
3069 
3070    Level: intermediate
3071 
3072    Notes:
3073        The i, j, and a arrays ARE copied by this routine into the internal format used by PETSc;
3074      thus you CANNOT change the matrix entries by changing the values of a[] after you have
3075      called this routine. Use MatCreateMPIAIJWithSplitArrays() to avoid needing to copy the arrays.
3076 
3077        The i and j indices are 0 based, and i indices are indices corresponding to the local j array.
3078 
3079 .keywords: matrix, aij, compressed row, sparse, parallel
3080 
3081 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
3082           MPIAIJ, MatCreateAIJ(), MatCreateMPIAIJWithSplitArrays()
3083 @*/
3084 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)
3085 {
3086   PetscErrorCode ierr;
3087 
3088 
3089   PetscFunctionBegin;
3090   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
3091   if (m < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"local number of rows (m) cannot be PETSC_DECIDE, or negative");
3092   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
3093   ierr = MatSetSizes(*mat,m,n,M,N);CHKERRQ(ierr);
3094   ierr = MatSetType(*mat,MATMPISBAIJ);CHKERRQ(ierr);
3095   ierr = MatMPISBAIJSetPreallocationCSR(*mat,bs,i,j,a);CHKERRQ(ierr);
3096   PetscFunctionReturn(0);
3097 }
3098 
3099 
3100 #undef __FUNCT__
3101 #define __FUNCT__ "MatMPISBAIJSetPreallocationCSR"
3102 /*@C
3103    MatMPISBAIJSetPreallocationCSR - Allocates memory for a sparse parallel matrix in BAIJ format
3104    (the default parallel PETSc format).
3105 
3106    Collective on MPI_Comm
3107 
3108    Input Parameters:
3109 +  B - the matrix
3110 .  bs - the block size
3111 .  i - the indices into j for the start of each local row (starts with zero)
3112 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
3113 -  v - optional values in the matrix
3114 
3115    Level: developer
3116 
3117 .keywords: matrix, aij, compressed row, sparse, parallel
3118 
3119 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIBAIJSetPreallocation(), MatCreateAIJ(), MPIAIJ
3120 @*/
3121 PetscErrorCode  MatMPISBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
3122 {
3123   PetscErrorCode ierr;
3124 
3125   PetscFunctionBegin;
3126   ierr = PetscTryMethod(B,"MatMPISBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));CHKERRQ(ierr);
3127   PetscFunctionReturn(0);
3128 }
3129 
3130 #undef __FUNCT__
3131 #define __FUNCT__ "MatCreateMPIMatConcatenateSeqMat_MPISBAIJ"
3132 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_MPISBAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
3133 {
3134   PetscErrorCode ierr;
3135   PetscInt       m,N,i,rstart,nnz,Ii,bs,cbs;
3136   PetscInt       *indx;
3137   PetscScalar    *values;
3138 
3139   PetscFunctionBegin;
3140   ierr = MatGetSize(inmat,&m,&N);CHKERRQ(ierr);
3141   if (scall == MAT_INITIAL_MATRIX) { /* symbolic phase */
3142     Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)inmat->data;
3143     PetscInt       *dnz,*onz,sum,bs,cbs,mbs,Nbs;
3144     PetscInt       *bindx,rmax=a->rmax,j;
3145 
3146     ierr = MatGetBlockSizes(inmat,&bs,&cbs);CHKERRQ(ierr);
3147     mbs = m/bs; Nbs = N/cbs;
3148     if (n == PETSC_DECIDE) {
3149       ierr = PetscSplitOwnership(comm,&n,&Nbs);CHKERRQ(ierr);
3150     }
3151     /* Check sum(n) = Nbs */
3152     ierr = MPIU_Allreduce(&n,&sum,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
3153     if (sum != Nbs) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Sum of local columns != global columns %d",Nbs);
3154 
3155     ierr    = MPI_Scan(&mbs, &rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
3156     rstart -= mbs;
3157 
3158     ierr = PetscMalloc1(rmax,&bindx);CHKERRQ(ierr);
3159     ierr = MatPreallocateInitialize(comm,mbs,n,dnz,onz);CHKERRQ(ierr);
3160     ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
3161     for (i=0; i<mbs; i++) {
3162       ierr = MatGetRow_SeqSBAIJ(inmat,i*bs,&nnz,&indx,NULL);CHKERRQ(ierr); /* non-blocked nnz and indx */
3163       nnz = nnz/bs;
3164       for (j=0; j<nnz; j++) bindx[j] = indx[j*bs]/bs;
3165       ierr = MatPreallocateSet(i+rstart,nnz,bindx,dnz,onz);CHKERRQ(ierr);
3166       ierr = MatRestoreRow_SeqSBAIJ(inmat,i*bs,&nnz,&indx,NULL);CHKERRQ(ierr);
3167     }
3168     ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_FALSE);CHKERRQ(ierr);
3169     ierr = PetscFree(bindx);CHKERRQ(ierr);
3170 
3171     ierr = MatCreate(comm,outmat);CHKERRQ(ierr);
3172     ierr = MatSetSizes(*outmat,m,n*bs,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
3173     ierr = MatSetBlockSizes(*outmat,bs,cbs);CHKERRQ(ierr);
3174     ierr = MatSetType(*outmat,MATMPISBAIJ);CHKERRQ(ierr);
3175     ierr = MatMPISBAIJSetPreallocation(*outmat,bs,0,dnz,0,onz);CHKERRQ(ierr);
3176     ierr = MatPreallocateFinalize(dnz,onz);CHKERRQ(ierr);
3177   }
3178 
3179   /* numeric phase */
3180   ierr = MatGetBlockSizes(inmat,&bs,&cbs);CHKERRQ(ierr);
3181   ierr = MatGetOwnershipRange(*outmat,&rstart,NULL);CHKERRQ(ierr);
3182 
3183   ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
3184   for (i=0; i<m; i++) {
3185     ierr = MatGetRow_SeqSBAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
3186     Ii   = i + rstart;
3187     ierr = MatSetValues(*outmat,1,&Ii,nnz,indx,values,INSERT_VALUES);CHKERRQ(ierr);
3188     ierr = MatRestoreRow_SeqSBAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
3189   }
3190   ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_FALSE);CHKERRQ(ierr);
3191   ierr = MatAssemblyBegin(*outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3192   ierr = MatAssemblyEnd(*outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3193   PetscFunctionReturn(0);
3194 }
3195