xref: /petsc/src/mat/impls/sbaij/mpi/mpisbaij.c (revision 8d3c1932cd76dc2d1ac854cce48898cc6ac885a3)
1 
2 #include <../src/mat/impls/baij/mpi/mpibaij.h>    /*I "petscmat.h" I*/
3 #include <../src/mat/impls/sbaij/mpi/mpisbaij.h>
4 #include <../src/mat/impls/sbaij/seq/sbaij.h>
5 #include <petscblaslapack.h>
6 
7 #if defined(PETSC_HAVE_ELEMENTAL)
8 PETSC_EXTERN PetscErrorCode MatConvert_MPISBAIJ_Elemental(Mat,MatType,MatReuse,Mat*);
9 #endif
10 #undef __FUNCT__
11 #define __FUNCT__ "MatStoreValues_MPISBAIJ"
12 PetscErrorCode  MatStoreValues_MPISBAIJ(Mat mat)
13 {
14   Mat_MPISBAIJ   *aij = (Mat_MPISBAIJ*)mat->data;
15   PetscErrorCode ierr;
16 
17   PetscFunctionBegin;
18   ierr = MatStoreValues(aij->A);CHKERRQ(ierr);
19   ierr = MatStoreValues(aij->B);CHKERRQ(ierr);
20   PetscFunctionReturn(0);
21 }
22 
23 #undef __FUNCT__
24 #define __FUNCT__ "MatRetrieveValues_MPISBAIJ"
25 PetscErrorCode  MatRetrieveValues_MPISBAIJ(Mat mat)
26 {
27   Mat_MPISBAIJ   *aij = (Mat_MPISBAIJ*)mat->data;
28   PetscErrorCode ierr;
29 
30   PetscFunctionBegin;
31   ierr = MatRetrieveValues(aij->A);CHKERRQ(ierr);
32   ierr = MatRetrieveValues(aij->B);CHKERRQ(ierr);
33   PetscFunctionReturn(0);
34 }
35 
36 #define  MatSetValues_SeqSBAIJ_A_Private(row,col,value,addv,orow,ocol)      \
37   { \
38  \
39     brow = row/bs;  \
40     rp   = aj + ai[brow]; ap = aa + bs2*ai[brow]; \
41     rmax = aimax[brow]; nrow = ailen[brow]; \
42     bcol = col/bs; \
43     ridx = row % bs; cidx = col % bs; \
44     low  = 0; high = nrow; \
45     while (high-low > 3) { \
46       t = (low+high)/2; \
47       if (rp[t] > bcol) high = t; \
48       else              low  = t; \
49     } \
50     for (_i=low; _i<high; _i++) { \
51       if (rp[_i] > bcol) break; \
52       if (rp[_i] == bcol) { \
53         bap = ap + bs2*_i + bs*cidx + ridx; \
54         if (addv == ADD_VALUES) *bap += value;  \
55         else                    *bap  = value;  \
56         goto a_noinsert; \
57       } \
58     } \
59     if (a->nonew == 1) goto a_noinsert; \
60     if (a->nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero at global row/column (%D, %D) into matrix", orow, ocol); \
61     MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,aimax,a->nonew,MatScalar); \
62     N = nrow++ - 1;  \
63     /* shift up all the later entries in this row */ \
64     for (ii=N; ii>=_i; ii--) { \
65       rp[ii+1] = rp[ii]; \
66       ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
67     } \
68     if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr); }  \
69     rp[_i]                      = bcol;  \
70     ap[bs2*_i + bs*cidx + ridx] = value;  \
71     A->nonzerostate++;\
72 a_noinsert:; \
73     ailen[brow] = nrow; \
74   }
75 
76 #define  MatSetValues_SeqSBAIJ_B_Private(row,col,value,addv,orow,ocol) \
77   { \
78     brow = row/bs;  \
79     rp   = bj + bi[brow]; ap = ba + bs2*bi[brow]; \
80     rmax = bimax[brow]; nrow = bilen[brow]; \
81     bcol = col/bs; \
82     ridx = row % bs; cidx = col % bs; \
83     low  = 0; high = nrow; \
84     while (high-low > 3) { \
85       t = (low+high)/2; \
86       if (rp[t] > bcol) high = t; \
87       else              low  = t; \
88     } \
89     for (_i=low; _i<high; _i++) { \
90       if (rp[_i] > bcol) break; \
91       if (rp[_i] == bcol) { \
92         bap = ap + bs2*_i + bs*cidx + ridx; \
93         if (addv == ADD_VALUES) *bap += value;  \
94         else                    *bap  = value;  \
95         goto b_noinsert; \
96       } \
97     } \
98     if (b->nonew == 1) goto b_noinsert; \
99     if (b->nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero at global row/column (%D, %D) into matrix", orow, ocol); \
100     MatSeqXAIJReallocateAIJ(B,b->mbs,bs2,nrow,brow,bcol,rmax,ba,bi,bj,rp,ap,bimax,b->nonew,MatScalar); \
101     N = nrow++ - 1;  \
102     /* shift up all the later entries in this row */ \
103     for (ii=N; ii>=_i; ii--) { \
104       rp[ii+1] = rp[ii]; \
105       ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
106     } \
107     if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr);}  \
108     rp[_i]                      = bcol;  \
109     ap[bs2*_i + bs*cidx + ridx] = value;  \
110     B->nonzerostate++;\
111 b_noinsert:; \
112     bilen[brow] = nrow; \
113   }
114 
115 /* Only add/insert a(i,j) with i<=j (blocks).
116    Any a(i,j) with i>j input by user is ingored.
117 */
118 #undef __FUNCT__
119 #define __FUNCT__ "MatSetValues_MPISBAIJ"
120 PetscErrorCode MatSetValues_MPISBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
121 {
122   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
123   MatScalar      value;
124   PetscBool      roworiented = baij->roworiented;
125   PetscErrorCode ierr;
126   PetscInt       i,j,row,col;
127   PetscInt       rstart_orig=mat->rmap->rstart;
128   PetscInt       rend_orig  =mat->rmap->rend,cstart_orig=mat->cmap->rstart;
129   PetscInt       cend_orig  =mat->cmap->rend,bs=mat->rmap->bs;
130 
131   /* Some Variables required in the macro */
132   Mat          A     = baij->A;
133   Mat_SeqSBAIJ *a    = (Mat_SeqSBAIJ*)(A)->data;
134   PetscInt     *aimax=a->imax,*ai=a->i,*ailen=a->ilen,*aj=a->j;
135   MatScalar    *aa   =a->a;
136 
137   Mat         B     = baij->B;
138   Mat_SeqBAIJ *b    = (Mat_SeqBAIJ*)(B)->data;
139   PetscInt    *bimax=b->imax,*bi=b->i,*bilen=b->ilen,*bj=b->j;
140   MatScalar   *ba   =b->a;
141 
142   PetscInt  *rp,ii,nrow,_i,rmax,N,brow,bcol;
143   PetscInt  low,high,t,ridx,cidx,bs2=a->bs2;
144   MatScalar *ap,*bap;
145 
146   /* for stash */
147   PetscInt  n_loc, *in_loc = NULL;
148   MatScalar *v_loc = NULL;
149 
150   PetscFunctionBegin;
151   if (!baij->donotstash) {
152     if (n > baij->n_loc) {
153       ierr = PetscFree(baij->in_loc);CHKERRQ(ierr);
154       ierr = PetscFree(baij->v_loc);CHKERRQ(ierr);
155       ierr = PetscMalloc1(n,&baij->in_loc);CHKERRQ(ierr);
156       ierr = PetscMalloc1(n,&baij->v_loc);CHKERRQ(ierr);
157 
158       baij->n_loc = n;
159     }
160     in_loc = baij->in_loc;
161     v_loc  = baij->v_loc;
162   }
163 
164   for (i=0; i<m; i++) {
165     if (im[i] < 0) continue;
166 #if defined(PETSC_USE_DEBUG)
167     if (im[i] >= mat->rmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",im[i],mat->rmap->N-1);
168 #endif
169     if (im[i] >= rstart_orig && im[i] < rend_orig) { /* this processor entry */
170       row = im[i] - rstart_orig;              /* local row index */
171       for (j=0; j<n; j++) {
172         if (im[i]/bs > in[j]/bs) {
173           if (a->ignore_ltriangular) {
174             continue;    /* ignore lower triangular blocks */
175           } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"Lower triangular value cannot be set for sbaij format. Ignoring these values, run with -mat_ignore_lower_triangular or call MatSetOption(mat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE)");
176         }
177         if (in[j] >= cstart_orig && in[j] < cend_orig) {  /* diag entry (A) */
178           col  = in[j] - cstart_orig;         /* local col index */
179           brow = row/bs; bcol = col/bs;
180           if (brow > bcol) continue;  /* ignore lower triangular blocks of A */
181           if (roworiented) value = v[i*n+j];
182           else             value = v[i+j*m];
183           MatSetValues_SeqSBAIJ_A_Private(row,col,value,addv,im[i],in[j]);
184           /* ierr = MatSetValues_SeqBAIJ(baij->A,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
185         } else if (in[j] < 0) continue;
186 #if defined(PETSC_USE_DEBUG)
187         else if (in[j] >= mat->cmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[j],mat->cmap->N-1);
188 #endif
189         else {  /* off-diag entry (B) */
190           if (mat->was_assembled) {
191             if (!baij->colmap) {
192               ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
193             }
194 #if defined(PETSC_USE_CTABLE)
195             ierr = PetscTableFind(baij->colmap,in[j]/bs + 1,&col);CHKERRQ(ierr);
196             col  = col - 1;
197 #else
198             col = baij->colmap[in[j]/bs] - 1;
199 #endif
200             if (col < 0 && !((Mat_SeqSBAIJ*)(baij->A->data))->nonew) {
201               ierr = MatDisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
202               col  =  in[j];
203               /* Reinitialize the variables required by MatSetValues_SeqBAIJ_B_Private() */
204               B    = baij->B;
205               b    = (Mat_SeqBAIJ*)(B)->data;
206               bimax= b->imax;bi=b->i;bilen=b->ilen;bj=b->j;
207               ba   = b->a;
208             } else col += in[j]%bs;
209           } else col = in[j];
210           if (roworiented) value = v[i*n+j];
211           else             value = v[i+j*m];
212           MatSetValues_SeqSBAIJ_B_Private(row,col,value,addv,im[i],in[j]);
213           /* ierr = MatSetValues_SeqBAIJ(baij->B,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
214         }
215       }
216     } else {  /* off processor entry */
217       if (mat->nooffprocentries) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Setting off process row %D even though MatSetOption(,MAT_NO_OFF_PROC_ENTRIES,PETSC_TRUE) was set",im[i]);
218       if (!baij->donotstash) {
219         mat->assembled = PETSC_FALSE;
220         n_loc          = 0;
221         for (j=0; j<n; j++) {
222           if (im[i]/bs > in[j]/bs) continue; /* ignore lower triangular blocks */
223           in_loc[n_loc] = in[j];
224           if (roworiented) {
225             v_loc[n_loc] = v[i*n+j];
226           } else {
227             v_loc[n_loc] = v[j*m+i];
228           }
229           n_loc++;
230         }
231         ierr = MatStashValuesRow_Private(&mat->stash,im[i],n_loc,in_loc,v_loc,PETSC_FALSE);CHKERRQ(ierr);
232       }
233     }
234   }
235   PetscFunctionReturn(0);
236 }
237 
238 #undef __FUNCT__
239 #define __FUNCT__ "MatSetValuesBlocked_SeqSBAIJ_Inlined"
240 PETSC_STATIC_INLINE PetscErrorCode MatSetValuesBlocked_SeqSBAIJ_Inlined(Mat A,PetscInt row,PetscInt col,const PetscScalar v[],InsertMode is,PetscInt orow,PetscInt ocol)
241 {
242   Mat_SeqSBAIJ      *a = (Mat_SeqSBAIJ*)A->data;
243   PetscErrorCode    ierr;
244   PetscInt          *rp,low,high,t,ii,jj,nrow,i,rmax,N;
245   PetscInt          *imax      =a->imax,*ai=a->i,*ailen=a->ilen;
246   PetscInt          *aj        =a->j,nonew=a->nonew,bs2=a->bs2,bs=A->rmap->bs;
247   PetscBool         roworiented=a->roworiented;
248   const PetscScalar *value     = v;
249   MatScalar         *ap,*aa = a->a,*bap;
250 
251   PetscFunctionBegin;
252   if (col < row) {
253     if (a->ignore_ltriangular) PetscFunctionReturn(0); /* ignore lower triangular block */
254     else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"Lower triangular value cannot be set for sbaij format. Ignoring these values, run with -mat_ignore_lower_triangular or call MatSetOption(mat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE)");
255   }
256   rp   = aj + ai[row];
257   ap   = aa + bs2*ai[row];
258   rmax = imax[row];
259   nrow = ailen[row];
260   value = v;
261   low   = 0;
262   high  = nrow;
263 
264   while (high-low > 7) {
265     t = (low+high)/2;
266     if (rp[t] > col) high = t;
267     else             low  = t;
268   }
269   for (i=low; i<high; i++) {
270     if (rp[i] > col) break;
271     if (rp[i] == col) {
272       bap = ap +  bs2*i;
273       if (roworiented) {
274         if (is == ADD_VALUES) {
275           for (ii=0; ii<bs; ii++) {
276             for (jj=ii; jj<bs2; jj+=bs) {
277               bap[jj] += *value++;
278             }
279           }
280         } else {
281           for (ii=0; ii<bs; ii++) {
282             for (jj=ii; jj<bs2; jj+=bs) {
283               bap[jj] = *value++;
284             }
285           }
286         }
287       } else {
288         if (is == ADD_VALUES) {
289           for (ii=0; ii<bs; ii++) {
290             for (jj=0; jj<bs; jj++) {
291               *bap++ += *value++;
292             }
293           }
294         } else {
295           for (ii=0; ii<bs; ii++) {
296             for (jj=0; jj<bs; jj++) {
297               *bap++  = *value++;
298             }
299           }
300         }
301       }
302       goto noinsert2;
303     }
304   }
305   if (nonew == 1) goto noinsert2;
306   if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new block index nonzero block (%D, %D) in the matrix", orow, ocol);
307   MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
308   N = nrow++ - 1; high++;
309   /* shift up all the later entries in this row */
310   for (ii=N; ii>=i; ii--) {
311     rp[ii+1] = rp[ii];
312     ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
313   }
314   if (N >= i) {
315     ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
316   }
317   rp[i] = col;
318   bap   = ap +  bs2*i;
319   if (roworiented) {
320     for (ii=0; ii<bs; ii++) {
321       for (jj=ii; jj<bs2; jj+=bs) {
322         bap[jj] = *value++;
323       }
324     }
325   } else {
326     for (ii=0; ii<bs; ii++) {
327       for (jj=0; jj<bs; jj++) {
328         *bap++ = *value++;
329       }
330     }
331   }
332   noinsert2:;
333   ailen[row] = nrow;
334   PetscFunctionReturn(0);
335 }
336 
337 #undef __FUNCT__
338 #define __FUNCT__ "MatSetValuesBlocked_SeqBAIJ_Inlined"
339 /*
340    This routine is exactly duplicated in mpibaij.c
341 */
342 PETSC_STATIC_INLINE PetscErrorCode MatSetValuesBlocked_SeqBAIJ_Inlined(Mat A,PetscInt row,PetscInt col,const PetscScalar v[],InsertMode is,PetscInt orow,PetscInt ocol)
343 {
344   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
345   PetscInt          *rp,low,high,t,ii,jj,nrow,i,rmax,N;
346   PetscInt          *imax=a->imax,*ai=a->i,*ailen=a->ilen;
347   PetscErrorCode    ierr;
348   PetscInt          *aj        =a->j,nonew=a->nonew,bs2=a->bs2,bs=A->rmap->bs;
349   PetscBool         roworiented=a->roworiented;
350   const PetscScalar *value     = v;
351   MatScalar         *ap,*aa = a->a,*bap;
352 
353   PetscFunctionBegin;
354   rp   = aj + ai[row];
355   ap   = aa + bs2*ai[row];
356   rmax = imax[row];
357   nrow = ailen[row];
358   low  = 0;
359   high = nrow;
360   value = v;
361   while (high-low > 7) {
362     t = (low+high)/2;
363     if (rp[t] > col) high = t;
364     else             low  = t;
365   }
366   for (i=low; i<high; i++) {
367     if (rp[i] > col) break;
368     if (rp[i] == col) {
369       bap = ap +  bs2*i;
370       if (roworiented) {
371         if (is == ADD_VALUES) {
372           for (ii=0; ii<bs; ii++) {
373             for (jj=ii; jj<bs2; jj+=bs) {
374               bap[jj] += *value++;
375             }
376           }
377         } else {
378           for (ii=0; ii<bs; ii++) {
379             for (jj=ii; jj<bs2; jj+=bs) {
380               bap[jj] = *value++;
381             }
382           }
383         }
384       } else {
385         if (is == ADD_VALUES) {
386           for (ii=0; ii<bs; ii++,value+=bs) {
387             for (jj=0; jj<bs; jj++) {
388               bap[jj] += value[jj];
389             }
390             bap += bs;
391           }
392         } else {
393           for (ii=0; ii<bs; ii++,value+=bs) {
394             for (jj=0; jj<bs; jj++) {
395               bap[jj]  = value[jj];
396             }
397             bap += bs;
398           }
399         }
400       }
401       goto noinsert2;
402     }
403   }
404   if (nonew == 1) goto noinsert2;
405   if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new global block indexed nonzero block (%D, %D) in the matrix", orow, ocol);
406   MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
407   N = nrow++ - 1; high++;
408   /* shift up all the later entries in this row */
409   for (ii=N; ii>=i; ii--) {
410     rp[ii+1] = rp[ii];
411     ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
412   }
413   if (N >= i) {
414     ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
415   }
416   rp[i] = col;
417   bap   = ap +  bs2*i;
418   if (roworiented) {
419     for (ii=0; ii<bs; ii++) {
420       for (jj=ii; jj<bs2; jj+=bs) {
421         bap[jj] = *value++;
422       }
423     }
424   } else {
425     for (ii=0; ii<bs; ii++) {
426       for (jj=0; jj<bs; jj++) {
427         *bap++ = *value++;
428       }
429     }
430   }
431   noinsert2:;
432   ailen[row] = nrow;
433   PetscFunctionReturn(0);
434 }
435 
436 #undef __FUNCT__
437 #define __FUNCT__ "MatSetValuesBlocked_MPISBAIJ"
438 /*
439     This routine could be optimized by removing the need for the block copy below and passing stride information
440   to the above inline routines; similarly in MatSetValuesBlocked_MPIBAIJ()
441 */
442 PetscErrorCode MatSetValuesBlocked_MPISBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const MatScalar v[],InsertMode addv)
443 {
444   Mat_MPISBAIJ    *baij = (Mat_MPISBAIJ*)mat->data;
445   const MatScalar *value;
446   MatScalar       *barray     =baij->barray;
447   PetscBool       roworiented = baij->roworiented,ignore_ltriangular = ((Mat_SeqSBAIJ*)baij->A->data)->ignore_ltriangular;
448   PetscErrorCode  ierr;
449   PetscInt        i,j,ii,jj,row,col,rstart=baij->rstartbs;
450   PetscInt        rend=baij->rendbs,cstart=baij->rstartbs,stepval;
451   PetscInt        cend=baij->rendbs,bs=mat->rmap->bs,bs2=baij->bs2;
452 
453   PetscFunctionBegin;
454   if (!barray) {
455     ierr         = PetscMalloc1(bs2,&barray);CHKERRQ(ierr);
456     baij->barray = barray;
457   }
458 
459   if (roworiented) {
460     stepval = (n-1)*bs;
461   } else {
462     stepval = (m-1)*bs;
463   }
464   for (i=0; i<m; i++) {
465     if (im[i] < 0) continue;
466 #if defined(PETSC_USE_DEBUG)
467     if (im[i] >= baij->Mbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Block indexed row too large %D max %D",im[i],baij->Mbs-1);
468 #endif
469     if (im[i] >= rstart && im[i] < rend) {
470       row = im[i] - rstart;
471       for (j=0; j<n; j++) {
472         if (im[i] > in[j]) {
473           if (ignore_ltriangular) continue; /* ignore lower triangular blocks */
474           else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"Lower triangular value cannot be set for sbaij format. Ignoring these values, run with -mat_ignore_lower_triangular or call MatSetOption(mat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE)");
475         }
476         /* If NumCol = 1 then a copy is not required */
477         if ((roworiented) && (n == 1)) {
478           barray = (MatScalar*) v + i*bs2;
479         } else if ((!roworiented) && (m == 1)) {
480           barray = (MatScalar*) v + j*bs2;
481         } else { /* Here a copy is required */
482           if (roworiented) {
483             value = v + i*(stepval+bs)*bs + j*bs;
484           } else {
485             value = v + j*(stepval+bs)*bs + i*bs;
486           }
487           for (ii=0; ii<bs; ii++,value+=stepval) {
488             for (jj=0; jj<bs; jj++) {
489               *barray++ = *value++;
490             }
491           }
492           barray -=bs2;
493         }
494 
495         if (in[j] >= cstart && in[j] < cend) {
496           col  = in[j] - cstart;
497           ierr = MatSetValuesBlocked_SeqSBAIJ_Inlined(baij->A,row,col,barray,addv,im[i],in[j]);CHKERRQ(ierr);
498         } else if (in[j] < 0) continue;
499 #if defined(PETSC_USE_DEBUG)
500         else if (in[j] >= baij->Nbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Block indexed column too large %D max %D",in[j],baij->Nbs-1);
501 #endif
502         else {
503           if (mat->was_assembled) {
504             if (!baij->colmap) {
505               ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
506             }
507 
508 #if defined(PETSC_USE_DEBUG)
509 #if defined(PETSC_USE_CTABLE)
510             { PetscInt data;
511               ierr = PetscTableFind(baij->colmap,in[j]+1,&data);CHKERRQ(ierr);
512               if ((data - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
513             }
514 #else
515             if ((baij->colmap[in[j]] - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
516 #endif
517 #endif
518 #if defined(PETSC_USE_CTABLE)
519             ierr = PetscTableFind(baij->colmap,in[j]+1,&col);CHKERRQ(ierr);
520             col  = (col - 1)/bs;
521 #else
522             col = (baij->colmap[in[j]] - 1)/bs;
523 #endif
524             if (col < 0 && !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
525               ierr = MatDisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
526               col  = in[j];
527             }
528           } else col = in[j];
529           ierr = MatSetValuesBlocked_SeqBAIJ_Inlined(baij->B,row,col,barray,addv,im[i],in[j]);CHKERRQ(ierr);
530         }
531       }
532     } else {
533       if (mat->nooffprocentries) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Setting off process block indexed row %D even though MatSetOption(,MAT_NO_OFF_PROC_ENTRIES,PETSC_TRUE) was set",im[i]);
534       if (!baij->donotstash) {
535         if (roworiented) {
536           ierr = MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
537         } else {
538           ierr = MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
539         }
540       }
541     }
542   }
543   PetscFunctionReturn(0);
544 }
545 
546 #undef __FUNCT__
547 #define __FUNCT__ "MatGetValues_MPISBAIJ"
548 PetscErrorCode MatGetValues_MPISBAIJ(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],PetscScalar v[])
549 {
550   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
551   PetscErrorCode ierr;
552   PetscInt       bs       = mat->rmap->bs,i,j,bsrstart = mat->rmap->rstart,bsrend = mat->rmap->rend;
553   PetscInt       bscstart = mat->cmap->rstart,bscend = mat->cmap->rend,row,col,data;
554 
555   PetscFunctionBegin;
556   for (i=0; i<m; i++) {
557     if (idxm[i] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",idxm[i]); */
558     if (idxm[i] >= mat->rmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",idxm[i],mat->rmap->N-1);
559     if (idxm[i] >= bsrstart && idxm[i] < bsrend) {
560       row = idxm[i] - bsrstart;
561       for (j=0; j<n; j++) {
562         if (idxn[j] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column %D",idxn[j]); */
563         if (idxn[j] >= mat->cmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",idxn[j],mat->cmap->N-1);
564         if (idxn[j] >= bscstart && idxn[j] < bscend) {
565           col  = idxn[j] - bscstart;
566           ierr = MatGetValues_SeqSBAIJ(baij->A,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
567         } else {
568           if (!baij->colmap) {
569             ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
570           }
571 #if defined(PETSC_USE_CTABLE)
572           ierr = PetscTableFind(baij->colmap,idxn[j]/bs+1,&data);CHKERRQ(ierr);
573           data--;
574 #else
575           data = baij->colmap[idxn[j]/bs]-1;
576 #endif
577           if ((data < 0) || (baij->garray[data/bs] != idxn[j]/bs)) *(v+i*n+j) = 0.0;
578           else {
579             col  = data + idxn[j]%bs;
580             ierr = MatGetValues_SeqBAIJ(baij->B,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
581           }
582         }
583       }
584     } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local values currently supported");
585   }
586   PetscFunctionReturn(0);
587 }
588 
589 #undef __FUNCT__
590 #define __FUNCT__ "MatNorm_MPISBAIJ"
591 PetscErrorCode MatNorm_MPISBAIJ(Mat mat,NormType type,PetscReal *norm)
592 {
593   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
594   PetscErrorCode ierr;
595   PetscReal      sum[2],*lnorm2;
596 
597   PetscFunctionBegin;
598   if (baij->size == 1) {
599     ierr =  MatNorm(baij->A,type,norm);CHKERRQ(ierr);
600   } else {
601     if (type == NORM_FROBENIUS) {
602       ierr    = PetscMalloc1(2,&lnorm2);CHKERRQ(ierr);
603       ierr    =  MatNorm(baij->A,type,lnorm2);CHKERRQ(ierr);
604       *lnorm2 = (*lnorm2)*(*lnorm2); lnorm2++;            /* squar power of norm(A) */
605       ierr    =  MatNorm(baij->B,type,lnorm2);CHKERRQ(ierr);
606       *lnorm2 = (*lnorm2)*(*lnorm2); lnorm2--;             /* squar power of norm(B) */
607       ierr    = MPI_Allreduce(lnorm2,sum,2,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
608       *norm   = PetscSqrtReal(sum[0] + 2*sum[1]);
609       ierr    = PetscFree(lnorm2);CHKERRQ(ierr);
610     } else if (type == NORM_INFINITY || type == NORM_1) { /* max row/column sum */
611       Mat_SeqSBAIJ *amat=(Mat_SeqSBAIJ*)baij->A->data;
612       Mat_SeqBAIJ  *bmat=(Mat_SeqBAIJ*)baij->B->data;
613       PetscReal    *rsum,*rsum2,vabs;
614       PetscInt     *jj,*garray=baij->garray,rstart=baij->rstartbs,nz;
615       PetscInt     brow,bcol,col,bs=baij->A->rmap->bs,row,grow,gcol,mbs=amat->mbs;
616       MatScalar    *v;
617 
618       ierr = PetscMalloc2(mat->cmap->N,&rsum,mat->cmap->N,&rsum2);CHKERRQ(ierr);
619       ierr = PetscMemzero(rsum,mat->cmap->N*sizeof(PetscReal));CHKERRQ(ierr);
620       /* Amat */
621       v = amat->a; jj = amat->j;
622       for (brow=0; brow<mbs; brow++) {
623         grow = bs*(rstart + brow);
624         nz   = amat->i[brow+1] - amat->i[brow];
625         for (bcol=0; bcol<nz; bcol++) {
626           gcol = bs*(rstart + *jj); jj++;
627           for (col=0; col<bs; col++) {
628             for (row=0; row<bs; row++) {
629               vabs            = PetscAbsScalar(*v); v++;
630               rsum[gcol+col] += vabs;
631               /* non-diagonal block */
632               if (bcol > 0 && vabs > 0.0) rsum[grow+row] += vabs;
633             }
634           }
635         }
636       }
637       /* Bmat */
638       v = bmat->a; jj = bmat->j;
639       for (brow=0; brow<mbs; brow++) {
640         grow = bs*(rstart + brow);
641         nz = bmat->i[brow+1] - bmat->i[brow];
642         for (bcol=0; bcol<nz; bcol++) {
643           gcol = bs*garray[*jj]; jj++;
644           for (col=0; col<bs; col++) {
645             for (row=0; row<bs; row++) {
646               vabs            = PetscAbsScalar(*v); v++;
647               rsum[gcol+col] += vabs;
648               rsum[grow+row] += vabs;
649             }
650           }
651         }
652       }
653       ierr  = MPI_Allreduce(rsum,rsum2,mat->cmap->N,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
654       *norm = 0.0;
655       for (col=0; col<mat->cmap->N; col++) {
656         if (rsum2[col] > *norm) *norm = rsum2[col];
657       }
658       ierr = PetscFree2(rsum,rsum2);CHKERRQ(ierr);
659     } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for this norm yet");
660   }
661   PetscFunctionReturn(0);
662 }
663 
664 #undef __FUNCT__
665 #define __FUNCT__ "MatAssemblyBegin_MPISBAIJ"
666 PetscErrorCode MatAssemblyBegin_MPISBAIJ(Mat mat,MatAssemblyType mode)
667 {
668   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
669   PetscErrorCode ierr;
670   PetscInt       nstash,reallocs;
671   InsertMode     addv;
672 
673   PetscFunctionBegin;
674   if (baij->donotstash || mat->nooffprocentries) PetscFunctionReturn(0);
675 
676   /* make sure all processors are either in INSERTMODE or ADDMODE */
677   ierr = MPI_Allreduce((PetscEnum*)&mat->insertmode,(PetscEnum*)&addv,1,MPIU_ENUM,MPI_BOR,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
678   if (addv == (ADD_VALUES|INSERT_VALUES)) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Some processors inserted others added");
679   mat->insertmode = addv; /* in case this processor had no cache */
680 
681   ierr = MatStashScatterBegin_Private(mat,&mat->stash,mat->rmap->range);CHKERRQ(ierr);
682   ierr = MatStashScatterBegin_Private(mat,&mat->bstash,baij->rangebs);CHKERRQ(ierr);
683   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
684   ierr = PetscInfo2(mat,"Stash has %D entries,uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
685   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
686   ierr = PetscInfo2(mat,"Block-Stash has %D entries, uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
687   PetscFunctionReturn(0);
688 }
689 
690 #undef __FUNCT__
691 #define __FUNCT__ "MatAssemblyEnd_MPISBAIJ"
692 PetscErrorCode MatAssemblyEnd_MPISBAIJ(Mat mat,MatAssemblyType mode)
693 {
694   Mat_MPISBAIJ   *baij=(Mat_MPISBAIJ*)mat->data;
695   Mat_SeqSBAIJ   *a   =(Mat_SeqSBAIJ*)baij->A->data;
696   PetscErrorCode ierr;
697   PetscInt       i,j,rstart,ncols,flg,bs2=baij->bs2;
698   PetscInt       *row,*col;
699   PetscBool      other_disassembled;
700   PetscMPIInt    n;
701   PetscBool      r1,r2,r3;
702   MatScalar      *val;
703   InsertMode     addv = mat->insertmode;
704 
705   /* do not use 'b=(Mat_SeqBAIJ*)baij->B->data' as B can be reset in disassembly */
706   PetscFunctionBegin;
707   if (!baij->donotstash &&  !mat->nooffprocentries) {
708     while (1) {
709       ierr = MatStashScatterGetMesg_Private(&mat->stash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
710       if (!flg) break;
711 
712       for (i=0; i<n;) {
713         /* Now identify the consecutive vals belonging to the same row */
714         for (j=i,rstart=row[j]; j<n; j++) {
715           if (row[j] != rstart) break;
716         }
717         if (j < n) ncols = j-i;
718         else       ncols = n-i;
719         /* Now assemble all these values with a single function call */
720         ierr = MatSetValues_MPISBAIJ(mat,1,row+i,ncols,col+i,val+i,addv);CHKERRQ(ierr);
721         i    = j;
722       }
723     }
724     ierr = MatStashScatterEnd_Private(&mat->stash);CHKERRQ(ierr);
725     /* Now process the block-stash. Since the values are stashed column-oriented,
726        set the roworiented flag to column oriented, and after MatSetValues()
727        restore the original flags */
728     r1 = baij->roworiented;
729     r2 = a->roworiented;
730     r3 = ((Mat_SeqBAIJ*)baij->B->data)->roworiented;
731 
732     baij->roworiented = PETSC_FALSE;
733     a->roworiented    = PETSC_FALSE;
734 
735     ((Mat_SeqBAIJ*)baij->B->data)->roworiented = PETSC_FALSE; /* b->roworinted */
736     while (1) {
737       ierr = MatStashScatterGetMesg_Private(&mat->bstash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
738       if (!flg) break;
739 
740       for (i=0; i<n;) {
741         /* Now identify the consecutive vals belonging to the same row */
742         for (j=i,rstart=row[j]; j<n; j++) {
743           if (row[j] != rstart) break;
744         }
745         if (j < n) ncols = j-i;
746         else       ncols = n-i;
747         ierr = MatSetValuesBlocked_MPISBAIJ(mat,1,row+i,ncols,col+i,val+i*bs2,addv);CHKERRQ(ierr);
748         i    = j;
749       }
750     }
751     ierr = MatStashScatterEnd_Private(&mat->bstash);CHKERRQ(ierr);
752 
753     baij->roworiented = r1;
754     a->roworiented    = r2;
755 
756     ((Mat_SeqBAIJ*)baij->B->data)->roworiented = r3; /* b->roworinted */
757   }
758 
759   ierr = MatAssemblyBegin(baij->A,mode);CHKERRQ(ierr);
760   ierr = MatAssemblyEnd(baij->A,mode);CHKERRQ(ierr);
761 
762   /* determine if any processor has disassembled, if so we must
763      also disassemble ourselfs, in order that we may reassemble. */
764   /*
765      if nonzero structure of submatrix B cannot change then we know that
766      no processor disassembled thus we can skip this stuff
767   */
768   if (!((Mat_SeqBAIJ*)baij->B->data)->nonew) {
769     ierr = MPI_Allreduce(&mat->was_assembled,&other_disassembled,1,MPIU_BOOL,MPI_PROD,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
770     if (mat->was_assembled && !other_disassembled) {
771       ierr = MatDisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
772     }
773   }
774 
775   if (!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) {
776     ierr = MatSetUpMultiply_MPISBAIJ(mat);CHKERRQ(ierr); /* setup Mvctx and sMvctx */
777   }
778   ierr = MatAssemblyBegin(baij->B,mode);CHKERRQ(ierr);
779   ierr = MatAssemblyEnd(baij->B,mode);CHKERRQ(ierr);
780 
781   ierr = PetscFree2(baij->rowvalues,baij->rowindices);CHKERRQ(ierr);
782 
783   baij->rowvalues = 0;
784 
785   /* if no new nonzero locations are allowed in matrix then only set the matrix state the first time through */
786   if ((!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) || !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
787     PetscObjectState state = baij->A->nonzerostate + baij->B->nonzerostate;
788     ierr = MPI_Allreduce(&state,&mat->nonzerostate,1,MPIU_INT64,MPI_SUM,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
789   }
790   PetscFunctionReturn(0);
791 }
792 
793 extern PetscErrorCode MatView_SeqSBAIJ_ASCII(Mat,PetscViewer);
794 extern PetscErrorCode MatSetValues_MPIBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
795 #include <petscdraw.h>
796 #undef __FUNCT__
797 #define __FUNCT__ "MatView_MPISBAIJ_ASCIIorDraworSocket"
798 static PetscErrorCode MatView_MPISBAIJ_ASCIIorDraworSocket(Mat mat,PetscViewer viewer)
799 {
800   Mat_MPISBAIJ      *baij = (Mat_MPISBAIJ*)mat->data;
801   PetscErrorCode    ierr;
802   PetscInt          bs   = mat->rmap->bs;
803   PetscMPIInt       rank = baij->rank;
804   PetscBool         iascii,isdraw;
805   PetscViewer       sviewer;
806   PetscViewerFormat format;
807 
808   PetscFunctionBegin;
809   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
810   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
811   if (iascii) {
812     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
813     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
814       MatInfo info;
815       ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)mat),&rank);CHKERRQ(ierr);
816       ierr = MatGetInfo(mat,MAT_LOCAL,&info);CHKERRQ(ierr);
817       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_TRUE);CHKERRQ(ierr);
818       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] Local rows %D nz %D nz alloced %D bs %D mem %D\n",rank,mat->rmap->n,(PetscInt)info.nz_used,(PetscInt)info.nz_allocated,mat->rmap->bs,(PetscInt)info.memory);CHKERRQ(ierr);
819       ierr = MatGetInfo(baij->A,MAT_LOCAL,&info);CHKERRQ(ierr);
820       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] on-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
821       ierr = MatGetInfo(baij->B,MAT_LOCAL,&info);CHKERRQ(ierr);
822       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] off-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
823       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
824       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_FALSE);CHKERRQ(ierr);
825       ierr = PetscViewerASCIIPrintf(viewer,"Information on VecScatter used in matrix-vector product: \n");CHKERRQ(ierr);
826       ierr = VecScatterView(baij->Mvctx,viewer);CHKERRQ(ierr);
827       PetscFunctionReturn(0);
828     } else if (format == PETSC_VIEWER_ASCII_INFO) {
829       ierr = PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);CHKERRQ(ierr);
830       PetscFunctionReturn(0);
831     } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
832       PetscFunctionReturn(0);
833     }
834   }
835 
836   if (isdraw) {
837     PetscDraw draw;
838     PetscBool isnull;
839     ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
840     ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
841   }
842 
843   {
844     /* assemble the entire matrix onto first processor. */
845     Mat          A;
846     Mat_SeqSBAIJ *Aloc;
847     Mat_SeqBAIJ  *Bloc;
848     PetscInt     M = mat->rmap->N,N = mat->cmap->N,*ai,*aj,col,i,j,k,*rvals,mbs = baij->mbs;
849     MatScalar    *a;
850     const char   *matname;
851 
852     /* Should this be the same type as mat? */
853     ierr = MatCreate(PetscObjectComm((PetscObject)mat),&A);CHKERRQ(ierr);
854     if (!rank) {
855       ierr = MatSetSizes(A,M,N,M,N);CHKERRQ(ierr);
856     } else {
857       ierr = MatSetSizes(A,0,0,M,N);CHKERRQ(ierr);
858     }
859     ierr = MatSetType(A,MATMPISBAIJ);CHKERRQ(ierr);
860     ierr = MatMPISBAIJSetPreallocation(A,mat->rmap->bs,0,NULL,0,NULL);CHKERRQ(ierr);
861     ierr = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);
862     ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)A);CHKERRQ(ierr);
863 
864     /* copy over the A part */
865     Aloc = (Mat_SeqSBAIJ*)baij->A->data;
866     ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
867     ierr = PetscMalloc1(bs,&rvals);CHKERRQ(ierr);
868 
869     for (i=0; i<mbs; i++) {
870       rvals[0] = bs*(baij->rstartbs + i);
871       for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
872       for (j=ai[i]; j<ai[i+1]; j++) {
873         col = (baij->cstartbs+aj[j])*bs;
874         for (k=0; k<bs; k++) {
875           ierr = MatSetValues_MPISBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
876           col++;
877           a += bs;
878         }
879       }
880     }
881     /* copy over the B part */
882     Bloc = (Mat_SeqBAIJ*)baij->B->data;
883     ai   = Bloc->i; aj = Bloc->j; a = Bloc->a;
884     for (i=0; i<mbs; i++) {
885 
886       rvals[0] = bs*(baij->rstartbs + i);
887       for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
888       for (j=ai[i]; j<ai[i+1]; j++) {
889         col = baij->garray[aj[j]]*bs;
890         for (k=0; k<bs; k++) {
891           ierr = MatSetValues_MPIBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
892           col++;
893           a += bs;
894         }
895       }
896     }
897     ierr = PetscFree(rvals);CHKERRQ(ierr);
898     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
899     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
900     /*
901        Everyone has to call to draw the matrix since the graphics waits are
902        synchronized across all processors that share the PetscDraw object
903     */
904     ierr = PetscViewerGetSingleton(viewer,&sviewer);CHKERRQ(ierr);
905     ierr = PetscObjectGetName((PetscObject)mat,&matname);CHKERRQ(ierr);
906     if (!rank) {
907       ierr = PetscObjectSetName((PetscObject)((Mat_MPISBAIJ*)(A->data))->A,matname);CHKERRQ(ierr);
908       ierr = MatView_SeqSBAIJ_ASCII(((Mat_MPISBAIJ*)(A->data))->A,sviewer);CHKERRQ(ierr);
909     }
910     ierr = PetscViewerRestoreSingleton(viewer,&sviewer);CHKERRQ(ierr);
911     ierr = MatDestroy(&A);CHKERRQ(ierr);
912   }
913   PetscFunctionReturn(0);
914 }
915 
916 #undef __FUNCT__
917 #define __FUNCT__ "MatView_MPISBAIJ"
918 PetscErrorCode MatView_MPISBAIJ(Mat mat,PetscViewer viewer)
919 {
920   PetscErrorCode ierr;
921   PetscBool      iascii,isdraw,issocket,isbinary;
922 
923   PetscFunctionBegin;
924   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
925   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
926   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSOCKET,&issocket);CHKERRQ(ierr);
927   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
928   if (iascii || isdraw || issocket || isbinary) {
929     ierr = MatView_MPISBAIJ_ASCIIorDraworSocket(mat,viewer);CHKERRQ(ierr);
930   }
931   PetscFunctionReturn(0);
932 }
933 
934 #undef __FUNCT__
935 #define __FUNCT__ "MatDestroy_MPISBAIJ"
936 PetscErrorCode MatDestroy_MPISBAIJ(Mat mat)
937 {
938   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
939   PetscErrorCode ierr;
940 
941   PetscFunctionBegin;
942 #if defined(PETSC_USE_LOG)
943   PetscLogObjectState((PetscObject)mat,"Rows=%D,Cols=%D",mat->rmap->N,mat->cmap->N);
944 #endif
945   ierr = MatStashDestroy_Private(&mat->stash);CHKERRQ(ierr);
946   ierr = MatStashDestroy_Private(&mat->bstash);CHKERRQ(ierr);
947   ierr = MatDestroy(&baij->A);CHKERRQ(ierr);
948   ierr = MatDestroy(&baij->B);CHKERRQ(ierr);
949 #if defined(PETSC_USE_CTABLE)
950   ierr = PetscTableDestroy(&baij->colmap);CHKERRQ(ierr);
951 #else
952   ierr = PetscFree(baij->colmap);CHKERRQ(ierr);
953 #endif
954   ierr = PetscFree(baij->garray);CHKERRQ(ierr);
955   ierr = VecDestroy(&baij->lvec);CHKERRQ(ierr);
956   ierr = VecScatterDestroy(&baij->Mvctx);CHKERRQ(ierr);
957   ierr = VecDestroy(&baij->slvec0);CHKERRQ(ierr);
958   ierr = VecDestroy(&baij->slvec0b);CHKERRQ(ierr);
959   ierr = VecDestroy(&baij->slvec1);CHKERRQ(ierr);
960   ierr = VecDestroy(&baij->slvec1a);CHKERRQ(ierr);
961   ierr = VecDestroy(&baij->slvec1b);CHKERRQ(ierr);
962   ierr = VecScatterDestroy(&baij->sMvctx);CHKERRQ(ierr);
963   ierr = PetscFree2(baij->rowvalues,baij->rowindices);CHKERRQ(ierr);
964   ierr = PetscFree(baij->barray);CHKERRQ(ierr);
965   ierr = PetscFree(baij->hd);CHKERRQ(ierr);
966   ierr = VecDestroy(&baij->diag);CHKERRQ(ierr);
967   ierr = VecDestroy(&baij->bb1);CHKERRQ(ierr);
968   ierr = VecDestroy(&baij->xx1);CHKERRQ(ierr);
969 #if defined(PETSC_USE_REAL_MAT_SINGLE)
970   ierr = PetscFree(baij->setvaluescopy);CHKERRQ(ierr);
971 #endif
972   ierr = PetscFree(baij->in_loc);CHKERRQ(ierr);
973   ierr = PetscFree(baij->v_loc);CHKERRQ(ierr);
974   ierr = PetscFree(baij->rangebs);CHKERRQ(ierr);
975   ierr = PetscFree(mat->data);CHKERRQ(ierr);
976 
977   ierr = PetscObjectChangeTypeName((PetscObject)mat,0);CHKERRQ(ierr);
978   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatStoreValues_C",NULL);CHKERRQ(ierr);
979   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatRetrieveValues_C",NULL);CHKERRQ(ierr);
980   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatGetDiagonalBlock_C",NULL);CHKERRQ(ierr);
981   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatMPISBAIJSetPreallocation_C",NULL);CHKERRQ(ierr);
982   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpisbaij_mpisbstrm_C",NULL);CHKERRQ(ierr);
983 #if defined(PETSC_HAVE_ELEMENTAL)
984   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpisbaij_elemental_C",NULL);CHKERRQ(ierr);
985 #endif
986   PetscFunctionReturn(0);
987 }
988 
989 #undef __FUNCT__
990 #define __FUNCT__ "MatMult_MPISBAIJ_Hermitian"
991 PetscErrorCode MatMult_MPISBAIJ_Hermitian(Mat A,Vec xx,Vec yy)
992 {
993   Mat_MPISBAIJ      *a = (Mat_MPISBAIJ*)A->data;
994   PetscErrorCode    ierr;
995   PetscInt          nt,mbs=a->mbs,bs=A->rmap->bs;
996   PetscScalar       *from;
997   const PetscScalar *x;
998 
999   PetscFunctionBegin;
1000   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
1001   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
1002 
1003   /* diagonal part */
1004   ierr = (*a->A->ops->mult)(a->A,xx,a->slvec1a);CHKERRQ(ierr);
1005   ierr = VecSet(a->slvec1b,0.0);CHKERRQ(ierr);
1006 
1007   /* subdiagonal part */
1008   ierr = (*a->B->ops->multhermitiantranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
1009 
1010   /* copy x into the vec slvec0 */
1011   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
1012   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1013 
1014   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
1015   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
1016   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1017 
1018   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1019   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1020   /* supperdiagonal part */
1021   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,yy);CHKERRQ(ierr);
1022   PetscFunctionReturn(0);
1023 }
1024 
1025 #undef __FUNCT__
1026 #define __FUNCT__ "MatMult_MPISBAIJ"
1027 PetscErrorCode MatMult_MPISBAIJ(Mat A,Vec xx,Vec yy)
1028 {
1029   Mat_MPISBAIJ      *a = (Mat_MPISBAIJ*)A->data;
1030   PetscErrorCode    ierr;
1031   PetscInt          nt,mbs=a->mbs,bs=A->rmap->bs;
1032   PetscScalar       *from;
1033   const PetscScalar *x;
1034 
1035   PetscFunctionBegin;
1036   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
1037   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
1038 
1039   /* diagonal part */
1040   ierr = (*a->A->ops->mult)(a->A,xx,a->slvec1a);CHKERRQ(ierr);
1041   ierr = VecSet(a->slvec1b,0.0);CHKERRQ(ierr);
1042 
1043   /* subdiagonal part */
1044   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
1045 
1046   /* copy x into the vec slvec0 */
1047   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
1048   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1049 
1050   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
1051   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
1052   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1053 
1054   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1055   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1056   /* supperdiagonal part */
1057   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,yy);CHKERRQ(ierr);
1058   PetscFunctionReturn(0);
1059 }
1060 
1061 #undef __FUNCT__
1062 #define __FUNCT__ "MatMult_MPISBAIJ_2comm"
1063 PetscErrorCode MatMult_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy)
1064 {
1065   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1066   PetscErrorCode ierr;
1067   PetscInt       nt;
1068 
1069   PetscFunctionBegin;
1070   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
1071   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
1072 
1073   ierr = VecGetLocalSize(yy,&nt);CHKERRQ(ierr);
1074   if (nt != A->rmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible parition of A and yy");
1075 
1076   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1077   /* do diagonal part */
1078   ierr = (*a->A->ops->mult)(a->A,xx,yy);CHKERRQ(ierr);
1079   /* do supperdiagonal part */
1080   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1081   ierr = (*a->B->ops->multadd)(a->B,a->lvec,yy,yy);CHKERRQ(ierr);
1082   /* do subdiagonal part */
1083   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1084   ierr = VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1085   ierr = VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1086   PetscFunctionReturn(0);
1087 }
1088 
1089 #undef __FUNCT__
1090 #define __FUNCT__ "MatMultAdd_MPISBAIJ"
1091 PetscErrorCode MatMultAdd_MPISBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1092 {
1093   Mat_MPISBAIJ      *a = (Mat_MPISBAIJ*)A->data;
1094   PetscErrorCode    ierr;
1095   PetscInt          mbs=a->mbs,bs=A->rmap->bs;
1096   PetscScalar       *from,zero=0.0;
1097   const PetscScalar *x;
1098 
1099   PetscFunctionBegin;
1100   /*
1101   PetscSynchronizedPrintf(PetscObjectComm((PetscObject)A)," MatMultAdd is called ...\n");
1102   PetscSynchronizedFlush(PetscObjectComm((PetscObject)A),PETSC_STDOUT);
1103   */
1104   /* diagonal part */
1105   ierr = (*a->A->ops->multadd)(a->A,xx,yy,a->slvec1a);CHKERRQ(ierr);
1106   ierr = VecSet(a->slvec1b,zero);CHKERRQ(ierr);
1107 
1108   /* subdiagonal part */
1109   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
1110 
1111   /* copy x into the vec slvec0 */
1112   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
1113   ierr = VecGetArrayRead(xx,&x);CHKERRQ(ierr);
1114   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
1115   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
1116 
1117   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1118   ierr = VecRestoreArrayRead(xx,&x);CHKERRQ(ierr);
1119   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1120 
1121   /* supperdiagonal part */
1122   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,zz);CHKERRQ(ierr);
1123   PetscFunctionReturn(0);
1124 }
1125 
1126 #undef __FUNCT__
1127 #define __FUNCT__ "MatMultAdd_MPISBAIJ_2comm"
1128 PetscErrorCode MatMultAdd_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy,Vec zz)
1129 {
1130   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1131   PetscErrorCode ierr;
1132 
1133   PetscFunctionBegin;
1134   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1135   /* do diagonal part */
1136   ierr = (*a->A->ops->multadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
1137   /* do supperdiagonal part */
1138   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1139   ierr = (*a->B->ops->multadd)(a->B,a->lvec,zz,zz);CHKERRQ(ierr);
1140 
1141   /* do subdiagonal part */
1142   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1143   ierr = VecScatterBegin(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1144   ierr = VecScatterEnd(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1145   PetscFunctionReturn(0);
1146 }
1147 
1148 /*
1149   This only works correctly for square matrices where the subblock A->A is the
1150    diagonal block
1151 */
1152 #undef __FUNCT__
1153 #define __FUNCT__ "MatGetDiagonal_MPISBAIJ"
1154 PetscErrorCode MatGetDiagonal_MPISBAIJ(Mat A,Vec v)
1155 {
1156   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1157   PetscErrorCode ierr;
1158 
1159   PetscFunctionBegin;
1160   /* if (a->rmap->N != a->cmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Supports only square matrix where A->A is diag block"); */
1161   ierr = MatGetDiagonal(a->A,v);CHKERRQ(ierr);
1162   PetscFunctionReturn(0);
1163 }
1164 
1165 #undef __FUNCT__
1166 #define __FUNCT__ "MatScale_MPISBAIJ"
1167 PetscErrorCode MatScale_MPISBAIJ(Mat A,PetscScalar aa)
1168 {
1169   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1170   PetscErrorCode ierr;
1171 
1172   PetscFunctionBegin;
1173   ierr = MatScale(a->A,aa);CHKERRQ(ierr);
1174   ierr = MatScale(a->B,aa);CHKERRQ(ierr);
1175   PetscFunctionReturn(0);
1176 }
1177 
1178 #undef __FUNCT__
1179 #define __FUNCT__ "MatGetRow_MPISBAIJ"
1180 PetscErrorCode MatGetRow_MPISBAIJ(Mat matin,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1181 {
1182   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
1183   PetscScalar    *vworkA,*vworkB,**pvA,**pvB,*v_p;
1184   PetscErrorCode ierr;
1185   PetscInt       bs = matin->rmap->bs,bs2 = mat->bs2,i,*cworkA,*cworkB,**pcA,**pcB;
1186   PetscInt       nztot,nzA,nzB,lrow,brstart = matin->rmap->rstart,brend = matin->rmap->rend;
1187   PetscInt       *cmap,*idx_p,cstart = mat->rstartbs;
1188 
1189   PetscFunctionBegin;
1190   if (mat->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Already active");
1191   mat->getrowactive = PETSC_TRUE;
1192 
1193   if (!mat->rowvalues && (idx || v)) {
1194     /*
1195         allocate enough space to hold information from the longest row.
1196     */
1197     Mat_SeqSBAIJ *Aa = (Mat_SeqSBAIJ*)mat->A->data;
1198     Mat_SeqBAIJ  *Ba = (Mat_SeqBAIJ*)mat->B->data;
1199     PetscInt     max = 1,mbs = mat->mbs,tmp;
1200     for (i=0; i<mbs; i++) {
1201       tmp = Aa->i[i+1] - Aa->i[i] + Ba->i[i+1] - Ba->i[i]; /* row length */
1202       if (max < tmp) max = tmp;
1203     }
1204     ierr = PetscMalloc2(max*bs2,&mat->rowvalues,max*bs2,&mat->rowindices);CHKERRQ(ierr);
1205   }
1206 
1207   if (row < brstart || row >= brend) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local rows");
1208   lrow = row - brstart;  /* local row index */
1209 
1210   pvA = &vworkA; pcA = &cworkA; pvB = &vworkB; pcB = &cworkB;
1211   if (!v)   {pvA = 0; pvB = 0;}
1212   if (!idx) {pcA = 0; if (!v) pcB = 0;}
1213   ierr  = (*mat->A->ops->getrow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1214   ierr  = (*mat->B->ops->getrow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1215   nztot = nzA + nzB;
1216 
1217   cmap = mat->garray;
1218   if (v  || idx) {
1219     if (nztot) {
1220       /* Sort by increasing column numbers, assuming A and B already sorted */
1221       PetscInt imark = -1;
1222       if (v) {
1223         *v = v_p = mat->rowvalues;
1224         for (i=0; i<nzB; i++) {
1225           if (cmap[cworkB[i]/bs] < cstart) v_p[i] = vworkB[i];
1226           else break;
1227         }
1228         imark = i;
1229         for (i=0; i<nzA; i++)     v_p[imark+i] = vworkA[i];
1230         for (i=imark; i<nzB; i++) v_p[nzA+i]   = vworkB[i];
1231       }
1232       if (idx) {
1233         *idx = idx_p = mat->rowindices;
1234         if (imark > -1) {
1235           for (i=0; i<imark; i++) {
1236             idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1237           }
1238         } else {
1239           for (i=0; i<nzB; i++) {
1240             if (cmap[cworkB[i]/bs] < cstart) idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1241             else break;
1242           }
1243           imark = i;
1244         }
1245         for (i=0; i<nzA; i++)     idx_p[imark+i] = cstart*bs + cworkA[i];
1246         for (i=imark; i<nzB; i++) idx_p[nzA+i]   = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1247       }
1248     } else {
1249       if (idx) *idx = 0;
1250       if (v)   *v   = 0;
1251     }
1252   }
1253   *nz  = nztot;
1254   ierr = (*mat->A->ops->restorerow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1255   ierr = (*mat->B->ops->restorerow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1256   PetscFunctionReturn(0);
1257 }
1258 
1259 #undef __FUNCT__
1260 #define __FUNCT__ "MatRestoreRow_MPISBAIJ"
1261 PetscErrorCode MatRestoreRow_MPISBAIJ(Mat mat,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1262 {
1263   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
1264 
1265   PetscFunctionBegin;
1266   if (!baij->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"MatGetRow() must be called first");
1267   baij->getrowactive = PETSC_FALSE;
1268   PetscFunctionReturn(0);
1269 }
1270 
1271 #undef __FUNCT__
1272 #define __FUNCT__ "MatGetRowUpperTriangular_MPISBAIJ"
1273 PetscErrorCode MatGetRowUpperTriangular_MPISBAIJ(Mat A)
1274 {
1275   Mat_MPISBAIJ *a  = (Mat_MPISBAIJ*)A->data;
1276   Mat_SeqSBAIJ *aA = (Mat_SeqSBAIJ*)a->A->data;
1277 
1278   PetscFunctionBegin;
1279   aA->getrow_utriangular = PETSC_TRUE;
1280   PetscFunctionReturn(0);
1281 }
1282 #undef __FUNCT__
1283 #define __FUNCT__ "MatRestoreRowUpperTriangular_MPISBAIJ"
1284 PetscErrorCode MatRestoreRowUpperTriangular_MPISBAIJ(Mat A)
1285 {
1286   Mat_MPISBAIJ *a  = (Mat_MPISBAIJ*)A->data;
1287   Mat_SeqSBAIJ *aA = (Mat_SeqSBAIJ*)a->A->data;
1288 
1289   PetscFunctionBegin;
1290   aA->getrow_utriangular = PETSC_FALSE;
1291   PetscFunctionReturn(0);
1292 }
1293 
1294 #undef __FUNCT__
1295 #define __FUNCT__ "MatRealPart_MPISBAIJ"
1296 PetscErrorCode MatRealPart_MPISBAIJ(Mat A)
1297 {
1298   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1299   PetscErrorCode ierr;
1300 
1301   PetscFunctionBegin;
1302   ierr = MatRealPart(a->A);CHKERRQ(ierr);
1303   ierr = MatRealPart(a->B);CHKERRQ(ierr);
1304   PetscFunctionReturn(0);
1305 }
1306 
1307 #undef __FUNCT__
1308 #define __FUNCT__ "MatImaginaryPart_MPISBAIJ"
1309 PetscErrorCode MatImaginaryPart_MPISBAIJ(Mat A)
1310 {
1311   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1312   PetscErrorCode ierr;
1313 
1314   PetscFunctionBegin;
1315   ierr = MatImaginaryPart(a->A);CHKERRQ(ierr);
1316   ierr = MatImaginaryPart(a->B);CHKERRQ(ierr);
1317   PetscFunctionReturn(0);
1318 }
1319 
1320 /* Check if isrow is a subset of iscol_local, called by MatGetSubMatrix_MPISBAIJ()
1321    Input: isrow       - distributed(parallel),
1322           iscol_local - locally owned (seq)
1323 */
1324 #undef __FUNCT__
1325 #define __FUNCT__ "ISEqual_private"
1326 PetscErrorCode ISEqual_private(IS isrow,IS iscol_local,PetscBool  *flg)
1327 {
1328   PetscErrorCode ierr;
1329   PetscInt       sz1,sz2,*a1,*a2,i,j,k,nmatch;
1330   const PetscInt *ptr1,*ptr2;
1331 
1332   PetscFunctionBegin;
1333   ierr = ISGetLocalSize(isrow,&sz1);CHKERRQ(ierr);
1334   ierr = ISGetLocalSize(iscol_local,&sz2);CHKERRQ(ierr);
1335   if (sz1 > sz2) {
1336     *flg = PETSC_FALSE;
1337     PetscFunctionReturn(0);
1338   }
1339 
1340   ierr = ISGetIndices(isrow,&ptr1);CHKERRQ(ierr);
1341   ierr = ISGetIndices(iscol_local,&ptr2);CHKERRQ(ierr);
1342 
1343   ierr = PetscMalloc1(sz1,&a1);CHKERRQ(ierr);
1344   ierr = PetscMalloc1(sz2,&a2);CHKERRQ(ierr);
1345   ierr = PetscMemcpy(a1,ptr1,sz1*sizeof(PetscInt));CHKERRQ(ierr);
1346   ierr = PetscMemcpy(a2,ptr2,sz2*sizeof(PetscInt));CHKERRQ(ierr);
1347   ierr = PetscSortInt(sz1,a1);CHKERRQ(ierr);
1348   ierr = PetscSortInt(sz2,a2);CHKERRQ(ierr);
1349 
1350   nmatch=0;
1351   k     = 0;
1352   for (i=0; i<sz1; i++){
1353     for (j=k; j<sz2; j++){
1354       if (a1[i] == a2[j]) {
1355         k = j; nmatch++;
1356         break;
1357       }
1358     }
1359   }
1360   ierr = ISRestoreIndices(isrow,&ptr1);CHKERRQ(ierr);
1361   ierr = ISRestoreIndices(iscol_local,&ptr2);CHKERRQ(ierr);
1362   ierr = PetscFree(a1);CHKERRQ(ierr);
1363   ierr = PetscFree(a2);CHKERRQ(ierr);
1364   if (nmatch < sz1) {
1365     *flg = PETSC_FALSE;
1366   } else {
1367     *flg = PETSC_TRUE;
1368   }
1369   PetscFunctionReturn(0);
1370 }
1371 
1372 #undef __FUNCT__
1373 #define __FUNCT__ "MatGetSubMatrix_MPISBAIJ"
1374 PetscErrorCode MatGetSubMatrix_MPISBAIJ(Mat mat,IS isrow,IS iscol,MatReuse call,Mat *newmat)
1375 {
1376   PetscErrorCode ierr;
1377   IS             iscol_local;
1378   PetscInt       csize;
1379   PetscBool      isequal;
1380 
1381   PetscFunctionBegin;
1382   ierr = ISGetLocalSize(iscol,&csize);CHKERRQ(ierr);
1383   if (call == MAT_REUSE_MATRIX) {
1384     ierr = PetscObjectQuery((PetscObject)*newmat,"ISAllGather",(PetscObject*)&iscol_local);CHKERRQ(ierr);
1385     if (!iscol_local) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Submatrix passed in was not used before, cannot reuse");
1386   } else {
1387     ierr = ISAllGather(iscol,&iscol_local);CHKERRQ(ierr);
1388     ierr = ISEqual_private(isrow,iscol_local,&isequal);CHKERRQ(ierr);
1389     if (!isequal) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"For symmetric format, iscol must equal isrow");
1390   }
1391 
1392   /* now call MatGetSubMatrix_MPIBAIJ() */
1393   ierr = MatGetSubMatrix_MPIBAIJ_Private(mat,isrow,iscol_local,csize,call,newmat);CHKERRQ(ierr);
1394   if (call == MAT_INITIAL_MATRIX) {
1395     ierr = PetscObjectCompose((PetscObject)*newmat,"ISAllGather",(PetscObject)iscol_local);CHKERRQ(ierr);
1396     ierr = ISDestroy(&iscol_local);CHKERRQ(ierr);
1397   }
1398   PetscFunctionReturn(0);
1399 }
1400 
1401 #undef __FUNCT__
1402 #define __FUNCT__ "MatZeroEntries_MPISBAIJ"
1403 PetscErrorCode MatZeroEntries_MPISBAIJ(Mat A)
1404 {
1405   Mat_MPISBAIJ   *l = (Mat_MPISBAIJ*)A->data;
1406   PetscErrorCode ierr;
1407 
1408   PetscFunctionBegin;
1409   ierr = MatZeroEntries(l->A);CHKERRQ(ierr);
1410   ierr = MatZeroEntries(l->B);CHKERRQ(ierr);
1411   PetscFunctionReturn(0);
1412 }
1413 
1414 #undef __FUNCT__
1415 #define __FUNCT__ "MatGetInfo_MPISBAIJ"
1416 PetscErrorCode MatGetInfo_MPISBAIJ(Mat matin,MatInfoType flag,MatInfo *info)
1417 {
1418   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)matin->data;
1419   Mat            A  = a->A,B = a->B;
1420   PetscErrorCode ierr;
1421   PetscReal      isend[5],irecv[5];
1422 
1423   PetscFunctionBegin;
1424   info->block_size = (PetscReal)matin->rmap->bs;
1425 
1426   ierr = MatGetInfo(A,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 
1431   ierr = MatGetInfo(B,MAT_LOCAL,info);CHKERRQ(ierr);
1432 
1433   isend[0] += info->nz_used; isend[1] += info->nz_allocated; isend[2] += info->nz_unneeded;
1434   isend[3] += info->memory;  isend[4] += info->mallocs;
1435   if (flag == MAT_LOCAL) {
1436     info->nz_used      = isend[0];
1437     info->nz_allocated = isend[1];
1438     info->nz_unneeded  = isend[2];
1439     info->memory       = isend[3];
1440     info->mallocs      = isend[4];
1441   } else if (flag == MAT_GLOBAL_MAX) {
1442     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)matin));CHKERRQ(ierr);
1443 
1444     info->nz_used      = irecv[0];
1445     info->nz_allocated = irecv[1];
1446     info->nz_unneeded  = irecv[2];
1447     info->memory       = irecv[3];
1448     info->mallocs      = irecv[4];
1449   } else if (flag == MAT_GLOBAL_SUM) {
1450     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)matin));CHKERRQ(ierr);
1451 
1452     info->nz_used      = irecv[0];
1453     info->nz_allocated = irecv[1];
1454     info->nz_unneeded  = irecv[2];
1455     info->memory       = irecv[3];
1456     info->mallocs      = irecv[4];
1457   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Unknown MatInfoType argument %d",(int)flag);
1458   info->fill_ratio_given  = 0; /* no parallel LU/ILU/Cholesky */
1459   info->fill_ratio_needed = 0;
1460   info->factor_mallocs    = 0;
1461   PetscFunctionReturn(0);
1462 }
1463 
1464 #undef __FUNCT__
1465 #define __FUNCT__ "MatSetOption_MPISBAIJ"
1466 PetscErrorCode MatSetOption_MPISBAIJ(Mat A,MatOption op,PetscBool flg)
1467 {
1468   Mat_MPISBAIJ   *a  = (Mat_MPISBAIJ*)A->data;
1469   Mat_SeqSBAIJ   *aA = (Mat_SeqSBAIJ*)a->A->data;
1470   PetscErrorCode ierr;
1471 
1472   PetscFunctionBegin;
1473   switch (op) {
1474   case MAT_NEW_NONZERO_LOCATIONS:
1475   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1476   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1477   case MAT_KEEP_NONZERO_PATTERN:
1478   case MAT_NEW_NONZERO_LOCATION_ERR:
1479     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1480     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1481     break;
1482   case MAT_ROW_ORIENTED:
1483     a->roworiented = flg;
1484 
1485     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1486     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1487     break;
1488   case MAT_NEW_DIAGONALS:
1489     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1490     break;
1491   case MAT_IGNORE_OFF_PROC_ENTRIES:
1492     a->donotstash = flg;
1493     break;
1494   case MAT_USE_HASH_TABLE:
1495     a->ht_flag = flg;
1496     break;
1497   case MAT_HERMITIAN:
1498     if (!A->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call MatAssemblyEnd() first");
1499     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1500 
1501     A->ops->mult = MatMult_MPISBAIJ_Hermitian;
1502     break;
1503   case MAT_SPD:
1504     A->spd_set = PETSC_TRUE;
1505     A->spd     = flg;
1506     if (flg) {
1507       A->symmetric                  = PETSC_TRUE;
1508       A->structurally_symmetric     = PETSC_TRUE;
1509       A->symmetric_set              = PETSC_TRUE;
1510       A->structurally_symmetric_set = PETSC_TRUE;
1511     }
1512     break;
1513   case MAT_SYMMETRIC:
1514     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1515     break;
1516   case MAT_STRUCTURALLY_SYMMETRIC:
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 = MPI_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,*bij = (Mat_SeqSBAIJ*)maij->B->data;
1739 
1740   PetscFunctionBegin;
1741   if (!aij->nz && !bij->nz) {
1742     ierr = MatMPISBAIJSetPreallocation(Y,Y->rmap->bs,1,NULL,0,NULL);CHKERRQ(ierr);
1743   }
1744   ierr = MatShift_Basic(Y,a);CHKERRQ(ierr);
1745   PetscFunctionReturn(0);
1746 }
1747 
1748 /* -------------------------------------------------------------------*/
1749 static struct _MatOps MatOps_Values = {MatSetValues_MPISBAIJ,
1750                                        MatGetRow_MPISBAIJ,
1751                                        MatRestoreRow_MPISBAIJ,
1752                                        MatMult_MPISBAIJ,
1753                                /*  4*/ MatMultAdd_MPISBAIJ,
1754                                        MatMult_MPISBAIJ,       /* transpose versions are same as non-transpose */
1755                                        MatMultAdd_MPISBAIJ,
1756                                        0,
1757                                        0,
1758                                        0,
1759                                /* 10*/ 0,
1760                                        0,
1761                                        0,
1762                                        MatSOR_MPISBAIJ,
1763                                        MatTranspose_MPISBAIJ,
1764                                /* 15*/ MatGetInfo_MPISBAIJ,
1765                                        MatEqual_MPISBAIJ,
1766                                        MatGetDiagonal_MPISBAIJ,
1767                                        MatDiagonalScale_MPISBAIJ,
1768                                        MatNorm_MPISBAIJ,
1769                                /* 20*/ MatAssemblyBegin_MPISBAIJ,
1770                                        MatAssemblyEnd_MPISBAIJ,
1771                                        MatSetOption_MPISBAIJ,
1772                                        MatZeroEntries_MPISBAIJ,
1773                                /* 24*/ 0,
1774                                        0,
1775                                        0,
1776                                        0,
1777                                        0,
1778                                /* 29*/ MatSetUp_MPISBAIJ,
1779                                        0,
1780                                        0,
1781                                        0,
1782                                        0,
1783                                /* 34*/ MatDuplicate_MPISBAIJ,
1784                                        0,
1785                                        0,
1786                                        0,
1787                                        0,
1788                                /* 39*/ MatAXPY_MPISBAIJ,
1789                                        MatGetSubMatrices_MPISBAIJ,
1790                                        MatIncreaseOverlap_MPISBAIJ,
1791                                        MatGetValues_MPISBAIJ,
1792                                        MatCopy_MPISBAIJ,
1793                                /* 44*/ 0,
1794                                        MatScale_MPISBAIJ,
1795                                        MatShift_MPISBAIJ,
1796                                        0,
1797                                        0,
1798                                /* 49*/ 0,
1799                                        0,
1800                                        0,
1801                                        0,
1802                                        0,
1803                                /* 54*/ 0,
1804                                        0,
1805                                        MatSetUnfactored_MPISBAIJ,
1806                                        0,
1807                                        MatSetValuesBlocked_MPISBAIJ,
1808                                /* 59*/ MatGetSubMatrix_MPISBAIJ,
1809                                        0,
1810                                        0,
1811                                        0,
1812                                        0,
1813                                /* 64*/ 0,
1814                                        0,
1815                                        0,
1816                                        0,
1817                                        0,
1818                                /* 69*/ MatGetRowMaxAbs_MPISBAIJ,
1819                                        0,
1820                                        0,
1821                                        0,
1822                                        0,
1823                                /* 74*/ 0,
1824                                        0,
1825                                        0,
1826                                        0,
1827                                        0,
1828                                /* 79*/ 0,
1829                                        0,
1830                                        0,
1831                                        0,
1832                                        MatLoad_MPISBAIJ,
1833                                /* 84*/ 0,
1834                                        0,
1835                                        0,
1836                                        0,
1837                                        0,
1838                                /* 89*/ 0,
1839                                        0,
1840                                        0,
1841                                        0,
1842                                        0,
1843                                /* 94*/ 0,
1844                                        0,
1845                                        0,
1846                                        0,
1847                                        0,
1848                                /* 99*/ 0,
1849                                        0,
1850                                        0,
1851                                        0,
1852                                        0,
1853                                /*104*/ 0,
1854                                        MatRealPart_MPISBAIJ,
1855                                        MatImaginaryPart_MPISBAIJ,
1856                                        MatGetRowUpperTriangular_MPISBAIJ,
1857                                        MatRestoreRowUpperTriangular_MPISBAIJ,
1858                                /*109*/ 0,
1859                                        0,
1860                                        0,
1861                                        0,
1862                                        0,
1863                                /*114*/ 0,
1864                                        0,
1865                                        0,
1866                                        0,
1867                                        0,
1868                                /*119*/ 0,
1869                                        0,
1870                                        0,
1871                                        0,
1872                                        0,
1873                                /*124*/ 0,
1874                                        0,
1875                                        0,
1876                                        0,
1877                                        0,
1878                                /*129*/ 0,
1879                                        0,
1880                                        0,
1881                                        0,
1882                                        0,
1883                                /*134*/ 0,
1884                                        0,
1885                                        0,
1886                                        0,
1887                                        0,
1888                                /*139*/ 0,
1889                                        0,
1890                                        0,
1891                                        0,
1892                                        0,
1893                                 /*144*/MatCreateMPIMatConcatenateSeqMat_MPISBAIJ
1894 };
1895 
1896 #undef __FUNCT__
1897 #define __FUNCT__ "MatGetDiagonalBlock_MPISBAIJ"
1898 PetscErrorCode  MatGetDiagonalBlock_MPISBAIJ(Mat A,Mat *a)
1899 {
1900   PetscFunctionBegin;
1901   *a = ((Mat_MPISBAIJ*)A->data)->A;
1902   PetscFunctionReturn(0);
1903 }
1904 
1905 #undef __FUNCT__
1906 #define __FUNCT__ "MatMPISBAIJSetPreallocation_MPISBAIJ"
1907 PetscErrorCode  MatMPISBAIJSetPreallocation_MPISBAIJ(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt *d_nnz,PetscInt o_nz,const PetscInt *o_nnz)
1908 {
1909   Mat_MPISBAIJ   *b;
1910   PetscErrorCode ierr;
1911   PetscInt       i,mbs,Mbs;
1912 
1913   PetscFunctionBegin;
1914   ierr = MatSetBlockSize(B,PetscAbs(bs));CHKERRQ(ierr);
1915   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1916   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1917   ierr = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
1918 
1919   b   = (Mat_MPISBAIJ*)B->data;
1920   mbs = B->rmap->n/bs;
1921   Mbs = B->rmap->N/bs;
1922   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);
1923 
1924   B->rmap->bs = bs;
1925   b->bs2      = bs*bs;
1926   b->mbs      = mbs;
1927   b->Mbs      = Mbs;
1928   b->nbs      = B->cmap->n/bs;
1929   b->Nbs      = B->cmap->N/bs;
1930 
1931   for (i=0; i<=b->size; i++) {
1932     b->rangebs[i] = B->rmap->range[i]/bs;
1933   }
1934   b->rstartbs = B->rmap->rstart/bs;
1935   b->rendbs   = B->rmap->rend/bs;
1936 
1937   b->cstartbs = B->cmap->rstart/bs;
1938   b->cendbs   = B->cmap->rend/bs;
1939 
1940   if (!B->preallocated) {
1941     ierr = MatCreate(PETSC_COMM_SELF,&b->A);CHKERRQ(ierr);
1942     ierr = MatSetSizes(b->A,B->rmap->n,B->cmap->n,B->rmap->n,B->cmap->n);CHKERRQ(ierr);
1943     ierr = MatSetType(b->A,MATSEQSBAIJ);CHKERRQ(ierr);
1944     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->A);CHKERRQ(ierr);
1945     ierr = MatCreate(PETSC_COMM_SELF,&b->B);CHKERRQ(ierr);
1946     ierr = MatSetSizes(b->B,B->rmap->n,B->cmap->N,B->rmap->n,B->cmap->N);CHKERRQ(ierr);
1947     ierr = MatSetType(b->B,MATSEQBAIJ);CHKERRQ(ierr);
1948     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->B);CHKERRQ(ierr);
1949     ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),bs,&B->bstash);CHKERRQ(ierr);
1950   }
1951 
1952   ierr = MatSeqSBAIJSetPreallocation(b->A,bs,d_nz,d_nnz);CHKERRQ(ierr);
1953   ierr = MatSeqBAIJSetPreallocation(b->B,bs,o_nz,o_nnz);CHKERRQ(ierr);
1954 
1955   B->preallocated = PETSC_TRUE;
1956   PetscFunctionReturn(0);
1957 }
1958 
1959 #undef __FUNCT__
1960 #define __FUNCT__ "MatMPISBAIJSetPreallocationCSR_MPISBAIJ"
1961 PetscErrorCode MatMPISBAIJSetPreallocationCSR_MPISBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
1962 {
1963   PetscInt       m,rstart,cstart,cend;
1964   PetscInt       i,j,d,nz,nz_max=0,*d_nnz=0,*o_nnz=0;
1965   const PetscInt *JJ    =0;
1966   PetscScalar    *values=0;
1967   PetscErrorCode ierr;
1968 
1969   PetscFunctionBegin;
1970   if (bs < 1) SETERRQ1(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive but it is %D",bs);
1971   ierr   = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
1972   ierr   = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
1973   ierr   = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1974   ierr   = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1975   ierr   = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
1976   m      = B->rmap->n/bs;
1977   rstart = B->rmap->rstart/bs;
1978   cstart = B->cmap->rstart/bs;
1979   cend   = B->cmap->rend/bs;
1980 
1981   if (ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"ii[0] must be 0 but it is %D",ii[0]);
1982   ierr = PetscMalloc2(m,&d_nnz,m,&o_nnz);CHKERRQ(ierr);
1983   for (i=0; i<m; i++) {
1984     nz = ii[i+1] - ii[i];
1985     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Local row %D has a negative number of columns %D",i,nz);
1986     nz_max = PetscMax(nz_max,nz);
1987     JJ     = jj + ii[i];
1988     for (j=0; j<nz; j++) {
1989       if (*JJ >= cstart) break;
1990       JJ++;
1991     }
1992     d = 0;
1993     for (; j<nz; j++) {
1994       if (*JJ++ >= cend) break;
1995       d++;
1996     }
1997     d_nnz[i] = d;
1998     o_nnz[i] = nz - d;
1999   }
2000   ierr = MatMPISBAIJSetPreallocation(B,bs,0,d_nnz,0,o_nnz);CHKERRQ(ierr);
2001   ierr = PetscFree2(d_nnz,o_nnz);CHKERRQ(ierr);
2002 
2003   values = (PetscScalar*)V;
2004   if (!values) {
2005     ierr = PetscMalloc1(bs*bs*nz_max,&values);CHKERRQ(ierr);
2006     ierr = PetscMemzero(values,bs*bs*nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
2007   }
2008   for (i=0; i<m; i++) {
2009     PetscInt          row    = i + rstart;
2010     PetscInt          ncols  = ii[i+1] - ii[i];
2011     const PetscInt    *icols = jj + ii[i];
2012     const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
2013     ierr = MatSetValuesBlocked_MPISBAIJ(B,1,&row,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
2014   }
2015 
2016   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
2017   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2018   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2019   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
2020   PetscFunctionReturn(0);
2021 }
2022 
2023 /*MC
2024    MATMPISBAIJ - MATMPISBAIJ = "mpisbaij" - A matrix type to be used for distributed symmetric sparse block matrices,
2025    based on block compressed sparse row format.  Only the upper triangular portion of the "diagonal" portion of
2026    the matrix is stored.
2027 
2028   For complex numbers by default this matrix is symmetric, NOT Hermitian symmetric. To make it Hermitian symmetric you
2029   can call MatSetOption(Mat, MAT_HERMITIAN);
2030 
2031    Options Database Keys:
2032 . -mat_type mpisbaij - sets the matrix type to "mpisbaij" during a call to MatSetFromOptions()
2033 
2034   Level: beginner
2035 
2036 .seealso: MatCreateMPISBAIJ
2037 M*/
2038 
2039 PETSC_EXTERN PetscErrorCode MatConvert_MPISBAIJ_MPISBSTRM(Mat,MatType,MatReuse,Mat*);
2040 
2041 #undef __FUNCT__
2042 #define __FUNCT__ "MatCreate_MPISBAIJ"
2043 PETSC_EXTERN PetscErrorCode MatCreate_MPISBAIJ(Mat B)
2044 {
2045   Mat_MPISBAIJ   *b;
2046   PetscErrorCode ierr;
2047   PetscBool      flg = PETSC_FALSE;
2048 
2049   PetscFunctionBegin;
2050   ierr    = PetscNewLog(B,&b);CHKERRQ(ierr);
2051   B->data = (void*)b;
2052   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
2053 
2054   B->ops->destroy = MatDestroy_MPISBAIJ;
2055   B->ops->view    = MatView_MPISBAIJ;
2056   B->assembled    = PETSC_FALSE;
2057   B->insertmode   = NOT_SET_VALUES;
2058 
2059   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)B),&b->rank);CHKERRQ(ierr);
2060   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&b->size);CHKERRQ(ierr);
2061 
2062   /* build local table of row and column ownerships */
2063   ierr = PetscMalloc1(b->size+2,&b->rangebs);CHKERRQ(ierr);
2064 
2065   /* build cache for off array entries formed */
2066   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),1,&B->stash);CHKERRQ(ierr);
2067 
2068   b->donotstash  = PETSC_FALSE;
2069   b->colmap      = NULL;
2070   b->garray      = NULL;
2071   b->roworiented = PETSC_TRUE;
2072 
2073   /* stuff used in block assembly */
2074   b->barray = 0;
2075 
2076   /* stuff used for matrix vector multiply */
2077   b->lvec    = 0;
2078   b->Mvctx   = 0;
2079   b->slvec0  = 0;
2080   b->slvec0b = 0;
2081   b->slvec1  = 0;
2082   b->slvec1a = 0;
2083   b->slvec1b = 0;
2084   b->sMvctx  = 0;
2085 
2086   /* stuff for MatGetRow() */
2087   b->rowindices   = 0;
2088   b->rowvalues    = 0;
2089   b->getrowactive = PETSC_FALSE;
2090 
2091   /* hash table stuff */
2092   b->ht           = 0;
2093   b->hd           = 0;
2094   b->ht_size      = 0;
2095   b->ht_flag      = PETSC_FALSE;
2096   b->ht_fact      = 0;
2097   b->ht_total_ct  = 0;
2098   b->ht_insert_ct = 0;
2099 
2100   /* stuff for MatGetSubMatrices_MPIBAIJ_local() */
2101   b->ijonly = PETSC_FALSE;
2102 
2103   b->in_loc = 0;
2104   b->v_loc  = 0;
2105   b->n_loc  = 0;
2106 
2107   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_MPISBAIJ);CHKERRQ(ierr);
2108   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_MPISBAIJ);CHKERRQ(ierr);
2109   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetDiagonalBlock_C",MatGetDiagonalBlock_MPISBAIJ);CHKERRQ(ierr);
2110   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPISBAIJSetPreallocation_C",MatMPISBAIJSetPreallocation_MPISBAIJ);CHKERRQ(ierr);
2111   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPISBAIJSetPreallocationCSR_C",MatMPISBAIJSetPreallocationCSR_MPISBAIJ);CHKERRQ(ierr);
2112   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpisbaij_mpisbstrm_C",MatConvert_MPISBAIJ_MPISBSTRM);CHKERRQ(ierr);
2113 #if defined(PETSC_HAVE_ELEMENTAL)
2114   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpisbaij_elemental_C",MatConvert_MPISBAIJ_Elemental);CHKERRQ(ierr);
2115 #endif
2116 
2117   B->symmetric                  = PETSC_TRUE;
2118   B->structurally_symmetric     = PETSC_TRUE;
2119   B->symmetric_set              = PETSC_TRUE;
2120   B->structurally_symmetric_set = PETSC_TRUE;
2121 
2122   ierr = PetscObjectChangeTypeName((PetscObject)B,MATMPISBAIJ);CHKERRQ(ierr);
2123   ierr      = PetscOptionsBegin(PetscObjectComm((PetscObject)B),NULL,"Options for loading MPISBAIJ matrix 1","Mat");CHKERRQ(ierr);
2124   ierr      = PetscOptionsBool("-mat_use_hash_table","Use hash table to save memory in constructing matrix","MatSetOption",flg,&flg,NULL);CHKERRQ(ierr);
2125   if (flg) {
2126     PetscReal fact = 1.39;
2127     ierr = MatSetOption(B,MAT_USE_HASH_TABLE,PETSC_TRUE);CHKERRQ(ierr);
2128     ierr = PetscOptionsReal("-mat_use_hash_table","Use hash table factor","MatMPIBAIJSetHashTableFactor",fact,&fact,NULL);CHKERRQ(ierr);
2129     if (fact <= 1.0) fact = 1.39;
2130     ierr = MatMPIBAIJSetHashTableFactor(B,fact);CHKERRQ(ierr);
2131     ierr = PetscInfo1(B,"Hash table Factor used %5.2f\n",fact);CHKERRQ(ierr);
2132   }
2133   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2134   PetscFunctionReturn(0);
2135 }
2136 
2137 /*MC
2138    MATSBAIJ - MATSBAIJ = "sbaij" - A matrix type to be used for symmetric block sparse matrices.
2139 
2140    This matrix type is identical to MATSEQSBAIJ when constructed with a single process communicator,
2141    and MATMPISBAIJ otherwise.
2142 
2143    Options Database Keys:
2144 . -mat_type sbaij - sets the matrix type to "sbaij" during a call to MatSetFromOptions()
2145 
2146   Level: beginner
2147 
2148 .seealso: MatCreateMPISBAIJ,MATSEQSBAIJ,MATMPISBAIJ
2149 M*/
2150 
2151 #undef __FUNCT__
2152 #define __FUNCT__ "MatMPISBAIJSetPreallocation"
2153 /*@C
2154    MatMPISBAIJSetPreallocation - For good matrix assembly performance
2155    the user should preallocate the matrix storage by setting the parameters
2156    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
2157    performance can be increased by more than a factor of 50.
2158 
2159    Collective on Mat
2160 
2161    Input Parameters:
2162 +  B - the matrix
2163 .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
2164           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
2165 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
2166            submatrix  (same for all local rows)
2167 .  d_nnz - array containing the number of block nonzeros in the various block rows
2168            in the upper triangular and diagonal part of the in diagonal portion of the local
2169            (possibly different for each block row) or NULL.  If you plan to factor the matrix you must leave room
2170            for the diagonal entry and set a value even if it is zero.
2171 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
2172            submatrix (same for all local rows).
2173 -  o_nnz - array containing the number of nonzeros in the various block rows of the
2174            off-diagonal portion of the local submatrix that is right of the diagonal
2175            (possibly different for each block row) or NULL.
2176 
2177 
2178    Options Database Keys:
2179 .   -mat_no_unroll - uses code that does not unroll the loops in the
2180                      block calculations (much slower)
2181 .   -mat_block_size - size of the blocks to use
2182 
2183    Notes:
2184 
2185    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
2186    than it must be used on all processors that share the object for that argument.
2187 
2188    If the *_nnz parameter is given then the *_nz parameter is ignored
2189 
2190    Storage Information:
2191    For a square global matrix we define each processor's diagonal portion
2192    to be its local rows and the corresponding columns (a square submatrix);
2193    each processor's off-diagonal portion encompasses the remainder of the
2194    local matrix (a rectangular submatrix).
2195 
2196    The user can specify preallocated storage for the diagonal part of
2197    the local submatrix with either d_nz or d_nnz (not both).  Set
2198    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
2199    memory allocation.  Likewise, specify preallocated storage for the
2200    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
2201 
2202    You can call MatGetInfo() to get information on how effective the preallocation was;
2203    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
2204    You can also run with the option -info and look for messages with the string
2205    malloc in them to see if additional memory allocation was needed.
2206 
2207    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
2208    the figure below we depict these three local rows and all columns (0-11).
2209 
2210 .vb
2211            0 1 2 3 4 5 6 7 8 9 10 11
2212           --------------------------
2213    row 3  |. . . d d d o o o o  o  o
2214    row 4  |. . . d d d o o o o  o  o
2215    row 5  |. . . d d d o o o o  o  o
2216           --------------------------
2217 .ve
2218 
2219    Thus, any entries in the d locations are stored in the d (diagonal)
2220    submatrix, and any entries in the o locations are stored in the
2221    o (off-diagonal) submatrix.  Note that the d matrix is stored in
2222    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
2223 
2224    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
2225    plus the diagonal part of the d matrix,
2226    and o_nz should indicate the number of block nonzeros per row in the o matrix
2227 
2228    In general, for PDE problems in which most nonzeros are near the diagonal,
2229    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
2230    or you will get TERRIBLE performance; see the users' manual chapter on
2231    matrices.
2232 
2233    Level: intermediate
2234 
2235 .keywords: matrix, block, aij, compressed row, sparse, parallel
2236 
2237 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateBAIJ(), PetscSplitOwnership()
2238 @*/
2239 PetscErrorCode  MatMPISBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
2240 {
2241   PetscErrorCode ierr;
2242 
2243   PetscFunctionBegin;
2244   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
2245   PetscValidType(B,1);
2246   PetscValidLogicalCollectiveInt(B,bs,2);
2247   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);
2248   PetscFunctionReturn(0);
2249 }
2250 
2251 #undef __FUNCT__
2252 #define __FUNCT__ "MatCreateSBAIJ"
2253 /*@C
2254    MatCreateSBAIJ - Creates a sparse parallel matrix in symmetric block AIJ format
2255    (block compressed row).  For good matrix assembly performance
2256    the user should preallocate the matrix storage by setting the parameters
2257    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
2258    performance can be increased by more than a factor of 50.
2259 
2260    Collective on MPI_Comm
2261 
2262    Input Parameters:
2263 +  comm - MPI communicator
2264 .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
2265           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
2266 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
2267            This value should be the same as the local size used in creating the
2268            y vector for the matrix-vector product y = Ax.
2269 .  n - number of local columns (or PETSC_DECIDE to have calculated if N is given)
2270            This value should be the same as the local size used in creating the
2271            x vector for the matrix-vector product y = Ax.
2272 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
2273 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
2274 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
2275            submatrix  (same for all local rows)
2276 .  d_nnz - array containing the number of block nonzeros in the various block rows
2277            in the upper triangular portion of the in diagonal portion of the local
2278            (possibly different for each block block row) or NULL.
2279            If you plan to factor the matrix you must leave room for the diagonal entry and
2280            set its value even if it is zero.
2281 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
2282            submatrix (same for all local rows).
2283 -  o_nnz - array containing the number of nonzeros in the various block rows of the
2284            off-diagonal portion of the local submatrix (possibly different for
2285            each block row) or NULL.
2286 
2287    Output Parameter:
2288 .  A - the matrix
2289 
2290    Options Database Keys:
2291 .   -mat_no_unroll - uses code that does not unroll the loops in the
2292                      block calculations (much slower)
2293 .   -mat_block_size - size of the blocks to use
2294 .   -mat_mpi - use the parallel matrix data structures even on one processor
2295                (defaults to using SeqBAIJ format on one processor)
2296 
2297    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
2298    MatXXXXSetPreallocation() paradgm instead of this routine directly.
2299    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
2300 
2301    Notes:
2302    The number of rows and columns must be divisible by blocksize.
2303    This matrix type does not support complex Hermitian operation.
2304 
2305    The user MUST specify either the local or global matrix dimensions
2306    (possibly both).
2307 
2308    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
2309    than it must be used on all processors that share the object for that argument.
2310 
2311    If the *_nnz parameter is given then the *_nz parameter is ignored
2312 
2313    Storage Information:
2314    For a square global matrix we define each processor's diagonal portion
2315    to be its local rows and the corresponding columns (a square submatrix);
2316    each processor's off-diagonal portion encompasses the remainder of the
2317    local matrix (a rectangular submatrix).
2318 
2319    The user can specify preallocated storage for the diagonal part of
2320    the local submatrix with either d_nz or d_nnz (not both).  Set
2321    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
2322    memory allocation.  Likewise, specify preallocated storage for the
2323    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
2324 
2325    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
2326    the figure below we depict these three local rows and all columns (0-11).
2327 
2328 .vb
2329            0 1 2 3 4 5 6 7 8 9 10 11
2330           --------------------------
2331    row 3  |. . . d d d o o o o  o  o
2332    row 4  |. . . d d d o o o o  o  o
2333    row 5  |. . . d d d o o o o  o  o
2334           --------------------------
2335 .ve
2336 
2337    Thus, any entries in the d locations are stored in the d (diagonal)
2338    submatrix, and any entries in the o locations are stored in the
2339    o (off-diagonal) submatrix.  Note that the d matrix is stored in
2340    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
2341 
2342    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
2343    plus the diagonal part of the d matrix,
2344    and o_nz should indicate the number of block nonzeros per row in the o matrix.
2345    In general, for PDE problems in which most nonzeros are near the diagonal,
2346    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
2347    or you will get TERRIBLE performance; see the users' manual chapter on
2348    matrices.
2349 
2350    Level: intermediate
2351 
2352 .keywords: matrix, block, aij, compressed row, sparse, parallel
2353 
2354 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateBAIJ()
2355 @*/
2356 
2357 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)
2358 {
2359   PetscErrorCode ierr;
2360   PetscMPIInt    size;
2361 
2362   PetscFunctionBegin;
2363   ierr = MatCreate(comm,A);CHKERRQ(ierr);
2364   ierr = MatSetSizes(*A,m,n,M,N);CHKERRQ(ierr);
2365   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2366   if (size > 1) {
2367     ierr = MatSetType(*A,MATMPISBAIJ);CHKERRQ(ierr);
2368     ierr = MatMPISBAIJSetPreallocation(*A,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
2369   } else {
2370     ierr = MatSetType(*A,MATSEQSBAIJ);CHKERRQ(ierr);
2371     ierr = MatSeqSBAIJSetPreallocation(*A,bs,d_nz,d_nnz);CHKERRQ(ierr);
2372   }
2373   PetscFunctionReturn(0);
2374 }
2375 
2376 
2377 #undef __FUNCT__
2378 #define __FUNCT__ "MatDuplicate_MPISBAIJ"
2379 static PetscErrorCode MatDuplicate_MPISBAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
2380 {
2381   Mat            mat;
2382   Mat_MPISBAIJ   *a,*oldmat = (Mat_MPISBAIJ*)matin->data;
2383   PetscErrorCode ierr;
2384   PetscInt       len=0,nt,bs=matin->rmap->bs,mbs=oldmat->mbs;
2385   PetscScalar    *array;
2386 
2387   PetscFunctionBegin;
2388   *newmat = 0;
2389 
2390   ierr = MatCreate(PetscObjectComm((PetscObject)matin),&mat);CHKERRQ(ierr);
2391   ierr = MatSetSizes(mat,matin->rmap->n,matin->cmap->n,matin->rmap->N,matin->cmap->N);CHKERRQ(ierr);
2392   ierr = MatSetType(mat,((PetscObject)matin)->type_name);CHKERRQ(ierr);
2393   ierr = PetscMemcpy(mat->ops,matin->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
2394   ierr = PetscLayoutReference(matin->rmap,&mat->rmap);CHKERRQ(ierr);
2395   ierr = PetscLayoutReference(matin->cmap,&mat->cmap);CHKERRQ(ierr);
2396 
2397   mat->factortype   = matin->factortype;
2398   mat->preallocated = PETSC_TRUE;
2399   mat->assembled    = PETSC_TRUE;
2400   mat->insertmode   = NOT_SET_VALUES;
2401 
2402   a      = (Mat_MPISBAIJ*)mat->data;
2403   a->bs2 = oldmat->bs2;
2404   a->mbs = oldmat->mbs;
2405   a->nbs = oldmat->nbs;
2406   a->Mbs = oldmat->Mbs;
2407   a->Nbs = oldmat->Nbs;
2408 
2409 
2410   a->size         = oldmat->size;
2411   a->rank         = oldmat->rank;
2412   a->donotstash   = oldmat->donotstash;
2413   a->roworiented  = oldmat->roworiented;
2414   a->rowindices   = 0;
2415   a->rowvalues    = 0;
2416   a->getrowactive = PETSC_FALSE;
2417   a->barray       = 0;
2418   a->rstartbs     = oldmat->rstartbs;
2419   a->rendbs       = oldmat->rendbs;
2420   a->cstartbs     = oldmat->cstartbs;
2421   a->cendbs       = oldmat->cendbs;
2422 
2423   /* hash table stuff */
2424   a->ht           = 0;
2425   a->hd           = 0;
2426   a->ht_size      = 0;
2427   a->ht_flag      = oldmat->ht_flag;
2428   a->ht_fact      = oldmat->ht_fact;
2429   a->ht_total_ct  = 0;
2430   a->ht_insert_ct = 0;
2431 
2432   ierr = PetscMemcpy(a->rangebs,oldmat->rangebs,(a->size+2)*sizeof(PetscInt));CHKERRQ(ierr);
2433   if (oldmat->colmap) {
2434 #if defined(PETSC_USE_CTABLE)
2435     ierr = PetscTableCreateCopy(oldmat->colmap,&a->colmap);CHKERRQ(ierr);
2436 #else
2437     ierr = PetscMalloc1(a->Nbs,&a->colmap);CHKERRQ(ierr);
2438     ierr = PetscLogObjectMemory((PetscObject)mat,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2439     ierr = PetscMemcpy(a->colmap,oldmat->colmap,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2440 #endif
2441   } else a->colmap = 0;
2442 
2443   if (oldmat->garray && (len = ((Mat_SeqBAIJ*)(oldmat->B->data))->nbs)) {
2444     ierr = PetscMalloc1(len,&a->garray);CHKERRQ(ierr);
2445     ierr = PetscLogObjectMemory((PetscObject)mat,len*sizeof(PetscInt));CHKERRQ(ierr);
2446     ierr = PetscMemcpy(a->garray,oldmat->garray,len*sizeof(PetscInt));CHKERRQ(ierr);
2447   } else a->garray = 0;
2448 
2449   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)matin),matin->rmap->bs,&mat->bstash);CHKERRQ(ierr);
2450   ierr = VecDuplicate(oldmat->lvec,&a->lvec);CHKERRQ(ierr);
2451   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->lvec);CHKERRQ(ierr);
2452   ierr = VecScatterCopy(oldmat->Mvctx,&a->Mvctx);CHKERRQ(ierr);
2453   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->Mvctx);CHKERRQ(ierr);
2454 
2455   ierr = VecDuplicate(oldmat->slvec0,&a->slvec0);CHKERRQ(ierr);
2456   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0);CHKERRQ(ierr);
2457   ierr = VecDuplicate(oldmat->slvec1,&a->slvec1);CHKERRQ(ierr);
2458   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1);CHKERRQ(ierr);
2459 
2460   ierr = VecGetLocalSize(a->slvec1,&nt);CHKERRQ(ierr);
2461   ierr = VecGetArray(a->slvec1,&array);CHKERRQ(ierr);
2462   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,bs*mbs,array,&a->slvec1a);CHKERRQ(ierr);
2463   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nt-bs*mbs,array+bs*mbs,&a->slvec1b);CHKERRQ(ierr);
2464   ierr = VecRestoreArray(a->slvec1,&array);CHKERRQ(ierr);
2465   ierr = VecGetArray(a->slvec0,&array);CHKERRQ(ierr);
2466   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nt-bs*mbs,array+bs*mbs,&a->slvec0b);CHKERRQ(ierr);
2467   ierr = VecRestoreArray(a->slvec0,&array);CHKERRQ(ierr);
2468   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0);CHKERRQ(ierr);
2469   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1);CHKERRQ(ierr);
2470   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0b);CHKERRQ(ierr);
2471   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1a);CHKERRQ(ierr);
2472   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1b);CHKERRQ(ierr);
2473 
2474   /* ierr =  VecScatterCopy(oldmat->sMvctx,&a->sMvctx); - not written yet, replaced by the lazy trick: */
2475   ierr      = PetscObjectReference((PetscObject)oldmat->sMvctx);CHKERRQ(ierr);
2476   a->sMvctx = oldmat->sMvctx;
2477   ierr      = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->sMvctx);CHKERRQ(ierr);
2478 
2479   ierr    = MatDuplicate(oldmat->A,cpvalues,&a->A);CHKERRQ(ierr);
2480   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->A);CHKERRQ(ierr);
2481   ierr    = MatDuplicate(oldmat->B,cpvalues,&a->B);CHKERRQ(ierr);
2482   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->B);CHKERRQ(ierr);
2483   ierr    = PetscFunctionListDuplicate(((PetscObject)matin)->qlist,&((PetscObject)mat)->qlist);CHKERRQ(ierr);
2484   *newmat = mat;
2485   PetscFunctionReturn(0);
2486 }
2487 
2488 #undef __FUNCT__
2489 #define __FUNCT__ "MatLoad_MPISBAIJ"
2490 PetscErrorCode MatLoad_MPISBAIJ(Mat newmat,PetscViewer viewer)
2491 {
2492   PetscErrorCode ierr;
2493   PetscInt       i,nz,j,rstart,rend;
2494   PetscScalar    *vals,*buf;
2495   MPI_Comm       comm;
2496   MPI_Status     status;
2497   PetscMPIInt    rank,size,tag = ((PetscObject)viewer)->tag,*sndcounts = 0,*browners,maxnz,*rowners,mmbs;
2498   PetscInt       header[4],*rowlengths = 0,M,N,m,*cols,*locrowlens;
2499   PetscInt       *procsnz = 0,jj,*mycols,*ibuf;
2500   PetscInt       bs = newmat->rmap->bs,Mbs,mbs,extra_rows;
2501   PetscInt       *dlens,*odlens,*mask,*masked1,*masked2,rowcount,odcount;
2502   PetscInt       dcount,kmax,k,nzcount,tmp;
2503   int            fd;
2504 
2505   PetscFunctionBegin;
2506   /* force binary viewer to load .info file if it has not yet done so */
2507   ierr = PetscViewerSetUp(viewer);CHKERRQ(ierr);
2508   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
2509   ierr = PetscOptionsBegin(comm,NULL,"Options for loading MPISBAIJ matrix 2","Mat");CHKERRQ(ierr);
2510   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
2511   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2512   if (bs < 0) bs = 1;
2513 
2514   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2515   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
2516   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
2517   if (!rank) {
2518     ierr = PetscBinaryRead(fd,(char*)header,4,PETSC_INT);CHKERRQ(ierr);
2519     if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
2520     if (header[3] < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as MPISBAIJ");
2521   }
2522 
2523   ierr = MPI_Bcast(header+1,3,MPIU_INT,0,comm);CHKERRQ(ierr);
2524   M    = header[1];
2525   N    = header[2];
2526 
2527   /* If global sizes are set, check if they are consistent with that given in the file */
2528   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);
2529   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);
2530 
2531   if (M != N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Can only do square matrices");
2532 
2533   /*
2534      This code adds extra rows to make sure the number of rows is
2535      divisible by the blocksize
2536   */
2537   Mbs        = M/bs;
2538   extra_rows = bs - M + bs*(Mbs);
2539   if (extra_rows == bs) extra_rows = 0;
2540   else                  Mbs++;
2541   if (extra_rows &&!rank) {
2542     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
2543   }
2544 
2545   /* determine ownership of all rows */
2546   if (newmat->rmap->n < 0) { /* PETSC_DECIDE */
2547     mbs = Mbs/size + ((Mbs % size) > rank);
2548     m   = mbs*bs;
2549   } else { /* User Set */
2550     m   = newmat->rmap->n;
2551     mbs = m/bs;
2552   }
2553   ierr       = PetscMalloc2(size+1,&rowners,size+1,&browners);CHKERRQ(ierr);
2554   ierr       = PetscMPIIntCast(mbs,&mmbs);CHKERRQ(ierr);
2555   ierr       = MPI_Allgather(&mmbs,1,MPI_INT,rowners+1,1,MPI_INT,comm);CHKERRQ(ierr);
2556   rowners[0] = 0;
2557   for (i=2; i<=size; i++) rowners[i] += rowners[i-1];
2558   for (i=0; i<=size; i++) browners[i] = rowners[i]*bs;
2559   rstart = rowners[rank];
2560   rend   = rowners[rank+1];
2561 
2562   /* distribute row lengths to all processors */
2563   ierr = PetscMalloc1((rend-rstart)*bs,&locrowlens);CHKERRQ(ierr);
2564   if (!rank) {
2565     ierr = PetscMalloc1(M+extra_rows,&rowlengths);CHKERRQ(ierr);
2566     ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
2567     for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
2568     ierr = PetscMalloc1(size,&sndcounts);CHKERRQ(ierr);
2569     for (i=0; i<size; i++) sndcounts[i] = browners[i+1] - browners[i];
2570     ierr = MPI_Scatterv(rowlengths,sndcounts,browners,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2571     ierr = PetscFree(sndcounts);CHKERRQ(ierr);
2572   } else {
2573     ierr = MPI_Scatterv(0,0,0,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2574   }
2575 
2576   if (!rank) {   /* procs[0] */
2577     /* calculate the number of nonzeros on each processor */
2578     ierr = PetscMalloc1(size,&procsnz);CHKERRQ(ierr);
2579     ierr = PetscMemzero(procsnz,size*sizeof(PetscInt));CHKERRQ(ierr);
2580     for (i=0; i<size; i++) {
2581       for (j=rowners[i]*bs; j< rowners[i+1]*bs; j++) {
2582         procsnz[i] += rowlengths[j];
2583       }
2584     }
2585     ierr = PetscFree(rowlengths);CHKERRQ(ierr);
2586 
2587     /* determine max buffer needed and allocate it */
2588     maxnz = 0;
2589     for (i=0; i<size; i++) {
2590       maxnz = PetscMax(maxnz,procsnz[i]);
2591     }
2592     ierr = PetscMalloc1(maxnz,&cols);CHKERRQ(ierr);
2593 
2594     /* read in my part of the matrix column indices  */
2595     nz     = procsnz[0];
2596     ierr   = PetscMalloc1(nz,&ibuf);CHKERRQ(ierr);
2597     mycols = ibuf;
2598     if (size == 1) nz -= extra_rows;
2599     ierr = PetscBinaryRead(fd,mycols,nz,PETSC_INT);CHKERRQ(ierr);
2600     if (size == 1) {
2601       for (i=0; i< extra_rows; i++) mycols[nz+i] = M+i;
2602     }
2603 
2604     /* read in every ones (except the last) and ship off */
2605     for (i=1; i<size-1; i++) {
2606       nz   = procsnz[i];
2607       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2608       ierr = MPI_Send(cols,nz,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
2609     }
2610     /* read in the stuff for the last proc */
2611     if (size != 1) {
2612       nz   = procsnz[size-1] - extra_rows;  /* the extra rows are not on the disk */
2613       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2614       for (i=0; i<extra_rows; i++) cols[nz+i] = M+i;
2615       ierr = MPI_Send(cols,nz+extra_rows,MPIU_INT,size-1,tag,comm);CHKERRQ(ierr);
2616     }
2617     ierr = PetscFree(cols);CHKERRQ(ierr);
2618   } else {  /* procs[i], i>0 */
2619     /* determine buffer space needed for message */
2620     nz = 0;
2621     for (i=0; i<m; i++) nz += locrowlens[i];
2622     ierr   = PetscMalloc1(nz,&ibuf);CHKERRQ(ierr);
2623     mycols = ibuf;
2624     /* receive message of column indices*/
2625     ierr = MPI_Recv(mycols,nz,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
2626     ierr = MPI_Get_count(&status,MPIU_INT,&maxnz);CHKERRQ(ierr);
2627     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2628   }
2629 
2630   /* loop over local rows, determining number of off diagonal entries */
2631   ierr     = PetscMalloc2(rend-rstart,&dlens,rend-rstart,&odlens);CHKERRQ(ierr);
2632   ierr     = PetscMalloc3(Mbs,&mask,Mbs,&masked1,Mbs,&masked2);CHKERRQ(ierr);
2633   ierr     = PetscMemzero(mask,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2634   ierr     = PetscMemzero(masked1,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2635   ierr     = PetscMemzero(masked2,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2636   rowcount = 0;
2637   nzcount  = 0;
2638   for (i=0; i<mbs; i++) {
2639     dcount  = 0;
2640     odcount = 0;
2641     for (j=0; j<bs; j++) {
2642       kmax = locrowlens[rowcount];
2643       for (k=0; k<kmax; k++) {
2644         tmp = mycols[nzcount++]/bs; /* block col. index */
2645         if (!mask[tmp]) {
2646           mask[tmp] = 1;
2647           if (tmp < rstart || tmp >= rend) masked2[odcount++] = tmp; /* entry in off-diag portion */
2648           else masked1[dcount++] = tmp; /* entry in diag portion */
2649         }
2650       }
2651       rowcount++;
2652     }
2653 
2654     dlens[i]  = dcount;  /* d_nzz[i] */
2655     odlens[i] = odcount; /* o_nzz[i] */
2656 
2657     /* zero out the mask elements we set */
2658     for (j=0; j<dcount; j++) mask[masked1[j]] = 0;
2659     for (j=0; j<odcount; j++) mask[masked2[j]] = 0;
2660   }
2661   ierr = MatSetSizes(newmat,m,m,M+extra_rows,N+extra_rows);CHKERRQ(ierr);
2662   ierr = MatMPISBAIJSetPreallocation(newmat,bs,0,dlens,0,odlens);CHKERRQ(ierr);
2663   ierr = MatSetOption(newmat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
2664 
2665   if (!rank) {
2666     ierr = PetscMalloc1(maxnz,&buf);CHKERRQ(ierr);
2667     /* read in my part of the matrix numerical values  */
2668     nz     = procsnz[0];
2669     vals   = buf;
2670     mycols = ibuf;
2671     if (size == 1) nz -= extra_rows;
2672     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2673     if (size == 1) {
2674       for (i=0; i< extra_rows; i++) vals[nz+i] = 1.0;
2675     }
2676 
2677     /* insert into matrix */
2678     jj = rstart*bs;
2679     for (i=0; i<m; i++) {
2680       ierr    = MatSetValues(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2681       mycols += locrowlens[i];
2682       vals   += locrowlens[i];
2683       jj++;
2684     }
2685 
2686     /* read in other processors (except the last one) and ship out */
2687     for (i=1; i<size-1; i++) {
2688       nz   = procsnz[i];
2689       vals = buf;
2690       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2691       ierr = MPI_Send(vals,nz,MPIU_SCALAR,i,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
2692     }
2693     /* the last proc */
2694     if (size != 1) {
2695       nz   = procsnz[i] - extra_rows;
2696       vals = buf;
2697       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2698       for (i=0; i<extra_rows; i++) vals[nz+i] = 1.0;
2699       ierr = MPI_Send(vals,nz+extra_rows,MPIU_SCALAR,size-1,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
2700     }
2701     ierr = PetscFree(procsnz);CHKERRQ(ierr);
2702 
2703   } else {
2704     /* receive numeric values */
2705     ierr = PetscMalloc1(nz,&buf);CHKERRQ(ierr);
2706 
2707     /* receive message of values*/
2708     vals   = buf;
2709     mycols = ibuf;
2710     ierr   = MPI_Recv(vals,nz,MPIU_SCALAR,0,((PetscObject)newmat)->tag,comm,&status);CHKERRQ(ierr);
2711     ierr   = MPI_Get_count(&status,MPIU_SCALAR,&maxnz);CHKERRQ(ierr);
2712     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2713 
2714     /* insert into matrix */
2715     jj = rstart*bs;
2716     for (i=0; i<m; i++) {
2717       ierr    = MatSetValues_MPISBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2718       mycols += locrowlens[i];
2719       vals   += locrowlens[i];
2720       jj++;
2721     }
2722   }
2723 
2724   ierr = PetscFree(locrowlens);CHKERRQ(ierr);
2725   ierr = PetscFree(buf);CHKERRQ(ierr);
2726   ierr = PetscFree(ibuf);CHKERRQ(ierr);
2727   ierr = PetscFree2(rowners,browners);CHKERRQ(ierr);
2728   ierr = PetscFree2(dlens,odlens);CHKERRQ(ierr);
2729   ierr = PetscFree3(mask,masked1,masked2);CHKERRQ(ierr);
2730   ierr = MatAssemblyBegin(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2731   ierr = MatAssemblyEnd(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2732   PetscFunctionReturn(0);
2733 }
2734 
2735 #undef __FUNCT__
2736 #define __FUNCT__ "MatMPISBAIJSetHashTableFactor"
2737 /*XXXXX@
2738    MatMPISBAIJSetHashTableFactor - Sets the factor required to compute the size of the HashTable.
2739 
2740    Input Parameters:
2741 .  mat  - the matrix
2742 .  fact - factor
2743 
2744    Not Collective on Mat, each process can have a different hash factor
2745 
2746    Level: advanced
2747 
2748   Notes:
2749    This can also be set by the command line option: -mat_use_hash_table fact
2750 
2751 .keywords: matrix, hashtable, factor, HT
2752 
2753 .seealso: MatSetOption()
2754 @XXXXX*/
2755 
2756 
2757 #undef __FUNCT__
2758 #define __FUNCT__ "MatGetRowMaxAbs_MPISBAIJ"
2759 PetscErrorCode MatGetRowMaxAbs_MPISBAIJ(Mat A,Vec v,PetscInt idx[])
2760 {
2761   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
2762   Mat_SeqBAIJ    *b = (Mat_SeqBAIJ*)(a->B)->data;
2763   PetscReal      atmp;
2764   PetscReal      *work,*svalues,*rvalues;
2765   PetscErrorCode ierr;
2766   PetscInt       i,bs,mbs,*bi,*bj,brow,j,ncols,krow,kcol,col,row,Mbs,bcol;
2767   PetscMPIInt    rank,size;
2768   PetscInt       *rowners_bs,dest,count,source;
2769   PetscScalar    *va;
2770   MatScalar      *ba;
2771   MPI_Status     stat;
2772 
2773   PetscFunctionBegin;
2774   if (idx) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Send email to petsc-maint@mcs.anl.gov");
2775   ierr = MatGetRowMaxAbs(a->A,v,NULL);CHKERRQ(ierr);
2776   ierr = VecGetArray(v,&va);CHKERRQ(ierr);
2777 
2778   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&size);CHKERRQ(ierr);
2779   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A),&rank);CHKERRQ(ierr);
2780 
2781   bs  = A->rmap->bs;
2782   mbs = a->mbs;
2783   Mbs = a->Mbs;
2784   ba  = b->a;
2785   bi  = b->i;
2786   bj  = b->j;
2787 
2788   /* find ownerships */
2789   rowners_bs = A->rmap->range;
2790 
2791   /* each proc creates an array to be distributed */
2792   ierr = PetscMalloc1(bs*Mbs,&work);CHKERRQ(ierr);
2793   ierr = PetscMemzero(work,bs*Mbs*sizeof(PetscReal));CHKERRQ(ierr);
2794 
2795   /* row_max for B */
2796   if (rank != size-1) {
2797     for (i=0; i<mbs; i++) {
2798       ncols = bi[1] - bi[0]; bi++;
2799       brow  = bs*i;
2800       for (j=0; j<ncols; j++) {
2801         bcol = bs*(*bj);
2802         for (kcol=0; kcol<bs; kcol++) {
2803           col  = bcol + kcol;                /* local col index */
2804           col += rowners_bs[rank+1];      /* global col index */
2805           for (krow=0; krow<bs; krow++) {
2806             atmp = PetscAbsScalar(*ba); ba++;
2807             row  = brow + krow;   /* local row index */
2808             if (PetscRealPart(va[row]) < atmp) va[row] = atmp;
2809             if (work[col] < atmp) work[col] = atmp;
2810           }
2811         }
2812         bj++;
2813       }
2814     }
2815 
2816     /* send values to its owners */
2817     for (dest=rank+1; dest<size; dest++) {
2818       svalues = work + rowners_bs[dest];
2819       count   = rowners_bs[dest+1]-rowners_bs[dest];
2820       ierr    = MPI_Send(svalues,count,MPIU_REAL,dest,rank,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2821     }
2822   }
2823 
2824   /* receive values */
2825   if (rank) {
2826     rvalues = work;
2827     count   = rowners_bs[rank+1]-rowners_bs[rank];
2828     for (source=0; source<rank; source++) {
2829       ierr = MPI_Recv(rvalues,count,MPIU_REAL,MPI_ANY_SOURCE,MPI_ANY_TAG,PetscObjectComm((PetscObject)A),&stat);CHKERRQ(ierr);
2830       /* process values */
2831       for (i=0; i<count; i++) {
2832         if (PetscRealPart(va[i]) < rvalues[i]) va[i] = rvalues[i];
2833       }
2834     }
2835   }
2836 
2837   ierr = VecRestoreArray(v,&va);CHKERRQ(ierr);
2838   ierr = PetscFree(work);CHKERRQ(ierr);
2839   PetscFunctionReturn(0);
2840 }
2841 
2842 #undef __FUNCT__
2843 #define __FUNCT__ "MatSOR_MPISBAIJ"
2844 PetscErrorCode MatSOR_MPISBAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2845 {
2846   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)matin->data;
2847   PetscErrorCode    ierr;
2848   PetscInt          mbs=mat->mbs,bs=matin->rmap->bs;
2849   PetscScalar       *x,*ptr,*from;
2850   Vec               bb1;
2851   const PetscScalar *b;
2852 
2853   PetscFunctionBegin;
2854   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);
2855   if (bs > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2856 
2857   if (flag == SOR_APPLY_UPPER) {
2858     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2859     PetscFunctionReturn(0);
2860   }
2861 
2862   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
2863     if (flag & SOR_ZERO_INITIAL_GUESS) {
2864       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2865       its--;
2866     }
2867 
2868     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2869     while (its--) {
2870 
2871       /* lower triangular part: slvec0b = - B^T*xx */
2872       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2873 
2874       /* copy xx into slvec0a */
2875       ierr = VecGetArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2876       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2877       ierr = PetscMemcpy(ptr,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2878       ierr = VecRestoreArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2879 
2880       ierr = VecScale(mat->slvec0,-1.0);CHKERRQ(ierr);
2881 
2882       /* copy bb into slvec1a */
2883       ierr = VecGetArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2884       ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
2885       ierr = PetscMemcpy(ptr,b,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2886       ierr = VecRestoreArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2887 
2888       /* set slvec1b = 0 */
2889       ierr = VecSet(mat->slvec1b,0.0);CHKERRQ(ierr);
2890 
2891       ierr = VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2892       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2893       ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
2894       ierr = VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2895 
2896       /* upper triangular part: bb1 = bb1 - B*x */
2897       ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,bb1);CHKERRQ(ierr);
2898 
2899       /* local diagonal sweep */
2900       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
2901     }
2902     ierr = VecDestroy(&bb1);CHKERRQ(ierr);
2903   } else if ((flag & SOR_LOCAL_FORWARD_SWEEP) && (its == 1) && (flag & SOR_ZERO_INITIAL_GUESS)) {
2904     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2905   } else if ((flag & SOR_LOCAL_BACKWARD_SWEEP) && (its == 1) && (flag & SOR_ZERO_INITIAL_GUESS)) {
2906     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2907   } else if (flag & SOR_EISENSTAT) {
2908     Vec               xx1;
2909     PetscBool         hasop;
2910     const PetscScalar *diag;
2911     PetscScalar       *sl,scale = (omega - 2.0)/omega;
2912     PetscInt          i,n;
2913 
2914     if (!mat->xx1) {
2915       ierr = VecDuplicate(bb,&mat->xx1);CHKERRQ(ierr);
2916       ierr = VecDuplicate(bb,&mat->bb1);CHKERRQ(ierr);
2917     }
2918     xx1 = mat->xx1;
2919     bb1 = mat->bb1;
2920 
2921     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,(MatSORType)(SOR_ZERO_INITIAL_GUESS | SOR_LOCAL_BACKWARD_SWEEP),fshift,lits,1,xx);CHKERRQ(ierr);
2922 
2923     if (!mat->diag) {
2924       /* this is wrong for same matrix with new nonzero values */
2925       ierr = MatCreateVecs(matin,&mat->diag,NULL);CHKERRQ(ierr);
2926       ierr = MatGetDiagonal(matin,mat->diag);CHKERRQ(ierr);
2927     }
2928     ierr = MatHasOperation(matin,MATOP_MULT_DIAGONAL_BLOCK,&hasop);CHKERRQ(ierr);
2929 
2930     if (hasop) {
2931       ierr = MatMultDiagonalBlock(matin,xx,bb1);CHKERRQ(ierr);
2932       ierr = VecAYPX(mat->slvec1a,scale,bb);CHKERRQ(ierr);
2933     } else {
2934       /*
2935           These two lines are replaced by code that may be a bit faster for a good compiler
2936       ierr = VecPointwiseMult(mat->slvec1a,mat->diag,xx);CHKERRQ(ierr);
2937       ierr = VecAYPX(mat->slvec1a,scale,bb);CHKERRQ(ierr);
2938       */
2939       ierr = VecGetArray(mat->slvec1a,&sl);CHKERRQ(ierr);
2940       ierr = VecGetArrayRead(mat->diag,&diag);CHKERRQ(ierr);
2941       ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
2942       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2943       ierr = VecGetLocalSize(xx,&n);CHKERRQ(ierr);
2944       if (omega == 1.0) {
2945         for (i=0; i<n; i++) sl[i] = b[i] - diag[i]*x[i];
2946         ierr = PetscLogFlops(2.0*n);CHKERRQ(ierr);
2947       } else {
2948         for (i=0; i<n; i++) sl[i] = b[i] + scale*diag[i]*x[i];
2949         ierr = PetscLogFlops(3.0*n);CHKERRQ(ierr);
2950       }
2951       ierr = VecRestoreArray(mat->slvec1a,&sl);CHKERRQ(ierr);
2952       ierr = VecRestoreArrayRead(mat->diag,&diag);CHKERRQ(ierr);
2953       ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
2954       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2955     }
2956 
2957     /* multiply off-diagonal portion of matrix */
2958     ierr = VecSet(mat->slvec1b,0.0);CHKERRQ(ierr);
2959     ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2960     ierr = VecGetArray(mat->slvec0,&from);CHKERRQ(ierr);
2961     ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2962     ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2963     ierr = VecRestoreArray(mat->slvec0,&from);CHKERRQ(ierr);
2964     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2965     ierr = VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2966     ierr = VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2967     ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,mat->slvec1a);CHKERRQ(ierr);
2968 
2969     /* local sweep */
2970     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);
2971     ierr = VecAXPY(xx,1.0,xx1);CHKERRQ(ierr);
2972   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
2973   PetscFunctionReturn(0);
2974 }
2975 
2976 #undef __FUNCT__
2977 #define __FUNCT__ "MatSOR_MPISBAIJ_2comm"
2978 PetscErrorCode MatSOR_MPISBAIJ_2comm(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2979 {
2980   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
2981   PetscErrorCode ierr;
2982   Vec            lvec1,bb1;
2983 
2984   PetscFunctionBegin;
2985   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);
2986   if (matin->rmap->bs > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2987 
2988   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
2989     if (flag & SOR_ZERO_INITIAL_GUESS) {
2990       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2991       its--;
2992     }
2993 
2994     ierr = VecDuplicate(mat->lvec,&lvec1);CHKERRQ(ierr);
2995     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2996     while (its--) {
2997       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2998 
2999       /* lower diagonal part: bb1 = bb - B^T*xx */
3000       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,lvec1);CHKERRQ(ierr);
3001       ierr = VecScale(lvec1,-1.0);CHKERRQ(ierr);
3002 
3003       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
3004       ierr = VecCopy(bb,bb1);CHKERRQ(ierr);
3005       ierr = VecScatterBegin(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
3006 
3007       /* upper diagonal part: bb1 = bb1 - B*x */
3008       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
3009       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb1,bb1);CHKERRQ(ierr);
3010 
3011       ierr = VecScatterEnd(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
3012 
3013       /* diagonal sweep */
3014       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
3015     }
3016     ierr = VecDestroy(&lvec1);CHKERRQ(ierr);
3017     ierr = VecDestroy(&bb1);CHKERRQ(ierr);
3018   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
3019   PetscFunctionReturn(0);
3020 }
3021 
3022 #undef __FUNCT__
3023 #define __FUNCT__ "MatCreateMPISBAIJWithArrays"
3024 /*@
3025      MatCreateMPISBAIJWithArrays - creates a MPI SBAIJ matrix using arrays that contain in standard
3026          CSR format the local rows.
3027 
3028    Collective on MPI_Comm
3029 
3030    Input Parameters:
3031 +  comm - MPI communicator
3032 .  bs - the block size, only a block size of 1 is supported
3033 .  m - number of local rows (Cannot be PETSC_DECIDE)
3034 .  n - This value should be the same as the local size used in creating the
3035        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
3036        calculated if N is given) For square matrices n is almost always m.
3037 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
3038 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
3039 .   i - row indices
3040 .   j - column indices
3041 -   a - matrix values
3042 
3043    Output Parameter:
3044 .   mat - the matrix
3045 
3046    Level: intermediate
3047 
3048    Notes:
3049        The i, j, and a arrays ARE copied by this routine into the internal format used by PETSc;
3050      thus you CANNOT change the matrix entries by changing the values of a[] after you have
3051      called this routine. Use MatCreateMPIAIJWithSplitArrays() to avoid needing to copy the arrays.
3052 
3053        The i and j indices are 0 based, and i indices are indices corresponding to the local j array.
3054 
3055 .keywords: matrix, aij, compressed row, sparse, parallel
3056 
3057 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
3058           MPIAIJ, MatCreateAIJ(), MatCreateMPIAIJWithSplitArrays()
3059 @*/
3060 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)
3061 {
3062   PetscErrorCode ierr;
3063 
3064 
3065   PetscFunctionBegin;
3066   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
3067   if (m < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"local number of rows (m) cannot be PETSC_DECIDE, or negative");
3068   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
3069   ierr = MatSetSizes(*mat,m,n,M,N);CHKERRQ(ierr);
3070   ierr = MatSetType(*mat,MATMPISBAIJ);CHKERRQ(ierr);
3071   ierr = MatMPISBAIJSetPreallocationCSR(*mat,bs,i,j,a);CHKERRQ(ierr);
3072   PetscFunctionReturn(0);
3073 }
3074 
3075 
3076 #undef __FUNCT__
3077 #define __FUNCT__ "MatMPISBAIJSetPreallocationCSR"
3078 /*@C
3079    MatMPISBAIJSetPreallocationCSR - Allocates memory for a sparse parallel matrix in BAIJ format
3080    (the default parallel PETSc format).
3081 
3082    Collective on MPI_Comm
3083 
3084    Input Parameters:
3085 +  B - the matrix
3086 .  bs - the block size
3087 .  i - the indices into j for the start of each local row (starts with zero)
3088 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
3089 -  v - optional values in the matrix
3090 
3091    Level: developer
3092 
3093 .keywords: matrix, aij, compressed row, sparse, parallel
3094 
3095 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIBAIJSetPreallocation(), MatCreateAIJ(), MPIAIJ
3096 @*/
3097 PetscErrorCode  MatMPISBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
3098 {
3099   PetscErrorCode ierr;
3100 
3101   PetscFunctionBegin;
3102   ierr = PetscTryMethod(B,"MatMPISBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));CHKERRQ(ierr);
3103   PetscFunctionReturn(0);
3104 }
3105 
3106 #undef __FUNCT__
3107 #define __FUNCT__ "MatCreateMPIMatConcatenateSeqMat_MPISBAIJ"
3108 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_MPISBAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
3109 {
3110   PetscErrorCode ierr;
3111   PetscInt       m,N,i,rstart,nnz,Ii,bs,cbs;
3112   PetscInt       *indx;
3113   PetscScalar    *values;
3114 
3115   PetscFunctionBegin;
3116   ierr = MatGetSize(inmat,&m,&N);CHKERRQ(ierr);
3117   if (scall == MAT_INITIAL_MATRIX) { /* symbolic phase */
3118     Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)inmat->data;
3119     PetscInt       *dnz,*onz,sum,bs,cbs,mbs,Nbs;
3120     PetscInt       *bindx,rmax=a->rmax,j;
3121 
3122     ierr = MatGetBlockSizes(inmat,&bs,&cbs);CHKERRQ(ierr);
3123     mbs = m/bs; Nbs = N/cbs;
3124     if (n == PETSC_DECIDE) {
3125       ierr = PetscSplitOwnership(comm,&n,&Nbs);CHKERRQ(ierr);
3126     }
3127     /* Check sum(n) = Nbs */
3128     ierr = MPI_Allreduce(&n,&sum,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
3129     if (sum != Nbs) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Sum of local columns != global columns %d",Nbs);
3130 
3131     ierr    = MPI_Scan(&mbs, &rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
3132     rstart -= mbs;
3133 
3134     ierr = PetscMalloc1(rmax,&bindx);CHKERRQ(ierr);
3135     ierr = MatPreallocateInitialize(comm,mbs,n,dnz,onz);CHKERRQ(ierr);
3136     ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
3137     for (i=0; i<mbs; i++) {
3138       ierr = MatGetRow_SeqSBAIJ(inmat,i*bs,&nnz,&indx,NULL);CHKERRQ(ierr); /* non-blocked nnz and indx */
3139       nnz = nnz/bs;
3140       for (j=0; j<nnz; j++) bindx[j] = indx[j*bs]/bs;
3141       ierr = MatPreallocateSet(i+rstart,nnz,bindx,dnz,onz);CHKERRQ(ierr);
3142       ierr = MatRestoreRow_SeqSBAIJ(inmat,i*bs,&nnz,&indx,NULL);CHKERRQ(ierr);
3143     }
3144     ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_FALSE);CHKERRQ(ierr);
3145     ierr = PetscFree(bindx);CHKERRQ(ierr);
3146 
3147     ierr = MatCreate(comm,outmat);CHKERRQ(ierr);
3148     ierr = MatSetSizes(*outmat,m,n*bs,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
3149     ierr = MatSetBlockSizes(*outmat,bs,cbs);CHKERRQ(ierr);
3150     ierr = MatSetType(*outmat,MATMPISBAIJ);CHKERRQ(ierr);
3151     ierr = MatMPISBAIJSetPreallocation(*outmat,bs,0,dnz,0,onz);CHKERRQ(ierr);
3152     ierr = MatPreallocateFinalize(dnz,onz);CHKERRQ(ierr);
3153   }
3154 
3155   /* numeric phase */
3156   ierr = MatGetBlockSizes(inmat,&bs,&cbs);CHKERRQ(ierr);
3157   ierr = MatGetOwnershipRange(*outmat,&rstart,NULL);CHKERRQ(ierr);
3158 
3159   ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
3160   for (i=0; i<m; i++) {
3161     ierr = MatGetRow_SeqSBAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
3162     Ii   = i + rstart;
3163     ierr = MatSetValues(*outmat,1,&Ii,nnz,indx,values,INSERT_VALUES);CHKERRQ(ierr);
3164     ierr = MatRestoreRow_SeqSBAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
3165   }
3166   ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_FALSE);CHKERRQ(ierr);
3167   ierr = MatAssemblyBegin(*outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3168   ierr = MatAssemblyEnd(*outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3169   PetscFunctionReturn(0);
3170 }
3171