xref: /petsc/src/mat/impls/sbaij/mpi/mpisbaij.c (revision fba77e201f7e04bdb29755266e71eb546b1bb6b1)
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 extern PetscErrorCode MatSetUpMultiply_MPISBAIJ(Mat);
8 extern PetscErrorCode MatSetUpMultiply_MPISBAIJ_2comm(Mat);
9 extern PetscErrorCode DisAssemble_MPISBAIJ(Mat);
10 extern PetscErrorCode MatIncreaseOverlap_MPISBAIJ(Mat,PetscInt,IS[],PetscInt);
11 extern PetscErrorCode MatGetValues_SeqSBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar []);
12 extern PetscErrorCode MatGetValues_SeqBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar []);
13 extern PetscErrorCode MatSetValues_SeqSBAIJ(Mat,PetscInt,const PetscInt [],PetscInt,const PetscInt [],const PetscScalar [],InsertMode);
14 extern PetscErrorCode MatSetValuesBlocked_SeqSBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
15 extern PetscErrorCode MatSetValuesBlocked_SeqBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
16 extern PetscErrorCode MatGetRow_SeqSBAIJ(Mat,PetscInt,PetscInt*,PetscInt**,PetscScalar**);
17 extern PetscErrorCode MatRestoreRow_SeqSBAIJ(Mat,PetscInt,PetscInt*,PetscInt**,PetscScalar**);
18 extern PetscErrorCode MatZeroRows_SeqSBAIJ(Mat,IS,PetscScalar*,Vec,Vec);
19 extern PetscErrorCode MatZeroRows_SeqBAIJ(Mat,IS,PetscScalar *,Vec,Vec);
20 extern PetscErrorCode MatGetRowMaxAbs_MPISBAIJ(Mat,Vec,PetscInt[]);
21 extern PetscErrorCode MatSOR_MPISBAIJ(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
22 
23 EXTERN_C_BEGIN
24 #undef __FUNCT__
25 #define __FUNCT__ "MatStoreValues_MPISBAIJ"
26 PetscErrorCode  MatStoreValues_MPISBAIJ(Mat mat)
27 {
28   Mat_MPISBAIJ   *aij = (Mat_MPISBAIJ *)mat->data;
29   PetscErrorCode ierr;
30 
31   PetscFunctionBegin;
32   ierr = MatStoreValues(aij->A);CHKERRQ(ierr);
33   ierr = MatStoreValues(aij->B);CHKERRQ(ierr);
34   PetscFunctionReturn(0);
35 }
36 EXTERN_C_END
37 
38 EXTERN_C_BEGIN
39 #undef __FUNCT__
40 #define __FUNCT__ "MatRetrieveValues_MPISBAIJ"
41 PetscErrorCode  MatRetrieveValues_MPISBAIJ(Mat mat)
42 {
43   Mat_MPISBAIJ   *aij = (Mat_MPISBAIJ *)mat->data;
44   PetscErrorCode ierr;
45 
46   PetscFunctionBegin;
47   ierr = MatRetrieveValues(aij->A);CHKERRQ(ierr);
48   ierr = MatRetrieveValues(aij->B);CHKERRQ(ierr);
49   PetscFunctionReturn(0);
50 }
51 EXTERN_C_END
52 
53 
54 #define  MatSetValues_SeqSBAIJ_A_Private(row,col,value,addv) \
55 { \
56  \
57     brow = row/bs;  \
58     rp   = aj + ai[brow]; ap = aa + bs2*ai[brow]; \
59     rmax = aimax[brow]; nrow = ailen[brow]; \
60       bcol = col/bs; \
61       ridx = row % bs; cidx = col % bs; \
62       low = 0; high = nrow; \
63       while (high-low > 3) { \
64         t = (low+high)/2; \
65         if (rp[t] > bcol) high = t; \
66         else              low  = t; \
67       } \
68       for (_i=low; _i<high; _i++) { \
69         if (rp[_i] > bcol) break; \
70         if (rp[_i] == bcol) { \
71           bap  = ap +  bs2*_i + bs*cidx + ridx; \
72           if (addv == ADD_VALUES) *bap += value;  \
73           else                    *bap  = value;  \
74           goto a_noinsert; \
75         } \
76       } \
77       if (a->nonew == 1) goto a_noinsert; \
78       if (a->nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", row, col); \
79       MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,aimax,a->nonew,MatScalar); \
80       N = nrow++ - 1;  \
81       /* shift up all the later entries in this row */ \
82       for (ii=N; ii>=_i; ii--) { \
83         rp[ii+1] = rp[ii]; \
84         ierr = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
85       } \
86       if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr); }  \
87       rp[_i]                      = bcol;  \
88       ap[bs2*_i + bs*cidx + ridx] = value;  \
89       a_noinsert:; \
90     ailen[brow] = nrow; \
91 }
92 
93 #define  MatSetValues_SeqSBAIJ_B_Private(row,col,value,addv) \
94 { \
95     brow = row/bs;  \
96     rp   = bj + bi[brow]; ap = ba + bs2*bi[brow]; \
97     rmax = bimax[brow]; nrow = bilen[brow]; \
98       bcol = col/bs; \
99       ridx = row % bs; cidx = col % bs; \
100       low = 0; high = nrow; \
101       while (high-low > 3) { \
102         t = (low+high)/2; \
103         if (rp[t] > bcol) high = t; \
104         else              low  = t; \
105       } \
106       for (_i=low; _i<high; _i++) { \
107         if (rp[_i] > bcol) break; \
108         if (rp[_i] == bcol) { \
109           bap  = ap +  bs2*_i + bs*cidx + ridx; \
110           if (addv == ADD_VALUES) *bap += value;  \
111           else                    *bap  = value;  \
112           goto b_noinsert; \
113         } \
114       } \
115       if (b->nonew == 1) goto b_noinsert; \
116       if (b->nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", row, col); \
117       MatSeqXAIJReallocateAIJ(B,b->mbs,bs2,nrow,brow,bcol,rmax,ba,bi,bj,rp,ap,bimax,b->nonew,MatScalar); \
118       N = nrow++ - 1;  \
119       /* shift up all the later entries in this row */ \
120       for (ii=N; ii>=_i; ii--) { \
121         rp[ii+1] = rp[ii]; \
122         ierr = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
123       } \
124       if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr);}  \
125       rp[_i]                      = bcol;  \
126       ap[bs2*_i + bs*cidx + ridx] = value;  \
127       b_noinsert:; \
128     bilen[brow] = nrow; \
129 }
130 
131 /* Only add/insert a(i,j) with i<=j (blocks).
132    Any a(i,j) with i>j input by user is ingored.
133 */
134 #undef __FUNCT__
135 #define __FUNCT__ "MatSetValues_MPISBAIJ"
136 PetscErrorCode MatSetValues_MPISBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
137 {
138   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
139   MatScalar      value;
140   PetscBool      roworiented = baij->roworiented;
141   PetscErrorCode ierr;
142   PetscInt       i,j,row,col;
143   PetscInt       rstart_orig=mat->rmap->rstart;
144   PetscInt       rend_orig=mat->rmap->rend,cstart_orig=mat->cmap->rstart;
145   PetscInt       cend_orig=mat->cmap->rend,bs=mat->rmap->bs;
146 
147   /* Some Variables required in the macro */
148   Mat            A = baij->A;
149   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)(A)->data;
150   PetscInt       *aimax=a->imax,*ai=a->i,*ailen=a->ilen,*aj=a->j;
151   MatScalar      *aa=a->a;
152 
153   Mat            B = baij->B;
154   Mat_SeqBAIJ   *b = (Mat_SeqBAIJ*)(B)->data;
155   PetscInt      *bimax=b->imax,*bi=b->i,*bilen=b->ilen,*bj=b->j;
156   MatScalar     *ba=b->a;
157 
158   PetscInt      *rp,ii,nrow,_i,rmax,N,brow,bcol;
159   PetscInt      low,high,t,ridx,cidx,bs2=a->bs2;
160   MatScalar     *ap,*bap;
161 
162   /* for stash */
163   PetscInt      n_loc, *in_loc = PETSC_NULL;
164   MatScalar     *v_loc = PETSC_NULL;
165 
166   PetscFunctionBegin;
167   if (v) PetscValidScalarPointer(v,6);
168   if (!baij->donotstash){
169     if (n > baij->n_loc) {
170       ierr = PetscFree(baij->in_loc);CHKERRQ(ierr);
171       ierr = PetscFree(baij->v_loc);CHKERRQ(ierr);
172       ierr = PetscMalloc(n*sizeof(PetscInt),&baij->in_loc);CHKERRQ(ierr);
173       ierr = PetscMalloc(n*sizeof(MatScalar),&baij->v_loc);CHKERRQ(ierr);
174       baij->n_loc = n;
175     }
176     in_loc = baij->in_loc;
177     v_loc  = baij->v_loc;
178   }
179 
180   for (i=0; i<m; i++) {
181     if (im[i] < 0) continue;
182 #if defined(PETSC_USE_DEBUG)
183     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);
184 #endif
185     if (im[i] >= rstart_orig && im[i] < rend_orig) { /* this processor entry */
186       row = im[i] - rstart_orig;              /* local row index */
187       for (j=0; j<n; j++) {
188         if (im[i]/bs > in[j]/bs){
189           if (a->ignore_ltriangular){
190             continue;    /* ignore lower triangular blocks */
191           } else {
192             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)");
193           }
194         }
195         if (in[j] >= cstart_orig && in[j] < cend_orig){  /* diag entry (A) */
196           col = in[j] - cstart_orig;          /* local col index */
197           brow = row/bs; bcol = col/bs;
198           if (brow > bcol) continue;  /* ignore lower triangular blocks of A */
199           if (roworiented) value = v[i*n+j]; else value = v[i+j*m];
200           MatSetValues_SeqSBAIJ_A_Private(row,col,value,addv);
201           /* ierr = MatSetValues_SeqBAIJ(baij->A,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
202         } else if (in[j] < 0) continue;
203 #if defined(PETSC_USE_DEBUG)
204         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);
205 #endif
206         else {  /* off-diag entry (B) */
207           if (mat->was_assembled) {
208             if (!baij->colmap) {
209               ierr = CreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
210             }
211 #if defined (PETSC_USE_CTABLE)
212             ierr = PetscTableFind(baij->colmap,in[j]/bs + 1,&col);CHKERRQ(ierr);
213             col  = col - 1;
214 #else
215             col = baij->colmap[in[j]/bs] - 1;
216 #endif
217             if (col < 0 && !((Mat_SeqSBAIJ*)(baij->A->data))->nonew) {
218               ierr = DisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
219               col =  in[j];
220               /* Reinitialize the variables required by MatSetValues_SeqBAIJ_B_Private() */
221               B = baij->B;
222               b = (Mat_SeqBAIJ*)(B)->data;
223               bimax=b->imax;bi=b->i;bilen=b->ilen;bj=b->j;
224               ba=b->a;
225             } else col += in[j]%bs;
226           } else col = in[j];
227           if (roworiented) value = v[i*n+j]; else value = v[i+j*m];
228           MatSetValues_SeqSBAIJ_B_Private(row,col,value,addv);
229           /* ierr = MatSetValues_SeqBAIJ(baij->B,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
230         }
231       }
232     } else {  /* off processor entry */
233       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]);
234       if (!baij->donotstash) {
235         n_loc = 0;
236         for (j=0; j<n; j++){
237           if (im[i]/bs > in[j]/bs) continue; /* ignore lower triangular blocks */
238           in_loc[n_loc] = in[j];
239           if (roworiented) {
240             v_loc[n_loc] = v[i*n+j];
241           } else {
242             v_loc[n_loc] = v[j*m+i];
243           }
244           n_loc++;
245         }
246         ierr = MatStashValuesRow_Private(&mat->stash,im[i],n_loc,in_loc,v_loc,PETSC_FALSE);CHKERRQ(ierr);
247       }
248     }
249   }
250   PetscFunctionReturn(0);
251 }
252 
253 #undef __FUNCT__
254 #define __FUNCT__ "MatSetValuesBlocked_MPISBAIJ"
255 PetscErrorCode MatSetValuesBlocked_MPISBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const MatScalar v[],InsertMode addv)
256 {
257   Mat_MPISBAIJ    *baij = (Mat_MPISBAIJ*)mat->data;
258   const MatScalar *value;
259   MatScalar       *barray=baij->barray;
260   PetscBool       roworiented = baij->roworiented,ignore_ltriangular = ((Mat_SeqSBAIJ*)baij->A->data)->ignore_ltriangular;
261   PetscErrorCode  ierr;
262   PetscInt        i,j,ii,jj,row,col,rstart=baij->rstartbs;
263   PetscInt        rend=baij->rendbs,cstart=baij->rstartbs,stepval;
264   PetscInt        cend=baij->rendbs,bs=mat->rmap->bs,bs2=baij->bs2;
265 
266   PetscFunctionBegin;
267   if(!barray) {
268     ierr         = PetscMalloc(bs2*sizeof(MatScalar),&barray);CHKERRQ(ierr);
269     baij->barray = barray;
270   }
271 
272   if (roworiented) {
273     stepval = (n-1)*bs;
274   } else {
275     stepval = (m-1)*bs;
276   }
277   for (i=0; i<m; i++) {
278     if (im[i] < 0) continue;
279 #if defined(PETSC_USE_DEBUG)
280     if (im[i] >= baij->Mbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large, row %D max %D",im[i],baij->Mbs-1);
281 #endif
282     if (im[i] >= rstart && im[i] < rend) {
283       row = im[i] - rstart;
284       for (j=0; j<n; j++) {
285         if (im[i] > in[j]) {
286           if (ignore_ltriangular) continue; /* ignore lower triangular blocks */
287           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)");
288         }
289         /* If NumCol = 1 then a copy is not required */
290         if ((roworiented) && (n == 1)) {
291           barray = (MatScalar*) v + i*bs2;
292         } else if((!roworiented) && (m == 1)) {
293           barray = (MatScalar*) v + j*bs2;
294         } else { /* Here a copy is required */
295           if (roworiented) {
296             value = v + i*(stepval+bs)*bs + j*bs;
297           } else {
298             value = v + j*(stepval+bs)*bs + i*bs;
299           }
300           for (ii=0; ii<bs; ii++,value+=stepval) {
301             for (jj=0; jj<bs; jj++) {
302               *barray++  = *value++;
303             }
304           }
305           barray -=bs2;
306         }
307 
308         if (in[j] >= cstart && in[j] < cend){
309           col  = in[j] - cstart;
310           ierr = MatSetValuesBlocked_SeqSBAIJ(baij->A,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
311         }
312         else if (in[j] < 0) continue;
313 #if defined(PETSC_USE_DEBUG)
314         else if (in[j] >= baij->Nbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large, col %D max %D",in[j],baij->Nbs-1);
315 #endif
316         else {
317           if (mat->was_assembled) {
318             if (!baij->colmap) {
319               ierr = CreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
320             }
321 
322 #if defined(PETSC_USE_DEBUG)
323 #if defined (PETSC_USE_CTABLE)
324             { PetscInt data;
325               ierr = PetscTableFind(baij->colmap,in[j]+1,&data);CHKERRQ(ierr);
326               if ((data - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
327             }
328 #else
329             if ((baij->colmap[in[j]] - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
330 #endif
331 #endif
332 #if defined (PETSC_USE_CTABLE)
333 	    ierr = PetscTableFind(baij->colmap,in[j]+1,&col);CHKERRQ(ierr);
334             col  = (col - 1)/bs;
335 #else
336             col = (baij->colmap[in[j]] - 1)/bs;
337 #endif
338             if (col < 0 && !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
339               ierr = DisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
340               col =  in[j];
341             }
342           }
343           else col = in[j];
344           ierr = MatSetValuesBlocked_SeqBAIJ(baij->B,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
345         }
346       }
347     } else {
348       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]);
349       if (!baij->donotstash) {
350         if (roworiented) {
351           ierr = MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
352         } else {
353           ierr = MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
354         }
355       }
356     }
357   }
358   PetscFunctionReturn(0);
359 }
360 
361 #undef __FUNCT__
362 #define __FUNCT__ "MatGetValues_MPISBAIJ"
363 PetscErrorCode MatGetValues_MPISBAIJ(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],PetscScalar v[])
364 {
365   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
366   PetscErrorCode ierr;
367   PetscInt       bs=mat->rmap->bs,i,j,bsrstart = mat->rmap->rstart,bsrend = mat->rmap->rend;
368   PetscInt       bscstart = mat->cmap->rstart,bscend = mat->cmap->rend,row,col,data;
369 
370   PetscFunctionBegin;
371   for (i=0; i<m; i++) {
372     if (idxm[i] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",idxm[i]); */
373     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);
374     if (idxm[i] >= bsrstart && idxm[i] < bsrend) {
375       row = idxm[i] - bsrstart;
376       for (j=0; j<n; j++) {
377         if (idxn[j] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column %D",idxn[j]); */
378         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);
379         if (idxn[j] >= bscstart && idxn[j] < bscend){
380           col = idxn[j] - bscstart;
381           ierr = MatGetValues_SeqSBAIJ(baij->A,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
382         } else {
383           if (!baij->colmap) {
384             ierr = CreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
385           }
386 #if defined (PETSC_USE_CTABLE)
387           ierr = PetscTableFind(baij->colmap,idxn[j]/bs+1,&data);CHKERRQ(ierr);
388           data --;
389 #else
390           data = baij->colmap[idxn[j]/bs]-1;
391 #endif
392           if((data < 0) || (baij->garray[data/bs] != idxn[j]/bs)) *(v+i*n+j) = 0.0;
393           else {
394             col  = data + idxn[j]%bs;
395             ierr = MatGetValues_SeqBAIJ(baij->B,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
396           }
397         }
398       }
399     } else {
400       SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local values currently supported");
401     }
402   }
403  PetscFunctionReturn(0);
404 }
405 
406 #undef __FUNCT__
407 #define __FUNCT__ "MatNorm_MPISBAIJ"
408 PetscErrorCode MatNorm_MPISBAIJ(Mat mat,NormType type,PetscReal *norm)
409 {
410   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
411   PetscErrorCode ierr;
412   PetscReal      sum[2],*lnorm2;
413 
414   PetscFunctionBegin;
415   if (baij->size == 1) {
416     ierr =  MatNorm(baij->A,type,norm);CHKERRQ(ierr);
417   } else {
418     if (type == NORM_FROBENIUS) {
419       ierr = PetscMalloc(2*sizeof(PetscReal),&lnorm2);CHKERRQ(ierr);
420       ierr =  MatNorm(baij->A,type,lnorm2);CHKERRQ(ierr);
421       *lnorm2 = (*lnorm2)*(*lnorm2); lnorm2++;            /* squar power of norm(A) */
422       ierr =  MatNorm(baij->B,type,lnorm2);CHKERRQ(ierr);
423       *lnorm2 = (*lnorm2)*(*lnorm2); lnorm2--;             /* squar power of norm(B) */
424       ierr = MPI_Allreduce(lnorm2,&sum,2,MPIU_REAL,MPIU_SUM,((PetscObject)mat)->comm);CHKERRQ(ierr);
425       *norm = PetscSqrtReal(sum[0] + 2*sum[1]);
426       ierr = PetscFree(lnorm2);CHKERRQ(ierr);
427     } else if (type == NORM_INFINITY || type == NORM_1) { /* max row/column sum */
428       Mat_SeqSBAIJ *amat=(Mat_SeqSBAIJ*)baij->A->data;
429       Mat_SeqBAIJ  *bmat=(Mat_SeqBAIJ*)baij->B->data;
430       PetscReal    *rsum,*rsum2,vabs;
431       PetscInt     *jj,*garray=baij->garray,rstart=baij->rstartbs,nz;
432       PetscInt     brow,bcol,col,bs=baij->A->rmap->bs,row,grow,gcol,mbs=amat->mbs;
433       MatScalar    *v;
434 
435       ierr  = PetscMalloc2(mat->cmap->N,PetscReal,&rsum,mat->cmap->N,PetscReal,&rsum2);CHKERRQ(ierr);
436       ierr  = PetscMemzero(rsum,mat->cmap->N*sizeof(PetscReal));CHKERRQ(ierr);
437       /* Amat */
438       v = amat->a; jj = amat->j;
439       for (brow=0; brow<mbs; brow++) {
440         grow = bs*(rstart + brow);
441         nz = amat->i[brow+1] - amat->i[brow];
442         for (bcol=0; bcol<nz; bcol++){
443           gcol = bs*(rstart + *jj); jj++;
444           for (col=0; col<bs; col++){
445             for (row=0; row<bs; row++){
446               vabs = PetscAbsScalar(*v); v++;
447               rsum[gcol+col] += vabs;
448               /* non-diagonal block */
449               if (bcol > 0 && vabs > 0.0) rsum[grow+row] += vabs;
450             }
451           }
452         }
453       }
454       /* Bmat */
455       v = bmat->a; jj = bmat->j;
456       for (brow=0; brow<mbs; brow++) {
457         grow = bs*(rstart + brow);
458         nz = bmat->i[brow+1] - bmat->i[brow];
459         for (bcol=0; bcol<nz; bcol++){
460           gcol = bs*garray[*jj]; jj++;
461           for (col=0; col<bs; col++){
462             for (row=0; row<bs; row++){
463               vabs = PetscAbsScalar(*v); v++;
464               rsum[gcol+col] += vabs;
465               rsum[grow+row] += vabs;
466             }
467           }
468         }
469       }
470       ierr = MPI_Allreduce(rsum,rsum2,mat->cmap->N,MPIU_REAL,MPIU_SUM,((PetscObject)mat)->comm);CHKERRQ(ierr);
471       *norm = 0.0;
472       for (col=0; col<mat->cmap->N; col++) {
473         if (rsum2[col] > *norm) *norm = rsum2[col];
474       }
475       ierr = PetscFree2(rsum,rsum2);CHKERRQ(ierr);
476     } else {
477       SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for this norm yet");
478     }
479   }
480   PetscFunctionReturn(0);
481 }
482 
483 #undef __FUNCT__
484 #define __FUNCT__ "MatAssemblyBegin_MPISBAIJ"
485 PetscErrorCode MatAssemblyBegin_MPISBAIJ(Mat mat,MatAssemblyType mode)
486 {
487   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
488   PetscErrorCode ierr;
489   PetscInt       nstash,reallocs;
490   InsertMode     addv;
491 
492   PetscFunctionBegin;
493   if (baij->donotstash || mat->nooffprocentries) {
494     PetscFunctionReturn(0);
495   }
496 
497   /* make sure all processors are either in INSERTMODE or ADDMODE */
498   ierr = MPI_Allreduce(&mat->insertmode,&addv,1,MPI_INT,MPI_BOR,((PetscObject)mat)->comm);CHKERRQ(ierr);
499   if (addv == (ADD_VALUES|INSERT_VALUES)) SETERRQ(((PetscObject)mat)->comm,PETSC_ERR_ARG_WRONGSTATE,"Some processors inserted others added");
500   mat->insertmode = addv; /* in case this processor had no cache */
501 
502   ierr = MatStashScatterBegin_Private(mat,&mat->stash,mat->rmap->range);CHKERRQ(ierr);
503   ierr = MatStashScatterBegin_Private(mat,&mat->bstash,baij->rangebs);CHKERRQ(ierr);
504   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
505   ierr = PetscInfo2(mat,"Stash has %D entries,uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
506   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
507   ierr = PetscInfo2(mat,"Block-Stash has %D entries, uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
508   PetscFunctionReturn(0);
509 }
510 
511 #undef __FUNCT__
512 #define __FUNCT__ "MatAssemblyEnd_MPISBAIJ"
513 PetscErrorCode MatAssemblyEnd_MPISBAIJ(Mat mat,MatAssemblyType mode)
514 {
515   Mat_MPISBAIJ   *baij=(Mat_MPISBAIJ*)mat->data;
516   Mat_SeqSBAIJ   *a=(Mat_SeqSBAIJ*)baij->A->data;
517   PetscErrorCode ierr;
518   PetscInt       i,j,rstart,ncols,flg,bs2=baij->bs2;
519   PetscInt       *row,*col;
520   PetscBool      other_disassembled;
521   PetscMPIInt    n;
522   PetscBool      r1,r2,r3;
523   MatScalar      *val;
524   InsertMode     addv = mat->insertmode;
525 
526   /* do not use 'b=(Mat_SeqBAIJ*)baij->B->data' as B can be reset in disassembly */
527   PetscFunctionBegin;
528 
529   if (!baij->donotstash &&  !mat->nooffprocentries) {
530     while (1) {
531       ierr = MatStashScatterGetMesg_Private(&mat->stash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
532       if (!flg) break;
533 
534       for (i=0; i<n;) {
535         /* Now identify the consecutive vals belonging to the same row */
536         for (j=i,rstart=row[j]; j<n; j++) { if (row[j] != rstart) break; }
537         if (j < n) ncols = j-i;
538         else       ncols = n-i;
539         /* Now assemble all these values with a single function call */
540         ierr = MatSetValues_MPISBAIJ(mat,1,row+i,ncols,col+i,val+i,addv);CHKERRQ(ierr);
541         i = j;
542       }
543     }
544     ierr = MatStashScatterEnd_Private(&mat->stash);CHKERRQ(ierr);
545     /* Now process the block-stash. Since the values are stashed column-oriented,
546        set the roworiented flag to column oriented, and after MatSetValues()
547        restore the original flags */
548     r1 = baij->roworiented;
549     r2 = a->roworiented;
550     r3 = ((Mat_SeqBAIJ*)baij->B->data)->roworiented;
551     baij->roworiented = PETSC_FALSE;
552     a->roworiented    = PETSC_FALSE;
553     ((Mat_SeqBAIJ*)baij->B->data)->roworiented    = PETSC_FALSE; /* b->roworinted */
554     while (1) {
555       ierr = MatStashScatterGetMesg_Private(&mat->bstash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
556       if (!flg) break;
557 
558       for (i=0; i<n;) {
559         /* Now identify the consecutive vals belonging to the same row */
560         for (j=i,rstart=row[j]; j<n; j++) { if (row[j] != rstart) break; }
561         if (j < n) ncols = j-i;
562         else       ncols = n-i;
563         ierr = MatSetValuesBlocked_MPISBAIJ(mat,1,row+i,ncols,col+i,val+i*bs2,addv);CHKERRQ(ierr);
564         i = j;
565       }
566     }
567     ierr = MatStashScatterEnd_Private(&mat->bstash);CHKERRQ(ierr);
568     baij->roworiented = r1;
569     a->roworiented    = r2;
570     ((Mat_SeqBAIJ*)baij->B->data)->roworiented    = r3; /* b->roworinted */
571   }
572 
573   ierr = MatAssemblyBegin(baij->A,mode);CHKERRQ(ierr);
574   ierr = MatAssemblyEnd(baij->A,mode);CHKERRQ(ierr);
575 
576   /* determine if any processor has disassembled, if so we must
577      also disassemble ourselfs, in order that we may reassemble. */
578   /*
579      if nonzero structure of submatrix B cannot change then we know that
580      no processor disassembled thus we can skip this stuff
581   */
582   if (!((Mat_SeqBAIJ*)baij->B->data)->nonew)  {
583     ierr = MPI_Allreduce(&mat->was_assembled,&other_disassembled,1,MPI_INT,MPI_PROD,((PetscObject)mat)->comm);CHKERRQ(ierr);
584     if (mat->was_assembled && !other_disassembled) {
585       ierr = DisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
586     }
587   }
588 
589   if (!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) {
590     ierr = MatSetUpMultiply_MPISBAIJ(mat);CHKERRQ(ierr); /* setup Mvctx and sMvctx */
591   }
592   ierr = MatSetOption(baij->B,MAT_CHECK_COMPRESSED_ROW,PETSC_TRUE);CHKERRQ(ierr);
593   ierr = MatAssemblyBegin(baij->B,mode);CHKERRQ(ierr);
594   ierr = MatAssemblyEnd(baij->B,mode);CHKERRQ(ierr);
595 
596   ierr = PetscFree2(baij->rowvalues,baij->rowindices);CHKERRQ(ierr);
597   baij->rowvalues = 0;
598 
599   PetscFunctionReturn(0);
600 }
601 
602 extern PetscErrorCode MatSetValues_MPIBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
603 #undef __FUNCT__
604 #define __FUNCT__ "MatView_MPISBAIJ_ASCIIorDraworSocket"
605 static PetscErrorCode MatView_MPISBAIJ_ASCIIorDraworSocket(Mat mat,PetscViewer viewer)
606 {
607   Mat_MPISBAIJ      *baij = (Mat_MPISBAIJ*)mat->data;
608   PetscErrorCode    ierr;
609   PetscInt          bs = mat->rmap->bs;
610   PetscMPIInt       size = baij->size,rank = baij->rank;
611   PetscBool         iascii,isdraw;
612   PetscViewer       sviewer;
613   PetscViewerFormat format;
614 
615   PetscFunctionBegin;
616   ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
617   ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
618   if (iascii) {
619     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
620     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
621       MatInfo info;
622       ierr = MPI_Comm_rank(((PetscObject)mat)->comm,&rank);CHKERRQ(ierr);
623       ierr = MatGetInfo(mat,MAT_LOCAL,&info);CHKERRQ(ierr);
624       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_TRUE);CHKERRQ(ierr);
625       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);
626       ierr = MatGetInfo(baij->A,MAT_LOCAL,&info);CHKERRQ(ierr);
627       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] on-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
628       ierr = MatGetInfo(baij->B,MAT_LOCAL,&info);CHKERRQ(ierr);
629       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] off-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
630       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
631       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_FALSE);CHKERRQ(ierr);
632       ierr = PetscViewerASCIIPrintf(viewer,"Information on VecScatter used in matrix-vector product: \n");CHKERRQ(ierr);
633       ierr = VecScatterView(baij->Mvctx,viewer);CHKERRQ(ierr);
634       PetscFunctionReturn(0);
635     } else if (format == PETSC_VIEWER_ASCII_INFO) {
636       ierr = PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);CHKERRQ(ierr);
637       PetscFunctionReturn(0);
638     } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
639       PetscFunctionReturn(0);
640     }
641   }
642 
643   if (isdraw) {
644     PetscDraw  draw;
645     PetscBool  isnull;
646     ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
647     ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
648   }
649 
650   if (size == 1) {
651     ierr = PetscObjectSetName((PetscObject)baij->A,((PetscObject)mat)->name);CHKERRQ(ierr);
652     ierr = MatView(baij->A,viewer);CHKERRQ(ierr);
653   } else {
654     /* assemble the entire matrix onto first processor. */
655     Mat          A;
656     Mat_SeqSBAIJ *Aloc;
657     Mat_SeqBAIJ  *Bloc;
658     PetscInt     M = mat->rmap->N,N = mat->cmap->N,*ai,*aj,col,i,j,k,*rvals,mbs = baij->mbs;
659     MatScalar    *a;
660 
661     /* Should this be the same type as mat? */
662     ierr = MatCreate(((PetscObject)mat)->comm,&A);CHKERRQ(ierr);
663     if (!rank) {
664       ierr = MatSetSizes(A,M,N,M,N);CHKERRQ(ierr);
665     } else {
666       ierr = MatSetSizes(A,0,0,M,N);CHKERRQ(ierr);
667     }
668     ierr = MatSetType(A,MATMPISBAIJ);CHKERRQ(ierr);
669     ierr = MatMPISBAIJSetPreallocation(A,mat->rmap->bs,0,PETSC_NULL,0,PETSC_NULL);CHKERRQ(ierr);
670     ierr = PetscLogObjectParent(mat,A);CHKERRQ(ierr);
671 
672     /* copy over the A part */
673     Aloc  = (Mat_SeqSBAIJ*)baij->A->data;
674     ai    = Aloc->i; aj = Aloc->j; a = Aloc->a;
675     ierr  = PetscMalloc(bs*sizeof(PetscInt),&rvals);CHKERRQ(ierr);
676 
677     for (i=0; i<mbs; i++) {
678       rvals[0] = bs*(baij->rstartbs + i);
679       for (j=1; j<bs; j++) { rvals[j] = rvals[j-1] + 1; }
680       for (j=ai[i]; j<ai[i+1]; j++) {
681         col = (baij->cstartbs+aj[j])*bs;
682         for (k=0; k<bs; k++) {
683           ierr = MatSetValues_MPISBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
684           col++; a += bs;
685         }
686       }
687     }
688     /* copy over the B part */
689     Bloc = (Mat_SeqBAIJ*)baij->B->data;
690     ai = Bloc->i; aj = Bloc->j; a = Bloc->a;
691     for (i=0; i<mbs; i++) {
692 
693       rvals[0] = bs*(baij->rstartbs + i);
694       for (j=1; j<bs; j++) { rvals[j] = rvals[j-1] + 1; }
695       for (j=ai[i]; j<ai[i+1]; j++) {
696         col = baij->garray[aj[j]]*bs;
697         for (k=0; k<bs; k++) {
698           ierr = MatSetValues_MPIBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
699           col++; a += bs;
700         }
701       }
702     }
703     ierr = PetscFree(rvals);CHKERRQ(ierr);
704     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
705     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
706     /*
707        Everyone has to call to draw the matrix since the graphics waits are
708        synchronized across all processors that share the PetscDraw object
709     */
710     ierr = PetscViewerGetSingleton(viewer,&sviewer);CHKERRQ(ierr);
711     if (!rank) {
712       ierr = PetscObjectSetName((PetscObject)((Mat_MPISBAIJ*)(A->data))->A,((PetscObject)mat)->name);CHKERRQ(ierr);
713           /* Set the type name to MATMPISBAIJ so that the correct type can be printed out by PetscObjectPrintClassNamePrefixType() in MatView_SeqSBAIJ_ASCII()*/
714       PetscStrcpy(((PetscObject)((Mat_MPISBAIJ*)(A->data))->A)->type_name,MATMPISBAIJ);
715       ierr = MatView(((Mat_MPISBAIJ*)(A->data))->A,sviewer);CHKERRQ(ierr);
716     }
717     ierr = PetscViewerRestoreSingleton(viewer,&sviewer);CHKERRQ(ierr);
718     ierr = MatDestroy(&A);CHKERRQ(ierr);
719   }
720   PetscFunctionReturn(0);
721 }
722 
723 #undef __FUNCT__
724 #define __FUNCT__ "MatView_MPISBAIJ"
725 PetscErrorCode MatView_MPISBAIJ(Mat mat,PetscViewer viewer)
726 {
727   PetscErrorCode ierr;
728   PetscBool      iascii,isdraw,issocket,isbinary;
729 
730   PetscFunctionBegin;
731   ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
732   ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
733   ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERSOCKET,&issocket);CHKERRQ(ierr);
734   ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
735   if (iascii || isdraw || issocket || isbinary) {
736     ierr = MatView_MPISBAIJ_ASCIIorDraworSocket(mat,viewer);CHKERRQ(ierr);
737   } else {
738     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Viewer type %s not supported by MPISBAIJ matrices",((PetscObject)viewer)->type_name);
739   }
740   PetscFunctionReturn(0);
741 }
742 
743 #undef __FUNCT__
744 #define __FUNCT__ "MatDestroy_MPISBAIJ"
745 PetscErrorCode MatDestroy_MPISBAIJ(Mat mat)
746 {
747   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
748   PetscErrorCode ierr;
749 
750   PetscFunctionBegin;
751 #if defined(PETSC_USE_LOG)
752   PetscLogObjectState((PetscObject)mat,"Rows=%D,Cols=%D",mat->rmap->N,mat->cmap->N);
753 #endif
754   ierr = MatStashDestroy_Private(&mat->stash);CHKERRQ(ierr);
755   ierr = MatStashDestroy_Private(&mat->bstash);CHKERRQ(ierr);
756   ierr = MatDestroy(&baij->A);CHKERRQ(ierr);
757   ierr = MatDestroy(&baij->B);CHKERRQ(ierr);
758 #if defined (PETSC_USE_CTABLE)
759   ierr = PetscTableDestroy(&baij->colmap);CHKERRQ(ierr);
760 #else
761   ierr = PetscFree(baij->colmap);CHKERRQ(ierr);
762 #endif
763   ierr = PetscFree(baij->garray);CHKERRQ(ierr);
764   ierr = VecDestroy(&baij->lvec);CHKERRQ(ierr);
765   ierr = VecScatterDestroy(&baij->Mvctx);CHKERRQ(ierr);
766   ierr = VecDestroy(&baij->slvec0);CHKERRQ(ierr);
767   ierr = VecDestroy(&baij->slvec0b);CHKERRQ(ierr);
768   ierr = VecDestroy(&baij->slvec1);CHKERRQ(ierr);
769   ierr = VecDestroy(&baij->slvec1a);CHKERRQ(ierr);
770   ierr = VecDestroy(&baij->slvec1b);CHKERRQ(ierr);
771   ierr = VecScatterDestroy(&baij->sMvctx);CHKERRQ(ierr);
772   ierr = PetscFree2(baij->rowvalues,baij->rowindices);CHKERRQ(ierr);
773   ierr = PetscFree(baij->barray);CHKERRQ(ierr);
774   ierr = PetscFree(baij->hd);CHKERRQ(ierr);
775   ierr = VecDestroy(&baij->diag);CHKERRQ(ierr);
776   ierr = VecDestroy(&baij->bb1);CHKERRQ(ierr);
777   ierr = VecDestroy(&baij->xx1);CHKERRQ(ierr);
778 #if defined(PETSC_USE_REAL_MAT_SINGLE)
779   ierr = PetscFree(baij->setvaluescopy);CHKERRQ(ierr);
780 #endif
781   ierr = PetscFree(baij->in_loc);CHKERRQ(ierr);
782   ierr = PetscFree(baij->v_loc);CHKERRQ(ierr);
783   ierr = PetscFree(baij->rangebs);CHKERRQ(ierr);
784   ierr = PetscFree(mat->data);CHKERRQ(ierr);
785 
786   ierr = PetscObjectChangeTypeName((PetscObject)mat,0);CHKERRQ(ierr);
787   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatStoreValues_C","",PETSC_NULL);CHKERRQ(ierr);
788   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatRetrieveValues_C","",PETSC_NULL);CHKERRQ(ierr);
789   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatGetDiagonalBlock_C","",PETSC_NULL);CHKERRQ(ierr);
790   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatMPISBAIJSetPreallocation_C","",PETSC_NULL);CHKERRQ(ierr);
791   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpisbaij_mpisbstrm_C","",PETSC_NULL);CHKERRQ(ierr);
792   PetscFunctionReturn(0);
793 }
794 
795 #undef __FUNCT__
796 #define __FUNCT__ "MatMult_MPISBAIJ_Hermitian"
797 PetscErrorCode MatMult_MPISBAIJ_Hermitian(Mat A,Vec xx,Vec yy)
798 {
799   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
800   PetscErrorCode ierr;
801   PetscInt       nt,mbs=a->mbs,bs=A->rmap->bs;
802   PetscScalar    *x,*from;
803 
804   PetscFunctionBegin;
805   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
806   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
807 
808   /* diagonal part */
809   ierr = (*a->A->ops->mult)(a->A,xx,a->slvec1a);CHKERRQ(ierr);
810   ierr = VecSet(a->slvec1b,0.0);CHKERRQ(ierr);
811 
812   /* subdiagonal part */
813   ierr = (*a->B->ops->multhermitiantranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
814 
815   /* copy x into the vec slvec0 */
816   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
817   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
818 
819   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
820   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
821   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
822 
823   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
824   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
825   /* supperdiagonal part */
826   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,yy);CHKERRQ(ierr);
827   PetscFunctionReturn(0);
828 }
829 
830 #undef __FUNCT__
831 #define __FUNCT__ "MatMult_MPISBAIJ"
832 PetscErrorCode MatMult_MPISBAIJ(Mat A,Vec xx,Vec yy)
833 {
834   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
835   PetscErrorCode ierr;
836   PetscInt       nt,mbs=a->mbs,bs=A->rmap->bs;
837   PetscScalar    *x,*from;
838 
839   PetscFunctionBegin;
840   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
841   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
842 
843   /* diagonal part */
844   ierr = (*a->A->ops->mult)(a->A,xx,a->slvec1a);CHKERRQ(ierr);
845   ierr = VecSet(a->slvec1b,0.0);CHKERRQ(ierr);
846 
847   /* subdiagonal part */
848   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
849 
850   /* copy x into the vec slvec0 */
851   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
852   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
853 
854   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
855   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
856   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
857 
858   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
859   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
860   /* supperdiagonal part */
861   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,yy);CHKERRQ(ierr);
862   PetscFunctionReturn(0);
863 }
864 
865 #undef __FUNCT__
866 #define __FUNCT__ "MatMult_MPISBAIJ_2comm"
867 PetscErrorCode MatMult_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy)
868 {
869   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
870   PetscErrorCode ierr;
871   PetscInt       nt;
872 
873   PetscFunctionBegin;
874   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
875   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
876 
877   ierr = VecGetLocalSize(yy,&nt);CHKERRQ(ierr);
878   if (nt != A->rmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible parition of A and yy");
879 
880   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
881   /* do diagonal part */
882   ierr = (*a->A->ops->mult)(a->A,xx,yy);CHKERRQ(ierr);
883   /* do supperdiagonal part */
884   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
885   ierr = (*a->B->ops->multadd)(a->B,a->lvec,yy,yy);CHKERRQ(ierr);
886   /* do subdiagonal part */
887   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
888   ierr = VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
889   ierr = VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
890 
891   PetscFunctionReturn(0);
892 }
893 
894 #undef __FUNCT__
895 #define __FUNCT__ "MatMultAdd_MPISBAIJ"
896 PetscErrorCode MatMultAdd_MPISBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
897 {
898   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
899   PetscErrorCode ierr;
900   PetscInt       mbs=a->mbs,bs=A->rmap->bs;
901   PetscScalar    *x,*from,zero=0.0;
902 
903   PetscFunctionBegin;
904   /*
905   PetscSynchronizedPrintf(((PetscObject)A)->comm," MatMultAdd is called ...\n");
906   PetscSynchronizedFlush(((PetscObject)A)->comm);
907   */
908   /* diagonal part */
909   ierr = (*a->A->ops->multadd)(a->A,xx,yy,a->slvec1a);CHKERRQ(ierr);
910   ierr = VecSet(a->slvec1b,zero);CHKERRQ(ierr);
911 
912   /* subdiagonal part */
913   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
914 
915   /* copy x into the vec slvec0 */
916   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
917   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
918   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
919   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
920 
921   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
922   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
923   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
924 
925   /* supperdiagonal part */
926   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,zz);CHKERRQ(ierr);
927 
928   PetscFunctionReturn(0);
929 }
930 
931 #undef __FUNCT__
932 #define __FUNCT__ "MatMultAdd_MPISBAIJ_2comm"
933 PetscErrorCode MatMultAdd_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy,Vec zz)
934 {
935   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
936   PetscErrorCode ierr;
937 
938   PetscFunctionBegin;
939   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
940   /* do diagonal part */
941   ierr = (*a->A->ops->multadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
942   /* do supperdiagonal part */
943   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
944   ierr = (*a->B->ops->multadd)(a->B,a->lvec,zz,zz);CHKERRQ(ierr);
945 
946   /* do subdiagonal part */
947   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
948   ierr = VecScatterBegin(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
949   ierr = VecScatterEnd(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
950 
951   PetscFunctionReturn(0);
952 }
953 
954 /*
955   This only works correctly for square matrices where the subblock A->A is the
956    diagonal block
957 */
958 #undef __FUNCT__
959 #define __FUNCT__ "MatGetDiagonal_MPISBAIJ"
960 PetscErrorCode MatGetDiagonal_MPISBAIJ(Mat A,Vec v)
961 {
962   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
963   PetscErrorCode ierr;
964 
965   PetscFunctionBegin;
966   /* if (a->rmap->N != a->cmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Supports only square matrix where A->A is diag block"); */
967   ierr = MatGetDiagonal(a->A,v);CHKERRQ(ierr);
968   PetscFunctionReturn(0);
969 }
970 
971 #undef __FUNCT__
972 #define __FUNCT__ "MatScale_MPISBAIJ"
973 PetscErrorCode MatScale_MPISBAIJ(Mat A,PetscScalar aa)
974 {
975   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
976   PetscErrorCode ierr;
977 
978   PetscFunctionBegin;
979   ierr = MatScale(a->A,aa);CHKERRQ(ierr);
980   ierr = MatScale(a->B,aa);CHKERRQ(ierr);
981   PetscFunctionReturn(0);
982 }
983 
984 #undef __FUNCT__
985 #define __FUNCT__ "MatGetRow_MPISBAIJ"
986 PetscErrorCode MatGetRow_MPISBAIJ(Mat matin,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
987 {
988   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
989   PetscScalar    *vworkA,*vworkB,**pvA,**pvB,*v_p;
990   PetscErrorCode ierr;
991   PetscInt       bs = matin->rmap->bs,bs2 = mat->bs2,i,*cworkA,*cworkB,**pcA,**pcB;
992   PetscInt       nztot,nzA,nzB,lrow,brstart = matin->rmap->rstart,brend = matin->rmap->rend;
993   PetscInt       *cmap,*idx_p,cstart = mat->rstartbs;
994 
995   PetscFunctionBegin;
996   if (mat->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Already active");
997   mat->getrowactive = PETSC_TRUE;
998 
999   if (!mat->rowvalues && (idx || v)) {
1000     /*
1001         allocate enough space to hold information from the longest row.
1002     */
1003     Mat_SeqSBAIJ *Aa = (Mat_SeqSBAIJ*)mat->A->data;
1004     Mat_SeqBAIJ  *Ba = (Mat_SeqBAIJ*)mat->B->data;
1005     PetscInt     max = 1,mbs = mat->mbs,tmp;
1006     for (i=0; i<mbs; i++) {
1007       tmp = Aa->i[i+1] - Aa->i[i] + Ba->i[i+1] - Ba->i[i]; /* row length */
1008       if (max < tmp) { max = tmp; }
1009     }
1010     ierr = PetscMalloc2(max*bs2,PetscScalar,&mat->rowvalues,max*bs2,PetscInt,&mat->rowindices);CHKERRQ(ierr);
1011   }
1012 
1013   if (row < brstart || row >= brend) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local rows");
1014   lrow = row - brstart;  /* local row index */
1015 
1016   pvA = &vworkA; pcA = &cworkA; pvB = &vworkB; pcB = &cworkB;
1017   if (!v)   {pvA = 0; pvB = 0;}
1018   if (!idx) {pcA = 0; if (!v) pcB = 0;}
1019   ierr = (*mat->A->ops->getrow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1020   ierr = (*mat->B->ops->getrow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1021   nztot = nzA + nzB;
1022 
1023   cmap  = mat->garray;
1024   if (v  || idx) {
1025     if (nztot) {
1026       /* Sort by increasing column numbers, assuming A and B already sorted */
1027       PetscInt imark = -1;
1028       if (v) {
1029         *v = v_p = mat->rowvalues;
1030         for (i=0; i<nzB; i++) {
1031           if (cmap[cworkB[i]/bs] < cstart)   v_p[i] = vworkB[i];
1032           else break;
1033         }
1034         imark = i;
1035         for (i=0; i<nzA; i++)     v_p[imark+i] = vworkA[i];
1036         for (i=imark; i<nzB; i++) v_p[nzA+i]   = vworkB[i];
1037       }
1038       if (idx) {
1039         *idx = idx_p = mat->rowindices;
1040         if (imark > -1) {
1041           for (i=0; i<imark; i++) {
1042             idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1043           }
1044         } else {
1045           for (i=0; i<nzB; i++) {
1046             if (cmap[cworkB[i]/bs] < cstart)
1047               idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1048             else break;
1049           }
1050           imark = i;
1051         }
1052         for (i=0; i<nzA; i++)     idx_p[imark+i] = cstart*bs + cworkA[i];
1053         for (i=imark; i<nzB; i++) idx_p[nzA+i]   = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1054       }
1055     } else {
1056       if (idx) *idx = 0;
1057       if (v)   *v   = 0;
1058     }
1059   }
1060   *nz = nztot;
1061   ierr = (*mat->A->ops->restorerow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1062   ierr = (*mat->B->ops->restorerow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1063   PetscFunctionReturn(0);
1064 }
1065 
1066 #undef __FUNCT__
1067 #define __FUNCT__ "MatRestoreRow_MPISBAIJ"
1068 PetscErrorCode MatRestoreRow_MPISBAIJ(Mat mat,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1069 {
1070   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
1071 
1072   PetscFunctionBegin;
1073   if (!baij->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"MatGetRow() must be called first");
1074   baij->getrowactive = PETSC_FALSE;
1075   PetscFunctionReturn(0);
1076 }
1077 
1078 #undef __FUNCT__
1079 #define __FUNCT__ "MatGetRowUpperTriangular_MPISBAIJ"
1080 PetscErrorCode MatGetRowUpperTriangular_MPISBAIJ(Mat A)
1081 {
1082   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1083   Mat_SeqSBAIJ   *aA = (Mat_SeqSBAIJ*)a->A->data;
1084 
1085   PetscFunctionBegin;
1086   aA->getrow_utriangular = PETSC_TRUE;
1087   PetscFunctionReturn(0);
1088 }
1089 #undef __FUNCT__
1090 #define __FUNCT__ "MatRestoreRowUpperTriangular_MPISBAIJ"
1091 PetscErrorCode MatRestoreRowUpperTriangular_MPISBAIJ(Mat A)
1092 {
1093   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1094   Mat_SeqSBAIJ   *aA = (Mat_SeqSBAIJ*)a->A->data;
1095 
1096   PetscFunctionBegin;
1097   aA->getrow_utriangular = PETSC_FALSE;
1098   PetscFunctionReturn(0);
1099 }
1100 
1101 #undef __FUNCT__
1102 #define __FUNCT__ "MatRealPart_MPISBAIJ"
1103 PetscErrorCode MatRealPart_MPISBAIJ(Mat A)
1104 {
1105   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1106   PetscErrorCode ierr;
1107 
1108   PetscFunctionBegin;
1109   ierr = MatRealPart(a->A);CHKERRQ(ierr);
1110   ierr = MatRealPart(a->B);CHKERRQ(ierr);
1111   PetscFunctionReturn(0);
1112 }
1113 
1114 #undef __FUNCT__
1115 #define __FUNCT__ "MatImaginaryPart_MPISBAIJ"
1116 PetscErrorCode MatImaginaryPart_MPISBAIJ(Mat A)
1117 {
1118   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1119   PetscErrorCode ierr;
1120 
1121   PetscFunctionBegin;
1122   ierr = MatImaginaryPart(a->A);CHKERRQ(ierr);
1123   ierr = MatImaginaryPart(a->B);CHKERRQ(ierr);
1124   PetscFunctionReturn(0);
1125 }
1126 
1127 #undef __FUNCT__
1128 #define __FUNCT__ "MatZeroEntries_MPISBAIJ"
1129 PetscErrorCode MatZeroEntries_MPISBAIJ(Mat A)
1130 {
1131   Mat_MPISBAIJ   *l = (Mat_MPISBAIJ*)A->data;
1132   PetscErrorCode ierr;
1133 
1134   PetscFunctionBegin;
1135   ierr = MatZeroEntries(l->A);CHKERRQ(ierr);
1136   ierr = MatZeroEntries(l->B);CHKERRQ(ierr);
1137   PetscFunctionReturn(0);
1138 }
1139 
1140 #undef __FUNCT__
1141 #define __FUNCT__ "MatGetInfo_MPISBAIJ"
1142 PetscErrorCode MatGetInfo_MPISBAIJ(Mat matin,MatInfoType flag,MatInfo *info)
1143 {
1144   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)matin->data;
1145   Mat            A = a->A,B = a->B;
1146   PetscErrorCode ierr;
1147   PetscReal      isend[5],irecv[5];
1148 
1149   PetscFunctionBegin;
1150   info->block_size     = (PetscReal)matin->rmap->bs;
1151   ierr = MatGetInfo(A,MAT_LOCAL,info);CHKERRQ(ierr);
1152   isend[0] = info->nz_used; isend[1] = info->nz_allocated; isend[2] = info->nz_unneeded;
1153   isend[3] = info->memory;  isend[4] = info->mallocs;
1154   ierr = MatGetInfo(B,MAT_LOCAL,info);CHKERRQ(ierr);
1155   isend[0] += info->nz_used; isend[1] += info->nz_allocated; isend[2] += info->nz_unneeded;
1156   isend[3] += info->memory;  isend[4] += info->mallocs;
1157   if (flag == MAT_LOCAL) {
1158     info->nz_used      = isend[0];
1159     info->nz_allocated = isend[1];
1160     info->nz_unneeded  = isend[2];
1161     info->memory       = isend[3];
1162     info->mallocs      = isend[4];
1163   } else if (flag == MAT_GLOBAL_MAX) {
1164     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_MAX,((PetscObject)matin)->comm);CHKERRQ(ierr);
1165     info->nz_used      = irecv[0];
1166     info->nz_allocated = irecv[1];
1167     info->nz_unneeded  = irecv[2];
1168     info->memory       = irecv[3];
1169     info->mallocs      = irecv[4];
1170   } else if (flag == MAT_GLOBAL_SUM) {
1171     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_SUM,((PetscObject)matin)->comm);CHKERRQ(ierr);
1172     info->nz_used      = irecv[0];
1173     info->nz_allocated = irecv[1];
1174     info->nz_unneeded  = irecv[2];
1175     info->memory       = irecv[3];
1176     info->mallocs      = irecv[4];
1177   } else {
1178     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Unknown MatInfoType argument %d",(int)flag);
1179   }
1180   info->fill_ratio_given  = 0; /* no parallel LU/ILU/Cholesky */
1181   info->fill_ratio_needed = 0;
1182   info->factor_mallocs    = 0;
1183   PetscFunctionReturn(0);
1184 }
1185 
1186 #undef __FUNCT__
1187 #define __FUNCT__ "MatSetOption_MPISBAIJ"
1188 PetscErrorCode MatSetOption_MPISBAIJ(Mat A,MatOption op,PetscBool  flg)
1189 {
1190   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1191   Mat_SeqSBAIJ   *aA = (Mat_SeqSBAIJ*)a->A->data;
1192   PetscErrorCode ierr;
1193 
1194   PetscFunctionBegin;
1195   switch (op) {
1196   case MAT_NEW_NONZERO_LOCATIONS:
1197   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1198   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1199   case MAT_KEEP_NONZERO_PATTERN:
1200   case MAT_NEW_NONZERO_LOCATION_ERR:
1201     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1202     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1203     break;
1204   case MAT_ROW_ORIENTED:
1205     a->roworiented = flg;
1206     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1207     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1208     break;
1209   case MAT_NEW_DIAGONALS:
1210     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1211     break;
1212   case MAT_IGNORE_OFF_PROC_ENTRIES:
1213     a->donotstash = flg;
1214     break;
1215   case MAT_USE_HASH_TABLE:
1216     a->ht_flag = flg;
1217     break;
1218   case MAT_HERMITIAN:
1219     if (!A->assembled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call MatAssemblyEnd() first");
1220     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1221     A->ops->mult = MatMult_MPISBAIJ_Hermitian;
1222     break;
1223   case MAT_SPD:
1224     A->spd_set                         = PETSC_TRUE;
1225     A->spd                             = flg;
1226     if (flg) {
1227       A->symmetric                     = PETSC_TRUE;
1228       A->structurally_symmetric        = PETSC_TRUE;
1229       A->symmetric_set                 = PETSC_TRUE;
1230       A->structurally_symmetric_set    = PETSC_TRUE;
1231     }
1232     break;
1233   case MAT_SYMMETRIC:
1234     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1235     break;
1236   case MAT_STRUCTURALLY_SYMMETRIC:
1237     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1238     break;
1239   case MAT_SYMMETRY_ETERNAL:
1240     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Matrix must be symmetric");
1241     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1242     break;
1243   case MAT_IGNORE_LOWER_TRIANGULAR:
1244     aA->ignore_ltriangular = flg;
1245     break;
1246   case MAT_ERROR_LOWER_TRIANGULAR:
1247     aA->ignore_ltriangular = flg;
1248     break;
1249   case MAT_GETROW_UPPERTRIANGULAR:
1250     aA->getrow_utriangular = flg;
1251     break;
1252   default:
1253     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
1254   }
1255   PetscFunctionReturn(0);
1256 }
1257 
1258 #undef __FUNCT__
1259 #define __FUNCT__ "MatTranspose_MPISBAIJ"
1260 PetscErrorCode MatTranspose_MPISBAIJ(Mat A,MatReuse reuse,Mat *B)
1261 {
1262   PetscErrorCode ierr;
1263   PetscFunctionBegin;
1264   if (MAT_INITIAL_MATRIX || *B != A) {
1265     ierr = MatDuplicate(A,MAT_COPY_VALUES,B);CHKERRQ(ierr);
1266   }
1267   PetscFunctionReturn(0);
1268 }
1269 
1270 #undef __FUNCT__
1271 #define __FUNCT__ "MatDiagonalScale_MPISBAIJ"
1272 PetscErrorCode MatDiagonalScale_MPISBAIJ(Mat mat,Vec ll,Vec rr)
1273 {
1274   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
1275   Mat            a=baij->A, b=baij->B;
1276   PetscErrorCode ierr;
1277   PetscInt       nv,m,n;
1278   PetscBool      flg;
1279 
1280   PetscFunctionBegin;
1281   if (ll != rr){
1282     ierr = VecEqual(ll,rr,&flg);CHKERRQ(ierr);
1283     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"For symmetric format, left and right scaling vectors must be same\n");
1284   }
1285   if (!ll) PetscFunctionReturn(0);
1286 
1287   ierr = MatGetLocalSize(mat,&m,&n);CHKERRQ(ierr);
1288   if (m != n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"For symmetric format, local size %d %d must be same",m,n);
1289 
1290   ierr = VecGetLocalSize(rr,&nv);CHKERRQ(ierr);
1291   if (nv!=n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Left and right vector non-conforming local size");
1292 
1293   ierr = VecScatterBegin(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1294 
1295   /* left diagonalscale the off-diagonal part */
1296   ierr = (*b->ops->diagonalscale)(b,ll,PETSC_NULL);CHKERRQ(ierr);
1297 
1298   /* scale the diagonal part */
1299   ierr = (*a->ops->diagonalscale)(a,ll,rr);CHKERRQ(ierr);
1300 
1301   /* right diagonalscale the off-diagonal part */
1302   ierr = VecScatterEnd(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1303   ierr = (*b->ops->diagonalscale)(b,PETSC_NULL,baij->lvec);CHKERRQ(ierr);
1304   PetscFunctionReturn(0);
1305 }
1306 
1307 #undef __FUNCT__
1308 #define __FUNCT__ "MatSetUnfactored_MPISBAIJ"
1309 PetscErrorCode MatSetUnfactored_MPISBAIJ(Mat A)
1310 {
1311   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1312   PetscErrorCode ierr;
1313 
1314   PetscFunctionBegin;
1315   ierr = MatSetUnfactored(a->A);CHKERRQ(ierr);
1316   PetscFunctionReturn(0);
1317 }
1318 
1319 static PetscErrorCode MatDuplicate_MPISBAIJ(Mat,MatDuplicateOption,Mat *);
1320 
1321 #undef __FUNCT__
1322 #define __FUNCT__ "MatEqual_MPISBAIJ"
1323 PetscErrorCode MatEqual_MPISBAIJ(Mat A,Mat B,PetscBool  *flag)
1324 {
1325   Mat_MPISBAIJ   *matB = (Mat_MPISBAIJ*)B->data,*matA = (Mat_MPISBAIJ*)A->data;
1326   Mat            a,b,c,d;
1327   PetscBool      flg;
1328   PetscErrorCode ierr;
1329 
1330   PetscFunctionBegin;
1331   a = matA->A; b = matA->B;
1332   c = matB->A; d = matB->B;
1333 
1334   ierr = MatEqual(a,c,&flg);CHKERRQ(ierr);
1335   if (flg) {
1336     ierr = MatEqual(b,d,&flg);CHKERRQ(ierr);
1337   }
1338   ierr = MPI_Allreduce(&flg,flag,1,MPI_INT,MPI_LAND,((PetscObject)A)->comm);CHKERRQ(ierr);
1339   PetscFunctionReturn(0);
1340 }
1341 
1342 #undef __FUNCT__
1343 #define __FUNCT__ "MatCopy_MPISBAIJ"
1344 PetscErrorCode MatCopy_MPISBAIJ(Mat A,Mat B,MatStructure str)
1345 {
1346   PetscErrorCode ierr;
1347   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ *)A->data;
1348   Mat_MPISBAIJ   *b = (Mat_MPISBAIJ *)B->data;
1349 
1350   PetscFunctionBegin;
1351   /* If the two matrices don't have the same copy implementation, they aren't compatible for fast copy. */
1352   if ((str != SAME_NONZERO_PATTERN) || (A->ops->copy != B->ops->copy)) {
1353     ierr = MatGetRowUpperTriangular(A);CHKERRQ(ierr);
1354     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
1355     ierr = MatRestoreRowUpperTriangular(A);CHKERRQ(ierr);
1356   } else {
1357     ierr = MatCopy(a->A,b->A,str);CHKERRQ(ierr);
1358     ierr = MatCopy(a->B,b->B,str);CHKERRQ(ierr);
1359   }
1360   PetscFunctionReturn(0);
1361 }
1362 
1363 #undef __FUNCT__
1364 #define __FUNCT__ "MatSetUpPreallocation_MPISBAIJ"
1365 PetscErrorCode MatSetUpPreallocation_MPISBAIJ(Mat A)
1366 {
1367   PetscErrorCode ierr;
1368 
1369   PetscFunctionBegin;
1370   ierr = MatMPISBAIJSetPreallocation(A,-PetscMax(A->rmap->bs,1),PETSC_DEFAULT,0,PETSC_DEFAULT,0);CHKERRQ(ierr);
1371   PetscFunctionReturn(0);
1372 }
1373 
1374 #undef __FUNCT__
1375 #define __FUNCT__ "MatAXPY_MPISBAIJ"
1376 PetscErrorCode MatAXPY_MPISBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
1377 {
1378   PetscErrorCode ierr;
1379   Mat_MPISBAIJ   *xx=(Mat_MPISBAIJ *)X->data,*yy=(Mat_MPISBAIJ *)Y->data;
1380   PetscBLASInt   bnz,one=1;
1381   Mat_SeqSBAIJ   *xa,*ya;
1382   Mat_SeqBAIJ    *xb,*yb;
1383 
1384   PetscFunctionBegin;
1385   if (str == SAME_NONZERO_PATTERN) {
1386     PetscScalar alpha = a;
1387     xa = (Mat_SeqSBAIJ *)xx->A->data;
1388     ya = (Mat_SeqSBAIJ *)yy->A->data;
1389     bnz = PetscBLASIntCast(xa->nz);
1390     BLASaxpy_(&bnz,&alpha,xa->a,&one,ya->a,&one);
1391     xb = (Mat_SeqBAIJ *)xx->B->data;
1392     yb = (Mat_SeqBAIJ *)yy->B->data;
1393     bnz = PetscBLASIntCast(xb->nz);
1394     BLASaxpy_(&bnz,&alpha,xb->a,&one,yb->a,&one);
1395   } else {
1396     ierr = MatGetRowUpperTriangular(X);CHKERRQ(ierr);
1397     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
1398     ierr = MatRestoreRowUpperTriangular(X);CHKERRQ(ierr);
1399   }
1400   PetscFunctionReturn(0);
1401 }
1402 
1403 #undef __FUNCT__
1404 #define __FUNCT__ "MatSetBlockSize_MPISBAIJ"
1405 PetscErrorCode MatSetBlockSize_MPISBAIJ(Mat A,PetscInt bs)
1406 {
1407   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1408   PetscInt        rbs,cbs;
1409   PetscErrorCode  ierr;
1410 
1411   PetscFunctionBegin;
1412   ierr = MatSetBlockSize(a->A,bs);CHKERRQ(ierr);
1413   ierr = MatSetBlockSize(a->B,bs);CHKERRQ(ierr);
1414   ierr = PetscLayoutGetBlockSize(A->rmap,&rbs);CHKERRQ(ierr);
1415   ierr = PetscLayoutGetBlockSize(A->cmap,&cbs);CHKERRQ(ierr);
1416   if (rbs != bs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Attempt to set block size %d with SBAIJ %d",bs,rbs);
1417   if (cbs != bs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Attempt to set block size %d with SBAIJ %d",bs,cbs);
1418   PetscFunctionReturn(0);
1419 }
1420 
1421 #undef __FUNCT__
1422 #define __FUNCT__ "MatGetSubMatrices_MPISBAIJ"
1423 PetscErrorCode MatGetSubMatrices_MPISBAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
1424 {
1425   PetscErrorCode ierr;
1426   PetscInt       i;
1427   PetscBool      flg;
1428 
1429   PetscFunctionBegin;
1430   for (i=0; i<n; i++) {
1431     ierr = ISEqual(irow[i],icol[i],&flg);CHKERRQ(ierr);
1432     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Can only get symmetric submatrix for MPISBAIJ matrices");
1433   }
1434   ierr = MatGetSubMatrices_MPIBAIJ(A,n,irow,icol,scall,B);CHKERRQ(ierr);
1435   PetscFunctionReturn(0);
1436 }
1437 
1438 
1439 /* -------------------------------------------------------------------*/
1440 static struct _MatOps MatOps_Values = {
1441        MatSetValues_MPISBAIJ,
1442        MatGetRow_MPISBAIJ,
1443        MatRestoreRow_MPISBAIJ,
1444        MatMult_MPISBAIJ,
1445 /* 4*/ MatMultAdd_MPISBAIJ,
1446        MatMult_MPISBAIJ,       /* transpose versions are same as non-transpose */
1447        MatMultAdd_MPISBAIJ,
1448        0,
1449        0,
1450        0,
1451 /*10*/ 0,
1452        0,
1453        0,
1454        MatSOR_MPISBAIJ,
1455        MatTranspose_MPISBAIJ,
1456 /*15*/ MatGetInfo_MPISBAIJ,
1457        MatEqual_MPISBAIJ,
1458        MatGetDiagonal_MPISBAIJ,
1459        MatDiagonalScale_MPISBAIJ,
1460        MatNorm_MPISBAIJ,
1461 /*20*/ MatAssemblyBegin_MPISBAIJ,
1462        MatAssemblyEnd_MPISBAIJ,
1463        MatSetOption_MPISBAIJ,
1464        MatZeroEntries_MPISBAIJ,
1465 /*24*/ 0,
1466        0,
1467        0,
1468        0,
1469        0,
1470 /*29*/ MatSetUpPreallocation_MPISBAIJ,
1471        0,
1472        0,
1473        0,
1474        0,
1475 /*34*/ MatDuplicate_MPISBAIJ,
1476        0,
1477        0,
1478        0,
1479        0,
1480 /*39*/ MatAXPY_MPISBAIJ,
1481        MatGetSubMatrices_MPISBAIJ,
1482        MatIncreaseOverlap_MPISBAIJ,
1483        MatGetValues_MPISBAIJ,
1484        MatCopy_MPISBAIJ,
1485 /*44*/ 0,
1486        MatScale_MPISBAIJ,
1487        0,
1488        0,
1489        0,
1490 /*49*/ MatSetBlockSize_MPISBAIJ,
1491        0,
1492        0,
1493        0,
1494        0,
1495 /*54*/ 0,
1496        0,
1497        MatSetUnfactored_MPISBAIJ,
1498        0,
1499        MatSetValuesBlocked_MPISBAIJ,
1500 /*59*/ 0,
1501        0,
1502        0,
1503        0,
1504        0,
1505 /*64*/ 0,
1506        0,
1507        0,
1508        0,
1509        0,
1510 /*69*/ MatGetRowMaxAbs_MPISBAIJ,
1511        0,
1512        0,
1513        0,
1514        0,
1515 /*74*/ 0,
1516        0,
1517        0,
1518        0,
1519        0,
1520 /*79*/ 0,
1521        0,
1522        0,
1523        0,
1524        MatLoad_MPISBAIJ,
1525 /*84*/ 0,
1526        0,
1527        0,
1528        0,
1529        0,
1530 /*89*/ 0,
1531        0,
1532        0,
1533        0,
1534        0,
1535 /*94*/ 0,
1536        0,
1537        0,
1538        0,
1539        0,
1540 /*99*/ 0,
1541        0,
1542        0,
1543        0,
1544        0,
1545 /*104*/0,
1546        MatRealPart_MPISBAIJ,
1547        MatImaginaryPart_MPISBAIJ,
1548        MatGetRowUpperTriangular_MPISBAIJ,
1549        MatRestoreRowUpperTriangular_MPISBAIJ,
1550 /*109*/0,
1551        0,
1552        0,
1553        0,
1554        0,
1555 /*114*/0,
1556        0,
1557        0,
1558        0,
1559        0,
1560 /*119*/0,
1561        0,
1562        0,
1563        0
1564 };
1565 
1566 
1567 EXTERN_C_BEGIN
1568 #undef __FUNCT__
1569 #define __FUNCT__ "MatGetDiagonalBlock_MPISBAIJ"
1570 PetscErrorCode  MatGetDiagonalBlock_MPISBAIJ(Mat A,Mat *a)
1571 {
1572   PetscFunctionBegin;
1573   *a = ((Mat_MPISBAIJ *)A->data)->A;
1574   PetscFunctionReturn(0);
1575 }
1576 EXTERN_C_END
1577 
1578 EXTERN_C_BEGIN
1579 #undef __FUNCT__
1580 #define __FUNCT__ "MatMPISBAIJSetPreallocation_MPISBAIJ"
1581 PetscErrorCode  MatMPISBAIJSetPreallocation_MPISBAIJ(Mat B,PetscInt bs,PetscInt d_nz,PetscInt *d_nnz,PetscInt o_nz,PetscInt *o_nnz)
1582 {
1583   Mat_MPISBAIJ   *b;
1584   PetscErrorCode ierr;
1585   PetscInt       i,mbs,Mbs,newbs = PetscAbs(bs);
1586 
1587   PetscFunctionBegin;
1588   if (bs < 0){
1589     ierr = PetscOptionsBegin(((PetscObject)B)->comm,((PetscObject)B)->prefix,"Options for MPISBAIJ matrix","Mat");CHKERRQ(ierr);
1590       ierr = PetscOptionsInt("-mat_block_size","Set the blocksize used to store the matrix","MatMPIBAIJSetPreallocation",newbs,&newbs,PETSC_NULL);CHKERRQ(ierr);
1591     ierr = PetscOptionsEnd();CHKERRQ(ierr);
1592     bs   = PetscAbs(bs);
1593   }
1594   if ((d_nnz || o_nnz) && newbs != bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Cannot change blocksize from command line if setting d_nnz or o_nnz");
1595   bs = newbs;
1596 
1597   if (d_nz == PETSC_DECIDE || d_nz == PETSC_DEFAULT) d_nz = 3;
1598   if (o_nz == PETSC_DECIDE || o_nz == PETSC_DEFAULT) o_nz = 1;
1599   if (d_nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"d_nz cannot be less than 0: value %D",d_nz);
1600   if (o_nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"o_nz cannot be less than 0: value %D",o_nz);
1601 
1602   B->rmap->bs = B->cmap->bs = bs;
1603   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1604   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1605 
1606   if (d_nnz) {
1607     for (i=0; i<B->rmap->n/bs; i++) {
1608       if (d_nnz[i] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"d_nnz cannot be less than -1: local row %D value %D",i,d_nnz[i]);
1609     }
1610   }
1611   if (o_nnz) {
1612     for (i=0; i<B->rmap->n/bs; i++) {
1613       if (o_nnz[i] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"o_nnz cannot be less than -1: local row %D value %D",i,o_nnz[i]);
1614     }
1615   }
1616 
1617   b   = (Mat_MPISBAIJ*)B->data;
1618   mbs = B->rmap->n/bs;
1619   Mbs = B->rmap->N/bs;
1620   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);
1621 
1622   B->rmap->bs  = bs;
1623   b->bs2 = bs*bs;
1624   b->mbs = mbs;
1625   b->nbs = mbs;
1626   b->Mbs = Mbs;
1627   b->Nbs = Mbs;
1628 
1629   for (i=0; i<=b->size; i++) {
1630     b->rangebs[i] = B->rmap->range[i]/bs;
1631   }
1632   b->rstartbs = B->rmap->rstart/bs;
1633   b->rendbs   = B->rmap->rend/bs;
1634 
1635   b->cstartbs = B->cmap->rstart/bs;
1636   b->cendbs   = B->cmap->rend/bs;
1637 
1638   if (!B->preallocated) {
1639     ierr = MatCreate(PETSC_COMM_SELF,&b->A);CHKERRQ(ierr);
1640     ierr = MatSetSizes(b->A,B->rmap->n,B->cmap->n,B->rmap->n,B->cmap->n);CHKERRQ(ierr);
1641     ierr = MatSetType(b->A,MATSEQSBAIJ);CHKERRQ(ierr);
1642     ierr = PetscLogObjectParent(B,b->A);CHKERRQ(ierr);
1643     ierr = MatCreate(PETSC_COMM_SELF,&b->B);CHKERRQ(ierr);
1644     ierr = MatSetSizes(b->B,B->rmap->n,B->cmap->N,B->rmap->n,B->cmap->N);CHKERRQ(ierr);
1645     ierr = MatSetType(b->B,MATSEQBAIJ);CHKERRQ(ierr);
1646     ierr = PetscLogObjectParent(B,b->B);CHKERRQ(ierr);
1647     ierr = MatStashCreate_Private(((PetscObject)B)->comm,bs,&B->bstash);CHKERRQ(ierr);
1648   }
1649 
1650   ierr = MatSeqSBAIJSetPreallocation(b->A,bs,d_nz,d_nnz);CHKERRQ(ierr);
1651   ierr = MatSeqBAIJSetPreallocation(b->B,bs,o_nz,o_nnz);CHKERRQ(ierr);
1652   B->preallocated = PETSC_TRUE;
1653   ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
1654   PetscFunctionReturn(0);
1655 }
1656 EXTERN_C_END
1657 
1658 EXTERN_C_BEGIN
1659 #undef __FUNCT__
1660 #define __FUNCT__ "MatMPISBAIJSetPreallocationCSR_MPISBAIJ"
1661 PetscErrorCode MatMPISBAIJSetPreallocationCSR_MPISBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
1662 {
1663   PetscInt       m,rstart,cstart,cend;
1664   PetscInt       i,j,d,nz,nz_max=0,*d_nnz=0,*o_nnz=0;
1665   const PetscInt *JJ=0;
1666   PetscScalar    *values=0;
1667   PetscErrorCode ierr;
1668 
1669   PetscFunctionBegin;
1670 
1671   if (bs < 1) SETERRQ1(((PetscObject)B)->comm,PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive but it is %D",bs);
1672   ierr = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
1673   ierr = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
1674   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1675   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1676   m      = B->rmap->n/bs;
1677   rstart = B->rmap->rstart/bs;
1678   cstart = B->cmap->rstart/bs;
1679   cend   = B->cmap->rend/bs;
1680 
1681   if (ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"ii[0] must be 0 but it is %D",ii[0]);
1682   ierr  = PetscMalloc2(m,PetscInt,&d_nnz,m,PetscInt,&o_nnz);CHKERRQ(ierr);
1683   for (i=0; i<m; i++) {
1684     nz = ii[i+1] - ii[i];
1685     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Local row %D has a negative number of columns %D",i,nz);
1686     nz_max = PetscMax(nz_max,nz);
1687     JJ  = jj + ii[i];
1688     for (j=0; j<nz; j++) {
1689       if (*JJ >= cstart) break;
1690       JJ++;
1691     }
1692     d = 0;
1693     for (; j<nz; j++) {
1694       if (*JJ++ >= cend) break;
1695       d++;
1696     }
1697     d_nnz[i] = d;
1698     o_nnz[i] = nz - d;
1699   }
1700   ierr = MatMPISBAIJSetPreallocation(B,bs,0,d_nnz,0,o_nnz);CHKERRQ(ierr);
1701   ierr = PetscFree2(d_nnz,o_nnz);CHKERRQ(ierr);
1702 
1703   values = (PetscScalar*)V;
1704   if (!values) {
1705     ierr = PetscMalloc(bs*bs*nz_max*sizeof(PetscScalar),&values);CHKERRQ(ierr);
1706     ierr = PetscMemzero(values,bs*bs*nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
1707   }
1708   for (i=0; i<m; i++) {
1709     PetscInt          row    = i + rstart;
1710     PetscInt          ncols  = ii[i+1] - ii[i];
1711     const PetscInt    *icols = jj + ii[i];
1712     const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
1713     ierr = MatSetValuesBlocked_MPISBAIJ(B,1,&row,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
1714   }
1715 
1716   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
1717   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1718   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1719   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
1720   PetscFunctionReturn(0);
1721 }
1722 EXTERN_C_END
1723 
1724 EXTERN_C_BEGIN
1725 #if defined(PETSC_HAVE_MUMPS)
1726 extern PetscErrorCode  MatGetFactor_sbaij_mumps(Mat,MatFactorType,Mat*);
1727 #endif
1728 #if defined(PETSC_HAVE_SPOOLES)
1729 extern PetscErrorCode  MatGetFactor_mpisbaij_spooles(Mat,MatFactorType,Mat*);
1730 #endif
1731 #if defined(PETSC_HAVE_PASTIX)
1732 extern PetscErrorCode MatGetFactor_mpisbaij_pastix(Mat,MatFactorType,Mat*);
1733 #endif
1734 EXTERN_C_END
1735 
1736 /*MC
1737    MATMPISBAIJ - MATMPISBAIJ = "mpisbaij" - A matrix type to be used for distributed symmetric sparse block matrices,
1738    based on block compressed sparse row format.  Only the upper triangular portion of the "diagonal" portion of
1739    the matrix is stored.
1740 
1741   For complex numbers by default this matrix is symmetric, NOT Hermitian symmetric. To make it Hermitian symmetric you
1742   can call MatSetOption(Mat, MAT_HERMITIAN);
1743 
1744    Options Database Keys:
1745 . -mat_type mpisbaij - sets the matrix type to "mpisbaij" during a call to MatSetFromOptions()
1746 
1747   Level: beginner
1748 
1749 .seealso: MatCreateMPISBAIJ
1750 M*/
1751 
1752 EXTERN_C_BEGIN
1753 extern PetscErrorCode MatConvert_MPISBAIJ_MPISBSTRM(Mat,const MatType,MatReuse,Mat*);
1754 EXTERN_C_END
1755 
1756 EXTERN_C_BEGIN
1757 #undef __FUNCT__
1758 #define __FUNCT__ "MatCreate_MPISBAIJ"
1759 PetscErrorCode  MatCreate_MPISBAIJ(Mat B)
1760 {
1761   Mat_MPISBAIJ   *b;
1762   PetscErrorCode ierr;
1763   PetscBool      flg;
1764 
1765   PetscFunctionBegin;
1766 
1767   ierr    = PetscNewLog(B,Mat_MPISBAIJ,&b);CHKERRQ(ierr);
1768   B->data = (void*)b;
1769   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
1770 
1771   B->ops->destroy    = MatDestroy_MPISBAIJ;
1772   B->ops->view       = MatView_MPISBAIJ;
1773   B->assembled       = PETSC_FALSE;
1774 
1775   B->insertmode = NOT_SET_VALUES;
1776   ierr = MPI_Comm_rank(((PetscObject)B)->comm,&b->rank);CHKERRQ(ierr);
1777   ierr = MPI_Comm_size(((PetscObject)B)->comm,&b->size);CHKERRQ(ierr);
1778 
1779   /* build local table of row and column ownerships */
1780   ierr  = PetscMalloc((b->size+2)*sizeof(PetscInt),&b->rangebs);CHKERRQ(ierr);
1781 
1782   /* build cache for off array entries formed */
1783   ierr = MatStashCreate_Private(((PetscObject)B)->comm,1,&B->stash);CHKERRQ(ierr);
1784   b->donotstash  = PETSC_FALSE;
1785   b->colmap      = PETSC_NULL;
1786   b->garray      = PETSC_NULL;
1787   b->roworiented = PETSC_TRUE;
1788 
1789   /* stuff used in block assembly */
1790   b->barray       = 0;
1791 
1792   /* stuff used for matrix vector multiply */
1793   b->lvec         = 0;
1794   b->Mvctx        = 0;
1795   b->slvec0       = 0;
1796   b->slvec0b      = 0;
1797   b->slvec1       = 0;
1798   b->slvec1a      = 0;
1799   b->slvec1b      = 0;
1800   b->sMvctx       = 0;
1801 
1802   /* stuff for MatGetRow() */
1803   b->rowindices   = 0;
1804   b->rowvalues    = 0;
1805   b->getrowactive = PETSC_FALSE;
1806 
1807   /* hash table stuff */
1808   b->ht           = 0;
1809   b->hd           = 0;
1810   b->ht_size      = 0;
1811   b->ht_flag      = PETSC_FALSE;
1812   b->ht_fact      = 0;
1813   b->ht_total_ct  = 0;
1814   b->ht_insert_ct = 0;
1815 
1816   /* stuff for MatGetSubMatrices_MPIBAIJ_local() */
1817   b->ijonly       = PETSC_FALSE;
1818 
1819   b->in_loc       = 0;
1820   b->v_loc        = 0;
1821   b->n_loc        = 0;
1822   ierr = PetscOptionsBegin(((PetscObject)B)->comm,PETSC_NULL,"Options for loading MPISBAIJ matrix 1","Mat");CHKERRQ(ierr);
1823     ierr = PetscOptionsBool("-mat_use_hash_table","Use hash table to save memory in constructing matrix","MatSetOption",PETSC_FALSE,&flg,PETSC_NULL);CHKERRQ(ierr);
1824     if (flg) {
1825       PetscReal fact = 1.39;
1826       ierr = MatSetOption(B,MAT_USE_HASH_TABLE,PETSC_TRUE);CHKERRQ(ierr);
1827       ierr = PetscOptionsReal("-mat_use_hash_table","Use hash table factor","MatMPIBAIJSetHashTableFactor",fact,&fact,PETSC_NULL);CHKERRQ(ierr);
1828       if (fact <= 1.0) fact = 1.39;
1829       ierr = MatMPIBAIJSetHashTableFactor(B,fact);CHKERRQ(ierr);
1830       ierr = PetscInfo1(B,"Hash table Factor used %5.2f\n",fact);CHKERRQ(ierr);
1831     }
1832   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1833 
1834 #if defined(PETSC_HAVE_PASTIX)
1835   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_pastix_C",
1836 					   "MatGetFactor_mpisbaij_pastix",
1837 					   MatGetFactor_mpisbaij_pastix);CHKERRQ(ierr);
1838 #endif
1839 #if defined(PETSC_HAVE_MUMPS)
1840   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_mumps_C",
1841                                      "MatGetFactor_sbaij_mumps",
1842                                      MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
1843 #endif
1844 #if defined(PETSC_HAVE_SPOOLES)
1845   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_spooles_C",
1846                                      "MatGetFactor_mpisbaij_spooles",
1847                                      MatGetFactor_mpisbaij_spooles);CHKERRQ(ierr);
1848 #endif
1849   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatStoreValues_C",
1850                                      "MatStoreValues_MPISBAIJ",
1851                                      MatStoreValues_MPISBAIJ);CHKERRQ(ierr);
1852   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatRetrieveValues_C",
1853                                      "MatRetrieveValues_MPISBAIJ",
1854                                      MatRetrieveValues_MPISBAIJ);CHKERRQ(ierr);
1855   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetDiagonalBlock_C",
1856                                      "MatGetDiagonalBlock_MPISBAIJ",
1857                                      MatGetDiagonalBlock_MPISBAIJ);CHKERRQ(ierr);
1858   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMPISBAIJSetPreallocation_C",
1859                                      "MatMPISBAIJSetPreallocation_MPISBAIJ",
1860                                      MatMPISBAIJSetPreallocation_MPISBAIJ);CHKERRQ(ierr);
1861   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMPISBAIJSetPreallocationCSR_C",
1862                                      "MatMPISBAIJSetPreallocationCSR_MPISBAIJ",
1863                                      MatMPISBAIJSetPreallocationCSR_MPISBAIJ);CHKERRQ(ierr);
1864   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_mpisbaij_mpisbstrm_C",
1865                                      "MatConvert_MPISBAIJ_MPISBSTRM",
1866                                       MatConvert_MPISBAIJ_MPISBSTRM);CHKERRQ(ierr);
1867 
1868   B->symmetric                  = PETSC_TRUE;
1869   B->structurally_symmetric     = PETSC_TRUE;
1870   B->symmetric_set              = PETSC_TRUE;
1871   B->structurally_symmetric_set = PETSC_TRUE;
1872   ierr = PetscObjectChangeTypeName((PetscObject)B,MATMPISBAIJ);CHKERRQ(ierr);
1873   PetscFunctionReturn(0);
1874 }
1875 EXTERN_C_END
1876 
1877 /*MC
1878    MATSBAIJ - MATSBAIJ = "sbaij" - A matrix type to be used for symmetric block sparse matrices.
1879 
1880    This matrix type is identical to MATSEQSBAIJ when constructed with a single process communicator,
1881    and MATMPISBAIJ otherwise.
1882 
1883    Options Database Keys:
1884 . -mat_type sbaij - sets the matrix type to "sbaij" during a call to MatSetFromOptions()
1885 
1886   Level: beginner
1887 
1888 .seealso: MatCreateMPISBAIJ,MATSEQSBAIJ,MATMPISBAIJ
1889 M*/
1890 
1891 #undef __FUNCT__
1892 #define __FUNCT__ "MatMPISBAIJSetPreallocation"
1893 /*@C
1894    MatMPISBAIJSetPreallocation - For good matrix assembly performance
1895    the user should preallocate the matrix storage by setting the parameters
1896    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
1897    performance can be increased by more than a factor of 50.
1898 
1899    Collective on Mat
1900 
1901    Input Parameters:
1902 +  A - the matrix
1903 .  bs   - size of blockk
1904 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
1905            submatrix  (same for all local rows)
1906 .  d_nnz - array containing the number of block nonzeros in the various block rows
1907            in the upper triangular and diagonal part of the in diagonal portion of the local
1908            (possibly different for each block row) or PETSC_NULL.  You must leave room
1909            for the diagonal entry even if it is zero.
1910 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
1911            submatrix (same for all local rows).
1912 -  o_nnz - array containing the number of nonzeros in the various block rows of the
1913            off-diagonal portion of the local submatrix that is right of the diagonal
1914            (possibly different for each block row) or PETSC_NULL.
1915 
1916 
1917    Options Database Keys:
1918 .   -mat_no_unroll - uses code that does not unroll the loops in the
1919                      block calculations (much slower)
1920 .   -mat_block_size - size of the blocks to use
1921 
1922    Notes:
1923 
1924    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
1925    than it must be used on all processors that share the object for that argument.
1926 
1927    If the *_nnz parameter is given then the *_nz parameter is ignored
1928 
1929    Storage Information:
1930    For a square global matrix we define each processor's diagonal portion
1931    to be its local rows and the corresponding columns (a square submatrix);
1932    each processor's off-diagonal portion encompasses the remainder of the
1933    local matrix (a rectangular submatrix).
1934 
1935    The user can specify preallocated storage for the diagonal part of
1936    the local submatrix with either d_nz or d_nnz (not both).  Set
1937    d_nz=PETSC_DEFAULT and d_nnz=PETSC_NULL for PETSc to control dynamic
1938    memory allocation.  Likewise, specify preallocated storage for the
1939    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
1940 
1941    You can call MatGetInfo() to get information on how effective the preallocation was;
1942    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
1943    You can also run with the option -info and look for messages with the string
1944    malloc in them to see if additional memory allocation was needed.
1945 
1946    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
1947    the figure below we depict these three local rows and all columns (0-11).
1948 
1949 .vb
1950            0 1 2 3 4 5 6 7 8 9 10 11
1951           -------------------
1952    row 3  |  . . . d d d o o o o o o
1953    row 4  |  . . . d d d o o o o o o
1954    row 5  |  . . . d d d o o o o o o
1955           -------------------
1956 .ve
1957 
1958    Thus, any entries in the d locations are stored in the d (diagonal)
1959    submatrix, and any entries in the o locations are stored in the
1960    o (off-diagonal) submatrix.  Note that the d matrix is stored in
1961    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
1962 
1963    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
1964    plus the diagonal part of the d matrix,
1965    and o_nz should indicate the number of block nonzeros per row in the o matrix
1966 
1967    In general, for PDE problems in which most nonzeros are near the diagonal,
1968    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
1969    or you will get TERRIBLE performance; see the users' manual chapter on
1970    matrices.
1971 
1972    Level: intermediate
1973 
1974 .keywords: matrix, block, aij, compressed row, sparse, parallel
1975 
1976 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateMPIBAIJ()
1977 @*/
1978 PetscErrorCode  MatMPISBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
1979 {
1980   PetscErrorCode ierr;
1981 
1982   PetscFunctionBegin;
1983   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
1984   PetscValidType(B,1);
1985   PetscValidLogicalCollectiveInt(B,bs,2);
1986   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);
1987   PetscFunctionReturn(0);
1988 }
1989 
1990 #undef __FUNCT__
1991 #define __FUNCT__ "MatCreateMPISBAIJ"
1992 /*@C
1993    MatCreateMPISBAIJ - Creates a sparse parallel matrix in symmetric block AIJ format
1994    (block compressed row).  For good matrix assembly performance
1995    the user should preallocate the matrix storage by setting the parameters
1996    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
1997    performance can be increased by more than a factor of 50.
1998 
1999    Collective on MPI_Comm
2000 
2001    Input Parameters:
2002 +  comm - MPI communicator
2003 .  bs   - size of blockk
2004 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
2005            This value should be the same as the local size used in creating the
2006            y vector for the matrix-vector product y = Ax.
2007 .  n - number of local columns (or PETSC_DECIDE to have calculated if N is given)
2008            This value should be the same as the local size used in creating the
2009            x vector for the matrix-vector product y = Ax.
2010 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
2011 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
2012 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
2013            submatrix  (same for all local rows)
2014 .  d_nnz - array containing the number of block nonzeros in the various block rows
2015            in the upper triangular portion of the in diagonal portion of the local
2016            (possibly different for each block block row) or PETSC_NULL.
2017            You must leave room for the diagonal entry even if it is zero.
2018 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
2019            submatrix (same for all local rows).
2020 -  o_nnz - array containing the number of nonzeros in the various block rows of the
2021            off-diagonal portion of the local submatrix (possibly different for
2022            each block row) or PETSC_NULL.
2023 
2024    Output Parameter:
2025 .  A - the matrix
2026 
2027    Options Database Keys:
2028 .   -mat_no_unroll - uses code that does not unroll the loops in the
2029                      block calculations (much slower)
2030 .   -mat_block_size - size of the blocks to use
2031 .   -mat_mpi - use the parallel matrix data structures even on one processor
2032                (defaults to using SeqBAIJ format on one processor)
2033 
2034    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
2035    MatXXXXSetPreallocation() paradgm instead of this routine directly.
2036    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
2037 
2038    Notes:
2039    The number of rows and columns must be divisible by blocksize.
2040    This matrix type does not support complex Hermitian operation.
2041 
2042    The user MUST specify either the local or global matrix dimensions
2043    (possibly both).
2044 
2045    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
2046    than it must be used on all processors that share the object for that argument.
2047 
2048    If the *_nnz parameter is given then the *_nz parameter is ignored
2049 
2050    Storage Information:
2051    For a square global matrix we define each processor's diagonal portion
2052    to be its local rows and the corresponding columns (a square submatrix);
2053    each processor's off-diagonal portion encompasses the remainder of the
2054    local matrix (a rectangular submatrix).
2055 
2056    The user can specify preallocated storage for the diagonal part of
2057    the local submatrix with either d_nz or d_nnz (not both).  Set
2058    d_nz=PETSC_DEFAULT and d_nnz=PETSC_NULL for PETSc to control dynamic
2059    memory allocation.  Likewise, specify preallocated storage for the
2060    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
2061 
2062    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
2063    the figure below we depict these three local rows and all columns (0-11).
2064 
2065 .vb
2066            0 1 2 3 4 5 6 7 8 9 10 11
2067           -------------------
2068    row 3  |  . . . d d d o o o o o o
2069    row 4  |  . . . d d d o o o o o o
2070    row 5  |  . . . d d d o o o o o o
2071           -------------------
2072 .ve
2073 
2074    Thus, any entries in the d locations are stored in the d (diagonal)
2075    submatrix, and any entries in the o locations are stored in the
2076    o (off-diagonal) submatrix.  Note that the d matrix is stored in
2077    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
2078 
2079    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
2080    plus the diagonal part of the d matrix,
2081    and o_nz should indicate the number of block nonzeros per row in the o matrix.
2082    In general, for PDE problems in which most nonzeros are near the diagonal,
2083    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
2084    or you will get TERRIBLE performance; see the users' manual chapter on
2085    matrices.
2086 
2087    Level: intermediate
2088 
2089 .keywords: matrix, block, aij, compressed row, sparse, parallel
2090 
2091 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateMPIBAIJ()
2092 @*/
2093 
2094 PetscErrorCode  MatCreateMPISBAIJ(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)
2095 {
2096   PetscErrorCode ierr;
2097   PetscMPIInt    size;
2098 
2099   PetscFunctionBegin;
2100   ierr = MatCreate(comm,A);CHKERRQ(ierr);
2101   ierr = MatSetSizes(*A,m,n,M,N);CHKERRQ(ierr);
2102   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2103   if (size > 1) {
2104     ierr = MatSetType(*A,MATMPISBAIJ);CHKERRQ(ierr);
2105     ierr = MatMPISBAIJSetPreallocation(*A,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
2106   } else {
2107     ierr = MatSetType(*A,MATSEQSBAIJ);CHKERRQ(ierr);
2108     ierr = MatSeqSBAIJSetPreallocation(*A,bs,d_nz,d_nnz);CHKERRQ(ierr);
2109   }
2110   PetscFunctionReturn(0);
2111 }
2112 
2113 
2114 #undef __FUNCT__
2115 #define __FUNCT__ "MatDuplicate_MPISBAIJ"
2116 static PetscErrorCode MatDuplicate_MPISBAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
2117 {
2118   Mat            mat;
2119   Mat_MPISBAIJ   *a,*oldmat = (Mat_MPISBAIJ*)matin->data;
2120   PetscErrorCode ierr;
2121   PetscInt       len=0,nt,bs=matin->rmap->bs,mbs=oldmat->mbs;
2122   PetscScalar    *array;
2123 
2124   PetscFunctionBegin;
2125   *newmat       = 0;
2126   ierr = MatCreate(((PetscObject)matin)->comm,&mat);CHKERRQ(ierr);
2127   ierr = MatSetSizes(mat,matin->rmap->n,matin->cmap->n,matin->rmap->N,matin->cmap->N);CHKERRQ(ierr);
2128   ierr = MatSetType(mat,((PetscObject)matin)->type_name);CHKERRQ(ierr);
2129   ierr = PetscMemcpy(mat->ops,matin->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
2130   ierr = PetscLayoutReference(matin->rmap,&mat->rmap);CHKERRQ(ierr);
2131   ierr = PetscLayoutReference(matin->cmap,&mat->cmap);CHKERRQ(ierr);
2132 
2133   mat->factortype   = matin->factortype;
2134   mat->preallocated = PETSC_TRUE;
2135   mat->assembled    = PETSC_TRUE;
2136   mat->insertmode   = NOT_SET_VALUES;
2137 
2138   a = (Mat_MPISBAIJ*)mat->data;
2139   a->bs2   = oldmat->bs2;
2140   a->mbs   = oldmat->mbs;
2141   a->nbs   = oldmat->nbs;
2142   a->Mbs   = oldmat->Mbs;
2143   a->Nbs   = oldmat->Nbs;
2144 
2145 
2146   a->size         = oldmat->size;
2147   a->rank         = oldmat->rank;
2148   a->donotstash   = oldmat->donotstash;
2149   a->roworiented  = oldmat->roworiented;
2150   a->rowindices   = 0;
2151   a->rowvalues    = 0;
2152   a->getrowactive = PETSC_FALSE;
2153   a->barray       = 0;
2154   a->rstartbs    = oldmat->rstartbs;
2155   a->rendbs      = oldmat->rendbs;
2156   a->cstartbs    = oldmat->cstartbs;
2157   a->cendbs      = oldmat->cendbs;
2158 
2159   /* hash table stuff */
2160   a->ht           = 0;
2161   a->hd           = 0;
2162   a->ht_size      = 0;
2163   a->ht_flag      = oldmat->ht_flag;
2164   a->ht_fact      = oldmat->ht_fact;
2165   a->ht_total_ct  = 0;
2166   a->ht_insert_ct = 0;
2167 
2168   ierr = PetscMemcpy(a->rangebs,oldmat->rangebs,(a->size+2)*sizeof(PetscInt));CHKERRQ(ierr);
2169   if (oldmat->colmap) {
2170 #if defined (PETSC_USE_CTABLE)
2171     ierr = PetscTableCreateCopy(oldmat->colmap,&a->colmap);CHKERRQ(ierr);
2172 #else
2173     ierr = PetscMalloc((a->Nbs)*sizeof(PetscInt),&a->colmap);CHKERRQ(ierr);
2174     ierr = PetscLogObjectMemory(mat,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2175     ierr = PetscMemcpy(a->colmap,oldmat->colmap,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2176 #endif
2177   } else a->colmap = 0;
2178 
2179   if (oldmat->garray && (len = ((Mat_SeqBAIJ*)(oldmat->B->data))->nbs)) {
2180     ierr = PetscMalloc(len*sizeof(PetscInt),&a->garray);CHKERRQ(ierr);
2181     ierr = PetscLogObjectMemory(mat,len*sizeof(PetscInt));CHKERRQ(ierr);
2182     ierr = PetscMemcpy(a->garray,oldmat->garray,len*sizeof(PetscInt));CHKERRQ(ierr);
2183   } else a->garray = 0;
2184 
2185   ierr = MatStashCreate_Private(((PetscObject)matin)->comm,matin->rmap->bs,&mat->bstash);CHKERRQ(ierr);
2186   ierr = VecDuplicate(oldmat->lvec,&a->lvec);CHKERRQ(ierr);
2187   ierr = PetscLogObjectParent(mat,a->lvec);CHKERRQ(ierr);
2188   ierr = VecScatterCopy(oldmat->Mvctx,&a->Mvctx);CHKERRQ(ierr);
2189   ierr = PetscLogObjectParent(mat,a->Mvctx);CHKERRQ(ierr);
2190 
2191   ierr =  VecDuplicate(oldmat->slvec0,&a->slvec0);CHKERRQ(ierr);
2192   ierr = PetscLogObjectParent(mat,a->slvec0);CHKERRQ(ierr);
2193   ierr =  VecDuplicate(oldmat->slvec1,&a->slvec1);CHKERRQ(ierr);
2194   ierr = PetscLogObjectParent(mat,a->slvec1);CHKERRQ(ierr);
2195 
2196   ierr = VecGetLocalSize(a->slvec1,&nt);CHKERRQ(ierr);
2197   ierr = VecGetArray(a->slvec1,&array);CHKERRQ(ierr);
2198   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,bs*mbs,array,&a->slvec1a);CHKERRQ(ierr);
2199   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,nt-bs*mbs,array+bs*mbs,&a->slvec1b);CHKERRQ(ierr);
2200   ierr = VecRestoreArray(a->slvec1,&array);CHKERRQ(ierr);
2201   ierr = VecGetArray(a->slvec0,&array);CHKERRQ(ierr);
2202   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,nt-bs*mbs,array+bs*mbs,&a->slvec0b);CHKERRQ(ierr);
2203   ierr = VecRestoreArray(a->slvec0,&array);CHKERRQ(ierr);
2204   ierr = PetscLogObjectParent(mat,a->slvec0);CHKERRQ(ierr);
2205   ierr = PetscLogObjectParent(mat,a->slvec1);CHKERRQ(ierr);
2206   ierr = PetscLogObjectParent(mat,a->slvec0b);CHKERRQ(ierr);
2207   ierr = PetscLogObjectParent(mat,a->slvec1a);CHKERRQ(ierr);
2208   ierr = PetscLogObjectParent(mat,a->slvec1b);CHKERRQ(ierr);
2209 
2210   /* ierr =  VecScatterCopy(oldmat->sMvctx,&a->sMvctx); - not written yet, replaced by the lazy trick: */
2211   ierr = PetscObjectReference((PetscObject)oldmat->sMvctx);CHKERRQ(ierr);
2212   a->sMvctx = oldmat->sMvctx;
2213   ierr = PetscLogObjectParent(mat,a->sMvctx);CHKERRQ(ierr);
2214 
2215   ierr =  MatDuplicate(oldmat->A,cpvalues,&a->A);CHKERRQ(ierr);
2216   ierr = PetscLogObjectParent(mat,a->A);CHKERRQ(ierr);
2217   ierr =  MatDuplicate(oldmat->B,cpvalues,&a->B);CHKERRQ(ierr);
2218   ierr = PetscLogObjectParent(mat,a->B);CHKERRQ(ierr);
2219   ierr = PetscFListDuplicate(((PetscObject)matin)->qlist,&((PetscObject)mat)->qlist);CHKERRQ(ierr);
2220   *newmat = mat;
2221   PetscFunctionReturn(0);
2222 }
2223 
2224 #undef __FUNCT__
2225 #define __FUNCT__ "MatLoad_MPISBAIJ"
2226 PetscErrorCode MatLoad_MPISBAIJ(Mat newmat,PetscViewer viewer)
2227 {
2228   PetscErrorCode ierr;
2229   PetscInt       i,nz,j,rstart,rend;
2230   PetscScalar    *vals,*buf;
2231   MPI_Comm       comm = ((PetscObject)viewer)->comm;
2232   MPI_Status     status;
2233   PetscMPIInt    rank,size,tag = ((PetscObject)viewer)->tag,*sndcounts = 0,*browners,maxnz,*rowners,*locrowlens,mmbs;
2234   PetscInt       header[4],*rowlengths = 0,M,N,m,*cols;
2235   PetscInt       *procsnz = 0,jj,*mycols,*ibuf;
2236   PetscInt       bs=1,Mbs,mbs,extra_rows;
2237   PetscInt       *dlens,*odlens,*mask,*masked1,*masked2,rowcount,odcount;
2238   PetscInt       dcount,kmax,k,nzcount,tmp,sizesset=1,grows,gcols;
2239   int            fd;
2240 
2241   PetscFunctionBegin;
2242   ierr = PetscOptionsBegin(comm,PETSC_NULL,"Options for loading MPISBAIJ matrix 2","Mat");CHKERRQ(ierr);
2243     ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,PETSC_NULL);CHKERRQ(ierr);
2244   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2245 
2246   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2247   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
2248   if (!rank) {
2249     ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
2250     ierr = PetscBinaryRead(fd,(char *)header,4,PETSC_INT);CHKERRQ(ierr);
2251     if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
2252     if (header[3] < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as MPISBAIJ");
2253   }
2254 
2255   if (newmat->rmap->n < 0 && newmat->rmap->N < 0 && newmat->cmap->n < 0 && newmat->cmap->N < 0) sizesset = 0;
2256 
2257   ierr = MPI_Bcast(header+1,3,MPIU_INT,0,comm);CHKERRQ(ierr);
2258   M = header[1]; N = header[2];
2259 
2260   /* If global rows/cols are set to PETSC_DECIDE, set it to the sizes given in the file */
2261   if (sizesset && newmat->rmap->N < 0) newmat->rmap->N = M;
2262   if (sizesset && newmat->cmap->N < 0) newmat->cmap->N = N;
2263 
2264   /* If global sizes are set, check if they are consistent with that given in the file */
2265   if (sizesset) {
2266     ierr = MatGetSize(newmat,&grows,&gcols);CHKERRQ(ierr);
2267   }
2268   if (sizesset && newmat->rmap->N != grows) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED, "Inconsistent # of rows:Matrix in file has (%d) and input matrix has (%d)",M,grows);
2269   if (sizesset && newmat->cmap->N != gcols) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED, "Inconsistent # of cols:Matrix in file has (%d) and input matrix has (%d)",N,gcols);
2270 
2271   if (M != N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Can only do square matrices");
2272 
2273   /*
2274      This code adds extra rows to make sure the number of rows is
2275      divisible by the blocksize
2276   */
2277   Mbs        = M/bs;
2278   extra_rows = bs - M + bs*(Mbs);
2279   if (extra_rows == bs) extra_rows = 0;
2280   else                  Mbs++;
2281   if (extra_rows &&!rank) {
2282     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
2283   }
2284 
2285   /* determine ownership of all rows */
2286   if (newmat->rmap->n < 0) { /* PETSC_DECIDE */
2287     mbs        = Mbs/size + ((Mbs % size) > rank);
2288     m          = mbs*bs;
2289   } else { /* User Set */
2290     m          = newmat->rmap->n;
2291     mbs        = m/bs;
2292   }
2293   ierr       = PetscMalloc2(size+1,PetscMPIInt,&rowners,size+1,PetscMPIInt,&browners);CHKERRQ(ierr);
2294   mmbs       = PetscMPIIntCast(mbs);
2295   ierr       = MPI_Allgather(&mmbs,1,MPI_INT,rowners+1,1,MPI_INT,comm);CHKERRQ(ierr);
2296   rowners[0] = 0;
2297   for (i=2; i<=size; i++) rowners[i] += rowners[i-1];
2298   for (i=0; i<=size;  i++) browners[i] = rowners[i]*bs;
2299   rstart = rowners[rank];
2300   rend   = rowners[rank+1];
2301 
2302   /* distribute row lengths to all processors */
2303   ierr = PetscMalloc((rend-rstart)*bs*sizeof(PetscMPIInt),&locrowlens);CHKERRQ(ierr);
2304   if (!rank) {
2305     ierr = PetscMalloc((M+extra_rows)*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
2306     ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
2307     for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
2308     ierr = PetscMalloc(size*sizeof(PetscMPIInt),&sndcounts);CHKERRQ(ierr);
2309     for (i=0; i<size; i++) sndcounts[i] = browners[i+1] - browners[i];
2310     ierr = MPI_Scatterv(rowlengths,sndcounts,browners,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2311     ierr = PetscFree(sndcounts);CHKERRQ(ierr);
2312   } else {
2313     ierr = MPI_Scatterv(0,0,0,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2314   }
2315 
2316   if (!rank) {   /* procs[0] */
2317     /* calculate the number of nonzeros on each processor */
2318     ierr = PetscMalloc(size*sizeof(PetscInt),&procsnz);CHKERRQ(ierr);
2319     ierr = PetscMemzero(procsnz,size*sizeof(PetscInt));CHKERRQ(ierr);
2320     for (i=0; i<size; i++) {
2321       for (j=rowners[i]*bs; j< rowners[i+1]*bs; j++) {
2322         procsnz[i] += rowlengths[j];
2323       }
2324     }
2325     ierr = PetscFree(rowlengths);CHKERRQ(ierr);
2326 
2327     /* determine max buffer needed and allocate it */
2328     maxnz = 0;
2329     for (i=0; i<size; i++) {
2330       maxnz = PetscMax(maxnz,procsnz[i]);
2331     }
2332     ierr = PetscMalloc(maxnz*sizeof(PetscInt),&cols);CHKERRQ(ierr);
2333 
2334     /* read in my part of the matrix column indices  */
2335     nz     = procsnz[0];
2336     ierr   = PetscMalloc(nz*sizeof(PetscInt),&ibuf);CHKERRQ(ierr);
2337     mycols = ibuf;
2338     if (size == 1)  nz -= extra_rows;
2339     ierr = PetscBinaryRead(fd,mycols,nz,PETSC_INT);CHKERRQ(ierr);
2340     if (size == 1)  for (i=0; i< extra_rows; i++) { mycols[nz+i] = M+i; }
2341 
2342     /* read in every ones (except the last) and ship off */
2343     for (i=1; i<size-1; i++) {
2344       nz   = procsnz[i];
2345       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2346       ierr = MPI_Send(cols,nz,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
2347     }
2348     /* read in the stuff for the last proc */
2349     if (size != 1) {
2350       nz   = procsnz[size-1] - extra_rows;  /* the extra rows are not on the disk */
2351       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2352       for (i=0; i<extra_rows; i++) cols[nz+i] = M+i;
2353       ierr = MPI_Send(cols,nz+extra_rows,MPIU_INT,size-1,tag,comm);CHKERRQ(ierr);
2354     }
2355     ierr = PetscFree(cols);CHKERRQ(ierr);
2356   } else {  /* procs[i], i>0 */
2357     /* determine buffer space needed for message */
2358     nz = 0;
2359     for (i=0; i<m; i++) {
2360       nz += locrowlens[i];
2361     }
2362     ierr   = PetscMalloc(nz*sizeof(PetscInt),&ibuf);CHKERRQ(ierr);
2363     mycols = ibuf;
2364     /* receive message of column indices*/
2365     ierr = MPI_Recv(mycols,nz,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
2366     ierr = MPI_Get_count(&status,MPIU_INT,&maxnz);CHKERRQ(ierr);
2367     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2368   }
2369 
2370   /* loop over local rows, determining number of off diagonal entries */
2371   ierr     = PetscMalloc2(rend-rstart,PetscInt,&dlens,rend-rstart,PetscInt,&odlens);CHKERRQ(ierr);
2372   ierr     = PetscMalloc3(Mbs,PetscInt,&mask,Mbs,PetscInt,&masked1,Mbs,PetscInt,&masked2);CHKERRQ(ierr);
2373   ierr     = PetscMemzero(mask,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2374   ierr     = PetscMemzero(masked1,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2375   ierr     = PetscMemzero(masked2,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2376   rowcount = 0;
2377   nzcount  = 0;
2378   for (i=0; i<mbs; i++) {
2379     dcount  = 0;
2380     odcount = 0;
2381     for (j=0; j<bs; j++) {
2382       kmax = locrowlens[rowcount];
2383       for (k=0; k<kmax; k++) {
2384         tmp = mycols[nzcount++]/bs; /* block col. index */
2385         if (!mask[tmp]) {
2386           mask[tmp] = 1;
2387           if (tmp < rstart || tmp >= rend) masked2[odcount++] = tmp; /* entry in off-diag portion */
2388           else masked1[dcount++] = tmp; /* entry in diag portion */
2389         }
2390       }
2391       rowcount++;
2392     }
2393 
2394     dlens[i]  = dcount;  /* d_nzz[i] */
2395     odlens[i] = odcount; /* o_nzz[i] */
2396 
2397     /* zero out the mask elements we set */
2398     for (j=0; j<dcount; j++) mask[masked1[j]] = 0;
2399     for (j=0; j<odcount; j++) mask[masked2[j]] = 0;
2400   }
2401     if (!sizesset) {
2402     ierr = MatSetSizes(newmat,m,m,M+extra_rows,N+extra_rows);CHKERRQ(ierr);
2403   }
2404   ierr = MatSetOption(newmat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
2405   ierr = MatMPISBAIJSetPreallocation(newmat,bs,0,dlens,0,odlens);CHKERRQ(ierr);
2406 
2407   if (!rank) {
2408     ierr = PetscMalloc(maxnz*sizeof(PetscScalar),&buf);CHKERRQ(ierr);
2409     /* read in my part of the matrix numerical values  */
2410     nz = procsnz[0];
2411     vals = buf;
2412     mycols = ibuf;
2413     if (size == 1)  nz -= extra_rows;
2414     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2415     if (size == 1)  for (i=0; i< extra_rows; i++) { vals[nz+i] = 1.0; }
2416 
2417     /* insert into matrix */
2418     jj      = rstart*bs;
2419     for (i=0; i<m; i++) {
2420       ierr = MatSetValues(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2421       mycols += locrowlens[i];
2422       vals   += locrowlens[i];
2423       jj++;
2424     }
2425 
2426     /* read in other processors (except the last one) and ship out */
2427     for (i=1; i<size-1; i++) {
2428       nz   = procsnz[i];
2429       vals = buf;
2430       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2431       ierr = MPI_Send(vals,nz,MPIU_SCALAR,i,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
2432     }
2433     /* the last proc */
2434     if (size != 1){
2435       nz   = procsnz[i] - extra_rows;
2436       vals = buf;
2437       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2438       for (i=0; i<extra_rows; i++) vals[nz+i] = 1.0;
2439       ierr = MPI_Send(vals,nz+extra_rows,MPIU_SCALAR,size-1,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
2440     }
2441     ierr = PetscFree(procsnz);CHKERRQ(ierr);
2442 
2443   } else {
2444     /* receive numeric values */
2445     ierr = PetscMalloc(nz*sizeof(PetscScalar),&buf);CHKERRQ(ierr);
2446 
2447     /* receive message of values*/
2448     vals   = buf;
2449     mycols = ibuf;
2450     ierr   = MPI_Recv(vals,nz,MPIU_SCALAR,0,((PetscObject)newmat)->tag,comm,&status);CHKERRQ(ierr);
2451     ierr   = MPI_Get_count(&status,MPIU_SCALAR,&maxnz);CHKERRQ(ierr);
2452     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2453 
2454     /* insert into matrix */
2455     jj      = rstart*bs;
2456     for (i=0; i<m; i++) {
2457       ierr    = MatSetValues_MPISBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2458       mycols += locrowlens[i];
2459       vals   += locrowlens[i];
2460       jj++;
2461     }
2462   }
2463 
2464   ierr = PetscFree(locrowlens);CHKERRQ(ierr);
2465   ierr = PetscFree(buf);CHKERRQ(ierr);
2466   ierr = PetscFree(ibuf);CHKERRQ(ierr);
2467   ierr = PetscFree2(rowners,browners);CHKERRQ(ierr);
2468   ierr = PetscFree2(dlens,odlens);CHKERRQ(ierr);
2469   ierr = PetscFree3(mask,masked1,masked2);CHKERRQ(ierr);
2470   ierr = MatAssemblyBegin(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2471   ierr = MatAssemblyEnd(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2472   PetscFunctionReturn(0);
2473 }
2474 
2475 #undef __FUNCT__
2476 #define __FUNCT__ "MatMPISBAIJSetHashTableFactor"
2477 /*XXXXX@
2478    MatMPISBAIJSetHashTableFactor - Sets the factor required to compute the size of the HashTable.
2479 
2480    Input Parameters:
2481 .  mat  - the matrix
2482 .  fact - factor
2483 
2484    Not Collective on Mat, each process can have a different hash factor
2485 
2486    Level: advanced
2487 
2488   Notes:
2489    This can also be set by the command line option: -mat_use_hash_table fact
2490 
2491 .keywords: matrix, hashtable, factor, HT
2492 
2493 .seealso: MatSetOption()
2494 @XXXXX*/
2495 
2496 
2497 #undef __FUNCT__
2498 #define __FUNCT__ "MatGetRowMaxAbs_MPISBAIJ"
2499 PetscErrorCode MatGetRowMaxAbs_MPISBAIJ(Mat A,Vec v,PetscInt idx[])
2500 {
2501   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
2502   Mat_SeqBAIJ    *b = (Mat_SeqBAIJ*)(a->B)->data;
2503   PetscReal      atmp;
2504   PetscReal      *work,*svalues,*rvalues;
2505   PetscErrorCode ierr;
2506   PetscInt       i,bs,mbs,*bi,*bj,brow,j,ncols,krow,kcol,col,row,Mbs,bcol;
2507   PetscMPIInt    rank,size;
2508   PetscInt       *rowners_bs,dest,count,source;
2509   PetscScalar    *va;
2510   MatScalar      *ba;
2511   MPI_Status     stat;
2512 
2513   PetscFunctionBegin;
2514   if (idx) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Send email to petsc-maint@mcs.anl.gov");
2515   ierr = MatGetRowMaxAbs(a->A,v,PETSC_NULL);CHKERRQ(ierr);
2516   ierr = VecGetArray(v,&va);CHKERRQ(ierr);
2517 
2518   ierr = MPI_Comm_size(((PetscObject)A)->comm,&size);CHKERRQ(ierr);
2519   ierr = MPI_Comm_rank(((PetscObject)A)->comm,&rank);CHKERRQ(ierr);
2520 
2521   bs   = A->rmap->bs;
2522   mbs  = a->mbs;
2523   Mbs  = a->Mbs;
2524   ba   = b->a;
2525   bi   = b->i;
2526   bj   = b->j;
2527 
2528   /* find ownerships */
2529   rowners_bs = A->rmap->range;
2530 
2531   /* each proc creates an array to be distributed */
2532   ierr = PetscMalloc(bs*Mbs*sizeof(PetscReal),&work);CHKERRQ(ierr);
2533   ierr = PetscMemzero(work,bs*Mbs*sizeof(PetscReal));CHKERRQ(ierr);
2534 
2535   /* row_max for B */
2536   if (rank != size-1){
2537     for (i=0; i<mbs; i++) {
2538       ncols = bi[1] - bi[0]; bi++;
2539       brow  = bs*i;
2540       for (j=0; j<ncols; j++){
2541         bcol = bs*(*bj);
2542         for (kcol=0; kcol<bs; kcol++){
2543           col = bcol + kcol;                 /* local col index */
2544           col += rowners_bs[rank+1];      /* global col index */
2545           for (krow=0; krow<bs; krow++){
2546             atmp = PetscAbsScalar(*ba); ba++;
2547             row = brow + krow;    /* local row index */
2548             if (PetscRealPart(va[row]) < atmp) va[row] = atmp;
2549             if (work[col] < atmp) work[col] = atmp;
2550           }
2551         }
2552         bj++;
2553       }
2554     }
2555 
2556     /* send values to its owners */
2557     for (dest=rank+1; dest<size; dest++){
2558       svalues = work + rowners_bs[dest];
2559       count   = rowners_bs[dest+1]-rowners_bs[dest];
2560       ierr    = MPI_Send(svalues,count,MPIU_REAL,dest,rank,((PetscObject)A)->comm);CHKERRQ(ierr);
2561     }
2562   }
2563 
2564   /* receive values */
2565   if (rank){
2566     rvalues = work;
2567     count   = rowners_bs[rank+1]-rowners_bs[rank];
2568     for (source=0; source<rank; source++){
2569       ierr = MPI_Recv(rvalues,count,MPIU_REAL,MPI_ANY_SOURCE,MPI_ANY_TAG,((PetscObject)A)->comm,&stat);CHKERRQ(ierr);
2570       /* process values */
2571       for (i=0; i<count; i++){
2572         if (PetscRealPart(va[i]) < rvalues[i]) va[i] = rvalues[i];
2573       }
2574     }
2575   }
2576 
2577   ierr = VecRestoreArray(v,&va);CHKERRQ(ierr);
2578   ierr = PetscFree(work);CHKERRQ(ierr);
2579   PetscFunctionReturn(0);
2580 }
2581 
2582 #undef __FUNCT__
2583 #define __FUNCT__ "MatSOR_MPISBAIJ"
2584 PetscErrorCode MatSOR_MPISBAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2585 {
2586   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)matin->data;
2587   PetscErrorCode    ierr;
2588   PetscInt          mbs=mat->mbs,bs=matin->rmap->bs;
2589   PetscScalar       *x,*ptr,*from;
2590   Vec               bb1;
2591   const PetscScalar *b;
2592 
2593   PetscFunctionBegin;
2594   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);
2595   if (bs > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2596 
2597   if (flag == SOR_APPLY_UPPER) {
2598     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2599     PetscFunctionReturn(0);
2600   }
2601 
2602   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP){
2603     if ( flag & SOR_ZERO_INITIAL_GUESS ) {
2604       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2605       its--;
2606     }
2607 
2608     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2609     while (its--){
2610 
2611       /* lower triangular part: slvec0b = - B^T*xx */
2612       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2613 
2614       /* copy xx into slvec0a */
2615       ierr = VecGetArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2616       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2617       ierr = PetscMemcpy(ptr,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2618       ierr = VecRestoreArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2619 
2620       ierr = VecScale(mat->slvec0,-1.0);CHKERRQ(ierr);
2621 
2622       /* copy bb into slvec1a */
2623       ierr = VecGetArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2624       ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
2625       ierr = PetscMemcpy(ptr,b,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2626       ierr = VecRestoreArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2627 
2628       /* set slvec1b = 0 */
2629       ierr = VecSet(mat->slvec1b,0.0);CHKERRQ(ierr);
2630 
2631       ierr = VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2632       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2633       ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
2634       ierr = VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2635 
2636       /* upper triangular part: bb1 = bb1 - B*x */
2637       ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,bb1);CHKERRQ(ierr);
2638 
2639       /* local diagonal sweep */
2640       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
2641     }
2642     ierr = VecDestroy(&bb1);CHKERRQ(ierr);
2643   } else if ((flag & SOR_LOCAL_FORWARD_SWEEP) && (its == 1) && (flag & SOR_ZERO_INITIAL_GUESS)){
2644     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2645   } else if ((flag & SOR_LOCAL_BACKWARD_SWEEP) && (its == 1) && (flag & SOR_ZERO_INITIAL_GUESS)){
2646     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2647   } else if (flag & SOR_EISENSTAT) {
2648     Vec               xx1;
2649     PetscBool         hasop;
2650     const PetscScalar *diag;
2651     PetscScalar       *sl,scale = (omega - 2.0)/omega;
2652     PetscInt          i,n;
2653 
2654     if (!mat->xx1) {
2655       ierr = VecDuplicate(bb,&mat->xx1);CHKERRQ(ierr);
2656       ierr = VecDuplicate(bb,&mat->bb1);CHKERRQ(ierr);
2657     }
2658     xx1 = mat->xx1;
2659     bb1 = mat->bb1;
2660 
2661     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,(MatSORType)(SOR_ZERO_INITIAL_GUESS | SOR_LOCAL_BACKWARD_SWEEP),fshift,lits,1,xx);CHKERRQ(ierr);
2662 
2663     if (!mat->diag) {
2664       /* this is wrong for same matrix with new nonzero values */
2665       ierr = MatGetVecs(matin,&mat->diag,PETSC_NULL);CHKERRQ(ierr);
2666       ierr = MatGetDiagonal(matin,mat->diag);CHKERRQ(ierr);
2667     }
2668     ierr = MatHasOperation(matin,MATOP_MULT_DIAGONAL_BLOCK,&hasop);CHKERRQ(ierr);
2669 
2670     if (hasop) {
2671       ierr = MatMultDiagonalBlock(matin,xx,bb1);CHKERRQ(ierr);
2672       ierr = VecAYPX(mat->slvec1a,scale,bb);CHKERRQ(ierr);
2673     } else {
2674       /*
2675           These two lines are replaced by code that may be a bit faster for a good compiler
2676       ierr = VecPointwiseMult(mat->slvec1a,mat->diag,xx);CHKERRQ(ierr);
2677       ierr = VecAYPX(mat->slvec1a,scale,bb);CHKERRQ(ierr);
2678       */
2679       ierr = VecGetArray(mat->slvec1a,&sl);CHKERRQ(ierr);
2680       ierr = VecGetArrayRead(mat->diag,&diag);CHKERRQ(ierr);
2681       ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
2682       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2683       ierr = VecGetLocalSize(xx,&n);CHKERRQ(ierr);
2684       if (omega == 1.0) {
2685 	for (i=0; i<n; i++) {
2686 	  sl[i] = b[i] - diag[i]*x[i];
2687 	}
2688         ierr = PetscLogFlops(2.0*n);CHKERRQ(ierr);
2689       } else {
2690 	for (i=0; i<n; i++) {
2691 	  sl[i] = b[i] + scale*diag[i]*x[i];
2692 	}
2693         ierr = PetscLogFlops(3.0*n);CHKERRQ(ierr);
2694       }
2695       ierr = VecRestoreArray(mat->slvec1a,&sl);CHKERRQ(ierr);
2696       ierr = VecRestoreArrayRead(mat->diag,&diag);CHKERRQ(ierr);
2697       ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
2698       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2699     }
2700 
2701     /* multiply off-diagonal portion of matrix */
2702     ierr = VecSet(mat->slvec1b,0.0);CHKERRQ(ierr);
2703     ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2704     ierr = VecGetArray(mat->slvec0,&from);CHKERRQ(ierr);
2705     ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2706     ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2707     ierr = VecRestoreArray(mat->slvec0,&from);CHKERRQ(ierr);
2708     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2709     ierr = VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2710     ierr = VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2711     ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,mat->slvec1a);CHKERRQ(ierr);
2712 
2713     /* local sweep */
2714     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);
2715     ierr = VecAXPY(xx,1.0,xx1);CHKERRQ(ierr);
2716   } else {
2717     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
2718   }
2719   PetscFunctionReturn(0);
2720 }
2721 
2722 #undef __FUNCT__
2723 #define __FUNCT__ "MatSOR_MPISBAIJ_2comm"
2724 PetscErrorCode MatSOR_MPISBAIJ_2comm(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2725 {
2726   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
2727   PetscErrorCode ierr;
2728   Vec            lvec1,bb1;
2729 
2730   PetscFunctionBegin;
2731   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);
2732   if (matin->rmap->bs > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2733 
2734   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP){
2735     if ( flag & SOR_ZERO_INITIAL_GUESS ) {
2736       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2737       its--;
2738     }
2739 
2740     ierr = VecDuplicate(mat->lvec,&lvec1);CHKERRQ(ierr);
2741     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2742     while (its--){
2743       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2744 
2745       /* lower diagonal part: bb1 = bb - B^T*xx */
2746       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,lvec1);CHKERRQ(ierr);
2747       ierr = VecScale(lvec1,-1.0);CHKERRQ(ierr);
2748 
2749       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2750       ierr = VecCopy(bb,bb1);CHKERRQ(ierr);
2751       ierr = VecScatterBegin(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2752 
2753       /* upper diagonal part: bb1 = bb1 - B*x */
2754       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2755       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb1,bb1);CHKERRQ(ierr);
2756 
2757       ierr = VecScatterEnd(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2758 
2759       /* diagonal sweep */
2760       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
2761     }
2762     ierr = VecDestroy(&lvec1);CHKERRQ(ierr);
2763     ierr = VecDestroy(&bb1);CHKERRQ(ierr);
2764   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
2765   PetscFunctionReturn(0);
2766 }
2767 
2768 #undef __FUNCT__
2769 #define __FUNCT__ "MatCreateMPISBAIJWithArrays"
2770 /*@
2771      MatCreateMPISBAIJWithArrays - creates a MPI SBAIJ matrix using arrays that contain in standard
2772          CSR format the local rows.
2773 
2774    Collective on MPI_Comm
2775 
2776    Input Parameters:
2777 +  comm - MPI communicator
2778 .  bs - the block size, only a block size of 1 is supported
2779 .  m - number of local rows (Cannot be PETSC_DECIDE)
2780 .  n - This value should be the same as the local size used in creating the
2781        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
2782        calculated if N is given) For square matrices n is almost always m.
2783 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
2784 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
2785 .   i - row indices
2786 .   j - column indices
2787 -   a - matrix values
2788 
2789    Output Parameter:
2790 .   mat - the matrix
2791 
2792    Level: intermediate
2793 
2794    Notes:
2795        The i, j, and a arrays ARE copied by this routine into the internal format used by PETSc;
2796      thus you CANNOT change the matrix entries by changing the values of a[] after you have
2797      called this routine. Use MatCreateMPIAIJWithSplitArrays() to avoid needing to copy the arrays.
2798 
2799        The i and j indices are 0 based, and i indices are indices corresponding to the local j array.
2800 
2801 .keywords: matrix, aij, compressed row, sparse, parallel
2802 
2803 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
2804           MPIAIJ, MatCreateMPIAIJ(), MatCreateMPIAIJWithSplitArrays()
2805 @*/
2806 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)
2807 {
2808   PetscErrorCode ierr;
2809 
2810 
2811  PetscFunctionBegin;
2812   if (i[0]) {
2813     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
2814   }
2815   if (m < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"local number of rows (m) cannot be PETSC_DECIDE, or negative");
2816   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
2817   ierr = MatSetSizes(*mat,m,n,M,N);CHKERRQ(ierr);
2818   ierr = MatSetType(*mat,MATMPISBAIJ);CHKERRQ(ierr);
2819   ierr = MatMPISBAIJSetPreallocationCSR(*mat,bs,i,j,a);CHKERRQ(ierr);
2820   PetscFunctionReturn(0);
2821 }
2822 
2823 
2824 #undef __FUNCT__
2825 #define __FUNCT__ "MatMPISBAIJSetPreallocationCSR"
2826 /*@C
2827    MatMPISBAIJSetPreallocationCSR - Allocates memory for a sparse parallel matrix in BAIJ format
2828    (the default parallel PETSc format).
2829 
2830    Collective on MPI_Comm
2831 
2832    Input Parameters:
2833 +  A - the matrix
2834 .  bs - the block size
2835 .  i - the indices into j for the start of each local row (starts with zero)
2836 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
2837 -  v - optional values in the matrix
2838 
2839    Level: developer
2840 
2841 .keywords: matrix, aij, compressed row, sparse, parallel
2842 
2843 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIBAIJSetPreallocation(), MatCreateMPIAIJ(), MPIAIJ
2844 @*/
2845 PetscErrorCode  MatMPISBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
2846 {
2847   PetscErrorCode ierr;
2848 
2849   PetscFunctionBegin;
2850   ierr = PetscTryMethod(B,"MatMPISBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));CHKERRQ(ierr);
2851   PetscFunctionReturn(0);
2852 }
2853 
2854 
2855