xref: /petsc/src/mat/impls/sbaij/mpi/mpisbaij.c (revision f66eea085cceefc5191b4b3d61f096e7c3d8e689)
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 MatDisAssemble_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 #undef __FUNCT__
24 #define __FUNCT__ "MatStoreValues_MPISBAIJ"
25 PetscErrorCode  MatStoreValues_MPISBAIJ(Mat mat)
26 {
27   Mat_MPISBAIJ   *aij = (Mat_MPISBAIJ*)mat->data;
28   PetscErrorCode ierr;
29 
30   PetscFunctionBegin;
31   ierr = MatStoreValues(aij->A);CHKERRQ(ierr);
32   ierr = MatStoreValues(aij->B);CHKERRQ(ierr);
33   PetscFunctionReturn(0);
34 }
35 
36 #undef __FUNCT__
37 #define __FUNCT__ "MatRetrieveValues_MPISBAIJ"
38 PetscErrorCode  MatRetrieveValues_MPISBAIJ(Mat mat)
39 {
40   Mat_MPISBAIJ   *aij = (Mat_MPISBAIJ*)mat->data;
41   PetscErrorCode ierr;
42 
43   PetscFunctionBegin;
44   ierr = MatRetrieveValues(aij->A);CHKERRQ(ierr);
45   ierr = MatRetrieveValues(aij->B);CHKERRQ(ierr);
46   PetscFunctionReturn(0);
47 }
48 
49 #define  MatSetValues_SeqSBAIJ_A_Private(row,col,value,addv) \
50   { \
51  \
52     brow = row/bs;  \
53     rp   = aj + ai[brow]; ap = aa + bs2*ai[brow]; \
54     rmax = aimax[brow]; nrow = ailen[brow]; \
55     bcol = col/bs; \
56     ridx = row % bs; cidx = col % bs; \
57     low  = 0; high = nrow; \
58     while (high-low > 3) { \
59       t = (low+high)/2; \
60       if (rp[t] > bcol) high = t; \
61       else              low  = t; \
62     } \
63     for (_i=low; _i<high; _i++) { \
64       if (rp[_i] > bcol) break; \
65       if (rp[_i] == bcol) { \
66         bap = ap + bs2*_i + bs*cidx + ridx; \
67         if (addv == ADD_VALUES) *bap += value;  \
68         else                    *bap  = value;  \
69         goto a_noinsert; \
70       } \
71     } \
72     if (a->nonew == 1) goto a_noinsert; \
73     if (a->nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", row, col); \
74     MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,aimax,a->nonew,MatScalar); \
75     N = nrow++ - 1;  \
76     /* shift up all the later entries in this row */ \
77     for (ii=N; ii>=_i; ii--) { \
78       rp[ii+1] = rp[ii]; \
79       ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
80     } \
81     if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr); }  \
82     rp[_i]                      = bcol;  \
83     ap[bs2*_i + bs*cidx + ridx] = value;  \
84     A->nonzerostate++;\
85 a_noinsert:; \
86     ailen[brow] = nrow; \
87   }
88 
89 #define  MatSetValues_SeqSBAIJ_B_Private(row,col,value,addv) \
90   { \
91     brow = row/bs;  \
92     rp   = bj + bi[brow]; ap = ba + bs2*bi[brow]; \
93     rmax = bimax[brow]; nrow = bilen[brow]; \
94     bcol = col/bs; \
95     ridx = row % bs; cidx = col % bs; \
96     low  = 0; high = nrow; \
97     while (high-low > 3) { \
98       t = (low+high)/2; \
99       if (rp[t] > bcol) high = t; \
100       else              low  = t; \
101     } \
102     for (_i=low; _i<high; _i++) { \
103       if (rp[_i] > bcol) break; \
104       if (rp[_i] == bcol) { \
105         bap = ap + bs2*_i + bs*cidx + ridx; \
106         if (addv == ADD_VALUES) *bap += value;  \
107         else                    *bap  = value;  \
108         goto b_noinsert; \
109       } \
110     } \
111     if (b->nonew == 1) goto b_noinsert; \
112     if (b->nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", row, col); \
113     MatSeqXAIJReallocateAIJ(B,b->mbs,bs2,nrow,brow,bcol,rmax,ba,bi,bj,rp,ap,bimax,b->nonew,MatScalar); \
114     N = nrow++ - 1;  \
115     /* shift up all the later entries in this row */ \
116     for (ii=N; ii>=_i; ii--) { \
117       rp[ii+1] = rp[ii]; \
118       ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
119     } \
120     if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr);}  \
121     rp[_i]                      = bcol;  \
122     ap[bs2*_i + bs*cidx + ridx] = value;  \
123     B->nonzerostate++;\
124 b_noinsert:; \
125     bilen[brow] = nrow; \
126   }
127 
128 /* Only add/insert a(i,j) with i<=j (blocks).
129    Any a(i,j) with i>j input by user is ingored.
130 */
131 #undef __FUNCT__
132 #define __FUNCT__ "MatSetValues_MPISBAIJ"
133 PetscErrorCode MatSetValues_MPISBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
134 {
135   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
136   MatScalar      value;
137   PetscBool      roworiented = baij->roworiented;
138   PetscErrorCode ierr;
139   PetscInt       i,j,row,col;
140   PetscInt       rstart_orig=mat->rmap->rstart;
141   PetscInt       rend_orig  =mat->rmap->rend,cstart_orig=mat->cmap->rstart;
142   PetscInt       cend_orig  =mat->cmap->rend,bs=mat->rmap->bs;
143 
144   /* Some Variables required in the macro */
145   Mat          A     = baij->A;
146   Mat_SeqSBAIJ *a    = (Mat_SeqSBAIJ*)(A)->data;
147   PetscInt     *aimax=a->imax,*ai=a->i,*ailen=a->ilen,*aj=a->j;
148   MatScalar    *aa   =a->a;
149 
150   Mat         B     = baij->B;
151   Mat_SeqBAIJ *b    = (Mat_SeqBAIJ*)(B)->data;
152   PetscInt    *bimax=b->imax,*bi=b->i,*bilen=b->ilen,*bj=b->j;
153   MatScalar   *ba   =b->a;
154 
155   PetscInt  *rp,ii,nrow,_i,rmax,N,brow,bcol;
156   PetscInt  low,high,t,ridx,cidx,bs2=a->bs2;
157   MatScalar *ap,*bap;
158 
159   /* for stash */
160   PetscInt  n_loc, *in_loc = NULL;
161   MatScalar *v_loc = NULL;
162 
163   PetscFunctionBegin;
164   if (!baij->donotstash) {
165     if (n > baij->n_loc) {
166       ierr = PetscFree(baij->in_loc);CHKERRQ(ierr);
167       ierr = PetscFree(baij->v_loc);CHKERRQ(ierr);
168       ierr = PetscMalloc1(n,&baij->in_loc);CHKERRQ(ierr);
169       ierr = PetscMalloc1(n,&baij->v_loc);CHKERRQ(ierr);
170 
171       baij->n_loc = n;
172     }
173     in_loc = baij->in_loc;
174     v_loc  = baij->v_loc;
175   }
176 
177   for (i=0; i<m; i++) {
178     if (im[i] < 0) continue;
179 #if defined(PETSC_USE_DEBUG)
180     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);
181 #endif
182     if (im[i] >= rstart_orig && im[i] < rend_orig) { /* this processor entry */
183       row = im[i] - rstart_orig;              /* local row index */
184       for (j=0; j<n; j++) {
185         if (im[i]/bs > in[j]/bs) {
186           if (a->ignore_ltriangular) {
187             continue;    /* ignore lower triangular blocks */
188           } 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)");
189         }
190         if (in[j] >= cstart_orig && in[j] < cend_orig) {  /* diag entry (A) */
191           col  = in[j] - cstart_orig;         /* local col index */
192           brow = row/bs; bcol = col/bs;
193           if (brow > bcol) continue;  /* ignore lower triangular blocks of A */
194           if (roworiented) value = v[i*n+j];
195           else             value = v[i+j*m];
196           MatSetValues_SeqSBAIJ_A_Private(row,col,value,addv);
197           /* ierr = MatSetValues_SeqBAIJ(baij->A,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
198         } else if (in[j] < 0) continue;
199 #if defined(PETSC_USE_DEBUG)
200         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);
201 #endif
202         else {  /* off-diag entry (B) */
203           if (mat->was_assembled) {
204             if (!baij->colmap) {
205               ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
206             }
207 #if defined(PETSC_USE_CTABLE)
208             ierr = PetscTableFind(baij->colmap,in[j]/bs + 1,&col);CHKERRQ(ierr);
209             col  = col - 1;
210 #else
211             col = baij->colmap[in[j]/bs] - 1;
212 #endif
213             if (col < 0 && !((Mat_SeqSBAIJ*)(baij->A->data))->nonew) {
214               ierr = MatDisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
215               col  =  in[j];
216               /* Reinitialize the variables required by MatSetValues_SeqBAIJ_B_Private() */
217               B    = baij->B;
218               b    = (Mat_SeqBAIJ*)(B)->data;
219               bimax= b->imax;bi=b->i;bilen=b->ilen;bj=b->j;
220               ba   = b->a;
221             } else col += in[j]%bs;
222           } else col = in[j];
223           if (roworiented) value = v[i*n+j];
224           else             value = v[i+j*m];
225           MatSetValues_SeqSBAIJ_B_Private(row,col,value,addv);
226           /* ierr = MatSetValues_SeqBAIJ(baij->B,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
227         }
228       }
229     } else {  /* off processor entry */
230       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]);
231       if (!baij->donotstash) {
232         mat->assembled = PETSC_FALSE;
233         n_loc          = 0;
234         for (j=0; j<n; j++) {
235           if (im[i]/bs > in[j]/bs) continue; /* ignore lower triangular blocks */
236           in_loc[n_loc] = in[j];
237           if (roworiented) {
238             v_loc[n_loc] = v[i*n+j];
239           } else {
240             v_loc[n_loc] = v[j*m+i];
241           }
242           n_loc++;
243         }
244         ierr = MatStashValuesRow_Private(&mat->stash,im[i],n_loc,in_loc,v_loc,PETSC_FALSE);CHKERRQ(ierr);
245       }
246     }
247   }
248   PetscFunctionReturn(0);
249 }
250 
251 #undef __FUNCT__
252 #define __FUNCT__ "MatSetValuesBlocked_MPISBAIJ"
253 PetscErrorCode MatSetValuesBlocked_MPISBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const MatScalar v[],InsertMode addv)
254 {
255   Mat_MPISBAIJ    *baij = (Mat_MPISBAIJ*)mat->data;
256   const MatScalar *value;
257   MatScalar       *barray     =baij->barray;
258   PetscBool       roworiented = baij->roworiented,ignore_ltriangular = ((Mat_SeqSBAIJ*)baij->A->data)->ignore_ltriangular;
259   PetscErrorCode  ierr;
260   PetscInt        i,j,ii,jj,row,col,rstart=baij->rstartbs;
261   PetscInt        rend=baij->rendbs,cstart=baij->rstartbs,stepval;
262   PetscInt        cend=baij->rendbs,bs=mat->rmap->bs,bs2=baij->bs2;
263 
264   PetscFunctionBegin;
265   if (!barray) {
266     ierr         = PetscMalloc1(bs2,&barray);CHKERRQ(ierr);
267     baij->barray = barray;
268   }
269 
270   if (roworiented) {
271     stepval = (n-1)*bs;
272   } else {
273     stepval = (m-1)*bs;
274   }
275   for (i=0; i<m; i++) {
276     if (im[i] < 0) continue;
277 #if defined(PETSC_USE_DEBUG)
278     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);
279 #endif
280     if (im[i] >= rstart && im[i] < rend) {
281       row = im[i] - rstart;
282       for (j=0; j<n; j++) {
283         if (im[i] > in[j]) {
284           if (ignore_ltriangular) continue; /* ignore lower triangular blocks */
285           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)");
286         }
287         /* If NumCol = 1 then a copy is not required */
288         if ((roworiented) && (n == 1)) {
289           barray = (MatScalar*) v + i*bs2;
290         } else if ((!roworiented) && (m == 1)) {
291           barray = (MatScalar*) v + j*bs2;
292         } else { /* Here a copy is required */
293           if (roworiented) {
294             value = v + i*(stepval+bs)*bs + j*bs;
295           } else {
296             value = v + j*(stepval+bs)*bs + i*bs;
297           }
298           for (ii=0; ii<bs; ii++,value+=stepval) {
299             for (jj=0; jj<bs; jj++) {
300               *barray++ = *value++;
301             }
302           }
303           barray -=bs2;
304         }
305 
306         if (in[j] >= cstart && in[j] < cend) {
307           col  = in[j] - cstart;
308           ierr = MatSetValuesBlocked_SeqSBAIJ(baij->A,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
309         } else if (in[j] < 0) continue;
310 #if defined(PETSC_USE_DEBUG)
311         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);
312 #endif
313         else {
314           if (mat->was_assembled) {
315             if (!baij->colmap) {
316               ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
317             }
318 
319 #if defined(PETSC_USE_DEBUG)
320 #if defined(PETSC_USE_CTABLE)
321             { PetscInt data;
322               ierr = PetscTableFind(baij->colmap,in[j]+1,&data);CHKERRQ(ierr);
323               if ((data - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
324             }
325 #else
326             if ((baij->colmap[in[j]] - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
327 #endif
328 #endif
329 #if defined(PETSC_USE_CTABLE)
330             ierr = PetscTableFind(baij->colmap,in[j]+1,&col);CHKERRQ(ierr);
331             col  = (col - 1)/bs;
332 #else
333             col = (baij->colmap[in[j]] - 1)/bs;
334 #endif
335             if (col < 0 && !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
336               ierr = MatDisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
337               col  = in[j];
338             }
339           } else col = in[j];
340           ierr = MatSetValuesBlocked_SeqBAIJ(baij->B,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
341         }
342       }
343     } else {
344       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]);
345       if (!baij->donotstash) {
346         if (roworiented) {
347           ierr = MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
348         } else {
349           ierr = MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
350         }
351       }
352     }
353   }
354   PetscFunctionReturn(0);
355 }
356 
357 #undef __FUNCT__
358 #define __FUNCT__ "MatGetValues_MPISBAIJ"
359 PetscErrorCode MatGetValues_MPISBAIJ(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],PetscScalar v[])
360 {
361   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
362   PetscErrorCode ierr;
363   PetscInt       bs       = mat->rmap->bs,i,j,bsrstart = mat->rmap->rstart,bsrend = mat->rmap->rend;
364   PetscInt       bscstart = mat->cmap->rstart,bscend = mat->cmap->rend,row,col,data;
365 
366   PetscFunctionBegin;
367   for (i=0; i<m; i++) {
368     if (idxm[i] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",idxm[i]); */
369     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);
370     if (idxm[i] >= bsrstart && idxm[i] < bsrend) {
371       row = idxm[i] - bsrstart;
372       for (j=0; j<n; j++) {
373         if (idxn[j] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column %D",idxn[j]); */
374         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);
375         if (idxn[j] >= bscstart && idxn[j] < bscend) {
376           col  = idxn[j] - bscstart;
377           ierr = MatGetValues_SeqSBAIJ(baij->A,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
378         } else {
379           if (!baij->colmap) {
380             ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
381           }
382 #if defined(PETSC_USE_CTABLE)
383           ierr = PetscTableFind(baij->colmap,idxn[j]/bs+1,&data);CHKERRQ(ierr);
384           data--;
385 #else
386           data = baij->colmap[idxn[j]/bs]-1;
387 #endif
388           if ((data < 0) || (baij->garray[data/bs] != idxn[j]/bs)) *(v+i*n+j) = 0.0;
389           else {
390             col  = data + idxn[j]%bs;
391             ierr = MatGetValues_SeqBAIJ(baij->B,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
392           }
393         }
394       }
395     } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local values currently supported");
396   }
397   PetscFunctionReturn(0);
398 }
399 
400 #undef __FUNCT__
401 #define __FUNCT__ "MatNorm_MPISBAIJ"
402 PetscErrorCode MatNorm_MPISBAIJ(Mat mat,NormType type,PetscReal *norm)
403 {
404   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
405   PetscErrorCode ierr;
406   PetscReal      sum[2],*lnorm2;
407 
408   PetscFunctionBegin;
409   if (baij->size == 1) {
410     ierr =  MatNorm(baij->A,type,norm);CHKERRQ(ierr);
411   } else {
412     if (type == NORM_FROBENIUS) {
413       ierr    = PetscMalloc1(2,&lnorm2);CHKERRQ(ierr);
414       ierr    =  MatNorm(baij->A,type,lnorm2);CHKERRQ(ierr);
415       *lnorm2 = (*lnorm2)*(*lnorm2); lnorm2++;            /* squar power of norm(A) */
416       ierr    =  MatNorm(baij->B,type,lnorm2);CHKERRQ(ierr);
417       *lnorm2 = (*lnorm2)*(*lnorm2); lnorm2--;             /* squar power of norm(B) */
418       ierr    = MPI_Allreduce(lnorm2,sum,2,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
419       *norm   = PetscSqrtReal(sum[0] + 2*sum[1]);
420       ierr    = PetscFree(lnorm2);CHKERRQ(ierr);
421     } else if (type == NORM_INFINITY || type == NORM_1) { /* max row/column sum */
422       Mat_SeqSBAIJ *amat=(Mat_SeqSBAIJ*)baij->A->data;
423       Mat_SeqBAIJ  *bmat=(Mat_SeqBAIJ*)baij->B->data;
424       PetscReal    *rsum,*rsum2,vabs;
425       PetscInt     *jj,*garray=baij->garray,rstart=baij->rstartbs,nz;
426       PetscInt     brow,bcol,col,bs=baij->A->rmap->bs,row,grow,gcol,mbs=amat->mbs;
427       MatScalar    *v;
428 
429       ierr = PetscMalloc2(mat->cmap->N,&rsum,mat->cmap->N,&rsum2);CHKERRQ(ierr);
430       ierr = PetscMemzero(rsum,mat->cmap->N*sizeof(PetscReal));CHKERRQ(ierr);
431       /* Amat */
432       v = amat->a; jj = amat->j;
433       for (brow=0; brow<mbs; brow++) {
434         grow = bs*(rstart + brow);
435         nz   = amat->i[brow+1] - amat->i[brow];
436         for (bcol=0; bcol<nz; bcol++) {
437           gcol = bs*(rstart + *jj); jj++;
438           for (col=0; col<bs; col++) {
439             for (row=0; row<bs; row++) {
440               vabs            = PetscAbsScalar(*v); v++;
441               rsum[gcol+col] += vabs;
442               /* non-diagonal block */
443               if (bcol > 0 && vabs > 0.0) rsum[grow+row] += vabs;
444             }
445           }
446         }
447       }
448       /* Bmat */
449       v = bmat->a; jj = bmat->j;
450       for (brow=0; brow<mbs; brow++) {
451         grow = bs*(rstart + brow);
452         nz = bmat->i[brow+1] - bmat->i[brow];
453         for (bcol=0; bcol<nz; bcol++) {
454           gcol = bs*garray[*jj]; jj++;
455           for (col=0; col<bs; col++) {
456             for (row=0; row<bs; row++) {
457               vabs            = PetscAbsScalar(*v); v++;
458               rsum[gcol+col] += vabs;
459               rsum[grow+row] += vabs;
460             }
461           }
462         }
463       }
464       ierr  = MPI_Allreduce(rsum,rsum2,mat->cmap->N,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
465       *norm = 0.0;
466       for (col=0; col<mat->cmap->N; col++) {
467         if (rsum2[col] > *norm) *norm = rsum2[col];
468       }
469       ierr = PetscFree2(rsum,rsum2);CHKERRQ(ierr);
470     } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for this norm yet");
471   }
472   PetscFunctionReturn(0);
473 }
474 
475 #undef __FUNCT__
476 #define __FUNCT__ "MatAssemblyBegin_MPISBAIJ"
477 PetscErrorCode MatAssemblyBegin_MPISBAIJ(Mat mat,MatAssemblyType mode)
478 {
479   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
480   PetscErrorCode ierr;
481   PetscInt       nstash,reallocs;
482   InsertMode     addv;
483 
484   PetscFunctionBegin;
485   if (baij->donotstash || mat->nooffprocentries) PetscFunctionReturn(0);
486 
487   /* make sure all processors are either in INSERTMODE or ADDMODE */
488   ierr = MPI_Allreduce((PetscEnum*)&mat->insertmode,(PetscEnum*)&addv,1,MPIU_ENUM,MPI_BOR,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
489   if (addv == (ADD_VALUES|INSERT_VALUES)) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Some processors inserted others added");
490   mat->insertmode = addv; /* in case this processor had no cache */
491 
492   ierr = MatStashScatterBegin_Private(mat,&mat->stash,mat->rmap->range);CHKERRQ(ierr);
493   ierr = MatStashScatterBegin_Private(mat,&mat->bstash,baij->rangebs);CHKERRQ(ierr);
494   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
495   ierr = PetscInfo2(mat,"Stash has %D entries,uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
496   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
497   ierr = PetscInfo2(mat,"Block-Stash has %D entries, uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
498   PetscFunctionReturn(0);
499 }
500 
501 #undef __FUNCT__
502 #define __FUNCT__ "MatAssemblyEnd_MPISBAIJ"
503 PetscErrorCode MatAssemblyEnd_MPISBAIJ(Mat mat,MatAssemblyType mode)
504 {
505   Mat_MPISBAIJ   *baij=(Mat_MPISBAIJ*)mat->data;
506   Mat_SeqSBAIJ   *a   =(Mat_SeqSBAIJ*)baij->A->data;
507   PetscErrorCode ierr;
508   PetscInt       i,j,rstart,ncols,flg,bs2=baij->bs2;
509   PetscInt       *row,*col;
510   PetscBool      other_disassembled;
511   PetscMPIInt    n;
512   PetscBool      r1,r2,r3;
513   MatScalar      *val;
514   InsertMode     addv = mat->insertmode;
515 
516   /* do not use 'b=(Mat_SeqBAIJ*)baij->B->data' as B can be reset in disassembly */
517   PetscFunctionBegin;
518   if (!baij->donotstash &&  !mat->nooffprocentries) {
519     while (1) {
520       ierr = MatStashScatterGetMesg_Private(&mat->stash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
521       if (!flg) break;
522 
523       for (i=0; i<n;) {
524         /* Now identify the consecutive vals belonging to the same row */
525         for (j=i,rstart=row[j]; j<n; j++) {
526           if (row[j] != rstart) break;
527         }
528         if (j < n) ncols = j-i;
529         else       ncols = n-i;
530         /* Now assemble all these values with a single function call */
531         ierr = MatSetValues_MPISBAIJ(mat,1,row+i,ncols,col+i,val+i,addv);CHKERRQ(ierr);
532         i    = j;
533       }
534     }
535     ierr = MatStashScatterEnd_Private(&mat->stash);CHKERRQ(ierr);
536     /* Now process the block-stash. Since the values are stashed column-oriented,
537        set the roworiented flag to column oriented, and after MatSetValues()
538        restore the original flags */
539     r1 = baij->roworiented;
540     r2 = a->roworiented;
541     r3 = ((Mat_SeqBAIJ*)baij->B->data)->roworiented;
542 
543     baij->roworiented = PETSC_FALSE;
544     a->roworiented    = PETSC_FALSE;
545 
546     ((Mat_SeqBAIJ*)baij->B->data)->roworiented = PETSC_FALSE; /* b->roworinted */
547     while (1) {
548       ierr = MatStashScatterGetMesg_Private(&mat->bstash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
549       if (!flg) break;
550 
551       for (i=0; i<n;) {
552         /* Now identify the consecutive vals belonging to the same row */
553         for (j=i,rstart=row[j]; j<n; j++) {
554           if (row[j] != rstart) break;
555         }
556         if (j < n) ncols = j-i;
557         else       ncols = n-i;
558         ierr = MatSetValuesBlocked_MPISBAIJ(mat,1,row+i,ncols,col+i,val+i*bs2,addv);CHKERRQ(ierr);
559         i    = j;
560       }
561     }
562     ierr = MatStashScatterEnd_Private(&mat->bstash);CHKERRQ(ierr);
563 
564     baij->roworiented = r1;
565     a->roworiented    = r2;
566 
567     ((Mat_SeqBAIJ*)baij->B->data)->roworiented = r3; /* b->roworinted */
568   }
569 
570   ierr = MatAssemblyBegin(baij->A,mode);CHKERRQ(ierr);
571   ierr = MatAssemblyEnd(baij->A,mode);CHKERRQ(ierr);
572 
573   /* determine if any processor has disassembled, if so we must
574      also disassemble ourselfs, in order that we may reassemble. */
575   /*
576      if nonzero structure of submatrix B cannot change then we know that
577      no processor disassembled thus we can skip this stuff
578   */
579   if (!((Mat_SeqBAIJ*)baij->B->data)->nonew) {
580     ierr = MPI_Allreduce(&mat->was_assembled,&other_disassembled,1,MPIU_BOOL,MPI_PROD,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
581     if (mat->was_assembled && !other_disassembled) {
582       ierr = MatDisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
583     }
584   }
585 
586   if (!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) {
587     ierr = MatSetUpMultiply_MPISBAIJ(mat);CHKERRQ(ierr); /* setup Mvctx and sMvctx */
588   }
589   ierr = MatAssemblyBegin(baij->B,mode);CHKERRQ(ierr);
590   ierr = MatAssemblyEnd(baij->B,mode);CHKERRQ(ierr);
591 
592   ierr = PetscFree2(baij->rowvalues,baij->rowindices);CHKERRQ(ierr);
593 
594   baij->rowvalues = 0;
595 
596   /* if no new nonzero locations are allowed in matrix then only set the matrix state the first time through */
597   if ((!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) || !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
598     PetscObjectState state = baij->A->nonzerostate + baij->B->nonzerostate;
599     ierr = MPI_Allreduce(&state,&mat->nonzerostate,1,MPIU_INT64,MPI_SUM,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
600   }
601   PetscFunctionReturn(0);
602 }
603 
604 extern PetscErrorCode MatView_SeqSBAIJ_ASCII(Mat,PetscViewer);
605 extern PetscErrorCode MatSetValues_MPIBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
606 #include <petscdraw.h>
607 #undef __FUNCT__
608 #define __FUNCT__ "MatView_MPISBAIJ_ASCIIorDraworSocket"
609 static PetscErrorCode MatView_MPISBAIJ_ASCIIorDraworSocket(Mat mat,PetscViewer viewer)
610 {
611   Mat_MPISBAIJ      *baij = (Mat_MPISBAIJ*)mat->data;
612   PetscErrorCode    ierr;
613   PetscInt          bs   = mat->rmap->bs;
614   PetscMPIInt       rank = baij->rank;
615   PetscBool         iascii,isdraw;
616   PetscViewer       sviewer;
617   PetscViewerFormat format;
618 
619   PetscFunctionBegin;
620   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
621   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
622   if (iascii) {
623     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
624     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
625       MatInfo info;
626       ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)mat),&rank);CHKERRQ(ierr);
627       ierr = MatGetInfo(mat,MAT_LOCAL,&info);CHKERRQ(ierr);
628       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_TRUE);CHKERRQ(ierr);
629       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);
630       ierr = MatGetInfo(baij->A,MAT_LOCAL,&info);CHKERRQ(ierr);
631       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] on-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
632       ierr = MatGetInfo(baij->B,MAT_LOCAL,&info);CHKERRQ(ierr);
633       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] off-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
634       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
635       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_FALSE);CHKERRQ(ierr);
636       ierr = PetscViewerASCIIPrintf(viewer,"Information on VecScatter used in matrix-vector product: \n");CHKERRQ(ierr);
637       ierr = VecScatterView(baij->Mvctx,viewer);CHKERRQ(ierr);
638       PetscFunctionReturn(0);
639     } else if (format == PETSC_VIEWER_ASCII_INFO) {
640       ierr = PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);CHKERRQ(ierr);
641       PetscFunctionReturn(0);
642     } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
643       PetscFunctionReturn(0);
644     }
645   }
646 
647   if (isdraw) {
648     PetscDraw draw;
649     PetscBool isnull;
650     ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
651     ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
652   }
653 
654   {
655     /* assemble the entire matrix onto first processor. */
656     Mat          A;
657     Mat_SeqSBAIJ *Aloc;
658     Mat_SeqBAIJ  *Bloc;
659     PetscInt     M = mat->rmap->N,N = mat->cmap->N,*ai,*aj,col,i,j,k,*rvals,mbs = baij->mbs;
660     MatScalar    *a;
661 
662     /* Should this be the same type as mat? */
663     ierr = MatCreate(PetscObjectComm((PetscObject)mat),&A);CHKERRQ(ierr);
664     if (!rank) {
665       ierr = MatSetSizes(A,M,N,M,N);CHKERRQ(ierr);
666     } else {
667       ierr = MatSetSizes(A,0,0,M,N);CHKERRQ(ierr);
668     }
669     ierr = MatSetType(A,MATMPISBAIJ);CHKERRQ(ierr);
670     ierr = MatMPISBAIJSetPreallocation(A,mat->rmap->bs,0,NULL,0,NULL);CHKERRQ(ierr);
671     ierr = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);
672     ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)A);CHKERRQ(ierr);
673 
674     /* copy over the A part */
675     Aloc = (Mat_SeqSBAIJ*)baij->A->data;
676     ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
677     ierr = PetscMalloc1(bs,&rvals);CHKERRQ(ierr);
678 
679     for (i=0; i<mbs; i++) {
680       rvals[0] = bs*(baij->rstartbs + i);
681       for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
682       for (j=ai[i]; j<ai[i+1]; j++) {
683         col = (baij->cstartbs+aj[j])*bs;
684         for (k=0; k<bs; k++) {
685           ierr = MatSetValues_MPISBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
686           col++;
687           a += bs;
688         }
689       }
690     }
691     /* copy over the B part */
692     Bloc = (Mat_SeqBAIJ*)baij->B->data;
693     ai   = Bloc->i; aj = Bloc->j; a = Bloc->a;
694     for (i=0; i<mbs; i++) {
695 
696       rvals[0] = bs*(baij->rstartbs + i);
697       for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
698       for (j=ai[i]; j<ai[i+1]; j++) {
699         col = baij->garray[aj[j]]*bs;
700         for (k=0; k<bs; k++) {
701           ierr = MatSetValues_MPIBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
702           col++;
703           a += bs;
704         }
705       }
706     }
707     ierr = PetscFree(rvals);CHKERRQ(ierr);
708     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
709     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
710     /*
711        Everyone has to call to draw the matrix since the graphics waits are
712        synchronized across all processors that share the PetscDraw object
713     */
714     ierr = PetscViewerGetSingleton(viewer,&sviewer);CHKERRQ(ierr);
715     if (!rank) {
716         ierr = MatView_SeqSBAIJ_ASCII(((Mat_MPISBAIJ*)(A->data))->A,sviewer);CHKERRQ(ierr);
717     }
718     ierr = PetscViewerRestoreSingleton(viewer,&sviewer);CHKERRQ(ierr);
719     ierr = MatDestroy(&A);CHKERRQ(ierr);
720   }
721   PetscFunctionReturn(0);
722 }
723 
724 #undef __FUNCT__
725 #define __FUNCT__ "MatView_MPISBAIJ"
726 PetscErrorCode MatView_MPISBAIJ(Mat mat,PetscViewer viewer)
727 {
728   PetscErrorCode ierr;
729   PetscBool      iascii,isdraw,issocket,isbinary;
730 
731   PetscFunctionBegin;
732   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
733   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
734   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSOCKET,&issocket);CHKERRQ(ierr);
735   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
736   if (iascii || isdraw || issocket || isbinary) {
737     ierr = MatView_MPISBAIJ_ASCIIorDraworSocket(mat,viewer);CHKERRQ(ierr);
738   }
739   PetscFunctionReturn(0);
740 }
741 
742 #undef __FUNCT__
743 #define __FUNCT__ "MatDestroy_MPISBAIJ"
744 PetscErrorCode MatDestroy_MPISBAIJ(Mat mat)
745 {
746   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
747   PetscErrorCode ierr;
748 
749   PetscFunctionBegin;
750 #if defined(PETSC_USE_LOG)
751   PetscLogObjectState((PetscObject)mat,"Rows=%D,Cols=%D",mat->rmap->N,mat->cmap->N);
752 #endif
753   ierr = MatStashDestroy_Private(&mat->stash);CHKERRQ(ierr);
754   ierr = MatStashDestroy_Private(&mat->bstash);CHKERRQ(ierr);
755   ierr = MatDestroy(&baij->A);CHKERRQ(ierr);
756   ierr = MatDestroy(&baij->B);CHKERRQ(ierr);
757 #if defined(PETSC_USE_CTABLE)
758   ierr = PetscTableDestroy(&baij->colmap);CHKERRQ(ierr);
759 #else
760   ierr = PetscFree(baij->colmap);CHKERRQ(ierr);
761 #endif
762   ierr = PetscFree(baij->garray);CHKERRQ(ierr);
763   ierr = VecDestroy(&baij->lvec);CHKERRQ(ierr);
764   ierr = VecScatterDestroy(&baij->Mvctx);CHKERRQ(ierr);
765   ierr = VecDestroy(&baij->slvec0);CHKERRQ(ierr);
766   ierr = VecDestroy(&baij->slvec0b);CHKERRQ(ierr);
767   ierr = VecDestroy(&baij->slvec1);CHKERRQ(ierr);
768   ierr = VecDestroy(&baij->slvec1a);CHKERRQ(ierr);
769   ierr = VecDestroy(&baij->slvec1b);CHKERRQ(ierr);
770   ierr = VecScatterDestroy(&baij->sMvctx);CHKERRQ(ierr);
771   ierr = PetscFree2(baij->rowvalues,baij->rowindices);CHKERRQ(ierr);
772   ierr = PetscFree(baij->barray);CHKERRQ(ierr);
773   ierr = PetscFree(baij->hd);CHKERRQ(ierr);
774   ierr = VecDestroy(&baij->diag);CHKERRQ(ierr);
775   ierr = VecDestroy(&baij->bb1);CHKERRQ(ierr);
776   ierr = VecDestroy(&baij->xx1);CHKERRQ(ierr);
777 #if defined(PETSC_USE_REAL_MAT_SINGLE)
778   ierr = PetscFree(baij->setvaluescopy);CHKERRQ(ierr);
779 #endif
780   ierr = PetscFree(baij->in_loc);CHKERRQ(ierr);
781   ierr = PetscFree(baij->v_loc);CHKERRQ(ierr);
782   ierr = PetscFree(baij->rangebs);CHKERRQ(ierr);
783   ierr = PetscFree(mat->data);CHKERRQ(ierr);
784 
785   ierr = PetscObjectChangeTypeName((PetscObject)mat,0);CHKERRQ(ierr);
786   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatStoreValues_C",NULL);CHKERRQ(ierr);
787   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatRetrieveValues_C",NULL);CHKERRQ(ierr);
788   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatGetDiagonalBlock_C",NULL);CHKERRQ(ierr);
789   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatMPISBAIJSetPreallocation_C",NULL);CHKERRQ(ierr);
790   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpisbaij_mpisbstrm_C",NULL);CHKERRQ(ierr);
791   PetscFunctionReturn(0);
792 }
793 
794 #undef __FUNCT__
795 #define __FUNCT__ "MatMult_MPISBAIJ_Hermitian"
796 PetscErrorCode MatMult_MPISBAIJ_Hermitian(Mat A,Vec xx,Vec yy)
797 {
798   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
799   PetscErrorCode ierr;
800   PetscInt       nt,mbs=a->mbs,bs=A->rmap->bs;
801   PetscScalar    *x,*from;
802 
803   PetscFunctionBegin;
804   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
805   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
806 
807   /* diagonal part */
808   ierr = (*a->A->ops->mult)(a->A,xx,a->slvec1a);CHKERRQ(ierr);
809   ierr = VecSet(a->slvec1b,0.0);CHKERRQ(ierr);
810 
811   /* subdiagonal part */
812   ierr = (*a->B->ops->multhermitiantranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
813 
814   /* copy x into the vec slvec0 */
815   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
816   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
817 
818   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
819   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
820   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
821 
822   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
823   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
824   /* supperdiagonal part */
825   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,yy);CHKERRQ(ierr);
826   PetscFunctionReturn(0);
827 }
828 
829 #undef __FUNCT__
830 #define __FUNCT__ "MatMult_MPISBAIJ"
831 PetscErrorCode MatMult_MPISBAIJ(Mat A,Vec xx,Vec yy)
832 {
833   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
834   PetscErrorCode ierr;
835   PetscInt       nt,mbs=a->mbs,bs=A->rmap->bs;
836   PetscScalar    *x,*from;
837 
838   PetscFunctionBegin;
839   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
840   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
841 
842   /* diagonal part */
843   ierr = (*a->A->ops->mult)(a->A,xx,a->slvec1a);CHKERRQ(ierr);
844   ierr = VecSet(a->slvec1b,0.0);CHKERRQ(ierr);
845 
846   /* subdiagonal part */
847   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
848 
849   /* copy x into the vec slvec0 */
850   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
851   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
852 
853   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
854   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
855   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
856 
857   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
858   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
859   /* supperdiagonal part */
860   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,yy);CHKERRQ(ierr);
861   PetscFunctionReturn(0);
862 }
863 
864 #undef __FUNCT__
865 #define __FUNCT__ "MatMult_MPISBAIJ_2comm"
866 PetscErrorCode MatMult_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy)
867 {
868   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
869   PetscErrorCode ierr;
870   PetscInt       nt;
871 
872   PetscFunctionBegin;
873   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
874   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
875 
876   ierr = VecGetLocalSize(yy,&nt);CHKERRQ(ierr);
877   if (nt != A->rmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible parition of A and yy");
878 
879   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
880   /* do diagonal part */
881   ierr = (*a->A->ops->mult)(a->A,xx,yy);CHKERRQ(ierr);
882   /* do supperdiagonal part */
883   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
884   ierr = (*a->B->ops->multadd)(a->B,a->lvec,yy,yy);CHKERRQ(ierr);
885   /* do subdiagonal part */
886   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
887   ierr = VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
888   ierr = VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
889   PetscFunctionReturn(0);
890 }
891 
892 #undef __FUNCT__
893 #define __FUNCT__ "MatMultAdd_MPISBAIJ"
894 PetscErrorCode MatMultAdd_MPISBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
895 {
896   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
897   PetscErrorCode ierr;
898   PetscInt       mbs=a->mbs,bs=A->rmap->bs;
899   PetscScalar    *x,*from,zero=0.0;
900 
901   PetscFunctionBegin;
902   /*
903   PetscSynchronizedPrintf(PetscObjectComm((PetscObject)A)," MatMultAdd is called ...\n");
904   PetscSynchronizedFlush(PetscObjectComm((PetscObject)A),PETSC_STDOUT);
905   */
906   /* diagonal part */
907   ierr = (*a->A->ops->multadd)(a->A,xx,yy,a->slvec1a);CHKERRQ(ierr);
908   ierr = VecSet(a->slvec1b,zero);CHKERRQ(ierr);
909 
910   /* subdiagonal part */
911   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
912 
913   /* copy x into the vec slvec0 */
914   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
915   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
916   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
917   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
918 
919   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
920   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
921   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
922 
923   /* supperdiagonal part */
924   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,zz);CHKERRQ(ierr);
925   PetscFunctionReturn(0);
926 }
927 
928 #undef __FUNCT__
929 #define __FUNCT__ "MatMultAdd_MPISBAIJ_2comm"
930 PetscErrorCode MatMultAdd_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy,Vec zz)
931 {
932   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
933   PetscErrorCode ierr;
934 
935   PetscFunctionBegin;
936   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
937   /* do diagonal part */
938   ierr = (*a->A->ops->multadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
939   /* do supperdiagonal part */
940   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
941   ierr = (*a->B->ops->multadd)(a->B,a->lvec,zz,zz);CHKERRQ(ierr);
942 
943   /* do subdiagonal part */
944   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
945   ierr = VecScatterBegin(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
946   ierr = VecScatterEnd(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
947   PetscFunctionReturn(0);
948 }
949 
950 /*
951   This only works correctly for square matrices where the subblock A->A is the
952    diagonal block
953 */
954 #undef __FUNCT__
955 #define __FUNCT__ "MatGetDiagonal_MPISBAIJ"
956 PetscErrorCode MatGetDiagonal_MPISBAIJ(Mat A,Vec v)
957 {
958   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
959   PetscErrorCode ierr;
960 
961   PetscFunctionBegin;
962   /* if (a->rmap->N != a->cmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Supports only square matrix where A->A is diag block"); */
963   ierr = MatGetDiagonal(a->A,v);CHKERRQ(ierr);
964   PetscFunctionReturn(0);
965 }
966 
967 #undef __FUNCT__
968 #define __FUNCT__ "MatScale_MPISBAIJ"
969 PetscErrorCode MatScale_MPISBAIJ(Mat A,PetscScalar aa)
970 {
971   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
972   PetscErrorCode ierr;
973 
974   PetscFunctionBegin;
975   ierr = MatScale(a->A,aa);CHKERRQ(ierr);
976   ierr = MatScale(a->B,aa);CHKERRQ(ierr);
977   PetscFunctionReturn(0);
978 }
979 
980 #undef __FUNCT__
981 #define __FUNCT__ "MatGetRow_MPISBAIJ"
982 PetscErrorCode MatGetRow_MPISBAIJ(Mat matin,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
983 {
984   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
985   PetscScalar    *vworkA,*vworkB,**pvA,**pvB,*v_p;
986   PetscErrorCode ierr;
987   PetscInt       bs = matin->rmap->bs,bs2 = mat->bs2,i,*cworkA,*cworkB,**pcA,**pcB;
988   PetscInt       nztot,nzA,nzB,lrow,brstart = matin->rmap->rstart,brend = matin->rmap->rend;
989   PetscInt       *cmap,*idx_p,cstart = mat->rstartbs;
990 
991   PetscFunctionBegin;
992   if (mat->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Already active");
993   mat->getrowactive = PETSC_TRUE;
994 
995   if (!mat->rowvalues && (idx || v)) {
996     /*
997         allocate enough space to hold information from the longest row.
998     */
999     Mat_SeqSBAIJ *Aa = (Mat_SeqSBAIJ*)mat->A->data;
1000     Mat_SeqBAIJ  *Ba = (Mat_SeqBAIJ*)mat->B->data;
1001     PetscInt     max = 1,mbs = mat->mbs,tmp;
1002     for (i=0; i<mbs; i++) {
1003       tmp = Aa->i[i+1] - Aa->i[i] + Ba->i[i+1] - Ba->i[i]; /* row length */
1004       if (max < tmp) max = tmp;
1005     }
1006     ierr = PetscMalloc2(max*bs2,&mat->rowvalues,max*bs2,&mat->rowindices);CHKERRQ(ierr);
1007   }
1008 
1009   if (row < brstart || row >= brend) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local rows");
1010   lrow = row - brstart;  /* local row index */
1011 
1012   pvA = &vworkA; pcA = &cworkA; pvB = &vworkB; pcB = &cworkB;
1013   if (!v)   {pvA = 0; pvB = 0;}
1014   if (!idx) {pcA = 0; if (!v) pcB = 0;}
1015   ierr  = (*mat->A->ops->getrow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1016   ierr  = (*mat->B->ops->getrow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1017   nztot = nzA + nzB;
1018 
1019   cmap = mat->garray;
1020   if (v  || idx) {
1021     if (nztot) {
1022       /* Sort by increasing column numbers, assuming A and B already sorted */
1023       PetscInt imark = -1;
1024       if (v) {
1025         *v = v_p = mat->rowvalues;
1026         for (i=0; i<nzB; i++) {
1027           if (cmap[cworkB[i]/bs] < cstart) v_p[i] = vworkB[i];
1028           else break;
1029         }
1030         imark = i;
1031         for (i=0; i<nzA; i++)     v_p[imark+i] = vworkA[i];
1032         for (i=imark; i<nzB; i++) v_p[nzA+i]   = vworkB[i];
1033       }
1034       if (idx) {
1035         *idx = idx_p = mat->rowindices;
1036         if (imark > -1) {
1037           for (i=0; i<imark; i++) {
1038             idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1039           }
1040         } else {
1041           for (i=0; i<nzB; i++) {
1042             if (cmap[cworkB[i]/bs] < cstart) idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1043             else break;
1044           }
1045           imark = i;
1046         }
1047         for (i=0; i<nzA; i++)     idx_p[imark+i] = cstart*bs + cworkA[i];
1048         for (i=imark; i<nzB; i++) idx_p[nzA+i]   = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1049       }
1050     } else {
1051       if (idx) *idx = 0;
1052       if (v)   *v   = 0;
1053     }
1054   }
1055   *nz  = nztot;
1056   ierr = (*mat->A->ops->restorerow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1057   ierr = (*mat->B->ops->restorerow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1058   PetscFunctionReturn(0);
1059 }
1060 
1061 #undef __FUNCT__
1062 #define __FUNCT__ "MatRestoreRow_MPISBAIJ"
1063 PetscErrorCode MatRestoreRow_MPISBAIJ(Mat mat,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1064 {
1065   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
1066 
1067   PetscFunctionBegin;
1068   if (!baij->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"MatGetRow() must be called first");
1069   baij->getrowactive = PETSC_FALSE;
1070   PetscFunctionReturn(0);
1071 }
1072 
1073 #undef __FUNCT__
1074 #define __FUNCT__ "MatGetRowUpperTriangular_MPISBAIJ"
1075 PetscErrorCode MatGetRowUpperTriangular_MPISBAIJ(Mat A)
1076 {
1077   Mat_MPISBAIJ *a  = (Mat_MPISBAIJ*)A->data;
1078   Mat_SeqSBAIJ *aA = (Mat_SeqSBAIJ*)a->A->data;
1079 
1080   PetscFunctionBegin;
1081   aA->getrow_utriangular = PETSC_TRUE;
1082   PetscFunctionReturn(0);
1083 }
1084 #undef __FUNCT__
1085 #define __FUNCT__ "MatRestoreRowUpperTriangular_MPISBAIJ"
1086 PetscErrorCode MatRestoreRowUpperTriangular_MPISBAIJ(Mat A)
1087 {
1088   Mat_MPISBAIJ *a  = (Mat_MPISBAIJ*)A->data;
1089   Mat_SeqSBAIJ *aA = (Mat_SeqSBAIJ*)a->A->data;
1090 
1091   PetscFunctionBegin;
1092   aA->getrow_utriangular = PETSC_FALSE;
1093   PetscFunctionReturn(0);
1094 }
1095 
1096 #undef __FUNCT__
1097 #define __FUNCT__ "MatRealPart_MPISBAIJ"
1098 PetscErrorCode MatRealPart_MPISBAIJ(Mat A)
1099 {
1100   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1101   PetscErrorCode ierr;
1102 
1103   PetscFunctionBegin;
1104   ierr = MatRealPart(a->A);CHKERRQ(ierr);
1105   ierr = MatRealPart(a->B);CHKERRQ(ierr);
1106   PetscFunctionReturn(0);
1107 }
1108 
1109 #undef __FUNCT__
1110 #define __FUNCT__ "MatImaginaryPart_MPISBAIJ"
1111 PetscErrorCode MatImaginaryPart_MPISBAIJ(Mat A)
1112 {
1113   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1114   PetscErrorCode ierr;
1115 
1116   PetscFunctionBegin;
1117   ierr = MatImaginaryPart(a->A);CHKERRQ(ierr);
1118   ierr = MatImaginaryPart(a->B);CHKERRQ(ierr);
1119   PetscFunctionReturn(0);
1120 }
1121 
1122 #undef __FUNCT__
1123 #define __FUNCT__ "MatZeroEntries_MPISBAIJ"
1124 PetscErrorCode MatZeroEntries_MPISBAIJ(Mat A)
1125 {
1126   Mat_MPISBAIJ   *l = (Mat_MPISBAIJ*)A->data;
1127   PetscErrorCode ierr;
1128 
1129   PetscFunctionBegin;
1130   ierr = MatZeroEntries(l->A);CHKERRQ(ierr);
1131   ierr = MatZeroEntries(l->B);CHKERRQ(ierr);
1132   PetscFunctionReturn(0);
1133 }
1134 
1135 #undef __FUNCT__
1136 #define __FUNCT__ "MatGetInfo_MPISBAIJ"
1137 PetscErrorCode MatGetInfo_MPISBAIJ(Mat matin,MatInfoType flag,MatInfo *info)
1138 {
1139   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)matin->data;
1140   Mat            A  = a->A,B = a->B;
1141   PetscErrorCode ierr;
1142   PetscReal      isend[5],irecv[5];
1143 
1144   PetscFunctionBegin;
1145   info->block_size = (PetscReal)matin->rmap->bs;
1146 
1147   ierr = MatGetInfo(A,MAT_LOCAL,info);CHKERRQ(ierr);
1148 
1149   isend[0] = info->nz_used; isend[1] = info->nz_allocated; isend[2] = info->nz_unneeded;
1150   isend[3] = info->memory;  isend[4] = info->mallocs;
1151 
1152   ierr = MatGetInfo(B,MAT_LOCAL,info);CHKERRQ(ierr);
1153 
1154   isend[0] += info->nz_used; isend[1] += info->nz_allocated; isend[2] += info->nz_unneeded;
1155   isend[3] += info->memory;  isend[4] += info->mallocs;
1156   if (flag == MAT_LOCAL) {
1157     info->nz_used      = isend[0];
1158     info->nz_allocated = isend[1];
1159     info->nz_unneeded  = isend[2];
1160     info->memory       = isend[3];
1161     info->mallocs      = isend[4];
1162   } else if (flag == MAT_GLOBAL_MAX) {
1163     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)matin));CHKERRQ(ierr);
1164 
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,PetscObjectComm((PetscObject)matin));CHKERRQ(ierr);
1172 
1173     info->nz_used      = irecv[0];
1174     info->nz_allocated = irecv[1];
1175     info->nz_unneeded  = irecv[2];
1176     info->memory       = irecv[3];
1177     info->mallocs      = irecv[4];
1178   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Unknown MatInfoType argument %d",(int)flag);
1179   info->fill_ratio_given  = 0; /* no parallel LU/ILU/Cholesky */
1180   info->fill_ratio_needed = 0;
1181   info->factor_mallocs    = 0;
1182   PetscFunctionReturn(0);
1183 }
1184 
1185 #undef __FUNCT__
1186 #define __FUNCT__ "MatSetOption_MPISBAIJ"
1187 PetscErrorCode MatSetOption_MPISBAIJ(Mat A,MatOption op,PetscBool flg)
1188 {
1189   Mat_MPISBAIJ   *a  = (Mat_MPISBAIJ*)A->data;
1190   Mat_SeqSBAIJ   *aA = (Mat_SeqSBAIJ*)a->A->data;
1191   PetscErrorCode ierr;
1192 
1193   PetscFunctionBegin;
1194   switch (op) {
1195   case MAT_NEW_NONZERO_LOCATIONS:
1196   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1197   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1198   case MAT_KEEP_NONZERO_PATTERN:
1199   case MAT_NEW_NONZERO_LOCATION_ERR:
1200     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1201     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1202     break;
1203   case MAT_ROW_ORIENTED:
1204     a->roworiented = flg;
1205 
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 
1222     A->ops->mult = MatMult_MPISBAIJ_Hermitian;
1223     break;
1224   case MAT_SPD:
1225     A->spd_set = PETSC_TRUE;
1226     A->spd     = flg;
1227     if (flg) {
1228       A->symmetric                  = PETSC_TRUE;
1229       A->structurally_symmetric     = PETSC_TRUE;
1230       A->symmetric_set              = PETSC_TRUE;
1231       A->structurally_symmetric_set = PETSC_TRUE;
1232     }
1233     break;
1234   case MAT_SYMMETRIC:
1235     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1236     break;
1237   case MAT_STRUCTURALLY_SYMMETRIC:
1238     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1239     break;
1240   case MAT_SYMMETRY_ETERNAL:
1241     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Matrix must be symmetric");
1242     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1243     break;
1244   case MAT_IGNORE_LOWER_TRIANGULAR:
1245     aA->ignore_ltriangular = flg;
1246     break;
1247   case MAT_ERROR_LOWER_TRIANGULAR:
1248     aA->ignore_ltriangular = flg;
1249     break;
1250   case MAT_GETROW_UPPERTRIANGULAR:
1251     aA->getrow_utriangular = flg;
1252     break;
1253   default:
1254     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
1255   }
1256   PetscFunctionReturn(0);
1257 }
1258 
1259 #undef __FUNCT__
1260 #define __FUNCT__ "MatTranspose_MPISBAIJ"
1261 PetscErrorCode MatTranspose_MPISBAIJ(Mat A,MatReuse reuse,Mat *B)
1262 {
1263   PetscErrorCode ierr;
1264 
1265   PetscFunctionBegin;
1266   if (MAT_INITIAL_MATRIX || *B != A) {
1267     ierr = MatDuplicate(A,MAT_COPY_VALUES,B);CHKERRQ(ierr);
1268   }
1269   PetscFunctionReturn(0);
1270 }
1271 
1272 #undef __FUNCT__
1273 #define __FUNCT__ "MatDiagonalScale_MPISBAIJ"
1274 PetscErrorCode MatDiagonalScale_MPISBAIJ(Mat mat,Vec ll,Vec rr)
1275 {
1276   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
1277   Mat            a     = baij->A, b=baij->B;
1278   PetscErrorCode ierr;
1279   PetscInt       nv,m,n;
1280   PetscBool      flg;
1281 
1282   PetscFunctionBegin;
1283   if (ll != rr) {
1284     ierr = VecEqual(ll,rr,&flg);CHKERRQ(ierr);
1285     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"For symmetric format, left and right scaling vectors must be same\n");
1286   }
1287   if (!ll) PetscFunctionReturn(0);
1288 
1289   ierr = MatGetLocalSize(mat,&m,&n);CHKERRQ(ierr);
1290   if (m != n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"For symmetric format, local size %d %d must be same",m,n);
1291 
1292   ierr = VecGetLocalSize(rr,&nv);CHKERRQ(ierr);
1293   if (nv!=n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Left and right vector non-conforming local size");
1294 
1295   ierr = VecScatterBegin(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1296 
1297   /* left diagonalscale the off-diagonal part */
1298   ierr = (*b->ops->diagonalscale)(b,ll,NULL);CHKERRQ(ierr);
1299 
1300   /* scale the diagonal part */
1301   ierr = (*a->ops->diagonalscale)(a,ll,rr);CHKERRQ(ierr);
1302 
1303   /* right diagonalscale the off-diagonal part */
1304   ierr = VecScatterEnd(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1305   ierr = (*b->ops->diagonalscale)(b,NULL,baij->lvec);CHKERRQ(ierr);
1306   PetscFunctionReturn(0);
1307 }
1308 
1309 #undef __FUNCT__
1310 #define __FUNCT__ "MatSetUnfactored_MPISBAIJ"
1311 PetscErrorCode MatSetUnfactored_MPISBAIJ(Mat A)
1312 {
1313   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1314   PetscErrorCode ierr;
1315 
1316   PetscFunctionBegin;
1317   ierr = MatSetUnfactored(a->A);CHKERRQ(ierr);
1318   PetscFunctionReturn(0);
1319 }
1320 
1321 static PetscErrorCode MatDuplicate_MPISBAIJ(Mat,MatDuplicateOption,Mat*);
1322 
1323 #undef __FUNCT__
1324 #define __FUNCT__ "MatEqual_MPISBAIJ"
1325 PetscErrorCode MatEqual_MPISBAIJ(Mat A,Mat B,PetscBool  *flag)
1326 {
1327   Mat_MPISBAIJ   *matB = (Mat_MPISBAIJ*)B->data,*matA = (Mat_MPISBAIJ*)A->data;
1328   Mat            a,b,c,d;
1329   PetscBool      flg;
1330   PetscErrorCode ierr;
1331 
1332   PetscFunctionBegin;
1333   a = matA->A; b = matA->B;
1334   c = matB->A; d = matB->B;
1335 
1336   ierr = MatEqual(a,c,&flg);CHKERRQ(ierr);
1337   if (flg) {
1338     ierr = MatEqual(b,d,&flg);CHKERRQ(ierr);
1339   }
1340   ierr = MPI_Allreduce(&flg,flag,1,MPIU_BOOL,MPI_LAND,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
1341   PetscFunctionReturn(0);
1342 }
1343 
1344 #undef __FUNCT__
1345 #define __FUNCT__ "MatCopy_MPISBAIJ"
1346 PetscErrorCode MatCopy_MPISBAIJ(Mat A,Mat B,MatStructure str)
1347 {
1348   PetscErrorCode ierr;
1349   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1350   Mat_MPISBAIJ   *b = (Mat_MPISBAIJ*)B->data;
1351 
1352   PetscFunctionBegin;
1353   /* If the two matrices don't have the same copy implementation, they aren't compatible for fast copy. */
1354   if ((str != SAME_NONZERO_PATTERN) || (A->ops->copy != B->ops->copy)) {
1355     ierr = MatGetRowUpperTriangular(A);CHKERRQ(ierr);
1356     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
1357     ierr = MatRestoreRowUpperTriangular(A);CHKERRQ(ierr);
1358   } else {
1359     ierr = MatCopy(a->A,b->A,str);CHKERRQ(ierr);
1360     ierr = MatCopy(a->B,b->B,str);CHKERRQ(ierr);
1361   }
1362   PetscFunctionReturn(0);
1363 }
1364 
1365 #undef __FUNCT__
1366 #define __FUNCT__ "MatSetUp_MPISBAIJ"
1367 PetscErrorCode MatSetUp_MPISBAIJ(Mat A)
1368 {
1369   PetscErrorCode ierr;
1370 
1371   PetscFunctionBegin;
1372   ierr = MatMPISBAIJSetPreallocation(A,A->rmap->bs,PETSC_DEFAULT,0,PETSC_DEFAULT,0);CHKERRQ(ierr);
1373   PetscFunctionReturn(0);
1374 }
1375 
1376 #undef __FUNCT__
1377 #define __FUNCT__ "MatAXPY_MPISBAIJ"
1378 PetscErrorCode MatAXPY_MPISBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
1379 {
1380   PetscErrorCode ierr;
1381   Mat_MPISBAIJ   *xx=(Mat_MPISBAIJ*)X->data,*yy=(Mat_MPISBAIJ*)Y->data;
1382   PetscBLASInt   bnz,one=1;
1383   Mat_SeqSBAIJ   *xa,*ya;
1384   Mat_SeqBAIJ    *xb,*yb;
1385 
1386   PetscFunctionBegin;
1387   if (str == SAME_NONZERO_PATTERN) {
1388     PetscScalar alpha = a;
1389     xa   = (Mat_SeqSBAIJ*)xx->A->data;
1390     ya   = (Mat_SeqSBAIJ*)yy->A->data;
1391     ierr = PetscBLASIntCast(xa->nz,&bnz);CHKERRQ(ierr);
1392     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,xa->a,&one,ya->a,&one));
1393     xb   = (Mat_SeqBAIJ*)xx->B->data;
1394     yb   = (Mat_SeqBAIJ*)yy->B->data;
1395     ierr = PetscBLASIntCast(xb->nz,&bnz);CHKERRQ(ierr);
1396     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,xb->a,&one,yb->a,&one));
1397     ierr = PetscObjectStateIncrease((PetscObject)Y);CHKERRQ(ierr);
1398   } else {
1399     Mat      B;
1400     PetscInt *nnz_d,*nnz_o,bs=Y->rmap->bs;
1401     if (bs != X->rmap->bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Matrices must have same block size");
1402     ierr = MatGetRowUpperTriangular(X);CHKERRQ(ierr);
1403     ierr = MatGetRowUpperTriangular(Y);CHKERRQ(ierr);
1404     ierr = PetscMalloc1(yy->A->rmap->N,&nnz_d);CHKERRQ(ierr);
1405     ierr = PetscMalloc1(yy->B->rmap->N,&nnz_o);CHKERRQ(ierr);
1406     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
1407     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
1408     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
1409     ierr = MatSetBlockSizesFromMats(B,Y,Y);CHKERRQ(ierr);
1410     ierr = MatSetType(B,MATMPISBAIJ);CHKERRQ(ierr);
1411     ierr = MatAXPYGetPreallocation_SeqSBAIJ(yy->A,xx->A,nnz_d);CHKERRQ(ierr);
1412     ierr = MatAXPYGetPreallocation_MPIBAIJ(yy->B,yy->garray,xx->B,xx->garray,nnz_o);CHKERRQ(ierr);
1413     ierr = MatMPISBAIJSetPreallocation(B,bs,0,nnz_d,0,nnz_o);CHKERRQ(ierr);
1414     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
1415     ierr = MatHeaderReplace(Y,B);CHKERRQ(ierr);
1416     ierr = PetscFree(nnz_d);CHKERRQ(ierr);
1417     ierr = PetscFree(nnz_o);CHKERRQ(ierr);
1418     ierr = MatRestoreRowUpperTriangular(X);CHKERRQ(ierr);
1419     ierr = MatRestoreRowUpperTriangular(Y);CHKERRQ(ierr);
1420   }
1421   PetscFunctionReturn(0);
1422 }
1423 
1424 #undef __FUNCT__
1425 #define __FUNCT__ "MatGetSubMatrices_MPISBAIJ"
1426 PetscErrorCode MatGetSubMatrices_MPISBAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
1427 {
1428   PetscErrorCode ierr;
1429   PetscInt       i;
1430   PetscBool      flg;
1431 
1432   PetscFunctionBegin;
1433   ierr = MatGetSubMatrices_MPIBAIJ(A,n,irow,icol,scall,B);CHKERRQ(ierr);
1434   for (i=0; i<n; i++) {
1435     ierr = ISEqual(irow[i],icol[i],&flg);CHKERRQ(ierr);
1436     if (!flg) { /* *B[i] is non-symmetric, set flag */
1437       ierr = MatSetOption(*B[i],MAT_SYMMETRIC,PETSC_FALSE);CHKERRQ(ierr);
1438     }
1439   }
1440   PetscFunctionReturn(0);
1441 }
1442 
1443 /* -------------------------------------------------------------------*/
1444 static struct _MatOps MatOps_Values = {MatSetValues_MPISBAIJ,
1445                                        MatGetRow_MPISBAIJ,
1446                                        MatRestoreRow_MPISBAIJ,
1447                                        MatMult_MPISBAIJ,
1448                                /*  4*/ MatMultAdd_MPISBAIJ,
1449                                        MatMult_MPISBAIJ,       /* transpose versions are same as non-transpose */
1450                                        MatMultAdd_MPISBAIJ,
1451                                        0,
1452                                        0,
1453                                        0,
1454                                /* 10*/ 0,
1455                                        0,
1456                                        0,
1457                                        MatSOR_MPISBAIJ,
1458                                        MatTranspose_MPISBAIJ,
1459                                /* 15*/ MatGetInfo_MPISBAIJ,
1460                                        MatEqual_MPISBAIJ,
1461                                        MatGetDiagonal_MPISBAIJ,
1462                                        MatDiagonalScale_MPISBAIJ,
1463                                        MatNorm_MPISBAIJ,
1464                                /* 20*/ MatAssemblyBegin_MPISBAIJ,
1465                                        MatAssemblyEnd_MPISBAIJ,
1466                                        MatSetOption_MPISBAIJ,
1467                                        MatZeroEntries_MPISBAIJ,
1468                                /* 24*/ 0,
1469                                        0,
1470                                        0,
1471                                        0,
1472                                        0,
1473                                /* 29*/ MatSetUp_MPISBAIJ,
1474                                        0,
1475                                        0,
1476                                        0,
1477                                        0,
1478                                /* 34*/ MatDuplicate_MPISBAIJ,
1479                                        0,
1480                                        0,
1481                                        0,
1482                                        0,
1483                                /* 39*/ MatAXPY_MPISBAIJ,
1484                                        MatGetSubMatrices_MPISBAIJ,
1485                                        MatIncreaseOverlap_MPISBAIJ,
1486                                        MatGetValues_MPISBAIJ,
1487                                        MatCopy_MPISBAIJ,
1488                                /* 44*/ 0,
1489                                        MatScale_MPISBAIJ,
1490                                        0,
1491                                        0,
1492                                        0,
1493                                /* 49*/ 0,
1494                                        0,
1495                                        0,
1496                                        0,
1497                                        0,
1498                                /* 54*/ 0,
1499                                        0,
1500                                        MatSetUnfactored_MPISBAIJ,
1501                                        0,
1502                                        MatSetValuesBlocked_MPISBAIJ,
1503                                /* 59*/ 0,
1504                                        0,
1505                                        0,
1506                                        0,
1507                                        0,
1508                                /* 64*/ 0,
1509                                        0,
1510                                        0,
1511                                        0,
1512                                        0,
1513                                /* 69*/ MatGetRowMaxAbs_MPISBAIJ,
1514                                        0,
1515                                        0,
1516                                        0,
1517                                        0,
1518                                /* 74*/ 0,
1519                                        0,
1520                                        0,
1521                                        0,
1522                                        0,
1523                                /* 79*/ 0,
1524                                        0,
1525                                        0,
1526                                        0,
1527                                        MatLoad_MPISBAIJ,
1528                                /* 84*/ 0,
1529                                        0,
1530                                        0,
1531                                        0,
1532                                        0,
1533                                /* 89*/ 0,
1534                                        0,
1535                                        0,
1536                                        0,
1537                                        0,
1538                                /* 94*/ 0,
1539                                        0,
1540                                        0,
1541                                        0,
1542                                        0,
1543                                /* 99*/ 0,
1544                                        0,
1545                                        0,
1546                                        0,
1547                                        0,
1548                                /*104*/ 0,
1549                                        MatRealPart_MPISBAIJ,
1550                                        MatImaginaryPart_MPISBAIJ,
1551                                        MatGetRowUpperTriangular_MPISBAIJ,
1552                                        MatRestoreRowUpperTriangular_MPISBAIJ,
1553                                /*109*/ 0,
1554                                        0,
1555                                        0,
1556                                        0,
1557                                        0,
1558                                /*114*/ 0,
1559                                        0,
1560                                        0,
1561                                        0,
1562                                        0,
1563                                /*119*/ 0,
1564                                        0,
1565                                        0,
1566                                        0,
1567                                        0,
1568                                /*124*/ 0,
1569                                        0,
1570                                        0,
1571                                        0,
1572                                        0,
1573                                /*129*/ 0,
1574                                        0,
1575                                        0,
1576                                        0,
1577                                        0,
1578                                /*134*/ 0,
1579                                        0,
1580                                        0,
1581                                        0,
1582                                        0,
1583                                /*139*/ 0,
1584                                        0,
1585                                        0,
1586                                        0,
1587                                        0,
1588                                 /*144*/MatCreateMPIMatConcatenateSeqMat_MPISBAIJ
1589 };
1590 
1591 #undef __FUNCT__
1592 #define __FUNCT__ "MatGetDiagonalBlock_MPISBAIJ"
1593 PetscErrorCode  MatGetDiagonalBlock_MPISBAIJ(Mat A,Mat *a)
1594 {
1595   PetscFunctionBegin;
1596   *a = ((Mat_MPISBAIJ*)A->data)->A;
1597   PetscFunctionReturn(0);
1598 }
1599 
1600 #undef __FUNCT__
1601 #define __FUNCT__ "MatMPISBAIJSetPreallocation_MPISBAIJ"
1602 PetscErrorCode  MatMPISBAIJSetPreallocation_MPISBAIJ(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt *d_nnz,PetscInt o_nz,const PetscInt *o_nnz)
1603 {
1604   Mat_MPISBAIJ   *b;
1605   PetscErrorCode ierr;
1606   PetscInt       i,mbs,Mbs;
1607 
1608   PetscFunctionBegin;
1609   ierr = MatSetBlockSize(B,PetscAbs(bs));CHKERRQ(ierr);
1610   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1611   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1612   ierr = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
1613 
1614   b   = (Mat_MPISBAIJ*)B->data;
1615   mbs = B->rmap->n/bs;
1616   Mbs = B->rmap->N/bs;
1617   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);
1618 
1619   B->rmap->bs = bs;
1620   b->bs2      = bs*bs;
1621   b->mbs      = mbs;
1622   b->Mbs      = Mbs;
1623   b->nbs      = B->cmap->n/bs;
1624   b->Nbs      = B->cmap->N/bs;
1625 
1626   for (i=0; i<=b->size; i++) {
1627     b->rangebs[i] = B->rmap->range[i]/bs;
1628   }
1629   b->rstartbs = B->rmap->rstart/bs;
1630   b->rendbs   = B->rmap->rend/bs;
1631 
1632   b->cstartbs = B->cmap->rstart/bs;
1633   b->cendbs   = B->cmap->rend/bs;
1634 
1635   if (!B->preallocated) {
1636     ierr = MatCreate(PETSC_COMM_SELF,&b->A);CHKERRQ(ierr);
1637     ierr = MatSetSizes(b->A,B->rmap->n,B->cmap->n,B->rmap->n,B->cmap->n);CHKERRQ(ierr);
1638     ierr = MatSetType(b->A,MATSEQSBAIJ);CHKERRQ(ierr);
1639     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->A);CHKERRQ(ierr);
1640     ierr = MatCreate(PETSC_COMM_SELF,&b->B);CHKERRQ(ierr);
1641     ierr = MatSetSizes(b->B,B->rmap->n,B->cmap->N,B->rmap->n,B->cmap->N);CHKERRQ(ierr);
1642     ierr = MatSetType(b->B,MATSEQBAIJ);CHKERRQ(ierr);
1643     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->B);CHKERRQ(ierr);
1644     ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),bs,&B->bstash);CHKERRQ(ierr);
1645   }
1646 
1647   ierr = MatSeqSBAIJSetPreallocation(b->A,bs,d_nz,d_nnz);CHKERRQ(ierr);
1648   ierr = MatSeqBAIJSetPreallocation(b->B,bs,o_nz,o_nnz);CHKERRQ(ierr);
1649 
1650   B->preallocated = PETSC_TRUE;
1651   PetscFunctionReturn(0);
1652 }
1653 
1654 #undef __FUNCT__
1655 #define __FUNCT__ "MatMPISBAIJSetPreallocationCSR_MPISBAIJ"
1656 PetscErrorCode MatMPISBAIJSetPreallocationCSR_MPISBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
1657 {
1658   PetscInt       m,rstart,cstart,cend;
1659   PetscInt       i,j,d,nz,nz_max=0,*d_nnz=0,*o_nnz=0;
1660   const PetscInt *JJ    =0;
1661   PetscScalar    *values=0;
1662   PetscErrorCode ierr;
1663 
1664   PetscFunctionBegin;
1665   if (bs < 1) SETERRQ1(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive but it is %D",bs);
1666   ierr   = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
1667   ierr   = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
1668   ierr   = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1669   ierr   = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1670   ierr   = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
1671   m      = B->rmap->n/bs;
1672   rstart = B->rmap->rstart/bs;
1673   cstart = B->cmap->rstart/bs;
1674   cend   = B->cmap->rend/bs;
1675 
1676   if (ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"ii[0] must be 0 but it is %D",ii[0]);
1677   ierr = PetscMalloc2(m,&d_nnz,m,&o_nnz);CHKERRQ(ierr);
1678   for (i=0; i<m; i++) {
1679     nz = ii[i+1] - ii[i];
1680     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Local row %D has a negative number of columns %D",i,nz);
1681     nz_max = PetscMax(nz_max,nz);
1682     JJ     = jj + ii[i];
1683     for (j=0; j<nz; j++) {
1684       if (*JJ >= cstart) break;
1685       JJ++;
1686     }
1687     d = 0;
1688     for (; j<nz; j++) {
1689       if (*JJ++ >= cend) break;
1690       d++;
1691     }
1692     d_nnz[i] = d;
1693     o_nnz[i] = nz - d;
1694   }
1695   ierr = MatMPISBAIJSetPreallocation(B,bs,0,d_nnz,0,o_nnz);CHKERRQ(ierr);
1696   ierr = PetscFree2(d_nnz,o_nnz);CHKERRQ(ierr);
1697 
1698   values = (PetscScalar*)V;
1699   if (!values) {
1700     ierr = PetscMalloc1(bs*bs*nz_max,&values);CHKERRQ(ierr);
1701     ierr = PetscMemzero(values,bs*bs*nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
1702   }
1703   for (i=0; i<m; i++) {
1704     PetscInt          row    = i + rstart;
1705     PetscInt          ncols  = ii[i+1] - ii[i];
1706     const PetscInt    *icols = jj + ii[i];
1707     const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
1708     ierr = MatSetValuesBlocked_MPISBAIJ(B,1,&row,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
1709   }
1710 
1711   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
1712   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1713   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1714   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
1715   PetscFunctionReturn(0);
1716 }
1717 
1718 /*MC
1719    MATMPISBAIJ - MATMPISBAIJ = "mpisbaij" - A matrix type to be used for distributed symmetric sparse block matrices,
1720    based on block compressed sparse row format.  Only the upper triangular portion of the "diagonal" portion of
1721    the matrix is stored.
1722 
1723   For complex numbers by default this matrix is symmetric, NOT Hermitian symmetric. To make it Hermitian symmetric you
1724   can call MatSetOption(Mat, MAT_HERMITIAN);
1725 
1726    Options Database Keys:
1727 . -mat_type mpisbaij - sets the matrix type to "mpisbaij" during a call to MatSetFromOptions()
1728 
1729   Level: beginner
1730 
1731 .seealso: MatCreateMPISBAIJ
1732 M*/
1733 
1734 PETSC_EXTERN PetscErrorCode MatConvert_MPISBAIJ_MPISBSTRM(Mat,MatType,MatReuse,Mat*);
1735 
1736 #undef __FUNCT__
1737 #define __FUNCT__ "MatCreate_MPISBAIJ"
1738 PETSC_EXTERN PetscErrorCode MatCreate_MPISBAIJ(Mat B)
1739 {
1740   Mat_MPISBAIJ   *b;
1741   PetscErrorCode ierr;
1742   PetscBool      flg = PETSC_FALSE;
1743 
1744   PetscFunctionBegin;
1745   ierr    = PetscNewLog(B,&b);CHKERRQ(ierr);
1746   B->data = (void*)b;
1747   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
1748 
1749   B->ops->destroy = MatDestroy_MPISBAIJ;
1750   B->ops->view    = MatView_MPISBAIJ;
1751   B->assembled    = PETSC_FALSE;
1752   B->insertmode   = NOT_SET_VALUES;
1753 
1754   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)B),&b->rank);CHKERRQ(ierr);
1755   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&b->size);CHKERRQ(ierr);
1756 
1757   /* build local table of row and column ownerships */
1758   ierr = PetscMalloc1((b->size+2),&b->rangebs);CHKERRQ(ierr);
1759 
1760   /* build cache for off array entries formed */
1761   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),1,&B->stash);CHKERRQ(ierr);
1762 
1763   b->donotstash  = PETSC_FALSE;
1764   b->colmap      = NULL;
1765   b->garray      = NULL;
1766   b->roworiented = PETSC_TRUE;
1767 
1768   /* stuff used in block assembly */
1769   b->barray = 0;
1770 
1771   /* stuff used for matrix vector multiply */
1772   b->lvec    = 0;
1773   b->Mvctx   = 0;
1774   b->slvec0  = 0;
1775   b->slvec0b = 0;
1776   b->slvec1  = 0;
1777   b->slvec1a = 0;
1778   b->slvec1b = 0;
1779   b->sMvctx  = 0;
1780 
1781   /* stuff for MatGetRow() */
1782   b->rowindices   = 0;
1783   b->rowvalues    = 0;
1784   b->getrowactive = PETSC_FALSE;
1785 
1786   /* hash table stuff */
1787   b->ht           = 0;
1788   b->hd           = 0;
1789   b->ht_size      = 0;
1790   b->ht_flag      = PETSC_FALSE;
1791   b->ht_fact      = 0;
1792   b->ht_total_ct  = 0;
1793   b->ht_insert_ct = 0;
1794 
1795   /* stuff for MatGetSubMatrices_MPIBAIJ_local() */
1796   b->ijonly = PETSC_FALSE;
1797 
1798   b->in_loc = 0;
1799   b->v_loc  = 0;
1800   b->n_loc  = 0;
1801 
1802   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_MPISBAIJ);CHKERRQ(ierr);
1803   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_MPISBAIJ);CHKERRQ(ierr);
1804   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetDiagonalBlock_C",MatGetDiagonalBlock_MPISBAIJ);CHKERRQ(ierr);
1805   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPISBAIJSetPreallocation_C",MatMPISBAIJSetPreallocation_MPISBAIJ);CHKERRQ(ierr);
1806   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPISBAIJSetPreallocationCSR_C",MatMPISBAIJSetPreallocationCSR_MPISBAIJ);CHKERRQ(ierr);
1807   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpisbaij_mpisbstrm_C",MatConvert_MPISBAIJ_MPISBSTRM);CHKERRQ(ierr);
1808 
1809   B->symmetric                  = PETSC_TRUE;
1810   B->structurally_symmetric     = PETSC_TRUE;
1811   B->symmetric_set              = PETSC_TRUE;
1812   B->structurally_symmetric_set = PETSC_TRUE;
1813 
1814   ierr = PetscObjectChangeTypeName((PetscObject)B,MATMPISBAIJ);CHKERRQ(ierr);
1815   ierr      = PetscOptionsBegin(PetscObjectComm((PetscObject)B),NULL,"Options for loading MPISBAIJ matrix 1","Mat");CHKERRQ(ierr);
1816   ierr      = PetscOptionsBool("-mat_use_hash_table","Use hash table to save memory in constructing matrix","MatSetOption",flg,&flg,NULL);CHKERRQ(ierr);
1817   if (flg) {
1818     PetscReal fact = 1.39;
1819     ierr = MatSetOption(B,MAT_USE_HASH_TABLE,PETSC_TRUE);CHKERRQ(ierr);
1820     ierr = PetscOptionsReal("-mat_use_hash_table","Use hash table factor","MatMPIBAIJSetHashTableFactor",fact,&fact,NULL);CHKERRQ(ierr);
1821     if (fact <= 1.0) fact = 1.39;
1822     ierr = MatMPIBAIJSetHashTableFactor(B,fact);CHKERRQ(ierr);
1823     ierr = PetscInfo1(B,"Hash table Factor used %5.2f\n",fact);CHKERRQ(ierr);
1824   }
1825   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1826   PetscFunctionReturn(0);
1827 }
1828 
1829 /*MC
1830    MATSBAIJ - MATSBAIJ = "sbaij" - A matrix type to be used for symmetric block sparse matrices.
1831 
1832    This matrix type is identical to MATSEQSBAIJ when constructed with a single process communicator,
1833    and MATMPISBAIJ otherwise.
1834 
1835    Options Database Keys:
1836 . -mat_type sbaij - sets the matrix type to "sbaij" during a call to MatSetFromOptions()
1837 
1838   Level: beginner
1839 
1840 .seealso: MatCreateMPISBAIJ,MATSEQSBAIJ,MATMPISBAIJ
1841 M*/
1842 
1843 #undef __FUNCT__
1844 #define __FUNCT__ "MatMPISBAIJSetPreallocation"
1845 /*@C
1846    MatMPISBAIJSetPreallocation - For good matrix assembly performance
1847    the user should preallocate the matrix storage by setting the parameters
1848    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
1849    performance can be increased by more than a factor of 50.
1850 
1851    Collective on Mat
1852 
1853    Input Parameters:
1854 +  B - the matrix
1855 .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
1856           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
1857 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
1858            submatrix  (same for all local rows)
1859 .  d_nnz - array containing the number of block nonzeros in the various block rows
1860            in the upper triangular and diagonal part of the in diagonal portion of the local
1861            (possibly different for each block row) or NULL.  If you plan to factor the matrix you must leave room
1862            for the diagonal entry and set a value even if it is zero.
1863 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
1864            submatrix (same for all local rows).
1865 -  o_nnz - array containing the number of nonzeros in the various block rows of the
1866            off-diagonal portion of the local submatrix that is right of the diagonal
1867            (possibly different for each block row) or NULL.
1868 
1869 
1870    Options Database Keys:
1871 .   -mat_no_unroll - uses code that does not unroll the loops in the
1872                      block calculations (much slower)
1873 .   -mat_block_size - size of the blocks to use
1874 
1875    Notes:
1876 
1877    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
1878    than it must be used on all processors that share the object for that argument.
1879 
1880    If the *_nnz parameter is given then the *_nz parameter is ignored
1881 
1882    Storage Information:
1883    For a square global matrix we define each processor's diagonal portion
1884    to be its local rows and the corresponding columns (a square submatrix);
1885    each processor's off-diagonal portion encompasses the remainder of the
1886    local matrix (a rectangular submatrix).
1887 
1888    The user can specify preallocated storage for the diagonal part of
1889    the local submatrix with either d_nz or d_nnz (not both).  Set
1890    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
1891    memory allocation.  Likewise, specify preallocated storage for the
1892    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
1893 
1894    You can call MatGetInfo() to get information on how effective the preallocation was;
1895    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
1896    You can also run with the option -info and look for messages with the string
1897    malloc in them to see if additional memory allocation was needed.
1898 
1899    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
1900    the figure below we depict these three local rows and all columns (0-11).
1901 
1902 .vb
1903            0 1 2 3 4 5 6 7 8 9 10 11
1904           --------------------------
1905    row 3  |. . . d d d o o o o  o  o
1906    row 4  |. . . d d d o o o o  o  o
1907    row 5  |. . . d d d o o o o  o  o
1908           --------------------------
1909 .ve
1910 
1911    Thus, any entries in the d locations are stored in the d (diagonal)
1912    submatrix, and any entries in the o locations are stored in the
1913    o (off-diagonal) submatrix.  Note that the d matrix is stored in
1914    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
1915 
1916    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
1917    plus the diagonal part of the d matrix,
1918    and o_nz should indicate the number of block nonzeros per row in the o matrix
1919 
1920    In general, for PDE problems in which most nonzeros are near the diagonal,
1921    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
1922    or you will get TERRIBLE performance; see the users' manual chapter on
1923    matrices.
1924 
1925    Level: intermediate
1926 
1927 .keywords: matrix, block, aij, compressed row, sparse, parallel
1928 
1929 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateBAIJ(), PetscSplitOwnership()
1930 @*/
1931 PetscErrorCode  MatMPISBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
1932 {
1933   PetscErrorCode ierr;
1934 
1935   PetscFunctionBegin;
1936   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
1937   PetscValidType(B,1);
1938   PetscValidLogicalCollectiveInt(B,bs,2);
1939   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);
1940   PetscFunctionReturn(0);
1941 }
1942 
1943 #undef __FUNCT__
1944 #define __FUNCT__ "MatCreateSBAIJ"
1945 /*@C
1946    MatCreateSBAIJ - Creates a sparse parallel matrix in symmetric block AIJ format
1947    (block compressed row).  For good matrix assembly performance
1948    the user should preallocate the matrix storage by setting the parameters
1949    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
1950    performance can be increased by more than a factor of 50.
1951 
1952    Collective on MPI_Comm
1953 
1954    Input Parameters:
1955 +  comm - MPI communicator
1956 .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
1957           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
1958 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
1959            This value should be the same as the local size used in creating the
1960            y vector for the matrix-vector product y = Ax.
1961 .  n - number of local columns (or PETSC_DECIDE to have calculated if N is given)
1962            This value should be the same as the local size used in creating the
1963            x vector for the matrix-vector product y = Ax.
1964 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
1965 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
1966 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
1967            submatrix  (same for all local rows)
1968 .  d_nnz - array containing the number of block nonzeros in the various block rows
1969            in the upper triangular portion of the in diagonal portion of the local
1970            (possibly different for each block block row) or NULL.
1971            If you plan to factor the matrix you must leave room for the diagonal entry and
1972            set its value even if it is zero.
1973 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
1974            submatrix (same for all local rows).
1975 -  o_nnz - array containing the number of nonzeros in the various block rows of the
1976            off-diagonal portion of the local submatrix (possibly different for
1977            each block row) or NULL.
1978 
1979    Output Parameter:
1980 .  A - the matrix
1981 
1982    Options Database Keys:
1983 .   -mat_no_unroll - uses code that does not unroll the loops in the
1984                      block calculations (much slower)
1985 .   -mat_block_size - size of the blocks to use
1986 .   -mat_mpi - use the parallel matrix data structures even on one processor
1987                (defaults to using SeqBAIJ format on one processor)
1988 
1989    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
1990    MatXXXXSetPreallocation() paradgm instead of this routine directly.
1991    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
1992 
1993    Notes:
1994    The number of rows and columns must be divisible by blocksize.
1995    This matrix type does not support complex Hermitian operation.
1996 
1997    The user MUST specify either the local or global matrix dimensions
1998    (possibly both).
1999 
2000    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
2001    than it must be used on all processors that share the object for that argument.
2002 
2003    If the *_nnz parameter is given then the *_nz parameter is ignored
2004 
2005    Storage Information:
2006    For a square global matrix we define each processor's diagonal portion
2007    to be its local rows and the corresponding columns (a square submatrix);
2008    each processor's off-diagonal portion encompasses the remainder of the
2009    local matrix (a rectangular submatrix).
2010 
2011    The user can specify preallocated storage for the diagonal part of
2012    the local submatrix with either d_nz or d_nnz (not both).  Set
2013    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
2014    memory allocation.  Likewise, specify preallocated storage for the
2015    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
2016 
2017    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
2018    the figure below we depict these three local rows and all columns (0-11).
2019 
2020 .vb
2021            0 1 2 3 4 5 6 7 8 9 10 11
2022           --------------------------
2023    row 3  |. . . d d d o o o o  o  o
2024    row 4  |. . . d d d o o o o  o  o
2025    row 5  |. . . d d d o o o o  o  o
2026           --------------------------
2027 .ve
2028 
2029    Thus, any entries in the d locations are stored in the d (diagonal)
2030    submatrix, and any entries in the o locations are stored in the
2031    o (off-diagonal) submatrix.  Note that the d matrix is stored in
2032    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
2033 
2034    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
2035    plus the diagonal part of the d matrix,
2036    and o_nz should indicate the number of block nonzeros per row in the o matrix.
2037    In general, for PDE problems in which most nonzeros are near the diagonal,
2038    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
2039    or you will get TERRIBLE performance; see the users' manual chapter on
2040    matrices.
2041 
2042    Level: intermediate
2043 
2044 .keywords: matrix, block, aij, compressed row, sparse, parallel
2045 
2046 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateBAIJ()
2047 @*/
2048 
2049 PetscErrorCode  MatCreateSBAIJ(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[],Mat *A)
2050 {
2051   PetscErrorCode ierr;
2052   PetscMPIInt    size;
2053 
2054   PetscFunctionBegin;
2055   ierr = MatCreate(comm,A);CHKERRQ(ierr);
2056   ierr = MatSetSizes(*A,m,n,M,N);CHKERRQ(ierr);
2057   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2058   if (size > 1) {
2059     ierr = MatSetType(*A,MATMPISBAIJ);CHKERRQ(ierr);
2060     ierr = MatMPISBAIJSetPreallocation(*A,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
2061   } else {
2062     ierr = MatSetType(*A,MATSEQSBAIJ);CHKERRQ(ierr);
2063     ierr = MatSeqSBAIJSetPreallocation(*A,bs,d_nz,d_nnz);CHKERRQ(ierr);
2064   }
2065   PetscFunctionReturn(0);
2066 }
2067 
2068 
2069 #undef __FUNCT__
2070 #define __FUNCT__ "MatDuplicate_MPISBAIJ"
2071 static PetscErrorCode MatDuplicate_MPISBAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
2072 {
2073   Mat            mat;
2074   Mat_MPISBAIJ   *a,*oldmat = (Mat_MPISBAIJ*)matin->data;
2075   PetscErrorCode ierr;
2076   PetscInt       len=0,nt,bs=matin->rmap->bs,mbs=oldmat->mbs;
2077   PetscScalar    *array;
2078 
2079   PetscFunctionBegin;
2080   *newmat = 0;
2081 
2082   ierr = MatCreate(PetscObjectComm((PetscObject)matin),&mat);CHKERRQ(ierr);
2083   ierr = MatSetSizes(mat,matin->rmap->n,matin->cmap->n,matin->rmap->N,matin->cmap->N);CHKERRQ(ierr);
2084   ierr = MatSetType(mat,((PetscObject)matin)->type_name);CHKERRQ(ierr);
2085   ierr = PetscMemcpy(mat->ops,matin->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
2086   ierr = PetscLayoutReference(matin->rmap,&mat->rmap);CHKERRQ(ierr);
2087   ierr = PetscLayoutReference(matin->cmap,&mat->cmap);CHKERRQ(ierr);
2088 
2089   mat->factortype   = matin->factortype;
2090   mat->preallocated = PETSC_TRUE;
2091   mat->assembled    = PETSC_TRUE;
2092   mat->insertmode   = NOT_SET_VALUES;
2093 
2094   a      = (Mat_MPISBAIJ*)mat->data;
2095   a->bs2 = oldmat->bs2;
2096   a->mbs = oldmat->mbs;
2097   a->nbs = oldmat->nbs;
2098   a->Mbs = oldmat->Mbs;
2099   a->Nbs = oldmat->Nbs;
2100 
2101 
2102   a->size         = oldmat->size;
2103   a->rank         = oldmat->rank;
2104   a->donotstash   = oldmat->donotstash;
2105   a->roworiented  = oldmat->roworiented;
2106   a->rowindices   = 0;
2107   a->rowvalues    = 0;
2108   a->getrowactive = PETSC_FALSE;
2109   a->barray       = 0;
2110   a->rstartbs     = oldmat->rstartbs;
2111   a->rendbs       = oldmat->rendbs;
2112   a->cstartbs     = oldmat->cstartbs;
2113   a->cendbs       = oldmat->cendbs;
2114 
2115   /* hash table stuff */
2116   a->ht           = 0;
2117   a->hd           = 0;
2118   a->ht_size      = 0;
2119   a->ht_flag      = oldmat->ht_flag;
2120   a->ht_fact      = oldmat->ht_fact;
2121   a->ht_total_ct  = 0;
2122   a->ht_insert_ct = 0;
2123 
2124   ierr = PetscMemcpy(a->rangebs,oldmat->rangebs,(a->size+2)*sizeof(PetscInt));CHKERRQ(ierr);
2125   if (oldmat->colmap) {
2126 #if defined(PETSC_USE_CTABLE)
2127     ierr = PetscTableCreateCopy(oldmat->colmap,&a->colmap);CHKERRQ(ierr);
2128 #else
2129     ierr = PetscMalloc1((a->Nbs),&a->colmap);CHKERRQ(ierr);
2130     ierr = PetscLogObjectMemory((PetscObject)mat,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2131     ierr = PetscMemcpy(a->colmap,oldmat->colmap,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2132 #endif
2133   } else a->colmap = 0;
2134 
2135   if (oldmat->garray && (len = ((Mat_SeqBAIJ*)(oldmat->B->data))->nbs)) {
2136     ierr = PetscMalloc1(len,&a->garray);CHKERRQ(ierr);
2137     ierr = PetscLogObjectMemory((PetscObject)mat,len*sizeof(PetscInt));CHKERRQ(ierr);
2138     ierr = PetscMemcpy(a->garray,oldmat->garray,len*sizeof(PetscInt));CHKERRQ(ierr);
2139   } else a->garray = 0;
2140 
2141   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)matin),matin->rmap->bs,&mat->bstash);CHKERRQ(ierr);
2142   ierr = VecDuplicate(oldmat->lvec,&a->lvec);CHKERRQ(ierr);
2143   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->lvec);CHKERRQ(ierr);
2144   ierr = VecScatterCopy(oldmat->Mvctx,&a->Mvctx);CHKERRQ(ierr);
2145   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->Mvctx);CHKERRQ(ierr);
2146 
2147   ierr =  VecDuplicate(oldmat->slvec0,&a->slvec0);CHKERRQ(ierr);
2148   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0);CHKERRQ(ierr);
2149   ierr =  VecDuplicate(oldmat->slvec1,&a->slvec1);CHKERRQ(ierr);
2150   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1);CHKERRQ(ierr);
2151 
2152   ierr = VecGetLocalSize(a->slvec1,&nt);CHKERRQ(ierr);
2153   ierr = VecGetArray(a->slvec1,&array);CHKERRQ(ierr);
2154   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,bs*mbs,array,&a->slvec1a);CHKERRQ(ierr);
2155   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nt-bs*mbs,array+bs*mbs,&a->slvec1b);CHKERRQ(ierr);
2156   ierr = VecRestoreArray(a->slvec1,&array);CHKERRQ(ierr);
2157   ierr = VecGetArray(a->slvec0,&array);CHKERRQ(ierr);
2158   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nt-bs*mbs,array+bs*mbs,&a->slvec0b);CHKERRQ(ierr);
2159   ierr = VecRestoreArray(a->slvec0,&array);CHKERRQ(ierr);
2160   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0);CHKERRQ(ierr);
2161   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1);CHKERRQ(ierr);
2162   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0b);CHKERRQ(ierr);
2163   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1a);CHKERRQ(ierr);
2164   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1b);CHKERRQ(ierr);
2165 
2166   /* ierr =  VecScatterCopy(oldmat->sMvctx,&a->sMvctx); - not written yet, replaced by the lazy trick: */
2167   ierr      = PetscObjectReference((PetscObject)oldmat->sMvctx);CHKERRQ(ierr);
2168   a->sMvctx = oldmat->sMvctx;
2169   ierr      = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->sMvctx);CHKERRQ(ierr);
2170 
2171   ierr    =  MatDuplicate(oldmat->A,cpvalues,&a->A);CHKERRQ(ierr);
2172   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->A);CHKERRQ(ierr);
2173   ierr    =  MatDuplicate(oldmat->B,cpvalues,&a->B);CHKERRQ(ierr);
2174   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->B);CHKERRQ(ierr);
2175   ierr    = PetscFunctionListDuplicate(((PetscObject)matin)->qlist,&((PetscObject)mat)->qlist);CHKERRQ(ierr);
2176   *newmat = mat;
2177   PetscFunctionReturn(0);
2178 }
2179 
2180 #undef __FUNCT__
2181 #define __FUNCT__ "MatLoad_MPISBAIJ"
2182 PetscErrorCode MatLoad_MPISBAIJ(Mat newmat,PetscViewer viewer)
2183 {
2184   PetscErrorCode ierr;
2185   PetscInt       i,nz,j,rstart,rend;
2186   PetscScalar    *vals,*buf;
2187   MPI_Comm       comm;
2188   MPI_Status     status;
2189   PetscMPIInt    rank,size,tag = ((PetscObject)viewer)->tag,*sndcounts = 0,*browners,maxnz,*rowners,mmbs;
2190   PetscInt       header[4],*rowlengths = 0,M,N,m,*cols,*locrowlens;
2191   PetscInt       *procsnz = 0,jj,*mycols,*ibuf;
2192   PetscInt       bs       =1,Mbs,mbs,extra_rows;
2193   PetscInt       *dlens,*odlens,*mask,*masked1,*masked2,rowcount,odcount;
2194   PetscInt       dcount,kmax,k,nzcount,tmp,sizesset=1,grows,gcols;
2195   int            fd;
2196 
2197   PetscFunctionBegin;
2198   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
2199   ierr = PetscOptionsBegin(comm,NULL,"Options for loading MPISBAIJ matrix 2","Mat");CHKERRQ(ierr);
2200   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
2201   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2202 
2203   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2204   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
2205   if (!rank) {
2206     ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
2207     ierr = PetscBinaryRead(fd,(char*)header,4,PETSC_INT);CHKERRQ(ierr);
2208     if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
2209     if (header[3] < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as MPISBAIJ");
2210   }
2211 
2212   if (newmat->rmap->n < 0 && newmat->rmap->N < 0 && newmat->cmap->n < 0 && newmat->cmap->N < 0) sizesset = 0;
2213 
2214   ierr = MPI_Bcast(header+1,3,MPIU_INT,0,comm);CHKERRQ(ierr);
2215   M    = header[1];
2216   N    = header[2];
2217 
2218   /* If global rows/cols are set to PETSC_DECIDE, set it to the sizes given in the file */
2219   if (sizesset && newmat->rmap->N < 0) newmat->rmap->N = M;
2220   if (sizesset && newmat->cmap->N < 0) newmat->cmap->N = N;
2221 
2222   /* If global sizes are set, check if they are consistent with that given in the file */
2223   if (sizesset) {
2224     ierr = MatGetSize(newmat,&grows,&gcols);CHKERRQ(ierr);
2225   }
2226   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);
2227   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);
2228 
2229   if (M != N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Can only do square matrices");
2230 
2231   /*
2232      This code adds extra rows to make sure the number of rows is
2233      divisible by the blocksize
2234   */
2235   Mbs        = M/bs;
2236   extra_rows = bs - M + bs*(Mbs);
2237   if (extra_rows == bs) extra_rows = 0;
2238   else                  Mbs++;
2239   if (extra_rows &&!rank) {
2240     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
2241   }
2242 
2243   /* determine ownership of all rows */
2244   if (newmat->rmap->n < 0) { /* PETSC_DECIDE */
2245     mbs = Mbs/size + ((Mbs % size) > rank);
2246     m   = mbs*bs;
2247   } else { /* User Set */
2248     m   = newmat->rmap->n;
2249     mbs = m/bs;
2250   }
2251   ierr       = PetscMalloc2(size+1,&rowners,size+1,&browners);CHKERRQ(ierr);
2252   ierr       = PetscMPIIntCast(mbs,&mmbs);CHKERRQ(ierr);
2253   ierr       = MPI_Allgather(&mmbs,1,MPI_INT,rowners+1,1,MPI_INT,comm);CHKERRQ(ierr);
2254   rowners[0] = 0;
2255   for (i=2; i<=size; i++) rowners[i] += rowners[i-1];
2256   for (i=0; i<=size; i++) browners[i] = rowners[i]*bs;
2257   rstart = rowners[rank];
2258   rend   = rowners[rank+1];
2259 
2260   /* distribute row lengths to all processors */
2261   ierr = PetscMalloc1((rend-rstart)*bs,&locrowlens);CHKERRQ(ierr);
2262   if (!rank) {
2263     ierr = PetscMalloc1((M+extra_rows),&rowlengths);CHKERRQ(ierr);
2264     ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
2265     for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
2266     ierr = PetscMalloc1(size,&sndcounts);CHKERRQ(ierr);
2267     for (i=0; i<size; i++) sndcounts[i] = browners[i+1] - browners[i];
2268     ierr = MPI_Scatterv(rowlengths,sndcounts,browners,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2269     ierr = PetscFree(sndcounts);CHKERRQ(ierr);
2270   } else {
2271     ierr = MPI_Scatterv(0,0,0,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2272   }
2273 
2274   if (!rank) {   /* procs[0] */
2275     /* calculate the number of nonzeros on each processor */
2276     ierr = PetscMalloc1(size,&procsnz);CHKERRQ(ierr);
2277     ierr = PetscMemzero(procsnz,size*sizeof(PetscInt));CHKERRQ(ierr);
2278     for (i=0; i<size; i++) {
2279       for (j=rowners[i]*bs; j< rowners[i+1]*bs; j++) {
2280         procsnz[i] += rowlengths[j];
2281       }
2282     }
2283     ierr = PetscFree(rowlengths);CHKERRQ(ierr);
2284 
2285     /* determine max buffer needed and allocate it */
2286     maxnz = 0;
2287     for (i=0; i<size; i++) {
2288       maxnz = PetscMax(maxnz,procsnz[i]);
2289     }
2290     ierr = PetscMalloc1(maxnz,&cols);CHKERRQ(ierr);
2291 
2292     /* read in my part of the matrix column indices  */
2293     nz     = procsnz[0];
2294     ierr   = PetscMalloc1(nz,&ibuf);CHKERRQ(ierr);
2295     mycols = ibuf;
2296     if (size == 1) nz -= extra_rows;
2297     ierr = PetscBinaryRead(fd,mycols,nz,PETSC_INT);CHKERRQ(ierr);
2298     if (size == 1) {
2299       for (i=0; i< extra_rows; i++) mycols[nz+i] = M+i;
2300     }
2301 
2302     /* read in every ones (except the last) and ship off */
2303     for (i=1; i<size-1; i++) {
2304       nz   = procsnz[i];
2305       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2306       ierr = MPI_Send(cols,nz,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
2307     }
2308     /* read in the stuff for the last proc */
2309     if (size != 1) {
2310       nz   = procsnz[size-1] - extra_rows;  /* the extra rows are not on the disk */
2311       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2312       for (i=0; i<extra_rows; i++) cols[nz+i] = M+i;
2313       ierr = MPI_Send(cols,nz+extra_rows,MPIU_INT,size-1,tag,comm);CHKERRQ(ierr);
2314     }
2315     ierr = PetscFree(cols);CHKERRQ(ierr);
2316   } else {  /* procs[i], i>0 */
2317     /* determine buffer space needed for message */
2318     nz = 0;
2319     for (i=0; i<m; i++) nz += locrowlens[i];
2320     ierr   = PetscMalloc1(nz,&ibuf);CHKERRQ(ierr);
2321     mycols = ibuf;
2322     /* receive message of column indices*/
2323     ierr = MPI_Recv(mycols,nz,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
2324     ierr = MPI_Get_count(&status,MPIU_INT,&maxnz);CHKERRQ(ierr);
2325     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2326   }
2327 
2328   /* loop over local rows, determining number of off diagonal entries */
2329   ierr     = PetscMalloc2(rend-rstart,&dlens,rend-rstart,&odlens);CHKERRQ(ierr);
2330   ierr     = PetscMalloc3(Mbs,&mask,Mbs,&masked1,Mbs,&masked2);CHKERRQ(ierr);
2331   ierr     = PetscMemzero(mask,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2332   ierr     = PetscMemzero(masked1,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2333   ierr     = PetscMemzero(masked2,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2334   rowcount = 0;
2335   nzcount  = 0;
2336   for (i=0; i<mbs; i++) {
2337     dcount  = 0;
2338     odcount = 0;
2339     for (j=0; j<bs; j++) {
2340       kmax = locrowlens[rowcount];
2341       for (k=0; k<kmax; k++) {
2342         tmp = mycols[nzcount++]/bs; /* block col. index */
2343         if (!mask[tmp]) {
2344           mask[tmp] = 1;
2345           if (tmp < rstart || tmp >= rend) masked2[odcount++] = tmp; /* entry in off-diag portion */
2346           else masked1[dcount++] = tmp; /* entry in diag portion */
2347         }
2348       }
2349       rowcount++;
2350     }
2351 
2352     dlens[i]  = dcount;  /* d_nzz[i] */
2353     odlens[i] = odcount; /* o_nzz[i] */
2354 
2355     /* zero out the mask elements we set */
2356     for (j=0; j<dcount; j++) mask[masked1[j]] = 0;
2357     for (j=0; j<odcount; j++) mask[masked2[j]] = 0;
2358   }
2359   if (!sizesset) {
2360     ierr = MatSetSizes(newmat,m,m,M+extra_rows,N+extra_rows);CHKERRQ(ierr);
2361   }
2362   ierr = MatMPISBAIJSetPreallocation(newmat,bs,0,dlens,0,odlens);CHKERRQ(ierr);
2363   ierr = MatSetOption(newmat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
2364 
2365   if (!rank) {
2366     ierr = PetscMalloc1(maxnz,&buf);CHKERRQ(ierr);
2367     /* read in my part of the matrix numerical values  */
2368     nz     = procsnz[0];
2369     vals   = buf;
2370     mycols = ibuf;
2371     if (size == 1) nz -= extra_rows;
2372     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2373     if (size == 1) {
2374       for (i=0; i< extra_rows; i++) vals[nz+i] = 1.0;
2375     }
2376 
2377     /* insert into matrix */
2378     jj = rstart*bs;
2379     for (i=0; i<m; i++) {
2380       ierr    = MatSetValues(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2381       mycols += locrowlens[i];
2382       vals   += locrowlens[i];
2383       jj++;
2384     }
2385 
2386     /* read in other processors (except the last one) and ship out */
2387     for (i=1; i<size-1; i++) {
2388       nz   = procsnz[i];
2389       vals = buf;
2390       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2391       ierr = MPI_Send(vals,nz,MPIU_SCALAR,i,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
2392     }
2393     /* the last proc */
2394     if (size != 1) {
2395       nz   = procsnz[i] - extra_rows;
2396       vals = buf;
2397       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2398       for (i=0; i<extra_rows; i++) vals[nz+i] = 1.0;
2399       ierr = MPI_Send(vals,nz+extra_rows,MPIU_SCALAR,size-1,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
2400     }
2401     ierr = PetscFree(procsnz);CHKERRQ(ierr);
2402 
2403   } else {
2404     /* receive numeric values */
2405     ierr = PetscMalloc1(nz,&buf);CHKERRQ(ierr);
2406 
2407     /* receive message of values*/
2408     vals   = buf;
2409     mycols = ibuf;
2410     ierr   = MPI_Recv(vals,nz,MPIU_SCALAR,0,((PetscObject)newmat)->tag,comm,&status);CHKERRQ(ierr);
2411     ierr   = MPI_Get_count(&status,MPIU_SCALAR,&maxnz);CHKERRQ(ierr);
2412     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2413 
2414     /* insert into matrix */
2415     jj = rstart*bs;
2416     for (i=0; i<m; i++) {
2417       ierr    = MatSetValues_MPISBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2418       mycols += locrowlens[i];
2419       vals   += locrowlens[i];
2420       jj++;
2421     }
2422   }
2423 
2424   ierr = PetscFree(locrowlens);CHKERRQ(ierr);
2425   ierr = PetscFree(buf);CHKERRQ(ierr);
2426   ierr = PetscFree(ibuf);CHKERRQ(ierr);
2427   ierr = PetscFree2(rowners,browners);CHKERRQ(ierr);
2428   ierr = PetscFree2(dlens,odlens);CHKERRQ(ierr);
2429   ierr = PetscFree3(mask,masked1,masked2);CHKERRQ(ierr);
2430   ierr = MatAssemblyBegin(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2431   ierr = MatAssemblyEnd(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2432   PetscFunctionReturn(0);
2433 }
2434 
2435 #undef __FUNCT__
2436 #define __FUNCT__ "MatMPISBAIJSetHashTableFactor"
2437 /*XXXXX@
2438    MatMPISBAIJSetHashTableFactor - Sets the factor required to compute the size of the HashTable.
2439 
2440    Input Parameters:
2441 .  mat  - the matrix
2442 .  fact - factor
2443 
2444    Not Collective on Mat, each process can have a different hash factor
2445 
2446    Level: advanced
2447 
2448   Notes:
2449    This can also be set by the command line option: -mat_use_hash_table fact
2450 
2451 .keywords: matrix, hashtable, factor, HT
2452 
2453 .seealso: MatSetOption()
2454 @XXXXX*/
2455 
2456 
2457 #undef __FUNCT__
2458 #define __FUNCT__ "MatGetRowMaxAbs_MPISBAIJ"
2459 PetscErrorCode MatGetRowMaxAbs_MPISBAIJ(Mat A,Vec v,PetscInt idx[])
2460 {
2461   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
2462   Mat_SeqBAIJ    *b = (Mat_SeqBAIJ*)(a->B)->data;
2463   PetscReal      atmp;
2464   PetscReal      *work,*svalues,*rvalues;
2465   PetscErrorCode ierr;
2466   PetscInt       i,bs,mbs,*bi,*bj,brow,j,ncols,krow,kcol,col,row,Mbs,bcol;
2467   PetscMPIInt    rank,size;
2468   PetscInt       *rowners_bs,dest,count,source;
2469   PetscScalar    *va;
2470   MatScalar      *ba;
2471   MPI_Status     stat;
2472 
2473   PetscFunctionBegin;
2474   if (idx) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Send email to petsc-maint@mcs.anl.gov");
2475   ierr = MatGetRowMaxAbs(a->A,v,NULL);CHKERRQ(ierr);
2476   ierr = VecGetArray(v,&va);CHKERRQ(ierr);
2477 
2478   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&size);CHKERRQ(ierr);
2479   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A),&rank);CHKERRQ(ierr);
2480 
2481   bs  = A->rmap->bs;
2482   mbs = a->mbs;
2483   Mbs = a->Mbs;
2484   ba  = b->a;
2485   bi  = b->i;
2486   bj  = b->j;
2487 
2488   /* find ownerships */
2489   rowners_bs = A->rmap->range;
2490 
2491   /* each proc creates an array to be distributed */
2492   ierr = PetscMalloc1(bs*Mbs,&work);CHKERRQ(ierr);
2493   ierr = PetscMemzero(work,bs*Mbs*sizeof(PetscReal));CHKERRQ(ierr);
2494 
2495   /* row_max for B */
2496   if (rank != size-1) {
2497     for (i=0; i<mbs; i++) {
2498       ncols = bi[1] - bi[0]; bi++;
2499       brow  = bs*i;
2500       for (j=0; j<ncols; j++) {
2501         bcol = bs*(*bj);
2502         for (kcol=0; kcol<bs; kcol++) {
2503           col  = bcol + kcol;                /* local col index */
2504           col += rowners_bs[rank+1];      /* global col index */
2505           for (krow=0; krow<bs; krow++) {
2506             atmp = PetscAbsScalar(*ba); ba++;
2507             row  = brow + krow;   /* local row index */
2508             if (PetscRealPart(va[row]) < atmp) va[row] = atmp;
2509             if (work[col] < atmp) work[col] = atmp;
2510           }
2511         }
2512         bj++;
2513       }
2514     }
2515 
2516     /* send values to its owners */
2517     for (dest=rank+1; dest<size; dest++) {
2518       svalues = work + rowners_bs[dest];
2519       count   = rowners_bs[dest+1]-rowners_bs[dest];
2520       ierr    = MPI_Send(svalues,count,MPIU_REAL,dest,rank,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2521     }
2522   }
2523 
2524   /* receive values */
2525   if (rank) {
2526     rvalues = work;
2527     count   = rowners_bs[rank+1]-rowners_bs[rank];
2528     for (source=0; source<rank; source++) {
2529       ierr = MPI_Recv(rvalues,count,MPIU_REAL,MPI_ANY_SOURCE,MPI_ANY_TAG,PetscObjectComm((PetscObject)A),&stat);CHKERRQ(ierr);
2530       /* process values */
2531       for (i=0; i<count; i++) {
2532         if (PetscRealPart(va[i]) < rvalues[i]) va[i] = rvalues[i];
2533       }
2534     }
2535   }
2536 
2537   ierr = VecRestoreArray(v,&va);CHKERRQ(ierr);
2538   ierr = PetscFree(work);CHKERRQ(ierr);
2539   PetscFunctionReturn(0);
2540 }
2541 
2542 #undef __FUNCT__
2543 #define __FUNCT__ "MatSOR_MPISBAIJ"
2544 PetscErrorCode MatSOR_MPISBAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2545 {
2546   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)matin->data;
2547   PetscErrorCode    ierr;
2548   PetscInt          mbs=mat->mbs,bs=matin->rmap->bs;
2549   PetscScalar       *x,*ptr,*from;
2550   Vec               bb1;
2551   const PetscScalar *b;
2552 
2553   PetscFunctionBegin;
2554   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);
2555   if (bs > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2556 
2557   if (flag == SOR_APPLY_UPPER) {
2558     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2559     PetscFunctionReturn(0);
2560   }
2561 
2562   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
2563     if (flag & SOR_ZERO_INITIAL_GUESS) {
2564       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2565       its--;
2566     }
2567 
2568     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2569     while (its--) {
2570 
2571       /* lower triangular part: slvec0b = - B^T*xx */
2572       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2573 
2574       /* copy xx into slvec0a */
2575       ierr = VecGetArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2576       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2577       ierr = PetscMemcpy(ptr,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2578       ierr = VecRestoreArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2579 
2580       ierr = VecScale(mat->slvec0,-1.0);CHKERRQ(ierr);
2581 
2582       /* copy bb into slvec1a */
2583       ierr = VecGetArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2584       ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
2585       ierr = PetscMemcpy(ptr,b,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2586       ierr = VecRestoreArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2587 
2588       /* set slvec1b = 0 */
2589       ierr = VecSet(mat->slvec1b,0.0);CHKERRQ(ierr);
2590 
2591       ierr = VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2592       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2593       ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
2594       ierr = VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2595 
2596       /* upper triangular part: bb1 = bb1 - B*x */
2597       ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,bb1);CHKERRQ(ierr);
2598 
2599       /* local diagonal sweep */
2600       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
2601     }
2602     ierr = VecDestroy(&bb1);CHKERRQ(ierr);
2603   } else if ((flag & SOR_LOCAL_FORWARD_SWEEP) && (its == 1) && (flag & SOR_ZERO_INITIAL_GUESS)) {
2604     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2605   } else if ((flag & SOR_LOCAL_BACKWARD_SWEEP) && (its == 1) && (flag & SOR_ZERO_INITIAL_GUESS)) {
2606     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2607   } else if (flag & SOR_EISENSTAT) {
2608     Vec               xx1;
2609     PetscBool         hasop;
2610     const PetscScalar *diag;
2611     PetscScalar       *sl,scale = (omega - 2.0)/omega;
2612     PetscInt          i,n;
2613 
2614     if (!mat->xx1) {
2615       ierr = VecDuplicate(bb,&mat->xx1);CHKERRQ(ierr);
2616       ierr = VecDuplicate(bb,&mat->bb1);CHKERRQ(ierr);
2617     }
2618     xx1 = mat->xx1;
2619     bb1 = mat->bb1;
2620 
2621     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,(MatSORType)(SOR_ZERO_INITIAL_GUESS | SOR_LOCAL_BACKWARD_SWEEP),fshift,lits,1,xx);CHKERRQ(ierr);
2622 
2623     if (!mat->diag) {
2624       /* this is wrong for same matrix with new nonzero values */
2625       ierr = MatCreateVecs(matin,&mat->diag,NULL);CHKERRQ(ierr);
2626       ierr = MatGetDiagonal(matin,mat->diag);CHKERRQ(ierr);
2627     }
2628     ierr = MatHasOperation(matin,MATOP_MULT_DIAGONAL_BLOCK,&hasop);CHKERRQ(ierr);
2629 
2630     if (hasop) {
2631       ierr = MatMultDiagonalBlock(matin,xx,bb1);CHKERRQ(ierr);
2632       ierr = VecAYPX(mat->slvec1a,scale,bb);CHKERRQ(ierr);
2633     } else {
2634       /*
2635           These two lines are replaced by code that may be a bit faster for a good compiler
2636       ierr = VecPointwiseMult(mat->slvec1a,mat->diag,xx);CHKERRQ(ierr);
2637       ierr = VecAYPX(mat->slvec1a,scale,bb);CHKERRQ(ierr);
2638       */
2639       ierr = VecGetArray(mat->slvec1a,&sl);CHKERRQ(ierr);
2640       ierr = VecGetArrayRead(mat->diag,&diag);CHKERRQ(ierr);
2641       ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
2642       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2643       ierr = VecGetLocalSize(xx,&n);CHKERRQ(ierr);
2644       if (omega == 1.0) {
2645         for (i=0; i<n; i++) sl[i] = b[i] - diag[i]*x[i];
2646         ierr = PetscLogFlops(2.0*n);CHKERRQ(ierr);
2647       } else {
2648         for (i=0; i<n; i++) sl[i] = b[i] + scale*diag[i]*x[i];
2649         ierr = PetscLogFlops(3.0*n);CHKERRQ(ierr);
2650       }
2651       ierr = VecRestoreArray(mat->slvec1a,&sl);CHKERRQ(ierr);
2652       ierr = VecRestoreArrayRead(mat->diag,&diag);CHKERRQ(ierr);
2653       ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
2654       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2655     }
2656 
2657     /* multiply off-diagonal portion of matrix */
2658     ierr = VecSet(mat->slvec1b,0.0);CHKERRQ(ierr);
2659     ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2660     ierr = VecGetArray(mat->slvec0,&from);CHKERRQ(ierr);
2661     ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2662     ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2663     ierr = VecRestoreArray(mat->slvec0,&from);CHKERRQ(ierr);
2664     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2665     ierr = VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2666     ierr = VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2667     ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,mat->slvec1a);CHKERRQ(ierr);
2668 
2669     /* local sweep */
2670     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);
2671     ierr = VecAXPY(xx,1.0,xx1);CHKERRQ(ierr);
2672   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
2673   PetscFunctionReturn(0);
2674 }
2675 
2676 #undef __FUNCT__
2677 #define __FUNCT__ "MatSOR_MPISBAIJ_2comm"
2678 PetscErrorCode MatSOR_MPISBAIJ_2comm(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2679 {
2680   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
2681   PetscErrorCode ierr;
2682   Vec            lvec1,bb1;
2683 
2684   PetscFunctionBegin;
2685   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);
2686   if (matin->rmap->bs > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2687 
2688   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
2689     if (flag & SOR_ZERO_INITIAL_GUESS) {
2690       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2691       its--;
2692     }
2693 
2694     ierr = VecDuplicate(mat->lvec,&lvec1);CHKERRQ(ierr);
2695     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2696     while (its--) {
2697       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2698 
2699       /* lower diagonal part: bb1 = bb - B^T*xx */
2700       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,lvec1);CHKERRQ(ierr);
2701       ierr = VecScale(lvec1,-1.0);CHKERRQ(ierr);
2702 
2703       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2704       ierr = VecCopy(bb,bb1);CHKERRQ(ierr);
2705       ierr = VecScatterBegin(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2706 
2707       /* upper diagonal part: bb1 = bb1 - B*x */
2708       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2709       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb1,bb1);CHKERRQ(ierr);
2710 
2711       ierr = VecScatterEnd(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2712 
2713       /* diagonal sweep */
2714       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
2715     }
2716     ierr = VecDestroy(&lvec1);CHKERRQ(ierr);
2717     ierr = VecDestroy(&bb1);CHKERRQ(ierr);
2718   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
2719   PetscFunctionReturn(0);
2720 }
2721 
2722 #undef __FUNCT__
2723 #define __FUNCT__ "MatCreateMPISBAIJWithArrays"
2724 /*@
2725      MatCreateMPISBAIJWithArrays - creates a MPI SBAIJ matrix using arrays that contain in standard
2726          CSR format the local rows.
2727 
2728    Collective on MPI_Comm
2729 
2730    Input Parameters:
2731 +  comm - MPI communicator
2732 .  bs - the block size, only a block size of 1 is supported
2733 .  m - number of local rows (Cannot be PETSC_DECIDE)
2734 .  n - This value should be the same as the local size used in creating the
2735        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
2736        calculated if N is given) For square matrices n is almost always m.
2737 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
2738 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
2739 .   i - row indices
2740 .   j - column indices
2741 -   a - matrix values
2742 
2743    Output Parameter:
2744 .   mat - the matrix
2745 
2746    Level: intermediate
2747 
2748    Notes:
2749        The i, j, and a arrays ARE copied by this routine into the internal format used by PETSc;
2750      thus you CANNOT change the matrix entries by changing the values of a[] after you have
2751      called this routine. Use MatCreateMPIAIJWithSplitArrays() to avoid needing to copy the arrays.
2752 
2753        The i and j indices are 0 based, and i indices are indices corresponding to the local j array.
2754 
2755 .keywords: matrix, aij, compressed row, sparse, parallel
2756 
2757 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
2758           MPIAIJ, MatCreateAIJ(), MatCreateMPIAIJWithSplitArrays()
2759 @*/
2760 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)
2761 {
2762   PetscErrorCode ierr;
2763 
2764 
2765   PetscFunctionBegin;
2766   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
2767   if (m < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"local number of rows (m) cannot be PETSC_DECIDE, or negative");
2768   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
2769   ierr = MatSetSizes(*mat,m,n,M,N);CHKERRQ(ierr);
2770   ierr = MatSetType(*mat,MATMPISBAIJ);CHKERRQ(ierr);
2771   ierr = MatMPISBAIJSetPreallocationCSR(*mat,bs,i,j,a);CHKERRQ(ierr);
2772   PetscFunctionReturn(0);
2773 }
2774 
2775 
2776 #undef __FUNCT__
2777 #define __FUNCT__ "MatMPISBAIJSetPreallocationCSR"
2778 /*@C
2779    MatMPISBAIJSetPreallocationCSR - Allocates memory for a sparse parallel matrix in BAIJ format
2780    (the default parallel PETSc format).
2781 
2782    Collective on MPI_Comm
2783 
2784    Input Parameters:
2785 +  B - the matrix
2786 .  bs - the block size
2787 .  i - the indices into j for the start of each local row (starts with zero)
2788 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
2789 -  v - optional values in the matrix
2790 
2791    Level: developer
2792 
2793 .keywords: matrix, aij, compressed row, sparse, parallel
2794 
2795 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIBAIJSetPreallocation(), MatCreateAIJ(), MPIAIJ
2796 @*/
2797 PetscErrorCode  MatMPISBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
2798 {
2799   PetscErrorCode ierr;
2800 
2801   PetscFunctionBegin;
2802   ierr = PetscTryMethod(B,"MatMPISBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));CHKERRQ(ierr);
2803   PetscFunctionReturn(0);
2804 }
2805 
2806 #undef __FUNCT__
2807 #define __FUNCT__ "MatCreateMPIMatConcatenateSeqMat_MPISBAIJ"
2808 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_MPISBAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
2809 {
2810   PetscErrorCode ierr;
2811   PetscInt       m,N,i,rstart,nnz,Ii,bs,cbs;
2812   PetscInt       *indx;
2813   PetscScalar    *values;
2814 
2815   PetscFunctionBegin;
2816   ierr = MatGetSize(inmat,&m,&N);CHKERRQ(ierr);
2817   if (scall == MAT_INITIAL_MATRIX) { /* symbolic phase */
2818     Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)inmat->data;
2819     PetscInt       *dnz,*onz,sum,bs,cbs,mbs,Nbs;
2820     PetscInt       *bindx,rmax=a->rmax,j;
2821 
2822     ierr = MatGetBlockSizes(inmat,&bs,&cbs);CHKERRQ(ierr);
2823     mbs = m/bs; Nbs = N/cbs;
2824     if (n == PETSC_DECIDE) {
2825       ierr = PetscSplitOwnership(comm,&n,&Nbs);CHKERRQ(ierr);
2826     }
2827     /* Check sum(n) = Nbs */
2828     ierr = MPI_Allreduce(&n,&sum,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
2829     if (sum != Nbs) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Sum of local columns != global columns %d",Nbs);
2830 
2831     ierr    = MPI_Scan(&mbs, &rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
2832     rstart -= mbs;
2833 
2834     ierr = PetscMalloc1(rmax,&bindx);CHKERRQ(ierr);
2835     ierr = MatPreallocateInitialize(comm,mbs,n,dnz,onz);CHKERRQ(ierr);
2836     ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
2837     for (i=0; i<mbs; i++) {
2838       ierr = MatGetRow_SeqSBAIJ(inmat,i*bs,&nnz,&indx,NULL);CHKERRQ(ierr); /* non-blocked nnz and indx */
2839       nnz = nnz/bs;
2840       for (j=0; j<nnz; j++) bindx[j] = indx[j*bs]/bs;
2841       ierr = MatPreallocateSet(i+rstart,nnz,bindx,dnz,onz);CHKERRQ(ierr);
2842       ierr = MatRestoreRow_SeqSBAIJ(inmat,i*bs,&nnz,&indx,NULL);CHKERRQ(ierr);
2843     }
2844     ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_FALSE);CHKERRQ(ierr);
2845     ierr = PetscFree(bindx);CHKERRQ(ierr);
2846 
2847     ierr = MatCreate(comm,outmat);CHKERRQ(ierr);
2848     ierr = MatSetSizes(*outmat,m,n*bs,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2849     ierr = MatSetBlockSizes(*outmat,bs,cbs);CHKERRQ(ierr);
2850     ierr = MatSetType(*outmat,MATMPISBAIJ);CHKERRQ(ierr);
2851     ierr = MatMPISBAIJSetPreallocation(*outmat,bs,0,dnz,0,onz);CHKERRQ(ierr);
2852     ierr = MatPreallocateFinalize(dnz,onz);CHKERRQ(ierr);
2853   }
2854 
2855   /* numeric phase */
2856   ierr = MatGetBlockSizes(inmat,&bs,&cbs);CHKERRQ(ierr);
2857   ierr = MatGetOwnershipRange(*outmat,&rstart,NULL);CHKERRQ(ierr);
2858 
2859   ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
2860   for (i=0; i<m; i++) {
2861     ierr = MatGetRow_SeqSBAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
2862     Ii   = i + rstart;
2863     ierr = MatSetValues(*outmat,1,&Ii,nnz,indx,values,INSERT_VALUES);CHKERRQ(ierr);
2864     ierr = MatRestoreRow_SeqSBAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
2865   }
2866   ierr = MatSetOption(inmat,MAT_GETROW_UPPERTRIANGULAR,PETSC_FALSE);CHKERRQ(ierr);
2867   ierr = MatAssemblyBegin(*outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2868   ierr = MatAssemblyEnd(*outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2869   PetscFunctionReturn(0);
2870 }
2871