xref: /petsc/src/mat/impls/sbaij/mpi/mpisbaij.c (revision 2d9aa51bd4e54bdb7dc3042b9d4a676eba5efc58)
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   for (i=0; i<n; i++) {
1434     ierr = ISEqual(irow[i],icol[i],&flg);CHKERRQ(ierr);
1435     if (!flg) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Can only get symmetric submatrix for MPISBAIJ matrices");
1436   }
1437   ierr = MatGetSubMatrices_MPIBAIJ(A,n,irow,icol,scall,B);CHKERRQ(ierr);
1438   PetscFunctionReturn(0);
1439 }
1440 
1441 
1442 /* -------------------------------------------------------------------*/
1443 static struct _MatOps MatOps_Values = {MatSetValues_MPISBAIJ,
1444                                        MatGetRow_MPISBAIJ,
1445                                        MatRestoreRow_MPISBAIJ,
1446                                        MatMult_MPISBAIJ,
1447                                /*  4*/ MatMultAdd_MPISBAIJ,
1448                                        MatMult_MPISBAIJ,       /* transpose versions are same as non-transpose */
1449                                        MatMultAdd_MPISBAIJ,
1450                                        0,
1451                                        0,
1452                                        0,
1453                                /* 10*/ 0,
1454                                        0,
1455                                        0,
1456                                        MatSOR_MPISBAIJ,
1457                                        MatTranspose_MPISBAIJ,
1458                                /* 15*/ MatGetInfo_MPISBAIJ,
1459                                        MatEqual_MPISBAIJ,
1460                                        MatGetDiagonal_MPISBAIJ,
1461                                        MatDiagonalScale_MPISBAIJ,
1462                                        MatNorm_MPISBAIJ,
1463                                /* 20*/ MatAssemblyBegin_MPISBAIJ,
1464                                        MatAssemblyEnd_MPISBAIJ,
1465                                        MatSetOption_MPISBAIJ,
1466                                        MatZeroEntries_MPISBAIJ,
1467                                /* 24*/ 0,
1468                                        0,
1469                                        0,
1470                                        0,
1471                                        0,
1472                                /* 29*/ MatSetUp_MPISBAIJ,
1473                                        0,
1474                                        0,
1475                                        0,
1476                                        0,
1477                                /* 34*/ MatDuplicate_MPISBAIJ,
1478                                        0,
1479                                        0,
1480                                        0,
1481                                        0,
1482                                /* 39*/ MatAXPY_MPISBAIJ,
1483                                        MatGetSubMatrices_MPISBAIJ,
1484                                        MatIncreaseOverlap_MPISBAIJ,
1485                                        MatGetValues_MPISBAIJ,
1486                                        MatCopy_MPISBAIJ,
1487                                /* 44*/ 0,
1488                                        MatScale_MPISBAIJ,
1489                                        0,
1490                                        0,
1491                                        0,
1492                                /* 49*/ 0,
1493                                        0,
1494                                        0,
1495                                        0,
1496                                        0,
1497                                /* 54*/ 0,
1498                                        0,
1499                                        MatSetUnfactored_MPISBAIJ,
1500                                        0,
1501                                        MatSetValuesBlocked_MPISBAIJ,
1502                                /* 59*/ 0,
1503                                        0,
1504                                        0,
1505                                        0,
1506                                        0,
1507                                /* 64*/ 0,
1508                                        0,
1509                                        0,
1510                                        0,
1511                                        0,
1512                                /* 69*/ MatGetRowMaxAbs_MPISBAIJ,
1513                                        0,
1514                                        0,
1515                                        0,
1516                                        0,
1517                                /* 74*/ 0,
1518                                        0,
1519                                        0,
1520                                        0,
1521                                        0,
1522                                /* 79*/ 0,
1523                                        0,
1524                                        0,
1525                                        0,
1526                                        MatLoad_MPISBAIJ,
1527                                /* 84*/ 0,
1528                                        0,
1529                                        0,
1530                                        0,
1531                                        0,
1532                                /* 89*/ 0,
1533                                        0,
1534                                        0,
1535                                        0,
1536                                        0,
1537                                /* 94*/ 0,
1538                                        0,
1539                                        0,
1540                                        0,
1541                                        0,
1542                                /* 99*/ 0,
1543                                        0,
1544                                        0,
1545                                        0,
1546                                        0,
1547                                /*104*/ 0,
1548                                        MatRealPart_MPISBAIJ,
1549                                        MatImaginaryPart_MPISBAIJ,
1550                                        MatGetRowUpperTriangular_MPISBAIJ,
1551                                        MatRestoreRowUpperTriangular_MPISBAIJ,
1552                                /*109*/ 0,
1553                                        0,
1554                                        0,
1555                                        0,
1556                                        0,
1557                                /*114*/ 0,
1558                                        0,
1559                                        0,
1560                                        0,
1561                                        0,
1562                                /*119*/ 0,
1563                                        0,
1564                                        0,
1565                                        0,
1566                                        0,
1567                                /*124*/ 0,
1568                                        0,
1569                                        0,
1570                                        0,
1571                                        0,
1572                                /*129*/ 0,
1573                                        0,
1574                                        0,
1575                                        0,
1576                                        0,
1577                                /*134*/ 0,
1578                                        0,
1579                                        0,
1580                                        0,
1581                                        0,
1582                                /*139*/ 0,
1583                                        0,
1584                                        0
1585 };
1586 
1587 
1588 #undef __FUNCT__
1589 #define __FUNCT__ "MatGetDiagonalBlock_MPISBAIJ"
1590 PetscErrorCode  MatGetDiagonalBlock_MPISBAIJ(Mat A,Mat *a)
1591 {
1592   PetscFunctionBegin;
1593   *a = ((Mat_MPISBAIJ*)A->data)->A;
1594   PetscFunctionReturn(0);
1595 }
1596 
1597 #undef __FUNCT__
1598 #define __FUNCT__ "MatMPISBAIJSetPreallocation_MPISBAIJ"
1599 PetscErrorCode  MatMPISBAIJSetPreallocation_MPISBAIJ(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt *d_nnz,PetscInt o_nz,const PetscInt *o_nnz)
1600 {
1601   Mat_MPISBAIJ   *b;
1602   PetscErrorCode ierr;
1603   PetscInt       i,mbs,Mbs;
1604 
1605   PetscFunctionBegin;
1606   ierr = MatSetBlockSize(B,PetscAbs(bs));CHKERRQ(ierr);
1607   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1608   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1609   ierr = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
1610 
1611   b   = (Mat_MPISBAIJ*)B->data;
1612   mbs = B->rmap->n/bs;
1613   Mbs = B->rmap->N/bs;
1614   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);
1615 
1616   B->rmap->bs = bs;
1617   b->bs2      = bs*bs;
1618   b->mbs      = mbs;
1619   b->nbs      = mbs;
1620   b->Mbs      = Mbs;
1621   b->Nbs      = Mbs;
1622 
1623   for (i=0; i<=b->size; i++) {
1624     b->rangebs[i] = B->rmap->range[i]/bs;
1625   }
1626   b->rstartbs = B->rmap->rstart/bs;
1627   b->rendbs   = B->rmap->rend/bs;
1628 
1629   b->cstartbs = B->cmap->rstart/bs;
1630   b->cendbs   = B->cmap->rend/bs;
1631 
1632   if (!B->preallocated) {
1633     ierr = MatCreate(PETSC_COMM_SELF,&b->A);CHKERRQ(ierr);
1634     ierr = MatSetSizes(b->A,B->rmap->n,B->cmap->n,B->rmap->n,B->cmap->n);CHKERRQ(ierr);
1635     ierr = MatSetType(b->A,MATSEQSBAIJ);CHKERRQ(ierr);
1636     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->A);CHKERRQ(ierr);
1637     ierr = MatCreate(PETSC_COMM_SELF,&b->B);CHKERRQ(ierr);
1638     ierr = MatSetSizes(b->B,B->rmap->n,B->cmap->N,B->rmap->n,B->cmap->N);CHKERRQ(ierr);
1639     ierr = MatSetType(b->B,MATSEQBAIJ);CHKERRQ(ierr);
1640     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->B);CHKERRQ(ierr);
1641     ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),bs,&B->bstash);CHKERRQ(ierr);
1642   }
1643 
1644   ierr = MatSeqSBAIJSetPreallocation(b->A,bs,d_nz,d_nnz);CHKERRQ(ierr);
1645   ierr = MatSeqBAIJSetPreallocation(b->B,bs,o_nz,o_nnz);CHKERRQ(ierr);
1646 
1647   B->preallocated = PETSC_TRUE;
1648   PetscFunctionReturn(0);
1649 }
1650 
1651 #undef __FUNCT__
1652 #define __FUNCT__ "MatMPISBAIJSetPreallocationCSR_MPISBAIJ"
1653 PetscErrorCode MatMPISBAIJSetPreallocationCSR_MPISBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
1654 {
1655   PetscInt       m,rstart,cstart,cend;
1656   PetscInt       i,j,d,nz,nz_max=0,*d_nnz=0,*o_nnz=0;
1657   const PetscInt *JJ    =0;
1658   PetscScalar    *values=0;
1659   PetscErrorCode ierr;
1660 
1661   PetscFunctionBegin;
1662   if (bs < 1) SETERRQ1(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive but it is %D",bs);
1663   ierr   = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
1664   ierr   = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
1665   ierr   = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
1666   ierr   = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
1667   ierr   = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
1668   m      = B->rmap->n/bs;
1669   rstart = B->rmap->rstart/bs;
1670   cstart = B->cmap->rstart/bs;
1671   cend   = B->cmap->rend/bs;
1672 
1673   if (ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"ii[0] must be 0 but it is %D",ii[0]);
1674   ierr = PetscMalloc2(m,&d_nnz,m,&o_nnz);CHKERRQ(ierr);
1675   for (i=0; i<m; i++) {
1676     nz = ii[i+1] - ii[i];
1677     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Local row %D has a negative number of columns %D",i,nz);
1678     nz_max = PetscMax(nz_max,nz);
1679     JJ     = jj + ii[i];
1680     for (j=0; j<nz; j++) {
1681       if (*JJ >= cstart) break;
1682       JJ++;
1683     }
1684     d = 0;
1685     for (; j<nz; j++) {
1686       if (*JJ++ >= cend) break;
1687       d++;
1688     }
1689     d_nnz[i] = d;
1690     o_nnz[i] = nz - d;
1691   }
1692   ierr = MatMPISBAIJSetPreallocation(B,bs,0,d_nnz,0,o_nnz);CHKERRQ(ierr);
1693   ierr = PetscFree2(d_nnz,o_nnz);CHKERRQ(ierr);
1694 
1695   values = (PetscScalar*)V;
1696   if (!values) {
1697     ierr = PetscMalloc1(bs*bs*nz_max,&values);CHKERRQ(ierr);
1698     ierr = PetscMemzero(values,bs*bs*nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
1699   }
1700   for (i=0; i<m; i++) {
1701     PetscInt          row    = i + rstart;
1702     PetscInt          ncols  = ii[i+1] - ii[i];
1703     const PetscInt    *icols = jj + ii[i];
1704     const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
1705     ierr = MatSetValuesBlocked_MPISBAIJ(B,1,&row,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
1706   }
1707 
1708   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
1709   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1710   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1711   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
1712   PetscFunctionReturn(0);
1713 }
1714 
1715 #if defined(PETSC_HAVE_MUMPS)
1716 PETSC_EXTERN PetscErrorCode MatGetFactor_sbaij_mumps(Mat,MatFactorType,Mat*);
1717 #endif
1718 #if defined(PETSC_HAVE_PASTIX)
1719 PETSC_EXTERN PetscErrorCode MatGetFactor_mpisbaij_pastix(Mat,MatFactorType,Mat*);
1720 #endif
1721 
1722 /*MC
1723    MATMPISBAIJ - MATMPISBAIJ = "mpisbaij" - A matrix type to be used for distributed symmetric sparse block matrices,
1724    based on block compressed sparse row format.  Only the upper triangular portion of the "diagonal" portion of
1725    the matrix is stored.
1726 
1727   For complex numbers by default this matrix is symmetric, NOT Hermitian symmetric. To make it Hermitian symmetric you
1728   can call MatSetOption(Mat, MAT_HERMITIAN);
1729 
1730    Options Database Keys:
1731 . -mat_type mpisbaij - sets the matrix type to "mpisbaij" during a call to MatSetFromOptions()
1732 
1733   Level: beginner
1734 
1735 .seealso: MatCreateMPISBAIJ
1736 M*/
1737 
1738 PETSC_EXTERN PetscErrorCode MatConvert_MPISBAIJ_MPISBSTRM(Mat,MatType,MatReuse,Mat*);
1739 
1740 #undef __FUNCT__
1741 #define __FUNCT__ "MatCreate_MPISBAIJ"
1742 PETSC_EXTERN PetscErrorCode MatCreate_MPISBAIJ(Mat B)
1743 {
1744   Mat_MPISBAIJ   *b;
1745   PetscErrorCode ierr;
1746   PetscBool      flg;
1747 
1748   PetscFunctionBegin;
1749   ierr    = PetscNewLog(B,&b);CHKERRQ(ierr);
1750   B->data = (void*)b;
1751   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
1752 
1753   B->ops->destroy = MatDestroy_MPISBAIJ;
1754   B->ops->view    = MatView_MPISBAIJ;
1755   B->assembled    = PETSC_FALSE;
1756   B->insertmode   = NOT_SET_VALUES;
1757 
1758   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)B),&b->rank);CHKERRQ(ierr);
1759   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&b->size);CHKERRQ(ierr);
1760 
1761   /* build local table of row and column ownerships */
1762   ierr = PetscMalloc1((b->size+2),&b->rangebs);CHKERRQ(ierr);
1763 
1764   /* build cache for off array entries formed */
1765   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),1,&B->stash);CHKERRQ(ierr);
1766 
1767   b->donotstash  = PETSC_FALSE;
1768   b->colmap      = NULL;
1769   b->garray      = NULL;
1770   b->roworiented = PETSC_TRUE;
1771 
1772   /* stuff used in block assembly */
1773   b->barray = 0;
1774 
1775   /* stuff used for matrix vector multiply */
1776   b->lvec    = 0;
1777   b->Mvctx   = 0;
1778   b->slvec0  = 0;
1779   b->slvec0b = 0;
1780   b->slvec1  = 0;
1781   b->slvec1a = 0;
1782   b->slvec1b = 0;
1783   b->sMvctx  = 0;
1784 
1785   /* stuff for MatGetRow() */
1786   b->rowindices   = 0;
1787   b->rowvalues    = 0;
1788   b->getrowactive = PETSC_FALSE;
1789 
1790   /* hash table stuff */
1791   b->ht           = 0;
1792   b->hd           = 0;
1793   b->ht_size      = 0;
1794   b->ht_flag      = PETSC_FALSE;
1795   b->ht_fact      = 0;
1796   b->ht_total_ct  = 0;
1797   b->ht_insert_ct = 0;
1798 
1799   /* stuff for MatGetSubMatrices_MPIBAIJ_local() */
1800   b->ijonly = PETSC_FALSE;
1801 
1802   b->in_loc = 0;
1803   b->v_loc  = 0;
1804   b->n_loc  = 0;
1805   ierr      = PetscOptionsBegin(PetscObjectComm((PetscObject)B),NULL,"Options for loading MPISBAIJ matrix 1","Mat");CHKERRQ(ierr);
1806   ierr      = PetscOptionsBool("-mat_use_hash_table","Use hash table to save memory in constructing matrix","MatSetOption",PETSC_FALSE,&flg,NULL);CHKERRQ(ierr);
1807   if (flg) {
1808     PetscReal fact = 1.39;
1809     ierr = MatSetOption(B,MAT_USE_HASH_TABLE,PETSC_TRUE);CHKERRQ(ierr);
1810     ierr = PetscOptionsReal("-mat_use_hash_table","Use hash table factor","MatMPIBAIJSetHashTableFactor",fact,&fact,NULL);CHKERRQ(ierr);
1811     if (fact <= 1.0) fact = 1.39;
1812     ierr = MatMPIBAIJSetHashTableFactor(B,fact);CHKERRQ(ierr);
1813     ierr = PetscInfo1(B,"Hash table Factor used %5.2f\n",fact);CHKERRQ(ierr);
1814   }
1815   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1816 
1817 #if defined(PETSC_HAVE_PASTIX)
1818   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_pastix_C",MatGetFactor_mpisbaij_pastix);CHKERRQ(ierr);
1819 #endif
1820 #if defined(PETSC_HAVE_MUMPS)
1821   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_mumps_C",MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
1822 #endif
1823   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_MPISBAIJ);CHKERRQ(ierr);
1824   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_MPISBAIJ);CHKERRQ(ierr);
1825   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetDiagonalBlock_C",MatGetDiagonalBlock_MPISBAIJ);CHKERRQ(ierr);
1826   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPISBAIJSetPreallocation_C",MatMPISBAIJSetPreallocation_MPISBAIJ);CHKERRQ(ierr);
1827   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPISBAIJSetPreallocationCSR_C",MatMPISBAIJSetPreallocationCSR_MPISBAIJ);CHKERRQ(ierr);
1828   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpisbaij_mpisbstrm_C",MatConvert_MPISBAIJ_MPISBSTRM);CHKERRQ(ierr);
1829 
1830   B->symmetric                  = PETSC_TRUE;
1831   B->structurally_symmetric     = PETSC_TRUE;
1832   B->symmetric_set              = PETSC_TRUE;
1833   B->structurally_symmetric_set = PETSC_TRUE;
1834 
1835   ierr = PetscObjectChangeTypeName((PetscObject)B,MATMPISBAIJ);CHKERRQ(ierr);
1836   PetscFunctionReturn(0);
1837 }
1838 
1839 /*MC
1840    MATSBAIJ - MATSBAIJ = "sbaij" - A matrix type to be used for symmetric block sparse matrices.
1841 
1842    This matrix type is identical to MATSEQSBAIJ when constructed with a single process communicator,
1843    and MATMPISBAIJ otherwise.
1844 
1845    Options Database Keys:
1846 . -mat_type sbaij - sets the matrix type to "sbaij" during a call to MatSetFromOptions()
1847 
1848   Level: beginner
1849 
1850 .seealso: MatCreateMPISBAIJ,MATSEQSBAIJ,MATMPISBAIJ
1851 M*/
1852 
1853 #undef __FUNCT__
1854 #define __FUNCT__ "MatMPISBAIJSetPreallocation"
1855 /*@C
1856    MatMPISBAIJSetPreallocation - For good matrix assembly performance
1857    the user should preallocate the matrix storage by setting the parameters
1858    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
1859    performance can be increased by more than a factor of 50.
1860 
1861    Collective on Mat
1862 
1863    Input Parameters:
1864 +  B - the matrix
1865 .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
1866           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
1867 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
1868            submatrix  (same for all local rows)
1869 .  d_nnz - array containing the number of block nonzeros in the various block rows
1870            in the upper triangular and diagonal part of the in diagonal portion of the local
1871            (possibly different for each block row) or NULL.  If you plan to factor the matrix you must leave room
1872            for the diagonal entry and set a value even if it is zero.
1873 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
1874            submatrix (same for all local rows).
1875 -  o_nnz - array containing the number of nonzeros in the various block rows of the
1876            off-diagonal portion of the local submatrix that is right of the diagonal
1877            (possibly different for each block row) or NULL.
1878 
1879 
1880    Options Database Keys:
1881 .   -mat_no_unroll - uses code that does not unroll the loops in the
1882                      block calculations (much slower)
1883 .   -mat_block_size - size of the blocks to use
1884 
1885    Notes:
1886 
1887    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
1888    than it must be used on all processors that share the object for that argument.
1889 
1890    If the *_nnz parameter is given then the *_nz parameter is ignored
1891 
1892    Storage Information:
1893    For a square global matrix we define each processor's diagonal portion
1894    to be its local rows and the corresponding columns (a square submatrix);
1895    each processor's off-diagonal portion encompasses the remainder of the
1896    local matrix (a rectangular submatrix).
1897 
1898    The user can specify preallocated storage for the diagonal part of
1899    the local submatrix with either d_nz or d_nnz (not both).  Set
1900    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
1901    memory allocation.  Likewise, specify preallocated storage for the
1902    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
1903 
1904    You can call MatGetInfo() to get information on how effective the preallocation was;
1905    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
1906    You can also run with the option -info and look for messages with the string
1907    malloc in them to see if additional memory allocation was needed.
1908 
1909    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
1910    the figure below we depict these three local rows and all columns (0-11).
1911 
1912 .vb
1913            0 1 2 3 4 5 6 7 8 9 10 11
1914           --------------------------
1915    row 3  |. . . d d d o o o o  o  o
1916    row 4  |. . . d d d o o o o  o  o
1917    row 5  |. . . d d d o o o o  o  o
1918           --------------------------
1919 .ve
1920 
1921    Thus, any entries in the d locations are stored in the d (diagonal)
1922    submatrix, and any entries in the o locations are stored in the
1923    o (off-diagonal) submatrix.  Note that the d matrix is stored in
1924    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
1925 
1926    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
1927    plus the diagonal part of the d matrix,
1928    and o_nz should indicate the number of block nonzeros per row in the o matrix
1929 
1930    In general, for PDE problems in which most nonzeros are near the diagonal,
1931    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
1932    or you will get TERRIBLE performance; see the users' manual chapter on
1933    matrices.
1934 
1935    Level: intermediate
1936 
1937 .keywords: matrix, block, aij, compressed row, sparse, parallel
1938 
1939 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateBAIJ(), PetscSplitOwnership()
1940 @*/
1941 PetscErrorCode  MatMPISBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
1942 {
1943   PetscErrorCode ierr;
1944 
1945   PetscFunctionBegin;
1946   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
1947   PetscValidType(B,1);
1948   PetscValidLogicalCollectiveInt(B,bs,2);
1949   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);
1950   PetscFunctionReturn(0);
1951 }
1952 
1953 #undef __FUNCT__
1954 #define __FUNCT__ "MatCreateSBAIJ"
1955 /*@C
1956    MatCreateSBAIJ - Creates a sparse parallel matrix in symmetric block AIJ format
1957    (block compressed row).  For good matrix assembly performance
1958    the user should preallocate the matrix storage by setting the parameters
1959    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
1960    performance can be increased by more than a factor of 50.
1961 
1962    Collective on MPI_Comm
1963 
1964    Input Parameters:
1965 +  comm - MPI communicator
1966 .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
1967           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
1968 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
1969            This value should be the same as the local size used in creating the
1970            y vector for the matrix-vector product y = Ax.
1971 .  n - number of local columns (or PETSC_DECIDE to have calculated if N is given)
1972            This value should be the same as the local size used in creating the
1973            x vector for the matrix-vector product y = Ax.
1974 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
1975 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
1976 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
1977            submatrix  (same for all local rows)
1978 .  d_nnz - array containing the number of block nonzeros in the various block rows
1979            in the upper triangular portion of the in diagonal portion of the local
1980            (possibly different for each block block row) or NULL.
1981            If you plan to factor the matrix you must leave room for the diagonal entry and
1982            set its value even if it is zero.
1983 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
1984            submatrix (same for all local rows).
1985 -  o_nnz - array containing the number of nonzeros in the various block rows of the
1986            off-diagonal portion of the local submatrix (possibly different for
1987            each block row) or NULL.
1988 
1989    Output Parameter:
1990 .  A - the matrix
1991 
1992    Options Database Keys:
1993 .   -mat_no_unroll - uses code that does not unroll the loops in the
1994                      block calculations (much slower)
1995 .   -mat_block_size - size of the blocks to use
1996 .   -mat_mpi - use the parallel matrix data structures even on one processor
1997                (defaults to using SeqBAIJ format on one processor)
1998 
1999    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
2000    MatXXXXSetPreallocation() paradgm instead of this routine directly.
2001    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
2002 
2003    Notes:
2004    The number of rows and columns must be divisible by blocksize.
2005    This matrix type does not support complex Hermitian operation.
2006 
2007    The user MUST specify either the local or global matrix dimensions
2008    (possibly both).
2009 
2010    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
2011    than it must be used on all processors that share the object for that argument.
2012 
2013    If the *_nnz parameter is given then the *_nz parameter is ignored
2014 
2015    Storage Information:
2016    For a square global matrix we define each processor's diagonal portion
2017    to be its local rows and the corresponding columns (a square submatrix);
2018    each processor's off-diagonal portion encompasses the remainder of the
2019    local matrix (a rectangular submatrix).
2020 
2021    The user can specify preallocated storage for the diagonal part of
2022    the local submatrix with either d_nz or d_nnz (not both).  Set
2023    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
2024    memory allocation.  Likewise, specify preallocated storage for the
2025    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
2026 
2027    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
2028    the figure below we depict these three local rows and all columns (0-11).
2029 
2030 .vb
2031            0 1 2 3 4 5 6 7 8 9 10 11
2032           --------------------------
2033    row 3  |. . . d d d o o o o  o  o
2034    row 4  |. . . d d d o o o o  o  o
2035    row 5  |. . . d d d o o o o  o  o
2036           --------------------------
2037 .ve
2038 
2039    Thus, any entries in the d locations are stored in the d (diagonal)
2040    submatrix, and any entries in the o locations are stored in the
2041    o (off-diagonal) submatrix.  Note that the d matrix is stored in
2042    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
2043 
2044    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
2045    plus the diagonal part of the d matrix,
2046    and o_nz should indicate the number of block nonzeros per row in the o matrix.
2047    In general, for PDE problems in which most nonzeros are near the diagonal,
2048    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
2049    or you will get TERRIBLE performance; see the users' manual chapter on
2050    matrices.
2051 
2052    Level: intermediate
2053 
2054 .keywords: matrix, block, aij, compressed row, sparse, parallel
2055 
2056 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateBAIJ()
2057 @*/
2058 
2059 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)
2060 {
2061   PetscErrorCode ierr;
2062   PetscMPIInt    size;
2063 
2064   PetscFunctionBegin;
2065   ierr = MatCreate(comm,A);CHKERRQ(ierr);
2066   ierr = MatSetSizes(*A,m,n,M,N);CHKERRQ(ierr);
2067   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2068   if (size > 1) {
2069     ierr = MatSetType(*A,MATMPISBAIJ);CHKERRQ(ierr);
2070     ierr = MatMPISBAIJSetPreallocation(*A,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
2071   } else {
2072     ierr = MatSetType(*A,MATSEQSBAIJ);CHKERRQ(ierr);
2073     ierr = MatSeqSBAIJSetPreallocation(*A,bs,d_nz,d_nnz);CHKERRQ(ierr);
2074   }
2075   PetscFunctionReturn(0);
2076 }
2077 
2078 
2079 #undef __FUNCT__
2080 #define __FUNCT__ "MatDuplicate_MPISBAIJ"
2081 static PetscErrorCode MatDuplicate_MPISBAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
2082 {
2083   Mat            mat;
2084   Mat_MPISBAIJ   *a,*oldmat = (Mat_MPISBAIJ*)matin->data;
2085   PetscErrorCode ierr;
2086   PetscInt       len=0,nt,bs=matin->rmap->bs,mbs=oldmat->mbs;
2087   PetscScalar    *array;
2088 
2089   PetscFunctionBegin;
2090   *newmat = 0;
2091 
2092   ierr = MatCreate(PetscObjectComm((PetscObject)matin),&mat);CHKERRQ(ierr);
2093   ierr = MatSetSizes(mat,matin->rmap->n,matin->cmap->n,matin->rmap->N,matin->cmap->N);CHKERRQ(ierr);
2094   ierr = MatSetType(mat,((PetscObject)matin)->type_name);CHKERRQ(ierr);
2095   ierr = PetscMemcpy(mat->ops,matin->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
2096   ierr = PetscLayoutReference(matin->rmap,&mat->rmap);CHKERRQ(ierr);
2097   ierr = PetscLayoutReference(matin->cmap,&mat->cmap);CHKERRQ(ierr);
2098 
2099   mat->factortype   = matin->factortype;
2100   mat->preallocated = PETSC_TRUE;
2101   mat->assembled    = PETSC_TRUE;
2102   mat->insertmode   = NOT_SET_VALUES;
2103 
2104   a      = (Mat_MPISBAIJ*)mat->data;
2105   a->bs2 = oldmat->bs2;
2106   a->mbs = oldmat->mbs;
2107   a->nbs = oldmat->nbs;
2108   a->Mbs = oldmat->Mbs;
2109   a->Nbs = oldmat->Nbs;
2110 
2111 
2112   a->size         = oldmat->size;
2113   a->rank         = oldmat->rank;
2114   a->donotstash   = oldmat->donotstash;
2115   a->roworiented  = oldmat->roworiented;
2116   a->rowindices   = 0;
2117   a->rowvalues    = 0;
2118   a->getrowactive = PETSC_FALSE;
2119   a->barray       = 0;
2120   a->rstartbs     = oldmat->rstartbs;
2121   a->rendbs       = oldmat->rendbs;
2122   a->cstartbs     = oldmat->cstartbs;
2123   a->cendbs       = oldmat->cendbs;
2124 
2125   /* hash table stuff */
2126   a->ht           = 0;
2127   a->hd           = 0;
2128   a->ht_size      = 0;
2129   a->ht_flag      = oldmat->ht_flag;
2130   a->ht_fact      = oldmat->ht_fact;
2131   a->ht_total_ct  = 0;
2132   a->ht_insert_ct = 0;
2133 
2134   ierr = PetscMemcpy(a->rangebs,oldmat->rangebs,(a->size+2)*sizeof(PetscInt));CHKERRQ(ierr);
2135   if (oldmat->colmap) {
2136 #if defined(PETSC_USE_CTABLE)
2137     ierr = PetscTableCreateCopy(oldmat->colmap,&a->colmap);CHKERRQ(ierr);
2138 #else
2139     ierr = PetscMalloc1((a->Nbs),&a->colmap);CHKERRQ(ierr);
2140     ierr = PetscLogObjectMemory((PetscObject)mat,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2141     ierr = PetscMemcpy(a->colmap,oldmat->colmap,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2142 #endif
2143   } else a->colmap = 0;
2144 
2145   if (oldmat->garray && (len = ((Mat_SeqBAIJ*)(oldmat->B->data))->nbs)) {
2146     ierr = PetscMalloc1(len,&a->garray);CHKERRQ(ierr);
2147     ierr = PetscLogObjectMemory((PetscObject)mat,len*sizeof(PetscInt));CHKERRQ(ierr);
2148     ierr = PetscMemcpy(a->garray,oldmat->garray,len*sizeof(PetscInt));CHKERRQ(ierr);
2149   } else a->garray = 0;
2150 
2151   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)matin),matin->rmap->bs,&mat->bstash);CHKERRQ(ierr);
2152   ierr = VecDuplicate(oldmat->lvec,&a->lvec);CHKERRQ(ierr);
2153   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->lvec);CHKERRQ(ierr);
2154   ierr = VecScatterCopy(oldmat->Mvctx,&a->Mvctx);CHKERRQ(ierr);
2155   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->Mvctx);CHKERRQ(ierr);
2156 
2157   ierr =  VecDuplicate(oldmat->slvec0,&a->slvec0);CHKERRQ(ierr);
2158   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0);CHKERRQ(ierr);
2159   ierr =  VecDuplicate(oldmat->slvec1,&a->slvec1);CHKERRQ(ierr);
2160   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1);CHKERRQ(ierr);
2161 
2162   ierr = VecGetLocalSize(a->slvec1,&nt);CHKERRQ(ierr);
2163   ierr = VecGetArray(a->slvec1,&array);CHKERRQ(ierr);
2164   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,bs*mbs,array,&a->slvec1a);CHKERRQ(ierr);
2165   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nt-bs*mbs,array+bs*mbs,&a->slvec1b);CHKERRQ(ierr);
2166   ierr = VecRestoreArray(a->slvec1,&array);CHKERRQ(ierr);
2167   ierr = VecGetArray(a->slvec0,&array);CHKERRQ(ierr);
2168   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nt-bs*mbs,array+bs*mbs,&a->slvec0b);CHKERRQ(ierr);
2169   ierr = VecRestoreArray(a->slvec0,&array);CHKERRQ(ierr);
2170   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0);CHKERRQ(ierr);
2171   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1);CHKERRQ(ierr);
2172   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec0b);CHKERRQ(ierr);
2173   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1a);CHKERRQ(ierr);
2174   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->slvec1b);CHKERRQ(ierr);
2175 
2176   /* ierr =  VecScatterCopy(oldmat->sMvctx,&a->sMvctx); - not written yet, replaced by the lazy trick: */
2177   ierr      = PetscObjectReference((PetscObject)oldmat->sMvctx);CHKERRQ(ierr);
2178   a->sMvctx = oldmat->sMvctx;
2179   ierr      = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->sMvctx);CHKERRQ(ierr);
2180 
2181   ierr    =  MatDuplicate(oldmat->A,cpvalues,&a->A);CHKERRQ(ierr);
2182   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->A);CHKERRQ(ierr);
2183   ierr    =  MatDuplicate(oldmat->B,cpvalues,&a->B);CHKERRQ(ierr);
2184   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->B);CHKERRQ(ierr);
2185   ierr    = PetscFunctionListDuplicate(((PetscObject)matin)->qlist,&((PetscObject)mat)->qlist);CHKERRQ(ierr);
2186   *newmat = mat;
2187   PetscFunctionReturn(0);
2188 }
2189 
2190 #undef __FUNCT__
2191 #define __FUNCT__ "MatLoad_MPISBAIJ"
2192 PetscErrorCode MatLoad_MPISBAIJ(Mat newmat,PetscViewer viewer)
2193 {
2194   PetscErrorCode ierr;
2195   PetscInt       i,nz,j,rstart,rend;
2196   PetscScalar    *vals,*buf;
2197   MPI_Comm       comm;
2198   MPI_Status     status;
2199   PetscMPIInt    rank,size,tag = ((PetscObject)viewer)->tag,*sndcounts = 0,*browners,maxnz,*rowners,mmbs;
2200   PetscInt       header[4],*rowlengths = 0,M,N,m,*cols,*locrowlens;
2201   PetscInt       *procsnz = 0,jj,*mycols,*ibuf;
2202   PetscInt       bs       =1,Mbs,mbs,extra_rows;
2203   PetscInt       *dlens,*odlens,*mask,*masked1,*masked2,rowcount,odcount;
2204   PetscInt       dcount,kmax,k,nzcount,tmp,sizesset=1,grows,gcols;
2205   int            fd;
2206 
2207   PetscFunctionBegin;
2208   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
2209   ierr = PetscOptionsBegin(comm,NULL,"Options for loading MPISBAIJ matrix 2","Mat");CHKERRQ(ierr);
2210   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
2211   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2212 
2213   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2214   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
2215   if (!rank) {
2216     ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
2217     ierr = PetscBinaryRead(fd,(char*)header,4,PETSC_INT);CHKERRQ(ierr);
2218     if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
2219     if (header[3] < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as MPISBAIJ");
2220   }
2221 
2222   if (newmat->rmap->n < 0 && newmat->rmap->N < 0 && newmat->cmap->n < 0 && newmat->cmap->N < 0) sizesset = 0;
2223 
2224   ierr = MPI_Bcast(header+1,3,MPIU_INT,0,comm);CHKERRQ(ierr);
2225   M    = header[1];
2226   N    = header[2];
2227 
2228   /* If global rows/cols are set to PETSC_DECIDE, set it to the sizes given in the file */
2229   if (sizesset && newmat->rmap->N < 0) newmat->rmap->N = M;
2230   if (sizesset && newmat->cmap->N < 0) newmat->cmap->N = N;
2231 
2232   /* If global sizes are set, check if they are consistent with that given in the file */
2233   if (sizesset) {
2234     ierr = MatGetSize(newmat,&grows,&gcols);CHKERRQ(ierr);
2235   }
2236   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);
2237   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);
2238 
2239   if (M != N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Can only do square matrices");
2240 
2241   /*
2242      This code adds extra rows to make sure the number of rows is
2243      divisible by the blocksize
2244   */
2245   Mbs        = M/bs;
2246   extra_rows = bs - M + bs*(Mbs);
2247   if (extra_rows == bs) extra_rows = 0;
2248   else                  Mbs++;
2249   if (extra_rows &&!rank) {
2250     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
2251   }
2252 
2253   /* determine ownership of all rows */
2254   if (newmat->rmap->n < 0) { /* PETSC_DECIDE */
2255     mbs = Mbs/size + ((Mbs % size) > rank);
2256     m   = mbs*bs;
2257   } else { /* User Set */
2258     m   = newmat->rmap->n;
2259     mbs = m/bs;
2260   }
2261   ierr       = PetscMalloc2(size+1,&rowners,size+1,&browners);CHKERRQ(ierr);
2262   ierr       = PetscMPIIntCast(mbs,&mmbs);CHKERRQ(ierr);
2263   ierr       = MPI_Allgather(&mmbs,1,MPI_INT,rowners+1,1,MPI_INT,comm);CHKERRQ(ierr);
2264   rowners[0] = 0;
2265   for (i=2; i<=size; i++) rowners[i] += rowners[i-1];
2266   for (i=0; i<=size; i++) browners[i] = rowners[i]*bs;
2267   rstart = rowners[rank];
2268   rend   = rowners[rank+1];
2269 
2270   /* distribute row lengths to all processors */
2271   ierr = PetscMalloc1((rend-rstart)*bs,&locrowlens);CHKERRQ(ierr);
2272   if (!rank) {
2273     ierr = PetscMalloc1((M+extra_rows),&rowlengths);CHKERRQ(ierr);
2274     ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
2275     for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
2276     ierr = PetscMalloc1(size,&sndcounts);CHKERRQ(ierr);
2277     for (i=0; i<size; i++) sndcounts[i] = browners[i+1] - browners[i];
2278     ierr = MPI_Scatterv(rowlengths,sndcounts,browners,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2279     ierr = PetscFree(sndcounts);CHKERRQ(ierr);
2280   } else {
2281     ierr = MPI_Scatterv(0,0,0,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2282   }
2283 
2284   if (!rank) {   /* procs[0] */
2285     /* calculate the number of nonzeros on each processor */
2286     ierr = PetscMalloc1(size,&procsnz);CHKERRQ(ierr);
2287     ierr = PetscMemzero(procsnz,size*sizeof(PetscInt));CHKERRQ(ierr);
2288     for (i=0; i<size; i++) {
2289       for (j=rowners[i]*bs; j< rowners[i+1]*bs; j++) {
2290         procsnz[i] += rowlengths[j];
2291       }
2292     }
2293     ierr = PetscFree(rowlengths);CHKERRQ(ierr);
2294 
2295     /* determine max buffer needed and allocate it */
2296     maxnz = 0;
2297     for (i=0; i<size; i++) {
2298       maxnz = PetscMax(maxnz,procsnz[i]);
2299     }
2300     ierr = PetscMalloc1(maxnz,&cols);CHKERRQ(ierr);
2301 
2302     /* read in my part of the matrix column indices  */
2303     nz     = procsnz[0];
2304     ierr   = PetscMalloc1(nz,&ibuf);CHKERRQ(ierr);
2305     mycols = ibuf;
2306     if (size == 1) nz -= extra_rows;
2307     ierr = PetscBinaryRead(fd,mycols,nz,PETSC_INT);CHKERRQ(ierr);
2308     if (size == 1) {
2309       for (i=0; i< extra_rows; i++) mycols[nz+i] = M+i;
2310     }
2311 
2312     /* read in every ones (except the last) and ship off */
2313     for (i=1; i<size-1; i++) {
2314       nz   = procsnz[i];
2315       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2316       ierr = MPI_Send(cols,nz,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
2317     }
2318     /* read in the stuff for the last proc */
2319     if (size != 1) {
2320       nz   = procsnz[size-1] - extra_rows;  /* the extra rows are not on the disk */
2321       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2322       for (i=0; i<extra_rows; i++) cols[nz+i] = M+i;
2323       ierr = MPI_Send(cols,nz+extra_rows,MPIU_INT,size-1,tag,comm);CHKERRQ(ierr);
2324     }
2325     ierr = PetscFree(cols);CHKERRQ(ierr);
2326   } else {  /* procs[i], i>0 */
2327     /* determine buffer space needed for message */
2328     nz = 0;
2329     for (i=0; i<m; i++) nz += locrowlens[i];
2330     ierr   = PetscMalloc1(nz,&ibuf);CHKERRQ(ierr);
2331     mycols = ibuf;
2332     /* receive message of column indices*/
2333     ierr = MPI_Recv(mycols,nz,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
2334     ierr = MPI_Get_count(&status,MPIU_INT,&maxnz);CHKERRQ(ierr);
2335     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2336   }
2337 
2338   /* loop over local rows, determining number of off diagonal entries */
2339   ierr     = PetscMalloc2(rend-rstart,&dlens,rend-rstart,&odlens);CHKERRQ(ierr);
2340   ierr     = PetscMalloc3(Mbs,&mask,Mbs,&masked1,Mbs,&masked2);CHKERRQ(ierr);
2341   ierr     = PetscMemzero(mask,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2342   ierr     = PetscMemzero(masked1,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2343   ierr     = PetscMemzero(masked2,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2344   rowcount = 0;
2345   nzcount  = 0;
2346   for (i=0; i<mbs; i++) {
2347     dcount  = 0;
2348     odcount = 0;
2349     for (j=0; j<bs; j++) {
2350       kmax = locrowlens[rowcount];
2351       for (k=0; k<kmax; k++) {
2352         tmp = mycols[nzcount++]/bs; /* block col. index */
2353         if (!mask[tmp]) {
2354           mask[tmp] = 1;
2355           if (tmp < rstart || tmp >= rend) masked2[odcount++] = tmp; /* entry in off-diag portion */
2356           else masked1[dcount++] = tmp; /* entry in diag portion */
2357         }
2358       }
2359       rowcount++;
2360     }
2361 
2362     dlens[i]  = dcount;  /* d_nzz[i] */
2363     odlens[i] = odcount; /* o_nzz[i] */
2364 
2365     /* zero out the mask elements we set */
2366     for (j=0; j<dcount; j++) mask[masked1[j]] = 0;
2367     for (j=0; j<odcount; j++) mask[masked2[j]] = 0;
2368   }
2369   if (!sizesset) {
2370     ierr = MatSetSizes(newmat,m,m,M+extra_rows,N+extra_rows);CHKERRQ(ierr);
2371   }
2372   ierr = MatMPISBAIJSetPreallocation(newmat,bs,0,dlens,0,odlens);CHKERRQ(ierr);
2373   ierr = MatSetOption(newmat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE);CHKERRQ(ierr);
2374 
2375   if (!rank) {
2376     ierr = PetscMalloc1(maxnz,&buf);CHKERRQ(ierr);
2377     /* read in my part of the matrix numerical values  */
2378     nz     = procsnz[0];
2379     vals   = buf;
2380     mycols = ibuf;
2381     if (size == 1) nz -= extra_rows;
2382     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2383     if (size == 1) {
2384       for (i=0; i< extra_rows; i++) vals[nz+i] = 1.0;
2385     }
2386 
2387     /* insert into matrix */
2388     jj = rstart*bs;
2389     for (i=0; i<m; i++) {
2390       ierr    = MatSetValues(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2391       mycols += locrowlens[i];
2392       vals   += locrowlens[i];
2393       jj++;
2394     }
2395 
2396     /* read in other processors (except the last one) and ship out */
2397     for (i=1; i<size-1; i++) {
2398       nz   = procsnz[i];
2399       vals = buf;
2400       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2401       ierr = MPI_Send(vals,nz,MPIU_SCALAR,i,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
2402     }
2403     /* the last proc */
2404     if (size != 1) {
2405       nz   = procsnz[i] - extra_rows;
2406       vals = buf;
2407       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2408       for (i=0; i<extra_rows; i++) vals[nz+i] = 1.0;
2409       ierr = MPI_Send(vals,nz+extra_rows,MPIU_SCALAR,size-1,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
2410     }
2411     ierr = PetscFree(procsnz);CHKERRQ(ierr);
2412 
2413   } else {
2414     /* receive numeric values */
2415     ierr = PetscMalloc1(nz,&buf);CHKERRQ(ierr);
2416 
2417     /* receive message of values*/
2418     vals   = buf;
2419     mycols = ibuf;
2420     ierr   = MPI_Recv(vals,nz,MPIU_SCALAR,0,((PetscObject)newmat)->tag,comm,&status);CHKERRQ(ierr);
2421     ierr   = MPI_Get_count(&status,MPIU_SCALAR,&maxnz);CHKERRQ(ierr);
2422     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2423 
2424     /* insert into matrix */
2425     jj = rstart*bs;
2426     for (i=0; i<m; i++) {
2427       ierr    = MatSetValues_MPISBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2428       mycols += locrowlens[i];
2429       vals   += locrowlens[i];
2430       jj++;
2431     }
2432   }
2433 
2434   ierr = PetscFree(locrowlens);CHKERRQ(ierr);
2435   ierr = PetscFree(buf);CHKERRQ(ierr);
2436   ierr = PetscFree(ibuf);CHKERRQ(ierr);
2437   ierr = PetscFree2(rowners,browners);CHKERRQ(ierr);
2438   ierr = PetscFree2(dlens,odlens);CHKERRQ(ierr);
2439   ierr = PetscFree3(mask,masked1,masked2);CHKERRQ(ierr);
2440   ierr = MatAssemblyBegin(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2441   ierr = MatAssemblyEnd(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2442   PetscFunctionReturn(0);
2443 }
2444 
2445 #undef __FUNCT__
2446 #define __FUNCT__ "MatMPISBAIJSetHashTableFactor"
2447 /*XXXXX@
2448    MatMPISBAIJSetHashTableFactor - Sets the factor required to compute the size of the HashTable.
2449 
2450    Input Parameters:
2451 .  mat  - the matrix
2452 .  fact - factor
2453 
2454    Not Collective on Mat, each process can have a different hash factor
2455 
2456    Level: advanced
2457 
2458   Notes:
2459    This can also be set by the command line option: -mat_use_hash_table fact
2460 
2461 .keywords: matrix, hashtable, factor, HT
2462 
2463 .seealso: MatSetOption()
2464 @XXXXX*/
2465 
2466 
2467 #undef __FUNCT__
2468 #define __FUNCT__ "MatGetRowMaxAbs_MPISBAIJ"
2469 PetscErrorCode MatGetRowMaxAbs_MPISBAIJ(Mat A,Vec v,PetscInt idx[])
2470 {
2471   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
2472   Mat_SeqBAIJ    *b = (Mat_SeqBAIJ*)(a->B)->data;
2473   PetscReal      atmp;
2474   PetscReal      *work,*svalues,*rvalues;
2475   PetscErrorCode ierr;
2476   PetscInt       i,bs,mbs,*bi,*bj,brow,j,ncols,krow,kcol,col,row,Mbs,bcol;
2477   PetscMPIInt    rank,size;
2478   PetscInt       *rowners_bs,dest,count,source;
2479   PetscScalar    *va;
2480   MatScalar      *ba;
2481   MPI_Status     stat;
2482 
2483   PetscFunctionBegin;
2484   if (idx) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Send email to petsc-maint@mcs.anl.gov");
2485   ierr = MatGetRowMaxAbs(a->A,v,NULL);CHKERRQ(ierr);
2486   ierr = VecGetArray(v,&va);CHKERRQ(ierr);
2487 
2488   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&size);CHKERRQ(ierr);
2489   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A),&rank);CHKERRQ(ierr);
2490 
2491   bs  = A->rmap->bs;
2492   mbs = a->mbs;
2493   Mbs = a->Mbs;
2494   ba  = b->a;
2495   bi  = b->i;
2496   bj  = b->j;
2497 
2498   /* find ownerships */
2499   rowners_bs = A->rmap->range;
2500 
2501   /* each proc creates an array to be distributed */
2502   ierr = PetscMalloc1(bs*Mbs,&work);CHKERRQ(ierr);
2503   ierr = PetscMemzero(work,bs*Mbs*sizeof(PetscReal));CHKERRQ(ierr);
2504 
2505   /* row_max for B */
2506   if (rank != size-1) {
2507     for (i=0; i<mbs; i++) {
2508       ncols = bi[1] - bi[0]; bi++;
2509       brow  = bs*i;
2510       for (j=0; j<ncols; j++) {
2511         bcol = bs*(*bj);
2512         for (kcol=0; kcol<bs; kcol++) {
2513           col  = bcol + kcol;                /* local col index */
2514           col += rowners_bs[rank+1];      /* global col index */
2515           for (krow=0; krow<bs; krow++) {
2516             atmp = PetscAbsScalar(*ba); ba++;
2517             row  = brow + krow;   /* local row index */
2518             if (PetscRealPart(va[row]) < atmp) va[row] = atmp;
2519             if (work[col] < atmp) work[col] = atmp;
2520           }
2521         }
2522         bj++;
2523       }
2524     }
2525 
2526     /* send values to its owners */
2527     for (dest=rank+1; dest<size; dest++) {
2528       svalues = work + rowners_bs[dest];
2529       count   = rowners_bs[dest+1]-rowners_bs[dest];
2530       ierr    = MPI_Send(svalues,count,MPIU_REAL,dest,rank,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2531     }
2532   }
2533 
2534   /* receive values */
2535   if (rank) {
2536     rvalues = work;
2537     count   = rowners_bs[rank+1]-rowners_bs[rank];
2538     for (source=0; source<rank; source++) {
2539       ierr = MPI_Recv(rvalues,count,MPIU_REAL,MPI_ANY_SOURCE,MPI_ANY_TAG,PetscObjectComm((PetscObject)A),&stat);CHKERRQ(ierr);
2540       /* process values */
2541       for (i=0; i<count; i++) {
2542         if (PetscRealPart(va[i]) < rvalues[i]) va[i] = rvalues[i];
2543       }
2544     }
2545   }
2546 
2547   ierr = VecRestoreArray(v,&va);CHKERRQ(ierr);
2548   ierr = PetscFree(work);CHKERRQ(ierr);
2549   PetscFunctionReturn(0);
2550 }
2551 
2552 #undef __FUNCT__
2553 #define __FUNCT__ "MatSOR_MPISBAIJ"
2554 PetscErrorCode MatSOR_MPISBAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2555 {
2556   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)matin->data;
2557   PetscErrorCode    ierr;
2558   PetscInt          mbs=mat->mbs,bs=matin->rmap->bs;
2559   PetscScalar       *x,*ptr,*from;
2560   Vec               bb1;
2561   const PetscScalar *b;
2562 
2563   PetscFunctionBegin;
2564   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);
2565   if (bs > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2566 
2567   if (flag == SOR_APPLY_UPPER) {
2568     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2569     PetscFunctionReturn(0);
2570   }
2571 
2572   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
2573     if (flag & SOR_ZERO_INITIAL_GUESS) {
2574       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2575       its--;
2576     }
2577 
2578     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2579     while (its--) {
2580 
2581       /* lower triangular part: slvec0b = - B^T*xx */
2582       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2583 
2584       /* copy xx into slvec0a */
2585       ierr = VecGetArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2586       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2587       ierr = PetscMemcpy(ptr,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2588       ierr = VecRestoreArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2589 
2590       ierr = VecScale(mat->slvec0,-1.0);CHKERRQ(ierr);
2591 
2592       /* copy bb into slvec1a */
2593       ierr = VecGetArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2594       ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
2595       ierr = PetscMemcpy(ptr,b,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2596       ierr = VecRestoreArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2597 
2598       /* set slvec1b = 0 */
2599       ierr = VecSet(mat->slvec1b,0.0);CHKERRQ(ierr);
2600 
2601       ierr = VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2602       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2603       ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
2604       ierr = VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2605 
2606       /* upper triangular part: bb1 = bb1 - B*x */
2607       ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,bb1);CHKERRQ(ierr);
2608 
2609       /* local diagonal sweep */
2610       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
2611     }
2612     ierr = VecDestroy(&bb1);CHKERRQ(ierr);
2613   } else if ((flag & SOR_LOCAL_FORWARD_SWEEP) && (its == 1) && (flag & SOR_ZERO_INITIAL_GUESS)) {
2614     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2615   } else if ((flag & SOR_LOCAL_BACKWARD_SWEEP) && (its == 1) && (flag & SOR_ZERO_INITIAL_GUESS)) {
2616     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2617   } else if (flag & SOR_EISENSTAT) {
2618     Vec               xx1;
2619     PetscBool         hasop;
2620     const PetscScalar *diag;
2621     PetscScalar       *sl,scale = (omega - 2.0)/omega;
2622     PetscInt          i,n;
2623 
2624     if (!mat->xx1) {
2625       ierr = VecDuplicate(bb,&mat->xx1);CHKERRQ(ierr);
2626       ierr = VecDuplicate(bb,&mat->bb1);CHKERRQ(ierr);
2627     }
2628     xx1 = mat->xx1;
2629     bb1 = mat->bb1;
2630 
2631     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,(MatSORType)(SOR_ZERO_INITIAL_GUESS | SOR_LOCAL_BACKWARD_SWEEP),fshift,lits,1,xx);CHKERRQ(ierr);
2632 
2633     if (!mat->diag) {
2634       /* this is wrong for same matrix with new nonzero values */
2635       ierr = MatCreateVecs(matin,&mat->diag,NULL);CHKERRQ(ierr);
2636       ierr = MatGetDiagonal(matin,mat->diag);CHKERRQ(ierr);
2637     }
2638     ierr = MatHasOperation(matin,MATOP_MULT_DIAGONAL_BLOCK,&hasop);CHKERRQ(ierr);
2639 
2640     if (hasop) {
2641       ierr = MatMultDiagonalBlock(matin,xx,bb1);CHKERRQ(ierr);
2642       ierr = VecAYPX(mat->slvec1a,scale,bb);CHKERRQ(ierr);
2643     } else {
2644       /*
2645           These two lines are replaced by code that may be a bit faster for a good compiler
2646       ierr = VecPointwiseMult(mat->slvec1a,mat->diag,xx);CHKERRQ(ierr);
2647       ierr = VecAYPX(mat->slvec1a,scale,bb);CHKERRQ(ierr);
2648       */
2649       ierr = VecGetArray(mat->slvec1a,&sl);CHKERRQ(ierr);
2650       ierr = VecGetArrayRead(mat->diag,&diag);CHKERRQ(ierr);
2651       ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr);
2652       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2653       ierr = VecGetLocalSize(xx,&n);CHKERRQ(ierr);
2654       if (omega == 1.0) {
2655         for (i=0; i<n; i++) sl[i] = b[i] - diag[i]*x[i];
2656         ierr = PetscLogFlops(2.0*n);CHKERRQ(ierr);
2657       } else {
2658         for (i=0; i<n; i++) sl[i] = b[i] + scale*diag[i]*x[i];
2659         ierr = PetscLogFlops(3.0*n);CHKERRQ(ierr);
2660       }
2661       ierr = VecRestoreArray(mat->slvec1a,&sl);CHKERRQ(ierr);
2662       ierr = VecRestoreArrayRead(mat->diag,&diag);CHKERRQ(ierr);
2663       ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr);
2664       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2665     }
2666 
2667     /* multiply off-diagonal portion of matrix */
2668     ierr = VecSet(mat->slvec1b,0.0);CHKERRQ(ierr);
2669     ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2670     ierr = VecGetArray(mat->slvec0,&from);CHKERRQ(ierr);
2671     ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2672     ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2673     ierr = VecRestoreArray(mat->slvec0,&from);CHKERRQ(ierr);
2674     ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2675     ierr = VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2676     ierr = VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2677     ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,mat->slvec1a);CHKERRQ(ierr);
2678 
2679     /* local sweep */
2680     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);
2681     ierr = VecAXPY(xx,1.0,xx1);CHKERRQ(ierr);
2682   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
2683   PetscFunctionReturn(0);
2684 }
2685 
2686 #undef __FUNCT__
2687 #define __FUNCT__ "MatSOR_MPISBAIJ_2comm"
2688 PetscErrorCode MatSOR_MPISBAIJ_2comm(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2689 {
2690   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
2691   PetscErrorCode ierr;
2692   Vec            lvec1,bb1;
2693 
2694   PetscFunctionBegin;
2695   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);
2696   if (matin->rmap->bs > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2697 
2698   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
2699     if (flag & SOR_ZERO_INITIAL_GUESS) {
2700       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2701       its--;
2702     }
2703 
2704     ierr = VecDuplicate(mat->lvec,&lvec1);CHKERRQ(ierr);
2705     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2706     while (its--) {
2707       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2708 
2709       /* lower diagonal part: bb1 = bb - B^T*xx */
2710       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,lvec1);CHKERRQ(ierr);
2711       ierr = VecScale(lvec1,-1.0);CHKERRQ(ierr);
2712 
2713       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2714       ierr = VecCopy(bb,bb1);CHKERRQ(ierr);
2715       ierr = VecScatterBegin(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2716 
2717       /* upper diagonal part: bb1 = bb1 - B*x */
2718       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2719       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb1,bb1);CHKERRQ(ierr);
2720 
2721       ierr = VecScatterEnd(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2722 
2723       /* diagonal sweep */
2724       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
2725     }
2726     ierr = VecDestroy(&lvec1);CHKERRQ(ierr);
2727     ierr = VecDestroy(&bb1);CHKERRQ(ierr);
2728   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
2729   PetscFunctionReturn(0);
2730 }
2731 
2732 #undef __FUNCT__
2733 #define __FUNCT__ "MatCreateMPISBAIJWithArrays"
2734 /*@
2735      MatCreateMPISBAIJWithArrays - creates a MPI SBAIJ matrix using arrays that contain in standard
2736          CSR format the local rows.
2737 
2738    Collective on MPI_Comm
2739 
2740    Input Parameters:
2741 +  comm - MPI communicator
2742 .  bs - the block size, only a block size of 1 is supported
2743 .  m - number of local rows (Cannot be PETSC_DECIDE)
2744 .  n - This value should be the same as the local size used in creating the
2745        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
2746        calculated if N is given) For square matrices n is almost always m.
2747 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
2748 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
2749 .   i - row indices
2750 .   j - column indices
2751 -   a - matrix values
2752 
2753    Output Parameter:
2754 .   mat - the matrix
2755 
2756    Level: intermediate
2757 
2758    Notes:
2759        The i, j, and a arrays ARE copied by this routine into the internal format used by PETSc;
2760      thus you CANNOT change the matrix entries by changing the values of a[] after you have
2761      called this routine. Use MatCreateMPIAIJWithSplitArrays() to avoid needing to copy the arrays.
2762 
2763        The i and j indices are 0 based, and i indices are indices corresponding to the local j array.
2764 
2765 .keywords: matrix, aij, compressed row, sparse, parallel
2766 
2767 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
2768           MPIAIJ, MatCreateAIJ(), MatCreateMPIAIJWithSplitArrays()
2769 @*/
2770 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)
2771 {
2772   PetscErrorCode ierr;
2773 
2774 
2775   PetscFunctionBegin;
2776   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
2777   if (m < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"local number of rows (m) cannot be PETSC_DECIDE, or negative");
2778   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
2779   ierr = MatSetSizes(*mat,m,n,M,N);CHKERRQ(ierr);
2780   ierr = MatSetType(*mat,MATMPISBAIJ);CHKERRQ(ierr);
2781   ierr = MatMPISBAIJSetPreallocationCSR(*mat,bs,i,j,a);CHKERRQ(ierr);
2782   PetscFunctionReturn(0);
2783 }
2784 
2785 
2786 #undef __FUNCT__
2787 #define __FUNCT__ "MatMPISBAIJSetPreallocationCSR"
2788 /*@C
2789    MatMPISBAIJSetPreallocationCSR - Allocates memory for a sparse parallel matrix in BAIJ format
2790    (the default parallel PETSc format).
2791 
2792    Collective on MPI_Comm
2793 
2794    Input Parameters:
2795 +  B - the matrix
2796 .  bs - the block size
2797 .  i - the indices into j for the start of each local row (starts with zero)
2798 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
2799 -  v - optional values in the matrix
2800 
2801    Level: developer
2802 
2803 .keywords: matrix, aij, compressed row, sparse, parallel
2804 
2805 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIBAIJSetPreallocation(), MatCreateAIJ(), MPIAIJ
2806 @*/
2807 PetscErrorCode  MatMPISBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
2808 {
2809   PetscErrorCode ierr;
2810 
2811   PetscFunctionBegin;
2812   ierr = PetscTryMethod(B,"MatMPISBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));CHKERRQ(ierr);
2813   PetscFunctionReturn(0);
2814 }
2815 
2816 
2817