xref: /petsc/src/mat/impls/sbaij/mpi/mpisbaij.c (revision 4e0d8c253c5baa1c48327ddb2b78bf7a43f58497)
1 #define PETSCMAT_DLL
2 
3 #include "src/mat/impls/baij/mpi/mpibaij.h"    /*I "petscmat.h" I*/
4 #include "mpisbaij.h"
5 #include "src/mat/impls/sbaij/seq/sbaij.h"
6 
7 EXTERN PetscErrorCode MatSetUpMultiply_MPISBAIJ(Mat);
8 EXTERN PetscErrorCode MatSetUpMultiply_MPISBAIJ_2comm(Mat);
9 EXTERN PetscErrorCode DisAssemble_MPISBAIJ(Mat);
10 EXTERN PetscErrorCode MatIncreaseOverlap_MPISBAIJ(Mat,PetscInt,IS[],PetscInt);
11 EXTERN PetscErrorCode MatGetValues_SeqSBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar []);
12 EXTERN PetscErrorCode MatGetValues_SeqBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar []);
13 EXTERN PetscErrorCode MatSetValues_SeqSBAIJ(Mat,PetscInt,const PetscInt [],PetscInt,const PetscInt [],const PetscScalar [],InsertMode);
14 EXTERN PetscErrorCode MatSetValuesBlocked_SeqSBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
15 EXTERN PetscErrorCode MatSetValuesBlocked_SeqBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
16 EXTERN PetscErrorCode MatGetRow_SeqSBAIJ(Mat,PetscInt,PetscInt*,PetscInt**,PetscScalar**);
17 EXTERN PetscErrorCode MatRestoreRow_SeqSBAIJ(Mat,PetscInt,PetscInt*,PetscInt**,PetscScalar**);
18 EXTERN PetscErrorCode MatZeroRows_SeqSBAIJ(Mat,IS,PetscScalar*);
19 EXTERN PetscErrorCode MatZeroRows_SeqBAIJ(Mat,IS,PetscScalar *);
20 EXTERN PetscErrorCode MatGetRowMaxAbs_MPISBAIJ(Mat,Vec,PetscInt[]);
21 EXTERN PetscErrorCode MatRelax_MPISBAIJ(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
22 
23 /*  UGLY, ugly, ugly
24    When MatScalar == PetscScalar the function MatSetValuesBlocked_MPIBAIJ_MatScalar() does
25    not exist. Otherwise ..._MatScalar() takes matrix elements in single precision and
26    inserts them into the single precision data structure. The function MatSetValuesBlocked_MPIBAIJ()
27    converts the entries into single precision and then calls ..._MatScalar() to put them
28    into the single precision data structures.
29 */
30 #if defined(PETSC_USE_MAT_SINGLE)
31 EXTERN PetscErrorCode MatSetValuesBlocked_SeqSBAIJ_MatScalar(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const MatScalar[],InsertMode);
32 EXTERN PetscErrorCode MatSetValues_MPISBAIJ_MatScalar(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const MatScalar[],InsertMode);
33 EXTERN PetscErrorCode MatSetValuesBlocked_MPISBAIJ_MatScalar(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const MatScalar[],InsertMode);
34 EXTERN PetscErrorCode MatSetValues_MPISBAIJ_HT_MatScalar(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const MatScalar[],InsertMode);
35 EXTERN PetscErrorCode MatSetValuesBlocked_MPISBAIJ_HT_MatScalar(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const MatScalar[],InsertMode);
36 #else
37 #define MatSetValuesBlocked_SeqSBAIJ_MatScalar      MatSetValuesBlocked_SeqSBAIJ
38 #define MatSetValues_MPISBAIJ_MatScalar             MatSetValues_MPISBAIJ
39 #define MatSetValuesBlocked_MPISBAIJ_MatScalar      MatSetValuesBlocked_MPISBAIJ
40 #define MatSetValues_MPISBAIJ_HT_MatScalar          MatSetValues_MPISBAIJ_HT
41 #define MatSetValuesBlocked_MPISBAIJ_HT_MatScalar   MatSetValuesBlocked_MPISBAIJ_HT
42 #endif
43 
44 EXTERN_C_BEGIN
45 #undef __FUNCT__
46 #define __FUNCT__ "MatStoreValues_MPISBAIJ"
47 PetscErrorCode PETSCMAT_DLLEXPORT MatStoreValues_MPISBAIJ(Mat mat)
48 {
49   Mat_MPISBAIJ   *aij = (Mat_MPISBAIJ *)mat->data;
50   PetscErrorCode ierr;
51 
52   PetscFunctionBegin;
53   ierr = MatStoreValues(aij->A);CHKERRQ(ierr);
54   ierr = MatStoreValues(aij->B);CHKERRQ(ierr);
55   PetscFunctionReturn(0);
56 }
57 EXTERN_C_END
58 
59 EXTERN_C_BEGIN
60 #undef __FUNCT__
61 #define __FUNCT__ "MatRetrieveValues_MPISBAIJ"
62 PetscErrorCode PETSCMAT_DLLEXPORT MatRetrieveValues_MPISBAIJ(Mat mat)
63 {
64   Mat_MPISBAIJ   *aij = (Mat_MPISBAIJ *)mat->data;
65   PetscErrorCode ierr;
66 
67   PetscFunctionBegin;
68   ierr = MatRetrieveValues(aij->A);CHKERRQ(ierr);
69   ierr = MatRetrieveValues(aij->B);CHKERRQ(ierr);
70   PetscFunctionReturn(0);
71 }
72 EXTERN_C_END
73 
74 
75 #define CHUNKSIZE  10
76 
77 #define  MatSetValues_SeqSBAIJ_A_Private(row,col,value,addv) \
78 { \
79  \
80     brow = row/bs;  \
81     rp   = aj + ai[brow]; ap = aa + bs2*ai[brow]; \
82     rmax = aimax[brow]; nrow = ailen[brow]; \
83       bcol = col/bs; \
84       ridx = row % bs; cidx = col % bs; \
85       low = 0; high = nrow; \
86       while (high-low > 3) { \
87         t = (low+high)/2; \
88         if (rp[t] > bcol) high = t; \
89         else              low  = t; \
90       } \
91       for (_i=low; _i<high; _i++) { \
92         if (rp[_i] > bcol) break; \
93         if (rp[_i] == bcol) { \
94           bap  = ap +  bs2*_i + bs*cidx + ridx; \
95           if (addv == ADD_VALUES) *bap += value;  \
96           else                    *bap  = value;  \
97           goto a_noinsert; \
98         } \
99       } \
100       if (a->nonew == 1) goto a_noinsert; \
101       if (a->nonew == -1) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", row, col); \
102       MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,aimax,a->nonew,MatScalar); \
103       N = nrow++ - 1;  \
104       /* shift up all the later entries in this row */ \
105       for (ii=N; ii>=_i; ii--) { \
106         rp[ii+1] = rp[ii]; \
107         ierr = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
108       } \
109       if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr); }  \
110       rp[_i]                      = bcol;  \
111       ap[bs2*_i + bs*cidx + ridx] = value;  \
112       a_noinsert:; \
113     ailen[brow] = nrow; \
114 }
115 #ifndef MatSetValues_SeqBAIJ_B_Private
116 #define  MatSetValues_SeqSBAIJ_B_Private(row,col,value,addv) \
117 { \
118     brow = row/bs;  \
119     rp   = bj + bi[brow]; ap = ba + bs2*bi[brow]; \
120     rmax = bimax[brow]; nrow = bilen[brow]; \
121       bcol = col/bs; \
122       ridx = row % bs; cidx = col % bs; \
123       low = 0; high = nrow; \
124       while (high-low > 3) { \
125         t = (low+high)/2; \
126         if (rp[t] > bcol) high = t; \
127         else              low  = t; \
128       } \
129       for (_i=low; _i<high; _i++) { \
130         if (rp[_i] > bcol) break; \
131         if (rp[_i] == bcol) { \
132           bap  = ap +  bs2*_i + bs*cidx + ridx; \
133           if (addv == ADD_VALUES) *bap += value;  \
134           else                    *bap  = value;  \
135           goto b_noinsert; \
136         } \
137       } \
138       if (b->nonew == 1) goto b_noinsert; \
139       if (b->nonew == -1) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", row, col); \
140       MatSeqXAIJReallocateAIJ(B,b->mbs,bs2,nrow,brow,bcol,rmax,ba,bi,bj,rp,ap,bimax,b->nonew,MatScalar); \
141       N = nrow++ - 1;  \
142       /* shift up all the later entries in this row */ \
143       for (ii=N; ii>=_i; ii--) { \
144         rp[ii+1] = rp[ii]; \
145         ierr = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
146       } \
147       if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr);}  \
148       rp[_i]                      = bcol;  \
149       ap[bs2*_i + bs*cidx + ridx] = value;  \
150       b_noinsert:; \
151     bilen[brow] = nrow; \
152 }
153 #endif
154 
155 #if defined(PETSC_USE_MAT_SINGLE)
156 #undef __FUNCT__
157 #define __FUNCT__ "MatSetValues_MPISBAIJ"
158 PetscErrorCode MatSetValues_MPISBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
159 {
160   Mat_MPISBAIJ   *b = (Mat_MPISBAIJ*)mat->data;
161   PetscErrorCode ierr;
162   PetscInt       i,N = m*n;
163   MatScalar      *vsingle;
164 
165   PetscFunctionBegin;
166   if (N > b->setvalueslen) {
167     ierr = PetscFree(b->setvaluescopy);CHKERRQ(ierr);
168     ierr = PetscMalloc(N*sizeof(MatScalar),&b->setvaluescopy);CHKERRQ(ierr);
169     b->setvalueslen  = N;
170   }
171   vsingle = b->setvaluescopy;
172 
173   for (i=0; i<N; i++) {
174     vsingle[i] = v[i];
175   }
176   ierr = MatSetValues_MPISBAIJ_MatScalar(mat,m,im,n,in,vsingle,addv);CHKERRQ(ierr);
177   PetscFunctionReturn(0);
178 }
179 
180 #undef __FUNCT__
181 #define __FUNCT__ "MatSetValuesBlocked_MPISBAIJ"
182 PetscErrorCode MatSetValuesBlocked_MPISBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
183 {
184   Mat_MPIBAIJ    *b = (Mat_MPIBAIJ*)mat->data;
185   PetscErrorCode ierr;
186   PetscInt       i,N = m*n*b->bs2;
187   MatScalar      *vsingle;
188 
189   PetscFunctionBegin;
190   if (N > b->setvalueslen) {
191     ierr = PetscFree(b->setvaluescopy);CHKERRQ(ierr);
192     ierr = PetscMalloc(N*sizeof(MatScalar),&b->setvaluescopy);CHKERRQ(ierr);
193     b->setvalueslen  = N;
194   }
195   vsingle = b->setvaluescopy;
196   for (i=0; i<N; i++) {
197     vsingle[i] = v[i];
198   }
199   ierr = MatSetValuesBlocked_MPISBAIJ_MatScalar(mat,m,im,n,in,vsingle,addv);CHKERRQ(ierr);
200   PetscFunctionReturn(0);
201 }
202 #endif
203 
204 /* Only add/insert a(i,j) with i<=j (blocks).
205    Any a(i,j) with i>j input by user is ingored.
206 */
207 #undef __FUNCT__
208 #define __FUNCT__ "MatSetValues_MPISBAIJ_MatScalar"
209 PetscErrorCode MatSetValues_MPISBAIJ_MatScalar(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const MatScalar v[],InsertMode addv)
210 {
211   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
212   MatScalar      value;
213   PetscTruth     roworiented = baij->roworiented;
214   PetscErrorCode ierr;
215   PetscInt       i,j,row,col;
216   PetscInt       rstart_orig=mat->rmap.rstart;
217   PetscInt       rend_orig=mat->rmap.rend,cstart_orig=mat->cmap.rstart;
218   PetscInt       cend_orig=mat->cmap.rend,bs=mat->rmap.bs;
219 
220   /* Some Variables required in the macro */
221   Mat            A = baij->A;
222   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)(A)->data;
223   PetscInt       *aimax=a->imax,*ai=a->i,*ailen=a->ilen,*aj=a->j;
224   MatScalar      *aa=a->a;
225 
226   Mat            B = baij->B;
227   Mat_SeqBAIJ   *b = (Mat_SeqBAIJ*)(B)->data;
228   PetscInt      *bimax=b->imax,*bi=b->i,*bilen=b->ilen,*bj=b->j;
229   MatScalar     *ba=b->a;
230 
231   PetscInt      *rp,ii,nrow,_i,rmax,N,brow,bcol;
232   PetscInt      low,high,t,ridx,cidx,bs2=a->bs2;
233   MatScalar     *ap,*bap;
234 
235   /* for stash */
236   PetscInt      n_loc, *in_loc = PETSC_NULL;
237   MatScalar     *v_loc = PETSC_NULL;
238 
239   PetscFunctionBegin;
240 
241   if (!baij->donotstash){
242     if (n > baij->n_loc) {
243       ierr = PetscFree(baij->in_loc);CHKERRQ(ierr);
244       ierr = PetscFree(baij->v_loc);CHKERRQ(ierr);
245       ierr = PetscMalloc(n*sizeof(PetscInt),&baij->in_loc);CHKERRQ(ierr);
246       ierr = PetscMalloc(n*sizeof(MatScalar),&baij->v_loc);CHKERRQ(ierr);
247       baij->n_loc = n;
248     }
249     in_loc = baij->in_loc;
250     v_loc  = baij->v_loc;
251   }
252 
253   for (i=0; i<m; i++) {
254     if (im[i] < 0) continue;
255 #if defined(PETSC_USE_DEBUG)
256     if (im[i] >= mat->rmap.N) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",im[i],mat->rmap.N-1);
257 #endif
258     if (im[i] >= rstart_orig && im[i] < rend_orig) { /* this processor entry */
259       row = im[i] - rstart_orig;              /* local row index */
260       for (j=0; j<n; j++) {
261         if (im[i]/bs > in[j]/bs){
262           if (a->ignore_ltriangular){
263             continue;    /* ignore lower triangular blocks */
264           } else {
265             SETERRQ(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)");
266           }
267         }
268         if (in[j] >= cstart_orig && in[j] < cend_orig){  /* diag entry (A) */
269           col = in[j] - cstart_orig;          /* local col index */
270           brow = row/bs; bcol = col/bs;
271           if (brow > bcol) continue;  /* ignore lower triangular blocks of A */
272           if (roworiented) value = v[i*n+j]; else value = v[i+j*m];
273           MatSetValues_SeqSBAIJ_A_Private(row,col,value,addv);
274           /* ierr = MatSetValues_SeqBAIJ(baij->A,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
275         } else if (in[j] < 0) continue;
276 #if defined(PETSC_USE_DEBUG)
277         else if (in[j] >= mat->cmap.N) {SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[j],mat->cmap.N-1);}
278 #endif
279         else {  /* off-diag entry (B) */
280           if (mat->was_assembled) {
281             if (!baij->colmap) {
282               ierr = CreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
283             }
284 #if defined (PETSC_USE_CTABLE)
285             ierr = PetscTableFind(baij->colmap,in[j]/bs + 1,&col);CHKERRQ(ierr);
286             col  = col - 1;
287 #else
288             col = baij->colmap[in[j]/bs] - 1;
289 #endif
290             if (col < 0 && !((Mat_SeqSBAIJ*)(baij->A->data))->nonew) {
291               ierr = DisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
292               col =  in[j];
293               /* Reinitialize the variables required by MatSetValues_SeqBAIJ_B_Private() */
294               B = baij->B;
295               b = (Mat_SeqBAIJ*)(B)->data;
296               bimax=b->imax;bi=b->i;bilen=b->ilen;bj=b->j;
297               ba=b->a;
298             } else col += in[j]%bs;
299           } else col = in[j];
300           if (roworiented) value = v[i*n+j]; else value = v[i+j*m];
301           MatSetValues_SeqSBAIJ_B_Private(row,col,value,addv);
302           /* ierr = MatSetValues_SeqBAIJ(baij->B,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
303         }
304       }
305     } else {  /* off processor entry */
306       if (!baij->donotstash) {
307         n_loc = 0;
308         for (j=0; j<n; j++){
309           if (im[i]/bs > in[j]/bs) continue; /* ignore lower triangular blocks */
310           in_loc[n_loc] = in[j];
311           if (roworiented) {
312             v_loc[n_loc] = v[i*n+j];
313           } else {
314             v_loc[n_loc] = v[j*m+i];
315           }
316           n_loc++;
317         }
318         ierr = MatStashValuesRow_Private(&mat->stash,im[i],n_loc,in_loc,v_loc);CHKERRQ(ierr);
319       }
320     }
321   }
322   PetscFunctionReturn(0);
323 }
324 
325 #undef __FUNCT__
326 #define __FUNCT__ "MatSetValuesBlocked_MPISBAIJ_MatScalar"
327 PetscErrorCode MatSetValuesBlocked_MPISBAIJ_MatScalar(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const MatScalar v[],InsertMode addv)
328 {
329   Mat_MPISBAIJ    *baij = (Mat_MPISBAIJ*)mat->data;
330   const MatScalar *value;
331   MatScalar       *barray=baij->barray;
332   PetscTruth      roworiented = baij->roworiented;
333   PetscErrorCode  ierr;
334   PetscInt        i,j,ii,jj,row,col,rstart=baij->rstartbs;
335   PetscInt        rend=baij->rendbs,cstart=baij->rstartbs,stepval;
336   PetscInt        cend=baij->rendbs,bs=mat->rmap.bs,bs2=baij->bs2;
337 
338   PetscFunctionBegin;
339   if(!barray) {
340     ierr         = PetscMalloc(bs2*sizeof(MatScalar),&barray);CHKERRQ(ierr);
341     baij->barray = barray;
342   }
343 
344   if (roworiented) {
345     stepval = (n-1)*bs;
346   } else {
347     stepval = (m-1)*bs;
348   }
349   for (i=0; i<m; i++) {
350     if (im[i] < 0) continue;
351 #if defined(PETSC_USE_DEBUG)
352     if (im[i] >= baij->Mbs) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large, row %D max %D",im[i],baij->Mbs-1);
353 #endif
354     if (im[i] >= rstart && im[i] < rend) {
355       row = im[i] - rstart;
356       for (j=0; j<n; j++) {
357         /* If NumCol = 1 then a copy is not required */
358         if ((roworiented) && (n == 1)) {
359           barray = (MatScalar*) v + i*bs2;
360         } else if((!roworiented) && (m == 1)) {
361           barray = (MatScalar*) v + j*bs2;
362         } else { /* Here a copy is required */
363           if (roworiented) {
364             value = v + i*(stepval+bs)*bs + j*bs;
365           } else {
366             value = v + j*(stepval+bs)*bs + i*bs;
367           }
368           for (ii=0; ii<bs; ii++,value+=stepval) {
369             for (jj=0; jj<bs; jj++) {
370               *barray++  = *value++;
371             }
372           }
373           barray -=bs2;
374         }
375 
376         if (in[j] >= cstart && in[j] < cend){
377           col  = in[j] - cstart;
378           ierr = MatSetValuesBlocked_SeqSBAIJ(baij->A,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
379         }
380         else if (in[j] < 0) continue;
381 #if defined(PETSC_USE_DEBUG)
382         else if (in[j] >= baij->Nbs) {SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large, col %D max %D",in[j],baij->Nbs-1);}
383 #endif
384         else {
385           if (mat->was_assembled) {
386             if (!baij->colmap) {
387               ierr = CreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
388             }
389 
390 #if defined(PETSC_USE_DEBUG)
391 #if defined (PETSC_USE_CTABLE)
392             { PetscInt data;
393               ierr = PetscTableFind(baij->colmap,in[j]+1,&data);CHKERRQ(ierr);
394               if ((data - 1) % bs) SETERRQ(PETSC_ERR_PLIB,"Incorrect colmap");
395             }
396 #else
397             if ((baij->colmap[in[j]] - 1) % bs) SETERRQ(PETSC_ERR_PLIB,"Incorrect colmap");
398 #endif
399 #endif
400 #if defined (PETSC_USE_CTABLE)
401 	    ierr = PetscTableFind(baij->colmap,in[j]+1,&col);CHKERRQ(ierr);
402             col  = (col - 1)/bs;
403 #else
404             col = (baij->colmap[in[j]] - 1)/bs;
405 #endif
406             if (col < 0 && !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
407               ierr = DisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
408               col =  in[j];
409             }
410           }
411           else col = in[j];
412           ierr = MatSetValuesBlocked_SeqBAIJ(baij->B,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
413         }
414       }
415     } else {
416       if (!baij->donotstash) {
417         if (roworiented) {
418           ierr = MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
419         } else {
420           ierr = MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
421         }
422       }
423     }
424   }
425   PetscFunctionReturn(0);
426 }
427 
428 #undef __FUNCT__
429 #define __FUNCT__ "MatGetValues_MPISBAIJ"
430 PetscErrorCode MatGetValues_MPISBAIJ(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],PetscScalar v[])
431 {
432   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
433   PetscErrorCode ierr;
434   PetscInt       bs=mat->rmap.bs,i,j,bsrstart = mat->rmap.rstart,bsrend = mat->rmap.rend;
435   PetscInt       bscstart = mat->cmap.rstart,bscend = mat->cmap.rend,row,col,data;
436 
437   PetscFunctionBegin;
438   for (i=0; i<m; i++) {
439     if (idxm[i] < 0) continue; /* SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",idxm[i]); */
440     if (idxm[i] >= mat->rmap.N) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",idxm[i],mat->rmap.N-1);
441     if (idxm[i] >= bsrstart && idxm[i] < bsrend) {
442       row = idxm[i] - bsrstart;
443       for (j=0; j<n; j++) {
444         if (idxn[j] < 0) continue; /* SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Negative column %D",idxn[j]); */
445         if (idxn[j] >= mat->cmap.N) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",idxn[j],mat->cmap.N-1);
446         if (idxn[j] >= bscstart && idxn[j] < bscend){
447           col = idxn[j] - bscstart;
448           ierr = MatGetValues_SeqSBAIJ(baij->A,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
449         } else {
450           if (!baij->colmap) {
451             ierr = CreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
452           }
453 #if defined (PETSC_USE_CTABLE)
454           ierr = PetscTableFind(baij->colmap,idxn[j]/bs+1,&data);CHKERRQ(ierr);
455           data --;
456 #else
457           data = baij->colmap[idxn[j]/bs]-1;
458 #endif
459           if((data < 0) || (baij->garray[data/bs] != idxn[j]/bs)) *(v+i*n+j) = 0.0;
460           else {
461             col  = data + idxn[j]%bs;
462             ierr = MatGetValues_SeqBAIJ(baij->B,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
463           }
464         }
465       }
466     } else {
467       SETERRQ(PETSC_ERR_SUP,"Only local values currently supported");
468     }
469   }
470  PetscFunctionReturn(0);
471 }
472 
473 #undef __FUNCT__
474 #define __FUNCT__ "MatNorm_MPISBAIJ"
475 PetscErrorCode MatNorm_MPISBAIJ(Mat mat,NormType type,PetscReal *norm)
476 {
477   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
478   PetscErrorCode ierr;
479   PetscReal      sum[2],*lnorm2;
480 
481   PetscFunctionBegin;
482   if (baij->size == 1) {
483     ierr =  MatNorm(baij->A,type,norm);CHKERRQ(ierr);
484   } else {
485     if (type == NORM_FROBENIUS) {
486       ierr = PetscMalloc(2*sizeof(PetscReal),&lnorm2);CHKERRQ(ierr);
487       ierr =  MatNorm(baij->A,type,lnorm2);CHKERRQ(ierr);
488       *lnorm2 = (*lnorm2)*(*lnorm2); lnorm2++;            /* squar power of norm(A) */
489       ierr =  MatNorm(baij->B,type,lnorm2);CHKERRQ(ierr);
490       *lnorm2 = (*lnorm2)*(*lnorm2); lnorm2--;             /* squar power of norm(B) */
491       ierr = MPI_Allreduce(lnorm2,&sum,2,MPIU_REAL,MPI_SUM,mat->comm);CHKERRQ(ierr);
492       *norm = sqrt(sum[0] + 2*sum[1]);
493       ierr = PetscFree(lnorm2);CHKERRQ(ierr);
494     } else if (type == NORM_INFINITY || type == NORM_1) { /* max row/column sum */
495       Mat_SeqSBAIJ *amat=(Mat_SeqSBAIJ*)baij->A->data;
496       Mat_SeqBAIJ  *bmat=(Mat_SeqBAIJ*)baij->B->data;
497       PetscReal    *rsum,*rsum2,vabs;
498       PetscInt     *jj,*garray=baij->garray,rstart=baij->rstartbs,nz;
499       PetscInt     brow,bcol,col,bs=baij->A->rmap.bs,row,grow,gcol,mbs=amat->mbs;
500       MatScalar    *v;
501 
502       ierr  = PetscMalloc((2*mat->cmap.N+1)*sizeof(PetscReal),&rsum);CHKERRQ(ierr);
503       rsum2 = rsum + mat->cmap.N;
504       ierr  = PetscMemzero(rsum,mat->cmap.N*sizeof(PetscReal));CHKERRQ(ierr);
505       /* Amat */
506       v = amat->a; jj = amat->j;
507       for (brow=0; brow<mbs; brow++) {
508         grow = bs*(rstart + brow);
509         nz = amat->i[brow+1] - amat->i[brow];
510         for (bcol=0; bcol<nz; bcol++){
511           gcol = bs*(rstart + *jj); jj++;
512           for (col=0; col<bs; col++){
513             for (row=0; row<bs; row++){
514               vabs = PetscAbsScalar(*v); v++;
515               rsum[gcol+col] += vabs;
516               /* non-diagonal block */
517               if (bcol > 0 && vabs > 0.0) rsum[grow+row] += vabs;
518             }
519           }
520         }
521       }
522       /* Bmat */
523       v = bmat->a; jj = bmat->j;
524       for (brow=0; brow<mbs; brow++) {
525         grow = bs*(rstart + brow);
526         nz = bmat->i[brow+1] - bmat->i[brow];
527         for (bcol=0; bcol<nz; bcol++){
528           gcol = bs*garray[*jj]; jj++;
529           for (col=0; col<bs; col++){
530             for (row=0; row<bs; row++){
531               vabs = PetscAbsScalar(*v); v++;
532               rsum[gcol+col] += vabs;
533               rsum[grow+row] += vabs;
534             }
535           }
536         }
537       }
538       ierr = MPI_Allreduce(rsum,rsum2,mat->cmap.N,MPIU_REAL,MPI_SUM,mat->comm);CHKERRQ(ierr);
539       *norm = 0.0;
540       for (col=0; col<mat->cmap.N; col++) {
541         if (rsum2[col] > *norm) *norm = rsum2[col];
542       }
543       ierr = PetscFree(rsum);CHKERRQ(ierr);
544     } else {
545       SETERRQ(PETSC_ERR_SUP,"No support for this norm yet");
546     }
547   }
548   PetscFunctionReturn(0);
549 }
550 
551 #undef __FUNCT__
552 #define __FUNCT__ "MatAssemblyBegin_MPISBAIJ"
553 PetscErrorCode MatAssemblyBegin_MPISBAIJ(Mat mat,MatAssemblyType mode)
554 {
555   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
556   PetscErrorCode ierr;
557   PetscInt       nstash,reallocs;
558   InsertMode     addv;
559 
560   PetscFunctionBegin;
561   if (baij->donotstash) {
562     PetscFunctionReturn(0);
563   }
564 
565   /* make sure all processors are either in INSERTMODE or ADDMODE */
566   ierr = MPI_Allreduce(&mat->insertmode,&addv,1,MPI_INT,MPI_BOR,mat->comm);CHKERRQ(ierr);
567   if (addv == (ADD_VALUES|INSERT_VALUES)) {
568     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Some processors inserted others added");
569   }
570   mat->insertmode = addv; /* in case this processor had no cache */
571 
572   ierr = MatStashScatterBegin_Private(&mat->stash,mat->rmap.range);CHKERRQ(ierr);
573   ierr = MatStashScatterBegin_Private(&mat->bstash,baij->rangebs);CHKERRQ(ierr);
574   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
575   ierr = PetscInfo2(0,"Stash has %D entries,uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
576   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
577   ierr = PetscInfo2(0,"Block-Stash has %D entries, uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
578   PetscFunctionReturn(0);
579 }
580 
581 #undef __FUNCT__
582 #define __FUNCT__ "MatAssemblyEnd_MPISBAIJ"
583 PetscErrorCode MatAssemblyEnd_MPISBAIJ(Mat mat,MatAssemblyType mode)
584 {
585   Mat_MPISBAIJ   *baij=(Mat_MPISBAIJ*)mat->data;
586   Mat_SeqSBAIJ   *a=(Mat_SeqSBAIJ*)baij->A->data;
587   PetscErrorCode ierr;
588   PetscInt       i,j,rstart,ncols,flg,bs2=baij->bs2;
589   PetscInt       *row,*col,other_disassembled;
590   PetscMPIInt    n;
591   PetscTruth     r1,r2,r3;
592   MatScalar      *val;
593   InsertMode     addv = mat->insertmode;
594 
595   /* do not use 'b=(Mat_SeqBAIJ*)baij->B->data' as B can be reset in disassembly */
596   PetscFunctionBegin;
597 
598   if (!baij->donotstash) {
599     while (1) {
600       ierr = MatStashScatterGetMesg_Private(&mat->stash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
601       if (!flg) break;
602 
603       for (i=0; i<n;) {
604         /* Now identify the consecutive vals belonging to the same row */
605         for (j=i,rstart=row[j]; j<n; j++) { if (row[j] != rstart) break; }
606         if (j < n) ncols = j-i;
607         else       ncols = n-i;
608         /* Now assemble all these values with a single function call */
609         ierr = MatSetValues_MPISBAIJ_MatScalar(mat,1,row+i,ncols,col+i,val+i,addv);CHKERRQ(ierr);
610         i = j;
611       }
612     }
613     ierr = MatStashScatterEnd_Private(&mat->stash);CHKERRQ(ierr);
614     /* Now process the block-stash. Since the values are stashed column-oriented,
615        set the roworiented flag to column oriented, and after MatSetValues()
616        restore the original flags */
617     r1 = baij->roworiented;
618     r2 = a->roworiented;
619     r3 = ((Mat_SeqBAIJ*)baij->B->data)->roworiented;
620     baij->roworiented = PETSC_FALSE;
621     a->roworiented    = PETSC_FALSE;
622     ((Mat_SeqBAIJ*)baij->B->data)->roworiented    = PETSC_FALSE; /* b->roworinted */
623     while (1) {
624       ierr = MatStashScatterGetMesg_Private(&mat->bstash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
625       if (!flg) break;
626 
627       for (i=0; i<n;) {
628         /* Now identify the consecutive vals belonging to the same row */
629         for (j=i,rstart=row[j]; j<n; j++) { if (row[j] != rstart) break; }
630         if (j < n) ncols = j-i;
631         else       ncols = n-i;
632         ierr = MatSetValuesBlocked_MPISBAIJ_MatScalar(mat,1,row+i,ncols,col+i,val+i*bs2,addv);CHKERRQ(ierr);
633         i = j;
634       }
635     }
636     ierr = MatStashScatterEnd_Private(&mat->bstash);CHKERRQ(ierr);
637     baij->roworiented = r1;
638     a->roworiented    = r2;
639     ((Mat_SeqBAIJ*)baij->B->data)->roworiented    = r3; /* b->roworinted */
640   }
641 
642   ierr = MatAssemblyBegin(baij->A,mode);CHKERRQ(ierr);
643   ierr = MatAssemblyEnd(baij->A,mode);CHKERRQ(ierr);
644 
645   /* determine if any processor has disassembled, if so we must
646      also disassemble ourselfs, in order that we may reassemble. */
647   /*
648      if nonzero structure of submatrix B cannot change then we know that
649      no processor disassembled thus we can skip this stuff
650   */
651   if (!((Mat_SeqBAIJ*)baij->B->data)->nonew)  {
652     ierr = MPI_Allreduce(&mat->was_assembled,&other_disassembled,1,MPI_INT,MPI_PROD,mat->comm);CHKERRQ(ierr);
653     if (mat->was_assembled && !other_disassembled) {
654       ierr = DisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
655     }
656   }
657 
658   if (!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) {
659     ierr = MatSetUpMultiply_MPISBAIJ(mat);CHKERRQ(ierr); /* setup Mvctx and sMvctx */
660   }
661   ((Mat_SeqBAIJ*)baij->B->data)->compressedrow.use = PETSC_TRUE; /* b->compressedrow.use */
662   ierr = MatAssemblyBegin(baij->B,mode);CHKERRQ(ierr);
663   ierr = MatAssemblyEnd(baij->B,mode);CHKERRQ(ierr);
664 
665   ierr = PetscFree(baij->rowvalues);CHKERRQ(ierr);
666   baij->rowvalues = 0;
667 
668   PetscFunctionReturn(0);
669 }
670 
671 extern PetscErrorCode MatSetValues_MPIBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const MatScalar[],InsertMode);
672 #undef __FUNCT__
673 #define __FUNCT__ "MatView_MPISBAIJ_ASCIIorDraworSocket"
674 static PetscErrorCode MatView_MPISBAIJ_ASCIIorDraworSocket(Mat mat,PetscViewer viewer)
675 {
676   Mat_MPISBAIJ      *baij = (Mat_MPISBAIJ*)mat->data;
677   PetscErrorCode    ierr;
678   PetscInt          bs = mat->rmap.bs;
679   PetscMPIInt       size = baij->size,rank = baij->rank;
680   PetscTruth        iascii,isdraw;
681   PetscViewer       sviewer;
682   PetscViewerFormat format;
683 
684   PetscFunctionBegin;
685   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&iascii);CHKERRQ(ierr);
686   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_DRAW,&isdraw);CHKERRQ(ierr);
687   if (iascii) {
688     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
689     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
690       MatInfo info;
691       ierr = MPI_Comm_rank(mat->comm,&rank);CHKERRQ(ierr);
692       ierr = MatGetInfo(mat,MAT_LOCAL,&info);CHKERRQ(ierr);
693       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] Local rows %D nz %D nz alloced %D bs %D mem %D\n",
694               rank,mat->rmap.N,(PetscInt)info.nz_used*bs,(PetscInt)info.nz_allocated*bs,
695               mat->rmap.bs,(PetscInt)info.memory);CHKERRQ(ierr);
696       ierr = MatGetInfo(baij->A,MAT_LOCAL,&info);CHKERRQ(ierr);
697       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] on-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used*bs);CHKERRQ(ierr);
698       ierr = MatGetInfo(baij->B,MAT_LOCAL,&info);CHKERRQ(ierr);
699       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] off-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used*bs);CHKERRQ(ierr);
700       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
701       ierr = PetscViewerASCIIPrintf(viewer,"Information on VecScatter used in matrix-vector product: \n");CHKERRQ(ierr);
702       ierr = VecScatterView(baij->Mvctx,viewer);CHKERRQ(ierr);
703       PetscFunctionReturn(0);
704     } else if (format == PETSC_VIEWER_ASCII_INFO) {
705       ierr = PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);CHKERRQ(ierr);
706       PetscFunctionReturn(0);
707     } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
708       PetscFunctionReturn(0);
709     }
710   }
711 
712   if (isdraw) {
713     PetscDraw  draw;
714     PetscTruth isnull;
715     ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
716     ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
717   }
718 
719   if (size == 1) {
720     ierr = PetscObjectSetName((PetscObject)baij->A,mat->name);CHKERRQ(ierr);
721     ierr = MatView(baij->A,viewer);CHKERRQ(ierr);
722   } else {
723     /* assemble the entire matrix onto first processor. */
724     Mat          A;
725     Mat_SeqSBAIJ *Aloc;
726     Mat_SeqBAIJ  *Bloc;
727     PetscInt     M = mat->rmap.N,N = mat->cmap.N,*ai,*aj,col,i,j,k,*rvals,mbs = baij->mbs;
728     MatScalar    *a;
729 
730     /* Should this be the same type as mat? */
731     ierr = MatCreate(mat->comm,&A);CHKERRQ(ierr);
732     if (!rank) {
733       ierr = MatSetSizes(A,M,N,M,N);CHKERRQ(ierr);
734     } else {
735       ierr = MatSetSizes(A,0,0,M,N);CHKERRQ(ierr);
736     }
737     ierr = MatSetType(A,MATMPISBAIJ);CHKERRQ(ierr);
738     ierr = MatMPISBAIJSetPreallocation(A,mat->rmap.bs,0,PETSC_NULL,0,PETSC_NULL);CHKERRQ(ierr);
739     ierr = PetscLogObjectParent(mat,A);CHKERRQ(ierr);
740 
741     /* copy over the A part */
742     Aloc  = (Mat_SeqSBAIJ*)baij->A->data;
743     ai    = Aloc->i; aj = Aloc->j; a = Aloc->a;
744     ierr  = PetscMalloc(bs*sizeof(PetscInt),&rvals);CHKERRQ(ierr);
745 
746     for (i=0; i<mbs; i++) {
747       rvals[0] = bs*(baij->rstartbs + i);
748       for (j=1; j<bs; j++) { rvals[j] = rvals[j-1] + 1; }
749       for (j=ai[i]; j<ai[i+1]; j++) {
750         col = (baij->cstartbs+aj[j])*bs;
751         for (k=0; k<bs; k++) {
752           ierr = MatSetValues_MPISBAIJ_MatScalar(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
753           col++; a += bs;
754         }
755       }
756     }
757     /* copy over the B part */
758     Bloc = (Mat_SeqBAIJ*)baij->B->data;
759     ai = Bloc->i; aj = Bloc->j; a = Bloc->a;
760     for (i=0; i<mbs; i++) {
761 
762       rvals[0] = bs*(baij->rstartbs + i);
763       for (j=1; j<bs; j++) { rvals[j] = rvals[j-1] + 1; }
764       for (j=ai[i]; j<ai[i+1]; j++) {
765         col = baij->garray[aj[j]]*bs;
766         for (k=0; k<bs; k++) {
767           ierr = MatSetValues_MPIBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
768           col++; a += bs;
769         }
770       }
771     }
772     ierr = PetscFree(rvals);CHKERRQ(ierr);
773     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
774     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
775     /*
776        Everyone has to call to draw the matrix since the graphics waits are
777        synchronized across all processors that share the PetscDraw object
778     */
779     ierr = PetscViewerGetSingleton(viewer,&sviewer);CHKERRQ(ierr);
780     if (!rank) {
781       ierr = PetscObjectSetName((PetscObject)((Mat_MPISBAIJ*)(A->data))->A,mat->name);CHKERRQ(ierr);
782       ierr = MatView(((Mat_MPISBAIJ*)(A->data))->A,sviewer);CHKERRQ(ierr);
783     }
784     ierr = PetscViewerRestoreSingleton(viewer,&sviewer);CHKERRQ(ierr);
785     ierr = MatDestroy(A);CHKERRQ(ierr);
786   }
787   PetscFunctionReturn(0);
788 }
789 
790 #undef __FUNCT__
791 #define __FUNCT__ "MatView_MPISBAIJ"
792 PetscErrorCode MatView_MPISBAIJ(Mat mat,PetscViewer viewer)
793 {
794   PetscErrorCode ierr;
795   PetscTruth     iascii,isdraw,issocket,isbinary;
796 
797   PetscFunctionBegin;
798   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&iascii);CHKERRQ(ierr);
799   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_DRAW,&isdraw);CHKERRQ(ierr);
800   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_SOCKET,&issocket);CHKERRQ(ierr);
801   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_BINARY,&isbinary);CHKERRQ(ierr);
802   if (iascii || isdraw || issocket || isbinary) {
803     ierr = MatView_MPISBAIJ_ASCIIorDraworSocket(mat,viewer);CHKERRQ(ierr);
804   } else {
805     SETERRQ1(PETSC_ERR_SUP,"Viewer type %s not supported by MPISBAIJ matrices",((PetscObject)viewer)->type_name);
806   }
807   PetscFunctionReturn(0);
808 }
809 
810 #undef __FUNCT__
811 #define __FUNCT__ "MatDestroy_MPISBAIJ"
812 PetscErrorCode MatDestroy_MPISBAIJ(Mat mat)
813 {
814   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
815   PetscErrorCode ierr;
816 
817   PetscFunctionBegin;
818 #if defined(PETSC_USE_LOG)
819   PetscLogObjectState((PetscObject)mat,"Rows=%D,Cols=%D",mat->rmap.N,mat->cmap.N);
820 #endif
821   ierr = MatStashDestroy_Private(&mat->stash);CHKERRQ(ierr);
822   ierr = MatStashDestroy_Private(&mat->bstash);CHKERRQ(ierr);
823   ierr = MatDestroy(baij->A);CHKERRQ(ierr);
824   ierr = MatDestroy(baij->B);CHKERRQ(ierr);
825 #if defined (PETSC_USE_CTABLE)
826   if (baij->colmap) {ierr = PetscTableDestroy(baij->colmap);CHKERRQ(ierr);}
827 #else
828   ierr = PetscFree(baij->colmap);CHKERRQ(ierr);
829 #endif
830   ierr = PetscFree(baij->garray);CHKERRQ(ierr);
831   if (baij->lvec)   {ierr = VecDestroy(baij->lvec);CHKERRQ(ierr);}
832   if (baij->Mvctx)  {ierr = VecScatterDestroy(baij->Mvctx);CHKERRQ(ierr);}
833   if (baij->slvec0) {
834     ierr = VecDestroy(baij->slvec0);CHKERRQ(ierr);
835     ierr = VecDestroy(baij->slvec0b);CHKERRQ(ierr);
836   }
837   if (baij->slvec1) {
838     ierr = VecDestroy(baij->slvec1);CHKERRQ(ierr);
839     ierr = VecDestroy(baij->slvec1a);CHKERRQ(ierr);
840     ierr = VecDestroy(baij->slvec1b);CHKERRQ(ierr);
841   }
842   if (baij->sMvctx)  {ierr = VecScatterDestroy(baij->sMvctx);CHKERRQ(ierr);}
843   ierr = PetscFree(baij->rowvalues);CHKERRQ(ierr);
844   ierr = PetscFree(baij->barray);CHKERRQ(ierr);
845   ierr = PetscFree(baij->hd);CHKERRQ(ierr);
846 #if defined(PETSC_USE_MAT_SINGLE)
847   ierr = PetscFree(baij->setvaluescopy);CHKERRQ(ierr);
848 #endif
849   ierr = PetscFree(baij->in_loc);CHKERRQ(ierr);
850   ierr = PetscFree(baij->v_loc);CHKERRQ(ierr);
851   ierr = PetscFree(baij->rangebs);CHKERRQ(ierr);
852   ierr = PetscFree(baij);CHKERRQ(ierr);
853 
854   ierr = PetscObjectChangeTypeName((PetscObject)mat,0);CHKERRQ(ierr);
855   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatStoreValues_C","",PETSC_NULL);CHKERRQ(ierr);
856   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatRetrieveValues_C","",PETSC_NULL);CHKERRQ(ierr);
857   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatGetDiagonalBlock_C","",PETSC_NULL);CHKERRQ(ierr);
858   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatMPISBAIJSetPreallocation_C","",PETSC_NULL);CHKERRQ(ierr);
859   PetscFunctionReturn(0);
860 }
861 
862 #undef __FUNCT__
863 #define __FUNCT__ "MatMult_MPISBAIJ"
864 PetscErrorCode MatMult_MPISBAIJ(Mat A,Vec xx,Vec yy)
865 {
866   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
867   PetscErrorCode ierr;
868   PetscInt       nt,mbs=a->mbs,bs=A->rmap.bs;
869   PetscScalar    *x,*from,zero=0.0;
870 
871   PetscFunctionBegin;
872   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
873   if (nt != A->cmap.n) {
874     SETERRQ(PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
875   }
876 
877   /* diagonal part */
878   ierr = (*a->A->ops->mult)(a->A,xx,a->slvec1a);CHKERRQ(ierr);
879   ierr = VecSet(a->slvec1b,zero);CHKERRQ(ierr);
880 
881   /* subdiagonal part */
882   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
883   CHKMEMQ;
884   /* copy x into the vec slvec0 */
885   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
886   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
887   CHKMEMQ;
888   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
889   CHKMEMQ;
890   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
891 
892   CHKMEMQ;
893   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
894   CHKMEMQ;
895   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
896   CHKMEMQ;
897   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
898     CHKMEMQ;
899   /* supperdiagonal part */
900   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,yy);CHKERRQ(ierr);
901     CHKMEMQ;
902   PetscFunctionReturn(0);
903 }
904 
905 #undef __FUNCT__
906 #define __FUNCT__ "MatMult_MPISBAIJ_2comm"
907 PetscErrorCode MatMult_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy)
908 {
909   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
910   PetscErrorCode ierr;
911   PetscInt       nt;
912 
913   PetscFunctionBegin;
914   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
915   if (nt != A->cmap.n) {
916     SETERRQ(PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
917   }
918   ierr = VecGetLocalSize(yy,&nt);CHKERRQ(ierr);
919   if (nt != A->rmap.N) {
920     SETERRQ(PETSC_ERR_ARG_SIZ,"Incompatible parition of A and yy");
921   }
922 
923   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
924   /* do diagonal part */
925   ierr = (*a->A->ops->mult)(a->A,xx,yy);CHKERRQ(ierr);
926   /* do supperdiagonal part */
927   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
928   ierr = (*a->B->ops->multadd)(a->B,a->lvec,yy,yy);CHKERRQ(ierr);
929   /* do subdiagonal part */
930   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
931   ierr = VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
932   ierr = VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
933 
934   PetscFunctionReturn(0);
935 }
936 
937 #undef __FUNCT__
938 #define __FUNCT__ "MatMultAdd_MPISBAIJ"
939 PetscErrorCode MatMultAdd_MPISBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
940 {
941   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
942   PetscErrorCode ierr;
943   PetscInt       mbs=a->mbs,bs=A->rmap.bs;
944   PetscScalar    *x,*from,zero=0.0;
945 
946   PetscFunctionBegin;
947   /*
948   PetscSynchronizedPrintf(A->comm," MatMultAdd is called ...\n");
949   PetscSynchronizedFlush(A->comm);
950   */
951   /* diagonal part */
952   ierr = (*a->A->ops->multadd)(a->A,xx,yy,a->slvec1a);CHKERRQ(ierr);
953   ierr = VecSet(a->slvec1b,zero);CHKERRQ(ierr);
954 
955   /* subdiagonal part */
956   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
957 
958   /* copy x into the vec slvec0 */
959   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
960   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
961   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
962   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
963 
964   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
965   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
966   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
967 
968   /* supperdiagonal part */
969   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,zz);CHKERRQ(ierr);
970 
971   PetscFunctionReturn(0);
972 }
973 
974 #undef __FUNCT__
975 #define __FUNCT__ "MatMultAdd_MPISBAIJ_2comm"
976 PetscErrorCode MatMultAdd_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy,Vec zz)
977 {
978   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
979   PetscErrorCode ierr;
980 
981   PetscFunctionBegin;
982   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
983   /* do diagonal part */
984   ierr = (*a->A->ops->multadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
985   /* do supperdiagonal part */
986   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
987   ierr = (*a->B->ops->multadd)(a->B,a->lvec,zz,zz);CHKERRQ(ierr);
988 
989   /* do subdiagonal part */
990   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
991   ierr = VecScatterBegin(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
992   ierr = VecScatterEnd(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
993 
994   PetscFunctionReturn(0);
995 }
996 
997 /*
998   This only works correctly for square matrices where the subblock A->A is the
999    diagonal block
1000 */
1001 #undef __FUNCT__
1002 #define __FUNCT__ "MatGetDiagonal_MPISBAIJ"
1003 PetscErrorCode MatGetDiagonal_MPISBAIJ(Mat A,Vec v)
1004 {
1005   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1006   PetscErrorCode ierr;
1007 
1008   PetscFunctionBegin;
1009   /* if (a->rmap.N != a->cmap.N) SETERRQ(PETSC_ERR_SUP,"Supports only square matrix where A->A is diag block"); */
1010   ierr = MatGetDiagonal(a->A,v);CHKERRQ(ierr);
1011   PetscFunctionReturn(0);
1012 }
1013 
1014 #undef __FUNCT__
1015 #define __FUNCT__ "MatScale_MPISBAIJ"
1016 PetscErrorCode MatScale_MPISBAIJ(Mat A,PetscScalar aa)
1017 {
1018   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1019   PetscErrorCode ierr;
1020 
1021   PetscFunctionBegin;
1022   ierr = MatScale(a->A,aa);CHKERRQ(ierr);
1023   ierr = MatScale(a->B,aa);CHKERRQ(ierr);
1024   PetscFunctionReturn(0);
1025 }
1026 
1027 #undef __FUNCT__
1028 #define __FUNCT__ "MatGetRow_MPISBAIJ"
1029 PetscErrorCode MatGetRow_MPISBAIJ(Mat matin,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1030 {
1031   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
1032   PetscScalar    *vworkA,*vworkB,**pvA,**pvB,*v_p;
1033   PetscErrorCode ierr;
1034   PetscInt       bs = matin->rmap.bs,bs2 = mat->bs2,i,*cworkA,*cworkB,**pcA,**pcB;
1035   PetscInt       nztot,nzA,nzB,lrow,brstart = matin->rmap.rstart,brend = matin->rmap.rend;
1036   PetscInt       *cmap,*idx_p,cstart = mat->rstartbs;
1037 
1038   PetscFunctionBegin;
1039   if (mat->getrowactive == PETSC_TRUE) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Already active");
1040   mat->getrowactive = PETSC_TRUE;
1041 
1042   if (!mat->rowvalues && (idx || v)) {
1043     /*
1044         allocate enough space to hold information from the longest row.
1045     */
1046     Mat_SeqSBAIJ *Aa = (Mat_SeqSBAIJ*)mat->A->data;
1047     Mat_SeqBAIJ  *Ba = (Mat_SeqBAIJ*)mat->B->data;
1048     PetscInt     max = 1,mbs = mat->mbs,tmp;
1049     for (i=0; i<mbs; i++) {
1050       tmp = Aa->i[i+1] - Aa->i[i] + Ba->i[i+1] - Ba->i[i]; /* row length */
1051       if (max < tmp) { max = tmp; }
1052     }
1053     ierr = PetscMalloc(max*bs2*(sizeof(PetscInt)+sizeof(PetscScalar)),&mat->rowvalues);CHKERRQ(ierr);
1054     mat->rowindices = (PetscInt*)(mat->rowvalues + max*bs2);
1055   }
1056 
1057   if (row < brstart || row >= brend) SETERRQ(PETSC_ERR_SUP,"Only local rows")
1058   lrow = row - brstart;  /* local row index */
1059 
1060   pvA = &vworkA; pcA = &cworkA; pvB = &vworkB; pcB = &cworkB;
1061   if (!v)   {pvA = 0; pvB = 0;}
1062   if (!idx) {pcA = 0; if (!v) pcB = 0;}
1063   ierr = (*mat->A->ops->getrow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1064   ierr = (*mat->B->ops->getrow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1065   nztot = nzA + nzB;
1066 
1067   cmap  = mat->garray;
1068   if (v  || idx) {
1069     if (nztot) {
1070       /* Sort by increasing column numbers, assuming A and B already sorted */
1071       PetscInt imark = -1;
1072       if (v) {
1073         *v = v_p = mat->rowvalues;
1074         for (i=0; i<nzB; i++) {
1075           if (cmap[cworkB[i]/bs] < cstart)   v_p[i] = vworkB[i];
1076           else break;
1077         }
1078         imark = i;
1079         for (i=0; i<nzA; i++)     v_p[imark+i] = vworkA[i];
1080         for (i=imark; i<nzB; i++) v_p[nzA+i]   = vworkB[i];
1081       }
1082       if (idx) {
1083         *idx = idx_p = mat->rowindices;
1084         if (imark > -1) {
1085           for (i=0; i<imark; i++) {
1086             idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1087           }
1088         } else {
1089           for (i=0; i<nzB; i++) {
1090             if (cmap[cworkB[i]/bs] < cstart)
1091               idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1092             else break;
1093           }
1094           imark = i;
1095         }
1096         for (i=0; i<nzA; i++)     idx_p[imark+i] = cstart*bs + cworkA[i];
1097         for (i=imark; i<nzB; i++) idx_p[nzA+i]   = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1098       }
1099     } else {
1100       if (idx) *idx = 0;
1101       if (v)   *v   = 0;
1102     }
1103   }
1104   *nz = nztot;
1105   ierr = (*mat->A->ops->restorerow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1106   ierr = (*mat->B->ops->restorerow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1107   PetscFunctionReturn(0);
1108 }
1109 
1110 #undef __FUNCT__
1111 #define __FUNCT__ "MatRestoreRow_MPISBAIJ"
1112 PetscErrorCode MatRestoreRow_MPISBAIJ(Mat mat,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1113 {
1114   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
1115 
1116   PetscFunctionBegin;
1117   if (!baij->getrowactive) {
1118     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"MatGetRow() must be called first");
1119   }
1120   baij->getrowactive = PETSC_FALSE;
1121   PetscFunctionReturn(0);
1122 }
1123 
1124 #undef __FUNCT__
1125 #define __FUNCT__ "MatGetRowUpperTriangular_MPISBAIJ"
1126 PetscErrorCode MatGetRowUpperTriangular_MPISBAIJ(Mat A)
1127 {
1128   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1129   Mat_SeqSBAIJ   *aA = (Mat_SeqSBAIJ*)a->A->data;
1130 
1131   PetscFunctionBegin;
1132   aA->getrow_utriangular = PETSC_TRUE;
1133   PetscFunctionReturn(0);
1134 }
1135 #undef __FUNCT__
1136 #define __FUNCT__ "MatRestoreRowUpperTriangular_MPISBAIJ"
1137 PetscErrorCode MatRestoreRowUpperTriangular_MPISBAIJ(Mat A)
1138 {
1139   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1140   Mat_SeqSBAIJ   *aA = (Mat_SeqSBAIJ*)a->A->data;
1141 
1142   PetscFunctionBegin;
1143   aA->getrow_utriangular = PETSC_FALSE;
1144   PetscFunctionReturn(0);
1145 }
1146 
1147 #undef __FUNCT__
1148 #define __FUNCT__ "MatRealPart_MPISBAIJ"
1149 PetscErrorCode MatRealPart_MPISBAIJ(Mat A)
1150 {
1151   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1152   PetscErrorCode ierr;
1153 
1154   PetscFunctionBegin;
1155   ierr = MatRealPart(a->A);CHKERRQ(ierr);
1156   ierr = MatRealPart(a->B);CHKERRQ(ierr);
1157   PetscFunctionReturn(0);
1158 }
1159 
1160 #undef __FUNCT__
1161 #define __FUNCT__ "MatImaginaryPart_MPISBAIJ"
1162 PetscErrorCode MatImaginaryPart_MPISBAIJ(Mat A)
1163 {
1164   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1165   PetscErrorCode ierr;
1166 
1167   PetscFunctionBegin;
1168   ierr = MatImaginaryPart(a->A);CHKERRQ(ierr);
1169   ierr = MatImaginaryPart(a->B);CHKERRQ(ierr);
1170   PetscFunctionReturn(0);
1171 }
1172 
1173 #undef __FUNCT__
1174 #define __FUNCT__ "MatZeroEntries_MPISBAIJ"
1175 PetscErrorCode MatZeroEntries_MPISBAIJ(Mat A)
1176 {
1177   Mat_MPISBAIJ   *l = (Mat_MPISBAIJ*)A->data;
1178   PetscErrorCode ierr;
1179 
1180   PetscFunctionBegin;
1181   ierr = MatZeroEntries(l->A);CHKERRQ(ierr);
1182   ierr = MatZeroEntries(l->B);CHKERRQ(ierr);
1183   PetscFunctionReturn(0);
1184 }
1185 
1186 #undef __FUNCT__
1187 #define __FUNCT__ "MatGetInfo_MPISBAIJ"
1188 PetscErrorCode MatGetInfo_MPISBAIJ(Mat matin,MatInfoType flag,MatInfo *info)
1189 {
1190   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)matin->data;
1191   Mat            A = a->A,B = a->B;
1192   PetscErrorCode ierr;
1193   PetscReal      isend[5],irecv[5];
1194 
1195   PetscFunctionBegin;
1196   info->block_size     = (PetscReal)matin->rmap.bs;
1197   ierr = MatGetInfo(A,MAT_LOCAL,info);CHKERRQ(ierr);
1198   isend[0] = info->nz_used; isend[1] = info->nz_allocated; isend[2] = info->nz_unneeded;
1199   isend[3] = info->memory;  isend[4] = info->mallocs;
1200   ierr = MatGetInfo(B,MAT_LOCAL,info);CHKERRQ(ierr);
1201   isend[0] += info->nz_used; isend[1] += info->nz_allocated; isend[2] += info->nz_unneeded;
1202   isend[3] += info->memory;  isend[4] += info->mallocs;
1203   if (flag == MAT_LOCAL) {
1204     info->nz_used      = isend[0];
1205     info->nz_allocated = isend[1];
1206     info->nz_unneeded  = isend[2];
1207     info->memory       = isend[3];
1208     info->mallocs      = isend[4];
1209   } else if (flag == MAT_GLOBAL_MAX) {
1210     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPI_MAX,matin->comm);CHKERRQ(ierr);
1211     info->nz_used      = irecv[0];
1212     info->nz_allocated = irecv[1];
1213     info->nz_unneeded  = irecv[2];
1214     info->memory       = irecv[3];
1215     info->mallocs      = irecv[4];
1216   } else if (flag == MAT_GLOBAL_SUM) {
1217     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPI_SUM,matin->comm);CHKERRQ(ierr);
1218     info->nz_used      = irecv[0];
1219     info->nz_allocated = irecv[1];
1220     info->nz_unneeded  = irecv[2];
1221     info->memory       = irecv[3];
1222     info->mallocs      = irecv[4];
1223   } else {
1224     SETERRQ1(PETSC_ERR_ARG_WRONG,"Unknown MatInfoType argument %d",(int)flag);
1225   }
1226   info->rows_global       = (PetscReal)A->rmap.N;
1227   info->columns_global    = (PetscReal)A->cmap.N;
1228   info->rows_local        = (PetscReal)A->rmap.N;
1229   info->columns_local     = (PetscReal)A->cmap.N;
1230   info->fill_ratio_given  = 0; /* no parallel LU/ILU/Cholesky */
1231   info->fill_ratio_needed = 0;
1232   info->factor_mallocs    = 0;
1233   PetscFunctionReturn(0);
1234 }
1235 
1236 #undef __FUNCT__
1237 #define __FUNCT__ "MatSetOption_MPISBAIJ"
1238 PetscErrorCode MatSetOption_MPISBAIJ(Mat A,MatOption op,PetscTruth flg)
1239 {
1240   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1241   Mat_SeqSBAIJ   *aA = (Mat_SeqSBAIJ*)a->A->data;
1242   PetscErrorCode ierr;
1243 
1244   PetscFunctionBegin;
1245   switch (op) {
1246   case MAT_NO_NEW_NONZERO_LOCATIONS:
1247   case MAT_COLUMNS_SORTED:
1248   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1249   case MAT_KEEP_ZEROED_ROWS:
1250   case MAT_NEW_NONZERO_LOCATION_ERR:
1251     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1252     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1253     break;
1254   case MAT_ROW_ORIENTED:
1255     a->roworiented = flg;
1256     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1257     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1258     break;
1259   case MAT_ROWS_SORTED:
1260   case MAT_NEW_DIAGONALS:
1261     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1262     break;
1263   case MAT_IGNORE_OFF_PROC_ENTRIES:
1264     a->donotstash = flg;
1265     break;
1266   case MAT_USE_HASH_TABLE:
1267     a->ht_flag = flg;
1268     break;
1269   case MAT_HERMITIAN:
1270     if (flg) SETERRQ(PETSC_ERR_SUP,"Matrix must be symmetric");
1271   case MAT_SYMMETRIC:
1272   case MAT_STRUCTURALLY_SYMMETRIC:
1273   case MAT_SYMMETRY_ETERNAL:
1274     if (!flg) SETERRQ(PETSC_ERR_SUP,"Matrix must be symmetric");
1275     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1276     break;
1277   case MAT_IGNORE_LOWER_TRIANGULAR:
1278     aA->ignore_ltriangular = flg;
1279     break;
1280   case MAT_ERROR_LOWER_TRIANGULAR:
1281     aA->ignore_ltriangular = flg;
1282     break;
1283   case MAT_GETROW_UPPERTRIANGULAR:
1284     aA->getrow_utriangular = flg;
1285     break;
1286   default:
1287     SETERRQ1(PETSC_ERR_SUP,"unknown option %d",op);
1288   }
1289   PetscFunctionReturn(0);
1290 }
1291 
1292 #undef __FUNCT__
1293 #define __FUNCT__ "MatTranspose_MPISBAIJ"
1294 PetscErrorCode MatTranspose_MPISBAIJ(Mat A,Mat *B)
1295 {
1296   PetscErrorCode ierr;
1297   PetscFunctionBegin;
1298   ierr = MatDuplicate(A,MAT_COPY_VALUES,B);CHKERRQ(ierr);
1299   PetscFunctionReturn(0);
1300 }
1301 
1302 #undef __FUNCT__
1303 #define __FUNCT__ "MatDiagonalScale_MPISBAIJ"
1304 PetscErrorCode MatDiagonalScale_MPISBAIJ(Mat mat,Vec ll,Vec rr)
1305 {
1306   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
1307   Mat            a=baij->A, b=baij->B;
1308   PetscErrorCode ierr;
1309   PetscInt       nv,m,n;
1310   PetscTruth     flg;
1311 
1312   PetscFunctionBegin;
1313   if (ll != rr){
1314     ierr = VecEqual(ll,rr,&flg);CHKERRQ(ierr);
1315     if (!flg)
1316       SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"For symmetric format, left and right scaling vectors must be same\n");
1317   }
1318   if (!ll) PetscFunctionReturn(0);
1319 
1320   ierr = MatGetLocalSize(mat,&m,&n);CHKERRQ(ierr);
1321   if (m != n) SETERRQ2(PETSC_ERR_ARG_SIZ,"For symmetric format, local size %d %d must be same",m,n);
1322 
1323   ierr = VecGetLocalSize(rr,&nv);CHKERRQ(ierr);
1324   if (nv!=n) SETERRQ(PETSC_ERR_ARG_SIZ,"Left and right vector non-conforming local size");
1325 
1326   ierr = VecScatterBegin(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1327 
1328   /* left diagonalscale the off-diagonal part */
1329   ierr = (*b->ops->diagonalscale)(b,ll,PETSC_NULL);CHKERRQ(ierr);
1330 
1331   /* scale the diagonal part */
1332   ierr = (*a->ops->diagonalscale)(a,ll,rr);CHKERRQ(ierr);
1333 
1334   /* right diagonalscale the off-diagonal part */
1335   ierr = VecScatterEnd(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1336   ierr = (*b->ops->diagonalscale)(b,PETSC_NULL,baij->lvec);CHKERRQ(ierr);
1337   PetscFunctionReturn(0);
1338 }
1339 
1340 #undef __FUNCT__
1341 #define __FUNCT__ "MatSetUnfactored_MPISBAIJ"
1342 PetscErrorCode MatSetUnfactored_MPISBAIJ(Mat A)
1343 {
1344   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1345   PetscErrorCode ierr;
1346 
1347   PetscFunctionBegin;
1348   ierr = MatSetUnfactored(a->A);CHKERRQ(ierr);
1349   PetscFunctionReturn(0);
1350 }
1351 
1352 static PetscErrorCode MatDuplicate_MPISBAIJ(Mat,MatDuplicateOption,Mat *);
1353 
1354 #undef __FUNCT__
1355 #define __FUNCT__ "MatEqual_MPISBAIJ"
1356 PetscErrorCode MatEqual_MPISBAIJ(Mat A,Mat B,PetscTruth *flag)
1357 {
1358   Mat_MPISBAIJ   *matB = (Mat_MPISBAIJ*)B->data,*matA = (Mat_MPISBAIJ*)A->data;
1359   Mat            a,b,c,d;
1360   PetscTruth     flg;
1361   PetscErrorCode ierr;
1362 
1363   PetscFunctionBegin;
1364   a = matA->A; b = matA->B;
1365   c = matB->A; d = matB->B;
1366 
1367   ierr = MatEqual(a,c,&flg);CHKERRQ(ierr);
1368   if (flg) {
1369     ierr = MatEqual(b,d,&flg);CHKERRQ(ierr);
1370   }
1371   ierr = MPI_Allreduce(&flg,flag,1,MPI_INT,MPI_LAND,A->comm);CHKERRQ(ierr);
1372   PetscFunctionReturn(0);
1373 }
1374 
1375 #undef __FUNCT__
1376 #define __FUNCT__ "MatCopy_MPISBAIJ"
1377 PetscErrorCode MatCopy_MPISBAIJ(Mat A,Mat B,MatStructure str)
1378 {
1379   PetscErrorCode ierr;
1380   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ *)A->data;
1381   Mat_MPISBAIJ   *b = (Mat_MPISBAIJ *)B->data;
1382 
1383   PetscFunctionBegin;
1384   /* If the two matrices don't have the same copy implementation, they aren't compatible for fast copy. */
1385   if ((str != SAME_NONZERO_PATTERN) || (A->ops->copy != B->ops->copy)) {
1386     ierr = MatGetRowUpperTriangular(A);CHKERRQ(ierr);
1387     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
1388     ierr = MatRestoreRowUpperTriangular(A);CHKERRQ(ierr);
1389   } else {
1390     ierr = MatCopy(a->A,b->A,str);CHKERRQ(ierr);
1391     ierr = MatCopy(a->B,b->B,str);CHKERRQ(ierr);
1392   }
1393   PetscFunctionReturn(0);
1394 }
1395 
1396 #undef __FUNCT__
1397 #define __FUNCT__ "MatSetUpPreallocation_MPISBAIJ"
1398 PetscErrorCode MatSetUpPreallocation_MPISBAIJ(Mat A)
1399 {
1400   PetscErrorCode ierr;
1401 
1402   PetscFunctionBegin;
1403   ierr = MatMPISBAIJSetPreallocation(A,PetscMax(A->rmap.bs,1),PETSC_DEFAULT,0,PETSC_DEFAULT,0);CHKERRQ(ierr);
1404   PetscFunctionReturn(0);
1405 }
1406 
1407 #include "petscblaslapack.h"
1408 #undef __FUNCT__
1409 #define __FUNCT__ "MatAXPY_MPISBAIJ"
1410 PetscErrorCode MatAXPY_MPISBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
1411 {
1412   PetscErrorCode ierr;
1413   Mat_MPISBAIJ   *xx=(Mat_MPISBAIJ *)X->data,*yy=(Mat_MPISBAIJ *)Y->data;
1414   PetscBLASInt   bnz,one=1;
1415   Mat_SeqSBAIJ   *xa,*ya;
1416   Mat_SeqBAIJ    *xb,*yb;
1417 
1418   PetscFunctionBegin;
1419   if (str == SAME_NONZERO_PATTERN) {
1420     PetscScalar alpha = a;
1421     xa = (Mat_SeqSBAIJ *)xx->A->data;
1422     ya = (Mat_SeqSBAIJ *)yy->A->data;
1423     bnz = (PetscBLASInt)xa->nz;
1424     BLASaxpy_(&bnz,&alpha,xa->a,&one,ya->a,&one);
1425     xb = (Mat_SeqBAIJ *)xx->B->data;
1426     yb = (Mat_SeqBAIJ *)yy->B->data;
1427     bnz = (PetscBLASInt)xb->nz;
1428     BLASaxpy_(&bnz,&alpha,xb->a,&one,yb->a,&one);
1429   } else {
1430     ierr = MatGetRowUpperTriangular(X);CHKERRQ(ierr);
1431     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
1432     ierr = MatRestoreRowUpperTriangular(X);CHKERRQ(ierr);
1433   }
1434   PetscFunctionReturn(0);
1435 }
1436 
1437 #undef __FUNCT__
1438 #define __FUNCT__ "MatGetSubMatrices_MPISBAIJ"
1439 PetscErrorCode MatGetSubMatrices_MPISBAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
1440 {
1441   PetscErrorCode ierr;
1442   PetscInt       i;
1443   PetscTruth     flg;
1444 
1445   PetscFunctionBegin;
1446   for (i=0; i<n; i++) {
1447     ierr = ISEqual(irow[i],icol[i],&flg);CHKERRQ(ierr);
1448     if (!flg) {
1449       SETERRQ(PETSC_ERR_SUP,"Can only get symmetric submatrix for MPISBAIJ matrices");
1450     }
1451   }
1452   ierr = MatGetSubMatrices_MPIBAIJ(A,n,irow,icol,scall,B);CHKERRQ(ierr);
1453   PetscFunctionReturn(0);
1454 }
1455 
1456 
1457 /* -------------------------------------------------------------------*/
1458 static struct _MatOps MatOps_Values = {
1459        MatSetValues_MPISBAIJ,
1460        MatGetRow_MPISBAIJ,
1461        MatRestoreRow_MPISBAIJ,
1462        MatMult_MPISBAIJ,
1463 /* 4*/ MatMultAdd_MPISBAIJ,
1464        MatMult_MPISBAIJ,       /* transpose versions are same as non-transpose */
1465        MatMultAdd_MPISBAIJ,
1466        0,
1467        0,
1468        0,
1469 /*10*/ 0,
1470        0,
1471        0,
1472        MatRelax_MPISBAIJ,
1473        MatTranspose_MPISBAIJ,
1474 /*15*/ MatGetInfo_MPISBAIJ,
1475        MatEqual_MPISBAIJ,
1476        MatGetDiagonal_MPISBAIJ,
1477        MatDiagonalScale_MPISBAIJ,
1478        MatNorm_MPISBAIJ,
1479 /*20*/ MatAssemblyBegin_MPISBAIJ,
1480        MatAssemblyEnd_MPISBAIJ,
1481        0,
1482        MatSetOption_MPISBAIJ,
1483        MatZeroEntries_MPISBAIJ,
1484 /*25*/ 0,
1485        0,
1486        0,
1487        0,
1488        0,
1489 /*30*/ MatSetUpPreallocation_MPISBAIJ,
1490        0,
1491        0,
1492        0,
1493        0,
1494 /*35*/ MatDuplicate_MPISBAIJ,
1495        0,
1496        0,
1497        0,
1498        0,
1499 /*40*/ MatAXPY_MPISBAIJ,
1500        MatGetSubMatrices_MPISBAIJ,
1501        MatIncreaseOverlap_MPISBAIJ,
1502        MatGetValues_MPISBAIJ,
1503        MatCopy_MPISBAIJ,
1504 /*45*/ 0,
1505        MatScale_MPISBAIJ,
1506        0,
1507        0,
1508        0,
1509 /*50*/ 0,
1510        0,
1511        0,
1512        0,
1513        0,
1514 /*55*/ 0,
1515        0,
1516        MatSetUnfactored_MPISBAIJ,
1517        0,
1518        MatSetValuesBlocked_MPISBAIJ,
1519 /*60*/ 0,
1520        0,
1521        0,
1522        0,
1523        0,
1524 /*65*/ 0,
1525        0,
1526        0,
1527        0,
1528        0,
1529 /*70*/ MatGetRowMaxAbs_MPISBAIJ,
1530        0,
1531        0,
1532        0,
1533        0,
1534 /*75*/ 0,
1535        0,
1536        0,
1537        0,
1538        0,
1539 /*80*/ 0,
1540        0,
1541        0,
1542        0,
1543        MatLoad_MPISBAIJ,
1544 /*85*/ 0,
1545        0,
1546        0,
1547        0,
1548        0,
1549 /*90*/ 0,
1550        0,
1551        0,
1552        0,
1553        0,
1554 /*95*/ 0,
1555        0,
1556        0,
1557        0,
1558        0,
1559 /*100*/0,
1560        0,
1561        0,
1562        0,
1563        0,
1564 /*105*/0,
1565        MatRealPart_MPISBAIJ,
1566        MatImaginaryPart_MPISBAIJ,
1567        MatGetRowUpperTriangular_MPISBAIJ,
1568        MatRestoreRowUpperTriangular_MPISBAIJ
1569 };
1570 
1571 
1572 EXTERN_C_BEGIN
1573 #undef __FUNCT__
1574 #define __FUNCT__ "MatGetDiagonalBlock_MPISBAIJ"
1575 PetscErrorCode PETSCMAT_DLLEXPORT MatGetDiagonalBlock_MPISBAIJ(Mat A,PetscTruth *iscopy,MatReuse reuse,Mat *a)
1576 {
1577   PetscFunctionBegin;
1578   *a      = ((Mat_MPISBAIJ *)A->data)->A;
1579   *iscopy = PETSC_FALSE;
1580   PetscFunctionReturn(0);
1581 }
1582 EXTERN_C_END
1583 
1584 EXTERN_C_BEGIN
1585 #undef __FUNCT__
1586 #define __FUNCT__ "MatMPISBAIJSetPreallocation_MPISBAIJ"
1587 PetscErrorCode PETSCMAT_DLLEXPORT MatMPISBAIJSetPreallocation_MPISBAIJ(Mat B,PetscInt bs,PetscInt d_nz,PetscInt *d_nnz,PetscInt o_nz,PetscInt *o_nnz)
1588 {
1589   Mat_MPISBAIJ   *b;
1590   PetscErrorCode ierr;
1591   PetscInt       i,mbs,Mbs;
1592 
1593   PetscFunctionBegin;
1594   ierr = PetscOptionsBegin(B->comm,B->prefix,"Options for MPISBAIJ matrix","Mat");CHKERRQ(ierr);
1595     ierr = PetscOptionsInt("-mat_block_size","Set the blocksize used to store the matrix","MatMPIBAIJSetPreallocation",bs,&bs,PETSC_NULL);CHKERRQ(ierr);
1596   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1597 
1598   if (bs < 1) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive");
1599   if (d_nz == PETSC_DECIDE || d_nz == PETSC_DEFAULT) d_nz = 3;
1600   if (o_nz == PETSC_DECIDE || o_nz == PETSC_DEFAULT) o_nz = 1;
1601   if (d_nz < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"d_nz cannot be less than 0: value %D",d_nz);
1602   if (o_nz < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"o_nz cannot be less than 0: value %D",o_nz);
1603 
1604   B->rmap.bs = B->cmap.bs = bs;
1605   ierr = PetscMapSetUp(&B->rmap);CHKERRQ(ierr);
1606   ierr = PetscMapSetUp(&B->cmap);CHKERRQ(ierr);
1607 
1608   if (d_nnz) {
1609     for (i=0; i<B->rmap.n/bs; i++) {
1610       if (d_nnz[i] < 0) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"d_nnz cannot be less than -1: local row %D value %D",i,d_nnz[i]);
1611     }
1612   }
1613   if (o_nnz) {
1614     for (i=0; i<B->rmap.n/bs; i++) {
1615       if (o_nnz[i] < 0) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"o_nnz cannot be less than -1: local row %D value %D",i,o_nnz[i]);
1616     }
1617   }
1618   B->preallocated = PETSC_TRUE;
1619 
1620   b   = (Mat_MPISBAIJ*)B->data;
1621   mbs = B->rmap.n/bs;
1622   Mbs = B->rmap.N/bs;
1623   if (mbs*bs != B->rmap.n) {
1624     SETERRQ2(PETSC_ERR_ARG_SIZ,"No of local rows %D must be divisible by blocksize %D",B->rmap.N,bs);
1625   }
1626 
1627   B->rmap.bs  = bs;
1628   b->bs2 = bs*bs;
1629   b->mbs = mbs;
1630   b->nbs = mbs;
1631   b->Mbs = Mbs;
1632   b->Nbs = Mbs;
1633 
1634   for (i=0; i<=b->size; i++) {
1635     b->rangebs[i] = B->rmap.range[i]/bs;
1636   }
1637   b->rstartbs = B->rmap.rstart/bs;
1638   b->rendbs   = B->rmap.rend/bs;
1639 
1640   b->cstartbs = B->cmap.rstart/bs;
1641   b->cendbs   = B->cmap.rend/bs;
1642 
1643   ierr = MatCreate(PETSC_COMM_SELF,&b->A);CHKERRQ(ierr);
1644   ierr = MatSetSizes(b->A,B->rmap.n,B->cmap.n,B->rmap.n,B->cmap.n);CHKERRQ(ierr);
1645   ierr = MatSetType(b->A,MATSEQSBAIJ);CHKERRQ(ierr);
1646   ierr = MatSeqSBAIJSetPreallocation(b->A,bs,d_nz,d_nnz);CHKERRQ(ierr);
1647   ierr = PetscLogObjectParent(B,b->A);CHKERRQ(ierr);
1648 
1649   ierr = MatCreate(PETSC_COMM_SELF,&b->B);CHKERRQ(ierr);
1650   ierr = MatSetSizes(b->B,B->rmap.n,B->cmap.N,B->rmap.n,B->cmap.N);CHKERRQ(ierr);
1651   ierr = MatSetType(b->B,MATSEQBAIJ);CHKERRQ(ierr);
1652   ierr = MatSeqBAIJSetPreallocation(b->B,bs,o_nz,o_nnz);CHKERRQ(ierr);
1653   ierr = PetscLogObjectParent(B,b->B);CHKERRQ(ierr);
1654 
1655   /* build cache for off array entries formed */
1656   ierr = MatStashCreate_Private(B->comm,bs,&B->bstash);CHKERRQ(ierr);
1657 
1658   PetscFunctionReturn(0);
1659 }
1660 EXTERN_C_END
1661 
1662 /*MC
1663    MATMPISBAIJ - MATMPISBAIJ = "mpisbaij" - A matrix type to be used for distributed symmetric sparse block matrices,
1664    based on block compressed sparse row format.  Only the upper triangular portion of the matrix is stored.
1665 
1666    Options Database Keys:
1667 . -mat_type mpisbaij - sets the matrix type to "mpisbaij" during a call to MatSetFromOptions()
1668 
1669   Level: beginner
1670 
1671 .seealso: MatCreateMPISBAIJ
1672 M*/
1673 
1674 EXTERN_C_BEGIN
1675 #undef __FUNCT__
1676 #define __FUNCT__ "MatCreate_MPISBAIJ"
1677 PetscErrorCode PETSCMAT_DLLEXPORT MatCreate_MPISBAIJ(Mat B)
1678 {
1679   Mat_MPISBAIJ   *b;
1680   PetscErrorCode ierr;
1681   PetscTruth     flg;
1682 
1683   PetscFunctionBegin;
1684 
1685   ierr    = PetscNewLog(B,Mat_MPISBAIJ,&b);CHKERRQ(ierr);
1686   B->data = (void*)b;
1687   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
1688 
1689   B->ops->destroy    = MatDestroy_MPISBAIJ;
1690   B->ops->view       = MatView_MPISBAIJ;
1691   B->mapping    = 0;
1692   B->factor     = 0;
1693   B->assembled  = PETSC_FALSE;
1694 
1695   B->insertmode = NOT_SET_VALUES;
1696   ierr = MPI_Comm_rank(B->comm,&b->rank);CHKERRQ(ierr);
1697   ierr = MPI_Comm_size(B->comm,&b->size);CHKERRQ(ierr);
1698 
1699   /* build local table of row and column ownerships */
1700   ierr  = PetscMalloc((b->size+2)*sizeof(PetscInt),&b->rangebs);CHKERRQ(ierr);
1701 
1702   /* build cache for off array entries formed */
1703   ierr = MatStashCreate_Private(B->comm,1,&B->stash);CHKERRQ(ierr);
1704   b->donotstash  = PETSC_FALSE;
1705   b->colmap      = PETSC_NULL;
1706   b->garray      = PETSC_NULL;
1707   b->roworiented = PETSC_TRUE;
1708 
1709 #if defined(PETSC_USE_MAT_SINGLE)
1710   /* stuff for MatSetValues_XXX in single precision */
1711   b->setvalueslen     = 0;
1712   b->setvaluescopy    = PETSC_NULL;
1713 #endif
1714 
1715   /* stuff used in block assembly */
1716   b->barray       = 0;
1717 
1718   /* stuff used for matrix vector multiply */
1719   b->lvec         = 0;
1720   b->Mvctx        = 0;
1721   b->slvec0       = 0;
1722   b->slvec0b      = 0;
1723   b->slvec1       = 0;
1724   b->slvec1a      = 0;
1725   b->slvec1b      = 0;
1726   b->sMvctx       = 0;
1727 
1728   /* stuff for MatGetRow() */
1729   b->rowindices   = 0;
1730   b->rowvalues    = 0;
1731   b->getrowactive = PETSC_FALSE;
1732 
1733   /* hash table stuff */
1734   b->ht           = 0;
1735   b->hd           = 0;
1736   b->ht_size      = 0;
1737   b->ht_flag      = PETSC_FALSE;
1738   b->ht_fact      = 0;
1739   b->ht_total_ct  = 0;
1740   b->ht_insert_ct = 0;
1741 
1742   b->in_loc       = 0;
1743   b->v_loc        = 0;
1744   b->n_loc        = 0;
1745   ierr = PetscOptionsBegin(B->comm,PETSC_NULL,"Options for loading MPISBAIJ matrix 1","Mat");CHKERRQ(ierr);
1746     ierr = PetscOptionsTruth("-mat_use_hash_table","Use hash table to save memory in constructing matrix","MatSetOption",PETSC_FALSE,&flg,PETSC_NULL);CHKERRQ(ierr);
1747     if (flg) {
1748       PetscReal fact = 1.39;
1749       ierr = MatSetOption(B,MAT_USE_HASH_TABLE,PETSC_TRUE);CHKERRQ(ierr);
1750       ierr = PetscOptionsReal("-mat_use_hash_table","Use hash table factor","MatMPIBAIJSetHashTableFactor",fact,&fact,PETSC_NULL);CHKERRQ(ierr);
1751       if (fact <= 1.0) fact = 1.39;
1752       ierr = MatMPIBAIJSetHashTableFactor(B,fact);CHKERRQ(ierr);
1753       ierr = PetscInfo1(0,"Hash table Factor used %5.2f\n",fact);CHKERRQ(ierr);
1754     }
1755   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1756 
1757   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatStoreValues_C",
1758                                      "MatStoreValues_MPISBAIJ",
1759                                      MatStoreValues_MPISBAIJ);CHKERRQ(ierr);
1760   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatRetrieveValues_C",
1761                                      "MatRetrieveValues_MPISBAIJ",
1762                                      MatRetrieveValues_MPISBAIJ);CHKERRQ(ierr);
1763   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetDiagonalBlock_C",
1764                                      "MatGetDiagonalBlock_MPISBAIJ",
1765                                      MatGetDiagonalBlock_MPISBAIJ);CHKERRQ(ierr);
1766   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMPISBAIJSetPreallocation_C",
1767                                      "MatMPISBAIJSetPreallocation_MPISBAIJ",
1768                                      MatMPISBAIJSetPreallocation_MPISBAIJ);CHKERRQ(ierr);
1769   B->symmetric                  = PETSC_TRUE;
1770   B->structurally_symmetric     = PETSC_TRUE;
1771   B->symmetric_set              = PETSC_TRUE;
1772   B->structurally_symmetric_set = PETSC_TRUE;
1773   ierr = PetscObjectChangeTypeName((PetscObject)B,MATMPISBAIJ);CHKERRQ(ierr);
1774   PetscFunctionReturn(0);
1775 }
1776 EXTERN_C_END
1777 
1778 /*MC
1779    MATSBAIJ - MATSBAIJ = "sbaij" - A matrix type to be used for symmetric block sparse matrices.
1780 
1781    This matrix type is identical to MATSEQSBAIJ when constructed with a single process communicator,
1782    and MATMPISBAIJ otherwise.
1783 
1784    Options Database Keys:
1785 . -mat_type sbaij - sets the matrix type to "sbaij" during a call to MatSetFromOptions()
1786 
1787   Level: beginner
1788 
1789 .seealso: MatCreateMPISBAIJ,MATSEQSBAIJ,MATMPISBAIJ
1790 M*/
1791 
1792 EXTERN_C_BEGIN
1793 #undef __FUNCT__
1794 #define __FUNCT__ "MatCreate_SBAIJ"
1795 PetscErrorCode PETSCMAT_DLLEXPORT MatCreate_SBAIJ(Mat A)
1796 {
1797   PetscErrorCode ierr;
1798   PetscMPIInt    size;
1799 
1800   PetscFunctionBegin;
1801   ierr = MPI_Comm_size(A->comm,&size);CHKERRQ(ierr);
1802   if (size == 1) {
1803     ierr = MatSetType(A,MATSEQSBAIJ);CHKERRQ(ierr);
1804   } else {
1805     ierr = MatSetType(A,MATMPISBAIJ);CHKERRQ(ierr);
1806   }
1807   PetscFunctionReturn(0);
1808 }
1809 EXTERN_C_END
1810 
1811 #undef __FUNCT__
1812 #define __FUNCT__ "MatMPISBAIJSetPreallocation"
1813 /*@C
1814    MatMPISBAIJSetPreallocation - For good matrix assembly performance
1815    the user should preallocate the matrix storage by setting the parameters
1816    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
1817    performance can be increased by more than a factor of 50.
1818 
1819    Collective on Mat
1820 
1821    Input Parameters:
1822 +  A - the matrix
1823 .  bs   - size of blockk
1824 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
1825            submatrix  (same for all local rows)
1826 .  d_nnz - array containing the number of block nonzeros in the various block rows
1827            in the upper triangular and diagonal part of the in diagonal portion of the local
1828            (possibly different for each block row) or PETSC_NULL.  You must leave room
1829            for the diagonal entry even if it is zero.
1830 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
1831            submatrix (same for all local rows).
1832 -  o_nnz - array containing the number of nonzeros in the various block rows of the
1833            off-diagonal portion of the local submatrix (possibly different for
1834            each block row) or PETSC_NULL.
1835 
1836 
1837    Options Database Keys:
1838 .   -mat_no_unroll - uses code that does not unroll the loops in the
1839                      block calculations (much slower)
1840 .   -mat_block_size - size of the blocks to use
1841 
1842    Notes:
1843 
1844    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
1845    than it must be used on all processors that share the object for that argument.
1846 
1847    If the *_nnz parameter is given then the *_nz parameter is ignored
1848 
1849    Storage Information:
1850    For a square global matrix we define each processor's diagonal portion
1851    to be its local rows and the corresponding columns (a square submatrix);
1852    each processor's off-diagonal portion encompasses the remainder of the
1853    local matrix (a rectangular submatrix).
1854 
1855    The user can specify preallocated storage for the diagonal part of
1856    the local submatrix with either d_nz or d_nnz (not both).  Set
1857    d_nz=PETSC_DEFAULT and d_nnz=PETSC_NULL for PETSc to control dynamic
1858    memory allocation.  Likewise, specify preallocated storage for the
1859    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
1860 
1861    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
1862    the figure below we depict these three local rows and all columns (0-11).
1863 
1864 .vb
1865            0 1 2 3 4 5 6 7 8 9 10 11
1866           -------------------
1867    row 3  |  o o o d d d o o o o o o
1868    row 4  |  o o o d d d o o o o o o
1869    row 5  |  o o o d d d o o o o o o
1870           -------------------
1871 .ve
1872 
1873    Thus, any entries in the d locations are stored in the d (diagonal)
1874    submatrix, and any entries in the o locations are stored in the
1875    o (off-diagonal) submatrix.  Note that the d matrix is stored in
1876    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
1877 
1878    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
1879    plus the diagonal part of the d matrix,
1880    and o_nz should indicate the number of block nonzeros per row in the o matrix.
1881    In general, for PDE problems in which most nonzeros are near the diagonal,
1882    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
1883    or you will get TERRIBLE performance; see the users' manual chapter on
1884    matrices.
1885 
1886    Level: intermediate
1887 
1888 .keywords: matrix, block, aij, compressed row, sparse, parallel
1889 
1890 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateMPIBAIJ()
1891 @*/
1892 PetscErrorCode PETSCMAT_DLLEXPORT MatMPISBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
1893 {
1894   PetscErrorCode ierr,(*f)(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1895 
1896   PetscFunctionBegin;
1897   ierr = PetscObjectQueryFunction((PetscObject)B,"MatMPISBAIJSetPreallocation_C",(void (**)(void))&f);CHKERRQ(ierr);
1898   if (f) {
1899     ierr = (*f)(B,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
1900   }
1901   PetscFunctionReturn(0);
1902 }
1903 
1904 #undef __FUNCT__
1905 #define __FUNCT__ "MatCreateMPISBAIJ"
1906 /*@C
1907    MatCreateMPISBAIJ - Creates a sparse parallel matrix in symmetric block AIJ format
1908    (block compressed row).  For good matrix assembly performance
1909    the user should preallocate the matrix storage by setting the parameters
1910    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
1911    performance can be increased by more than a factor of 50.
1912 
1913    Collective on MPI_Comm
1914 
1915    Input Parameters:
1916 +  comm - MPI communicator
1917 .  bs   - size of blockk
1918 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
1919            This value should be the same as the local size used in creating the
1920            y vector for the matrix-vector product y = Ax.
1921 .  n - number of local columns (or PETSC_DECIDE to have calculated if N is given)
1922            This value should be the same as the local size used in creating the
1923            x vector for the matrix-vector product y = Ax.
1924 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
1925 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
1926 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
1927            submatrix  (same for all local rows)
1928 .  d_nnz - array containing the number of block nonzeros in the various block rows
1929            in the upper triangular portion of the in diagonal portion of the local
1930            (possibly different for each block block row) or PETSC_NULL.
1931            You must leave room for the diagonal entry even if it is zero.
1932 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
1933            submatrix (same for all local rows).
1934 -  o_nnz - array containing the number of nonzeros in the various block rows of the
1935            off-diagonal portion of the local submatrix (possibly different for
1936            each block row) or PETSC_NULL.
1937 
1938    Output Parameter:
1939 .  A - the matrix
1940 
1941    Options Database Keys:
1942 .   -mat_no_unroll - uses code that does not unroll the loops in the
1943                      block calculations (much slower)
1944 .   -mat_block_size - size of the blocks to use
1945 .   -mat_mpi - use the parallel matrix data structures even on one processor
1946                (defaults to using SeqBAIJ format on one processor)
1947 
1948    Notes:
1949    The number of rows and columns must be divisible by blocksize.
1950    This matrix type does not support complex Hermitian operation.
1951 
1952    The user MUST specify either the local or global matrix dimensions
1953    (possibly both).
1954 
1955    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
1956    than it must be used on all processors that share the object for that argument.
1957 
1958    If the *_nnz parameter is given then the *_nz parameter is ignored
1959 
1960    Storage Information:
1961    For a square global matrix we define each processor's diagonal portion
1962    to be its local rows and the corresponding columns (a square submatrix);
1963    each processor's off-diagonal portion encompasses the remainder of the
1964    local matrix (a rectangular submatrix).
1965 
1966    The user can specify preallocated storage for the diagonal part of
1967    the local submatrix with either d_nz or d_nnz (not both).  Set
1968    d_nz=PETSC_DEFAULT and d_nnz=PETSC_NULL for PETSc to control dynamic
1969    memory allocation.  Likewise, specify preallocated storage for the
1970    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
1971 
1972    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
1973    the figure below we depict these three local rows and all columns (0-11).
1974 
1975 .vb
1976            0 1 2 3 4 5 6 7 8 9 10 11
1977           -------------------
1978    row 3  |  o o o d d d o o o o o o
1979    row 4  |  o o o d d d o o o o o o
1980    row 5  |  o o o d d d o o o o o o
1981           -------------------
1982 .ve
1983 
1984    Thus, any entries in the d locations are stored in the d (diagonal)
1985    submatrix, and any entries in the o locations are stored in the
1986    o (off-diagonal) submatrix.  Note that the d matrix is stored in
1987    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
1988 
1989    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
1990    plus the diagonal part of the d matrix,
1991    and o_nz should indicate the number of block nonzeros per row in the o matrix.
1992    In general, for PDE problems in which most nonzeros are near the diagonal,
1993    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
1994    or you will get TERRIBLE performance; see the users' manual chapter on
1995    matrices.
1996 
1997    Level: intermediate
1998 
1999 .keywords: matrix, block, aij, compressed row, sparse, parallel
2000 
2001 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateMPIBAIJ()
2002 @*/
2003 
2004 PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMPISBAIJ(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[],Mat *A)
2005 {
2006   PetscErrorCode ierr;
2007   PetscMPIInt    size;
2008 
2009   PetscFunctionBegin;
2010   ierr = MatCreate(comm,A);CHKERRQ(ierr);
2011   ierr = MatSetSizes(*A,m,n,M,N);CHKERRQ(ierr);
2012   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2013   if (size > 1) {
2014     ierr = MatSetType(*A,MATMPISBAIJ);CHKERRQ(ierr);
2015     ierr = MatMPISBAIJSetPreallocation(*A,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
2016   } else {
2017     ierr = MatSetType(*A,MATSEQSBAIJ);CHKERRQ(ierr);
2018     ierr = MatSeqSBAIJSetPreallocation(*A,bs,d_nz,d_nnz);CHKERRQ(ierr);
2019   }
2020   PetscFunctionReturn(0);
2021 }
2022 
2023 
2024 #undef __FUNCT__
2025 #define __FUNCT__ "MatDuplicate_MPISBAIJ"
2026 static PetscErrorCode MatDuplicate_MPISBAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
2027 {
2028   Mat            mat;
2029   Mat_MPISBAIJ   *a,*oldmat = (Mat_MPISBAIJ*)matin->data;
2030   PetscErrorCode ierr;
2031   PetscInt       len=0,nt,bs=matin->rmap.bs,mbs=oldmat->mbs;
2032   PetscScalar    *array;
2033 
2034   PetscFunctionBegin;
2035   *newmat       = 0;
2036   ierr = MatCreate(matin->comm,&mat);CHKERRQ(ierr);
2037   ierr = MatSetSizes(mat,matin->rmap.n,matin->cmap.n,matin->rmap.N,matin->cmap.N);CHKERRQ(ierr);
2038   ierr = MatSetType(mat,matin->type_name);CHKERRQ(ierr);
2039   ierr = PetscMemcpy(mat->ops,matin->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
2040   ierr = PetscMapCopy(matin->comm,&matin->rmap,&mat->rmap);CHKERRQ(ierr);
2041   ierr = PetscMapCopy(matin->comm,&matin->cmap,&mat->cmap);CHKERRQ(ierr);
2042 
2043   mat->factor       = matin->factor;
2044   mat->preallocated = PETSC_TRUE;
2045   mat->assembled    = PETSC_TRUE;
2046   mat->insertmode   = NOT_SET_VALUES;
2047 
2048   a = (Mat_MPISBAIJ*)mat->data;
2049   a->bs2   = oldmat->bs2;
2050   a->mbs   = oldmat->mbs;
2051   a->nbs   = oldmat->nbs;
2052   a->Mbs   = oldmat->Mbs;
2053   a->Nbs   = oldmat->Nbs;
2054 
2055 
2056   a->size         = oldmat->size;
2057   a->rank         = oldmat->rank;
2058   a->donotstash   = oldmat->donotstash;
2059   a->roworiented  = oldmat->roworiented;
2060   a->rowindices   = 0;
2061   a->rowvalues    = 0;
2062   a->getrowactive = PETSC_FALSE;
2063   a->barray       = 0;
2064   a->rstartbs    = oldmat->rstartbs;
2065   a->rendbs      = oldmat->rendbs;
2066   a->cstartbs    = oldmat->cstartbs;
2067   a->cendbs      = oldmat->cendbs;
2068 
2069   /* hash table stuff */
2070   a->ht           = 0;
2071   a->hd           = 0;
2072   a->ht_size      = 0;
2073   a->ht_flag      = oldmat->ht_flag;
2074   a->ht_fact      = oldmat->ht_fact;
2075   a->ht_total_ct  = 0;
2076   a->ht_insert_ct = 0;
2077 
2078   ierr = PetscMemcpy(a->rangebs,oldmat->rangebs,(a->size+2)*sizeof(PetscInt));CHKERRQ(ierr);
2079   ierr = MatStashCreate_Private(matin->comm,1,&mat->stash);CHKERRQ(ierr);
2080   ierr = MatStashCreate_Private(matin->comm,matin->rmap.bs,&mat->bstash);CHKERRQ(ierr);
2081   if (oldmat->colmap) {
2082 #if defined (PETSC_USE_CTABLE)
2083     ierr = PetscTableCreateCopy(oldmat->colmap,&a->colmap);CHKERRQ(ierr);
2084 #else
2085     ierr = PetscMalloc((a->Nbs)*sizeof(PetscInt),&a->colmap);CHKERRQ(ierr);
2086     ierr = PetscLogObjectMemory(mat,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2087     ierr = PetscMemcpy(a->colmap,oldmat->colmap,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2088 #endif
2089   } else a->colmap = 0;
2090 
2091   if (oldmat->garray && (len = ((Mat_SeqBAIJ*)(oldmat->B->data))->nbs)) {
2092     ierr = PetscMalloc(len*sizeof(PetscInt),&a->garray);CHKERRQ(ierr);
2093     ierr = PetscLogObjectMemory(mat,len*sizeof(PetscInt));CHKERRQ(ierr);
2094     ierr = PetscMemcpy(a->garray,oldmat->garray,len*sizeof(PetscInt));CHKERRQ(ierr);
2095   } else a->garray = 0;
2096 
2097   ierr =  VecDuplicate(oldmat->lvec,&a->lvec);CHKERRQ(ierr);
2098   ierr = PetscLogObjectParent(mat,a->lvec);CHKERRQ(ierr);
2099   ierr =  VecScatterCopy(oldmat->Mvctx,&a->Mvctx);CHKERRQ(ierr);
2100   ierr = PetscLogObjectParent(mat,a->Mvctx);CHKERRQ(ierr);
2101 
2102   ierr =  VecDuplicate(oldmat->slvec0,&a->slvec0);CHKERRQ(ierr);
2103   ierr = PetscLogObjectParent(mat,a->slvec0);CHKERRQ(ierr);
2104   ierr =  VecDuplicate(oldmat->slvec1,&a->slvec1);CHKERRQ(ierr);
2105   ierr = PetscLogObjectParent(mat,a->slvec1);CHKERRQ(ierr);
2106 
2107   ierr = VecGetLocalSize(a->slvec1,&nt);CHKERRQ(ierr);
2108   ierr = VecGetArray(a->slvec1,&array);CHKERRQ(ierr);
2109   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,bs*mbs,array,&a->slvec1a);CHKERRQ(ierr);
2110   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,nt-bs*mbs,array+bs*mbs,&a->slvec1b);CHKERRQ(ierr);
2111   ierr = VecRestoreArray(a->slvec1,&array);CHKERRQ(ierr);
2112   ierr = VecGetArray(a->slvec0,&array);CHKERRQ(ierr);
2113   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,nt-bs*mbs,array+bs*mbs,&a->slvec0b);CHKERRQ(ierr);
2114   ierr = VecRestoreArray(a->slvec0,&array);CHKERRQ(ierr);
2115   ierr = PetscLogObjectParent(mat,a->slvec0);CHKERRQ(ierr);
2116   ierr = PetscLogObjectParent(mat,a->slvec1);CHKERRQ(ierr);
2117   ierr = PetscLogObjectParent(mat,a->slvec0b);CHKERRQ(ierr);
2118   ierr = PetscLogObjectParent(mat,a->slvec1a);CHKERRQ(ierr);
2119   ierr = PetscLogObjectParent(mat,a->slvec1b);CHKERRQ(ierr);
2120 
2121   /* ierr =  VecScatterCopy(oldmat->sMvctx,&a->sMvctx); - not written yet, replaced by the lazy trick: */
2122   ierr = PetscObjectReference((PetscObject)oldmat->sMvctx);CHKERRQ(ierr);
2123   a->sMvctx = oldmat->sMvctx;
2124   ierr = PetscLogObjectParent(mat,a->sMvctx);CHKERRQ(ierr);
2125 
2126   ierr =  MatDuplicate(oldmat->A,cpvalues,&a->A);CHKERRQ(ierr);
2127   ierr = PetscLogObjectParent(mat,a->A);CHKERRQ(ierr);
2128   ierr =  MatDuplicate(oldmat->B,cpvalues,&a->B);CHKERRQ(ierr);
2129   ierr = PetscLogObjectParent(mat,a->B);CHKERRQ(ierr);
2130   ierr = PetscFListDuplicate(mat->qlist,&matin->qlist);CHKERRQ(ierr);
2131   *newmat = mat;
2132   PetscFunctionReturn(0);
2133 }
2134 
2135 #include "petscsys.h"
2136 
2137 #undef __FUNCT__
2138 #define __FUNCT__ "MatLoad_MPISBAIJ"
2139 PetscErrorCode MatLoad_MPISBAIJ(PetscViewer viewer, MatType type,Mat *newmat)
2140 {
2141   Mat            A;
2142   PetscErrorCode ierr;
2143   PetscInt       i,nz,j,rstart,rend;
2144   PetscScalar    *vals,*buf;
2145   MPI_Comm       comm = ((PetscObject)viewer)->comm;
2146   MPI_Status     status;
2147   PetscMPIInt    rank,size,tag = ((PetscObject)viewer)->tag,*sndcounts = 0,*browners,maxnz,*rowners,*locrowlens;
2148   PetscInt       header[4],*rowlengths = 0,M,N,m,*cols;
2149   PetscInt       *procsnz = 0,jj,*mycols,*ibuf;
2150   PetscInt       bs=1,Mbs,mbs,extra_rows;
2151   PetscInt       *dlens,*odlens,*mask,*masked1,*masked2,rowcount,odcount;
2152   PetscInt       dcount,kmax,k,nzcount,tmp;
2153   int            fd;
2154 
2155   PetscFunctionBegin;
2156   ierr = PetscOptionsBegin(comm,PETSC_NULL,"Options for loading MPISBAIJ matrix 2","Mat");CHKERRQ(ierr);
2157     ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,PETSC_NULL);CHKERRQ(ierr);
2158   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2159 
2160   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2161   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
2162   if (!rank) {
2163     ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
2164     ierr = PetscBinaryRead(fd,(char *)header,4,PETSC_INT);CHKERRQ(ierr);
2165     if (header[0] != MAT_FILE_COOKIE) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
2166     if (header[3] < 0) {
2167       SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as MPISBAIJ");
2168     }
2169   }
2170 
2171   ierr = MPI_Bcast(header+1,3,MPIU_INT,0,comm);CHKERRQ(ierr);
2172   M = header[1]; N = header[2];
2173 
2174   if (M != N) SETERRQ(PETSC_ERR_SUP,"Can only do square matrices");
2175 
2176   /*
2177      This code adds extra rows to make sure the number of rows is
2178      divisible by the blocksize
2179   */
2180   Mbs        = M/bs;
2181   extra_rows = bs - M + bs*(Mbs);
2182   if (extra_rows == bs) extra_rows = 0;
2183   else                  Mbs++;
2184   if (extra_rows &&!rank) {
2185     ierr = PetscInfo(0,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
2186   }
2187 
2188   /* determine ownership of all rows */
2189   mbs        = Mbs/size + ((Mbs % size) > rank);
2190   m          = mbs*bs;
2191   ierr       = PetscMalloc(2*(size+2)*sizeof(PetscMPIInt),&rowners);CHKERRQ(ierr);
2192   browners   = rowners + size + 1;
2193   ierr       = MPI_Allgather(&mbs,1,MPI_INT,rowners+1,1,MPI_INT,comm);CHKERRQ(ierr);
2194   rowners[0] = 0;
2195   for (i=2; i<=size; i++) rowners[i] += rowners[i-1];
2196   for (i=0; i<=size;  i++) browners[i] = rowners[i]*bs;
2197   rstart = rowners[rank];
2198   rend   = rowners[rank+1];
2199 
2200   /* distribute row lengths to all processors */
2201   ierr = PetscMalloc((rend-rstart)*bs*sizeof(PetscMPIInt),&locrowlens);CHKERRQ(ierr);
2202   if (!rank) {
2203     ierr = PetscMalloc((M+extra_rows)*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
2204     ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
2205     for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
2206     ierr = PetscMalloc(size*sizeof(PetscMPIInt),&sndcounts);CHKERRQ(ierr);
2207     for (i=0; i<size; i++) sndcounts[i] = browners[i+1] - browners[i];
2208     ierr = MPI_Scatterv(rowlengths,sndcounts,browners,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2209     ierr = PetscFree(sndcounts);CHKERRQ(ierr);
2210   } else {
2211     ierr = MPI_Scatterv(0,0,0,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2212   }
2213 
2214   if (!rank) {   /* procs[0] */
2215     /* calculate the number of nonzeros on each processor */
2216     ierr = PetscMalloc(size*sizeof(PetscInt),&procsnz);CHKERRQ(ierr);
2217     ierr = PetscMemzero(procsnz,size*sizeof(PetscInt));CHKERRQ(ierr);
2218     for (i=0; i<size; i++) {
2219       for (j=rowners[i]*bs; j< rowners[i+1]*bs; j++) {
2220         procsnz[i] += rowlengths[j];
2221       }
2222     }
2223     ierr = PetscFree(rowlengths);CHKERRQ(ierr);
2224 
2225     /* determine max buffer needed and allocate it */
2226     maxnz = 0;
2227     for (i=0; i<size; i++) {
2228       maxnz = PetscMax(maxnz,procsnz[i]);
2229     }
2230     ierr = PetscMalloc(maxnz*sizeof(PetscInt),&cols);CHKERRQ(ierr);
2231 
2232     /* read in my part of the matrix column indices  */
2233     nz     = procsnz[0];
2234     ierr   = PetscMalloc(nz*sizeof(PetscInt),&ibuf);CHKERRQ(ierr);
2235     mycols = ibuf;
2236     if (size == 1)  nz -= extra_rows;
2237     ierr = PetscBinaryRead(fd,mycols,nz,PETSC_INT);CHKERRQ(ierr);
2238     if (size == 1)  for (i=0; i< extra_rows; i++) { mycols[nz+i] = M+i; }
2239 
2240     /* read in every ones (except the last) and ship off */
2241     for (i=1; i<size-1; i++) {
2242       nz   = procsnz[i];
2243       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2244       ierr = MPI_Send(cols,nz,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
2245     }
2246     /* read in the stuff for the last proc */
2247     if (size != 1) {
2248       nz   = procsnz[size-1] - extra_rows;  /* the extra rows are not on the disk */
2249       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2250       for (i=0; i<extra_rows; i++) cols[nz+i] = M+i;
2251       ierr = MPI_Send(cols,nz+extra_rows,MPIU_INT,size-1,tag,comm);CHKERRQ(ierr);
2252     }
2253     ierr = PetscFree(cols);CHKERRQ(ierr);
2254   } else {  /* procs[i], i>0 */
2255     /* determine buffer space needed for message */
2256     nz = 0;
2257     for (i=0; i<m; i++) {
2258       nz += locrowlens[i];
2259     }
2260     ierr   = PetscMalloc(nz*sizeof(PetscInt),&ibuf);CHKERRQ(ierr);
2261     mycols = ibuf;
2262     /* receive message of column indices*/
2263     ierr = MPI_Recv(mycols,nz,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
2264     ierr = MPI_Get_count(&status,MPIU_INT,&maxnz);CHKERRQ(ierr);
2265     if (maxnz != nz) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2266   }
2267 
2268   /* loop over local rows, determining number of off diagonal entries */
2269   ierr     = PetscMalloc(2*(rend-rstart+1)*sizeof(PetscInt),&dlens);CHKERRQ(ierr);
2270   odlens   = dlens + (rend-rstart);
2271   ierr     = PetscMalloc(3*Mbs*sizeof(PetscInt),&mask);CHKERRQ(ierr);
2272   ierr     = PetscMemzero(mask,3*Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2273   masked1  = mask    + Mbs;
2274   masked2  = masked1 + Mbs;
2275   rowcount = 0; nzcount = 0;
2276   for (i=0; i<mbs; i++) {
2277     dcount  = 0;
2278     odcount = 0;
2279     for (j=0; j<bs; j++) {
2280       kmax = locrowlens[rowcount];
2281       for (k=0; k<kmax; k++) {
2282         tmp = mycols[nzcount++]/bs; /* block col. index */
2283         if (!mask[tmp]) {
2284           mask[tmp] = 1;
2285           if (tmp < rstart || tmp >= rend) masked2[odcount++] = tmp; /* entry in off-diag portion */
2286           else masked1[dcount++] = tmp; /* entry in diag portion */
2287         }
2288       }
2289       rowcount++;
2290     }
2291 
2292     dlens[i]  = dcount;  /* d_nzz[i] */
2293     odlens[i] = odcount; /* o_nzz[i] */
2294 
2295     /* zero out the mask elements we set */
2296     for (j=0; j<dcount; j++) mask[masked1[j]] = 0;
2297     for (j=0; j<odcount; j++) mask[masked2[j]] = 0;
2298   }
2299 
2300   /* create our matrix */
2301   ierr = MatCreate(comm,&A);CHKERRQ(ierr);
2302   ierr = MatSetSizes(A,m,m,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2303   ierr = MatSetType(A,type);CHKERRQ(ierr);
2304   ierr = MatMPISBAIJSetPreallocation(A,bs,0,dlens,0,odlens);CHKERRQ(ierr);
2305   ierr = MatSetOption(A,MAT_COLUMNS_SORTED,PETSC_TRUE);CHKERRQ(ierr);
2306 
2307   if (!rank) {
2308     ierr = PetscMalloc(maxnz*sizeof(PetscScalar),&buf);CHKERRQ(ierr);
2309     /* read in my part of the matrix numerical values  */
2310     nz = procsnz[0];
2311     vals = buf;
2312     mycols = ibuf;
2313     if (size == 1)  nz -= extra_rows;
2314     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2315     if (size == 1)  for (i=0; i< extra_rows; i++) { vals[nz+i] = 1.0; }
2316 
2317     /* insert into matrix */
2318     jj      = rstart*bs;
2319     for (i=0; i<m; i++) {
2320       ierr = MatSetValues(A,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2321       mycols += locrowlens[i];
2322       vals   += locrowlens[i];
2323       jj++;
2324     }
2325 
2326     /* read in other processors (except the last one) and ship out */
2327     for (i=1; i<size-1; i++) {
2328       nz   = procsnz[i];
2329       vals = buf;
2330       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2331       ierr = MPI_Send(vals,nz,MPIU_SCALAR,i,A->tag,comm);CHKERRQ(ierr);
2332     }
2333     /* the last proc */
2334     if (size != 1){
2335       nz   = procsnz[i] - extra_rows;
2336       vals = buf;
2337       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2338       for (i=0; i<extra_rows; i++) vals[nz+i] = 1.0;
2339       ierr = MPI_Send(vals,nz+extra_rows,MPIU_SCALAR,size-1,A->tag,comm);CHKERRQ(ierr);
2340     }
2341     ierr = PetscFree(procsnz);CHKERRQ(ierr);
2342 
2343   } else {
2344     /* receive numeric values */
2345     ierr = PetscMalloc(nz*sizeof(PetscScalar),&buf);CHKERRQ(ierr);
2346 
2347     /* receive message of values*/
2348     vals   = buf;
2349     mycols = ibuf;
2350     ierr   = MPI_Recv(vals,nz,MPIU_SCALAR,0,A->tag,comm,&status);CHKERRQ(ierr);
2351     ierr   = MPI_Get_count(&status,MPIU_SCALAR,&maxnz);CHKERRQ(ierr);
2352     if (maxnz != nz) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2353 
2354     /* insert into matrix */
2355     jj      = rstart*bs;
2356     for (i=0; i<m; i++) {
2357       ierr    = MatSetValues_MPISBAIJ(A,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2358       mycols += locrowlens[i];
2359       vals   += locrowlens[i];
2360       jj++;
2361     }
2362   }
2363 
2364   ierr = PetscFree(locrowlens);CHKERRQ(ierr);
2365   ierr = PetscFree(buf);CHKERRQ(ierr);
2366   ierr = PetscFree(ibuf);CHKERRQ(ierr);
2367   ierr = PetscFree(rowners);CHKERRQ(ierr);
2368   ierr = PetscFree(dlens);CHKERRQ(ierr);
2369   ierr = PetscFree(mask);CHKERRQ(ierr);
2370   ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2371   ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2372   *newmat = A;
2373   PetscFunctionReturn(0);
2374 }
2375 
2376 #undef __FUNCT__
2377 #define __FUNCT__ "MatMPISBAIJSetHashTableFactor"
2378 /*XXXXX@
2379    MatMPISBAIJSetHashTableFactor - Sets the factor required to compute the size of the HashTable.
2380 
2381    Input Parameters:
2382 .  mat  - the matrix
2383 .  fact - factor
2384 
2385    Collective on Mat
2386 
2387    Level: advanced
2388 
2389   Notes:
2390    This can also be set by the command line option: -mat_use_hash_table fact
2391 
2392 .keywords: matrix, hashtable, factor, HT
2393 
2394 .seealso: MatSetOption()
2395 @XXXXX*/
2396 
2397 
2398 #undef __FUNCT__
2399 #define __FUNCT__ "MatGetRowMaxAbs_MPISBAIJ"
2400 PetscErrorCode MatGetRowMaxAbs_MPISBAIJ(Mat A,Vec v,PetscInt idx[])
2401 {
2402   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
2403   Mat_SeqBAIJ    *b = (Mat_SeqBAIJ*)(a->B)->data;
2404   PetscReal      atmp;
2405   PetscReal      *work,*svalues,*rvalues;
2406   PetscErrorCode ierr;
2407   PetscInt       i,bs,mbs,*bi,*bj,brow,j,ncols,krow,kcol,col,row,Mbs,bcol;
2408   PetscMPIInt    rank,size;
2409   PetscInt       *rowners_bs,dest,count,source;
2410   PetscScalar    *va;
2411   MatScalar      *ba;
2412   MPI_Status     stat;
2413 
2414   PetscFunctionBegin;
2415   if (idx) SETERRQ(PETSC_ERR_SUP,"Send email to petsc-maint@mcs.anl.gov");
2416   ierr = MatGetRowMaxAbs(a->A,v,PETSC_NULL);CHKERRQ(ierr);
2417   ierr = VecGetArray(v,&va);CHKERRQ(ierr);
2418 
2419   ierr = MPI_Comm_size(A->comm,&size);CHKERRQ(ierr);
2420   ierr = MPI_Comm_rank(A->comm,&rank);CHKERRQ(ierr);
2421 
2422   bs   = A->rmap.bs;
2423   mbs  = a->mbs;
2424   Mbs  = a->Mbs;
2425   ba   = b->a;
2426   bi   = b->i;
2427   bj   = b->j;
2428 
2429   /* find ownerships */
2430   rowners_bs = A->rmap.range;
2431 
2432   /* each proc creates an array to be distributed */
2433   ierr = PetscMalloc(bs*Mbs*sizeof(PetscReal),&work);CHKERRQ(ierr);
2434   ierr = PetscMemzero(work,bs*Mbs*sizeof(PetscReal));CHKERRQ(ierr);
2435 
2436   /* row_max for B */
2437   if (rank != size-1){
2438     for (i=0; i<mbs; i++) {
2439       ncols = bi[1] - bi[0]; bi++;
2440       brow  = bs*i;
2441       for (j=0; j<ncols; j++){
2442         bcol = bs*(*bj);
2443         for (kcol=0; kcol<bs; kcol++){
2444           col = bcol + kcol;                 /* local col index */
2445           col += rowners_bs[rank+1];      /* global col index */
2446           for (krow=0; krow<bs; krow++){
2447             atmp = PetscAbsScalar(*ba); ba++;
2448             row = brow + krow;    /* local row index */
2449             if (PetscRealPart(va[row]) < atmp) va[row] = atmp;
2450             if (work[col] < atmp) work[col] = atmp;
2451           }
2452         }
2453         bj++;
2454       }
2455     }
2456 
2457     /* send values to its owners */
2458     for (dest=rank+1; dest<size; dest++){
2459       svalues = work + rowners_bs[dest];
2460       count   = rowners_bs[dest+1]-rowners_bs[dest];
2461       ierr    = MPI_Send(svalues,count,MPIU_REAL,dest,rank,A->comm);CHKERRQ(ierr);
2462     }
2463   }
2464 
2465   /* receive values */
2466   if (rank){
2467     rvalues = work;
2468     count   = rowners_bs[rank+1]-rowners_bs[rank];
2469     for (source=0; source<rank; source++){
2470       ierr = MPI_Recv(rvalues,count,MPIU_REAL,MPI_ANY_SOURCE,MPI_ANY_TAG,A->comm,&stat);CHKERRQ(ierr);
2471       /* process values */
2472       for (i=0; i<count; i++){
2473         if (PetscRealPart(va[i]) < rvalues[i]) va[i] = rvalues[i];
2474       }
2475     }
2476   }
2477 
2478   ierr = VecRestoreArray(v,&va);CHKERRQ(ierr);
2479   ierr = PetscFree(work);CHKERRQ(ierr);
2480   PetscFunctionReturn(0);
2481 }
2482 
2483 #undef __FUNCT__
2484 #define __FUNCT__ "MatRelax_MPISBAIJ"
2485 PetscErrorCode MatRelax_MPISBAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2486 {
2487   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
2488   PetscErrorCode ierr;
2489   PetscInt       mbs=mat->mbs,bs=matin->rmap.bs;
2490   PetscScalar    *x,*b,*ptr,zero=0.0;
2491   Vec            bb1;
2492 
2493   PetscFunctionBegin;
2494   if (its <= 0 || lits <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
2495   if (bs > 1)
2496     SETERRQ(PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2497 
2498   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP){
2499     if ( flag & SOR_ZERO_INITIAL_GUESS ) {
2500       ierr = (*mat->A->ops->relax)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2501       its--;
2502     }
2503 
2504     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2505     while (its--){
2506 
2507       /* lower triangular part: slvec0b = - B^T*xx */
2508       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2509 
2510       /* copy xx into slvec0a */
2511       ierr = VecGetArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2512       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2513       ierr = PetscMemcpy(ptr,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2514       ierr = VecRestoreArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2515 
2516       ierr = VecScale(mat->slvec0,-1.0);CHKERRQ(ierr);
2517 
2518       /* copy bb into slvec1a */
2519       ierr = VecGetArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2520       ierr = VecGetArray(bb,&b);CHKERRQ(ierr);
2521       ierr = PetscMemcpy(ptr,b,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2522       ierr = VecRestoreArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2523 
2524       /* set slvec1b = 0 */
2525       ierr = VecSet(mat->slvec1b,zero);CHKERRQ(ierr);
2526 
2527       ierr = VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2528       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2529       ierr = VecRestoreArray(bb,&b);CHKERRQ(ierr);
2530       ierr = VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2531 
2532       /* upper triangular part: bb1 = bb1 - B*x */
2533       ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,bb1);CHKERRQ(ierr);
2534 
2535       /* local diagonal sweep */
2536       ierr = (*mat->A->ops->relax)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
2537     }
2538     ierr = VecDestroy(bb1);CHKERRQ(ierr);
2539   } else {
2540     SETERRQ(PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
2541   }
2542   PetscFunctionReturn(0);
2543 }
2544 
2545 #undef __FUNCT__
2546 #define __FUNCT__ "MatRelax_MPISBAIJ_2comm"
2547 PetscErrorCode MatRelax_MPISBAIJ_2comm(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2548 {
2549   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
2550   PetscErrorCode ierr;
2551   Vec            lvec1,bb1;
2552 
2553   PetscFunctionBegin;
2554   if (its <= 0 || lits <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
2555   if (matin->rmap.bs > 1)
2556     SETERRQ(PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2557 
2558   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP){
2559     if ( flag & SOR_ZERO_INITIAL_GUESS ) {
2560       ierr = (*mat->A->ops->relax)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2561       its--;
2562     }
2563 
2564     ierr = VecDuplicate(mat->lvec,&lvec1);CHKERRQ(ierr);
2565     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2566     while (its--){
2567       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2568 
2569       /* lower diagonal part: bb1 = bb - B^T*xx */
2570       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,lvec1);CHKERRQ(ierr);
2571       ierr = VecScale(lvec1,-1.0);CHKERRQ(ierr);
2572 
2573       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2574       ierr = VecCopy(bb,bb1);CHKERRQ(ierr);
2575       ierr = VecScatterBegin(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2576 
2577       /* upper diagonal part: bb1 = bb1 - B*x */
2578       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2579       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb1,bb1);CHKERRQ(ierr);
2580 
2581       ierr = VecScatterEnd(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2582 
2583       /* diagonal sweep */
2584       ierr = (*mat->A->ops->relax)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
2585     }
2586     ierr = VecDestroy(lvec1);CHKERRQ(ierr);
2587     ierr = VecDestroy(bb1);CHKERRQ(ierr);
2588   } else {
2589     SETERRQ(PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
2590   }
2591   PetscFunctionReturn(0);
2592 }
2593 
2594