xref: /petsc/src/mat/impls/sbaij/mpi/mpisbaij.c (revision 97e3ddc344d76560a97e10de50bd3d5e96ef24d6)
1 /*$Id: mpisbaij.c,v 1.61 2001/08/10 03:31:37 bsmith Exp $*/
2 
3 #include "src/mat/impls/baij/mpi/mpibaij.h"    /*I "petscmat.h" I*/
4 #include "src/vec/vecimpl.h"
5 #include "mpisbaij.h"
6 #include "src/mat/impls/sbaij/seq/sbaij.h"
7 
8 extern int MatSetUpMultiply_MPISBAIJ(Mat);
9 extern int MatSetUpMultiply_MPISBAIJ_2comm(Mat);
10 extern int DisAssemble_MPISBAIJ(Mat);
11 extern int MatGetValues_SeqSBAIJ(Mat,int,int *,int,int *,PetscScalar *);
12 extern int MatSetValues_SeqSBAIJ(Mat,int,int *,int,int *,PetscScalar *,InsertMode);
13 extern int MatSetValuesBlocked_SeqSBAIJ(Mat,int,int*,int,int*,PetscScalar*,InsertMode);
14 extern int MatGetRow_SeqSBAIJ(Mat,int,int*,int**,PetscScalar**);
15 extern int MatRestoreRow_SeqSBAIJ(Mat,int,int*,int**,PetscScalar**);
16 extern int MatPrintHelp_SeqSBAIJ(Mat);
17 extern int MatZeroRows_SeqSBAIJ(Mat,IS,PetscScalar*);
18 extern int MatZeroRows_SeqBAIJ(Mat,IS,PetscScalar *);
19 extern int MatGetRowMax_MPISBAIJ(Mat,Vec);
20 extern int MatRelax_MPISBAIJ(Mat,Vec,PetscReal,MatSORType,PetscReal,int,int,Vec);
21 
22 /*  UGLY, ugly, ugly
23    When MatScalar == PetscScalar the function MatSetValuesBlocked_MPIBAIJ_MatScalar() does
24    not exist. Otherwise ..._MatScalar() takes matrix elements in single precision and
25    inserts them into the single precision data structure. The function MatSetValuesBlocked_MPIBAIJ()
26    converts the entries into single precision and then calls ..._MatScalar() to put them
27    into the single precision data structures.
28 */
29 #if defined(PETSC_USE_MAT_SINGLE)
30 extern int MatSetValuesBlocked_SeqSBAIJ_MatScalar(Mat,int,int*,int,int*,MatScalar*,InsertMode);
31 extern int MatSetValues_MPISBAIJ_MatScalar(Mat,int,int*,int,int*,MatScalar*,InsertMode);
32 extern int MatSetValuesBlocked_MPISBAIJ_MatScalar(Mat,int,int*,int,int*,MatScalar*,InsertMode);
33 extern int MatSetValues_MPISBAIJ_HT_MatScalar(Mat,int,int*,int,int*,MatScalar*,InsertMode);
34 extern int MatSetValuesBlocked_MPISBAIJ_HT_MatScalar(Mat,int,int*,int,int*,MatScalar*,InsertMode);
35 #else
36 #define MatSetValuesBlocked_SeqSBAIJ_MatScalar      MatSetValuesBlocked_SeqSBAIJ
37 #define MatSetValues_MPISBAIJ_MatScalar             MatSetValues_MPISBAIJ
38 #define MatSetValuesBlocked_MPISBAIJ_MatScalar      MatSetValuesBlocked_MPISBAIJ
39 #define MatSetValues_MPISBAIJ_HT_MatScalar          MatSetValues_MPISBAIJ_HT
40 #define MatSetValuesBlocked_MPISBAIJ_HT_MatScalar   MatSetValuesBlocked_MPISBAIJ_HT
41 #endif
42 
43 EXTERN_C_BEGIN
44 #undef __FUNCT__
45 #define __FUNCT__ "MatStoreValues_MPISBAIJ"
46 int MatStoreValues_MPISBAIJ(Mat mat)
47 {
48   Mat_MPISBAIJ *aij = (Mat_MPISBAIJ *)mat->data;
49   int          ierr;
50 
51   PetscFunctionBegin;
52   ierr = MatStoreValues(aij->A);CHKERRQ(ierr);
53   ierr = MatStoreValues(aij->B);CHKERRQ(ierr);
54   PetscFunctionReturn(0);
55 }
56 EXTERN_C_END
57 
58 EXTERN_C_BEGIN
59 #undef __FUNCT__
60 #define __FUNCT__ "MatRetrieveValues_MPISBAIJ"
61 int MatRetrieveValues_MPISBAIJ(Mat mat)
62 {
63   Mat_MPISBAIJ *aij = (Mat_MPISBAIJ *)mat->data;
64   int          ierr;
65 
66   PetscFunctionBegin;
67   ierr = MatRetrieveValues(aij->A);CHKERRQ(ierr);
68   ierr = MatRetrieveValues(aij->B);CHKERRQ(ierr);
69   PetscFunctionReturn(0);
70 }
71 EXTERN_C_END
72 
73 /*
74      Local utility routine that creates a mapping from the global column
75    number to the local number in the off-diagonal part of the local
76    storage of the matrix.  This is done in a non scable way since the
77    length of colmap equals the global matrix length.
78 */
79 #undef __FUNCT__
80 #define __FUNCT__ "CreateColmap_MPISBAIJ_Private"
81 static int CreateColmap_MPISBAIJ_Private(Mat mat)
82 {
83   PetscFunctionBegin;
84   SETERRQ(1,"Function not yet written for SBAIJ format");
85   /* PetscFunctionReturn(0); */
86 }
87 
88 #define CHUNKSIZE  10
89 
90 #define  MatSetValues_SeqSBAIJ_A_Private(row,col,value,addv) \
91 { \
92  \
93     brow = row/bs;  \
94     rp   = aj + ai[brow]; ap = aa + bs2*ai[brow]; \
95     rmax = aimax[brow]; nrow = ailen[brow]; \
96       bcol = col/bs; \
97       ridx = row % bs; cidx = col % bs; \
98       low = 0; high = nrow; \
99       while (high-low > 3) { \
100         t = (low+high)/2; \
101         if (rp[t] > bcol) high = t; \
102         else              low  = t; \
103       } \
104       for (_i=low; _i<high; _i++) { \
105         if (rp[_i] > bcol) break; \
106         if (rp[_i] == bcol) { \
107           bap  = ap +  bs2*_i + bs*cidx + ridx; \
108           if (addv == ADD_VALUES) *bap += value;  \
109           else                    *bap  = value;  \
110           goto a_noinsert; \
111         } \
112       } \
113       if (a->nonew == 1) goto a_noinsert; \
114       else if (a->nonew == -1) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero into matrix"); \
115       if (nrow >= rmax) { \
116         /* there is no extra room in row, therefore enlarge */ \
117         int       new_nz = ai[a->mbs] + CHUNKSIZE,len,*new_i,*new_j; \
118         MatScalar *new_a; \
119  \
120         if (a->nonew == -2) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero in the matrix"); \
121  \
122         /* malloc new storage space */ \
123         len   = new_nz*(sizeof(int)+bs2*sizeof(MatScalar))+(a->mbs+1)*sizeof(int); \
124         ierr  = PetscMalloc(len,&new_a);CHKERRQ(ierr); \
125         new_j = (int*)(new_a + bs2*new_nz); \
126         new_i = new_j + new_nz; \
127  \
128         /* copy over old data into new slots */ \
129         for (ii=0; ii<brow+1; ii++) {new_i[ii] = ai[ii];} \
130         for (ii=brow+1; ii<a->mbs+1; ii++) {new_i[ii] = ai[ii]+CHUNKSIZE;} \
131         ierr = PetscMemcpy(new_j,aj,(ai[brow]+nrow)*sizeof(int));CHKERRQ(ierr); \
132         len = (new_nz - CHUNKSIZE - ai[brow] - nrow); \
133         ierr = PetscMemcpy(new_j+ai[brow]+nrow+CHUNKSIZE,aj+ai[brow]+nrow,len*sizeof(int));CHKERRQ(ierr); \
134         ierr = PetscMemcpy(new_a,aa,(ai[brow]+nrow)*bs2*sizeof(MatScalar));CHKERRQ(ierr); \
135         ierr = PetscMemzero(new_a+bs2*(ai[brow]+nrow),bs2*CHUNKSIZE*sizeof(PetscScalar));CHKERRQ(ierr); \
136         ierr = PetscMemcpy(new_a+bs2*(ai[brow]+nrow+CHUNKSIZE), \
137                     aa+bs2*(ai[brow]+nrow),bs2*len*sizeof(MatScalar));CHKERRQ(ierr);  \
138         /* free up old matrix storage */ \
139         ierr = PetscFree(a->a);CHKERRQ(ierr);  \
140         if (!a->singlemalloc) { \
141           ierr = PetscFree(a->i);CHKERRQ(ierr); \
142           ierr = PetscFree(a->j);CHKERRQ(ierr);\
143         } \
144         aa = a->a = new_a; ai = a->i = new_i; aj = a->j = new_j;  \
145         a->singlemalloc = PETSC_TRUE; \
146  \
147         rp   = aj + ai[brow]; ap = aa + bs2*ai[brow]; \
148         rmax = aimax[brow] = aimax[brow] + CHUNKSIZE; \
149         PetscLogObjectMemory(A,CHUNKSIZE*(sizeof(int) + bs2*sizeof(MatScalar))); \
150         a->s_maxnz += bs2*CHUNKSIZE; \
151         a->reallocs++; \
152         a->s_nz++; \
153       } \
154       N = nrow++ - 1;  \
155       /* shift up all the later entries in this row */ \
156       for (ii=N; ii>=_i; ii--) { \
157         rp[ii+1] = rp[ii]; \
158         ierr = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
159       } \
160       if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr); }  \
161       rp[_i]                      = bcol;  \
162       ap[bs2*_i + bs*cidx + ridx] = value;  \
163       a_noinsert:; \
164     ailen[brow] = nrow; \
165 }
166 #ifndef MatSetValues_SeqBAIJ_B_Private
167 #define  MatSetValues_SeqSBAIJ_B_Private(row,col,value,addv) \
168 { \
169     brow = row/bs;  \
170     rp   = bj + bi[brow]; ap = ba + bs2*bi[brow]; \
171     rmax = bimax[brow]; nrow = bilen[brow]; \
172       bcol = col/bs; \
173       ridx = row % bs; cidx = col % bs; \
174       low = 0; high = nrow; \
175       while (high-low > 3) { \
176         t = (low+high)/2; \
177         if (rp[t] > bcol) high = t; \
178         else              low  = t; \
179       } \
180       for (_i=low; _i<high; _i++) { \
181         if (rp[_i] > bcol) break; \
182         if (rp[_i] == bcol) { \
183           bap  = ap +  bs2*_i + bs*cidx + ridx; \
184           if (addv == ADD_VALUES) *bap += value;  \
185           else                    *bap  = value;  \
186           goto b_noinsert; \
187         } \
188       } \
189       if (b->nonew == 1) goto b_noinsert; \
190       else if (b->nonew == -1) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero into matrix"); \
191       if (nrow >= rmax) { \
192         /* there is no extra room in row, therefore enlarge */ \
193         int       new_nz = bi[b->mbs] + CHUNKSIZE,len,*new_i,*new_j; \
194         MatScalar *new_a; \
195  \
196         if (b->nonew == -2) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero in the matrix"); \
197  \
198         /* malloc new storage space */ \
199         len   = new_nz*(sizeof(int)+bs2*sizeof(MatScalar))+(b->mbs+1)*sizeof(int); \
200         ierr  = PetscMalloc(len,&new_a);CHKERRQ(ierr); \
201         new_j = (int*)(new_a + bs2*new_nz); \
202         new_i = new_j + new_nz; \
203  \
204         /* copy over old data into new slots */ \
205         for (ii=0; ii<brow+1; ii++) {new_i[ii] = bi[ii];} \
206         for (ii=brow+1; ii<b->mbs+1; ii++) {new_i[ii] = bi[ii]+CHUNKSIZE;} \
207         ierr = PetscMemcpy(new_j,bj,(bi[brow]+nrow)*sizeof(int));CHKERRQ(ierr); \
208         len  = (new_nz - CHUNKSIZE - bi[brow] - nrow); \
209         ierr = PetscMemcpy(new_j+bi[brow]+nrow+CHUNKSIZE,bj+bi[brow]+nrow,len*sizeof(int));CHKERRQ(ierr); \
210         ierr = PetscMemcpy(new_a,ba,(bi[brow]+nrow)*bs2*sizeof(MatScalar));CHKERRQ(ierr); \
211         ierr = PetscMemzero(new_a+bs2*(bi[brow]+nrow),bs2*CHUNKSIZE*sizeof(MatScalar));CHKERRQ(ierr); \
212         ierr = PetscMemcpy(new_a+bs2*(bi[brow]+nrow+CHUNKSIZE), \
213                     ba+bs2*(bi[brow]+nrow),bs2*len*sizeof(MatScalar));CHKERRQ(ierr);  \
214         /* free up old matrix storage */ \
215         ierr = PetscFree(b->a);CHKERRQ(ierr);  \
216         if (!b->singlemalloc) { \
217           ierr = PetscFree(b->i);CHKERRQ(ierr); \
218           ierr = PetscFree(b->j);CHKERRQ(ierr); \
219         } \
220         ba = b->a = new_a; bi = b->i = new_i; bj = b->j = new_j;  \
221         b->singlemalloc = PETSC_TRUE; \
222  \
223         rp   = bj + bi[brow]; ap = ba + bs2*bi[brow]; \
224         rmax = bimax[brow] = bimax[brow] + CHUNKSIZE; \
225         PetscLogObjectMemory(B,CHUNKSIZE*(sizeof(int) + bs2*sizeof(MatScalar))); \
226         b->maxnz += bs2*CHUNKSIZE; \
227         b->reallocs++; \
228         b->nz++; \
229       } \
230       N = nrow++ - 1;  \
231       /* shift up all the later entries in this row */ \
232       for (ii=N; ii>=_i; ii--) { \
233         rp[ii+1] = rp[ii]; \
234         ierr = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
235       } \
236       if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr);}  \
237       rp[_i]                      = bcol;  \
238       ap[bs2*_i + bs*cidx + ridx] = value;  \
239       b_noinsert:; \
240     bilen[brow] = nrow; \
241 }
242 #endif
243 
244 #if defined(PETSC_USE_MAT_SINGLE)
245 #undef __FUNCT__
246 #define __FUNCT__ "MatSetValues_MPISBAIJ"
247 int MatSetValues_MPISBAIJ(Mat mat,int m,int *im,int n,int *in,PetscScalar *v,InsertMode addv)
248 {
249   Mat_MPISBAIJ *b = (Mat_MPISBAIJ*)mat->data;
250   int          ierr,i,N = m*n;
251   MatScalar    *vsingle;
252 
253   PetscFunctionBegin;
254   if (N > b->setvalueslen) {
255     if (b->setvaluescopy) {ierr = PetscFree(b->setvaluescopy);CHKERRQ(ierr);}
256     ierr = PetscMalloc(N*sizeof(MatScalar),&b->setvaluescopy);CHKERRQ(ierr);
257     b->setvalueslen  = N;
258   }
259   vsingle = b->setvaluescopy;
260 
261   for (i=0; i<N; i++) {
262     vsingle[i] = v[i];
263   }
264   ierr = MatSetValues_MPISBAIJ_MatScalar(mat,m,im,n,in,vsingle,addv);CHKERRQ(ierr);
265   PetscFunctionReturn(0);
266 }
267 
268 #undef __FUNCT__
269 #define __FUNCT__ "MatSetValuesBlocked_MPISBAIJ"
270 int MatSetValuesBlocked_MPISBAIJ(Mat mat,int m,int *im,int n,int *in,PetscScalar *v,InsertMode addv)
271 {
272   Mat_MPIBAIJ *b = (Mat_MPIBAIJ*)mat->data;
273   int         ierr,i,N = m*n*b->bs2;
274   MatScalar   *vsingle;
275 
276   PetscFunctionBegin;
277   if (N > b->setvalueslen) {
278     if (b->setvaluescopy) {ierr = PetscFree(b->setvaluescopy);CHKERRQ(ierr);}
279     ierr = PetscMalloc(N*sizeof(MatScalar),&b->setvaluescopy);CHKERRQ(ierr);
280     b->setvalueslen  = N;
281   }
282   vsingle = b->setvaluescopy;
283   for (i=0; i<N; i++) {
284     vsingle[i] = v[i];
285   }
286   ierr = MatSetValuesBlocked_MPISBAIJ_MatScalar(mat,m,im,n,in,vsingle,addv);CHKERRQ(ierr);
287   PetscFunctionReturn(0);
288 }
289 
290 #undef __FUNCT__
291 #define __FUNCT__ "MatSetValues_MPISBAIJ_HT"
292 int MatSetValues_MPISBAIJ_HT(Mat mat,int m,int *im,int n,int *in,PetscScalar *v,InsertMode addv)
293 {
294   Mat_MPIBAIJ *b = (Mat_MPIBAIJ*)mat->data;
295   int         ierr,i,N = m*n;
296   MatScalar   *vsingle;
297 
298   PetscFunctionBegin;
299   SETERRQ(1,"Function not yet written for SBAIJ format");
300   /* PetscFunctionReturn(0); */
301 }
302 
303 #undef __FUNCT__
304 #define __FUNCT__ "MatSetValuesBlocked_MPISBAIJ_HT"
305 int MatSetValuesBlocked_MPISBAIJ_HT(Mat mat,int m,int *im,int n,int *in,PetscScalar *v,InsertMode addv)
306 {
307   Mat_MPIBAIJ *b = (Mat_MPIBAIJ*)mat->data;
308   int         ierr,i,N = m*n*b->bs2;
309   MatScalar   *vsingle;
310 
311   PetscFunctionBegin;
312   SETERRQ(1,"Function not yet written for SBAIJ format");
313   /* PetscFunctionReturn(0); */
314 }
315 #endif
316 
317 /* Only add/insert a(i,j) with i<=j (blocks).
318    Any a(i,j) with i>j input by user is ingored.
319 */
320 #undef __FUNCT__
321 #define __FUNCT__ "MatSetValues_MPIBAIJ_MatScalar"
322 int MatSetValues_MPISBAIJ_MatScalar(Mat mat,int m,int *im,int n,int *in,MatScalar *v,InsertMode addv)
323 {
324   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
325   MatScalar    value;
326   PetscTruth   roworiented = baij->roworiented;
327   int          ierr,i,j,row,col;
328   int          rstart_orig=baij->rstart_bs;
329   int          rend_orig=baij->rend_bs,cstart_orig=baij->cstart_bs;
330   int          cend_orig=baij->cend_bs,bs=baij->bs;
331 
332   /* Some Variables required in the macro */
333   Mat          A = baij->A;
334   Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)(A)->data;
335   int          *aimax=a->imax,*ai=a->i,*ailen=a->ilen,*aj=a->j;
336   MatScalar    *aa=a->a;
337 
338   Mat          B = baij->B;
339   Mat_SeqBAIJ  *b = (Mat_SeqBAIJ*)(B)->data;
340   int          *bimax=b->imax,*bi=b->i,*bilen=b->ilen,*bj=b->j;
341   MatScalar    *ba=b->a;
342 
343   int          *rp,ii,nrow,_i,rmax,N,brow,bcol;
344   int          low,high,t,ridx,cidx,bs2=a->bs2;
345   MatScalar    *ap,*bap;
346 
347   /* for stash */
348   int          n_loc, *in_loc=0;
349   MatScalar    *v_loc=0;
350 
351   PetscFunctionBegin;
352 
353   if(!baij->donotstash){
354     ierr = PetscMalloc(n*sizeof(int),&in_loc);CHKERRQ(ierr);
355     ierr = PetscMalloc(n*sizeof(MatScalar),&v_loc);CHKERRQ(ierr);
356   }
357 
358   for (i=0; i<m; i++) {
359     if (im[i] < 0) continue;
360 #if defined(PETSC_USE_BOPT_g)
361     if (im[i] >= mat->M) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Row too large");
362 #endif
363     if (im[i] >= rstart_orig && im[i] < rend_orig) { /* this processor entry */
364       row = im[i] - rstart_orig;              /* local row index */
365       for (j=0; j<n; j++) {
366         if (im[i]/bs > in[j]/bs) continue;    /* ignore lower triangular blocks */
367         if (in[j] >= cstart_orig && in[j] < cend_orig){  /* diag entry (A) */
368           col = in[j] - cstart_orig;          /* local col index */
369           brow = row/bs; bcol = col/bs;
370           if (brow > bcol) continue;  /* ignore lower triangular blocks of A */
371           if (roworiented) value = v[i*n+j]; else value = v[i+j*m];
372           MatSetValues_SeqSBAIJ_A_Private(row,col,value,addv);
373           /* ierr = MatSetValues_SeqBAIJ(baij->A,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
374         } else if (in[j] < 0) continue;
375 #if defined(PETSC_USE_BOPT_g)
376         else if (in[j] >= mat->N) {SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Col too large");}
377 #endif
378         else {  /* off-diag entry (B) */
379           if (mat->was_assembled) {
380             if (!baij->colmap) {
381               ierr = CreateColmap_MPISBAIJ_Private(mat);CHKERRQ(ierr);
382             }
383 #if defined (PETSC_USE_CTABLE)
384             ierr = PetscTableFind(baij->colmap,in[j]/bs + 1,&col);CHKERRQ(ierr);
385             col  = col - 1;
386 #else
387             col = baij->colmap[in[j]/bs] - 1;
388 #endif
389             if (col < 0 && !((Mat_SeqSBAIJ*)(baij->A->data))->nonew) {
390               ierr = DisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
391               col =  in[j];
392               /* Reinitialize the variables required by MatSetValues_SeqBAIJ_B_Private() */
393               B = baij->B;
394               b = (Mat_SeqBAIJ*)(B)->data;
395               bimax=b->imax;bi=b->i;bilen=b->ilen;bj=b->j;
396               ba=b->a;
397             } else col += in[j]%bs;
398           } else col = in[j];
399           if (roworiented) value = v[i*n+j]; else value = v[i+j*m];
400           MatSetValues_SeqSBAIJ_B_Private(row,col,value,addv);
401           /* ierr = MatSetValues_SeqBAIJ(baij->B,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
402         }
403       }
404     } else {  /* off processor entry */
405       if (!baij->donotstash) {
406         n_loc = 0;
407         for (j=0; j<n; j++){
408           if (im[i]/bs > in[j]/bs) continue; /* ignore lower triangular blocks */
409           in_loc[n_loc] = in[j];
410           if (roworiented) {
411             v_loc[n_loc] = v[i*n+j];
412           } else {
413             v_loc[n_loc] = v[j*m+i];
414           }
415           n_loc++;
416         }
417         ierr = MatStashValuesRow_Private(&mat->stash,im[i],n_loc,in_loc,v_loc);CHKERRQ(ierr);
418       }
419     }
420   }
421 
422   if(!baij->donotstash){
423     ierr = PetscFree(in_loc);CHKERRQ(ierr);
424     ierr = PetscFree(v_loc);CHKERRQ(ierr);
425   }
426   PetscFunctionReturn(0);
427 }
428 
429 #undef __FUNCT__
430 #define __FUNCT__ "MatSetValuesBlocked_MPISBAIJ_MatScalar"
431 int MatSetValuesBlocked_MPISBAIJ_MatScalar(Mat mat,int m,int *im,int n,int *in,MatScalar *v,InsertMode addv)
432 {
433   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
434   MatScalar    *value,*barray=baij->barray;
435   PetscTruth   roworiented = baij->roworiented;
436   int          ierr,i,j,ii,jj,row,col,rstart=baij->rstart;
437   int          rend=baij->rend,cstart=baij->cstart,stepval;
438   int          cend=baij->cend,bs=baij->bs,bs2=baij->bs2;
439 
440   PetscFunctionBegin;
441   if(!barray) {
442     ierr         = PetscMalloc(bs2*sizeof(MatScalar),&barray);CHKERRQ(ierr);
443     baij->barray = barray;
444   }
445 
446   if (roworiented) {
447     stepval = (n-1)*bs;
448   } else {
449     stepval = (m-1)*bs;
450   }
451   for (i=0; i<m; i++) {
452     if (im[i] < 0) continue;
453 #if defined(PETSC_USE_BOPT_g)
454     if (im[i] >= baij->Mbs) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large, row %d max %d",im[i],baij->Mbs);
455 #endif
456     if (im[i] >= rstart && im[i] < rend) {
457       row = im[i] - rstart;
458       for (j=0; j<n; j++) {
459         /* If NumCol = 1 then a copy is not required */
460         if ((roworiented) && (n == 1)) {
461           barray = v + i*bs2;
462         } else if((!roworiented) && (m == 1)) {
463           barray = v + j*bs2;
464         } else { /* Here a copy is required */
465           if (roworiented) {
466             value = v + i*(stepval+bs)*bs + j*bs;
467           } else {
468             value = v + j*(stepval+bs)*bs + i*bs;
469           }
470           for (ii=0; ii<bs; ii++,value+=stepval) {
471             for (jj=0; jj<bs; jj++) {
472               *barray++  = *value++;
473             }
474           }
475           barray -=bs2;
476         }
477 
478         if (in[j] >= cstart && in[j] < cend){
479           col  = in[j] - cstart;
480           ierr = MatSetValuesBlocked_SeqSBAIJ(baij->A,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
481         }
482         else if (in[j] < 0) continue;
483 #if defined(PETSC_USE_BOPT_g)
484         else if (in[j] >= baij->Nbs) {SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large, col %d max %d",in[j],baij->Nbs);}
485 #endif
486         else {
487           if (mat->was_assembled) {
488             if (!baij->colmap) {
489               ierr = CreateColmap_MPISBAIJ_Private(mat);CHKERRQ(ierr);
490             }
491 
492 #if defined(PETSC_USE_BOPT_g)
493 #if defined (PETSC_USE_CTABLE)
494             { int data;
495               ierr = PetscTableFind(baij->colmap,in[j]+1,&data);CHKERRQ(ierr);
496               if ((data - 1) % bs) SETERRQ(PETSC_ERR_PLIB,"Incorrect colmap");
497             }
498 #else
499             if ((baij->colmap[in[j]] - 1) % bs) SETERRQ(PETSC_ERR_PLIB,"Incorrect colmap");
500 #endif
501 #endif
502 #if defined (PETSC_USE_CTABLE)
503 	    ierr = PetscTableFind(baij->colmap,in[j]+1,&col);CHKERRQ(ierr);
504             col  = (col - 1)/bs;
505 #else
506             col = (baij->colmap[in[j]] - 1)/bs;
507 #endif
508             if (col < 0 && !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
509               ierr = DisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
510               col =  in[j];
511             }
512           }
513           else col = in[j];
514           ierr = MatSetValuesBlocked_SeqSBAIJ(baij->B,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
515         }
516       }
517     } else {
518       if (!baij->donotstash) {
519         if (roworiented) {
520           ierr = MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
521         } else {
522           ierr = MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
523         }
524       }
525     }
526   }
527   PetscFunctionReturn(0);
528 }
529 
530 #define HASH_KEY 0.6180339887
531 #define HASH(size,key,tmp) (tmp = (key)*HASH_KEY,(int)((size)*(tmp-(int)tmp)))
532 /* #define HASH(size,key) ((int)((size)*fmod(((key)*HASH_KEY),1))) */
533 /* #define HASH(size,key,tmp) ((int)((size)*fmod(((key)*HASH_KEY),1))) */
534 #undef __FUNCT__
535 #define __FUNCT__ "MatSetValues_MPISBAIJ_HT_MatScalar"
536 int MatSetValues_MPISBAIJ_HT_MatScalar(Mat mat,int m,int *im,int n,int *in,MatScalar *v,InsertMode addv)
537 {
538   PetscFunctionBegin;
539   SETERRQ(1,"Function not yet written for SBAIJ format");
540   /* PetscFunctionReturn(0); */
541 }
542 
543 #undef __FUNCT__
544 #define __FUNCT__ "MatSetValuesBlocked_MPISBAIJ_HT_MatScalar"
545 int MatSetValuesBlocked_MPISBAIJ_HT_MatScalar(Mat mat,int m,int *im,int n,int *in,MatScalar *v,InsertMode addv)
546 {
547   PetscFunctionBegin;
548   SETERRQ(1,"Function not yet written for SBAIJ format");
549   /* PetscFunctionReturn(0); */
550 }
551 
552 #undef __FUNCT__
553 #define __FUNCT__ "MatGetValues_MPISBAIJ"
554 int MatGetValues_MPISBAIJ(Mat mat,int m,int *idxm,int n,int *idxn,PetscScalar *v)
555 {
556   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
557   int          bs=baij->bs,ierr,i,j,bsrstart = baij->rstart*bs,bsrend = baij->rend*bs;
558   int          bscstart = baij->cstart*bs,bscend = baij->cend*bs,row,col,data;
559 
560   PetscFunctionBegin;
561   for (i=0; i<m; i++) {
562     if (idxm[i] < 0) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Negative row");
563     if (idxm[i] >= mat->M) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Row too large");
564     if (idxm[i] >= bsrstart && idxm[i] < bsrend) {
565       row = idxm[i] - bsrstart;
566       for (j=0; j<n; j++) {
567         if (idxn[j] < 0) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Negative column");
568         if (idxn[j] >= mat->N) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Column too large");
569         if (idxn[j] >= bscstart && idxn[j] < bscend){
570           col = idxn[j] - bscstart;
571           ierr = MatGetValues_SeqSBAIJ(baij->A,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
572         } else {
573           if (!baij->colmap) {
574             ierr = CreateColmap_MPISBAIJ_Private(mat);CHKERRQ(ierr);
575           }
576 #if defined (PETSC_USE_CTABLE)
577           ierr = PetscTableFind(baij->colmap,idxn[j]/bs+1,&data);CHKERRQ(ierr);
578           data --;
579 #else
580           data = baij->colmap[idxn[j]/bs]-1;
581 #endif
582           if((data < 0) || (baij->garray[data/bs] != idxn[j]/bs)) *(v+i*n+j) = 0.0;
583           else {
584             col  = data + idxn[j]%bs;
585             ierr = MatGetValues_SeqSBAIJ(baij->B,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
586           }
587         }
588       }
589     } else {
590       SETERRQ(PETSC_ERR_SUP,"Only local values currently supported");
591     }
592   }
593  PetscFunctionReturn(0);
594 }
595 
596 #undef __FUNCT__
597 #define __FUNCT__ "MatNorm_MPISBAIJ"
598 int MatNorm_MPISBAIJ(Mat mat,NormType type,PetscReal *norm)
599 {
600   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
601   /* Mat_SeqSBAIJ *amat = (Mat_SeqSBAIJ*)baij->A->data; */
602   /* Mat_SeqBAIJ  *bmat = (Mat_SeqBAIJ*)baij->B->data; */
603   int        ierr;
604   PetscReal  sum[2],*lnorm2;
605 
606   PetscFunctionBegin;
607   if (baij->size == 1) {
608     ierr =  MatNorm(baij->A,type,norm);CHKERRQ(ierr);
609   } else {
610     if (type == NORM_FROBENIUS) {
611       ierr = PetscMalloc(2*sizeof(PetscReal),&lnorm2);CHKERRQ(ierr);
612       ierr =  MatNorm(baij->A,type,lnorm2);CHKERRQ(ierr);
613       *lnorm2 = (*lnorm2)*(*lnorm2); lnorm2++;            /* squar power of norm(A) */
614       ierr =  MatNorm(baij->B,type,lnorm2);CHKERRQ(ierr);
615       *lnorm2 = (*lnorm2)*(*lnorm2); lnorm2--;             /* squar power of norm(B) */
616       /*
617       ierr = MPI_Comm_rank(mat->comm,&rank);CHKERRQ(ierr);
618       PetscSynchronizedPrintf(mat->comm,"[%d], lnorm2=%g, %g\n",rank,lnorm2[0],lnorm2[1]);
619       */
620       ierr = MPI_Allreduce(lnorm2,&sum,2,MPIU_REAL,MPI_SUM,mat->comm);CHKERRQ(ierr);
621       /*
622       PetscSynchronizedPrintf(mat->comm,"[%d], sum=%g, %g\n",rank,sum[0],sum[1]);
623       PetscSynchronizedFlush(mat->comm); */
624 
625       *norm = sqrt(sum[0] + 2*sum[1]);
626       ierr = PetscFree(lnorm2);CHKERRQ(ierr);
627     } else {
628       SETERRQ(PETSC_ERR_SUP,"No support for this norm yet");
629     }
630   }
631   PetscFunctionReturn(0);
632 }
633 
634 /*
635   Creates the hash table, and sets the table
636   This table is created only once.
637   If new entried need to be added to the matrix
638   then the hash table has to be destroyed and
639   recreated.
640 */
641 #undef __FUNCT__
642 #define __FUNCT__ "MatCreateHashTable_MPISBAIJ_Private"
643 int MatCreateHashTable_MPISBAIJ_Private(Mat mat,PetscReal factor)
644 {
645   PetscFunctionBegin;
646   SETERRQ(1,"Function not yet written for SBAIJ format");
647   /* PetscFunctionReturn(0); */
648 }
649 
650 #undef __FUNCT__
651 #define __FUNCT__ "MatAssemblyBegin_MPISBAIJ"
652 int MatAssemblyBegin_MPISBAIJ(Mat mat,MatAssemblyType mode)
653 {
654   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
655   int         ierr,nstash,reallocs;
656   InsertMode  addv;
657 
658   PetscFunctionBegin;
659   if (baij->donotstash) {
660     PetscFunctionReturn(0);
661   }
662 
663   /* make sure all processors are either in INSERTMODE or ADDMODE */
664   ierr = MPI_Allreduce(&mat->insertmode,&addv,1,MPI_INT,MPI_BOR,mat->comm);CHKERRQ(ierr);
665   if (addv == (ADD_VALUES|INSERT_VALUES)) {
666     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Some processors inserted others added");
667   }
668   mat->insertmode = addv; /* in case this processor had no cache */
669 
670   ierr = MatStashScatterBegin_Private(&mat->stash,baij->rowners_bs);CHKERRQ(ierr);
671   ierr = MatStashScatterBegin_Private(&mat->bstash,baij->rowners);CHKERRQ(ierr);
672   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
673   PetscLogInfo(0,"MatAssemblyBegin_MPISBAIJ:Stash has %d entries,uses %d mallocs.\n",nstash,reallocs);
674   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
675   PetscLogInfo(0,"MatAssemblyBegin_MPISBAIJ:Block-Stash has %d entries, uses %d mallocs.\n",nstash,reallocs);
676   PetscFunctionReturn(0);
677 }
678 
679 #undef __FUNCT__
680 #define __FUNCT__ "MatAssemblyEnd_MPISBAIJ"
681 int MatAssemblyEnd_MPISBAIJ(Mat mat,MatAssemblyType mode)
682 {
683   Mat_MPISBAIJ *baij=(Mat_MPISBAIJ*)mat->data;
684   Mat_SeqSBAIJ  *a=(Mat_SeqSBAIJ*)baij->A->data;
685   Mat_SeqBAIJ  *b=(Mat_SeqBAIJ*)baij->B->data;
686   int         i,j,rstart,ncols,n,ierr,flg,bs2=baij->bs2;
687   int         *row,*col,other_disassembled;
688   PetscTruth  r1,r2,r3;
689   MatScalar   *val;
690   InsertMode  addv = mat->insertmode;
691 #if defined(PETSC_HAVE_SPOOLES) || defined(PETSC_HAVE_MUMPS)
692   PetscTruth  flag;
693 #endif
694 
695   PetscFunctionBegin;
696 
697   if (!baij->donotstash) {
698     while (1) {
699       ierr = MatStashScatterGetMesg_Private(&mat->stash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
700       /*
701       PetscSynchronizedPrintf(mat->comm,"[%d]: in AssemblyEnd, stash, flg=%d\n",rank,flg);
702       PetscSynchronizedFlush(mat->comm);
703       */
704       if (!flg) break;
705 
706       for (i=0; i<n;) {
707         /* Now identify the consecutive vals belonging to the same row */
708         for (j=i,rstart=row[j]; j<n; j++) { if (row[j] != rstart) break; }
709         if (j < n) ncols = j-i;
710         else       ncols = n-i;
711         /* Now assemble all these values with a single function call */
712         ierr = MatSetValues_MPISBAIJ_MatScalar(mat,1,row+i,ncols,col+i,val+i,addv);CHKERRQ(ierr);
713         i = j;
714       }
715     }
716     ierr = MatStashScatterEnd_Private(&mat->stash);CHKERRQ(ierr);
717     /* Now process the block-stash. Since the values are stashed column-oriented,
718        set the roworiented flag to column oriented, and after MatSetValues()
719        restore the original flags */
720     r1 = baij->roworiented;
721     r2 = a->roworiented;
722     r3 = b->roworiented;
723     baij->roworiented = PETSC_FALSE;
724     a->roworiented    = PETSC_FALSE;
725     b->roworiented    = PETSC_FALSE;
726     while (1) {
727       ierr = MatStashScatterGetMesg_Private(&mat->bstash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
728       if (!flg) break;
729 
730       for (i=0; i<n;) {
731         /* Now identify the consecutive vals belonging to the same row */
732         for (j=i,rstart=row[j]; j<n; j++) { if (row[j] != rstart) break; }
733         if (j < n) ncols = j-i;
734         else       ncols = n-i;
735         ierr = MatSetValuesBlocked_MPISBAIJ_MatScalar(mat,1,row+i,ncols,col+i,val+i*bs2,addv);CHKERRQ(ierr);
736         i = j;
737       }
738     }
739     ierr = MatStashScatterEnd_Private(&mat->bstash);CHKERRQ(ierr);
740     baij->roworiented = r1;
741     a->roworiented    = r2;
742     b->roworiented    = r3;
743   }
744 
745   ierr = MatAssemblyBegin(baij->A,mode);CHKERRQ(ierr);
746   ierr = MatAssemblyEnd(baij->A,mode);CHKERRQ(ierr);
747 
748   /* determine if any processor has disassembled, if so we must
749      also disassemble ourselfs, in order that we may reassemble. */
750   /*
751      if nonzero structure of submatrix B cannot change then we know that
752      no processor disassembled thus we can skip this stuff
753   */
754   if (!((Mat_SeqBAIJ*)baij->B->data)->nonew)  {
755     ierr = MPI_Allreduce(&mat->was_assembled,&other_disassembled,1,MPI_INT,MPI_PROD,mat->comm);CHKERRQ(ierr);
756     if (mat->was_assembled && !other_disassembled) {
757       ierr = DisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
758     }
759   }
760 
761   if (!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) {
762     ierr = MatSetUpMultiply_MPISBAIJ(mat);CHKERRQ(ierr); /* setup Mvctx and sMvctx */
763   }
764   ierr = MatAssemblyBegin(baij->B,mode);CHKERRQ(ierr);
765   ierr = MatAssemblyEnd(baij->B,mode);CHKERRQ(ierr);
766 
767 #if defined(PETSC_USE_BOPT_g)
768   if (baij->ht && mode== MAT_FINAL_ASSEMBLY) {
769     PetscLogInfo(0,"MatAssemblyEnd_MPISBAIJ:Average Hash Table Search in MatSetValues = %5.2f\n",((PetscReal)baij->ht_total_ct)/baij->ht_insert_ct);
770     baij->ht_total_ct  = 0;
771     baij->ht_insert_ct = 0;
772   }
773 #endif
774   if (baij->ht_flag && !baij->ht && mode == MAT_FINAL_ASSEMBLY) {
775     ierr = MatCreateHashTable_MPISBAIJ_Private(mat,baij->ht_fact);CHKERRQ(ierr);
776     mat->ops->setvalues        = MatSetValues_MPISBAIJ_HT;
777     mat->ops->setvaluesblocked = MatSetValuesBlocked_MPISBAIJ_HT;
778   }
779 
780   if (baij->rowvalues) {
781     ierr = PetscFree(baij->rowvalues);CHKERRQ(ierr);
782     baij->rowvalues = 0;
783   }
784 
785 #if defined(PETSC_HAVE_SPOOLES)
786   ierr = PetscOptionsHasName(mat->prefix,"-mat_sbaij_spooles",&flag);CHKERRQ(ierr);
787   if (flag) { ierr = MatUseSpooles_MPISBAIJ(mat);CHKERRQ(ierr); }
788 #endif
789 #if defined(PETSC_HAVE_MUMPS)
790   ierr = PetscOptionsHasName(mat->prefix,"-mat_sbaij_mumps",&flag);CHKERRQ(ierr);
791   if (flag) { ierr = MatUseMUMPS_MPIAIJ(mat);CHKERRQ(ierr); }
792 #endif
793   PetscFunctionReturn(0);
794 }
795 
796 #undef __FUNCT__
797 #define __FUNCT__ "MatView_MPISBAIJ_ASCIIorDraworSocket"
798 static int MatView_MPISBAIJ_ASCIIorDraworSocket(Mat mat,PetscViewer viewer)
799 {
800   Mat_MPISBAIJ      *baij = (Mat_MPISBAIJ*)mat->data;
801   int               ierr,bs = baij->bs,size = baij->size,rank = baij->rank;
802   PetscTruth        isascii,isdraw;
803   PetscViewer       sviewer;
804   PetscViewerFormat format;
805 
806   PetscFunctionBegin;
807   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&isascii);CHKERRQ(ierr);
808   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_DRAW,&isdraw);CHKERRQ(ierr);
809   if (isascii) {
810     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
811     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
812       MatInfo info;
813       ierr = MPI_Comm_rank(mat->comm,&rank);CHKERRQ(ierr);
814       ierr = MatGetInfo(mat,MAT_LOCAL,&info);CHKERRQ(ierr);
815       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] Local rows %d nz %d nz alloced %d bs %d mem %d\n",
816               rank,mat->m,(int)info.nz_used*bs,(int)info.nz_allocated*bs,
817               baij->bs,(int)info.memory);CHKERRQ(ierr);
818       ierr = MatGetInfo(baij->A,MAT_LOCAL,&info);CHKERRQ(ierr);
819       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] on-diagonal part: nz %d \n",rank,(int)info.nz_used*bs);CHKERRQ(ierr);
820       ierr = MatGetInfo(baij->B,MAT_LOCAL,&info);CHKERRQ(ierr);
821       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] off-diagonal part: nz %d \n",rank,(int)info.nz_used*bs);CHKERRQ(ierr);
822       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
823       ierr = VecScatterView(baij->Mvctx,viewer);CHKERRQ(ierr);
824       PetscFunctionReturn(0);
825     } else if (format == PETSC_VIEWER_ASCII_INFO) {
826       ierr = PetscViewerASCIIPrintf(viewer,"  block size is %d\n",bs);CHKERRQ(ierr);
827       PetscFunctionReturn(0);
828     }
829   }
830 
831   if (isdraw) {
832     PetscDraw       draw;
833     PetscTruth isnull;
834     ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
835     ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
836   }
837 
838   if (size == 1) {
839     ierr = PetscObjectSetName((PetscObject)baij->A,mat->name);CHKERRQ(ierr);
840     ierr = MatView(baij->A,viewer);CHKERRQ(ierr);
841   } else {
842     /* assemble the entire matrix onto first processor. */
843     Mat         A;
844     Mat_SeqSBAIJ *Aloc;
845     Mat_SeqBAIJ *Bloc;
846     int         M = mat->M,N = mat->N,*ai,*aj,col,i,j,k,*rvals,mbs = baij->mbs;
847     MatScalar   *a;
848 
849     if (!rank) {
850       ierr = MatCreateMPISBAIJ(mat->comm,baij->bs,M,N,M,N,0,PETSC_NULL,0,PETSC_NULL,&A);CHKERRQ(ierr);
851     } else {
852       ierr = MatCreateMPISBAIJ(mat->comm,baij->bs,0,0,M,N,0,PETSC_NULL,0,PETSC_NULL,&A);CHKERRQ(ierr);
853     }
854     PetscLogObjectParent(mat,A);
855 
856     /* copy over the A part */
857     Aloc  = (Mat_SeqSBAIJ*)baij->A->data;
858     ai    = Aloc->i; aj = Aloc->j; a = Aloc->a;
859     ierr  = PetscMalloc(bs*sizeof(int),&rvals);CHKERRQ(ierr);
860 
861     for (i=0; i<mbs; i++) {
862       rvals[0] = bs*(baij->rstart + i);
863       for (j=1; j<bs; j++) { rvals[j] = rvals[j-1] + 1; }
864       for (j=ai[i]; j<ai[i+1]; j++) {
865         col = (baij->cstart+aj[j])*bs;
866         for (k=0; k<bs; k++) {
867           ierr = MatSetValues_MPISBAIJ_MatScalar(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
868           col++; a += bs;
869         }
870       }
871     }
872     /* copy over the B part */
873     Bloc = (Mat_SeqBAIJ*)baij->B->data;
874     ai = Bloc->i; aj = Bloc->j; a = Bloc->a;
875     for (i=0; i<mbs; i++) {
876       rvals[0] = bs*(baij->rstart + i);
877       for (j=1; j<bs; j++) { rvals[j] = rvals[j-1] + 1; }
878       for (j=ai[i]; j<ai[i+1]; j++) {
879         col = baij->garray[aj[j]]*bs;
880         for (k=0; k<bs; k++) {
881           ierr = MatSetValues_MPISBAIJ_MatScalar(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
882           col++; a += bs;
883         }
884       }
885     }
886     ierr = PetscFree(rvals);CHKERRQ(ierr);
887     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
888     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
889     /*
890        Everyone has to call to draw the matrix since the graphics waits are
891        synchronized across all processors that share the PetscDraw object
892     */
893     ierr = PetscViewerGetSingleton(viewer,&sviewer);CHKERRQ(ierr);
894     if (!rank) {
895       ierr = PetscObjectSetName((PetscObject)((Mat_MPISBAIJ*)(A->data))->A,mat->name);CHKERRQ(ierr);
896       ierr = MatView(((Mat_MPISBAIJ*)(A->data))->A,sviewer);CHKERRQ(ierr);
897     }
898     ierr = PetscViewerRestoreSingleton(viewer,&sviewer);CHKERRQ(ierr);
899     ierr = MatDestroy(A);CHKERRQ(ierr);
900   }
901   PetscFunctionReturn(0);
902 }
903 
904 #undef __FUNCT__
905 #define __FUNCT__ "MatView_MPISBAIJ"
906 int MatView_MPISBAIJ(Mat mat,PetscViewer viewer)
907 {
908   int        ierr;
909   PetscTruth isascii,isdraw,issocket,isbinary;
910 
911   PetscFunctionBegin;
912   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&isascii);CHKERRQ(ierr);
913   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_DRAW,&isdraw);CHKERRQ(ierr);
914   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_SOCKET,&issocket);CHKERRQ(ierr);
915   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_BINARY,&isbinary);CHKERRQ(ierr);
916   if (isascii || isdraw || issocket || isbinary) {
917     ierr = MatView_MPISBAIJ_ASCIIorDraworSocket(mat,viewer);CHKERRQ(ierr);
918   } else {
919     SETERRQ1(1,"Viewer type %s not supported by MPISBAIJ matrices",((PetscObject)viewer)->type_name);
920   }
921   PetscFunctionReturn(0);
922 }
923 
924 #undef __FUNCT__
925 #define __FUNCT__ "MatDestroy_MPISBAIJ"
926 int MatDestroy_MPISBAIJ(Mat mat)
927 {
928   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
929   int         ierr;
930 
931   PetscFunctionBegin;
932 #if defined(PETSC_USE_LOG)
933   PetscLogObjectState((PetscObject)mat,"Rows=%d,Cols=%d",mat->M,mat->N);
934 #endif
935   ierr = MatStashDestroy_Private(&mat->stash);CHKERRQ(ierr);
936   ierr = MatStashDestroy_Private(&mat->bstash);CHKERRQ(ierr);
937   ierr = PetscFree(baij->rowners);CHKERRQ(ierr);
938   ierr = MatDestroy(baij->A);CHKERRQ(ierr);
939   ierr = MatDestroy(baij->B);CHKERRQ(ierr);
940 #if defined (PETSC_USE_CTABLE)
941   if (baij->colmap) {ierr = PetscTableDelete(baij->colmap);CHKERRQ(ierr);}
942 #else
943   if (baij->colmap) {ierr = PetscFree(baij->colmap);CHKERRQ(ierr);}
944 #endif
945   if (baij->garray) {ierr = PetscFree(baij->garray);CHKERRQ(ierr);}
946   if (baij->lvec)   {ierr = VecDestroy(baij->lvec);CHKERRQ(ierr);}
947   if (baij->Mvctx)  {ierr = VecScatterDestroy(baij->Mvctx);CHKERRQ(ierr);}
948   if (baij->slvec0) {
949     ierr = VecDestroy(baij->slvec0);CHKERRQ(ierr);
950     ierr = VecDestroy(baij->slvec0b);CHKERRQ(ierr);
951   }
952   if (baij->slvec1) {
953     ierr = VecDestroy(baij->slvec1);CHKERRQ(ierr);
954     ierr = VecDestroy(baij->slvec1a);CHKERRQ(ierr);
955     ierr = VecDestroy(baij->slvec1b);CHKERRQ(ierr);
956   }
957   if (baij->sMvctx)  {ierr = VecScatterDestroy(baij->sMvctx);CHKERRQ(ierr);}
958   if (baij->rowvalues) {ierr = PetscFree(baij->rowvalues);CHKERRQ(ierr);}
959   if (baij->barray) {ierr = PetscFree(baij->barray);CHKERRQ(ierr);}
960   if (baij->hd) {ierr = PetscFree(baij->hd);CHKERRQ(ierr);}
961 #if defined(PETSC_USE_MAT_SINGLE)
962   if (baij->setvaluescopy) {ierr = PetscFree(baij->setvaluescopy);CHKERRQ(ierr);}
963 #endif
964   ierr = PetscFree(baij);CHKERRQ(ierr);
965   PetscFunctionReturn(0);
966 }
967 
968 #undef __FUNCT__
969 #define __FUNCT__ "MatMult_MPISBAIJ"
970 int MatMult_MPISBAIJ(Mat A,Vec xx,Vec yy)
971 {
972   Mat_MPISBAIJ *a = (Mat_MPISBAIJ*)A->data;
973   int         ierr,nt,mbs=a->mbs,bs=a->bs;
974   PetscScalar *x,*from,zero=0.0;
975 
976   PetscFunctionBegin;
977   /*
978   PetscSynchronizedPrintf(A->comm," _1comm is called ...\n");
979   PetscSynchronizedFlush(A->comm);
980   */
981   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
982   if (nt != A->n) {
983     SETERRQ(PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
984   }
985   ierr = VecGetLocalSize(yy,&nt);CHKERRQ(ierr);
986   if (nt != A->m) {
987     SETERRQ(PETSC_ERR_ARG_SIZ,"Incompatible parition of A and yy");
988   }
989 
990   /* diagonal part */
991   ierr = (*a->A->ops->mult)(a->A,xx,a->slvec1a);CHKERRQ(ierr);
992   ierr = VecSet(&zero,a->slvec1b);CHKERRQ(ierr);
993 
994   /* subdiagonal part */
995   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
996 
997   /* copy x into the vec slvec0 */
998   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
999   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1000   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
1001   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
1002 
1003   ierr = VecScatterBegin(a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD,a->sMvctx);CHKERRQ(ierr);
1004   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1005   ierr = VecScatterEnd(a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD,a->sMvctx);CHKERRQ(ierr);
1006 
1007   /* supperdiagonal part */
1008   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,yy);CHKERRQ(ierr);
1009 
1010   PetscFunctionReturn(0);
1011 }
1012 
1013 #undef __FUNCT__
1014 #define __FUNCT__ "MatMult_MPISBAIJ_2comm"
1015 int MatMult_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy)
1016 {
1017   Mat_MPISBAIJ *a = (Mat_MPISBAIJ*)A->data;
1018   int         ierr,nt;
1019 
1020   PetscFunctionBegin;
1021   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
1022   if (nt != A->n) {
1023     SETERRQ(PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
1024   }
1025   ierr = VecGetLocalSize(yy,&nt);CHKERRQ(ierr);
1026   if (nt != A->m) {
1027     SETERRQ(PETSC_ERR_ARG_SIZ,"Incompatible parition of A and yy");
1028   }
1029 
1030   ierr = VecScatterBegin(xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD,a->Mvctx);CHKERRQ(ierr);
1031   /* do diagonal part */
1032   ierr = (*a->A->ops->mult)(a->A,xx,yy);CHKERRQ(ierr);
1033   /* do supperdiagonal part */
1034   ierr = VecScatterEnd(xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD,a->Mvctx);CHKERRQ(ierr);
1035   ierr = (*a->B->ops->multadd)(a->B,a->lvec,yy,yy);CHKERRQ(ierr);
1036   /* do subdiagonal part */
1037   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1038   ierr = VecScatterBegin(a->lvec,yy,ADD_VALUES,SCATTER_REVERSE,a->Mvctx);CHKERRQ(ierr);
1039   ierr = VecScatterEnd(a->lvec,yy,ADD_VALUES,SCATTER_REVERSE,a->Mvctx);CHKERRQ(ierr);
1040 
1041   PetscFunctionReturn(0);
1042 }
1043 
1044 #undef __FUNCT__
1045 #define __FUNCT__ "MatMultAdd_MPISBAIJ"
1046 int MatMultAdd_MPISBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1047 {
1048   Mat_MPISBAIJ *a = (Mat_MPISBAIJ*)A->data;
1049   int          ierr,mbs=a->mbs,bs=a->bs;
1050   PetscScalar  *x,*from,zero=0.0;
1051 
1052   PetscFunctionBegin;
1053   /*
1054   PetscSynchronizedPrintf(A->comm," MatMultAdd is called ...\n");
1055   PetscSynchronizedFlush(A->comm);
1056   */
1057   /* diagonal part */
1058   ierr = (*a->A->ops->multadd)(a->A,xx,yy,a->slvec1a);CHKERRQ(ierr);
1059   ierr = VecSet(&zero,a->slvec1b);CHKERRQ(ierr);
1060 
1061   /* subdiagonal part */
1062   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
1063 
1064   /* copy x into the vec slvec0 */
1065   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
1066   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1067   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
1068   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
1069 
1070   ierr = VecScatterBegin(a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD,a->sMvctx);CHKERRQ(ierr);
1071   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1072   ierr = VecScatterEnd(a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD,a->sMvctx);CHKERRQ(ierr);
1073 
1074   /* supperdiagonal part */
1075   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,zz);CHKERRQ(ierr);
1076 
1077   PetscFunctionReturn(0);
1078 }
1079 
1080 #undef __FUNCT__
1081 #define __FUNCT__ "MatMultAdd_MPISBAIJ_2comm"
1082 int MatMultAdd_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy,Vec zz)
1083 {
1084   Mat_MPISBAIJ *a = (Mat_MPISBAIJ*)A->data;
1085   int        ierr;
1086 
1087   PetscFunctionBegin;
1088   ierr = VecScatterBegin(xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD,a->Mvctx);CHKERRQ(ierr);
1089   /* do diagonal part */
1090   ierr = (*a->A->ops->multadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
1091   /* do supperdiagonal part */
1092   ierr = VecScatterEnd(xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD,a->Mvctx);CHKERRQ(ierr);
1093   ierr = (*a->B->ops->multadd)(a->B,a->lvec,zz,zz);CHKERRQ(ierr);
1094 
1095   /* do subdiagonal part */
1096   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1097   ierr = VecScatterBegin(a->lvec,zz,ADD_VALUES,SCATTER_REVERSE,a->Mvctx);CHKERRQ(ierr);
1098   ierr = VecScatterEnd(a->lvec,zz,ADD_VALUES,SCATTER_REVERSE,a->Mvctx);CHKERRQ(ierr);
1099 
1100   PetscFunctionReturn(0);
1101 }
1102 
1103 #undef __FUNCT__
1104 #define __FUNCT__ "MatMultTranspose_MPISBAIJ"
1105 int MatMultTranspose_MPISBAIJ(Mat A,Vec xx,Vec yy)
1106 {
1107   PetscFunctionBegin;
1108   SETERRQ(1,"Matrix is symmetric. Call MatMult().");
1109   /* PetscFunctionReturn(0); */
1110 }
1111 
1112 #undef __FUNCT__
1113 #define __FUNCT__ "MatMultTransposeAdd_MPISBAIJ"
1114 int MatMultTransposeAdd_MPISBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1115 {
1116   PetscFunctionBegin;
1117   SETERRQ(1,"Matrix is symmetric. Call MatMultAdd().");
1118   /* PetscFunctionReturn(0); */
1119 }
1120 
1121 /*
1122   This only works correctly for square matrices where the subblock A->A is the
1123    diagonal block
1124 */
1125 #undef __FUNCT__
1126 #define __FUNCT__ "MatGetDiagonal_MPISBAIJ"
1127 int MatGetDiagonal_MPISBAIJ(Mat A,Vec v)
1128 {
1129   Mat_MPISBAIJ *a = (Mat_MPISBAIJ*)A->data;
1130   int         ierr;
1131 
1132   PetscFunctionBegin;
1133   /* if (a->M != a->N) SETERRQ(PETSC_ERR_SUP,"Supports only square matrix where A->A is diag block"); */
1134   ierr = MatGetDiagonal(a->A,v);CHKERRQ(ierr);
1135   PetscFunctionReturn(0);
1136 }
1137 
1138 #undef __FUNCT__
1139 #define __FUNCT__ "MatScale_MPISBAIJ"
1140 int MatScale_MPISBAIJ(PetscScalar *aa,Mat A)
1141 {
1142   Mat_MPISBAIJ *a = (Mat_MPISBAIJ*)A->data;
1143   int         ierr;
1144 
1145   PetscFunctionBegin;
1146   ierr = MatScale(aa,a->A);CHKERRQ(ierr);
1147   ierr = MatScale(aa,a->B);CHKERRQ(ierr);
1148   PetscFunctionReturn(0);
1149 }
1150 
1151 #undef __FUNCT__
1152 #define __FUNCT__ "MatGetRow_MPISBAIJ"
1153 int MatGetRow_MPISBAIJ(Mat matin,int row,int *nz,int **idx,PetscScalar **v)
1154 {
1155   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
1156   PetscScalar    *vworkA,*vworkB,**pvA,**pvB,*v_p;
1157   int            bs = mat->bs,bs2 = mat->bs2,i,ierr,*cworkA,*cworkB,**pcA,**pcB;
1158   int            nztot,nzA,nzB,lrow,brstart = mat->rstart*bs,brend = mat->rend*bs;
1159   int            *cmap,*idx_p,cstart = mat->cstart;
1160 
1161   PetscFunctionBegin;
1162   if (mat->getrowactive == PETSC_TRUE) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Already active");
1163   mat->getrowactive = PETSC_TRUE;
1164 
1165   if (!mat->rowvalues && (idx || v)) {
1166     /*
1167         allocate enough space to hold information from the longest row.
1168     */
1169     Mat_SeqSBAIJ *Aa = (Mat_SeqSBAIJ*)mat->A->data;
1170     Mat_SeqBAIJ  *Ba = (Mat_SeqBAIJ*)mat->B->data;
1171     int     max = 1,mbs = mat->mbs,tmp;
1172     for (i=0; i<mbs; i++) {
1173       tmp = Aa->i[i+1] - Aa->i[i] + Ba->i[i+1] - Ba->i[i]; /* row length */
1174       if (max < tmp) { max = tmp; }
1175     }
1176     ierr = PetscMalloc(max*bs2*(sizeof(int)+sizeof(PetscScalar)),&mat->rowvalues);CHKERRQ(ierr);
1177     mat->rowindices = (int*)(mat->rowvalues + max*bs2);
1178   }
1179 
1180   if (row < brstart || row >= brend) SETERRQ(PETSC_ERR_SUP,"Only local rows")
1181   lrow = row - brstart;  /* local row index */
1182 
1183   pvA = &vworkA; pcA = &cworkA; pvB = &vworkB; pcB = &cworkB;
1184   if (!v)   {pvA = 0; pvB = 0;}
1185   if (!idx) {pcA = 0; if (!v) pcB = 0;}
1186   ierr = (*mat->A->ops->getrow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1187   ierr = (*mat->B->ops->getrow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1188   nztot = nzA + nzB;
1189 
1190   cmap  = mat->garray;
1191   if (v  || idx) {
1192     if (nztot) {
1193       /* Sort by increasing column numbers, assuming A and B already sorted */
1194       int imark = -1;
1195       if (v) {
1196         *v = v_p = mat->rowvalues;
1197         for (i=0; i<nzB; i++) {
1198           if (cmap[cworkB[i]/bs] < cstart)   v_p[i] = vworkB[i];
1199           else break;
1200         }
1201         imark = i;
1202         for (i=0; i<nzA; i++)     v_p[imark+i] = vworkA[i];
1203         for (i=imark; i<nzB; i++) v_p[nzA+i]   = vworkB[i];
1204       }
1205       if (idx) {
1206         *idx = idx_p = mat->rowindices;
1207         if (imark > -1) {
1208           for (i=0; i<imark; i++) {
1209             idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1210           }
1211         } else {
1212           for (i=0; i<nzB; i++) {
1213             if (cmap[cworkB[i]/bs] < cstart)
1214               idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1215             else break;
1216           }
1217           imark = i;
1218         }
1219         for (i=0; i<nzA; i++)     idx_p[imark+i] = cstart*bs + cworkA[i];
1220         for (i=imark; i<nzB; i++) idx_p[nzA+i]   = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1221       }
1222     } else {
1223       if (idx) *idx = 0;
1224       if (v)   *v   = 0;
1225     }
1226   }
1227   *nz = nztot;
1228   ierr = (*mat->A->ops->restorerow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1229   ierr = (*mat->B->ops->restorerow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1230   PetscFunctionReturn(0);
1231 }
1232 
1233 #undef __FUNCT__
1234 #define __FUNCT__ "MatRestoreRow_MPISBAIJ"
1235 int MatRestoreRow_MPISBAIJ(Mat mat,int row,int *nz,int **idx,PetscScalar **v)
1236 {
1237   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
1238 
1239   PetscFunctionBegin;
1240   if (baij->getrowactive == PETSC_FALSE) {
1241     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"MatGetRow not called");
1242   }
1243   baij->getrowactive = PETSC_FALSE;
1244   PetscFunctionReturn(0);
1245 }
1246 
1247 #undef __FUNCT__
1248 #define __FUNCT__ "MatGetBlockSize_MPISBAIJ"
1249 int MatGetBlockSize_MPISBAIJ(Mat mat,int *bs)
1250 {
1251   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
1252 
1253   PetscFunctionBegin;
1254   *bs = baij->bs;
1255   PetscFunctionReturn(0);
1256 }
1257 
1258 #undef __FUNCT__
1259 #define __FUNCT__ "MatZeroEntries_MPISBAIJ"
1260 int MatZeroEntries_MPISBAIJ(Mat A)
1261 {
1262   Mat_MPISBAIJ *l = (Mat_MPISBAIJ*)A->data;
1263   int         ierr;
1264 
1265   PetscFunctionBegin;
1266   ierr = MatZeroEntries(l->A);CHKERRQ(ierr);
1267   ierr = MatZeroEntries(l->B);CHKERRQ(ierr);
1268   PetscFunctionReturn(0);
1269 }
1270 
1271 #undef __FUNCT__
1272 #define __FUNCT__ "MatGetInfo_MPISBAIJ"
1273 int MatGetInfo_MPISBAIJ(Mat matin,MatInfoType flag,MatInfo *info)
1274 {
1275   Mat_MPISBAIJ *a = (Mat_MPISBAIJ*)matin->data;
1276   Mat         A = a->A,B = a->B;
1277   int         ierr;
1278   PetscReal   isend[5],irecv[5];
1279 
1280   PetscFunctionBegin;
1281   info->block_size     = (PetscReal)a->bs;
1282   ierr = MatGetInfo(A,MAT_LOCAL,info);CHKERRQ(ierr);
1283   isend[0] = info->nz_used; isend[1] = info->nz_allocated; isend[2] = info->nz_unneeded;
1284   isend[3] = info->memory;  isend[4] = info->mallocs;
1285   ierr = MatGetInfo(B,MAT_LOCAL,info);CHKERRQ(ierr);
1286   isend[0] += info->nz_used; isend[1] += info->nz_allocated; isend[2] += info->nz_unneeded;
1287   isend[3] += info->memory;  isend[4] += info->mallocs;
1288   if (flag == MAT_LOCAL) {
1289     info->nz_used      = isend[0];
1290     info->nz_allocated = isend[1];
1291     info->nz_unneeded  = isend[2];
1292     info->memory       = isend[3];
1293     info->mallocs      = isend[4];
1294   } else if (flag == MAT_GLOBAL_MAX) {
1295     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPI_MAX,matin->comm);CHKERRQ(ierr);
1296     info->nz_used      = irecv[0];
1297     info->nz_allocated = irecv[1];
1298     info->nz_unneeded  = irecv[2];
1299     info->memory       = irecv[3];
1300     info->mallocs      = irecv[4];
1301   } else if (flag == MAT_GLOBAL_SUM) {
1302     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPI_SUM,matin->comm);CHKERRQ(ierr);
1303     info->nz_used      = irecv[0];
1304     info->nz_allocated = irecv[1];
1305     info->nz_unneeded  = irecv[2];
1306     info->memory       = irecv[3];
1307     info->mallocs      = irecv[4];
1308   } else {
1309     SETERRQ1(1,"Unknown MatInfoType argument %d",flag);
1310   }
1311   info->rows_global       = (PetscReal)A->M;
1312   info->columns_global    = (PetscReal)A->N;
1313   info->rows_local        = (PetscReal)A->m;
1314   info->columns_local     = (PetscReal)A->N;
1315   info->fill_ratio_given  = 0; /* no parallel LU/ILU/Cholesky */
1316   info->fill_ratio_needed = 0;
1317   info->factor_mallocs    = 0;
1318   PetscFunctionReturn(0);
1319 }
1320 
1321 #undef __FUNCT__
1322 #define __FUNCT__ "MatSetOption_MPISBAIJ"
1323 int MatSetOption_MPISBAIJ(Mat A,MatOption op)
1324 {
1325   Mat_MPISBAIJ *a = (Mat_MPISBAIJ*)A->data;
1326   int         ierr;
1327 
1328   PetscFunctionBegin;
1329   switch (op) {
1330   case MAT_NO_NEW_NONZERO_LOCATIONS:
1331   case MAT_YES_NEW_NONZERO_LOCATIONS:
1332   case MAT_COLUMNS_UNSORTED:
1333   case MAT_COLUMNS_SORTED:
1334   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1335   case MAT_KEEP_ZEROED_ROWS:
1336   case MAT_NEW_NONZERO_LOCATION_ERR:
1337     ierr = MatSetOption(a->A,op);CHKERRQ(ierr);
1338     ierr = MatSetOption(a->B,op);CHKERRQ(ierr);
1339     break;
1340   case MAT_ROW_ORIENTED:
1341     a->roworiented = PETSC_TRUE;
1342     ierr = MatSetOption(a->A,op);CHKERRQ(ierr);
1343     ierr = MatSetOption(a->B,op);CHKERRQ(ierr);
1344     break;
1345   case MAT_ROWS_SORTED:
1346   case MAT_ROWS_UNSORTED:
1347   case MAT_YES_NEW_DIAGONALS:
1348     PetscLogInfo(A,"Info:MatSetOption_MPIBAIJ:Option ignored\n");
1349     break;
1350   case MAT_COLUMN_ORIENTED:
1351     a->roworiented = PETSC_FALSE;
1352     ierr = MatSetOption(a->A,op);CHKERRQ(ierr);
1353     ierr = MatSetOption(a->B,op);CHKERRQ(ierr);
1354     break;
1355   case MAT_IGNORE_OFF_PROC_ENTRIES:
1356     a->donotstash = PETSC_TRUE;
1357     break;
1358   case MAT_NO_NEW_DIAGONALS:
1359     SETERRQ(PETSC_ERR_SUP,"MAT_NO_NEW_DIAGONALS");
1360   case MAT_USE_HASH_TABLE:
1361     a->ht_flag = PETSC_TRUE;
1362     break;
1363   default:
1364     SETERRQ(PETSC_ERR_SUP,"unknown option");
1365   }
1366   PetscFunctionReturn(0);
1367 }
1368 
1369 #undef __FUNCT__
1370 #define __FUNCT__ "MatTranspose_MPISBAIJ"
1371 int MatTranspose_MPISBAIJ(Mat A,Mat *B)
1372 {
1373   int ierr;
1374   PetscFunctionBegin;
1375   ierr = MatDuplicate(A,MAT_COPY_VALUES,B);CHKERRQ(ierr);
1376   PetscFunctionReturn(0);
1377 }
1378 
1379 #undef __FUNCT__
1380 #define __FUNCT__ "MatDiagonalScale_MPISBAIJ"
1381 int MatDiagonalScale_MPISBAIJ(Mat mat,Vec ll,Vec rr)
1382 {
1383   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
1384   Mat         a = baij->A,b = baij->B;
1385   int         ierr,s1,s2,s3;
1386 
1387   PetscFunctionBegin;
1388   if (ll != rr) {
1389     SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"For symmetric format, left and right scaling vectors must be same\n");
1390   }
1391   ierr = MatGetLocalSize(mat,&s2,&s3);CHKERRQ(ierr);
1392   if (rr) {
1393     ierr = VecGetLocalSize(rr,&s1);CHKERRQ(ierr);
1394     if (s1!=s3) SETERRQ(PETSC_ERR_ARG_SIZ,"right vector non-conforming local size");
1395     /* Overlap communication with computation. */
1396     ierr = VecScatterBegin(rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD,baij->Mvctx);CHKERRQ(ierr);
1397     /*} if (ll) { */
1398     ierr = VecGetLocalSize(ll,&s1);CHKERRQ(ierr);
1399     if (s1!=s2) SETERRQ(PETSC_ERR_ARG_SIZ,"left vector non-conforming local size");
1400     ierr = (*b->ops->diagonalscale)(b,ll,PETSC_NULL);CHKERRQ(ierr);
1401     /* } */
1402   /* scale  the diagonal block */
1403   ierr = (*a->ops->diagonalscale)(a,ll,rr);CHKERRQ(ierr);
1404 
1405   /* if (rr) { */
1406     /* Do a scatter end and then right scale the off-diagonal block */
1407     ierr = VecScatterEnd(rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD,baij->Mvctx);CHKERRQ(ierr);
1408     ierr = (*b->ops->diagonalscale)(b,PETSC_NULL,baij->lvec);CHKERRQ(ierr);
1409   }
1410 
1411   PetscFunctionReturn(0);
1412 }
1413 
1414 #undef __FUNCT__
1415 #define __FUNCT__ "MatZeroRows_MPISBAIJ"
1416 int MatZeroRows_MPISBAIJ(Mat A,IS is,PetscScalar *diag)
1417 {
1418   PetscFunctionBegin;
1419   SETERRQ(PETSC_ERR_SUP,"No support for this function yet");
1420 }
1421 
1422 #undef __FUNCT__
1423 #define __FUNCT__ "MatPrintHelp_MPISBAIJ"
1424 int MatPrintHelp_MPISBAIJ(Mat A)
1425 {
1426   Mat_MPISBAIJ *a   = (Mat_MPISBAIJ*)A->data;
1427   MPI_Comm    comm = A->comm;
1428   static int  called = 0;
1429   int         ierr;
1430 
1431   PetscFunctionBegin;
1432   if (!a->rank) {
1433     ierr = MatPrintHelp_SeqSBAIJ(a->A);CHKERRQ(ierr);
1434   }
1435   if (called) {PetscFunctionReturn(0);} else called = 1;
1436   ierr = (*PetscHelpPrintf)(comm," Options for MATMPISBAIJ matrix format (the defaults):\n");CHKERRQ(ierr);
1437   ierr = (*PetscHelpPrintf)(comm,"  -mat_use_hash_table <factor>: Use hashtable for efficient matrix assembly\n");CHKERRQ(ierr);
1438   PetscFunctionReturn(0);
1439 }
1440 
1441 #undef __FUNCT__
1442 #define __FUNCT__ "MatSetUnfactored_MPISBAIJ"
1443 int MatSetUnfactored_MPISBAIJ(Mat A)
1444 {
1445   Mat_MPISBAIJ *a   = (Mat_MPISBAIJ*)A->data;
1446   int         ierr;
1447 
1448   PetscFunctionBegin;
1449   ierr = MatSetUnfactored(a->A);CHKERRQ(ierr);
1450   PetscFunctionReturn(0);
1451 }
1452 
1453 static int MatDuplicate_MPISBAIJ(Mat,MatDuplicateOption,Mat *);
1454 
1455 #undef __FUNCT__
1456 #define __FUNCT__ "MatEqual_MPISBAIJ"
1457 int MatEqual_MPISBAIJ(Mat A,Mat B,PetscTruth *flag)
1458 {
1459   Mat_MPISBAIJ *matB = (Mat_MPISBAIJ*)B->data,*matA = (Mat_MPISBAIJ*)A->data;
1460   Mat         a,b,c,d;
1461   PetscTruth  flg;
1462   int         ierr;
1463 
1464   PetscFunctionBegin;
1465   ierr = PetscTypeCompare((PetscObject)B,MATMPISBAIJ,&flg);CHKERRQ(ierr);
1466   if (!flg) SETERRQ(PETSC_ERR_ARG_INCOMP,"Matrices must be same type");
1467   a = matA->A; b = matA->B;
1468   c = matB->A; d = matB->B;
1469 
1470   ierr = MatEqual(a,c,&flg);CHKERRQ(ierr);
1471   if (flg == PETSC_TRUE) {
1472     ierr = MatEqual(b,d,&flg);CHKERRQ(ierr);
1473   }
1474   ierr = MPI_Allreduce(&flg,flag,1,MPI_INT,MPI_LAND,A->comm);CHKERRQ(ierr);
1475   PetscFunctionReturn(0);
1476 }
1477 
1478 #undef __FUNCT__
1479 #define __FUNCT__ "MatSetUpPreallocation_MPISBAIJ"
1480 int MatSetUpPreallocation_MPISBAIJ(Mat A)
1481 {
1482   int        ierr;
1483 
1484   PetscFunctionBegin;
1485   ierr = MatMPISBAIJSetPreallocation(A,1,PETSC_DEFAULT,0,PETSC_DEFAULT,0);CHKERRQ(ierr);
1486   PetscFunctionReturn(0);
1487 }
1488 /* -------------------------------------------------------------------*/
1489 static struct _MatOps MatOps_Values = {
1490   MatSetValues_MPISBAIJ,
1491   MatGetRow_MPISBAIJ,
1492   MatRestoreRow_MPISBAIJ,
1493   MatMult_MPISBAIJ,
1494   MatMultAdd_MPISBAIJ,
1495   MatMultTranspose_MPISBAIJ,
1496   MatMultTransposeAdd_MPISBAIJ,
1497   0,
1498   0,
1499   0,
1500   0,
1501   0,
1502   0,
1503   MatRelax_MPISBAIJ,
1504   MatTranspose_MPISBAIJ,
1505   MatGetInfo_MPISBAIJ,
1506   MatEqual_MPISBAIJ,
1507   MatGetDiagonal_MPISBAIJ,
1508   MatDiagonalScale_MPISBAIJ,
1509   MatNorm_MPISBAIJ,
1510   MatAssemblyBegin_MPISBAIJ,
1511   MatAssemblyEnd_MPISBAIJ,
1512   0,
1513   MatSetOption_MPISBAIJ,
1514   MatZeroEntries_MPISBAIJ,
1515   MatZeroRows_MPISBAIJ,
1516   0,
1517   0,
1518   0,
1519   0,
1520   MatSetUpPreallocation_MPISBAIJ,
1521   0,
1522   0,
1523   0,
1524   0,
1525   MatDuplicate_MPISBAIJ,
1526   0,
1527   0,
1528   0,
1529   0,
1530   0,
1531   0,
1532   0,
1533   MatGetValues_MPISBAIJ,
1534   0,
1535   MatPrintHelp_MPISBAIJ,
1536   MatScale_MPISBAIJ,
1537   0,
1538   0,
1539   0,
1540   MatGetBlockSize_MPISBAIJ,
1541   0,
1542   0,
1543   0,
1544   0,
1545   0,
1546   0,
1547   MatSetUnfactored_MPISBAIJ,
1548   0,
1549   MatSetValuesBlocked_MPISBAIJ,
1550   0,
1551   0,
1552   0,
1553   MatGetPetscMaps_Petsc,
1554   0,
1555   0,
1556   0,
1557   0,
1558   0,
1559   0,
1560   MatGetRowMax_MPISBAIJ};
1561 
1562 
1563 EXTERN_C_BEGIN
1564 #undef __FUNCT__
1565 #define __FUNCT__ "MatGetDiagonalBlock_MPISBAIJ"
1566 int MatGetDiagonalBlock_MPISBAIJ(Mat A,PetscTruth *iscopy,MatReuse reuse,Mat *a)
1567 {
1568   PetscFunctionBegin;
1569   *a      = ((Mat_MPISBAIJ *)A->data)->A;
1570   *iscopy = PETSC_FALSE;
1571   PetscFunctionReturn(0);
1572 }
1573 EXTERN_C_END
1574 
1575 EXTERN_C_BEGIN
1576 #undef __FUNCT__
1577 #define __FUNCT__ "MatMPISBAIJSetPreallocation_MPISBAIJ"
1578 int MatMPISBAIJSetPreallocation_MPISBAIJ(Mat B,int bs,int d_nz,int *d_nnz,int o_nz,int *o_nnz)
1579 {
1580   Mat_MPISBAIJ *b;
1581   int          ierr,i,mbs,Mbs;
1582   PetscTruth   flg2;
1583 
1584   PetscFunctionBegin;
1585   ierr = PetscOptionsGetInt(B->prefix,"-mat_block_size",&bs,PETSC_NULL);CHKERRQ(ierr);
1586 
1587   if (bs < 1) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive");
1588   if (d_nz == PETSC_DECIDE || d_nz == PETSC_DEFAULT) d_nz = 3;
1589   if (o_nz == PETSC_DECIDE || o_nz == PETSC_DEFAULT) o_nz = 1;
1590   if (d_nz < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"d_nz cannot be less than 0: value %d",d_nz);
1591   if (o_nz < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"o_nz cannot be less than 0: value %d",o_nz);
1592   if (d_nnz) {
1593     for (i=0; i<B->m/bs; i++) {
1594       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]);
1595     }
1596   }
1597   if (o_nnz) {
1598     for (i=0; i<B->m/bs; i++) {
1599       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]);
1600     }
1601   }
1602   B->preallocated = PETSC_TRUE;
1603   ierr = PetscSplitOwnershipBlock(B->comm,bs,&B->m,&B->M);CHKERRQ(ierr);
1604   ierr = PetscSplitOwnershipBlock(B->comm,bs,&B->n,&B->N);CHKERRQ(ierr);
1605   ierr = PetscMapCreateMPI(B->comm,B->m,B->M,&B->rmap);CHKERRQ(ierr);
1606   ierr = PetscMapCreateMPI(B->comm,B->m,B->M,&B->cmap);CHKERRQ(ierr);
1607 
1608   b   = (Mat_MPISBAIJ*)B->data;
1609   mbs = B->m/bs;
1610   Mbs = B->M/bs;
1611   if (mbs*bs != B->m) {
1612     SETERRQ2(PETSC_ERR_ARG_SIZ,"No of local rows %d must be divisible by blocksize %d",B->m,bs);
1613   }
1614 
1615   b->bs  = bs;
1616   b->bs2 = bs*bs;
1617   b->mbs = mbs;
1618   b->nbs = mbs;
1619   b->Mbs = Mbs;
1620   b->Nbs = Mbs;
1621 
1622   ierr = MPI_Allgather(&b->mbs,1,MPI_INT,b->rowners+1,1,MPI_INT,B->comm);CHKERRQ(ierr);
1623   b->rowners[0]    = 0;
1624   for (i=2; i<=b->size; i++) {
1625     b->rowners[i] += b->rowners[i-1];
1626   }
1627   b->rstart    = b->rowners[b->rank];
1628   b->rend      = b->rowners[b->rank+1];
1629   b->cstart    = b->rstart;
1630   b->cend      = b->rend;
1631   for (i=0; i<=b->size; i++) {
1632     b->rowners_bs[i] = b->rowners[i]*bs;
1633   }
1634   b->rstart_bs = b-> rstart*bs;
1635   b->rend_bs   = b->rend*bs;
1636 
1637   b->cstart_bs = b->cstart*bs;
1638   b->cend_bs   = b->cend*bs;
1639 
1640 
1641   ierr = MatCreateSeqSBAIJ(PETSC_COMM_SELF,bs,B->m,B->m,d_nz,d_nnz,&b->A);CHKERRQ(ierr);
1642   PetscLogObjectParent(B,b->A);
1643   ierr = MatCreateSeqBAIJ(PETSC_COMM_SELF,bs,B->m,B->M,o_nz,o_nnz,&b->B);CHKERRQ(ierr);
1644   PetscLogObjectParent(B,b->B);
1645 
1646   /* build cache for off array entries formed */
1647   ierr = MatStashCreate_Private(B->comm,bs,&B->bstash);CHKERRQ(ierr);
1648 
1649   PetscFunctionReturn(0);
1650 }
1651 EXTERN_C_END
1652 
1653 EXTERN_C_BEGIN
1654 #undef __FUNCT__
1655 #define __FUNCT__ "MatCreate_MPISBAIJ"
1656 int MatCreate_MPISBAIJ(Mat B)
1657 {
1658   Mat_MPISBAIJ *b;
1659   int          ierr;
1660   PetscTruth   flg;
1661 
1662   PetscFunctionBegin;
1663 
1664   ierr    = PetscNew(Mat_MPISBAIJ,&b);CHKERRQ(ierr);
1665   B->data = (void*)b;
1666   ierr    = PetscMemzero(b,sizeof(Mat_MPISBAIJ));CHKERRQ(ierr);
1667   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
1668 
1669   B->ops->destroy    = MatDestroy_MPISBAIJ;
1670   B->ops->view       = MatView_MPISBAIJ;
1671   B->mapping    = 0;
1672   B->factor     = 0;
1673   B->assembled  = PETSC_FALSE;
1674 
1675   B->insertmode = NOT_SET_VALUES;
1676   ierr = MPI_Comm_rank(B->comm,&b->rank);CHKERRQ(ierr);
1677   ierr = MPI_Comm_size(B->comm,&b->size);CHKERRQ(ierr);
1678 
1679   /* build local table of row and column ownerships */
1680   ierr          = PetscMalloc(3*(b->size+2)*sizeof(int),&b->rowners);CHKERRQ(ierr);
1681   b->cowners    = b->rowners + b->size + 2;
1682   b->rowners_bs = b->cowners + b->size + 2;
1683   PetscLogObjectMemory(B,3*(b->size+2)*sizeof(int)+sizeof(struct _p_Mat)+sizeof(Mat_MPISBAIJ));
1684 
1685   /* build cache for off array entries formed */
1686   ierr = MatStashCreate_Private(B->comm,1,&B->stash);CHKERRQ(ierr);
1687   b->donotstash  = PETSC_FALSE;
1688   b->colmap      = PETSC_NULL;
1689   b->garray      = PETSC_NULL;
1690   b->roworiented = PETSC_TRUE;
1691 
1692 #if defined(PETSC_USE_MAT_SINGLE)
1693   /* stuff for MatSetValues_XXX in single precision */
1694   b->setvalueslen     = 0;
1695   b->setvaluescopy    = PETSC_NULL;
1696 #endif
1697 
1698   /* stuff used in block assembly */
1699   b->barray       = 0;
1700 
1701   /* stuff used for matrix vector multiply */
1702   b->lvec         = 0;
1703   b->Mvctx        = 0;
1704   b->slvec0       = 0;
1705   b->slvec0b      = 0;
1706   b->slvec1       = 0;
1707   b->slvec1a      = 0;
1708   b->slvec1b      = 0;
1709   b->sMvctx       = 0;
1710 
1711   /* stuff for MatGetRow() */
1712   b->rowindices   = 0;
1713   b->rowvalues    = 0;
1714   b->getrowactive = PETSC_FALSE;
1715 
1716   /* hash table stuff */
1717   b->ht           = 0;
1718   b->hd           = 0;
1719   b->ht_size      = 0;
1720   b->ht_flag      = PETSC_FALSE;
1721   b->ht_fact      = 0;
1722   b->ht_total_ct  = 0;
1723   b->ht_insert_ct = 0;
1724 
1725   ierr = PetscOptionsHasName(B->prefix,"-mat_use_hash_table",&flg);CHKERRQ(ierr);
1726   if (flg) {
1727     PetscReal fact = 1.39;
1728     ierr = MatSetOption(B,MAT_USE_HASH_TABLE);CHKERRQ(ierr);
1729     ierr = PetscOptionsGetReal(B->prefix,"-mat_use_hash_table",&fact,PETSC_NULL);CHKERRQ(ierr);
1730     if (fact <= 1.0) fact = 1.39;
1731     ierr = MatMPIBAIJSetHashTableFactor(B,fact);CHKERRQ(ierr);
1732     PetscLogInfo(0,"MatCreateMPISBAIJ:Hash table Factor used %5.2f\n",fact);
1733   }
1734   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatStoreValues_C",
1735                                      "MatStoreValues_MPISBAIJ",
1736                                      MatStoreValues_MPISBAIJ);CHKERRQ(ierr);
1737   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatRetrieveValues_C",
1738                                      "MatRetrieveValues_MPISBAIJ",
1739                                      MatRetrieveValues_MPISBAIJ);CHKERRQ(ierr);
1740   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetDiagonalBlock_C",
1741                                      "MatGetDiagonalBlock_MPISBAIJ",
1742                                      MatGetDiagonalBlock_MPISBAIJ);CHKERRQ(ierr);
1743   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMPISBAIJSetPreallocation_C",
1744                                      "MatMPISBAIJSetPreallocation_MPISBAIJ",
1745                                      MatMPISBAIJSetPreallocation_MPISBAIJ);CHKERRQ(ierr);
1746   PetscFunctionReturn(0);
1747 }
1748 EXTERN_C_END
1749 
1750 #undef __FUNCT__
1751 #define __FUNCT__ "MatMPISBAIJSetPreallocation"
1752 /*@C
1753    MatMPISBAIJSetPreallocation - For good matrix assembly performance
1754    the user should preallocate the matrix storage by setting the parameters
1755    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
1756    performance can be increased by more than a factor of 50.
1757 
1758    Collective on Mat
1759 
1760    Input Parameters:
1761 +  A - the matrix
1762 .  bs   - size of blockk
1763 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
1764            submatrix  (same for all local rows)
1765 .  d_nnz - array containing the number of block nonzeros in the various block rows
1766            in the upper triangular and diagonal part of the in diagonal portion of the local
1767            (possibly different for each block row) or PETSC_NULL.  You must leave room
1768            for the diagonal entry even if it is zero.
1769 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
1770            submatrix (same for all local rows).
1771 -  o_nnz - array containing the number of nonzeros in the various block rows of the
1772            off-diagonal portion of the local submatrix (possibly different for
1773            each block row) or PETSC_NULL.
1774 
1775 
1776    Options Database Keys:
1777 .   -mat_no_unroll - uses code that does not unroll the loops in the
1778                      block calculations (much slower)
1779 .   -mat_block_size - size of the blocks to use
1780 
1781    Notes:
1782 
1783    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
1784    than it must be used on all processors that share the object for that argument.
1785 
1786    Storage Information:
1787    For a square global matrix we define each processor's diagonal portion
1788    to be its local rows and the corresponding columns (a square submatrix);
1789    each processor's off-diagonal portion encompasses the remainder of the
1790    local matrix (a rectangular submatrix).
1791 
1792    The user can specify preallocated storage for the diagonal part of
1793    the local submatrix with either d_nz or d_nnz (not both).  Set
1794    d_nz=PETSC_DEFAULT and d_nnz=PETSC_NULL for PETSc to control dynamic
1795    memory allocation.  Likewise, specify preallocated storage for the
1796    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
1797 
1798    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
1799    the figure below we depict these three local rows and all columns (0-11).
1800 
1801 .vb
1802            0 1 2 3 4 5 6 7 8 9 10 11
1803           -------------------
1804    row 3  |  o o o d d d o o o o o o
1805    row 4  |  o o o d d d o o o o o o
1806    row 5  |  o o o d d d o o o o o o
1807           -------------------
1808 .ve
1809 
1810    Thus, any entries in the d locations are stored in the d (diagonal)
1811    submatrix, and any entries in the o locations are stored in the
1812    o (off-diagonal) submatrix.  Note that the d matrix is stored in
1813    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
1814 
1815    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
1816    plus the diagonal part of the d matrix,
1817    and o_nz should indicate the number of block nonzeros per row in the o matrix.
1818    In general, for PDE problems in which most nonzeros are near the diagonal,
1819    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
1820    or you will get TERRIBLE performance; see the users' manual chapter on
1821    matrices.
1822 
1823    Level: intermediate
1824 
1825 .keywords: matrix, block, aij, compressed row, sparse, parallel
1826 
1827 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateMPIBAIJ()
1828 @*/
1829 int MatMPISBAIJSetPreallocation(Mat B,int bs,int d_nz,int *d_nnz,int o_nz,int *o_nnz)
1830 {
1831   int ierr,(*f)(Mat,int,int,int*,int,int*);
1832 
1833   PetscFunctionBegin;
1834   ierr = PetscObjectQueryFunction((PetscObject)B,"MatMPISBAIJSetPreallocation_C",(void (**)(void))&f);CHKERRQ(ierr);
1835   if (f) {
1836     ierr = (*f)(B,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
1837   }
1838   PetscFunctionReturn(0);
1839 }
1840 
1841 #undef __FUNCT__
1842 #define __FUNCT__ "MatCreateMPISBAIJ"
1843 /*@C
1844    MatCreateMPISBAIJ - Creates a sparse parallel matrix in symmetric block AIJ format
1845    (block compressed row).  For good matrix assembly performance
1846    the user should preallocate the matrix storage by setting the parameters
1847    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
1848    performance can be increased by more than a factor of 50.
1849 
1850    Collective on MPI_Comm
1851 
1852    Input Parameters:
1853 +  comm - MPI communicator
1854 .  bs   - size of blockk
1855 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
1856            This value should be the same as the local size used in creating the
1857            y vector for the matrix-vector product y = Ax.
1858 .  n - number of local columns (or PETSC_DECIDE to have calculated if N is given)
1859            This value should be the same as the local size used in creating the
1860            x vector for the matrix-vector product y = Ax.
1861 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
1862 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
1863 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
1864            submatrix  (same for all local rows)
1865 .  d_nnz - array containing the number of block nonzeros in the various block rows
1866            in the upper triangular portion of the in diagonal portion of the local
1867            (possibly different for each block block row) or PETSC_NULL.
1868            You must leave room for the diagonal entry even if it is zero.
1869 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
1870            submatrix (same for all local rows).
1871 -  o_nnz - array containing the number of nonzeros in the various block rows of the
1872            off-diagonal portion of the local submatrix (possibly different for
1873            each block row) or PETSC_NULL.
1874 
1875    Output Parameter:
1876 .  A - the matrix
1877 
1878    Options Database Keys:
1879 .   -mat_no_unroll - uses code that does not unroll the loops in the
1880                      block calculations (much slower)
1881 .   -mat_block_size - size of the blocks to use
1882 .   -mat_mpi - use the parallel matrix data structures even on one processor
1883                (defaults to using SeqBAIJ format on one processor)
1884 
1885    Notes:
1886    The user MUST specify either the local or global matrix dimensions
1887    (possibly both).
1888 
1889    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
1890    than it must be used on all processors that share the object for that argument.
1891 
1892    Storage Information:
1893    For a square global matrix we define each processor's diagonal portion
1894    to be its local rows and the corresponding columns (a square submatrix);
1895    each processor's off-diagonal portion encompasses the remainder of the
1896    local matrix (a rectangular submatrix).
1897 
1898    The user can specify preallocated storage for the diagonal part of
1899    the local submatrix with either d_nz or d_nnz (not both).  Set
1900    d_nz=PETSC_DEFAULT and d_nnz=PETSC_NULL for PETSc to control dynamic
1901    memory allocation.  Likewise, specify preallocated storage for the
1902    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
1903 
1904    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
1905    the figure below we depict these three local rows and all columns (0-11).
1906 
1907 .vb
1908            0 1 2 3 4 5 6 7 8 9 10 11
1909           -------------------
1910    row 3  |  o o o d d d o o o o o o
1911    row 4  |  o o o d d d o o o o o o
1912    row 5  |  o o o d d d o o o o o o
1913           -------------------
1914 .ve
1915 
1916    Thus, any entries in the d locations are stored in the d (diagonal)
1917    submatrix, and any entries in the o locations are stored in the
1918    o (off-diagonal) submatrix.  Note that the d matrix is stored in
1919    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
1920 
1921    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
1922    plus the diagonal part of the d matrix,
1923    and o_nz should indicate the number of block nonzeros per row in the o matrix.
1924    In general, for PDE problems in which most nonzeros are near the diagonal,
1925    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
1926    or you will get TERRIBLE performance; see the users' manual chapter on
1927    matrices.
1928 
1929    Level: intermediate
1930 
1931 .keywords: matrix, block, aij, compressed row, sparse, parallel
1932 
1933 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateMPIBAIJ()
1934 @*/
1935 
1936 int MatCreateMPISBAIJ(MPI_Comm comm,int bs,int m,int n,int M,int N,int d_nz,int *d_nnz,int o_nz,int *o_nnz,Mat *A)
1937 {
1938   int ierr,size;
1939 
1940   PetscFunctionBegin;
1941   ierr = MatCreate(comm,m,n,M,N,A);CHKERRQ(ierr);
1942   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
1943   if (size > 1) {
1944     ierr = MatSetType(*A,MATMPISBAIJ);CHKERRQ(ierr);
1945     ierr = MatMPISBAIJSetPreallocation(*A,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
1946   } else {
1947     ierr = MatSetType(*A,MATSEQSBAIJ);CHKERRQ(ierr);
1948     ierr = MatSeqSBAIJSetPreallocation(*A,bs,d_nz,d_nnz);CHKERRQ(ierr);
1949   }
1950   PetscFunctionReturn(0);
1951 }
1952 
1953 
1954 #undef __FUNCT__
1955 #define __FUNCT__ "MatDuplicate_MPISBAIJ"
1956 static int MatDuplicate_MPISBAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
1957 {
1958   Mat          mat;
1959   Mat_MPISBAIJ *a,*oldmat = (Mat_MPISBAIJ*)matin->data;
1960   int          ierr,len=0;
1961 
1962   PetscFunctionBegin;
1963   *newmat       = 0;
1964   ierr = MatCreate(matin->comm,matin->m,matin->n,matin->M,matin->N,&mat);CHKERRQ(ierr);
1965   ierr = MatSetType(mat,MATMPISBAIJ);CHKERRQ(ierr);
1966   mat->preallocated = PETSC_TRUE;
1967   a = (Mat_MPISBAIJ*)mat->data;
1968   a->bs  = oldmat->bs;
1969   a->bs2 = oldmat->bs2;
1970   a->mbs = oldmat->mbs;
1971   a->nbs = oldmat->nbs;
1972   a->Mbs = oldmat->Mbs;
1973   a->Nbs = oldmat->Nbs;
1974 
1975   a->rstart       = oldmat->rstart;
1976   a->rend         = oldmat->rend;
1977   a->cstart       = oldmat->cstart;
1978   a->cend         = oldmat->cend;
1979   a->size         = oldmat->size;
1980   a->rank         = oldmat->rank;
1981   a->donotstash   = oldmat->donotstash;
1982   a->roworiented  = oldmat->roworiented;
1983   a->rowindices   = 0;
1984   a->rowvalues    = 0;
1985   a->getrowactive = PETSC_FALSE;
1986   a->barray       = 0;
1987   a->rstart_bs    = oldmat->rstart_bs;
1988   a->rend_bs      = oldmat->rend_bs;
1989   a->cstart_bs    = oldmat->cstart_bs;
1990   a->cend_bs      = oldmat->cend_bs;
1991 
1992   /* hash table stuff */
1993   a->ht           = 0;
1994   a->hd           = 0;
1995   a->ht_size      = 0;
1996   a->ht_flag      = oldmat->ht_flag;
1997   a->ht_fact      = oldmat->ht_fact;
1998   a->ht_total_ct  = 0;
1999   a->ht_insert_ct = 0;
2000 
2001   ierr = PetscMalloc(3*(a->size+2)*sizeof(int),&a->rowners);CHKERRQ(ierr);
2002   PetscLogObjectMemory(mat,3*(a->size+2)*sizeof(int)+sizeof(struct _p_Mat)+sizeof(Mat_MPISBAIJ));
2003   a->cowners    = a->rowners + a->size + 2;
2004   a->rowners_bs = a->cowners + a->size + 2;
2005   ierr = PetscMemcpy(a->rowners,oldmat->rowners,3*(a->size+2)*sizeof(int));CHKERRQ(ierr);
2006   ierr = MatStashCreate_Private(matin->comm,1,&mat->stash);CHKERRQ(ierr);
2007   ierr = MatStashCreate_Private(matin->comm,oldmat->bs,&mat->bstash);CHKERRQ(ierr);
2008   if (oldmat->colmap) {
2009 #if defined (PETSC_USE_CTABLE)
2010     ierr = PetscTableCreateCopy(oldmat->colmap,&a->colmap);CHKERRQ(ierr);
2011 #else
2012     ierr = PetscMalloc((a->Nbs)*sizeof(int),&a->colmap);CHKERRQ(ierr);
2013     PetscLogObjectMemory(mat,(a->Nbs)*sizeof(int));
2014     ierr = PetscMemcpy(a->colmap,oldmat->colmap,(a->Nbs)*sizeof(int));CHKERRQ(ierr);
2015 #endif
2016   } else a->colmap = 0;
2017   if (oldmat->garray && (len = ((Mat_SeqBAIJ*)(oldmat->B->data))->nbs)) {
2018     ierr = PetscMalloc(len*sizeof(int),&a->garray);CHKERRQ(ierr);
2019     PetscLogObjectMemory(mat,len*sizeof(int));
2020     ierr = PetscMemcpy(a->garray,oldmat->garray,len*sizeof(int));CHKERRQ(ierr);
2021   } else a->garray = 0;
2022 
2023   ierr =  VecDuplicate(oldmat->lvec,&a->lvec);CHKERRQ(ierr);
2024   PetscLogObjectParent(mat,a->lvec);
2025   ierr =  VecScatterCopy(oldmat->Mvctx,&a->Mvctx);CHKERRQ(ierr);
2026 
2027   PetscLogObjectParent(mat,a->Mvctx);
2028   ierr =  MatDuplicate(oldmat->A,cpvalues,&a->A);CHKERRQ(ierr);
2029   PetscLogObjectParent(mat,a->A);
2030   ierr =  MatDuplicate(oldmat->B,cpvalues,&a->B);CHKERRQ(ierr);
2031   PetscLogObjectParent(mat,a->B);
2032   ierr = PetscFListDuplicate(mat->qlist,&matin->qlist);CHKERRQ(ierr);
2033   *newmat = mat;
2034   PetscFunctionReturn(0);
2035 }
2036 
2037 #include "petscsys.h"
2038 
2039 EXTERN_C_BEGIN
2040 #undef __FUNCT__
2041 #define __FUNCT__ "MatLoad_MPISBAIJ"
2042 int MatLoad_MPISBAIJ(PetscViewer viewer,MatType type,Mat *newmat)
2043 {
2044   Mat          A;
2045   int          i,nz,ierr,j,rstart,rend,fd;
2046   PetscScalar  *vals,*buf;
2047   MPI_Comm     comm = ((PetscObject)viewer)->comm;
2048   MPI_Status   status;
2049   int          header[4],rank,size,*rowlengths = 0,M,N,m,*rowners,*browners,maxnz,*cols;
2050   int          *locrowlens,*sndcounts = 0,*procsnz = 0,jj,*mycols,*ibuf;
2051   int          tag = ((PetscObject)viewer)->tag,bs=1,Mbs,mbs,extra_rows;
2052   int          *dlens,*odlens,*mask,*masked1,*masked2,rowcount,odcount;
2053   int          dcount,kmax,k,nzcount,tmp;
2054 #if defined(PETSC_HAVE_SPOOLES) || defined(PETSC_HAVE_MUMPS)
2055   PetscTruth   flag;
2056 #endif
2057 
2058   PetscFunctionBegin;
2059   ierr = PetscOptionsGetInt(PETSC_NULL,"-matload_block_size",&bs,PETSC_NULL);CHKERRQ(ierr);
2060 
2061   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2062   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
2063   if (!rank) {
2064     ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
2065     ierr = PetscBinaryRead(fd,(char *)header,4,PETSC_INT);CHKERRQ(ierr);
2066     if (header[0] != MAT_FILE_COOKIE) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
2067     if (header[3] < 0) {
2068       SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as MPISBAIJ");
2069     }
2070   }
2071 
2072   ierr = MPI_Bcast(header+1,3,MPI_INT,0,comm);CHKERRQ(ierr);
2073   M = header[1]; N = header[2];
2074 
2075   if (M != N) SETERRQ(PETSC_ERR_SUP,"Can only do square matrices");
2076 
2077   /*
2078      This code adds extra rows to make sure the number of rows is
2079      divisible by the blocksize
2080   */
2081   Mbs        = M/bs;
2082   extra_rows = bs - M + bs*(Mbs);
2083   if (extra_rows == bs) extra_rows = 0;
2084   else                  Mbs++;
2085   if (extra_rows &&!rank) {
2086     PetscLogInfo(0,"MatLoad_MPISBAIJ:Padding loaded matrix to match blocksize\n");
2087   }
2088 
2089   /* determine ownership of all rows */
2090   mbs        = Mbs/size + ((Mbs % size) > rank);
2091   m          = mbs*bs;
2092   ierr       = PetscMalloc(2*(size+2)*sizeof(int),&rowners);CHKERRQ(ierr);
2093   browners   = rowners + size + 1;
2094   ierr       = MPI_Allgather(&mbs,1,MPI_INT,rowners+1,1,MPI_INT,comm);CHKERRQ(ierr);
2095   rowners[0] = 0;
2096   for (i=2; i<=size; i++) rowners[i] += rowners[i-1];
2097   for (i=0; i<=size;  i++) browners[i] = rowners[i]*bs;
2098   rstart = rowners[rank];
2099   rend   = rowners[rank+1];
2100 
2101   /* distribute row lengths to all processors */
2102   ierr = PetscMalloc((rend-rstart)*bs*sizeof(int),&locrowlens);CHKERRQ(ierr);
2103   if (!rank) {
2104     ierr = PetscMalloc((M+extra_rows)*sizeof(int),&rowlengths);CHKERRQ(ierr);
2105     ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
2106     for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
2107     ierr = PetscMalloc(size*sizeof(int),&sndcounts);CHKERRQ(ierr);
2108     for (i=0; i<size; i++) sndcounts[i] = browners[i+1] - browners[i];
2109     ierr = MPI_Scatterv(rowlengths,sndcounts,browners,MPI_INT,locrowlens,(rend-rstart)*bs,MPI_INT,0,comm);CHKERRQ(ierr);
2110     ierr = PetscFree(sndcounts);CHKERRQ(ierr);
2111   } else {
2112     ierr = MPI_Scatterv(0,0,0,MPI_INT,locrowlens,(rend-rstart)*bs,MPI_INT,0,comm);CHKERRQ(ierr);
2113   }
2114 
2115   if (!rank) {   /* procs[0] */
2116     /* calculate the number of nonzeros on each processor */
2117     ierr = PetscMalloc(size*sizeof(int),&procsnz);CHKERRQ(ierr);
2118     ierr = PetscMemzero(procsnz,size*sizeof(int));CHKERRQ(ierr);
2119     for (i=0; i<size; i++) {
2120       for (j=rowners[i]*bs; j< rowners[i+1]*bs; j++) {
2121         procsnz[i] += rowlengths[j];
2122       }
2123     }
2124     ierr = PetscFree(rowlengths);CHKERRQ(ierr);
2125 
2126     /* determine max buffer needed and allocate it */
2127     maxnz = 0;
2128     for (i=0; i<size; i++) {
2129       maxnz = PetscMax(maxnz,procsnz[i]);
2130     }
2131     ierr = PetscMalloc(maxnz*sizeof(int),&cols);CHKERRQ(ierr);
2132 
2133     /* read in my part of the matrix column indices  */
2134     nz     = procsnz[0];
2135     ierr   = PetscMalloc(nz*sizeof(int),&ibuf);CHKERRQ(ierr);
2136     mycols = ibuf;
2137     if (size == 1)  nz -= extra_rows;
2138     ierr = PetscBinaryRead(fd,mycols,nz,PETSC_INT);CHKERRQ(ierr);
2139     if (size == 1)  for (i=0; i< extra_rows; i++) { mycols[nz+i] = M+i; }
2140 
2141     /* read in every ones (except the last) and ship off */
2142     for (i=1; i<size-1; i++) {
2143       nz   = procsnz[i];
2144       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2145       ierr = MPI_Send(cols,nz,MPI_INT,i,tag,comm);CHKERRQ(ierr);
2146     }
2147     /* read in the stuff for the last proc */
2148     if (size != 1) {
2149       nz   = procsnz[size-1] - extra_rows;  /* the extra rows are not on the disk */
2150       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2151       for (i=0; i<extra_rows; i++) cols[nz+i] = M+i;
2152       ierr = MPI_Send(cols,nz+extra_rows,MPI_INT,size-1,tag,comm);CHKERRQ(ierr);
2153     }
2154     ierr = PetscFree(cols);CHKERRQ(ierr);
2155   } else {  /* procs[i], i>0 */
2156     /* determine buffer space needed for message */
2157     nz = 0;
2158     for (i=0; i<m; i++) {
2159       nz += locrowlens[i];
2160     }
2161     ierr   = PetscMalloc(nz*sizeof(int),&ibuf);CHKERRQ(ierr);
2162     mycols = ibuf;
2163     /* receive message of column indices*/
2164     ierr = MPI_Recv(mycols,nz,MPI_INT,0,tag,comm,&status);CHKERRQ(ierr);
2165     ierr = MPI_Get_count(&status,MPI_INT,&maxnz);CHKERRQ(ierr);
2166     if (maxnz != nz) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2167   }
2168 
2169   /* loop over local rows, determining number of off diagonal entries */
2170   ierr     = PetscMalloc(2*(rend-rstart+1)*sizeof(int),&dlens);CHKERRQ(ierr);
2171   odlens   = dlens + (rend-rstart);
2172   ierr     = PetscMalloc(3*Mbs*sizeof(int),&mask);CHKERRQ(ierr);
2173   ierr     = PetscMemzero(mask,3*Mbs*sizeof(int));CHKERRQ(ierr);
2174   masked1  = mask    + Mbs;
2175   masked2  = masked1 + Mbs;
2176   rowcount = 0; nzcount = 0;
2177   for (i=0; i<mbs; i++) {
2178     dcount  = 0;
2179     odcount = 0;
2180     for (j=0; j<bs; j++) {
2181       kmax = locrowlens[rowcount];
2182       for (k=0; k<kmax; k++) {
2183         tmp = mycols[nzcount++]/bs; /* block col. index */
2184         if (!mask[tmp]) {
2185           mask[tmp] = 1;
2186           if (tmp < rstart || tmp >= rend) masked2[odcount++] = tmp; /* entry in off-diag portion */
2187           else masked1[dcount++] = tmp; /* entry in diag portion */
2188         }
2189       }
2190       rowcount++;
2191     }
2192 
2193     dlens[i]  = dcount;  /* d_nzz[i] */
2194     odlens[i] = odcount; /* o_nzz[i] */
2195 
2196     /* zero out the mask elements we set */
2197     for (j=0; j<dcount; j++) mask[masked1[j]] = 0;
2198     for (j=0; j<odcount; j++) mask[masked2[j]] = 0;
2199   }
2200 
2201   /* create our matrix */
2202   ierr = MatCreateMPISBAIJ(comm,bs,m,m,PETSC_DETERMINE,PETSC_DETERMINE,0,dlens,0,odlens,newmat);
2203   CHKERRQ(ierr);
2204   A = *newmat;
2205   ierr = MatSetOption(A,MAT_COLUMNS_SORTED);CHKERRQ(ierr);
2206 
2207   if (!rank) {
2208     ierr = PetscMalloc(maxnz*sizeof(PetscScalar),&buf);CHKERRQ(ierr);
2209     /* read in my part of the matrix numerical values  */
2210     nz = procsnz[0];
2211     vals = buf;
2212     mycols = ibuf;
2213     if (size == 1)  nz -= extra_rows;
2214     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2215     if (size == 1)  for (i=0; i< extra_rows; i++) { vals[nz+i] = 1.0; }
2216 
2217     /* insert into matrix */
2218     jj      = rstart*bs;
2219     for (i=0; i<m; i++) {
2220       ierr = MatSetValues(A,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2221       mycols += locrowlens[i];
2222       vals   += locrowlens[i];
2223       jj++;
2224     }
2225 
2226     /* read in other processors (except the last one) and ship out */
2227     for (i=1; i<size-1; i++) {
2228       nz   = procsnz[i];
2229       vals = buf;
2230       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2231       ierr = MPI_Send(vals,nz,MPIU_SCALAR,i,A->tag,comm);CHKERRQ(ierr);
2232     }
2233     /* the last proc */
2234     if (size != 1){
2235       nz   = procsnz[i] - extra_rows;
2236       vals = buf;
2237       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2238       for (i=0; i<extra_rows; i++) vals[nz+i] = 1.0;
2239       ierr = MPI_Send(vals,nz+extra_rows,MPIU_SCALAR,size-1,A->tag,comm);CHKERRQ(ierr);
2240     }
2241     ierr = PetscFree(procsnz);CHKERRQ(ierr);
2242 
2243   } else {
2244     /* receive numeric values */
2245     ierr = PetscMalloc(nz*sizeof(PetscScalar),&buf);CHKERRQ(ierr);
2246 
2247     /* receive message of values*/
2248     vals   = buf;
2249     mycols = ibuf;
2250     ierr   = MPI_Recv(vals,nz,MPIU_SCALAR,0,A->tag,comm,&status);CHKERRQ(ierr);
2251     ierr   = MPI_Get_count(&status,MPIU_SCALAR,&maxnz);CHKERRQ(ierr);
2252     if (maxnz != nz) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2253 
2254     /* insert into matrix */
2255     jj      = rstart*bs;
2256     for (i=0; i<m; i++) {
2257       ierr    = MatSetValues_MPISBAIJ(A,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2258       mycols += locrowlens[i];
2259       vals   += locrowlens[i];
2260       jj++;
2261     }
2262   }
2263 
2264   ierr = PetscFree(locrowlens);CHKERRQ(ierr);
2265   ierr = PetscFree(buf);CHKERRQ(ierr);
2266   ierr = PetscFree(ibuf);CHKERRQ(ierr);
2267   ierr = PetscFree(rowners);CHKERRQ(ierr);
2268   ierr = PetscFree(dlens);CHKERRQ(ierr);
2269   ierr = PetscFree(mask);CHKERRQ(ierr);
2270   ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2271   ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2272 #if defined(PETSC_HAVE_SPOOLES)
2273   ierr = PetscOptionsHasName(A->prefix,"-mat_sbaij_spooles",&flag);CHKERRQ(ierr);
2274   if (flag) {
2275     if (size == 1) {
2276       ierr = MatUseSpooles_SeqAIJ(A);CHKERRQ(ierr);
2277     } else {
2278       ierr = MatUseSpooles_MPISBAIJ(A);CHKERRQ(ierr);
2279     }
2280   }
2281 #endif
2282 #if defined(PETSC_HAVE_MUMPS)
2283   ierr = PetscOptionsHasName(A->prefix,"-mat_sbaij_mumps",&flag);CHKERRQ(ierr);
2284   if (flag) {
2285       ierr = MatUseMUMPS_MPIAIJ(A);CHKERRQ(ierr);
2286   }
2287 #endif
2288   PetscFunctionReturn(0);
2289 }
2290 EXTERN_C_END
2291 
2292 #undef __FUNCT__
2293 #define __FUNCT__ "MatMPISBAIJSetHashTableFactor"
2294 /*@
2295    MatMPISBAIJSetHashTableFactor - Sets the factor required to compute the size of the HashTable.
2296 
2297    Input Parameters:
2298 .  mat  - the matrix
2299 .  fact - factor
2300 
2301    Collective on Mat
2302 
2303    Level: advanced
2304 
2305   Notes:
2306    This can also be set by the command line option: -mat_use_hash_table fact
2307 
2308 .keywords: matrix, hashtable, factor, HT
2309 
2310 .seealso: MatSetOption()
2311 @*/
2312 int MatMPISBAIJSetHashTableFactor(Mat mat,PetscReal fact)
2313 {
2314   PetscFunctionBegin;
2315   SETERRQ(1,"Function not yet written for SBAIJ format");
2316   /* PetscFunctionReturn(0); */
2317 }
2318 
2319 #undef __FUNCT__
2320 #define __FUNCT__ "MatGetRowMax_MPISBAIJ"
2321 int MatGetRowMax_MPISBAIJ(Mat A,Vec v)
2322 {
2323   Mat_MPISBAIJ *a = (Mat_MPISBAIJ*)A->data;
2324   Mat_SeqBAIJ  *b = (Mat_SeqBAIJ*)(a->B)->data;
2325   PetscReal    atmp;
2326   PetscReal    *work,*svalues,*rvalues;
2327   int          ierr,i,bs,mbs,*bi,*bj,brow,j,ncols,krow,kcol,col,row,Mbs,bcol;
2328   int          rank,size,*rowners_bs,dest,count,source;
2329   PetscScalar  *va;
2330   MatScalar    *ba;
2331   MPI_Status   stat;
2332 
2333   PetscFunctionBegin;
2334   ierr = MatGetRowMax(a->A,v);CHKERRQ(ierr);
2335   ierr = VecGetArray(v,&va);CHKERRQ(ierr);
2336 
2337   ierr = MPI_Comm_size(A->comm,&size);CHKERRQ(ierr);
2338   ierr = MPI_Comm_rank(A->comm,&rank);CHKERRQ(ierr);
2339 
2340   bs   = a->bs;
2341   mbs  = a->mbs;
2342   Mbs  = a->Mbs;
2343   ba   = b->a;
2344   bi   = b->i;
2345   bj   = b->j;
2346   /*
2347   PetscSynchronizedPrintf(A->comm,"[%d] M: %d, bs: %d, mbs: %d \n",rank,bs*Mbs,bs,mbs);
2348   PetscSynchronizedFlush(A->comm);
2349   */
2350 
2351   /* find ownerships */
2352   rowners_bs = a->rowners_bs;
2353   /*
2354   if (!rank){
2355     for (i=0; i<size+1; i++) PetscPrintf(PETSC_COMM_SELF," rowners_bs[%d]: %d\n",i,rowners_bs[i]);
2356   }
2357   */
2358 
2359   /* each proc creates an array to be distributed */
2360   ierr = PetscMalloc(bs*Mbs*sizeof(PetscReal),&work);CHKERRQ(ierr);
2361   ierr = PetscMemzero(work,bs*Mbs*sizeof(PetscReal));CHKERRQ(ierr);
2362 
2363   /* row_max for B */
2364   if (rank != size-1){
2365     for (i=0; i<mbs; i++) {
2366       ncols = bi[1] - bi[0]; bi++;
2367       brow  = bs*i;
2368       for (j=0; j<ncols; j++){
2369         bcol = bs*(*bj);
2370         for (kcol=0; kcol<bs; kcol++){
2371           col = bcol + kcol;                 /* local col index */
2372           col += rowners_bs[rank+1];      /* global col index */
2373           /* PetscPrintf(PETSC_COMM_SELF,"[%d], col: %d\n",rank,col); */
2374           for (krow=0; krow<bs; krow++){
2375             atmp = PetscAbsScalar(*ba); ba++;
2376             row = brow + krow;    /* local row index */
2377             /* printf("val[%d,%d]: %g\n",row,col,atmp); */
2378             if (PetscRealPart(va[row]) < atmp) va[row] = atmp;
2379             if (work[col] < atmp) work[col] = atmp;
2380           }
2381         }
2382         bj++;
2383       }
2384     }
2385     /*
2386       PetscPrintf(PETSC_COMM_SELF,"[%d], work: ",rank);
2387       for (i=0; i<bs*Mbs; i++) PetscPrintf(PETSC_COMM_SELF,"%g ",work[i]);
2388       PetscPrintf(PETSC_COMM_SELF,"[%d]: \n");
2389       */
2390 
2391     /* send values to its owners */
2392     for (dest=rank+1; dest<size; dest++){
2393       svalues = work + rowners_bs[dest];
2394       count   = rowners_bs[dest+1]-rowners_bs[dest];
2395       ierr    = MPI_Send(svalues,count,MPIU_REAL,dest,rank,A->comm);CHKERRQ(ierr);
2396       /*
2397       PetscSynchronizedPrintf(A->comm,"[%d] sends %d values to [%d]: %g, %g, %g, %g\n",rank,count,dest,svalues[0],svalues[1],svalues[2],svalues[3]);
2398       PetscSynchronizedFlush(A->comm);
2399       */
2400     }
2401   }
2402 
2403   /* receive values */
2404   if (rank){
2405     rvalues = work;
2406     count   = rowners_bs[rank+1]-rowners_bs[rank];
2407     for (source=0; source<rank; source++){
2408       ierr = MPI_Recv(rvalues,count,MPIU_REAL,MPI_ANY_SOURCE,MPI_ANY_TAG,A->comm,&stat);CHKERRQ(ierr);
2409       /* process values */
2410       for (i=0; i<count; i++){
2411         if (PetscRealPart(va[i]) < rvalues[i]) va[i] = rvalues[i];
2412       }
2413       /*
2414       PetscSynchronizedPrintf(A->comm,"[%d] received %d values from [%d]: %g, %g, %g, %g \n",rank,count,stat.MPI_SOURCE,rvalues[0],rvalues[1],rvalues[2],rvalues[3]);
2415       PetscSynchronizedFlush(A->comm);
2416       */
2417     }
2418   }
2419 
2420   ierr = VecRestoreArray(v,&va);CHKERRQ(ierr);
2421   ierr = PetscFree(work);CHKERRQ(ierr);
2422   PetscFunctionReturn(0);
2423 }
2424 
2425 #undef __FUNCT__
2426 #define __FUNCT__ "MatRelax_MPISBAIJ"
2427 int MatRelax_MPISBAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,int its,int lits,Vec xx)
2428 {
2429   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
2430   int            ierr,mbs=mat->mbs,bs=mat->bs;
2431   PetscScalar    mone=-1.0,*x,*b,*ptr,zero=0.0;
2432   Vec            bb1;
2433 
2434   PetscFunctionBegin;
2435   if (its <= 0 || lits <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %d and local its %d both positive",its,lits);
2436   if (bs > 1)
2437     SETERRQ(PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2438 
2439   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP){
2440     if ( flag & SOR_ZERO_INITIAL_GUESS ) {
2441       ierr = (*mat->A->ops->relax)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2442       its--;
2443     }
2444 
2445     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2446     while (its--){
2447 
2448       /* lower triangular part: slvec0b = - B^T*xx */
2449       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2450 
2451       /* copy xx into slvec0a */
2452       ierr = VecGetArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2453       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2454       ierr = PetscMemcpy(ptr,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2455       ierr = VecRestoreArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2456 
2457       ierr = VecScale(&mone,mat->slvec0);CHKERRQ(ierr);
2458 
2459       /* copy bb into slvec1a */
2460       ierr = VecGetArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2461       ierr = VecGetArray(bb,&b);CHKERRQ(ierr);
2462       ierr = PetscMemcpy(ptr,b,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2463       ierr = VecRestoreArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2464 
2465       /* set slvec1b = 0 */
2466       ierr = VecSet(&zero,mat->slvec1b);CHKERRQ(ierr);
2467 
2468       ierr = VecScatterBegin(mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD,mat->sMvctx);CHKERRQ(ierr);
2469       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2470       ierr = VecRestoreArray(bb,&b);CHKERRQ(ierr);
2471       ierr = VecScatterEnd(mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD,mat->sMvctx);CHKERRQ(ierr);
2472 
2473       /* upper triangular part: bb1 = bb1 - B*x */
2474       ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,bb1);CHKERRQ(ierr);
2475 
2476       /* local diagonal sweep */
2477       ierr = (*mat->A->ops->relax)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
2478     }
2479     ierr = VecDestroy(bb1);CHKERRQ(ierr);
2480   } else {
2481     SETERRQ(PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
2482   }
2483   PetscFunctionReturn(0);
2484 }
2485 
2486 #undef __FUNCT__
2487 #define __FUNCT__ "MatRelax_MPISBAIJ_2comm"
2488 int MatRelax_MPISBAIJ_2comm(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,int its,int lits,Vec xx)
2489 {
2490   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
2491   int            ierr;
2492   PetscScalar    mone=-1.0;
2493   Vec            lvec1,bb1;
2494 
2495   PetscFunctionBegin;
2496   if (its <= 0 || lits <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %d and local its %d both positive",its,lits);
2497   if (mat->bs > 1)
2498     SETERRQ(PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2499 
2500   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP){
2501     if ( flag & SOR_ZERO_INITIAL_GUESS ) {
2502       ierr = (*mat->A->ops->relax)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2503       its--;
2504     }
2505 
2506     ierr = VecDuplicate(mat->lvec,&lvec1);CHKERRQ(ierr);
2507     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2508     while (its--){
2509       ierr = VecScatterBegin(xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD,mat->Mvctx);CHKERRQ(ierr);
2510 
2511       /* lower diagonal part: bb1 = bb - B^T*xx */
2512       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,lvec1);CHKERRQ(ierr);
2513       ierr = VecScale(&mone,lvec1);CHKERRQ(ierr);
2514 
2515       ierr = VecScatterEnd(xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD,mat->Mvctx);CHKERRQ(ierr);
2516       ierr = VecCopy(bb,bb1);CHKERRQ(ierr);
2517       ierr = VecScatterBegin(lvec1,bb1,ADD_VALUES,SCATTER_REVERSE,mat->Mvctx);CHKERRQ(ierr);
2518 
2519       /* upper diagonal part: bb1 = bb1 - B*x */
2520       ierr = VecScale(&mone,mat->lvec);CHKERRQ(ierr);
2521       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb1,bb1);CHKERRQ(ierr);
2522 
2523       ierr = VecScatterEnd(lvec1,bb1,ADD_VALUES,SCATTER_REVERSE,mat->Mvctx);CHKERRQ(ierr);
2524 
2525       /* diagonal sweep */
2526       ierr = (*mat->A->ops->relax)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
2527     }
2528     ierr = VecDestroy(lvec1);CHKERRQ(ierr);
2529     ierr = VecDestroy(bb1);CHKERRQ(ierr);
2530   } else {
2531     SETERRQ(PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
2532   }
2533   PetscFunctionReturn(0);
2534 }
2535 
2536