xref: /petsc/src/mat/impls/sbaij/mpi/mpisbaij.c (revision 4e7234bf172ce7019c4948834d73bd3002d026ba)
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,const int[],int,const int[],PetscScalar []);
12 extern int MatSetValues_SeqSBAIJ(Mat,int,const int [],int,const int [],const PetscScalar [],InsertMode);
13 extern int MatSetValuesBlocked_SeqSBAIJ(Mat,int,const int[],int,const int[],const 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,const int[],int,const int[],const MatScalar[],InsertMode);
31 extern int MatSetValues_MPISBAIJ_MatScalar(Mat,int,const int[],int,const int[],const MatScalar[],InsertMode);
32 extern int MatSetValuesBlocked_MPISBAIJ_MatScalar(Mat,int,const int[],int,const int[],const MatScalar[],InsertMode);
33 extern int MatSetValues_MPISBAIJ_HT_MatScalar(Mat,int,const int[],int,const int[],const MatScalar[],InsertMode);
34 extern int MatSetValuesBlocked_MPISBAIJ_HT_MatScalar(Mat,int,const int[],int,const int[],const 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,const int im[],int n,const int in[],const 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,const int im[],int n,const int in[],const 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,const int im[],int n,const int in[],const 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,const int im[],int n,const int in[],const 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,const int im[],int n,const int in[],const 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) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %d max %d",im[i],mat->M-1);
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) {SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %d max %d",in[j],mat->N-1);}
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,const int im[],int n,const int in[],const MatScalar v[],InsertMode addv)
432 {
433   Mat_MPISBAIJ    *baij = (Mat_MPISBAIJ*)mat->data;
434   const MatScalar *value;
435   MatScalar       *barray=baij->barray;
436   PetscTruth      roworiented = baij->roworiented;
437   int             ierr,i,j,ii,jj,row,col,rstart=baij->rstart;
438   int             rend=baij->rend,cstart=baij->cstart,stepval;
439   int             cend=baij->cend,bs=baij->bs,bs2=baij->bs2;
440 
441   PetscFunctionBegin;
442   if(!barray) {
443     ierr         = PetscMalloc(bs2*sizeof(MatScalar),&barray);CHKERRQ(ierr);
444     baij->barray = barray;
445   }
446 
447   if (roworiented) {
448     stepval = (n-1)*bs;
449   } else {
450     stepval = (m-1)*bs;
451   }
452   for (i=0; i<m; i++) {
453     if (im[i] < 0) continue;
454 #if defined(PETSC_USE_BOPT_g)
455     if (im[i] >= baij->Mbs) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large, row %d max %d",im[i],baij->Mbs-1);
456 #endif
457     if (im[i] >= rstart && im[i] < rend) {
458       row = im[i] - rstart;
459       for (j=0; j<n; j++) {
460         /* If NumCol = 1 then a copy is not required */
461         if ((roworiented) && (n == 1)) {
462           barray = (MatScalar*) v + i*bs2;
463         } else if((!roworiented) && (m == 1)) {
464           barray = (MatScalar*) v + j*bs2;
465         } else { /* Here a copy is required */
466           if (roworiented) {
467             value = v + i*(stepval+bs)*bs + j*bs;
468           } else {
469             value = v + j*(stepval+bs)*bs + i*bs;
470           }
471           for (ii=0; ii<bs; ii++,value+=stepval) {
472             for (jj=0; jj<bs; jj++) {
473               *barray++  = *value++;
474             }
475           }
476           barray -=bs2;
477         }
478 
479         if (in[j] >= cstart && in[j] < cend){
480           col  = in[j] - cstart;
481           ierr = MatSetValuesBlocked_SeqSBAIJ(baij->A,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
482         }
483         else if (in[j] < 0) continue;
484 #if defined(PETSC_USE_BOPT_g)
485         else if (in[j] >= baij->Nbs) {SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large, col %d max %d",in[j],baij->Nbs-1);}
486 #endif
487         else {
488           if (mat->was_assembled) {
489             if (!baij->colmap) {
490               ierr = CreateColmap_MPISBAIJ_Private(mat);CHKERRQ(ierr);
491             }
492 
493 #if defined(PETSC_USE_BOPT_g)
494 #if defined (PETSC_USE_CTABLE)
495             { int data;
496               ierr = PetscTableFind(baij->colmap,in[j]+1,&data);CHKERRQ(ierr);
497               if ((data - 1) % bs) SETERRQ(PETSC_ERR_PLIB,"Incorrect colmap");
498             }
499 #else
500             if ((baij->colmap[in[j]] - 1) % bs) SETERRQ(PETSC_ERR_PLIB,"Incorrect colmap");
501 #endif
502 #endif
503 #if defined (PETSC_USE_CTABLE)
504 	    ierr = PetscTableFind(baij->colmap,in[j]+1,&col);CHKERRQ(ierr);
505             col  = (col - 1)/bs;
506 #else
507             col = (baij->colmap[in[j]] - 1)/bs;
508 #endif
509             if (col < 0 && !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
510               ierr = DisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
511               col =  in[j];
512             }
513           }
514           else col = in[j];
515           ierr = MatSetValuesBlocked_SeqSBAIJ(baij->B,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
516         }
517       }
518     } else {
519       if (!baij->donotstash) {
520         if (roworiented) {
521           ierr = MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
522         } else {
523           ierr = MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
524         }
525       }
526     }
527   }
528   PetscFunctionReturn(0);
529 }
530 
531 #define HASH_KEY 0.6180339887
532 #define HASH(size,key,tmp) (tmp = (key)*HASH_KEY,(int)((size)*(tmp-(int)tmp)))
533 /* #define HASH(size,key) ((int)((size)*fmod(((key)*HASH_KEY),1))) */
534 /* #define HASH(size,key,tmp) ((int)((size)*fmod(((key)*HASH_KEY),1))) */
535 #undef __FUNCT__
536 #define __FUNCT__ "MatSetValues_MPISBAIJ_HT_MatScalar"
537 int MatSetValues_MPISBAIJ_HT_MatScalar(Mat mat,int m,const int im[],int n,const int in[],const MatScalar v[],InsertMode addv)
538 {
539   PetscFunctionBegin;
540   SETERRQ(1,"Function not yet written for SBAIJ format");
541   /* PetscFunctionReturn(0); */
542 }
543 
544 #undef __FUNCT__
545 #define __FUNCT__ "MatSetValuesBlocked_MPISBAIJ_HT_MatScalar"
546 int MatSetValuesBlocked_MPISBAIJ_HT_MatScalar(Mat mat,int m,const int im[],int n,const int in[],const MatScalar v[],InsertMode addv)
547 {
548   PetscFunctionBegin;
549   SETERRQ(1,"Function not yet written for SBAIJ format");
550   /* PetscFunctionReturn(0); */
551 }
552 
553 #undef __FUNCT__
554 #define __FUNCT__ "MatGetValues_MPISBAIJ"
555 int MatGetValues_MPISBAIJ(Mat mat,int m,const int idxm[],int n,const int idxn[],PetscScalar v[])
556 {
557   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
558   int          bs=baij->bs,ierr,i,j,bsrstart = baij->rstart*bs,bsrend = baij->rend*bs;
559   int          bscstart = baij->cstart*bs,bscend = baij->cend*bs,row,col,data;
560 
561   PetscFunctionBegin;
562   for (i=0; i<m; i++) {
563     if (idxm[i] < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %d",idxm[i]);
564     if (idxm[i] >= mat->M) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %d max %d",idxm[i],mat->M-1);
565     if (idxm[i] >= bsrstart && idxm[i] < bsrend) {
566       row = idxm[i] - bsrstart;
567       for (j=0; j<n; j++) {
568         if (idxn[j] < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Negative column %d",idxn[j]);
569         if (idxn[j] >= mat->N) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %d max %d",idxn[j],mat->N-1);
570         if (idxn[j] >= bscstart && idxn[j] < bscend){
571           col = idxn[j] - bscstart;
572           ierr = MatGetValues_SeqSBAIJ(baij->A,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
573         } else {
574           if (!baij->colmap) {
575             ierr = CreateColmap_MPISBAIJ_Private(mat);CHKERRQ(ierr);
576           }
577 #if defined (PETSC_USE_CTABLE)
578           ierr = PetscTableFind(baij->colmap,idxn[j]/bs+1,&data);CHKERRQ(ierr);
579           data --;
580 #else
581           data = baij->colmap[idxn[j]/bs]-1;
582 #endif
583           if((data < 0) || (baij->garray[data/bs] != idxn[j]/bs)) *(v+i*n+j) = 0.0;
584           else {
585             col  = data + idxn[j]%bs;
586             ierr = MatGetValues_SeqSBAIJ(baij->B,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
587           }
588         }
589       }
590     } else {
591       SETERRQ(PETSC_ERR_SUP,"Only local values currently supported");
592     }
593   }
594  PetscFunctionReturn(0);
595 }
596 
597 #undef __FUNCT__
598 #define __FUNCT__ "MatNorm_MPISBAIJ"
599 int MatNorm_MPISBAIJ(Mat mat,NormType type,PetscReal *norm)
600 {
601   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
602   /* Mat_SeqSBAIJ *amat = (Mat_SeqSBAIJ*)baij->A->data; */
603   /* Mat_SeqBAIJ  *bmat = (Mat_SeqBAIJ*)baij->B->data; */
604   int        ierr;
605   PetscReal  sum[2],*lnorm2;
606 
607   PetscFunctionBegin;
608   if (baij->size == 1) {
609     ierr =  MatNorm(baij->A,type,norm);CHKERRQ(ierr);
610   } else {
611     if (type == NORM_FROBENIUS) {
612       ierr = PetscMalloc(2*sizeof(PetscReal),&lnorm2);CHKERRQ(ierr);
613       ierr =  MatNorm(baij->A,type,lnorm2);CHKERRQ(ierr);
614       *lnorm2 = (*lnorm2)*(*lnorm2); lnorm2++;            /* squar power of norm(A) */
615       ierr =  MatNorm(baij->B,type,lnorm2);CHKERRQ(ierr);
616       *lnorm2 = (*lnorm2)*(*lnorm2); lnorm2--;             /* squar power of norm(B) */
617       /*
618       ierr = MPI_Comm_rank(mat->comm,&rank);CHKERRQ(ierr);
619       PetscSynchronizedPrintf(mat->comm,"[%d], lnorm2=%g, %g\n",rank,lnorm2[0],lnorm2[1]);
620       */
621       ierr = MPI_Allreduce(lnorm2,&sum,2,MPIU_REAL,MPI_SUM,mat->comm);CHKERRQ(ierr);
622       /*
623       PetscSynchronizedPrintf(mat->comm,"[%d], sum=%g, %g\n",rank,sum[0],sum[1]);
624       PetscSynchronizedFlush(mat->comm); */
625 
626       *norm = sqrt(sum[0] + 2*sum[1]);
627       ierr = PetscFree(lnorm2);CHKERRQ(ierr);
628     } else {
629       SETERRQ(PETSC_ERR_SUP,"No support for this norm yet");
630     }
631   }
632   PetscFunctionReturn(0);
633 }
634 
635 /*
636   Creates the hash table, and sets the table
637   This table is created only once.
638   If new entried need to be added to the matrix
639   then the hash table has to be destroyed and
640   recreated.
641 */
642 #undef __FUNCT__
643 #define __FUNCT__ "MatCreateHashTable_MPISBAIJ_Private"
644 int MatCreateHashTable_MPISBAIJ_Private(Mat mat,PetscReal factor)
645 {
646   PetscFunctionBegin;
647   SETERRQ(1,"Function not yet written for SBAIJ format");
648   /* PetscFunctionReturn(0); */
649 }
650 
651 #undef __FUNCT__
652 #define __FUNCT__ "MatAssemblyBegin_MPISBAIJ"
653 int MatAssemblyBegin_MPISBAIJ(Mat mat,MatAssemblyType mode)
654 {
655   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
656   int         ierr,nstash,reallocs;
657   InsertMode  addv;
658 
659   PetscFunctionBegin;
660   if (baij->donotstash) {
661     PetscFunctionReturn(0);
662   }
663 
664   /* make sure all processors are either in INSERTMODE or ADDMODE */
665   ierr = MPI_Allreduce(&mat->insertmode,&addv,1,MPI_INT,MPI_BOR,mat->comm);CHKERRQ(ierr);
666   if (addv == (ADD_VALUES|INSERT_VALUES)) {
667     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Some processors inserted others added");
668   }
669   mat->insertmode = addv; /* in case this processor had no cache */
670 
671   ierr = MatStashScatterBegin_Private(&mat->stash,baij->rowners_bs);CHKERRQ(ierr);
672   ierr = MatStashScatterBegin_Private(&mat->bstash,baij->rowners);CHKERRQ(ierr);
673   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
674   PetscLogInfo(0,"MatAssemblyBegin_MPISBAIJ:Stash has %d entries,uses %d mallocs.\n",nstash,reallocs);
675   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
676   PetscLogInfo(0,"MatAssemblyBegin_MPISBAIJ:Block-Stash has %d entries, uses %d mallocs.\n",nstash,reallocs);
677   PetscFunctionReturn(0);
678 }
679 
680 #undef __FUNCT__
681 #define __FUNCT__ "MatAssemblyEnd_MPISBAIJ"
682 int MatAssemblyEnd_MPISBAIJ(Mat mat,MatAssemblyType mode)
683 {
684   Mat_MPISBAIJ *baij=(Mat_MPISBAIJ*)mat->data;
685   Mat_SeqSBAIJ  *a=(Mat_SeqSBAIJ*)baij->A->data;
686   Mat_SeqBAIJ  *b=(Mat_SeqBAIJ*)baij->B->data;
687   int         i,j,rstart,ncols,n,ierr,flg,bs2=baij->bs2;
688   int         *row,*col,other_disassembled;
689   PetscTruth  r1,r2,r3;
690   MatScalar   *val;
691   InsertMode  addv = mat->insertmode;
692 #if defined(PETSC_HAVE_SPOOLES) || defined(PETSC_HAVE_MUMPS)
693   PetscTruth  flag;
694 #endif
695 
696   PetscFunctionBegin;
697 
698   if (!baij->donotstash) {
699     while (1) {
700       ierr = MatStashScatterGetMesg_Private(&mat->stash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
701       /*
702       PetscSynchronizedPrintf(mat->comm,"[%d]: in AssemblyEnd, stash, flg=%d\n",rank,flg);
703       PetscSynchronizedFlush(mat->comm);
704       */
705       if (!flg) break;
706 
707       for (i=0; i<n;) {
708         /* Now identify the consecutive vals belonging to the same row */
709         for (j=i,rstart=row[j]; j<n; j++) { if (row[j] != rstart) break; }
710         if (j < n) ncols = j-i;
711         else       ncols = n-i;
712         /* Now assemble all these values with a single function call */
713         ierr = MatSetValues_MPISBAIJ_MatScalar(mat,1,row+i,ncols,col+i,val+i,addv);CHKERRQ(ierr);
714         i = j;
715       }
716     }
717     ierr = MatStashScatterEnd_Private(&mat->stash);CHKERRQ(ierr);
718     /* Now process the block-stash. Since the values are stashed column-oriented,
719        set the roworiented flag to column oriented, and after MatSetValues()
720        restore the original flags */
721     r1 = baij->roworiented;
722     r2 = a->roworiented;
723     r3 = b->roworiented;
724     baij->roworiented = PETSC_FALSE;
725     a->roworiented    = PETSC_FALSE;
726     b->roworiented    = PETSC_FALSE;
727     while (1) {
728       ierr = MatStashScatterGetMesg_Private(&mat->bstash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
729       if (!flg) break;
730 
731       for (i=0; i<n;) {
732         /* Now identify the consecutive vals belonging to the same row */
733         for (j=i,rstart=row[j]; j<n; j++) { if (row[j] != rstart) break; }
734         if (j < n) ncols = j-i;
735         else       ncols = n-i;
736         ierr = MatSetValuesBlocked_MPISBAIJ_MatScalar(mat,1,row+i,ncols,col+i,val+i*bs2,addv);CHKERRQ(ierr);
737         i = j;
738       }
739     }
740     ierr = MatStashScatterEnd_Private(&mat->bstash);CHKERRQ(ierr);
741     baij->roworiented = r1;
742     a->roworiented    = r2;
743     b->roworiented    = r3;
744   }
745 
746   ierr = MatAssemblyBegin(baij->A,mode);CHKERRQ(ierr);
747   ierr = MatAssemblyEnd(baij->A,mode);CHKERRQ(ierr);
748 
749   /* determine if any processor has disassembled, if so we must
750      also disassemble ourselfs, in order that we may reassemble. */
751   /*
752      if nonzero structure of submatrix B cannot change then we know that
753      no processor disassembled thus we can skip this stuff
754   */
755   if (!((Mat_SeqBAIJ*)baij->B->data)->nonew)  {
756     ierr = MPI_Allreduce(&mat->was_assembled,&other_disassembled,1,MPI_INT,MPI_PROD,mat->comm);CHKERRQ(ierr);
757     if (mat->was_assembled && !other_disassembled) {
758       ierr = DisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
759     }
760   }
761 
762   if (!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) {
763     ierr = MatSetUpMultiply_MPISBAIJ(mat);CHKERRQ(ierr); /* setup Mvctx and sMvctx */
764   }
765   ierr = MatAssemblyBegin(baij->B,mode);CHKERRQ(ierr);
766   ierr = MatAssemblyEnd(baij->B,mode);CHKERRQ(ierr);
767 
768 #if defined(PETSC_USE_BOPT_g)
769   if (baij->ht && mode== MAT_FINAL_ASSEMBLY) {
770     PetscLogInfo(0,"MatAssemblyEnd_MPISBAIJ:Average Hash Table Search in MatSetValues = %5.2f\n",((PetscReal)baij->ht_total_ct)/baij->ht_insert_ct);
771     baij->ht_total_ct  = 0;
772     baij->ht_insert_ct = 0;
773   }
774 #endif
775   if (baij->ht_flag && !baij->ht && mode == MAT_FINAL_ASSEMBLY) {
776     ierr = MatCreateHashTable_MPISBAIJ_Private(mat,baij->ht_fact);CHKERRQ(ierr);
777     mat->ops->setvalues        = MatSetValues_MPISBAIJ_HT;
778     mat->ops->setvaluesblocked = MatSetValuesBlocked_MPISBAIJ_HT;
779   }
780 
781   if (baij->rowvalues) {
782     ierr = PetscFree(baij->rowvalues);CHKERRQ(ierr);
783     baij->rowvalues = 0;
784   }
785 
786 #if defined(PETSC_HAVE_SPOOLES)
787   ierr = PetscOptionsHasName(mat->prefix,"-mat_sbaij_spooles",&flag);CHKERRQ(ierr);
788   if (flag) { ierr = MatUseSpooles_MPISBAIJ(mat);CHKERRQ(ierr); }
789 #endif
790 #if defined(PETSC_HAVE_MUMPS)
791   ierr = PetscOptionsHasName(mat->prefix,"-mat_sbaij_mumps",&flag);CHKERRQ(ierr);
792   if (flag) { ierr = MatUseMUMPS_MPIAIJ(mat);CHKERRQ(ierr); }
793 #endif
794   PetscFunctionReturn(0);
795 }
796 
797 #undef __FUNCT__
798 #define __FUNCT__ "MatView_MPISBAIJ_ASCIIorDraworSocket"
799 static int MatView_MPISBAIJ_ASCIIorDraworSocket(Mat mat,PetscViewer viewer)
800 {
801   Mat_MPISBAIJ      *baij = (Mat_MPISBAIJ*)mat->data;
802   int               ierr,bs = baij->bs,size = baij->size,rank = baij->rank;
803   PetscTruth        isascii,isdraw;
804   PetscViewer       sviewer;
805   PetscViewerFormat format;
806 
807   PetscFunctionBegin;
808   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&isascii);CHKERRQ(ierr);
809   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_DRAW,&isdraw);CHKERRQ(ierr);
810   if (isascii) {
811     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
812     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
813       MatInfo info;
814       ierr = MPI_Comm_rank(mat->comm,&rank);CHKERRQ(ierr);
815       ierr = MatGetInfo(mat,MAT_LOCAL,&info);CHKERRQ(ierr);
816       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] Local rows %d nz %d nz alloced %d bs %d mem %d\n",
817               rank,mat->m,(int)info.nz_used*bs,(int)info.nz_allocated*bs,
818               baij->bs,(int)info.memory);CHKERRQ(ierr);
819       ierr = MatGetInfo(baij->A,MAT_LOCAL,&info);CHKERRQ(ierr);
820       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] on-diagonal part: nz %d \n",rank,(int)info.nz_used*bs);CHKERRQ(ierr);
821       ierr = MatGetInfo(baij->B,MAT_LOCAL,&info);CHKERRQ(ierr);
822       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] off-diagonal part: nz %d \n",rank,(int)info.nz_used*bs);CHKERRQ(ierr);
823       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
824       ierr = VecScatterView(baij->Mvctx,viewer);CHKERRQ(ierr);
825       PetscFunctionReturn(0);
826     } else if (format == PETSC_VIEWER_ASCII_INFO) {
827       ierr = PetscViewerASCIIPrintf(viewer,"  block size is %d\n",bs);CHKERRQ(ierr);
828       PetscFunctionReturn(0);
829     }
830   }
831 
832   if (isdraw) {
833     PetscDraw       draw;
834     PetscTruth isnull;
835     ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
836     ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
837   }
838 
839   if (size == 1) {
840     ierr = PetscObjectSetName((PetscObject)baij->A,mat->name);CHKERRQ(ierr);
841     ierr = MatView(baij->A,viewer);CHKERRQ(ierr);
842   } else {
843     /* assemble the entire matrix onto first processor. */
844     Mat         A;
845     Mat_SeqSBAIJ *Aloc;
846     Mat_SeqBAIJ *Bloc;
847     int         M = mat->M,N = mat->N,*ai,*aj,col,i,j,k,*rvals,mbs = baij->mbs;
848     MatScalar   *a;
849 
850     if (!rank) {
851       ierr = MatCreateMPISBAIJ(mat->comm,baij->bs,M,N,M,N,0,PETSC_NULL,0,PETSC_NULL,&A);CHKERRQ(ierr);
852     } else {
853       ierr = MatCreateMPISBAIJ(mat->comm,baij->bs,0,0,M,N,0,PETSC_NULL,0,PETSC_NULL,&A);CHKERRQ(ierr);
854     }
855     PetscLogObjectParent(mat,A);
856 
857     /* copy over the A part */
858     Aloc  = (Mat_SeqSBAIJ*)baij->A->data;
859     ai    = Aloc->i; aj = Aloc->j; a = Aloc->a;
860     ierr  = PetscMalloc(bs*sizeof(int),&rvals);CHKERRQ(ierr);
861 
862     for (i=0; i<mbs; i++) {
863       rvals[0] = bs*(baij->rstart + i);
864       for (j=1; j<bs; j++) { rvals[j] = rvals[j-1] + 1; }
865       for (j=ai[i]; j<ai[i+1]; j++) {
866         col = (baij->cstart+aj[j])*bs;
867         for (k=0; k<bs; k++) {
868           ierr = MatSetValues_MPISBAIJ_MatScalar(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
869           col++; a += bs;
870         }
871       }
872     }
873     /* copy over the B part */
874     Bloc = (Mat_SeqBAIJ*)baij->B->data;
875     ai = Bloc->i; aj = Bloc->j; a = Bloc->a;
876     for (i=0; i<mbs; i++) {
877       rvals[0] = bs*(baij->rstart + i);
878       for (j=1; j<bs; j++) { rvals[j] = rvals[j-1] + 1; }
879       for (j=ai[i]; j<ai[i+1]; j++) {
880         col = baij->garray[aj[j]]*bs;
881         for (k=0; k<bs; k++) {
882           ierr = MatSetValues_MPISBAIJ_MatScalar(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
883           col++; a += bs;
884         }
885       }
886     }
887     ierr = PetscFree(rvals);CHKERRQ(ierr);
888     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
889     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
890     /*
891        Everyone has to call to draw the matrix since the graphics waits are
892        synchronized across all processors that share the PetscDraw object
893     */
894     ierr = PetscViewerGetSingleton(viewer,&sviewer);CHKERRQ(ierr);
895     if (!rank) {
896       ierr = PetscObjectSetName((PetscObject)((Mat_MPISBAIJ*)(A->data))->A,mat->name);CHKERRQ(ierr);
897       ierr = MatView(((Mat_MPISBAIJ*)(A->data))->A,sviewer);CHKERRQ(ierr);
898     }
899     ierr = PetscViewerRestoreSingleton(viewer,&sviewer);CHKERRQ(ierr);
900     ierr = MatDestroy(A);CHKERRQ(ierr);
901   }
902   PetscFunctionReturn(0);
903 }
904 
905 #undef __FUNCT__
906 #define __FUNCT__ "MatView_MPISBAIJ"
907 int MatView_MPISBAIJ(Mat mat,PetscViewer viewer)
908 {
909   int        ierr;
910   PetscTruth isascii,isdraw,issocket,isbinary;
911 
912   PetscFunctionBegin;
913   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&isascii);CHKERRQ(ierr);
914   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_DRAW,&isdraw);CHKERRQ(ierr);
915   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_SOCKET,&issocket);CHKERRQ(ierr);
916   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_BINARY,&isbinary);CHKERRQ(ierr);
917   if (isascii || isdraw || issocket || isbinary) {
918     ierr = MatView_MPISBAIJ_ASCIIorDraworSocket(mat,viewer);CHKERRQ(ierr);
919   } else {
920     SETERRQ1(1,"Viewer type %s not supported by MPISBAIJ matrices",((PetscObject)viewer)->type_name);
921   }
922   PetscFunctionReturn(0);
923 }
924 
925 #undef __FUNCT__
926 #define __FUNCT__ "MatDestroy_MPISBAIJ"
927 int MatDestroy_MPISBAIJ(Mat mat)
928 {
929   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
930   int         ierr;
931 
932   PetscFunctionBegin;
933 #if defined(PETSC_USE_LOG)
934   PetscLogObjectState((PetscObject)mat,"Rows=%d,Cols=%d",mat->M,mat->N);
935 #endif
936   ierr = MatStashDestroy_Private(&mat->stash);CHKERRQ(ierr);
937   ierr = MatStashDestroy_Private(&mat->bstash);CHKERRQ(ierr);
938   ierr = PetscFree(baij->rowners);CHKERRQ(ierr);
939   ierr = MatDestroy(baij->A);CHKERRQ(ierr);
940   ierr = MatDestroy(baij->B);CHKERRQ(ierr);
941 #if defined (PETSC_USE_CTABLE)
942   if (baij->colmap) {ierr = PetscTableDelete(baij->colmap);CHKERRQ(ierr);}
943 #else
944   if (baij->colmap) {ierr = PetscFree(baij->colmap);CHKERRQ(ierr);}
945 #endif
946   if (baij->garray) {ierr = PetscFree(baij->garray);CHKERRQ(ierr);}
947   if (baij->lvec)   {ierr = VecDestroy(baij->lvec);CHKERRQ(ierr);}
948   if (baij->Mvctx)  {ierr = VecScatterDestroy(baij->Mvctx);CHKERRQ(ierr);}
949   if (baij->slvec0) {
950     ierr = VecDestroy(baij->slvec0);CHKERRQ(ierr);
951     ierr = VecDestroy(baij->slvec0b);CHKERRQ(ierr);
952   }
953   if (baij->slvec1) {
954     ierr = VecDestroy(baij->slvec1);CHKERRQ(ierr);
955     ierr = VecDestroy(baij->slvec1a);CHKERRQ(ierr);
956     ierr = VecDestroy(baij->slvec1b);CHKERRQ(ierr);
957   }
958   if (baij->sMvctx)  {ierr = VecScatterDestroy(baij->sMvctx);CHKERRQ(ierr);}
959   if (baij->rowvalues) {ierr = PetscFree(baij->rowvalues);CHKERRQ(ierr);}
960   if (baij->barray) {ierr = PetscFree(baij->barray);CHKERRQ(ierr);}
961   if (baij->hd) {ierr = PetscFree(baij->hd);CHKERRQ(ierr);}
962 #if defined(PETSC_USE_MAT_SINGLE)
963   if (baij->setvaluescopy) {ierr = PetscFree(baij->setvaluescopy);CHKERRQ(ierr);}
964 #endif
965   ierr = PetscFree(baij);CHKERRQ(ierr);
966   PetscFunctionReturn(0);
967 }
968 
969 #undef __FUNCT__
970 #define __FUNCT__ "MatMult_MPISBAIJ"
971 int MatMult_MPISBAIJ(Mat A,Vec xx,Vec yy)
972 {
973   Mat_MPISBAIJ *a = (Mat_MPISBAIJ*)A->data;
974   int         ierr,nt,mbs=a->mbs,bs=a->bs;
975   PetscScalar *x,*from,zero=0.0;
976 
977   PetscFunctionBegin;
978   /*
979   PetscSynchronizedPrintf(A->comm," _1comm is called ...\n");
980   PetscSynchronizedFlush(A->comm);
981   */
982   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
983   if (nt != A->n) {
984     SETERRQ(PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
985   }
986   ierr = VecGetLocalSize(yy,&nt);CHKERRQ(ierr);
987   if (nt != A->m) {
988     SETERRQ(PETSC_ERR_ARG_SIZ,"Incompatible parition of A and yy");
989   }
990 
991   /* diagonal part */
992   ierr = (*a->A->ops->mult)(a->A,xx,a->slvec1a);CHKERRQ(ierr);
993   ierr = VecSet(&zero,a->slvec1b);CHKERRQ(ierr);
994 
995   /* subdiagonal part */
996   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
997 
998   /* copy x into the vec slvec0 */
999   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
1000   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1001   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
1002   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
1003 
1004   ierr = VecScatterBegin(a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD,a->sMvctx);CHKERRQ(ierr);
1005   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1006   ierr = VecScatterEnd(a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD,a->sMvctx);CHKERRQ(ierr);
1007 
1008   /* supperdiagonal part */
1009   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,yy);CHKERRQ(ierr);
1010 
1011   PetscFunctionReturn(0);
1012 }
1013 
1014 #undef __FUNCT__
1015 #define __FUNCT__ "MatMult_MPISBAIJ_2comm"
1016 int MatMult_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy)
1017 {
1018   Mat_MPISBAIJ *a = (Mat_MPISBAIJ*)A->data;
1019   int         ierr,nt;
1020 
1021   PetscFunctionBegin;
1022   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
1023   if (nt != A->n) {
1024     SETERRQ(PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
1025   }
1026   ierr = VecGetLocalSize(yy,&nt);CHKERRQ(ierr);
1027   if (nt != A->m) {
1028     SETERRQ(PETSC_ERR_ARG_SIZ,"Incompatible parition of A and yy");
1029   }
1030 
1031   ierr = VecScatterBegin(xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD,a->Mvctx);CHKERRQ(ierr);
1032   /* do diagonal part */
1033   ierr = (*a->A->ops->mult)(a->A,xx,yy);CHKERRQ(ierr);
1034   /* do supperdiagonal part */
1035   ierr = VecScatterEnd(xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD,a->Mvctx);CHKERRQ(ierr);
1036   ierr = (*a->B->ops->multadd)(a->B,a->lvec,yy,yy);CHKERRQ(ierr);
1037   /* do subdiagonal part */
1038   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1039   ierr = VecScatterBegin(a->lvec,yy,ADD_VALUES,SCATTER_REVERSE,a->Mvctx);CHKERRQ(ierr);
1040   ierr = VecScatterEnd(a->lvec,yy,ADD_VALUES,SCATTER_REVERSE,a->Mvctx);CHKERRQ(ierr);
1041 
1042   PetscFunctionReturn(0);
1043 }
1044 
1045 #undef __FUNCT__
1046 #define __FUNCT__ "MatMultAdd_MPISBAIJ"
1047 int MatMultAdd_MPISBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1048 {
1049   Mat_MPISBAIJ *a = (Mat_MPISBAIJ*)A->data;
1050   int          ierr,mbs=a->mbs,bs=a->bs;
1051   PetscScalar  *x,*from,zero=0.0;
1052 
1053   PetscFunctionBegin;
1054   /*
1055   PetscSynchronizedPrintf(A->comm," MatMultAdd is called ...\n");
1056   PetscSynchronizedFlush(A->comm);
1057   */
1058   /* diagonal part */
1059   ierr = (*a->A->ops->multadd)(a->A,xx,yy,a->slvec1a);CHKERRQ(ierr);
1060   ierr = VecSet(&zero,a->slvec1b);CHKERRQ(ierr);
1061 
1062   /* subdiagonal part */
1063   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
1064 
1065   /* copy x into the vec slvec0 */
1066   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
1067   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
1068   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
1069   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
1070 
1071   ierr = VecScatterBegin(a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD,a->sMvctx);CHKERRQ(ierr);
1072   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
1073   ierr = VecScatterEnd(a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD,a->sMvctx);CHKERRQ(ierr);
1074 
1075   /* supperdiagonal part */
1076   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,zz);CHKERRQ(ierr);
1077 
1078   PetscFunctionReturn(0);
1079 }
1080 
1081 #undef __FUNCT__
1082 #define __FUNCT__ "MatMultAdd_MPISBAIJ_2comm"
1083 int MatMultAdd_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy,Vec zz)
1084 {
1085   Mat_MPISBAIJ *a = (Mat_MPISBAIJ*)A->data;
1086   int        ierr;
1087 
1088   PetscFunctionBegin;
1089   ierr = VecScatterBegin(xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD,a->Mvctx);CHKERRQ(ierr);
1090   /* do diagonal part */
1091   ierr = (*a->A->ops->multadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
1092   /* do supperdiagonal part */
1093   ierr = VecScatterEnd(xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD,a->Mvctx);CHKERRQ(ierr);
1094   ierr = (*a->B->ops->multadd)(a->B,a->lvec,zz,zz);CHKERRQ(ierr);
1095 
1096   /* do subdiagonal part */
1097   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1098   ierr = VecScatterBegin(a->lvec,zz,ADD_VALUES,SCATTER_REVERSE,a->Mvctx);CHKERRQ(ierr);
1099   ierr = VecScatterEnd(a->lvec,zz,ADD_VALUES,SCATTER_REVERSE,a->Mvctx);CHKERRQ(ierr);
1100 
1101   PetscFunctionReturn(0);
1102 }
1103 
1104 #undef __FUNCT__
1105 #define __FUNCT__ "MatMultTranspose_MPISBAIJ"
1106 int MatMultTranspose_MPISBAIJ(Mat A,Vec xx,Vec yy)
1107 {
1108   PetscFunctionBegin;
1109   SETERRQ(1,"Matrix is symmetric. Call MatMult().");
1110   /* PetscFunctionReturn(0); */
1111 }
1112 
1113 #undef __FUNCT__
1114 #define __FUNCT__ "MatMultTransposeAdd_MPISBAIJ"
1115 int MatMultTransposeAdd_MPISBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1116 {
1117   PetscFunctionBegin;
1118   SETERRQ(1,"Matrix is symmetric. Call MatMultAdd().");
1119   /* PetscFunctionReturn(0); */
1120 }
1121 
1122 /*
1123   This only works correctly for square matrices where the subblock A->A is the
1124    diagonal block
1125 */
1126 #undef __FUNCT__
1127 #define __FUNCT__ "MatGetDiagonal_MPISBAIJ"
1128 int MatGetDiagonal_MPISBAIJ(Mat A,Vec v)
1129 {
1130   Mat_MPISBAIJ *a = (Mat_MPISBAIJ*)A->data;
1131   int         ierr;
1132 
1133   PetscFunctionBegin;
1134   /* if (a->M != a->N) SETERRQ(PETSC_ERR_SUP,"Supports only square matrix where A->A is diag block"); */
1135   ierr = MatGetDiagonal(a->A,v);CHKERRQ(ierr);
1136   PetscFunctionReturn(0);
1137 }
1138 
1139 #undef __FUNCT__
1140 #define __FUNCT__ "MatScale_MPISBAIJ"
1141 int MatScale_MPISBAIJ(const PetscScalar *aa,Mat A)
1142 {
1143   Mat_MPISBAIJ *a = (Mat_MPISBAIJ*)A->data;
1144   int         ierr;
1145 
1146   PetscFunctionBegin;
1147   ierr = MatScale(aa,a->A);CHKERRQ(ierr);
1148   ierr = MatScale(aa,a->B);CHKERRQ(ierr);
1149   PetscFunctionReturn(0);
1150 }
1151 
1152 #undef __FUNCT__
1153 #define __FUNCT__ "MatGetRow_MPISBAIJ"
1154 int MatGetRow_MPISBAIJ(Mat matin,int row,int *nz,int **idx,PetscScalar **v)
1155 {
1156   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
1157   PetscScalar    *vworkA,*vworkB,**pvA,**pvB,*v_p;
1158   int            bs = mat->bs,bs2 = mat->bs2,i,ierr,*cworkA,*cworkB,**pcA,**pcB;
1159   int            nztot,nzA,nzB,lrow,brstart = mat->rstart*bs,brend = mat->rend*bs;
1160   int            *cmap,*idx_p,cstart = mat->cstart;
1161 
1162   PetscFunctionBegin;
1163   if (mat->getrowactive == PETSC_TRUE) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Already active");
1164   mat->getrowactive = PETSC_TRUE;
1165 
1166   if (!mat->rowvalues && (idx || v)) {
1167     /*
1168         allocate enough space to hold information from the longest row.
1169     */
1170     Mat_SeqSBAIJ *Aa = (Mat_SeqSBAIJ*)mat->A->data;
1171     Mat_SeqBAIJ  *Ba = (Mat_SeqBAIJ*)mat->B->data;
1172     int     max = 1,mbs = mat->mbs,tmp;
1173     for (i=0; i<mbs; i++) {
1174       tmp = Aa->i[i+1] - Aa->i[i] + Ba->i[i+1] - Ba->i[i]; /* row length */
1175       if (max < tmp) { max = tmp; }
1176     }
1177     ierr = PetscMalloc(max*bs2*(sizeof(int)+sizeof(PetscScalar)),&mat->rowvalues);CHKERRQ(ierr);
1178     mat->rowindices = (int*)(mat->rowvalues + max*bs2);
1179   }
1180 
1181   if (row < brstart || row >= brend) SETERRQ(PETSC_ERR_SUP,"Only local rows")
1182   lrow = row - brstart;  /* local row index */
1183 
1184   pvA = &vworkA; pcA = &cworkA; pvB = &vworkB; pcB = &cworkB;
1185   if (!v)   {pvA = 0; pvB = 0;}
1186   if (!idx) {pcA = 0; if (!v) pcB = 0;}
1187   ierr = (*mat->A->ops->getrow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1188   ierr = (*mat->B->ops->getrow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1189   nztot = nzA + nzB;
1190 
1191   cmap  = mat->garray;
1192   if (v  || idx) {
1193     if (nztot) {
1194       /* Sort by increasing column numbers, assuming A and B already sorted */
1195       int imark = -1;
1196       if (v) {
1197         *v = v_p = mat->rowvalues;
1198         for (i=0; i<nzB; i++) {
1199           if (cmap[cworkB[i]/bs] < cstart)   v_p[i] = vworkB[i];
1200           else break;
1201         }
1202         imark = i;
1203         for (i=0; i<nzA; i++)     v_p[imark+i] = vworkA[i];
1204         for (i=imark; i<nzB; i++) v_p[nzA+i]   = vworkB[i];
1205       }
1206       if (idx) {
1207         *idx = idx_p = mat->rowindices;
1208         if (imark > -1) {
1209           for (i=0; i<imark; i++) {
1210             idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1211           }
1212         } else {
1213           for (i=0; i<nzB; i++) {
1214             if (cmap[cworkB[i]/bs] < cstart)
1215               idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1216             else break;
1217           }
1218           imark = i;
1219         }
1220         for (i=0; i<nzA; i++)     idx_p[imark+i] = cstart*bs + cworkA[i];
1221         for (i=imark; i<nzB; i++) idx_p[nzA+i]   = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1222       }
1223     } else {
1224       if (idx) *idx = 0;
1225       if (v)   *v   = 0;
1226     }
1227   }
1228   *nz = nztot;
1229   ierr = (*mat->A->ops->restorerow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1230   ierr = (*mat->B->ops->restorerow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1231   PetscFunctionReturn(0);
1232 }
1233 
1234 #undef __FUNCT__
1235 #define __FUNCT__ "MatRestoreRow_MPISBAIJ"
1236 int MatRestoreRow_MPISBAIJ(Mat mat,int row,int *nz,int **idx,PetscScalar **v)
1237 {
1238   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
1239 
1240   PetscFunctionBegin;
1241   if (baij->getrowactive == PETSC_FALSE) {
1242     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"MatGetRow not called");
1243   }
1244   baij->getrowactive = PETSC_FALSE;
1245   PetscFunctionReturn(0);
1246 }
1247 
1248 #undef __FUNCT__
1249 #define __FUNCT__ "MatGetBlockSize_MPISBAIJ"
1250 int MatGetBlockSize_MPISBAIJ(Mat mat,int *bs)
1251 {
1252   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
1253 
1254   PetscFunctionBegin;
1255   *bs = baij->bs;
1256   PetscFunctionReturn(0);
1257 }
1258 
1259 #undef __FUNCT__
1260 #define __FUNCT__ "MatZeroEntries_MPISBAIJ"
1261 int MatZeroEntries_MPISBAIJ(Mat A)
1262 {
1263   Mat_MPISBAIJ *l = (Mat_MPISBAIJ*)A->data;
1264   int         ierr;
1265 
1266   PetscFunctionBegin;
1267   ierr = MatZeroEntries(l->A);CHKERRQ(ierr);
1268   ierr = MatZeroEntries(l->B);CHKERRQ(ierr);
1269   PetscFunctionReturn(0);
1270 }
1271 
1272 #undef __FUNCT__
1273 #define __FUNCT__ "MatGetInfo_MPISBAIJ"
1274 int MatGetInfo_MPISBAIJ(Mat matin,MatInfoType flag,MatInfo *info)
1275 {
1276   Mat_MPISBAIJ *a = (Mat_MPISBAIJ*)matin->data;
1277   Mat         A = a->A,B = a->B;
1278   int         ierr;
1279   PetscReal   isend[5],irecv[5];
1280 
1281   PetscFunctionBegin;
1282   info->block_size     = (PetscReal)a->bs;
1283   ierr = MatGetInfo(A,MAT_LOCAL,info);CHKERRQ(ierr);
1284   isend[0] = info->nz_used; isend[1] = info->nz_allocated; isend[2] = info->nz_unneeded;
1285   isend[3] = info->memory;  isend[4] = info->mallocs;
1286   ierr = MatGetInfo(B,MAT_LOCAL,info);CHKERRQ(ierr);
1287   isend[0] += info->nz_used; isend[1] += info->nz_allocated; isend[2] += info->nz_unneeded;
1288   isend[3] += info->memory;  isend[4] += info->mallocs;
1289   if (flag == MAT_LOCAL) {
1290     info->nz_used      = isend[0];
1291     info->nz_allocated = isend[1];
1292     info->nz_unneeded  = isend[2];
1293     info->memory       = isend[3];
1294     info->mallocs      = isend[4];
1295   } else if (flag == MAT_GLOBAL_MAX) {
1296     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPI_MAX,matin->comm);CHKERRQ(ierr);
1297     info->nz_used      = irecv[0];
1298     info->nz_allocated = irecv[1];
1299     info->nz_unneeded  = irecv[2];
1300     info->memory       = irecv[3];
1301     info->mallocs      = irecv[4];
1302   } else if (flag == MAT_GLOBAL_SUM) {
1303     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPI_SUM,matin->comm);CHKERRQ(ierr);
1304     info->nz_used      = irecv[0];
1305     info->nz_allocated = irecv[1];
1306     info->nz_unneeded  = irecv[2];
1307     info->memory       = irecv[3];
1308     info->mallocs      = irecv[4];
1309   } else {
1310     SETERRQ1(1,"Unknown MatInfoType argument %d",flag);
1311   }
1312   info->rows_global       = (PetscReal)A->M;
1313   info->columns_global    = (PetscReal)A->N;
1314   info->rows_local        = (PetscReal)A->m;
1315   info->columns_local     = (PetscReal)A->N;
1316   info->fill_ratio_given  = 0; /* no parallel LU/ILU/Cholesky */
1317   info->fill_ratio_needed = 0;
1318   info->factor_mallocs    = 0;
1319   PetscFunctionReturn(0);
1320 }
1321 
1322 #undef __FUNCT__
1323 #define __FUNCT__ "MatSetOption_MPISBAIJ"
1324 int MatSetOption_MPISBAIJ(Mat A,MatOption op)
1325 {
1326   Mat_MPISBAIJ *a = (Mat_MPISBAIJ*)A->data;
1327   int         ierr;
1328 
1329   PetscFunctionBegin;
1330   switch (op) {
1331   case MAT_NO_NEW_NONZERO_LOCATIONS:
1332   case MAT_YES_NEW_NONZERO_LOCATIONS:
1333   case MAT_COLUMNS_UNSORTED:
1334   case MAT_COLUMNS_SORTED:
1335   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1336   case MAT_KEEP_ZEROED_ROWS:
1337   case MAT_NEW_NONZERO_LOCATION_ERR:
1338     ierr = MatSetOption(a->A,op);CHKERRQ(ierr);
1339     ierr = MatSetOption(a->B,op);CHKERRQ(ierr);
1340     break;
1341   case MAT_ROW_ORIENTED:
1342     a->roworiented = PETSC_TRUE;
1343     ierr = MatSetOption(a->A,op);CHKERRQ(ierr);
1344     ierr = MatSetOption(a->B,op);CHKERRQ(ierr);
1345     break;
1346   case MAT_ROWS_SORTED:
1347   case MAT_ROWS_UNSORTED:
1348   case MAT_YES_NEW_DIAGONALS:
1349     PetscLogInfo(A,"Info:MatSetOption_MPIBAIJ:Option ignored\n");
1350     break;
1351   case MAT_COLUMN_ORIENTED:
1352     a->roworiented = PETSC_FALSE;
1353     ierr = MatSetOption(a->A,op);CHKERRQ(ierr);
1354     ierr = MatSetOption(a->B,op);CHKERRQ(ierr);
1355     break;
1356   case MAT_IGNORE_OFF_PROC_ENTRIES:
1357     a->donotstash = PETSC_TRUE;
1358     break;
1359   case MAT_NO_NEW_DIAGONALS:
1360     SETERRQ(PETSC_ERR_SUP,"MAT_NO_NEW_DIAGONALS");
1361   case MAT_USE_HASH_TABLE:
1362     a->ht_flag = PETSC_TRUE;
1363     break;
1364   default:
1365     SETERRQ(PETSC_ERR_SUP,"unknown option");
1366   }
1367   PetscFunctionReturn(0);
1368 }
1369 
1370 #undef __FUNCT__
1371 #define __FUNCT__ "MatTranspose_MPISBAIJ"
1372 int MatTranspose_MPISBAIJ(Mat A,Mat *B)
1373 {
1374   int ierr;
1375   PetscFunctionBegin;
1376   ierr = MatDuplicate(A,MAT_COPY_VALUES,B);CHKERRQ(ierr);
1377   PetscFunctionReturn(0);
1378 }
1379 
1380 #undef __FUNCT__
1381 #define __FUNCT__ "MatDiagonalScale_MPISBAIJ"
1382 int MatDiagonalScale_MPISBAIJ(Mat mat,Vec ll,Vec rr)
1383 {
1384   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
1385   Mat         a = baij->A,b = baij->B;
1386   int         ierr,s1,s2,s3;
1387 
1388   PetscFunctionBegin;
1389   if (ll != rr) {
1390     SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"For symmetric format, left and right scaling vectors must be same\n");
1391   }
1392   ierr = MatGetLocalSize(mat,&s2,&s3);CHKERRQ(ierr);
1393   if (rr) {
1394     ierr = VecGetLocalSize(rr,&s1);CHKERRQ(ierr);
1395     if (s1!=s3) SETERRQ(PETSC_ERR_ARG_SIZ,"right vector non-conforming local size");
1396     /* Overlap communication with computation. */
1397     ierr = VecScatterBegin(rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD,baij->Mvctx);CHKERRQ(ierr);
1398     /*} if (ll) { */
1399     ierr = VecGetLocalSize(ll,&s1);CHKERRQ(ierr);
1400     if (s1!=s2) SETERRQ(PETSC_ERR_ARG_SIZ,"left vector non-conforming local size");
1401     ierr = (*b->ops->diagonalscale)(b,ll,PETSC_NULL);CHKERRQ(ierr);
1402     /* } */
1403   /* scale  the diagonal block */
1404   ierr = (*a->ops->diagonalscale)(a,ll,rr);CHKERRQ(ierr);
1405 
1406   /* if (rr) { */
1407     /* Do a scatter end and then right scale the off-diagonal block */
1408     ierr = VecScatterEnd(rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD,baij->Mvctx);CHKERRQ(ierr);
1409     ierr = (*b->ops->diagonalscale)(b,PETSC_NULL,baij->lvec);CHKERRQ(ierr);
1410   }
1411 
1412   PetscFunctionReturn(0);
1413 }
1414 
1415 #undef __FUNCT__
1416 #define __FUNCT__ "MatZeroRows_MPISBAIJ"
1417 int MatZeroRows_MPISBAIJ(Mat A,IS is,const PetscScalar *diag)
1418 {
1419   PetscFunctionBegin;
1420   SETERRQ(PETSC_ERR_SUP,"No support for this function yet");
1421 }
1422 
1423 #undef __FUNCT__
1424 #define __FUNCT__ "MatPrintHelp_MPISBAIJ"
1425 int MatPrintHelp_MPISBAIJ(Mat A)
1426 {
1427   Mat_MPISBAIJ *a   = (Mat_MPISBAIJ*)A->data;
1428   MPI_Comm    comm = A->comm;
1429   static int  called = 0;
1430   int         ierr;
1431 
1432   PetscFunctionBegin;
1433   if (!a->rank) {
1434     ierr = MatPrintHelp_SeqSBAIJ(a->A);CHKERRQ(ierr);
1435   }
1436   if (called) {PetscFunctionReturn(0);} else called = 1;
1437   ierr = (*PetscHelpPrintf)(comm," Options for MATMPISBAIJ matrix format (the defaults):\n");CHKERRQ(ierr);
1438   ierr = (*PetscHelpPrintf)(comm,"  -mat_use_hash_table <factor>: Use hashtable for efficient matrix assembly\n");CHKERRQ(ierr);
1439   PetscFunctionReturn(0);
1440 }
1441 
1442 #undef __FUNCT__
1443 #define __FUNCT__ "MatSetUnfactored_MPISBAIJ"
1444 int MatSetUnfactored_MPISBAIJ(Mat A)
1445 {
1446   Mat_MPISBAIJ *a   = (Mat_MPISBAIJ*)A->data;
1447   int         ierr;
1448 
1449   PetscFunctionBegin;
1450   ierr = MatSetUnfactored(a->A);CHKERRQ(ierr);
1451   PetscFunctionReturn(0);
1452 }
1453 
1454 static int MatDuplicate_MPISBAIJ(Mat,MatDuplicateOption,Mat *);
1455 
1456 #undef __FUNCT__
1457 #define __FUNCT__ "MatEqual_MPISBAIJ"
1458 int MatEqual_MPISBAIJ(Mat A,Mat B,PetscTruth *flag)
1459 {
1460   Mat_MPISBAIJ *matB = (Mat_MPISBAIJ*)B->data,*matA = (Mat_MPISBAIJ*)A->data;
1461   Mat         a,b,c,d;
1462   PetscTruth  flg;
1463   int         ierr;
1464 
1465   PetscFunctionBegin;
1466   a = matA->A; b = matA->B;
1467   c = matB->A; d = matB->B;
1468 
1469   ierr = MatEqual(a,c,&flg);CHKERRQ(ierr);
1470   if (flg == PETSC_TRUE) {
1471     ierr = MatEqual(b,d,&flg);CHKERRQ(ierr);
1472   }
1473   ierr = MPI_Allreduce(&flg,flag,1,MPI_INT,MPI_LAND,A->comm);CHKERRQ(ierr);
1474   PetscFunctionReturn(0);
1475 }
1476 
1477 #undef __FUNCT__
1478 #define __FUNCT__ "MatSetUpPreallocation_MPISBAIJ"
1479 int MatSetUpPreallocation_MPISBAIJ(Mat A)
1480 {
1481   int        ierr;
1482 
1483   PetscFunctionBegin;
1484   ierr = MatMPISBAIJSetPreallocation(A,1,PETSC_DEFAULT,0,PETSC_DEFAULT,0);CHKERRQ(ierr);
1485   PetscFunctionReturn(0);
1486 }
1487 /* -------------------------------------------------------------------*/
1488 static struct _MatOps MatOps_Values = {
1489   MatSetValues_MPISBAIJ,
1490   MatGetRow_MPISBAIJ,
1491   MatRestoreRow_MPISBAIJ,
1492   MatMult_MPISBAIJ,
1493   MatMultAdd_MPISBAIJ,
1494   MatMultTranspose_MPISBAIJ,
1495   MatMultTransposeAdd_MPISBAIJ,
1496   0,
1497   0,
1498   0,
1499   0,
1500   0,
1501   0,
1502   MatRelax_MPISBAIJ,
1503   MatTranspose_MPISBAIJ,
1504   MatGetInfo_MPISBAIJ,
1505   MatEqual_MPISBAIJ,
1506   MatGetDiagonal_MPISBAIJ,
1507   MatDiagonalScale_MPISBAIJ,
1508   MatNorm_MPISBAIJ,
1509   MatAssemblyBegin_MPISBAIJ,
1510   MatAssemblyEnd_MPISBAIJ,
1511   0,
1512   MatSetOption_MPISBAIJ,
1513   MatZeroEntries_MPISBAIJ,
1514   MatZeroRows_MPISBAIJ,
1515   0,
1516   0,
1517   0,
1518   0,
1519   MatSetUpPreallocation_MPISBAIJ,
1520   0,
1521   0,
1522   0,
1523   0,
1524   MatDuplicate_MPISBAIJ,
1525   0,
1526   0,
1527   0,
1528   0,
1529   0,
1530   0,
1531   0,
1532   MatGetValues_MPISBAIJ,
1533   0,
1534   MatPrintHelp_MPISBAIJ,
1535   MatScale_MPISBAIJ,
1536   0,
1537   0,
1538   0,
1539   MatGetBlockSize_MPISBAIJ,
1540   0,
1541   0,
1542   0,
1543   0,
1544   0,
1545   0,
1546   MatSetUnfactored_MPISBAIJ,
1547   0,
1548   MatSetValuesBlocked_MPISBAIJ,
1549   0,
1550   0,
1551   0,
1552   MatGetPetscMaps_Petsc,
1553   0,
1554   0,
1555   0,
1556   0,
1557   0,
1558   0,
1559   MatGetRowMax_MPISBAIJ};
1560 
1561 
1562 EXTERN_C_BEGIN
1563 #undef __FUNCT__
1564 #define __FUNCT__ "MatGetDiagonalBlock_MPISBAIJ"
1565 int MatGetDiagonalBlock_MPISBAIJ(Mat A,PetscTruth *iscopy,MatReuse reuse,Mat *a)
1566 {
1567   PetscFunctionBegin;
1568   *a      = ((Mat_MPISBAIJ *)A->data)->A;
1569   *iscopy = PETSC_FALSE;
1570   PetscFunctionReturn(0);
1571 }
1572 EXTERN_C_END
1573 
1574 EXTERN_C_BEGIN
1575 #undef __FUNCT__
1576 #define __FUNCT__ "MatMPISBAIJSetPreallocation_MPISBAIJ"
1577 int MatMPISBAIJSetPreallocation_MPISBAIJ(Mat B,int bs,int d_nz,int *d_nnz,int o_nz,int *o_nnz)
1578 {
1579   Mat_MPISBAIJ *b;
1580   int          ierr,i,mbs,Mbs;
1581 
1582   PetscFunctionBegin;
1583   ierr = PetscOptionsGetInt(B->prefix,"-mat_block_size",&bs,PETSC_NULL);CHKERRQ(ierr);
1584 
1585   if (bs < 1) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive");
1586   if (d_nz == PETSC_DECIDE || d_nz == PETSC_DEFAULT) d_nz = 3;
1587   if (o_nz == PETSC_DECIDE || o_nz == PETSC_DEFAULT) o_nz = 1;
1588   if (d_nz < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"d_nz cannot be less than 0: value %d",d_nz);
1589   if (o_nz < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"o_nz cannot be less than 0: value %d",o_nz);
1590   if (d_nnz) {
1591     for (i=0; i<B->m/bs; i++) {
1592       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]);
1593     }
1594   }
1595   if (o_nnz) {
1596     for (i=0; i<B->m/bs; i++) {
1597       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]);
1598     }
1599   }
1600   B->preallocated = PETSC_TRUE;
1601   ierr = PetscSplitOwnershipBlock(B->comm,bs,&B->m,&B->M);CHKERRQ(ierr);
1602   ierr = PetscSplitOwnershipBlock(B->comm,bs,&B->n,&B->N);CHKERRQ(ierr);
1603   ierr = PetscMapCreateMPI(B->comm,B->m,B->M,&B->rmap);CHKERRQ(ierr);
1604   ierr = PetscMapCreateMPI(B->comm,B->m,B->M,&B->cmap);CHKERRQ(ierr);
1605 
1606   b   = (Mat_MPISBAIJ*)B->data;
1607   mbs = B->m/bs;
1608   Mbs = B->M/bs;
1609   if (mbs*bs != B->m) {
1610     SETERRQ2(PETSC_ERR_ARG_SIZ,"No of local rows %d must be divisible by blocksize %d",B->m,bs);
1611   }
1612 
1613   b->bs  = bs;
1614   b->bs2 = bs*bs;
1615   b->mbs = mbs;
1616   b->nbs = mbs;
1617   b->Mbs = Mbs;
1618   b->Nbs = Mbs;
1619 
1620   ierr = MPI_Allgather(&b->mbs,1,MPI_INT,b->rowners+1,1,MPI_INT,B->comm);CHKERRQ(ierr);
1621   b->rowners[0]    = 0;
1622   for (i=2; i<=b->size; i++) {
1623     b->rowners[i] += b->rowners[i-1];
1624   }
1625   b->rstart    = b->rowners[b->rank];
1626   b->rend      = b->rowners[b->rank+1];
1627   b->cstart    = b->rstart;
1628   b->cend      = b->rend;
1629   for (i=0; i<=b->size; i++) {
1630     b->rowners_bs[i] = b->rowners[i]*bs;
1631   }
1632   b->rstart_bs = b-> rstart*bs;
1633   b->rend_bs   = b->rend*bs;
1634 
1635   b->cstart_bs = b->cstart*bs;
1636   b->cend_bs   = b->cend*bs;
1637 
1638 
1639   ierr = MatCreateSeqSBAIJ(PETSC_COMM_SELF,bs,B->m,B->m,d_nz,d_nnz,&b->A);CHKERRQ(ierr);
1640   PetscLogObjectParent(B,b->A);
1641   ierr = MatCreateSeqBAIJ(PETSC_COMM_SELF,bs,B->m,B->M,o_nz,o_nnz,&b->B);CHKERRQ(ierr);
1642   PetscLogObjectParent(B,b->B);
1643 
1644   /* build cache for off array entries formed */
1645   ierr = MatStashCreate_Private(B->comm,bs,&B->bstash);CHKERRQ(ierr);
1646 
1647   PetscFunctionReturn(0);
1648 }
1649 EXTERN_C_END
1650 
1651 EXTERN_C_BEGIN
1652 #undef __FUNCT__
1653 #define __FUNCT__ "MatCreate_MPISBAIJ"
1654 int MatCreate_MPISBAIJ(Mat B)
1655 {
1656   Mat_MPISBAIJ *b;
1657   int          ierr;
1658   PetscTruth   flg;
1659 
1660   PetscFunctionBegin;
1661 
1662   ierr    = PetscNew(Mat_MPISBAIJ,&b);CHKERRQ(ierr);
1663   B->data = (void*)b;
1664   ierr    = PetscMemzero(b,sizeof(Mat_MPISBAIJ));CHKERRQ(ierr);
1665   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
1666 
1667   B->ops->destroy    = MatDestroy_MPISBAIJ;
1668   B->ops->view       = MatView_MPISBAIJ;
1669   B->mapping    = 0;
1670   B->factor     = 0;
1671   B->assembled  = PETSC_FALSE;
1672 
1673   B->insertmode = NOT_SET_VALUES;
1674   ierr = MPI_Comm_rank(B->comm,&b->rank);CHKERRQ(ierr);
1675   ierr = MPI_Comm_size(B->comm,&b->size);CHKERRQ(ierr);
1676 
1677   /* build local table of row and column ownerships */
1678   ierr          = PetscMalloc(3*(b->size+2)*sizeof(int),&b->rowners);CHKERRQ(ierr);
1679   b->cowners    = b->rowners + b->size + 2;
1680   b->rowners_bs = b->cowners + b->size + 2;
1681   PetscLogObjectMemory(B,3*(b->size+2)*sizeof(int)+sizeof(struct _p_Mat)+sizeof(Mat_MPISBAIJ));
1682 
1683   /* build cache for off array entries formed */
1684   ierr = MatStashCreate_Private(B->comm,1,&B->stash);CHKERRQ(ierr);
1685   b->donotstash  = PETSC_FALSE;
1686   b->colmap      = PETSC_NULL;
1687   b->garray      = PETSC_NULL;
1688   b->roworiented = PETSC_TRUE;
1689 
1690 #if defined(PETSC_USE_MAT_SINGLE)
1691   /* stuff for MatSetValues_XXX in single precision */
1692   b->setvalueslen     = 0;
1693   b->setvaluescopy    = PETSC_NULL;
1694 #endif
1695 
1696   /* stuff used in block assembly */
1697   b->barray       = 0;
1698 
1699   /* stuff used for matrix vector multiply */
1700   b->lvec         = 0;
1701   b->Mvctx        = 0;
1702   b->slvec0       = 0;
1703   b->slvec0b      = 0;
1704   b->slvec1       = 0;
1705   b->slvec1a      = 0;
1706   b->slvec1b      = 0;
1707   b->sMvctx       = 0;
1708 
1709   /* stuff for MatGetRow() */
1710   b->rowindices   = 0;
1711   b->rowvalues    = 0;
1712   b->getrowactive = PETSC_FALSE;
1713 
1714   /* hash table stuff */
1715   b->ht           = 0;
1716   b->hd           = 0;
1717   b->ht_size      = 0;
1718   b->ht_flag      = PETSC_FALSE;
1719   b->ht_fact      = 0;
1720   b->ht_total_ct  = 0;
1721   b->ht_insert_ct = 0;
1722 
1723   ierr = PetscOptionsHasName(B->prefix,"-mat_use_hash_table",&flg);CHKERRQ(ierr);
1724   if (flg) {
1725     PetscReal fact = 1.39;
1726     ierr = MatSetOption(B,MAT_USE_HASH_TABLE);CHKERRQ(ierr);
1727     ierr = PetscOptionsGetReal(B->prefix,"-mat_use_hash_table",&fact,PETSC_NULL);CHKERRQ(ierr);
1728     if (fact <= 1.0) fact = 1.39;
1729     ierr = MatMPIBAIJSetHashTableFactor(B,fact);CHKERRQ(ierr);
1730     PetscLogInfo(0,"MatCreateMPISBAIJ:Hash table Factor used %5.2f\n",fact);
1731   }
1732   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatStoreValues_C",
1733                                      "MatStoreValues_MPISBAIJ",
1734                                      MatStoreValues_MPISBAIJ);CHKERRQ(ierr);
1735   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatRetrieveValues_C",
1736                                      "MatRetrieveValues_MPISBAIJ",
1737                                      MatRetrieveValues_MPISBAIJ);CHKERRQ(ierr);
1738   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetDiagonalBlock_C",
1739                                      "MatGetDiagonalBlock_MPISBAIJ",
1740                                      MatGetDiagonalBlock_MPISBAIJ);CHKERRQ(ierr);
1741   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMPISBAIJSetPreallocation_C",
1742                                      "MatMPISBAIJSetPreallocation_MPISBAIJ",
1743                                      MatMPISBAIJSetPreallocation_MPISBAIJ);CHKERRQ(ierr);
1744   PetscFunctionReturn(0);
1745 }
1746 EXTERN_C_END
1747 
1748 #undef __FUNCT__
1749 #define __FUNCT__ "MatMPISBAIJSetPreallocation"
1750 /*@C
1751    MatMPISBAIJSetPreallocation - For good matrix assembly performance
1752    the user should preallocate the matrix storage by setting the parameters
1753    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
1754    performance can be increased by more than a factor of 50.
1755 
1756    Collective on Mat
1757 
1758    Input Parameters:
1759 +  A - the matrix
1760 .  bs   - size of blockk
1761 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
1762            submatrix  (same for all local rows)
1763 .  d_nnz - array containing the number of block nonzeros in the various block rows
1764            in the upper triangular and diagonal part of the in diagonal portion of the local
1765            (possibly different for each block row) or PETSC_NULL.  You must leave room
1766            for the diagonal entry even if it is zero.
1767 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
1768            submatrix (same for all local rows).
1769 -  o_nnz - array containing the number of nonzeros in the various block rows of the
1770            off-diagonal portion of the local submatrix (possibly different for
1771            each block row) or PETSC_NULL.
1772 
1773 
1774    Options Database Keys:
1775 .   -mat_no_unroll - uses code that does not unroll the loops in the
1776                      block calculations (much slower)
1777 .   -mat_block_size - size of the blocks to use
1778 
1779    Notes:
1780 
1781    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
1782    than it must be used on all processors that share the object for that argument.
1783 
1784    Storage Information:
1785    For a square global matrix we define each processor's diagonal portion
1786    to be its local rows and the corresponding columns (a square submatrix);
1787    each processor's off-diagonal portion encompasses the remainder of the
1788    local matrix (a rectangular submatrix).
1789 
1790    The user can specify preallocated storage for the diagonal part of
1791    the local submatrix with either d_nz or d_nnz (not both).  Set
1792    d_nz=PETSC_DEFAULT and d_nnz=PETSC_NULL for PETSc to control dynamic
1793    memory allocation.  Likewise, specify preallocated storage for the
1794    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
1795 
1796    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
1797    the figure below we depict these three local rows and all columns (0-11).
1798 
1799 .vb
1800            0 1 2 3 4 5 6 7 8 9 10 11
1801           -------------------
1802    row 3  |  o o o d d d o o o o o o
1803    row 4  |  o o o d d d o o o o o o
1804    row 5  |  o o o d d d o o o o o o
1805           -------------------
1806 .ve
1807 
1808    Thus, any entries in the d locations are stored in the d (diagonal)
1809    submatrix, and any entries in the o locations are stored in the
1810    o (off-diagonal) submatrix.  Note that the d matrix is stored in
1811    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
1812 
1813    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
1814    plus the diagonal part of the d matrix,
1815    and o_nz should indicate the number of block nonzeros per row in the o matrix.
1816    In general, for PDE problems in which most nonzeros are near the diagonal,
1817    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
1818    or you will get TERRIBLE performance; see the users' manual chapter on
1819    matrices.
1820 
1821    Level: intermediate
1822 
1823 .keywords: matrix, block, aij, compressed row, sparse, parallel
1824 
1825 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateMPIBAIJ()
1826 @*/
1827 int MatMPISBAIJSetPreallocation(Mat B,int bs,int d_nz,const int d_nnz[],int o_nz,const int o_nnz[])
1828 {
1829   int ierr,(*f)(Mat,int,int,const int[],int,const int[]);
1830 
1831   PetscFunctionBegin;
1832   ierr = PetscObjectQueryFunction((PetscObject)B,"MatMPISBAIJSetPreallocation_C",(void (**)(void))&f);CHKERRQ(ierr);
1833   if (f) {
1834     ierr = (*f)(B,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
1835   }
1836   PetscFunctionReturn(0);
1837 }
1838 
1839 #undef __FUNCT__
1840 #define __FUNCT__ "MatCreateMPISBAIJ"
1841 /*@C
1842    MatCreateMPISBAIJ - Creates a sparse parallel matrix in symmetric block AIJ format
1843    (block compressed row).  For good matrix assembly performance
1844    the user should preallocate the matrix storage by setting the parameters
1845    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
1846    performance can be increased by more than a factor of 50.
1847 
1848    Collective on MPI_Comm
1849 
1850    Input Parameters:
1851 +  comm - MPI communicator
1852 .  bs   - size of blockk
1853 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
1854            This value should be the same as the local size used in creating the
1855            y vector for the matrix-vector product y = Ax.
1856 .  n - number of local columns (or PETSC_DECIDE to have calculated if N is given)
1857            This value should be the same as the local size used in creating the
1858            x vector for the matrix-vector product y = Ax.
1859 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
1860 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
1861 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
1862            submatrix  (same for all local rows)
1863 .  d_nnz - array containing the number of block nonzeros in the various block rows
1864            in the upper triangular portion of the in diagonal portion of the local
1865            (possibly different for each block block row) or PETSC_NULL.
1866            You must leave room for the diagonal entry even if it is zero.
1867 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
1868            submatrix (same for all local rows).
1869 -  o_nnz - array containing the number of nonzeros in the various block rows of the
1870            off-diagonal portion of the local submatrix (possibly different for
1871            each block row) or PETSC_NULL.
1872 
1873    Output Parameter:
1874 .  A - the matrix
1875 
1876    Options Database Keys:
1877 .   -mat_no_unroll - uses code that does not unroll the loops in the
1878                      block calculations (much slower)
1879 .   -mat_block_size - size of the blocks to use
1880 .   -mat_mpi - use the parallel matrix data structures even on one processor
1881                (defaults to using SeqBAIJ format on one processor)
1882 
1883    Notes:
1884    The user MUST specify either the local or global matrix dimensions
1885    (possibly both).
1886 
1887    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
1888    than it must be used on all processors that share the object for that argument.
1889 
1890    Storage Information:
1891    For a square global matrix we define each processor's diagonal portion
1892    to be its local rows and the corresponding columns (a square submatrix);
1893    each processor's off-diagonal portion encompasses the remainder of the
1894    local matrix (a rectangular submatrix).
1895 
1896    The user can specify preallocated storage for the diagonal part of
1897    the local submatrix with either d_nz or d_nnz (not both).  Set
1898    d_nz=PETSC_DEFAULT and d_nnz=PETSC_NULL for PETSc to control dynamic
1899    memory allocation.  Likewise, specify preallocated storage for the
1900    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
1901 
1902    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
1903    the figure below we depict these three local rows and all columns (0-11).
1904 
1905 .vb
1906            0 1 2 3 4 5 6 7 8 9 10 11
1907           -------------------
1908    row 3  |  o o o d d d o o o o o o
1909    row 4  |  o o o d d d o o o o o o
1910    row 5  |  o o o d d d o o o o o o
1911           -------------------
1912 .ve
1913 
1914    Thus, any entries in the d locations are stored in the d (diagonal)
1915    submatrix, and any entries in the o locations are stored in the
1916    o (off-diagonal) submatrix.  Note that the d matrix is stored in
1917    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
1918 
1919    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
1920    plus the diagonal part of the d matrix,
1921    and o_nz should indicate the number of block nonzeros per row in the o matrix.
1922    In general, for PDE problems in which most nonzeros are near the diagonal,
1923    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
1924    or you will get TERRIBLE performance; see the users' manual chapter on
1925    matrices.
1926 
1927    Level: intermediate
1928 
1929 .keywords: matrix, block, aij, compressed row, sparse, parallel
1930 
1931 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateMPIBAIJ()
1932 @*/
1933 
1934 int MatCreateMPISBAIJ(MPI_Comm comm,int bs,int m,int n,int M,int N,int d_nz,const int d_nnz[],int o_nz,const int o_nnz[],Mat *A)
1935 {
1936   int ierr,size;
1937 
1938   PetscFunctionBegin;
1939   ierr = MatCreate(comm,m,n,M,N,A);CHKERRQ(ierr);
1940   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
1941   if (size > 1) {
1942     ierr = MatSetType(*A,MATMPISBAIJ);CHKERRQ(ierr);
1943     ierr = MatMPISBAIJSetPreallocation(*A,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
1944   } else {
1945     ierr = MatSetType(*A,MATSEQSBAIJ);CHKERRQ(ierr);
1946     ierr = MatSeqSBAIJSetPreallocation(*A,bs,d_nz,d_nnz);CHKERRQ(ierr);
1947   }
1948   PetscFunctionReturn(0);
1949 }
1950 
1951 
1952 #undef __FUNCT__
1953 #define __FUNCT__ "MatDuplicate_MPISBAIJ"
1954 static int MatDuplicate_MPISBAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
1955 {
1956   Mat          mat;
1957   Mat_MPISBAIJ *a,*oldmat = (Mat_MPISBAIJ*)matin->data;
1958   int          ierr,len=0;
1959 
1960   PetscFunctionBegin;
1961   *newmat       = 0;
1962   ierr = MatCreate(matin->comm,matin->m,matin->n,matin->M,matin->N,&mat);CHKERRQ(ierr);
1963   ierr = MatSetType(mat,MATMPISBAIJ);CHKERRQ(ierr);
1964   mat->preallocated = PETSC_TRUE;
1965   a = (Mat_MPISBAIJ*)mat->data;
1966   a->bs  = oldmat->bs;
1967   a->bs2 = oldmat->bs2;
1968   a->mbs = oldmat->mbs;
1969   a->nbs = oldmat->nbs;
1970   a->Mbs = oldmat->Mbs;
1971   a->Nbs = oldmat->Nbs;
1972 
1973   a->rstart       = oldmat->rstart;
1974   a->rend         = oldmat->rend;
1975   a->cstart       = oldmat->cstart;
1976   a->cend         = oldmat->cend;
1977   a->size         = oldmat->size;
1978   a->rank         = oldmat->rank;
1979   a->donotstash   = oldmat->donotstash;
1980   a->roworiented  = oldmat->roworiented;
1981   a->rowindices   = 0;
1982   a->rowvalues    = 0;
1983   a->getrowactive = PETSC_FALSE;
1984   a->barray       = 0;
1985   a->rstart_bs    = oldmat->rstart_bs;
1986   a->rend_bs      = oldmat->rend_bs;
1987   a->cstart_bs    = oldmat->cstart_bs;
1988   a->cend_bs      = oldmat->cend_bs;
1989 
1990   /* hash table stuff */
1991   a->ht           = 0;
1992   a->hd           = 0;
1993   a->ht_size      = 0;
1994   a->ht_flag      = oldmat->ht_flag;
1995   a->ht_fact      = oldmat->ht_fact;
1996   a->ht_total_ct  = 0;
1997   a->ht_insert_ct = 0;
1998 
1999   ierr = PetscMalloc(3*(a->size+2)*sizeof(int),&a->rowners);CHKERRQ(ierr);
2000   PetscLogObjectMemory(mat,3*(a->size+2)*sizeof(int)+sizeof(struct _p_Mat)+sizeof(Mat_MPISBAIJ));
2001   a->cowners    = a->rowners + a->size + 2;
2002   a->rowners_bs = a->cowners + a->size + 2;
2003   ierr = PetscMemcpy(a->rowners,oldmat->rowners,3*(a->size+2)*sizeof(int));CHKERRQ(ierr);
2004   ierr = MatStashCreate_Private(matin->comm,1,&mat->stash);CHKERRQ(ierr);
2005   ierr = MatStashCreate_Private(matin->comm,oldmat->bs,&mat->bstash);CHKERRQ(ierr);
2006   if (oldmat->colmap) {
2007 #if defined (PETSC_USE_CTABLE)
2008     ierr = PetscTableCreateCopy(oldmat->colmap,&a->colmap);CHKERRQ(ierr);
2009 #else
2010     ierr = PetscMalloc((a->Nbs)*sizeof(int),&a->colmap);CHKERRQ(ierr);
2011     PetscLogObjectMemory(mat,(a->Nbs)*sizeof(int));
2012     ierr = PetscMemcpy(a->colmap,oldmat->colmap,(a->Nbs)*sizeof(int));CHKERRQ(ierr);
2013 #endif
2014   } else a->colmap = 0;
2015   if (oldmat->garray && (len = ((Mat_SeqBAIJ*)(oldmat->B->data))->nbs)) {
2016     ierr = PetscMalloc(len*sizeof(int),&a->garray);CHKERRQ(ierr);
2017     PetscLogObjectMemory(mat,len*sizeof(int));
2018     ierr = PetscMemcpy(a->garray,oldmat->garray,len*sizeof(int));CHKERRQ(ierr);
2019   } else a->garray = 0;
2020 
2021   ierr =  VecDuplicate(oldmat->lvec,&a->lvec);CHKERRQ(ierr);
2022   PetscLogObjectParent(mat,a->lvec);
2023   ierr =  VecScatterCopy(oldmat->Mvctx,&a->Mvctx);CHKERRQ(ierr);
2024 
2025   PetscLogObjectParent(mat,a->Mvctx);
2026   ierr =  MatDuplicate(oldmat->A,cpvalues,&a->A);CHKERRQ(ierr);
2027   PetscLogObjectParent(mat,a->A);
2028   ierr =  MatDuplicate(oldmat->B,cpvalues,&a->B);CHKERRQ(ierr);
2029   PetscLogObjectParent(mat,a->B);
2030   ierr = PetscFListDuplicate(mat->qlist,&matin->qlist);CHKERRQ(ierr);
2031   *newmat = mat;
2032   PetscFunctionReturn(0);
2033 }
2034 
2035 #include "petscsys.h"
2036 
2037 EXTERN_C_BEGIN
2038 #undef __FUNCT__
2039 #define __FUNCT__ "MatLoad_MPISBAIJ"
2040 int MatLoad_MPISBAIJ(PetscViewer viewer,MatType type,Mat *newmat)
2041 {
2042   Mat          A;
2043   int          i,nz,ierr,j,rstart,rend,fd;
2044   PetscScalar  *vals,*buf;
2045   MPI_Comm     comm = ((PetscObject)viewer)->comm;
2046   MPI_Status   status;
2047   int          header[4],rank,size,*rowlengths = 0,M,N,m,*rowners,*browners,maxnz,*cols;
2048   int          *locrowlens,*sndcounts = 0,*procsnz = 0,jj,*mycols,*ibuf;
2049   int          tag = ((PetscObject)viewer)->tag,bs=1,Mbs,mbs,extra_rows;
2050   int          *dlens,*odlens,*mask,*masked1,*masked2,rowcount,odcount;
2051   int          dcount,kmax,k,nzcount,tmp;
2052 #if defined(PETSC_HAVE_SPOOLES) || defined(PETSC_HAVE_MUMPS)
2053   PetscTruth   flag;
2054 #endif
2055 
2056   PetscFunctionBegin;
2057   ierr = PetscOptionsGetInt(PETSC_NULL,"-matload_block_size",&bs,PETSC_NULL);CHKERRQ(ierr);
2058 
2059   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2060   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
2061   if (!rank) {
2062     ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
2063     ierr = PetscBinaryRead(fd,(char *)header,4,PETSC_INT);CHKERRQ(ierr);
2064     if (header[0] != MAT_FILE_COOKIE) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
2065     if (header[3] < 0) {
2066       SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as MPISBAIJ");
2067     }
2068   }
2069 
2070   ierr = MPI_Bcast(header+1,3,MPI_INT,0,comm);CHKERRQ(ierr);
2071   M = header[1]; N = header[2];
2072 
2073   if (M != N) SETERRQ(PETSC_ERR_SUP,"Can only do square matrices");
2074 
2075   /*
2076      This code adds extra rows to make sure the number of rows is
2077      divisible by the blocksize
2078   */
2079   Mbs        = M/bs;
2080   extra_rows = bs - M + bs*(Mbs);
2081   if (extra_rows == bs) extra_rows = 0;
2082   else                  Mbs++;
2083   if (extra_rows &&!rank) {
2084     PetscLogInfo(0,"MatLoad_MPISBAIJ:Padding loaded matrix to match blocksize\n");
2085   }
2086 
2087   /* determine ownership of all rows */
2088   mbs        = Mbs/size + ((Mbs % size) > rank);
2089   m          = mbs*bs;
2090   ierr       = PetscMalloc(2*(size+2)*sizeof(int),&rowners);CHKERRQ(ierr);
2091   browners   = rowners + size + 1;
2092   ierr       = MPI_Allgather(&mbs,1,MPI_INT,rowners+1,1,MPI_INT,comm);CHKERRQ(ierr);
2093   rowners[0] = 0;
2094   for (i=2; i<=size; i++) rowners[i] += rowners[i-1];
2095   for (i=0; i<=size;  i++) browners[i] = rowners[i]*bs;
2096   rstart = rowners[rank];
2097   rend   = rowners[rank+1];
2098 
2099   /* distribute row lengths to all processors */
2100   ierr = PetscMalloc((rend-rstart)*bs*sizeof(int),&locrowlens);CHKERRQ(ierr);
2101   if (!rank) {
2102     ierr = PetscMalloc((M+extra_rows)*sizeof(int),&rowlengths);CHKERRQ(ierr);
2103     ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
2104     for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
2105     ierr = PetscMalloc(size*sizeof(int),&sndcounts);CHKERRQ(ierr);
2106     for (i=0; i<size; i++) sndcounts[i] = browners[i+1] - browners[i];
2107     ierr = MPI_Scatterv(rowlengths,sndcounts,browners,MPI_INT,locrowlens,(rend-rstart)*bs,MPI_INT,0,comm);CHKERRQ(ierr);
2108     ierr = PetscFree(sndcounts);CHKERRQ(ierr);
2109   } else {
2110     ierr = MPI_Scatterv(0,0,0,MPI_INT,locrowlens,(rend-rstart)*bs,MPI_INT,0,comm);CHKERRQ(ierr);
2111   }
2112 
2113   if (!rank) {   /* procs[0] */
2114     /* calculate the number of nonzeros on each processor */
2115     ierr = PetscMalloc(size*sizeof(int),&procsnz);CHKERRQ(ierr);
2116     ierr = PetscMemzero(procsnz,size*sizeof(int));CHKERRQ(ierr);
2117     for (i=0; i<size; i++) {
2118       for (j=rowners[i]*bs; j< rowners[i+1]*bs; j++) {
2119         procsnz[i] += rowlengths[j];
2120       }
2121     }
2122     ierr = PetscFree(rowlengths);CHKERRQ(ierr);
2123 
2124     /* determine max buffer needed and allocate it */
2125     maxnz = 0;
2126     for (i=0; i<size; i++) {
2127       maxnz = PetscMax(maxnz,procsnz[i]);
2128     }
2129     ierr = PetscMalloc(maxnz*sizeof(int),&cols);CHKERRQ(ierr);
2130 
2131     /* read in my part of the matrix column indices  */
2132     nz     = procsnz[0];
2133     ierr   = PetscMalloc(nz*sizeof(int),&ibuf);CHKERRQ(ierr);
2134     mycols = ibuf;
2135     if (size == 1)  nz -= extra_rows;
2136     ierr = PetscBinaryRead(fd,mycols,nz,PETSC_INT);CHKERRQ(ierr);
2137     if (size == 1)  for (i=0; i< extra_rows; i++) { mycols[nz+i] = M+i; }
2138 
2139     /* read in every ones (except the last) and ship off */
2140     for (i=1; i<size-1; i++) {
2141       nz   = procsnz[i];
2142       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2143       ierr = MPI_Send(cols,nz,MPI_INT,i,tag,comm);CHKERRQ(ierr);
2144     }
2145     /* read in the stuff for the last proc */
2146     if (size != 1) {
2147       nz   = procsnz[size-1] - extra_rows;  /* the extra rows are not on the disk */
2148       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2149       for (i=0; i<extra_rows; i++) cols[nz+i] = M+i;
2150       ierr = MPI_Send(cols,nz+extra_rows,MPI_INT,size-1,tag,comm);CHKERRQ(ierr);
2151     }
2152     ierr = PetscFree(cols);CHKERRQ(ierr);
2153   } else {  /* procs[i], i>0 */
2154     /* determine buffer space needed for message */
2155     nz = 0;
2156     for (i=0; i<m; i++) {
2157       nz += locrowlens[i];
2158     }
2159     ierr   = PetscMalloc(nz*sizeof(int),&ibuf);CHKERRQ(ierr);
2160     mycols = ibuf;
2161     /* receive message of column indices*/
2162     ierr = MPI_Recv(mycols,nz,MPI_INT,0,tag,comm,&status);CHKERRQ(ierr);
2163     ierr = MPI_Get_count(&status,MPI_INT,&maxnz);CHKERRQ(ierr);
2164     if (maxnz != nz) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2165   }
2166 
2167   /* loop over local rows, determining number of off diagonal entries */
2168   ierr     = PetscMalloc(2*(rend-rstart+1)*sizeof(int),&dlens);CHKERRQ(ierr);
2169   odlens   = dlens + (rend-rstart);
2170   ierr     = PetscMalloc(3*Mbs*sizeof(int),&mask);CHKERRQ(ierr);
2171   ierr     = PetscMemzero(mask,3*Mbs*sizeof(int));CHKERRQ(ierr);
2172   masked1  = mask    + Mbs;
2173   masked2  = masked1 + Mbs;
2174   rowcount = 0; nzcount = 0;
2175   for (i=0; i<mbs; i++) {
2176     dcount  = 0;
2177     odcount = 0;
2178     for (j=0; j<bs; j++) {
2179       kmax = locrowlens[rowcount];
2180       for (k=0; k<kmax; k++) {
2181         tmp = mycols[nzcount++]/bs; /* block col. index */
2182         if (!mask[tmp]) {
2183           mask[tmp] = 1;
2184           if (tmp < rstart || tmp >= rend) masked2[odcount++] = tmp; /* entry in off-diag portion */
2185           else masked1[dcount++] = tmp; /* entry in diag portion */
2186         }
2187       }
2188       rowcount++;
2189     }
2190 
2191     dlens[i]  = dcount;  /* d_nzz[i] */
2192     odlens[i] = odcount; /* o_nzz[i] */
2193 
2194     /* zero out the mask elements we set */
2195     for (j=0; j<dcount; j++) mask[masked1[j]] = 0;
2196     for (j=0; j<odcount; j++) mask[masked2[j]] = 0;
2197   }
2198 
2199   /* create our matrix */
2200   ierr = MatCreateMPISBAIJ(comm,bs,m,m,PETSC_DETERMINE,PETSC_DETERMINE,0,dlens,0,odlens,newmat);
2201   CHKERRQ(ierr);
2202   A = *newmat;
2203   ierr = MatSetOption(A,MAT_COLUMNS_SORTED);CHKERRQ(ierr);
2204 
2205   if (!rank) {
2206     ierr = PetscMalloc(maxnz*sizeof(PetscScalar),&buf);CHKERRQ(ierr);
2207     /* read in my part of the matrix numerical values  */
2208     nz = procsnz[0];
2209     vals = buf;
2210     mycols = ibuf;
2211     if (size == 1)  nz -= extra_rows;
2212     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2213     if (size == 1)  for (i=0; i< extra_rows; i++) { vals[nz+i] = 1.0; }
2214 
2215     /* insert into matrix */
2216     jj      = rstart*bs;
2217     for (i=0; i<m; i++) {
2218       ierr = MatSetValues(A,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2219       mycols += locrowlens[i];
2220       vals   += locrowlens[i];
2221       jj++;
2222     }
2223 
2224     /* read in other processors (except the last one) and ship out */
2225     for (i=1; i<size-1; i++) {
2226       nz   = procsnz[i];
2227       vals = buf;
2228       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2229       ierr = MPI_Send(vals,nz,MPIU_SCALAR,i,A->tag,comm);CHKERRQ(ierr);
2230     }
2231     /* the last proc */
2232     if (size != 1){
2233       nz   = procsnz[i] - extra_rows;
2234       vals = buf;
2235       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2236       for (i=0; i<extra_rows; i++) vals[nz+i] = 1.0;
2237       ierr = MPI_Send(vals,nz+extra_rows,MPIU_SCALAR,size-1,A->tag,comm);CHKERRQ(ierr);
2238     }
2239     ierr = PetscFree(procsnz);CHKERRQ(ierr);
2240 
2241   } else {
2242     /* receive numeric values */
2243     ierr = PetscMalloc(nz*sizeof(PetscScalar),&buf);CHKERRQ(ierr);
2244 
2245     /* receive message of values*/
2246     vals   = buf;
2247     mycols = ibuf;
2248     ierr   = MPI_Recv(vals,nz,MPIU_SCALAR,0,A->tag,comm,&status);CHKERRQ(ierr);
2249     ierr   = MPI_Get_count(&status,MPIU_SCALAR,&maxnz);CHKERRQ(ierr);
2250     if (maxnz != nz) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2251 
2252     /* insert into matrix */
2253     jj      = rstart*bs;
2254     for (i=0; i<m; i++) {
2255       ierr    = MatSetValues_MPISBAIJ(A,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2256       mycols += locrowlens[i];
2257       vals   += locrowlens[i];
2258       jj++;
2259     }
2260   }
2261 
2262   ierr = PetscFree(locrowlens);CHKERRQ(ierr);
2263   ierr = PetscFree(buf);CHKERRQ(ierr);
2264   ierr = PetscFree(ibuf);CHKERRQ(ierr);
2265   ierr = PetscFree(rowners);CHKERRQ(ierr);
2266   ierr = PetscFree(dlens);CHKERRQ(ierr);
2267   ierr = PetscFree(mask);CHKERRQ(ierr);
2268   ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2269   ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2270 #if defined(PETSC_HAVE_SPOOLES)
2271   ierr = PetscOptionsHasName(A->prefix,"-mat_sbaij_spooles",&flag);CHKERRQ(ierr);
2272   if (flag) {
2273     if (size == 1) {
2274       ierr = MatUseSpooles_SeqAIJ(A);CHKERRQ(ierr);
2275     } else {
2276       ierr = MatUseSpooles_MPISBAIJ(A);CHKERRQ(ierr);
2277     }
2278   }
2279 #endif
2280 #if defined(PETSC_HAVE_MUMPS)
2281   ierr = PetscOptionsHasName(A->prefix,"-mat_sbaij_mumps",&flag);CHKERRQ(ierr);
2282   if (flag) {
2283       ierr = MatUseMUMPS_MPIAIJ(A);CHKERRQ(ierr);
2284   }
2285 #endif
2286   PetscFunctionReturn(0);
2287 }
2288 EXTERN_C_END
2289 
2290 #undef __FUNCT__
2291 #define __FUNCT__ "MatMPISBAIJSetHashTableFactor"
2292 /*@
2293    MatMPISBAIJSetHashTableFactor - Sets the factor required to compute the size of the HashTable.
2294 
2295    Input Parameters:
2296 .  mat  - the matrix
2297 .  fact - factor
2298 
2299    Collective on Mat
2300 
2301    Level: advanced
2302 
2303   Notes:
2304    This can also be set by the command line option: -mat_use_hash_table fact
2305 
2306 .keywords: matrix, hashtable, factor, HT
2307 
2308 .seealso: MatSetOption()
2309 @*/
2310 int MatMPISBAIJSetHashTableFactor(Mat mat,PetscReal fact)
2311 {
2312   PetscFunctionBegin;
2313   SETERRQ(1,"Function not yet written for SBAIJ format");
2314   /* PetscFunctionReturn(0); */
2315 }
2316 
2317 #undef __FUNCT__
2318 #define __FUNCT__ "MatGetRowMax_MPISBAIJ"
2319 int MatGetRowMax_MPISBAIJ(Mat A,Vec v)
2320 {
2321   Mat_MPISBAIJ *a = (Mat_MPISBAIJ*)A->data;
2322   Mat_SeqBAIJ  *b = (Mat_SeqBAIJ*)(a->B)->data;
2323   PetscReal    atmp;
2324   PetscReal    *work,*svalues,*rvalues;
2325   int          ierr,i,bs,mbs,*bi,*bj,brow,j,ncols,krow,kcol,col,row,Mbs,bcol;
2326   int          rank,size,*rowners_bs,dest,count,source;
2327   PetscScalar  *va;
2328   MatScalar    *ba;
2329   MPI_Status   stat;
2330 
2331   PetscFunctionBegin;
2332   ierr = MatGetRowMax(a->A,v);CHKERRQ(ierr);
2333   ierr = VecGetArray(v,&va);CHKERRQ(ierr);
2334 
2335   ierr = MPI_Comm_size(A->comm,&size);CHKERRQ(ierr);
2336   ierr = MPI_Comm_rank(A->comm,&rank);CHKERRQ(ierr);
2337 
2338   bs   = a->bs;
2339   mbs  = a->mbs;
2340   Mbs  = a->Mbs;
2341   ba   = b->a;
2342   bi   = b->i;
2343   bj   = b->j;
2344   /*
2345   PetscSynchronizedPrintf(A->comm,"[%d] M: %d, bs: %d, mbs: %d \n",rank,bs*Mbs,bs,mbs);
2346   PetscSynchronizedFlush(A->comm);
2347   */
2348 
2349   /* find ownerships */
2350   rowners_bs = a->rowners_bs;
2351   /*
2352   if (!rank){
2353     for (i=0; i<size+1; i++) PetscPrintf(PETSC_COMM_SELF," rowners_bs[%d]: %d\n",i,rowners_bs[i]);
2354   }
2355   */
2356 
2357   /* each proc creates an array to be distributed */
2358   ierr = PetscMalloc(bs*Mbs*sizeof(PetscReal),&work);CHKERRQ(ierr);
2359   ierr = PetscMemzero(work,bs*Mbs*sizeof(PetscReal));CHKERRQ(ierr);
2360 
2361   /* row_max for B */
2362   if (rank != size-1){
2363     for (i=0; i<mbs; i++) {
2364       ncols = bi[1] - bi[0]; bi++;
2365       brow  = bs*i;
2366       for (j=0; j<ncols; j++){
2367         bcol = bs*(*bj);
2368         for (kcol=0; kcol<bs; kcol++){
2369           col = bcol + kcol;                 /* local col index */
2370           col += rowners_bs[rank+1];      /* global col index */
2371           /* PetscPrintf(PETSC_COMM_SELF,"[%d], col: %d\n",rank,col); */
2372           for (krow=0; krow<bs; krow++){
2373             atmp = PetscAbsScalar(*ba); ba++;
2374             row = brow + krow;    /* local row index */
2375             /* printf("val[%d,%d]: %g\n",row,col,atmp); */
2376             if (PetscRealPart(va[row]) < atmp) va[row] = atmp;
2377             if (work[col] < atmp) work[col] = atmp;
2378           }
2379         }
2380         bj++;
2381       }
2382     }
2383     /*
2384       PetscPrintf(PETSC_COMM_SELF,"[%d], work: ",rank);
2385       for (i=0; i<bs*Mbs; i++) PetscPrintf(PETSC_COMM_SELF,"%g ",work[i]);
2386       PetscPrintf(PETSC_COMM_SELF,"[%d]: \n");
2387       */
2388 
2389     /* send values to its owners */
2390     for (dest=rank+1; dest<size; dest++){
2391       svalues = work + rowners_bs[dest];
2392       count   = rowners_bs[dest+1]-rowners_bs[dest];
2393       ierr    = MPI_Send(svalues,count,MPIU_REAL,dest,rank,A->comm);CHKERRQ(ierr);
2394       /*
2395       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]);
2396       PetscSynchronizedFlush(A->comm);
2397       */
2398     }
2399   }
2400 
2401   /* receive values */
2402   if (rank){
2403     rvalues = work;
2404     count   = rowners_bs[rank+1]-rowners_bs[rank];
2405     for (source=0; source<rank; source++){
2406       ierr = MPI_Recv(rvalues,count,MPIU_REAL,MPI_ANY_SOURCE,MPI_ANY_TAG,A->comm,&stat);CHKERRQ(ierr);
2407       /* process values */
2408       for (i=0; i<count; i++){
2409         if (PetscRealPart(va[i]) < rvalues[i]) va[i] = rvalues[i];
2410       }
2411       /*
2412       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]);
2413       PetscSynchronizedFlush(A->comm);
2414       */
2415     }
2416   }
2417 
2418   ierr = VecRestoreArray(v,&va);CHKERRQ(ierr);
2419   ierr = PetscFree(work);CHKERRQ(ierr);
2420   PetscFunctionReturn(0);
2421 }
2422 
2423 #undef __FUNCT__
2424 #define __FUNCT__ "MatRelax_MPISBAIJ"
2425 int MatRelax_MPISBAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,int its,int lits,Vec xx)
2426 {
2427   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
2428   int            ierr,mbs=mat->mbs,bs=mat->bs;
2429   PetscScalar    mone=-1.0,*x,*b,*ptr,zero=0.0;
2430   Vec            bb1;
2431 
2432   PetscFunctionBegin;
2433   if (its <= 0 || lits <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %d and local its %d both positive",its,lits);
2434   if (bs > 1)
2435     SETERRQ(PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2436 
2437   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP){
2438     if ( flag & SOR_ZERO_INITIAL_GUESS ) {
2439       ierr = (*mat->A->ops->relax)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2440       its--;
2441     }
2442 
2443     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2444     while (its--){
2445 
2446       /* lower triangular part: slvec0b = - B^T*xx */
2447       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2448 
2449       /* copy xx into slvec0a */
2450       ierr = VecGetArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2451       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2452       ierr = PetscMemcpy(ptr,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2453       ierr = VecRestoreArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2454 
2455       ierr = VecScale(&mone,mat->slvec0);CHKERRQ(ierr);
2456 
2457       /* copy bb into slvec1a */
2458       ierr = VecGetArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2459       ierr = VecGetArray(bb,&b);CHKERRQ(ierr);
2460       ierr = PetscMemcpy(ptr,b,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2461       ierr = VecRestoreArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2462 
2463       /* set slvec1b = 0 */
2464       ierr = VecSet(&zero,mat->slvec1b);CHKERRQ(ierr);
2465 
2466       ierr = VecScatterBegin(mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD,mat->sMvctx);CHKERRQ(ierr);
2467       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2468       ierr = VecRestoreArray(bb,&b);CHKERRQ(ierr);
2469       ierr = VecScatterEnd(mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD,mat->sMvctx);CHKERRQ(ierr);
2470 
2471       /* upper triangular part: bb1 = bb1 - B*x */
2472       ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,bb1);CHKERRQ(ierr);
2473 
2474       /* local diagonal sweep */
2475       ierr = (*mat->A->ops->relax)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
2476     }
2477     ierr = VecDestroy(bb1);CHKERRQ(ierr);
2478   } else {
2479     SETERRQ(PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
2480   }
2481   PetscFunctionReturn(0);
2482 }
2483 
2484 #undef __FUNCT__
2485 #define __FUNCT__ "MatRelax_MPISBAIJ_2comm"
2486 int MatRelax_MPISBAIJ_2comm(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,int its,int lits,Vec xx)
2487 {
2488   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
2489   int            ierr;
2490   PetscScalar    mone=-1.0;
2491   Vec            lvec1,bb1;
2492 
2493   PetscFunctionBegin;
2494   if (its <= 0 || lits <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %d and local its %d both positive",its,lits);
2495   if (mat->bs > 1)
2496     SETERRQ(PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2497 
2498   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP){
2499     if ( flag & SOR_ZERO_INITIAL_GUESS ) {
2500       ierr = (*mat->A->ops->relax)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2501       its--;
2502     }
2503 
2504     ierr = VecDuplicate(mat->lvec,&lvec1);CHKERRQ(ierr);
2505     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2506     while (its--){
2507       ierr = VecScatterBegin(xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD,mat->Mvctx);CHKERRQ(ierr);
2508 
2509       /* lower diagonal part: bb1 = bb - B^T*xx */
2510       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,lvec1);CHKERRQ(ierr);
2511       ierr = VecScale(&mone,lvec1);CHKERRQ(ierr);
2512 
2513       ierr = VecScatterEnd(xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD,mat->Mvctx);CHKERRQ(ierr);
2514       ierr = VecCopy(bb,bb1);CHKERRQ(ierr);
2515       ierr = VecScatterBegin(lvec1,bb1,ADD_VALUES,SCATTER_REVERSE,mat->Mvctx);CHKERRQ(ierr);
2516 
2517       /* upper diagonal part: bb1 = bb1 - B*x */
2518       ierr = VecScale(&mone,mat->lvec);CHKERRQ(ierr);
2519       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb1,bb1);CHKERRQ(ierr);
2520 
2521       ierr = VecScatterEnd(lvec1,bb1,ADD_VALUES,SCATTER_REVERSE,mat->Mvctx);CHKERRQ(ierr);
2522 
2523       /* diagonal sweep */
2524       ierr = (*mat->A->ops->relax)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
2525     }
2526     ierr = VecDestroy(lvec1);CHKERRQ(ierr);
2527     ierr = VecDestroy(bb1);CHKERRQ(ierr);
2528   } else {
2529     SETERRQ(PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
2530   }
2531   PetscFunctionReturn(0);
2532 }
2533 
2534