xref: /petsc/src/mat/impls/sbaij/mpi/mpisbaij.c (revision a4efd8ea4bb0600a5aef92b2c23cbfa314827193)
1 #define PETSCMAT_DLL
2 
3 #include "src/mat/impls/baij/mpi/mpibaij.h"    /*I "petscmat.h" I*/
4 #include "mpisbaij.h"
5 #include "src/mat/impls/sbaij/seq/sbaij.h"
6 
7 EXTERN PetscErrorCode MatSetUpMultiply_MPISBAIJ(Mat);
8 EXTERN PetscErrorCode MatSetUpMultiply_MPISBAIJ_2comm(Mat);
9 EXTERN PetscErrorCode DisAssemble_MPISBAIJ(Mat);
10 EXTERN PetscErrorCode MatIncreaseOverlap_MPISBAIJ(Mat,PetscInt,IS[],PetscInt);
11 EXTERN PetscErrorCode MatGetValues_SeqSBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar []);
12 EXTERN PetscErrorCode MatGetValues_SeqBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar []);
13 EXTERN PetscErrorCode MatSetValues_SeqSBAIJ(Mat,PetscInt,const PetscInt [],PetscInt,const PetscInt [],const PetscScalar [],InsertMode);
14 EXTERN PetscErrorCode MatSetValuesBlocked_SeqSBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
15 EXTERN PetscErrorCode MatSetValuesBlocked_SeqBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
16 EXTERN PetscErrorCode MatGetRow_SeqSBAIJ(Mat,PetscInt,PetscInt*,PetscInt**,PetscScalar**);
17 EXTERN PetscErrorCode MatRestoreRow_SeqSBAIJ(Mat,PetscInt,PetscInt*,PetscInt**,PetscScalar**);
18 EXTERN PetscErrorCode MatZeroRows_SeqSBAIJ(Mat,IS,PetscScalar*);
19 EXTERN PetscErrorCode MatZeroRows_SeqBAIJ(Mat,IS,PetscScalar *);
20 EXTERN PetscErrorCode MatGetRowMaxAbs_MPISBAIJ(Mat,Vec,PetscInt[]);
21 EXTERN PetscErrorCode MatRelax_MPISBAIJ(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
22 
23 EXTERN_C_BEGIN
24 #undef __FUNCT__
25 #define __FUNCT__ "MatStoreValues_MPISBAIJ"
26 PetscErrorCode PETSCMAT_DLLEXPORT MatStoreValues_MPISBAIJ(Mat mat)
27 {
28   Mat_MPISBAIJ   *aij = (Mat_MPISBAIJ *)mat->data;
29   PetscErrorCode ierr;
30 
31   PetscFunctionBegin;
32   ierr = MatStoreValues(aij->A);CHKERRQ(ierr);
33   ierr = MatStoreValues(aij->B);CHKERRQ(ierr);
34   PetscFunctionReturn(0);
35 }
36 EXTERN_C_END
37 
38 EXTERN_C_BEGIN
39 #undef __FUNCT__
40 #define __FUNCT__ "MatRetrieveValues_MPISBAIJ"
41 PetscErrorCode PETSCMAT_DLLEXPORT MatRetrieveValues_MPISBAIJ(Mat mat)
42 {
43   Mat_MPISBAIJ   *aij = (Mat_MPISBAIJ *)mat->data;
44   PetscErrorCode ierr;
45 
46   PetscFunctionBegin;
47   ierr = MatRetrieveValues(aij->A);CHKERRQ(ierr);
48   ierr = MatRetrieveValues(aij->B);CHKERRQ(ierr);
49   PetscFunctionReturn(0);
50 }
51 EXTERN_C_END
52 
53 
54 #define CHUNKSIZE  10
55 
56 #define  MatSetValues_SeqSBAIJ_A_Private(row,col,value,addv) \
57 { \
58  \
59     brow = row/bs;  \
60     rp   = aj + ai[brow]; ap = aa + bs2*ai[brow]; \
61     rmax = aimax[brow]; nrow = ailen[brow]; \
62       bcol = col/bs; \
63       ridx = row % bs; cidx = col % bs; \
64       low = 0; high = nrow; \
65       while (high-low > 3) { \
66         t = (low+high)/2; \
67         if (rp[t] > bcol) high = t; \
68         else              low  = t; \
69       } \
70       for (_i=low; _i<high; _i++) { \
71         if (rp[_i] > bcol) break; \
72         if (rp[_i] == bcol) { \
73           bap  = ap +  bs2*_i + bs*cidx + ridx; \
74           if (addv == ADD_VALUES) *bap += value;  \
75           else                    *bap  = value;  \
76           goto a_noinsert; \
77         } \
78       } \
79       if (a->nonew == 1) goto a_noinsert; \
80       if (a->nonew == -1) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", row, col); \
81       MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,aimax,a->nonew,MatScalar); \
82       N = nrow++ - 1;  \
83       /* shift up all the later entries in this row */ \
84       for (ii=N; ii>=_i; ii--) { \
85         rp[ii+1] = rp[ii]; \
86         ierr = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
87       } \
88       if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr); }  \
89       rp[_i]                      = bcol;  \
90       ap[bs2*_i + bs*cidx + ridx] = value;  \
91       a_noinsert:; \
92     ailen[brow] = nrow; \
93 }
94 
95 #define  MatSetValues_SeqSBAIJ_B_Private(row,col,value,addv) \
96 { \
97     brow = row/bs;  \
98     rp   = bj + bi[brow]; ap = ba + bs2*bi[brow]; \
99     rmax = bimax[brow]; nrow = bilen[brow]; \
100       bcol = col/bs; \
101       ridx = row % bs; cidx = col % bs; \
102       low = 0; high = nrow; \
103       while (high-low > 3) { \
104         t = (low+high)/2; \
105         if (rp[t] > bcol) high = t; \
106         else              low  = t; \
107       } \
108       for (_i=low; _i<high; _i++) { \
109         if (rp[_i] > bcol) break; \
110         if (rp[_i] == bcol) { \
111           bap  = ap +  bs2*_i + bs*cidx + ridx; \
112           if (addv == ADD_VALUES) *bap += value;  \
113           else                    *bap  = value;  \
114           goto b_noinsert; \
115         } \
116       } \
117       if (b->nonew == 1) goto b_noinsert; \
118       if (b->nonew == -1) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", row, col); \
119       MatSeqXAIJReallocateAIJ(B,b->mbs,bs2,nrow,brow,bcol,rmax,ba,bi,bj,rp,ap,bimax,b->nonew,MatScalar); \
120       N = nrow++ - 1;  \
121       /* shift up all the later entries in this row */ \
122       for (ii=N; ii>=_i; ii--) { \
123         rp[ii+1] = rp[ii]; \
124         ierr = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
125       } \
126       if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr);}  \
127       rp[_i]                      = bcol;  \
128       ap[bs2*_i + bs*cidx + ridx] = value;  \
129       b_noinsert:; \
130     bilen[brow] = nrow; \
131 }
132 
133 /* Only add/insert a(i,j) with i<=j (blocks).
134    Any a(i,j) with i>j input by user is ingored.
135 */
136 #undef __FUNCT__
137 #define __FUNCT__ "MatSetValues_MPISBAIJ"
138 PetscErrorCode MatSetValues_MPISBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
139 {
140   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
141   MatScalar      value;
142   PetscTruth     roworiented = baij->roworiented;
143   PetscErrorCode ierr;
144   PetscInt       i,j,row,col;
145   PetscInt       rstart_orig=mat->rmap->rstart;
146   PetscInt       rend_orig=mat->rmap->rend,cstart_orig=mat->cmap->rstart;
147   PetscInt       cend_orig=mat->cmap->rend,bs=mat->rmap->bs;
148 
149   /* Some Variables required in the macro */
150   Mat            A = baij->A;
151   Mat_SeqSBAIJ   *a = (Mat_SeqSBAIJ*)(A)->data;
152   PetscInt       *aimax=a->imax,*ai=a->i,*ailen=a->ilen,*aj=a->j;
153   MatScalar      *aa=a->a;
154 
155   Mat            B = baij->B;
156   Mat_SeqBAIJ   *b = (Mat_SeqBAIJ*)(B)->data;
157   PetscInt      *bimax=b->imax,*bi=b->i,*bilen=b->ilen,*bj=b->j;
158   MatScalar     *ba=b->a;
159 
160   PetscInt      *rp,ii,nrow,_i,rmax,N,brow,bcol;
161   PetscInt      low,high,t,ridx,cidx,bs2=a->bs2;
162   MatScalar     *ap,*bap;
163 
164   /* for stash */
165   PetscInt      n_loc, *in_loc = PETSC_NULL;
166   MatScalar     *v_loc = PETSC_NULL;
167 
168   PetscFunctionBegin;
169 
170   if (!baij->donotstash){
171     if (n > baij->n_loc) {
172       ierr = PetscFree(baij->in_loc);CHKERRQ(ierr);
173       ierr = PetscFree(baij->v_loc);CHKERRQ(ierr);
174       ierr = PetscMalloc(n*sizeof(PetscInt),&baij->in_loc);CHKERRQ(ierr);
175       ierr = PetscMalloc(n*sizeof(MatScalar),&baij->v_loc);CHKERRQ(ierr);
176       baij->n_loc = n;
177     }
178     in_loc = baij->in_loc;
179     v_loc  = baij->v_loc;
180   }
181 
182   for (i=0; i<m; i++) {
183     if (im[i] < 0) continue;
184 #if defined(PETSC_USE_DEBUG)
185     if (im[i] >= mat->rmap->N) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",im[i],mat->rmap->N-1);
186 #endif
187     if (im[i] >= rstart_orig && im[i] < rend_orig) { /* this processor entry */
188       row = im[i] - rstart_orig;              /* local row index */
189       for (j=0; j<n; j++) {
190         if (im[i]/bs > in[j]/bs){
191           if (a->ignore_ltriangular){
192             continue;    /* ignore lower triangular blocks */
193           } else {
194             SETERRQ(PETSC_ERR_USER,"Lower triangular value cannot be set for sbaij format. Ignoring these values, run with -mat_ignore_lower_triangular or call MatSetOption(mat,MAT_IGNORE_LOWER_TRIANGULAR,PETSC_TRUE)");
195           }
196         }
197         if (in[j] >= cstart_orig && in[j] < cend_orig){  /* diag entry (A) */
198           col = in[j] - cstart_orig;          /* local col index */
199           brow = row/bs; bcol = col/bs;
200           if (brow > bcol) continue;  /* ignore lower triangular blocks of A */
201           if (roworiented) value = v[i*n+j]; else value = v[i+j*m];
202           MatSetValues_SeqSBAIJ_A_Private(row,col,value,addv);
203           /* ierr = MatSetValues_SeqBAIJ(baij->A,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
204         } else if (in[j] < 0) continue;
205 #if defined(PETSC_USE_DEBUG)
206         else if (in[j] >= mat->cmap->N) {SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[j],mat->cmap->N-1);}
207 #endif
208         else {  /* off-diag entry (B) */
209           if (mat->was_assembled) {
210             if (!baij->colmap) {
211               ierr = CreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
212             }
213 #if defined (PETSC_USE_CTABLE)
214             ierr = PetscTableFind(baij->colmap,in[j]/bs + 1,&col);CHKERRQ(ierr);
215             col  = col - 1;
216 #else
217             col = baij->colmap[in[j]/bs] - 1;
218 #endif
219             if (col < 0 && !((Mat_SeqSBAIJ*)(baij->A->data))->nonew) {
220               ierr = DisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
221               col =  in[j];
222               /* Reinitialize the variables required by MatSetValues_SeqBAIJ_B_Private() */
223               B = baij->B;
224               b = (Mat_SeqBAIJ*)(B)->data;
225               bimax=b->imax;bi=b->i;bilen=b->ilen;bj=b->j;
226               ba=b->a;
227             } else col += in[j]%bs;
228           } else col = in[j];
229           if (roworiented) value = v[i*n+j]; else value = v[i+j*m];
230           MatSetValues_SeqSBAIJ_B_Private(row,col,value,addv);
231           /* ierr = MatSetValues_SeqBAIJ(baij->B,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
232         }
233       }
234     } else {  /* off processor entry */
235       if (!baij->donotstash) {
236         n_loc = 0;
237         for (j=0; j<n; j++){
238           if (im[i]/bs > in[j]/bs) continue; /* ignore lower triangular blocks */
239           in_loc[n_loc] = in[j];
240           if (roworiented) {
241             v_loc[n_loc] = v[i*n+j];
242           } else {
243             v_loc[n_loc] = v[j*m+i];
244           }
245           n_loc++;
246         }
247         ierr = MatStashValuesRow_Private(&mat->stash,im[i],n_loc,in_loc,v_loc);CHKERRQ(ierr);
248       }
249     }
250   }
251   PetscFunctionReturn(0);
252 }
253 
254 #undef __FUNCT__
255 #define __FUNCT__ "MatSetValuesBlocked_MPISBAIJ"
256 PetscErrorCode MatSetValuesBlocked_MPISBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const MatScalar v[],InsertMode addv)
257 {
258   Mat_MPISBAIJ    *baij = (Mat_MPISBAIJ*)mat->data;
259   const MatScalar *value;
260   MatScalar       *barray=baij->barray;
261   PetscTruth      roworiented = baij->roworiented;
262   PetscErrorCode  ierr;
263   PetscInt        i,j,ii,jj,row,col,rstart=baij->rstartbs;
264   PetscInt        rend=baij->rendbs,cstart=baij->rstartbs,stepval;
265   PetscInt        cend=baij->rendbs,bs=mat->rmap->bs,bs2=baij->bs2;
266 
267   PetscFunctionBegin;
268   if(!barray) {
269     ierr         = PetscMalloc(bs2*sizeof(MatScalar),&barray);CHKERRQ(ierr);
270     baij->barray = barray;
271   }
272 
273   if (roworiented) {
274     stepval = (n-1)*bs;
275   } else {
276     stepval = (m-1)*bs;
277   }
278   for (i=0; i<m; i++) {
279     if (im[i] < 0) continue;
280 #if defined(PETSC_USE_DEBUG)
281     if (im[i] >= baij->Mbs) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large, row %D max %D",im[i],baij->Mbs-1);
282 #endif
283     if (im[i] >= rstart && im[i] < rend) {
284       row = im[i] - rstart;
285       for (j=0; j<n; j++) {
286         /* If NumCol = 1 then a copy is not required */
287         if ((roworiented) && (n == 1)) {
288           barray = (MatScalar*) v + i*bs2;
289         } else if((!roworiented) && (m == 1)) {
290           barray = (MatScalar*) v + j*bs2;
291         } else { /* Here a copy is required */
292           if (roworiented) {
293             value = v + i*(stepval+bs)*bs + j*bs;
294           } else {
295             value = v + j*(stepval+bs)*bs + i*bs;
296           }
297           for (ii=0; ii<bs; ii++,value+=stepval) {
298             for (jj=0; jj<bs; jj++) {
299               *barray++  = *value++;
300             }
301           }
302           barray -=bs2;
303         }
304 
305         if (in[j] >= cstart && in[j] < cend){
306           col  = in[j] - cstart;
307           ierr = MatSetValuesBlocked_SeqSBAIJ(baij->A,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
308         }
309         else if (in[j] < 0) continue;
310 #if defined(PETSC_USE_DEBUG)
311         else if (in[j] >= baij->Nbs) {SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large, col %D max %D",in[j],baij->Nbs-1);}
312 #endif
313         else {
314           if (mat->was_assembled) {
315             if (!baij->colmap) {
316               ierr = CreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
317             }
318 
319 #if defined(PETSC_USE_DEBUG)
320 #if defined (PETSC_USE_CTABLE)
321             { PetscInt data;
322               ierr = PetscTableFind(baij->colmap,in[j]+1,&data);CHKERRQ(ierr);
323               if ((data - 1) % bs) SETERRQ(PETSC_ERR_PLIB,"Incorrect colmap");
324             }
325 #else
326             if ((baij->colmap[in[j]] - 1) % bs) SETERRQ(PETSC_ERR_PLIB,"Incorrect colmap");
327 #endif
328 #endif
329 #if defined (PETSC_USE_CTABLE)
330 	    ierr = PetscTableFind(baij->colmap,in[j]+1,&col);CHKERRQ(ierr);
331             col  = (col - 1)/bs;
332 #else
333             col = (baij->colmap[in[j]] - 1)/bs;
334 #endif
335             if (col < 0 && !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
336               ierr = DisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
337               col =  in[j];
338             }
339           }
340           else col = in[j];
341           ierr = MatSetValuesBlocked_SeqBAIJ(baij->B,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
342         }
343       }
344     } else {
345       if (!baij->donotstash) {
346         if (roworiented) {
347           ierr = MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
348         } else {
349           ierr = MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
350         }
351       }
352     }
353   }
354   PetscFunctionReturn(0);
355 }
356 
357 #undef __FUNCT__
358 #define __FUNCT__ "MatGetValues_MPISBAIJ"
359 PetscErrorCode MatGetValues_MPISBAIJ(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],PetscScalar v[])
360 {
361   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
362   PetscErrorCode ierr;
363   PetscInt       bs=mat->rmap->bs,i,j,bsrstart = mat->rmap->rstart,bsrend = mat->rmap->rend;
364   PetscInt       bscstart = mat->cmap->rstart,bscend = mat->cmap->rend,row,col,data;
365 
366   PetscFunctionBegin;
367   for (i=0; i<m; i++) {
368     if (idxm[i] < 0) continue; /* SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",idxm[i]); */
369     if (idxm[i] >= mat->rmap->N) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",idxm[i],mat->rmap->N-1);
370     if (idxm[i] >= bsrstart && idxm[i] < bsrend) {
371       row = idxm[i] - bsrstart;
372       for (j=0; j<n; j++) {
373         if (idxn[j] < 0) continue; /* SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Negative column %D",idxn[j]); */
374         if (idxn[j] >= mat->cmap->N) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",idxn[j],mat->cmap->N-1);
375         if (idxn[j] >= bscstart && idxn[j] < bscend){
376           col = idxn[j] - bscstart;
377           ierr = MatGetValues_SeqSBAIJ(baij->A,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
378         } else {
379           if (!baij->colmap) {
380             ierr = CreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
381           }
382 #if defined (PETSC_USE_CTABLE)
383           ierr = PetscTableFind(baij->colmap,idxn[j]/bs+1,&data);CHKERRQ(ierr);
384           data --;
385 #else
386           data = baij->colmap[idxn[j]/bs]-1;
387 #endif
388           if((data < 0) || (baij->garray[data/bs] != idxn[j]/bs)) *(v+i*n+j) = 0.0;
389           else {
390             col  = data + idxn[j]%bs;
391             ierr = MatGetValues_SeqBAIJ(baij->B,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
392           }
393         }
394       }
395     } else {
396       SETERRQ(PETSC_ERR_SUP,"Only local values currently supported");
397     }
398   }
399  PetscFunctionReturn(0);
400 }
401 
402 #undef __FUNCT__
403 #define __FUNCT__ "MatNorm_MPISBAIJ"
404 PetscErrorCode MatNorm_MPISBAIJ(Mat mat,NormType type,PetscReal *norm)
405 {
406   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
407   PetscErrorCode ierr;
408   PetscReal      sum[2],*lnorm2;
409 
410   PetscFunctionBegin;
411   if (baij->size == 1) {
412     ierr =  MatNorm(baij->A,type,norm);CHKERRQ(ierr);
413   } else {
414     if (type == NORM_FROBENIUS) {
415       ierr = PetscMalloc(2*sizeof(PetscReal),&lnorm2);CHKERRQ(ierr);
416       ierr =  MatNorm(baij->A,type,lnorm2);CHKERRQ(ierr);
417       *lnorm2 = (*lnorm2)*(*lnorm2); lnorm2++;            /* squar power of norm(A) */
418       ierr =  MatNorm(baij->B,type,lnorm2);CHKERRQ(ierr);
419       *lnorm2 = (*lnorm2)*(*lnorm2); lnorm2--;             /* squar power of norm(B) */
420       ierr = MPI_Allreduce(lnorm2,&sum,2,MPIU_REAL,MPI_SUM,((PetscObject)mat)->comm);CHKERRQ(ierr);
421       *norm = sqrt(sum[0] + 2*sum[1]);
422       ierr = PetscFree(lnorm2);CHKERRQ(ierr);
423     } else if (type == NORM_INFINITY || type == NORM_1) { /* max row/column sum */
424       Mat_SeqSBAIJ *amat=(Mat_SeqSBAIJ*)baij->A->data;
425       Mat_SeqBAIJ  *bmat=(Mat_SeqBAIJ*)baij->B->data;
426       PetscReal    *rsum,*rsum2,vabs;
427       PetscInt     *jj,*garray=baij->garray,rstart=baij->rstartbs,nz;
428       PetscInt     brow,bcol,col,bs=baij->A->rmap->bs,row,grow,gcol,mbs=amat->mbs;
429       MatScalar    *v;
430 
431       ierr  = PetscMalloc((2*mat->cmap->N+1)*sizeof(PetscReal),&rsum);CHKERRQ(ierr);
432       rsum2 = rsum + mat->cmap->N;
433       ierr  = PetscMemzero(rsum,mat->cmap->N*sizeof(PetscReal));CHKERRQ(ierr);
434       /* Amat */
435       v = amat->a; jj = amat->j;
436       for (brow=0; brow<mbs; brow++) {
437         grow = bs*(rstart + brow);
438         nz = amat->i[brow+1] - amat->i[brow];
439         for (bcol=0; bcol<nz; bcol++){
440           gcol = bs*(rstart + *jj); jj++;
441           for (col=0; col<bs; col++){
442             for (row=0; row<bs; row++){
443               vabs = PetscAbsScalar(*v); v++;
444               rsum[gcol+col] += vabs;
445               /* non-diagonal block */
446               if (bcol > 0 && vabs > 0.0) rsum[grow+row] += vabs;
447             }
448           }
449         }
450       }
451       /* Bmat */
452       v = bmat->a; jj = bmat->j;
453       for (brow=0; brow<mbs; brow++) {
454         grow = bs*(rstart + brow);
455         nz = bmat->i[brow+1] - bmat->i[brow];
456         for (bcol=0; bcol<nz; bcol++){
457           gcol = bs*garray[*jj]; jj++;
458           for (col=0; col<bs; col++){
459             for (row=0; row<bs; row++){
460               vabs = PetscAbsScalar(*v); v++;
461               rsum[gcol+col] += vabs;
462               rsum[grow+row] += vabs;
463             }
464           }
465         }
466       }
467       ierr = MPI_Allreduce(rsum,rsum2,mat->cmap->N,MPIU_REAL,MPI_SUM,((PetscObject)mat)->comm);CHKERRQ(ierr);
468       *norm = 0.0;
469       for (col=0; col<mat->cmap->N; col++) {
470         if (rsum2[col] > *norm) *norm = rsum2[col];
471       }
472       ierr = PetscFree(rsum);CHKERRQ(ierr);
473     } else {
474       SETERRQ(PETSC_ERR_SUP,"No support for this norm yet");
475     }
476   }
477   PetscFunctionReturn(0);
478 }
479 
480 #undef __FUNCT__
481 #define __FUNCT__ "MatAssemblyBegin_MPISBAIJ"
482 PetscErrorCode MatAssemblyBegin_MPISBAIJ(Mat mat,MatAssemblyType mode)
483 {
484   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
485   PetscErrorCode ierr;
486   PetscInt       nstash,reallocs;
487   InsertMode     addv;
488 
489   PetscFunctionBegin;
490   if (baij->donotstash) {
491     PetscFunctionReturn(0);
492   }
493 
494   /* make sure all processors are either in INSERTMODE or ADDMODE */
495   ierr = MPI_Allreduce(&mat->insertmode,&addv,1,MPI_INT,MPI_BOR,((PetscObject)mat)->comm);CHKERRQ(ierr);
496   if (addv == (ADD_VALUES|INSERT_VALUES)) {
497     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Some processors inserted others added");
498   }
499   mat->insertmode = addv; /* in case this processor had no cache */
500 
501   ierr = MatStashScatterBegin_Private(mat,&mat->stash,mat->rmap->range);CHKERRQ(ierr);
502   ierr = MatStashScatterBegin_Private(mat,&mat->bstash,baij->rangebs);CHKERRQ(ierr);
503   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
504   ierr = PetscInfo2(mat,"Stash has %D entries,uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
505   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
506   ierr = PetscInfo2(mat,"Block-Stash has %D entries, uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
507   PetscFunctionReturn(0);
508 }
509 
510 #undef __FUNCT__
511 #define __FUNCT__ "MatAssemblyEnd_MPISBAIJ"
512 PetscErrorCode MatAssemblyEnd_MPISBAIJ(Mat mat,MatAssemblyType mode)
513 {
514   Mat_MPISBAIJ   *baij=(Mat_MPISBAIJ*)mat->data;
515   Mat_SeqSBAIJ   *a=(Mat_SeqSBAIJ*)baij->A->data;
516   PetscErrorCode ierr;
517   PetscInt       i,j,rstart,ncols,flg,bs2=baij->bs2;
518   PetscInt       *row,*col;
519   PetscTruth     other_disassembled;
520   PetscMPIInt    n;
521   PetscTruth     r1,r2,r3;
522   MatScalar      *val;
523   InsertMode     addv = mat->insertmode;
524 
525   /* do not use 'b=(Mat_SeqBAIJ*)baij->B->data' as B can be reset in disassembly */
526   PetscFunctionBegin;
527 
528   if (!baij->donotstash) {
529     while (1) {
530       ierr = MatStashScatterGetMesg_Private(&mat->stash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
531       if (!flg) break;
532 
533       for (i=0; i<n;) {
534         /* Now identify the consecutive vals belonging to the same row */
535         for (j=i,rstart=row[j]; j<n; j++) { if (row[j] != rstart) break; }
536         if (j < n) ncols = j-i;
537         else       ncols = n-i;
538         /* Now assemble all these values with a single function call */
539         ierr = MatSetValues_MPISBAIJ(mat,1,row+i,ncols,col+i,val+i,addv);CHKERRQ(ierr);
540         i = j;
541       }
542     }
543     ierr = MatStashScatterEnd_Private(&mat->stash);CHKERRQ(ierr);
544     /* Now process the block-stash. Since the values are stashed column-oriented,
545        set the roworiented flag to column oriented, and after MatSetValues()
546        restore the original flags */
547     r1 = baij->roworiented;
548     r2 = a->roworiented;
549     r3 = ((Mat_SeqBAIJ*)baij->B->data)->roworiented;
550     baij->roworiented = PETSC_FALSE;
551     a->roworiented    = PETSC_FALSE;
552     ((Mat_SeqBAIJ*)baij->B->data)->roworiented    = PETSC_FALSE; /* b->roworinted */
553     while (1) {
554       ierr = MatStashScatterGetMesg_Private(&mat->bstash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
555       if (!flg) break;
556 
557       for (i=0; i<n;) {
558         /* Now identify the consecutive vals belonging to the same row */
559         for (j=i,rstart=row[j]; j<n; j++) { if (row[j] != rstart) break; }
560         if (j < n) ncols = j-i;
561         else       ncols = n-i;
562         ierr = MatSetValuesBlocked_MPISBAIJ(mat,1,row+i,ncols,col+i,val+i*bs2,addv);CHKERRQ(ierr);
563         i = j;
564       }
565     }
566     ierr = MatStashScatterEnd_Private(&mat->bstash);CHKERRQ(ierr);
567     baij->roworiented = r1;
568     a->roworiented    = r2;
569     ((Mat_SeqBAIJ*)baij->B->data)->roworiented    = r3; /* b->roworinted */
570   }
571 
572   ierr = MatAssemblyBegin(baij->A,mode);CHKERRQ(ierr);
573   ierr = MatAssemblyEnd(baij->A,mode);CHKERRQ(ierr);
574 
575   /* determine if any processor has disassembled, if so we must
576      also disassemble ourselfs, in order that we may reassemble. */
577   /*
578      if nonzero structure of submatrix B cannot change then we know that
579      no processor disassembled thus we can skip this stuff
580   */
581   if (!((Mat_SeqBAIJ*)baij->B->data)->nonew)  {
582     ierr = MPI_Allreduce(&mat->was_assembled,&other_disassembled,1,MPI_INT,MPI_PROD,((PetscObject)mat)->comm);CHKERRQ(ierr);
583     if (mat->was_assembled && !other_disassembled) {
584       ierr = DisAssemble_MPISBAIJ(mat);CHKERRQ(ierr);
585     }
586   }
587 
588   if (!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) {
589     ierr = MatSetUpMultiply_MPISBAIJ(mat);CHKERRQ(ierr); /* setup Mvctx and sMvctx */
590   }
591   ((Mat_SeqBAIJ*)baij->B->data)->compressedrow.use = PETSC_TRUE; /* b->compressedrow.use */
592   ierr = MatAssemblyBegin(baij->B,mode);CHKERRQ(ierr);
593   ierr = MatAssemblyEnd(baij->B,mode);CHKERRQ(ierr);
594 
595   ierr = PetscFree(baij->rowvalues);CHKERRQ(ierr);
596   baij->rowvalues = 0;
597 
598   PetscFunctionReturn(0);
599 }
600 
601 extern PetscErrorCode MatSetValues_MPIBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
602 #undef __FUNCT__
603 #define __FUNCT__ "MatView_MPISBAIJ_ASCIIorDraworSocket"
604 static PetscErrorCode MatView_MPISBAIJ_ASCIIorDraworSocket(Mat mat,PetscViewer viewer)
605 {
606   Mat_MPISBAIJ      *baij = (Mat_MPISBAIJ*)mat->data;
607   PetscErrorCode    ierr;
608   PetscInt          bs = mat->rmap->bs;
609   PetscMPIInt       size = baij->size,rank = baij->rank;
610   PetscTruth        iascii,isdraw;
611   PetscViewer       sviewer;
612   PetscViewerFormat format;
613 
614   PetscFunctionBegin;
615   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&iascii);CHKERRQ(ierr);
616   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_DRAW,&isdraw);CHKERRQ(ierr);
617   if (iascii) {
618     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
619     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
620       MatInfo info;
621       ierr = MPI_Comm_rank(((PetscObject)mat)->comm,&rank);CHKERRQ(ierr);
622       ierr = MatGetInfo(mat,MAT_LOCAL,&info);CHKERRQ(ierr);
623       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] Local rows %D nz %D nz alloced %D bs %D mem %D\n",
624               rank,mat->rmap->N,(PetscInt)info.nz_used*bs,(PetscInt)info.nz_allocated*bs,
625               mat->rmap->bs,(PetscInt)info.memory);CHKERRQ(ierr);
626       ierr = MatGetInfo(baij->A,MAT_LOCAL,&info);CHKERRQ(ierr);
627       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] on-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used*bs);CHKERRQ(ierr);
628       ierr = MatGetInfo(baij->B,MAT_LOCAL,&info);CHKERRQ(ierr);
629       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] off-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used*bs);CHKERRQ(ierr);
630       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
631       ierr = PetscViewerASCIIPrintf(viewer,"Information on VecScatter used in matrix-vector product: \n");CHKERRQ(ierr);
632       ierr = VecScatterView(baij->Mvctx,viewer);CHKERRQ(ierr);
633       PetscFunctionReturn(0);
634     } else if (format == PETSC_VIEWER_ASCII_INFO) {
635       ierr = PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);CHKERRQ(ierr);
636       PetscFunctionReturn(0);
637     } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
638       PetscFunctionReturn(0);
639     }
640   }
641 
642   if (isdraw) {
643     PetscDraw  draw;
644     PetscTruth isnull;
645     ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
646     ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
647   }
648 
649   if (size == 1) {
650     ierr = PetscObjectSetName((PetscObject)baij->A,((PetscObject)mat)->name);CHKERRQ(ierr);
651     ierr = MatView(baij->A,viewer);CHKERRQ(ierr);
652   } else {
653     /* assemble the entire matrix onto first processor. */
654     Mat          A;
655     Mat_SeqSBAIJ *Aloc;
656     Mat_SeqBAIJ  *Bloc;
657     PetscInt     M = mat->rmap->N,N = mat->cmap->N,*ai,*aj,col,i,j,k,*rvals,mbs = baij->mbs;
658     MatScalar    *a;
659 
660     /* Should this be the same type as mat? */
661     ierr = MatCreate(((PetscObject)mat)->comm,&A);CHKERRQ(ierr);
662     if (!rank) {
663       ierr = MatSetSizes(A,M,N,M,N);CHKERRQ(ierr);
664     } else {
665       ierr = MatSetSizes(A,0,0,M,N);CHKERRQ(ierr);
666     }
667     ierr = MatSetType(A,MATMPISBAIJ);CHKERRQ(ierr);
668     ierr = MatMPISBAIJSetPreallocation(A,mat->rmap->bs,0,PETSC_NULL,0,PETSC_NULL);CHKERRQ(ierr);
669     ierr = PetscLogObjectParent(mat,A);CHKERRQ(ierr);
670 
671     /* copy over the A part */
672     Aloc  = (Mat_SeqSBAIJ*)baij->A->data;
673     ai    = Aloc->i; aj = Aloc->j; a = Aloc->a;
674     ierr  = PetscMalloc(bs*sizeof(PetscInt),&rvals);CHKERRQ(ierr);
675 
676     for (i=0; i<mbs; i++) {
677       rvals[0] = bs*(baij->rstartbs + i);
678       for (j=1; j<bs; j++) { rvals[j] = rvals[j-1] + 1; }
679       for (j=ai[i]; j<ai[i+1]; j++) {
680         col = (baij->cstartbs+aj[j])*bs;
681         for (k=0; k<bs; k++) {
682           ierr = MatSetValues_MPISBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
683           col++; a += bs;
684         }
685       }
686     }
687     /* copy over the B part */
688     Bloc = (Mat_SeqBAIJ*)baij->B->data;
689     ai = Bloc->i; aj = Bloc->j; a = Bloc->a;
690     for (i=0; i<mbs; i++) {
691 
692       rvals[0] = bs*(baij->rstartbs + i);
693       for (j=1; j<bs; j++) { rvals[j] = rvals[j-1] + 1; }
694       for (j=ai[i]; j<ai[i+1]; j++) {
695         col = baij->garray[aj[j]]*bs;
696         for (k=0; k<bs; k++) {
697           ierr = MatSetValues_MPIBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
698           col++; a += bs;
699         }
700       }
701     }
702     ierr = PetscFree(rvals);CHKERRQ(ierr);
703     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
704     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
705     /*
706        Everyone has to call to draw the matrix since the graphics waits are
707        synchronized across all processors that share the PetscDraw object
708     */
709     ierr = PetscViewerGetSingleton(viewer,&sviewer);CHKERRQ(ierr);
710     if (!rank) {
711       ierr = PetscObjectSetName((PetscObject)((Mat_MPISBAIJ*)(A->data))->A,((PetscObject)mat)->name);CHKERRQ(ierr);
712       ierr = MatView(((Mat_MPISBAIJ*)(A->data))->A,sviewer);CHKERRQ(ierr);
713     }
714     ierr = PetscViewerRestoreSingleton(viewer,&sviewer);CHKERRQ(ierr);
715     ierr = MatDestroy(A);CHKERRQ(ierr);
716   }
717   PetscFunctionReturn(0);
718 }
719 
720 #undef __FUNCT__
721 #define __FUNCT__ "MatView_MPISBAIJ"
722 PetscErrorCode MatView_MPISBAIJ(Mat mat,PetscViewer viewer)
723 {
724   PetscErrorCode ierr;
725   PetscTruth     iascii,isdraw,issocket,isbinary;
726 
727   PetscFunctionBegin;
728   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&iascii);CHKERRQ(ierr);
729   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_DRAW,&isdraw);CHKERRQ(ierr);
730   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_SOCKET,&issocket);CHKERRQ(ierr);
731   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_BINARY,&isbinary);CHKERRQ(ierr);
732   if (iascii || isdraw || issocket || isbinary) {
733     ierr = MatView_MPISBAIJ_ASCIIorDraworSocket(mat,viewer);CHKERRQ(ierr);
734   } else {
735     SETERRQ1(PETSC_ERR_SUP,"Viewer type %s not supported by MPISBAIJ matrices",((PetscObject)viewer)->type_name);
736   }
737   PetscFunctionReturn(0);
738 }
739 
740 #undef __FUNCT__
741 #define __FUNCT__ "MatDestroy_MPISBAIJ"
742 PetscErrorCode MatDestroy_MPISBAIJ(Mat mat)
743 {
744   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
745   PetscErrorCode ierr;
746 
747   PetscFunctionBegin;
748 #if defined(PETSC_USE_LOG)
749   PetscLogObjectState((PetscObject)mat,"Rows=%D,Cols=%D",mat->rmap->N,mat->cmap->N);
750 #endif
751   ierr = MatStashDestroy_Private(&mat->stash);CHKERRQ(ierr);
752   ierr = MatStashDestroy_Private(&mat->bstash);CHKERRQ(ierr);
753   ierr = MatDestroy(baij->A);CHKERRQ(ierr);
754   ierr = MatDestroy(baij->B);CHKERRQ(ierr);
755 #if defined (PETSC_USE_CTABLE)
756   if (baij->colmap) {ierr = PetscTableDestroy(baij->colmap);CHKERRQ(ierr);}
757 #else
758   ierr = PetscFree(baij->colmap);CHKERRQ(ierr);
759 #endif
760   ierr = PetscFree(baij->garray);CHKERRQ(ierr);
761   if (baij->lvec)   {ierr = VecDestroy(baij->lvec);CHKERRQ(ierr);}
762   if (baij->Mvctx)  {ierr = VecScatterDestroy(baij->Mvctx);CHKERRQ(ierr);}
763   if (baij->slvec0) {
764     ierr = VecDestroy(baij->slvec0);CHKERRQ(ierr);
765     ierr = VecDestroy(baij->slvec0b);CHKERRQ(ierr);
766   }
767   if (baij->slvec1) {
768     ierr = VecDestroy(baij->slvec1);CHKERRQ(ierr);
769     ierr = VecDestroy(baij->slvec1a);CHKERRQ(ierr);
770     ierr = VecDestroy(baij->slvec1b);CHKERRQ(ierr);
771   }
772   if (baij->sMvctx)  {ierr = VecScatterDestroy(baij->sMvctx);CHKERRQ(ierr);}
773   ierr = PetscFree(baij->rowvalues);CHKERRQ(ierr);
774   ierr = PetscFree(baij->barray);CHKERRQ(ierr);
775   ierr = PetscFree(baij->hd);CHKERRQ(ierr);
776 #if defined(PETSC_USE_MAT_SINGLE)
777   ierr = PetscFree(baij->setvaluescopy);CHKERRQ(ierr);
778 #endif
779   ierr = PetscFree(baij->in_loc);CHKERRQ(ierr);
780   ierr = PetscFree(baij->v_loc);CHKERRQ(ierr);
781   ierr = PetscFree(baij->rangebs);CHKERRQ(ierr);
782   ierr = PetscFree(baij);CHKERRQ(ierr);
783 
784   ierr = PetscObjectChangeTypeName((PetscObject)mat,0);CHKERRQ(ierr);
785   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatStoreValues_C","",PETSC_NULL);CHKERRQ(ierr);
786   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatRetrieveValues_C","",PETSC_NULL);CHKERRQ(ierr);
787   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatGetDiagonalBlock_C","",PETSC_NULL);CHKERRQ(ierr);
788   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatMPISBAIJSetPreallocation_C","",PETSC_NULL);CHKERRQ(ierr);
789   PetscFunctionReturn(0);
790 }
791 
792 #undef __FUNCT__
793 #define __FUNCT__ "MatMult_MPISBAIJ"
794 PetscErrorCode MatMult_MPISBAIJ(Mat A,Vec xx,Vec yy)
795 {
796   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
797   PetscErrorCode ierr;
798   PetscInt       nt,mbs=a->mbs,bs=A->rmap->bs;
799   PetscScalar    *x,*from,zero=0.0;
800 
801   PetscFunctionBegin;
802   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
803   if (nt != A->cmap->n) {
804     SETERRQ(PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
805   }
806 
807   /* diagonal part */
808   ierr = (*a->A->ops->mult)(a->A,xx,a->slvec1a);CHKERRQ(ierr);
809   ierr = VecSet(a->slvec1b,zero);CHKERRQ(ierr);
810 
811   /* subdiagonal part */
812   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
813 
814   /* copy x into the vec slvec0 */
815   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
816   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
817 
818   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
819   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
820   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
821 
822   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
823   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
824   /* supperdiagonal part */
825   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,yy);CHKERRQ(ierr);
826   PetscFunctionReturn(0);
827 }
828 
829 #undef __FUNCT__
830 #define __FUNCT__ "MatMult_MPISBAIJ_2comm"
831 PetscErrorCode MatMult_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy)
832 {
833   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
834   PetscErrorCode ierr;
835   PetscInt       nt;
836 
837   PetscFunctionBegin;
838   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
839   if (nt != A->cmap->n) {
840     SETERRQ(PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
841   }
842   ierr = VecGetLocalSize(yy,&nt);CHKERRQ(ierr);
843   if (nt != A->rmap->N) {
844     SETERRQ(PETSC_ERR_ARG_SIZ,"Incompatible parition of A and yy");
845   }
846 
847   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
848   /* do diagonal part */
849   ierr = (*a->A->ops->mult)(a->A,xx,yy);CHKERRQ(ierr);
850   /* do supperdiagonal part */
851   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
852   ierr = (*a->B->ops->multadd)(a->B,a->lvec,yy,yy);CHKERRQ(ierr);
853   /* do subdiagonal part */
854   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
855   ierr = VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
856   ierr = VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
857 
858   PetscFunctionReturn(0);
859 }
860 
861 #undef __FUNCT__
862 #define __FUNCT__ "MatMultAdd_MPISBAIJ"
863 PetscErrorCode MatMultAdd_MPISBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
864 {
865   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
866   PetscErrorCode ierr;
867   PetscInt       mbs=a->mbs,bs=A->rmap->bs;
868   PetscScalar    *x,*from,zero=0.0;
869 
870   PetscFunctionBegin;
871   /*
872   PetscSynchronizedPrintf(((PetscObject)A)->comm," MatMultAdd is called ...\n");
873   PetscSynchronizedFlush(((PetscObject)A)->comm);
874   */
875   /* diagonal part */
876   ierr = (*a->A->ops->multadd)(a->A,xx,yy,a->slvec1a);CHKERRQ(ierr);
877   ierr = VecSet(a->slvec1b,zero);CHKERRQ(ierr);
878 
879   /* subdiagonal part */
880   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->slvec0b);CHKERRQ(ierr);
881 
882   /* copy x into the vec slvec0 */
883   ierr = VecGetArray(a->slvec0,&from);CHKERRQ(ierr);
884   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
885   ierr = PetscMemcpy(from,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
886   ierr = VecRestoreArray(a->slvec0,&from);CHKERRQ(ierr);
887 
888   ierr = VecScatterBegin(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
889   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
890   ierr = VecScatterEnd(a->sMvctx,a->slvec0,a->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
891 
892   /* supperdiagonal part */
893   ierr = (*a->B->ops->multadd)(a->B,a->slvec1b,a->slvec1a,zz);CHKERRQ(ierr);
894 
895   PetscFunctionReturn(0);
896 }
897 
898 #undef __FUNCT__
899 #define __FUNCT__ "MatMultAdd_MPISBAIJ_2comm"
900 PetscErrorCode MatMultAdd_MPISBAIJ_2comm(Mat A,Vec xx,Vec yy,Vec zz)
901 {
902   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
903   PetscErrorCode ierr;
904 
905   PetscFunctionBegin;
906   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
907   /* do diagonal part */
908   ierr = (*a->A->ops->multadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
909   /* do supperdiagonal part */
910   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
911   ierr = (*a->B->ops->multadd)(a->B,a->lvec,zz,zz);CHKERRQ(ierr);
912 
913   /* do subdiagonal part */
914   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
915   ierr = VecScatterBegin(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
916   ierr = VecScatterEnd(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
917 
918   PetscFunctionReturn(0);
919 }
920 
921 /*
922   This only works correctly for square matrices where the subblock A->A is the
923    diagonal block
924 */
925 #undef __FUNCT__
926 #define __FUNCT__ "MatGetDiagonal_MPISBAIJ"
927 PetscErrorCode MatGetDiagonal_MPISBAIJ(Mat A,Vec v)
928 {
929   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
930   PetscErrorCode ierr;
931 
932   PetscFunctionBegin;
933   /* if (a->rmap->N != a->cmap->N) SETERRQ(PETSC_ERR_SUP,"Supports only square matrix where A->A is diag block"); */
934   ierr = MatGetDiagonal(a->A,v);CHKERRQ(ierr);
935   PetscFunctionReturn(0);
936 }
937 
938 #undef __FUNCT__
939 #define __FUNCT__ "MatScale_MPISBAIJ"
940 PetscErrorCode MatScale_MPISBAIJ(Mat A,PetscScalar aa)
941 {
942   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
943   PetscErrorCode ierr;
944 
945   PetscFunctionBegin;
946   ierr = MatScale(a->A,aa);CHKERRQ(ierr);
947   ierr = MatScale(a->B,aa);CHKERRQ(ierr);
948   PetscFunctionReturn(0);
949 }
950 
951 #undef __FUNCT__
952 #define __FUNCT__ "MatGetRow_MPISBAIJ"
953 PetscErrorCode MatGetRow_MPISBAIJ(Mat matin,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
954 {
955   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
956   PetscScalar    *vworkA,*vworkB,**pvA,**pvB,*v_p;
957   PetscErrorCode ierr;
958   PetscInt       bs = matin->rmap->bs,bs2 = mat->bs2,i,*cworkA,*cworkB,**pcA,**pcB;
959   PetscInt       nztot,nzA,nzB,lrow,brstart = matin->rmap->rstart,brend = matin->rmap->rend;
960   PetscInt       *cmap,*idx_p,cstart = mat->rstartbs;
961 
962   PetscFunctionBegin;
963   if (mat->getrowactive == PETSC_TRUE) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Already active");
964   mat->getrowactive = PETSC_TRUE;
965 
966   if (!mat->rowvalues && (idx || v)) {
967     /*
968         allocate enough space to hold information from the longest row.
969     */
970     Mat_SeqSBAIJ *Aa = (Mat_SeqSBAIJ*)mat->A->data;
971     Mat_SeqBAIJ  *Ba = (Mat_SeqBAIJ*)mat->B->data;
972     PetscInt     max = 1,mbs = mat->mbs,tmp;
973     for (i=0; i<mbs; i++) {
974       tmp = Aa->i[i+1] - Aa->i[i] + Ba->i[i+1] - Ba->i[i]; /* row length */
975       if (max < tmp) { max = tmp; }
976     }
977     ierr = PetscMalloc(max*bs2*(sizeof(PetscInt)+sizeof(PetscScalar)),&mat->rowvalues);CHKERRQ(ierr);
978     mat->rowindices = (PetscInt*)(mat->rowvalues + max*bs2);
979   }
980 
981   if (row < brstart || row >= brend) SETERRQ(PETSC_ERR_SUP,"Only local rows")
982   lrow = row - brstart;  /* local row index */
983 
984   pvA = &vworkA; pcA = &cworkA; pvB = &vworkB; pcB = &cworkB;
985   if (!v)   {pvA = 0; pvB = 0;}
986   if (!idx) {pcA = 0; if (!v) pcB = 0;}
987   ierr = (*mat->A->ops->getrow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
988   ierr = (*mat->B->ops->getrow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
989   nztot = nzA + nzB;
990 
991   cmap  = mat->garray;
992   if (v  || idx) {
993     if (nztot) {
994       /* Sort by increasing column numbers, assuming A and B already sorted */
995       PetscInt imark = -1;
996       if (v) {
997         *v = v_p = mat->rowvalues;
998         for (i=0; i<nzB; i++) {
999           if (cmap[cworkB[i]/bs] < cstart)   v_p[i] = vworkB[i];
1000           else break;
1001         }
1002         imark = i;
1003         for (i=0; i<nzA; i++)     v_p[imark+i] = vworkA[i];
1004         for (i=imark; i<nzB; i++) v_p[nzA+i]   = vworkB[i];
1005       }
1006       if (idx) {
1007         *idx = idx_p = mat->rowindices;
1008         if (imark > -1) {
1009           for (i=0; i<imark; i++) {
1010             idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1011           }
1012         } else {
1013           for (i=0; i<nzB; i++) {
1014             if (cmap[cworkB[i]/bs] < cstart)
1015               idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1016             else break;
1017           }
1018           imark = i;
1019         }
1020         for (i=0; i<nzA; i++)     idx_p[imark+i] = cstart*bs + cworkA[i];
1021         for (i=imark; i<nzB; i++) idx_p[nzA+i]   = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1022       }
1023     } else {
1024       if (idx) *idx = 0;
1025       if (v)   *v   = 0;
1026     }
1027   }
1028   *nz = nztot;
1029   ierr = (*mat->A->ops->restorerow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1030   ierr = (*mat->B->ops->restorerow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1031   PetscFunctionReturn(0);
1032 }
1033 
1034 #undef __FUNCT__
1035 #define __FUNCT__ "MatRestoreRow_MPISBAIJ"
1036 PetscErrorCode MatRestoreRow_MPISBAIJ(Mat mat,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1037 {
1038   Mat_MPISBAIJ *baij = (Mat_MPISBAIJ*)mat->data;
1039 
1040   PetscFunctionBegin;
1041   if (!baij->getrowactive) {
1042     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"MatGetRow() must be called first");
1043   }
1044   baij->getrowactive = PETSC_FALSE;
1045   PetscFunctionReturn(0);
1046 }
1047 
1048 #undef __FUNCT__
1049 #define __FUNCT__ "MatGetRowUpperTriangular_MPISBAIJ"
1050 PetscErrorCode MatGetRowUpperTriangular_MPISBAIJ(Mat A)
1051 {
1052   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1053   Mat_SeqSBAIJ   *aA = (Mat_SeqSBAIJ*)a->A->data;
1054 
1055   PetscFunctionBegin;
1056   aA->getrow_utriangular = PETSC_TRUE;
1057   PetscFunctionReturn(0);
1058 }
1059 #undef __FUNCT__
1060 #define __FUNCT__ "MatRestoreRowUpperTriangular_MPISBAIJ"
1061 PetscErrorCode MatRestoreRowUpperTriangular_MPISBAIJ(Mat A)
1062 {
1063   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1064   Mat_SeqSBAIJ   *aA = (Mat_SeqSBAIJ*)a->A->data;
1065 
1066   PetscFunctionBegin;
1067   aA->getrow_utriangular = PETSC_FALSE;
1068   PetscFunctionReturn(0);
1069 }
1070 
1071 #undef __FUNCT__
1072 #define __FUNCT__ "MatRealPart_MPISBAIJ"
1073 PetscErrorCode MatRealPart_MPISBAIJ(Mat A)
1074 {
1075   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1076   PetscErrorCode ierr;
1077 
1078   PetscFunctionBegin;
1079   ierr = MatRealPart(a->A);CHKERRQ(ierr);
1080   ierr = MatRealPart(a->B);CHKERRQ(ierr);
1081   PetscFunctionReturn(0);
1082 }
1083 
1084 #undef __FUNCT__
1085 #define __FUNCT__ "MatImaginaryPart_MPISBAIJ"
1086 PetscErrorCode MatImaginaryPart_MPISBAIJ(Mat A)
1087 {
1088   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1089   PetscErrorCode ierr;
1090 
1091   PetscFunctionBegin;
1092   ierr = MatImaginaryPart(a->A);CHKERRQ(ierr);
1093   ierr = MatImaginaryPart(a->B);CHKERRQ(ierr);
1094   PetscFunctionReturn(0);
1095 }
1096 
1097 #undef __FUNCT__
1098 #define __FUNCT__ "MatZeroEntries_MPISBAIJ"
1099 PetscErrorCode MatZeroEntries_MPISBAIJ(Mat A)
1100 {
1101   Mat_MPISBAIJ   *l = (Mat_MPISBAIJ*)A->data;
1102   PetscErrorCode ierr;
1103 
1104   PetscFunctionBegin;
1105   ierr = MatZeroEntries(l->A);CHKERRQ(ierr);
1106   ierr = MatZeroEntries(l->B);CHKERRQ(ierr);
1107   PetscFunctionReturn(0);
1108 }
1109 
1110 #undef __FUNCT__
1111 #define __FUNCT__ "MatGetInfo_MPISBAIJ"
1112 PetscErrorCode MatGetInfo_MPISBAIJ(Mat matin,MatInfoType flag,MatInfo *info)
1113 {
1114   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)matin->data;
1115   Mat            A = a->A,B = a->B;
1116   PetscErrorCode ierr;
1117   PetscReal      isend[5],irecv[5];
1118 
1119   PetscFunctionBegin;
1120   info->block_size     = (PetscReal)matin->rmap->bs;
1121   ierr = MatGetInfo(A,MAT_LOCAL,info);CHKERRQ(ierr);
1122   isend[0] = info->nz_used; isend[1] = info->nz_allocated; isend[2] = info->nz_unneeded;
1123   isend[3] = info->memory;  isend[4] = info->mallocs;
1124   ierr = MatGetInfo(B,MAT_LOCAL,info);CHKERRQ(ierr);
1125   isend[0] += info->nz_used; isend[1] += info->nz_allocated; isend[2] += info->nz_unneeded;
1126   isend[3] += info->memory;  isend[4] += info->mallocs;
1127   if (flag == MAT_LOCAL) {
1128     info->nz_used      = isend[0];
1129     info->nz_allocated = isend[1];
1130     info->nz_unneeded  = isend[2];
1131     info->memory       = isend[3];
1132     info->mallocs      = isend[4];
1133   } else if (flag == MAT_GLOBAL_MAX) {
1134     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPI_MAX,((PetscObject)matin)->comm);CHKERRQ(ierr);
1135     info->nz_used      = irecv[0];
1136     info->nz_allocated = irecv[1];
1137     info->nz_unneeded  = irecv[2];
1138     info->memory       = irecv[3];
1139     info->mallocs      = irecv[4];
1140   } else if (flag == MAT_GLOBAL_SUM) {
1141     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPI_SUM,((PetscObject)matin)->comm);CHKERRQ(ierr);
1142     info->nz_used      = irecv[0];
1143     info->nz_allocated = irecv[1];
1144     info->nz_unneeded  = irecv[2];
1145     info->memory       = irecv[3];
1146     info->mallocs      = irecv[4];
1147   } else {
1148     SETERRQ1(PETSC_ERR_ARG_WRONG,"Unknown MatInfoType argument %d",(int)flag);
1149   }
1150   info->rows_global       = (PetscReal)A->rmap->N;
1151   info->columns_global    = (PetscReal)A->cmap->N;
1152   info->rows_local        = (PetscReal)A->rmap->N;
1153   info->columns_local     = (PetscReal)A->cmap->N;
1154   info->fill_ratio_given  = 0; /* no parallel LU/ILU/Cholesky */
1155   info->fill_ratio_needed = 0;
1156   info->factor_mallocs    = 0;
1157   PetscFunctionReturn(0);
1158 }
1159 
1160 #undef __FUNCT__
1161 #define __FUNCT__ "MatSetOption_MPISBAIJ"
1162 PetscErrorCode MatSetOption_MPISBAIJ(Mat A,MatOption op,PetscTruth flg)
1163 {
1164   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1165   Mat_SeqSBAIJ   *aA = (Mat_SeqSBAIJ*)a->A->data;
1166   PetscErrorCode ierr;
1167 
1168   PetscFunctionBegin;
1169   switch (op) {
1170   case MAT_NEW_NONZERO_LOCATIONS:
1171   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1172   case MAT_KEEP_ZEROED_ROWS:
1173   case MAT_NEW_NONZERO_LOCATION_ERR:
1174     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1175     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1176     break;
1177   case MAT_ROW_ORIENTED:
1178     a->roworiented = flg;
1179     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1180     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1181     break;
1182   case MAT_NEW_DIAGONALS:
1183     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1184     break;
1185   case MAT_IGNORE_OFF_PROC_ENTRIES:
1186     a->donotstash = flg;
1187     break;
1188   case MAT_USE_HASH_TABLE:
1189     a->ht_flag = flg;
1190     break;
1191   case MAT_HERMITIAN:
1192     if (flg) SETERRQ(PETSC_ERR_SUP,"Matrix must be symmetric");
1193   case MAT_SYMMETRIC:
1194   case MAT_STRUCTURALLY_SYMMETRIC:
1195   case MAT_SYMMETRY_ETERNAL:
1196     if (!flg) SETERRQ(PETSC_ERR_SUP,"Matrix must be symmetric");
1197     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1198     break;
1199   case MAT_IGNORE_LOWER_TRIANGULAR:
1200     aA->ignore_ltriangular = flg;
1201     break;
1202   case MAT_ERROR_LOWER_TRIANGULAR:
1203     aA->ignore_ltriangular = flg;
1204     break;
1205   case MAT_GETROW_UPPERTRIANGULAR:
1206     aA->getrow_utriangular = flg;
1207     break;
1208   default:
1209     SETERRQ1(PETSC_ERR_SUP,"unknown option %d",op);
1210   }
1211   PetscFunctionReturn(0);
1212 }
1213 
1214 #undef __FUNCT__
1215 #define __FUNCT__ "MatTranspose_MPISBAIJ"
1216 PetscErrorCode MatTranspose_MPISBAIJ(Mat A,MatReuse reuse,Mat *B)
1217 {
1218   PetscErrorCode ierr;
1219   PetscFunctionBegin;
1220   if (MAT_INITIAL_MATRIX || *B != A) {
1221     ierr = MatDuplicate(A,MAT_COPY_VALUES,B);CHKERRQ(ierr);
1222   }
1223   PetscFunctionReturn(0);
1224 }
1225 
1226 #undef __FUNCT__
1227 #define __FUNCT__ "MatDiagonalScale_MPISBAIJ"
1228 PetscErrorCode MatDiagonalScale_MPISBAIJ(Mat mat,Vec ll,Vec rr)
1229 {
1230   Mat_MPISBAIJ   *baij = (Mat_MPISBAIJ*)mat->data;
1231   Mat            a=baij->A, b=baij->B;
1232   PetscErrorCode ierr;
1233   PetscInt       nv,m,n;
1234   PetscTruth     flg;
1235 
1236   PetscFunctionBegin;
1237   if (ll != rr){
1238     ierr = VecEqual(ll,rr,&flg);CHKERRQ(ierr);
1239     if (!flg)
1240       SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"For symmetric format, left and right scaling vectors must be same\n");
1241   }
1242   if (!ll) PetscFunctionReturn(0);
1243 
1244   ierr = MatGetLocalSize(mat,&m,&n);CHKERRQ(ierr);
1245   if (m != n) SETERRQ2(PETSC_ERR_ARG_SIZ,"For symmetric format, local size %d %d must be same",m,n);
1246 
1247   ierr = VecGetLocalSize(rr,&nv);CHKERRQ(ierr);
1248   if (nv!=n) SETERRQ(PETSC_ERR_ARG_SIZ,"Left and right vector non-conforming local size");
1249 
1250   ierr = VecScatterBegin(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1251 
1252   /* left diagonalscale the off-diagonal part */
1253   ierr = (*b->ops->diagonalscale)(b,ll,PETSC_NULL);CHKERRQ(ierr);
1254 
1255   /* scale the diagonal part */
1256   ierr = (*a->ops->diagonalscale)(a,ll,rr);CHKERRQ(ierr);
1257 
1258   /* right diagonalscale the off-diagonal part */
1259   ierr = VecScatterEnd(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1260   ierr = (*b->ops->diagonalscale)(b,PETSC_NULL,baij->lvec);CHKERRQ(ierr);
1261   PetscFunctionReturn(0);
1262 }
1263 
1264 #undef __FUNCT__
1265 #define __FUNCT__ "MatSetUnfactored_MPISBAIJ"
1266 PetscErrorCode MatSetUnfactored_MPISBAIJ(Mat A)
1267 {
1268   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
1269   PetscErrorCode ierr;
1270 
1271   PetscFunctionBegin;
1272   ierr = MatSetUnfactored(a->A);CHKERRQ(ierr);
1273   PetscFunctionReturn(0);
1274 }
1275 
1276 static PetscErrorCode MatDuplicate_MPISBAIJ(Mat,MatDuplicateOption,Mat *);
1277 
1278 #undef __FUNCT__
1279 #define __FUNCT__ "MatEqual_MPISBAIJ"
1280 PetscErrorCode MatEqual_MPISBAIJ(Mat A,Mat B,PetscTruth *flag)
1281 {
1282   Mat_MPISBAIJ   *matB = (Mat_MPISBAIJ*)B->data,*matA = (Mat_MPISBAIJ*)A->data;
1283   Mat            a,b,c,d;
1284   PetscTruth     flg;
1285   PetscErrorCode ierr;
1286 
1287   PetscFunctionBegin;
1288   a = matA->A; b = matA->B;
1289   c = matB->A; d = matB->B;
1290 
1291   ierr = MatEqual(a,c,&flg);CHKERRQ(ierr);
1292   if (flg) {
1293     ierr = MatEqual(b,d,&flg);CHKERRQ(ierr);
1294   }
1295   ierr = MPI_Allreduce(&flg,flag,1,MPI_INT,MPI_LAND,((PetscObject)A)->comm);CHKERRQ(ierr);
1296   PetscFunctionReturn(0);
1297 }
1298 
1299 #undef __FUNCT__
1300 #define __FUNCT__ "MatCopy_MPISBAIJ"
1301 PetscErrorCode MatCopy_MPISBAIJ(Mat A,Mat B,MatStructure str)
1302 {
1303   PetscErrorCode ierr;
1304   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ *)A->data;
1305   Mat_MPISBAIJ   *b = (Mat_MPISBAIJ *)B->data;
1306 
1307   PetscFunctionBegin;
1308   /* If the two matrices don't have the same copy implementation, they aren't compatible for fast copy. */
1309   if ((str != SAME_NONZERO_PATTERN) || (A->ops->copy != B->ops->copy)) {
1310     ierr = MatGetRowUpperTriangular(A);CHKERRQ(ierr);
1311     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
1312     ierr = MatRestoreRowUpperTriangular(A);CHKERRQ(ierr);
1313   } else {
1314     ierr = MatCopy(a->A,b->A,str);CHKERRQ(ierr);
1315     ierr = MatCopy(a->B,b->B,str);CHKERRQ(ierr);
1316   }
1317   PetscFunctionReturn(0);
1318 }
1319 
1320 #undef __FUNCT__
1321 #define __FUNCT__ "MatSetUpPreallocation_MPISBAIJ"
1322 PetscErrorCode MatSetUpPreallocation_MPISBAIJ(Mat A)
1323 {
1324   PetscErrorCode ierr;
1325 
1326   PetscFunctionBegin;
1327   ierr = MatMPISBAIJSetPreallocation(A,-PetscMax(A->rmap->bs,1),PETSC_DEFAULT,0,PETSC_DEFAULT,0);CHKERRQ(ierr);
1328   PetscFunctionReturn(0);
1329 }
1330 
1331 #include "petscblaslapack.h"
1332 #undef __FUNCT__
1333 #define __FUNCT__ "MatAXPY_MPISBAIJ"
1334 PetscErrorCode MatAXPY_MPISBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
1335 {
1336   PetscErrorCode ierr;
1337   Mat_MPISBAIJ   *xx=(Mat_MPISBAIJ *)X->data,*yy=(Mat_MPISBAIJ *)Y->data;
1338   PetscBLASInt   bnz,one=1;
1339   Mat_SeqSBAIJ   *xa,*ya;
1340   Mat_SeqBAIJ    *xb,*yb;
1341 
1342   PetscFunctionBegin;
1343   if (str == SAME_NONZERO_PATTERN) {
1344     PetscScalar alpha = a;
1345     xa = (Mat_SeqSBAIJ *)xx->A->data;
1346     ya = (Mat_SeqSBAIJ *)yy->A->data;
1347     bnz = PetscBLASIntCast(xa->nz);
1348     BLASaxpy_(&bnz,&alpha,xa->a,&one,ya->a,&one);
1349     xb = (Mat_SeqBAIJ *)xx->B->data;
1350     yb = (Mat_SeqBAIJ *)yy->B->data;
1351     bnz = PetscBLASIntCast(xb->nz);
1352     BLASaxpy_(&bnz,&alpha,xb->a,&one,yb->a,&one);
1353   } else {
1354     ierr = MatGetRowUpperTriangular(X);CHKERRQ(ierr);
1355     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
1356     ierr = MatRestoreRowUpperTriangular(X);CHKERRQ(ierr);
1357   }
1358   PetscFunctionReturn(0);
1359 }
1360 
1361 #undef __FUNCT__
1362 #define __FUNCT__ "MatGetSubMatrices_MPISBAIJ"
1363 PetscErrorCode MatGetSubMatrices_MPISBAIJ(Mat A,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *B[])
1364 {
1365   PetscErrorCode ierr;
1366   PetscInt       i;
1367   PetscTruth     flg;
1368 
1369   PetscFunctionBegin;
1370   for (i=0; i<n; i++) {
1371     ierr = ISEqual(irow[i],icol[i],&flg);CHKERRQ(ierr);
1372     if (!flg) {
1373       SETERRQ(PETSC_ERR_SUP,"Can only get symmetric submatrix for MPISBAIJ matrices");
1374     }
1375   }
1376   ierr = MatGetSubMatrices_MPIBAIJ(A,n,irow,icol,scall,B);CHKERRQ(ierr);
1377   PetscFunctionReturn(0);
1378 }
1379 
1380 
1381 /* -------------------------------------------------------------------*/
1382 static struct _MatOps MatOps_Values = {
1383        MatSetValues_MPISBAIJ,
1384        MatGetRow_MPISBAIJ,
1385        MatRestoreRow_MPISBAIJ,
1386        MatMult_MPISBAIJ,
1387 /* 4*/ MatMultAdd_MPISBAIJ,
1388        MatMult_MPISBAIJ,       /* transpose versions are same as non-transpose */
1389        MatMultAdd_MPISBAIJ,
1390        0,
1391        0,
1392        0,
1393 /*10*/ 0,
1394        0,
1395        0,
1396        MatRelax_MPISBAIJ,
1397        MatTranspose_MPISBAIJ,
1398 /*15*/ MatGetInfo_MPISBAIJ,
1399        MatEqual_MPISBAIJ,
1400        MatGetDiagonal_MPISBAIJ,
1401        MatDiagonalScale_MPISBAIJ,
1402        MatNorm_MPISBAIJ,
1403 /*20*/ MatAssemblyBegin_MPISBAIJ,
1404        MatAssemblyEnd_MPISBAIJ,
1405        0,
1406        MatSetOption_MPISBAIJ,
1407        MatZeroEntries_MPISBAIJ,
1408 /*25*/ 0,
1409        0,
1410        0,
1411        0,
1412        0,
1413 /*30*/ MatSetUpPreallocation_MPISBAIJ,
1414        0,
1415        0,
1416        0,
1417        0,
1418 /*35*/ MatDuplicate_MPISBAIJ,
1419        0,
1420        0,
1421        0,
1422        0,
1423 /*40*/ MatAXPY_MPISBAIJ,
1424        MatGetSubMatrices_MPISBAIJ,
1425        MatIncreaseOverlap_MPISBAIJ,
1426        MatGetValues_MPISBAIJ,
1427        MatCopy_MPISBAIJ,
1428 /*45*/ 0,
1429        MatScale_MPISBAIJ,
1430        0,
1431        0,
1432        0,
1433 /*50*/ 0,
1434        0,
1435        0,
1436        0,
1437        0,
1438 /*55*/ 0,
1439        0,
1440        MatSetUnfactored_MPISBAIJ,
1441        0,
1442        MatSetValuesBlocked_MPISBAIJ,
1443 /*60*/ 0,
1444        0,
1445        0,
1446        0,
1447        0,
1448 /*65*/ 0,
1449        0,
1450        0,
1451        0,
1452        0,
1453 /*70*/ MatGetRowMaxAbs_MPISBAIJ,
1454        0,
1455        0,
1456        0,
1457        0,
1458 /*75*/ 0,
1459        0,
1460        0,
1461        0,
1462        0,
1463 /*80*/ 0,
1464        0,
1465        0,
1466        0,
1467        MatLoad_MPISBAIJ,
1468 /*85*/ 0,
1469        0,
1470        0,
1471        0,
1472        0,
1473 /*90*/ 0,
1474        0,
1475        0,
1476        0,
1477        0,
1478 /*95*/ 0,
1479        0,
1480        0,
1481        0,
1482        0,
1483 /*100*/0,
1484        0,
1485        0,
1486        0,
1487        0,
1488 /*105*/0,
1489        MatRealPart_MPISBAIJ,
1490        MatImaginaryPart_MPISBAIJ,
1491        MatGetRowUpperTriangular_MPISBAIJ,
1492        MatRestoreRowUpperTriangular_MPISBAIJ
1493 };
1494 
1495 
1496 EXTERN_C_BEGIN
1497 #undef __FUNCT__
1498 #define __FUNCT__ "MatGetDiagonalBlock_MPISBAIJ"
1499 PetscErrorCode PETSCMAT_DLLEXPORT MatGetDiagonalBlock_MPISBAIJ(Mat A,PetscTruth *iscopy,MatReuse reuse,Mat *a)
1500 {
1501   PetscFunctionBegin;
1502   *a      = ((Mat_MPISBAIJ *)A->data)->A;
1503   *iscopy = PETSC_FALSE;
1504   PetscFunctionReturn(0);
1505 }
1506 EXTERN_C_END
1507 
1508 EXTERN_C_BEGIN
1509 #undef __FUNCT__
1510 #define __FUNCT__ "MatMPISBAIJSetPreallocation_MPISBAIJ"
1511 PetscErrorCode PETSCMAT_DLLEXPORT MatMPISBAIJSetPreallocation_MPISBAIJ(Mat B,PetscInt bs,PetscInt d_nz,PetscInt *d_nnz,PetscInt o_nz,PetscInt *o_nnz)
1512 {
1513   Mat_MPISBAIJ   *b;
1514   PetscErrorCode ierr;
1515   PetscInt       i,mbs,Mbs,newbs = PetscAbs(bs);
1516 
1517   PetscFunctionBegin;
1518   if (bs < 0){
1519     ierr = PetscOptionsBegin(((PetscObject)B)->comm,((PetscObject)B)->prefix,"Options for MPISBAIJ matrix","Mat");CHKERRQ(ierr);
1520       ierr = PetscOptionsInt("-mat_block_size","Set the blocksize used to store the matrix","MatMPIBAIJSetPreallocation",newbs,&newbs,PETSC_NULL);CHKERRQ(ierr);
1521     ierr = PetscOptionsEnd();CHKERRQ(ierr);
1522     bs   = PetscAbs(bs);
1523   }
1524   if ((d_nnz || o_nnz) && newbs != bs) {
1525     SETERRQ(PETSC_ERR_ARG_WRONG,"Cannot change blocksize from command line if setting d_nnz or o_nnz");
1526   }
1527   bs = newbs;
1528 
1529   if (d_nz == PETSC_DECIDE || d_nz == PETSC_DEFAULT) d_nz = 3;
1530   if (o_nz == PETSC_DECIDE || o_nz == PETSC_DEFAULT) o_nz = 1;
1531   if (d_nz < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"d_nz cannot be less than 0: value %D",d_nz);
1532   if (o_nz < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"o_nz cannot be less than 0: value %D",o_nz);
1533 
1534   B->rmap->bs = B->cmap->bs = bs;
1535   ierr = PetscMapSetUp(B->rmap);CHKERRQ(ierr);
1536   ierr = PetscMapSetUp(B->cmap);CHKERRQ(ierr);
1537 
1538   if (d_nnz) {
1539     for (i=0; i<B->rmap->n/bs; i++) {
1540       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]);
1541     }
1542   }
1543   if (o_nnz) {
1544     for (i=0; i<B->rmap->n/bs; i++) {
1545       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]);
1546     }
1547   }
1548   B->preallocated = PETSC_TRUE;
1549 
1550   b   = (Mat_MPISBAIJ*)B->data;
1551   mbs = B->rmap->n/bs;
1552   Mbs = B->rmap->N/bs;
1553   if (mbs*bs != B->rmap->n) {
1554     SETERRQ2(PETSC_ERR_ARG_SIZ,"No of local rows %D must be divisible by blocksize %D",B->rmap->N,bs);
1555   }
1556 
1557   B->rmap->bs  = bs;
1558   b->bs2 = bs*bs;
1559   b->mbs = mbs;
1560   b->nbs = mbs;
1561   b->Mbs = Mbs;
1562   b->Nbs = Mbs;
1563 
1564   for (i=0; i<=b->size; i++) {
1565     b->rangebs[i] = B->rmap->range[i]/bs;
1566   }
1567   b->rstartbs = B->rmap->rstart/bs;
1568   b->rendbs   = B->rmap->rend/bs;
1569 
1570   b->cstartbs = B->cmap->rstart/bs;
1571   b->cendbs   = B->cmap->rend/bs;
1572 
1573   ierr = MatCreate(PETSC_COMM_SELF,&b->A);CHKERRQ(ierr);
1574   ierr = MatSetSizes(b->A,B->rmap->n,B->cmap->n,B->rmap->n,B->cmap->n);CHKERRQ(ierr);
1575   ierr = MatSetType(b->A,MATSEQSBAIJ);CHKERRQ(ierr);
1576   ierr = MatSeqSBAIJSetPreallocation(b->A,bs,d_nz,d_nnz);CHKERRQ(ierr);
1577   ierr = PetscLogObjectParent(B,b->A);CHKERRQ(ierr);
1578 
1579   ierr = MatCreate(PETSC_COMM_SELF,&b->B);CHKERRQ(ierr);
1580   ierr = MatSetSizes(b->B,B->rmap->n,B->cmap->N,B->rmap->n,B->cmap->N);CHKERRQ(ierr);
1581   ierr = MatSetType(b->B,MATSEQBAIJ);CHKERRQ(ierr);
1582   ierr = MatSeqBAIJSetPreallocation(b->B,bs,o_nz,o_nnz);CHKERRQ(ierr);
1583   ierr = PetscLogObjectParent(B,b->B);CHKERRQ(ierr);
1584 
1585   /* build cache for off array entries formed */
1586   ierr = MatStashCreate_Private(((PetscObject)B)->comm,bs,&B->bstash);CHKERRQ(ierr);
1587 
1588   PetscFunctionReturn(0);
1589 }
1590 EXTERN_C_END
1591 
1592 EXTERN_C_BEGIN
1593 #if defined(PETSC_HAVE_MUMPS)
1594 extern PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactor_mpisbaij_mumps(Mat,MatFactorType,Mat*);
1595 #endif
1596 #if defined(PETSC_HAVE_SPOOLES)
1597 extern PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactor_mpisbaij_spooles(Mat,MatFactorType,Mat*);
1598 #endif
1599 EXTERN_C_END
1600 
1601 /*MC
1602    MATMPISBAIJ - MATMPISBAIJ = "mpisbaij" - A matrix type to be used for distributed symmetric sparse block matrices,
1603    based on block compressed sparse row format.  Only the upper triangular portion of the matrix is stored.
1604 
1605    Options Database Keys:
1606 . -mat_type mpisbaij - sets the matrix type to "mpisbaij" during a call to MatSetFromOptions()
1607 
1608   Level: beginner
1609 
1610 .seealso: MatCreateMPISBAIJ
1611 M*/
1612 
1613 EXTERN_C_BEGIN
1614 #undef __FUNCT__
1615 #define __FUNCT__ "MatCreate_MPISBAIJ"
1616 PetscErrorCode PETSCMAT_DLLEXPORT MatCreate_MPISBAIJ(Mat B)
1617 {
1618   Mat_MPISBAIJ   *b;
1619   PetscErrorCode ierr;
1620   PetscTruth     flg;
1621 
1622   PetscFunctionBegin;
1623 
1624   ierr    = PetscNewLog(B,Mat_MPISBAIJ,&b);CHKERRQ(ierr);
1625   B->data = (void*)b;
1626   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
1627 
1628   B->ops->destroy    = MatDestroy_MPISBAIJ;
1629   B->ops->view       = MatView_MPISBAIJ;
1630   B->mapping         = 0;
1631   B->assembled       = PETSC_FALSE;
1632 
1633   B->insertmode = NOT_SET_VALUES;
1634   ierr = MPI_Comm_rank(((PetscObject)B)->comm,&b->rank);CHKERRQ(ierr);
1635   ierr = MPI_Comm_size(((PetscObject)B)->comm,&b->size);CHKERRQ(ierr);
1636 
1637   /* build local table of row and column ownerships */
1638   ierr  = PetscMalloc((b->size+2)*sizeof(PetscInt),&b->rangebs);CHKERRQ(ierr);
1639 
1640   /* build cache for off array entries formed */
1641   ierr = MatStashCreate_Private(((PetscObject)B)->comm,1,&B->stash);CHKERRQ(ierr);
1642   b->donotstash  = PETSC_FALSE;
1643   b->colmap      = PETSC_NULL;
1644   b->garray      = PETSC_NULL;
1645   b->roworiented = PETSC_TRUE;
1646 
1647   /* stuff used in block assembly */
1648   b->barray       = 0;
1649 
1650   /* stuff used for matrix vector multiply */
1651   b->lvec         = 0;
1652   b->Mvctx        = 0;
1653   b->slvec0       = 0;
1654   b->slvec0b      = 0;
1655   b->slvec1       = 0;
1656   b->slvec1a      = 0;
1657   b->slvec1b      = 0;
1658   b->sMvctx       = 0;
1659 
1660   /* stuff for MatGetRow() */
1661   b->rowindices   = 0;
1662   b->rowvalues    = 0;
1663   b->getrowactive = PETSC_FALSE;
1664 
1665   /* hash table stuff */
1666   b->ht           = 0;
1667   b->hd           = 0;
1668   b->ht_size      = 0;
1669   b->ht_flag      = PETSC_FALSE;
1670   b->ht_fact      = 0;
1671   b->ht_total_ct  = 0;
1672   b->ht_insert_ct = 0;
1673 
1674   b->in_loc       = 0;
1675   b->v_loc        = 0;
1676   b->n_loc        = 0;
1677   ierr = PetscOptionsBegin(((PetscObject)B)->comm,PETSC_NULL,"Options for loading MPISBAIJ matrix 1","Mat");CHKERRQ(ierr);
1678     ierr = PetscOptionsTruth("-mat_use_hash_table","Use hash table to save memory in constructing matrix","MatSetOption",PETSC_FALSE,&flg,PETSC_NULL);CHKERRQ(ierr);
1679     if (flg) {
1680       PetscReal fact = 1.39;
1681       ierr = MatSetOption(B,MAT_USE_HASH_TABLE,PETSC_TRUE);CHKERRQ(ierr);
1682       ierr = PetscOptionsReal("-mat_use_hash_table","Use hash table factor","MatMPIBAIJSetHashTableFactor",fact,&fact,PETSC_NULL);CHKERRQ(ierr);
1683       if (fact <= 1.0) fact = 1.39;
1684       ierr = MatMPIBAIJSetHashTableFactor(B,fact);CHKERRQ(ierr);
1685       ierr = PetscInfo1(B,"Hash table Factor used %5.2f\n",fact);CHKERRQ(ierr);
1686     }
1687   ierr = PetscOptionsEnd();CHKERRQ(ierr);
1688 
1689 #if defined(PETSC_HAVE_MUMPS)
1690   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_mpisbaij_mumps_C",
1691                                      "MatGetFactor_mpisbaij_mumps",
1692                                      MatGetFactor_mpisbaij_mumps);CHKERRQ(ierr);
1693 #endif
1694 #if defined(PETSC_HAVE_SPOOLES)
1695   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_mpisbaij_spooles_C",
1696                                      "MatGetFactor_mpisbaij_spooles",
1697                                      MatGetFactor_mpisbaij_spooles);CHKERRQ(ierr);
1698 #endif
1699   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatStoreValues_C",
1700                                      "MatStoreValues_MPISBAIJ",
1701                                      MatStoreValues_MPISBAIJ);CHKERRQ(ierr);
1702   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatRetrieveValues_C",
1703                                      "MatRetrieveValues_MPISBAIJ",
1704                                      MatRetrieveValues_MPISBAIJ);CHKERRQ(ierr);
1705   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetDiagonalBlock_C",
1706                                      "MatGetDiagonalBlock_MPISBAIJ",
1707                                      MatGetDiagonalBlock_MPISBAIJ);CHKERRQ(ierr);
1708   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMPISBAIJSetPreallocation_C",
1709                                      "MatMPISBAIJSetPreallocation_MPISBAIJ",
1710                                      MatMPISBAIJSetPreallocation_MPISBAIJ);CHKERRQ(ierr);
1711   B->symmetric                  = PETSC_TRUE;
1712   B->structurally_symmetric     = PETSC_TRUE;
1713   B->symmetric_set              = PETSC_TRUE;
1714   B->structurally_symmetric_set = PETSC_TRUE;
1715   ierr = PetscObjectChangeTypeName((PetscObject)B,MATMPISBAIJ);CHKERRQ(ierr);
1716   PetscFunctionReturn(0);
1717 }
1718 EXTERN_C_END
1719 
1720 /*MC
1721    MATSBAIJ - MATSBAIJ = "sbaij" - A matrix type to be used for symmetric block sparse matrices.
1722 
1723    This matrix type is identical to MATSEQSBAIJ when constructed with a single process communicator,
1724    and MATMPISBAIJ otherwise.
1725 
1726    Options Database Keys:
1727 . -mat_type sbaij - sets the matrix type to "sbaij" during a call to MatSetFromOptions()
1728 
1729   Level: beginner
1730 
1731 .seealso: MatCreateMPISBAIJ,MATSEQSBAIJ,MATMPISBAIJ
1732 M*/
1733 
1734 EXTERN_C_BEGIN
1735 #undef __FUNCT__
1736 #define __FUNCT__ "MatCreate_SBAIJ"
1737 PetscErrorCode PETSCMAT_DLLEXPORT MatCreate_SBAIJ(Mat A)
1738 {
1739   PetscErrorCode ierr;
1740   PetscMPIInt    size;
1741 
1742   PetscFunctionBegin;
1743   ierr = MPI_Comm_size(((PetscObject)A)->comm,&size);CHKERRQ(ierr);
1744   if (size == 1) {
1745     ierr = MatSetType(A,MATSEQSBAIJ);CHKERRQ(ierr);
1746   } else {
1747     ierr = MatSetType(A,MATMPISBAIJ);CHKERRQ(ierr);
1748   }
1749   PetscFunctionReturn(0);
1750 }
1751 EXTERN_C_END
1752 
1753 #undef __FUNCT__
1754 #define __FUNCT__ "MatMPISBAIJSetPreallocation"
1755 /*@C
1756    MatMPISBAIJSetPreallocation - For good matrix assembly performance
1757    the user should preallocate the matrix storage by setting the parameters
1758    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
1759    performance can be increased by more than a factor of 50.
1760 
1761    Collective on Mat
1762 
1763    Input Parameters:
1764 +  A - the matrix
1765 .  bs   - size of blockk
1766 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
1767            submatrix  (same for all local rows)
1768 .  d_nnz - array containing the number of block nonzeros in the various block rows
1769            in the upper triangular and diagonal part of the in diagonal portion of the local
1770            (possibly different for each block row) or PETSC_NULL.  You must leave room
1771            for the diagonal entry even if it is zero.
1772 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
1773            submatrix (same for all local rows).
1774 -  o_nnz - array containing the number of nonzeros in the various block rows of the
1775            off-diagonal portion of the local submatrix (possibly different for
1776            each block row) or PETSC_NULL.
1777 
1778 
1779    Options Database Keys:
1780 .   -mat_no_unroll - uses code that does not unroll the loops in the
1781                      block calculations (much slower)
1782 .   -mat_block_size - size of the blocks to use
1783 
1784    Notes:
1785 
1786    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
1787    than it must be used on all processors that share the object for that argument.
1788 
1789    If the *_nnz parameter is given then the *_nz parameter is ignored
1790 
1791    Storage Information:
1792    For a square global matrix we define each processor's diagonal portion
1793    to be its local rows and the corresponding columns (a square submatrix);
1794    each processor's off-diagonal portion encompasses the remainder of the
1795    local matrix (a rectangular submatrix).
1796 
1797    The user can specify preallocated storage for the diagonal part of
1798    the local submatrix with either d_nz or d_nnz (not both).  Set
1799    d_nz=PETSC_DEFAULT and d_nnz=PETSC_NULL for PETSc to control dynamic
1800    memory allocation.  Likewise, specify preallocated storage for the
1801    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
1802 
1803    You can call MatGetInfo() to get information on how effective the preallocation was;
1804    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
1805    You can also run with the option -info and look for messages with the string
1806    malloc in them to see if additional memory allocation was needed.
1807 
1808    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
1809    the figure below we depict these three local rows and all columns (0-11).
1810 
1811 .vb
1812            0 1 2 3 4 5 6 7 8 9 10 11
1813           -------------------
1814    row 3  |  o o o d d d o o o o o o
1815    row 4  |  o o o d d d o o o o o o
1816    row 5  |  o o o d d d o o o o o o
1817           -------------------
1818 .ve
1819 
1820    Thus, any entries in the d locations are stored in the d (diagonal)
1821    submatrix, and any entries in the o locations are stored in the
1822    o (off-diagonal) submatrix.  Note that the d matrix is stored in
1823    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
1824 
1825    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
1826    plus the diagonal part of the d matrix,
1827    and o_nz should indicate the number of block nonzeros per row in the o matrix.
1828    In general, for PDE problems in which most nonzeros are near the diagonal,
1829    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
1830    or you will get TERRIBLE performance; see the users' manual chapter on
1831    matrices.
1832 
1833    Level: intermediate
1834 
1835 .keywords: matrix, block, aij, compressed row, sparse, parallel
1836 
1837 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateMPIBAIJ()
1838 @*/
1839 PetscErrorCode PETSCMAT_DLLEXPORT MatMPISBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
1840 {
1841   PetscErrorCode ierr,(*f)(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1842 
1843   PetscFunctionBegin;
1844   ierr = PetscObjectQueryFunction((PetscObject)B,"MatMPISBAIJSetPreallocation_C",(void (**)(void))&f);CHKERRQ(ierr);
1845   if (f) {
1846     ierr = (*f)(B,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
1847   }
1848   PetscFunctionReturn(0);
1849 }
1850 
1851 #undef __FUNCT__
1852 #define __FUNCT__ "MatCreateMPISBAIJ"
1853 /*@C
1854    MatCreateMPISBAIJ - Creates a sparse parallel matrix in symmetric block AIJ format
1855    (block compressed row).  For good matrix assembly performance
1856    the user should preallocate the matrix storage by setting the parameters
1857    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
1858    performance can be increased by more than a factor of 50.
1859 
1860    Collective on MPI_Comm
1861 
1862    Input Parameters:
1863 +  comm - MPI communicator
1864 .  bs   - size of blockk
1865 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
1866            This value should be the same as the local size used in creating the
1867            y vector for the matrix-vector product y = Ax.
1868 .  n - number of local columns (or PETSC_DECIDE to have calculated if N is given)
1869            This value should be the same as the local size used in creating the
1870            x vector for the matrix-vector product y = Ax.
1871 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
1872 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
1873 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
1874            submatrix  (same for all local rows)
1875 .  d_nnz - array containing the number of block nonzeros in the various block rows
1876            in the upper triangular portion of the in diagonal portion of the local
1877            (possibly different for each block block row) or PETSC_NULL.
1878            You must leave room for the diagonal entry even if it is zero.
1879 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
1880            submatrix (same for all local rows).
1881 -  o_nnz - array containing the number of nonzeros in the various block rows of the
1882            off-diagonal portion of the local submatrix (possibly different for
1883            each block row) or PETSC_NULL.
1884 
1885    Output Parameter:
1886 .  A - the matrix
1887 
1888    Options Database Keys:
1889 .   -mat_no_unroll - uses code that does not unroll the loops in the
1890                      block calculations (much slower)
1891 .   -mat_block_size - size of the blocks to use
1892 .   -mat_mpi - use the parallel matrix data structures even on one processor
1893                (defaults to using SeqBAIJ format on one processor)
1894 
1895    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
1896    MatXXXXSetPreallocation() paradgm instead of this routine directly. This is definitely
1897    true if you plan to use the external direct solvers such as SuperLU, MUMPS or Spooles.
1898    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
1899 
1900    Notes:
1901    The number of rows and columns must be divisible by blocksize.
1902    This matrix type does not support complex Hermitian operation.
1903 
1904    The user MUST specify either the local or global matrix dimensions
1905    (possibly both).
1906 
1907    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
1908    than it must be used on all processors that share the object for that argument.
1909 
1910    If the *_nnz parameter is given then the *_nz parameter is ignored
1911 
1912    Storage Information:
1913    For a square global matrix we define each processor's diagonal portion
1914    to be its local rows and the corresponding columns (a square submatrix);
1915    each processor's off-diagonal portion encompasses the remainder of the
1916    local matrix (a rectangular submatrix).
1917 
1918    The user can specify preallocated storage for the diagonal part of
1919    the local submatrix with either d_nz or d_nnz (not both).  Set
1920    d_nz=PETSC_DEFAULT and d_nnz=PETSC_NULL for PETSc to control dynamic
1921    memory allocation.  Likewise, specify preallocated storage for the
1922    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
1923 
1924    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
1925    the figure below we depict these three local rows and all columns (0-11).
1926 
1927 .vb
1928            0 1 2 3 4 5 6 7 8 9 10 11
1929           -------------------
1930    row 3  |  o o o d d d o o o o o o
1931    row 4  |  o o o d d d o o o o o o
1932    row 5  |  o o o d d d o o o o o o
1933           -------------------
1934 .ve
1935 
1936    Thus, any entries in the d locations are stored in the d (diagonal)
1937    submatrix, and any entries in the o locations are stored in the
1938    o (off-diagonal) submatrix.  Note that the d matrix is stored in
1939    MatSeqSBAIJ format and the o submatrix in MATSEQBAIJ format.
1940 
1941    Now d_nz should indicate the number of block nonzeros per row in the upper triangular
1942    plus the diagonal part of the d matrix,
1943    and o_nz should indicate the number of block nonzeros per row in the o matrix.
1944    In general, for PDE problems in which most nonzeros are near the diagonal,
1945    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
1946    or you will get TERRIBLE performance; see the users' manual chapter on
1947    matrices.
1948 
1949    Level: intermediate
1950 
1951 .keywords: matrix, block, aij, compressed row, sparse, parallel
1952 
1953 .seealso: MatCreate(), MatCreateSeqSBAIJ(), MatSetValues(), MatCreateMPIBAIJ()
1954 @*/
1955 
1956 PetscErrorCode PETSCMAT_DLLEXPORT MatCreateMPISBAIJ(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[],Mat *A)
1957 {
1958   PetscErrorCode ierr;
1959   PetscMPIInt    size;
1960 
1961   PetscFunctionBegin;
1962   ierr = MatCreate(comm,A);CHKERRQ(ierr);
1963   ierr = MatSetSizes(*A,m,n,M,N);CHKERRQ(ierr);
1964   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
1965   if (size > 1) {
1966     ierr = MatSetType(*A,MATMPISBAIJ);CHKERRQ(ierr);
1967     ierr = MatMPISBAIJSetPreallocation(*A,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
1968   } else {
1969     ierr = MatSetType(*A,MATSEQSBAIJ);CHKERRQ(ierr);
1970     ierr = MatSeqSBAIJSetPreallocation(*A,bs,d_nz,d_nnz);CHKERRQ(ierr);
1971   }
1972   PetscFunctionReturn(0);
1973 }
1974 
1975 
1976 #undef __FUNCT__
1977 #define __FUNCT__ "MatDuplicate_MPISBAIJ"
1978 static PetscErrorCode MatDuplicate_MPISBAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
1979 {
1980   Mat            mat;
1981   Mat_MPISBAIJ   *a,*oldmat = (Mat_MPISBAIJ*)matin->data;
1982   PetscErrorCode ierr;
1983   PetscInt       len=0,nt,bs=matin->rmap->bs,mbs=oldmat->mbs;
1984   PetscScalar    *array;
1985 
1986   PetscFunctionBegin;
1987   *newmat       = 0;
1988   ierr = MatCreate(((PetscObject)matin)->comm,&mat);CHKERRQ(ierr);
1989   ierr = MatSetSizes(mat,matin->rmap->n,matin->cmap->n,matin->rmap->N,matin->cmap->N);CHKERRQ(ierr);
1990   ierr = MatSetType(mat,((PetscObject)matin)->type_name);CHKERRQ(ierr);
1991   ierr = PetscMemcpy(mat->ops,matin->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
1992   ierr = PetscMapCopy(((PetscObject)matin)->comm,matin->rmap,mat->rmap);CHKERRQ(ierr);
1993   ierr = PetscMapCopy(((PetscObject)matin)->comm,matin->cmap,mat->cmap);CHKERRQ(ierr);
1994 
1995   mat->factor       = matin->factor;
1996   mat->preallocated = PETSC_TRUE;
1997   mat->assembled    = PETSC_TRUE;
1998   mat->insertmode   = NOT_SET_VALUES;
1999 
2000   a = (Mat_MPISBAIJ*)mat->data;
2001   a->bs2   = oldmat->bs2;
2002   a->mbs   = oldmat->mbs;
2003   a->nbs   = oldmat->nbs;
2004   a->Mbs   = oldmat->Mbs;
2005   a->Nbs   = oldmat->Nbs;
2006 
2007 
2008   a->size         = oldmat->size;
2009   a->rank         = oldmat->rank;
2010   a->donotstash   = oldmat->donotstash;
2011   a->roworiented  = oldmat->roworiented;
2012   a->rowindices   = 0;
2013   a->rowvalues    = 0;
2014   a->getrowactive = PETSC_FALSE;
2015   a->barray       = 0;
2016   a->rstartbs    = oldmat->rstartbs;
2017   a->rendbs      = oldmat->rendbs;
2018   a->cstartbs    = oldmat->cstartbs;
2019   a->cendbs      = oldmat->cendbs;
2020 
2021   /* hash table stuff */
2022   a->ht           = 0;
2023   a->hd           = 0;
2024   a->ht_size      = 0;
2025   a->ht_flag      = oldmat->ht_flag;
2026   a->ht_fact      = oldmat->ht_fact;
2027   a->ht_total_ct  = 0;
2028   a->ht_insert_ct = 0;
2029 
2030   ierr = PetscMemcpy(a->rangebs,oldmat->rangebs,(a->size+2)*sizeof(PetscInt));CHKERRQ(ierr);
2031   ierr = MatStashCreate_Private(((PetscObject)matin)->comm,1,&mat->stash);CHKERRQ(ierr);
2032   ierr = MatStashCreate_Private(((PetscObject)matin)->comm,matin->rmap->bs,&mat->bstash);CHKERRQ(ierr);
2033   if (oldmat->colmap) {
2034 #if defined (PETSC_USE_CTABLE)
2035     ierr = PetscTableCreateCopy(oldmat->colmap,&a->colmap);CHKERRQ(ierr);
2036 #else
2037     ierr = PetscMalloc((a->Nbs)*sizeof(PetscInt),&a->colmap);CHKERRQ(ierr);
2038     ierr = PetscLogObjectMemory(mat,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2039     ierr = PetscMemcpy(a->colmap,oldmat->colmap,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
2040 #endif
2041   } else a->colmap = 0;
2042 
2043   if (oldmat->garray && (len = ((Mat_SeqBAIJ*)(oldmat->B->data))->nbs)) {
2044     ierr = PetscMalloc(len*sizeof(PetscInt),&a->garray);CHKERRQ(ierr);
2045     ierr = PetscLogObjectMemory(mat,len*sizeof(PetscInt));CHKERRQ(ierr);
2046     ierr = PetscMemcpy(a->garray,oldmat->garray,len*sizeof(PetscInt));CHKERRQ(ierr);
2047   } else a->garray = 0;
2048 
2049   ierr =  VecDuplicate(oldmat->lvec,&a->lvec);CHKERRQ(ierr);
2050   ierr = PetscLogObjectParent(mat,a->lvec);CHKERRQ(ierr);
2051   ierr =  VecScatterCopy(oldmat->Mvctx,&a->Mvctx);CHKERRQ(ierr);
2052   ierr = PetscLogObjectParent(mat,a->Mvctx);CHKERRQ(ierr);
2053 
2054   ierr =  VecDuplicate(oldmat->slvec0,&a->slvec0);CHKERRQ(ierr);
2055   ierr = PetscLogObjectParent(mat,a->slvec0);CHKERRQ(ierr);
2056   ierr =  VecDuplicate(oldmat->slvec1,&a->slvec1);CHKERRQ(ierr);
2057   ierr = PetscLogObjectParent(mat,a->slvec1);CHKERRQ(ierr);
2058 
2059   ierr = VecGetLocalSize(a->slvec1,&nt);CHKERRQ(ierr);
2060   ierr = VecGetArray(a->slvec1,&array);CHKERRQ(ierr);
2061   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,bs*mbs,array,&a->slvec1a);CHKERRQ(ierr);
2062   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,nt-bs*mbs,array+bs*mbs,&a->slvec1b);CHKERRQ(ierr);
2063   ierr = VecRestoreArray(a->slvec1,&array);CHKERRQ(ierr);
2064   ierr = VecGetArray(a->slvec0,&array);CHKERRQ(ierr);
2065   ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,nt-bs*mbs,array+bs*mbs,&a->slvec0b);CHKERRQ(ierr);
2066   ierr = VecRestoreArray(a->slvec0,&array);CHKERRQ(ierr);
2067   ierr = PetscLogObjectParent(mat,a->slvec0);CHKERRQ(ierr);
2068   ierr = PetscLogObjectParent(mat,a->slvec1);CHKERRQ(ierr);
2069   ierr = PetscLogObjectParent(mat,a->slvec0b);CHKERRQ(ierr);
2070   ierr = PetscLogObjectParent(mat,a->slvec1a);CHKERRQ(ierr);
2071   ierr = PetscLogObjectParent(mat,a->slvec1b);CHKERRQ(ierr);
2072 
2073   /* ierr =  VecScatterCopy(oldmat->sMvctx,&a->sMvctx); - not written yet, replaced by the lazy trick: */
2074   ierr = PetscObjectReference((PetscObject)oldmat->sMvctx);CHKERRQ(ierr);
2075   a->sMvctx = oldmat->sMvctx;
2076   ierr = PetscLogObjectParent(mat,a->sMvctx);CHKERRQ(ierr);
2077 
2078   ierr =  MatDuplicate(oldmat->A,cpvalues,&a->A);CHKERRQ(ierr);
2079   ierr = PetscLogObjectParent(mat,a->A);CHKERRQ(ierr);
2080   ierr =  MatDuplicate(oldmat->B,cpvalues,&a->B);CHKERRQ(ierr);
2081   ierr = PetscLogObjectParent(mat,a->B);CHKERRQ(ierr);
2082   ierr = PetscFListDuplicate(((PetscObject)matin)->qlist,&((PetscObject)mat)->qlist);CHKERRQ(ierr);
2083   *newmat = mat;
2084   PetscFunctionReturn(0);
2085 }
2086 
2087 #include "petscsys.h"
2088 
2089 #undef __FUNCT__
2090 #define __FUNCT__ "MatLoad_MPISBAIJ"
2091 PetscErrorCode MatLoad_MPISBAIJ(PetscViewer viewer, const MatType type,Mat *newmat)
2092 {
2093   Mat            A;
2094   PetscErrorCode ierr;
2095   PetscInt       i,nz,j,rstart,rend;
2096   PetscScalar    *vals,*buf;
2097   MPI_Comm       comm = ((PetscObject)viewer)->comm;
2098   MPI_Status     status;
2099   PetscMPIInt    rank,size,tag = ((PetscObject)viewer)->tag,*sndcounts = 0,*browners,maxnz,*rowners,*locrowlens,mmbs;
2100   PetscInt       header[4],*rowlengths = 0,M,N,m,*cols;
2101   PetscInt       *procsnz = 0,jj,*mycols,*ibuf;
2102   PetscInt       bs=1,Mbs,mbs,extra_rows;
2103   PetscInt       *dlens,*odlens,*mask,*masked1,*masked2,rowcount,odcount;
2104   PetscInt       dcount,kmax,k,nzcount,tmp;
2105   int            fd;
2106 
2107   PetscFunctionBegin;
2108   ierr = PetscOptionsBegin(comm,PETSC_NULL,"Options for loading MPISBAIJ matrix 2","Mat");CHKERRQ(ierr);
2109     ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,PETSC_NULL);CHKERRQ(ierr);
2110   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2111 
2112   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2113   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
2114   if (!rank) {
2115     ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
2116     ierr = PetscBinaryRead(fd,(char *)header,4,PETSC_INT);CHKERRQ(ierr);
2117     if (header[0] != MAT_FILE_COOKIE) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
2118     if (header[3] < 0) {
2119       SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as MPISBAIJ");
2120     }
2121   }
2122 
2123   ierr = MPI_Bcast(header+1,3,MPIU_INT,0,comm);CHKERRQ(ierr);
2124   M = header[1]; N = header[2];
2125 
2126   if (M != N) SETERRQ(PETSC_ERR_SUP,"Can only do square matrices");
2127 
2128   /*
2129      This code adds extra rows to make sure the number of rows is
2130      divisible by the blocksize
2131   */
2132   Mbs        = M/bs;
2133   extra_rows = bs - M + bs*(Mbs);
2134   if (extra_rows == bs) extra_rows = 0;
2135   else                  Mbs++;
2136   if (extra_rows &&!rank) {
2137     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
2138   }
2139 
2140   /* determine ownership of all rows */
2141   mbs        = Mbs/size + ((Mbs % size) > rank);
2142   m          = mbs*bs;
2143   ierr       = PetscMalloc(2*(size+2)*sizeof(PetscMPIInt),&rowners);CHKERRQ(ierr);
2144   browners   = rowners + size + 1;
2145   mmbs       = PetscMPIIntCast(mbs);
2146   ierr       = MPI_Allgather(&mmbs,1,MPI_INT,rowners+1,1,MPI_INT,comm);CHKERRQ(ierr);
2147   rowners[0] = 0;
2148   for (i=2; i<=size; i++) rowners[i] += rowners[i-1];
2149   for (i=0; i<=size;  i++) browners[i] = rowners[i]*bs;
2150   rstart = rowners[rank];
2151   rend   = rowners[rank+1];
2152 
2153   /* distribute row lengths to all processors */
2154   ierr = PetscMalloc((rend-rstart)*bs*sizeof(PetscMPIInt),&locrowlens);CHKERRQ(ierr);
2155   if (!rank) {
2156     ierr = PetscMalloc((M+extra_rows)*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
2157     ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
2158     for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
2159     ierr = PetscMalloc(size*sizeof(PetscMPIInt),&sndcounts);CHKERRQ(ierr);
2160     for (i=0; i<size; i++) sndcounts[i] = browners[i+1] - browners[i];
2161     ierr = MPI_Scatterv(rowlengths,sndcounts,browners,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2162     ierr = PetscFree(sndcounts);CHKERRQ(ierr);
2163   } else {
2164     ierr = MPI_Scatterv(0,0,0,MPIU_INT,locrowlens,(rend-rstart)*bs,MPIU_INT,0,comm);CHKERRQ(ierr);
2165   }
2166 
2167   if (!rank) {   /* procs[0] */
2168     /* calculate the number of nonzeros on each processor */
2169     ierr = PetscMalloc(size*sizeof(PetscInt),&procsnz);CHKERRQ(ierr);
2170     ierr = PetscMemzero(procsnz,size*sizeof(PetscInt));CHKERRQ(ierr);
2171     for (i=0; i<size; i++) {
2172       for (j=rowners[i]*bs; j< rowners[i+1]*bs; j++) {
2173         procsnz[i] += rowlengths[j];
2174       }
2175     }
2176     ierr = PetscFree(rowlengths);CHKERRQ(ierr);
2177 
2178     /* determine max buffer needed and allocate it */
2179     maxnz = 0;
2180     for (i=0; i<size; i++) {
2181       maxnz = PetscMax(maxnz,procsnz[i]);
2182     }
2183     ierr = PetscMalloc(maxnz*sizeof(PetscInt),&cols);CHKERRQ(ierr);
2184 
2185     /* read in my part of the matrix column indices  */
2186     nz     = procsnz[0];
2187     ierr   = PetscMalloc(nz*sizeof(PetscInt),&ibuf);CHKERRQ(ierr);
2188     mycols = ibuf;
2189     if (size == 1)  nz -= extra_rows;
2190     ierr = PetscBinaryRead(fd,mycols,nz,PETSC_INT);CHKERRQ(ierr);
2191     if (size == 1)  for (i=0; i< extra_rows; i++) { mycols[nz+i] = M+i; }
2192 
2193     /* read in every ones (except the last) and ship off */
2194     for (i=1; i<size-1; i++) {
2195       nz   = procsnz[i];
2196       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2197       ierr = MPI_Send(cols,nz,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
2198     }
2199     /* read in the stuff for the last proc */
2200     if (size != 1) {
2201       nz   = procsnz[size-1] - extra_rows;  /* the extra rows are not on the disk */
2202       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
2203       for (i=0; i<extra_rows; i++) cols[nz+i] = M+i;
2204       ierr = MPI_Send(cols,nz+extra_rows,MPIU_INT,size-1,tag,comm);CHKERRQ(ierr);
2205     }
2206     ierr = PetscFree(cols);CHKERRQ(ierr);
2207   } else {  /* procs[i], i>0 */
2208     /* determine buffer space needed for message */
2209     nz = 0;
2210     for (i=0; i<m; i++) {
2211       nz += locrowlens[i];
2212     }
2213     ierr   = PetscMalloc(nz*sizeof(PetscInt),&ibuf);CHKERRQ(ierr);
2214     mycols = ibuf;
2215     /* receive message of column indices*/
2216     ierr = MPI_Recv(mycols,nz,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
2217     ierr = MPI_Get_count(&status,MPIU_INT,&maxnz);CHKERRQ(ierr);
2218     if (maxnz != nz) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2219   }
2220 
2221   /* loop over local rows, determining number of off diagonal entries */
2222   ierr     = PetscMalloc(2*(rend-rstart+1)*sizeof(PetscInt),&dlens);CHKERRQ(ierr);
2223   odlens   = dlens + (rend-rstart);
2224   ierr     = PetscMalloc(3*Mbs*sizeof(PetscInt),&mask);CHKERRQ(ierr);
2225   ierr     = PetscMemzero(mask,3*Mbs*sizeof(PetscInt));CHKERRQ(ierr);
2226   masked1  = mask    + Mbs;
2227   masked2  = masked1 + Mbs;
2228   rowcount = 0; nzcount = 0;
2229   for (i=0; i<mbs; i++) {
2230     dcount  = 0;
2231     odcount = 0;
2232     for (j=0; j<bs; j++) {
2233       kmax = locrowlens[rowcount];
2234       for (k=0; k<kmax; k++) {
2235         tmp = mycols[nzcount++]/bs; /* block col. index */
2236         if (!mask[tmp]) {
2237           mask[tmp] = 1;
2238           if (tmp < rstart || tmp >= rend) masked2[odcount++] = tmp; /* entry in off-diag portion */
2239           else masked1[dcount++] = tmp; /* entry in diag portion */
2240         }
2241       }
2242       rowcount++;
2243     }
2244 
2245     dlens[i]  = dcount;  /* d_nzz[i] */
2246     odlens[i] = odcount; /* o_nzz[i] */
2247 
2248     /* zero out the mask elements we set */
2249     for (j=0; j<dcount; j++) mask[masked1[j]] = 0;
2250     for (j=0; j<odcount; j++) mask[masked2[j]] = 0;
2251   }
2252 
2253   /* create our matrix */
2254   ierr = MatCreate(comm,&A);CHKERRQ(ierr);
2255   ierr = MatSetSizes(A,m,m,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2256   ierr = MatSetType(A,type);CHKERRQ(ierr);
2257   ierr = MatMPISBAIJSetPreallocation(A,bs,0,dlens,0,odlens);CHKERRQ(ierr);
2258 
2259   if (!rank) {
2260     ierr = PetscMalloc(maxnz*sizeof(PetscScalar),&buf);CHKERRQ(ierr);
2261     /* read in my part of the matrix numerical values  */
2262     nz = procsnz[0];
2263     vals = buf;
2264     mycols = ibuf;
2265     if (size == 1)  nz -= extra_rows;
2266     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2267     if (size == 1)  for (i=0; i< extra_rows; i++) { vals[nz+i] = 1.0; }
2268 
2269     /* insert into matrix */
2270     jj      = rstart*bs;
2271     for (i=0; i<m; i++) {
2272       ierr = MatSetValues(A,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2273       mycols += locrowlens[i];
2274       vals   += locrowlens[i];
2275       jj++;
2276     }
2277 
2278     /* read in other processors (except the last one) and ship out */
2279     for (i=1; i<size-1; i++) {
2280       nz   = procsnz[i];
2281       vals = buf;
2282       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2283       ierr = MPI_Send(vals,nz,MPIU_SCALAR,i,((PetscObject)A)->tag,comm);CHKERRQ(ierr);
2284     }
2285     /* the last proc */
2286     if (size != 1){
2287       nz   = procsnz[i] - extra_rows;
2288       vals = buf;
2289       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
2290       for (i=0; i<extra_rows; i++) vals[nz+i] = 1.0;
2291       ierr = MPI_Send(vals,nz+extra_rows,MPIU_SCALAR,size-1,((PetscObject)A)->tag,comm);CHKERRQ(ierr);
2292     }
2293     ierr = PetscFree(procsnz);CHKERRQ(ierr);
2294 
2295   } else {
2296     /* receive numeric values */
2297     ierr = PetscMalloc(nz*sizeof(PetscScalar),&buf);CHKERRQ(ierr);
2298 
2299     /* receive message of values*/
2300     vals   = buf;
2301     mycols = ibuf;
2302     ierr   = MPI_Recv(vals,nz,MPIU_SCALAR,0,((PetscObject)A)->tag,comm,&status);CHKERRQ(ierr);
2303     ierr   = MPI_Get_count(&status,MPIU_SCALAR,&maxnz);CHKERRQ(ierr);
2304     if (maxnz != nz) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
2305 
2306     /* insert into matrix */
2307     jj      = rstart*bs;
2308     for (i=0; i<m; i++) {
2309       ierr    = MatSetValues_MPISBAIJ(A,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
2310       mycols += locrowlens[i];
2311       vals   += locrowlens[i];
2312       jj++;
2313     }
2314   }
2315 
2316   ierr = PetscFree(locrowlens);CHKERRQ(ierr);
2317   ierr = PetscFree(buf);CHKERRQ(ierr);
2318   ierr = PetscFree(ibuf);CHKERRQ(ierr);
2319   ierr = PetscFree(rowners);CHKERRQ(ierr);
2320   ierr = PetscFree(dlens);CHKERRQ(ierr);
2321   ierr = PetscFree(mask);CHKERRQ(ierr);
2322   ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2323   ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2324   *newmat = A;
2325   PetscFunctionReturn(0);
2326 }
2327 
2328 #undef __FUNCT__
2329 #define __FUNCT__ "MatMPISBAIJSetHashTableFactor"
2330 /*XXXXX@
2331    MatMPISBAIJSetHashTableFactor - Sets the factor required to compute the size of the HashTable.
2332 
2333    Input Parameters:
2334 .  mat  - the matrix
2335 .  fact - factor
2336 
2337    Collective on Mat
2338 
2339    Level: advanced
2340 
2341   Notes:
2342    This can also be set by the command line option: -mat_use_hash_table fact
2343 
2344 .keywords: matrix, hashtable, factor, HT
2345 
2346 .seealso: MatSetOption()
2347 @XXXXX*/
2348 
2349 
2350 #undef __FUNCT__
2351 #define __FUNCT__ "MatGetRowMaxAbs_MPISBAIJ"
2352 PetscErrorCode MatGetRowMaxAbs_MPISBAIJ(Mat A,Vec v,PetscInt idx[])
2353 {
2354   Mat_MPISBAIJ   *a = (Mat_MPISBAIJ*)A->data;
2355   Mat_SeqBAIJ    *b = (Mat_SeqBAIJ*)(a->B)->data;
2356   PetscReal      atmp;
2357   PetscReal      *work,*svalues,*rvalues;
2358   PetscErrorCode ierr;
2359   PetscInt       i,bs,mbs,*bi,*bj,brow,j,ncols,krow,kcol,col,row,Mbs,bcol;
2360   PetscMPIInt    rank,size;
2361   PetscInt       *rowners_bs,dest,count,source;
2362   PetscScalar    *va;
2363   MatScalar      *ba;
2364   MPI_Status     stat;
2365 
2366   PetscFunctionBegin;
2367   if (idx) SETERRQ(PETSC_ERR_SUP,"Send email to petsc-maint@mcs.anl.gov");
2368   ierr = MatGetRowMaxAbs(a->A,v,PETSC_NULL);CHKERRQ(ierr);
2369   ierr = VecGetArray(v,&va);CHKERRQ(ierr);
2370 
2371   ierr = MPI_Comm_size(((PetscObject)A)->comm,&size);CHKERRQ(ierr);
2372   ierr = MPI_Comm_rank(((PetscObject)A)->comm,&rank);CHKERRQ(ierr);
2373 
2374   bs   = A->rmap->bs;
2375   mbs  = a->mbs;
2376   Mbs  = a->Mbs;
2377   ba   = b->a;
2378   bi   = b->i;
2379   bj   = b->j;
2380 
2381   /* find ownerships */
2382   rowners_bs = A->rmap->range;
2383 
2384   /* each proc creates an array to be distributed */
2385   ierr = PetscMalloc(bs*Mbs*sizeof(PetscReal),&work);CHKERRQ(ierr);
2386   ierr = PetscMemzero(work,bs*Mbs*sizeof(PetscReal));CHKERRQ(ierr);
2387 
2388   /* row_max for B */
2389   if (rank != size-1){
2390     for (i=0; i<mbs; i++) {
2391       ncols = bi[1] - bi[0]; bi++;
2392       brow  = bs*i;
2393       for (j=0; j<ncols; j++){
2394         bcol = bs*(*bj);
2395         for (kcol=0; kcol<bs; kcol++){
2396           col = bcol + kcol;                 /* local col index */
2397           col += rowners_bs[rank+1];      /* global col index */
2398           for (krow=0; krow<bs; krow++){
2399             atmp = PetscAbsScalar(*ba); ba++;
2400             row = brow + krow;    /* local row index */
2401             if (PetscRealPart(va[row]) < atmp) va[row] = atmp;
2402             if (work[col] < atmp) work[col] = atmp;
2403           }
2404         }
2405         bj++;
2406       }
2407     }
2408 
2409     /* send values to its owners */
2410     for (dest=rank+1; dest<size; dest++){
2411       svalues = work + rowners_bs[dest];
2412       count   = rowners_bs[dest+1]-rowners_bs[dest];
2413       ierr    = MPI_Send(svalues,count,MPIU_REAL,dest,rank,((PetscObject)A)->comm);CHKERRQ(ierr);
2414     }
2415   }
2416 
2417   /* receive values */
2418   if (rank){
2419     rvalues = work;
2420     count   = rowners_bs[rank+1]-rowners_bs[rank];
2421     for (source=0; source<rank; source++){
2422       ierr = MPI_Recv(rvalues,count,MPIU_REAL,MPI_ANY_SOURCE,MPI_ANY_TAG,((PetscObject)A)->comm,&stat);CHKERRQ(ierr);
2423       /* process values */
2424       for (i=0; i<count; i++){
2425         if (PetscRealPart(va[i]) < rvalues[i]) va[i] = rvalues[i];
2426       }
2427     }
2428   }
2429 
2430   ierr = VecRestoreArray(v,&va);CHKERRQ(ierr);
2431   ierr = PetscFree(work);CHKERRQ(ierr);
2432   PetscFunctionReturn(0);
2433 }
2434 
2435 #undef __FUNCT__
2436 #define __FUNCT__ "MatRelax_MPISBAIJ"
2437 PetscErrorCode MatRelax_MPISBAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2438 {
2439   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
2440   PetscErrorCode ierr;
2441   PetscInt       mbs=mat->mbs,bs=matin->rmap->bs;
2442   PetscScalar    *x,*b,*ptr,zero=0.0;
2443   Vec            bb1;
2444 
2445   PetscFunctionBegin;
2446   if (its <= 0 || lits <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
2447   if (bs > 1)
2448     SETERRQ(PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2449 
2450   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP){
2451     if ( flag & SOR_ZERO_INITIAL_GUESS ) {
2452       ierr = (*mat->A->ops->relax)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2453       its--;
2454     }
2455 
2456     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2457     while (its--){
2458 
2459       /* lower triangular part: slvec0b = - B^T*xx */
2460       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,mat->slvec0b);CHKERRQ(ierr);
2461 
2462       /* copy xx into slvec0a */
2463       ierr = VecGetArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2464       ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
2465       ierr = PetscMemcpy(ptr,x,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2466       ierr = VecRestoreArray(mat->slvec0,&ptr);CHKERRQ(ierr);
2467 
2468       ierr = VecScale(mat->slvec0,-1.0);CHKERRQ(ierr);
2469 
2470       /* copy bb into slvec1a */
2471       ierr = VecGetArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2472       ierr = VecGetArray(bb,&b);CHKERRQ(ierr);
2473       ierr = PetscMemcpy(ptr,b,bs*mbs*sizeof(MatScalar));CHKERRQ(ierr);
2474       ierr = VecRestoreArray(mat->slvec1,&ptr);CHKERRQ(ierr);
2475 
2476       /* set slvec1b = 0 */
2477       ierr = VecSet(mat->slvec1b,zero);CHKERRQ(ierr);
2478 
2479       ierr = VecScatterBegin(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2480       ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
2481       ierr = VecRestoreArray(bb,&b);CHKERRQ(ierr);
2482       ierr = VecScatterEnd(mat->sMvctx,mat->slvec0,mat->slvec1,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2483 
2484       /* upper triangular part: bb1 = bb1 - B*x */
2485       ierr = (*mat->B->ops->multadd)(mat->B,mat->slvec1b,mat->slvec1a,bb1);CHKERRQ(ierr);
2486 
2487       /* local diagonal sweep */
2488       ierr = (*mat->A->ops->relax)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
2489     }
2490     ierr = VecDestroy(bb1);CHKERRQ(ierr);
2491   } else {
2492     SETERRQ(PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
2493   }
2494   PetscFunctionReturn(0);
2495 }
2496 
2497 #undef __FUNCT__
2498 #define __FUNCT__ "MatRelax_MPISBAIJ_2comm"
2499 PetscErrorCode MatRelax_MPISBAIJ_2comm(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2500 {
2501   Mat_MPISBAIJ   *mat = (Mat_MPISBAIJ*)matin->data;
2502   PetscErrorCode ierr;
2503   Vec            lvec1,bb1;
2504 
2505   PetscFunctionBegin;
2506   if (its <= 0 || lits <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
2507   if (matin->rmap->bs > 1)
2508     SETERRQ(PETSC_ERR_SUP,"SSOR for block size > 1 is not yet implemented");
2509 
2510   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP){
2511     if ( flag & SOR_ZERO_INITIAL_GUESS ) {
2512       ierr = (*mat->A->ops->relax)(mat->A,bb,omega,flag,fshift,lits,lits,xx);CHKERRQ(ierr);
2513       its--;
2514     }
2515 
2516     ierr = VecDuplicate(mat->lvec,&lvec1);CHKERRQ(ierr);
2517     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2518     while (its--){
2519       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2520 
2521       /* lower diagonal part: bb1 = bb - B^T*xx */
2522       ierr = (*mat->B->ops->multtranspose)(mat->B,xx,lvec1);CHKERRQ(ierr);
2523       ierr = VecScale(lvec1,-1.0);CHKERRQ(ierr);
2524 
2525       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2526       ierr = VecCopy(bb,bb1);CHKERRQ(ierr);
2527       ierr = VecScatterBegin(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2528 
2529       /* upper diagonal part: bb1 = bb1 - B*x */
2530       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2531       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb1,bb1);CHKERRQ(ierr);
2532 
2533       ierr = VecScatterEnd(mat->Mvctx,lvec1,bb1,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2534 
2535       /* diagonal sweep */
2536       ierr = (*mat->A->ops->relax)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,lits,xx);CHKERRQ(ierr);
2537     }
2538     ierr = VecDestroy(lvec1);CHKERRQ(ierr);
2539     ierr = VecDestroy(bb1);CHKERRQ(ierr);
2540   } else {
2541     SETERRQ(PETSC_ERR_SUP,"MatSORType is not supported for SBAIJ matrix format");
2542   }
2543   PetscFunctionReturn(0);
2544 }
2545 
2546