xref: /petsc/src/mat/impls/baij/mpi/mpibaij.c (revision 772ec989c7718bb40cfbe6762601ac78951cc001)
1 
2 #include <../src/mat/impls/baij/mpi/mpibaij.h>   /*I  "petscmat.h"  I*/
3 #include <petscblaslapack.h>
4 #include <petscsf.h>
5 
6 extern PetscErrorCode MatSetUpMultiply_MPIBAIJ(Mat);
7 extern PetscErrorCode MatDisAssemble_MPIBAIJ(Mat);
8 extern PetscErrorCode MatGetValues_SeqBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt [],PetscScalar []);
9 extern PetscErrorCode MatSetValues_SeqBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt [],const PetscScalar [],InsertMode);
10 extern PetscErrorCode MatSetValuesBlocked_SeqBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
11 extern PetscErrorCode MatGetRow_SeqBAIJ(Mat,PetscInt,PetscInt*,PetscInt*[],PetscScalar*[]);
12 extern PetscErrorCode MatRestoreRow_SeqBAIJ(Mat,PetscInt,PetscInt*,PetscInt*[],PetscScalar*[]);
13 extern PetscErrorCode MatZeroRows_SeqBAIJ(Mat,PetscInt,const PetscInt[],PetscScalar,Vec,Vec);
14 
15 #undef __FUNCT__
16 #define __FUNCT__ "MatGetRowMaxAbs_MPIBAIJ"
17 PetscErrorCode MatGetRowMaxAbs_MPIBAIJ(Mat A,Vec v,PetscInt idx[])
18 {
19   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
20   PetscErrorCode ierr;
21   PetscInt       i,*idxb = 0;
22   PetscScalar    *va,*vb;
23   Vec            vtmp;
24 
25   PetscFunctionBegin;
26   ierr = MatGetRowMaxAbs(a->A,v,idx);CHKERRQ(ierr);
27   ierr = VecGetArray(v,&va);CHKERRQ(ierr);
28   if (idx) {
29     for (i=0; i<A->rmap->n; i++) {
30       if (PetscAbsScalar(va[i])) idx[i] += A->cmap->rstart;
31     }
32   }
33 
34   ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->n,&vtmp);CHKERRQ(ierr);
35   if (idx) {ierr = PetscMalloc1(A->rmap->n,&idxb);CHKERRQ(ierr);}
36   ierr = MatGetRowMaxAbs(a->B,vtmp,idxb);CHKERRQ(ierr);
37   ierr = VecGetArray(vtmp,&vb);CHKERRQ(ierr);
38 
39   for (i=0; i<A->rmap->n; i++) {
40     if (PetscAbsScalar(va[i]) < PetscAbsScalar(vb[i])) {
41       va[i] = vb[i];
42       if (idx) idx[i] = A->cmap->bs*a->garray[idxb[i]/A->cmap->bs] + (idxb[i] % A->cmap->bs);
43     }
44   }
45 
46   ierr = VecRestoreArray(v,&va);CHKERRQ(ierr);
47   ierr = VecRestoreArray(vtmp,&vb);CHKERRQ(ierr);
48   ierr = PetscFree(idxb);CHKERRQ(ierr);
49   ierr = VecDestroy(&vtmp);CHKERRQ(ierr);
50   PetscFunctionReturn(0);
51 }
52 
53 #undef __FUNCT__
54 #define __FUNCT__ "MatStoreValues_MPIBAIJ"
55 PetscErrorCode  MatStoreValues_MPIBAIJ(Mat mat)
56 {
57   Mat_MPIBAIJ    *aij = (Mat_MPIBAIJ*)mat->data;
58   PetscErrorCode ierr;
59 
60   PetscFunctionBegin;
61   ierr = MatStoreValues(aij->A);CHKERRQ(ierr);
62   ierr = MatStoreValues(aij->B);CHKERRQ(ierr);
63   PetscFunctionReturn(0);
64 }
65 
66 #undef __FUNCT__
67 #define __FUNCT__ "MatRetrieveValues_MPIBAIJ"
68 PetscErrorCode  MatRetrieveValues_MPIBAIJ(Mat mat)
69 {
70   Mat_MPIBAIJ    *aij = (Mat_MPIBAIJ*)mat->data;
71   PetscErrorCode ierr;
72 
73   PetscFunctionBegin;
74   ierr = MatRetrieveValues(aij->A);CHKERRQ(ierr);
75   ierr = MatRetrieveValues(aij->B);CHKERRQ(ierr);
76   PetscFunctionReturn(0);
77 }
78 
79 /*
80      Local utility routine that creates a mapping from the global column
81    number to the local number in the off-diagonal part of the local
82    storage of the matrix.  This is done in a non scalable way since the
83    length of colmap equals the global matrix length.
84 */
85 #undef __FUNCT__
86 #define __FUNCT__ "MatCreateColmap_MPIBAIJ_Private"
87 PetscErrorCode MatCreateColmap_MPIBAIJ_Private(Mat mat)
88 {
89   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
90   Mat_SeqBAIJ    *B    = (Mat_SeqBAIJ*)baij->B->data;
91   PetscErrorCode ierr;
92   PetscInt       nbs = B->nbs,i,bs=mat->rmap->bs;
93 
94   PetscFunctionBegin;
95 #if defined(PETSC_USE_CTABLE)
96   ierr = PetscTableCreate(baij->nbs,baij->Nbs+1,&baij->colmap);CHKERRQ(ierr);
97   for (i=0; i<nbs; i++) {
98     ierr = PetscTableAdd(baij->colmap,baij->garray[i]+1,i*bs+1,INSERT_VALUES);CHKERRQ(ierr);
99   }
100 #else
101   ierr = PetscMalloc1((baij->Nbs+1),&baij->colmap);CHKERRQ(ierr);
102   ierr = PetscLogObjectMemory((PetscObject)mat,baij->Nbs*sizeof(PetscInt));CHKERRQ(ierr);
103   ierr = PetscMemzero(baij->colmap,baij->Nbs*sizeof(PetscInt));CHKERRQ(ierr);
104   for (i=0; i<nbs; i++) baij->colmap[baij->garray[i]] = i*bs+1;
105 #endif
106   PetscFunctionReturn(0);
107 }
108 
109 #define  MatSetValues_SeqBAIJ_A_Private(row,col,value,addv) \
110   { \
111  \
112     brow = row/bs;  \
113     rp   = aj + ai[brow]; ap = aa + bs2*ai[brow]; \
114     rmax = aimax[brow]; nrow = ailen[brow]; \
115     bcol = col/bs; \
116     ridx = row % bs; cidx = col % bs; \
117     low  = 0; high = nrow; \
118     while (high-low > 3) { \
119       t = (low+high)/2; \
120       if (rp[t] > bcol) high = t; \
121       else              low  = t; \
122     } \
123     for (_i=low; _i<high; _i++) { \
124       if (rp[_i] > bcol) break; \
125       if (rp[_i] == bcol) { \
126         bap = ap +  bs2*_i + bs*cidx + ridx; \
127         if (addv == ADD_VALUES) *bap += value;  \
128         else                    *bap  = value;  \
129         goto a_noinsert; \
130       } \
131     } \
132     if (a->nonew == 1) goto a_noinsert; \
133     if (a->nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", row, col); \
134     MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,aimax,a->nonew,MatScalar); \
135     N = nrow++ - 1;  \
136     /* shift up all the later entries in this row */ \
137     for (ii=N; ii>=_i; ii--) { \
138       rp[ii+1] = rp[ii]; \
139       ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
140     } \
141     if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr); }  \
142     rp[_i]                      = bcol;  \
143     ap[bs2*_i + bs*cidx + ridx] = value;  \
144 a_noinsert:; \
145     ailen[brow] = nrow; \
146   }
147 
148 #define  MatSetValues_SeqBAIJ_B_Private(row,col,value,addv) \
149   { \
150     brow = row/bs;  \
151     rp   = bj + bi[brow]; ap = ba + bs2*bi[brow]; \
152     rmax = bimax[brow]; nrow = bilen[brow]; \
153     bcol = col/bs; \
154     ridx = row % bs; cidx = col % bs; \
155     low  = 0; high = nrow; \
156     while (high-low > 3) { \
157       t = (low+high)/2; \
158       if (rp[t] > bcol) high = t; \
159       else              low  = t; \
160     } \
161     for (_i=low; _i<high; _i++) { \
162       if (rp[_i] > bcol) break; \
163       if (rp[_i] == bcol) { \
164         bap = ap +  bs2*_i + bs*cidx + ridx; \
165         if (addv == ADD_VALUES) *bap += value;  \
166         else                    *bap  = value;  \
167         goto b_noinsert; \
168       } \
169     } \
170     if (b->nonew == 1) goto b_noinsert; \
171     if (b->nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", row, col); \
172     MatSeqXAIJReallocateAIJ(B,b->mbs,bs2,nrow,brow,bcol,rmax,ba,bi,bj,rp,ap,bimax,b->nonew,MatScalar); \
173     N = nrow++ - 1;  \
174     /* shift up all the later entries in this row */ \
175     for (ii=N; ii>=_i; ii--) { \
176       rp[ii+1] = rp[ii]; \
177       ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
178     } \
179     if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr);}  \
180     rp[_i]                      = bcol;  \
181     ap[bs2*_i + bs*cidx + ridx] = value;  \
182 b_noinsert:; \
183     bilen[brow] = nrow; \
184   }
185 
186 #undef __FUNCT__
187 #define __FUNCT__ "MatSetValues_MPIBAIJ"
188 PetscErrorCode MatSetValues_MPIBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
189 {
190   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
191   MatScalar      value;
192   PetscBool      roworiented = baij->roworiented;
193   PetscErrorCode ierr;
194   PetscInt       i,j,row,col;
195   PetscInt       rstart_orig=mat->rmap->rstart;
196   PetscInt       rend_orig  =mat->rmap->rend,cstart_orig=mat->cmap->rstart;
197   PetscInt       cend_orig  =mat->cmap->rend,bs=mat->rmap->bs;
198 
199   /* Some Variables required in the macro */
200   Mat         A     = baij->A;
201   Mat_SeqBAIJ *a    = (Mat_SeqBAIJ*)(A)->data;
202   PetscInt    *aimax=a->imax,*ai=a->i,*ailen=a->ilen,*aj=a->j;
203   MatScalar   *aa   =a->a;
204 
205   Mat         B     = baij->B;
206   Mat_SeqBAIJ *b    = (Mat_SeqBAIJ*)(B)->data;
207   PetscInt    *bimax=b->imax,*bi=b->i,*bilen=b->ilen,*bj=b->j;
208   MatScalar   *ba   =b->a;
209 
210   PetscInt  *rp,ii,nrow,_i,rmax,N,brow,bcol;
211   PetscInt  low,high,t,ridx,cidx,bs2=a->bs2;
212   MatScalar *ap,*bap;
213 
214   PetscFunctionBegin;
215   for (i=0; i<m; i++) {
216     if (im[i] < 0) continue;
217 #if defined(PETSC_USE_DEBUG)
218     if (im[i] >= mat->rmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",im[i],mat->rmap->N-1);
219 #endif
220     if (im[i] >= rstart_orig && im[i] < rend_orig) {
221       row = im[i] - rstart_orig;
222       for (j=0; j<n; j++) {
223         if (in[j] >= cstart_orig && in[j] < cend_orig) {
224           col = in[j] - cstart_orig;
225           if (roworiented) value = v[i*n+j];
226           else             value = v[i+j*m];
227           MatSetValues_SeqBAIJ_A_Private(row,col,value,addv);
228           /* ierr = MatSetValues_SeqBAIJ(baij->A,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
229         } else if (in[j] < 0) continue;
230 #if defined(PETSC_USE_DEBUG)
231         else if (in[j] >= mat->cmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[j],mat->cmap->N-1);
232 #endif
233         else {
234           if (mat->was_assembled) {
235             if (!baij->colmap) {
236               ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
237             }
238 #if defined(PETSC_USE_CTABLE)
239             ierr = PetscTableFind(baij->colmap,in[j]/bs + 1,&col);CHKERRQ(ierr);
240             col  = col - 1;
241 #else
242             col = baij->colmap[in[j]/bs] - 1;
243 #endif
244             if (col < 0 && !((Mat_SeqBAIJ*)(baij->B->data))->nonew) {
245               ierr = MatDisAssemble_MPIBAIJ(mat);CHKERRQ(ierr);
246               col  =  in[j];
247               /* Reinitialize the variables required by MatSetValues_SeqBAIJ_B_Private() */
248               B    = baij->B;
249               b    = (Mat_SeqBAIJ*)(B)->data;
250               bimax=b->imax;bi=b->i;bilen=b->ilen;bj=b->j;
251               ba   =b->a;
252             } else if (col < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", im[i], in[j]);
253             else col += in[j]%bs;
254           } else col = in[j];
255           if (roworiented) value = v[i*n+j];
256           else             value = v[i+j*m];
257           MatSetValues_SeqBAIJ_B_Private(row,col,value,addv);
258           /* ierr = MatSetValues_SeqBAIJ(baij->B,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
259         }
260       }
261     } else {
262       if (mat->nooffprocentries) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Setting off process row %D even though MatSetOption(,MAT_NO_OFF_PROC_ENTRIES,PETSC_TRUE) was set",im[i]);
263       if (!baij->donotstash) {
264         mat->assembled = PETSC_FALSE;
265         if (roworiented) {
266           ierr = MatStashValuesRow_Private(&mat->stash,im[i],n,in,v+i*n,PETSC_FALSE);CHKERRQ(ierr);
267         } else {
268           ierr = MatStashValuesCol_Private(&mat->stash,im[i],n,in,v+i,m,PETSC_FALSE);CHKERRQ(ierr);
269         }
270       }
271     }
272   }
273   PetscFunctionReturn(0);
274 }
275 
276 #undef __FUNCT__
277 #define __FUNCT__ "MatSetValuesBlocked_MPIBAIJ"
278 PetscErrorCode MatSetValuesBlocked_MPIBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
279 {
280   Mat_MPIBAIJ       *baij = (Mat_MPIBAIJ*)mat->data;
281   const PetscScalar *value;
282   MatScalar         *barray     = baij->barray;
283   PetscBool         roworiented = baij->roworiented;
284   PetscErrorCode    ierr;
285   PetscInt          i,j,ii,jj,row,col,rstart=baij->rstartbs;
286   PetscInt          rend=baij->rendbs,cstart=baij->cstartbs,stepval;
287   PetscInt          cend=baij->cendbs,bs=mat->rmap->bs,bs2=baij->bs2;
288 
289   PetscFunctionBegin;
290   if (!barray) {
291     ierr         = PetscMalloc1(bs2,&barray);CHKERRQ(ierr);
292     baij->barray = barray;
293   }
294 
295   if (roworiented) stepval = (n-1)*bs;
296   else stepval = (m-1)*bs;
297 
298   for (i=0; i<m; i++) {
299     if (im[i] < 0) continue;
300 #if defined(PETSC_USE_DEBUG)
301     if (im[i] >= baij->Mbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large, row %D max %D",im[i],baij->Mbs-1);
302 #endif
303     if (im[i] >= rstart && im[i] < rend) {
304       row = im[i] - rstart;
305       for (j=0; j<n; j++) {
306         /* If NumCol = 1 then a copy is not required */
307         if ((roworiented) && (n == 1)) {
308           barray = (MatScalar*)v + i*bs2;
309         } else if ((!roworiented) && (m == 1)) {
310           barray = (MatScalar*)v + j*bs2;
311         } else { /* Here a copy is required */
312           if (roworiented) {
313             value = v + (i*(stepval+bs) + j)*bs;
314           } else {
315             value = v + (j*(stepval+bs) + i)*bs;
316           }
317           for (ii=0; ii<bs; ii++,value+=bs+stepval) {
318             for (jj=0; jj<bs; jj++) barray[jj] = value[jj];
319             barray += bs;
320           }
321           barray -= bs2;
322         }
323 
324         if (in[j] >= cstart && in[j] < cend) {
325           col  = in[j] - cstart;
326           ierr = MatSetValuesBlocked_SeqBAIJ(baij->A,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
327         } else if (in[j] < 0) continue;
328 #if defined(PETSC_USE_DEBUG)
329         else if (in[j] >= baij->Nbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large, col %D max %D",in[j],baij->Nbs-1);
330 #endif
331         else {
332           if (mat->was_assembled) {
333             if (!baij->colmap) {
334               ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
335             }
336 
337 #if defined(PETSC_USE_DEBUG)
338 #if defined(PETSC_USE_CTABLE)
339             { PetscInt data;
340               ierr = PetscTableFind(baij->colmap,in[j]+1,&data);CHKERRQ(ierr);
341               if ((data - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
342             }
343 #else
344             if ((baij->colmap[in[j]] - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
345 #endif
346 #endif
347 #if defined(PETSC_USE_CTABLE)
348             ierr = PetscTableFind(baij->colmap,in[j]+1,&col);CHKERRQ(ierr);
349             col  = (col - 1)/bs;
350 #else
351             col = (baij->colmap[in[j]] - 1)/bs;
352 #endif
353             if (col < 0 && !((Mat_SeqBAIJ*)(baij->B->data))->nonew) {
354               ierr = MatDisAssemble_MPIBAIJ(mat);CHKERRQ(ierr);
355               col  =  in[j];
356             } else if (col < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", bs*im[i], bs*in[j]);
357           } else col = in[j];
358           ierr = MatSetValuesBlocked_SeqBAIJ(baij->B,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
359         }
360       }
361     } else {
362       if (mat->nooffprocentries) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Setting off process row %D even though MatSetOption(,MAT_NO_OFF_PROC_ENTRIES,PETSC_TRUE) was set",im[i]);
363       if (!baij->donotstash) {
364         if (roworiented) {
365           ierr = MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
366         } else {
367           ierr = MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
368         }
369       }
370     }
371   }
372   PetscFunctionReturn(0);
373 }
374 
375 #define HASH_KEY 0.6180339887
376 #define HASH(size,key,tmp) (tmp = (key)*HASH_KEY,(PetscInt)((size)*(tmp-(PetscInt)tmp)))
377 /* #define HASH(size,key) ((PetscInt)((size)*fmod(((key)*HASH_KEY),1))) */
378 /* #define HASH(size,key,tmp) ((PetscInt)((size)*fmod(((key)*HASH_KEY),1))) */
379 #undef __FUNCT__
380 #define __FUNCT__ "MatSetValues_MPIBAIJ_HT"
381 PetscErrorCode MatSetValues_MPIBAIJ_HT(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
382 {
383   Mat_MPIBAIJ    *baij       = (Mat_MPIBAIJ*)mat->data;
384   PetscBool      roworiented = baij->roworiented;
385   PetscErrorCode ierr;
386   PetscInt       i,j,row,col;
387   PetscInt       rstart_orig=mat->rmap->rstart;
388   PetscInt       rend_orig  =mat->rmap->rend,Nbs=baij->Nbs;
389   PetscInt       h1,key,size=baij->ht_size,bs=mat->rmap->bs,*HT=baij->ht,idx;
390   PetscReal      tmp;
391   MatScalar      **HD = baij->hd,value;
392 #if defined(PETSC_USE_DEBUG)
393   PetscInt total_ct=baij->ht_total_ct,insert_ct=baij->ht_insert_ct;
394 #endif
395 
396   PetscFunctionBegin;
397   for (i=0; i<m; i++) {
398 #if defined(PETSC_USE_DEBUG)
399     if (im[i] < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row");
400     if (im[i] >= mat->rmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",im[i],mat->rmap->N-1);
401 #endif
402     row = im[i];
403     if (row >= rstart_orig && row < rend_orig) {
404       for (j=0; j<n; j++) {
405         col = in[j];
406         if (roworiented) value = v[i*n+j];
407         else             value = v[i+j*m];
408         /* Look up PetscInto the Hash Table */
409         key = (row/bs)*Nbs+(col/bs)+1;
410         h1  = HASH(size,key,tmp);
411 
412 
413         idx = h1;
414 #if defined(PETSC_USE_DEBUG)
415         insert_ct++;
416         total_ct++;
417         if (HT[idx] != key) {
418           for (idx=h1; (idx<size) && (HT[idx]!=key); idx++,total_ct++) ;
419           if (idx == size) {
420             for (idx=0; (idx<h1) && (HT[idx]!=key); idx++,total_ct++) ;
421             if (idx == h1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"(%D,%D) has no entry in the hash table", row, col);
422           }
423         }
424 #else
425         if (HT[idx] != key) {
426           for (idx=h1; (idx<size) && (HT[idx]!=key); idx++) ;
427           if (idx == size) {
428             for (idx=0; (idx<h1) && (HT[idx]!=key); idx++) ;
429             if (idx == h1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"(%D,%D) has no entry in the hash table", row, col);
430           }
431         }
432 #endif
433         /* A HASH table entry is found, so insert the values at the correct address */
434         if (addv == ADD_VALUES) *(HD[idx]+ (col % bs)*bs + (row % bs)) += value;
435         else                    *(HD[idx]+ (col % bs)*bs + (row % bs))  = value;
436       }
437     } else if (!baij->donotstash) {
438       if (roworiented) {
439         ierr = MatStashValuesRow_Private(&mat->stash,im[i],n,in,v+i*n,PETSC_FALSE);CHKERRQ(ierr);
440       } else {
441         ierr = MatStashValuesCol_Private(&mat->stash,im[i],n,in,v+i,m,PETSC_FALSE);CHKERRQ(ierr);
442       }
443     }
444   }
445 #if defined(PETSC_USE_DEBUG)
446   baij->ht_total_ct  = total_ct;
447   baij->ht_insert_ct = insert_ct;
448 #endif
449   PetscFunctionReturn(0);
450 }
451 
452 #undef __FUNCT__
453 #define __FUNCT__ "MatSetValuesBlocked_MPIBAIJ_HT"
454 PetscErrorCode MatSetValuesBlocked_MPIBAIJ_HT(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
455 {
456   Mat_MPIBAIJ       *baij       = (Mat_MPIBAIJ*)mat->data;
457   PetscBool         roworiented = baij->roworiented;
458   PetscErrorCode    ierr;
459   PetscInt          i,j,ii,jj,row,col;
460   PetscInt          rstart=baij->rstartbs;
461   PetscInt          rend  =mat->rmap->rend,stepval,bs=mat->rmap->bs,bs2=baij->bs2,nbs2=n*bs2;
462   PetscInt          h1,key,size=baij->ht_size,idx,*HT=baij->ht,Nbs=baij->Nbs;
463   PetscReal         tmp;
464   MatScalar         **HD = baij->hd,*baij_a;
465   const PetscScalar *v_t,*value;
466 #if defined(PETSC_USE_DEBUG)
467   PetscInt total_ct=baij->ht_total_ct,insert_ct=baij->ht_insert_ct;
468 #endif
469 
470   PetscFunctionBegin;
471   if (roworiented) stepval = (n-1)*bs;
472   else stepval = (m-1)*bs;
473 
474   for (i=0; i<m; i++) {
475 #if defined(PETSC_USE_DEBUG)
476     if (im[i] < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",im[i]);
477     if (im[i] >= baij->Mbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",im[i],baij->Mbs-1);
478 #endif
479     row = im[i];
480     v_t = v + i*nbs2;
481     if (row >= rstart && row < rend) {
482       for (j=0; j<n; j++) {
483         col = in[j];
484 
485         /* Look up into the Hash Table */
486         key = row*Nbs+col+1;
487         h1  = HASH(size,key,tmp);
488 
489         idx = h1;
490 #if defined(PETSC_USE_DEBUG)
491         total_ct++;
492         insert_ct++;
493         if (HT[idx] != key) {
494           for (idx=h1; (idx<size) && (HT[idx]!=key); idx++,total_ct++) ;
495           if (idx == size) {
496             for (idx=0; (idx<h1) && (HT[idx]!=key); idx++,total_ct++) ;
497             if (idx == h1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"(%D,%D) has no entry in the hash table", row, col);
498           }
499         }
500 #else
501         if (HT[idx] != key) {
502           for (idx=h1; (idx<size) && (HT[idx]!=key); idx++) ;
503           if (idx == size) {
504             for (idx=0; (idx<h1) && (HT[idx]!=key); idx++) ;
505             if (idx == h1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"(%D,%D) has no entry in the hash table", row, col);
506           }
507         }
508 #endif
509         baij_a = HD[idx];
510         if (roworiented) {
511           /*value = v + i*(stepval+bs)*bs + j*bs;*/
512           /* value = v + (i*(stepval+bs)+j)*bs; */
513           value = v_t;
514           v_t  += bs;
515           if (addv == ADD_VALUES) {
516             for (ii=0; ii<bs; ii++,value+=stepval) {
517               for (jj=ii; jj<bs2; jj+=bs) {
518                 baij_a[jj] += *value++;
519               }
520             }
521           } else {
522             for (ii=0; ii<bs; ii++,value+=stepval) {
523               for (jj=ii; jj<bs2; jj+=bs) {
524                 baij_a[jj] = *value++;
525               }
526             }
527           }
528         } else {
529           value = v + j*(stepval+bs)*bs + i*bs;
530           if (addv == ADD_VALUES) {
531             for (ii=0; ii<bs; ii++,value+=stepval,baij_a+=bs) {
532               for (jj=0; jj<bs; jj++) {
533                 baij_a[jj] += *value++;
534               }
535             }
536           } else {
537             for (ii=0; ii<bs; ii++,value+=stepval,baij_a+=bs) {
538               for (jj=0; jj<bs; jj++) {
539                 baij_a[jj] = *value++;
540               }
541             }
542           }
543         }
544       }
545     } else {
546       if (!baij->donotstash) {
547         if (roworiented) {
548           ierr = MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
549         } else {
550           ierr = MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
551         }
552       }
553     }
554   }
555 #if defined(PETSC_USE_DEBUG)
556   baij->ht_total_ct  = total_ct;
557   baij->ht_insert_ct = insert_ct;
558 #endif
559   PetscFunctionReturn(0);
560 }
561 
562 #undef __FUNCT__
563 #define __FUNCT__ "MatGetValues_MPIBAIJ"
564 PetscErrorCode MatGetValues_MPIBAIJ(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],PetscScalar v[])
565 {
566   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
567   PetscErrorCode ierr;
568   PetscInt       bs       = mat->rmap->bs,i,j,bsrstart = mat->rmap->rstart,bsrend = mat->rmap->rend;
569   PetscInt       bscstart = mat->cmap->rstart,bscend = mat->cmap->rend,row,col,data;
570 
571   PetscFunctionBegin;
572   for (i=0; i<m; i++) {
573     if (idxm[i] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",idxm[i]);*/
574     if (idxm[i] >= mat->rmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",idxm[i],mat->rmap->N-1);
575     if (idxm[i] >= bsrstart && idxm[i] < bsrend) {
576       row = idxm[i] - bsrstart;
577       for (j=0; j<n; j++) {
578         if (idxn[j] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column: %D",idxn[j]); */
579         if (idxn[j] >= mat->cmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",idxn[j],mat->cmap->N-1);
580         if (idxn[j] >= bscstart && idxn[j] < bscend) {
581           col  = idxn[j] - bscstart;
582           ierr = MatGetValues_SeqBAIJ(baij->A,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
583         } else {
584           if (!baij->colmap) {
585             ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
586           }
587 #if defined(PETSC_USE_CTABLE)
588           ierr = PetscTableFind(baij->colmap,idxn[j]/bs+1,&data);CHKERRQ(ierr);
589           data--;
590 #else
591           data = baij->colmap[idxn[j]/bs]-1;
592 #endif
593           if ((data < 0) || (baij->garray[data/bs] != idxn[j]/bs)) *(v+i*n+j) = 0.0;
594           else {
595             col  = data + idxn[j]%bs;
596             ierr = MatGetValues_SeqBAIJ(baij->B,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
597           }
598         }
599       }
600     } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local values currently supported");
601   }
602   PetscFunctionReturn(0);
603 }
604 
605 #undef __FUNCT__
606 #define __FUNCT__ "MatNorm_MPIBAIJ"
607 PetscErrorCode MatNorm_MPIBAIJ(Mat mat,NormType type,PetscReal *nrm)
608 {
609   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
610   Mat_SeqBAIJ    *amat = (Mat_SeqBAIJ*)baij->A->data,*bmat = (Mat_SeqBAIJ*)baij->B->data;
611   PetscErrorCode ierr;
612   PetscInt       i,j,bs2=baij->bs2,bs=baij->A->rmap->bs,nz,row,col;
613   PetscReal      sum = 0.0;
614   MatScalar      *v;
615 
616   PetscFunctionBegin;
617   if (baij->size == 1) {
618     ierr =  MatNorm(baij->A,type,nrm);CHKERRQ(ierr);
619   } else {
620     if (type == NORM_FROBENIUS) {
621       v  = amat->a;
622       nz = amat->nz*bs2;
623       for (i=0; i<nz; i++) {
624         sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
625       }
626       v  = bmat->a;
627       nz = bmat->nz*bs2;
628       for (i=0; i<nz; i++) {
629         sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
630       }
631       ierr = MPI_Allreduce(&sum,nrm,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
632       *nrm = PetscSqrtReal(*nrm);
633     } else if (type == NORM_1) { /* max column sum */
634       PetscReal *tmp,*tmp2;
635       PetscInt  *jj,*garray=baij->garray,cstart=baij->rstartbs;
636       ierr = PetscMalloc2(mat->cmap->N,&tmp,mat->cmap->N,&tmp2);CHKERRQ(ierr);
637       ierr = PetscMemzero(tmp,mat->cmap->N*sizeof(PetscReal));CHKERRQ(ierr);
638       v    = amat->a; jj = amat->j;
639       for (i=0; i<amat->nz; i++) {
640         for (j=0; j<bs; j++) {
641           col = bs*(cstart + *jj) + j; /* column index */
642           for (row=0; row<bs; row++) {
643             tmp[col] += PetscAbsScalar(*v);  v++;
644           }
645         }
646         jj++;
647       }
648       v = bmat->a; jj = bmat->j;
649       for (i=0; i<bmat->nz; i++) {
650         for (j=0; j<bs; j++) {
651           col = bs*garray[*jj] + j;
652           for (row=0; row<bs; row++) {
653             tmp[col] += PetscAbsScalar(*v); v++;
654           }
655         }
656         jj++;
657       }
658       ierr = MPI_Allreduce(tmp,tmp2,mat->cmap->N,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
659       *nrm = 0.0;
660       for (j=0; j<mat->cmap->N; j++) {
661         if (tmp2[j] > *nrm) *nrm = tmp2[j];
662       }
663       ierr = PetscFree2(tmp,tmp2);CHKERRQ(ierr);
664     } else if (type == NORM_INFINITY) { /* max row sum */
665       PetscReal *sums;
666       ierr = PetscMalloc1(bs,&sums);CHKERRQ(ierr);
667       sum  = 0.0;
668       for (j=0; j<amat->mbs; j++) {
669         for (row=0; row<bs; row++) sums[row] = 0.0;
670         v  = amat->a + bs2*amat->i[j];
671         nz = amat->i[j+1]-amat->i[j];
672         for (i=0; i<nz; i++) {
673           for (col=0; col<bs; col++) {
674             for (row=0; row<bs; row++) {
675               sums[row] += PetscAbsScalar(*v); v++;
676             }
677           }
678         }
679         v  = bmat->a + bs2*bmat->i[j];
680         nz = bmat->i[j+1]-bmat->i[j];
681         for (i=0; i<nz; i++) {
682           for (col=0; col<bs; col++) {
683             for (row=0; row<bs; row++) {
684               sums[row] += PetscAbsScalar(*v); v++;
685             }
686           }
687         }
688         for (row=0; row<bs; row++) {
689           if (sums[row] > sum) sum = sums[row];
690         }
691       }
692       ierr = MPI_Allreduce(&sum,nrm,1,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
693       ierr = PetscFree(sums);CHKERRQ(ierr);
694     } else SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"No support for this norm yet");
695   }
696   PetscFunctionReturn(0);
697 }
698 
699 /*
700   Creates the hash table, and sets the table
701   This table is created only once.
702   If new entried need to be added to the matrix
703   then the hash table has to be destroyed and
704   recreated.
705 */
706 #undef __FUNCT__
707 #define __FUNCT__ "MatCreateHashTable_MPIBAIJ_Private"
708 PetscErrorCode MatCreateHashTable_MPIBAIJ_Private(Mat mat,PetscReal factor)
709 {
710   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
711   Mat            A     = baij->A,B=baij->B;
712   Mat_SeqBAIJ    *a    = (Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ*)B->data;
713   PetscInt       i,j,k,nz=a->nz+b->nz,h1,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j;
714   PetscErrorCode ierr;
715   PetscInt       ht_size,bs2=baij->bs2,rstart=baij->rstartbs;
716   PetscInt       cstart=baij->cstartbs,*garray=baij->garray,row,col,Nbs=baij->Nbs;
717   PetscInt       *HT,key;
718   MatScalar      **HD;
719   PetscReal      tmp;
720 #if defined(PETSC_USE_INFO)
721   PetscInt ct=0,max=0;
722 #endif
723 
724   PetscFunctionBegin;
725   if (baij->ht) PetscFunctionReturn(0);
726 
727   baij->ht_size = (PetscInt)(factor*nz);
728   ht_size       = baij->ht_size;
729 
730   /* Allocate Memory for Hash Table */
731   ierr = PetscCalloc2(ht_size,&baij->hd,ht_size,&baij->ht);CHKERRQ(ierr);
732   HD   = baij->hd;
733   HT   = baij->ht;
734 
735   /* Loop Over A */
736   for (i=0; i<a->mbs; i++) {
737     for (j=ai[i]; j<ai[i+1]; j++) {
738       row = i+rstart;
739       col = aj[j]+cstart;
740 
741       key = row*Nbs + col + 1;
742       h1  = HASH(ht_size,key,tmp);
743       for (k=0; k<ht_size; k++) {
744         if (!HT[(h1+k)%ht_size]) {
745           HT[(h1+k)%ht_size] = key;
746           HD[(h1+k)%ht_size] = a->a + j*bs2;
747           break;
748 #if defined(PETSC_USE_INFO)
749         } else {
750           ct++;
751 #endif
752         }
753       }
754 #if defined(PETSC_USE_INFO)
755       if (k> max) max = k;
756 #endif
757     }
758   }
759   /* Loop Over B */
760   for (i=0; i<b->mbs; i++) {
761     for (j=bi[i]; j<bi[i+1]; j++) {
762       row = i+rstart;
763       col = garray[bj[j]];
764       key = row*Nbs + col + 1;
765       h1  = HASH(ht_size,key,tmp);
766       for (k=0; k<ht_size; k++) {
767         if (!HT[(h1+k)%ht_size]) {
768           HT[(h1+k)%ht_size] = key;
769           HD[(h1+k)%ht_size] = b->a + j*bs2;
770           break;
771 #if defined(PETSC_USE_INFO)
772         } else {
773           ct++;
774 #endif
775         }
776       }
777 #if defined(PETSC_USE_INFO)
778       if (k> max) max = k;
779 #endif
780     }
781   }
782 
783   /* Print Summary */
784 #if defined(PETSC_USE_INFO)
785   for (i=0,j=0; i<ht_size; i++) {
786     if (HT[i]) j++;
787   }
788   ierr = PetscInfo2(mat,"Average Search = %5.2f,max search = %D\n",(!j)? 0.0:((PetscReal)(ct+j))/j,max);CHKERRQ(ierr);
789 #endif
790   PetscFunctionReturn(0);
791 }
792 
793 #undef __FUNCT__
794 #define __FUNCT__ "MatAssemblyBegin_MPIBAIJ"
795 PetscErrorCode MatAssemblyBegin_MPIBAIJ(Mat mat,MatAssemblyType mode)
796 {
797   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
798   PetscErrorCode ierr;
799   PetscInt       nstash,reallocs;
800   InsertMode     addv;
801 
802   PetscFunctionBegin;
803   if (baij->donotstash || mat->nooffprocentries) PetscFunctionReturn(0);
804 
805   /* make sure all processors are either in INSERTMODE or ADDMODE */
806   ierr = MPI_Allreduce((PetscEnum*)&mat->insertmode,(PetscEnum*)&addv,1,MPIU_ENUM,MPI_BOR,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
807   if (addv == (ADD_VALUES|INSERT_VALUES)) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Some processors inserted others added");
808   mat->insertmode = addv; /* in case this processor had no cache */
809 
810   ierr = MatStashScatterBegin_Private(mat,&mat->stash,mat->rmap->range);CHKERRQ(ierr);
811   ierr = MatStashScatterBegin_Private(mat,&mat->bstash,baij->rangebs);CHKERRQ(ierr);
812   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
813   ierr = PetscInfo2(mat,"Stash has %D entries,uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
814   ierr = MatStashGetInfo_Private(&mat->bstash,&nstash,&reallocs);CHKERRQ(ierr);
815   ierr = PetscInfo2(mat,"Block-Stash has %D entries, uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
816   PetscFunctionReturn(0);
817 }
818 
819 #undef __FUNCT__
820 #define __FUNCT__ "MatAssemblyEnd_MPIBAIJ"
821 PetscErrorCode MatAssemblyEnd_MPIBAIJ(Mat mat,MatAssemblyType mode)
822 {
823   Mat_MPIBAIJ    *baij=(Mat_MPIBAIJ*)mat->data;
824   Mat_SeqBAIJ    *a   =(Mat_SeqBAIJ*)baij->A->data;
825   PetscErrorCode ierr;
826   PetscInt       i,j,rstart,ncols,flg,bs2=baij->bs2;
827   PetscInt       *row,*col;
828   PetscBool      r1,r2,r3,other_disassembled;
829   MatScalar      *val;
830   InsertMode     addv = mat->insertmode;
831   PetscMPIInt    n;
832 
833   PetscFunctionBegin;
834   /* do not use 'b=(Mat_SeqBAIJ*)baij->B->data' as B can be reset in disassembly */
835   if (!baij->donotstash && !mat->nooffprocentries) {
836     while (1) {
837       ierr = MatStashScatterGetMesg_Private(&mat->stash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
838       if (!flg) break;
839 
840       for (i=0; i<n;) {
841         /* Now identify the consecutive vals belonging to the same row */
842         for (j=i,rstart=row[j]; j<n; j++) {
843           if (row[j] != rstart) break;
844         }
845         if (j < n) ncols = j-i;
846         else       ncols = n-i;
847         /* Now assemble all these values with a single function call */
848         ierr = MatSetValues_MPIBAIJ(mat,1,row+i,ncols,col+i,val+i,addv);CHKERRQ(ierr);
849         i    = j;
850       }
851     }
852     ierr = MatStashScatterEnd_Private(&mat->stash);CHKERRQ(ierr);
853     /* Now process the block-stash. Since the values are stashed column-oriented,
854        set the roworiented flag to column oriented, and after MatSetValues()
855        restore the original flags */
856     r1 = baij->roworiented;
857     r2 = a->roworiented;
858     r3 = ((Mat_SeqBAIJ*)baij->B->data)->roworiented;
859 
860     baij->roworiented = PETSC_FALSE;
861     a->roworiented    = PETSC_FALSE;
862 
863     (((Mat_SeqBAIJ*)baij->B->data))->roworiented = PETSC_FALSE; /* b->roworiented */
864     while (1) {
865       ierr = MatStashScatterGetMesg_Private(&mat->bstash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
866       if (!flg) break;
867 
868       for (i=0; i<n;) {
869         /* Now identify the consecutive vals belonging to the same row */
870         for (j=i,rstart=row[j]; j<n; j++) {
871           if (row[j] != rstart) break;
872         }
873         if (j < n) ncols = j-i;
874         else       ncols = n-i;
875         ierr = MatSetValuesBlocked_MPIBAIJ(mat,1,row+i,ncols,col+i,val+i*bs2,addv);CHKERRQ(ierr);
876         i    = j;
877       }
878     }
879     ierr = MatStashScatterEnd_Private(&mat->bstash);CHKERRQ(ierr);
880 
881     baij->roworiented = r1;
882     a->roworiented    = r2;
883 
884     ((Mat_SeqBAIJ*)baij->B->data)->roworiented = r3; /* b->roworiented */
885   }
886 
887   ierr = MatAssemblyBegin(baij->A,mode);CHKERRQ(ierr);
888   ierr = MatAssemblyEnd(baij->A,mode);CHKERRQ(ierr);
889 
890   /* determine if any processor has disassembled, if so we must
891      also disassemble ourselfs, in order that we may reassemble. */
892   /*
893      if nonzero structure of submatrix B cannot change then we know that
894      no processor disassembled thus we can skip this stuff
895   */
896   if (!((Mat_SeqBAIJ*)baij->B->data)->nonew) {
897     ierr = MPI_Allreduce(&mat->was_assembled,&other_disassembled,1,MPIU_BOOL,MPI_PROD,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
898     if (mat->was_assembled && !other_disassembled) {
899       ierr = MatDisAssemble_MPIBAIJ(mat);CHKERRQ(ierr);
900     }
901   }
902 
903   if (!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) {
904     ierr = MatSetUpMultiply_MPIBAIJ(mat);CHKERRQ(ierr);
905   }
906   ierr = MatAssemblyBegin(baij->B,mode);CHKERRQ(ierr);
907   ierr = MatAssemblyEnd(baij->B,mode);CHKERRQ(ierr);
908 
909 #if defined(PETSC_USE_INFO)
910   if (baij->ht && mode== MAT_FINAL_ASSEMBLY) {
911     ierr = PetscInfo1(mat,"Average Hash Table Search in MatSetValues = %5.2f\n",((PetscReal)baij->ht_total_ct)/baij->ht_insert_ct);CHKERRQ(ierr);
912 
913     baij->ht_total_ct  = 0;
914     baij->ht_insert_ct = 0;
915   }
916 #endif
917   if (baij->ht_flag && !baij->ht && mode == MAT_FINAL_ASSEMBLY) {
918     ierr = MatCreateHashTable_MPIBAIJ_Private(mat,baij->ht_fact);CHKERRQ(ierr);
919 
920     mat->ops->setvalues        = MatSetValues_MPIBAIJ_HT;
921     mat->ops->setvaluesblocked = MatSetValuesBlocked_MPIBAIJ_HT;
922   }
923 
924   ierr = PetscFree2(baij->rowvalues,baij->rowindices);CHKERRQ(ierr);
925 
926   baij->rowvalues = 0;
927 
928   /* if no new nonzero locations are allowed in matrix then only set the matrix state the first time through */
929   if ((!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) || !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
930     PetscObjectState state = baij->A->nonzerostate + baij->B->nonzerostate;
931     ierr = MPI_Allreduce(&state,&mat->nonzerostate,1,MPIU_INT64,MPI_SUM,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
932   }
933   PetscFunctionReturn(0);
934 }
935 
936 extern PetscErrorCode MatView_SeqBAIJ(Mat,PetscViewer);
937 #include <petscdraw.h>
938 #undef __FUNCT__
939 #define __FUNCT__ "MatView_MPIBAIJ_ASCIIorDraworSocket"
940 static PetscErrorCode MatView_MPIBAIJ_ASCIIorDraworSocket(Mat mat,PetscViewer viewer)
941 {
942   Mat_MPIBAIJ       *baij = (Mat_MPIBAIJ*)mat->data;
943   PetscErrorCode    ierr;
944   PetscMPIInt       rank = baij->rank;
945   PetscInt          bs   = mat->rmap->bs;
946   PetscBool         iascii,isdraw;
947   PetscViewer       sviewer;
948   PetscViewerFormat format;
949 
950   PetscFunctionBegin;
951   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
952   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
953   if (iascii) {
954     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
955     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
956       MatInfo info;
957       ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)mat),&rank);CHKERRQ(ierr);
958       ierr = MatGetInfo(mat,MAT_LOCAL,&info);CHKERRQ(ierr);
959       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_TRUE);CHKERRQ(ierr);
960       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] Local rows %D nz %D nz alloced %D bs %D mem %D\n",
961                                                 rank,mat->rmap->n,(PetscInt)info.nz_used,(PetscInt)info.nz_allocated,mat->rmap->bs,(PetscInt)info.memory);CHKERRQ(ierr);
962       ierr = MatGetInfo(baij->A,MAT_LOCAL,&info);CHKERRQ(ierr);
963       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] on-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
964       ierr = MatGetInfo(baij->B,MAT_LOCAL,&info);CHKERRQ(ierr);
965       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] off-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
966       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
967       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_FALSE);CHKERRQ(ierr);
968       ierr = PetscViewerASCIIPrintf(viewer,"Information on VecScatter used in matrix-vector product: \n");CHKERRQ(ierr);
969       ierr = VecScatterView(baij->Mvctx,viewer);CHKERRQ(ierr);
970       PetscFunctionReturn(0);
971     } else if (format == PETSC_VIEWER_ASCII_INFO) {
972       ierr = PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);CHKERRQ(ierr);
973       PetscFunctionReturn(0);
974     } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
975       PetscFunctionReturn(0);
976     }
977   }
978 
979   if (isdraw) {
980     PetscDraw draw;
981     PetscBool isnull;
982     ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
983     ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
984   }
985 
986   {
987     /* assemble the entire matrix onto first processor. */
988     Mat         A;
989     Mat_SeqBAIJ *Aloc;
990     PetscInt    M = mat->rmap->N,N = mat->cmap->N,*ai,*aj,col,i,j,k,*rvals,mbs = baij->mbs;
991     MatScalar   *a;
992 
993     /* Here we are creating a temporary matrix, so will assume MPIBAIJ is acceptable */
994     /* Perhaps this should be the type of mat? */
995     ierr = MatCreate(PetscObjectComm((PetscObject)mat),&A);CHKERRQ(ierr);
996     if (!rank) {
997       ierr = MatSetSizes(A,M,N,M,N);CHKERRQ(ierr);
998     } else {
999       ierr = MatSetSizes(A,0,0,M,N);CHKERRQ(ierr);
1000     }
1001     ierr = MatSetType(A,MATMPIBAIJ);CHKERRQ(ierr);
1002     ierr = MatMPIBAIJSetPreallocation(A,mat->rmap->bs,0,NULL,0,NULL);CHKERRQ(ierr);
1003     ierr = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);
1004     ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)A);CHKERRQ(ierr);
1005 
1006     /* copy over the A part */
1007     Aloc = (Mat_SeqBAIJ*)baij->A->data;
1008     ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
1009     ierr = PetscMalloc1(bs,&rvals);CHKERRQ(ierr);
1010 
1011     for (i=0; i<mbs; i++) {
1012       rvals[0] = bs*(baij->rstartbs + i);
1013       for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
1014       for (j=ai[i]; j<ai[i+1]; j++) {
1015         col = (baij->cstartbs+aj[j])*bs;
1016         for (k=0; k<bs; k++) {
1017           ierr      = MatSetValues_MPIBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
1018           col++; a += bs;
1019         }
1020       }
1021     }
1022     /* copy over the B part */
1023     Aloc = (Mat_SeqBAIJ*)baij->B->data;
1024     ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
1025     for (i=0; i<mbs; i++) {
1026       rvals[0] = bs*(baij->rstartbs + i);
1027       for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
1028       for (j=ai[i]; j<ai[i+1]; j++) {
1029         col = baij->garray[aj[j]]*bs;
1030         for (k=0; k<bs; k++) {
1031           ierr      = MatSetValues_MPIBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
1032           col++; a += bs;
1033         }
1034       }
1035     }
1036     ierr = PetscFree(rvals);CHKERRQ(ierr);
1037     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1038     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1039     /*
1040        Everyone has to call to draw the matrix since the graphics waits are
1041        synchronized across all processors that share the PetscDraw object
1042     */
1043     ierr = PetscViewerGetSingleton(viewer,&sviewer);CHKERRQ(ierr);
1044     if (!rank) {
1045       ierr = MatView_SeqBAIJ(((Mat_MPIBAIJ*)(A->data))->A,sviewer);CHKERRQ(ierr);
1046     }
1047     ierr = PetscViewerRestoreSingleton(viewer,&sviewer);CHKERRQ(ierr);
1048     ierr = MatDestroy(&A);CHKERRQ(ierr);
1049   }
1050   PetscFunctionReturn(0);
1051 }
1052 
1053 #undef __FUNCT__
1054 #define __FUNCT__ "MatView_MPIBAIJ_Binary"
1055 static PetscErrorCode MatView_MPIBAIJ_Binary(Mat mat,PetscViewer viewer)
1056 {
1057   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)mat->data;
1058   Mat_SeqBAIJ    *A = (Mat_SeqBAIJ*)a->A->data;
1059   Mat_SeqBAIJ    *B = (Mat_SeqBAIJ*)a->B->data;
1060   PetscErrorCode ierr;
1061   PetscInt       i,*row_lens,*crow_lens,bs = mat->rmap->bs,j,k,bs2=a->bs2,header[4],nz,rlen;
1062   PetscInt       *range=0,nzmax,*column_indices,cnt,col,*garray = a->garray,cstart = mat->cmap->rstart/bs,len,pcnt,l,ll;
1063   int            fd;
1064   PetscScalar    *column_values;
1065   FILE           *file;
1066   PetscMPIInt    rank,size,tag = ((PetscObject)viewer)->tag;
1067   PetscInt       message_count,flowcontrolcount;
1068 
1069   PetscFunctionBegin;
1070   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)mat),&rank);CHKERRQ(ierr);
1071   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)mat),&size);CHKERRQ(ierr);
1072   nz   = bs2*(A->nz + B->nz);
1073   rlen = mat->rmap->n;
1074   if (!rank) {
1075     header[0] = MAT_FILE_CLASSID;
1076     header[1] = mat->rmap->N;
1077     header[2] = mat->cmap->N;
1078 
1079     ierr = MPI_Reduce(&nz,&header[3],1,MPIU_INT,MPI_SUM,0,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1080     ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
1081     ierr = PetscBinaryWrite(fd,header,4,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1082     /* get largest number of rows any processor has */
1083     range = mat->rmap->range;
1084     for (i=1; i<size; i++) {
1085       rlen = PetscMax(rlen,range[i+1] - range[i]);
1086     }
1087   } else {
1088     ierr = MPI_Reduce(&nz,0,1,MPIU_INT,MPI_SUM,0,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1089   }
1090 
1091   ierr = PetscMalloc1((rlen/bs),&crow_lens);CHKERRQ(ierr);
1092   /* compute lengths of each row  */
1093   for (i=0; i<a->mbs; i++) {
1094     crow_lens[i] = A->i[i+1] - A->i[i] + B->i[i+1] - B->i[i];
1095   }
1096   /* store the row lengths to the file */
1097   ierr = PetscViewerFlowControlStart(viewer,&message_count,&flowcontrolcount);CHKERRQ(ierr);
1098   if (!rank) {
1099     MPI_Status status;
1100     ierr = PetscMalloc1(rlen,&row_lens);CHKERRQ(ierr);
1101     rlen = (range[1] - range[0])/bs;
1102     for (i=0; i<rlen; i++) {
1103       for (j=0; j<bs; j++) {
1104         row_lens[i*bs+j] = bs*crow_lens[i];
1105       }
1106     }
1107     ierr = PetscBinaryWrite(fd,row_lens,bs*rlen,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1108     for (i=1; i<size; i++) {
1109       rlen = (range[i+1] - range[i])/bs;
1110       ierr = PetscViewerFlowControlStepMaster(viewer,i,&message_count,flowcontrolcount);CHKERRQ(ierr);
1111       ierr = MPI_Recv(crow_lens,rlen,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1112       for (k=0; k<rlen; k++) {
1113         for (j=0; j<bs; j++) {
1114           row_lens[k*bs+j] = bs*crow_lens[k];
1115         }
1116       }
1117       ierr = PetscBinaryWrite(fd,row_lens,bs*rlen,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1118     }
1119     ierr = PetscViewerFlowControlEndMaster(viewer,&message_count);CHKERRQ(ierr);
1120     ierr = PetscFree(row_lens);CHKERRQ(ierr);
1121   } else {
1122     ierr = PetscViewerFlowControlStepWorker(viewer,rank,&message_count);CHKERRQ(ierr);
1123     ierr = MPI_Send(crow_lens,mat->rmap->n/bs,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1124     ierr = PetscViewerFlowControlEndWorker(viewer,&message_count);CHKERRQ(ierr);
1125   }
1126   ierr = PetscFree(crow_lens);CHKERRQ(ierr);
1127 
1128   /* load up the local column indices. Include for all rows not just one for each block row since process 0 does not have the
1129      information needed to make it for each row from a block row. This does require more communication but still not more than
1130      the communication needed for the nonzero values  */
1131   nzmax = nz; /*  space a largest processor needs */
1132   ierr  = MPI_Reduce(&nz,&nzmax,1,MPIU_INT,MPI_MAX,0,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1133   ierr  = PetscMalloc1(nzmax,&column_indices);CHKERRQ(ierr);
1134   cnt   = 0;
1135   for (i=0; i<a->mbs; i++) {
1136     pcnt = cnt;
1137     for (j=B->i[i]; j<B->i[i+1]; j++) {
1138       if ((col = garray[B->j[j]]) > cstart) break;
1139       for (l=0; l<bs; l++) {
1140         column_indices[cnt++] = bs*col+l;
1141       }
1142     }
1143     for (k=A->i[i]; k<A->i[i+1]; k++) {
1144       for (l=0; l<bs; l++) {
1145         column_indices[cnt++] = bs*(A->j[k] + cstart)+l;
1146       }
1147     }
1148     for (; j<B->i[i+1]; j++) {
1149       for (l=0; l<bs; l++) {
1150         column_indices[cnt++] = bs*garray[B->j[j]]+l;
1151       }
1152     }
1153     len = cnt - pcnt;
1154     for (k=1; k<bs; k++) {
1155       ierr = PetscMemcpy(&column_indices[cnt],&column_indices[pcnt],len*sizeof(PetscInt));CHKERRQ(ierr);
1156       cnt += len;
1157     }
1158   }
1159   if (cnt != nz) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Internal PETSc error: cnt = %D nz = %D",cnt,nz);
1160 
1161   /* store the columns to the file */
1162   ierr = PetscViewerFlowControlStart(viewer,&message_count,&flowcontrolcount);CHKERRQ(ierr);
1163   if (!rank) {
1164     MPI_Status status;
1165     ierr = PetscBinaryWrite(fd,column_indices,nz,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1166     for (i=1; i<size; i++) {
1167       ierr = PetscViewerFlowControlStepMaster(viewer,i,&message_count,flowcontrolcount);CHKERRQ(ierr);
1168       ierr = MPI_Recv(&cnt,1,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1169       ierr = MPI_Recv(column_indices,cnt,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1170       ierr = PetscBinaryWrite(fd,column_indices,cnt,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1171     }
1172     ierr = PetscViewerFlowControlEndMaster(viewer,&message_count);CHKERRQ(ierr);
1173   } else {
1174     ierr = PetscViewerFlowControlStepWorker(viewer,rank,&message_count);CHKERRQ(ierr);
1175     ierr = MPI_Send(&cnt,1,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1176     ierr = MPI_Send(column_indices,cnt,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1177     ierr = PetscViewerFlowControlEndWorker(viewer,&message_count);CHKERRQ(ierr);
1178   }
1179   ierr = PetscFree(column_indices);CHKERRQ(ierr);
1180 
1181   /* load up the numerical values */
1182   ierr = PetscMalloc1(nzmax,&column_values);CHKERRQ(ierr);
1183   cnt  = 0;
1184   for (i=0; i<a->mbs; i++) {
1185     rlen = bs*(B->i[i+1] - B->i[i] + A->i[i+1] - A->i[i]);
1186     for (j=B->i[i]; j<B->i[i+1]; j++) {
1187       if (garray[B->j[j]] > cstart) break;
1188       for (l=0; l<bs; l++) {
1189         for (ll=0; ll<bs; ll++) {
1190           column_values[cnt + l*rlen + ll] = B->a[bs2*j+l+bs*ll];
1191         }
1192       }
1193       cnt += bs;
1194     }
1195     for (k=A->i[i]; k<A->i[i+1]; k++) {
1196       for (l=0; l<bs; l++) {
1197         for (ll=0; ll<bs; ll++) {
1198           column_values[cnt + l*rlen + ll] = A->a[bs2*k+l+bs*ll];
1199         }
1200       }
1201       cnt += bs;
1202     }
1203     for (; j<B->i[i+1]; j++) {
1204       for (l=0; l<bs; l++) {
1205         for (ll=0; ll<bs; ll++) {
1206           column_values[cnt + l*rlen + ll] = B->a[bs2*j+l+bs*ll];
1207         }
1208       }
1209       cnt += bs;
1210     }
1211     cnt += (bs-1)*rlen;
1212   }
1213   if (cnt != nz) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Internal PETSc error: cnt = %D nz = %D",cnt,nz);
1214 
1215   /* store the column values to the file */
1216   ierr = PetscViewerFlowControlStart(viewer,&message_count,&flowcontrolcount);CHKERRQ(ierr);
1217   if (!rank) {
1218     MPI_Status status;
1219     ierr = PetscBinaryWrite(fd,column_values,nz,PETSC_SCALAR,PETSC_TRUE);CHKERRQ(ierr);
1220     for (i=1; i<size; i++) {
1221       ierr = PetscViewerFlowControlStepMaster(viewer,i,&message_count,flowcontrolcount);CHKERRQ(ierr);
1222       ierr = MPI_Recv(&cnt,1,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1223       ierr = MPI_Recv(column_values,cnt,MPIU_SCALAR,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1224       ierr = PetscBinaryWrite(fd,column_values,cnt,PETSC_SCALAR,PETSC_TRUE);CHKERRQ(ierr);
1225     }
1226     ierr = PetscViewerFlowControlEndMaster(viewer,&message_count);CHKERRQ(ierr);
1227   } else {
1228     ierr = PetscViewerFlowControlStepWorker(viewer,rank,&message_count);CHKERRQ(ierr);
1229     ierr = MPI_Send(&nz,1,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1230     ierr = MPI_Send(column_values,nz,MPIU_SCALAR,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1231     ierr = PetscViewerFlowControlEndWorker(viewer,&message_count);CHKERRQ(ierr);
1232   }
1233   ierr = PetscFree(column_values);CHKERRQ(ierr);
1234 
1235   ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
1236   if (file) {
1237     fprintf(file,"-matload_block_size %d\n",(int)mat->rmap->bs);
1238   }
1239   PetscFunctionReturn(0);
1240 }
1241 
1242 #undef __FUNCT__
1243 #define __FUNCT__ "MatView_MPIBAIJ"
1244 PetscErrorCode MatView_MPIBAIJ(Mat mat,PetscViewer viewer)
1245 {
1246   PetscErrorCode ierr;
1247   PetscBool      iascii,isdraw,issocket,isbinary;
1248 
1249   PetscFunctionBegin;
1250   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1251   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1252   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSOCKET,&issocket);CHKERRQ(ierr);
1253   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1254   if (iascii || isdraw || issocket) {
1255     ierr = MatView_MPIBAIJ_ASCIIorDraworSocket(mat,viewer);CHKERRQ(ierr);
1256   } else if (isbinary) {
1257     ierr = MatView_MPIBAIJ_Binary(mat,viewer);CHKERRQ(ierr);
1258   }
1259   PetscFunctionReturn(0);
1260 }
1261 
1262 #undef __FUNCT__
1263 #define __FUNCT__ "MatDestroy_MPIBAIJ"
1264 PetscErrorCode MatDestroy_MPIBAIJ(Mat mat)
1265 {
1266   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
1267   PetscErrorCode ierr;
1268 
1269   PetscFunctionBegin;
1270 #if defined(PETSC_USE_LOG)
1271   PetscLogObjectState((PetscObject)mat,"Rows=%D,Cols=%D",mat->rmap->N,mat->cmap->N);
1272 #endif
1273   ierr = MatStashDestroy_Private(&mat->stash);CHKERRQ(ierr);
1274   ierr = MatStashDestroy_Private(&mat->bstash);CHKERRQ(ierr);
1275   ierr = MatDestroy(&baij->A);CHKERRQ(ierr);
1276   ierr = MatDestroy(&baij->B);CHKERRQ(ierr);
1277 #if defined(PETSC_USE_CTABLE)
1278   ierr = PetscTableDestroy(&baij->colmap);CHKERRQ(ierr);
1279 #else
1280   ierr = PetscFree(baij->colmap);CHKERRQ(ierr);
1281 #endif
1282   ierr = PetscFree(baij->garray);CHKERRQ(ierr);
1283   ierr = VecDestroy(&baij->lvec);CHKERRQ(ierr);
1284   ierr = VecScatterDestroy(&baij->Mvctx);CHKERRQ(ierr);
1285   ierr = PetscFree2(baij->rowvalues,baij->rowindices);CHKERRQ(ierr);
1286   ierr = PetscFree(baij->barray);CHKERRQ(ierr);
1287   ierr = PetscFree2(baij->hd,baij->ht);CHKERRQ(ierr);
1288   ierr = PetscFree(baij->rangebs);CHKERRQ(ierr);
1289   ierr = PetscFree(mat->data);CHKERRQ(ierr);
1290 
1291   ierr = PetscObjectChangeTypeName((PetscObject)mat,0);CHKERRQ(ierr);
1292   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatStoreValues_C",NULL);CHKERRQ(ierr);
1293   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatRetrieveValues_C",NULL);CHKERRQ(ierr);
1294   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatGetDiagonalBlock_C",NULL);CHKERRQ(ierr);
1295   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatMPIBAIJSetPreallocation_C",NULL);CHKERRQ(ierr);
1296   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatMPIBAIJSetPreallocationCSR_C",NULL);CHKERRQ(ierr);
1297   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatDiagonalScaleLocal_C",NULL);CHKERRQ(ierr);
1298   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatSetHashTableFactor_C",NULL);CHKERRQ(ierr);
1299   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpibaij_mpisbaij_C",NULL);CHKERRQ(ierr);
1300   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpibaij_mpibstrm_C",NULL);CHKERRQ(ierr);
1301   PetscFunctionReturn(0);
1302 }
1303 
1304 #undef __FUNCT__
1305 #define __FUNCT__ "MatMult_MPIBAIJ"
1306 PetscErrorCode MatMult_MPIBAIJ(Mat A,Vec xx,Vec yy)
1307 {
1308   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1309   PetscErrorCode ierr;
1310   PetscInt       nt;
1311 
1312   PetscFunctionBegin;
1313   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
1314   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
1315   ierr = VecGetLocalSize(yy,&nt);CHKERRQ(ierr);
1316   if (nt != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible parition of A and yy");
1317   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1318   ierr = (*a->A->ops->mult)(a->A,xx,yy);CHKERRQ(ierr);
1319   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1320   ierr = (*a->B->ops->multadd)(a->B,a->lvec,yy,yy);CHKERRQ(ierr);
1321   PetscFunctionReturn(0);
1322 }
1323 
1324 #undef __FUNCT__
1325 #define __FUNCT__ "MatMultAdd_MPIBAIJ"
1326 PetscErrorCode MatMultAdd_MPIBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1327 {
1328   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1329   PetscErrorCode ierr;
1330 
1331   PetscFunctionBegin;
1332   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1333   ierr = (*a->A->ops->multadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
1334   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1335   ierr = (*a->B->ops->multadd)(a->B,a->lvec,zz,zz);CHKERRQ(ierr);
1336   PetscFunctionReturn(0);
1337 }
1338 
1339 #undef __FUNCT__
1340 #define __FUNCT__ "MatMultTranspose_MPIBAIJ"
1341 PetscErrorCode MatMultTranspose_MPIBAIJ(Mat A,Vec xx,Vec yy)
1342 {
1343   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1344   PetscErrorCode ierr;
1345   PetscBool      merged;
1346 
1347   PetscFunctionBegin;
1348   ierr = VecScatterGetMerged(a->Mvctx,&merged);CHKERRQ(ierr);
1349   /* do nondiagonal part */
1350   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1351   if (!merged) {
1352     /* send it on its way */
1353     ierr = VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1354     /* do local part */
1355     ierr = (*a->A->ops->multtranspose)(a->A,xx,yy);CHKERRQ(ierr);
1356     /* receive remote parts: note this assumes the values are not actually */
1357     /* inserted in yy until the next line */
1358     ierr = VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1359   } else {
1360     /* do local part */
1361     ierr = (*a->A->ops->multtranspose)(a->A,xx,yy);CHKERRQ(ierr);
1362     /* send it on its way */
1363     ierr = VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1364     /* values actually were received in the Begin() but we need to call this nop */
1365     ierr = VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1366   }
1367   PetscFunctionReturn(0);
1368 }
1369 
1370 #undef __FUNCT__
1371 #define __FUNCT__ "MatMultTransposeAdd_MPIBAIJ"
1372 PetscErrorCode MatMultTransposeAdd_MPIBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1373 {
1374   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1375   PetscErrorCode ierr;
1376 
1377   PetscFunctionBegin;
1378   /* do nondiagonal part */
1379   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1380   /* send it on its way */
1381   ierr = VecScatterBegin(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1382   /* do local part */
1383   ierr = (*a->A->ops->multtransposeadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
1384   /* receive remote parts: note this assumes the values are not actually */
1385   /* inserted in yy until the next line, which is true for my implementation*/
1386   /* but is not perhaps always true. */
1387   ierr = VecScatterEnd(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1388   PetscFunctionReturn(0);
1389 }
1390 
1391 /*
1392   This only works correctly for square matrices where the subblock A->A is the
1393    diagonal block
1394 */
1395 #undef __FUNCT__
1396 #define __FUNCT__ "MatGetDiagonal_MPIBAIJ"
1397 PetscErrorCode MatGetDiagonal_MPIBAIJ(Mat A,Vec v)
1398 {
1399   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1400   PetscErrorCode ierr;
1401 
1402   PetscFunctionBegin;
1403   if (A->rmap->N != A->cmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Supports only square matrix where A->A is diag block");
1404   ierr = MatGetDiagonal(a->A,v);CHKERRQ(ierr);
1405   PetscFunctionReturn(0);
1406 }
1407 
1408 #undef __FUNCT__
1409 #define __FUNCT__ "MatScale_MPIBAIJ"
1410 PetscErrorCode MatScale_MPIBAIJ(Mat A,PetscScalar aa)
1411 {
1412   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1413   PetscErrorCode ierr;
1414 
1415   PetscFunctionBegin;
1416   ierr = MatScale(a->A,aa);CHKERRQ(ierr);
1417   ierr = MatScale(a->B,aa);CHKERRQ(ierr);
1418   PetscFunctionReturn(0);
1419 }
1420 
1421 #undef __FUNCT__
1422 #define __FUNCT__ "MatGetRow_MPIBAIJ"
1423 PetscErrorCode MatGetRow_MPIBAIJ(Mat matin,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1424 {
1425   Mat_MPIBAIJ    *mat = (Mat_MPIBAIJ*)matin->data;
1426   PetscScalar    *vworkA,*vworkB,**pvA,**pvB,*v_p;
1427   PetscErrorCode ierr;
1428   PetscInt       bs = matin->rmap->bs,bs2 = mat->bs2,i,*cworkA,*cworkB,**pcA,**pcB;
1429   PetscInt       nztot,nzA,nzB,lrow,brstart = matin->rmap->rstart,brend = matin->rmap->rend;
1430   PetscInt       *cmap,*idx_p,cstart = mat->cstartbs;
1431 
1432   PetscFunctionBegin;
1433   if (row < brstart || row >= brend) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local rows");
1434   if (mat->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Already active");
1435   mat->getrowactive = PETSC_TRUE;
1436 
1437   if (!mat->rowvalues && (idx || v)) {
1438     /*
1439         allocate enough space to hold information from the longest row.
1440     */
1441     Mat_SeqBAIJ *Aa = (Mat_SeqBAIJ*)mat->A->data,*Ba = (Mat_SeqBAIJ*)mat->B->data;
1442     PetscInt    max = 1,mbs = mat->mbs,tmp;
1443     for (i=0; i<mbs; i++) {
1444       tmp = Aa->i[i+1] - Aa->i[i] + Ba->i[i+1] - Ba->i[i];
1445       if (max < tmp) max = tmp;
1446     }
1447     ierr = PetscMalloc2(max*bs2,&mat->rowvalues,max*bs2,&mat->rowindices);CHKERRQ(ierr);
1448   }
1449   lrow = row - brstart;
1450 
1451   pvA = &vworkA; pcA = &cworkA; pvB = &vworkB; pcB = &cworkB;
1452   if (!v)   {pvA = 0; pvB = 0;}
1453   if (!idx) {pcA = 0; if (!v) pcB = 0;}
1454   ierr  = (*mat->A->ops->getrow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1455   ierr  = (*mat->B->ops->getrow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1456   nztot = nzA + nzB;
1457 
1458   cmap = mat->garray;
1459   if (v  || idx) {
1460     if (nztot) {
1461       /* Sort by increasing column numbers, assuming A and B already sorted */
1462       PetscInt imark = -1;
1463       if (v) {
1464         *v = v_p = mat->rowvalues;
1465         for (i=0; i<nzB; i++) {
1466           if (cmap[cworkB[i]/bs] < cstart) v_p[i] = vworkB[i];
1467           else break;
1468         }
1469         imark = i;
1470         for (i=0; i<nzA; i++)     v_p[imark+i] = vworkA[i];
1471         for (i=imark; i<nzB; i++) v_p[nzA+i]   = vworkB[i];
1472       }
1473       if (idx) {
1474         *idx = idx_p = mat->rowindices;
1475         if (imark > -1) {
1476           for (i=0; i<imark; i++) {
1477             idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1478           }
1479         } else {
1480           for (i=0; i<nzB; i++) {
1481             if (cmap[cworkB[i]/bs] < cstart) idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1482             else break;
1483           }
1484           imark = i;
1485         }
1486         for (i=0; i<nzA; i++)     idx_p[imark+i] = cstart*bs + cworkA[i];
1487         for (i=imark; i<nzB; i++) idx_p[nzA+i]   = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1488       }
1489     } else {
1490       if (idx) *idx = 0;
1491       if (v)   *v   = 0;
1492     }
1493   }
1494   *nz  = nztot;
1495   ierr = (*mat->A->ops->restorerow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1496   ierr = (*mat->B->ops->restorerow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1497   PetscFunctionReturn(0);
1498 }
1499 
1500 #undef __FUNCT__
1501 #define __FUNCT__ "MatRestoreRow_MPIBAIJ"
1502 PetscErrorCode MatRestoreRow_MPIBAIJ(Mat mat,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1503 {
1504   Mat_MPIBAIJ *baij = (Mat_MPIBAIJ*)mat->data;
1505 
1506   PetscFunctionBegin;
1507   if (!baij->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"MatGetRow not called");
1508   baij->getrowactive = PETSC_FALSE;
1509   PetscFunctionReturn(0);
1510 }
1511 
1512 #undef __FUNCT__
1513 #define __FUNCT__ "MatZeroEntries_MPIBAIJ"
1514 PetscErrorCode MatZeroEntries_MPIBAIJ(Mat A)
1515 {
1516   Mat_MPIBAIJ    *l = (Mat_MPIBAIJ*)A->data;
1517   PetscErrorCode ierr;
1518 
1519   PetscFunctionBegin;
1520   ierr = MatZeroEntries(l->A);CHKERRQ(ierr);
1521   ierr = MatZeroEntries(l->B);CHKERRQ(ierr);
1522   PetscFunctionReturn(0);
1523 }
1524 
1525 #undef __FUNCT__
1526 #define __FUNCT__ "MatGetInfo_MPIBAIJ"
1527 PetscErrorCode MatGetInfo_MPIBAIJ(Mat matin,MatInfoType flag,MatInfo *info)
1528 {
1529   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)matin->data;
1530   Mat            A  = a->A,B = a->B;
1531   PetscErrorCode ierr;
1532   PetscReal      isend[5],irecv[5];
1533 
1534   PetscFunctionBegin;
1535   info->block_size = (PetscReal)matin->rmap->bs;
1536 
1537   ierr = MatGetInfo(A,MAT_LOCAL,info);CHKERRQ(ierr);
1538 
1539   isend[0] = info->nz_used; isend[1] = info->nz_allocated; isend[2] = info->nz_unneeded;
1540   isend[3] = info->memory;  isend[4] = info->mallocs;
1541 
1542   ierr = MatGetInfo(B,MAT_LOCAL,info);CHKERRQ(ierr);
1543 
1544   isend[0] += info->nz_used; isend[1] += info->nz_allocated; isend[2] += info->nz_unneeded;
1545   isend[3] += info->memory;  isend[4] += info->mallocs;
1546 
1547   if (flag == MAT_LOCAL) {
1548     info->nz_used      = isend[0];
1549     info->nz_allocated = isend[1];
1550     info->nz_unneeded  = isend[2];
1551     info->memory       = isend[3];
1552     info->mallocs      = isend[4];
1553   } else if (flag == MAT_GLOBAL_MAX) {
1554     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)matin));CHKERRQ(ierr);
1555 
1556     info->nz_used      = irecv[0];
1557     info->nz_allocated = irecv[1];
1558     info->nz_unneeded  = irecv[2];
1559     info->memory       = irecv[3];
1560     info->mallocs      = irecv[4];
1561   } else if (flag == MAT_GLOBAL_SUM) {
1562     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)matin));CHKERRQ(ierr);
1563 
1564     info->nz_used      = irecv[0];
1565     info->nz_allocated = irecv[1];
1566     info->nz_unneeded  = irecv[2];
1567     info->memory       = irecv[3];
1568     info->mallocs      = irecv[4];
1569   } else SETERRQ1(PetscObjectComm((PetscObject)matin),PETSC_ERR_ARG_WRONG,"Unknown MatInfoType argument %d",(int)flag);
1570   info->fill_ratio_given  = 0; /* no parallel LU/ILU/Cholesky */
1571   info->fill_ratio_needed = 0;
1572   info->factor_mallocs    = 0;
1573   PetscFunctionReturn(0);
1574 }
1575 
1576 #undef __FUNCT__
1577 #define __FUNCT__ "MatSetOption_MPIBAIJ"
1578 PetscErrorCode MatSetOption_MPIBAIJ(Mat A,MatOption op,PetscBool flg)
1579 {
1580   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1581   PetscErrorCode ierr;
1582 
1583   PetscFunctionBegin;
1584   switch (op) {
1585   case MAT_NEW_NONZERO_LOCATIONS:
1586   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1587   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1588   case MAT_KEEP_NONZERO_PATTERN:
1589   case MAT_NEW_NONZERO_LOCATION_ERR:
1590     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1591     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1592     break;
1593   case MAT_ROW_ORIENTED:
1594     a->roworiented = flg;
1595 
1596     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1597     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1598     break;
1599   case MAT_NEW_DIAGONALS:
1600     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1601     break;
1602   case MAT_IGNORE_OFF_PROC_ENTRIES:
1603     a->donotstash = flg;
1604     break;
1605   case MAT_USE_HASH_TABLE:
1606     a->ht_flag = flg;
1607     break;
1608   case MAT_SYMMETRIC:
1609   case MAT_STRUCTURALLY_SYMMETRIC:
1610   case MAT_HERMITIAN:
1611   case MAT_SYMMETRY_ETERNAL:
1612     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1613     break;
1614   default:
1615     SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"unknown option %d",op);
1616   }
1617   PetscFunctionReturn(0);
1618 }
1619 
1620 #undef __FUNCT__
1621 #define __FUNCT__ "MatTranspose_MPIBAIJ"
1622 PetscErrorCode MatTranspose_MPIBAIJ(Mat A,MatReuse reuse,Mat *matout)
1623 {
1624   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)A->data;
1625   Mat_SeqBAIJ    *Aloc;
1626   Mat            B;
1627   PetscErrorCode ierr;
1628   PetscInt       M =A->rmap->N,N=A->cmap->N,*ai,*aj,i,*rvals,j,k,col;
1629   PetscInt       bs=A->rmap->bs,mbs=baij->mbs;
1630   MatScalar      *a;
1631 
1632   PetscFunctionBegin;
1633   if (reuse == MAT_REUSE_MATRIX && A == *matout && M != N) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Square matrix only for in-place");
1634   if (reuse == MAT_INITIAL_MATRIX || *matout == A) {
1635     ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
1636     ierr = MatSetSizes(B,A->cmap->n,A->rmap->n,N,M);CHKERRQ(ierr);
1637     ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
1638     /* Do not know preallocation information, but must set block size */
1639     ierr = MatMPIBAIJSetPreallocation(B,A->rmap->bs,PETSC_DECIDE,NULL,PETSC_DECIDE,NULL);CHKERRQ(ierr);
1640   } else {
1641     B = *matout;
1642   }
1643 
1644   /* copy over the A part */
1645   Aloc = (Mat_SeqBAIJ*)baij->A->data;
1646   ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
1647   ierr = PetscMalloc1(bs,&rvals);CHKERRQ(ierr);
1648 
1649   for (i=0; i<mbs; i++) {
1650     rvals[0] = bs*(baij->rstartbs + i);
1651     for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
1652     for (j=ai[i]; j<ai[i+1]; j++) {
1653       col = (baij->cstartbs+aj[j])*bs;
1654       for (k=0; k<bs; k++) {
1655         ierr = MatSetValues_MPIBAIJ(B,1,&col,bs,rvals,a,INSERT_VALUES);CHKERRQ(ierr);
1656 
1657         col++; a += bs;
1658       }
1659     }
1660   }
1661   /* copy over the B part */
1662   Aloc = (Mat_SeqBAIJ*)baij->B->data;
1663   ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
1664   for (i=0; i<mbs; i++) {
1665     rvals[0] = bs*(baij->rstartbs + i);
1666     for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
1667     for (j=ai[i]; j<ai[i+1]; j++) {
1668       col = baij->garray[aj[j]]*bs;
1669       for (k=0; k<bs; k++) {
1670         ierr = MatSetValues_MPIBAIJ(B,1,&col,bs,rvals,a,INSERT_VALUES);CHKERRQ(ierr);
1671         col++;
1672         a += bs;
1673       }
1674     }
1675   }
1676   ierr = PetscFree(rvals);CHKERRQ(ierr);
1677   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1678   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1679 
1680   if (reuse == MAT_INITIAL_MATRIX || *matout != A) *matout = B;
1681   else {
1682     ierr = MatHeaderMerge(A,B);CHKERRQ(ierr);
1683   }
1684   PetscFunctionReturn(0);
1685 }
1686 
1687 #undef __FUNCT__
1688 #define __FUNCT__ "MatDiagonalScale_MPIBAIJ"
1689 PetscErrorCode MatDiagonalScale_MPIBAIJ(Mat mat,Vec ll,Vec rr)
1690 {
1691   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
1692   Mat            a     = baij->A,b = baij->B;
1693   PetscErrorCode ierr;
1694   PetscInt       s1,s2,s3;
1695 
1696   PetscFunctionBegin;
1697   ierr = MatGetLocalSize(mat,&s2,&s3);CHKERRQ(ierr);
1698   if (rr) {
1699     ierr = VecGetLocalSize(rr,&s1);CHKERRQ(ierr);
1700     if (s1!=s3) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"right vector non-conforming local size");
1701     /* Overlap communication with computation. */
1702     ierr = VecScatterBegin(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1703   }
1704   if (ll) {
1705     ierr = VecGetLocalSize(ll,&s1);CHKERRQ(ierr);
1706     if (s1!=s2) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"left vector non-conforming local size");
1707     ierr = (*b->ops->diagonalscale)(b,ll,NULL);CHKERRQ(ierr);
1708   }
1709   /* scale  the diagonal block */
1710   ierr = (*a->ops->diagonalscale)(a,ll,rr);CHKERRQ(ierr);
1711 
1712   if (rr) {
1713     /* Do a scatter end and then right scale the off-diagonal block */
1714     ierr = VecScatterEnd(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1715     ierr = (*b->ops->diagonalscale)(b,NULL,baij->lvec);CHKERRQ(ierr);
1716   }
1717   PetscFunctionReturn(0);
1718 }
1719 
1720 #undef __FUNCT__
1721 #define __FUNCT__ "MatZeroRows_MPIBAIJ"
1722 PetscErrorCode MatZeroRows_MPIBAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1723 {
1724   Mat_MPIBAIJ   *l      = (Mat_MPIBAIJ *) A->data;
1725   PetscInt      *owners = A->rmap->range;
1726   PetscInt       n      = A->rmap->n;
1727   PetscMPIInt    size   = l->size;
1728   PetscSF        sf;
1729   PetscInt      *lrows;
1730   PetscSFNode   *rrows;
1731   PetscInt       lastidx = -1, r, p = 0, len = 0;
1732   PetscErrorCode ierr;
1733 
1734   PetscFunctionBegin;
1735   /* Create SF where leaves are input rows and roots are owned rows */
1736   ierr = PetscMalloc1(n, &lrows);CHKERRQ(ierr);
1737   for (r = 0; r < n; ++r) lrows[r] = -1;
1738   ierr = PetscMalloc1(N, &rrows);CHKERRQ(ierr);
1739   for (r = 0; r < N; ++r) {
1740     const PetscInt idx   = rows[r];
1741     PetscBool      found = PETSC_FALSE;
1742     /* Trick for efficient searching for sorted rows */
1743     if (lastidx > idx) p = 0;
1744     lastidx = idx;
1745     for (; p < size; ++p) {
1746       if (idx >= owners[p] && idx < owners[p+1]) {
1747         rrows[r].rank  = p;
1748         rrows[r].index = rows[r] - owners[p];
1749         found = PETSC_TRUE;
1750         break;
1751       }
1752     }
1753     if (!found) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Row %d not found in matrix distribution", idx);
1754   }
1755   ierr = PetscSFCreate(PetscObjectComm((PetscObject) A), &sf);CHKERRQ(ierr);
1756   ierr = PetscSFSetGraph(sf, n, N, NULL, PETSC_OWN_POINTER, rrows, PETSC_OWN_POINTER);CHKERRQ(ierr);
1757   /* Collect flags for rows to be zeroed */
1758   ierr = PetscSFReduceBegin(sf, MPIU_INT, (PetscInt *) rows, lrows, MPI_LOR);CHKERRQ(ierr);
1759   ierr = PetscSFReduceEnd(sf, MPIU_INT, (PetscInt *) rows, lrows, MPI_LOR);CHKERRQ(ierr);
1760   ierr = PetscSFDestroy(&sf);CHKERRQ(ierr);
1761   /* Compress and put in row numbers */
1762   for (r = 0; r < n; ++r) if (lrows[r] >= 0) lrows[len++] = r;
1763   /* fix right hand side if needed */
1764   if (x && b) {
1765     const PetscScalar *xx;
1766     PetscScalar       *bb;
1767 
1768     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1769     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1770     for (r = 0; r < len; ++r) bb[lrows[r]] = diag*xx[lrows[r]];
1771     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1772     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1773   }
1774 
1775   /* actually zap the local rows */
1776   /*
1777         Zero the required rows. If the "diagonal block" of the matrix
1778      is square and the user wishes to set the diagonal we use separate
1779      code so that MatSetValues() is not called for each diagonal allocating
1780      new memory, thus calling lots of mallocs and slowing things down.
1781 
1782   */
1783   /* must zero l->B before l->A because the (diag) case below may put values into l->B*/
1784   ierr = MatZeroRows_SeqBAIJ(l->B,len,lrows,0.0,0,0);CHKERRQ(ierr);
1785   if ((diag != 0.0) && (l->A->rmap->N == l->A->cmap->N)) {
1786     ierr = MatZeroRows_SeqBAIJ(l->A,len,lrows,diag,0,0);CHKERRQ(ierr);
1787   } else if (diag != 0.0) {
1788     ierr = MatZeroRows_SeqBAIJ(l->A,len,lrows,0.0,0,0);CHKERRQ(ierr);
1789     if (((Mat_SeqBAIJ*)l->A->data)->nonew) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatZeroRows() on rectangular matrices cannot be used with the Mat options \n\
1790        MAT_NEW_NONZERO_LOCATIONS,MAT_NEW_NONZERO_LOCATION_ERR,MAT_NEW_NONZERO_ALLOCATION_ERR");
1791     for (r = 0; r < len; ++r) {
1792       const PetscInt row = lrows[r] + A->rmap->rstart;
1793       ierr = MatSetValues(A,1,&row,1,&row,&diag,INSERT_VALUES);CHKERRQ(ierr);
1794     }
1795     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1796     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1797   } else {
1798     ierr = MatZeroRows_SeqBAIJ(l->A,len,lrows,0.0,0,0);CHKERRQ(ierr);
1799   }
1800   ierr = PetscFree(lrows);CHKERRQ(ierr);
1801 
1802   /* only change matrix nonzero state if pattern was allowed to be changed */
1803   if (!((Mat_SeqBAIJ*)(l->A->data))->keepnonzeropattern) {
1804     PetscObjectState state = l->A->nonzerostate + l->B->nonzerostate;
1805     ierr = MPI_Allreduce(&state,&A->nonzerostate,1,MPIU_INT64,MPI_SUM,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
1806   }
1807   PetscFunctionReturn(0);
1808 }
1809 
1810 #undef __FUNCT__
1811 #define __FUNCT__ "MatZeroRowsColumns_MPIBAIJ"
1812 PetscErrorCode MatZeroRowsColumns_MPIBAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1813 {
1814   Mat_MPIBAIJ       *l = (Mat_MPIBAIJ*)A->data;
1815   PetscErrorCode    ierr;
1816   PetscMPIInt       size = l->size,n = A->rmap->n,lastidx = -1;
1817   PetscInt          i,j,k,r,p = 0,len = 0,row,col,count;
1818   PetscInt          *lrows,*owners = A->rmap->range;
1819   PetscSFNode       *rrows;
1820   PetscSF           sf;
1821   const PetscScalar *xx;
1822   PetscScalar       *bb,*mask;
1823   Vec               xmask,lmask;
1824   Mat_SeqBAIJ       *baij = (Mat_SeqBAIJ*)l->B->data;
1825   PetscInt           bs = A->rmap->bs, bs2 = baij->bs2;
1826   PetscScalar       *aa;
1827 #if defined(PETSC_DEBUG)
1828   PetscBool found = PETSC_FALSE;
1829 #endif
1830 
1831   PetscFunctionBegin;
1832   /* Create SF where leaves are input rows and roots are owned rows */
1833   ierr = PetscMalloc1(n, &lrows);CHKERRQ(ierr);
1834   for (r = 0; r < n; ++r) lrows[r] = -1;
1835   ierr = PetscMalloc1(N, &rrows);CHKERRQ(ierr);
1836   for (r = 0; r < N; ++r) {
1837     const PetscInt idx   = rows[r];
1838     PetscBool      found = PETSC_FALSE;
1839     /* Trick for efficient searching for sorted rows */
1840     if (lastidx > idx) p = 0;
1841     lastidx = idx;
1842     for (; p < size; ++p) {
1843       if (idx >= owners[p] && idx < owners[p+1]) {
1844         rrows[r].rank  = p;
1845         rrows[r].index = rows[r] - owners[p];
1846         found = PETSC_TRUE;
1847         break;
1848       }
1849     }
1850     if (!found) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Row %d not found in matrix distribution", idx);
1851   }
1852   ierr = PetscSFCreate(PetscObjectComm((PetscObject) A), &sf);CHKERRQ(ierr);
1853   ierr = PetscSFSetGraph(sf, n, N, NULL, PETSC_OWN_POINTER, rrows, PETSC_OWN_POINTER);CHKERRQ(ierr);
1854   /* Collect flags for rows to be zeroed */
1855   ierr = PetscSFReduceBegin(sf, MPIU_INT, (PetscInt *) rows, lrows, MPI_LOR);CHKERRQ(ierr);
1856   ierr = PetscSFReduceEnd(sf, MPIU_INT, (PetscInt *) rows, lrows, MPI_LOR);CHKERRQ(ierr);
1857   ierr = PetscSFDestroy(&sf);CHKERRQ(ierr);
1858   /* Compress and put in row numbers */
1859   for (r = 0; r < n; ++r) if (lrows[r] >= 0) lrows[len++] = r;
1860   /* zero diagonal part of matrix */
1861   ierr = MatZeroRowsColumns(l->A,len,lrows,diag,x,b);CHKERRQ(ierr);
1862   /* handle off diagonal part of matrix */
1863   ierr = MatGetVecs(A,&xmask,NULL);CHKERRQ(ierr);
1864   ierr = VecDuplicate(l->lvec,&lmask);CHKERRQ(ierr);
1865   ierr = VecGetArray(xmask,&bb);CHKERRQ(ierr);
1866   for (i=0; i<len; i++) bb[lrows[i]] = 1;
1867   ierr = VecRestoreArray(xmask,&bb);CHKERRQ(ierr);
1868   ierr = VecScatterBegin(l->Mvctx,xmask,lmask,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1869   ierr = VecScatterEnd(l->Mvctx,xmask,lmask,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1870   ierr = VecDestroy(&xmask);CHKERRQ(ierr);
1871   if (x) {
1872     ierr = VecScatterBegin(l->Mvctx,x,l->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1873     ierr = VecScatterEnd(l->Mvctx,x,l->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1874     ierr = VecGetArrayRead(l->lvec,&xx);CHKERRQ(ierr);
1875     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1876   }
1877   ierr = VecGetArray(lmask,&mask);CHKERRQ(ierr);
1878   /* remove zeroed rows of off diagonal matrix */
1879   for (i = 0; i < len; ++i) {
1880     row   = lrows[i];
1881     count = (baij->i[row/bs +1] - baij->i[row/bs])*bs;
1882     aa    = ((MatScalar*)(baij->a)) + baij->i[row/bs]*bs2 + (row%bs);
1883     for (k = 0; k < count; ++k) {
1884       aa[0] = 0.0;
1885       aa   += bs;
1886     }
1887   }
1888   /* loop over all elements of off process part of matrix zeroing removed columns*/
1889   for (i = 0; i < l->B->rmap->N; ++i) {
1890     row = i/bs;
1891     for (j = baij->i[row]; j < baij->i[row+1]; ++j) {
1892       for (k = 0; k < bs; ++k) {
1893         col = bs*baij->j[j] + k;
1894         if (PetscAbsScalar(mask[col])) {
1895           aa = ((MatScalar*)(baij->a)) + j*bs2 + (i%bs) + bs*k;
1896           if (b) bb[i] -= aa[0]*xx[col];
1897           aa[0] = 0.0;
1898         }
1899       }
1900     }
1901   }
1902   if (x) {
1903     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1904     ierr = VecRestoreArrayRead(l->lvec,&xx);CHKERRQ(ierr);
1905   }
1906   ierr = VecRestoreArray(lmask,&mask);CHKERRQ(ierr);
1907   ierr = VecDestroy(&lmask);CHKERRQ(ierr);
1908   ierr = PetscFree(lrows);CHKERRQ(ierr);
1909 
1910   /* only change matrix nonzero state if pattern was allowed to be changed */
1911   if (!((Mat_SeqBAIJ*)(l->A->data))->keepnonzeropattern) {
1912     PetscObjectState state = l->A->nonzerostate + l->B->nonzerostate;
1913     ierr = MPI_Allreduce(&state,&A->nonzerostate,1,MPIU_INT64,MPI_SUM,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
1914   }
1915   PetscFunctionReturn(0);
1916 }
1917 
1918 #undef __FUNCT__
1919 #define __FUNCT__ "MatSetUnfactored_MPIBAIJ"
1920 PetscErrorCode MatSetUnfactored_MPIBAIJ(Mat A)
1921 {
1922   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1923   PetscErrorCode ierr;
1924 
1925   PetscFunctionBegin;
1926   ierr = MatSetUnfactored(a->A);CHKERRQ(ierr);
1927   PetscFunctionReturn(0);
1928 }
1929 
1930 static PetscErrorCode MatDuplicate_MPIBAIJ(Mat,MatDuplicateOption,Mat*);
1931 
1932 #undef __FUNCT__
1933 #define __FUNCT__ "MatEqual_MPIBAIJ"
1934 PetscErrorCode MatEqual_MPIBAIJ(Mat A,Mat B,PetscBool  *flag)
1935 {
1936   Mat_MPIBAIJ    *matB = (Mat_MPIBAIJ*)B->data,*matA = (Mat_MPIBAIJ*)A->data;
1937   Mat            a,b,c,d;
1938   PetscBool      flg;
1939   PetscErrorCode ierr;
1940 
1941   PetscFunctionBegin;
1942   a = matA->A; b = matA->B;
1943   c = matB->A; d = matB->B;
1944 
1945   ierr = MatEqual(a,c,&flg);CHKERRQ(ierr);
1946   if (flg) {
1947     ierr = MatEqual(b,d,&flg);CHKERRQ(ierr);
1948   }
1949   ierr = MPI_Allreduce(&flg,flag,1,MPIU_BOOL,MPI_LAND,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
1950   PetscFunctionReturn(0);
1951 }
1952 
1953 #undef __FUNCT__
1954 #define __FUNCT__ "MatCopy_MPIBAIJ"
1955 PetscErrorCode MatCopy_MPIBAIJ(Mat A,Mat B,MatStructure str)
1956 {
1957   PetscErrorCode ierr;
1958   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1959   Mat_MPIBAIJ    *b = (Mat_MPIBAIJ*)B->data;
1960 
1961   PetscFunctionBegin;
1962   /* If the two matrices don't have the same copy implementation, they aren't compatible for fast copy. */
1963   if ((str != SAME_NONZERO_PATTERN) || (A->ops->copy != B->ops->copy)) {
1964     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
1965   } else {
1966     ierr = MatCopy(a->A,b->A,str);CHKERRQ(ierr);
1967     ierr = MatCopy(a->B,b->B,str);CHKERRQ(ierr);
1968   }
1969   PetscFunctionReturn(0);
1970 }
1971 
1972 #undef __FUNCT__
1973 #define __FUNCT__ "MatSetUp_MPIBAIJ"
1974 PetscErrorCode MatSetUp_MPIBAIJ(Mat A)
1975 {
1976   PetscErrorCode ierr;
1977 
1978   PetscFunctionBegin;
1979   ierr = MatMPIBAIJSetPreallocation(A,A->rmap->bs,PETSC_DEFAULT,0,PETSC_DEFAULT,0);CHKERRQ(ierr);
1980   PetscFunctionReturn(0);
1981 }
1982 
1983 #undef __FUNCT__
1984 #define __FUNCT__ "MatAXPY_MPIBAIJ"
1985 PetscErrorCode MatAXPY_MPIBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
1986 {
1987   PetscErrorCode ierr;
1988   Mat_MPIBAIJ    *xx=(Mat_MPIBAIJ*)X->data,*yy=(Mat_MPIBAIJ*)Y->data;
1989   PetscBLASInt   bnz,one=1;
1990   Mat_SeqBAIJ    *x,*y;
1991 
1992   PetscFunctionBegin;
1993   if (str == SAME_NONZERO_PATTERN) {
1994     PetscScalar alpha = a;
1995     x    = (Mat_SeqBAIJ*)xx->A->data;
1996     y    = (Mat_SeqBAIJ*)yy->A->data;
1997     ierr = PetscBLASIntCast(x->nz,&bnz);CHKERRQ(ierr);
1998     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
1999     x    = (Mat_SeqBAIJ*)xx->B->data;
2000     y    = (Mat_SeqBAIJ*)yy->B->data;
2001     ierr = PetscBLASIntCast(x->nz,&bnz);CHKERRQ(ierr);
2002     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
2003   } else {
2004     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
2005   }
2006   PetscFunctionReturn(0);
2007 }
2008 
2009 #undef __FUNCT__
2010 #define __FUNCT__ "MatRealPart_MPIBAIJ"
2011 PetscErrorCode MatRealPart_MPIBAIJ(Mat A)
2012 {
2013   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
2014   PetscErrorCode ierr;
2015 
2016   PetscFunctionBegin;
2017   ierr = MatRealPart(a->A);CHKERRQ(ierr);
2018   ierr = MatRealPart(a->B);CHKERRQ(ierr);
2019   PetscFunctionReturn(0);
2020 }
2021 
2022 #undef __FUNCT__
2023 #define __FUNCT__ "MatImaginaryPart_MPIBAIJ"
2024 PetscErrorCode MatImaginaryPart_MPIBAIJ(Mat A)
2025 {
2026   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
2027   PetscErrorCode ierr;
2028 
2029   PetscFunctionBegin;
2030   ierr = MatImaginaryPart(a->A);CHKERRQ(ierr);
2031   ierr = MatImaginaryPart(a->B);CHKERRQ(ierr);
2032   PetscFunctionReturn(0);
2033 }
2034 
2035 #undef __FUNCT__
2036 #define __FUNCT__ "MatGetSubMatrix_MPIBAIJ"
2037 PetscErrorCode MatGetSubMatrix_MPIBAIJ(Mat mat,IS isrow,IS iscol,MatReuse call,Mat *newmat)
2038 {
2039   PetscErrorCode ierr;
2040   IS             iscol_local;
2041   PetscInt       csize;
2042 
2043   PetscFunctionBegin;
2044   ierr = ISGetLocalSize(iscol,&csize);CHKERRQ(ierr);
2045   if (call == MAT_REUSE_MATRIX) {
2046     ierr = PetscObjectQuery((PetscObject)*newmat,"ISAllGather",(PetscObject*)&iscol_local);CHKERRQ(ierr);
2047     if (!iscol_local) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Submatrix passed in was not used before, cannot reuse");
2048   } else {
2049     ierr = ISAllGather(iscol,&iscol_local);CHKERRQ(ierr);
2050   }
2051   ierr = MatGetSubMatrix_MPIBAIJ_Private(mat,isrow,iscol_local,csize,call,newmat);CHKERRQ(ierr);
2052   if (call == MAT_INITIAL_MATRIX) {
2053     ierr = PetscObjectCompose((PetscObject)*newmat,"ISAllGather",(PetscObject)iscol_local);CHKERRQ(ierr);
2054     ierr = ISDestroy(&iscol_local);CHKERRQ(ierr);
2055   }
2056   PetscFunctionReturn(0);
2057 }
2058 extern PetscErrorCode MatGetSubMatrices_MPIBAIJ_local(Mat,PetscInt,const IS[],const IS[],MatReuse,PetscBool*,PetscBool*,Mat*);
2059 #undef __FUNCT__
2060 #define __FUNCT__ "MatGetSubMatrix_MPIBAIJ_Private"
2061 /*
2062   Not great since it makes two copies of the submatrix, first an SeqBAIJ
2063   in local and then by concatenating the local matrices the end result.
2064   Writing it directly would be much like MatGetSubMatrices_MPIBAIJ()
2065 */
2066 PetscErrorCode MatGetSubMatrix_MPIBAIJ_Private(Mat mat,IS isrow,IS iscol,PetscInt csize,MatReuse call,Mat *newmat)
2067 {
2068   PetscErrorCode ierr;
2069   PetscMPIInt    rank,size;
2070   PetscInt       i,m,n,rstart,row,rend,nz,*cwork,j,bs;
2071   PetscInt       *ii,*jj,nlocal,*dlens,*olens,dlen,olen,jend,mglobal,ncol,nrow;
2072   Mat            M,Mreuse;
2073   MatScalar      *vwork,*aa;
2074   MPI_Comm       comm;
2075   IS             isrow_new, iscol_new;
2076   PetscBool      idflag,allrows, allcols;
2077   Mat_SeqBAIJ    *aij;
2078 
2079   PetscFunctionBegin;
2080   ierr = PetscObjectGetComm((PetscObject)mat,&comm);CHKERRQ(ierr);
2081   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
2082   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2083   /* The compression and expansion should be avoided. Doesn't point
2084      out errors, might change the indices, hence buggey */
2085   ierr = ISCompressIndicesGeneral(mat->rmap->N,mat->rmap->n,mat->rmap->bs,1,&isrow,&isrow_new);CHKERRQ(ierr);
2086   ierr = ISCompressIndicesGeneral(mat->cmap->N,mat->cmap->n,mat->cmap->bs,1,&iscol,&iscol_new);CHKERRQ(ierr);
2087 
2088   /* Check for special case: each processor gets entire matrix columns */
2089   ierr = ISIdentity(iscol,&idflag);CHKERRQ(ierr);
2090   ierr = ISGetLocalSize(iscol,&ncol);CHKERRQ(ierr);
2091   if (idflag && ncol == mat->cmap->N) allcols = PETSC_TRUE;
2092   else allcols = PETSC_FALSE;
2093 
2094   ierr = ISIdentity(isrow,&idflag);CHKERRQ(ierr);
2095   ierr = ISGetLocalSize(isrow,&nrow);CHKERRQ(ierr);
2096   if (idflag && nrow == mat->rmap->N) allrows = PETSC_TRUE;
2097   else allrows = PETSC_FALSE;
2098 
2099   if (call ==  MAT_REUSE_MATRIX) {
2100     ierr = PetscObjectQuery((PetscObject)*newmat,"SubMatrix",(PetscObject*)&Mreuse);CHKERRQ(ierr);
2101     if (!Mreuse) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Submatrix passed in was not used before, cannot reuse");
2102     ierr = MatGetSubMatrices_MPIBAIJ_local(mat,1,&isrow_new,&iscol_new,MAT_REUSE_MATRIX,&allrows,&allcols,&Mreuse);CHKERRQ(ierr);
2103   } else {
2104     ierr = MatGetSubMatrices_MPIBAIJ_local(mat,1,&isrow_new,&iscol_new,MAT_INITIAL_MATRIX,&allrows,&allcols,&Mreuse);CHKERRQ(ierr);
2105   }
2106   ierr = ISDestroy(&isrow_new);CHKERRQ(ierr);
2107   ierr = ISDestroy(&iscol_new);CHKERRQ(ierr);
2108   /*
2109       m - number of local rows
2110       n - number of columns (same on all processors)
2111       rstart - first row in new global matrix generated
2112   */
2113   ierr = MatGetBlockSize(mat,&bs);CHKERRQ(ierr);
2114   ierr = MatGetSize(Mreuse,&m,&n);CHKERRQ(ierr);
2115   m    = m/bs;
2116   n    = n/bs;
2117 
2118   if (call == MAT_INITIAL_MATRIX) {
2119     aij = (Mat_SeqBAIJ*)(Mreuse)->data;
2120     ii  = aij->i;
2121     jj  = aij->j;
2122 
2123     /*
2124         Determine the number of non-zeros in the diagonal and off-diagonal
2125         portions of the matrix in order to do correct preallocation
2126     */
2127 
2128     /* first get start and end of "diagonal" columns */
2129     if (csize == PETSC_DECIDE) {
2130       ierr = ISGetSize(isrow,&mglobal);CHKERRQ(ierr);
2131       if (mglobal == n*bs) { /* square matrix */
2132         nlocal = m;
2133       } else {
2134         nlocal = n/size + ((n % size) > rank);
2135       }
2136     } else {
2137       nlocal = csize/bs;
2138     }
2139     ierr   = MPI_Scan(&nlocal,&rend,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
2140     rstart = rend - nlocal;
2141     if (rank == size - 1 && rend != n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Local column sizes %D do not add up to total number of columns %D",rend,n);
2142 
2143     /* next, compute all the lengths */
2144     ierr  = PetscMalloc2(m+1,&dlens,m+1,&olens);CHKERRQ(ierr);
2145     for (i=0; i<m; i++) {
2146       jend = ii[i+1] - ii[i];
2147       olen = 0;
2148       dlen = 0;
2149       for (j=0; j<jend; j++) {
2150         if (*jj < rstart || *jj >= rend) olen++;
2151         else dlen++;
2152         jj++;
2153       }
2154       olens[i] = olen;
2155       dlens[i] = dlen;
2156     }
2157     ierr = MatCreate(comm,&M);CHKERRQ(ierr);
2158     ierr = MatSetSizes(M,bs*m,bs*nlocal,PETSC_DECIDE,bs*n);CHKERRQ(ierr);
2159     ierr = MatSetType(M,((PetscObject)mat)->type_name);CHKERRQ(ierr);
2160     ierr = MatMPIBAIJSetPreallocation(M,bs,0,dlens,0,olens);CHKERRQ(ierr);
2161     ierr = PetscFree2(dlens,olens);CHKERRQ(ierr);
2162   } else {
2163     PetscInt ml,nl;
2164 
2165     M    = *newmat;
2166     ierr = MatGetLocalSize(M,&ml,&nl);CHKERRQ(ierr);
2167     if (ml != m) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Previous matrix must be same size/layout as request");
2168     ierr = MatZeroEntries(M);CHKERRQ(ierr);
2169     /*
2170          The next two lines are needed so we may call MatSetValues_MPIAIJ() below directly,
2171        rather than the slower MatSetValues().
2172     */
2173     M->was_assembled = PETSC_TRUE;
2174     M->assembled     = PETSC_FALSE;
2175   }
2176   ierr = MatSetOption(M,MAT_ROW_ORIENTED,PETSC_FALSE);CHKERRQ(ierr);
2177   ierr = MatGetOwnershipRange(M,&rstart,&rend);CHKERRQ(ierr);
2178   aij  = (Mat_SeqBAIJ*)(Mreuse)->data;
2179   ii   = aij->i;
2180   jj   = aij->j;
2181   aa   = aij->a;
2182   for (i=0; i<m; i++) {
2183     row   = rstart/bs + i;
2184     nz    = ii[i+1] - ii[i];
2185     cwork = jj;     jj += nz;
2186     vwork = aa;     aa += nz*bs*bs;
2187     ierr  = MatSetValuesBlocked_MPIBAIJ(M,1,&row,nz,cwork,vwork,INSERT_VALUES);CHKERRQ(ierr);
2188   }
2189 
2190   ierr    = MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2191   ierr    = MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2192   *newmat = M;
2193 
2194   /* save submatrix used in processor for next request */
2195   if (call ==  MAT_INITIAL_MATRIX) {
2196     ierr = PetscObjectCompose((PetscObject)M,"SubMatrix",(PetscObject)Mreuse);CHKERRQ(ierr);
2197     ierr = PetscObjectDereference((PetscObject)Mreuse);CHKERRQ(ierr);
2198   }
2199   PetscFunctionReturn(0);
2200 }
2201 
2202 #undef __FUNCT__
2203 #define __FUNCT__ "MatPermute_MPIBAIJ"
2204 PetscErrorCode MatPermute_MPIBAIJ(Mat A,IS rowp,IS colp,Mat *B)
2205 {
2206   MPI_Comm       comm,pcomm;
2207   PetscInt       clocal_size,nrows;
2208   const PetscInt *rows;
2209   PetscMPIInt    size;
2210   IS             crowp,lcolp;
2211   PetscErrorCode ierr;
2212 
2213   PetscFunctionBegin;
2214   ierr = PetscObjectGetComm((PetscObject)A,&comm);CHKERRQ(ierr);
2215   /* make a collective version of 'rowp' */
2216   ierr = PetscObjectGetComm((PetscObject)rowp,&pcomm);CHKERRQ(ierr);
2217   if (pcomm==comm) {
2218     crowp = rowp;
2219   } else {
2220     ierr = ISGetSize(rowp,&nrows);CHKERRQ(ierr);
2221     ierr = ISGetIndices(rowp,&rows);CHKERRQ(ierr);
2222     ierr = ISCreateGeneral(comm,nrows,rows,PETSC_COPY_VALUES,&crowp);CHKERRQ(ierr);
2223     ierr = ISRestoreIndices(rowp,&rows);CHKERRQ(ierr);
2224   }
2225   ierr = ISSetPermutation(crowp);CHKERRQ(ierr);
2226   /* make a local version of 'colp' */
2227   ierr = PetscObjectGetComm((PetscObject)colp,&pcomm);CHKERRQ(ierr);
2228   ierr = MPI_Comm_size(pcomm,&size);CHKERRQ(ierr);
2229   if (size==1) {
2230     lcolp = colp;
2231   } else {
2232     ierr = ISAllGather(colp,&lcolp);CHKERRQ(ierr);
2233   }
2234   ierr = ISSetPermutation(lcolp);CHKERRQ(ierr);
2235   /* now we just get the submatrix */
2236   ierr = MatGetLocalSize(A,NULL,&clocal_size);CHKERRQ(ierr);
2237   ierr = MatGetSubMatrix_MPIBAIJ_Private(A,crowp,lcolp,clocal_size,MAT_INITIAL_MATRIX,B);CHKERRQ(ierr);
2238   /* clean up */
2239   if (pcomm!=comm) {
2240     ierr = ISDestroy(&crowp);CHKERRQ(ierr);
2241   }
2242   if (size>1) {
2243     ierr = ISDestroy(&lcolp);CHKERRQ(ierr);
2244   }
2245   PetscFunctionReturn(0);
2246 }
2247 
2248 #undef __FUNCT__
2249 #define __FUNCT__ "MatGetGhosts_MPIBAIJ"
2250 PetscErrorCode  MatGetGhosts_MPIBAIJ(Mat mat,PetscInt *nghosts,const PetscInt *ghosts[])
2251 {
2252   Mat_MPIBAIJ *baij = (Mat_MPIBAIJ*) mat->data;
2253   Mat_SeqBAIJ *B    = (Mat_SeqBAIJ*)baij->B->data;
2254 
2255   PetscFunctionBegin;
2256   if (nghosts) *nghosts = B->nbs;
2257   if (ghosts) *ghosts = baij->garray;
2258   PetscFunctionReturn(0);
2259 }
2260 
2261 #undef __FUNCT__
2262 #define __FUNCT__ "MatGetSeqNonzeroStructure_MPIBAIJ"
2263 PetscErrorCode MatGetSeqNonzeroStructure_MPIBAIJ(Mat A,Mat *newmat)
2264 {
2265   Mat            B;
2266   Mat_MPIBAIJ    *a  = (Mat_MPIBAIJ*)A->data;
2267   Mat_SeqBAIJ    *ad = (Mat_SeqBAIJ*)a->A->data,*bd = (Mat_SeqBAIJ*)a->B->data;
2268   Mat_SeqAIJ     *b;
2269   PetscErrorCode ierr;
2270   PetscMPIInt    size,rank,*recvcounts = 0,*displs = 0;
2271   PetscInt       sendcount,i,*rstarts = A->rmap->range,n,cnt,j,bs = A->rmap->bs;
2272   PetscInt       m,*garray = a->garray,*lens,*jsendbuf,*a_jsendbuf,*b_jsendbuf;
2273 
2274   PetscFunctionBegin;
2275   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&size);CHKERRQ(ierr);
2276   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A),&rank);CHKERRQ(ierr);
2277 
2278   /* ----------------------------------------------------------------
2279      Tell every processor the number of nonzeros per row
2280   */
2281   ierr = PetscMalloc1((A->rmap->N/bs),&lens);CHKERRQ(ierr);
2282   for (i=A->rmap->rstart/bs; i<A->rmap->rend/bs; i++) {
2283     lens[i] = ad->i[i-A->rmap->rstart/bs+1] - ad->i[i-A->rmap->rstart/bs] + bd->i[i-A->rmap->rstart/bs+1] - bd->i[i-A->rmap->rstart/bs];
2284   }
2285   sendcount = A->rmap->rend/bs - A->rmap->rstart/bs;
2286   ierr      = PetscMalloc1(2*size,&recvcounts);CHKERRQ(ierr);
2287   displs    = recvcounts + size;
2288   for (i=0; i<size; i++) {
2289     recvcounts[i] = A->rmap->range[i+1]/bs - A->rmap->range[i]/bs;
2290     displs[i]     = A->rmap->range[i]/bs;
2291   }
2292 #if defined(PETSC_HAVE_MPI_IN_PLACE)
2293   ierr = MPI_Allgatherv(MPI_IN_PLACE,0,MPI_DATATYPE_NULL,lens,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2294 #else
2295   ierr = MPI_Allgatherv(lens+A->rmap->rstart/bs,sendcount,MPIU_INT,lens,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2296 #endif
2297   /* ---------------------------------------------------------------
2298      Create the sequential matrix of the same type as the local block diagonal
2299   */
2300   ierr = MatCreate(PETSC_COMM_SELF,&B);CHKERRQ(ierr);
2301   ierr = MatSetSizes(B,A->rmap->N/bs,A->cmap->N/bs,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2302   ierr = MatSetType(B,MATSEQAIJ);CHKERRQ(ierr);
2303   ierr = MatSeqAIJSetPreallocation(B,0,lens);CHKERRQ(ierr);
2304   b    = (Mat_SeqAIJ*)B->data;
2305 
2306   /*--------------------------------------------------------------------
2307     Copy my part of matrix column indices over
2308   */
2309   sendcount  = ad->nz + bd->nz;
2310   jsendbuf   = b->j + b->i[rstarts[rank]/bs];
2311   a_jsendbuf = ad->j;
2312   b_jsendbuf = bd->j;
2313   n          = A->rmap->rend/bs - A->rmap->rstart/bs;
2314   cnt        = 0;
2315   for (i=0; i<n; i++) {
2316 
2317     /* put in lower diagonal portion */
2318     m = bd->i[i+1] - bd->i[i];
2319     while (m > 0) {
2320       /* is it above diagonal (in bd (compressed) numbering) */
2321       if (garray[*b_jsendbuf] > A->rmap->rstart/bs + i) break;
2322       jsendbuf[cnt++] = garray[*b_jsendbuf++];
2323       m--;
2324     }
2325 
2326     /* put in diagonal portion */
2327     for (j=ad->i[i]; j<ad->i[i+1]; j++) {
2328       jsendbuf[cnt++] = A->rmap->rstart/bs + *a_jsendbuf++;
2329     }
2330 
2331     /* put in upper diagonal portion */
2332     while (m-- > 0) {
2333       jsendbuf[cnt++] = garray[*b_jsendbuf++];
2334     }
2335   }
2336   if (cnt != sendcount) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Corrupted PETSc matrix: nz given %D actual nz %D",sendcount,cnt);
2337 
2338   /*--------------------------------------------------------------------
2339     Gather all column indices to all processors
2340   */
2341   for (i=0; i<size; i++) {
2342     recvcounts[i] = 0;
2343     for (j=A->rmap->range[i]/bs; j<A->rmap->range[i+1]/bs; j++) {
2344       recvcounts[i] += lens[j];
2345     }
2346   }
2347   displs[0] = 0;
2348   for (i=1; i<size; i++) {
2349     displs[i] = displs[i-1] + recvcounts[i-1];
2350   }
2351 #if defined(PETSC_HAVE_MPI_IN_PLACE)
2352   ierr = MPI_Allgatherv(MPI_IN_PLACE,0,MPI_DATATYPE_NULL,b->j,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2353 #else
2354   ierr = MPI_Allgatherv(jsendbuf,sendcount,MPIU_INT,b->j,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2355 #endif
2356   /*--------------------------------------------------------------------
2357     Assemble the matrix into useable form (note numerical values not yet set)
2358   */
2359   /* set the b->ilen (length of each row) values */
2360   ierr = PetscMemcpy(b->ilen,lens,(A->rmap->N/bs)*sizeof(PetscInt));CHKERRQ(ierr);
2361   /* set the b->i indices */
2362   b->i[0] = 0;
2363   for (i=1; i<=A->rmap->N/bs; i++) {
2364     b->i[i] = b->i[i-1] + lens[i-1];
2365   }
2366   ierr = PetscFree(lens);CHKERRQ(ierr);
2367   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2368   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2369   ierr = PetscFree(recvcounts);CHKERRQ(ierr);
2370 
2371   if (A->symmetric) {
2372     ierr = MatSetOption(B,MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
2373   } else if (A->hermitian) {
2374     ierr = MatSetOption(B,MAT_HERMITIAN,PETSC_TRUE);CHKERRQ(ierr);
2375   } else if (A->structurally_symmetric) {
2376     ierr = MatSetOption(B,MAT_STRUCTURALLY_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
2377   }
2378   *newmat = B;
2379   PetscFunctionReturn(0);
2380 }
2381 
2382 #undef __FUNCT__
2383 #define __FUNCT__ "MatSOR_MPIBAIJ"
2384 PetscErrorCode MatSOR_MPIBAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2385 {
2386   Mat_MPIBAIJ    *mat = (Mat_MPIBAIJ*)matin->data;
2387   PetscErrorCode ierr;
2388   Vec            bb1 = 0;
2389 
2390   PetscFunctionBegin;
2391   if (flag == SOR_APPLY_UPPER) {
2392     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2393     PetscFunctionReturn(0);
2394   }
2395 
2396   if (its > 1 || ~flag & SOR_ZERO_INITIAL_GUESS) {
2397     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2398   }
2399 
2400   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
2401     if (flag & SOR_ZERO_INITIAL_GUESS) {
2402       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2403       its--;
2404     }
2405 
2406     while (its--) {
2407       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2408       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2409 
2410       /* update rhs: bb1 = bb - B*x */
2411       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2412       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);CHKERRQ(ierr);
2413 
2414       /* local sweep */
2415       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,1,xx);CHKERRQ(ierr);
2416     }
2417   } else if (flag & SOR_LOCAL_FORWARD_SWEEP) {
2418     if (flag & SOR_ZERO_INITIAL_GUESS) {
2419       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2420       its--;
2421     }
2422     while (its--) {
2423       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2424       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2425 
2426       /* update rhs: bb1 = bb - B*x */
2427       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2428       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);CHKERRQ(ierr);
2429 
2430       /* local sweep */
2431       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_FORWARD_SWEEP,fshift,lits,1,xx);CHKERRQ(ierr);
2432     }
2433   } else if (flag & SOR_LOCAL_BACKWARD_SWEEP) {
2434     if (flag & SOR_ZERO_INITIAL_GUESS) {
2435       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2436       its--;
2437     }
2438     while (its--) {
2439       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2440       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2441 
2442       /* update rhs: bb1 = bb - B*x */
2443       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2444       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);CHKERRQ(ierr);
2445 
2446       /* local sweep */
2447       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_BACKWARD_SWEEP,fshift,lits,1,xx);CHKERRQ(ierr);
2448     }
2449   } else SETERRQ(PetscObjectComm((PetscObject)matin),PETSC_ERR_SUP,"Parallel version of SOR requested not supported");
2450 
2451   ierr = VecDestroy(&bb1);CHKERRQ(ierr);
2452   PetscFunctionReturn(0);
2453 }
2454 
2455 #undef __FUNCT__
2456 #define __FUNCT__ "MatGetColumnNorms_MPIBAIJ"
2457 PetscErrorCode MatGetColumnNorms_MPIBAIJ(Mat A,NormType type,PetscReal *norms)
2458 {
2459   PetscErrorCode ierr;
2460   Mat_MPIBAIJ    *aij = (Mat_MPIBAIJ*)A->data;
2461   PetscInt       N,i,*garray = aij->garray;
2462   PetscInt       ib,jb,bs = A->rmap->bs;
2463   Mat_SeqBAIJ    *a_aij = (Mat_SeqBAIJ*) aij->A->data;
2464   MatScalar      *a_val = a_aij->a;
2465   Mat_SeqBAIJ    *b_aij = (Mat_SeqBAIJ*) aij->B->data;
2466   MatScalar      *b_val = b_aij->a;
2467   PetscReal      *work;
2468 
2469   PetscFunctionBegin;
2470   ierr = MatGetSize(A,NULL,&N);CHKERRQ(ierr);
2471   ierr = PetscCalloc1(N,&work);CHKERRQ(ierr);
2472   if (type == NORM_2) {
2473     for (i=a_aij->i[0]; i<a_aij->i[aij->A->rmap->n/bs]; i++) {
2474       for (jb=0; jb<bs; jb++) {
2475         for (ib=0; ib<bs; ib++) {
2476           work[A->cmap->rstart + a_aij->j[i] * bs + jb] += PetscAbsScalar(*a_val * *a_val);
2477           a_val++;
2478         }
2479       }
2480     }
2481     for (i=b_aij->i[0]; i<b_aij->i[aij->B->rmap->n/bs]; i++) {
2482       for (jb=0; jb<bs; jb++) {
2483         for (ib=0; ib<bs; ib++) {
2484           work[garray[b_aij->j[i]] * bs + jb] += PetscAbsScalar(*b_val * *b_val);
2485           b_val++;
2486         }
2487       }
2488     }
2489   } else if (type == NORM_1) {
2490     for (i=a_aij->i[0]; i<a_aij->i[aij->A->rmap->n/bs]; i++) {
2491       for (jb=0; jb<bs; jb++) {
2492         for (ib=0; ib<bs; ib++) {
2493           work[A->cmap->rstart + a_aij->j[i] * bs + jb] += PetscAbsScalar(*a_val);
2494           a_val++;
2495         }
2496       }
2497     }
2498     for (i=b_aij->i[0]; i<b_aij->i[aij->B->rmap->n/bs]; i++) {
2499       for (jb=0; jb<bs; jb++) {
2500        for (ib=0; ib<bs; ib++) {
2501           work[garray[b_aij->j[i]] * bs + jb] += PetscAbsScalar(*b_val);
2502           b_val++;
2503         }
2504       }
2505     }
2506   } else if (type == NORM_INFINITY) {
2507     for (i=a_aij->i[0]; i<a_aij->i[aij->A->rmap->n/bs]; i++) {
2508       for (jb=0; jb<bs; jb++) {
2509         for (ib=0; ib<bs; ib++) {
2510           int col = A->cmap->rstart + a_aij->j[i] * bs + jb;
2511           work[col] = PetscMax(PetscAbsScalar(*a_val), work[col]);
2512           a_val++;
2513         }
2514       }
2515     }
2516     for (i=b_aij->i[0]; i<b_aij->i[aij->B->rmap->n/bs]; i++) {
2517       for (jb=0; jb<bs; jb++) {
2518         for (ib=0; ib<bs; ib++) {
2519           int col = garray[b_aij->j[i]] * bs + jb;
2520           work[col] = PetscMax(PetscAbsScalar(*b_val), work[col]);
2521           b_val++;
2522         }
2523       }
2524     }
2525   } else SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONG,"Unknown NormType");
2526   if (type == NORM_INFINITY) {
2527     ierr = MPI_Allreduce(work,norms,N,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2528   } else {
2529     ierr = MPI_Allreduce(work,norms,N,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2530   }
2531   ierr = PetscFree(work);CHKERRQ(ierr);
2532   if (type == NORM_2) {
2533     for (i=0; i<N; i++) norms[i] = PetscSqrtReal(norms[i]);
2534   }
2535   PetscFunctionReturn(0);
2536 }
2537 
2538 #undef __FUNCT__
2539 #define __FUNCT__ "MatInvertBlockDiagonal_MPIBAIJ"
2540 PetscErrorCode  MatInvertBlockDiagonal_MPIBAIJ(Mat A,const PetscScalar **values)
2541 {
2542   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*) A->data;
2543   PetscErrorCode ierr;
2544 
2545   PetscFunctionBegin;
2546   ierr = MatInvertBlockDiagonal(a->A,values);CHKERRQ(ierr);
2547   PetscFunctionReturn(0);
2548 }
2549 
2550 
2551 /* -------------------------------------------------------------------*/
2552 static struct _MatOps MatOps_Values = {MatSetValues_MPIBAIJ,
2553                                        MatGetRow_MPIBAIJ,
2554                                        MatRestoreRow_MPIBAIJ,
2555                                        MatMult_MPIBAIJ,
2556                                 /* 4*/ MatMultAdd_MPIBAIJ,
2557                                        MatMultTranspose_MPIBAIJ,
2558                                        MatMultTransposeAdd_MPIBAIJ,
2559                                        0,
2560                                        0,
2561                                        0,
2562                                 /*10*/ 0,
2563                                        0,
2564                                        0,
2565                                        MatSOR_MPIBAIJ,
2566                                        MatTranspose_MPIBAIJ,
2567                                 /*15*/ MatGetInfo_MPIBAIJ,
2568                                        MatEqual_MPIBAIJ,
2569                                        MatGetDiagonal_MPIBAIJ,
2570                                        MatDiagonalScale_MPIBAIJ,
2571                                        MatNorm_MPIBAIJ,
2572                                 /*20*/ MatAssemblyBegin_MPIBAIJ,
2573                                        MatAssemblyEnd_MPIBAIJ,
2574                                        MatSetOption_MPIBAIJ,
2575                                        MatZeroEntries_MPIBAIJ,
2576                                 /*24*/ MatZeroRows_MPIBAIJ,
2577                                        0,
2578                                        0,
2579                                        0,
2580                                        0,
2581                                 /*29*/ MatSetUp_MPIBAIJ,
2582                                        0,
2583                                        0,
2584                                        0,
2585                                        0,
2586                                 /*34*/ MatDuplicate_MPIBAIJ,
2587                                        0,
2588                                        0,
2589                                        0,
2590                                        0,
2591                                 /*39*/ MatAXPY_MPIBAIJ,
2592                                        MatGetSubMatrices_MPIBAIJ,
2593                                        MatIncreaseOverlap_MPIBAIJ,
2594                                        MatGetValues_MPIBAIJ,
2595                                        MatCopy_MPIBAIJ,
2596                                 /*44*/ 0,
2597                                        MatScale_MPIBAIJ,
2598                                        0,
2599                                        0,
2600                                        MatZeroRowsColumns_MPIBAIJ,
2601                                 /*49*/ 0,
2602                                        0,
2603                                        0,
2604                                        0,
2605                                        0,
2606                                 /*54*/ MatFDColoringCreate_MPIXAIJ,
2607                                        0,
2608                                        MatSetUnfactored_MPIBAIJ,
2609                                        MatPermute_MPIBAIJ,
2610                                        MatSetValuesBlocked_MPIBAIJ,
2611                                 /*59*/ MatGetSubMatrix_MPIBAIJ,
2612                                        MatDestroy_MPIBAIJ,
2613                                        MatView_MPIBAIJ,
2614                                        0,
2615                                        0,
2616                                 /*64*/ 0,
2617                                        0,
2618                                        0,
2619                                        0,
2620                                        0,
2621                                 /*69*/ MatGetRowMaxAbs_MPIBAIJ,
2622                                        0,
2623                                        0,
2624                                        0,
2625                                        0,
2626                                 /*74*/ 0,
2627                                        MatFDColoringApply_BAIJ,
2628                                        0,
2629                                        0,
2630                                        0,
2631                                 /*79*/ 0,
2632                                        0,
2633                                        0,
2634                                        0,
2635                                        MatLoad_MPIBAIJ,
2636                                 /*84*/ 0,
2637                                        0,
2638                                        0,
2639                                        0,
2640                                        0,
2641                                 /*89*/ 0,
2642                                        0,
2643                                        0,
2644                                        0,
2645                                        0,
2646                                 /*94*/ 0,
2647                                        0,
2648                                        0,
2649                                        0,
2650                                        0,
2651                                 /*99*/ 0,
2652                                        0,
2653                                        0,
2654                                        0,
2655                                        0,
2656                                 /*104*/0,
2657                                        MatRealPart_MPIBAIJ,
2658                                        MatImaginaryPart_MPIBAIJ,
2659                                        0,
2660                                        0,
2661                                 /*109*/0,
2662                                        0,
2663                                        0,
2664                                        0,
2665                                        0,
2666                                 /*114*/MatGetSeqNonzeroStructure_MPIBAIJ,
2667                                        0,
2668                                        MatGetGhosts_MPIBAIJ,
2669                                        0,
2670                                        0,
2671                                 /*119*/0,
2672                                        0,
2673                                        0,
2674                                        0,
2675                                        MatGetMultiProcBlock_MPIBAIJ,
2676                                 /*124*/0,
2677                                        MatGetColumnNorms_MPIBAIJ,
2678                                        MatInvertBlockDiagonal_MPIBAIJ,
2679                                        0,
2680                                        0,
2681                                /*129*/ 0,
2682                                        0,
2683                                        0,
2684                                        0,
2685                                        0,
2686                                /*134*/ 0,
2687                                        0,
2688                                        0,
2689                                        0,
2690                                        0,
2691                                /*139*/ 0,
2692                                        0,
2693                                        0,
2694                                        MatFDColoringSetUp_MPIXAIJ
2695 };
2696 
2697 #undef __FUNCT__
2698 #define __FUNCT__ "MatGetDiagonalBlock_MPIBAIJ"
2699 PetscErrorCode  MatGetDiagonalBlock_MPIBAIJ(Mat A,Mat *a)
2700 {
2701   PetscFunctionBegin;
2702   *a = ((Mat_MPIBAIJ*)A->data)->A;
2703   PetscFunctionReturn(0);
2704 }
2705 
2706 PETSC_EXTERN PetscErrorCode MatConvert_MPIBAIJ_MPISBAIJ(Mat, MatType,MatReuse,Mat*);
2707 
2708 #undef __FUNCT__
2709 #define __FUNCT__ "MatMPIBAIJSetPreallocationCSR_MPIBAIJ"
2710 PetscErrorCode MatMPIBAIJSetPreallocationCSR_MPIBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
2711 {
2712   PetscInt       m,rstart,cstart,cend;
2713   PetscInt       i,j,d,nz,nz_max=0,*d_nnz=0,*o_nnz=0;
2714   const PetscInt *JJ    =0;
2715   PetscScalar    *values=0;
2716   PetscBool      roworiented = ((Mat_MPIBAIJ*)B->data)->roworiented;
2717   PetscErrorCode ierr;
2718 
2719   PetscFunctionBegin;
2720   ierr   = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
2721   ierr   = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
2722   ierr   = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
2723   ierr   = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
2724   ierr   = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
2725   m      = B->rmap->n/bs;
2726   rstart = B->rmap->rstart/bs;
2727   cstart = B->cmap->rstart/bs;
2728   cend   = B->cmap->rend/bs;
2729 
2730   if (ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"ii[0] must be 0 but it is %D",ii[0]);
2731   ierr = PetscMalloc2(m,&d_nnz,m,&o_nnz);CHKERRQ(ierr);
2732   for (i=0; i<m; i++) {
2733     nz = ii[i+1] - ii[i];
2734     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Local row %D has a negative number of columns %D",i,nz);
2735     nz_max = PetscMax(nz_max,nz);
2736     JJ     = jj + ii[i];
2737     for (j=0; j<nz; j++) {
2738       if (*JJ >= cstart) break;
2739       JJ++;
2740     }
2741     d = 0;
2742     for (; j<nz; j++) {
2743       if (*JJ++ >= cend) break;
2744       d++;
2745     }
2746     d_nnz[i] = d;
2747     o_nnz[i] = nz - d;
2748   }
2749   ierr = MatMPIBAIJSetPreallocation(B,bs,0,d_nnz,0,o_nnz);CHKERRQ(ierr);
2750   ierr = PetscFree2(d_nnz,o_nnz);CHKERRQ(ierr);
2751 
2752   values = (PetscScalar*)V;
2753   if (!values) {
2754     ierr = PetscMalloc1(bs*bs*nz_max,&values);CHKERRQ(ierr);
2755     ierr = PetscMemzero(values,bs*bs*nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
2756   }
2757   for (i=0; i<m; i++) {
2758     PetscInt          row    = i + rstart;
2759     PetscInt          ncols  = ii[i+1] - ii[i];
2760     const PetscInt    *icols = jj + ii[i];
2761     if (!roworiented) {         /* block ordering matches the non-nested layout of MatSetValues so we can insert entire rows */
2762       const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
2763       ierr = MatSetValuesBlocked_MPIBAIJ(B,1,&row,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
2764     } else {                    /* block ordering does not match so we can only insert one block at a time. */
2765       PetscInt j;
2766       for (j=0; j<ncols; j++) {
2767         const PetscScalar *svals = values + (V ? (bs*bs*(ii[i]+j)) : 0);
2768         ierr = MatSetValuesBlocked_MPIBAIJ(B,1,&row,1,&icols[j],svals,INSERT_VALUES);CHKERRQ(ierr);
2769       }
2770     }
2771   }
2772 
2773   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
2774   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2775   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2776   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
2777   PetscFunctionReturn(0);
2778 }
2779 
2780 #undef __FUNCT__
2781 #define __FUNCT__ "MatMPIBAIJSetPreallocationCSR"
2782 /*@C
2783    MatMPIBAIJSetPreallocationCSR - Allocates memory for a sparse parallel matrix in BAIJ format
2784    (the default parallel PETSc format).
2785 
2786    Collective on MPI_Comm
2787 
2788    Input Parameters:
2789 +  A - the matrix
2790 .  bs - the block size
2791 .  i - the indices into j for the start of each local row (starts with zero)
2792 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
2793 -  v - optional values in the matrix
2794 
2795    Level: developer
2796 
2797    Notes: The order of the entries in values is specified by the MatOption MAT_ROW_ORIENTED.  For example, C programs
2798    may want to use the default MAT_ROW_ORIENTED=PETSC_TRUE and use an array v[nnz][bs][bs] where the second index is
2799    over rows within a block and the last index is over columns within a block row.  Fortran programs will likely set
2800    MAT_ROW_ORIENTED=PETSC_FALSE and use a Fortran array v(bs,bs,nnz) in which the first index is over rows within a
2801    block column and the second index is over columns within a block.
2802 
2803 .keywords: matrix, aij, compressed row, sparse, parallel
2804 
2805 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIBAIJSetPreallocation(), MatCreateAIJ(), MPIAIJ, MatCreateMPIBAIJWithArrays(), MPIBAIJ
2806 @*/
2807 PetscErrorCode  MatMPIBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
2808 {
2809   PetscErrorCode ierr;
2810 
2811   PetscFunctionBegin;
2812   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
2813   PetscValidType(B,1);
2814   PetscValidLogicalCollectiveInt(B,bs,2);
2815   ierr = PetscTryMethod(B,"MatMPIBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));CHKERRQ(ierr);
2816   PetscFunctionReturn(0);
2817 }
2818 
2819 #undef __FUNCT__
2820 #define __FUNCT__ "MatMPIBAIJSetPreallocation_MPIBAIJ"
2821 PetscErrorCode  MatMPIBAIJSetPreallocation_MPIBAIJ(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt *d_nnz,PetscInt o_nz,const PetscInt *o_nnz)
2822 {
2823   Mat_MPIBAIJ    *b;
2824   PetscErrorCode ierr;
2825   PetscInt       i;
2826 
2827   PetscFunctionBegin;
2828   ierr = MatSetBlockSize(B,PetscAbs(bs));CHKERRQ(ierr);
2829   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
2830   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
2831   ierr = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
2832 
2833   if (d_nnz) {
2834     for (i=0; i<B->rmap->n/bs; i++) {
2835       if (d_nnz[i] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"d_nnz cannot be less than -1: local row %D value %D",i,d_nnz[i]);
2836     }
2837   }
2838   if (o_nnz) {
2839     for (i=0; i<B->rmap->n/bs; i++) {
2840       if (o_nnz[i] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"o_nnz cannot be less than -1: local row %D value %D",i,o_nnz[i]);
2841     }
2842   }
2843 
2844   b      = (Mat_MPIBAIJ*)B->data;
2845   b->bs2 = bs*bs;
2846   b->mbs = B->rmap->n/bs;
2847   b->nbs = B->cmap->n/bs;
2848   b->Mbs = B->rmap->N/bs;
2849   b->Nbs = B->cmap->N/bs;
2850 
2851   for (i=0; i<=b->size; i++) {
2852     b->rangebs[i] = B->rmap->range[i]/bs;
2853   }
2854   b->rstartbs = B->rmap->rstart/bs;
2855   b->rendbs   = B->rmap->rend/bs;
2856   b->cstartbs = B->cmap->rstart/bs;
2857   b->cendbs   = B->cmap->rend/bs;
2858 
2859   if (!B->preallocated) {
2860     ierr = MatCreate(PETSC_COMM_SELF,&b->A);CHKERRQ(ierr);
2861     ierr = MatSetSizes(b->A,B->rmap->n,B->cmap->n,B->rmap->n,B->cmap->n);CHKERRQ(ierr);
2862     ierr = MatSetType(b->A,MATSEQBAIJ);CHKERRQ(ierr);
2863     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->A);CHKERRQ(ierr);
2864     ierr = MatCreate(PETSC_COMM_SELF,&b->B);CHKERRQ(ierr);
2865     ierr = MatSetSizes(b->B,B->rmap->n,B->cmap->N,B->rmap->n,B->cmap->N);CHKERRQ(ierr);
2866     ierr = MatSetType(b->B,MATSEQBAIJ);CHKERRQ(ierr);
2867     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->B);CHKERRQ(ierr);
2868     ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),bs,&B->bstash);CHKERRQ(ierr);
2869   }
2870 
2871   ierr = MatSeqBAIJSetPreallocation(b->A,bs,d_nz,d_nnz);CHKERRQ(ierr);
2872   ierr = MatSeqBAIJSetPreallocation(b->B,bs,o_nz,o_nnz);CHKERRQ(ierr);
2873   B->preallocated = PETSC_TRUE;
2874   PetscFunctionReturn(0);
2875 }
2876 
2877 extern PetscErrorCode  MatDiagonalScaleLocal_MPIBAIJ(Mat,Vec);
2878 extern PetscErrorCode  MatSetHashTableFactor_MPIBAIJ(Mat,PetscReal);
2879 
2880 #undef __FUNCT__
2881 #define __FUNCT__ "MatConvert_MPIBAIJ_MPIAdj"
2882 PETSC_EXTERN PetscErrorCode MatConvert_MPIBAIJ_MPIAdj(Mat B, MatType newtype,MatReuse reuse,Mat *adj)
2883 {
2884   Mat_MPIBAIJ    *b = (Mat_MPIBAIJ*)B->data;
2885   PetscErrorCode ierr;
2886   Mat_SeqBAIJ    *d  = (Mat_SeqBAIJ*) b->A->data,*o = (Mat_SeqBAIJ*) b->B->data;
2887   PetscInt       M   = B->rmap->n/B->rmap->bs,i,*ii,*jj,cnt,j,k,rstart = B->rmap->rstart/B->rmap->bs;
2888   const PetscInt *id = d->i, *jd = d->j, *io = o->i, *jo = o->j, *garray = b->garray;
2889 
2890   PetscFunctionBegin;
2891   ierr  = PetscMalloc1((M+1),&ii);CHKERRQ(ierr);
2892   ii[0] = 0;
2893   for (i=0; i<M; i++) {
2894     if ((id[i+1] - id[i]) < 0) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Indices wrong %D %D %D",i,id[i],id[i+1]);
2895     if ((io[i+1] - io[i]) < 0) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Indices wrong %D %D %D",i,io[i],io[i+1]);
2896     ii[i+1] = ii[i] + id[i+1] - id[i] + io[i+1] - io[i];
2897     /* remove one from count of matrix has diagonal */
2898     for (j=id[i]; j<id[i+1]; j++) {
2899       if (jd[j] == i) {ii[i+1]--;break;}
2900     }
2901   }
2902   ierr = PetscMalloc1(ii[M],&jj);CHKERRQ(ierr);
2903   cnt  = 0;
2904   for (i=0; i<M; i++) {
2905     for (j=io[i]; j<io[i+1]; j++) {
2906       if (garray[jo[j]] > rstart) break;
2907       jj[cnt++] = garray[jo[j]];
2908     }
2909     for (k=id[i]; k<id[i+1]; k++) {
2910       if (jd[k] != i) {
2911         jj[cnt++] = rstart + jd[k];
2912       }
2913     }
2914     for (; j<io[i+1]; j++) {
2915       jj[cnt++] = garray[jo[j]];
2916     }
2917   }
2918   ierr = MatCreateMPIAdj(PetscObjectComm((PetscObject)B),M,B->cmap->N/B->rmap->bs,ii,jj,NULL,adj);CHKERRQ(ierr);
2919   PetscFunctionReturn(0);
2920 }
2921 
2922 #include <../src/mat/impls/aij/mpi/mpiaij.h>
2923 
2924 PETSC_EXTERN PetscErrorCode MatConvert_SeqBAIJ_SeqAIJ(Mat,MatType,MatReuse,Mat*);
2925 
2926 #undef __FUNCT__
2927 #define __FUNCT__ "MatConvert_MPIBAIJ_MPIAIJ"
2928 PETSC_EXTERN PetscErrorCode MatConvert_MPIBAIJ_MPIAIJ(Mat A,MatType newtype,MatReuse reuse,Mat *newmat)
2929 {
2930   PetscErrorCode ierr;
2931   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
2932   Mat            B;
2933   Mat_MPIAIJ     *b;
2934 
2935   PetscFunctionBegin;
2936   if (!A->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Matrix must be assembled");
2937 
2938   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2939   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2940   ierr = MatSetType(B,MATMPIAIJ);CHKERRQ(ierr);
2941   ierr = MatSeqAIJSetPreallocation(B,0,NULL);CHKERRQ(ierr);
2942   ierr = MatMPIAIJSetPreallocation(B,0,NULL,0,NULL);CHKERRQ(ierr);
2943   b    = (Mat_MPIAIJ*) B->data;
2944 
2945   ierr = MatDestroy(&b->A);CHKERRQ(ierr);
2946   ierr = MatDestroy(&b->B);CHKERRQ(ierr);
2947   ierr = MatDisAssemble_MPIBAIJ(A);CHKERRQ(ierr);
2948   ierr = MatConvert_SeqBAIJ_SeqAIJ(a->A, MATSEQAIJ, MAT_INITIAL_MATRIX, &b->A);CHKERRQ(ierr);
2949   ierr = MatConvert_SeqBAIJ_SeqAIJ(a->B, MATSEQAIJ, MAT_INITIAL_MATRIX, &b->B);CHKERRQ(ierr);
2950   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2951   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2952   ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2953   ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2954   if (reuse == MAT_REUSE_MATRIX) {
2955     ierr = MatHeaderReplace(A,B);CHKERRQ(ierr);
2956   } else {
2957    *newmat = B;
2958   }
2959   PetscFunctionReturn(0);
2960 }
2961 
2962 #if defined(PETSC_HAVE_MUMPS)
2963 PETSC_EXTERN PetscErrorCode MatGetFactor_baij_mumps(Mat,MatFactorType,Mat*);
2964 #endif
2965 
2966 /*MC
2967    MATMPIBAIJ - MATMPIBAIJ = "mpibaij" - A matrix type to be used for distributed block sparse matrices.
2968 
2969    Options Database Keys:
2970 + -mat_type mpibaij - sets the matrix type to "mpibaij" during a call to MatSetFromOptions()
2971 . -mat_block_size <bs> - set the blocksize used to store the matrix
2972 - -mat_use_hash_table <fact>
2973 
2974   Level: beginner
2975 
2976 .seealso: MatCreateMPIBAIJ
2977 M*/
2978 
2979 PETSC_EXTERN PetscErrorCode MatConvert_MPIBAIJ_MPIBSTRM(Mat,MatType,MatReuse,Mat*);
2980 
2981 #undef __FUNCT__
2982 #define __FUNCT__ "MatCreate_MPIBAIJ"
2983 PETSC_EXTERN PetscErrorCode MatCreate_MPIBAIJ(Mat B)
2984 {
2985   Mat_MPIBAIJ    *b;
2986   PetscErrorCode ierr;
2987   PetscBool      flg;
2988 
2989   PetscFunctionBegin;
2990   ierr    = PetscNewLog(B,&b);CHKERRQ(ierr);
2991   B->data = (void*)b;
2992 
2993   ierr         = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
2994   B->assembled = PETSC_FALSE;
2995 
2996   B->insertmode = NOT_SET_VALUES;
2997   ierr          = MPI_Comm_rank(PetscObjectComm((PetscObject)B),&b->rank);CHKERRQ(ierr);
2998   ierr          = MPI_Comm_size(PetscObjectComm((PetscObject)B),&b->size);CHKERRQ(ierr);
2999 
3000   /* build local table of row and column ownerships */
3001   ierr = PetscMalloc1((b->size+1),&b->rangebs);CHKERRQ(ierr);
3002 
3003   /* build cache for off array entries formed */
3004   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),1,&B->stash);CHKERRQ(ierr);
3005 
3006   b->donotstash  = PETSC_FALSE;
3007   b->colmap      = NULL;
3008   b->garray      = NULL;
3009   b->roworiented = PETSC_TRUE;
3010 
3011   /* stuff used in block assembly */
3012   b->barray = 0;
3013 
3014   /* stuff used for matrix vector multiply */
3015   b->lvec  = 0;
3016   b->Mvctx = 0;
3017 
3018   /* stuff for MatGetRow() */
3019   b->rowindices   = 0;
3020   b->rowvalues    = 0;
3021   b->getrowactive = PETSC_FALSE;
3022 
3023   /* hash table stuff */
3024   b->ht           = 0;
3025   b->hd           = 0;
3026   b->ht_size      = 0;
3027   b->ht_flag      = PETSC_FALSE;
3028   b->ht_fact      = 0;
3029   b->ht_total_ct  = 0;
3030   b->ht_insert_ct = 0;
3031 
3032   /* stuff for MatGetSubMatrices_MPIBAIJ_local() */
3033   b->ijonly = PETSC_FALSE;
3034 
3035   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)B),NULL,"Options for loading MPIBAIJ matrix 1","Mat");CHKERRQ(ierr);
3036   ierr = PetscOptionsBool("-mat_use_hash_table","Use hash table to save memory in constructing matrix","MatSetOption",PETSC_FALSE,&flg,NULL);CHKERRQ(ierr);
3037   if (flg) {
3038     PetscReal fact = 1.39;
3039     ierr = MatSetOption(B,MAT_USE_HASH_TABLE,PETSC_TRUE);CHKERRQ(ierr);
3040     ierr = PetscOptionsReal("-mat_use_hash_table","Use hash table factor","MatMPIBAIJSetHashTableFactor",fact,&fact,NULL);CHKERRQ(ierr);
3041     if (fact <= 1.0) fact = 1.39;
3042     ierr = MatMPIBAIJSetHashTableFactor(B,fact);CHKERRQ(ierr);
3043     ierr = PetscInfo1(B,"Hash table Factor used %5.2f\n",fact);CHKERRQ(ierr);
3044   }
3045   ierr = PetscOptionsEnd();CHKERRQ(ierr);
3046 
3047 #if defined(PETSC_HAVE_MUMPS)
3048   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_mumps_C",MatGetFactor_baij_mumps);CHKERRQ(ierr);
3049 #endif
3050   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpiadj_C",MatConvert_MPIBAIJ_MPIAdj);CHKERRQ(ierr);
3051   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpiaij_C",MatConvert_MPIBAIJ_MPIAIJ);CHKERRQ(ierr);
3052   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpisbaij_C",MatConvert_MPIBAIJ_MPISBAIJ);CHKERRQ(ierr);
3053   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_MPIBAIJ);CHKERRQ(ierr);
3054   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_MPIBAIJ);CHKERRQ(ierr);
3055   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetDiagonalBlock_C",MatGetDiagonalBlock_MPIBAIJ);CHKERRQ(ierr);
3056   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPIBAIJSetPreallocation_C",MatMPIBAIJSetPreallocation_MPIBAIJ);CHKERRQ(ierr);
3057   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPIBAIJSetPreallocationCSR_C",MatMPIBAIJSetPreallocationCSR_MPIBAIJ);CHKERRQ(ierr);
3058   ierr = PetscObjectComposeFunction((PetscObject)B,"MatDiagonalScaleLocal_C",MatDiagonalScaleLocal_MPIBAIJ);CHKERRQ(ierr);
3059   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSetHashTableFactor_C",MatSetHashTableFactor_MPIBAIJ);CHKERRQ(ierr);
3060   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpibstrm_C",MatConvert_MPIBAIJ_MPIBSTRM);CHKERRQ(ierr);
3061   ierr = PetscObjectChangeTypeName((PetscObject)B,MATMPIBAIJ);CHKERRQ(ierr);
3062   PetscFunctionReturn(0);
3063 }
3064 
3065 /*MC
3066    MATBAIJ - MATBAIJ = "baij" - A matrix type to be used for block sparse matrices.
3067 
3068    This matrix type is identical to MATSEQBAIJ when constructed with a single process communicator,
3069    and MATMPIBAIJ otherwise.
3070 
3071    Options Database Keys:
3072 . -mat_type baij - sets the matrix type to "baij" during a call to MatSetFromOptions()
3073 
3074   Level: beginner
3075 
3076 .seealso: MatCreateBAIJ(),MATSEQBAIJ,MATMPIBAIJ, MatMPIBAIJSetPreallocation(), MatMPIBAIJSetPreallocationCSR()
3077 M*/
3078 
3079 #undef __FUNCT__
3080 #define __FUNCT__ "MatMPIBAIJSetPreallocation"
3081 /*@C
3082    MatMPIBAIJSetPreallocation - Allocates memory for a sparse parallel matrix in block AIJ format
3083    (block compressed row).  For good matrix assembly performance
3084    the user should preallocate the matrix storage by setting the parameters
3085    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
3086    performance can be increased by more than a factor of 50.
3087 
3088    Collective on Mat
3089 
3090    Input Parameters:
3091 +  A - the matrix
3092 .  bs   - size of block
3093 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
3094            submatrix  (same for all local rows)
3095 .  d_nnz - array containing the number of block nonzeros in the various block rows
3096            of the in diagonal portion of the local (possibly different for each block
3097            row) or NULL.  If you plan to factor the matrix you must leave room for the diagonal entry and
3098            set it even if it is zero.
3099 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
3100            submatrix (same for all local rows).
3101 -  o_nnz - array containing the number of nonzeros in the various block rows of the
3102            off-diagonal portion of the local submatrix (possibly different for
3103            each block row) or NULL.
3104 
3105    If the *_nnz parameter is given then the *_nz parameter is ignored
3106 
3107    Options Database Keys:
3108 +   -mat_block_size - size of the blocks to use
3109 -   -mat_use_hash_table <fact>
3110 
3111    Notes:
3112    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
3113    than it must be used on all processors that share the object for that argument.
3114 
3115    Storage Information:
3116    For a square global matrix we define each processor's diagonal portion
3117    to be its local rows and the corresponding columns (a square submatrix);
3118    each processor's off-diagonal portion encompasses the remainder of the
3119    local matrix (a rectangular submatrix).
3120 
3121    The user can specify preallocated storage for the diagonal part of
3122    the local submatrix with either d_nz or d_nnz (not both).  Set
3123    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
3124    memory allocation.  Likewise, specify preallocated storage for the
3125    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
3126 
3127    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
3128    the figure below we depict these three local rows and all columns (0-11).
3129 
3130 .vb
3131            0 1 2 3 4 5 6 7 8 9 10 11
3132           --------------------------
3133    row 3  |o o o d d d o o o o  o  o
3134    row 4  |o o o d d d o o o o  o  o
3135    row 5  |o o o d d d o o o o  o  o
3136           --------------------------
3137 .ve
3138 
3139    Thus, any entries in the d locations are stored in the d (diagonal)
3140    submatrix, and any entries in the o locations are stored in the
3141    o (off-diagonal) submatrix.  Note that the d and the o submatrices are
3142    stored simply in the MATSEQBAIJ format for compressed row storage.
3143 
3144    Now d_nz should indicate the number of block nonzeros per row in the d matrix,
3145    and o_nz should indicate the number of block nonzeros per row in the o matrix.
3146    In general, for PDE problems in which most nonzeros are near the diagonal,
3147    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
3148    or you will get TERRIBLE performance; see the users' manual chapter on
3149    matrices.
3150 
3151    You can call MatGetInfo() to get information on how effective the preallocation was;
3152    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3153    You can also run with the option -info and look for messages with the string
3154    malloc in them to see if additional memory allocation was needed.
3155 
3156    Level: intermediate
3157 
3158 .keywords: matrix, block, aij, compressed row, sparse, parallel
3159 
3160 .seealso: MatCreate(), MatCreateSeqBAIJ(), MatSetValues(), MatCreateBAIJ(), MatMPIBAIJSetPreallocationCSR(), PetscSplitOwnership()
3161 @*/
3162 PetscErrorCode  MatMPIBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
3163 {
3164   PetscErrorCode ierr;
3165 
3166   PetscFunctionBegin;
3167   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3168   PetscValidType(B,1);
3169   PetscValidLogicalCollectiveInt(B,bs,2);
3170   ierr = PetscTryMethod(B,"MatMPIBAIJSetPreallocation_C",(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]),(B,bs,d_nz,d_nnz,o_nz,o_nnz));CHKERRQ(ierr);
3171   PetscFunctionReturn(0);
3172 }
3173 
3174 #undef __FUNCT__
3175 #define __FUNCT__ "MatCreateBAIJ"
3176 /*@C
3177    MatCreateBAIJ - Creates a sparse parallel matrix in block AIJ format
3178    (block compressed row).  For good matrix assembly performance
3179    the user should preallocate the matrix storage by setting the parameters
3180    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
3181    performance can be increased by more than a factor of 50.
3182 
3183    Collective on MPI_Comm
3184 
3185    Input Parameters:
3186 +  comm - MPI communicator
3187 .  bs   - size of blockk
3188 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
3189            This value should be the same as the local size used in creating the
3190            y vector for the matrix-vector product y = Ax.
3191 .  n - number of local columns (or PETSC_DECIDE to have calculated if N is given)
3192            This value should be the same as the local size used in creating the
3193            x vector for the matrix-vector product y = Ax.
3194 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
3195 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
3196 .  d_nz  - number of nonzero blocks per block row in diagonal portion of local
3197            submatrix  (same for all local rows)
3198 .  d_nnz - array containing the number of nonzero blocks in the various block rows
3199            of the in diagonal portion of the local (possibly different for each block
3200            row) or NULL.  If you plan to factor the matrix you must leave room for the diagonal entry
3201            and set it even if it is zero.
3202 .  o_nz  - number of nonzero blocks per block row in the off-diagonal portion of local
3203            submatrix (same for all local rows).
3204 -  o_nnz - array containing the number of nonzero blocks in the various block rows of the
3205            off-diagonal portion of the local submatrix (possibly different for
3206            each block row) or NULL.
3207 
3208    Output Parameter:
3209 .  A - the matrix
3210 
3211    Options Database Keys:
3212 +   -mat_block_size - size of the blocks to use
3213 -   -mat_use_hash_table <fact>
3214 
3215    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3216    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3217    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3218 
3219    Notes:
3220    If the *_nnz parameter is given then the *_nz parameter is ignored
3221 
3222    A nonzero block is any block that as 1 or more nonzeros in it
3223 
3224    The user MUST specify either the local or global matrix dimensions
3225    (possibly both).
3226 
3227    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
3228    than it must be used on all processors that share the object for that argument.
3229 
3230    Storage Information:
3231    For a square global matrix we define each processor's diagonal portion
3232    to be its local rows and the corresponding columns (a square submatrix);
3233    each processor's off-diagonal portion encompasses the remainder of the
3234    local matrix (a rectangular submatrix).
3235 
3236    The user can specify preallocated storage for the diagonal part of
3237    the local submatrix with either d_nz or d_nnz (not both).  Set
3238    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
3239    memory allocation.  Likewise, specify preallocated storage for the
3240    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
3241 
3242    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
3243    the figure below we depict these three local rows and all columns (0-11).
3244 
3245 .vb
3246            0 1 2 3 4 5 6 7 8 9 10 11
3247           --------------------------
3248    row 3  |o o o d d d o o o o  o  o
3249    row 4  |o o o d d d o o o o  o  o
3250    row 5  |o o o d d d o o o o  o  o
3251           --------------------------
3252 .ve
3253 
3254    Thus, any entries in the d locations are stored in the d (diagonal)
3255    submatrix, and any entries in the o locations are stored in the
3256    o (off-diagonal) submatrix.  Note that the d and the o submatrices are
3257    stored simply in the MATSEQBAIJ format for compressed row storage.
3258 
3259    Now d_nz should indicate the number of block nonzeros per row in the d matrix,
3260    and o_nz should indicate the number of block nonzeros per row in the o matrix.
3261    In general, for PDE problems in which most nonzeros are near the diagonal,
3262    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
3263    or you will get TERRIBLE performance; see the users' manual chapter on
3264    matrices.
3265 
3266    Level: intermediate
3267 
3268 .keywords: matrix, block, aij, compressed row, sparse, parallel
3269 
3270 .seealso: MatCreate(), MatCreateSeqBAIJ(), MatSetValues(), MatCreateBAIJ(), MatMPIBAIJSetPreallocation(), MatMPIBAIJSetPreallocationCSR()
3271 @*/
3272 PetscErrorCode  MatCreateBAIJ(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)
3273 {
3274   PetscErrorCode ierr;
3275   PetscMPIInt    size;
3276 
3277   PetscFunctionBegin;
3278   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3279   ierr = MatSetSizes(*A,m,n,M,N);CHKERRQ(ierr);
3280   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3281   if (size > 1) {
3282     ierr = MatSetType(*A,MATMPIBAIJ);CHKERRQ(ierr);
3283     ierr = MatMPIBAIJSetPreallocation(*A,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
3284   } else {
3285     ierr = MatSetType(*A,MATSEQBAIJ);CHKERRQ(ierr);
3286     ierr = MatSeqBAIJSetPreallocation(*A,bs,d_nz,d_nnz);CHKERRQ(ierr);
3287   }
3288   PetscFunctionReturn(0);
3289 }
3290 
3291 #undef __FUNCT__
3292 #define __FUNCT__ "MatDuplicate_MPIBAIJ"
3293 static PetscErrorCode MatDuplicate_MPIBAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
3294 {
3295   Mat            mat;
3296   Mat_MPIBAIJ    *a,*oldmat = (Mat_MPIBAIJ*)matin->data;
3297   PetscErrorCode ierr;
3298   PetscInt       len=0;
3299 
3300   PetscFunctionBegin;
3301   *newmat = 0;
3302   ierr    = MatCreate(PetscObjectComm((PetscObject)matin),&mat);CHKERRQ(ierr);
3303   ierr    = MatSetSizes(mat,matin->rmap->n,matin->cmap->n,matin->rmap->N,matin->cmap->N);CHKERRQ(ierr);
3304   ierr    = MatSetType(mat,((PetscObject)matin)->type_name);CHKERRQ(ierr);
3305   ierr    = PetscMemcpy(mat->ops,matin->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
3306 
3307   mat->factortype   = matin->factortype;
3308   mat->preallocated = PETSC_TRUE;
3309   mat->assembled    = PETSC_TRUE;
3310   mat->insertmode   = NOT_SET_VALUES;
3311 
3312   a             = (Mat_MPIBAIJ*)mat->data;
3313   mat->rmap->bs = matin->rmap->bs;
3314   a->bs2        = oldmat->bs2;
3315   a->mbs        = oldmat->mbs;
3316   a->nbs        = oldmat->nbs;
3317   a->Mbs        = oldmat->Mbs;
3318   a->Nbs        = oldmat->Nbs;
3319 
3320   ierr = PetscLayoutReference(matin->rmap,&mat->rmap);CHKERRQ(ierr);
3321   ierr = PetscLayoutReference(matin->cmap,&mat->cmap);CHKERRQ(ierr);
3322 
3323   a->size         = oldmat->size;
3324   a->rank         = oldmat->rank;
3325   a->donotstash   = oldmat->donotstash;
3326   a->roworiented  = oldmat->roworiented;
3327   a->rowindices   = 0;
3328   a->rowvalues    = 0;
3329   a->getrowactive = PETSC_FALSE;
3330   a->barray       = 0;
3331   a->rstartbs     = oldmat->rstartbs;
3332   a->rendbs       = oldmat->rendbs;
3333   a->cstartbs     = oldmat->cstartbs;
3334   a->cendbs       = oldmat->cendbs;
3335 
3336   /* hash table stuff */
3337   a->ht           = 0;
3338   a->hd           = 0;
3339   a->ht_size      = 0;
3340   a->ht_flag      = oldmat->ht_flag;
3341   a->ht_fact      = oldmat->ht_fact;
3342   a->ht_total_ct  = 0;
3343   a->ht_insert_ct = 0;
3344 
3345   ierr = PetscMemcpy(a->rangebs,oldmat->rangebs,(a->size+1)*sizeof(PetscInt));CHKERRQ(ierr);
3346   if (oldmat->colmap) {
3347 #if defined(PETSC_USE_CTABLE)
3348     ierr = PetscTableCreateCopy(oldmat->colmap,&a->colmap);CHKERRQ(ierr);
3349 #else
3350     ierr = PetscMalloc1((a->Nbs),&a->colmap);CHKERRQ(ierr);
3351     ierr = PetscLogObjectMemory((PetscObject)mat,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
3352     ierr = PetscMemcpy(a->colmap,oldmat->colmap,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
3353 #endif
3354   } else a->colmap = 0;
3355 
3356   if (oldmat->garray && (len = ((Mat_SeqBAIJ*)(oldmat->B->data))->nbs)) {
3357     ierr = PetscMalloc1(len,&a->garray);CHKERRQ(ierr);
3358     ierr = PetscLogObjectMemory((PetscObject)mat,len*sizeof(PetscInt));CHKERRQ(ierr);
3359     ierr = PetscMemcpy(a->garray,oldmat->garray,len*sizeof(PetscInt));CHKERRQ(ierr);
3360   } else a->garray = 0;
3361 
3362   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)matin),matin->rmap->bs,&mat->bstash);CHKERRQ(ierr);
3363   ierr = VecDuplicate(oldmat->lvec,&a->lvec);CHKERRQ(ierr);
3364   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->lvec);CHKERRQ(ierr);
3365   ierr = VecScatterCopy(oldmat->Mvctx,&a->Mvctx);CHKERRQ(ierr);
3366   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->Mvctx);CHKERRQ(ierr);
3367 
3368   ierr    = MatDuplicate(oldmat->A,cpvalues,&a->A);CHKERRQ(ierr);
3369   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->A);CHKERRQ(ierr);
3370   ierr    = MatDuplicate(oldmat->B,cpvalues,&a->B);CHKERRQ(ierr);
3371   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->B);CHKERRQ(ierr);
3372   ierr    = PetscFunctionListDuplicate(((PetscObject)matin)->qlist,&((PetscObject)mat)->qlist);CHKERRQ(ierr);
3373   *newmat = mat;
3374   PetscFunctionReturn(0);
3375 }
3376 
3377 #undef __FUNCT__
3378 #define __FUNCT__ "MatLoad_MPIBAIJ"
3379 PetscErrorCode MatLoad_MPIBAIJ(Mat newmat,PetscViewer viewer)
3380 {
3381   PetscErrorCode ierr;
3382   int            fd;
3383   PetscInt       i,nz,j,rstart,rend;
3384   PetscScalar    *vals,*buf;
3385   MPI_Comm       comm;
3386   MPI_Status     status;
3387   PetscMPIInt    rank,size,maxnz;
3388   PetscInt       header[4],*rowlengths = 0,M,N,m,*rowners,*cols;
3389   PetscInt       *locrowlens = NULL,*procsnz = NULL,*browners = NULL;
3390   PetscInt       jj,*mycols,*ibuf,bs=1,Mbs,mbs,extra_rows,mmax;
3391   PetscMPIInt    tag    = ((PetscObject)viewer)->tag;
3392   PetscInt       *dlens = NULL,*odlens = NULL,*mask = NULL,*masked1 = NULL,*masked2 = NULL,rowcount,odcount;
3393   PetscInt       dcount,kmax,k,nzcount,tmp,mend,sizesset=1,grows,gcols;
3394 
3395   PetscFunctionBegin;
3396   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
3397   ierr = PetscOptionsBegin(comm,NULL,"Options for loading MPIBAIJ matrix 2","Mat");CHKERRQ(ierr);
3398   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
3399   ierr = PetscOptionsEnd();CHKERRQ(ierr);
3400 
3401   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3402   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
3403   if (!rank) {
3404     ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
3405     ierr = PetscBinaryRead(fd,(char*)header,4,PETSC_INT);CHKERRQ(ierr);
3406     if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
3407   }
3408 
3409   if (newmat->rmap->n < 0 && newmat->rmap->N < 0 && newmat->cmap->n < 0 && newmat->cmap->N < 0) sizesset = 0;
3410 
3411   ierr = MPI_Bcast(header+1,3,MPIU_INT,0,comm);CHKERRQ(ierr);
3412   M    = header[1]; N = header[2];
3413 
3414   /* If global rows/cols are set to PETSC_DECIDE, set it to the sizes given in the file */
3415   if (sizesset && newmat->rmap->N < 0) newmat->rmap->N = M;
3416   if (sizesset && newmat->cmap->N < 0) newmat->cmap->N = N;
3417 
3418   /* If global sizes are set, check if they are consistent with that given in the file */
3419   if (sizesset) {
3420     ierr = MatGetSize(newmat,&grows,&gcols);CHKERRQ(ierr);
3421   }
3422   if (sizesset && newmat->rmap->N != grows) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED, "Inconsistent # of rows:Matrix in file has (%d) and input matrix has (%d)",M,grows);
3423   if (sizesset && newmat->cmap->N != gcols) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED, "Inconsistent # of cols:Matrix in file has (%d) and input matrix has (%d)",N,gcols);
3424 
3425   if (M != N) SETERRQ(PetscObjectComm((PetscObject)viewer),PETSC_ERR_SUP,"Can only do square matrices");
3426 
3427   /*
3428      This code adds extra rows to make sure the number of rows is
3429      divisible by the blocksize
3430   */
3431   Mbs        = M/bs;
3432   extra_rows = bs - M + bs*Mbs;
3433   if (extra_rows == bs) extra_rows = 0;
3434   else                  Mbs++;
3435   if (extra_rows && !rank) {
3436     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
3437   }
3438 
3439   /* determine ownership of all rows */
3440   if (newmat->rmap->n < 0) { /* PETSC_DECIDE */
3441     mbs = Mbs/size + ((Mbs % size) > rank);
3442     m   = mbs*bs;
3443   } else { /* User set */
3444     m   = newmat->rmap->n;
3445     mbs = m/bs;
3446   }
3447   ierr = PetscMalloc2(size+1,&rowners,size+1,&browners);CHKERRQ(ierr);
3448   ierr = MPI_Allgather(&mbs,1,MPIU_INT,rowners+1,1,MPIU_INT,comm);CHKERRQ(ierr);
3449 
3450   /* process 0 needs enough room for process with most rows */
3451   if (!rank) {
3452     mmax = rowners[1];
3453     for (i=2; i<=size; i++) {
3454       mmax = PetscMax(mmax,rowners[i]);
3455     }
3456     mmax*=bs;
3457   } else mmax = -1;             /* unused, but compiler warns anyway */
3458 
3459   rowners[0] = 0;
3460   for (i=2; i<=size; i++) rowners[i] += rowners[i-1];
3461   for (i=0; i<=size; i++) browners[i] = rowners[i]*bs;
3462   rstart = rowners[rank];
3463   rend   = rowners[rank+1];
3464 
3465   /* distribute row lengths to all processors */
3466   ierr = PetscMalloc1(m,&locrowlens);CHKERRQ(ierr);
3467   if (!rank) {
3468     mend = m;
3469     if (size == 1) mend = mend - extra_rows;
3470     ierr = PetscBinaryRead(fd,locrowlens,mend,PETSC_INT);CHKERRQ(ierr);
3471     for (j=mend; j<m; j++) locrowlens[j] = 1;
3472     ierr = PetscMalloc1(mmax,&rowlengths);CHKERRQ(ierr);
3473     ierr = PetscCalloc1(size,&procsnz);CHKERRQ(ierr);
3474     for (j=0; j<m; j++) {
3475       procsnz[0] += locrowlens[j];
3476     }
3477     for (i=1; i<size; i++) {
3478       mend = browners[i+1] - browners[i];
3479       if (i == size-1) mend = mend - extra_rows;
3480       ierr = PetscBinaryRead(fd,rowlengths,mend,PETSC_INT);CHKERRQ(ierr);
3481       for (j=mend; j<browners[i+1] - browners[i]; j++) rowlengths[j] = 1;
3482       /* calculate the number of nonzeros on each processor */
3483       for (j=0; j<browners[i+1]-browners[i]; j++) {
3484         procsnz[i] += rowlengths[j];
3485       }
3486       ierr = MPI_Send(rowlengths,browners[i+1]-browners[i],MPIU_INT,i,tag,comm);CHKERRQ(ierr);
3487     }
3488     ierr = PetscFree(rowlengths);CHKERRQ(ierr);
3489   } else {
3490     ierr = MPI_Recv(locrowlens,m,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
3491   }
3492 
3493   if (!rank) {
3494     /* determine max buffer needed and allocate it */
3495     maxnz = procsnz[0];
3496     for (i=1; i<size; i++) {
3497       maxnz = PetscMax(maxnz,procsnz[i]);
3498     }
3499     ierr = PetscMalloc1(maxnz,&cols);CHKERRQ(ierr);
3500 
3501     /* read in my part of the matrix column indices  */
3502     nz     = procsnz[0];
3503     ierr   = PetscMalloc1((nz+1),&ibuf);CHKERRQ(ierr);
3504     mycols = ibuf;
3505     if (size == 1) nz -= extra_rows;
3506     ierr = PetscBinaryRead(fd,mycols,nz,PETSC_INT);CHKERRQ(ierr);
3507     if (size == 1) {
3508       for (i=0; i< extra_rows; i++) mycols[nz+i] = M+i;
3509     }
3510 
3511     /* read in every ones (except the last) and ship off */
3512     for (i=1; i<size-1; i++) {
3513       nz   = procsnz[i];
3514       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
3515       ierr = MPI_Send(cols,nz,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
3516     }
3517     /* read in the stuff for the last proc */
3518     if (size != 1) {
3519       nz   = procsnz[size-1] - extra_rows;  /* the extra rows are not on the disk */
3520       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
3521       for (i=0; i<extra_rows; i++) cols[nz+i] = M+i;
3522       ierr = MPI_Send(cols,nz+extra_rows,MPIU_INT,size-1,tag,comm);CHKERRQ(ierr);
3523     }
3524     ierr = PetscFree(cols);CHKERRQ(ierr);
3525   } else {
3526     /* determine buffer space needed for message */
3527     nz = 0;
3528     for (i=0; i<m; i++) {
3529       nz += locrowlens[i];
3530     }
3531     ierr   = PetscMalloc1((nz+1),&ibuf);CHKERRQ(ierr);
3532     mycols = ibuf;
3533     /* receive message of column indices*/
3534     ierr = MPI_Recv(mycols,nz,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
3535     ierr = MPI_Get_count(&status,MPIU_INT,&maxnz);CHKERRQ(ierr);
3536     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
3537   }
3538 
3539   /* loop over local rows, determining number of off diagonal entries */
3540   ierr     = PetscMalloc2(rend-rstart,&dlens,rend-rstart,&odlens);CHKERRQ(ierr);
3541   ierr     = PetscCalloc3(Mbs,&mask,Mbs,&masked1,Mbs,&masked2);CHKERRQ(ierr);
3542   rowcount = 0; nzcount = 0;
3543   for (i=0; i<mbs; i++) {
3544     dcount  = 0;
3545     odcount = 0;
3546     for (j=0; j<bs; j++) {
3547       kmax = locrowlens[rowcount];
3548       for (k=0; k<kmax; k++) {
3549         tmp = mycols[nzcount++]/bs;
3550         if (!mask[tmp]) {
3551           mask[tmp] = 1;
3552           if (tmp < rstart || tmp >= rend) masked2[odcount++] = tmp;
3553           else masked1[dcount++] = tmp;
3554         }
3555       }
3556       rowcount++;
3557     }
3558 
3559     dlens[i]  = dcount;
3560     odlens[i] = odcount;
3561 
3562     /* zero out the mask elements we set */
3563     for (j=0; j<dcount; j++) mask[masked1[j]] = 0;
3564     for (j=0; j<odcount; j++) mask[masked2[j]] = 0;
3565   }
3566 
3567 
3568   if (!sizesset) {
3569     ierr = MatSetSizes(newmat,m,m,M+extra_rows,N+extra_rows);CHKERRQ(ierr);
3570   }
3571   ierr = MatMPIBAIJSetPreallocation(newmat,bs,0,dlens,0,odlens);CHKERRQ(ierr);
3572 
3573   if (!rank) {
3574     ierr = PetscMalloc1((maxnz+1),&buf);CHKERRQ(ierr);
3575     /* read in my part of the matrix numerical values  */
3576     nz     = procsnz[0];
3577     vals   = buf;
3578     mycols = ibuf;
3579     if (size == 1) nz -= extra_rows;
3580     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3581     if (size == 1) {
3582       for (i=0; i< extra_rows; i++) vals[nz+i] = 1.0;
3583     }
3584 
3585     /* insert into matrix */
3586     jj = rstart*bs;
3587     for (i=0; i<m; i++) {
3588       ierr    = MatSetValues_MPIBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
3589       mycols += locrowlens[i];
3590       vals   += locrowlens[i];
3591       jj++;
3592     }
3593     /* read in other processors (except the last one) and ship out */
3594     for (i=1; i<size-1; i++) {
3595       nz   = procsnz[i];
3596       vals = buf;
3597       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3598       ierr = MPIULong_Send(vals,nz,MPIU_SCALAR,i,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
3599     }
3600     /* the last proc */
3601     if (size != 1) {
3602       nz   = procsnz[i] - extra_rows;
3603       vals = buf;
3604       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3605       for (i=0; i<extra_rows; i++) vals[nz+i] = 1.0;
3606       ierr = MPIULong_Send(vals,nz+extra_rows,MPIU_SCALAR,size-1,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
3607     }
3608     ierr = PetscFree(procsnz);CHKERRQ(ierr);
3609   } else {
3610     /* receive numeric values */
3611     ierr = PetscMalloc1((nz+1),&buf);CHKERRQ(ierr);
3612 
3613     /* receive message of values*/
3614     vals   = buf;
3615     mycols = ibuf;
3616     ierr   = MPIULong_Recv(vals,nz,MPIU_SCALAR,0,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
3617 
3618     /* insert into matrix */
3619     jj = rstart*bs;
3620     for (i=0; i<m; i++) {
3621       ierr    = MatSetValues_MPIBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
3622       mycols += locrowlens[i];
3623       vals   += locrowlens[i];
3624       jj++;
3625     }
3626   }
3627   ierr = PetscFree(locrowlens);CHKERRQ(ierr);
3628   ierr = PetscFree(buf);CHKERRQ(ierr);
3629   ierr = PetscFree(ibuf);CHKERRQ(ierr);
3630   ierr = PetscFree2(rowners,browners);CHKERRQ(ierr);
3631   ierr = PetscFree2(dlens,odlens);CHKERRQ(ierr);
3632   ierr = PetscFree3(mask,masked1,masked2);CHKERRQ(ierr);
3633   ierr = MatAssemblyBegin(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3634   ierr = MatAssemblyEnd(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3635   PetscFunctionReturn(0);
3636 }
3637 
3638 #undef __FUNCT__
3639 #define __FUNCT__ "MatMPIBAIJSetHashTableFactor"
3640 /*@
3641    MatMPIBAIJSetHashTableFactor - Sets the factor required to compute the size of the HashTable.
3642 
3643    Input Parameters:
3644 .  mat  - the matrix
3645 .  fact - factor
3646 
3647    Not Collective, each process can use a different factor
3648 
3649    Level: advanced
3650 
3651   Notes:
3652    This can also be set by the command line option: -mat_use_hash_table <fact>
3653 
3654 .keywords: matrix, hashtable, factor, HT
3655 
3656 .seealso: MatSetOption()
3657 @*/
3658 PetscErrorCode  MatMPIBAIJSetHashTableFactor(Mat mat,PetscReal fact)
3659 {
3660   PetscErrorCode ierr;
3661 
3662   PetscFunctionBegin;
3663   ierr = PetscTryMethod(mat,"MatSetHashTableFactor_C",(Mat,PetscReal),(mat,fact));CHKERRQ(ierr);
3664   PetscFunctionReturn(0);
3665 }
3666 
3667 #undef __FUNCT__
3668 #define __FUNCT__ "MatSetHashTableFactor_MPIBAIJ"
3669 PetscErrorCode  MatSetHashTableFactor_MPIBAIJ(Mat mat,PetscReal fact)
3670 {
3671   Mat_MPIBAIJ *baij;
3672 
3673   PetscFunctionBegin;
3674   baij          = (Mat_MPIBAIJ*)mat->data;
3675   baij->ht_fact = fact;
3676   PetscFunctionReturn(0);
3677 }
3678 
3679 #undef __FUNCT__
3680 #define __FUNCT__ "MatMPIBAIJGetSeqBAIJ"
3681 PetscErrorCode  MatMPIBAIJGetSeqBAIJ(Mat A,Mat *Ad,Mat *Ao,const PetscInt *colmap[])
3682 {
3683   Mat_MPIBAIJ *a = (Mat_MPIBAIJ*)A->data;
3684 
3685   PetscFunctionBegin;
3686   *Ad     = a->A;
3687   *Ao     = a->B;
3688   *colmap = a->garray;
3689   PetscFunctionReturn(0);
3690 }
3691 
3692 /*
3693     Special version for direct calls from Fortran (to eliminate two function call overheads
3694 */
3695 #if defined(PETSC_HAVE_FORTRAN_CAPS)
3696 #define matmpibaijsetvaluesblocked_ MATMPIBAIJSETVALUESBLOCKED
3697 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
3698 #define matmpibaijsetvaluesblocked_ matmpibaijsetvaluesblocked
3699 #endif
3700 
3701 #undef __FUNCT__
3702 #define __FUNCT__ "matmpibiajsetvaluesblocked"
3703 /*@C
3704   MatMPIBAIJSetValuesBlocked - Direct Fortran call to replace call to MatSetValuesBlocked()
3705 
3706   Collective on Mat
3707 
3708   Input Parameters:
3709 + mat - the matrix
3710 . min - number of input rows
3711 . im - input rows
3712 . nin - number of input columns
3713 . in - input columns
3714 . v - numerical values input
3715 - addvin - INSERT_VALUES or ADD_VALUES
3716 
3717   Notes: This has a complete copy of MatSetValuesBlocked_MPIBAIJ() which is terrible code un-reuse.
3718 
3719   Level: advanced
3720 
3721 .seealso:   MatSetValuesBlocked()
3722 @*/
3723 PetscErrorCode matmpibaijsetvaluesblocked_(Mat *matin,PetscInt *min,const PetscInt im[],PetscInt *nin,const PetscInt in[],const MatScalar v[],InsertMode *addvin)
3724 {
3725   /* convert input arguments to C version */
3726   Mat        mat  = *matin;
3727   PetscInt   m    = *min, n = *nin;
3728   InsertMode addv = *addvin;
3729 
3730   Mat_MPIBAIJ     *baij = (Mat_MPIBAIJ*)mat->data;
3731   const MatScalar *value;
3732   MatScalar       *barray     = baij->barray;
3733   PetscBool       roworiented = baij->roworiented;
3734   PetscErrorCode  ierr;
3735   PetscInt        i,j,ii,jj,row,col,rstart=baij->rstartbs;
3736   PetscInt        rend=baij->rendbs,cstart=baij->cstartbs,stepval;
3737   PetscInt        cend=baij->cendbs,bs=mat->rmap->bs,bs2=baij->bs2;
3738 
3739   PetscFunctionBegin;
3740   /* tasks normally handled by MatSetValuesBlocked() */
3741   if (mat->insertmode == NOT_SET_VALUES) mat->insertmode = addv;
3742 #if defined(PETSC_USE_DEBUG)
3743   else if (mat->insertmode != addv) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
3744   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3745 #endif
3746   if (mat->assembled) {
3747     mat->was_assembled = PETSC_TRUE;
3748     mat->assembled     = PETSC_FALSE;
3749   }
3750   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
3751 
3752 
3753   if (!barray) {
3754     ierr         = PetscMalloc1(bs2,&barray);CHKERRQ(ierr);
3755     baij->barray = barray;
3756   }
3757 
3758   if (roworiented) stepval = (n-1)*bs;
3759   else stepval = (m-1)*bs;
3760 
3761   for (i=0; i<m; i++) {
3762     if (im[i] < 0) continue;
3763 #if defined(PETSC_USE_DEBUG)
3764     if (im[i] >= baij->Mbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large, row %D max %D",im[i],baij->Mbs-1);
3765 #endif
3766     if (im[i] >= rstart && im[i] < rend) {
3767       row = im[i] - rstart;
3768       for (j=0; j<n; j++) {
3769         /* If NumCol = 1 then a copy is not required */
3770         if ((roworiented) && (n == 1)) {
3771           barray = (MatScalar*)v + i*bs2;
3772         } else if ((!roworiented) && (m == 1)) {
3773           barray = (MatScalar*)v + j*bs2;
3774         } else { /* Here a copy is required */
3775           if (roworiented) {
3776             value = v + i*(stepval+bs)*bs + j*bs;
3777           } else {
3778             value = v + j*(stepval+bs)*bs + i*bs;
3779           }
3780           for (ii=0; ii<bs; ii++,value+=stepval) {
3781             for (jj=0; jj<bs; jj++) {
3782               *barray++ = *value++;
3783             }
3784           }
3785           barray -=bs2;
3786         }
3787 
3788         if (in[j] >= cstart && in[j] < cend) {
3789           col  = in[j] - cstart;
3790           ierr = MatSetValuesBlocked_SeqBAIJ(baij->A,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
3791         } else if (in[j] < 0) continue;
3792 #if defined(PETSC_USE_DEBUG)
3793         else if (in[j] >= baij->Nbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large, col %D max %D",in[j],baij->Nbs-1);
3794 #endif
3795         else {
3796           if (mat->was_assembled) {
3797             if (!baij->colmap) {
3798               ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
3799             }
3800 
3801 #if defined(PETSC_USE_DEBUG)
3802 #if defined(PETSC_USE_CTABLE)
3803             { PetscInt data;
3804               ierr = PetscTableFind(baij->colmap,in[j]+1,&data);CHKERRQ(ierr);
3805               if ((data - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
3806             }
3807 #else
3808             if ((baij->colmap[in[j]] - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
3809 #endif
3810 #endif
3811 #if defined(PETSC_USE_CTABLE)
3812             ierr = PetscTableFind(baij->colmap,in[j]+1,&col);CHKERRQ(ierr);
3813             col  = (col - 1)/bs;
3814 #else
3815             col = (baij->colmap[in[j]] - 1)/bs;
3816 #endif
3817             if (col < 0 && !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
3818               ierr = MatDisAssemble_MPIBAIJ(mat);CHKERRQ(ierr);
3819               col  =  in[j];
3820             }
3821           } else col = in[j];
3822           ierr = MatSetValuesBlocked_SeqBAIJ(baij->B,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
3823         }
3824       }
3825     } else {
3826       if (!baij->donotstash) {
3827         if (roworiented) {
3828           ierr = MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
3829         } else {
3830           ierr = MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
3831         }
3832       }
3833     }
3834   }
3835 
3836   /* task normally handled by MatSetValuesBlocked() */
3837   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
3838   PetscFunctionReturn(0);
3839 }
3840 
3841 #undef __FUNCT__
3842 #define __FUNCT__ "MatCreateMPIBAIJWithArrays"
3843 /*@
3844      MatCreateMPIBAIJWithArrays - creates a MPI BAIJ matrix using arrays that contain in standard
3845          CSR format the local rows.
3846 
3847    Collective on MPI_Comm
3848 
3849    Input Parameters:
3850 +  comm - MPI communicator
3851 .  bs - the block size, only a block size of 1 is supported
3852 .  m - number of local rows (Cannot be PETSC_DECIDE)
3853 .  n - This value should be the same as the local size used in creating the
3854        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
3855        calculated if N is given) For square matrices n is almost always m.
3856 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
3857 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
3858 .   i - row indices
3859 .   j - column indices
3860 -   a - matrix values
3861 
3862    Output Parameter:
3863 .   mat - the matrix
3864 
3865    Level: intermediate
3866 
3867    Notes:
3868        The i, j, and a arrays ARE copied by this routine into the internal format used by PETSc;
3869      thus you CANNOT change the matrix entries by changing the values of a[] after you have
3870      called this routine. Use MatCreateMPIAIJWithSplitArrays() to avoid needing to copy the arrays.
3871 
3872      The order of the entries in values is the same as the block compressed sparse row storage format; that is, it is
3873      the same as a three dimensional array in Fortran values(bs,bs,nnz) that contains the first column of the first
3874      block, followed by the second column of the first block etc etc.  That is, the blocks are contiguous in memory
3875      with column-major ordering within blocks.
3876 
3877        The i and j indices are 0 based, and i indices are indices corresponding to the local j array.
3878 
3879 .keywords: matrix, aij, compressed row, sparse, parallel
3880 
3881 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
3882           MPIAIJ, MatCreateAIJ(), MatCreateMPIAIJWithSplitArrays()
3883 @*/
3884 PetscErrorCode  MatCreateMPIBAIJWithArrays(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt i[],const PetscInt j[],const PetscScalar a[],Mat *mat)
3885 {
3886   PetscErrorCode ierr;
3887 
3888   PetscFunctionBegin;
3889   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
3890   if (m < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"local number of rows (m) cannot be PETSC_DECIDE, or negative");
3891   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
3892   ierr = MatSetSizes(*mat,m,n,M,N);CHKERRQ(ierr);
3893   ierr = MatSetType(*mat,MATMPISBAIJ);CHKERRQ(ierr);
3894   ierr = MatSetOption(*mat,MAT_ROW_ORIENTED,PETSC_FALSE);CHKERRQ(ierr);
3895   ierr = MatMPIBAIJSetPreallocationCSR(*mat,bs,i,j,a);CHKERRQ(ierr);
3896   ierr = MatSetOption(*mat,MAT_ROW_ORIENTED,PETSC_TRUE);CHKERRQ(ierr);
3897   PetscFunctionReturn(0);
3898 }
3899