xref: /petsc/src/mat/impls/baij/mpi/mpibaij.c (revision 47f7623d0965e49d1eb1943580dc318f8af25757)
1 
2 #include <../src/mat/impls/baij/mpi/mpibaij.h>   /*I  "petscmat.h"  I*/
3 #include <petscblaslapack.h>
4 
5 extern PetscErrorCode MatSetUpMultiply_MPIBAIJ(Mat);
6 extern PetscErrorCode MatDisAssemble_MPIBAIJ(Mat);
7 extern PetscErrorCode MatGetValues_SeqBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt [],PetscScalar []);
8 extern PetscErrorCode MatSetValues_SeqBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt [],const PetscScalar [],InsertMode);
9 extern PetscErrorCode MatSetValuesBlocked_SeqBAIJ(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
10 extern PetscErrorCode MatGetRow_SeqBAIJ(Mat,PetscInt,PetscInt*,PetscInt*[],PetscScalar*[]);
11 extern PetscErrorCode MatRestoreRow_SeqBAIJ(Mat,PetscInt,PetscInt*,PetscInt*[],PetscScalar*[]);
12 extern PetscErrorCode MatZeroRows_SeqBAIJ(Mat,PetscInt,const PetscInt[],PetscScalar,Vec,Vec);
13 
14 #undef __FUNCT__
15 #define __FUNCT__ "MatGetRowMaxAbs_MPIBAIJ"
16 PetscErrorCode MatGetRowMaxAbs_MPIBAIJ(Mat A,Vec v,PetscInt idx[])
17 {
18   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
19   PetscErrorCode ierr;
20   PetscInt       i,*idxb = 0;
21   PetscScalar    *va,*vb;
22   Vec            vtmp;
23 
24   PetscFunctionBegin;
25   ierr = MatGetRowMaxAbs(a->A,v,idx);CHKERRQ(ierr);
26   ierr = VecGetArray(v,&va);CHKERRQ(ierr);
27   if (idx) {
28     for (i=0; i<A->rmap->n; i++) {
29       if (PetscAbsScalar(va[i])) idx[i] += A->cmap->rstart;
30     }
31   }
32 
33   ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->n,&vtmp);CHKERRQ(ierr);
34   if (idx) {ierr = PetscMalloc(A->rmap->n*sizeof(PetscInt),&idxb);CHKERRQ(ierr);}
35   ierr = MatGetRowMaxAbs(a->B,vtmp,idxb);CHKERRQ(ierr);
36   ierr = VecGetArray(vtmp,&vb);CHKERRQ(ierr);
37 
38   for (i=0; i<A->rmap->n; i++) {
39     if (PetscAbsScalar(va[i]) < PetscAbsScalar(vb[i])) {
40       va[i] = vb[i];
41       if (idx) idx[i] = A->cmap->bs*a->garray[idxb[i]/A->cmap->bs] + (idxb[i] % A->cmap->bs);
42     }
43   }
44 
45   ierr = VecRestoreArray(v,&va);CHKERRQ(ierr);
46   ierr = VecRestoreArray(vtmp,&vb);CHKERRQ(ierr);
47   ierr = PetscFree(idxb);CHKERRQ(ierr);
48   ierr = VecDestroy(&vtmp);CHKERRQ(ierr);
49   PetscFunctionReturn(0);
50 }
51 
52 #undef __FUNCT__
53 #define __FUNCT__ "MatStoreValues_MPIBAIJ"
54 PetscErrorCode  MatStoreValues_MPIBAIJ(Mat mat)
55 {
56   Mat_MPIBAIJ    *aij = (Mat_MPIBAIJ*)mat->data;
57   PetscErrorCode ierr;
58 
59   PetscFunctionBegin;
60   ierr = MatStoreValues(aij->A);CHKERRQ(ierr);
61   ierr = MatStoreValues(aij->B);CHKERRQ(ierr);
62   PetscFunctionReturn(0);
63 }
64 
65 #undef __FUNCT__
66 #define __FUNCT__ "MatRetrieveValues_MPIBAIJ"
67 PetscErrorCode  MatRetrieveValues_MPIBAIJ(Mat mat)
68 {
69   Mat_MPIBAIJ    *aij = (Mat_MPIBAIJ*)mat->data;
70   PetscErrorCode ierr;
71 
72   PetscFunctionBegin;
73   ierr = MatRetrieveValues(aij->A);CHKERRQ(ierr);
74   ierr = MatRetrieveValues(aij->B);CHKERRQ(ierr);
75   PetscFunctionReturn(0);
76 }
77 
78 /*
79      Local utility routine that creates a mapping from the global column
80    number to the local number in the off-diagonal part of the local
81    storage of the matrix.  This is done in a non scalable way since the
82    length of colmap equals the global matrix length.
83 */
84 #undef __FUNCT__
85 #define __FUNCT__ "MatCreateColmap_MPIBAIJ_Private"
86 PetscErrorCode MatCreateColmap_MPIBAIJ_Private(Mat mat)
87 {
88   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
89   Mat_SeqBAIJ    *B    = (Mat_SeqBAIJ*)baij->B->data;
90   PetscErrorCode ierr;
91   PetscInt       nbs = B->nbs,i,bs=mat->rmap->bs;
92 
93   PetscFunctionBegin;
94 #if defined(PETSC_USE_CTABLE)
95   ierr = PetscTableCreate(baij->nbs,baij->Nbs+1,&baij->colmap);CHKERRQ(ierr);
96   for (i=0; i<nbs; i++) {
97     ierr = PetscTableAdd(baij->colmap,baij->garray[i]+1,i*bs+1,INSERT_VALUES);CHKERRQ(ierr);
98   }
99 #else
100   ierr = PetscMalloc((baij->Nbs+1)*sizeof(PetscInt),&baij->colmap);CHKERRQ(ierr);
101   ierr = PetscLogObjectMemory((PetscObject)mat,baij->Nbs*sizeof(PetscInt));CHKERRQ(ierr);
102   ierr = PetscMemzero(baij->colmap,baij->Nbs*sizeof(PetscInt));CHKERRQ(ierr);
103   for (i=0; i<nbs; i++) baij->colmap[baij->garray[i]] = i*bs+1;
104 #endif
105   PetscFunctionReturn(0);
106 }
107 
108 #define  MatSetValues_SeqBAIJ_A_Private(row,col,value,addv) \
109   { \
110  \
111     brow = row/bs;  \
112     rp   = aj + ai[brow]; ap = aa + bs2*ai[brow]; \
113     rmax = aimax[brow]; nrow = ailen[brow]; \
114     bcol = col/bs; \
115     ridx = row % bs; cidx = col % bs; \
116     low  = 0; high = nrow; \
117     while (high-low > 3) { \
118       t = (low+high)/2; \
119       if (rp[t] > bcol) high = t; \
120       else              low  = t; \
121     } \
122     for (_i=low; _i<high; _i++) { \
123       if (rp[_i] > bcol) break; \
124       if (rp[_i] == bcol) { \
125         bap = ap +  bs2*_i + bs*cidx + ridx; \
126         if (addv == ADD_VALUES) *bap += value;  \
127         else                    *bap  = value;  \
128         goto a_noinsert; \
129       } \
130     } \
131     if (a->nonew == 1) goto a_noinsert; \
132     if (a->nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", row, col); \
133     MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,aimax,a->nonew,MatScalar); \
134     N = nrow++ - 1;  \
135     /* shift up all the later entries in this row */ \
136     for (ii=N; ii>=_i; ii--) { \
137       rp[ii+1] = rp[ii]; \
138       ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
139     } \
140     if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr); }  \
141     rp[_i]                      = bcol;  \
142     ap[bs2*_i + bs*cidx + ridx] = value;  \
143 a_noinsert:; \
144     ailen[brow] = nrow; \
145   }
146 
147 #define  MatSetValues_SeqBAIJ_B_Private(row,col,value,addv) \
148   { \
149     brow = row/bs;  \
150     rp   = bj + bi[brow]; ap = ba + bs2*bi[brow]; \
151     rmax = bimax[brow]; nrow = bilen[brow]; \
152     bcol = col/bs; \
153     ridx = row % bs; cidx = col % bs; \
154     low  = 0; high = nrow; \
155     while (high-low > 3) { \
156       t = (low+high)/2; \
157       if (rp[t] > bcol) high = t; \
158       else              low  = t; \
159     } \
160     for (_i=low; _i<high; _i++) { \
161       if (rp[_i] > bcol) break; \
162       if (rp[_i] == bcol) { \
163         bap = ap +  bs2*_i + bs*cidx + ridx; \
164         if (addv == ADD_VALUES) *bap += value;  \
165         else                    *bap  = value;  \
166         goto b_noinsert; \
167       } \
168     } \
169     if (b->nonew == 1) goto b_noinsert; \
170     if (b->nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", row, col); \
171     MatSeqXAIJReallocateAIJ(B,b->mbs,bs2,nrow,brow,bcol,rmax,ba,bi,bj,rp,ap,bimax,b->nonew,MatScalar); \
172     N = nrow++ - 1;  \
173     /* shift up all the later entries in this row */ \
174     for (ii=N; ii>=_i; ii--) { \
175       rp[ii+1] = rp[ii]; \
176       ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr); \
177     } \
178     if (N>=_i) { ierr = PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));CHKERRQ(ierr);}  \
179     rp[_i]                      = bcol;  \
180     ap[bs2*_i + bs*cidx + ridx] = value;  \
181 b_noinsert:; \
182     bilen[brow] = nrow; \
183   }
184 
185 #undef __FUNCT__
186 #define __FUNCT__ "MatSetValues_MPIBAIJ"
187 PetscErrorCode MatSetValues_MPIBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
188 {
189   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
190   MatScalar      value;
191   PetscBool      roworiented = baij->roworiented;
192   PetscErrorCode ierr;
193   PetscInt       i,j,row,col;
194   PetscInt       rstart_orig=mat->rmap->rstart;
195   PetscInt       rend_orig  =mat->rmap->rend,cstart_orig=mat->cmap->rstart;
196   PetscInt       cend_orig  =mat->cmap->rend,bs=mat->rmap->bs;
197 
198   /* Some Variables required in the macro */
199   Mat         A     = baij->A;
200   Mat_SeqBAIJ *a    = (Mat_SeqBAIJ*)(A)->data;
201   PetscInt    *aimax=a->imax,*ai=a->i,*ailen=a->ilen,*aj=a->j;
202   MatScalar   *aa   =a->a;
203 
204   Mat         B     = baij->B;
205   Mat_SeqBAIJ *b    = (Mat_SeqBAIJ*)(B)->data;
206   PetscInt    *bimax=b->imax,*bi=b->i,*bilen=b->ilen,*bj=b->j;
207   MatScalar   *ba   =b->a;
208 
209   PetscInt  *rp,ii,nrow,_i,rmax,N,brow,bcol;
210   PetscInt  low,high,t,ridx,cidx,bs2=a->bs2;
211   MatScalar *ap,*bap;
212 
213   PetscFunctionBegin;
214   if (v) PetscValidScalarPointer(v,6);
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         = PetscMalloc(bs2*sizeof(MatScalar),&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   if (v) PetscValidScalarPointer(v,6);
398   for (i=0; i<m; i++) {
399 #if defined(PETSC_USE_DEBUG)
400     if (im[i] < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row");
401     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);
402 #endif
403     row = im[i];
404     if (row >= rstart_orig && row < rend_orig) {
405       for (j=0; j<n; j++) {
406         col = in[j];
407         if (roworiented) value = v[i*n+j];
408         else             value = v[i+j*m];
409         /* Look up PetscInto the Hash Table */
410         key = (row/bs)*Nbs+(col/bs)+1;
411         h1  = HASH(size,key,tmp);
412 
413 
414         idx = h1;
415 #if defined(PETSC_USE_DEBUG)
416         insert_ct++;
417         total_ct++;
418         if (HT[idx] != key) {
419           for (idx=h1; (idx<size) && (HT[idx]!=key); idx++,total_ct++) ;
420           if (idx == size) {
421             for (idx=0; (idx<h1) && (HT[idx]!=key); idx++,total_ct++) ;
422             if (idx == h1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"(%D,%D) has no entry in the hash table", row, col);
423           }
424         }
425 #else
426         if (HT[idx] != key) {
427           for (idx=h1; (idx<size) && (HT[idx]!=key); idx++) ;
428           if (idx == size) {
429             for (idx=0; (idx<h1) && (HT[idx]!=key); idx++) ;
430             if (idx == h1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"(%D,%D) has no entry in the hash table", row, col);
431           }
432         }
433 #endif
434         /* A HASH table entry is found, so insert the values at the correct address */
435         if (addv == ADD_VALUES) *(HD[idx]+ (col % bs)*bs + (row % bs)) += value;
436         else                    *(HD[idx]+ (col % bs)*bs + (row % bs))  = value;
437       }
438     } else if (!baij->donotstash) {
439       if (roworiented) {
440         ierr = MatStashValuesRow_Private(&mat->stash,im[i],n,in,v+i*n,PETSC_FALSE);CHKERRQ(ierr);
441       } else {
442         ierr = MatStashValuesCol_Private(&mat->stash,im[i],n,in,v+i,m,PETSC_FALSE);CHKERRQ(ierr);
443       }
444     }
445   }
446 #if defined(PETSC_USE_DEBUG)
447   baij->ht_total_ct  = total_ct;
448   baij->ht_insert_ct = insert_ct;
449 #endif
450   PetscFunctionReturn(0);
451 }
452 
453 #undef __FUNCT__
454 #define __FUNCT__ "MatSetValuesBlocked_MPIBAIJ_HT"
455 PetscErrorCode MatSetValuesBlocked_MPIBAIJ_HT(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
456 {
457   Mat_MPIBAIJ       *baij       = (Mat_MPIBAIJ*)mat->data;
458   PetscBool         roworiented = baij->roworiented;
459   PetscErrorCode    ierr;
460   PetscInt          i,j,ii,jj,row,col;
461   PetscInt          rstart=baij->rstartbs;
462   PetscInt          rend  =mat->rmap->rend,stepval,bs=mat->rmap->bs,bs2=baij->bs2,nbs2=n*bs2;
463   PetscInt          h1,key,size=baij->ht_size,idx,*HT=baij->ht,Nbs=baij->Nbs;
464   PetscReal         tmp;
465   MatScalar         **HD = baij->hd,*baij_a;
466   const PetscScalar *v_t,*value;
467 #if defined(PETSC_USE_DEBUG)
468   PetscInt total_ct=baij->ht_total_ct,insert_ct=baij->ht_insert_ct;
469 #endif
470 
471   PetscFunctionBegin;
472   if (roworiented) stepval = (n-1)*bs;
473   else stepval = (m-1)*bs;
474 
475   for (i=0; i<m; i++) {
476 #if defined(PETSC_USE_DEBUG)
477     if (im[i] < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",im[i]);
478     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);
479 #endif
480     row = im[i];
481     v_t = v + i*nbs2;
482     if (row >= rstart && row < rend) {
483       for (j=0; j<n; j++) {
484         col = in[j];
485 
486         /* Look up into the Hash Table */
487         key = row*Nbs+col+1;
488         h1  = HASH(size,key,tmp);
489 
490         idx = h1;
491 #if defined(PETSC_USE_DEBUG)
492         total_ct++;
493         insert_ct++;
494         if (HT[idx] != key) {
495           for (idx=h1; (idx<size) && (HT[idx]!=key); idx++,total_ct++) ;
496           if (idx == size) {
497             for (idx=0; (idx<h1) && (HT[idx]!=key); idx++,total_ct++) ;
498             if (idx == h1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"(%D,%D) has no entry in the hash table", row, col);
499           }
500         }
501 #else
502         if (HT[idx] != key) {
503           for (idx=h1; (idx<size) && (HT[idx]!=key); idx++) ;
504           if (idx == size) {
505             for (idx=0; (idx<h1) && (HT[idx]!=key); idx++) ;
506             if (idx == h1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"(%D,%D) has no entry in the hash table", row, col);
507           }
508         }
509 #endif
510         baij_a = HD[idx];
511         if (roworiented) {
512           /*value = v + i*(stepval+bs)*bs + j*bs;*/
513           /* value = v + (i*(stepval+bs)+j)*bs; */
514           value = v_t;
515           v_t  += bs;
516           if (addv == ADD_VALUES) {
517             for (ii=0; ii<bs; ii++,value+=stepval) {
518               for (jj=ii; jj<bs2; jj+=bs) {
519                 baij_a[jj] += *value++;
520               }
521             }
522           } else {
523             for (ii=0; ii<bs; ii++,value+=stepval) {
524               for (jj=ii; jj<bs2; jj+=bs) {
525                 baij_a[jj] = *value++;
526               }
527             }
528           }
529         } else {
530           value = v + j*(stepval+bs)*bs + i*bs;
531           if (addv == ADD_VALUES) {
532             for (ii=0; ii<bs; ii++,value+=stepval,baij_a+=bs) {
533               for (jj=0; jj<bs; jj++) {
534                 baij_a[jj] += *value++;
535               }
536             }
537           } else {
538             for (ii=0; ii<bs; ii++,value+=stepval,baij_a+=bs) {
539               for (jj=0; jj<bs; jj++) {
540                 baij_a[jj] = *value++;
541               }
542             }
543           }
544         }
545       }
546     } else {
547       if (!baij->donotstash) {
548         if (roworiented) {
549           ierr = MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
550         } else {
551           ierr = MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
552         }
553       }
554     }
555   }
556 #if defined(PETSC_USE_DEBUG)
557   baij->ht_total_ct  = total_ct;
558   baij->ht_insert_ct = insert_ct;
559 #endif
560   PetscFunctionReturn(0);
561 }
562 
563 #undef __FUNCT__
564 #define __FUNCT__ "MatGetValues_MPIBAIJ"
565 PetscErrorCode MatGetValues_MPIBAIJ(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],PetscScalar v[])
566 {
567   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
568   PetscErrorCode ierr;
569   PetscInt       bs       = mat->rmap->bs,i,j,bsrstart = mat->rmap->rstart,bsrend = mat->rmap->rend;
570   PetscInt       bscstart = mat->cmap->rstart,bscend = mat->cmap->rend,row,col,data;
571 
572   PetscFunctionBegin;
573   for (i=0; i<m; i++) {
574     if (idxm[i] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",idxm[i]);*/
575     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);
576     if (idxm[i] >= bsrstart && idxm[i] < bsrend) {
577       row = idxm[i] - bsrstart;
578       for (j=0; j<n; j++) {
579         if (idxn[j] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column: %D",idxn[j]); */
580         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);
581         if (idxn[j] >= bscstart && idxn[j] < bscend) {
582           col  = idxn[j] - bscstart;
583           ierr = MatGetValues_SeqBAIJ(baij->A,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
584         } else {
585           if (!baij->colmap) {
586             ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
587           }
588 #if defined(PETSC_USE_CTABLE)
589           ierr = PetscTableFind(baij->colmap,idxn[j]/bs+1,&data);CHKERRQ(ierr);
590           data--;
591 #else
592           data = baij->colmap[idxn[j]/bs]-1;
593 #endif
594           if ((data < 0) || (baij->garray[data/bs] != idxn[j]/bs)) *(v+i*n+j) = 0.0;
595           else {
596             col  = data + idxn[j]%bs;
597             ierr = MatGetValues_SeqBAIJ(baij->B,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
598           }
599         }
600       }
601     } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local values currently supported");
602   }
603   PetscFunctionReturn(0);
604 }
605 
606 #undef __FUNCT__
607 #define __FUNCT__ "MatNorm_MPIBAIJ"
608 PetscErrorCode MatNorm_MPIBAIJ(Mat mat,NormType type,PetscReal *nrm)
609 {
610   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
611   Mat_SeqBAIJ    *amat = (Mat_SeqBAIJ*)baij->A->data,*bmat = (Mat_SeqBAIJ*)baij->B->data;
612   PetscErrorCode ierr;
613   PetscInt       i,j,bs2=baij->bs2,bs=baij->A->rmap->bs,nz,row,col;
614   PetscReal      sum = 0.0;
615   MatScalar      *v;
616 
617   PetscFunctionBegin;
618   if (baij->size == 1) {
619     ierr =  MatNorm(baij->A,type,nrm);CHKERRQ(ierr);
620   } else {
621     if (type == NORM_FROBENIUS) {
622       v  = amat->a;
623       nz = amat->nz*bs2;
624       for (i=0; i<nz; i++) {
625         sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
626       }
627       v  = bmat->a;
628       nz = bmat->nz*bs2;
629       for (i=0; i<nz; i++) {
630         sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
631       }
632       ierr = MPI_Allreduce(&sum,nrm,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
633       *nrm = PetscSqrtReal(*nrm);
634     } else if (type == NORM_1) { /* max column sum */
635       PetscReal *tmp,*tmp2;
636       PetscInt  *jj,*garray=baij->garray,cstart=baij->rstartbs;
637       ierr = PetscMalloc2(mat->cmap->N,PetscReal,&tmp,mat->cmap->N,PetscReal,&tmp2);CHKERRQ(ierr);
638       ierr = PetscMemzero(tmp,mat->cmap->N*sizeof(PetscReal));CHKERRQ(ierr);
639       v    = amat->a; jj = amat->j;
640       for (i=0; i<amat->nz; i++) {
641         for (j=0; j<bs; j++) {
642           col = bs*(cstart + *jj) + j; /* column index */
643           for (row=0; row<bs; row++) {
644             tmp[col] += PetscAbsScalar(*v);  v++;
645           }
646         }
647         jj++;
648       }
649       v = bmat->a; jj = bmat->j;
650       for (i=0; i<bmat->nz; i++) {
651         for (j=0; j<bs; j++) {
652           col = bs*garray[*jj] + j;
653           for (row=0; row<bs; row++) {
654             tmp[col] += PetscAbsScalar(*v); v++;
655           }
656         }
657         jj++;
658       }
659       ierr = MPI_Allreduce(tmp,tmp2,mat->cmap->N,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
660       *nrm = 0.0;
661       for (j=0; j<mat->cmap->N; j++) {
662         if (tmp2[j] > *nrm) *nrm = tmp2[j];
663       }
664       ierr = PetscFree2(tmp,tmp2);CHKERRQ(ierr);
665     } else if (type == NORM_INFINITY) { /* max row sum */
666       PetscReal *sums;
667       ierr = PetscMalloc(bs*sizeof(PetscReal),&sums);CHKERRQ(ierr);
668       sum  = 0.0;
669       for (j=0; j<amat->mbs; j++) {
670         for (row=0; row<bs; row++) sums[row] = 0.0;
671         v  = amat->a + bs2*amat->i[j];
672         nz = amat->i[j+1]-amat->i[j];
673         for (i=0; i<nz; i++) {
674           for (col=0; col<bs; col++) {
675             for (row=0; row<bs; row++) {
676               sums[row] += PetscAbsScalar(*v); v++;
677             }
678           }
679         }
680         v  = bmat->a + bs2*bmat->i[j];
681         nz = bmat->i[j+1]-bmat->i[j];
682         for (i=0; i<nz; i++) {
683           for (col=0; col<bs; col++) {
684             for (row=0; row<bs; row++) {
685               sums[row] += PetscAbsScalar(*v); v++;
686             }
687           }
688         }
689         for (row=0; row<bs; row++) {
690           if (sums[row] > sum) sum = sums[row];
691         }
692       }
693       ierr = MPI_Allreduce(&sum,nrm,1,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
694       ierr = PetscFree(sums);CHKERRQ(ierr);
695     } else SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"No support for this norm yet");
696   }
697   PetscFunctionReturn(0);
698 }
699 
700 /*
701   Creates the hash table, and sets the table
702   This table is created only once.
703   If new entried need to be added to the matrix
704   then the hash table has to be destroyed and
705   recreated.
706 */
707 #undef __FUNCT__
708 #define __FUNCT__ "MatCreateHashTable_MPIBAIJ_Private"
709 PetscErrorCode MatCreateHashTable_MPIBAIJ_Private(Mat mat,PetscReal factor)
710 {
711   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
712   Mat            A     = baij->A,B=baij->B;
713   Mat_SeqBAIJ    *a    = (Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ*)B->data;
714   PetscInt       i,j,k,nz=a->nz+b->nz,h1,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j;
715   PetscErrorCode ierr;
716   PetscInt       ht_size,bs2=baij->bs2,rstart=baij->rstartbs;
717   PetscInt       cstart=baij->cstartbs,*garray=baij->garray,row,col,Nbs=baij->Nbs;
718   PetscInt       *HT,key;
719   MatScalar      **HD;
720   PetscReal      tmp;
721 #if defined(PETSC_USE_INFO)
722   PetscInt ct=0,max=0;
723 #endif
724 
725   PetscFunctionBegin;
726   if (baij->ht) PetscFunctionReturn(0);
727 
728   baij->ht_size = (PetscInt)(factor*nz);
729   ht_size       = baij->ht_size;
730 
731   /* Allocate Memory for Hash Table */
732   ierr = PetscMalloc2(ht_size,MatScalar*,&baij->hd,ht_size,PetscInt,&baij->ht);CHKERRQ(ierr);
733   ierr = PetscMemzero(baij->hd,ht_size*sizeof(MatScalar*));CHKERRQ(ierr);
734   ierr = PetscMemzero(baij->ht,ht_size*sizeof(PetscInt));CHKERRQ(ierr);
735   HD   = baij->hd;
736   HT   = baij->ht;
737 
738   /* Loop Over A */
739   for (i=0; i<a->mbs; i++) {
740     for (j=ai[i]; j<ai[i+1]; j++) {
741       row = i+rstart;
742       col = aj[j]+cstart;
743 
744       key = row*Nbs + col + 1;
745       h1  = HASH(ht_size,key,tmp);
746       for (k=0; k<ht_size; k++) {
747         if (!HT[(h1+k)%ht_size]) {
748           HT[(h1+k)%ht_size] = key;
749           HD[(h1+k)%ht_size] = a->a + j*bs2;
750           break;
751 #if defined(PETSC_USE_INFO)
752         } else {
753           ct++;
754 #endif
755         }
756       }
757 #if defined(PETSC_USE_INFO)
758       if (k> max) max = k;
759 #endif
760     }
761   }
762   /* Loop Over B */
763   for (i=0; i<b->mbs; i++) {
764     for (j=bi[i]; j<bi[i+1]; j++) {
765       row = i+rstart;
766       col = garray[bj[j]];
767       key = row*Nbs + col + 1;
768       h1  = HASH(ht_size,key,tmp);
769       for (k=0; k<ht_size; k++) {
770         if (!HT[(h1+k)%ht_size]) {
771           HT[(h1+k)%ht_size] = key;
772           HD[(h1+k)%ht_size] = b->a + j*bs2;
773           break;
774 #if defined(PETSC_USE_INFO)
775         } else {
776           ct++;
777 #endif
778         }
779       }
780 #if defined(PETSC_USE_INFO)
781       if (k> max) max = k;
782 #endif
783     }
784   }
785 
786   /* Print Summary */
787 #if defined(PETSC_USE_INFO)
788   for (i=0,j=0; i<ht_size; i++) {
789     if (HT[i]) j++;
790   }
791   ierr = PetscInfo2(mat,"Average Search = %5.2f,max search = %D\n",(!j)? 0.0:((PetscReal)(ct+j))/j,max);CHKERRQ(ierr);
792 #endif
793   PetscFunctionReturn(0);
794 }
795 
796 #undef __FUNCT__
797 #define __FUNCT__ "MatAssemblyBegin_MPIBAIJ"
798 PetscErrorCode MatAssemblyBegin_MPIBAIJ(Mat mat,MatAssemblyType mode)
799 {
800   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
801   PetscErrorCode ierr;
802   PetscInt       nstash,reallocs;
803   InsertMode     addv;
804 
805   PetscFunctionBegin;
806   if (baij->donotstash || mat->nooffprocentries) PetscFunctionReturn(0);
807 
808   /* make sure all processors are either in INSERTMODE or ADDMODE */
809   ierr = MPI_Allreduce((PetscEnum*)&mat->insertmode,(PetscEnum*)&addv,1,MPIU_ENUM,MPI_BOR,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
810   if (addv == (ADD_VALUES|INSERT_VALUES)) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Some processors inserted others added");
811   mat->insertmode = addv; /* in case this processor had no cache */
812 
813   ierr = MatStashScatterBegin_Private(mat,&mat->stash,mat->rmap->range);CHKERRQ(ierr);
814   ierr = MatStashScatterBegin_Private(mat,&mat->bstash,baij->rangebs);CHKERRQ(ierr);
815   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
816   ierr = PetscInfo2(mat,"Stash has %D entries,uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
817   ierr = MatStashGetInfo_Private(&mat->bstash,&nstash,&reallocs);CHKERRQ(ierr);
818   ierr = PetscInfo2(mat,"Block-Stash has %D entries, uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
819   PetscFunctionReturn(0);
820 }
821 
822 #undef __FUNCT__
823 #define __FUNCT__ "MatAssemblyEnd_MPIBAIJ"
824 PetscErrorCode MatAssemblyEnd_MPIBAIJ(Mat mat,MatAssemblyType mode)
825 {
826   Mat_MPIBAIJ    *baij=(Mat_MPIBAIJ*)mat->data;
827   Mat_SeqBAIJ    *a   =(Mat_SeqBAIJ*)baij->A->data;
828   PetscErrorCode ierr;
829   PetscInt       i,j,rstart,ncols,flg,bs2=baij->bs2;
830   PetscInt       *row,*col;
831   PetscBool      r1,r2,r3,other_disassembled;
832   MatScalar      *val;
833   InsertMode     addv = mat->insertmode;
834   PetscMPIInt    n;
835 
836   PetscFunctionBegin;
837   /* do not use 'b=(Mat_SeqBAIJ*)baij->B->data' as B can be reset in disassembly */
838   if (!baij->donotstash && !mat->nooffprocentries) {
839     while (1) {
840       ierr = MatStashScatterGetMesg_Private(&mat->stash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
841       if (!flg) break;
842 
843       for (i=0; i<n;) {
844         /* Now identify the consecutive vals belonging to the same row */
845         for (j=i,rstart=row[j]; j<n; j++) {
846           if (row[j] != rstart) break;
847         }
848         if (j < n) ncols = j-i;
849         else       ncols = n-i;
850         /* Now assemble all these values with a single function call */
851         ierr = MatSetValues_MPIBAIJ(mat,1,row+i,ncols,col+i,val+i,addv);CHKERRQ(ierr);
852         i    = j;
853       }
854     }
855     ierr = MatStashScatterEnd_Private(&mat->stash);CHKERRQ(ierr);
856     /* Now process the block-stash. Since the values are stashed column-oriented,
857        set the roworiented flag to column oriented, and after MatSetValues()
858        restore the original flags */
859     r1 = baij->roworiented;
860     r2 = a->roworiented;
861     r3 = ((Mat_SeqBAIJ*)baij->B->data)->roworiented;
862 
863     baij->roworiented = PETSC_FALSE;
864     a->roworiented    = PETSC_FALSE;
865 
866     (((Mat_SeqBAIJ*)baij->B->data))->roworiented = PETSC_FALSE; /* b->roworiented */
867     while (1) {
868       ierr = MatStashScatterGetMesg_Private(&mat->bstash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
869       if (!flg) break;
870 
871       for (i=0; i<n;) {
872         /* Now identify the consecutive vals belonging to the same row */
873         for (j=i,rstart=row[j]; j<n; j++) {
874           if (row[j] != rstart) break;
875         }
876         if (j < n) ncols = j-i;
877         else       ncols = n-i;
878         ierr = MatSetValuesBlocked_MPIBAIJ(mat,1,row+i,ncols,col+i,val+i*bs2,addv);CHKERRQ(ierr);
879         i    = j;
880       }
881     }
882     ierr = MatStashScatterEnd_Private(&mat->bstash);CHKERRQ(ierr);
883 
884     baij->roworiented = r1;
885     a->roworiented    = r2;
886 
887     ((Mat_SeqBAIJ*)baij->B->data)->roworiented = r3; /* b->roworiented */
888   }
889 
890   ierr = MatAssemblyBegin(baij->A,mode);CHKERRQ(ierr);
891   ierr = MatAssemblyEnd(baij->A,mode);CHKERRQ(ierr);
892 
893   /* determine if any processor has disassembled, if so we must
894      also disassemble ourselfs, in order that we may reassemble. */
895   /*
896      if nonzero structure of submatrix B cannot change then we know that
897      no processor disassembled thus we can skip this stuff
898   */
899   if (!((Mat_SeqBAIJ*)baij->B->data)->nonew) {
900     ierr = MPI_Allreduce(&mat->was_assembled,&other_disassembled,1,MPIU_BOOL,MPI_PROD,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
901     if (mat->was_assembled && !other_disassembled) {
902       ierr = MatDisAssemble_MPIBAIJ(mat);CHKERRQ(ierr);
903     }
904   }
905 
906   if (!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) {
907     ierr = MatSetUpMultiply_MPIBAIJ(mat);CHKERRQ(ierr);
908   }
909   ierr = MatSetOption(baij->B,MAT_CHECK_COMPRESSED_ROW,PETSC_FALSE);CHKERRQ(ierr);
910   ierr = MatAssemblyBegin(baij->B,mode);CHKERRQ(ierr);
911   ierr = MatAssemblyEnd(baij->B,mode);CHKERRQ(ierr);
912 
913 #if defined(PETSC_USE_INFO)
914   if (baij->ht && mode== MAT_FINAL_ASSEMBLY) {
915     ierr = PetscInfo1(mat,"Average Hash Table Search in MatSetValues = %5.2f\n",((PetscReal)baij->ht_total_ct)/baij->ht_insert_ct);CHKERRQ(ierr);
916 
917     baij->ht_total_ct  = 0;
918     baij->ht_insert_ct = 0;
919   }
920 #endif
921   if (baij->ht_flag && !baij->ht && mode == MAT_FINAL_ASSEMBLY) {
922     ierr = MatCreateHashTable_MPIBAIJ_Private(mat,baij->ht_fact);CHKERRQ(ierr);
923 
924     mat->ops->setvalues        = MatSetValues_MPIBAIJ_HT;
925     mat->ops->setvaluesblocked = MatSetValuesBlocked_MPIBAIJ_HT;
926   }
927 
928   ierr = PetscFree2(baij->rowvalues,baij->rowindices);CHKERRQ(ierr);
929 
930   baij->rowvalues = 0;
931   PetscFunctionReturn(0);
932 }
933 
934 #include <petscdraw.h>
935 #undef __FUNCT__
936 #define __FUNCT__ "MatView_MPIBAIJ_ASCIIorDraworSocket"
937 static PetscErrorCode MatView_MPIBAIJ_ASCIIorDraworSocket(Mat mat,PetscViewer viewer)
938 {
939   Mat_MPIBAIJ       *baij = (Mat_MPIBAIJ*)mat->data;
940   PetscErrorCode    ierr;
941   PetscMPIInt       size = baij->size,rank = baij->rank;
942   PetscInt          bs   = mat->rmap->bs;
943   PetscBool         iascii,isdraw;
944   PetscViewer       sviewer;
945   PetscViewerFormat format;
946 
947   PetscFunctionBegin;
948   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
949   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
950   if (iascii) {
951     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
952     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
953       MatInfo info;
954       ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)mat),&rank);CHKERRQ(ierr);
955       ierr = MatGetInfo(mat,MAT_LOCAL,&info);CHKERRQ(ierr);
956       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_TRUE);CHKERRQ(ierr);
957       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] Local rows %D nz %D nz alloced %D bs %D mem %D\n",
958                                                 rank,mat->rmap->n,(PetscInt)info.nz_used,(PetscInt)info.nz_allocated,mat->rmap->bs,(PetscInt)info.memory);CHKERRQ(ierr);
959       ierr = MatGetInfo(baij->A,MAT_LOCAL,&info);CHKERRQ(ierr);
960       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] on-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
961       ierr = MatGetInfo(baij->B,MAT_LOCAL,&info);CHKERRQ(ierr);
962       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] off-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
963       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
964       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_FALSE);CHKERRQ(ierr);
965       ierr = PetscViewerASCIIPrintf(viewer,"Information on VecScatter used in matrix-vector product: \n");CHKERRQ(ierr);
966       ierr = VecScatterView(baij->Mvctx,viewer);CHKERRQ(ierr);
967       PetscFunctionReturn(0);
968     } else if (format == PETSC_VIEWER_ASCII_INFO) {
969       ierr = PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);CHKERRQ(ierr);
970       PetscFunctionReturn(0);
971     } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
972       PetscFunctionReturn(0);
973     }
974   }
975 
976   if (isdraw) {
977     PetscDraw draw;
978     PetscBool isnull;
979     ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
980     ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
981   }
982 
983   if (size == 1) {
984     ierr = PetscObjectSetName((PetscObject)baij->A,((PetscObject)mat)->name);CHKERRQ(ierr);
985     ierr = MatView(baij->A,viewer);CHKERRQ(ierr);
986   } else {
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 = PetscMalloc(bs*sizeof(PetscInt),&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 = PetscObjectSetName((PetscObject)((Mat_MPIBAIJ*)(A->data))->A,((PetscObject)mat)->name);CHKERRQ(ierr);
1046       /* Set the type name to MATMPIBAIJ so that the correct type can be printed out by PetscObjectPrintClassNamePrefixType() in MatView_SeqBAIJ_ASCII()*/
1047       PetscStrcpy(((PetscObject)((Mat_MPIBAIJ*)(A->data))->A)->type_name,MATMPIBAIJ);
1048       ierr = MatView(((Mat_MPIBAIJ*)(A->data))->A,sviewer);CHKERRQ(ierr);
1049     }
1050     ierr = PetscViewerRestoreSingleton(viewer,&sviewer);CHKERRQ(ierr);
1051     ierr = MatDestroy(&A);CHKERRQ(ierr);
1052   }
1053   PetscFunctionReturn(0);
1054 }
1055 
1056 #undef __FUNCT__
1057 #define __FUNCT__ "MatView_MPIBAIJ_Binary"
1058 static PetscErrorCode MatView_MPIBAIJ_Binary(Mat mat,PetscViewer viewer)
1059 {
1060   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)mat->data;
1061   Mat_SeqBAIJ    *A = (Mat_SeqBAIJ*)a->A->data;
1062   Mat_SeqBAIJ    *B = (Mat_SeqBAIJ*)a->B->data;
1063   PetscErrorCode ierr;
1064   PetscInt       i,*row_lens,*crow_lens,bs = mat->rmap->bs,j,k,bs2=a->bs2,header[4],nz,rlen;
1065   PetscInt       *range=0,nzmax,*column_indices,cnt,col,*garray = a->garray,cstart = mat->cmap->rstart/bs,len,pcnt,l,ll;
1066   int            fd;
1067   PetscScalar    *column_values;
1068   FILE           *file;
1069   PetscMPIInt    rank,size,tag = ((PetscObject)viewer)->tag;
1070   PetscInt       message_count,flowcontrolcount;
1071 
1072   PetscFunctionBegin;
1073   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)mat),&rank);CHKERRQ(ierr);
1074   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)mat),&size);CHKERRQ(ierr);
1075   nz   = bs2*(A->nz + B->nz);
1076   rlen = mat->rmap->n;
1077   if (!rank) {
1078     header[0] = MAT_FILE_CLASSID;
1079     header[1] = mat->rmap->N;
1080     header[2] = mat->cmap->N;
1081 
1082     ierr = MPI_Reduce(&nz,&header[3],1,MPIU_INT,MPI_SUM,0,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1083     ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
1084     ierr = PetscBinaryWrite(fd,header,4,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1085     /* get largest number of rows any processor has */
1086     range = mat->rmap->range;
1087     for (i=1; i<size; i++) {
1088       rlen = PetscMax(rlen,range[i+1] - range[i]);
1089     }
1090   } else {
1091     ierr = MPI_Reduce(&nz,0,1,MPIU_INT,MPI_SUM,0,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1092   }
1093 
1094   ierr = PetscMalloc((rlen/bs)*sizeof(PetscInt),&crow_lens);CHKERRQ(ierr);
1095   /* compute lengths of each row  */
1096   for (i=0; i<a->mbs; i++) {
1097     crow_lens[i] = A->i[i+1] - A->i[i] + B->i[i+1] - B->i[i];
1098   }
1099   /* store the row lengths to the file */
1100   ierr = PetscViewerFlowControlStart(viewer,&message_count,&flowcontrolcount);CHKERRQ(ierr);
1101   if (!rank) {
1102     MPI_Status status;
1103     ierr = PetscMalloc(rlen*sizeof(PetscInt),&row_lens);CHKERRQ(ierr);
1104     rlen = (range[1] - range[0])/bs;
1105     for (i=0; i<rlen; i++) {
1106       for (j=0; j<bs; j++) {
1107         row_lens[i*bs+j] = bs*crow_lens[i];
1108       }
1109     }
1110     ierr = PetscBinaryWrite(fd,row_lens,bs*rlen,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1111     for (i=1; i<size; i++) {
1112       rlen = (range[i+1] - range[i])/bs;
1113       ierr = PetscViewerFlowControlStepMaster(viewer,i,&message_count,flowcontrolcount);CHKERRQ(ierr);
1114       ierr = MPI_Recv(crow_lens,rlen,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1115       for (k=0; k<rlen; k++) {
1116         for (j=0; j<bs; j++) {
1117           row_lens[k*bs+j] = bs*crow_lens[k];
1118         }
1119       }
1120       ierr = PetscBinaryWrite(fd,row_lens,bs*rlen,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1121     }
1122     ierr = PetscViewerFlowControlEndMaster(viewer,&message_count);CHKERRQ(ierr);
1123     ierr = PetscFree(row_lens);CHKERRQ(ierr);
1124   } else {
1125     ierr = PetscViewerFlowControlStepWorker(viewer,rank,&message_count);CHKERRQ(ierr);
1126     ierr = MPI_Send(crow_lens,mat->rmap->n/bs,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1127     ierr = PetscViewerFlowControlEndWorker(viewer,&message_count);CHKERRQ(ierr);
1128   }
1129   ierr = PetscFree(crow_lens);CHKERRQ(ierr);
1130 
1131   /* load up the local column indices. Include for all rows not just one for each block row since process 0 does not have the
1132      information needed to make it for each row from a block row. This does require more communication but still not more than
1133      the communication needed for the nonzero values  */
1134   nzmax = nz; /*  space a largest processor needs */
1135   ierr  = MPI_Reduce(&nz,&nzmax,1,MPIU_INT,MPI_MAX,0,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1136   ierr  = PetscMalloc(nzmax*sizeof(PetscInt),&column_indices);CHKERRQ(ierr);
1137   cnt   = 0;
1138   for (i=0; i<a->mbs; i++) {
1139     pcnt = cnt;
1140     for (j=B->i[i]; j<B->i[i+1]; j++) {
1141       if ((col = garray[B->j[j]]) > cstart) break;
1142       for (l=0; l<bs; l++) {
1143         column_indices[cnt++] = bs*col+l;
1144       }
1145     }
1146     for (k=A->i[i]; k<A->i[i+1]; k++) {
1147       for (l=0; l<bs; l++) {
1148         column_indices[cnt++] = bs*(A->j[k] + cstart)+l;
1149       }
1150     }
1151     for (; j<B->i[i+1]; j++) {
1152       for (l=0; l<bs; l++) {
1153         column_indices[cnt++] = bs*garray[B->j[j]]+l;
1154       }
1155     }
1156     len = cnt - pcnt;
1157     for (k=1; k<bs; k++) {
1158       ierr = PetscMemcpy(&column_indices[cnt],&column_indices[pcnt],len*sizeof(PetscInt));CHKERRQ(ierr);
1159       cnt += len;
1160     }
1161   }
1162   if (cnt != nz) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Internal PETSc error: cnt = %D nz = %D",cnt,nz);
1163 
1164   /* store the columns to the file */
1165   ierr = PetscViewerFlowControlStart(viewer,&message_count,&flowcontrolcount);CHKERRQ(ierr);
1166   if (!rank) {
1167     MPI_Status status;
1168     ierr = PetscBinaryWrite(fd,column_indices,nz,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1169     for (i=1; i<size; i++) {
1170       ierr = PetscViewerFlowControlStepMaster(viewer,i,&message_count,flowcontrolcount);CHKERRQ(ierr);
1171       ierr = MPI_Recv(&cnt,1,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1172       ierr = MPI_Recv(column_indices,cnt,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1173       ierr = PetscBinaryWrite(fd,column_indices,cnt,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1174     }
1175     ierr = PetscViewerFlowControlEndMaster(viewer,&message_count);CHKERRQ(ierr);
1176   } else {
1177     ierr = PetscViewerFlowControlStepWorker(viewer,rank,&message_count);CHKERRQ(ierr);
1178     ierr = MPI_Send(&cnt,1,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1179     ierr = MPI_Send(column_indices,cnt,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1180     ierr = PetscViewerFlowControlEndWorker(viewer,&message_count);CHKERRQ(ierr);
1181   }
1182   ierr = PetscFree(column_indices);CHKERRQ(ierr);
1183 
1184   /* load up the numerical values */
1185   ierr = PetscMalloc(nzmax*sizeof(PetscScalar),&column_values);CHKERRQ(ierr);
1186   cnt  = 0;
1187   for (i=0; i<a->mbs; i++) {
1188     rlen = bs*(B->i[i+1] - B->i[i] + A->i[i+1] - A->i[i]);
1189     for (j=B->i[i]; j<B->i[i+1]; j++) {
1190       if (garray[B->j[j]] > cstart) break;
1191       for (l=0; l<bs; l++) {
1192         for (ll=0; ll<bs; ll++) {
1193           column_values[cnt + l*rlen + ll] = B->a[bs2*j+l+bs*ll];
1194         }
1195       }
1196       cnt += bs;
1197     }
1198     for (k=A->i[i]; k<A->i[i+1]; k++) {
1199       for (l=0; l<bs; l++) {
1200         for (ll=0; ll<bs; ll++) {
1201           column_values[cnt + l*rlen + ll] = A->a[bs2*k+l+bs*ll];
1202         }
1203       }
1204       cnt += bs;
1205     }
1206     for (; j<B->i[i+1]; j++) {
1207       for (l=0; l<bs; l++) {
1208         for (ll=0; ll<bs; ll++) {
1209           column_values[cnt + l*rlen + ll] = B->a[bs2*j+l+bs*ll];
1210         }
1211       }
1212       cnt += bs;
1213     }
1214     cnt += (bs-1)*rlen;
1215   }
1216   if (cnt != nz) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Internal PETSc error: cnt = %D nz = %D",cnt,nz);
1217 
1218   /* store the column values to the file */
1219   ierr = PetscViewerFlowControlStart(viewer,&message_count,&flowcontrolcount);CHKERRQ(ierr);
1220   if (!rank) {
1221     MPI_Status status;
1222     ierr = PetscBinaryWrite(fd,column_values,nz,PETSC_SCALAR,PETSC_TRUE);CHKERRQ(ierr);
1223     for (i=1; i<size; i++) {
1224       ierr = PetscViewerFlowControlStepMaster(viewer,i,&message_count,flowcontrolcount);CHKERRQ(ierr);
1225       ierr = MPI_Recv(&cnt,1,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1226       ierr = MPI_Recv(column_values,cnt,MPIU_SCALAR,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1227       ierr = PetscBinaryWrite(fd,column_values,cnt,PETSC_SCALAR,PETSC_TRUE);CHKERRQ(ierr);
1228     }
1229     ierr = PetscViewerFlowControlEndMaster(viewer,&message_count);CHKERRQ(ierr);
1230   } else {
1231     ierr = PetscViewerFlowControlStepWorker(viewer,rank,&message_count);CHKERRQ(ierr);
1232     ierr = MPI_Send(&nz,1,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1233     ierr = MPI_Send(column_values,nz,MPIU_SCALAR,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1234     ierr = PetscViewerFlowControlEndWorker(viewer,&message_count);CHKERRQ(ierr);
1235   }
1236   ierr = PetscFree(column_values);CHKERRQ(ierr);
1237 
1238   ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
1239   if (file) {
1240     fprintf(file,"-matload_block_size %d\n",(int)mat->rmap->bs);
1241   }
1242   PetscFunctionReturn(0);
1243 }
1244 
1245 #undef __FUNCT__
1246 #define __FUNCT__ "MatView_MPIBAIJ"
1247 PetscErrorCode MatView_MPIBAIJ(Mat mat,PetscViewer viewer)
1248 {
1249   PetscErrorCode ierr;
1250   PetscBool      iascii,isdraw,issocket,isbinary;
1251 
1252   PetscFunctionBegin;
1253   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1254   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1255   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSOCKET,&issocket);CHKERRQ(ierr);
1256   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1257   if (iascii || isdraw || issocket) {
1258     ierr = MatView_MPIBAIJ_ASCIIorDraworSocket(mat,viewer);CHKERRQ(ierr);
1259   } else if (isbinary) {
1260     ierr = MatView_MPIBAIJ_Binary(mat,viewer);CHKERRQ(ierr);
1261   }
1262   PetscFunctionReturn(0);
1263 }
1264 
1265 #undef __FUNCT__
1266 #define __FUNCT__ "MatDestroy_MPIBAIJ"
1267 PetscErrorCode MatDestroy_MPIBAIJ(Mat mat)
1268 {
1269   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
1270   PetscErrorCode ierr;
1271 
1272   PetscFunctionBegin;
1273 #if defined(PETSC_USE_LOG)
1274   PetscLogObjectState((PetscObject)mat,"Rows=%D,Cols=%D",mat->rmap->N,mat->cmap->N);
1275 #endif
1276   ierr = MatStashDestroy_Private(&mat->stash);CHKERRQ(ierr);
1277   ierr = MatStashDestroy_Private(&mat->bstash);CHKERRQ(ierr);
1278   ierr = MatDestroy(&baij->A);CHKERRQ(ierr);
1279   ierr = MatDestroy(&baij->B);CHKERRQ(ierr);
1280 #if defined(PETSC_USE_CTABLE)
1281   ierr = PetscTableDestroy(&baij->colmap);CHKERRQ(ierr);
1282 #else
1283   ierr = PetscFree(baij->colmap);CHKERRQ(ierr);
1284 #endif
1285   ierr = PetscFree(baij->garray);CHKERRQ(ierr);
1286   ierr = VecDestroy(&baij->lvec);CHKERRQ(ierr);
1287   ierr = VecScatterDestroy(&baij->Mvctx);CHKERRQ(ierr);
1288   ierr = PetscFree2(baij->rowvalues,baij->rowindices);CHKERRQ(ierr);
1289   ierr = PetscFree(baij->barray);CHKERRQ(ierr);
1290   ierr = PetscFree2(baij->hd,baij->ht);CHKERRQ(ierr);
1291   ierr = PetscFree(baij->rangebs);CHKERRQ(ierr);
1292   ierr = PetscFree(mat->data);CHKERRQ(ierr);
1293 
1294   ierr = PetscObjectChangeTypeName((PetscObject)mat,0);CHKERRQ(ierr);
1295   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatStoreValues_C",NULL);CHKERRQ(ierr);
1296   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatRetrieveValues_C",NULL);CHKERRQ(ierr);
1297   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatGetDiagonalBlock_C",NULL);CHKERRQ(ierr);
1298   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatMPIBAIJSetPreallocation_C",NULL);CHKERRQ(ierr);
1299   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatMPIBAIJSetPreallocationCSR_C",NULL);CHKERRQ(ierr);
1300   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatDiagonalScaleLocal_C",NULL);CHKERRQ(ierr);
1301   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatSetHashTableFactor_C",NULL);CHKERRQ(ierr);
1302   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpibaij_mpisbaij_C",NULL);CHKERRQ(ierr);
1303   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpibaij_mpibstrm_C",NULL);CHKERRQ(ierr);
1304   PetscFunctionReturn(0);
1305 }
1306 
1307 #undef __FUNCT__
1308 #define __FUNCT__ "MatMult_MPIBAIJ"
1309 PetscErrorCode MatMult_MPIBAIJ(Mat A,Vec xx,Vec yy)
1310 {
1311   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1312   PetscErrorCode ierr;
1313   PetscInt       nt;
1314 
1315   PetscFunctionBegin;
1316   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
1317   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
1318   ierr = VecGetLocalSize(yy,&nt);CHKERRQ(ierr);
1319   if (nt != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible parition of A and yy");
1320   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1321   ierr = (*a->A->ops->mult)(a->A,xx,yy);CHKERRQ(ierr);
1322   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1323   ierr = (*a->B->ops->multadd)(a->B,a->lvec,yy,yy);CHKERRQ(ierr);
1324   PetscFunctionReturn(0);
1325 }
1326 
1327 #undef __FUNCT__
1328 #define __FUNCT__ "MatMultAdd_MPIBAIJ"
1329 PetscErrorCode MatMultAdd_MPIBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1330 {
1331   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1332   PetscErrorCode ierr;
1333 
1334   PetscFunctionBegin;
1335   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1336   ierr = (*a->A->ops->multadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
1337   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1338   ierr = (*a->B->ops->multadd)(a->B,a->lvec,zz,zz);CHKERRQ(ierr);
1339   PetscFunctionReturn(0);
1340 }
1341 
1342 #undef __FUNCT__
1343 #define __FUNCT__ "MatMultTranspose_MPIBAIJ"
1344 PetscErrorCode MatMultTranspose_MPIBAIJ(Mat A,Vec xx,Vec yy)
1345 {
1346   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1347   PetscErrorCode ierr;
1348   PetscBool      merged;
1349 
1350   PetscFunctionBegin;
1351   ierr = VecScatterGetMerged(a->Mvctx,&merged);CHKERRQ(ierr);
1352   /* do nondiagonal part */
1353   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1354   if (!merged) {
1355     /* send it on its way */
1356     ierr = VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1357     /* do local part */
1358     ierr = (*a->A->ops->multtranspose)(a->A,xx,yy);CHKERRQ(ierr);
1359     /* receive remote parts: note this assumes the values are not actually */
1360     /* inserted in yy until the next line */
1361     ierr = VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1362   } else {
1363     /* do local part */
1364     ierr = (*a->A->ops->multtranspose)(a->A,xx,yy);CHKERRQ(ierr);
1365     /* send it on its way */
1366     ierr = VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1367     /* values actually were received in the Begin() but we need to call this nop */
1368     ierr = VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1369   }
1370   PetscFunctionReturn(0);
1371 }
1372 
1373 #undef __FUNCT__
1374 #define __FUNCT__ "MatMultTransposeAdd_MPIBAIJ"
1375 PetscErrorCode MatMultTransposeAdd_MPIBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1376 {
1377   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1378   PetscErrorCode ierr;
1379 
1380   PetscFunctionBegin;
1381   /* do nondiagonal part */
1382   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1383   /* send it on its way */
1384   ierr = VecScatterBegin(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1385   /* do local part */
1386   ierr = (*a->A->ops->multtransposeadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
1387   /* receive remote parts: note this assumes the values are not actually */
1388   /* inserted in yy until the next line, which is true for my implementation*/
1389   /* but is not perhaps always true. */
1390   ierr = VecScatterEnd(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1391   PetscFunctionReturn(0);
1392 }
1393 
1394 /*
1395   This only works correctly for square matrices where the subblock A->A is the
1396    diagonal block
1397 */
1398 #undef __FUNCT__
1399 #define __FUNCT__ "MatGetDiagonal_MPIBAIJ"
1400 PetscErrorCode MatGetDiagonal_MPIBAIJ(Mat A,Vec v)
1401 {
1402   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1403   PetscErrorCode ierr;
1404 
1405   PetscFunctionBegin;
1406   if (A->rmap->N != A->cmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Supports only square matrix where A->A is diag block");
1407   ierr = MatGetDiagonal(a->A,v);CHKERRQ(ierr);
1408   PetscFunctionReturn(0);
1409 }
1410 
1411 #undef __FUNCT__
1412 #define __FUNCT__ "MatScale_MPIBAIJ"
1413 PetscErrorCode MatScale_MPIBAIJ(Mat A,PetscScalar aa)
1414 {
1415   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1416   PetscErrorCode ierr;
1417 
1418   PetscFunctionBegin;
1419   ierr = MatScale(a->A,aa);CHKERRQ(ierr);
1420   ierr = MatScale(a->B,aa);CHKERRQ(ierr);
1421   PetscFunctionReturn(0);
1422 }
1423 
1424 #undef __FUNCT__
1425 #define __FUNCT__ "MatGetRow_MPIBAIJ"
1426 PetscErrorCode MatGetRow_MPIBAIJ(Mat matin,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1427 {
1428   Mat_MPIBAIJ    *mat = (Mat_MPIBAIJ*)matin->data;
1429   PetscScalar    *vworkA,*vworkB,**pvA,**pvB,*v_p;
1430   PetscErrorCode ierr;
1431   PetscInt       bs = matin->rmap->bs,bs2 = mat->bs2,i,*cworkA,*cworkB,**pcA,**pcB;
1432   PetscInt       nztot,nzA,nzB,lrow,brstart = matin->rmap->rstart,brend = matin->rmap->rend;
1433   PetscInt       *cmap,*idx_p,cstart = mat->cstartbs;
1434 
1435   PetscFunctionBegin;
1436   if (row < brstart || row >= brend) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local rows");
1437   if (mat->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Already active");
1438   mat->getrowactive = PETSC_TRUE;
1439 
1440   if (!mat->rowvalues && (idx || v)) {
1441     /*
1442         allocate enough space to hold information from the longest row.
1443     */
1444     Mat_SeqBAIJ *Aa = (Mat_SeqBAIJ*)mat->A->data,*Ba = (Mat_SeqBAIJ*)mat->B->data;
1445     PetscInt    max = 1,mbs = mat->mbs,tmp;
1446     for (i=0; i<mbs; i++) {
1447       tmp = Aa->i[i+1] - Aa->i[i] + Ba->i[i+1] - Ba->i[i];
1448       if (max < tmp) max = tmp;
1449     }
1450     ierr = PetscMalloc2(max*bs2,PetscScalar,&mat->rowvalues,max*bs2,PetscInt,&mat->rowindices);CHKERRQ(ierr);
1451   }
1452   lrow = row - brstart;
1453 
1454   pvA = &vworkA; pcA = &cworkA; pvB = &vworkB; pcB = &cworkB;
1455   if (!v)   {pvA = 0; pvB = 0;}
1456   if (!idx) {pcA = 0; if (!v) pcB = 0;}
1457   ierr  = (*mat->A->ops->getrow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1458   ierr  = (*mat->B->ops->getrow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1459   nztot = nzA + nzB;
1460 
1461   cmap = mat->garray;
1462   if (v  || idx) {
1463     if (nztot) {
1464       /* Sort by increasing column numbers, assuming A and B already sorted */
1465       PetscInt imark = -1;
1466       if (v) {
1467         *v = v_p = mat->rowvalues;
1468         for (i=0; i<nzB; i++) {
1469           if (cmap[cworkB[i]/bs] < cstart) v_p[i] = vworkB[i];
1470           else break;
1471         }
1472         imark = i;
1473         for (i=0; i<nzA; i++)     v_p[imark+i] = vworkA[i];
1474         for (i=imark; i<nzB; i++) v_p[nzA+i]   = vworkB[i];
1475       }
1476       if (idx) {
1477         *idx = idx_p = mat->rowindices;
1478         if (imark > -1) {
1479           for (i=0; i<imark; i++) {
1480             idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1481           }
1482         } else {
1483           for (i=0; i<nzB; i++) {
1484             if (cmap[cworkB[i]/bs] < cstart) idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1485             else break;
1486           }
1487           imark = i;
1488         }
1489         for (i=0; i<nzA; i++)     idx_p[imark+i] = cstart*bs + cworkA[i];
1490         for (i=imark; i<nzB; i++) idx_p[nzA+i]   = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1491       }
1492     } else {
1493       if (idx) *idx = 0;
1494       if (v)   *v   = 0;
1495     }
1496   }
1497   *nz  = nztot;
1498   ierr = (*mat->A->ops->restorerow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1499   ierr = (*mat->B->ops->restorerow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1500   PetscFunctionReturn(0);
1501 }
1502 
1503 #undef __FUNCT__
1504 #define __FUNCT__ "MatRestoreRow_MPIBAIJ"
1505 PetscErrorCode MatRestoreRow_MPIBAIJ(Mat mat,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1506 {
1507   Mat_MPIBAIJ *baij = (Mat_MPIBAIJ*)mat->data;
1508 
1509   PetscFunctionBegin;
1510   if (!baij->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"MatGetRow not called");
1511   baij->getrowactive = PETSC_FALSE;
1512   PetscFunctionReturn(0);
1513 }
1514 
1515 #undef __FUNCT__
1516 #define __FUNCT__ "MatZeroEntries_MPIBAIJ"
1517 PetscErrorCode MatZeroEntries_MPIBAIJ(Mat A)
1518 {
1519   Mat_MPIBAIJ    *l = (Mat_MPIBAIJ*)A->data;
1520   PetscErrorCode ierr;
1521 
1522   PetscFunctionBegin;
1523   ierr = MatZeroEntries(l->A);CHKERRQ(ierr);
1524   ierr = MatZeroEntries(l->B);CHKERRQ(ierr);
1525   PetscFunctionReturn(0);
1526 }
1527 
1528 #undef __FUNCT__
1529 #define __FUNCT__ "MatGetInfo_MPIBAIJ"
1530 PetscErrorCode MatGetInfo_MPIBAIJ(Mat matin,MatInfoType flag,MatInfo *info)
1531 {
1532   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)matin->data;
1533   Mat            A  = a->A,B = a->B;
1534   PetscErrorCode ierr;
1535   PetscReal      isend[5],irecv[5];
1536 
1537   PetscFunctionBegin;
1538   info->block_size = (PetscReal)matin->rmap->bs;
1539 
1540   ierr = MatGetInfo(A,MAT_LOCAL,info);CHKERRQ(ierr);
1541 
1542   isend[0] = info->nz_used; isend[1] = info->nz_allocated; isend[2] = info->nz_unneeded;
1543   isend[3] = info->memory;  isend[4] = info->mallocs;
1544 
1545   ierr = MatGetInfo(B,MAT_LOCAL,info);CHKERRQ(ierr);
1546 
1547   isend[0] += info->nz_used; isend[1] += info->nz_allocated; isend[2] += info->nz_unneeded;
1548   isend[3] += info->memory;  isend[4] += info->mallocs;
1549 
1550   if (flag == MAT_LOCAL) {
1551     info->nz_used      = isend[0];
1552     info->nz_allocated = isend[1];
1553     info->nz_unneeded  = isend[2];
1554     info->memory       = isend[3];
1555     info->mallocs      = isend[4];
1556   } else if (flag == MAT_GLOBAL_MAX) {
1557     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)matin));CHKERRQ(ierr);
1558 
1559     info->nz_used      = irecv[0];
1560     info->nz_allocated = irecv[1];
1561     info->nz_unneeded  = irecv[2];
1562     info->memory       = irecv[3];
1563     info->mallocs      = irecv[4];
1564   } else if (flag == MAT_GLOBAL_SUM) {
1565     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)matin));CHKERRQ(ierr);
1566 
1567     info->nz_used      = irecv[0];
1568     info->nz_allocated = irecv[1];
1569     info->nz_unneeded  = irecv[2];
1570     info->memory       = irecv[3];
1571     info->mallocs      = irecv[4];
1572   } else SETERRQ1(PetscObjectComm((PetscObject)matin),PETSC_ERR_ARG_WRONG,"Unknown MatInfoType argument %d",(int)flag);
1573   info->fill_ratio_given  = 0; /* no parallel LU/ILU/Cholesky */
1574   info->fill_ratio_needed = 0;
1575   info->factor_mallocs    = 0;
1576   PetscFunctionReturn(0);
1577 }
1578 
1579 #undef __FUNCT__
1580 #define __FUNCT__ "MatSetOption_MPIBAIJ"
1581 PetscErrorCode MatSetOption_MPIBAIJ(Mat A,MatOption op,PetscBool flg)
1582 {
1583   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1584   PetscErrorCode ierr;
1585 
1586   PetscFunctionBegin;
1587   switch (op) {
1588   case MAT_NEW_NONZERO_LOCATIONS:
1589   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1590   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1591   case MAT_KEEP_NONZERO_PATTERN:
1592   case MAT_NEW_NONZERO_LOCATION_ERR:
1593     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1594     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1595     break;
1596   case MAT_ROW_ORIENTED:
1597     a->roworiented = flg;
1598 
1599     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1600     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1601     break;
1602   case MAT_NEW_DIAGONALS:
1603     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1604     break;
1605   case MAT_IGNORE_OFF_PROC_ENTRIES:
1606     a->donotstash = flg;
1607     break;
1608   case MAT_USE_HASH_TABLE:
1609     a->ht_flag = flg;
1610     break;
1611   case MAT_SYMMETRIC:
1612   case MAT_STRUCTURALLY_SYMMETRIC:
1613   case MAT_HERMITIAN:
1614   case MAT_SYMMETRY_ETERNAL:
1615     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1616     break;
1617   default:
1618     SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"unknown option %d",op);
1619   }
1620   PetscFunctionReturn(0);
1621 }
1622 
1623 #undef __FUNCT__
1624 #define __FUNCT__ "MatTranspose_MPIBAIJ"
1625 PetscErrorCode MatTranspose_MPIBAIJ(Mat A,MatReuse reuse,Mat *matout)
1626 {
1627   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)A->data;
1628   Mat_SeqBAIJ    *Aloc;
1629   Mat            B;
1630   PetscErrorCode ierr;
1631   PetscInt       M =A->rmap->N,N=A->cmap->N,*ai,*aj,i,*rvals,j,k,col;
1632   PetscInt       bs=A->rmap->bs,mbs=baij->mbs;
1633   MatScalar      *a;
1634 
1635   PetscFunctionBegin;
1636   if (reuse == MAT_REUSE_MATRIX && A == *matout && M != N) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Square matrix only for in-place");
1637   if (reuse == MAT_INITIAL_MATRIX || *matout == A) {
1638     ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
1639     ierr = MatSetSizes(B,A->cmap->n,A->rmap->n,N,M);CHKERRQ(ierr);
1640     ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
1641     /* Do not know preallocation information, but must set block size */
1642     ierr = MatMPIBAIJSetPreallocation(B,A->rmap->bs,PETSC_DECIDE,NULL,PETSC_DECIDE,NULL);CHKERRQ(ierr);
1643   } else {
1644     B = *matout;
1645   }
1646 
1647   /* copy over the A part */
1648   Aloc = (Mat_SeqBAIJ*)baij->A->data;
1649   ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
1650   ierr = PetscMalloc(bs*sizeof(PetscInt),&rvals);CHKERRQ(ierr);
1651 
1652   for (i=0; i<mbs; i++) {
1653     rvals[0] = bs*(baij->rstartbs + i);
1654     for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
1655     for (j=ai[i]; j<ai[i+1]; j++) {
1656       col = (baij->cstartbs+aj[j])*bs;
1657       for (k=0; k<bs; k++) {
1658         ierr = MatSetValues_MPIBAIJ(B,1,&col,bs,rvals,a,INSERT_VALUES);CHKERRQ(ierr);
1659 
1660         col++; a += bs;
1661       }
1662     }
1663   }
1664   /* copy over the B part */
1665   Aloc = (Mat_SeqBAIJ*)baij->B->data;
1666   ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
1667   for (i=0; i<mbs; i++) {
1668     rvals[0] = bs*(baij->rstartbs + i);
1669     for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
1670     for (j=ai[i]; j<ai[i+1]; j++) {
1671       col = baij->garray[aj[j]]*bs;
1672       for (k=0; k<bs; k++) {
1673         ierr = MatSetValues_MPIBAIJ(B,1,&col,bs,rvals,a,INSERT_VALUES);CHKERRQ(ierr);
1674         col++;
1675         a += bs;
1676       }
1677     }
1678   }
1679   ierr = PetscFree(rvals);CHKERRQ(ierr);
1680   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1681   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1682 
1683   if (reuse == MAT_INITIAL_MATRIX || *matout != A) *matout = B;
1684   else {
1685     ierr = MatHeaderMerge(A,B);CHKERRQ(ierr);
1686   }
1687   PetscFunctionReturn(0);
1688 }
1689 
1690 #undef __FUNCT__
1691 #define __FUNCT__ "MatDiagonalScale_MPIBAIJ"
1692 PetscErrorCode MatDiagonalScale_MPIBAIJ(Mat mat,Vec ll,Vec rr)
1693 {
1694   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
1695   Mat            a     = baij->A,b = baij->B;
1696   PetscErrorCode ierr;
1697   PetscInt       s1,s2,s3;
1698 
1699   PetscFunctionBegin;
1700   ierr = MatGetLocalSize(mat,&s2,&s3);CHKERRQ(ierr);
1701   if (rr) {
1702     ierr = VecGetLocalSize(rr,&s1);CHKERRQ(ierr);
1703     if (s1!=s3) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"right vector non-conforming local size");
1704     /* Overlap communication with computation. */
1705     ierr = VecScatterBegin(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1706   }
1707   if (ll) {
1708     ierr = VecGetLocalSize(ll,&s1);CHKERRQ(ierr);
1709     if (s1!=s2) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"left vector non-conforming local size");
1710     ierr = (*b->ops->diagonalscale)(b,ll,NULL);CHKERRQ(ierr);
1711   }
1712   /* scale  the diagonal block */
1713   ierr = (*a->ops->diagonalscale)(a,ll,rr);CHKERRQ(ierr);
1714 
1715   if (rr) {
1716     /* Do a scatter end and then right scale the off-diagonal block */
1717     ierr = VecScatterEnd(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1718     ierr = (*b->ops->diagonalscale)(b,NULL,baij->lvec);CHKERRQ(ierr);
1719   }
1720   PetscFunctionReturn(0);
1721 }
1722 
1723 #undef __FUNCT__
1724 #define __FUNCT__ "MatZeroRows_MPIBAIJ"
1725 PetscErrorCode MatZeroRows_MPIBAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1726 {
1727   Mat_MPIBAIJ       *l = (Mat_MPIBAIJ*)A->data;
1728   PetscErrorCode    ierr;
1729   PetscMPIInt       imdex,size = l->size,n,rank = l->rank;
1730   PetscInt          i,*owners = A->rmap->range;
1731   PetscInt          *nprocs,j,idx,nsends,row;
1732   PetscInt          nmax,*svalues,*starts,*owner,nrecvs;
1733   PetscInt          *rvalues,tag = ((PetscObject)A)->tag,count,base,slen,*source,lastidx = -1;
1734   PetscInt          *lens,*lrows,*values,rstart_bs=A->rmap->rstart;
1735   MPI_Comm          comm;
1736   MPI_Request       *send_waits,*recv_waits;
1737   MPI_Status        recv_status,*send_status;
1738   const PetscScalar *xx;
1739   PetscScalar       *bb;
1740 #if defined(PETSC_DEBUG)
1741   PetscBool         found = PETSC_FALSE;
1742 #endif
1743 
1744   PetscFunctionBegin;
1745   ierr = PetscObjectGetComm((PetscObject)A,&comm);CHKERRQ(ierr);
1746   /*  first count number of contributors to each processor */
1747   ierr = PetscMalloc(2*size*sizeof(PetscInt),&nprocs);CHKERRQ(ierr);
1748   ierr = PetscMemzero(nprocs,2*size*sizeof(PetscInt));CHKERRQ(ierr);
1749   ierr = PetscMalloc((N+1)*sizeof(PetscInt),&owner);CHKERRQ(ierr);  /* see note*/
1750   j    = 0;
1751   for (i=0; i<N; i++) {
1752     if (lastidx > (idx = rows[i])) j = 0;
1753     lastidx = idx;
1754     for (; j<size; j++) {
1755       if (idx >= owners[j] && idx < owners[j+1]) {
1756         nprocs[2*j]++;
1757         nprocs[2*j+1] = 1;
1758         owner[i]      = j;
1759 #if defined(PETSC_DEBUG)
1760         found = PETSC_TRUE;
1761 #endif
1762         break;
1763       }
1764     }
1765 #if defined(PETSC_DEBUG)
1766     if (!found) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Index out of range");
1767     found = PETSC_FALSE;
1768 #endif
1769   }
1770   nsends = 0;  for (i=0; i<size; i++) nsends += nprocs[2*i+1];
1771 
1772   if (A->nooffproczerorows) {
1773     if (nsends > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"You called MatSetOption(,MAT_NO_OFF_PROC_ZERO_ROWS,PETSC_TRUE) but set an off process zero row");
1774     nrecvs = nsends;
1775     nmax   = N;
1776   } else {
1777     /* inform other processors of number of messages and max length*/
1778     ierr = PetscMaxSum(comm,nprocs,&nmax,&nrecvs);CHKERRQ(ierr);
1779   }
1780 
1781   /* post receives:   */
1782   ierr = PetscMalloc((nrecvs+1)*(nmax+1)*sizeof(PetscInt),&rvalues);CHKERRQ(ierr);
1783   ierr = PetscMalloc((nrecvs+1)*sizeof(MPI_Request),&recv_waits);CHKERRQ(ierr);
1784   for (i=0; i<nrecvs; i++) {
1785     ierr = MPI_Irecv(rvalues+nmax*i,nmax,MPIU_INT,MPI_ANY_SOURCE,tag,comm,recv_waits+i);CHKERRQ(ierr);
1786   }
1787 
1788   /* do sends:
1789      1) starts[i] gives the starting index in svalues for stuff going to
1790      the ith processor
1791   */
1792   ierr      = PetscMalloc((N+1)*sizeof(PetscInt),&svalues);CHKERRQ(ierr);
1793   ierr      = PetscMalloc((nsends+1)*sizeof(MPI_Request),&send_waits);CHKERRQ(ierr);
1794   ierr      = PetscMalloc((size+1)*sizeof(PetscInt),&starts);CHKERRQ(ierr);
1795   starts[0] = 0;
1796   for (i=1; i<size; i++) starts[i] = starts[i-1] + nprocs[2*i-2];
1797   for (i=0; i<N; i++) {
1798     svalues[starts[owner[i]]++] = rows[i];
1799   }
1800 
1801   starts[0] = 0;
1802   for (i=1; i<size+1; i++) starts[i] = starts[i-1] + nprocs[2*i-2];
1803   count = 0;
1804   for (i=0; i<size; i++) {
1805     if (nprocs[2*i+1]) {
1806       ierr = MPI_Isend(svalues+starts[i],nprocs[2*i],MPIU_INT,i,tag,comm,send_waits+count++);CHKERRQ(ierr);
1807     }
1808   }
1809   ierr = PetscFree(starts);CHKERRQ(ierr);
1810 
1811   base = owners[rank];
1812 
1813   /*  wait on receives */
1814   ierr  = PetscMalloc2(nrecvs+1,PetscInt,&lens,nrecvs+1,PetscInt,&source);CHKERRQ(ierr);
1815   count = nrecvs;
1816   slen  = 0;
1817   while (count) {
1818     ierr = MPI_Waitany(nrecvs,recv_waits,&imdex,&recv_status);CHKERRQ(ierr);
1819     /* unpack receives into our local space */
1820     ierr = MPI_Get_count(&recv_status,MPIU_INT,&n);CHKERRQ(ierr);
1821 
1822     source[imdex] = recv_status.MPI_SOURCE;
1823     lens[imdex]   = n;
1824     slen         += n;
1825     count--;
1826   }
1827   ierr = PetscFree(recv_waits);CHKERRQ(ierr);
1828 
1829   /* move the data into the send scatter */
1830   ierr  = PetscMalloc((slen+1)*sizeof(PetscInt),&lrows);CHKERRQ(ierr);
1831   count = 0;
1832   for (i=0; i<nrecvs; i++) {
1833     values = rvalues + i*nmax;
1834     for (j=0; j<lens[i]; j++) {
1835       lrows[count++] = values[j] - base;
1836     }
1837   }
1838   ierr = PetscFree(rvalues);CHKERRQ(ierr);
1839   ierr = PetscFree2(lens,source);CHKERRQ(ierr);
1840   ierr = PetscFree(owner);CHKERRQ(ierr);
1841   ierr = PetscFree(nprocs);CHKERRQ(ierr);
1842 
1843   /* fix right hand side if needed */
1844   if (x && b) {
1845     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1846     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1847     for (i=0; i<slen; i++) {
1848       bb[lrows[i]] = diag*xx[lrows[i]];
1849     }
1850     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1851     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1852   }
1853 
1854   /* actually zap the local rows */
1855   /*
1856         Zero the required rows. If the "diagonal block" of the matrix
1857      is square and the user wishes to set the diagonal we use separate
1858      code so that MatSetValues() is not called for each diagonal allocating
1859      new memory, thus calling lots of mallocs and slowing things down.
1860 
1861   */
1862   /* must zero l->B before l->A because the (diag) case below may put values into l->B*/
1863   ierr = MatZeroRows_SeqBAIJ(l->B,slen,lrows,0.0,0,0);CHKERRQ(ierr);
1864   if ((diag != 0.0) && (l->A->rmap->N == l->A->cmap->N)) {
1865     ierr = MatZeroRows_SeqBAIJ(l->A,slen,lrows,diag,0,0);CHKERRQ(ierr);
1866   } else if (diag != 0.0) {
1867     ierr = MatZeroRows_SeqBAIJ(l->A,slen,lrows,0.0,0,0);CHKERRQ(ierr);
1868     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\
1869        MAT_NEW_NONZERO_LOCATIONS,MAT_NEW_NONZERO_LOCATION_ERR,MAT_NEW_NONZERO_ALLOCATION_ERR");
1870     for (i=0; i<slen; i++) {
1871       row  = lrows[i] + rstart_bs;
1872       ierr = MatSetValues(A,1,&row,1,&row,&diag,INSERT_VALUES);CHKERRQ(ierr);
1873     }
1874     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1875     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1876   } else {
1877     ierr = MatZeroRows_SeqBAIJ(l->A,slen,lrows,0.0,0,0);CHKERRQ(ierr);
1878   }
1879 
1880   ierr = PetscFree(lrows);CHKERRQ(ierr);
1881 
1882   /* wait on sends */
1883   if (nsends) {
1884     ierr = PetscMalloc(nsends*sizeof(MPI_Status),&send_status);CHKERRQ(ierr);
1885     ierr = MPI_Waitall(nsends,send_waits,send_status);CHKERRQ(ierr);
1886     ierr = PetscFree(send_status);CHKERRQ(ierr);
1887   }
1888   ierr = PetscFree(send_waits);CHKERRQ(ierr);
1889   ierr = PetscFree(svalues);CHKERRQ(ierr);
1890   PetscFunctionReturn(0);
1891 }
1892 
1893 #undef __FUNCT__
1894 #define __FUNCT__ "MatSetUnfactored_MPIBAIJ"
1895 PetscErrorCode MatSetUnfactored_MPIBAIJ(Mat A)
1896 {
1897   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1898   PetscErrorCode ierr;
1899 
1900   PetscFunctionBegin;
1901   ierr = MatSetUnfactored(a->A);CHKERRQ(ierr);
1902   PetscFunctionReturn(0);
1903 }
1904 
1905 static PetscErrorCode MatDuplicate_MPIBAIJ(Mat,MatDuplicateOption,Mat*);
1906 
1907 #undef __FUNCT__
1908 #define __FUNCT__ "MatEqual_MPIBAIJ"
1909 PetscErrorCode MatEqual_MPIBAIJ(Mat A,Mat B,PetscBool  *flag)
1910 {
1911   Mat_MPIBAIJ    *matB = (Mat_MPIBAIJ*)B->data,*matA = (Mat_MPIBAIJ*)A->data;
1912   Mat            a,b,c,d;
1913   PetscBool      flg;
1914   PetscErrorCode ierr;
1915 
1916   PetscFunctionBegin;
1917   a = matA->A; b = matA->B;
1918   c = matB->A; d = matB->B;
1919 
1920   ierr = MatEqual(a,c,&flg);CHKERRQ(ierr);
1921   if (flg) {
1922     ierr = MatEqual(b,d,&flg);CHKERRQ(ierr);
1923   }
1924   ierr = MPI_Allreduce(&flg,flag,1,MPIU_BOOL,MPI_LAND,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
1925   PetscFunctionReturn(0);
1926 }
1927 
1928 #undef __FUNCT__
1929 #define __FUNCT__ "MatCopy_MPIBAIJ"
1930 PetscErrorCode MatCopy_MPIBAIJ(Mat A,Mat B,MatStructure str)
1931 {
1932   PetscErrorCode ierr;
1933   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1934   Mat_MPIBAIJ    *b = (Mat_MPIBAIJ*)B->data;
1935 
1936   PetscFunctionBegin;
1937   /* If the two matrices don't have the same copy implementation, they aren't compatible for fast copy. */
1938   if ((str != SAME_NONZERO_PATTERN) || (A->ops->copy != B->ops->copy)) {
1939     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
1940   } else {
1941     ierr = MatCopy(a->A,b->A,str);CHKERRQ(ierr);
1942     ierr = MatCopy(a->B,b->B,str);CHKERRQ(ierr);
1943   }
1944   PetscFunctionReturn(0);
1945 }
1946 
1947 #undef __FUNCT__
1948 #define __FUNCT__ "MatSetUp_MPIBAIJ"
1949 PetscErrorCode MatSetUp_MPIBAIJ(Mat A)
1950 {
1951   PetscErrorCode ierr;
1952 
1953   PetscFunctionBegin;
1954   ierr =  MatMPIBAIJSetPreallocation(A,A->rmap->bs,PETSC_DEFAULT,0,PETSC_DEFAULT,0);CHKERRQ(ierr);
1955   PetscFunctionReturn(0);
1956 }
1957 
1958 #undef __FUNCT__
1959 #define __FUNCT__ "MatAXPY_MPIBAIJ"
1960 PetscErrorCode MatAXPY_MPIBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
1961 {
1962   PetscErrorCode ierr;
1963   Mat_MPIBAIJ    *xx=(Mat_MPIBAIJ*)X->data,*yy=(Mat_MPIBAIJ*)Y->data;
1964   PetscBLASInt   bnz,one=1;
1965   Mat_SeqBAIJ    *x,*y;
1966 
1967   PetscFunctionBegin;
1968   if (str == SAME_NONZERO_PATTERN) {
1969     PetscScalar alpha = a;
1970     x    = (Mat_SeqBAIJ*)xx->A->data;
1971     y    = (Mat_SeqBAIJ*)yy->A->data;
1972     ierr = PetscBLASIntCast(x->nz,&bnz);CHKERRQ(ierr);
1973     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
1974     x    = (Mat_SeqBAIJ*)xx->B->data;
1975     y    = (Mat_SeqBAIJ*)yy->B->data;
1976     ierr = PetscBLASIntCast(x->nz,&bnz);CHKERRQ(ierr);
1977     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
1978   } else {
1979     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
1980   }
1981   PetscFunctionReturn(0);
1982 }
1983 
1984 #undef __FUNCT__
1985 #define __FUNCT__ "MatRealPart_MPIBAIJ"
1986 PetscErrorCode MatRealPart_MPIBAIJ(Mat A)
1987 {
1988   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1989   PetscErrorCode ierr;
1990 
1991   PetscFunctionBegin;
1992   ierr = MatRealPart(a->A);CHKERRQ(ierr);
1993   ierr = MatRealPart(a->B);CHKERRQ(ierr);
1994   PetscFunctionReturn(0);
1995 }
1996 
1997 #undef __FUNCT__
1998 #define __FUNCT__ "MatImaginaryPart_MPIBAIJ"
1999 PetscErrorCode MatImaginaryPart_MPIBAIJ(Mat A)
2000 {
2001   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
2002   PetscErrorCode ierr;
2003 
2004   PetscFunctionBegin;
2005   ierr = MatImaginaryPart(a->A);CHKERRQ(ierr);
2006   ierr = MatImaginaryPart(a->B);CHKERRQ(ierr);
2007   PetscFunctionReturn(0);
2008 }
2009 
2010 #undef __FUNCT__
2011 #define __FUNCT__ "MatGetSubMatrix_MPIBAIJ"
2012 PetscErrorCode MatGetSubMatrix_MPIBAIJ(Mat mat,IS isrow,IS iscol,MatReuse call,Mat *newmat)
2013 {
2014   PetscErrorCode ierr;
2015   IS             iscol_local;
2016   PetscInt       csize;
2017 
2018   PetscFunctionBegin;
2019   ierr = ISGetLocalSize(iscol,&csize);CHKERRQ(ierr);
2020   if (call == MAT_REUSE_MATRIX) {
2021     ierr = PetscObjectQuery((PetscObject)*newmat,"ISAllGather",(PetscObject*)&iscol_local);CHKERRQ(ierr);
2022     if (!iscol_local) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Submatrix passed in was not used before, cannot reuse");
2023   } else {
2024     ierr = ISAllGather(iscol,&iscol_local);CHKERRQ(ierr);
2025   }
2026   ierr = MatGetSubMatrix_MPIBAIJ_Private(mat,isrow,iscol_local,csize,call,newmat);CHKERRQ(ierr);
2027   if (call == MAT_INITIAL_MATRIX) {
2028     ierr = PetscObjectCompose((PetscObject)*newmat,"ISAllGather",(PetscObject)iscol_local);CHKERRQ(ierr);
2029     ierr = ISDestroy(&iscol_local);CHKERRQ(ierr);
2030   }
2031   PetscFunctionReturn(0);
2032 }
2033 extern PetscErrorCode MatGetSubMatrices_MPIBAIJ_local(Mat,PetscInt,const IS[],const IS[],MatReuse,PetscBool*,PetscBool*,Mat*);
2034 #undef __FUNCT__
2035 #define __FUNCT__ "MatGetSubMatrix_MPIBAIJ_Private"
2036 /*
2037   Not great since it makes two copies of the submatrix, first an SeqBAIJ
2038   in local and then by concatenating the local matrices the end result.
2039   Writing it directly would be much like MatGetSubMatrices_MPIBAIJ()
2040 */
2041 PetscErrorCode MatGetSubMatrix_MPIBAIJ_Private(Mat mat,IS isrow,IS iscol,PetscInt csize,MatReuse call,Mat *newmat)
2042 {
2043   PetscErrorCode ierr;
2044   PetscMPIInt    rank,size;
2045   PetscInt       i,m,n,rstart,row,rend,nz,*cwork,j,bs;
2046   PetscInt       *ii,*jj,nlocal,*dlens,*olens,dlen,olen,jend,mglobal,ncol,nrow;
2047   Mat            M,Mreuse;
2048   MatScalar      *vwork,*aa;
2049   MPI_Comm       comm;
2050   IS             isrow_new, iscol_new;
2051   PetscBool      idflag,allrows, allcols;
2052   Mat_SeqBAIJ    *aij;
2053 
2054   PetscFunctionBegin;
2055   ierr = PetscObjectGetComm((PetscObject)mat,&comm);CHKERRQ(ierr);
2056   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
2057   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2058   /* The compression and expansion should be avoided. Doesn't point
2059      out errors, might change the indices, hence buggey */
2060   ierr = ISCompressIndicesGeneral(mat->rmap->N,mat->rmap->n,mat->rmap->bs,1,&isrow,&isrow_new);CHKERRQ(ierr);
2061   ierr = ISCompressIndicesGeneral(mat->cmap->N,mat->cmap->n,mat->cmap->bs,1,&iscol,&iscol_new);CHKERRQ(ierr);
2062 
2063   /* Check for special case: each processor gets entire matrix columns */
2064   ierr = ISIdentity(iscol,&idflag);CHKERRQ(ierr);
2065   ierr = ISGetLocalSize(iscol,&ncol);CHKERRQ(ierr);
2066   if (idflag && ncol == mat->cmap->N) allcols = PETSC_TRUE;
2067   else allcols = PETSC_FALSE;
2068 
2069   ierr = ISIdentity(isrow,&idflag);CHKERRQ(ierr);
2070   ierr = ISGetLocalSize(isrow,&nrow);CHKERRQ(ierr);
2071   if (idflag && nrow == mat->rmap->N) allrows = PETSC_TRUE;
2072   else allrows = PETSC_FALSE;
2073 
2074   if (call ==  MAT_REUSE_MATRIX) {
2075     ierr = PetscObjectQuery((PetscObject)*newmat,"SubMatrix",(PetscObject*)&Mreuse);CHKERRQ(ierr);
2076     if (!Mreuse) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Submatrix passed in was not used before, cannot reuse");
2077     ierr = MatGetSubMatrices_MPIBAIJ_local(mat,1,&isrow_new,&iscol_new,MAT_REUSE_MATRIX,&allrows,&allcols,&Mreuse);CHKERRQ(ierr);
2078   } else {
2079     ierr = MatGetSubMatrices_MPIBAIJ_local(mat,1,&isrow_new,&iscol_new,MAT_INITIAL_MATRIX,&allrows,&allcols,&Mreuse);CHKERRQ(ierr);
2080   }
2081   ierr = ISDestroy(&isrow_new);CHKERRQ(ierr);
2082   ierr = ISDestroy(&iscol_new);CHKERRQ(ierr);
2083   /*
2084       m - number of local rows
2085       n - number of columns (same on all processors)
2086       rstart - first row in new global matrix generated
2087   */
2088   ierr = MatGetBlockSize(mat,&bs);CHKERRQ(ierr);
2089   ierr = MatGetSize(Mreuse,&m,&n);CHKERRQ(ierr);
2090   m    = m/bs;
2091   n    = n/bs;
2092 
2093   if (call == MAT_INITIAL_MATRIX) {
2094     aij = (Mat_SeqBAIJ*)(Mreuse)->data;
2095     ii  = aij->i;
2096     jj  = aij->j;
2097 
2098     /*
2099         Determine the number of non-zeros in the diagonal and off-diagonal
2100         portions of the matrix in order to do correct preallocation
2101     */
2102 
2103     /* first get start and end of "diagonal" columns */
2104     if (csize == PETSC_DECIDE) {
2105       ierr = ISGetSize(isrow,&mglobal);CHKERRQ(ierr);
2106       if (mglobal == n*bs) { /* square matrix */
2107         nlocal = m;
2108       } else {
2109         nlocal = n/size + ((n % size) > rank);
2110       }
2111     } else {
2112       nlocal = csize/bs;
2113     }
2114     ierr   = MPI_Scan(&nlocal,&rend,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
2115     rstart = rend - nlocal;
2116     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);
2117 
2118     /* next, compute all the lengths */
2119     ierr  = PetscMalloc2(m+1,PetscInt,&dlens,m+1,PetscInt,&olens);CHKERRQ(ierr);
2120     for (i=0; i<m; i++) {
2121       jend = ii[i+1] - ii[i];
2122       olen = 0;
2123       dlen = 0;
2124       for (j=0; j<jend; j++) {
2125         if (*jj < rstart || *jj >= rend) olen++;
2126         else dlen++;
2127         jj++;
2128       }
2129       olens[i] = olen;
2130       dlens[i] = dlen;
2131     }
2132     ierr = MatCreate(comm,&M);CHKERRQ(ierr);
2133     ierr = MatSetSizes(M,bs*m,bs*nlocal,PETSC_DECIDE,bs*n);CHKERRQ(ierr);
2134     ierr = MatSetType(M,((PetscObject)mat)->type_name);CHKERRQ(ierr);
2135     ierr = MatMPIBAIJSetPreallocation(M,bs,0,dlens,0,olens);CHKERRQ(ierr);
2136     ierr = PetscFree2(dlens,olens);CHKERRQ(ierr);
2137   } else {
2138     PetscInt ml,nl;
2139 
2140     M    = *newmat;
2141     ierr = MatGetLocalSize(M,&ml,&nl);CHKERRQ(ierr);
2142     if (ml != m) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Previous matrix must be same size/layout as request");
2143     ierr = MatZeroEntries(M);CHKERRQ(ierr);
2144     /*
2145          The next two lines are needed so we may call MatSetValues_MPIAIJ() below directly,
2146        rather than the slower MatSetValues().
2147     */
2148     M->was_assembled = PETSC_TRUE;
2149     M->assembled     = PETSC_FALSE;
2150   }
2151   ierr = MatSetOption(M,MAT_ROW_ORIENTED,PETSC_FALSE);CHKERRQ(ierr);
2152   ierr = MatGetOwnershipRange(M,&rstart,&rend);CHKERRQ(ierr);
2153   aij  = (Mat_SeqBAIJ*)(Mreuse)->data;
2154   ii   = aij->i;
2155   jj   = aij->j;
2156   aa   = aij->a;
2157   for (i=0; i<m; i++) {
2158     row   = rstart/bs + i;
2159     nz    = ii[i+1] - ii[i];
2160     cwork = jj;     jj += nz;
2161     vwork = aa;     aa += nz*bs*bs;
2162     ierr  = MatSetValuesBlocked_MPIBAIJ(M,1,&row,nz,cwork,vwork,INSERT_VALUES);CHKERRQ(ierr);
2163   }
2164 
2165   ierr    = MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2166   ierr    = MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2167   *newmat = M;
2168 
2169   /* save submatrix used in processor for next request */
2170   if (call ==  MAT_INITIAL_MATRIX) {
2171     ierr = PetscObjectCompose((PetscObject)M,"SubMatrix",(PetscObject)Mreuse);CHKERRQ(ierr);
2172     ierr = PetscObjectDereference((PetscObject)Mreuse);CHKERRQ(ierr);
2173   }
2174   PetscFunctionReturn(0);
2175 }
2176 
2177 #undef __FUNCT__
2178 #define __FUNCT__ "MatPermute_MPIBAIJ"
2179 PetscErrorCode MatPermute_MPIBAIJ(Mat A,IS rowp,IS colp,Mat *B)
2180 {
2181   MPI_Comm       comm,pcomm;
2182   PetscInt       first,rlocal_size,clocal_size,nrows;
2183   const PetscInt *rows;
2184   PetscMPIInt    size;
2185   IS             crowp,growp,irowp,lrowp,lcolp;
2186   PetscErrorCode ierr;
2187 
2188   PetscFunctionBegin;
2189   ierr = PetscObjectGetComm((PetscObject)A,&comm);CHKERRQ(ierr);
2190   /* make a collective version of 'rowp' */
2191   ierr = PetscObjectGetComm((PetscObject)rowp,&pcomm);CHKERRQ(ierr);
2192   if (pcomm==comm) {
2193     crowp = rowp;
2194   } else {
2195     ierr = ISGetSize(rowp,&nrows);CHKERRQ(ierr);
2196     ierr = ISGetIndices(rowp,&rows);CHKERRQ(ierr);
2197     ierr = ISCreateGeneral(comm,nrows,rows,PETSC_COPY_VALUES,&crowp);CHKERRQ(ierr);
2198     ierr = ISRestoreIndices(rowp,&rows);CHKERRQ(ierr);
2199   }
2200   /* collect the global row permutation and invert it */
2201   ierr = ISAllGather(crowp,&growp);CHKERRQ(ierr);
2202   ierr = ISSetPermutation(growp);CHKERRQ(ierr);
2203   if (pcomm!=comm) {
2204     ierr = ISDestroy(&crowp);CHKERRQ(ierr);
2205   }
2206   ierr = ISInvertPermutation(growp,PETSC_DECIDE,&irowp);CHKERRQ(ierr);
2207   ierr = ISDestroy(&growp);CHKERRQ(ierr);
2208   /* get the local target indices */
2209   ierr = MatGetOwnershipRange(A,&first,NULL);CHKERRQ(ierr);
2210   ierr = MatGetLocalSize(A,&rlocal_size,&clocal_size);CHKERRQ(ierr);
2211   ierr = ISGetIndices(irowp,&rows);CHKERRQ(ierr);
2212   ierr = ISCreateGeneral(MPI_COMM_SELF,rlocal_size,rows+first,PETSC_COPY_VALUES,&lrowp);CHKERRQ(ierr);
2213   ierr = ISRestoreIndices(irowp,&rows);CHKERRQ(ierr);
2214   ierr = ISDestroy(&irowp);CHKERRQ(ierr);
2215   /* the column permutation is so much easier;
2216      make a local version of 'colp' and invert it */
2217   ierr = PetscObjectGetComm((PetscObject)colp,&pcomm);CHKERRQ(ierr);
2218   ierr = MPI_Comm_size(pcomm,&size);CHKERRQ(ierr);
2219   if (size==1) {
2220     lcolp = colp;
2221   } else {
2222     ierr = ISAllGather(colp,&lcolp);CHKERRQ(ierr);
2223   }
2224   ierr = ISSetPermutation(lcolp);CHKERRQ(ierr);
2225   /* now we just get the submatrix */
2226   ierr = MatGetSubMatrix_MPIBAIJ_Private(A,lrowp,lcolp,clocal_size,MAT_INITIAL_MATRIX,B);CHKERRQ(ierr);
2227   if (size>1) {
2228     ierr = ISDestroy(&lcolp);CHKERRQ(ierr);
2229   }
2230   /* clean up */
2231   ierr = ISDestroy(&lrowp);CHKERRQ(ierr);
2232   PetscFunctionReturn(0);
2233 }
2234 
2235 #undef __FUNCT__
2236 #define __FUNCT__ "MatGetGhosts_MPIBAIJ"
2237 PetscErrorCode  MatGetGhosts_MPIBAIJ(Mat mat,PetscInt *nghosts,const PetscInt *ghosts[])
2238 {
2239   Mat_MPIBAIJ *baij = (Mat_MPIBAIJ*) mat->data;
2240   Mat_SeqBAIJ *B    = (Mat_SeqBAIJ*)baij->B->data;
2241 
2242   PetscFunctionBegin;
2243   if (nghosts) *nghosts = B->nbs;
2244   if (ghosts) *ghosts = baij->garray;
2245   PetscFunctionReturn(0);
2246 }
2247 
2248 extern PetscErrorCode MatCreateColmap_MPIBAIJ_Private(Mat);
2249 
2250 #undef __FUNCT__
2251 #define __FUNCT__ "MatFDColoringCreate_MPIBAIJ"
2252 /*
2253     This routine is almost identical to MatFDColoringCreate_MPIBAIJ()!
2254 */
2255 PetscErrorCode MatFDColoringCreate_MPIBAIJ(Mat mat,ISColoring iscoloring,MatFDColoring c)
2256 {
2257   Mat_MPIBAIJ            *baij = (Mat_MPIBAIJ*)mat->data;
2258   PetscErrorCode         ierr;
2259   PetscMPIInt            size,*ncolsonproc,*disp,nn;
2260   PetscInt               bs,i,n,nrows,j,k,m,ncols,col;
2261   const PetscInt         *is,*rows = 0,*A_ci,*A_cj,*B_ci,*B_cj,*ltog;
2262   PetscInt               nis = iscoloring->n,nctot,*cols;
2263   PetscInt               *rowhit,M,cstart,cend,colb;
2264   PetscInt               *columnsforrow,l;
2265   IS                     *isa;
2266   PetscBool              done,flg;
2267   ISLocalToGlobalMapping map = mat->cmap->bmapping;
2268   PetscInt               ctype=c->ctype;
2269 
2270   PetscFunctionBegin;
2271   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Matrix must be assembled first; MatAssemblyBegin/End();");
2272   if (ctype == IS_COLORING_GHOSTED && !map) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_INCOMP,"When using ghosted differencing matrix must have local to global mapping provided with MatSetLocalToGlobalMappingBlock");
2273 
2274   if (map) {ierr = ISLocalToGlobalMappingGetIndices(map,&ltog);CHKERRQ(ierr);}
2275   else     ltog = NULL;
2276   ierr = ISColoringGetIS(iscoloring,PETSC_IGNORE,&isa);CHKERRQ(ierr);
2277   ierr = MatGetBlockSize(mat,&bs);CHKERRQ(ierr);
2278 
2279   M         = mat->rmap->n/bs;
2280   cstart    = mat->cmap->rstart/bs;
2281   cend      = mat->cmap->rend/bs;
2282   c->M      = mat->rmap->N/bs;         /* set the global rows and columns and local rows */
2283   c->N      = mat->cmap->N/bs;
2284   c->m      = mat->rmap->n/bs;
2285   c->rstart = mat->rmap->rstart/bs;
2286 
2287   c->ncolors = nis;
2288   ierr       = PetscMalloc(nis*sizeof(PetscInt),&c->ncolumns);CHKERRQ(ierr);
2289   ierr       = PetscMalloc(nis*sizeof(PetscInt*),&c->columns);CHKERRQ(ierr);
2290   ierr       = PetscMalloc(nis*sizeof(PetscInt),&c->nrows);CHKERRQ(ierr);
2291   ierr       = PetscMalloc(nis*sizeof(PetscInt*),&c->rows);CHKERRQ(ierr);
2292   ierr       = PetscMalloc(nis*sizeof(PetscInt*),&c->columnsforrow);CHKERRQ(ierr);
2293   ierr       = PetscLogObjectMemory((PetscObject)c,5*nis*sizeof(PetscInt));CHKERRQ(ierr);
2294 
2295   /* Allow access to data structures of local part of matrix */
2296   if (!baij->colmap) {
2297     ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
2298   }
2299   ierr = MatGetColumnIJ(baij->A,0,PETSC_FALSE,PETSC_FALSE,&ncols,&A_ci,&A_cj,&done);CHKERRQ(ierr);
2300   ierr = MatGetColumnIJ(baij->B,0,PETSC_FALSE,PETSC_FALSE,&ncols,&B_ci,&B_cj,&done);CHKERRQ(ierr);
2301 
2302   ierr = PetscMalloc((M+1)*sizeof(PetscInt),&rowhit);CHKERRQ(ierr);
2303   ierr = PetscMalloc((M+1)*sizeof(PetscInt),&columnsforrow);CHKERRQ(ierr);
2304 
2305   for (i=0; i<nis; i++) {
2306     ierr = ISGetLocalSize(isa[i],&n);CHKERRQ(ierr);
2307     ierr = ISGetIndices(isa[i],&is);CHKERRQ(ierr);
2308 
2309     c->ncolumns[i] = n;
2310     if (n) {
2311       ierr = PetscMalloc(n*sizeof(PetscInt),&c->columns[i]);CHKERRQ(ierr);
2312       ierr = PetscLogObjectMemory((PetscObject)c,n*sizeof(PetscInt));CHKERRQ(ierr);
2313       ierr = PetscMemcpy(c->columns[i],is,n*sizeof(PetscInt));CHKERRQ(ierr);
2314     } else {
2315       c->columns[i] = 0;
2316     }
2317 
2318     if (ctype == IS_COLORING_GLOBAL) {
2319       /* Determine the total (parallel) number of columns of this color */
2320       ierr = MPI_Comm_size(PetscObjectComm((PetscObject)mat),&size);CHKERRQ(ierr);
2321       ierr = PetscMalloc2(size,PetscMPIInt,&ncolsonproc,size,PetscMPIInt,&disp);CHKERRQ(ierr);
2322 
2323       ierr  = PetscMPIIntCast(n,&nn);CHKERRQ(ierr);
2324       ierr  = MPI_Allgather(&nn,1,MPI_INT,ncolsonproc,1,MPI_INT,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
2325       nctot = 0; for (j=0; j<size; j++) nctot += ncolsonproc[j];
2326       if (!nctot) {
2327         ierr = PetscInfo(mat,"Coloring of matrix has some unneeded colors with no corresponding rows\n");CHKERRQ(ierr);
2328       }
2329 
2330       disp[0] = 0;
2331       for (j=1; j<size; j++) {
2332         disp[j] = disp[j-1] + ncolsonproc[j-1];
2333       }
2334 
2335       /* Get complete list of columns for color on each processor */
2336       ierr = PetscMalloc((nctot+1)*sizeof(PetscInt),&cols);CHKERRQ(ierr);
2337       ierr = MPI_Allgatherv((void*)is,n,MPIU_INT,cols,ncolsonproc,disp,MPIU_INT,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
2338       ierr = PetscFree2(ncolsonproc,disp);CHKERRQ(ierr);
2339     } else if (ctype == IS_COLORING_GHOSTED) {
2340       /* Determine local number of columns of this color on this process, including ghost points */
2341       nctot = n;
2342       ierr  = PetscMalloc((nctot+1)*sizeof(PetscInt),&cols);CHKERRQ(ierr);
2343       ierr  = PetscMemcpy(cols,is,n*sizeof(PetscInt));CHKERRQ(ierr);
2344     } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not provided for this MatFDColoring type");
2345 
2346     /*
2347        Mark all rows affect by these columns
2348     */
2349     /* Temporary option to allow for debugging/testing */
2350     flg  = PETSC_FALSE;
2351     ierr = PetscOptionsGetBool(NULL,"-matfdcoloring_slow",&flg,NULL);CHKERRQ(ierr);
2352     if (!flg) { /*-----------------------------------------------------------------------------*/
2353       /* crude, fast version */
2354       ierr = PetscMemzero(rowhit,M*sizeof(PetscInt));CHKERRQ(ierr);
2355       /* loop over columns*/
2356       for (j=0; j<nctot; j++) {
2357         if (ctype == IS_COLORING_GHOSTED) {
2358           col = ltog[cols[j]];
2359         } else {
2360           col = cols[j];
2361         }
2362         if (col >= cstart && col < cend) {
2363           /* column is in diagonal block of matrix */
2364           rows = A_cj + A_ci[col-cstart];
2365           m    = A_ci[col-cstart+1] - A_ci[col-cstart];
2366         } else {
2367 #if defined(PETSC_USE_CTABLE)
2368           ierr = PetscTableFind(baij->colmap,col+1,&colb);CHKERRQ(ierr);
2369           colb--;
2370 #else
2371           colb = baij->colmap[col] - 1;
2372 #endif
2373           if (colb == -1) {
2374             m = 0;
2375           } else {
2376             colb = colb/bs;
2377             rows = B_cj + B_ci[colb];
2378             m    = B_ci[colb+1] - B_ci[colb];
2379           }
2380         }
2381         /* loop over columns marking them in rowhit */
2382         for (k=0; k<m; k++) {
2383           rowhit[*rows++] = col + 1;
2384         }
2385       }
2386 
2387       /* count the number of hits */
2388       nrows = 0;
2389       for (j=0; j<M; j++) {
2390         if (rowhit[j]) nrows++;
2391       }
2392       c->nrows[i] = nrows;
2393       ierr        = PetscMalloc((nrows+1)*sizeof(PetscInt),&c->rows[i]);CHKERRQ(ierr);
2394       ierr        = PetscMalloc((nrows+1)*sizeof(PetscInt),&c->columnsforrow[i]);CHKERRQ(ierr);
2395       ierr        = PetscLogObjectMemory((PetscObject)c,2*(nrows+1)*sizeof(PetscInt));CHKERRQ(ierr);
2396       nrows       = 0;
2397       for (j=0; j<M; j++) {
2398         if (rowhit[j]) {
2399           c->rows[i][nrows]          = j;
2400           c->columnsforrow[i][nrows] = rowhit[j] - 1;
2401           nrows++;
2402         }
2403       }
2404     } else { /*-------------------------------------------------------------------------------*/
2405       /* slow version, using rowhit as a linked list */
2406       PetscInt currentcol,fm,mfm;
2407       rowhit[M] = M;
2408       nrows     = 0;
2409       /* loop over columns*/
2410       for (j=0; j<nctot; j++) {
2411         if (ctype == IS_COLORING_GHOSTED) {
2412           col = ltog[cols[j]];
2413         } else {
2414           col = cols[j];
2415         }
2416         if (col >= cstart && col < cend) {
2417           /* column is in diagonal block of matrix */
2418           rows = A_cj + A_ci[col-cstart];
2419           m    = A_ci[col-cstart+1] - A_ci[col-cstart];
2420         } else {
2421 #if defined(PETSC_USE_CTABLE)
2422           ierr = PetscTableFind(baij->colmap,col+1,&colb);CHKERRQ(ierr);
2423           colb--;
2424 #else
2425           colb = baij->colmap[col] - 1;
2426 #endif
2427           if (colb == -1) {
2428             m = 0;
2429           } else {
2430             colb = colb/bs;
2431             rows = B_cj + B_ci[colb];
2432             m    = B_ci[colb+1] - B_ci[colb];
2433           }
2434         }
2435 
2436         /* loop over columns marking them in rowhit */
2437         fm = M;    /* fm points to first entry in linked list */
2438         for (k=0; k<m; k++) {
2439           currentcol = *rows++;
2440           /* is it already in the list? */
2441           do {
2442             mfm = fm;
2443             fm  = rowhit[fm];
2444           } while (fm < currentcol);
2445           /* not in list so add it */
2446           if (fm != currentcol) {
2447             nrows++;
2448             columnsforrow[currentcol] = col;
2449             /* next three lines insert new entry into linked list */
2450             rowhit[mfm]        = currentcol;
2451             rowhit[currentcol] = fm;
2452             fm                 = currentcol;
2453             /* fm points to present position in list since we know the columns are sorted */
2454           } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Invalid coloring of matrix detected");
2455         }
2456       }
2457       c->nrows[i] = nrows;
2458       ierr        = PetscMalloc((nrows+1)*sizeof(PetscInt),&c->rows[i]);CHKERRQ(ierr);
2459       ierr        = PetscMalloc((nrows+1)*sizeof(PetscInt),&c->columnsforrow[i]);CHKERRQ(ierr);
2460       ierr        = PetscLogObjectMemory((PetscObject)c,(nrows+1)*sizeof(PetscInt));CHKERRQ(ierr);
2461       /* now store the linked list of rows into c->rows[i] */
2462       nrows = 0;
2463       fm    = rowhit[M];
2464       do {
2465         c->rows[i][nrows]            = fm;
2466         c->columnsforrow[i][nrows++] = columnsforrow[fm];
2467         fm                           = rowhit[fm];
2468       } while (fm < M);
2469     } /* ---------------------------------------------------------------------------------------*/
2470     ierr = PetscFree(cols);CHKERRQ(ierr);
2471   }
2472 
2473   /* Optimize by adding the vscale, and scaleforrow[][] fields */
2474   /*
2475        vscale will contain the "diagonal" on processor scalings followed by the off processor
2476   */
2477   if (ctype == IS_COLORING_GLOBAL) {
2478     PetscInt *garray;
2479     ierr = PetscMalloc(baij->B->cmap->n*sizeof(PetscInt),&garray);CHKERRQ(ierr);
2480     for (i=0; i<baij->B->cmap->n/bs; i++) {
2481       for (j=0; j<bs; j++) {
2482         garray[i*bs+j] = bs*baij->garray[i]+j;
2483       }
2484     }
2485     ierr = VecCreateGhost(PetscObjectComm((PetscObject)mat),baij->A->rmap->n,PETSC_DETERMINE,baij->B->cmap->n,garray,&c->vscale);CHKERRQ(ierr);
2486     ierr = PetscFree(garray);CHKERRQ(ierr);
2487     ierr = PetscMalloc(c->ncolors*sizeof(PetscInt*),&c->vscaleforrow);CHKERRQ(ierr);
2488     for (k=0; k<c->ncolors; k++) {
2489       ierr = PetscMalloc((c->nrows[k]+1)*sizeof(PetscInt),&c->vscaleforrow[k]);CHKERRQ(ierr);
2490       for (l=0; l<c->nrows[k]; l++) {
2491         col = c->columnsforrow[k][l];
2492         if (col >= cstart && col < cend) {
2493           /* column is in diagonal block of matrix */
2494           colb = col - cstart;
2495         } else {
2496           /* column  is in "off-processor" part */
2497 #if defined(PETSC_USE_CTABLE)
2498           ierr = PetscTableFind(baij->colmap,col+1,&colb);CHKERRQ(ierr);
2499           colb--;
2500 #else
2501           colb = baij->colmap[col] - 1;
2502 #endif
2503           colb  = colb/bs;
2504           colb += cend - cstart;
2505         }
2506         c->vscaleforrow[k][l] = colb;
2507       }
2508     }
2509   } else if (ctype == IS_COLORING_GHOSTED) {
2510     /* Get gtol mapping */
2511     PetscInt N = mat->cmap->N,nlocal,*gtol;
2512     ierr = PetscMalloc((N+1)*sizeof(PetscInt),&gtol);CHKERRQ(ierr);
2513     for (i=0; i<N; i++) gtol[i] = -1;
2514     ierr = ISLocalToGlobalMappingGetSize(map,&nlocal);CHKERRQ(ierr);
2515     for (i=0; i<nlocal; i++) gtol[ltog[i]] = i;
2516 
2517     c->vscale = 0; /* will be created in MatFDColoringApply() */
2518     ierr      = PetscMalloc(c->ncolors*sizeof(PetscInt*),&c->vscaleforrow);CHKERRQ(ierr);
2519     for (k=0; k<c->ncolors; k++) {
2520       ierr = PetscMalloc((c->nrows[k]+1)*sizeof(PetscInt),&c->vscaleforrow[k]);CHKERRQ(ierr);
2521       for (l=0; l<c->nrows[k]; l++) {
2522         col = c->columnsforrow[k][l];      /* global column index */
2523 
2524         c->vscaleforrow[k][l] = gtol[col]; /* local column index */
2525       }
2526     }
2527     ierr = PetscFree(gtol);CHKERRQ(ierr);
2528   }
2529   ierr = ISColoringRestoreIS(iscoloring,&isa);CHKERRQ(ierr);
2530 
2531   ierr = PetscFree(rowhit);CHKERRQ(ierr);
2532   ierr = PetscFree(columnsforrow);CHKERRQ(ierr);
2533   ierr = MatRestoreColumnIJ(baij->A,0,PETSC_FALSE,PETSC_FALSE,&ncols,&A_ci,&A_cj,&done);CHKERRQ(ierr);
2534   ierr = MatRestoreColumnIJ(baij->B,0,PETSC_FALSE,PETSC_FALSE,&ncols,&B_ci,&B_cj,&done);CHKERRQ(ierr);
2535   if (map) {ierr = ISLocalToGlobalMappingRestoreIndices(map,&ltog);CHKERRQ(ierr);}
2536   PetscFunctionReturn(0);
2537 }
2538 
2539 #undef __FUNCT__
2540 #define __FUNCT__ "MatGetSeqNonzeroStructure_MPIBAIJ"
2541 PetscErrorCode MatGetSeqNonzeroStructure_MPIBAIJ(Mat A,Mat *newmat)
2542 {
2543   Mat            B;
2544   Mat_MPIBAIJ    *a  = (Mat_MPIBAIJ*)A->data;
2545   Mat_SeqBAIJ    *ad = (Mat_SeqBAIJ*)a->A->data,*bd = (Mat_SeqBAIJ*)a->B->data;
2546   Mat_SeqAIJ     *b;
2547   PetscErrorCode ierr;
2548   PetscMPIInt    size,rank,*recvcounts = 0,*displs = 0;
2549   PetscInt       sendcount,i,*rstarts = A->rmap->range,n,cnt,j,bs = A->rmap->bs;
2550   PetscInt       m,*garray = a->garray,*lens,*jsendbuf,*a_jsendbuf,*b_jsendbuf;
2551 
2552   PetscFunctionBegin;
2553   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&size);CHKERRQ(ierr);
2554   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A),&rank);CHKERRQ(ierr);
2555 
2556   /* ----------------------------------------------------------------
2557      Tell every processor the number of nonzeros per row
2558   */
2559   ierr = PetscMalloc((A->rmap->N/bs)*sizeof(PetscInt),&lens);CHKERRQ(ierr);
2560   for (i=A->rmap->rstart/bs; i<A->rmap->rend/bs; i++) {
2561     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];
2562   }
2563   sendcount = A->rmap->rend/bs - A->rmap->rstart/bs;
2564   ierr      = PetscMalloc(2*size*sizeof(PetscMPIInt),&recvcounts);CHKERRQ(ierr);
2565   displs    = recvcounts + size;
2566   for (i=0; i<size; i++) {
2567     recvcounts[i] = A->rmap->range[i+1]/bs - A->rmap->range[i]/bs;
2568     displs[i]     = A->rmap->range[i]/bs;
2569   }
2570 #if defined(PETSC_HAVE_MPI_IN_PLACE)
2571   ierr = MPI_Allgatherv(MPI_IN_PLACE,0,MPI_DATATYPE_NULL,lens,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2572 #else
2573   ierr = MPI_Allgatherv(lens+A->rmap->rstart/bs,sendcount,MPIU_INT,lens,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2574 #endif
2575   /* ---------------------------------------------------------------
2576      Create the sequential matrix of the same type as the local block diagonal
2577   */
2578   ierr = MatCreate(PETSC_COMM_SELF,&B);CHKERRQ(ierr);
2579   ierr = MatSetSizes(B,A->rmap->N/bs,A->cmap->N/bs,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2580   ierr = MatSetType(B,MATSEQAIJ);CHKERRQ(ierr);
2581   ierr = MatSeqAIJSetPreallocation(B,0,lens);CHKERRQ(ierr);
2582   b    = (Mat_SeqAIJ*)B->data;
2583 
2584   /*--------------------------------------------------------------------
2585     Copy my part of matrix column indices over
2586   */
2587   sendcount  = ad->nz + bd->nz;
2588   jsendbuf   = b->j + b->i[rstarts[rank]/bs];
2589   a_jsendbuf = ad->j;
2590   b_jsendbuf = bd->j;
2591   n          = A->rmap->rend/bs - A->rmap->rstart/bs;
2592   cnt        = 0;
2593   for (i=0; i<n; i++) {
2594 
2595     /* put in lower diagonal portion */
2596     m = bd->i[i+1] - bd->i[i];
2597     while (m > 0) {
2598       /* is it above diagonal (in bd (compressed) numbering) */
2599       if (garray[*b_jsendbuf] > A->rmap->rstart/bs + i) break;
2600       jsendbuf[cnt++] = garray[*b_jsendbuf++];
2601       m--;
2602     }
2603 
2604     /* put in diagonal portion */
2605     for (j=ad->i[i]; j<ad->i[i+1]; j++) {
2606       jsendbuf[cnt++] = A->rmap->rstart/bs + *a_jsendbuf++;
2607     }
2608 
2609     /* put in upper diagonal portion */
2610     while (m-- > 0) {
2611       jsendbuf[cnt++] = garray[*b_jsendbuf++];
2612     }
2613   }
2614   if (cnt != sendcount) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Corrupted PETSc matrix: nz given %D actual nz %D",sendcount,cnt);
2615 
2616   /*--------------------------------------------------------------------
2617     Gather all column indices to all processors
2618   */
2619   for (i=0; i<size; i++) {
2620     recvcounts[i] = 0;
2621     for (j=A->rmap->range[i]/bs; j<A->rmap->range[i+1]/bs; j++) {
2622       recvcounts[i] += lens[j];
2623     }
2624   }
2625   displs[0] = 0;
2626   for (i=1; i<size; i++) {
2627     displs[i] = displs[i-1] + recvcounts[i-1];
2628   }
2629 #if defined(PETSC_HAVE_MPI_IN_PLACE)
2630   ierr = MPI_Allgatherv(MPI_IN_PLACE,0,MPI_DATATYPE_NULL,b->j,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2631 #else
2632   ierr = MPI_Allgatherv(jsendbuf,sendcount,MPIU_INT,b->j,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2633 #endif
2634   /*--------------------------------------------------------------------
2635     Assemble the matrix into useable form (note numerical values not yet set)
2636   */
2637   /* set the b->ilen (length of each row) values */
2638   ierr = PetscMemcpy(b->ilen,lens,(A->rmap->N/bs)*sizeof(PetscInt));CHKERRQ(ierr);
2639   /* set the b->i indices */
2640   b->i[0] = 0;
2641   for (i=1; i<=A->rmap->N/bs; i++) {
2642     b->i[i] = b->i[i-1] + lens[i-1];
2643   }
2644   ierr = PetscFree(lens);CHKERRQ(ierr);
2645   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2646   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2647   ierr = PetscFree(recvcounts);CHKERRQ(ierr);
2648 
2649   if (A->symmetric) {
2650     ierr = MatSetOption(B,MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
2651   } else if (A->hermitian) {
2652     ierr = MatSetOption(B,MAT_HERMITIAN,PETSC_TRUE);CHKERRQ(ierr);
2653   } else if (A->structurally_symmetric) {
2654     ierr = MatSetOption(B,MAT_STRUCTURALLY_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
2655   }
2656   *newmat = B;
2657   PetscFunctionReturn(0);
2658 }
2659 
2660 #undef __FUNCT__
2661 #define __FUNCT__ "MatSOR_MPIBAIJ"
2662 PetscErrorCode MatSOR_MPIBAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2663 {
2664   Mat_MPIBAIJ    *mat = (Mat_MPIBAIJ*)matin->data;
2665   PetscErrorCode ierr;
2666   Vec            bb1 = 0;
2667 
2668   PetscFunctionBegin;
2669   if (flag == SOR_APPLY_UPPER) {
2670     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2671     PetscFunctionReturn(0);
2672   }
2673 
2674   if (its > 1 || ~flag & SOR_ZERO_INITIAL_GUESS) {
2675     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2676   }
2677 
2678   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
2679     if (flag & SOR_ZERO_INITIAL_GUESS) {
2680       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2681       its--;
2682     }
2683 
2684     while (its--) {
2685       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2686       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2687 
2688       /* update rhs: bb1 = bb - B*x */
2689       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2690       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);CHKERRQ(ierr);
2691 
2692       /* local sweep */
2693       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,1,xx);CHKERRQ(ierr);
2694     }
2695   } else if (flag & SOR_LOCAL_FORWARD_SWEEP) {
2696     if (flag & SOR_ZERO_INITIAL_GUESS) {
2697       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2698       its--;
2699     }
2700     while (its--) {
2701       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2702       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2703 
2704       /* update rhs: bb1 = bb - B*x */
2705       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2706       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);CHKERRQ(ierr);
2707 
2708       /* local sweep */
2709       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_FORWARD_SWEEP,fshift,lits,1,xx);CHKERRQ(ierr);
2710     }
2711   } else if (flag & SOR_LOCAL_BACKWARD_SWEEP) {
2712     if (flag & SOR_ZERO_INITIAL_GUESS) {
2713       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2714       its--;
2715     }
2716     while (its--) {
2717       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2718       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2719 
2720       /* update rhs: bb1 = bb - B*x */
2721       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2722       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);CHKERRQ(ierr);
2723 
2724       /* local sweep */
2725       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_BACKWARD_SWEEP,fshift,lits,1,xx);CHKERRQ(ierr);
2726     }
2727   } else SETERRQ(PetscObjectComm((PetscObject)matin),PETSC_ERR_SUP,"Parallel version of SOR requested not supported");
2728 
2729   ierr = VecDestroy(&bb1);CHKERRQ(ierr);
2730   PetscFunctionReturn(0);
2731 }
2732 
2733 extern PetscErrorCode  MatFDColoringApply_BAIJ(Mat,MatFDColoring,Vec,MatStructure*,void*);
2734 
2735 #undef __FUNCT__
2736 #define __FUNCT__ "MatGetColumnNorms_MPIBAIJ"
2737 PetscErrorCode MatGetColumnNorms_MPIBAIJ(Mat A,NormType type,PetscReal *norms)
2738 {
2739   PetscErrorCode ierr;
2740   Mat_MPIBAIJ    *aij = (Mat_MPIBAIJ*)A->data;
2741   PetscInt       N,i,*garray = aij->garray;
2742   PetscInt       ib,jb,bs = A->rmap->bs;
2743   Mat_SeqBAIJ    *a_aij = (Mat_SeqBAIJ*) aij->A->data;
2744   MatScalar      *a_val = a_aij->a;
2745   Mat_SeqBAIJ    *b_aij = (Mat_SeqBAIJ*) aij->B->data;
2746   MatScalar      *b_val = b_aij->a;
2747   PetscReal      *work;
2748 
2749   PetscFunctionBegin;
2750   ierr = MatGetSize(A,NULL,&N);CHKERRQ(ierr);
2751   ierr = PetscMalloc(N*sizeof(PetscReal),&work);CHKERRQ(ierr);
2752   ierr = PetscMemzero(work,N*sizeof(PetscReal));CHKERRQ(ierr);
2753   if (type == NORM_2) {
2754     for (i=a_aij->i[0]; i<a_aij->i[aij->A->rmap->n/bs]; i++) {
2755       for (jb=0; jb<bs; jb++) {
2756         for (ib=0; ib<bs; ib++) {
2757           work[A->cmap->rstart + a_aij->j[i] * bs + jb] += PetscAbsScalar(*a_val * *a_val);
2758           a_val++;
2759         }
2760       }
2761     }
2762     for (i=b_aij->i[0]; i<b_aij->i[aij->B->rmap->n/bs]; i++) {
2763       for (jb=0; jb<bs; jb++) {
2764         for (ib=0; ib<bs; ib++) {
2765           work[garray[b_aij->j[i]] * bs + jb] += PetscAbsScalar(*b_val * *b_val);
2766           b_val++;
2767         }
2768       }
2769     }
2770   } else if (type == NORM_1) {
2771     for (i=a_aij->i[0]; i<a_aij->i[aij->A->rmap->n/bs]; i++) {
2772       for (jb=0; jb<bs; jb++) {
2773         for (ib=0; ib<bs; ib++) {
2774           work[A->cmap->rstart + a_aij->j[i] * bs + jb] += PetscAbsScalar(*a_val);
2775           a_val++;
2776         }
2777       }
2778     }
2779     for (i=b_aij->i[0]; i<b_aij->i[aij->B->rmap->n/bs]; i++) {
2780       for (jb=0; jb<bs; jb++) {
2781        for (ib=0; ib<bs; ib++) {
2782           work[garray[b_aij->j[i]] * bs + jb] += PetscAbsScalar(*b_val);
2783           b_val++;
2784         }
2785       }
2786     }
2787   } else if (type == NORM_INFINITY) {
2788     for (i=a_aij->i[0]; i<a_aij->i[aij->A->rmap->n/bs]; i++) {
2789       for (jb=0; jb<bs; jb++) {
2790         for (ib=0; ib<bs; ib++) {
2791           int col = A->cmap->rstart + a_aij->j[i] * bs + jb;
2792           work[col] = PetscMax(PetscAbsScalar(*a_val), work[col]);
2793           a_val++;
2794         }
2795       }
2796     }
2797     for (i=b_aij->i[0]; i<b_aij->i[aij->B->rmap->n/bs]; i++) {
2798       for (jb=0; jb<bs; jb++) {
2799         for (ib=0; ib<bs; ib++) {
2800           int col = garray[b_aij->j[i]] * bs + jb;
2801           work[col] = PetscMax(PetscAbsScalar(*b_val), work[col]);
2802           b_val++;
2803         }
2804       }
2805     }
2806   } else SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONG,"Unknown NormType");
2807   if (type == NORM_INFINITY) {
2808     ierr = MPI_Allreduce(work,norms,N,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2809   } else {
2810     ierr = MPI_Allreduce(work,norms,N,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2811   }
2812   ierr = PetscFree(work);CHKERRQ(ierr);
2813   if (type == NORM_2) {
2814     for (i=0; i<N; i++) norms[i] = PetscSqrtReal(norms[i]);
2815   }
2816   PetscFunctionReturn(0);
2817 }
2818 
2819 #undef __FUNCT__
2820 #define __FUNCT__ "MatInvertBlockDiagonal_MPIBAIJ"
2821 PetscErrorCode  MatInvertBlockDiagonal_MPIBAIJ(Mat A,const PetscScalar **values)
2822 {
2823   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*) A->data;
2824   PetscErrorCode ierr;
2825 
2826   PetscFunctionBegin;
2827   ierr = MatInvertBlockDiagonal(a->A,values);CHKERRQ(ierr);
2828   PetscFunctionReturn(0);
2829 }
2830 
2831 
2832 /* -------------------------------------------------------------------*/
2833 static struct _MatOps MatOps_Values = {MatSetValues_MPIBAIJ,
2834                                        MatGetRow_MPIBAIJ,
2835                                        MatRestoreRow_MPIBAIJ,
2836                                        MatMult_MPIBAIJ,
2837                                 /* 4*/ MatMultAdd_MPIBAIJ,
2838                                        MatMultTranspose_MPIBAIJ,
2839                                        MatMultTransposeAdd_MPIBAIJ,
2840                                        0,
2841                                        0,
2842                                        0,
2843                                 /*10*/ 0,
2844                                        0,
2845                                        0,
2846                                        MatSOR_MPIBAIJ,
2847                                        MatTranspose_MPIBAIJ,
2848                                 /*15*/ MatGetInfo_MPIBAIJ,
2849                                        MatEqual_MPIBAIJ,
2850                                        MatGetDiagonal_MPIBAIJ,
2851                                        MatDiagonalScale_MPIBAIJ,
2852                                        MatNorm_MPIBAIJ,
2853                                 /*20*/ MatAssemblyBegin_MPIBAIJ,
2854                                        MatAssemblyEnd_MPIBAIJ,
2855                                        MatSetOption_MPIBAIJ,
2856                                        MatZeroEntries_MPIBAIJ,
2857                                 /*24*/ MatZeroRows_MPIBAIJ,
2858                                        0,
2859                                        0,
2860                                        0,
2861                                        0,
2862                                 /*29*/ MatSetUp_MPIBAIJ,
2863                                        0,
2864                                        0,
2865                                        0,
2866                                        0,
2867                                 /*34*/ MatDuplicate_MPIBAIJ,
2868                                        0,
2869                                        0,
2870                                        0,
2871                                        0,
2872                                 /*39*/ MatAXPY_MPIBAIJ,
2873                                        MatGetSubMatrices_MPIBAIJ,
2874                                        MatIncreaseOverlap_MPIBAIJ,
2875                                        MatGetValues_MPIBAIJ,
2876                                        MatCopy_MPIBAIJ,
2877                                 /*44*/ 0,
2878                                        MatScale_MPIBAIJ,
2879                                        0,
2880                                        0,
2881                                        0,
2882                                 /*49*/ 0,
2883                                        0,
2884                                        0,
2885                                        0,
2886                                        0,
2887                                 /*54*/ MatFDColoringCreate_MPIBAIJ,
2888                                        0,
2889                                        MatSetUnfactored_MPIBAIJ,
2890                                        MatPermute_MPIBAIJ,
2891                                        MatSetValuesBlocked_MPIBAIJ,
2892                                 /*59*/ MatGetSubMatrix_MPIBAIJ,
2893                                        MatDestroy_MPIBAIJ,
2894                                        MatView_MPIBAIJ,
2895                                        0,
2896                                        0,
2897                                 /*64*/ 0,
2898                                        0,
2899                                        0,
2900                                        0,
2901                                        0,
2902                                 /*69*/ MatGetRowMaxAbs_MPIBAIJ,
2903                                        0,
2904                                        0,
2905                                        0,
2906                                        0,
2907                                 /*74*/ 0,
2908                                        MatFDColoringApply_BAIJ,
2909                                        0,
2910                                        0,
2911                                        0,
2912                                 /*79*/ 0,
2913                                        0,
2914                                        0,
2915                                        0,
2916                                        MatLoad_MPIBAIJ,
2917                                 /*84*/ 0,
2918                                        0,
2919                                        0,
2920                                        0,
2921                                        0,
2922                                 /*89*/ 0,
2923                                        0,
2924                                        0,
2925                                        0,
2926                                        0,
2927                                 /*94*/ 0,
2928                                        0,
2929                                        0,
2930                                        0,
2931                                        0,
2932                                 /*99*/ 0,
2933                                        0,
2934                                        0,
2935                                        0,
2936                                        0,
2937                                 /*104*/0,
2938                                        MatRealPart_MPIBAIJ,
2939                                        MatImaginaryPart_MPIBAIJ,
2940                                        0,
2941                                        0,
2942                                 /*109*/0,
2943                                        0,
2944                                        0,
2945                                        0,
2946                                        0,
2947                                 /*114*/MatGetSeqNonzeroStructure_MPIBAIJ,
2948                                        0,
2949                                        MatGetGhosts_MPIBAIJ,
2950                                        0,
2951                                        0,
2952                                 /*119*/0,
2953                                        0,
2954                                        0,
2955                                        0,
2956                                        MatGetMultiProcBlock_MPIBAIJ,
2957                                 /*124*/0,
2958                                        MatGetColumnNorms_MPIBAIJ,
2959                                        MatInvertBlockDiagonal_MPIBAIJ,
2960                                        0,
2961                                        0,
2962                                /*129*/ 0,
2963                                        0,
2964                                        0,
2965                                        0,
2966                                        0,
2967                                /*134*/ 0,
2968                                        0,
2969                                        0,
2970                                        0,
2971                                        0,
2972                                /*139*/ 0,
2973                                        0
2974 };
2975 
2976 #undef __FUNCT__
2977 #define __FUNCT__ "MatGetDiagonalBlock_MPIBAIJ"
2978 PetscErrorCode  MatGetDiagonalBlock_MPIBAIJ(Mat A,Mat *a)
2979 {
2980   PetscFunctionBegin;
2981   *a = ((Mat_MPIBAIJ*)A->data)->A;
2982   PetscFunctionReturn(0);
2983 }
2984 
2985 PETSC_EXTERN PetscErrorCode MatConvert_MPIBAIJ_MPISBAIJ(Mat, MatType,MatReuse,Mat*);
2986 
2987 #undef __FUNCT__
2988 #define __FUNCT__ "MatMPIBAIJSetPreallocationCSR_MPIBAIJ"
2989 PetscErrorCode MatMPIBAIJSetPreallocationCSR_MPIBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
2990 {
2991   PetscInt       m,rstart,cstart,cend;
2992   PetscInt       i,j,d,nz,nz_max=0,*d_nnz=0,*o_nnz=0;
2993   const PetscInt *JJ    =0;
2994   PetscScalar    *values=0;
2995   PetscErrorCode ierr;
2996 
2997   PetscFunctionBegin;
2998   ierr   = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
2999   ierr   = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
3000   ierr   = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3001   ierr   = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3002   ierr   = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
3003   m      = B->rmap->n/bs;
3004   rstart = B->rmap->rstart/bs;
3005   cstart = B->cmap->rstart/bs;
3006   cend   = B->cmap->rend/bs;
3007 
3008   if (ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"ii[0] must be 0 but it is %D",ii[0]);
3009   ierr = PetscMalloc2(m,PetscInt,&d_nnz,m,PetscInt,&o_nnz);CHKERRQ(ierr);
3010   for (i=0; i<m; i++) {
3011     nz = ii[i+1] - ii[i];
3012     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Local row %D has a negative number of columns %D",i,nz);
3013     nz_max = PetscMax(nz_max,nz);
3014     JJ     = jj + ii[i];
3015     for (j=0; j<nz; j++) {
3016       if (*JJ >= cstart) break;
3017       JJ++;
3018     }
3019     d = 0;
3020     for (; j<nz; j++) {
3021       if (*JJ++ >= cend) break;
3022       d++;
3023     }
3024     d_nnz[i] = d;
3025     o_nnz[i] = nz - d;
3026   }
3027   ierr = MatMPIBAIJSetPreallocation(B,bs,0,d_nnz,0,o_nnz);CHKERRQ(ierr);
3028   ierr = PetscFree2(d_nnz,o_nnz);CHKERRQ(ierr);
3029 
3030   values = (PetscScalar*)V;
3031   if (!values) {
3032     ierr = PetscMalloc(bs*bs*nz_max*sizeof(PetscScalar),&values);CHKERRQ(ierr);
3033     ierr = PetscMemzero(values,bs*bs*nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
3034   }
3035   for (i=0; i<m; i++) {
3036     PetscInt          row    = i + rstart;
3037     PetscInt          ncols  = ii[i+1] - ii[i];
3038     const PetscInt    *icols = jj + ii[i];
3039     const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
3040     ierr = MatSetValuesBlocked_MPIBAIJ(B,1,&row,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
3041   }
3042 
3043   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
3044   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3045   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3046   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3047   PetscFunctionReturn(0);
3048 }
3049 
3050 #undef __FUNCT__
3051 #define __FUNCT__ "MatMPIBAIJSetPreallocationCSR"
3052 /*@C
3053    MatMPIBAIJSetPreallocationCSR - Allocates memory for a sparse parallel matrix in BAIJ format
3054    (the default parallel PETSc format).
3055 
3056    Collective on MPI_Comm
3057 
3058    Input Parameters:
3059 +  A - the matrix
3060 .  bs - the block size
3061 .  i - the indices into j for the start of each local row (starts with zero)
3062 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
3063 -  v - optional values in the matrix
3064 
3065    Level: developer
3066 
3067 .keywords: matrix, aij, compressed row, sparse, parallel
3068 
3069 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIBAIJSetPreallocation(), MatCreateAIJ(), MPIAIJ
3070 @*/
3071 PetscErrorCode  MatMPIBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
3072 {
3073   PetscErrorCode ierr;
3074 
3075   PetscFunctionBegin;
3076   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3077   PetscValidType(B,1);
3078   PetscValidLogicalCollectiveInt(B,bs,2);
3079   ierr = PetscTryMethod(B,"MatMPIBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));CHKERRQ(ierr);
3080   PetscFunctionReturn(0);
3081 }
3082 
3083 #undef __FUNCT__
3084 #define __FUNCT__ "MatMPIBAIJSetPreallocation_MPIBAIJ"
3085 PetscErrorCode  MatMPIBAIJSetPreallocation_MPIBAIJ(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt *d_nnz,PetscInt o_nz,const PetscInt *o_nnz)
3086 {
3087   Mat_MPIBAIJ    *b;
3088   PetscErrorCode ierr;
3089   PetscInt       i;
3090 
3091   PetscFunctionBegin;
3092   ierr = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
3093   ierr = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
3094   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3095   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3096   ierr = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
3097 
3098   if (d_nnz) {
3099     for (i=0; i<B->rmap->n/bs; i++) {
3100       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]);
3101     }
3102   }
3103   if (o_nnz) {
3104     for (i=0; i<B->rmap->n/bs; i++) {
3105       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]);
3106     }
3107   }
3108 
3109   b      = (Mat_MPIBAIJ*)B->data;
3110   b->bs2 = bs*bs;
3111   b->mbs = B->rmap->n/bs;
3112   b->nbs = B->cmap->n/bs;
3113   b->Mbs = B->rmap->N/bs;
3114   b->Nbs = B->cmap->N/bs;
3115 
3116   for (i=0; i<=b->size; i++) {
3117     b->rangebs[i] = B->rmap->range[i]/bs;
3118   }
3119   b->rstartbs = B->rmap->rstart/bs;
3120   b->rendbs   = B->rmap->rend/bs;
3121   b->cstartbs = B->cmap->rstart/bs;
3122   b->cendbs   = B->cmap->rend/bs;
3123 
3124   if (!B->preallocated) {
3125     ierr = MatCreate(PETSC_COMM_SELF,&b->A);CHKERRQ(ierr);
3126     ierr = MatSetSizes(b->A,B->rmap->n,B->cmap->n,B->rmap->n,B->cmap->n);CHKERRQ(ierr);
3127     ierr = MatSetType(b->A,MATSEQBAIJ);CHKERRQ(ierr);
3128     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->A);CHKERRQ(ierr);
3129     ierr = MatCreate(PETSC_COMM_SELF,&b->B);CHKERRQ(ierr);
3130     ierr = MatSetSizes(b->B,B->rmap->n,B->cmap->N,B->rmap->n,B->cmap->N);CHKERRQ(ierr);
3131     ierr = MatSetType(b->B,MATSEQBAIJ);CHKERRQ(ierr);
3132     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->B);CHKERRQ(ierr);
3133     ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),bs,&B->bstash);CHKERRQ(ierr);
3134   }
3135 
3136   ierr = MatSeqBAIJSetPreallocation(b->A,bs,d_nz,d_nnz);CHKERRQ(ierr);
3137   ierr = MatSeqBAIJSetPreallocation(b->B,bs,o_nz,o_nnz);CHKERRQ(ierr);
3138   B->preallocated = PETSC_TRUE;
3139   PetscFunctionReturn(0);
3140 }
3141 
3142 extern PetscErrorCode  MatDiagonalScaleLocal_MPIBAIJ(Mat,Vec);
3143 extern PetscErrorCode  MatSetHashTableFactor_MPIBAIJ(Mat,PetscReal);
3144 
3145 #undef __FUNCT__
3146 #define __FUNCT__ "MatConvert_MPIBAIJ_MPIAdj"
3147 PETSC_EXTERN PetscErrorCode MatConvert_MPIBAIJ_MPIAdj(Mat B, MatType newtype,MatReuse reuse,Mat *adj)
3148 {
3149   Mat_MPIBAIJ    *b = (Mat_MPIBAIJ*)B->data;
3150   PetscErrorCode ierr;
3151   Mat_SeqBAIJ    *d  = (Mat_SeqBAIJ*) b->A->data,*o = (Mat_SeqBAIJ*) b->B->data;
3152   PetscInt       M   = B->rmap->n/B->rmap->bs,i,*ii,*jj,cnt,j,k,rstart = B->rmap->rstart/B->rmap->bs;
3153   const PetscInt *id = d->i, *jd = d->j, *io = o->i, *jo = o->j, *garray = b->garray;
3154 
3155   PetscFunctionBegin;
3156   ierr  = PetscMalloc((M+1)*sizeof(PetscInt),&ii);CHKERRQ(ierr);
3157   ii[0] = 0;
3158   for (i=0; i<M; i++) {
3159     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]);
3160     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]);
3161     ii[i+1] = ii[i] + id[i+1] - id[i] + io[i+1] - io[i];
3162     /* remove one from count of matrix has diagonal */
3163     for (j=id[i]; j<id[i+1]; j++) {
3164       if (jd[j] == i) {ii[i+1]--;break;}
3165     }
3166   }
3167   ierr = PetscMalloc(ii[M]*sizeof(PetscInt),&jj);CHKERRQ(ierr);
3168   cnt  = 0;
3169   for (i=0; i<M; i++) {
3170     for (j=io[i]; j<io[i+1]; j++) {
3171       if (garray[jo[j]] > rstart) break;
3172       jj[cnt++] = garray[jo[j]];
3173     }
3174     for (k=id[i]; k<id[i+1]; k++) {
3175       if (jd[k] != i) {
3176         jj[cnt++] = rstart + jd[k];
3177       }
3178     }
3179     for (; j<io[i+1]; j++) {
3180       jj[cnt++] = garray[jo[j]];
3181     }
3182   }
3183   ierr = MatCreateMPIAdj(PetscObjectComm((PetscObject)B),M,B->cmap->N/B->rmap->bs,ii,jj,NULL,adj);CHKERRQ(ierr);
3184   PetscFunctionReturn(0);
3185 }
3186 
3187 #include <../src/mat/impls/aij/mpi/mpiaij.h>
3188 
3189 PETSC_EXTERN PetscErrorCode MatConvert_SeqBAIJ_SeqAIJ(Mat,MatType,MatReuse,Mat*);
3190 
3191 #undef __FUNCT__
3192 #define __FUNCT__ "MatConvert_MPIBAIJ_MPIAIJ"
3193 PETSC_EXTERN PetscErrorCode MatConvert_MPIBAIJ_MPIAIJ(Mat A,MatType newtype,MatReuse reuse,Mat *newmat)
3194 {
3195   PetscErrorCode ierr;
3196   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
3197   Mat            B;
3198   Mat_MPIAIJ     *b;
3199 
3200   PetscFunctionBegin;
3201   if (!A->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Matrix must be assembled");
3202 
3203   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
3204   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
3205   ierr = MatSetType(B,MATMPIAIJ);CHKERRQ(ierr);
3206   ierr = MatSeqAIJSetPreallocation(B,0,NULL);CHKERRQ(ierr);
3207   ierr = MatMPIAIJSetPreallocation(B,0,NULL,0,NULL);CHKERRQ(ierr);
3208   b    = (Mat_MPIAIJ*) B->data;
3209 
3210   ierr = MatDestroy(&b->A);CHKERRQ(ierr);
3211   ierr = MatDestroy(&b->B);CHKERRQ(ierr);
3212   ierr = MatDisAssemble_MPIBAIJ(A);CHKERRQ(ierr);
3213   ierr = MatConvert_SeqBAIJ_SeqAIJ(a->A, MATSEQAIJ, MAT_INITIAL_MATRIX, &b->A);CHKERRQ(ierr);
3214   ierr = MatConvert_SeqBAIJ_SeqAIJ(a->B, MATSEQAIJ, MAT_INITIAL_MATRIX, &b->B);CHKERRQ(ierr);
3215   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3216   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3217   ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3218   ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3219   if (reuse == MAT_REUSE_MATRIX) {
3220     ierr = MatHeaderReplace(A,B);CHKERRQ(ierr);
3221   } else {
3222    *newmat = B;
3223   }
3224   PetscFunctionReturn(0);
3225 }
3226 
3227 #if defined(PETSC_HAVE_MUMPS)
3228 PETSC_EXTERN PetscErrorCode MatGetFactor_baij_mumps(Mat,MatFactorType,Mat*);
3229 #endif
3230 
3231 /*MC
3232    MATMPIBAIJ - MATMPIBAIJ = "mpibaij" - A matrix type to be used for distributed block sparse matrices.
3233 
3234    Options Database Keys:
3235 + -mat_type mpibaij - sets the matrix type to "mpibaij" during a call to MatSetFromOptions()
3236 . -mat_block_size <bs> - set the blocksize used to store the matrix
3237 - -mat_use_hash_table <fact>
3238 
3239   Level: beginner
3240 
3241 .seealso: MatCreateMPIBAIJ
3242 M*/
3243 
3244 PETSC_EXTERN PetscErrorCode MatConvert_MPIBAIJ_MPIBSTRM(Mat,MatType,MatReuse,Mat*);
3245 
3246 #undef __FUNCT__
3247 #define __FUNCT__ "MatCreate_MPIBAIJ"
3248 PETSC_EXTERN PetscErrorCode MatCreate_MPIBAIJ(Mat B)
3249 {
3250   Mat_MPIBAIJ    *b;
3251   PetscErrorCode ierr;
3252   PetscBool      flg;
3253 
3254   PetscFunctionBegin;
3255   ierr    = PetscNewLog(B,Mat_MPIBAIJ,&b);CHKERRQ(ierr);
3256   B->data = (void*)b;
3257 
3258   ierr         = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
3259   B->assembled = PETSC_FALSE;
3260 
3261   B->insertmode = NOT_SET_VALUES;
3262   ierr          = MPI_Comm_rank(PetscObjectComm((PetscObject)B),&b->rank);CHKERRQ(ierr);
3263   ierr          = MPI_Comm_size(PetscObjectComm((PetscObject)B),&b->size);CHKERRQ(ierr);
3264 
3265   /* build local table of row and column ownerships */
3266   ierr = PetscMalloc((b->size+1)*sizeof(PetscInt),&b->rangebs);CHKERRQ(ierr);
3267 
3268   /* build cache for off array entries formed */
3269   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),1,&B->stash);CHKERRQ(ierr);
3270 
3271   b->donotstash  = PETSC_FALSE;
3272   b->colmap      = NULL;
3273   b->garray      = NULL;
3274   b->roworiented = PETSC_TRUE;
3275 
3276   /* stuff used in block assembly */
3277   b->barray = 0;
3278 
3279   /* stuff used for matrix vector multiply */
3280   b->lvec  = 0;
3281   b->Mvctx = 0;
3282 
3283   /* stuff for MatGetRow() */
3284   b->rowindices   = 0;
3285   b->rowvalues    = 0;
3286   b->getrowactive = PETSC_FALSE;
3287 
3288   /* hash table stuff */
3289   b->ht           = 0;
3290   b->hd           = 0;
3291   b->ht_size      = 0;
3292   b->ht_flag      = PETSC_FALSE;
3293   b->ht_fact      = 0;
3294   b->ht_total_ct  = 0;
3295   b->ht_insert_ct = 0;
3296 
3297   /* stuff for MatGetSubMatrices_MPIBAIJ_local() */
3298   b->ijonly = PETSC_FALSE;
3299 
3300   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)B),NULL,"Options for loading MPIBAIJ matrix 1","Mat");CHKERRQ(ierr);
3301   ierr = PetscOptionsBool("-mat_use_hash_table","Use hash table to save memory in constructing matrix","MatSetOption",PETSC_FALSE,&flg,NULL);CHKERRQ(ierr);
3302   if (flg) {
3303     PetscReal fact = 1.39;
3304     ierr = MatSetOption(B,MAT_USE_HASH_TABLE,PETSC_TRUE);CHKERRQ(ierr);
3305     ierr = PetscOptionsReal("-mat_use_hash_table","Use hash table factor","MatMPIBAIJSetHashTableFactor",fact,&fact,NULL);CHKERRQ(ierr);
3306     if (fact <= 1.0) fact = 1.39;
3307     ierr = MatMPIBAIJSetHashTableFactor(B,fact);CHKERRQ(ierr);
3308     ierr = PetscInfo1(B,"Hash table Factor used %5.2f\n",fact);CHKERRQ(ierr);
3309   }
3310   ierr = PetscOptionsEnd();CHKERRQ(ierr);
3311 
3312 #if defined(PETSC_HAVE_MUMPS)
3313   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_mumps_C",MatGetFactor_baij_mumps);CHKERRQ(ierr);
3314 #endif
3315   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpiadj_C",MatConvert_MPIBAIJ_MPIAdj);CHKERRQ(ierr);
3316   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpiaij_C",MatConvert_MPIBAIJ_MPIAIJ);CHKERRQ(ierr);
3317   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpisbaij_C",MatConvert_MPIBAIJ_MPISBAIJ);CHKERRQ(ierr);
3318   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_MPIBAIJ);CHKERRQ(ierr);
3319   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_MPIBAIJ);CHKERRQ(ierr);
3320   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetDiagonalBlock_C",MatGetDiagonalBlock_MPIBAIJ);CHKERRQ(ierr);
3321   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPIBAIJSetPreallocation_C",MatMPIBAIJSetPreallocation_MPIBAIJ);CHKERRQ(ierr);
3322   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPIBAIJSetPreallocationCSR_C",MatMPIBAIJSetPreallocationCSR_MPIBAIJ);CHKERRQ(ierr);
3323   ierr = PetscObjectComposeFunction((PetscObject)B,"MatDiagonalScaleLocal_C",MatDiagonalScaleLocal_MPIBAIJ);CHKERRQ(ierr);
3324   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSetHashTableFactor_C",MatSetHashTableFactor_MPIBAIJ);CHKERRQ(ierr);
3325   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpibstrm_C",MatConvert_MPIBAIJ_MPIBSTRM);CHKERRQ(ierr);
3326   ierr = PetscObjectChangeTypeName((PetscObject)B,MATMPIBAIJ);CHKERRQ(ierr);
3327   PetscFunctionReturn(0);
3328 }
3329 
3330 /*MC
3331    MATBAIJ - MATBAIJ = "baij" - A matrix type to be used for block sparse matrices.
3332 
3333    This matrix type is identical to MATSEQBAIJ when constructed with a single process communicator,
3334    and MATMPIBAIJ otherwise.
3335 
3336    Options Database Keys:
3337 . -mat_type baij - sets the matrix type to "baij" during a call to MatSetFromOptions()
3338 
3339   Level: beginner
3340 
3341 .seealso: MatCreateBAIJ(),MATSEQBAIJ,MATMPIBAIJ, MatMPIBAIJSetPreallocation(), MatMPIBAIJSetPreallocationCSR()
3342 M*/
3343 
3344 #undef __FUNCT__
3345 #define __FUNCT__ "MatMPIBAIJSetPreallocation"
3346 /*@C
3347    MatMPIBAIJSetPreallocation - Allocates memory for a sparse parallel matrix in block AIJ format
3348    (block compressed row).  For good matrix assembly performance
3349    the user should preallocate the matrix storage by setting the parameters
3350    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
3351    performance can be increased by more than a factor of 50.
3352 
3353    Collective on Mat
3354 
3355    Input Parameters:
3356 +  A - the matrix
3357 .  bs   - size of block
3358 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
3359            submatrix  (same for all local rows)
3360 .  d_nnz - array containing the number of block nonzeros in the various block rows
3361            of the in diagonal portion of the local (possibly different for each block
3362            row) or NULL.  If you plan to factor the matrix you must leave room for the diagonal entry and
3363            set it even if it is zero.
3364 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
3365            submatrix (same for all local rows).
3366 -  o_nnz - array containing the number of nonzeros in the various block rows of the
3367            off-diagonal portion of the local submatrix (possibly different for
3368            each block row) or NULL.
3369 
3370    If the *_nnz parameter is given then the *_nz parameter is ignored
3371 
3372    Options Database Keys:
3373 +   -mat_block_size - size of the blocks to use
3374 -   -mat_use_hash_table <fact>
3375 
3376    Notes:
3377    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
3378    than it must be used on all processors that share the object for that argument.
3379 
3380    Storage Information:
3381    For a square global matrix we define each processor's diagonal portion
3382    to be its local rows and the corresponding columns (a square submatrix);
3383    each processor's off-diagonal portion encompasses the remainder of the
3384    local matrix (a rectangular submatrix).
3385 
3386    The user can specify preallocated storage for the diagonal part of
3387    the local submatrix with either d_nz or d_nnz (not both).  Set
3388    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
3389    memory allocation.  Likewise, specify preallocated storage for the
3390    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
3391 
3392    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
3393    the figure below we depict these three local rows and all columns (0-11).
3394 
3395 .vb
3396            0 1 2 3 4 5 6 7 8 9 10 11
3397           --------------------------
3398    row 3  |o o o d d d o o o o  o  o
3399    row 4  |o o o d d d o o o o  o  o
3400    row 5  |o o o d d d o o o o  o  o
3401           --------------------------
3402 .ve
3403 
3404    Thus, any entries in the d locations are stored in the d (diagonal)
3405    submatrix, and any entries in the o locations are stored in the
3406    o (off-diagonal) submatrix.  Note that the d and the o submatrices are
3407    stored simply in the MATSEQBAIJ format for compressed row storage.
3408 
3409    Now d_nz should indicate the number of block nonzeros per row in the d matrix,
3410    and o_nz should indicate the number of block nonzeros per row in the o matrix.
3411    In general, for PDE problems in which most nonzeros are near the diagonal,
3412    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
3413    or you will get TERRIBLE performance; see the users' manual chapter on
3414    matrices.
3415 
3416    You can call MatGetInfo() to get information on how effective the preallocation was;
3417    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3418    You can also run with the option -info and look for messages with the string
3419    malloc in them to see if additional memory allocation was needed.
3420 
3421    Level: intermediate
3422 
3423 .keywords: matrix, block, aij, compressed row, sparse, parallel
3424 
3425 .seealso: MatCreate(), MatCreateSeqBAIJ(), MatSetValues(), MatCreateBAIJ(), MatMPIBAIJSetPreallocationCSR(), PetscSplitOwnership()
3426 @*/
3427 PetscErrorCode  MatMPIBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
3428 {
3429   PetscErrorCode ierr;
3430 
3431   PetscFunctionBegin;
3432   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3433   PetscValidType(B,1);
3434   PetscValidLogicalCollectiveInt(B,bs,2);
3435   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);
3436   PetscFunctionReturn(0);
3437 }
3438 
3439 #undef __FUNCT__
3440 #define __FUNCT__ "MatCreateBAIJ"
3441 /*@C
3442    MatCreateBAIJ - Creates a sparse parallel matrix in block AIJ format
3443    (block compressed row).  For good matrix assembly performance
3444    the user should preallocate the matrix storage by setting the parameters
3445    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
3446    performance can be increased by more than a factor of 50.
3447 
3448    Collective on MPI_Comm
3449 
3450    Input Parameters:
3451 +  comm - MPI communicator
3452 .  bs   - size of blockk
3453 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
3454            This value should be the same as the local size used in creating the
3455            y vector for the matrix-vector product y = Ax.
3456 .  n - number of local columns (or PETSC_DECIDE to have calculated if N is given)
3457            This value should be the same as the local size used in creating the
3458            x vector for the matrix-vector product y = Ax.
3459 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
3460 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
3461 .  d_nz  - number of nonzero blocks per block row in diagonal portion of local
3462            submatrix  (same for all local rows)
3463 .  d_nnz - array containing the number of nonzero blocks in the various block rows
3464            of the in diagonal portion of the local (possibly different for each block
3465            row) or NULL.  If you plan to factor the matrix you must leave room for the diagonal entry
3466            and set it even if it is zero.
3467 .  o_nz  - number of nonzero blocks per block row in the off-diagonal portion of local
3468            submatrix (same for all local rows).
3469 -  o_nnz - array containing the number of nonzero blocks in the various block rows of the
3470            off-diagonal portion of the local submatrix (possibly different for
3471            each block row) or NULL.
3472 
3473    Output Parameter:
3474 .  A - the matrix
3475 
3476    Options Database Keys:
3477 +   -mat_block_size - size of the blocks to use
3478 -   -mat_use_hash_table <fact>
3479 
3480    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3481    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3482    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3483 
3484    Notes:
3485    If the *_nnz parameter is given then the *_nz parameter is ignored
3486 
3487    A nonzero block is any block that as 1 or more nonzeros in it
3488 
3489    The user MUST specify either the local or global matrix dimensions
3490    (possibly both).
3491 
3492    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
3493    than it must be used on all processors that share the object for that argument.
3494 
3495    Storage Information:
3496    For a square global matrix we define each processor's diagonal portion
3497    to be its local rows and the corresponding columns (a square submatrix);
3498    each processor's off-diagonal portion encompasses the remainder of the
3499    local matrix (a rectangular submatrix).
3500 
3501    The user can specify preallocated storage for the diagonal part of
3502    the local submatrix with either d_nz or d_nnz (not both).  Set
3503    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
3504    memory allocation.  Likewise, specify preallocated storage for the
3505    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
3506 
3507    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
3508    the figure below we depict these three local rows and all columns (0-11).
3509 
3510 .vb
3511            0 1 2 3 4 5 6 7 8 9 10 11
3512           --------------------------
3513    row 3  |o o o d d d o o o o  o  o
3514    row 4  |o o o d d d o o o o  o  o
3515    row 5  |o o o d d d o o o o  o  o
3516           --------------------------
3517 .ve
3518 
3519    Thus, any entries in the d locations are stored in the d (diagonal)
3520    submatrix, and any entries in the o locations are stored in the
3521    o (off-diagonal) submatrix.  Note that the d and the o submatrices are
3522    stored simply in the MATSEQBAIJ format for compressed row storage.
3523 
3524    Now d_nz should indicate the number of block nonzeros per row in the d matrix,
3525    and o_nz should indicate the number of block nonzeros per row in the o matrix.
3526    In general, for PDE problems in which most nonzeros are near the diagonal,
3527    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
3528    or you will get TERRIBLE performance; see the users' manual chapter on
3529    matrices.
3530 
3531    Level: intermediate
3532 
3533 .keywords: matrix, block, aij, compressed row, sparse, parallel
3534 
3535 .seealso: MatCreate(), MatCreateSeqBAIJ(), MatSetValues(), MatCreateBAIJ(), MatMPIBAIJSetPreallocation(), MatMPIBAIJSetPreallocationCSR()
3536 @*/
3537 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)
3538 {
3539   PetscErrorCode ierr;
3540   PetscMPIInt    size;
3541 
3542   PetscFunctionBegin;
3543   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3544   ierr = MatSetSizes(*A,m,n,M,N);CHKERRQ(ierr);
3545   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3546   if (size > 1) {
3547     ierr = MatSetType(*A,MATMPIBAIJ);CHKERRQ(ierr);
3548     ierr = MatMPIBAIJSetPreallocation(*A,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
3549   } else {
3550     ierr = MatSetType(*A,MATSEQBAIJ);CHKERRQ(ierr);
3551     ierr = MatSeqBAIJSetPreallocation(*A,bs,d_nz,d_nnz);CHKERRQ(ierr);
3552   }
3553   PetscFunctionReturn(0);
3554 }
3555 
3556 #undef __FUNCT__
3557 #define __FUNCT__ "MatDuplicate_MPIBAIJ"
3558 static PetscErrorCode MatDuplicate_MPIBAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
3559 {
3560   Mat            mat;
3561   Mat_MPIBAIJ    *a,*oldmat = (Mat_MPIBAIJ*)matin->data;
3562   PetscErrorCode ierr;
3563   PetscInt       len=0;
3564 
3565   PetscFunctionBegin;
3566   *newmat = 0;
3567   ierr    = MatCreate(PetscObjectComm((PetscObject)matin),&mat);CHKERRQ(ierr);
3568   ierr    = MatSetSizes(mat,matin->rmap->n,matin->cmap->n,matin->rmap->N,matin->cmap->N);CHKERRQ(ierr);
3569   ierr    = MatSetType(mat,((PetscObject)matin)->type_name);CHKERRQ(ierr);
3570   ierr    = PetscMemcpy(mat->ops,matin->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
3571 
3572   mat->factortype   = matin->factortype;
3573   mat->preallocated = PETSC_TRUE;
3574   mat->assembled    = PETSC_TRUE;
3575   mat->insertmode   = NOT_SET_VALUES;
3576 
3577   a             = (Mat_MPIBAIJ*)mat->data;
3578   mat->rmap->bs = matin->rmap->bs;
3579   a->bs2        = oldmat->bs2;
3580   a->mbs        = oldmat->mbs;
3581   a->nbs        = oldmat->nbs;
3582   a->Mbs        = oldmat->Mbs;
3583   a->Nbs        = oldmat->Nbs;
3584 
3585   ierr = PetscLayoutReference(matin->rmap,&mat->rmap);CHKERRQ(ierr);
3586   ierr = PetscLayoutReference(matin->cmap,&mat->cmap);CHKERRQ(ierr);
3587 
3588   a->size         = oldmat->size;
3589   a->rank         = oldmat->rank;
3590   a->donotstash   = oldmat->donotstash;
3591   a->roworiented  = oldmat->roworiented;
3592   a->rowindices   = 0;
3593   a->rowvalues    = 0;
3594   a->getrowactive = PETSC_FALSE;
3595   a->barray       = 0;
3596   a->rstartbs     = oldmat->rstartbs;
3597   a->rendbs       = oldmat->rendbs;
3598   a->cstartbs     = oldmat->cstartbs;
3599   a->cendbs       = oldmat->cendbs;
3600 
3601   /* hash table stuff */
3602   a->ht           = 0;
3603   a->hd           = 0;
3604   a->ht_size      = 0;
3605   a->ht_flag      = oldmat->ht_flag;
3606   a->ht_fact      = oldmat->ht_fact;
3607   a->ht_total_ct  = 0;
3608   a->ht_insert_ct = 0;
3609 
3610   ierr = PetscMemcpy(a->rangebs,oldmat->rangebs,(a->size+1)*sizeof(PetscInt));CHKERRQ(ierr);
3611   if (oldmat->colmap) {
3612 #if defined(PETSC_USE_CTABLE)
3613     ierr = PetscTableCreateCopy(oldmat->colmap,&a->colmap);CHKERRQ(ierr);
3614 #else
3615     ierr = PetscMalloc((a->Nbs)*sizeof(PetscInt),&a->colmap);CHKERRQ(ierr);
3616     ierr = PetscLogObjectMemory((PetscObject)mat,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
3617     ierr = PetscMemcpy(a->colmap,oldmat->colmap,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
3618 #endif
3619   } else a->colmap = 0;
3620 
3621   if (oldmat->garray && (len = ((Mat_SeqBAIJ*)(oldmat->B->data))->nbs)) {
3622     ierr = PetscMalloc(len*sizeof(PetscInt),&a->garray);CHKERRQ(ierr);
3623     ierr = PetscLogObjectMemory((PetscObject)mat,len*sizeof(PetscInt));CHKERRQ(ierr);
3624     ierr = PetscMemcpy(a->garray,oldmat->garray,len*sizeof(PetscInt));CHKERRQ(ierr);
3625   } else a->garray = 0;
3626 
3627   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)matin),matin->rmap->bs,&mat->bstash);CHKERRQ(ierr);
3628   ierr = VecDuplicate(oldmat->lvec,&a->lvec);CHKERRQ(ierr);
3629   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->lvec);CHKERRQ(ierr);
3630   ierr = VecScatterCopy(oldmat->Mvctx,&a->Mvctx);CHKERRQ(ierr);
3631   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->Mvctx);CHKERRQ(ierr);
3632 
3633   ierr    = MatDuplicate(oldmat->A,cpvalues,&a->A);CHKERRQ(ierr);
3634   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->A);CHKERRQ(ierr);
3635   ierr    = MatDuplicate(oldmat->B,cpvalues,&a->B);CHKERRQ(ierr);
3636   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->B);CHKERRQ(ierr);
3637   ierr    = PetscFunctionListDuplicate(((PetscObject)matin)->qlist,&((PetscObject)mat)->qlist);CHKERRQ(ierr);
3638   *newmat = mat;
3639   PetscFunctionReturn(0);
3640 }
3641 
3642 #undef __FUNCT__
3643 #define __FUNCT__ "MatLoad_MPIBAIJ"
3644 PetscErrorCode MatLoad_MPIBAIJ(Mat newmat,PetscViewer viewer)
3645 {
3646   PetscErrorCode ierr;
3647   int            fd;
3648   PetscInt       i,nz,j,rstart,rend;
3649   PetscScalar    *vals,*buf;
3650   MPI_Comm       comm;
3651   MPI_Status     status;
3652   PetscMPIInt    rank,size,maxnz;
3653   PetscInt       header[4],*rowlengths = 0,M,N,m,*rowners,*cols;
3654   PetscInt       *locrowlens = NULL,*procsnz = NULL,*browners = NULL;
3655   PetscInt       jj,*mycols,*ibuf,bs=1,Mbs,mbs,extra_rows,mmax;
3656   PetscMPIInt    tag    = ((PetscObject)viewer)->tag;
3657   PetscInt       *dlens = NULL,*odlens = NULL,*mask = NULL,*masked1 = NULL,*masked2 = NULL,rowcount,odcount;
3658   PetscInt       dcount,kmax,k,nzcount,tmp,mend,sizesset=1,grows,gcols;
3659 
3660   PetscFunctionBegin;
3661   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
3662   ierr = PetscOptionsBegin(comm,NULL,"Options for loading MPIBAIJ matrix 2","Mat");CHKERRQ(ierr);
3663   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
3664   ierr = PetscOptionsEnd();CHKERRQ(ierr);
3665 
3666   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3667   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
3668   if (!rank) {
3669     ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
3670     ierr = PetscBinaryRead(fd,(char*)header,4,PETSC_INT);CHKERRQ(ierr);
3671     if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
3672   }
3673 
3674   if (newmat->rmap->n < 0 && newmat->rmap->N < 0 && newmat->cmap->n < 0 && newmat->cmap->N < 0) sizesset = 0;
3675 
3676   ierr = MPI_Bcast(header+1,3,MPIU_INT,0,comm);CHKERRQ(ierr);
3677   M    = header[1]; N = header[2];
3678 
3679   /* If global rows/cols are set to PETSC_DECIDE, set it to the sizes given in the file */
3680   if (sizesset && newmat->rmap->N < 0) newmat->rmap->N = M;
3681   if (sizesset && newmat->cmap->N < 0) newmat->cmap->N = N;
3682 
3683   /* If global sizes are set, check if they are consistent with that given in the file */
3684   if (sizesset) {
3685     ierr = MatGetSize(newmat,&grows,&gcols);CHKERRQ(ierr);
3686   }
3687   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);
3688   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);
3689 
3690   if (M != N) SETERRQ(PetscObjectComm((PetscObject)viewer),PETSC_ERR_SUP,"Can only do square matrices");
3691 
3692   /*
3693      This code adds extra rows to make sure the number of rows is
3694      divisible by the blocksize
3695   */
3696   Mbs        = M/bs;
3697   extra_rows = bs - M + bs*Mbs;
3698   if (extra_rows == bs) extra_rows = 0;
3699   else                  Mbs++;
3700   if (extra_rows && !rank) {
3701     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
3702   }
3703 
3704   /* determine ownership of all rows */
3705   if (newmat->rmap->n < 0) { /* PETSC_DECIDE */
3706     mbs = Mbs/size + ((Mbs % size) > rank);
3707     m   = mbs*bs;
3708   } else { /* User set */
3709     m   = newmat->rmap->n;
3710     mbs = m/bs;
3711   }
3712   ierr = PetscMalloc2(size+1,PetscInt,&rowners,size+1,PetscInt,&browners);CHKERRQ(ierr);
3713   ierr = MPI_Allgather(&mbs,1,MPIU_INT,rowners+1,1,MPIU_INT,comm);CHKERRQ(ierr);
3714 
3715   /* process 0 needs enough room for process with most rows */
3716   if (!rank) {
3717     mmax = rowners[1];
3718     for (i=2; i<=size; i++) {
3719       mmax = PetscMax(mmax,rowners[i]);
3720     }
3721     mmax*=bs;
3722   } else mmax = -1;             /* unused, but compiler warns anyway */
3723 
3724   rowners[0] = 0;
3725   for (i=2; i<=size; i++) rowners[i] += rowners[i-1];
3726   for (i=0; i<=size; i++) browners[i] = rowners[i]*bs;
3727   rstart = rowners[rank];
3728   rend   = rowners[rank+1];
3729 
3730   /* distribute row lengths to all processors */
3731   ierr = PetscMalloc(m*sizeof(PetscInt),&locrowlens);CHKERRQ(ierr);
3732   if (!rank) {
3733     mend = m;
3734     if (size == 1) mend = mend - extra_rows;
3735     ierr = PetscBinaryRead(fd,locrowlens,mend,PETSC_INT);CHKERRQ(ierr);
3736     for (j=mend; j<m; j++) locrowlens[j] = 1;
3737     ierr = PetscMalloc(mmax*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
3738     ierr = PetscMalloc(size*sizeof(PetscInt),&procsnz);CHKERRQ(ierr);
3739     ierr = PetscMemzero(procsnz,size*sizeof(PetscInt));CHKERRQ(ierr);
3740     for (j=0; j<m; j++) {
3741       procsnz[0] += locrowlens[j];
3742     }
3743     for (i=1; i<size; i++) {
3744       mend = browners[i+1] - browners[i];
3745       if (i == size-1) mend = mend - extra_rows;
3746       ierr = PetscBinaryRead(fd,rowlengths,mend,PETSC_INT);CHKERRQ(ierr);
3747       for (j=mend; j<browners[i+1] - browners[i]; j++) rowlengths[j] = 1;
3748       /* calculate the number of nonzeros on each processor */
3749       for (j=0; j<browners[i+1]-browners[i]; j++) {
3750         procsnz[i] += rowlengths[j];
3751       }
3752       ierr = MPI_Send(rowlengths,browners[i+1]-browners[i],MPIU_INT,i,tag,comm);CHKERRQ(ierr);
3753     }
3754     ierr = PetscFree(rowlengths);CHKERRQ(ierr);
3755   } else {
3756     ierr = MPI_Recv(locrowlens,m,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
3757   }
3758 
3759   if (!rank) {
3760     /* determine max buffer needed and allocate it */
3761     maxnz = procsnz[0];
3762     for (i=1; i<size; i++) {
3763       maxnz = PetscMax(maxnz,procsnz[i]);
3764     }
3765     ierr = PetscMalloc(maxnz*sizeof(PetscInt),&cols);CHKERRQ(ierr);
3766 
3767     /* read in my part of the matrix column indices  */
3768     nz     = procsnz[0];
3769     ierr   = PetscMalloc((nz+1)*sizeof(PetscInt),&ibuf);CHKERRQ(ierr);
3770     mycols = ibuf;
3771     if (size == 1) nz -= extra_rows;
3772     ierr = PetscBinaryRead(fd,mycols,nz,PETSC_INT);CHKERRQ(ierr);
3773     if (size == 1) {
3774       for (i=0; i< extra_rows; i++) mycols[nz+i] = M+i;
3775     }
3776 
3777     /* read in every ones (except the last) and ship off */
3778     for (i=1; i<size-1; i++) {
3779       nz   = procsnz[i];
3780       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
3781       ierr = MPI_Send(cols,nz,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
3782     }
3783     /* read in the stuff for the last proc */
3784     if (size != 1) {
3785       nz   = procsnz[size-1] - extra_rows;  /* the extra rows are not on the disk */
3786       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
3787       for (i=0; i<extra_rows; i++) cols[nz+i] = M+i;
3788       ierr = MPI_Send(cols,nz+extra_rows,MPIU_INT,size-1,tag,comm);CHKERRQ(ierr);
3789     }
3790     ierr = PetscFree(cols);CHKERRQ(ierr);
3791   } else {
3792     /* determine buffer space needed for message */
3793     nz = 0;
3794     for (i=0; i<m; i++) {
3795       nz += locrowlens[i];
3796     }
3797     ierr   = PetscMalloc((nz+1)*sizeof(PetscInt),&ibuf);CHKERRQ(ierr);
3798     mycols = ibuf;
3799     /* receive message of column indices*/
3800     ierr = MPI_Recv(mycols,nz,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
3801     ierr = MPI_Get_count(&status,MPIU_INT,&maxnz);CHKERRQ(ierr);
3802     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
3803   }
3804 
3805   /* loop over local rows, determining number of off diagonal entries */
3806   ierr     = PetscMalloc2(rend-rstart,PetscInt,&dlens,rend-rstart,PetscInt,&odlens);CHKERRQ(ierr);
3807   ierr     = PetscMalloc3(Mbs,PetscInt,&mask,Mbs,PetscInt,&masked1,Mbs,PetscInt,&masked2);CHKERRQ(ierr);
3808   ierr     = PetscMemzero(mask,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
3809   ierr     = PetscMemzero(masked1,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
3810   ierr     = PetscMemzero(masked2,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
3811   rowcount = 0; nzcount = 0;
3812   for (i=0; i<mbs; i++) {
3813     dcount  = 0;
3814     odcount = 0;
3815     for (j=0; j<bs; j++) {
3816       kmax = locrowlens[rowcount];
3817       for (k=0; k<kmax; k++) {
3818         tmp = mycols[nzcount++]/bs;
3819         if (!mask[tmp]) {
3820           mask[tmp] = 1;
3821           if (tmp < rstart || tmp >= rend) masked2[odcount++] = tmp;
3822           else masked1[dcount++] = tmp;
3823         }
3824       }
3825       rowcount++;
3826     }
3827 
3828     dlens[i]  = dcount;
3829     odlens[i] = odcount;
3830 
3831     /* zero out the mask elements we set */
3832     for (j=0; j<dcount; j++) mask[masked1[j]] = 0;
3833     for (j=0; j<odcount; j++) mask[masked2[j]] = 0;
3834   }
3835 
3836 
3837   if (!sizesset) {
3838     ierr = MatSetSizes(newmat,m,m,M+extra_rows,N+extra_rows);CHKERRQ(ierr);
3839   }
3840   ierr = MatMPIBAIJSetPreallocation(newmat,bs,0,dlens,0,odlens);CHKERRQ(ierr);
3841 
3842   if (!rank) {
3843     ierr = PetscMalloc((maxnz+1)*sizeof(PetscScalar),&buf);CHKERRQ(ierr);
3844     /* read in my part of the matrix numerical values  */
3845     nz     = procsnz[0];
3846     vals   = buf;
3847     mycols = ibuf;
3848     if (size == 1) nz -= extra_rows;
3849     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3850     if (size == 1) {
3851       for (i=0; i< extra_rows; i++) vals[nz+i] = 1.0;
3852     }
3853 
3854     /* insert into matrix */
3855     jj = rstart*bs;
3856     for (i=0; i<m; i++) {
3857       ierr    = MatSetValues_MPIBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
3858       mycols += locrowlens[i];
3859       vals   += locrowlens[i];
3860       jj++;
3861     }
3862     /* read in other processors (except the last one) and ship out */
3863     for (i=1; i<size-1; i++) {
3864       nz   = procsnz[i];
3865       vals = buf;
3866       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3867       ierr = MPIULong_Send(vals,nz,MPIU_SCALAR,i,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
3868     }
3869     /* the last proc */
3870     if (size != 1) {
3871       nz   = procsnz[i] - extra_rows;
3872       vals = buf;
3873       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3874       for (i=0; i<extra_rows; i++) vals[nz+i] = 1.0;
3875       ierr = MPIULong_Send(vals,nz+extra_rows,MPIU_SCALAR,size-1,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
3876     }
3877     ierr = PetscFree(procsnz);CHKERRQ(ierr);
3878   } else {
3879     /* receive numeric values */
3880     ierr = PetscMalloc((nz+1)*sizeof(PetscScalar),&buf);CHKERRQ(ierr);
3881 
3882     /* receive message of values*/
3883     vals   = buf;
3884     mycols = ibuf;
3885     ierr   = MPIULong_Recv(vals,nz,MPIU_SCALAR,0,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
3886 
3887     /* insert into matrix */
3888     jj = rstart*bs;
3889     for (i=0; i<m; i++) {
3890       ierr    = MatSetValues_MPIBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
3891       mycols += locrowlens[i];
3892       vals   += locrowlens[i];
3893       jj++;
3894     }
3895   }
3896   ierr = PetscFree(locrowlens);CHKERRQ(ierr);
3897   ierr = PetscFree(buf);CHKERRQ(ierr);
3898   ierr = PetscFree(ibuf);CHKERRQ(ierr);
3899   ierr = PetscFree2(rowners,browners);CHKERRQ(ierr);
3900   ierr = PetscFree2(dlens,odlens);CHKERRQ(ierr);
3901   ierr = PetscFree3(mask,masked1,masked2);CHKERRQ(ierr);
3902   ierr = MatAssemblyBegin(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3903   ierr = MatAssemblyEnd(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3904   PetscFunctionReturn(0);
3905 }
3906 
3907 #undef __FUNCT__
3908 #define __FUNCT__ "MatMPIBAIJSetHashTableFactor"
3909 /*@
3910    MatMPIBAIJSetHashTableFactor - Sets the factor required to compute the size of the HashTable.
3911 
3912    Input Parameters:
3913 .  mat  - the matrix
3914 .  fact - factor
3915 
3916    Not Collective, each process can use a different factor
3917 
3918    Level: advanced
3919 
3920   Notes:
3921    This can also be set by the command line option: -mat_use_hash_table <fact>
3922 
3923 .keywords: matrix, hashtable, factor, HT
3924 
3925 .seealso: MatSetOption()
3926 @*/
3927 PetscErrorCode  MatMPIBAIJSetHashTableFactor(Mat mat,PetscReal fact)
3928 {
3929   PetscErrorCode ierr;
3930 
3931   PetscFunctionBegin;
3932   ierr = PetscTryMethod(mat,"MatSetHashTableFactor_C",(Mat,PetscReal),(mat,fact));CHKERRQ(ierr);
3933   PetscFunctionReturn(0);
3934 }
3935 
3936 #undef __FUNCT__
3937 #define __FUNCT__ "MatSetHashTableFactor_MPIBAIJ"
3938 PetscErrorCode  MatSetHashTableFactor_MPIBAIJ(Mat mat,PetscReal fact)
3939 {
3940   Mat_MPIBAIJ *baij;
3941 
3942   PetscFunctionBegin;
3943   baij          = (Mat_MPIBAIJ*)mat->data;
3944   baij->ht_fact = fact;
3945   PetscFunctionReturn(0);
3946 }
3947 
3948 #undef __FUNCT__
3949 #define __FUNCT__ "MatMPIBAIJGetSeqBAIJ"
3950 PetscErrorCode  MatMPIBAIJGetSeqBAIJ(Mat A,Mat *Ad,Mat *Ao,const PetscInt *colmap[])
3951 {
3952   Mat_MPIBAIJ *a = (Mat_MPIBAIJ*)A->data;
3953 
3954   PetscFunctionBegin;
3955   *Ad     = a->A;
3956   *Ao     = a->B;
3957   *colmap = a->garray;
3958   PetscFunctionReturn(0);
3959 }
3960 
3961 /*
3962     Special version for direct calls from Fortran (to eliminate two function call overheads
3963 */
3964 #if defined(PETSC_HAVE_FORTRAN_CAPS)
3965 #define matmpibaijsetvaluesblocked_ MATMPIBAIJSETVALUESBLOCKED
3966 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
3967 #define matmpibaijsetvaluesblocked_ matmpibaijsetvaluesblocked
3968 #endif
3969 
3970 #undef __FUNCT__
3971 #define __FUNCT__ "matmpibiajsetvaluesblocked"
3972 /*@C
3973   MatMPIBAIJSetValuesBlocked - Direct Fortran call to replace call to MatSetValuesBlocked()
3974 
3975   Collective on Mat
3976 
3977   Input Parameters:
3978 + mat - the matrix
3979 . min - number of input rows
3980 . im - input rows
3981 . nin - number of input columns
3982 . in - input columns
3983 . v - numerical values input
3984 - addvin - INSERT_VALUES or ADD_VALUES
3985 
3986   Notes: This has a complete copy of MatSetValuesBlocked_MPIBAIJ() which is terrible code un-reuse.
3987 
3988   Level: advanced
3989 
3990 .seealso:   MatSetValuesBlocked()
3991 @*/
3992 PetscErrorCode matmpibaijsetvaluesblocked_(Mat *matin,PetscInt *min,const PetscInt im[],PetscInt *nin,const PetscInt in[],const MatScalar v[],InsertMode *addvin)
3993 {
3994   /* convert input arguments to C version */
3995   Mat        mat  = *matin;
3996   PetscInt   m    = *min, n = *nin;
3997   InsertMode addv = *addvin;
3998 
3999   Mat_MPIBAIJ     *baij = (Mat_MPIBAIJ*)mat->data;
4000   const MatScalar *value;
4001   MatScalar       *barray     = baij->barray;
4002   PetscBool       roworiented = baij->roworiented;
4003   PetscErrorCode  ierr;
4004   PetscInt        i,j,ii,jj,row,col,rstart=baij->rstartbs;
4005   PetscInt        rend=baij->rendbs,cstart=baij->cstartbs,stepval;
4006   PetscInt        cend=baij->cendbs,bs=mat->rmap->bs,bs2=baij->bs2;
4007 
4008   PetscFunctionBegin;
4009   /* tasks normally handled by MatSetValuesBlocked() */
4010   if (mat->insertmode == NOT_SET_VALUES) mat->insertmode = addv;
4011 #if defined(PETSC_USE_DEBUG)
4012   else if (mat->insertmode != addv) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
4013   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
4014 #endif
4015   if (mat->assembled) {
4016     mat->was_assembled = PETSC_TRUE;
4017     mat->assembled     = PETSC_FALSE;
4018   }
4019   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
4020 
4021 
4022   if (!barray) {
4023     ierr         = PetscMalloc(bs2*sizeof(MatScalar),&barray);CHKERRQ(ierr);
4024     baij->barray = barray;
4025   }
4026 
4027   if (roworiented) stepval = (n-1)*bs;
4028   else stepval = (m-1)*bs;
4029 
4030   for (i=0; i<m; i++) {
4031     if (im[i] < 0) continue;
4032 #if defined(PETSC_USE_DEBUG)
4033     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);
4034 #endif
4035     if (im[i] >= rstart && im[i] < rend) {
4036       row = im[i] - rstart;
4037       for (j=0; j<n; j++) {
4038         /* If NumCol = 1 then a copy is not required */
4039         if ((roworiented) && (n == 1)) {
4040           barray = (MatScalar*)v + i*bs2;
4041         } else if ((!roworiented) && (m == 1)) {
4042           barray = (MatScalar*)v + j*bs2;
4043         } else { /* Here a copy is required */
4044           if (roworiented) {
4045             value = v + i*(stepval+bs)*bs + j*bs;
4046           } else {
4047             value = v + j*(stepval+bs)*bs + i*bs;
4048           }
4049           for (ii=0; ii<bs; ii++,value+=stepval) {
4050             for (jj=0; jj<bs; jj++) {
4051               *barray++ = *value++;
4052             }
4053           }
4054           barray -=bs2;
4055         }
4056 
4057         if (in[j] >= cstart && in[j] < cend) {
4058           col  = in[j] - cstart;
4059           ierr = MatSetValuesBlocked_SeqBAIJ(baij->A,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
4060         } else if (in[j] < 0) continue;
4061 #if defined(PETSC_USE_DEBUG)
4062         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);
4063 #endif
4064         else {
4065           if (mat->was_assembled) {
4066             if (!baij->colmap) {
4067               ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
4068             }
4069 
4070 #if defined(PETSC_USE_DEBUG)
4071 #if defined(PETSC_USE_CTABLE)
4072             { PetscInt data;
4073               ierr = PetscTableFind(baij->colmap,in[j]+1,&data);CHKERRQ(ierr);
4074               if ((data - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
4075             }
4076 #else
4077             if ((baij->colmap[in[j]] - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
4078 #endif
4079 #endif
4080 #if defined(PETSC_USE_CTABLE)
4081             ierr = PetscTableFind(baij->colmap,in[j]+1,&col);CHKERRQ(ierr);
4082             col  = (col - 1)/bs;
4083 #else
4084             col = (baij->colmap[in[j]] - 1)/bs;
4085 #endif
4086             if (col < 0 && !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
4087               ierr = MatDisAssemble_MPIBAIJ(mat);CHKERRQ(ierr);
4088               col  =  in[j];
4089             }
4090           } else col = in[j];
4091           ierr = MatSetValuesBlocked_SeqBAIJ(baij->B,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
4092         }
4093       }
4094     } else {
4095       if (!baij->donotstash) {
4096         if (roworiented) {
4097           ierr = MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
4098         } else {
4099           ierr = MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
4100         }
4101       }
4102     }
4103   }
4104 
4105   /* task normally handled by MatSetValuesBlocked() */
4106   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
4107   PetscFunctionReturn(0);
4108 }
4109 
4110 #undef __FUNCT__
4111 #define __FUNCT__ "MatCreateMPIBAIJWithArrays"
4112 /*@
4113      MatCreateMPIBAIJWithArrays - creates a MPI BAIJ matrix using arrays that contain in standard
4114          CSR format the local rows.
4115 
4116    Collective on MPI_Comm
4117 
4118    Input Parameters:
4119 +  comm - MPI communicator
4120 .  bs - the block size, only a block size of 1 is supported
4121 .  m - number of local rows (Cannot be PETSC_DECIDE)
4122 .  n - This value should be the same as the local size used in creating the
4123        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
4124        calculated if N is given) For square matrices n is almost always m.
4125 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
4126 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
4127 .   i - row indices
4128 .   j - column indices
4129 -   a - matrix values
4130 
4131    Output Parameter:
4132 .   mat - the matrix
4133 
4134    Level: intermediate
4135 
4136    Notes:
4137        The i, j, and a arrays ARE copied by this routine into the internal format used by PETSc;
4138      thus you CANNOT change the matrix entries by changing the values of a[] after you have
4139      called this routine. Use MatCreateMPIAIJWithSplitArrays() to avoid needing to copy the arrays.
4140 
4141        The i and j indices are 0 based, and i indices are indices corresponding to the local j array.
4142 
4143 .keywords: matrix, aij, compressed row, sparse, parallel
4144 
4145 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
4146           MPIAIJ, MatCreateAIJ(), MatCreateMPIAIJWithSplitArrays()
4147 @*/
4148 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)
4149 {
4150   PetscErrorCode ierr;
4151 
4152   PetscFunctionBegin;
4153   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
4154   if (m < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"local number of rows (m) cannot be PETSC_DECIDE, or negative");
4155   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4156   ierr = MatSetSizes(*mat,m,n,M,N);CHKERRQ(ierr);
4157   ierr = MatSetType(*mat,MATMPISBAIJ);CHKERRQ(ierr);
4158   ierr = MatMPIBAIJSetPreallocationCSR(*mat,bs,i,j,a);CHKERRQ(ierr);
4159   PetscFunctionReturn(0);
4160 }
4161