xref: /petsc/src/mat/impls/baij/mpi/mpibaij.c (revision a0a83eb5541e0347a842128ec5829f3f40797d1a)
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 = MatAssemblyBegin(baij->B,mode);CHKERRQ(ierr);
910   ierr = MatAssemblyEnd(baij->B,mode);CHKERRQ(ierr);
911 
912 #if defined(PETSC_USE_INFO)
913   if (baij->ht && mode== MAT_FINAL_ASSEMBLY) {
914     ierr = PetscInfo1(mat,"Average Hash Table Search in MatSetValues = %5.2f\n",((PetscReal)baij->ht_total_ct)/baij->ht_insert_ct);CHKERRQ(ierr);
915 
916     baij->ht_total_ct  = 0;
917     baij->ht_insert_ct = 0;
918   }
919 #endif
920   if (baij->ht_flag && !baij->ht && mode == MAT_FINAL_ASSEMBLY) {
921     ierr = MatCreateHashTable_MPIBAIJ_Private(mat,baij->ht_fact);CHKERRQ(ierr);
922 
923     mat->ops->setvalues        = MatSetValues_MPIBAIJ_HT;
924     mat->ops->setvaluesblocked = MatSetValuesBlocked_MPIBAIJ_HT;
925   }
926 
927   ierr = PetscFree2(baij->rowvalues,baij->rowindices);CHKERRQ(ierr);
928 
929   baij->rowvalues = 0;
930   PetscFunctionReturn(0);
931 }
932 
933 #include <petscdraw.h>
934 #undef __FUNCT__
935 #define __FUNCT__ "MatView_MPIBAIJ_ASCIIorDraworSocket"
936 static PetscErrorCode MatView_MPIBAIJ_ASCIIorDraworSocket(Mat mat,PetscViewer viewer)
937 {
938   Mat_MPIBAIJ       *baij = (Mat_MPIBAIJ*)mat->data;
939   PetscErrorCode    ierr;
940   PetscMPIInt       size = baij->size,rank = baij->rank;
941   PetscInt          bs   = mat->rmap->bs;
942   PetscBool         iascii,isdraw;
943   PetscViewer       sviewer;
944   PetscViewerFormat format;
945 
946   PetscFunctionBegin;
947   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
948   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
949   if (iascii) {
950     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
951     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
952       MatInfo info;
953       ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)mat),&rank);CHKERRQ(ierr);
954       ierr = MatGetInfo(mat,MAT_LOCAL,&info);CHKERRQ(ierr);
955       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_TRUE);CHKERRQ(ierr);
956       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] Local rows %D nz %D nz alloced %D bs %D mem %D\n",
957                                                 rank,mat->rmap->n,(PetscInt)info.nz_used,(PetscInt)info.nz_allocated,mat->rmap->bs,(PetscInt)info.memory);CHKERRQ(ierr);
958       ierr = MatGetInfo(baij->A,MAT_LOCAL,&info);CHKERRQ(ierr);
959       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] on-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
960       ierr = MatGetInfo(baij->B,MAT_LOCAL,&info);CHKERRQ(ierr);
961       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] off-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
962       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
963       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_FALSE);CHKERRQ(ierr);
964       ierr = PetscViewerASCIIPrintf(viewer,"Information on VecScatter used in matrix-vector product: \n");CHKERRQ(ierr);
965       ierr = VecScatterView(baij->Mvctx,viewer);CHKERRQ(ierr);
966       PetscFunctionReturn(0);
967     } else if (format == PETSC_VIEWER_ASCII_INFO) {
968       ierr = PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);CHKERRQ(ierr);
969       PetscFunctionReturn(0);
970     } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
971       PetscFunctionReturn(0);
972     }
973   }
974 
975   if (isdraw) {
976     PetscDraw draw;
977     PetscBool isnull;
978     ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
979     ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
980   }
981 
982   if (size == 1) {
983     ierr = PetscObjectSetName((PetscObject)baij->A,((PetscObject)mat)->name);CHKERRQ(ierr);
984     ierr = MatView(baij->A,viewer);CHKERRQ(ierr);
985   } else {
986     /* assemble the entire matrix onto first processor. */
987     Mat         A;
988     Mat_SeqBAIJ *Aloc;
989     PetscInt    M = mat->rmap->N,N = mat->cmap->N,*ai,*aj,col,i,j,k,*rvals,mbs = baij->mbs;
990     MatScalar   *a;
991 
992     /* Here we are creating a temporary matrix, so will assume MPIBAIJ is acceptable */
993     /* Perhaps this should be the type of mat? */
994     ierr = MatCreate(PetscObjectComm((PetscObject)mat),&A);CHKERRQ(ierr);
995     if (!rank) {
996       ierr = MatSetSizes(A,M,N,M,N);CHKERRQ(ierr);
997     } else {
998       ierr = MatSetSizes(A,0,0,M,N);CHKERRQ(ierr);
999     }
1000     ierr = MatSetType(A,MATMPIBAIJ);CHKERRQ(ierr);
1001     ierr = MatMPIBAIJSetPreallocation(A,mat->rmap->bs,0,NULL,0,NULL);CHKERRQ(ierr);
1002     ierr = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);
1003     ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)A);CHKERRQ(ierr);
1004 
1005     /* copy over the A part */
1006     Aloc = (Mat_SeqBAIJ*)baij->A->data;
1007     ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
1008     ierr = PetscMalloc(bs*sizeof(PetscInt),&rvals);CHKERRQ(ierr);
1009 
1010     for (i=0; i<mbs; i++) {
1011       rvals[0] = bs*(baij->rstartbs + i);
1012       for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
1013       for (j=ai[i]; j<ai[i+1]; j++) {
1014         col = (baij->cstartbs+aj[j])*bs;
1015         for (k=0; k<bs; k++) {
1016           ierr      = MatSetValues_MPIBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
1017           col++; a += bs;
1018         }
1019       }
1020     }
1021     /* copy over the B part */
1022     Aloc = (Mat_SeqBAIJ*)baij->B->data;
1023     ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
1024     for (i=0; i<mbs; i++) {
1025       rvals[0] = bs*(baij->rstartbs + i);
1026       for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
1027       for (j=ai[i]; j<ai[i+1]; j++) {
1028         col = baij->garray[aj[j]]*bs;
1029         for (k=0; k<bs; k++) {
1030           ierr      = MatSetValues_MPIBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);CHKERRQ(ierr);
1031           col++; a += bs;
1032         }
1033       }
1034     }
1035     ierr = PetscFree(rvals);CHKERRQ(ierr);
1036     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1037     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1038     /*
1039        Everyone has to call to draw the matrix since the graphics waits are
1040        synchronized across all processors that share the PetscDraw object
1041     */
1042     ierr = PetscViewerGetSingleton(viewer,&sviewer);CHKERRQ(ierr);
1043     if (!rank) {
1044       ierr = PetscObjectSetName((PetscObject)((Mat_MPIBAIJ*)(A->data))->A,((PetscObject)mat)->name);CHKERRQ(ierr);
1045       /* Set the type name to MATMPIBAIJ so that the correct type can be printed out by PetscObjectPrintClassNamePrefixType() in MatView_SeqBAIJ_ASCII()*/
1046       PetscStrcpy(((PetscObject)((Mat_MPIBAIJ*)(A->data))->A)->type_name,MATMPIBAIJ);
1047       ierr = MatView(((Mat_MPIBAIJ*)(A->data))->A,sviewer);CHKERRQ(ierr);
1048     }
1049     ierr = PetscViewerRestoreSingleton(viewer,&sviewer);CHKERRQ(ierr);
1050     ierr = MatDestroy(&A);CHKERRQ(ierr);
1051   }
1052   PetscFunctionReturn(0);
1053 }
1054 
1055 #undef __FUNCT__
1056 #define __FUNCT__ "MatView_MPIBAIJ_Binary"
1057 static PetscErrorCode MatView_MPIBAIJ_Binary(Mat mat,PetscViewer viewer)
1058 {
1059   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)mat->data;
1060   Mat_SeqBAIJ    *A = (Mat_SeqBAIJ*)a->A->data;
1061   Mat_SeqBAIJ    *B = (Mat_SeqBAIJ*)a->B->data;
1062   PetscErrorCode ierr;
1063   PetscInt       i,*row_lens,*crow_lens,bs = mat->rmap->bs,j,k,bs2=a->bs2,header[4],nz,rlen;
1064   PetscInt       *range=0,nzmax,*column_indices,cnt,col,*garray = a->garray,cstart = mat->cmap->rstart/bs,len,pcnt,l,ll;
1065   int            fd;
1066   PetscScalar    *column_values;
1067   FILE           *file;
1068   PetscMPIInt    rank,size,tag = ((PetscObject)viewer)->tag;
1069   PetscInt       message_count,flowcontrolcount;
1070 
1071   PetscFunctionBegin;
1072   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)mat),&rank);CHKERRQ(ierr);
1073   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)mat),&size);CHKERRQ(ierr);
1074   nz   = bs2*(A->nz + B->nz);
1075   rlen = mat->rmap->n;
1076   if (!rank) {
1077     header[0] = MAT_FILE_CLASSID;
1078     header[1] = mat->rmap->N;
1079     header[2] = mat->cmap->N;
1080 
1081     ierr = MPI_Reduce(&nz,&header[3],1,MPIU_INT,MPI_SUM,0,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1082     ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
1083     ierr = PetscBinaryWrite(fd,header,4,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1084     /* get largest number of rows any processor has */
1085     range = mat->rmap->range;
1086     for (i=1; i<size; i++) {
1087       rlen = PetscMax(rlen,range[i+1] - range[i]);
1088     }
1089   } else {
1090     ierr = MPI_Reduce(&nz,0,1,MPIU_INT,MPI_SUM,0,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1091   }
1092 
1093   ierr = PetscMalloc((rlen/bs)*sizeof(PetscInt),&crow_lens);CHKERRQ(ierr);
1094   /* compute lengths of each row  */
1095   for (i=0; i<a->mbs; i++) {
1096     crow_lens[i] = A->i[i+1] - A->i[i] + B->i[i+1] - B->i[i];
1097   }
1098   /* store the row lengths to the file */
1099   ierr = PetscViewerFlowControlStart(viewer,&message_count,&flowcontrolcount);CHKERRQ(ierr);
1100   if (!rank) {
1101     MPI_Status status;
1102     ierr = PetscMalloc(rlen*sizeof(PetscInt),&row_lens);CHKERRQ(ierr);
1103     rlen = (range[1] - range[0])/bs;
1104     for (i=0; i<rlen; i++) {
1105       for (j=0; j<bs; j++) {
1106         row_lens[i*bs+j] = bs*crow_lens[i];
1107       }
1108     }
1109     ierr = PetscBinaryWrite(fd,row_lens,bs*rlen,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1110     for (i=1; i<size; i++) {
1111       rlen = (range[i+1] - range[i])/bs;
1112       ierr = PetscViewerFlowControlStepMaster(viewer,i,&message_count,flowcontrolcount);CHKERRQ(ierr);
1113       ierr = MPI_Recv(crow_lens,rlen,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1114       for (k=0; k<rlen; k++) {
1115         for (j=0; j<bs; j++) {
1116           row_lens[k*bs+j] = bs*crow_lens[k];
1117         }
1118       }
1119       ierr = PetscBinaryWrite(fd,row_lens,bs*rlen,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1120     }
1121     ierr = PetscViewerFlowControlEndMaster(viewer,&message_count);CHKERRQ(ierr);
1122     ierr = PetscFree(row_lens);CHKERRQ(ierr);
1123   } else {
1124     ierr = PetscViewerFlowControlStepWorker(viewer,rank,&message_count);CHKERRQ(ierr);
1125     ierr = MPI_Send(crow_lens,mat->rmap->n/bs,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1126     ierr = PetscViewerFlowControlEndWorker(viewer,&message_count);CHKERRQ(ierr);
1127   }
1128   ierr = PetscFree(crow_lens);CHKERRQ(ierr);
1129 
1130   /* load up the local column indices. Include for all rows not just one for each block row since process 0 does not have the
1131      information needed to make it for each row from a block row. This does require more communication but still not more than
1132      the communication needed for the nonzero values  */
1133   nzmax = nz; /*  space a largest processor needs */
1134   ierr  = MPI_Reduce(&nz,&nzmax,1,MPIU_INT,MPI_MAX,0,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1135   ierr  = PetscMalloc(nzmax*sizeof(PetscInt),&column_indices);CHKERRQ(ierr);
1136   cnt   = 0;
1137   for (i=0; i<a->mbs; i++) {
1138     pcnt = cnt;
1139     for (j=B->i[i]; j<B->i[i+1]; j++) {
1140       if ((col = garray[B->j[j]]) > cstart) break;
1141       for (l=0; l<bs; l++) {
1142         column_indices[cnt++] = bs*col+l;
1143       }
1144     }
1145     for (k=A->i[i]; k<A->i[i+1]; k++) {
1146       for (l=0; l<bs; l++) {
1147         column_indices[cnt++] = bs*(A->j[k] + cstart)+l;
1148       }
1149     }
1150     for (; j<B->i[i+1]; j++) {
1151       for (l=0; l<bs; l++) {
1152         column_indices[cnt++] = bs*garray[B->j[j]]+l;
1153       }
1154     }
1155     len = cnt - pcnt;
1156     for (k=1; k<bs; k++) {
1157       ierr = PetscMemcpy(&column_indices[cnt],&column_indices[pcnt],len*sizeof(PetscInt));CHKERRQ(ierr);
1158       cnt += len;
1159     }
1160   }
1161   if (cnt != nz) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Internal PETSc error: cnt = %D nz = %D",cnt,nz);
1162 
1163   /* store the columns to the file */
1164   ierr = PetscViewerFlowControlStart(viewer,&message_count,&flowcontrolcount);CHKERRQ(ierr);
1165   if (!rank) {
1166     MPI_Status status;
1167     ierr = PetscBinaryWrite(fd,column_indices,nz,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1168     for (i=1; i<size; i++) {
1169       ierr = PetscViewerFlowControlStepMaster(viewer,i,&message_count,flowcontrolcount);CHKERRQ(ierr);
1170       ierr = MPI_Recv(&cnt,1,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1171       ierr = MPI_Recv(column_indices,cnt,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1172       ierr = PetscBinaryWrite(fd,column_indices,cnt,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1173     }
1174     ierr = PetscViewerFlowControlEndMaster(viewer,&message_count);CHKERRQ(ierr);
1175   } else {
1176     ierr = PetscViewerFlowControlStepWorker(viewer,rank,&message_count);CHKERRQ(ierr);
1177     ierr = MPI_Send(&cnt,1,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1178     ierr = MPI_Send(column_indices,cnt,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1179     ierr = PetscViewerFlowControlEndWorker(viewer,&message_count);CHKERRQ(ierr);
1180   }
1181   ierr = PetscFree(column_indices);CHKERRQ(ierr);
1182 
1183   /* load up the numerical values */
1184   ierr = PetscMalloc(nzmax*sizeof(PetscScalar),&column_values);CHKERRQ(ierr);
1185   cnt  = 0;
1186   for (i=0; i<a->mbs; i++) {
1187     rlen = bs*(B->i[i+1] - B->i[i] + A->i[i+1] - A->i[i]);
1188     for (j=B->i[i]; j<B->i[i+1]; j++) {
1189       if (garray[B->j[j]] > cstart) break;
1190       for (l=0; l<bs; l++) {
1191         for (ll=0; ll<bs; ll++) {
1192           column_values[cnt + l*rlen + ll] = B->a[bs2*j+l+bs*ll];
1193         }
1194       }
1195       cnt += bs;
1196     }
1197     for (k=A->i[i]; k<A->i[i+1]; k++) {
1198       for (l=0; l<bs; l++) {
1199         for (ll=0; ll<bs; ll++) {
1200           column_values[cnt + l*rlen + ll] = A->a[bs2*k+l+bs*ll];
1201         }
1202       }
1203       cnt += bs;
1204     }
1205     for (; j<B->i[i+1]; j++) {
1206       for (l=0; l<bs; l++) {
1207         for (ll=0; ll<bs; ll++) {
1208           column_values[cnt + l*rlen + ll] = B->a[bs2*j+l+bs*ll];
1209         }
1210       }
1211       cnt += bs;
1212     }
1213     cnt += (bs-1)*rlen;
1214   }
1215   if (cnt != nz) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Internal PETSc error: cnt = %D nz = %D",cnt,nz);
1216 
1217   /* store the column values to the file */
1218   ierr = PetscViewerFlowControlStart(viewer,&message_count,&flowcontrolcount);CHKERRQ(ierr);
1219   if (!rank) {
1220     MPI_Status status;
1221     ierr = PetscBinaryWrite(fd,column_values,nz,PETSC_SCALAR,PETSC_TRUE);CHKERRQ(ierr);
1222     for (i=1; i<size; i++) {
1223       ierr = PetscViewerFlowControlStepMaster(viewer,i,&message_count,flowcontrolcount);CHKERRQ(ierr);
1224       ierr = MPI_Recv(&cnt,1,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1225       ierr = MPI_Recv(column_values,cnt,MPIU_SCALAR,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1226       ierr = PetscBinaryWrite(fd,column_values,cnt,PETSC_SCALAR,PETSC_TRUE);CHKERRQ(ierr);
1227     }
1228     ierr = PetscViewerFlowControlEndMaster(viewer,&message_count);CHKERRQ(ierr);
1229   } else {
1230     ierr = PetscViewerFlowControlStepWorker(viewer,rank,&message_count);CHKERRQ(ierr);
1231     ierr = MPI_Send(&nz,1,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1232     ierr = MPI_Send(column_values,nz,MPIU_SCALAR,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1233     ierr = PetscViewerFlowControlEndWorker(viewer,&message_count);CHKERRQ(ierr);
1234   }
1235   ierr = PetscFree(column_values);CHKERRQ(ierr);
1236 
1237   ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
1238   if (file) {
1239     fprintf(file,"-matload_block_size %d\n",(int)mat->rmap->bs);
1240   }
1241   PetscFunctionReturn(0);
1242 }
1243 
1244 #undef __FUNCT__
1245 #define __FUNCT__ "MatView_MPIBAIJ"
1246 PetscErrorCode MatView_MPIBAIJ(Mat mat,PetscViewer viewer)
1247 {
1248   PetscErrorCode ierr;
1249   PetscBool      iascii,isdraw,issocket,isbinary;
1250 
1251   PetscFunctionBegin;
1252   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1253   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1254   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSOCKET,&issocket);CHKERRQ(ierr);
1255   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1256   if (iascii || isdraw || issocket) {
1257     ierr = MatView_MPIBAIJ_ASCIIorDraworSocket(mat,viewer);CHKERRQ(ierr);
1258   } else if (isbinary) {
1259     ierr = MatView_MPIBAIJ_Binary(mat,viewer);CHKERRQ(ierr);
1260   }
1261   PetscFunctionReturn(0);
1262 }
1263 
1264 #undef __FUNCT__
1265 #define __FUNCT__ "MatDestroy_MPIBAIJ"
1266 PetscErrorCode MatDestroy_MPIBAIJ(Mat mat)
1267 {
1268   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
1269   PetscErrorCode ierr;
1270 
1271   PetscFunctionBegin;
1272 #if defined(PETSC_USE_LOG)
1273   PetscLogObjectState((PetscObject)mat,"Rows=%D,Cols=%D",mat->rmap->N,mat->cmap->N);
1274 #endif
1275   ierr = MatStashDestroy_Private(&mat->stash);CHKERRQ(ierr);
1276   ierr = MatStashDestroy_Private(&mat->bstash);CHKERRQ(ierr);
1277   ierr = MatDestroy(&baij->A);CHKERRQ(ierr);
1278   ierr = MatDestroy(&baij->B);CHKERRQ(ierr);
1279 #if defined(PETSC_USE_CTABLE)
1280   ierr = PetscTableDestroy(&baij->colmap);CHKERRQ(ierr);
1281 #else
1282   ierr = PetscFree(baij->colmap);CHKERRQ(ierr);
1283 #endif
1284   ierr = PetscFree(baij->garray);CHKERRQ(ierr);
1285   ierr = VecDestroy(&baij->lvec);CHKERRQ(ierr);
1286   ierr = VecScatterDestroy(&baij->Mvctx);CHKERRQ(ierr);
1287   ierr = PetscFree2(baij->rowvalues,baij->rowindices);CHKERRQ(ierr);
1288   ierr = PetscFree(baij->barray);CHKERRQ(ierr);
1289   ierr = PetscFree2(baij->hd,baij->ht);CHKERRQ(ierr);
1290   ierr = PetscFree(baij->rangebs);CHKERRQ(ierr);
1291   ierr = PetscFree(mat->data);CHKERRQ(ierr);
1292 
1293   ierr = PetscObjectChangeTypeName((PetscObject)mat,0);CHKERRQ(ierr);
1294   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatStoreValues_C",NULL);CHKERRQ(ierr);
1295   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatRetrieveValues_C",NULL);CHKERRQ(ierr);
1296   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatGetDiagonalBlock_C",NULL);CHKERRQ(ierr);
1297   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatMPIBAIJSetPreallocation_C",NULL);CHKERRQ(ierr);
1298   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatMPIBAIJSetPreallocationCSR_C",NULL);CHKERRQ(ierr);
1299   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatDiagonalScaleLocal_C",NULL);CHKERRQ(ierr);
1300   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatSetHashTableFactor_C",NULL);CHKERRQ(ierr);
1301   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpibaij_mpisbaij_C",NULL);CHKERRQ(ierr);
1302   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpibaij_mpibstrm_C",NULL);CHKERRQ(ierr);
1303   PetscFunctionReturn(0);
1304 }
1305 
1306 #undef __FUNCT__
1307 #define __FUNCT__ "MatMult_MPIBAIJ"
1308 PetscErrorCode MatMult_MPIBAIJ(Mat A,Vec xx,Vec yy)
1309 {
1310   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1311   PetscErrorCode ierr;
1312   PetscInt       nt;
1313 
1314   PetscFunctionBegin;
1315   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
1316   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
1317   ierr = VecGetLocalSize(yy,&nt);CHKERRQ(ierr);
1318   if (nt != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible parition of A and yy");
1319   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1320   ierr = (*a->A->ops->mult)(a->A,xx,yy);CHKERRQ(ierr);
1321   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1322   ierr = (*a->B->ops->multadd)(a->B,a->lvec,yy,yy);CHKERRQ(ierr);
1323   PetscFunctionReturn(0);
1324 }
1325 
1326 #undef __FUNCT__
1327 #define __FUNCT__ "MatMultAdd_MPIBAIJ"
1328 PetscErrorCode MatMultAdd_MPIBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1329 {
1330   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1331   PetscErrorCode ierr;
1332 
1333   PetscFunctionBegin;
1334   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1335   ierr = (*a->A->ops->multadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
1336   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1337   ierr = (*a->B->ops->multadd)(a->B,a->lvec,zz,zz);CHKERRQ(ierr);
1338   PetscFunctionReturn(0);
1339 }
1340 
1341 #undef __FUNCT__
1342 #define __FUNCT__ "MatMultTranspose_MPIBAIJ"
1343 PetscErrorCode MatMultTranspose_MPIBAIJ(Mat A,Vec xx,Vec yy)
1344 {
1345   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1346   PetscErrorCode ierr;
1347   PetscBool      merged;
1348 
1349   PetscFunctionBegin;
1350   ierr = VecScatterGetMerged(a->Mvctx,&merged);CHKERRQ(ierr);
1351   /* do nondiagonal part */
1352   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1353   if (!merged) {
1354     /* send it on its way */
1355     ierr = VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1356     /* do local part */
1357     ierr = (*a->A->ops->multtranspose)(a->A,xx,yy);CHKERRQ(ierr);
1358     /* receive remote parts: note this assumes the values are not actually */
1359     /* inserted in yy until the next line */
1360     ierr = VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1361   } else {
1362     /* do local part */
1363     ierr = (*a->A->ops->multtranspose)(a->A,xx,yy);CHKERRQ(ierr);
1364     /* send it on its way */
1365     ierr = VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1366     /* values actually were received in the Begin() but we need to call this nop */
1367     ierr = VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1368   }
1369   PetscFunctionReturn(0);
1370 }
1371 
1372 #undef __FUNCT__
1373 #define __FUNCT__ "MatMultTransposeAdd_MPIBAIJ"
1374 PetscErrorCode MatMultTransposeAdd_MPIBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1375 {
1376   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1377   PetscErrorCode ierr;
1378 
1379   PetscFunctionBegin;
1380   /* do nondiagonal part */
1381   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1382   /* send it on its way */
1383   ierr = VecScatterBegin(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1384   /* do local part */
1385   ierr = (*a->A->ops->multtransposeadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
1386   /* receive remote parts: note this assumes the values are not actually */
1387   /* inserted in yy until the next line, which is true for my implementation*/
1388   /* but is not perhaps always true. */
1389   ierr = VecScatterEnd(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1390   PetscFunctionReturn(0);
1391 }
1392 
1393 /*
1394   This only works correctly for square matrices where the subblock A->A is the
1395    diagonal block
1396 */
1397 #undef __FUNCT__
1398 #define __FUNCT__ "MatGetDiagonal_MPIBAIJ"
1399 PetscErrorCode MatGetDiagonal_MPIBAIJ(Mat A,Vec v)
1400 {
1401   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1402   PetscErrorCode ierr;
1403 
1404   PetscFunctionBegin;
1405   if (A->rmap->N != A->cmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Supports only square matrix where A->A is diag block");
1406   ierr = MatGetDiagonal(a->A,v);CHKERRQ(ierr);
1407   PetscFunctionReturn(0);
1408 }
1409 
1410 #undef __FUNCT__
1411 #define __FUNCT__ "MatScale_MPIBAIJ"
1412 PetscErrorCode MatScale_MPIBAIJ(Mat A,PetscScalar aa)
1413 {
1414   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1415   PetscErrorCode ierr;
1416 
1417   PetscFunctionBegin;
1418   ierr = MatScale(a->A,aa);CHKERRQ(ierr);
1419   ierr = MatScale(a->B,aa);CHKERRQ(ierr);
1420   PetscFunctionReturn(0);
1421 }
1422 
1423 #undef __FUNCT__
1424 #define __FUNCT__ "MatGetRow_MPIBAIJ"
1425 PetscErrorCode MatGetRow_MPIBAIJ(Mat matin,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1426 {
1427   Mat_MPIBAIJ    *mat = (Mat_MPIBAIJ*)matin->data;
1428   PetscScalar    *vworkA,*vworkB,**pvA,**pvB,*v_p;
1429   PetscErrorCode ierr;
1430   PetscInt       bs = matin->rmap->bs,bs2 = mat->bs2,i,*cworkA,*cworkB,**pcA,**pcB;
1431   PetscInt       nztot,nzA,nzB,lrow,brstart = matin->rmap->rstart,brend = matin->rmap->rend;
1432   PetscInt       *cmap,*idx_p,cstart = mat->cstartbs;
1433 
1434   PetscFunctionBegin;
1435   if (row < brstart || row >= brend) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local rows");
1436   if (mat->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Already active");
1437   mat->getrowactive = PETSC_TRUE;
1438 
1439   if (!mat->rowvalues && (idx || v)) {
1440     /*
1441         allocate enough space to hold information from the longest row.
1442     */
1443     Mat_SeqBAIJ *Aa = (Mat_SeqBAIJ*)mat->A->data,*Ba = (Mat_SeqBAIJ*)mat->B->data;
1444     PetscInt    max = 1,mbs = mat->mbs,tmp;
1445     for (i=0; i<mbs; i++) {
1446       tmp = Aa->i[i+1] - Aa->i[i] + Ba->i[i+1] - Ba->i[i];
1447       if (max < tmp) max = tmp;
1448     }
1449     ierr = PetscMalloc2(max*bs2,PetscScalar,&mat->rowvalues,max*bs2,PetscInt,&mat->rowindices);CHKERRQ(ierr);
1450   }
1451   lrow = row - brstart;
1452 
1453   pvA = &vworkA; pcA = &cworkA; pvB = &vworkB; pcB = &cworkB;
1454   if (!v)   {pvA = 0; pvB = 0;}
1455   if (!idx) {pcA = 0; if (!v) pcB = 0;}
1456   ierr  = (*mat->A->ops->getrow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1457   ierr  = (*mat->B->ops->getrow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1458   nztot = nzA + nzB;
1459 
1460   cmap = mat->garray;
1461   if (v  || idx) {
1462     if (nztot) {
1463       /* Sort by increasing column numbers, assuming A and B already sorted */
1464       PetscInt imark = -1;
1465       if (v) {
1466         *v = v_p = mat->rowvalues;
1467         for (i=0; i<nzB; i++) {
1468           if (cmap[cworkB[i]/bs] < cstart) v_p[i] = vworkB[i];
1469           else break;
1470         }
1471         imark = i;
1472         for (i=0; i<nzA; i++)     v_p[imark+i] = vworkA[i];
1473         for (i=imark; i<nzB; i++) v_p[nzA+i]   = vworkB[i];
1474       }
1475       if (idx) {
1476         *idx = idx_p = mat->rowindices;
1477         if (imark > -1) {
1478           for (i=0; i<imark; i++) {
1479             idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1480           }
1481         } else {
1482           for (i=0; i<nzB; i++) {
1483             if (cmap[cworkB[i]/bs] < cstart) idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1484             else break;
1485           }
1486           imark = i;
1487         }
1488         for (i=0; i<nzA; i++)     idx_p[imark+i] = cstart*bs + cworkA[i];
1489         for (i=imark; i<nzB; i++) idx_p[nzA+i]   = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1490       }
1491     } else {
1492       if (idx) *idx = 0;
1493       if (v)   *v   = 0;
1494     }
1495   }
1496   *nz  = nztot;
1497   ierr = (*mat->A->ops->restorerow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1498   ierr = (*mat->B->ops->restorerow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1499   PetscFunctionReturn(0);
1500 }
1501 
1502 #undef __FUNCT__
1503 #define __FUNCT__ "MatRestoreRow_MPIBAIJ"
1504 PetscErrorCode MatRestoreRow_MPIBAIJ(Mat mat,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1505 {
1506   Mat_MPIBAIJ *baij = (Mat_MPIBAIJ*)mat->data;
1507 
1508   PetscFunctionBegin;
1509   if (!baij->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"MatGetRow not called");
1510   baij->getrowactive = PETSC_FALSE;
1511   PetscFunctionReturn(0);
1512 }
1513 
1514 #undef __FUNCT__
1515 #define __FUNCT__ "MatZeroEntries_MPIBAIJ"
1516 PetscErrorCode MatZeroEntries_MPIBAIJ(Mat A)
1517 {
1518   Mat_MPIBAIJ    *l = (Mat_MPIBAIJ*)A->data;
1519   PetscErrorCode ierr;
1520 
1521   PetscFunctionBegin;
1522   ierr = MatZeroEntries(l->A);CHKERRQ(ierr);
1523   ierr = MatZeroEntries(l->B);CHKERRQ(ierr);
1524   PetscFunctionReturn(0);
1525 }
1526 
1527 #undef __FUNCT__
1528 #define __FUNCT__ "MatGetInfo_MPIBAIJ"
1529 PetscErrorCode MatGetInfo_MPIBAIJ(Mat matin,MatInfoType flag,MatInfo *info)
1530 {
1531   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)matin->data;
1532   Mat            A  = a->A,B = a->B;
1533   PetscErrorCode ierr;
1534   PetscReal      isend[5],irecv[5];
1535 
1536   PetscFunctionBegin;
1537   info->block_size = (PetscReal)matin->rmap->bs;
1538 
1539   ierr = MatGetInfo(A,MAT_LOCAL,info);CHKERRQ(ierr);
1540 
1541   isend[0] = info->nz_used; isend[1] = info->nz_allocated; isend[2] = info->nz_unneeded;
1542   isend[3] = info->memory;  isend[4] = info->mallocs;
1543 
1544   ierr = MatGetInfo(B,MAT_LOCAL,info);CHKERRQ(ierr);
1545 
1546   isend[0] += info->nz_used; isend[1] += info->nz_allocated; isend[2] += info->nz_unneeded;
1547   isend[3] += info->memory;  isend[4] += info->mallocs;
1548 
1549   if (flag == MAT_LOCAL) {
1550     info->nz_used      = isend[0];
1551     info->nz_allocated = isend[1];
1552     info->nz_unneeded  = isend[2];
1553     info->memory       = isend[3];
1554     info->mallocs      = isend[4];
1555   } else if (flag == MAT_GLOBAL_MAX) {
1556     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)matin));CHKERRQ(ierr);
1557 
1558     info->nz_used      = irecv[0];
1559     info->nz_allocated = irecv[1];
1560     info->nz_unneeded  = irecv[2];
1561     info->memory       = irecv[3];
1562     info->mallocs      = irecv[4];
1563   } else if (flag == MAT_GLOBAL_SUM) {
1564     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)matin));CHKERRQ(ierr);
1565 
1566     info->nz_used      = irecv[0];
1567     info->nz_allocated = irecv[1];
1568     info->nz_unneeded  = irecv[2];
1569     info->memory       = irecv[3];
1570     info->mallocs      = irecv[4];
1571   } else SETERRQ1(PetscObjectComm((PetscObject)matin),PETSC_ERR_ARG_WRONG,"Unknown MatInfoType argument %d",(int)flag);
1572   info->fill_ratio_given  = 0; /* no parallel LU/ILU/Cholesky */
1573   info->fill_ratio_needed = 0;
1574   info->factor_mallocs    = 0;
1575   PetscFunctionReturn(0);
1576 }
1577 
1578 #undef __FUNCT__
1579 #define __FUNCT__ "MatSetOption_MPIBAIJ"
1580 PetscErrorCode MatSetOption_MPIBAIJ(Mat A,MatOption op,PetscBool flg)
1581 {
1582   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1583   PetscErrorCode ierr;
1584 
1585   PetscFunctionBegin;
1586   switch (op) {
1587   case MAT_NEW_NONZERO_LOCATIONS:
1588   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1589   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1590   case MAT_KEEP_NONZERO_PATTERN:
1591   case MAT_NEW_NONZERO_LOCATION_ERR:
1592     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1593     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1594     break;
1595   case MAT_ROW_ORIENTED:
1596     a->roworiented = flg;
1597 
1598     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1599     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1600     break;
1601   case MAT_NEW_DIAGONALS:
1602     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1603     break;
1604   case MAT_IGNORE_OFF_PROC_ENTRIES:
1605     a->donotstash = flg;
1606     break;
1607   case MAT_USE_HASH_TABLE:
1608     a->ht_flag = flg;
1609     break;
1610   case MAT_SYMMETRIC:
1611   case MAT_STRUCTURALLY_SYMMETRIC:
1612   case MAT_HERMITIAN:
1613   case MAT_SYMMETRY_ETERNAL:
1614     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1615     break;
1616   default:
1617     SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"unknown option %d",op);
1618   }
1619   PetscFunctionReturn(0);
1620 }
1621 
1622 #undef __FUNCT__
1623 #define __FUNCT__ "MatTranspose_MPIBAIJ"
1624 PetscErrorCode MatTranspose_MPIBAIJ(Mat A,MatReuse reuse,Mat *matout)
1625 {
1626   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)A->data;
1627   Mat_SeqBAIJ    *Aloc;
1628   Mat            B;
1629   PetscErrorCode ierr;
1630   PetscInt       M =A->rmap->N,N=A->cmap->N,*ai,*aj,i,*rvals,j,k,col;
1631   PetscInt       bs=A->rmap->bs,mbs=baij->mbs;
1632   MatScalar      *a;
1633 
1634   PetscFunctionBegin;
1635   if (reuse == MAT_REUSE_MATRIX && A == *matout && M != N) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Square matrix only for in-place");
1636   if (reuse == MAT_INITIAL_MATRIX || *matout == A) {
1637     ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
1638     ierr = MatSetSizes(B,A->cmap->n,A->rmap->n,N,M);CHKERRQ(ierr);
1639     ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
1640     /* Do not know preallocation information, but must set block size */
1641     ierr = MatMPIBAIJSetPreallocation(B,A->rmap->bs,PETSC_DECIDE,NULL,PETSC_DECIDE,NULL);CHKERRQ(ierr);
1642   } else {
1643     B = *matout;
1644   }
1645 
1646   /* copy over the A part */
1647   Aloc = (Mat_SeqBAIJ*)baij->A->data;
1648   ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
1649   ierr = PetscMalloc(bs*sizeof(PetscInt),&rvals);CHKERRQ(ierr);
1650 
1651   for (i=0; i<mbs; i++) {
1652     rvals[0] = bs*(baij->rstartbs + i);
1653     for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
1654     for (j=ai[i]; j<ai[i+1]; j++) {
1655       col = (baij->cstartbs+aj[j])*bs;
1656       for (k=0; k<bs; k++) {
1657         ierr = MatSetValues_MPIBAIJ(B,1,&col,bs,rvals,a,INSERT_VALUES);CHKERRQ(ierr);
1658 
1659         col++; a += bs;
1660       }
1661     }
1662   }
1663   /* copy over the B part */
1664   Aloc = (Mat_SeqBAIJ*)baij->B->data;
1665   ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
1666   for (i=0; i<mbs; i++) {
1667     rvals[0] = bs*(baij->rstartbs + i);
1668     for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
1669     for (j=ai[i]; j<ai[i+1]; j++) {
1670       col = baij->garray[aj[j]]*bs;
1671       for (k=0; k<bs; k++) {
1672         ierr = MatSetValues_MPIBAIJ(B,1,&col,bs,rvals,a,INSERT_VALUES);CHKERRQ(ierr);
1673         col++;
1674         a += bs;
1675       }
1676     }
1677   }
1678   ierr = PetscFree(rvals);CHKERRQ(ierr);
1679   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1680   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1681 
1682   if (reuse == MAT_INITIAL_MATRIX || *matout != A) *matout = B;
1683   else {
1684     ierr = MatHeaderMerge(A,B);CHKERRQ(ierr);
1685   }
1686   PetscFunctionReturn(0);
1687 }
1688 
1689 #undef __FUNCT__
1690 #define __FUNCT__ "MatDiagonalScale_MPIBAIJ"
1691 PetscErrorCode MatDiagonalScale_MPIBAIJ(Mat mat,Vec ll,Vec rr)
1692 {
1693   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
1694   Mat            a     = baij->A,b = baij->B;
1695   PetscErrorCode ierr;
1696   PetscInt       s1,s2,s3;
1697 
1698   PetscFunctionBegin;
1699   ierr = MatGetLocalSize(mat,&s2,&s3);CHKERRQ(ierr);
1700   if (rr) {
1701     ierr = VecGetLocalSize(rr,&s1);CHKERRQ(ierr);
1702     if (s1!=s3) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"right vector non-conforming local size");
1703     /* Overlap communication with computation. */
1704     ierr = VecScatterBegin(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1705   }
1706   if (ll) {
1707     ierr = VecGetLocalSize(ll,&s1);CHKERRQ(ierr);
1708     if (s1!=s2) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"left vector non-conforming local size");
1709     ierr = (*b->ops->diagonalscale)(b,ll,NULL);CHKERRQ(ierr);
1710   }
1711   /* scale  the diagonal block */
1712   ierr = (*a->ops->diagonalscale)(a,ll,rr);CHKERRQ(ierr);
1713 
1714   if (rr) {
1715     /* Do a scatter end and then right scale the off-diagonal block */
1716     ierr = VecScatterEnd(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1717     ierr = (*b->ops->diagonalscale)(b,NULL,baij->lvec);CHKERRQ(ierr);
1718   }
1719   PetscFunctionReturn(0);
1720 }
1721 
1722 #undef __FUNCT__
1723 #define __FUNCT__ "MatZeroRows_MPIBAIJ"
1724 PetscErrorCode MatZeroRows_MPIBAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1725 {
1726   Mat_MPIBAIJ       *l = (Mat_MPIBAIJ*)A->data;
1727   PetscErrorCode    ierr;
1728   PetscMPIInt       imdex,size = l->size,n,rank = l->rank;
1729   PetscInt          i,*owners = A->rmap->range;
1730   PetscInt          *nprocs,j,idx,nsends,row;
1731   PetscInt          nmax,*svalues,*starts,*owner,nrecvs;
1732   PetscInt          *rvalues,tag = ((PetscObject)A)->tag,count,base,slen,*source,lastidx = -1;
1733   PetscInt          *lens,*lrows,*values,rstart_bs=A->rmap->rstart;
1734   MPI_Comm          comm;
1735   MPI_Request       *send_waits,*recv_waits;
1736   MPI_Status        recv_status,*send_status;
1737   const PetscScalar *xx;
1738   PetscScalar       *bb;
1739 #if defined(PETSC_DEBUG)
1740   PetscBool         found = PETSC_FALSE;
1741 #endif
1742 
1743   PetscFunctionBegin;
1744   ierr = PetscObjectGetComm((PetscObject)A,&comm);CHKERRQ(ierr);
1745   /*  first count number of contributors to each processor */
1746   ierr = PetscMalloc(2*size*sizeof(PetscInt),&nprocs);CHKERRQ(ierr);
1747   ierr = PetscMemzero(nprocs,2*size*sizeof(PetscInt));CHKERRQ(ierr);
1748   ierr = PetscMalloc((N+1)*sizeof(PetscInt),&owner);CHKERRQ(ierr);  /* see note*/
1749   j    = 0;
1750   for (i=0; i<N; i++) {
1751     if (lastidx > (idx = rows[i])) j = 0;
1752     lastidx = idx;
1753     for (; j<size; j++) {
1754       if (idx >= owners[j] && idx < owners[j+1]) {
1755         nprocs[2*j]++;
1756         nprocs[2*j+1] = 1;
1757         owner[i]      = j;
1758 #if defined(PETSC_DEBUG)
1759         found = PETSC_TRUE;
1760 #endif
1761         break;
1762       }
1763     }
1764 #if defined(PETSC_DEBUG)
1765     if (!found) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Index out of range");
1766     found = PETSC_FALSE;
1767 #endif
1768   }
1769   nsends = 0;  for (i=0; i<size; i++) nsends += nprocs[2*i+1];
1770 
1771   if (A->nooffproczerorows) {
1772     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");
1773     nrecvs = nsends;
1774     nmax   = N;
1775   } else {
1776     /* inform other processors of number of messages and max length*/
1777     ierr = PetscMaxSum(comm,nprocs,&nmax,&nrecvs);CHKERRQ(ierr);
1778   }
1779 
1780   /* post receives:   */
1781   ierr = PetscMalloc((nrecvs+1)*(nmax+1)*sizeof(PetscInt),&rvalues);CHKERRQ(ierr);
1782   ierr = PetscMalloc((nrecvs+1)*sizeof(MPI_Request),&recv_waits);CHKERRQ(ierr);
1783   for (i=0; i<nrecvs; i++) {
1784     ierr = MPI_Irecv(rvalues+nmax*i,nmax,MPIU_INT,MPI_ANY_SOURCE,tag,comm,recv_waits+i);CHKERRQ(ierr);
1785   }
1786 
1787   /* do sends:
1788      1) starts[i] gives the starting index in svalues for stuff going to
1789      the ith processor
1790   */
1791   ierr      = PetscMalloc((N+1)*sizeof(PetscInt),&svalues);CHKERRQ(ierr);
1792   ierr      = PetscMalloc((nsends+1)*sizeof(MPI_Request),&send_waits);CHKERRQ(ierr);
1793   ierr      = PetscMalloc((size+1)*sizeof(PetscInt),&starts);CHKERRQ(ierr);
1794   starts[0] = 0;
1795   for (i=1; i<size; i++) starts[i] = starts[i-1] + nprocs[2*i-2];
1796   for (i=0; i<N; i++) {
1797     svalues[starts[owner[i]]++] = rows[i];
1798   }
1799 
1800   starts[0] = 0;
1801   for (i=1; i<size+1; i++) starts[i] = starts[i-1] + nprocs[2*i-2];
1802   count = 0;
1803   for (i=0; i<size; i++) {
1804     if (nprocs[2*i+1]) {
1805       ierr = MPI_Isend(svalues+starts[i],nprocs[2*i],MPIU_INT,i,tag,comm,send_waits+count++);CHKERRQ(ierr);
1806     }
1807   }
1808   ierr = PetscFree(starts);CHKERRQ(ierr);
1809 
1810   base = owners[rank];
1811 
1812   /*  wait on receives */
1813   ierr  = PetscMalloc2(nrecvs+1,PetscInt,&lens,nrecvs+1,PetscInt,&source);CHKERRQ(ierr);
1814   count = nrecvs;
1815   slen  = 0;
1816   while (count) {
1817     ierr = MPI_Waitany(nrecvs,recv_waits,&imdex,&recv_status);CHKERRQ(ierr);
1818     /* unpack receives into our local space */
1819     ierr = MPI_Get_count(&recv_status,MPIU_INT,&n);CHKERRQ(ierr);
1820 
1821     source[imdex] = recv_status.MPI_SOURCE;
1822     lens[imdex]   = n;
1823     slen         += n;
1824     count--;
1825   }
1826   ierr = PetscFree(recv_waits);CHKERRQ(ierr);
1827 
1828   /* move the data into the send scatter */
1829   ierr  = PetscMalloc((slen+1)*sizeof(PetscInt),&lrows);CHKERRQ(ierr);
1830   count = 0;
1831   for (i=0; i<nrecvs; i++) {
1832     values = rvalues + i*nmax;
1833     for (j=0; j<lens[i]; j++) {
1834       lrows[count++] = values[j] - base;
1835     }
1836   }
1837   ierr = PetscFree(rvalues);CHKERRQ(ierr);
1838   ierr = PetscFree2(lens,source);CHKERRQ(ierr);
1839   ierr = PetscFree(owner);CHKERRQ(ierr);
1840   ierr = PetscFree(nprocs);CHKERRQ(ierr);
1841 
1842   /* fix right hand side if needed */
1843   if (x && b) {
1844     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
1845     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1846     for (i=0; i<slen; i++) {
1847       bb[lrows[i]] = diag*xx[lrows[i]];
1848     }
1849     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
1850     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1851   }
1852 
1853   /* actually zap the local rows */
1854   /*
1855         Zero the required rows. If the "diagonal block" of the matrix
1856      is square and the user wishes to set the diagonal we use separate
1857      code so that MatSetValues() is not called for each diagonal allocating
1858      new memory, thus calling lots of mallocs and slowing things down.
1859 
1860   */
1861   /* must zero l->B before l->A because the (diag) case below may put values into l->B*/
1862   ierr = MatZeroRows_SeqBAIJ(l->B,slen,lrows,0.0,0,0);CHKERRQ(ierr);
1863   if ((diag != 0.0) && (l->A->rmap->N == l->A->cmap->N)) {
1864     ierr = MatZeroRows_SeqBAIJ(l->A,slen,lrows,diag,0,0);CHKERRQ(ierr);
1865   } else if (diag != 0.0) {
1866     ierr = MatZeroRows_SeqBAIJ(l->A,slen,lrows,0.0,0,0);CHKERRQ(ierr);
1867     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\
1868        MAT_NEW_NONZERO_LOCATIONS,MAT_NEW_NONZERO_LOCATION_ERR,MAT_NEW_NONZERO_ALLOCATION_ERR");
1869     for (i=0; i<slen; i++) {
1870       row  = lrows[i] + rstart_bs;
1871       ierr = MatSetValues(A,1,&row,1,&row,&diag,INSERT_VALUES);CHKERRQ(ierr);
1872     }
1873     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1874     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1875   } else {
1876     ierr = MatZeroRows_SeqBAIJ(l->A,slen,lrows,0.0,0,0);CHKERRQ(ierr);
1877   }
1878 
1879   ierr = PetscFree(lrows);CHKERRQ(ierr);
1880 
1881   /* wait on sends */
1882   if (nsends) {
1883     ierr = PetscMalloc(nsends*sizeof(MPI_Status),&send_status);CHKERRQ(ierr);
1884     ierr = MPI_Waitall(nsends,send_waits,send_status);CHKERRQ(ierr);
1885     ierr = PetscFree(send_status);CHKERRQ(ierr);
1886   }
1887   ierr = PetscFree(send_waits);CHKERRQ(ierr);
1888   ierr = PetscFree(svalues);CHKERRQ(ierr);
1889   PetscFunctionReturn(0);
1890 }
1891 
1892 #undef __FUNCT__
1893 #define __FUNCT__ "MatSetUnfactored_MPIBAIJ"
1894 PetscErrorCode MatSetUnfactored_MPIBAIJ(Mat A)
1895 {
1896   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1897   PetscErrorCode ierr;
1898 
1899   PetscFunctionBegin;
1900   ierr = MatSetUnfactored(a->A);CHKERRQ(ierr);
1901   PetscFunctionReturn(0);
1902 }
1903 
1904 static PetscErrorCode MatDuplicate_MPIBAIJ(Mat,MatDuplicateOption,Mat*);
1905 
1906 #undef __FUNCT__
1907 #define __FUNCT__ "MatEqual_MPIBAIJ"
1908 PetscErrorCode MatEqual_MPIBAIJ(Mat A,Mat B,PetscBool  *flag)
1909 {
1910   Mat_MPIBAIJ    *matB = (Mat_MPIBAIJ*)B->data,*matA = (Mat_MPIBAIJ*)A->data;
1911   Mat            a,b,c,d;
1912   PetscBool      flg;
1913   PetscErrorCode ierr;
1914 
1915   PetscFunctionBegin;
1916   a = matA->A; b = matA->B;
1917   c = matB->A; d = matB->B;
1918 
1919   ierr = MatEqual(a,c,&flg);CHKERRQ(ierr);
1920   if (flg) {
1921     ierr = MatEqual(b,d,&flg);CHKERRQ(ierr);
1922   }
1923   ierr = MPI_Allreduce(&flg,flag,1,MPIU_BOOL,MPI_LAND,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
1924   PetscFunctionReturn(0);
1925 }
1926 
1927 #undef __FUNCT__
1928 #define __FUNCT__ "MatCopy_MPIBAIJ"
1929 PetscErrorCode MatCopy_MPIBAIJ(Mat A,Mat B,MatStructure str)
1930 {
1931   PetscErrorCode ierr;
1932   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1933   Mat_MPIBAIJ    *b = (Mat_MPIBAIJ*)B->data;
1934 
1935   PetscFunctionBegin;
1936   /* If the two matrices don't have the same copy implementation, they aren't compatible for fast copy. */
1937   if ((str != SAME_NONZERO_PATTERN) || (A->ops->copy != B->ops->copy)) {
1938     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
1939   } else {
1940     ierr = MatCopy(a->A,b->A,str);CHKERRQ(ierr);
1941     ierr = MatCopy(a->B,b->B,str);CHKERRQ(ierr);
1942   }
1943   PetscFunctionReturn(0);
1944 }
1945 
1946 #undef __FUNCT__
1947 #define __FUNCT__ "MatSetUp_MPIBAIJ"
1948 PetscErrorCode MatSetUp_MPIBAIJ(Mat A)
1949 {
1950   PetscErrorCode ierr;
1951 
1952   PetscFunctionBegin;
1953   ierr =  MatMPIBAIJSetPreallocation(A,A->rmap->bs,PETSC_DEFAULT,0,PETSC_DEFAULT,0);CHKERRQ(ierr);
1954   PetscFunctionReturn(0);
1955 }
1956 
1957 #undef __FUNCT__
1958 #define __FUNCT__ "MatAXPY_MPIBAIJ"
1959 PetscErrorCode MatAXPY_MPIBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
1960 {
1961   PetscErrorCode ierr;
1962   Mat_MPIBAIJ    *xx=(Mat_MPIBAIJ*)X->data,*yy=(Mat_MPIBAIJ*)Y->data;
1963   PetscBLASInt   bnz,one=1;
1964   Mat_SeqBAIJ    *x,*y;
1965 
1966   PetscFunctionBegin;
1967   if (str == SAME_NONZERO_PATTERN) {
1968     PetscScalar alpha = a;
1969     x    = (Mat_SeqBAIJ*)xx->A->data;
1970     y    = (Mat_SeqBAIJ*)yy->A->data;
1971     ierr = PetscBLASIntCast(x->nz,&bnz);CHKERRQ(ierr);
1972     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
1973     x    = (Mat_SeqBAIJ*)xx->B->data;
1974     y    = (Mat_SeqBAIJ*)yy->B->data;
1975     ierr = PetscBLASIntCast(x->nz,&bnz);CHKERRQ(ierr);
1976     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
1977   } else {
1978     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
1979   }
1980   PetscFunctionReturn(0);
1981 }
1982 
1983 #undef __FUNCT__
1984 #define __FUNCT__ "MatRealPart_MPIBAIJ"
1985 PetscErrorCode MatRealPart_MPIBAIJ(Mat A)
1986 {
1987   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1988   PetscErrorCode ierr;
1989 
1990   PetscFunctionBegin;
1991   ierr = MatRealPart(a->A);CHKERRQ(ierr);
1992   ierr = MatRealPart(a->B);CHKERRQ(ierr);
1993   PetscFunctionReturn(0);
1994 }
1995 
1996 #undef __FUNCT__
1997 #define __FUNCT__ "MatImaginaryPart_MPIBAIJ"
1998 PetscErrorCode MatImaginaryPart_MPIBAIJ(Mat A)
1999 {
2000   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
2001   PetscErrorCode ierr;
2002 
2003   PetscFunctionBegin;
2004   ierr = MatImaginaryPart(a->A);CHKERRQ(ierr);
2005   ierr = MatImaginaryPart(a->B);CHKERRQ(ierr);
2006   PetscFunctionReturn(0);
2007 }
2008 
2009 #undef __FUNCT__
2010 #define __FUNCT__ "MatGetSubMatrix_MPIBAIJ"
2011 PetscErrorCode MatGetSubMatrix_MPIBAIJ(Mat mat,IS isrow,IS iscol,MatReuse call,Mat *newmat)
2012 {
2013   PetscErrorCode ierr;
2014   IS             iscol_local;
2015   PetscInt       csize;
2016 
2017   PetscFunctionBegin;
2018   ierr = ISGetLocalSize(iscol,&csize);CHKERRQ(ierr);
2019   if (call == MAT_REUSE_MATRIX) {
2020     ierr = PetscObjectQuery((PetscObject)*newmat,"ISAllGather",(PetscObject*)&iscol_local);CHKERRQ(ierr);
2021     if (!iscol_local) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Submatrix passed in was not used before, cannot reuse");
2022   } else {
2023     ierr = ISAllGather(iscol,&iscol_local);CHKERRQ(ierr);
2024   }
2025   ierr = MatGetSubMatrix_MPIBAIJ_Private(mat,isrow,iscol_local,csize,call,newmat);CHKERRQ(ierr);
2026   if (call == MAT_INITIAL_MATRIX) {
2027     ierr = PetscObjectCompose((PetscObject)*newmat,"ISAllGather",(PetscObject)iscol_local);CHKERRQ(ierr);
2028     ierr = ISDestroy(&iscol_local);CHKERRQ(ierr);
2029   }
2030   PetscFunctionReturn(0);
2031 }
2032 extern PetscErrorCode MatGetSubMatrices_MPIBAIJ_local(Mat,PetscInt,const IS[],const IS[],MatReuse,PetscBool*,PetscBool*,Mat*);
2033 #undef __FUNCT__
2034 #define __FUNCT__ "MatGetSubMatrix_MPIBAIJ_Private"
2035 /*
2036   Not great since it makes two copies of the submatrix, first an SeqBAIJ
2037   in local and then by concatenating the local matrices the end result.
2038   Writing it directly would be much like MatGetSubMatrices_MPIBAIJ()
2039 */
2040 PetscErrorCode MatGetSubMatrix_MPIBAIJ_Private(Mat mat,IS isrow,IS iscol,PetscInt csize,MatReuse call,Mat *newmat)
2041 {
2042   PetscErrorCode ierr;
2043   PetscMPIInt    rank,size;
2044   PetscInt       i,m,n,rstart,row,rend,nz,*cwork,j,bs;
2045   PetscInt       *ii,*jj,nlocal,*dlens,*olens,dlen,olen,jend,mglobal,ncol,nrow;
2046   Mat            M,Mreuse;
2047   MatScalar      *vwork,*aa;
2048   MPI_Comm       comm;
2049   IS             isrow_new, iscol_new;
2050   PetscBool      idflag,allrows, allcols;
2051   Mat_SeqBAIJ    *aij;
2052 
2053   PetscFunctionBegin;
2054   ierr = PetscObjectGetComm((PetscObject)mat,&comm);CHKERRQ(ierr);
2055   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
2056   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2057   /* The compression and expansion should be avoided. Doesn't point
2058      out errors, might change the indices, hence buggey */
2059   ierr = ISCompressIndicesGeneral(mat->rmap->N,mat->rmap->n,mat->rmap->bs,1,&isrow,&isrow_new);CHKERRQ(ierr);
2060   ierr = ISCompressIndicesGeneral(mat->cmap->N,mat->cmap->n,mat->cmap->bs,1,&iscol,&iscol_new);CHKERRQ(ierr);
2061 
2062   /* Check for special case: each processor gets entire matrix columns */
2063   ierr = ISIdentity(iscol,&idflag);CHKERRQ(ierr);
2064   ierr = ISGetLocalSize(iscol,&ncol);CHKERRQ(ierr);
2065   if (idflag && ncol == mat->cmap->N) allcols = PETSC_TRUE;
2066   else allcols = PETSC_FALSE;
2067 
2068   ierr = ISIdentity(isrow,&idflag);CHKERRQ(ierr);
2069   ierr = ISGetLocalSize(isrow,&nrow);CHKERRQ(ierr);
2070   if (idflag && nrow == mat->rmap->N) allrows = PETSC_TRUE;
2071   else allrows = PETSC_FALSE;
2072 
2073   if (call ==  MAT_REUSE_MATRIX) {
2074     ierr = PetscObjectQuery((PetscObject)*newmat,"SubMatrix",(PetscObject*)&Mreuse);CHKERRQ(ierr);
2075     if (!Mreuse) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Submatrix passed in was not used before, cannot reuse");
2076     ierr = MatGetSubMatrices_MPIBAIJ_local(mat,1,&isrow_new,&iscol_new,MAT_REUSE_MATRIX,&allrows,&allcols,&Mreuse);CHKERRQ(ierr);
2077   } else {
2078     ierr = MatGetSubMatrices_MPIBAIJ_local(mat,1,&isrow_new,&iscol_new,MAT_INITIAL_MATRIX,&allrows,&allcols,&Mreuse);CHKERRQ(ierr);
2079   }
2080   ierr = ISDestroy(&isrow_new);CHKERRQ(ierr);
2081   ierr = ISDestroy(&iscol_new);CHKERRQ(ierr);
2082   /*
2083       m - number of local rows
2084       n - number of columns (same on all processors)
2085       rstart - first row in new global matrix generated
2086   */
2087   ierr = MatGetBlockSize(mat,&bs);CHKERRQ(ierr);
2088   ierr = MatGetSize(Mreuse,&m,&n);CHKERRQ(ierr);
2089   m    = m/bs;
2090   n    = n/bs;
2091 
2092   if (call == MAT_INITIAL_MATRIX) {
2093     aij = (Mat_SeqBAIJ*)(Mreuse)->data;
2094     ii  = aij->i;
2095     jj  = aij->j;
2096 
2097     /*
2098         Determine the number of non-zeros in the diagonal and off-diagonal
2099         portions of the matrix in order to do correct preallocation
2100     */
2101 
2102     /* first get start and end of "diagonal" columns */
2103     if (csize == PETSC_DECIDE) {
2104       ierr = ISGetSize(isrow,&mglobal);CHKERRQ(ierr);
2105       if (mglobal == n*bs) { /* square matrix */
2106         nlocal = m;
2107       } else {
2108         nlocal = n/size + ((n % size) > rank);
2109       }
2110     } else {
2111       nlocal = csize/bs;
2112     }
2113     ierr   = MPI_Scan(&nlocal,&rend,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
2114     rstart = rend - nlocal;
2115     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);
2116 
2117     /* next, compute all the lengths */
2118     ierr  = PetscMalloc2(m+1,PetscInt,&dlens,m+1,PetscInt,&olens);CHKERRQ(ierr);
2119     for (i=0; i<m; i++) {
2120       jend = ii[i+1] - ii[i];
2121       olen = 0;
2122       dlen = 0;
2123       for (j=0; j<jend; j++) {
2124         if (*jj < rstart || *jj >= rend) olen++;
2125         else dlen++;
2126         jj++;
2127       }
2128       olens[i] = olen;
2129       dlens[i] = dlen;
2130     }
2131     ierr = MatCreate(comm,&M);CHKERRQ(ierr);
2132     ierr = MatSetSizes(M,bs*m,bs*nlocal,PETSC_DECIDE,bs*n);CHKERRQ(ierr);
2133     ierr = MatSetType(M,((PetscObject)mat)->type_name);CHKERRQ(ierr);
2134     ierr = MatMPIBAIJSetPreallocation(M,bs,0,dlens,0,olens);CHKERRQ(ierr);
2135     ierr = PetscFree2(dlens,olens);CHKERRQ(ierr);
2136   } else {
2137     PetscInt ml,nl;
2138 
2139     M    = *newmat;
2140     ierr = MatGetLocalSize(M,&ml,&nl);CHKERRQ(ierr);
2141     if (ml != m) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Previous matrix must be same size/layout as request");
2142     ierr = MatZeroEntries(M);CHKERRQ(ierr);
2143     /*
2144          The next two lines are needed so we may call MatSetValues_MPIAIJ() below directly,
2145        rather than the slower MatSetValues().
2146     */
2147     M->was_assembled = PETSC_TRUE;
2148     M->assembled     = PETSC_FALSE;
2149   }
2150   ierr = MatSetOption(M,MAT_ROW_ORIENTED,PETSC_FALSE);CHKERRQ(ierr);
2151   ierr = MatGetOwnershipRange(M,&rstart,&rend);CHKERRQ(ierr);
2152   aij  = (Mat_SeqBAIJ*)(Mreuse)->data;
2153   ii   = aij->i;
2154   jj   = aij->j;
2155   aa   = aij->a;
2156   for (i=0; i<m; i++) {
2157     row   = rstart/bs + i;
2158     nz    = ii[i+1] - ii[i];
2159     cwork = jj;     jj += nz;
2160     vwork = aa;     aa += nz*bs*bs;
2161     ierr  = MatSetValuesBlocked_MPIBAIJ(M,1,&row,nz,cwork,vwork,INSERT_VALUES);CHKERRQ(ierr);
2162   }
2163 
2164   ierr    = MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2165   ierr    = MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2166   *newmat = M;
2167 
2168   /* save submatrix used in processor for next request */
2169   if (call ==  MAT_INITIAL_MATRIX) {
2170     ierr = PetscObjectCompose((PetscObject)M,"SubMatrix",(PetscObject)Mreuse);CHKERRQ(ierr);
2171     ierr = PetscObjectDereference((PetscObject)Mreuse);CHKERRQ(ierr);
2172   }
2173   PetscFunctionReturn(0);
2174 }
2175 
2176 #undef __FUNCT__
2177 #define __FUNCT__ "MatPermute_MPIBAIJ"
2178 PetscErrorCode MatPermute_MPIBAIJ(Mat A,IS rowp,IS colp,Mat *B)
2179 {
2180   MPI_Comm       comm,pcomm;
2181   PetscInt       clocal_size,nrows;
2182   const PetscInt *rows;
2183   PetscMPIInt    size;
2184   IS             crowp,lcolp;
2185   PetscErrorCode ierr;
2186 
2187   PetscFunctionBegin;
2188   ierr = PetscObjectGetComm((PetscObject)A,&comm);CHKERRQ(ierr);
2189   /* make a collective version of 'rowp' */
2190   ierr = PetscObjectGetComm((PetscObject)rowp,&pcomm);CHKERRQ(ierr);
2191   if (pcomm==comm) {
2192     crowp = rowp;
2193   } else {
2194     ierr = ISGetSize(rowp,&nrows);CHKERRQ(ierr);
2195     ierr = ISGetIndices(rowp,&rows);CHKERRQ(ierr);
2196     ierr = ISCreateGeneral(comm,nrows,rows,PETSC_COPY_VALUES,&crowp);CHKERRQ(ierr);
2197     ierr = ISRestoreIndices(rowp,&rows);CHKERRQ(ierr);
2198   }
2199   ierr = ISSetPermutation(crowp);CHKERRQ(ierr);
2200   /* make a local version of 'colp' */
2201   ierr = PetscObjectGetComm((PetscObject)colp,&pcomm);CHKERRQ(ierr);
2202   ierr = MPI_Comm_size(pcomm,&size);CHKERRQ(ierr);
2203   if (size==1) {
2204     lcolp = colp;
2205   } else {
2206     ierr = ISAllGather(colp,&lcolp);CHKERRQ(ierr);
2207   }
2208   ierr = ISSetPermutation(lcolp);CHKERRQ(ierr);
2209   /* now we just get the submatrix */
2210   ierr = MatGetLocalSize(A,PETSC_NULL,&clocal_size);CHKERRQ(ierr);
2211   ierr = MatGetSubMatrix_MPIBAIJ_Private(A,crowp,lcolp,clocal_size,MAT_INITIAL_MATRIX,B);CHKERRQ(ierr);
2212   /* clean up */
2213   if (pcomm!=comm) {
2214     ierr = ISDestroy(&crowp);CHKERRQ(ierr);
2215   }
2216   if (size>1) {
2217     ierr = ISDestroy(&lcolp);CHKERRQ(ierr);
2218   }
2219   PetscFunctionReturn(0);
2220 }
2221 
2222 #undef __FUNCT__
2223 #define __FUNCT__ "MatGetGhosts_MPIBAIJ"
2224 PetscErrorCode  MatGetGhosts_MPIBAIJ(Mat mat,PetscInt *nghosts,const PetscInt *ghosts[])
2225 {
2226   Mat_MPIBAIJ *baij = (Mat_MPIBAIJ*) mat->data;
2227   Mat_SeqBAIJ *B    = (Mat_SeqBAIJ*)baij->B->data;
2228 
2229   PetscFunctionBegin;
2230   if (nghosts) *nghosts = B->nbs;
2231   if (ghosts) *ghosts = baij->garray;
2232   PetscFunctionReturn(0);
2233 }
2234 
2235 extern PetscErrorCode MatCreateColmap_MPIBAIJ_Private(Mat);
2236 
2237 #undef __FUNCT__
2238 #define __FUNCT__ "MatFDColoringCreate_MPIBAIJ"
2239 /*
2240     This routine is almost identical to MatFDColoringCreate_MPIBAIJ()!
2241 */
2242 PetscErrorCode MatFDColoringCreate_MPIBAIJ(Mat mat,ISColoring iscoloring,MatFDColoring c)
2243 {
2244   Mat_MPIBAIJ            *baij = (Mat_MPIBAIJ*)mat->data;
2245   PetscErrorCode         ierr;
2246   PetscMPIInt            size,*ncolsonproc,*disp,nn;
2247   PetscInt               bs,i,n,nrows,j,k,m,ncols,col;
2248   const PetscInt         *is,*rows = 0,*A_ci,*A_cj,*B_ci,*B_cj,*ltog;
2249   PetscInt               nis = iscoloring->n,nctot,*cols;
2250   PetscInt               *rowhit,M,cstart,cend,colb;
2251   PetscInt               *columnsforrow,l;
2252   IS                     *isa;
2253   PetscBool              done,flg;
2254   ISLocalToGlobalMapping map = mat->cmap->bmapping;
2255   PetscInt               ctype=c->ctype;
2256 
2257   PetscFunctionBegin;
2258   if (!mat->assembled) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Matrix must be assembled first; MatAssemblyBegin/End();");
2259   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");
2260 
2261   if (map) {ierr = ISLocalToGlobalMappingGetIndices(map,&ltog);CHKERRQ(ierr);}
2262   else     ltog = NULL;
2263   ierr = ISColoringGetIS(iscoloring,PETSC_IGNORE,&isa);CHKERRQ(ierr);
2264   ierr = MatGetBlockSize(mat,&bs);CHKERRQ(ierr);
2265 
2266   M         = mat->rmap->n/bs;
2267   cstart    = mat->cmap->rstart/bs;
2268   cend      = mat->cmap->rend/bs;
2269   c->M      = mat->rmap->N/bs;         /* set the global rows and columns and local rows */
2270   c->N      = mat->cmap->N/bs;
2271   c->m      = mat->rmap->n/bs;
2272   c->rstart = mat->rmap->rstart/bs;
2273 
2274   c->ncolors = nis;
2275   ierr       = PetscMalloc(nis*sizeof(PetscInt),&c->ncolumns);CHKERRQ(ierr);
2276   ierr       = PetscMalloc(nis*sizeof(PetscInt*),&c->columns);CHKERRQ(ierr);
2277   ierr       = PetscMalloc(nis*sizeof(PetscInt),&c->nrows);CHKERRQ(ierr);
2278   ierr       = PetscMalloc(nis*sizeof(PetscInt*),&c->rows);CHKERRQ(ierr);
2279   ierr       = PetscMalloc(nis*sizeof(PetscInt*),&c->columnsforrow);CHKERRQ(ierr);
2280   ierr       = PetscLogObjectMemory((PetscObject)c,5*nis*sizeof(PetscInt));CHKERRQ(ierr);
2281 
2282   /* Allow access to data structures of local part of matrix */
2283   if (!baij->colmap) {
2284     ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
2285   }
2286   ierr = MatGetColumnIJ(baij->A,0,PETSC_FALSE,PETSC_FALSE,&ncols,&A_ci,&A_cj,&done);CHKERRQ(ierr);
2287   ierr = MatGetColumnIJ(baij->B,0,PETSC_FALSE,PETSC_FALSE,&ncols,&B_ci,&B_cj,&done);CHKERRQ(ierr);
2288 
2289   ierr = PetscMalloc((M+1)*sizeof(PetscInt),&rowhit);CHKERRQ(ierr);
2290   ierr = PetscMalloc((M+1)*sizeof(PetscInt),&columnsforrow);CHKERRQ(ierr);
2291 
2292   for (i=0; i<nis; i++) {
2293     ierr = ISGetLocalSize(isa[i],&n);CHKERRQ(ierr);
2294     ierr = ISGetIndices(isa[i],&is);CHKERRQ(ierr);
2295 
2296     c->ncolumns[i] = n;
2297     if (n) {
2298       ierr = PetscMalloc(n*sizeof(PetscInt),&c->columns[i]);CHKERRQ(ierr);
2299       ierr = PetscLogObjectMemory((PetscObject)c,n*sizeof(PetscInt));CHKERRQ(ierr);
2300       ierr = PetscMemcpy(c->columns[i],is,n*sizeof(PetscInt));CHKERRQ(ierr);
2301     } else {
2302       c->columns[i] = 0;
2303     }
2304 
2305     if (ctype == IS_COLORING_GLOBAL) {
2306       /* Determine the total (parallel) number of columns of this color */
2307       ierr = MPI_Comm_size(PetscObjectComm((PetscObject)mat),&size);CHKERRQ(ierr);
2308       ierr = PetscMalloc2(size,PetscMPIInt,&ncolsonproc,size,PetscMPIInt,&disp);CHKERRQ(ierr);
2309 
2310       ierr  = PetscMPIIntCast(n,&nn);CHKERRQ(ierr);
2311       ierr  = MPI_Allgather(&nn,1,MPI_INT,ncolsonproc,1,MPI_INT,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
2312       nctot = 0; for (j=0; j<size; j++) nctot += ncolsonproc[j];
2313       if (!nctot) {
2314         ierr = PetscInfo(mat,"Coloring of matrix has some unneeded colors with no corresponding rows\n");CHKERRQ(ierr);
2315       }
2316 
2317       disp[0] = 0;
2318       for (j=1; j<size; j++) {
2319         disp[j] = disp[j-1] + ncolsonproc[j-1];
2320       }
2321 
2322       /* Get complete list of columns for color on each processor */
2323       ierr = PetscMalloc((nctot+1)*sizeof(PetscInt),&cols);CHKERRQ(ierr);
2324       ierr = MPI_Allgatherv((void*)is,n,MPIU_INT,cols,ncolsonproc,disp,MPIU_INT,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
2325       ierr = PetscFree2(ncolsonproc,disp);CHKERRQ(ierr);
2326     } else if (ctype == IS_COLORING_GHOSTED) {
2327       /* Determine local number of columns of this color on this process, including ghost points */
2328       nctot = n;
2329       ierr  = PetscMalloc((nctot+1)*sizeof(PetscInt),&cols);CHKERRQ(ierr);
2330       ierr  = PetscMemcpy(cols,is,n*sizeof(PetscInt));CHKERRQ(ierr);
2331     } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not provided for this MatFDColoring type");
2332 
2333     /*
2334        Mark all rows affect by these columns
2335     */
2336     /* Temporary option to allow for debugging/testing */
2337     flg  = PETSC_FALSE;
2338     ierr = PetscOptionsGetBool(NULL,"-matfdcoloring_slow",&flg,NULL);CHKERRQ(ierr);
2339     if (!flg) { /*-----------------------------------------------------------------------------*/
2340       /* crude, fast version */
2341       ierr = PetscMemzero(rowhit,M*sizeof(PetscInt));CHKERRQ(ierr);
2342       /* loop over columns*/
2343       for (j=0; j<nctot; j++) {
2344         if (ctype == IS_COLORING_GHOSTED) {
2345           col = ltog[cols[j]];
2346         } else {
2347           col = cols[j];
2348         }
2349         if (col >= cstart && col < cend) {
2350           /* column is in diagonal block of matrix */
2351           rows = A_cj + A_ci[col-cstart];
2352           m    = A_ci[col-cstart+1] - A_ci[col-cstart];
2353         } else {
2354 #if defined(PETSC_USE_CTABLE)
2355           ierr = PetscTableFind(baij->colmap,col+1,&colb);CHKERRQ(ierr);
2356           colb--;
2357 #else
2358           colb = baij->colmap[col] - 1;
2359 #endif
2360           if (colb == -1) {
2361             m = 0;
2362           } else {
2363             colb = colb/bs;
2364             rows = B_cj + B_ci[colb];
2365             m    = B_ci[colb+1] - B_ci[colb];
2366           }
2367         }
2368         /* loop over columns marking them in rowhit */
2369         for (k=0; k<m; k++) {
2370           rowhit[*rows++] = col + 1;
2371         }
2372       }
2373 
2374       /* count the number of hits */
2375       nrows = 0;
2376       for (j=0; j<M; j++) {
2377         if (rowhit[j]) nrows++;
2378       }
2379       c->nrows[i] = nrows;
2380       ierr        = PetscMalloc((nrows+1)*sizeof(PetscInt),&c->rows[i]);CHKERRQ(ierr);
2381       ierr        = PetscMalloc((nrows+1)*sizeof(PetscInt),&c->columnsforrow[i]);CHKERRQ(ierr);
2382       ierr        = PetscLogObjectMemory((PetscObject)c,2*(nrows+1)*sizeof(PetscInt));CHKERRQ(ierr);
2383       nrows       = 0;
2384       for (j=0; j<M; j++) {
2385         if (rowhit[j]) {
2386           c->rows[i][nrows]          = j;
2387           c->columnsforrow[i][nrows] = rowhit[j] - 1;
2388           nrows++;
2389         }
2390       }
2391     } else { /*-------------------------------------------------------------------------------*/
2392       /* slow version, using rowhit as a linked list */
2393       PetscInt currentcol,fm,mfm;
2394       rowhit[M] = M;
2395       nrows     = 0;
2396       /* loop over columns*/
2397       for (j=0; j<nctot; j++) {
2398         if (ctype == IS_COLORING_GHOSTED) {
2399           col = ltog[cols[j]];
2400         } else {
2401           col = cols[j];
2402         }
2403         if (col >= cstart && col < cend) {
2404           /* column is in diagonal block of matrix */
2405           rows = A_cj + A_ci[col-cstart];
2406           m    = A_ci[col-cstart+1] - A_ci[col-cstart];
2407         } else {
2408 #if defined(PETSC_USE_CTABLE)
2409           ierr = PetscTableFind(baij->colmap,col+1,&colb);CHKERRQ(ierr);
2410           colb--;
2411 #else
2412           colb = baij->colmap[col] - 1;
2413 #endif
2414           if (colb == -1) {
2415             m = 0;
2416           } else {
2417             colb = colb/bs;
2418             rows = B_cj + B_ci[colb];
2419             m    = B_ci[colb+1] - B_ci[colb];
2420           }
2421         }
2422 
2423         /* loop over columns marking them in rowhit */
2424         fm = M;    /* fm points to first entry in linked list */
2425         for (k=0; k<m; k++) {
2426           currentcol = *rows++;
2427           /* is it already in the list? */
2428           do {
2429             mfm = fm;
2430             fm  = rowhit[fm];
2431           } while (fm < currentcol);
2432           /* not in list so add it */
2433           if (fm != currentcol) {
2434             nrows++;
2435             columnsforrow[currentcol] = col;
2436             /* next three lines insert new entry into linked list */
2437             rowhit[mfm]        = currentcol;
2438             rowhit[currentcol] = fm;
2439             fm                 = currentcol;
2440             /* fm points to present position in list since we know the columns are sorted */
2441           } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Invalid coloring of matrix detected");
2442         }
2443       }
2444       c->nrows[i] = nrows;
2445       ierr        = PetscMalloc((nrows+1)*sizeof(PetscInt),&c->rows[i]);CHKERRQ(ierr);
2446       ierr        = PetscMalloc((nrows+1)*sizeof(PetscInt),&c->columnsforrow[i]);CHKERRQ(ierr);
2447       ierr        = PetscLogObjectMemory((PetscObject)c,(nrows+1)*sizeof(PetscInt));CHKERRQ(ierr);
2448       /* now store the linked list of rows into c->rows[i] */
2449       nrows = 0;
2450       fm    = rowhit[M];
2451       do {
2452         c->rows[i][nrows]            = fm;
2453         c->columnsforrow[i][nrows++] = columnsforrow[fm];
2454         fm                           = rowhit[fm];
2455       } while (fm < M);
2456     } /* ---------------------------------------------------------------------------------------*/
2457     ierr = PetscFree(cols);CHKERRQ(ierr);
2458   }
2459 
2460   /* Optimize by adding the vscale, and scaleforrow[][] fields */
2461   /*
2462        vscale will contain the "diagonal" on processor scalings followed by the off processor
2463   */
2464   if (ctype == IS_COLORING_GLOBAL) {
2465     PetscInt *garray;
2466     ierr = PetscMalloc(baij->B->cmap->n*sizeof(PetscInt),&garray);CHKERRQ(ierr);
2467     for (i=0; i<baij->B->cmap->n/bs; i++) {
2468       for (j=0; j<bs; j++) {
2469         garray[i*bs+j] = bs*baij->garray[i]+j;
2470       }
2471     }
2472     ierr = VecCreateGhost(PetscObjectComm((PetscObject)mat),baij->A->rmap->n,PETSC_DETERMINE,baij->B->cmap->n,garray,&c->vscale);CHKERRQ(ierr);
2473     ierr = PetscFree(garray);CHKERRQ(ierr);
2474     ierr = PetscMalloc(c->ncolors*sizeof(PetscInt*),&c->vscaleforrow);CHKERRQ(ierr);
2475     for (k=0; k<c->ncolors; k++) {
2476       ierr = PetscMalloc((c->nrows[k]+1)*sizeof(PetscInt),&c->vscaleforrow[k]);CHKERRQ(ierr);
2477       for (l=0; l<c->nrows[k]; l++) {
2478         col = c->columnsforrow[k][l];
2479         if (col >= cstart && col < cend) {
2480           /* column is in diagonal block of matrix */
2481           colb = col - cstart;
2482         } else {
2483           /* column  is in "off-processor" part */
2484 #if defined(PETSC_USE_CTABLE)
2485           ierr = PetscTableFind(baij->colmap,col+1,&colb);CHKERRQ(ierr);
2486           colb--;
2487 #else
2488           colb = baij->colmap[col] - 1;
2489 #endif
2490           colb  = colb/bs;
2491           colb += cend - cstart;
2492         }
2493         c->vscaleforrow[k][l] = colb;
2494       }
2495     }
2496   } else if (ctype == IS_COLORING_GHOSTED) {
2497     /* Get gtol mapping */
2498     PetscInt N = mat->cmap->N,nlocal,*gtol;
2499     ierr = PetscMalloc((N+1)*sizeof(PetscInt),&gtol);CHKERRQ(ierr);
2500     for (i=0; i<N; i++) gtol[i] = -1;
2501     ierr = ISLocalToGlobalMappingGetSize(map,&nlocal);CHKERRQ(ierr);
2502     for (i=0; i<nlocal; i++) gtol[ltog[i]] = i;
2503 
2504     c->vscale = 0; /* will be created in MatFDColoringApply() */
2505     ierr      = PetscMalloc(c->ncolors*sizeof(PetscInt*),&c->vscaleforrow);CHKERRQ(ierr);
2506     for (k=0; k<c->ncolors; k++) {
2507       ierr = PetscMalloc((c->nrows[k]+1)*sizeof(PetscInt),&c->vscaleforrow[k]);CHKERRQ(ierr);
2508       for (l=0; l<c->nrows[k]; l++) {
2509         col = c->columnsforrow[k][l];      /* global column index */
2510 
2511         c->vscaleforrow[k][l] = gtol[col]; /* local column index */
2512       }
2513     }
2514     ierr = PetscFree(gtol);CHKERRQ(ierr);
2515   }
2516   ierr = ISColoringRestoreIS(iscoloring,&isa);CHKERRQ(ierr);
2517 
2518   ierr = PetscFree(rowhit);CHKERRQ(ierr);
2519   ierr = PetscFree(columnsforrow);CHKERRQ(ierr);
2520   ierr = MatRestoreColumnIJ(baij->A,0,PETSC_FALSE,PETSC_FALSE,&ncols,&A_ci,&A_cj,&done);CHKERRQ(ierr);
2521   ierr = MatRestoreColumnIJ(baij->B,0,PETSC_FALSE,PETSC_FALSE,&ncols,&B_ci,&B_cj,&done);CHKERRQ(ierr);
2522   if (map) {ierr = ISLocalToGlobalMappingRestoreIndices(map,&ltog);CHKERRQ(ierr);}
2523   PetscFunctionReturn(0);
2524 }
2525 
2526 #undef __FUNCT__
2527 #define __FUNCT__ "MatGetSeqNonzeroStructure_MPIBAIJ"
2528 PetscErrorCode MatGetSeqNonzeroStructure_MPIBAIJ(Mat A,Mat *newmat)
2529 {
2530   Mat            B;
2531   Mat_MPIBAIJ    *a  = (Mat_MPIBAIJ*)A->data;
2532   Mat_SeqBAIJ    *ad = (Mat_SeqBAIJ*)a->A->data,*bd = (Mat_SeqBAIJ*)a->B->data;
2533   Mat_SeqAIJ     *b;
2534   PetscErrorCode ierr;
2535   PetscMPIInt    size,rank,*recvcounts = 0,*displs = 0;
2536   PetscInt       sendcount,i,*rstarts = A->rmap->range,n,cnt,j,bs = A->rmap->bs;
2537   PetscInt       m,*garray = a->garray,*lens,*jsendbuf,*a_jsendbuf,*b_jsendbuf;
2538 
2539   PetscFunctionBegin;
2540   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&size);CHKERRQ(ierr);
2541   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A),&rank);CHKERRQ(ierr);
2542 
2543   /* ----------------------------------------------------------------
2544      Tell every processor the number of nonzeros per row
2545   */
2546   ierr = PetscMalloc((A->rmap->N/bs)*sizeof(PetscInt),&lens);CHKERRQ(ierr);
2547   for (i=A->rmap->rstart/bs; i<A->rmap->rend/bs; i++) {
2548     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];
2549   }
2550   sendcount = A->rmap->rend/bs - A->rmap->rstart/bs;
2551   ierr      = PetscMalloc(2*size*sizeof(PetscMPIInt),&recvcounts);CHKERRQ(ierr);
2552   displs    = recvcounts + size;
2553   for (i=0; i<size; i++) {
2554     recvcounts[i] = A->rmap->range[i+1]/bs - A->rmap->range[i]/bs;
2555     displs[i]     = A->rmap->range[i]/bs;
2556   }
2557 #if defined(PETSC_HAVE_MPI_IN_PLACE)
2558   ierr = MPI_Allgatherv(MPI_IN_PLACE,0,MPI_DATATYPE_NULL,lens,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2559 #else
2560   ierr = MPI_Allgatherv(lens+A->rmap->rstart/bs,sendcount,MPIU_INT,lens,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2561 #endif
2562   /* ---------------------------------------------------------------
2563      Create the sequential matrix of the same type as the local block diagonal
2564   */
2565   ierr = MatCreate(PETSC_COMM_SELF,&B);CHKERRQ(ierr);
2566   ierr = MatSetSizes(B,A->rmap->N/bs,A->cmap->N/bs,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
2567   ierr = MatSetType(B,MATSEQAIJ);CHKERRQ(ierr);
2568   ierr = MatSeqAIJSetPreallocation(B,0,lens);CHKERRQ(ierr);
2569   b    = (Mat_SeqAIJ*)B->data;
2570 
2571   /*--------------------------------------------------------------------
2572     Copy my part of matrix column indices over
2573   */
2574   sendcount  = ad->nz + bd->nz;
2575   jsendbuf   = b->j + b->i[rstarts[rank]/bs];
2576   a_jsendbuf = ad->j;
2577   b_jsendbuf = bd->j;
2578   n          = A->rmap->rend/bs - A->rmap->rstart/bs;
2579   cnt        = 0;
2580   for (i=0; i<n; i++) {
2581 
2582     /* put in lower diagonal portion */
2583     m = bd->i[i+1] - bd->i[i];
2584     while (m > 0) {
2585       /* is it above diagonal (in bd (compressed) numbering) */
2586       if (garray[*b_jsendbuf] > A->rmap->rstart/bs + i) break;
2587       jsendbuf[cnt++] = garray[*b_jsendbuf++];
2588       m--;
2589     }
2590 
2591     /* put in diagonal portion */
2592     for (j=ad->i[i]; j<ad->i[i+1]; j++) {
2593       jsendbuf[cnt++] = A->rmap->rstart/bs + *a_jsendbuf++;
2594     }
2595 
2596     /* put in upper diagonal portion */
2597     while (m-- > 0) {
2598       jsendbuf[cnt++] = garray[*b_jsendbuf++];
2599     }
2600   }
2601   if (cnt != sendcount) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Corrupted PETSc matrix: nz given %D actual nz %D",sendcount,cnt);
2602 
2603   /*--------------------------------------------------------------------
2604     Gather all column indices to all processors
2605   */
2606   for (i=0; i<size; i++) {
2607     recvcounts[i] = 0;
2608     for (j=A->rmap->range[i]/bs; j<A->rmap->range[i+1]/bs; j++) {
2609       recvcounts[i] += lens[j];
2610     }
2611   }
2612   displs[0] = 0;
2613   for (i=1; i<size; i++) {
2614     displs[i] = displs[i-1] + recvcounts[i-1];
2615   }
2616 #if defined(PETSC_HAVE_MPI_IN_PLACE)
2617   ierr = MPI_Allgatherv(MPI_IN_PLACE,0,MPI_DATATYPE_NULL,b->j,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2618 #else
2619   ierr = MPI_Allgatherv(jsendbuf,sendcount,MPIU_INT,b->j,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2620 #endif
2621   /*--------------------------------------------------------------------
2622     Assemble the matrix into useable form (note numerical values not yet set)
2623   */
2624   /* set the b->ilen (length of each row) values */
2625   ierr = PetscMemcpy(b->ilen,lens,(A->rmap->N/bs)*sizeof(PetscInt));CHKERRQ(ierr);
2626   /* set the b->i indices */
2627   b->i[0] = 0;
2628   for (i=1; i<=A->rmap->N/bs; i++) {
2629     b->i[i] = b->i[i-1] + lens[i-1];
2630   }
2631   ierr = PetscFree(lens);CHKERRQ(ierr);
2632   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2633   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2634   ierr = PetscFree(recvcounts);CHKERRQ(ierr);
2635 
2636   if (A->symmetric) {
2637     ierr = MatSetOption(B,MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
2638   } else if (A->hermitian) {
2639     ierr = MatSetOption(B,MAT_HERMITIAN,PETSC_TRUE);CHKERRQ(ierr);
2640   } else if (A->structurally_symmetric) {
2641     ierr = MatSetOption(B,MAT_STRUCTURALLY_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
2642   }
2643   *newmat = B;
2644   PetscFunctionReturn(0);
2645 }
2646 
2647 #undef __FUNCT__
2648 #define __FUNCT__ "MatSOR_MPIBAIJ"
2649 PetscErrorCode MatSOR_MPIBAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2650 {
2651   Mat_MPIBAIJ    *mat = (Mat_MPIBAIJ*)matin->data;
2652   PetscErrorCode ierr;
2653   Vec            bb1 = 0;
2654 
2655   PetscFunctionBegin;
2656   if (flag == SOR_APPLY_UPPER) {
2657     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2658     PetscFunctionReturn(0);
2659   }
2660 
2661   if (its > 1 || ~flag & SOR_ZERO_INITIAL_GUESS) {
2662     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
2663   }
2664 
2665   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
2666     if (flag & SOR_ZERO_INITIAL_GUESS) {
2667       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2668       its--;
2669     }
2670 
2671     while (its--) {
2672       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2673       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2674 
2675       /* update rhs: bb1 = bb - B*x */
2676       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2677       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);CHKERRQ(ierr);
2678 
2679       /* local sweep */
2680       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,1,xx);CHKERRQ(ierr);
2681     }
2682   } else if (flag & SOR_LOCAL_FORWARD_SWEEP) {
2683     if (flag & SOR_ZERO_INITIAL_GUESS) {
2684       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2685       its--;
2686     }
2687     while (its--) {
2688       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2689       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2690 
2691       /* update rhs: bb1 = bb - B*x */
2692       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2693       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);CHKERRQ(ierr);
2694 
2695       /* local sweep */
2696       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_FORWARD_SWEEP,fshift,lits,1,xx);CHKERRQ(ierr);
2697     }
2698   } else if (flag & SOR_LOCAL_BACKWARD_SWEEP) {
2699     if (flag & SOR_ZERO_INITIAL_GUESS) {
2700       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
2701       its--;
2702     }
2703     while (its--) {
2704       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2705       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2706 
2707       /* update rhs: bb1 = bb - B*x */
2708       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
2709       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);CHKERRQ(ierr);
2710 
2711       /* local sweep */
2712       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_BACKWARD_SWEEP,fshift,lits,1,xx);CHKERRQ(ierr);
2713     }
2714   } else SETERRQ(PetscObjectComm((PetscObject)matin),PETSC_ERR_SUP,"Parallel version of SOR requested not supported");
2715 
2716   ierr = VecDestroy(&bb1);CHKERRQ(ierr);
2717   PetscFunctionReturn(0);
2718 }
2719 
2720 extern PetscErrorCode  MatFDColoringApply_BAIJ(Mat,MatFDColoring,Vec,MatStructure*,void*);
2721 
2722 #undef __FUNCT__
2723 #define __FUNCT__ "MatInvertBlockDiagonal_MPIBAIJ"
2724 PetscErrorCode  MatInvertBlockDiagonal_MPIBAIJ(Mat A,const PetscScalar **values)
2725 {
2726   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*) A->data;
2727   PetscErrorCode ierr;
2728 
2729   PetscFunctionBegin;
2730   ierr = MatInvertBlockDiagonal(a->A,values);CHKERRQ(ierr);
2731   PetscFunctionReturn(0);
2732 }
2733 
2734 
2735 /* -------------------------------------------------------------------*/
2736 static struct _MatOps MatOps_Values = {MatSetValues_MPIBAIJ,
2737                                        MatGetRow_MPIBAIJ,
2738                                        MatRestoreRow_MPIBAIJ,
2739                                        MatMult_MPIBAIJ,
2740                                 /* 4*/ MatMultAdd_MPIBAIJ,
2741                                        MatMultTranspose_MPIBAIJ,
2742                                        MatMultTransposeAdd_MPIBAIJ,
2743                                        0,
2744                                        0,
2745                                        0,
2746                                 /*10*/ 0,
2747                                        0,
2748                                        0,
2749                                        MatSOR_MPIBAIJ,
2750                                        MatTranspose_MPIBAIJ,
2751                                 /*15*/ MatGetInfo_MPIBAIJ,
2752                                        MatEqual_MPIBAIJ,
2753                                        MatGetDiagonal_MPIBAIJ,
2754                                        MatDiagonalScale_MPIBAIJ,
2755                                        MatNorm_MPIBAIJ,
2756                                 /*20*/ MatAssemblyBegin_MPIBAIJ,
2757                                        MatAssemblyEnd_MPIBAIJ,
2758                                        MatSetOption_MPIBAIJ,
2759                                        MatZeroEntries_MPIBAIJ,
2760                                 /*24*/ MatZeroRows_MPIBAIJ,
2761                                        0,
2762                                        0,
2763                                        0,
2764                                        0,
2765                                 /*29*/ MatSetUp_MPIBAIJ,
2766                                        0,
2767                                        0,
2768                                        0,
2769                                        0,
2770                                 /*34*/ MatDuplicate_MPIBAIJ,
2771                                        0,
2772                                        0,
2773                                        0,
2774                                        0,
2775                                 /*39*/ MatAXPY_MPIBAIJ,
2776                                        MatGetSubMatrices_MPIBAIJ,
2777                                        MatIncreaseOverlap_MPIBAIJ,
2778                                        MatGetValues_MPIBAIJ,
2779                                        MatCopy_MPIBAIJ,
2780                                 /*44*/ 0,
2781                                        MatScale_MPIBAIJ,
2782                                        0,
2783                                        0,
2784                                        0,
2785                                 /*49*/ 0,
2786                                        0,
2787                                        0,
2788                                        0,
2789                                        0,
2790                                 /*54*/ MatFDColoringCreate_MPIBAIJ,
2791                                        0,
2792                                        MatSetUnfactored_MPIBAIJ,
2793                                        MatPermute_MPIBAIJ,
2794                                        MatSetValuesBlocked_MPIBAIJ,
2795                                 /*59*/ MatGetSubMatrix_MPIBAIJ,
2796                                        MatDestroy_MPIBAIJ,
2797                                        MatView_MPIBAIJ,
2798                                        0,
2799                                        0,
2800                                 /*64*/ 0,
2801                                        0,
2802                                        0,
2803                                        0,
2804                                        0,
2805                                 /*69*/ MatGetRowMaxAbs_MPIBAIJ,
2806                                        0,
2807                                        0,
2808                                        0,
2809                                        0,
2810                                 /*74*/ 0,
2811                                        MatFDColoringApply_BAIJ,
2812                                        0,
2813                                        0,
2814                                        0,
2815                                 /*79*/ 0,
2816                                        0,
2817                                        0,
2818                                        0,
2819                                        MatLoad_MPIBAIJ,
2820                                 /*84*/ 0,
2821                                        0,
2822                                        0,
2823                                        0,
2824                                        0,
2825                                 /*89*/ 0,
2826                                        0,
2827                                        0,
2828                                        0,
2829                                        0,
2830                                 /*94*/ 0,
2831                                        0,
2832                                        0,
2833                                        0,
2834                                        0,
2835                                 /*99*/ 0,
2836                                        0,
2837                                        0,
2838                                        0,
2839                                        0,
2840                                 /*104*/0,
2841                                        MatRealPart_MPIBAIJ,
2842                                        MatImaginaryPart_MPIBAIJ,
2843                                        0,
2844                                        0,
2845                                 /*109*/0,
2846                                        0,
2847                                        0,
2848                                        0,
2849                                        0,
2850                                 /*114*/MatGetSeqNonzeroStructure_MPIBAIJ,
2851                                        0,
2852                                        MatGetGhosts_MPIBAIJ,
2853                                        0,
2854                                        0,
2855                                 /*119*/0,
2856                                        0,
2857                                        0,
2858                                        0,
2859                                        MatGetMultiProcBlock_MPIBAIJ,
2860                                 /*124*/0,
2861                                        0,
2862                                        MatInvertBlockDiagonal_MPIBAIJ,
2863                                        0,
2864                                        0,
2865                                /*129*/ 0,
2866                                        0,
2867                                        0,
2868                                        0,
2869                                        0,
2870                                /*134*/ 0,
2871                                        0,
2872                                        0,
2873                                        0,
2874                                        0,
2875                                /*139*/ 0,
2876                                        0,
2877                                        0
2878 };
2879 
2880 #undef __FUNCT__
2881 #define __FUNCT__ "MatGetDiagonalBlock_MPIBAIJ"
2882 PetscErrorCode  MatGetDiagonalBlock_MPIBAIJ(Mat A,Mat *a)
2883 {
2884   PetscFunctionBegin;
2885   *a = ((Mat_MPIBAIJ*)A->data)->A;
2886   PetscFunctionReturn(0);
2887 }
2888 
2889 PETSC_EXTERN PetscErrorCode MatConvert_MPIBAIJ_MPISBAIJ(Mat, MatType,MatReuse,Mat*);
2890 
2891 #undef __FUNCT__
2892 #define __FUNCT__ "MatMPIBAIJSetPreallocationCSR_MPIBAIJ"
2893 PetscErrorCode MatMPIBAIJSetPreallocationCSR_MPIBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
2894 {
2895   PetscInt       m,rstart,cstart,cend;
2896   PetscInt       i,j,d,nz,nz_max=0,*d_nnz=0,*o_nnz=0;
2897   const PetscInt *JJ    =0;
2898   PetscScalar    *values=0;
2899   PetscErrorCode ierr;
2900 
2901   PetscFunctionBegin;
2902   ierr   = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
2903   ierr   = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
2904   ierr   = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
2905   ierr   = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
2906   ierr   = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
2907   m      = B->rmap->n/bs;
2908   rstart = B->rmap->rstart/bs;
2909   cstart = B->cmap->rstart/bs;
2910   cend   = B->cmap->rend/bs;
2911 
2912   if (ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"ii[0] must be 0 but it is %D",ii[0]);
2913   ierr = PetscMalloc2(m,PetscInt,&d_nnz,m,PetscInt,&o_nnz);CHKERRQ(ierr);
2914   for (i=0; i<m; i++) {
2915     nz = ii[i+1] - ii[i];
2916     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Local row %D has a negative number of columns %D",i,nz);
2917     nz_max = PetscMax(nz_max,nz);
2918     JJ     = jj + ii[i];
2919     for (j=0; j<nz; j++) {
2920       if (*JJ >= cstart) break;
2921       JJ++;
2922     }
2923     d = 0;
2924     for (; j<nz; j++) {
2925       if (*JJ++ >= cend) break;
2926       d++;
2927     }
2928     d_nnz[i] = d;
2929     o_nnz[i] = nz - d;
2930   }
2931   ierr = MatMPIBAIJSetPreallocation(B,bs,0,d_nnz,0,o_nnz);CHKERRQ(ierr);
2932   ierr = PetscFree2(d_nnz,o_nnz);CHKERRQ(ierr);
2933 
2934   values = (PetscScalar*)V;
2935   if (!values) {
2936     ierr = PetscMalloc(bs*bs*nz_max*sizeof(PetscScalar),&values);CHKERRQ(ierr);
2937     ierr = PetscMemzero(values,bs*bs*nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
2938   }
2939   for (i=0; i<m; i++) {
2940     PetscInt          row    = i + rstart;
2941     PetscInt          ncols  = ii[i+1] - ii[i];
2942     const PetscInt    *icols = jj + ii[i];
2943     const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
2944     ierr = MatSetValuesBlocked_MPIBAIJ(B,1,&row,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
2945   }
2946 
2947   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
2948   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2949   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2950   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
2951   PetscFunctionReturn(0);
2952 }
2953 
2954 #undef __FUNCT__
2955 #define __FUNCT__ "MatMPIBAIJSetPreallocationCSR"
2956 /*@C
2957    MatMPIBAIJSetPreallocationCSR - Allocates memory for a sparse parallel matrix in BAIJ format
2958    (the default parallel PETSc format).
2959 
2960    Collective on MPI_Comm
2961 
2962    Input Parameters:
2963 +  A - the matrix
2964 .  bs - the block size
2965 .  i - the indices into j for the start of each local row (starts with zero)
2966 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
2967 -  v - optional values in the matrix
2968 
2969    Level: developer
2970 
2971 .keywords: matrix, aij, compressed row, sparse, parallel
2972 
2973 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIBAIJSetPreallocation(), MatCreateAIJ(), MPIAIJ
2974 @*/
2975 PetscErrorCode  MatMPIBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
2976 {
2977   PetscErrorCode ierr;
2978 
2979   PetscFunctionBegin;
2980   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
2981   PetscValidType(B,1);
2982   PetscValidLogicalCollectiveInt(B,bs,2);
2983   ierr = PetscTryMethod(B,"MatMPIBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));CHKERRQ(ierr);
2984   PetscFunctionReturn(0);
2985 }
2986 
2987 #undef __FUNCT__
2988 #define __FUNCT__ "MatMPIBAIJSetPreallocation_MPIBAIJ"
2989 PetscErrorCode  MatMPIBAIJSetPreallocation_MPIBAIJ(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt *d_nnz,PetscInt o_nz,const PetscInt *o_nnz)
2990 {
2991   Mat_MPIBAIJ    *b;
2992   PetscErrorCode ierr;
2993   PetscInt       i;
2994 
2995   PetscFunctionBegin;
2996   ierr = PetscLayoutSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
2997   ierr = PetscLayoutSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
2998   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
2999   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3000   ierr = PetscLayoutGetBlockSize(B->rmap,&bs);CHKERRQ(ierr);
3001 
3002   if (d_nnz) {
3003     for (i=0; i<B->rmap->n/bs; i++) {
3004       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]);
3005     }
3006   }
3007   if (o_nnz) {
3008     for (i=0; i<B->rmap->n/bs; i++) {
3009       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]);
3010     }
3011   }
3012 
3013   b      = (Mat_MPIBAIJ*)B->data;
3014   b->bs2 = bs*bs;
3015   b->mbs = B->rmap->n/bs;
3016   b->nbs = B->cmap->n/bs;
3017   b->Mbs = B->rmap->N/bs;
3018   b->Nbs = B->cmap->N/bs;
3019 
3020   for (i=0; i<=b->size; i++) {
3021     b->rangebs[i] = B->rmap->range[i]/bs;
3022   }
3023   b->rstartbs = B->rmap->rstart/bs;
3024   b->rendbs   = B->rmap->rend/bs;
3025   b->cstartbs = B->cmap->rstart/bs;
3026   b->cendbs   = B->cmap->rend/bs;
3027 
3028   if (!B->preallocated) {
3029     ierr = MatCreate(PETSC_COMM_SELF,&b->A);CHKERRQ(ierr);
3030     ierr = MatSetSizes(b->A,B->rmap->n,B->cmap->n,B->rmap->n,B->cmap->n);CHKERRQ(ierr);
3031     ierr = MatSetType(b->A,MATSEQBAIJ);CHKERRQ(ierr);
3032     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->A);CHKERRQ(ierr);
3033     ierr = MatCreate(PETSC_COMM_SELF,&b->B);CHKERRQ(ierr);
3034     ierr = MatSetSizes(b->B,B->rmap->n,B->cmap->N,B->rmap->n,B->cmap->N);CHKERRQ(ierr);
3035     ierr = MatSetType(b->B,MATSEQBAIJ);CHKERRQ(ierr);
3036     ierr = PetscLogObjectParent((PetscObject)B,(PetscObject)b->B);CHKERRQ(ierr);
3037     ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),bs,&B->bstash);CHKERRQ(ierr);
3038   }
3039 
3040   ierr = MatSeqBAIJSetPreallocation(b->A,bs,d_nz,d_nnz);CHKERRQ(ierr);
3041   ierr = MatSeqBAIJSetPreallocation(b->B,bs,o_nz,o_nnz);CHKERRQ(ierr);
3042   B->preallocated = PETSC_TRUE;
3043   PetscFunctionReturn(0);
3044 }
3045 
3046 extern PetscErrorCode  MatDiagonalScaleLocal_MPIBAIJ(Mat,Vec);
3047 extern PetscErrorCode  MatSetHashTableFactor_MPIBAIJ(Mat,PetscReal);
3048 
3049 #undef __FUNCT__
3050 #define __FUNCT__ "MatConvert_MPIBAIJ_MPIAdj"
3051 PETSC_EXTERN PetscErrorCode MatConvert_MPIBAIJ_MPIAdj(Mat B, MatType newtype,MatReuse reuse,Mat *adj)
3052 {
3053   Mat_MPIBAIJ    *b = (Mat_MPIBAIJ*)B->data;
3054   PetscErrorCode ierr;
3055   Mat_SeqBAIJ    *d  = (Mat_SeqBAIJ*) b->A->data,*o = (Mat_SeqBAIJ*) b->B->data;
3056   PetscInt       M   = B->rmap->n/B->rmap->bs,i,*ii,*jj,cnt,j,k,rstart = B->rmap->rstart/B->rmap->bs;
3057   const PetscInt *id = d->i, *jd = d->j, *io = o->i, *jo = o->j, *garray = b->garray;
3058 
3059   PetscFunctionBegin;
3060   ierr  = PetscMalloc((M+1)*sizeof(PetscInt),&ii);CHKERRQ(ierr);
3061   ii[0] = 0;
3062   for (i=0; i<M; i++) {
3063     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]);
3064     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]);
3065     ii[i+1] = ii[i] + id[i+1] - id[i] + io[i+1] - io[i];
3066     /* remove one from count of matrix has diagonal */
3067     for (j=id[i]; j<id[i+1]; j++) {
3068       if (jd[j] == i) {ii[i+1]--;break;}
3069     }
3070   }
3071   ierr = PetscMalloc(ii[M]*sizeof(PetscInt),&jj);CHKERRQ(ierr);
3072   cnt  = 0;
3073   for (i=0; i<M; i++) {
3074     for (j=io[i]; j<io[i+1]; j++) {
3075       if (garray[jo[j]] > rstart) break;
3076       jj[cnt++] = garray[jo[j]];
3077     }
3078     for (k=id[i]; k<id[i+1]; k++) {
3079       if (jd[k] != i) {
3080         jj[cnt++] = rstart + jd[k];
3081       }
3082     }
3083     for (; j<io[i+1]; j++) {
3084       jj[cnt++] = garray[jo[j]];
3085     }
3086   }
3087   ierr = MatCreateMPIAdj(PetscObjectComm((PetscObject)B),M,B->cmap->N/B->rmap->bs,ii,jj,NULL,adj);CHKERRQ(ierr);
3088   PetscFunctionReturn(0);
3089 }
3090 
3091 #include <../src/mat/impls/aij/mpi/mpiaij.h>
3092 
3093 PETSC_EXTERN PetscErrorCode MatConvert_SeqBAIJ_SeqAIJ(Mat,MatType,MatReuse,Mat*);
3094 
3095 #undef __FUNCT__
3096 #define __FUNCT__ "MatConvert_MPIBAIJ_MPIAIJ"
3097 PETSC_EXTERN PetscErrorCode MatConvert_MPIBAIJ_MPIAIJ(Mat A,MatType newtype,MatReuse reuse,Mat *newmat)
3098 {
3099   PetscErrorCode ierr;
3100   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
3101   Mat            B;
3102   Mat_MPIAIJ     *b;
3103 
3104   PetscFunctionBegin;
3105   if (!A->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Matrix must be assembled");
3106 
3107   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
3108   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
3109   ierr = MatSetType(B,MATMPIAIJ);CHKERRQ(ierr);
3110   ierr = MatSeqAIJSetPreallocation(B,0,NULL);CHKERRQ(ierr);
3111   ierr = MatMPIAIJSetPreallocation(B,0,NULL,0,NULL);CHKERRQ(ierr);
3112   b    = (Mat_MPIAIJ*) B->data;
3113 
3114   ierr = MatDestroy(&b->A);CHKERRQ(ierr);
3115   ierr = MatDestroy(&b->B);CHKERRQ(ierr);
3116   ierr = MatDisAssemble_MPIBAIJ(A);CHKERRQ(ierr);
3117   ierr = MatConvert_SeqBAIJ_SeqAIJ(a->A, MATSEQAIJ, MAT_INITIAL_MATRIX, &b->A);CHKERRQ(ierr);
3118   ierr = MatConvert_SeqBAIJ_SeqAIJ(a->B, MATSEQAIJ, MAT_INITIAL_MATRIX, &b->B);CHKERRQ(ierr);
3119   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3120   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3121   ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3122   ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3123   if (reuse == MAT_REUSE_MATRIX) {
3124     ierr = MatHeaderReplace(A,B);CHKERRQ(ierr);
3125   } else {
3126    *newmat = B;
3127   }
3128   PetscFunctionReturn(0);
3129 }
3130 
3131 #if defined(PETSC_HAVE_MUMPS)
3132 PETSC_EXTERN PetscErrorCode MatGetFactor_baij_mumps(Mat,MatFactorType,Mat*);
3133 #endif
3134 
3135 /*MC
3136    MATMPIBAIJ - MATMPIBAIJ = "mpibaij" - A matrix type to be used for distributed block sparse matrices.
3137 
3138    Options Database Keys:
3139 + -mat_type mpibaij - sets the matrix type to "mpibaij" during a call to MatSetFromOptions()
3140 . -mat_block_size <bs> - set the blocksize used to store the matrix
3141 - -mat_use_hash_table <fact>
3142 
3143   Level: beginner
3144 
3145 .seealso: MatCreateMPIBAIJ
3146 M*/
3147 
3148 PETSC_EXTERN PetscErrorCode MatConvert_MPIBAIJ_MPIBSTRM(Mat,MatType,MatReuse,Mat*);
3149 
3150 #undef __FUNCT__
3151 #define __FUNCT__ "MatCreate_MPIBAIJ"
3152 PETSC_EXTERN PetscErrorCode MatCreate_MPIBAIJ(Mat B)
3153 {
3154   Mat_MPIBAIJ    *b;
3155   PetscErrorCode ierr;
3156   PetscBool      flg;
3157 
3158   PetscFunctionBegin;
3159   ierr    = PetscNewLog(B,Mat_MPIBAIJ,&b);CHKERRQ(ierr);
3160   B->data = (void*)b;
3161 
3162   ierr         = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
3163   B->assembled = PETSC_FALSE;
3164 
3165   B->insertmode = NOT_SET_VALUES;
3166   ierr          = MPI_Comm_rank(PetscObjectComm((PetscObject)B),&b->rank);CHKERRQ(ierr);
3167   ierr          = MPI_Comm_size(PetscObjectComm((PetscObject)B),&b->size);CHKERRQ(ierr);
3168 
3169   /* build local table of row and column ownerships */
3170   ierr = PetscMalloc((b->size+1)*sizeof(PetscInt),&b->rangebs);CHKERRQ(ierr);
3171 
3172   /* build cache for off array entries formed */
3173   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),1,&B->stash);CHKERRQ(ierr);
3174 
3175   b->donotstash  = PETSC_FALSE;
3176   b->colmap      = NULL;
3177   b->garray      = NULL;
3178   b->roworiented = PETSC_TRUE;
3179 
3180   /* stuff used in block assembly */
3181   b->barray = 0;
3182 
3183   /* stuff used for matrix vector multiply */
3184   b->lvec  = 0;
3185   b->Mvctx = 0;
3186 
3187   /* stuff for MatGetRow() */
3188   b->rowindices   = 0;
3189   b->rowvalues    = 0;
3190   b->getrowactive = PETSC_FALSE;
3191 
3192   /* hash table stuff */
3193   b->ht           = 0;
3194   b->hd           = 0;
3195   b->ht_size      = 0;
3196   b->ht_flag      = PETSC_FALSE;
3197   b->ht_fact      = 0;
3198   b->ht_total_ct  = 0;
3199   b->ht_insert_ct = 0;
3200 
3201   /* stuff for MatGetSubMatrices_MPIBAIJ_local() */
3202   b->ijonly = PETSC_FALSE;
3203 
3204   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)B),NULL,"Options for loading MPIBAIJ matrix 1","Mat");CHKERRQ(ierr);
3205   ierr = PetscOptionsBool("-mat_use_hash_table","Use hash table to save memory in constructing matrix","MatSetOption",PETSC_FALSE,&flg,NULL);CHKERRQ(ierr);
3206   if (flg) {
3207     PetscReal fact = 1.39;
3208     ierr = MatSetOption(B,MAT_USE_HASH_TABLE,PETSC_TRUE);CHKERRQ(ierr);
3209     ierr = PetscOptionsReal("-mat_use_hash_table","Use hash table factor","MatMPIBAIJSetHashTableFactor",fact,&fact,NULL);CHKERRQ(ierr);
3210     if (fact <= 1.0) fact = 1.39;
3211     ierr = MatMPIBAIJSetHashTableFactor(B,fact);CHKERRQ(ierr);
3212     ierr = PetscInfo1(B,"Hash table Factor used %5.2f\n",fact);CHKERRQ(ierr);
3213   }
3214   ierr = PetscOptionsEnd();CHKERRQ(ierr);
3215 
3216 #if defined(PETSC_HAVE_MUMPS)
3217   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_mumps_C",MatGetFactor_baij_mumps);CHKERRQ(ierr);
3218 #endif
3219   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpiadj_C",MatConvert_MPIBAIJ_MPIAdj);CHKERRQ(ierr);
3220   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpiaij_C",MatConvert_MPIBAIJ_MPIAIJ);CHKERRQ(ierr);
3221   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpisbaij_C",MatConvert_MPIBAIJ_MPISBAIJ);CHKERRQ(ierr);
3222   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_MPIBAIJ);CHKERRQ(ierr);
3223   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_MPIBAIJ);CHKERRQ(ierr);
3224   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetDiagonalBlock_C",MatGetDiagonalBlock_MPIBAIJ);CHKERRQ(ierr);
3225   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPIBAIJSetPreallocation_C",MatMPIBAIJSetPreallocation_MPIBAIJ);CHKERRQ(ierr);
3226   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPIBAIJSetPreallocationCSR_C",MatMPIBAIJSetPreallocationCSR_MPIBAIJ);CHKERRQ(ierr);
3227   ierr = PetscObjectComposeFunction((PetscObject)B,"MatDiagonalScaleLocal_C",MatDiagonalScaleLocal_MPIBAIJ);CHKERRQ(ierr);
3228   ierr = PetscObjectComposeFunction((PetscObject)B,"MatSetHashTableFactor_C",MatSetHashTableFactor_MPIBAIJ);CHKERRQ(ierr);
3229   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpibstrm_C",MatConvert_MPIBAIJ_MPIBSTRM);CHKERRQ(ierr);
3230   ierr = PetscObjectChangeTypeName((PetscObject)B,MATMPIBAIJ);CHKERRQ(ierr);
3231   PetscFunctionReturn(0);
3232 }
3233 
3234 /*MC
3235    MATBAIJ - MATBAIJ = "baij" - A matrix type to be used for block sparse matrices.
3236 
3237    This matrix type is identical to MATSEQBAIJ when constructed with a single process communicator,
3238    and MATMPIBAIJ otherwise.
3239 
3240    Options Database Keys:
3241 . -mat_type baij - sets the matrix type to "baij" during a call to MatSetFromOptions()
3242 
3243   Level: beginner
3244 
3245 .seealso: MatCreateBAIJ(),MATSEQBAIJ,MATMPIBAIJ, MatMPIBAIJSetPreallocation(), MatMPIBAIJSetPreallocationCSR()
3246 M*/
3247 
3248 #undef __FUNCT__
3249 #define __FUNCT__ "MatMPIBAIJSetPreallocation"
3250 /*@C
3251    MatMPIBAIJSetPreallocation - Allocates memory for a sparse parallel matrix in block AIJ format
3252    (block compressed row).  For good matrix assembly performance
3253    the user should preallocate the matrix storage by setting the parameters
3254    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
3255    performance can be increased by more than a factor of 50.
3256 
3257    Collective on Mat
3258 
3259    Input Parameters:
3260 +  A - the matrix
3261 .  bs   - size of block
3262 .  d_nz  - number of block nonzeros per block row in diagonal portion of local
3263            submatrix  (same for all local rows)
3264 .  d_nnz - array containing the number of block nonzeros in the various block rows
3265            of the in diagonal portion of the local (possibly different for each block
3266            row) or NULL.  If you plan to factor the matrix you must leave room for the diagonal entry and
3267            set it even if it is zero.
3268 .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
3269            submatrix (same for all local rows).
3270 -  o_nnz - array containing the number of nonzeros in the various block rows of the
3271            off-diagonal portion of the local submatrix (possibly different for
3272            each block row) or NULL.
3273 
3274    If the *_nnz parameter is given then the *_nz parameter is ignored
3275 
3276    Options Database Keys:
3277 +   -mat_block_size - size of the blocks to use
3278 -   -mat_use_hash_table <fact>
3279 
3280    Notes:
3281    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
3282    than it must be used on all processors that share the object for that argument.
3283 
3284    Storage Information:
3285    For a square global matrix we define each processor's diagonal portion
3286    to be its local rows and the corresponding columns (a square submatrix);
3287    each processor's off-diagonal portion encompasses the remainder of the
3288    local matrix (a rectangular submatrix).
3289 
3290    The user can specify preallocated storage for the diagonal part of
3291    the local submatrix with either d_nz or d_nnz (not both).  Set
3292    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
3293    memory allocation.  Likewise, specify preallocated storage for the
3294    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
3295 
3296    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
3297    the figure below we depict these three local rows and all columns (0-11).
3298 
3299 .vb
3300            0 1 2 3 4 5 6 7 8 9 10 11
3301           --------------------------
3302    row 3  |o o o d d d o o o o  o  o
3303    row 4  |o o o d d d o o o o  o  o
3304    row 5  |o o o d d d o o o o  o  o
3305           --------------------------
3306 .ve
3307 
3308    Thus, any entries in the d locations are stored in the d (diagonal)
3309    submatrix, and any entries in the o locations are stored in the
3310    o (off-diagonal) submatrix.  Note that the d and the o submatrices are
3311    stored simply in the MATSEQBAIJ format for compressed row storage.
3312 
3313    Now d_nz should indicate the number of block nonzeros per row in the d matrix,
3314    and o_nz should indicate the number of block nonzeros per row in the o matrix.
3315    In general, for PDE problems in which most nonzeros are near the diagonal,
3316    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
3317    or you will get TERRIBLE performance; see the users' manual chapter on
3318    matrices.
3319 
3320    You can call MatGetInfo() to get information on how effective the preallocation was;
3321    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3322    You can also run with the option -info and look for messages with the string
3323    malloc in them to see if additional memory allocation was needed.
3324 
3325    Level: intermediate
3326 
3327 .keywords: matrix, block, aij, compressed row, sparse, parallel
3328 
3329 .seealso: MatCreate(), MatCreateSeqBAIJ(), MatSetValues(), MatCreateBAIJ(), MatMPIBAIJSetPreallocationCSR(), PetscSplitOwnership()
3330 @*/
3331 PetscErrorCode  MatMPIBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
3332 {
3333   PetscErrorCode ierr;
3334 
3335   PetscFunctionBegin;
3336   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3337   PetscValidType(B,1);
3338   PetscValidLogicalCollectiveInt(B,bs,2);
3339   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);
3340   PetscFunctionReturn(0);
3341 }
3342 
3343 #undef __FUNCT__
3344 #define __FUNCT__ "MatCreateBAIJ"
3345 /*@C
3346    MatCreateBAIJ - Creates a sparse parallel matrix in block AIJ format
3347    (block compressed row).  For good matrix assembly performance
3348    the user should preallocate the matrix storage by setting the parameters
3349    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
3350    performance can be increased by more than a factor of 50.
3351 
3352    Collective on MPI_Comm
3353 
3354    Input Parameters:
3355 +  comm - MPI communicator
3356 .  bs   - size of blockk
3357 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
3358            This value should be the same as the local size used in creating the
3359            y vector for the matrix-vector product y = Ax.
3360 .  n - number of local columns (or PETSC_DECIDE to have calculated if N is given)
3361            This value should be the same as the local size used in creating the
3362            x vector for the matrix-vector product y = Ax.
3363 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
3364 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
3365 .  d_nz  - number of nonzero blocks per block row in diagonal portion of local
3366            submatrix  (same for all local rows)
3367 .  d_nnz - array containing the number of nonzero blocks in the various block rows
3368            of the in diagonal portion of the local (possibly different for each block
3369            row) or NULL.  If you plan to factor the matrix you must leave room for the diagonal entry
3370            and set it even if it is zero.
3371 .  o_nz  - number of nonzero blocks per block row in the off-diagonal portion of local
3372            submatrix (same for all local rows).
3373 -  o_nnz - array containing the number of nonzero blocks in the various block rows of the
3374            off-diagonal portion of the local submatrix (possibly different for
3375            each block row) or NULL.
3376 
3377    Output Parameter:
3378 .  A - the matrix
3379 
3380    Options Database Keys:
3381 +   -mat_block_size - size of the blocks to use
3382 -   -mat_use_hash_table <fact>
3383 
3384    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3385    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3386    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3387 
3388    Notes:
3389    If the *_nnz parameter is given then the *_nz parameter is ignored
3390 
3391    A nonzero block is any block that as 1 or more nonzeros in it
3392 
3393    The user MUST specify either the local or global matrix dimensions
3394    (possibly both).
3395 
3396    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
3397    than it must be used on all processors that share the object for that argument.
3398 
3399    Storage Information:
3400    For a square global matrix we define each processor's diagonal portion
3401    to be its local rows and the corresponding columns (a square submatrix);
3402    each processor's off-diagonal portion encompasses the remainder of the
3403    local matrix (a rectangular submatrix).
3404 
3405    The user can specify preallocated storage for the diagonal part of
3406    the local submatrix with either d_nz or d_nnz (not both).  Set
3407    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
3408    memory allocation.  Likewise, specify preallocated storage for the
3409    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
3410 
3411    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
3412    the figure below we depict these three local rows and all columns (0-11).
3413 
3414 .vb
3415            0 1 2 3 4 5 6 7 8 9 10 11
3416           --------------------------
3417    row 3  |o o o d d d o o o o  o  o
3418    row 4  |o o o d d d o o o o  o  o
3419    row 5  |o o o d d d o o o o  o  o
3420           --------------------------
3421 .ve
3422 
3423    Thus, any entries in the d locations are stored in the d (diagonal)
3424    submatrix, and any entries in the o locations are stored in the
3425    o (off-diagonal) submatrix.  Note that the d and the o submatrices are
3426    stored simply in the MATSEQBAIJ format for compressed row storage.
3427 
3428    Now d_nz should indicate the number of block nonzeros per row in the d matrix,
3429    and o_nz should indicate the number of block nonzeros per row in the o matrix.
3430    In general, for PDE problems in which most nonzeros are near the diagonal,
3431    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
3432    or you will get TERRIBLE performance; see the users' manual chapter on
3433    matrices.
3434 
3435    Level: intermediate
3436 
3437 .keywords: matrix, block, aij, compressed row, sparse, parallel
3438 
3439 .seealso: MatCreate(), MatCreateSeqBAIJ(), MatSetValues(), MatCreateBAIJ(), MatMPIBAIJSetPreallocation(), MatMPIBAIJSetPreallocationCSR()
3440 @*/
3441 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)
3442 {
3443   PetscErrorCode ierr;
3444   PetscMPIInt    size;
3445 
3446   PetscFunctionBegin;
3447   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3448   ierr = MatSetSizes(*A,m,n,M,N);CHKERRQ(ierr);
3449   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3450   if (size > 1) {
3451     ierr = MatSetType(*A,MATMPIBAIJ);CHKERRQ(ierr);
3452     ierr = MatMPIBAIJSetPreallocation(*A,bs,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
3453   } else {
3454     ierr = MatSetType(*A,MATSEQBAIJ);CHKERRQ(ierr);
3455     ierr = MatSeqBAIJSetPreallocation(*A,bs,d_nz,d_nnz);CHKERRQ(ierr);
3456   }
3457   PetscFunctionReturn(0);
3458 }
3459 
3460 #undef __FUNCT__
3461 #define __FUNCT__ "MatDuplicate_MPIBAIJ"
3462 static PetscErrorCode MatDuplicate_MPIBAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
3463 {
3464   Mat            mat;
3465   Mat_MPIBAIJ    *a,*oldmat = (Mat_MPIBAIJ*)matin->data;
3466   PetscErrorCode ierr;
3467   PetscInt       len=0;
3468 
3469   PetscFunctionBegin;
3470   *newmat = 0;
3471   ierr    = MatCreate(PetscObjectComm((PetscObject)matin),&mat);CHKERRQ(ierr);
3472   ierr    = MatSetSizes(mat,matin->rmap->n,matin->cmap->n,matin->rmap->N,matin->cmap->N);CHKERRQ(ierr);
3473   ierr    = MatSetType(mat,((PetscObject)matin)->type_name);CHKERRQ(ierr);
3474   ierr    = PetscMemcpy(mat->ops,matin->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
3475 
3476   mat->factortype   = matin->factortype;
3477   mat->preallocated = PETSC_TRUE;
3478   mat->assembled    = PETSC_TRUE;
3479   mat->insertmode   = NOT_SET_VALUES;
3480 
3481   a             = (Mat_MPIBAIJ*)mat->data;
3482   mat->rmap->bs = matin->rmap->bs;
3483   a->bs2        = oldmat->bs2;
3484   a->mbs        = oldmat->mbs;
3485   a->nbs        = oldmat->nbs;
3486   a->Mbs        = oldmat->Mbs;
3487   a->Nbs        = oldmat->Nbs;
3488 
3489   ierr = PetscLayoutReference(matin->rmap,&mat->rmap);CHKERRQ(ierr);
3490   ierr = PetscLayoutReference(matin->cmap,&mat->cmap);CHKERRQ(ierr);
3491 
3492   a->size         = oldmat->size;
3493   a->rank         = oldmat->rank;
3494   a->donotstash   = oldmat->donotstash;
3495   a->roworiented  = oldmat->roworiented;
3496   a->rowindices   = 0;
3497   a->rowvalues    = 0;
3498   a->getrowactive = PETSC_FALSE;
3499   a->barray       = 0;
3500   a->rstartbs     = oldmat->rstartbs;
3501   a->rendbs       = oldmat->rendbs;
3502   a->cstartbs     = oldmat->cstartbs;
3503   a->cendbs       = oldmat->cendbs;
3504 
3505   /* hash table stuff */
3506   a->ht           = 0;
3507   a->hd           = 0;
3508   a->ht_size      = 0;
3509   a->ht_flag      = oldmat->ht_flag;
3510   a->ht_fact      = oldmat->ht_fact;
3511   a->ht_total_ct  = 0;
3512   a->ht_insert_ct = 0;
3513 
3514   ierr = PetscMemcpy(a->rangebs,oldmat->rangebs,(a->size+1)*sizeof(PetscInt));CHKERRQ(ierr);
3515   if (oldmat->colmap) {
3516 #if defined(PETSC_USE_CTABLE)
3517     ierr = PetscTableCreateCopy(oldmat->colmap,&a->colmap);CHKERRQ(ierr);
3518 #else
3519     ierr = PetscMalloc((a->Nbs)*sizeof(PetscInt),&a->colmap);CHKERRQ(ierr);
3520     ierr = PetscLogObjectMemory((PetscObject)mat,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
3521     ierr = PetscMemcpy(a->colmap,oldmat->colmap,(a->Nbs)*sizeof(PetscInt));CHKERRQ(ierr);
3522 #endif
3523   } else a->colmap = 0;
3524 
3525   if (oldmat->garray && (len = ((Mat_SeqBAIJ*)(oldmat->B->data))->nbs)) {
3526     ierr = PetscMalloc(len*sizeof(PetscInt),&a->garray);CHKERRQ(ierr);
3527     ierr = PetscLogObjectMemory((PetscObject)mat,len*sizeof(PetscInt));CHKERRQ(ierr);
3528     ierr = PetscMemcpy(a->garray,oldmat->garray,len*sizeof(PetscInt));CHKERRQ(ierr);
3529   } else a->garray = 0;
3530 
3531   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)matin),matin->rmap->bs,&mat->bstash);CHKERRQ(ierr);
3532   ierr = VecDuplicate(oldmat->lvec,&a->lvec);CHKERRQ(ierr);
3533   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->lvec);CHKERRQ(ierr);
3534   ierr = VecScatterCopy(oldmat->Mvctx,&a->Mvctx);CHKERRQ(ierr);
3535   ierr = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->Mvctx);CHKERRQ(ierr);
3536 
3537   ierr    = MatDuplicate(oldmat->A,cpvalues,&a->A);CHKERRQ(ierr);
3538   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->A);CHKERRQ(ierr);
3539   ierr    = MatDuplicate(oldmat->B,cpvalues,&a->B);CHKERRQ(ierr);
3540   ierr    = PetscLogObjectParent((PetscObject)mat,(PetscObject)a->B);CHKERRQ(ierr);
3541   ierr    = PetscFunctionListDuplicate(((PetscObject)matin)->qlist,&((PetscObject)mat)->qlist);CHKERRQ(ierr);
3542   *newmat = mat;
3543   PetscFunctionReturn(0);
3544 }
3545 
3546 #undef __FUNCT__
3547 #define __FUNCT__ "MatLoad_MPIBAIJ"
3548 PetscErrorCode MatLoad_MPIBAIJ(Mat newmat,PetscViewer viewer)
3549 {
3550   PetscErrorCode ierr;
3551   int            fd;
3552   PetscInt       i,nz,j,rstart,rend;
3553   PetscScalar    *vals,*buf;
3554   MPI_Comm       comm;
3555   MPI_Status     status;
3556   PetscMPIInt    rank,size,maxnz;
3557   PetscInt       header[4],*rowlengths = 0,M,N,m,*rowners,*cols;
3558   PetscInt       *locrowlens = NULL,*procsnz = NULL,*browners = NULL;
3559   PetscInt       jj,*mycols,*ibuf,bs=1,Mbs,mbs,extra_rows,mmax;
3560   PetscMPIInt    tag    = ((PetscObject)viewer)->tag;
3561   PetscInt       *dlens = NULL,*odlens = NULL,*mask = NULL,*masked1 = NULL,*masked2 = NULL,rowcount,odcount;
3562   PetscInt       dcount,kmax,k,nzcount,tmp,mend,sizesset=1,grows,gcols;
3563 
3564   PetscFunctionBegin;
3565   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
3566   ierr = PetscOptionsBegin(comm,NULL,"Options for loading MPIBAIJ matrix 2","Mat");CHKERRQ(ierr);
3567   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
3568   ierr = PetscOptionsEnd();CHKERRQ(ierr);
3569 
3570   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3571   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
3572   if (!rank) {
3573     ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
3574     ierr = PetscBinaryRead(fd,(char*)header,4,PETSC_INT);CHKERRQ(ierr);
3575     if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
3576   }
3577 
3578   if (newmat->rmap->n < 0 && newmat->rmap->N < 0 && newmat->cmap->n < 0 && newmat->cmap->N < 0) sizesset = 0;
3579 
3580   ierr = MPI_Bcast(header+1,3,MPIU_INT,0,comm);CHKERRQ(ierr);
3581   M    = header[1]; N = header[2];
3582 
3583   /* If global rows/cols are set to PETSC_DECIDE, set it to the sizes given in the file */
3584   if (sizesset && newmat->rmap->N < 0) newmat->rmap->N = M;
3585   if (sizesset && newmat->cmap->N < 0) newmat->cmap->N = N;
3586 
3587   /* If global sizes are set, check if they are consistent with that given in the file */
3588   if (sizesset) {
3589     ierr = MatGetSize(newmat,&grows,&gcols);CHKERRQ(ierr);
3590   }
3591   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);
3592   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);
3593 
3594   if (M != N) SETERRQ(PetscObjectComm((PetscObject)viewer),PETSC_ERR_SUP,"Can only do square matrices");
3595 
3596   /*
3597      This code adds extra rows to make sure the number of rows is
3598      divisible by the blocksize
3599   */
3600   Mbs        = M/bs;
3601   extra_rows = bs - M + bs*Mbs;
3602   if (extra_rows == bs) extra_rows = 0;
3603   else                  Mbs++;
3604   if (extra_rows && !rank) {
3605     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
3606   }
3607 
3608   /* determine ownership of all rows */
3609   if (newmat->rmap->n < 0) { /* PETSC_DECIDE */
3610     mbs = Mbs/size + ((Mbs % size) > rank);
3611     m   = mbs*bs;
3612   } else { /* User set */
3613     m   = newmat->rmap->n;
3614     mbs = m/bs;
3615   }
3616   ierr = PetscMalloc2(size+1,PetscInt,&rowners,size+1,PetscInt,&browners);CHKERRQ(ierr);
3617   ierr = MPI_Allgather(&mbs,1,MPIU_INT,rowners+1,1,MPIU_INT,comm);CHKERRQ(ierr);
3618 
3619   /* process 0 needs enough room for process with most rows */
3620   if (!rank) {
3621     mmax = rowners[1];
3622     for (i=2; i<=size; i++) {
3623       mmax = PetscMax(mmax,rowners[i]);
3624     }
3625     mmax*=bs;
3626   } else mmax = -1;             /* unused, but compiler warns anyway */
3627 
3628   rowners[0] = 0;
3629   for (i=2; i<=size; i++) rowners[i] += rowners[i-1];
3630   for (i=0; i<=size; i++) browners[i] = rowners[i]*bs;
3631   rstart = rowners[rank];
3632   rend   = rowners[rank+1];
3633 
3634   /* distribute row lengths to all processors */
3635   ierr = PetscMalloc(m*sizeof(PetscInt),&locrowlens);CHKERRQ(ierr);
3636   if (!rank) {
3637     mend = m;
3638     if (size == 1) mend = mend - extra_rows;
3639     ierr = PetscBinaryRead(fd,locrowlens,mend,PETSC_INT);CHKERRQ(ierr);
3640     for (j=mend; j<m; j++) locrowlens[j] = 1;
3641     ierr = PetscMalloc(mmax*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
3642     ierr = PetscMalloc(size*sizeof(PetscInt),&procsnz);CHKERRQ(ierr);
3643     ierr = PetscMemzero(procsnz,size*sizeof(PetscInt));CHKERRQ(ierr);
3644     for (j=0; j<m; j++) {
3645       procsnz[0] += locrowlens[j];
3646     }
3647     for (i=1; i<size; i++) {
3648       mend = browners[i+1] - browners[i];
3649       if (i == size-1) mend = mend - extra_rows;
3650       ierr = PetscBinaryRead(fd,rowlengths,mend,PETSC_INT);CHKERRQ(ierr);
3651       for (j=mend; j<browners[i+1] - browners[i]; j++) rowlengths[j] = 1;
3652       /* calculate the number of nonzeros on each processor */
3653       for (j=0; j<browners[i+1]-browners[i]; j++) {
3654         procsnz[i] += rowlengths[j];
3655       }
3656       ierr = MPI_Send(rowlengths,browners[i+1]-browners[i],MPIU_INT,i,tag,comm);CHKERRQ(ierr);
3657     }
3658     ierr = PetscFree(rowlengths);CHKERRQ(ierr);
3659   } else {
3660     ierr = MPI_Recv(locrowlens,m,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
3661   }
3662 
3663   if (!rank) {
3664     /* determine max buffer needed and allocate it */
3665     maxnz = procsnz[0];
3666     for (i=1; i<size; i++) {
3667       maxnz = PetscMax(maxnz,procsnz[i]);
3668     }
3669     ierr = PetscMalloc(maxnz*sizeof(PetscInt),&cols);CHKERRQ(ierr);
3670 
3671     /* read in my part of the matrix column indices  */
3672     nz     = procsnz[0];
3673     ierr   = PetscMalloc((nz+1)*sizeof(PetscInt),&ibuf);CHKERRQ(ierr);
3674     mycols = ibuf;
3675     if (size == 1) nz -= extra_rows;
3676     ierr = PetscBinaryRead(fd,mycols,nz,PETSC_INT);CHKERRQ(ierr);
3677     if (size == 1) {
3678       for (i=0; i< extra_rows; i++) mycols[nz+i] = M+i;
3679     }
3680 
3681     /* read in every ones (except the last) and ship off */
3682     for (i=1; i<size-1; i++) {
3683       nz   = procsnz[i];
3684       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
3685       ierr = MPI_Send(cols,nz,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
3686     }
3687     /* read in the stuff for the last proc */
3688     if (size != 1) {
3689       nz   = procsnz[size-1] - extra_rows;  /* the extra rows are not on the disk */
3690       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
3691       for (i=0; i<extra_rows; i++) cols[nz+i] = M+i;
3692       ierr = MPI_Send(cols,nz+extra_rows,MPIU_INT,size-1,tag,comm);CHKERRQ(ierr);
3693     }
3694     ierr = PetscFree(cols);CHKERRQ(ierr);
3695   } else {
3696     /* determine buffer space needed for message */
3697     nz = 0;
3698     for (i=0; i<m; i++) {
3699       nz += locrowlens[i];
3700     }
3701     ierr   = PetscMalloc((nz+1)*sizeof(PetscInt),&ibuf);CHKERRQ(ierr);
3702     mycols = ibuf;
3703     /* receive message of column indices*/
3704     ierr = MPI_Recv(mycols,nz,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
3705     ierr = MPI_Get_count(&status,MPIU_INT,&maxnz);CHKERRQ(ierr);
3706     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
3707   }
3708 
3709   /* loop over local rows, determining number of off diagonal entries */
3710   ierr     = PetscMalloc2(rend-rstart,PetscInt,&dlens,rend-rstart,PetscInt,&odlens);CHKERRQ(ierr);
3711   ierr     = PetscMalloc3(Mbs,PetscInt,&mask,Mbs,PetscInt,&masked1,Mbs,PetscInt,&masked2);CHKERRQ(ierr);
3712   ierr     = PetscMemzero(mask,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
3713   ierr     = PetscMemzero(masked1,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
3714   ierr     = PetscMemzero(masked2,Mbs*sizeof(PetscInt));CHKERRQ(ierr);
3715   rowcount = 0; nzcount = 0;
3716   for (i=0; i<mbs; i++) {
3717     dcount  = 0;
3718     odcount = 0;
3719     for (j=0; j<bs; j++) {
3720       kmax = locrowlens[rowcount];
3721       for (k=0; k<kmax; k++) {
3722         tmp = mycols[nzcount++]/bs;
3723         if (!mask[tmp]) {
3724           mask[tmp] = 1;
3725           if (tmp < rstart || tmp >= rend) masked2[odcount++] = tmp;
3726           else masked1[dcount++] = tmp;
3727         }
3728       }
3729       rowcount++;
3730     }
3731 
3732     dlens[i]  = dcount;
3733     odlens[i] = odcount;
3734 
3735     /* zero out the mask elements we set */
3736     for (j=0; j<dcount; j++) mask[masked1[j]] = 0;
3737     for (j=0; j<odcount; j++) mask[masked2[j]] = 0;
3738   }
3739 
3740 
3741   if (!sizesset) {
3742     ierr = MatSetSizes(newmat,m,m,M+extra_rows,N+extra_rows);CHKERRQ(ierr);
3743   }
3744   ierr = MatMPIBAIJSetPreallocation(newmat,bs,0,dlens,0,odlens);CHKERRQ(ierr);
3745 
3746   if (!rank) {
3747     ierr = PetscMalloc((maxnz+1)*sizeof(PetscScalar),&buf);CHKERRQ(ierr);
3748     /* read in my part of the matrix numerical values  */
3749     nz     = procsnz[0];
3750     vals   = buf;
3751     mycols = ibuf;
3752     if (size == 1) nz -= extra_rows;
3753     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3754     if (size == 1) {
3755       for (i=0; i< extra_rows; i++) vals[nz+i] = 1.0;
3756     }
3757 
3758     /* insert into matrix */
3759     jj = rstart*bs;
3760     for (i=0; i<m; i++) {
3761       ierr    = MatSetValues_MPIBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
3762       mycols += locrowlens[i];
3763       vals   += locrowlens[i];
3764       jj++;
3765     }
3766     /* read in other processors (except the last one) and ship out */
3767     for (i=1; i<size-1; i++) {
3768       nz   = procsnz[i];
3769       vals = buf;
3770       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3771       ierr = MPIULong_Send(vals,nz,MPIU_SCALAR,i,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
3772     }
3773     /* the last proc */
3774     if (size != 1) {
3775       nz   = procsnz[i] - extra_rows;
3776       vals = buf;
3777       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3778       for (i=0; i<extra_rows; i++) vals[nz+i] = 1.0;
3779       ierr = MPIULong_Send(vals,nz+extra_rows,MPIU_SCALAR,size-1,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
3780     }
3781     ierr = PetscFree(procsnz);CHKERRQ(ierr);
3782   } else {
3783     /* receive numeric values */
3784     ierr = PetscMalloc((nz+1)*sizeof(PetscScalar),&buf);CHKERRQ(ierr);
3785 
3786     /* receive message of values*/
3787     vals   = buf;
3788     mycols = ibuf;
3789     ierr   = MPIULong_Recv(vals,nz,MPIU_SCALAR,0,((PetscObject)newmat)->tag,comm);CHKERRQ(ierr);
3790 
3791     /* insert into matrix */
3792     jj = rstart*bs;
3793     for (i=0; i<m; i++) {
3794       ierr    = MatSetValues_MPIBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);CHKERRQ(ierr);
3795       mycols += locrowlens[i];
3796       vals   += locrowlens[i];
3797       jj++;
3798     }
3799   }
3800   ierr = PetscFree(locrowlens);CHKERRQ(ierr);
3801   ierr = PetscFree(buf);CHKERRQ(ierr);
3802   ierr = PetscFree(ibuf);CHKERRQ(ierr);
3803   ierr = PetscFree2(rowners,browners);CHKERRQ(ierr);
3804   ierr = PetscFree2(dlens,odlens);CHKERRQ(ierr);
3805   ierr = PetscFree3(mask,masked1,masked2);CHKERRQ(ierr);
3806   ierr = MatAssemblyBegin(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3807   ierr = MatAssemblyEnd(newmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3808   PetscFunctionReturn(0);
3809 }
3810 
3811 #undef __FUNCT__
3812 #define __FUNCT__ "MatMPIBAIJSetHashTableFactor"
3813 /*@
3814    MatMPIBAIJSetHashTableFactor - Sets the factor required to compute the size of the HashTable.
3815 
3816    Input Parameters:
3817 .  mat  - the matrix
3818 .  fact - factor
3819 
3820    Not Collective, each process can use a different factor
3821 
3822    Level: advanced
3823 
3824   Notes:
3825    This can also be set by the command line option: -mat_use_hash_table <fact>
3826 
3827 .keywords: matrix, hashtable, factor, HT
3828 
3829 .seealso: MatSetOption()
3830 @*/
3831 PetscErrorCode  MatMPIBAIJSetHashTableFactor(Mat mat,PetscReal fact)
3832 {
3833   PetscErrorCode ierr;
3834 
3835   PetscFunctionBegin;
3836   ierr = PetscTryMethod(mat,"MatSetHashTableFactor_C",(Mat,PetscReal),(mat,fact));CHKERRQ(ierr);
3837   PetscFunctionReturn(0);
3838 }
3839 
3840 #undef __FUNCT__
3841 #define __FUNCT__ "MatSetHashTableFactor_MPIBAIJ"
3842 PetscErrorCode  MatSetHashTableFactor_MPIBAIJ(Mat mat,PetscReal fact)
3843 {
3844   Mat_MPIBAIJ *baij;
3845 
3846   PetscFunctionBegin;
3847   baij          = (Mat_MPIBAIJ*)mat->data;
3848   baij->ht_fact = fact;
3849   PetscFunctionReturn(0);
3850 }
3851 
3852 #undef __FUNCT__
3853 #define __FUNCT__ "MatMPIBAIJGetSeqBAIJ"
3854 PetscErrorCode  MatMPIBAIJGetSeqBAIJ(Mat A,Mat *Ad,Mat *Ao,const PetscInt *colmap[])
3855 {
3856   Mat_MPIBAIJ *a = (Mat_MPIBAIJ*)A->data;
3857 
3858   PetscFunctionBegin;
3859   *Ad     = a->A;
3860   *Ao     = a->B;
3861   *colmap = a->garray;
3862   PetscFunctionReturn(0);
3863 }
3864 
3865 /*
3866     Special version for direct calls from Fortran (to eliminate two function call overheads
3867 */
3868 #if defined(PETSC_HAVE_FORTRAN_CAPS)
3869 #define matmpibaijsetvaluesblocked_ MATMPIBAIJSETVALUESBLOCKED
3870 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
3871 #define matmpibaijsetvaluesblocked_ matmpibaijsetvaluesblocked
3872 #endif
3873 
3874 #undef __FUNCT__
3875 #define __FUNCT__ "matmpibiajsetvaluesblocked"
3876 /*@C
3877   MatMPIBAIJSetValuesBlocked - Direct Fortran call to replace call to MatSetValuesBlocked()
3878 
3879   Collective on Mat
3880 
3881   Input Parameters:
3882 + mat - the matrix
3883 . min - number of input rows
3884 . im - input rows
3885 . nin - number of input columns
3886 . in - input columns
3887 . v - numerical values input
3888 - addvin - INSERT_VALUES or ADD_VALUES
3889 
3890   Notes: This has a complete copy of MatSetValuesBlocked_MPIBAIJ() which is terrible code un-reuse.
3891 
3892   Level: advanced
3893 
3894 .seealso:   MatSetValuesBlocked()
3895 @*/
3896 PetscErrorCode matmpibaijsetvaluesblocked_(Mat *matin,PetscInt *min,const PetscInt im[],PetscInt *nin,const PetscInt in[],const MatScalar v[],InsertMode *addvin)
3897 {
3898   /* convert input arguments to C version */
3899   Mat        mat  = *matin;
3900   PetscInt   m    = *min, n = *nin;
3901   InsertMode addv = *addvin;
3902 
3903   Mat_MPIBAIJ     *baij = (Mat_MPIBAIJ*)mat->data;
3904   const MatScalar *value;
3905   MatScalar       *barray     = baij->barray;
3906   PetscBool       roworiented = baij->roworiented;
3907   PetscErrorCode  ierr;
3908   PetscInt        i,j,ii,jj,row,col,rstart=baij->rstartbs;
3909   PetscInt        rend=baij->rendbs,cstart=baij->cstartbs,stepval;
3910   PetscInt        cend=baij->cendbs,bs=mat->rmap->bs,bs2=baij->bs2;
3911 
3912   PetscFunctionBegin;
3913   /* tasks normally handled by MatSetValuesBlocked() */
3914   if (mat->insertmode == NOT_SET_VALUES) mat->insertmode = addv;
3915 #if defined(PETSC_USE_DEBUG)
3916   else if (mat->insertmode != addv) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
3917   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3918 #endif
3919   if (mat->assembled) {
3920     mat->was_assembled = PETSC_TRUE;
3921     mat->assembled     = PETSC_FALSE;
3922   }
3923   ierr = PetscLogEventBegin(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
3924 
3925 
3926   if (!barray) {
3927     ierr         = PetscMalloc(bs2*sizeof(MatScalar),&barray);CHKERRQ(ierr);
3928     baij->barray = barray;
3929   }
3930 
3931   if (roworiented) stepval = (n-1)*bs;
3932   else stepval = (m-1)*bs;
3933 
3934   for (i=0; i<m; i++) {
3935     if (im[i] < 0) continue;
3936 #if defined(PETSC_USE_DEBUG)
3937     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);
3938 #endif
3939     if (im[i] >= rstart && im[i] < rend) {
3940       row = im[i] - rstart;
3941       for (j=0; j<n; j++) {
3942         /* If NumCol = 1 then a copy is not required */
3943         if ((roworiented) && (n == 1)) {
3944           barray = (MatScalar*)v + i*bs2;
3945         } else if ((!roworiented) && (m == 1)) {
3946           barray = (MatScalar*)v + j*bs2;
3947         } else { /* Here a copy is required */
3948           if (roworiented) {
3949             value = v + i*(stepval+bs)*bs + j*bs;
3950           } else {
3951             value = v + j*(stepval+bs)*bs + i*bs;
3952           }
3953           for (ii=0; ii<bs; ii++,value+=stepval) {
3954             for (jj=0; jj<bs; jj++) {
3955               *barray++ = *value++;
3956             }
3957           }
3958           barray -=bs2;
3959         }
3960 
3961         if (in[j] >= cstart && in[j] < cend) {
3962           col  = in[j] - cstart;
3963           ierr = MatSetValuesBlocked_SeqBAIJ(baij->A,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
3964         } else if (in[j] < 0) continue;
3965 #if defined(PETSC_USE_DEBUG)
3966         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);
3967 #endif
3968         else {
3969           if (mat->was_assembled) {
3970             if (!baij->colmap) {
3971               ierr = MatCreateColmap_MPIBAIJ_Private(mat);CHKERRQ(ierr);
3972             }
3973 
3974 #if defined(PETSC_USE_DEBUG)
3975 #if defined(PETSC_USE_CTABLE)
3976             { PetscInt data;
3977               ierr = PetscTableFind(baij->colmap,in[j]+1,&data);CHKERRQ(ierr);
3978               if ((data - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
3979             }
3980 #else
3981             if ((baij->colmap[in[j]] - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
3982 #endif
3983 #endif
3984 #if defined(PETSC_USE_CTABLE)
3985             ierr = PetscTableFind(baij->colmap,in[j]+1,&col);CHKERRQ(ierr);
3986             col  = (col - 1)/bs;
3987 #else
3988             col = (baij->colmap[in[j]] - 1)/bs;
3989 #endif
3990             if (col < 0 && !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
3991               ierr = MatDisAssemble_MPIBAIJ(mat);CHKERRQ(ierr);
3992               col  =  in[j];
3993             }
3994           } else col = in[j];
3995           ierr = MatSetValuesBlocked_SeqBAIJ(baij->B,1,&row,1,&col,barray,addv);CHKERRQ(ierr);
3996         }
3997       }
3998     } else {
3999       if (!baij->donotstash) {
4000         if (roworiented) {
4001           ierr = MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
4002         } else {
4003           ierr = MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);CHKERRQ(ierr);
4004         }
4005       }
4006     }
4007   }
4008 
4009   /* task normally handled by MatSetValuesBlocked() */
4010   ierr = PetscLogEventEnd(MAT_SetValues,mat,0,0,0);CHKERRQ(ierr);
4011   PetscFunctionReturn(0);
4012 }
4013 
4014 #undef __FUNCT__
4015 #define __FUNCT__ "MatCreateMPIBAIJWithArrays"
4016 /*@
4017      MatCreateMPIBAIJWithArrays - creates a MPI BAIJ matrix using arrays that contain in standard
4018          CSR format the local rows.
4019 
4020    Collective on MPI_Comm
4021 
4022    Input Parameters:
4023 +  comm - MPI communicator
4024 .  bs - the block size, only a block size of 1 is supported
4025 .  m - number of local rows (Cannot be PETSC_DECIDE)
4026 .  n - This value should be the same as the local size used in creating the
4027        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
4028        calculated if N is given) For square matrices n is almost always m.
4029 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
4030 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
4031 .   i - row indices
4032 .   j - column indices
4033 -   a - matrix values
4034 
4035    Output Parameter:
4036 .   mat - the matrix
4037 
4038    Level: intermediate
4039 
4040    Notes:
4041        The i, j, and a arrays ARE copied by this routine into the internal format used by PETSc;
4042      thus you CANNOT change the matrix entries by changing the values of a[] after you have
4043      called this routine. Use MatCreateMPIAIJWithSplitArrays() to avoid needing to copy the arrays.
4044 
4045        The i and j indices are 0 based, and i indices are indices corresponding to the local j array.
4046 
4047 .keywords: matrix, aij, compressed row, sparse, parallel
4048 
4049 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
4050           MPIAIJ, MatCreateAIJ(), MatCreateMPIAIJWithSplitArrays()
4051 @*/
4052 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)
4053 {
4054   PetscErrorCode ierr;
4055 
4056   PetscFunctionBegin;
4057   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
4058   if (m < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"local number of rows (m) cannot be PETSC_DECIDE, or negative");
4059   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4060   ierr = MatSetSizes(*mat,m,n,M,N);CHKERRQ(ierr);
4061   ierr = MatSetType(*mat,MATMPISBAIJ);CHKERRQ(ierr);
4062   ierr = MatMPIBAIJSetPreallocationCSR(*mat,bs,i,j,a);CHKERRQ(ierr);
4063   PetscFunctionReturn(0);
4064 }
4065