xref: /petsc/src/mat/impls/aij/mpi/mpiaij.c (revision 365a8a9ed7995f723d0d1fa67cbec4692bf1ff54)
1 
2 #include <../src/mat/impls/aij/mpi/mpiaij.h>   /*I "petscmat.h" I*/
3 #include <petsc-private/vecimpl.h>
4 #include <petscblaslapack.h>
5 
6 /*MC
7    MATAIJ - MATAIJ = "aij" - A matrix type to be used for sparse matrices.
8 
9    This matrix type is identical to MATSEQAIJ when constructed with a single process communicator,
10    and MATMPIAIJ otherwise.  As a result, for single process communicators,
11   MatSeqAIJSetPreallocation is supported, and similarly MatMPIAIJSetPreallocation is supported
12   for communicators controlling multiple processes.  It is recommended that you call both of
13   the above preallocation routines for simplicity.
14 
15    Options Database Keys:
16 . -mat_type aij - sets the matrix type to "aij" during a call to MatSetFromOptions()
17 
18   Developer Notes: Subclasses include MATAIJCUSP, MATAIJCUSPARSE, MATAIJPERM, MATAIJCRL, and also automatically switches over to use inodes when
19    enough exist.
20 
21   Level: beginner
22 
23 .seealso: MatCreateAIJ(), MatCreateSeqAIJ(), MATSEQAIJ,MATMPIAIJ
24 M*/
25 
26 /*MC
27    MATAIJCRL - MATAIJCRL = "aijcrl" - A matrix type to be used for sparse matrices.
28 
29    This matrix type is identical to MATSEQAIJCRL when constructed with a single process communicator,
30    and MATMPIAIJCRL otherwise.  As a result, for single process communicators,
31    MatSeqAIJSetPreallocation() is supported, and similarly MatMPIAIJSetPreallocation() is supported
32   for communicators controlling multiple processes.  It is recommended that you call both of
33   the above preallocation routines for simplicity.
34 
35    Options Database Keys:
36 . -mat_type aijcrl - sets the matrix type to "aijcrl" during a call to MatSetFromOptions()
37 
38   Level: beginner
39 
40 .seealso: MatCreateMPIAIJCRL,MATSEQAIJCRL,MATMPIAIJCRL, MATSEQAIJCRL, MATMPIAIJCRL
41 M*/
42 
43 #undef __FUNCT__
44 #define __FUNCT__ "MatFindNonzeroRows_MPIAIJ"
45 PetscErrorCode MatFindNonzeroRows_MPIAIJ(Mat M,IS *keptrows)
46 {
47   PetscErrorCode  ierr;
48   Mat_MPIAIJ      *mat = (Mat_MPIAIJ*)M->data;
49   Mat_SeqAIJ      *a   = (Mat_SeqAIJ*)mat->A->data;
50   Mat_SeqAIJ      *b   = (Mat_SeqAIJ*)mat->B->data;
51   const PetscInt  *ia,*ib;
52   const MatScalar *aa,*bb;
53   PetscInt        na,nb,i,j,*rows,cnt=0,n0rows;
54   PetscInt        m = M->rmap->n,rstart = M->rmap->rstart;
55 
56   PetscFunctionBegin;
57   *keptrows = 0;
58   ia        = a->i;
59   ib        = b->i;
60   for (i=0; i<m; i++) {
61     na = ia[i+1] - ia[i];
62     nb = ib[i+1] - ib[i];
63     if (!na && !nb) {
64       cnt++;
65       goto ok1;
66     }
67     aa = a->a + ia[i];
68     for (j=0; j<na; j++) {
69       if (aa[j] != 0.0) goto ok1;
70     }
71     bb = b->a + ib[i];
72     for (j=0; j <nb; j++) {
73       if (bb[j] != 0.0) goto ok1;
74     }
75     cnt++;
76 ok1:;
77   }
78   ierr = MPI_Allreduce(&cnt,&n0rows,1,MPIU_INT,MPI_SUM,PetscObjectComm((PetscObject)M));CHKERRQ(ierr);
79   if (!n0rows) PetscFunctionReturn(0);
80   ierr = PetscMalloc((M->rmap->n-cnt)*sizeof(PetscInt),&rows);CHKERRQ(ierr);
81   cnt  = 0;
82   for (i=0; i<m; i++) {
83     na = ia[i+1] - ia[i];
84     nb = ib[i+1] - ib[i];
85     if (!na && !nb) continue;
86     aa = a->a + ia[i];
87     for (j=0; j<na;j++) {
88       if (aa[j] != 0.0) {
89         rows[cnt++] = rstart + i;
90         goto ok2;
91       }
92     }
93     bb = b->a + ib[i];
94     for (j=0; j<nb; j++) {
95       if (bb[j] != 0.0) {
96         rows[cnt++] = rstart + i;
97         goto ok2;
98       }
99     }
100 ok2:;
101   }
102   ierr = ISCreateGeneral(PetscObjectComm((PetscObject)M),cnt,rows,PETSC_OWN_POINTER,keptrows);CHKERRQ(ierr);
103   PetscFunctionReturn(0);
104 }
105 
106 #undef __FUNCT__
107 #define __FUNCT__ "MatFindZeroDiagonals_MPIAIJ"
108 PetscErrorCode MatFindZeroDiagonals_MPIAIJ(Mat M,IS *zrows)
109 {
110   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)M->data;
111   PetscErrorCode ierr;
112   PetscInt       i,rstart,nrows,*rows;
113 
114   PetscFunctionBegin;
115   *zrows = NULL;
116   ierr   = MatFindZeroDiagonals_SeqAIJ_Private(aij->A,&nrows,&rows);CHKERRQ(ierr);
117   ierr   = MatGetOwnershipRange(M,&rstart,NULL);CHKERRQ(ierr);
118   for (i=0; i<nrows; i++) rows[i] += rstart;
119   ierr = ISCreateGeneral(PetscObjectComm((PetscObject)M),nrows,rows,PETSC_OWN_POINTER,zrows);CHKERRQ(ierr);
120   PetscFunctionReturn(0);
121 }
122 
123 #undef __FUNCT__
124 #define __FUNCT__ "MatGetColumnNorms_MPIAIJ"
125 PetscErrorCode MatGetColumnNorms_MPIAIJ(Mat A,NormType type,PetscReal *norms)
126 {
127   PetscErrorCode ierr;
128   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)A->data;
129   PetscInt       i,n,*garray = aij->garray;
130   Mat_SeqAIJ     *a_aij = (Mat_SeqAIJ*) aij->A->data;
131   Mat_SeqAIJ     *b_aij = (Mat_SeqAIJ*) aij->B->data;
132   PetscReal      *work;
133 
134   PetscFunctionBegin;
135   ierr = MatGetSize(A,NULL,&n);CHKERRQ(ierr);
136   ierr = PetscMalloc(n*sizeof(PetscReal),&work);CHKERRQ(ierr);
137   ierr = PetscMemzero(work,n*sizeof(PetscReal));CHKERRQ(ierr);
138   if (type == NORM_2) {
139     for (i=0; i<a_aij->i[aij->A->rmap->n]; i++) {
140       work[A->cmap->rstart + a_aij->j[i]] += PetscAbsScalar(a_aij->a[i]*a_aij->a[i]);
141     }
142     for (i=0; i<b_aij->i[aij->B->rmap->n]; i++) {
143       work[garray[b_aij->j[i]]] += PetscAbsScalar(b_aij->a[i]*b_aij->a[i]);
144     }
145   } else if (type == NORM_1) {
146     for (i=0; i<a_aij->i[aij->A->rmap->n]; i++) {
147       work[A->cmap->rstart + a_aij->j[i]] += PetscAbsScalar(a_aij->a[i]);
148     }
149     for (i=0; i<b_aij->i[aij->B->rmap->n]; i++) {
150       work[garray[b_aij->j[i]]] += PetscAbsScalar(b_aij->a[i]);
151     }
152   } else if (type == NORM_INFINITY) {
153     for (i=0; i<a_aij->i[aij->A->rmap->n]; i++) {
154       work[A->cmap->rstart + a_aij->j[i]] = PetscMax(PetscAbsScalar(a_aij->a[i]), work[A->cmap->rstart + a_aij->j[i]]);
155     }
156     for (i=0; i<b_aij->i[aij->B->rmap->n]; i++) {
157       work[garray[b_aij->j[i]]] = PetscMax(PetscAbsScalar(b_aij->a[i]),work[garray[b_aij->j[i]]]);
158     }
159 
160   } else SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONG,"Unknown NormType");
161   if (type == NORM_INFINITY) {
162     ierr = MPI_Allreduce(work,norms,n,MPIU_REAL,MPIU_MAX,A->hdr.comm);CHKERRQ(ierr);
163   } else {
164     ierr = MPI_Allreduce(work,norms,n,MPIU_REAL,MPIU_SUM,A->hdr.comm);CHKERRQ(ierr);
165   }
166   ierr = PetscFree(work);CHKERRQ(ierr);
167   if (type == NORM_2) {
168     for (i=0; i<n; i++) norms[i] = PetscSqrtReal(norms[i]);
169   }
170   PetscFunctionReturn(0);
171 }
172 
173 #undef __FUNCT__
174 #define __FUNCT__ "MatDistribute_MPIAIJ"
175 /*
176     Distributes a SeqAIJ matrix across a set of processes. Code stolen from
177     MatLoad_MPIAIJ(). Horrible lack of reuse. Should be a routine for each matrix type.
178 
179     Only for square matrices
180 
181     Used by a preconditioner, hence PETSC_EXTERN
182 */
183 PETSC_EXTERN PetscErrorCode MatDistribute_MPIAIJ(MPI_Comm comm,Mat gmat,PetscInt m,MatReuse reuse,Mat *inmat)
184 {
185   PetscMPIInt    rank,size;
186   PetscInt       *rowners,*dlens,*olens,i,rstart,rend,j,jj,nz,*gmataj,cnt,row,*ld,bses[2];
187   PetscErrorCode ierr;
188   Mat            mat;
189   Mat_SeqAIJ     *gmata;
190   PetscMPIInt    tag;
191   MPI_Status     status;
192   PetscBool      aij;
193   MatScalar      *gmataa,*ao,*ad,*gmataarestore=0;
194 
195   PetscFunctionBegin;
196   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
197   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
198   if (!rank) {
199     ierr = PetscObjectTypeCompare((PetscObject)gmat,MATSEQAIJ,&aij);CHKERRQ(ierr);
200     if (!aij) SETERRQ1(PetscObjectComm((PetscObject)gmat),PETSC_ERR_SUP,"Currently no support for input matrix of type %s\n",((PetscObject)gmat)->type_name);
201   }
202   if (reuse == MAT_INITIAL_MATRIX) {
203     ierr = MatCreate(comm,&mat);CHKERRQ(ierr);
204     ierr = MatSetSizes(mat,m,m,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
205     if (!rank) {
206       bses[0] = gmat->rmap->bs;
207       bses[1] = gmat->cmap->bs;
208     }
209     ierr = MPI_Bcast(bses,2,MPIU_INT,0,comm);CHKERRQ(ierr);
210     ierr = MatSetBlockSizes(mat,bses[0],bses[1]);CHKERRQ(ierr);
211     ierr = MatSetType(mat,MATAIJ);CHKERRQ(ierr);
212     ierr = PetscMalloc((size+1)*sizeof(PetscInt),&rowners);CHKERRQ(ierr);
213     ierr = PetscMalloc2(m,PetscInt,&dlens,m,PetscInt,&olens);CHKERRQ(ierr);
214     ierr = MPI_Allgather(&m,1,MPIU_INT,rowners+1,1,MPIU_INT,comm);CHKERRQ(ierr);
215 
216     rowners[0] = 0;
217     for (i=2; i<=size; i++) rowners[i] += rowners[i-1];
218     rstart = rowners[rank];
219     rend   = rowners[rank+1];
220     ierr   = PetscObjectGetNewTag((PetscObject)mat,&tag);CHKERRQ(ierr);
221     if (!rank) {
222       gmata = (Mat_SeqAIJ*) gmat->data;
223       /* send row lengths to all processors */
224       for (i=0; i<m; i++) dlens[i] = gmata->ilen[i];
225       for (i=1; i<size; i++) {
226         ierr = MPI_Send(gmata->ilen + rowners[i],rowners[i+1]-rowners[i],MPIU_INT,i,tag,comm);CHKERRQ(ierr);
227       }
228       /* determine number diagonal and off-diagonal counts */
229       ierr = PetscMemzero(olens,m*sizeof(PetscInt));CHKERRQ(ierr);
230       ierr = PetscMalloc(m*sizeof(PetscInt),&ld);CHKERRQ(ierr);
231       ierr = PetscMemzero(ld,m*sizeof(PetscInt));CHKERRQ(ierr);
232       jj   = 0;
233       for (i=0; i<m; i++) {
234         for (j=0; j<dlens[i]; j++) {
235           if (gmata->j[jj] < rstart) ld[i]++;
236           if (gmata->j[jj] < rstart || gmata->j[jj] >= rend) olens[i]++;
237           jj++;
238         }
239       }
240       /* send column indices to other processes */
241       for (i=1; i<size; i++) {
242         nz   = gmata->i[rowners[i+1]]-gmata->i[rowners[i]];
243         ierr = MPI_Send(&nz,1,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
244         ierr = MPI_Send(gmata->j + gmata->i[rowners[i]],nz,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
245       }
246 
247       /* send numerical values to other processes */
248       for (i=1; i<size; i++) {
249         nz   = gmata->i[rowners[i+1]]-gmata->i[rowners[i]];
250         ierr = MPI_Send(gmata->a + gmata->i[rowners[i]],nz,MPIU_SCALAR,i,tag,comm);CHKERRQ(ierr);
251       }
252       gmataa = gmata->a;
253       gmataj = gmata->j;
254 
255     } else {
256       /* receive row lengths */
257       ierr = MPI_Recv(dlens,m,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
258       /* receive column indices */
259       ierr = MPI_Recv(&nz,1,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
260       ierr = PetscMalloc2(nz,PetscScalar,&gmataa,nz,PetscInt,&gmataj);CHKERRQ(ierr);
261       ierr = MPI_Recv(gmataj,nz,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
262       /* determine number diagonal and off-diagonal counts */
263       ierr = PetscMemzero(olens,m*sizeof(PetscInt));CHKERRQ(ierr);
264       ierr = PetscMalloc(m*sizeof(PetscInt),&ld);CHKERRQ(ierr);
265       ierr = PetscMemzero(ld,m*sizeof(PetscInt));CHKERRQ(ierr);
266       jj   = 0;
267       for (i=0; i<m; i++) {
268         for (j=0; j<dlens[i]; j++) {
269           if (gmataj[jj] < rstart) ld[i]++;
270           if (gmataj[jj] < rstart || gmataj[jj] >= rend) olens[i]++;
271           jj++;
272         }
273       }
274       /* receive numerical values */
275       ierr = PetscMemzero(gmataa,nz*sizeof(PetscScalar));CHKERRQ(ierr);
276       ierr = MPI_Recv(gmataa,nz,MPIU_SCALAR,0,tag,comm,&status);CHKERRQ(ierr);
277     }
278     /* set preallocation */
279     for (i=0; i<m; i++) {
280       dlens[i] -= olens[i];
281     }
282     ierr = MatSeqAIJSetPreallocation(mat,0,dlens);CHKERRQ(ierr);
283     ierr = MatMPIAIJSetPreallocation(mat,0,dlens,0,olens);CHKERRQ(ierr);
284 
285     for (i=0; i<m; i++) {
286       dlens[i] += olens[i];
287     }
288     cnt = 0;
289     for (i=0; i<m; i++) {
290       row  = rstart + i;
291       ierr = MatSetValues(mat,1,&row,dlens[i],gmataj+cnt,gmataa+cnt,INSERT_VALUES);CHKERRQ(ierr);
292       cnt += dlens[i];
293     }
294     if (rank) {
295       ierr = PetscFree2(gmataa,gmataj);CHKERRQ(ierr);
296     }
297     ierr = PetscFree2(dlens,olens);CHKERRQ(ierr);
298     ierr = PetscFree(rowners);CHKERRQ(ierr);
299 
300     ((Mat_MPIAIJ*)(mat->data))->ld = ld;
301 
302     *inmat = mat;
303   } else {   /* column indices are already set; only need to move over numerical values from process 0 */
304     Mat_SeqAIJ *Ad = (Mat_SeqAIJ*)((Mat_MPIAIJ*)((*inmat)->data))->A->data;
305     Mat_SeqAIJ *Ao = (Mat_SeqAIJ*)((Mat_MPIAIJ*)((*inmat)->data))->B->data;
306     mat  = *inmat;
307     ierr = PetscObjectGetNewTag((PetscObject)mat,&tag);CHKERRQ(ierr);
308     if (!rank) {
309       /* send numerical values to other processes */
310       gmata  = (Mat_SeqAIJ*) gmat->data;
311       ierr   = MatGetOwnershipRanges(mat,(const PetscInt**)&rowners);CHKERRQ(ierr);
312       gmataa = gmata->a;
313       for (i=1; i<size; i++) {
314         nz   = gmata->i[rowners[i+1]]-gmata->i[rowners[i]];
315         ierr = MPI_Send(gmataa + gmata->i[rowners[i]],nz,MPIU_SCALAR,i,tag,comm);CHKERRQ(ierr);
316       }
317       nz = gmata->i[rowners[1]]-gmata->i[rowners[0]];
318     } else {
319       /* receive numerical values from process 0*/
320       nz   = Ad->nz + Ao->nz;
321       ierr = PetscMalloc(nz*sizeof(PetscScalar),&gmataa);CHKERRQ(ierr); gmataarestore = gmataa;
322       ierr = MPI_Recv(gmataa,nz,MPIU_SCALAR,0,tag,comm,&status);CHKERRQ(ierr);
323     }
324     /* transfer numerical values into the diagonal A and off diagonal B parts of mat */
325     ld = ((Mat_MPIAIJ*)(mat->data))->ld;
326     ad = Ad->a;
327     ao = Ao->a;
328     if (mat->rmap->n) {
329       i  = 0;
330       nz = ld[i];                                   ierr = PetscMemcpy(ao,gmataa,nz*sizeof(PetscScalar));CHKERRQ(ierr); ao += nz; gmataa += nz;
331       nz = Ad->i[i+1] - Ad->i[i];                   ierr = PetscMemcpy(ad,gmataa,nz*sizeof(PetscScalar));CHKERRQ(ierr); ad += nz; gmataa += nz;
332     }
333     for (i=1; i<mat->rmap->n; i++) {
334       nz = Ao->i[i] - Ao->i[i-1] - ld[i-1] + ld[i]; ierr = PetscMemcpy(ao,gmataa,nz*sizeof(PetscScalar));CHKERRQ(ierr); ao += nz; gmataa += nz;
335       nz = Ad->i[i+1] - Ad->i[i];                   ierr = PetscMemcpy(ad,gmataa,nz*sizeof(PetscScalar));CHKERRQ(ierr); ad += nz; gmataa += nz;
336     }
337     i--;
338     if (mat->rmap->n) {
339       nz = Ao->i[i+1] - Ao->i[i] - ld[i];           ierr = PetscMemcpy(ao,gmataa,nz*sizeof(PetscScalar));CHKERRQ(ierr);
340     }
341     if (rank) {
342       ierr = PetscFree(gmataarestore);CHKERRQ(ierr);
343     }
344   }
345   ierr = MatAssemblyBegin(mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
346   ierr = MatAssemblyEnd(mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
347   PetscFunctionReturn(0);
348 }
349 
350 /*
351   Local utility routine that creates a mapping from the global column
352 number to the local number in the off-diagonal part of the local
353 storage of the matrix.  When PETSC_USE_CTABLE is used this is scalable at
354 a slightly higher hash table cost; without it it is not scalable (each processor
355 has an order N integer array but is fast to acess.
356 */
357 #undef __FUNCT__
358 #define __FUNCT__ "MatCreateColmap_MPIAIJ_Private"
359 PetscErrorCode MatCreateColmap_MPIAIJ_Private(Mat mat)
360 {
361   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)mat->data;
362   PetscErrorCode ierr;
363   PetscInt       n = aij->B->cmap->n,i;
364 
365   PetscFunctionBegin;
366   if (!aij->garray) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"MPIAIJ Matrix was assembled but is missing garray");
367 #if defined(PETSC_USE_CTABLE)
368   ierr = PetscTableCreate(n,mat->cmap->N+1,&aij->colmap);CHKERRQ(ierr);
369   for (i=0; i<n; i++) {
370     ierr = PetscTableAdd(aij->colmap,aij->garray[i]+1,i+1,INSERT_VALUES);CHKERRQ(ierr);
371   }
372 #else
373   ierr = PetscMalloc((mat->cmap->N+1)*sizeof(PetscInt),&aij->colmap);CHKERRQ(ierr);
374   ierr = PetscLogObjectMemory(mat,mat->cmap->N*sizeof(PetscInt));CHKERRQ(ierr);
375   ierr = PetscMemzero(aij->colmap,mat->cmap->N*sizeof(PetscInt));CHKERRQ(ierr);
376   for (i=0; i<n; i++) aij->colmap[aij->garray[i]] = i+1;
377 #endif
378   PetscFunctionReturn(0);
379 }
380 
381 #define MatSetValues_SeqAIJ_A_Private(row,col,value,addv) \
382 { \
383     if (col <= lastcol1)  low1 = 0;     \
384     else                 high1 = nrow1; \
385     lastcol1 = col;\
386     while (high1-low1 > 5) { \
387       t = (low1+high1)/2; \
388       if (rp1[t] > col) high1 = t; \
389       else              low1  = t; \
390     } \
391       for (_i=low1; _i<high1; _i++) { \
392         if (rp1[_i] > col) break; \
393         if (rp1[_i] == col) { \
394           if (addv == ADD_VALUES) ap1[_i] += value;   \
395           else                    ap1[_i] = value; \
396           goto a_noinsert; \
397         } \
398       }  \
399       if (value == 0.0 && ignorezeroentries) {low1 = 0; high1 = nrow1;goto a_noinsert;} \
400       if (nonew == 1) {low1 = 0; high1 = nrow1; goto a_noinsert;}                \
401       if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", row, col); \
402       MatSeqXAIJReallocateAIJ(A,am,1,nrow1,row,col,rmax1,aa,ai,aj,rp1,ap1,aimax,nonew,MatScalar); \
403       N = nrow1++ - 1; a->nz++; high1++; \
404       /* shift up all the later entries in this row */ \
405       for (ii=N; ii>=_i; ii--) { \
406         rp1[ii+1] = rp1[ii]; \
407         ap1[ii+1] = ap1[ii]; \
408       } \
409       rp1[_i] = col;  \
410       ap1[_i] = value;  \
411       a_noinsert: ; \
412       ailen[row] = nrow1; \
413 }
414 
415 
416 #define MatSetValues_SeqAIJ_B_Private(row,col,value,addv) \
417   { \
418     if (col <= lastcol2) low2 = 0;                        \
419     else high2 = nrow2;                                   \
420     lastcol2 = col;                                       \
421     while (high2-low2 > 5) {                              \
422       t = (low2+high2)/2;                                 \
423       if (rp2[t] > col) high2 = t;                        \
424       else             low2  = t;                         \
425     }                                                     \
426     for (_i=low2; _i<high2; _i++) {                       \
427       if (rp2[_i] > col) break;                           \
428       if (rp2[_i] == col) {                               \
429         if (addv == ADD_VALUES) ap2[_i] += value;         \
430         else                    ap2[_i] = value;          \
431         goto b_noinsert;                                  \
432       }                                                   \
433     }                                                     \
434     if (value == 0.0 && ignorezeroentries) {low2 = 0; high2 = nrow2; goto b_noinsert;} \
435     if (nonew == 1) {low2 = 0; high2 = nrow2; goto b_noinsert;}                        \
436     if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", row, col); \
437     MatSeqXAIJReallocateAIJ(B,bm,1,nrow2,row,col,rmax2,ba,bi,bj,rp2,ap2,bimax,nonew,MatScalar); \
438     N = nrow2++ - 1; b->nz++; high2++;                    \
439     /* shift up all the later entries in this row */      \
440     for (ii=N; ii>=_i; ii--) {                            \
441       rp2[ii+1] = rp2[ii];                                \
442       ap2[ii+1] = ap2[ii];                                \
443     }                                                     \
444     rp2[_i] = col;                                        \
445     ap2[_i] = value;                                      \
446     b_noinsert: ;                                         \
447     bilen[row] = nrow2;                                   \
448   }
449 
450 #undef __FUNCT__
451 #define __FUNCT__ "MatSetValuesRow_MPIAIJ"
452 PetscErrorCode MatSetValuesRow_MPIAIJ(Mat A,PetscInt row,const PetscScalar v[])
453 {
454   Mat_MPIAIJ     *mat = (Mat_MPIAIJ*)A->data;
455   Mat_SeqAIJ     *a   = (Mat_SeqAIJ*)mat->A->data,*b = (Mat_SeqAIJ*)mat->B->data;
456   PetscErrorCode ierr;
457   PetscInt       l,*garray = mat->garray,diag;
458 
459   PetscFunctionBegin;
460   /* code only works for square matrices A */
461 
462   /* find size of row to the left of the diagonal part */
463   ierr = MatGetOwnershipRange(A,&diag,0);CHKERRQ(ierr);
464   row  = row - diag;
465   for (l=0; l<b->i[row+1]-b->i[row]; l++) {
466     if (garray[b->j[b->i[row]+l]] > diag) break;
467   }
468   ierr = PetscMemcpy(b->a+b->i[row],v,l*sizeof(PetscScalar));CHKERRQ(ierr);
469 
470   /* diagonal part */
471   ierr = PetscMemcpy(a->a+a->i[row],v+l,(a->i[row+1]-a->i[row])*sizeof(PetscScalar));CHKERRQ(ierr);
472 
473   /* right of diagonal part */
474   ierr = PetscMemcpy(b->a+b->i[row]+l,v+l+a->i[row+1]-a->i[row],(b->i[row+1]-b->i[row]-l)*sizeof(PetscScalar));CHKERRQ(ierr);
475   PetscFunctionReturn(0);
476 }
477 
478 #undef __FUNCT__
479 #define __FUNCT__ "MatSetValues_MPIAIJ"
480 PetscErrorCode MatSetValues_MPIAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
481 {
482   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)mat->data;
483   PetscScalar    value;
484   PetscErrorCode ierr;
485   PetscInt       i,j,rstart  = mat->rmap->rstart,rend = mat->rmap->rend;
486   PetscInt       cstart      = mat->cmap->rstart,cend = mat->cmap->rend,row,col;
487   PetscBool      roworiented = aij->roworiented;
488 
489   /* Some Variables required in the macro */
490   Mat        A                 = aij->A;
491   Mat_SeqAIJ *a                = (Mat_SeqAIJ*)A->data;
492   PetscInt   *aimax            = a->imax,*ai = a->i,*ailen = a->ilen,*aj = a->j;
493   MatScalar  *aa               = a->a;
494   PetscBool  ignorezeroentries = a->ignorezeroentries;
495   Mat        B                 = aij->B;
496   Mat_SeqAIJ *b                = (Mat_SeqAIJ*)B->data;
497   PetscInt   *bimax            = b->imax,*bi = b->i,*bilen = b->ilen,*bj = b->j,bm = aij->B->rmap->n,am = aij->A->rmap->n;
498   MatScalar  *ba               = b->a;
499 
500   PetscInt  *rp1,*rp2,ii,nrow1,nrow2,_i,rmax1,rmax2,N,low1,high1,low2,high2,t,lastcol1,lastcol2;
501   PetscInt  nonew;
502   MatScalar *ap1,*ap2;
503 
504   PetscFunctionBegin;
505   if (v) PetscValidScalarPointer(v,6);
506   for (i=0; i<m; i++) {
507     if (im[i] < 0) continue;
508 #if defined(PETSC_USE_DEBUG)
509     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);
510 #endif
511     if (im[i] >= rstart && im[i] < rend) {
512       row      = im[i] - rstart;
513       lastcol1 = -1;
514       rp1      = aj + ai[row];
515       ap1      = aa + ai[row];
516       rmax1    = aimax[row];
517       nrow1    = ailen[row];
518       low1     = 0;
519       high1    = nrow1;
520       lastcol2 = -1;
521       rp2      = bj + bi[row];
522       ap2      = ba + bi[row];
523       rmax2    = bimax[row];
524       nrow2    = bilen[row];
525       low2     = 0;
526       high2    = nrow2;
527 
528       for (j=0; j<n; j++) {
529         if (v) {
530           if (roworiented) value = v[i*n+j];
531           else             value = v[i+j*m];
532         } else value = 0.0;
533         if (ignorezeroentries && value == 0.0 && (addv == ADD_VALUES)) continue;
534         if (in[j] >= cstart && in[j] < cend) {
535           col   = in[j] - cstart;
536           nonew = a->nonew;
537           MatSetValues_SeqAIJ_A_Private(row,col,value,addv);
538         } else if (in[j] < 0) continue;
539 #if defined(PETSC_USE_DEBUG)
540         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);
541 #endif
542         else {
543           if (mat->was_assembled) {
544             if (!aij->colmap) {
545               ierr = MatCreateColmap_MPIAIJ_Private(mat);CHKERRQ(ierr);
546             }
547 #if defined(PETSC_USE_CTABLE)
548             ierr = PetscTableFind(aij->colmap,in[j]+1,&col);CHKERRQ(ierr);
549             col--;
550 #else
551             col = aij->colmap[in[j]] - 1;
552 #endif
553             if (col < 0 && !((Mat_SeqAIJ*)(aij->B->data))->nonew) {
554               ierr = MatDisAssemble_MPIAIJ(mat);CHKERRQ(ierr);
555               col  =  in[j];
556               /* Reinitialize the variables required by MatSetValues_SeqAIJ_B_Private() */
557               B     = aij->B;
558               b     = (Mat_SeqAIJ*)B->data;
559               bimax = b->imax; bi = b->i; bilen = b->ilen; bj = b->j; ba = b->a;
560               rp2   = bj + bi[row];
561               ap2   = ba + bi[row];
562               rmax2 = bimax[row];
563               nrow2 = bilen[row];
564               low2  = 0;
565               high2 = nrow2;
566               bm    = aij->B->rmap->n;
567               ba    = b->a;
568             } else if (col < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", im[i], in[j]);
569           } else col = in[j];
570           nonew = b->nonew;
571           MatSetValues_SeqAIJ_B_Private(row,col,value,addv);
572         }
573       }
574     } else {
575       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]);
576       if (!aij->donotstash) {
577         mat->assembled = PETSC_FALSE;
578         if (roworiented) {
579           ierr = MatStashValuesRow_Private(&mat->stash,im[i],n,in,v+i*n,(PetscBool)(ignorezeroentries && (addv == ADD_VALUES)));CHKERRQ(ierr);
580         } else {
581           ierr = MatStashValuesCol_Private(&mat->stash,im[i],n,in,v+i,m,(PetscBool)(ignorezeroentries && (addv == ADD_VALUES)));CHKERRQ(ierr);
582         }
583       }
584     }
585   }
586   PetscFunctionReturn(0);
587 }
588 
589 #undef __FUNCT__
590 #define __FUNCT__ "MatGetValues_MPIAIJ"
591 PetscErrorCode MatGetValues_MPIAIJ(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],PetscScalar v[])
592 {
593   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)mat->data;
594   PetscErrorCode ierr;
595   PetscInt       i,j,rstart = mat->rmap->rstart,rend = mat->rmap->rend;
596   PetscInt       cstart = mat->cmap->rstart,cend = mat->cmap->rend,row,col;
597 
598   PetscFunctionBegin;
599   for (i=0; i<m; i++) {
600     if (idxm[i] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",idxm[i]);*/
601     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);
602     if (idxm[i] >= rstart && idxm[i] < rend) {
603       row = idxm[i] - rstart;
604       for (j=0; j<n; j++) {
605         if (idxn[j] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column: %D",idxn[j]); */
606         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);
607         if (idxn[j] >= cstart && idxn[j] < cend) {
608           col  = idxn[j] - cstart;
609           ierr = MatGetValues(aij->A,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
610         } else {
611           if (!aij->colmap) {
612             ierr = MatCreateColmap_MPIAIJ_Private(mat);CHKERRQ(ierr);
613           }
614 #if defined(PETSC_USE_CTABLE)
615           ierr = PetscTableFind(aij->colmap,idxn[j]+1,&col);CHKERRQ(ierr);
616           col--;
617 #else
618           col = aij->colmap[idxn[j]] - 1;
619 #endif
620           if ((col < 0) || (aij->garray[col] != idxn[j])) *(v+i*n+j) = 0.0;
621           else {
622             ierr = MatGetValues(aij->B,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
623           }
624         }
625       }
626     } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local values currently supported");
627   }
628   PetscFunctionReturn(0);
629 }
630 
631 extern PetscErrorCode MatMultDiagonalBlock_MPIAIJ(Mat,Vec,Vec);
632 
633 #undef __FUNCT__
634 #define __FUNCT__ "MatAssemblyBegin_MPIAIJ"
635 PetscErrorCode MatAssemblyBegin_MPIAIJ(Mat mat,MatAssemblyType mode)
636 {
637   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)mat->data;
638   PetscErrorCode ierr;
639   PetscInt       nstash,reallocs;
640   InsertMode     addv;
641 
642   PetscFunctionBegin;
643   if (aij->donotstash || mat->nooffprocentries) PetscFunctionReturn(0);
644 
645   /* make sure all processors are either in INSERTMODE or ADDMODE */
646   ierr = MPI_Allreduce((PetscEnum*)&mat->insertmode,(PetscEnum*)&addv,1,MPIU_ENUM,MPI_BOR,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
647   if (addv == (ADD_VALUES|INSERT_VALUES)) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_WRONGSTATE,"Some processors inserted others added");
648   mat->insertmode = addv; /* in case this processor had no cache */
649 
650   ierr = MatStashScatterBegin_Private(mat,&mat->stash,mat->rmap->range);CHKERRQ(ierr);
651   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
652   ierr = PetscInfo2(aij->A,"Stash has %D entries, uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
653   PetscFunctionReturn(0);
654 }
655 
656 #undef __FUNCT__
657 #define __FUNCT__ "MatAssemblyEnd_MPIAIJ"
658 PetscErrorCode MatAssemblyEnd_MPIAIJ(Mat mat,MatAssemblyType mode)
659 {
660   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)mat->data;
661   Mat_SeqAIJ     *a   = (Mat_SeqAIJ*)aij->A->data;
662   PetscErrorCode ierr;
663   PetscMPIInt    n;
664   PetscInt       i,j,rstart,ncols,flg;
665   PetscInt       *row,*col;
666   PetscBool      other_disassembled;
667   PetscScalar    *val;
668   InsertMode     addv = mat->insertmode;
669 
670   /* do not use 'b = (Mat_SeqAIJ*)aij->B->data' as B can be reset in disassembly */
671 
672   PetscFunctionBegin;
673   if (!aij->donotstash && !mat->nooffprocentries) {
674     while (1) {
675       ierr = MatStashScatterGetMesg_Private(&mat->stash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
676       if (!flg) break;
677 
678       for (i=0; i<n; ) {
679         /* Now identify the consecutive vals belonging to the same row */
680         for (j=i,rstart=row[j]; j<n; j++) {
681           if (row[j] != rstart) break;
682         }
683         if (j < n) ncols = j-i;
684         else       ncols = n-i;
685         /* Now assemble all these values with a single function call */
686         ierr = MatSetValues_MPIAIJ(mat,1,row+i,ncols,col+i,val+i,addv);CHKERRQ(ierr);
687 
688         i = j;
689       }
690     }
691     ierr = MatStashScatterEnd_Private(&mat->stash);CHKERRQ(ierr);
692   }
693   ierr = MatAssemblyBegin(aij->A,mode);CHKERRQ(ierr);
694   ierr = MatAssemblyEnd(aij->A,mode);CHKERRQ(ierr);
695 
696   /* determine if any processor has disassembled, if so we must
697      also disassemble ourselfs, in order that we may reassemble. */
698   /*
699      if nonzero structure of submatrix B cannot change then we know that
700      no processor disassembled thus we can skip this stuff
701   */
702   if (!((Mat_SeqAIJ*)aij->B->data)->nonew) {
703     ierr = MPI_Allreduce(&mat->was_assembled,&other_disassembled,1,MPIU_BOOL,MPI_PROD,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
704     if (mat->was_assembled && !other_disassembled) {
705       ierr = MatDisAssemble_MPIAIJ(mat);CHKERRQ(ierr);
706     }
707   }
708   if (!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) {
709     ierr = MatSetUpMultiply_MPIAIJ(mat);CHKERRQ(ierr);
710   }
711   ierr = MatSetOption(aij->B,MAT_USE_INODES,PETSC_FALSE);CHKERRQ(ierr);
712   ierr = MatSetOption(aij->B,MAT_CHECK_COMPRESSED_ROW,PETSC_FALSE);CHKERRQ(ierr);
713   ierr = MatAssemblyBegin(aij->B,mode);CHKERRQ(ierr);
714   ierr = MatAssemblyEnd(aij->B,mode);CHKERRQ(ierr);
715 
716   ierr = PetscFree2(aij->rowvalues,aij->rowindices);CHKERRQ(ierr);
717 
718   aij->rowvalues = 0;
719 
720   /* used by MatAXPY() */
721   a->xtoy = 0; ((Mat_SeqAIJ*)aij->B->data)->xtoy = 0;   /* b->xtoy = 0 */
722   a->XtoY = 0; ((Mat_SeqAIJ*)aij->B->data)->XtoY = 0;   /* b->XtoY = 0 */
723 
724   ierr = VecDestroy(&aij->diag);CHKERRQ(ierr);
725   if (a->inode.size) mat->ops->multdiagonalblock = MatMultDiagonalBlock_MPIAIJ;
726   PetscFunctionReturn(0);
727 }
728 
729 #undef __FUNCT__
730 #define __FUNCT__ "MatZeroEntries_MPIAIJ"
731 PetscErrorCode MatZeroEntries_MPIAIJ(Mat A)
732 {
733   Mat_MPIAIJ     *l = (Mat_MPIAIJ*)A->data;
734   PetscErrorCode ierr;
735 
736   PetscFunctionBegin;
737   ierr = MatZeroEntries(l->A);CHKERRQ(ierr);
738   ierr = MatZeroEntries(l->B);CHKERRQ(ierr);
739   PetscFunctionReturn(0);
740 }
741 
742 #undef __FUNCT__
743 #define __FUNCT__ "MatZeroRows_MPIAIJ"
744 PetscErrorCode MatZeroRows_MPIAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
745 {
746   Mat_MPIAIJ        *l = (Mat_MPIAIJ*)A->data;
747   PetscErrorCode    ierr;
748   PetscMPIInt       size = l->size,imdex,n,rank = l->rank,tag = ((PetscObject)A)->tag,lastidx = -1;
749   PetscInt          i,*owners = A->rmap->range;
750   PetscInt          *nprocs,j,idx,nsends,row;
751   PetscInt          nmax,*svalues,*starts,*owner,nrecvs;
752   PetscInt          *rvalues,count,base,slen,*source;
753   PetscInt          *lens,*lrows,*values,rstart=A->rmap->rstart;
754   MPI_Comm          comm;
755   MPI_Request       *send_waits,*recv_waits;
756   MPI_Status        recv_status,*send_status;
757   const PetscScalar *xx;
758   PetscScalar       *bb;
759 #if defined(PETSC_DEBUG)
760   PetscBool found = PETSC_FALSE;
761 #endif
762 
763   PetscFunctionBegin;
764   ierr = PetscObjectGetComm((PetscObject)A,&comm);CHKERRQ(ierr);
765   /*  first count number of contributors to each processor */
766   ierr = PetscMalloc(2*size*sizeof(PetscInt),&nprocs);CHKERRQ(ierr);
767   ierr = PetscMemzero(nprocs,2*size*sizeof(PetscInt));CHKERRQ(ierr);
768   ierr = PetscMalloc((N+1)*sizeof(PetscInt),&owner);CHKERRQ(ierr); /* see note*/
769   j    = 0;
770   for (i=0; i<N; i++) {
771     if (lastidx > (idx = rows[i])) j = 0;
772     lastidx = idx;
773     for (; j<size; j++) {
774       if (idx >= owners[j] && idx < owners[j+1]) {
775         nprocs[2*j]++;
776         nprocs[2*j+1] = 1;
777         owner[i]      = j;
778 #if defined(PETSC_DEBUG)
779         found = PETSC_TRUE;
780 #endif
781         break;
782       }
783     }
784 #if defined(PETSC_DEBUG)
785     if (!found) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Index out of range");
786     found = PETSC_FALSE;
787 #endif
788   }
789   nsends = 0;
790   for (i=0; i<size; i++) nsends += nprocs[2*i+1];
791 
792   if (A->nooffproczerorows) {
793     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");
794     nrecvs = nsends;
795     nmax   = N;
796   } else {
797     /* inform other processors of number of messages and max length*/
798     ierr = PetscMaxSum(comm,nprocs,&nmax,&nrecvs);CHKERRQ(ierr);
799   }
800 
801   /* post receives:   */
802   ierr = PetscMalloc((nrecvs+1)*(nmax+1)*sizeof(PetscInt),&rvalues);CHKERRQ(ierr);
803   ierr = PetscMalloc((nrecvs+1)*sizeof(MPI_Request),&recv_waits);CHKERRQ(ierr);
804   for (i=0; i<nrecvs; i++) {
805     ierr = MPI_Irecv(rvalues+nmax*i,nmax,MPIU_INT,MPI_ANY_SOURCE,tag,comm,recv_waits+i);CHKERRQ(ierr);
806   }
807 
808   /* do sends:
809       1) starts[i] gives the starting index in svalues for stuff going to
810          the ith processor
811   */
812   ierr = PetscMalloc((N+1)*sizeof(PetscInt),&svalues);CHKERRQ(ierr);
813   ierr = PetscMalloc((nsends+1)*sizeof(MPI_Request),&send_waits);CHKERRQ(ierr);
814   ierr = PetscMalloc((size+1)*sizeof(PetscInt),&starts);CHKERRQ(ierr);
815 
816   starts[0] = 0;
817   for (i=1; i<size; i++) starts[i] = starts[i-1] + nprocs[2*i-2];
818   for (i=0; i<N; i++) svalues[starts[owner[i]]++] = rows[i];
819 
820   starts[0] = 0;
821   for (i=1; i<size+1; i++) starts[i] = starts[i-1] + nprocs[2*i-2];
822   count = 0;
823   for (i=0; i<size; i++) {
824     if (nprocs[2*i+1]) {
825       ierr = MPI_Isend(svalues+starts[i],nprocs[2*i],MPIU_INT,i,tag,comm,send_waits+count++);CHKERRQ(ierr);
826     }
827   }
828   ierr = PetscFree(starts);CHKERRQ(ierr);
829 
830   base = owners[rank];
831 
832   /*  wait on receives */
833   ierr  = PetscMalloc2(nrecvs,PetscInt,&lens,nrecvs,PetscInt,&source);CHKERRQ(ierr);
834   count = nrecvs; slen = 0;
835   while (count) {
836     ierr = MPI_Waitany(nrecvs,recv_waits,&imdex,&recv_status);CHKERRQ(ierr);
837     /* unpack receives into our local space */
838     ierr = MPI_Get_count(&recv_status,MPIU_INT,&n);CHKERRQ(ierr);
839 
840     source[imdex] = recv_status.MPI_SOURCE;
841     lens[imdex]   = n;
842     slen         += n;
843     count--;
844   }
845   ierr = PetscFree(recv_waits);CHKERRQ(ierr);
846 
847   /* move the data into the send scatter */
848   ierr  = PetscMalloc((slen+1)*sizeof(PetscInt),&lrows);CHKERRQ(ierr);
849   count = 0;
850   for (i=0; i<nrecvs; i++) {
851     values = rvalues + i*nmax;
852     for (j=0; j<lens[i]; j++) lrows[count++] = values[j] - base;
853   }
854   ierr = PetscFree(rvalues);CHKERRQ(ierr);
855   ierr = PetscFree2(lens,source);CHKERRQ(ierr);
856   ierr = PetscFree(owner);CHKERRQ(ierr);
857   ierr = PetscFree(nprocs);CHKERRQ(ierr);
858 
859   /* fix right hand side if needed */
860   if (x && b) {
861     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
862     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
863     for (i=0; i<slen; i++) bb[lrows[i]] = diag*xx[lrows[i]];
864     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
865     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
866   }
867   /*
868         Zero the required rows. If the "diagonal block" of the matrix
869      is square and the user wishes to set the diagonal we use separate
870      code so that MatSetValues() is not called for each diagonal allocating
871      new memory, thus calling lots of mallocs and slowing things down.
872 
873   */
874   /* must zero l->B before l->A because the (diag) case below may put values into l->B*/
875   ierr = MatZeroRows(l->B,slen,lrows,0.0,0,0);CHKERRQ(ierr);
876   if ((diag != 0.0) && (l->A->rmap->N == l->A->cmap->N)) {
877     ierr = MatZeroRows(l->A,slen,lrows,diag,0,0);CHKERRQ(ierr);
878   } else if (diag != 0.0) {
879     ierr = MatZeroRows(l->A,slen,lrows,0.0,0,0);CHKERRQ(ierr);
880     if (((Mat_SeqAIJ*)l->A->data)->nonew) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatZeroRows() on rectangular matrices cannot be used with the Mat options\nMAT_NEW_NONZERO_LOCATIONS,MAT_NEW_NONZERO_LOCATION_ERR,MAT_NEW_NONZERO_ALLOCATION_ERR");
881     for (i = 0; i < slen; i++) {
882       row  = lrows[i] + rstart;
883       ierr = MatSetValues(A,1,&row,1,&row,&diag,INSERT_VALUES);CHKERRQ(ierr);
884     }
885     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
886     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
887   } else {
888     ierr = MatZeroRows(l->A,slen,lrows,0.0,0,0);CHKERRQ(ierr);
889   }
890   ierr = PetscFree(lrows);CHKERRQ(ierr);
891 
892   /* wait on sends */
893   if (nsends) {
894     ierr = PetscMalloc(nsends*sizeof(MPI_Status),&send_status);CHKERRQ(ierr);
895     ierr = MPI_Waitall(nsends,send_waits,send_status);CHKERRQ(ierr);
896     ierr = PetscFree(send_status);CHKERRQ(ierr);
897   }
898   ierr = PetscFree(send_waits);CHKERRQ(ierr);
899   ierr = PetscFree(svalues);CHKERRQ(ierr);
900   PetscFunctionReturn(0);
901 }
902 
903 #undef __FUNCT__
904 #define __FUNCT__ "MatZeroRowsColumns_MPIAIJ"
905 PetscErrorCode MatZeroRowsColumns_MPIAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
906 {
907   Mat_MPIAIJ        *l = (Mat_MPIAIJ*)A->data;
908   PetscErrorCode    ierr;
909   PetscMPIInt       size = l->size,imdex,n,rank = l->rank,tag = ((PetscObject)A)->tag,lastidx = -1;
910   PetscInt          i,*owners = A->rmap->range;
911   PetscInt          *nprocs,j,idx,nsends;
912   PetscInt          nmax,*svalues,*starts,*owner,nrecvs;
913   PetscInt          *rvalues,count,base,slen,*source;
914   PetscInt          *lens,*lrows,*values,m;
915   MPI_Comm          comm;
916   MPI_Request       *send_waits,*recv_waits;
917   MPI_Status        recv_status,*send_status;
918   const PetscScalar *xx;
919   PetscScalar       *bb,*mask;
920   Vec               xmask,lmask;
921   Mat_SeqAIJ        *aij = (Mat_SeqAIJ*)l->B->data;
922   const PetscInt    *aj, *ii,*ridx;
923   PetscScalar       *aa;
924 #if defined(PETSC_DEBUG)
925   PetscBool found = PETSC_FALSE;
926 #endif
927 
928   PetscFunctionBegin;
929   ierr = PetscObjectGetComm((PetscObject)A,&comm);CHKERRQ(ierr);
930   /*  first count number of contributors to each processor */
931   ierr = PetscMalloc(2*size*sizeof(PetscInt),&nprocs);CHKERRQ(ierr);
932   ierr = PetscMemzero(nprocs,2*size*sizeof(PetscInt));CHKERRQ(ierr);
933   ierr = PetscMalloc((N+1)*sizeof(PetscInt),&owner);CHKERRQ(ierr); /* see note*/
934   j    = 0;
935   for (i=0; i<N; i++) {
936     if (lastidx > (idx = rows[i])) j = 0;
937     lastidx = idx;
938     for (; j<size; j++) {
939       if (idx >= owners[j] && idx < owners[j+1]) {
940         nprocs[2*j]++;
941         nprocs[2*j+1] = 1;
942         owner[i]      = j;
943 #if defined(PETSC_DEBUG)
944         found = PETSC_TRUE;
945 #endif
946         break;
947       }
948     }
949 #if defined(PETSC_DEBUG)
950     if (!found) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Index out of range");
951     found = PETSC_FALSE;
952 #endif
953   }
954   nsends = 0;  for (i=0; i<size; i++) nsends += nprocs[2*i+1];
955 
956   /* inform other processors of number of messages and max length*/
957   ierr = PetscMaxSum(comm,nprocs,&nmax,&nrecvs);CHKERRQ(ierr);
958 
959   /* post receives:   */
960   ierr = PetscMalloc((nrecvs+1)*(nmax+1)*sizeof(PetscInt),&rvalues);CHKERRQ(ierr);
961   ierr = PetscMalloc((nrecvs+1)*sizeof(MPI_Request),&recv_waits);CHKERRQ(ierr);
962   for (i=0; i<nrecvs; i++) {
963     ierr = MPI_Irecv(rvalues+nmax*i,nmax,MPIU_INT,MPI_ANY_SOURCE,tag,comm,recv_waits+i);CHKERRQ(ierr);
964   }
965 
966   /* do sends:
967       1) starts[i] gives the starting index in svalues for stuff going to
968          the ith processor
969   */
970   ierr = PetscMalloc((N+1)*sizeof(PetscInt),&svalues);CHKERRQ(ierr);
971   ierr = PetscMalloc((nsends+1)*sizeof(MPI_Request),&send_waits);CHKERRQ(ierr);
972   ierr = PetscMalloc((size+1)*sizeof(PetscInt),&starts);CHKERRQ(ierr);
973 
974   starts[0] = 0;
975   for (i=1; i<size; i++) starts[i] = starts[i-1] + nprocs[2*i-2];
976   for (i=0; i<N; i++) svalues[starts[owner[i]]++] = rows[i];
977 
978   starts[0] = 0;
979   for (i=1; i<size+1; i++) starts[i] = starts[i-1] + nprocs[2*i-2];
980   count = 0;
981   for (i=0; i<size; i++) {
982     if (nprocs[2*i+1]) {
983       ierr = MPI_Isend(svalues+starts[i],nprocs[2*i],MPIU_INT,i,tag,comm,send_waits+count++);CHKERRQ(ierr);
984     }
985   }
986   ierr = PetscFree(starts);CHKERRQ(ierr);
987 
988   base = owners[rank];
989 
990   /*  wait on receives */
991   ierr  = PetscMalloc2(nrecvs,PetscInt,&lens,nrecvs,PetscInt,&source);CHKERRQ(ierr);
992   count = nrecvs; slen = 0;
993   while (count) {
994     ierr = MPI_Waitany(nrecvs,recv_waits,&imdex,&recv_status);CHKERRQ(ierr);
995     /* unpack receives into our local space */
996     ierr = MPI_Get_count(&recv_status,MPIU_INT,&n);CHKERRQ(ierr);
997 
998     source[imdex] = recv_status.MPI_SOURCE;
999     lens[imdex]   = n;
1000     slen         += n;
1001     count--;
1002   }
1003   ierr = PetscFree(recv_waits);CHKERRQ(ierr);
1004 
1005   /* move the data into the send scatter */
1006   ierr  = PetscMalloc((slen+1)*sizeof(PetscInt),&lrows);CHKERRQ(ierr);
1007   count = 0;
1008   for (i=0; i<nrecvs; i++) {
1009     values = rvalues + i*nmax;
1010     for (j=0; j<lens[i]; j++) lrows[count++] = values[j] - base;
1011   }
1012   ierr = PetscFree(rvalues);CHKERRQ(ierr);
1013   ierr = PetscFree2(lens,source);CHKERRQ(ierr);
1014   ierr = PetscFree(owner);CHKERRQ(ierr);
1015   ierr = PetscFree(nprocs);CHKERRQ(ierr);
1016   /* lrows are the local rows to be zeroed, slen is the number of local rows */
1017 
1018   /* zero diagonal part of matrix */
1019   ierr = MatZeroRowsColumns(l->A,slen,lrows,diag,x,b);CHKERRQ(ierr);
1020 
1021   /* handle off diagonal part of matrix */
1022   ierr = MatGetVecs(A,&xmask,NULL);CHKERRQ(ierr);
1023   ierr = VecDuplicate(l->lvec,&lmask);CHKERRQ(ierr);
1024   ierr = VecGetArray(xmask,&bb);CHKERRQ(ierr);
1025   for (i=0; i<slen; i++) bb[lrows[i]] = 1;
1026   ierr = VecRestoreArray(xmask,&bb);CHKERRQ(ierr);
1027   ierr = VecScatterBegin(l->Mvctx,xmask,lmask,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1028   ierr = VecScatterEnd(l->Mvctx,xmask,lmask,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1029   ierr = VecDestroy(&xmask);CHKERRQ(ierr);
1030   if (x) {
1031     ierr = VecScatterBegin(l->Mvctx,x,l->lvec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1032     ierr = VecScatterEnd(l->Mvctx,x,l->lvec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1033     ierr = VecGetArrayRead(l->lvec,&xx);CHKERRQ(ierr);
1034     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1035   }
1036   ierr = VecGetArray(lmask,&mask);CHKERRQ(ierr);
1037 
1038   /* remove zeroed rows of off diagonal matrix */
1039   ii = aij->i;
1040   for (i=0; i<slen; i++) {
1041     ierr = PetscMemzero(aij->a + ii[lrows[i]],(ii[lrows[i]+1] - ii[lrows[i]])*sizeof(PetscScalar));CHKERRQ(ierr);
1042   }
1043 
1044   /* loop over all elements of off process part of matrix zeroing removed columns*/
1045   if (aij->compressedrow.use) {
1046     m    = aij->compressedrow.nrows;
1047     ii   = aij->compressedrow.i;
1048     ridx = aij->compressedrow.rindex;
1049     for (i=0; i<m; i++) {
1050       n  = ii[i+1] - ii[i];
1051       aj = aij->j + ii[i];
1052       aa = aij->a + ii[i];
1053 
1054       for (j=0; j<n; j++) {
1055         if (PetscAbsScalar(mask[*aj])) {
1056           if (b) bb[*ridx] -= *aa*xx[*aj];
1057           *aa = 0.0;
1058         }
1059         aa++;
1060         aj++;
1061       }
1062       ridx++;
1063     }
1064   } else { /* do not use compressed row format */
1065     m = l->B->rmap->n;
1066     for (i=0; i<m; i++) {
1067       n  = ii[i+1] - ii[i];
1068       aj = aij->j + ii[i];
1069       aa = aij->a + ii[i];
1070       for (j=0; j<n; j++) {
1071         if (PetscAbsScalar(mask[*aj])) {
1072           if (b) bb[i] -= *aa*xx[*aj];
1073           *aa = 0.0;
1074         }
1075         aa++;
1076         aj++;
1077       }
1078     }
1079   }
1080   if (x) {
1081     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1082     ierr = VecRestoreArrayRead(l->lvec,&xx);CHKERRQ(ierr);
1083   }
1084   ierr = VecRestoreArray(lmask,&mask);CHKERRQ(ierr);
1085   ierr = VecDestroy(&lmask);CHKERRQ(ierr);
1086   ierr = PetscFree(lrows);CHKERRQ(ierr);
1087 
1088   /* wait on sends */
1089   if (nsends) {
1090     ierr = PetscMalloc(nsends*sizeof(MPI_Status),&send_status);CHKERRQ(ierr);
1091     ierr = MPI_Waitall(nsends,send_waits,send_status);CHKERRQ(ierr);
1092     ierr = PetscFree(send_status);CHKERRQ(ierr);
1093   }
1094   ierr = PetscFree(send_waits);CHKERRQ(ierr);
1095   ierr = PetscFree(svalues);CHKERRQ(ierr);
1096   PetscFunctionReturn(0);
1097 }
1098 
1099 #undef __FUNCT__
1100 #define __FUNCT__ "MatMult_MPIAIJ"
1101 PetscErrorCode MatMult_MPIAIJ(Mat A,Vec xx,Vec yy)
1102 {
1103   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
1104   PetscErrorCode ierr;
1105   PetscInt       nt;
1106 
1107   PetscFunctionBegin;
1108   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
1109   if (nt != A->cmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A (%D) and xx (%D)",A->cmap->n,nt);
1110   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1111   ierr = (*a->A->ops->mult)(a->A,xx,yy);CHKERRQ(ierr);
1112   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1113   ierr = (*a->B->ops->multadd)(a->B,a->lvec,yy,yy);CHKERRQ(ierr);
1114   PetscFunctionReturn(0);
1115 }
1116 
1117 #undef __FUNCT__
1118 #define __FUNCT__ "MatMultDiagonalBlock_MPIAIJ"
1119 PetscErrorCode MatMultDiagonalBlock_MPIAIJ(Mat A,Vec bb,Vec xx)
1120 {
1121   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
1122   PetscErrorCode ierr;
1123 
1124   PetscFunctionBegin;
1125   ierr = MatMultDiagonalBlock(a->A,bb,xx);CHKERRQ(ierr);
1126   PetscFunctionReturn(0);
1127 }
1128 
1129 #undef __FUNCT__
1130 #define __FUNCT__ "MatMultAdd_MPIAIJ"
1131 PetscErrorCode MatMultAdd_MPIAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1132 {
1133   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
1134   PetscErrorCode ierr;
1135 
1136   PetscFunctionBegin;
1137   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1138   ierr = (*a->A->ops->multadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
1139   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1140   ierr = (*a->B->ops->multadd)(a->B,a->lvec,zz,zz);CHKERRQ(ierr);
1141   PetscFunctionReturn(0);
1142 }
1143 
1144 #undef __FUNCT__
1145 #define __FUNCT__ "MatMultTranspose_MPIAIJ"
1146 PetscErrorCode MatMultTranspose_MPIAIJ(Mat A,Vec xx,Vec yy)
1147 {
1148   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
1149   PetscErrorCode ierr;
1150   PetscBool      merged;
1151 
1152   PetscFunctionBegin;
1153   ierr = VecScatterGetMerged(a->Mvctx,&merged);CHKERRQ(ierr);
1154   /* do nondiagonal part */
1155   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1156   if (!merged) {
1157     /* send it on its way */
1158     ierr = VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1159     /* do local part */
1160     ierr = (*a->A->ops->multtranspose)(a->A,xx,yy);CHKERRQ(ierr);
1161     /* receive remote parts: note this assumes the values are not actually */
1162     /* added in yy until the next line, */
1163     ierr = VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1164   } else {
1165     /* do local part */
1166     ierr = (*a->A->ops->multtranspose)(a->A,xx,yy);CHKERRQ(ierr);
1167     /* send it on its way */
1168     ierr = VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1169     /* values actually were received in the Begin() but we need to call this nop */
1170     ierr = VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1171   }
1172   PetscFunctionReturn(0);
1173 }
1174 
1175 #undef __FUNCT__
1176 #define __FUNCT__ "MatIsTranspose_MPIAIJ"
1177 PetscErrorCode  MatIsTranspose_MPIAIJ(Mat Amat,Mat Bmat,PetscReal tol,PetscBool  *f)
1178 {
1179   MPI_Comm       comm;
1180   Mat_MPIAIJ     *Aij = (Mat_MPIAIJ*) Amat->data, *Bij;
1181   Mat            Adia = Aij->A, Bdia, Aoff,Boff,*Aoffs,*Boffs;
1182   IS             Me,Notme;
1183   PetscErrorCode ierr;
1184   PetscInt       M,N,first,last,*notme,i;
1185   PetscMPIInt    size;
1186 
1187   PetscFunctionBegin;
1188   /* Easy test: symmetric diagonal block */
1189   Bij  = (Mat_MPIAIJ*) Bmat->data; Bdia = Bij->A;
1190   ierr = MatIsTranspose(Adia,Bdia,tol,f);CHKERRQ(ierr);
1191   if (!*f) PetscFunctionReturn(0);
1192   ierr = PetscObjectGetComm((PetscObject)Amat,&comm);CHKERRQ(ierr);
1193   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
1194   if (size == 1) PetscFunctionReturn(0);
1195 
1196   /* Hard test: off-diagonal block. This takes a MatGetSubMatrix. */
1197   ierr = MatGetSize(Amat,&M,&N);CHKERRQ(ierr);
1198   ierr = MatGetOwnershipRange(Amat,&first,&last);CHKERRQ(ierr);
1199   ierr = PetscMalloc((N-last+first)*sizeof(PetscInt),&notme);CHKERRQ(ierr);
1200   for (i=0; i<first; i++) notme[i] = i;
1201   for (i=last; i<M; i++) notme[i-last+first] = i;
1202   ierr = ISCreateGeneral(MPI_COMM_SELF,N-last+first,notme,PETSC_COPY_VALUES,&Notme);CHKERRQ(ierr);
1203   ierr = ISCreateStride(MPI_COMM_SELF,last-first,first,1,&Me);CHKERRQ(ierr);
1204   ierr = MatGetSubMatrices(Amat,1,&Me,&Notme,MAT_INITIAL_MATRIX,&Aoffs);CHKERRQ(ierr);
1205   Aoff = Aoffs[0];
1206   ierr = MatGetSubMatrices(Bmat,1,&Notme,&Me,MAT_INITIAL_MATRIX,&Boffs);CHKERRQ(ierr);
1207   Boff = Boffs[0];
1208   ierr = MatIsTranspose(Aoff,Boff,tol,f);CHKERRQ(ierr);
1209   ierr = MatDestroyMatrices(1,&Aoffs);CHKERRQ(ierr);
1210   ierr = MatDestroyMatrices(1,&Boffs);CHKERRQ(ierr);
1211   ierr = ISDestroy(&Me);CHKERRQ(ierr);
1212   ierr = ISDestroy(&Notme);CHKERRQ(ierr);
1213   ierr = PetscFree(notme);CHKERRQ(ierr);
1214   PetscFunctionReturn(0);
1215 }
1216 
1217 #undef __FUNCT__
1218 #define __FUNCT__ "MatMultTransposeAdd_MPIAIJ"
1219 PetscErrorCode MatMultTransposeAdd_MPIAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1220 {
1221   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
1222   PetscErrorCode ierr;
1223 
1224   PetscFunctionBegin;
1225   /* do nondiagonal part */
1226   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1227   /* send it on its way */
1228   ierr = VecScatterBegin(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1229   /* do local part */
1230   ierr = (*a->A->ops->multtransposeadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
1231   /* receive remote parts */
1232   ierr = VecScatterEnd(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1233   PetscFunctionReturn(0);
1234 }
1235 
1236 /*
1237   This only works correctly for square matrices where the subblock A->A is the
1238    diagonal block
1239 */
1240 #undef __FUNCT__
1241 #define __FUNCT__ "MatGetDiagonal_MPIAIJ"
1242 PetscErrorCode MatGetDiagonal_MPIAIJ(Mat A,Vec v)
1243 {
1244   PetscErrorCode ierr;
1245   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
1246 
1247   PetscFunctionBegin;
1248   if (A->rmap->N != A->cmap->N) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Supports only square matrix where A->A is diag block");
1249   if (A->rmap->rstart != A->cmap->rstart || A->rmap->rend != A->cmap->rend) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"row partition must equal col partition");
1250   ierr = MatGetDiagonal(a->A,v);CHKERRQ(ierr);
1251   PetscFunctionReturn(0);
1252 }
1253 
1254 #undef __FUNCT__
1255 #define __FUNCT__ "MatScale_MPIAIJ"
1256 PetscErrorCode MatScale_MPIAIJ(Mat A,PetscScalar aa)
1257 {
1258   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
1259   PetscErrorCode ierr;
1260 
1261   PetscFunctionBegin;
1262   ierr = MatScale(a->A,aa);CHKERRQ(ierr);
1263   ierr = MatScale(a->B,aa);CHKERRQ(ierr);
1264   PetscFunctionReturn(0);
1265 }
1266 
1267 #undef __FUNCT__
1268 #define __FUNCT__ "MatDestroy_MPIAIJ"
1269 PetscErrorCode MatDestroy_MPIAIJ(Mat mat)
1270 {
1271   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)mat->data;
1272   PetscErrorCode ierr;
1273 
1274   PetscFunctionBegin;
1275 #if defined(PETSC_USE_LOG)
1276   PetscLogObjectState((PetscObject)mat,"Rows=%D, Cols=%D",mat->rmap->N,mat->cmap->N);
1277 #endif
1278   ierr = MatStashDestroy_Private(&mat->stash);CHKERRQ(ierr);
1279   ierr = VecDestroy(&aij->diag);CHKERRQ(ierr);
1280   ierr = MatDestroy(&aij->A);CHKERRQ(ierr);
1281   ierr = MatDestroy(&aij->B);CHKERRQ(ierr);
1282 #if defined(PETSC_USE_CTABLE)
1283   ierr = PetscTableDestroy(&aij->colmap);CHKERRQ(ierr);
1284 #else
1285   ierr = PetscFree(aij->colmap);CHKERRQ(ierr);
1286 #endif
1287   ierr = PetscFree(aij->garray);CHKERRQ(ierr);
1288   ierr = VecDestroy(&aij->lvec);CHKERRQ(ierr);
1289   ierr = VecScatterDestroy(&aij->Mvctx);CHKERRQ(ierr);
1290   ierr = PetscFree2(aij->rowvalues,aij->rowindices);CHKERRQ(ierr);
1291   ierr = PetscFree(aij->ld);CHKERRQ(ierr);
1292   ierr = PetscFree(mat->data);CHKERRQ(ierr);
1293 
1294   ierr = PetscObjectChangeTypeName((PetscObject)mat,0);CHKERRQ(ierr);
1295   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatStoreValues_C","",NULL);CHKERRQ(ierr);
1296   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatRetrieveValues_C","",NULL);CHKERRQ(ierr);
1297   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatGetDiagonalBlock_C","",NULL);CHKERRQ(ierr);
1298   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatIsTranspose_C","",NULL);CHKERRQ(ierr);
1299   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatMPIAIJSetPreallocation_C","",NULL);CHKERRQ(ierr);
1300   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatMPIAIJSetPreallocationCSR_C","",NULL);CHKERRQ(ierr);
1301   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatDiagonalScaleLocal_C","",NULL);CHKERRQ(ierr);
1302   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpiaij_mpisbaij_C","",NULL);CHKERRQ(ierr);
1303   PetscFunctionReturn(0);
1304 }
1305 
1306 #undef __FUNCT__
1307 #define __FUNCT__ "MatView_MPIAIJ_Binary"
1308 PetscErrorCode MatView_MPIAIJ_Binary(Mat mat,PetscViewer viewer)
1309 {
1310   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)mat->data;
1311   Mat_SeqAIJ     *A   = (Mat_SeqAIJ*)aij->A->data;
1312   Mat_SeqAIJ     *B   = (Mat_SeqAIJ*)aij->B->data;
1313   PetscErrorCode ierr;
1314   PetscMPIInt    rank,size,tag = ((PetscObject)viewer)->tag;
1315   int            fd;
1316   PetscInt       nz,header[4],*row_lengths,*range=0,rlen,i;
1317   PetscInt       nzmax,*column_indices,j,k,col,*garray = aij->garray,cnt,cstart = mat->cmap->rstart,rnz;
1318   PetscScalar    *column_values;
1319   PetscInt       message_count,flowcontrolcount;
1320   FILE           *file;
1321 
1322   PetscFunctionBegin;
1323   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)mat),&rank);CHKERRQ(ierr);
1324   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)mat),&size);CHKERRQ(ierr);
1325   nz   = A->nz + B->nz;
1326   if (!rank) {
1327     header[0] = MAT_FILE_CLASSID;
1328     header[1] = mat->rmap->N;
1329     header[2] = mat->cmap->N;
1330 
1331     ierr = MPI_Reduce(&nz,&header[3],1,MPIU_INT,MPI_SUM,0,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1332     ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
1333     ierr = PetscBinaryWrite(fd,header,4,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1334     /* get largest number of rows any processor has */
1335     rlen  = mat->rmap->n;
1336     range = mat->rmap->range;
1337     for (i=1; i<size; i++) rlen = PetscMax(rlen,range[i+1] - range[i]);
1338   } else {
1339     ierr = MPI_Reduce(&nz,0,1,MPIU_INT,MPI_SUM,0,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1340     rlen = mat->rmap->n;
1341   }
1342 
1343   /* load up the local row counts */
1344   ierr = PetscMalloc((rlen+1)*sizeof(PetscInt),&row_lengths);CHKERRQ(ierr);
1345   for (i=0; i<mat->rmap->n; i++) row_lengths[i] = A->i[i+1] - A->i[i] + B->i[i+1] - B->i[i];
1346 
1347   /* store the row lengths to the file */
1348   ierr = PetscViewerFlowControlStart(viewer,&message_count,&flowcontrolcount);CHKERRQ(ierr);
1349   if (!rank) {
1350     ierr = PetscBinaryWrite(fd,row_lengths,mat->rmap->n,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1351     for (i=1; i<size; i++) {
1352       ierr = PetscViewerFlowControlStepMaster(viewer,i,&message_count,flowcontrolcount);CHKERRQ(ierr);
1353       rlen = range[i+1] - range[i];
1354       ierr = MPIULong_Recv(row_lengths,rlen,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1355       ierr = PetscBinaryWrite(fd,row_lengths,rlen,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1356     }
1357     ierr = PetscViewerFlowControlEndMaster(viewer,&message_count);CHKERRQ(ierr);
1358   } else {
1359     ierr = PetscViewerFlowControlStepWorker(viewer,rank,&message_count);CHKERRQ(ierr);
1360     ierr = MPIULong_Send(row_lengths,mat->rmap->n,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1361     ierr = PetscViewerFlowControlEndWorker(viewer,&message_count);CHKERRQ(ierr);
1362   }
1363   ierr = PetscFree(row_lengths);CHKERRQ(ierr);
1364 
1365   /* load up the local column indices */
1366   nzmax = nz; /* th processor needs space a largest processor needs */
1367   ierr  = MPI_Reduce(&nz,&nzmax,1,MPIU_INT,MPI_MAX,0,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1368   ierr  = PetscMalloc((nzmax+1)*sizeof(PetscInt),&column_indices);CHKERRQ(ierr);
1369   cnt   = 0;
1370   for (i=0; i<mat->rmap->n; i++) {
1371     for (j=B->i[i]; j<B->i[i+1]; j++) {
1372       if ((col = garray[B->j[j]]) > cstart) break;
1373       column_indices[cnt++] = col;
1374     }
1375     for (k=A->i[i]; k<A->i[i+1]; k++) column_indices[cnt++] = A->j[k] + cstart;
1376     for (; j<B->i[i+1]; j++) column_indices[cnt++] = garray[B->j[j]];
1377   }
1378   if (cnt != A->nz + B->nz) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Internal PETSc error: cnt = %D nz = %D",cnt,A->nz+B->nz);
1379 
1380   /* store the column indices to the file */
1381   ierr = PetscViewerFlowControlStart(viewer,&message_count,&flowcontrolcount);CHKERRQ(ierr);
1382   if (!rank) {
1383     MPI_Status status;
1384     ierr = PetscBinaryWrite(fd,column_indices,nz,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1385     for (i=1; i<size; i++) {
1386       ierr = PetscViewerFlowControlStepMaster(viewer,i,&message_count,flowcontrolcount);CHKERRQ(ierr);
1387       ierr = MPI_Recv(&rnz,1,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1388       if (rnz > nzmax) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Internal PETSc error: nz = %D nzmax = %D",nz,nzmax);
1389       ierr = MPIULong_Recv(column_indices,rnz,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1390       ierr = PetscBinaryWrite(fd,column_indices,rnz,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1391     }
1392     ierr = PetscViewerFlowControlEndMaster(viewer,&message_count);CHKERRQ(ierr);
1393   } else {
1394     ierr = PetscViewerFlowControlStepWorker(viewer,rank,&message_count);CHKERRQ(ierr);
1395     ierr = MPI_Send(&nz,1,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1396     ierr = MPIULong_Send(column_indices,nz,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1397     ierr = PetscViewerFlowControlEndWorker(viewer,&message_count);CHKERRQ(ierr);
1398   }
1399   ierr = PetscFree(column_indices);CHKERRQ(ierr);
1400 
1401   /* load up the local column values */
1402   ierr = PetscMalloc((nzmax+1)*sizeof(PetscScalar),&column_values);CHKERRQ(ierr);
1403   cnt  = 0;
1404   for (i=0; i<mat->rmap->n; i++) {
1405     for (j=B->i[i]; j<B->i[i+1]; j++) {
1406       if (garray[B->j[j]] > cstart) break;
1407       column_values[cnt++] = B->a[j];
1408     }
1409     for (k=A->i[i]; k<A->i[i+1]; k++) column_values[cnt++] = A->a[k];
1410     for (; j<B->i[i+1]; j++) column_values[cnt++] = B->a[j];
1411   }
1412   if (cnt != A->nz + B->nz) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Internal PETSc error: cnt = %D nz = %D",cnt,A->nz+B->nz);
1413 
1414   /* store the column values to the file */
1415   ierr = PetscViewerFlowControlStart(viewer,&message_count,&flowcontrolcount);CHKERRQ(ierr);
1416   if (!rank) {
1417     MPI_Status status;
1418     ierr = PetscBinaryWrite(fd,column_values,nz,PETSC_SCALAR,PETSC_TRUE);CHKERRQ(ierr);
1419     for (i=1; i<size; i++) {
1420       ierr = PetscViewerFlowControlStepMaster(viewer,i,&message_count,flowcontrolcount);CHKERRQ(ierr);
1421       ierr = MPI_Recv(&rnz,1,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);CHKERRQ(ierr);
1422       if (rnz > nzmax) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Internal PETSc error: nz = %D nzmax = %D",nz,nzmax);
1423       ierr = MPIULong_Recv(column_values,rnz,MPIU_SCALAR,i,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1424       ierr = PetscBinaryWrite(fd,column_values,rnz,PETSC_SCALAR,PETSC_TRUE);CHKERRQ(ierr);
1425     }
1426     ierr = PetscViewerFlowControlEndMaster(viewer,&message_count);CHKERRQ(ierr);
1427   } else {
1428     ierr = PetscViewerFlowControlStepWorker(viewer,rank,&message_count);CHKERRQ(ierr);
1429     ierr = MPI_Send(&nz,1,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1430     ierr = MPIULong_Send(column_values,nz,MPIU_SCALAR,0,tag,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
1431     ierr = PetscViewerFlowControlEndWorker(viewer,&message_count);CHKERRQ(ierr);
1432   }
1433   ierr = PetscFree(column_values);CHKERRQ(ierr);
1434 
1435   ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
1436   if (file) fprintf(file,"-matload_block_size %d\n",(int)mat->rmap->bs);
1437   PetscFunctionReturn(0);
1438 }
1439 
1440 #include <petscdraw.h>
1441 #undef __FUNCT__
1442 #define __FUNCT__ "MatView_MPIAIJ_ASCIIorDraworSocket"
1443 PetscErrorCode MatView_MPIAIJ_ASCIIorDraworSocket(Mat mat,PetscViewer viewer)
1444 {
1445   Mat_MPIAIJ        *aij = (Mat_MPIAIJ*)mat->data;
1446   PetscErrorCode    ierr;
1447   PetscMPIInt       rank = aij->rank,size = aij->size;
1448   PetscBool         isdraw,iascii,isbinary;
1449   PetscViewer       sviewer;
1450   PetscViewerFormat format;
1451 
1452   PetscFunctionBegin;
1453   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1454   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1455   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1456   if (iascii) {
1457     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1458     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
1459       MatInfo   info;
1460       PetscBool inodes;
1461 
1462       ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)mat),&rank);CHKERRQ(ierr);
1463       ierr = MatGetInfo(mat,MAT_LOCAL,&info);CHKERRQ(ierr);
1464       ierr = MatInodeGetInodeSizes(aij->A,NULL,(PetscInt**)&inodes,NULL);CHKERRQ(ierr);
1465       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_TRUE);CHKERRQ(ierr);
1466       if (!inodes) {
1467         ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] Local rows %D nz %D nz alloced %D mem %D, not using I-node routines\n",
1468                                                   rank,mat->rmap->n,(PetscInt)info.nz_used,(PetscInt)info.nz_allocated,(PetscInt)info.memory);CHKERRQ(ierr);
1469       } else {
1470         ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] Local rows %D nz %D nz alloced %D mem %D, using I-node routines\n",
1471                                                   rank,mat->rmap->n,(PetscInt)info.nz_used,(PetscInt)info.nz_allocated,(PetscInt)info.memory);CHKERRQ(ierr);
1472       }
1473       ierr = MatGetInfo(aij->A,MAT_LOCAL,&info);CHKERRQ(ierr);
1474       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] on-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
1475       ierr = MatGetInfo(aij->B,MAT_LOCAL,&info);CHKERRQ(ierr);
1476       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] off-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
1477       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1478       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_FALSE);CHKERRQ(ierr);
1479       ierr = PetscViewerASCIIPrintf(viewer,"Information on VecScatter used in matrix-vector product: \n");CHKERRQ(ierr);
1480       ierr = VecScatterView(aij->Mvctx,viewer);CHKERRQ(ierr);
1481       PetscFunctionReturn(0);
1482     } else if (format == PETSC_VIEWER_ASCII_INFO) {
1483       PetscInt inodecount,inodelimit,*inodes;
1484       ierr = MatInodeGetInodeSizes(aij->A,&inodecount,&inodes,&inodelimit);CHKERRQ(ierr);
1485       if (inodes) {
1486         ierr = PetscViewerASCIIPrintf(viewer,"using I-node (on process 0) routines: found %D nodes, limit used is %D\n",inodecount,inodelimit);CHKERRQ(ierr);
1487       } else {
1488         ierr = PetscViewerASCIIPrintf(viewer,"not using I-node (on process 0) routines\n");CHKERRQ(ierr);
1489       }
1490       PetscFunctionReturn(0);
1491     } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
1492       PetscFunctionReturn(0);
1493     }
1494   } else if (isbinary) {
1495     if (size == 1) {
1496       ierr = PetscObjectSetName((PetscObject)aij->A,((PetscObject)mat)->name);CHKERRQ(ierr);
1497       ierr = MatView(aij->A,viewer);CHKERRQ(ierr);
1498     } else {
1499       ierr = MatView_MPIAIJ_Binary(mat,viewer);CHKERRQ(ierr);
1500     }
1501     PetscFunctionReturn(0);
1502   } else if (isdraw) {
1503     PetscDraw draw;
1504     PetscBool isnull;
1505     ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1506     ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
1507   }
1508 
1509   if (size == 1) {
1510     ierr = PetscObjectSetName((PetscObject)aij->A,((PetscObject)mat)->name);CHKERRQ(ierr);
1511     ierr = MatView(aij->A,viewer);CHKERRQ(ierr);
1512   } else {
1513     /* assemble the entire matrix onto first processor. */
1514     Mat        A;
1515     Mat_SeqAIJ *Aloc;
1516     PetscInt   M = mat->rmap->N,N = mat->cmap->N,m,*ai,*aj,row,*cols,i,*ct;
1517     MatScalar  *a;
1518 
1519     if (mat->rmap->N > 1024) {
1520       PetscBool flg = PETSC_FALSE;
1521 
1522       ierr = PetscOptionsGetBool(((PetscObject) mat)->prefix, "-mat_ascii_output_large", &flg,NULL);CHKERRQ(ierr);
1523       if (!flg) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_ARG_OUTOFRANGE,"ASCII matrix output not allowed for matrices with more than 1024 rows, use binary format instead.\nYou can override this restriction using -mat_ascii_output_large.");
1524     }
1525 
1526     ierr = MatCreate(PetscObjectComm((PetscObject)mat),&A);CHKERRQ(ierr);
1527     if (!rank) {
1528       ierr = MatSetSizes(A,M,N,M,N);CHKERRQ(ierr);
1529     } else {
1530       ierr = MatSetSizes(A,0,0,M,N);CHKERRQ(ierr);
1531     }
1532     /* This is just a temporary matrix, so explicitly using MATMPIAIJ is probably best */
1533     ierr = MatSetType(A,MATMPIAIJ);CHKERRQ(ierr);
1534     ierr = MatMPIAIJSetPreallocation(A,0,NULL,0,NULL);CHKERRQ(ierr);
1535     ierr = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);
1536     ierr = PetscLogObjectParent(mat,A);CHKERRQ(ierr);
1537 
1538     /* copy over the A part */
1539     Aloc = (Mat_SeqAIJ*)aij->A->data;
1540     m    = aij->A->rmap->n; ai = Aloc->i; aj = Aloc->j; a = Aloc->a;
1541     row  = mat->rmap->rstart;
1542     for (i=0; i<ai[m]; i++) aj[i] += mat->cmap->rstart;
1543     for (i=0; i<m; i++) {
1544       ierr = MatSetValues(A,1,&row,ai[i+1]-ai[i],aj,a,INSERT_VALUES);CHKERRQ(ierr);
1545       row++;
1546       a += ai[i+1]-ai[i]; aj += ai[i+1]-ai[i];
1547     }
1548     aj = Aloc->j;
1549     for (i=0; i<ai[m]; i++) aj[i] -= mat->cmap->rstart;
1550 
1551     /* copy over the B part */
1552     Aloc = (Mat_SeqAIJ*)aij->B->data;
1553     m    = aij->B->rmap->n;  ai = Aloc->i; aj = Aloc->j; a = Aloc->a;
1554     row  = mat->rmap->rstart;
1555     ierr = PetscMalloc((ai[m]+1)*sizeof(PetscInt),&cols);CHKERRQ(ierr);
1556     ct   = cols;
1557     for (i=0; i<ai[m]; i++) cols[i] = aij->garray[aj[i]];
1558     for (i=0; i<m; i++) {
1559       ierr = MatSetValues(A,1,&row,ai[i+1]-ai[i],cols,a,INSERT_VALUES);CHKERRQ(ierr);
1560       row++;
1561       a += ai[i+1]-ai[i]; cols += ai[i+1]-ai[i];
1562     }
1563     ierr = PetscFree(ct);CHKERRQ(ierr);
1564     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1565     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1566     /*
1567        Everyone has to call to draw the matrix since the graphics waits are
1568        synchronized across all processors that share the PetscDraw object
1569     */
1570     ierr = PetscViewerGetSingleton(viewer,&sviewer);CHKERRQ(ierr);
1571     if (!rank) {
1572       ierr = PetscObjectSetName((PetscObject)((Mat_MPIAIJ*)(A->data))->A,((PetscObject)mat)->name);CHKERRQ(ierr);
1573       /* Set the type name to MATMPIAIJ so that the correct type can be printed out by PetscObjectPrintClassNamePrefixType() in MatView_SeqAIJ_ASCII()*/
1574       PetscStrcpy(((PetscObject)((Mat_MPIAIJ*)(A->data))->A)->type_name,MATMPIAIJ);
1575       ierr = MatView(((Mat_MPIAIJ*)(A->data))->A,sviewer);CHKERRQ(ierr);
1576     }
1577     ierr = PetscViewerRestoreSingleton(viewer,&sviewer);CHKERRQ(ierr);
1578     ierr = MatDestroy(&A);CHKERRQ(ierr);
1579   }
1580   PetscFunctionReturn(0);
1581 }
1582 
1583 #undef __FUNCT__
1584 #define __FUNCT__ "MatView_MPIAIJ"
1585 PetscErrorCode MatView_MPIAIJ(Mat mat,PetscViewer viewer)
1586 {
1587   PetscErrorCode ierr;
1588   PetscBool      iascii,isdraw,issocket,isbinary;
1589 
1590   PetscFunctionBegin;
1591   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1592   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1593   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1594   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSOCKET,&issocket);CHKERRQ(ierr);
1595   if (iascii || isdraw || isbinary || issocket) {
1596     ierr = MatView_MPIAIJ_ASCIIorDraworSocket(mat,viewer);CHKERRQ(ierr);
1597   }
1598   PetscFunctionReturn(0);
1599 }
1600 
1601 #undef __FUNCT__
1602 #define __FUNCT__ "MatSOR_MPIAIJ"
1603 PetscErrorCode MatSOR_MPIAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
1604 {
1605   Mat_MPIAIJ     *mat = (Mat_MPIAIJ*)matin->data;
1606   PetscErrorCode ierr;
1607   Vec            bb1 = 0;
1608   PetscBool      hasop;
1609 
1610   PetscFunctionBegin;
1611   if (flag == SOR_APPLY_UPPER) {
1612     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
1613     PetscFunctionReturn(0);
1614   }
1615 
1616   if (its > 1 || ~flag & SOR_ZERO_INITIAL_GUESS || flag & SOR_EISENSTAT) {
1617     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
1618   }
1619 
1620   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
1621     if (flag & SOR_ZERO_INITIAL_GUESS) {
1622       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
1623       its--;
1624     }
1625 
1626     while (its--) {
1627       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1628       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1629 
1630       /* update rhs: bb1 = bb - B*x */
1631       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
1632       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);CHKERRQ(ierr);
1633 
1634       /* local sweep */
1635       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,1,xx);CHKERRQ(ierr);
1636     }
1637   } else if (flag & SOR_LOCAL_FORWARD_SWEEP) {
1638     if (flag & SOR_ZERO_INITIAL_GUESS) {
1639       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
1640       its--;
1641     }
1642     while (its--) {
1643       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1644       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1645 
1646       /* update rhs: bb1 = bb - B*x */
1647       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
1648       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);CHKERRQ(ierr);
1649 
1650       /* local sweep */
1651       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_FORWARD_SWEEP,fshift,lits,1,xx);CHKERRQ(ierr);
1652     }
1653   } else if (flag & SOR_LOCAL_BACKWARD_SWEEP) {
1654     if (flag & SOR_ZERO_INITIAL_GUESS) {
1655       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
1656       its--;
1657     }
1658     while (its--) {
1659       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1660       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1661 
1662       /* update rhs: bb1 = bb - B*x */
1663       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
1664       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);CHKERRQ(ierr);
1665 
1666       /* local sweep */
1667       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_BACKWARD_SWEEP,fshift,lits,1,xx);CHKERRQ(ierr);
1668     }
1669   } else if (flag & SOR_EISENSTAT) {
1670     Vec xx1;
1671 
1672     ierr = VecDuplicate(bb,&xx1);CHKERRQ(ierr);
1673     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,(MatSORType)(SOR_ZERO_INITIAL_GUESS | SOR_LOCAL_BACKWARD_SWEEP),fshift,lits,1,xx);CHKERRQ(ierr);
1674 
1675     ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1676     ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1677     if (!mat->diag) {
1678       ierr = MatGetVecs(matin,&mat->diag,NULL);CHKERRQ(ierr);
1679       ierr = MatGetDiagonal(matin,mat->diag);CHKERRQ(ierr);
1680     }
1681     ierr = MatHasOperation(matin,MATOP_MULT_DIAGONAL_BLOCK,&hasop);CHKERRQ(ierr);
1682     if (hasop) {
1683       ierr = MatMultDiagonalBlock(matin,xx,bb1);CHKERRQ(ierr);
1684     } else {
1685       ierr = VecPointwiseMult(bb1,mat->diag,xx);CHKERRQ(ierr);
1686     }
1687     ierr = VecAYPX(bb1,(omega-2.0)/omega,bb);CHKERRQ(ierr);
1688 
1689     ierr = MatMultAdd(mat->B,mat->lvec,bb1,bb1);CHKERRQ(ierr);
1690 
1691     /* local sweep */
1692     ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,(MatSORType)(SOR_ZERO_INITIAL_GUESS | SOR_LOCAL_FORWARD_SWEEP),fshift,lits,1,xx1);CHKERRQ(ierr);
1693     ierr = VecAXPY(xx,1.0,xx1);CHKERRQ(ierr);
1694     ierr = VecDestroy(&xx1);CHKERRQ(ierr);
1695   } else SETERRQ(PetscObjectComm((PetscObject)matin),PETSC_ERR_SUP,"Parallel SOR not supported");
1696 
1697   ierr = VecDestroy(&bb1);CHKERRQ(ierr);
1698   PetscFunctionReturn(0);
1699 }
1700 
1701 #undef __FUNCT__
1702 #define __FUNCT__ "MatPermute_MPIAIJ"
1703 PetscErrorCode MatPermute_MPIAIJ(Mat A,IS rowp,IS colp,Mat *B)
1704 {
1705   Mat            aA,aB,Aperm;
1706   const PetscInt *rwant,*cwant,*gcols,*ai,*bi,*aj,*bj;
1707   PetscScalar    *aa,*ba;
1708   PetscInt       i,j,m,n,ng,anz,bnz,*dnnz,*onnz,*tdnnz,*tonnz,*rdest,*cdest,*work,*gcdest;
1709   PetscSF        rowsf,sf;
1710   IS             parcolp = NULL;
1711   PetscBool      done;
1712   PetscErrorCode ierr;
1713 
1714   PetscFunctionBegin;
1715   ierr = MatGetLocalSize(A,&m,&n);CHKERRQ(ierr);
1716   ierr = ISGetIndices(rowp,&rwant);CHKERRQ(ierr);
1717   ierr = ISGetIndices(colp,&cwant);CHKERRQ(ierr);
1718   ierr = PetscMalloc3(PetscMax(m,n),PetscInt,&work,m,PetscInt,&rdest,n,PetscInt,&cdest);CHKERRQ(ierr);
1719 
1720   /* Invert row permutation to find out where my rows should go */
1721   ierr = PetscSFCreate(PetscObjectComm((PetscObject)A),&rowsf);CHKERRQ(ierr);
1722   ierr = PetscSFSetGraphLayout(rowsf,A->rmap,A->rmap->n,NULL,PETSC_OWN_POINTER,rwant);CHKERRQ(ierr);
1723   ierr = PetscSFSetFromOptions(rowsf);CHKERRQ(ierr);
1724   for (i=0; i<m; i++) work[i] = A->rmap->rstart + i;
1725   ierr = PetscSFReduceBegin(rowsf,MPIU_INT,work,rdest,MPI_REPLACE);CHKERRQ(ierr);
1726   ierr = PetscSFReduceEnd(rowsf,MPIU_INT,work,rdest,MPI_REPLACE);CHKERRQ(ierr);
1727 
1728   /* Invert column permutation to find out where my columns should go */
1729   ierr = PetscSFCreate(PetscObjectComm((PetscObject)A),&sf);CHKERRQ(ierr);
1730   ierr = PetscSFSetGraphLayout(sf,A->cmap,A->cmap->n,NULL,PETSC_OWN_POINTER,cwant);CHKERRQ(ierr);
1731   ierr = PetscSFSetFromOptions(sf);CHKERRQ(ierr);
1732   for (i=0; i<n; i++) work[i] = A->cmap->rstart + i;
1733   ierr = PetscSFReduceBegin(sf,MPIU_INT,work,cdest,MPI_REPLACE);CHKERRQ(ierr);
1734   ierr = PetscSFReduceEnd(sf,MPIU_INT,work,cdest,MPI_REPLACE);CHKERRQ(ierr);
1735   ierr = PetscSFDestroy(&sf);CHKERRQ(ierr);
1736 
1737   ierr = ISRestoreIndices(rowp,&rwant);CHKERRQ(ierr);
1738   ierr = ISRestoreIndices(colp,&cwant);CHKERRQ(ierr);
1739   ierr = MatMPIAIJGetSeqAIJ(A,&aA,&aB,&gcols);CHKERRQ(ierr);
1740 
1741   /* Find out where my gcols should go */
1742   ierr = MatGetSize(aB,NULL,&ng);CHKERRQ(ierr);
1743   ierr = PetscMalloc(ng*sizeof(PetscInt),&gcdest);CHKERRQ(ierr);
1744   ierr = PetscSFCreate(PetscObjectComm((PetscObject)A),&sf);CHKERRQ(ierr);
1745   ierr = PetscSFSetGraphLayout(sf,A->cmap,ng,NULL,PETSC_OWN_POINTER,gcols);CHKERRQ(ierr);
1746   ierr = PetscSFSetFromOptions(sf);CHKERRQ(ierr);
1747   ierr = PetscSFBcastBegin(sf,MPIU_INT,cdest,gcdest);CHKERRQ(ierr);
1748   ierr = PetscSFBcastEnd(sf,MPIU_INT,cdest,gcdest);CHKERRQ(ierr);
1749   ierr = PetscSFDestroy(&sf);CHKERRQ(ierr);
1750 
1751   ierr = PetscMalloc4(m,PetscInt,&dnnz,m,PetscInt,&onnz,m,PetscInt,&tdnnz,m,PetscInt,&tonnz);CHKERRQ(ierr);
1752   ierr = PetscMemzero(dnnz,m*sizeof(PetscInt));CHKERRQ(ierr);
1753   ierr = PetscMemzero(onnz,m*sizeof(PetscInt));CHKERRQ(ierr);
1754   ierr = MatGetRowIJ(aA,0,PETSC_FALSE,PETSC_FALSE,&anz,&ai,&aj,&done);CHKERRQ(ierr);
1755   ierr = MatGetRowIJ(aB,0,PETSC_FALSE,PETSC_FALSE,&bnz,&bi,&bj,&done);CHKERRQ(ierr);
1756   for (i=0; i<m; i++) {
1757     PetscInt row = rdest[i],rowner;
1758     ierr = PetscLayoutFindOwner(A->rmap,row,&rowner);CHKERRQ(ierr);
1759     for (j=ai[i]; j<ai[i+1]; j++) {
1760       PetscInt cowner,col = cdest[aj[j]];
1761       ierr = PetscLayoutFindOwner(A->cmap,col,&cowner);CHKERRQ(ierr); /* Could build an index for the columns to eliminate this search */
1762       if (rowner == cowner) dnnz[i]++;
1763       else onnz[i]++;
1764     }
1765     for (j=bi[i]; j<bi[i+1]; j++) {
1766       PetscInt cowner,col = gcdest[bj[j]];
1767       ierr = PetscLayoutFindOwner(A->cmap,col,&cowner);CHKERRQ(ierr);
1768       if (rowner == cowner) dnnz[i]++;
1769       else onnz[i]++;
1770     }
1771   }
1772   ierr = PetscMemzero(tdnnz,m*sizeof(PetscInt));CHKERRQ(ierr);
1773   ierr = PetscMemzero(tonnz,m*sizeof(PetscInt));CHKERRQ(ierr);
1774   ierr = PetscSFBcastBegin(rowsf,MPIU_INT,dnnz,tdnnz);CHKERRQ(ierr);
1775   ierr = PetscSFBcastEnd(rowsf,MPIU_INT,dnnz,tdnnz);CHKERRQ(ierr);
1776   ierr = PetscSFBcastBegin(rowsf,MPIU_INT,onnz,tonnz);CHKERRQ(ierr);
1777   ierr = PetscSFBcastEnd(rowsf,MPIU_INT,onnz,tonnz);CHKERRQ(ierr);
1778   ierr = PetscSFDestroy(&rowsf);CHKERRQ(ierr);
1779 
1780   ierr = MatCreateAIJ(PetscObjectComm((PetscObject)A),A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N,0,tdnnz,0,tonnz,&Aperm);CHKERRQ(ierr);
1781   ierr = MatSeqAIJGetArray(aA,&aa);CHKERRQ(ierr);
1782   ierr = MatSeqAIJGetArray(aB,&ba);CHKERRQ(ierr);
1783   for (i=0; i<m; i++) {
1784     PetscInt *acols = dnnz,*bcols = onnz; /* Repurpose now-unneeded arrays */
1785     PetscInt rowlen;
1786     rowlen = ai[i+1] - ai[i];
1787     for (j=0; j<rowlen; j++) acols[j] = cdest[aj[ai[i]+j]];
1788     ierr   = MatSetValues(Aperm,1,&rdest[i],rowlen,acols,aa+ai[i],INSERT_VALUES);CHKERRQ(ierr);
1789     rowlen = bi[i+1] - bi[i];
1790     for (j=0; j<rowlen; j++) bcols[j] = gcdest[bj[bi[i]+j]];
1791     ierr = MatSetValues(Aperm,1,&rdest[i],rowlen,bcols,ba+bi[i],INSERT_VALUES);CHKERRQ(ierr);
1792   }
1793   ierr = MatAssemblyBegin(Aperm,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1794   ierr = MatAssemblyEnd(Aperm,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1795   ierr = MatRestoreRowIJ(aA,0,PETSC_FALSE,PETSC_FALSE,&anz,&ai,&aj,&done);CHKERRQ(ierr);
1796   ierr = MatRestoreRowIJ(aB,0,PETSC_FALSE,PETSC_FALSE,&bnz,&bi,&bj,&done);CHKERRQ(ierr);
1797   ierr = MatSeqAIJRestoreArray(aA,&aa);CHKERRQ(ierr);
1798   ierr = MatSeqAIJRestoreArray(aB,&ba);CHKERRQ(ierr);
1799   ierr = PetscFree4(dnnz,onnz,tdnnz,tonnz);CHKERRQ(ierr);
1800   ierr = PetscFree3(work,rdest,cdest);CHKERRQ(ierr);
1801   ierr = PetscFree(gcdest);CHKERRQ(ierr);
1802   if (parcolp) {ierr = ISDestroy(&colp);CHKERRQ(ierr);}
1803   *B = Aperm;
1804   PetscFunctionReturn(0);
1805 }
1806 
1807 #undef __FUNCT__
1808 #define __FUNCT__ "MatGetInfo_MPIAIJ"
1809 PetscErrorCode MatGetInfo_MPIAIJ(Mat matin,MatInfoType flag,MatInfo *info)
1810 {
1811   Mat_MPIAIJ     *mat = (Mat_MPIAIJ*)matin->data;
1812   Mat            A    = mat->A,B = mat->B;
1813   PetscErrorCode ierr;
1814   PetscReal      isend[5],irecv[5];
1815 
1816   PetscFunctionBegin;
1817   info->block_size = 1.0;
1818   ierr             = MatGetInfo(A,MAT_LOCAL,info);CHKERRQ(ierr);
1819 
1820   isend[0] = info->nz_used; isend[1] = info->nz_allocated; isend[2] = info->nz_unneeded;
1821   isend[3] = info->memory;  isend[4] = info->mallocs;
1822 
1823   ierr = MatGetInfo(B,MAT_LOCAL,info);CHKERRQ(ierr);
1824 
1825   isend[0] += info->nz_used; isend[1] += info->nz_allocated; isend[2] += info->nz_unneeded;
1826   isend[3] += info->memory;  isend[4] += info->mallocs;
1827   if (flag == MAT_LOCAL) {
1828     info->nz_used      = isend[0];
1829     info->nz_allocated = isend[1];
1830     info->nz_unneeded  = isend[2];
1831     info->memory       = isend[3];
1832     info->mallocs      = isend[4];
1833   } else if (flag == MAT_GLOBAL_MAX) {
1834     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)matin));CHKERRQ(ierr);
1835 
1836     info->nz_used      = irecv[0];
1837     info->nz_allocated = irecv[1];
1838     info->nz_unneeded  = irecv[2];
1839     info->memory       = irecv[3];
1840     info->mallocs      = irecv[4];
1841   } else if (flag == MAT_GLOBAL_SUM) {
1842     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)matin));CHKERRQ(ierr);
1843 
1844     info->nz_used      = irecv[0];
1845     info->nz_allocated = irecv[1];
1846     info->nz_unneeded  = irecv[2];
1847     info->memory       = irecv[3];
1848     info->mallocs      = irecv[4];
1849   }
1850   info->fill_ratio_given  = 0; /* no parallel LU/ILU/Cholesky */
1851   info->fill_ratio_needed = 0;
1852   info->factor_mallocs    = 0;
1853   PetscFunctionReturn(0);
1854 }
1855 
1856 #undef __FUNCT__
1857 #define __FUNCT__ "MatSetOption_MPIAIJ"
1858 PetscErrorCode MatSetOption_MPIAIJ(Mat A,MatOption op,PetscBool flg)
1859 {
1860   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
1861   PetscErrorCode ierr;
1862 
1863   PetscFunctionBegin;
1864   switch (op) {
1865   case MAT_NEW_NONZERO_LOCATIONS:
1866   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1867   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1868   case MAT_KEEP_NONZERO_PATTERN:
1869   case MAT_NEW_NONZERO_LOCATION_ERR:
1870   case MAT_USE_INODES:
1871   case MAT_IGNORE_ZERO_ENTRIES:
1872     MatCheckPreallocated(A,1);
1873     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1874     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1875     break;
1876   case MAT_ROW_ORIENTED:
1877     a->roworiented = flg;
1878 
1879     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1880     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1881     break;
1882   case MAT_NEW_DIAGONALS:
1883     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1884     break;
1885   case MAT_IGNORE_OFF_PROC_ENTRIES:
1886     a->donotstash = flg;
1887     break;
1888   case MAT_SPD:
1889     A->spd_set = PETSC_TRUE;
1890     A->spd     = flg;
1891     if (flg) {
1892       A->symmetric                  = PETSC_TRUE;
1893       A->structurally_symmetric     = PETSC_TRUE;
1894       A->symmetric_set              = PETSC_TRUE;
1895       A->structurally_symmetric_set = PETSC_TRUE;
1896     }
1897     break;
1898   case MAT_SYMMETRIC:
1899     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1900     break;
1901   case MAT_STRUCTURALLY_SYMMETRIC:
1902     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1903     break;
1904   case MAT_HERMITIAN:
1905     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1906     break;
1907   case MAT_SYMMETRY_ETERNAL:
1908     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1909     break;
1910   default:
1911     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
1912   }
1913   PetscFunctionReturn(0);
1914 }
1915 
1916 #undef __FUNCT__
1917 #define __FUNCT__ "MatGetRow_MPIAIJ"
1918 PetscErrorCode MatGetRow_MPIAIJ(Mat matin,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1919 {
1920   Mat_MPIAIJ     *mat = (Mat_MPIAIJ*)matin->data;
1921   PetscScalar    *vworkA,*vworkB,**pvA,**pvB,*v_p;
1922   PetscErrorCode ierr;
1923   PetscInt       i,*cworkA,*cworkB,**pcA,**pcB,cstart = matin->cmap->rstart;
1924   PetscInt       nztot,nzA,nzB,lrow,rstart = matin->rmap->rstart,rend = matin->rmap->rend;
1925   PetscInt       *cmap,*idx_p;
1926 
1927   PetscFunctionBegin;
1928   if (mat->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Already active");
1929   mat->getrowactive = PETSC_TRUE;
1930 
1931   if (!mat->rowvalues && (idx || v)) {
1932     /*
1933         allocate enough space to hold information from the longest row.
1934     */
1935     Mat_SeqAIJ *Aa = (Mat_SeqAIJ*)mat->A->data,*Ba = (Mat_SeqAIJ*)mat->B->data;
1936     PetscInt   max = 1,tmp;
1937     for (i=0; i<matin->rmap->n; i++) {
1938       tmp = Aa->i[i+1] - Aa->i[i] + Ba->i[i+1] - Ba->i[i];
1939       if (max < tmp) max = tmp;
1940     }
1941     ierr = PetscMalloc2(max,PetscScalar,&mat->rowvalues,max,PetscInt,&mat->rowindices);CHKERRQ(ierr);
1942   }
1943 
1944   if (row < rstart || row >= rend) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Only local rows");
1945   lrow = row - rstart;
1946 
1947   pvA = &vworkA; pcA = &cworkA; pvB = &vworkB; pcB = &cworkB;
1948   if (!v)   {pvA = 0; pvB = 0;}
1949   if (!idx) {pcA = 0; if (!v) pcB = 0;}
1950   ierr  = (*mat->A->ops->getrow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1951   ierr  = (*mat->B->ops->getrow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1952   nztot = nzA + nzB;
1953 
1954   cmap = mat->garray;
1955   if (v  || idx) {
1956     if (nztot) {
1957       /* Sort by increasing column numbers, assuming A and B already sorted */
1958       PetscInt imark = -1;
1959       if (v) {
1960         *v = v_p = mat->rowvalues;
1961         for (i=0; i<nzB; i++) {
1962           if (cmap[cworkB[i]] < cstart) v_p[i] = vworkB[i];
1963           else break;
1964         }
1965         imark = i;
1966         for (i=0; i<nzA; i++)     v_p[imark+i] = vworkA[i];
1967         for (i=imark; i<nzB; i++) v_p[nzA+i]   = vworkB[i];
1968       }
1969       if (idx) {
1970         *idx = idx_p = mat->rowindices;
1971         if (imark > -1) {
1972           for (i=0; i<imark; i++) {
1973             idx_p[i] = cmap[cworkB[i]];
1974           }
1975         } else {
1976           for (i=0; i<nzB; i++) {
1977             if (cmap[cworkB[i]] < cstart) idx_p[i] = cmap[cworkB[i]];
1978             else break;
1979           }
1980           imark = i;
1981         }
1982         for (i=0; i<nzA; i++)     idx_p[imark+i] = cstart + cworkA[i];
1983         for (i=imark; i<nzB; i++) idx_p[nzA+i]   = cmap[cworkB[i]];
1984       }
1985     } else {
1986       if (idx) *idx = 0;
1987       if (v)   *v   = 0;
1988     }
1989   }
1990   *nz  = nztot;
1991   ierr = (*mat->A->ops->restorerow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1992   ierr = (*mat->B->ops->restorerow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1993   PetscFunctionReturn(0);
1994 }
1995 
1996 #undef __FUNCT__
1997 #define __FUNCT__ "MatRestoreRow_MPIAIJ"
1998 PetscErrorCode MatRestoreRow_MPIAIJ(Mat mat,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1999 {
2000   Mat_MPIAIJ *aij = (Mat_MPIAIJ*)mat->data;
2001 
2002   PetscFunctionBegin;
2003   if (!aij->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"MatGetRow() must be called first");
2004   aij->getrowactive = PETSC_FALSE;
2005   PetscFunctionReturn(0);
2006 }
2007 
2008 #undef __FUNCT__
2009 #define __FUNCT__ "MatNorm_MPIAIJ"
2010 PetscErrorCode MatNorm_MPIAIJ(Mat mat,NormType type,PetscReal *norm)
2011 {
2012   Mat_MPIAIJ     *aij  = (Mat_MPIAIJ*)mat->data;
2013   Mat_SeqAIJ     *amat = (Mat_SeqAIJ*)aij->A->data,*bmat = (Mat_SeqAIJ*)aij->B->data;
2014   PetscErrorCode ierr;
2015   PetscInt       i,j,cstart = mat->cmap->rstart;
2016   PetscReal      sum = 0.0;
2017   MatScalar      *v;
2018 
2019   PetscFunctionBegin;
2020   if (aij->size == 1) {
2021     ierr =  MatNorm(aij->A,type,norm);CHKERRQ(ierr);
2022   } else {
2023     if (type == NORM_FROBENIUS) {
2024       v = amat->a;
2025       for (i=0; i<amat->nz; i++) {
2026         sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
2027       }
2028       v = bmat->a;
2029       for (i=0; i<bmat->nz; i++) {
2030         sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
2031       }
2032       ierr  = MPI_Allreduce(&sum,norm,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
2033       *norm = PetscSqrtReal(*norm);
2034     } else if (type == NORM_1) { /* max column norm */
2035       PetscReal *tmp,*tmp2;
2036       PetscInt  *jj,*garray = aij->garray;
2037       ierr  = PetscMalloc((mat->cmap->N+1)*sizeof(PetscReal),&tmp);CHKERRQ(ierr);
2038       ierr  = PetscMalloc((mat->cmap->N+1)*sizeof(PetscReal),&tmp2);CHKERRQ(ierr);
2039       ierr  = PetscMemzero(tmp,mat->cmap->N*sizeof(PetscReal));CHKERRQ(ierr);
2040       *norm = 0.0;
2041       v     = amat->a; jj = amat->j;
2042       for (j=0; j<amat->nz; j++) {
2043         tmp[cstart + *jj++] += PetscAbsScalar(*v);  v++;
2044       }
2045       v = bmat->a; jj = bmat->j;
2046       for (j=0; j<bmat->nz; j++) {
2047         tmp[garray[*jj++]] += PetscAbsScalar(*v); v++;
2048       }
2049       ierr = MPI_Allreduce(tmp,tmp2,mat->cmap->N,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
2050       for (j=0; j<mat->cmap->N; j++) {
2051         if (tmp2[j] > *norm) *norm = tmp2[j];
2052       }
2053       ierr = PetscFree(tmp);CHKERRQ(ierr);
2054       ierr = PetscFree(tmp2);CHKERRQ(ierr);
2055     } else if (type == NORM_INFINITY) { /* max row norm */
2056       PetscReal ntemp = 0.0;
2057       for (j=0; j<aij->A->rmap->n; j++) {
2058         v   = amat->a + amat->i[j];
2059         sum = 0.0;
2060         for (i=0; i<amat->i[j+1]-amat->i[j]; i++) {
2061           sum += PetscAbsScalar(*v); v++;
2062         }
2063         v = bmat->a + bmat->i[j];
2064         for (i=0; i<bmat->i[j+1]-bmat->i[j]; i++) {
2065           sum += PetscAbsScalar(*v); v++;
2066         }
2067         if (sum > ntemp) ntemp = sum;
2068       }
2069       ierr = MPI_Allreduce(&ntemp,norm,1,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)mat));CHKERRQ(ierr);
2070     } else SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"No support for two norm");
2071   }
2072   PetscFunctionReturn(0);
2073 }
2074 
2075 #undef __FUNCT__
2076 #define __FUNCT__ "MatTranspose_MPIAIJ"
2077 PetscErrorCode MatTranspose_MPIAIJ(Mat A,MatReuse reuse,Mat *matout)
2078 {
2079   Mat_MPIAIJ     *a   = (Mat_MPIAIJ*)A->data;
2080   Mat_SeqAIJ     *Aloc=(Mat_SeqAIJ*)a->A->data,*Bloc=(Mat_SeqAIJ*)a->B->data;
2081   PetscErrorCode ierr;
2082   PetscInt       M      = A->rmap->N,N = A->cmap->N,ma,na,mb,nb,*ai,*aj,*bi,*bj,row,*cols,*cols_tmp,i;
2083   PetscInt       cstart = A->cmap->rstart,ncol;
2084   Mat            B;
2085   MatScalar      *array;
2086 
2087   PetscFunctionBegin;
2088   if (reuse == MAT_REUSE_MATRIX && A == *matout && M != N) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_SIZ,"Square matrix only for in-place");
2089 
2090   ma = A->rmap->n; na = A->cmap->n; mb = a->B->rmap->n; nb = a->B->cmap->n;
2091   ai = Aloc->i; aj = Aloc->j;
2092   bi = Bloc->i; bj = Bloc->j;
2093   if (reuse == MAT_INITIAL_MATRIX || *matout == A) {
2094     PetscInt             *d_nnz,*g_nnz,*o_nnz;
2095     PetscSFNode          *oloc;
2096     PETSC_UNUSED PetscSF sf;
2097 
2098     ierr = PetscMalloc4(na,PetscInt,&d_nnz,na,PetscInt,&o_nnz,nb,PetscInt,&g_nnz,nb,PetscSFNode,&oloc);CHKERRQ(ierr);
2099     /* compute d_nnz for preallocation */
2100     ierr = PetscMemzero(d_nnz,na*sizeof(PetscInt));CHKERRQ(ierr);
2101     for (i=0; i<ai[ma]; i++) {
2102       d_nnz[aj[i]]++;
2103       aj[i] += cstart; /* global col index to be used by MatSetValues() */
2104     }
2105     /* compute local off-diagonal contributions */
2106     ierr = PetscMemzero(g_nnz,nb*sizeof(PetscInt));CHKERRQ(ierr);
2107     for (i=0; i<bi[ma]; i++) g_nnz[bj[i]]++;
2108     /* map those to global */
2109     ierr = PetscSFCreate(PetscObjectComm((PetscObject)A),&sf);CHKERRQ(ierr);
2110     ierr = PetscSFSetGraphLayout(sf,A->cmap,nb,NULL,PETSC_USE_POINTER,a->garray);CHKERRQ(ierr);
2111     ierr = PetscSFSetFromOptions(sf);CHKERRQ(ierr);
2112     ierr = PetscMemzero(o_nnz,na*sizeof(PetscInt));CHKERRQ(ierr);
2113     ierr = PetscSFReduceBegin(sf,MPIU_INT,g_nnz,o_nnz,MPIU_SUM);CHKERRQ(ierr);
2114     ierr = PetscSFReduceEnd(sf,MPIU_INT,g_nnz,o_nnz,MPIU_SUM);CHKERRQ(ierr);
2115     ierr = PetscSFDestroy(&sf);CHKERRQ(ierr);
2116 
2117     ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2118     ierr = MatSetSizes(B,A->cmap->n,A->rmap->n,N,M);CHKERRQ(ierr);
2119     ierr = MatSetBlockSizes(B,A->cmap->bs,A->rmap->bs);CHKERRQ(ierr);
2120     ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2121     ierr = MatMPIAIJSetPreallocation(B,0,d_nnz,0,o_nnz);CHKERRQ(ierr);
2122     ierr = PetscFree4(d_nnz,o_nnz,g_nnz,oloc);CHKERRQ(ierr);
2123   } else {
2124     B    = *matout;
2125     ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
2126     for (i=0; i<ai[ma]; i++) aj[i] += cstart; /* global col index to be used by MatSetValues() */
2127   }
2128 
2129   /* copy over the A part */
2130   array = Aloc->a;
2131   row   = A->rmap->rstart;
2132   for (i=0; i<ma; i++) {
2133     ncol = ai[i+1]-ai[i];
2134     ierr = MatSetValues(B,ncol,aj,1,&row,array,INSERT_VALUES);CHKERRQ(ierr);
2135     row++;
2136     array += ncol; aj += ncol;
2137   }
2138   aj = Aloc->j;
2139   for (i=0; i<ai[ma]; i++) aj[i] -= cstart; /* resume local col index */
2140 
2141   /* copy over the B part */
2142   ierr  = PetscMalloc(bi[mb]*sizeof(PetscInt),&cols);CHKERRQ(ierr);
2143   ierr  = PetscMemzero(cols,bi[mb]*sizeof(PetscInt));CHKERRQ(ierr);
2144   array = Bloc->a;
2145   row   = A->rmap->rstart;
2146   for (i=0; i<bi[mb]; i++) cols[i] = a->garray[bj[i]];
2147   cols_tmp = cols;
2148   for (i=0; i<mb; i++) {
2149     ncol = bi[i+1]-bi[i];
2150     ierr = MatSetValues(B,ncol,cols_tmp,1,&row,array,INSERT_VALUES);CHKERRQ(ierr);
2151     row++;
2152     array += ncol; cols_tmp += ncol;
2153   }
2154   ierr = PetscFree(cols);CHKERRQ(ierr);
2155 
2156   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2157   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2158   if (reuse == MAT_INITIAL_MATRIX || *matout != A) {
2159     *matout = B;
2160   } else {
2161     ierr = MatHeaderMerge(A,B);CHKERRQ(ierr);
2162   }
2163   PetscFunctionReturn(0);
2164 }
2165 
2166 #undef __FUNCT__
2167 #define __FUNCT__ "MatDiagonalScale_MPIAIJ"
2168 PetscErrorCode MatDiagonalScale_MPIAIJ(Mat mat,Vec ll,Vec rr)
2169 {
2170   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)mat->data;
2171   Mat            a    = aij->A,b = aij->B;
2172   PetscErrorCode ierr;
2173   PetscInt       s1,s2,s3;
2174 
2175   PetscFunctionBegin;
2176   ierr = MatGetLocalSize(mat,&s2,&s3);CHKERRQ(ierr);
2177   if (rr) {
2178     ierr = VecGetLocalSize(rr,&s1);CHKERRQ(ierr);
2179     if (s1!=s3) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"right vector non-conforming local size");
2180     /* Overlap communication with computation. */
2181     ierr = VecScatterBegin(aij->Mvctx,rr,aij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2182   }
2183   if (ll) {
2184     ierr = VecGetLocalSize(ll,&s1);CHKERRQ(ierr);
2185     if (s1!=s2) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"left vector non-conforming local size");
2186     ierr = (*b->ops->diagonalscale)(b,ll,0);CHKERRQ(ierr);
2187   }
2188   /* scale  the diagonal block */
2189   ierr = (*a->ops->diagonalscale)(a,ll,rr);CHKERRQ(ierr);
2190 
2191   if (rr) {
2192     /* Do a scatter end and then right scale the off-diagonal block */
2193     ierr = VecScatterEnd(aij->Mvctx,rr,aij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2194     ierr = (*b->ops->diagonalscale)(b,0,aij->lvec);CHKERRQ(ierr);
2195   }
2196   PetscFunctionReturn(0);
2197 }
2198 
2199 #undef __FUNCT__
2200 #define __FUNCT__ "MatSetUnfactored_MPIAIJ"
2201 PetscErrorCode MatSetUnfactored_MPIAIJ(Mat A)
2202 {
2203   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
2204   PetscErrorCode ierr;
2205 
2206   PetscFunctionBegin;
2207   ierr = MatSetUnfactored(a->A);CHKERRQ(ierr);
2208   PetscFunctionReturn(0);
2209 }
2210 
2211 #undef __FUNCT__
2212 #define __FUNCT__ "MatEqual_MPIAIJ"
2213 PetscErrorCode MatEqual_MPIAIJ(Mat A,Mat B,PetscBool  *flag)
2214 {
2215   Mat_MPIAIJ     *matB = (Mat_MPIAIJ*)B->data,*matA = (Mat_MPIAIJ*)A->data;
2216   Mat            a,b,c,d;
2217   PetscBool      flg;
2218   PetscErrorCode ierr;
2219 
2220   PetscFunctionBegin;
2221   a = matA->A; b = matA->B;
2222   c = matB->A; d = matB->B;
2223 
2224   ierr = MatEqual(a,c,&flg);CHKERRQ(ierr);
2225   if (flg) {
2226     ierr = MatEqual(b,d,&flg);CHKERRQ(ierr);
2227   }
2228   ierr = MPI_Allreduce(&flg,flag,1,MPIU_BOOL,MPI_LAND,PetscObjectComm((PetscObject)A));CHKERRQ(ierr);
2229   PetscFunctionReturn(0);
2230 }
2231 
2232 #undef __FUNCT__
2233 #define __FUNCT__ "MatCopy_MPIAIJ"
2234 PetscErrorCode MatCopy_MPIAIJ(Mat A,Mat B,MatStructure str)
2235 {
2236   PetscErrorCode ierr;
2237   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
2238   Mat_MPIAIJ     *b = (Mat_MPIAIJ*)B->data;
2239 
2240   PetscFunctionBegin;
2241   /* If the two matrices don't have the same copy implementation, they aren't compatible for fast copy. */
2242   if ((str != SAME_NONZERO_PATTERN) || (A->ops->copy != B->ops->copy)) {
2243     /* because of the column compression in the off-processor part of the matrix a->B,
2244        the number of columns in a->B and b->B may be different, hence we cannot call
2245        the MatCopy() directly on the two parts. If need be, we can provide a more
2246        efficient copy than the MatCopy_Basic() by first uncompressing the a->B matrices
2247        then copying the submatrices */
2248     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
2249   } else {
2250     ierr = MatCopy(a->A,b->A,str);CHKERRQ(ierr);
2251     ierr = MatCopy(a->B,b->B,str);CHKERRQ(ierr);
2252   }
2253   PetscFunctionReturn(0);
2254 }
2255 
2256 #undef __FUNCT__
2257 #define __FUNCT__ "MatSetUp_MPIAIJ"
2258 PetscErrorCode MatSetUp_MPIAIJ(Mat A)
2259 {
2260   PetscErrorCode ierr;
2261 
2262   PetscFunctionBegin;
2263   ierr =  MatMPIAIJSetPreallocation(A,PETSC_DEFAULT,0,PETSC_DEFAULT,0);CHKERRQ(ierr);
2264   PetscFunctionReturn(0);
2265 }
2266 
2267 #undef __FUNCT__
2268 #define __FUNCT__ "MatAXPYGetPreallocation_MPIAIJ"
2269 /* This is the same as MatAXPYGetPreallocation_SeqAIJ, except that the local-to-global map is provided */
2270 static PetscErrorCode MatAXPYGetPreallocation_MPIAIJ(Mat Y,const PetscInt *yltog,Mat X,const PetscInt *xltog,PetscInt *nnz)
2271 {
2272   PetscInt       i,m=Y->rmap->N;
2273   Mat_SeqAIJ     *x  = (Mat_SeqAIJ*)X->data;
2274   Mat_SeqAIJ     *y  = (Mat_SeqAIJ*)Y->data;
2275   const PetscInt *xi = x->i,*yi = y->i;
2276 
2277   PetscFunctionBegin;
2278   /* Set the number of nonzeros in the new matrix */
2279   for (i=0; i<m; i++) {
2280     PetscInt       j,k,nzx = xi[i+1] - xi[i],nzy = yi[i+1] - yi[i];
2281     const PetscInt *xj = x->j+xi[i],*yj = y->j+yi[i];
2282     nnz[i] = 0;
2283     for (j=0,k=0; j<nzx; j++) {                   /* Point in X */
2284       for (; k<nzy && yltog[yj[k]]<xltog[xj[j]]; k++) nnz[i]++; /* Catch up to X */
2285       if (k<nzy && yltog[yj[k]]==xltog[xj[j]]) k++;             /* Skip duplicate */
2286       nnz[i]++;
2287     }
2288     for (; k<nzy; k++) nnz[i]++;
2289   }
2290   PetscFunctionReturn(0);
2291 }
2292 
2293 #undef __FUNCT__
2294 #define __FUNCT__ "MatAXPY_MPIAIJ"
2295 PetscErrorCode MatAXPY_MPIAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
2296 {
2297   PetscErrorCode ierr;
2298   PetscInt       i;
2299   Mat_MPIAIJ     *xx = (Mat_MPIAIJ*)X->data,*yy = (Mat_MPIAIJ*)Y->data;
2300   PetscBLASInt   bnz,one=1;
2301   Mat_SeqAIJ     *x,*y;
2302 
2303   PetscFunctionBegin;
2304   if (str == SAME_NONZERO_PATTERN) {
2305     PetscScalar alpha = a;
2306     x    = (Mat_SeqAIJ*)xx->A->data;
2307     ierr = PetscBLASIntCast(x->nz,&bnz);CHKERRQ(ierr);
2308     y    = (Mat_SeqAIJ*)yy->A->data;
2309     PetscStackCall("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
2310     x    = (Mat_SeqAIJ*)xx->B->data;
2311     y    = (Mat_SeqAIJ*)yy->B->data;
2312     ierr = PetscBLASIntCast(x->nz,&bnz);CHKERRQ(ierr);
2313     PetscStackCall("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
2314   } else if (str == SUBSET_NONZERO_PATTERN) {
2315     ierr = MatAXPY_SeqAIJ(yy->A,a,xx->A,str);CHKERRQ(ierr);
2316 
2317     x = (Mat_SeqAIJ*)xx->B->data;
2318     y = (Mat_SeqAIJ*)yy->B->data;
2319     if (y->xtoy && y->XtoY != xx->B) {
2320       ierr = PetscFree(y->xtoy);CHKERRQ(ierr);
2321       ierr = MatDestroy(&y->XtoY);CHKERRQ(ierr);
2322     }
2323     if (!y->xtoy) { /* get xtoy */
2324       ierr    = MatAXPYGetxtoy_Private(xx->B->rmap->n,x->i,x->j,xx->garray,y->i,y->j,yy->garray,&y->xtoy);CHKERRQ(ierr);
2325       y->XtoY = xx->B;
2326       ierr    = PetscObjectReference((PetscObject)xx->B);CHKERRQ(ierr);
2327     }
2328     for (i=0; i<x->nz; i++) y->a[y->xtoy[i]] += a*(x->a[i]);
2329   } else {
2330     Mat      B;
2331     PetscInt *nnz_d,*nnz_o;
2332     ierr = PetscMalloc(yy->A->rmap->N*sizeof(PetscInt),&nnz_d);CHKERRQ(ierr);
2333     ierr = PetscMalloc(yy->B->rmap->N*sizeof(PetscInt),&nnz_o);CHKERRQ(ierr);
2334     ierr = MatCreate(PetscObjectComm((PetscObject)Y),&B);CHKERRQ(ierr);
2335     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
2336     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
2337     ierr = MatSetBlockSizes(B,Y->rmap->bs,Y->cmap->bs);CHKERRQ(ierr);
2338     ierr = MatSetType(B,MATMPIAIJ);CHKERRQ(ierr);
2339     ierr = MatAXPYGetPreallocation_SeqAIJ(yy->A,xx->A,nnz_d);CHKERRQ(ierr);
2340     ierr = MatAXPYGetPreallocation_MPIAIJ(yy->B,yy->garray,xx->B,xx->garray,nnz_o);CHKERRQ(ierr);
2341     ierr = MatMPIAIJSetPreallocation(B,0,nnz_d,0,nnz_o);CHKERRQ(ierr);
2342     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
2343     ierr = MatHeaderReplace(Y,B);CHKERRQ(ierr);
2344     ierr = PetscFree(nnz_d);CHKERRQ(ierr);
2345     ierr = PetscFree(nnz_o);CHKERRQ(ierr);
2346   }
2347   PetscFunctionReturn(0);
2348 }
2349 
2350 extern PetscErrorCode  MatConjugate_SeqAIJ(Mat);
2351 
2352 #undef __FUNCT__
2353 #define __FUNCT__ "MatConjugate_MPIAIJ"
2354 PetscErrorCode  MatConjugate_MPIAIJ(Mat mat)
2355 {
2356 #if defined(PETSC_USE_COMPLEX)
2357   PetscErrorCode ierr;
2358   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)mat->data;
2359 
2360   PetscFunctionBegin;
2361   ierr = MatConjugate_SeqAIJ(aij->A);CHKERRQ(ierr);
2362   ierr = MatConjugate_SeqAIJ(aij->B);CHKERRQ(ierr);
2363 #else
2364   PetscFunctionBegin;
2365 #endif
2366   PetscFunctionReturn(0);
2367 }
2368 
2369 #undef __FUNCT__
2370 #define __FUNCT__ "MatRealPart_MPIAIJ"
2371 PetscErrorCode MatRealPart_MPIAIJ(Mat A)
2372 {
2373   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
2374   PetscErrorCode ierr;
2375 
2376   PetscFunctionBegin;
2377   ierr = MatRealPart(a->A);CHKERRQ(ierr);
2378   ierr = MatRealPart(a->B);CHKERRQ(ierr);
2379   PetscFunctionReturn(0);
2380 }
2381 
2382 #undef __FUNCT__
2383 #define __FUNCT__ "MatImaginaryPart_MPIAIJ"
2384 PetscErrorCode MatImaginaryPart_MPIAIJ(Mat A)
2385 {
2386   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
2387   PetscErrorCode ierr;
2388 
2389   PetscFunctionBegin;
2390   ierr = MatImaginaryPart(a->A);CHKERRQ(ierr);
2391   ierr = MatImaginaryPart(a->B);CHKERRQ(ierr);
2392   PetscFunctionReturn(0);
2393 }
2394 
2395 #if defined(PETSC_HAVE_PBGL)
2396 
2397 #include <boost/parallel/mpi/bsp_process_group.hpp>
2398 #include <boost/graph/distributed/ilu_default_graph.hpp>
2399 #include <boost/graph/distributed/ilu_0_block.hpp>
2400 #include <boost/graph/distributed/ilu_preconditioner.hpp>
2401 #include <boost/graph/distributed/petsc/interface.hpp>
2402 #include <boost/multi_array.hpp>
2403 #include <boost/parallel/distributed_property_map->hpp>
2404 
2405 #undef __FUNCT__
2406 #define __FUNCT__ "MatILUFactorSymbolic_MPIAIJ"
2407 /*
2408   This uses the parallel ILU factorization of Peter Gottschling <pgottsch@osl.iu.edu>
2409 */
2410 PetscErrorCode MatILUFactorSymbolic_MPIAIJ(Mat fact,Mat A, IS isrow, IS iscol, const MatFactorInfo *info)
2411 {
2412   namespace petsc = boost::distributed::petsc;
2413 
2414   namespace graph_dist = boost::graph::distributed;
2415   using boost::graph::distributed::ilu_default::process_group_type;
2416   using boost::graph::ilu_permuted;
2417 
2418   PetscBool      row_identity, col_identity;
2419   PetscContainer c;
2420   PetscInt       m, n, M, N;
2421   PetscErrorCode ierr;
2422 
2423   PetscFunctionBegin;
2424   if (info->levels != 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only levels = 0 supported for parallel ilu");
2425   ierr = ISIdentity(isrow, &row_identity);CHKERRQ(ierr);
2426   ierr = ISIdentity(iscol, &col_identity);CHKERRQ(ierr);
2427   if (!row_identity || !col_identity) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Row and column permutations must be identity for parallel ILU");
2428 
2429   process_group_type pg;
2430   typedef graph_dist::ilu_default::ilu_level_graph_type lgraph_type;
2431   lgraph_type  *lgraph_p   = new lgraph_type(petsc::num_global_vertices(A), pg, petsc::matrix_distribution(A, pg));
2432   lgraph_type& level_graph = *lgraph_p;
2433   graph_dist::ilu_default::graph_type&            graph(level_graph.graph);
2434 
2435   petsc::read_matrix(A, graph, get(boost::edge_weight, graph));
2436   ilu_permuted(level_graph);
2437 
2438   /* put together the new matrix */
2439   ierr = MatCreate(PetscObjectComm((PetscObject)A), fact);CHKERRQ(ierr);
2440   ierr = MatGetLocalSize(A, &m, &n);CHKERRQ(ierr);
2441   ierr = MatGetSize(A, &M, &N);CHKERRQ(ierr);
2442   ierr = MatSetSizes(fact, m, n, M, N);CHKERRQ(ierr);
2443   ierr = MatSetBlockSizes(fact,A->rmap->bs,A->cmap->bs);CHKERRQ(ierr);
2444   ierr = MatSetType(fact, ((PetscObject)A)->type_name);CHKERRQ(ierr);
2445   ierr = MatAssemblyBegin(fact, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2446   ierr = MatAssemblyEnd(fact, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2447 
2448   ierr = PetscContainerCreate(PetscObjectComm((PetscObject)A), &c);
2449   ierr = PetscContainerSetPointer(c, lgraph_p);
2450   ierr = PetscObjectCompose((PetscObject) (fact), "graph", (PetscObject) c);
2451   ierr = PetscContainerDestroy(&c);
2452   PetscFunctionReturn(0);
2453 }
2454 
2455 #undef __FUNCT__
2456 #define __FUNCT__ "MatLUFactorNumeric_MPIAIJ"
2457 PetscErrorCode MatLUFactorNumeric_MPIAIJ(Mat B,Mat A, const MatFactorInfo *info)
2458 {
2459   PetscFunctionBegin;
2460   PetscFunctionReturn(0);
2461 }
2462 
2463 #undef __FUNCT__
2464 #define __FUNCT__ "MatSolve_MPIAIJ"
2465 /*
2466   This uses the parallel ILU factorization of Peter Gottschling <pgottsch@osl.iu.edu>
2467 */
2468 PetscErrorCode MatSolve_MPIAIJ(Mat A, Vec b, Vec x)
2469 {
2470   namespace graph_dist = boost::graph::distributed;
2471 
2472   typedef graph_dist::ilu_default::ilu_level_graph_type lgraph_type;
2473   lgraph_type    *lgraph_p;
2474   PetscContainer c;
2475   PetscErrorCode ierr;
2476 
2477   PetscFunctionBegin;
2478   ierr = PetscObjectQuery((PetscObject) A, "graph", (PetscObject*) &c);CHKERRQ(ierr);
2479   ierr = PetscContainerGetPointer(c, (void**) &lgraph_p);CHKERRQ(ierr);
2480   ierr = VecCopy(b, x);CHKERRQ(ierr);
2481 
2482   PetscScalar *array_x;
2483   ierr = VecGetArray(x, &array_x);CHKERRQ(ierr);
2484   PetscInt sx;
2485   ierr = VecGetSize(x, &sx);CHKERRQ(ierr);
2486 
2487   PetscScalar *array_b;
2488   ierr = VecGetArray(b, &array_b);CHKERRQ(ierr);
2489   PetscInt sb;
2490   ierr = VecGetSize(b, &sb);CHKERRQ(ierr);
2491 
2492   lgraph_type& level_graph = *lgraph_p;
2493   graph_dist::ilu_default::graph_type&            graph(level_graph.graph);
2494 
2495   typedef boost::multi_array_ref<PetscScalar, 1> array_ref_type;
2496   array_ref_type                                 ref_b(array_b, boost::extents[num_vertices(graph)]);
2497   array_ref_type                                 ref_x(array_x, boost::extents[num_vertices(graph)]);
2498 
2499   typedef boost::iterator_property_map<array_ref_type::iterator,
2500                                        boost::property_map<graph_dist::ilu_default::graph_type, boost::vertex_index_t>::type>  gvector_type;
2501   gvector_type                                   vector_b(ref_b.begin(), get(boost::vertex_index, graph));
2502   gvector_type                                   vector_x(ref_x.begin(), get(boost::vertex_index, graph));
2503 
2504   ilu_set_solve(*lgraph_p, vector_b, vector_x);
2505   PetscFunctionReturn(0);
2506 }
2507 #endif
2508 
2509 typedef struct { /* used by MatGetRedundantMatrix() for reusing matredundant */
2510   PetscInt    nzlocal,nsends,nrecvs;
2511   PetscMPIInt *send_rank,*recv_rank;
2512   PetscInt    *sbuf_nz,*rbuf_nz,*sbuf_j,**rbuf_j;
2513   PetscScalar *sbuf_a,**rbuf_a;
2514   PetscErrorCode (*Destroy)(Mat);
2515 } Mat_Redundant;
2516 
2517 #undef __FUNCT__
2518 #define __FUNCT__ "PetscContainerDestroy_MatRedundant"
2519 PetscErrorCode PetscContainerDestroy_MatRedundant(void *ptr)
2520 {
2521   PetscErrorCode ierr;
2522   Mat_Redundant  *redund=(Mat_Redundant*)ptr;
2523   PetscInt       i;
2524 
2525   PetscFunctionBegin;
2526   ierr = PetscFree2(redund->send_rank,redund->recv_rank);CHKERRQ(ierr);
2527   ierr = PetscFree(redund->sbuf_j);CHKERRQ(ierr);
2528   ierr = PetscFree(redund->sbuf_a);CHKERRQ(ierr);
2529   for (i=0; i<redund->nrecvs; i++) {
2530     ierr = PetscFree(redund->rbuf_j[i]);CHKERRQ(ierr);
2531     ierr = PetscFree(redund->rbuf_a[i]);CHKERRQ(ierr);
2532   }
2533   ierr = PetscFree4(redund->sbuf_nz,redund->rbuf_nz,redund->rbuf_j,redund->rbuf_a);CHKERRQ(ierr);
2534   ierr = PetscFree(redund);CHKERRQ(ierr);
2535   PetscFunctionReturn(0);
2536 }
2537 
2538 #undef __FUNCT__
2539 #define __FUNCT__ "MatDestroy_MatRedundant"
2540 PetscErrorCode MatDestroy_MatRedundant(Mat A)
2541 {
2542   PetscErrorCode ierr;
2543   PetscContainer container;
2544   Mat_Redundant  *redund=NULL;
2545 
2546   PetscFunctionBegin;
2547   ierr = PetscObjectQuery((PetscObject)A,"Mat_Redundant",(PetscObject*)&container);CHKERRQ(ierr);
2548   if (!container) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Container does not exit");
2549   ierr = PetscContainerGetPointer(container,(void**)&redund);CHKERRQ(ierr);
2550 
2551   A->ops->destroy = redund->Destroy;
2552 
2553   ierr = PetscObjectCompose((PetscObject)A,"Mat_Redundant",0);CHKERRQ(ierr);
2554   if (A->ops->destroy) {
2555     ierr = (*A->ops->destroy)(A);CHKERRQ(ierr);
2556   }
2557   PetscFunctionReturn(0);
2558 }
2559 
2560 #undef __FUNCT__
2561 #define __FUNCT__ "MatGetRedundantMatrix_MPIAIJ"
2562 PetscErrorCode MatGetRedundantMatrix_MPIAIJ(Mat mat,PetscInt nsubcomm,MPI_Comm subcomm,PetscInt mlocal_sub,MatReuse reuse,Mat *matredundant)
2563 {
2564   PetscMPIInt    rank,size;
2565   MPI_Comm       comm;
2566   PetscErrorCode ierr;
2567   PetscInt       nsends    = 0,nrecvs=0,i,rownz_max=0;
2568   PetscMPIInt    *send_rank= NULL,*recv_rank=NULL;
2569   PetscInt       *rowrange = mat->rmap->range;
2570   Mat_MPIAIJ     *aij      = (Mat_MPIAIJ*)mat->data;
2571   Mat            A         = aij->A,B=aij->B,C=*matredundant;
2572   Mat_SeqAIJ     *a        = (Mat_SeqAIJ*)A->data,*b=(Mat_SeqAIJ*)B->data;
2573   PetscScalar    *sbuf_a;
2574   PetscInt       nzlocal=a->nz+b->nz;
2575   PetscInt       j,cstart=mat->cmap->rstart,cend=mat->cmap->rend,row,nzA,nzB,ncols,*cworkA,*cworkB;
2576   PetscInt       rstart=mat->rmap->rstart,rend=mat->rmap->rend,*bmap=aij->garray,M,N;
2577   PetscInt       *cols,ctmp,lwrite,*rptr,l,*sbuf_j;
2578   MatScalar      *aworkA,*aworkB;
2579   PetscScalar    *vals;
2580   PetscMPIInt    tag1,tag2,tag3,imdex;
2581   MPI_Request    *s_waits1=NULL,*s_waits2=NULL,*s_waits3=NULL;
2582   MPI_Request    *r_waits1=NULL,*r_waits2=NULL,*r_waits3=NULL;
2583   MPI_Status     recv_status,*send_status;
2584   PetscInt       *sbuf_nz=NULL,*rbuf_nz=NULL,count;
2585   PetscInt       **rbuf_j=NULL;
2586   PetscScalar    **rbuf_a=NULL;
2587   Mat_Redundant  *redund =NULL;
2588   PetscContainer container;
2589 
2590   PetscFunctionBegin;
2591   ierr = PetscObjectGetComm((PetscObject)mat,&comm);CHKERRQ(ierr);
2592   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
2593   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2594 
2595   if (reuse == MAT_REUSE_MATRIX) {
2596     ierr = MatGetSize(C,&M,&N);CHKERRQ(ierr);
2597     if (M != N || M != mat->rmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. Wrong global size");
2598     ierr = MatGetLocalSize(C,&M,&N);CHKERRQ(ierr);
2599     if (M != N || M != mlocal_sub) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. Wrong local size");
2600     ierr = PetscObjectQuery((PetscObject)C,"Mat_Redundant",(PetscObject*)&container);CHKERRQ(ierr);
2601     if (!container) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Container does not exit");
2602     ierr = PetscContainerGetPointer(container,(void**)&redund);CHKERRQ(ierr);
2603     if (nzlocal != redund->nzlocal) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. Wrong nzlocal");
2604 
2605     nsends    = redund->nsends;
2606     nrecvs    = redund->nrecvs;
2607     send_rank = redund->send_rank;
2608     recv_rank = redund->recv_rank;
2609     sbuf_nz   = redund->sbuf_nz;
2610     rbuf_nz   = redund->rbuf_nz;
2611     sbuf_j    = redund->sbuf_j;
2612     sbuf_a    = redund->sbuf_a;
2613     rbuf_j    = redund->rbuf_j;
2614     rbuf_a    = redund->rbuf_a;
2615   }
2616 
2617   if (reuse == MAT_INITIAL_MATRIX) {
2618     PetscMPIInt subrank,subsize;
2619     PetscInt    nleftover,np_subcomm;
2620     /* get the destination processors' id send_rank, nsends and nrecvs */
2621     ierr = MPI_Comm_rank(subcomm,&subrank);CHKERRQ(ierr);
2622     ierr = MPI_Comm_size(subcomm,&subsize);CHKERRQ(ierr);
2623     ierr = PetscMalloc2(size,PetscMPIInt,&send_rank,size,PetscMPIInt,&recv_rank);CHKERRQ(ierr);
2624 
2625     np_subcomm = size/nsubcomm;
2626     nleftover  = size - nsubcomm*np_subcomm;
2627 
2628     nsends = 0; nrecvs = 0;
2629     for (i=0; i<size; i++) { /* i=rank*/
2630       if (subrank == i/nsubcomm && rank != i) { /* my_subrank == other's subrank */
2631         send_rank[nsends]   = i; nsends++;
2632         recv_rank[nrecvs++] = i;
2633       }
2634     }
2635     if (rank >= size - nleftover) { /* this proc is a leftover processor */
2636       i = size-nleftover-1;
2637       j = 0;
2638       while (j < nsubcomm - nleftover) {
2639         send_rank[nsends++] = i;
2640         i--; j++;
2641       }
2642     }
2643 
2644     if (nleftover && subsize == size/nsubcomm && subrank==subsize-1) { /* this proc recvs from leftover processors */
2645       for (i=0; i<nleftover; i++) {
2646         recv_rank[nrecvs++] = size-nleftover+i;
2647       }
2648     }
2649 
2650     /* allocate sbuf_j, sbuf_a */
2651     i    = nzlocal + rowrange[rank+1] - rowrange[rank] + 2;
2652     ierr = PetscMalloc(i*sizeof(PetscInt),&sbuf_j);CHKERRQ(ierr);
2653     ierr = PetscMalloc((nzlocal+1)*sizeof(PetscScalar),&sbuf_a);CHKERRQ(ierr);
2654   } /* endof if (reuse == MAT_INITIAL_MATRIX) */
2655 
2656   /* copy mat's local entries into the buffers */
2657   if (reuse == MAT_INITIAL_MATRIX) {
2658     rownz_max = 0;
2659     rptr      = sbuf_j;
2660     cols      = sbuf_j + rend-rstart + 1;
2661     vals      = sbuf_a;
2662     rptr[0]   = 0;
2663     for (i=0; i<rend-rstart; i++) {
2664       row    = i + rstart;
2665       nzA    = a->i[i+1] - a->i[i]; nzB = b->i[i+1] - b->i[i];
2666       ncols  = nzA + nzB;
2667       cworkA = a->j + a->i[i]; cworkB = b->j + b->i[i];
2668       aworkA = a->a + a->i[i]; aworkB = b->a + b->i[i];
2669       /* load the column indices for this row into cols */
2670       lwrite = 0;
2671       for (l=0; l<nzB; l++) {
2672         if ((ctmp = bmap[cworkB[l]]) < cstart) {
2673           vals[lwrite]   = aworkB[l];
2674           cols[lwrite++] = ctmp;
2675         }
2676       }
2677       for (l=0; l<nzA; l++) {
2678         vals[lwrite]   = aworkA[l];
2679         cols[lwrite++] = cstart + cworkA[l];
2680       }
2681       for (l=0; l<nzB; l++) {
2682         if ((ctmp = bmap[cworkB[l]]) >= cend) {
2683           vals[lwrite]   = aworkB[l];
2684           cols[lwrite++] = ctmp;
2685         }
2686       }
2687       vals     += ncols;
2688       cols     += ncols;
2689       rptr[i+1] = rptr[i] + ncols;
2690       if (rownz_max < ncols) rownz_max = ncols;
2691     }
2692     if (rptr[rend-rstart] != a->nz + b->nz) SETERRQ4(PETSC_COMM_SELF,PETSC_ERR_PLIB, "rptr[%d] %d != %d + %d",rend-rstart,rptr[rend-rstart+1],a->nz,b->nz);
2693   } else { /* only copy matrix values into sbuf_a */
2694     rptr    = sbuf_j;
2695     vals    = sbuf_a;
2696     rptr[0] = 0;
2697     for (i=0; i<rend-rstart; i++) {
2698       row    = i + rstart;
2699       nzA    = a->i[i+1] - a->i[i]; nzB = b->i[i+1] - b->i[i];
2700       ncols  = nzA + nzB;
2701       cworkB = b->j + b->i[i];
2702       aworkA = a->a + a->i[i];
2703       aworkB = b->a + b->i[i];
2704       lwrite = 0;
2705       for (l=0; l<nzB; l++) {
2706         if ((ctmp = bmap[cworkB[l]]) < cstart) vals[lwrite++] = aworkB[l];
2707       }
2708       for (l=0; l<nzA; l++) vals[lwrite++] = aworkA[l];
2709       for (l=0; l<nzB; l++) {
2710         if ((ctmp = bmap[cworkB[l]]) >= cend) vals[lwrite++] = aworkB[l];
2711       }
2712       vals     += ncols;
2713       rptr[i+1] = rptr[i] + ncols;
2714     }
2715   } /* endof if (reuse == MAT_INITIAL_MATRIX) */
2716 
2717   /* send nzlocal to others, and recv other's nzlocal */
2718   /*--------------------------------------------------*/
2719   if (reuse == MAT_INITIAL_MATRIX) {
2720     ierr = PetscMalloc2(3*(nsends + nrecvs)+1,MPI_Request,&s_waits3,nsends+1,MPI_Status,&send_status);CHKERRQ(ierr);
2721 
2722     s_waits2 = s_waits3 + nsends;
2723     s_waits1 = s_waits2 + nsends;
2724     r_waits1 = s_waits1 + nsends;
2725     r_waits2 = r_waits1 + nrecvs;
2726     r_waits3 = r_waits2 + nrecvs;
2727   } else {
2728     ierr = PetscMalloc2(nsends + nrecvs +1,MPI_Request,&s_waits3,nsends+1,MPI_Status,&send_status);CHKERRQ(ierr);
2729 
2730     r_waits3 = s_waits3 + nsends;
2731   }
2732 
2733   ierr = PetscObjectGetNewTag((PetscObject)mat,&tag3);CHKERRQ(ierr);
2734   if (reuse == MAT_INITIAL_MATRIX) {
2735     /* get new tags to keep the communication clean */
2736     ierr = PetscObjectGetNewTag((PetscObject)mat,&tag1);CHKERRQ(ierr);
2737     ierr = PetscObjectGetNewTag((PetscObject)mat,&tag2);CHKERRQ(ierr);
2738     ierr = PetscMalloc4(nsends,PetscInt,&sbuf_nz,nrecvs,PetscInt,&rbuf_nz,nrecvs,PetscInt*,&rbuf_j,nrecvs,PetscScalar*,&rbuf_a);CHKERRQ(ierr);
2739 
2740     /* post receives of other's nzlocal */
2741     for (i=0; i<nrecvs; i++) {
2742       ierr = MPI_Irecv(rbuf_nz+i,1,MPIU_INT,MPI_ANY_SOURCE,tag1,comm,r_waits1+i);CHKERRQ(ierr);
2743     }
2744     /* send nzlocal to others */
2745     for (i=0; i<nsends; i++) {
2746       sbuf_nz[i] = nzlocal;
2747       ierr       = MPI_Isend(sbuf_nz+i,1,MPIU_INT,send_rank[i],tag1,comm,s_waits1+i);CHKERRQ(ierr);
2748     }
2749     /* wait on receives of nzlocal; allocate space for rbuf_j, rbuf_a */
2750     count = nrecvs;
2751     while (count) {
2752       ierr = MPI_Waitany(nrecvs,r_waits1,&imdex,&recv_status);CHKERRQ(ierr);
2753 
2754       recv_rank[imdex] = recv_status.MPI_SOURCE;
2755       /* allocate rbuf_a and rbuf_j; then post receives of rbuf_j */
2756       ierr = PetscMalloc((rbuf_nz[imdex]+1)*sizeof(PetscScalar),&rbuf_a[imdex]);CHKERRQ(ierr);
2757 
2758       i = rowrange[recv_status.MPI_SOURCE+1] - rowrange[recv_status.MPI_SOURCE]; /* number of expected mat->i */
2759 
2760       rbuf_nz[imdex] += i + 2;
2761 
2762       ierr = PetscMalloc(rbuf_nz[imdex]*sizeof(PetscInt),&rbuf_j[imdex]);CHKERRQ(ierr);
2763       ierr = MPI_Irecv(rbuf_j[imdex],rbuf_nz[imdex],MPIU_INT,recv_status.MPI_SOURCE,tag2,comm,r_waits2+imdex);CHKERRQ(ierr);
2764       count--;
2765     }
2766     /* wait on sends of nzlocal */
2767     if (nsends) {ierr = MPI_Waitall(nsends,s_waits1,send_status);CHKERRQ(ierr);}
2768     /* send mat->i,j to others, and recv from other's */
2769     /*------------------------------------------------*/
2770     for (i=0; i<nsends; i++) {
2771       j    = nzlocal + rowrange[rank+1] - rowrange[rank] + 1;
2772       ierr = MPI_Isend(sbuf_j,j,MPIU_INT,send_rank[i],tag2,comm,s_waits2+i);CHKERRQ(ierr);
2773     }
2774     /* wait on receives of mat->i,j */
2775     /*------------------------------*/
2776     count = nrecvs;
2777     while (count) {
2778       ierr = MPI_Waitany(nrecvs,r_waits2,&imdex,&recv_status);CHKERRQ(ierr);
2779       if (recv_rank[imdex] != recv_status.MPI_SOURCE) SETERRQ2(PETSC_COMM_SELF,1, "recv_rank %d != MPI_SOURCE %d",recv_rank[imdex],recv_status.MPI_SOURCE);
2780       count--;
2781     }
2782     /* wait on sends of mat->i,j */
2783     /*---------------------------*/
2784     if (nsends) {
2785       ierr = MPI_Waitall(nsends,s_waits2,send_status);CHKERRQ(ierr);
2786     }
2787   } /* endof if (reuse == MAT_INITIAL_MATRIX) */
2788 
2789   /* post receives, send and receive mat->a */
2790   /*----------------------------------------*/
2791   for (imdex=0; imdex<nrecvs; imdex++) {
2792     ierr = MPI_Irecv(rbuf_a[imdex],rbuf_nz[imdex],MPIU_SCALAR,recv_rank[imdex],tag3,comm,r_waits3+imdex);CHKERRQ(ierr);
2793   }
2794   for (i=0; i<nsends; i++) {
2795     ierr = MPI_Isend(sbuf_a,nzlocal,MPIU_SCALAR,send_rank[i],tag3,comm,s_waits3+i);CHKERRQ(ierr);
2796   }
2797   count = nrecvs;
2798   while (count) {
2799     ierr = MPI_Waitany(nrecvs,r_waits3,&imdex,&recv_status);CHKERRQ(ierr);
2800     if (recv_rank[imdex] != recv_status.MPI_SOURCE) SETERRQ2(PETSC_COMM_SELF,1, "recv_rank %d != MPI_SOURCE %d",recv_rank[imdex],recv_status.MPI_SOURCE);
2801     count--;
2802   }
2803   if (nsends) {
2804     ierr = MPI_Waitall(nsends,s_waits3,send_status);CHKERRQ(ierr);
2805   }
2806 
2807   ierr = PetscFree2(s_waits3,send_status);CHKERRQ(ierr);
2808 
2809   /* create redundant matrix */
2810   /*-------------------------*/
2811   if (reuse == MAT_INITIAL_MATRIX) {
2812     /* compute rownz_max for preallocation */
2813     for (imdex=0; imdex<nrecvs; imdex++) {
2814       j    = rowrange[recv_rank[imdex]+1] - rowrange[recv_rank[imdex]];
2815       rptr = rbuf_j[imdex];
2816       for (i=0; i<j; i++) {
2817         ncols = rptr[i+1] - rptr[i];
2818         if (rownz_max < ncols) rownz_max = ncols;
2819       }
2820     }
2821 
2822     ierr = MatCreate(subcomm,&C);CHKERRQ(ierr);
2823     ierr = MatSetSizes(C,mlocal_sub,mlocal_sub,PETSC_DECIDE,PETSC_DECIDE);CHKERRQ(ierr);
2824     ierr = MatSetBlockSizes(C,mat->rmap->bs,mat->cmap->bs);CHKERRQ(ierr);
2825     ierr = MatSetFromOptions(C);CHKERRQ(ierr);
2826     ierr = MatSeqAIJSetPreallocation(C,rownz_max,NULL);CHKERRQ(ierr);
2827     ierr = MatMPIAIJSetPreallocation(C,rownz_max,NULL,rownz_max,NULL);CHKERRQ(ierr);
2828   } else {
2829     C = *matredundant;
2830   }
2831 
2832   /* insert local matrix entries */
2833   rptr = sbuf_j;
2834   cols = sbuf_j + rend-rstart + 1;
2835   vals = sbuf_a;
2836   for (i=0; i<rend-rstart; i++) {
2837     row   = i + rstart;
2838     ncols = rptr[i+1] - rptr[i];
2839     ierr  = MatSetValues(C,1,&row,ncols,cols,vals,INSERT_VALUES);CHKERRQ(ierr);
2840     vals += ncols;
2841     cols += ncols;
2842   }
2843   /* insert received matrix entries */
2844   for (imdex=0; imdex<nrecvs; imdex++) {
2845     rstart = rowrange[recv_rank[imdex]];
2846     rend   = rowrange[recv_rank[imdex]+1];
2847     rptr   = rbuf_j[imdex];
2848     cols   = rbuf_j[imdex] + rend-rstart + 1;
2849     vals   = rbuf_a[imdex];
2850     for (i=0; i<rend-rstart; i++) {
2851       row   = i + rstart;
2852       ncols = rptr[i+1] - rptr[i];
2853       ierr  = MatSetValues(C,1,&row,ncols,cols,vals,INSERT_VALUES);CHKERRQ(ierr);
2854       vals += ncols;
2855       cols += ncols;
2856     }
2857   }
2858   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2859   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2860   ierr = MatGetSize(C,&M,&N);CHKERRQ(ierr);
2861   if (M != mat->rmap->N || N != mat->cmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"redundant mat size %d != input mat size %d",M,mat->rmap->N);
2862   if (reuse == MAT_INITIAL_MATRIX) {
2863     PetscContainer container;
2864     *matredundant = C;
2865     /* create a supporting struct and attach it to C for reuse */
2866     ierr = PetscNewLog(C,Mat_Redundant,&redund);CHKERRQ(ierr);
2867     ierr = PetscContainerCreate(PETSC_COMM_SELF,&container);CHKERRQ(ierr);
2868     ierr = PetscContainerSetPointer(container,redund);CHKERRQ(ierr);
2869     ierr = PetscContainerSetUserDestroy(container,PetscContainerDestroy_MatRedundant);CHKERRQ(ierr);
2870     ierr = PetscObjectCompose((PetscObject)C,"Mat_Redundant",(PetscObject)container);CHKERRQ(ierr);
2871     ierr = PetscContainerDestroy(&container);CHKERRQ(ierr);
2872 
2873     redund->nzlocal   = nzlocal;
2874     redund->nsends    = nsends;
2875     redund->nrecvs    = nrecvs;
2876     redund->send_rank = send_rank;
2877     redund->recv_rank = recv_rank;
2878     redund->sbuf_nz   = sbuf_nz;
2879     redund->rbuf_nz   = rbuf_nz;
2880     redund->sbuf_j    = sbuf_j;
2881     redund->sbuf_a    = sbuf_a;
2882     redund->rbuf_j    = rbuf_j;
2883     redund->rbuf_a    = rbuf_a;
2884 
2885     redund->Destroy = C->ops->destroy;
2886     C->ops->destroy = MatDestroy_MatRedundant;
2887   }
2888   PetscFunctionReturn(0);
2889 }
2890 
2891 #undef __FUNCT__
2892 #define __FUNCT__ "MatGetRowMaxAbs_MPIAIJ"
2893 PetscErrorCode MatGetRowMaxAbs_MPIAIJ(Mat A, Vec v, PetscInt idx[])
2894 {
2895   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
2896   PetscErrorCode ierr;
2897   PetscInt       i,*idxb = 0;
2898   PetscScalar    *va,*vb;
2899   Vec            vtmp;
2900 
2901   PetscFunctionBegin;
2902   ierr = MatGetRowMaxAbs(a->A,v,idx);CHKERRQ(ierr);
2903   ierr = VecGetArray(v,&va);CHKERRQ(ierr);
2904   if (idx) {
2905     for (i=0; i<A->rmap->n; i++) {
2906       if (PetscAbsScalar(va[i])) idx[i] += A->cmap->rstart;
2907     }
2908   }
2909 
2910   ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->n,&vtmp);CHKERRQ(ierr);
2911   if (idx) {
2912     ierr = PetscMalloc(A->rmap->n*sizeof(PetscInt),&idxb);CHKERRQ(ierr);
2913   }
2914   ierr = MatGetRowMaxAbs(a->B,vtmp,idxb);CHKERRQ(ierr);
2915   ierr = VecGetArray(vtmp,&vb);CHKERRQ(ierr);
2916 
2917   for (i=0; i<A->rmap->n; i++) {
2918     if (PetscAbsScalar(va[i]) < PetscAbsScalar(vb[i])) {
2919       va[i] = vb[i];
2920       if (idx) idx[i] = a->garray[idxb[i]];
2921     }
2922   }
2923 
2924   ierr = VecRestoreArray(v,&va);CHKERRQ(ierr);
2925   ierr = VecRestoreArray(vtmp,&vb);CHKERRQ(ierr);
2926   ierr = PetscFree(idxb);CHKERRQ(ierr);
2927   ierr = VecDestroy(&vtmp);CHKERRQ(ierr);
2928   PetscFunctionReturn(0);
2929 }
2930 
2931 #undef __FUNCT__
2932 #define __FUNCT__ "MatGetRowMinAbs_MPIAIJ"
2933 PetscErrorCode MatGetRowMinAbs_MPIAIJ(Mat A, Vec v, PetscInt idx[])
2934 {
2935   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
2936   PetscErrorCode ierr;
2937   PetscInt       i,*idxb = 0;
2938   PetscScalar    *va,*vb;
2939   Vec            vtmp;
2940 
2941   PetscFunctionBegin;
2942   ierr = MatGetRowMinAbs(a->A,v,idx);CHKERRQ(ierr);
2943   ierr = VecGetArray(v,&va);CHKERRQ(ierr);
2944   if (idx) {
2945     for (i=0; i<A->cmap->n; i++) {
2946       if (PetscAbsScalar(va[i])) idx[i] += A->cmap->rstart;
2947     }
2948   }
2949 
2950   ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->n,&vtmp);CHKERRQ(ierr);
2951   if (idx) {
2952     ierr = PetscMalloc(A->rmap->n*sizeof(PetscInt),&idxb);CHKERRQ(ierr);
2953   }
2954   ierr = MatGetRowMinAbs(a->B,vtmp,idxb);CHKERRQ(ierr);
2955   ierr = VecGetArray(vtmp,&vb);CHKERRQ(ierr);
2956 
2957   for (i=0; i<A->rmap->n; i++) {
2958     if (PetscAbsScalar(va[i]) > PetscAbsScalar(vb[i])) {
2959       va[i] = vb[i];
2960       if (idx) idx[i] = a->garray[idxb[i]];
2961     }
2962   }
2963 
2964   ierr = VecRestoreArray(v,&va);CHKERRQ(ierr);
2965   ierr = VecRestoreArray(vtmp,&vb);CHKERRQ(ierr);
2966   ierr = PetscFree(idxb);CHKERRQ(ierr);
2967   ierr = VecDestroy(&vtmp);CHKERRQ(ierr);
2968   PetscFunctionReturn(0);
2969 }
2970 
2971 #undef __FUNCT__
2972 #define __FUNCT__ "MatGetRowMin_MPIAIJ"
2973 PetscErrorCode MatGetRowMin_MPIAIJ(Mat A, Vec v, PetscInt idx[])
2974 {
2975   Mat_MPIAIJ     *mat   = (Mat_MPIAIJ*) A->data;
2976   PetscInt       n      = A->rmap->n;
2977   PetscInt       cstart = A->cmap->rstart;
2978   PetscInt       *cmap  = mat->garray;
2979   PetscInt       *diagIdx, *offdiagIdx;
2980   Vec            diagV, offdiagV;
2981   PetscScalar    *a, *diagA, *offdiagA;
2982   PetscInt       r;
2983   PetscErrorCode ierr;
2984 
2985   PetscFunctionBegin;
2986   ierr = PetscMalloc2(n,PetscInt,&diagIdx,n,PetscInt,&offdiagIdx);CHKERRQ(ierr);
2987   ierr = VecCreateSeq(PetscObjectComm((PetscObject)A), n, &diagV);CHKERRQ(ierr);
2988   ierr = VecCreateSeq(PetscObjectComm((PetscObject)A), n, &offdiagV);CHKERRQ(ierr);
2989   ierr = MatGetRowMin(mat->A, diagV,    diagIdx);CHKERRQ(ierr);
2990   ierr = MatGetRowMin(mat->B, offdiagV, offdiagIdx);CHKERRQ(ierr);
2991   ierr = VecGetArray(v,        &a);CHKERRQ(ierr);
2992   ierr = VecGetArray(diagV,    &diagA);CHKERRQ(ierr);
2993   ierr = VecGetArray(offdiagV, &offdiagA);CHKERRQ(ierr);
2994   for (r = 0; r < n; ++r) {
2995     if (PetscAbsScalar(diagA[r]) <= PetscAbsScalar(offdiagA[r])) {
2996       a[r]   = diagA[r];
2997       idx[r] = cstart + diagIdx[r];
2998     } else {
2999       a[r]   = offdiagA[r];
3000       idx[r] = cmap[offdiagIdx[r]];
3001     }
3002   }
3003   ierr = VecRestoreArray(v,        &a);CHKERRQ(ierr);
3004   ierr = VecRestoreArray(diagV,    &diagA);CHKERRQ(ierr);
3005   ierr = VecRestoreArray(offdiagV, &offdiagA);CHKERRQ(ierr);
3006   ierr = VecDestroy(&diagV);CHKERRQ(ierr);
3007   ierr = VecDestroy(&offdiagV);CHKERRQ(ierr);
3008   ierr = PetscFree2(diagIdx, offdiagIdx);CHKERRQ(ierr);
3009   PetscFunctionReturn(0);
3010 }
3011 
3012 #undef __FUNCT__
3013 #define __FUNCT__ "MatGetRowMax_MPIAIJ"
3014 PetscErrorCode MatGetRowMax_MPIAIJ(Mat A, Vec v, PetscInt idx[])
3015 {
3016   Mat_MPIAIJ     *mat   = (Mat_MPIAIJ*) A->data;
3017   PetscInt       n      = A->rmap->n;
3018   PetscInt       cstart = A->cmap->rstart;
3019   PetscInt       *cmap  = mat->garray;
3020   PetscInt       *diagIdx, *offdiagIdx;
3021   Vec            diagV, offdiagV;
3022   PetscScalar    *a, *diagA, *offdiagA;
3023   PetscInt       r;
3024   PetscErrorCode ierr;
3025 
3026   PetscFunctionBegin;
3027   ierr = PetscMalloc2(n,PetscInt,&diagIdx,n,PetscInt,&offdiagIdx);CHKERRQ(ierr);
3028   ierr = VecCreateSeq(PETSC_COMM_SELF, n, &diagV);CHKERRQ(ierr);
3029   ierr = VecCreateSeq(PETSC_COMM_SELF, n, &offdiagV);CHKERRQ(ierr);
3030   ierr = MatGetRowMax(mat->A, diagV,    diagIdx);CHKERRQ(ierr);
3031   ierr = MatGetRowMax(mat->B, offdiagV, offdiagIdx);CHKERRQ(ierr);
3032   ierr = VecGetArray(v,        &a);CHKERRQ(ierr);
3033   ierr = VecGetArray(diagV,    &diagA);CHKERRQ(ierr);
3034   ierr = VecGetArray(offdiagV, &offdiagA);CHKERRQ(ierr);
3035   for (r = 0; r < n; ++r) {
3036     if (PetscAbsScalar(diagA[r]) >= PetscAbsScalar(offdiagA[r])) {
3037       a[r]   = diagA[r];
3038       idx[r] = cstart + diagIdx[r];
3039     } else {
3040       a[r]   = offdiagA[r];
3041       idx[r] = cmap[offdiagIdx[r]];
3042     }
3043   }
3044   ierr = VecRestoreArray(v,        &a);CHKERRQ(ierr);
3045   ierr = VecRestoreArray(diagV,    &diagA);CHKERRQ(ierr);
3046   ierr = VecRestoreArray(offdiagV, &offdiagA);CHKERRQ(ierr);
3047   ierr = VecDestroy(&diagV);CHKERRQ(ierr);
3048   ierr = VecDestroy(&offdiagV);CHKERRQ(ierr);
3049   ierr = PetscFree2(diagIdx, offdiagIdx);CHKERRQ(ierr);
3050   PetscFunctionReturn(0);
3051 }
3052 
3053 #undef __FUNCT__
3054 #define __FUNCT__ "MatGetSeqNonzeroStructure_MPIAIJ"
3055 PetscErrorCode MatGetSeqNonzeroStructure_MPIAIJ(Mat mat,Mat *newmat)
3056 {
3057   PetscErrorCode ierr;
3058   Mat            *dummy;
3059 
3060   PetscFunctionBegin;
3061   ierr    = MatGetSubMatrix_MPIAIJ_All(mat,MAT_DO_NOT_GET_VALUES,MAT_INITIAL_MATRIX,&dummy);CHKERRQ(ierr);
3062   *newmat = *dummy;
3063   ierr    = PetscFree(dummy);CHKERRQ(ierr);
3064   PetscFunctionReturn(0);
3065 }
3066 
3067 extern PetscErrorCode  MatFDColoringApply_AIJ(Mat,MatFDColoring,Vec,MatStructure*,void*);
3068 
3069 #undef __FUNCT__
3070 #define __FUNCT__ "MatInvertBlockDiagonal_MPIAIJ"
3071 PetscErrorCode  MatInvertBlockDiagonal_MPIAIJ(Mat A,const PetscScalar **values)
3072 {
3073   Mat_MPIAIJ     *a = (Mat_MPIAIJ*) A->data;
3074   PetscErrorCode ierr;
3075 
3076   PetscFunctionBegin;
3077   ierr = MatInvertBlockDiagonal(a->A,values);CHKERRQ(ierr);
3078   PetscFunctionReturn(0);
3079 }
3080 
3081 #undef __FUNCT__
3082 #define __FUNCT__ "MatSetRandom_MPIAIJ"
3083 static PetscErrorCode  MatSetRandom_MPIAIJ(Mat x,PetscRandom rctx)
3084 {
3085   PetscErrorCode ierr;
3086   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)x->data;
3087 
3088   PetscFunctionBegin;
3089   ierr = MatSetRandom(aij->A,rctx);CHKERRQ(ierr);
3090   ierr = MatSetRandom(aij->B,rctx);CHKERRQ(ierr);
3091   ierr = MatAssemblyBegin(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3092   ierr = MatAssemblyEnd(x,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3093   PetscFunctionReturn(0);
3094 }
3095 
3096 /* -------------------------------------------------------------------*/
3097 static struct _MatOps MatOps_Values = {MatSetValues_MPIAIJ,
3098                                        MatGetRow_MPIAIJ,
3099                                        MatRestoreRow_MPIAIJ,
3100                                        MatMult_MPIAIJ,
3101                                 /* 4*/ MatMultAdd_MPIAIJ,
3102                                        MatMultTranspose_MPIAIJ,
3103                                        MatMultTransposeAdd_MPIAIJ,
3104 #if defined(PETSC_HAVE_PBGL)
3105                                        MatSolve_MPIAIJ,
3106 #else
3107                                        0,
3108 #endif
3109                                        0,
3110                                        0,
3111                                 /*10*/ 0,
3112                                        0,
3113                                        0,
3114                                        MatSOR_MPIAIJ,
3115                                        MatTranspose_MPIAIJ,
3116                                 /*15*/ MatGetInfo_MPIAIJ,
3117                                        MatEqual_MPIAIJ,
3118                                        MatGetDiagonal_MPIAIJ,
3119                                        MatDiagonalScale_MPIAIJ,
3120                                        MatNorm_MPIAIJ,
3121                                 /*20*/ MatAssemblyBegin_MPIAIJ,
3122                                        MatAssemblyEnd_MPIAIJ,
3123                                        MatSetOption_MPIAIJ,
3124                                        MatZeroEntries_MPIAIJ,
3125                                 /*24*/ MatZeroRows_MPIAIJ,
3126                                        0,
3127 #if defined(PETSC_HAVE_PBGL)
3128                                        0,
3129 #else
3130                                        0,
3131 #endif
3132                                        0,
3133                                        0,
3134                                 /*29*/ MatSetUp_MPIAIJ,
3135 #if defined(PETSC_HAVE_PBGL)
3136                                        0,
3137 #else
3138                                        0,
3139 #endif
3140                                        0,
3141                                        0,
3142                                        0,
3143                                 /*34*/ MatDuplicate_MPIAIJ,
3144                                        0,
3145                                        0,
3146                                        0,
3147                                        0,
3148                                 /*39*/ MatAXPY_MPIAIJ,
3149                                        MatGetSubMatrices_MPIAIJ,
3150                                        MatIncreaseOverlap_MPIAIJ,
3151                                        MatGetValues_MPIAIJ,
3152                                        MatCopy_MPIAIJ,
3153                                 /*44*/ MatGetRowMax_MPIAIJ,
3154                                        MatScale_MPIAIJ,
3155                                        0,
3156                                        0,
3157                                        MatZeroRowsColumns_MPIAIJ,
3158                                 /*49*/ MatSetRandom_MPIAIJ,
3159                                        0,
3160                                        0,
3161                                        0,
3162                                        0,
3163                                 /*54*/ MatFDColoringCreate_MPIAIJ,
3164                                        0,
3165                                        MatSetUnfactored_MPIAIJ,
3166                                        MatPermute_MPIAIJ,
3167                                        0,
3168                                 /*59*/ MatGetSubMatrix_MPIAIJ,
3169                                        MatDestroy_MPIAIJ,
3170                                        MatView_MPIAIJ,
3171                                        0,
3172                                        MatMatMatMult_MPIAIJ_MPIAIJ_MPIAIJ,
3173                                 /*64*/ MatMatMatMultSymbolic_MPIAIJ_MPIAIJ_MPIAIJ,
3174                                        MatMatMatMultNumeric_MPIAIJ_MPIAIJ_MPIAIJ,
3175                                        0,
3176                                        0,
3177                                        0,
3178                                 /*69*/ MatGetRowMaxAbs_MPIAIJ,
3179                                        MatGetRowMinAbs_MPIAIJ,
3180                                        0,
3181                                        MatSetColoring_MPIAIJ,
3182                                        0,
3183                                        MatSetValuesAdifor_MPIAIJ,
3184                                 /*75*/ MatFDColoringApply_AIJ,
3185                                        0,
3186                                        0,
3187                                        0,
3188                                        MatFindZeroDiagonals_MPIAIJ,
3189                                 /*80*/ 0,
3190                                        0,
3191                                        0,
3192                                 /*83*/ MatLoad_MPIAIJ,
3193                                        0,
3194                                        0,
3195                                        0,
3196                                        0,
3197                                        0,
3198                                 /*89*/ MatMatMult_MPIAIJ_MPIAIJ,
3199                                        MatMatMultSymbolic_MPIAIJ_MPIAIJ,
3200                                        MatMatMultNumeric_MPIAIJ_MPIAIJ,
3201                                        MatPtAP_MPIAIJ_MPIAIJ,
3202                                        MatPtAPSymbolic_MPIAIJ_MPIAIJ,
3203                                 /*94*/ MatPtAPNumeric_MPIAIJ_MPIAIJ,
3204                                        0,
3205                                        0,
3206                                        0,
3207                                        0,
3208                                 /*99*/ 0,
3209                                        0,
3210                                        0,
3211                                        MatConjugate_MPIAIJ,
3212                                        0,
3213                                 /*104*/MatSetValuesRow_MPIAIJ,
3214                                        MatRealPart_MPIAIJ,
3215                                        MatImaginaryPart_MPIAIJ,
3216                                        0,
3217                                        0,
3218                                 /*109*/0,
3219                                        MatGetRedundantMatrix_MPIAIJ,
3220                                        MatGetRowMin_MPIAIJ,
3221                                        0,
3222                                        0,
3223                                 /*114*/MatGetSeqNonzeroStructure_MPIAIJ,
3224                                        0,
3225                                        0,
3226                                        0,
3227                                        0,
3228                                 /*119*/0,
3229                                        0,
3230                                        0,
3231                                        0,
3232                                        MatGetMultiProcBlock_MPIAIJ,
3233                                 /*124*/MatFindNonzeroRows_MPIAIJ,
3234                                        MatGetColumnNorms_MPIAIJ,
3235                                        MatInvertBlockDiagonal_MPIAIJ,
3236                                        0,
3237                                        MatGetSubMatricesParallel_MPIAIJ,
3238                                 /*129*/0,
3239                                        MatTransposeMatMult_MPIAIJ_MPIAIJ,
3240                                        MatTransposeMatMultSymbolic_MPIAIJ_MPIAIJ,
3241                                        MatTransposeMatMultNumeric_MPIAIJ_MPIAIJ,
3242                                        0,
3243                                 /*134*/0,
3244                                        0,
3245                                        0,
3246                                        0,
3247                                        0,
3248                                 /*139*/0,
3249                                        0
3250 };
3251 
3252 /* ----------------------------------------------------------------------------------------*/
3253 
3254 #undef __FUNCT__
3255 #define __FUNCT__ "MatStoreValues_MPIAIJ"
3256 PetscErrorCode  MatStoreValues_MPIAIJ(Mat mat)
3257 {
3258   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)mat->data;
3259   PetscErrorCode ierr;
3260 
3261   PetscFunctionBegin;
3262   ierr = MatStoreValues(aij->A);CHKERRQ(ierr);
3263   ierr = MatStoreValues(aij->B);CHKERRQ(ierr);
3264   PetscFunctionReturn(0);
3265 }
3266 
3267 #undef __FUNCT__
3268 #define __FUNCT__ "MatRetrieveValues_MPIAIJ"
3269 PetscErrorCode  MatRetrieveValues_MPIAIJ(Mat mat)
3270 {
3271   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)mat->data;
3272   PetscErrorCode ierr;
3273 
3274   PetscFunctionBegin;
3275   ierr = MatRetrieveValues(aij->A);CHKERRQ(ierr);
3276   ierr = MatRetrieveValues(aij->B);CHKERRQ(ierr);
3277   PetscFunctionReturn(0);
3278 }
3279 
3280 #undef __FUNCT__
3281 #define __FUNCT__ "MatMPIAIJSetPreallocation_MPIAIJ"
3282 PetscErrorCode  MatMPIAIJSetPreallocation_MPIAIJ(Mat B,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
3283 {
3284   Mat_MPIAIJ     *b;
3285   PetscErrorCode ierr;
3286   PetscInt       i;
3287   PetscBool      d_realalloc = PETSC_FALSE,o_realalloc = PETSC_FALSE;
3288 
3289   PetscFunctionBegin;
3290   if (d_nz >= 0 || d_nnz) d_realalloc = PETSC_TRUE;
3291   if (o_nz >= 0 || o_nnz) o_realalloc = PETSC_TRUE;
3292   if (d_nz == PETSC_DEFAULT || d_nz == PETSC_DECIDE) d_nz = 5;
3293   if (o_nz == PETSC_DEFAULT || o_nz == PETSC_DECIDE) o_nz = 2;
3294   if (d_nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"d_nz cannot be less than 0: value %D",d_nz);
3295   if (o_nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"o_nz cannot be less than 0: value %D",o_nz);
3296 
3297   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3298   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3299   if (d_nnz) {
3300     for (i=0; i<B->rmap->n; i++) {
3301       if (d_nnz[i] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"d_nnz cannot be less than 0: local row %D value %D",i,d_nnz[i]);
3302     }
3303   }
3304   if (o_nnz) {
3305     for (i=0; i<B->rmap->n; i++) {
3306       if (o_nnz[i] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"o_nnz cannot be less than 0: local row %D value %D",i,o_nnz[i]);
3307     }
3308   }
3309   b = (Mat_MPIAIJ*)B->data;
3310 
3311   if (!B->preallocated) {
3312     /* Explicitly create 2 MATSEQAIJ matrices. */
3313     ierr = MatCreate(PETSC_COMM_SELF,&b->A);CHKERRQ(ierr);
3314     ierr = MatSetSizes(b->A,B->rmap->n,B->cmap->n,B->rmap->n,B->cmap->n);CHKERRQ(ierr);
3315     ierr = MatSetBlockSizes(b->A,B->rmap->bs,B->cmap->bs);CHKERRQ(ierr);
3316     ierr = MatSetType(b->A,MATSEQAIJ);CHKERRQ(ierr);
3317     ierr = PetscLogObjectParent(B,b->A);CHKERRQ(ierr);
3318     ierr = MatCreate(PETSC_COMM_SELF,&b->B);CHKERRQ(ierr);
3319     ierr = MatSetSizes(b->B,B->rmap->n,B->cmap->N,B->rmap->n,B->cmap->N);CHKERRQ(ierr);
3320     ierr = MatSetBlockSizes(b->B,B->rmap->bs,B->cmap->bs);CHKERRQ(ierr);
3321     ierr = MatSetType(b->B,MATSEQAIJ);CHKERRQ(ierr);
3322     ierr = PetscLogObjectParent(B,b->B);CHKERRQ(ierr);
3323   }
3324 
3325   ierr = MatSeqAIJSetPreallocation(b->A,d_nz,d_nnz);CHKERRQ(ierr);
3326   ierr = MatSeqAIJSetPreallocation(b->B,o_nz,o_nnz);CHKERRQ(ierr);
3327   /* Do not error if the user did not give real preallocation information. Ugly because this would overwrite a previous user call to MatSetOption(). */
3328   if (!d_realalloc) {ierr = MatSetOption(b->A,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);}
3329   if (!o_realalloc) {ierr = MatSetOption(b->B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);}
3330   B->preallocated = PETSC_TRUE;
3331   PetscFunctionReturn(0);
3332 }
3333 
3334 #undef __FUNCT__
3335 #define __FUNCT__ "MatDuplicate_MPIAIJ"
3336 PetscErrorCode MatDuplicate_MPIAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
3337 {
3338   Mat            mat;
3339   Mat_MPIAIJ     *a,*oldmat = (Mat_MPIAIJ*)matin->data;
3340   PetscErrorCode ierr;
3341 
3342   PetscFunctionBegin;
3343   *newmat = 0;
3344   ierr    = MatCreate(PetscObjectComm((PetscObject)matin),&mat);CHKERRQ(ierr);
3345   ierr    = MatSetSizes(mat,matin->rmap->n,matin->cmap->n,matin->rmap->N,matin->cmap->N);CHKERRQ(ierr);
3346   ierr    = MatSetBlockSizes(mat,matin->rmap->bs,matin->cmap->bs);CHKERRQ(ierr);
3347   ierr    = MatSetType(mat,((PetscObject)matin)->type_name);CHKERRQ(ierr);
3348   ierr    = PetscMemcpy(mat->ops,matin->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
3349   a       = (Mat_MPIAIJ*)mat->data;
3350 
3351   mat->factortype   = matin->factortype;
3352   mat->rmap->bs     = matin->rmap->bs;
3353   mat->cmap->bs     = matin->cmap->bs;
3354   mat->assembled    = PETSC_TRUE;
3355   mat->insertmode   = NOT_SET_VALUES;
3356   mat->preallocated = PETSC_TRUE;
3357 
3358   a->size         = oldmat->size;
3359   a->rank         = oldmat->rank;
3360   a->donotstash   = oldmat->donotstash;
3361   a->roworiented  = oldmat->roworiented;
3362   a->rowindices   = 0;
3363   a->rowvalues    = 0;
3364   a->getrowactive = PETSC_FALSE;
3365 
3366   ierr = PetscLayoutReference(matin->rmap,&mat->rmap);CHKERRQ(ierr);
3367   ierr = PetscLayoutReference(matin->cmap,&mat->cmap);CHKERRQ(ierr);
3368 
3369   if (oldmat->colmap) {
3370 #if defined(PETSC_USE_CTABLE)
3371     ierr = PetscTableCreateCopy(oldmat->colmap,&a->colmap);CHKERRQ(ierr);
3372 #else
3373     ierr = PetscMalloc((mat->cmap->N)*sizeof(PetscInt),&a->colmap);CHKERRQ(ierr);
3374     ierr = PetscLogObjectMemory(mat,(mat->cmap->N)*sizeof(PetscInt));CHKERRQ(ierr);
3375     ierr = PetscMemcpy(a->colmap,oldmat->colmap,(mat->cmap->N)*sizeof(PetscInt));CHKERRQ(ierr);
3376 #endif
3377   } else a->colmap = 0;
3378   if (oldmat->garray) {
3379     PetscInt len;
3380     len  = oldmat->B->cmap->n;
3381     ierr = PetscMalloc((len+1)*sizeof(PetscInt),&a->garray);CHKERRQ(ierr);
3382     ierr = PetscLogObjectMemory(mat,len*sizeof(PetscInt));CHKERRQ(ierr);
3383     if (len) { ierr = PetscMemcpy(a->garray,oldmat->garray,len*sizeof(PetscInt));CHKERRQ(ierr); }
3384   } else a->garray = 0;
3385 
3386   ierr    = VecDuplicate(oldmat->lvec,&a->lvec);CHKERRQ(ierr);
3387   ierr    = PetscLogObjectParent(mat,a->lvec);CHKERRQ(ierr);
3388   ierr    = VecScatterCopy(oldmat->Mvctx,&a->Mvctx);CHKERRQ(ierr);
3389   ierr    = PetscLogObjectParent(mat,a->Mvctx);CHKERRQ(ierr);
3390   ierr    = MatDuplicate(oldmat->A,cpvalues,&a->A);CHKERRQ(ierr);
3391   ierr    = PetscLogObjectParent(mat,a->A);CHKERRQ(ierr);
3392   ierr    = MatDuplicate(oldmat->B,cpvalues,&a->B);CHKERRQ(ierr);
3393   ierr    = PetscLogObjectParent(mat,a->B);CHKERRQ(ierr);
3394   ierr    = PetscFunctionListDuplicate(((PetscObject)matin)->qlist,&((PetscObject)mat)->qlist);CHKERRQ(ierr);
3395   *newmat = mat;
3396   PetscFunctionReturn(0);
3397 }
3398 
3399 
3400 
3401 #undef __FUNCT__
3402 #define __FUNCT__ "MatLoad_MPIAIJ"
3403 PetscErrorCode MatLoad_MPIAIJ(Mat newMat, PetscViewer viewer)
3404 {
3405   PetscScalar    *vals,*svals;
3406   MPI_Comm       comm;
3407   PetscErrorCode ierr;
3408   PetscMPIInt    rank,size,tag = ((PetscObject)viewer)->tag;
3409   PetscInt       i,nz,j,rstart,rend,mmax,maxnz = 0,grows,gcols;
3410   PetscInt       header[4],*rowlengths = 0,M,N,m,*cols;
3411   PetscInt       *ourlens = NULL,*procsnz = NULL,*offlens = NULL,jj,*mycols,*smycols;
3412   PetscInt       cend,cstart,n,*rowners,sizesset=1;
3413   int            fd;
3414   PetscInt       bs = 1;
3415 
3416   PetscFunctionBegin;
3417   ierr = PetscObjectGetComm((PetscObject)viewer,&comm);CHKERRQ(ierr);
3418   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3419   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
3420   if (!rank) {
3421     ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
3422     ierr = PetscBinaryRead(fd,(char*)header,4,PETSC_INT);CHKERRQ(ierr);
3423     if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
3424   }
3425 
3426   ierr = PetscOptionsBegin(comm,NULL,"Options for loading SEQAIJ matrix","Mat");CHKERRQ(ierr);
3427   ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);CHKERRQ(ierr);
3428   ierr = PetscOptionsEnd();CHKERRQ(ierr);
3429 
3430   if (newMat->rmap->n < 0 && newMat->rmap->N < 0 && newMat->cmap->n < 0 && newMat->cmap->N < 0) sizesset = 0;
3431 
3432   ierr = MPI_Bcast(header+1,3,MPIU_INT,0,comm);CHKERRQ(ierr);
3433   M    = header[1]; N = header[2];
3434   /* If global rows/cols are set to PETSC_DECIDE, set it to the sizes given in the file */
3435   if (sizesset && newMat->rmap->N < 0) newMat->rmap->N = M;
3436   if (sizesset && newMat->cmap->N < 0) newMat->cmap->N = N;
3437 
3438   /* If global sizes are set, check if they are consistent with that given in the file */
3439   if (sizesset) {
3440     ierr = MatGetSize(newMat,&grows,&gcols);CHKERRQ(ierr);
3441   }
3442   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);
3443   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);
3444 
3445   /* determine ownership of all (block) rows */
3446   if (M%bs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED, "Inconsistent # of rows (%d) and block size (%d)",M,bs);
3447   if (newMat->rmap->n < 0) m = bs*((M/bs)/size + (((M/bs) % size) > rank));    /* PETSC_DECIDE */
3448   else m = newMat->rmap->n; /* Set by user */
3449 
3450   ierr = PetscMalloc((size+1)*sizeof(PetscInt),&rowners);CHKERRQ(ierr);
3451   ierr = MPI_Allgather(&m,1,MPIU_INT,rowners+1,1,MPIU_INT,comm);CHKERRQ(ierr);
3452 
3453   /* First process needs enough room for process with most rows */
3454   if (!rank) {
3455     mmax = rowners[1];
3456     for (i=2; i<=size; i++) {
3457       mmax = PetscMax(mmax, rowners[i]);
3458     }
3459   } else mmax = -1;             /* unused, but compilers complain */
3460 
3461   rowners[0] = 0;
3462   for (i=2; i<=size; i++) {
3463     rowners[i] += rowners[i-1];
3464   }
3465   rstart = rowners[rank];
3466   rend   = rowners[rank+1];
3467 
3468   /* distribute row lengths to all processors */
3469   ierr = PetscMalloc2(m,PetscInt,&ourlens,m,PetscInt,&offlens);CHKERRQ(ierr);
3470   if (!rank) {
3471     ierr = PetscBinaryRead(fd,ourlens,m,PETSC_INT);CHKERRQ(ierr);
3472     ierr = PetscMalloc(mmax*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
3473     ierr = PetscMalloc(size*sizeof(PetscInt),&procsnz);CHKERRQ(ierr);
3474     ierr = PetscMemzero(procsnz,size*sizeof(PetscInt));CHKERRQ(ierr);
3475     for (j=0; j<m; j++) {
3476       procsnz[0] += ourlens[j];
3477     }
3478     for (i=1; i<size; i++) {
3479       ierr = PetscBinaryRead(fd,rowlengths,rowners[i+1]-rowners[i],PETSC_INT);CHKERRQ(ierr);
3480       /* calculate the number of nonzeros on each processor */
3481       for (j=0; j<rowners[i+1]-rowners[i]; j++) {
3482         procsnz[i] += rowlengths[j];
3483       }
3484       ierr = MPIULong_Send(rowlengths,rowners[i+1]-rowners[i],MPIU_INT,i,tag,comm);CHKERRQ(ierr);
3485     }
3486     ierr = PetscFree(rowlengths);CHKERRQ(ierr);
3487   } else {
3488     ierr = MPIULong_Recv(ourlens,m,MPIU_INT,0,tag,comm);CHKERRQ(ierr);
3489   }
3490 
3491   if (!rank) {
3492     /* determine max buffer needed and allocate it */
3493     maxnz = 0;
3494     for (i=0; i<size; i++) {
3495       maxnz = PetscMax(maxnz,procsnz[i]);
3496     }
3497     ierr = PetscMalloc(maxnz*sizeof(PetscInt),&cols);CHKERRQ(ierr);
3498 
3499     /* read in my part of the matrix column indices  */
3500     nz   = procsnz[0];
3501     ierr = PetscMalloc(nz*sizeof(PetscInt),&mycols);CHKERRQ(ierr);
3502     ierr = PetscBinaryRead(fd,mycols,nz,PETSC_INT);CHKERRQ(ierr);
3503 
3504     /* read in every one elses and ship off */
3505     for (i=1; i<size; i++) {
3506       nz   = procsnz[i];
3507       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
3508       ierr = MPIULong_Send(cols,nz,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
3509     }
3510     ierr = PetscFree(cols);CHKERRQ(ierr);
3511   } else {
3512     /* determine buffer space needed for message */
3513     nz = 0;
3514     for (i=0; i<m; i++) {
3515       nz += ourlens[i];
3516     }
3517     ierr = PetscMalloc(nz*sizeof(PetscInt),&mycols);CHKERRQ(ierr);
3518 
3519     /* receive message of column indices*/
3520     ierr = MPIULong_Recv(mycols,nz,MPIU_INT,0,tag,comm);CHKERRQ(ierr);
3521   }
3522 
3523   /* determine column ownership if matrix is not square */
3524   if (N != M) {
3525     if (newMat->cmap->n < 0) n = N/size + ((N % size) > rank);
3526     else n = newMat->cmap->n;
3527     ierr   = MPI_Scan(&n,&cend,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
3528     cstart = cend - n;
3529   } else {
3530     cstart = rstart;
3531     cend   = rend;
3532     n      = cend - cstart;
3533   }
3534 
3535   /* loop over local rows, determining number of off diagonal entries */
3536   ierr = PetscMemzero(offlens,m*sizeof(PetscInt));CHKERRQ(ierr);
3537   jj   = 0;
3538   for (i=0; i<m; i++) {
3539     for (j=0; j<ourlens[i]; j++) {
3540       if (mycols[jj] < cstart || mycols[jj] >= cend) offlens[i]++;
3541       jj++;
3542     }
3543   }
3544 
3545   for (i=0; i<m; i++) {
3546     ourlens[i] -= offlens[i];
3547   }
3548   if (!sizesset) {
3549     ierr = MatSetSizes(newMat,m,n,M,N);CHKERRQ(ierr);
3550   }
3551 
3552   if (bs > 1) {ierr = MatSetBlockSize(newMat,bs);CHKERRQ(ierr);}
3553 
3554   ierr = MatMPIAIJSetPreallocation(newMat,0,ourlens,0,offlens);CHKERRQ(ierr);
3555 
3556   for (i=0; i<m; i++) {
3557     ourlens[i] += offlens[i];
3558   }
3559 
3560   if (!rank) {
3561     ierr = PetscMalloc((maxnz+1)*sizeof(PetscScalar),&vals);CHKERRQ(ierr);
3562 
3563     /* read in my part of the matrix numerical values  */
3564     nz   = procsnz[0];
3565     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3566 
3567     /* insert into matrix */
3568     jj      = rstart;
3569     smycols = mycols;
3570     svals   = vals;
3571     for (i=0; i<m; i++) {
3572       ierr     = MatSetValues_MPIAIJ(newMat,1,&jj,ourlens[i],smycols,svals,INSERT_VALUES);CHKERRQ(ierr);
3573       smycols += ourlens[i];
3574       svals   += ourlens[i];
3575       jj++;
3576     }
3577 
3578     /* read in other processors and ship out */
3579     for (i=1; i<size; i++) {
3580       nz   = procsnz[i];
3581       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3582       ierr = MPIULong_Send(vals,nz,MPIU_SCALAR,i,((PetscObject)newMat)->tag,comm);CHKERRQ(ierr);
3583     }
3584     ierr = PetscFree(procsnz);CHKERRQ(ierr);
3585   } else {
3586     /* receive numeric values */
3587     ierr = PetscMalloc((nz+1)*sizeof(PetscScalar),&vals);CHKERRQ(ierr);
3588 
3589     /* receive message of values*/
3590     ierr = MPIULong_Recv(vals,nz,MPIU_SCALAR,0,((PetscObject)newMat)->tag,comm);CHKERRQ(ierr);
3591 
3592     /* insert into matrix */
3593     jj      = rstart;
3594     smycols = mycols;
3595     svals   = vals;
3596     for (i=0; i<m; i++) {
3597       ierr     = MatSetValues_MPIAIJ(newMat,1,&jj,ourlens[i],smycols,svals,INSERT_VALUES);CHKERRQ(ierr);
3598       smycols += ourlens[i];
3599       svals   += ourlens[i];
3600       jj++;
3601     }
3602   }
3603   ierr = PetscFree2(ourlens,offlens);CHKERRQ(ierr);
3604   ierr = PetscFree(vals);CHKERRQ(ierr);
3605   ierr = PetscFree(mycols);CHKERRQ(ierr);
3606   ierr = PetscFree(rowners);CHKERRQ(ierr);
3607   ierr = MatAssemblyBegin(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3608   ierr = MatAssemblyEnd(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3609   PetscFunctionReturn(0);
3610 }
3611 
3612 #undef __FUNCT__
3613 #define __FUNCT__ "MatGetSubMatrix_MPIAIJ"
3614 PetscErrorCode MatGetSubMatrix_MPIAIJ(Mat mat,IS isrow,IS iscol,MatReuse call,Mat *newmat)
3615 {
3616   PetscErrorCode ierr;
3617   IS             iscol_local;
3618   PetscInt       csize;
3619 
3620   PetscFunctionBegin;
3621   ierr = ISGetLocalSize(iscol,&csize);CHKERRQ(ierr);
3622   if (call == MAT_REUSE_MATRIX) {
3623     ierr = PetscObjectQuery((PetscObject)*newmat,"ISAllGather",(PetscObject*)&iscol_local);CHKERRQ(ierr);
3624     if (!iscol_local) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Submatrix passed in was not used before, cannot reuse");
3625   } else {
3626     PetscInt cbs;
3627     ierr = ISGetBlockSize(iscol,&cbs);CHKERRQ(ierr);
3628     ierr = ISAllGather(iscol,&iscol_local);CHKERRQ(ierr);
3629     ierr = ISSetBlockSize(iscol_local,cbs);CHKERRQ(ierr);
3630   }
3631   ierr = MatGetSubMatrix_MPIAIJ_Private(mat,isrow,iscol_local,csize,call,newmat);CHKERRQ(ierr);
3632   if (call == MAT_INITIAL_MATRIX) {
3633     ierr = PetscObjectCompose((PetscObject)*newmat,"ISAllGather",(PetscObject)iscol_local);CHKERRQ(ierr);
3634     ierr = ISDestroy(&iscol_local);CHKERRQ(ierr);
3635   }
3636   PetscFunctionReturn(0);
3637 }
3638 
3639 extern PetscErrorCode MatGetSubMatrices_MPIAIJ_Local(Mat,PetscInt,const IS[],const IS[],MatReuse,PetscBool*,Mat*);
3640 #undef __FUNCT__
3641 #define __FUNCT__ "MatGetSubMatrix_MPIAIJ_Private"
3642 /*
3643     Not great since it makes two copies of the submatrix, first an SeqAIJ
3644   in local and then by concatenating the local matrices the end result.
3645   Writing it directly would be much like MatGetSubMatrices_MPIAIJ()
3646 
3647   Note: This requires a sequential iscol with all indices.
3648 */
3649 PetscErrorCode MatGetSubMatrix_MPIAIJ_Private(Mat mat,IS isrow,IS iscol,PetscInt csize,MatReuse call,Mat *newmat)
3650 {
3651   PetscErrorCode ierr;
3652   PetscMPIInt    rank,size;
3653   PetscInt       i,m,n,rstart,row,rend,nz,*cwork,j,bs,cbs;
3654   PetscInt       *ii,*jj,nlocal,*dlens,*olens,dlen,olen,jend,mglobal,ncol;
3655   PetscBool      allcolumns, colflag;
3656   Mat            M,Mreuse;
3657   MatScalar      *vwork,*aa;
3658   MPI_Comm       comm;
3659   Mat_SeqAIJ     *aij;
3660 
3661   PetscFunctionBegin;
3662   ierr = PetscObjectGetComm((PetscObject)mat,&comm);CHKERRQ(ierr);
3663   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
3664   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3665 
3666   ierr = ISIdentity(iscol,&colflag);CHKERRQ(ierr);
3667   ierr = ISGetLocalSize(iscol,&ncol);CHKERRQ(ierr);
3668   if (colflag && ncol == mat->cmap->N) {
3669     allcolumns = PETSC_TRUE;
3670   } else {
3671     allcolumns = PETSC_FALSE;
3672   }
3673   if (call ==  MAT_REUSE_MATRIX) {
3674     ierr = PetscObjectQuery((PetscObject)*newmat,"SubMatrix",(PetscObject*)&Mreuse);CHKERRQ(ierr);
3675     if (!Mreuse) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Submatrix passed in was not used before, cannot reuse");
3676     ierr = MatGetSubMatrices_MPIAIJ_Local(mat,1,&isrow,&iscol,MAT_REUSE_MATRIX,&allcolumns,&Mreuse);CHKERRQ(ierr);
3677   } else {
3678     ierr = MatGetSubMatrices_MPIAIJ_Local(mat,1,&isrow,&iscol,MAT_INITIAL_MATRIX,&allcolumns,&Mreuse);CHKERRQ(ierr);
3679   }
3680 
3681   /*
3682       m - number of local rows
3683       n - number of columns (same on all processors)
3684       rstart - first row in new global matrix generated
3685   */
3686   ierr = MatGetSize(Mreuse,&m,&n);CHKERRQ(ierr);
3687   ierr = MatGetBlockSizes(Mreuse,&bs,&cbs);CHKERRQ(ierr);
3688   if (call == MAT_INITIAL_MATRIX) {
3689     aij = (Mat_SeqAIJ*)(Mreuse)->data;
3690     ii  = aij->i;
3691     jj  = aij->j;
3692 
3693     /*
3694         Determine the number of non-zeros in the diagonal and off-diagonal
3695         portions of the matrix in order to do correct preallocation
3696     */
3697 
3698     /* first get start and end of "diagonal" columns */
3699     if (csize == PETSC_DECIDE) {
3700       ierr = ISGetSize(isrow,&mglobal);CHKERRQ(ierr);
3701       if (mglobal == n) { /* square matrix */
3702         nlocal = m;
3703       } else {
3704         nlocal = n/size + ((n % size) > rank);
3705       }
3706     } else {
3707       nlocal = csize;
3708     }
3709     ierr   = MPI_Scan(&nlocal,&rend,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
3710     rstart = rend - nlocal;
3711     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);
3712 
3713     /* next, compute all the lengths */
3714     ierr  = PetscMalloc((2*m+1)*sizeof(PetscInt),&dlens);CHKERRQ(ierr);
3715     olens = dlens + m;
3716     for (i=0; i<m; i++) {
3717       jend = ii[i+1] - ii[i];
3718       olen = 0;
3719       dlen = 0;
3720       for (j=0; j<jend; j++) {
3721         if (*jj < rstart || *jj >= rend) olen++;
3722         else dlen++;
3723         jj++;
3724       }
3725       olens[i] = olen;
3726       dlens[i] = dlen;
3727     }
3728     ierr = MatCreate(comm,&M);CHKERRQ(ierr);
3729     ierr = MatSetSizes(M,m,nlocal,PETSC_DECIDE,n);CHKERRQ(ierr);
3730     ierr = MatSetBlockSizes(M,bs,cbs);CHKERRQ(ierr);
3731     ierr = MatSetType(M,((PetscObject)mat)->type_name);CHKERRQ(ierr);
3732     ierr = MatMPIAIJSetPreallocation(M,0,dlens,0,olens);CHKERRQ(ierr);
3733     ierr = PetscFree(dlens);CHKERRQ(ierr);
3734   } else {
3735     PetscInt ml,nl;
3736 
3737     M    = *newmat;
3738     ierr = MatGetLocalSize(M,&ml,&nl);CHKERRQ(ierr);
3739     if (ml != m) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Previous matrix must be same size/layout as request");
3740     ierr = MatZeroEntries(M);CHKERRQ(ierr);
3741     /*
3742          The next two lines are needed so we may call MatSetValues_MPIAIJ() below directly,
3743        rather than the slower MatSetValues().
3744     */
3745     M->was_assembled = PETSC_TRUE;
3746     M->assembled     = PETSC_FALSE;
3747   }
3748   ierr = MatGetOwnershipRange(M,&rstart,&rend);CHKERRQ(ierr);
3749   aij  = (Mat_SeqAIJ*)(Mreuse)->data;
3750   ii   = aij->i;
3751   jj   = aij->j;
3752   aa   = aij->a;
3753   for (i=0; i<m; i++) {
3754     row   = rstart + i;
3755     nz    = ii[i+1] - ii[i];
3756     cwork = jj;     jj += nz;
3757     vwork = aa;     aa += nz;
3758     ierr  = MatSetValues_MPIAIJ(M,1,&row,nz,cwork,vwork,INSERT_VALUES);CHKERRQ(ierr);
3759   }
3760 
3761   ierr    = MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3762   ierr    = MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3763   *newmat = M;
3764 
3765   /* save submatrix used in processor for next request */
3766   if (call ==  MAT_INITIAL_MATRIX) {
3767     ierr = PetscObjectCompose((PetscObject)M,"SubMatrix",(PetscObject)Mreuse);CHKERRQ(ierr);
3768     ierr = MatDestroy(&Mreuse);CHKERRQ(ierr);
3769   }
3770   PetscFunctionReturn(0);
3771 }
3772 
3773 #undef __FUNCT__
3774 #define __FUNCT__ "MatMPIAIJSetPreallocationCSR_MPIAIJ"
3775 PetscErrorCode  MatMPIAIJSetPreallocationCSR_MPIAIJ(Mat B,const PetscInt Ii[],const PetscInt J[],const PetscScalar v[])
3776 {
3777   PetscInt       m,cstart, cend,j,nnz,i,d;
3778   PetscInt       *d_nnz,*o_nnz,nnz_max = 0,rstart,ii;
3779   const PetscInt *JJ;
3780   PetscScalar    *values;
3781   PetscErrorCode ierr;
3782 
3783   PetscFunctionBegin;
3784   if (Ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Ii[0] must be 0 it is %D",Ii[0]);
3785 
3786   ierr   = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3787   ierr   = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3788   m      = B->rmap->n;
3789   cstart = B->cmap->rstart;
3790   cend   = B->cmap->rend;
3791   rstart = B->rmap->rstart;
3792 
3793   ierr = PetscMalloc2(m,PetscInt,&d_nnz,m,PetscInt,&o_nnz);CHKERRQ(ierr);
3794 
3795 #if defined(PETSC_USE_DEBUGGING)
3796   for (i=0; i<m; i++) {
3797     nnz = Ii[i+1]- Ii[i];
3798     JJ  = J + Ii[i];
3799     if (nnz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Local row %D has a negative %D number of columns",i,nnz);
3800     if (nnz && (JJ[0] < 0)) SETERRRQ1(PETSC_ERR_ARG_WRONGSTATE,"Row %D starts with negative column index",i,j);
3801     if (nnz && (JJ[nnz-1] >= B->cmap->N) SETERRRQ3(PETSC_ERR_ARG_WRONGSTATE,"Row %D ends with too large a column index %D (max allowed %D)",i,JJ[nnz-1],B->cmap->N);
3802   }
3803 #endif
3804 
3805   for (i=0; i<m; i++) {
3806     nnz     = Ii[i+1]- Ii[i];
3807     JJ      = J + Ii[i];
3808     nnz_max = PetscMax(nnz_max,nnz);
3809     d       = 0;
3810     for (j=0; j<nnz; j++) {
3811       if (cstart <= JJ[j] && JJ[j] < cend) d++;
3812     }
3813     d_nnz[i] = d;
3814     o_nnz[i] = nnz - d;
3815   }
3816   ierr = MatMPIAIJSetPreallocation(B,0,d_nnz,0,o_nnz);CHKERRQ(ierr);
3817   ierr = PetscFree2(d_nnz,o_nnz);CHKERRQ(ierr);
3818 
3819   if (v) values = (PetscScalar*)v;
3820   else {
3821     ierr = PetscMalloc((nnz_max+1)*sizeof(PetscScalar),&values);CHKERRQ(ierr);
3822     ierr = PetscMemzero(values,nnz_max*sizeof(PetscScalar));CHKERRQ(ierr);
3823   }
3824 
3825   for (i=0; i<m; i++) {
3826     ii   = i + rstart;
3827     nnz  = Ii[i+1]- Ii[i];
3828     ierr = MatSetValues_MPIAIJ(B,1,&ii,nnz,J+Ii[i],values+(v ? Ii[i] : 0),INSERT_VALUES);CHKERRQ(ierr);
3829   }
3830   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3831   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3832 
3833   if (!v) {
3834     ierr = PetscFree(values);CHKERRQ(ierr);
3835   }
3836   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3837   PetscFunctionReturn(0);
3838 }
3839 
3840 #undef __FUNCT__
3841 #define __FUNCT__ "MatMPIAIJSetPreallocationCSR"
3842 /*@
3843    MatMPIAIJSetPreallocationCSR - Allocates memory for a sparse parallel matrix in AIJ format
3844    (the default parallel PETSc format).
3845 
3846    Collective on MPI_Comm
3847 
3848    Input Parameters:
3849 +  B - the matrix
3850 .  i - the indices into j for the start of each local row (starts with zero)
3851 .  j - the column indices for each local row (starts with zero)
3852 -  v - optional values in the matrix
3853 
3854    Level: developer
3855 
3856    Notes:
3857        The i, j, and a arrays ARE copied by this routine into the internal format used by PETSc;
3858      thus you CANNOT change the matrix entries by changing the values of a[] after you have
3859      called this routine. Use MatCreateMPIAIJWithSplitArrays() to avoid needing to copy the arrays.
3860 
3861        The i and j indices are 0 based, and i indices are indices corresponding to the local j array.
3862 
3863        The format which is used for the sparse matrix input, is equivalent to a
3864     row-major ordering.. i.e for the following matrix, the input data expected is
3865     as shown:
3866 
3867         1 0 0
3868         2 0 3     P0
3869        -------
3870         4 5 6     P1
3871 
3872      Process0 [P0]: rows_owned=[0,1]
3873         i =  {0,1,3}  [size = nrow+1  = 2+1]
3874         j =  {0,0,2}  [size = nz = 6]
3875         v =  {1,2,3}  [size = nz = 6]
3876 
3877      Process1 [P1]: rows_owned=[2]
3878         i =  {0,3}    [size = nrow+1  = 1+1]
3879         j =  {0,1,2}  [size = nz = 6]
3880         v =  {4,5,6}  [size = nz = 6]
3881 
3882 .keywords: matrix, aij, compressed row, sparse, parallel
3883 
3884 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatCreateAIJ(), MPIAIJ,
3885           MatCreateSeqAIJWithArrays(), MatCreateMPIAIJWithSplitArrays()
3886 @*/
3887 PetscErrorCode  MatMPIAIJSetPreallocationCSR(Mat B,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
3888 {
3889   PetscErrorCode ierr;
3890 
3891   PetscFunctionBegin;
3892   ierr = PetscTryMethod(B,"MatMPIAIJSetPreallocationCSR_C",(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,i,j,v));CHKERRQ(ierr);
3893   PetscFunctionReturn(0);
3894 }
3895 
3896 #undef __FUNCT__
3897 #define __FUNCT__ "MatMPIAIJSetPreallocation"
3898 /*@C
3899    MatMPIAIJSetPreallocation - Preallocates memory for a sparse parallel matrix in AIJ format
3900    (the default parallel PETSc format).  For good matrix assembly performance
3901    the user should preallocate the matrix storage by setting the parameters
3902    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
3903    performance can be increased by more than a factor of 50.
3904 
3905    Collective on MPI_Comm
3906 
3907    Input Parameters:
3908 +  A - the matrix
3909 .  d_nz  - number of nonzeros per row in DIAGONAL portion of local submatrix
3910            (same value is used for all local rows)
3911 .  d_nnz - array containing the number of nonzeros in the various rows of the
3912            DIAGONAL portion of the local submatrix (possibly different for each row)
3913            or NULL, if d_nz is used to specify the nonzero structure.
3914            The size of this array is equal to the number of local rows, i.e 'm'.
3915            For matrices that will be factored, you must leave room for (and set)
3916            the diagonal entry even if it is zero.
3917 .  o_nz  - number of nonzeros per row in the OFF-DIAGONAL portion of local
3918            submatrix (same value is used for all local rows).
3919 -  o_nnz - array containing the number of nonzeros in the various rows of the
3920            OFF-DIAGONAL portion of the local submatrix (possibly different for
3921            each row) or NULL, if o_nz is used to specify the nonzero
3922            structure. The size of this array is equal to the number
3923            of local rows, i.e 'm'.
3924 
3925    If the *_nnz parameter is given then the *_nz parameter is ignored
3926 
3927    The AIJ format (also called the Yale sparse matrix format or
3928    compressed row storage (CSR)), is fully compatible with standard Fortran 77
3929    storage.  The stored row and column indices begin with zero.
3930    See the <A href="../../docs/manual.pdf#nameddest=ch_mat">Mat chapter of the users manual</A> for details.
3931 
3932    The parallel matrix is partitioned such that the first m0 rows belong to
3933    process 0, the next m1 rows belong to process 1, the next m2 rows belong
3934    to process 2 etc.. where m0,m1,m2... are the input parameter 'm'.
3935 
3936    The DIAGONAL portion of the local submatrix of a processor can be defined
3937    as the submatrix which is obtained by extraction the part corresponding to
3938    the rows r1-r2 and columns c1-c2 of the global matrix, where r1 is the
3939    first row that belongs to the processor, r2 is the last row belonging to
3940    the this processor, and c1-c2 is range of indices of the local part of a
3941    vector suitable for applying the matrix to.  This is an mxn matrix.  In the
3942    common case of a square matrix, the row and column ranges are the same and
3943    the DIAGONAL part is also square. The remaining portion of the local
3944    submatrix (mxN) constitute the OFF-DIAGONAL portion.
3945 
3946    If o_nnz, d_nnz are specified, then o_nz, and d_nz are ignored.
3947 
3948    You can call MatGetInfo() to get information on how effective the preallocation was;
3949    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3950    You can also run with the option -info and look for messages with the string
3951    malloc in them to see if additional memory allocation was needed.
3952 
3953    Example usage:
3954 
3955    Consider the following 8x8 matrix with 34 non-zero values, that is
3956    assembled across 3 processors. Lets assume that proc0 owns 3 rows,
3957    proc1 owns 3 rows, proc2 owns 2 rows. This division can be shown
3958    as follows:
3959 
3960 .vb
3961             1  2  0  |  0  3  0  |  0  4
3962     Proc0   0  5  6  |  7  0  0  |  8  0
3963             9  0 10  | 11  0  0  | 12  0
3964     -------------------------------------
3965            13  0 14  | 15 16 17  |  0  0
3966     Proc1   0 18  0  | 19 20 21  |  0  0
3967             0  0  0  | 22 23  0  | 24  0
3968     -------------------------------------
3969     Proc2  25 26 27  |  0  0 28  | 29  0
3970            30  0  0  | 31 32 33  |  0 34
3971 .ve
3972 
3973    This can be represented as a collection of submatrices as:
3974 
3975 .vb
3976       A B C
3977       D E F
3978       G H I
3979 .ve
3980 
3981    Where the submatrices A,B,C are owned by proc0, D,E,F are
3982    owned by proc1, G,H,I are owned by proc2.
3983 
3984    The 'm' parameters for proc0,proc1,proc2 are 3,3,2 respectively.
3985    The 'n' parameters for proc0,proc1,proc2 are 3,3,2 respectively.
3986    The 'M','N' parameters are 8,8, and have the same values on all procs.
3987 
3988    The DIAGONAL submatrices corresponding to proc0,proc1,proc2 are
3989    submatrices [A], [E], [I] respectively. The OFF-DIAGONAL submatrices
3990    corresponding to proc0,proc1,proc2 are [BC], [DF], [GH] respectively.
3991    Internally, each processor stores the DIAGONAL part, and the OFF-DIAGONAL
3992    part as SeqAIJ matrices. for eg: proc1 will store [E] as a SeqAIJ
3993    matrix, ans [DF] as another SeqAIJ matrix.
3994 
3995    When d_nz, o_nz parameters are specified, d_nz storage elements are
3996    allocated for every row of the local diagonal submatrix, and o_nz
3997    storage locations are allocated for every row of the OFF-DIAGONAL submat.
3998    One way to choose d_nz and o_nz is to use the max nonzerors per local
3999    rows for each of the local DIAGONAL, and the OFF-DIAGONAL submatrices.
4000    In this case, the values of d_nz,o_nz are:
4001 .vb
4002      proc0 : dnz = 2, o_nz = 2
4003      proc1 : dnz = 3, o_nz = 2
4004      proc2 : dnz = 1, o_nz = 4
4005 .ve
4006    We are allocating m*(d_nz+o_nz) storage locations for every proc. This
4007    translates to 3*(2+2)=12 for proc0, 3*(3+2)=15 for proc1, 2*(1+4)=10
4008    for proc3. i.e we are using 12+15+10=37 storage locations to store
4009    34 values.
4010 
4011    When d_nnz, o_nnz parameters are specified, the storage is specified
4012    for every row, coresponding to both DIAGONAL and OFF-DIAGONAL submatrices.
4013    In the above case the values for d_nnz,o_nnz are:
4014 .vb
4015      proc0: d_nnz = [2,2,2] and o_nnz = [2,2,2]
4016      proc1: d_nnz = [3,3,2] and o_nnz = [2,1,1]
4017      proc2: d_nnz = [1,1]   and o_nnz = [4,4]
4018 .ve
4019    Here the space allocated is sum of all the above values i.e 34, and
4020    hence pre-allocation is perfect.
4021 
4022    Level: intermediate
4023 
4024 .keywords: matrix, aij, compressed row, sparse, parallel
4025 
4026 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateAIJ(), MatMPIAIJSetPreallocationCSR(),
4027           MPIAIJ, MatGetInfo(), PetscSplitOwnership()
4028 @*/
4029 PetscErrorCode  MatMPIAIJSetPreallocation(Mat B,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
4030 {
4031   PetscErrorCode ierr;
4032 
4033   PetscFunctionBegin;
4034   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
4035   PetscValidType(B,1);
4036   ierr = PetscTryMethod(B,"MatMPIAIJSetPreallocation_C",(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]),(B,d_nz,d_nnz,o_nz,o_nnz));CHKERRQ(ierr);
4037   PetscFunctionReturn(0);
4038 }
4039 
4040 #undef __FUNCT__
4041 #define __FUNCT__ "MatCreateMPIAIJWithArrays"
4042 /*@
4043      MatCreateMPIAIJWithArrays - creates a MPI AIJ matrix using arrays that contain in standard
4044          CSR format the local rows.
4045 
4046    Collective on MPI_Comm
4047 
4048    Input Parameters:
4049 +  comm - MPI communicator
4050 .  m - number of local rows (Cannot be PETSC_DECIDE)
4051 .  n - This value should be the same as the local size used in creating the
4052        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
4053        calculated if N is given) For square matrices n is almost always m.
4054 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
4055 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
4056 .   i - row indices
4057 .   j - column indices
4058 -   a - matrix values
4059 
4060    Output Parameter:
4061 .   mat - the matrix
4062 
4063    Level: intermediate
4064 
4065    Notes:
4066        The i, j, and a arrays ARE copied by this routine into the internal format used by PETSc;
4067      thus you CANNOT change the matrix entries by changing the values of a[] after you have
4068      called this routine. Use MatCreateMPIAIJWithSplitArrays() to avoid needing to copy the arrays.
4069 
4070        The i and j indices are 0 based, and i indices are indices corresponding to the local j array.
4071 
4072        The format which is used for the sparse matrix input, is equivalent to a
4073     row-major ordering.. i.e for the following matrix, the input data expected is
4074     as shown:
4075 
4076         1 0 0
4077         2 0 3     P0
4078        -------
4079         4 5 6     P1
4080 
4081      Process0 [P0]: rows_owned=[0,1]
4082         i =  {0,1,3}  [size = nrow+1  = 2+1]
4083         j =  {0,0,2}  [size = nz = 6]
4084         v =  {1,2,3}  [size = nz = 6]
4085 
4086      Process1 [P1]: rows_owned=[2]
4087         i =  {0,3}    [size = nrow+1  = 1+1]
4088         j =  {0,1,2}  [size = nz = 6]
4089         v =  {4,5,6}  [size = nz = 6]
4090 
4091 .keywords: matrix, aij, compressed row, sparse, parallel
4092 
4093 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
4094           MPIAIJ, MatCreateAIJ(), MatCreateMPIAIJWithSplitArrays()
4095 @*/
4096 PetscErrorCode  MatCreateMPIAIJWithArrays(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt i[],const PetscInt j[],const PetscScalar a[],Mat *mat)
4097 {
4098   PetscErrorCode ierr;
4099 
4100   PetscFunctionBegin;
4101   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
4102   if (m < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"local number of rows (m) cannot be PETSC_DECIDE, or negative");
4103   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4104   ierr = MatSetSizes(*mat,m,n,M,N);CHKERRQ(ierr);
4105   /* ierr = MatSetBlockSizes(M,bs,cbs);CHKERRQ(ierr); */
4106   ierr = MatSetType(*mat,MATMPIAIJ);CHKERRQ(ierr);
4107   ierr = MatMPIAIJSetPreallocationCSR(*mat,i,j,a);CHKERRQ(ierr);
4108   PetscFunctionReturn(0);
4109 }
4110 
4111 #undef __FUNCT__
4112 #define __FUNCT__ "MatCreateAIJ"
4113 /*@C
4114    MatCreateAIJ - Creates a sparse parallel matrix in AIJ format
4115    (the default parallel PETSc format).  For good matrix assembly performance
4116    the user should preallocate the matrix storage by setting the parameters
4117    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
4118    performance can be increased by more than a factor of 50.
4119 
4120    Collective on MPI_Comm
4121 
4122    Input Parameters:
4123 +  comm - MPI communicator
4124 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
4125            This value should be the same as the local size used in creating the
4126            y vector for the matrix-vector product y = Ax.
4127 .  n - This value should be the same as the local size used in creating the
4128        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
4129        calculated if N is given) For square matrices n is almost always m.
4130 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
4131 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
4132 .  d_nz  - number of nonzeros per row in DIAGONAL portion of local submatrix
4133            (same value is used for all local rows)
4134 .  d_nnz - array containing the number of nonzeros in the various rows of the
4135            DIAGONAL portion of the local submatrix (possibly different for each row)
4136            or NULL, if d_nz is used to specify the nonzero structure.
4137            The size of this array is equal to the number of local rows, i.e 'm'.
4138 .  o_nz  - number of nonzeros per row in the OFF-DIAGONAL portion of local
4139            submatrix (same value is used for all local rows).
4140 -  o_nnz - array containing the number of nonzeros in the various rows of the
4141            OFF-DIAGONAL portion of the local submatrix (possibly different for
4142            each row) or NULL, if o_nz is used to specify the nonzero
4143            structure. The size of this array is equal to the number
4144            of local rows, i.e 'm'.
4145 
4146    Output Parameter:
4147 .  A - the matrix
4148 
4149    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
4150    MatXXXXSetPreallocation() paradgm instead of this routine directly.
4151    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
4152 
4153    Notes:
4154    If the *_nnz parameter is given then the *_nz parameter is ignored
4155 
4156    m,n,M,N parameters specify the size of the matrix, and its partitioning across
4157    processors, while d_nz,d_nnz,o_nz,o_nnz parameters specify the approximate
4158    storage requirements for this matrix.
4159 
4160    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one
4161    processor than it must be used on all processors that share the object for
4162    that argument.
4163 
4164    The user MUST specify either the local or global matrix dimensions
4165    (possibly both).
4166 
4167    The parallel matrix is partitioned across processors such that the
4168    first m0 rows belong to process 0, the next m1 rows belong to
4169    process 1, the next m2 rows belong to process 2 etc.. where
4170    m0,m1,m2,.. are the input parameter 'm'. i.e each processor stores
4171    values corresponding to [m x N] submatrix.
4172 
4173    The columns are logically partitioned with the n0 columns belonging
4174    to 0th partition, the next n1 columns belonging to the next
4175    partition etc.. where n0,n1,n2... are the the input parameter 'n'.
4176 
4177    The DIAGONAL portion of the local submatrix on any given processor
4178    is the submatrix corresponding to the rows and columns m,n
4179    corresponding to the given processor. i.e diagonal matrix on
4180    process 0 is [m0 x n0], diagonal matrix on process 1 is [m1 x n1]
4181    etc. The remaining portion of the local submatrix [m x (N-n)]
4182    constitute the OFF-DIAGONAL portion. The example below better
4183    illustrates this concept.
4184 
4185    For a square global matrix we define each processor's diagonal portion
4186    to be its local rows and the corresponding columns (a square submatrix);
4187    each processor's off-diagonal portion encompasses the remainder of the
4188    local matrix (a rectangular submatrix).
4189 
4190    If o_nnz, d_nnz are specified, then o_nz, and d_nz are ignored.
4191 
4192    When calling this routine with a single process communicator, a matrix of
4193    type SEQAIJ is returned.  If a matrix of type MPIAIJ is desired for this
4194    type of communicator, use the construction mechanism:
4195      MatCreate(...,&A); MatSetType(A,MATMPIAIJ); MatSetSizes(A, m,n,M,N); MatMPIAIJSetPreallocation(A,...);
4196 
4197    By default, this format uses inodes (identical nodes) when possible.
4198    We search for consecutive rows with the same nonzero structure, thereby
4199    reusing matrix information to achieve increased efficiency.
4200 
4201    Options Database Keys:
4202 +  -mat_no_inode  - Do not use inodes
4203 .  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
4204 -  -mat_aij_oneindex - Internally use indexing starting at 1
4205         rather than 0.  Note that when calling MatSetValues(),
4206         the user still MUST index entries starting at 0!
4207 
4208 
4209    Example usage:
4210 
4211    Consider the following 8x8 matrix with 34 non-zero values, that is
4212    assembled across 3 processors. Lets assume that proc0 owns 3 rows,
4213    proc1 owns 3 rows, proc2 owns 2 rows. This division can be shown
4214    as follows:
4215 
4216 .vb
4217             1  2  0  |  0  3  0  |  0  4
4218     Proc0   0  5  6  |  7  0  0  |  8  0
4219             9  0 10  | 11  0  0  | 12  0
4220     -------------------------------------
4221            13  0 14  | 15 16 17  |  0  0
4222     Proc1   0 18  0  | 19 20 21  |  0  0
4223             0  0  0  | 22 23  0  | 24  0
4224     -------------------------------------
4225     Proc2  25 26 27  |  0  0 28  | 29  0
4226            30  0  0  | 31 32 33  |  0 34
4227 .ve
4228 
4229    This can be represented as a collection of submatrices as:
4230 
4231 .vb
4232       A B C
4233       D E F
4234       G H I
4235 .ve
4236 
4237    Where the submatrices A,B,C are owned by proc0, D,E,F are
4238    owned by proc1, G,H,I are owned by proc2.
4239 
4240    The 'm' parameters for proc0,proc1,proc2 are 3,3,2 respectively.
4241    The 'n' parameters for proc0,proc1,proc2 are 3,3,2 respectively.
4242    The 'M','N' parameters are 8,8, and have the same values on all procs.
4243 
4244    The DIAGONAL submatrices corresponding to proc0,proc1,proc2 are
4245    submatrices [A], [E], [I] respectively. The OFF-DIAGONAL submatrices
4246    corresponding to proc0,proc1,proc2 are [BC], [DF], [GH] respectively.
4247    Internally, each processor stores the DIAGONAL part, and the OFF-DIAGONAL
4248    part as SeqAIJ matrices. for eg: proc1 will store [E] as a SeqAIJ
4249    matrix, ans [DF] as another SeqAIJ matrix.
4250 
4251    When d_nz, o_nz parameters are specified, d_nz storage elements are
4252    allocated for every row of the local diagonal submatrix, and o_nz
4253    storage locations are allocated for every row of the OFF-DIAGONAL submat.
4254    One way to choose d_nz and o_nz is to use the max nonzerors per local
4255    rows for each of the local DIAGONAL, and the OFF-DIAGONAL submatrices.
4256    In this case, the values of d_nz,o_nz are:
4257 .vb
4258      proc0 : dnz = 2, o_nz = 2
4259      proc1 : dnz = 3, o_nz = 2
4260      proc2 : dnz = 1, o_nz = 4
4261 .ve
4262    We are allocating m*(d_nz+o_nz) storage locations for every proc. This
4263    translates to 3*(2+2)=12 for proc0, 3*(3+2)=15 for proc1, 2*(1+4)=10
4264    for proc3. i.e we are using 12+15+10=37 storage locations to store
4265    34 values.
4266 
4267    When d_nnz, o_nnz parameters are specified, the storage is specified
4268    for every row, coresponding to both DIAGONAL and OFF-DIAGONAL submatrices.
4269    In the above case the values for d_nnz,o_nnz are:
4270 .vb
4271      proc0: d_nnz = [2,2,2] and o_nnz = [2,2,2]
4272      proc1: d_nnz = [3,3,2] and o_nnz = [2,1,1]
4273      proc2: d_nnz = [1,1]   and o_nnz = [4,4]
4274 .ve
4275    Here the space allocated is sum of all the above values i.e 34, and
4276    hence pre-allocation is perfect.
4277 
4278    Level: intermediate
4279 
4280 .keywords: matrix, aij, compressed row, sparse, parallel
4281 
4282 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
4283           MPIAIJ, MatCreateMPIAIJWithArrays()
4284 @*/
4285 PetscErrorCode  MatCreateAIJ(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[],Mat *A)
4286 {
4287   PetscErrorCode ierr;
4288   PetscMPIInt    size;
4289 
4290   PetscFunctionBegin;
4291   ierr = MatCreate(comm,A);CHKERRQ(ierr);
4292   ierr = MatSetSizes(*A,m,n,M,N);CHKERRQ(ierr);
4293   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4294   if (size > 1) {
4295     ierr = MatSetType(*A,MATMPIAIJ);CHKERRQ(ierr);
4296     ierr = MatMPIAIJSetPreallocation(*A,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
4297   } else {
4298     ierr = MatSetType(*A,MATSEQAIJ);CHKERRQ(ierr);
4299     ierr = MatSeqAIJSetPreallocation(*A,d_nz,d_nnz);CHKERRQ(ierr);
4300   }
4301   PetscFunctionReturn(0);
4302 }
4303 
4304 #undef __FUNCT__
4305 #define __FUNCT__ "MatMPIAIJGetSeqAIJ"
4306 PetscErrorCode  MatMPIAIJGetSeqAIJ(Mat A,Mat *Ad,Mat *Ao,const PetscInt *colmap[])
4307 {
4308   Mat_MPIAIJ *a = (Mat_MPIAIJ*)A->data;
4309 
4310   PetscFunctionBegin;
4311   *Ad     = a->A;
4312   *Ao     = a->B;
4313   *colmap = a->garray;
4314   PetscFunctionReturn(0);
4315 }
4316 
4317 #undef __FUNCT__
4318 #define __FUNCT__ "MatSetColoring_MPIAIJ"
4319 PetscErrorCode MatSetColoring_MPIAIJ(Mat A,ISColoring coloring)
4320 {
4321   PetscErrorCode ierr;
4322   PetscInt       i;
4323   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
4324 
4325   PetscFunctionBegin;
4326   if (coloring->ctype == IS_COLORING_GLOBAL) {
4327     ISColoringValue *allcolors,*colors;
4328     ISColoring      ocoloring;
4329 
4330     /* set coloring for diagonal portion */
4331     ierr = MatSetColoring_SeqAIJ(a->A,coloring);CHKERRQ(ierr);
4332 
4333     /* set coloring for off-diagonal portion */
4334     ierr = ISAllGatherColors(PetscObjectComm((PetscObject)A),coloring->n,coloring->colors,NULL,&allcolors);CHKERRQ(ierr);
4335     ierr = PetscMalloc((a->B->cmap->n+1)*sizeof(ISColoringValue),&colors);CHKERRQ(ierr);
4336     for (i=0; i<a->B->cmap->n; i++) {
4337       colors[i] = allcolors[a->garray[i]];
4338     }
4339     ierr = PetscFree(allcolors);CHKERRQ(ierr);
4340     ierr = ISColoringCreate(MPI_COMM_SELF,coloring->n,a->B->cmap->n,colors,&ocoloring);CHKERRQ(ierr);
4341     ierr = MatSetColoring_SeqAIJ(a->B,ocoloring);CHKERRQ(ierr);
4342     ierr = ISColoringDestroy(&ocoloring);CHKERRQ(ierr);
4343   } else if (coloring->ctype == IS_COLORING_GHOSTED) {
4344     ISColoringValue *colors;
4345     PetscInt        *larray;
4346     ISColoring      ocoloring;
4347 
4348     /* set coloring for diagonal portion */
4349     ierr = PetscMalloc((a->A->cmap->n+1)*sizeof(PetscInt),&larray);CHKERRQ(ierr);
4350     for (i=0; i<a->A->cmap->n; i++) {
4351       larray[i] = i + A->cmap->rstart;
4352     }
4353     ierr = ISGlobalToLocalMappingApply(A->cmap->mapping,IS_GTOLM_MASK,a->A->cmap->n,larray,NULL,larray);CHKERRQ(ierr);
4354     ierr = PetscMalloc((a->A->cmap->n+1)*sizeof(ISColoringValue),&colors);CHKERRQ(ierr);
4355     for (i=0; i<a->A->cmap->n; i++) {
4356       colors[i] = coloring->colors[larray[i]];
4357     }
4358     ierr = PetscFree(larray);CHKERRQ(ierr);
4359     ierr = ISColoringCreate(PETSC_COMM_SELF,coloring->n,a->A->cmap->n,colors,&ocoloring);CHKERRQ(ierr);
4360     ierr = MatSetColoring_SeqAIJ(a->A,ocoloring);CHKERRQ(ierr);
4361     ierr = ISColoringDestroy(&ocoloring);CHKERRQ(ierr);
4362 
4363     /* set coloring for off-diagonal portion */
4364     ierr = PetscMalloc((a->B->cmap->n+1)*sizeof(PetscInt),&larray);CHKERRQ(ierr);
4365     ierr = ISGlobalToLocalMappingApply(A->cmap->mapping,IS_GTOLM_MASK,a->B->cmap->n,a->garray,NULL,larray);CHKERRQ(ierr);
4366     ierr = PetscMalloc((a->B->cmap->n+1)*sizeof(ISColoringValue),&colors);CHKERRQ(ierr);
4367     for (i=0; i<a->B->cmap->n; i++) {
4368       colors[i] = coloring->colors[larray[i]];
4369     }
4370     ierr = PetscFree(larray);CHKERRQ(ierr);
4371     ierr = ISColoringCreate(MPI_COMM_SELF,coloring->n,a->B->cmap->n,colors,&ocoloring);CHKERRQ(ierr);
4372     ierr = MatSetColoring_SeqAIJ(a->B,ocoloring);CHKERRQ(ierr);
4373     ierr = ISColoringDestroy(&ocoloring);CHKERRQ(ierr);
4374   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support ISColoringType %d",(int)coloring->ctype);
4375   PetscFunctionReturn(0);
4376 }
4377 
4378 #undef __FUNCT__
4379 #define __FUNCT__ "MatSetValuesAdifor_MPIAIJ"
4380 PetscErrorCode MatSetValuesAdifor_MPIAIJ(Mat A,PetscInt nl,void *advalues)
4381 {
4382   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
4383   PetscErrorCode ierr;
4384 
4385   PetscFunctionBegin;
4386   ierr = MatSetValuesAdifor_SeqAIJ(a->A,nl,advalues);CHKERRQ(ierr);
4387   ierr = MatSetValuesAdifor_SeqAIJ(a->B,nl,advalues);CHKERRQ(ierr);
4388   PetscFunctionReturn(0);
4389 }
4390 
4391 #undef __FUNCT__
4392 #define __FUNCT__ "MatCreateMPIAIJConcatenateSeqAIJSymbolic"
4393 PetscErrorCode  MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm comm,Mat inmat,PetscInt n,Mat *outmat)
4394 {
4395   PetscErrorCode ierr;
4396   PetscInt       m,N,i,rstart,nnz,*dnz,*onz,sum,bs,cbs;
4397   PetscInt       *indx;
4398 
4399   PetscFunctionBegin;
4400   /* This routine will ONLY return MPIAIJ type matrix */
4401   ierr = MatGetSize(inmat,&m,&N);CHKERRQ(ierr);
4402   ierr = MatGetBlockSizes(inmat,&bs,&cbs);CHKERRQ(ierr);
4403   if (n == PETSC_DECIDE) {
4404     ierr = PetscSplitOwnership(comm,&n,&N);CHKERRQ(ierr);
4405   }
4406   /* Check sum(n) = N */
4407   ierr = MPI_Allreduce(&n,&sum,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
4408   if (sum != N) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Sum of local columns != global columns %d",N);
4409 
4410   ierr    = MPI_Scan(&m, &rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
4411   rstart -= m;
4412 
4413   ierr = MatPreallocateInitialize(comm,m,n,dnz,onz);CHKERRQ(ierr);
4414   for (i=0; i<m; i++) {
4415     ierr = MatGetRow_SeqAIJ(inmat,i,&nnz,&indx,NULL);CHKERRQ(ierr);
4416     ierr = MatPreallocateSet(i+rstart,nnz,indx,dnz,onz);CHKERRQ(ierr);
4417     ierr = MatRestoreRow_SeqAIJ(inmat,i,&nnz,&indx,NULL);CHKERRQ(ierr);
4418   }
4419 
4420   ierr = MatCreate(comm,outmat);CHKERRQ(ierr);
4421   ierr = MatSetSizes(*outmat,m,n,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
4422   ierr = MatSetBlockSizes(*outmat,bs,cbs);CHKERRQ(ierr);
4423   ierr = MatSetType(*outmat,MATMPIAIJ);CHKERRQ(ierr);
4424   ierr = MatMPIAIJSetPreallocation(*outmat,0,dnz,0,onz);CHKERRQ(ierr);
4425   ierr = MatPreallocateFinalize(dnz,onz);CHKERRQ(ierr);
4426   PetscFunctionReturn(0);
4427 }
4428 
4429 #undef __FUNCT__
4430 #define __FUNCT__ "MatCreateMPIAIJConcatenateSeqAIJNumeric"
4431 PetscErrorCode  MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm comm,Mat inmat,PetscInt n,Mat outmat)
4432 {
4433   PetscErrorCode ierr;
4434   PetscInt       m,N,i,rstart,nnz,Ii;
4435   PetscInt       *indx;
4436   PetscScalar    *values;
4437 
4438   PetscFunctionBegin;
4439   ierr = MatGetSize(inmat,&m,&N);CHKERRQ(ierr);
4440   ierr = MatGetOwnershipRange(outmat,&rstart,NULL);CHKERRQ(ierr);
4441   for (i=0; i<m; i++) {
4442     ierr = MatGetRow_SeqAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
4443     Ii   = i + rstart;
4444     ierr = MatSetValues_MPIAIJ(outmat,1,&Ii,nnz,indx,values,INSERT_VALUES);CHKERRQ(ierr);
4445     ierr = MatRestoreRow_SeqAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
4446   }
4447   ierr = MatAssemblyBegin(outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4448   ierr = MatAssemblyEnd(outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4449   PetscFunctionReturn(0);
4450 }
4451 
4452 #undef __FUNCT__
4453 #define __FUNCT__ "MatCreateMPIAIJConcatenateSeqAIJ"
4454 /*@
4455       MatCreateMPIAIJConcatenateSeqAIJ - Creates a single large PETSc matrix by concatenating sequential
4456                  matrices from each processor
4457 
4458     Collective on MPI_Comm
4459 
4460    Input Parameters:
4461 +    comm - the communicators the parallel matrix will live on
4462 .    inmat - the input sequential matrices
4463 .    n - number of local columns (or PETSC_DECIDE)
4464 -    scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
4465 
4466    Output Parameter:
4467 .    outmat - the parallel matrix generated
4468 
4469     Level: advanced
4470 
4471    Notes: The number of columns of the matrix in EACH processor MUST be the same.
4472 
4473 @*/
4474 PetscErrorCode  MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
4475 {
4476   PetscErrorCode ierr;
4477 
4478   PetscFunctionBegin;
4479   ierr = PetscLogEventBegin(MAT_Merge,inmat,0,0,0);CHKERRQ(ierr);
4480   if (scall == MAT_INITIAL_MATRIX) {
4481     ierr = MatCreateMPIAIJConcatenateSeqAIJSymbolic(comm,inmat,n,outmat);CHKERRQ(ierr);
4482   }
4483   ierr = MatCreateMPIAIJConcatenateSeqAIJNumeric(comm,inmat,n,*outmat);CHKERRQ(ierr);
4484   ierr = PetscLogEventEnd(MAT_Merge,inmat,0,0,0);CHKERRQ(ierr);
4485   PetscFunctionReturn(0);
4486 }
4487 
4488 #undef __FUNCT__
4489 #define __FUNCT__ "MatFileSplit"
4490 PetscErrorCode MatFileSplit(Mat A,char *outfile)
4491 {
4492   PetscErrorCode    ierr;
4493   PetscMPIInt       rank;
4494   PetscInt          m,N,i,rstart,nnz;
4495   size_t            len;
4496   const PetscInt    *indx;
4497   PetscViewer       out;
4498   char              *name;
4499   Mat               B;
4500   const PetscScalar *values;
4501 
4502   PetscFunctionBegin;
4503   ierr = MatGetLocalSize(A,&m,0);CHKERRQ(ierr);
4504   ierr = MatGetSize(A,0,&N);CHKERRQ(ierr);
4505   /* Should this be the type of the diagonal block of A? */
4506   ierr = MatCreate(PETSC_COMM_SELF,&B);CHKERRQ(ierr);
4507   ierr = MatSetSizes(B,m,N,m,N);CHKERRQ(ierr);
4508   ierr = MatSetBlockSizes(B,A->rmap->bs,A->cmap->bs);CHKERRQ(ierr);
4509   ierr = MatSetType(B,MATSEQAIJ);CHKERRQ(ierr);
4510   ierr = MatSeqAIJSetPreallocation(B,0,NULL);CHKERRQ(ierr);
4511   ierr = MatGetOwnershipRange(A,&rstart,0);CHKERRQ(ierr);
4512   for (i=0; i<m; i++) {
4513     ierr = MatGetRow(A,i+rstart,&nnz,&indx,&values);CHKERRQ(ierr);
4514     ierr = MatSetValues(B,1,&i,nnz,indx,values,INSERT_VALUES);CHKERRQ(ierr);
4515     ierr = MatRestoreRow(A,i+rstart,&nnz,&indx,&values);CHKERRQ(ierr);
4516   }
4517   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4518   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4519 
4520   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A),&rank);CHKERRQ(ierr);
4521   ierr = PetscStrlen(outfile,&len);CHKERRQ(ierr);
4522   ierr = PetscMalloc((len+5)*sizeof(char),&name);CHKERRQ(ierr);
4523   sprintf(name,"%s.%d",outfile,rank);
4524   ierr = PetscViewerBinaryOpen(PETSC_COMM_SELF,name,FILE_MODE_APPEND,&out);CHKERRQ(ierr);
4525   ierr = PetscFree(name);CHKERRQ(ierr);
4526   ierr = MatView(B,out);CHKERRQ(ierr);
4527   ierr = PetscViewerDestroy(&out);CHKERRQ(ierr);
4528   ierr = MatDestroy(&B);CHKERRQ(ierr);
4529   PetscFunctionReturn(0);
4530 }
4531 
4532 extern PetscErrorCode MatDestroy_MPIAIJ(Mat);
4533 #undef __FUNCT__
4534 #define __FUNCT__ "MatDestroy_MPIAIJ_SeqsToMPI"
4535 PetscErrorCode  MatDestroy_MPIAIJ_SeqsToMPI(Mat A)
4536 {
4537   PetscErrorCode      ierr;
4538   Mat_Merge_SeqsToMPI *merge;
4539   PetscContainer      container;
4540 
4541   PetscFunctionBegin;
4542   ierr = PetscObjectQuery((PetscObject)A,"MatMergeSeqsToMPI",(PetscObject*)&container);CHKERRQ(ierr);
4543   if (container) {
4544     ierr = PetscContainerGetPointer(container,(void**)&merge);CHKERRQ(ierr);
4545     ierr = PetscFree(merge->id_r);CHKERRQ(ierr);
4546     ierr = PetscFree(merge->len_s);CHKERRQ(ierr);
4547     ierr = PetscFree(merge->len_r);CHKERRQ(ierr);
4548     ierr = PetscFree(merge->bi);CHKERRQ(ierr);
4549     ierr = PetscFree(merge->bj);CHKERRQ(ierr);
4550     ierr = PetscFree(merge->buf_ri[0]);CHKERRQ(ierr);
4551     ierr = PetscFree(merge->buf_ri);CHKERRQ(ierr);
4552     ierr = PetscFree(merge->buf_rj[0]);CHKERRQ(ierr);
4553     ierr = PetscFree(merge->buf_rj);CHKERRQ(ierr);
4554     ierr = PetscFree(merge->coi);CHKERRQ(ierr);
4555     ierr = PetscFree(merge->coj);CHKERRQ(ierr);
4556     ierr = PetscFree(merge->owners_co);CHKERRQ(ierr);
4557     ierr = PetscLayoutDestroy(&merge->rowmap);CHKERRQ(ierr);
4558     ierr = PetscFree(merge);CHKERRQ(ierr);
4559     ierr = PetscObjectCompose((PetscObject)A,"MatMergeSeqsToMPI",0);CHKERRQ(ierr);
4560   }
4561   ierr = MatDestroy_MPIAIJ(A);CHKERRQ(ierr);
4562   PetscFunctionReturn(0);
4563 }
4564 
4565 #include <../src/mat/utils/freespace.h>
4566 #include <petscbt.h>
4567 
4568 #undef __FUNCT__
4569 #define __FUNCT__ "MatCreateMPIAIJSumSeqAIJNumeric"
4570 PetscErrorCode  MatCreateMPIAIJSumSeqAIJNumeric(Mat seqmat,Mat mpimat)
4571 {
4572   PetscErrorCode      ierr;
4573   MPI_Comm            comm;
4574   Mat_SeqAIJ          *a  =(Mat_SeqAIJ*)seqmat->data;
4575   PetscMPIInt         size,rank,taga,*len_s;
4576   PetscInt            N=mpimat->cmap->N,i,j,*owners,*ai=a->i,*aj;
4577   PetscInt            proc,m;
4578   PetscInt            **buf_ri,**buf_rj;
4579   PetscInt            k,anzi,*bj_i,*bi,*bj,arow,bnzi,nextaj;
4580   PetscInt            nrows,**buf_ri_k,**nextrow,**nextai;
4581   MPI_Request         *s_waits,*r_waits;
4582   MPI_Status          *status;
4583   MatScalar           *aa=a->a;
4584   MatScalar           **abuf_r,*ba_i;
4585   Mat_Merge_SeqsToMPI *merge;
4586   PetscContainer      container;
4587 
4588   PetscFunctionBegin;
4589   ierr = PetscObjectGetComm((PetscObject)mpimat,&comm);CHKERRQ(ierr);
4590   ierr = PetscLogEventBegin(MAT_Seqstompinum,seqmat,0,0,0);CHKERRQ(ierr);
4591 
4592   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4593   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
4594 
4595   ierr = PetscObjectQuery((PetscObject)mpimat,"MatMergeSeqsToMPI",(PetscObject*)&container);CHKERRQ(ierr);
4596   ierr = PetscContainerGetPointer(container,(void**)&merge);CHKERRQ(ierr);
4597 
4598   bi     = merge->bi;
4599   bj     = merge->bj;
4600   buf_ri = merge->buf_ri;
4601   buf_rj = merge->buf_rj;
4602 
4603   ierr   = PetscMalloc(size*sizeof(MPI_Status),&status);CHKERRQ(ierr);
4604   owners = merge->rowmap->range;
4605   len_s  = merge->len_s;
4606 
4607   /* send and recv matrix values */
4608   /*-----------------------------*/
4609   ierr = PetscObjectGetNewTag((PetscObject)mpimat,&taga);CHKERRQ(ierr);
4610   ierr = PetscPostIrecvScalar(comm,taga,merge->nrecv,merge->id_r,merge->len_r,&abuf_r,&r_waits);CHKERRQ(ierr);
4611 
4612   ierr = PetscMalloc((merge->nsend+1)*sizeof(MPI_Request),&s_waits);CHKERRQ(ierr);
4613   for (proc=0,k=0; proc<size; proc++) {
4614     if (!len_s[proc]) continue;
4615     i    = owners[proc];
4616     ierr = MPI_Isend(aa+ai[i],len_s[proc],MPIU_MATSCALAR,proc,taga,comm,s_waits+k);CHKERRQ(ierr);
4617     k++;
4618   }
4619 
4620   if (merge->nrecv) {ierr = MPI_Waitall(merge->nrecv,r_waits,status);CHKERRQ(ierr);}
4621   if (merge->nsend) {ierr = MPI_Waitall(merge->nsend,s_waits,status);CHKERRQ(ierr);}
4622   ierr = PetscFree(status);CHKERRQ(ierr);
4623 
4624   ierr = PetscFree(s_waits);CHKERRQ(ierr);
4625   ierr = PetscFree(r_waits);CHKERRQ(ierr);
4626 
4627   /* insert mat values of mpimat */
4628   /*----------------------------*/
4629   ierr = PetscMalloc(N*sizeof(PetscScalar),&ba_i);CHKERRQ(ierr);
4630   ierr = PetscMalloc3(merge->nrecv,PetscInt*,&buf_ri_k,merge->nrecv,PetscInt*,&nextrow,merge->nrecv,PetscInt*,&nextai);CHKERRQ(ierr);
4631 
4632   for (k=0; k<merge->nrecv; k++) {
4633     buf_ri_k[k] = buf_ri[k]; /* beginning of k-th recved i-structure */
4634     nrows       = *(buf_ri_k[k]);
4635     nextrow[k]  = buf_ri_k[k]+1;  /* next row number of k-th recved i-structure */
4636     nextai[k]   = buf_ri_k[k] + (nrows + 1); /* poins to the next i-structure of k-th recved i-structure  */
4637   }
4638 
4639   /* set values of ba */
4640   m = merge->rowmap->n;
4641   for (i=0; i<m; i++) {
4642     arow = owners[rank] + i;
4643     bj_i = bj+bi[i];  /* col indices of the i-th row of mpimat */
4644     bnzi = bi[i+1] - bi[i];
4645     ierr = PetscMemzero(ba_i,bnzi*sizeof(PetscScalar));CHKERRQ(ierr);
4646 
4647     /* add local non-zero vals of this proc's seqmat into ba */
4648     anzi   = ai[arow+1] - ai[arow];
4649     aj     = a->j + ai[arow];
4650     aa     = a->a + ai[arow];
4651     nextaj = 0;
4652     for (j=0; nextaj<anzi; j++) {
4653       if (*(bj_i + j) == aj[nextaj]) { /* bcol == acol */
4654         ba_i[j] += aa[nextaj++];
4655       }
4656     }
4657 
4658     /* add received vals into ba */
4659     for (k=0; k<merge->nrecv; k++) { /* k-th received message */
4660       /* i-th row */
4661       if (i == *nextrow[k]) {
4662         anzi   = *(nextai[k]+1) - *nextai[k];
4663         aj     = buf_rj[k] + *(nextai[k]);
4664         aa     = abuf_r[k] + *(nextai[k]);
4665         nextaj = 0;
4666         for (j=0; nextaj<anzi; j++) {
4667           if (*(bj_i + j) == aj[nextaj]) { /* bcol == acol */
4668             ba_i[j] += aa[nextaj++];
4669           }
4670         }
4671         nextrow[k]++; nextai[k]++;
4672       }
4673     }
4674     ierr = MatSetValues(mpimat,1,&arow,bnzi,bj_i,ba_i,INSERT_VALUES);CHKERRQ(ierr);
4675   }
4676   ierr = MatAssemblyBegin(mpimat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4677   ierr = MatAssemblyEnd(mpimat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4678 
4679   ierr = PetscFree(abuf_r[0]);CHKERRQ(ierr);
4680   ierr = PetscFree(abuf_r);CHKERRQ(ierr);
4681   ierr = PetscFree(ba_i);CHKERRQ(ierr);
4682   ierr = PetscFree3(buf_ri_k,nextrow,nextai);CHKERRQ(ierr);
4683   ierr = PetscLogEventEnd(MAT_Seqstompinum,seqmat,0,0,0);CHKERRQ(ierr);
4684   PetscFunctionReturn(0);
4685 }
4686 
4687 extern PetscErrorCode  MatDestroy_MPIAIJ_SeqsToMPI(Mat);
4688 
4689 #undef __FUNCT__
4690 #define __FUNCT__ "MatCreateMPIAIJSumSeqAIJSymbolic"
4691 PetscErrorCode  MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm comm,Mat seqmat,PetscInt m,PetscInt n,Mat *mpimat)
4692 {
4693   PetscErrorCode      ierr;
4694   Mat                 B_mpi;
4695   Mat_SeqAIJ          *a=(Mat_SeqAIJ*)seqmat->data;
4696   PetscMPIInt         size,rank,tagi,tagj,*len_s,*len_si,*len_ri;
4697   PetscInt            **buf_rj,**buf_ri,**buf_ri_k;
4698   PetscInt            M=seqmat->rmap->n,N=seqmat->cmap->n,i,*owners,*ai=a->i,*aj=a->j;
4699   PetscInt            len,proc,*dnz,*onz,bs,cbs;
4700   PetscInt            k,anzi,*bi,*bj,*lnk,nlnk,arow,bnzi,nspacedouble=0;
4701   PetscInt            nrows,*buf_s,*buf_si,*buf_si_i,**nextrow,**nextai;
4702   MPI_Request         *si_waits,*sj_waits,*ri_waits,*rj_waits;
4703   MPI_Status          *status;
4704   PetscFreeSpaceList  free_space=NULL,current_space=NULL;
4705   PetscBT             lnkbt;
4706   Mat_Merge_SeqsToMPI *merge;
4707   PetscContainer      container;
4708 
4709   PetscFunctionBegin;
4710   ierr = PetscLogEventBegin(MAT_Seqstompisym,seqmat,0,0,0);CHKERRQ(ierr);
4711 
4712   /* make sure it is a PETSc comm */
4713   ierr = PetscCommDuplicate(comm,&comm,NULL);CHKERRQ(ierr);
4714   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4715   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
4716 
4717   ierr = PetscNew(Mat_Merge_SeqsToMPI,&merge);CHKERRQ(ierr);
4718   ierr = PetscMalloc(size*sizeof(MPI_Status),&status);CHKERRQ(ierr);
4719 
4720   /* determine row ownership */
4721   /*---------------------------------------------------------*/
4722   ierr = PetscLayoutCreate(comm,&merge->rowmap);CHKERRQ(ierr);
4723   ierr = PetscLayoutSetLocalSize(merge->rowmap,m);CHKERRQ(ierr);
4724   ierr = PetscLayoutSetSize(merge->rowmap,M);CHKERRQ(ierr);
4725   ierr = PetscLayoutSetBlockSize(merge->rowmap,1);CHKERRQ(ierr);
4726   ierr = PetscLayoutSetUp(merge->rowmap);CHKERRQ(ierr);
4727   ierr = PetscMalloc(size*sizeof(PetscMPIInt),&len_si);CHKERRQ(ierr);
4728   ierr = PetscMalloc(size*sizeof(PetscMPIInt),&merge->len_s);CHKERRQ(ierr);
4729 
4730   m      = merge->rowmap->n;
4731   owners = merge->rowmap->range;
4732 
4733   /* determine the number of messages to send, their lengths */
4734   /*---------------------------------------------------------*/
4735   len_s = merge->len_s;
4736 
4737   len          = 0; /* length of buf_si[] */
4738   merge->nsend = 0;
4739   for (proc=0; proc<size; proc++) {
4740     len_si[proc] = 0;
4741     if (proc == rank) {
4742       len_s[proc] = 0;
4743     } else {
4744       len_si[proc] = owners[proc+1] - owners[proc] + 1;
4745       len_s[proc]  = ai[owners[proc+1]] - ai[owners[proc]]; /* num of rows to be sent to [proc] */
4746     }
4747     if (len_s[proc]) {
4748       merge->nsend++;
4749       nrows = 0;
4750       for (i=owners[proc]; i<owners[proc+1]; i++) {
4751         if (ai[i+1] > ai[i]) nrows++;
4752       }
4753       len_si[proc] = 2*(nrows+1);
4754       len         += len_si[proc];
4755     }
4756   }
4757 
4758   /* determine the number and length of messages to receive for ij-structure */
4759   /*-------------------------------------------------------------------------*/
4760   ierr = PetscGatherNumberOfMessages(comm,NULL,len_s,&merge->nrecv);CHKERRQ(ierr);
4761   ierr = PetscGatherMessageLengths2(comm,merge->nsend,merge->nrecv,len_s,len_si,&merge->id_r,&merge->len_r,&len_ri);CHKERRQ(ierr);
4762 
4763   /* post the Irecv of j-structure */
4764   /*-------------------------------*/
4765   ierr = PetscCommGetNewTag(comm,&tagj);CHKERRQ(ierr);
4766   ierr = PetscPostIrecvInt(comm,tagj,merge->nrecv,merge->id_r,merge->len_r,&buf_rj,&rj_waits);CHKERRQ(ierr);
4767 
4768   /* post the Isend of j-structure */
4769   /*--------------------------------*/
4770   ierr = PetscMalloc2(merge->nsend,MPI_Request,&si_waits,merge->nsend,MPI_Request,&sj_waits);CHKERRQ(ierr);
4771 
4772   for (proc=0, k=0; proc<size; proc++) {
4773     if (!len_s[proc]) continue;
4774     i    = owners[proc];
4775     ierr = MPI_Isend(aj+ai[i],len_s[proc],MPIU_INT,proc,tagj,comm,sj_waits+k);CHKERRQ(ierr);
4776     k++;
4777   }
4778 
4779   /* receives and sends of j-structure are complete */
4780   /*------------------------------------------------*/
4781   if (merge->nrecv) {ierr = MPI_Waitall(merge->nrecv,rj_waits,status);CHKERRQ(ierr);}
4782   if (merge->nsend) {ierr = MPI_Waitall(merge->nsend,sj_waits,status);CHKERRQ(ierr);}
4783 
4784   /* send and recv i-structure */
4785   /*---------------------------*/
4786   ierr = PetscCommGetNewTag(comm,&tagi);CHKERRQ(ierr);
4787   ierr = PetscPostIrecvInt(comm,tagi,merge->nrecv,merge->id_r,len_ri,&buf_ri,&ri_waits);CHKERRQ(ierr);
4788 
4789   ierr   = PetscMalloc((len+1)*sizeof(PetscInt),&buf_s);CHKERRQ(ierr);
4790   buf_si = buf_s;  /* points to the beginning of k-th msg to be sent */
4791   for (proc=0,k=0; proc<size; proc++) {
4792     if (!len_s[proc]) continue;
4793     /* form outgoing message for i-structure:
4794          buf_si[0]:                 nrows to be sent
4795                [1:nrows]:           row index (global)
4796                [nrows+1:2*nrows+1]: i-structure index
4797     */
4798     /*-------------------------------------------*/
4799     nrows       = len_si[proc]/2 - 1;
4800     buf_si_i    = buf_si + nrows+1;
4801     buf_si[0]   = nrows;
4802     buf_si_i[0] = 0;
4803     nrows       = 0;
4804     for (i=owners[proc]; i<owners[proc+1]; i++) {
4805       anzi = ai[i+1] - ai[i];
4806       if (anzi) {
4807         buf_si_i[nrows+1] = buf_si_i[nrows] + anzi; /* i-structure */
4808         buf_si[nrows+1]   = i-owners[proc]; /* local row index */
4809         nrows++;
4810       }
4811     }
4812     ierr = MPI_Isend(buf_si,len_si[proc],MPIU_INT,proc,tagi,comm,si_waits+k);CHKERRQ(ierr);
4813     k++;
4814     buf_si += len_si[proc];
4815   }
4816 
4817   if (merge->nrecv) {ierr = MPI_Waitall(merge->nrecv,ri_waits,status);CHKERRQ(ierr);}
4818   if (merge->nsend) {ierr = MPI_Waitall(merge->nsend,si_waits,status);CHKERRQ(ierr);}
4819 
4820   ierr = PetscInfo2(seqmat,"nsend: %D, nrecv: %D\n",merge->nsend,merge->nrecv);CHKERRQ(ierr);
4821   for (i=0; i<merge->nrecv; i++) {
4822     ierr = PetscInfo3(seqmat,"recv len_ri=%D, len_rj=%D from [%D]\n",len_ri[i],merge->len_r[i],merge->id_r[i]);CHKERRQ(ierr);
4823   }
4824 
4825   ierr = PetscFree(len_si);CHKERRQ(ierr);
4826   ierr = PetscFree(len_ri);CHKERRQ(ierr);
4827   ierr = PetscFree(rj_waits);CHKERRQ(ierr);
4828   ierr = PetscFree2(si_waits,sj_waits);CHKERRQ(ierr);
4829   ierr = PetscFree(ri_waits);CHKERRQ(ierr);
4830   ierr = PetscFree(buf_s);CHKERRQ(ierr);
4831   ierr = PetscFree(status);CHKERRQ(ierr);
4832 
4833   /* compute a local seq matrix in each processor */
4834   /*----------------------------------------------*/
4835   /* allocate bi array and free space for accumulating nonzero column info */
4836   ierr  = PetscMalloc((m+1)*sizeof(PetscInt),&bi);CHKERRQ(ierr);
4837   bi[0] = 0;
4838 
4839   /* create and initialize a linked list */
4840   nlnk = N+1;
4841   ierr = PetscLLCreate(N,N,nlnk,lnk,lnkbt);CHKERRQ(ierr);
4842 
4843   /* initial FreeSpace size is 2*(num of local nnz(seqmat)) */
4844   len  = ai[owners[rank+1]] - ai[owners[rank]];
4845   ierr = PetscFreeSpaceGet((PetscInt)(2*len+1),&free_space);CHKERRQ(ierr);
4846 
4847   current_space = free_space;
4848 
4849   /* determine symbolic info for each local row */
4850   ierr = PetscMalloc3(merge->nrecv,PetscInt*,&buf_ri_k,merge->nrecv,PetscInt*,&nextrow,merge->nrecv,PetscInt*,&nextai);CHKERRQ(ierr);
4851 
4852   for (k=0; k<merge->nrecv; k++) {
4853     buf_ri_k[k] = buf_ri[k]; /* beginning of k-th recved i-structure */
4854     nrows       = *buf_ri_k[k];
4855     nextrow[k]  = buf_ri_k[k] + 1;  /* next row number of k-th recved i-structure */
4856     nextai[k]   = buf_ri_k[k] + (nrows + 1); /* poins to the next i-structure of k-th recved i-structure  */
4857   }
4858 
4859   ierr = MatPreallocateInitialize(comm,m,n,dnz,onz);CHKERRQ(ierr);
4860   len  = 0;
4861   for (i=0; i<m; i++) {
4862     bnzi = 0;
4863     /* add local non-zero cols of this proc's seqmat into lnk */
4864     arow  = owners[rank] + i;
4865     anzi  = ai[arow+1] - ai[arow];
4866     aj    = a->j + ai[arow];
4867     ierr  = PetscLLAddSorted(anzi,aj,N,nlnk,lnk,lnkbt);CHKERRQ(ierr);
4868     bnzi += nlnk;
4869     /* add received col data into lnk */
4870     for (k=0; k<merge->nrecv; k++) { /* k-th received message */
4871       if (i == *nextrow[k]) { /* i-th row */
4872         anzi  = *(nextai[k]+1) - *nextai[k];
4873         aj    = buf_rj[k] + *nextai[k];
4874         ierr  = PetscLLAddSorted(anzi,aj,N,nlnk,lnk,lnkbt);CHKERRQ(ierr);
4875         bnzi += nlnk;
4876         nextrow[k]++; nextai[k]++;
4877       }
4878     }
4879     if (len < bnzi) len = bnzi;  /* =max(bnzi) */
4880 
4881     /* if free space is not available, make more free space */
4882     if (current_space->local_remaining<bnzi) {
4883       ierr = PetscFreeSpaceGet(bnzi+current_space->total_array_size,&current_space);CHKERRQ(ierr);
4884       nspacedouble++;
4885     }
4886     /* copy data into free space, then initialize lnk */
4887     ierr = PetscLLClean(N,N,bnzi,lnk,current_space->array,lnkbt);CHKERRQ(ierr);
4888     ierr = MatPreallocateSet(i+owners[rank],bnzi,current_space->array,dnz,onz);CHKERRQ(ierr);
4889 
4890     current_space->array           += bnzi;
4891     current_space->local_used      += bnzi;
4892     current_space->local_remaining -= bnzi;
4893 
4894     bi[i+1] = bi[i] + bnzi;
4895   }
4896 
4897   ierr = PetscFree3(buf_ri_k,nextrow,nextai);CHKERRQ(ierr);
4898 
4899   ierr = PetscMalloc((bi[m]+1)*sizeof(PetscInt),&bj);CHKERRQ(ierr);
4900   ierr = PetscFreeSpaceContiguous(&free_space,bj);CHKERRQ(ierr);
4901   ierr = PetscLLDestroy(lnk,lnkbt);CHKERRQ(ierr);
4902 
4903   /* create symbolic parallel matrix B_mpi */
4904   /*---------------------------------------*/
4905   ierr = MatGetBlockSizes(seqmat,&bs,&cbs);CHKERRQ(ierr);
4906   ierr = MatCreate(comm,&B_mpi);CHKERRQ(ierr);
4907   if (n==PETSC_DECIDE) {
4908     ierr = MatSetSizes(B_mpi,m,n,PETSC_DETERMINE,N);CHKERRQ(ierr);
4909   } else {
4910     ierr = MatSetSizes(B_mpi,m,n,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
4911   }
4912   ierr = MatSetBlockSizes(B_mpi,bs,cbs);CHKERRQ(ierr);
4913   ierr = MatSetType(B_mpi,MATMPIAIJ);CHKERRQ(ierr);
4914   ierr = MatMPIAIJSetPreallocation(B_mpi,0,dnz,0,onz);CHKERRQ(ierr);
4915   ierr = MatPreallocateFinalize(dnz,onz);CHKERRQ(ierr);
4916   ierr = MatSetOption(B_mpi,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);
4917 
4918   /* B_mpi is not ready for use - assembly will be done by MatCreateMPIAIJSumSeqAIJNumeric() */
4919   B_mpi->assembled    = PETSC_FALSE;
4920   B_mpi->ops->destroy = MatDestroy_MPIAIJ_SeqsToMPI;
4921   merge->bi           = bi;
4922   merge->bj           = bj;
4923   merge->buf_ri       = buf_ri;
4924   merge->buf_rj       = buf_rj;
4925   merge->coi          = NULL;
4926   merge->coj          = NULL;
4927   merge->owners_co    = NULL;
4928 
4929   ierr = PetscCommDestroy(&comm);CHKERRQ(ierr);
4930 
4931   /* attach the supporting struct to B_mpi for reuse */
4932   ierr    = PetscContainerCreate(PETSC_COMM_SELF,&container);CHKERRQ(ierr);
4933   ierr    = PetscContainerSetPointer(container,merge);CHKERRQ(ierr);
4934   ierr    = PetscObjectCompose((PetscObject)B_mpi,"MatMergeSeqsToMPI",(PetscObject)container);CHKERRQ(ierr);
4935   ierr    = PetscContainerDestroy(&container);CHKERRQ(ierr);
4936   *mpimat = B_mpi;
4937 
4938   ierr = PetscLogEventEnd(MAT_Seqstompisym,seqmat,0,0,0);CHKERRQ(ierr);
4939   PetscFunctionReturn(0);
4940 }
4941 
4942 #undef __FUNCT__
4943 #define __FUNCT__ "MatCreateMPIAIJSumSeqAIJ"
4944 /*@C
4945       MatCreateMPIAIJSumSeqAIJ - Creates a MPIAIJ matrix by adding sequential
4946                  matrices from each processor
4947 
4948     Collective on MPI_Comm
4949 
4950    Input Parameters:
4951 +    comm - the communicators the parallel matrix will live on
4952 .    seqmat - the input sequential matrices
4953 .    m - number of local rows (or PETSC_DECIDE)
4954 .    n - number of local columns (or PETSC_DECIDE)
4955 -    scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
4956 
4957    Output Parameter:
4958 .    mpimat - the parallel matrix generated
4959 
4960     Level: advanced
4961 
4962    Notes:
4963      The dimensions of the sequential matrix in each processor MUST be the same.
4964      The input seqmat is included into the container "Mat_Merge_SeqsToMPI", and will be
4965      destroyed when mpimat is destroyed. Call PetscObjectQuery() to access seqmat.
4966 @*/
4967 PetscErrorCode  MatCreateMPIAIJSumSeqAIJ(MPI_Comm comm,Mat seqmat,PetscInt m,PetscInt n,MatReuse scall,Mat *mpimat)
4968 {
4969   PetscErrorCode ierr;
4970   PetscMPIInt    size;
4971 
4972   PetscFunctionBegin;
4973   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4974   if (size == 1) {
4975     ierr = PetscLogEventBegin(MAT_Seqstompi,seqmat,0,0,0);CHKERRQ(ierr);
4976     if (scall == MAT_INITIAL_MATRIX) {
4977       ierr = MatDuplicate(seqmat,MAT_COPY_VALUES,mpimat);CHKERRQ(ierr);
4978     } else {
4979       ierr = MatCopy(seqmat,*mpimat,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
4980     }
4981     ierr = PetscLogEventEnd(MAT_Seqstompi,seqmat,0,0,0);CHKERRQ(ierr);
4982     PetscFunctionReturn(0);
4983   }
4984   ierr = PetscLogEventBegin(MAT_Seqstompi,seqmat,0,0,0);CHKERRQ(ierr);
4985   if (scall == MAT_INITIAL_MATRIX) {
4986     ierr = MatCreateMPIAIJSumSeqAIJSymbolic(comm,seqmat,m,n,mpimat);CHKERRQ(ierr);
4987   }
4988   ierr = MatCreateMPIAIJSumSeqAIJNumeric(seqmat,*mpimat);CHKERRQ(ierr);
4989   ierr = PetscLogEventEnd(MAT_Seqstompi,seqmat,0,0,0);CHKERRQ(ierr);
4990   PetscFunctionReturn(0);
4991 }
4992 
4993 #undef __FUNCT__
4994 #define __FUNCT__ "MatMPIAIJGetLocalMat"
4995 /*@
4996      MatMPIAIJGetLocalMat - Creates a SeqAIJ from a MPIAIJ matrix by taking all its local rows and putting them into a sequential vector with
4997           mlocal rows and n columns. Where mlocal is the row count obtained with MatGetLocalSize() and n is the global column count obtained
4998           with MatGetSize()
4999 
5000     Not Collective
5001 
5002    Input Parameters:
5003 +    A - the matrix
5004 .    scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
5005 
5006    Output Parameter:
5007 .    A_loc - the local sequential matrix generated
5008 
5009     Level: developer
5010 
5011 .seealso: MatGetOwnerShipRange(), MatMPIAIJGetLocalMatCondensed()
5012 
5013 @*/
5014 PetscErrorCode  MatMPIAIJGetLocalMat(Mat A,MatReuse scall,Mat *A_loc)
5015 {
5016   PetscErrorCode ierr;
5017   Mat_MPIAIJ     *mpimat=(Mat_MPIAIJ*)A->data;
5018   Mat_SeqAIJ     *mat,*a=(Mat_SeqAIJ*)(mpimat->A)->data,*b=(Mat_SeqAIJ*)(mpimat->B)->data;
5019   PetscInt       *ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j,*cmap=mpimat->garray;
5020   MatScalar      *aa=a->a,*ba=b->a,*cam;
5021   PetscScalar    *ca;
5022   PetscInt       am=A->rmap->n,i,j,k,cstart=A->cmap->rstart;
5023   PetscInt       *ci,*cj,col,ncols_d,ncols_o,jo;
5024   PetscBool      match;
5025 
5026   PetscFunctionBegin;
5027   ierr = PetscObjectTypeCompare((PetscObject)A,MATMPIAIJ,&match);CHKERRQ(ierr);
5028   if (!match) SETERRQ(PetscObjectComm((PetscObject)A), PETSC_ERR_SUP,"Requires MPIAIJ matrix as input");
5029   ierr = PetscLogEventBegin(MAT_Getlocalmat,A,0,0,0);CHKERRQ(ierr);
5030   if (scall == MAT_INITIAL_MATRIX) {
5031     ierr  = PetscMalloc((1+am)*sizeof(PetscInt),&ci);CHKERRQ(ierr);
5032     ci[0] = 0;
5033     for (i=0; i<am; i++) {
5034       ci[i+1] = ci[i] + (ai[i+1] - ai[i]) + (bi[i+1] - bi[i]);
5035     }
5036     ierr = PetscMalloc((1+ci[am])*sizeof(PetscInt),&cj);CHKERRQ(ierr);
5037     ierr = PetscMalloc((1+ci[am])*sizeof(PetscScalar),&ca);CHKERRQ(ierr);
5038     k    = 0;
5039     for (i=0; i<am; i++) {
5040       ncols_o = bi[i+1] - bi[i];
5041       ncols_d = ai[i+1] - ai[i];
5042       /* off-diagonal portion of A */
5043       for (jo=0; jo<ncols_o; jo++) {
5044         col = cmap[*bj];
5045         if (col >= cstart) break;
5046         cj[k]   = col; bj++;
5047         ca[k++] = *ba++;
5048       }
5049       /* diagonal portion of A */
5050       for (j=0; j<ncols_d; j++) {
5051         cj[k]   = cstart + *aj++;
5052         ca[k++] = *aa++;
5053       }
5054       /* off-diagonal portion of A */
5055       for (j=jo; j<ncols_o; j++) {
5056         cj[k]   = cmap[*bj++];
5057         ca[k++] = *ba++;
5058       }
5059     }
5060     /* put together the new matrix */
5061     ierr = MatCreateSeqAIJWithArrays(PETSC_COMM_SELF,am,A->cmap->N,ci,cj,ca,A_loc);CHKERRQ(ierr);
5062     /* MatCreateSeqAIJWithArrays flags matrix so PETSc doesn't free the user's arrays. */
5063     /* Since these are PETSc arrays, change flags to free them as necessary. */
5064     mat          = (Mat_SeqAIJ*)(*A_loc)->data;
5065     mat->free_a  = PETSC_TRUE;
5066     mat->free_ij = PETSC_TRUE;
5067     mat->nonew   = 0;
5068   } else if (scall == MAT_REUSE_MATRIX) {
5069     mat=(Mat_SeqAIJ*)(*A_loc)->data;
5070     ci = mat->i; cj = mat->j; cam = mat->a;
5071     for (i=0; i<am; i++) {
5072       /* off-diagonal portion of A */
5073       ncols_o = bi[i+1] - bi[i];
5074       for (jo=0; jo<ncols_o; jo++) {
5075         col = cmap[*bj];
5076         if (col >= cstart) break;
5077         *cam++ = *ba++; bj++;
5078       }
5079       /* diagonal portion of A */
5080       ncols_d = ai[i+1] - ai[i];
5081       for (j=0; j<ncols_d; j++) *cam++ = *aa++;
5082       /* off-diagonal portion of A */
5083       for (j=jo; j<ncols_o; j++) {
5084         *cam++ = *ba++; bj++;
5085       }
5086     }
5087   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Invalid MatReuse %d",(int)scall);
5088   ierr = PetscLogEventEnd(MAT_Getlocalmat,A,0,0,0);CHKERRQ(ierr);
5089   PetscFunctionReturn(0);
5090 }
5091 
5092 #undef __FUNCT__
5093 #define __FUNCT__ "MatMPIAIJGetLocalMatCondensed"
5094 /*@C
5095      MatMPIAIJGetLocalMatCondensed - Creates a SeqAIJ matrix from an MPIAIJ matrix by taking all its local rows and NON-ZERO columns
5096 
5097     Not Collective
5098 
5099    Input Parameters:
5100 +    A - the matrix
5101 .    scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
5102 -    row, col - index sets of rows and columns to extract (or NULL)
5103 
5104    Output Parameter:
5105 .    A_loc - the local sequential matrix generated
5106 
5107     Level: developer
5108 
5109 .seealso: MatGetOwnershipRange(), MatMPIAIJGetLocalMat()
5110 
5111 @*/
5112 PetscErrorCode  MatMPIAIJGetLocalMatCondensed(Mat A,MatReuse scall,IS *row,IS *col,Mat *A_loc)
5113 {
5114   Mat_MPIAIJ     *a=(Mat_MPIAIJ*)A->data;
5115   PetscErrorCode ierr;
5116   PetscInt       i,start,end,ncols,nzA,nzB,*cmap,imark,*idx;
5117   IS             isrowa,iscola;
5118   Mat            *aloc;
5119   PetscBool      match;
5120 
5121   PetscFunctionBegin;
5122   ierr = PetscObjectTypeCompare((PetscObject)A,MATMPIAIJ,&match);CHKERRQ(ierr);
5123   if (!match) SETERRQ(PetscObjectComm((PetscObject)A), PETSC_ERR_SUP,"Requires MPIAIJ matrix as input");
5124   ierr = PetscLogEventBegin(MAT_Getlocalmatcondensed,A,0,0,0);CHKERRQ(ierr);
5125   if (!row) {
5126     start = A->rmap->rstart; end = A->rmap->rend;
5127     ierr  = ISCreateStride(PETSC_COMM_SELF,end-start,start,1,&isrowa);CHKERRQ(ierr);
5128   } else {
5129     isrowa = *row;
5130   }
5131   if (!col) {
5132     start = A->cmap->rstart;
5133     cmap  = a->garray;
5134     nzA   = a->A->cmap->n;
5135     nzB   = a->B->cmap->n;
5136     ierr  = PetscMalloc((nzA+nzB)*sizeof(PetscInt), &idx);CHKERRQ(ierr);
5137     ncols = 0;
5138     for (i=0; i<nzB; i++) {
5139       if (cmap[i] < start) idx[ncols++] = cmap[i];
5140       else break;
5141     }
5142     imark = i;
5143     for (i=0; i<nzA; i++) idx[ncols++] = start + i;
5144     for (i=imark; i<nzB; i++) idx[ncols++] = cmap[i];
5145     ierr = ISCreateGeneral(PETSC_COMM_SELF,ncols,idx,PETSC_OWN_POINTER,&iscola);CHKERRQ(ierr);
5146   } else {
5147     iscola = *col;
5148   }
5149   if (scall != MAT_INITIAL_MATRIX) {
5150     ierr    = PetscMalloc(sizeof(Mat),&aloc);CHKERRQ(ierr);
5151     aloc[0] = *A_loc;
5152   }
5153   ierr   = MatGetSubMatrices(A,1,&isrowa,&iscola,scall,&aloc);CHKERRQ(ierr);
5154   *A_loc = aloc[0];
5155   ierr   = PetscFree(aloc);CHKERRQ(ierr);
5156   if (!row) {
5157     ierr = ISDestroy(&isrowa);CHKERRQ(ierr);
5158   }
5159   if (!col) {
5160     ierr = ISDestroy(&iscola);CHKERRQ(ierr);
5161   }
5162   ierr = PetscLogEventEnd(MAT_Getlocalmatcondensed,A,0,0,0);CHKERRQ(ierr);
5163   PetscFunctionReturn(0);
5164 }
5165 
5166 #undef __FUNCT__
5167 #define __FUNCT__ "MatGetBrowsOfAcols"
5168 /*@C
5169     MatGetBrowsOfAcols - Creates a SeqAIJ matrix by taking rows of B that equal to nonzero columns of local A
5170 
5171     Collective on Mat
5172 
5173    Input Parameters:
5174 +    A,B - the matrices in mpiaij format
5175 .    scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
5176 -    rowb, colb - index sets of rows and columns of B to extract (or NULL)
5177 
5178    Output Parameter:
5179 +    rowb, colb - index sets of rows and columns of B to extract
5180 -    B_seq - the sequential matrix generated
5181 
5182     Level: developer
5183 
5184 @*/
5185 PetscErrorCode  MatGetBrowsOfAcols(Mat A,Mat B,MatReuse scall,IS *rowb,IS *colb,Mat *B_seq)
5186 {
5187   Mat_MPIAIJ     *a=(Mat_MPIAIJ*)A->data;
5188   PetscErrorCode ierr;
5189   PetscInt       *idx,i,start,ncols,nzA,nzB,*cmap,imark;
5190   IS             isrowb,iscolb;
5191   Mat            *bseq=NULL;
5192 
5193   PetscFunctionBegin;
5194   if (A->cmap->rstart != B->rmap->rstart || A->cmap->rend != B->rmap->rend) {
5195     SETERRQ4(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Matrix local dimensions are incompatible, (%D, %D) != (%D,%D)",A->cmap->rstart,A->cmap->rend,B->rmap->rstart,B->rmap->rend);
5196   }
5197   ierr = PetscLogEventBegin(MAT_GetBrowsOfAcols,A,B,0,0);CHKERRQ(ierr);
5198 
5199   if (scall == MAT_INITIAL_MATRIX) {
5200     start = A->cmap->rstart;
5201     cmap  = a->garray;
5202     nzA   = a->A->cmap->n;
5203     nzB   = a->B->cmap->n;
5204     ierr  = PetscMalloc((nzA+nzB)*sizeof(PetscInt), &idx);CHKERRQ(ierr);
5205     ncols = 0;
5206     for (i=0; i<nzB; i++) {  /* row < local row index */
5207       if (cmap[i] < start) idx[ncols++] = cmap[i];
5208       else break;
5209     }
5210     imark = i;
5211     for (i=0; i<nzA; i++) idx[ncols++] = start + i;  /* local rows */
5212     for (i=imark; i<nzB; i++) idx[ncols++] = cmap[i]; /* row > local row index */
5213     ierr = ISCreateGeneral(PETSC_COMM_SELF,ncols,idx,PETSC_OWN_POINTER,&isrowb);CHKERRQ(ierr);
5214     ierr = ISCreateStride(PETSC_COMM_SELF,B->cmap->N,0,1,&iscolb);CHKERRQ(ierr);
5215   } else {
5216     if (!rowb || !colb) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"IS rowb and colb must be provided for MAT_REUSE_MATRIX");
5217     isrowb  = *rowb; iscolb = *colb;
5218     ierr    = PetscMalloc(sizeof(Mat),&bseq);CHKERRQ(ierr);
5219     bseq[0] = *B_seq;
5220   }
5221   ierr   = MatGetSubMatrices(B,1,&isrowb,&iscolb,scall,&bseq);CHKERRQ(ierr);
5222   *B_seq = bseq[0];
5223   ierr   = PetscFree(bseq);CHKERRQ(ierr);
5224   if (!rowb) {
5225     ierr = ISDestroy(&isrowb);CHKERRQ(ierr);
5226   } else {
5227     *rowb = isrowb;
5228   }
5229   if (!colb) {
5230     ierr = ISDestroy(&iscolb);CHKERRQ(ierr);
5231   } else {
5232     *colb = iscolb;
5233   }
5234   ierr = PetscLogEventEnd(MAT_GetBrowsOfAcols,A,B,0,0);CHKERRQ(ierr);
5235   PetscFunctionReturn(0);
5236 }
5237 
5238 #undef __FUNCT__
5239 #define __FUNCT__ "MatGetBrowsOfAoCols_MPIAIJ"
5240 /*
5241     MatGetBrowsOfAoCols_MPIAIJ - Creates a SeqAIJ matrix by taking rows of B that equal to nonzero columns
5242     of the OFF-DIAGONAL portion of local A
5243 
5244     Collective on Mat
5245 
5246    Input Parameters:
5247 +    A,B - the matrices in mpiaij format
5248 -    scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
5249 
5250    Output Parameter:
5251 +    startsj_s - starting point in B's sending j-arrays, saved for MAT_REUSE (or NULL)
5252 .    startsj_r - starting point in B's receiving j-arrays, saved for MAT_REUSE (or NULL)
5253 .    bufa_ptr - array for sending matrix values, saved for MAT_REUSE (or NULL)
5254 -    B_oth - the sequential matrix generated with size aBn=a->B->cmap->n by B->cmap->N
5255 
5256     Level: developer
5257 
5258 */
5259 PetscErrorCode  MatGetBrowsOfAoCols_MPIAIJ(Mat A,Mat B,MatReuse scall,PetscInt **startsj_s,PetscInt **startsj_r,MatScalar **bufa_ptr,Mat *B_oth)
5260 {
5261   VecScatter_MPI_General *gen_to,*gen_from;
5262   PetscErrorCode         ierr;
5263   Mat_MPIAIJ             *a=(Mat_MPIAIJ*)A->data;
5264   Mat_SeqAIJ             *b_oth;
5265   VecScatter             ctx =a->Mvctx;
5266   MPI_Comm               comm;
5267   PetscMPIInt            *rprocs,*sprocs,tag=((PetscObject)ctx)->tag,rank;
5268   PetscInt               *rowlen,*bufj,*bufJ,ncols,aBn=a->B->cmap->n,row,*b_othi,*b_othj;
5269   PetscScalar            *rvalues,*svalues;
5270   MatScalar              *b_otha,*bufa,*bufA;
5271   PetscInt               i,j,k,l,ll,nrecvs,nsends,nrows,*srow,*rstarts,*rstartsj = 0,*sstarts,*sstartsj,len;
5272   MPI_Request            *rwaits = NULL,*swaits = NULL;
5273   MPI_Status             *sstatus,rstatus;
5274   PetscMPIInt            jj;
5275   PetscInt               *cols,sbs,rbs;
5276   PetscScalar            *vals;
5277 
5278   PetscFunctionBegin;
5279   ierr = PetscObjectGetComm((PetscObject)A,&comm);CHKERRQ(ierr);
5280   if (A->cmap->rstart != B->rmap->rstart || A->cmap->rend != B->rmap->rend) {
5281     SETERRQ4(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Matrix local dimensions are incompatible, (%d, %d) != (%d,%d)",A->cmap->rstart,A->cmap->rend,B->rmap->rstart,B->rmap->rend);
5282   }
5283   ierr = PetscLogEventBegin(MAT_GetBrowsOfAocols,A,B,0,0);CHKERRQ(ierr);
5284   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
5285 
5286   gen_to   = (VecScatter_MPI_General*)ctx->todata;
5287   gen_from = (VecScatter_MPI_General*)ctx->fromdata;
5288   rvalues  = gen_from->values; /* holds the length of receiving row */
5289   svalues  = gen_to->values;   /* holds the length of sending row */
5290   nrecvs   = gen_from->n;
5291   nsends   = gen_to->n;
5292 
5293   ierr    = PetscMalloc2(nrecvs,MPI_Request,&rwaits,nsends,MPI_Request,&swaits);CHKERRQ(ierr);
5294   srow    = gen_to->indices;    /* local row index to be sent */
5295   sstarts = gen_to->starts;
5296   sprocs  = gen_to->procs;
5297   sstatus = gen_to->sstatus;
5298   sbs     = gen_to->bs;
5299   rstarts = gen_from->starts;
5300   rprocs  = gen_from->procs;
5301   rbs     = gen_from->bs;
5302 
5303   if (!startsj_s || !bufa_ptr) scall = MAT_INITIAL_MATRIX;
5304   if (scall == MAT_INITIAL_MATRIX) {
5305     /* i-array */
5306     /*---------*/
5307     /*  post receives */
5308     for (i=0; i<nrecvs; i++) {
5309       rowlen = (PetscInt*)rvalues + rstarts[i]*rbs;
5310       nrows  = (rstarts[i+1]-rstarts[i])*rbs; /* num of indices to be received */
5311       ierr   = MPI_Irecv(rowlen,nrows,MPIU_INT,rprocs[i],tag,comm,rwaits+i);CHKERRQ(ierr);
5312     }
5313 
5314     /* pack the outgoing message */
5315     ierr = PetscMalloc2(nsends+1,PetscInt,&sstartsj,nrecvs+1,PetscInt,&rstartsj);CHKERRQ(ierr);
5316 
5317     sstartsj[0] = 0;
5318     rstartsj[0] = 0;
5319     len         = 0; /* total length of j or a array to be sent */
5320     k           = 0;
5321     for (i=0; i<nsends; i++) {
5322       rowlen = (PetscInt*)svalues + sstarts[i]*sbs;
5323       nrows  = sstarts[i+1]-sstarts[i]; /* num of block rows */
5324       for (j=0; j<nrows; j++) {
5325         row = srow[k] + B->rmap->range[rank]; /* global row idx */
5326         for (l=0; l<sbs; l++) {
5327           ierr = MatGetRow_MPIAIJ(B,row+l,&ncols,NULL,NULL);CHKERRQ(ierr); /* rowlength */
5328 
5329           rowlen[j*sbs+l] = ncols;
5330 
5331           len += ncols;
5332           ierr = MatRestoreRow_MPIAIJ(B,row+l,&ncols,NULL,NULL);CHKERRQ(ierr);
5333         }
5334         k++;
5335       }
5336       ierr = MPI_Isend(rowlen,nrows*sbs,MPIU_INT,sprocs[i],tag,comm,swaits+i);CHKERRQ(ierr);
5337 
5338       sstartsj[i+1] = len;  /* starting point of (i+1)-th outgoing msg in bufj and bufa */
5339     }
5340     /* recvs and sends of i-array are completed */
5341     i = nrecvs;
5342     while (i--) {
5343       ierr = MPI_Waitany(nrecvs,rwaits,&jj,&rstatus);CHKERRQ(ierr);
5344     }
5345     if (nsends) {ierr = MPI_Waitall(nsends,swaits,sstatus);CHKERRQ(ierr);}
5346 
5347     /* allocate buffers for sending j and a arrays */
5348     ierr = PetscMalloc((len+1)*sizeof(PetscInt),&bufj);CHKERRQ(ierr);
5349     ierr = PetscMalloc((len+1)*sizeof(PetscScalar),&bufa);CHKERRQ(ierr);
5350 
5351     /* create i-array of B_oth */
5352     ierr = PetscMalloc((aBn+2)*sizeof(PetscInt),&b_othi);CHKERRQ(ierr);
5353 
5354     b_othi[0] = 0;
5355     len       = 0; /* total length of j or a array to be received */
5356     k         = 0;
5357     for (i=0; i<nrecvs; i++) {
5358       rowlen = (PetscInt*)rvalues + rstarts[i]*rbs;
5359       nrows  = rbs*(rstarts[i+1]-rstarts[i]); /* num of rows to be recieved */
5360       for (j=0; j<nrows; j++) {
5361         b_othi[k+1] = b_othi[k] + rowlen[j];
5362         len        += rowlen[j]; k++;
5363       }
5364       rstartsj[i+1] = len; /* starting point of (i+1)-th incoming msg in bufj and bufa */
5365     }
5366 
5367     /* allocate space for j and a arrrays of B_oth */
5368     ierr = PetscMalloc((b_othi[aBn]+1)*sizeof(PetscInt),&b_othj);CHKERRQ(ierr);
5369     ierr = PetscMalloc((b_othi[aBn]+1)*sizeof(MatScalar),&b_otha);CHKERRQ(ierr);
5370 
5371     /* j-array */
5372     /*---------*/
5373     /*  post receives of j-array */
5374     for (i=0; i<nrecvs; i++) {
5375       nrows = rstartsj[i+1]-rstartsj[i]; /* length of the msg received */
5376       ierr  = MPI_Irecv(b_othj+rstartsj[i],nrows,MPIU_INT,rprocs[i],tag,comm,rwaits+i);CHKERRQ(ierr);
5377     }
5378 
5379     /* pack the outgoing message j-array */
5380     k = 0;
5381     for (i=0; i<nsends; i++) {
5382       nrows = sstarts[i+1]-sstarts[i]; /* num of block rows */
5383       bufJ  = bufj+sstartsj[i];
5384       for (j=0; j<nrows; j++) {
5385         row = srow[k++] + B->rmap->range[rank];  /* global row idx */
5386         for (ll=0; ll<sbs; ll++) {
5387           ierr = MatGetRow_MPIAIJ(B,row+ll,&ncols,&cols,NULL);CHKERRQ(ierr);
5388           for (l=0; l<ncols; l++) {
5389             *bufJ++ = cols[l];
5390           }
5391           ierr = MatRestoreRow_MPIAIJ(B,row+ll,&ncols,&cols,NULL);CHKERRQ(ierr);
5392         }
5393       }
5394       ierr = MPI_Isend(bufj+sstartsj[i],sstartsj[i+1]-sstartsj[i],MPIU_INT,sprocs[i],tag,comm,swaits+i);CHKERRQ(ierr);
5395     }
5396 
5397     /* recvs and sends of j-array are completed */
5398     i = nrecvs;
5399     while (i--) {
5400       ierr = MPI_Waitany(nrecvs,rwaits,&jj,&rstatus);CHKERRQ(ierr);
5401     }
5402     if (nsends) {ierr = MPI_Waitall(nsends,swaits,sstatus);CHKERRQ(ierr);}
5403   } else if (scall == MAT_REUSE_MATRIX) {
5404     sstartsj = *startsj_s;
5405     rstartsj = *startsj_r;
5406     bufa     = *bufa_ptr;
5407     b_oth    = (Mat_SeqAIJ*)(*B_oth)->data;
5408     b_otha   = b_oth->a;
5409   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE, "Matrix P does not posses an object container");
5410 
5411   /* a-array */
5412   /*---------*/
5413   /*  post receives of a-array */
5414   for (i=0; i<nrecvs; i++) {
5415     nrows = rstartsj[i+1]-rstartsj[i]; /* length of the msg received */
5416     ierr  = MPI_Irecv(b_otha+rstartsj[i],nrows,MPIU_SCALAR,rprocs[i],tag,comm,rwaits+i);CHKERRQ(ierr);
5417   }
5418 
5419   /* pack the outgoing message a-array */
5420   k = 0;
5421   for (i=0; i<nsends; i++) {
5422     nrows = sstarts[i+1]-sstarts[i]; /* num of block rows */
5423     bufA  = bufa+sstartsj[i];
5424     for (j=0; j<nrows; j++) {
5425       row = srow[k++] + B->rmap->range[rank];  /* global row idx */
5426       for (ll=0; ll<sbs; ll++) {
5427         ierr = MatGetRow_MPIAIJ(B,row+ll,&ncols,NULL,&vals);CHKERRQ(ierr);
5428         for (l=0; l<ncols; l++) {
5429           *bufA++ = vals[l];
5430         }
5431         ierr = MatRestoreRow_MPIAIJ(B,row+ll,&ncols,NULL,&vals);CHKERRQ(ierr);
5432       }
5433     }
5434     ierr = MPI_Isend(bufa+sstartsj[i],sstartsj[i+1]-sstartsj[i],MPIU_SCALAR,sprocs[i],tag,comm,swaits+i);CHKERRQ(ierr);
5435   }
5436   /* recvs and sends of a-array are completed */
5437   i = nrecvs;
5438   while (i--) {
5439     ierr = MPI_Waitany(nrecvs,rwaits,&jj,&rstatus);CHKERRQ(ierr);
5440   }
5441   if (nsends) {ierr = MPI_Waitall(nsends,swaits,sstatus);CHKERRQ(ierr);}
5442   ierr = PetscFree2(rwaits,swaits);CHKERRQ(ierr);
5443 
5444   if (scall == MAT_INITIAL_MATRIX) {
5445     /* put together the new matrix */
5446     ierr = MatCreateSeqAIJWithArrays(PETSC_COMM_SELF,aBn,B->cmap->N,b_othi,b_othj,b_otha,B_oth);CHKERRQ(ierr);
5447 
5448     /* MatCreateSeqAIJWithArrays flags matrix so PETSc doesn't free the user's arrays. */
5449     /* Since these are PETSc arrays, change flags to free them as necessary. */
5450     b_oth          = (Mat_SeqAIJ*)(*B_oth)->data;
5451     b_oth->free_a  = PETSC_TRUE;
5452     b_oth->free_ij = PETSC_TRUE;
5453     b_oth->nonew   = 0;
5454 
5455     ierr = PetscFree(bufj);CHKERRQ(ierr);
5456     if (!startsj_s || !bufa_ptr) {
5457       ierr = PetscFree2(sstartsj,rstartsj);CHKERRQ(ierr);
5458       ierr = PetscFree(bufa_ptr);CHKERRQ(ierr);
5459     } else {
5460       *startsj_s = sstartsj;
5461       *startsj_r = rstartsj;
5462       *bufa_ptr  = bufa;
5463     }
5464   }
5465   ierr = PetscLogEventEnd(MAT_GetBrowsOfAocols,A,B,0,0);CHKERRQ(ierr);
5466   PetscFunctionReturn(0);
5467 }
5468 
5469 #undef __FUNCT__
5470 #define __FUNCT__ "MatGetCommunicationStructs"
5471 /*@C
5472   MatGetCommunicationStructs - Provides access to the communication structures used in matrix-vector multiplication.
5473 
5474   Not Collective
5475 
5476   Input Parameters:
5477 . A - The matrix in mpiaij format
5478 
5479   Output Parameter:
5480 + lvec - The local vector holding off-process values from the argument to a matrix-vector product
5481 . colmap - A map from global column index to local index into lvec
5482 - multScatter - A scatter from the argument of a matrix-vector product to lvec
5483 
5484   Level: developer
5485 
5486 @*/
5487 #if defined(PETSC_USE_CTABLE)
5488 PetscErrorCode  MatGetCommunicationStructs(Mat A, Vec *lvec, PetscTable *colmap, VecScatter *multScatter)
5489 #else
5490 PetscErrorCode  MatGetCommunicationStructs(Mat A, Vec *lvec, PetscInt *colmap[], VecScatter *multScatter)
5491 #endif
5492 {
5493   Mat_MPIAIJ *a;
5494 
5495   PetscFunctionBegin;
5496   PetscValidHeaderSpecific(A, MAT_CLASSID, 1);
5497   PetscValidPointer(lvec, 2);
5498   PetscValidPointer(colmap, 3);
5499   PetscValidPointer(multScatter, 4);
5500   a = (Mat_MPIAIJ*) A->data;
5501   if (lvec) *lvec = a->lvec;
5502   if (colmap) *colmap = a->colmap;
5503   if (multScatter) *multScatter = a->Mvctx;
5504   PetscFunctionReturn(0);
5505 }
5506 
5507 PETSC_EXTERN PetscErrorCode MatConvert_MPIAIJ_MPIAIJCRL(Mat,MatType,MatReuse,Mat*);
5508 PETSC_EXTERN PetscErrorCode MatConvert_MPIAIJ_MPIAIJPERM(Mat,MatType,MatReuse,Mat*);
5509 PETSC_EXTERN PetscErrorCode MatConvert_MPIAIJ_MPISBAIJ(Mat,MatType,MatReuse,Mat*);
5510 
5511 #undef __FUNCT__
5512 #define __FUNCT__ "MatMatMultNumeric_MPIDense_MPIAIJ"
5513 /*
5514     Computes (B'*A')' since computing B*A directly is untenable
5515 
5516                n                       p                          p
5517         (              )       (              )         (                  )
5518       m (      A       )  *  n (       B      )   =   m (         C        )
5519         (              )       (              )         (                  )
5520 
5521 */
5522 PetscErrorCode MatMatMultNumeric_MPIDense_MPIAIJ(Mat A,Mat B,Mat C)
5523 {
5524   PetscErrorCode ierr;
5525   Mat            At,Bt,Ct;
5526 
5527   PetscFunctionBegin;
5528   ierr = MatTranspose(A,MAT_INITIAL_MATRIX,&At);CHKERRQ(ierr);
5529   ierr = MatTranspose(B,MAT_INITIAL_MATRIX,&Bt);CHKERRQ(ierr);
5530   ierr = MatMatMult(Bt,At,MAT_INITIAL_MATRIX,1.0,&Ct);CHKERRQ(ierr);
5531   ierr = MatDestroy(&At);CHKERRQ(ierr);
5532   ierr = MatDestroy(&Bt);CHKERRQ(ierr);
5533   ierr = MatTranspose(Ct,MAT_REUSE_MATRIX,&C);CHKERRQ(ierr);
5534   ierr = MatDestroy(&Ct);CHKERRQ(ierr);
5535   PetscFunctionReturn(0);
5536 }
5537 
5538 #undef __FUNCT__
5539 #define __FUNCT__ "MatMatMultSymbolic_MPIDense_MPIAIJ"
5540 PetscErrorCode MatMatMultSymbolic_MPIDense_MPIAIJ(Mat A,Mat B,PetscReal fill,Mat *C)
5541 {
5542   PetscErrorCode ierr;
5543   PetscInt       m=A->rmap->n,n=B->cmap->n;
5544   Mat            Cmat;
5545 
5546   PetscFunctionBegin;
5547   if (A->cmap->n != B->rmap->n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"A->cmap->n %d != B->rmap->n %d\n",A->cmap->n,B->rmap->n);
5548   ierr = MatCreate(PetscObjectComm((PetscObject)A),&Cmat);CHKERRQ(ierr);
5549   ierr = MatSetSizes(Cmat,m,n,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
5550   ierr = MatSetBlockSizes(Cmat,A->rmap->bs,B->cmap->bs);CHKERRQ(ierr);
5551   ierr = MatSetType(Cmat,MATMPIDENSE);CHKERRQ(ierr);
5552   ierr = MatMPIDenseSetPreallocation(Cmat,NULL);CHKERRQ(ierr);
5553   ierr = MatAssemblyBegin(Cmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
5554   ierr = MatAssemblyEnd(Cmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
5555 
5556   Cmat->ops->matmultnumeric = MatMatMultNumeric_MPIDense_MPIAIJ;
5557 
5558   *C = Cmat;
5559   PetscFunctionReturn(0);
5560 }
5561 
5562 /* ----------------------------------------------------------------*/
5563 #undef __FUNCT__
5564 #define __FUNCT__ "MatMatMult_MPIDense_MPIAIJ"
5565 PetscErrorCode MatMatMult_MPIDense_MPIAIJ(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
5566 {
5567   PetscErrorCode ierr;
5568 
5569   PetscFunctionBegin;
5570   if (scall == MAT_INITIAL_MATRIX) {
5571     ierr = MatMatMultSymbolic_MPIDense_MPIAIJ(A,B,fill,C);CHKERRQ(ierr);
5572   }
5573   ierr = MatMatMultNumeric_MPIDense_MPIAIJ(A,B,*C);CHKERRQ(ierr);
5574   PetscFunctionReturn(0);
5575 }
5576 
5577 #if defined(PETSC_HAVE_MUMPS)
5578 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_mumps(Mat,MatFactorType,Mat*);
5579 #endif
5580 #if defined(PETSC_HAVE_PASTIX)
5581 PETSC_EXTERN PetscErrorCode MatGetFactor_mpiaij_pastix(Mat,MatFactorType,Mat*);
5582 #endif
5583 #if defined(PETSC_HAVE_SUPERLU_DIST)
5584 PETSC_EXTERN PetscErrorCode MatGetFactor_mpiaij_superlu_dist(Mat,MatFactorType,Mat*);
5585 #endif
5586 #if defined(PETSC_HAVE_CLIQUE)
5587 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_clique(Mat,MatFactorType,Mat*);
5588 #endif
5589 
5590 /*MC
5591    MATMPIAIJ - MATMPIAIJ = "mpiaij" - A matrix type to be used for parallel sparse matrices.
5592 
5593    Options Database Keys:
5594 . -mat_type mpiaij - sets the matrix type to "mpiaij" during a call to MatSetFromOptions()
5595 
5596   Level: beginner
5597 
5598 .seealso: MatCreateAIJ()
5599 M*/
5600 
5601 #undef __FUNCT__
5602 #define __FUNCT__ "MatCreate_MPIAIJ"
5603 PETSC_EXTERN PetscErrorCode MatCreate_MPIAIJ(Mat B)
5604 {
5605   Mat_MPIAIJ     *b;
5606   PetscErrorCode ierr;
5607   PetscMPIInt    size;
5608 
5609   PetscFunctionBegin;
5610   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)B),&size);CHKERRQ(ierr);
5611 
5612   ierr          = PetscNewLog(B,Mat_MPIAIJ,&b);CHKERRQ(ierr);
5613   B->data       = (void*)b;
5614   ierr          = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
5615   B->assembled  = PETSC_FALSE;
5616   B->insertmode = NOT_SET_VALUES;
5617   b->size       = size;
5618 
5619   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)B),&b->rank);CHKERRQ(ierr);
5620 
5621   /* build cache for off array entries formed */
5622   ierr = MatStashCreate_Private(PetscObjectComm((PetscObject)B),1,&B->stash);CHKERRQ(ierr);
5623 
5624   b->donotstash  = PETSC_FALSE;
5625   b->colmap      = 0;
5626   b->garray      = 0;
5627   b->roworiented = PETSC_TRUE;
5628 
5629   /* stuff used for matrix vector multiply */
5630   b->lvec  = NULL;
5631   b->Mvctx = NULL;
5632 
5633   /* stuff for MatGetRow() */
5634   b->rowindices   = 0;
5635   b->rowvalues    = 0;
5636   b->getrowactive = PETSC_FALSE;
5637 
5638   /* flexible pointer used in CUSP/CUSPARSE classes */
5639   b->spptr = NULL;
5640 
5641 #if defined(PETSC_HAVE_MUMPS)
5642   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_mumps_C","MatGetFactor_aij_mumps",MatGetFactor_aij_mumps);CHKERRQ(ierr);
5643 #endif
5644 #if defined(PETSC_HAVE_PASTIX)
5645   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_pastix_C","MatGetFactor_mpiaij_pastix",MatGetFactor_mpiaij_pastix);CHKERRQ(ierr);
5646 #endif
5647 #if defined(PETSC_HAVE_SUPERLU_DIST)
5648   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_superlu_dist_C","MatGetFactor_mpiaij_superlu_dist",MatGetFactor_mpiaij_superlu_dist);CHKERRQ(ierr);
5649 #endif
5650 #if defined(PETSC_HAVE_CLIQUE)
5651   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetFactor_clique_C","MatGetFactor_aij_clique",MatGetFactor_aij_clique);CHKERRQ(ierr);
5652 #endif
5653   ierr = PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C","MatStoreValues_MPIAIJ",MatStoreValues_MPIAIJ);CHKERRQ(ierr);
5654   ierr = PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C","MatRetrieveValues_MPIAIJ",MatRetrieveValues_MPIAIJ);CHKERRQ(ierr);
5655   ierr = PetscObjectComposeFunction((PetscObject)B,"MatGetDiagonalBlock_C","MatGetDiagonalBlock_MPIAIJ",MatGetDiagonalBlock_MPIAIJ);CHKERRQ(ierr);
5656   ierr = PetscObjectComposeFunction((PetscObject)B,"MatIsTranspose_C","MatIsTranspose_MPIAIJ",MatIsTranspose_MPIAIJ);CHKERRQ(ierr);
5657   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPIAIJSetPreallocation_C","MatMPIAIJSetPreallocation_MPIAIJ",MatMPIAIJSetPreallocation_MPIAIJ);CHKERRQ(ierr);
5658   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMPIAIJSetPreallocationCSR_C","MatMPIAIJSetPreallocationCSR_MPIAIJ",MatMPIAIJSetPreallocationCSR_MPIAIJ);CHKERRQ(ierr);
5659   ierr = PetscObjectComposeFunction((PetscObject)B,"MatDiagonalScaleLocal_C","MatDiagonalScaleLocal_MPIAIJ",MatDiagonalScaleLocal_MPIAIJ);CHKERRQ(ierr);
5660   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpiaij_mpiaijperm_C","MatConvert_MPIAIJ_MPIAIJPERM",MatConvert_MPIAIJ_MPIAIJPERM);CHKERRQ(ierr);
5661   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpiaij_mpiaijcrl_C","MatConvert_MPIAIJ_MPIAIJCRL",MatConvert_MPIAIJ_MPIAIJCRL);CHKERRQ(ierr);
5662   ierr = PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpiaij_mpisbaij_C","MatConvert_MPIAIJ_MPISBAIJ",MatConvert_MPIAIJ_MPISBAIJ);CHKERRQ(ierr);
5663   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMult_mpidense_mpiaij_C","MatMatMult_MPIDense_MPIAIJ",MatMatMult_MPIDense_MPIAIJ);CHKERRQ(ierr);
5664   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultSymbolic_mpidense_mpiaij_C","MatMatMultSymbolic_MPIDense_MPIAIJ",MatMatMultSymbolic_MPIDense_MPIAIJ);CHKERRQ(ierr);
5665   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMatMultNumeric_mpidense_mpiaij_C","MatMatMultNumeric_MPIDense_MPIAIJ",MatMatMultNumeric_MPIDense_MPIAIJ);CHKERRQ(ierr);
5666   ierr = PetscObjectChangeTypeName((PetscObject)B,MATMPIAIJ);CHKERRQ(ierr);
5667   PetscFunctionReturn(0);
5668 }
5669 
5670 #undef __FUNCT__
5671 #define __FUNCT__ "MatCreateMPIAIJWithSplitArrays"
5672 /*@
5673      MatCreateMPIAIJWithSplitArrays - creates a MPI AIJ matrix using arrays that contain the "diagonal"
5674          and "off-diagonal" part of the matrix in CSR format.
5675 
5676    Collective on MPI_Comm
5677 
5678    Input Parameters:
5679 +  comm - MPI communicator
5680 .  m - number of local rows (Cannot be PETSC_DECIDE)
5681 .  n - This value should be the same as the local size used in creating the
5682        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
5683        calculated if N is given) For square matrices n is almost always m.
5684 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
5685 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
5686 .   i - row indices for "diagonal" portion of matrix
5687 .   j - column indices
5688 .   a - matrix values
5689 .   oi - row indices for "off-diagonal" portion of matrix
5690 .   oj - column indices
5691 -   oa - matrix values
5692 
5693    Output Parameter:
5694 .   mat - the matrix
5695 
5696    Level: advanced
5697 
5698    Notes:
5699        The i, j, and a arrays ARE NOT copied by this routine into the internal format used by PETSc. The user
5700        must free the arrays once the matrix has been destroyed and not before.
5701 
5702        The i and j indices are 0 based
5703 
5704        See MatCreateAIJ() for the definition of "diagonal" and "off-diagonal" portion of the matrix
5705 
5706        This sets local rows and cannot be used to set off-processor values.
5707 
5708        Use of this routine is discouraged because it is inflexible and cumbersome to use. It is extremely rare that a
5709        legacy application natively assembles into exactly this split format. The code to do so is nontrivial and does
5710        not easily support in-place reassembly. It is recommended to use MatSetValues() (or a variant thereof) because
5711        the resulting assembly is easier to implement, will work with any matrix format, and the user does not have to
5712        keep track of the underlying array. Use MatSetOption(A,MAT_IGNORE_OFF_PROC_ENTRIES,PETSC_TRUE) to disable all
5713        communication if it is known that only local entries will be set.
5714 
5715 .keywords: matrix, aij, compressed row, sparse, parallel
5716 
5717 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
5718           MPIAIJ, MatCreateAIJ(), MatCreateMPIAIJWithArrays()
5719 @*/
5720 PetscErrorCode  MatCreateMPIAIJWithSplitArrays(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt i[],PetscInt j[],PetscScalar a[],PetscInt oi[], PetscInt oj[],PetscScalar oa[],Mat *mat)
5721 {
5722   PetscErrorCode ierr;
5723   Mat_MPIAIJ     *maij;
5724 
5725   PetscFunctionBegin;
5726   if (m < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"local number of rows (m) cannot be PETSC_DECIDE, or negative");
5727   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
5728   if (oi[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"oi (row indices) must start with 0");
5729   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
5730   ierr = MatSetSizes(*mat,m,n,M,N);CHKERRQ(ierr);
5731   ierr = MatSetType(*mat,MATMPIAIJ);CHKERRQ(ierr);
5732   maij = (Mat_MPIAIJ*) (*mat)->data;
5733 
5734   (*mat)->preallocated = PETSC_TRUE;
5735 
5736   ierr = PetscLayoutSetUp((*mat)->rmap);CHKERRQ(ierr);
5737   ierr = PetscLayoutSetUp((*mat)->cmap);CHKERRQ(ierr);
5738 
5739   ierr = MatCreateSeqAIJWithArrays(PETSC_COMM_SELF,m,n,i,j,a,&maij->A);CHKERRQ(ierr);
5740   ierr = MatCreateSeqAIJWithArrays(PETSC_COMM_SELF,m,(*mat)->cmap->N,oi,oj,oa,&maij->B);CHKERRQ(ierr);
5741 
5742   ierr = MatAssemblyBegin(maij->A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
5743   ierr = MatAssemblyEnd(maij->A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
5744   ierr = MatAssemblyBegin(maij->B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
5745   ierr = MatAssemblyEnd(maij->B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
5746 
5747   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
5748   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
5749   ierr = MatSetOption(*mat,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
5750   PetscFunctionReturn(0);
5751 }
5752 
5753 /*
5754     Special version for direct calls from Fortran
5755 */
5756 #include <petsc-private/fortranimpl.h>
5757 
5758 #if defined(PETSC_HAVE_FORTRAN_CAPS)
5759 #define matsetvaluesmpiaij_ MATSETVALUESMPIAIJ
5760 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
5761 #define matsetvaluesmpiaij_ matsetvaluesmpiaij
5762 #endif
5763 
5764 /* Change these macros so can be used in void function */
5765 #undef CHKERRQ
5766 #define CHKERRQ(ierr) CHKERRABORT(PETSC_COMM_WORLD,ierr)
5767 #undef SETERRQ2
5768 #define SETERRQ2(comm,ierr,b,c,d) CHKERRABORT(comm,ierr)
5769 #undef SETERRQ3
5770 #define SETERRQ3(comm,ierr,b,c,d,e) CHKERRABORT(comm,ierr)
5771 #undef SETERRQ
5772 #define SETERRQ(c,ierr,b) CHKERRABORT(c,ierr)
5773 
5774 #undef __FUNCT__
5775 #define __FUNCT__ "matsetvaluesmpiaij_"
5776 PETSC_EXTERN void PETSC_STDCALL matsetvaluesmpiaij_(Mat *mmat,PetscInt *mm,const PetscInt im[],PetscInt *mn,const PetscInt in[],const PetscScalar v[],InsertMode *maddv,PetscErrorCode *_ierr)
5777 {
5778   Mat            mat  = *mmat;
5779   PetscInt       m    = *mm, n = *mn;
5780   InsertMode     addv = *maddv;
5781   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)mat->data;
5782   PetscScalar    value;
5783   PetscErrorCode ierr;
5784 
5785   MatCheckPreallocated(mat,1);
5786   if (mat->insertmode == NOT_SET_VALUES) mat->insertmode = addv;
5787 
5788 #if defined(PETSC_USE_DEBUG)
5789   else if (mat->insertmode != addv) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
5790 #endif
5791   {
5792     PetscInt  i,j,rstart  = mat->rmap->rstart,rend = mat->rmap->rend;
5793     PetscInt  cstart      = mat->cmap->rstart,cend = mat->cmap->rend,row,col;
5794     PetscBool roworiented = aij->roworiented;
5795 
5796     /* Some Variables required in the macro */
5797     Mat        A                 = aij->A;
5798     Mat_SeqAIJ *a                = (Mat_SeqAIJ*)A->data;
5799     PetscInt   *aimax            = a->imax,*ai = a->i,*ailen = a->ilen,*aj = a->j;
5800     MatScalar  *aa               = a->a;
5801     PetscBool  ignorezeroentries = (((a->ignorezeroentries)&&(addv==ADD_VALUES)) ? PETSC_TRUE : PETSC_FALSE);
5802     Mat        B                 = aij->B;
5803     Mat_SeqAIJ *b                = (Mat_SeqAIJ*)B->data;
5804     PetscInt   *bimax            = b->imax,*bi = b->i,*bilen = b->ilen,*bj = b->j,bm = aij->B->rmap->n,am = aij->A->rmap->n;
5805     MatScalar  *ba               = b->a;
5806 
5807     PetscInt  *rp1,*rp2,ii,nrow1,nrow2,_i,rmax1,rmax2,N,low1,high1,low2,high2,t,lastcol1,lastcol2;
5808     PetscInt  nonew = a->nonew;
5809     MatScalar *ap1,*ap2;
5810 
5811     PetscFunctionBegin;
5812     for (i=0; i<m; i++) {
5813       if (im[i] < 0) continue;
5814 #if defined(PETSC_USE_DEBUG)
5815       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);
5816 #endif
5817       if (im[i] >= rstart && im[i] < rend) {
5818         row      = im[i] - rstart;
5819         lastcol1 = -1;
5820         rp1      = aj + ai[row];
5821         ap1      = aa + ai[row];
5822         rmax1    = aimax[row];
5823         nrow1    = ailen[row];
5824         low1     = 0;
5825         high1    = nrow1;
5826         lastcol2 = -1;
5827         rp2      = bj + bi[row];
5828         ap2      = ba + bi[row];
5829         rmax2    = bimax[row];
5830         nrow2    = bilen[row];
5831         low2     = 0;
5832         high2    = nrow2;
5833 
5834         for (j=0; j<n; j++) {
5835           if (roworiented) value = v[i*n+j];
5836           else value = v[i+j*m];
5837           if (ignorezeroentries && value == 0.0 && (addv == ADD_VALUES)) continue;
5838           if (in[j] >= cstart && in[j] < cend) {
5839             col = in[j] - cstart;
5840             MatSetValues_SeqAIJ_A_Private(row,col,value,addv);
5841           } else if (in[j] < 0) continue;
5842 #if defined(PETSC_USE_DEBUG)
5843           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);
5844 #endif
5845           else {
5846             if (mat->was_assembled) {
5847               if (!aij->colmap) {
5848                 ierr = MatCreateColmap_MPIAIJ_Private(mat);CHKERRQ(ierr);
5849               }
5850 #if defined(PETSC_USE_CTABLE)
5851               ierr = PetscTableFind(aij->colmap,in[j]+1,&col);CHKERRQ(ierr);
5852               col--;
5853 #else
5854               col = aij->colmap[in[j]] - 1;
5855 #endif
5856               if (col < 0 && !((Mat_SeqAIJ*)(aij->A->data))->nonew) {
5857                 ierr = MatDisAssemble_MPIAIJ(mat);CHKERRQ(ierr);
5858                 col  =  in[j];
5859                 /* Reinitialize the variables required by MatSetValues_SeqAIJ_B_Private() */
5860                 B     = aij->B;
5861                 b     = (Mat_SeqAIJ*)B->data;
5862                 bimax = b->imax; bi = b->i; bilen = b->ilen; bj = b->j;
5863                 rp2   = bj + bi[row];
5864                 ap2   = ba + bi[row];
5865                 rmax2 = bimax[row];
5866                 nrow2 = bilen[row];
5867                 low2  = 0;
5868                 high2 = nrow2;
5869                 bm    = aij->B->rmap->n;
5870                 ba    = b->a;
5871               }
5872             } else col = in[j];
5873             MatSetValues_SeqAIJ_B_Private(row,col,value,addv);
5874           }
5875         }
5876       } else if (!aij->donotstash) {
5877         if (roworiented) {
5878           ierr = MatStashValuesRow_Private(&mat->stash,im[i],n,in,v+i*n,(PetscBool)(ignorezeroentries && (addv == ADD_VALUES)));CHKERRQ(ierr);
5879         } else {
5880           ierr = MatStashValuesCol_Private(&mat->stash,im[i],n,in,v+i,m,(PetscBool)(ignorezeroentries && (addv == ADD_VALUES)));CHKERRQ(ierr);
5881         }
5882       }
5883     }
5884   }
5885   PetscFunctionReturnVoid();
5886 }
5887 
5888