xref: /petsc/src/mat/impls/aij/mpi/mpiaij.c (revision bbf3fe20a13d25761406078d7bb366504465e38d)
1 
2 #include <../src/mat/impls/aij/mpi/mpiaij.h>   /*I "petscmat.h" I*/
3 #include <petscblaslapack.h>
4 
5 /*MC
6    MATAIJ - MATAIJ = "aij" - A matrix type to be used for sparse matrices.
7 
8    This matrix type is identical to MATSEQAIJ when constructed with a single process communicator,
9    and MATMPIAIJ otherwise.  As a result, for single process communicators,
10   MatSeqAIJSetPreallocation is supported, and similarly MatMPIAIJSetPreallocation is supported
11   for communicators controlling multiple processes.  It is recommended that you call both of
12   the above preallocation routines for simplicity.
13 
14    Options Database Keys:
15 . -mat_type aij - sets the matrix type to "aij" during a call to MatSetFromOptions()
16 
17   Developer Notes: Subclasses include MATAIJCUSP, MATAIJCUSPARSE, MATAIJPERM, MATAIJCRL, and also automatically switches over to use inodes when
18    enough exist.
19 
20   Level: beginner
21 
22 .seealso: MatCreateAIJ(), MatCreateSeqAIJ(), MATSEQAIJ,MATMPIAIJ
23 M*/
24 
25 /*MC
26    MATAIJCRL - MATAIJCRL = "aijcrl" - A matrix type to be used for sparse matrices.
27 
28    This matrix type is identical to MATSEQAIJCRL when constructed with a single process communicator,
29    and MATMPIAIJCRL otherwise.  As a result, for single process communicators,
30    MatSeqAIJSetPreallocation() is supported, and similarly MatMPIAIJSetPreallocation() is supported
31   for communicators controlling multiple processes.  It is recommended that you call both of
32   the above preallocation routines for simplicity.
33 
34    Options Database Keys:
35 . -mat_type aijcrl - sets the matrix type to "aijcrl" during a call to MatSetFromOptions()
36 
37   Level: beginner
38 
39 .seealso: MatCreateMPIAIJCRL,MATSEQAIJCRL,MATMPIAIJCRL, MATSEQAIJCRL, MATMPIAIJCRL
40 M*/
41 
42 #undef __FUNCT__
43 #define __FUNCT__ "MatFindNonZeroRows_MPIAIJ"
44 PetscErrorCode MatFindNonZeroRows_MPIAIJ(Mat M,IS *keptrows)
45 {
46   PetscErrorCode  ierr;
47   Mat_MPIAIJ      *mat = (Mat_MPIAIJ*)M->data;
48   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)mat->A->data;
49   Mat_SeqAIJ      *b = (Mat_SeqAIJ*)mat->B->data;
50   const PetscInt  *ia,*ib;
51   const MatScalar *aa,*bb;
52   PetscInt        na,nb,i,j,*rows,cnt=0,n0rows;
53   PetscInt        m = M->rmap->n,rstart = M->rmap->rstart;
54 
55   PetscFunctionBegin;
56   *keptrows = 0;
57   ia = a->i;
58   ib = b->i;
59   for (i=0; i<m; i++) {
60     na = ia[i+1] - ia[i];
61     nb = ib[i+1] - ib[i];
62     if (!na && !nb) {
63       cnt++;
64       goto ok1;
65     }
66     aa = a->a + ia[i];
67     for (j=0; j<na; j++) {
68       if (aa[j] != 0.0) goto ok1;
69     }
70     bb = b->a + ib[i];
71     for (j=0; j <nb; j++) {
72       if (bb[j] != 0.0) goto ok1;
73     }
74     cnt++;
75     ok1:;
76   }
77   ierr = MPI_Allreduce(&cnt,&n0rows,1,MPIU_INT,MPI_SUM,((PetscObject)M)->comm);CHKERRQ(ierr);
78   if (!n0rows) PetscFunctionReturn(0);
79   ierr = PetscMalloc((M->rmap->n-cnt)*sizeof(PetscInt),&rows);CHKERRQ(ierr);
80   cnt = 0;
81   for (i=0; i<m; i++) {
82     na = ia[i+1] - ia[i];
83     nb = ib[i+1] - ib[i];
84     if (!na && !nb) continue;
85     aa = a->a + ia[i];
86     for(j=0; j<na;j++) {
87       if (aa[j] != 0.0) {
88         rows[cnt++] = rstart + i;
89         goto ok2;
90       }
91     }
92     bb = b->a + ib[i];
93     for (j=0; j<nb; j++) {
94       if (bb[j] != 0.0) {
95         rows[cnt++] = rstart + i;
96         goto ok2;
97       }
98     }
99     ok2:;
100   }
101   ierr = ISCreateGeneral(((PetscObject)M)->comm,cnt,rows,PETSC_OWN_POINTER,keptrows);CHKERRQ(ierr);
102   PetscFunctionReturn(0);
103 }
104 
105 #undef __FUNCT__
106 #define __FUNCT__ "MatGetColumnNorms_MPIAIJ"
107 PetscErrorCode MatGetColumnNorms_MPIAIJ(Mat A,NormType type,PetscReal *norms)
108 {
109   PetscErrorCode ierr;
110   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)A->data;
111   PetscInt       i,n,*garray = aij->garray;
112   Mat_SeqAIJ     *a_aij = (Mat_SeqAIJ*) aij->A->data;
113   Mat_SeqAIJ     *b_aij = (Mat_SeqAIJ*) aij->B->data;
114   PetscReal      *work;
115 
116   PetscFunctionBegin;
117   ierr = MatGetSize(A,PETSC_NULL,&n);CHKERRQ(ierr);
118   ierr = PetscMalloc(n*sizeof(PetscReal),&work);CHKERRQ(ierr);
119   ierr = PetscMemzero(work,n*sizeof(PetscReal));CHKERRQ(ierr);
120   if (type == NORM_2) {
121     for (i=0; i<a_aij->i[aij->A->rmap->n]; i++) {
122       work[A->cmap->rstart + a_aij->j[i]] += PetscAbsScalar(a_aij->a[i]*a_aij->a[i]);
123     }
124     for (i=0; i<b_aij->i[aij->B->rmap->n]; i++) {
125       work[garray[b_aij->j[i]]] += PetscAbsScalar(b_aij->a[i]*b_aij->a[i]);
126     }
127   } else if (type == NORM_1) {
128     for (i=0; i<a_aij->i[aij->A->rmap->n]; i++) {
129       work[A->cmap->rstart + a_aij->j[i]] += PetscAbsScalar(a_aij->a[i]);
130     }
131     for (i=0; i<b_aij->i[aij->B->rmap->n]; i++) {
132       work[garray[b_aij->j[i]]] += PetscAbsScalar(b_aij->a[i]);
133     }
134   } else if (type == NORM_INFINITY) {
135     for (i=0; i<a_aij->i[aij->A->rmap->n]; i++) {
136       work[A->cmap->rstart + a_aij->j[i]] = PetscMax(PetscAbsScalar(a_aij->a[i]), work[A->cmap->rstart + a_aij->j[i]]);
137     }
138     for (i=0; i<b_aij->i[aij->B->rmap->n]; i++) {
139       work[garray[b_aij->j[i]]] = PetscMax(PetscAbsScalar(b_aij->a[i]),work[garray[b_aij->j[i]]]);
140     }
141 
142   } else SETERRQ(((PetscObject)A)->comm,PETSC_ERR_ARG_WRONG,"Unknown NormType");
143   if (type == NORM_INFINITY) {
144     ierr = MPI_Allreduce(work,norms,n,MPIU_REAL,MPIU_MAX,A->hdr.comm);CHKERRQ(ierr);
145   } else {
146     ierr = MPI_Allreduce(work,norms,n,MPIU_REAL,MPIU_SUM,A->hdr.comm);CHKERRQ(ierr);
147   }
148   ierr = PetscFree(work);CHKERRQ(ierr);
149   if (type == NORM_2) {
150     for (i=0; i<n; i++) norms[i] = PetscSqrtReal(norms[i]);
151   }
152   PetscFunctionReturn(0);
153 }
154 
155 #undef __FUNCT__
156 #define __FUNCT__ "MatDistribute_MPIAIJ"
157 /*
158     Distributes a SeqAIJ matrix across a set of processes. Code stolen from
159     MatLoad_MPIAIJ(). Horrible lack of reuse. Should be a routine for each matrix type.
160 
161     Only for square matrices
162 */
163 PetscErrorCode MatDistribute_MPIAIJ(MPI_Comm comm,Mat gmat,PetscInt m,MatReuse reuse,Mat *inmat)
164 {
165   PetscMPIInt    rank,size;
166   PetscInt       *rowners,*dlens,*olens,i,rstart,rend,j,jj,nz,*gmataj,cnt,row,*ld;
167   PetscErrorCode ierr;
168   Mat            mat;
169   Mat_SeqAIJ     *gmata;
170   PetscMPIInt    tag;
171   MPI_Status     status;
172   PetscBool      aij;
173   MatScalar      *gmataa,*ao,*ad,*gmataarestore=0;
174 
175   PetscFunctionBegin;
176   CHKMEMQ;
177   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
178   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
179   if (!rank) {
180     ierr = PetscObjectTypeCompare((PetscObject)gmat,MATSEQAIJ,&aij);CHKERRQ(ierr);
181     if (!aij) SETERRQ1(((PetscObject)gmat)->comm,PETSC_ERR_SUP,"Currently no support for input matrix of type %s\n",((PetscObject)gmat)->type_name);
182   }
183   if (reuse == MAT_INITIAL_MATRIX) {
184     ierr = MatCreate(comm,&mat);CHKERRQ(ierr);
185     ierr = MatSetSizes(mat,m,m,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
186     ierr = MatSetBlockSizes(mat,gmat->rmap->bs,gmat->cmap->bs);CHKERRQ(ierr);
187     ierr = MatSetType(mat,MATAIJ);CHKERRQ(ierr);
188     ierr = PetscMalloc((size+1)*sizeof(PetscInt),&rowners);CHKERRQ(ierr);
189     ierr = PetscMalloc2(m,PetscInt,&dlens,m,PetscInt,&olens);CHKERRQ(ierr);
190     ierr = MPI_Allgather(&m,1,MPIU_INT,rowners+1,1,MPIU_INT,comm);CHKERRQ(ierr);
191     rowners[0] = 0;
192     for (i=2; i<=size; i++) {
193       rowners[i] += rowners[i-1];
194     }
195     rstart = rowners[rank];
196     rend   = rowners[rank+1];
197     ierr   = PetscObjectGetNewTag((PetscObject)mat,&tag);CHKERRQ(ierr);
198     if (!rank) {
199       gmata = (Mat_SeqAIJ*) gmat->data;
200       /* send row lengths to all processors */
201       for (i=0; i<m; i++) dlens[i] = gmata->ilen[i];
202       for (i=1; i<size; i++) {
203 	ierr = MPI_Send(gmata->ilen + rowners[i],rowners[i+1]-rowners[i],MPIU_INT,i,tag,comm);CHKERRQ(ierr);
204       }
205       /* determine number diagonal and off-diagonal counts */
206       ierr = PetscMemzero(olens,m*sizeof(PetscInt));CHKERRQ(ierr);
207       ierr = PetscMalloc(m*sizeof(PetscInt),&ld);CHKERRQ(ierr);
208       ierr = PetscMemzero(ld,m*sizeof(PetscInt));CHKERRQ(ierr);
209       jj = 0;
210       for (i=0; i<m; i++) {
211 	for (j=0; j<dlens[i]; j++) {
212           if (gmata->j[jj] < rstart) ld[i]++;
213 	  if (gmata->j[jj] < rstart || gmata->j[jj] >= rend) olens[i]++;
214 	  jj++;
215 	}
216       }
217       /* send column indices to other processes */
218       for (i=1; i<size; i++) {
219 	nz   = gmata->i[rowners[i+1]]-gmata->i[rowners[i]];
220 	ierr = MPI_Send(&nz,1,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
221 	ierr = MPI_Send(gmata->j + gmata->i[rowners[i]],nz,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
222       }
223 
224       /* send numerical values to other processes */
225       for (i=1; i<size; i++) {
226         nz   = gmata->i[rowners[i+1]]-gmata->i[rowners[i]];
227         ierr = MPI_Send(gmata->a + gmata->i[rowners[i]],nz,MPIU_SCALAR,i,tag,comm);CHKERRQ(ierr);
228       }
229       gmataa = gmata->a;
230       gmataj = gmata->j;
231 
232     } else {
233       /* receive row lengths */
234       ierr = MPI_Recv(dlens,m,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
235       /* receive column indices */
236       ierr = MPI_Recv(&nz,1,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
237       ierr = PetscMalloc2(nz,PetscScalar,&gmataa,nz,PetscInt,&gmataj);CHKERRQ(ierr);
238       ierr = MPI_Recv(gmataj,nz,MPIU_INT,0,tag,comm,&status);CHKERRQ(ierr);
239       /* determine number diagonal and off-diagonal counts */
240       ierr = PetscMemzero(olens,m*sizeof(PetscInt));CHKERRQ(ierr);
241       ierr = PetscMalloc(m*sizeof(PetscInt),&ld);CHKERRQ(ierr);
242       ierr = PetscMemzero(ld,m*sizeof(PetscInt));CHKERRQ(ierr);
243       jj = 0;
244       for (i=0; i<m; i++) {
245 	for (j=0; j<dlens[i]; j++) {
246           if (gmataj[jj] < rstart) ld[i]++;
247 	  if (gmataj[jj] < rstart || gmataj[jj] >= rend) olens[i]++;
248 	  jj++;
249 	}
250       }
251       /* receive numerical values */
252       ierr = PetscMemzero(gmataa,nz*sizeof(PetscScalar));CHKERRQ(ierr);
253       ierr = MPI_Recv(gmataa,nz,MPIU_SCALAR,0,tag,comm,&status);CHKERRQ(ierr);
254     }
255     /* set preallocation */
256     for (i=0; i<m; i++) {
257       dlens[i] -= olens[i];
258     }
259     ierr = MatSeqAIJSetPreallocation(mat,0,dlens);CHKERRQ(ierr);
260     ierr = MatMPIAIJSetPreallocation(mat,0,dlens,0,olens);CHKERRQ(ierr);
261 
262     for (i=0; i<m; i++) {
263       dlens[i] += olens[i];
264     }
265     cnt  = 0;
266     for (i=0; i<m; i++) {
267       row  = rstart + i;
268       ierr = MatSetValues(mat,1,&row,dlens[i],gmataj+cnt,gmataa+cnt,INSERT_VALUES);CHKERRQ(ierr);
269       cnt += dlens[i];
270     }
271     if (rank) {
272       ierr = PetscFree2(gmataa,gmataj);CHKERRQ(ierr);
273     }
274     ierr = PetscFree2(dlens,olens);CHKERRQ(ierr);
275     ierr = PetscFree(rowners);CHKERRQ(ierr);
276     ((Mat_MPIAIJ*)(mat->data))->ld = ld;
277     *inmat = mat;
278   } else {   /* column indices are already set; only need to move over numerical values from process 0 */
279     Mat_SeqAIJ *Ad = (Mat_SeqAIJ*)((Mat_MPIAIJ*)((*inmat)->data))->A->data;
280     Mat_SeqAIJ *Ao = (Mat_SeqAIJ*)((Mat_MPIAIJ*)((*inmat)->data))->B->data;
281     mat   = *inmat;
282     ierr  = PetscObjectGetNewTag((PetscObject)mat,&tag);CHKERRQ(ierr);
283     if (!rank) {
284       /* send numerical values to other processes */
285       gmata = (Mat_SeqAIJ*) gmat->data;
286       ierr   = MatGetOwnershipRanges(mat,(const PetscInt**)&rowners);CHKERRQ(ierr);
287       gmataa = gmata->a;
288       for (i=1; i<size; i++) {
289         nz   = gmata->i[rowners[i+1]]-gmata->i[rowners[i]];
290         ierr = MPI_Send(gmataa + gmata->i[rowners[i]],nz,MPIU_SCALAR,i,tag,comm);CHKERRQ(ierr);
291       }
292       nz   = gmata->i[rowners[1]]-gmata->i[rowners[0]];
293     } else {
294       /* receive numerical values from process 0*/
295       nz   = Ad->nz + Ao->nz;
296       ierr = PetscMalloc(nz*sizeof(PetscScalar),&gmataa);CHKERRQ(ierr); gmataarestore = gmataa;
297       ierr = MPI_Recv(gmataa,nz,MPIU_SCALAR,0,tag,comm,&status);CHKERRQ(ierr);
298     }
299     /* transfer numerical values into the diagonal A and off diagonal B parts of mat */
300     ld = ((Mat_MPIAIJ*)(mat->data))->ld;
301     ad = Ad->a;
302     ao = Ao->a;
303     if (mat->rmap->n) {
304       i  = 0;
305       nz = ld[i];                                   ierr = PetscMemcpy(ao,gmataa,nz*sizeof(PetscScalar));CHKERRQ(ierr); ao += nz; gmataa += nz;
306       nz = Ad->i[i+1] - Ad->i[i];                   ierr = PetscMemcpy(ad,gmataa,nz*sizeof(PetscScalar));CHKERRQ(ierr); ad += nz; gmataa += nz;
307     }
308     for (i=1; i<mat->rmap->n; i++) {
309       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;
310       nz = Ad->i[i+1] - Ad->i[i];                   ierr = PetscMemcpy(ad,gmataa,nz*sizeof(PetscScalar));CHKERRQ(ierr); ad += nz; gmataa += nz;
311     }
312     i--;
313     if (mat->rmap->n) {
314       nz = Ao->i[i+1] - Ao->i[i] - ld[i];           ierr = PetscMemcpy(ao,gmataa,nz*sizeof(PetscScalar));CHKERRQ(ierr); ao += nz; gmataa += nz;
315     }
316     if (rank) {
317       ierr = PetscFree(gmataarestore);CHKERRQ(ierr);
318     }
319   }
320   ierr = MatAssemblyBegin(mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
321   ierr = MatAssemblyEnd(mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
322   CHKMEMQ;
323   PetscFunctionReturn(0);
324 }
325 
326 /*
327   Local utility routine that creates a mapping from the global column
328 number to the local number in the off-diagonal part of the local
329 storage of the matrix.  When PETSC_USE_CTABLE is used this is scalable at
330 a slightly higher hash table cost; without it it is not scalable (each processor
331 has an order N integer array but is fast to acess.
332 */
333 #undef __FUNCT__
334 #define __FUNCT__ "MatCreateColmap_MPIAIJ_Private"
335 PetscErrorCode MatCreateColmap_MPIAIJ_Private(Mat mat)
336 {
337   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)mat->data;
338   PetscErrorCode ierr;
339   PetscInt       n = aij->B->cmap->n,i;
340 
341   PetscFunctionBegin;
342   if (!aij->garray) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"MPIAIJ Matrix was assembled but is missing garray");
343 #if defined (PETSC_USE_CTABLE)
344   ierr = PetscTableCreate(n,mat->cmap->N+1,&aij->colmap);CHKERRQ(ierr);
345   for (i=0; i<n; i++){
346     ierr = PetscTableAdd(aij->colmap,aij->garray[i]+1,i+1,INSERT_VALUES);CHKERRQ(ierr);
347   }
348 #else
349   ierr = PetscMalloc((mat->cmap->N+1)*sizeof(PetscInt),&aij->colmap);CHKERRQ(ierr);
350   ierr = PetscLogObjectMemory(mat,mat->cmap->N*sizeof(PetscInt));CHKERRQ(ierr);
351   ierr = PetscMemzero(aij->colmap,mat->cmap->N*sizeof(PetscInt));CHKERRQ(ierr);
352   for (i=0; i<n; i++) aij->colmap[aij->garray[i]] = i+1;
353 #endif
354   PetscFunctionReturn(0);
355 }
356 
357 #define MatSetValues_SeqAIJ_A_Private(row,col,value,addv) \
358 { \
359     if (col <= lastcol1) low1 = 0; else high1 = nrow1; \
360     lastcol1 = col;\
361     while (high1-low1 > 5) { \
362       t = (low1+high1)/2; \
363       if (rp1[t] > col) high1 = t; \
364       else             low1  = t; \
365     } \
366       for (_i=low1; _i<high1; _i++) { \
367         if (rp1[_i] > col) break; \
368         if (rp1[_i] == col) { \
369           if (addv == ADD_VALUES) ap1[_i] += value;   \
370           else                    ap1[_i] = value; \
371           goto a_noinsert; \
372         } \
373       }  \
374       if (value == 0.0 && ignorezeroentries) {low1 = 0; high1 = nrow1;goto a_noinsert;} \
375       if (nonew == 1) {low1 = 0; high1 = nrow1; goto a_noinsert;}		\
376       if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", row, col); \
377       MatSeqXAIJReallocateAIJ(A,am,1,nrow1,row,col,rmax1,aa,ai,aj,rp1,ap1,aimax,nonew,MatScalar); \
378       N = nrow1++ - 1; a->nz++; high1++; \
379       /* shift up all the later entries in this row */ \
380       for (ii=N; ii>=_i; ii--) { \
381         rp1[ii+1] = rp1[ii]; \
382         ap1[ii+1] = ap1[ii]; \
383       } \
384       rp1[_i] = col;  \
385       ap1[_i] = value;  \
386       a_noinsert: ; \
387       ailen[row] = nrow1; \
388 }
389 
390 
391 #define MatSetValues_SeqAIJ_B_Private(row,col,value,addv) \
392 { \
393     if (col <= lastcol2) low2 = 0; else high2 = nrow2; \
394     lastcol2 = col;\
395     while (high2-low2 > 5) { \
396       t = (low2+high2)/2; \
397       if (rp2[t] > col) high2 = t; \
398       else             low2  = t; \
399     } \
400     for (_i=low2; _i<high2; _i++) {		\
401       if (rp2[_i] > col) break;			\
402       if (rp2[_i] == col) {			      \
403 	if (addv == ADD_VALUES) ap2[_i] += value;     \
404 	else                    ap2[_i] = value;      \
405 	goto b_noinsert;			      \
406       }						      \
407     }							      \
408     if (value == 0.0 && ignorezeroentries) {low2 = 0; high2 = nrow2; goto b_noinsert;} \
409     if (nonew == 1) {low2 = 0; high2 = nrow2; goto b_noinsert;}		\
410     if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", row, col); \
411     MatSeqXAIJReallocateAIJ(B,bm,1,nrow2,row,col,rmax2,ba,bi,bj,rp2,ap2,bimax,nonew,MatScalar); \
412     N = nrow2++ - 1; b->nz++; high2++;					\
413     /* shift up all the later entries in this row */			\
414     for (ii=N; ii>=_i; ii--) {						\
415       rp2[ii+1] = rp2[ii];						\
416       ap2[ii+1] = ap2[ii];						\
417     }									\
418     rp2[_i] = col;							\
419     ap2[_i] = value;							\
420     b_noinsert: ;								\
421     bilen[row] = nrow2;							\
422 }
423 
424 #undef __FUNCT__
425 #define __FUNCT__ "MatSetValuesRow_MPIAIJ"
426 PetscErrorCode MatSetValuesRow_MPIAIJ(Mat A,PetscInt row,const PetscScalar v[])
427 {
428   Mat_MPIAIJ     *mat = (Mat_MPIAIJ*)A->data;
429   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)mat->A->data,*b = (Mat_SeqAIJ*)mat->B->data;
430   PetscErrorCode ierr;
431   PetscInt       l,*garray = mat->garray,diag;
432 
433   PetscFunctionBegin;
434   /* code only works for square matrices A */
435 
436   /* find size of row to the left of the diagonal part */
437   ierr = MatGetOwnershipRange(A,&diag,0);CHKERRQ(ierr);
438   row  = row - diag;
439   for (l=0; l<b->i[row+1]-b->i[row]; l++) {
440     if (garray[b->j[b->i[row]+l]] > diag) break;
441   }
442   ierr = PetscMemcpy(b->a+b->i[row],v,l*sizeof(PetscScalar));CHKERRQ(ierr);
443 
444   /* diagonal part */
445   ierr = PetscMemcpy(a->a+a->i[row],v+l,(a->i[row+1]-a->i[row])*sizeof(PetscScalar));CHKERRQ(ierr);
446 
447   /* right of diagonal part */
448   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);
449   PetscFunctionReturn(0);
450 }
451 
452 #undef __FUNCT__
453 #define __FUNCT__ "MatSetValues_MPIAIJ"
454 PetscErrorCode MatSetValues_MPIAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
455 {
456   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)mat->data;
457   PetscScalar    value;
458   PetscErrorCode ierr;
459   PetscInt       i,j,rstart = mat->rmap->rstart,rend = mat->rmap->rend;
460   PetscInt       cstart = mat->cmap->rstart,cend = mat->cmap->rend,row,col;
461   PetscBool      roworiented = aij->roworiented;
462 
463   /* Some Variables required in the macro */
464   Mat            A = aij->A;
465   Mat_SeqAIJ     *a = (Mat_SeqAIJ*)A->data;
466   PetscInt       *aimax = a->imax,*ai = a->i,*ailen = a->ilen,*aj = a->j;
467   MatScalar      *aa = a->a;
468   PetscBool      ignorezeroentries = a->ignorezeroentries;
469   Mat            B = aij->B;
470   Mat_SeqAIJ     *b = (Mat_SeqAIJ*)B->data;
471   PetscInt       *bimax = b->imax,*bi = b->i,*bilen = b->ilen,*bj = b->j,bm = aij->B->rmap->n,am = aij->A->rmap->n;
472   MatScalar      *ba = b->a;
473 
474   PetscInt       *rp1,*rp2,ii,nrow1,nrow2,_i,rmax1,rmax2,N,low1,high1,low2,high2,t,lastcol1,lastcol2;
475   PetscInt       nonew;
476   MatScalar      *ap1,*ap2;
477 
478   PetscFunctionBegin;
479   if (v) PetscValidScalarPointer(v,6);
480   for (i=0; i<m; i++) {
481     if (im[i] < 0) continue;
482 #if defined(PETSC_USE_DEBUG)
483     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);
484 #endif
485     if (im[i] >= rstart && im[i] < rend) {
486       row      = im[i] - rstart;
487       lastcol1 = -1;
488       rp1      = aj + ai[row];
489       ap1      = aa + ai[row];
490       rmax1    = aimax[row];
491       nrow1    = ailen[row];
492       low1     = 0;
493       high1    = nrow1;
494       lastcol2 = -1;
495       rp2      = bj + bi[row];
496       ap2      = ba + bi[row];
497       rmax2    = bimax[row];
498       nrow2    = bilen[row];
499       low2     = 0;
500       high2    = nrow2;
501 
502       for (j=0; j<n; j++) {
503         if (v) {if (roworiented) value = v[i*n+j]; else value = v[i+j*m];} else value = 0.0;
504         if (ignorezeroentries && value == 0.0 && (addv == ADD_VALUES)) continue;
505         if (in[j] >= cstart && in[j] < cend){
506           col = in[j] - cstart;
507           nonew = a->nonew;
508           MatSetValues_SeqAIJ_A_Private(row,col,value,addv);
509         } else if (in[j] < 0) continue;
510 #if defined(PETSC_USE_DEBUG)
511         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);
512 #endif
513         else {
514           if (mat->was_assembled) {
515             if (!aij->colmap) {
516               ierr = MatCreateColmap_MPIAIJ_Private(mat);CHKERRQ(ierr);
517             }
518 #if defined (PETSC_USE_CTABLE)
519             ierr = PetscTableFind(aij->colmap,in[j]+1,&col);CHKERRQ(ierr);
520 	    col--;
521 #else
522             col = aij->colmap[in[j]] - 1;
523 #endif
524             if (col < 0 && !((Mat_SeqAIJ*)(aij->A->data))->nonew) {
525               ierr = MatDisAssemble_MPIAIJ(mat);CHKERRQ(ierr);
526               col =  in[j];
527               /* Reinitialize the variables required by MatSetValues_SeqAIJ_B_Private() */
528               B = aij->B;
529               b = (Mat_SeqAIJ*)B->data;
530               bimax = b->imax; bi = b->i; bilen = b->ilen; bj = b->j; ba = b->a;
531               rp2      = bj + bi[row];
532               ap2      = ba + bi[row];
533               rmax2    = bimax[row];
534               nrow2    = bilen[row];
535               low2     = 0;
536               high2    = nrow2;
537               bm       = aij->B->rmap->n;
538               ba = b->a;
539             }
540           } else col = in[j];
541           nonew = b->nonew;
542           MatSetValues_SeqAIJ_B_Private(row,col,value,addv);
543         }
544       }
545     } else {
546       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]);
547       if (!aij->donotstash) {
548         mat->assembled = PETSC_FALSE;
549         if (roworiented) {
550           ierr = MatStashValuesRow_Private(&mat->stash,im[i],n,in,v+i*n,(PetscBool)(ignorezeroentries && (addv == ADD_VALUES)));CHKERRQ(ierr);
551         } else {
552           ierr = MatStashValuesCol_Private(&mat->stash,im[i],n,in,v+i,m,(PetscBool)(ignorezeroentries && (addv == ADD_VALUES)));CHKERRQ(ierr);
553         }
554       }
555     }
556   }
557   PetscFunctionReturn(0);
558 }
559 
560 #undef __FUNCT__
561 #define __FUNCT__ "MatGetValues_MPIAIJ"
562 PetscErrorCode MatGetValues_MPIAIJ(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],PetscScalar v[])
563 {
564   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)mat->data;
565   PetscErrorCode ierr;
566   PetscInt       i,j,rstart = mat->rmap->rstart,rend = mat->rmap->rend;
567   PetscInt       cstart = mat->cmap->rstart,cend = mat->cmap->rend,row,col;
568 
569   PetscFunctionBegin;
570   for (i=0; i<m; i++) {
571     if (idxm[i] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",idxm[i]);*/
572     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);
573     if (idxm[i] >= rstart && idxm[i] < rend) {
574       row = idxm[i] - rstart;
575       for (j=0; j<n; j++) {
576         if (idxn[j] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column: %D",idxn[j]); */
577         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);
578         if (idxn[j] >= cstart && idxn[j] < cend){
579           col = idxn[j] - cstart;
580           ierr = MatGetValues(aij->A,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
581         } else {
582           if (!aij->colmap) {
583             ierr = MatCreateColmap_MPIAIJ_Private(mat);CHKERRQ(ierr);
584           }
585 #if defined (PETSC_USE_CTABLE)
586           ierr = PetscTableFind(aij->colmap,idxn[j]+1,&col);CHKERRQ(ierr);
587           col --;
588 #else
589           col = aij->colmap[idxn[j]] - 1;
590 #endif
591           if ((col < 0) || (aij->garray[col] != idxn[j])) *(v+i*n+j) = 0.0;
592           else {
593             ierr = MatGetValues(aij->B,1,&row,1,&col,v+i*n+j);CHKERRQ(ierr);
594           }
595         }
596       }
597     } else {
598       SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local values currently supported");
599     }
600   }
601   PetscFunctionReturn(0);
602 }
603 
604 extern PetscErrorCode MatMultDiagonalBlock_MPIAIJ(Mat,Vec,Vec);
605 
606 #undef __FUNCT__
607 #define __FUNCT__ "MatAssemblyBegin_MPIAIJ"
608 PetscErrorCode MatAssemblyBegin_MPIAIJ(Mat mat,MatAssemblyType mode)
609 {
610   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)mat->data;
611   PetscErrorCode ierr;
612   PetscInt       nstash,reallocs;
613   InsertMode     addv;
614 
615   PetscFunctionBegin;
616   if (aij->donotstash || mat->nooffprocentries) {
617     PetscFunctionReturn(0);
618   }
619 
620   /* make sure all processors are either in INSERTMODE or ADDMODE */
621   ierr = MPI_Allreduce(&mat->insertmode,&addv,1,MPI_INT,MPI_BOR,((PetscObject)mat)->comm);CHKERRQ(ierr);
622   if (addv == (ADD_VALUES|INSERT_VALUES)) SETERRQ(((PetscObject)mat)->comm,PETSC_ERR_ARG_WRONGSTATE,"Some processors inserted others added");
623   mat->insertmode = addv; /* in case this processor had no cache */
624 
625   ierr = MatStashScatterBegin_Private(mat,&mat->stash,mat->rmap->range);CHKERRQ(ierr);
626   ierr = MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);CHKERRQ(ierr);
627   ierr = PetscInfo2(aij->A,"Stash has %D entries, uses %D mallocs.\n",nstash,reallocs);CHKERRQ(ierr);
628   PetscFunctionReturn(0);
629 }
630 
631 #undef __FUNCT__
632 #define __FUNCT__ "MatAssemblyEnd_MPIAIJ"
633 PetscErrorCode MatAssemblyEnd_MPIAIJ(Mat mat,MatAssemblyType mode)
634 {
635   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)mat->data;
636   Mat_SeqAIJ     *a=(Mat_SeqAIJ *)aij->A->data;
637   PetscErrorCode ierr;
638   PetscMPIInt    n;
639   PetscInt       i,j,rstart,ncols,flg;
640   PetscInt       *row,*col;
641   PetscBool      other_disassembled;
642   PetscScalar    *val;
643   InsertMode     addv = mat->insertmode;
644 
645   /* do not use 'b = (Mat_SeqAIJ *)aij->B->data' as B can be reset in disassembly */
646   PetscFunctionBegin;
647   if (!aij->donotstash && !mat->nooffprocentries) {
648     while (1) {
649       ierr = MatStashScatterGetMesg_Private(&mat->stash,&n,&row,&col,&val,&flg);CHKERRQ(ierr);
650       if (!flg) break;
651 
652       for (i=0; i<n;) {
653         /* Now identify the consecutive vals belonging to the same row */
654         for (j=i,rstart=row[j]; j<n; j++) { if (row[j] != rstart) break; }
655         if (j < n) ncols = j-i;
656         else       ncols = n-i;
657         /* Now assemble all these values with a single function call */
658         ierr = MatSetValues_MPIAIJ(mat,1,row+i,ncols,col+i,val+i,addv);CHKERRQ(ierr);
659         i = j;
660       }
661     }
662     ierr = MatStashScatterEnd_Private(&mat->stash);CHKERRQ(ierr);
663   }
664   ierr = MatAssemblyBegin(aij->A,mode);CHKERRQ(ierr);
665   ierr = MatAssemblyEnd(aij->A,mode);CHKERRQ(ierr);
666 
667   /* determine if any processor has disassembled, if so we must
668      also disassemble ourselfs, in order that we may reassemble. */
669   /*
670      if nonzero structure of submatrix B cannot change then we know that
671      no processor disassembled thus we can skip this stuff
672   */
673   if (!((Mat_SeqAIJ*)aij->B->data)->nonew)  {
674     ierr = MPI_Allreduce(&mat->was_assembled,&other_disassembled,1,MPI_INT,MPI_PROD,((PetscObject)mat)->comm);CHKERRQ(ierr);
675     if (mat->was_assembled && !other_disassembled) {
676       ierr = MatDisAssemble_MPIAIJ(mat);CHKERRQ(ierr);
677     }
678   }
679   if (!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) {
680     ierr = MatSetUpMultiply_MPIAIJ(mat);CHKERRQ(ierr);
681   }
682   ierr = MatSetOption(aij->B,MAT_USE_INODES,PETSC_FALSE);CHKERRQ(ierr);
683   ierr = MatSetOption(aij->B,MAT_CHECK_COMPRESSED_ROW,PETSC_FALSE);CHKERRQ(ierr);
684   ierr = MatAssemblyBegin(aij->B,mode);CHKERRQ(ierr);
685   ierr = MatAssemblyEnd(aij->B,mode);CHKERRQ(ierr);
686 
687   ierr = PetscFree2(aij->rowvalues,aij->rowindices);CHKERRQ(ierr);
688   aij->rowvalues = 0;
689 
690   /* used by MatAXPY() */
691   a->xtoy = 0; ((Mat_SeqAIJ *)aij->B->data)->xtoy = 0;  /* b->xtoy = 0 */
692   a->XtoY = 0; ((Mat_SeqAIJ *)aij->B->data)->XtoY = 0;  /* b->XtoY = 0 */
693 
694   ierr = VecDestroy(&aij->diag);CHKERRQ(ierr);
695   if (a->inode.size) mat->ops->multdiagonalblock = MatMultDiagonalBlock_MPIAIJ;
696   PetscFunctionReturn(0);
697 }
698 
699 #undef __FUNCT__
700 #define __FUNCT__ "MatZeroEntries_MPIAIJ"
701 PetscErrorCode MatZeroEntries_MPIAIJ(Mat A)
702 {
703   Mat_MPIAIJ     *l = (Mat_MPIAIJ*)A->data;
704   PetscErrorCode ierr;
705 
706   PetscFunctionBegin;
707   ierr = MatZeroEntries(l->A);CHKERRQ(ierr);
708   ierr = MatZeroEntries(l->B);CHKERRQ(ierr);
709   PetscFunctionReturn(0);
710 }
711 
712 #undef __FUNCT__
713 #define __FUNCT__ "MatZeroRows_MPIAIJ"
714 PetscErrorCode MatZeroRows_MPIAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
715 {
716   Mat_MPIAIJ        *l = (Mat_MPIAIJ*)A->data;
717   PetscErrorCode    ierr;
718   PetscMPIInt       size = l->size,imdex,n,rank = l->rank,tag = ((PetscObject)A)->tag,lastidx = -1;
719   PetscInt          i,*owners = A->rmap->range;
720   PetscInt          *nprocs,j,idx,nsends,row;
721   PetscInt          nmax,*svalues,*starts,*owner,nrecvs;
722   PetscInt          *rvalues,count,base,slen,*source;
723   PetscInt          *lens,*lrows,*values,rstart=A->rmap->rstart;
724   MPI_Comm          comm = ((PetscObject)A)->comm;
725   MPI_Request       *send_waits,*recv_waits;
726   MPI_Status        recv_status,*send_status;
727   const PetscScalar *xx;
728   PetscScalar       *bb;
729 #if defined(PETSC_DEBUG)
730   PetscBool      found = PETSC_FALSE;
731 #endif
732 
733   PetscFunctionBegin;
734   /*  first count number of contributors to each processor */
735   ierr = PetscMalloc(2*size*sizeof(PetscInt),&nprocs);CHKERRQ(ierr);
736   ierr = PetscMemzero(nprocs,2*size*sizeof(PetscInt));CHKERRQ(ierr);
737   ierr = PetscMalloc((N+1)*sizeof(PetscInt),&owner);CHKERRQ(ierr); /* see note*/
738   j = 0;
739   for (i=0; i<N; i++) {
740     if (lastidx > (idx = rows[i])) j = 0;
741     lastidx = idx;
742     for (; j<size; j++) {
743       if (idx >= owners[j] && idx < owners[j+1]) {
744         nprocs[2*j]++;
745         nprocs[2*j+1] = 1;
746         owner[i] = j;
747 #if defined(PETSC_DEBUG)
748         found = PETSC_TRUE;
749 #endif
750         break;
751       }
752     }
753 #if defined(PETSC_DEBUG)
754     if (!found) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Index out of range");
755     found = PETSC_FALSE;
756 #endif
757   }
758   nsends = 0;  for (i=0; i<size; i++) { nsends += nprocs[2*i+1];}
759 
760   if (A->nooffproczerorows) {
761     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");
762     nrecvs = nsends;
763     nmax   = N;
764   } else {
765     /* inform other processors of number of messages and max length*/
766     ierr = PetscMaxSum(comm,nprocs,&nmax,&nrecvs);CHKERRQ(ierr);
767   }
768 
769   /* post receives:   */
770   ierr = PetscMalloc((nrecvs+1)*(nmax+1)*sizeof(PetscInt),&rvalues);CHKERRQ(ierr);
771   ierr = PetscMalloc((nrecvs+1)*sizeof(MPI_Request),&recv_waits);CHKERRQ(ierr);
772   for (i=0; i<nrecvs; i++) {
773     ierr = MPI_Irecv(rvalues+nmax*i,nmax,MPIU_INT,MPI_ANY_SOURCE,tag,comm,recv_waits+i);CHKERRQ(ierr);
774   }
775 
776   /* do sends:
777       1) starts[i] gives the starting index in svalues for stuff going to
778          the ith processor
779   */
780   ierr = PetscMalloc((N+1)*sizeof(PetscInt),&svalues);CHKERRQ(ierr);
781   ierr = PetscMalloc((nsends+1)*sizeof(MPI_Request),&send_waits);CHKERRQ(ierr);
782   ierr = PetscMalloc((size+1)*sizeof(PetscInt),&starts);CHKERRQ(ierr);
783   starts[0] = 0;
784   for (i=1; i<size; i++) { starts[i] = starts[i-1] + nprocs[2*i-2];}
785   for (i=0; i<N; i++) {
786     svalues[starts[owner[i]]++] = rows[i];
787   }
788 
789   starts[0] = 0;
790   for (i=1; i<size+1; i++) { starts[i] = starts[i-1] + nprocs[2*i-2];}
791   count = 0;
792   for (i=0; i<size; i++) {
793     if (nprocs[2*i+1]) {
794       ierr = MPI_Isend(svalues+starts[i],nprocs[2*i],MPIU_INT,i,tag,comm,send_waits+count++);CHKERRQ(ierr);
795     }
796   }
797   ierr = PetscFree(starts);CHKERRQ(ierr);
798 
799   base = owners[rank];
800 
801   /*  wait on receives */
802   ierr   = PetscMalloc2(nrecvs,PetscInt,&lens,nrecvs,PetscInt,&source);CHKERRQ(ierr);
803   count  = nrecvs; slen = 0;
804   while (count) {
805     ierr = MPI_Waitany(nrecvs,recv_waits,&imdex,&recv_status);CHKERRQ(ierr);
806     /* unpack receives into our local space */
807     ierr = MPI_Get_count(&recv_status,MPIU_INT,&n);CHKERRQ(ierr);
808     source[imdex]  = recv_status.MPI_SOURCE;
809     lens[imdex]    = n;
810     slen          += n;
811     count--;
812   }
813   ierr = PetscFree(recv_waits);CHKERRQ(ierr);
814 
815   /* move the data into the send scatter */
816   ierr = PetscMalloc((slen+1)*sizeof(PetscInt),&lrows);CHKERRQ(ierr);
817   count = 0;
818   for (i=0; i<nrecvs; i++) {
819     values = rvalues + i*nmax;
820     for (j=0; j<lens[i]; j++) {
821       lrows[count++] = values[j] - base;
822     }
823   }
824   ierr = PetscFree(rvalues);CHKERRQ(ierr);
825   ierr = PetscFree2(lens,source);CHKERRQ(ierr);
826   ierr = PetscFree(owner);CHKERRQ(ierr);
827   ierr = PetscFree(nprocs);CHKERRQ(ierr);
828 
829   /* fix right hand side if needed */
830   if (x && b) {
831     ierr = VecGetArrayRead(x,&xx);CHKERRQ(ierr);
832     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
833     for (i=0; i<slen; i++) {
834       bb[lrows[i]] = diag*xx[lrows[i]];
835     }
836     ierr = VecRestoreArrayRead(x,&xx);CHKERRQ(ierr);
837     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
838   }
839   /*
840         Zero the required rows. If the "diagonal block" of the matrix
841      is square and the user wishes to set the diagonal we use separate
842      code so that MatSetValues() is not called for each diagonal allocating
843      new memory, thus calling lots of mallocs and slowing things down.
844 
845   */
846   /* must zero l->B before l->A because the (diag) case below may put values into l->B*/
847   ierr = MatZeroRows(l->B,slen,lrows,0.0,0,0);CHKERRQ(ierr);
848   if ((diag != 0.0) && (l->A->rmap->N == l->A->cmap->N)) {
849     ierr = MatZeroRows(l->A,slen,lrows,diag,0,0);CHKERRQ(ierr);
850   } else if (diag != 0.0) {
851     ierr = MatZeroRows(l->A,slen,lrows,0.0,0,0);CHKERRQ(ierr);
852     if (((Mat_SeqAIJ*)l->A->data)->nonew) {
853       SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatZeroRows() on rectangular matrices cannot be used with the Mat options\n\
854 MAT_NEW_NONZERO_LOCATIONS,MAT_NEW_NONZERO_LOCATION_ERR,MAT_NEW_NONZERO_ALLOCATION_ERR");
855     }
856     for (i = 0; i < slen; i++) {
857       row  = lrows[i] + rstart;
858       ierr = MatSetValues(A,1,&row,1,&row,&diag,INSERT_VALUES);CHKERRQ(ierr);
859     }
860     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
861     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
862   } else {
863     ierr = MatZeroRows(l->A,slen,lrows,0.0,0,0);CHKERRQ(ierr);
864   }
865   ierr = PetscFree(lrows);CHKERRQ(ierr);
866 
867   /* wait on sends */
868   if (nsends) {
869     ierr = PetscMalloc(nsends*sizeof(MPI_Status),&send_status);CHKERRQ(ierr);
870     ierr = MPI_Waitall(nsends,send_waits,send_status);CHKERRQ(ierr);
871     ierr = PetscFree(send_status);CHKERRQ(ierr);
872   }
873   ierr = PetscFree(send_waits);CHKERRQ(ierr);
874   ierr = PetscFree(svalues);CHKERRQ(ierr);
875   PetscFunctionReturn(0);
876 }
877 
878 #undef __FUNCT__
879 #define __FUNCT__ "MatZeroRowsColumns_MPIAIJ"
880 PetscErrorCode MatZeroRowsColumns_MPIAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
881 {
882   Mat_MPIAIJ        *l = (Mat_MPIAIJ*)A->data;
883   PetscErrorCode    ierr;
884   PetscMPIInt       size = l->size,imdex,n,rank = l->rank,tag = ((PetscObject)A)->tag,lastidx = -1;
885   PetscInt          i,*owners = A->rmap->range;
886   PetscInt          *nprocs,j,idx,nsends;
887   PetscInt          nmax,*svalues,*starts,*owner,nrecvs;
888   PetscInt          *rvalues,count,base,slen,*source;
889   PetscInt          *lens,*lrows,*values,m;
890   MPI_Comm          comm = ((PetscObject)A)->comm;
891   MPI_Request       *send_waits,*recv_waits;
892   MPI_Status        recv_status,*send_status;
893   const PetscScalar *xx;
894   PetscScalar       *bb,*mask;
895   Vec               xmask,lmask;
896   Mat_SeqAIJ        *aij = (Mat_SeqAIJ*)l->B->data;
897   const PetscInt    *aj, *ii,*ridx;
898   PetscScalar       *aa;
899 #if defined(PETSC_DEBUG)
900   PetscBool         found = PETSC_FALSE;
901 #endif
902 
903   PetscFunctionBegin;
904   /*  first count number of contributors to each processor */
905   ierr = PetscMalloc(2*size*sizeof(PetscInt),&nprocs);CHKERRQ(ierr);
906   ierr = PetscMemzero(nprocs,2*size*sizeof(PetscInt));CHKERRQ(ierr);
907   ierr = PetscMalloc((N+1)*sizeof(PetscInt),&owner);CHKERRQ(ierr); /* see note*/
908   j = 0;
909   for (i=0; i<N; i++) {
910     if (lastidx > (idx = rows[i])) j = 0;
911     lastidx = idx;
912     for (; j<size; j++) {
913       if (idx >= owners[j] && idx < owners[j+1]) {
914         nprocs[2*j]++;
915         nprocs[2*j+1] = 1;
916         owner[i] = j;
917 #if defined(PETSC_DEBUG)
918         found = PETSC_TRUE;
919 #endif
920         break;
921       }
922     }
923 #if defined(PETSC_DEBUG)
924     if (!found) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Index out of range");
925     found = PETSC_FALSE;
926 #endif
927   }
928   nsends = 0;  for (i=0; i<size; i++) { nsends += nprocs[2*i+1];}
929 
930   /* inform other processors of number of messages and max length*/
931   ierr = PetscMaxSum(comm,nprocs,&nmax,&nrecvs);CHKERRQ(ierr);
932 
933   /* post receives:   */
934   ierr = PetscMalloc((nrecvs+1)*(nmax+1)*sizeof(PetscInt),&rvalues);CHKERRQ(ierr);
935   ierr = PetscMalloc((nrecvs+1)*sizeof(MPI_Request),&recv_waits);CHKERRQ(ierr);
936   for (i=0; i<nrecvs; i++) {
937     ierr = MPI_Irecv(rvalues+nmax*i,nmax,MPIU_INT,MPI_ANY_SOURCE,tag,comm,recv_waits+i);CHKERRQ(ierr);
938   }
939 
940   /* do sends:
941       1) starts[i] gives the starting index in svalues for stuff going to
942          the ith processor
943   */
944   ierr = PetscMalloc((N+1)*sizeof(PetscInt),&svalues);CHKERRQ(ierr);
945   ierr = PetscMalloc((nsends+1)*sizeof(MPI_Request),&send_waits);CHKERRQ(ierr);
946   ierr = PetscMalloc((size+1)*sizeof(PetscInt),&starts);CHKERRQ(ierr);
947   starts[0] = 0;
948   for (i=1; i<size; i++) { starts[i] = starts[i-1] + nprocs[2*i-2];}
949   for (i=0; i<N; i++) {
950     svalues[starts[owner[i]]++] = rows[i];
951   }
952 
953   starts[0] = 0;
954   for (i=1; i<size+1; i++) { starts[i] = starts[i-1] + nprocs[2*i-2];}
955   count = 0;
956   for (i=0; i<size; i++) {
957     if (nprocs[2*i+1]) {
958       ierr = MPI_Isend(svalues+starts[i],nprocs[2*i],MPIU_INT,i,tag,comm,send_waits+count++);CHKERRQ(ierr);
959     }
960   }
961   ierr = PetscFree(starts);CHKERRQ(ierr);
962 
963   base = owners[rank];
964 
965   /*  wait on receives */
966   ierr   = PetscMalloc2(nrecvs,PetscInt,&lens,nrecvs,PetscInt,&source);CHKERRQ(ierr);
967   count  = nrecvs; slen = 0;
968   while (count) {
969     ierr = MPI_Waitany(nrecvs,recv_waits,&imdex,&recv_status);CHKERRQ(ierr);
970     /* unpack receives into our local space */
971     ierr = MPI_Get_count(&recv_status,MPIU_INT,&n);CHKERRQ(ierr);
972     source[imdex]  = recv_status.MPI_SOURCE;
973     lens[imdex]    = n;
974     slen          += n;
975     count--;
976   }
977   ierr = PetscFree(recv_waits);CHKERRQ(ierr);
978 
979   /* move the data into the send scatter */
980   ierr = PetscMalloc((slen+1)*sizeof(PetscInt),&lrows);CHKERRQ(ierr);
981   count = 0;
982   for (i=0; i<nrecvs; i++) {
983     values = rvalues + i*nmax;
984     for (j=0; j<lens[i]; j++) {
985       lrows[count++] = values[j] - base;
986     }
987   }
988   ierr = PetscFree(rvalues);CHKERRQ(ierr);
989   ierr = PetscFree2(lens,source);CHKERRQ(ierr);
990   ierr = PetscFree(owner);CHKERRQ(ierr);
991   ierr = PetscFree(nprocs);CHKERRQ(ierr);
992   /* lrows are the local rows to be zeroed, slen is the number of local rows */
993 
994   /* zero diagonal part of matrix */
995   ierr = MatZeroRowsColumns(l->A,slen,lrows,diag,x,b);CHKERRQ(ierr);
996 
997   /* handle off diagonal part of matrix */
998   ierr = MatGetVecs(A,&xmask,PETSC_NULL);CHKERRQ(ierr);
999   ierr = VecDuplicate(l->lvec,&lmask);CHKERRQ(ierr);
1000   ierr = VecGetArray(xmask,&bb);CHKERRQ(ierr);
1001   for (i=0; i<slen; i++) {
1002     bb[lrows[i]] = 1;
1003   }
1004   ierr = VecRestoreArray(xmask,&bb);CHKERRQ(ierr);
1005   ierr = VecScatterBegin(l->Mvctx,xmask,lmask,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1006   ierr = VecScatterEnd(l->Mvctx,xmask,lmask,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1007   ierr = VecDestroy(&xmask);CHKERRQ(ierr);
1008   if (x) {
1009     ierr = VecScatterBegin(l->Mvctx,x,l->lvec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1010     ierr = VecScatterEnd(l->Mvctx,x,l->lvec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1011     ierr = VecGetArrayRead(l->lvec,&xx);CHKERRQ(ierr);
1012     ierr = VecGetArray(b,&bb);CHKERRQ(ierr);
1013   }
1014   ierr = VecGetArray(lmask,&mask);CHKERRQ(ierr);
1015 
1016   /* remove zeroed rows of off diagonal matrix */
1017   ii = aij->i;
1018   for (i=0; i<slen; i++) {
1019     ierr = PetscMemzero(aij->a + ii[lrows[i]],(ii[lrows[i]+1] - ii[lrows[i]])*sizeof(PetscScalar));CHKERRQ(ierr);
1020   }
1021 
1022   /* loop over all elements of off process part of matrix zeroing removed columns*/
1023   if (aij->compressedrow.use){
1024     m    = aij->compressedrow.nrows;
1025     ii   = aij->compressedrow.i;
1026     ridx = aij->compressedrow.rindex;
1027     for (i=0; i<m; i++){
1028       n   = ii[i+1] - ii[i];
1029       aj  = aij->j + ii[i];
1030       aa  = aij->a + ii[i];
1031 
1032       for (j=0; j<n; j++) {
1033         if (PetscAbsScalar(mask[*aj])) {
1034           if (b) bb[*ridx] -= *aa*xx[*aj];
1035           *aa        = 0.0;
1036         }
1037         aa++;
1038         aj++;
1039       }
1040       ridx++;
1041     }
1042   } else { /* do not use compressed row format */
1043     m = l->B->rmap->n;
1044     for (i=0; i<m; i++) {
1045       n   = ii[i+1] - ii[i];
1046       aj  = aij->j + ii[i];
1047       aa  = aij->a + ii[i];
1048       for (j=0; j<n; j++) {
1049         if (PetscAbsScalar(mask[*aj])) {
1050           if (b) bb[i] -= *aa*xx[*aj];
1051           *aa    = 0.0;
1052         }
1053         aa++;
1054         aj++;
1055       }
1056     }
1057   }
1058   if (x) {
1059     ierr = VecRestoreArray(b,&bb);CHKERRQ(ierr);
1060     ierr = VecRestoreArrayRead(l->lvec,&xx);CHKERRQ(ierr);
1061   }
1062   ierr = VecRestoreArray(lmask,&mask);CHKERRQ(ierr);
1063   ierr = VecDestroy(&lmask);CHKERRQ(ierr);
1064   ierr = PetscFree(lrows);CHKERRQ(ierr);
1065 
1066   /* wait on sends */
1067   if (nsends) {
1068     ierr = PetscMalloc(nsends*sizeof(MPI_Status),&send_status);CHKERRQ(ierr);
1069     ierr = MPI_Waitall(nsends,send_waits,send_status);CHKERRQ(ierr);
1070     ierr = PetscFree(send_status);CHKERRQ(ierr);
1071   }
1072   ierr = PetscFree(send_waits);CHKERRQ(ierr);
1073   ierr = PetscFree(svalues);CHKERRQ(ierr);
1074 
1075   PetscFunctionReturn(0);
1076 }
1077 
1078 #undef __FUNCT__
1079 #define __FUNCT__ "MatMult_MPIAIJ"
1080 PetscErrorCode MatMult_MPIAIJ(Mat A,Vec xx,Vec yy)
1081 {
1082   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
1083   PetscErrorCode ierr;
1084   PetscInt       nt;
1085 
1086   PetscFunctionBegin;
1087   ierr = VecGetLocalSize(xx,&nt);CHKERRQ(ierr);
1088   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);
1089   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1090   ierr = (*a->A->ops->mult)(a->A,xx,yy);CHKERRQ(ierr);
1091   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1092   ierr = (*a->B->ops->multadd)(a->B,a->lvec,yy,yy);CHKERRQ(ierr);
1093   PetscFunctionReturn(0);
1094 }
1095 
1096 #undef __FUNCT__
1097 #define __FUNCT__ "MatMultDiagonalBlock_MPIAIJ"
1098 PetscErrorCode MatMultDiagonalBlock_MPIAIJ(Mat A,Vec bb,Vec xx)
1099 {
1100   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
1101   PetscErrorCode ierr;
1102 
1103   PetscFunctionBegin;
1104   ierr = MatMultDiagonalBlock(a->A,bb,xx);CHKERRQ(ierr);
1105   PetscFunctionReturn(0);
1106 }
1107 
1108 #undef __FUNCT__
1109 #define __FUNCT__ "MatMultAdd_MPIAIJ"
1110 PetscErrorCode MatMultAdd_MPIAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1111 {
1112   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
1113   PetscErrorCode ierr;
1114 
1115   PetscFunctionBegin;
1116   ierr = VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1117   ierr = (*a->A->ops->multadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
1118   ierr = VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1119   ierr = (*a->B->ops->multadd)(a->B,a->lvec,zz,zz);CHKERRQ(ierr);
1120   PetscFunctionReturn(0);
1121 }
1122 
1123 #undef __FUNCT__
1124 #define __FUNCT__ "MatMultTranspose_MPIAIJ"
1125 PetscErrorCode MatMultTranspose_MPIAIJ(Mat A,Vec xx,Vec yy)
1126 {
1127   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
1128   PetscErrorCode ierr;
1129   PetscBool      merged;
1130 
1131   PetscFunctionBegin;
1132   ierr = VecScatterGetMerged(a->Mvctx,&merged);CHKERRQ(ierr);
1133   /* do nondiagonal part */
1134   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1135   if (!merged) {
1136     /* send it on its way */
1137     ierr = VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1138     /* do local part */
1139     ierr = (*a->A->ops->multtranspose)(a->A,xx,yy);CHKERRQ(ierr);
1140     /* receive remote parts: note this assumes the values are not actually */
1141     /* added in yy until the next line, */
1142     ierr = VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1143   } else {
1144     /* do local part */
1145     ierr = (*a->A->ops->multtranspose)(a->A,xx,yy);CHKERRQ(ierr);
1146     /* send it on its way */
1147     ierr = VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1148     /* values actually were received in the Begin() but we need to call this nop */
1149     ierr = VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1150   }
1151   PetscFunctionReturn(0);
1152 }
1153 
1154 EXTERN_C_BEGIN
1155 #undef __FUNCT__
1156 #define __FUNCT__ "MatIsTranspose_MPIAIJ"
1157 PetscErrorCode  MatIsTranspose_MPIAIJ(Mat Amat,Mat Bmat,PetscReal tol,PetscBool  *f)
1158 {
1159   MPI_Comm       comm;
1160   Mat_MPIAIJ     *Aij = (Mat_MPIAIJ *) Amat->data, *Bij;
1161   Mat            Adia = Aij->A, Bdia, Aoff,Boff,*Aoffs,*Boffs;
1162   IS             Me,Notme;
1163   PetscErrorCode ierr;
1164   PetscInt       M,N,first,last,*notme,i;
1165   PetscMPIInt    size;
1166 
1167   PetscFunctionBegin;
1168 
1169   /* Easy test: symmetric diagonal block */
1170   Bij = (Mat_MPIAIJ *) Bmat->data; Bdia = Bij->A;
1171   ierr = MatIsTranspose(Adia,Bdia,tol,f);CHKERRQ(ierr);
1172   if (!*f) PetscFunctionReturn(0);
1173   ierr = PetscObjectGetComm((PetscObject)Amat,&comm);CHKERRQ(ierr);
1174   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
1175   if (size == 1) PetscFunctionReturn(0);
1176 
1177   /* Hard test: off-diagonal block. This takes a MatGetSubMatrix. */
1178   ierr = MatGetSize(Amat,&M,&N);CHKERRQ(ierr);
1179   ierr = MatGetOwnershipRange(Amat,&first,&last);CHKERRQ(ierr);
1180   ierr = PetscMalloc((N-last+first)*sizeof(PetscInt),&notme);CHKERRQ(ierr);
1181   for (i=0; i<first; i++) notme[i] = i;
1182   for (i=last; i<M; i++) notme[i-last+first] = i;
1183   ierr = ISCreateGeneral(MPI_COMM_SELF,N-last+first,notme,PETSC_COPY_VALUES,&Notme);CHKERRQ(ierr);
1184   ierr = ISCreateStride(MPI_COMM_SELF,last-first,first,1,&Me);CHKERRQ(ierr);
1185   ierr = MatGetSubMatrices(Amat,1,&Me,&Notme,MAT_INITIAL_MATRIX,&Aoffs);CHKERRQ(ierr);
1186   Aoff = Aoffs[0];
1187   ierr = MatGetSubMatrices(Bmat,1,&Notme,&Me,MAT_INITIAL_MATRIX,&Boffs);CHKERRQ(ierr);
1188   Boff = Boffs[0];
1189   ierr = MatIsTranspose(Aoff,Boff,tol,f);CHKERRQ(ierr);
1190   ierr = MatDestroyMatrices(1,&Aoffs);CHKERRQ(ierr);
1191   ierr = MatDestroyMatrices(1,&Boffs);CHKERRQ(ierr);
1192   ierr = ISDestroy(&Me);CHKERRQ(ierr);
1193   ierr = ISDestroy(&Notme);CHKERRQ(ierr);
1194   ierr = PetscFree(notme);CHKERRQ(ierr);
1195    PetscFunctionReturn(0);
1196 }
1197 EXTERN_C_END
1198 
1199 #undef __FUNCT__
1200 #define __FUNCT__ "MatMultTransposeAdd_MPIAIJ"
1201 PetscErrorCode MatMultTransposeAdd_MPIAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1202 {
1203   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
1204   PetscErrorCode ierr;
1205 
1206   PetscFunctionBegin;
1207   /* do nondiagonal part */
1208   ierr = (*a->B->ops->multtranspose)(a->B,xx,a->lvec);CHKERRQ(ierr);
1209   /* send it on its way */
1210   ierr = VecScatterBegin(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1211   /* do local part */
1212   ierr = (*a->A->ops->multtransposeadd)(a->A,xx,yy,zz);CHKERRQ(ierr);
1213   /* receive remote parts */
1214   ierr = VecScatterEnd(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1215   PetscFunctionReturn(0);
1216 }
1217 
1218 /*
1219   This only works correctly for square matrices where the subblock A->A is the
1220    diagonal block
1221 */
1222 #undef __FUNCT__
1223 #define __FUNCT__ "MatGetDiagonal_MPIAIJ"
1224 PetscErrorCode MatGetDiagonal_MPIAIJ(Mat A,Vec v)
1225 {
1226   PetscErrorCode ierr;
1227   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
1228 
1229   PetscFunctionBegin;
1230   if (A->rmap->N != A->cmap->N) SETERRQ(((PetscObject)A)->comm,PETSC_ERR_SUP,"Supports only square matrix where A->A is diag block");
1231   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");
1232   ierr = MatGetDiagonal(a->A,v);CHKERRQ(ierr);
1233   PetscFunctionReturn(0);
1234 }
1235 
1236 #undef __FUNCT__
1237 #define __FUNCT__ "MatScale_MPIAIJ"
1238 PetscErrorCode MatScale_MPIAIJ(Mat A,PetscScalar aa)
1239 {
1240   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
1241   PetscErrorCode ierr;
1242 
1243   PetscFunctionBegin;
1244   ierr = MatScale(a->A,aa);CHKERRQ(ierr);
1245   ierr = MatScale(a->B,aa);CHKERRQ(ierr);
1246   PetscFunctionReturn(0);
1247 }
1248 
1249 #undef __FUNCT__
1250 #define __FUNCT__ "MatDestroy_MPIAIJ"
1251 PetscErrorCode MatDestroy_MPIAIJ(Mat mat)
1252 {
1253   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)mat->data;
1254   PetscErrorCode ierr;
1255 
1256   PetscFunctionBegin;
1257 #if defined(PETSC_USE_LOG)
1258   PetscLogObjectState((PetscObject)mat,"Rows=%D, Cols=%D",mat->rmap->N,mat->cmap->N);
1259 #endif
1260   ierr = MatStashDestroy_Private(&mat->stash);CHKERRQ(ierr);
1261   ierr = VecDestroy(&aij->diag);CHKERRQ(ierr);
1262   ierr = MatDestroy(&aij->A);CHKERRQ(ierr);
1263   ierr = MatDestroy(&aij->B);CHKERRQ(ierr);
1264 #if defined (PETSC_USE_CTABLE)
1265   ierr = PetscTableDestroy(&aij->colmap);CHKERRQ(ierr);
1266 #else
1267   ierr = PetscFree(aij->colmap);CHKERRQ(ierr);
1268 #endif
1269   ierr = PetscFree(aij->garray);CHKERRQ(ierr);
1270   ierr = VecDestroy(&aij->lvec);CHKERRQ(ierr);
1271   ierr = VecScatterDestroy(&aij->Mvctx);CHKERRQ(ierr);
1272   ierr = PetscFree2(aij->rowvalues,aij->rowindices);CHKERRQ(ierr);
1273   ierr = PetscFree(aij->ld);CHKERRQ(ierr);
1274   ierr = PetscFree(mat->data);CHKERRQ(ierr);
1275 
1276   ierr = PetscObjectChangeTypeName((PetscObject)mat,0);CHKERRQ(ierr);
1277   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatStoreValues_C","",PETSC_NULL);CHKERRQ(ierr);
1278   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatRetrieveValues_C","",PETSC_NULL);CHKERRQ(ierr);
1279   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatGetDiagonalBlock_C","",PETSC_NULL);CHKERRQ(ierr);
1280   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatIsTranspose_C","",PETSC_NULL);CHKERRQ(ierr);
1281   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatMPIAIJSetPreallocation_C","",PETSC_NULL);CHKERRQ(ierr);
1282   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatMPIAIJSetPreallocationCSR_C","",PETSC_NULL);CHKERRQ(ierr);
1283   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatDiagonalScaleLocal_C","",PETSC_NULL);CHKERRQ(ierr);
1284   ierr = PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpiaij_mpisbaij_C","",PETSC_NULL);CHKERRQ(ierr);
1285   PetscFunctionReturn(0);
1286 }
1287 
1288 #undef __FUNCT__
1289 #define __FUNCT__ "MatView_MPIAIJ_Binary"
1290 PetscErrorCode MatView_MPIAIJ_Binary(Mat mat,PetscViewer viewer)
1291 {
1292   Mat_MPIAIJ        *aij = (Mat_MPIAIJ*)mat->data;
1293   Mat_SeqAIJ*       A = (Mat_SeqAIJ*)aij->A->data;
1294   Mat_SeqAIJ*       B = (Mat_SeqAIJ*)aij->B->data;
1295   PetscErrorCode    ierr;
1296   PetscMPIInt       rank,size,tag = ((PetscObject)viewer)->tag;
1297   int               fd;
1298   PetscInt          nz,header[4],*row_lengths,*range=0,rlen,i;
1299   PetscInt          nzmax,*column_indices,j,k,col,*garray = aij->garray,cnt,cstart = mat->cmap->rstart,rnz;
1300   PetscScalar       *column_values;
1301   PetscInt          message_count,flowcontrolcount;
1302 
1303   PetscFunctionBegin;
1304   ierr = MPI_Comm_rank(((PetscObject)mat)->comm,&rank);CHKERRQ(ierr);
1305   ierr = MPI_Comm_size(((PetscObject)mat)->comm,&size);CHKERRQ(ierr);
1306   nz   = A->nz + B->nz;
1307   if (!rank) {
1308     header[0] = MAT_FILE_CLASSID;
1309     header[1] = mat->rmap->N;
1310     header[2] = mat->cmap->N;
1311     ierr = MPI_Reduce(&nz,&header[3],1,MPIU_INT,MPI_SUM,0,((PetscObject)mat)->comm);CHKERRQ(ierr);
1312     ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
1313     ierr = PetscBinaryWrite(fd,header,4,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1314     /* get largest number of rows any processor has */
1315     rlen = mat->rmap->n;
1316     range = mat->rmap->range;
1317     for (i=1; i<size; i++) {
1318       rlen = PetscMax(rlen,range[i+1] - range[i]);
1319     }
1320   } else {
1321     ierr = MPI_Reduce(&nz,0,1,MPIU_INT,MPI_SUM,0,((PetscObject)mat)->comm);CHKERRQ(ierr);
1322     rlen = mat->rmap->n;
1323   }
1324 
1325   /* load up the local row counts */
1326   ierr = PetscMalloc((rlen+1)*sizeof(PetscInt),&row_lengths);CHKERRQ(ierr);
1327   for (i=0; i<mat->rmap->n; i++) {
1328     row_lengths[i] = A->i[i+1] - A->i[i] + B->i[i+1] - B->i[i];
1329   }
1330 
1331   /* store the row lengths to the file */
1332   ierr = PetscViewerFlowControlStart(viewer,&message_count,&flowcontrolcount);CHKERRQ(ierr);
1333   if (!rank) {
1334     ierr = PetscBinaryWrite(fd,row_lengths,mat->rmap->n,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1335     for (i=1; i<size; i++) {
1336       ierr = PetscViewerFlowControlStepMaster(viewer,i,message_count,flowcontrolcount);CHKERRQ(ierr);
1337       rlen = range[i+1] - range[i];
1338       ierr = MPIULong_Recv(row_lengths,rlen,MPIU_INT,i,tag,((PetscObject)mat)->comm);CHKERRQ(ierr);
1339       ierr = PetscBinaryWrite(fd,row_lengths,rlen,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1340     }
1341     ierr = PetscViewerFlowControlEndMaster(viewer,message_count);CHKERRQ(ierr);
1342   } else {
1343     ierr = PetscViewerFlowControlStepWorker(viewer,rank,message_count);CHKERRQ(ierr);
1344     ierr = MPIULong_Send(row_lengths,mat->rmap->n,MPIU_INT,0,tag,((PetscObject)mat)->comm);CHKERRQ(ierr);
1345     ierr = PetscViewerFlowControlEndWorker(viewer,message_count);CHKERRQ(ierr);
1346   }
1347   ierr = PetscFree(row_lengths);CHKERRQ(ierr);
1348 
1349   /* load up the local column indices */
1350   nzmax = nz; /* )th processor needs space a largest processor needs */
1351   ierr = MPI_Reduce(&nz,&nzmax,1,MPIU_INT,MPI_MAX,0,((PetscObject)mat)->comm);CHKERRQ(ierr);
1352   ierr = PetscMalloc((nzmax+1)*sizeof(PetscInt),&column_indices);CHKERRQ(ierr);
1353   cnt  = 0;
1354   for (i=0; i<mat->rmap->n; i++) {
1355     for (j=B->i[i]; j<B->i[i+1]; j++) {
1356       if ( (col = garray[B->j[j]]) > cstart) break;
1357       column_indices[cnt++] = col;
1358     }
1359     for (k=A->i[i]; k<A->i[i+1]; k++) {
1360       column_indices[cnt++] = A->j[k] + cstart;
1361     }
1362     for (; j<B->i[i+1]; j++) {
1363       column_indices[cnt++] = garray[B->j[j]];
1364     }
1365   }
1366   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);
1367 
1368   /* store the column indices to the file */
1369    ierr = PetscViewerFlowControlStart(viewer,&message_count,&flowcontrolcount);CHKERRQ(ierr);
1370   if (!rank) {
1371     MPI_Status status;
1372     ierr = PetscBinaryWrite(fd,column_indices,nz,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1373     for (i=1; i<size; i++) {
1374       ierr = PetscViewerFlowControlStepMaster(viewer,i,message_count,flowcontrolcount);CHKERRQ(ierr);
1375       ierr = MPI_Recv(&rnz,1,MPIU_INT,i,tag,((PetscObject)mat)->comm,&status);CHKERRQ(ierr);
1376       if (rnz > nzmax) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Internal PETSc error: nz = %D nzmax = %D",nz,nzmax);
1377       ierr = MPIULong_Recv(column_indices,rnz,MPIU_INT,i,tag,((PetscObject)mat)->comm);CHKERRQ(ierr);
1378       ierr = PetscBinaryWrite(fd,column_indices,rnz,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1379     }
1380      ierr = PetscViewerFlowControlEndMaster(viewer,message_count);CHKERRQ(ierr);
1381   } else {
1382     ierr = PetscViewerFlowControlStepWorker(viewer,rank,message_count);CHKERRQ(ierr);
1383     ierr = MPI_Send(&nz,1,MPIU_INT,0,tag,((PetscObject)mat)->comm);CHKERRQ(ierr);
1384     ierr = MPIULong_Send(column_indices,nz,MPIU_INT,0,tag,((PetscObject)mat)->comm);CHKERRQ(ierr);
1385     ierr = PetscViewerFlowControlEndWorker(viewer,message_count);CHKERRQ(ierr);
1386   }
1387   ierr = PetscFree(column_indices);CHKERRQ(ierr);
1388 
1389   /* load up the local column values */
1390   ierr = PetscMalloc((nzmax+1)*sizeof(PetscScalar),&column_values);CHKERRQ(ierr);
1391   cnt  = 0;
1392   for (i=0; i<mat->rmap->n; i++) {
1393     for (j=B->i[i]; j<B->i[i+1]; j++) {
1394       if ( garray[B->j[j]] > cstart) break;
1395       column_values[cnt++] = B->a[j];
1396     }
1397     for (k=A->i[i]; k<A->i[i+1]; k++) {
1398       column_values[cnt++] = A->a[k];
1399     }
1400     for (; j<B->i[i+1]; j++) {
1401       column_values[cnt++] = B->a[j];
1402     }
1403   }
1404   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);
1405 
1406   /* store the column values to the file */
1407    ierr = PetscViewerFlowControlStart(viewer,&message_count,&flowcontrolcount);CHKERRQ(ierr);
1408   if (!rank) {
1409     MPI_Status status;
1410     ierr = PetscBinaryWrite(fd,column_values,nz,PETSC_SCALAR,PETSC_TRUE);CHKERRQ(ierr);
1411     for (i=1; i<size; i++) {
1412        ierr = PetscViewerFlowControlStepMaster(viewer,i,message_count,flowcontrolcount);CHKERRQ(ierr);
1413       ierr = MPI_Recv(&rnz,1,MPIU_INT,i,tag,((PetscObject)mat)->comm,&status);CHKERRQ(ierr);
1414       if (rnz > nzmax) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Internal PETSc error: nz = %D nzmax = %D",nz,nzmax);
1415       ierr = MPIULong_Recv(column_values,rnz,MPIU_SCALAR,i,tag,((PetscObject)mat)->comm);CHKERRQ(ierr);
1416       ierr = PetscBinaryWrite(fd,column_values,rnz,PETSC_SCALAR,PETSC_TRUE);CHKERRQ(ierr);
1417     }
1418     ierr = PetscViewerFlowControlEndMaster(viewer,message_count);CHKERRQ(ierr);
1419   } else {
1420     ierr = PetscViewerFlowControlStepWorker(viewer,rank,message_count);CHKERRQ(ierr);
1421     ierr = MPI_Send(&nz,1,MPIU_INT,0,tag,((PetscObject)mat)->comm);CHKERRQ(ierr);
1422     ierr = MPIULong_Send(column_values,nz,MPIU_SCALAR,0,tag,((PetscObject)mat)->comm);CHKERRQ(ierr);
1423     ierr = PetscViewerFlowControlEndWorker(viewer,message_count);CHKERRQ(ierr);
1424   }
1425   ierr = PetscFree(column_values);CHKERRQ(ierr);
1426   PetscFunctionReturn(0);
1427 }
1428 
1429 #undef __FUNCT__
1430 #define __FUNCT__ "MatView_MPIAIJ_ASCIIorDraworSocket"
1431 PetscErrorCode MatView_MPIAIJ_ASCIIorDraworSocket(Mat mat,PetscViewer viewer)
1432 {
1433   Mat_MPIAIJ        *aij = (Mat_MPIAIJ*)mat->data;
1434   PetscErrorCode    ierr;
1435   PetscMPIInt       rank = aij->rank,size = aij->size;
1436   PetscBool         isdraw,iascii,isbinary;
1437   PetscViewer       sviewer;
1438   PetscViewerFormat format;
1439 
1440   PetscFunctionBegin;
1441   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1442   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1443   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1444   if (iascii) {
1445     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1446     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
1447       MatInfo    info;
1448       PetscBool  inodes;
1449 
1450       ierr = MPI_Comm_rank(((PetscObject)mat)->comm,&rank);CHKERRQ(ierr);
1451       ierr = MatGetInfo(mat,MAT_LOCAL,&info);CHKERRQ(ierr);
1452       ierr = MatInodeGetInodeSizes(aij->A,PETSC_NULL,(PetscInt **)&inodes,PETSC_NULL);CHKERRQ(ierr);
1453       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_TRUE);CHKERRQ(ierr);
1454       if (!inodes) {
1455         ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] Local rows %D nz %D nz alloced %D mem %D, not using I-node routines\n",
1456 					      rank,mat->rmap->n,(PetscInt)info.nz_used,(PetscInt)info.nz_allocated,(PetscInt)info.memory);CHKERRQ(ierr);
1457       } else {
1458         ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] Local rows %D nz %D nz alloced %D mem %D, using I-node routines\n",
1459 		    rank,mat->rmap->n,(PetscInt)info.nz_used,(PetscInt)info.nz_allocated,(PetscInt)info.memory);CHKERRQ(ierr);
1460       }
1461       ierr = MatGetInfo(aij->A,MAT_LOCAL,&info);CHKERRQ(ierr);
1462       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] on-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
1463       ierr = MatGetInfo(aij->B,MAT_LOCAL,&info);CHKERRQ(ierr);
1464       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%d] off-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);CHKERRQ(ierr);
1465       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1466       ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_FALSE);CHKERRQ(ierr);
1467       ierr = PetscViewerASCIIPrintf(viewer,"Information on VecScatter used in matrix-vector product: \n");CHKERRQ(ierr);
1468       ierr = VecScatterView(aij->Mvctx,viewer);CHKERRQ(ierr);
1469       PetscFunctionReturn(0);
1470     } else if (format == PETSC_VIEWER_ASCII_INFO) {
1471       PetscInt   inodecount,inodelimit,*inodes;
1472       ierr = MatInodeGetInodeSizes(aij->A,&inodecount,&inodes,&inodelimit);CHKERRQ(ierr);
1473       if (inodes) {
1474         ierr = PetscViewerASCIIPrintf(viewer,"using I-node (on process 0) routines: found %D nodes, limit used is %D\n",inodecount,inodelimit);CHKERRQ(ierr);
1475       } else {
1476         ierr = PetscViewerASCIIPrintf(viewer,"not using I-node (on process 0) routines\n");CHKERRQ(ierr);
1477       }
1478       PetscFunctionReturn(0);
1479     } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
1480       PetscFunctionReturn(0);
1481     }
1482   } else if (isbinary) {
1483     if (size == 1) {
1484       ierr = PetscObjectSetName((PetscObject)aij->A,((PetscObject)mat)->name);CHKERRQ(ierr);
1485       ierr = MatView(aij->A,viewer);CHKERRQ(ierr);
1486     } else {
1487       ierr = MatView_MPIAIJ_Binary(mat,viewer);CHKERRQ(ierr);
1488     }
1489     PetscFunctionReturn(0);
1490   } else if (isdraw) {
1491     PetscDraw  draw;
1492     PetscBool  isnull;
1493     ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1494     ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
1495   }
1496 
1497   if (size == 1) {
1498     ierr = PetscObjectSetName((PetscObject)aij->A,((PetscObject)mat)->name);CHKERRQ(ierr);
1499     ierr = MatView(aij->A,viewer);CHKERRQ(ierr);
1500   } else {
1501     /* assemble the entire matrix onto first processor. */
1502     Mat         A;
1503     Mat_SeqAIJ  *Aloc;
1504     PetscInt    M = mat->rmap->N,N = mat->cmap->N,m,*ai,*aj,row,*cols,i,*ct;
1505     MatScalar   *a;
1506 
1507     if (mat->rmap->N > 1024) {
1508       PetscBool  flg = PETSC_FALSE;
1509 
1510       ierr = PetscOptionsGetBool(((PetscObject) mat)->prefix, "-mat_ascii_output_large", &flg,PETSC_NULL);CHKERRQ(ierr);
1511       if (!flg) {
1512         SETERRQ(((PetscObject)mat)->comm,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.");
1513       }
1514     }
1515 
1516     ierr = MatCreate(((PetscObject)mat)->comm,&A);CHKERRQ(ierr);
1517     if (!rank) {
1518       ierr = MatSetSizes(A,M,N,M,N);CHKERRQ(ierr);
1519     } else {
1520       ierr = MatSetSizes(A,0,0,M,N);CHKERRQ(ierr);
1521     }
1522     /* This is just a temporary matrix, so explicitly using MATMPIAIJ is probably best */
1523     ierr = MatSetType(A,MATMPIAIJ);CHKERRQ(ierr);
1524     ierr = MatMPIAIJSetPreallocation(A,0,PETSC_NULL,0,PETSC_NULL);CHKERRQ(ierr);
1525     ierr = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);
1526     ierr = PetscLogObjectParent(mat,A);CHKERRQ(ierr);
1527 
1528     /* copy over the A part */
1529     Aloc = (Mat_SeqAIJ*)aij->A->data;
1530     m = aij->A->rmap->n; ai = Aloc->i; aj = Aloc->j; a = Aloc->a;
1531     row = mat->rmap->rstart;
1532     for (i=0; i<ai[m]; i++) {aj[i] += mat->cmap->rstart ;}
1533     for (i=0; i<m; i++) {
1534       ierr = MatSetValues(A,1,&row,ai[i+1]-ai[i],aj,a,INSERT_VALUES);CHKERRQ(ierr);
1535       row++; a += ai[i+1]-ai[i]; aj += ai[i+1]-ai[i];
1536     }
1537     aj = Aloc->j;
1538     for (i=0; i<ai[m]; i++) {aj[i] -= mat->cmap->rstart;}
1539 
1540     /* copy over the B part */
1541     Aloc = (Mat_SeqAIJ*)aij->B->data;
1542     m    = aij->B->rmap->n;  ai = Aloc->i; aj = Aloc->j; a = Aloc->a;
1543     row  = mat->rmap->rstart;
1544     ierr = PetscMalloc((ai[m]+1)*sizeof(PetscInt),&cols);CHKERRQ(ierr);
1545     ct   = cols;
1546     for (i=0; i<ai[m]; i++) {cols[i] = aij->garray[aj[i]];}
1547     for (i=0; i<m; i++) {
1548       ierr = MatSetValues(A,1,&row,ai[i+1]-ai[i],cols,a,INSERT_VALUES);CHKERRQ(ierr);
1549       row++; a += ai[i+1]-ai[i]; cols += ai[i+1]-ai[i];
1550     }
1551     ierr = PetscFree(ct);CHKERRQ(ierr);
1552     ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1553     ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1554     /*
1555        Everyone has to call to draw the matrix since the graphics waits are
1556        synchronized across all processors that share the PetscDraw object
1557     */
1558     ierr = PetscViewerGetSingleton(viewer,&sviewer);CHKERRQ(ierr);
1559     if (!rank) {
1560       ierr = PetscObjectSetName((PetscObject)((Mat_MPIAIJ*)(A->data))->A,((PetscObject)mat)->name);CHKERRQ(ierr);
1561       /* Set the type name to MATMPIAIJ so that the correct type can be printed out by PetscObjectPrintClassNamePrefixType() in MatView_SeqAIJ_ASCII()*/
1562       PetscStrcpy(((PetscObject)((Mat_MPIAIJ*)(A->data))->A)->type_name,MATMPIAIJ);
1563       ierr = MatView(((Mat_MPIAIJ*)(A->data))->A,sviewer);CHKERRQ(ierr);
1564     }
1565     ierr = PetscViewerRestoreSingleton(viewer,&sviewer);CHKERRQ(ierr);
1566     ierr = MatDestroy(&A);CHKERRQ(ierr);
1567   }
1568   PetscFunctionReturn(0);
1569 }
1570 
1571 #undef __FUNCT__
1572 #define __FUNCT__ "MatView_MPIAIJ"
1573 PetscErrorCode MatView_MPIAIJ(Mat mat,PetscViewer viewer)
1574 {
1575   PetscErrorCode ierr;
1576   PetscBool      iascii,isdraw,issocket,isbinary;
1577 
1578   PetscFunctionBegin;
1579   ierr  = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1580   ierr  = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1581   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1582   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSOCKET,&issocket);CHKERRQ(ierr);
1583   if (iascii || isdraw || isbinary || issocket) {
1584     ierr = MatView_MPIAIJ_ASCIIorDraworSocket(mat,viewer);CHKERRQ(ierr);
1585   } else {
1586     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Viewer type %s not supported by MPIAIJ matrices",((PetscObject)viewer)->type_name);
1587   }
1588   PetscFunctionReturn(0);
1589 }
1590 
1591 #undef __FUNCT__
1592 #define __FUNCT__ "MatSOR_MPIAIJ"
1593 PetscErrorCode MatSOR_MPIAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
1594 {
1595   Mat_MPIAIJ     *mat = (Mat_MPIAIJ*)matin->data;
1596   PetscErrorCode ierr;
1597   Vec            bb1 = 0;
1598   PetscBool      hasop;
1599 
1600   PetscFunctionBegin;
1601   if (its > 1 || ~flag & SOR_ZERO_INITIAL_GUESS || flag & SOR_EISENSTAT) {
1602     ierr = VecDuplicate(bb,&bb1);CHKERRQ(ierr);
1603   }
1604 
1605   if (flag == SOR_APPLY_UPPER) {
1606     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
1607     PetscFunctionReturn(0);
1608   }
1609 
1610   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP){
1611     if (flag & SOR_ZERO_INITIAL_GUESS) {
1612       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
1613       its--;
1614     }
1615 
1616     while (its--) {
1617       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1618       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1619 
1620       /* update rhs: bb1 = bb - B*x */
1621       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
1622       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);CHKERRQ(ierr);
1623 
1624       /* local sweep */
1625       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,1,xx);CHKERRQ(ierr);
1626     }
1627   } else if (flag & SOR_LOCAL_FORWARD_SWEEP){
1628     if (flag & SOR_ZERO_INITIAL_GUESS) {
1629       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
1630       its--;
1631     }
1632     while (its--) {
1633       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1634       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1635 
1636       /* update rhs: bb1 = bb - B*x */
1637       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
1638       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);CHKERRQ(ierr);
1639 
1640       /* local sweep */
1641       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_FORWARD_SWEEP,fshift,lits,1,xx);CHKERRQ(ierr);
1642     }
1643   } else if (flag & SOR_LOCAL_BACKWARD_SWEEP){
1644     if (flag & SOR_ZERO_INITIAL_GUESS) {
1645       ierr = (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);CHKERRQ(ierr);
1646       its--;
1647     }
1648     while (its--) {
1649       ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1650       ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1651 
1652       /* update rhs: bb1 = bb - B*x */
1653       ierr = VecScale(mat->lvec,-1.0);CHKERRQ(ierr);
1654       ierr = (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);CHKERRQ(ierr);
1655 
1656       /* local sweep */
1657       ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_BACKWARD_SWEEP,fshift,lits,1,xx);CHKERRQ(ierr);
1658     }
1659   }  else if (flag & SOR_EISENSTAT) {
1660     Vec         xx1;
1661 
1662     ierr = VecDuplicate(bb,&xx1);CHKERRQ(ierr);
1663     ierr = (*mat->A->ops->sor)(mat->A,bb,omega,(MatSORType)(SOR_ZERO_INITIAL_GUESS | SOR_LOCAL_BACKWARD_SWEEP),fshift,lits,1,xx);CHKERRQ(ierr);
1664 
1665     ierr = VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1666     ierr = VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1667     if (!mat->diag) {
1668       ierr = MatGetVecs(matin,&mat->diag,PETSC_NULL);CHKERRQ(ierr);
1669       ierr = MatGetDiagonal(matin,mat->diag);CHKERRQ(ierr);
1670     }
1671     ierr = MatHasOperation(matin,MATOP_MULT_DIAGONAL_BLOCK,&hasop);CHKERRQ(ierr);
1672     if (hasop) {
1673       ierr = MatMultDiagonalBlock(matin,xx,bb1);CHKERRQ(ierr);
1674     } else {
1675       ierr = VecPointwiseMult(bb1,mat->diag,xx);CHKERRQ(ierr);
1676     }
1677     ierr = VecAYPX(bb1,(omega-2.0)/omega,bb);CHKERRQ(ierr);
1678 
1679     ierr = MatMultAdd(mat->B,mat->lvec,bb1,bb1);CHKERRQ(ierr);
1680 
1681     /* local sweep */
1682     ierr = (*mat->A->ops->sor)(mat->A,bb1,omega,(MatSORType)(SOR_ZERO_INITIAL_GUESS | SOR_LOCAL_FORWARD_SWEEP),fshift,lits,1,xx1);CHKERRQ(ierr);
1683     ierr = VecAXPY(xx,1.0,xx1);CHKERRQ(ierr);
1684     ierr = VecDestroy(&xx1);CHKERRQ(ierr);
1685   } else SETERRQ(((PetscObject)matin)->comm,PETSC_ERR_SUP,"Parallel SOR not supported");
1686 
1687   ierr = VecDestroy(&bb1);CHKERRQ(ierr);
1688   PetscFunctionReturn(0);
1689 }
1690 
1691 #undef __FUNCT__
1692 #define __FUNCT__ "MatPermute_MPIAIJ"
1693 PetscErrorCode MatPermute_MPIAIJ(Mat A,IS rowp,IS colp,Mat *B)
1694 {
1695   MPI_Comm       comm;
1696   PetscInt       first,local_rowsize,local_colsize;
1697   const PetscInt *rows;
1698   IS             crowp,growp,irowp,lrowp,lcolp,icolp;
1699   PetscErrorCode ierr;
1700 
1701   PetscFunctionBegin;
1702   ierr = PetscObjectGetComm((PetscObject)A,&comm);CHKERRQ(ierr);
1703   /* make a collective version of 'rowp', this is to be tolerant of users who pass serial index sets */
1704   ierr = ISOnComm(rowp,comm,PETSC_USE_POINTER,&crowp);CHKERRQ(ierr);
1705   /* collect the global row permutation and invert it */
1706   ierr = ISAllGather(crowp,&growp);CHKERRQ(ierr);
1707   ierr = ISSetPermutation(growp);CHKERRQ(ierr);
1708   ierr = ISDestroy(&crowp);CHKERRQ(ierr);
1709   ierr = ISInvertPermutation(growp,PETSC_DECIDE,&irowp);CHKERRQ(ierr);
1710   ierr = ISDestroy(&growp);CHKERRQ(ierr);
1711   /* get the local target indices */
1712   ierr = MatGetOwnershipRange(A,&first,PETSC_NULL);CHKERRQ(ierr);
1713   ierr = MatGetLocalSize(A,&local_rowsize,&local_colsize);CHKERRQ(ierr);
1714   ierr = ISGetIndices(irowp,&rows);CHKERRQ(ierr);
1715   ierr = ISCreateGeneral(PETSC_COMM_SELF,local_rowsize,rows+first,PETSC_COPY_VALUES,&lrowp);CHKERRQ(ierr);
1716   ierr = ISRestoreIndices(irowp,&rows);CHKERRQ(ierr);
1717   ierr = ISDestroy(&irowp);CHKERRQ(ierr);
1718   /* the column permutation is so much easier;
1719      make a local version of 'colp' and invert it */
1720   ierr = ISOnComm(colp,PETSC_COMM_SELF,PETSC_USE_POINTER,&lcolp);CHKERRQ(ierr);
1721   ierr = ISSetPermutation(lcolp);CHKERRQ(ierr);
1722   ierr = ISInvertPermutation(lcolp,PETSC_DECIDE,&icolp);CHKERRQ(ierr);
1723   ierr = ISDestroy(&lcolp);CHKERRQ(ierr);
1724   /* now we just get the submatrix */
1725   ierr = MatGetSubMatrix_MPIAIJ_Private(A,lrowp,icolp,local_colsize,MAT_INITIAL_MATRIX,B);CHKERRQ(ierr);
1726   /* clean up */
1727   ierr = ISDestroy(&lrowp);CHKERRQ(ierr);
1728   ierr = ISDestroy(&icolp);CHKERRQ(ierr);
1729   PetscFunctionReturn(0);
1730 }
1731 
1732 #undef __FUNCT__
1733 #define __FUNCT__ "MatGetInfo_MPIAIJ"
1734 PetscErrorCode MatGetInfo_MPIAIJ(Mat matin,MatInfoType flag,MatInfo *info)
1735 {
1736   Mat_MPIAIJ     *mat = (Mat_MPIAIJ*)matin->data;
1737   Mat            A = mat->A,B = mat->B;
1738   PetscErrorCode ierr;
1739   PetscReal      isend[5],irecv[5];
1740 
1741   PetscFunctionBegin;
1742   info->block_size     = 1.0;
1743   ierr = MatGetInfo(A,MAT_LOCAL,info);CHKERRQ(ierr);
1744   isend[0] = info->nz_used; isend[1] = info->nz_allocated; isend[2] = info->nz_unneeded;
1745   isend[3] = info->memory;  isend[4] = info->mallocs;
1746   ierr = MatGetInfo(B,MAT_LOCAL,info);CHKERRQ(ierr);
1747   isend[0] += info->nz_used; isend[1] += info->nz_allocated; isend[2] += info->nz_unneeded;
1748   isend[3] += info->memory;  isend[4] += info->mallocs;
1749   if (flag == MAT_LOCAL) {
1750     info->nz_used      = isend[0];
1751     info->nz_allocated = isend[1];
1752     info->nz_unneeded  = isend[2];
1753     info->memory       = isend[3];
1754     info->mallocs      = isend[4];
1755   } else if (flag == MAT_GLOBAL_MAX) {
1756     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_MAX,((PetscObject)matin)->comm);CHKERRQ(ierr);
1757     info->nz_used      = irecv[0];
1758     info->nz_allocated = irecv[1];
1759     info->nz_unneeded  = irecv[2];
1760     info->memory       = irecv[3];
1761     info->mallocs      = irecv[4];
1762   } else if (flag == MAT_GLOBAL_SUM) {
1763     ierr = MPI_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_SUM,((PetscObject)matin)->comm);CHKERRQ(ierr);
1764     info->nz_used      = irecv[0];
1765     info->nz_allocated = irecv[1];
1766     info->nz_unneeded  = irecv[2];
1767     info->memory       = irecv[3];
1768     info->mallocs      = irecv[4];
1769   }
1770   info->fill_ratio_given  = 0; /* no parallel LU/ILU/Cholesky */
1771   info->fill_ratio_needed = 0;
1772   info->factor_mallocs    = 0;
1773 
1774   PetscFunctionReturn(0);
1775 }
1776 
1777 #undef __FUNCT__
1778 #define __FUNCT__ "MatSetOption_MPIAIJ"
1779 PetscErrorCode MatSetOption_MPIAIJ(Mat A,MatOption op,PetscBool  flg)
1780 {
1781   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
1782   PetscErrorCode ierr;
1783 
1784   PetscFunctionBegin;
1785   switch (op) {
1786   case MAT_NEW_NONZERO_LOCATIONS:
1787   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1788   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1789   case MAT_KEEP_NONZERO_PATTERN:
1790   case MAT_NEW_NONZERO_LOCATION_ERR:
1791   case MAT_USE_INODES:
1792   case MAT_IGNORE_ZERO_ENTRIES:
1793     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1794     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1795     break;
1796   case MAT_ROW_ORIENTED:
1797     a->roworiented = flg;
1798     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1799     ierr = MatSetOption(a->B,op,flg);CHKERRQ(ierr);
1800     break;
1801   case MAT_NEW_DIAGONALS:
1802     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1803     break;
1804   case MAT_IGNORE_OFF_PROC_ENTRIES:
1805     a->donotstash = flg;
1806     break;
1807   case MAT_SPD:
1808     A->spd_set                         = PETSC_TRUE;
1809     A->spd                             = flg;
1810     if (flg) {
1811       A->symmetric                     = PETSC_TRUE;
1812       A->structurally_symmetric        = PETSC_TRUE;
1813       A->symmetric_set                 = PETSC_TRUE;
1814       A->structurally_symmetric_set    = PETSC_TRUE;
1815     }
1816     break;
1817   case MAT_SYMMETRIC:
1818     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1819     break;
1820   case MAT_STRUCTURALLY_SYMMETRIC:
1821     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1822     break;
1823   case MAT_HERMITIAN:
1824     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1825     break;
1826   case MAT_SYMMETRY_ETERNAL:
1827     ierr = MatSetOption(a->A,op,flg);CHKERRQ(ierr);
1828     break;
1829 #if defined(PETSC_HAVE_TXPETSCGPU)
1830     // Sorry, I don't know how else to add MatOptions for data specific
1831     // to GPU classes without protecting against it in this case statement.
1832     // If anyone knows of a better way, let me know. Paul
1833   case MAT_DIAGBLOCK_CSR:
1834   case MAT_OFFDIAGBLOCK_CSR:
1835   case MAT_CSR:
1836   case MAT_DIAGBLOCK_DIA:
1837   case MAT_OFFDIAGBLOCK_DIA:
1838   case MAT_DIA:
1839   case MAT_DIAGBLOCK_ELL:
1840   case MAT_OFFDIAGBLOCK_ELL:
1841   case MAT_ELL:
1842   case MAT_DIAGBLOCK_HYB:
1843   case MAT_OFFDIAGBLOCK_HYB:
1844   case MAT_HYB:
1845     /* Not an error because MatSetOption_MPIAIJCUSP/CUSPARSE handle these options */
1846     break;
1847 #endif
1848   default:
1849     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
1850   }
1851   PetscFunctionReturn(0);
1852 }
1853 
1854 #undef __FUNCT__
1855 #define __FUNCT__ "MatGetRow_MPIAIJ"
1856 PetscErrorCode MatGetRow_MPIAIJ(Mat matin,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1857 {
1858   Mat_MPIAIJ     *mat = (Mat_MPIAIJ*)matin->data;
1859   PetscScalar    *vworkA,*vworkB,**pvA,**pvB,*v_p;
1860   PetscErrorCode ierr;
1861   PetscInt       i,*cworkA,*cworkB,**pcA,**pcB,cstart = matin->cmap->rstart;
1862   PetscInt       nztot,nzA,nzB,lrow,rstart = matin->rmap->rstart,rend = matin->rmap->rend;
1863   PetscInt       *cmap,*idx_p;
1864 
1865   PetscFunctionBegin;
1866   if (mat->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Already active");
1867   mat->getrowactive = PETSC_TRUE;
1868 
1869   if (!mat->rowvalues && (idx || v)) {
1870     /*
1871         allocate enough space to hold information from the longest row.
1872     */
1873     Mat_SeqAIJ *Aa = (Mat_SeqAIJ*)mat->A->data,*Ba = (Mat_SeqAIJ*)mat->B->data;
1874     PetscInt   max = 1,tmp;
1875     for (i=0; i<matin->rmap->n; i++) {
1876       tmp = Aa->i[i+1] - Aa->i[i] + Ba->i[i+1] - Ba->i[i];
1877       if (max < tmp) { max = tmp; }
1878     }
1879     ierr = PetscMalloc2(max,PetscScalar,&mat->rowvalues,max,PetscInt,&mat->rowindices);CHKERRQ(ierr);
1880   }
1881 
1882   if (row < rstart || row >= rend) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Only local rows");
1883   lrow = row - rstart;
1884 
1885   pvA = &vworkA; pcA = &cworkA; pvB = &vworkB; pcB = &cworkB;
1886   if (!v)   {pvA = 0; pvB = 0;}
1887   if (!idx) {pcA = 0; if (!v) pcB = 0;}
1888   ierr = (*mat->A->ops->getrow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1889   ierr = (*mat->B->ops->getrow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1890   nztot = nzA + nzB;
1891 
1892   cmap  = mat->garray;
1893   if (v  || idx) {
1894     if (nztot) {
1895       /* Sort by increasing column numbers, assuming A and B already sorted */
1896       PetscInt imark = -1;
1897       if (v) {
1898         *v = v_p = mat->rowvalues;
1899         for (i=0; i<nzB; i++) {
1900           if (cmap[cworkB[i]] < cstart)   v_p[i] = vworkB[i];
1901           else break;
1902         }
1903         imark = i;
1904         for (i=0; i<nzA; i++)     v_p[imark+i] = vworkA[i];
1905         for (i=imark; i<nzB; i++) v_p[nzA+i]   = vworkB[i];
1906       }
1907       if (idx) {
1908         *idx = idx_p = mat->rowindices;
1909         if (imark > -1) {
1910           for (i=0; i<imark; i++) {
1911             idx_p[i] = cmap[cworkB[i]];
1912           }
1913         } else {
1914           for (i=0; i<nzB; i++) {
1915             if (cmap[cworkB[i]] < cstart)   idx_p[i] = cmap[cworkB[i]];
1916             else break;
1917           }
1918           imark = i;
1919         }
1920         for (i=0; i<nzA; i++)     idx_p[imark+i] = cstart + cworkA[i];
1921         for (i=imark; i<nzB; i++) idx_p[nzA+i]   = cmap[cworkB[i]];
1922       }
1923     } else {
1924       if (idx) *idx = 0;
1925       if (v)   *v   = 0;
1926     }
1927   }
1928   *nz = nztot;
1929   ierr = (*mat->A->ops->restorerow)(mat->A,lrow,&nzA,pcA,pvA);CHKERRQ(ierr);
1930   ierr = (*mat->B->ops->restorerow)(mat->B,lrow,&nzB,pcB,pvB);CHKERRQ(ierr);
1931   PetscFunctionReturn(0);
1932 }
1933 
1934 #undef __FUNCT__
1935 #define __FUNCT__ "MatRestoreRow_MPIAIJ"
1936 PetscErrorCode MatRestoreRow_MPIAIJ(Mat mat,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1937 {
1938   Mat_MPIAIJ *aij = (Mat_MPIAIJ*)mat->data;
1939 
1940   PetscFunctionBegin;
1941   if (!aij->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"MatGetRow() must be called first");
1942   aij->getrowactive = PETSC_FALSE;
1943   PetscFunctionReturn(0);
1944 }
1945 
1946 #undef __FUNCT__
1947 #define __FUNCT__ "MatNorm_MPIAIJ"
1948 PetscErrorCode MatNorm_MPIAIJ(Mat mat,NormType type,PetscReal *norm)
1949 {
1950   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)mat->data;
1951   Mat_SeqAIJ     *amat = (Mat_SeqAIJ*)aij->A->data,*bmat = (Mat_SeqAIJ*)aij->B->data;
1952   PetscErrorCode ierr;
1953   PetscInt       i,j,cstart = mat->cmap->rstart;
1954   PetscReal      sum = 0.0;
1955   MatScalar      *v;
1956 
1957   PetscFunctionBegin;
1958   if (aij->size == 1) {
1959     ierr =  MatNorm(aij->A,type,norm);CHKERRQ(ierr);
1960   } else {
1961     if (type == NORM_FROBENIUS) {
1962       v = amat->a;
1963       for (i=0; i<amat->nz; i++) {
1964 #if defined(PETSC_USE_COMPLEX)
1965         sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
1966 #else
1967         sum += (*v)*(*v); v++;
1968 #endif
1969       }
1970       v = bmat->a;
1971       for (i=0; i<bmat->nz; i++) {
1972 #if defined(PETSC_USE_COMPLEX)
1973         sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
1974 #else
1975         sum += (*v)*(*v); v++;
1976 #endif
1977       }
1978       ierr = MPI_Allreduce(&sum,norm,1,MPIU_REAL,MPIU_SUM,((PetscObject)mat)->comm);CHKERRQ(ierr);
1979       *norm = PetscSqrtReal(*norm);
1980     } else if (type == NORM_1) { /* max column norm */
1981       PetscReal *tmp,*tmp2;
1982       PetscInt  *jj,*garray = aij->garray;
1983       ierr = PetscMalloc((mat->cmap->N+1)*sizeof(PetscReal),&tmp);CHKERRQ(ierr);
1984       ierr = PetscMalloc((mat->cmap->N+1)*sizeof(PetscReal),&tmp2);CHKERRQ(ierr);
1985       ierr = PetscMemzero(tmp,mat->cmap->N*sizeof(PetscReal));CHKERRQ(ierr);
1986       *norm = 0.0;
1987       v = amat->a; jj = amat->j;
1988       for (j=0; j<amat->nz; j++) {
1989         tmp[cstart + *jj++ ] += PetscAbsScalar(*v);  v++;
1990       }
1991       v = bmat->a; jj = bmat->j;
1992       for (j=0; j<bmat->nz; j++) {
1993         tmp[garray[*jj++]] += PetscAbsScalar(*v); v++;
1994       }
1995       ierr = MPI_Allreduce(tmp,tmp2,mat->cmap->N,MPIU_REAL,MPIU_SUM,((PetscObject)mat)->comm);CHKERRQ(ierr);
1996       for (j=0; j<mat->cmap->N; j++) {
1997         if (tmp2[j] > *norm) *norm = tmp2[j];
1998       }
1999       ierr = PetscFree(tmp);CHKERRQ(ierr);
2000       ierr = PetscFree(tmp2);CHKERRQ(ierr);
2001     } else if (type == NORM_INFINITY) { /* max row norm */
2002       PetscReal ntemp = 0.0;
2003       for (j=0; j<aij->A->rmap->n; j++) {
2004         v = amat->a + amat->i[j];
2005         sum = 0.0;
2006         for (i=0; i<amat->i[j+1]-amat->i[j]; i++) {
2007           sum += PetscAbsScalar(*v); v++;
2008         }
2009         v = bmat->a + bmat->i[j];
2010         for (i=0; i<bmat->i[j+1]-bmat->i[j]; i++) {
2011           sum += PetscAbsScalar(*v); v++;
2012         }
2013         if (sum > ntemp) ntemp = sum;
2014       }
2015       ierr = MPI_Allreduce(&ntemp,norm,1,MPIU_REAL,MPIU_MAX,((PetscObject)mat)->comm);CHKERRQ(ierr);
2016     } else {
2017       SETERRQ(((PetscObject)mat)->comm,PETSC_ERR_SUP,"No support for two norm");
2018     }
2019   }
2020   PetscFunctionReturn(0);
2021 }
2022 
2023 #undef __FUNCT__
2024 #define __FUNCT__ "MatTranspose_MPIAIJ"
2025 PetscErrorCode MatTranspose_MPIAIJ(Mat A,MatReuse reuse,Mat *matout)
2026 {
2027   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
2028   Mat_SeqAIJ     *Aloc=(Mat_SeqAIJ*)a->A->data,*Bloc=(Mat_SeqAIJ*)a->B->data;
2029   PetscErrorCode ierr;
2030   PetscInt       M = A->rmap->N,N = A->cmap->N,ma,na,mb,*ai,*aj,*bi,*bj,row,*cols,*cols_tmp,i,*d_nnz;
2031   PetscInt       cstart=A->cmap->rstart,ncol;
2032   Mat            B;
2033   MatScalar      *array;
2034 
2035   PetscFunctionBegin;
2036   if (reuse == MAT_REUSE_MATRIX && A == *matout && M != N) SETERRQ(((PetscObject)A)->comm,PETSC_ERR_ARG_SIZ,"Square matrix only for in-place");
2037 
2038   ma = A->rmap->n; na = A->cmap->n; mb = a->B->rmap->n;
2039   ai = Aloc->i; aj = Aloc->j;
2040   bi = Bloc->i; bj = Bloc->j;
2041   if (reuse == MAT_INITIAL_MATRIX || *matout == A) {
2042     /* compute d_nnz for preallocation; o_nnz is approximated by d_nnz to avoid communication */
2043     ierr = PetscMalloc((1+na)*sizeof(PetscInt),&d_nnz);CHKERRQ(ierr);
2044     ierr = PetscMemzero(d_nnz,(1+na)*sizeof(PetscInt));CHKERRQ(ierr);
2045     for (i=0; i<ai[ma]; i++){
2046       d_nnz[aj[i]] ++;
2047       aj[i] += cstart; /* global col index to be used by MatSetValues() */
2048     }
2049 
2050     ierr = MatCreate(((PetscObject)A)->comm,&B);CHKERRQ(ierr);
2051     ierr = MatSetSizes(B,A->cmap->n,A->rmap->n,N,M);CHKERRQ(ierr);
2052     ierr = MatSetBlockSizes(B,A->cmap->bs,A->rmap->bs); CHKERRQ(ierr);
2053     ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2054     ierr = MatMPIAIJSetPreallocation(B,0,d_nnz,0,d_nnz);CHKERRQ(ierr);
2055     ierr = MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);
2056     ierr = PetscFree(d_nnz);CHKERRQ(ierr);
2057   } else {
2058     B = *matout;
2059   }
2060 
2061   /* copy over the A part */
2062   array = Aloc->a;
2063   row = A->rmap->rstart;
2064   for (i=0; i<ma; i++) {
2065     ncol = ai[i+1]-ai[i];
2066     ierr = MatSetValues(B,ncol,aj,1,&row,array,INSERT_VALUES);CHKERRQ(ierr);
2067     row++; array += ncol; aj += ncol;
2068   }
2069   aj = Aloc->j;
2070   for (i=0; i<ai[ma]; i++) aj[i] -= cstart; /* resume local col index */
2071 
2072   /* copy over the B part */
2073   ierr = PetscMalloc(bi[mb]*sizeof(PetscInt),&cols);CHKERRQ(ierr);
2074   ierr = PetscMemzero(cols,bi[mb]*sizeof(PetscInt));CHKERRQ(ierr);
2075   array = Bloc->a;
2076   row = A->rmap->rstart;
2077   for (i=0; i<bi[mb]; i++) {cols[i] = a->garray[bj[i]];}
2078   cols_tmp = cols;
2079   for (i=0; i<mb; i++) {
2080     ncol = bi[i+1]-bi[i];
2081     ierr = MatSetValues(B,ncol,cols_tmp,1,&row,array,INSERT_VALUES);CHKERRQ(ierr);
2082     row++; array += ncol; cols_tmp += ncol;
2083   }
2084   ierr = PetscFree(cols);CHKERRQ(ierr);
2085 
2086   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2087   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2088   if (reuse == MAT_INITIAL_MATRIX || *matout != A) {
2089     *matout = B;
2090   } else {
2091     ierr = MatHeaderMerge(A,B);CHKERRQ(ierr);
2092   }
2093   PetscFunctionReturn(0);
2094 }
2095 
2096 #undef __FUNCT__
2097 #define __FUNCT__ "MatDiagonalScale_MPIAIJ"
2098 PetscErrorCode MatDiagonalScale_MPIAIJ(Mat mat,Vec ll,Vec rr)
2099 {
2100   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)mat->data;
2101   Mat            a = aij->A,b = aij->B;
2102   PetscErrorCode ierr;
2103   PetscInt       s1,s2,s3;
2104 
2105   PetscFunctionBegin;
2106   ierr = MatGetLocalSize(mat,&s2,&s3);CHKERRQ(ierr);
2107   if (rr) {
2108     ierr = VecGetLocalSize(rr,&s1);CHKERRQ(ierr);
2109     if (s1!=s3) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"right vector non-conforming local size");
2110     /* Overlap communication with computation. */
2111     ierr = VecScatterBegin(aij->Mvctx,rr,aij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2112   }
2113   if (ll) {
2114     ierr = VecGetLocalSize(ll,&s1);CHKERRQ(ierr);
2115     if (s1!=s2) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"left vector non-conforming local size");
2116     ierr = (*b->ops->diagonalscale)(b,ll,0);CHKERRQ(ierr);
2117   }
2118   /* scale  the diagonal block */
2119   ierr = (*a->ops->diagonalscale)(a,ll,rr);CHKERRQ(ierr);
2120 
2121   if (rr) {
2122     /* Do a scatter end and then right scale the off-diagonal block */
2123     ierr = VecScatterEnd(aij->Mvctx,rr,aij->lvec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2124     ierr = (*b->ops->diagonalscale)(b,0,aij->lvec);CHKERRQ(ierr);
2125   }
2126 
2127   PetscFunctionReturn(0);
2128 }
2129 
2130 #undef __FUNCT__
2131 #define __FUNCT__ "MatSetUnfactored_MPIAIJ"
2132 PetscErrorCode MatSetUnfactored_MPIAIJ(Mat A)
2133 {
2134   Mat_MPIAIJ     *a   = (Mat_MPIAIJ*)A->data;
2135   PetscErrorCode ierr;
2136 
2137   PetscFunctionBegin;
2138   ierr = MatSetUnfactored(a->A);CHKERRQ(ierr);
2139   PetscFunctionReturn(0);
2140 }
2141 
2142 #undef __FUNCT__
2143 #define __FUNCT__ "MatEqual_MPIAIJ"
2144 PetscErrorCode MatEqual_MPIAIJ(Mat A,Mat B,PetscBool  *flag)
2145 {
2146   Mat_MPIAIJ     *matB = (Mat_MPIAIJ*)B->data,*matA = (Mat_MPIAIJ*)A->data;
2147   Mat            a,b,c,d;
2148   PetscBool      flg;
2149   PetscErrorCode ierr;
2150 
2151   PetscFunctionBegin;
2152   a = matA->A; b = matA->B;
2153   c = matB->A; d = matB->B;
2154 
2155   ierr = MatEqual(a,c,&flg);CHKERRQ(ierr);
2156   if (flg) {
2157     ierr = MatEqual(b,d,&flg);CHKERRQ(ierr);
2158   }
2159   ierr = MPI_Allreduce(&flg,flag,1,MPI_INT,MPI_LAND,((PetscObject)A)->comm);CHKERRQ(ierr);
2160   PetscFunctionReturn(0);
2161 }
2162 
2163 #undef __FUNCT__
2164 #define __FUNCT__ "MatCopy_MPIAIJ"
2165 PetscErrorCode MatCopy_MPIAIJ(Mat A,Mat B,MatStructure str)
2166 {
2167   PetscErrorCode ierr;
2168   Mat_MPIAIJ     *a = (Mat_MPIAIJ *)A->data;
2169   Mat_MPIAIJ     *b = (Mat_MPIAIJ *)B->data;
2170 
2171   PetscFunctionBegin;
2172   /* If the two matrices don't have the same copy implementation, they aren't compatible for fast copy. */
2173   if ((str != SAME_NONZERO_PATTERN) || (A->ops->copy != B->ops->copy)) {
2174     /* because of the column compression in the off-processor part of the matrix a->B,
2175        the number of columns in a->B and b->B may be different, hence we cannot call
2176        the MatCopy() directly on the two parts. If need be, we can provide a more
2177        efficient copy than the MatCopy_Basic() by first uncompressing the a->B matrices
2178        then copying the submatrices */
2179     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
2180   } else {
2181     ierr = MatCopy(a->A,b->A,str);CHKERRQ(ierr);
2182     ierr = MatCopy(a->B,b->B,str);CHKERRQ(ierr);
2183   }
2184   PetscFunctionReturn(0);
2185 }
2186 
2187 #undef __FUNCT__
2188 #define __FUNCT__ "MatSetUp_MPIAIJ"
2189 PetscErrorCode MatSetUp_MPIAIJ(Mat A)
2190 {
2191   PetscErrorCode ierr;
2192 
2193   PetscFunctionBegin;
2194   ierr =  MatMPIAIJSetPreallocation(A,PETSC_DEFAULT,0,PETSC_DEFAULT,0);CHKERRQ(ierr);
2195   PetscFunctionReturn(0);
2196 }
2197 
2198 #undef __FUNCT__
2199 #define __FUNCT__ "MatAXPYGetPreallocation_MPIAIJ"
2200 /* This is the same as MatAXPYGetPreallocation_SeqAIJ, except that the local-to-global map is provided */
2201 static PetscErrorCode MatAXPYGetPreallocation_MPIAIJ(Mat Y,const PetscInt *yltog,Mat X,const PetscInt *xltog,PetscInt* nnz)
2202 {
2203   PetscInt          i,m=Y->rmap->N;
2204   Mat_SeqAIJ        *x = (Mat_SeqAIJ*)X->data;
2205   Mat_SeqAIJ        *y = (Mat_SeqAIJ*)Y->data;
2206   const PetscInt    *xi = x->i,*yi = y->i;
2207 
2208   PetscFunctionBegin;
2209   /* Set the number of nonzeros in the new matrix */
2210   for(i=0; i<m; i++) {
2211     PetscInt j,k,nzx = xi[i+1] - xi[i],nzy = yi[i+1] - yi[i];
2212     const PetscInt *xj = x->j+xi[i],*yj = y->j+yi[i];
2213     nnz[i] = 0;
2214     for (j=0,k=0; j<nzx; j++) {                   /* Point in X */
2215       for (; k<nzy && yltog[yj[k]]<xltog[xj[j]]; k++) nnz[i]++; /* Catch up to X */
2216       if (k<nzy && yltog[yj[k]]==xltog[xj[j]]) k++;             /* Skip duplicate */
2217       nnz[i]++;
2218     }
2219     for (; k<nzy; k++) nnz[i]++;
2220   }
2221   PetscFunctionReturn(0);
2222 }
2223 
2224 #undef __FUNCT__
2225 #define __FUNCT__ "MatAXPY_MPIAIJ"
2226 PetscErrorCode MatAXPY_MPIAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
2227 {
2228   PetscErrorCode ierr;
2229   PetscInt       i;
2230   Mat_MPIAIJ     *xx = (Mat_MPIAIJ *)X->data,*yy = (Mat_MPIAIJ *)Y->data;
2231   PetscBLASInt   bnz,one=1;
2232   Mat_SeqAIJ     *x,*y;
2233 
2234   PetscFunctionBegin;
2235   if (str == SAME_NONZERO_PATTERN) {
2236     PetscScalar alpha = a;
2237     x = (Mat_SeqAIJ *)xx->A->data;
2238     y = (Mat_SeqAIJ *)yy->A->data;
2239     bnz = PetscBLASIntCast(x->nz);
2240     BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one);
2241     x = (Mat_SeqAIJ *)xx->B->data;
2242     y = (Mat_SeqAIJ *)yy->B->data;
2243     bnz = PetscBLASIntCast(x->nz);
2244     BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one);
2245   } else if (str == SUBSET_NONZERO_PATTERN) {
2246     ierr = MatAXPY_SeqAIJ(yy->A,a,xx->A,str);CHKERRQ(ierr);
2247 
2248     x = (Mat_SeqAIJ *)xx->B->data;
2249     y = (Mat_SeqAIJ *)yy->B->data;
2250     if (y->xtoy && y->XtoY != xx->B) {
2251       ierr = PetscFree(y->xtoy);CHKERRQ(ierr);
2252       ierr = MatDestroy(&y->XtoY);CHKERRQ(ierr);
2253     }
2254     if (!y->xtoy) { /* get xtoy */
2255       ierr = MatAXPYGetxtoy_Private(xx->B->rmap->n,x->i,x->j,xx->garray,y->i,y->j,yy->garray,&y->xtoy);CHKERRQ(ierr);
2256       y->XtoY = xx->B;
2257       ierr = PetscObjectReference((PetscObject)xx->B);CHKERRQ(ierr);
2258     }
2259     for (i=0; i<x->nz; i++) y->a[y->xtoy[i]] += a*(x->a[i]);
2260   } else {
2261     Mat B;
2262     PetscInt *nnz_d,*nnz_o;
2263     ierr = PetscMalloc(yy->A->rmap->N*sizeof(PetscInt),&nnz_d);CHKERRQ(ierr);
2264     ierr = PetscMalloc(yy->B->rmap->N*sizeof(PetscInt),&nnz_o);CHKERRQ(ierr);
2265     ierr = MatCreate(((PetscObject)Y)->comm,&B);CHKERRQ(ierr);
2266     ierr = PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);CHKERRQ(ierr);
2267     ierr = MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);CHKERRQ(ierr);
2268     ierr = MatSetBlockSizes(B,Y->rmap->bs,Y->cmap->bs);CHKERRQ(ierr);
2269     ierr = MatSetType(B,MATMPIAIJ);CHKERRQ(ierr);
2270     ierr = MatAXPYGetPreallocation_SeqAIJ(yy->A,xx->A,nnz_d);CHKERRQ(ierr);
2271     ierr = MatAXPYGetPreallocation_MPIAIJ(yy->B,yy->garray,xx->B,xx->garray,nnz_o);CHKERRQ(ierr);
2272     ierr = MatMPIAIJSetPreallocation(B,0,nnz_d,0,nnz_o);CHKERRQ(ierr);
2273     ierr = MatAXPY_BasicWithPreallocation(B,Y,a,X,str);CHKERRQ(ierr);
2274     ierr = MatHeaderReplace(Y,B);
2275     ierr = PetscFree(nnz_d);CHKERRQ(ierr);
2276     ierr = PetscFree(nnz_o);CHKERRQ(ierr);
2277   }
2278   PetscFunctionReturn(0);
2279 }
2280 
2281 extern PetscErrorCode  MatConjugate_SeqAIJ(Mat);
2282 
2283 #undef __FUNCT__
2284 #define __FUNCT__ "MatConjugate_MPIAIJ"
2285 PetscErrorCode  MatConjugate_MPIAIJ(Mat mat)
2286 {
2287 #if defined(PETSC_USE_COMPLEX)
2288   PetscErrorCode ierr;
2289   Mat_MPIAIJ     *aij = (Mat_MPIAIJ *)mat->data;
2290 
2291   PetscFunctionBegin;
2292   ierr = MatConjugate_SeqAIJ(aij->A);CHKERRQ(ierr);
2293   ierr = MatConjugate_SeqAIJ(aij->B);CHKERRQ(ierr);
2294 #else
2295   PetscFunctionBegin;
2296 #endif
2297   PetscFunctionReturn(0);
2298 }
2299 
2300 #undef __FUNCT__
2301 #define __FUNCT__ "MatRealPart_MPIAIJ"
2302 PetscErrorCode MatRealPart_MPIAIJ(Mat A)
2303 {
2304   Mat_MPIAIJ   *a = (Mat_MPIAIJ*)A->data;
2305   PetscErrorCode ierr;
2306 
2307   PetscFunctionBegin;
2308   ierr = MatRealPart(a->A);CHKERRQ(ierr);
2309   ierr = MatRealPart(a->B);CHKERRQ(ierr);
2310   PetscFunctionReturn(0);
2311 }
2312 
2313 #undef __FUNCT__
2314 #define __FUNCT__ "MatImaginaryPart_MPIAIJ"
2315 PetscErrorCode MatImaginaryPart_MPIAIJ(Mat A)
2316 {
2317   Mat_MPIAIJ   *a = (Mat_MPIAIJ*)A->data;
2318   PetscErrorCode ierr;
2319 
2320   PetscFunctionBegin;
2321   ierr = MatImaginaryPart(a->A);CHKERRQ(ierr);
2322   ierr = MatImaginaryPart(a->B);CHKERRQ(ierr);
2323   PetscFunctionReturn(0);
2324 }
2325 
2326 #ifdef PETSC_HAVE_PBGL
2327 
2328 #include <boost/parallel/mpi/bsp_process_group.hpp>
2329 #include <boost/graph/distributed/ilu_default_graph.hpp>
2330 #include <boost/graph/distributed/ilu_0_block.hpp>
2331 #include <boost/graph/distributed/ilu_preconditioner.hpp>
2332 #include <boost/graph/distributed/petsc/interface.hpp>
2333 #include <boost/multi_array.hpp>
2334 #include <boost/parallel/distributed_property_map->hpp>
2335 
2336 #undef __FUNCT__
2337 #define __FUNCT__ "MatILUFactorSymbolic_MPIAIJ"
2338 /*
2339   This uses the parallel ILU factorization of Peter Gottschling <pgottsch@osl.iu.edu>
2340 */
2341 PetscErrorCode MatILUFactorSymbolic_MPIAIJ(Mat fact,Mat A, IS isrow, IS iscol, const MatFactorInfo *info)
2342 {
2343   namespace petsc = boost::distributed::petsc;
2344 
2345   namespace graph_dist = boost::graph::distributed;
2346   using boost::graph::distributed::ilu_default::process_group_type;
2347   using boost::graph::ilu_permuted;
2348 
2349   PetscBool       row_identity, col_identity;
2350   PetscContainer  c;
2351   PetscInt        m, n, M, N;
2352   PetscErrorCode  ierr;
2353 
2354   PetscFunctionBegin;
2355   if (info->levels != 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only levels = 0 supported for parallel ilu");
2356   ierr = ISIdentity(isrow, &row_identity);CHKERRQ(ierr);
2357   ierr = ISIdentity(iscol, &col_identity);CHKERRQ(ierr);
2358   if (!row_identity || !col_identity) {
2359     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Row and column permutations must be identity for parallel ILU");
2360   }
2361 
2362   process_group_type pg;
2363   typedef graph_dist::ilu_default::ilu_level_graph_type  lgraph_type;
2364   lgraph_type*   lgraph_p = new lgraph_type(petsc::num_global_vertices(A), pg, petsc::matrix_distribution(A, pg));
2365   lgraph_type&   level_graph = *lgraph_p;
2366   graph_dist::ilu_default::graph_type&            graph(level_graph.graph);
2367 
2368   petsc::read_matrix(A, graph, get(boost::edge_weight, graph));
2369   ilu_permuted(level_graph);
2370 
2371   /* put together the new matrix */
2372   ierr = MatCreate(((PetscObject)A)->comm, fact);CHKERRQ(ierr);
2373   ierr = MatGetLocalSize(A, &m, &n);CHKERRQ(ierr);
2374   ierr = MatGetSize(A, &M, &N);CHKERRQ(ierr);
2375   ierr = MatSetSizes(fact, m, n, M, N);CHKERRQ(ierr);
2376   ierr = MatSetBlockSizes(fact,A->rmap->bs,A->cmap->bs); CHKERRQ(ierr);
2377   ierr = MatSetType(fact, ((PetscObject)A)->type_name);CHKERRQ(ierr);
2378   ierr = MatAssemblyBegin(fact, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2379   ierr = MatAssemblyEnd(fact, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2380 
2381   ierr = PetscContainerCreate(((PetscObject)A)->comm, &c);
2382   ierr = PetscContainerSetPointer(c, lgraph_p);
2383   ierr = PetscObjectCompose((PetscObject) (fact), "graph", (PetscObject) c);
2384   ierr = PetscContainerDestroy(&c);
2385   PetscFunctionReturn(0);
2386 }
2387 
2388 #undef __FUNCT__
2389 #define __FUNCT__ "MatLUFactorNumeric_MPIAIJ"
2390 PetscErrorCode MatLUFactorNumeric_MPIAIJ(Mat B,Mat A, const MatFactorInfo *info)
2391 {
2392   PetscFunctionBegin;
2393   PetscFunctionReturn(0);
2394 }
2395 
2396 #undef __FUNCT__
2397 #define __FUNCT__ "MatSolve_MPIAIJ"
2398 /*
2399   This uses the parallel ILU factorization of Peter Gottschling <pgottsch@osl.iu.edu>
2400 */
2401 PetscErrorCode MatSolve_MPIAIJ(Mat A, Vec b, Vec x)
2402 {
2403   namespace graph_dist = boost::graph::distributed;
2404 
2405   typedef graph_dist::ilu_default::ilu_level_graph_type  lgraph_type;
2406   lgraph_type*   lgraph_p;
2407   PetscContainer c;
2408   PetscErrorCode ierr;
2409 
2410   PetscFunctionBegin;
2411   ierr = PetscObjectQuery((PetscObject) A, "graph", (PetscObject *) &c);CHKERRQ(ierr);
2412   ierr = PetscContainerGetPointer(c, (void **) &lgraph_p);CHKERRQ(ierr);
2413   ierr = VecCopy(b, x);CHKERRQ(ierr);
2414 
2415   PetscScalar* array_x;
2416   ierr = VecGetArray(x, &array_x);CHKERRQ(ierr);
2417   PetscInt sx;
2418   ierr = VecGetSize(x, &sx);CHKERRQ(ierr);
2419 
2420   PetscScalar* array_b;
2421   ierr = VecGetArray(b, &array_b);CHKERRQ(ierr);
2422   PetscInt sb;
2423   ierr = VecGetSize(b, &sb);CHKERRQ(ierr);
2424 
2425   lgraph_type&   level_graph = *lgraph_p;
2426   graph_dist::ilu_default::graph_type&            graph(level_graph.graph);
2427 
2428   typedef boost::multi_array_ref<PetscScalar, 1> array_ref_type;
2429   array_ref_type                                 ref_b(array_b, boost::extents[num_vertices(graph)]),
2430                                                  ref_x(array_x, boost::extents[num_vertices(graph)]);
2431 
2432   typedef boost::iterator_property_map<array_ref_type::iterator,
2433                                 boost::property_map<graph_dist::ilu_default::graph_type, boost::vertex_index_t>::type>  gvector_type;
2434   gvector_type                                   vector_b(ref_b.begin(), get(boost::vertex_index, graph)),
2435                                                  vector_x(ref_x.begin(), get(boost::vertex_index, graph));
2436 
2437   ilu_set_solve(*lgraph_p, vector_b, vector_x);
2438 
2439   PetscFunctionReturn(0);
2440 }
2441 #endif
2442 
2443 typedef struct { /* used by MatGetRedundantMatrix() for reusing matredundant */
2444   PetscInt       nzlocal,nsends,nrecvs;
2445   PetscMPIInt    *send_rank,*recv_rank;
2446   PetscInt       *sbuf_nz,*rbuf_nz,*sbuf_j,**rbuf_j;
2447   PetscScalar    *sbuf_a,**rbuf_a;
2448   PetscErrorCode (*Destroy)(Mat);
2449 } Mat_Redundant;
2450 
2451 #undef __FUNCT__
2452 #define __FUNCT__ "PetscContainerDestroy_MatRedundant"
2453 PetscErrorCode PetscContainerDestroy_MatRedundant(void *ptr)
2454 {
2455   PetscErrorCode       ierr;
2456   Mat_Redundant        *redund=(Mat_Redundant*)ptr;
2457   PetscInt             i;
2458 
2459   PetscFunctionBegin;
2460   ierr = PetscFree2(redund->send_rank,redund->recv_rank);CHKERRQ(ierr);
2461   ierr = PetscFree(redund->sbuf_j);CHKERRQ(ierr);
2462   ierr = PetscFree(redund->sbuf_a);CHKERRQ(ierr);
2463   for (i=0; i<redund->nrecvs; i++){
2464     ierr = PetscFree(redund->rbuf_j[i]);CHKERRQ(ierr);
2465     ierr = PetscFree(redund->rbuf_a[i]);CHKERRQ(ierr);
2466   }
2467   ierr = PetscFree4(redund->sbuf_nz,redund->rbuf_nz,redund->rbuf_j,redund->rbuf_a);CHKERRQ(ierr);
2468   ierr = PetscFree(redund);CHKERRQ(ierr);
2469   PetscFunctionReturn(0);
2470 }
2471 
2472 #undef __FUNCT__
2473 #define __FUNCT__ "MatDestroy_MatRedundant"
2474 PetscErrorCode MatDestroy_MatRedundant(Mat A)
2475 {
2476   PetscErrorCode  ierr;
2477   PetscContainer  container;
2478   Mat_Redundant   *redund=PETSC_NULL;
2479 
2480   PetscFunctionBegin;
2481   ierr = PetscObjectQuery((PetscObject)A,"Mat_Redundant",(PetscObject *)&container);CHKERRQ(ierr);
2482   if (!container) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Container does not exit");
2483   ierr = PetscContainerGetPointer(container,(void **)&redund);CHKERRQ(ierr);
2484   A->ops->destroy = redund->Destroy;
2485   ierr = PetscObjectCompose((PetscObject)A,"Mat_Redundant",0);CHKERRQ(ierr);
2486   if (A->ops->destroy) {
2487     ierr = (*A->ops->destroy)(A);CHKERRQ(ierr);
2488   }
2489   PetscFunctionReturn(0);
2490 }
2491 
2492 #undef __FUNCT__
2493 #define __FUNCT__ "MatGetRedundantMatrix_MPIAIJ"
2494 PetscErrorCode MatGetRedundantMatrix_MPIAIJ(Mat mat,PetscInt nsubcomm,MPI_Comm subcomm,PetscInt mlocal_sub,MatReuse reuse,Mat *matredundant)
2495 {
2496   PetscMPIInt    rank,size;
2497   MPI_Comm       comm=((PetscObject)mat)->comm;
2498   PetscErrorCode ierr;
2499   PetscInt       nsends=0,nrecvs=0,i,rownz_max=0;
2500   PetscMPIInt    *send_rank=PETSC_NULL,*recv_rank=PETSC_NULL;
2501   PetscInt       *rowrange=mat->rmap->range;
2502   Mat_MPIAIJ     *aij = (Mat_MPIAIJ*)mat->data;
2503   Mat            A=aij->A,B=aij->B,C=*matredundant;
2504   Mat_SeqAIJ     *a=(Mat_SeqAIJ*)A->data,*b=(Mat_SeqAIJ*)B->data;
2505   PetscScalar    *sbuf_a;
2506   PetscInt       nzlocal=a->nz+b->nz;
2507   PetscInt       j,cstart=mat->cmap->rstart,cend=mat->cmap->rend,row,nzA,nzB,ncols,*cworkA,*cworkB;
2508   PetscInt       rstart=mat->rmap->rstart,rend=mat->rmap->rend,*bmap=aij->garray,M,N;
2509   PetscInt       *cols,ctmp,lwrite,*rptr,l,*sbuf_j;
2510   MatScalar      *aworkA,*aworkB;
2511   PetscScalar    *vals;
2512   PetscMPIInt    tag1,tag2,tag3,imdex;
2513   MPI_Request    *s_waits1=PETSC_NULL,*s_waits2=PETSC_NULL,*s_waits3=PETSC_NULL,
2514                  *r_waits1=PETSC_NULL,*r_waits2=PETSC_NULL,*r_waits3=PETSC_NULL;
2515   MPI_Status     recv_status,*send_status;
2516   PetscInt       *sbuf_nz=PETSC_NULL,*rbuf_nz=PETSC_NULL,count;
2517   PetscInt       **rbuf_j=PETSC_NULL;
2518   PetscScalar    **rbuf_a=PETSC_NULL;
2519   Mat_Redundant  *redund=PETSC_NULL;
2520   PetscContainer container;
2521 
2522   PetscFunctionBegin;
2523   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
2524   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2525 
2526   if (reuse == MAT_REUSE_MATRIX) {
2527     ierr = MatGetSize(C,&M,&N);CHKERRQ(ierr);
2528     if (M != N || M != mat->rmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. Wrong global size");
2529     ierr = MatGetLocalSize(C,&M,&N);CHKERRQ(ierr);
2530     if (M != N || M != mlocal_sub) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. Wrong local size");
2531     ierr = PetscObjectQuery((PetscObject)C,"Mat_Redundant",(PetscObject *)&container);CHKERRQ(ierr);
2532     if (!container) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Container does not exit");
2533     ierr = PetscContainerGetPointer(container,(void **)&redund);CHKERRQ(ierr);
2534     if (nzlocal != redund->nzlocal) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Cannot reuse matrix. Wrong nzlocal");
2535 
2536     nsends    = redund->nsends;
2537     nrecvs    = redund->nrecvs;
2538     send_rank = redund->send_rank;
2539     recv_rank = redund->recv_rank;
2540     sbuf_nz   = redund->sbuf_nz;
2541     rbuf_nz   = redund->rbuf_nz;
2542     sbuf_j    = redund->sbuf_j;
2543     sbuf_a    = redund->sbuf_a;
2544     rbuf_j    = redund->rbuf_j;
2545     rbuf_a    = redund->rbuf_a;
2546   }
2547 
2548   if (reuse == MAT_INITIAL_MATRIX){
2549     PetscMPIInt  subrank,subsize;
2550     PetscInt     nleftover,np_subcomm;
2551     /* get the destination processors' id send_rank, nsends and nrecvs */
2552     ierr = MPI_Comm_rank(subcomm,&subrank);CHKERRQ(ierr);
2553     ierr = MPI_Comm_size(subcomm,&subsize);CHKERRQ(ierr);
2554     ierr = PetscMalloc2(size,PetscMPIInt,&send_rank,size,PetscMPIInt,&recv_rank);
2555     np_subcomm = size/nsubcomm;
2556     nleftover  = size - nsubcomm*np_subcomm;
2557     nsends = 0; nrecvs = 0;
2558     for (i=0; i<size; i++){ /* i=rank*/
2559       if (subrank == i/nsubcomm && rank != i){ /* my_subrank == other's subrank */
2560         send_rank[nsends] = i; nsends++;
2561         recv_rank[nrecvs++] = i;
2562       }
2563     }
2564     if (rank >= size - nleftover){/* this proc is a leftover processor */
2565       i = size-nleftover-1;
2566       j = 0;
2567       while (j < nsubcomm - nleftover){
2568         send_rank[nsends++] = i;
2569         i--; j++;
2570       }
2571     }
2572 
2573     if (nleftover && subsize == size/nsubcomm && subrank==subsize-1){ /* this proc recvs from leftover processors */
2574       for (i=0; i<nleftover; i++){
2575         recv_rank[nrecvs++] = size-nleftover+i;
2576       }
2577     }
2578 
2579     /* allocate sbuf_j, sbuf_a */
2580     i = nzlocal + rowrange[rank+1] - rowrange[rank] + 2;
2581     ierr = PetscMalloc(i*sizeof(PetscInt),&sbuf_j);CHKERRQ(ierr);
2582     ierr = PetscMalloc((nzlocal+1)*sizeof(PetscScalar),&sbuf_a);CHKERRQ(ierr);
2583   } /* endof if (reuse == MAT_INITIAL_MATRIX) */
2584 
2585   /* copy mat's local entries into the buffers */
2586   if (reuse == MAT_INITIAL_MATRIX){
2587     rownz_max = 0;
2588     rptr = sbuf_j;
2589     cols = sbuf_j + rend-rstart + 1;
2590     vals = sbuf_a;
2591     rptr[0] = 0;
2592     for (i=0; i<rend-rstart; i++){
2593       row = i + rstart;
2594       nzA    = a->i[i+1] - a->i[i]; nzB = b->i[i+1] - b->i[i];
2595       ncols  = nzA + nzB;
2596       cworkA = a->j + a->i[i]; cworkB = b->j + b->i[i];
2597       aworkA = a->a + a->i[i]; aworkB = b->a + b->i[i];
2598       /* load the column indices for this row into cols */
2599       lwrite = 0;
2600       for (l=0; l<nzB; l++) {
2601         if ((ctmp = bmap[cworkB[l]]) < cstart){
2602           vals[lwrite]   = aworkB[l];
2603           cols[lwrite++] = ctmp;
2604         }
2605       }
2606       for (l=0; l<nzA; l++){
2607         vals[lwrite]   = aworkA[l];
2608         cols[lwrite++] = cstart + cworkA[l];
2609       }
2610       for (l=0; l<nzB; l++) {
2611         if ((ctmp = bmap[cworkB[l]]) >= cend){
2612           vals[lwrite]   = aworkB[l];
2613           cols[lwrite++] = ctmp;
2614         }
2615       }
2616       vals += ncols;
2617       cols += ncols;
2618       rptr[i+1] = rptr[i] + ncols;
2619       if (rownz_max < ncols) rownz_max = ncols;
2620     }
2621     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);
2622   } else { /* only copy matrix values into sbuf_a */
2623     rptr = sbuf_j;
2624     vals = sbuf_a;
2625     rptr[0] = 0;
2626     for (i=0; i<rend-rstart; i++){
2627       row = i + rstart;
2628       nzA    = a->i[i+1] - a->i[i]; nzB = b->i[i+1] - b->i[i];
2629       ncols  = nzA + nzB;
2630       cworkA = a->j + a->i[i]; cworkB = b->j + b->i[i];
2631       aworkA = a->a + a->i[i]; aworkB = b->a + b->i[i];
2632       lwrite = 0;
2633       for (l=0; l<nzB; l++) {
2634         if ((ctmp = bmap[cworkB[l]]) < cstart) vals[lwrite++] = aworkB[l];
2635       }
2636       for (l=0; l<nzA; l++) vals[lwrite++] = aworkA[l];
2637       for (l=0; l<nzB; l++) {
2638         if ((ctmp = bmap[cworkB[l]]) >= cend) vals[lwrite++] = aworkB[l];
2639       }
2640       vals += ncols;
2641       rptr[i+1] = rptr[i] + ncols;
2642     }
2643   } /* endof if (reuse == MAT_INITIAL_MATRIX) */
2644 
2645   /* send nzlocal to others, and recv other's nzlocal */
2646   /*--------------------------------------------------*/
2647   if (reuse == MAT_INITIAL_MATRIX){
2648     ierr = PetscMalloc2(3*(nsends + nrecvs)+1,MPI_Request,&s_waits3,nsends+1,MPI_Status,&send_status);CHKERRQ(ierr);
2649     s_waits2 = s_waits3 + nsends;
2650     s_waits1 = s_waits2 + nsends;
2651     r_waits1 = s_waits1 + nsends;
2652     r_waits2 = r_waits1 + nrecvs;
2653     r_waits3 = r_waits2 + nrecvs;
2654   } else {
2655     ierr = PetscMalloc2(nsends + nrecvs +1,MPI_Request,&s_waits3,nsends+1,MPI_Status,&send_status);CHKERRQ(ierr);
2656     r_waits3 = s_waits3 + nsends;
2657   }
2658 
2659   ierr = PetscObjectGetNewTag((PetscObject)mat,&tag3);CHKERRQ(ierr);
2660   if (reuse == MAT_INITIAL_MATRIX){
2661     /* get new tags to keep the communication clean */
2662     ierr = PetscObjectGetNewTag((PetscObject)mat,&tag1);CHKERRQ(ierr);
2663     ierr = PetscObjectGetNewTag((PetscObject)mat,&tag2);CHKERRQ(ierr);
2664     ierr = PetscMalloc4(nsends,PetscInt,&sbuf_nz,nrecvs,PetscInt,&rbuf_nz,nrecvs,PetscInt*,&rbuf_j,nrecvs,PetscScalar*,&rbuf_a);CHKERRQ(ierr);
2665 
2666     /* post receives of other's nzlocal */
2667     for (i=0; i<nrecvs; i++){
2668       ierr = MPI_Irecv(rbuf_nz+i,1,MPIU_INT,MPI_ANY_SOURCE,tag1,comm,r_waits1+i);CHKERRQ(ierr);
2669     }
2670     /* send nzlocal to others */
2671     for (i=0; i<nsends; i++){
2672       sbuf_nz[i] = nzlocal;
2673       ierr = MPI_Isend(sbuf_nz+i,1,MPIU_INT,send_rank[i],tag1,comm,s_waits1+i);CHKERRQ(ierr);
2674     }
2675     /* wait on receives of nzlocal; allocate space for rbuf_j, rbuf_a */
2676     count = nrecvs;
2677     while (count) {
2678       ierr = MPI_Waitany(nrecvs,r_waits1,&imdex,&recv_status);CHKERRQ(ierr);
2679       recv_rank[imdex] = recv_status.MPI_SOURCE;
2680       /* allocate rbuf_a and rbuf_j; then post receives of rbuf_j */
2681       ierr = PetscMalloc((rbuf_nz[imdex]+1)*sizeof(PetscScalar),&rbuf_a[imdex]);CHKERRQ(ierr);
2682 
2683       i = rowrange[recv_status.MPI_SOURCE+1] - rowrange[recv_status.MPI_SOURCE]; /* number of expected mat->i */
2684       rbuf_nz[imdex] += i + 2;
2685       ierr = PetscMalloc(rbuf_nz[imdex]*sizeof(PetscInt),&rbuf_j[imdex]);CHKERRQ(ierr);
2686       ierr = MPI_Irecv(rbuf_j[imdex],rbuf_nz[imdex],MPIU_INT,recv_status.MPI_SOURCE,tag2,comm,r_waits2+imdex);CHKERRQ(ierr);
2687       count--;
2688     }
2689     /* wait on sends of nzlocal */
2690     if (nsends) {ierr = MPI_Waitall(nsends,s_waits1,send_status);CHKERRQ(ierr);}
2691     /* send mat->i,j to others, and recv from other's */
2692     /*------------------------------------------------*/
2693     for (i=0; i<nsends; i++){
2694       j = nzlocal + rowrange[rank+1] - rowrange[rank] + 1;
2695       ierr = MPI_Isend(sbuf_j,j,MPIU_INT,send_rank[i],tag2,comm,s_waits2+i);CHKERRQ(ierr);
2696     }
2697     /* wait on receives of mat->i,j */
2698     /*------------------------------*/
2699     count = nrecvs;
2700     while (count) {
2701       ierr = MPI_Waitany(nrecvs,r_waits2,&imdex,&recv_status);CHKERRQ(ierr);
2702       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);
2703       count--;
2704     }
2705     /* wait on sends of mat->i,j */
2706     /*---------------------------*/
2707     if (nsends) {
2708       ierr = MPI_Waitall(nsends,s_waits2,send_status);CHKERRQ(ierr);
2709     }
2710   } /* endof if (reuse == MAT_INITIAL_MATRIX) */
2711 
2712   /* post receives, send and receive mat->a */
2713   /*----------------------------------------*/
2714   for (imdex=0; imdex<nrecvs; imdex++) {
2715     ierr = MPI_Irecv(rbuf_a[imdex],rbuf_nz[imdex],MPIU_SCALAR,recv_rank[imdex],tag3,comm,r_waits3+imdex);CHKERRQ(ierr);
2716   }
2717   for (i=0; i<nsends; i++){
2718     ierr = MPI_Isend(sbuf_a,nzlocal,MPIU_SCALAR,send_rank[i],tag3,comm,s_waits3+i);CHKERRQ(ierr);
2719   }
2720   count = nrecvs;
2721   while (count) {
2722     ierr = MPI_Waitany(nrecvs,r_waits3,&imdex,&recv_status);CHKERRQ(ierr);
2723     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);
2724     count--;
2725   }
2726   if (nsends) {
2727     ierr = MPI_Waitall(nsends,s_waits3,send_status);CHKERRQ(ierr);
2728   }
2729 
2730   ierr = PetscFree2(s_waits3,send_status);CHKERRQ(ierr);
2731 
2732   /* create redundant matrix */
2733   /*-------------------------*/
2734   if (reuse == MAT_INITIAL_MATRIX){
2735     /* compute rownz_max for preallocation */
2736     for (imdex=0; imdex<nrecvs; imdex++){
2737       j = rowrange[recv_rank[imdex]+1] - rowrange[recv_rank[imdex]];
2738       rptr = rbuf_j[imdex];
2739       for (i=0; i<j; i++){
2740         ncols = rptr[i+1] - rptr[i];
2741         if (rownz_max < ncols) rownz_max = ncols;
2742       }
2743     }
2744 
2745     ierr = MatCreate(subcomm,&C);CHKERRQ(ierr);
2746     ierr = MatSetSizes(C,mlocal_sub,mlocal_sub,PETSC_DECIDE,PETSC_DECIDE);CHKERRQ(ierr);
2747     ierr = MatSetBlockSizes(C,mat->rmap->bs,mat->cmap->bs); CHKERRQ(ierr);
2748     ierr = MatSetFromOptions(C);CHKERRQ(ierr);
2749     ierr = MatSeqAIJSetPreallocation(C,rownz_max,PETSC_NULL);CHKERRQ(ierr);
2750     ierr = MatMPIAIJSetPreallocation(C,rownz_max,PETSC_NULL,rownz_max,PETSC_NULL);CHKERRQ(ierr);
2751   } else {
2752     C = *matredundant;
2753   }
2754 
2755   /* insert local matrix entries */
2756   rptr = sbuf_j;
2757   cols = sbuf_j + rend-rstart + 1;
2758   vals = sbuf_a;
2759   for (i=0; i<rend-rstart; i++){
2760     row   = i + rstart;
2761     ncols = rptr[i+1] - rptr[i];
2762     ierr = MatSetValues(C,1,&row,ncols,cols,vals,INSERT_VALUES);CHKERRQ(ierr);
2763     vals += ncols;
2764     cols += ncols;
2765   }
2766   /* insert received matrix entries */
2767   for (imdex=0; imdex<nrecvs; imdex++){
2768     rstart = rowrange[recv_rank[imdex]];
2769     rend   = rowrange[recv_rank[imdex]+1];
2770     rptr = rbuf_j[imdex];
2771     cols = rbuf_j[imdex] + rend-rstart + 1;
2772     vals = rbuf_a[imdex];
2773     for (i=0; i<rend-rstart; i++){
2774       row   = i + rstart;
2775       ncols = rptr[i+1] - rptr[i];
2776       ierr = MatSetValues(C,1,&row,ncols,cols,vals,INSERT_VALUES);CHKERRQ(ierr);
2777       vals += ncols;
2778       cols += ncols;
2779     }
2780   }
2781   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2782   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2783   ierr = MatGetSize(C,&M,&N);CHKERRQ(ierr);
2784   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);
2785   if (reuse == MAT_INITIAL_MATRIX) {
2786     PetscContainer container;
2787     *matredundant = C;
2788     /* create a supporting struct and attach it to C for reuse */
2789     ierr = PetscNewLog(C,Mat_Redundant,&redund);CHKERRQ(ierr);
2790     ierr = PetscContainerCreate(PETSC_COMM_SELF,&container);CHKERRQ(ierr);
2791     ierr = PetscContainerSetPointer(container,redund);CHKERRQ(ierr);
2792     ierr = PetscContainerSetUserDestroy(container,PetscContainerDestroy_MatRedundant);CHKERRQ(ierr);
2793     ierr = PetscObjectCompose((PetscObject)C,"Mat_Redundant",(PetscObject)container);CHKERRQ(ierr);
2794     ierr = PetscContainerDestroy(&container);CHKERRQ(ierr);
2795 
2796     redund->nzlocal = nzlocal;
2797     redund->nsends  = nsends;
2798     redund->nrecvs  = nrecvs;
2799     redund->send_rank = send_rank;
2800     redund->recv_rank = recv_rank;
2801     redund->sbuf_nz = sbuf_nz;
2802     redund->rbuf_nz = rbuf_nz;
2803     redund->sbuf_j  = sbuf_j;
2804     redund->sbuf_a  = sbuf_a;
2805     redund->rbuf_j  = rbuf_j;
2806     redund->rbuf_a  = rbuf_a;
2807 
2808     redund->Destroy = C->ops->destroy;
2809     C->ops->destroy = MatDestroy_MatRedundant;
2810   }
2811   PetscFunctionReturn(0);
2812 }
2813 
2814 #undef __FUNCT__
2815 #define __FUNCT__ "MatGetRowMaxAbs_MPIAIJ"
2816 PetscErrorCode MatGetRowMaxAbs_MPIAIJ(Mat A, Vec v, PetscInt idx[])
2817 {
2818   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
2819   PetscErrorCode ierr;
2820   PetscInt       i,*idxb = 0;
2821   PetscScalar    *va,*vb;
2822   Vec            vtmp;
2823 
2824   PetscFunctionBegin;
2825   ierr = MatGetRowMaxAbs(a->A,v,idx);CHKERRQ(ierr);
2826   ierr = VecGetArray(v,&va);CHKERRQ(ierr);
2827   if (idx) {
2828     for (i=0; i<A->rmap->n; i++) {
2829       if (PetscAbsScalar(va[i])) idx[i] += A->cmap->rstart;
2830     }
2831   }
2832 
2833   ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->n,&vtmp);CHKERRQ(ierr);
2834   if (idx) {
2835     ierr = PetscMalloc(A->rmap->n*sizeof(PetscInt),&idxb);CHKERRQ(ierr);
2836   }
2837   ierr = MatGetRowMaxAbs(a->B,vtmp,idxb);CHKERRQ(ierr);
2838   ierr = VecGetArray(vtmp,&vb);CHKERRQ(ierr);
2839 
2840   for (i=0; i<A->rmap->n; i++){
2841     if (PetscAbsScalar(va[i]) < PetscAbsScalar(vb[i])) {
2842       va[i] = vb[i];
2843       if (idx) idx[i] = a->garray[idxb[i]];
2844     }
2845   }
2846 
2847   ierr = VecRestoreArray(v,&va);CHKERRQ(ierr);
2848   ierr = VecRestoreArray(vtmp,&vb);CHKERRQ(ierr);
2849   ierr = PetscFree(idxb);CHKERRQ(ierr);
2850   ierr = VecDestroy(&vtmp);CHKERRQ(ierr);
2851   PetscFunctionReturn(0);
2852 }
2853 
2854 #undef __FUNCT__
2855 #define __FUNCT__ "MatGetRowMinAbs_MPIAIJ"
2856 PetscErrorCode MatGetRowMinAbs_MPIAIJ(Mat A, Vec v, PetscInt idx[])
2857 {
2858   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
2859   PetscErrorCode ierr;
2860   PetscInt       i,*idxb = 0;
2861   PetscScalar    *va,*vb;
2862   Vec            vtmp;
2863 
2864   PetscFunctionBegin;
2865   ierr = MatGetRowMinAbs(a->A,v,idx);CHKERRQ(ierr);
2866   ierr = VecGetArray(v,&va);CHKERRQ(ierr);
2867   if (idx) {
2868     for (i=0; i<A->cmap->n; i++) {
2869       if (PetscAbsScalar(va[i])) idx[i] += A->cmap->rstart;
2870     }
2871   }
2872 
2873   ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->n,&vtmp);CHKERRQ(ierr);
2874   if (idx) {
2875     ierr = PetscMalloc(A->rmap->n*sizeof(PetscInt),&idxb);CHKERRQ(ierr);
2876   }
2877   ierr = MatGetRowMinAbs(a->B,vtmp,idxb);CHKERRQ(ierr);
2878   ierr = VecGetArray(vtmp,&vb);CHKERRQ(ierr);
2879 
2880   for (i=0; i<A->rmap->n; i++){
2881     if (PetscAbsScalar(va[i]) > PetscAbsScalar(vb[i])) {
2882       va[i] = vb[i];
2883       if (idx) idx[i] = a->garray[idxb[i]];
2884     }
2885   }
2886 
2887   ierr = VecRestoreArray(v,&va);CHKERRQ(ierr);
2888   ierr = VecRestoreArray(vtmp,&vb);CHKERRQ(ierr);
2889   ierr = PetscFree(idxb);CHKERRQ(ierr);
2890   ierr = VecDestroy(&vtmp);CHKERRQ(ierr);
2891   PetscFunctionReturn(0);
2892 }
2893 
2894 #undef __FUNCT__
2895 #define __FUNCT__ "MatGetRowMin_MPIAIJ"
2896 PetscErrorCode MatGetRowMin_MPIAIJ(Mat A, Vec v, PetscInt idx[])
2897 {
2898   Mat_MPIAIJ    *mat    = (Mat_MPIAIJ *) A->data;
2899   PetscInt       n      = A->rmap->n;
2900   PetscInt       cstart = A->cmap->rstart;
2901   PetscInt      *cmap   = mat->garray;
2902   PetscInt      *diagIdx, *offdiagIdx;
2903   Vec            diagV, offdiagV;
2904   PetscScalar   *a, *diagA, *offdiagA;
2905   PetscInt       r;
2906   PetscErrorCode ierr;
2907 
2908   PetscFunctionBegin;
2909   ierr = PetscMalloc2(n,PetscInt,&diagIdx,n,PetscInt,&offdiagIdx);CHKERRQ(ierr);
2910   ierr = VecCreateSeq(((PetscObject)A)->comm, n, &diagV);CHKERRQ(ierr);
2911   ierr = VecCreateSeq(((PetscObject)A)->comm, n, &offdiagV);CHKERRQ(ierr);
2912   ierr = MatGetRowMin(mat->A, diagV,    diagIdx);CHKERRQ(ierr);
2913   ierr = MatGetRowMin(mat->B, offdiagV, offdiagIdx);CHKERRQ(ierr);
2914   ierr = VecGetArray(v,        &a);CHKERRQ(ierr);
2915   ierr = VecGetArray(diagV,    &diagA);CHKERRQ(ierr);
2916   ierr = VecGetArray(offdiagV, &offdiagA);CHKERRQ(ierr);
2917   for(r = 0; r < n; ++r) {
2918     if (PetscAbsScalar(diagA[r]) <= PetscAbsScalar(offdiagA[r])) {
2919       a[r]   = diagA[r];
2920       idx[r] = cstart + diagIdx[r];
2921     } else {
2922       a[r]   = offdiagA[r];
2923       idx[r] = cmap[offdiagIdx[r]];
2924     }
2925   }
2926   ierr = VecRestoreArray(v,        &a);CHKERRQ(ierr);
2927   ierr = VecRestoreArray(diagV,    &diagA);CHKERRQ(ierr);
2928   ierr = VecRestoreArray(offdiagV, &offdiagA);CHKERRQ(ierr);
2929   ierr = VecDestroy(&diagV);CHKERRQ(ierr);
2930   ierr = VecDestroy(&offdiagV);CHKERRQ(ierr);
2931   ierr = PetscFree2(diagIdx, offdiagIdx);CHKERRQ(ierr);
2932   PetscFunctionReturn(0);
2933 }
2934 
2935 #undef __FUNCT__
2936 #define __FUNCT__ "MatGetRowMax_MPIAIJ"
2937 PetscErrorCode MatGetRowMax_MPIAIJ(Mat A, Vec v, PetscInt idx[])
2938 {
2939   Mat_MPIAIJ    *mat    = (Mat_MPIAIJ *) A->data;
2940   PetscInt       n      = A->rmap->n;
2941   PetscInt       cstart = A->cmap->rstart;
2942   PetscInt      *cmap   = mat->garray;
2943   PetscInt      *diagIdx, *offdiagIdx;
2944   Vec            diagV, offdiagV;
2945   PetscScalar   *a, *diagA, *offdiagA;
2946   PetscInt       r;
2947   PetscErrorCode ierr;
2948 
2949   PetscFunctionBegin;
2950   ierr = PetscMalloc2(n,PetscInt,&diagIdx,n,PetscInt,&offdiagIdx);CHKERRQ(ierr);
2951   ierr = VecCreateSeq(((PetscObject)A)->comm, n, &diagV);CHKERRQ(ierr);
2952   ierr = VecCreateSeq(((PetscObject)A)->comm, n, &offdiagV);CHKERRQ(ierr);
2953   ierr = MatGetRowMax(mat->A, diagV,    diagIdx);CHKERRQ(ierr);
2954   ierr = MatGetRowMax(mat->B, offdiagV, offdiagIdx);CHKERRQ(ierr);
2955   ierr = VecGetArray(v,        &a);CHKERRQ(ierr);
2956   ierr = VecGetArray(diagV,    &diagA);CHKERRQ(ierr);
2957   ierr = VecGetArray(offdiagV, &offdiagA);CHKERRQ(ierr);
2958   for(r = 0; r < n; ++r) {
2959     if (PetscAbsScalar(diagA[r]) >= PetscAbsScalar(offdiagA[r])) {
2960       a[r]   = diagA[r];
2961       idx[r] = cstart + diagIdx[r];
2962     } else {
2963       a[r]   = offdiagA[r];
2964       idx[r] = cmap[offdiagIdx[r]];
2965     }
2966   }
2967   ierr = VecRestoreArray(v,        &a);CHKERRQ(ierr);
2968   ierr = VecRestoreArray(diagV,    &diagA);CHKERRQ(ierr);
2969   ierr = VecRestoreArray(offdiagV, &offdiagA);CHKERRQ(ierr);
2970   ierr = VecDestroy(&diagV);CHKERRQ(ierr);
2971   ierr = VecDestroy(&offdiagV);CHKERRQ(ierr);
2972   ierr = PetscFree2(diagIdx, offdiagIdx);CHKERRQ(ierr);
2973   PetscFunctionReturn(0);
2974 }
2975 
2976 #undef __FUNCT__
2977 #define __FUNCT__ "MatGetSeqNonzeroStructure_MPIAIJ"
2978 PetscErrorCode MatGetSeqNonzeroStructure_MPIAIJ(Mat mat,Mat *newmat)
2979 {
2980   PetscErrorCode ierr;
2981   Mat            *dummy;
2982 
2983   PetscFunctionBegin;
2984   ierr = MatGetSubMatrix_MPIAIJ_All(mat,MAT_DO_NOT_GET_VALUES,MAT_INITIAL_MATRIX,&dummy);CHKERRQ(ierr);
2985   *newmat = *dummy;
2986   ierr = PetscFree(dummy);CHKERRQ(ierr);
2987   PetscFunctionReturn(0);
2988 }
2989 
2990 extern PetscErrorCode  MatFDColoringApply_AIJ(Mat,MatFDColoring,Vec,MatStructure*,void*);
2991 
2992 #undef __FUNCT__
2993 #define __FUNCT__ "MatInvertBlockDiagonal_MPIAIJ"
2994 PetscErrorCode  MatInvertBlockDiagonal_MPIAIJ(Mat A,PetscScalar **values)
2995 {
2996   Mat_MPIAIJ    *a = (Mat_MPIAIJ*) A->data;
2997   PetscErrorCode ierr;
2998 
2999   PetscFunctionBegin;
3000   ierr = MatInvertBlockDiagonal(a->A,values);CHKERRQ(ierr);
3001   PetscFunctionReturn(0);
3002 }
3003 
3004 
3005 /* -------------------------------------------------------------------*/
3006 static struct _MatOps MatOps_Values = {MatSetValues_MPIAIJ,
3007        MatGetRow_MPIAIJ,
3008        MatRestoreRow_MPIAIJ,
3009        MatMult_MPIAIJ,
3010 /* 4*/ MatMultAdd_MPIAIJ,
3011        MatMultTranspose_MPIAIJ,
3012        MatMultTransposeAdd_MPIAIJ,
3013 #ifdef PETSC_HAVE_PBGL
3014        MatSolve_MPIAIJ,
3015 #else
3016        0,
3017 #endif
3018        0,
3019        0,
3020 /*10*/ 0,
3021        0,
3022        0,
3023        MatSOR_MPIAIJ,
3024        MatTranspose_MPIAIJ,
3025 /*15*/ MatGetInfo_MPIAIJ,
3026        MatEqual_MPIAIJ,
3027        MatGetDiagonal_MPIAIJ,
3028        MatDiagonalScale_MPIAIJ,
3029        MatNorm_MPIAIJ,
3030 /*20*/ MatAssemblyBegin_MPIAIJ,
3031        MatAssemblyEnd_MPIAIJ,
3032        MatSetOption_MPIAIJ,
3033        MatZeroEntries_MPIAIJ,
3034 /*24*/ MatZeroRows_MPIAIJ,
3035        0,
3036 #ifdef PETSC_HAVE_PBGL
3037        0,
3038 #else
3039        0,
3040 #endif
3041        0,
3042        0,
3043 /*29*/ MatSetUp_MPIAIJ,
3044 #ifdef PETSC_HAVE_PBGL
3045        0,
3046 #else
3047        0,
3048 #endif
3049        0,
3050        0,
3051        0,
3052 /*34*/ MatDuplicate_MPIAIJ,
3053        0,
3054        0,
3055        0,
3056        0,
3057 /*39*/ MatAXPY_MPIAIJ,
3058        MatGetSubMatrices_MPIAIJ,
3059        MatIncreaseOverlap_MPIAIJ,
3060        MatGetValues_MPIAIJ,
3061        MatCopy_MPIAIJ,
3062 /*44*/ MatGetRowMax_MPIAIJ,
3063        MatScale_MPIAIJ,
3064        0,
3065        0,
3066        MatZeroRowsColumns_MPIAIJ,
3067 /*49*/ 0,
3068        0,
3069        0,
3070        0,
3071        0,
3072 /*54*/ MatFDColoringCreate_MPIAIJ,
3073        0,
3074        MatSetUnfactored_MPIAIJ,
3075        MatPermute_MPIAIJ,
3076        0,
3077 /*59*/ MatGetSubMatrix_MPIAIJ,
3078        MatDestroy_MPIAIJ,
3079        MatView_MPIAIJ,
3080        0,
3081        0,
3082 /*64*/ 0,
3083        0,
3084        0,
3085        0,
3086        0,
3087 /*69*/ MatGetRowMaxAbs_MPIAIJ,
3088        MatGetRowMinAbs_MPIAIJ,
3089        0,
3090        MatSetColoring_MPIAIJ,
3091 #if defined(PETSC_HAVE_ADIC)
3092        MatSetValuesAdic_MPIAIJ,
3093 #else
3094        0,
3095 #endif
3096        MatSetValuesAdifor_MPIAIJ,
3097 /*75*/ MatFDColoringApply_AIJ,
3098        0,
3099        0,
3100        0,
3101        0,
3102 /*80*/ 0,
3103        0,
3104        0,
3105 /*83*/ MatLoad_MPIAIJ,
3106        0,
3107        0,
3108        0,
3109        0,
3110        0,
3111 /*89*/ MatMatMult_MPIAIJ_MPIAIJ,
3112        MatMatMultSymbolic_MPIAIJ_MPIAIJ,
3113        MatMatMultNumeric_MPIAIJ_MPIAIJ,
3114        MatPtAP_Basic,
3115        MatPtAPSymbolic_MPIAIJ,
3116 /*94*/ MatPtAPNumeric_MPIAIJ,
3117        0,
3118        0,
3119        0,
3120        0,
3121 /*99*/ 0,
3122        MatPtAPSymbolic_MPIAIJ_MPIAIJ,
3123        MatPtAPNumeric_MPIAIJ_MPIAIJ,
3124        MatConjugate_MPIAIJ,
3125        0,
3126 /*104*/MatSetValuesRow_MPIAIJ,
3127        MatRealPart_MPIAIJ,
3128        MatImaginaryPart_MPIAIJ,
3129        0,
3130        0,
3131 /*109*/0,
3132        MatGetRedundantMatrix_MPIAIJ,
3133        MatGetRowMin_MPIAIJ,
3134        0,
3135        0,
3136 /*114*/MatGetSeqNonzeroStructure_MPIAIJ,
3137        0,
3138        0,
3139        0,
3140        0,
3141 /*119*/0,
3142        0,
3143        0,
3144        0,
3145        MatGetMultiProcBlock_MPIAIJ,
3146 /*124*/MatFindNonZeroRows_MPIAIJ,
3147        MatGetColumnNorms_MPIAIJ,
3148        MatInvertBlockDiagonal_MPIAIJ,
3149        0,
3150        MatGetSubMatricesParallel_MPIAIJ,
3151 /*129*/0,
3152        MatTransposeMatMult_MPIAIJ_MPIAIJ,
3153        MatTransposeMatMultSymbolic_MPIAIJ_MPIAIJ,
3154        MatTransposeMatMultNumeric_MPIAIJ_MPIAIJ,
3155        0,
3156 /*134*/0,
3157        0,
3158        0,
3159        0,
3160        0
3161 };
3162 
3163 /* ----------------------------------------------------------------------------------------*/
3164 
3165 EXTERN_C_BEGIN
3166 #undef __FUNCT__
3167 #define __FUNCT__ "MatStoreValues_MPIAIJ"
3168 PetscErrorCode  MatStoreValues_MPIAIJ(Mat mat)
3169 {
3170   Mat_MPIAIJ     *aij = (Mat_MPIAIJ *)mat->data;
3171   PetscErrorCode ierr;
3172 
3173   PetscFunctionBegin;
3174   ierr = MatStoreValues(aij->A);CHKERRQ(ierr);
3175   ierr = MatStoreValues(aij->B);CHKERRQ(ierr);
3176   PetscFunctionReturn(0);
3177 }
3178 EXTERN_C_END
3179 
3180 EXTERN_C_BEGIN
3181 #undef __FUNCT__
3182 #define __FUNCT__ "MatRetrieveValues_MPIAIJ"
3183 PetscErrorCode  MatRetrieveValues_MPIAIJ(Mat mat)
3184 {
3185   Mat_MPIAIJ     *aij = (Mat_MPIAIJ *)mat->data;
3186   PetscErrorCode ierr;
3187 
3188   PetscFunctionBegin;
3189   ierr = MatRetrieveValues(aij->A);CHKERRQ(ierr);
3190   ierr = MatRetrieveValues(aij->B);CHKERRQ(ierr);
3191   PetscFunctionReturn(0);
3192 }
3193 EXTERN_C_END
3194 
3195 EXTERN_C_BEGIN
3196 #undef __FUNCT__
3197 #define __FUNCT__ "MatMPIAIJSetPreallocation_MPIAIJ"
3198 PetscErrorCode  MatMPIAIJSetPreallocation_MPIAIJ(Mat B,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
3199 {
3200   Mat_MPIAIJ     *b;
3201   PetscErrorCode ierr;
3202   PetscInt       i;
3203   PetscBool      d_realalloc = PETSC_FALSE,o_realalloc = PETSC_FALSE;
3204 
3205   PetscFunctionBegin;
3206   if (d_nz >= 0 || d_nnz) d_realalloc = PETSC_TRUE;
3207   if (o_nz >= 0 || o_nnz) o_realalloc = PETSC_TRUE;
3208   if (d_nz == PETSC_DEFAULT || d_nz == PETSC_DECIDE) d_nz = 5;
3209   if (o_nz == PETSC_DEFAULT || o_nz == PETSC_DECIDE) o_nz = 2;
3210   if (d_nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"d_nz cannot be less than 0: value %D",d_nz);
3211   if (o_nz < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"o_nz cannot be less than 0: value %D",o_nz);
3212 
3213   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3214   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3215   if (d_nnz) {
3216     for (i=0; i<B->rmap->n; i++) {
3217       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]);
3218     }
3219   }
3220   if (o_nnz) {
3221     for (i=0; i<B->rmap->n; i++) {
3222       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]);
3223     }
3224   }
3225   b = (Mat_MPIAIJ*)B->data;
3226 
3227   if (!B->preallocated) {
3228     /* Explicitly create 2 MATSEQAIJ matrices. */
3229     ierr = MatCreate(PETSC_COMM_SELF,&b->A);CHKERRQ(ierr);
3230     ierr = MatSetSizes(b->A,B->rmap->n,B->cmap->n,B->rmap->n,B->cmap->n);CHKERRQ(ierr);
3231     ierr = MatSetType(b->A,MATSEQAIJ);CHKERRQ(ierr);
3232     ierr = PetscLogObjectParent(B,b->A);CHKERRQ(ierr);
3233     ierr = MatCreate(PETSC_COMM_SELF,&b->B);CHKERRQ(ierr);
3234     ierr = MatSetSizes(b->B,B->rmap->n,B->cmap->N,B->rmap->n,B->cmap->N);CHKERRQ(ierr);
3235     ierr = MatSetType(b->B,MATSEQAIJ);CHKERRQ(ierr);
3236     ierr = PetscLogObjectParent(B,b->B);CHKERRQ(ierr);
3237   }
3238 
3239   ierr = MatSeqAIJSetPreallocation(b->A,d_nz,d_nnz);CHKERRQ(ierr);
3240   ierr = MatSeqAIJSetPreallocation(b->B,o_nz,o_nnz);CHKERRQ(ierr);
3241   /* Do not error if the user did not give real preallocation information. Ugly because this would overwrite a previous user call to MatSetOption(). */
3242   if (!d_realalloc) {ierr = MatSetOption(b->A,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);}
3243   if (!o_realalloc) {ierr = MatSetOption(b->B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);}
3244   B->preallocated = PETSC_TRUE;
3245   PetscFunctionReturn(0);
3246 }
3247 EXTERN_C_END
3248 
3249 #undef __FUNCT__
3250 #define __FUNCT__ "MatDuplicate_MPIAIJ"
3251 PetscErrorCode MatDuplicate_MPIAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
3252 {
3253   Mat            mat;
3254   Mat_MPIAIJ     *a,*oldmat = (Mat_MPIAIJ*)matin->data;
3255   PetscErrorCode ierr;
3256 
3257   PetscFunctionBegin;
3258   *newmat       = 0;
3259   ierr = MatCreate(((PetscObject)matin)->comm,&mat);CHKERRQ(ierr);
3260   ierr = MatSetSizes(mat,matin->rmap->n,matin->cmap->n,matin->rmap->N,matin->cmap->N);CHKERRQ(ierr);
3261   ierr = MatSetBlockSizes(mat,matin->rmap->bs,matin->cmap->bs);CHKERRQ(ierr);
3262   ierr = MatSetType(mat,((PetscObject)matin)->type_name);CHKERRQ(ierr);
3263   ierr = PetscMemcpy(mat->ops,matin->ops,sizeof(struct _MatOps));CHKERRQ(ierr);
3264   a    = (Mat_MPIAIJ*)mat->data;
3265 
3266   mat->factortype    = matin->factortype;
3267   mat->rmap->bs      = matin->rmap->bs;
3268   mat->cmap->bs      = matin->cmap->bs;
3269   mat->assembled    = PETSC_TRUE;
3270   mat->insertmode   = NOT_SET_VALUES;
3271   mat->preallocated = PETSC_TRUE;
3272 
3273   a->size           = oldmat->size;
3274   a->rank           = oldmat->rank;
3275   a->donotstash     = oldmat->donotstash;
3276   a->roworiented    = oldmat->roworiented;
3277   a->rowindices     = 0;
3278   a->rowvalues      = 0;
3279   a->getrowactive   = PETSC_FALSE;
3280 
3281   ierr = PetscLayoutReference(matin->rmap,&mat->rmap);CHKERRQ(ierr);
3282   ierr = PetscLayoutReference(matin->cmap,&mat->cmap);CHKERRQ(ierr);
3283 
3284   if (oldmat->colmap) {
3285 #if defined (PETSC_USE_CTABLE)
3286     ierr = PetscTableCreateCopy(oldmat->colmap,&a->colmap);CHKERRQ(ierr);
3287 #else
3288     ierr = PetscMalloc((mat->cmap->N)*sizeof(PetscInt),&a->colmap);CHKERRQ(ierr);
3289     ierr = PetscLogObjectMemory(mat,(mat->cmap->N)*sizeof(PetscInt));CHKERRQ(ierr);
3290     ierr = PetscMemcpy(a->colmap,oldmat->colmap,(mat->cmap->N)*sizeof(PetscInt));CHKERRQ(ierr);
3291 #endif
3292   } else a->colmap = 0;
3293   if (oldmat->garray) {
3294     PetscInt len;
3295     len  = oldmat->B->cmap->n;
3296     ierr = PetscMalloc((len+1)*sizeof(PetscInt),&a->garray);CHKERRQ(ierr);
3297     ierr = PetscLogObjectMemory(mat,len*sizeof(PetscInt));CHKERRQ(ierr);
3298     if (len) { ierr = PetscMemcpy(a->garray,oldmat->garray,len*sizeof(PetscInt));CHKERRQ(ierr); }
3299   } else a->garray = 0;
3300 
3301   ierr = VecDuplicate(oldmat->lvec,&a->lvec);CHKERRQ(ierr);
3302   ierr = PetscLogObjectParent(mat,a->lvec);CHKERRQ(ierr);
3303   ierr = VecScatterCopy(oldmat->Mvctx,&a->Mvctx);CHKERRQ(ierr);
3304   ierr = PetscLogObjectParent(mat,a->Mvctx);CHKERRQ(ierr);
3305   ierr = MatDuplicate(oldmat->A,cpvalues,&a->A);CHKERRQ(ierr);
3306   ierr = PetscLogObjectParent(mat,a->A);CHKERRQ(ierr);
3307   ierr = MatDuplicate(oldmat->B,cpvalues,&a->B);CHKERRQ(ierr);
3308   ierr = PetscLogObjectParent(mat,a->B);CHKERRQ(ierr);
3309   ierr = PetscFListDuplicate(((PetscObject)matin)->qlist,&((PetscObject)mat)->qlist);CHKERRQ(ierr);
3310   *newmat = mat;
3311   PetscFunctionReturn(0);
3312 }
3313 
3314 
3315 
3316 #undef __FUNCT__
3317 #define __FUNCT__ "MatLoad_MPIAIJ"
3318 PetscErrorCode MatLoad_MPIAIJ(Mat newMat, PetscViewer viewer)
3319 {
3320   PetscScalar    *vals,*svals;
3321   MPI_Comm       comm = ((PetscObject)viewer)->comm;
3322   PetscErrorCode ierr;
3323   PetscMPIInt    rank,size,tag = ((PetscObject)viewer)->tag;
3324   PetscInt       i,nz,j,rstart,rend,mmax,maxnz = 0,grows,gcols;
3325   PetscInt       header[4],*rowlengths = 0,M,N,m,*cols;
3326   PetscInt       *ourlens = PETSC_NULL,*procsnz = PETSC_NULL,*offlens = PETSC_NULL,jj,*mycols,*smycols;
3327   PetscInt       cend,cstart,n,*rowners,sizesset=1;
3328   int            fd;
3329 
3330   PetscFunctionBegin;
3331   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3332   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
3333   if (!rank) {
3334     ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
3335     ierr = PetscBinaryRead(fd,(char *)header,4,PETSC_INT);CHKERRQ(ierr);
3336     if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
3337   }
3338 
3339   if (newMat->rmap->n < 0 && newMat->rmap->N < 0 && newMat->cmap->n < 0 && newMat->cmap->N < 0) sizesset = 0;
3340 
3341   ierr = MPI_Bcast(header+1,3,MPIU_INT,0,comm);CHKERRQ(ierr);
3342   M = header[1]; N = header[2];
3343   /* If global rows/cols are set to PETSC_DECIDE, set it to the sizes given in the file */
3344   if (sizesset && newMat->rmap->N < 0) newMat->rmap->N = M;
3345   if (sizesset && newMat->cmap->N < 0) newMat->cmap->N = N;
3346 
3347   /* If global sizes are set, check if they are consistent with that given in the file */
3348   if (sizesset) {
3349     ierr = MatGetSize(newMat,&grows,&gcols);CHKERRQ(ierr);
3350   }
3351   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);
3352   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);
3353 
3354   /* determine ownership of all rows */
3355   if (newMat->rmap->n < 0 ) m    = M/size + ((M % size) > rank); /* PETSC_DECIDE */
3356   else m = newMat->rmap->n; /* Set by user */
3357 
3358   ierr = PetscMalloc((size+1)*sizeof(PetscInt),&rowners);CHKERRQ(ierr);
3359   ierr = MPI_Allgather(&m,1,MPIU_INT,rowners+1,1,MPIU_INT,comm);CHKERRQ(ierr);
3360 
3361   /* First process needs enough room for process with most rows */
3362   if (!rank) {
3363     mmax       = rowners[1];
3364     for (i=2; i<size; i++) {
3365       mmax = PetscMax(mmax,rowners[i]);
3366     }
3367   } else mmax = m;
3368 
3369   rowners[0] = 0;
3370   for (i=2; i<=size; i++) {
3371     rowners[i] += rowners[i-1];
3372   }
3373   rstart = rowners[rank];
3374   rend   = rowners[rank+1];
3375 
3376   /* distribute row lengths to all processors */
3377   ierr    = PetscMalloc2(mmax,PetscInt,&ourlens,mmax,PetscInt,&offlens);CHKERRQ(ierr);
3378   if (!rank) {
3379     ierr = PetscBinaryRead(fd,ourlens,m,PETSC_INT);CHKERRQ(ierr);
3380     ierr = PetscMalloc(m*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
3381     ierr = PetscMalloc(size*sizeof(PetscInt),&procsnz);CHKERRQ(ierr);
3382     ierr = PetscMemzero(procsnz,size*sizeof(PetscInt));CHKERRQ(ierr);
3383     for (j=0; j<m; j++) {
3384       procsnz[0] += ourlens[j];
3385     }
3386     for (i=1; i<size; i++) {
3387       ierr = PetscBinaryRead(fd,rowlengths,rowners[i+1]-rowners[i],PETSC_INT);CHKERRQ(ierr);
3388       /* calculate the number of nonzeros on each processor */
3389       for (j=0; j<rowners[i+1]-rowners[i]; j++) {
3390         procsnz[i] += rowlengths[j];
3391       }
3392       ierr = MPIULong_Send(rowlengths,rowners[i+1]-rowners[i],MPIU_INT,i,tag,comm);CHKERRQ(ierr);
3393     }
3394     ierr = PetscFree(rowlengths);CHKERRQ(ierr);
3395   } else {
3396     ierr = MPIULong_Recv(ourlens,m,MPIU_INT,0,tag,comm);CHKERRQ(ierr);
3397   }
3398 
3399   if (!rank) {
3400     /* determine max buffer needed and allocate it */
3401     maxnz = 0;
3402     for (i=0; i<size; i++) {
3403       maxnz = PetscMax(maxnz,procsnz[i]);
3404     }
3405     ierr = PetscMalloc(maxnz*sizeof(PetscInt),&cols);CHKERRQ(ierr);
3406 
3407     /* read in my part of the matrix column indices  */
3408     nz   = procsnz[0];
3409     ierr = PetscMalloc(nz*sizeof(PetscInt),&mycols);CHKERRQ(ierr);
3410     ierr = PetscBinaryRead(fd,mycols,nz,PETSC_INT);CHKERRQ(ierr);
3411 
3412     /* read in every one elses and ship off */
3413     for (i=1; i<size; i++) {
3414       nz     = procsnz[i];
3415       ierr   = PetscBinaryRead(fd,cols,nz,PETSC_INT);CHKERRQ(ierr);
3416       ierr   = MPIULong_Send(cols,nz,MPIU_INT,i,tag,comm);CHKERRQ(ierr);
3417     }
3418     ierr = PetscFree(cols);CHKERRQ(ierr);
3419   } else {
3420     /* determine buffer space needed for message */
3421     nz = 0;
3422     for (i=0; i<m; i++) {
3423       nz += ourlens[i];
3424     }
3425     ierr = PetscMalloc(nz*sizeof(PetscInt),&mycols);CHKERRQ(ierr);
3426 
3427     /* receive message of column indices*/
3428     ierr = MPIULong_Recv(mycols,nz,MPIU_INT,0,tag,comm);CHKERRQ(ierr);
3429   }
3430 
3431   /* determine column ownership if matrix is not square */
3432   if (N != M) {
3433     if (newMat->cmap->n < 0) n      = N/size + ((N % size) > rank);
3434     else n = newMat->cmap->n;
3435     ierr   = MPI_Scan(&n,&cend,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
3436     cstart = cend - n;
3437   } else {
3438     cstart = rstart;
3439     cend   = rend;
3440     n      = cend - cstart;
3441   }
3442 
3443   /* loop over local rows, determining number of off diagonal entries */
3444   ierr = PetscMemzero(offlens,m*sizeof(PetscInt));CHKERRQ(ierr);
3445   jj = 0;
3446   for (i=0; i<m; i++) {
3447     for (j=0; j<ourlens[i]; j++) {
3448       if (mycols[jj] < cstart || mycols[jj] >= cend) offlens[i]++;
3449       jj++;
3450     }
3451   }
3452 
3453   for (i=0; i<m; i++) {
3454     ourlens[i] -= offlens[i];
3455   }
3456   if (!sizesset) {
3457     ierr = MatSetSizes(newMat,m,n,M,N);CHKERRQ(ierr);
3458   }
3459   ierr = MatMPIAIJSetPreallocation(newMat,0,ourlens,0,offlens);CHKERRQ(ierr);
3460 
3461   for (i=0; i<m; i++) {
3462     ourlens[i] += offlens[i];
3463   }
3464 
3465   if (!rank) {
3466     ierr = PetscMalloc((maxnz+1)*sizeof(PetscScalar),&vals);CHKERRQ(ierr);
3467 
3468     /* read in my part of the matrix numerical values  */
3469     nz   = procsnz[0];
3470     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3471 
3472     /* insert into matrix */
3473     jj      = rstart;
3474     smycols = mycols;
3475     svals   = vals;
3476     for (i=0; i<m; i++) {
3477       ierr = MatSetValues_MPIAIJ(newMat,1,&jj,ourlens[i],smycols,svals,INSERT_VALUES);CHKERRQ(ierr);
3478       smycols += ourlens[i];
3479       svals   += ourlens[i];
3480       jj++;
3481     }
3482 
3483     /* read in other processors and ship out */
3484     for (i=1; i<size; i++) {
3485       nz     = procsnz[i];
3486       ierr   = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);CHKERRQ(ierr);
3487       ierr   = MPIULong_Send(vals,nz,MPIU_SCALAR,i,((PetscObject)newMat)->tag,comm);CHKERRQ(ierr);
3488     }
3489     ierr = PetscFree(procsnz);CHKERRQ(ierr);
3490   } else {
3491     /* receive numeric values */
3492     ierr = PetscMalloc((nz+1)*sizeof(PetscScalar),&vals);CHKERRQ(ierr);
3493 
3494     /* receive message of values*/
3495     ierr   = MPIULong_Recv(vals,nz,MPIU_SCALAR,0,((PetscObject)newMat)->tag,comm);CHKERRQ(ierr);
3496 
3497     /* insert into matrix */
3498     jj      = rstart;
3499     smycols = mycols;
3500     svals   = vals;
3501     for (i=0; i<m; i++) {
3502       ierr     = MatSetValues_MPIAIJ(newMat,1,&jj,ourlens[i],smycols,svals,INSERT_VALUES);CHKERRQ(ierr);
3503       smycols += ourlens[i];
3504       svals   += ourlens[i];
3505       jj++;
3506     }
3507   }
3508   ierr = PetscFree2(ourlens,offlens);CHKERRQ(ierr);
3509   ierr = PetscFree(vals);CHKERRQ(ierr);
3510   ierr = PetscFree(mycols);CHKERRQ(ierr);
3511   ierr = PetscFree(rowners);CHKERRQ(ierr);
3512   ierr = MatAssemblyBegin(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3513   ierr = MatAssemblyEnd(newMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3514   PetscFunctionReturn(0);
3515 }
3516 
3517 #undef __FUNCT__
3518 #define __FUNCT__ "MatGetSubMatrix_MPIAIJ"
3519 PetscErrorCode MatGetSubMatrix_MPIAIJ(Mat mat,IS isrow,IS iscol,MatReuse call,Mat *newmat)
3520 {
3521   PetscErrorCode ierr;
3522   IS             iscol_local;
3523   PetscInt       csize;
3524 
3525   PetscFunctionBegin;
3526   ierr = ISGetLocalSize(iscol,&csize);CHKERRQ(ierr);
3527   if (call == MAT_REUSE_MATRIX) {
3528     ierr = PetscObjectQuery((PetscObject)*newmat,"ISAllGather",(PetscObject*)&iscol_local);CHKERRQ(ierr);
3529     if (!iscol_local) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Submatrix passed in was not used before, cannot reuse");
3530   } else {
3531     ierr = ISAllGather(iscol,&iscol_local);CHKERRQ(ierr);
3532   }
3533   ierr = MatGetSubMatrix_MPIAIJ_Private(mat,isrow,iscol_local,csize,call,newmat);CHKERRQ(ierr);
3534   if (call == MAT_INITIAL_MATRIX) {
3535     ierr = PetscObjectCompose((PetscObject)*newmat,"ISAllGather",(PetscObject)iscol_local);CHKERRQ(ierr);
3536     ierr = ISDestroy(&iscol_local);CHKERRQ(ierr);
3537   }
3538   PetscFunctionReturn(0);
3539 }
3540 
3541 #undef __FUNCT__
3542 #define __FUNCT__ "MatGetSubMatrix_MPIAIJ_Private"
3543 /*
3544     Not great since it makes two copies of the submatrix, first an SeqAIJ
3545   in local and then by concatenating the local matrices the end result.
3546   Writing it directly would be much like MatGetSubMatrices_MPIAIJ()
3547 
3548   Note: This requires a sequential iscol with all indices.
3549 */
3550 PetscErrorCode MatGetSubMatrix_MPIAIJ_Private(Mat mat,IS isrow,IS iscol,PetscInt csize,MatReuse call,Mat *newmat)
3551 {
3552   PetscErrorCode ierr;
3553   PetscMPIInt    rank,size;
3554   PetscInt       i,m,n,rstart,row,rend,nz,*cwork,j,bs,cbs;
3555   PetscInt       *ii,*jj,nlocal,*dlens,*olens,dlen,olen,jend,mglobal;
3556   Mat            *local,M,Mreuse;
3557   MatScalar      *vwork,*aa;
3558   MPI_Comm       comm = ((PetscObject)mat)->comm;
3559   Mat_SeqAIJ     *aij;
3560 
3561 
3562   PetscFunctionBegin;
3563   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
3564   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3565 
3566   if (call ==  MAT_REUSE_MATRIX) {
3567     ierr = PetscObjectQuery((PetscObject)*newmat,"SubMatrix",(PetscObject *)&Mreuse);CHKERRQ(ierr);
3568     if (!Mreuse) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Submatrix passed in was not used before, cannot reuse");
3569     local = &Mreuse;
3570     ierr  = MatGetSubMatrices(mat,1,&isrow,&iscol,MAT_REUSE_MATRIX,&local);CHKERRQ(ierr);
3571   } else {
3572     ierr   = MatGetSubMatrices(mat,1,&isrow,&iscol,MAT_INITIAL_MATRIX,&local);CHKERRQ(ierr);
3573     Mreuse = *local;
3574     ierr   = PetscFree(local);CHKERRQ(ierr);
3575   }
3576 
3577   /*
3578       m - number of local rows
3579       n - number of columns (same on all processors)
3580       rstart - first row in new global matrix generated
3581   */
3582   ierr = MatGetSize(Mreuse,&m,&n);CHKERRQ(ierr);
3583   ierr = MatGetBlockSizes(Mreuse,&bs,&cbs);CHKERRQ(ierr);
3584   if (call == MAT_INITIAL_MATRIX) {
3585     aij = (Mat_SeqAIJ*)(Mreuse)->data;
3586     ii  = aij->i;
3587     jj  = aij->j;
3588 
3589     /*
3590         Determine the number of non-zeros in the diagonal and off-diagonal
3591         portions of the matrix in order to do correct preallocation
3592     */
3593 
3594     /* first get start and end of "diagonal" columns */
3595     if (csize == PETSC_DECIDE) {
3596       ierr = ISGetSize(isrow,&mglobal);CHKERRQ(ierr);
3597       if (mglobal == n) { /* square matrix */
3598 	nlocal = m;
3599       } else {
3600         nlocal = n/size + ((n % size) > rank);
3601       }
3602     } else {
3603       nlocal = csize;
3604     }
3605     ierr   = MPI_Scan(&nlocal,&rend,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
3606     rstart = rend - nlocal;
3607     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);
3608 
3609     /* next, compute all the lengths */
3610     ierr  = PetscMalloc((2*m+1)*sizeof(PetscInt),&dlens);CHKERRQ(ierr);
3611     olens = dlens + m;
3612     for (i=0; i<m; i++) {
3613       jend = ii[i+1] - ii[i];
3614       olen = 0;
3615       dlen = 0;
3616       for (j=0; j<jend; j++) {
3617         if (*jj < rstart || *jj >= rend) olen++;
3618         else dlen++;
3619         jj++;
3620       }
3621       olens[i] = olen;
3622       dlens[i] = dlen;
3623     }
3624     ierr = MatCreate(comm,&M);CHKERRQ(ierr);
3625     ierr = MatSetSizes(M,m,nlocal,PETSC_DECIDE,n);CHKERRQ(ierr);
3626     ierr = MatSetBlockSizes(M,bs,cbs); CHKERRQ(ierr);
3627     ierr = MatSetType(M,((PetscObject)mat)->type_name);CHKERRQ(ierr);
3628     ierr = MatMPIAIJSetPreallocation(M,0,dlens,0,olens);CHKERRQ(ierr);
3629     ierr = PetscFree(dlens);CHKERRQ(ierr);
3630   } else {
3631     PetscInt ml,nl;
3632 
3633     M = *newmat;
3634     ierr = MatGetLocalSize(M,&ml,&nl);CHKERRQ(ierr);
3635     if (ml != m) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Previous matrix must be same size/layout as request");
3636     ierr = MatZeroEntries(M);CHKERRQ(ierr);
3637     /*
3638          The next two lines are needed so we may call MatSetValues_MPIAIJ() below directly,
3639        rather than the slower MatSetValues().
3640     */
3641     M->was_assembled = PETSC_TRUE;
3642     M->assembled     = PETSC_FALSE;
3643   }
3644   ierr = MatGetOwnershipRange(M,&rstart,&rend);CHKERRQ(ierr);
3645   aij = (Mat_SeqAIJ*)(Mreuse)->data;
3646   ii  = aij->i;
3647   jj  = aij->j;
3648   aa  = aij->a;
3649   for (i=0; i<m; i++) {
3650     row   = rstart + i;
3651     nz    = ii[i+1] - ii[i];
3652     cwork = jj;     jj += nz;
3653     vwork = aa;     aa += nz;
3654     ierr = MatSetValues_MPIAIJ(M,1,&row,nz,cwork,vwork,INSERT_VALUES);CHKERRQ(ierr);
3655   }
3656 
3657   ierr = MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3658   ierr = MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3659   *newmat = M;
3660 
3661   /* save submatrix used in processor for next request */
3662   if (call ==  MAT_INITIAL_MATRIX) {
3663     ierr = PetscObjectCompose((PetscObject)M,"SubMatrix",(PetscObject)Mreuse);CHKERRQ(ierr);
3664     ierr = MatDestroy(&Mreuse);CHKERRQ(ierr);
3665   }
3666 
3667   PetscFunctionReturn(0);
3668 }
3669 
3670 EXTERN_C_BEGIN
3671 #undef __FUNCT__
3672 #define __FUNCT__ "MatMPIAIJSetPreallocationCSR_MPIAIJ"
3673 PetscErrorCode  MatMPIAIJSetPreallocationCSR_MPIAIJ(Mat B,const PetscInt Ii[],const PetscInt J[],const PetscScalar v[])
3674 {
3675   PetscInt       m,cstart, cend,j,nnz,i,d;
3676   PetscInt       *d_nnz,*o_nnz,nnz_max = 0,rstart,ii;
3677   const PetscInt *JJ;
3678   PetscScalar    *values;
3679   PetscErrorCode ierr;
3680 
3681   PetscFunctionBegin;
3682   if (Ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Ii[0] must be 0 it is %D",Ii[0]);
3683 
3684   ierr = PetscLayoutSetUp(B->rmap);CHKERRQ(ierr);
3685   ierr = PetscLayoutSetUp(B->cmap);CHKERRQ(ierr);
3686   m      = B->rmap->n;
3687   cstart = B->cmap->rstart;
3688   cend   = B->cmap->rend;
3689   rstart = B->rmap->rstart;
3690 
3691   ierr  = PetscMalloc2(m,PetscInt,&d_nnz,m,PetscInt,&o_nnz);CHKERRQ(ierr);
3692 
3693 #if defined(PETSC_USE_DEBUGGING)
3694   for (i=0; i<m; i++) {
3695     nnz     = Ii[i+1]- Ii[i];
3696     JJ      = J + Ii[i];
3697     if (nnz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Local row %D has a negative %D number of columns",i,nnz);
3698     if (nnz && (JJ[0] < 0)) SETERRRQ1(PETSC_ERR_ARG_WRONGSTATE,"Row %D starts with negative column index",i,j);
3699     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);
3700   }
3701 #endif
3702 
3703   for (i=0; i<m; i++) {
3704     nnz     = Ii[i+1]- Ii[i];
3705     JJ      = J + Ii[i];
3706     nnz_max = PetscMax(nnz_max,nnz);
3707     d       = 0;
3708     for (j=0; j<nnz; j++) {
3709       if (cstart <= JJ[j] && JJ[j] < cend) d++;
3710     }
3711     d_nnz[i] = d;
3712     o_nnz[i] = nnz - d;
3713   }
3714   ierr = MatMPIAIJSetPreallocation(B,0,d_nnz,0,o_nnz);CHKERRQ(ierr);
3715   ierr = PetscFree2(d_nnz,o_nnz);CHKERRQ(ierr);
3716 
3717   if (v) values = (PetscScalar*)v;
3718   else {
3719     ierr = PetscMalloc((nnz_max+1)*sizeof(PetscScalar),&values);CHKERRQ(ierr);
3720     ierr = PetscMemzero(values,nnz_max*sizeof(PetscScalar));CHKERRQ(ierr);
3721   }
3722 
3723   for (i=0; i<m; i++) {
3724     ii   = i + rstart;
3725     nnz  = Ii[i+1]- Ii[i];
3726     ierr = MatSetValues_MPIAIJ(B,1,&ii,nnz,J+Ii[i],values+(v ? Ii[i] : 0),INSERT_VALUES);CHKERRQ(ierr);
3727   }
3728   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3729   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3730 
3731   if (!v) {
3732     ierr = PetscFree(values);CHKERRQ(ierr);
3733   }
3734   ierr = MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3735   PetscFunctionReturn(0);
3736 }
3737 EXTERN_C_END
3738 
3739 #undef __FUNCT__
3740 #define __FUNCT__ "MatMPIAIJSetPreallocationCSR"
3741 /*@
3742    MatMPIAIJSetPreallocationCSR - Allocates memory for a sparse parallel matrix in AIJ format
3743    (the default parallel PETSc format).
3744 
3745    Collective on MPI_Comm
3746 
3747    Input Parameters:
3748 +  B - the matrix
3749 .  i - the indices into j for the start of each local row (starts with zero)
3750 .  j - the column indices for each local row (starts with zero)
3751 -  v - optional values in the matrix
3752 
3753    Level: developer
3754 
3755    Notes:
3756        The i, j, and a arrays ARE copied by this routine into the internal format used by PETSc;
3757      thus you CANNOT change the matrix entries by changing the values of a[] after you have
3758      called this routine. Use MatCreateMPIAIJWithSplitArrays() to avoid needing to copy the arrays.
3759 
3760        The i and j indices are 0 based, and i indices are indices corresponding to the local j array.
3761 
3762        The format which is used for the sparse matrix input, is equivalent to a
3763     row-major ordering.. i.e for the following matrix, the input data expected is
3764     as shown:
3765 
3766         1 0 0
3767         2 0 3     P0
3768        -------
3769         4 5 6     P1
3770 
3771      Process0 [P0]: rows_owned=[0,1]
3772         i =  {0,1,3}  [size = nrow+1  = 2+1]
3773         j =  {0,0,2}  [size = nz = 6]
3774         v =  {1,2,3}  [size = nz = 6]
3775 
3776      Process1 [P1]: rows_owned=[2]
3777         i =  {0,3}    [size = nrow+1  = 1+1]
3778         j =  {0,1,2}  [size = nz = 6]
3779         v =  {4,5,6}  [size = nz = 6]
3780 
3781 .keywords: matrix, aij, compressed row, sparse, parallel
3782 
3783 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatCreateAIJ(), MPIAIJ,
3784           MatCreateSeqAIJWithArrays(), MatCreateMPIAIJWithSplitArrays()
3785 @*/
3786 PetscErrorCode  MatMPIAIJSetPreallocationCSR(Mat B,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
3787 {
3788   PetscErrorCode ierr;
3789 
3790   PetscFunctionBegin;
3791   ierr = PetscTryMethod(B,"MatMPIAIJSetPreallocationCSR_C",(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,i,j,v));CHKERRQ(ierr);
3792   PetscFunctionReturn(0);
3793 }
3794 
3795 #undef __FUNCT__
3796 #define __FUNCT__ "MatMPIAIJSetPreallocation"
3797 /*@C
3798    MatMPIAIJSetPreallocation - Preallocates memory for a sparse parallel matrix in AIJ format
3799    (the default parallel PETSc format).  For good matrix assembly performance
3800    the user should preallocate the matrix storage by setting the parameters
3801    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
3802    performance can be increased by more than a factor of 50.
3803 
3804    Collective on MPI_Comm
3805 
3806    Input Parameters:
3807 +  A - the matrix
3808 .  d_nz  - number of nonzeros per row in DIAGONAL portion of local submatrix
3809            (same value is used for all local rows)
3810 .  d_nnz - array containing the number of nonzeros in the various rows of the
3811            DIAGONAL portion of the local submatrix (possibly different for each row)
3812            or PETSC_NULL, if d_nz is used to specify the nonzero structure.
3813            The size of this array is equal to the number of local rows, i.e 'm'.
3814            For matrices that will be factored, you must leave room for (and set)
3815            the diagonal entry even if it is zero.
3816 .  o_nz  - number of nonzeros per row in the OFF-DIAGONAL portion of local
3817            submatrix (same value is used for all local rows).
3818 -  o_nnz - array containing the number of nonzeros in the various rows of the
3819            OFF-DIAGONAL portion of the local submatrix (possibly different for
3820            each row) or PETSC_NULL, if o_nz is used to specify the nonzero
3821            structure. The size of this array is equal to the number
3822            of local rows, i.e 'm'.
3823 
3824    If the *_nnz parameter is given then the *_nz parameter is ignored
3825 
3826    The AIJ format (also called the Yale sparse matrix format or
3827    compressed row storage (CSR)), is fully compatible with standard Fortran 77
3828    storage.  The stored row and column indices begin with zero.
3829    See the <A href="../../docs/manual.pdf#nameddest=ch_mat">Mat chapter of the users manual</A> for details.
3830 
3831    The parallel matrix is partitioned such that the first m0 rows belong to
3832    process 0, the next m1 rows belong to process 1, the next m2 rows belong
3833    to process 2 etc.. where m0,m1,m2... are the input parameter 'm'.
3834 
3835    The DIAGONAL portion of the local submatrix of a processor can be defined
3836    as the submatrix which is obtained by extraction the part corresponding to
3837    the rows r1-r2 and columns c1-c2 of the global matrix, where r1 is the
3838    first row that belongs to the processor, r2 is the last row belonging to
3839    the this processor, and c1-c2 is range of indices of the local part of a
3840    vector suitable for applying the matrix to.  This is an mxn matrix.  In the
3841    common case of a square matrix, the row and column ranges are the same and
3842    the DIAGONAL part is also square. The remaining portion of the local
3843    submatrix (mxN) constitute the OFF-DIAGONAL portion.
3844 
3845    If o_nnz, d_nnz are specified, then o_nz, and d_nz are ignored.
3846 
3847    You can call MatGetInfo() to get information on how effective the preallocation was;
3848    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3849    You can also run with the option -info and look for messages with the string
3850    malloc in them to see if additional memory allocation was needed.
3851 
3852    Example usage:
3853 
3854    Consider the following 8x8 matrix with 34 non-zero values, that is
3855    assembled across 3 processors. Lets assume that proc0 owns 3 rows,
3856    proc1 owns 3 rows, proc2 owns 2 rows. This division can be shown
3857    as follows:
3858 
3859 .vb
3860             1  2  0  |  0  3  0  |  0  4
3861     Proc0   0  5  6  |  7  0  0  |  8  0
3862             9  0 10  | 11  0  0  | 12  0
3863     -------------------------------------
3864            13  0 14  | 15 16 17  |  0  0
3865     Proc1   0 18  0  | 19 20 21  |  0  0
3866             0  0  0  | 22 23  0  | 24  0
3867     -------------------------------------
3868     Proc2  25 26 27  |  0  0 28  | 29  0
3869            30  0  0  | 31 32 33  |  0 34
3870 .ve
3871 
3872    This can be represented as a collection of submatrices as:
3873 
3874 .vb
3875       A B C
3876       D E F
3877       G H I
3878 .ve
3879 
3880    Where the submatrices A,B,C are owned by proc0, D,E,F are
3881    owned by proc1, G,H,I are owned by proc2.
3882 
3883    The 'm' parameters for proc0,proc1,proc2 are 3,3,2 respectively.
3884    The 'n' parameters for proc0,proc1,proc2 are 3,3,2 respectively.
3885    The 'M','N' parameters are 8,8, and have the same values on all procs.
3886 
3887    The DIAGONAL submatrices corresponding to proc0,proc1,proc2 are
3888    submatrices [A], [E], [I] respectively. The OFF-DIAGONAL submatrices
3889    corresponding to proc0,proc1,proc2 are [BC], [DF], [GH] respectively.
3890    Internally, each processor stores the DIAGONAL part, and the OFF-DIAGONAL
3891    part as SeqAIJ matrices. for eg: proc1 will store [E] as a SeqAIJ
3892    matrix, ans [DF] as another SeqAIJ matrix.
3893 
3894    When d_nz, o_nz parameters are specified, d_nz storage elements are
3895    allocated for every row of the local diagonal submatrix, and o_nz
3896    storage locations are allocated for every row of the OFF-DIAGONAL submat.
3897    One way to choose d_nz and o_nz is to use the max nonzerors per local
3898    rows for each of the local DIAGONAL, and the OFF-DIAGONAL submatrices.
3899    In this case, the values of d_nz,o_nz are:
3900 .vb
3901      proc0 : dnz = 2, o_nz = 2
3902      proc1 : dnz = 3, o_nz = 2
3903      proc2 : dnz = 1, o_nz = 4
3904 .ve
3905    We are allocating m*(d_nz+o_nz) storage locations for every proc. This
3906    translates to 3*(2+2)=12 for proc0, 3*(3+2)=15 for proc1, 2*(1+4)=10
3907    for proc3. i.e we are using 12+15+10=37 storage locations to store
3908    34 values.
3909 
3910    When d_nnz, o_nnz parameters are specified, the storage is specified
3911    for every row, coresponding to both DIAGONAL and OFF-DIAGONAL submatrices.
3912    In the above case the values for d_nnz,o_nnz are:
3913 .vb
3914      proc0: d_nnz = [2,2,2] and o_nnz = [2,2,2]
3915      proc1: d_nnz = [3,3,2] and o_nnz = [2,1,1]
3916      proc2: d_nnz = [1,1]   and o_nnz = [4,4]
3917 .ve
3918    Here the space allocated is sum of all the above values i.e 34, and
3919    hence pre-allocation is perfect.
3920 
3921    Level: intermediate
3922 
3923 .keywords: matrix, aij, compressed row, sparse, parallel
3924 
3925 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateAIJ(), MatMPIAIJSetPreallocationCSR(),
3926           MPIAIJ, MatGetInfo()
3927 @*/
3928 PetscErrorCode  MatMPIAIJSetPreallocation(Mat B,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
3929 {
3930   PetscErrorCode ierr;
3931 
3932   PetscFunctionBegin;
3933   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3934   PetscValidType(B,1);
3935   ierr = PetscTryMethod(B,"MatMPIAIJSetPreallocation_C",(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]),(B,d_nz,d_nnz,o_nz,o_nnz));CHKERRQ(ierr);
3936   PetscFunctionReturn(0);
3937 }
3938 
3939 #undef __FUNCT__
3940 #define __FUNCT__ "MatCreateMPIAIJWithArrays"
3941 /*@
3942      MatCreateMPIAIJWithArrays - creates a MPI AIJ matrix using arrays that contain in standard
3943          CSR format the local rows.
3944 
3945    Collective on MPI_Comm
3946 
3947    Input Parameters:
3948 +  comm - MPI communicator
3949 .  m - number of local rows (Cannot be PETSC_DECIDE)
3950 .  n - This value should be the same as the local size used in creating the
3951        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
3952        calculated if N is given) For square matrices n is almost always m.
3953 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
3954 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
3955 .   i - row indices
3956 .   j - column indices
3957 -   a - matrix values
3958 
3959    Output Parameter:
3960 .   mat - the matrix
3961 
3962    Level: intermediate
3963 
3964    Notes:
3965        The i, j, and a arrays ARE copied by this routine into the internal format used by PETSc;
3966      thus you CANNOT change the matrix entries by changing the values of a[] after you have
3967      called this routine. Use MatCreateMPIAIJWithSplitArrays() to avoid needing to copy the arrays.
3968 
3969        The i and j indices are 0 based, and i indices are indices corresponding to the local j array.
3970 
3971        The format which is used for the sparse matrix input, is equivalent to a
3972     row-major ordering.. i.e for the following matrix, the input data expected is
3973     as shown:
3974 
3975         1 0 0
3976         2 0 3     P0
3977        -------
3978         4 5 6     P1
3979 
3980      Process0 [P0]: rows_owned=[0,1]
3981         i =  {0,1,3}  [size = nrow+1  = 2+1]
3982         j =  {0,0,2}  [size = nz = 6]
3983         v =  {1,2,3}  [size = nz = 6]
3984 
3985      Process1 [P1]: rows_owned=[2]
3986         i =  {0,3}    [size = nrow+1  = 1+1]
3987         j =  {0,1,2}  [size = nz = 6]
3988         v =  {4,5,6}  [size = nz = 6]
3989 
3990 .keywords: matrix, aij, compressed row, sparse, parallel
3991 
3992 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
3993           MPIAIJ, MatCreateAIJ(), MatCreateMPIAIJWithSplitArrays()
3994 @*/
3995 PetscErrorCode  MatCreateMPIAIJWithArrays(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt i[],const PetscInt j[],const PetscScalar a[],Mat *mat)
3996 {
3997   PetscErrorCode ierr;
3998 
3999   PetscFunctionBegin;
4000   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
4001   if (m < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"local number of rows (m) cannot be PETSC_DECIDE, or negative");
4002   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
4003   ierr = MatSetSizes(*mat,m,n,M,N);CHKERRQ(ierr);
4004   /* ierr = MatSetBlockSizes(M,bs,cbs); CHKERRQ(ierr); */
4005   ierr = MatSetType(*mat,MATMPIAIJ);CHKERRQ(ierr);
4006   ierr = MatMPIAIJSetPreallocationCSR(*mat,i,j,a);CHKERRQ(ierr);
4007   PetscFunctionReturn(0);
4008 }
4009 
4010 #undef __FUNCT__
4011 #define __FUNCT__ "MatCreateAIJ"
4012 /*@C
4013    MatCreateAIJ - Creates a sparse parallel matrix in AIJ format
4014    (the default parallel PETSc format).  For good matrix assembly performance
4015    the user should preallocate the matrix storage by setting the parameters
4016    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
4017    performance can be increased by more than a factor of 50.
4018 
4019    Collective on MPI_Comm
4020 
4021    Input Parameters:
4022 +  comm - MPI communicator
4023 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
4024            This value should be the same as the local size used in creating the
4025            y vector for the matrix-vector product y = Ax.
4026 .  n - This value should be the same as the local size used in creating the
4027        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
4028        calculated if N is given) For square matrices n is almost always m.
4029 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
4030 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
4031 .  d_nz  - number of nonzeros per row in DIAGONAL portion of local submatrix
4032            (same value is used for all local rows)
4033 .  d_nnz - array containing the number of nonzeros in the various rows of the
4034            DIAGONAL portion of the local submatrix (possibly different for each row)
4035            or PETSC_NULL, if d_nz is used to specify the nonzero structure.
4036            The size of this array is equal to the number of local rows, i.e 'm'.
4037 .  o_nz  - number of nonzeros per row in the OFF-DIAGONAL portion of local
4038            submatrix (same value is used for all local rows).
4039 -  o_nnz - array containing the number of nonzeros in the various rows of the
4040            OFF-DIAGONAL portion of the local submatrix (possibly different for
4041            each row) or PETSC_NULL, if o_nz is used to specify the nonzero
4042            structure. The size of this array is equal to the number
4043            of local rows, i.e 'm'.
4044 
4045    Output Parameter:
4046 .  A - the matrix
4047 
4048    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
4049    MatXXXXSetPreallocation() paradgm instead of this routine directly.
4050    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
4051 
4052    Notes:
4053    If the *_nnz parameter is given then the *_nz parameter is ignored
4054 
4055    m,n,M,N parameters specify the size of the matrix, and its partitioning across
4056    processors, while d_nz,d_nnz,o_nz,o_nnz parameters specify the approximate
4057    storage requirements for this matrix.
4058 
4059    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one
4060    processor than it must be used on all processors that share the object for
4061    that argument.
4062 
4063    The user MUST specify either the local or global matrix dimensions
4064    (possibly both).
4065 
4066    The parallel matrix is partitioned across processors such that the
4067    first m0 rows belong to process 0, the next m1 rows belong to
4068    process 1, the next m2 rows belong to process 2 etc.. where
4069    m0,m1,m2,.. are the input parameter 'm'. i.e each processor stores
4070    values corresponding to [m x N] submatrix.
4071 
4072    The columns are logically partitioned with the n0 columns belonging
4073    to 0th partition, the next n1 columns belonging to the next
4074    partition etc.. where n0,n1,n2... are the the input parameter 'n'.
4075 
4076    The DIAGONAL portion of the local submatrix on any given processor
4077    is the submatrix corresponding to the rows and columns m,n
4078    corresponding to the given processor. i.e diagonal matrix on
4079    process 0 is [m0 x n0], diagonal matrix on process 1 is [m1 x n1]
4080    etc. The remaining portion of the local submatrix [m x (N-n)]
4081    constitute the OFF-DIAGONAL portion. The example below better
4082    illustrates this concept.
4083 
4084    For a square global matrix we define each processor's diagonal portion
4085    to be its local rows and the corresponding columns (a square submatrix);
4086    each processor's off-diagonal portion encompasses the remainder of the
4087    local matrix (a rectangular submatrix).
4088 
4089    If o_nnz, d_nnz are specified, then o_nz, and d_nz are ignored.
4090 
4091    When calling this routine with a single process communicator, a matrix of
4092    type SEQAIJ is returned.  If a matrix of type MPIAIJ is desired for this
4093    type of communicator, use the construction mechanism:
4094      MatCreate(...,&A); MatSetType(A,MATMPIAIJ); MatSetSizes(A, m,n,M,N); MatMPIAIJSetPreallocation(A,...);
4095 
4096    By default, this format uses inodes (identical nodes) when possible.
4097    We search for consecutive rows with the same nonzero structure, thereby
4098    reusing matrix information to achieve increased efficiency.
4099 
4100    Options Database Keys:
4101 +  -mat_no_inode  - Do not use inodes
4102 .  -mat_inode_limit <limit> - Sets inode limit (max limit=5)
4103 -  -mat_aij_oneindex - Internally use indexing starting at 1
4104         rather than 0.  Note that when calling MatSetValues(),
4105         the user still MUST index entries starting at 0!
4106 
4107 
4108    Example usage:
4109 
4110    Consider the following 8x8 matrix with 34 non-zero values, that is
4111    assembled across 3 processors. Lets assume that proc0 owns 3 rows,
4112    proc1 owns 3 rows, proc2 owns 2 rows. This division can be shown
4113    as follows:
4114 
4115 .vb
4116             1  2  0  |  0  3  0  |  0  4
4117     Proc0   0  5  6  |  7  0  0  |  8  0
4118             9  0 10  | 11  0  0  | 12  0
4119     -------------------------------------
4120            13  0 14  | 15 16 17  |  0  0
4121     Proc1   0 18  0  | 19 20 21  |  0  0
4122             0  0  0  | 22 23  0  | 24  0
4123     -------------------------------------
4124     Proc2  25 26 27  |  0  0 28  | 29  0
4125            30  0  0  | 31 32 33  |  0 34
4126 .ve
4127 
4128    This can be represented as a collection of submatrices as:
4129 
4130 .vb
4131       A B C
4132       D E F
4133       G H I
4134 .ve
4135 
4136    Where the submatrices A,B,C are owned by proc0, D,E,F are
4137    owned by proc1, G,H,I are owned by proc2.
4138 
4139    The 'm' parameters for proc0,proc1,proc2 are 3,3,2 respectively.
4140    The 'n' parameters for proc0,proc1,proc2 are 3,3,2 respectively.
4141    The 'M','N' parameters are 8,8, and have the same values on all procs.
4142 
4143    The DIAGONAL submatrices corresponding to proc0,proc1,proc2 are
4144    submatrices [A], [E], [I] respectively. The OFF-DIAGONAL submatrices
4145    corresponding to proc0,proc1,proc2 are [BC], [DF], [GH] respectively.
4146    Internally, each processor stores the DIAGONAL part, and the OFF-DIAGONAL
4147    part as SeqAIJ matrices. for eg: proc1 will store [E] as a SeqAIJ
4148    matrix, ans [DF] as another SeqAIJ matrix.
4149 
4150    When d_nz, o_nz parameters are specified, d_nz storage elements are
4151    allocated for every row of the local diagonal submatrix, and o_nz
4152    storage locations are allocated for every row of the OFF-DIAGONAL submat.
4153    One way to choose d_nz and o_nz is to use the max nonzerors per local
4154    rows for each of the local DIAGONAL, and the OFF-DIAGONAL submatrices.
4155    In this case, the values of d_nz,o_nz are:
4156 .vb
4157      proc0 : dnz = 2, o_nz = 2
4158      proc1 : dnz = 3, o_nz = 2
4159      proc2 : dnz = 1, o_nz = 4
4160 .ve
4161    We are allocating m*(d_nz+o_nz) storage locations for every proc. This
4162    translates to 3*(2+2)=12 for proc0, 3*(3+2)=15 for proc1, 2*(1+4)=10
4163    for proc3. i.e we are using 12+15+10=37 storage locations to store
4164    34 values.
4165 
4166    When d_nnz, o_nnz parameters are specified, the storage is specified
4167    for every row, coresponding to both DIAGONAL and OFF-DIAGONAL submatrices.
4168    In the above case the values for d_nnz,o_nnz are:
4169 .vb
4170      proc0: d_nnz = [2,2,2] and o_nnz = [2,2,2]
4171      proc1: d_nnz = [3,3,2] and o_nnz = [2,1,1]
4172      proc2: d_nnz = [1,1]   and o_nnz = [4,4]
4173 .ve
4174    Here the space allocated is sum of all the above values i.e 34, and
4175    hence pre-allocation is perfect.
4176 
4177    Level: intermediate
4178 
4179 .keywords: matrix, aij, compressed row, sparse, parallel
4180 
4181 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
4182           MPIAIJ, MatCreateMPIAIJWithArrays()
4183 @*/
4184 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)
4185 {
4186   PetscErrorCode ierr;
4187   PetscMPIInt    size;
4188 
4189   PetscFunctionBegin;
4190   ierr = MatCreate(comm,A);CHKERRQ(ierr);
4191   ierr = MatSetSizes(*A,m,n,M,N);CHKERRQ(ierr);
4192   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4193   if (size > 1) {
4194     ierr = MatSetType(*A,MATMPIAIJ);CHKERRQ(ierr);
4195     ierr = MatMPIAIJSetPreallocation(*A,d_nz,d_nnz,o_nz,o_nnz);CHKERRQ(ierr);
4196   } else {
4197     ierr = MatSetType(*A,MATSEQAIJ);CHKERRQ(ierr);
4198     ierr = MatSeqAIJSetPreallocation(*A,d_nz,d_nnz);CHKERRQ(ierr);
4199   }
4200   PetscFunctionReturn(0);
4201 }
4202 
4203 #undef __FUNCT__
4204 #define __FUNCT__ "MatMPIAIJGetSeqAIJ"
4205 PetscErrorCode  MatMPIAIJGetSeqAIJ(Mat A,Mat *Ad,Mat *Ao,PetscInt *colmap[])
4206 {
4207   Mat_MPIAIJ *a = (Mat_MPIAIJ *)A->data;
4208 
4209   PetscFunctionBegin;
4210   *Ad     = a->A;
4211   *Ao     = a->B;
4212   *colmap = a->garray;
4213   PetscFunctionReturn(0);
4214 }
4215 
4216 #undef __FUNCT__
4217 #define __FUNCT__ "MatSetColoring_MPIAIJ"
4218 PetscErrorCode MatSetColoring_MPIAIJ(Mat A,ISColoring coloring)
4219 {
4220   PetscErrorCode ierr;
4221   PetscInt       i;
4222   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
4223 
4224   PetscFunctionBegin;
4225   if (coloring->ctype == IS_COLORING_GLOBAL) {
4226     ISColoringValue *allcolors,*colors;
4227     ISColoring      ocoloring;
4228 
4229     /* set coloring for diagonal portion */
4230     ierr = MatSetColoring_SeqAIJ(a->A,coloring);CHKERRQ(ierr);
4231 
4232     /* set coloring for off-diagonal portion */
4233     ierr = ISAllGatherColors(((PetscObject)A)->comm,coloring->n,coloring->colors,PETSC_NULL,&allcolors);CHKERRQ(ierr);
4234     ierr = PetscMalloc((a->B->cmap->n+1)*sizeof(ISColoringValue),&colors);CHKERRQ(ierr);
4235     for (i=0; i<a->B->cmap->n; i++) {
4236       colors[i] = allcolors[a->garray[i]];
4237     }
4238     ierr = PetscFree(allcolors);CHKERRQ(ierr);
4239     ierr = ISColoringCreate(MPI_COMM_SELF,coloring->n,a->B->cmap->n,colors,&ocoloring);CHKERRQ(ierr);
4240     ierr = MatSetColoring_SeqAIJ(a->B,ocoloring);CHKERRQ(ierr);
4241     ierr = ISColoringDestroy(&ocoloring);CHKERRQ(ierr);
4242   } else if (coloring->ctype == IS_COLORING_GHOSTED) {
4243     ISColoringValue *colors;
4244     PetscInt        *larray;
4245     ISColoring      ocoloring;
4246 
4247     /* set coloring for diagonal portion */
4248     ierr = PetscMalloc((a->A->cmap->n+1)*sizeof(PetscInt),&larray);CHKERRQ(ierr);
4249     for (i=0; i<a->A->cmap->n; i++) {
4250       larray[i] = i + A->cmap->rstart;
4251     }
4252     ierr = ISGlobalToLocalMappingApply(A->cmap->mapping,IS_GTOLM_MASK,a->A->cmap->n,larray,PETSC_NULL,larray);CHKERRQ(ierr);
4253     ierr = PetscMalloc((a->A->cmap->n+1)*sizeof(ISColoringValue),&colors);CHKERRQ(ierr);
4254     for (i=0; i<a->A->cmap->n; i++) {
4255       colors[i] = coloring->colors[larray[i]];
4256     }
4257     ierr = PetscFree(larray);CHKERRQ(ierr);
4258     ierr = ISColoringCreate(PETSC_COMM_SELF,coloring->n,a->A->cmap->n,colors,&ocoloring);CHKERRQ(ierr);
4259     ierr = MatSetColoring_SeqAIJ(a->A,ocoloring);CHKERRQ(ierr);
4260     ierr = ISColoringDestroy(&ocoloring);CHKERRQ(ierr);
4261 
4262     /* set coloring for off-diagonal portion */
4263     ierr = PetscMalloc((a->B->cmap->n+1)*sizeof(PetscInt),&larray);CHKERRQ(ierr);
4264     ierr = ISGlobalToLocalMappingApply(A->cmap->mapping,IS_GTOLM_MASK,a->B->cmap->n,a->garray,PETSC_NULL,larray);CHKERRQ(ierr);
4265     ierr = PetscMalloc((a->B->cmap->n+1)*sizeof(ISColoringValue),&colors);CHKERRQ(ierr);
4266     for (i=0; i<a->B->cmap->n; i++) {
4267       colors[i] = coloring->colors[larray[i]];
4268     }
4269     ierr = PetscFree(larray);CHKERRQ(ierr);
4270     ierr = ISColoringCreate(MPI_COMM_SELF,coloring->n,a->B->cmap->n,colors,&ocoloring);CHKERRQ(ierr);
4271     ierr = MatSetColoring_SeqAIJ(a->B,ocoloring);CHKERRQ(ierr);
4272     ierr = ISColoringDestroy(&ocoloring);CHKERRQ(ierr);
4273   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support ISColoringType %d",(int)coloring->ctype);
4274 
4275   PetscFunctionReturn(0);
4276 }
4277 
4278 #if defined(PETSC_HAVE_ADIC)
4279 #undef __FUNCT__
4280 #define __FUNCT__ "MatSetValuesAdic_MPIAIJ"
4281 PetscErrorCode MatSetValuesAdic_MPIAIJ(Mat A,void *advalues)
4282 {
4283   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
4284   PetscErrorCode ierr;
4285 
4286   PetscFunctionBegin;
4287   ierr = MatSetValuesAdic_SeqAIJ(a->A,advalues);CHKERRQ(ierr);
4288   ierr = MatSetValuesAdic_SeqAIJ(a->B,advalues);CHKERRQ(ierr);
4289   PetscFunctionReturn(0);
4290 }
4291 #endif
4292 
4293 #undef __FUNCT__
4294 #define __FUNCT__ "MatSetValuesAdifor_MPIAIJ"
4295 PetscErrorCode MatSetValuesAdifor_MPIAIJ(Mat A,PetscInt nl,void *advalues)
4296 {
4297   Mat_MPIAIJ     *a = (Mat_MPIAIJ*)A->data;
4298   PetscErrorCode ierr;
4299 
4300   PetscFunctionBegin;
4301   ierr = MatSetValuesAdifor_SeqAIJ(a->A,nl,advalues);CHKERRQ(ierr);
4302   ierr = MatSetValuesAdifor_SeqAIJ(a->B,nl,advalues);CHKERRQ(ierr);
4303   PetscFunctionReturn(0);
4304 }
4305 
4306 #undef __FUNCT__
4307 #define __FUNCT__ "MatCreateMPIAIJConcatenateSeqAIJSymbolic"
4308 PetscErrorCode  MatCreateMPIAIJConcatenateSeqAIJSymbolic(MPI_Comm comm,Mat inmat,PetscInt n,Mat *outmat)
4309 {
4310   PetscErrorCode ierr;
4311   PetscInt       m,N,i,rstart,nnz,*dnz,*onz,sum,bs,cbs;
4312   PetscInt       *indx;
4313 
4314   PetscFunctionBegin;
4315   /* This routine will ONLY return MPIAIJ type matrix */
4316   ierr = MatGetSize(inmat,&m,&N);CHKERRQ(ierr);
4317   ierr = MatGetBlockSizes(inmat,&bs,&cbs);CHKERRQ(ierr);
4318   if (n == PETSC_DECIDE){
4319     ierr = PetscSplitOwnership(comm,&n,&N);CHKERRQ(ierr);
4320   }
4321   /* Check sum(n) = N */
4322   ierr = MPI_Allreduce(&n,&sum,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
4323   if (sum != N) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Sum of local columns != global columns %d",N);
4324 
4325   ierr = MPI_Scan(&m, &rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(ierr);
4326   rstart -= m;
4327 
4328   ierr = MatPreallocateInitialize(comm,m,n,dnz,onz);CHKERRQ(ierr);
4329   for (i=0;i<m;i++) {
4330     ierr = MatGetRow_SeqAIJ(inmat,i,&nnz,&indx,PETSC_NULL);CHKERRQ(ierr);
4331     ierr = MatPreallocateSet(i+rstart,nnz,indx,dnz,onz);CHKERRQ(ierr);
4332     ierr = MatRestoreRow_SeqAIJ(inmat,i,&nnz,&indx,PETSC_NULL);CHKERRQ(ierr);
4333   }
4334 
4335   ierr = MatCreate(comm,outmat);CHKERRQ(ierr);
4336   ierr = MatSetSizes(*outmat,m,n,PETSC_DETERMINE,PETSC_DETERMINE); CHKERRQ(ierr);
4337   ierr = MatSetBlockSizes(*outmat,bs,cbs); CHKERRQ(ierr);
4338   ierr = MatSetType(*outmat,MATMPIAIJ);  CHKERRQ(ierr);
4339   ierr = MatMPIAIJSetPreallocation(*outmat,0,dnz,0,onz);CHKERRQ(ierr);
4340   ierr = MatPreallocateFinalize(dnz,onz);CHKERRQ(ierr);
4341   PetscFunctionReturn(0);
4342 }
4343 
4344 #undef __FUNCT__
4345 #define __FUNCT__ "MatCreateMPIAIJConcatenateSeqAIJNumeric"
4346 PetscErrorCode  MatCreateMPIAIJConcatenateSeqAIJNumeric(MPI_Comm comm,Mat inmat,PetscInt n,Mat outmat)
4347 {
4348   PetscErrorCode ierr;
4349   PetscInt       m,N,i,rstart,nnz,Ii;
4350   PetscInt       *indx;
4351   PetscScalar    *values;
4352 
4353   PetscFunctionBegin;
4354   ierr = MatGetSize(inmat,&m,&N);CHKERRQ(ierr);
4355   ierr = MatGetOwnershipRange(outmat,&rstart,PETSC_NULL);CHKERRQ(ierr);
4356   for (i=0;i<m;i++) {
4357     ierr = MatGetRow_SeqAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
4358     Ii    = i + rstart;
4359     ierr = MatSetValues_MPIAIJ(outmat,1,&Ii,nnz,indx,values,INSERT_VALUES);CHKERRQ(ierr);
4360     ierr = MatRestoreRow_SeqAIJ(inmat,i,&nnz,&indx,&values);CHKERRQ(ierr);
4361   }
4362   ierr = MatAssemblyBegin(outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4363   ierr = MatAssemblyEnd(outmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4364   PetscFunctionReturn(0);
4365 }
4366 
4367 #undef __FUNCT__
4368 #define __FUNCT__ "MatCreateMPIAIJConcatenateSeqAIJ"
4369 /*@
4370       MatCreateMPIAIJConcatenateSeqAIJ - Creates a single large PETSc matrix by concatenating sequential
4371                  matrices from each processor
4372 
4373     Collective on MPI_Comm
4374 
4375    Input Parameters:
4376 +    comm - the communicators the parallel matrix will live on
4377 .    inmat - the input sequential matrices
4378 .    n - number of local columns (or PETSC_DECIDE)
4379 -    scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
4380 
4381    Output Parameter:
4382 .    outmat - the parallel matrix generated
4383 
4384     Level: advanced
4385 
4386    Notes: The number of columns of the matrix in EACH processor MUST be the same.
4387 
4388 @*/
4389 PetscErrorCode  MatCreateMPIAIJConcatenateSeqAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
4390 {
4391   PetscErrorCode ierr;
4392 
4393   PetscFunctionBegin;
4394   ierr = PetscLogEventBegin(MAT_Merge,inmat,0,0,0);CHKERRQ(ierr);
4395   if (scall == MAT_INITIAL_MATRIX){
4396     ierr = MatCreateMPIAIJConcatenateSeqAIJSymbolic(comm,inmat,n,outmat);CHKERRQ(ierr);
4397   }
4398   ierr = MatCreateMPIAIJConcatenateSeqAIJNumeric(comm,inmat,n,*outmat);CHKERRQ(ierr);
4399   ierr = PetscLogEventEnd(MAT_Merge,inmat,0,0,0);CHKERRQ(ierr);
4400   PetscFunctionReturn(0);
4401 }
4402 
4403 #undef __FUNCT__
4404 #define __FUNCT__ "MatFileSplit"
4405 PetscErrorCode MatFileSplit(Mat A,char *outfile)
4406 {
4407   PetscErrorCode    ierr;
4408   PetscMPIInt       rank;
4409   PetscInt          m,N,i,rstart,nnz;
4410   size_t            len;
4411   const PetscInt    *indx;
4412   PetscViewer       out;
4413   char              *name;
4414   Mat               B;
4415   const PetscScalar *values;
4416 
4417   PetscFunctionBegin;
4418   ierr = MatGetLocalSize(A,&m,0);CHKERRQ(ierr);
4419   ierr = MatGetSize(A,0,&N);CHKERRQ(ierr);
4420   /* Should this be the type of the diagonal block of A? */
4421   ierr = MatCreate(PETSC_COMM_SELF,&B);CHKERRQ(ierr);
4422   ierr = MatSetSizes(B,m,N,m,N);CHKERRQ(ierr);
4423   ierr = MatSetBlockSizes(B,A->rmap->bs,A->cmap->bs);CHKERRQ(ierr);
4424   ierr = MatSetType(B,MATSEQAIJ);CHKERRQ(ierr);
4425   ierr = MatSeqAIJSetPreallocation(B,0,PETSC_NULL);CHKERRQ(ierr);
4426   ierr = MatGetOwnershipRange(A,&rstart,0);CHKERRQ(ierr);
4427   for (i=0;i<m;i++) {
4428     ierr = MatGetRow(A,i+rstart,&nnz,&indx,&values);CHKERRQ(ierr);
4429     ierr = MatSetValues(B,1,&i,nnz,indx,values,INSERT_VALUES);CHKERRQ(ierr);
4430     ierr = MatRestoreRow(A,i+rstart,&nnz,&indx,&values);CHKERRQ(ierr);
4431   }
4432   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4433   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4434 
4435   ierr = MPI_Comm_rank(((PetscObject)A)->comm,&rank);CHKERRQ(ierr);
4436   ierr = PetscStrlen(outfile,&len);CHKERRQ(ierr);
4437   ierr = PetscMalloc((len+5)*sizeof(char),&name);CHKERRQ(ierr);
4438   sprintf(name,"%s.%d",outfile,rank);
4439   ierr = PetscViewerBinaryOpen(PETSC_COMM_SELF,name,FILE_MODE_APPEND,&out);CHKERRQ(ierr);
4440   ierr = PetscFree(name);
4441   ierr = MatView(B,out);CHKERRQ(ierr);
4442   ierr = PetscViewerDestroy(&out);CHKERRQ(ierr);
4443   ierr = MatDestroy(&B);CHKERRQ(ierr);
4444   PetscFunctionReturn(0);
4445 }
4446 
4447 extern PetscErrorCode MatDestroy_MPIAIJ(Mat);
4448 #undef __FUNCT__
4449 #define __FUNCT__ "MatDestroy_MPIAIJ_SeqsToMPI"
4450 PetscErrorCode  MatDestroy_MPIAIJ_SeqsToMPI(Mat A)
4451 {
4452   PetscErrorCode       ierr;
4453   Mat_Merge_SeqsToMPI  *merge;
4454   PetscContainer       container;
4455 
4456   PetscFunctionBegin;
4457   ierr = PetscObjectQuery((PetscObject)A,"MatMergeSeqsToMPI",(PetscObject *)&container);CHKERRQ(ierr);
4458   if (container) {
4459     ierr = PetscContainerGetPointer(container,(void **)&merge);CHKERRQ(ierr);
4460     ierr = PetscFree(merge->id_r);CHKERRQ(ierr);
4461     ierr = PetscFree(merge->len_s);CHKERRQ(ierr);
4462     ierr = PetscFree(merge->len_r);CHKERRQ(ierr);
4463     ierr = PetscFree(merge->bi);CHKERRQ(ierr);
4464     ierr = PetscFree(merge->bj);CHKERRQ(ierr);
4465     ierr = PetscFree(merge->buf_ri[0]);CHKERRQ(ierr);
4466     ierr = PetscFree(merge->buf_ri);CHKERRQ(ierr);
4467     ierr = PetscFree(merge->buf_rj[0]);CHKERRQ(ierr);
4468     ierr = PetscFree(merge->buf_rj);CHKERRQ(ierr);
4469     ierr = PetscFree(merge->coi);CHKERRQ(ierr);
4470     ierr = PetscFree(merge->coj);CHKERRQ(ierr);
4471     ierr = PetscFree(merge->owners_co);CHKERRQ(ierr);
4472     ierr = PetscLayoutDestroy(&merge->rowmap);CHKERRQ(ierr);
4473     ierr = PetscFree(merge);CHKERRQ(ierr);
4474     ierr = PetscObjectCompose((PetscObject)A,"MatMergeSeqsToMPI",0);CHKERRQ(ierr);
4475   }
4476   ierr = MatDestroy_MPIAIJ(A);CHKERRQ(ierr);
4477   PetscFunctionReturn(0);
4478 }
4479 
4480 #include <../src/mat/utils/freespace.h>
4481 #include <petscbt.h>
4482 
4483 #undef __FUNCT__
4484 #define __FUNCT__ "MatCreateMPIAIJSumSeqAIJNumeric"
4485 PetscErrorCode  MatCreateMPIAIJSumSeqAIJNumeric(Mat seqmat,Mat mpimat)
4486 {
4487   PetscErrorCode       ierr;
4488   MPI_Comm             comm=((PetscObject)mpimat)->comm;
4489   Mat_SeqAIJ           *a=(Mat_SeqAIJ*)seqmat->data;
4490   PetscMPIInt          size,rank,taga,*len_s;
4491   PetscInt             N=mpimat->cmap->N,i,j,*owners,*ai=a->i,*aj=a->j;
4492   PetscInt             proc,m;
4493   PetscInt             **buf_ri,**buf_rj;
4494   PetscInt             k,anzi,*bj_i,*bi,*bj,arow,bnzi,nextaj;
4495   PetscInt             nrows,**buf_ri_k,**nextrow,**nextai;
4496   MPI_Request          *s_waits,*r_waits;
4497   MPI_Status           *status;
4498   MatScalar            *aa=a->a;
4499   MatScalar            **abuf_r,*ba_i;
4500   Mat_Merge_SeqsToMPI  *merge;
4501   PetscContainer       container;
4502 
4503   PetscFunctionBegin;
4504   ierr = PetscLogEventBegin(MAT_Seqstompinum,seqmat,0,0,0);CHKERRQ(ierr);
4505 
4506   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4507   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
4508 
4509   ierr = PetscObjectQuery((PetscObject)mpimat,"MatMergeSeqsToMPI",(PetscObject *)&container);CHKERRQ(ierr);
4510   ierr  = PetscContainerGetPointer(container,(void **)&merge);CHKERRQ(ierr);
4511 
4512   bi     = merge->bi;
4513   bj     = merge->bj;
4514   buf_ri = merge->buf_ri;
4515   buf_rj = merge->buf_rj;
4516 
4517   ierr   = PetscMalloc(size*sizeof(MPI_Status),&status);CHKERRQ(ierr);
4518   owners = merge->rowmap->range;
4519   len_s  = merge->len_s;
4520 
4521   /* send and recv matrix values */
4522   /*-----------------------------*/
4523   ierr = PetscObjectGetNewTag((PetscObject)mpimat,&taga);CHKERRQ(ierr);
4524   ierr = PetscPostIrecvScalar(comm,taga,merge->nrecv,merge->id_r,merge->len_r,&abuf_r,&r_waits);CHKERRQ(ierr);
4525 
4526   ierr = PetscMalloc((merge->nsend+1)*sizeof(MPI_Request),&s_waits);CHKERRQ(ierr);
4527   for (proc=0,k=0; proc<size; proc++){
4528     if (!len_s[proc]) continue;
4529     i = owners[proc];
4530     ierr = MPI_Isend(aa+ai[i],len_s[proc],MPIU_MATSCALAR,proc,taga,comm,s_waits+k);CHKERRQ(ierr);
4531     k++;
4532   }
4533 
4534   if (merge->nrecv) {ierr = MPI_Waitall(merge->nrecv,r_waits,status);CHKERRQ(ierr);}
4535   if (merge->nsend) {ierr = MPI_Waitall(merge->nsend,s_waits,status);CHKERRQ(ierr);}
4536   ierr = PetscFree(status);CHKERRQ(ierr);
4537 
4538   ierr = PetscFree(s_waits);CHKERRQ(ierr);
4539   ierr = PetscFree(r_waits);CHKERRQ(ierr);
4540 
4541   /* insert mat values of mpimat */
4542   /*----------------------------*/
4543   ierr = PetscMalloc(N*sizeof(PetscScalar),&ba_i);CHKERRQ(ierr);
4544   ierr = PetscMalloc3(merge->nrecv,PetscInt*,&buf_ri_k,merge->nrecv,PetscInt*,&nextrow,merge->nrecv,PetscInt*,&nextai);CHKERRQ(ierr);
4545 
4546   for (k=0; k<merge->nrecv; k++){
4547     buf_ri_k[k] = buf_ri[k]; /* beginning of k-th recved i-structure */
4548     nrows = *(buf_ri_k[k]);
4549     nextrow[k]  = buf_ri_k[k]+1;  /* next row number of k-th recved i-structure */
4550     nextai[k]   = buf_ri_k[k] + (nrows + 1);/* poins to the next i-structure of k-th recved i-structure  */
4551   }
4552 
4553   /* set values of ba */
4554   m = merge->rowmap->n;
4555   for (i=0; i<m; i++) {
4556     arow = owners[rank] + i;
4557     bj_i = bj+bi[i];  /* col indices of the i-th row of mpimat */
4558     bnzi = bi[i+1] - bi[i];
4559     ierr = PetscMemzero(ba_i,bnzi*sizeof(PetscScalar));CHKERRQ(ierr);
4560 
4561     /* add local non-zero vals of this proc's seqmat into ba */
4562     anzi = ai[arow+1] - ai[arow];
4563     aj   = a->j + ai[arow];
4564     aa   = a->a + ai[arow];
4565     nextaj = 0;
4566     for (j=0; nextaj<anzi; j++){
4567       if (*(bj_i + j) == aj[nextaj]){ /* bcol == acol */
4568         ba_i[j] += aa[nextaj++];
4569       }
4570     }
4571 
4572     /* add received vals into ba */
4573     for (k=0; k<merge->nrecv; k++){ /* k-th received message */
4574       /* i-th row */
4575       if (i == *nextrow[k]) {
4576         anzi = *(nextai[k]+1) - *nextai[k];
4577         aj   = buf_rj[k] + *(nextai[k]);
4578         aa   = abuf_r[k] + *(nextai[k]);
4579         nextaj = 0;
4580         for (j=0; nextaj<anzi; j++){
4581           if (*(bj_i + j) == aj[nextaj]){ /* bcol == acol */
4582             ba_i[j] += aa[nextaj++];
4583           }
4584         }
4585         nextrow[k]++; nextai[k]++;
4586       }
4587     }
4588     ierr = MatSetValues(mpimat,1,&arow,bnzi,bj_i,ba_i,INSERT_VALUES);CHKERRQ(ierr);
4589   }
4590   ierr = MatAssemblyBegin(mpimat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4591   ierr = MatAssemblyEnd(mpimat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
4592 
4593   ierr = PetscFree(abuf_r[0]);CHKERRQ(ierr);
4594   ierr = PetscFree(abuf_r);CHKERRQ(ierr);
4595   ierr = PetscFree(ba_i);CHKERRQ(ierr);
4596   ierr = PetscFree3(buf_ri_k,nextrow,nextai);CHKERRQ(ierr);
4597   ierr = PetscLogEventEnd(MAT_Seqstompinum,seqmat,0,0,0);CHKERRQ(ierr);
4598   PetscFunctionReturn(0);
4599 }
4600 
4601 extern PetscErrorCode  MatDestroy_MPIAIJ_SeqsToMPI(Mat);
4602 
4603 #undef __FUNCT__
4604 #define __FUNCT__ "MatCreateMPIAIJSumSeqAIJSymbolic"
4605 PetscErrorCode  MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm comm,Mat seqmat,PetscInt m,PetscInt n,Mat *mpimat)
4606 {
4607   PetscErrorCode       ierr;
4608   Mat                  B_mpi;
4609   Mat_SeqAIJ           *a=(Mat_SeqAIJ*)seqmat->data;
4610   PetscMPIInt          size,rank,tagi,tagj,*len_s,*len_si,*len_ri;
4611   PetscInt             **buf_rj,**buf_ri,**buf_ri_k;
4612   PetscInt             M=seqmat->rmap->n,N=seqmat->cmap->n,i,*owners,*ai=a->i,*aj=a->j;
4613   PetscInt             len,proc,*dnz,*onz,bs,cbs;
4614   PetscInt             k,anzi,*bi,*bj,*lnk,nlnk,arow,bnzi,nspacedouble=0;
4615   PetscInt             nrows,*buf_s,*buf_si,*buf_si_i,**nextrow,**nextai;
4616   MPI_Request          *si_waits,*sj_waits,*ri_waits,*rj_waits;
4617   MPI_Status           *status;
4618   PetscFreeSpaceList   free_space=PETSC_NULL,current_space=PETSC_NULL;
4619   PetscBT              lnkbt;
4620   Mat_Merge_SeqsToMPI  *merge;
4621   PetscContainer       container;
4622 
4623   PetscFunctionBegin;
4624   ierr = PetscLogEventBegin(MAT_Seqstompisym,seqmat,0,0,0);CHKERRQ(ierr);
4625 
4626   /* make sure it is a PETSc comm */
4627   ierr = PetscCommDuplicate(comm,&comm,PETSC_NULL);CHKERRQ(ierr);
4628   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4629   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
4630 
4631   ierr = PetscNew(Mat_Merge_SeqsToMPI,&merge);CHKERRQ(ierr);
4632   ierr = PetscMalloc(size*sizeof(MPI_Status),&status);CHKERRQ(ierr);
4633 
4634   /* determine row ownership */
4635   /*---------------------------------------------------------*/
4636   ierr = PetscLayoutCreate(comm,&merge->rowmap);CHKERRQ(ierr);
4637   ierr = PetscLayoutSetLocalSize(merge->rowmap,m);CHKERRQ(ierr);
4638   ierr = PetscLayoutSetSize(merge->rowmap,M);CHKERRQ(ierr);
4639   ierr = PetscLayoutSetBlockSize(merge->rowmap,1);CHKERRQ(ierr);
4640   ierr = PetscLayoutSetUp(merge->rowmap);CHKERRQ(ierr);
4641   ierr = PetscMalloc(size*sizeof(PetscMPIInt),&len_si);CHKERRQ(ierr);
4642   ierr = PetscMalloc(size*sizeof(PetscMPIInt),&merge->len_s);CHKERRQ(ierr);
4643 
4644   m      = merge->rowmap->n;
4645   M      = merge->rowmap->N;
4646   owners = merge->rowmap->range;
4647 
4648   /* determine the number of messages to send, their lengths */
4649   /*---------------------------------------------------------*/
4650   len_s  = merge->len_s;
4651 
4652   len = 0;  /* length of buf_si[] */
4653   merge->nsend = 0;
4654   for (proc=0; proc<size; proc++){
4655     len_si[proc] = 0;
4656     if (proc == rank){
4657       len_s[proc] = 0;
4658     } else {
4659       len_si[proc] = owners[proc+1] - owners[proc] + 1;
4660       len_s[proc] = ai[owners[proc+1]] - ai[owners[proc]]; /* num of rows to be sent to [proc] */
4661     }
4662     if (len_s[proc]) {
4663       merge->nsend++;
4664       nrows = 0;
4665       for (i=owners[proc]; i<owners[proc+1]; i++){
4666         if (ai[i+1] > ai[i]) nrows++;
4667       }
4668       len_si[proc] = 2*(nrows+1);
4669       len += len_si[proc];
4670     }
4671   }
4672 
4673   /* determine the number and length of messages to receive for ij-structure */
4674   /*-------------------------------------------------------------------------*/
4675   ierr = PetscGatherNumberOfMessages(comm,PETSC_NULL,len_s,&merge->nrecv);CHKERRQ(ierr);
4676   ierr = PetscGatherMessageLengths2(comm,merge->nsend,merge->nrecv,len_s,len_si,&merge->id_r,&merge->len_r,&len_ri);CHKERRQ(ierr);
4677 
4678   /* post the Irecv of j-structure */
4679   /*-------------------------------*/
4680   ierr = PetscCommGetNewTag(comm,&tagj);CHKERRQ(ierr);
4681   ierr = PetscPostIrecvInt(comm,tagj,merge->nrecv,merge->id_r,merge->len_r,&buf_rj,&rj_waits);CHKERRQ(ierr);
4682 
4683   /* post the Isend of j-structure */
4684   /*--------------------------------*/
4685   ierr = PetscMalloc2(merge->nsend,MPI_Request,&si_waits,merge->nsend,MPI_Request,&sj_waits);CHKERRQ(ierr);
4686 
4687   for (proc=0, k=0; proc<size; proc++){
4688     if (!len_s[proc]) continue;
4689     i = owners[proc];
4690     ierr = MPI_Isend(aj+ai[i],len_s[proc],MPIU_INT,proc,tagj,comm,sj_waits+k);CHKERRQ(ierr);
4691     k++;
4692   }
4693 
4694   /* receives and sends of j-structure are complete */
4695   /*------------------------------------------------*/
4696   if (merge->nrecv) {ierr = MPI_Waitall(merge->nrecv,rj_waits,status);CHKERRQ(ierr);}
4697   if (merge->nsend) {ierr = MPI_Waitall(merge->nsend,sj_waits,status);CHKERRQ(ierr);}
4698 
4699   /* send and recv i-structure */
4700   /*---------------------------*/
4701   ierr = PetscCommGetNewTag(comm,&tagi);CHKERRQ(ierr);
4702   ierr = PetscPostIrecvInt(comm,tagi,merge->nrecv,merge->id_r,len_ri,&buf_ri,&ri_waits);CHKERRQ(ierr);
4703 
4704   ierr = PetscMalloc((len+1)*sizeof(PetscInt),&buf_s);CHKERRQ(ierr);
4705   buf_si = buf_s;  /* points to the beginning of k-th msg to be sent */
4706   for (proc=0,k=0; proc<size; proc++){
4707     if (!len_s[proc]) continue;
4708     /* form outgoing message for i-structure:
4709          buf_si[0]:                 nrows to be sent
4710                [1:nrows]:           row index (global)
4711                [nrows+1:2*nrows+1]: i-structure index
4712     */
4713     /*-------------------------------------------*/
4714     nrows = len_si[proc]/2 - 1;
4715     buf_si_i    = buf_si + nrows+1;
4716     buf_si[0]   = nrows;
4717     buf_si_i[0] = 0;
4718     nrows = 0;
4719     for (i=owners[proc]; i<owners[proc+1]; i++){
4720       anzi = ai[i+1] - ai[i];
4721       if (anzi) {
4722         buf_si_i[nrows+1] = buf_si_i[nrows] + anzi; /* i-structure */
4723         buf_si[nrows+1] = i-owners[proc]; /* local row index */
4724         nrows++;
4725       }
4726     }
4727     ierr = MPI_Isend(buf_si,len_si[proc],MPIU_INT,proc,tagi,comm,si_waits+k);CHKERRQ(ierr);
4728     k++;
4729     buf_si += len_si[proc];
4730   }
4731 
4732   if (merge->nrecv) {ierr = MPI_Waitall(merge->nrecv,ri_waits,status);CHKERRQ(ierr);}
4733   if (merge->nsend) {ierr = MPI_Waitall(merge->nsend,si_waits,status);CHKERRQ(ierr);}
4734 
4735   ierr = PetscInfo2(seqmat,"nsend: %D, nrecv: %D\n",merge->nsend,merge->nrecv);CHKERRQ(ierr);
4736   for (i=0; i<merge->nrecv; i++){
4737     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);
4738   }
4739 
4740   ierr = PetscFree(len_si);CHKERRQ(ierr);
4741   ierr = PetscFree(len_ri);CHKERRQ(ierr);
4742   ierr = PetscFree(rj_waits);CHKERRQ(ierr);
4743   ierr = PetscFree2(si_waits,sj_waits);CHKERRQ(ierr);
4744   ierr = PetscFree(ri_waits);CHKERRQ(ierr);
4745   ierr = PetscFree(buf_s);CHKERRQ(ierr);
4746   ierr = PetscFree(status);CHKERRQ(ierr);
4747 
4748   /* compute a local seq matrix in each processor */
4749   /*----------------------------------------------*/
4750   /* allocate bi array and free space for accumulating nonzero column info */
4751   ierr = PetscMalloc((m+1)*sizeof(PetscInt),&bi);CHKERRQ(ierr);
4752   bi[0] = 0;
4753 
4754   /* create and initialize a linked list */
4755   nlnk = N+1;
4756   ierr = PetscLLCreate(N,N,nlnk,lnk,lnkbt);CHKERRQ(ierr);
4757 
4758   /* initial FreeSpace size is 2*(num of local nnz(seqmat)) */
4759   len = 0;
4760   len  = ai[owners[rank+1]] - ai[owners[rank]];
4761   ierr = PetscFreeSpaceGet((PetscInt)(2*len+1),&free_space);CHKERRQ(ierr);
4762   current_space = free_space;
4763 
4764   /* determine symbolic info for each local row */
4765   ierr = PetscMalloc3(merge->nrecv,PetscInt*,&buf_ri_k,merge->nrecv,PetscInt*,&nextrow,merge->nrecv,PetscInt*,&nextai);CHKERRQ(ierr);
4766 
4767   for (k=0; k<merge->nrecv; k++){
4768     buf_ri_k[k] = buf_ri[k]; /* beginning of k-th recved i-structure */
4769     nrows = *buf_ri_k[k];
4770     nextrow[k]  = buf_ri_k[k] + 1;  /* next row number of k-th recved i-structure */
4771     nextai[k]   = buf_ri_k[k] + (nrows + 1);/* poins to the next i-structure of k-th recved i-structure  */
4772   }
4773 
4774   ierr = MatPreallocateInitialize(comm,m,n,dnz,onz);CHKERRQ(ierr);
4775   len = 0;
4776   for (i=0;i<m;i++) {
4777     bnzi   = 0;
4778     /* add local non-zero cols of this proc's seqmat into lnk */
4779     arow   = owners[rank] + i;
4780     anzi   = ai[arow+1] - ai[arow];
4781     aj     = a->j + ai[arow];
4782     ierr = PetscLLAddSorted(anzi,aj,N,nlnk,lnk,lnkbt);CHKERRQ(ierr);
4783     bnzi += nlnk;
4784     /* add received col data into lnk */
4785     for (k=0; k<merge->nrecv; k++){ /* k-th received message */
4786       if (i == *nextrow[k]) { /* i-th row */
4787         anzi = *(nextai[k]+1) - *nextai[k];
4788         aj   = buf_rj[k] + *nextai[k];
4789         ierr = PetscLLAddSorted(anzi,aj,N,nlnk,lnk,lnkbt);CHKERRQ(ierr);
4790         bnzi += nlnk;
4791         nextrow[k]++; nextai[k]++;
4792       }
4793     }
4794     if (len < bnzi) len = bnzi;  /* =max(bnzi) */
4795 
4796     /* if free space is not available, make more free space */
4797     if (current_space->local_remaining<bnzi) {
4798       ierr = PetscFreeSpaceGet(bnzi+current_space->total_array_size,&current_space);CHKERRQ(ierr);
4799       nspacedouble++;
4800     }
4801     /* copy data into free space, then initialize lnk */
4802     ierr = PetscLLClean(N,N,bnzi,lnk,current_space->array,lnkbt);CHKERRQ(ierr);
4803     ierr = MatPreallocateSet(i+owners[rank],bnzi,current_space->array,dnz,onz);CHKERRQ(ierr);
4804 
4805     current_space->array           += bnzi;
4806     current_space->local_used      += bnzi;
4807     current_space->local_remaining -= bnzi;
4808 
4809     bi[i+1] = bi[i] + bnzi;
4810   }
4811 
4812   ierr = PetscFree3(buf_ri_k,nextrow,nextai);CHKERRQ(ierr);
4813 
4814   ierr = PetscMalloc((bi[m]+1)*sizeof(PetscInt),&bj);CHKERRQ(ierr);
4815   ierr = PetscFreeSpaceContiguous(&free_space,bj);CHKERRQ(ierr);
4816   ierr = PetscLLDestroy(lnk,lnkbt);CHKERRQ(ierr);
4817 
4818   /* create symbolic parallel matrix B_mpi */
4819   /*---------------------------------------*/
4820     ierr = MatGetBlockSizes(seqmat,&bs,&cbs);CHKERRQ(ierr);
4821   ierr = MatCreate(comm,&B_mpi);CHKERRQ(ierr);
4822   if (n==PETSC_DECIDE) {
4823     ierr = MatSetSizes(B_mpi,m,n,PETSC_DETERMINE,N);CHKERRQ(ierr);
4824   } else {
4825     ierr = MatSetSizes(B_mpi,m,n,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
4826   }
4827   ierr = MatSetBlockSizes(B_mpi,bs,cbs); CHKERRQ(ierr);
4828   ierr = MatSetType(B_mpi,MATMPIAIJ);CHKERRQ(ierr);
4829   ierr = MatMPIAIJSetPreallocation(B_mpi,0,dnz,0,onz);CHKERRQ(ierr);
4830   ierr = MatPreallocateFinalize(dnz,onz);CHKERRQ(ierr);
4831   ierr = MatSetOption(B_mpi,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);
4832 
4833   /* B_mpi is not ready for use - assembly will be done by MatCreateMPIAIJSumSeqAIJNumeric() */
4834   B_mpi->assembled     = PETSC_FALSE;
4835   B_mpi->ops->destroy  = MatDestroy_MPIAIJ_SeqsToMPI;
4836   merge->bi            = bi;
4837   merge->bj            = bj;
4838   merge->buf_ri        = buf_ri;
4839   merge->buf_rj        = buf_rj;
4840   merge->coi           = PETSC_NULL;
4841   merge->coj           = PETSC_NULL;
4842   merge->owners_co     = PETSC_NULL;
4843 
4844   ierr = PetscCommDestroy(&comm);CHKERRQ(ierr);
4845 
4846   /* attach the supporting struct to B_mpi for reuse */
4847   ierr = PetscContainerCreate(PETSC_COMM_SELF,&container);CHKERRQ(ierr);
4848   ierr = PetscContainerSetPointer(container,merge);CHKERRQ(ierr);
4849   ierr = PetscObjectCompose((PetscObject)B_mpi,"MatMergeSeqsToMPI",(PetscObject)container);CHKERRQ(ierr);
4850   ierr = PetscContainerDestroy(&container);CHKERRQ(ierr);
4851   *mpimat = B_mpi;
4852 
4853   ierr = PetscLogEventEnd(MAT_Seqstompisym,seqmat,0,0,0);CHKERRQ(ierr);
4854   PetscFunctionReturn(0);
4855 }
4856 
4857 #undef __FUNCT__
4858 #define __FUNCT__ "MatCreateMPIAIJSumSeqAIJ"
4859 /*@C
4860       MatCreateMPIAIJSumSeqAIJ - Creates a MPIAIJ matrix by adding sequential
4861                  matrices from each processor
4862 
4863     Collective on MPI_Comm
4864 
4865    Input Parameters:
4866 +    comm - the communicators the parallel matrix will live on
4867 .    seqmat - the input sequential matrices
4868 .    m - number of local rows (or PETSC_DECIDE)
4869 .    n - number of local columns (or PETSC_DECIDE)
4870 -    scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
4871 
4872    Output Parameter:
4873 .    mpimat - the parallel matrix generated
4874 
4875     Level: advanced
4876 
4877    Notes:
4878      The dimensions of the sequential matrix in each processor MUST be the same.
4879      The input seqmat is included into the container "Mat_Merge_SeqsToMPI", and will be
4880      destroyed when mpimat is destroyed. Call PetscObjectQuery() to access seqmat.
4881 @*/
4882 PetscErrorCode  MatCreateMPIAIJSumSeqAIJ(MPI_Comm comm,Mat seqmat,PetscInt m,PetscInt n,MatReuse scall,Mat *mpimat)
4883 {
4884   PetscErrorCode   ierr;
4885   PetscMPIInt     size;
4886 
4887   PetscFunctionBegin;
4888   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4889   if (size == 1){
4890      ierr = PetscLogEventBegin(MAT_Seqstompi,seqmat,0,0,0);CHKERRQ(ierr);
4891      if (scall == MAT_INITIAL_MATRIX){
4892        ierr = MatDuplicate(seqmat,MAT_COPY_VALUES,mpimat);CHKERRQ(ierr);
4893      } else {
4894        ierr = MatCopy(seqmat,*mpimat,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
4895      }
4896      ierr = PetscLogEventEnd(MAT_Seqstompi,seqmat,0,0,0);CHKERRQ(ierr);
4897      PetscFunctionReturn(0);
4898   }
4899   ierr = PetscLogEventBegin(MAT_Seqstompi,seqmat,0,0,0);CHKERRQ(ierr);
4900   if (scall == MAT_INITIAL_MATRIX){
4901     ierr = MatCreateMPIAIJSumSeqAIJSymbolic(comm,seqmat,m,n,mpimat);CHKERRQ(ierr);
4902   }
4903   ierr = MatCreateMPIAIJSumSeqAIJNumeric(seqmat,*mpimat);CHKERRQ(ierr);
4904   ierr = PetscLogEventEnd(MAT_Seqstompi,seqmat,0,0,0);CHKERRQ(ierr);
4905   PetscFunctionReturn(0);
4906 }
4907 
4908 #undef __FUNCT__
4909 #define __FUNCT__ "MatMPIAIJGetLocalMat"
4910 /*@
4911      MatMPIAIJGetLocalMat - Creates a SeqAIJ from a MPIAIJ matrix by taking all its local rows and putting them into a sequential vector with
4912           mlocal rows and n columns. Where mlocal is the row count obtained with MatGetLocalSize() and n is the global column count obtained
4913           with MatGetSize()
4914 
4915     Not Collective
4916 
4917    Input Parameters:
4918 +    A - the matrix
4919 .    scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
4920 
4921    Output Parameter:
4922 .    A_loc - the local sequential matrix generated
4923 
4924     Level: developer
4925 
4926 .seealso: MatGetOwnerShipRange(), MatMPIAIJGetLocalMatCondensed()
4927 
4928 @*/
4929 PetscErrorCode  MatMPIAIJGetLocalMat(Mat A,MatReuse scall,Mat *A_loc)
4930 {
4931   PetscErrorCode  ierr;
4932   Mat_MPIAIJ      *mpimat=(Mat_MPIAIJ*)A->data;
4933   Mat_SeqAIJ      *mat,*a=(Mat_SeqAIJ*)(mpimat->A)->data,*b=(Mat_SeqAIJ*)(mpimat->B)->data;
4934   PetscInt        *ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j,*cmap=mpimat->garray;
4935   MatScalar       *aa=a->a,*ba=b->a,*cam;
4936   PetscScalar     *ca;
4937   PetscInt        am=A->rmap->n,i,j,k,cstart=A->cmap->rstart;
4938   PetscInt        *ci,*cj,col,ncols_d,ncols_o,jo;
4939   PetscBool       match;
4940 
4941   PetscFunctionBegin;
4942   ierr = PetscObjectTypeCompare((PetscObject)A,MATMPIAIJ,&match);CHKERRQ(ierr);
4943   if (!match) SETERRQ(((PetscObject)A)->comm, PETSC_ERR_SUP,"Requires MPIAIJ matrix as input");
4944   ierr = PetscLogEventBegin(MAT_Getlocalmat,A,0,0,0);CHKERRQ(ierr);
4945   if (scall == MAT_INITIAL_MATRIX){
4946     ierr = PetscMalloc((1+am)*sizeof(PetscInt),&ci);CHKERRQ(ierr);
4947     ci[0] = 0;
4948     for (i=0; i<am; i++){
4949       ci[i+1] = ci[i] + (ai[i+1] - ai[i]) + (bi[i+1] - bi[i]);
4950     }
4951     ierr = PetscMalloc((1+ci[am])*sizeof(PetscInt),&cj);CHKERRQ(ierr);
4952     ierr = PetscMalloc((1+ci[am])*sizeof(PetscScalar),&ca);CHKERRQ(ierr);
4953     k = 0;
4954     for (i=0; i<am; i++) {
4955       ncols_o = bi[i+1] - bi[i];
4956       ncols_d = ai[i+1] - ai[i];
4957       /* off-diagonal portion of A */
4958       for (jo=0; jo<ncols_o; jo++) {
4959         col = cmap[*bj];
4960         if (col >= cstart) break;
4961         cj[k]   = col; bj++;
4962         ca[k++] = *ba++;
4963       }
4964       /* diagonal portion of A */
4965       for (j=0; j<ncols_d; j++) {
4966         cj[k]   = cstart + *aj++;
4967         ca[k++] = *aa++;
4968       }
4969       /* off-diagonal portion of A */
4970       for (j=jo; j<ncols_o; j++) {
4971         cj[k]   = cmap[*bj++];
4972         ca[k++] = *ba++;
4973       }
4974     }
4975     /* put together the new matrix */
4976     ierr = MatCreateSeqAIJWithArrays(PETSC_COMM_SELF,am,A->cmap->N,ci,cj,ca,A_loc);CHKERRQ(ierr);
4977     /* MatCreateSeqAIJWithArrays flags matrix so PETSc doesn't free the user's arrays. */
4978     /* Since these are PETSc arrays, change flags to free them as necessary. */
4979     mat          = (Mat_SeqAIJ*)(*A_loc)->data;
4980     mat->free_a  = PETSC_TRUE;
4981     mat->free_ij = PETSC_TRUE;
4982     mat->nonew   = 0;
4983   } else if (scall == MAT_REUSE_MATRIX){
4984     mat=(Mat_SeqAIJ*)(*A_loc)->data;
4985     ci = mat->i; cj = mat->j; cam = mat->a;
4986     for (i=0; i<am; i++) {
4987       /* off-diagonal portion of A */
4988       ncols_o = bi[i+1] - bi[i];
4989       for (jo=0; jo<ncols_o; jo++) {
4990         col = cmap[*bj];
4991         if (col >= cstart) break;
4992         *cam++ = *ba++; bj++;
4993       }
4994       /* diagonal portion of A */
4995       ncols_d = ai[i+1] - ai[i];
4996       for (j=0; j<ncols_d; j++) *cam++ = *aa++;
4997       /* off-diagonal portion of A */
4998       for (j=jo; j<ncols_o; j++) {
4999         *cam++ = *ba++; bj++;
5000       }
5001     }
5002   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Invalid MatReuse %d",(int)scall);
5003   ierr = PetscLogEventEnd(MAT_Getlocalmat,A,0,0,0);CHKERRQ(ierr);
5004   PetscFunctionReturn(0);
5005 }
5006 
5007 #undef __FUNCT__
5008 #define __FUNCT__ "MatMPIAIJGetLocalMatCondensed"
5009 /*@C
5010      MatMPIAIJGetLocalMatCondensed - Creates a SeqAIJ matrix from an MPIAIJ matrix by taking all its local rows and NON-ZERO columns
5011 
5012     Not Collective
5013 
5014    Input Parameters:
5015 +    A - the matrix
5016 .    scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
5017 -    row, col - index sets of rows and columns to extract (or PETSC_NULL)
5018 
5019    Output Parameter:
5020 .    A_loc - the local sequential matrix generated
5021 
5022     Level: developer
5023 
5024 .seealso: MatGetOwnershipRange(), MatMPIAIJGetLocalMat()
5025 
5026 @*/
5027 PetscErrorCode  MatMPIAIJGetLocalMatCondensed(Mat A,MatReuse scall,IS *row,IS *col,Mat *A_loc)
5028 {
5029   Mat_MPIAIJ        *a=(Mat_MPIAIJ*)A->data;
5030   PetscErrorCode    ierr;
5031   PetscInt          i,start,end,ncols,nzA,nzB,*cmap,imark,*idx;
5032   IS                isrowa,iscola;
5033   Mat               *aloc;
5034   PetscBool       match;
5035 
5036   PetscFunctionBegin;
5037   ierr = PetscObjectTypeCompare((PetscObject)A,MATMPIAIJ,&match);CHKERRQ(ierr);
5038   if (!match) SETERRQ(((PetscObject)A)->comm, PETSC_ERR_SUP,"Requires MPIAIJ matrix as input");
5039   ierr = PetscLogEventBegin(MAT_Getlocalmatcondensed,A,0,0,0);CHKERRQ(ierr);
5040   if (!row){
5041     start = A->rmap->rstart; end = A->rmap->rend;
5042     ierr = ISCreateStride(PETSC_COMM_SELF,end-start,start,1,&isrowa);CHKERRQ(ierr);
5043   } else {
5044     isrowa = *row;
5045   }
5046   if (!col){
5047     start = A->cmap->rstart;
5048     cmap  = a->garray;
5049     nzA   = a->A->cmap->n;
5050     nzB   = a->B->cmap->n;
5051     ierr  = PetscMalloc((nzA+nzB)*sizeof(PetscInt), &idx);CHKERRQ(ierr);
5052     ncols = 0;
5053     for (i=0; i<nzB; i++) {
5054       if (cmap[i] < start) idx[ncols++] = cmap[i];
5055       else break;
5056     }
5057     imark = i;
5058     for (i=0; i<nzA; i++) idx[ncols++] = start + i;
5059     for (i=imark; i<nzB; i++) idx[ncols++] = cmap[i];
5060     ierr = ISCreateGeneral(PETSC_COMM_SELF,ncols,idx,PETSC_OWN_POINTER,&iscola);CHKERRQ(ierr);
5061   } else {
5062     iscola = *col;
5063   }
5064   if (scall != MAT_INITIAL_MATRIX){
5065     ierr = PetscMalloc(sizeof(Mat),&aloc);CHKERRQ(ierr);
5066     aloc[0] = *A_loc;
5067   }
5068   ierr = MatGetSubMatrices(A,1,&isrowa,&iscola,scall,&aloc);CHKERRQ(ierr);
5069   *A_loc = aloc[0];
5070   ierr = PetscFree(aloc);CHKERRQ(ierr);
5071   if (!row){
5072     ierr = ISDestroy(&isrowa);CHKERRQ(ierr);
5073   }
5074   if (!col){
5075     ierr = ISDestroy(&iscola);CHKERRQ(ierr);
5076   }
5077   ierr = PetscLogEventEnd(MAT_Getlocalmatcondensed,A,0,0,0);CHKERRQ(ierr);
5078   PetscFunctionReturn(0);
5079 }
5080 
5081 #undef __FUNCT__
5082 #define __FUNCT__ "MatGetBrowsOfAcols"
5083 /*@C
5084     MatGetBrowsOfAcols - Creates a SeqAIJ matrix by taking rows of B that equal to nonzero columns of local A
5085 
5086     Collective on Mat
5087 
5088    Input Parameters:
5089 +    A,B - the matrices in mpiaij format
5090 .    scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
5091 -    rowb, colb - index sets of rows and columns of B to extract (or PETSC_NULL)
5092 
5093    Output Parameter:
5094 +    rowb, colb - index sets of rows and columns of B to extract
5095 -    B_seq - the sequential matrix generated
5096 
5097     Level: developer
5098 
5099 @*/
5100 PetscErrorCode  MatGetBrowsOfAcols(Mat A,Mat B,MatReuse scall,IS *rowb,IS *colb,Mat *B_seq)
5101 {
5102   Mat_MPIAIJ        *a=(Mat_MPIAIJ*)A->data;
5103   PetscErrorCode    ierr;
5104   PetscInt          *idx,i,start,ncols,nzA,nzB,*cmap,imark;
5105   IS                isrowb,iscolb;
5106   Mat               *bseq=PETSC_NULL;
5107 
5108   PetscFunctionBegin;
5109   if (A->cmap->rstart != B->rmap->rstart || A->cmap->rend != B->rmap->rend){
5110     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);
5111   }
5112   ierr = PetscLogEventBegin(MAT_GetBrowsOfAcols,A,B,0,0);CHKERRQ(ierr);
5113 
5114   if (scall == MAT_INITIAL_MATRIX){
5115     start = A->cmap->rstart;
5116     cmap  = a->garray;
5117     nzA   = a->A->cmap->n;
5118     nzB   = a->B->cmap->n;
5119     ierr  = PetscMalloc((nzA+nzB)*sizeof(PetscInt), &idx);CHKERRQ(ierr);
5120     ncols = 0;
5121     for (i=0; i<nzB; i++) {  /* row < local row index */
5122       if (cmap[i] < start) idx[ncols++] = cmap[i];
5123       else break;
5124     }
5125     imark = i;
5126     for (i=0; i<nzA; i++) idx[ncols++] = start + i;  /* local rows */
5127     for (i=imark; i<nzB; i++) idx[ncols++] = cmap[i]; /* row > local row index */
5128     ierr = ISCreateGeneral(PETSC_COMM_SELF,ncols,idx,PETSC_OWN_POINTER,&isrowb);CHKERRQ(ierr);
5129     ierr = ISCreateStride(PETSC_COMM_SELF,B->cmap->N,0,1,&iscolb);CHKERRQ(ierr);
5130   } else {
5131     if (!rowb || !colb) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"IS rowb and colb must be provided for MAT_REUSE_MATRIX");
5132     isrowb = *rowb; iscolb = *colb;
5133     ierr = PetscMalloc(sizeof(Mat),&bseq);CHKERRQ(ierr);
5134     bseq[0] = *B_seq;
5135   }
5136   ierr = MatGetSubMatrices(B,1,&isrowb,&iscolb,scall,&bseq);CHKERRQ(ierr);
5137   *B_seq = bseq[0];
5138   ierr = PetscFree(bseq);CHKERRQ(ierr);
5139   if (!rowb){
5140     ierr = ISDestroy(&isrowb);CHKERRQ(ierr);
5141   } else {
5142     *rowb = isrowb;
5143   }
5144   if (!colb){
5145     ierr = ISDestroy(&iscolb);CHKERRQ(ierr);
5146   } else {
5147     *colb = iscolb;
5148   }
5149   ierr = PetscLogEventEnd(MAT_GetBrowsOfAcols,A,B,0,0);CHKERRQ(ierr);
5150   PetscFunctionReturn(0);
5151 }
5152 
5153 #undef __FUNCT__
5154 #define __FUNCT__ "MatGetBrowsOfAoCols_MPIAIJ"
5155 /*
5156     MatGetBrowsOfAoCols_MPIAIJ - Creates a SeqAIJ matrix by taking rows of B that equal to nonzero columns
5157     of the OFF-DIAGONAL portion of local A
5158 
5159     Collective on Mat
5160 
5161    Input Parameters:
5162 +    A,B - the matrices in mpiaij format
5163 -    scall - either MAT_INITIAL_MATRIX or MAT_REUSE_MATRIX
5164 
5165    Output Parameter:
5166 +    startsj_s - starting point in B's sending j-arrays, saved for MAT_REUSE (or PETSC_NULL)
5167 .    startsj_r - starting point in B's receiving j-arrays, saved for MAT_REUSE (or PETSC_NULL)
5168 .    bufa_ptr - array for sending matrix values, saved for MAT_REUSE (or PETSC_NULL)
5169 -    B_oth - the sequential matrix generated with size aBn=a->B->cmap->n by B->cmap->N
5170 
5171     Level: developer
5172 
5173 */
5174 PetscErrorCode  MatGetBrowsOfAoCols_MPIAIJ(Mat A,Mat B,MatReuse scall,PetscInt **startsj_s,PetscInt **startsj_r,MatScalar **bufa_ptr,Mat *B_oth)
5175 {
5176   VecScatter_MPI_General *gen_to,*gen_from;
5177   PetscErrorCode         ierr;
5178   Mat_MPIAIJ             *a=(Mat_MPIAIJ*)A->data;
5179   Mat_SeqAIJ             *b_oth;
5180   VecScatter             ctx=a->Mvctx;
5181   MPI_Comm               comm=((PetscObject)ctx)->comm;
5182   PetscMPIInt            *rprocs,*sprocs,tag=((PetscObject)ctx)->tag,rank;
5183   PetscInt               *rowlen,*bufj,*bufJ,ncols,aBn=a->B->cmap->n,row,*b_othi,*b_othj;
5184   PetscScalar            *rvalues,*svalues;
5185   MatScalar              *b_otha,*bufa,*bufA;
5186   PetscInt               i,j,k,l,ll,nrecvs,nsends,nrows,*srow,*rstarts,*rstartsj = 0,*sstarts,*sstartsj,len;
5187   MPI_Request            *rwaits = PETSC_NULL,*swaits = PETSC_NULL;
5188   MPI_Status             *sstatus,rstatus;
5189   PetscMPIInt            jj;
5190   PetscInt               *cols,sbs,rbs;
5191   PetscScalar            *vals;
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_GetBrowsOfAocols,A,B,0,0);CHKERRQ(ierr);
5198   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
5199 
5200   gen_to   = (VecScatter_MPI_General*)ctx->todata;
5201   gen_from = (VecScatter_MPI_General*)ctx->fromdata;
5202   rvalues  = gen_from->values; /* holds the length of receiving row */
5203   svalues  = gen_to->values;   /* holds the length of sending row */
5204   nrecvs   = gen_from->n;
5205   nsends   = gen_to->n;
5206 
5207   ierr = PetscMalloc2(nrecvs,MPI_Request,&rwaits,nsends,MPI_Request,&swaits);CHKERRQ(ierr);
5208   srow     = gen_to->indices;   /* local row index to be sent */
5209   sstarts  = gen_to->starts;
5210   sprocs   = gen_to->procs;
5211   sstatus  = gen_to->sstatus;
5212   sbs      = gen_to->bs;
5213   rstarts  = gen_from->starts;
5214   rprocs   = gen_from->procs;
5215   rbs      = gen_from->bs;
5216 
5217   if (!startsj_s || !bufa_ptr) scall = MAT_INITIAL_MATRIX;
5218   if (scall == MAT_INITIAL_MATRIX){
5219     /* i-array */
5220     /*---------*/
5221     /*  post receives */
5222     for (i=0; i<nrecvs; i++){
5223       rowlen = (PetscInt*)rvalues + rstarts[i]*rbs;
5224       nrows = (rstarts[i+1]-rstarts[i])*rbs; /* num of indices to be received */
5225       ierr = MPI_Irecv(rowlen,nrows,MPIU_INT,rprocs[i],tag,comm,rwaits+i);CHKERRQ(ierr);
5226     }
5227 
5228     /* pack the outgoing message */
5229     ierr = PetscMalloc2(nsends+1,PetscInt,&sstartsj,nrecvs+1,PetscInt,&rstartsj);CHKERRQ(ierr);
5230     sstartsj[0] = 0;  rstartsj[0] = 0;
5231     len = 0; /* total length of j or a array to be sent */
5232     k = 0;
5233     for (i=0; i<nsends; i++){
5234       rowlen = (PetscInt*)svalues + sstarts[i]*sbs;
5235       nrows = sstarts[i+1]-sstarts[i]; /* num of block rows */
5236       for (j=0; j<nrows; j++) {
5237         row = srow[k] + B->rmap->range[rank]; /* global row idx */
5238         for (l=0; l<sbs; l++){
5239           ierr = MatGetRow_MPIAIJ(B,row+l,&ncols,PETSC_NULL,PETSC_NULL);CHKERRQ(ierr); /* rowlength */
5240           rowlen[j*sbs+l] = ncols;
5241           len += ncols;
5242           ierr = MatRestoreRow_MPIAIJ(B,row+l,&ncols,PETSC_NULL,PETSC_NULL);CHKERRQ(ierr);
5243         }
5244         k++;
5245       }
5246       ierr = MPI_Isend(rowlen,nrows*sbs,MPIU_INT,sprocs[i],tag,comm,swaits+i);CHKERRQ(ierr);
5247       sstartsj[i+1] = len;  /* starting point of (i+1)-th outgoing msg in bufj and bufa */
5248     }
5249     /* recvs and sends of i-array are completed */
5250     i = nrecvs;
5251     while (i--) {
5252       ierr = MPI_Waitany(nrecvs,rwaits,&jj,&rstatus);CHKERRQ(ierr);
5253     }
5254     if (nsends) {ierr = MPI_Waitall(nsends,swaits,sstatus);CHKERRQ(ierr);}
5255 
5256     /* allocate buffers for sending j and a arrays */
5257     ierr = PetscMalloc((len+1)*sizeof(PetscInt),&bufj);CHKERRQ(ierr);
5258     ierr = PetscMalloc((len+1)*sizeof(PetscScalar),&bufa);CHKERRQ(ierr);
5259 
5260     /* create i-array of B_oth */
5261     ierr = PetscMalloc((aBn+2)*sizeof(PetscInt),&b_othi);CHKERRQ(ierr);
5262     b_othi[0] = 0;
5263     len = 0; /* total length of j or a array to be received */
5264     k = 0;
5265     for (i=0; i<nrecvs; i++){
5266       rowlen = (PetscInt*)rvalues + rstarts[i]*rbs;
5267       nrows = rbs*(rstarts[i+1]-rstarts[i]); /* num of rows to be recieved */
5268       for (j=0; j<nrows; j++) {
5269         b_othi[k+1] = b_othi[k] + rowlen[j];
5270         len += rowlen[j]; k++;
5271       }
5272       rstartsj[i+1] = len; /* starting point of (i+1)-th incoming msg in bufj and bufa */
5273     }
5274 
5275     /* allocate space for j and a arrrays of B_oth */
5276     ierr = PetscMalloc((b_othi[aBn]+1)*sizeof(PetscInt),&b_othj);CHKERRQ(ierr);
5277     ierr = PetscMalloc((b_othi[aBn]+1)*sizeof(MatScalar),&b_otha);CHKERRQ(ierr);
5278 
5279     /* j-array */
5280     /*---------*/
5281     /*  post receives of j-array */
5282     for (i=0; i<nrecvs; i++){
5283       nrows = rstartsj[i+1]-rstartsj[i]; /* length of the msg received */
5284       ierr = MPI_Irecv(b_othj+rstartsj[i],nrows,MPIU_INT,rprocs[i],tag,comm,rwaits+i);CHKERRQ(ierr);
5285     }
5286 
5287     /* pack the outgoing message j-array */
5288     k = 0;
5289     for (i=0; i<nsends; i++){
5290       nrows = sstarts[i+1]-sstarts[i]; /* num of block rows */
5291       bufJ = bufj+sstartsj[i];
5292       for (j=0; j<nrows; j++) {
5293         row  = srow[k++] + B->rmap->range[rank]; /* global row idx */
5294         for (ll=0; ll<sbs; ll++){
5295           ierr = MatGetRow_MPIAIJ(B,row+ll,&ncols,&cols,PETSC_NULL);CHKERRQ(ierr);
5296           for (l=0; l<ncols; l++){
5297             *bufJ++ = cols[l];
5298           }
5299           ierr = MatRestoreRow_MPIAIJ(B,row+ll,&ncols,&cols,PETSC_NULL);CHKERRQ(ierr);
5300         }
5301       }
5302       ierr = MPI_Isend(bufj+sstartsj[i],sstartsj[i+1]-sstartsj[i],MPIU_INT,sprocs[i],tag,comm,swaits+i);CHKERRQ(ierr);
5303     }
5304 
5305     /* recvs and sends of j-array are completed */
5306     i = nrecvs;
5307     while (i--) {
5308       ierr = MPI_Waitany(nrecvs,rwaits,&jj,&rstatus);CHKERRQ(ierr);
5309     }
5310     if (nsends) {ierr = MPI_Waitall(nsends,swaits,sstatus);CHKERRQ(ierr);}
5311   } else if (scall == MAT_REUSE_MATRIX){
5312     sstartsj = *startsj_s;
5313     rstartsj = *startsj_r;
5314     bufa     = *bufa_ptr;
5315     b_oth    = (Mat_SeqAIJ*)(*B_oth)->data;
5316     b_otha   = b_oth->a;
5317   } else {
5318     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE, "Matrix P does not posses an object container");
5319   }
5320 
5321   /* a-array */
5322   /*---------*/
5323   /*  post receives of a-array */
5324   for (i=0; i<nrecvs; i++){
5325     nrows = rstartsj[i+1]-rstartsj[i]; /* length of the msg received */
5326     ierr = MPI_Irecv(b_otha+rstartsj[i],nrows,MPIU_SCALAR,rprocs[i],tag,comm,rwaits+i);CHKERRQ(ierr);
5327   }
5328 
5329   /* pack the outgoing message a-array */
5330   k = 0;
5331   for (i=0; i<nsends; i++){
5332     nrows = sstarts[i+1]-sstarts[i]; /* num of block rows */
5333     bufA = bufa+sstartsj[i];
5334     for (j=0; j<nrows; j++) {
5335       row  = srow[k++] + B->rmap->range[rank]; /* global row idx */
5336       for (ll=0; ll<sbs; ll++){
5337         ierr = MatGetRow_MPIAIJ(B,row+ll,&ncols,PETSC_NULL,&vals);CHKERRQ(ierr);
5338         for (l=0; l<ncols; l++){
5339           *bufA++ = vals[l];
5340         }
5341         ierr = MatRestoreRow_MPIAIJ(B,row+ll,&ncols,PETSC_NULL,&vals);CHKERRQ(ierr);
5342       }
5343     }
5344     ierr = MPI_Isend(bufa+sstartsj[i],sstartsj[i+1]-sstartsj[i],MPIU_SCALAR,sprocs[i],tag,comm,swaits+i);CHKERRQ(ierr);
5345   }
5346   /* recvs and sends of a-array are completed */
5347   i = nrecvs;
5348   while (i--) {
5349     ierr = MPI_Waitany(nrecvs,rwaits,&jj,&rstatus);CHKERRQ(ierr);
5350   }
5351   if (nsends) {ierr = MPI_Waitall(nsends,swaits,sstatus);CHKERRQ(ierr);}
5352   ierr = PetscFree2(rwaits,swaits);CHKERRQ(ierr);
5353 
5354   if (scall == MAT_INITIAL_MATRIX){
5355     /* put together the new matrix */
5356     ierr = MatCreateSeqAIJWithArrays(PETSC_COMM_SELF,aBn,B->cmap->N,b_othi,b_othj,b_otha,B_oth);CHKERRQ(ierr);
5357 
5358     /* MatCreateSeqAIJWithArrays flags matrix so PETSc doesn't free the user's arrays. */
5359     /* Since these are PETSc arrays, change flags to free them as necessary. */
5360     b_oth          = (Mat_SeqAIJ *)(*B_oth)->data;
5361     b_oth->free_a  = PETSC_TRUE;
5362     b_oth->free_ij = PETSC_TRUE;
5363     b_oth->nonew   = 0;
5364 
5365     ierr = PetscFree(bufj);CHKERRQ(ierr);
5366     if (!startsj_s || !bufa_ptr){
5367       ierr = PetscFree2(sstartsj,rstartsj);CHKERRQ(ierr);
5368       ierr = PetscFree(bufa_ptr);CHKERRQ(ierr);
5369     } else {
5370       *startsj_s = sstartsj;
5371       *startsj_r = rstartsj;
5372       *bufa_ptr  = bufa;
5373     }
5374   }
5375   ierr = PetscLogEventEnd(MAT_GetBrowsOfAocols,A,B,0,0);CHKERRQ(ierr);
5376   PetscFunctionReturn(0);
5377 }
5378 
5379 #undef __FUNCT__
5380 #define __FUNCT__ "MatGetCommunicationStructs"
5381 /*@C
5382   MatGetCommunicationStructs - Provides access to the communication structures used in matrix-vector multiplication.
5383 
5384   Not Collective
5385 
5386   Input Parameters:
5387 . A - The matrix in mpiaij format
5388 
5389   Output Parameter:
5390 + lvec - The local vector holding off-process values from the argument to a matrix-vector product
5391 . colmap - A map from global column index to local index into lvec
5392 - multScatter - A scatter from the argument of a matrix-vector product to lvec
5393 
5394   Level: developer
5395 
5396 @*/
5397 #if defined (PETSC_USE_CTABLE)
5398 PetscErrorCode  MatGetCommunicationStructs(Mat A, Vec *lvec, PetscTable *colmap, VecScatter *multScatter)
5399 #else
5400 PetscErrorCode  MatGetCommunicationStructs(Mat A, Vec *lvec, PetscInt *colmap[], VecScatter *multScatter)
5401 #endif
5402 {
5403   Mat_MPIAIJ *a;
5404 
5405   PetscFunctionBegin;
5406   PetscValidHeaderSpecific(A, MAT_CLASSID, 1);
5407   PetscValidPointer(lvec, 2);
5408   PetscValidPointer(colmap, 3);
5409   PetscValidPointer(multScatter, 4);
5410   a = (Mat_MPIAIJ *) A->data;
5411   if (lvec) *lvec = a->lvec;
5412   if (colmap) *colmap = a->colmap;
5413   if (multScatter) *multScatter = a->Mvctx;
5414   PetscFunctionReturn(0);
5415 }
5416 
5417 EXTERN_C_BEGIN
5418 extern PetscErrorCode  MatConvert_MPIAIJ_MPIAIJCRL(Mat,const MatType,MatReuse,Mat*);
5419 extern PetscErrorCode  MatConvert_MPIAIJ_MPIAIJPERM(Mat,const MatType,MatReuse,Mat*);
5420 extern PetscErrorCode  MatConvert_MPIAIJ_MPISBAIJ(Mat,const MatType,MatReuse,Mat*);
5421 EXTERN_C_END
5422 
5423 #undef __FUNCT__
5424 #define __FUNCT__ "MatMatMultNumeric_MPIDense_MPIAIJ"
5425 /*
5426     Computes (B'*A')' since computing B*A directly is untenable
5427 
5428                n                       p                          p
5429         (              )       (              )         (                  )
5430       m (      A       )  *  n (       B      )   =   m (         C        )
5431         (              )       (              )         (                  )
5432 
5433 */
5434 PetscErrorCode MatMatMultNumeric_MPIDense_MPIAIJ(Mat A,Mat B,Mat C)
5435 {
5436   PetscErrorCode     ierr;
5437   Mat                At,Bt,Ct;
5438 
5439   PetscFunctionBegin;
5440   ierr = MatTranspose(A,MAT_INITIAL_MATRIX,&At);CHKERRQ(ierr);
5441   ierr = MatTranspose(B,MAT_INITIAL_MATRIX,&Bt);CHKERRQ(ierr);
5442   ierr = MatMatMult(Bt,At,MAT_INITIAL_MATRIX,1.0,&Ct);CHKERRQ(ierr);
5443   ierr = MatDestroy(&At);CHKERRQ(ierr);
5444   ierr = MatDestroy(&Bt);CHKERRQ(ierr);
5445   ierr = MatTranspose(Ct,MAT_REUSE_MATRIX,&C);CHKERRQ(ierr);
5446   ierr = MatDestroy(&Ct);CHKERRQ(ierr);
5447   PetscFunctionReturn(0);
5448 }
5449 
5450 #undef __FUNCT__
5451 #define __FUNCT__ "MatMatMultSymbolic_MPIDense_MPIAIJ"
5452 PetscErrorCode MatMatMultSymbolic_MPIDense_MPIAIJ(Mat A,Mat B,PetscReal fill,Mat *C)
5453 {
5454   PetscErrorCode ierr;
5455   PetscInt       m=A->rmap->n,n=B->cmap->n;
5456   Mat            Cmat;
5457 
5458   PetscFunctionBegin;
5459   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);
5460   ierr = MatCreate(((PetscObject)A)->comm,&Cmat);CHKERRQ(ierr);
5461   ierr = MatSetSizes(Cmat,m,n,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
5462   ierr = MatSetBlockSizes(Cmat,A->rmap->bs,B->cmap->bs);CHKERRQ(ierr);
5463   ierr = MatSetType(Cmat,MATMPIDENSE);CHKERRQ(ierr);
5464   ierr = MatMPIDenseSetPreallocation(Cmat,PETSC_NULL);CHKERRQ(ierr);
5465   ierr = MatAssemblyBegin(Cmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
5466   ierr = MatAssemblyEnd(Cmat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
5467   *C   = Cmat;
5468   (*C)->ops->matmult = MatMatMult_MPIDense_MPIAIJ;
5469   PetscFunctionReturn(0);
5470 }
5471 
5472 /* ----------------------------------------------------------------*/
5473 #undef __FUNCT__
5474 #define __FUNCT__ "MatMatMult_MPIDense_MPIAIJ"
5475 PetscErrorCode MatMatMult_MPIDense_MPIAIJ(Mat A,Mat B,MatReuse scall,PetscReal fill,Mat *C)
5476 {
5477   PetscErrorCode ierr;
5478 
5479   PetscFunctionBegin;
5480   if (scall == MAT_INITIAL_MATRIX){
5481     ierr = MatMatMultSymbolic_MPIDense_MPIAIJ(A,B,fill,C);CHKERRQ(ierr);
5482   }
5483   ierr = MatMatMultNumeric_MPIDense_MPIAIJ(A,B,*C);CHKERRQ(ierr);
5484   PetscFunctionReturn(0);
5485 }
5486 
5487 EXTERN_C_BEGIN
5488 #if defined(PETSC_HAVE_MUMPS)
5489 extern PetscErrorCode MatGetFactor_aij_mumps(Mat,MatFactorType,Mat*);
5490 #endif
5491 #if defined(PETSC_HAVE_PASTIX)
5492 extern PetscErrorCode MatGetFactor_mpiaij_pastix(Mat,MatFactorType,Mat*);
5493 #endif
5494 #if defined(PETSC_HAVE_SUPERLU_DIST)
5495 extern PetscErrorCode MatGetFactor_mpiaij_superlu_dist(Mat,MatFactorType,Mat*);
5496 #endif
5497 #if defined(PETSC_HAVE_SPOOLES)
5498 extern PetscErrorCode MatGetFactor_mpiaij_spooles(Mat,MatFactorType,Mat*);
5499 #endif
5500 EXTERN_C_END
5501 
5502 /*MC
5503    MATMPIAIJ - MATMPIAIJ = "mpiaij" - A matrix type to be used for parallel sparse matrices.
5504 
5505    Options Database Keys:
5506 . -mat_type mpiaij - sets the matrix type to "mpiaij" during a call to MatSetFromOptions()
5507 
5508   Level: beginner
5509 
5510 .seealso: MatCreateAIJ()
5511 M*/
5512 
5513 EXTERN_C_BEGIN
5514 #undef __FUNCT__
5515 #define __FUNCT__ "MatCreate_MPIAIJ"
5516 PetscErrorCode  MatCreate_MPIAIJ(Mat B)
5517 {
5518   Mat_MPIAIJ     *b;
5519   PetscErrorCode ierr;
5520   PetscMPIInt    size;
5521 
5522   PetscFunctionBegin;
5523   ierr = MPI_Comm_size(((PetscObject)B)->comm,&size);CHKERRQ(ierr);
5524   ierr            = PetscNewLog(B,Mat_MPIAIJ,&b);CHKERRQ(ierr);
5525   B->data         = (void*)b;
5526   ierr            = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
5527   B->assembled    = PETSC_FALSE;
5528   B->insertmode   = NOT_SET_VALUES;
5529   b->size         = size;
5530   ierr = MPI_Comm_rank(((PetscObject)B)->comm,&b->rank);CHKERRQ(ierr);
5531 
5532   /* build cache for off array entries formed */
5533   ierr = MatStashCreate_Private(((PetscObject)B)->comm,1,&B->stash);CHKERRQ(ierr);
5534   b->donotstash  = PETSC_FALSE;
5535   b->colmap      = 0;
5536   b->garray      = 0;
5537   b->roworiented = PETSC_TRUE;
5538 
5539   /* stuff used for matrix vector multiply */
5540   b->lvec      = PETSC_NULL;
5541   b->Mvctx     = PETSC_NULL;
5542 
5543   /* stuff for MatGetRow() */
5544   b->rowindices   = 0;
5545   b->rowvalues    = 0;
5546   b->getrowactive = PETSC_FALSE;
5547 
5548   /* flexible pointer used in CUSP/CUSPARSE classes */
5549   b->spptr        = PETSC_NULL;
5550 #if defined(PETSC_HAVE_SPOOLES)
5551   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_spooles_C",
5552                                      "MatGetFactor_mpiaij_spooles",
5553                                      MatGetFactor_mpiaij_spooles);CHKERRQ(ierr);
5554 #endif
5555 #if defined(PETSC_HAVE_MUMPS)
5556   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_mumps_C",
5557                                      "MatGetFactor_aij_mumps",
5558                                      MatGetFactor_aij_mumps);CHKERRQ(ierr);
5559 #endif
5560 #if defined(PETSC_HAVE_PASTIX)
5561   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_pastix_C",
5562 					   "MatGetFactor_mpiaij_pastix",
5563 					   MatGetFactor_mpiaij_pastix);CHKERRQ(ierr);
5564 #endif
5565 #if defined(PETSC_HAVE_SUPERLU_DIST)
5566   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_superlu_dist_C",
5567                                      "MatGetFactor_mpiaij_superlu_dist",
5568                                      MatGetFactor_mpiaij_superlu_dist);CHKERRQ(ierr);
5569 #endif
5570   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatStoreValues_C",
5571                                      "MatStoreValues_MPIAIJ",
5572                                      MatStoreValues_MPIAIJ);CHKERRQ(ierr);
5573   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatRetrieveValues_C",
5574                                      "MatRetrieveValues_MPIAIJ",
5575                                      MatRetrieveValues_MPIAIJ);CHKERRQ(ierr);
5576   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetDiagonalBlock_C",
5577 				     "MatGetDiagonalBlock_MPIAIJ",
5578                                      MatGetDiagonalBlock_MPIAIJ);CHKERRQ(ierr);
5579   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatIsTranspose_C",
5580 				     "MatIsTranspose_MPIAIJ",
5581 				     MatIsTranspose_MPIAIJ);CHKERRQ(ierr);
5582   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMPIAIJSetPreallocation_C",
5583 				     "MatMPIAIJSetPreallocation_MPIAIJ",
5584 				     MatMPIAIJSetPreallocation_MPIAIJ);CHKERRQ(ierr);
5585   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMPIAIJSetPreallocationCSR_C",
5586 				     "MatMPIAIJSetPreallocationCSR_MPIAIJ",
5587 				     MatMPIAIJSetPreallocationCSR_MPIAIJ);CHKERRQ(ierr);
5588   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatDiagonalScaleLocal_C",
5589 				     "MatDiagonalScaleLocal_MPIAIJ",
5590 				     MatDiagonalScaleLocal_MPIAIJ);CHKERRQ(ierr);
5591   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_mpiaij_mpiaijperm_C",
5592                                      "MatConvert_MPIAIJ_MPIAIJPERM",
5593                                       MatConvert_MPIAIJ_MPIAIJPERM);CHKERRQ(ierr);
5594   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_mpiaij_mpiaijcrl_C",
5595                                      "MatConvert_MPIAIJ_MPIAIJCRL",
5596                                       MatConvert_MPIAIJ_MPIAIJCRL);CHKERRQ(ierr);
5597   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_mpiaij_mpisbaij_C",
5598                                      "MatConvert_MPIAIJ_MPISBAIJ",
5599                                       MatConvert_MPIAIJ_MPISBAIJ);CHKERRQ(ierr);
5600   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMatMult_mpidense_mpiaij_C",
5601                                      "MatMatMult_MPIDense_MPIAIJ",
5602                                       MatMatMult_MPIDense_MPIAIJ);CHKERRQ(ierr);
5603   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMatMultSymbolic_mpidense_mpiaij_C",
5604                                      "MatMatMultSymbolic_MPIDense_MPIAIJ",
5605                                      MatMatMultSymbolic_MPIDense_MPIAIJ);CHKERRQ(ierr);
5606   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatMatMultNumeric_mpidense_mpiaij_C",
5607                                      "MatMatMultNumeric_MPIDense_MPIAIJ",
5608                                       MatMatMultNumeric_MPIDense_MPIAIJ);CHKERRQ(ierr);
5609   ierr = PetscObjectChangeTypeName((PetscObject)B,MATMPIAIJ);CHKERRQ(ierr);
5610   PetscFunctionReturn(0);
5611 }
5612 EXTERN_C_END
5613 
5614 #undef __FUNCT__
5615 #define __FUNCT__ "MatCreateMPIAIJWithSplitArrays"
5616 /*@
5617      MatCreateMPIAIJWithSplitArrays - creates a MPI AIJ matrix using arrays that contain the "diagonal"
5618          and "off-diagonal" part of the matrix in CSR format.
5619 
5620    Collective on MPI_Comm
5621 
5622    Input Parameters:
5623 +  comm - MPI communicator
5624 .  m - number of local rows (Cannot be PETSC_DECIDE)
5625 .  n - This value should be the same as the local size used in creating the
5626        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
5627        calculated if N is given) For square matrices n is almost always m.
5628 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
5629 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
5630 .   i - row indices for "diagonal" portion of matrix
5631 .   j - column indices
5632 .   a - matrix values
5633 .   oi - row indices for "off-diagonal" portion of matrix
5634 .   oj - column indices
5635 -   oa - matrix values
5636 
5637    Output Parameter:
5638 .   mat - the matrix
5639 
5640    Level: advanced
5641 
5642    Notes:
5643        The i, j, and a arrays ARE NOT copied by this routine into the internal format used by PETSc. The user
5644        must free the arrays once the matrix has been destroyed and not before.
5645 
5646        The i and j indices are 0 based
5647 
5648        See MatCreateAIJ() for the definition of "diagonal" and "off-diagonal" portion of the matrix
5649 
5650        This sets local rows and cannot be used to set off-processor values.
5651 
5652        You cannot later use MatSetValues() to change values in this matrix.
5653 
5654 .keywords: matrix, aij, compressed row, sparse, parallel
5655 
5656 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
5657           MPIAIJ, MatCreateAIJ(), MatCreateMPIAIJWithArrays()
5658 @*/
5659 PetscErrorCode  MatCreateMPIAIJWithSplitArrays(MPI_Comm comm,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt i[],PetscInt j[],PetscScalar a[],
5660 								PetscInt oi[], PetscInt oj[],PetscScalar oa[],Mat *mat)
5661 {
5662   PetscErrorCode ierr;
5663   Mat_MPIAIJ     *maij;
5664 
5665  PetscFunctionBegin;
5666   if (m < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"local number of rows (m) cannot be PETSC_DECIDE, or negative");
5667   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
5668   if (oi[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"oi (row indices) must start with 0");
5669   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
5670   ierr = MatSetSizes(*mat,m,n,M,N);CHKERRQ(ierr);
5671   ierr = MatSetType(*mat,MATMPIAIJ);CHKERRQ(ierr);
5672   maij = (Mat_MPIAIJ*) (*mat)->data;
5673   maij->donotstash     = PETSC_TRUE;
5674   (*mat)->preallocated = PETSC_TRUE;
5675 
5676   ierr = PetscLayoutSetUp((*mat)->rmap);CHKERRQ(ierr);
5677   ierr = PetscLayoutSetUp((*mat)->cmap);CHKERRQ(ierr);
5678 
5679   ierr = MatCreateSeqAIJWithArrays(PETSC_COMM_SELF,m,n,i,j,a,&maij->A);CHKERRQ(ierr);
5680   ierr = MatCreateSeqAIJWithArrays(PETSC_COMM_SELF,m,(*mat)->cmap->N,oi,oj,oa,&maij->B);CHKERRQ(ierr);
5681 
5682   ierr = MatAssemblyBegin(maij->A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
5683   ierr = MatAssemblyEnd(maij->A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
5684   ierr = MatAssemblyBegin(maij->B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
5685   ierr = MatAssemblyEnd(maij->B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
5686 
5687   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
5688   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
5689   PetscFunctionReturn(0);
5690 }
5691 
5692 /*
5693     Special version for direct calls from Fortran
5694 */
5695 #include <petsc-private/fortranimpl.h>
5696 
5697 #if defined(PETSC_HAVE_FORTRAN_CAPS)
5698 #define matsetvaluesmpiaij_ MATSETVALUESMPIAIJ
5699 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
5700 #define matsetvaluesmpiaij_ matsetvaluesmpiaij
5701 #endif
5702 
5703 /* Change these macros so can be used in void function */
5704 #undef CHKERRQ
5705 #define CHKERRQ(ierr) CHKERRABORT(PETSC_COMM_WORLD,ierr)
5706 #undef SETERRQ2
5707 #define SETERRQ2(comm,ierr,b,c,d) CHKERRABORT(comm,ierr)
5708 #undef SETERRQ3
5709 #define SETERRQ3(comm,ierr,b,c,d,e) CHKERRABORT(comm,ierr)
5710 #undef SETERRQ
5711 #define SETERRQ(c,ierr,b) CHKERRABORT(c,ierr)
5712 
5713 EXTERN_C_BEGIN
5714 #undef __FUNCT__
5715 #define __FUNCT__ "matsetvaluesmpiaij_"
5716 void PETSC_STDCALL matsetvaluesmpiaij_(Mat *mmat,PetscInt *mm,const PetscInt im[],PetscInt *mn,const PetscInt in[],const PetscScalar v[],InsertMode *maddv,PetscErrorCode *_ierr)
5717 {
5718   Mat             mat = *mmat;
5719   PetscInt        m = *mm, n = *mn;
5720   InsertMode      addv = *maddv;
5721   Mat_MPIAIJ      *aij = (Mat_MPIAIJ*)mat->data;
5722   PetscScalar     value;
5723   PetscErrorCode  ierr;
5724 
5725   MatCheckPreallocated(mat,1);
5726   if (mat->insertmode == NOT_SET_VALUES) {
5727     mat->insertmode = addv;
5728   }
5729 #if defined(PETSC_USE_DEBUG)
5730   else if (mat->insertmode != addv) {
5731     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
5732   }
5733 #endif
5734   {
5735   PetscInt        i,j,rstart = mat->rmap->rstart,rend = mat->rmap->rend;
5736   PetscInt        cstart = mat->cmap->rstart,cend = mat->cmap->rend,row,col;
5737   PetscBool       roworiented = aij->roworiented;
5738 
5739   /* Some Variables required in the macro */
5740   Mat             A = aij->A;
5741   Mat_SeqAIJ      *a = (Mat_SeqAIJ*)A->data;
5742   PetscInt        *aimax = a->imax,*ai = a->i,*ailen = a->ilen,*aj = a->j;
5743   MatScalar       *aa = a->a;
5744   PetscBool       ignorezeroentries = (((a->ignorezeroentries)&&(addv==ADD_VALUES))?PETSC_TRUE:PETSC_FALSE);
5745   Mat             B = aij->B;
5746   Mat_SeqAIJ      *b = (Mat_SeqAIJ*)B->data;
5747   PetscInt        *bimax = b->imax,*bi = b->i,*bilen = b->ilen,*bj = b->j,bm = aij->B->rmap->n,am = aij->A->rmap->n;
5748   MatScalar       *ba = b->a;
5749 
5750   PetscInt        *rp1,*rp2,ii,nrow1,nrow2,_i,rmax1,rmax2,N,low1,high1,low2,high2,t,lastcol1,lastcol2;
5751   PetscInt        nonew = a->nonew;
5752   MatScalar       *ap1,*ap2;
5753 
5754   PetscFunctionBegin;
5755   for (i=0; i<m; i++) {
5756     if (im[i] < 0) continue;
5757 #if defined(PETSC_USE_DEBUG)
5758     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);
5759 #endif
5760     if (im[i] >= rstart && im[i] < rend) {
5761       row      = im[i] - rstart;
5762       lastcol1 = -1;
5763       rp1      = aj + ai[row];
5764       ap1      = aa + ai[row];
5765       rmax1    = aimax[row];
5766       nrow1    = ailen[row];
5767       low1     = 0;
5768       high1    = nrow1;
5769       lastcol2 = -1;
5770       rp2      = bj + bi[row];
5771       ap2      = ba + bi[row];
5772       rmax2    = bimax[row];
5773       nrow2    = bilen[row];
5774       low2     = 0;
5775       high2    = nrow2;
5776 
5777       for (j=0; j<n; j++) {
5778         if (roworiented) value = v[i*n+j]; else value = v[i+j*m];
5779         if (ignorezeroentries && value == 0.0 && (addv == ADD_VALUES)) continue;
5780         if (in[j] >= cstart && in[j] < cend){
5781           col = in[j] - cstart;
5782           MatSetValues_SeqAIJ_A_Private(row,col,value,addv);
5783         } else if (in[j] < 0) continue;
5784 #if defined(PETSC_USE_DEBUG)
5785         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);
5786 #endif
5787         else {
5788           if (mat->was_assembled) {
5789             if (!aij->colmap) {
5790               ierr = MatCreateColmap_MPIAIJ_Private(mat);CHKERRQ(ierr);
5791             }
5792 #if defined (PETSC_USE_CTABLE)
5793             ierr = PetscTableFind(aij->colmap,in[j]+1,&col);CHKERRQ(ierr);
5794 	    col--;
5795 #else
5796             col = aij->colmap[in[j]] - 1;
5797 #endif
5798             if (col < 0 && !((Mat_SeqAIJ*)(aij->A->data))->nonew) {
5799               ierr = MatDisAssemble_MPIAIJ(mat);CHKERRQ(ierr);
5800               col =  in[j];
5801               /* Reinitialize the variables required by MatSetValues_SeqAIJ_B_Private() */
5802               B = aij->B;
5803               b = (Mat_SeqAIJ*)B->data;
5804               bimax = b->imax; bi = b->i; bilen = b->ilen; bj = b->j;
5805               rp2      = bj + bi[row];
5806               ap2      = ba + bi[row];
5807               rmax2    = bimax[row];
5808               nrow2    = bilen[row];
5809               low2     = 0;
5810               high2    = nrow2;
5811               bm       = aij->B->rmap->n;
5812               ba = b->a;
5813             }
5814           } else col = in[j];
5815           MatSetValues_SeqAIJ_B_Private(row,col,value,addv);
5816         }
5817       }
5818     } else {
5819       if (!aij->donotstash) {
5820         if (roworiented) {
5821           ierr = MatStashValuesRow_Private(&mat->stash,im[i],n,in,v+i*n,(PetscBool)(ignorezeroentries && (addv == ADD_VALUES)));CHKERRQ(ierr);
5822         } else {
5823           ierr = MatStashValuesCol_Private(&mat->stash,im[i],n,in,v+i,m,(PetscBool)(ignorezeroentries && (addv == ADD_VALUES)));CHKERRQ(ierr);
5824         }
5825       }
5826     }
5827   }}
5828   PetscFunctionReturnVoid();
5829 }
5830 EXTERN_C_END
5831 
5832