xref: /petsc/src/mat/impls/aij/mpi/mpiaij.c (revision 0a6ffc59e7a497904928c31cc7b35d692f424e86)
1 
2 #ifdef PETSC_RCS_HEADER
3 static char vcid[] = "$Id: mpiaij.c,v 1.251 1998/06/19 15:56:02 bsmith Exp balay $";
4 #endif
5 
6 #include "pinclude/pviewer.h"
7 #include "src/mat/impls/aij/mpi/mpiaij.h"
8 #include "src/vec/vecimpl.h"
9 #include "src/inline/spops.h"
10 
11 /* local utility routine that creates a mapping from the global column
12 number to the local number in the off-diagonal part of the local
13 storage of the matrix.  This is done in a non scable way since the
14 length of colmap equals the global matrix length.
15 */
16 #undef __FUNC__
17 #define __FUNC__ "CreateColmap_MPIAIJ_Private"
18 int CreateColmap_MPIAIJ_Private(Mat mat)
19 {
20   Mat_MPIAIJ *aij = (Mat_MPIAIJ *) mat->data;
21   Mat_SeqAIJ *B = (Mat_SeqAIJ*) aij->B->data;
22   int        n = B->n,i;
23 
24   PetscFunctionBegin;
25   aij->colmap = (int *) PetscMalloc((aij->N+1)*sizeof(int));CHKPTRQ(aij->colmap);
26   PLogObjectMemory(mat,aij->N*sizeof(int));
27   PetscMemzero(aij->colmap,aij->N*sizeof(int));
28   for ( i=0; i<n; i++ ) aij->colmap[aij->garray[i]] = i+1;
29   PetscFunctionReturn(0);
30 }
31 
32 extern int DisAssemble_MPIAIJ(Mat);
33 
34 #define CHUNKSIZE   15
35 #define MatSetValues_SeqAIJ_A_Private(row,col,value,addv) \
36 { \
37  \
38     rp   = aj + ai[row] + shift; ap = aa + ai[row] + shift; \
39     rmax = aimax[row]; nrow = ailen[row];  \
40     col1 = col - shift; \
41      \
42     low = 0; high = nrow; \
43     while (high-low > 5) { \
44       t = (low+high)/2; \
45       if (rp[t] > col) high = t; \
46       else             low  = t; \
47     } \
48       for ( _i=0; _i<nrow; _i++ ) { \
49         if (rp[_i] > col1) break; \
50         if (rp[_i] == col1) { \
51           if (addv == ADD_VALUES) ap[_i] += value;   \
52           else                  ap[_i] = value; \
53           goto a_noinsert; \
54         } \
55       }  \
56       if (nonew == 1) goto a_noinsert; \
57       else if (nonew == -1) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,0,"Inserting a new nonzero into matrix"); \
58       if (nrow >= rmax) { \
59         /* there is no extra room in row, therefore enlarge */ \
60         int    new_nz = ai[a->m] + CHUNKSIZE,len,*new_i,*new_j; \
61         Scalar *new_a; \
62  \
63         if (nonew == -2) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,0,"Inserting a new nonzero in the matrix"); \
64  \
65         /* malloc new storage space */ \
66         len     = new_nz*(sizeof(int)+sizeof(Scalar))+(a->m+1)*sizeof(int); \
67         new_a   = (Scalar *) PetscMalloc( len ); CHKPTRQ(new_a); \
68         new_j   = (int *) (new_a + new_nz); \
69         new_i   = new_j + new_nz; \
70  \
71         /* copy over old data into new slots */ \
72         for ( ii=0; ii<row+1; ii++ ) {new_i[ii] = ai[ii];} \
73         for ( ii=row+1; ii<a->m+1; ii++ ) {new_i[ii] = ai[ii]+CHUNKSIZE;} \
74         PetscMemcpy(new_j,aj,(ai[row]+nrow+shift)*sizeof(int)); \
75         len = (new_nz - CHUNKSIZE - ai[row] - nrow - shift); \
76         PetscMemcpy(new_j+ai[row]+shift+nrow+CHUNKSIZE,aj+ai[row]+shift+nrow, \
77                                                            len*sizeof(int)); \
78         PetscMemcpy(new_a,aa,(ai[row]+nrow+shift)*sizeof(Scalar)); \
79         PetscMemcpy(new_a+ai[row]+shift+nrow+CHUNKSIZE,aa+ai[row]+shift+nrow, \
80                                                            len*sizeof(Scalar));  \
81         /* free up old matrix storage */ \
82  \
83         PetscFree(a->a);  \
84         if (!a->singlemalloc) {PetscFree(a->i);PetscFree(a->j);} \
85         aa = a->a = new_a; ai = a->i = new_i; aj = a->j = new_j;  \
86         a->singlemalloc = 1; \
87  \
88         rp   = aj + ai[row] + shift; ap = aa + ai[row] + shift; \
89         rmax = aimax[row] = aimax[row] + CHUNKSIZE; \
90         PLogObjectMemory(A,CHUNKSIZE*(sizeof(int) + sizeof(Scalar))); \
91         a->maxnz += CHUNKSIZE; \
92         a->reallocs++; \
93       } \
94       N = nrow++ - 1; a->nz++; \
95       /* shift up all the later entries in this row */ \
96       for ( ii=N; ii>=_i; ii-- ) { \
97         rp[ii+1] = rp[ii]; \
98         ap[ii+1] = ap[ii]; \
99       } \
100       rp[_i] = col1;  \
101       ap[_i] = value;  \
102       a_noinsert: ; \
103       ailen[row] = nrow; \
104 }
105 
106 #define MatSetValues_SeqAIJ_B_Private(row,col,value,addv) \
107 { \
108  \
109     rp   = bj + bi[row] + shift; ap = ba + bi[row] + shift; \
110     rmax = bimax[row]; nrow = bilen[row];  \
111     col1 = col - shift; \
112      \
113     low = 0; high = nrow; \
114     while (high-low > 5) { \
115       t = (low+high)/2; \
116       if (rp[t] > col) high = t; \
117       else             low  = t; \
118     } \
119        for ( _i=0; _i<nrow; _i++ ) { \
120         if (rp[_i] > col1) break; \
121         if (rp[_i] == col1) { \
122           if (addv == ADD_VALUES) ap[_i] += value;   \
123           else                  ap[_i] = value; \
124           goto b_noinsert; \
125         } \
126       }  \
127       if (nonew == 1) goto b_noinsert; \
128       else if (nonew == -1) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,0,"Inserting a new nonzero into matrix"); \
129       if (nrow >= rmax) { \
130         /* there is no extra room in row, therefore enlarge */ \
131         int    new_nz = bi[b->m] + CHUNKSIZE,len,*new_i,*new_j; \
132         Scalar *new_a; \
133  \
134         if (nonew == -2) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,0,"Inserting a new nonzero in the matrix"); \
135  \
136         /* malloc new storage space */ \
137         len     = new_nz*(sizeof(int)+sizeof(Scalar))+(b->m+1)*sizeof(int); \
138         new_a   = (Scalar *) PetscMalloc( len ); CHKPTRQ(new_a); \
139         new_j   = (int *) (new_a + new_nz); \
140         new_i   = new_j + new_nz; \
141  \
142         /* copy over old data into new slots */ \
143         for ( ii=0; ii<row+1; ii++ ) {new_i[ii] = bi[ii];} \
144         for ( ii=row+1; ii<b->m+1; ii++ ) {new_i[ii] = bi[ii]+CHUNKSIZE;} \
145         PetscMemcpy(new_j,bj,(bi[row]+nrow+shift)*sizeof(int)); \
146         len = (new_nz - CHUNKSIZE - bi[row] - nrow - shift); \
147         PetscMemcpy(new_j+bi[row]+shift+nrow+CHUNKSIZE,bj+bi[row]+shift+nrow, \
148                                                            len*sizeof(int)); \
149         PetscMemcpy(new_a,ba,(bi[row]+nrow+shift)*sizeof(Scalar)); \
150         PetscMemcpy(new_a+bi[row]+shift+nrow+CHUNKSIZE,ba+bi[row]+shift+nrow, \
151                                                            len*sizeof(Scalar));  \
152         /* free up old matrix storage */ \
153  \
154         PetscFree(b->a);  \
155         if (!b->singlemalloc) {PetscFree(b->i);PetscFree(b->j);} \
156         ba = b->a = new_a; bi = b->i = new_i; bj = b->j = new_j;  \
157         b->singlemalloc = 1; \
158  \
159         rp   = bj + bi[row] + shift; ap = ba + bi[row] + shift; \
160         rmax = bimax[row] = bimax[row] + CHUNKSIZE; \
161         PLogObjectMemory(B,CHUNKSIZE*(sizeof(int) + sizeof(Scalar))); \
162         b->maxnz += CHUNKSIZE; \
163         b->reallocs++; \
164       } \
165       N = nrow++ - 1; b->nz++; \
166       /* shift up all the later entries in this row */ \
167       for ( ii=N; ii>=_i; ii-- ) { \
168         rp[ii+1] = rp[ii]; \
169         ap[ii+1] = ap[ii]; \
170       } \
171       rp[_i] = col1;  \
172       ap[_i] = value;  \
173       b_noinsert: ; \
174       bilen[row] = nrow; \
175 }
176 
177 extern int MatSetValues_SeqAIJ(Mat,int,int*,int,int*,Scalar*,InsertMode);
178 #undef __FUNC__
179 #define __FUNC__ "MatSetValues_MPIAIJ"
180 int MatSetValues_MPIAIJ(Mat mat,int m,int *im,int n,int *in,Scalar *v,InsertMode addv)
181 {
182   Mat_MPIAIJ *aij = (Mat_MPIAIJ *) mat->data;
183   Scalar     value;
184   int        ierr,i,j, rstart = aij->rstart, rend = aij->rend;
185   int        cstart = aij->cstart, cend = aij->cend,row,col;
186   int        roworiented = aij->roworiented;
187 
188   /* Some Variables required in the macro */
189   Mat        A = aij->A;
190   Mat_SeqAIJ *a = (Mat_SeqAIJ *) A->data;
191   int        *aimax = a->imax, *ai = a->i, *ailen = a->ilen,*aj = a->j;
192   Scalar     *aa = a->a;
193 
194   Mat        B = aij->B;
195   Mat_SeqAIJ *b = (Mat_SeqAIJ *) B->data;
196   int        *bimax = b->imax, *bi = b->i, *bilen = b->ilen,*bj = b->j;
197   Scalar     *ba = b->a;
198 
199   int        *rp,ii,nrow,_i,rmax, N, col1,low,high,t;
200   int        nonew = a->nonew,shift = a->indexshift;
201   Scalar     *ap;
202 
203   PetscFunctionBegin;
204   for ( i=0; i<m; i++ ) {
205 #if defined(USE_PETSC_BOPT_g)
206     if (im[i] < 0) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,0,"Negative row");
207     if (im[i] >= aij->M) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,0,"Row too large");
208 #endif
209     if (im[i] >= rstart && im[i] < rend) {
210       row = im[i] - rstart;
211       for ( j=0; j<n; j++ ) {
212         if (in[j] >= cstart && in[j] < cend){
213           col = in[j] - cstart;
214           if (roworiented) value = v[i*n+j]; else value = v[i+j*m];
215           MatSetValues_SeqAIJ_A_Private(row,col,value,addv);
216           /* ierr = MatSetValues_SeqAIJ(aij->A,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
217         }
218 #if defined(USE_PETSC_BOPT_g)
219         else if (in[j] < 0) {SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,0,"Negative column");}
220         else if (in[j] >= aij->N) {SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,0,"Column too large");}
221 #endif
222         else {
223           if (mat->was_assembled) {
224             if (!aij->colmap) {
225               ierr = CreateColmap_MPIAIJ_Private(mat);CHKERRQ(ierr);
226             }
227             col = aij->colmap[in[j]] - 1;
228             if (col < 0 && !((Mat_SeqAIJ*)(aij->A->data))->nonew) {
229               ierr = DisAssemble_MPIAIJ(mat); CHKERRQ(ierr);
230               col =  in[j];
231               /* Reinitialize the variables required by MatSetValues_SeqAIJ_B_Private() */
232               B = aij->B;
233               b = (Mat_SeqAIJ *) B->data;
234               bimax = b->imax; bi = b->i; bilen = b->ilen; bj = b->j;
235               ba = b->a;
236             }
237           } else col = in[j];
238           if (roworiented) value = v[i*n+j]; else value = v[i+j*m];
239           MatSetValues_SeqAIJ_B_Private(row,col,value,addv);
240           /* ierr = MatSetValues_SeqAIJ(aij->B,1,&row,1,&col,&value,addv);CHKERRQ(ierr); */
241         }
242       }
243     }
244     else {
245       if (roworiented && !aij->donotstash) {
246         ierr = StashValues_Private(&aij->stash,im[i],n,in,v+i*n,addv);CHKERRQ(ierr);
247       }
248       else {
249         if (!aij->donotstash) {
250           row = im[i];
251           for ( j=0; j<n; j++ ) {
252             ierr = StashValues_Private(&aij->stash,row,1,in+j,v+i+j*m,addv);CHKERRQ(ierr);
253           }
254         }
255       }
256     }
257   }
258   PetscFunctionReturn(0);
259 }
260 
261 #undef __FUNC__
262 #define __FUNC__ "MatGetValues_MPIAIJ"
263 int MatGetValues_MPIAIJ(Mat mat,int m,int *idxm,int n,int *idxn,Scalar *v)
264 {
265   Mat_MPIAIJ *aij = (Mat_MPIAIJ *) mat->data;
266   int        ierr,i,j, rstart = aij->rstart, rend = aij->rend;
267   int        cstart = aij->cstart, cend = aij->cend,row,col;
268 
269   PetscFunctionBegin;
270   for ( i=0; i<m; i++ ) {
271     if (idxm[i] < 0) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,0,"Negative row");
272     if (idxm[i] >= aij->M) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,0,"Row too large");
273     if (idxm[i] >= rstart && idxm[i] < rend) {
274       row = idxm[i] - rstart;
275       for ( j=0; j<n; j++ ) {
276         if (idxn[j] < 0) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,0,"Negative column");
277         if (idxn[j] >= aij->N) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,0,"Column too large");
278         if (idxn[j] >= cstart && idxn[j] < cend){
279           col = idxn[j] - cstart;
280           ierr = MatGetValues(aij->A,1,&row,1,&col,v+i*n+j); CHKERRQ(ierr);
281         } else {
282           if (!aij->colmap) {
283             ierr = CreateColmap_MPIAIJ_Private(mat);CHKERRQ(ierr);
284           }
285           col = aij->colmap[idxn[j]] - 1;
286           if ((col < 0) || (aij->garray[col] != idxn[j])) *(v+i*n+j) = 0.0;
287           else {
288             ierr = MatGetValues(aij->B,1,&row,1,&col,v+i*n+j); CHKERRQ(ierr);
289           }
290         }
291       }
292     } else {
293       SETERRQ(PETSC_ERR_SUP,0,"Only local values currently supported");
294     }
295   }
296   PetscFunctionReturn(0);
297 }
298 
299 #undef __FUNC__
300 #define __FUNC__ "MatAssemblyBegin_MPIAIJ"
301 int MatAssemblyBegin_MPIAIJ(Mat mat,MatAssemblyType mode)
302 {
303   Mat_MPIAIJ  *aij = (Mat_MPIAIJ *) mat->data;
304   MPI_Comm    comm = mat->comm;
305   int         size = aij->size, *owners = aij->rowners;
306   int         rank = aij->rank,tag = mat->tag, *owner,*starts,count,ierr;
307   MPI_Request *send_waits,*recv_waits;
308   int         *nprocs,i,j,idx,*procs,nsends,nreceives,nmax,*work;
309   InsertMode  addv;
310   Scalar      *rvalues,*svalues;
311 
312   PetscFunctionBegin;
313   if (aij->donotstash) {
314     aij->svalues    = 0; aij->rvalues    = 0;
315     aij->nsends     = 0; aij->nrecvs     = 0;
316     aij->send_waits = 0; aij->recv_waits = 0;
317     aij->rmax       = 0;
318     PetscFunctionReturn(0);
319   }
320 
321   /* make sure all processors are either in INSERTMODE or ADDMODE */
322   ierr = MPI_Allreduce(&mat->insertmode,&addv,1,MPI_INT,MPI_BOR,comm);CHKERRQ(ierr);
323   if (addv == (ADD_VALUES|INSERT_VALUES)) {
324     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,0,"Some processors inserted others added");
325   }
326   mat->insertmode = addv; /* in case this processor had no cache */
327 
328   /*  first count number of contributors to each processor */
329   nprocs = (int *) PetscMalloc( 2*size*sizeof(int) ); CHKPTRQ(nprocs);
330   PetscMemzero(nprocs,2*size*sizeof(int)); procs = nprocs + size;
331   owner = (int *) PetscMalloc( (aij->stash.n+1)*sizeof(int) ); CHKPTRQ(owner);
332   for ( i=0; i<aij->stash.n; i++ ) {
333     idx = aij->stash.idx[i];
334     for ( j=0; j<size; j++ ) {
335       if (idx >= owners[j] && idx < owners[j+1]) {
336         nprocs[j]++; procs[j] = 1; owner[i] = j; break;
337       }
338     }
339   }
340   nsends = 0;  for ( i=0; i<size; i++ ) { nsends += procs[i];}
341 
342   /* inform other processors of number of messages and max length*/
343   work = (int *) PetscMalloc( size*sizeof(int) ); CHKPTRQ(work);
344   ierr = MPI_Allreduce(procs, work,size,MPI_INT,MPI_SUM,comm);CHKERRQ(ierr);
345   nreceives = work[rank];
346   ierr = MPI_Allreduce( nprocs, work,size,MPI_INT,MPI_MAX,comm);CHKERRQ(ierr);
347   nmax = work[rank];
348   PetscFree(work);
349 
350   /* post receives:
351        1) each message will consist of ordered pairs
352      (global index,value) we store the global index as a double
353      to simplify the message passing.
354        2) since we don't know how long each individual message is we
355      allocate the largest needed buffer for each receive. Potentially
356      this is a lot of wasted space.
357 
358 
359        This could be done better.
360   */
361   rvalues    = (Scalar *) PetscMalloc(3*(nreceives+1)*(nmax+1)*sizeof(Scalar));CHKPTRQ(rvalues);
362   recv_waits = (MPI_Request *) PetscMalloc((nreceives+1)*sizeof(MPI_Request));CHKPTRQ(recv_waits);
363   for ( i=0; i<nreceives; i++ ) {
364     ierr = MPI_Irecv(rvalues+3*nmax*i,3*nmax,MPIU_SCALAR,MPI_ANY_SOURCE,tag,
365               comm,recv_waits+i);CHKERRQ(ierr);
366   }
367 
368   /* do sends:
369       1) starts[i] gives the starting index in svalues for stuff going to
370          the ith processor
371   */
372   svalues    = (Scalar *) PetscMalloc(3*(aij->stash.n+1)*sizeof(Scalar));CHKPTRQ(svalues);
373   send_waits = (MPI_Request *) PetscMalloc( (nsends+1)*sizeof(MPI_Request));CHKPTRQ(send_waits);
374   starts     = (int *) PetscMalloc( size*sizeof(int) ); CHKPTRQ(starts);
375   starts[0]  = 0;
376   for ( i=1; i<size; i++ ) { starts[i] = starts[i-1] + nprocs[i-1];}
377   for ( i=0; i<aij->stash.n; i++ ) {
378     svalues[3*starts[owner[i]]]       = (Scalar)  aij->stash.idx[i];
379     svalues[3*starts[owner[i]]+1]     = (Scalar)  aij->stash.idy[i];
380     svalues[3*(starts[owner[i]]++)+2] =  aij->stash.array[i];
381   }
382   PetscFree(owner);
383   starts[0] = 0;
384   for ( i=1; i<size; i++ ) { starts[i] = starts[i-1] + nprocs[i-1];}
385   count = 0;
386   for ( i=0; i<size; i++ ) {
387     if (procs[i]) {
388       ierr = MPI_Isend(svalues+3*starts[i],3*nprocs[i],MPIU_SCALAR,i,tag,comm,send_waits+count++);CHKERRQ(ierr);
389     }
390   }
391   PetscFree(starts);
392   PetscFree(nprocs);
393 
394   /* Free cache space */
395   PLogInfo(aij->A,"MatAssemblyBegin_MPIAIJ:Number of off-processor values %d\n",aij->stash.n);
396   ierr = StashDestroy_Private(&aij->stash); CHKERRQ(ierr);
397 
398   aij->svalues    = svalues;    aij->rvalues    = rvalues;
399   aij->nsends     = nsends;     aij->nrecvs     = nreceives;
400   aij->send_waits = send_waits; aij->recv_waits = recv_waits;
401   aij->rmax       = nmax;
402 
403   PetscFunctionReturn(0);
404 }
405 extern int MatSetUpMultiply_MPIAIJ(Mat);
406 
407 #undef __FUNC__
408 #define __FUNC__ "MatAssemblyEnd_MPIAIJ"
409 int MatAssemblyEnd_MPIAIJ(Mat mat,MatAssemblyType mode)
410 {
411   Mat_MPIAIJ *aij = (Mat_MPIAIJ *) mat->data;
412   MPI_Status  *send_status,recv_status;
413   int         imdex,nrecvs = aij->nrecvs, count = nrecvs, i, n, ierr;
414   int         row,col,other_disassembled;
415   Scalar      *values,val;
416   InsertMode  addv = mat->insertmode;
417 
418   PetscFunctionBegin;
419 
420   /*  wait on receives */
421   while (count) {
422     ierr = MPI_Waitany(nrecvs,aij->recv_waits,&imdex,&recv_status);CHKERRQ(ierr);
423     /* unpack receives into our local space */
424     values = aij->rvalues + 3*imdex*aij->rmax;
425     ierr = MPI_Get_count(&recv_status,MPIU_SCALAR,&n);CHKERRQ(ierr);
426     n = n/3;
427     for ( i=0; i<n; i++ ) {
428       row = (int) PetscReal(values[3*i]) - aij->rstart;
429       col = (int) PetscReal(values[3*i+1]);
430       val = values[3*i+2];
431       if (col >= aij->cstart && col < aij->cend) {
432         col -= aij->cstart;
433         ierr = MatSetValues(aij->A,1,&row,1,&col,&val,addv); CHKERRQ(ierr);
434       } else {
435         if (mat->was_assembled || mat->assembled) {
436           if (!aij->colmap) {
437             ierr = CreateColmap_MPIAIJ_Private(mat); CHKERRQ(ierr);
438           }
439           col = aij->colmap[col] - 1;
440           if (col < 0  && !((Mat_SeqAIJ*)(aij->A->data))->nonew) {
441             ierr = DisAssemble_MPIAIJ(mat); CHKERRQ(ierr);
442             col = (int) PetscReal(values[3*i+1]);
443           }
444         }
445         ierr = MatSetValues(aij->B,1,&row,1,&col,&val,addv); CHKERRQ(ierr);
446       }
447     }
448     count--;
449   }
450   if (aij->recv_waits) PetscFree(aij->recv_waits);
451   if (aij->rvalues)    PetscFree(aij->rvalues);
452 
453   /* wait on sends */
454   if (aij->nsends) {
455     send_status = (MPI_Status *) PetscMalloc(aij->nsends*sizeof(MPI_Status));CHKPTRQ(send_status);
456     ierr        = MPI_Waitall(aij->nsends,aij->send_waits,send_status);CHKERRQ(ierr);
457     PetscFree(send_status);
458   }
459   if (aij->send_waits) PetscFree(aij->send_waits);
460   if (aij->svalues)    PetscFree(aij->svalues);
461 
462   ierr = MatAssemblyBegin(aij->A,mode); CHKERRQ(ierr);
463   ierr = MatAssemblyEnd(aij->A,mode); CHKERRQ(ierr);
464 
465   /* determine if any processor has disassembled, if so we must
466      also disassemble ourselfs, in order that we may reassemble. */
467   /*
468      if nonzero structure of submatrix B cannot change then we know that
469      no processor disassembled thus we can skip this stuff
470   */
471   if (!((Mat_SeqAIJ*) aij->B->data)->nonew)  {
472     ierr = MPI_Allreduce(&mat->was_assembled,&other_disassembled,1,MPI_INT,MPI_PROD,mat->comm);CHKERRQ(ierr);
473     if (mat->was_assembled && !other_disassembled) {
474       ierr = DisAssemble_MPIAIJ(mat); CHKERRQ(ierr);
475     }
476   }
477 
478   if (!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) {
479     ierr = MatSetUpMultiply_MPIAIJ(mat); CHKERRQ(ierr);
480   }
481   ierr = MatAssemblyBegin(aij->B,mode); CHKERRQ(ierr);
482   ierr = MatAssemblyEnd(aij->B,mode); CHKERRQ(ierr);
483 
484   if (aij->rowvalues) {PetscFree(aij->rowvalues); aij->rowvalues = 0;}
485   PetscFunctionReturn(0);
486 }
487 
488 #undef __FUNC__
489 #define __FUNC__ "MatZeroEntries_MPIAIJ"
490 int MatZeroEntries_MPIAIJ(Mat A)
491 {
492   Mat_MPIAIJ *l = (Mat_MPIAIJ *) A->data;
493   int        ierr;
494 
495   PetscFunctionBegin;
496   ierr = MatZeroEntries(l->A); CHKERRQ(ierr);
497   ierr = MatZeroEntries(l->B); CHKERRQ(ierr);
498   PetscFunctionReturn(0);
499 }
500 
501 #undef __FUNC__
502 #define __FUNC__ "MatZeroRows_MPIAIJ"
503 int MatZeroRows_MPIAIJ(Mat A,IS is,Scalar *diag)
504 {
505   Mat_MPIAIJ     *l = (Mat_MPIAIJ *) A->data;
506   int            i,ierr,N, *rows,*owners = l->rowners,size = l->size;
507   int            *procs,*nprocs,j,found,idx,nsends,*work,row;
508   int            nmax,*svalues,*starts,*owner,nrecvs,rank = l->rank;
509   int            *rvalues,tag = A->tag,count,base,slen,n,*source;
510   int            *lens,imdex,*lrows,*values,rstart=l->rstart;
511   MPI_Comm       comm = A->comm;
512   MPI_Request    *send_waits,*recv_waits;
513   MPI_Status     recv_status,*send_status;
514   IS             istmp;
515   PetscTruth     localdiag;
516 
517   PetscFunctionBegin;
518   ierr = ISGetSize(is,&N); CHKERRQ(ierr);
519   ierr = ISGetIndices(is,&rows); CHKERRQ(ierr);
520 
521   /*  first count number of contributors to each processor */
522   nprocs = (int *) PetscMalloc( 2*size*sizeof(int) ); CHKPTRQ(nprocs);
523   PetscMemzero(nprocs,2*size*sizeof(int)); procs = nprocs + size;
524   owner = (int *) PetscMalloc((N+1)*sizeof(int)); CHKPTRQ(owner); /* see note*/
525   for ( i=0; i<N; i++ ) {
526     idx = rows[i];
527     found = 0;
528     for ( j=0; j<size; j++ ) {
529       if (idx >= owners[j] && idx < owners[j+1]) {
530         nprocs[j]++; procs[j] = 1; owner[i] = j; found = 1; break;
531       }
532     }
533     if (!found) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,0,"Index out of range");
534   }
535   nsends = 0;  for ( i=0; i<size; i++ ) { nsends += procs[i];}
536 
537   /* inform other processors of number of messages and max length*/
538   work = (int *) PetscMalloc( size*sizeof(int) ); CHKPTRQ(work);
539   ierr = MPI_Allreduce( procs, work,size,MPI_INT,MPI_SUM,comm);CHKERRQ(ierr);
540   nrecvs = work[rank];
541   ierr = MPI_Allreduce( nprocs, work,size,MPI_INT,MPI_MAX,comm);CHKERRQ(ierr);
542   nmax = work[rank];
543   PetscFree(work);
544 
545   /* post receives:   */
546   rvalues = (int *) PetscMalloc((nrecvs+1)*(nmax+1)*sizeof(int));CHKPTRQ(rvalues);
547   recv_waits = (MPI_Request *) PetscMalloc((nrecvs+1)*sizeof(MPI_Request));CHKPTRQ(recv_waits);
548   for ( i=0; i<nrecvs; i++ ) {
549     ierr = MPI_Irecv(rvalues+nmax*i,nmax,MPI_INT,MPI_ANY_SOURCE,tag,comm,recv_waits+i);CHKERRQ(ierr);
550   }
551 
552   /* do sends:
553       1) starts[i] gives the starting index in svalues for stuff going to
554          the ith processor
555   */
556   svalues = (int *) PetscMalloc( (N+1)*sizeof(int) ); CHKPTRQ(svalues);
557   send_waits = (MPI_Request *) PetscMalloc( (nsends+1)*sizeof(MPI_Request));CHKPTRQ(send_waits);
558   starts = (int *) PetscMalloc( (size+1)*sizeof(int) ); CHKPTRQ(starts);
559   starts[0] = 0;
560   for ( i=1; i<size; i++ ) { starts[i] = starts[i-1] + nprocs[i-1];}
561   for ( i=0; i<N; i++ ) {
562     svalues[starts[owner[i]]++] = rows[i];
563   }
564   ISRestoreIndices(is,&rows);
565 
566   starts[0] = 0;
567   for ( i=1; i<size+1; i++ ) { starts[i] = starts[i-1] + nprocs[i-1];}
568   count = 0;
569   for ( i=0; i<size; i++ ) {
570     if (procs[i]) {
571       ierr = MPI_Isend(svalues+starts[i],nprocs[i],MPI_INT,i,tag,comm,send_waits+count++);CHKERRQ(ierr);
572     }
573   }
574   PetscFree(starts);
575 
576   base = owners[rank];
577 
578   /*  wait on receives */
579   lens   = (int *) PetscMalloc( 2*(nrecvs+1)*sizeof(int) ); CHKPTRQ(lens);
580   source = lens + nrecvs;
581   count  = nrecvs; slen = 0;
582   while (count) {
583     ierr = MPI_Waitany(nrecvs,recv_waits,&imdex,&recv_status);CHKERRQ(ierr);
584     /* unpack receives into our local space */
585     ierr = MPI_Get_count(&recv_status,MPI_INT,&n);CHKERRQ(ierr);
586     source[imdex]  = recv_status.MPI_SOURCE;
587     lens[imdex]  = n;
588     slen += n;
589     count--;
590   }
591   PetscFree(recv_waits);
592 
593   /* move the data into the send scatter */
594   lrows = (int *) PetscMalloc( (slen+1)*sizeof(int) ); CHKPTRQ(lrows);
595   count = 0;
596   for ( i=0; i<nrecvs; i++ ) {
597     values = rvalues + i*nmax;
598     for ( j=0; j<lens[i]; j++ ) {
599       lrows[count++] = values[j] - base;
600     }
601   }
602   PetscFree(rvalues); PetscFree(lens);
603   PetscFree(owner); PetscFree(nprocs);
604 
605   /* actually zap the local rows */
606   ierr = ISCreateGeneral(PETSC_COMM_SELF,slen,lrows,&istmp);CHKERRQ(ierr);
607   PLogObjectParent(A,istmp);
608 
609   /*
610         Zero the required rows. If the "diagonal block" of the matrix
611      is square and the user wishes to set the diagonal we use seperate
612      code so that MatSetValues() is not called for each diagonal allocating
613      new memory, thus calling lots of mallocs and slowing things down.
614 
615        Contributed by: Mathew Knepley
616   */
617   localdiag = PETSC_FALSE;
618   if (diag && (l->A->M == l->A->N)) {
619     localdiag = PETSC_TRUE;
620     ierr      = MatZeroRows(l->A,istmp,diag); CHKERRQ(ierr);
621   } else {
622     ierr = MatZeroRows(l->A,istmp,0); CHKERRQ(ierr);
623   }
624   ierr = MatZeroRows(l->B,istmp,0); CHKERRQ(ierr);
625   ierr = ISDestroy(istmp); CHKERRQ(ierr);
626 
627   if (diag && (localdiag == PETSC_FALSE)) {
628     for ( i = 0; i < slen; i++ ) {
629       row = lrows[i] + rstart;
630       MatSetValues(A,1,&row,1,&row,diag,INSERT_VALUES);
631     }
632     MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
633     MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
634   }
635 
636   if (diag) {
637     for ( i = 0; i < slen; i++ ) {
638       row = lrows[i] + rstart;
639       MatSetValues(A,1,&row,1,&row,diag,INSERT_VALUES);
640     }
641     MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
642     MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
643   }
644   PetscFree(lrows);
645 
646   /* wait on sends */
647   if (nsends) {
648     send_status = (MPI_Status *) PetscMalloc(nsends*sizeof(MPI_Status));CHKPTRQ(send_status);
649     ierr        = MPI_Waitall(nsends,send_waits,send_status);CHKERRQ(ierr);
650     PetscFree(send_status);
651   }
652   PetscFree(send_waits); PetscFree(svalues);
653 
654   PetscFunctionReturn(0);
655 }
656 
657 #undef __FUNC__
658 #define __FUNC__ "MatMult_MPIAIJ"
659 int MatMult_MPIAIJ(Mat A,Vec xx,Vec yy)
660 {
661   Mat_MPIAIJ *a = (Mat_MPIAIJ *) A->data;
662   int        ierr,nt;
663 
664   PetscFunctionBegin;
665   ierr = VecGetLocalSize(xx,&nt);  CHKERRQ(ierr);
666   if (nt != a->n) {
667     SETERRQ(PETSC_ERR_ARG_SIZ,0,"Incompatible partition of A and xx");
668   }
669   ierr = VecScatterBegin(xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD,a->Mvctx); CHKERRQ(ierr);
670   ierr = (*a->A->ops->mult)(a->A,xx,yy); CHKERRQ(ierr);
671   ierr = VecScatterEnd(xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD,a->Mvctx); CHKERRQ(ierr);
672   ierr = (*a->B->ops->multadd)(a->B,a->lvec,yy,yy); CHKERRQ(ierr);
673   PetscFunctionReturn(0);
674 }
675 
676 #undef __FUNC__
677 #define __FUNC__ "MatMultAdd_MPIAIJ"
678 int MatMultAdd_MPIAIJ(Mat A,Vec xx,Vec yy,Vec zz)
679 {
680   Mat_MPIAIJ *a = (Mat_MPIAIJ *) A->data;
681   int        ierr;
682 
683   PetscFunctionBegin;
684   ierr = VecScatterBegin(xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD,a->Mvctx);CHKERRQ(ierr);
685   ierr = (*a->A->ops->multadd)(a->A,xx,yy,zz); CHKERRQ(ierr);
686   ierr = VecScatterEnd(xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD,a->Mvctx);CHKERRQ(ierr);
687   ierr = (*a->B->ops->multadd)(a->B,a->lvec,zz,zz); CHKERRQ(ierr);
688   PetscFunctionReturn(0);
689 }
690 
691 #undef __FUNC__
692 #define __FUNC__ "MatMultTrans_MPIAIJ"
693 int MatMultTrans_MPIAIJ(Mat A,Vec xx,Vec yy)
694 {
695   Mat_MPIAIJ *a = (Mat_MPIAIJ *) A->data;
696   int        ierr;
697 
698   PetscFunctionBegin;
699   /* do nondiagonal part */
700   ierr = (*a->B->ops->multtrans)(a->B,xx,a->lvec); CHKERRQ(ierr);
701   /* send it on its way */
702   ierr = VecScatterBegin(a->lvec,yy,ADD_VALUES,SCATTER_REVERSE,a->Mvctx); CHKERRQ(ierr);
703   /* do local part */
704   ierr = (*a->A->ops->multtrans)(a->A,xx,yy); CHKERRQ(ierr);
705   /* receive remote parts: note this assumes the values are not actually */
706   /* inserted in yy until the next line, which is true for my implementation*/
707   /* but is not perhaps always true. */
708   ierr = VecScatterEnd(a->lvec,yy,ADD_VALUES,SCATTER_REVERSE,a->Mvctx); CHKERRQ(ierr);
709   PetscFunctionReturn(0);
710 }
711 
712 #undef __FUNC__
713 #define __FUNC__ "MatMultTransAdd_MPIAIJ"
714 int MatMultTransAdd_MPIAIJ(Mat A,Vec xx,Vec yy,Vec zz)
715 {
716   Mat_MPIAIJ *a = (Mat_MPIAIJ *) A->data;
717   int        ierr;
718 
719   PetscFunctionBegin;
720   /* do nondiagonal part */
721   ierr = (*a->B->ops->multtrans)(a->B,xx,a->lvec); CHKERRQ(ierr);
722   /* send it on its way */
723   ierr = VecScatterBegin(a->lvec,zz,ADD_VALUES,SCATTER_REVERSE,a->Mvctx); CHKERRQ(ierr);
724   /* do local part */
725   ierr = (*a->A->ops->multtransadd)(a->A,xx,yy,zz); CHKERRQ(ierr);
726   /* receive remote parts: note this assumes the values are not actually */
727   /* inserted in yy until the next line, which is true for my implementation*/
728   /* but is not perhaps always true. */
729   ierr = VecScatterEnd(a->lvec,zz,ADD_VALUES,SCATTER_REVERSE,a->Mvctx); CHKERRQ(ierr);
730   PetscFunctionReturn(0);
731 }
732 
733 /*
734   This only works correctly for square matrices where the subblock A->A is the
735    diagonal block
736 */
737 #undef __FUNC__
738 #define __FUNC__ "MatGetDiagonal_MPIAIJ"
739 int MatGetDiagonal_MPIAIJ(Mat A,Vec v)
740 {
741   int        ierr;
742   Mat_MPIAIJ *a = (Mat_MPIAIJ *) A->data;
743 
744   PetscFunctionBegin;
745   if (a->M != a->N) SETERRQ(PETSC_ERR_SUP,0,"Supports only square matrix where A->A is diag block");
746   if (a->rstart != a->cstart || a->rend != a->cend) {
747     SETERRQ(PETSC_ERR_ARG_SIZ,0,"row partition must equal col partition");
748   }
749   ierr = MatGetDiagonal(a->A,v);CHKERRQ(ierr);
750   PetscFunctionReturn(0);
751 }
752 
753 #undef __FUNC__
754 #define __FUNC__ "MatScale_MPIAIJ"
755 int MatScale_MPIAIJ(Scalar *aa,Mat A)
756 {
757   Mat_MPIAIJ *a = (Mat_MPIAIJ *) A->data;
758   int        ierr;
759 
760   PetscFunctionBegin;
761   ierr = MatScale(aa,a->A); CHKERRQ(ierr);
762   ierr = MatScale(aa,a->B); CHKERRQ(ierr);
763   PetscFunctionReturn(0);
764 }
765 
766 #undef __FUNC__
767 #define __FUNC__ "MatDestroy_MPIAIJ"
768 int MatDestroy_MPIAIJ(Mat mat)
769 {
770   Mat_MPIAIJ *aij = (Mat_MPIAIJ *) mat->data;
771   int        ierr;
772 
773   PetscFunctionBegin;
774   if (--mat->refct > 0) PetscFunctionReturn(0);
775 
776   if (mat->mapping) {
777     ierr = ISLocalToGlobalMappingDestroy(mat->mapping); CHKERRQ(ierr);
778   }
779   if (mat->bmapping) {
780     ierr = ISLocalToGlobalMappingDestroy(mat->bmapping); CHKERRQ(ierr);
781   }
782 #if defined(USE_PETSC_LOG)
783   PLogObjectState((PetscObject)mat,"Rows=%d, Cols=%d",aij->M,aij->N);
784 #endif
785   ierr = StashDestroy_Private(&aij->stash); CHKERRQ(ierr);
786   PetscFree(aij->rowners);
787   ierr = MatDestroy(aij->A); CHKERRQ(ierr);
788   ierr = MatDestroy(aij->B); CHKERRQ(ierr);
789   if (aij->colmap) PetscFree(aij->colmap);
790   if (aij->garray) PetscFree(aij->garray);
791   if (aij->lvec)   VecDestroy(aij->lvec);
792   if (aij->Mvctx)  VecScatterDestroy(aij->Mvctx);
793   if (aij->rowvalues) PetscFree(aij->rowvalues);
794   PetscFree(aij);
795   PLogObjectDestroy(mat);
796   PetscHeaderDestroy(mat);
797   PetscFunctionReturn(0);
798 }
799 
800 #undef __FUNC__
801 #define __FUNC__ "MatView_MPIAIJ_Binary"
802 extern int MatView_MPIAIJ_Binary(Mat mat,Viewer viewer)
803 {
804   Mat_MPIAIJ  *aij = (Mat_MPIAIJ *) mat->data;
805   int         ierr;
806 
807   PetscFunctionBegin;
808   if (aij->size == 1) {
809     ierr = MatView(aij->A,viewer); CHKERRQ(ierr);
810   }
811   else SETERRQ(PETSC_ERR_SUP,0,"Only uniprocessor output supported");
812   PetscFunctionReturn(0);
813 }
814 
815 #undef __FUNC__
816 #define __FUNC__ "MatView_MPIAIJ_ASCIIorDraworMatlab"
817 extern int MatView_MPIAIJ_ASCIIorDraworMatlab(Mat mat,Viewer viewer)
818 {
819   Mat_MPIAIJ  *aij = (Mat_MPIAIJ *) mat->data;
820   Mat_SeqAIJ* C = (Mat_SeqAIJ*)aij->A->data;
821   int         ierr, format,shift = C->indexshift,rank;
822   FILE        *fd;
823   ViewerType  vtype;
824 
825   PetscFunctionBegin;
826   ierr = ViewerGetType(viewer,&vtype); CHKERRQ(ierr);
827   if (vtype  == ASCII_FILES_VIEWER || vtype == ASCII_FILE_VIEWER) {
828     ierr = ViewerGetFormat(viewer,&format);
829     if (format == VIEWER_FORMAT_ASCII_INFO_LONG) {
830       MatInfo info;
831       int     flg;
832       MPI_Comm_rank(mat->comm,&rank);
833       ierr = ViewerASCIIGetPointer(viewer,&fd); CHKERRQ(ierr);
834       ierr = MatGetInfo(mat,MAT_LOCAL,&info);
835       ierr = OptionsHasName(PETSC_NULL,"-mat_aij_no_inode",&flg); CHKERRQ(ierr);
836       PetscSequentialPhaseBegin(mat->comm,1);
837       if (flg) fprintf(fd,"[%d] Local rows %d nz %d nz alloced %d mem %d, not using I-node routines\n",
838          rank,aij->m,(int)info.nz_used,(int)info.nz_allocated,(int)info.memory);
839       else fprintf(fd,"[%d] Local rows %d nz %d nz alloced %d mem %d, using I-node routines\n",
840          rank,aij->m,(int)info.nz_used,(int)info.nz_allocated,(int)info.memory);
841       ierr = MatGetInfo(aij->A,MAT_LOCAL,&info);
842       fprintf(fd,"[%d] on-diagonal part: nz %d \n",rank,(int)info.nz_used);
843       ierr = MatGetInfo(aij->B,MAT_LOCAL,&info);
844       fprintf(fd,"[%d] off-diagonal part: nz %d \n",rank,(int)info.nz_used);
845       fflush(fd);
846       PetscSequentialPhaseEnd(mat->comm,1);
847       ierr = VecScatterView(aij->Mvctx,viewer); CHKERRQ(ierr);
848       PetscFunctionReturn(0);
849     } else if (format == VIEWER_FORMAT_ASCII_INFO) {
850       PetscFunctionReturn(0);
851     }
852   }
853 
854   if (vtype == DRAW_VIEWER) {
855     Draw       draw;
856     PetscTruth isnull;
857     ierr = ViewerDrawGetDraw(viewer,&draw); CHKERRQ(ierr);
858     ierr = DrawIsNull(draw,&isnull); CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
859   }
860 
861   if (vtype == ASCII_FILE_VIEWER) {
862     ierr = ViewerASCIIGetPointer(viewer,&fd); CHKERRQ(ierr);
863     PetscSequentialPhaseBegin(mat->comm,1);
864     fprintf(fd,"[%d] rows %d starts %d ends %d cols %d starts %d ends %d\n",
865            aij->rank,aij->m,aij->rstart,aij->rend,aij->n,aij->cstart,
866            aij->cend);
867     ierr = MatView(aij->A,viewer); CHKERRQ(ierr);
868     ierr = MatView(aij->B,viewer); CHKERRQ(ierr);
869     fflush(fd);
870     PetscSequentialPhaseEnd(mat->comm,1);
871   } else {
872     int size = aij->size;
873     rank = aij->rank;
874     if (size == 1) {
875       ierr = MatView(aij->A,viewer); CHKERRQ(ierr);
876     } else {
877       /* assemble the entire matrix onto first processor. */
878       Mat         A;
879       Mat_SeqAIJ *Aloc;
880       int         M = aij->M, N = aij->N,m,*ai,*aj,row,*cols,i,*ct;
881       Scalar      *a;
882 
883       if (!rank) {
884         ierr = MatCreateMPIAIJ(mat->comm,M,N,M,N,0,PETSC_NULL,0,PETSC_NULL,&A);CHKERRQ(ierr);
885       } else {
886         ierr = MatCreateMPIAIJ(mat->comm,0,0,M,N,0,PETSC_NULL,0,PETSC_NULL,&A);CHKERRQ(ierr);
887       }
888       PLogObjectParent(mat,A);
889 
890       /* copy over the A part */
891       Aloc = (Mat_SeqAIJ*) aij->A->data;
892       m = Aloc->m; ai = Aloc->i; aj = Aloc->j; a = Aloc->a;
893       row = aij->rstart;
894       for ( i=0; i<ai[m]+shift; i++ ) {aj[i] += aij->cstart + shift;}
895       for ( i=0; i<m; i++ ) {
896         ierr = MatSetValues(A,1,&row,ai[i+1]-ai[i],aj,a,INSERT_VALUES);CHKERRQ(ierr);
897         row++; a += ai[i+1]-ai[i]; aj += ai[i+1]-ai[i];
898       }
899       aj = Aloc->j;
900       for ( i=0; i<ai[m]+shift; i++ ) {aj[i] -= aij->cstart + shift;}
901 
902       /* copy over the B part */
903       Aloc = (Mat_SeqAIJ*) aij->B->data;
904       m = Aloc->m;  ai = Aloc->i; aj = Aloc->j; a = Aloc->a;
905       row = aij->rstart;
906       ct = cols = (int *) PetscMalloc( (ai[m]+1)*sizeof(int) ); CHKPTRQ(cols);
907       for ( i=0; i<ai[m]+shift; i++ ) {cols[i] = aij->garray[aj[i]+shift];}
908       for ( i=0; i<m; i++ ) {
909         ierr = MatSetValues(A,1,&row,ai[i+1]-ai[i],cols,a,INSERT_VALUES);CHKERRQ(ierr);
910         row++; a += ai[i+1]-ai[i]; cols += ai[i+1]-ai[i];
911       }
912       PetscFree(ct);
913       ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY); CHKERRQ(ierr);
914       ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY); CHKERRQ(ierr);
915       /*
916          Everyone has to call to draw the matrix since the graphics waits are
917          synchronized across all processors that share the Draw object
918       */
919       if (!rank || vtype == DRAW_VIEWER) {
920         ierr = MatView(((Mat_MPIAIJ*)(A->data))->A,viewer); CHKERRQ(ierr);
921       }
922       ierr = MatDestroy(A); CHKERRQ(ierr);
923     }
924   }
925   PetscFunctionReturn(0);
926 }
927 
928 #undef __FUNC__
929 #define __FUNC__ "MatView_MPIAIJ"
930 int MatView_MPIAIJ(Mat mat,Viewer viewer)
931 {
932   int         ierr;
933   ViewerType  vtype;
934 
935   PetscFunctionBegin;
936   ierr = ViewerGetType(viewer,&vtype); CHKERRQ(ierr);
937   if (vtype == ASCII_FILE_VIEWER || vtype == ASCII_FILES_VIEWER ||
938       vtype == DRAW_VIEWER       || vtype == MATLAB_VIEWER) {
939     ierr = MatView_MPIAIJ_ASCIIorDraworMatlab(mat,viewer); CHKERRQ(ierr);
940   } else if (vtype == BINARY_FILE_VIEWER) {
941     ierr = MatView_MPIAIJ_Binary(mat,viewer);CHKERRQ(ierr);
942   } else {
943     SETERRQ(1,1,"Viewer type not supported by PETSc object");
944   }
945   PetscFunctionReturn(0);
946 }
947 
948 /*
949     This has to provide several versions.
950 
951      2) a) use only local smoothing updating outer values only once.
952         b) local smoothing updating outer values each inner iteration
953      3) color updating out values betwen colors.
954 */
955 #undef __FUNC__
956 #define __FUNC__ "MatRelax_MPIAIJ"
957 int MatRelax_MPIAIJ(Mat matin,Vec bb,double omega,MatSORType flag,
958                            double fshift,int its,Vec xx)
959 {
960   Mat_MPIAIJ *mat = (Mat_MPIAIJ *) matin->data;
961   Mat        AA = mat->A, BB = mat->B;
962   Mat_SeqAIJ *A = (Mat_SeqAIJ *) AA->data, *B = (Mat_SeqAIJ *)BB->data;
963   Scalar     *b,*x,*xs,*ls,d,*v,sum;
964   int        ierr,*idx, *diag;
965   int        n = mat->n, m = mat->m, i,shift = A->indexshift;
966 
967   PetscFunctionBegin;
968   VecGetArray(xx,&x); VecGetArray(bb,&b); VecGetArray(mat->lvec,&ls);
969   xs = x + shift; /* shift by one for index start of 1 */
970   ls = ls + shift;
971   if (!A->diag) {ierr = MatMarkDiag_SeqAIJ(AA); CHKERRQ(ierr);}
972   diag = A->diag;
973   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP){
974     if (flag & SOR_ZERO_INITIAL_GUESS) {
975       ierr = (*mat->A->ops->relax)(mat->A,bb,omega,flag,fshift,its,xx);CHKERRQ(ierr);
976       PetscFunctionReturn(0);
977     }
978     ierr=VecScatterBegin(xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD,mat->Mvctx);CHKERRQ(ierr);
979     ierr = VecScatterEnd(xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD,mat->Mvctx);CHKERRQ(ierr);
980     while (its--) {
981       /* go down through the rows */
982       for ( i=0; i<m; i++ ) {
983         n    = A->i[i+1] - A->i[i];
984         idx  = A->j + A->i[i] + shift;
985         v    = A->a + A->i[i] + shift;
986         sum  = b[i];
987         SPARSEDENSEMDOT(sum,xs,v,idx,n);
988         d    = fshift + A->a[diag[i]+shift];
989         n    = B->i[i+1] - B->i[i];
990         idx  = B->j + B->i[i] + shift;
991         v    = B->a + B->i[i] + shift;
992         SPARSEDENSEMDOT(sum,ls,v,idx,n);
993         x[i] = (1. - omega)*x[i] + omega*(sum + A->a[diag[i]+shift]*x[i])/d;
994       }
995       /* come up through the rows */
996       for ( i=m-1; i>-1; i-- ) {
997         n    = A->i[i+1] - A->i[i];
998         idx  = A->j + A->i[i] + shift;
999         v    = A->a + A->i[i] + shift;
1000         sum  = b[i];
1001         SPARSEDENSEMDOT(sum,xs,v,idx,n);
1002         d    = fshift + A->a[diag[i]+shift];
1003         n    = B->i[i+1] - B->i[i];
1004         idx  = B->j + B->i[i] + shift;
1005         v    = B->a + B->i[i] + shift;
1006         SPARSEDENSEMDOT(sum,ls,v,idx,n);
1007         x[i] = (1. - omega)*x[i] + omega*(sum + A->a[diag[i]+shift]*x[i])/d;
1008       }
1009     }
1010   } else if (flag & SOR_LOCAL_FORWARD_SWEEP){
1011     if (flag & SOR_ZERO_INITIAL_GUESS) {
1012       ierr = (*mat->A->ops->relax)(mat->A,bb,omega,flag,fshift,its,xx);CHKERRQ(ierr);
1013       PetscFunctionReturn(0);
1014     }
1015     ierr=VecScatterBegin(xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD,mat->Mvctx);CHKERRQ(ierr);
1016     ierr = VecScatterEnd(xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD,mat->Mvctx);CHKERRQ(ierr);
1017     while (its--) {
1018       for ( i=0; i<m; i++ ) {
1019         n    = A->i[i+1] - A->i[i];
1020         idx  = A->j + A->i[i] + shift;
1021         v    = A->a + A->i[i] + shift;
1022         sum  = b[i];
1023         SPARSEDENSEMDOT(sum,xs,v,idx,n);
1024         d    = fshift + A->a[diag[i]+shift];
1025         n    = B->i[i+1] - B->i[i];
1026         idx  = B->j + B->i[i] + shift;
1027         v    = B->a + B->i[i] + shift;
1028         SPARSEDENSEMDOT(sum,ls,v,idx,n);
1029         x[i] = (1. - omega)*x[i] + omega*(sum + A->a[diag[i]+shift]*x[i])/d;
1030       }
1031     }
1032   } else if (flag & SOR_LOCAL_BACKWARD_SWEEP){
1033     if (flag & SOR_ZERO_INITIAL_GUESS) {
1034       ierr = (*mat->A->ops->relax)(mat->A,bb,omega,flag,fshift,its,xx);CHKERRQ(ierr);
1035       PetscFunctionReturn(0);
1036     }
1037     ierr = VecScatterBegin(xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD,
1038                             mat->Mvctx); CHKERRQ(ierr);
1039     ierr = VecScatterEnd(xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD,
1040                             mat->Mvctx); CHKERRQ(ierr);
1041     while (its--) {
1042       for ( i=m-1; i>-1; i-- ) {
1043         n    = A->i[i+1] - A->i[i];
1044         idx  = A->j + A->i[i] + shift;
1045         v    = A->a + A->i[i] + shift;
1046         sum  = b[i];
1047         SPARSEDENSEMDOT(sum,xs,v,idx,n);
1048         d    = fshift + A->a[diag[i]+shift];
1049         n    = B->i[i+1] - B->i[i];
1050         idx  = B->j + B->i[i] + shift;
1051         v    = B->a + B->i[i] + shift;
1052         SPARSEDENSEMDOT(sum,ls,v,idx,n);
1053         x[i] = (1. - omega)*x[i] + omega*(sum + A->a[diag[i]+shift]*x[i])/d;
1054       }
1055     }
1056   } else {
1057     SETERRQ(PETSC_ERR_SUP,0,"Parallel SOR not supported");
1058   }
1059   PetscFunctionReturn(0);
1060 }
1061 
1062 #undef __FUNC__
1063 #define __FUNC__ "MatGetInfo_MPIAIJ"
1064 int MatGetInfo_MPIAIJ(Mat matin,MatInfoType flag,MatInfo *info)
1065 {
1066   Mat_MPIAIJ *mat = (Mat_MPIAIJ *) matin->data;
1067   Mat        A = mat->A, B = mat->B;
1068   int        ierr;
1069   double     isend[5], irecv[5];
1070 
1071   PetscFunctionBegin;
1072   info->block_size     = 1.0;
1073   ierr = MatGetInfo(A,MAT_LOCAL,info); CHKERRQ(ierr);
1074   isend[0] = info->nz_used; isend[1] = info->nz_allocated; isend[2] = info->nz_unneeded;
1075   isend[3] = info->memory;  isend[4] = info->mallocs;
1076   ierr = MatGetInfo(B,MAT_LOCAL,info); CHKERRQ(ierr);
1077   isend[0] += info->nz_used; isend[1] += info->nz_allocated; isend[2] += info->nz_unneeded;
1078   isend[3] += info->memory;  isend[4] += info->mallocs;
1079   if (flag == MAT_LOCAL) {
1080     info->nz_used      = isend[0];
1081     info->nz_allocated = isend[1];
1082     info->nz_unneeded  = isend[2];
1083     info->memory       = isend[3];
1084     info->mallocs      = isend[4];
1085   } else if (flag == MAT_GLOBAL_MAX) {
1086     ierr = MPI_Allreduce(isend,irecv,5,MPI_DOUBLE,MPI_MAX,matin->comm);CHKERRQ(ierr);
1087     info->nz_used      = irecv[0];
1088     info->nz_allocated = irecv[1];
1089     info->nz_unneeded  = irecv[2];
1090     info->memory       = irecv[3];
1091     info->mallocs      = irecv[4];
1092   } else if (flag == MAT_GLOBAL_SUM) {
1093     ierr = MPI_Allreduce(isend,irecv,5,MPI_DOUBLE,MPI_SUM,matin->comm);CHKERRQ(ierr);
1094     info->nz_used      = irecv[0];
1095     info->nz_allocated = irecv[1];
1096     info->nz_unneeded  = irecv[2];
1097     info->memory       = irecv[3];
1098     info->mallocs      = irecv[4];
1099   }
1100   info->fill_ratio_given  = 0; /* no parallel LU/ILU/Cholesky */
1101   info->fill_ratio_needed = 0;
1102   info->factor_mallocs    = 0;
1103   info->rows_global       = (double)mat->M;
1104   info->columns_global    = (double)mat->N;
1105   info->rows_local        = (double)mat->m;
1106   info->columns_local     = (double)mat->N;
1107 
1108   PetscFunctionReturn(0);
1109 }
1110 
1111 #undef __FUNC__
1112 #define __FUNC__ "MatSetOption_MPIAIJ"
1113 int MatSetOption_MPIAIJ(Mat A,MatOption op)
1114 {
1115   Mat_MPIAIJ *a = (Mat_MPIAIJ *) A->data;
1116 
1117   PetscFunctionBegin;
1118   if (op == MAT_NO_NEW_NONZERO_LOCATIONS ||
1119       op == MAT_YES_NEW_NONZERO_LOCATIONS ||
1120       op == MAT_COLUMNS_UNSORTED ||
1121       op == MAT_COLUMNS_SORTED ||
1122       op == MAT_NEW_NONZERO_ALLOCATION_ERROR ||
1123       op == MAT_NEW_NONZERO_LOCATION_ERROR) {
1124         MatSetOption(a->A,op);
1125         MatSetOption(a->B,op);
1126   } else if (op == MAT_ROW_ORIENTED) {
1127     a->roworiented = 1;
1128     MatSetOption(a->A,op);
1129     MatSetOption(a->B,op);
1130   } else if (op == MAT_ROWS_SORTED ||
1131              op == MAT_ROWS_UNSORTED ||
1132              op == MAT_SYMMETRIC ||
1133              op == MAT_STRUCTURALLY_SYMMETRIC ||
1134              op == MAT_YES_NEW_DIAGONALS)
1135     PLogInfo(A,"MatSetOption_MPIAIJ:Option ignored\n");
1136   else if (op == MAT_COLUMN_ORIENTED) {
1137     a->roworiented = 0;
1138     MatSetOption(a->A,op);
1139     MatSetOption(a->B,op);
1140   } else if (op == MAT_IGNORE_OFF_PROC_ENTRIES) {
1141     a->donotstash = 1;
1142   } else if (op == MAT_NO_NEW_DIAGONALS){
1143     SETERRQ(PETSC_ERR_SUP,0,"MAT_NO_NEW_DIAGONALS");
1144   } else {
1145     SETERRQ(PETSC_ERR_SUP,0,"unknown option");
1146   }
1147   PetscFunctionReturn(0);
1148 }
1149 
1150 #undef __FUNC__
1151 #define __FUNC__ "MatGetSize_MPIAIJ"
1152 int MatGetSize_MPIAIJ(Mat matin,int *m,int *n)
1153 {
1154   Mat_MPIAIJ *mat = (Mat_MPIAIJ *) matin->data;
1155 
1156   PetscFunctionBegin;
1157   if (m) *m = mat->M;
1158   if (n) *n = mat->N;
1159   PetscFunctionReturn(0);
1160 }
1161 
1162 #undef __FUNC__
1163 #define __FUNC__ "MatGetLocalSize_MPIAIJ"
1164 int MatGetLocalSize_MPIAIJ(Mat matin,int *m,int *n)
1165 {
1166   Mat_MPIAIJ *mat = (Mat_MPIAIJ *) matin->data;
1167 
1168   PetscFunctionBegin;
1169   if (m) *m = mat->m;
1170   if (n) *n = mat->n;
1171   PetscFunctionReturn(0);
1172 }
1173 
1174 #undef __FUNC__
1175 #define __FUNC__ "MatGetOwnershipRange_MPIAIJ"
1176 int MatGetOwnershipRange_MPIAIJ(Mat matin,int *m,int *n)
1177 {
1178   Mat_MPIAIJ *mat = (Mat_MPIAIJ *) matin->data;
1179 
1180   PetscFunctionBegin;
1181   *m = mat->rstart; *n = mat->rend;
1182   PetscFunctionReturn(0);
1183 }
1184 
1185 extern int MatGetRow_SeqAIJ(Mat,int,int*,int**,Scalar**);
1186 extern int MatRestoreRow_SeqAIJ(Mat,int,int*,int**,Scalar**);
1187 
1188 #undef __FUNC__
1189 #define __FUNC__ "MatGetRow_MPIAIJ"
1190 int MatGetRow_MPIAIJ(Mat matin,int row,int *nz,int **idx,Scalar **v)
1191 {
1192   Mat_MPIAIJ *mat = (Mat_MPIAIJ *) matin->data;
1193   Scalar     *vworkA, *vworkB, **pvA, **pvB,*v_p;
1194   int        i, ierr, *cworkA, *cworkB, **pcA, **pcB, cstart = mat->cstart;
1195   int        nztot, nzA, nzB, lrow, rstart = mat->rstart, rend = mat->rend;
1196   int        *cmap, *idx_p;
1197 
1198   PetscFunctionBegin;
1199   if (mat->getrowactive == PETSC_TRUE) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,0,"Already active");
1200   mat->getrowactive = PETSC_TRUE;
1201 
1202   if (!mat->rowvalues && (idx || v)) {
1203     /*
1204         allocate enough space to hold information from the longest row.
1205     */
1206     Mat_SeqAIJ *Aa = (Mat_SeqAIJ *) mat->A->data,*Ba = (Mat_SeqAIJ *) mat->B->data;
1207     int     max = 1,m = mat->m,tmp;
1208     for ( i=0; i<m; i++ ) {
1209       tmp = Aa->i[i+1] - Aa->i[i] + Ba->i[i+1] - Ba->i[i];
1210       if (max < tmp) { max = tmp; }
1211     }
1212     mat->rowvalues = (Scalar *) PetscMalloc( max*(sizeof(int)+sizeof(Scalar)));
1213     CHKPTRQ(mat->rowvalues);
1214     mat->rowindices = (int *) (mat->rowvalues + max);
1215   }
1216 
1217   if (row < rstart || row >= rend) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,0,"Only local rows")
1218   lrow = row - rstart;
1219 
1220   pvA = &vworkA; pcA = &cworkA; pvB = &vworkB; pcB = &cworkB;
1221   if (!v)   {pvA = 0; pvB = 0;}
1222   if (!idx) {pcA = 0; if (!v) pcB = 0;}
1223   ierr = (*mat->A->ops->getrow)(mat->A,lrow,&nzA,pcA,pvA); CHKERRQ(ierr);
1224   ierr = (*mat->B->ops->getrow)(mat->B,lrow,&nzB,pcB,pvB); CHKERRQ(ierr);
1225   nztot = nzA + nzB;
1226 
1227   cmap  = mat->garray;
1228   if (v  || idx) {
1229     if (nztot) {
1230       /* Sort by increasing column numbers, assuming A and B already sorted */
1231       int imark = -1;
1232       if (v) {
1233         *v = v_p = mat->rowvalues;
1234         for ( i=0; i<nzB; i++ ) {
1235           if (cmap[cworkB[i]] < cstart)   v_p[i] = vworkB[i];
1236           else break;
1237         }
1238         imark = i;
1239         for ( i=0; i<nzA; i++ )     v_p[imark+i] = vworkA[i];
1240         for ( i=imark; i<nzB; i++ ) v_p[nzA+i]   = vworkB[i];
1241       }
1242       if (idx) {
1243         *idx = idx_p = mat->rowindices;
1244         if (imark > -1) {
1245           for ( i=0; i<imark; i++ ) {
1246             idx_p[i] = cmap[cworkB[i]];
1247           }
1248         } else {
1249           for ( i=0; i<nzB; i++ ) {
1250             if (cmap[cworkB[i]] < cstart)   idx_p[i] = cmap[cworkB[i]];
1251             else break;
1252           }
1253           imark = i;
1254         }
1255         for ( i=0; i<nzA; i++ )     idx_p[imark+i] = cstart + cworkA[i];
1256         for ( i=imark; i<nzB; i++ ) idx_p[nzA+i]   = cmap[cworkB[i]];
1257       }
1258     }
1259     else {
1260       if (idx) *idx = 0;
1261       if (v)   *v   = 0;
1262     }
1263   }
1264   *nz = nztot;
1265   ierr = (*mat->A->ops->restorerow)(mat->A,lrow,&nzA,pcA,pvA); CHKERRQ(ierr);
1266   ierr = (*mat->B->ops->restorerow)(mat->B,lrow,&nzB,pcB,pvB); CHKERRQ(ierr);
1267   PetscFunctionReturn(0);
1268 }
1269 
1270 #undef __FUNC__
1271 #define __FUNC__ "MatRestoreRow_MPIAIJ"
1272 int MatRestoreRow_MPIAIJ(Mat mat,int row,int *nz,int **idx,Scalar **v)
1273 {
1274   Mat_MPIAIJ *aij = (Mat_MPIAIJ *) mat->data;
1275 
1276   PetscFunctionBegin;
1277   if (aij->getrowactive == PETSC_FALSE) {
1278     SETERRQ(PETSC_ERR_ARG_WRONGSTATE,0,"MatGetRow not called");
1279   }
1280   aij->getrowactive = PETSC_FALSE;
1281   PetscFunctionReturn(0);
1282 }
1283 
1284 #undef __FUNC__
1285 #define __FUNC__ "MatNorm_MPIAIJ"
1286 int MatNorm_MPIAIJ(Mat mat,NormType type,double *norm)
1287 {
1288   Mat_MPIAIJ *aij = (Mat_MPIAIJ *) mat->data;
1289   Mat_SeqAIJ *amat = (Mat_SeqAIJ*) aij->A->data, *bmat = (Mat_SeqAIJ*) aij->B->data;
1290   int        ierr, i, j, cstart = aij->cstart,shift = amat->indexshift;
1291   double     sum = 0.0;
1292   Scalar     *v;
1293 
1294   PetscFunctionBegin;
1295   if (aij->size == 1) {
1296     ierr =  MatNorm(aij->A,type,norm); CHKERRQ(ierr);
1297   } else {
1298     if (type == NORM_FROBENIUS) {
1299       v = amat->a;
1300       for (i=0; i<amat->nz; i++ ) {
1301 #if defined(USE_PETSC_COMPLEX)
1302         sum += PetscReal(PetscConj(*v)*(*v)); v++;
1303 #else
1304         sum += (*v)*(*v); v++;
1305 #endif
1306       }
1307       v = bmat->a;
1308       for (i=0; i<bmat->nz; i++ ) {
1309 #if defined(USE_PETSC_COMPLEX)
1310         sum += PetscReal(PetscConj(*v)*(*v)); v++;
1311 #else
1312         sum += (*v)*(*v); v++;
1313 #endif
1314       }
1315       ierr = MPI_Allreduce(&sum,norm,1,MPI_DOUBLE,MPI_SUM,mat->comm);CHKERRQ(ierr);
1316       *norm = sqrt(*norm);
1317     } else if (type == NORM_1) { /* max column norm */
1318       double *tmp, *tmp2;
1319       int    *jj, *garray = aij->garray;
1320       tmp  = (double *) PetscMalloc( (aij->N+1)*sizeof(double) ); CHKPTRQ(tmp);
1321       tmp2 = (double *) PetscMalloc( (aij->N+1)*sizeof(double) ); CHKPTRQ(tmp2);
1322       PetscMemzero(tmp,aij->N*sizeof(double));
1323       *norm = 0.0;
1324       v = amat->a; jj = amat->j;
1325       for ( j=0; j<amat->nz; j++ ) {
1326         tmp[cstart + *jj++ + shift] += PetscAbsScalar(*v);  v++;
1327       }
1328       v = bmat->a; jj = bmat->j;
1329       for ( j=0; j<bmat->nz; j++ ) {
1330         tmp[garray[*jj++ + shift]] += PetscAbsScalar(*v); v++;
1331       }
1332       ierr = MPI_Allreduce(tmp,tmp2,aij->N,MPI_DOUBLE,MPI_SUM,mat->comm);CHKERRQ(ierr);
1333       for ( j=0; j<aij->N; j++ ) {
1334         if (tmp2[j] > *norm) *norm = tmp2[j];
1335       }
1336       PetscFree(tmp); PetscFree(tmp2);
1337     } else if (type == NORM_INFINITY) { /* max row norm */
1338       double ntemp = 0.0;
1339       for ( j=0; j<amat->m; j++ ) {
1340         v = amat->a + amat->i[j] + shift;
1341         sum = 0.0;
1342         for ( i=0; i<amat->i[j+1]-amat->i[j]; i++ ) {
1343           sum += PetscAbsScalar(*v); v++;
1344         }
1345         v = bmat->a + bmat->i[j] + shift;
1346         for ( i=0; i<bmat->i[j+1]-bmat->i[j]; i++ ) {
1347           sum += PetscAbsScalar(*v); v++;
1348         }
1349         if (sum > ntemp) ntemp = sum;
1350       }
1351       ierr = MPI_Allreduce(&ntemp,norm,1,MPI_DOUBLE,MPI_MAX,mat->comm);CHKERRQ(ierr);
1352     } else {
1353       SETERRQ(PETSC_ERR_SUP,0,"No support for two norm");
1354     }
1355   }
1356   PetscFunctionReturn(0);
1357 }
1358 
1359 #undef __FUNC__
1360 #define __FUNC__ "MatTranspose_MPIAIJ"
1361 int MatTranspose_MPIAIJ(Mat A,Mat *matout)
1362 {
1363   Mat_MPIAIJ *a = (Mat_MPIAIJ *) A->data;
1364   Mat_SeqAIJ *Aloc = (Mat_SeqAIJ *) a->A->data;
1365   int        ierr,shift = Aloc->indexshift;
1366   int        M = a->M, N = a->N,m,*ai,*aj,row,*cols,i,*ct;
1367   Mat        B;
1368   Scalar     *array;
1369 
1370   PetscFunctionBegin;
1371   if (matout == PETSC_NULL && M != N) {
1372     SETERRQ(PETSC_ERR_ARG_SIZ,0,"Square matrix only for in-place");
1373   }
1374 
1375   ierr = MatCreateMPIAIJ(A->comm,a->n,a->m,N,M,0,PETSC_NULL,0,PETSC_NULL,&B);CHKERRQ(ierr);
1376 
1377   /* copy over the A part */
1378   Aloc = (Mat_SeqAIJ*) a->A->data;
1379   m = Aloc->m; ai = Aloc->i; aj = Aloc->j; array = Aloc->a;
1380   row = a->rstart;
1381   for ( i=0; i<ai[m]+shift; i++ ) {aj[i] += a->cstart + shift;}
1382   for ( i=0; i<m; i++ ) {
1383     ierr = MatSetValues(B,ai[i+1]-ai[i],aj,1,&row,array,INSERT_VALUES);CHKERRQ(ierr);
1384     row++; array += ai[i+1]-ai[i]; aj += ai[i+1]-ai[i];
1385   }
1386   aj = Aloc->j;
1387   for ( i=0; i<ai[m]+shift; i++ ) {aj[i] -= a->cstart + shift;}
1388 
1389   /* copy over the B part */
1390   Aloc = (Mat_SeqAIJ*) a->B->data;
1391   m = Aloc->m;  ai = Aloc->i; aj = Aloc->j; array = Aloc->a;
1392   row = a->rstart;
1393   ct = cols = (int *) PetscMalloc( (1+ai[m]-shift)*sizeof(int) ); CHKPTRQ(cols);
1394   for ( i=0; i<ai[m]+shift; i++ ) {cols[i] = a->garray[aj[i]+shift];}
1395   for ( i=0; i<m; i++ ) {
1396     ierr = MatSetValues(B,ai[i+1]-ai[i],cols,1,&row,array,INSERT_VALUES);CHKERRQ(ierr);
1397     row++; array += ai[i+1]-ai[i]; cols += ai[i+1]-ai[i];
1398   }
1399   PetscFree(ct);
1400   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY); CHKERRQ(ierr);
1401   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY); CHKERRQ(ierr);
1402   if (matout != PETSC_NULL) {
1403     *matout = B;
1404   } else {
1405     PetscOps       *Abops;
1406     struct _MatOps *Aops;
1407 
1408     /* This isn't really an in-place transpose .... but free data structures from a */
1409     PetscFree(a->rowners);
1410     ierr = MatDestroy(a->A); CHKERRQ(ierr);
1411     ierr = MatDestroy(a->B); CHKERRQ(ierr);
1412     if (a->colmap) PetscFree(a->colmap);
1413     if (a->garray) PetscFree(a->garray);
1414     if (a->lvec) VecDestroy(a->lvec);
1415     if (a->Mvctx) VecScatterDestroy(a->Mvctx);
1416     PetscFree(a);
1417 
1418     /*
1419        This is horrible, horrible code. We need to keep the
1420       A pointers for the bops and ops but copy everything
1421       else from C.
1422     */
1423     Abops = A->bops;
1424     Aops  = A->ops;
1425     PetscMemcpy(A,B,sizeof(struct _p_Mat));
1426     A->bops = Abops;
1427     A->ops  = Aops;
1428     PetscHeaderDestroy(B);
1429   }
1430   PetscFunctionReturn(0);
1431 }
1432 
1433 #undef __FUNC__
1434 #define __FUNC__ "MatDiagonalScale_MPIAIJ"
1435 int MatDiagonalScale_MPIAIJ(Mat mat,Vec ll,Vec rr)
1436 {
1437   Mat_MPIAIJ *aij = (Mat_MPIAIJ *) mat->data;
1438   Mat a = aij->A, b = aij->B;
1439   int ierr,s1,s2,s3;
1440 
1441   PetscFunctionBegin;
1442   ierr = MatGetLocalSize(mat,&s2,&s3); CHKERRQ(ierr);
1443   if (rr) {
1444     ierr = VecGetLocalSize(rr,&s1);CHKERRQ(ierr);
1445     if (s1!=s3) SETERRQ(PETSC_ERR_ARG_SIZ,0,"right vector non-conforming local size");
1446     /* Overlap communication with computation. */
1447     ierr = VecScatterBegin(rr,aij->lvec,INSERT_VALUES,SCATTER_FORWARD,aij->Mvctx); CHKERRQ(ierr);
1448   }
1449   if (ll) {
1450     ierr = VecGetLocalSize(ll,&s1);CHKERRQ(ierr);
1451     if (s1!=s2) SETERRQ(PETSC_ERR_ARG_SIZ,0,"left vector non-conforming local size");
1452     ierr = (*b->ops->diagonalscale)(b,ll,0); CHKERRQ(ierr);
1453   }
1454   /* scale  the diagonal block */
1455   ierr = (*a->ops->diagonalscale)(a,ll,rr); CHKERRQ(ierr);
1456 
1457   if (rr) {
1458     /* Do a scatter end and then right scale the off-diagonal block */
1459     ierr = VecScatterEnd(rr,aij->lvec,INSERT_VALUES,SCATTER_FORWARD,aij->Mvctx); CHKERRQ(ierr);
1460     ierr = (*b->ops->diagonalscale)(b,0,aij->lvec); CHKERRQ(ierr);
1461   }
1462 
1463   PetscFunctionReturn(0);
1464 }
1465 
1466 
1467 extern int MatPrintHelp_SeqAIJ(Mat);
1468 #undef __FUNC__
1469 #define __FUNC__ "MatPrintHelp_MPIAIJ"
1470 int MatPrintHelp_MPIAIJ(Mat A)
1471 {
1472   Mat_MPIAIJ *a   = (Mat_MPIAIJ*) A->data;
1473   int        ierr;
1474 
1475   PetscFunctionBegin;
1476   if (!a->rank) {
1477     ierr = MatPrintHelp_SeqAIJ(a->A);CHKERRQ(ierr);
1478   }
1479   PetscFunctionReturn(0);
1480 }
1481 
1482 #undef __FUNC__
1483 #define __FUNC__ "MatGetBlockSize_MPIAIJ"
1484 int MatGetBlockSize_MPIAIJ(Mat A,int *bs)
1485 {
1486   PetscFunctionBegin;
1487   *bs = 1;
1488   PetscFunctionReturn(0);
1489 }
1490 #undef __FUNC__
1491 #define __FUNC__ "MatSetUnfactored_MPIAIJ"
1492 int MatSetUnfactored_MPIAIJ(Mat A)
1493 {
1494   Mat_MPIAIJ *a   = (Mat_MPIAIJ*) A->data;
1495   int        ierr;
1496 
1497   PetscFunctionBegin;
1498   ierr = MatSetUnfactored(a->A); CHKERRQ(ierr);
1499   PetscFunctionReturn(0);
1500 }
1501 
1502 #undef __FUNC__
1503 #define __FUNC__ "MatEqual_MPIAIJ"
1504 int MatEqual_MPIAIJ(Mat A, Mat B, PetscTruth *flag)
1505 {
1506   Mat_MPIAIJ *matB = (Mat_MPIAIJ *) B->data,*matA = (Mat_MPIAIJ *) A->data;
1507   Mat        a, b, c, d;
1508   PetscTruth flg;
1509   int        ierr;
1510 
1511   PetscFunctionBegin;
1512   if (B->type != MATMPIAIJ) SETERRQ(PETSC_ERR_ARG_INCOMP,0,"Matrices must be same type");
1513   a = matA->A; b = matA->B;
1514   c = matB->A; d = matB->B;
1515 
1516   ierr = MatEqual(a, c, &flg); CHKERRQ(ierr);
1517   if (flg == PETSC_TRUE) {
1518     ierr = MatEqual(b, d, &flg); CHKERRQ(ierr);
1519   }
1520   ierr = MPI_Allreduce(&flg, flag, 1, MPI_INT, MPI_LAND, A->comm);CHKERRQ(ierr);
1521   PetscFunctionReturn(0);
1522 }
1523 
1524 extern int MatConvertSameType_MPIAIJ(Mat,Mat *,int);
1525 extern int MatIncreaseOverlap_MPIAIJ(Mat , int, IS *, int);
1526 extern int MatFDColoringCreate_MPIAIJ(Mat,ISColoring,MatFDColoring);
1527 extern int MatGetSubMatrices_MPIAIJ (Mat ,int , IS *,IS *,MatGetSubMatrixCall,Mat **);
1528 extern int MatGetSubMatrix_MPIAIJ (Mat ,IS,IS,int,MatGetSubMatrixCall,Mat *);
1529 
1530 /* -------------------------------------------------------------------*/
1531 static struct _MatOps MatOps = {MatSetValues_MPIAIJ,
1532        MatGetRow_MPIAIJ,MatRestoreRow_MPIAIJ,
1533        MatMult_MPIAIJ,MatMultAdd_MPIAIJ,
1534        MatMultTrans_MPIAIJ,MatMultTransAdd_MPIAIJ,
1535        0,0,
1536        0,0,
1537        0,0,
1538        MatRelax_MPIAIJ,
1539        MatTranspose_MPIAIJ,
1540        MatGetInfo_MPIAIJ,MatEqual_MPIAIJ,
1541        MatGetDiagonal_MPIAIJ,MatDiagonalScale_MPIAIJ,MatNorm_MPIAIJ,
1542        MatAssemblyBegin_MPIAIJ,MatAssemblyEnd_MPIAIJ,
1543        0,
1544        MatSetOption_MPIAIJ,MatZeroEntries_MPIAIJ,MatZeroRows_MPIAIJ,
1545        0,0,0,0,
1546        MatGetSize_MPIAIJ,MatGetLocalSize_MPIAIJ,MatGetOwnershipRange_MPIAIJ,
1547        0,0,
1548        0,0,MatConvertSameType_MPIAIJ,0,0,
1549        0,0,0,
1550        MatGetSubMatrices_MPIAIJ,MatIncreaseOverlap_MPIAIJ,MatGetValues_MPIAIJ,0,
1551        MatPrintHelp_MPIAIJ,
1552        MatScale_MPIAIJ,0,0,0,
1553        MatGetBlockSize_MPIAIJ,0,0,0,0,
1554        MatFDColoringCreate_MPIAIJ,0,MatSetUnfactored_MPIAIJ,
1555        0,0,MatGetSubMatrix_MPIAIJ};
1556 
1557 
1558 #undef __FUNC__
1559 #define __FUNC__ "MatCreateMPIAIJ"
1560 /*@C
1561    MatCreateMPIAIJ - Creates a sparse parallel matrix in AIJ format
1562    (the default parallel PETSc format).  For good matrix assembly performance
1563    the user should preallocate the matrix storage by setting the parameters
1564    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
1565    performance can be increased by more than a factor of 50.
1566 
1567    Collective on MPI_Comm
1568 
1569    Input Parameters:
1570 +  comm - MPI communicator
1571 .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
1572            This value should be the same as the local size used in creating the
1573            y vector for the matrix-vector product y = Ax.
1574 .  n - This value should be the same as the local size used in creating the
1575        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
1576        calculated if N is given) For square matrices n is almost always m.
1577 .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
1578 .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
1579 .  d_nz - number of nonzeros per row in diagonal portion of local submatrix
1580            (same for all local rows)
1581 .  d_nzz - array containing the number of nonzeros in the various rows of the
1582            diagonal portion of the local submatrix (possibly different for each row)
1583            or PETSC_NULL. You must leave room for the diagonal entry even if
1584            it is zero.
1585 .  o_nz - number of nonzeros per row in the off-diagonal portion of local
1586            submatrix (same for all local rows).
1587 -  o_nzz - array containing the number of nonzeros in the various rows of the
1588            off-diagonal portion of the local submatrix (possibly different for
1589            each row) or PETSC_NULL.
1590 
1591    Output Parameter:
1592 .  A - the matrix
1593 
1594    Notes:
1595    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
1596    than it must be used on all processors that share the object for that argument.
1597 
1598    The AIJ format (also called the Yale sparse matrix format or
1599    compressed row storage), is fully compatible with standard Fortran 77
1600    storage.  That is, the stored row and column indices can begin at
1601    either one (as in Fortran) or zero.  See the users manual for details.
1602 
1603    The user MUST specify either the local or global matrix dimensions
1604    (possibly both).
1605 
1606    By default, this format uses inodes (identical nodes) when possible.
1607    We search for consecutive rows with the same nonzero structure, thereby
1608    reusing matrix information to achieve increased efficiency.
1609 
1610    Options Database Keys:
1611 +  -mat_aij_no_inode  - Do not use inodes
1612 .  -mat_aij_inode_limit <limit> - Sets inode limit (max limit=5)
1613 -  -mat_aij_oneindex - Internally use indexing starting at 1
1614         rather than 0.  Note that when calling MatSetValues(),
1615         the user still MUST index entries starting at 0!
1616 
1617    Storage Information:
1618    For a square global matrix we define each processor's diagonal portion
1619    to be its local rows and the corresponding columns (a square submatrix);
1620    each processor's off-diagonal portion encompasses the remainder of the
1621    local matrix (a rectangular submatrix).
1622 
1623    The user can specify preallocated storage for the diagonal part of
1624    the local submatrix with either d_nz or d_nnz (not both).  Set
1625    d_nz=PETSC_DEFAULT and d_nnz=PETSC_NULL for PETSc to control dynamic
1626    memory allocation.  Likewise, specify preallocated storage for the
1627    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).
1628 
1629    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
1630    the figure below we depict these three local rows and all columns (0-11).
1631 
1632 .vb
1633              0 1 2 3 4 5 6 7 8 9 10 11
1634             -------------------
1635      row 3  |  o o o d d d o o o o o o
1636      row 4  |  o o o d d d o o o o o o
1637      row 5  |  o o o d d d o o o o o o
1638             -------------------
1639 .ve
1640 
1641    Thus, any entries in the d locations are stored in the d (diagonal)
1642    submatrix, and any entries in the o locations are stored in the
1643    o (off-diagonal) submatrix.  Note that the d and the o submatrices are
1644    stored simply in the MATSEQAIJ format for compressed row storage.
1645 
1646    Now d_nz should indicate the number of nonzeros per row in the d matrix,
1647    and o_nz should indicate the number of nonzeros per row in the o matrix.
1648    In general, for PDE problems in which most nonzeros are near the diagonal,
1649    one expects d_nz >> o_nz. For large problems you MUST preallocate memory
1650    or you will get TERRIBLE performance; see the users' manual chapter on
1651    matrices.
1652 
1653 .keywords: matrix, aij, compressed row, sparse, parallel
1654 
1655 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues()
1656 @*/
1657 int MatCreateMPIAIJ(MPI_Comm comm,int m,int n,int M,int N,int d_nz,int *d_nnz,int o_nz,int *o_nnz,Mat *A)
1658 {
1659   Mat          B;
1660   Mat_MPIAIJ   *b;
1661   int          ierr, i,sum[2],work[2],size;
1662 
1663   PetscFunctionBegin;
1664   MPI_Comm_size(comm,&size);
1665   if (size == 1) {
1666     if (M == PETSC_DECIDE) M = m;
1667     if (N == PETSC_DECIDE) N = n;
1668     ierr = MatCreateSeqAIJ(comm,M,N,d_nz,d_nnz,A); CHKERRQ(ierr);
1669     PetscFunctionReturn(0);
1670   }
1671 
1672   *A = 0;
1673   PetscHeaderCreate(B,_p_Mat,struct _MatOps,MAT_COOKIE,MATMPIAIJ,comm,MatDestroy,MatView);
1674   PLogObjectCreate(B);
1675   B->data       = (void *) (b = PetscNew(Mat_MPIAIJ)); CHKPTRQ(b);
1676   PetscMemzero(b,sizeof(Mat_MPIAIJ));
1677   PetscMemcpy(B->ops,&MatOps,sizeof(struct _MatOps));
1678   B->ops->destroy    = MatDestroy_MPIAIJ;
1679   B->ops->view       = MatView_MPIAIJ;
1680   B->factor     = 0;
1681   B->assembled  = PETSC_FALSE;
1682   B->mapping    = 0;
1683 
1684   B->insertmode = NOT_SET_VALUES;
1685   b->size       = size;
1686   MPI_Comm_rank(comm,&b->rank);
1687 
1688   if (m == PETSC_DECIDE && (d_nnz != PETSC_NULL || o_nnz != PETSC_NULL)) {
1689     SETERRQ(PETSC_ERR_ARG_WRONG,0,"Cannot have PETSC_DECIDE rows but set d_nnz or o_nnz");
1690   }
1691 
1692   if (M == PETSC_DECIDE || N == PETSC_DECIDE) {
1693     work[0] = m; work[1] = n;
1694     ierr = MPI_Allreduce( work, sum,2,MPI_INT,MPI_SUM,comm );CHKERRQ(ierr);
1695     if (M == PETSC_DECIDE) M = sum[0];
1696     if (N == PETSC_DECIDE) N = sum[1];
1697   }
1698   if (m == PETSC_DECIDE) {m = M/b->size + ((M % b->size) > b->rank);}
1699   if (n == PETSC_DECIDE) {n = N/b->size + ((N % b->size) > b->rank);}
1700   b->m = m; B->m = m;
1701   b->n = n; B->n = n;
1702   b->N = N; B->N = N;
1703   b->M = M; B->M = M;
1704 
1705   /* build local table of row and column ownerships */
1706   b->rowners = (int *) PetscMalloc(2*(b->size+2)*sizeof(int)); CHKPTRQ(b->rowners);
1707   PLogObjectMemory(B,2*(b->size+2)*sizeof(int)+sizeof(struct _p_Mat)+sizeof(Mat_MPIAIJ));
1708   b->cowners = b->rowners + b->size + 2;
1709   ierr = MPI_Allgather(&m,1,MPI_INT,b->rowners+1,1,MPI_INT,comm);CHKERRQ(ierr);
1710   b->rowners[0] = 0;
1711   for ( i=2; i<=b->size; i++ ) {
1712     b->rowners[i] += b->rowners[i-1];
1713   }
1714   b->rstart = b->rowners[b->rank];
1715   b->rend   = b->rowners[b->rank+1];
1716   ierr = MPI_Allgather(&n,1,MPI_INT,b->cowners+1,1,MPI_INT,comm);CHKERRQ(ierr);
1717   b->cowners[0] = 0;
1718   for ( i=2; i<=b->size; i++ ) {
1719     b->cowners[i] += b->cowners[i-1];
1720   }
1721   b->cstart = b->cowners[b->rank];
1722   b->cend   = b->cowners[b->rank+1];
1723 
1724   if (d_nz == PETSC_DEFAULT) d_nz = 5;
1725   ierr = MatCreateSeqAIJ(PETSC_COMM_SELF,m,n,d_nz,d_nnz,&b->A); CHKERRQ(ierr);
1726   PLogObjectParent(B,b->A);
1727   if (o_nz == PETSC_DEFAULT) o_nz = 0;
1728   ierr = MatCreateSeqAIJ(PETSC_COMM_SELF,m,N,o_nz,o_nnz,&b->B); CHKERRQ(ierr);
1729   PLogObjectParent(B,b->B);
1730 
1731   /* build cache for off array entries formed */
1732   ierr = StashBuild_Private(&b->stash); CHKERRQ(ierr);
1733   b->donotstash  = 0;
1734   b->colmap      = 0;
1735   b->garray      = 0;
1736   b->roworiented = 1;
1737 
1738   /* stuff used for matrix vector multiply */
1739   b->lvec      = 0;
1740   b->Mvctx     = 0;
1741 
1742   /* stuff for MatGetRow() */
1743   b->rowindices   = 0;
1744   b->rowvalues    = 0;
1745   b->getrowactive = PETSC_FALSE;
1746 
1747   *A = B;
1748   PetscFunctionReturn(0);
1749 }
1750 
1751 #undef __FUNC__
1752 #define __FUNC__ "MatConvertSameType_MPIAIJ"
1753 int MatConvertSameType_MPIAIJ(Mat matin,Mat *newmat,int cpvalues)
1754 {
1755   Mat        mat;
1756   Mat_MPIAIJ *a,*oldmat = (Mat_MPIAIJ *) matin->data;
1757   int        ierr, len=0, flg;
1758 
1759   PetscFunctionBegin;
1760   *newmat       = 0;
1761   PetscHeaderCreate(mat,_p_Mat,struct _MatOps,MAT_COOKIE,MATMPIAIJ,matin->comm,MatDestroy,MatView);
1762   PLogObjectCreate(mat);
1763   mat->data       = (void *) (a = PetscNew(Mat_MPIAIJ)); CHKPTRQ(a);
1764   PetscMemcpy(mat->ops,&MatOps,sizeof(struct _MatOps));
1765   mat->ops->destroy    = MatDestroy_MPIAIJ;
1766   mat->ops->view       = MatView_MPIAIJ;
1767   mat->factor     = matin->factor;
1768   mat->assembled  = PETSC_TRUE;
1769 
1770   a->m = mat->m   = oldmat->m;
1771   a->n = mat->n   = oldmat->n;
1772   a->M = mat->M   = oldmat->M;
1773   a->N = mat->N   = oldmat->N;
1774 
1775   a->rstart       = oldmat->rstart;
1776   a->rend         = oldmat->rend;
1777   a->cstart       = oldmat->cstart;
1778   a->cend         = oldmat->cend;
1779   a->size         = oldmat->size;
1780   a->rank         = oldmat->rank;
1781   mat->insertmode = NOT_SET_VALUES;
1782   a->rowvalues    = 0;
1783   a->getrowactive = PETSC_FALSE;
1784 
1785   a->rowners = (int *) PetscMalloc(2*(a->size+2)*sizeof(int)); CHKPTRQ(a->rowners);
1786   PLogObjectMemory(mat,2*(a->size+2)*sizeof(int)+sizeof(struct _p_Mat)+sizeof(Mat_MPIAIJ));
1787   a->cowners = a->rowners + a->size + 2;
1788   PetscMemcpy(a->rowners,oldmat->rowners,2*(a->size+2)*sizeof(int));
1789   ierr = StashInitialize_Private(&a->stash); CHKERRQ(ierr);
1790   if (oldmat->colmap) {
1791     a->colmap = (int *) PetscMalloc((a->N)*sizeof(int));CHKPTRQ(a->colmap);
1792     PLogObjectMemory(mat,(a->N)*sizeof(int));
1793     PetscMemcpy(a->colmap,oldmat->colmap,(a->N)*sizeof(int));
1794   } else a->colmap = 0;
1795   if (oldmat->garray) {
1796     len = ((Mat_SeqAIJ *) (oldmat->B->data))->n;
1797     a->garray = (int *) PetscMalloc((len+1)*sizeof(int)); CHKPTRQ(a->garray);
1798     PLogObjectMemory(mat,len*sizeof(int));
1799     if (len) PetscMemcpy(a->garray,oldmat->garray,len*sizeof(int));
1800   } else a->garray = 0;
1801 
1802   ierr =  VecDuplicate(oldmat->lvec,&a->lvec); CHKERRQ(ierr);
1803   PLogObjectParent(mat,a->lvec);
1804   ierr =  VecScatterCopy(oldmat->Mvctx,&a->Mvctx); CHKERRQ(ierr);
1805   PLogObjectParent(mat,a->Mvctx);
1806   ierr =  MatConvert(oldmat->A,MATSAME,&a->A); CHKERRQ(ierr);
1807   PLogObjectParent(mat,a->A);
1808   ierr =  MatConvert(oldmat->B,MATSAME,&a->B); CHKERRQ(ierr);
1809   PLogObjectParent(mat,a->B);
1810   ierr = OptionsHasName(PETSC_NULL,"-help",&flg); CHKERRQ(ierr);
1811   if (flg) {
1812     ierr = MatPrintHelp(mat); CHKERRQ(ierr);
1813   }
1814   *newmat = mat;
1815   PetscFunctionReturn(0);
1816 }
1817 
1818 #include "sys.h"
1819 
1820 #undef __FUNC__
1821 #define __FUNC__ "MatLoad_MPIAIJ"
1822 int MatLoad_MPIAIJ(Viewer viewer,MatType type,Mat *newmat)
1823 {
1824   Mat          A;
1825   Scalar       *vals,*svals;
1826   MPI_Comm     comm = ((PetscObject)viewer)->comm;
1827   MPI_Status   status;
1828   int          i, nz, ierr, j,rstart, rend, fd;
1829   int          header[4],rank,size,*rowlengths = 0,M,N,m,*rowners,maxnz,*cols;
1830   int          *ourlens,*sndcounts = 0,*procsnz = 0, *offlens,jj,*mycols,*smycols;
1831   int          tag = ((PetscObject)viewer)->tag;
1832 
1833   PetscFunctionBegin;
1834   MPI_Comm_size(comm,&size); MPI_Comm_rank(comm,&rank);
1835   if (!rank) {
1836     ierr = ViewerBinaryGetDescriptor(viewer,&fd); CHKERRQ(ierr);
1837     ierr = PetscBinaryRead(fd,(char *)header,4,PETSC_INT); CHKERRQ(ierr);
1838     if (header[0] != MAT_COOKIE) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,0,"not matrix object");
1839     if (header[3] < 0) {
1840       SETERRQ(PETSC_ERR_FILE_UNEXPECTED,1,"Matrix in special format on disk, cannot load as MPIAIJ");
1841     }
1842   }
1843 
1844   ierr = MPI_Bcast(header+1,3,MPI_INT,0,comm);CHKERRQ(ierr);
1845   M = header[1]; N = header[2];
1846   /* determine ownership of all rows */
1847   m = M/size + ((M % size) > rank);
1848   rowners = (int *) PetscMalloc((size+2)*sizeof(int)); CHKPTRQ(rowners);
1849   ierr = MPI_Allgather(&m,1,MPI_INT,rowners+1,1,MPI_INT,comm);CHKERRQ(ierr);
1850   rowners[0] = 0;
1851   for ( i=2; i<=size; i++ ) {
1852     rowners[i] += rowners[i-1];
1853   }
1854   rstart = rowners[rank];
1855   rend   = rowners[rank+1];
1856 
1857   /* distribute row lengths to all processors */
1858   ourlens = (int*) PetscMalloc( 2*(rend-rstart)*sizeof(int) ); CHKPTRQ(ourlens);
1859   offlens = ourlens + (rend-rstart);
1860   if (!rank) {
1861     rowlengths = (int*) PetscMalloc( M*sizeof(int) ); CHKPTRQ(rowlengths);
1862     ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT); CHKERRQ(ierr);
1863     sndcounts = (int*) PetscMalloc( size*sizeof(int) ); CHKPTRQ(sndcounts);
1864     for ( i=0; i<size; i++ ) sndcounts[i] = rowners[i+1] - rowners[i];
1865     ierr = MPI_Scatterv(rowlengths,sndcounts,rowners,MPI_INT,ourlens,rend-rstart,MPI_INT,0,comm);CHKERRQ(ierr);
1866     PetscFree(sndcounts);
1867   } else {
1868     ierr = MPI_Scatterv(0,0,0,MPI_INT,ourlens,rend-rstart,MPI_INT, 0,comm);CHKERRQ(ierr);
1869   }
1870 
1871   if (!rank) {
1872     /* calculate the number of nonzeros on each processor */
1873     procsnz = (int*) PetscMalloc( size*sizeof(int) ); CHKPTRQ(procsnz);
1874     PetscMemzero(procsnz,size*sizeof(int));
1875     for ( i=0; i<size; i++ ) {
1876       for ( j=rowners[i]; j< rowners[i+1]; j++ ) {
1877         procsnz[i] += rowlengths[j];
1878       }
1879     }
1880     PetscFree(rowlengths);
1881 
1882     /* determine max buffer needed and allocate it */
1883     maxnz = 0;
1884     for ( i=0; i<size; i++ ) {
1885       maxnz = PetscMax(maxnz,procsnz[i]);
1886     }
1887     cols = (int *) PetscMalloc( maxnz*sizeof(int) ); CHKPTRQ(cols);
1888 
1889     /* read in my part of the matrix column indices  */
1890     nz     = procsnz[0];
1891     mycols = (int *) PetscMalloc( nz*sizeof(int) ); CHKPTRQ(mycols);
1892     ierr   = PetscBinaryRead(fd,mycols,nz,PETSC_INT); CHKERRQ(ierr);
1893 
1894     /* read in every one elses and ship off */
1895     for ( i=1; i<size; i++ ) {
1896       nz   = procsnz[i];
1897       ierr = PetscBinaryRead(fd,cols,nz,PETSC_INT); CHKERRQ(ierr);
1898       ierr = MPI_Send(cols,nz,MPI_INT,i,tag,comm);CHKERRQ(ierr);
1899     }
1900     PetscFree(cols);
1901   } else {
1902     /* determine buffer space needed for message */
1903     nz = 0;
1904     for ( i=0; i<m; i++ ) {
1905       nz += ourlens[i];
1906     }
1907     mycols = (int*) PetscMalloc( nz*sizeof(int) ); CHKPTRQ(mycols);
1908 
1909     /* receive message of column indices*/
1910     ierr = MPI_Recv(mycols,nz,MPI_INT,0,tag,comm,&status);CHKERRQ(ierr);
1911     ierr = MPI_Get_count(&status,MPI_INT,&maxnz);CHKERRQ(ierr);
1912     if (maxnz != nz) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,0,"something is wrong with file");
1913   }
1914 
1915   /* loop over local rows, determining number of off diagonal entries */
1916   PetscMemzero(offlens,m*sizeof(int));
1917   jj = 0;
1918   for ( i=0; i<m; i++ ) {
1919     for ( j=0; j<ourlens[i]; j++ ) {
1920       if (mycols[jj] < rstart || mycols[jj] >= rend) offlens[i]++;
1921       jj++;
1922     }
1923   }
1924 
1925   /* create our matrix */
1926   for ( i=0; i<m; i++ ) {
1927     ourlens[i] -= offlens[i];
1928   }
1929   ierr = MatCreateMPIAIJ(comm,m,PETSC_DECIDE,M,N,0,ourlens,0,offlens,newmat);CHKERRQ(ierr);
1930   A = *newmat;
1931   MatSetOption(A,MAT_COLUMNS_SORTED);
1932   for ( i=0; i<m; i++ ) {
1933     ourlens[i] += offlens[i];
1934   }
1935 
1936   if (!rank) {
1937     vals = (Scalar *) PetscMalloc( maxnz*sizeof(Scalar) ); CHKPTRQ(vals);
1938 
1939     /* read in my part of the matrix numerical values  */
1940     nz = procsnz[0];
1941     ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR); CHKERRQ(ierr);
1942 
1943     /* insert into matrix */
1944     jj      = rstart;
1945     smycols = mycols;
1946     svals   = vals;
1947     for ( i=0; i<m; i++ ) {
1948       ierr = MatSetValues(A,1,&jj,ourlens[i],smycols,svals,INSERT_VALUES);CHKERRQ(ierr);
1949       smycols += ourlens[i];
1950       svals   += ourlens[i];
1951       jj++;
1952     }
1953 
1954     /* read in other processors and ship out */
1955     for ( i=1; i<size; i++ ) {
1956       nz   = procsnz[i];
1957       ierr = PetscBinaryRead(fd,vals,nz,PETSC_SCALAR); CHKERRQ(ierr);
1958       ierr = MPI_Send(vals,nz,MPIU_SCALAR,i,A->tag,comm);CHKERRQ(ierr);
1959     }
1960     PetscFree(procsnz);
1961   } else {
1962     /* receive numeric values */
1963     vals = (Scalar*) PetscMalloc( nz*sizeof(Scalar) ); CHKPTRQ(vals);
1964 
1965     /* receive message of values*/
1966     ierr = MPI_Recv(vals,nz,MPIU_SCALAR,0,A->tag,comm,&status);CHKERRQ(ierr);
1967     ierr = MPI_Get_count(&status,MPIU_SCALAR,&maxnz);CHKERRQ(ierr);
1968     if (maxnz != nz) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,0,"something is wrong with file");
1969 
1970     /* insert into matrix */
1971     jj      = rstart;
1972     smycols = mycols;
1973     svals   = vals;
1974     for ( i=0; i<m; i++ ) {
1975       ierr     = MatSetValues(A,1,&jj,ourlens[i],smycols,svals,INSERT_VALUES);CHKERRQ(ierr);
1976       smycols += ourlens[i];
1977       svals   += ourlens[i];
1978       jj++;
1979     }
1980   }
1981   PetscFree(ourlens); PetscFree(vals); PetscFree(mycols); PetscFree(rowners);
1982 
1983   ierr = MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY); CHKERRQ(ierr);
1984   ierr = MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY); CHKERRQ(ierr);
1985   PetscFunctionReturn(0);
1986 }
1987 
1988 #undef __FUNC__
1989 #define __FUNC__ "MatGetSubMatrix_MPIAIJ"
1990 /*
1991     Not great since it makes two copies of the submatrix, first an SeqAIJ
1992   in local and then by concatenating the local matrices the end result.
1993   Writing it directly would be much like MatGetSubMatrices_MPIAIJ()
1994 */
1995 int MatGetSubMatrix_MPIAIJ(Mat mat,IS isrow,IS iscol,int csize,MatGetSubMatrixCall call,Mat *newmat)
1996 {
1997   int        ierr, i, m,n,rstart,row,rend,nz,*cwork,size,rank,j;
1998   Mat        *local,M, Mreuse;
1999   Scalar     *vwork,*aa;
2000   MPI_Comm   comm = mat->comm;
2001   Mat_SeqAIJ *aij;
2002   int        *ii, *jj,nlocal,*dlens,*olens,dlen,olen,jend;
2003 
2004   PetscFunctionBegin;
2005   MPI_Comm_rank(comm,&rank);
2006   MPI_Comm_size(comm,&size);
2007 
2008   if (call ==  MAT_REUSE_MATRIX) {
2009     ierr = PetscObjectQuery((PetscObject)*newmat,"SubMatrix",(PetscObject *)&Mreuse);CHKERRQ(ierr);
2010     if (!Mreuse) SETERRQ(1,1,"Submatrix passed in was not used before, cannot reuse");
2011     local = &Mreuse;
2012     ierr  = MatGetSubMatrices(mat,1,&isrow,&iscol,MAT_REUSE_MATRIX,&local);CHKERRQ(ierr);
2013   } else {
2014     ierr = MatGetSubMatrices(mat,1,&isrow,&iscol,MAT_INITIAL_MATRIX,&local);CHKERRQ(ierr);
2015     Mreuse = *local;
2016     PetscFree(local);
2017   }
2018 
2019   /*
2020       m - number of local rows
2021       n - number of columns (same on all processors)
2022       rstart - first row in new global matrix generated
2023   */
2024   ierr = MatGetSize(Mreuse,&m,&n);CHKERRQ(ierr);
2025   if (call == MAT_INITIAL_MATRIX) {
2026     aij = (Mat_SeqAIJ *) (Mreuse)->data;
2027     if (aij->indexshift) SETERRQ(PETSC_ERR_SUP,1,"No support for index shifted matrix");
2028     ii  = aij->i;
2029     jj  = aij->j;
2030 
2031     /*
2032         Determine the number of non-zeros in the diagonal and off-diagonal
2033         portions of the matrix in order to do correct preallocation
2034     */
2035 
2036     /* first get start and end of "diagonal" columns */
2037     if (csize == PETSC_DECIDE) {
2038       nlocal = n/size + ((n % size) > rank);
2039     } else {
2040       nlocal = csize;
2041     }
2042     ierr   = MPI_Scan(&nlocal,&rend,1,MPI_INT,MPI_SUM,comm);CHKERRQ(ierr);
2043     rstart = rend - nlocal;
2044     if (rank == size - 1 && rend != n) {
2045       SETERRQ(1,1,"Local column sizes do not add up to total number of columns");
2046     }
2047 
2048     /* next, compute all the lengths */
2049     dlens = (int *) PetscMalloc( (2*m+1)*sizeof(int) );CHKPTRQ(dlens);
2050     olens = dlens + m;
2051     for ( i=0; i<m; i++ ) {
2052       jend = ii[i+1] - ii[i];
2053       olen = 0;
2054       dlen = 0;
2055       for ( j=0; j<jend; j++ ) {
2056         if ( *jj < rstart || *jj >= rend) olen++;
2057         else dlen++;
2058         jj++;
2059       }
2060       olens[i] = olen;
2061       dlens[i] = dlen;
2062     }
2063     ierr = MatCreateMPIAIJ(comm,m,PETSC_DECIDE,PETSC_DECIDE,n,0,dlens,0,olens,&M);CHKERRQ(ierr);
2064     PetscFree(dlens);
2065   } else {
2066     int ml,nl;
2067 
2068     M = *newmat;
2069     ierr = MatGetLocalSize(M,&ml,&nl);CHKERRQ(ierr);
2070     if (ml != m) SETERRQ(PETSC_ERR_ARG_SIZ,1,"Previous matrix must be same size/layout as request");
2071     ierr = MatZeroEntries(M);CHKERRQ(ierr);
2072     /*
2073          The next two lines are needed so we may call MatSetValues_MPIAIJ() below directly,
2074        rather than the slower MatSetValues().
2075     */
2076     M->was_assembled = PETSC_TRUE;
2077     M->assembled     = PETSC_FALSE;
2078   }
2079   ierr = MatGetOwnershipRange(M,&rstart,&rend); CHKERRQ(ierr);
2080   aij = (Mat_SeqAIJ *) (Mreuse)->data;
2081   if (aij->indexshift) SETERRQ(PETSC_ERR_SUP,1,"No support for index shifted matrix");
2082   ii  = aij->i;
2083   jj  = aij->j;
2084   aa  = aij->a;
2085   for (i=0; i<m; i++) {
2086     row   = rstart + i;
2087     nz    = ii[i+1] - ii[i];
2088     cwork = jj;     jj += nz;
2089     vwork = aa;     aa += nz;
2090     ierr = MatSetValues_MPIAIJ(M,1,&row,nz,cwork,vwork,INSERT_VALUES); CHKERRQ(ierr);
2091   }
2092 
2093   ierr = MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY); CHKERRQ(ierr);
2094   ierr = MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY); CHKERRQ(ierr);
2095   *newmat = M;
2096 
2097   /* save submatrix used in processor for next request */
2098   if (call ==  MAT_INITIAL_MATRIX) {
2099     ierr = PetscObjectCompose((PetscObject)M,"SubMatrix",(PetscObject)Mreuse);CHKERRQ(ierr);
2100     ierr = PetscObjectDereference((PetscObject)Mreuse);CHKERRQ(ierr);
2101   }
2102 
2103   PetscFunctionReturn(0);
2104 }
2105