xref: /petsc/src/mat/impls/baij/mpi/baijov.c (revision 1ca473b0f7c3907bef23e1dfbf3df215de8cdc7f)
1 #ifndef lint
2 static char vcid[] = "$Id: baijov.c,v 1.2 1996/07/04 13:00:37 bsmith Exp bsmith $";
3 #endif
4 /*
5    Routines to compute overlapping regions of a parallel MPI matrix
6   and to find submatrices that were shared across processors.
7 */
8 #include "mpibaij.h"
9 #include "src/inline/bitarray.h"
10 
11 static int MatIncreaseOverlap_MPIBAIJ_Once(Mat, int, IS *);
12 static int MatIncreaseOverlap_MPIBAIJ_Local(Mat , int , char **,int*, int**);
13 static int MatIncreaseOverlap_MPIBAIJ_Receive(Mat , int, int **, int**, int* );
14 extern int MatGetRow_MPIBAIJ(Mat,int,int*,int**,Scalar**);
15 extern int MatRestoreRow_MPIBAIJ(Mat,int,int*,int**,Scalar**);
16 
17 static int MatCompressIndices_MPIBAIJ(Mat C, int imax, IS *is)
18 {
19   Mat_MPIBAIJ  *baij = (Mat_MPIBAIJ *) C->data;
20   int          ierr,isz,bs = baij->bs,Nbs,n,i,j,*idx,*nidx,ival;
21   char         *table;
22 
23   Nbs   = baij->Nbs;
24   table = (char *) PetscMalloc((Nbs/BITSPERBYTE +1)*sizeof(char)); CHKPTRQ(table);
25   nidx  = (int *) PetscMalloc((Nbs+1)*sizeof(int)); CHKPTRQ(nidx);
26 
27   for ( i=0; i<imax; i++ ) {
28     isz  = 0;
29     PetscMemzero(table,(Nbs/BITSPERBYTE +1)*sizeof(char));
30     ierr = ISGetIndices(is[i],&idx);  CHKERRQ(ierr);
31     ierr = ISGetSize(is[i],&n);  CHKERRQ(ierr);
32     for ( j=0; j<n ; ++j){
33       ival = idx[j]/bs; /* convert the indices into block indices */
34       if (ival>Nbs) SETERRQ(1,"MatIncreaseOverlap_SeqBAIJ: index greater than mat-dim");
35       if(!BT_LOOKUP(table, ival)) { nidx[isz++] = ival;}
36     }
37     ierr = ISRestoreIndices(is[i],&idx);  CHKERRQ(ierr);
38     ierr = ISDestroy(is[i]); CHKERRQ(ierr);
39     ierr = ISCreateSeq(MPI_COMM_SELF, isz, nidx, (is+i)); CHKERRQ(ierr);
40   }
41   PetscFree(table);
42   PetscFree(nidx);
43   return 0;
44 }
45 
46 static int MatExpandIndices_MPIBAIJ(Mat C, int imax, IS *is)
47 {
48   Mat_MPIBAIJ  *baij = (Mat_MPIBAIJ *) C->data;
49   int          ierr,bs = baij->bs,Nbs,n,i,j,k,*idx,*nidx;
50 
51   Nbs   = baij->Nbs;
52 
53   nidx  = (int *) PetscMalloc((Nbs*bs+1)*sizeof(int)); CHKPTRQ(nidx);
54 
55   for ( i=0; i<imax; i++ ) {
56     ierr = ISGetIndices(is[i],&idx);  CHKERRQ(ierr);
57     ierr = ISGetSize(is[i],&n);  CHKERRQ(ierr);
58     for ( j=0; j<n ; ++j){
59       for ( k=0; k<bs; k++ )
60         nidx[j*bs+k] = idx[j]*bs+k;
61     }
62     ierr = ISRestoreIndices(is[i],&idx);  CHKERRQ(ierr);
63     ierr = ISDestroy(is[i]); CHKERRQ(ierr);
64     ierr = ISCreateSeq(MPI_COMM_SELF, n*bs, nidx, (is+i)); CHKERRQ(ierr);
65   }
66   PetscFree(nidx);
67   return 0;
68 }
69 
70 
71 int MatIncreaseOverlap_MPIBAIJ(Mat C, int imax, IS *is, int ov)
72 {
73   int i, ierr;
74   /* Convert the indices into block format */
75   ierr = MatCompressIndices_MPIBAIJ(C, imax, is); CHKERRQ(ierr);
76   if (ov < 0){ SETERRQ(1," MatIncreaseOverlap_MPIBAIJ:Negative overlap specified\n");}
77   for ( i=0; i<ov; ++i ) {
78     ierr = MatIncreaseOverlap_MPIBAIJ_Once(C, imax, is); CHKERRQ(ierr);
79   }
80   ierr = MatExpandIndices_MPIBAIJ(C, imax, is); CHKERRQ(ierr);
81   return 0;
82 }
83 
84 /*
85   Sample message format:
86   If a processor A wants processor B to process some elements corresponding
87   to index sets 1s[1], is[5]
88   mesg [0] = 2   ( no of index sets in the mesg)
89   -----------
90   mesg [1] = 1 => is[1]
91   mesg [2] = sizeof(is[1]);
92   -----------
93   mesg [5] = 5  => is[5]
94   mesg [6] = sizeof(is[5]);
95   -----------
96   mesg [7]
97   mesg [n]  datas[1]
98   -----------
99   mesg[n+1]
100   mesg[m]  data(is[5])
101   -----------
102 
103   Notes:
104   nrqs - no of requests sent (or to be sent out)
105   nrqr - no of requests recieved (which have to be or which have been processed
106 */
107 static int MatIncreaseOverlap_MPIBAIJ_Once(Mat C, int imax, IS *is)
108 {
109   Mat_MPIBAIJ  *c = (Mat_MPIBAIJ *) C->data;
110   int         **idx, *n, *w1, *w2, *w3, *w4, *rtable,**data,len,*idx_i;
111   int         size,rank,Mbs,i,j,k,ierr,**rbuf,row,proc,nrqs,msz,**outdat,**ptr;
112   int         *ctr,*pa,tag,*tmp,bsz,nrqr,*isz,*isz1,**xdata,bsz1,**rbuf2;
113   char        **table;
114   MPI_Comm    comm;
115   MPI_Request *s_waits1,*r_waits1,*s_waits2,*r_waits2;
116   MPI_Status  *s_status,*recv_status;
117 
118   comm   = C->comm;
119   tag    = C->tag;
120   size   = c->size;
121   rank   = c->rank;
122   Mbs      = c->Mbs;
123 
124   len    = (imax+1)*sizeof(int *) + (imax + Mbs)*sizeof(int);
125   idx    = (int **) PetscMalloc(len); CHKPTRQ(idx);
126   n      = (int *) (idx + imax);
127   rtable = n + imax;
128 
129   for ( i=0; i<imax; i++ ) {
130     ierr = ISGetIndices(is[i],&idx[i]);  CHKERRQ(ierr);
131     ierr = ISGetSize(is[i],&n[i]);  CHKERRQ(ierr);
132   }
133 
134   /* Create hash table for the mapping :row -> proc*/
135   for ( i=0,j=0; i<size; i++ ) {
136     len = c->rowners[i+1];
137     for ( ; j<len; j++ ) {
138       rtable[j] = i;
139     }
140   }
141 
142   /* evaluate communication - mesg to who, length of mesg, and buffer space
143      required. Based on this, buffers are allocated, and data copied into them*/
144   w1   = (int *)PetscMalloc(size*4*sizeof(int));CHKPTRQ(w1);/*  mesg size */
145   w2   = w1 + size;       /* if w2[i] marked, then a message to proc i*/
146   w3   = w2 + size;       /* no of IS that needs to be sent to proc i */
147   w4   = w3 + size;       /* temp work space used in determining w1, w2, w3 */
148   PetscMemzero(w1,size*3*sizeof(int)); /* initialise work vector*/
149   for ( i=0; i<imax; i++ ) {
150     PetscMemzero(w4,size*sizeof(int)); /* initialise work vector*/
151     idx_i = idx[i];
152     len   = n[i];
153     for ( j=0; j<len; j++ ) {
154       row  = idx_i[j];
155       proc = rtable[row];
156       w4[proc]++;
157     }
158     for ( j=0; j<size; j++ ){
159       if (w4[j]) { w1[j] += w4[j]; w3[j]++;}
160     }
161   }
162 
163   nrqs     = 0;              /* no of outgoing messages */
164   msz      = 0;              /* total mesg length (for all proc */
165   w1[rank] = 0;              /* no mesg sent to intself */
166   w3[rank] = 0;
167   for ( i=0; i<size; i++ ) {
168     if (w1[i])  {w2[i] = 1; nrqs++;} /* there exists a message to proc i */
169   }
170   /* pa - is list of processors to communicate with */
171   pa = (int *)PetscMalloc((nrqs+1)*sizeof(int));CHKPTRQ(pa);
172   for ( i=0,j=0; i<size; i++ ) {
173     if (w1[i]) {pa[j] = i; j++;}
174   }
175 
176   /* Each message would have a header = 1 + 2*(no of IS) + data */
177   for ( i=0; i<nrqs; i++ ) {
178     j      = pa[i];
179     w1[j] += w2[j] + 2*w3[j];
180     msz   += w1[j];
181   }
182 
183 
184   /* Do a global reduction to determine how many messages to expect*/
185   {
186     int *rw1, *rw2;
187     rw1   = (int *) PetscMalloc(2*size*sizeof(int)); CHKPTRQ(rw1);
188     rw2   = rw1+size;
189     MPI_Allreduce(w1, rw1, size, MPI_INT, MPI_MAX, comm);
190     bsz   = rw1[rank];
191     MPI_Allreduce(w2, rw2, size, MPI_INT, MPI_SUM, comm);
192     nrqr  = rw2[rank];
193     PetscFree(rw1);
194   }
195 
196   /* Allocate memory for recv buffers . Prob none if nrqr = 0 ???? */
197   len     = (nrqr+1)*sizeof(int*) + nrqr*bsz*sizeof(int);
198   rbuf    = (int**) PetscMalloc(len);  CHKPTRQ(rbuf);
199   rbuf[0] = (int *) (rbuf + nrqr);
200   for ( i=1; i<nrqr; ++i ) rbuf[i] = rbuf[i-1] + bsz;
201 
202   /* Post the receives */
203   r_waits1 = (MPI_Request *) PetscMalloc((nrqr+1)*sizeof(MPI_Request));
204   CHKPTRQ(r_waits1);
205   for ( i=0; i<nrqr; ++i ){
206     MPI_Irecv(rbuf[i],bsz,MPI_INT,MPI_ANY_SOURCE,tag,comm,r_waits1+i);
207   }
208 
209   /* Allocate Memory for outgoing messages */
210   len    = 2*size*sizeof(int*) + (size+msz)*sizeof(int);
211   outdat = (int **)PetscMalloc(len); CHKPTRQ(outdat);
212   ptr    = outdat + size;     /* Pointers to the data in outgoing buffers */
213   PetscMemzero(outdat,2*size*sizeof(int*));
214   tmp    = (int *) (outdat + 2*size);
215   ctr    = tmp + msz;
216 
217   {
218     int *iptr = tmp,ict  = 0;
219     for ( i=0; i<nrqs; i++ ) {
220       j         = pa[i];
221       iptr     +=  ict;
222       outdat[j] = iptr;
223       ict       = w1[j];
224     }
225   }
226 
227   /* Form the outgoing messages */
228   /*plug in the headers*/
229   for ( i=0; i<nrqs; i++ ) {
230     j            = pa[i];
231     outdat[j][0] = 0;
232     PetscMemzero(outdat[j]+1,2*w3[j]*sizeof(int));
233     ptr[j]       = outdat[j] + 2*w3[j] + 1;
234   }
235 
236   /* Memory for doing local proc's work*/
237   {
238     int  *d_p;
239     char *t_p;
240 
241     len      = (imax+1)*(sizeof(char *) + sizeof(int *) + sizeof(int)) +
242                (Mbs+1)*imax*sizeof(int)  + (Mbs/BITSPERBYTE+1)*imax*sizeof(char);
243     table    = (char **)PetscMalloc(len);  CHKPTRQ(table);
244     data     = (int **)(table + imax);
245     data[0]  = (int *)(data + imax);
246     isz      = data[0] + (Mbs+1)*imax;
247     table[0] = (char *)(isz + imax);
248     d_p = data[0]; t_p = table[0];
249     for ( i=1; i<imax; i++ ) {
250       table[i] = t_p + (Mbs/BITSPERBYTE+1)*i;
251       data[i]  = d_p + (Mbs+1)*i;
252     }
253   }
254   PetscMemzero(*table,(Mbs/BITSPERBYTE+1)*imax);
255   PetscMemzero(isz,imax*sizeof(int));
256 
257   /* Parse the IS and update local tables and the outgoing buf with the data*/
258   {
259     int  n_i,*data_i,isz_i,*outdat_j,ctr_j;
260     char *table_i;
261 
262     for ( i=0; i<imax; i++ ) {
263       PetscMemzero(ctr,size*sizeof(int));
264       n_i     = n[i];
265       table_i = table[i];
266       idx_i   = idx[i];
267       data_i  = data[i];
268       isz_i   = isz[i];
269       for ( j=0;  j<n_i; j++ ) {  /* parse the indices of each IS */
270         row  = idx_i[j];
271         proc = rtable[row];
272         if (proc != rank) { /* copy to the outgoing buffer */
273           ctr[proc]++;
274           *ptr[proc] = row;
275           ptr[proc]++;
276         }
277         else { /* Update the local table */
278           if (!BT_LOOKUP(table_i,row)) { data_i[isz_i++] = row;}
279         }
280       }
281       /* Update the headers for the current IS */
282       for ( j=0; j<size; j++ ) { /* Can Optimise this loop by using pa[] */
283         if ((ctr_j = ctr[j])) {
284           outdat_j        = outdat[j];
285           k               = ++outdat_j[0];
286           outdat_j[2*k]   = ctr_j;
287           outdat_j[2*k-1] = i;
288         }
289       }
290       isz[i] = isz_i;
291     }
292   }
293 
294 
295 
296   /*  Now  post the sends */
297   s_waits1 = (MPI_Request *) PetscMalloc((nrqs+1)*sizeof(MPI_Request));
298   CHKPTRQ(s_waits1);
299   for ( i=0; i<nrqs; ++i ) {
300     j = pa[i];
301     MPI_Isend(outdat[j], w1[j], MPI_INT, j, tag, comm, s_waits1+i);
302   }
303 
304   /* No longer need the original indices*/
305   for ( i=0; i<imax; ++i ) {
306     ierr = ISRestoreIndices(is[i], idx+i); CHKERRQ(ierr);
307   }
308   PetscFree(idx);
309 
310   for ( i=0; i<imax; ++i ) {
311     ierr = ISDestroy(is[i]); CHKERRQ(ierr);
312   }
313 
314   /* Do Local work*/
315   ierr = MatIncreaseOverlap_MPIBAIJ_Local(C,imax,table,isz,data);CHKERRQ(ierr);
316 
317   /* Receive messages*/
318   {
319     int        index;
320 
321     recv_status = (MPI_Status *) PetscMalloc( (nrqr+1)*sizeof(MPI_Status) );
322     CHKPTRQ(recv_status);
323     for ( i=0; i<nrqr; ++i ) {
324       MPI_Waitany(nrqr, r_waits1, &index, recv_status+i);
325     }
326 
327     s_status = (MPI_Status *) PetscMalloc( (nrqs+1)*sizeof(MPI_Status) );
328     CHKPTRQ(s_status);
329     MPI_Waitall(nrqs,s_waits1,s_status);
330   }
331 
332   /* Phase 1 sends are complete - deallocate buffers */
333   PetscFree(outdat);
334   PetscFree(w1);
335 
336   xdata = (int **)PetscMalloc((nrqr+1)*sizeof(int *)); CHKPTRQ(xdata);
337   isz1  = (int *)PetscMalloc((nrqr+1)*sizeof(int)); CHKPTRQ(isz1);
338   ierr  = MatIncreaseOverlap_MPIBAIJ_Receive(C,nrqr,rbuf,xdata,isz1);CHKERRQ(ierr);
339   PetscFree(rbuf);
340 
341   /* Send the data back*/
342   /* Do a global reduction to know the buffer space req for incoming messages*/
343   {
344     int *rw1, *rw2;
345 
346     rw1 = (int *)PetscMalloc(2*size*sizeof(int)); CHKPTRQ(rw1);
347     PetscMemzero(rw1,2*size*sizeof(int));
348     rw2 = rw1+size;
349     for ( i=0; i<nrqr; ++i ) {
350       proc      = recv_status[i].MPI_SOURCE;
351       rw1[proc] = isz1[i];
352     }
353 
354     MPI_Allreduce(rw1, rw2, size, MPI_INT, MPI_MAX, comm);
355     bsz1   = rw2[rank];
356     PetscFree(rw1);
357   }
358 
359   /* Allocate buffers*/
360 
361   /* Allocate memory for recv buffers. Prob none if nrqr = 0 ???? */
362   len      = (nrqs+1)*sizeof(int*) + nrqs*bsz1*sizeof(int);
363   rbuf2    = (int**) PetscMalloc(len);  CHKPTRQ(rbuf2);
364   rbuf2[0] = (int *) (rbuf2 + nrqs);
365   for ( i=1; i<nrqs; ++i ) rbuf2[i] = rbuf2[i-1] + bsz1;
366 
367   /* Post the receives */
368   r_waits2 = (MPI_Request *)PetscMalloc((nrqs+1)*sizeof(MPI_Request));
369   CHKPTRQ(r_waits2);
370   for ( i=0; i<nrqs; ++i ) {
371     MPI_Irecv(rbuf2[i], bsz1, MPI_INT, MPI_ANY_SOURCE, tag, comm, r_waits2+i);
372   }
373 
374   /*  Now  post the sends */
375   s_waits2 = (MPI_Request *) PetscMalloc((nrqr+1)*sizeof(MPI_Request));
376   CHKPTRQ(s_waits2);
377   for ( i=0; i<nrqr; ++i ) {
378     j = recv_status[i].MPI_SOURCE;
379     MPI_Isend( xdata[i], isz1[i], MPI_INT, j, tag, comm, s_waits2+i);
380   }
381 
382   /* receive work done on other processors*/
383   {
384     int         index, is_no, ct1, max,*rbuf2_i,isz_i,*data_i,jmax;
385     char        *table_i;
386     MPI_Status  *status2;
387 
388     status2 = (MPI_Status *) PetscMalloc((nrqs+1)*sizeof(MPI_Status));CHKPTRQ(status2);
389 
390     for ( i=0; i<nrqs; ++i ) {
391       MPI_Waitany(nrqs, r_waits2, &index, status2+i);
392       /* Process the message*/
393       rbuf2_i = rbuf2[index];
394       ct1     = 2*rbuf2_i[0]+1;
395       jmax    = rbuf2[index][0];
396       for ( j=1; j<=jmax; j++ ) {
397         max     = rbuf2_i[2*j];
398         is_no   = rbuf2_i[2*j-1];
399         isz_i   = isz[is_no];
400         data_i  = data[is_no];
401         table_i = table[is_no];
402         for ( k=0; k<max; k++,ct1++ ) {
403           row = rbuf2_i[ct1];
404           if (!BT_LOOKUP(table_i,row)) { data_i[isz_i++] = row;}
405         }
406         isz[is_no] = isz_i;
407       }
408     }
409     MPI_Waitall(nrqr,s_waits2,status2);
410     PetscFree(status2);
411   }
412 
413   for ( i=0; i<imax; ++i ) {
414     ierr = ISCreateSeq(MPI_COMM_SELF, isz[i], data[i], is+i); CHKERRQ(ierr);
415   }
416 
417   PetscFree(pa);
418   PetscFree(rbuf2);
419   PetscFree(s_waits1);
420   PetscFree(r_waits1);
421   PetscFree(s_waits2);
422   PetscFree(r_waits2);
423   PetscFree(table);
424   PetscFree(s_status);
425   PetscFree(recv_status);
426   PetscFree(xdata[0]);
427   PetscFree(xdata);
428   PetscFree(isz1);
429   return 0;
430 }
431 
432 /*
433    MatIncreaseOverlap_MPIBAIJ_Local - Called by MatincreaseOverlap, to do
434        the work on the local processor.
435 
436      Inputs:
437       C      - MAT_MPIBAIJ;
438       imax - total no of index sets processed at a time;
439       table  - an array of char - size = Mbs bits.
440 
441      Output:
442       isz    - array containing the count of the solution elements correspondign
443                to each index set;
444       data   - pointer to the solutions
445 */
446 static int MatIncreaseOverlap_MPIBAIJ_Local(Mat C,int imax,char **table,int *isz,
447                                            int **data)
448 {
449   Mat_MPIBAIJ *c = (Mat_MPIBAIJ *) C->data;
450   Mat        A = c->A, B = c->B;
451   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ*)B->data;
452   int        start, end, val, max, rstart,cstart,*ai, *aj;
453   int        *bi, *bj, *garray, i, j, k, row,*data_i,isz_i;
454   char       *table_i;
455 
456   rstart = c->rstart;
457   cstart = c->cstart;
458   ai     = a->i;
459   aj     = a->j;
460   bi     = b->i;
461   bj     = b->j;
462   garray = c->garray;
463 
464 
465   for ( i=0; i<imax; i++ ) {
466     data_i  = data[i];
467     table_i = table[i];
468     isz_i   = isz[i];
469     for ( j=0, max=isz[i]; j<max; j++ ) {
470       row   = data_i[j] - rstart;
471       start = ai[row];
472       end   = ai[row+1];
473       for ( k=start; k<end; k++ ) { /* Amat */
474         val = aj[k] + cstart;
475         if (!BT_LOOKUP(table_i,val)) { data_i[isz_i++] = val;}
476       }
477       start = bi[row];
478       end   = bi[row+1];
479       for ( k=start; k<end; k++ ) { /* Bmat */
480         val = garray[bj[k]];
481         if (!BT_LOOKUP(table_i,val)) { data_i[isz_i++] = val;}
482       }
483     }
484     isz[i] = isz_i;
485   }
486   return 0;
487 }
488 /*
489       MatIncreaseOverlap_MPIBAIJ_Receive - Process the recieved messages,
490          and return the output
491 
492          Input:
493            C    - the matrix
494            nrqr - no of messages being processed.
495            rbuf - an array of pointers to the recieved requests
496 
497          Output:
498            xdata - array of messages to be sent back
499            isz1  - size of each message
500 
501   For better efficiency perhaps we should malloc seperately each xdata[i],
502 then if a remalloc is required we need only copy the data for that one row
503 rather then all previous rows as it is now where a single large chunck of
504 memory is used.
505 
506 */
507 static int MatIncreaseOverlap_MPIBAIJ_Receive(Mat C,int nrqr,int **rbuf,
508                                             int **xdata, int * isz1)
509 {
510   Mat_MPIBAIJ  *c = (Mat_MPIBAIJ *) C->data;
511   Mat         A = c->A, B = c->B;
512   Mat_SeqBAIJ  *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ*)B->data;
513   int         rstart,cstart,*ai, *aj, *bi, *bj, *garray, i, j, k;
514   int         row,total_sz,ct, ct1, ct2, ct3,mem_estimate, oct2, l, start, end;
515   int         val, max1, max2, rank, Mbs, no_malloc =0, *tmp, new_estimate, ctr;
516   int         *rbuf_i,kmax,rbuf_0;
517   char        *xtable;
518 
519   rank   = c->rank;
520   Mbs      = c->Mbs;
521   rstart = c->rstart;
522   cstart = c->cstart;
523   ai     = a->i;
524   aj     = a->j;
525   bi     = b->i;
526   bj     = b->j;
527   garray = c->garray;
528 
529 
530   for ( i=0,ct=0,total_sz=0; i<nrqr; ++i ) {
531     rbuf_i =  rbuf[i];
532     rbuf_0 =  rbuf_i[0];
533     ct     += rbuf_0;
534     for ( j=1; j<=rbuf_0; j++ ) { total_sz += rbuf_i[2*j]; }
535   }
536 
537   max1         = ct*(a->nz +b->nz)/c->Mbs;
538   mem_estimate =  3*((total_sz > max1 ? total_sz : max1)+1);
539   xdata[0]     = (int *)PetscMalloc(mem_estimate*sizeof(int)); CHKPTRQ(xdata[0]);
540   ++no_malloc;
541   xtable       = (char *)PetscMalloc((Mbs/BITSPERBYTE+1)*sizeof(char)); CHKPTRQ(xtable);
542   PetscMemzero(isz1,nrqr*sizeof(int));
543 
544   ct3 = 0;
545   for ( i=0; i<nrqr; i++ ) { /* for easch mesg from proc i */
546     rbuf_i =  rbuf[i];
547     rbuf_0 =  rbuf_i[0];
548     ct1    =  2*rbuf_0+1;
549     ct2    =  ct1;
550     ct3    += ct1;
551     for ( j=1; j<=rbuf_0; j++ ) { /* for each IS from proc i*/
552       PetscMemzero(xtable,(Mbs/BITSPERBYTE+1)*sizeof(char));
553       oct2 = ct2;
554       kmax = rbuf_i[2*j];
555       for ( k=0; k<kmax; k++, ct1++ ) {
556         row = rbuf_i[ct1];
557         if (!BT_LOOKUP(xtable,row)) {
558           if (!(ct3 < mem_estimate)) {
559             new_estimate = (int)(1.5*mem_estimate)+1;
560             tmp          = (int*) PetscMalloc(new_estimate * sizeof(int));CHKPTRQ(tmp);
561             PetscMemcpy(tmp,xdata[0],mem_estimate*sizeof(int));
562             PetscFree(xdata[0]);
563             xdata[0]     = tmp;
564             mem_estimate = new_estimate; ++no_malloc;
565             for ( ctr=1; ctr<=i; ctr++ ) { xdata[ctr] = xdata[ctr-1] + isz1[ctr-1];}
566           }
567           xdata[i][ct2++] = row;
568           ct3++;
569         }
570       }
571       for ( k=oct2,max2=ct2; k<max2; k++ ) {
572         row   = xdata[i][k] - rstart;
573         start = ai[row];
574         end   = ai[row+1];
575         for ( l=start; l<end; l++ ) {
576           val = aj[l] + cstart;
577           if (!BT_LOOKUP(xtable,val)) {
578             if (!(ct3 < mem_estimate)) {
579               new_estimate = (int)(1.5*mem_estimate)+1;
580               tmp          = (int*) PetscMalloc(new_estimate * sizeof(int));CHKPTRQ(tmp);
581               PetscMemcpy(tmp,xdata[0],mem_estimate*sizeof(int));
582               PetscFree(xdata[0]);
583               xdata[0]     = tmp;
584               mem_estimate = new_estimate; ++no_malloc;
585               for ( ctr=1; ctr<=i; ctr++ ) { xdata[ctr] = xdata[ctr-1] + isz1[ctr-1];}
586             }
587             xdata[i][ct2++] = val;
588             ct3++;
589           }
590         }
591         start = bi[row];
592         end   = bi[row+1];
593         for ( l=start; l<end; l++ ) {
594           val = garray[bj[l]];
595           if (!BT_LOOKUP(xtable,val)) {
596             if (!(ct3 < mem_estimate)) {
597               new_estimate = (int)(1.5*mem_estimate)+1;
598               tmp          = (int*) PetscMalloc(new_estimate * sizeof(int));CHKPTRQ(tmp);
599               PetscMemcpy(tmp,xdata[0],mem_estimate*sizeof(int));
600               PetscFree(xdata[0]);
601               xdata[0]     = tmp;
602               mem_estimate = new_estimate; ++no_malloc;
603               for ( ctr =1; ctr <=i; ctr++ ) { xdata[ctr] = xdata[ctr-1] + isz1[ctr-1];}
604             }
605             xdata[i][ct2++] = val;
606             ct3++;
607           }
608         }
609       }
610       /* Update the header*/
611       xdata[i][2*j]   = ct2 - oct2; /* Undo the vector isz1 and use only a var*/
612       xdata[i][2*j-1] = rbuf_i[2*j-1];
613     }
614     xdata[i][0] = rbuf_0;
615     xdata[i+1]  = xdata[i] + ct2;
616     isz1[i]     = ct2; /* size of each message */
617   }
618   PetscFree(xtable);
619   PLogInfo(0,"MatIncreaseOverlap_MPIBAIJ:[%d] Allocated %d bytes, required %d bytes, no of mallocs = %d\n",rank,mem_estimate, ct3,no_malloc);
620   return 0;
621 }
622 
623 /* -------------------------------------------------------------------------*/
624 int MatGetSubMatrices_MPIBAIJ(Mat C,int ismax,IS *isrow,IS *iscol,
625                              MatGetSubMatrixCall scall,Mat **submat)
626 {
627   Mat_MPIBAIJ  *c = (Mat_MPIBAIJ *) C->data;
628   Mat         A = c->A,*submats = *submat;
629   Mat_SeqBAIJ  *a = (Mat_SeqBAIJ*)A->data, *b = (Mat_SeqBAIJ*)c->B->data, *mat;
630   int         **irow,**icol,*nrow,*ncol,*w1,*w2,*w3,*w4,*rtable,start,end,size;
631   int         **sbuf1,**sbuf2, rank, m,i,j,k,l,ct1,ct2,ierr, **rbuf1,row,proc;
632   int         nrqs, msz, **ptr,index,*req_size,*ctr,*pa,tag,*tmp,tcol,bsz,nrqr;
633   int         **rbuf3,*req_source,**sbuf_aj, **rbuf2, max1,max2,**rmap;
634   int         **cmap,**lens,is_no,ncols,*cols,mat_i,*mat_j,tmp2,jmax,*irow_i;
635   int         len,ctr_j,*sbuf1_j,*sbuf_aj_i,*rbuf1_i,kmax,*cmap_i,*lens_i;
636   int         *rmap_i;
637   MPI_Request *s_waits1,*r_waits1,*s_waits2,*r_waits2,*r_waits3;
638   MPI_Request *r_waits4,*s_waits3,*s_waits4;
639   MPI_Status  *r_status1,*r_status2,*s_status1,*s_status3,*s_status2;
640   MPI_Status  *r_status3,*r_status4,*s_status4;
641   MPI_Comm    comm;
642   Scalar      **rbuf4, **sbuf_aa, *vals, *mat_a, *sbuf_aa_i;
643 
644   comm   = C->comm;
645   tag    = C->tag;
646   size   = c->size;
647   rank   = c->rank;
648   m      = c->M;
649 
650     /* Check if the col indices are sorted */
651   for ( i=0; i<ismax; i++ ) {
652     ierr = ISSorted(iscol[i],(PetscTruth*)&j);
653     if (!j) SETERRQ(1,"MatGetSubmatrices_MPIBAIJ:IS is not sorted");
654   }
655 
656   len    = (2*ismax+1)*(sizeof(int *) + sizeof(int)) + (m+1)*sizeof(int);
657   irow   = (int **)PetscMalloc(len); CHKPTRQ(irow);
658   icol   = irow + ismax;
659   nrow   = (int *) (icol + ismax);
660   ncol   = nrow + ismax;
661   rtable = ncol + ismax;
662 
663   for ( i=0; i<ismax; i++ ) {
664     ierr = ISGetIndices(isrow[i],&irow[i]);  CHKERRQ(ierr);
665     ierr = ISGetIndices(iscol[i],&icol[i]);  CHKERRQ(ierr);
666     ierr = ISGetSize(isrow[i],&nrow[i]);  CHKERRQ(ierr);
667     ierr = ISGetSize(iscol[i],&ncol[i]);  CHKERRQ(ierr);
668   }
669 
670   /* Create hash table for the mapping :row -> proc*/
671   for ( i=0,j=0; i<size; i++ ) {
672     jmax = c->rowners[i+1];
673     for ( ; j<jmax; j++ ) {
674       rtable[j] = i;
675     }
676   }
677 
678   /* evaluate communication - mesg to who, length of mesg, and buffer space
679      required. Based on this, buffers are allocated, and data copied into them*/
680   w1     = (int *)PetscMalloc(size*4*sizeof(int));CHKPTRQ(w1); /* mesg size */
681   w2     = w1 + size;      /* if w2[i] marked, then a message to proc i*/
682   w3     = w2 + size;      /* no of IS that needs to be sent to proc i */
683   w4     = w3 + size;      /* temp work space used in determining w1, w2, w3 */
684   PetscMemzero(w1,size*3*sizeof(int)); /* initialise work vector*/
685   for ( i=0; i<ismax; i++ ) {
686     PetscMemzero(w4,size*sizeof(int)); /* initialise work vector*/
687     jmax   = nrow[i];
688     irow_i = irow[i];
689     for ( j=0; j<jmax; j++ ) {
690       row  = irow_i[j];
691       proc = rtable[row];
692       w4[proc]++;
693     }
694     for ( j=0; j<size; j++ ) {
695       if (w4[j]) { w1[j] += w4[j];  w3[j]++;}
696     }
697   }
698 
699   nrqs     = 0;              /* no of outgoing messages */
700   msz      = 0;              /* total mesg length (for all proc */
701   w1[rank] = 0;              /* no mesg sent to intself */
702   w3[rank] = 0;
703   for ( i=0; i<size; i++ ) {
704     if (w1[i])  { w2[i] = 1; nrqs++;} /* there exists a message to proc i */
705   }
706   pa = (int *)PetscMalloc((nrqs+1)*sizeof(int));CHKPTRQ(pa); /*(proc -array)*/
707   for ( i=0, j=0; i<size; i++ ) {
708     if (w1[i]) { pa[j] = i; j++; }
709   }
710 
711   /* Each message would have a header = 1 + 2*(no of IS) + data */
712   for ( i=0; i<nrqs; i++ ) {
713     j     = pa[i];
714     w1[j] += w2[j] + 2* w3[j];
715     msz   += w1[j];
716   }
717   /* Do a global reduction to determine how many messages to expect*/
718   {
719     int *rw1, *rw2;
720     rw1 = (int *)PetscMalloc(2*size*sizeof(int)); CHKPTRQ(rw1);
721     rw2 = rw1+size;
722     MPI_Allreduce(w1, rw1, size, MPI_INT, MPI_MAX, comm);
723     bsz   = rw1[rank];
724     MPI_Allreduce(w2, rw2, size, MPI_INT, MPI_SUM, comm);
725     nrqr  = rw2[rank];
726     PetscFree(rw1);
727   }
728 
729   /* Allocate memory for recv buffers . Prob none if nrqr = 0 ???? */
730   len      = (nrqr+1)*sizeof(int*) + nrqr*bsz*sizeof(int);
731   rbuf1    = (int**) PetscMalloc(len);  CHKPTRQ(rbuf1);
732   rbuf1[0] = (int *) (rbuf1 + nrqr);
733   for ( i=1; i<nrqr; ++i ) rbuf1[i] = rbuf1[i-1] + bsz;
734 
735   /* Post the receives */
736   r_waits1 = (MPI_Request *) PetscMalloc((nrqr+1)*sizeof(MPI_Request));
737   CHKPTRQ(r_waits1);
738   for ( i=0; i<nrqr; ++i ) {
739     MPI_Irecv(rbuf1[i],bsz,MPI_INT,MPI_ANY_SOURCE,tag,comm,r_waits1+i);
740   }
741 
742   /* Allocate Memory for outgoing messages */
743   len      = 2*size*sizeof(int*) + 2*msz*sizeof(int) + size*sizeof(int);
744   sbuf1    = (int **)PetscMalloc(len); CHKPTRQ(sbuf1);
745   ptr      = sbuf1 + size;   /* Pointers to the data in outgoing buffers */
746   PetscMemzero(sbuf1,2*size*sizeof(int*));
747   /* allocate memory for outgoing data + buf to receive the first reply */
748   tmp      = (int *) (ptr + size);
749   ctr      = tmp + 2*msz;
750 
751   {
752     int *iptr = tmp,ict = 0;
753     for ( i=0; i<nrqs; i++ ) {
754       j         = pa[i];
755       iptr     += ict;
756       sbuf1[j]  = iptr;
757       ict       = w1[j];
758     }
759   }
760 
761   /* Form the outgoing messages */
762   /* Initialise the header space */
763   for ( i=0; i<nrqs; i++ ) {
764     j           = pa[i];
765     sbuf1[j][0] = 0;
766     PetscMemzero(sbuf1[j]+1, 2*w3[j]*sizeof(int));
767     ptr[j]      = sbuf1[j] + 2*w3[j] + 1;
768   }
769 
770   /* Parse the isrow and copy data into outbuf */
771   for ( i=0; i<ismax; i++ ) {
772     PetscMemzero(ctr,size*sizeof(int));
773     irow_i = irow[i];
774     jmax   = nrow[i];
775     for ( j=0; j<jmax; j++ ) {  /* parse the indices of each IS */
776       row  = irow_i[j];
777       proc = rtable[row];
778       if (proc != rank) { /* copy to the outgoing buf*/
779         ctr[proc]++;
780         *ptr[proc] = row;
781         ptr[proc]++;
782       }
783     }
784     /* Update the headers for the current IS */
785     for ( j=0; j<size; j++ ) { /* Can Optimise this loop too */
786       if ((ctr_j = ctr[j])) {
787         sbuf1_j        = sbuf1[j];
788         k              = ++sbuf1_j[0];
789         sbuf1_j[2*k]   = ctr_j;
790         sbuf1_j[2*k-1] = i;
791       }
792     }
793   }
794 
795   /*  Now  post the sends */
796   s_waits1 = (MPI_Request *) PetscMalloc((nrqs+1)*sizeof(MPI_Request));
797   CHKPTRQ(s_waits1);
798   for ( i=0; i<nrqs; ++i ) {
799     j = pa[i];
800     /* printf("[%d] Send Req to %d: size %d \n", rank,j, w1[j]); */
801     MPI_Isend( sbuf1[j], w1[j], MPI_INT, j, tag, comm, s_waits1+i);
802   }
803 
804   /* Post Recieves to capture the buffer size */
805   r_waits2 = (MPI_Request *) PetscMalloc((nrqs+1)*sizeof(MPI_Request));
806   CHKPTRQ(r_waits2);
807   rbuf2    = (int**)PetscMalloc((nrqs+1)*sizeof(int *));CHKPTRQ(rbuf2);
808   rbuf2[0] = tmp + msz;
809   for ( i=1; i<nrqs; ++i ) {
810     j        = pa[i];
811     rbuf2[i] = rbuf2[i-1]+w1[pa[i-1]];
812   }
813   for ( i=0; i<nrqs; ++i ) {
814     j = pa[i];
815     MPI_Irecv( rbuf2[i], w1[j], MPI_INT, j, tag+1, comm, r_waits2+i);
816   }
817 
818   /* Send to other procs the buf size they should allocate */
819 
820 
821   /* Receive messages*/
822   s_waits2  = (MPI_Request *) PetscMalloc((nrqr+1)*sizeof(MPI_Request));
823   CHKPTRQ(s_waits2);
824   r_status1 = (MPI_Status *) PetscMalloc((nrqr+1)*sizeof(MPI_Status));
825   CHKPTRQ(r_status1);
826   len         = 2*nrqr*sizeof(int) + (nrqr+1)*sizeof(int*);
827   sbuf2       = (int**) PetscMalloc(len);CHKPTRQ(sbuf2);
828   req_size    = (int *) (sbuf2 + nrqr);
829   req_source  = req_size + nrqr;
830 
831   {
832     Mat_SeqBAIJ *sA = (Mat_SeqBAIJ*) c->A->data, *sB = (Mat_SeqBAIJ*) c->B->data;
833     int        *sAi = sA->i, *sBi = sB->i, id, rstart = c->rstart;
834     int        *sbuf2_i;
835 
836     for ( i=0; i<nrqr; ++i ) {
837       MPI_Waitany(nrqr, r_waits1, &index, r_status1+i);
838       req_size[index] = 0;
839       rbuf1_i         = rbuf1[index];
840       start           = 2*rbuf1_i[0] + 1;
841       MPI_Get_count(r_status1+i,MPI_INT, &end);
842       sbuf2[index] = (int *)PetscMalloc(end*sizeof(int));CHKPTRQ(sbuf2[index]);
843       sbuf2_i      = sbuf2[index];
844       for ( j=start; j<end; j++ ) {
845         id               = rbuf1_i[j] - rstart;
846         ncols            = sAi[id+1] - sAi[id] + sBi[id+1] - sBi[id];
847         sbuf2_i[j]       = ncols;
848         req_size[index] += ncols;
849       }
850       req_source[index] = r_status1[i].MPI_SOURCE;
851       /* form the header */
852       sbuf2_i[0]   = req_size[index];
853       for ( j=1; j<start; j++ ) { sbuf2_i[j] = rbuf1_i[j]; }
854       MPI_Isend(sbuf2_i,end,MPI_INT,req_source[index],tag+1,comm,s_waits2+i);
855     }
856   }
857   PetscFree(r_status1); PetscFree(r_waits1);
858 
859   /*  recv buffer sizes */
860   /* Receive messages*/
861 
862   rbuf3    = (int**)PetscMalloc((nrqs+1)*sizeof(int*)); CHKPTRQ(rbuf3);
863   rbuf4    = (Scalar**)PetscMalloc((nrqs+1)*sizeof(Scalar*));CHKPTRQ(rbuf4);
864   r_waits3 = (MPI_Request *) PetscMalloc((nrqs+1)*sizeof(MPI_Request));
865   CHKPTRQ(r_waits3);
866   r_waits4 = (MPI_Request *) PetscMalloc((nrqs+1)*sizeof(MPI_Request));
867   CHKPTRQ(r_waits4);
868   r_status2 = (MPI_Status *) PetscMalloc( (nrqs+1)*sizeof(MPI_Status) );
869   CHKPTRQ(r_status2);
870 
871   for ( i=0; i<nrqs; ++i ) {
872     MPI_Waitany(nrqs, r_waits2, &index, r_status2+i);
873     rbuf3[index] = (int *)PetscMalloc(rbuf2[index][0]*sizeof(int));
874     CHKPTRQ(rbuf3[index]);
875     rbuf4[index] = (Scalar *)PetscMalloc(rbuf2[index][0]*sizeof(Scalar));
876     CHKPTRQ(rbuf4[index]);
877     MPI_Irecv(rbuf3[index],rbuf2[index][0], MPI_INT,
878               r_status2[i].MPI_SOURCE, tag+2, comm, r_waits3+index);
879     MPI_Irecv(rbuf4[index],rbuf2[index][0], MPIU_SCALAR,
880               r_status2[i].MPI_SOURCE, tag+3, comm, r_waits4+index);
881   }
882   PetscFree(r_status2); PetscFree(r_waits2);
883 
884   /* Wait on sends1 and sends2 */
885   s_status1 = (MPI_Status *) PetscMalloc((nrqs+1)*sizeof(MPI_Status));
886   CHKPTRQ(s_status1);
887   s_status2 = (MPI_Status *) PetscMalloc((nrqr+1)*sizeof(MPI_Status));
888   CHKPTRQ(s_status2);
889 
890   MPI_Waitall(nrqs,s_waits1,s_status1);
891   MPI_Waitall(nrqr,s_waits2,s_status2);
892   PetscFree(s_status1); PetscFree(s_status2);
893   PetscFree(s_waits1); PetscFree(s_waits2);
894 
895   /* Now allocate buffers for a->j, and send them off */
896   sbuf_aj = (int **)PetscMalloc((nrqr+1)*sizeof(int *));CHKPTRQ(sbuf_aj);
897   for ( i=0,j=0; i<nrqr; i++ ) j += req_size[i];
898   sbuf_aj[0] = (int*) PetscMalloc((j+1)*sizeof(int)); CHKPTRQ(sbuf_aj[0]);
899   for ( i=1; i<nrqr; i++ )  sbuf_aj[i] = sbuf_aj[i-1] + req_size[i-1];
900 
901   s_waits3 = (MPI_Request *) PetscMalloc((nrqr+1)*sizeof(MPI_Request));
902   CHKPTRQ(s_waits3);
903   {
904     int nzA, nzB, *a_i = a->i, *b_i = b->i, imark;
905     int *cworkA, *cworkB, cstart = c->cstart, *bmap = c->garray;
906     int *a_j = a->j, *b_j = b->j,ctmp;
907 
908     for ( i=0; i<nrqr; i++ ) {
909       rbuf1_i   = rbuf1[i];
910       sbuf_aj_i = sbuf_aj[i];
911       ct1       = 2*rbuf1_i[0] + 1;
912       ct2       = 0;
913       for ( j=1,max1=rbuf1_i[0]; j<=max1; j++ ) {
914         kmax = rbuf1[i][2*j];
915         for ( k=0; k<kmax; k++,ct1++ ) {
916           row    = rbuf1_i[ct1] - cstart;
917           nzA    = a_i[row+1] - a_i[row];     nzB = b_i[row+1] - b_i[row];
918           ncols  = nzA + nzB;
919           cworkA = a_j + a_i[row]; cworkB = b_j + b_i[row];
920 
921           /* load the column indices for this row into cols*/
922           cols  = sbuf_aj_i + ct2;
923           for ( l=0; l<nzB; l++ ) {
924             if ((ctmp = bmap[cworkB[l]]) < cstart)  cols[l] = ctmp;
925             else break;
926           }
927           imark = l;
928           for ( l=0; l<nzA; l++ )   cols[imark+l] = cstart + cworkA[l];
929           for ( l=imark; l<nzB; l++ ) cols[nzA+l] = bmap[cworkB[l]];
930           ct2 += ncols;
931         }
932       }
933       MPI_Isend(sbuf_aj_i,req_size[i],MPI_INT,req_source[i],tag+2,comm,s_waits3+i);
934     }
935   }
936   r_status3 = (MPI_Status *) PetscMalloc((nrqs+1)*sizeof(MPI_Status));
937   CHKPTRQ(r_status3);
938   s_status3 = (MPI_Status *) PetscMalloc((nrqr+1)*sizeof(MPI_Status));
939   CHKPTRQ(s_status3);
940 
941   /* Allocate buffers for a->a, and send them off */
942   sbuf_aa = (Scalar **)PetscMalloc((nrqr+1)*sizeof(Scalar *));CHKPTRQ(sbuf_aa);
943   for ( i=0,j=0; i<nrqr; i++ ) j += req_size[i];
944   sbuf_aa[0] = (Scalar*) PetscMalloc((j+1)*sizeof(Scalar));CHKPTRQ(sbuf_aa[0]);
945   for ( i=1; i<nrqr; i++ )  sbuf_aa[i] = sbuf_aa[i-1] + req_size[i-1];
946 
947   s_waits4 = (MPI_Request *) PetscMalloc((nrqr+1)*sizeof(MPI_Request));
948   CHKPTRQ(s_waits4);
949   {
950     int    nzA, nzB, *a_i = a->i, *b_i = b->i, imark;
951     int    *cworkA, *cworkB, cstart = c->cstart, *bmap = c->garray;
952     int    *a_j = a->j, *b_j = b->j;
953     Scalar *vworkA, *vworkB, *a_a = a->a, *b_a = b->a;
954 
955     for ( i=0; i<nrqr; i++ ) {
956       rbuf1_i   = rbuf1[i];
957       sbuf_aa_i = sbuf_aa[i];
958       ct1       = 2*rbuf1_i[0]+1;
959       ct2       = 0;
960       for ( j=1,max1=rbuf1_i[0]; j<=max1; j++ ) {
961         kmax = rbuf1_i[2*j];
962         for ( k=0; k<kmax; k++,ct1++ ) {
963           row    = rbuf1_i[ct1] - cstart;
964           nzA    = a_i[row+1] - a_i[row];     nzB = b_i[row+1] - b_i[row];
965           ncols  = nzA + nzB;
966           cworkA = a_j + a_i[row]; cworkB = b_j + b_i[row];
967           vworkA = a_a + a_i[row]; vworkB = b_a + b_i[row];
968 
969           /* load the column values for this row into vals*/
970           vals  = sbuf_aa_i+ct2;
971           for ( l=0; l<nzB; l++ ) {
972             if ((bmap[cworkB[l]]) < cstart)  vals[l] = vworkB[l];
973             else break;
974           }
975           imark = l;
976           for ( l=0; l<nzA; l++ )   vals[imark+l] = vworkA[l];
977           for ( l=imark; l<nzB; l++ ) vals[nzA+l] = vworkB[l];
978           ct2 += ncols;
979         }
980       }
981       MPI_Isend(sbuf_aa_i,req_size[i],MPIU_SCALAR,req_source[i],tag+3,comm,s_waits4+i);
982     }
983   }
984   r_status4 = (MPI_Status *) PetscMalloc((nrqs+1)*sizeof(MPI_Status));
985   CHKPTRQ(r_status4);
986   s_status4 = (MPI_Status *) PetscMalloc((nrqr+1)*sizeof(MPI_Status));
987   CHKPTRQ(s_status4);
988   PetscFree(rbuf1);
989 
990   /* Form the matrix */
991   /* create col map */
992   {
993     int *icol_i;
994 
995     len     = (1+ismax)*sizeof(int *) + ismax*c->N*sizeof(int);
996     cmap    = (int **)PetscMalloc(len); CHKPTRQ(cmap);
997     cmap[0] = (int *)(cmap + ismax);
998     PetscMemzero(cmap[0],(1+ismax*c->N)*sizeof(int));
999     for ( i=1; i<ismax; i++ ) { cmap[i] = cmap[i-1] + c->N; }
1000     for ( i=0; i<ismax; i++ ) {
1001       jmax   = ncol[i];
1002       icol_i = icol[i];
1003       cmap_i = cmap[i];
1004       for ( j=0; j<jmax; j++ ) {
1005         cmap_i[icol_i[j]] = j+1;
1006       }
1007     }
1008   }
1009 
1010 
1011   /* Create lens which is required for MatCreate... */
1012   for ( i=0,j=0; i<ismax; i++ ) { j += nrow[i]; }
1013   len     = (1+ismax)*sizeof(int *) + j*sizeof(int);
1014   lens    = (int **)PetscMalloc(len); CHKPTRQ(lens);
1015   lens[0] = (int *)(lens + ismax);
1016   PetscMemzero(lens[0], j*sizeof(int));
1017   for ( i=1; i<ismax; i++ ) { lens[i] = lens[i-1] + nrow[i-1]; }
1018 
1019   /* Update lens from local data */
1020   for ( i=0; i<ismax; i++ ) {
1021     jmax   = nrow[i];
1022     cmap_i = cmap[i];
1023     irow_i = irow[i];
1024     lens_i = lens[i];
1025     for ( j=0; j<jmax; j++ ) {
1026       row  = irow_i[j];
1027       proc = rtable[row];
1028       if (proc == rank) {
1029         ierr = MatGetRow_MPIBAIJ(C,row,&ncols,&cols,0); CHKERRQ(ierr);
1030         for ( k=0; k<ncols; k++ ) {
1031           if (cmap_i[cols[k]]) { lens_i[j]++;}
1032         }
1033         ierr = MatRestoreRow_MPIBAIJ(C,row,&ncols,&cols,0); CHKERRQ(ierr);
1034       }
1035     }
1036   }
1037 
1038   /* Create row map*/
1039   len     = (1+ismax)*sizeof(int *) + ismax*c->M*sizeof(int);
1040   rmap    = (int **)PetscMalloc(len); CHKPTRQ(rmap);
1041   rmap[0] = (int *)(rmap + ismax);
1042   PetscMemzero(rmap[0],ismax*c->M*sizeof(int));
1043   for ( i=1; i<ismax; i++ ) { rmap[i] = rmap[i-1] + c->M;}
1044   for ( i=0; i<ismax; i++ ) {
1045     rmap_i = rmap[i];
1046     irow_i = irow[i];
1047     jmax   = nrow[i];
1048     for ( j=0; j<jmax; j++ ) {
1049       rmap_i[irow_i[j]] = j;
1050     }
1051   }
1052 
1053   /* Update lens from offproc data */
1054   {
1055     int *rbuf2_i, *rbuf3_i, *sbuf1_i;
1056 
1057     for ( tmp2=0; tmp2<nrqs; tmp2++ ) {
1058       MPI_Waitany(nrqs, r_waits3, &i, r_status3+tmp2);
1059       index   = pa[i];
1060       sbuf1_i = sbuf1[index];
1061       jmax    = sbuf1_i[0];
1062       ct1     = 2*jmax+1;
1063       ct2     = 0;
1064       rbuf2_i = rbuf2[i];
1065       rbuf3_i = rbuf3[i];
1066       for ( j=1; j<=jmax; j++ ) {
1067         is_no   = sbuf1_i[2*j-1];
1068         max1    = sbuf1_i[2*j];
1069         lens_i  = lens[is_no];
1070         cmap_i  = cmap[is_no];
1071         rmap_i  = rmap[is_no];
1072         for ( k=0; k<max1; k++,ct1++ ) {
1073           row  = rmap_i[sbuf1_i[ct1]]; /* the val in the new matrix to be */
1074           max2 = rbuf2_i[ct1];
1075           for ( l=0; l<max2; l++,ct2++ ) {
1076             if (cmap_i[rbuf3_i[ct2]]) {
1077               lens_i[row]++;
1078             }
1079           }
1080         }
1081       }
1082     }
1083   }
1084   PetscFree(r_status3); PetscFree(r_waits3);
1085   MPI_Waitall(nrqr,s_waits3,s_status3);
1086   PetscFree(s_status3); PetscFree(s_waits3);
1087 
1088   /* Create the submatrices */
1089   if (scall == MAT_REUSE_MATRIX) {
1090     /*
1091         Assumes new rows are same length as the old rows, hence bug!
1092     */
1093     for ( i=0; i<ismax; i++ ) {
1094       mat = (Mat_SeqBAIJ *)(submats[i]->data);
1095       if ((mat->m != nrow[i]) || (mat->n != ncol[i])) {
1096         SETERRQ(1,"MatGetSubmatrices_MPIBAIJ:Cannot reuse matrix. wrong size");
1097       }
1098       if (PetscMemcmp(mat->ilen,lens[i], mat->m *sizeof(int))) {
1099         SETERRQ(1,"MatGetSubmatrices_MPIBAIJ:Cannot reuse matrix. wrong no of nonzeros");
1100       }
1101       /* Initial matrix as if empty */
1102       PetscMemzero(mat->ilen,mat->m*sizeof(int));
1103     }
1104   }
1105   else {
1106     *submat = submats = (Mat *)PetscMalloc(ismax*sizeof(Mat)); CHKPTRQ(submats);
1107     for ( i=0; i<ismax; i++ ) {
1108       ierr = MatCreateSeqBAIJ(comm,a->bs,nrow[i],ncol[i],0,lens[i],submats+i);CHKERRQ(ierr);
1109     }
1110   }
1111 
1112   /* Assemble the matrices */
1113   /* First assemble the local rows */
1114   {
1115     int    ilen_row,*imat_ilen, *imat_j, *imat_i,old_row;
1116     Scalar *imat_a;
1117 
1118     for ( i=0; i<ismax; i++ ) {
1119       mat       = (Mat_SeqBAIJ *) submats[i]->data;
1120       imat_ilen = mat->ilen;
1121       imat_j    = mat->j;
1122       imat_i    = mat->i;
1123       imat_a    = mat->a;
1124       cmap_i    = cmap[i];
1125       rmap_i    = rmap[i];
1126       irow_i    = irow[i];
1127       jmax      = nrow[i];
1128       for ( j=0; j<jmax; j++ ) {
1129         row      = irow_i[j];
1130         proc     = rtable[row];
1131         if (proc == rank) {
1132           old_row  = row;
1133           row      = rmap_i[row];
1134           ilen_row = imat_ilen[row];
1135           ierr     = MatGetRow_MPIBAIJ(C,old_row,&ncols,&cols,&vals); CHKERRQ(ierr);
1136           mat_i    = imat_i[row];
1137           mat_a    = imat_a + mat_i;
1138           mat_j    = imat_j + mat_i;
1139           for ( k=0; k<ncols; k++ ) {
1140             if ((tcol = cmap_i[cols[k]])) {
1141               *mat_j++ = tcol - 1;
1142               *mat_a++ = vals[k];
1143               ilen_row++;
1144             }
1145           }
1146           ierr = MatRestoreRow_MPIBAIJ(C,old_row,&ncols,&cols,&vals); CHKERRQ(ierr);
1147           imat_ilen[row] = ilen_row;
1148         }
1149 
1150       }
1151     }
1152   }
1153 
1154   /*   Now assemble the off proc rows*/
1155   {
1156     int    *sbuf1_i,*rbuf2_i,*rbuf3_i,*imat_ilen,ilen;
1157     int    *imat_j,*imat_i;
1158     Scalar *imat_a,*rbuf4_i;
1159 
1160     for ( tmp2=0; tmp2<nrqs; tmp2++ ) {
1161       MPI_Waitany(nrqs, r_waits4, &i, r_status4+tmp2);
1162       index   = pa[i];
1163       sbuf1_i = sbuf1[index];
1164       jmax    = sbuf1_i[0];
1165       ct1     = 2*jmax + 1;
1166       ct2     = 0;
1167       rbuf2_i = rbuf2[i];
1168       rbuf3_i = rbuf3[i];
1169       rbuf4_i = rbuf4[i];
1170       for ( j=1; j<=jmax; j++ ) {
1171         is_no     = sbuf1_i[2*j-1];
1172         rmap_i    = rmap[is_no];
1173         cmap_i    = cmap[is_no];
1174         mat       = (Mat_SeqBAIJ *) submats[is_no]->data;
1175         imat_ilen = mat->ilen;
1176         imat_j    = mat->j;
1177         imat_i    = mat->i;
1178         imat_a    = mat->a;
1179         max1      = sbuf1_i[2*j];
1180         for ( k=0; k<max1; k++, ct1++ ) {
1181           row   = sbuf1_i[ct1];
1182           row   = rmap_i[row];
1183           ilen  = imat_ilen[row];
1184           mat_i = imat_i[row];
1185           mat_a = imat_a + mat_i;
1186           mat_j = imat_j + mat_i;
1187           max2 = rbuf2_i[ct1];
1188           for ( l=0; l<max2; l++,ct2++ ) {
1189             if ((tcol = cmap_i[rbuf3_i[ct2]])) {
1190               *mat_j++ = tcol - 1;
1191               *mat_a++ = rbuf4_i[ct2];
1192               ilen++;
1193             }
1194           }
1195           imat_ilen[row] = ilen;
1196         }
1197       }
1198     }
1199   }
1200   PetscFree(r_status4); PetscFree(r_waits4);
1201   MPI_Waitall(nrqr,s_waits4,s_status4);
1202   PetscFree(s_waits4); PetscFree(s_status4);
1203 
1204   /* Restore the indices */
1205   for ( i=0; i<ismax; i++ ) {
1206     ierr = ISRestoreIndices(isrow[i], irow+i); CHKERRQ(ierr);
1207     ierr = ISRestoreIndices(iscol[i], icol+i); CHKERRQ(ierr);
1208   }
1209 
1210   /* Destroy allocated memory */
1211   PetscFree(irow);
1212   PetscFree(w1);
1213   PetscFree(pa);
1214 
1215   PetscFree(sbuf1);
1216   PetscFree(rbuf2);
1217   for ( i=0; i<nrqr; ++i ) {
1218     PetscFree(sbuf2[i]);
1219   }
1220   for ( i=0; i<nrqs; ++i ) {
1221     PetscFree(rbuf3[i]);
1222     PetscFree(rbuf4[i]);
1223   }
1224 
1225   PetscFree(sbuf2);
1226   PetscFree(rbuf3);
1227   PetscFree(rbuf4 );
1228   PetscFree(sbuf_aj[0]);
1229   PetscFree(sbuf_aj);
1230   PetscFree(sbuf_aa[0]);
1231   PetscFree(sbuf_aa);
1232 
1233   PetscFree(cmap);
1234   PetscFree(rmap);
1235   PetscFree(lens);
1236 
1237   for ( i=0; i<ismax; i++ ) {
1238     ierr = MatAssemblyBegin(submats[i], FINAL_ASSEMBLY); CHKERRQ(ierr);
1239     ierr = MatAssemblyEnd(submats[i], FINAL_ASSEMBLY); CHKERRQ(ierr);
1240   }
1241 
1242   return 0;
1243 }
1244