xref: /petsc/src/mat/impls/baij/mpi/baijov.c (revision 7ebde36f02850677233f43bcff56534e1869a5ef)
1 #ifndef lint
2 static char vcid[] = "$Id: baijov.c,v 1.6 1996/07/09 22:50:34 balay Exp balay $";
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_in, IS *is_out)
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_in[i],&idx);  CHKERRQ(ierr);
31     ierr = ISGetSize(is_in[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_in[i],&idx);  CHKERRQ(ierr);
38     ierr = ISCreateSeq(MPI_COMM_SELF, isz, nidx, (is_out+i)); CHKERRQ(ierr);
39   }
40   PetscFree(table);
41   PetscFree(nidx);
42   return 0;
43 }
44 
45 static int MatExpandIndices_MPIBAIJ(Mat C, int imax, IS *is_in, IS *is_out)
46 {
47   Mat_MPIBAIJ  *baij = (Mat_MPIBAIJ *) C->data;
48   int          ierr,bs = baij->bs,Nbs,n,i,j,k,*idx,*nidx;
49 
50   Nbs   = baij->Nbs;
51 
52   nidx  = (int *) PetscMalloc((Nbs*bs+1)*sizeof(int)); CHKPTRQ(nidx);
53 
54   for ( i=0; i<imax; i++ ) {
55     ierr = ISGetIndices(is_in[i],&idx);  CHKERRQ(ierr);
56     ierr = ISGetSize(is_in[i],&n);  CHKERRQ(ierr);
57     for ( j=0; j<n ; ++j){
58       for ( k=0; k<bs; k++ )
59         nidx[j*bs+k] = idx[j]*bs+k;
60     }
61     ierr = ISRestoreIndices(is_in[i],&idx);  CHKERRQ(ierr);
62     ierr = ISCreateSeq(MPI_COMM_SELF, n*bs, nidx, (is_out+i)); CHKERRQ(ierr);
63   }
64   PetscFree(nidx);
65   return 0;
66 }
67 
68 
69 int MatIncreaseOverlap_MPIBAIJ(Mat C, int imax, IS *is, int ov)
70 {
71   int i, ierr;
72   IS *is_new;
73 
74   is_new = (IS *)PetscMalloc(imax*sizeof(IS)); CHKPTRQ(is_new);
75   /* Convert the indices into block format */
76   ierr = MatCompressIndices_MPIBAIJ(C, imax, is,is_new); CHKERRQ(ierr);
77   if (ov < 0){ SETERRQ(1," MatIncreaseOverlap_MPIBAIJ:Negative overlap specified\n");}
78   for ( i=0; i<ov; ++i ) {
79     ierr = MatIncreaseOverlap_MPIBAIJ_Once(C, imax, is_new); CHKERRQ(ierr);
80   }
81   for ( i=0; i<imax; i++ ) ISDestroy(is[i]);
82   ierr = MatExpandIndices_MPIBAIJ(C, imax, is_new,is); CHKERRQ(ierr);
83   for ( i=0; i<imax; i++ ) ISDestroy(is_new[i]);
84   PetscFree(is_new);
85   return 0;
86 }
87 
88 /*
89   Sample message format:
90   If a processor A wants processor B to process some elements corresponding
91   to index sets 1s[1], is[5]
92   mesg [0] = 2   ( no of index sets in the mesg)
93   -----------
94   mesg [1] = 1 => is[1]
95   mesg [2] = sizeof(is[1]);
96   -----------
97   mesg [5] = 5  => is[5]
98   mesg [6] = sizeof(is[5]);
99   -----------
100   mesg [7]
101   mesg [n]  datas[1]
102   -----------
103   mesg[n+1]
104   mesg[m]  data(is[5])
105   -----------
106 
107   Notes:
108   nrqs - no of requests sent (or to be sent out)
109   nrqr - no of requests recieved (which have to be or which have been processed
110 */
111 static int MatIncreaseOverlap_MPIBAIJ_Once(Mat C, int imax, IS *is)
112 {
113   Mat_MPIBAIJ  *c = (Mat_MPIBAIJ *) C->data;
114   int         **idx, *n, *w1, *w2, *w3, *w4, *rtable,**data,len,*idx_i;
115   int         size,rank,Mbs,i,j,k,ierr,**rbuf,row,proc,nrqs,msz,**outdat,**ptr;
116   int         *ctr,*pa,tag,*tmp,bsz,nrqr,*isz,*isz1,**xdata,bsz1,**rbuf2;
117   char        **table;
118   MPI_Comm    comm;
119   MPI_Request *s_waits1,*r_waits1,*s_waits2,*r_waits2;
120   MPI_Status  *s_status,*recv_status;
121 
122   comm   = C->comm;
123   tag    = C->tag;
124   size   = c->size;
125   rank   = c->rank;
126   Mbs      = c->Mbs;
127 
128   len    = (imax+1)*sizeof(int *) + (imax + Mbs)*sizeof(int);
129   idx    = (int **) PetscMalloc(len); CHKPTRQ(idx);
130   n      = (int *) (idx + imax);
131   rtable = n + imax;
132 
133   for ( i=0; i<imax; i++ ) {
134     ierr = ISGetIndices(is[i],&idx[i]);  CHKERRQ(ierr);
135     ierr = ISGetSize(is[i],&n[i]);  CHKERRQ(ierr);
136   }
137 
138   /* Create hash table for the mapping :row -> proc*/
139   for ( i=0,j=0; i<size; i++ ) {
140     len = c->rowners[i+1];
141     for ( ; j<len; j++ ) {
142       rtable[j] = i;
143     }
144   }
145 
146   /* evaluate communication - mesg to who, length of mesg, and buffer space
147      required. Based on this, buffers are allocated, and data copied into them*/
148   w1   = (int *)PetscMalloc(size*4*sizeof(int));CHKPTRQ(w1);/*  mesg size */
149   w2   = w1 + size;       /* if w2[i] marked, then a message to proc i*/
150   w3   = w2 + size;       /* no of IS that needs to be sent to proc i */
151   w4   = w3 + size;       /* temp work space used in determining w1, w2, w3 */
152   PetscMemzero(w1,size*3*sizeof(int)); /* initialise work vector*/
153   for ( i=0; i<imax; i++ ) {
154     PetscMemzero(w4,size*sizeof(int)); /* initialise work vector*/
155     idx_i = idx[i];
156     len   = n[i];
157     for ( j=0; j<len; j++ ) {
158       row  = idx_i[j];
159       proc = rtable[row];
160       w4[proc]++;
161     }
162     for ( j=0; j<size; j++ ){
163       if (w4[j]) { w1[j] += w4[j]; w3[j]++;}
164     }
165   }
166 
167   nrqs     = 0;              /* no of outgoing messages */
168   msz      = 0;              /* total mesg length (for all proc */
169   w1[rank] = 0;              /* no mesg sent to intself */
170   w3[rank] = 0;
171   for ( i=0; i<size; i++ ) {
172     if (w1[i])  {w2[i] = 1; nrqs++;} /* there exists a message to proc i */
173   }
174   /* pa - is list of processors to communicate with */
175   pa = (int *)PetscMalloc((nrqs+1)*sizeof(int));CHKPTRQ(pa);
176   for ( i=0,j=0; i<size; i++ ) {
177     if (w1[i]) {pa[j] = i; j++;}
178   }
179 
180   /* Each message would have a header = 1 + 2*(no of IS) + data */
181   for ( i=0; i<nrqs; i++ ) {
182     j      = pa[i];
183     w1[j] += w2[j] + 2*w3[j];
184     msz   += w1[j];
185   }
186 
187 
188   /* Do a global reduction to determine how many messages to expect*/
189   {
190     int *rw1, *rw2;
191     rw1   = (int *) PetscMalloc(2*size*sizeof(int)); CHKPTRQ(rw1);
192     rw2   = rw1+size;
193     MPI_Allreduce(w1, rw1, size, MPI_INT, MPI_MAX, comm);
194     bsz   = rw1[rank];
195     MPI_Allreduce(w2, rw2, size, MPI_INT, MPI_SUM, comm);
196     nrqr  = rw2[rank];
197     PetscFree(rw1);
198   }
199 
200   /* Allocate memory for recv buffers . Prob none if nrqr = 0 ???? */
201   len     = (nrqr+1)*sizeof(int*) + nrqr*bsz*sizeof(int);
202   rbuf    = (int**) PetscMalloc(len);  CHKPTRQ(rbuf);
203   rbuf[0] = (int *) (rbuf + nrqr);
204   for ( i=1; i<nrqr; ++i ) rbuf[i] = rbuf[i-1] + bsz;
205 
206   /* Post the receives */
207   r_waits1 = (MPI_Request *) PetscMalloc((nrqr+1)*sizeof(MPI_Request));
208   CHKPTRQ(r_waits1);
209   for ( i=0; i<nrqr; ++i ){
210     MPI_Irecv(rbuf[i],bsz,MPI_INT,MPI_ANY_SOURCE,tag,comm,r_waits1+i);
211   }
212 
213   /* Allocate Memory for outgoing messages */
214   len    = 2*size*sizeof(int*) + (size+msz)*sizeof(int);
215   outdat = (int **)PetscMalloc(len); CHKPTRQ(outdat);
216   ptr    = outdat + size;     /* Pointers to the data in outgoing buffers */
217   PetscMemzero(outdat,2*size*sizeof(int*));
218   tmp    = (int *) (outdat + 2*size);
219   ctr    = tmp + msz;
220 
221   {
222     int *iptr = tmp,ict  = 0;
223     for ( i=0; i<nrqs; i++ ) {
224       j         = pa[i];
225       iptr     +=  ict;
226       outdat[j] = iptr;
227       ict       = w1[j];
228     }
229   }
230 
231   /* Form the outgoing messages */
232   /*plug in the headers*/
233   for ( i=0; i<nrqs; i++ ) {
234     j            = pa[i];
235     outdat[j][0] = 0;
236     PetscMemzero(outdat[j]+1,2*w3[j]*sizeof(int));
237     ptr[j]       = outdat[j] + 2*w3[j] + 1;
238   }
239 
240   /* Memory for doing local proc's work*/
241   {
242     int  *d_p;
243     char *t_p;
244 
245     len      = (imax+1)*(sizeof(char *) + sizeof(int *) + sizeof(int)) +
246                (Mbs+1)*imax*sizeof(int)  + (Mbs/BITSPERBYTE+1)*imax*sizeof(char);
247     table    = (char **)PetscMalloc(len);  CHKPTRQ(table);
248     data     = (int **)(table + imax);
249     data[0]  = (int *)(data + imax);
250     isz      = data[0] + (Mbs+1)*imax;
251     table[0] = (char *)(isz + imax);
252     d_p = data[0]; t_p = table[0];
253     for ( i=1; i<imax; i++ ) {
254       table[i] = t_p + (Mbs/BITSPERBYTE+1)*i;
255       data[i]  = d_p + (Mbs+1)*i;
256     }
257   }
258   PetscMemzero(*table,(Mbs/BITSPERBYTE+1)*imax);
259   PetscMemzero(isz,imax*sizeof(int));
260 
261   /* Parse the IS and update local tables and the outgoing buf with the data*/
262   {
263     int  n_i,*data_i,isz_i,*outdat_j,ctr_j;
264     char *table_i;
265 
266     for ( i=0; i<imax; i++ ) {
267       PetscMemzero(ctr,size*sizeof(int));
268       n_i     = n[i];
269       table_i = table[i];
270       idx_i   = idx[i];
271       data_i  = data[i];
272       isz_i   = isz[i];
273       for ( j=0;  j<n_i; j++ ) {  /* parse the indices of each IS */
274         row  = idx_i[j];
275         proc = rtable[row];
276         if (proc != rank) { /* copy to the outgoing buffer */
277           ctr[proc]++;
278           *ptr[proc] = row;
279           ptr[proc]++;
280         }
281         else { /* Update the local table */
282           if (!BT_LOOKUP(table_i,row)) { data_i[isz_i++] = row;}
283         }
284       }
285       /* Update the headers for the current IS */
286       for ( j=0; j<size; j++ ) { /* Can Optimise this loop by using pa[] */
287         if ((ctr_j = ctr[j])) {
288           outdat_j        = outdat[j];
289           k               = ++outdat_j[0];
290           outdat_j[2*k]   = ctr_j;
291           outdat_j[2*k-1] = i;
292         }
293       }
294       isz[i] = isz_i;
295     }
296   }
297 
298 
299 
300   /*  Now  post the sends */
301   s_waits1 = (MPI_Request *) PetscMalloc((nrqs+1)*sizeof(MPI_Request));
302   CHKPTRQ(s_waits1);
303   for ( i=0; i<nrqs; ++i ) {
304     j = pa[i];
305     MPI_Isend(outdat[j], w1[j], MPI_INT, j, tag, comm, s_waits1+i);
306   }
307 
308   /* No longer need the original indices*/
309   for ( i=0; i<imax; ++i ) {
310     ierr = ISRestoreIndices(is[i], idx+i); CHKERRQ(ierr);
311   }
312   PetscFree(idx);
313 
314   for ( i=0; i<imax; ++i ) {
315     ierr = ISDestroy(is[i]); CHKERRQ(ierr);
316   }
317 
318   /* Do Local work*/
319   ierr = MatIncreaseOverlap_MPIBAIJ_Local(C,imax,table,isz,data);CHKERRQ(ierr);
320 
321   /* Receive messages*/
322   {
323     int        index;
324 
325     recv_status = (MPI_Status *) PetscMalloc( (nrqr+1)*sizeof(MPI_Status) );
326     CHKPTRQ(recv_status);
327     for ( i=0; i<nrqr; ++i ) {
328       MPI_Waitany(nrqr, r_waits1, &index, recv_status+i);
329     }
330 
331     s_status = (MPI_Status *) PetscMalloc( (nrqs+1)*sizeof(MPI_Status) );
332     CHKPTRQ(s_status);
333     MPI_Waitall(nrqs,s_waits1,s_status);
334   }
335 
336   /* Phase 1 sends are complete - deallocate buffers */
337   PetscFree(outdat);
338   PetscFree(w1);
339 
340   xdata = (int **)PetscMalloc((nrqr+1)*sizeof(int *)); CHKPTRQ(xdata);
341   isz1  = (int *)PetscMalloc((nrqr+1)*sizeof(int)); CHKPTRQ(isz1);
342   ierr  = MatIncreaseOverlap_MPIBAIJ_Receive(C,nrqr,rbuf,xdata,isz1);CHKERRQ(ierr);
343   PetscFree(rbuf);
344 
345   /* Send the data back*/
346   /* Do a global reduction to know the buffer space req for incoming messages*/
347   {
348     int *rw1, *rw2;
349 
350     rw1 = (int *)PetscMalloc(2*size*sizeof(int)); CHKPTRQ(rw1);
351     PetscMemzero(rw1,2*size*sizeof(int));
352     rw2 = rw1+size;
353     for ( i=0; i<nrqr; ++i ) {
354       proc      = recv_status[i].MPI_SOURCE;
355       rw1[proc] = isz1[i];
356     }
357 
358     MPI_Allreduce(rw1, rw2, size, MPI_INT, MPI_MAX, comm);
359     bsz1   = rw2[rank];
360     PetscFree(rw1);
361   }
362 
363   /* Allocate buffers*/
364 
365   /* Allocate memory for recv buffers. Prob none if nrqr = 0 ???? */
366   len      = (nrqs+1)*sizeof(int*) + nrqs*bsz1*sizeof(int);
367   rbuf2    = (int**) PetscMalloc(len);  CHKPTRQ(rbuf2);
368   rbuf2[0] = (int *) (rbuf2 + nrqs);
369   for ( i=1; i<nrqs; ++i ) rbuf2[i] = rbuf2[i-1] + bsz1;
370 
371   /* Post the receives */
372   r_waits2 = (MPI_Request *)PetscMalloc((nrqs+1)*sizeof(MPI_Request));
373   CHKPTRQ(r_waits2);
374   for ( i=0; i<nrqs; ++i ) {
375     MPI_Irecv(rbuf2[i], bsz1, MPI_INT, MPI_ANY_SOURCE, tag, comm, r_waits2+i);
376   }
377 
378   /*  Now  post the sends */
379   s_waits2 = (MPI_Request *) PetscMalloc((nrqr+1)*sizeof(MPI_Request));
380   CHKPTRQ(s_waits2);
381   for ( i=0; i<nrqr; ++i ) {
382     j = recv_status[i].MPI_SOURCE;
383     MPI_Isend( xdata[i], isz1[i], MPI_INT, j, tag, comm, s_waits2+i);
384   }
385 
386   /* receive work done on other processors*/
387   {
388     int         index, is_no, ct1, max,*rbuf2_i,isz_i,*data_i,jmax;
389     char        *table_i;
390     MPI_Status  *status2;
391 
392     status2 = (MPI_Status *) PetscMalloc((nrqs+1)*sizeof(MPI_Status));CHKPTRQ(status2);
393 
394     for ( i=0; i<nrqs; ++i ) {
395       MPI_Waitany(nrqs, r_waits2, &index, status2+i);
396       /* Process the message*/
397       rbuf2_i = rbuf2[index];
398       ct1     = 2*rbuf2_i[0]+1;
399       jmax    = rbuf2[index][0];
400       for ( j=1; j<=jmax; j++ ) {
401         max     = rbuf2_i[2*j];
402         is_no   = rbuf2_i[2*j-1];
403         isz_i   = isz[is_no];
404         data_i  = data[is_no];
405         table_i = table[is_no];
406         for ( k=0; k<max; k++,ct1++ ) {
407           row = rbuf2_i[ct1];
408           if (!BT_LOOKUP(table_i,row)) { data_i[isz_i++] = row;}
409         }
410         isz[is_no] = isz_i;
411       }
412     }
413     MPI_Waitall(nrqr,s_waits2,status2);
414     PetscFree(status2);
415   }
416 
417   for ( i=0; i<imax; ++i ) {
418     ierr = ISCreateSeq(MPI_COMM_SELF, isz[i], data[i], is+i); CHKERRQ(ierr);
419   }
420 
421   PetscFree(pa);
422   PetscFree(rbuf2);
423   PetscFree(s_waits1);
424   PetscFree(r_waits1);
425   PetscFree(s_waits2);
426   PetscFree(r_waits2);
427   PetscFree(table);
428   PetscFree(s_status);
429   PetscFree(recv_status);
430   PetscFree(xdata[0]);
431   PetscFree(xdata);
432   PetscFree(isz1);
433   return 0;
434 }
435 
436 /*
437    MatIncreaseOverlap_MPIBAIJ_Local - Called by MatincreaseOverlap, to do
438        the work on the local processor.
439 
440      Inputs:
441       C      - MAT_MPIBAIJ;
442       imax - total no of index sets processed at a time;
443       table  - an array of char - size = Mbs bits.
444 
445      Output:
446       isz    - array containing the count of the solution elements correspondign
447                to each index set;
448       data   - pointer to the solutions
449 */
450 static int MatIncreaseOverlap_MPIBAIJ_Local(Mat C,int imax,char **table,int *isz,
451                                            int **data)
452 {
453   Mat_MPIBAIJ *c = (Mat_MPIBAIJ *) C->data;
454   Mat        A = c->A, B = c->B;
455   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ*)B->data;
456   int        start, end, val, max, rstart,cstart,*ai, *aj;
457   int        *bi, *bj, *garray, i, j, k, row,*data_i,isz_i;
458   char       *table_i;
459 
460   rstart = c->rstart;
461   cstart = c->cstart;
462   ai     = a->i;
463   aj     = a->j;
464   bi     = b->i;
465   bj     = b->j;
466   garray = c->garray;
467 
468 
469   for ( i=0; i<imax; i++ ) {
470     data_i  = data[i];
471     table_i = table[i];
472     isz_i   = isz[i];
473     for ( j=0, max=isz[i]; j<max; j++ ) {
474       row   = data_i[j] - rstart;
475       start = ai[row];
476       end   = ai[row+1];
477       for ( k=start; k<end; k++ ) { /* Amat */
478         val = aj[k] + cstart;
479         if (!BT_LOOKUP(table_i,val)) { data_i[isz_i++] = val;}
480       }
481       start = bi[row];
482       end   = bi[row+1];
483       for ( k=start; k<end; k++ ) { /* Bmat */
484         val = garray[bj[k]];
485         if (!BT_LOOKUP(table_i,val)) { data_i[isz_i++] = val;}
486       }
487     }
488     isz[i] = isz_i;
489   }
490   return 0;
491 }
492 /*
493       MatIncreaseOverlap_MPIBAIJ_Receive - Process the recieved messages,
494          and return the output
495 
496          Input:
497            C    - the matrix
498            nrqr - no of messages being processed.
499            rbuf - an array of pointers to the recieved requests
500 
501          Output:
502            xdata - array of messages to be sent back
503            isz1  - size of each message
504 
505   For better efficiency perhaps we should malloc seperately each xdata[i],
506 then if a remalloc is required we need only copy the data for that one row
507 rather then all previous rows as it is now where a single large chunck of
508 memory is used.
509 
510 */
511 static int MatIncreaseOverlap_MPIBAIJ_Receive(Mat C,int nrqr,int **rbuf,
512                                             int **xdata, int * isz1)
513 {
514   Mat_MPIBAIJ  *c = (Mat_MPIBAIJ *) C->data;
515   Mat         A = c->A, B = c->B;
516   Mat_SeqBAIJ  *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ*)B->data;
517   int         rstart,cstart,*ai, *aj, *bi, *bj, *garray, i, j, k;
518   int         row,total_sz,ct, ct1, ct2, ct3,mem_estimate, oct2, l, start, end;
519   int         val, max1, max2, rank, Mbs, no_malloc =0, *tmp, new_estimate, ctr;
520   int         *rbuf_i,kmax,rbuf_0;
521   char        *xtable;
522 
523   rank   = c->rank;
524   Mbs      = c->Mbs;
525   rstart = c->rstart;
526   cstart = c->cstart;
527   ai     = a->i;
528   aj     = a->j;
529   bi     = b->i;
530   bj     = b->j;
531   garray = c->garray;
532 
533 
534   for ( i=0,ct=0,total_sz=0; i<nrqr; ++i ) {
535     rbuf_i =  rbuf[i];
536     rbuf_0 =  rbuf_i[0];
537     ct     += rbuf_0;
538     for ( j=1; j<=rbuf_0; j++ ) { total_sz += rbuf_i[2*j]; }
539   }
540 
541   max1         = ct*(a->nz +b->nz)/c->Mbs;
542   mem_estimate =  3*((total_sz > max1 ? total_sz : max1)+1);
543   xdata[0]     = (int *)PetscMalloc(mem_estimate*sizeof(int)); CHKPTRQ(xdata[0]);
544   ++no_malloc;
545   xtable       = (char *)PetscMalloc((Mbs/BITSPERBYTE+1)*sizeof(char)); CHKPTRQ(xtable);
546   PetscMemzero(isz1,nrqr*sizeof(int));
547 
548   ct3 = 0;
549   for ( i=0; i<nrqr; i++ ) { /* for easch mesg from proc i */
550     rbuf_i =  rbuf[i];
551     rbuf_0 =  rbuf_i[0];
552     ct1    =  2*rbuf_0+1;
553     ct2    =  ct1;
554     ct3    += ct1;
555     for ( j=1; j<=rbuf_0; j++ ) { /* for each IS from proc i*/
556       PetscMemzero(xtable,(Mbs/BITSPERBYTE+1)*sizeof(char));
557       oct2 = ct2;
558       kmax = rbuf_i[2*j];
559       for ( k=0; k<kmax; k++, ct1++ ) {
560         row = rbuf_i[ct1];
561         if (!BT_LOOKUP(xtable,row)) {
562           if (!(ct3 < mem_estimate)) {
563             new_estimate = (int)(1.5*mem_estimate)+1;
564             tmp          = (int*) PetscMalloc(new_estimate * sizeof(int));CHKPTRQ(tmp);
565             PetscMemcpy(tmp,xdata[0],mem_estimate*sizeof(int));
566             PetscFree(xdata[0]);
567             xdata[0]     = tmp;
568             mem_estimate = new_estimate; ++no_malloc;
569             for ( ctr=1; ctr<=i; ctr++ ) { xdata[ctr] = xdata[ctr-1] + isz1[ctr-1];}
570           }
571           xdata[i][ct2++] = row;
572           ct3++;
573         }
574       }
575       for ( k=oct2,max2=ct2; k<max2; k++ ) {
576         row   = xdata[i][k] - rstart;
577         start = ai[row];
578         end   = ai[row+1];
579         for ( l=start; l<end; l++ ) {
580           val = aj[l] + cstart;
581           if (!BT_LOOKUP(xtable,val)) {
582             if (!(ct3 < mem_estimate)) {
583               new_estimate = (int)(1.5*mem_estimate)+1;
584               tmp          = (int*) PetscMalloc(new_estimate * sizeof(int));CHKPTRQ(tmp);
585               PetscMemcpy(tmp,xdata[0],mem_estimate*sizeof(int));
586               PetscFree(xdata[0]);
587               xdata[0]     = tmp;
588               mem_estimate = new_estimate; ++no_malloc;
589               for ( ctr=1; ctr<=i; ctr++ ) { xdata[ctr] = xdata[ctr-1] + isz1[ctr-1];}
590             }
591             xdata[i][ct2++] = val;
592             ct3++;
593           }
594         }
595         start = bi[row];
596         end   = bi[row+1];
597         for ( l=start; l<end; l++ ) {
598           val = garray[bj[l]];
599           if (!BT_LOOKUP(xtable,val)) {
600             if (!(ct3 < mem_estimate)) {
601               new_estimate = (int)(1.5*mem_estimate)+1;
602               tmp          = (int*) PetscMalloc(new_estimate * sizeof(int));CHKPTRQ(tmp);
603               PetscMemcpy(tmp,xdata[0],mem_estimate*sizeof(int));
604               PetscFree(xdata[0]);
605               xdata[0]     = tmp;
606               mem_estimate = new_estimate; ++no_malloc;
607               for ( ctr =1; ctr <=i; ctr++ ) { xdata[ctr] = xdata[ctr-1] + isz1[ctr-1];}
608             }
609             xdata[i][ct2++] = val;
610             ct3++;
611           }
612         }
613       }
614       /* Update the header*/
615       xdata[i][2*j]   = ct2 - oct2; /* Undo the vector isz1 and use only a var*/
616       xdata[i][2*j-1] = rbuf_i[2*j-1];
617     }
618     xdata[i][0] = rbuf_0;
619     xdata[i+1]  = xdata[i] + ct2;
620     isz1[i]     = ct2; /* size of each message */
621   }
622   PetscFree(xtable);
623   PLogInfo(0,"MatIncreaseOverlap_MPIBAIJ:[%d] Allocated %d bytes, required %d bytes, no of mallocs = %d\n",rank,mem_estimate, ct3,no_malloc);
624   return 0;
625 }
626 
627 static int MatGetSubMatrices_MPIBAIJ_local(Mat,int,IS *,IS *,MatGetSubMatrixCall,Mat **);
628 
629 int MatGetSubMatrices_MPIBAIJ(Mat C,int ismax,IS *isrow,IS *iscol,
630                              MatGetSubMatrixCall scall,Mat **submat)
631 {
632   int i,ierr;
633   IS  *isrow_new,*iscol_new;
634 
635   /* The compression and expansion should be avoided. Dos'nt point
636      out errors might change the indices hence buggey */
637 
638   isrow_new = (IS *)PetscMalloc(2*ismax*sizeof(IS)); CHKPTRQ(isrow_new);
639   iscol_new = isrow_new + ismax;
640   ierr = MatCompressIndices_MPIBAIJ(C, ismax, isrow,isrow_new); CHKERRQ(ierr);
641   ierr = MatCompressIndices_MPIBAIJ(C, ismax, iscol,iscol_new); CHKERRQ(ierr);
642   ierr = MatGetSubMatrices_MPIBAIJ_local(C,ismax,isrow_new,iscol_new,scall,submat); CHKERRQ(ierr);
643 
644   for ( i=0; i<ismax; i++) {
645     ISDestroy(isrow_new[i]);
646     ISDestroy(iscol_new[i]);
647   }
648   PetscFree(isrow_new);
649   return 0;
650 }
651 
652 /* -------------------------------------------------------------------------*/
653 static int MatGetSubMatrices_MPIBAIJ_local(Mat C,int ismax,IS *isrow,IS *iscol,
654                              MatGetSubMatrixCall scall,Mat **submat)
655 {
656   Mat_MPIBAIJ  *c = (Mat_MPIBAIJ *) C->data;
657   Mat         A = c->A,*submats = *submat;
658   Mat_SeqBAIJ  *a = (Mat_SeqBAIJ*)A->data, *b = (Mat_SeqBAIJ*)c->B->data, *mat;
659   int         **irow,**icol,*nrow,*ncol,*w1,*w2,*w3,*w4,*rtable,start,end,size;
660   int         **sbuf1,**sbuf2, rank, Mbs,i,j,k,l,ct1,ct2,ierr, **rbuf1,row,proc;
661   int         nrqs, msz, **ptr,index,*req_size,*ctr,*pa,*tmp,tcol,bsz,nrqr;
662   int         **rbuf3,*req_source,**sbuf_aj, **rbuf2, max1,max2,**rmap;
663   int         **cmap,**lens,is_no,ncols,*cols,mat_i,*mat_j,tmp2,jmax,*irow_i;
664   int         len,ctr_j,*sbuf1_j,*sbuf_aj_i,*rbuf1_i,kmax,*cmap_i,*lens_i;
665   int         *rmap_i,bs=c->bs,bs2=c->bs2,*a_j=a->j,*b_j=b->j,*cworkA, *cworkB;
666   int         cstart = c->cstart,nzA,nzB,*a_i=a->i,*b_i=b->i,imark;
667   int         *bmap = c->garray,ctmp,rstart=c->rstart,tag0,tag1,tag2,tag3;
668   MPI_Request *s_waits1,*r_waits1,*s_waits2,*r_waits2,*r_waits3;
669   MPI_Request *r_waits4,*s_waits3,*s_waits4;
670   MPI_Status  *r_status1,*r_status2,*s_status1,*s_status3,*s_status2;
671   MPI_Status  *r_status3,*r_status4,*s_status4;
672   MPI_Comm    comm;
673   Scalar      **rbuf4,**sbuf_aa,*vals,*mat_a,*sbuf_aa_i,*vworkA,*vworkB;
674   Scalar      *a_a=a->a,*b_a=b->a;
675 
676   comm   = C->comm;
677   tag0    = C->tag;
678   size   = c->size;
679   rank   = c->rank;
680   Mbs      = c->Mbs;
681 
682   /* Get some new tags to keep the communication clean */
683   ierr = PetscObjectGetNewTag((PetscObject)C,&tag1); CHKERRQ(ierr);
684   ierr = PetscObjectGetNewTag((PetscObject)C,&tag2); CHKERRQ(ierr);
685   ierr = PetscObjectGetNewTag((PetscObject)C,&tag3); CHKERRQ(ierr);
686 
687   /* Check if the col indices are sorted */
688   for ( i=0; i<ismax; i++ ) {
689     ierr = ISSorted(iscol[i],(PetscTruth*)&j);
690     if (!j) SETERRQ(1,"MatGetSubmatrices_MPIBAIJ:IS is not sorted");
691   }
692 
693   len    = (2*ismax+1)*(sizeof(int *) + sizeof(int)) + (Mbs+1)*sizeof(int);
694   irow   = (int **)PetscMalloc(len); CHKPTRQ(irow);
695   icol   = irow + ismax;
696   nrow   = (int *) (icol + ismax);
697   ncol   = nrow + ismax;
698   rtable = ncol + ismax;
699 
700   for ( i=0; i<ismax; i++ ) {
701     ierr = ISGetIndices(isrow[i],&irow[i]);  CHKERRQ(ierr);
702     ierr = ISGetIndices(iscol[i],&icol[i]);  CHKERRQ(ierr);
703     ierr = ISGetSize(isrow[i],&nrow[i]);  CHKERRQ(ierr);
704     ierr = ISGetSize(iscol[i],&ncol[i]);  CHKERRQ(ierr);
705   }
706 
707   /* Create hash table for the mapping :row -> proc*/
708   for ( i=0,j=0; i<size; i++ ) {
709     jmax = c->rowners[i+1];
710     for ( ; j<jmax; j++ ) {
711       rtable[j] = i;
712     }
713   }
714 
715   /* evaluate communication - mesg to who, length of mesg, and buffer space
716      required. Based on this, buffers are allocated, and data copied into them*/
717   w1     = (int *)PetscMalloc(size*4*sizeof(int));CHKPTRQ(w1); /* mesg size */
718   w2     = w1 + size;      /* if w2[i] marked, then a message to proc i*/
719   w3     = w2 + size;      /* no of IS that needs to be sent to proc i */
720   w4     = w3 + size;      /* temp work space used in determining w1, w2, w3 */
721   PetscMemzero(w1,size*3*sizeof(int)); /* initialise work vector*/
722   for ( i=0; i<ismax; i++ ) {
723     PetscMemzero(w4,size*sizeof(int)); /* initialise work vector*/
724     jmax   = nrow[i];
725     irow_i = irow[i];
726     for ( j=0; j<jmax; j++ ) {
727       row  = irow_i[j];
728       proc = rtable[row];
729       w4[proc]++;
730     }
731     for ( j=0; j<size; j++ ) {
732       if (w4[j]) { w1[j] += w4[j];  w3[j]++;}
733     }
734   }
735 
736   nrqs     = 0;              /* no of outgoing messages */
737   msz      = 0;              /* total mesg length (for all proc */
738   w1[rank] = 0;              /* no mesg sent to intself */
739   w3[rank] = 0;
740   for ( i=0; i<size; i++ ) {
741     if (w1[i])  { w2[i] = 1; nrqs++;} /* there exists a message to proc i */
742   }
743   pa = (int *)PetscMalloc((nrqs+1)*sizeof(int));CHKPTRQ(pa); /*(proc -array)*/
744   for ( i=0, j=0; i<size; i++ ) {
745     if (w1[i]) { pa[j] = i; j++; }
746   }
747 
748   /* Each message would have a header = 1 + 2*(no of IS) + data */
749   for ( i=0; i<nrqs; i++ ) {
750     j     = pa[i];
751     w1[j] += w2[j] + 2* w3[j];
752     msz   += w1[j];
753   }
754   /* Do a global reduction to determine how many messages to expect*/
755   {
756     int *rw1, *rw2;
757     rw1 = (int *)PetscMalloc(2*size*sizeof(int)); CHKPTRQ(rw1);
758     rw2 = rw1+size;
759     MPI_Allreduce(w1, rw1, size, MPI_INT, MPI_MAX, comm);
760     bsz   = rw1[rank];
761     MPI_Allreduce(w2, rw2, size, MPI_INT, MPI_SUM, comm);
762     nrqr  = rw2[rank];
763     PetscFree(rw1);
764   }
765 
766   /* Allocate memory for recv buffers . Prob none if nrqr = 0 ???? */
767   len      = (nrqr+1)*sizeof(int*) + nrqr*bsz*sizeof(int);
768   rbuf1    = (int**) PetscMalloc(len);  CHKPTRQ(rbuf1);
769   rbuf1[0] = (int *) (rbuf1 + nrqr);
770   for ( i=1; i<nrqr; ++i ) rbuf1[i] = rbuf1[i-1] + bsz;
771 
772   /* Post the receives */
773   r_waits1 = (MPI_Request *) PetscMalloc((nrqr+1)*sizeof(MPI_Request));
774   CHKPTRQ(r_waits1);
775   for ( i=0; i<nrqr; ++i ) {
776     MPI_Irecv(rbuf1[i],bsz,MPI_INT,MPI_ANY_SOURCE,tag0,comm,r_waits1+i);
777   }
778 
779   /* Allocate Memory for outgoing messages */
780   len      = 2*size*sizeof(int*) + 2*msz*sizeof(int) + size*sizeof(int);
781   sbuf1    = (int **)PetscMalloc(len); CHKPTRQ(sbuf1);
782   ptr      = sbuf1 + size;   /* Pointers to the data in outgoing buffers */
783   PetscMemzero(sbuf1,2*size*sizeof(int*));
784   /* allocate memory for outgoing data + buf to receive the first reply */
785   tmp      = (int *) (ptr + size);
786   ctr      = tmp + 2*msz;
787 
788   {
789 
790     int *iptr = tmp,ict = 0;
791     for ( i=0; i<nrqs; i++ ) {
792       j         = pa[i];
793       iptr     += ict;
794       sbuf1[j]  = iptr;
795       ict       = w1[j];
796     }
797   }
798 
799   /* Form the outgoing messages */
800   /* Initialise the header space */
801   for ( i=0; i<nrqs; i++ ) {
802     j           = pa[i];
803     sbuf1[j][0] = 0;
804     PetscMemzero(sbuf1[j]+1, 2*w3[j]*sizeof(int));
805     ptr[j]      = sbuf1[j] + 2*w3[j] + 1;
806   }
807 
808   /* Parse the isrow and copy data into outbuf */
809   for ( i=0; i<ismax; i++ ) {
810     PetscMemzero(ctr,size*sizeof(int));
811     irow_i = irow[i];
812     jmax   = nrow[i];
813     for ( j=0; j<jmax; j++ ) {  /* parse the indices of each IS */
814       row  = irow_i[j];
815       proc = rtable[row];
816       if (proc != rank) { /* copy to the outgoing buf*/
817         ctr[proc]++;
818         *ptr[proc] = row;
819         ptr[proc]++;
820       }
821     }
822     /* Update the headers for the current IS */
823     for ( j=0; j<size; j++ ) { /* Can Optimise this loop too */
824       if ((ctr_j = ctr[j])) {
825         sbuf1_j        = sbuf1[j];
826         k              = ++sbuf1_j[0];
827         sbuf1_j[2*k]   = ctr_j;
828         sbuf1_j[2*k-1] = i;
829       }
830     }
831   }
832 
833   /*  Now  post the sends */
834   s_waits1 = (MPI_Request *) PetscMalloc((nrqs+1)*sizeof(MPI_Request));
835   CHKPTRQ(s_waits1);
836   for ( i=0; i<nrqs; ++i ) {
837     j = pa[i];
838     /* printf("[%d] Send Req to %d: size %d \n", rank,j, w1[j]); */
839     MPI_Isend( sbuf1[j], w1[j], MPI_INT, j, tag0, comm, s_waits1+i);
840   }
841 
842   /* Post Recieves to capture the buffer size */
843   r_waits2 = (MPI_Request *) PetscMalloc((nrqs+1)*sizeof(MPI_Request));
844   CHKPTRQ(r_waits2);
845   rbuf2    = (int**)PetscMalloc((nrqs+1)*sizeof(int *));CHKPTRQ(rbuf2);
846   rbuf2[0] = tmp + msz;
847   for ( i=1; i<nrqs; ++i ) {
848     j        = pa[i];
849     rbuf2[i] = rbuf2[i-1]+w1[pa[i-1]];
850   }
851   for ( i=0; i<nrqs; ++i ) {
852     j = pa[i];
853     MPI_Irecv( rbuf2[i], w1[j], MPI_INT, j, tag1, comm, r_waits2+i);
854   }
855 
856   /* Send to other procs the buf size they should allocate */
857 
858 
859   /* Receive messages*/
860   s_waits2  = (MPI_Request *) PetscMalloc((nrqr+1)*sizeof(MPI_Request));
861   CHKPTRQ(s_waits2);
862   r_status1 = (MPI_Status *) PetscMalloc((nrqr+1)*sizeof(MPI_Status));
863   CHKPTRQ(r_status1);
864   len         = 2*nrqr*sizeof(int) + (nrqr+1)*sizeof(int*);
865   sbuf2       = (int**) PetscMalloc(len);CHKPTRQ(sbuf2);
866   req_size    = (int *) (sbuf2 + nrqr);
867   req_source  = req_size + nrqr;
868 
869   {
870     Mat_SeqBAIJ *sA = (Mat_SeqBAIJ*) c->A->data, *sB = (Mat_SeqBAIJ*) c->B->data;
871     int        *sAi = sA->i, *sBi = sB->i, id;
872     int        *sbuf2_i;
873 
874     for ( i=0; i<nrqr; ++i ) {
875       MPI_Waitany(nrqr, r_waits1, &index, r_status1+i);
876       req_size[index] = 0;
877       rbuf1_i         = rbuf1[index];
878       start           = 2*rbuf1_i[0] + 1;
879       MPI_Get_count(r_status1+i,MPI_INT, &end);
880       sbuf2[index] = (int *)PetscMalloc(end*sizeof(int));CHKPTRQ(sbuf2[index]);
881       sbuf2_i      = sbuf2[index];
882       for ( j=start; j<end; j++ ) {
883         id               = rbuf1_i[j] - rstart;
884         ncols            = sAi[id+1] - sAi[id] + sBi[id+1] - sBi[id];
885         sbuf2_i[j]       = ncols;
886         req_size[index] += ncols;
887       }
888       req_source[index] = r_status1[i].MPI_SOURCE;
889       /* form the header */
890       sbuf2_i[0]   = req_size[index];
891       for ( j=1; j<start; j++ ) { sbuf2_i[j] = rbuf1_i[j]; }
892       MPI_Isend(sbuf2_i,end,MPI_INT,req_source[index],tag1,comm,s_waits2+i);
893     }
894   }
895   PetscFree(r_status1); PetscFree(r_waits1);
896 
897   /*  recv buffer sizes */
898   /* Receive messages*/
899 
900   rbuf3    = (int**)PetscMalloc((nrqs+1)*sizeof(int*)); CHKPTRQ(rbuf3);
901   rbuf4    = (Scalar**)PetscMalloc((nrqs+1)*sizeof(Scalar*));CHKPTRQ(rbuf4);
902   r_waits3 = (MPI_Request *) PetscMalloc((nrqs+1)*sizeof(MPI_Request));
903   CHKPTRQ(r_waits3);
904   r_waits4 = (MPI_Request *) PetscMalloc((nrqs+1)*sizeof(MPI_Request));
905   CHKPTRQ(r_waits4);
906   r_status2 = (MPI_Status *) PetscMalloc( (nrqs+1)*sizeof(MPI_Status) );
907   CHKPTRQ(r_status2);
908 
909   for ( i=0; i<nrqs; ++i ) {
910     MPI_Waitany(nrqs, r_waits2, &index, r_status2+i);
911     rbuf3[index] = (int *)PetscMalloc(rbuf2[index][0]*sizeof(int));
912     CHKPTRQ(rbuf3[index]);
913     rbuf4[index] = (Scalar *)PetscMalloc(rbuf2[index][0]*bs2*sizeof(Scalar));
914     CHKPTRQ(rbuf4[index]);
915     MPI_Irecv(rbuf3[index],rbuf2[index][0], MPI_INT,
916               r_status2[i].MPI_SOURCE, tag2, comm, r_waits3+index);
917     MPI_Irecv(rbuf4[index],rbuf2[index][0]*bs2, MPIU_SCALAR,
918               r_status2[i].MPI_SOURCE, tag3, comm, r_waits4+index);
919   }
920   PetscFree(r_status2); PetscFree(r_waits2);
921 
922   /* Wait on sends1 and sends2 */
923   s_status1 = (MPI_Status *) PetscMalloc((nrqs+1)*sizeof(MPI_Status));
924   CHKPTRQ(s_status1);
925   s_status2 = (MPI_Status *) PetscMalloc((nrqr+1)*sizeof(MPI_Status));
926   CHKPTRQ(s_status2);
927 
928   MPI_Waitall(nrqs,s_waits1,s_status1);
929   MPI_Waitall(nrqr,s_waits2,s_status2);
930   PetscFree(s_status1); PetscFree(s_status2);
931   PetscFree(s_waits1); PetscFree(s_waits2);
932 
933   /* Now allocate buffers for a->j, and send them off */
934   sbuf_aj = (int **)PetscMalloc((nrqr+1)*sizeof(int *));CHKPTRQ(sbuf_aj);
935   for ( i=0,j=0; i<nrqr; i++ ) j += req_size[i];
936   sbuf_aj[0] = (int*) PetscMalloc((j+1)*sizeof(int)); CHKPTRQ(sbuf_aj[0]);
937   for ( i=1; i<nrqr; i++ )  sbuf_aj[i] = sbuf_aj[i-1] + req_size[i-1];
938 
939   s_waits3 = (MPI_Request *) PetscMalloc((nrqr+1)*sizeof(MPI_Request));
940   CHKPTRQ(s_waits3);
941   {
942      for ( i=0; i<nrqr; i++ ) {
943       rbuf1_i   = rbuf1[i];
944       sbuf_aj_i = sbuf_aj[i];
945       ct1       = 2*rbuf1_i[0] + 1;
946       ct2       = 0;
947       for ( j=1,max1=rbuf1_i[0]; j<=max1; j++ ) {
948         kmax = rbuf1[i][2*j];
949         for ( k=0; k<kmax; k++,ct1++ ) {
950           row    = rbuf1_i[ct1] - cstart;
951           nzA    = a_i[row+1] - a_i[row];     nzB = b_i[row+1] - b_i[row];
952           ncols  = nzA + nzB;
953           cworkA = a_j + a_i[row]; cworkB = b_j + b_i[row];
954 
955           /* load the column indices for this row into cols*/
956           cols  = sbuf_aj_i + ct2;
957           for ( l=0; l<nzB; l++ ) {
958             if ((ctmp = bmap[cworkB[l]]) < cstart)  cols[l] = ctmp;
959             else break;
960           }
961           imark = l;
962           for ( l=0; l<nzA; l++ )   cols[imark+l] = cstart + cworkA[l];
963           for ( l=imark; l<nzB; l++ ) cols[nzA+l] = bmap[cworkB[l]];
964           ct2 += ncols;
965         }
966       }
967       MPI_Isend(sbuf_aj_i,req_size[i],MPI_INT,req_source[i],tag2,comm,s_waits3+i);
968     }
969   }
970   r_status3 = (MPI_Status *) PetscMalloc((nrqs+1)*sizeof(MPI_Status));
971   CHKPTRQ(r_status3);
972   s_status3 = (MPI_Status *) PetscMalloc((nrqr+1)*sizeof(MPI_Status));
973   CHKPTRQ(s_status3);
974 
975   /* Allocate buffers for a->a, and send them off */
976   sbuf_aa = (Scalar **)PetscMalloc((nrqr+1)*sizeof(Scalar *));CHKPTRQ(sbuf_aa);
977   for ( i=0,j=0; i<nrqr; i++ ) j += req_size[i];
978   sbuf_aa[0] = (Scalar*) PetscMalloc((j+1)*bs2*sizeof(Scalar));CHKPTRQ(sbuf_aa[0]);
979   for ( i=1; i<nrqr; i++ )  sbuf_aa[i] = sbuf_aa[i-1] + req_size[i-1]*bs2;
980 
981   s_waits4 = (MPI_Request *) PetscMalloc((nrqr+1)*sizeof(MPI_Request));
982   CHKPTRQ(s_waits4);
983   {
984     for ( i=0; i<nrqr; i++ ) {
985       rbuf1_i   = rbuf1[i];
986       sbuf_aa_i = sbuf_aa[i];
987       ct1       = 2*rbuf1_i[0]+1;
988       ct2       = 0;
989       for ( j=1,max1=rbuf1_i[0]; j<=max1; j++ ) {
990         kmax = rbuf1_i[2*j];
991         for ( k=0; k<kmax; k++,ct1++ ) {
992           row    = rbuf1_i[ct1] - cstart;
993           nzA    = a_i[row+1] - a_i[row];     nzB = b_i[row+1] - b_i[row];
994           ncols  = nzA + nzB;
995           cworkA = a_j + a_i[row];     cworkB = b_j + b_i[row];
996           vworkA = a_a + a_i[row]*bs2; vworkB = b_a + b_i[row]*bs2;
997 
998           /* load the column values for this row into vals*/
999           vals  = sbuf_aa_i+ct2*bs2;
1000           for ( l=0; l<nzB; l++ ) {
1001             if ((bmap[cworkB[l]]) < cstart)
1002               PetscMemcpy(vals+l*bs2,vworkB+l*bs2,bs2*sizeof(Scalar));
1003             else break;
1004           }
1005           imark = l;
1006           for ( l=0; l<nzA; l++ )
1007             PetscMemcpy(vals+(imark+l)*bs2,vworkA+l*bs2,bs2*sizeof(Scalar));
1008           for ( l=imark; l<nzB; l++ )
1009             PetscMemcpy(vals+(nzA+l)*bs2,vworkB+l*bs2,bs2*sizeof(Scalar));
1010           ct2 += ncols;
1011         }
1012       }
1013       MPI_Isend(sbuf_aa_i,req_size[i]*bs2,MPIU_SCALAR,req_source[i],tag3,comm,s_waits4+i);
1014     }
1015   }
1016   r_status4 = (MPI_Status *) PetscMalloc((nrqs+1)*sizeof(MPI_Status));
1017   CHKPTRQ(r_status4);
1018   s_status4 = (MPI_Status *) PetscMalloc((nrqr+1)*sizeof(MPI_Status));
1019   CHKPTRQ(s_status4);
1020   PetscFree(rbuf1);
1021 
1022   /* Form the matrix */
1023   /* create col map */
1024   {
1025     int *icol_i;
1026 
1027     len     = (1+ismax)*sizeof(int *) + ismax*c->Nbs*sizeof(int);
1028     cmap    = (int **)PetscMalloc(len); CHKPTRQ(cmap);
1029     cmap[0] = (int *)(cmap + ismax);
1030     PetscMemzero(cmap[0],(1+ismax*c->Nbs)*sizeof(int));
1031     for ( i=1; i<ismax; i++ ) { cmap[i] = cmap[i-1] + c->Nbs; }
1032     for ( i=0; i<ismax; i++ ) {
1033       jmax   = ncol[i];
1034       icol_i = icol[i];
1035       cmap_i = cmap[i];
1036       for ( j=0; j<jmax; j++ ) {
1037         cmap_i[icol_i[j]] = j+1;
1038       }
1039     }
1040   }
1041 
1042 
1043   /* Create lens which is required for MatCreate... */
1044   for ( i=0,j=0; i<ismax; i++ ) { j += nrow[i]; }
1045   len     = (1+ismax)*sizeof(int *) + j*sizeof(int);
1046   lens    = (int **)PetscMalloc(len); CHKPTRQ(lens);
1047   lens[0] = (int *)(lens + ismax);
1048   PetscMemzero(lens[0], j*sizeof(int));
1049   for ( i=1; i<ismax; i++ ) { lens[i] = lens[i-1] + nrow[i-1]; }
1050 
1051   /* Update lens from local data */
1052   for ( i=0; i<ismax; i++ ) {
1053     jmax   = nrow[i];
1054     cmap_i = cmap[i];
1055     irow_i = irow[i];
1056     lens_i = lens[i];
1057     for ( j=0; j<jmax; j++ ) {
1058       row  = irow_i[j];
1059       proc = rtable[row];
1060       if (proc == rank) {
1061         /* Get indices from matA and then from matB */
1062         row    = row - rstart;
1063         nzA    = a_i[row+1] - a_i[row];     nzB = b_i[row+1] - b_i[row];
1064         cworkA =  a_j + a_i[row]; cworkB = b_j + b_i[row];
1065         for ( k=0; k<nzA; k++ )
1066           if (cmap_i[cstart + cworkA[k]]) { lens_i[j]++;}
1067         for ( k=0; k<nzB; k++ )
1068           if (cmap_i[bmap[cworkB[k]]]) { lens_i[j]++;}
1069       }
1070     }
1071   }
1072 
1073   /* Create row map*/
1074   len     = (1+ismax)*sizeof(int *) + ismax*c->Mbs*sizeof(int);
1075   rmap    = (int **)PetscMalloc(len); CHKPTRQ(rmap);
1076   rmap[0] = (int *)(rmap + ismax);
1077   PetscMemzero(rmap[0],ismax*c->Mbs*sizeof(int));
1078   for ( i=1; i<ismax; i++ ) { rmap[i] = rmap[i-1] + c->Mbs;}
1079   for ( i=0; i<ismax; i++ ) {
1080     rmap_i = rmap[i];
1081     irow_i = irow[i];
1082     jmax   = nrow[i];
1083     for ( j=0; j<jmax; j++ ) {
1084       rmap_i[irow_i[j]] = j;
1085     }
1086   }
1087 
1088   /* Update lens from offproc data */
1089   {
1090     int *rbuf2_i, *rbuf3_i, *sbuf1_i;
1091 
1092     for ( tmp2=0; tmp2<nrqs; tmp2++ ) {
1093       MPI_Waitany(nrqs, r_waits3, &i, r_status3+tmp2);
1094       index   = pa[i];
1095       sbuf1_i = sbuf1[index];
1096       jmax    = sbuf1_i[0];
1097       ct1     = 2*jmax+1;
1098       ct2     = 0;
1099       rbuf2_i = rbuf2[i];
1100       rbuf3_i = rbuf3[i];
1101       for ( j=1; j<=jmax; j++ ) {
1102         is_no   = sbuf1_i[2*j-1];
1103         max1    = sbuf1_i[2*j];
1104         lens_i  = lens[is_no];
1105         cmap_i  = cmap[is_no];
1106         rmap_i  = rmap[is_no];
1107         for ( k=0; k<max1; k++,ct1++ ) {
1108           row  = rmap_i[sbuf1_i[ct1]]; /* the val in the new matrix to be */
1109           max2 = rbuf2_i[ct1];
1110           for ( l=0; l<max2; l++,ct2++ ) {
1111             if (cmap_i[rbuf3_i[ct2]]) {
1112               lens_i[row]++;
1113             }
1114           }
1115         }
1116       }
1117     }
1118   }
1119   PetscFree(r_status3); PetscFree(r_waits3);
1120   MPI_Waitall(nrqr,s_waits3,s_status3);
1121   PetscFree(s_status3); PetscFree(s_waits3);
1122 
1123   /* Create the submatrices */
1124   if (scall == MAT_REUSE_MATRIX) {
1125     /*
1126         Assumes new rows are same length as the old rows, hence bug!
1127     */
1128     for ( i=0; i<ismax; i++ ) {
1129       mat = (Mat_SeqBAIJ *)(submats[i]->data);
1130       if ((mat->mbs != nrow[i]) || (mat->nbs != ncol[i] || mat->bs != bs)) {
1131         SETERRQ(1,"MatGetSubmatrices_MPIBAIJ:Cannot reuse matrix. wrong size");
1132       }
1133       if (PetscMemcmp(mat->ilen,lens[i], mat->mbs *sizeof(int))) {
1134         SETERRQ(1,"MatGetSubmatrices_MPIBAIJ:Cannot reuse matrix. wrong no of nonzeros");
1135       }
1136       /* Initial matrix as if empty */
1137       PetscMemzero(mat->ilen,mat->mbs*sizeof(int));
1138     }
1139   }
1140   else {
1141     *submat = submats = (Mat *)PetscMalloc(ismax*sizeof(Mat)); CHKPTRQ(submats);
1142     for ( i=0; i<ismax; i++ ) {
1143       ierr = MatCreateSeqBAIJ(comm,a->bs,nrow[i]*bs,ncol[i]*bs,0,lens[i],submats+i);CHKERRQ(ierr);
1144     }
1145   }
1146 
1147   /* Assemble the matrices */
1148   /* First assemble the local rows */
1149   {
1150     int    ilen_row,*imat_ilen, *imat_j, *imat_i;
1151     Scalar *imat_a;
1152 
1153     for ( i=0; i<ismax; i++ ) {
1154       mat       = (Mat_SeqBAIJ *) submats[i]->data;
1155       imat_ilen = mat->ilen;
1156       imat_j    = mat->j;
1157       imat_i    = mat->i;
1158       imat_a    = mat->a;
1159       cmap_i    = cmap[i];
1160       rmap_i    = rmap[i];
1161       irow_i    = irow[i];
1162       jmax      = nrow[i];
1163       for ( j=0; j<jmax; j++ ) {
1164         row      = irow_i[j];
1165         proc     = rtable[row];
1166         if (proc == rank) {
1167           row      = row - rstart;
1168           nzA      = a_i[row+1] - a_i[row];
1169           nzB      = b_i[row+1] - b_i[row];
1170           cworkA   = a_j + a_i[row];
1171           cworkB   = b_j + b_i[row];
1172           vworkA   = a_a + a_i[row]*bs2;
1173           vworkB   = b_a + b_i[row]*bs2;
1174 
1175           row      = rmap_i[row + rstart];
1176           mat_i    = imat_i[row];
1177           mat_a    = imat_a + mat_i*bs2;
1178           mat_j    = imat_j + mat_i;
1179           ilen_row = imat_ilen[row];
1180 
1181           /* load the column indices for this row into cols*/
1182           for ( l=0; l<nzB; l++ ) {
1183             if ((ctmp = bmap[cworkB[l]]) < cstart) {
1184               if ((tcol = cmap_i[ctmp])) {
1185                 *mat_j++ = tcol - 1;
1186                 PetscMemcpy(mat_a,vworkB+l*bs2,bs2*sizeof(Scalar)); mat_a += bs2;
1187                 ilen_row++;
1188               }
1189             }
1190             else break;
1191           }
1192           imark = l;
1193           for ( l=0; l<nzA; l++ ) {
1194             if ((tcol = cmap_i[cstart + cworkA[l]])) {
1195               *mat_j++ = tcol - 1;
1196               PetscMemcpy(mat_a,vworkA+l*bs2,bs2*sizeof(Scalar)); mat_a += bs2;
1197               ilen_row++;
1198             }
1199           }
1200           for ( l=imark; l<nzB; l++ ) {
1201             if ((tcol = cmap_i[bmap[cworkB[l]]])) {
1202               *mat_j++ = tcol - 1;
1203               PetscMemcpy(mat_a,vworkB+l*bs2,bs2*sizeof(Scalar)); mat_a += bs2;
1204               ilen_row++;
1205             }
1206           }
1207           imat_ilen[row] = ilen_row;
1208         }
1209       }
1210 
1211     }
1212   }
1213 
1214   /*   Now assemble the off proc rows*/
1215   {
1216     int    *sbuf1_i,*rbuf2_i,*rbuf3_i,*imat_ilen,ilen;
1217     int    *imat_j,*imat_i;
1218     Scalar *imat_a,*rbuf4_i;
1219 
1220     for ( tmp2=0; tmp2<nrqs; tmp2++ ) {
1221       MPI_Waitany(nrqs, r_waits4, &i, r_status4+tmp2);
1222       index   = pa[i];
1223       sbuf1_i = sbuf1[index];
1224       jmax    = sbuf1_i[0];
1225       ct1     = 2*jmax + 1;
1226       ct2     = 0;
1227       rbuf2_i = rbuf2[i];
1228       rbuf3_i = rbuf3[i];
1229       rbuf4_i = rbuf4[i];
1230       for ( j=1; j<=jmax; j++ ) {
1231         is_no     = sbuf1_i[2*j-1];
1232         rmap_i    = rmap[is_no];
1233         cmap_i    = cmap[is_no];
1234         mat       = (Mat_SeqBAIJ *) submats[is_no]->data;
1235         imat_ilen = mat->ilen;
1236         imat_j    = mat->j;
1237         imat_i    = mat->i;
1238         imat_a    = mat->a;
1239         max1      = sbuf1_i[2*j];
1240         for ( k=0; k<max1; k++, ct1++ ) {
1241           row   = sbuf1_i[ct1];
1242           row   = rmap_i[row];
1243           ilen  = imat_ilen[row];
1244           mat_i = imat_i[row];
1245           mat_a = imat_a + mat_i*bs2;
1246           mat_j = imat_j + mat_i;
1247           max2 = rbuf2_i[ct1];
1248           for ( l=0; l<max2; l++,ct2++ ) {
1249             if ((tcol = cmap_i[rbuf3_i[ct2]])) {
1250               *mat_j++ = tcol - 1;
1251               /* *mat_a++ = rbuf4_i[ct2]; */
1252               PetscMemcpy(mat_a,rbuf4_i+ct2*bs2,bs2*sizeof(Scalar)); mat_a += bs2;
1253               ilen++;
1254             }
1255           }
1256           imat_ilen[row] = ilen;
1257         }
1258       }
1259     }
1260   }
1261   PetscFree(r_status4); PetscFree(r_waits4);
1262   MPI_Waitall(nrqr,s_waits4,s_status4);
1263   PetscFree(s_waits4); PetscFree(s_status4);
1264 
1265   /* Restore the indices */
1266   for ( i=0; i<ismax; i++ ) {
1267     ierr = ISRestoreIndices(isrow[i], irow+i); CHKERRQ(ierr);
1268     ierr = ISRestoreIndices(iscol[i], icol+i); CHKERRQ(ierr);
1269   }
1270 
1271   /* Destroy allocated memory */
1272   PetscFree(irow);
1273   PetscFree(w1);
1274   PetscFree(pa);
1275 
1276   PetscFree(sbuf1);
1277   PetscFree(rbuf2);
1278   for ( i=0; i<nrqr; ++i ) {
1279     PetscFree(sbuf2[i]);
1280   }
1281   for ( i=0; i<nrqs; ++i ) {
1282     PetscFree(rbuf3[i]);
1283     PetscFree(rbuf4[i]);
1284   }
1285 
1286   PetscFree(sbuf2);
1287   PetscFree(rbuf3);
1288   PetscFree(rbuf4 );
1289   PetscFree(sbuf_aj[0]);
1290   PetscFree(sbuf_aj);
1291   PetscFree(sbuf_aa[0]);
1292   PetscFree(sbuf_aa);
1293 
1294   PetscFree(cmap);
1295   PetscFree(rmap);
1296   PetscFree(lens);
1297 
1298   for ( i=0; i<ismax; i++ ) {
1299     ierr = MatAssemblyBegin(submats[i], MAT_FINAL_ASSEMBLY); CHKERRQ(ierr);
1300     ierr = MatAssemblyEnd(submats[i], MAT_FINAL_ASSEMBLY); CHKERRQ(ierr);
1301   }
1302 
1303   ierr = PetscObjectRestoreNewTag((PetscObject)C,&tag3); CHKERRQ(ierr);
1304   ierr = PetscObjectRestoreNewTag((PetscObject)C,&tag2); CHKERRQ(ierr);
1305   ierr = PetscObjectRestoreNewTag((PetscObject)C,&tag1); CHKERRQ(ierr);
1306 
1307   return 0;
1308 }
1309