Actual source code: mpibaij.c

petsc-3.11.4 2019-09-28
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  2:  #include <../src/mat/impls/baij/mpi/mpibaij.h>

  4:  #include <petscblaslapack.h>
  5:  #include <petscsf.h>

  7: #if defined(PETSC_HAVE_HYPRE)
  8: PETSC_INTERN PetscErrorCode MatConvert_AIJ_HYPRE(Mat,MatType,MatReuse,Mat*);
  9: #endif

 11: PetscErrorCode MatGetRowMaxAbs_MPIBAIJ(Mat A,Vec v,PetscInt idx[])
 12: {
 13:   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
 15:   PetscInt       i,*idxb = 0;
 16:   PetscScalar    *va,*vb;
 17:   Vec            vtmp;

 20:   MatGetRowMaxAbs(a->A,v,idx);
 21:   VecGetArray(v,&va);
 22:   if (idx) {
 23:     for (i=0; i<A->rmap->n; i++) {
 24:       if (PetscAbsScalar(va[i])) idx[i] += A->cmap->rstart;
 25:     }
 26:   }

 28:   VecCreateSeq(PETSC_COMM_SELF,A->rmap->n,&vtmp);
 29:   if (idx) {PetscMalloc1(A->rmap->n,&idxb);}
 30:   MatGetRowMaxAbs(a->B,vtmp,idxb);
 31:   VecGetArray(vtmp,&vb);

 33:   for (i=0; i<A->rmap->n; i++) {
 34:     if (PetscAbsScalar(va[i]) < PetscAbsScalar(vb[i])) {
 35:       va[i] = vb[i];
 36:       if (idx) idx[i] = A->cmap->bs*a->garray[idxb[i]/A->cmap->bs] + (idxb[i] % A->cmap->bs);
 37:     }
 38:   }

 40:   VecRestoreArray(v,&va);
 41:   VecRestoreArray(vtmp,&vb);
 42:   PetscFree(idxb);
 43:   VecDestroy(&vtmp);
 44:   return(0);
 45: }

 47: PetscErrorCode  MatStoreValues_MPIBAIJ(Mat mat)
 48: {
 49:   Mat_MPIBAIJ    *aij = (Mat_MPIBAIJ*)mat->data;

 53:   MatStoreValues(aij->A);
 54:   MatStoreValues(aij->B);
 55:   return(0);
 56: }

 58: PetscErrorCode  MatRetrieveValues_MPIBAIJ(Mat mat)
 59: {
 60:   Mat_MPIBAIJ    *aij = (Mat_MPIBAIJ*)mat->data;

 64:   MatRetrieveValues(aij->A);
 65:   MatRetrieveValues(aij->B);
 66:   return(0);
 67: }

 69: /*
 70:      Local utility routine that creates a mapping from the global column
 71:    number to the local number in the off-diagonal part of the local
 72:    storage of the matrix.  This is done in a non scalable way since the
 73:    length of colmap equals the global matrix length.
 74: */
 75: PetscErrorCode MatCreateColmap_MPIBAIJ_Private(Mat mat)
 76: {
 77:   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
 78:   Mat_SeqBAIJ    *B    = (Mat_SeqBAIJ*)baij->B->data;
 80:   PetscInt       nbs = B->nbs,i,bs=mat->rmap->bs;

 83: #if defined(PETSC_USE_CTABLE)
 84:   PetscTableCreate(baij->nbs,baij->Nbs+1,&baij->colmap);
 85:   for (i=0; i<nbs; i++) {
 86:     PetscTableAdd(baij->colmap,baij->garray[i]+1,i*bs+1,INSERT_VALUES);
 87:   }
 88: #else
 89:   PetscMalloc1(baij->Nbs+1,&baij->colmap);
 90:   PetscLogObjectMemory((PetscObject)mat,baij->Nbs*sizeof(PetscInt));
 91:   PetscMemzero(baij->colmap,baij->Nbs*sizeof(PetscInt));
 92:   for (i=0; i<nbs; i++) baij->colmap[baij->garray[i]] = i*bs+1;
 93: #endif
 94:   return(0);
 95: }

 97: #define  MatSetValues_SeqBAIJ_A_Private(row,col,value,addv,orow,ocol)       \
 98:   { \
 99:  \
100:     brow = row/bs;  \
101:     rp   = aj + ai[brow]; ap = aa + bs2*ai[brow]; \
102:     rmax = aimax[brow]; nrow = ailen[brow]; \
103:     bcol = col/bs; \
104:     ridx = row % bs; cidx = col % bs; \
105:     low  = 0; high = nrow; \
106:     while (high-low > 3) { \
107:       t = (low+high)/2; \
108:       if (rp[t] > bcol) high = t; \
109:       else              low  = t; \
110:     } \
111:     for (_i=low; _i<high; _i++) { \
112:       if (rp[_i] > bcol) break; \
113:       if (rp[_i] == bcol) { \
114:         bap = ap +  bs2*_i + bs*cidx + ridx; \
115:         if (addv == ADD_VALUES) *bap += value;  \
116:         else                    *bap  = value;  \
117:         goto a_noinsert; \
118:       } \
119:     } \
120:     if (a->nonew == 1) goto a_noinsert; \
121:     if (a->nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero at global row/column (%D, %D) into matrix", orow, ocol); \
122:     MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,aimax,a->nonew,MatScalar); \
123:     N = nrow++ - 1;  \
124:     /* shift up all the later entries in this row */ \
125:     for (ii=N; ii>=_i; ii--) { \
126:       rp[ii+1] = rp[ii]; \
127:       PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar)); \
128:     } \
129:     if (N>=_i) { PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar)); }  \
130:     rp[_i]                      = bcol;  \
131:     ap[bs2*_i + bs*cidx + ridx] = value;  \
132: a_noinsert:; \
133:     ailen[brow] = nrow; \
134:   }

136: #define  MatSetValues_SeqBAIJ_B_Private(row,col,value,addv,orow,ocol)       \
137:   { \
138:     brow = row/bs;  \
139:     rp   = bj + bi[brow]; ap = ba + bs2*bi[brow]; \
140:     rmax = bimax[brow]; nrow = bilen[brow]; \
141:     bcol = col/bs; \
142:     ridx = row % bs; cidx = col % bs; \
143:     low  = 0; high = nrow; \
144:     while (high-low > 3) { \
145:       t = (low+high)/2; \
146:       if (rp[t] > bcol) high = t; \
147:       else              low  = t; \
148:     } \
149:     for (_i=low; _i<high; _i++) { \
150:       if (rp[_i] > bcol) break; \
151:       if (rp[_i] == bcol) { \
152:         bap = ap +  bs2*_i + bs*cidx + ridx; \
153:         if (addv == ADD_VALUES) *bap += value;  \
154:         else                    *bap  = value;  \
155:         goto b_noinsert; \
156:       } \
157:     } \
158:     if (b->nonew == 1) goto b_noinsert; \
159:     if (b->nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero at global row/column  (%D, %D) into matrix", orow, ocol); \
160:     MatSeqXAIJReallocateAIJ(B,b->mbs,bs2,nrow,brow,bcol,rmax,ba,bi,bj,rp,ap,bimax,b->nonew,MatScalar); \
161:     N = nrow++ - 1;  \
162:     /* shift up all the later entries in this row */ \
163:     for (ii=N; ii>=_i; ii--) { \
164:       rp[ii+1] = rp[ii]; \
165:       PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar)); \
166:     } \
167:     if (N>=_i) { PetscMemzero(ap+bs2*_i,bs2*sizeof(MatScalar));}  \
168:     rp[_i]                      = bcol;  \
169:     ap[bs2*_i + bs*cidx + ridx] = value;  \
170: b_noinsert:; \
171:     bilen[brow] = nrow; \
172:   }

174: PetscErrorCode MatSetValues_MPIBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
175: {
176:   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
177:   MatScalar      value;
178:   PetscBool      roworiented = baij->roworiented;
180:   PetscInt       i,j,row,col;
181:   PetscInt       rstart_orig=mat->rmap->rstart;
182:   PetscInt       rend_orig  =mat->rmap->rend,cstart_orig=mat->cmap->rstart;
183:   PetscInt       cend_orig  =mat->cmap->rend,bs=mat->rmap->bs;

185:   /* Some Variables required in the macro */
186:   Mat         A     = baij->A;
187:   Mat_SeqBAIJ *a    = (Mat_SeqBAIJ*)(A)->data;
188:   PetscInt    *aimax=a->imax,*ai=a->i,*ailen=a->ilen,*aj=a->j;
189:   MatScalar   *aa   =a->a;

191:   Mat         B     = baij->B;
192:   Mat_SeqBAIJ *b    = (Mat_SeqBAIJ*)(B)->data;
193:   PetscInt    *bimax=b->imax,*bi=b->i,*bilen=b->ilen,*bj=b->j;
194:   MatScalar   *ba   =b->a;

196:   PetscInt  *rp,ii,nrow,_i,rmax,N,brow,bcol;
197:   PetscInt  low,high,t,ridx,cidx,bs2=a->bs2;
198:   MatScalar *ap,*bap;

201:   for (i=0; i<m; i++) {
202:     if (im[i] < 0) continue;
203: #if defined(PETSC_USE_DEBUG)
204:     if (im[i] >= mat->rmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",im[i],mat->rmap->N-1);
205: #endif
206:     if (im[i] >= rstart_orig && im[i] < rend_orig) {
207:       row = im[i] - rstart_orig;
208:       for (j=0; j<n; j++) {
209:         if (in[j] >= cstart_orig && in[j] < cend_orig) {
210:           col = in[j] - cstart_orig;
211:           if (roworiented) value = v[i*n+j];
212:           else             value = v[i+j*m];
213:           MatSetValues_SeqBAIJ_A_Private(row,col,value,addv,im[i],in[j]);
214:           /* MatSetValues_SeqBAIJ(baij->A,1,&row,1,&col,&value,addv); */
215:         } else if (in[j] < 0) continue;
216: #if defined(PETSC_USE_DEBUG)
217:         else if (in[j] >= mat->cmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[j],mat->cmap->N-1);
218: #endif
219:         else {
220:           if (mat->was_assembled) {
221:             if (!baij->colmap) {
222:               MatCreateColmap_MPIBAIJ_Private(mat);
223:             }
224: #if defined(PETSC_USE_CTABLE)
225:             PetscTableFind(baij->colmap,in[j]/bs + 1,&col);
226:             col  = col - 1;
227: #else
228:             col = baij->colmap[in[j]/bs] - 1;
229: #endif
230:             if (col < 0 && !((Mat_SeqBAIJ*)(baij->B->data))->nonew) {
231:               MatDisAssemble_MPIBAIJ(mat);
232:               col  =  in[j];
233:               /* Reinitialize the variables required by MatSetValues_SeqBAIJ_B_Private() */
234:               B    = baij->B;
235:               b    = (Mat_SeqBAIJ*)(B)->data;
236:               bimax=b->imax;bi=b->i;bilen=b->ilen;bj=b->j;
237:               ba   =b->a;
238:             } else if (col < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) into matrix", im[i], in[j]);
239:             else col += in[j]%bs;
240:           } else col = in[j];
241:           if (roworiented) value = v[i*n+j];
242:           else             value = v[i+j*m];
243:           MatSetValues_SeqBAIJ_B_Private(row,col,value,addv,im[i],in[j]);
244:           /* MatSetValues_SeqBAIJ(baij->B,1,&row,1,&col,&value,addv); */
245:         }
246:       }
247:     } else {
248:       if (mat->nooffprocentries) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Setting off process row %D even though MatSetOption(,MAT_NO_OFF_PROC_ENTRIES,PETSC_TRUE) was set",im[i]);
249:       if (!baij->donotstash) {
250:         mat->assembled = PETSC_FALSE;
251:         if (roworiented) {
252:           MatStashValuesRow_Private(&mat->stash,im[i],n,in,v+i*n,PETSC_FALSE);
253:         } else {
254:           MatStashValuesCol_Private(&mat->stash,im[i],n,in,v+i,m,PETSC_FALSE);
255:         }
256:       }
257:     }
258:   }
259:   return(0);
260: }

262: PETSC_STATIC_INLINE PetscErrorCode MatSetValuesBlocked_SeqBAIJ_Inlined(Mat A,PetscInt row,PetscInt col,const PetscScalar v[],InsertMode is,PetscInt orow,PetscInt ocol)
263: {
264:   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
265:   PetscInt          *rp,low,high,t,ii,jj,nrow,i,rmax,N;
266:   PetscInt          *imax=a->imax,*ai=a->i,*ailen=a->ilen;
267:   PetscErrorCode    ierr;
268:   PetscInt          *aj        =a->j,nonew=a->nonew,bs2=a->bs2,bs=A->rmap->bs;
269:   PetscBool         roworiented=a->roworiented;
270:   const PetscScalar *value     = v;
271:   MatScalar         *ap,*aa = a->a,*bap;

274:   rp   = aj + ai[row];
275:   ap   = aa + bs2*ai[row];
276:   rmax = imax[row];
277:   nrow = ailen[row];
278:   value = v;
279:   low = 0;
280:   high = nrow;
281:   while (high-low > 7) {
282:     t = (low+high)/2;
283:     if (rp[t] > col) high = t;
284:     else             low  = t;
285:   }
286:   for (i=low; i<high; i++) {
287:     if (rp[i] > col) break;
288:     if (rp[i] == col) {
289:       bap = ap +  bs2*i;
290:       if (roworiented) {
291:         if (is == ADD_VALUES) {
292:           for (ii=0; ii<bs; ii++) {
293:             for (jj=ii; jj<bs2; jj+=bs) {
294:               bap[jj] += *value++;
295:             }
296:           }
297:         } else {
298:           for (ii=0; ii<bs; ii++) {
299:             for (jj=ii; jj<bs2; jj+=bs) {
300:               bap[jj] = *value++;
301:             }
302:           }
303:         }
304:       } else {
305:         if (is == ADD_VALUES) {
306:           for (ii=0; ii<bs; ii++,value+=bs) {
307:             for (jj=0; jj<bs; jj++) {
308:               bap[jj] += value[jj];
309:             }
310:             bap += bs;
311:           }
312:         } else {
313:           for (ii=0; ii<bs; ii++,value+=bs) {
314:             for (jj=0; jj<bs; jj++) {
315:               bap[jj]  = value[jj];
316:             }
317:             bap += bs;
318:           }
319:         }
320:       }
321:       goto noinsert2;
322:     }
323:   }
324:   if (nonew == 1) goto noinsert2;
325:   if (nonew == -1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new global block indexed nonzero block (%D, %D) in the matrix", orow, ocol);
326:   MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
327:   N = nrow++ - 1; high++;
328:   /* shift up all the later entries in this row */
329:   for (ii=N; ii>=i; ii--) {
330:     rp[ii+1] = rp[ii];
331:     PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));
332:   }
333:   if (N >= i) {
334:     PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));
335:   }
336:   rp[i] = col;
337:   bap   = ap +  bs2*i;
338:   if (roworiented) {
339:     for (ii=0; ii<bs; ii++) {
340:       for (jj=ii; jj<bs2; jj+=bs) {
341:         bap[jj] = *value++;
342:       }
343:     }
344:   } else {
345:     for (ii=0; ii<bs; ii++) {
346:       for (jj=0; jj<bs; jj++) {
347:         *bap++ = *value++;
348:       }
349:     }
350:   }
351:   noinsert2:;
352:   ailen[row] = nrow;
353:   return(0);
354: }

356: /*
357:     This routine should be optimized so that the block copy at ** Here a copy is required ** below is not needed
358:     by passing additional stride information into the MatSetValuesBlocked_SeqBAIJ_Inlined() routine
359: */
360: PetscErrorCode MatSetValuesBlocked_MPIBAIJ(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
361: {
362:   Mat_MPIBAIJ       *baij = (Mat_MPIBAIJ*)mat->data;
363:   const PetscScalar *value;
364:   MatScalar         *barray     = baij->barray;
365:   PetscBool         roworiented = baij->roworiented;
366:   PetscErrorCode    ierr;
367:   PetscInt          i,j,ii,jj,row,col,rstart=baij->rstartbs;
368:   PetscInt          rend=baij->rendbs,cstart=baij->cstartbs,stepval;
369:   PetscInt          cend=baij->cendbs,bs=mat->rmap->bs,bs2=baij->bs2;

372:   if (!barray) {
373:     PetscMalloc1(bs2,&barray);
374:     baij->barray = barray;
375:   }

377:   if (roworiented) stepval = (n-1)*bs;
378:   else stepval = (m-1)*bs;

380:   for (i=0; i<m; i++) {
381:     if (im[i] < 0) continue;
382: #if defined(PETSC_USE_DEBUG)
383:     if (im[i] >= baij->Mbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Block indexed row too large %D max %D",im[i],baij->Mbs-1);
384: #endif
385:     if (im[i] >= rstart && im[i] < rend) {
386:       row = im[i] - rstart;
387:       for (j=0; j<n; j++) {
388:         /* If NumCol = 1 then a copy is not required */
389:         if ((roworiented) && (n == 1)) {
390:           barray = (MatScalar*)v + i*bs2;
391:         } else if ((!roworiented) && (m == 1)) {
392:           barray = (MatScalar*)v + j*bs2;
393:         } else { /* Here a copy is required */
394:           if (roworiented) {
395:             value = v + (i*(stepval+bs) + j)*bs;
396:           } else {
397:             value = v + (j*(stepval+bs) + i)*bs;
398:           }
399:           for (ii=0; ii<bs; ii++,value+=bs+stepval) {
400:             for (jj=0; jj<bs; jj++) barray[jj] = value[jj];
401:             barray += bs;
402:           }
403:           barray -= bs2;
404:         }

406:         if (in[j] >= cstart && in[j] < cend) {
407:           col  = in[j] - cstart;
408:           MatSetValuesBlocked_SeqBAIJ_Inlined(baij->A,row,col,barray,addv,im[i],in[j]);
409:         } else if (in[j] < 0) continue;
410: #if defined(PETSC_USE_DEBUG)
411:         else if (in[j] >= baij->Nbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Block indexed column too large %D max %D",in[j],baij->Nbs-1);
412: #endif
413:         else {
414:           if (mat->was_assembled) {
415:             if (!baij->colmap) {
416:               MatCreateColmap_MPIBAIJ_Private(mat);
417:             }

419: #if defined(PETSC_USE_DEBUG)
420: #if defined(PETSC_USE_CTABLE)
421:             { PetscInt data;
422:               PetscTableFind(baij->colmap,in[j]+1,&data);
423:               if ((data - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
424:             }
425: #else
426:             if ((baij->colmap[in[j]] - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
427: #endif
428: #endif
429: #if defined(PETSC_USE_CTABLE)
430:             PetscTableFind(baij->colmap,in[j]+1,&col);
431:             col  = (col - 1)/bs;
432: #else
433:             col = (baij->colmap[in[j]] - 1)/bs;
434: #endif
435:             if (col < 0 && !((Mat_SeqBAIJ*)(baij->B->data))->nonew) {
436:               MatDisAssemble_MPIBAIJ(mat);
437:               col  =  in[j];
438:             } else if (col < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new blocked indexed nonzero block (%D, %D) into matrix",im[i],in[j]);
439:           } else col = in[j];
440:           MatSetValuesBlocked_SeqBAIJ_Inlined(baij->B,row,col,barray,addv,im[i],in[j]);
441:         }
442:       }
443:     } else {
444:       if (mat->nooffprocentries) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Setting off process block indexed row %D even though MatSetOption(,MAT_NO_OFF_PROC_ENTRIES,PETSC_TRUE) was set",im[i]);
445:       if (!baij->donotstash) {
446:         if (roworiented) {
447:           MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);
448:         } else {
449:           MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);
450:         }
451:       }
452:     }
453:   }
454:   return(0);
455: }

457: #define HASH_KEY 0.6180339887
458: #define HASH(size,key,tmp) (tmp = (key)*HASH_KEY,(PetscInt)((size)*(tmp-(PetscInt)tmp)))
459: /* #define HASH(size,key) ((PetscInt)((size)*fmod(((key)*HASH_KEY),1))) */
460: /* #define HASH(size,key,tmp) ((PetscInt)((size)*fmod(((key)*HASH_KEY),1))) */
461: PetscErrorCode MatSetValues_MPIBAIJ_HT(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
462: {
463:   Mat_MPIBAIJ    *baij       = (Mat_MPIBAIJ*)mat->data;
464:   PetscBool      roworiented = baij->roworiented;
466:   PetscInt       i,j,row,col;
467:   PetscInt       rstart_orig=mat->rmap->rstart;
468:   PetscInt       rend_orig  =mat->rmap->rend,Nbs=baij->Nbs;
469:   PetscInt       h1,key,size=baij->ht_size,bs=mat->rmap->bs,*HT=baij->ht,idx;
470:   PetscReal      tmp;
471:   MatScalar      **HD = baij->hd,value;
472: #if defined(PETSC_USE_DEBUG)
473:   PetscInt       total_ct=baij->ht_total_ct,insert_ct=baij->ht_insert_ct;
474: #endif

477:   for (i=0; i<m; i++) {
478: #if defined(PETSC_USE_DEBUG)
479:     if (im[i] < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row");
480:     if (im[i] >= mat->rmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",im[i],mat->rmap->N-1);
481: #endif
482:     row = im[i];
483:     if (row >= rstart_orig && row < rend_orig) {
484:       for (j=0; j<n; j++) {
485:         col = in[j];
486:         if (roworiented) value = v[i*n+j];
487:         else             value = v[i+j*m];
488:         /* Look up PetscInto the Hash Table */
489:         key = (row/bs)*Nbs+(col/bs)+1;
490:         h1  = HASH(size,key,tmp);


493:         idx = h1;
494: #if defined(PETSC_USE_DEBUG)
495:         insert_ct++;
496:         total_ct++;
497:         if (HT[idx] != key) {
498:           for (idx=h1; (idx<size) && (HT[idx]!=key); idx++,total_ct++) ;
499:           if (idx == size) {
500:             for (idx=0; (idx<h1) && (HT[idx]!=key); idx++,total_ct++) ;
501:             if (idx == h1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"(%D,%D) has no entry in the hash table", row, col);
502:           }
503:         }
504: #else
505:         if (HT[idx] != key) {
506:           for (idx=h1; (idx<size) && (HT[idx]!=key); idx++) ;
507:           if (idx == size) {
508:             for (idx=0; (idx<h1) && (HT[idx]!=key); idx++) ;
509:             if (idx == h1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"(%D,%D) has no entry in the hash table", row, col);
510:           }
511:         }
512: #endif
513:         /* A HASH table entry is found, so insert the values at the correct address */
514:         if (addv == ADD_VALUES) *(HD[idx]+ (col % bs)*bs + (row % bs)) += value;
515:         else                    *(HD[idx]+ (col % bs)*bs + (row % bs))  = value;
516:       }
517:     } else if (!baij->donotstash) {
518:       if (roworiented) {
519:         MatStashValuesRow_Private(&mat->stash,im[i],n,in,v+i*n,PETSC_FALSE);
520:       } else {
521:         MatStashValuesCol_Private(&mat->stash,im[i],n,in,v+i,m,PETSC_FALSE);
522:       }
523:     }
524:   }
525: #if defined(PETSC_USE_DEBUG)
526:   baij->ht_total_ct  += total_ct;
527:   baij->ht_insert_ct += insert_ct;
528: #endif
529:   return(0);
530: }

532: PetscErrorCode MatSetValuesBlocked_MPIBAIJ_HT(Mat mat,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode addv)
533: {
534:   Mat_MPIBAIJ       *baij       = (Mat_MPIBAIJ*)mat->data;
535:   PetscBool         roworiented = baij->roworiented;
536:   PetscErrorCode    ierr;
537:   PetscInt          i,j,ii,jj,row,col;
538:   PetscInt          rstart=baij->rstartbs;
539:   PetscInt          rend  =mat->rmap->rend,stepval,bs=mat->rmap->bs,bs2=baij->bs2,nbs2=n*bs2;
540:   PetscInt          h1,key,size=baij->ht_size,idx,*HT=baij->ht,Nbs=baij->Nbs;
541:   PetscReal         tmp;
542:   MatScalar         **HD = baij->hd,*baij_a;
543:   const PetscScalar *v_t,*value;
544: #if defined(PETSC_USE_DEBUG)
545:   PetscInt          total_ct=baij->ht_total_ct,insert_ct=baij->ht_insert_ct;
546: #endif

549:   if (roworiented) stepval = (n-1)*bs;
550:   else stepval = (m-1)*bs;

552:   for (i=0; i<m; i++) {
553: #if defined(PETSC_USE_DEBUG)
554:     if (im[i] < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",im[i]);
555:     if (im[i] >= baij->Mbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",im[i],baij->Mbs-1);
556: #endif
557:     row = im[i];
558:     v_t = v + i*nbs2;
559:     if (row >= rstart && row < rend) {
560:       for (j=0; j<n; j++) {
561:         col = in[j];

563:         /* Look up into the Hash Table */
564:         key = row*Nbs+col+1;
565:         h1  = HASH(size,key,tmp);

567:         idx = h1;
568: #if defined(PETSC_USE_DEBUG)
569:         total_ct++;
570:         insert_ct++;
571:         if (HT[idx] != key) {
572:           for (idx=h1; (idx<size) && (HT[idx]!=key); idx++,total_ct++) ;
573:           if (idx == size) {
574:             for (idx=0; (idx<h1) && (HT[idx]!=key); idx++,total_ct++) ;
575:             if (idx == h1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"(%D,%D) has no entry in the hash table", row, col);
576:           }
577:         }
578: #else
579:         if (HT[idx] != key) {
580:           for (idx=h1; (idx<size) && (HT[idx]!=key); idx++) ;
581:           if (idx == size) {
582:             for (idx=0; (idx<h1) && (HT[idx]!=key); idx++) ;
583:             if (idx == h1) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"(%D,%D) has no entry in the hash table", row, col);
584:           }
585:         }
586: #endif
587:         baij_a = HD[idx];
588:         if (roworiented) {
589:           /*value = v + i*(stepval+bs)*bs + j*bs;*/
590:           /* value = v + (i*(stepval+bs)+j)*bs; */
591:           value = v_t;
592:           v_t  += bs;
593:           if (addv == ADD_VALUES) {
594:             for (ii=0; ii<bs; ii++,value+=stepval) {
595:               for (jj=ii; jj<bs2; jj+=bs) {
596:                 baij_a[jj] += *value++;
597:               }
598:             }
599:           } else {
600:             for (ii=0; ii<bs; ii++,value+=stepval) {
601:               for (jj=ii; jj<bs2; jj+=bs) {
602:                 baij_a[jj] = *value++;
603:               }
604:             }
605:           }
606:         } else {
607:           value = v + j*(stepval+bs)*bs + i*bs;
608:           if (addv == ADD_VALUES) {
609:             for (ii=0; ii<bs; ii++,value+=stepval,baij_a+=bs) {
610:               for (jj=0; jj<bs; jj++) {
611:                 baij_a[jj] += *value++;
612:               }
613:             }
614:           } else {
615:             for (ii=0; ii<bs; ii++,value+=stepval,baij_a+=bs) {
616:               for (jj=0; jj<bs; jj++) {
617:                 baij_a[jj] = *value++;
618:               }
619:             }
620:           }
621:         }
622:       }
623:     } else {
624:       if (!baij->donotstash) {
625:         if (roworiented) {
626:           MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);
627:         } else {
628:           MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);
629:         }
630:       }
631:     }
632:   }
633: #if defined(PETSC_USE_DEBUG)
634:   baij->ht_total_ct  += total_ct;
635:   baij->ht_insert_ct += insert_ct;
636: #endif
637:   return(0);
638: }

640: PetscErrorCode MatGetValues_MPIBAIJ(Mat mat,PetscInt m,const PetscInt idxm[],PetscInt n,const PetscInt idxn[],PetscScalar v[])
641: {
642:   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
644:   PetscInt       bs       = mat->rmap->bs,i,j,bsrstart = mat->rmap->rstart,bsrend = mat->rmap->rend;
645:   PetscInt       bscstart = mat->cmap->rstart,bscend = mat->cmap->rend,row,col,data;

648:   for (i=0; i<m; i++) {
649:     if (idxm[i] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row: %D",idxm[i]);*/
650:     if (idxm[i] >= mat->rmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",idxm[i],mat->rmap->N-1);
651:     if (idxm[i] >= bsrstart && idxm[i] < bsrend) {
652:       row = idxm[i] - bsrstart;
653:       for (j=0; j<n; j++) {
654:         if (idxn[j] < 0) continue; /* SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column: %D",idxn[j]); */
655:         if (idxn[j] >= mat->cmap->N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",idxn[j],mat->cmap->N-1);
656:         if (idxn[j] >= bscstart && idxn[j] < bscend) {
657:           col  = idxn[j] - bscstart;
658:           MatGetValues_SeqBAIJ(baij->A,1,&row,1,&col,v+i*n+j);
659:         } else {
660:           if (!baij->colmap) {
661:             MatCreateColmap_MPIBAIJ_Private(mat);
662:           }
663: #if defined(PETSC_USE_CTABLE)
664:           PetscTableFind(baij->colmap,idxn[j]/bs+1,&data);
665:           data--;
666: #else
667:           data = baij->colmap[idxn[j]/bs]-1;
668: #endif
669:           if ((data < 0) || (baij->garray[data/bs] != idxn[j]/bs)) *(v+i*n+j) = 0.0;
670:           else {
671:             col  = data + idxn[j]%bs;
672:             MatGetValues_SeqBAIJ(baij->B,1,&row,1,&col,v+i*n+j);
673:           }
674:         }
675:       }
676:     } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local values currently supported");
677:   }
678:   return(0);
679: }

681: PetscErrorCode MatNorm_MPIBAIJ(Mat mat,NormType type,PetscReal *nrm)
682: {
683:   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
684:   Mat_SeqBAIJ    *amat = (Mat_SeqBAIJ*)baij->A->data,*bmat = (Mat_SeqBAIJ*)baij->B->data;
686:   PetscInt       i,j,bs2=baij->bs2,bs=baij->A->rmap->bs,nz,row,col;
687:   PetscReal      sum = 0.0;
688:   MatScalar      *v;

691:   if (baij->size == 1) {
692:      MatNorm(baij->A,type,nrm);
693:   } else {
694:     if (type == NORM_FROBENIUS) {
695:       v  = amat->a;
696:       nz = amat->nz*bs2;
697:       for (i=0; i<nz; i++) {
698:         sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
699:       }
700:       v  = bmat->a;
701:       nz = bmat->nz*bs2;
702:       for (i=0; i<nz; i++) {
703:         sum += PetscRealPart(PetscConj(*v)*(*v)); v++;
704:       }
705:       MPIU_Allreduce(&sum,nrm,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)mat));
706:       *nrm = PetscSqrtReal(*nrm);
707:     } else if (type == NORM_1) { /* max column sum */
708:       PetscReal *tmp,*tmp2;
709:       PetscInt  *jj,*garray=baij->garray,cstart=baij->rstartbs;
710:       PetscMalloc2(mat->cmap->N,&tmp,mat->cmap->N,&tmp2);
711:       PetscMemzero(tmp,mat->cmap->N*sizeof(PetscReal));
712:       v    = amat->a; jj = amat->j;
713:       for (i=0; i<amat->nz; i++) {
714:         for (j=0; j<bs; j++) {
715:           col = bs*(cstart + *jj) + j; /* column index */
716:           for (row=0; row<bs; row++) {
717:             tmp[col] += PetscAbsScalar(*v);  v++;
718:           }
719:         }
720:         jj++;
721:       }
722:       v = bmat->a; jj = bmat->j;
723:       for (i=0; i<bmat->nz; i++) {
724:         for (j=0; j<bs; j++) {
725:           col = bs*garray[*jj] + j;
726:           for (row=0; row<bs; row++) {
727:             tmp[col] += PetscAbsScalar(*v); v++;
728:           }
729:         }
730:         jj++;
731:       }
732:       MPIU_Allreduce(tmp,tmp2,mat->cmap->N,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)mat));
733:       *nrm = 0.0;
734:       for (j=0; j<mat->cmap->N; j++) {
735:         if (tmp2[j] > *nrm) *nrm = tmp2[j];
736:       }
737:       PetscFree2(tmp,tmp2);
738:     } else if (type == NORM_INFINITY) { /* max row sum */
739:       PetscReal *sums;
740:       PetscMalloc1(bs,&sums);
741:       sum  = 0.0;
742:       for (j=0; j<amat->mbs; j++) {
743:         for (row=0; row<bs; row++) sums[row] = 0.0;
744:         v  = amat->a + bs2*amat->i[j];
745:         nz = amat->i[j+1]-amat->i[j];
746:         for (i=0; i<nz; i++) {
747:           for (col=0; col<bs; col++) {
748:             for (row=0; row<bs; row++) {
749:               sums[row] += PetscAbsScalar(*v); v++;
750:             }
751:           }
752:         }
753:         v  = bmat->a + bs2*bmat->i[j];
754:         nz = bmat->i[j+1]-bmat->i[j];
755:         for (i=0; i<nz; i++) {
756:           for (col=0; col<bs; col++) {
757:             for (row=0; row<bs; row++) {
758:               sums[row] += PetscAbsScalar(*v); v++;
759:             }
760:           }
761:         }
762:         for (row=0; row<bs; row++) {
763:           if (sums[row] > sum) sum = sums[row];
764:         }
765:       }
766:       MPIU_Allreduce(&sum,nrm,1,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)mat));
767:       PetscFree(sums);
768:     } else SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"No support for this norm yet");
769:   }
770:   return(0);
771: }

773: /*
774:   Creates the hash table, and sets the table
775:   This table is created only once.
776:   If new entried need to be added to the matrix
777:   then the hash table has to be destroyed and
778:   recreated.
779: */
780: PetscErrorCode MatCreateHashTable_MPIBAIJ_Private(Mat mat,PetscReal factor)
781: {
782:   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
783:   Mat            A     = baij->A,B=baij->B;
784:   Mat_SeqBAIJ    *a    = (Mat_SeqBAIJ*)A->data,*b=(Mat_SeqBAIJ*)B->data;
785:   PetscInt       i,j,k,nz=a->nz+b->nz,h1,*ai=a->i,*aj=a->j,*bi=b->i,*bj=b->j;
787:   PetscInt       ht_size,bs2=baij->bs2,rstart=baij->rstartbs;
788:   PetscInt       cstart=baij->cstartbs,*garray=baij->garray,row,col,Nbs=baij->Nbs;
789:   PetscInt       *HT,key;
790:   MatScalar      **HD;
791:   PetscReal      tmp;
792: #if defined(PETSC_USE_INFO)
793:   PetscInt ct=0,max=0;
794: #endif

797:   if (baij->ht) return(0);

799:   baij->ht_size = (PetscInt)(factor*nz);
800:   ht_size       = baij->ht_size;

802:   /* Allocate Memory for Hash Table */
803:   PetscCalloc2(ht_size,&baij->hd,ht_size,&baij->ht);
804:   HD   = baij->hd;
805:   HT   = baij->ht;

807:   /* Loop Over A */
808:   for (i=0; i<a->mbs; i++) {
809:     for (j=ai[i]; j<ai[i+1]; j++) {
810:       row = i+rstart;
811:       col = aj[j]+cstart;

813:       key = row*Nbs + col + 1;
814:       h1  = HASH(ht_size,key,tmp);
815:       for (k=0; k<ht_size; k++) {
816:         if (!HT[(h1+k)%ht_size]) {
817:           HT[(h1+k)%ht_size] = key;
818:           HD[(h1+k)%ht_size] = a->a + j*bs2;
819:           break;
820: #if defined(PETSC_USE_INFO)
821:         } else {
822:           ct++;
823: #endif
824:         }
825:       }
826: #if defined(PETSC_USE_INFO)
827:       if (k> max) max = k;
828: #endif
829:     }
830:   }
831:   /* Loop Over B */
832:   for (i=0; i<b->mbs; i++) {
833:     for (j=bi[i]; j<bi[i+1]; j++) {
834:       row = i+rstart;
835:       col = garray[bj[j]];
836:       key = row*Nbs + col + 1;
837:       h1  = HASH(ht_size,key,tmp);
838:       for (k=0; k<ht_size; k++) {
839:         if (!HT[(h1+k)%ht_size]) {
840:           HT[(h1+k)%ht_size] = key;
841:           HD[(h1+k)%ht_size] = b->a + j*bs2;
842:           break;
843: #if defined(PETSC_USE_INFO)
844:         } else {
845:           ct++;
846: #endif
847:         }
848:       }
849: #if defined(PETSC_USE_INFO)
850:       if (k> max) max = k;
851: #endif
852:     }
853:   }

855:   /* Print Summary */
856: #if defined(PETSC_USE_INFO)
857:   for (i=0,j=0; i<ht_size; i++) {
858:     if (HT[i]) j++;
859:   }
860:   PetscInfo2(mat,"Average Search = %5.2f,max search = %D\n",(!j)? 0.0:((PetscReal)(ct+j))/j,max);
861: #endif
862:   return(0);
863: }

865: PetscErrorCode MatAssemblyBegin_MPIBAIJ(Mat mat,MatAssemblyType mode)
866: {
867:   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
869:   PetscInt       nstash,reallocs;

872:   if (baij->donotstash || mat->nooffprocentries) return(0);

874:   MatStashScatterBegin_Private(mat,&mat->stash,mat->rmap->range);
875:   MatStashScatterBegin_Private(mat,&mat->bstash,baij->rangebs);
876:   MatStashGetInfo_Private(&mat->stash,&nstash,&reallocs);
877:   PetscInfo2(mat,"Stash has %D entries,uses %D mallocs.\n",nstash,reallocs);
878:   MatStashGetInfo_Private(&mat->bstash,&nstash,&reallocs);
879:   PetscInfo2(mat,"Block-Stash has %D entries, uses %D mallocs.\n",nstash,reallocs);
880:   return(0);
881: }

883: PetscErrorCode MatAssemblyEnd_MPIBAIJ(Mat mat,MatAssemblyType mode)
884: {
885:   Mat_MPIBAIJ    *baij=(Mat_MPIBAIJ*)mat->data;
886:   Mat_SeqBAIJ    *a   =(Mat_SeqBAIJ*)baij->A->data;
888:   PetscInt       i,j,rstart,ncols,flg,bs2=baij->bs2;
889:   PetscInt       *row,*col;
890:   PetscBool      r1,r2,r3,other_disassembled;
891:   MatScalar      *val;
892:   PetscMPIInt    n;

895:   /* do not use 'b=(Mat_SeqBAIJ*)baij->B->data' as B can be reset in disassembly */
896:   if (!baij->donotstash && !mat->nooffprocentries) {
897:     while (1) {
898:       MatStashScatterGetMesg_Private(&mat->stash,&n,&row,&col,&val,&flg);
899:       if (!flg) break;

901:       for (i=0; i<n;) {
902:         /* Now identify the consecutive vals belonging to the same row */
903:         for (j=i,rstart=row[j]; j<n; j++) {
904:           if (row[j] != rstart) break;
905:         }
906:         if (j < n) ncols = j-i;
907:         else       ncols = n-i;
908:         /* Now assemble all these values with a single function call */
909:         MatSetValues_MPIBAIJ(mat,1,row+i,ncols,col+i,val+i,mat->insertmode);
910:         i    = j;
911:       }
912:     }
913:     MatStashScatterEnd_Private(&mat->stash);
914:     /* Now process the block-stash. Since the values are stashed column-oriented,
915:        set the roworiented flag to column oriented, and after MatSetValues()
916:        restore the original flags */
917:     r1 = baij->roworiented;
918:     r2 = a->roworiented;
919:     r3 = ((Mat_SeqBAIJ*)baij->B->data)->roworiented;

921:     baij->roworiented = PETSC_FALSE;
922:     a->roworiented    = PETSC_FALSE;

924:     (((Mat_SeqBAIJ*)baij->B->data))->roworiented = PETSC_FALSE; /* b->roworiented */
925:     while (1) {
926:       MatStashScatterGetMesg_Private(&mat->bstash,&n,&row,&col,&val,&flg);
927:       if (!flg) break;

929:       for (i=0; i<n;) {
930:         /* Now identify the consecutive vals belonging to the same row */
931:         for (j=i,rstart=row[j]; j<n; j++) {
932:           if (row[j] != rstart) break;
933:         }
934:         if (j < n) ncols = j-i;
935:         else       ncols = n-i;
936:         MatSetValuesBlocked_MPIBAIJ(mat,1,row+i,ncols,col+i,val+i*bs2,mat->insertmode);
937:         i    = j;
938:       }
939:     }
940:     MatStashScatterEnd_Private(&mat->bstash);

942:     baij->roworiented = r1;
943:     a->roworiented    = r2;

945:     ((Mat_SeqBAIJ*)baij->B->data)->roworiented = r3; /* b->roworiented */
946:   }

948:   MatAssemblyBegin(baij->A,mode);
949:   MatAssemblyEnd(baij->A,mode);

951:   /* determine if any processor has disassembled, if so we must
952:      also disassemble ourselfs, in order that we may reassemble. */
953:   /*
954:      if nonzero structure of submatrix B cannot change then we know that
955:      no processor disassembled thus we can skip this stuff
956:   */
957:   if (!((Mat_SeqBAIJ*)baij->B->data)->nonew) {
958:     MPIU_Allreduce(&mat->was_assembled,&other_disassembled,1,MPIU_BOOL,MPI_PROD,PetscObjectComm((PetscObject)mat));
959:     if (mat->was_assembled && !other_disassembled) {
960:       MatDisAssemble_MPIBAIJ(mat);
961:     }
962:   }

964:   if (!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) {
965:     MatSetUpMultiply_MPIBAIJ(mat);
966:   }
967:   MatAssemblyBegin(baij->B,mode);
968:   MatAssemblyEnd(baij->B,mode);

970: #if defined(PETSC_USE_INFO)
971:   if (baij->ht && mode== MAT_FINAL_ASSEMBLY) {
972:     PetscInfo1(mat,"Average Hash Table Search in MatSetValues = %5.2f\n",(double)((PetscReal)baij->ht_total_ct)/baij->ht_insert_ct);

974:     baij->ht_total_ct  = 0;
975:     baij->ht_insert_ct = 0;
976:   }
977: #endif
978:   if (baij->ht_flag && !baij->ht && mode == MAT_FINAL_ASSEMBLY) {
979:     MatCreateHashTable_MPIBAIJ_Private(mat,baij->ht_fact);

981:     mat->ops->setvalues        = MatSetValues_MPIBAIJ_HT;
982:     mat->ops->setvaluesblocked = MatSetValuesBlocked_MPIBAIJ_HT;
983:   }

985:   PetscFree2(baij->rowvalues,baij->rowindices);

987:   baij->rowvalues = 0;

989:   /* if no new nonzero locations are allowed in matrix then only set the matrix state the first time through */
990:   if ((!mat->was_assembled && mode == MAT_FINAL_ASSEMBLY) || !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
991:     PetscObjectState state = baij->A->nonzerostate + baij->B->nonzerostate;
992:     MPIU_Allreduce(&state,&mat->nonzerostate,1,MPIU_INT64,MPI_SUM,PetscObjectComm((PetscObject)mat));
993:   }
994:   return(0);
995: }

997: extern PetscErrorCode MatView_SeqBAIJ(Mat,PetscViewer);
998:  #include <petscdraw.h>
999: static PetscErrorCode MatView_MPIBAIJ_ASCIIorDraworSocket(Mat mat,PetscViewer viewer)
1000: {
1001:   Mat_MPIBAIJ       *baij = (Mat_MPIBAIJ*)mat->data;
1002:   PetscErrorCode    ierr;
1003:   PetscMPIInt       rank = baij->rank;
1004:   PetscInt          bs   = mat->rmap->bs;
1005:   PetscBool         iascii,isdraw;
1006:   PetscViewer       sviewer;
1007:   PetscViewerFormat format;

1010:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);
1011:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);
1012:   if (iascii) {
1013:     PetscViewerGetFormat(viewer,&format);
1014:     if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
1015:       MatInfo info;
1016:       MPI_Comm_rank(PetscObjectComm((PetscObject)mat),&rank);
1017:       MatGetInfo(mat,MAT_LOCAL,&info);
1018:       PetscViewerASCIIPushSynchronized(viewer);
1019:       PetscViewerASCIISynchronizedPrintf(viewer,"[%d] Local rows %D nz %D nz alloced %D bs %D mem %g\n",
1020:                                                 rank,mat->rmap->n,(PetscInt)info.nz_used,(PetscInt)info.nz_allocated,mat->rmap->bs,(double)info.memory);
1021:       MatGetInfo(baij->A,MAT_LOCAL,&info);
1022:       PetscViewerASCIISynchronizedPrintf(viewer,"[%d] on-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);
1023:       MatGetInfo(baij->B,MAT_LOCAL,&info);
1024:       PetscViewerASCIISynchronizedPrintf(viewer,"[%d] off-diagonal part: nz %D \n",rank,(PetscInt)info.nz_used);
1025:       PetscViewerFlush(viewer);
1026:       PetscViewerASCIIPopSynchronized(viewer);
1027:       PetscViewerASCIIPrintf(viewer,"Information on VecScatter used in matrix-vector product: \n");
1028:       VecScatterView(baij->Mvctx,viewer);
1029:       return(0);
1030:     } else if (format == PETSC_VIEWER_ASCII_INFO) {
1031:       PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);
1032:       return(0);
1033:     } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
1034:       return(0);
1035:     }
1036:   }

1038:   if (isdraw) {
1039:     PetscDraw draw;
1040:     PetscBool isnull;
1041:     PetscViewerDrawGetDraw(viewer,0,&draw);
1042:     PetscDrawIsNull(draw,&isnull);
1043:     if (isnull) return(0);
1044:   }

1046:   {
1047:     /* assemble the entire matrix onto first processor. */
1048:     Mat         A;
1049:     Mat_SeqBAIJ *Aloc;
1050:     PetscInt    M = mat->rmap->N,N = mat->cmap->N,*ai,*aj,col,i,j,k,*rvals,mbs = baij->mbs;
1051:     MatScalar   *a;
1052:     const char  *matname;

1054:     /* Here we are creating a temporary matrix, so will assume MPIBAIJ is acceptable */
1055:     /* Perhaps this should be the type of mat? */
1056:     MatCreate(PetscObjectComm((PetscObject)mat),&A);
1057:     if (!rank) {
1058:       MatSetSizes(A,M,N,M,N);
1059:     } else {
1060:       MatSetSizes(A,0,0,M,N);
1061:     }
1062:     MatSetType(A,MATMPIBAIJ);
1063:     MatMPIBAIJSetPreallocation(A,mat->rmap->bs,0,NULL,0,NULL);
1064:     MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_FALSE);
1065:     PetscLogObjectParent((PetscObject)mat,(PetscObject)A);

1067:     /* copy over the A part */
1068:     Aloc = (Mat_SeqBAIJ*)baij->A->data;
1069:     ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
1070:     PetscMalloc1(bs,&rvals);

1072:     for (i=0; i<mbs; i++) {
1073:       rvals[0] = bs*(baij->rstartbs + i);
1074:       for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
1075:       for (j=ai[i]; j<ai[i+1]; j++) {
1076:         col = (baij->cstartbs+aj[j])*bs;
1077:         for (k=0; k<bs; k++) {
1078:           MatSetValues_MPIBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);
1079:           col++; a += bs;
1080:         }
1081:       }
1082:     }
1083:     /* copy over the B part */
1084:     Aloc = (Mat_SeqBAIJ*)baij->B->data;
1085:     ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
1086:     for (i=0; i<mbs; i++) {
1087:       rvals[0] = bs*(baij->rstartbs + i);
1088:       for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
1089:       for (j=ai[i]; j<ai[i+1]; j++) {
1090:         col = baij->garray[aj[j]]*bs;
1091:         for (k=0; k<bs; k++) {
1092:           MatSetValues_MPIBAIJ(A,bs,rvals,1,&col,a,INSERT_VALUES);
1093:           col++; a += bs;
1094:         }
1095:       }
1096:     }
1097:     PetscFree(rvals);
1098:     MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
1099:     MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
1100:     /*
1101:        Everyone has to call to draw the matrix since the graphics waits are
1102:        synchronized across all processors that share the PetscDraw object
1103:     */
1104:     PetscViewerGetSubViewer(viewer,PETSC_COMM_SELF,&sviewer);
1105:     PetscObjectGetName((PetscObject)mat,&matname);
1106:     if (!rank) {
1107:       PetscObjectSetName((PetscObject)((Mat_MPIBAIJ*)(A->data))->A,matname);
1108:       MatView_SeqBAIJ(((Mat_MPIBAIJ*)(A->data))->A,sviewer);
1109:     }
1110:     PetscViewerRestoreSubViewer(viewer,PETSC_COMM_SELF,&sviewer);
1111:     PetscViewerFlush(viewer);
1112:     MatDestroy(&A);
1113:   }
1114:   return(0);
1115: }

1117: static PetscErrorCode MatView_MPIBAIJ_Binary(Mat mat,PetscViewer viewer)
1118: {
1119:   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)mat->data;
1120:   Mat_SeqBAIJ    *A = (Mat_SeqBAIJ*)a->A->data;
1121:   Mat_SeqBAIJ    *B = (Mat_SeqBAIJ*)a->B->data;
1123:   PetscInt       i,*row_lens,*crow_lens,bs = mat->rmap->bs,j,k,bs2=a->bs2,header[4],nz,rlen;
1124:   PetscInt       *range=0,nzmax,*column_indices,cnt,col,*garray = a->garray,cstart = mat->cmap->rstart/bs,len,pcnt,l,ll;
1125:   int            fd;
1126:   PetscScalar    *column_values;
1127:   FILE           *file;
1128:   PetscMPIInt    rank,size,tag = ((PetscObject)viewer)->tag;
1129:   PetscInt       message_count,flowcontrolcount;

1132:   MPI_Comm_rank(PetscObjectComm((PetscObject)mat),&rank);
1133:   MPI_Comm_size(PetscObjectComm((PetscObject)mat),&size);
1134:   nz   = bs2*(A->nz + B->nz);
1135:   rlen = mat->rmap->n;
1136:   PetscViewerBinaryGetDescriptor(viewer,&fd);
1137:   if (!rank) {
1138:     header[0] = MAT_FILE_CLASSID;
1139:     header[1] = mat->rmap->N;
1140:     header[2] = mat->cmap->N;

1142:     MPI_Reduce(&nz,&header[3],1,MPIU_INT,MPI_SUM,0,PetscObjectComm((PetscObject)mat));
1143:     PetscBinaryWrite(fd,header,4,PETSC_INT,PETSC_TRUE);
1144:     /* get largest number of rows any processor has */
1145:     range = mat->rmap->range;
1146:     for (i=1; i<size; i++) {
1147:       rlen = PetscMax(rlen,range[i+1] - range[i]);
1148:     }
1149:   } else {
1150:     MPI_Reduce(&nz,0,1,MPIU_INT,MPI_SUM,0,PetscObjectComm((PetscObject)mat));
1151:   }

1153:   PetscMalloc1(rlen/bs,&crow_lens);
1154:   /* compute lengths of each row  */
1155:   for (i=0; i<a->mbs; i++) {
1156:     crow_lens[i] = A->i[i+1] - A->i[i] + B->i[i+1] - B->i[i];
1157:   }
1158:   /* store the row lengths to the file */
1159:   PetscViewerFlowControlStart(viewer,&message_count,&flowcontrolcount);
1160:   if (!rank) {
1161:     MPI_Status status;
1162:     PetscMalloc1(rlen,&row_lens);
1163:     rlen = (range[1] - range[0])/bs;
1164:     for (i=0; i<rlen; i++) {
1165:       for (j=0; j<bs; j++) {
1166:         row_lens[i*bs+j] = bs*crow_lens[i];
1167:       }
1168:     }
1169:     PetscBinaryWrite(fd,row_lens,bs*rlen,PETSC_INT,PETSC_TRUE);
1170:     for (i=1; i<size; i++) {
1171:       rlen = (range[i+1] - range[i])/bs;
1172:       PetscViewerFlowControlStepMaster(viewer,i,&message_count,flowcontrolcount);
1173:       MPI_Recv(crow_lens,rlen,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);
1174:       for (k=0; k<rlen; k++) {
1175:         for (j=0; j<bs; j++) {
1176:           row_lens[k*bs+j] = bs*crow_lens[k];
1177:         }
1178:       }
1179:       PetscBinaryWrite(fd,row_lens,bs*rlen,PETSC_INT,PETSC_TRUE);
1180:     }
1181:     PetscViewerFlowControlEndMaster(viewer,&message_count);
1182:     PetscFree(row_lens);
1183:   } else {
1184:     PetscViewerFlowControlStepWorker(viewer,rank,&message_count);
1185:     MPI_Send(crow_lens,mat->rmap->n/bs,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));
1186:     PetscViewerFlowControlEndWorker(viewer,&message_count);
1187:   }
1188:   PetscFree(crow_lens);

1190:   /* load up the local column indices. Include for all rows not just one for each block row since process 0 does not have the
1191:      information needed to make it for each row from a block row. This does require more communication but still not more than
1192:      the communication needed for the nonzero values  */
1193:   nzmax = nz; /*  space a largest processor needs */
1194:   MPI_Reduce(&nz,&nzmax,1,MPIU_INT,MPI_MAX,0,PetscObjectComm((PetscObject)mat));
1195:   PetscMalloc1(nzmax,&column_indices);
1196:   cnt   = 0;
1197:   for (i=0; i<a->mbs; i++) {
1198:     pcnt = cnt;
1199:     for (j=B->i[i]; j<B->i[i+1]; j++) {
1200:       if ((col = garray[B->j[j]]) > cstart) break;
1201:       for (l=0; l<bs; l++) {
1202:         column_indices[cnt++] = bs*col+l;
1203:       }
1204:     }
1205:     for (k=A->i[i]; k<A->i[i+1]; k++) {
1206:       for (l=0; l<bs; l++) {
1207:         column_indices[cnt++] = bs*(A->j[k] + cstart)+l;
1208:       }
1209:     }
1210:     for (; j<B->i[i+1]; j++) {
1211:       for (l=0; l<bs; l++) {
1212:         column_indices[cnt++] = bs*garray[B->j[j]]+l;
1213:       }
1214:     }
1215:     len = cnt - pcnt;
1216:     for (k=1; k<bs; k++) {
1217:       PetscMemcpy(&column_indices[cnt],&column_indices[pcnt],len*sizeof(PetscInt));
1218:       cnt += len;
1219:     }
1220:   }
1221:   if (cnt != nz) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Internal PETSc error: cnt = %D nz = %D",cnt,nz);

1223:   /* store the columns to the file */
1224:   PetscViewerFlowControlStart(viewer,&message_count,&flowcontrolcount);
1225:   if (!rank) {
1226:     MPI_Status status;
1227:     PetscBinaryWrite(fd,column_indices,nz,PETSC_INT,PETSC_TRUE);
1228:     for (i=1; i<size; i++) {
1229:       PetscViewerFlowControlStepMaster(viewer,i,&message_count,flowcontrolcount);
1230:       MPI_Recv(&cnt,1,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);
1231:       MPI_Recv(column_indices,cnt,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);
1232:       PetscBinaryWrite(fd,column_indices,cnt,PETSC_INT,PETSC_TRUE);
1233:     }
1234:     PetscViewerFlowControlEndMaster(viewer,&message_count);
1235:   } else {
1236:     PetscViewerFlowControlStepWorker(viewer,rank,&message_count);
1237:     MPI_Send(&cnt,1,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));
1238:     MPI_Send(column_indices,cnt,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));
1239:     PetscViewerFlowControlEndWorker(viewer,&message_count);
1240:   }
1241:   PetscFree(column_indices);

1243:   /* load up the numerical values */
1244:   PetscMalloc1(nzmax,&column_values);
1245:   cnt  = 0;
1246:   for (i=0; i<a->mbs; i++) {
1247:     rlen = bs*(B->i[i+1] - B->i[i] + A->i[i+1] - A->i[i]);
1248:     for (j=B->i[i]; j<B->i[i+1]; j++) {
1249:       if (garray[B->j[j]] > cstart) break;
1250:       for (l=0; l<bs; l++) {
1251:         for (ll=0; ll<bs; ll++) {
1252:           column_values[cnt + l*rlen + ll] = B->a[bs2*j+l+bs*ll];
1253:         }
1254:       }
1255:       cnt += bs;
1256:     }
1257:     for (k=A->i[i]; k<A->i[i+1]; k++) {
1258:       for (l=0; l<bs; l++) {
1259:         for (ll=0; ll<bs; ll++) {
1260:           column_values[cnt + l*rlen + ll] = A->a[bs2*k+l+bs*ll];
1261:         }
1262:       }
1263:       cnt += bs;
1264:     }
1265:     for (; j<B->i[i+1]; j++) {
1266:       for (l=0; l<bs; l++) {
1267:         for (ll=0; ll<bs; ll++) {
1268:           column_values[cnt + l*rlen + ll] = B->a[bs2*j+l+bs*ll];
1269:         }
1270:       }
1271:       cnt += bs;
1272:     }
1273:     cnt += (bs-1)*rlen;
1274:   }
1275:   if (cnt != nz) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Internal PETSc error: cnt = %D nz = %D",cnt,nz);

1277:   /* store the column values to the file */
1278:   PetscViewerFlowControlStart(viewer,&message_count,&flowcontrolcount);
1279:   if (!rank) {
1280:     MPI_Status status;
1281:     PetscBinaryWrite(fd,column_values,nz,PETSC_SCALAR,PETSC_TRUE);
1282:     for (i=1; i<size; i++) {
1283:       PetscViewerFlowControlStepMaster(viewer,i,&message_count,flowcontrolcount);
1284:       MPI_Recv(&cnt,1,MPIU_INT,i,tag,PetscObjectComm((PetscObject)mat),&status);
1285:       MPI_Recv(column_values,cnt,MPIU_SCALAR,i,tag,PetscObjectComm((PetscObject)mat),&status);
1286:       PetscBinaryWrite(fd,column_values,cnt,PETSC_SCALAR,PETSC_TRUE);
1287:     }
1288:     PetscViewerFlowControlEndMaster(viewer,&message_count);
1289:   } else {
1290:     PetscViewerFlowControlStepWorker(viewer,rank,&message_count);
1291:     MPI_Send(&nz,1,MPIU_INT,0,tag,PetscObjectComm((PetscObject)mat));
1292:     MPI_Send(column_values,nz,MPIU_SCALAR,0,tag,PetscObjectComm((PetscObject)mat));
1293:     PetscViewerFlowControlEndWorker(viewer,&message_count);
1294:   }
1295:   PetscFree(column_values);

1297:   PetscViewerBinaryGetInfoPointer(viewer,&file);
1298:   if (file) {
1299:     fprintf(file,"-matload_block_size %d\n",(int)mat->rmap->bs);
1300:   }
1301:   return(0);
1302: }

1304: PetscErrorCode MatView_MPIBAIJ(Mat mat,PetscViewer viewer)
1305: {
1307:   PetscBool      iascii,isdraw,issocket,isbinary;

1310:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);
1311:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);
1312:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSOCKET,&issocket);
1313:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);
1314:   if (iascii || isdraw || issocket) {
1315:     MatView_MPIBAIJ_ASCIIorDraworSocket(mat,viewer);
1316:   } else if (isbinary) {
1317:     MatView_MPIBAIJ_Binary(mat,viewer);
1318:   }
1319:   return(0);
1320: }

1322: PetscErrorCode MatDestroy_MPIBAIJ(Mat mat)
1323: {
1324:   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;

1328: #if defined(PETSC_USE_LOG)
1329:   PetscLogObjectState((PetscObject)mat,"Rows=%D,Cols=%D",mat->rmap->N,mat->cmap->N);
1330: #endif
1331:   MatStashDestroy_Private(&mat->stash);
1332:   MatStashDestroy_Private(&mat->bstash);
1333:   MatDestroy(&baij->A);
1334:   MatDestroy(&baij->B);
1335: #if defined(PETSC_USE_CTABLE)
1336:   PetscTableDestroy(&baij->colmap);
1337: #else
1338:   PetscFree(baij->colmap);
1339: #endif
1340:   PetscFree(baij->garray);
1341:   VecDestroy(&baij->lvec);
1342:   VecScatterDestroy(&baij->Mvctx);
1343:   PetscFree2(baij->rowvalues,baij->rowindices);
1344:   PetscFree(baij->barray);
1345:   PetscFree2(baij->hd,baij->ht);
1346:   PetscFree(baij->rangebs);
1347:   PetscFree(mat->data);

1349:   PetscObjectChangeTypeName((PetscObject)mat,0);
1350:   PetscObjectComposeFunction((PetscObject)mat,"MatStoreValues_C",NULL);
1351:   PetscObjectComposeFunction((PetscObject)mat,"MatRetrieveValues_C",NULL);
1352:   PetscObjectComposeFunction((PetscObject)mat,"MatMPIBAIJSetPreallocation_C",NULL);
1353:   PetscObjectComposeFunction((PetscObject)mat,"MatMPIBAIJSetPreallocationCSR_C",NULL);
1354:   PetscObjectComposeFunction((PetscObject)mat,"MatDiagonalScaleLocal_C",NULL);
1355:   PetscObjectComposeFunction((PetscObject)mat,"MatSetHashTableFactor_C",NULL);
1356:   PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpibaij_mpisbaij_C",NULL);
1357:   PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpibaij_mpibstrm_C",NULL);
1358: #if defined(PETSC_HAVE_HYPRE)
1359:   PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpibaij_hypre_C",NULL);
1360: #endif
1361:   PetscObjectComposeFunction((PetscObject)mat,"MatConvert_mpibaij_is_C",NULL);
1362:   PetscObjectComposeFunction((PetscObject)mat,"MatPtAP_is_mpibaij_C",NULL);
1363:   return(0);
1364: }

1366: PetscErrorCode MatMult_MPIBAIJ(Mat A,Vec xx,Vec yy)
1367: {
1368:   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1370:   PetscInt       nt;

1373:   VecGetLocalSize(xx,&nt);
1374:   if (nt != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible partition of A and xx");
1375:   VecGetLocalSize(yy,&nt);
1376:   if (nt != A->rmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Incompatible parition of A and yy");
1377:   VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);
1378:   (*a->A->ops->mult)(a->A,xx,yy);
1379:   VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);
1380:   (*a->B->ops->multadd)(a->B,a->lvec,yy,yy);
1381:   return(0);
1382: }

1384: PetscErrorCode MatMultAdd_MPIBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1385: {
1386:   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;

1390:   VecScatterBegin(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);
1391:   (*a->A->ops->multadd)(a->A,xx,yy,zz);
1392:   VecScatterEnd(a->Mvctx,xx,a->lvec,INSERT_VALUES,SCATTER_FORWARD);
1393:   (*a->B->ops->multadd)(a->B,a->lvec,zz,zz);
1394:   return(0);
1395: }

1397: PetscErrorCode MatMultTranspose_MPIBAIJ(Mat A,Vec xx,Vec yy)
1398: {
1399:   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;

1403:   /* do nondiagonal part */
1404:   (*a->B->ops->multtranspose)(a->B,xx,a->lvec);
1405:   /* do local part */
1406:   (*a->A->ops->multtranspose)(a->A,xx,yy);
1407:   /* add partial results together */
1408:   VecScatterBegin(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);
1409:   VecScatterEnd(a->Mvctx,a->lvec,yy,ADD_VALUES,SCATTER_REVERSE);
1410:   return(0);
1411: }

1413: PetscErrorCode MatMultTransposeAdd_MPIBAIJ(Mat A,Vec xx,Vec yy,Vec zz)
1414: {
1415:   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;

1419:   /* do nondiagonal part */
1420:   (*a->B->ops->multtranspose)(a->B,xx,a->lvec);
1421:   /* do local part */
1422:   (*a->A->ops->multtransposeadd)(a->A,xx,yy,zz);
1423:   /* add partial results together */
1424:   VecScatterBegin(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);
1425:   VecScatterEnd(a->Mvctx,a->lvec,zz,ADD_VALUES,SCATTER_REVERSE);
1426:   return(0);
1427: }

1429: /*
1430:   This only works correctly for square matrices where the subblock A->A is the
1431:    diagonal block
1432: */
1433: PetscErrorCode MatGetDiagonal_MPIBAIJ(Mat A,Vec v)
1434: {
1435:   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;

1439:   if (A->rmap->N != A->cmap->N) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Supports only square matrix where A->A is diag block");
1440:   MatGetDiagonal(a->A,v);
1441:   return(0);
1442: }

1444: PetscErrorCode MatScale_MPIBAIJ(Mat A,PetscScalar aa)
1445: {
1446:   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;

1450:   MatScale(a->A,aa);
1451:   MatScale(a->B,aa);
1452:   return(0);
1453: }

1455: PetscErrorCode MatGetRow_MPIBAIJ(Mat matin,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1456: {
1457:   Mat_MPIBAIJ    *mat = (Mat_MPIBAIJ*)matin->data;
1458:   PetscScalar    *vworkA,*vworkB,**pvA,**pvB,*v_p;
1460:   PetscInt       bs = matin->rmap->bs,bs2 = mat->bs2,i,*cworkA,*cworkB,**pcA,**pcB;
1461:   PetscInt       nztot,nzA,nzB,lrow,brstart = matin->rmap->rstart,brend = matin->rmap->rend;
1462:   PetscInt       *cmap,*idx_p,cstart = mat->cstartbs;

1465:   if (row < brstart || row >= brend) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only local rows");
1466:   if (mat->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Already active");
1467:   mat->getrowactive = PETSC_TRUE;

1469:   if (!mat->rowvalues && (idx || v)) {
1470:     /*
1471:         allocate enough space to hold information from the longest row.
1472:     */
1473:     Mat_SeqBAIJ *Aa = (Mat_SeqBAIJ*)mat->A->data,*Ba = (Mat_SeqBAIJ*)mat->B->data;
1474:     PetscInt    max = 1,mbs = mat->mbs,tmp;
1475:     for (i=0; i<mbs; i++) {
1476:       tmp = Aa->i[i+1] - Aa->i[i] + Ba->i[i+1] - Ba->i[i];
1477:       if (max < tmp) max = tmp;
1478:     }
1479:     PetscMalloc2(max*bs2,&mat->rowvalues,max*bs2,&mat->rowindices);
1480:   }
1481:   lrow = row - brstart;

1483:   pvA = &vworkA; pcA = &cworkA; pvB = &vworkB; pcB = &cworkB;
1484:   if (!v)   {pvA = 0; pvB = 0;}
1485:   if (!idx) {pcA = 0; if (!v) pcB = 0;}
1486:   (*mat->A->ops->getrow)(mat->A,lrow,&nzA,pcA,pvA);
1487:   (*mat->B->ops->getrow)(mat->B,lrow,&nzB,pcB,pvB);
1488:   nztot = nzA + nzB;

1490:   cmap = mat->garray;
1491:   if (v  || idx) {
1492:     if (nztot) {
1493:       /* Sort by increasing column numbers, assuming A and B already sorted */
1494:       PetscInt imark = -1;
1495:       if (v) {
1496:         *v = v_p = mat->rowvalues;
1497:         for (i=0; i<nzB; i++) {
1498:           if (cmap[cworkB[i]/bs] < cstart) v_p[i] = vworkB[i];
1499:           else break;
1500:         }
1501:         imark = i;
1502:         for (i=0; i<nzA; i++)     v_p[imark+i] = vworkA[i];
1503:         for (i=imark; i<nzB; i++) v_p[nzA+i]   = vworkB[i];
1504:       }
1505:       if (idx) {
1506:         *idx = idx_p = mat->rowindices;
1507:         if (imark > -1) {
1508:           for (i=0; i<imark; i++) {
1509:             idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1510:           }
1511:         } else {
1512:           for (i=0; i<nzB; i++) {
1513:             if (cmap[cworkB[i]/bs] < cstart) idx_p[i] = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs;
1514:             else break;
1515:           }
1516:           imark = i;
1517:         }
1518:         for (i=0; i<nzA; i++)     idx_p[imark+i] = cstart*bs + cworkA[i];
1519:         for (i=imark; i<nzB; i++) idx_p[nzA+i]   = cmap[cworkB[i]/bs]*bs + cworkB[i]%bs ;
1520:       }
1521:     } else {
1522:       if (idx) *idx = 0;
1523:       if (v)   *v   = 0;
1524:     }
1525:   }
1526:   *nz  = nztot;
1527:   (*mat->A->ops->restorerow)(mat->A,lrow,&nzA,pcA,pvA);
1528:   (*mat->B->ops->restorerow)(mat->B,lrow,&nzB,pcB,pvB);
1529:   return(0);
1530: }

1532: PetscErrorCode MatRestoreRow_MPIBAIJ(Mat mat,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1533: {
1534:   Mat_MPIBAIJ *baij = (Mat_MPIBAIJ*)mat->data;

1537:   if (!baij->getrowactive) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"MatGetRow not called");
1538:   baij->getrowactive = PETSC_FALSE;
1539:   return(0);
1540: }

1542: PetscErrorCode MatZeroEntries_MPIBAIJ(Mat A)
1543: {
1544:   Mat_MPIBAIJ    *l = (Mat_MPIBAIJ*)A->data;

1548:   MatZeroEntries(l->A);
1549:   MatZeroEntries(l->B);
1550:   return(0);
1551: }

1553: PetscErrorCode MatGetInfo_MPIBAIJ(Mat matin,MatInfoType flag,MatInfo *info)
1554: {
1555:   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)matin->data;
1556:   Mat            A  = a->A,B = a->B;
1558:   PetscReal      isend[5],irecv[5];

1561:   info->block_size = (PetscReal)matin->rmap->bs;

1563:   MatGetInfo(A,MAT_LOCAL,info);

1565:   isend[0] = info->nz_used; isend[1] = info->nz_allocated; isend[2] = info->nz_unneeded;
1566:   isend[3] = info->memory;  isend[4] = info->mallocs;

1568:   MatGetInfo(B,MAT_LOCAL,info);

1570:   isend[0] += info->nz_used; isend[1] += info->nz_allocated; isend[2] += info->nz_unneeded;
1571:   isend[3] += info->memory;  isend[4] += info->mallocs;

1573:   if (flag == MAT_LOCAL) {
1574:     info->nz_used      = isend[0];
1575:     info->nz_allocated = isend[1];
1576:     info->nz_unneeded  = isend[2];
1577:     info->memory       = isend[3];
1578:     info->mallocs      = isend[4];
1579:   } else if (flag == MAT_GLOBAL_MAX) {
1580:     MPIU_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)matin));

1582:     info->nz_used      = irecv[0];
1583:     info->nz_allocated = irecv[1];
1584:     info->nz_unneeded  = irecv[2];
1585:     info->memory       = irecv[3];
1586:     info->mallocs      = irecv[4];
1587:   } else if (flag == MAT_GLOBAL_SUM) {
1588:     MPIU_Allreduce(isend,irecv,5,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)matin));

1590:     info->nz_used      = irecv[0];
1591:     info->nz_allocated = irecv[1];
1592:     info->nz_unneeded  = irecv[2];
1593:     info->memory       = irecv[3];
1594:     info->mallocs      = irecv[4];
1595:   } else SETERRQ1(PetscObjectComm((PetscObject)matin),PETSC_ERR_ARG_WRONG,"Unknown MatInfoType argument %d",(int)flag);
1596:   info->fill_ratio_given  = 0; /* no parallel LU/ILU/Cholesky */
1597:   info->fill_ratio_needed = 0;
1598:   info->factor_mallocs    = 0;
1599:   return(0);
1600: }

1602: PetscErrorCode MatSetOption_MPIBAIJ(Mat A,MatOption op,PetscBool flg)
1603: {
1604:   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;

1608:   switch (op) {
1609:   case MAT_NEW_NONZERO_LOCATIONS:
1610:   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1611:   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1612:   case MAT_KEEP_NONZERO_PATTERN:
1613:   case MAT_NEW_NONZERO_LOCATION_ERR:
1614:     MatCheckPreallocated(A,1);
1615:     MatSetOption(a->A,op,flg);
1616:     MatSetOption(a->B,op,flg);
1617:     break;
1618:   case MAT_ROW_ORIENTED:
1619:     MatCheckPreallocated(A,1);
1620:     a->roworiented = flg;

1622:     MatSetOption(a->A,op,flg);
1623:     MatSetOption(a->B,op,flg);
1624:     break;
1625:   case MAT_NEW_DIAGONALS:
1626:     PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);
1627:     break;
1628:   case MAT_IGNORE_OFF_PROC_ENTRIES:
1629:     a->donotstash = flg;
1630:     break;
1631:   case MAT_USE_HASH_TABLE:
1632:     a->ht_flag = flg;
1633:     a->ht_fact = 1.39;
1634:     break;
1635:   case MAT_SYMMETRIC:
1636:   case MAT_STRUCTURALLY_SYMMETRIC:
1637:   case MAT_HERMITIAN:
1638:   case MAT_SUBMAT_SINGLEIS:
1639:   case MAT_SYMMETRY_ETERNAL:
1640:     MatCheckPreallocated(A,1);
1641:     MatSetOption(a->A,op,flg);
1642:     break;
1643:   default:
1644:     SETERRQ1(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"unknown option %d",op);
1645:   }
1646:   return(0);
1647: }

1649: PetscErrorCode MatTranspose_MPIBAIJ(Mat A,MatReuse reuse,Mat *matout)
1650: {
1651:   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)A->data;
1652:   Mat_SeqBAIJ    *Aloc;
1653:   Mat            B;
1655:   PetscInt       M =A->rmap->N,N=A->cmap->N,*ai,*aj,i,*rvals,j,k,col;
1656:   PetscInt       bs=A->rmap->bs,mbs=baij->mbs;
1657:   MatScalar      *a;

1660:   if (reuse == MAT_INITIAL_MATRIX || reuse == MAT_INPLACE_MATRIX) {
1661:     MatCreate(PetscObjectComm((PetscObject)A),&B);
1662:     MatSetSizes(B,A->cmap->n,A->rmap->n,N,M);
1663:     MatSetType(B,((PetscObject)A)->type_name);
1664:     /* Do not know preallocation information, but must set block size */
1665:     MatMPIBAIJSetPreallocation(B,A->rmap->bs,PETSC_DECIDE,NULL,PETSC_DECIDE,NULL);
1666:   } else {
1667:     B = *matout;
1668:   }

1670:   /* copy over the A part */
1671:   Aloc = (Mat_SeqBAIJ*)baij->A->data;
1672:   ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
1673:   PetscMalloc1(bs,&rvals);

1675:   for (i=0; i<mbs; i++) {
1676:     rvals[0] = bs*(baij->rstartbs + i);
1677:     for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
1678:     for (j=ai[i]; j<ai[i+1]; j++) {
1679:       col = (baij->cstartbs+aj[j])*bs;
1680:       for (k=0; k<bs; k++) {
1681:         MatSetValues_MPIBAIJ(B,1,&col,bs,rvals,a,INSERT_VALUES);

1683:         col++; a += bs;
1684:       }
1685:     }
1686:   }
1687:   /* copy over the B part */
1688:   Aloc = (Mat_SeqBAIJ*)baij->B->data;
1689:   ai   = Aloc->i; aj = Aloc->j; a = Aloc->a;
1690:   for (i=0; i<mbs; i++) {
1691:     rvals[0] = bs*(baij->rstartbs + i);
1692:     for (j=1; j<bs; j++) rvals[j] = rvals[j-1] + 1;
1693:     for (j=ai[i]; j<ai[i+1]; j++) {
1694:       col = baij->garray[aj[j]]*bs;
1695:       for (k=0; k<bs; k++) {
1696:         MatSetValues_MPIBAIJ(B,1,&col,bs,rvals,a,INSERT_VALUES);
1697:         col++;
1698:         a += bs;
1699:       }
1700:     }
1701:   }
1702:   PetscFree(rvals);
1703:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
1704:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);

1706:   if (reuse == MAT_INITIAL_MATRIX || reuse == MAT_REUSE_MATRIX) *matout = B;
1707:   else {
1708:     MatHeaderMerge(A,&B);
1709:   }
1710:   return(0);
1711: }

1713: PetscErrorCode MatDiagonalScale_MPIBAIJ(Mat mat,Vec ll,Vec rr)
1714: {
1715:   Mat_MPIBAIJ    *baij = (Mat_MPIBAIJ*)mat->data;
1716:   Mat            a     = baij->A,b = baij->B;
1718:   PetscInt       s1,s2,s3;

1721:   MatGetLocalSize(mat,&s2,&s3);
1722:   if (rr) {
1723:     VecGetLocalSize(rr,&s1);
1724:     if (s1!=s3) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"right vector non-conforming local size");
1725:     /* Overlap communication with computation. */
1726:     VecScatterBegin(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);
1727:   }
1728:   if (ll) {
1729:     VecGetLocalSize(ll,&s1);
1730:     if (s1!=s2) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"left vector non-conforming local size");
1731:     (*b->ops->diagonalscale)(b,ll,NULL);
1732:   }
1733:   /* scale  the diagonal block */
1734:   (*a->ops->diagonalscale)(a,ll,rr);

1736:   if (rr) {
1737:     /* Do a scatter end and then right scale the off-diagonal block */
1738:     VecScatterEnd(baij->Mvctx,rr,baij->lvec,INSERT_VALUES,SCATTER_FORWARD);
1739:     (*b->ops->diagonalscale)(b,NULL,baij->lvec);
1740:   }
1741:   return(0);
1742: }

1744: PetscErrorCode MatZeroRows_MPIBAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1745: {
1746:   Mat_MPIBAIJ   *l      = (Mat_MPIBAIJ *) A->data;
1747:   PetscInt      *lrows;
1748:   PetscInt       r, len;
1749:   PetscBool      cong;

1753:   /* get locally owned rows */
1754:   MatZeroRowsMapLocal_Private(A,N,rows,&len,&lrows);
1755:   /* fix right hand side if needed */
1756:   if (x && b) {
1757:     const PetscScalar *xx;
1758:     PetscScalar       *bb;

1760:     VecGetArrayRead(x,&xx);
1761:     VecGetArray(b,&bb);
1762:     for (r = 0; r < len; ++r) bb[lrows[r]] = diag*xx[lrows[r]];
1763:     VecRestoreArrayRead(x,&xx);
1764:     VecRestoreArray(b,&bb);
1765:   }

1767:   /* actually zap the local rows */
1768:   /*
1769:         Zero the required rows. If the "diagonal block" of the matrix
1770:      is square and the user wishes to set the diagonal we use separate
1771:      code so that MatSetValues() is not called for each diagonal allocating
1772:      new memory, thus calling lots of mallocs and slowing things down.

1774:   */
1775:   /* must zero l->B before l->A because the (diag) case below may put values into l->B*/
1776:   MatZeroRows_SeqBAIJ(l->B,len,lrows,0.0,NULL,NULL);
1777:   MatHasCongruentLayouts(A,&cong);
1778:   if ((diag != 0.0) && cong) {
1779:     MatZeroRows_SeqBAIJ(l->A,len,lrows,diag,NULL,NULL);
1780:   } else if (diag != 0.0) {
1781:     MatZeroRows_SeqBAIJ(l->A,len,lrows,0.0,0,0);
1782:     if (((Mat_SeqBAIJ*)l->A->data)->nonew) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MatZeroRows() on rectangular matrices cannot be used with the Mat options \n\
1783:        MAT_NEW_NONZERO_LOCATIONS,MAT_NEW_NONZERO_LOCATION_ERR,MAT_NEW_NONZERO_ALLOCATION_ERR");
1784:     for (r = 0; r < len; ++r) {
1785:       const PetscInt row = lrows[r] + A->rmap->rstart;
1786:       MatSetValues(A,1,&row,1,&row,&diag,INSERT_VALUES);
1787:     }
1788:     MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
1789:     MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
1790:   } else {
1791:     MatZeroRows_SeqBAIJ(l->A,len,lrows,0.0,NULL,NULL);
1792:   }
1793:   PetscFree(lrows);

1795:   /* only change matrix nonzero state if pattern was allowed to be changed */
1796:   if (!((Mat_SeqBAIJ*)(l->A->data))->keepnonzeropattern) {
1797:     PetscObjectState state = l->A->nonzerostate + l->B->nonzerostate;
1798:     MPIU_Allreduce(&state,&A->nonzerostate,1,MPIU_INT64,MPI_SUM,PetscObjectComm((PetscObject)A));
1799:   }
1800:   return(0);
1801: }

1803: PetscErrorCode MatZeroRowsColumns_MPIBAIJ(Mat A,PetscInt N,const PetscInt rows[],PetscScalar diag,Vec x,Vec b)
1804: {
1805:   Mat_MPIBAIJ       *l = (Mat_MPIBAIJ*)A->data;
1806:   PetscErrorCode    ierr;
1807:   PetscMPIInt       n = A->rmap->n;
1808:   PetscInt          i,j,k,r,p = 0,len = 0,row,col,count;
1809:   PetscInt          *lrows,*owners = A->rmap->range;
1810:   PetscSFNode       *rrows;
1811:   PetscSF           sf;
1812:   const PetscScalar *xx;
1813:   PetscScalar       *bb,*mask;
1814:   Vec               xmask,lmask;
1815:   Mat_SeqBAIJ       *baij = (Mat_SeqBAIJ*)l->B->data;
1816:   PetscInt           bs = A->rmap->bs, bs2 = baij->bs2;
1817:   PetscScalar       *aa;

1820:   /* Create SF where leaves are input rows and roots are owned rows */
1821:   PetscMalloc1(n, &lrows);
1822:   for (r = 0; r < n; ++r) lrows[r] = -1;
1823:   PetscMalloc1(N, &rrows);
1824:   for (r = 0; r < N; ++r) {
1825:     const PetscInt idx   = rows[r];
1826:     if (idx < 0 || A->rmap->N <= idx) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row %D out of range [0,%D)",idx,A->rmap->N);
1827:     if (idx < owners[p] || owners[p+1] <= idx) { /* short-circuit the search if the last p owns this row too */
1828:       PetscLayoutFindOwner(A->rmap,idx,&p);
1829:     }
1830:     rrows[r].rank  = p;
1831:     rrows[r].index = rows[r] - owners[p];
1832:   }
1833:   PetscSFCreate(PetscObjectComm((PetscObject) A), &sf);
1834:   PetscSFSetGraph(sf, n, N, NULL, PETSC_OWN_POINTER, rrows, PETSC_OWN_POINTER);
1835:   /* Collect flags for rows to be zeroed */
1836:   PetscSFReduceBegin(sf, MPIU_INT, (PetscInt *) rows, lrows, MPI_LOR);
1837:   PetscSFReduceEnd(sf, MPIU_INT, (PetscInt *) rows, lrows, MPI_LOR);
1838:   PetscSFDestroy(&sf);
1839:   /* Compress and put in row numbers */
1840:   for (r = 0; r < n; ++r) if (lrows[r] >= 0) lrows[len++] = r;
1841:   /* zero diagonal part of matrix */
1842:   MatZeroRowsColumns(l->A,len,lrows,diag,x,b);
1843:   /* handle off diagonal part of matrix */
1844:   MatCreateVecs(A,&xmask,NULL);
1845:   VecDuplicate(l->lvec,&lmask);
1846:   VecGetArray(xmask,&bb);
1847:   for (i=0; i<len; i++) bb[lrows[i]] = 1;
1848:   VecRestoreArray(xmask,&bb);
1849:   VecScatterBegin(l->Mvctx,xmask,lmask,ADD_VALUES,SCATTER_FORWARD);
1850:   VecScatterEnd(l->Mvctx,xmask,lmask,ADD_VALUES,SCATTER_FORWARD);
1851:   VecDestroy(&xmask);
1852:   if (x) {
1853:     VecScatterBegin(l->Mvctx,x,l->lvec,INSERT_VALUES,SCATTER_FORWARD);
1854:     VecScatterEnd(l->Mvctx,x,l->lvec,INSERT_VALUES,SCATTER_FORWARD);
1855:     VecGetArrayRead(l->lvec,&xx);
1856:     VecGetArray(b,&bb);
1857:   }
1858:   VecGetArray(lmask,&mask);
1859:   /* remove zeroed rows of off diagonal matrix */
1860:   for (i = 0; i < len; ++i) {
1861:     row   = lrows[i];
1862:     count = (baij->i[row/bs +1] - baij->i[row/bs])*bs;
1863:     aa    = ((MatScalar*)(baij->a)) + baij->i[row/bs]*bs2 + (row%bs);
1864:     for (k = 0; k < count; ++k) {
1865:       aa[0] = 0.0;
1866:       aa   += bs;
1867:     }
1868:   }
1869:   /* loop over all elements of off process part of matrix zeroing removed columns*/
1870:   for (i = 0; i < l->B->rmap->N; ++i) {
1871:     row = i/bs;
1872:     for (j = baij->i[row]; j < baij->i[row+1]; ++j) {
1873:       for (k = 0; k < bs; ++k) {
1874:         col = bs*baij->j[j] + k;
1875:         if (PetscAbsScalar(mask[col])) {
1876:           aa = ((MatScalar*)(baij->a)) + j*bs2 + (i%bs) + bs*k;
1877:           if (x) bb[i] -= aa[0]*xx[col];
1878:           aa[0] = 0.0;
1879:         }
1880:       }
1881:     }
1882:   }
1883:   if (x) {
1884:     VecRestoreArray(b,&bb);
1885:     VecRestoreArrayRead(l->lvec,&xx);
1886:   }
1887:   VecRestoreArray(lmask,&mask);
1888:   VecDestroy(&lmask);
1889:   PetscFree(lrows);

1891:   /* only change matrix nonzero state if pattern was allowed to be changed */
1892:   if (!((Mat_SeqBAIJ*)(l->A->data))->keepnonzeropattern) {
1893:     PetscObjectState state = l->A->nonzerostate + l->B->nonzerostate;
1894:     MPIU_Allreduce(&state,&A->nonzerostate,1,MPIU_INT64,MPI_SUM,PetscObjectComm((PetscObject)A));
1895:   }
1896:   return(0);
1897: }

1899: PetscErrorCode MatSetUnfactored_MPIBAIJ(Mat A)
1900: {
1901:   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;

1905:   MatSetUnfactored(a->A);
1906:   return(0);
1907: }

1909: static PetscErrorCode MatDuplicate_MPIBAIJ(Mat,MatDuplicateOption,Mat*);

1911: PetscErrorCode MatEqual_MPIBAIJ(Mat A,Mat B,PetscBool  *flag)
1912: {
1913:   Mat_MPIBAIJ    *matB = (Mat_MPIBAIJ*)B->data,*matA = (Mat_MPIBAIJ*)A->data;
1914:   Mat            a,b,c,d;
1915:   PetscBool      flg;

1919:   a = matA->A; b = matA->B;
1920:   c = matB->A; d = matB->B;

1922:   MatEqual(a,c,&flg);
1923:   if (flg) {
1924:     MatEqual(b,d,&flg);
1925:   }
1926:   MPIU_Allreduce(&flg,flag,1,MPIU_BOOL,MPI_LAND,PetscObjectComm((PetscObject)A));
1927:   return(0);
1928: }

1930: PetscErrorCode MatCopy_MPIBAIJ(Mat A,Mat B,MatStructure str)
1931: {
1933:   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
1934:   Mat_MPIBAIJ    *b = (Mat_MPIBAIJ*)B->data;

1937:   /* If the two matrices don't have the same copy implementation, they aren't compatible for fast copy. */
1938:   if ((str != SAME_NONZERO_PATTERN) || (A->ops->copy != B->ops->copy)) {
1939:     MatCopy_Basic(A,B,str);
1940:   } else {
1941:     MatCopy(a->A,b->A,str);
1942:     MatCopy(a->B,b->B,str);
1943:   }
1944:   PetscObjectStateIncrease((PetscObject)B);
1945:   return(0);
1946: }

1948: PetscErrorCode MatSetUp_MPIBAIJ(Mat A)
1949: {

1953:   MatMPIBAIJSetPreallocation(A,A->rmap->bs,PETSC_DEFAULT,0,PETSC_DEFAULT,0);
1954:   return(0);
1955: }

1957: PetscErrorCode MatAXPYGetPreallocation_MPIBAIJ(Mat Y,const PetscInt *yltog,Mat X,const PetscInt *xltog,PetscInt *nnz)
1958: {
1960:   PetscInt       bs = Y->rmap->bs,m = Y->rmap->N/bs;
1961:   Mat_SeqBAIJ    *x = (Mat_SeqBAIJ*)X->data;
1962:   Mat_SeqBAIJ    *y = (Mat_SeqBAIJ*)Y->data;

1965:   MatAXPYGetPreallocation_MPIX_private(m,x->i,x->j,xltog,y->i,y->j,yltog,nnz);
1966:   return(0);
1967: }

1969: PetscErrorCode MatAXPY_MPIBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
1970: {
1972:   Mat_MPIBAIJ    *xx=(Mat_MPIBAIJ*)X->data,*yy=(Mat_MPIBAIJ*)Y->data;
1973:   PetscBLASInt   bnz,one=1;
1974:   Mat_SeqBAIJ    *x,*y;
1975:   PetscInt       bs2 = Y->rmap->bs*Y->rmap->bs;

1978:   if (str == SAME_NONZERO_PATTERN) {
1979:     PetscScalar alpha = a;
1980:     x    = (Mat_SeqBAIJ*)xx->A->data;
1981:     y    = (Mat_SeqBAIJ*)yy->A->data;
1982:     PetscBLASIntCast(x->nz*bs2,&bnz);
1983:     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
1984:     x    = (Mat_SeqBAIJ*)xx->B->data;
1985:     y    = (Mat_SeqBAIJ*)yy->B->data;
1986:     PetscBLASIntCast(x->nz*bs2,&bnz);
1987:     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
1988:     PetscObjectStateIncrease((PetscObject)Y);
1989:   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
1990:     MatAXPY_Basic(Y,a,X,str);
1991:   } else {
1992:     Mat      B;
1993:     PetscInt *nnz_d,*nnz_o,bs=Y->rmap->bs;
1994:     PetscMalloc1(yy->A->rmap->N,&nnz_d);
1995:     PetscMalloc1(yy->B->rmap->N,&nnz_o);
1996:     MatCreate(PetscObjectComm((PetscObject)Y),&B);
1997:     PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name);
1998:     MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N);
1999:     MatSetBlockSizesFromMats(B,Y,Y);
2000:     MatSetType(B,MATMPIBAIJ);
2001:     MatAXPYGetPreallocation_SeqBAIJ(yy->A,xx->A,nnz_d);
2002:     MatAXPYGetPreallocation_MPIBAIJ(yy->B,yy->garray,xx->B,xx->garray,nnz_o);
2003:     MatMPIBAIJSetPreallocation(B,bs,0,nnz_d,0,nnz_o);
2004:     /* MatAXPY_BasicWithPreallocation() for BAIJ matrix is much slower than AIJ, even for bs=1 ! */
2005:     MatAXPY_BasicWithPreallocation(B,Y,a,X,str);
2006:     MatHeaderReplace(Y,&B);
2007:     PetscFree(nnz_d);
2008:     PetscFree(nnz_o);
2009:   }
2010:   return(0);
2011: }

2013: PetscErrorCode MatRealPart_MPIBAIJ(Mat A)
2014: {
2015:   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;

2019:   MatRealPart(a->A);
2020:   MatRealPart(a->B);
2021:   return(0);
2022: }

2024: PetscErrorCode MatImaginaryPart_MPIBAIJ(Mat A)
2025: {
2026:   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;

2030:   MatImaginaryPart(a->A);
2031:   MatImaginaryPart(a->B);
2032:   return(0);
2033: }

2035: PetscErrorCode MatCreateSubMatrix_MPIBAIJ(Mat mat,IS isrow,IS iscol,MatReuse call,Mat *newmat)
2036: {
2038:   IS             iscol_local;
2039:   PetscInt       csize;

2042:   ISGetLocalSize(iscol,&csize);
2043:   if (call == MAT_REUSE_MATRIX) {
2044:     PetscObjectQuery((PetscObject)*newmat,"ISAllGather",(PetscObject*)&iscol_local);
2045:     if (!iscol_local) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Submatrix passed in was not used before, cannot reuse");
2046:   } else {
2047:     ISAllGather(iscol,&iscol_local);
2048:   }
2049:   MatCreateSubMatrix_MPIBAIJ_Private(mat,isrow,iscol_local,csize,call,newmat);
2050:   if (call == MAT_INITIAL_MATRIX) {
2051:     PetscObjectCompose((PetscObject)*newmat,"ISAllGather",(PetscObject)iscol_local);
2052:     ISDestroy(&iscol_local);
2053:   }
2054:   return(0);
2055: }

2057: /*
2058:   Not great since it makes two copies of the submatrix, first an SeqBAIJ
2059:   in local and then by concatenating the local matrices the end result.
2060:   Writing it directly would be much like MatCreateSubMatrices_MPIBAIJ().
2061:   This routine is used for BAIJ and SBAIJ matrices (unfortunate dependency).
2062: */
2063: PetscErrorCode MatCreateSubMatrix_MPIBAIJ_Private(Mat mat,IS isrow,IS iscol,PetscInt csize,MatReuse call,Mat *newmat)
2064: {
2066:   PetscMPIInt    rank,size;
2067:   PetscInt       i,m,n,rstart,row,rend,nz,*cwork,j,bs;
2068:   PetscInt       *ii,*jj,nlocal,*dlens,*olens,dlen,olen,jend,mglobal;
2069:   Mat            M,Mreuse;
2070:   MatScalar      *vwork,*aa;
2071:   MPI_Comm       comm;
2072:   IS             isrow_new, iscol_new;
2073:   Mat_SeqBAIJ    *aij;

2076:   PetscObjectGetComm((PetscObject)mat,&comm);
2077:   MPI_Comm_rank(comm,&rank);
2078:   MPI_Comm_size(comm,&size);
2079:   /* The compression and expansion should be avoided. Doesn't point
2080:      out errors, might change the indices, hence buggey */
2081:   ISCompressIndicesGeneral(mat->rmap->N,mat->rmap->n,mat->rmap->bs,1,&isrow,&isrow_new);
2082:   ISCompressIndicesGeneral(mat->cmap->N,mat->cmap->n,mat->cmap->bs,1,&iscol,&iscol_new);

2084:   if (call ==  MAT_REUSE_MATRIX) {
2085:     PetscObjectQuery((PetscObject)*newmat,"SubMatrix",(PetscObject*)&Mreuse);
2086:     if (!Mreuse) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Submatrix passed in was not used before, cannot reuse");
2087:     MatCreateSubMatrices_MPIBAIJ_local(mat,1,&isrow_new,&iscol_new,MAT_REUSE_MATRIX,&Mreuse);
2088:   } else {
2089:     MatCreateSubMatrices_MPIBAIJ_local(mat,1,&isrow_new,&iscol_new,MAT_INITIAL_MATRIX,&Mreuse);
2090:   }
2091:   ISDestroy(&isrow_new);
2092:   ISDestroy(&iscol_new);
2093:   /*
2094:       m - number of local rows
2095:       n - number of columns (same on all processors)
2096:       rstart - first row in new global matrix generated
2097:   */
2098:   MatGetBlockSize(mat,&bs);
2099:   MatGetSize(Mreuse,&m,&n);
2100:   m    = m/bs;
2101:   n    = n/bs;

2103:   if (call == MAT_INITIAL_MATRIX) {
2104:     aij = (Mat_SeqBAIJ*)(Mreuse)->data;
2105:     ii  = aij->i;
2106:     jj  = aij->j;

2108:     /*
2109:         Determine the number of non-zeros in the diagonal and off-diagonal
2110:         portions of the matrix in order to do correct preallocation
2111:     */

2113:     /* first get start and end of "diagonal" columns */
2114:     if (csize == PETSC_DECIDE) {
2115:       ISGetSize(isrow,&mglobal);
2116:       if (mglobal == n*bs) { /* square matrix */
2117:         nlocal = m;
2118:       } else {
2119:         nlocal = n/size + ((n % size) > rank);
2120:       }
2121:     } else {
2122:       nlocal = csize/bs;
2123:     }
2124:     MPI_Scan(&nlocal,&rend,1,MPIU_INT,MPI_SUM,comm);
2125:     rstart = rend - nlocal;
2126:     if (rank == size - 1 && rend != n) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Local column sizes %D do not add up to total number of columns %D",rend,n);

2128:     /* next, compute all the lengths */
2129:     PetscMalloc2(m+1,&dlens,m+1,&olens);
2130:     for (i=0; i<m; i++) {
2131:       jend = ii[i+1] - ii[i];
2132:       olen = 0;
2133:       dlen = 0;
2134:       for (j=0; j<jend; j++) {
2135:         if (*jj < rstart || *jj >= rend) olen++;
2136:         else dlen++;
2137:         jj++;
2138:       }
2139:       olens[i] = olen;
2140:       dlens[i] = dlen;
2141:     }
2142:     MatCreate(comm,&M);
2143:     MatSetSizes(M,bs*m,bs*nlocal,PETSC_DECIDE,bs*n);
2144:     MatSetType(M,((PetscObject)mat)->type_name);
2145:     MatMPIBAIJSetPreallocation(M,bs,0,dlens,0,olens);
2146:     MatMPISBAIJSetPreallocation(M,bs,0,dlens,0,olens);
2147:     PetscFree2(dlens,olens);
2148:   } else {
2149:     PetscInt ml,nl;

2151:     M    = *newmat;
2152:     MatGetLocalSize(M,&ml,&nl);
2153:     if (ml != m) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Previous matrix must be same size/layout as request");
2154:     MatZeroEntries(M);
2155:     /*
2156:          The next two lines are needed so we may call MatSetValues_MPIAIJ() below directly,
2157:        rather than the slower MatSetValues().
2158:     */
2159:     M->was_assembled = PETSC_TRUE;
2160:     M->assembled     = PETSC_FALSE;
2161:   }
2162:   MatSetOption(M,MAT_ROW_ORIENTED,PETSC_FALSE);
2163:   MatGetOwnershipRange(M,&rstart,&rend);
2164:   aij  = (Mat_SeqBAIJ*)(Mreuse)->data;
2165:   ii   = aij->i;
2166:   jj   = aij->j;
2167:   aa   = aij->a;
2168:   for (i=0; i<m; i++) {
2169:     row   = rstart/bs + i;
2170:     nz    = ii[i+1] - ii[i];
2171:     cwork = jj;     jj += nz;
2172:     vwork = aa;     aa += nz*bs*bs;
2173:     MatSetValuesBlocked_MPIBAIJ(M,1,&row,nz,cwork,vwork,INSERT_VALUES);
2174:   }

2176:   MatAssemblyBegin(M,MAT_FINAL_ASSEMBLY);
2177:   MatAssemblyEnd(M,MAT_FINAL_ASSEMBLY);
2178:   *newmat = M;

2180:   /* save submatrix used in processor for next request */
2181:   if (call ==  MAT_INITIAL_MATRIX) {
2182:     PetscObjectCompose((PetscObject)M,"SubMatrix",(PetscObject)Mreuse);
2183:     PetscObjectDereference((PetscObject)Mreuse);
2184:   }
2185:   return(0);
2186: }

2188: PetscErrorCode MatPermute_MPIBAIJ(Mat A,IS rowp,IS colp,Mat *B)
2189: {
2190:   MPI_Comm       comm,pcomm;
2191:   PetscInt       clocal_size,nrows;
2192:   const PetscInt *rows;
2193:   PetscMPIInt    size;
2194:   IS             crowp,lcolp;

2198:   PetscObjectGetComm((PetscObject)A,&comm);
2199:   /* make a collective version of 'rowp' */
2200:   PetscObjectGetComm((PetscObject)rowp,&pcomm);
2201:   if (pcomm==comm) {
2202:     crowp = rowp;
2203:   } else {
2204:     ISGetSize(rowp,&nrows);
2205:     ISGetIndices(rowp,&rows);
2206:     ISCreateGeneral(comm,nrows,rows,PETSC_COPY_VALUES,&crowp);
2207:     ISRestoreIndices(rowp,&rows);
2208:   }
2209:   ISSetPermutation(crowp);
2210:   /* make a local version of 'colp' */
2211:   PetscObjectGetComm((PetscObject)colp,&pcomm);
2212:   MPI_Comm_size(pcomm,&size);
2213:   if (size==1) {
2214:     lcolp = colp;
2215:   } else {
2216:     ISAllGather(colp,&lcolp);
2217:   }
2218:   ISSetPermutation(lcolp);
2219:   /* now we just get the submatrix */
2220:   MatGetLocalSize(A,NULL,&clocal_size);
2221:   MatCreateSubMatrix_MPIBAIJ_Private(A,crowp,lcolp,clocal_size,MAT_INITIAL_MATRIX,B);
2222:   /* clean up */
2223:   if (pcomm!=comm) {
2224:     ISDestroy(&crowp);
2225:   }
2226:   if (size>1) {
2227:     ISDestroy(&lcolp);
2228:   }
2229:   return(0);
2230: }

2232: PetscErrorCode  MatGetGhosts_MPIBAIJ(Mat mat,PetscInt *nghosts,const PetscInt *ghosts[])
2233: {
2234:   Mat_MPIBAIJ *baij = (Mat_MPIBAIJ*) mat->data;
2235:   Mat_SeqBAIJ *B    = (Mat_SeqBAIJ*)baij->B->data;

2238:   if (nghosts) *nghosts = B->nbs;
2239:   if (ghosts) *ghosts = baij->garray;
2240:   return(0);
2241: }

2243: PetscErrorCode MatGetSeqNonzeroStructure_MPIBAIJ(Mat A,Mat *newmat)
2244: {
2245:   Mat            B;
2246:   Mat_MPIBAIJ    *a  = (Mat_MPIBAIJ*)A->data;
2247:   Mat_SeqBAIJ    *ad = (Mat_SeqBAIJ*)a->A->data,*bd = (Mat_SeqBAIJ*)a->B->data;
2248:   Mat_SeqAIJ     *b;
2250:   PetscMPIInt    size,rank,*recvcounts = 0,*displs = 0;
2251:   PetscInt       sendcount,i,*rstarts = A->rmap->range,n,cnt,j,bs = A->rmap->bs;
2252:   PetscInt       m,*garray = a->garray,*lens,*jsendbuf,*a_jsendbuf,*b_jsendbuf;

2255:   MPI_Comm_size(PetscObjectComm((PetscObject)A),&size);
2256:   MPI_Comm_rank(PetscObjectComm((PetscObject)A),&rank);

2258:   /* ----------------------------------------------------------------
2259:      Tell every processor the number of nonzeros per row
2260:   */
2261:   PetscMalloc1(A->rmap->N/bs,&lens);
2262:   for (i=A->rmap->rstart/bs; i<A->rmap->rend/bs; i++) {
2263:     lens[i] = ad->i[i-A->rmap->rstart/bs+1] - ad->i[i-A->rmap->rstart/bs] + bd->i[i-A->rmap->rstart/bs+1] - bd->i[i-A->rmap->rstart/bs];
2264:   }
2265:   PetscMalloc1(2*size,&recvcounts);
2266:   displs    = recvcounts + size;
2267:   for (i=0; i<size; i++) {
2268:     recvcounts[i] = A->rmap->range[i+1]/bs - A->rmap->range[i]/bs;
2269:     displs[i]     = A->rmap->range[i]/bs;
2270:   }
2271: #if defined(PETSC_HAVE_MPI_IN_PLACE)
2272:   MPI_Allgatherv(MPI_IN_PLACE,0,MPI_DATATYPE_NULL,lens,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));
2273: #else
2274:   sendcount = A->rmap->rend/bs - A->rmap->rstart/bs;
2275:   MPI_Allgatherv(lens+A->rmap->rstart/bs,sendcount,MPIU_INT,lens,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));
2276: #endif
2277:   /* ---------------------------------------------------------------
2278:      Create the sequential matrix of the same type as the local block diagonal
2279:   */
2280:   MatCreate(PETSC_COMM_SELF,&B);
2281:   MatSetSizes(B,A->rmap->N/bs,A->cmap->N/bs,PETSC_DETERMINE,PETSC_DETERMINE);
2282:   MatSetType(B,MATSEQAIJ);
2283:   MatSeqAIJSetPreallocation(B,0,lens);
2284:   b    = (Mat_SeqAIJ*)B->data;

2286:   /*--------------------------------------------------------------------
2287:     Copy my part of matrix column indices over
2288:   */
2289:   sendcount  = ad->nz + bd->nz;
2290:   jsendbuf   = b->j + b->i[rstarts[rank]/bs];
2291:   a_jsendbuf = ad->j;
2292:   b_jsendbuf = bd->j;
2293:   n          = A->rmap->rend/bs - A->rmap->rstart/bs;
2294:   cnt        = 0;
2295:   for (i=0; i<n; i++) {

2297:     /* put in lower diagonal portion */
2298:     m = bd->i[i+1] - bd->i[i];
2299:     while (m > 0) {
2300:       /* is it above diagonal (in bd (compressed) numbering) */
2301:       if (garray[*b_jsendbuf] > A->rmap->rstart/bs + i) break;
2302:       jsendbuf[cnt++] = garray[*b_jsendbuf++];
2303:       m--;
2304:     }

2306:     /* put in diagonal portion */
2307:     for (j=ad->i[i]; j<ad->i[i+1]; j++) {
2308:       jsendbuf[cnt++] = A->rmap->rstart/bs + *a_jsendbuf++;
2309:     }

2311:     /* put in upper diagonal portion */
2312:     while (m-- > 0) {
2313:       jsendbuf[cnt++] = garray[*b_jsendbuf++];
2314:     }
2315:   }
2316:   if (cnt != sendcount) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Corrupted PETSc matrix: nz given %D actual nz %D",sendcount,cnt);

2318:   /*--------------------------------------------------------------------
2319:     Gather all column indices to all processors
2320:   */
2321:   for (i=0; i<size; i++) {
2322:     recvcounts[i] = 0;
2323:     for (j=A->rmap->range[i]/bs; j<A->rmap->range[i+1]/bs; j++) {
2324:       recvcounts[i] += lens[j];
2325:     }
2326:   }
2327:   displs[0] = 0;
2328:   for (i=1; i<size; i++) {
2329:     displs[i] = displs[i-1] + recvcounts[i-1];
2330:   }
2331: #if defined(PETSC_HAVE_MPI_IN_PLACE)
2332:   MPI_Allgatherv(MPI_IN_PLACE,0,MPI_DATATYPE_NULL,b->j,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));
2333: #else
2334:   MPI_Allgatherv(jsendbuf,sendcount,MPIU_INT,b->j,recvcounts,displs,MPIU_INT,PetscObjectComm((PetscObject)A));
2335: #endif
2336:   /*--------------------------------------------------------------------
2337:     Assemble the matrix into useable form (note numerical values not yet set)
2338:   */
2339:   /* set the b->ilen (length of each row) values */
2340:   PetscMemcpy(b->ilen,lens,(A->rmap->N/bs)*sizeof(PetscInt));
2341:   /* set the b->i indices */
2342:   b->i[0] = 0;
2343:   for (i=1; i<=A->rmap->N/bs; i++) {
2344:     b->i[i] = b->i[i-1] + lens[i-1];
2345:   }
2346:   PetscFree(lens);
2347:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
2348:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
2349:   PetscFree(recvcounts);

2351:   if (A->symmetric) {
2352:     MatSetOption(B,MAT_SYMMETRIC,PETSC_TRUE);
2353:   } else if (A->hermitian) {
2354:     MatSetOption(B,MAT_HERMITIAN,PETSC_TRUE);
2355:   } else if (A->structurally_symmetric) {
2356:     MatSetOption(B,MAT_STRUCTURALLY_SYMMETRIC,PETSC_TRUE);
2357:   }
2358:   *newmat = B;
2359:   return(0);
2360: }

2362: PetscErrorCode MatSOR_MPIBAIJ(Mat matin,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
2363: {
2364:   Mat_MPIBAIJ    *mat = (Mat_MPIBAIJ*)matin->data;
2366:   Vec            bb1 = 0;

2369:   if (flag == SOR_APPLY_UPPER) {
2370:     (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);
2371:     return(0);
2372:   }

2374:   if (its > 1 || ~flag & SOR_ZERO_INITIAL_GUESS) {
2375:     VecDuplicate(bb,&bb1);
2376:   }

2378:   if ((flag & SOR_LOCAL_SYMMETRIC_SWEEP) == SOR_LOCAL_SYMMETRIC_SWEEP) {
2379:     if (flag & SOR_ZERO_INITIAL_GUESS) {
2380:       (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);
2381:       its--;
2382:     }

2384:     while (its--) {
2385:       VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);
2386:       VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);

2388:       /* update rhs: bb1 = bb - B*x */
2389:       VecScale(mat->lvec,-1.0);
2390:       (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);

2392:       /* local sweep */
2393:       (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_SYMMETRIC_SWEEP,fshift,lits,1,xx);
2394:     }
2395:   } else if (flag & SOR_LOCAL_FORWARD_SWEEP) {
2396:     if (flag & SOR_ZERO_INITIAL_GUESS) {
2397:       (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);
2398:       its--;
2399:     }
2400:     while (its--) {
2401:       VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);
2402:       VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);

2404:       /* update rhs: bb1 = bb - B*x */
2405:       VecScale(mat->lvec,-1.0);
2406:       (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);

2408:       /* local sweep */
2409:       (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_FORWARD_SWEEP,fshift,lits,1,xx);
2410:     }
2411:   } else if (flag & SOR_LOCAL_BACKWARD_SWEEP) {
2412:     if (flag & SOR_ZERO_INITIAL_GUESS) {
2413:       (*mat->A->ops->sor)(mat->A,bb,omega,flag,fshift,lits,1,xx);
2414:       its--;
2415:     }
2416:     while (its--) {
2417:       VecScatterBegin(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);
2418:       VecScatterEnd(mat->Mvctx,xx,mat->lvec,INSERT_VALUES,SCATTER_FORWARD);

2420:       /* update rhs: bb1 = bb - B*x */
2421:       VecScale(mat->lvec,-1.0);
2422:       (*mat->B->ops->multadd)(mat->B,mat->lvec,bb,bb1);

2424:       /* local sweep */
2425:       (*mat->A->ops->sor)(mat->A,bb1,omega,SOR_BACKWARD_SWEEP,fshift,lits,1,xx);
2426:     }
2427:   } else SETERRQ(PetscObjectComm((PetscObject)matin),PETSC_ERR_SUP,"Parallel version of SOR requested not supported");

2429:   VecDestroy(&bb1);
2430:   return(0);
2431: }

2433: PetscErrorCode MatGetColumnNorms_MPIBAIJ(Mat A,NormType type,PetscReal *norms)
2434: {
2436:   Mat_MPIBAIJ    *aij = (Mat_MPIBAIJ*)A->data;
2437:   PetscInt       N,i,*garray = aij->garray;
2438:   PetscInt       ib,jb,bs = A->rmap->bs;
2439:   Mat_SeqBAIJ    *a_aij = (Mat_SeqBAIJ*) aij->A->data;
2440:   MatScalar      *a_val = a_aij->a;
2441:   Mat_SeqBAIJ    *b_aij = (Mat_SeqBAIJ*) aij->B->data;
2442:   MatScalar      *b_val = b_aij->a;
2443:   PetscReal      *work;

2446:   MatGetSize(A,NULL,&N);
2447:   PetscCalloc1(N,&work);
2448:   if (type == NORM_2) {
2449:     for (i=a_aij->i[0]; i<a_aij->i[aij->A->rmap->n/bs]; i++) {
2450:       for (jb=0; jb<bs; jb++) {
2451:         for (ib=0; ib<bs; ib++) {
2452:           work[A->cmap->rstart + a_aij->j[i] * bs + jb] += PetscAbsScalar(*a_val * *a_val);
2453:           a_val++;
2454:         }
2455:       }
2456:     }
2457:     for (i=b_aij->i[0]; i<b_aij->i[aij->B->rmap->n/bs]; i++) {
2458:       for (jb=0; jb<bs; jb++) {
2459:         for (ib=0; ib<bs; ib++) {
2460:           work[garray[b_aij->j[i]] * bs + jb] += PetscAbsScalar(*b_val * *b_val);
2461:           b_val++;
2462:         }
2463:       }
2464:     }
2465:   } else if (type == NORM_1) {
2466:     for (i=a_aij->i[0]; i<a_aij->i[aij->A->rmap->n/bs]; i++) {
2467:       for (jb=0; jb<bs; jb++) {
2468:         for (ib=0; ib<bs; ib++) {
2469:           work[A->cmap->rstart + a_aij->j[i] * bs + jb] += PetscAbsScalar(*a_val);
2470:           a_val++;
2471:         }
2472:       }
2473:     }
2474:     for (i=b_aij->i[0]; i<b_aij->i[aij->B->rmap->n/bs]; i++) {
2475:       for (jb=0; jb<bs; jb++) {
2476:        for (ib=0; ib<bs; ib++) {
2477:           work[garray[b_aij->j[i]] * bs + jb] += PetscAbsScalar(*b_val);
2478:           b_val++;
2479:         }
2480:       }
2481:     }
2482:   } else if (type == NORM_INFINITY) {
2483:     for (i=a_aij->i[0]; i<a_aij->i[aij->A->rmap->n/bs]; i++) {
2484:       for (jb=0; jb<bs; jb++) {
2485:         for (ib=0; ib<bs; ib++) {
2486:           int col = A->cmap->rstart + a_aij->j[i] * bs + jb;
2487:           work[col] = PetscMax(PetscAbsScalar(*a_val), work[col]);
2488:           a_val++;
2489:         }
2490:       }
2491:     }
2492:     for (i=b_aij->i[0]; i<b_aij->i[aij->B->rmap->n/bs]; i++) {
2493:       for (jb=0; jb<bs; jb++) {
2494:         for (ib=0; ib<bs; ib++) {
2495:           int col = garray[b_aij->j[i]] * bs + jb;
2496:           work[col] = PetscMax(PetscAbsScalar(*b_val), work[col]);
2497:           b_val++;
2498:         }
2499:       }
2500:     }
2501:   } else SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONG,"Unknown NormType");
2502:   if (type == NORM_INFINITY) {
2503:     MPIU_Allreduce(work,norms,N,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)A));
2504:   } else {
2505:     MPIU_Allreduce(work,norms,N,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)A));
2506:   }
2507:   PetscFree(work);
2508:   if (type == NORM_2) {
2509:     for (i=0; i<N; i++) norms[i] = PetscSqrtReal(norms[i]);
2510:   }
2511:   return(0);
2512: }

2514: PetscErrorCode MatInvertBlockDiagonal_MPIBAIJ(Mat A,const PetscScalar **values)
2515: {
2516:   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*) A->data;

2520:   MatInvertBlockDiagonal(a->A,values);
2521:   A->factorerrortype             = a->A->factorerrortype;
2522:   A->factorerror_zeropivot_value = a->A->factorerror_zeropivot_value;
2523:   A->factorerror_zeropivot_row   = a->A->factorerror_zeropivot_row;
2524:   return(0);
2525: }

2527: PetscErrorCode MatShift_MPIBAIJ(Mat Y,PetscScalar a)
2528: {
2530:   Mat_MPIBAIJ    *maij = (Mat_MPIBAIJ*)Y->data;
2531:   Mat_SeqBAIJ    *aij = (Mat_SeqBAIJ*)maij->A->data;

2534:   if (!Y->preallocated) {
2535:     MatMPIBAIJSetPreallocation(Y,Y->rmap->bs,1,NULL,0,NULL);
2536:   } else if (!aij->nz) {
2537:     PetscInt nonew = aij->nonew;
2538:     MatSeqBAIJSetPreallocation(maij->A,Y->rmap->bs,1,NULL);
2539:     aij->nonew = nonew;
2540:   }
2541:   MatShift_Basic(Y,a);
2542:   return(0);
2543: }

2545: PetscErrorCode MatMissingDiagonal_MPIBAIJ(Mat A,PetscBool  *missing,PetscInt *d)
2546: {
2547:   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;

2551:   if (A->rmap->n != A->cmap->n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Only works for square matrices");
2552:   MatMissingDiagonal(a->A,missing,d);
2553:   if (d) {
2554:     PetscInt rstart;
2555:     MatGetOwnershipRange(A,&rstart,NULL);
2556:     *d += rstart/A->rmap->bs;

2558:   }
2559:   return(0);
2560: }

2562: PetscErrorCode  MatGetDiagonalBlock_MPIBAIJ(Mat A,Mat *a)
2563: {
2565:   *a = ((Mat_MPIBAIJ*)A->data)->A;
2566:   return(0);
2567: }

2569: /* -------------------------------------------------------------------*/
2570: static struct _MatOps MatOps_Values = {MatSetValues_MPIBAIJ,
2571:                                        MatGetRow_MPIBAIJ,
2572:                                        MatRestoreRow_MPIBAIJ,
2573:                                        MatMult_MPIBAIJ,
2574:                                 /* 4*/ MatMultAdd_MPIBAIJ,
2575:                                        MatMultTranspose_MPIBAIJ,
2576:                                        MatMultTransposeAdd_MPIBAIJ,
2577:                                        0,
2578:                                        0,
2579:                                        0,
2580:                                 /*10*/ 0,
2581:                                        0,
2582:                                        0,
2583:                                        MatSOR_MPIBAIJ,
2584:                                        MatTranspose_MPIBAIJ,
2585:                                 /*15*/ MatGetInfo_MPIBAIJ,
2586:                                        MatEqual_MPIBAIJ,
2587:                                        MatGetDiagonal_MPIBAIJ,
2588:                                        MatDiagonalScale_MPIBAIJ,
2589:                                        MatNorm_MPIBAIJ,
2590:                                 /*20*/ MatAssemblyBegin_MPIBAIJ,
2591:                                        MatAssemblyEnd_MPIBAIJ,
2592:                                        MatSetOption_MPIBAIJ,
2593:                                        MatZeroEntries_MPIBAIJ,
2594:                                 /*24*/ MatZeroRows_MPIBAIJ,
2595:                                        0,
2596:                                        0,
2597:                                        0,
2598:                                        0,
2599:                                 /*29*/ MatSetUp_MPIBAIJ,
2600:                                        0,
2601:                                        0,
2602:                                        MatGetDiagonalBlock_MPIBAIJ,
2603:                                        0,
2604:                                 /*34*/ MatDuplicate_MPIBAIJ,
2605:                                        0,
2606:                                        0,
2607:                                        0,
2608:                                        0,
2609:                                 /*39*/ MatAXPY_MPIBAIJ,
2610:                                        MatCreateSubMatrices_MPIBAIJ,
2611:                                        MatIncreaseOverlap_MPIBAIJ,
2612:                                        MatGetValues_MPIBAIJ,
2613:                                        MatCopy_MPIBAIJ,
2614:                                 /*44*/ 0,
2615:                                        MatScale_MPIBAIJ,
2616:                                        MatShift_MPIBAIJ,
2617:                                        0,
2618:                                        MatZeroRowsColumns_MPIBAIJ,
2619:                                 /*49*/ 0,
2620:                                        0,
2621:                                        0,
2622:                                        0,
2623:                                        0,
2624:                                 /*54*/ MatFDColoringCreate_MPIXAIJ,
2625:                                        0,
2626:                                        MatSetUnfactored_MPIBAIJ,
2627:                                        MatPermute_MPIBAIJ,
2628:                                        MatSetValuesBlocked_MPIBAIJ,
2629:                                 /*59*/ MatCreateSubMatrix_MPIBAIJ,
2630:                                        MatDestroy_MPIBAIJ,
2631:                                        MatView_MPIBAIJ,
2632:                                        0,
2633:                                        0,
2634:                                 /*64*/ 0,
2635:                                        0,
2636:                                        0,
2637:                                        0,
2638:                                        0,
2639:                                 /*69*/ MatGetRowMaxAbs_MPIBAIJ,
2640:                                        0,
2641:                                        0,
2642:                                        0,
2643:                                        0,
2644:                                 /*74*/ 0,
2645:                                        MatFDColoringApply_BAIJ,
2646:                                        0,
2647:                                        0,
2648:                                        0,
2649:                                 /*79*/ 0,
2650:                                        0,
2651:                                        0,
2652:                                        0,
2653:                                        MatLoad_MPIBAIJ,
2654:                                 /*84*/ 0,
2655:                                        0,
2656:                                        0,
2657:                                        0,
2658:                                        0,
2659:                                 /*89*/ 0,
2660:                                        0,
2661:                                        0,
2662:                                        0,
2663:                                        0,
2664:                                 /*94*/ 0,
2665:                                        0,
2666:                                        0,
2667:                                        0,
2668:                                        0,
2669:                                 /*99*/ 0,
2670:                                        0,
2671:                                        0,
2672:                                        0,
2673:                                        0,
2674:                                 /*104*/0,
2675:                                        MatRealPart_MPIBAIJ,
2676:                                        MatImaginaryPart_MPIBAIJ,
2677:                                        0,
2678:                                        0,
2679:                                 /*109*/0,
2680:                                        0,
2681:                                        0,
2682:                                        0,
2683:                                        MatMissingDiagonal_MPIBAIJ,
2684:                                 /*114*/MatGetSeqNonzeroStructure_MPIBAIJ,
2685:                                        0,
2686:                                        MatGetGhosts_MPIBAIJ,
2687:                                        0,
2688:                                        0,
2689:                                 /*119*/0,
2690:                                        0,
2691:                                        0,
2692:                                        0,
2693:                                        MatGetMultiProcBlock_MPIBAIJ,
2694:                                 /*124*/0,
2695:                                        MatGetColumnNorms_MPIBAIJ,
2696:                                        MatInvertBlockDiagonal_MPIBAIJ,
2697:                                        0,
2698:                                        0,
2699:                                /*129*/ 0,
2700:                                        0,
2701:                                        0,
2702:                                        0,
2703:                                        0,
2704:                                /*134*/ 0,
2705:                                        0,
2706:                                        0,
2707:                                        0,
2708:                                        0,
2709:                                /*139*/ MatSetBlockSizes_Default,
2710:                                        0,
2711:                                        0,
2712:                                        MatFDColoringSetUp_MPIXAIJ,
2713:                                        0,
2714:                                 /*144*/MatCreateMPIMatConcatenateSeqMat_MPIBAIJ
2715: };


2718: PETSC_INTERN PetscErrorCode MatConvert_MPIBAIJ_MPISBAIJ(Mat,MatType,MatReuse,Mat*);
2719: PETSC_INTERN PetscErrorCode MatConvert_XAIJ_IS(Mat,MatType,MatReuse,Mat*);

2721: PetscErrorCode MatMPIBAIJSetPreallocationCSR_MPIBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
2722: {
2723:   PetscInt       m,rstart,cstart,cend;
2724:   PetscInt       i,j,dlen,olen,nz,nz_max=0,*d_nnz=0,*o_nnz=0;
2725:   const PetscInt *JJ    =0;
2726:   PetscScalar    *values=0;
2727:   PetscBool      roworiented = ((Mat_MPIBAIJ*)B->data)->roworiented;

2731:   PetscLayoutSetBlockSize(B->rmap,bs);
2732:   PetscLayoutSetBlockSize(B->cmap,bs);
2733:   PetscLayoutSetUp(B->rmap);
2734:   PetscLayoutSetUp(B->cmap);
2735:   PetscLayoutGetBlockSize(B->rmap,&bs);
2736:   m      = B->rmap->n/bs;
2737:   rstart = B->rmap->rstart/bs;
2738:   cstart = B->cmap->rstart/bs;
2739:   cend   = B->cmap->rend/bs;

2741:   if (ii[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"ii[0] must be 0 but it is %D",ii[0]);
2742:   PetscMalloc2(m,&d_nnz,m,&o_nnz);
2743:   for (i=0; i<m; i++) {
2744:     nz = ii[i+1] - ii[i];
2745:     if (nz < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Local row %D has a negative number of columns %D",i,nz);
2746:     nz_max = PetscMax(nz_max,nz);
2747:     dlen   = 0;
2748:     olen   = 0;
2749:     JJ     = jj + ii[i];
2750:     for (j=0; j<nz; j++) {
2751:       if (*JJ < cstart || *JJ >= cend) olen++;
2752:       else dlen++;
2753:       JJ++;
2754:     }
2755:     d_nnz[i] = dlen;
2756:     o_nnz[i] = olen;
2757:   }
2758:   MatMPIBAIJSetPreallocation(B,bs,0,d_nnz,0,o_nnz);
2759:   PetscFree2(d_nnz,o_nnz);

2761:   values = (PetscScalar*)V;
2762:   if (!values) {
2763:     PetscCalloc1(bs*bs*nz_max,&values);
2764:   }
2765:   for (i=0; i<m; i++) {
2766:     PetscInt          row    = i + rstart;
2767:     PetscInt          ncols  = ii[i+1] - ii[i];
2768:     const PetscInt    *icols = jj + ii[i];
2769:     if (!roworiented) {         /* block ordering matches the non-nested layout of MatSetValues so we can insert entire rows */
2770:       const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
2771:       MatSetValuesBlocked_MPIBAIJ(B,1,&row,ncols,icols,svals,INSERT_VALUES);
2772:     } else {                    /* block ordering does not match so we can only insert one block at a time. */
2773:       PetscInt j;
2774:       for (j=0; j<ncols; j++) {
2775:         const PetscScalar *svals = values + (V ? (bs*bs*(ii[i]+j)) : 0);
2776:         MatSetValuesBlocked_MPIBAIJ(B,1,&row,1,&icols[j],svals,INSERT_VALUES);
2777:       }
2778:     }
2779:   }

2781:   if (!V) { PetscFree(values); }
2782:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
2783:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
2784:   MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);
2785:   return(0);
2786: }

2788: /*@C
2789:    MatMPIBAIJSetPreallocationCSR - Allocates memory for a sparse parallel matrix in BAIJ format
2790:    (the default parallel PETSc format).

2792:    Collective on MPI_Comm

2794:    Input Parameters:
2795: +  B - the matrix
2796: .  bs - the block size
2797: .  i - the indices into j for the start of each local row (starts with zero)
2798: .  j - the column indices for each local row (starts with zero) these must be sorted for each row
2799: -  v - optional values in the matrix

2801:    Level: developer

2803:    Notes:
2804:     The order of the entries in values is specified by the MatOption MAT_ROW_ORIENTED.  For example, C programs
2805:    may want to use the default MAT_ROW_ORIENTED=PETSC_TRUE and use an array v[nnz][bs][bs] where the second index is
2806:    over rows within a block and the last index is over columns within a block row.  Fortran programs will likely set
2807:    MAT_ROW_ORIENTED=PETSC_FALSE and use a Fortran array v(bs,bs,nnz) in which the first index is over rows within a
2808:    block column and the second index is over columns within a block.

2810: .keywords: matrix, aij, compressed row, sparse, parallel

2812: .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIBAIJSetPreallocation(), MatCreateAIJ(), MPIAIJ, MatCreateMPIBAIJWithArrays(), MPIBAIJ
2813: @*/
2814: PetscErrorCode  MatMPIBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
2815: {

2822:   PetscTryMethod(B,"MatMPIBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));
2823:   return(0);
2824: }

2826: PetscErrorCode  MatMPIBAIJSetPreallocation_MPIBAIJ(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt *d_nnz,PetscInt o_nz,const PetscInt *o_nnz)
2827: {
2828:   Mat_MPIBAIJ    *b;
2830:   PetscInt       i;
2831:   PetscMPIInt    size;

2834:   MatSetBlockSize(B,PetscAbs(bs));
2835:   PetscLayoutSetUp(B->rmap);
2836:   PetscLayoutSetUp(B->cmap);
2837:   PetscLayoutGetBlockSize(B->rmap,&bs);

2839:   if (d_nnz) {
2840:     for (i=0; i<B->rmap->n/bs; i++) {
2841:       if (d_nnz[i] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"d_nnz cannot be less than -1: local row %D value %D",i,d_nnz[i]);
2842:     }
2843:   }
2844:   if (o_nnz) {
2845:     for (i=0; i<B->rmap->n/bs; i++) {
2846:       if (o_nnz[i] < 0) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"o_nnz cannot be less than -1: local row %D value %D",i,o_nnz[i]);
2847:     }
2848:   }

2850:   b      = (Mat_MPIBAIJ*)B->data;
2851:   b->bs2 = bs*bs;
2852:   b->mbs = B->rmap->n/bs;
2853:   b->nbs = B->cmap->n/bs;
2854:   b->Mbs = B->rmap->N/bs;
2855:   b->Nbs = B->cmap->N/bs;

2857:   for (i=0; i<=b->size; i++) {
2858:     b->rangebs[i] = B->rmap->range[i]/bs;
2859:   }
2860:   b->rstartbs = B->rmap->rstart/bs;
2861:   b->rendbs   = B->rmap->rend/bs;
2862:   b->cstartbs = B->cmap->rstart/bs;
2863:   b->cendbs   = B->cmap->rend/bs;

2865: #if defined(PETSC_USE_CTABLE)
2866:   PetscTableDestroy(&b->colmap);
2867: #else
2868:   PetscFree(b->colmap);
2869: #endif
2870:   PetscFree(b->garray);
2871:   VecDestroy(&b->lvec);
2872:   VecScatterDestroy(&b->Mvctx);

2874:   /* Because the B will have been resized we simply destroy it and create a new one each time */
2875:   MPI_Comm_size(PetscObjectComm((PetscObject)B),&size);
2876:   MatDestroy(&b->B);
2877:   MatCreate(PETSC_COMM_SELF,&b->B);
2878:   MatSetSizes(b->B,B->rmap->n,size > 1 ? B->cmap->N : 0,B->rmap->n,size > 1 ? B->cmap->N : 0);
2879:   MatSetType(b->B,MATSEQBAIJ);
2880:   PetscLogObjectParent((PetscObject)B,(PetscObject)b->B);

2882:   if (!B->preallocated) {
2883:     MatCreate(PETSC_COMM_SELF,&b->A);
2884:     MatSetSizes(b->A,B->rmap->n,B->cmap->n,B->rmap->n,B->cmap->n);
2885:     MatSetType(b->A,MATSEQBAIJ);
2886:     PetscLogObjectParent((PetscObject)B,(PetscObject)b->A);
2887:     MatStashCreate_Private(PetscObjectComm((PetscObject)B),bs,&B->bstash);
2888:   }

2890:   MatSeqBAIJSetPreallocation(b->A,bs,d_nz,d_nnz);
2891:   MatSeqBAIJSetPreallocation(b->B,bs,o_nz,o_nnz);
2892:   B->preallocated  = PETSC_TRUE;
2893:   B->was_assembled = PETSC_FALSE;
2894:   B->assembled     = PETSC_FALSE;
2895:   return(0);
2896: }

2898: extern PetscErrorCode  MatDiagonalScaleLocal_MPIBAIJ(Mat,Vec);
2899: extern PetscErrorCode  MatSetHashTableFactor_MPIBAIJ(Mat,PetscReal);

2901: PETSC_INTERN PetscErrorCode MatConvert_MPIBAIJ_MPIAdj(Mat B, MatType newtype,MatReuse reuse,Mat *adj)
2902: {
2903:   Mat_MPIBAIJ    *b = (Mat_MPIBAIJ*)B->data;
2905:   Mat_SeqBAIJ    *d  = (Mat_SeqBAIJ*) b->A->data,*o = (Mat_SeqBAIJ*) b->B->data;
2906:   PetscInt       M   = B->rmap->n/B->rmap->bs,i,*ii,*jj,cnt,j,k,rstart = B->rmap->rstart/B->rmap->bs;
2907:   const PetscInt *id = d->i, *jd = d->j, *io = o->i, *jo = o->j, *garray = b->garray;

2910:   PetscMalloc1(M+1,&ii);
2911:   ii[0] = 0;
2912:   for (i=0; i<M; i++) {
2913:     if ((id[i+1] - id[i]) < 0) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Indices wrong %D %D %D",i,id[i],id[i+1]);
2914:     if ((io[i+1] - io[i]) < 0) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Indices wrong %D %D %D",i,io[i],io[i+1]);
2915:     ii[i+1] = ii[i] + id[i+1] - id[i] + io[i+1] - io[i];
2916:     /* remove one from count of matrix has diagonal */
2917:     for (j=id[i]; j<id[i+1]; j++) {
2918:       if (jd[j] == i) {ii[i+1]--;break;}
2919:     }
2920:   }
2921:   PetscMalloc1(ii[M],&jj);
2922:   cnt  = 0;
2923:   for (i=0; i<M; i++) {
2924:     for (j=io[i]; j<io[i+1]; j++) {
2925:       if (garray[jo[j]] > rstart) break;
2926:       jj[cnt++] = garray[jo[j]];
2927:     }
2928:     for (k=id[i]; k<id[i+1]; k++) {
2929:       if (jd[k] != i) {
2930:         jj[cnt++] = rstart + jd[k];
2931:       }
2932:     }
2933:     for (; j<io[i+1]; j++) {
2934:       jj[cnt++] = garray[jo[j]];
2935:     }
2936:   }
2937:   MatCreateMPIAdj(PetscObjectComm((PetscObject)B),M,B->cmap->N/B->rmap->bs,ii,jj,NULL,adj);
2938:   return(0);
2939: }

2941:  #include <../src/mat/impls/aij/mpi/mpiaij.h>

2943: PETSC_INTERN PetscErrorCode MatConvert_SeqBAIJ_SeqAIJ(Mat,MatType,MatReuse,Mat*);

2945: PETSC_INTERN PetscErrorCode MatConvert_MPIBAIJ_MPIAIJ(Mat A,MatType newtype,MatReuse reuse,Mat *newmat)
2946: {
2948:   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
2949:   Mat            B;
2950:   Mat_MPIAIJ     *b;

2953:   if (!A->assembled) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Matrix must be assembled");

2955:   if (reuse == MAT_REUSE_MATRIX) {
2956:     B = *newmat;
2957:   } else {
2958:     MatCreate(PetscObjectComm((PetscObject)A),&B);
2959:     MatSetType(B,MATMPIAIJ);
2960:     MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);
2961:     MatSetBlockSizes(B,A->rmap->bs,A->cmap->bs);
2962:     MatSeqAIJSetPreallocation(B,0,NULL);
2963:     MatMPIAIJSetPreallocation(B,0,NULL,0,NULL);
2964:   }
2965:   b = (Mat_MPIAIJ*) B->data;

2967:   if (reuse == MAT_REUSE_MATRIX) {
2968:     MatConvert_SeqBAIJ_SeqAIJ(a->A, MATSEQAIJ, MAT_REUSE_MATRIX, &b->A);
2969:     MatConvert_SeqBAIJ_SeqAIJ(a->B, MATSEQAIJ, MAT_REUSE_MATRIX, &b->B);
2970:   } else {
2971:     MatDestroy(&b->A);
2972:     MatDestroy(&b->B);
2973:     MatDisAssemble_MPIBAIJ(A);
2974:     MatConvert_SeqBAIJ_SeqAIJ(a->A, MATSEQAIJ, MAT_INITIAL_MATRIX, &b->A);
2975:     MatConvert_SeqBAIJ_SeqAIJ(a->B, MATSEQAIJ, MAT_INITIAL_MATRIX, &b->B);
2976:     MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
2977:     MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
2978:   }
2979:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
2980:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);

2982:   if (reuse == MAT_INPLACE_MATRIX) {
2983:     MatHeaderReplace(A,&B);
2984:   } else {
2985:    *newmat = B;
2986:   }
2987:   return(0);
2988: }

2990: /*MC
2991:    MATMPIBAIJ - MATMPIBAIJ = "mpibaij" - A matrix type to be used for distributed block sparse matrices.

2993:    Options Database Keys:
2994: + -mat_type mpibaij - sets the matrix type to "mpibaij" during a call to MatSetFromOptions()
2995: . -mat_block_size <bs> - set the blocksize used to store the matrix
2996: - -mat_use_hash_table <fact>

2998:   Level: beginner

3000: .seealso: MatCreateMPIBAIJ
3001: M*/

3003: PETSC_INTERN PetscErrorCode MatConvert_MPIBAIJ_MPIBSTRM(Mat,MatType,MatReuse,Mat*);
3004: PETSC_INTERN PetscErrorCode MatPtAP_IS_XAIJ(Mat,Mat,MatReuse,PetscReal,Mat*);

3006: PETSC_EXTERN PetscErrorCode MatCreate_MPIBAIJ(Mat B)
3007: {
3008:   Mat_MPIBAIJ    *b;
3010:   PetscBool      flg = PETSC_FALSE;

3013:   PetscNewLog(B,&b);
3014:   B->data = (void*)b;

3016:   PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));
3017:   B->assembled = PETSC_FALSE;

3019:   B->insertmode = NOT_SET_VALUES;
3020:   MPI_Comm_rank(PetscObjectComm((PetscObject)B),&b->rank);
3021:   MPI_Comm_size(PetscObjectComm((PetscObject)B),&b->size);

3023:   /* build local table of row and column ownerships */
3024:   PetscMalloc1(b->size+1,&b->rangebs);

3026:   /* build cache for off array entries formed */
3027:   MatStashCreate_Private(PetscObjectComm((PetscObject)B),1,&B->stash);

3029:   b->donotstash  = PETSC_FALSE;
3030:   b->colmap      = NULL;
3031:   b->garray      = NULL;
3032:   b->roworiented = PETSC_TRUE;

3034:   /* stuff used in block assembly */
3035:   b->barray = 0;

3037:   /* stuff used for matrix vector multiply */
3038:   b->lvec  = 0;
3039:   b->Mvctx = 0;

3041:   /* stuff for MatGetRow() */
3042:   b->rowindices   = 0;
3043:   b->rowvalues    = 0;
3044:   b->getrowactive = PETSC_FALSE;

3046:   /* hash table stuff */
3047:   b->ht           = 0;
3048:   b->hd           = 0;
3049:   b->ht_size      = 0;
3050:   b->ht_flag      = PETSC_FALSE;
3051:   b->ht_fact      = 0;
3052:   b->ht_total_ct  = 0;
3053:   b->ht_insert_ct = 0;

3055:   /* stuff for MatCreateSubMatrices_MPIBAIJ_local() */
3056:   b->ijonly = PETSC_FALSE;


3059:   PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpiadj_C",MatConvert_MPIBAIJ_MPIAdj);
3060:   PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpiaij_C",MatConvert_MPIBAIJ_MPIAIJ);
3061:   PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_mpisbaij_C",MatConvert_MPIBAIJ_MPISBAIJ);
3062: #if defined(PETSC_HAVE_HYPRE)
3063:   PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_hypre_C",MatConvert_AIJ_HYPRE);
3064: #endif
3065:   PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_MPIBAIJ);
3066:   PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_MPIBAIJ);
3067:   PetscObjectComposeFunction((PetscObject)B,"MatMPIBAIJSetPreallocation_C",MatMPIBAIJSetPreallocation_MPIBAIJ);
3068:   PetscObjectComposeFunction((PetscObject)B,"MatMPIBAIJSetPreallocationCSR_C",MatMPIBAIJSetPreallocationCSR_MPIBAIJ);
3069:   PetscObjectComposeFunction((PetscObject)B,"MatDiagonalScaleLocal_C",MatDiagonalScaleLocal_MPIBAIJ);
3070:   PetscObjectComposeFunction((PetscObject)B,"MatSetHashTableFactor_C",MatSetHashTableFactor_MPIBAIJ);
3071:   PetscObjectComposeFunction((PetscObject)B,"MatPtAP_is_mpibaij_C",MatPtAP_IS_XAIJ);
3072:   PetscObjectComposeFunction((PetscObject)B,"MatConvert_mpibaij_is_C",MatConvert_XAIJ_IS);
3073:   PetscObjectChangeTypeName((PetscObject)B,MATMPIBAIJ);

3075:   PetscOptionsBegin(PetscObjectComm((PetscObject)B),NULL,"Options for loading MPIBAIJ matrix 1","Mat");
3076:   PetscOptionsName("-mat_use_hash_table","Use hash table to save time in constructing matrix","MatSetOption",&flg);
3077:   if (flg) {
3078:     PetscReal fact = 1.39;
3079:     MatSetOption(B,MAT_USE_HASH_TABLE,PETSC_TRUE);
3080:     PetscOptionsReal("-mat_use_hash_table","Use hash table factor","MatMPIBAIJSetHashTableFactor",fact,&fact,NULL);
3081:     if (fact <= 1.0) fact = 1.39;
3082:     MatMPIBAIJSetHashTableFactor(B,fact);
3083:     PetscInfo1(B,"Hash table Factor used %5.2f\n",fact);
3084:   }
3085:   PetscOptionsEnd();
3086:   return(0);
3087: }

3089: /*MC
3090:    MATBAIJ - MATBAIJ = "baij" - A matrix type to be used for block sparse matrices.

3092:    This matrix type is identical to MATSEQBAIJ when constructed with a single process communicator,
3093:    and MATMPIBAIJ otherwise.

3095:    Options Database Keys:
3096: . -mat_type baij - sets the matrix type to "baij" during a call to MatSetFromOptions()

3098:   Level: beginner

3100: .seealso: MatCreateBAIJ(),MATSEQBAIJ,MATMPIBAIJ, MatMPIBAIJSetPreallocation(), MatMPIBAIJSetPreallocationCSR()
3101: M*/

3103: /*@C
3104:    MatMPIBAIJSetPreallocation - Allocates memory for a sparse parallel matrix in block AIJ format
3105:    (block compressed row).  For good matrix assembly performance
3106:    the user should preallocate the matrix storage by setting the parameters
3107:    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
3108:    performance can be increased by more than a factor of 50.

3110:    Collective on Mat

3112:    Input Parameters:
3113: +  B - the matrix
3114: .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
3115:           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
3116: .  d_nz  - number of block nonzeros per block row in diagonal portion of local
3117:            submatrix  (same for all local rows)
3118: .  d_nnz - array containing the number of block nonzeros in the various block rows
3119:            of the in diagonal portion of the local (possibly different for each block
3120:            row) or NULL.  If you plan to factor the matrix you must leave room for the diagonal entry and
3121:            set it even if it is zero.
3122: .  o_nz  - number of block nonzeros per block row in the off-diagonal portion of local
3123:            submatrix (same for all local rows).
3124: -  o_nnz - array containing the number of nonzeros in the various block rows of the
3125:            off-diagonal portion of the local submatrix (possibly different for
3126:            each block row) or NULL.

3128:    If the *_nnz parameter is given then the *_nz parameter is ignored

3130:    Options Database Keys:
3131: +   -mat_block_size - size of the blocks to use
3132: -   -mat_use_hash_table <fact>

3134:    Notes:
3135:    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
3136:    than it must be used on all processors that share the object for that argument.

3138:    Storage Information:
3139:    For a square global matrix we define each processor's diagonal portion
3140:    to be its local rows and the corresponding columns (a square submatrix);
3141:    each processor's off-diagonal portion encompasses the remainder of the
3142:    local matrix (a rectangular submatrix).

3144:    The user can specify preallocated storage for the diagonal part of
3145:    the local submatrix with either d_nz or d_nnz (not both).  Set
3146:    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
3147:    memory allocation.  Likewise, specify preallocated storage for the
3148:    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).

3150:    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
3151:    the figure below we depict these three local rows and all columns (0-11).

3153: .vb
3154:            0 1 2 3 4 5 6 7 8 9 10 11
3155:           --------------------------
3156:    row 3  |o o o d d d o o o o  o  o
3157:    row 4  |o o o d d d o o o o  o  o
3158:    row 5  |o o o d d d o o o o  o  o
3159:           --------------------------
3160: .ve

3162:    Thus, any entries in the d locations are stored in the d (diagonal)
3163:    submatrix, and any entries in the o locations are stored in the
3164:    o (off-diagonal) submatrix.  Note that the d and the o submatrices are
3165:    stored simply in the MATSEQBAIJ format for compressed row storage.

3167:    Now d_nz should indicate the number of block nonzeros per row in the d matrix,
3168:    and o_nz should indicate the number of block nonzeros per row in the o matrix.
3169:    In general, for PDE problems in which most nonzeros are near the diagonal,
3170:    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
3171:    or you will get TERRIBLE performance; see the users' manual chapter on
3172:    matrices.

3174:    You can call MatGetInfo() to get information on how effective the preallocation was;
3175:    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3176:    You can also run with the option -info and look for messages with the string
3177:    malloc in them to see if additional memory allocation was needed.

3179:    Level: intermediate

3181: .keywords: matrix, block, aij, compressed row, sparse, parallel

3183: .seealso: MatCreate(), MatCreateSeqBAIJ(), MatSetValues(), MatCreateBAIJ(), MatMPIBAIJSetPreallocationCSR(), PetscSplitOwnership()
3184: @*/
3185: PetscErrorCode  MatMPIBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[])
3186: {

3193:   PetscTryMethod(B,"MatMPIBAIJSetPreallocation_C",(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]),(B,bs,d_nz,d_nnz,o_nz,o_nnz));
3194:   return(0);
3195: }

3197: /*@C
3198:    MatCreateBAIJ - Creates a sparse parallel matrix in block AIJ format
3199:    (block compressed row).  For good matrix assembly performance
3200:    the user should preallocate the matrix storage by setting the parameters
3201:    d_nz (or d_nnz) and o_nz (or o_nnz).  By setting these parameters accurately,
3202:    performance can be increased by more than a factor of 50.

3204:    Collective on MPI_Comm

3206:    Input Parameters:
3207: +  comm - MPI communicator
3208: .  bs   - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
3209:           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
3210: .  m - number of local rows (or PETSC_DECIDE to have calculated if M is given)
3211:            This value should be the same as the local size used in creating the
3212:            y vector for the matrix-vector product y = Ax.
3213: .  n - number of local columns (or PETSC_DECIDE to have calculated if N is given)
3214:            This value should be the same as the local size used in creating the
3215:            x vector for the matrix-vector product y = Ax.
3216: .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
3217: .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
3218: .  d_nz  - number of nonzero blocks per block row in diagonal portion of local
3219:            submatrix  (same for all local rows)
3220: .  d_nnz - array containing the number of nonzero blocks in the various block rows
3221:            of the in diagonal portion of the local (possibly different for each block
3222:            row) or NULL.  If you plan to factor the matrix you must leave room for the diagonal entry
3223:            and set it even if it is zero.
3224: .  o_nz  - number of nonzero blocks per block row in the off-diagonal portion of local
3225:            submatrix (same for all local rows).
3226: -  o_nnz - array containing the number of nonzero blocks in the various block rows of the
3227:            off-diagonal portion of the local submatrix (possibly different for
3228:            each block row) or NULL.

3230:    Output Parameter:
3231: .  A - the matrix

3233:    Options Database Keys:
3234: +   -mat_block_size - size of the blocks to use
3235: -   -mat_use_hash_table <fact>

3237:    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3238:    MatXXXXSetPreallocation() paradigm instead of this routine directly.
3239:    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]

3241:    Notes:
3242:    If the *_nnz parameter is given then the *_nz parameter is ignored

3244:    A nonzero block is any block that as 1 or more nonzeros in it

3246:    The user MUST specify either the local or global matrix dimensions
3247:    (possibly both).

3249:    If PETSC_DECIDE or  PETSC_DETERMINE is used for a particular argument on one processor
3250:    than it must be used on all processors that share the object for that argument.

3252:    Storage Information:
3253:    For a square global matrix we define each processor's diagonal portion
3254:    to be its local rows and the corresponding columns (a square submatrix);
3255:    each processor's off-diagonal portion encompasses the remainder of the
3256:    local matrix (a rectangular submatrix).

3258:    The user can specify preallocated storage for the diagonal part of
3259:    the local submatrix with either d_nz or d_nnz (not both).  Set
3260:    d_nz=PETSC_DEFAULT and d_nnz=NULL for PETSc to control dynamic
3261:    memory allocation.  Likewise, specify preallocated storage for the
3262:    off-diagonal part of the local submatrix with o_nz or o_nnz (not both).

3264:    Consider a processor that owns rows 3, 4 and 5 of a parallel matrix. In
3265:    the figure below we depict these three local rows and all columns (0-11).

3267: .vb
3268:            0 1 2 3 4 5 6 7 8 9 10 11
3269:           --------------------------
3270:    row 3  |o o o d d d o o o o  o  o
3271:    row 4  |o o o d d d o o o o  o  o
3272:    row 5  |o o o d d d o o o o  o  o
3273:           --------------------------
3274: .ve

3276:    Thus, any entries in the d locations are stored in the d (diagonal)
3277:    submatrix, and any entries in the o locations are stored in the
3278:    o (off-diagonal) submatrix.  Note that the d and the o submatrices are
3279:    stored simply in the MATSEQBAIJ format for compressed row storage.

3281:    Now d_nz should indicate the number of block nonzeros per row in the d matrix,
3282:    and o_nz should indicate the number of block nonzeros per row in the o matrix.
3283:    In general, for PDE problems in which most nonzeros are near the diagonal,
3284:    one expects d_nz >> o_nz.   For large problems you MUST preallocate memory
3285:    or you will get TERRIBLE performance; see the users' manual chapter on
3286:    matrices.

3288:    Level: intermediate

3290: .keywords: matrix, block, aij, compressed row, sparse, parallel

3292: .seealso: MatCreate(), MatCreateSeqBAIJ(), MatSetValues(), MatCreateBAIJ(), MatMPIBAIJSetPreallocation(), MatMPIBAIJSetPreallocationCSR()
3293: @*/
3294: PetscErrorCode  MatCreateBAIJ(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,PetscInt d_nz,const PetscInt d_nnz[],PetscInt o_nz,const PetscInt o_nnz[],Mat *A)
3295: {
3297:   PetscMPIInt    size;

3300:   MatCreate(comm,A);
3301:   MatSetSizes(*A,m,n,M,N);
3302:   MPI_Comm_size(comm,&size);
3303:   if (size > 1) {
3304:     MatSetType(*A,MATMPIBAIJ);
3305:     MatMPIBAIJSetPreallocation(*A,bs,d_nz,d_nnz,o_nz,o_nnz);
3306:   } else {
3307:     MatSetType(*A,MATSEQBAIJ);
3308:     MatSeqBAIJSetPreallocation(*A,bs,d_nz,d_nnz);
3309:   }
3310:   return(0);
3311: }

3313: static PetscErrorCode MatDuplicate_MPIBAIJ(Mat matin,MatDuplicateOption cpvalues,Mat *newmat)
3314: {
3315:   Mat            mat;
3316:   Mat_MPIBAIJ    *a,*oldmat = (Mat_MPIBAIJ*)matin->data;
3318:   PetscInt       len=0;

3321:   *newmat = 0;
3322:   MatCreate(PetscObjectComm((PetscObject)matin),&mat);
3323:   MatSetSizes(mat,matin->rmap->n,matin->cmap->n,matin->rmap->N,matin->cmap->N);
3324:   MatSetType(mat,((PetscObject)matin)->type_name);

3326:   mat->factortype   = matin->factortype;
3327:   mat->preallocated = PETSC_TRUE;
3328:   mat->assembled    = PETSC_TRUE;
3329:   mat->insertmode   = NOT_SET_VALUES;

3331:   a             = (Mat_MPIBAIJ*)mat->data;
3332:   mat->rmap->bs = matin->rmap->bs;
3333:   a->bs2        = oldmat->bs2;
3334:   a->mbs        = oldmat->mbs;
3335:   a->nbs        = oldmat->nbs;
3336:   a->Mbs        = oldmat->Mbs;
3337:   a->Nbs        = oldmat->Nbs;

3339:   PetscLayoutReference(matin->rmap,&mat->rmap);
3340:   PetscLayoutReference(matin->cmap,&mat->cmap);

3342:   a->size         = oldmat->size;
3343:   a->rank         = oldmat->rank;
3344:   a->donotstash   = oldmat->donotstash;
3345:   a->roworiented  = oldmat->roworiented;
3346:   a->rowindices   = 0;
3347:   a->rowvalues    = 0;
3348:   a->getrowactive = PETSC_FALSE;
3349:   a->barray       = 0;
3350:   a->rstartbs     = oldmat->rstartbs;
3351:   a->rendbs       = oldmat->rendbs;
3352:   a->cstartbs     = oldmat->cstartbs;
3353:   a->cendbs       = oldmat->cendbs;

3355:   /* hash table stuff */
3356:   a->ht           = 0;
3357:   a->hd           = 0;
3358:   a->ht_size      = 0;
3359:   a->ht_flag      = oldmat->ht_flag;
3360:   a->ht_fact      = oldmat->ht_fact;
3361:   a->ht_total_ct  = 0;
3362:   a->ht_insert_ct = 0;

3364:   PetscMemcpy(a->rangebs,oldmat->rangebs,(a->size+1)*sizeof(PetscInt));
3365:   if (oldmat->colmap) {
3366: #if defined(PETSC_USE_CTABLE)
3367:     PetscTableCreateCopy(oldmat->colmap,&a->colmap);
3368: #else
3369:     PetscMalloc1(a->Nbs,&a->colmap);
3370:     PetscLogObjectMemory((PetscObject)mat,(a->Nbs)*sizeof(PetscInt));
3371:     PetscMemcpy(a->colmap,oldmat->colmap,(a->Nbs)*sizeof(PetscInt));
3372: #endif
3373:   } else a->colmap = 0;

3375:   if (oldmat->garray && (len = ((Mat_SeqBAIJ*)(oldmat->B->data))->nbs)) {
3376:     PetscMalloc1(len,&a->garray);
3377:     PetscLogObjectMemory((PetscObject)mat,len*sizeof(PetscInt));
3378:     PetscMemcpy(a->garray,oldmat->garray,len*sizeof(PetscInt));
3379:   } else a->garray = 0;

3381:   MatStashCreate_Private(PetscObjectComm((PetscObject)matin),matin->rmap->bs,&mat->bstash);
3382:   VecDuplicate(oldmat->lvec,&a->lvec);
3383:   PetscLogObjectParent((PetscObject)mat,(PetscObject)a->lvec);
3384:   VecScatterCopy(oldmat->Mvctx,&a->Mvctx);
3385:   PetscLogObjectParent((PetscObject)mat,(PetscObject)a->Mvctx);

3387:   MatDuplicate(oldmat->A,cpvalues,&a->A);
3388:   PetscLogObjectParent((PetscObject)mat,(PetscObject)a->A);
3389:   MatDuplicate(oldmat->B,cpvalues,&a->B);
3390:   PetscLogObjectParent((PetscObject)mat,(PetscObject)a->B);
3391:   PetscFunctionListDuplicate(((PetscObject)matin)->qlist,&((PetscObject)mat)->qlist);
3392:   *newmat = mat;
3393:   return(0);
3394: }

3396: PetscErrorCode MatLoad_MPIBAIJ(Mat newmat,PetscViewer viewer)
3397: {
3399:   int            fd;
3400:   PetscInt       i,nz,j,rstart,rend;
3401:   PetscScalar    *vals,*buf;
3402:   MPI_Comm       comm;
3403:   MPI_Status     status;
3404:   PetscMPIInt    rank,size,maxnz;
3405:   PetscInt       header[4],*rowlengths = 0,M,N,m,*rowners,*cols;
3406:   PetscInt       *locrowlens = NULL,*procsnz = NULL,*browners = NULL;
3407:   PetscInt       jj,*mycols,*ibuf,bs = newmat->rmap->bs,Mbs,mbs,extra_rows,mmax;
3408:   PetscMPIInt    tag    = ((PetscObject)viewer)->tag;
3409:   PetscInt       *dlens = NULL,*odlens = NULL,*mask = NULL,*masked1 = NULL,*masked2 = NULL,rowcount,odcount;
3410:   PetscInt       dcount,kmax,k,nzcount,tmp,mend;
3411:   PetscBool      isbinary;

3414:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);
3415:   if (!isbinary) SETERRQ2(PetscObjectComm((PetscObject)newmat),PETSC_ERR_SUP,"Viewer type %s not yet supported for reading %s matrices",((PetscObject)viewer)->type_name,((PetscObject)newmat)->type_name);

3417:   /* force binary viewer to load .info file if it has not yet done so */
3418:   PetscViewerSetUp(viewer);
3419:   PetscObjectGetComm((PetscObject)viewer,&comm);
3420:   PetscOptionsBegin(comm,NULL,"Options for loading MPIBAIJ matrix 2","Mat");
3421:   PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,NULL);
3422:   PetscOptionsEnd();
3423:   if (bs < 0) bs = 1;

3425:   MPI_Comm_size(comm,&size);
3426:   MPI_Comm_rank(comm,&rank);
3427:   PetscViewerBinaryGetDescriptor(viewer,&fd);
3428:   if (!rank) {
3429:     PetscBinaryRead(fd,(char*)header,4,PETSC_INT);
3430:     if (header[0] != MAT_FILE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"not matrix object");
3431:     if (header[3] < 0) SETERRQ(PetscObjectComm((PetscObject)newmat),PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk, cannot load as MPIAIJ");
3432:   }
3433:   MPI_Bcast(header+1,3,MPIU_INT,0,comm);
3434:   M    = header[1]; N = header[2];

3436:   /* If global sizes are set, check if they are consistent with that given in the file */
3437:   if (newmat->rmap->N >= 0 && newmat->rmap->N != M) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Inconsistent # of rows:Matrix in file has (%D) and input matrix has (%D)",newmat->rmap->N,M);
3438:   if (newmat->cmap->N >= 0 && newmat->cmap->N != N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Inconsistent # of cols:Matrix in file has (%D) and input matrix has (%D)",newmat->cmap->N,N);

3440:   if (M != N) SETERRQ(PetscObjectComm((PetscObject)viewer),PETSC_ERR_SUP,"Can only do square matrices");

3442:   /*
3443:      This code adds extra rows to make sure the number of rows is
3444:      divisible by the blocksize
3445:   */
3446:   Mbs        = M/bs;
3447:   extra_rows = bs - M + bs*Mbs;
3448:   if (extra_rows == bs) extra_rows = 0;
3449:   else                  Mbs++;
3450:   if (extra_rows && !rank) {
3451:     PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");
3452:   }

3454:   /* determine ownership of all rows */
3455:   if (newmat->rmap->n < 0) { /* PETSC_DECIDE */
3456:     mbs = Mbs/size + ((Mbs % size) > rank);
3457:     m   = mbs*bs;
3458:   } else { /* User set */
3459:     m   = newmat->rmap->n;
3460:     mbs = m/bs;
3461:   }
3462:   PetscMalloc2(size+1,&rowners,size+1,&browners);
3463:   MPI_Allgather(&mbs,1,MPIU_INT,rowners+1,1,MPIU_INT,comm);

3465:   /* process 0 needs enough room for process with most rows */
3466:   if (!rank) {
3467:     mmax = rowners[1];
3468:     for (i=2; i<=size; i++) {
3469:       mmax = PetscMax(mmax,rowners[i]);
3470:     }
3471:     mmax*=bs;
3472:   } else mmax = -1;             /* unused, but compiler warns anyway */

3474:   rowners[0] = 0;
3475:   for (i=2; i<=size; i++) rowners[i] += rowners[i-1];
3476:   for (i=0; i<=size; i++) browners[i] = rowners[i]*bs;
3477:   rstart = rowners[rank];
3478:   rend   = rowners[rank+1];

3480:   /* distribute row lengths to all processors */
3481:   PetscMalloc1(m,&locrowlens);
3482:   if (!rank) {
3483:     mend = m;
3484:     if (size == 1) mend = mend - extra_rows;
3485:     PetscBinaryRead(fd,locrowlens,mend,PETSC_INT);
3486:     for (j=mend; j<m; j++) locrowlens[j] = 1;
3487:     PetscMalloc1(mmax,&rowlengths);
3488:     PetscCalloc1(size,&procsnz);
3489:     for (j=0; j<m; j++) {
3490:       procsnz[0] += locrowlens[j];
3491:     }
3492:     for (i=1; i<size; i++) {
3493:       mend = browners[i+1] - browners[i];
3494:       if (i == size-1) mend = mend - extra_rows;
3495:       PetscBinaryRead(fd,rowlengths,mend,PETSC_INT);
3496:       for (j=mend; j<browners[i+1] - browners[i]; j++) rowlengths[j] = 1;
3497:       /* calculate the number of nonzeros on each processor */
3498:       for (j=0; j<browners[i+1]-browners[i]; j++) {
3499:         procsnz[i] += rowlengths[j];
3500:       }
3501:       MPI_Send(rowlengths,browners[i+1]-browners[i],MPIU_INT,i,tag,comm);
3502:     }
3503:     PetscFree(rowlengths);
3504:   } else {
3505:     MPI_Recv(locrowlens,m,MPIU_INT,0,tag,comm,&status);
3506:   }

3508:   if (!rank) {
3509:     /* determine max buffer needed and allocate it */
3510:     maxnz = procsnz[0];
3511:     for (i=1; i<size; i++) {
3512:       maxnz = PetscMax(maxnz,procsnz[i]);
3513:     }
3514:     PetscMalloc1(maxnz,&cols);

3516:     /* read in my part of the matrix column indices  */
3517:     nz     = procsnz[0];
3518:     PetscMalloc1(nz+1,&ibuf);
3519:     mycols = ibuf;
3520:     if (size == 1) nz -= extra_rows;
3521:     PetscBinaryRead(fd,mycols,nz,PETSC_INT);
3522:     if (size == 1) {
3523:       for (i=0; i< extra_rows; i++) mycols[nz+i] = M+i;
3524:     }

3526:     /* read in every ones (except the last) and ship off */
3527:     for (i=1; i<size-1; i++) {
3528:       nz   = procsnz[i];
3529:       PetscBinaryRead(fd,cols,nz,PETSC_INT);
3530:       MPI_Send(cols,nz,MPIU_INT,i,tag,comm);
3531:     }
3532:     /* read in the stuff for the last proc */
3533:     if (size != 1) {
3534:       nz   = procsnz[size-1] - extra_rows;  /* the extra rows are not on the disk */
3535:       PetscBinaryRead(fd,cols,nz,PETSC_INT);
3536:       for (i=0; i<extra_rows; i++) cols[nz+i] = M+i;
3537:       MPI_Send(cols,nz+extra_rows,MPIU_INT,size-1,tag,comm);
3538:     }
3539:     PetscFree(cols);
3540:   } else {
3541:     /* determine buffer space needed for message */
3542:     nz = 0;
3543:     for (i=0; i<m; i++) {
3544:       nz += locrowlens[i];
3545:     }
3546:     PetscMalloc1(nz+1,&ibuf);
3547:     mycols = ibuf;
3548:     /* receive message of column indices*/
3549:     MPI_Recv(mycols,nz,MPIU_INT,0,tag,comm,&status);
3550:     MPI_Get_count(&status,MPIU_INT,&maxnz);
3551:     if (maxnz != nz) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"something is wrong with file");
3552:   }

3554:   /* loop over local rows, determining number of off diagonal entries */
3555:   PetscMalloc2(rend-rstart,&dlens,rend-rstart,&odlens);
3556:   PetscCalloc3(Mbs,&mask,Mbs,&masked1,Mbs,&masked2);
3557:   rowcount = 0; nzcount = 0;
3558:   for (i=0; i<mbs; i++) {
3559:     dcount  = 0;
3560:     odcount = 0;
3561:     for (j=0; j<bs; j++) {
3562:       kmax = locrowlens[rowcount];
3563:       for (k=0; k<kmax; k++) {
3564:         tmp = mycols[nzcount++]/bs;
3565:         if (!mask[tmp]) {
3566:           mask[tmp] = 1;
3567:           if (tmp < rstart || tmp >= rend) masked2[odcount++] = tmp;
3568:           else masked1[dcount++] = tmp;
3569:         }
3570:       }
3571:       rowcount++;
3572:     }

3574:     dlens[i]  = dcount;
3575:     odlens[i] = odcount;

3577:     /* zero out the mask elements we set */
3578:     for (j=0; j<dcount; j++) mask[masked1[j]] = 0;
3579:     for (j=0; j<odcount; j++) mask[masked2[j]] = 0;
3580:   }

3582:   MatSetSizes(newmat,m,m,M+extra_rows,N+extra_rows);
3583:   MatMPIBAIJSetPreallocation(newmat,bs,0,dlens,0,odlens);

3585:   if (!rank) {
3586:     PetscMalloc1(maxnz+1,&buf);
3587:     /* read in my part of the matrix numerical values  */
3588:     nz     = procsnz[0];
3589:     vals   = buf;
3590:     mycols = ibuf;
3591:     if (size == 1) nz -= extra_rows;
3592:     PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);
3593:     if (size == 1) {
3594:       for (i=0; i< extra_rows; i++) vals[nz+i] = 1.0;
3595:     }

3597:     /* insert into matrix */
3598:     jj = rstart*bs;
3599:     for (i=0; i<m; i++) {
3600:       MatSetValues_MPIBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);
3601:       mycols += locrowlens[i];
3602:       vals   += locrowlens[i];
3603:       jj++;
3604:     }
3605:     /* read in other processors (except the last one) and ship out */
3606:     for (i=1; i<size-1; i++) {
3607:       nz   = procsnz[i];
3608:       vals = buf;
3609:       PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);
3610:       MPIULong_Send(vals,nz,MPIU_SCALAR,i,((PetscObject)newmat)->tag,comm);
3611:     }
3612:     /* the last proc */
3613:     if (size != 1) {
3614:       nz   = procsnz[i] - extra_rows;
3615:       vals = buf;
3616:       PetscBinaryRead(fd,vals,nz,PETSC_SCALAR);
3617:       for (i=0; i<extra_rows; i++) vals[nz+i] = 1.0;
3618:       MPIULong_Send(vals,nz+extra_rows,MPIU_SCALAR,size-1,((PetscObject)newmat)->tag,comm);
3619:     }
3620:     PetscFree(procsnz);
3621:   } else {
3622:     /* receive numeric values */
3623:     PetscMalloc1(nz+1,&buf);

3625:     /* receive message of values*/
3626:     vals   = buf;
3627:     mycols = ibuf;
3628:     MPIULong_Recv(vals,nz,MPIU_SCALAR,0,((PetscObject)newmat)->tag,comm);

3630:     /* insert into matrix */
3631:     jj = rstart*bs;
3632:     for (i=0; i<m; i++) {
3633:       MatSetValues_MPIBAIJ(newmat,1,&jj,locrowlens[i],mycols,vals,INSERT_VALUES);
3634:       mycols += locrowlens[i];
3635:       vals   += locrowlens[i];
3636:       jj++;
3637:     }
3638:   }
3639:   PetscFree(locrowlens);
3640:   PetscFree(buf);
3641:   PetscFree(ibuf);
3642:   PetscFree2(rowners,browners);
3643:   PetscFree2(dlens,odlens);
3644:   PetscFree3(mask,masked1,masked2);
3645:   MatAssemblyBegin(newmat,MAT_FINAL_ASSEMBLY);
3646:   MatAssemblyEnd(newmat,MAT_FINAL_ASSEMBLY);
3647:   return(0);
3648: }

3650: /*@
3651:    MatMPIBAIJSetHashTableFactor - Sets the factor required to compute the size of the HashTable.

3653:    Input Parameters:
3654: .  mat  - the matrix
3655: .  fact - factor

3657:    Not Collective, each process can use a different factor

3659:    Level: advanced

3661:   Notes:
3662:    This can also be set by the command line option: -mat_use_hash_table <fact>

3664: .keywords: matrix, hashtable, factor, HT

3666: .seealso: MatSetOption()
3667: @*/
3668: PetscErrorCode  MatMPIBAIJSetHashTableFactor(Mat mat,PetscReal fact)
3669: {

3673:   PetscTryMethod(mat,"MatSetHashTableFactor_C",(Mat,PetscReal),(mat,fact));
3674:   return(0);
3675: }

3677: PetscErrorCode  MatSetHashTableFactor_MPIBAIJ(Mat mat,PetscReal fact)
3678: {
3679:   Mat_MPIBAIJ *baij;

3682:   baij          = (Mat_MPIBAIJ*)mat->data;
3683:   baij->ht_fact = fact;
3684:   return(0);
3685: }

3687: PetscErrorCode  MatMPIBAIJGetSeqBAIJ(Mat A,Mat *Ad,Mat *Ao,const PetscInt *colmap[])
3688: {
3689:   Mat_MPIBAIJ    *a = (Mat_MPIBAIJ*)A->data;
3690:   PetscBool      flg;

3694:   PetscObjectTypeCompare((PetscObject)A,MATMPIBAIJ,&flg);
3695:   if (!flg) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"This function requires a MATMPIBAIJ matrix as input");
3696:   if (Ad)     *Ad     = a->A;
3697:   if (Ao)     *Ao     = a->B;
3698:   if (colmap) *colmap = a->garray;
3699:   return(0);
3700: }

3702: /*
3703:     Special version for direct calls from Fortran (to eliminate two function call overheads
3704: */
3705: #if defined(PETSC_HAVE_FORTRAN_CAPS)
3706: #define matmpibaijsetvaluesblocked_ MATMPIBAIJSETVALUESBLOCKED
3707: #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
3708: #define matmpibaijsetvaluesblocked_ matmpibaijsetvaluesblocked
3709: #endif

3711: /*@C
3712:   MatMPIBAIJSetValuesBlocked - Direct Fortran call to replace call to MatSetValuesBlocked()

3714:   Collective on Mat

3716:   Input Parameters:
3717: + mat - the matrix
3718: . min - number of input rows
3719: . im - input rows
3720: . nin - number of input columns
3721: . in - input columns
3722: . v - numerical values input
3723: - addvin - INSERT_VALUES or ADD_VALUES

3725:   Notes:
3726:     This has a complete copy of MatSetValuesBlocked_MPIBAIJ() which is terrible code un-reuse.

3728:   Level: advanced

3730: .seealso:   MatSetValuesBlocked()
3731: @*/
3732: PetscErrorCode matmpibaijsetvaluesblocked_(Mat *matin,PetscInt *min,const PetscInt im[],PetscInt *nin,const PetscInt in[],const MatScalar v[],InsertMode *addvin)
3733: {
3734:   /* convert input arguments to C version */
3735:   Mat        mat  = *matin;
3736:   PetscInt   m    = *min, n = *nin;
3737:   InsertMode addv = *addvin;

3739:   Mat_MPIBAIJ     *baij = (Mat_MPIBAIJ*)mat->data;
3740:   const MatScalar *value;
3741:   MatScalar       *barray     = baij->barray;
3742:   PetscBool       roworiented = baij->roworiented;
3743:   PetscErrorCode  ierr;
3744:   PetscInt        i,j,ii,jj,row,col,rstart=baij->rstartbs;
3745:   PetscInt        rend=baij->rendbs,cstart=baij->cstartbs,stepval;
3746:   PetscInt        cend=baij->cendbs,bs=mat->rmap->bs,bs2=baij->bs2;

3749:   /* tasks normally handled by MatSetValuesBlocked() */
3750:   if (mat->insertmode == NOT_SET_VALUES) mat->insertmode = addv;
3751: #if defined(PETSC_USE_DEBUG)
3752:   else if (mat->insertmode != addv) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Cannot mix add values and insert values");
3753:   if (mat->factortype) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
3754: #endif
3755:   if (mat->assembled) {
3756:     mat->was_assembled = PETSC_TRUE;
3757:     mat->assembled     = PETSC_FALSE;
3758:   }
3759:   PetscLogEventBegin(MAT_SetValues,mat,0,0,0);


3762:   if (!barray) {
3763:     PetscMalloc1(bs2,&barray);
3764:     baij->barray = barray;
3765:   }

3767:   if (roworiented) stepval = (n-1)*bs;
3768:   else stepval = (m-1)*bs;

3770:   for (i=0; i<m; i++) {
3771:     if (im[i] < 0) continue;
3772: #if defined(PETSC_USE_DEBUG)
3773:     if (im[i] >= baij->Mbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large, row %D max %D",im[i],baij->Mbs-1);
3774: #endif
3775:     if (im[i] >= rstart && im[i] < rend) {
3776:       row = im[i] - rstart;
3777:       for (j=0; j<n; j++) {
3778:         /* If NumCol = 1 then a copy is not required */
3779:         if ((roworiented) && (n == 1)) {
3780:           barray = (MatScalar*)v + i*bs2;
3781:         } else if ((!roworiented) && (m == 1)) {
3782:           barray = (MatScalar*)v + j*bs2;
3783:         } else { /* Here a copy is required */
3784:           if (roworiented) {
3785:             value = v + i*(stepval+bs)*bs + j*bs;
3786:           } else {
3787:             value = v + j*(stepval+bs)*bs + i*bs;
3788:           }
3789:           for (ii=0; ii<bs; ii++,value+=stepval) {
3790:             for (jj=0; jj<bs; jj++) {
3791:               *barray++ = *value++;
3792:             }
3793:           }
3794:           barray -=bs2;
3795:         }

3797:         if (in[j] >= cstart && in[j] < cend) {
3798:           col  = in[j] - cstart;
3799:           MatSetValuesBlocked_SeqBAIJ_Inlined(baij->A,row,col,barray,addv,im[i],in[j]);
3800:         } else if (in[j] < 0) continue;
3801: #if defined(PETSC_USE_DEBUG)
3802:         else if (in[j] >= baij->Nbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large, col %D max %D",in[j],baij->Nbs-1);
3803: #endif
3804:         else {
3805:           if (mat->was_assembled) {
3806:             if (!baij->colmap) {
3807:               MatCreateColmap_MPIBAIJ_Private(mat);
3808:             }

3810: #if defined(PETSC_USE_DEBUG)
3811: #if defined(PETSC_USE_CTABLE)
3812:             { PetscInt data;
3813:               PetscTableFind(baij->colmap,in[j]+1,&data);
3814:               if ((data - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
3815:             }
3816: #else
3817:             if ((baij->colmap[in[j]] - 1) % bs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Incorrect colmap");
3818: #endif
3819: #endif
3820: #if defined(PETSC_USE_CTABLE)
3821:             PetscTableFind(baij->colmap,in[j]+1,&col);
3822:             col  = (col - 1)/bs;
3823: #else
3824:             col = (baij->colmap[in[j]] - 1)/bs;
3825: #endif
3826:             if (col < 0 && !((Mat_SeqBAIJ*)(baij->A->data))->nonew) {
3827:               MatDisAssemble_MPIBAIJ(mat);
3828:               col  =  in[j];
3829:             }
3830:           } else col = in[j];
3831:           MatSetValuesBlocked_SeqBAIJ_Inlined(baij->B,row,col,barray,addv,im[i],in[j]);
3832:         }
3833:       }
3834:     } else {
3835:       if (!baij->donotstash) {
3836:         if (roworiented) {
3837:           MatStashValuesRowBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);
3838:         } else {
3839:           MatStashValuesColBlocked_Private(&mat->bstash,im[i],n,in,v,m,n,i);
3840:         }
3841:       }
3842:     }
3843:   }

3845:   /* task normally handled by MatSetValuesBlocked() */
3846:   PetscLogEventEnd(MAT_SetValues,mat,0,0,0);
3847:   return(0);
3848: }

3850: /*@
3851:      MatCreateMPIBAIJWithArrays - creates a MPI BAIJ matrix using arrays that contain in standard block
3852:          CSR format the local rows.

3854:    Collective on MPI_Comm

3856:    Input Parameters:
3857: +  comm - MPI communicator
3858: .  bs - the block size, only a block size of 1 is supported
3859: .  m - number of local rows (Cannot be PETSC_DECIDE)
3860: .  n - This value should be the same as the local size used in creating the
3861:        x vector for the matrix-vector product y = Ax. (or PETSC_DECIDE to have
3862:        calculated if N is given) For square matrices n is almost always m.
3863: .  M - number of global rows (or PETSC_DETERMINE to have calculated if m is given)
3864: .  N - number of global columns (or PETSC_DETERMINE to have calculated if n is given)
3865: .   i - row indices; that is i[0] = 0, i[row] = i[row-1] + number of block elements in that rowth block row of the matrix
3866: .   j - column indices
3867: -   a - matrix values

3869:    Output Parameter:
3870: .   mat - the matrix

3872:    Level: intermediate

3874:    Notes:
3875:        The i, j, and a arrays ARE copied by this routine into the internal format used by PETSc;
3876:      thus you CANNOT change the matrix entries by changing the values of a[] after you have
3877:      called this routine. Use MatCreateMPIAIJWithSplitArrays() to avoid needing to copy the arrays.

3879:      The order of the entries in values is the same as the block compressed sparse row storage format; that is, it is
3880:      the same as a three dimensional array in Fortran values(bs,bs,nnz) that contains the first column of the first
3881:      block, followed by the second column of the first block etc etc.  That is, the blocks are contiguous in memory
3882:      with column-major ordering within blocks.

3884:        The i and j indices are 0 based, and i indices are indices corresponding to the local j array.

3886: .keywords: matrix, aij, compressed row, sparse, parallel

3888: .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatMPIAIJSetPreallocation(), MatMPIAIJSetPreallocationCSR(),
3889:           MPIAIJ, MatCreateAIJ(), MatCreateMPIAIJWithSplitArrays()
3890: @*/
3891: PetscErrorCode  MatCreateMPIBAIJWithArrays(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt M,PetscInt N,const PetscInt i[],const PetscInt j[],const PetscScalar a[],Mat *mat)
3892: {

3896:   if (i[0]) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
3897:   if (m < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"local number of rows (m) cannot be PETSC_DECIDE, or negative");
3898:   MatCreate(comm,mat);
3899:   MatSetSizes(*mat,m,n,M,N);
3900:   MatSetType(*mat,MATMPIBAIJ);
3901:   MatSetBlockSize(*mat,bs);
3902:   MatSetUp(*mat);
3903:   MatSetOption(*mat,MAT_ROW_ORIENTED,PETSC_FALSE);
3904:   MatMPIBAIJSetPreallocationCSR(*mat,bs,i,j,a);
3905:   MatSetOption(*mat,MAT_ROW_ORIENTED,PETSC_TRUE);
3906:   return(0);
3907: }

3909: PetscErrorCode MatCreateMPIMatConcatenateSeqMat_MPIBAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
3910: {
3912:   PetscInt       m,N,i,rstart,nnz,Ii,bs,cbs;
3913:   PetscInt       *indx;
3914:   PetscScalar    *values;

3917:   MatGetSize(inmat,&m,&N);
3918:   if (scall == MAT_INITIAL_MATRIX) { /* symbolic phase */
3919:     Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)inmat->data;
3920:     PetscInt       *dnz,*onz,mbs,Nbs,nbs;
3921:     PetscInt       *bindx,rmax=a->rmax,j;
3922:     PetscMPIInt    rank,size;

3924:     MatGetBlockSizes(inmat,&bs,&cbs);
3925:     mbs = m/bs; Nbs = N/cbs;
3926:     if (n == PETSC_DECIDE) {
3927:       nbs  = n;
3928:       PetscSplitOwnership(comm,&nbs,&Nbs);
3929:       n    = nbs*cbs;
3930:     } else {
3931:       nbs = n/cbs;
3932:     }

3934:     PetscMalloc1(rmax,&bindx);
3935:     MatPreallocateInitialize(comm,mbs,nbs,dnz,onz); /* inline function, output __end and __rstart are used below */

3937:     MPI_Comm_rank(comm,&rank);
3938:     MPI_Comm_rank(comm,&size);
3939:     if (rank == size-1) {
3940:       /* Check sum(nbs) = Nbs */
3941:       if (__end != Nbs) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Sum of local block columns %D != global block columns %D",__end,Nbs);
3942:     }

3944:     rstart = __rstart; /* block rstart of *outmat; see inline function MatPreallocateInitialize */
3945:     for (i=0; i<mbs; i++) {
3946:       MatGetRow_SeqBAIJ(inmat,i*bs,&nnz,&indx,NULL); /* non-blocked nnz and indx */
3947:       nnz = nnz/bs;
3948:       for (j=0; j<nnz; j++) bindx[j] = indx[j*bs]/bs;
3949:       MatPreallocateSet(i+rstart,nnz,bindx,dnz,onz);
3950:       MatRestoreRow_SeqBAIJ(inmat,i*bs,&nnz,&indx,NULL);
3951:     }
3952:     PetscFree(bindx);

3954:     MatCreate(comm,outmat);
3955:     MatSetSizes(*outmat,m,n,PETSC_DETERMINE,PETSC_DETERMINE);
3956:     MatSetBlockSizes(*outmat,bs,cbs);
3957:     MatSetType(*outmat,MATBAIJ);
3958:     MatSeqBAIJSetPreallocation(*outmat,bs,0,dnz);
3959:     MatMPIBAIJSetPreallocation(*outmat,bs,0,dnz,0,onz);
3960:     MatPreallocateFinalize(dnz,onz);
3961:   }

3963:   /* numeric phase */
3964:   MatGetBlockSizes(inmat,&bs,&cbs);
3965:   MatGetOwnershipRange(*outmat,&rstart,NULL);

3967:   for (i=0; i<m; i++) {
3968:     MatGetRow_SeqBAIJ(inmat,i,&nnz,&indx,&values);
3969:     Ii   = i + rstart;
3970:     MatSetValues(*outmat,1,&Ii,nnz,indx,values,INSERT_VALUES);
3971:     MatRestoreRow_SeqBAIJ(inmat,i,&nnz,&indx,&values);
3972:   }
3973:   MatAssemblyBegin(*outmat,MAT_FINAL_ASSEMBLY);
3974:   MatAssemblyEnd(*outmat,MAT_FINAL_ASSEMBLY);
3975:   return(0);
3976: }