Actual source code: plexpreallocate.c

petsc-3.6.4 2016-04-12
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  1: #include <petsc/private/dmpleximpl.h>   /*I      "petscdmplex.h"   I*/
  2: #include <petsc/private/isimpl.h>
  3: #include <petscsf.h>
  4: #include <petscds.h>

  8: /* get adjacencies due to point-to-point constraints that can't be found with DMPlexGetAdjacency() */
  9: static PetscErrorCode DMPlexComputeAnchorAdjacencies(DM dm, PetscBool useCone, PetscBool useClosure, PetscSection *anchorSectionAdj, PetscInt *anchorAdj[])
 10: {
 11:   PetscInt       pStart, pEnd;
 12:   PetscSection   section, sectionGlobal, adjSec, aSec;
 13:   IS             aIS;

 17:   DMGetDefaultSection(dm, &section);
 18:   DMGetDefaultGlobalSection(dm, &sectionGlobal);
 19:   PetscSectionCreate(PetscObjectComm((PetscObject) section), &adjSec);
 20:   PetscSectionGetChart(section,&pStart,&pEnd);
 21:   PetscSectionSetChart(adjSec,pStart,pEnd);

 23:   DMPlexGetAnchors(dm,&aSec,&aIS);
 24:   if (aSec) {
 25:     const PetscInt *anchors;
 26:     PetscInt       p, q, a, aSize, *offsets, aStart, aEnd, *inverse, iSize, *adj, adjSize;
 27:     PetscInt       *tmpAdjP = NULL, *tmpAdjQ = NULL;
 28:     PetscSection   inverseSec;

 30:     /* invert the constraint-to-anchor map */
 31:     PetscSectionCreate(PetscObjectComm((PetscObject)aSec),&inverseSec);
 32:     PetscSectionSetChart(inverseSec,pStart,pEnd);
 33:     ISGetLocalSize(aIS, &aSize);
 34:     ISGetIndices(aIS, &anchors);

 36:     for (p = 0; p < aSize; p++) {
 37:       PetscInt a = anchors[p];

 39:       PetscSectionAddDof(inverseSec,a,1);
 40:     }
 41:     PetscSectionSetUp(inverseSec);
 42:     PetscSectionGetStorageSize(inverseSec,&iSize);
 43:     PetscMalloc1(iSize,&inverse);
 44:     PetscCalloc1(pEnd-pStart,&offsets);
 45:     PetscSectionGetChart(aSec,&aStart,&aEnd);
 46:     for (p = aStart; p < aEnd; p++) {
 47:       PetscInt dof, off;

 49:       PetscSectionGetDof(aSec, p, &dof);
 50:       PetscSectionGetOffset(aSec, p, &off);

 52:       for (q = 0; q < dof; q++) {
 53:         PetscInt iOff;

 55:         a = anchors[off + q];
 56:         PetscSectionGetOffset(inverseSec, a, &iOff);
 57:         inverse[iOff + offsets[a-pStart]++] = p;
 58:       }
 59:     }
 60:     ISRestoreIndices(aIS, &anchors);
 61:     PetscFree(offsets);

 63:     /* construct anchorAdj and adjSec
 64:      *
 65:      * loop over anchors:
 66:      *   construct anchor adjacency
 67:      *   loop over constrained:
 68:      *     construct constrained adjacency
 69:      *     if not in anchor adjacency, add to dofs
 70:      * setup adjSec, allocate anchorAdj
 71:      * loop over anchors:
 72:      *   construct anchor adjacency
 73:      *   loop over constrained:
 74:      *     construct constrained adjacency
 75:      *     if not in anchor adjacency
 76:      *       if not already in list, put in list
 77:      *   sort, unique, reduce dof count
 78:      * optional: compactify
 79:      */
 80:     for (p = pStart; p < pEnd; p++) {
 81:       PetscInt iDof, iOff, i, r, s, numAdjP = PETSC_DETERMINE;

 83:       PetscSectionGetDof(inverseSec,p,&iDof);
 84:       if (!iDof) continue;
 85:       PetscSectionGetOffset(inverseSec,p,&iOff);
 86:       DMPlexGetAdjacency_Internal(dm,p,useCone,useClosure,PETSC_TRUE,&numAdjP,&tmpAdjP);
 87:       for (i = 0; i < iDof; i++) {
 88:         PetscInt iNew = 0, qAdj, qAdjDof, qAdjCDof, numAdjQ = PETSC_DETERMINE;

 90:         q = inverse[iOff + i];
 91:         DMPlexGetAdjacency_Internal(dm,q,useCone,useClosure,PETSC_TRUE,&numAdjQ,&tmpAdjQ);
 92:         for (r = 0; r < numAdjQ; r++) {
 93:           qAdj = tmpAdjQ[r];
 94:           if ((qAdj < pStart) || (qAdj >= pEnd)) continue;
 95:           for (s = 0; s < numAdjP; s++) {
 96:             if (qAdj == tmpAdjP[s]) break;
 97:           }
 98:           if (s < numAdjP) continue;
 99:           PetscSectionGetDof(section,qAdj,&qAdjDof);
100:           PetscSectionGetConstraintDof(section,qAdj,&qAdjCDof);
101:           iNew += qAdjDof - qAdjCDof;
102:         }
103:         PetscSectionAddDof(adjSec,p,iNew);
104:       }
105:     }

107:     PetscSectionSetUp(adjSec);
108:     PetscSectionGetStorageSize(adjSec,&adjSize);
109:     PetscMalloc1(adjSize,&adj);

111:     for (p = pStart; p < pEnd; p++) {
112:       PetscInt iDof, iOff, i, r, s, aOff, aOffOrig, aDof, numAdjP = PETSC_DETERMINE;

114:       PetscSectionGetDof(inverseSec,p,&iDof);
115:       if (!iDof) continue;
116:       PetscSectionGetOffset(inverseSec,p,&iOff);
117:       DMPlexGetAdjacency_Internal(dm,p,useCone,useClosure,PETSC_TRUE,&numAdjP,&tmpAdjP);
118:       PetscSectionGetDof(adjSec,p,&aDof);
119:       PetscSectionGetOffset(adjSec,p,&aOff);
120:       aOffOrig = aOff;
121:       for (i = 0; i < iDof; i++) {
122:         PetscInt qAdj, qAdjDof, qAdjCDof, qAdjOff, nd, numAdjQ = PETSC_DETERMINE;

124:         q = inverse[iOff + i];
125:         DMPlexGetAdjacency_Internal(dm,q,useCone,useClosure,PETSC_TRUE,&numAdjQ,&tmpAdjQ);
126:         for (r = 0; r < numAdjQ; r++) {
127:           qAdj = tmpAdjQ[r];
128:           if ((qAdj < pStart) || (qAdj >= pEnd)) continue;
129:           for (s = 0; s < numAdjP; s++) {
130:             if (qAdj == tmpAdjP[s]) break;
131:           }
132:           if (s < numAdjP) continue;
133:           PetscSectionGetDof(section,qAdj,&qAdjDof);
134:           PetscSectionGetConstraintDof(section,qAdj,&qAdjCDof);
135:           PetscSectionGetOffset(sectionGlobal,qAdj,&qAdjOff);
136:           for (nd = 0; nd < qAdjDof-qAdjCDof; ++nd) {
137:             adj[aOff++] = (qAdjOff < 0 ? -(qAdjOff+1) : qAdjOff) + nd;
138:           }
139:         }
140:       }
141:       PetscSortRemoveDupsInt(&aDof,&adj[aOffOrig]);
142:       PetscSectionSetDof(adjSec,p,aDof);
143:     }
144:     *anchorAdj = adj;

146:     /* clean up */
147:     PetscSectionDestroy(&inverseSec);
148:     PetscFree(inverse);
149:     PetscFree(tmpAdjP);
150:     PetscFree(tmpAdjQ);
151:   }
152:   else {
153:     *anchorAdj = NULL;
154:     PetscSectionSetUp(adjSec);
155:   }
156:   *anchorSectionAdj = adjSec;
157:   return(0);
158: }

162: PetscErrorCode DMPlexCreateAdjacencySection_Static(DM dm, PetscInt bs, PetscSF sfDof, PetscBool useCone, PetscBool useClosure, PetscBool useAnchors, PetscSection *sA, PetscInt **colIdx)
163: {
164:   MPI_Comm           comm;
165:   PetscMPIInt        size;
166:   PetscBool          doCommLocal, doComm, debug = PETSC_FALSE;
167:   PetscSF            sf, sfAdj;
168:   PetscSection       section, sectionGlobal, leafSectionAdj, rootSectionAdj, sectionAdj, anchorSectionAdj;
169:   PetscInt           nroots, nleaves, l, p, r;
170:   const PetscInt    *leaves;
171:   const PetscSFNode *remotes;
172:   PetscInt           dim, pStart, pEnd, numDof, globalOffStart, globalOffEnd, numCols;
173:   PetscInt          *tmpAdj = NULL, *adj, *rootAdj, *anchorAdj = NULL, *cols, *remoteOffsets;
174:   PetscInt           adjSize;
175:   PetscErrorCode     ierr;

178:   PetscObjectGetComm((PetscObject) dm, &comm);
179:   PetscOptionsGetBool(NULL, "-dm_view_preallocation", &debug, NULL);
180:   MPI_Comm_size(comm, &size);
181:   DMGetDimension(dm, &dim);
182:   DMGetPointSF(dm, &sf);
183:   DMGetDefaultSection(dm, &section);
184:   DMGetDefaultGlobalSection(dm, &sectionGlobal);
185:   PetscSFGetGraph(sf, &nroots, NULL, NULL, NULL);
186:   doCommLocal = (size > 1) && (nroots >= 0) ? PETSC_TRUE : PETSC_FALSE;
187:   MPI_Allreduce(&doCommLocal, &doComm, 1, MPIU_BOOL, MPI_LAND, comm);
188:   /* Create section for dof adjacency (dof ==> # adj dof) */
189:   PetscSectionGetChart(section, &pStart, &pEnd);
190:   PetscSectionGetStorageSize(section, &numDof);
191:   PetscSectionCreate(comm, &leafSectionAdj);
192:   PetscSectionSetChart(leafSectionAdj, 0, numDof);
193:   PetscSectionCreate(comm, &rootSectionAdj);
194:   PetscSectionSetChart(rootSectionAdj, 0, numDof);
195:   /*   Fill in the ghost dofs on the interface */
196:   PetscSFGetGraph(sf, NULL, &nleaves, &leaves, &remotes);
197:   /*
198:    section        - maps points to (# dofs, local dofs)
199:    sectionGlobal  - maps points to (# dofs, global dofs)
200:    leafSectionAdj - maps unowned local dofs to # adj dofs
201:    rootSectionAdj - maps   owned local dofs to # adj dofs
202:    adj            - adj global dofs indexed by leafSectionAdj
203:    rootAdj        - adj global dofs indexed by rootSectionAdj
204:    sf    - describes shared points across procs
205:    sfDof - describes shared dofs across procs
206:    sfAdj - describes shared adjacent dofs across procs
207:    ** The bootstrapping process involves six rounds with similar structure of visiting neighbors of each point.
208:   (0). If there are point-to-point constraints, add the adjacencies of constrained points to anchors in anchorAdj
209:        (This is done in DMPlexComputeAnchorAdjacencies())
210:     1. Visit unowned points on interface, count adjacencies placing in leafSectionAdj
211:        Reduce those counts to rootSectionAdj (now redundantly counting some interface points)
212:     2. Visit owned points on interface, count adjacencies placing in rootSectionAdj
213:        Create sfAdj connecting rootSectionAdj and leafSectionAdj
214:     3. Visit unowned points on interface, write adjacencies to adj
215:        Gather adj to rootAdj (note that there is redundancy in rootAdj when multiple procs find the same adjacencies)
216:     4. Visit owned points on interface, write adjacencies to rootAdj
217:        Remove redundancy in rootAdj
218:    ** The last two traversals use transitive closure
219:     5. Visit all owned points in the subdomain, count dofs for each point (sectionAdj)
220:        Allocate memory addressed by sectionAdj (cols)
221:     6. Visit all owned points in the subdomain, insert dof adjacencies into cols
222:    ** Knowing all the column adjacencies, check ownership and sum into dnz and onz
223:   */
224:   DMPlexComputeAnchorAdjacencies(dm, useCone, useClosure, &anchorSectionAdj, &anchorAdj);
225:   for (l = 0; l < nleaves; ++l) {
226:     PetscInt dof, off, d, q, anDof;
227:     PetscInt p = leaves[l], numAdj = PETSC_DETERMINE;

229:     if ((p < pStart) || (p >= pEnd)) continue;
230:     PetscSectionGetDof(section, p, &dof);
231:     PetscSectionGetOffset(section, p, &off);
232:     DMPlexGetAdjacency_Internal(dm, p, useCone, useClosure, useAnchors, &numAdj, &tmpAdj);
233:     for (q = 0; q < numAdj; ++q) {
234:       const PetscInt padj = tmpAdj[q];
235:       PetscInt ndof, ncdof;

237:       if ((padj < pStart) || (padj >= pEnd)) continue;
238:       PetscSectionGetDof(section, padj, &ndof);
239:       PetscSectionGetConstraintDof(section, padj, &ncdof);
240:       for (d = off; d < off+dof; ++d) {
241:         PetscSectionAddDof(leafSectionAdj, d, ndof-ncdof);
242:       }
243:     }
244:     PetscSectionGetDof(anchorSectionAdj, p, &anDof);
245:     if (anDof) {
246:       for (d = off; d < off+dof; ++d) {
247:         PetscSectionAddDof(leafSectionAdj, d, anDof);
248:       }
249:     }
250:   }
251:   PetscSectionSetUp(leafSectionAdj);
252:   if (debug) {
253:     PetscPrintf(comm, "Adjacency Section for Preallocation on Leaves:\n");
254:     PetscSectionView(leafSectionAdj, PETSC_VIEWER_STDOUT_WORLD);
255:   }
256:   /* Get maximum remote adjacency sizes for owned dofs on interface (roots) */
257:   if (doComm) {
258:     PetscSFReduceBegin(sfDof, MPIU_INT, leafSectionAdj->atlasDof, rootSectionAdj->atlasDof, MPI_SUM);
259:     PetscSFReduceEnd(sfDof, MPIU_INT, leafSectionAdj->atlasDof, rootSectionAdj->atlasDof, MPI_SUM);
260:   }
261:   if (debug) {
262:     PetscPrintf(comm, "Adjancency Section for Preallocation on Roots:\n");
263:     PetscSectionView(rootSectionAdj, PETSC_VIEWER_STDOUT_WORLD);
264:   }
265:   /* Add in local adjacency sizes for owned dofs on interface (roots) */
266:   for (p = pStart; p < pEnd; ++p) {
267:     PetscInt numAdj = PETSC_DETERMINE, adof, dof, off, d, q, anDof;

269:     PetscSectionGetDof(section, p, &dof);
270:     PetscSectionGetOffset(section, p, &off);
271:     if (!dof) continue;
272:     PetscSectionGetDof(rootSectionAdj, off, &adof);
273:     if (adof <= 0) continue;
274:     DMPlexGetAdjacency_Internal(dm, p, useCone, useClosure, useAnchors, &numAdj, &tmpAdj);
275:     for (q = 0; q < numAdj; ++q) {
276:       const PetscInt padj = tmpAdj[q];
277:       PetscInt ndof, ncdof;

279:       if ((padj < pStart) || (padj >= pEnd)) continue;
280:       PetscSectionGetDof(section, padj, &ndof);
281:       PetscSectionGetConstraintDof(section, padj, &ncdof);
282:       for (d = off; d < off+dof; ++d) {
283:         PetscSectionAddDof(rootSectionAdj, d, ndof-ncdof);
284:       }
285:     }
286:     PetscSectionGetDof(anchorSectionAdj, p, &anDof);
287:     if (anDof) {
288:       for (d = off; d < off+dof; ++d) {
289:         PetscSectionAddDof(rootSectionAdj, d, anDof);
290:       }
291:     }
292:   }
293:   PetscSectionSetUp(rootSectionAdj);
294:   if (debug) {
295:     PetscPrintf(comm, "Adjancency Section for Preallocation on Roots after local additions:\n");
296:     PetscSectionView(rootSectionAdj, PETSC_VIEWER_STDOUT_WORLD);
297:   }
298:   /* Create adj SF based on dof SF */
299:   PetscSFCreateRemoteOffsets(sfDof, rootSectionAdj, leafSectionAdj, &remoteOffsets);
300:   PetscSFCreateSectionSF(sfDof, rootSectionAdj, remoteOffsets, leafSectionAdj, &sfAdj);
301:   if (debug) {
302:     PetscPrintf(comm, "Adjacency SF for Preallocation:\n");
303:     PetscSFView(sfAdj, NULL);
304:   }
305:   /* Create leaf adjacency */
306:   PetscSectionSetUp(leafSectionAdj);
307:   PetscSectionGetStorageSize(leafSectionAdj, &adjSize);
308:   PetscCalloc1(adjSize, &adj);
309:   for (l = 0; l < nleaves; ++l) {
310:     PetscInt dof, off, d, q, anDof, anOff;
311:     PetscInt p = leaves[l], numAdj = PETSC_DETERMINE;

313:     if ((p < pStart) || (p >= pEnd)) continue;
314:     PetscSectionGetDof(section, p, &dof);
315:     PetscSectionGetOffset(section, p, &off);
316:     DMPlexGetAdjacency_Internal(dm, p, useCone, useClosure, useAnchors, &numAdj, &tmpAdj);
317:     PetscSectionGetDof(anchorSectionAdj, p, &anDof);
318:     PetscSectionGetOffset(anchorSectionAdj, p, &anOff);
319:     for (d = off; d < off+dof; ++d) {
320:       PetscInt aoff, i = 0;

322:       PetscSectionGetOffset(leafSectionAdj, d, &aoff);
323:       for (q = 0; q < numAdj; ++q) {
324:         const PetscInt padj = tmpAdj[q];
325:         PetscInt ndof, ncdof, ngoff, nd;

327:         if ((padj < pStart) || (padj >= pEnd)) continue;
328:         PetscSectionGetDof(section, padj, &ndof);
329:         PetscSectionGetConstraintDof(section, padj, &ncdof);
330:         PetscSectionGetOffset(sectionGlobal, padj, &ngoff);
331:         for (nd = 0; nd < ndof-ncdof; ++nd) {
332:           adj[aoff+i] = (ngoff < 0 ? -(ngoff+1) : ngoff) + nd;
333:           ++i;
334:         }
335:       }
336:       for (q = 0; q < anDof; q++) {
337:         adj[aoff+i] = anchorAdj[anOff+q];
338:         ++i;
339:       }
340:     }
341:   }
342:   /* Debugging */
343:   if (debug) {
344:     IS tmp;
345:     PetscPrintf(comm, "Leaf adjacency indices\n");
346:     ISCreateGeneral(comm, adjSize, adj, PETSC_USE_POINTER, &tmp);
347:     ISView(tmp, NULL);
348:     ISDestroy(&tmp);
349:   }
350:   /* Gather adjacent indices to root */
351:   PetscSectionGetStorageSize(rootSectionAdj, &adjSize);
352:   PetscMalloc1(adjSize, &rootAdj);
353:   for (r = 0; r < adjSize; ++r) rootAdj[r] = -1;
354:   if (doComm) {
355:     const PetscInt *indegree;
356:     PetscInt       *remoteadj, radjsize = 0;

358:     PetscSFComputeDegreeBegin(sfAdj, &indegree);
359:     PetscSFComputeDegreeEnd(sfAdj, &indegree);
360:     for (p = 0; p < adjSize; ++p) radjsize += indegree[p];
361:     PetscMalloc1(radjsize, &remoteadj);
362:     PetscSFGatherBegin(sfAdj, MPIU_INT, adj, remoteadj);
363:     PetscSFGatherEnd(sfAdj, MPIU_INT, adj, remoteadj);
364:     for (p = 0, l = 0, r = 0; p < adjSize; ++p, l = PetscMax(p, l + indegree[p-1])) {
365:       PetscInt s;
366:       for (s = 0; s < indegree[p]; ++s, ++r) rootAdj[l+s] = remoteadj[r];
367:     }
368:     if (r != radjsize) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Inconsistency in communication %d != %d", r, radjsize);
369:     if (l != adjSize)  SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Inconsistency in communication %d != %d", l, adjSize);
370:     PetscFree(remoteadj);
371:   }
372:   PetscSFDestroy(&sfAdj);
373:   PetscFree(adj);
374:   /* Debugging */
375:   if (debug) {
376:     IS tmp;
377:     PetscPrintf(comm, "Root adjacency indices after gather\n");
378:     ISCreateGeneral(comm, adjSize, rootAdj, PETSC_USE_POINTER, &tmp);
379:     ISView(tmp, NULL);
380:     ISDestroy(&tmp);
381:   }
382:   /* Add in local adjacency indices for owned dofs on interface (roots) */
383:   for (p = pStart; p < pEnd; ++p) {
384:     PetscInt numAdj = PETSC_DETERMINE, adof, dof, off, d, q, anDof, anOff;

386:     PetscSectionGetDof(section, p, &dof);
387:     PetscSectionGetOffset(section, p, &off);
388:     if (!dof) continue;
389:     PetscSectionGetDof(rootSectionAdj, off, &adof);
390:     if (adof <= 0) continue;
391:     DMPlexGetAdjacency_Internal(dm, p, useCone, useClosure, useAnchors, &numAdj, &tmpAdj);
392:     PetscSectionGetDof(anchorSectionAdj, p, &anDof);
393:     PetscSectionGetOffset(anchorSectionAdj, p, &anOff);
394:     for (d = off; d < off+dof; ++d) {
395:       PetscInt adof, aoff, i;

397:       PetscSectionGetDof(rootSectionAdj, d, &adof);
398:       PetscSectionGetOffset(rootSectionAdj, d, &aoff);
399:       i    = adof-1;
400:       for (q = 0; q < anDof; q++) {
401:         rootAdj[aoff+i] = anchorAdj[anOff+q];
402:         --i;
403:       }
404:       for (q = 0; q < numAdj; ++q) {
405:         const PetscInt padj = tmpAdj[q];
406:         PetscInt ndof, ncdof, ngoff, nd;

408:         if ((padj < pStart) || (padj >= pEnd)) continue;
409:         PetscSectionGetDof(section, padj, &ndof);
410:         PetscSectionGetConstraintDof(section, padj, &ncdof);
411:         PetscSectionGetOffset(sectionGlobal, padj, &ngoff);
412:         for (nd = 0; nd < ndof-ncdof; ++nd) {
413:           rootAdj[aoff+i] = ngoff < 0 ? -(ngoff+1)+nd : ngoff+nd;
414:           --i;
415:         }
416:       }
417:     }
418:   }
419:   /* Debugging */
420:   if (debug) {
421:     IS tmp;
422:     PetscPrintf(comm, "Root adjacency indices\n");
423:     ISCreateGeneral(comm, adjSize, rootAdj, PETSC_USE_POINTER, &tmp);
424:     ISView(tmp, NULL);
425:     ISDestroy(&tmp);
426:   }
427:   /* Compress indices */
428:   PetscSectionSetUp(rootSectionAdj);
429:   for (p = pStart; p < pEnd; ++p) {
430:     PetscInt dof, cdof, off, d;
431:     PetscInt adof, aoff;

433:     PetscSectionGetDof(section, p, &dof);
434:     PetscSectionGetConstraintDof(section, p, &cdof);
435:     PetscSectionGetOffset(section, p, &off);
436:     if (!dof) continue;
437:     PetscSectionGetDof(rootSectionAdj, off, &adof);
438:     if (adof <= 0) continue;
439:     for (d = off; d < off+dof-cdof; ++d) {
440:       PetscSectionGetDof(rootSectionAdj, d, &adof);
441:       PetscSectionGetOffset(rootSectionAdj, d, &aoff);
442:       PetscSortRemoveDupsInt(&adof, &rootAdj[aoff]);
443:       PetscSectionSetDof(rootSectionAdj, d, adof);
444:     }
445:   }
446:   /* Debugging */
447:   if (debug) {
448:     IS tmp;
449:     PetscPrintf(comm, "Adjancency Section for Preallocation on Roots after compression:\n");
450:     PetscSectionView(rootSectionAdj, PETSC_VIEWER_STDOUT_WORLD);
451:     PetscPrintf(comm, "Root adjacency indices after compression\n");
452:     ISCreateGeneral(comm, adjSize, rootAdj, PETSC_USE_POINTER, &tmp);
453:     ISView(tmp, NULL);
454:     ISDestroy(&tmp);
455:   }
456:   /* Build adjacency section: Maps global indices to sets of adjacent global indices */
457:   PetscSectionGetOffsetRange(sectionGlobal, &globalOffStart, &globalOffEnd);
458:   PetscSectionCreate(comm, &sectionAdj);
459:   PetscSectionSetChart(sectionAdj, globalOffStart, globalOffEnd);
460:   for (p = pStart; p < pEnd; ++p) {
461:     PetscInt  numAdj = PETSC_DETERMINE, dof, cdof, off, goff, d, q, anDof;
462:     PetscBool found  = PETSC_TRUE;

464:     PetscSectionGetDof(section, p, &dof);
465:     PetscSectionGetConstraintDof(section, p, &cdof);
466:     PetscSectionGetOffset(section, p, &off);
467:     PetscSectionGetOffset(sectionGlobal, p, &goff);
468:     for (d = 0; d < dof-cdof; ++d) {
469:       PetscInt ldof, rdof;

471:       PetscSectionGetDof(leafSectionAdj, off+d, &ldof);
472:       PetscSectionGetDof(rootSectionAdj, off+d, &rdof);
473:       if (ldof > 0) {
474:         /* We do not own this point */
475:       } else if (rdof > 0) {
476:         PetscSectionSetDof(sectionAdj, goff+d, rdof);
477:       } else {
478:         found = PETSC_FALSE;
479:       }
480:     }
481:     if (found) continue;
482:     PetscSectionGetDof(section, p, &dof);
483:     PetscSectionGetOffset(sectionGlobal, p, &goff);
484:     DMPlexGetAdjacency_Internal(dm, p, useCone, useClosure, useAnchors, &numAdj, &tmpAdj);
485:     for (q = 0; q < numAdj; ++q) {
486:       const PetscInt padj = tmpAdj[q];
487:       PetscInt ndof, ncdof, noff;

489:       if ((padj < pStart) || (padj >= pEnd)) continue;
490:       PetscSectionGetDof(section, padj, &ndof);
491:       PetscSectionGetConstraintDof(section, padj, &ncdof);
492:       PetscSectionGetOffset(section, padj, &noff);
493:       for (d = goff; d < goff+dof-cdof; ++d) {
494:         PetscSectionAddDof(sectionAdj, d, ndof-ncdof);
495:       }
496:     }
497:     PetscSectionGetDof(anchorSectionAdj, p, &anDof);
498:     if (anDof) {
499:       for (d = goff; d < goff+dof-cdof; ++d) {
500:         PetscSectionAddDof(sectionAdj, d, anDof);
501:       }
502:     }
503:   }
504:   PetscSectionSetUp(sectionAdj);
505:   if (debug) {
506:     PetscPrintf(comm, "Adjacency Section for Preallocation:\n");
507:     PetscSectionView(sectionAdj, PETSC_VIEWER_STDOUT_WORLD);
508:   }
509:   /* Get adjacent indices */
510:   PetscSectionGetStorageSize(sectionAdj, &numCols);
511:   PetscMalloc1(numCols, &cols);
512:   for (p = pStart; p < pEnd; ++p) {
513:     PetscInt  numAdj = PETSC_DETERMINE, dof, cdof, off, goff, d, q, anDof, anOff;
514:     PetscBool found  = PETSC_TRUE;

516:     PetscSectionGetDof(section, p, &dof);
517:     PetscSectionGetConstraintDof(section, p, &cdof);
518:     PetscSectionGetOffset(section, p, &off);
519:     PetscSectionGetOffset(sectionGlobal, p, &goff);
520:     for (d = 0; d < dof-cdof; ++d) {
521:       PetscInt ldof, rdof;

523:       PetscSectionGetDof(leafSectionAdj, off+d, &ldof);
524:       PetscSectionGetDof(rootSectionAdj, off+d, &rdof);
525:       if (ldof > 0) {
526:         /* We do not own this point */
527:       } else if (rdof > 0) {
528:         PetscInt aoff, roff;

530:         PetscSectionGetOffset(sectionAdj, goff+d, &aoff);
531:         PetscSectionGetOffset(rootSectionAdj, off+d, &roff);
532:         PetscMemcpy(&cols[aoff], &rootAdj[roff], rdof * sizeof(PetscInt));
533:       } else {
534:         found = PETSC_FALSE;
535:       }
536:     }
537:     if (found) continue;
538:     DMPlexGetAdjacency_Internal(dm, p, useCone, useClosure, useAnchors, &numAdj, &tmpAdj);
539:     PetscSectionGetDof(anchorSectionAdj, p, &anDof);
540:     PetscSectionGetOffset(anchorSectionAdj, p, &anOff);
541:     for (d = goff; d < goff+dof-cdof; ++d) {
542:       PetscInt adof, aoff, i = 0;

544:       PetscSectionGetDof(sectionAdj, d, &adof);
545:       PetscSectionGetOffset(sectionAdj, d, &aoff);
546:       for (q = 0; q < numAdj; ++q) {
547:         const PetscInt  padj = tmpAdj[q];
548:         PetscInt        ndof, ncdof, ngoff, nd;
549:         const PetscInt *ncind;

551:         /* Adjacent points may not be in the section chart */
552:         if ((padj < pStart) || (padj >= pEnd)) continue;
553:         PetscSectionGetDof(section, padj, &ndof);
554:         PetscSectionGetConstraintDof(section, padj, &ncdof);
555:         PetscSectionGetConstraintIndices(section, padj, &ncind);
556:         PetscSectionGetOffset(sectionGlobal, padj, &ngoff);
557:         for (nd = 0; nd < ndof-ncdof; ++nd, ++i) {
558:           cols[aoff+i] = ngoff < 0 ? -(ngoff+1)+nd : ngoff+nd;
559:         }
560:       }
561:       for (q = 0; q < anDof; q++, i++) {
562:         cols[aoff+i] = anchorAdj[anOff + q];
563:       }
564:       if (i != adof) SETERRQ4(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid number of entries %D != %D for dof %D (point %D)", i, adof, d, p);
565:     }
566:   }
567:   PetscSectionDestroy(&anchorSectionAdj);
568:   PetscSectionDestroy(&leafSectionAdj);
569:   PetscSectionDestroy(&rootSectionAdj);
570:   PetscFree(anchorAdj);
571:   PetscFree(rootAdj);
572:   PetscFree(tmpAdj);
573:   /* Debugging */
574:   if (debug) {
575:     IS tmp;
576:     PetscPrintf(comm, "Column indices\n");
577:     ISCreateGeneral(comm, numCols, cols, PETSC_USE_POINTER, &tmp);
578:     ISView(tmp, NULL);
579:     ISDestroy(&tmp);
580:   }

582:   *sA     = sectionAdj;
583:   *colIdx = cols;
584:   return(0);
585: }

589: PetscErrorCode DMPlexUpdateAllocation_Static(DM dm, PetscLayout rLayout, PetscInt bs, PetscInt f, PetscSection sectionAdj, const PetscInt cols[], PetscInt dnz[], PetscInt onz[], PetscInt dnzu[], PetscInt onzu[])
590: {
591:   PetscSection   section;
592:   PetscInt       rStart, rEnd, r, pStart, pEnd, p;

596:   /* This loop needs to change to a loop over points, then field dofs, which means we need to look both sections */
597:   PetscLayoutGetRange(rLayout, &rStart, &rEnd);
598:   if (rStart%bs || rEnd%bs) SETERRQ3(PetscObjectComm((PetscObject) rLayout), PETSC_ERR_ARG_WRONG, "Invalid layout [%d, %d) for matrix, must be divisible by block size %d", rStart, rEnd, bs);
599:   if (f >= 0 && bs == 1) {
600:     DMGetDefaultSection(dm, &section);
601:     PetscSectionGetChart(section, &pStart, &pEnd);
602:     for (p = pStart; p < pEnd; ++p) {
603:       PetscInt rS, rE;

605:       DMPlexGetGlobalFieldOffset_Private(dm, p, f, &rS, &rE);
606:       for (r = rS; r < rE; ++r) {
607:         PetscInt numCols, cStart, c;

609:         PetscSectionGetDof(sectionAdj, r, &numCols);
610:         PetscSectionGetOffset(sectionAdj, r, &cStart);
611:         for (c = cStart; c < cStart+numCols; ++c) {
612:           if ((cols[c] >= rStart) && (cols[c] < rEnd)) {
613:             ++dnz[r-rStart];
614:             if (cols[c] >= r) ++dnzu[r-rStart];
615:           } else {
616:             ++onz[r-rStart];
617:             if (cols[c] >= r) ++onzu[r-rStart];
618:           }
619:         }
620:       }
621:     }
622:   } else {
623:     /* Only loop over blocks of rows */
624:     for (r = rStart/bs; r < rEnd/bs; ++r) {
625:       const PetscInt row = r*bs;
626:       PetscInt       numCols, cStart, c;

628:       PetscSectionGetDof(sectionAdj, row, &numCols);
629:       PetscSectionGetOffset(sectionAdj, row, &cStart);
630:       for (c = cStart; c < cStart+numCols; ++c) {
631:         if ((cols[c] >= rStart*bs) && (cols[c] < rEnd*bs)) {
632:           ++dnz[r-rStart];
633:           if (cols[c] >= row) ++dnzu[r-rStart];
634:         } else {
635:           ++onz[r-rStart];
636:           if (cols[c] >= row) ++onzu[r-rStart];
637:         }
638:       }
639:     }
640:     for (r = 0; r < (rEnd - rStart)/bs; ++r) {
641:       dnz[r]  /= bs;
642:       onz[r]  /= bs;
643:       dnzu[r] /= bs;
644:       onzu[r] /= bs;
645:     }
646:   }
647:   return(0);
648: }

652: PetscErrorCode DMPlexFillMatrix_Static(DM dm, PetscLayout rLayout, PetscInt bs, PetscInt f, PetscSection sectionAdj, const PetscInt cols[], Mat A)
653: {
654:   PetscSection   section;
655:   PetscScalar   *values;
656:   PetscInt       rStart, rEnd, r, pStart, pEnd, p, len, maxRowLen = 0;

660:   PetscLayoutGetRange(rLayout, &rStart, &rEnd);
661:   for (r = rStart; r < rEnd; ++r) {
662:     PetscSectionGetDof(sectionAdj, r, &len);
663:     maxRowLen = PetscMax(maxRowLen, len);
664:   }
665:   PetscCalloc1(maxRowLen, &values);
666:   if (f >=0 && bs == 1) {
667:     DMGetDefaultSection(dm, &section);
668:     PetscSectionGetChart(section, &pStart, &pEnd);
669:     for (p = pStart; p < pEnd; ++p) {
670:       PetscInt rS, rE;

672:       DMPlexGetGlobalFieldOffset_Private(dm, p, f, &rS, &rE);
673:       for (r = rS; r < rE; ++r) {
674:         PetscInt numCols, cStart;

676:         PetscSectionGetDof(sectionAdj, r, &numCols);
677:         PetscSectionGetOffset(sectionAdj, r, &cStart);
678:         MatSetValues(A, 1, &r, numCols, &cols[cStart], values, INSERT_VALUES);
679:       }
680:     }
681:   } else {
682:     for (r = rStart; r < rEnd; ++r) {
683:       PetscInt numCols, cStart;

685:       PetscSectionGetDof(sectionAdj, r, &numCols);
686:       PetscSectionGetOffset(sectionAdj, r, &cStart);
687:       MatSetValues(A, 1, &r, numCols, &cols[cStart], values, INSERT_VALUES);
688:     }
689:   }
690:   PetscFree(values);
691:   return(0);
692: }

696: PetscErrorCode DMPlexPreallocateOperator(DM dm, PetscInt bs, PetscInt dnz[], PetscInt onz[], PetscInt dnzu[], PetscInt onzu[], Mat A, PetscBool fillMatrix)
697: {
698:   MPI_Comm       comm;
699:   PetscDS        prob;
700:   MatType        mtype;
701:   PetscSF        sf, sfDof;
702:   PetscSection   section;
703:   PetscInt      *remoteOffsets;
704:   PetscSection   sectionAdj[4] = {NULL, NULL, NULL, NULL};
705:   PetscInt      *cols[4]       = {NULL, NULL, NULL, NULL};
706:   PetscBool      useCone, useClosure;
707:   PetscInt       Nf, f, idx, locRows;
708:   PetscLayout    rLayout;
709:   PetscBool      isSymBlock, isSymSeqBlock, isSymMPIBlock, debug = PETSC_FALSE;

717:   DMGetDS(dm, &prob);
718:   DMGetPointSF(dm, &sf);
719:   DMGetDefaultSection(dm, &section);
720:   PetscOptionsGetBool(NULL, "-dm_view_preallocation", &debug, NULL);
721:   PetscObjectGetComm((PetscObject) dm, &comm);
722:   PetscLogEventBegin(DMPLEX_Preallocate,dm,0,0,0);
723:   /* Create dof SF based on point SF */
724:   if (debug) {
725:     PetscSection section, sectionGlobal;
726:     PetscSF      sf;

728:     DMGetPointSF(dm, &sf);
729:     DMGetDefaultSection(dm, &section);
730:     DMGetDefaultGlobalSection(dm, &sectionGlobal);
731:     PetscPrintf(comm, "Input Section for Preallocation:\n");
732:     PetscSectionView(section, PETSC_VIEWER_STDOUT_WORLD);
733:     PetscPrintf(comm, "Input Global Section for Preallocation:\n");
734:     PetscSectionView(sectionGlobal, PETSC_VIEWER_STDOUT_WORLD);
735:     PetscPrintf(comm, "Input SF for Preallocation:\n");
736:     PetscSFView(sf, NULL);
737:   }
738:   PetscSFCreateRemoteOffsets(sf, section, section, &remoteOffsets);
739:   PetscSFCreateSectionSF(sf, section, remoteOffsets, section, &sfDof);
740:   if (debug) {
741:     PetscPrintf(comm, "Dof SF for Preallocation:\n");
742:     PetscSFView(sfDof, NULL);
743:   }
744:   /* Create allocation vectors from adjacency graph */
745:   MatGetLocalSize(A, &locRows, NULL);
746:   PetscLayoutCreate(comm, &rLayout);
747:   PetscLayoutSetLocalSize(rLayout, locRows);
748:   PetscLayoutSetBlockSize(rLayout, 1);
749:   PetscLayoutSetUp(rLayout);
750:   /* There are 4 types of adjacency */
751:   PetscSectionGetNumFields(section, &Nf);
752:   if (Nf < 1 || bs > 1) {
753:     DMPlexGetAdjacencyUseCone(dm, &useCone);
754:     DMPlexGetAdjacencyUseClosure(dm, &useClosure);
755:     idx  = (useCone ? 1 : 0) + (useClosure ? 2 : 0);
756:     DMPlexCreateAdjacencySection_Static(dm, bs, sfDof, useCone, useClosure, PETSC_TRUE, &sectionAdj[idx], &cols[idx]);
757:     DMPlexUpdateAllocation_Static(dm, rLayout, bs, -1, sectionAdj[idx], cols[idx], dnz, onz, dnzu, onzu);
758:   } else {
759:     for (f = 0; f < Nf; ++f) {
760:       PetscDSGetAdjacency(prob, f, &useCone, &useClosure);
761:       idx  = (useCone ? 1 : 0) + (useClosure ? 2 : 0);
762:       if (!sectionAdj[idx]) {DMPlexCreateAdjacencySection_Static(dm, bs, sfDof, useCone, useClosure, PETSC_TRUE, &sectionAdj[idx], &cols[idx]);}
763:       DMPlexUpdateAllocation_Static(dm, rLayout, bs, f, sectionAdj[idx], cols[idx], dnz, onz, dnzu, onzu);
764:     }
765:   }
766:   PetscSFDestroy(&sfDof);
767:   /* Set matrix pattern */
768:   MatXAIJSetPreallocation(A, bs, dnz, onz, dnzu, onzu);
769:   MatSetOption(A, MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE);
770:   /* Check for symmetric storage */
771:   MatGetType(A, &mtype);
772:   PetscStrcmp(mtype, MATSBAIJ, &isSymBlock);
773:   PetscStrcmp(mtype, MATSEQSBAIJ, &isSymSeqBlock);
774:   PetscStrcmp(mtype, MATMPISBAIJ, &isSymMPIBlock);
775:   if (isSymBlock || isSymSeqBlock || isSymMPIBlock) {MatSetOption(A, MAT_IGNORE_LOWER_TRIANGULAR, PETSC_TRUE);}
776:   /* Fill matrix with zeros */
777:   if (fillMatrix) {
778:     if (Nf < 1 || bs > 1) {
779:       DMPlexGetAdjacencyUseCone(dm, &useCone);
780:       DMPlexGetAdjacencyUseClosure(dm, &useClosure);
781:       idx  = (useCone ? 1 : 0) + (useClosure ? 2 : 0);
782:       DMPlexFillMatrix_Static(dm, rLayout, bs, -1, sectionAdj[idx], cols[idx], A);
783:     } else {
784:       for (f = 0; f < Nf; ++f) {
785:         PetscDSGetAdjacency(prob, f, &useCone, &useClosure);
786:         idx  = (useCone ? 1 : 0) + (useClosure ? 2 : 0);
787:         DMPlexFillMatrix_Static(dm, rLayout, bs, f, sectionAdj[idx], cols[idx], A);
788:       }
789:     }
790:     MatAssemblyBegin(A, MAT_FINAL_ASSEMBLY);
791:     MatAssemblyEnd(A, MAT_FINAL_ASSEMBLY);
792:   }
793:   PetscLayoutDestroy(&rLayout);
794:   for (idx = 0; idx < 4; ++idx) {PetscSectionDestroy(&sectionAdj[idx]); PetscFree(cols[idx]);}
795:   PetscLogEventEnd(DMPLEX_Preallocate,dm,0,0,0);
796:   return(0);
797: }

799: #if 0
802: PetscErrorCode DMPlexPreallocateOperator_2(DM dm, PetscInt bs, PetscSection section, PetscSection sectionGlobal, PetscInt dnz[], PetscInt onz[], PetscInt dnzu[], PetscInt onzu[], Mat A, PetscBool fillMatrix)
803: {
804:   PetscInt       *tmpClosure,*tmpAdj,*visits;
805:   PetscInt        c,cStart,cEnd,pStart,pEnd;
806:   PetscErrorCode  ierr;

809:   DMGetDimension(dm, &dim);
810:   DMPlexGetDepth(dm, &depth);
811:   DMPlexGetMaxSizes(dm, &maxConeSize, &maxSupportSize);

813:   maxClosureSize = 2*PetscMax(PetscPowInt(mesh->maxConeSize,depth+1),PetscPowInt(mesh->maxSupportSize,depth+1));

815:   PetscSectionGetChart(section, &pStart, &pEnd);
816:   npoints = pEnd - pStart;

818:   PetscMalloc3(maxClosureSize,&tmpClosure,npoints,&lvisits,npoints,&visits);
819:   PetscMemzero(lvisits,(pEnd-pStart)*sizeof(PetscInt));
820:   PetscMemzero(visits,(pEnd-pStart)*sizeof(PetscInt));
821:   DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);
822:   for (c=cStart; c<cEnd; c++) {
823:     PetscInt *support = tmpClosure;
824:     DMPlexGetTransitiveClosure(dm, c, PETSC_FALSE, &supportSize, (PetscInt**)&support);
825:     for (p=0; p<supportSize; p++) lvisits[support[p]]++;
826:   }
827:   PetscSFReduceBegin(sf,MPIU_INT,lvisits,visits,MPI_SUM);
828:   PetscSFReduceEnd  (sf,MPIU_INT,lvisits,visits,MPI_SUM);
829:   PetscSFBcastBegin(sf,MPIU_INT,visits,lvisits);
830:   PetscSFBcastEnd  (sf,MPIU_INT,visits,lvisits);

832:   PetscSFGetRanks();


835:   PetscMalloc2(maxClosureSize*maxClosureSize,&cellmat,npoints,&owner);
836:   for (c=cStart; c<cEnd; c++) {
837:     PetscMemzero(cellmat,maxClosureSize*maxClosureSize*sizeof(PetscInt));
838:     /*
839:      Depth-first walk of transitive closure.
840:      At each leaf frame f of transitive closure that we see, add 1/visits[f] to each pair (p,q) not marked as done in cellmat.
841:      This contribution is added to dnz if owning ranks of p and q match, to onz otherwise.
842:      */
843:   }

845:   PetscSFReduceBegin(sf,MPIU_INT,ldnz,dnz,MPI_SUM);
846:   PetscSFReduceEnd  (sf,MPIU_INT,lonz,onz,MPI_SUM);
847:   return(0);
848: }
849: #endif