Actual source code: dmi.c

  1: #include <petsc/private/dmimpl.h>
  2: #include <petscds.h>

  4: // Greatest common divisor of two nonnegative integers
  5: PetscInt PetscGCD(PetscInt a, PetscInt b)
  6: {
  7:   while (b != 0) {
  8:     PetscInt tmp = b;
  9:     b            = a % b;
 10:     a            = tmp;
 11:   }
 12:   return a;
 13: }

 15: PetscErrorCode DMCreateGlobalVector_Section_Private(DM dm, Vec *vec)
 16: {
 17:   PetscSection gSection;
 18:   PetscInt     localSize, bs, blockSize = -1, pStart, pEnd, p;
 19:   PetscInt     in[2], out[2];

 21:   PetscFunctionBegin;
 22:   PetscCall(DMGetGlobalSection(dm, &gSection));
 23:   PetscCall(PetscSectionGetChart(gSection, &pStart, &pEnd));
 24:   for (p = pStart; p < pEnd; ++p) {
 25:     PetscInt dof, cdof;

 27:     PetscCall(PetscSectionGetDof(gSection, p, &dof));
 28:     PetscCall(PetscSectionGetConstraintDof(gSection, p, &cdof));

 30:     if (dof - cdof > 0) {
 31:       if (blockSize < 0) {
 32:         /* set blockSize */
 33:         blockSize = dof - cdof;
 34:       } else {
 35:         blockSize = PetscGCD(dof - cdof, blockSize);
 36:       }
 37:     }
 38:   }

 40:   in[0] = blockSize < 0 ? PETSC_MIN_INT : -blockSize;
 41:   in[1] = blockSize;
 42:   PetscCall(MPIU_Allreduce(in, out, 2, MPIU_INT, MPI_MAX, PetscObjectComm((PetscObject)dm)));
 43:   /* -out[0] = min(blockSize), out[1] = max(blockSize) */
 44:   if (-out[0] == out[1]) {
 45:     bs = out[1];
 46:   } else bs = 1;

 48:   if (bs < 0) { /* Everyone was empty */
 49:     blockSize = 1;
 50:     bs        = 1;
 51:   }

 53:   PetscCall(PetscSectionGetConstrainedStorageSize(gSection, &localSize));
 54:   PetscCheck(localSize % blockSize == 0, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Mismatch between blocksize %" PetscInt_FMT " and local storage size %" PetscInt_FMT, blockSize, localSize);
 55:   PetscCall(VecCreate(PetscObjectComm((PetscObject)dm), vec));
 56:   PetscCall(VecSetSizes(*vec, localSize, PETSC_DETERMINE));
 57:   PetscCall(VecSetBlockSize(*vec, bs));
 58:   PetscCall(VecSetType(*vec, dm->vectype));
 59:   PetscCall(VecSetDM(*vec, dm));
 60:   /* PetscCall(VecSetLocalToGlobalMapping(*vec, dm->ltogmap)); */
 61:   PetscFunctionReturn(PETSC_SUCCESS);
 62: }

 64: PetscErrorCode DMCreateLocalVector_Section_Private(DM dm, Vec *vec)
 65: {
 66:   PetscSection section;
 67:   PetscInt     localSize, blockSize = -1, pStart, pEnd, p;

 69:   PetscFunctionBegin;
 70:   PetscCall(DMGetLocalSection(dm, &section));
 71:   PetscCall(PetscSectionGetChart(section, &pStart, &pEnd));
 72:   for (p = pStart; p < pEnd; ++p) {
 73:     PetscInt dof;

 75:     PetscCall(PetscSectionGetDof(section, p, &dof));
 76:     if ((blockSize < 0) && (dof > 0)) blockSize = dof;
 77:     if (dof > 0) blockSize = PetscGCD(dof, blockSize);
 78:   }
 79:   PetscCall(PetscSectionGetStorageSize(section, &localSize));
 80:   PetscCall(VecCreate(PETSC_COMM_SELF, vec));
 81:   PetscCall(VecSetSizes(*vec, localSize, localSize));
 82:   PetscCall(VecSetBlockSize(*vec, blockSize));
 83:   PetscCall(VecSetType(*vec, dm->vectype));
 84:   PetscCall(VecSetDM(*vec, dm));
 85:   PetscFunctionReturn(PETSC_SUCCESS);
 86: }

 88: static PetscErrorCode PetscSectionSelectFields_Private(PetscSection s, PetscSection gs, PetscInt numFields, const PetscInt fields[], const PetscInt numComps[], const PetscInt comps[], IS *is)
 89: {
 90:   PetscInt *subIndices;
 91:   PetscInt  bs = 0, bsLocal[2], bsMinMax[2];
 92:   PetscInt  pStart, pEnd, Nc, subSize = 0, subOff = 0;

 94:   PetscFunctionBegin;
 95:   PetscCall(PetscSectionGetChart(gs, &pStart, &pEnd));
 96:   if (numComps) {
 97:     for (PetscInt f = 0, off = 0; f < numFields; ++f) {
 98:       PetscInt Nc;

100:       if (numComps[f] < 0) continue;
101:       PetscCall(PetscSectionGetFieldComponents(s, f, &Nc));
102:       PetscCheck(numComps[f] <= Nc, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Field %" PetscInt_FMT ": Number of selected components %" PetscInt_FMT " > %" PetscInt_FMT " number of field components", f, numComps[f], Nc);
103:       for (PetscInt c = 0; c < numComps[f]; ++c, ++off) PetscCheck(comps[off] < Nc, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Field %" PetscInt_FMT ": component %" PetscInt_FMT " not in [0, %" PetscInt_FMT ")", f, comps[off], Nc);
104:       bs += numComps[f];
105:     }
106:   } else {
107:     for (PetscInt f = 0; f < numFields; ++f) {
108:       PetscInt Nc;

110:       PetscCall(PetscSectionGetFieldComponents(s, fields[f], &Nc));
111:       bs += Nc;
112:     }
113:   }
114:   for (PetscInt p = pStart; p < pEnd; ++p) {
115:     PetscInt gdof, pSubSize = 0;

117:     PetscCall(PetscSectionGetDof(gs, p, &gdof));
118:     if (gdof > 0) {
119:       PetscInt off = 0;

121:       for (PetscInt f = 0; f < numFields; ++f) {
122:         PetscInt fdof, fcdof, sfdof, sfcdof = 0;

124:         PetscCall(PetscSectionGetFieldComponents(s, f, &Nc));
125:         PetscCall(PetscSectionGetFieldDof(s, p, fields[f], &fdof));
126:         PetscCall(PetscSectionGetFieldConstraintDof(s, p, fields[f], &fcdof));
127:         if (numComps && numComps[f] >= 0) {
128:           const PetscInt *ind;

130:           // Assume sets of dofs on points are of size Nc
131:           PetscCheck(!(fdof % Nc), PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of components %" PetscInt_FMT " should evenly divide the dofs %" PetscInt_FMT " on point %" PetscInt_FMT, Nc, fdof, p);
132:           sfdof = (fdof / Nc) * numComps[f];
133:           PetscCall(PetscSectionGetFieldConstraintIndices(s, p, fields[f], &ind));
134:           for (PetscInt i = 0; i < (fdof / Nc); ++i) {
135:             for (PetscInt c = 0, fcc = 0; c < Nc; ++c) {
136:               if (c == comps[off + fcc]) {
137:                 ++fcc;
138:                 ++sfcdof;
139:               }
140:             }
141:           }
142:           pSubSize += sfdof - sfcdof;
143:           off += numComps[f];
144:         } else {
145:           pSubSize += fdof - fcdof;
146:         }
147:       }
148:       subSize += pSubSize;
149:       if (pSubSize && bs != pSubSize) {
150:         // Layout does not admit a pointwise block size
151:         bs = 1;
152:       }
153:     }
154:   }
155:   // Must have same blocksize on all procs (some might have no points)
156:   bsLocal[0] = bs < 0 ? PETSC_MAX_INT : bs;
157:   bsLocal[1] = bs;
158:   PetscCall(PetscGlobalMinMaxInt(PetscObjectComm((PetscObject)gs), bsLocal, bsMinMax));
159:   if (bsMinMax[0] != bsMinMax[1]) {
160:     bs = 1;
161:   } else {
162:     bs = bsMinMax[0];
163:   }
164:   PetscCall(PetscMalloc1(subSize, &subIndices));
165:   for (PetscInt p = pStart; p < pEnd; ++p) {
166:     PetscInt gdof, goff;

168:     PetscCall(PetscSectionGetDof(gs, p, &gdof));
169:     if (gdof > 0) {
170:       PetscInt off = 0;

172:       PetscCall(PetscSectionGetOffset(gs, p, &goff));
173:       for (PetscInt f = 0; f < numFields; ++f) {
174:         PetscInt fdof, fcdof, poff = 0;

176:         /* Can get rid of this loop by storing field information in the global section */
177:         for (PetscInt f2 = 0; f2 < fields[f]; ++f2) {
178:           PetscCall(PetscSectionGetFieldDof(s, p, f2, &fdof));
179:           PetscCall(PetscSectionGetFieldConstraintDof(s, p, f2, &fcdof));
180:           poff += fdof - fcdof;
181:         }
182:         PetscCall(PetscSectionGetFieldDof(s, p, fields[f], &fdof));
183:         PetscCall(PetscSectionGetFieldConstraintDof(s, p, fields[f], &fcdof));

185:         if (numComps && numComps[f] >= 0) {
186:           const PetscInt *ind;

188:           // Assume sets of dofs on points are of size Nc
189:           PetscCall(PetscSectionGetFieldConstraintIndices(s, p, fields[f], &ind));
190:           for (PetscInt i = 0, fcoff = 0, pfoff = 0; i < (fdof / Nc); ++i) {
191:             for (PetscInt c = 0, fcc = 0; c < Nc; ++c) {
192:               const PetscInt k = i * Nc + c;

194:               if (ind[fcoff] == k) {
195:                 ++fcoff;
196:                 continue;
197:               }
198:               if (c == comps[off + fcc]) {
199:                 ++fcc;
200:                 subIndices[subOff++] = goff + poff + pfoff;
201:               }
202:               ++pfoff;
203:             }
204:           }
205:           off += numComps[f];
206:         } else {
207:           for (PetscInt fc = 0; fc < fdof - fcdof; ++fc, ++subOff) subIndices[subOff] = goff + poff + fc;
208:         }
209:       }
210:     }
211:   }
212:   PetscCheck(subSize == subOff, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "The offset array size %" PetscInt_FMT " != %" PetscInt_FMT " the number of indices", subSize, subOff);
213:   PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)gs), subSize, subIndices, PETSC_OWN_POINTER, is));
214:   if (bs > 1) {
215:     // We need to check that the block size does not come from non-contiguous fields
216:     PetscInt set = 1, rset = 1;
217:     for (PetscInt i = 0; i < subSize; i += bs) {
218:       for (PetscInt j = 0; j < bs; ++j) {
219:         if (subIndices[i + j] != subIndices[i] + j) {
220:           set = 0;
221:           break;
222:         }
223:       }
224:     }
225:     PetscCall(MPIU_Allreduce(&set, &rset, 1, MPIU_INT, MPI_PROD, PetscObjectComm((PetscObject)gs)));
226:     if (rset) PetscCall(ISSetBlockSize(*is, bs));
227:   }
228:   PetscFunctionReturn(PETSC_SUCCESS);
229: }

231: static PetscErrorCode DMSelectFields_Private(DM dm, PetscSection section, PetscInt numFields, const PetscInt fields[], const PetscInt numComps[], const PetscInt comps[], IS *is, DM *subdm)
232: {
233:   PetscSection subsection;
234:   PetscBool    haveNull = PETSC_FALSE;
235:   PetscInt     nf = 0, of = 0;

237:   PetscFunctionBegin;
238:   if (numComps) {
239:     const PetscInt field = fields[0];

241:     PetscCheck(numFields == 1, PETSC_COMM_SELF, PETSC_ERR_SUP, "We only support a single field for component selection right now");
242:     PetscCall(PetscSectionCreateComponentSubsection(section, numComps[field], comps, &subsection));
243:     PetscCall(DMSetLocalSection(*subdm, subsection));
244:     PetscCall(PetscSectionDestroy(&subsection));
245:     (*subdm)->nullspaceConstructors[field] = dm->nullspaceConstructors[field];
246:     if (dm->probs) {
247:       PetscFV  fv, fvNew;
248:       PetscInt fnum[1] = {field};

250:       PetscCall(DMSetNumFields(*subdm, 1));
251:       PetscCall(DMGetField(dm, field, NULL, (PetscObject *)&fv));
252:       PetscCall(PetscFVClone(fv, &fvNew));
253:       PetscCall(PetscFVSetNumComponents(fvNew, numComps[0]));
254:       PetscCall(DMSetField(*subdm, 0, NULL, (PetscObject)fvNew));
255:       PetscCall(PetscFVDestroy(&fvNew));
256:       PetscCall(DMCreateDS(*subdm));
257:       if (numComps[0] == 1 && is) {
258:         PetscObject disc, space, pmat;

260:         PetscCall(DMGetField(*subdm, field, NULL, &disc));
261:         PetscCall(PetscObjectQuery(disc, "nullspace", &space));
262:         if (space) PetscCall(PetscObjectCompose((PetscObject)*is, "nullspace", space));
263:         PetscCall(PetscObjectQuery(disc, "nearnullspace", &space));
264:         if (space) PetscCall(PetscObjectCompose((PetscObject)*is, "nearnullspace", space));
265:         PetscCall(PetscObjectQuery(disc, "pmat", &pmat));
266:         if (pmat) PetscCall(PetscObjectCompose((PetscObject)*is, "pmat", pmat));
267:       }
268:       PetscCall(PetscDSCopyConstants(dm->probs[field].ds, (*subdm)->probs[0].ds));
269:       PetscCall(PetscDSCopyBoundary(dm->probs[field].ds, 1, fnum, (*subdm)->probs[0].ds));
270:       PetscCall(PetscDSSelectEquations(dm->probs[field].ds, 1, fnum, (*subdm)->probs[0].ds));
271:     }
272:     if ((*subdm)->nullspaceConstructors[0] && is) {
273:       MatNullSpace nullSpace;

275:       PetscCall((*(*subdm)->nullspaceConstructors[0])(*subdm, 0, 0, &nullSpace));
276:       PetscCall(PetscObjectCompose((PetscObject)*is, "nullspace", (PetscObject)nullSpace));
277:       PetscCall(MatNullSpaceDestroy(&nullSpace));
278:     }
279:     if (dm->coarseMesh) PetscCall(DMCreateSubDM(dm->coarseMesh, numFields, fields, NULL, &(*subdm)->coarseMesh));
280:     PetscFunctionReturn(PETSC_SUCCESS);
281:   }
282:   PetscCall(PetscSectionCreateSubsection(section, numFields, fields, &subsection));
283:   PetscCall(DMSetLocalSection(*subdm, subsection));
284:   PetscCall(PetscSectionDestroy(&subsection));
285:   for (PetscInt f = 0; f < numFields; ++f) {
286:     (*subdm)->nullspaceConstructors[f] = dm->nullspaceConstructors[fields[f]];
287:     if ((*subdm)->nullspaceConstructors[f]) {
288:       haveNull = PETSC_TRUE;
289:       nf       = f;
290:       of       = fields[f];
291:     }
292:   }
293:   if (dm->probs) {
294:     PetscCall(DMSetNumFields(*subdm, numFields));
295:     for (PetscInt f = 0; f < numFields; ++f) {
296:       PetscObject disc;

298:       PetscCall(DMGetField(dm, fields[f], NULL, &disc));
299:       PetscCall(DMSetField(*subdm, f, NULL, disc));
300:     }
301:     // TODO: if only FV, then cut down the components
302:     PetscCall(DMCreateDS(*subdm));
303:     if (numFields == 1 && is) {
304:       PetscObject disc, space, pmat;

306:       PetscCall(DMGetField(*subdm, 0, NULL, &disc));
307:       PetscCall(PetscObjectQuery(disc, "nullspace", &space));
308:       if (space) PetscCall(PetscObjectCompose((PetscObject)*is, "nullspace", space));
309:       PetscCall(PetscObjectQuery(disc, "nearnullspace", &space));
310:       if (space) PetscCall(PetscObjectCompose((PetscObject)*is, "nearnullspace", space));
311:       PetscCall(PetscObjectQuery(disc, "pmat", &pmat));
312:       if (pmat) PetscCall(PetscObjectCompose((PetscObject)*is, "pmat", pmat));
313:     }
314:     // Check if DSes record their DM fields
315:     if (dm->probs[0].fields) {
316:       PetscInt d, e;

318:       for (d = 0, e = 0; d < dm->Nds && e < (*subdm)->Nds; ++d) {
319:         const PetscInt  Nf = dm->probs[d].ds->Nf;
320:         const PetscInt *fld;
321:         PetscInt        f, g;

323:         PetscCall(ISGetIndices(dm->probs[d].fields, &fld));
324:         for (f = 0; f < Nf; ++f) {
325:           for (g = 0; g < numFields; ++g)
326:             if (fld[f] == fields[g]) break;
327:           if (g < numFields) break;
328:         }
329:         PetscCall(ISRestoreIndices(dm->probs[d].fields, &fld));
330:         if (f == Nf) continue;
331:         PetscCall(PetscDSCopyConstants(dm->probs[d].ds, (*subdm)->probs[e].ds));
332:         PetscCall(PetscDSCopyBoundary(dm->probs[d].ds, numFields, fields, (*subdm)->probs[e].ds));
333:         // Translate DM fields to DS fields
334:         {
335:           IS              infields, dsfields;
336:           const PetscInt *fld, *ofld;
337:           PetscInt       *fidx;
338:           PetscInt        onf, nf;

340:           PetscCall(ISCreateGeneral(PETSC_COMM_SELF, numFields, fields, PETSC_USE_POINTER, &infields));
341:           PetscCall(ISIntersect(infields, dm->probs[d].fields, &dsfields));
342:           PetscCall(ISDestroy(&infields));
343:           PetscCall(ISGetLocalSize(dsfields, &nf));
344:           PetscCheck(nf, PETSC_COMM_SELF, PETSC_ERR_PLIB, "DS cannot be supported on 0 fields");
345:           PetscCall(ISGetIndices(dsfields, &fld));
346:           PetscCall(ISGetLocalSize(dm->probs[d].fields, &onf));
347:           PetscCall(ISGetIndices(dm->probs[d].fields, &ofld));
348:           PetscCall(PetscMalloc1(nf, &fidx));
349:           for (PetscInt f = 0, g = 0; f < onf && g < nf; ++f) {
350:             if (ofld[f] == fld[g]) fidx[g++] = f;
351:           }
352:           PetscCall(ISRestoreIndices(dm->probs[d].fields, &ofld));
353:           PetscCall(ISRestoreIndices(dsfields, &fld));
354:           PetscCall(ISDestroy(&dsfields));
355:           PetscCall(PetscDSSelectDiscretizations(dm->probs[0].ds, nf, fidx, (*subdm)->probs[0].ds));
356:           PetscCall(PetscDSSelectEquations(dm->probs[0].ds, nf, fidx, (*subdm)->probs[0].ds));
357:           PetscCall(PetscFree(fidx));
358:         }
359:         ++e;
360:       }
361:     } else {
362:       PetscCall(PetscDSCopyConstants(dm->probs[0].ds, (*subdm)->probs[0].ds));
363:       PetscCall(PetscDSCopyBoundary(dm->probs[0].ds, PETSC_DETERMINE, NULL, (*subdm)->probs[0].ds));
364:       PetscCall(PetscDSSelectDiscretizations(dm->probs[0].ds, numFields, fields, (*subdm)->probs[0].ds));
365:       PetscCall(PetscDSSelectEquations(dm->probs[0].ds, numFields, fields, (*subdm)->probs[0].ds));
366:     }
367:   }
368:   if (haveNull && is) {
369:     MatNullSpace nullSpace;

371:     PetscCall((*(*subdm)->nullspaceConstructors[nf])(*subdm, of, nf, &nullSpace));
372:     PetscCall(PetscObjectCompose((PetscObject)*is, "nullspace", (PetscObject)nullSpace));
373:     PetscCall(MatNullSpaceDestroy(&nullSpace));
374:   }
375:   if (dm->coarseMesh) PetscCall(DMCreateSubDM(dm->coarseMesh, numFields, fields, NULL, &(*subdm)->coarseMesh));
376:   PetscFunctionReturn(PETSC_SUCCESS);
377: }

379: /*@C
380:   DMCreateSectionSubDM - Returns an `IS` and `subDM` containing a `PetscSection` that encapsulates a subproblem defined by a subset of the fields in a `PetscSection` in the `DM`.

382:   Not Collective

384:   Input Parameters:
385: + dm        - The `DM` object
386: . numFields - The number of fields to incorporate into `subdm`
387: . fields    - The field numbers of the selected fields
388: . numComps  - The number of components from each field to incorporate into `subdm`, or PETSC_DECIDE for all components
389: - comps     - The component numbers of the selected fields (omitted for PTESC_DECIDE fields)

391:   Output Parameters:
392: + is    - The global indices for the subproblem or `NULL`
393: - subdm - The `DM` for the subproblem, which must already have be cloned from `dm` or `NULL`

395:   Level: intermediate

397:   Notes:
398:   If `is` and `subdm` are both `NULL` this does nothing

400: .seealso: `DMCreateSubDM()`, `DMGetLocalSection()`, `DMPlexSetMigrationSF()`, `DMView()`
401: @*/
402: PetscErrorCode DMCreateSectionSubDM(DM dm, PetscInt numFields, const PetscInt fields[], const PetscInt numComps[], const PetscInt comps[], IS *is, DM *subdm)
403: {
404:   PetscSection section, sectionGlobal;
405:   PetscInt     Nf;

407:   PetscFunctionBegin;
408:   if (!numFields) PetscFunctionReturn(PETSC_SUCCESS);
409:   PetscCall(DMGetLocalSection(dm, &section));
410:   PetscCall(DMGetGlobalSection(dm, &sectionGlobal));
411:   PetscCheck(section, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Must set default section for DM before splitting fields");
412:   PetscCheck(sectionGlobal, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Must set default global section for DM before splitting fields");
413:   PetscCall(PetscSectionGetNumFields(section, &Nf));
414:   PetscCheck(numFields <= Nf, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Number of requested fields %" PetscInt_FMT " greater than number of DM fields %" PetscInt_FMT, numFields, Nf);

416:   if (is) PetscCall(PetscSectionSelectFields_Private(section, sectionGlobal, numFields, fields, numComps, comps, is));
417:   if (subdm) PetscCall(DMSelectFields_Private(dm, section, numFields, fields, numComps, comps, is, subdm));
418:   PetscFunctionReturn(PETSC_SUCCESS);
419: }

421: /*@C
422:   DMCreateSectionSuperDM - Returns an arrays of `IS` and a `DM` containing a `PetscSection` that encapsulates a superproblem defined by the array of `DM` and their `PetscSection`

424:   Not Collective

426:   Input Parameters:
427: + dms - The `DM` objects, the must all have the same topology; for example obtained with `DMClone()`
428: - len - The number of `DM` in `dms`

430:   Output Parameters:
431: + is      - The global indices for the subproblem, or `NULL`
432: - superdm - The `DM` for the superproblem, which must already have be cloned and contain the same topology as the `dms`

434:   Level: intermediate

436: .seealso: `DMCreateSuperDM()`, `DMGetLocalSection()`, `DMPlexSetMigrationSF()`, `DMView()`
437: @*/
438: PetscErrorCode DMCreateSectionSuperDM(DM dms[], PetscInt len, IS **is, DM *superdm)
439: {
440:   MPI_Comm     comm;
441:   PetscSection supersection, *sections, *sectionGlobals;
442:   PetscInt    *Nfs, Nf = 0, f, supf, oldf = -1, nullf = -1, i;
443:   PetscBool    haveNull = PETSC_FALSE;

445:   PetscFunctionBegin;
446:   PetscCall(PetscObjectGetComm((PetscObject)dms[0], &comm));
447:   /* Pull out local and global sections */
448:   PetscCall(PetscMalloc3(len, &Nfs, len, &sections, len, &sectionGlobals));
449:   for (i = 0; i < len; ++i) {
450:     PetscCall(DMGetLocalSection(dms[i], &sections[i]));
451:     PetscCall(DMGetGlobalSection(dms[i], &sectionGlobals[i]));
452:     PetscCheck(sections[i], comm, PETSC_ERR_ARG_WRONG, "Must set default section for DM before splitting fields");
453:     PetscCheck(sectionGlobals[i], comm, PETSC_ERR_ARG_WRONG, "Must set default global section for DM before splitting fields");
454:     PetscCall(PetscSectionGetNumFields(sections[i], &Nfs[i]));
455:     Nf += Nfs[i];
456:   }
457:   /* Create the supersection */
458:   PetscCall(PetscSectionCreateSupersection(sections, len, &supersection));
459:   PetscCall(DMSetLocalSection(*superdm, supersection));
460:   /* Create ISes */
461:   if (is) {
462:     PetscSection supersectionGlobal;
463:     PetscInt     bs = -1, startf = 0;

465:     PetscCall(PetscMalloc1(len, is));
466:     PetscCall(DMGetGlobalSection(*superdm, &supersectionGlobal));
467:     for (i = 0; i < len; startf += Nfs[i], ++i) {
468:       PetscInt *subIndices;
469:       PetscInt  subSize, subOff, pStart, pEnd, p, start, end, dummy;

471:       PetscCall(PetscSectionGetChart(sectionGlobals[i], &pStart, &pEnd));
472:       PetscCall(PetscSectionGetConstrainedStorageSize(sectionGlobals[i], &subSize));
473:       PetscCall(PetscMalloc1(subSize, &subIndices));
474:       for (p = pStart, subOff = 0; p < pEnd; ++p) {
475:         PetscInt gdof, gcdof, gtdof, d;

477:         PetscCall(PetscSectionGetDof(sectionGlobals[i], p, &gdof));
478:         PetscCall(PetscSectionGetConstraintDof(sections[i], p, &gcdof));
479:         gtdof = gdof - gcdof;
480:         if (gdof > 0 && gtdof) {
481:           if (bs < 0) {
482:             bs = gtdof;
483:           } else if (bs != gtdof) {
484:             bs = 1;
485:           }
486:           PetscCall(DMGetGlobalFieldOffset_Private(*superdm, p, startf, &start, &dummy));
487:           PetscCall(DMGetGlobalFieldOffset_Private(*superdm, p, startf + Nfs[i] - 1, &dummy, &end));
488:           PetscCheck(end - start == gtdof, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Invalid number of global dofs %" PetscInt_FMT " != %" PetscInt_FMT " for dm %" PetscInt_FMT " on point %" PetscInt_FMT, end - start, gtdof, i, p);
489:           for (d = start; d < end; ++d, ++subOff) subIndices[subOff] = d;
490:         }
491:       }
492:       PetscCall(ISCreateGeneral(comm, subSize, subIndices, PETSC_OWN_POINTER, &(*is)[i]));
493:       /* Must have same blocksize on all procs (some might have no points) */
494:       {
495:         PetscInt bs = -1, bsLocal[2], bsMinMax[2];

497:         bsLocal[0] = bs < 0 ? PETSC_MAX_INT : bs;
498:         bsLocal[1] = bs;
499:         PetscCall(PetscGlobalMinMaxInt(comm, bsLocal, bsMinMax));
500:         if (bsMinMax[0] != bsMinMax[1]) {
501:           bs = 1;
502:         } else {
503:           bs = bsMinMax[0];
504:         }
505:         PetscCall(ISSetBlockSize((*is)[i], bs));
506:       }
507:     }
508:   }
509:   /* Preserve discretizations */
510:   if (len && dms[0]->probs) {
511:     PetscCall(DMSetNumFields(*superdm, Nf));
512:     for (i = 0, supf = 0; i < len; ++i) {
513:       for (f = 0; f < Nfs[i]; ++f, ++supf) {
514:         PetscObject disc;

516:         PetscCall(DMGetField(dms[i], f, NULL, &disc));
517:         PetscCall(DMSetField(*superdm, supf, NULL, disc));
518:       }
519:     }
520:     PetscCall(DMCreateDS(*superdm));
521:   }
522:   /* Preserve nullspaces */
523:   for (i = 0, supf = 0; i < len; ++i) {
524:     for (f = 0; f < Nfs[i]; ++f, ++supf) {
525:       (*superdm)->nullspaceConstructors[supf] = dms[i]->nullspaceConstructors[f];
526:       if ((*superdm)->nullspaceConstructors[supf]) {
527:         haveNull = PETSC_TRUE;
528:         nullf    = supf;
529:         oldf     = f;
530:       }
531:     }
532:   }
533:   /* Attach nullspace to IS */
534:   if (haveNull && is) {
535:     MatNullSpace nullSpace;

537:     PetscCall((*(*superdm)->nullspaceConstructors[nullf])(*superdm, oldf, nullf, &nullSpace));
538:     PetscCall(PetscObjectCompose((PetscObject)(*is)[nullf], "nullspace", (PetscObject)nullSpace));
539:     PetscCall(MatNullSpaceDestroy(&nullSpace));
540:   }
541:   PetscCall(PetscSectionDestroy(&supersection));
542:   PetscCall(PetscFree3(Nfs, sections, sectionGlobals));
543:   PetscFunctionReturn(PETSC_SUCCESS);
544: }