Actual source code: dm.c

  1: #include <petscvec.h>
  2: #include <petsc/private/dmimpl.h>
  3: #include <petsc/private/dmlabelimpl.h>
  4: #include <petsc/private/petscdsimpl.h>
  5: #include <petscdmplex.h>
  6: #include <petscdmceed.h>
  7: #include <petscdmfield.h>
  8: #include <petscsf.h>
  9: #include <petscds.h>

 11: #ifdef PETSC_HAVE_LIBCEED
 12: #include <petscfeceed.h>
 13: #endif

 15: PetscClassId DM_CLASSID;
 16: PetscClassId DMLABEL_CLASSID;
 17: PetscLogEvent DM_Convert, DM_GlobalToLocal, DM_LocalToGlobal, DM_LocalToLocal, DM_LocatePoints, DM_Coarsen, DM_Refine, DM_CreateInterpolation, DM_CreateRestriction, DM_CreateInjection, DM_CreateMatrix, DM_CreateMassMatrix, DM_Load, DM_View, DM_AdaptInterpolator, DM_ProjectFunction;

 19: const char *const DMBoundaryTypes[]          = {"NONE", "GHOSTED", "MIRROR", "PERIODIC", "TWIST", "DMBoundaryType", "DM_BOUNDARY_", NULL};
 20: const char *const DMBoundaryConditionTypes[] = {"INVALID", "ESSENTIAL", "NATURAL", "INVALID", "LOWER_BOUND", "ESSENTIAL_FIELD", "NATURAL_FIELD", "INVALID", "UPPER_BOUND", "ESSENTIAL_BD_FIELD", "NATURAL_RIEMANN", "DMBoundaryConditionType",
 21:                                                 "DM_BC_",  NULL};
 22: const char *const DMBlockingTypes[]          = {"TOPOLOGICAL_POINT", "FIELD_NODE", "DMBlockingType", "DM_BLOCKING_", NULL};
 23: const char *const DMPolytopeTypes[] =
 24:   {"vertex",  "segment",      "tensor_segment", "triangle", "quadrilateral",  "tensor_quad",  "tetrahedron", "hexahedron", "triangular_prism", "tensor_triangular_prism", "tensor_quadrilateral_prism", "pyramid", "FV_ghost_cell", "interior_ghost_cell",
 25:    "unknown", "unknown_cell", "unknown_face",   "invalid",  "DMPolytopeType", "DM_POLYTOPE_", NULL};
 26: const char *const DMCopyLabelsModes[] = {"replace", "keep", "fail", "DMCopyLabelsMode", "DM_COPY_LABELS_", NULL};

 28: /*@
 29:   DMCreate - Creates an empty `DM` object. `DM`s are the abstract objects in PETSc that mediate between meshes and discretizations and the
 30:   algebraic solvers, time integrators, and optimization algorithms in PETSc.

 32:   Collective

 34:   Input Parameter:
 35: . comm - The communicator for the `DM` object

 37:   Output Parameter:
 38: . dm - The `DM` object

 40:   Level: beginner

 42:   Notes:
 43:   See `DMType` for a brief summary of available `DM`.

 45:   The type must then be set with `DMSetType()`. If you never call `DMSetType()` it will generate an
 46:   error when you try to use the `dm`.

 48:   `DM` is an orphan initialism or orphan acronym, the letters have no meaning and never did.

 50: .seealso: [](ch_dmbase), `DM`, `DMSetType()`, `DMType`, `DMDACreate()`, `DMDA`, `DMSLICED`, `DMCOMPOSITE`, `DMPLEX`, `DMMOAB`, `DMNETWORK`
 51: @*/
 52: PetscErrorCode DMCreate(MPI_Comm comm, DM *dm)
 53: {
 54:   DM      v;
 55:   PetscDS ds;

 57:   PetscFunctionBegin;
 58:   PetscAssertPointer(dm, 2);

 60:   PetscCall(DMInitializePackage());
 61:   PetscCall(PetscHeaderCreate(v, DM_CLASSID, "DM", "Distribution Manager", "DM", comm, DMDestroy, DMView));
 62:   ((PetscObject)v)->non_cyclic_references = &DMCountNonCyclicReferences;
 63:   v->setupcalled                          = PETSC_FALSE;
 64:   v->setfromoptionscalled                 = PETSC_FALSE;
 65:   v->ltogmap                              = NULL;
 66:   v->bind_below                           = 0;
 67:   v->bs                                   = 1;
 68:   v->coloringtype                         = IS_COLORING_GLOBAL;
 69:   PetscCall(PetscSFCreate(comm, &v->sf));
 70:   PetscCall(PetscSFCreate(comm, &v->sectionSF));
 71:   v->labels                    = NULL;
 72:   v->adjacency[0]              = PETSC_FALSE;
 73:   v->adjacency[1]              = PETSC_TRUE;
 74:   v->depthLabel                = NULL;
 75:   v->celltypeLabel             = NULL;
 76:   v->localSection              = NULL;
 77:   v->globalSection             = NULL;
 78:   v->defaultConstraint.section = NULL;
 79:   v->defaultConstraint.mat     = NULL;
 80:   v->defaultConstraint.bias    = NULL;
 81:   v->coordinates[0].dim        = PETSC_DEFAULT;
 82:   v->coordinates[1].dim        = PETSC_DEFAULT;
 83:   v->sparseLocalize            = PETSC_TRUE;
 84:   v->dim                       = PETSC_DETERMINE;
 85:   PetscCall(PetscDSCreate(PETSC_COMM_SELF, &ds));
 86:   PetscCall(DMSetRegionDS(v, NULL, NULL, ds, NULL));
 87:   PetscCall(PetscDSDestroy(&ds));
 88:   PetscCall(PetscHMapAuxCreate(&v->auxData));
 89:   v->dmBC              = NULL;
 90:   v->coarseMesh        = NULL;
 91:   v->outputSequenceNum = -1;
 92:   v->outputSequenceVal = 0.0;
 93:   PetscCall(DMSetVecType(v, VECSTANDARD));
 94:   PetscCall(DMSetMatType(v, MATAIJ));

 96:   *dm = v;
 97:   PetscFunctionReturn(PETSC_SUCCESS);
 98: }

100: /*@
101:   DMClone - Creates a `DM` object with the same topology as the original.

103:   Collective

105:   Input Parameter:
106: . dm - The original `DM` object

108:   Output Parameter:
109: . newdm - The new `DM` object

111:   Level: beginner

113:   Notes:
114:   For some `DM` implementations this is a shallow clone, the result of which may share (reference counted) information with its parent. For example,
115:   `DMClone()` applied to a `DMPLEX` object will result in a new `DMPLEX` that shares the topology with the original `DMPLEX`. It does not
116:   share the `PetscSection` of the original `DM`.

118:   The clone is considered set up if the original has been set up.

120:   Use `DMConvert()` for a general way to create new `DM` from a given `DM`

122: .seealso: [](ch_dmbase), `DM`, `DMDestroy()`, `DMCreate()`, `DMSetType()`, `DMSetLocalSection()`, `DMSetGlobalSection()`, `DMPLEX`, `DMConvert()`
123: @*/
124: PetscErrorCode DMClone(DM dm, DM *newdm)
125: {
126:   PetscSF              sf;
127:   Vec                  coords;
128:   void                *ctx;
129:   MatOrderingType      otype;
130:   DMReorderDefaultFlag flg;
131:   PetscInt             dim, cdim, i;
132:   PetscBool            sparse;

134:   PetscFunctionBegin;
136:   PetscAssertPointer(newdm, 2);
137:   PetscCall(DMCreate(PetscObjectComm((PetscObject)dm), newdm));
138:   PetscCall(DMCopyLabels(dm, *newdm, PETSC_COPY_VALUES, PETSC_TRUE, DM_COPY_LABELS_FAIL));
139:   (*newdm)->leveldown     = dm->leveldown;
140:   (*newdm)->levelup       = dm->levelup;
141:   (*newdm)->prealloc_only = dm->prealloc_only;
142:   (*newdm)->prealloc_skip = dm->prealloc_skip;
143:   PetscCall(PetscFree((*newdm)->vectype));
144:   PetscCall(PetscStrallocpy(dm->vectype, (char **)&(*newdm)->vectype));
145:   PetscCall(PetscFree((*newdm)->mattype));
146:   PetscCall(PetscStrallocpy(dm->mattype, (char **)&(*newdm)->mattype));
147:   PetscCall(DMGetDimension(dm, &dim));
148:   PetscCall(DMSetDimension(*newdm, dim));
149:   PetscTryTypeMethod(dm, clone, newdm);
150:   (*newdm)->setupcalled = dm->setupcalled;
151:   PetscCall(DMGetPointSF(dm, &sf));
152:   PetscCall(DMSetPointSF(*newdm, sf));
153:   PetscCall(DMGetApplicationContext(dm, &ctx));
154:   PetscCall(DMSetApplicationContext(*newdm, ctx));
155:   PetscCall(DMReorderSectionGetDefault(dm, &flg));
156:   PetscCall(DMReorderSectionSetDefault(*newdm, flg));
157:   PetscCall(DMReorderSectionGetType(dm, &otype));
158:   PetscCall(DMReorderSectionSetType(*newdm, otype));
159:   for (i = 0; i < 2; ++i) {
160:     if (dm->coordinates[i].dm) {
161:       DM           ncdm;
162:       PetscSection cs;
163:       PetscInt     pEnd = -1, pEndMax = -1;

165:       PetscCall(DMGetLocalSection(dm->coordinates[i].dm, &cs));
166:       if (cs) PetscCall(PetscSectionGetChart(cs, NULL, &pEnd));
167:       PetscCallMPI(MPIU_Allreduce(&pEnd, &pEndMax, 1, MPIU_INT, MPI_MAX, PetscObjectComm((PetscObject)dm)));
168:       if (pEndMax >= 0) {
169:         PetscCall(DMClone(dm->coordinates[i].dm, &ncdm));
170:         PetscCall(DMCopyDisc(dm->coordinates[i].dm, ncdm));
171:         PetscCall(DMSetLocalSection(ncdm, cs));
172:         if (dm->coordinates[i].dm->periodic.setup) {
173:           ncdm->periodic.setup = dm->coordinates[i].dm->periodic.setup;
174:           PetscCall(ncdm->periodic.setup(ncdm));
175:         }
176:         if (i) PetscCall(DMSetCellCoordinateDM(*newdm, ncdm));
177:         else PetscCall(DMSetCoordinateDM(*newdm, ncdm));
178:         PetscCall(DMDestroy(&ncdm));
179:       }
180:     }
181:   }
182:   PetscCall(DMGetCoordinateDim(dm, &cdim));
183:   PetscCall(DMSetCoordinateDim(*newdm, cdim));
184:   PetscCall(DMGetCoordinatesLocal(dm, &coords));
185:   if (coords) {
186:     PetscCall(DMSetCoordinatesLocal(*newdm, coords));
187:   } else {
188:     PetscCall(DMGetCoordinates(dm, &coords));
189:     if (coords) PetscCall(DMSetCoordinates(*newdm, coords));
190:   }
191:   PetscCall(DMGetSparseLocalize(dm, &sparse));
192:   PetscCall(DMSetSparseLocalize(*newdm, sparse));
193:   PetscCall(DMGetCellCoordinatesLocal(dm, &coords));
194:   if (coords) {
195:     PetscCall(DMSetCellCoordinatesLocal(*newdm, coords));
196:   } else {
197:     PetscCall(DMGetCellCoordinates(dm, &coords));
198:     if (coords) PetscCall(DMSetCellCoordinates(*newdm, coords));
199:   }
200:   {
201:     const PetscReal *maxCell, *Lstart, *L;

203:     PetscCall(DMGetPeriodicity(dm, &maxCell, &Lstart, &L));
204:     PetscCall(DMSetPeriodicity(*newdm, maxCell, Lstart, L));
205:   }
206:   {
207:     PetscBool useCone, useClosure;

209:     PetscCall(DMGetAdjacency(dm, PETSC_DEFAULT, &useCone, &useClosure));
210:     PetscCall(DMSetAdjacency(*newdm, PETSC_DEFAULT, useCone, useClosure));
211:   }
212:   PetscFunctionReturn(PETSC_SUCCESS);
213: }

215: /*@
216:   DMSetVecType - Sets the type of vector to be created with `DMCreateLocalVector()` and `DMCreateGlobalVector()`

218:   Logically Collective

220:   Input Parameters:
221: + dm    - initial distributed array
222: - ctype - the vector type, for example `VECSTANDARD`, `VECCUDA`, or `VECVIENNACL`

224:   Options Database Key:
225: . -dm_vec_type ctype - the type of vector to create

227:   Level: intermediate

229: .seealso: [](ch_dmbase), `DM`, `DMCreate()`, `DMDestroy()`, `DMDAInterpolationType`, `VecType`, `DMGetVecType()`, `DMSetMatType()`, `DMGetMatType()`,
230:           `VECSTANDARD`, `VECCUDA`, `VECVIENNACL`, `DMCreateLocalVector()`, `DMCreateGlobalVector()`
231: @*/
232: PetscErrorCode DMSetVecType(DM dm, VecType ctype)
233: {
234:   char *tmp;

236:   PetscFunctionBegin;
238:   PetscAssertPointer(ctype, 2);
239:   tmp = (char *)dm->vectype;
240:   PetscCall(PetscStrallocpy(ctype, (char **)&dm->vectype));
241:   PetscCall(PetscFree(tmp));
242:   PetscFunctionReturn(PETSC_SUCCESS);
243: }

245: /*@
246:   DMGetVecType - Gets the type of vector created with `DMCreateLocalVector()` and `DMCreateGlobalVector()`

248:   Logically Collective

250:   Input Parameter:
251: . da - initial distributed array

253:   Output Parameter:
254: . ctype - the vector type

256:   Level: intermediate

258: .seealso: [](ch_dmbase), `DM`, `DMCreate()`, `DMDestroy()`, `DMDAInterpolationType`, `VecType`, `DMSetMatType()`, `DMGetMatType()`, `DMSetVecType()`
259: @*/
260: PetscErrorCode DMGetVecType(DM da, VecType *ctype)
261: {
262:   PetscFunctionBegin;
264:   *ctype = da->vectype;
265:   PetscFunctionReturn(PETSC_SUCCESS);
266: }

268: /*@
269:   VecGetDM - Gets the `DM` defining the data layout of the vector

271:   Not Collective

273:   Input Parameter:
274: . v - The `Vec`

276:   Output Parameter:
277: . dm - The `DM`

279:   Level: intermediate

281:   Note:
282:   A `Vec` may not have a `DM` associated with it.

284: .seealso: [](ch_dmbase), `DM`, `VecSetDM()`, `DMGetLocalVector()`, `DMGetGlobalVector()`, `DMSetVecType()`
285: @*/
286: PetscErrorCode VecGetDM(Vec v, DM *dm)
287: {
288:   PetscFunctionBegin;
290:   PetscAssertPointer(dm, 2);
291:   PetscCall(PetscObjectQuery((PetscObject)v, "__PETSc_dm", (PetscObject *)dm));
292:   PetscFunctionReturn(PETSC_SUCCESS);
293: }

295: /*@
296:   VecSetDM - Sets the `DM` defining the data layout of the vector.

298:   Not Collective

300:   Input Parameters:
301: + v  - The `Vec`
302: - dm - The `DM`

304:   Level: developer

306:   Notes:
307:   This is rarely used, generally one uses `DMGetLocalVector()` or  `DMGetGlobalVector()` to create a vector associated with a given `DM`

309:   This is NOT the same as `DMCreateGlobalVector()` since it does not change the view methods or perform other customization, but merely sets the `DM` member.

311: .seealso: [](ch_dmbase), `DM`, `VecGetDM()`, `DMGetLocalVector()`, `DMGetGlobalVector()`, `DMSetVecType()`
312: @*/
313: PetscErrorCode VecSetDM(Vec v, DM dm)
314: {
315:   PetscFunctionBegin;
318:   PetscCall(PetscObjectCompose((PetscObject)v, "__PETSc_dm", (PetscObject)dm));
319:   PetscFunctionReturn(PETSC_SUCCESS);
320: }

322: /*@
323:   DMSetISColoringType - Sets the type of coloring, `IS_COLORING_GLOBAL` or `IS_COLORING_LOCAL` that is created by the `DM`

325:   Logically Collective

327:   Input Parameters:
328: + dm    - the `DM` context
329: - ctype - the matrix type

331:   Options Database Key:
332: . -dm_is_coloring_type (global|local) - see `ISColoringType`

334:   Level: intermediate

336: .seealso: [](ch_dmbase), `DM`, `DMDACreate1d()`, `DMDACreate2d()`, `DMDACreate3d()`, `DMCreateMatrix()`, `DMCreateMassMatrix()`, `DMSetMatrixPreallocateOnly()`, `MatType`, `DMGetMatType()`,
337:           `DMGetISColoringType()`, `ISColoringType`, `IS_COLORING_GLOBAL`, `IS_COLORING_LOCAL`
338: @*/
339: PetscErrorCode DMSetISColoringType(DM dm, ISColoringType ctype)
340: {
341:   PetscFunctionBegin;
343:   dm->coloringtype = ctype;
344:   PetscFunctionReturn(PETSC_SUCCESS);
345: }

347: /*@
348:   DMGetISColoringType - Gets the type of coloring, `IS_COLORING_GLOBAL` or `IS_COLORING_LOCAL` that is created by the `DM`

350:   Logically Collective

352:   Input Parameter:
353: . dm - the `DM` context

355:   Output Parameter:
356: . ctype - the matrix type

358:   Level: intermediate

360: .seealso: [](ch_dmbase), `DM`, `DMDACreate1d()`, `DMDACreate2d()`, `DMDACreate3d()`, `DMCreateMatrix()`, `DMCreateMassMatrix()`, `DMSetMatrixPreallocateOnly()`, `MatType`, `DMGetMatType()`,
361:           `ISColoringType`, `IS_COLORING_GLOBAL`, `IS_COLORING_LOCAL`
362: @*/
363: PetscErrorCode DMGetISColoringType(DM dm, ISColoringType *ctype)
364: {
365:   PetscFunctionBegin;
367:   *ctype = dm->coloringtype;
368:   PetscFunctionReturn(PETSC_SUCCESS);
369: }

371: /*@
372:   DMSetMatType - Sets the type of matrix created with `DMCreateMatrix()`

374:   Logically Collective

376:   Input Parameters:
377: + dm    - the `DM` context
378: - ctype - the matrix type, for example `MATMPIAIJ`

380:   Options Database Key:
381: . -dm_mat_type ctype - the type of the matrix to create, see `MatType`

383:   Level: intermediate

385: .seealso: [](ch_dmbase), `DM`, `MatType`, `DMDACreate1d()`, `DMDACreate2d()`, `DMDACreate3d()`, `DMCreateMatrix()`, `DMCreateMassMatrix()`, `DMSetMatrixPreallocateOnly()`, `DMGetMatType()`, `DMCreateGlobalVector()`, `DMCreateLocalVector()`
386: @*/
387: PetscErrorCode DMSetMatType(DM dm, MatType ctype)
388: {
389:   char *tmp;

391:   PetscFunctionBegin;
393:   PetscAssertPointer(ctype, 2);
394:   tmp = (char *)dm->mattype;
395:   PetscCall(PetscStrallocpy(ctype, (char **)&dm->mattype));
396:   PetscCall(PetscFree(tmp));
397:   PetscFunctionReturn(PETSC_SUCCESS);
398: }

400: /*@
401:   DMGetMatType - Gets the type of matrix that would be created with `DMCreateMatrix()`

403:   Logically Collective

405:   Input Parameter:
406: . dm - the `DM` context

408:   Output Parameter:
409: . ctype - the matrix type

411:   Level: intermediate

413: .seealso: [](ch_dmbase), `DM`, `DMDACreate1d()`, `DMDACreate2d()`, `DMDACreate3d()`, `DMCreateMatrix()`, `DMCreateMassMatrix()`, `DMSetMatrixPreallocateOnly()`, `MatType`, `DMSetMatType()`
414: @*/
415: PetscErrorCode DMGetMatType(DM dm, MatType *ctype)
416: {
417:   PetscFunctionBegin;
419:   *ctype = dm->mattype;
420:   PetscFunctionReturn(PETSC_SUCCESS);
421: }

423: /*@
424:   MatGetDM - Gets the `DM` defining the data layout of the matrix

426:   Not Collective

428:   Input Parameter:
429: . A - The `Mat`

431:   Output Parameter:
432: . dm - The `DM`

434:   Level: intermediate

436:   Note:
437:   A matrix may not have a `DM` associated with it

439:   Developer Note:
440:   Since the `Mat` class doesn't know about the `DM` class the `DM` object is associated with the `Mat` through a `PetscObjectCompose()` operation

442: .seealso: [](ch_dmbase), `DM`, `MatSetDM()`, `DMCreateMatrix()`, `DMSetMatType()`
443: @*/
444: PetscErrorCode MatGetDM(Mat A, DM *dm)
445: {
446:   PetscFunctionBegin;
448:   PetscAssertPointer(dm, 2);
449:   PetscCall(PetscObjectQuery((PetscObject)A, "__PETSc_dm", (PetscObject *)dm));
450:   PetscFunctionReturn(PETSC_SUCCESS);
451: }

453: /*@
454:   MatSetDM - Sets the `DM` defining the data layout of the matrix

456:   Not Collective

458:   Input Parameters:
459: + A  - The `Mat`
460: - dm - The `DM`

462:   Level: developer

464:   Note:
465:   This is rarely used in practice, rather `DMCreateMatrix()` is used to create a matrix associated with a particular `DM`

467:   Developer Note:
468:   Since the `Mat` class doesn't know about the `DM` class the `DM` object is associated with
469:   the `Mat` through a `PetscObjectCompose()` operation

471: .seealso: [](ch_dmbase), `DM`, `MatGetDM()`, `DMCreateMatrix()`, `DMSetMatType()`
472: @*/
473: PetscErrorCode MatSetDM(Mat A, DM dm)
474: {
475:   PetscFunctionBegin;
478:   PetscCall(PetscObjectCompose((PetscObject)A, "__PETSc_dm", (PetscObject)dm));
479:   PetscFunctionReturn(PETSC_SUCCESS);
480: }

482: /*@
483:   DMSetOptionsPrefix - Sets the prefix prepended to all option names when searching through the options database

485:   Logically Collective

487:   Input Parameters:
488: + dm     - the `DM` context
489: - prefix - the prefix to prepend

491:   Level: advanced

493:   Note:
494:   A hyphen (-) must NOT be given at the beginning of the prefix name.
495:   The first character of all runtime options is AUTOMATICALLY the hyphen.

497: .seealso: [](ch_dmbase), `DM`, `PetscObjectSetOptionsPrefix()`, `DMSetFromOptions()`
498: @*/
499: PetscErrorCode DMSetOptionsPrefix(DM dm, const char prefix[])
500: {
501:   PetscFunctionBegin;
503:   PetscCall(PetscObjectSetOptionsPrefix((PetscObject)dm, prefix));
504:   if (dm->sf) PetscCall(PetscObjectSetOptionsPrefix((PetscObject)dm->sf, prefix));
505:   if (dm->sectionSF) PetscCall(PetscObjectSetOptionsPrefix((PetscObject)dm->sectionSF, prefix));
506:   PetscFunctionReturn(PETSC_SUCCESS);
507: }

509: /*@
510:   DMAppendOptionsPrefix - Appends an additional string to an already existing prefix used for searching for
511:   `DM` options in the options database.

513:   Logically Collective

515:   Input Parameters:
516: + dm     - the `DM` context
517: - prefix - the string to append to the current prefix

519:   Level: advanced

521:   Note:
522:   If the `DM` does not currently have an options prefix then this value is used alone as the prefix as if `DMSetOptionsPrefix()` had been called.
523:   A hyphen (-) must NOT be given at the beginning of the prefix name.
524:   The first character of all runtime options is AUTOMATICALLY the hyphen.

526: .seealso: [](ch_dmbase), `DM`, `DMSetOptionsPrefix()`, `DMGetOptionsPrefix()`, `PetscObjectAppendOptionsPrefix()`, `DMSetFromOptions()`
527: @*/
528: PetscErrorCode DMAppendOptionsPrefix(DM dm, const char prefix[])
529: {
530:   PetscFunctionBegin;
532:   PetscCall(PetscObjectAppendOptionsPrefix((PetscObject)dm, prefix));
533:   PetscFunctionReturn(PETSC_SUCCESS);
534: }

536: /*@
537:   DMGetOptionsPrefix - Gets the prefix used for searching for all
538:   DM options in the options database.

540:   Not Collective

542:   Input Parameter:
543: . dm - the `DM` context

545:   Output Parameter:
546: . prefix - pointer to the prefix string used is returned

548:   Level: advanced

550: .seealso: [](ch_dmbase), `DM`, `DMSetOptionsPrefix()`, `DMAppendOptionsPrefix()`, `DMSetFromOptions()`
551: @*/
552: PetscErrorCode DMGetOptionsPrefix(DM dm, const char *prefix[])
553: {
554:   PetscFunctionBegin;
556:   PetscCall(PetscObjectGetOptionsPrefix((PetscObject)dm, prefix));
557:   PetscFunctionReturn(PETSC_SUCCESS);
558: }

560: static PetscErrorCode DMCountNonCyclicReferences_Internal(DM dm, PetscBool recurseCoarse, PetscBool recurseFine, PetscInt *ncrefct)
561: {
562:   PetscInt refct = ((PetscObject)dm)->refct;

564:   PetscFunctionBegin;
565:   *ncrefct = 0;
566:   if (dm->coarseMesh && dm->coarseMesh->fineMesh == dm) {
567:     refct--;
568:     if (recurseCoarse) {
569:       PetscInt coarseCount;

571:       PetscCall(DMCountNonCyclicReferences_Internal(dm->coarseMesh, PETSC_TRUE, PETSC_FALSE, &coarseCount));
572:       refct += coarseCount;
573:     }
574:   }
575:   if (dm->fineMesh && dm->fineMesh->coarseMesh == dm) {
576:     refct--;
577:     if (recurseFine) {
578:       PetscInt fineCount;

580:       PetscCall(DMCountNonCyclicReferences_Internal(dm->fineMesh, PETSC_FALSE, PETSC_TRUE, &fineCount));
581:       refct += fineCount;
582:     }
583:   }
584:   *ncrefct = refct;
585:   PetscFunctionReturn(PETSC_SUCCESS);
586: }

588: /* Generic wrapper for DMCountNonCyclicReferences_Internal() */
589: PetscErrorCode DMCountNonCyclicReferences(PetscObject dm, PetscInt *ncrefct)
590: {
591:   PetscFunctionBegin;
592:   PetscCall(DMCountNonCyclicReferences_Internal((DM)dm, PETSC_TRUE, PETSC_TRUE, ncrefct));
593:   PetscFunctionReturn(PETSC_SUCCESS);
594: }

596: PetscErrorCode DMDestroyLabelLinkList_Internal(DM dm)
597: {
598:   DMLabelLink next = dm->labels;

600:   PetscFunctionBegin;
601:   /* destroy the labels */
602:   while (next) {
603:     DMLabelLink tmp = next->next;

605:     if (next->label == dm->depthLabel) dm->depthLabel = NULL;
606:     if (next->label == dm->celltypeLabel) dm->celltypeLabel = NULL;
607:     PetscCall(DMLabelDestroy(&next->label));
608:     PetscCall(PetscFree(next));
609:     next = tmp;
610:   }
611:   dm->labels = NULL;
612:   PetscFunctionReturn(PETSC_SUCCESS);
613: }

615: PetscErrorCode DMDestroyCoordinates_Internal(DMCoordinates *c)
616: {
617:   PetscFunctionBegin;
618:   c->dim = PETSC_DEFAULT;
619:   PetscCall(DMDestroy(&c->dm));
620:   PetscCall(VecDestroy(&c->x));
621:   PetscCall(VecDestroy(&c->xl));
622:   PetscCall(DMFieldDestroy(&c->field));
623:   PetscFunctionReturn(PETSC_SUCCESS);
624: }

626: /*@
627:   DMDestroy - Destroys a `DM`.

629:   Collective

631:   Input Parameter:
632: . dm - the `DM` object to destroy

634:   Level: developer

636: .seealso: [](ch_dmbase), `DM`, `DMCreate()`, `DMType`, `DMSetType()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`, `DMCreateColoring()`, `DMCreateMatrix()`
637: @*/
638: PetscErrorCode DMDestroy(DM *dm)
639: {
640:   PetscInt cnt;

642:   PetscFunctionBegin;
643:   if (!*dm) PetscFunctionReturn(PETSC_SUCCESS);

646:   /* count all non-cyclic references in the doubly-linked list of coarse<->fine meshes */
647:   PetscCall(DMCountNonCyclicReferences_Internal(*dm, PETSC_TRUE, PETSC_TRUE, &cnt));
648:   --((PetscObject)*dm)->refct;
649:   if (--cnt > 0) {
650:     *dm = NULL;
651:     PetscFunctionReturn(PETSC_SUCCESS);
652:   }
653:   if (((PetscObject)*dm)->refct < 0) PetscFunctionReturn(PETSC_SUCCESS);
654:   ((PetscObject)*dm)->refct = 0;

656:   PetscCall(DMClearGlobalVectors(*dm));
657:   PetscCall(DMClearLocalVectors(*dm));
658:   PetscCall(DMClearNamedGlobalVectors(*dm));
659:   PetscCall(DMClearNamedLocalVectors(*dm));

661:   /* Destroy the list of hooks */
662:   {
663:     DMCoarsenHookLink link, next;
664:     for (link = (*dm)->coarsenhook; link; link = next) {
665:       next = link->next;
666:       PetscCall(PetscFree(link));
667:     }
668:     (*dm)->coarsenhook = NULL;
669:   }
670:   {
671:     DMRefineHookLink link, next;
672:     for (link = (*dm)->refinehook; link; link = next) {
673:       next = link->next;
674:       PetscCall(PetscFree(link));
675:     }
676:     (*dm)->refinehook = NULL;
677:   }
678:   {
679:     DMSubDomainHookLink link, next;
680:     for (link = (*dm)->subdomainhook; link; link = next) {
681:       next = link->next;
682:       PetscCall(PetscFree(link));
683:     }
684:     (*dm)->subdomainhook = NULL;
685:   }
686:   {
687:     DMGlobalToLocalHookLink link, next;
688:     for (link = (*dm)->gtolhook; link; link = next) {
689:       next = link->next;
690:       PetscCall(PetscFree(link));
691:     }
692:     (*dm)->gtolhook = NULL;
693:   }
694:   {
695:     DMLocalToGlobalHookLink link, next;
696:     for (link = (*dm)->ltoghook; link; link = next) {
697:       next = link->next;
698:       PetscCall(PetscFree(link));
699:     }
700:     (*dm)->ltoghook = NULL;
701:   }
702:   /* Destroy the work arrays */
703:   {
704:     DMWorkLink link, next;
705:     PetscCheck(!(*dm)->workout, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Work array still checked out %p %p", (void *)(*dm)->workout, (*dm)->workout->mem);
706:     for (link = (*dm)->workin; link; link = next) {
707:       next = link->next;
708:       PetscCall(PetscFree(link->mem));
709:       PetscCall(PetscFree(link));
710:     }
711:     (*dm)->workin = NULL;
712:   }
713:   /* destroy the labels */
714:   PetscCall(DMDestroyLabelLinkList_Internal(*dm));
715:   /* destroy the fields */
716:   PetscCall(DMClearFields(*dm));
717:   /* destroy the boundaries */
718:   {
719:     DMBoundary next = (*dm)->boundary;
720:     while (next) {
721:       DMBoundary b = next;

723:       next = b->next;
724:       PetscCall(PetscFree(b));
725:     }
726:   }

728:   PetscCall(PetscObjectDestroy(&(*dm)->dmksp));
729:   PetscCall(PetscObjectDestroy(&(*dm)->dmsnes));
730:   PetscCall(PetscObjectDestroy(&(*dm)->dmts));

732:   if ((*dm)->ctx && (*dm)->ctxdestroy) PetscCall((*(*dm)->ctxdestroy)(&(*dm)->ctx));
733:   PetscCall(MatFDColoringDestroy(&(*dm)->fd));
734:   PetscCall(ISLocalToGlobalMappingDestroy(&(*dm)->ltogmap));
735:   PetscCall(PetscFree((*dm)->vectype));
736:   PetscCall(PetscFree((*dm)->mattype));

738:   PetscCall(PetscSectionDestroy(&(*dm)->localSection));
739:   PetscCall(PetscSectionDestroy(&(*dm)->globalSection));
740:   PetscCall(PetscFree((*dm)->reorderSectionType));
741:   PetscCall(PetscLayoutDestroy(&(*dm)->map));
742:   PetscCall(PetscSectionDestroy(&(*dm)->defaultConstraint.section));
743:   PetscCall(MatDestroy(&(*dm)->defaultConstraint.mat));
744:   PetscCall(PetscSFDestroy(&(*dm)->sf));
745:   PetscCall(PetscSFDestroy(&(*dm)->sectionSF));
746:   PetscCall(PetscSFDestroy(&(*dm)->sfNatural));
747:   PetscCall(PetscObjectDereference((PetscObject)(*dm)->sfMigration));
748:   PetscCall(DMClearAuxiliaryVec(*dm));
749:   PetscCall(PetscHMapAuxDestroy(&(*dm)->auxData));
750:   if ((*dm)->coarseMesh && (*dm)->coarseMesh->fineMesh == *dm) PetscCall(DMSetFineDM((*dm)->coarseMesh, NULL));

752:   PetscCall(DMDestroy(&(*dm)->coarseMesh));
753:   if ((*dm)->fineMesh && (*dm)->fineMesh->coarseMesh == *dm) PetscCall(DMSetCoarseDM((*dm)->fineMesh, NULL));
754:   PetscCall(DMDestroy(&(*dm)->fineMesh));
755:   PetscCall(PetscFree((*dm)->Lstart));
756:   PetscCall(PetscFree((*dm)->L));
757:   PetscCall(PetscFree((*dm)->maxCell));
758:   PetscCall(PetscFree2((*dm)->nullspaceConstructors, (*dm)->nearnullspaceConstructors));
759:   PetscCall(DMDestroyCoordinates_Internal(&(*dm)->coordinates[0]));
760:   PetscCall(DMDestroyCoordinates_Internal(&(*dm)->coordinates[1]));
761:   if ((*dm)->transformDestroy) PetscCall((*(*dm)->transformDestroy)(*dm, (*dm)->transformCtx));
762:   PetscCall(DMDestroy(&(*dm)->transformDM));
763:   PetscCall(VecDestroy(&(*dm)->transform));
764:   for (PetscInt i = 0; i < (*dm)->periodic.num_affines; i++) {
765:     PetscCall(VecScatterDestroy(&(*dm)->periodic.affine_to_local[i]));
766:     PetscCall(VecDestroy(&(*dm)->periodic.affine[i]));
767:   }
768:   if ((*dm)->periodic.num_affines > 0) PetscCall(PetscFree2((*dm)->periodic.affine_to_local, (*dm)->periodic.affine));

770:   PetscCall(DMClearDS(*dm));
771:   PetscCall(DMDestroy(&(*dm)->dmBC));
772:   /* if memory was published with SAWs then destroy it */
773:   PetscCall(PetscObjectSAWsViewOff((PetscObject)*dm));

775:   PetscTryTypeMethod(*dm, destroy);
776:   PetscCall(DMMonitorCancel(*dm));
777:   PetscCall(DMCeedDestroy(&(*dm)->dmceed));
778: #ifdef PETSC_HAVE_LIBCEED
779:   PetscCallCEED(CeedElemRestrictionDestroy(&(*dm)->ceedERestrict));
780:   PetscCallCEED(CeedDestroy(&(*dm)->ceed));
781: #endif
782:   /* We do not destroy (*dm)->data here so that we can reference count backend objects */
783:   PetscCall(PetscHeaderDestroy(dm));
784:   PetscFunctionReturn(PETSC_SUCCESS);
785: }

787: /*@
788:   DMSetUp - sets up the data structures inside a `DM` object

790:   Collective

792:   Input Parameter:
793: . dm - the `DM` object to setup

795:   Level: intermediate

797:   Note:
798:   This is usually called after various parameter setting operations and `DMSetFromOptions()` are called on the `DM`

800: .seealso: [](ch_dmbase), `DM`, `DMCreate()`, `DMSetType()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`, `DMCreateColoring()`, `DMCreateMatrix()`
801: @*/
802: PetscErrorCode DMSetUp(DM dm)
803: {
804:   PetscFunctionBegin;
806:   if (dm->setupcalled) PetscFunctionReturn(PETSC_SUCCESS);
807:   PetscTryTypeMethod(dm, setup);
808:   dm->setupcalled = PETSC_TRUE;
809:   PetscFunctionReturn(PETSC_SUCCESS);
810: }

812: /*@
813:   DMSetFromOptions - sets parameters in a `DM` from the options database

815:   Collective

817:   Input Parameter:
818: . dm - the `DM` object to set options for

820:   Options Database Keys:
821: + -dm_preallocate_only (true|false)                  - Only preallocate the matrix for `DMCreateMatrix()` and `DMCreateMassMatrix()`, but do not fill it with zeros
822: . -dm_vec_type type                                  - type of vector to create inside `DM`
823: . -dm_mat_type type                                  - type of matrix to create inside `DM`
824: . -dm_is_coloring_type (global|local)                - see `ISColoringType`
825: . -dm_bind_below n                                   - bind (force execution on CPU) for `Vec` and `Mat` objects with local size (number of vector entries or matrix rows) below n; currently only supported for `DMDA`
826: . -dm_plex_option_phases ph0_, ph1_, ...             - List of prefixes for option processing phases
827: . -dm_plex_filename str                              - File containing a mesh
828: . -dm_plex_boundary_filename str                     - File containing a mesh boundary
829: . -dm_plex_name str                                  - Name of the mesh in the file
830: . -dm_plex_shape shape                               - The domain shape, such as `BOX`, `SPHERE`, etc.
831: . -dm_plex_cell ct                                   - Cell shape
832: . -dm_plex_reference_cell_domain (true|false)        - Use a reference cell domain
833: . -dm_plex_dim dim                                   - Set the topological dimension
834: . -dm_plex_simplex (true|false)                      - `PETSC_TRUE` for simplex elements, `PETSC_FALSE` for tensor elements
835: . -dm_plex_interpolate (true|false)                  - `PETSC_TRUE` turns on topological interpolation (creating edges and faces)
836: . -dm_plex_orient (true|false)                       - `PETSC_TRUE` turns on topological orientation (flipping edges and faces)
837: . -dm_plex_scale sc                                  - Scale factor for mesh coordinates
838: . -dm_coord_remap (true|false)                       - Map coordinates using a function
839: . -dm_plex_coordinate_dim dim                        - Change the coordinate dimension of a mesh (usually given with cdm_ prefix)
840: . -dm_coord_map mapname                              - Select a builtin coordinate map
841: . -dm_coord_map_params p0,p1,p2,...                  - Set coordinate mapping parameters
842: . -dm_plex_box_faces m,n,p                           - Number of faces along each dimension
843: . -dm_plex_box_lower x,y,z                           - Specify lower-left-bottom coordinates for the box
844: . -dm_plex_box_upper x,y,z                           - Specify upper-right-top coordinates for the box
845: . -dm_plex_box_bd bx,by,bz                           - Specify the `DMBoundaryType` for each direction
846: . -dm_plex_sphere_radius r                           - The sphere radius
847: . -dm_plex_ball_radius r                             - Radius of the ball
848: . -dm_plex_cylinder_bd bz                            - Boundary type in the z direction
849: . -dm_plex_cylinder_num_wedges n                     - Number of wedges around the cylinder
850: . -dm_plex_reorder order                             - Reorder the mesh using the specified algorithm
851: . -dm_refine_pre n                                   - The number of refinements before distribution
852: . -dm_refine_uniform_pre (true|false)                - Flag for uniform refinement before distribution
853: . -dm_refine_volume_limit_pre v                      - The maximum cell volume after refinement before distribution
854: . -dm_refine n                                       - The number of refinements after distribution
855: . -dm_extrude l                                      - Activate extrusion and specify the number of layers to extrude
856: . -dm_plex_save_transform (true|false)               - Save the `DMPlexTransform` that produced this mesh
857: . -dm_plex_transform_extrude_thickness t             - The total thickness of extruded layers
858: . -dm_plex_transform_extrude_use_tensor (true|false) - Use tensor cells when extruding
859: . -dm_plex_transform_extrude_symmetric (true|false)  - Extrude layers symmetrically about the surface
860: . -dm_plex_transform_extrude_normal n0,...,nd        - Specify the extrusion direction
861: . -dm_plex_transform_extrude_thicknesses t0,...,tl   - Specify thickness of each layer
862: . -dm_plex_create_fv_ghost_cells                     - Flag to create finite volume ghost cells on the boundary
863: . -dm_plex_fv_ghost_cells_label name                 - Label name for ghost cells boundary
864: . -dm_distribute (true|false)                        - Flag to redistribute a mesh among processes
865: . -dm_distribute_overlap n                           - The size of the overlap halo
866: . -dm_plex_adj_cone (true|false)                     - Set adjacency direction
867: . -dm_plex_adj_closure (true|false)                  - Set adjacency size
868: . -dm_plex_use_ceed (true|false)                     - Use LibCEED as the FEM backend
869: . -dm_plex_check_symmetry (true|false)               - Check that the adjacency information in the mesh is symmetric - `DMPlexCheckSymmetry()`
870: . -dm_plex_check_skeleton (true|false)               - Check that each cell has the correct number of vertices (only for homogeneous simplex or tensor meshes) - `DMPlexCheckSkeleton()`
871: . -dm_plex_check_faces (true|false)                  - Check that the faces of each cell give a vertex order this is consistent with what we expect from the cell type - `DMPlexCheckFaces()`
872: . -dm_plex_check_geometry (true|false)               - Check that cells have positive volume - `DMPlexCheckGeometry()`
873: . -dm_plex_check_pointsf (true|false)                - Check some necessary conditions for `PointSF` - `DMPlexCheckPointSF()`
874: . -dm_plex_check_interface_cones (true|false)        - Check points on inter-partition interfaces have conforming order of cone points - `DMPlexCheckInterfaceCones()`
875: - -dm_plex_check_all (true|false)                    - Perform all the checks above

877:   Level: intermediate

879:   Note:
880:   For some `DMType` such as `DMDA` this cannot be called after `DMSetUp()` has been called.

882: .seealso: [](ch_dmbase), `DM`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`, `DMCreateColoring()`, `DMCreateMatrix()`,
883:          `DMPlexCheckSymmetry()`, `DMPlexCheckSkeleton()`, `DMPlexCheckFaces()`, `DMPlexCheckGeometry()`, `DMPlexCheckPointSF()`, `DMPlexCheckInterfaceCones()`,
884:          `DMSetOptionsPrefix()`, `DMType`, `DMPLEX`, `DMDA`, `DMSetUp()`
885: @*/
886: PetscErrorCode DMSetFromOptions(DM dm)
887: {
888:   char      typeName[256];
889:   PetscBool flg;

891:   PetscFunctionBegin;
893:   dm->setfromoptionscalled = PETSC_TRUE;
894:   if (dm->sf) PetscCall(PetscSFSetFromOptions(dm->sf));
895:   if (dm->sectionSF) PetscCall(PetscSFSetFromOptions(dm->sectionSF));
896:   if (dm->coordinates[0].dm) PetscCall(DMSetFromOptions(dm->coordinates[0].dm));
897:   PetscObjectOptionsBegin((PetscObject)dm);
898:   PetscCall(PetscOptionsBool("-dm_preallocate_only", "only preallocate matrix, but do not set column indices", "DMSetMatrixPreallocateOnly", dm->prealloc_only, &dm->prealloc_only, NULL));
899:   PetscCall(PetscOptionsFList("-dm_vec_type", "Vector type used for created vectors", "DMSetVecType", VecList, dm->vectype, typeName, 256, &flg));
900:   if (flg) PetscCall(DMSetVecType(dm, typeName));
901:   PetscCall(PetscOptionsFList("-dm_mat_type", "Matrix type used for created matrices", "DMSetMatType", MatList, dm->mattype ? dm->mattype : typeName, typeName, sizeof(typeName), &flg));
902:   if (flg) PetscCall(DMSetMatType(dm, typeName));
903:   PetscCall(PetscOptionsEnum("-dm_blocking_type", "Topological point or field node blocking", "DMSetBlockingType", DMBlockingTypes, (PetscEnum)dm->blocking_type, (PetscEnum *)&dm->blocking_type, NULL));
904:   PetscCall(PetscOptionsEnum("-dm_is_coloring_type", "Global or local coloring of Jacobian", "DMSetISColoringType", ISColoringTypes, (PetscEnum)dm->coloringtype, (PetscEnum *)&dm->coloringtype, NULL));
905:   PetscCall(PetscOptionsInt("-dm_bind_below", "Set the size threshold (in entries) below which the Vec is bound to the CPU", "VecBindToCPU", dm->bind_below, &dm->bind_below, &flg));
906:   PetscCall(PetscOptionsBool("-dm_ignore_perm_output", "Ignore the local section permutation on output", "DMGetOutputDM", dm->ignorePermOutput, &dm->ignorePermOutput, NULL));
907:   PetscTryTypeMethod(dm, setfromoptions, PetscOptionsObject);
908:   /* process any options handlers added with PetscObjectAddOptionsHandler() */
909:   PetscCall(PetscObjectProcessOptionsHandlers((PetscObject)dm, PetscOptionsObject));
910:   PetscOptionsEnd();
911:   PetscFunctionReturn(PETSC_SUCCESS);
912: }

914: /*@
915:   DMViewFromOptions - View a `DM` in a particular way based on a request in the options database

917:   Collective

919:   Input Parameters:
920: + dm   - the `DM` object
921: . obj  - optional object that provides the prefix for the options database (if `NULL` then the prefix in `obj` is used)
922: - name - option string that is used to activate viewing

924:   Options Database Key:
925: . -name [viewertype][:...] - option name and values. See `PetscObjectViewFromOptions()` for the possible arguments

927:   Level: intermediate

929: .seealso: [](ch_dmbase), `DM`, `DMView()`, `PetscObjectViewFromOptions()`, `DMCreate()`
930: @*/
931: PetscErrorCode DMViewFromOptions(DM dm, PeOp PetscObject obj, const char name[])
932: {
933:   PetscFunctionBegin;
935:   PetscCall(PetscObjectViewFromOptions((PetscObject)dm, obj, name));
936:   PetscFunctionReturn(PETSC_SUCCESS);
937: }

939: /*@
940:   DMView - Views a `DM`. Depending on the `PetscViewer` and its `PetscViewerFormat` it may print some ASCII information about the `DM` to the screen or a file or
941:   save the `DM` in a binary file to be loaded later or create a visualization of the `DM`

943:   Collective

945:   Input Parameters:
946: + dm - the `DM` object to view
947: - v  - the viewer

949:   Options Database Keys:
950: + -view_pyvista_warp f                 - Warps the mesh by the active scalar with factor f
951: . -view_pyvista_clip xl,xu,yl,yu,zl,zu - Defines the clipping box
952: . -dm_view_draw_line_color color       - Specify the X-window color for cell borders
953: . -dm_view_draw_cell_color color       - Specify the X-window color for cells
954: - -dm_view_draw_affine (true|false)    - Flag to ignore high-order edges

956:   Level: beginner

958:   Notes:

960:   `PetscViewer` = `PETSCVIEWERHDF5` i.e. HDF5 format can be used with `PETSC_VIEWER_HDF5_PETSC` as the `PetscViewerFormat` to save multiple `DMPLEX`
961:   meshes in a single HDF5 file. This in turn requires one to name the `DMPLEX` object with `PetscObjectSetName()`
962:   before saving it with `DMView()` and before loading it with `DMLoad()` for identification of the mesh object.

964:   `PetscViewer` = `PETSCVIEWEREXODUSII` i.e. ExodusII format assumes that element blocks (mapped to "Cell sets" labels)
965:   consists of sequentially numbered cells.

967:   If `dm` has been distributed, only the part of the `DM` on MPI rank 0 (including "ghost" cells and vertices) will be written.

969:   Only TRI, TET, QUAD, and HEX cells are supported in ExodusII.

971:   `DMPLEX` only represents geometry while most post-processing software expect that a mesh also provides information on the discretization space. This function assumes that the file represents Lagrange finite elements of order 1 or 2.
972:   The order of the mesh shall be set using `PetscViewerExodusIISetOrder()`

974:   Variable names can be set and queried using `PetscViewerExodusII[Set/Get][Nodal/Zonal]VariableNames[s]`.

976: .seealso: [](ch_dmbase), `DM`, `PetscViewer`, `PetscViewerFormat`, `PetscViewerSetFormat()`, `DMDestroy()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`, `DMCreateColoring()`, `DMCreateMatrix()`, `DMCreateMassMatrix()`, `DMLoad()`, `PetscObjectSetName()`
977: @*/
978: PetscErrorCode DMView(DM dm, PetscViewer v)
979: {
980:   PetscBool         isbinary;
981:   PetscMPIInt       size;
982:   PetscViewerFormat format;

984:   PetscFunctionBegin;
986:   if (!v) PetscCall(PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)dm), &v));
988:   /* Ideally, we would like to have this test on.
989:      However, it currently breaks socket viz via GLVis.
990:      During DMView(parallel_mesh,glvis_viewer), each
991:      process opens a sequential ASCII socket to visualize
992:      the local mesh, and PetscObjectView(dm,local_socket)
993:      is internally called inside VecView_GLVis, incurring
994:      in an error here */
995:   /* PetscCheckSameComm(dm,1,v,2); */
996:   PetscCall(PetscViewerCheckWritable(v));

998:   PetscCall(PetscLogEventBegin(DM_View, v, 0, 0, 0));
999:   PetscCall(PetscViewerGetFormat(v, &format));
1000:   PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)dm), &size));
1001:   if (size == 1 && format == PETSC_VIEWER_LOAD_BALANCE) PetscFunctionReturn(PETSC_SUCCESS);
1002:   PetscCall(PetscObjectPrintClassNamePrefixType((PetscObject)dm, v));
1003:   PetscCall(PetscObjectTypeCompare((PetscObject)v, PETSCVIEWERBINARY, &isbinary));
1004:   if (isbinary) {
1005:     PetscInt classid = DM_FILE_CLASSID;
1006:     char     type[256];

1008:     PetscCall(PetscViewerBinaryWrite(v, &classid, 1, PETSC_INT));
1009:     PetscCall(PetscStrncpy(type, ((PetscObject)dm)->type_name, sizeof(type)));
1010:     PetscCall(PetscViewerBinaryWrite(v, type, 256, PETSC_CHAR));
1011:   }
1012:   PetscTryTypeMethod(dm, view, v);
1013:   PetscCall(PetscLogEventEnd(DM_View, v, 0, 0, 0));
1014:   PetscFunctionReturn(PETSC_SUCCESS);
1015: }

1017: /*@
1018:   DMCreateGlobalVector - Creates a global vector from a `DM` object. A global vector is a parallel vector that has no duplicate values shared between MPI ranks,
1019:   that is it has no ghost locations.

1021:   Collective

1023:   Input Parameter:
1024: . dm - the `DM` object

1026:   Output Parameter:
1027: . vec - the global vector

1029:   Level: beginner

1031:   Note:
1032:   PETSc `Vec` always have all zero entries when created with `DMCreateGlobalVector()` until routines such as `VecSet()` or `VecSetValues()`
1033:   are used to change the values. There is no reason to call `VecZeroEntries()` after creation.

1035: .seealso: [](ch_dmbase), `DM`, `Vec`, `DMCreateLocalVector()`, `DMGetGlobalVector()`, `DMDestroy()`, `DMView()`, `DMCreateInterpolation()`, `DMCreateColoring()`, `DMCreateMatrix()`,
1036:          `DMGlobalToLocalBegin()`, `DMGlobalToLocalEnd()`
1037: @*/
1038: PetscErrorCode DMCreateGlobalVector(DM dm, Vec *vec)
1039: {
1040:   PetscFunctionBegin;
1042:   PetscAssertPointer(vec, 2);
1043:   PetscUseTypeMethod(dm, createglobalvector, vec);
1044:   if (PetscDefined(USE_DEBUG)) {
1045:     DM vdm;

1047:     PetscCall(VecGetDM(*vec, &vdm));
1048:     PetscCheck(vdm, PETSC_COMM_SELF, PETSC_ERR_PLIB, "DM type '%s' did not attach the DM to the vector", ((PetscObject)dm)->type_name);
1049:   }
1050:   PetscFunctionReturn(PETSC_SUCCESS);
1051: }

1053: /*@
1054:   DMCreateLocalVector - Creates a local vector from a `DM` object.

1056:   Not Collective

1058:   Input Parameter:
1059: . dm - the `DM` object

1061:   Output Parameter:
1062: . vec - the local vector

1064:   Level: beginner

1066:   Notes:
1067:   A local vector usually has ghost locations that contain values that are owned by different MPI ranks. A global vector has no ghost locations.

1069:   PETSc `Vec` always have all zero entries when created with `DMCreateLocalVector()` until routines such as `VecSet()` or `VecSetValues()`
1070:   are used to change the values. There is no reason to call `VecZeroEntries()` after creation.

1072: .seealso: [](ch_dmbase), `DM`, `Vec`, `DMCreateGlobalVector()`, `DMGetLocalVector()`, `DMDestroy()`, `DMView()`, `DMCreateInterpolation()`, `DMCreateColoring()`, `DMCreateMatrix()`,
1073:          `DMGlobalToLocalBegin()`, `DMGlobalToLocalEnd()`
1074: @*/
1075: PetscErrorCode DMCreateLocalVector(DM dm, Vec *vec)
1076: {
1077:   PetscFunctionBegin;
1079:   PetscAssertPointer(vec, 2);
1080:   PetscUseTypeMethod(dm, createlocalvector, vec);
1081:   if (PetscDefined(USE_DEBUG)) {
1082:     DM vdm;

1084:     PetscCall(VecGetDM(*vec, &vdm));
1085:     PetscCheck(vdm, PETSC_COMM_SELF, PETSC_ERR_LIB, "DM type '%s' did not attach the DM to the vector", ((PetscObject)dm)->type_name);
1086:   }
1087:   PetscFunctionReturn(PETSC_SUCCESS);
1088: }

1090: /*@
1091:   DMGetLocalToGlobalMapping - Accesses the local-to-global mapping in a `DM`.

1093:   Collective

1095:   Input Parameter:
1096: . dm - the `DM` that provides the mapping

1098:   Output Parameter:
1099: . ltog - the mapping

1101:   Level: advanced

1103:   Notes:
1104:   The global to local mapping allows one to set values into the global vector or matrix using `VecSetValuesLocal()` and `MatSetValuesLocal()`

1106:   Vectors obtained with  `DMCreateGlobalVector()` and matrices obtained with `DMCreateMatrix()` already contain the global mapping so you do
1107:   need to use this function with those objects.

1109:   This mapping can then be used by `VecSetLocalToGlobalMapping()` or `MatSetLocalToGlobalMapping()`.

1111: .seealso: [](ch_dmbase), `DM`, `DMCreateLocalVector()`, `DMCreateGlobalVector()`, `VecSetLocalToGlobalMapping()`, `MatSetLocalToGlobalMapping()`,
1112:           `DMCreateMatrix()`
1113: @*/
1114: PetscErrorCode DMGetLocalToGlobalMapping(DM dm, ISLocalToGlobalMapping *ltog)
1115: {
1116:   PetscInt bs = -1, bsLocal[2], bsMinMax[2];

1118:   PetscFunctionBegin;
1120:   PetscAssertPointer(ltog, 2);
1121:   if (!dm->ltogmap) {
1122:     PetscSection section, sectionGlobal;

1124:     PetscCall(DMGetLocalSection(dm, &section));
1125:     if (section) {
1126:       const PetscInt *cdofs;
1127:       PetscInt       *ltog;
1128:       PetscInt        pStart, pEnd, n, p, k, l;

1130:       PetscCall(DMGetGlobalSection(dm, &sectionGlobal));
1131:       PetscCall(PetscSectionGetChart(section, &pStart, &pEnd));
1132:       PetscCall(PetscSectionGetStorageSize(section, &n));
1133:       PetscCall(PetscMalloc1(n, &ltog)); /* We want the local+overlap size */
1134:       for (p = pStart, l = 0; p < pEnd; ++p) {
1135:         PetscInt bdof, cdof, dof, off, c, cind;

1137:         /* Should probably use constrained dofs */
1138:         PetscCall(PetscSectionGetDof(section, p, &dof));
1139:         PetscCall(PetscSectionGetConstraintDof(section, p, &cdof));
1140:         PetscCall(PetscSectionGetConstraintIndices(section, p, &cdofs));
1141:         PetscCall(PetscSectionGetOffset(sectionGlobal, p, &off));
1142:         /* If you have dofs, and constraints, and they are unequal, we set the blocksize to 1 */
1143:         bdof = cdof && (dof - cdof) ? 1 : dof;
1144:         if (dof) bs = bs < 0 ? bdof : PetscGCD(bs, bdof);

1146:         for (c = 0, cind = 0; c < dof; ++c, ++l) {
1147:           if (cind < cdof && c == cdofs[cind]) {
1148:             ltog[l] = off < 0 ? off - c : -(off + c + 1);
1149:             cind++;
1150:           } else {
1151:             ltog[l] = (off < 0 ? -(off + 1) : off) + c - cind;
1152:           }
1153:         }
1154:       }
1155:       /* Must have same blocksize on all procs (some might have no points) */
1156:       bsLocal[0] = bs < 0 ? PETSC_INT_MAX : bs;
1157:       bsLocal[1] = bs;
1158:       PetscCall(PetscGlobalMinMaxInt(PetscObjectComm((PetscObject)dm), bsLocal, bsMinMax));
1159:       if (bsMinMax[0] != bsMinMax[1]) {
1160:         bs = 1;
1161:       } else {
1162:         bs = bsMinMax[0];
1163:       }
1164:       bs = bs < 0 ? 1 : bs;
1165:       /* Must reduce indices by blocksize */
1166:       if (bs > 1) {
1167:         for (l = 0, k = 0; l < n; l += bs, ++k) {
1168:           // Integer division of negative values truncates toward zero(!), not toward negative infinity
1169:           ltog[k] = ltog[l] >= 0 ? ltog[l] / bs : -(-(ltog[l] + 1) / bs + 1);
1170:         }
1171:         n /= bs;
1172:       }
1173:       PetscCall(ISLocalToGlobalMappingCreate(PetscObjectComm((PetscObject)dm), bs, n, ltog, PETSC_OWN_POINTER, &dm->ltogmap));
1174:     } else PetscUseTypeMethod(dm, getlocaltoglobalmapping);
1175:   }
1176:   *ltog = dm->ltogmap;
1177:   PetscFunctionReturn(PETSC_SUCCESS);
1178: }

1180: /*@
1181:   DMGetBlockSize - Gets the inherent block size associated with a `DM`

1183:   Not Collective

1185:   Input Parameter:
1186: . dm - the `DM` with block structure

1188:   Output Parameter:
1189: . bs - the block size, 1 implies no exploitable block structure

1191:   Level: intermediate

1193:   Notes:
1194:   This might be the number of degrees of freedom at each grid point for a structured grid.

1196:   Complex `DM` that represent multiphysics or staggered grids or mixed-methods do not generally have a single inherent block size, but
1197:   rather different locations in the vectors may have a different block size.

1199: .seealso: [](ch_dmbase), `DM`, `ISCreateBlock()`, `VecSetBlockSize()`, `MatSetBlockSize()`, `DMGetLocalToGlobalMapping()`
1200: @*/
1201: PetscErrorCode DMGetBlockSize(DM dm, PetscInt *bs)
1202: {
1203:   PetscFunctionBegin;
1205:   PetscAssertPointer(bs, 2);
1206:   PetscCheck(dm->bs >= 1, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "DM does not have enough information to provide a block size yet");
1207:   *bs = dm->bs;
1208:   PetscFunctionReturn(PETSC_SUCCESS);
1209: }

1211: /*@
1212:   DMCreateInterpolation - Gets the interpolation matrix between two `DM` objects. The resulting matrix map degrees of freedom in the vector obtained by
1213:   `DMCreateGlobalVector()` on the coarse `DM` to similar vectors on the fine grid `DM`.

1215:   Collective

1217:   Input Parameters:
1218: + dmc - the `DM` object
1219: - dmf - the second, finer `DM` object

1221:   Output Parameters:
1222: + mat - the interpolation
1223: - vec - the scaling (optional, pass `NULL` if not needed), see `DMCreateInterpolationScale()`

1225:   Level: developer

1227:   Notes:
1228:   For `DMDA` objects this only works for "uniform refinement", that is the refined mesh was obtained `DMRefine()` or the coarse mesh was obtained by
1229:   DMCoarsen(). The coordinates set into the `DMDA` are completely ignored in computing the interpolation.

1231:   For `DMDA` objects you can use this interpolation (more precisely the interpolation from the `DMGetCoordinateDM()`) to interpolate the mesh coordinate
1232:   vectors EXCEPT in the periodic case where it does not make sense since the coordinate vectors are not periodic.

1234: .seealso: [](ch_dmbase), `DM`, `DMDestroy()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateColoring()`, `DMCreateMatrix()`, `DMCreateMassMatrix()`, `DMRefine()`, `DMCoarsen()`, `DMCreateRestriction()`, `DMCreateInterpolationScale()`
1235: @*/
1236: PetscErrorCode DMCreateInterpolation(DM dmc, DM dmf, Mat *mat, Vec *vec)
1237: {
1238:   PetscFunctionBegin;
1241:   PetscAssertPointer(mat, 3);
1242:   PetscCall(PetscLogEventBegin(DM_CreateInterpolation, dmc, dmf, 0, 0));
1243:   PetscUseTypeMethod(dmc, createinterpolation, dmf, mat, vec);
1244:   PetscCall(PetscLogEventEnd(DM_CreateInterpolation, dmc, dmf, 0, 0));
1245:   PetscFunctionReturn(PETSC_SUCCESS);
1246: }

1248: /*@
1249:   DMCreateInterpolationScale - Forms L = 1/(R*1) where 1 is the vector of all ones, and R is
1250:   the transpose of the interpolation between the `DM`.

1252:   Input Parameters:
1253: + dac - `DM` that defines a coarse mesh
1254: . daf - `DM` that defines a fine mesh
1255: - mat - the restriction (or interpolation operator) from fine to coarse

1257:   Output Parameter:
1258: . scale - the scaled vector

1260:   Level: advanced

1262:   Note:
1263:   xcoarse = diag(L)*R*xfine preserves scale and is thus suitable for state (versus residual)
1264:   restriction. In other words xcoarse is the coarse representation of xfine.

1266:   Developer Note:
1267:   If the fine-scale `DMDA` has the -dm_bind_below option set to true, then `DMCreateInterpolationScale()` calls `MatSetBindingPropagates()`
1268:   on the restriction/interpolation operator to set the bindingpropagates flag to true.

1270: .seealso: [](ch_dmbase), `DM`, `MatRestrict()`, `MatInterpolate()`, `DMCreateInterpolation()`, `DMCreateRestriction()`, `DMCreateGlobalVector()`
1271: @*/
1272: PetscErrorCode DMCreateInterpolationScale(DM dac, DM daf, Mat mat, Vec *scale)
1273: {
1274:   Vec         fine;
1275:   PetscScalar one = 1.0;
1276: #if defined(PETSC_HAVE_CUDA)
1277:   PetscBool bindingpropagates, isbound;
1278: #endif

1280:   PetscFunctionBegin;
1281:   PetscCall(DMCreateGlobalVector(daf, &fine));
1282:   PetscCall(DMCreateGlobalVector(dac, scale));
1283:   PetscCall(VecSet(fine, one));
1284: #if defined(PETSC_HAVE_CUDA)
1285:   /* If the 'fine' Vec is bound to the CPU, it makes sense to bind 'mat' as well.
1286:    * Note that we only do this for the CUDA case, right now, but if we add support for MatMultTranspose() via ViennaCL,
1287:    * we'll need to do it for that case, too.*/
1288:   PetscCall(VecGetBindingPropagates(fine, &bindingpropagates));
1289:   if (bindingpropagates) {
1290:     PetscCall(MatSetBindingPropagates(mat, PETSC_TRUE));
1291:     PetscCall(VecBoundToCPU(fine, &isbound));
1292:     PetscCall(MatBindToCPU(mat, isbound));
1293:   }
1294: #endif
1295:   PetscCall(MatRestrict(mat, fine, *scale));
1296:   PetscCall(VecDestroy(&fine));
1297:   PetscCall(VecReciprocal(*scale));
1298:   PetscFunctionReturn(PETSC_SUCCESS);
1299: }

1301: /*@
1302:   DMCreateRestriction - Gets restriction matrix between two `DM` objects. The resulting matrix map degrees of freedom in the vector obtained by
1303:   `DMCreateGlobalVector()` on the fine `DM` to similar vectors on the coarse grid `DM`.

1305:   Collective

1307:   Input Parameters:
1308: + dmc - the `DM` object
1309: - dmf - the second, finer `DM` object

1311:   Output Parameter:
1312: . mat - the restriction

1314:   Level: developer

1316:   Note:
1317:   This only works for `DMSTAG`. For many situations either the transpose of the operator obtained with `DMCreateInterpolation()` or that
1318:   matrix multiplied by the vector obtained with `DMCreateInterpolationScale()` provides the desired object.

1320: .seealso: [](ch_dmbase), `DM`, `DMRestrict()`, `DMInterpolate()`, `DMDestroy()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateColoring()`, `DMCreateMatrix()`, `DMCreateMassMatrix()`, `DMRefine()`, `DMCoarsen()`, `DMCreateInterpolation()`
1321: @*/
1322: PetscErrorCode DMCreateRestriction(DM dmc, DM dmf, Mat *mat)
1323: {
1324:   PetscFunctionBegin;
1327:   PetscAssertPointer(mat, 3);
1328:   PetscCall(PetscLogEventBegin(DM_CreateRestriction, dmc, dmf, 0, 0));
1329:   PetscUseTypeMethod(dmc, createrestriction, dmf, mat);
1330:   PetscCall(PetscLogEventEnd(DM_CreateRestriction, dmc, dmf, 0, 0));
1331:   PetscFunctionReturn(PETSC_SUCCESS);
1332: }

1334: /*@
1335:   DMCreateInjection - Gets injection matrix between two `DM` objects.

1337:   Collective

1339:   Input Parameters:
1340: + dac - the `DM` object
1341: - daf - the second, finer `DM` object

1343:   Output Parameter:
1344: . mat - the injection

1346:   Level: developer

1348:   Notes:
1349:   This is an operator that applied to a vector obtained with `DMCreateGlobalVector()` on the
1350:   fine grid maps the values to a vector on the vector on the coarse `DM` by simply selecting
1351:   the values on the coarse grid points. This compares to the operator obtained by
1352:   `DMCreateRestriction()` or the transpose of the operator obtained by
1353:   `DMCreateInterpolation()` that uses a "local weighted average" of the values around the
1354:   coarse grid point as the coarse grid value.

1356:   For `DMDA` objects this only works for "uniform refinement", that is the refined mesh was obtained `DMRefine()` or the coarse mesh was obtained by
1357:   `DMCoarsen()`. The coordinates set into the `DMDA` are completely ignored in computing the injection.

1359: .seealso: [](ch_dmbase), `DM`, `DMDestroy()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateColoring()`, `DMCreateMatrix()`, `DMCreateMassMatrix()`, `DMCreateInterpolation()`,
1360:           `DMCreateRestriction()`, `MatRestrict()`, `MatInterpolate()`
1361: @*/
1362: PetscErrorCode DMCreateInjection(DM dac, DM daf, Mat *mat)
1363: {
1364:   PetscFunctionBegin;
1367:   PetscAssertPointer(mat, 3);
1368:   PetscCall(PetscLogEventBegin(DM_CreateInjection, dac, daf, 0, 0));
1369:   PetscUseTypeMethod(dac, createinjection, daf, mat);
1370:   PetscCall(PetscLogEventEnd(DM_CreateInjection, dac, daf, 0, 0));
1371:   PetscFunctionReturn(PETSC_SUCCESS);
1372: }

1374: /*@
1375:   DMCreateMassMatrix - Gets the mass matrix between two `DM` objects, M_ij = \int \phi_i \psi_j where the \phi are Galerkin basis functions for a
1376:   a Galerkin finite element model on the `DM`

1378:   Collective

1380:   Input Parameters:
1381: + dmc - the target `DM` object
1382: - dmf - the source `DM` object, can be `NULL`

1384:   Output Parameter:
1385: . mat - the mass matrix

1387:   Level: developer

1389:   Notes:
1390:   For `DMPLEX` the finite element model for the `DM` must have been already provided.

1392:   if `dmc` is `dmf` or `NULL`, then x^t M x is an approximation to the L2 norm of the vector x which is obtained by `DMCreateGlobalVector()`

1394: .seealso: [](ch_dmbase), `DM`, `DMCreateMassMatrixLumped()`, `DMCreateMatrix()`, `DMRefine()`, `DMCoarsen()`, `DMCreateRestriction()`, `DMCreateInterpolation()`, `DMCreateInjection()`
1395: @*/
1396: PetscErrorCode DMCreateMassMatrix(DM dmc, DM dmf, Mat *mat)
1397: {
1398:   PetscFunctionBegin;
1400:   if (!dmf) dmf = dmc;
1402:   PetscAssertPointer(mat, 3);
1403:   PetscCall(PetscLogEventBegin(DM_CreateMassMatrix, dmc, dmf, 0, 0));
1404:   PetscUseTypeMethod(dmc, createmassmatrix, dmf, mat);
1405:   PetscCall(PetscLogEventEnd(DM_CreateMassMatrix, dmc, dmf, 0, 0));
1406:   PetscFunctionReturn(PETSC_SUCCESS);
1407: }

1409: /*@
1410:   DMCreateMassMatrixLumped - Gets the lumped mass matrix for a given `DM`

1412:   Collective

1414:   Input Parameter:
1415: . dm - the `DM` object

1417:   Output Parameters:
1418: + llm - the local lumped mass matrix, which is a diagonal matrix, represented as a vector
1419: - lm  - the global lumped mass matrix, which is a diagonal matrix, represented as a vector

1421:   Level: developer

1423:   Note:
1424:   See `DMCreateMassMatrix()` for how to create the non-lumped version of the mass matrix.

1426: .seealso: [](ch_dmbase), `DM`, `DMCreateMassMatrix()`, `DMCreateMatrix()`, `DMRefine()`, `DMCoarsen()`, `DMCreateRestriction()`, `DMCreateInterpolation()`, `DMCreateInjection()`
1427: @*/
1428: PetscErrorCode DMCreateMassMatrixLumped(DM dm, Vec *llm, Vec *lm)
1429: {
1430:   PetscFunctionBegin;
1432:   if (llm) PetscAssertPointer(llm, 2);
1433:   if (lm) PetscAssertPointer(lm, 3);
1434:   if (llm || lm) PetscUseTypeMethod(dm, createmassmatrixlumped, llm, lm);
1435:   PetscFunctionReturn(PETSC_SUCCESS);
1436: }

1438: /*@
1439:   DMCreateGradientMatrix - Gets the gradient matrix between two `DM` objects, M_(ic)j = \int \partial_c \phi_i \psi_j where the \phi are Galerkin basis functions for a Galerkin finite element model on the `DM`

1441:   Collective

1443:   Input Parameters:
1444: + dmc - the target `DM` object
1445: - dmf - the source `DM` object, can be `NULL`

1447:   Output Parameter:
1448: . mat - the gradient matrix

1450:   Level: developer

1452:   Notes:
1453:   For `DMPLEX` the finite element model for the `DM` must have been already provided.

1455: .seealso: [](ch_dmbase), `DM`, `DMCreateMassMatrix()`, `DMCreateMassMatrixLumped()`, `DMCreateMatrix()`, `DMRefine()`, `DMCoarsen()`, `DMCreateRestriction()`, `DMCreateInterpolation()`, `DMCreateInjection()`
1456: @*/
1457: PetscErrorCode DMCreateGradientMatrix(DM dmc, DM dmf, Mat *mat)
1458: {
1459:   PetscFunctionBegin;
1461:   if (!dmf) dmf = dmc;
1463:   PetscAssertPointer(mat, 3);
1464:   PetscUseTypeMethod(dmc, creategradientmatrix, dmf, mat);
1465:   PetscFunctionReturn(PETSC_SUCCESS);
1466: }

1468: /*@
1469:   DMCreateColoring - Gets coloring of a graph associated with the `DM`. Often the graph represents the operator matrix associated with the discretization
1470:   of a PDE on the `DM`.

1472:   Collective

1474:   Input Parameters:
1475: + dm    - the `DM` object
1476: - ctype - `IS_COLORING_LOCAL` or `IS_COLORING_GLOBAL`

1478:   Output Parameter:
1479: . coloring - the coloring

1481:   Level: developer

1483:   Notes:
1484:   Coloring of matrices can also be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1485:   matrix comes from (what this function provides). In general using the mesh produces a more optimal coloring (fewer colors).

1487:   This produces a coloring with the distance of 2, see `MatSetColoringDistance()` which can be used for efficiently computing Jacobians with `MatFDColoringCreate()`
1488:   For `DMDA` in three dimensions with periodic boundary conditions the number of grid points in each dimension must be divisible by 2*stencil_width + 1,
1489:   otherwise an error will be generated.

1491: .seealso: [](ch_dmbase), `DM`, `ISColoring`, `DMDestroy()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`, `DMCreateMatrix()`, `DMCreateMassMatrix()`, `DMSetMatType()`, `MatColoring`, `MatFDColoringCreate()`
1492: @*/
1493: PetscErrorCode DMCreateColoring(DM dm, ISColoringType ctype, ISColoring *coloring)
1494: {
1495:   PetscFunctionBegin;
1497:   PetscAssertPointer(coloring, 3);
1498:   PetscUseTypeMethod(dm, getcoloring, ctype, coloring);
1499:   PetscFunctionReturn(PETSC_SUCCESS);
1500: }

1502: /*@
1503:   DMCreateMatrix - Gets an empty matrix for a `DM` that is most commonly used to store the Jacobian of a discrete PDE operator.

1505:   Collective

1507:   Input Parameter:
1508: . dm - the `DM` object

1510:   Output Parameter:
1511: . mat - the empty Jacobian

1513:   Options Database Key:
1514: . -dm_preallocate_only - Only preallocate the matrix for `DMCreateMatrix()` and `DMCreateMassMatrix()`, but do not fill it with zeros

1516:   Level: beginner

1518:   Notes:
1519:   This properly preallocates the number of nonzeros in the sparse matrix so you
1520:   do not need to do it yourself.

1522:   By default it also sets the nonzero structure and puts in the zero entries. To prevent setting
1523:   the nonzero pattern call `DMSetMatrixPreallocateOnly()`

1525:   For `DMDA`, when you call `MatView()` on this matrix it is displayed using the global natural ordering, NOT in the ordering used
1526:   internally by PETSc.

1528:   For `DMDA`, in general it is easiest to use `MatSetValuesStencil()` or `MatSetValuesLocal()` to put values into the matrix because
1529:   `MatSetValues()` requires the indices for the global numbering for the `DMDA` which is complic`ated to compute

1531: .seealso: [](ch_dmbase), `DM`, `DMDestroy()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`, `DMSetMatType()`, `DMCreateMassMatrix()`
1532: @*/
1533: PetscErrorCode DMCreateMatrix(DM dm, Mat *mat)
1534: {
1535:   PetscFunctionBegin;
1537:   PetscAssertPointer(mat, 2);
1538:   PetscCall(MatInitializePackage());
1539:   PetscCall(PetscLogEventBegin(DM_CreateMatrix, 0, 0, 0, 0));
1540:   PetscUseTypeMethod(dm, creatematrix, mat);
1541:   if (PetscDefined(USE_DEBUG)) {
1542:     DM mdm;

1544:     PetscCall(MatGetDM(*mat, &mdm));
1545:     PetscCheck(mdm, PETSC_COMM_SELF, PETSC_ERR_PLIB, "DM type '%s' did not attach the DM to the matrix", ((PetscObject)dm)->type_name);
1546:   }
1547:   /* Handle nullspace and near nullspace */
1548:   if (dm->Nf) {
1549:     MatNullSpace nullSpace;
1550:     PetscInt     Nf, f;

1552:     PetscCall(DMGetNumFields(dm, &Nf));
1553:     for (f = 0; f < Nf; ++f) {
1554:       if (dm->nullspaceConstructors && dm->nullspaceConstructors[f]) {
1555:         PetscCall((*dm->nullspaceConstructors[f])(dm, f, f, &nullSpace));
1556:         PetscCall(MatSetNullSpace(*mat, nullSpace));
1557:         PetscCall(MatNullSpaceDestroy(&nullSpace));
1558:         break;
1559:       }
1560:     }
1561:     for (f = 0; f < Nf; ++f) {
1562:       if (dm->nearnullspaceConstructors && dm->nearnullspaceConstructors[f]) {
1563:         PetscCall((*dm->nearnullspaceConstructors[f])(dm, f, f, &nullSpace));
1564:         PetscCall(MatSetNearNullSpace(*mat, nullSpace));
1565:         PetscCall(MatNullSpaceDestroy(&nullSpace));
1566:       }
1567:     }
1568:   }
1569:   PetscCall(PetscLogEventEnd(DM_CreateMatrix, 0, 0, 0, 0));
1570:   PetscFunctionReturn(PETSC_SUCCESS);
1571: }

1573: /*@
1574:   DMSetMatrixPreallocateSkip - When `DMCreateMatrix()` is called the matrix sizes and
1575:   `ISLocalToGlobalMapping` will be properly set, but the data structures to store values in the
1576:   matrices will not be preallocated.

1578:   Logically Collective

1580:   Input Parameters:
1581: + dm   - the `DM`
1582: - skip - `PETSC_TRUE` to skip preallocation

1584:   Level: developer

1586:   Note:
1587:   This is most useful to reduce initialization costs when `MatSetPreallocationCOO()` and
1588:   `MatSetValuesCOO()` will be used.

1590: .seealso: [](ch_dmbase), `DM`, `DMCreateMatrix()`, `DMSetMatrixStructureOnly()`, `DMSetMatrixPreallocateOnly()`
1591: @*/
1592: PetscErrorCode DMSetMatrixPreallocateSkip(DM dm, PetscBool skip)
1593: {
1594:   PetscFunctionBegin;
1596:   dm->prealloc_skip = skip;
1597:   PetscFunctionReturn(PETSC_SUCCESS);
1598: }

1600: /*@
1601:   DMSetMatrixPreallocateOnly - When `DMCreateMatrix()` is called the matrix will be properly
1602:   preallocated but the nonzero structure and zero values will not be set.

1604:   Logically Collective

1606:   Input Parameters:
1607: + dm   - the `DM`
1608: - only - `PETSC_TRUE` if only want preallocation

1610:   Options Database Key:
1611: . -dm_preallocate_only - Only preallocate the matrix for `DMCreateMatrix()`, `DMCreateMassMatrix()`, but do not fill it with zeros

1613:   Level: developer

1615: .seealso: [](ch_dmbase), `DM`, `DMCreateMatrix()`, `DMCreateMassMatrix()`, `DMSetMatrixStructureOnly()`, `DMSetMatrixPreallocateSkip()`
1616: @*/
1617: PetscErrorCode DMSetMatrixPreallocateOnly(DM dm, PetscBool only)
1618: {
1619:   PetscFunctionBegin;
1621:   dm->prealloc_only = only;
1622:   PetscFunctionReturn(PETSC_SUCCESS);
1623: }

1625: /*@
1626:   DMSetMatrixStructureOnly - When `DMCreateMatrix()` is called, the matrix nonzero structure will be created
1627:   but the array for numerical values will not be allocated.

1629:   Logically Collective

1631:   Input Parameters:
1632: + dm   - the `DM`
1633: - only - `PETSC_TRUE` if you only want matrix nonzero structure

1635:   Level: developer

1637: .seealso: [](ch_dmbase), `DM`, `DMCreateMatrix()`, `DMSetMatrixPreallocateOnly()`, `DMSetMatrixPreallocateSkip()`
1638: @*/
1639: PetscErrorCode DMSetMatrixStructureOnly(DM dm, PetscBool only)
1640: {
1641:   PetscFunctionBegin;
1643:   dm->structure_only = only;
1644:   PetscFunctionReturn(PETSC_SUCCESS);
1645: }

1647: /*@
1648:   DMSetBlockingType - set the blocking granularity to be used for variable block size `DMCreateMatrix()` is called

1650:   Logically Collective

1652:   Input Parameters:
1653: + dm    - the `DM`
1654: - btype - block by topological point or field node

1656:   Options Database Key:
1657: . -dm_blocking_type (topological_point|field_node) - use topological point blocking or field node blocking

1659:   Level: advanced

1661: .seealso: [](ch_dmbase), `DM`, `DMCreateMatrix()`, `MatSetVariableBlockSizes()`
1662: @*/
1663: PetscErrorCode DMSetBlockingType(DM dm, DMBlockingType btype)
1664: {
1665:   PetscFunctionBegin;
1667:   dm->blocking_type = btype;
1668:   PetscFunctionReturn(PETSC_SUCCESS);
1669: }

1671: /*@
1672:   DMGetBlockingType - get the blocking granularity to be used for variable block size `DMCreateMatrix()` is called

1674:   Not Collective

1676:   Input Parameter:
1677: . dm - the `DM`

1679:   Output Parameter:
1680: . btype - block by topological point or field node

1682:   Level: advanced

1684: .seealso: [](ch_dmbase), `DM`, `DMCreateMatrix()`, `MatSetVariableBlockSizes()`
1685: @*/
1686: PetscErrorCode DMGetBlockingType(DM dm, DMBlockingType *btype)
1687: {
1688:   PetscFunctionBegin;
1690:   PetscAssertPointer(btype, 2);
1691:   *btype = dm->blocking_type;
1692:   PetscFunctionReturn(PETSC_SUCCESS);
1693: }

1695: /*@C
1696:   DMGetWorkArray - Gets a work array guaranteed to be at least the input size, restore with `DMRestoreWorkArray()`

1698:   Not Collective

1700:   Input Parameters:
1701: + dm    - the `DM` object
1702: . count - The minimum size
1703: - dtype - MPI data type, often `MPIU_REAL`, `MPIU_SCALAR`, or `MPIU_INT`)

1705:   Output Parameter:
1706: . mem - the work array

1708:   Level: developer

1710:   Notes:
1711:   A `DM` may stash the array between instantiations so using this routine may be more efficient than calling `PetscMalloc()`

1713:   The array may contain nonzero values

1715: .seealso: [](ch_dmbase), `DM`, `DMDestroy()`, `DMCreate()`, `DMRestoreWorkArray()`, `PetscMalloc()`
1716: @*/
1717: PetscErrorCode DMGetWorkArray(DM dm, PetscInt count, MPI_Datatype dtype, void *mem)
1718: {
1719:   DMWorkLink  link;
1720:   PetscMPIInt dsize;

1722:   PetscFunctionBegin;
1724:   PetscAssertPointer(mem, 4);
1725:   if (!count) {
1726:     *(void **)mem = NULL;
1727:     PetscFunctionReturn(PETSC_SUCCESS);
1728:   }
1729:   if (dm->workin) {
1730:     link       = dm->workin;
1731:     dm->workin = dm->workin->next;
1732:   } else {
1733:     PetscCall(PetscNew(&link));
1734:   }
1735:   /* Avoid MPI_Type_size for most used datatypes
1736:      Get size directly */
1737:   if (dtype == MPIU_INT) dsize = sizeof(PetscInt);
1738:   else if (dtype == MPIU_REAL) dsize = sizeof(PetscReal);
1739: #if defined(PETSC_USE_64BIT_INDICES)
1740:   else if (dtype == MPI_INT) dsize = sizeof(int);
1741: #endif
1742: #if defined(PETSC_USE_COMPLEX)
1743:   else if (dtype == MPIU_SCALAR) dsize = sizeof(PetscScalar);
1744: #endif
1745:   else PetscCallMPI(MPI_Type_size(dtype, &dsize));

1747:   if (((size_t)dsize * count) > link->bytes) {
1748:     PetscCall(PetscFree(link->mem));
1749:     PetscCall(PetscMalloc(dsize * count, &link->mem));
1750:     link->bytes = dsize * count;
1751:   }
1752:   link->next    = dm->workout;
1753:   dm->workout   = link;
1754:   *(void **)mem = link->mem;
1755:   PetscFunctionReturn(PETSC_SUCCESS);
1756: }

1758: /*@C
1759:   DMRestoreWorkArray - Restores a work array obtained with `DMCreateWorkArray()`

1761:   Not Collective

1763:   Input Parameters:
1764: + dm    - the `DM` object
1765: . count - The minimum size
1766: - dtype - MPI data type, often `MPIU_REAL`, `MPIU_SCALAR`, `MPIU_INT`

1768:   Output Parameter:
1769: . mem - the work array

1771:   Level: developer

1773:   Developer Note:
1774:   count and dtype are ignored, they are only needed for `DMGetWorkArray()`

1776: .seealso: [](ch_dmbase), `DM`, `DMDestroy()`, `DMCreate()`, `DMGetWorkArray()`
1777: @*/
1778: PetscErrorCode DMRestoreWorkArray(DM dm, PetscInt count, MPI_Datatype dtype, void *mem)
1779: {
1780:   DMWorkLink *p, link;

1782:   PetscFunctionBegin;
1783:   PetscAssertPointer(mem, 4);
1784:   (void)count;
1785:   (void)dtype;
1786:   if (!*(void **)mem) PetscFunctionReturn(PETSC_SUCCESS);
1787:   for (p = &dm->workout; (link = *p); p = &link->next) {
1788:     if (link->mem == *(void **)mem) {
1789:       *p            = link->next;
1790:       link->next    = dm->workin;
1791:       dm->workin    = link;
1792:       *(void **)mem = NULL;
1793:       PetscFunctionReturn(PETSC_SUCCESS);
1794:     }
1795:   }
1796:   SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Array was not checked out");
1797: }

1799: /*@C
1800:   DMSetNullSpaceConstructor - Provide a callback function which constructs the nullspace for a given field, defined with `DMAddField()`, when function spaces
1801:   are joined or split, such as in `DMCreateSubDM()`

1803:   Logically Collective; No Fortran Support

1805:   Input Parameters:
1806: + dm     - The `DM`
1807: . field  - The field number for the nullspace
1808: - nullsp - A callback to create the nullspace

1810:   Calling sequence of `nullsp`:
1811: + dm        - The present `DM`
1812: . origField - The field number given above, in the original `DM`
1813: . field     - The field number in dm
1814: - nullSpace - The nullspace for the given field

1816:   Level: intermediate

1818: .seealso: [](ch_dmbase), `DM`, `DMAddField()`, `DMGetNullSpaceConstructor()`, `DMSetNearNullSpaceConstructor()`, `DMGetNearNullSpaceConstructor()`, `DMCreateSubDM()`, `DMCreateSuperDM()`
1819: @*/
1820: PetscErrorCode DMSetNullSpaceConstructor(DM dm, PetscInt field, PetscErrorCode (*nullsp)(DM dm, PetscInt origField, PetscInt field, MatNullSpace *nullSpace))
1821: {
1822:   PetscFunctionBegin;
1824:   PetscCheck(field < dm->Nf, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Cannot handle %" PetscInt_FMT " >= %" PetscInt_FMT " fields", field, dm->Nf);
1825:   PetscCheck(dm->nullspaceConstructors, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Must call DMCreateDS() to setup nullspaces");
1826:   dm->nullspaceConstructors[field] = nullsp;
1827:   PetscFunctionReturn(PETSC_SUCCESS);
1828: }

1830: /*@C
1831:   DMGetNullSpaceConstructor - Return the callback function which constructs the nullspace for a given field, defined with `DMAddField()`

1833:   Not Collective; No Fortran Support

1835:   Input Parameters:
1836: + dm    - The `DM`
1837: - field - The field number for the nullspace

1839:   Output Parameter:
1840: . nullsp - A callback to create the nullspace

1842:   Calling sequence of `nullsp`:
1843: + dm        - The present DM
1844: . origField - The field number given above, in the original DM
1845: . field     - The field number in dm
1846: - nullSpace - The nullspace for the given field

1848:   Level: intermediate

1850: .seealso: [](ch_dmbase), `DM`, `DMAddField()`, `DMGetField()`, `DMSetNullSpaceConstructor()`, `DMSetNearNullSpaceConstructor()`, `DMGetNearNullSpaceConstructor()`, `DMCreateSubDM()`, `DMCreateSuperDM()`
1851: @*/
1852: PetscErrorCode DMGetNullSpaceConstructor(DM dm, PetscInt field, PetscErrorCode (**nullsp)(DM dm, PetscInt origField, PetscInt field, MatNullSpace *nullSpace))
1853: {
1854:   PetscFunctionBegin;
1856:   PetscAssertPointer(nullsp, 3);
1857:   PetscCheck(field < dm->Nf, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Cannot handle %" PetscInt_FMT " >= %" PetscInt_FMT " fields", field, dm->Nf);
1858:   PetscCheck(dm->nullspaceConstructors, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Must call DMCreateDS() to setup nullspaces");
1859:   *nullsp = dm->nullspaceConstructors[field];
1860:   PetscFunctionReturn(PETSC_SUCCESS);
1861: }

1863: /*@C
1864:   DMSetNearNullSpaceConstructor - Provide a callback function which constructs the near-nullspace for a given field, defined with `DMAddField()`

1866:   Logically Collective; No Fortran Support

1868:   Input Parameters:
1869: + dm     - The `DM`
1870: . field  - The field number for the nullspace
1871: - nullsp - A callback to create the near-nullspace

1873:   Calling sequence of `nullsp`:
1874: + dm        - The present `DM`
1875: . origField - The field number given above, in the original `DM`
1876: . field     - The field number in dm
1877: - nullSpace - The nullspace for the given field

1879:   Level: intermediate

1881: .seealso: [](ch_dmbase), `DM`, `DMAddField()`, `DMGetNearNullSpaceConstructor()`, `DMSetNullSpaceConstructor()`, `DMGetNullSpaceConstructor()`, `DMCreateSubDM()`, `DMCreateSuperDM()`,
1882:           `MatNullSpace`
1883: @*/
1884: PetscErrorCode DMSetNearNullSpaceConstructor(DM dm, PetscInt field, PetscErrorCode (*nullsp)(DM dm, PetscInt origField, PetscInt field, MatNullSpace *nullSpace))
1885: {
1886:   PetscFunctionBegin;
1888:   PetscCheck(field < dm->Nf, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Cannot handle %" PetscInt_FMT " >= %" PetscInt_FMT " fields", field, dm->Nf);
1889:   PetscCheck(dm->nearnullspaceConstructors, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Must call DMCreateDS() to setup nullspaces");
1890:   dm->nearnullspaceConstructors[field] = nullsp;
1891:   PetscFunctionReturn(PETSC_SUCCESS);
1892: }

1894: /*@C
1895:   DMGetNearNullSpaceConstructor - Return the callback function which constructs the near-nullspace for a given field, defined with `DMAddField()`

1897:   Not Collective; No Fortran Support

1899:   Input Parameters:
1900: + dm    - The `DM`
1901: - field - The field number for the nullspace

1903:   Output Parameter:
1904: . nullsp - A callback to create the near-nullspace

1906:   Calling sequence of `nullsp`:
1907: + dm        - The present `DM`
1908: . origField - The field number given above, in the original `DM`
1909: . field     - The field number in dm
1910: - nullSpace - The nullspace for the given field

1912:   Level: intermediate

1914: .seealso: [](ch_dmbase), `DM`, `DMAddField()`, `DMGetField()`, `DMSetNearNullSpaceConstructor()`, `DMSetNullSpaceConstructor()`, `DMGetNullSpaceConstructor()`, `DMCreateSubDM()`,
1915:           `MatNullSpace`, `DMCreateSuperDM()`
1916: @*/
1917: PetscErrorCode DMGetNearNullSpaceConstructor(DM dm, PetscInt field, PetscErrorCode (**nullsp)(DM dm, PetscInt origField, PetscInt field, MatNullSpace *nullSpace))
1918: {
1919:   PetscFunctionBegin;
1921:   PetscAssertPointer(nullsp, 3);
1922:   PetscCheck(field < dm->Nf, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Cannot handle %" PetscInt_FMT " >= %" PetscInt_FMT " fields", field, dm->Nf);
1923:   PetscCheck(dm->nearnullspaceConstructors, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Must call DMCreateDS() to setup nullspaces");
1924:   *nullsp = dm->nearnullspaceConstructors[field];
1925:   PetscFunctionReturn(PETSC_SUCCESS);
1926: }

1928: /*@C
1929:   DMCreateFieldIS - Creates a set of `IS` objects with the global indices of dofs for each field defined with `DMAddField()`

1931:   Not Collective; No Fortran Support

1933:   Input Parameter:
1934: . dm - the `DM` object

1936:   Output Parameters:
1937: + numFields  - The number of fields (or `NULL` if not requested)
1938: . fieldNames - The name of each field (or `NULL` if not requested)
1939: - fields     - The global indices for each field (or `NULL` if not requested)

1941:   Level: intermediate

1943:   Note:
1944:   The user is responsible for freeing all requested arrays. In particular, every entry of `fieldNames` should be freed with
1945:   `PetscFree()`, every entry of `fields` should be destroyed with `ISDestroy()`, and both arrays should be freed with
1946:   `PetscFree()`.

1948:   Developer Note:
1949:   It is not clear why both this function and `DMCreateFieldDecomposition()` exist. Having two seems redundant and confusing. This function should
1950:   likely be removed.

1952: .seealso: [](ch_dmbase), `DM`, `DMAddField()`, `DMGetField()`, `DMDestroy()`, `DMView()`, `DMCreateInterpolation()`, `DMCreateColoring()`, `DMCreateMatrix()`,
1953:           `DMCreateFieldDecomposition()`
1954: @*/
1955: PetscErrorCode DMCreateFieldIS(DM dm, PetscInt *numFields, char ***fieldNames, IS *fields[])
1956: {
1957:   PetscSection section, sectionGlobal;

1959:   PetscFunctionBegin;
1961:   if (numFields) {
1962:     PetscAssertPointer(numFields, 2);
1963:     *numFields = 0;
1964:   }
1965:   if (fieldNames) {
1966:     PetscAssertPointer(fieldNames, 3);
1967:     *fieldNames = NULL;
1968:   }
1969:   if (fields) {
1970:     PetscAssertPointer(fields, 4);
1971:     *fields = NULL;
1972:   }
1973:   PetscCall(DMGetLocalSection(dm, &section));
1974:   if (section) {
1975:     PetscInt *fieldSizes, *fieldNc, **fieldIndices;
1976:     PetscInt  nF, f, pStart, pEnd, p;

1978:     PetscCall(DMGetGlobalSection(dm, &sectionGlobal));
1979:     PetscCall(PetscSectionGetNumFields(section, &nF));
1980:     PetscCall(PetscMalloc3(nF, &fieldSizes, nF, &fieldNc, nF, &fieldIndices));
1981:     PetscCall(PetscSectionGetChart(sectionGlobal, &pStart, &pEnd));
1982:     for (f = 0; f < nF; ++f) {
1983:       fieldSizes[f] = 0;
1984:       PetscCall(PetscSectionGetFieldComponents(section, f, &fieldNc[f]));
1985:     }
1986:     for (p = pStart; p < pEnd; ++p) {
1987:       PetscInt gdof;

1989:       PetscCall(PetscSectionGetDof(sectionGlobal, p, &gdof));
1990:       if (gdof > 0) {
1991:         for (f = 0; f < nF; ++f) {
1992:           PetscInt fdof, fcdof, fpdof;

1994:           PetscCall(PetscSectionGetFieldDof(section, p, f, &fdof));
1995:           PetscCall(PetscSectionGetFieldConstraintDof(section, p, f, &fcdof));
1996:           fpdof = fdof - fcdof;
1997:           if (fpdof && fpdof != fieldNc[f]) {
1998:             /* Layout does not admit a pointwise block size */
1999:             fieldNc[f] = 1;
2000:           }
2001:           fieldSizes[f] += fpdof;
2002:         }
2003:       }
2004:     }
2005:     for (f = 0; f < nF; ++f) {
2006:       PetscCall(PetscMalloc1(fieldSizes[f], &fieldIndices[f]));
2007:       fieldSizes[f] = 0;
2008:     }
2009:     for (p = pStart; p < pEnd; ++p) {
2010:       PetscInt gdof, goff;

2012:       PetscCall(PetscSectionGetDof(sectionGlobal, p, &gdof));
2013:       if (gdof > 0) {
2014:         PetscCall(PetscSectionGetOffset(sectionGlobal, p, &goff));
2015:         for (f = 0; f < nF; ++f) {
2016:           PetscInt fdof, fcdof, fc;

2018:           PetscCall(PetscSectionGetFieldDof(section, p, f, &fdof));
2019:           PetscCall(PetscSectionGetFieldConstraintDof(section, p, f, &fcdof));
2020:           for (fc = 0; fc < fdof - fcdof; ++fc, ++fieldSizes[f]) fieldIndices[f][fieldSizes[f]] = goff++;
2021:         }
2022:       }
2023:     }
2024:     if (numFields) *numFields = nF;
2025:     if (fieldNames) {
2026:       PetscCall(PetscMalloc1(nF, fieldNames));
2027:       for (f = 0; f < nF; ++f) {
2028:         const char *fieldName;

2030:         PetscCall(PetscSectionGetFieldName(section, f, &fieldName));
2031:         PetscCall(PetscStrallocpy(fieldName, &(*fieldNames)[f]));
2032:       }
2033:     }
2034:     if (fields) {
2035:       PetscCall(PetscMalloc1(nF, fields));
2036:       for (f = 0; f < nF; ++f) {
2037:         PetscInt bs, in[2], out[2];

2039:         PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)dm), fieldSizes[f], fieldIndices[f], PETSC_OWN_POINTER, &(*fields)[f]));
2040:         in[0] = -fieldNc[f];
2041:         in[1] = fieldNc[f];
2042:         PetscCallMPI(MPIU_Allreduce(in, out, 2, MPIU_INT, MPI_MAX, PetscObjectComm((PetscObject)dm)));
2043:         bs = (-out[0] == out[1]) ? out[1] : 1;
2044:         PetscCall(ISSetBlockSize((*fields)[f], bs));
2045:       }
2046:     }
2047:     PetscCall(PetscFree3(fieldSizes, fieldNc, fieldIndices));
2048:   } else PetscTryTypeMethod(dm, createfieldis, numFields, fieldNames, fields);
2049:   PetscFunctionReturn(PETSC_SUCCESS);
2050: }

2052: /*@C
2053:   DMCreateFieldDecomposition - Returns a list of `IS` objects defining a decomposition of a problem into subproblems
2054:   corresponding to different fields.

2056:   Not Collective; No Fortran Support

2058:   Input Parameter:
2059: . dm - the `DM` object

2061:   Output Parameters:
2062: + len      - The number of fields (or `NULL` if not requested)
2063: . namelist - The name for each field (or `NULL` if not requested)
2064: . islist   - The global indices for each field (or `NULL` if not requested)
2065: - dmlist   - The `DM`s for each field subproblem (or `NULL`, if not requested; if `NULL` is returned, no `DM`s are defined)

2067:   Level: intermediate

2069:   Notes:
2070:   Each `IS` contains the global indices of the dofs of the corresponding field, defined by
2071:   `DMAddField()`. The optional list of `DM`s define the `DM` for each subproblem.

2073:   The same as `DMCreateFieldIS()` but also returns a `DM` for each field.

2075:   The user is responsible for freeing all requested arrays. In particular, every entry of `namelist` should be freed with
2076:   `PetscFree()`, every entry of `islist` should be destroyed with `ISDestroy()`, every entry of `dmlist` should be destroyed with `DMDestroy()`,
2077:   and all of the arrays should be freed with `PetscFree()`.

2079:   Fortran Notes:
2080:   Use the declarations
2081: .vb
2082:   character(80), pointer :: namelist(:)
2083:   IS, pointer :: islist(:)
2084:   DM, pointer :: dmlist(:)
2085: .ve

2087:   `namelist` must be provided, `islist` may be `PETSC_NULL_IS_POINTER` and `dmlist` may be `PETSC_NULL_DM_POINTER`

2089:   Use `DMDestroyFieldDecomposition()` to free the returned objects

2091:   Developer Notes:
2092:   It is not clear why this function and `DMCreateFieldIS()` exist. Having two seems redundant and confusing.

2094:   Unlike  `DMRefine()`, `DMCoarsen()`, and `DMCreateDomainDecomposition()` this provides no mechanism to provide hooks that are called after the
2095:   decomposition is computed.

2097: .seealso: [](ch_dmbase), `DM`, `DMAddField()`, `DMCreateFieldIS()`, `DMCreateSubDM()`, `DMCreateDomainDecomposition()`, `DMDestroy()`, `DMView()`, `DMCreateInterpolation()`, `DMCreateColoring()`, `DMCreateMatrix()`, `DMCreateMassMatrix()`, `DMRefine()`, `DMCoarsen()`
2098: @*/
2099: PetscErrorCode DMCreateFieldDecomposition(DM dm, PetscInt *len, char ***namelist, IS *islist[], DM *dmlist[])
2100: {
2101:   PetscFunctionBegin;
2103:   if (len) {
2104:     PetscAssertPointer(len, 2);
2105:     *len = 0;
2106:   }
2107:   if (namelist) {
2108:     PetscAssertPointer(namelist, 3);
2109:     *namelist = NULL;
2110:   }
2111:   if (islist) {
2112:     PetscAssertPointer(islist, 4);
2113:     *islist = NULL;
2114:   }
2115:   if (dmlist) {
2116:     PetscAssertPointer(dmlist, 5);
2117:     *dmlist = NULL;
2118:   }
2119:   /*
2120:    Is it a good idea to apply the following check across all impls?
2121:    Perhaps some impls can have a well-defined decomposition before DMSetUp?
2122:    This, however, follows the general principle that accessors are not well-behaved until the object is set up.
2123:    */
2124:   PetscCheck(dm->setupcalled, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONGSTATE, "Decomposition defined only after DMSetUp");
2125:   if (!dm->ops->createfielddecomposition) {
2126:     PetscSection section;
2127:     PetscInt     numFields, f;

2129:     PetscCall(DMGetLocalSection(dm, &section));
2130:     if (section) PetscCall(PetscSectionGetNumFields(section, &numFields));
2131:     if (section && numFields && dm->ops->createsubdm) {
2132:       if (len) *len = numFields;
2133:       if (namelist) PetscCall(PetscMalloc1(numFields, namelist));
2134:       if (islist) PetscCall(PetscMalloc1(numFields, islist));
2135:       if (dmlist) PetscCall(PetscMalloc1(numFields, dmlist));
2136:       for (f = 0; f < numFields; ++f) {
2137:         const char *fieldName;

2139:         PetscCall(DMCreateSubDM(dm, 1, &f, islist ? &(*islist)[f] : NULL, dmlist ? &(*dmlist)[f] : NULL));
2140:         if (namelist) {
2141:           PetscCall(PetscSectionGetFieldName(section, f, &fieldName));
2142:           PetscCall(PetscStrallocpy(fieldName, &(*namelist)[f]));
2143:         }
2144:       }
2145:     } else {
2146:       PetscCall(DMCreateFieldIS(dm, len, namelist, islist));
2147:       /* By default there are no DMs associated with subproblems. */
2148:       if (dmlist) *dmlist = NULL;
2149:     }
2150:   } else PetscUseTypeMethod(dm, createfielddecomposition, len, namelist, islist, dmlist);
2151:   PetscFunctionReturn(PETSC_SUCCESS);
2152: }

2154: /*@
2155:   DMCreateSubDM - Returns an `IS` and `DM` encapsulating a subproblem defined by the fields passed in.
2156:   The fields are defined by `DMCreateFieldIS()`.

2158:   Not collective

2160:   Input Parameters:
2161: + dm        - The `DM` object
2162: . numFields - The number of fields to select
2163: - fields    - The field numbers of the selected fields

2165:   Output Parameters:
2166: + is    - The global indices for all the degrees of freedom in the new sub `DM`, use `NULL` if not needed
2167: - subdm - The `DM` for the subproblem, use `NULL` if not needed

2169:   Level: intermediate

2171:   Note:
2172:   You need to call `DMPlexSetMigrationSF()` on the original `DM` if you want the Global-To-Natural map to be automatically constructed

2174: .seealso: [](ch_dmbase), `DM`, `DMCreateFieldIS()`, `DMCreateFieldDecomposition()`, `DMAddField()`, `DMCreateSuperDM()`, `IS`, `VecISCopy()`, `DMPlexSetMigrationSF()`, `DMDestroy()`, `DMView()`, `DMCreateInterpolation()`, `DMCreateColoring()`, `DMCreateMatrix()`, `DMCreateMassMatrix()`
2175: @*/
2176: PetscErrorCode DMCreateSubDM(DM dm, PetscInt numFields, const PetscInt fields[], IS *is, DM *subdm)
2177: {
2178:   PetscFunctionBegin;
2180:   PetscAssertPointer(fields, 3);
2181:   if (is) PetscAssertPointer(is, 4);
2182:   if (subdm) PetscAssertPointer(subdm, 5);
2183:   PetscUseTypeMethod(dm, createsubdm, numFields, fields, is, subdm);
2184:   PetscFunctionReturn(PETSC_SUCCESS);
2185: }

2187: /*@C
2188:   DMCreateSuperDM - Returns an arrays of `IS` and a single `DM` encapsulating a superproblem defined by multiple `DM`s passed in.

2190:   Not collective

2192:   Input Parameters:
2193: + dms - The `DM` objects
2194: - n   - The number of `DM`s

2196:   Output Parameters:
2197: + is      - The global indices for each of subproblem within the super `DM`, or `NULL`, its length is `n`
2198: - superdm - The `DM` for the superproblem

2200:   Level: intermediate

2202:   Note:
2203:   You need to call `DMPlexSetMigrationSF()` on the original `DM` if you want the Global-To-Natural map to be automatically constructed

2205: .seealso: [](ch_dmbase), `DM`, `DMCreateSubDM()`, `DMPlexSetMigrationSF()`, `DMDestroy()`, `DMView()`, `DMCreateInterpolation()`, `DMCreateColoring()`, `DMCreateMatrix()`, `DMCreateMassMatrix()`, `DMCreateFieldIS()`, `DMCreateDomainDecomposition()`
2206: @*/
2207: PetscErrorCode DMCreateSuperDM(DM dms[], PetscInt n, IS *is[], DM *superdm)
2208: {
2209:   PetscInt i;

2211:   PetscFunctionBegin;
2212:   PetscAssertPointer(dms, 1);
2214:   if (is) PetscAssertPointer(is, 3);
2215:   PetscAssertPointer(superdm, 4);
2216:   PetscCheck(n >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Number of DMs must be nonnegative: %" PetscInt_FMT, n);
2217:   if (n) {
2218:     DM dm = dms[0];
2219:     PetscCheck(dm->ops->createsuperdm, PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "No method createsuperdm for DM of type %s", ((PetscObject)dm)->type_name);
2220:     PetscCall((*dm->ops->createsuperdm)(dms, n, is, superdm));
2221:   }
2222:   PetscFunctionReturn(PETSC_SUCCESS);
2223: }

2225: /*@C
2226:   DMCreateDomainDecomposition - Returns lists of `IS` objects defining a decomposition of a
2227:   problem into subproblems corresponding to restrictions to pairs of nested subdomains.

2229:   Not Collective

2231:   Input Parameter:
2232: . dm - the `DM` object

2234:   Output Parameters:
2235: + n           - The number of subproblems in the domain decomposition (or `NULL` if not requested), also the length of the four arrays below
2236: . namelist    - The name for each subdomain (or `NULL` if not requested)
2237: . innerislist - The global indices for each inner subdomain (or `NULL`, if not requested)
2238: . outerislist - The global indices for each outer subdomain (or `NULL`, if not requested)
2239: - dmlist      - The `DM`s for each subdomain subproblem (or `NULL`, if not requested; if `NULL` is returned, no `DM`s are defined)

2241:   Level: intermediate

2243:   Notes:
2244:   Each `IS` contains the global indices of the dofs of the corresponding subdomains with in the
2245:   dofs of the original `DM`. The inner subdomains conceptually define a nonoverlapping
2246:   covering, while outer subdomains can overlap.

2248:   The optional list of `DM`s define a `DM` for each subproblem.

2250:   The user is responsible for freeing all requested arrays. In particular, every entry of `namelist` should be freed with
2251:   `PetscFree()`, every entry of `innerislist` and `outerislist` should be destroyed with `ISDestroy()`, every entry of `dmlist` should be destroyed with `DMDestroy()`,
2252:   and all of the arrays should be freed with `PetscFree()`.

2254:   Developer Notes:
2255:   The `dmlist` is for the inner subdomains or the outer subdomains or all subdomains?

2257:   The names are inconsistent, the hooks use `DMSubDomainHook` which is nothing like `DMCreateDomainDecomposition()` while `DMRefineHook` is used for `DMRefine()`.

2259: .seealso: [](ch_dmbase), `DM`, `DMCreateFieldDecomposition()`, `DMDestroy()`, `DMCreateDomainDecompositionScatters()`, `DMView()`, `DMCreateInterpolation()`,
2260:           `DMSubDomainHookAdd()`, `DMSubDomainHookRemove()`, `DMCreateColoring()`, `DMCreateMatrix()`, `DMCreateMassMatrix()`, `DMRefine()`, `DMCoarsen()`
2261: @*/
2262: PetscErrorCode DMCreateDomainDecomposition(DM dm, PetscInt *n, char **namelist[], IS *innerislist[], IS *outerislist[], DM *dmlist[])
2263: {
2264:   DMSubDomainHookLink link;
2265:   PetscInt            i, l;

2267:   PetscFunctionBegin;
2269:   if (n) {
2270:     PetscAssertPointer(n, 2);
2271:     *n = 0;
2272:   }
2273:   if (namelist) {
2274:     PetscAssertPointer(namelist, 3);
2275:     *namelist = NULL;
2276:   }
2277:   if (innerislist) {
2278:     PetscAssertPointer(innerislist, 4);
2279:     *innerislist = NULL;
2280:   }
2281:   if (outerislist) {
2282:     PetscAssertPointer(outerislist, 5);
2283:     *outerislist = NULL;
2284:   }
2285:   if (dmlist) {
2286:     PetscAssertPointer(dmlist, 6);
2287:     *dmlist = NULL;
2288:   }
2289:   /*
2290:    Is it a good idea to apply the following check across all impls?
2291:    Perhaps some impls can have a well-defined decomposition before DMSetUp?
2292:    This, however, follows the general principle that accessors are not well-behaved until the object is set up.
2293:    */
2294:   PetscCheck(dm->setupcalled, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONGSTATE, "Decomposition defined only after DMSetUp");
2295:   if (dm->ops->createdomaindecomposition) {
2296:     PetscUseTypeMethod(dm, createdomaindecomposition, &l, namelist, innerislist, outerislist, dmlist);
2297:     /* copy subdomain hooks and context over to the subdomain DMs */
2298:     if (dmlist && *dmlist) {
2299:       for (i = 0; i < l; i++) {
2300:         for (link = dm->subdomainhook; link; link = link->next) {
2301:           if (link->ddhook) PetscCall((*link->ddhook)(dm, (*dmlist)[i], link->ctx));
2302:         }
2303:         if (dm->ctx) (*dmlist)[i]->ctx = dm->ctx;
2304:       }
2305:     }
2306:     if (n) *n = l;
2307:   }
2308:   PetscFunctionReturn(PETSC_SUCCESS);
2309: }

2311: /*@C
2312:   DMCreateDomainDecompositionScatters - Returns scatters to the subdomain vectors from the global vector for subdomains created with
2313:   `DMCreateDomainDecomposition()`

2315:   Not Collective

2317:   Input Parameters:
2318: + dm     - the `DM` object
2319: . n      - the number of subdomains
2320: - subdms - the local subdomains

2322:   Output Parameters:
2323: + iscat - scatter from global vector to nonoverlapping global vector entries on subdomain
2324: . oscat - scatter from global vector to overlapping global vector entries on subdomain
2325: - gscat - scatter from global vector to local vector on subdomain (fills in ghosts)

2327:   Level: developer

2329:   Note:
2330:   This is an alternative to the `iis` and `ois` arguments in `DMCreateDomainDecomposition()` that allow for the solution
2331:   of general nonlinear problems with overlapping subdomain methods.  While merely having index sets that enable subsets
2332:   of the residual equations to be created is fine for linear problems, nonlinear problems require local assembly of
2333:   solution and residual data.

2335:   Developer Note:
2336:   Can the `subdms` input be anything or are they exactly the `DM` obtained from
2337:   `DMCreateDomainDecomposition()`?

2339: .seealso: [](ch_dmbase), `DM`, `DMCreateDomainDecomposition()`, `DMDestroy()`, `DMView()`, `DMCreateInterpolation()`, `DMCreateColoring()`, `DMCreateMatrix()`, `DMCreateMassMatrix()`, `DMCreateFieldIS()`
2340: @*/
2341: PetscErrorCode DMCreateDomainDecompositionScatters(DM dm, PetscInt n, DM subdms[], VecScatter *iscat[], VecScatter *oscat[], VecScatter *gscat[])
2342: {
2343:   PetscFunctionBegin;
2345:   PetscAssertPointer(subdms, 3);
2346:   PetscUseTypeMethod(dm, createddscatters, n, subdms, iscat, oscat, gscat);
2347:   PetscFunctionReturn(PETSC_SUCCESS);
2348: }

2350: /*@
2351:   DMRefine - Refines a `DM` object using a standard nonadaptive refinement of the underlying mesh

2353:   Collective

2355:   Input Parameters:
2356: + dm   - the `DM` object
2357: - comm - the communicator to contain the new `DM` object (or `MPI_COMM_NULL`)

2359:   Output Parameter:
2360: . dmf - the refined `DM`, or `NULL`

2362:   Options Database Key:
2363: . -dm_plex_cell_refiner strategy - chooses the refinement strategy, e.g. regular, tohex

2365:   Level: developer

2367:   Note:
2368:   If no refinement was done, the return value is `NULL`

2370: .seealso: [](ch_dmbase), `DM`, `DMCoarsen()`, `DMDestroy()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`, `DMCreateDomainDecomposition()`,
2371:           `DMRefineHookAdd()`, `DMRefineHookRemove()`
2372: @*/
2373: PetscErrorCode DMRefine(DM dm, MPI_Comm comm, DM *dmf)
2374: {
2375:   DMRefineHookLink link;

2377:   PetscFunctionBegin;
2379:   PetscCall(PetscLogEventBegin(DM_Refine, dm, 0, 0, 0));
2380:   PetscUseTypeMethod(dm, refine, comm, dmf);
2381:   if (*dmf) {
2382:     (*dmf)->ops->creatematrix = dm->ops->creatematrix;

2384:     PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)dm, (PetscObject)*dmf));

2386:     (*dmf)->ctx       = dm->ctx;
2387:     (*dmf)->leveldown = dm->leveldown;
2388:     (*dmf)->levelup   = dm->levelup + 1;

2390:     PetscCall(DMSetMatType(*dmf, dm->mattype));
2391:     for (link = dm->refinehook; link; link = link->next) {
2392:       if (link->refinehook) PetscCall((*link->refinehook)(dm, *dmf, link->ctx));
2393:     }
2394:   }
2395:   PetscCall(PetscLogEventEnd(DM_Refine, dm, 0, 0, 0));
2396:   PetscFunctionReturn(PETSC_SUCCESS);
2397: }

2399: /*@C
2400:   DMRefineHookAdd - adds a callback to be run when interpolating a nonlinear problem to a finer grid

2402:   Logically Collective; No Fortran Support

2404:   Input Parameters:
2405: + coarse     - `DM` on which to run a hook when interpolating to a finer level
2406: . refinehook - function to run when setting up the finer level
2407: . interphook - function to run to update data on finer levels (once per `SNESSolve()`)
2408: - ctx        - [optional] context for provide data for the hooks (may be `NULL`)

2410:   Calling sequence of `refinehook`:
2411: + coarse - coarse level `DM`
2412: . fine   - fine level `DM` to interpolate problem to
2413: - ctx    - optional function context

2415:   Calling sequence of `interphook`:
2416: + coarse - coarse level `DM`
2417: . interp - matrix interpolating a coarse-level solution to the finer grid
2418: . fine   - fine level `DM` to update
2419: - ctx    - optional function context

2421:   Level: advanced

2423:   Notes:
2424:   This function is only needed if auxiliary data that is attached to the `DM`s via, for example, `PetscObjectCompose()`, needs to be
2425:   passed to fine grids while grid sequencing.

2427:   The actual interpolation is done when `DMInterpolate()` is called.

2429:   If this function is called multiple times, the hooks will be run in the order they are added.

2431: .seealso: [](ch_dmbase), `DM`, `DMCoarsenHookAdd()`, `DMInterpolate()`, `SNESFASGetInterpolation()`, `SNESFASGetInjection()`, `PetscObjectCompose()`, `PetscContainerCreate()`
2432: @*/
2433: PetscErrorCode DMRefineHookAdd(DM coarse, PetscErrorCode (*refinehook)(DM coarse, DM fine, PetscCtx ctx), PetscErrorCode (*interphook)(DM coarse, Mat interp, DM fine, PetscCtx ctx), PetscCtx ctx)
2434: {
2435:   DMRefineHookLink link, *p;

2437:   PetscFunctionBegin;
2439:   for (p = &coarse->refinehook; *p; p = &(*p)->next) { /* Scan to the end of the current list of hooks */
2440:     if ((*p)->refinehook == refinehook && (*p)->interphook == interphook && (*p)->ctx == ctx) PetscFunctionReturn(PETSC_SUCCESS);
2441:   }
2442:   PetscCall(PetscNew(&link));
2443:   link->refinehook = refinehook;
2444:   link->interphook = interphook;
2445:   link->ctx        = ctx;
2446:   link->next       = NULL;
2447:   *p               = link;
2448:   PetscFunctionReturn(PETSC_SUCCESS);
2449: }

2451: /*@C
2452:   DMRefineHookRemove - remove a callback from the list of hooks, that have been set with `DMRefineHookAdd()`, to be run when interpolating
2453:   a nonlinear problem to a finer grid

2455:   Logically Collective; No Fortran Support

2457:   Input Parameters:
2458: + coarse     - the `DM` on which to run a hook when restricting to a coarser level
2459: . refinehook - function to run when setting up a finer level
2460: . interphook - function to run to update data on finer levels
2461: - ctx        - [optional] application context for provide data for the hooks (may be `NULL`)

2463:   Calling sequence of refinehook:
2464: + coarse - the coarse `DM`
2465: . fine   - the fine `DM`
2466: - ctx    - context for the function

2468:   Calling sequence of interphook:
2469: + coarse - the coarse `DM`
2470: . interp - the interpolation `Mat` from coarse to fine
2471: . fine   - the fine `DM`
2472: - ctx    - context for the function

2474:   Level: advanced

2476:   Note:
2477:   This function does nothing if the hook is not in the list.

2479: .seealso: [](ch_dmbase), `DM`, `DMRefineHookAdd()`, `DMCoarsenHookRemove()`, `DMInterpolate()`, `SNESFASGetInterpolation()`, `SNESFASGetInjection()`, `PetscObjectCompose()`, `PetscContainerCreate()`
2480: @*/
2481: PetscErrorCode DMRefineHookRemove(DM coarse, PetscErrorCode (*refinehook)(DM coarse, DM fine, PetscCtx ctx), PetscErrorCode (*interphook)(DM coarse, Mat interp, DM fine, PetscCtx ctx), PetscCtx ctx)
2482: {
2483:   DMRefineHookLink link, *p;

2485:   PetscFunctionBegin;
2487:   for (p = &coarse->refinehook; *p; p = &(*p)->next) { /* Search the list of current hooks */
2488:     if ((*p)->refinehook == refinehook && (*p)->interphook == interphook && (*p)->ctx == ctx) {
2489:       link = *p;
2490:       *p   = link->next;
2491:       PetscCall(PetscFree(link));
2492:       break;
2493:     }
2494:   }
2495:   PetscFunctionReturn(PETSC_SUCCESS);
2496: }

2498: /*@
2499:   DMInterpolate - interpolates user-defined problem data attached to a `DM` to a finer `DM` by running hooks registered by `DMRefineHookAdd()`

2501:   Collective if any hooks are

2503:   Input Parameters:
2504: + coarse - coarser `DM` to use as a base
2505: . interp - interpolation matrix, apply using `MatInterpolate()`
2506: - fine   - finer `DM` to update

2508:   Level: developer

2510:   Developer Note:
2511:   This routine is called `DMInterpolate()` while the hook is called `DMRefineHookAdd()`. It would be better to have an
2512:   an API with consistent terminology.

2514: .seealso: [](ch_dmbase), `DM`, `DMRefineHookAdd()`, `MatInterpolate()`
2515: @*/
2516: PetscErrorCode DMInterpolate(DM coarse, Mat interp, DM fine)
2517: {
2518:   DMRefineHookLink link;

2520:   PetscFunctionBegin;
2521:   for (link = fine->refinehook; link; link = link->next) {
2522:     if (link->interphook) PetscCall((*link->interphook)(coarse, interp, fine, link->ctx));
2523:   }
2524:   PetscFunctionReturn(PETSC_SUCCESS);
2525: }

2527: /*@
2528:   DMInterpolateSolution - Interpolates a solution from a coarse mesh to a fine mesh.

2530:   Collective

2532:   Input Parameters:
2533: + coarse    - coarse `DM`
2534: . fine      - fine `DM`
2535: . interp    - (optional) the matrix computed by `DMCreateInterpolation()`.  Implementations may not need this, but if it
2536:             is available it can avoid some recomputation.  If it is provided, `MatInterpolate()` will be used if
2537:             the coarse `DM` does not have a specialized implementation.
2538: - coarseSol - solution on the coarse mesh

2540:   Output Parameter:
2541: . fineSol - the interpolation of coarseSol to the fine mesh

2543:   Level: developer

2545:   Note:
2546:   This function exists because the interpolation of a solution vector between meshes is not always a linear
2547:   map.  For example, if a boundary value problem has an inhomogeneous Dirichlet boundary condition that is compressed
2548:   out of the solution vector.  Or if interpolation is inherently a nonlinear operation, such as a method using
2549:   slope-limiting reconstruction.

2551:   Developer Note:
2552:   This doesn't just interpolate "solutions" so its API name is questionable.

2554: .seealso: [](ch_dmbase), `DM`, `DMInterpolate()`, `DMCreateInterpolation()`
2555: @*/
2556: PetscErrorCode DMInterpolateSolution(DM coarse, DM fine, Mat interp, Vec coarseSol, Vec fineSol)
2557: {
2558:   PetscErrorCode (*interpsol)(DM, DM, Mat, Vec, Vec) = NULL;

2560:   PetscFunctionBegin;

2566:   PetscCall(PetscObjectQueryFunction((PetscObject)coarse, "DMInterpolateSolution_C", &interpsol));
2567:   if (interpsol) {
2568:     PetscCall((*interpsol)(coarse, fine, interp, coarseSol, fineSol));
2569:   } else if (interp) {
2570:     PetscCall(MatInterpolate(interp, coarseSol, fineSol));
2571:   } else SETERRQ(PetscObjectComm((PetscObject)coarse), PETSC_ERR_SUP, "DM %s does not implement DMInterpolateSolution()", ((PetscObject)coarse)->type_name);
2572:   PetscFunctionReturn(PETSC_SUCCESS);
2573: }

2575: /*@
2576:   DMGetRefineLevel - Gets the number of refinements that have generated this `DM` from some initial `DM`.

2578:   Not Collective

2580:   Input Parameter:
2581: . dm - the `DM` object

2583:   Output Parameter:
2584: . level - number of refinements

2586:   Level: developer

2588:   Note:
2589:   This can be used, by example, to set the number of coarser levels associated with this `DM` for a multigrid solver.

2591: .seealso: [](ch_dmbase), `DM`, `DMRefine()`, `DMCoarsen()`, `DMGetCoarsenLevel()`, `DMDestroy()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`
2592: @*/
2593: PetscErrorCode DMGetRefineLevel(DM dm, PetscInt *level)
2594: {
2595:   PetscFunctionBegin;
2597:   *level = dm->levelup;
2598:   PetscFunctionReturn(PETSC_SUCCESS);
2599: }

2601: /*@
2602:   DMSetRefineLevel - Sets the number of refinements that have generated this `DM`.

2604:   Not Collective

2606:   Input Parameters:
2607: + dm    - the `DM` object
2608: - level - number of refinements

2610:   Level: advanced

2612:   Notes:
2613:   This value is used by `PCMG` to determine how many multigrid levels to use

2615:   The values are usually set automatically by the process that is causing the refinements of an initial `DM` by calling this routine.

2617: .seealso: [](ch_dmbase), `DM`, `DMGetRefineLevel()`, `DMCoarsen()`, `DMGetCoarsenLevel()`, `DMDestroy()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`
2618: @*/
2619: PetscErrorCode DMSetRefineLevel(DM dm, PetscInt level)
2620: {
2621:   PetscFunctionBegin;
2623:   dm->levelup = level;
2624:   PetscFunctionReturn(PETSC_SUCCESS);
2625: }

2627: /*@
2628:   DMExtrude - Extrude a `DM` object from a surface

2630:   Collective

2632:   Input Parameters:
2633: + dm     - the `DM` object
2634: - layers - the number of extruded cell layers

2636:   Output Parameter:
2637: . dme - the extruded `DM`, or `NULL`

2639:   Level: developer

2641:   Note:
2642:   If no extrusion was done, the return value is `NULL`

2644: .seealso: [](ch_dmbase), `DM`, `DMRefine()`, `DMCoarsen()`, `DMDestroy()`, `DMView()`, `DMCreateGlobalVector()`
2645: @*/
2646: PetscErrorCode DMExtrude(DM dm, PetscInt layers, DM *dme)
2647: {
2648:   PetscFunctionBegin;
2650:   PetscUseTypeMethod(dm, extrude, layers, dme);
2651:   if (*dme) {
2652:     (*dme)->ops->creatematrix = dm->ops->creatematrix;
2653:     PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)dm, (PetscObject)*dme));
2654:     (*dme)->ctx = dm->ctx;
2655:     PetscCall(DMSetMatType(*dme, dm->mattype));
2656:   }
2657:   PetscFunctionReturn(PETSC_SUCCESS);
2658: }

2660: PetscErrorCode DMGetBasisTransformDM_Internal(DM dm, DM *tdm)
2661: {
2662:   PetscFunctionBegin;
2664:   PetscAssertPointer(tdm, 2);
2665:   *tdm = dm->transformDM;
2666:   PetscFunctionReturn(PETSC_SUCCESS);
2667: }

2669: PetscErrorCode DMGetBasisTransformVec_Internal(DM dm, Vec *tv)
2670: {
2671:   PetscFunctionBegin;
2673:   PetscAssertPointer(tv, 2);
2674:   *tv = dm->transform;
2675:   PetscFunctionReturn(PETSC_SUCCESS);
2676: }

2678: /*@
2679:   DMHasBasisTransform - Whether the `DM` employs a basis transformation from functions in global vectors to functions in local vectors

2681:   Input Parameter:
2682: . dm - The `DM`

2684:   Output Parameter:
2685: . flg - `PETSC_TRUE` if a basis transformation should be done

2687:   Level: developer

2689: .seealso: [](ch_dmbase), `DM`, `DMPlexGlobalToLocalBasis()`, `DMPlexLocalToGlobalBasis()`, `DMPlexCreateBasisRotation()`
2690: @*/
2691: PetscErrorCode DMHasBasisTransform(DM dm, PetscBool *flg)
2692: {
2693:   Vec tv;

2695:   PetscFunctionBegin;
2697:   PetscAssertPointer(flg, 2);
2698:   PetscCall(DMGetBasisTransformVec_Internal(dm, &tv));
2699:   *flg = tv ? PETSC_TRUE : PETSC_FALSE;
2700:   PetscFunctionReturn(PETSC_SUCCESS);
2701: }

2703: PetscErrorCode DMConstructBasisTransform_Internal(DM dm)
2704: {
2705:   PetscSection s, ts;
2706:   PetscScalar *ta;
2707:   PetscInt     cdim, pStart, pEnd, p, Nf, f, Nc, dof;

2709:   PetscFunctionBegin;
2710:   PetscCall(DMGetCoordinateDim(dm, &cdim));
2711:   PetscCall(DMGetLocalSection(dm, &s));
2712:   PetscCall(PetscSectionGetChart(s, &pStart, &pEnd));
2713:   PetscCall(PetscSectionGetNumFields(s, &Nf));
2714:   PetscCall(DMClone(dm, &dm->transformDM));
2715:   PetscCall(DMGetLocalSection(dm->transformDM, &ts));
2716:   PetscCall(PetscSectionSetNumFields(ts, Nf));
2717:   PetscCall(PetscSectionSetChart(ts, pStart, pEnd));
2718:   for (f = 0; f < Nf; ++f) {
2719:     PetscCall(PetscSectionGetFieldComponents(s, f, &Nc));
2720:     /* We could start to label fields by their transformation properties */
2721:     if (Nc != cdim) continue;
2722:     for (p = pStart; p < pEnd; ++p) {
2723:       PetscCall(PetscSectionGetFieldDof(s, p, f, &dof));
2724:       if (!dof) continue;
2725:       PetscCall(PetscSectionSetFieldDof(ts, p, f, PetscSqr(cdim)));
2726:       PetscCall(PetscSectionAddDof(ts, p, PetscSqr(cdim)));
2727:     }
2728:   }
2729:   PetscCall(PetscSectionSetUp(ts));
2730:   PetscCall(DMCreateLocalVector(dm->transformDM, &dm->transform));
2731:   PetscCall(VecGetArray(dm->transform, &ta));
2732:   for (p = pStart; p < pEnd; ++p) {
2733:     for (f = 0; f < Nf; ++f) {
2734:       PetscCall(PetscSectionGetFieldDof(ts, p, f, &dof));
2735:       if (dof) {
2736:         PetscReal          x[3] = {0.0, 0.0, 0.0};
2737:         PetscScalar       *tva;
2738:         const PetscScalar *A;

2740:         /* TODO Get quadrature point for this dual basis vector for coordinate */
2741:         PetscCall((*dm->transformGetMatrix)(dm, x, PETSC_TRUE, &A, dm->transformCtx));
2742:         PetscCall(DMPlexPointLocalFieldRef(dm->transformDM, p, f, ta, (void *)&tva));
2743:         PetscCall(PetscArraycpy(tva, A, PetscSqr(cdim)));
2744:       }
2745:     }
2746:   }
2747:   PetscCall(VecRestoreArray(dm->transform, &ta));
2748:   PetscFunctionReturn(PETSC_SUCCESS);
2749: }

2751: PetscErrorCode DMCopyTransform(DM dm, DM newdm)
2752: {
2753:   PetscFunctionBegin;
2756:   newdm->transformCtx       = dm->transformCtx;
2757:   newdm->transformSetUp     = dm->transformSetUp;
2758:   newdm->transformDestroy   = NULL;
2759:   newdm->transformGetMatrix = dm->transformGetMatrix;
2760:   if (newdm->transformSetUp) PetscCall(DMConstructBasisTransform_Internal(newdm));
2761:   PetscFunctionReturn(PETSC_SUCCESS);
2762: }

2764: /*@C
2765:   DMGlobalToLocalHookAdd - adds a callback to be run when `DMGlobalToLocal()` is called

2767:   Logically Collective

2769:   Input Parameters:
2770: + dm        - the `DM`
2771: . beginhook - function to run at the beginning of `DMGlobalToLocalBegin()`
2772: . endhook   - function to run after `DMGlobalToLocalEnd()` has completed
2773: - ctx       - [optional] context for provide data for the hooks (may be `NULL`)

2775:   Calling sequence of `beginhook`:
2776: + dm   - global `DM`
2777: . g    - global vector
2778: . mode - mode
2779: . l    - local vector
2780: - ctx  - optional function context

2782:   Calling sequence of `endhook`:
2783: + dm   - global `DM`
2784: . g    - global vector
2785: . mode - mode
2786: . l    - local vector
2787: - ctx  - optional function context

2789:   Level: advanced

2791:   Note:
2792:   The hook may be used to provide, for example, values that represent boundary conditions in the local vectors that do not exist on the global vector.

2794: .seealso: [](ch_dmbase), `DM`, `DMGlobalToLocal()`, `DMRefineHookAdd()`, `SNESFASGetInterpolation()`, `SNESFASGetInjection()`, `PetscObjectCompose()`, `PetscContainerCreate()`
2795: @*/
2796: PetscErrorCode DMGlobalToLocalHookAdd(DM dm, PetscErrorCode (*beginhook)(DM dm, Vec g, InsertMode mode, Vec l, PetscCtx ctx), PetscErrorCode (*endhook)(DM dm, Vec g, InsertMode mode, Vec l, PetscCtx ctx), PetscCtx ctx)
2797: {
2798:   DMGlobalToLocalHookLink link, *p;

2800:   PetscFunctionBegin;
2802:   for (p = &dm->gtolhook; *p; p = &(*p)->next) { } /* Scan to the end of the current list of hooks */
2803:   PetscCall(PetscNew(&link));
2804:   link->beginhook = beginhook;
2805:   link->endhook   = endhook;
2806:   link->ctx       = ctx;
2807:   link->next      = NULL;
2808:   *p              = link;
2809:   PetscFunctionReturn(PETSC_SUCCESS);
2810: }

2812: static PetscErrorCode DMGlobalToLocalHook_Constraints(DM dm, Vec g, InsertMode mode, Vec l, PetscCtx ctx)
2813: {
2814:   Mat          cMat;
2815:   Vec          cVec, cBias;
2816:   PetscSection section, cSec;
2817:   PetscInt     pStart, pEnd, p, dof;

2819:   PetscFunctionBegin;
2820:   (void)g;
2821:   (void)ctx;
2823:   PetscCall(DMGetDefaultConstraints(dm, &cSec, &cMat, &cBias));
2824:   if (cMat && (mode == INSERT_VALUES || mode == INSERT_ALL_VALUES || mode == INSERT_BC_VALUES)) {
2825:     PetscInt nRows;

2827:     PetscCall(MatGetSize(cMat, &nRows, NULL));
2828:     if (nRows <= 0) PetscFunctionReturn(PETSC_SUCCESS);
2829:     PetscCall(DMGetLocalSection(dm, &section));
2830:     PetscCall(MatCreateVecs(cMat, NULL, &cVec));
2831:     PetscCall(MatMult(cMat, l, cVec));
2832:     if (cBias) PetscCall(VecAXPY(cVec, 1., cBias));
2833:     PetscCall(PetscSectionGetChart(cSec, &pStart, &pEnd));
2834:     for (p = pStart; p < pEnd; p++) {
2835:       PetscCall(PetscSectionGetDof(cSec, p, &dof));
2836:       if (dof) {
2837:         PetscScalar *vals;
2838:         PetscCall(VecGetValuesSection(cVec, cSec, p, &vals));
2839:         PetscCall(VecSetValuesSection(l, section, p, vals, INSERT_ALL_VALUES));
2840:       }
2841:     }
2842:     PetscCall(VecDestroy(&cVec));
2843:   }
2844:   PetscFunctionReturn(PETSC_SUCCESS);
2845: }

2847: /*@
2848:   DMGlobalToLocal - update local vectors from global vector

2850:   Neighbor-wise Collective

2852:   Input Parameters:
2853: + dm   - the `DM` object
2854: . g    - the global vector
2855: . mode - `INSERT_VALUES` or `ADD_VALUES`
2856: - l    - the local vector

2858:   Level: beginner

2860:   Notes:
2861:   The communication involved in this update can be overlapped with computation by instead using
2862:   `DMGlobalToLocalBegin()` and `DMGlobalToLocalEnd()`.

2864:   `DMGlobalToLocalHookAdd()` may be used to provide additional operations that are performed during the update process.

2866: .seealso: [](ch_dmbase), `DM`, `DMGlobalToLocalHookAdd()`, `DMCoarsen()`, `DMDestroy()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`,
2867:           `DMLocalToGlobalBegin()`, `DMLocalToGlobal()`, `DMLocalToGlobalEnd()`,
2868:           `DMGlobalToLocalBegin()`, `DMGlobalToLocalEnd()`
2869: @*/
2870: PetscErrorCode DMGlobalToLocal(DM dm, Vec g, InsertMode mode, Vec l)
2871: {
2872:   PetscFunctionBegin;
2873:   PetscCall(DMGlobalToLocalBegin(dm, g, mode, l));
2874:   PetscCall(DMGlobalToLocalEnd(dm, g, mode, l));
2875:   PetscFunctionReturn(PETSC_SUCCESS);
2876: }

2878: /*@
2879:   DMGlobalToLocalBegin - Begins updating local vectors from global vector

2881:   Neighbor-wise Collective

2883:   Input Parameters:
2884: + dm   - the `DM` object
2885: . g    - the global vector
2886: . mode - `INSERT_VALUES` or `ADD_VALUES`
2887: - l    - the local vector

2889:   Level: intermediate

2891:   Notes:
2892:   The operation is completed with `DMGlobalToLocalEnd()`

2894:   One can perform local computations between the `DMGlobalToLocalBegin()` and  `DMGlobalToLocalEnd()` to overlap communication and computation

2896:   `DMGlobalToLocal()` is a short form of  `DMGlobalToLocalBegin()` and  `DMGlobalToLocalEnd()`

2898:   `DMGlobalToLocalHookAdd()` may be used to provide additional operations that are performed during the update process.

2900: .seealso: [](ch_dmbase), `DM`, `DMCoarsen()`, `DMDestroy()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`, `DMGlobalToLocal()`, `DMGlobalToLocalEnd()`, `DMLocalToGlobalBegin()`, `DMLocalToGlobal()`, `DMLocalToGlobalEnd()`
2901: @*/
2902: PetscErrorCode DMGlobalToLocalBegin(DM dm, Vec g, InsertMode mode, Vec l)
2903: {
2904:   PetscSF                 sf;
2905:   DMGlobalToLocalHookLink link;

2907:   PetscFunctionBegin;
2909:   for (link = dm->gtolhook; link; link = link->next) {
2910:     if (link->beginhook) PetscCall((*link->beginhook)(dm, g, mode, l, link->ctx));
2911:   }
2912:   PetscCall(DMGetSectionSF(dm, &sf));
2913:   if (sf) {
2914:     const PetscScalar *gArray;
2915:     PetscScalar       *lArray;
2916:     PetscMemType       lmtype, gmtype;

2918:     PetscCheck(mode != ADD_VALUES, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Invalid insertion mode %d", (int)mode);
2919:     PetscCall(VecGetArrayAndMemType(l, &lArray, &lmtype));
2920:     PetscCall(VecGetArrayReadAndMemType(g, &gArray, &gmtype));
2921:     PetscCall(PetscSFBcastWithMemTypeBegin(sf, MPIU_SCALAR, gmtype, gArray, lmtype, lArray, MPI_REPLACE));
2922:     PetscCall(VecRestoreArrayAndMemType(l, &lArray));
2923:     PetscCall(VecRestoreArrayReadAndMemType(g, &gArray));
2924:   } else {
2925:     PetscUseTypeMethod(dm, globaltolocalbegin, g, mode == INSERT_ALL_VALUES ? INSERT_VALUES : (mode == ADD_ALL_VALUES ? ADD_VALUES : mode), l);
2926:   }
2927:   PetscFunctionReturn(PETSC_SUCCESS);
2928: }

2930: /*@
2931:   DMGlobalToLocalEnd - Ends updating local vectors from global vector

2933:   Neighbor-wise Collective

2935:   Input Parameters:
2936: + dm   - the `DM` object
2937: . g    - the global vector
2938: . mode - `INSERT_VALUES` or `ADD_VALUES`
2939: - l    - the local vector

2941:   Level: intermediate

2943:   Note:
2944:   See `DMGlobalToLocalBegin()` for details.

2946: .seealso: [](ch_dmbase), `DM`, `DMCoarsen()`, `DMDestroy()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`, `DMGlobalToLocal()`, `DMLocalToGlobalBegin()`, `DMLocalToGlobal()`, `DMLocalToGlobalEnd()`
2947: @*/
2948: PetscErrorCode DMGlobalToLocalEnd(DM dm, Vec g, InsertMode mode, Vec l)
2949: {
2950:   PetscSF                 sf;
2951:   const PetscScalar      *gArray;
2952:   PetscScalar            *lArray;
2953:   PetscBool               transform;
2954:   DMGlobalToLocalHookLink link;
2955:   PetscMemType            lmtype, gmtype;

2957:   PetscFunctionBegin;
2959:   PetscCall(DMGetSectionSF(dm, &sf));
2960:   PetscCall(DMHasBasisTransform(dm, &transform));
2961:   if (sf) {
2962:     PetscCheck(mode != ADD_VALUES, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Invalid insertion mode %d", (int)mode);

2964:     PetscCall(VecGetArrayAndMemType(l, &lArray, &lmtype));
2965:     PetscCall(VecGetArrayReadAndMemType(g, &gArray, &gmtype));
2966:     PetscCall(PetscSFBcastEnd(sf, MPIU_SCALAR, gArray, lArray, MPI_REPLACE));
2967:     PetscCall(VecRestoreArrayAndMemType(l, &lArray));
2968:     PetscCall(VecRestoreArrayReadAndMemType(g, &gArray));
2969:     if (transform) PetscCall(DMPlexGlobalToLocalBasis(dm, l));
2970:   } else {
2971:     PetscUseTypeMethod(dm, globaltolocalend, g, mode == INSERT_ALL_VALUES ? INSERT_VALUES : (mode == ADD_ALL_VALUES ? ADD_VALUES : mode), l);
2972:   }
2973:   PetscCall(DMGlobalToLocalHook_Constraints(dm, g, mode, l, NULL));
2974:   for (link = dm->gtolhook; link; link = link->next) {
2975:     if (link->endhook) PetscCall((*link->endhook)(dm, g, mode, l, link->ctx));
2976:   }
2977:   PetscFunctionReturn(PETSC_SUCCESS);
2978: }

2980: /*@C
2981:   DMLocalToGlobalHookAdd - adds a callback to be run when a local to global is called

2983:   Logically Collective

2985:   Input Parameters:
2986: + dm        - the `DM`
2987: . beginhook - function to run at the beginning of `DMLocalToGlobalBegin()`
2988: . endhook   - function to run after `DMLocalToGlobalEnd()` has completed
2989: - ctx       - [optional] context for provide data for the hooks (may be `NULL`)

2991:   Calling sequence of `beginhook`:
2992: + global - global `DM`
2993: . l      - local vector
2994: . mode   - mode
2995: . g      - global vector
2996: - ctx    - optional function context

2998:   Calling sequence of `endhook`:
2999: + global - global `DM`
3000: . l      - local vector
3001: . mode   - mode
3002: . g      - global vector
3003: - ctx    - optional function context

3005:   Level: advanced

3007: .seealso: [](ch_dmbase), `DM`, `DMLocalToGlobal()`, `DMRefineHookAdd()`, `DMGlobalToLocalHookAdd()`, `SNESFASGetInterpolation()`, `SNESFASGetInjection()`, `PetscObjectCompose()`, `PetscContainerCreate()`
3008: @*/
3009: PetscErrorCode DMLocalToGlobalHookAdd(DM dm, PetscErrorCode (*beginhook)(DM global, Vec l, InsertMode mode, Vec g, PetscCtx ctx), PetscErrorCode (*endhook)(DM global, Vec l, InsertMode mode, Vec g, PetscCtx ctx), PetscCtx ctx)
3010: {
3011:   DMLocalToGlobalHookLink link, *p;

3013:   PetscFunctionBegin;
3015:   for (p = &dm->ltoghook; *p; p = &(*p)->next) { } /* Scan to the end of the current list of hooks */
3016:   PetscCall(PetscNew(&link));
3017:   link->beginhook = beginhook;
3018:   link->endhook   = endhook;
3019:   link->ctx       = ctx;
3020:   link->next      = NULL;
3021:   *p              = link;
3022:   PetscFunctionReturn(PETSC_SUCCESS);
3023: }

3025: static PetscErrorCode DMLocalToGlobalHook_Constraints(DM dm, Vec l, InsertMode mode, Vec g, PetscCtx ctx)
3026: {
3027:   PetscFunctionBegin;
3028:   (void)g;
3029:   (void)ctx;
3031:   if (mode == ADD_VALUES || mode == ADD_ALL_VALUES || mode == ADD_BC_VALUES) {
3032:     Mat          cMat;
3033:     Vec          cVec;
3034:     PetscInt     nRows;
3035:     PetscSection section, cSec;
3036:     PetscInt     pStart, pEnd, p, dof;

3038:     PetscCall(DMGetDefaultConstraints(dm, &cSec, &cMat, NULL));
3039:     if (!cMat) PetscFunctionReturn(PETSC_SUCCESS);

3041:     PetscCall(MatGetSize(cMat, &nRows, NULL));
3042:     if (nRows <= 0) PetscFunctionReturn(PETSC_SUCCESS);
3043:     PetscCall(DMGetLocalSection(dm, &section));
3044:     PetscCall(MatCreateVecs(cMat, NULL, &cVec));
3045:     PetscCall(PetscSectionGetChart(cSec, &pStart, &pEnd));
3046:     for (p = pStart; p < pEnd; p++) {
3047:       PetscCall(PetscSectionGetDof(cSec, p, &dof));
3048:       if (dof) {
3049:         PetscInt     d;
3050:         PetscScalar *vals;
3051:         PetscCall(VecGetValuesSection(l, section, p, &vals));
3052:         PetscCall(VecSetValuesSection(cVec, cSec, p, vals, mode));
3053:         /* for this to be the true transpose, we have to zero the values that
3054:          * we just extracted */
3055:         for (d = 0; d < dof; d++) vals[d] = 0.;
3056:       }
3057:     }
3058:     PetscCall(MatMultTransposeAdd(cMat, cVec, l, l));
3059:     PetscCall(VecDestroy(&cVec));
3060:   }
3061:   PetscFunctionReturn(PETSC_SUCCESS);
3062: }
3063: /*@
3064:   DMLocalToGlobal - updates global vectors from local vectors

3066:   Neighbor-wise Collective

3068:   Input Parameters:
3069: + dm   - the `DM` object
3070: . l    - the local vector
3071: . mode - if `INSERT_VALUES` then no parallel communication is used, if `ADD_VALUES` then all ghost points from the same base point accumulate into that base point.
3072: - g    - the global vector

3074:   Level: beginner

3076:   Notes:
3077:   The communication involved in this update can be overlapped with computation by using
3078:   `DMLocalToGlobalBegin()` and `DMLocalToGlobalEnd()`.

3080:   In the `ADD_VALUES` case you normally would zero the receiving vector before beginning this operation.

3082:   `INSERT_VALUES` is not supported for `DMDA`; in that case simply compute the values directly into a global vector instead of a local one.

3084:   Use `DMLocalToGlobalHookAdd()` to add additional operations that are performed on the data during the update process

3086: .seealso: [](ch_dmbase), `DM`, `DMLocalToGlobalBegin()`, `DMLocalToGlobalEnd()`, `DMCoarsen()`, `DMDestroy()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`, `DMGlobalToLocal()`, `DMGlobalToLocalEnd()`, `DMGlobalToLocalBegin()`, `DMLocalToGlobalHookAdd()`, `DMGlobaToLocallHookAdd()`
3087: @*/
3088: PetscErrorCode DMLocalToGlobal(DM dm, Vec l, InsertMode mode, Vec g)
3089: {
3090:   PetscFunctionBegin;
3091:   PetscCall(DMLocalToGlobalBegin(dm, l, mode, g));
3092:   PetscCall(DMLocalToGlobalEnd(dm, l, mode, g));
3093:   PetscFunctionReturn(PETSC_SUCCESS);
3094: }

3096: /*@
3097:   DMLocalToGlobalBegin - begins updating global vectors from local vectors

3099:   Neighbor-wise Collective

3101:   Input Parameters:
3102: + dm   - the `DM` object
3103: . l    - the local vector
3104: . mode - if `INSERT_VALUES` then no parallel communication is used, if `ADD_VALUES` then all ghost points from the same base point accumulate into that base point.
3105: - g    - the global vector

3107:   Level: intermediate

3109:   Notes:
3110:   In the `ADD_VALUES` case you normally would zero the receiving vector before beginning this operation.

3112:   `INSERT_VALUES is` not supported for `DMDA`, in that case simply compute the values directly into a global vector instead of a local one.

3114:   Use `DMLocalToGlobalEnd()` to complete the communication process.

3116:   `DMLocalToGlobal()` is a short form of  `DMLocalToGlobalBegin()` and  `DMLocalToGlobalEnd()`

3118:   `DMLocalToGlobalHookAdd()` may be used to provide additional operations that are performed during the update process.

3120: .seealso: [](ch_dmbase), `DM`, `DMLocalToGlobal()`, `DMLocalToGlobalEnd()`, `DMCoarsen()`, `DMDestroy()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`, `DMGlobalToLocal()`, `DMGlobalToLocalEnd()`, `DMGlobalToLocalBegin()`
3121: @*/
3122: PetscErrorCode DMLocalToGlobalBegin(DM dm, Vec l, InsertMode mode, Vec g)
3123: {
3124:   PetscSF                 sf;
3125:   PetscSection            s, gs;
3126:   DMLocalToGlobalHookLink link;
3127:   Vec                     tmpl;
3128:   const PetscScalar      *lArray;
3129:   PetscScalar            *gArray;
3130:   PetscBool               isInsert, transform, l_inplace = PETSC_FALSE, g_inplace = PETSC_FALSE;
3131:   PetscMemType            lmtype = PETSC_MEMTYPE_HOST, gmtype = PETSC_MEMTYPE_HOST;

3133:   PetscFunctionBegin;
3135:   for (link = dm->ltoghook; link; link = link->next) {
3136:     if (link->beginhook) PetscCall((*link->beginhook)(dm, l, mode, g, link->ctx));
3137:   }
3138:   PetscCall(DMLocalToGlobalHook_Constraints(dm, l, mode, g, NULL));
3139:   PetscCall(DMGetSectionSF(dm, &sf));
3140:   PetscCall(DMGetLocalSection(dm, &s));
3141:   switch (mode) {
3142:   case INSERT_VALUES:
3143:   case INSERT_ALL_VALUES:
3144:   case INSERT_BC_VALUES:
3145:     isInsert = PETSC_TRUE;
3146:     break;
3147:   case ADD_VALUES:
3148:   case ADD_ALL_VALUES:
3149:   case ADD_BC_VALUES:
3150:     isInsert = PETSC_FALSE;
3151:     break;
3152:   default:
3153:     SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Invalid insertion mode %d", mode);
3154:   }
3155:   if ((sf && !isInsert) || (s && isInsert)) {
3156:     PetscCall(DMHasBasisTransform(dm, &transform));
3157:     if (transform) {
3158:       PetscCall(DMGetNamedLocalVector(dm, "__petsc_dm_transform_local_copy", &tmpl));
3159:       PetscCall(VecCopy(l, tmpl));
3160:       PetscCall(DMPlexLocalToGlobalBasis(dm, tmpl));
3161:       PetscCall(VecGetArrayRead(tmpl, &lArray));
3162:     } else if (isInsert) {
3163:       PetscCall(VecGetArrayRead(l, &lArray));
3164:     } else {
3165:       PetscCall(VecGetArrayReadAndMemType(l, &lArray, &lmtype));
3166:       l_inplace = PETSC_TRUE;
3167:     }
3168:     if (s && isInsert) {
3169:       PetscCall(VecGetArray(g, &gArray));
3170:     } else {
3171:       PetscCall(VecGetArrayAndMemType(g, &gArray, &gmtype));
3172:       g_inplace = PETSC_TRUE;
3173:     }
3174:     if (sf && !isInsert) {
3175:       PetscCall(PetscSFReduceWithMemTypeBegin(sf, MPIU_SCALAR, lmtype, lArray, gmtype, gArray, MPIU_SUM));
3176:     } else if (s && isInsert) {
3177:       PetscInt gStart, pStart, pEnd, p;

3179:       PetscCall(DMGetGlobalSection(dm, &gs));
3180:       PetscCall(PetscSectionGetChart(s, &pStart, &pEnd));
3181:       PetscCall(VecGetOwnershipRange(g, &gStart, NULL));
3182:       for (p = pStart; p < pEnd; ++p) {
3183:         PetscInt dof, gdof, cdof, gcdof, off, goff, d, e;

3185:         PetscCall(PetscSectionGetDof(s, p, &dof));
3186:         PetscCall(PetscSectionGetDof(gs, p, &gdof));
3187:         PetscCall(PetscSectionGetConstraintDof(s, p, &cdof));
3188:         PetscCall(PetscSectionGetConstraintDof(gs, p, &gcdof));
3189:         PetscCall(PetscSectionGetOffset(s, p, &off));
3190:         PetscCall(PetscSectionGetOffset(gs, p, &goff));
3191:         /* Ignore off-process data and points with no global data */
3192:         if (!gdof || goff < 0) continue;
3193:         PetscCheck(dof == gdof, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Inconsistent sizes, p: %" PetscInt_FMT " dof: %" PetscInt_FMT " gdof: %" PetscInt_FMT " cdof: %" PetscInt_FMT " gcdof: %" PetscInt_FMT, p, dof, gdof, cdof, gcdof);
3194:         /* If no constraints are enforced in the global vector */
3195:         if (!gcdof) {
3196:           for (d = 0; d < dof; ++d) gArray[goff - gStart + d] = lArray[off + d];
3197:           /* If constraints are enforced in the global vector */
3198:         } else if (cdof == gcdof) {
3199:           const PetscInt *cdofs;
3200:           PetscInt        cind = 0;

3202:           PetscCall(PetscSectionGetConstraintIndices(s, p, &cdofs));
3203:           for (d = 0, e = 0; d < dof; ++d) {
3204:             if ((cind < cdof) && (d == cdofs[cind])) {
3205:               ++cind;
3206:               continue;
3207:             }
3208:             gArray[goff - gStart + e++] = lArray[off + d];
3209:           }
3210:         } else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Inconsistent sizes, p: %" PetscInt_FMT " dof: %" PetscInt_FMT " gdof: %" PetscInt_FMT " cdof: %" PetscInt_FMT " gcdof: %" PetscInt_FMT, p, dof, gdof, cdof, gcdof);
3211:       }
3212:     }
3213:     if (g_inplace) {
3214:       PetscCall(VecRestoreArrayAndMemType(g, &gArray));
3215:     } else {
3216:       PetscCall(VecRestoreArray(g, &gArray));
3217:     }
3218:     if (transform) {
3219:       PetscCall(VecRestoreArrayRead(tmpl, &lArray));
3220:       PetscCall(DMRestoreNamedLocalVector(dm, "__petsc_dm_transform_local_copy", &tmpl));
3221:     } else if (l_inplace) {
3222:       PetscCall(VecRestoreArrayReadAndMemType(l, &lArray));
3223:     } else {
3224:       PetscCall(VecRestoreArrayRead(l, &lArray));
3225:     }
3226:   } else {
3227:     PetscUseTypeMethod(dm, localtoglobalbegin, l, mode == INSERT_ALL_VALUES ? INSERT_VALUES : (mode == ADD_ALL_VALUES ? ADD_VALUES : mode), g);
3228:   }
3229:   PetscFunctionReturn(PETSC_SUCCESS);
3230: }

3232: /*@
3233:   DMLocalToGlobalEnd - updates global vectors from local vectors

3235:   Neighbor-wise Collective

3237:   Input Parameters:
3238: + dm   - the `DM` object
3239: . l    - the local vector
3240: . mode - `INSERT_VALUES` or `ADD_VALUES`
3241: - g    - the global vector

3243:   Level: intermediate

3245:   Note:
3246:   See `DMLocalToGlobalBegin()` for full details

3248: .seealso: [](ch_dmbase), `DM`, `DMLocalToGlobalBegin()`, `DMCoarsen()`, `DMDestroy()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`, `DMGlobalToLocalEnd()`
3249: @*/
3250: PetscErrorCode DMLocalToGlobalEnd(DM dm, Vec l, InsertMode mode, Vec g)
3251: {
3252:   PetscSF                 sf;
3253:   PetscSection            s;
3254:   DMLocalToGlobalHookLink link;
3255:   PetscBool               isInsert, transform;

3257:   PetscFunctionBegin;
3259:   PetscCall(DMGetSectionSF(dm, &sf));
3260:   PetscCall(DMGetLocalSection(dm, &s));
3261:   switch (mode) {
3262:   case INSERT_VALUES:
3263:   case INSERT_ALL_VALUES:
3264:     isInsert = PETSC_TRUE;
3265:     break;
3266:   case ADD_VALUES:
3267:   case ADD_ALL_VALUES:
3268:     isInsert = PETSC_FALSE;
3269:     break;
3270:   default:
3271:     SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Invalid insertion mode %d", mode);
3272:   }
3273:   if (sf && !isInsert) {
3274:     const PetscScalar *lArray;
3275:     PetscScalar       *gArray;
3276:     Vec                tmpl;

3278:     PetscCall(DMHasBasisTransform(dm, &transform));
3279:     if (transform) {
3280:       PetscCall(DMGetNamedLocalVector(dm, "__petsc_dm_transform_local_copy", &tmpl));
3281:       PetscCall(VecGetArrayRead(tmpl, &lArray));
3282:     } else {
3283:       PetscCall(VecGetArrayReadAndMemType(l, &lArray, NULL));
3284:     }
3285:     PetscCall(VecGetArrayAndMemType(g, &gArray, NULL));
3286:     PetscCall(PetscSFReduceEnd(sf, MPIU_SCALAR, lArray, gArray, MPIU_SUM));
3287:     if (transform) {
3288:       PetscCall(VecRestoreArrayRead(tmpl, &lArray));
3289:       PetscCall(DMRestoreNamedLocalVector(dm, "__petsc_dm_transform_local_copy", &tmpl));
3290:     } else {
3291:       PetscCall(VecRestoreArrayReadAndMemType(l, &lArray));
3292:     }
3293:     PetscCall(VecRestoreArrayAndMemType(g, &gArray));
3294:   } else if (s && isInsert) {
3295:   } else {
3296:     PetscUseTypeMethod(dm, localtoglobalend, l, mode == INSERT_ALL_VALUES ? INSERT_VALUES : (mode == ADD_ALL_VALUES ? ADD_VALUES : mode), g);
3297:   }
3298:   for (link = dm->ltoghook; link; link = link->next) {
3299:     if (link->endhook) PetscCall((*link->endhook)(dm, g, mode, l, link->ctx));
3300:   }
3301:   PetscFunctionReturn(PETSC_SUCCESS);
3302: }

3304: /*@
3305:   DMLocalToLocalBegin - Begins the process of mapping values from a local vector (that include
3306:   ghost points that contain irrelevant values) to another local vector where the ghost points
3307:   in the second are set correctly from values on other MPI ranks.

3309:   Neighbor-wise Collective

3311:   Input Parameters:
3312: + dm   - the `DM` object
3313: . g    - the original local vector
3314: - mode - one of `INSERT_VALUES` or `ADD_VALUES`

3316:   Output Parameter:
3317: . l - the local vector with correct ghost values

3319:   Level: intermediate

3321:   Note:
3322:   Must be followed by `DMLocalToLocalEnd()`.

3324: .seealso: [](ch_dmbase), `DM`, `DMLocalToLocalEnd()`, `DMCoarsen()`, `DMDestroy()`, `DMView()`, `DMCreateLocalVector()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`, `DMGlobalToLocalEnd()`, `DMLocalToGlobalBegin()`
3325: @*/
3326: PetscErrorCode DMLocalToLocalBegin(DM dm, Vec g, InsertMode mode, Vec l)
3327: {
3328:   PetscFunctionBegin;
3332:   PetscUseTypeMethod(dm, localtolocalbegin, g, mode == INSERT_ALL_VALUES ? INSERT_VALUES : (mode == ADD_ALL_VALUES ? ADD_VALUES : mode), l);
3333:   PetscFunctionReturn(PETSC_SUCCESS);
3334: }

3336: /*@
3337:   DMLocalToLocalEnd - Maps from a local vector to another local vector where the ghost
3338:   points in the second are set correctly. Must be preceded by `DMLocalToLocalBegin()`.

3340:   Neighbor-wise Collective

3342:   Input Parameters:
3343: + dm   - the `DM` object
3344: . g    - the original local vector
3345: - mode - one of `INSERT_VALUES` or `ADD_VALUES`

3347:   Output Parameter:
3348: . l - the local vector with correct ghost values

3350:   Level: intermediate

3352: .seealso: [](ch_dmbase), `DM`, `DMLocalToLocalBegin()`, `DMCoarsen()`, `DMDestroy()`, `DMView()`, `DMCreateLocalVector()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`, `DMGlobalToLocalEnd()`, `DMLocalToGlobalBegin()`
3353: @*/
3354: PetscErrorCode DMLocalToLocalEnd(DM dm, Vec g, InsertMode mode, Vec l)
3355: {
3356:   PetscFunctionBegin;
3360:   PetscUseTypeMethod(dm, localtolocalend, g, mode == INSERT_ALL_VALUES ? INSERT_VALUES : (mode == ADD_ALL_VALUES ? ADD_VALUES : mode), l);
3361:   PetscFunctionReturn(PETSC_SUCCESS);
3362: }

3364: /*@
3365:   DMCoarsen - Coarsens a `DM` object using a standard, non-adaptive coarsening of the underlying mesh

3367:   Collective

3369:   Input Parameters:
3370: + dm   - the `DM` object
3371: - comm - the communicator to contain the new `DM` object (or `MPI_COMM_NULL`)

3373:   Output Parameter:
3374: . dmc - the coarsened `DM`

3376:   Level: developer

3378: .seealso: [](ch_dmbase), `DM`, `DMRefine()`, `DMDestroy()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`, `DMCreateDomainDecomposition()`,
3379:           `DMCoarsenHookAdd()`, `DMCoarsenHookRemove()`
3380: @*/
3381: PetscErrorCode DMCoarsen(DM dm, MPI_Comm comm, DM *dmc)
3382: {
3383:   DMCoarsenHookLink link;

3385:   PetscFunctionBegin;
3387:   PetscCall(PetscLogEventBegin(DM_Coarsen, dm, 0, 0, 0));
3388:   PetscUseTypeMethod(dm, coarsen, comm, dmc);
3389:   if (*dmc) {
3390:     (*dmc)->bind_below = dm->bind_below; /* Propagate this from parent DM; otherwise -dm_bind_below will be useless for multigrid cases. */
3391:     PetscCall(DMSetCoarseDM(dm, *dmc));
3392:     (*dmc)->ops->creatematrix = dm->ops->creatematrix;
3393:     PetscCall(PetscObjectCopyFortranFunctionPointers((PetscObject)dm, (PetscObject)*dmc));
3394:     (*dmc)->ctx       = dm->ctx;
3395:     (*dmc)->levelup   = dm->levelup;
3396:     (*dmc)->leveldown = dm->leveldown + 1;
3397:     PetscCall(DMSetMatType(*dmc, dm->mattype));
3398:     for (link = dm->coarsenhook; link; link = link->next) {
3399:       if (link->coarsenhook) PetscCall((*link->coarsenhook)(dm, *dmc, link->ctx));
3400:     }
3401:   }
3402:   PetscCall(PetscLogEventEnd(DM_Coarsen, dm, 0, 0, 0));
3403:   PetscCheck(*dmc, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "NULL coarse mesh produced");
3404:   PetscFunctionReturn(PETSC_SUCCESS);
3405: }

3407: /*@C
3408:   DMCoarsenHookAdd - adds a callback to be run when restricting a nonlinear problem to the coarse grid

3410:   Logically Collective; No Fortran Support

3412:   Input Parameters:
3413: + fine         - `DM` on which to run a hook when restricting to a coarser level
3414: . coarsenhook  - function to run when setting up a coarser level
3415: . restricthook - function to run to update data on coarser levels (called once per `SNESSolve()`)
3416: - ctx          - [optional] application context for provide data for the hooks (may be `NULL`)

3418:   Calling sequence of `coarsenhook`:
3419: + fine   - fine level `DM`
3420: . coarse - coarse level `DM` to restrict problem to
3421: - ctx    - optional application function context

3423:   Calling sequence of `restricthook`:
3424: + fine      - fine level `DM`
3425: . mrestrict - matrix restricting a fine-level solution to the coarse grid, usually the transpose of the interpolation
3426: . rscale    - scaling vector for restriction
3427: . inject    - matrix restricting by injection
3428: . coarse    - coarse level DM to update
3429: - ctx       - optional application function context

3431:   Level: advanced

3433:   Notes:
3434:   This function is only needed if auxiliary data, attached to the `DM` with `PetscObjectCompose()`, needs to be set up or passed from the fine `DM` to the coarse `DM`.

3436:   If this function is called multiple times, the hooks will be run in the order they are added.

3438:   In order to compose with nonlinear preconditioning without duplicating storage, the hook should be implemented to
3439:   extract the finest level information from its context (instead of from the `SNES`).

3441:   The hooks are automatically called by `DMRestrict()`

3443: .seealso: [](ch_dmbase), `DM`, `DMCoarsenHookRemove()`, `DMRefineHookAdd()`, `SNESFASGetInterpolation()`, `SNESFASGetInjection()`, `PetscObjectCompose()`, `PetscContainerCreate()`
3444: @*/
3445: PetscErrorCode DMCoarsenHookAdd(DM fine, PetscErrorCode (*coarsenhook)(DM fine, DM coarse, PetscCtx ctx), PetscErrorCode (*restricthook)(DM fine, Mat mrestrict, Vec rscale, Mat inject, DM coarse, PetscCtx ctx), PetscCtx ctx)
3446: {
3447:   DMCoarsenHookLink link, *p;

3449:   PetscFunctionBegin;
3451:   for (p = &fine->coarsenhook; *p; p = &(*p)->next) { /* Scan to the end of the current list of hooks */
3452:     if ((*p)->coarsenhook == coarsenhook && (*p)->restricthook == restricthook && (*p)->ctx == ctx) PetscFunctionReturn(PETSC_SUCCESS);
3453:   }
3454:   PetscCall(PetscNew(&link));
3455:   link->coarsenhook  = coarsenhook;
3456:   link->restricthook = restricthook;
3457:   link->ctx          = ctx;
3458:   link->next         = NULL;
3459:   *p                 = link;
3460:   PetscFunctionReturn(PETSC_SUCCESS);
3461: }

3463: /*@C
3464:   DMCoarsenHookRemove - remove a callback set with `DMCoarsenHookAdd()`

3466:   Logically Collective; No Fortran Support

3468:   Input Parameters:
3469: + fine         - `DM` on which to run a hook when restricting to a coarser level
3470: . coarsenhook  - function to run when setting up a coarser level
3471: . restricthook - function to run to update data on coarser levels
3472: - ctx          - [optional] application context for provide data for the hooks (may be `NULL`)

3474:   Calling sequence of `coarsenhook`:
3475: + fine   - fine level `DM`
3476: . coarse - coarse level `DM` to restrict problem to
3477: - ctx    - optional application function context

3479:   Calling sequence of `restricthook`:
3480: + fine    - fine level `DM`
3481: . rstrict - matrix restricting a fine-level solution to the coarse grid, usually the transpose of the interpolation
3482: . rscale  - scaling vector for restriction
3483: . inject  - matrix restricting by injection
3484: . coarse  - coarse level DM to update
3485: - ctx     - optional application function context

3487:   Level: advanced

3489:   Notes:
3490:   This function does nothing if the `coarsenhook` is not in the list.

3492:   See `DMCoarsenHookAdd()` for the calling sequence of `coarsenhook` and `restricthook`

3494: .seealso: [](ch_dmbase), `DM`, `DMCoarsenHookAdd()`, `DMRefineHookAdd()`, `SNESFASGetInterpolation()`, `SNESFASGetInjection()`, `PetscObjectCompose()`, `PetscContainerCreate()`
3495: @*/
3496: PetscErrorCode DMCoarsenHookRemove(DM fine, PetscErrorCode (*coarsenhook)(DM fine, DM coarse, PetscCtx ctx), PetscErrorCode (*restricthook)(DM fine, Mat rstrict, Vec rscale, Mat inject, DM coarse, PetscCtx ctx), PetscCtx ctx)
3497: {
3498:   DMCoarsenHookLink link, *p;

3500:   PetscFunctionBegin;
3502:   for (p = &fine->coarsenhook; *p; p = &(*p)->next) { /* Search the list of current hooks */
3503:     if ((*p)->coarsenhook == coarsenhook && (*p)->restricthook == restricthook && (*p)->ctx == ctx) {
3504:       link = *p;
3505:       *p   = link->next;
3506:       PetscCall(PetscFree(link));
3507:       break;
3508:     }
3509:   }
3510:   PetscFunctionReturn(PETSC_SUCCESS);
3511: }

3513: /*@
3514:   DMRestrict - restricts user-defined problem data to a coarser `DM` by running hooks registered by `DMCoarsenHookAdd()`

3516:   Collective if any hooks are

3518:   Input Parameters:
3519: + fine    - finer `DM` from which the data is obtained
3520: . restrct - restriction matrix, apply using `MatRestrict()`, usually the transpose of the interpolation
3521: . rscale  - scaling vector for restriction
3522: . inject  - injection matrix, also use `MatRestrict()`
3523: - coarse  - coarser `DM` to update

3525:   Level: developer

3527:   Developer Note:
3528:   Though this routine is called `DMRestrict()` the hooks are added with `DMCoarsenHookAdd()`, a consistent terminology would be better

3530: .seealso: [](ch_dmbase), `DM`, `DMCoarsenHookAdd()`, `MatRestrict()`, `DMInterpolate()`, `DMRefineHookAdd()`
3531: @*/
3532: PetscErrorCode DMRestrict(DM fine, Mat restrct, Vec rscale, Mat inject, DM coarse)
3533: {
3534:   DMCoarsenHookLink link;

3536:   PetscFunctionBegin;
3537:   for (link = fine->coarsenhook; link; link = link->next) {
3538:     if (link->restricthook) PetscCall((*link->restricthook)(fine, restrct, rscale, inject, coarse, link->ctx));
3539:   }
3540:   PetscFunctionReturn(PETSC_SUCCESS);
3541: }

3543: /*@C
3544:   DMSubDomainHookAdd - adds a callback to be run when restricting a problem to subdomain `DM`s with `DMCreateDomainDecomposition()`

3546:   Logically Collective; No Fortran Support

3548:   Input Parameters:
3549: + global       - global `DM`
3550: . ddhook       - function to run to pass data to the decomposition `DM` upon its creation
3551: . restricthook - function to run to update data on block solve (at the beginning of the block solve)
3552: - ctx          - [optional] application context for provide data for the hooks (may be `NULL`)

3554:   Calling sequence of `ddhook`:
3555: + global - global `DM`
3556: . block  - subdomain `DM`
3557: - ctx    - optional application function context

3559:   Calling sequence of `restricthook`:
3560: + global - global `DM`
3561: . out    - scatter to the outer (with ghost and overlap points) sub vector
3562: . in     - scatter to sub vector values only owned locally
3563: . block  - subdomain `DM`
3564: - ctx    - optional application function context

3566:   Level: advanced

3568:   Notes:
3569:   This function can be used if auxiliary data needs to be set up on subdomain `DM`s.

3571:   If this function is called multiple times, the hooks will be run in the order they are added.

3573:   In order to compose with nonlinear preconditioning without duplicating storage, the hook should be implemented to
3574:   extract the global information from its context (instead of from the `SNES`).

3576:   Developer Note:
3577:   It is unclear what "block solve" means within the definition of `restricthook`

3579: .seealso: [](ch_dmbase), `DM`, `DMSubDomainHookRemove()`, `DMRefineHookAdd()`, `SNESFASGetInterpolation()`, `SNESFASGetInjection()`, `PetscObjectCompose()`, `PetscContainerCreate()`, `DMCreateDomainDecomposition()`
3580: @*/
3581: PetscErrorCode DMSubDomainHookAdd(DM global, PetscErrorCode (*ddhook)(DM global, DM block, PetscCtx ctx), PetscErrorCode (*restricthook)(DM global, VecScatter out, VecScatter in, DM block, PetscCtx ctx), PetscCtx ctx)
3582: {
3583:   DMSubDomainHookLink link, *p;

3585:   PetscFunctionBegin;
3587:   for (p = &global->subdomainhook; *p; p = &(*p)->next) { /* Scan to the end of the current list of hooks */
3588:     if ((*p)->ddhook == ddhook && (*p)->restricthook == restricthook && (*p)->ctx == ctx) PetscFunctionReturn(PETSC_SUCCESS);
3589:   }
3590:   PetscCall(PetscNew(&link));
3591:   link->restricthook = restricthook;
3592:   link->ddhook       = ddhook;
3593:   link->ctx          = ctx;
3594:   link->next         = NULL;
3595:   *p                 = link;
3596:   PetscFunctionReturn(PETSC_SUCCESS);
3597: }

3599: /*@C
3600:   DMSubDomainHookRemove - remove a callback from the list to be run when restricting a problem to subdomain `DM`s with `DMCreateDomainDecomposition()`

3602:   Logically Collective; No Fortran Support

3604:   Input Parameters:
3605: + global       - global `DM`
3606: . ddhook       - function to run to pass data to the decomposition `DM` upon its creation
3607: . restricthook - function to run to update data on block solve (at the beginning of the block solve)
3608: - ctx          - [optional] application context for provide data for the hooks (may be `NULL`)

3610:   Calling sequence of `ddhook`:
3611: + dm    - global `DM`
3612: . block - subdomain `DM`
3613: - ctx   - optional application function context

3615:   Calling sequence of `restricthook`:
3616: + dm       - global `DM`
3617: . oscatter - scatter to the outer (with ghost and overlap points) sub vector
3618: . gscatter - scatter to sub vector values only owned locally
3619: . block    - subdomain `DM`
3620: - ctx      - optional application function context

3622:   Level: advanced

3624: .seealso: [](ch_dmbase), `DM`, `DMSubDomainHookAdd()`, `SNESFASGetInterpolation()`, `SNESFASGetInjection()`, `PetscObjectCompose()`, `PetscContainerCreate()`,
3625:           `DMCreateDomainDecomposition()`
3626: @*/
3627: PetscErrorCode DMSubDomainHookRemove(DM global, PetscErrorCode (*ddhook)(DM dm, DM block, PetscCtx ctx), PetscErrorCode (*restricthook)(DM dm, VecScatter oscatter, VecScatter gscatter, DM block, PetscCtx ctx), PetscCtx ctx)
3628: {
3629:   DMSubDomainHookLink link, *p;

3631:   PetscFunctionBegin;
3633:   for (p = &global->subdomainhook; *p; p = &(*p)->next) { /* Search the list of current hooks */
3634:     if ((*p)->ddhook == ddhook && (*p)->restricthook == restricthook && (*p)->ctx == ctx) {
3635:       link = *p;
3636:       *p   = link->next;
3637:       PetscCall(PetscFree(link));
3638:       break;
3639:     }
3640:   }
3641:   PetscFunctionReturn(PETSC_SUCCESS);
3642: }

3644: /*@
3645:   DMSubDomainRestrict - restricts user-defined problem data to a subdomain `DM` by running hooks registered by `DMSubDomainHookAdd()`

3647:   Collective if any hooks are

3649:   Input Parameters:
3650: + global   - The global `DM` to use as a base
3651: . oscatter - The scatter from domain global vector filling subdomain global vector with overlap
3652: . gscatter - The scatter from domain global vector filling subdomain local vector with ghosts
3653: - subdm    - The subdomain `DM` to update

3655:   Level: developer

3657: .seealso: [](ch_dmbase), `DM`, `DMCoarsenHookAdd()`, `MatRestrict()`, `DMCreateDomainDecomposition()`
3658: @*/
3659: PetscErrorCode DMSubDomainRestrict(DM global, VecScatter oscatter, VecScatter gscatter, DM subdm)
3660: {
3661:   DMSubDomainHookLink link;

3663:   PetscFunctionBegin;
3664:   for (link = global->subdomainhook; link; link = link->next) {
3665:     if (link->restricthook) PetscCall((*link->restricthook)(global, oscatter, gscatter, subdm, link->ctx));
3666:   }
3667:   PetscFunctionReturn(PETSC_SUCCESS);
3668: }

3670: /*@
3671:   DMGetCoarsenLevel - Gets the number of coarsenings that have generated this `DM`.

3673:   Not Collective

3675:   Input Parameter:
3676: . dm - the `DM` object

3678:   Output Parameter:
3679: . level - number of coarsenings

3681:   Level: developer

3683: .seealso: [](ch_dmbase), `DM`, `DMCoarsen()`, `DMSetCoarsenLevel()`, `DMGetRefineLevel()`, `DMDestroy()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`
3684: @*/
3685: PetscErrorCode DMGetCoarsenLevel(DM dm, PetscInt *level)
3686: {
3687:   PetscFunctionBegin;
3689:   PetscAssertPointer(level, 2);
3690:   *level = dm->leveldown;
3691:   PetscFunctionReturn(PETSC_SUCCESS);
3692: }

3694: /*@
3695:   DMSetCoarsenLevel - Sets the number of coarsenings that have generated this `DM`.

3697:   Collective

3699:   Input Parameters:
3700: + dm    - the `DM` object
3701: - level - number of coarsenings

3703:   Level: developer

3705:   Note:
3706:   This is rarely used directly, the information is automatically set when a `DM` is created with `DMCoarsen()`

3708: .seealso: [](ch_dmbase), `DM`, `DMCoarsen()`, `DMGetCoarsenLevel()`, `DMGetRefineLevel()`, `DMDestroy()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`
3709: @*/
3710: PetscErrorCode DMSetCoarsenLevel(DM dm, PetscInt level)
3711: {
3712:   PetscFunctionBegin;
3714:   dm->leveldown = level;
3715:   PetscFunctionReturn(PETSC_SUCCESS);
3716: }

3718: /*@
3719:   DMRefineHierarchy - Refines a `DM` object, all levels at once

3721:   Collective

3723:   Input Parameters:
3724: + dm      - the `DM` object
3725: - nlevels - the number of levels of refinement

3727:   Output Parameter:
3728: . dmf - the refined `DM` hierarchy

3730:   Level: developer

3732: .seealso: [](ch_dmbase), `DM`, `DMCoarsen()`, `DMCoarsenHierarchy()`, `DMDestroy()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`
3733: @*/
3734: PetscErrorCode DMRefineHierarchy(DM dm, PetscInt nlevels, DM dmf[])
3735: {
3736:   PetscFunctionBegin;
3738:   PetscCheck(nlevels >= 0, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "nlevels cannot be negative");
3739:   if (nlevels == 0) PetscFunctionReturn(PETSC_SUCCESS);
3740:   PetscAssertPointer(dmf, 3);
3741:   if (dm->ops->refine && !dm->ops->refinehierarchy) {
3742:     PetscInt i;

3744:     PetscCall(DMRefine(dm, PetscObjectComm((PetscObject)dm), &dmf[0]));
3745:     for (i = 1; i < nlevels; i++) PetscCall(DMRefine(dmf[i - 1], PetscObjectComm((PetscObject)dm), &dmf[i]));
3746:   } else PetscUseTypeMethod(dm, refinehierarchy, nlevels, dmf);
3747:   PetscFunctionReturn(PETSC_SUCCESS);
3748: }

3750: /*@
3751:   DMCoarsenHierarchy - Coarsens a `DM` object, all levels at once

3753:   Collective

3755:   Input Parameters:
3756: + dm      - the `DM` object
3757: - nlevels - the number of levels of coarsening

3759:   Output Parameter:
3760: . dmc - the coarsened `DM` hierarchy

3762:   Level: developer

3764: .seealso: [](ch_dmbase), `DM`, `DMCoarsen()`, `DMRefineHierarchy()`, `DMDestroy()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`
3765: @*/
3766: PetscErrorCode DMCoarsenHierarchy(DM dm, PetscInt nlevels, DM dmc[])
3767: {
3768:   PetscFunctionBegin;
3770:   PetscCheck(nlevels >= 0, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "nlevels cannot be negative");
3771:   if (nlevels == 0) PetscFunctionReturn(PETSC_SUCCESS);
3772:   PetscAssertPointer(dmc, 3);
3773:   if (dm->ops->coarsen && !dm->ops->coarsenhierarchy) {
3774:     PetscInt i;

3776:     PetscCall(DMCoarsen(dm, PetscObjectComm((PetscObject)dm), &dmc[0]));
3777:     for (i = 1; i < nlevels; i++) PetscCall(DMCoarsen(dmc[i - 1], PetscObjectComm((PetscObject)dm), &dmc[i]));
3778:   } else PetscUseTypeMethod(dm, coarsenhierarchy, nlevels, dmc);
3779:   PetscFunctionReturn(PETSC_SUCCESS);
3780: }

3782: /*@C
3783:   DMSetApplicationContextDestroy - Sets a user function that will be called to destroy the application context when the `DM` is destroyed

3785:   Logically Collective if the function is collective

3787:   Input Parameters:
3788: + dm      - the `DM` object
3789: - destroy - the destroy function, see `PetscCtxDestroyFn` for the calling sequence

3791:   Level: intermediate

3793: .seealso: [](ch_dmbase), `DM`, `DMSetApplicationContext()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`, `DMCreateColoring()`, `DMCreateMatrix()`, `DMCreateMassMatrix()`,
3794:           `DMGetApplicationContext()`, `PetscCtxDestroyFn`
3795: @*/
3796: PetscErrorCode DMSetApplicationContextDestroy(DM dm, PetscCtxDestroyFn *destroy)
3797: {
3798:   PetscFunctionBegin;
3800:   dm->ctxdestroy = destroy;
3801:   PetscFunctionReturn(PETSC_SUCCESS);
3802: }

3804: /*@
3805:   DMSetApplicationContext - Set a user context into a `DM` object

3807:   Not Collective

3809:   Input Parameters:
3810: + dm  - the `DM` object
3811: - ctx - the user context

3813:   Level: intermediate

3815:   Note:
3816:   A user context is a way to pass problem specific information that is accessible whenever the `DM` is available
3817:   In a multilevel solver, the user context is shared by all the `DM` in the hierarchy; it is thus not advisable
3818:   to store objects that represent discretized quantities inside the context.

3820:   Fortran Notes:
3821:   This only works when the context is a Fortran derived type or a `PetscObject`. Declare `ctx` with
3822: .vb
3823:   type(tUsertype), pointer :: ctx
3824: .ve

3826: .seealso: [](ch_dmbase), `DM`, `DMGetApplicationContext()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`, `DMCreateColoring()`, `DMCreateMatrix()`, `DMCreateMassMatrix()`
3827: @*/
3828: PetscErrorCode DMSetApplicationContext(DM dm, PetscCtx ctx)
3829: {
3830:   PetscFunctionBegin;
3832:   dm->ctx = ctx;
3833:   PetscFunctionReturn(PETSC_SUCCESS);
3834: }

3836: /*@
3837:   DMGetApplicationContext - Gets a user context from a `DM` object provided with `DMSetApplicationContext()`

3839:   Not Collective

3841:   Input Parameter:
3842: . dm - the `DM` object

3844:   Output Parameter:
3845: . ctx - a pointer to the user context

3847:   Level: intermediate

3849:   Note:
3850:   A user context is a way to pass problem specific information that is accessible whenever the `DM` is available

3852:   Fortran Notes:
3853:   This only works when the context is a Fortran derived type (it cannot be a `PetscObject`) and you **must** write a Fortran interface definition for this
3854:   function that tells the Fortran compiler the derived data type that is returned as the `ctx` argument. For example,
3855: .vb
3856:   Interface DMGetApplicationContext
3857:     Subroutine DMGetApplicationContext(dm,ctx,ierr)
3858:   #include <petsc/finclude/petscdm.h>
3859:       use petscdm
3860:       DM dm
3861:       type(tUsertype), pointer :: ctx
3862:       PetscErrorCode ierr
3863:     End Subroutine
3864:   End Interface DMGetApplicationContext
3865: .ve

3867:   The prototype for `ctx` must be
3868: .vb
3869:   type(tUsertype), pointer :: ctx
3870: .ve

3872: .seealso: [](ch_dmbase), `DM`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`, `DMCreateColoring()`, `DMCreateMatrix()`, `DMCreateMassMatrix()`
3873: @*/
3874: PetscErrorCode DMGetApplicationContext(DM dm, PetscCtxRt ctx)
3875: {
3876:   PetscFunctionBegin;
3878:   *(void **)ctx = dm->ctx;
3879:   PetscFunctionReturn(PETSC_SUCCESS);
3880: }

3882: /*@C
3883:   DMSetVariableBounds - sets a function to compute the lower and upper bound vectors for `SNESVI`.

3885:   Logically Collective

3887:   Input Parameters:
3888: + dm - the `DM` object
3889: - f  - the function that computes variable bounds used by `SNESVI` (use `NULL` to cancel a previous function that was set)

3891:   Calling sequence of f:
3892: + dm    - the `DM`
3893: . lower - the vector to hold the lower bounds
3894: - upper - the vector to hold the upper bounds

3896:   Level: intermediate

3898:   Developer Note:
3899:   Should be called `DMSetComputeVIBounds()` or something similar

3901: .seealso: [](ch_dmbase), `DM`, `DMComputeVariableBounds()`, `DMHasVariableBounds()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`, `DMCreateColoring()`, `DMCreateMatrix()`, `DMCreateMassMatrix()`, `DMGetApplicationContext()`,
3902:          `DMSetJacobian()`
3903: @*/
3904: PetscErrorCode DMSetVariableBounds(DM dm, PetscErrorCode (*f)(DM dm, Vec lower, Vec upper))
3905: {
3906:   PetscFunctionBegin;
3908:   dm->ops->computevariablebounds = f;
3909:   PetscFunctionReturn(PETSC_SUCCESS);
3910: }

3912: /*@
3913:   DMHasVariableBounds - does the `DM` object have a variable bounds function?

3915:   Not Collective

3917:   Input Parameter:
3918: . dm - the `DM` object to destroy

3920:   Output Parameter:
3921: . flg - `PETSC_TRUE` if the variable bounds function exists

3923:   Level: developer

3925: .seealso: [](ch_dmbase), `DM`, `DMComputeVariableBounds()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`, `DMCreateColoring()`, `DMCreateMatrix()`, `DMCreateMassMatrix()`, `DMGetApplicationContext()`
3926: @*/
3927: PetscErrorCode DMHasVariableBounds(DM dm, PetscBool *flg)
3928: {
3929:   PetscFunctionBegin;
3931:   PetscAssertPointer(flg, 2);
3932:   *flg = (dm->ops->computevariablebounds) ? PETSC_TRUE : PETSC_FALSE;
3933:   PetscFunctionReturn(PETSC_SUCCESS);
3934: }

3936: /*@
3937:   DMComputeVariableBounds - compute variable bounds used by `SNESVI`.

3939:   Logically Collective

3941:   Input Parameter:
3942: . dm - the `DM` object

3944:   Output Parameters:
3945: + xl - lower bound
3946: - xu - upper bound

3948:   Level: advanced

3950:   Note:
3951:   This is generally not called by users. It calls the function provided by the user with DMSetVariableBounds()

3953: .seealso: [](ch_dmbase), `DM`, `DMHasVariableBounds()`, `DMView()`, `DMCreateGlobalVector()`, `DMCreateInterpolation()`, `DMCreateColoring()`, `DMCreateMatrix()`, `DMCreateMassMatrix()`, `DMGetApplicationContext()`
3954: @*/
3955: PetscErrorCode DMComputeVariableBounds(DM dm, Vec xl, Vec xu)
3956: {
3957:   PetscFunctionBegin;
3961:   PetscUseTypeMethod(dm, computevariablebounds, xl, xu);
3962:   PetscFunctionReturn(PETSC_SUCCESS);
3963: }

3965: /*@
3966:   DMHasColoring - does the `DM` object have a method of providing a coloring?

3968:   Not Collective

3970:   Input Parameter:
3971: . dm - the DM object

3973:   Output Parameter:
3974: . flg - `PETSC_TRUE` if the `DM` has facilities for `DMCreateColoring()`.

3976:   Level: developer

3978: .seealso: [](ch_dmbase), `DM`, `DMCreateColoring()`
3979: @*/
3980: PetscErrorCode DMHasColoring(DM dm, PetscBool *flg)
3981: {
3982:   PetscFunctionBegin;
3984:   PetscAssertPointer(flg, 2);
3985:   *flg = (dm->ops->getcoloring) ? PETSC_TRUE : PETSC_FALSE;
3986:   PetscFunctionReturn(PETSC_SUCCESS);
3987: }

3989: /*@
3990:   DMHasCreateRestriction - does the `DM` object have a method of providing a restriction?

3992:   Not Collective

3994:   Input Parameter:
3995: . dm - the `DM` object

3997:   Output Parameter:
3998: . flg - `PETSC_TRUE` if the `DM` has facilities for `DMCreateRestriction()`.

4000:   Level: developer

4002: .seealso: [](ch_dmbase), `DM`, `DMCreateRestriction()`, `DMHasCreateInterpolation()`, `DMHasCreateInjection()`
4003: @*/
4004: PetscErrorCode DMHasCreateRestriction(DM dm, PetscBool *flg)
4005: {
4006:   PetscFunctionBegin;
4008:   PetscAssertPointer(flg, 2);
4009:   *flg = (dm->ops->createrestriction) ? PETSC_TRUE : PETSC_FALSE;
4010:   PetscFunctionReturn(PETSC_SUCCESS);
4011: }

4013: /*@
4014:   DMHasCreateInjection - does the `DM` object have a method of providing an injection?

4016:   Not Collective

4018:   Input Parameter:
4019: . dm - the `DM` object

4021:   Output Parameter:
4022: . flg - `PETSC_TRUE` if the `DM` has facilities for `DMCreateInjection()`.

4024:   Level: developer

4026: .seealso: [](ch_dmbase), `DM`, `DMCreateInjection()`, `DMHasCreateRestriction()`, `DMHasCreateInterpolation()`
4027: @*/
4028: PetscErrorCode DMHasCreateInjection(DM dm, PetscBool *flg)
4029: {
4030:   PetscFunctionBegin;
4032:   PetscAssertPointer(flg, 2);
4033:   if (dm->ops->hascreateinjection) PetscUseTypeMethod(dm, hascreateinjection, flg);
4034:   else *flg = (dm->ops->createinjection) ? PETSC_TRUE : PETSC_FALSE;
4035:   PetscFunctionReturn(PETSC_SUCCESS);
4036: }

4038: PetscFunctionList DMList              = NULL;
4039: PetscBool         DMRegisterAllCalled = PETSC_FALSE;

4041: /*@
4042:   DMSetType - Builds a `DM`, for a particular `DM` implementation.

4044:   Collective

4046:   Input Parameters:
4047: + dm     - The `DM` object
4048: - method - The name of the `DMType`, for example `DMDA`, `DMPLEX`

4050:   Options Database Key:
4051: . -dm_type type - Sets the `DM` type; use -help for a list of available types

4053:   Level: intermediate

4055:   Note:
4056:   Of the `DM` is constructed by directly calling a function to construct a particular `DM`, for example, `DMDACreate2d()` or `DMPlexCreateBoxMesh()`

4058: .seealso: [](ch_dmbase), `DM`, `DMType`, `DMDA`, `DMPLEX`, `DMGetType()`, `DMCreate()`, `DMDACreate2d()`
4059: @*/
4060: PetscErrorCode DMSetType(DM dm, DMType method)
4061: {
4062:   PetscErrorCode (*r)(DM);
4063:   PetscBool match;

4065:   PetscFunctionBegin;
4067:   PetscCall(PetscObjectTypeCompare((PetscObject)dm, method, &match));
4068:   if (match) PetscFunctionReturn(PETSC_SUCCESS);

4070:   PetscCall(DMRegisterAll());
4071:   PetscCall(PetscFunctionListFind(DMList, method, &r));
4072:   PetscCheck(r, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_UNKNOWN_TYPE, "Unknown DM type: %s", method);

4074:   PetscTryTypeMethod(dm, destroy);
4075:   PetscCall(PetscMemzero(dm->ops, sizeof(*dm->ops)));
4076:   PetscCall(PetscObjectChangeTypeName((PetscObject)dm, method));
4077:   PetscCall((*r)(dm));
4078:   PetscFunctionReturn(PETSC_SUCCESS);
4079: }

4081: /*@
4082:   DMGetType - Gets the `DM` type name (as a string) from the `DM`.

4084:   Not Collective

4086:   Input Parameter:
4087: . dm - The `DM`

4089:   Output Parameter:
4090: . type - The `DMType` name

4092:   Level: intermediate

4094:   Note:
4095:   `type` should not be retained for later use as it will be an invalid pointer if the `DMType` of `dm` is changed.

4097: .seealso: [](ch_dmbase), `DM`, `DMType`, `DMDA`, `DMPLEX`, `DMSetType()`, `DMCreate()`, `PetscObjectTypeCompare()`, `PetscObjectTypeCompareAny()`
4098: @*/
4099: PetscErrorCode DMGetType(DM dm, DMType *type)
4100: {
4101:   PetscFunctionBegin;
4103:   PetscAssertPointer(type, 2);
4104:   PetscCall(DMRegisterAll());
4105:   *type = ((PetscObject)dm)->type_name;
4106:   PetscFunctionReturn(PETSC_SUCCESS);
4107: }

4109: /*@
4110:   DMConvert - Converts a `DM` to another `DM`, either of the same or different type.

4112:   Collective

4114:   Input Parameters:
4115: + dm      - the `DM`
4116: - newtype - new `DM` type (use "same" for the same type)

4118:   Output Parameter:
4119: . M - pointer to new `DM`

4121:   Level: intermediate

4123:   Note:
4124:   Cannot be used to convert a sequential `DM` to a parallel or a parallel to sequential,
4125:   the MPI communicator of the generated `DM` is always the same as the communicator
4126:   of the input `DM`.

4128: .seealso: [](ch_dmbase), `DM`, `DMSetType()`, `DMCreate()`, `DMClone()`
4129: @*/
4130: PetscErrorCode DMConvert(DM dm, DMType newtype, DM *M)
4131: {
4132:   DM        B;
4133:   char      convname[256];
4134:   PetscBool sametype /*, issame */;

4136:   PetscFunctionBegin;
4139:   PetscAssertPointer(M, 3);
4140:   PetscCall(PetscObjectTypeCompare((PetscObject)dm, newtype, &sametype));
4141:   /* PetscCall(PetscStrcmp(newtype, "same", &issame)); */
4142:   if (sametype) {
4143:     *M = dm;
4144:     PetscCall(PetscObjectReference((PetscObject)dm));
4145:     PetscFunctionReturn(PETSC_SUCCESS);
4146:   } else {
4147:     PetscErrorCode (*conv)(DM, DMType, DM *) = NULL;

4149:     /*
4150:        Order of precedence:
4151:        1) See if a specialized converter is known to the current DM.
4152:        2) See if a specialized converter is known to the desired DM class.
4153:        3) See if a good general converter is registered for the desired class
4154:        4) See if a good general converter is known for the current matrix.
4155:        5) Use a really basic converter.
4156:     */

4158:     /* 1) See if a specialized converter is known to the current DM and the desired class */
4159:     PetscCall(PetscStrncpy(convname, "DMConvert_", sizeof(convname)));
4160:     PetscCall(PetscStrlcat(convname, ((PetscObject)dm)->type_name, sizeof(convname)));
4161:     PetscCall(PetscStrlcat(convname, "_", sizeof(convname)));
4162:     PetscCall(PetscStrlcat(convname, newtype, sizeof(convname)));
4163:     PetscCall(PetscStrlcat(convname, "_C", sizeof(convname)));
4164:     PetscCall(PetscObjectQueryFunction((PetscObject)dm, convname, &conv));
4165:     if (conv) goto foundconv;

4167:     /* 2)  See if a specialized converter is known to the desired DM class. */
4168:     PetscCall(DMCreate(PetscObjectComm((PetscObject)dm), &B));
4169:     PetscCall(DMSetType(B, newtype));
4170:     PetscCall(PetscStrncpy(convname, "DMConvert_", sizeof(convname)));
4171:     PetscCall(PetscStrlcat(convname, ((PetscObject)dm)->type_name, sizeof(convname)));
4172:     PetscCall(PetscStrlcat(convname, "_", sizeof(convname)));
4173:     PetscCall(PetscStrlcat(convname, newtype, sizeof(convname)));
4174:     PetscCall(PetscStrlcat(convname, "_C", sizeof(convname)));
4175:     PetscCall(PetscObjectQueryFunction((PetscObject)B, convname, &conv));
4176:     if (conv) {
4177:       PetscCall(DMDestroy(&B));
4178:       goto foundconv;
4179:     }

4181: #if 0
4182:     /* 3) See if a good general converter is registered for the desired class */
4183:     conv = B->ops->convertfrom;
4184:     PetscCall(DMDestroy(&B));
4185:     if (conv) goto foundconv;

4187:     /* 4) See if a good general converter is known for the current matrix */
4188:     if (dm->ops->convert) conv = dm->ops->convert;
4189:     if (conv) goto foundconv;
4190: #endif

4192:     /* 5) Use a really basic converter. */
4193:     SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "No conversion possible between DM types %s and %s", ((PetscObject)dm)->type_name, newtype);

4195:   foundconv:
4196:     PetscCall(PetscLogEventBegin(DM_Convert, dm, 0, 0, 0));
4197:     PetscCall((*conv)(dm, newtype, M));
4198:     /* Things that are independent of DM type: We should consult DMClone() here */
4199:     {
4200:       const PetscReal *maxCell, *Lstart, *L;

4202:       PetscCall(DMGetPeriodicity(dm, &maxCell, &Lstart, &L));
4203:       PetscCall(DMSetPeriodicity(*M, maxCell, Lstart, L));
4204:       (*M)->prealloc_only = dm->prealloc_only;
4205:       PetscCall(PetscFree((*M)->vectype));
4206:       PetscCall(PetscStrallocpy(dm->vectype, (char **)&(*M)->vectype));
4207:       PetscCall(PetscFree((*M)->mattype));
4208:       PetscCall(PetscStrallocpy(dm->mattype, (char **)&(*M)->mattype));
4209:     }
4210:     PetscCall(PetscLogEventEnd(DM_Convert, dm, 0, 0, 0));
4211:   }
4212:   PetscCall(PetscObjectStateIncrease((PetscObject)*M));
4213:   PetscFunctionReturn(PETSC_SUCCESS);
4214: }

4216: /*@C
4217:   DMRegister -  Adds a new `DM` type implementation

4219:   Not Collective, No Fortran Support

4221:   Input Parameters:
4222: + sname    - The name of a new user-defined creation routine
4223: - function - The creation routine itself

4225:   Calling sequence of function:
4226: . dm - the new `DM` that is being created

4228:   Level: advanced

4230:   Note:
4231:   `DMRegister()` may be called multiple times to add several user-defined `DM`s

4233:   Example Usage:
4234: .vb
4235:     DMRegister("my_da", MyDMCreate);
4236: .ve

4238:   Then, your `DM` type can be chosen with the procedural interface via
4239: .vb
4240:     DMCreate(MPI_Comm, DM *);
4241:     DMSetType(DM,"my_da");
4242: .ve
4243:   or at runtime via the option
4244: .vb
4245:     -da_type my_da
4246: .ve

4248: .seealso: [](ch_dmbase), `DM`, `DMType`, `DMSetType()`, `DMRegisterAll()`, `DMRegisterDestroy()`
4249: @*/
4250: PetscErrorCode DMRegister(const char sname[], PetscErrorCode (*function)(DM dm))
4251: {
4252:   PetscFunctionBegin;
4253:   PetscCall(DMInitializePackage());
4254:   PetscCall(PetscFunctionListAdd(&DMList, sname, function));
4255:   PetscFunctionReturn(PETSC_SUCCESS);
4256: }

4258: /*@
4259:   DMLoad - Loads a DM that has been stored in binary  with `DMView()`.

4261:   Collective

4263:   Input Parameters:
4264: + newdm  - the newly loaded `DM`, this needs to have been created with `DMCreate()` or
4265:            some related function before a call to `DMLoad()`.
4266: - viewer - binary file viewer, obtained from `PetscViewerBinaryOpen()` or
4267:            `PETSCVIEWERHDF5` file viewer, obtained from `PetscViewerHDF5Open()`

4269:   Level: intermediate

4271:   Notes:
4272:   The type is determined by the data in the file, any type set into the DM before this call is ignored.

4274:   Using `PETSCVIEWERHDF5` type with `PETSC_VIEWER_HDF5_PETSC` format, one can save multiple `DMPLEX`
4275:   meshes in a single HDF5 file. This in turn requires one to name the `DMPLEX` object with `PetscObjectSetName()`
4276:   before saving it with `DMView()` and before loading it with `DMLoad()` for identification of the mesh object.

4278: .seealso: [](ch_dmbase), `DM`, `PetscViewerBinaryOpen()`, `DMView()`, `MatLoad()`, `VecLoad()`
4279: @*/
4280: PetscErrorCode DMLoad(DM newdm, PetscViewer viewer)
4281: {
4282:   PetscBool isbinary, ishdf5;

4284:   PetscFunctionBegin;
4287:   PetscCall(PetscViewerCheckReadable(viewer));
4288:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERBINARY, &isbinary));
4289:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERHDF5, &ishdf5));
4290:   PetscCall(PetscLogEventBegin(DM_Load, viewer, 0, 0, 0));
4291:   if (isbinary) {
4292:     PetscInt classid;
4293:     char     type[256];

4295:     PetscCall(PetscViewerBinaryRead(viewer, &classid, 1, NULL, PETSC_INT));
4296:     PetscCheck(classid == DM_FILE_CLASSID, PetscObjectComm((PetscObject)newdm), PETSC_ERR_ARG_WRONG, "Not DM next in file, classid found %" PetscInt_FMT, classid);
4297:     PetscCall(PetscViewerBinaryRead(viewer, type, 256, NULL, PETSC_CHAR));
4298:     PetscCall(DMSetType(newdm, type));
4299:     PetscTryTypeMethod(newdm, load, viewer);
4300:   } else if (ishdf5) {
4301:     PetscTryTypeMethod(newdm, load, viewer);
4302:   } else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid viewer; open viewer with PetscViewerBinaryOpen() or PetscViewerHDF5Open()");
4303:   PetscCall(PetscLogEventEnd(DM_Load, viewer, 0, 0, 0));
4304:   PetscFunctionReturn(PETSC_SUCCESS);
4305: }

4307: /* FEM Support */

4309: PetscErrorCode DMPrintCellIndices(PetscInt c, const char name[], PetscInt len, const PetscInt x[])
4310: {
4311:   PetscInt f;

4313:   PetscFunctionBegin;
4314:   PetscCall(PetscPrintf(PETSC_COMM_SELF, "Cell %" PetscInt_FMT " Element %s\n", c, name));
4315:   for (f = 0; f < len; ++f) PetscCall(PetscPrintf(PETSC_COMM_SELF, "  | %" PetscInt_FMT " |\n", x[f]));
4316:   PetscFunctionReturn(PETSC_SUCCESS);
4317: }

4319: PetscErrorCode DMPrintCellVector(PetscInt c, const char name[], PetscInt len, const PetscScalar x[])
4320: {
4321:   PetscInt f;

4323:   PetscFunctionBegin;
4324:   PetscCall(PetscPrintf(PETSC_COMM_SELF, "Cell %" PetscInt_FMT " Element %s\n", c, name));
4325:   for (f = 0; f < len; ++f) PetscCall(PetscPrintf(PETSC_COMM_SELF, "  | %g |\n", (double)PetscRealPart(x[f])));
4326:   PetscFunctionReturn(PETSC_SUCCESS);
4327: }

4329: PetscErrorCode DMPrintCellVectorReal(PetscInt c, const char name[], PetscInt len, const PetscReal x[])
4330: {
4331:   PetscInt f;

4333:   PetscFunctionBegin;
4334:   PetscCall(PetscPrintf(PETSC_COMM_SELF, "Cell %" PetscInt_FMT " Element %s\n", c, name));
4335:   for (f = 0; f < len; ++f) PetscCall(PetscPrintf(PETSC_COMM_SELF, "  | %g |\n", (double)x[f]));
4336:   PetscFunctionReturn(PETSC_SUCCESS);
4337: }

4339: PetscErrorCode DMPrintCellMatrix(PetscInt c, const char name[], PetscInt rows, PetscInt cols, const PetscScalar A[])
4340: {
4341:   PetscInt f, g;

4343:   PetscFunctionBegin;
4344:   PetscCall(PetscPrintf(PETSC_COMM_SELF, "Cell %" PetscInt_FMT " Element %s\n", c, name));
4345:   for (f = 0; f < rows; ++f) {
4346:     PetscCall(PetscPrintf(PETSC_COMM_SELF, "  |"));
4347:     for (g = 0; g < cols; ++g) PetscCall(PetscPrintf(PETSC_COMM_SELF, " % 9.5g", (double)PetscRealPart(A[f * cols + g])));
4348:     PetscCall(PetscPrintf(PETSC_COMM_SELF, " |\n"));
4349:   }
4350:   PetscFunctionReturn(PETSC_SUCCESS);
4351: }

4353: PetscErrorCode DMPrintLocalVec(DM dm, const char name[], PetscReal tol, Vec X)
4354: {
4355:   PetscInt           localSize, bs;
4356:   PetscMPIInt        size;
4357:   Vec                x, xglob;
4358:   const PetscScalar *xarray;

4360:   PetscFunctionBegin;
4361:   PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)dm), &size));
4362:   PetscCall(VecDuplicate(X, &x));
4363:   PetscCall(VecCopy(X, x));
4364:   PetscCall(VecFilter(x, tol));
4365:   PetscCall(PetscPrintf(PetscObjectComm((PetscObject)dm), "%s:\n", name));
4366:   if (size > 1) {
4367:     PetscCall(VecGetLocalSize(x, &localSize));
4368:     PetscCall(VecGetArrayRead(x, &xarray));
4369:     PetscCall(VecGetBlockSize(x, &bs));
4370:     PetscCall(VecCreateMPIWithArray(PetscObjectComm((PetscObject)dm), bs, localSize, PETSC_DETERMINE, xarray, &xglob));
4371:   } else {
4372:     xglob = x;
4373:   }
4374:   PetscCall(VecView(xglob, PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)dm))));
4375:   if (size > 1) {
4376:     PetscCall(VecDestroy(&xglob));
4377:     PetscCall(VecRestoreArrayRead(x, &xarray));
4378:   }
4379:   PetscCall(VecDestroy(&x));
4380:   PetscFunctionReturn(PETSC_SUCCESS);
4381: }

4383: /*@
4384:   DMGetLocalSection - Get the `PetscSection` encoding the local data layout for the `DM`.

4386:   Input Parameter:
4387: . dm - The `DM`

4389:   Output Parameter:
4390: . section - The `PetscSection`

4392:   Options Database Key:
4393: . -dm_petscsection_view - View the section created by the `DM`

4395:   Level: intermediate

4397:   Note:
4398:   This gets a borrowed reference, so the user should not destroy this `PetscSection`.

4400: .seealso: [](ch_dmbase), `DM`, `DMSetLocalSection()`, `DMGetGlobalSection()`
4401: @*/
4402: PetscErrorCode DMGetLocalSection(DM dm, PetscSection *section)
4403: {
4404:   PetscFunctionBegin;
4406:   PetscAssertPointer(section, 2);
4407:   if (!dm->localSection && dm->ops->createlocalsection) {
4408:     PetscInt d;

4410:     if (dm->setfromoptionscalled) {
4411:       PetscObject       obj = (PetscObject)dm;
4412:       PetscViewer       viewer;
4413:       PetscViewerFormat format;
4414:       PetscBool         flg;

4416:       PetscCall(PetscOptionsCreateViewer(PetscObjectComm(obj), obj->options, obj->prefix, "-dm_petscds_view", &viewer, &format, &flg));
4417:       if (flg) PetscCall(PetscViewerPushFormat(viewer, format));
4418:       for (d = 0; d < dm->Nds; ++d) {
4419:         PetscCall(PetscDSSetFromOptions(dm->probs[d].ds));
4420:         if (flg) PetscCall(PetscDSView(dm->probs[d].ds, viewer));
4421:       }
4422:       if (flg) {
4423:         PetscCall(PetscViewerFlush(viewer));
4424:         PetscCall(PetscViewerPopFormat(viewer));
4425:         PetscCall(PetscViewerDestroy(&viewer));
4426:       }
4427:     }
4428:     PetscUseTypeMethod(dm, createlocalsection);
4429:     if (dm->localSection) PetscCall(PetscObjectViewFromOptions((PetscObject)dm->localSection, NULL, "-dm_petscsection_view"));
4430:   }
4431:   *section = dm->localSection;
4432:   PetscFunctionReturn(PETSC_SUCCESS);
4433: }

4435: /*@
4436:   DMSetLocalSection - Set the `PetscSection` encoding the local data layout for the `DM`.

4438:   Input Parameters:
4439: + dm      - The `DM`
4440: - section - The `PetscSection`

4442:   Level: intermediate

4444:   Note:
4445:   Any existing Section will be destroyed

4447: .seealso: [](ch_dmbase), `DM`, `PetscSection`, `DMGetLocalSection()`, `DMSetGlobalSection()`
4448: @*/
4449: PetscErrorCode DMSetLocalSection(DM dm, PetscSection section)
4450: {
4451:   PetscInt numFields = 0;
4452:   PetscInt f;

4454:   PetscFunctionBegin;
4457:   PetscCall(PetscObjectReference((PetscObject)section));
4458:   PetscCall(PetscSectionDestroy(&dm->localSection));
4459:   dm->localSection = section;
4460:   if (section) PetscCall(PetscSectionGetNumFields(dm->localSection, &numFields));
4461:   if (numFields) {
4462:     PetscCall(DMSetNumFields(dm, numFields));
4463:     for (f = 0; f < numFields; ++f) {
4464:       PetscObject disc;
4465:       const char *name;

4467:       PetscCall(PetscSectionGetFieldName(dm->localSection, f, &name));
4468:       PetscCall(DMGetField(dm, f, NULL, &disc));
4469:       PetscCall(PetscObjectSetName(disc, name));
4470:     }
4471:   }
4472:   /* The global section and the SectionSF will be rebuilt
4473:      in the next call to DMGetGlobalSection() and DMGetSectionSF(). */
4474:   PetscCall(PetscSectionDestroy(&dm->globalSection));
4475:   PetscCall(PetscSFDestroy(&dm->sectionSF));
4476:   PetscCall(PetscSFCreate(PetscObjectComm((PetscObject)dm), &dm->sectionSF));

4478:   /* Clear scratch vectors */
4479:   PetscCall(DMClearGlobalVectors(dm));
4480:   PetscCall(DMClearLocalVectors(dm));
4481:   PetscCall(DMClearNamedGlobalVectors(dm));
4482:   PetscCall(DMClearNamedLocalVectors(dm));
4483:   PetscFunctionReturn(PETSC_SUCCESS);
4484: }

4486: /*@C
4487:   DMCreateSectionPermutation - Create a permutation of the `PetscSection` chart and optionally a block structure.

4489:   Input Parameter:
4490: . dm - The `DM`

4492:   Output Parameters:
4493: + perm        - A permutation of the mesh points in the chart
4494: - blockStarts - A high bit is set for the point that begins every block, or `NULL` for default blocking

4496:   Level: developer

4498: .seealso: [](ch_dmbase), `DM`, `PetscSection`, `DMGetLocalSection()`, `DMGetGlobalSection()`
4499: @*/
4500: PetscErrorCode DMCreateSectionPermutation(DM dm, IS *perm, PetscBT *blockStarts)
4501: {
4502:   PetscFunctionBegin;
4503:   *perm        = NULL;
4504:   *blockStarts = NULL;
4505:   PetscTryTypeMethod(dm, createsectionpermutation, perm, blockStarts);
4506:   PetscFunctionReturn(PETSC_SUCCESS);
4507: }

4509: /*@
4510:   DMGetDefaultConstraints - Get the `PetscSection` and `Mat` that specify the local constraint interpolation. See `DMSetDefaultConstraints()` for a description of the purpose of constraint interpolation.

4512:   not Collective

4514:   Input Parameter:
4515: . dm - The `DM`

4517:   Output Parameters:
4518: + section - The `PetscSection` describing the range of the constraint matrix: relates rows of the constraint matrix to dofs of the default section.  Returns `NULL` if there are no local constraints.
4519: . mat     - The `Mat` that interpolates local constraints: its width should be the layout size of the default section.  Returns `NULL` if there are no local constraints.
4520: - bias    - Vector containing bias to be added to constrained dofs

4522:   Level: advanced

4524:   Note:
4525:   This gets borrowed references, so the user should not destroy the `PetscSection`, `Mat`, or `Vec`.

4527: .seealso: [](ch_dmbase), `DM`, `DMSetDefaultConstraints()`
4528: @*/
4529: PetscErrorCode DMGetDefaultConstraints(DM dm, PetscSection *section, Mat *mat, Vec *bias)
4530: {
4531:   PetscFunctionBegin;
4533:   if (!dm->defaultConstraint.section && !dm->defaultConstraint.mat && dm->ops->createdefaultconstraints) PetscUseTypeMethod(dm, createdefaultconstraints);
4534:   if (section) *section = dm->defaultConstraint.section;
4535:   if (mat) *mat = dm->defaultConstraint.mat;
4536:   if (bias) *bias = dm->defaultConstraint.bias;
4537:   PetscFunctionReturn(PETSC_SUCCESS);
4538: }

4540: /*@
4541:   DMSetDefaultConstraints - Set the `PetscSection` and `Mat` that specify the local constraint interpolation.

4543:   Collective

4545:   Input Parameters:
4546: + dm      - The `DM`
4547: . section - The `PetscSection` describing the range of the constraint matrix: relates rows of the constraint matrix to dofs of the default section.  Must have a local communicator (`PETSC_COMM_SELF` or derivative).
4548: . mat     - The `Mat` that interpolates local constraints: its width should be the layout size of the default section:  `NULL` indicates no constraints.  Must have a local communicator (`PETSC_COMM_SELF` or derivative).
4549: - bias    - A bias vector to be added to constrained values in the local vector.  `NULL` indicates no bias.  Must have a local communicator (`PETSC_COMM_SELF` or derivative).

4551:   Level: advanced

4553:   Notes:
4554:   If a constraint matrix is specified, then it is applied during `DMGlobalToLocalEnd()` when mode is `INSERT_VALUES`, `INSERT_BC_VALUES`, or `INSERT_ALL_VALUES`.  Without a constraint matrix, the local vector l returned by `DMGlobalToLocalEnd()` contains values that have been scattered from a global vector without modification; with a constraint matrix A, l is modified by computing c = A * l + bias, l[s[i]] = c[i], where the scatter s is defined by the `PetscSection` returned by `DMGetDefaultConstraints()`.

4556:   If a constraint matrix is specified, then its adjoint is applied during `DMLocalToGlobalBegin()` when mode is `ADD_VALUES`, `ADD_BC_VALUES`, or `ADD_ALL_VALUES`.  Without a constraint matrix, the local vector l is accumulated into a global vector without modification; with a constraint matrix A, l is first modified by computing c[i] = l[s[i]], l[s[i]] = 0, l = l + A'*c, which is the adjoint of the operation described above.  Any bias, if specified, is ignored when accumulating.

4558:   This increments the references of the `PetscSection`, `Mat`, and `Vec`, so they user can destroy them.

4560: .seealso: [](ch_dmbase), `DM`, `DMGetDefaultConstraints()`
4561: @*/
4562: PetscErrorCode DMSetDefaultConstraints(DM dm, PetscSection section, Mat mat, Vec bias)
4563: {
4564:   PetscMPIInt result;

4566:   PetscFunctionBegin;
4568:   if (section) {
4570:     PetscCallMPI(MPI_Comm_compare(PETSC_COMM_SELF, PetscObjectComm((PetscObject)section), &result));
4571:     PetscCheck(result == MPI_CONGRUENT || result == MPI_IDENT, PETSC_COMM_SELF, PETSC_ERR_ARG_NOTSAMECOMM, "constraint section must have local communicator");
4572:   }
4573:   if (mat) {
4575:     PetscCallMPI(MPI_Comm_compare(PETSC_COMM_SELF, PetscObjectComm((PetscObject)mat), &result));
4576:     PetscCheck(result == MPI_CONGRUENT || result == MPI_IDENT, PETSC_COMM_SELF, PETSC_ERR_ARG_NOTSAMECOMM, "constraint matrix must have local communicator");
4577:   }
4578:   if (bias) {
4580:     PetscCallMPI(MPI_Comm_compare(PETSC_COMM_SELF, PetscObjectComm((PetscObject)bias), &result));
4581:     PetscCheck(result == MPI_CONGRUENT || result == MPI_IDENT, PETSC_COMM_SELF, PETSC_ERR_ARG_NOTSAMECOMM, "constraint bias must have local communicator");
4582:   }
4583:   PetscCall(PetscObjectReference((PetscObject)section));
4584:   PetscCall(PetscSectionDestroy(&dm->defaultConstraint.section));
4585:   dm->defaultConstraint.section = section;
4586:   PetscCall(PetscObjectReference((PetscObject)mat));
4587:   PetscCall(MatDestroy(&dm->defaultConstraint.mat));
4588:   dm->defaultConstraint.mat = mat;
4589:   PetscCall(PetscObjectReference((PetscObject)bias));
4590:   PetscCall(VecDestroy(&dm->defaultConstraint.bias));
4591:   dm->defaultConstraint.bias = bias;
4592:   PetscFunctionReturn(PETSC_SUCCESS);
4593: }

4595: #if defined(PETSC_USE_DEBUG)
4596: /*
4597:   DMDefaultSectionCheckConsistency - Check the consistentcy of the global and local sections. Generates and error if they are not consistent.

4599:   Input Parameters:
4600: + dm - The `DM`
4601: . localSection - `PetscSection` describing the local data layout
4602: - globalSection - `PetscSection` describing the global data layout

4604:   Level: intermediate

4606: .seealso: [](ch_dmbase), `DM`, `DMGetSectionSF()`, `DMSetSectionSF()`
4607: */
4608: static PetscErrorCode DMDefaultSectionCheckConsistency_Internal(DM dm, PetscSection localSection, PetscSection globalSection)
4609: {
4610:   MPI_Comm        comm;
4611:   PetscLayout     layout;
4612:   const PetscInt *ranges;
4613:   PetscInt        pStart, pEnd, p, nroots;
4614:   PetscMPIInt     size, rank;
4615:   PetscBool       valid = PETSC_TRUE, gvalid;

4617:   PetscFunctionBegin;
4618:   PetscCall(PetscObjectGetComm((PetscObject)dm, &comm));
4620:   PetscCallMPI(MPI_Comm_size(comm, &size));
4621:   PetscCallMPI(MPI_Comm_rank(comm, &rank));
4622:   PetscCall(PetscSectionGetChart(globalSection, &pStart, &pEnd));
4623:   PetscCall(PetscSectionGetConstrainedStorageSize(globalSection, &nroots));
4624:   PetscCall(PetscLayoutCreate(comm, &layout));
4625:   PetscCall(PetscLayoutSetBlockSize(layout, 1));
4626:   PetscCall(PetscLayoutSetLocalSize(layout, nroots));
4627:   PetscCall(PetscLayoutSetUp(layout));
4628:   PetscCall(PetscLayoutGetRanges(layout, &ranges));
4629:   for (p = pStart; p < pEnd; ++p) {
4630:     PetscInt dof, cdof, off, gdof, gcdof, goff, gsize, d;

4632:     PetscCall(PetscSectionGetDof(localSection, p, &dof));
4633:     PetscCall(PetscSectionGetOffset(localSection, p, &off));
4634:     PetscCall(PetscSectionGetConstraintDof(localSection, p, &cdof));
4635:     PetscCall(PetscSectionGetDof(globalSection, p, &gdof));
4636:     PetscCall(PetscSectionGetConstraintDof(globalSection, p, &gcdof));
4637:     PetscCall(PetscSectionGetOffset(globalSection, p, &goff));
4638:     if (!gdof) continue; /* Censored point */
4639:     if ((gdof < 0 ? -(gdof + 1) : gdof) != dof) {
4640:       PetscCall(PetscSynchronizedPrintf(comm, "[%d]Global dof %" PetscInt_FMT " for point %" PetscInt_FMT " not equal to local dof %" PetscInt_FMT "\n", rank, gdof, p, dof));
4641:       valid = PETSC_FALSE;
4642:     }
4643:     if (gcdof && (gcdof != cdof)) {
4644:       PetscCall(PetscSynchronizedPrintf(comm, "[%d]Global constraints %" PetscInt_FMT " for point %" PetscInt_FMT " not equal to local constraints %" PetscInt_FMT "\n", rank, gcdof, p, cdof));
4645:       valid = PETSC_FALSE;
4646:     }
4647:     if (gdof < 0) {
4648:       gsize = gdof < 0 ? -(gdof + 1) - gcdof : gdof - gcdof;
4649:       for (d = 0; d < gsize; ++d) {
4650:         PetscInt offset = -(goff + 1) + d, r;

4652:         PetscCall(PetscFindInt(offset, size + 1, ranges, &r));
4653:         if (r < 0) r = -(r + 2);
4654:         if ((r < 0) || (r >= size)) {
4655:           PetscCall(PetscSynchronizedPrintf(comm, "[%d]Point %" PetscInt_FMT " mapped to invalid process %" PetscInt_FMT " (%" PetscInt_FMT ", %" PetscInt_FMT ")\n", rank, p, r, gdof, goff));
4656:           valid = PETSC_FALSE;
4657:           break;
4658:         }
4659:       }
4660:     }
4661:   }
4662:   PetscCall(PetscLayoutDestroy(&layout));
4663:   PetscCall(PetscSynchronizedFlush(comm, NULL));
4664:   PetscCallMPI(MPIU_Allreduce(&valid, &gvalid, 1, MPI_C_BOOL, MPI_LAND, comm));
4665:   if (!gvalid) {
4666:     PetscCall(DMView(dm, NULL));
4667:     SETERRQ(comm, PETSC_ERR_ARG_WRONG, "Inconsistent local and global sections");
4668:   }
4669:   PetscFunctionReturn(PETSC_SUCCESS);
4670: }
4671: #endif

4673: PetscErrorCode DMGetIsoperiodicPointSF_Internal(DM dm, PetscSF *sf)
4674: {
4675:   PetscErrorCode (*f)(DM, PetscSF *);

4677:   PetscFunctionBegin;
4679:   PetscAssertPointer(sf, 2);
4680:   PetscCall(PetscObjectQueryFunction((PetscObject)dm, "DMGetIsoperiodicPointSF_C", &f));
4681:   if (f) PetscCall(f(dm, sf));
4682:   else *sf = dm->sf;
4683:   PetscFunctionReturn(PETSC_SUCCESS);
4684: }

4686: /*@
4687:   DMGetGlobalSection - Get the `PetscSection` encoding the global data layout for the `DM`.

4689:   Collective

4691:   Input Parameter:
4692: . dm - The `DM`

4694:   Output Parameter:
4695: . section - The `PetscSection`

4697:   Level: intermediate

4699:   Note:
4700:   This gets a borrowed reference, so the user should not destroy this `PetscSection`.

4702: .seealso: [](ch_dmbase), `DM`, `DMSetLocalSection()`, `DMGetLocalSection()`
4703: @*/
4704: PetscErrorCode DMGetGlobalSection(DM dm, PetscSection *section)
4705: {
4706:   PetscFunctionBegin;
4708:   PetscAssertPointer(section, 2);
4709:   if (!dm->globalSection) {
4710:     PetscSection s;
4711:     PetscSF      sf;

4713:     PetscCall(DMGetLocalSection(dm, &s));
4714:     PetscCheck(s, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONGSTATE, "DM must have a default PetscSection in order to create a global PetscSection");
4715:     PetscCheck(dm->sf, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONGSTATE, "DM must have a point PetscSF in order to create a global PetscSection");
4716:     PetscCall(DMGetIsoperiodicPointSF_Internal(dm, &sf));
4717:     PetscCall(PetscSectionCreateGlobalSection(s, sf, PETSC_TRUE, PETSC_FALSE, PETSC_FALSE, &dm->globalSection));
4718:     PetscCall(PetscLayoutDestroy(&dm->map));
4719:     PetscCall(PetscSectionGetValueLayout(PetscObjectComm((PetscObject)dm), dm->globalSection, &dm->map));
4720:     PetscCall(PetscSectionViewFromOptions(dm->globalSection, NULL, "-global_section_view"));
4721:   }
4722:   *section = dm->globalSection;
4723:   PetscFunctionReturn(PETSC_SUCCESS);
4724: }

4726: /*@
4727:   DMSetGlobalSection - Set the `PetscSection` encoding the global data layout for the `DM`.

4729:   Input Parameters:
4730: + dm      - The `DM`
4731: - section - The PetscSection, or `NULL`

4733:   Level: intermediate

4735:   Note:
4736:   Any existing `PetscSection` will be destroyed

4738: .seealso: [](ch_dmbase), `DM`, `DMGetGlobalSection()`, `DMSetLocalSection()`
4739: @*/
4740: PetscErrorCode DMSetGlobalSection(DM dm, PetscSection section)
4741: {
4742:   PetscFunctionBegin;
4745:   PetscCall(PetscObjectReference((PetscObject)section));
4746:   PetscCall(PetscSectionDestroy(&dm->globalSection));
4747:   dm->globalSection = section;
4748: #if defined(PETSC_USE_DEBUG)
4749:   if (section) PetscCall(DMDefaultSectionCheckConsistency_Internal(dm, dm->localSection, section));
4750: #endif
4751:   /* Clear global scratch vectors and sectionSF */
4752:   PetscCall(PetscSFDestroy(&dm->sectionSF));
4753:   PetscCall(PetscSFCreate(PetscObjectComm((PetscObject)dm), &dm->sectionSF));
4754:   PetscCall(DMClearGlobalVectors(dm));
4755:   PetscCall(DMClearNamedGlobalVectors(dm));
4756:   PetscFunctionReturn(PETSC_SUCCESS);
4757: }

4759: /*@
4760:   DMGetSectionSF - Get the `PetscSF` encoding the parallel dof overlap for the `DM`. If it has not been set,
4761:   it is created from the default `PetscSection` layouts in the `DM`.

4763:   Input Parameter:
4764: . dm - The `DM`

4766:   Output Parameter:
4767: . sf - The `PetscSF`

4769:   Level: intermediate

4771:   Note:
4772:   This gets a borrowed reference, so the user should not destroy this `PetscSF`.

4774: .seealso: [](ch_dmbase), `DM`, `DMSetSectionSF()`, `DMCreateSectionSF()`
4775: @*/
4776: PetscErrorCode DMGetSectionSF(DM dm, PetscSF *sf)
4777: {
4778:   PetscInt nroots;

4780:   PetscFunctionBegin;
4782:   PetscAssertPointer(sf, 2);
4783:   if (!dm->sectionSF) PetscCall(PetscSFCreate(PetscObjectComm((PetscObject)dm), &dm->sectionSF));
4784:   PetscCall(PetscSFGetGraph(dm->sectionSF, &nroots, NULL, NULL, NULL));
4785:   if (nroots < 0) {
4786:     PetscSection section, gSection;

4788:     PetscCall(DMGetLocalSection(dm, &section));
4789:     if (section) {
4790:       PetscCall(DMGetGlobalSection(dm, &gSection));
4791:       PetscCall(DMCreateSectionSF(dm, section, gSection));
4792:     } else {
4793:       *sf = NULL;
4794:       PetscFunctionReturn(PETSC_SUCCESS);
4795:     }
4796:   }
4797:   *sf = dm->sectionSF;
4798:   PetscFunctionReturn(PETSC_SUCCESS);
4799: }

4801: /*@
4802:   DMSetSectionSF - Set the `PetscSF` encoding the parallel dof overlap for the `DM`

4804:   Input Parameters:
4805: + dm - The `DM`
4806: - sf - The `PetscSF`

4808:   Level: intermediate

4810:   Note:
4811:   Any previous `PetscSF` is destroyed

4813: .seealso: [](ch_dmbase), `DM`, `DMGetSectionSF()`, `DMCreateSectionSF()`
4814: @*/
4815: PetscErrorCode DMSetSectionSF(DM dm, PetscSF sf)
4816: {
4817:   PetscFunctionBegin;
4820:   PetscCall(PetscObjectReference((PetscObject)sf));
4821:   PetscCall(PetscSFDestroy(&dm->sectionSF));
4822:   dm->sectionSF = sf;
4823:   PetscFunctionReturn(PETSC_SUCCESS);
4824: }

4826: /*@
4827:   DMCreateSectionSF - Create the `PetscSF` encoding the parallel dof overlap for the `DM` based upon the `PetscSection`s
4828:   describing the data layout.

4830:   Input Parameters:
4831: + dm            - The `DM`
4832: . localSection  - `PetscSection` describing the local data layout
4833: - globalSection - `PetscSection` describing the global data layout

4835:   Level: developer

4837:   Note:
4838:   One usually uses `DMGetSectionSF()` to obtain the `PetscSF`

4840:   Developer Note:
4841:   Since this routine has for arguments the two sections from the `DM` and puts the resulting `PetscSF`
4842:   directly into the `DM`, perhaps this function should not take the local and global sections as
4843:   input and should just obtain them from the `DM`? Plus PETSc creation functions return the thing
4844:   they create, this returns nothing

4846: .seealso: [](ch_dmbase), `DM`, `DMGetSectionSF()`, `DMSetSectionSF()`, `DMGetLocalSection()`, `DMGetGlobalSection()`
4847: @*/
4848: PetscErrorCode DMCreateSectionSF(DM dm, PetscSection localSection, PetscSection globalSection)
4849: {
4850:   PetscFunctionBegin;
4852:   PetscCall(PetscSFSetGraphSection(dm->sectionSF, localSection, globalSection));
4853:   PetscFunctionReturn(PETSC_SUCCESS);
4854: }

4856: /*@
4857:   DMGetPointSF - Get the `PetscSF` encoding the parallel section point overlap for the `DM`.

4859:   Not collective but the resulting `PetscSF` is collective

4861:   Input Parameter:
4862: . dm - The `DM`

4864:   Output Parameter:
4865: . sf - The `PetscSF`

4867:   Level: intermediate

4869:   Note:
4870:   This gets a borrowed reference, so the user should not destroy this `PetscSF`.

4872: .seealso: [](ch_dmbase), `DM`, `DMSetPointSF()`, `DMGetSectionSF()`, `DMSetSectionSF()`, `DMCreateSectionSF()`
4873: @*/
4874: PetscErrorCode DMGetPointSF(DM dm, PetscSF *sf)
4875: {
4876:   PetscFunctionBegin;
4878:   PetscAssertPointer(sf, 2);
4879:   *sf = dm->sf;
4880:   PetscFunctionReturn(PETSC_SUCCESS);
4881: }

4883: /*@
4884:   DMSetPointSF - Set the `PetscSF` encoding the parallel section point overlap for the `DM`.

4886:   Collective

4888:   Input Parameters:
4889: + dm - The `DM`
4890: - sf - The `PetscSF`

4892:   Level: intermediate

4894: .seealso: [](ch_dmbase), `DM`, `DMGetPointSF()`, `DMGetSectionSF()`, `DMSetSectionSF()`, `DMCreateSectionSF()`
4895: @*/
4896: PetscErrorCode DMSetPointSF(DM dm, PetscSF sf)
4897: {
4898:   PetscFunctionBegin;
4901:   PetscCall(PetscObjectReference((PetscObject)sf));
4902:   PetscCall(PetscSFDestroy(&dm->sf));
4903:   dm->sf = sf;
4904:   PetscFunctionReturn(PETSC_SUCCESS);
4905: }

4907: /*@
4908:   DMGetNaturalSF - Get the `PetscSF` encoding the map back to the original mesh ordering

4910:   Input Parameter:
4911: . dm - The `DM`

4913:   Output Parameter:
4914: . sf - The `PetscSF`

4916:   Level: intermediate

4918:   Note:
4919:   This gets a borrowed reference, so the user should not destroy this `PetscSF`.

4921: .seealso: [](ch_dmbase), `DM`, `DMSetNaturalSF()`, `DMSetUseNatural()`, `DMGetUseNatural()`, `DMPlexCreateGlobalToNaturalSF()`, `DMPlexDistribute()`
4922: @*/
4923: PetscErrorCode DMGetNaturalSF(DM dm, PetscSF *sf)
4924: {
4925:   PetscFunctionBegin;
4927:   PetscAssertPointer(sf, 2);
4928:   *sf = dm->sfNatural;
4929:   PetscFunctionReturn(PETSC_SUCCESS);
4930: }

4932: /*@
4933:   DMSetNaturalSF - Set the PetscSF encoding the map back to the original mesh ordering

4935:   Input Parameters:
4936: + dm - The DM
4937: - sf - The PetscSF

4939:   Level: intermediate

4941: .seealso: [](ch_dmbase), `DM`, `DMGetNaturalSF()`, `DMSetUseNatural()`, `DMGetUseNatural()`, `DMPlexCreateGlobalToNaturalSF()`, `DMPlexDistribute()`
4942: @*/
4943: PetscErrorCode DMSetNaturalSF(DM dm, PetscSF sf)
4944: {
4945:   PetscFunctionBegin;
4948:   PetscCall(PetscObjectReference((PetscObject)sf));
4949:   PetscCall(PetscSFDestroy(&dm->sfNatural));
4950:   dm->sfNatural = sf;
4951:   PetscFunctionReturn(PETSC_SUCCESS);
4952: }

4954: static PetscErrorCode DMSetDefaultAdjacency_Private(DM dm, PetscInt f, PetscObject disc)
4955: {
4956:   PetscClassId id;

4958:   PetscFunctionBegin;
4959:   PetscCall(PetscObjectGetClassId(disc, &id));
4960:   if (id == PETSCFE_CLASSID) PetscCall(DMSetAdjacency(dm, f, PETSC_FALSE, PETSC_TRUE));
4961:   else if (id == PETSCFV_CLASSID) PetscCall(DMSetAdjacency(dm, f, PETSC_TRUE, PETSC_FALSE));
4962:   else PetscCall(DMSetAdjacency(dm, f, PETSC_FALSE, PETSC_TRUE));
4963:   PetscFunctionReturn(PETSC_SUCCESS);
4964: }

4966: static PetscErrorCode DMFieldEnlarge_Static(DM dm, PetscInt NfNew)
4967: {
4968:   RegionField *tmpr;
4969:   PetscInt     Nf = dm->Nf, f;

4971:   PetscFunctionBegin;
4972:   if (Nf >= NfNew) PetscFunctionReturn(PETSC_SUCCESS);
4973:   PetscCall(PetscMalloc1(NfNew, &tmpr));
4974:   for (f = 0; f < Nf; ++f) tmpr[f] = dm->fields[f];
4975:   for (f = Nf; f < NfNew; ++f) {
4976:     tmpr[f].disc        = NULL;
4977:     tmpr[f].label       = NULL;
4978:     tmpr[f].avoidTensor = PETSC_FALSE;
4979:   }
4980:   PetscCall(PetscFree(dm->fields));
4981:   dm->Nf     = NfNew;
4982:   dm->fields = tmpr;
4983:   PetscFunctionReturn(PETSC_SUCCESS);
4984: }

4986: /*@
4987:   DMClearFields - Remove all fields from the `DM`

4989:   Logically Collective

4991:   Input Parameter:
4992: . dm - The `DM`

4994:   Level: intermediate

4996: .seealso: [](ch_dmbase), `DM`, `DMGetNumFields()`, `DMSetNumFields()`, `DMSetField()`
4997: @*/
4998: PetscErrorCode DMClearFields(DM dm)
4999: {
5000:   PetscInt f;

5002:   PetscFunctionBegin;
5004:   if (!dm->fields) PetscFunctionReturn(PETSC_SUCCESS); // DMDA does not use fields field in DM
5005:   for (f = 0; f < dm->Nf; ++f) {
5006:     PetscCall(PetscObjectDestroy(&dm->fields[f].disc));
5007:     PetscCall(DMLabelDestroy(&dm->fields[f].label));
5008:   }
5009:   PetscCall(PetscFree(dm->fields));
5010:   dm->fields = NULL;
5011:   dm->Nf     = 0;
5012:   PetscFunctionReturn(PETSC_SUCCESS);
5013: }

5015: /*@
5016:   DMGetNumFields - Get the number of fields in the `DM`

5018:   Not Collective

5020:   Input Parameter:
5021: . dm - The `DM`

5023:   Output Parameter:
5024: . numFields - The number of fields

5026:   Level: intermediate

5028: .seealso: [](ch_dmbase), `DM`, `DMSetNumFields()`, `DMSetField()`
5029: @*/
5030: PetscErrorCode DMGetNumFields(DM dm, PetscInt *numFields)
5031: {
5032:   PetscFunctionBegin;
5034:   PetscAssertPointer(numFields, 2);
5035:   *numFields = dm->Nf;
5036:   PetscFunctionReturn(PETSC_SUCCESS);
5037: }

5039: /*@
5040:   DMSetNumFields - Set the number of fields in the `DM`

5042:   Logically Collective

5044:   Input Parameters:
5045: + dm        - The `DM`
5046: - numFields - The number of fields

5048:   Level: intermediate

5050: .seealso: [](ch_dmbase), `DM`, `DMGetNumFields()`, `DMSetField()`
5051: @*/
5052: PetscErrorCode DMSetNumFields(DM dm, PetscInt numFields)
5053: {
5054:   PetscInt Nf, f;

5056:   PetscFunctionBegin;
5058:   PetscCall(DMGetNumFields(dm, &Nf));
5059:   for (f = Nf; f < numFields; ++f) {
5060:     PetscContainer obj;

5062:     PetscCall(PetscContainerCreate(PetscObjectComm((PetscObject)dm), &obj));
5063:     PetscCall(DMAddField(dm, NULL, (PetscObject)obj));
5064:     PetscCall(PetscContainerDestroy(&obj));
5065:   }
5066:   PetscFunctionReturn(PETSC_SUCCESS);
5067: }

5069: /*@
5070:   DMGetField - Return the `DMLabel` and discretization object for a given `DM` field

5072:   Not Collective

5074:   Input Parameters:
5075: + dm - The `DM`
5076: - f  - The field number

5078:   Output Parameters:
5079: + label - The label indicating the support of the field, or `NULL` for the entire mesh (pass in `NULL` if not needed)
5080: - disc  - The discretization object (pass in `NULL` if not needed)

5082:   Level: intermediate

5084: .seealso: [](ch_dmbase), `DM`, `DMAddField()`, `DMSetField()`
5085: @*/
5086: PetscErrorCode DMGetField(DM dm, PetscInt f, DMLabel *label, PetscObject *disc)
5087: {
5088:   PetscFunctionBegin;
5090:   PetscAssertPointer(disc, 4);
5091:   PetscCheck((f >= 0) && (f < dm->Nf), PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Field number %" PetscInt_FMT " must be in [0, %" PetscInt_FMT ")", f, dm->Nf);
5092:   if (!dm->fields) {
5093:     if (label) *label = NULL;
5094:     if (disc) *disc = NULL;
5095:   } else { // some DM such as DMDA do not have dm->fields
5096:     if (label) *label = dm->fields[f].label;
5097:     if (disc) *disc = dm->fields[f].disc;
5098:   }
5099:   PetscFunctionReturn(PETSC_SUCCESS);
5100: }

5102: /* Does not clear the DS */
5103: PetscErrorCode DMSetField_Internal(DM dm, PetscInt f, DMLabel label, PetscObject disc)
5104: {
5105:   PetscFunctionBegin;
5106:   PetscCall(DMFieldEnlarge_Static(dm, f + 1));
5107:   PetscCall(DMLabelDestroy(&dm->fields[f].label));
5108:   PetscCall(PetscObjectDestroy(&dm->fields[f].disc));
5109:   dm->fields[f].label = label;
5110:   dm->fields[f].disc  = disc;
5111:   PetscCall(PetscObjectReference((PetscObject)label));
5112:   PetscCall(PetscObjectReference(disc));
5113:   PetscFunctionReturn(PETSC_SUCCESS);
5114: }

5116: /*@
5117:   DMSetField - Set the discretization object for a given `DM` field. Usually one would call `DMAddField()` which automatically handles
5118:   the field numbering.

5120:   Logically Collective

5122:   Input Parameters:
5123: + dm    - The `DM`
5124: . f     - The field number
5125: . label - The label indicating the support of the field, or `NULL` for the entire mesh
5126: - disc  - The discretization object

5128:   Level: intermediate

5130: .seealso: [](ch_dmbase), `DM`, `DMAddField()`, `DMGetField()`
5131: @*/
5132: PetscErrorCode DMSetField(DM dm, PetscInt f, DMLabel label, PetscObject disc)
5133: {
5134:   PetscFunctionBegin;
5138:   PetscCheck(f >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Field number %" PetscInt_FMT " must be non-negative", f);
5139:   PetscCall(DMSetField_Internal(dm, f, label, disc));
5140:   PetscCall(DMSetDefaultAdjacency_Private(dm, f, disc));
5141:   PetscCall(DMClearDS(dm));
5142:   PetscFunctionReturn(PETSC_SUCCESS);
5143: }

5145: /*@
5146:   DMAddField - Add a field to a `DM` object. A field is a function space defined by of a set of discretization points (geometric entities)
5147:   and a discretization object that defines the function space associated with those points.

5149:   Logically Collective

5151:   Input Parameters:
5152: + dm    - The `DM`
5153: . label - The label indicating the support of the field, or `NULL` for the entire mesh
5154: - disc  - The discretization object

5156:   Level: intermediate

5158:   Notes:
5159:   The label already exists or will be added to the `DM` with `DMSetLabel()`.

5161:   For example, a piecewise continuous pressure field can be defined by coefficients at the cell centers of a mesh and piecewise constant functions
5162:   within each cell. Thus a specific function in the space is defined by the combination of a `Vec` containing the coefficients, a `DM` defining the
5163:   geometry entities, a `DMLabel` indicating a subset of those geometric entities, and a discretization object, such as a `PetscFE`.

5165:   Fortran Note:
5166:   Use the argument `PetscObjectCast(disc)` as the second argument

5168: .seealso: [](ch_dmbase), `DM`, `DMSetLabel()`, `DMSetField()`, `DMGetField()`, `PetscFE`
5169: @*/
5170: PetscErrorCode DMAddField(DM dm, DMLabel label, PetscObject disc)
5171: {
5172:   PetscInt Nf = dm->Nf;

5174:   PetscFunctionBegin;
5178:   PetscCall(DMFieldEnlarge_Static(dm, Nf + 1));
5179:   dm->fields[Nf].label = label;
5180:   dm->fields[Nf].disc  = disc;
5181:   PetscCall(PetscObjectReference((PetscObject)label));
5182:   PetscCall(PetscObjectReference(disc));
5183:   PetscCall(DMSetDefaultAdjacency_Private(dm, Nf, disc));
5184:   PetscCall(DMClearDS(dm));
5185:   PetscFunctionReturn(PETSC_SUCCESS);
5186: }

5188: /*@
5189:   DMSetFieldAvoidTensor - Set flag to avoid defining the field on tensor cells

5191:   Logically Collective

5193:   Input Parameters:
5194: + dm          - The `DM`
5195: . f           - The field index
5196: - avoidTensor - `PETSC_TRUE` to skip defining the field on tensor cells

5198:   Level: intermediate

5200: .seealso: [](ch_dmbase), `DM`, `DMGetFieldAvoidTensor()`, `DMSetField()`, `DMGetField()`
5201: @*/
5202: PetscErrorCode DMSetFieldAvoidTensor(DM dm, PetscInt f, PetscBool avoidTensor)
5203: {
5204:   PetscFunctionBegin;
5205:   PetscCheck((f >= 0) && (f < dm->Nf), PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Field %" PetscInt_FMT " is not in [0, %" PetscInt_FMT ")", f, dm->Nf);
5206:   dm->fields[f].avoidTensor = avoidTensor;
5207:   PetscFunctionReturn(PETSC_SUCCESS);
5208: }

5210: /*@
5211:   DMGetFieldAvoidTensor - Get flag to avoid defining the field on tensor cells

5213:   Not Collective

5215:   Input Parameters:
5216: + dm - The `DM`
5217: - f  - The field index

5219:   Output Parameter:
5220: . avoidTensor - The flag to avoid defining the field on tensor cells

5222:   Level: intermediate

5224: .seealso: [](ch_dmbase), `DM`, `DMAddField()`, `DMSetField()`, `DMGetField()`, `DMSetFieldAvoidTensor()`
5225: @*/
5226: PetscErrorCode DMGetFieldAvoidTensor(DM dm, PetscInt f, PetscBool *avoidTensor)
5227: {
5228:   PetscFunctionBegin;
5229:   PetscCheck((f >= 0) && (f < dm->Nf), PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Field %" PetscInt_FMT " is not in [0, %" PetscInt_FMT ")", f, dm->Nf);
5230:   *avoidTensor = dm->fields[f].avoidTensor;
5231:   PetscFunctionReturn(PETSC_SUCCESS);
5232: }

5234: /*@
5235:   DMCopyFields - Copy the discretizations for the `DM` into another `DM`

5237:   Collective

5239:   Input Parameters:
5240: + dm        - The `DM`
5241: . minDegree - Minimum degree for a discretization, or `PETSC_DETERMINE` for no limit
5242: - maxDegree - Maximum degree for a discretization, or `PETSC_DETERMINE` for no limit

5244:   Output Parameter:
5245: . newdm - The `DM`

5247:   Level: advanced

5249: .seealso: [](ch_dmbase), `DM`, `DMGetField()`, `DMSetField()`, `DMAddField()`, `DMCopyDS()`, `DMGetDS()`, `DMGetCellDS()`
5250: @*/
5251: PetscErrorCode DMCopyFields(DM dm, PetscInt minDegree, PetscInt maxDegree, DM newdm)
5252: {
5253:   PetscInt Nf, f;

5255:   PetscFunctionBegin;
5256:   if (dm == newdm) PetscFunctionReturn(PETSC_SUCCESS);
5257:   PetscCall(DMGetNumFields(dm, &Nf));
5258:   PetscCall(DMClearFields(newdm));
5259:   for (f = 0; f < Nf; ++f) {
5260:     DMLabel      label;
5261:     PetscObject  field;
5262:     PetscClassId id;
5263:     PetscBool    useCone, useClosure;

5265:     PetscCall(DMGetField(dm, f, &label, &field));
5266:     PetscCall(PetscObjectGetClassId(field, &id));
5267:     if (id == PETSCFE_CLASSID) {
5268:       PetscFE newfe;

5270:       PetscCall(PetscFELimitDegree((PetscFE)field, minDegree, maxDegree, &newfe));
5271:       PetscCall(DMSetField(newdm, f, label, (PetscObject)newfe));
5272:       PetscCall(PetscFEDestroy(&newfe));
5273:     } else {
5274:       PetscCall(DMSetField(newdm, f, label, field));
5275:     }
5276:     PetscCall(DMGetAdjacency(dm, f, &useCone, &useClosure));
5277:     PetscCall(DMSetAdjacency(newdm, f, useCone, useClosure));
5278:   }
5279:   // Create nullspace constructor slots
5280:   if (dm->nullspaceConstructors) {
5281:     PetscCall(PetscFree2(newdm->nullspaceConstructors, newdm->nearnullspaceConstructors));
5282:     PetscCall(PetscCalloc2(Nf, &newdm->nullspaceConstructors, Nf, &newdm->nearnullspaceConstructors));
5283:   }
5284:   PetscFunctionReturn(PETSC_SUCCESS);
5285: }

5287: /*@
5288:   DMGetAdjacency - Returns the flags for determining variable influence

5290:   Not Collective

5292:   Input Parameters:
5293: + dm - The `DM` object
5294: - f  - The field number, or `PETSC_DEFAULT` for the default adjacency

5296:   Output Parameters:
5297: + useCone    - Flag for variable influence starting with the cone operation
5298: - useClosure - Flag for variable influence using transitive closure

5300:   Level: developer

5302:   Notes:
5303: .vb
5304:      FEM:   Two points p and q are adjacent if q \in closure(star(p)),   useCone = PETSC_FALSE, useClosure = PETSC_TRUE
5305:      FVM:   Two points p and q are adjacent if q \in support(p+cone(p)), useCone = PETSC_TRUE,  useClosure = PETSC_FALSE
5306:      FVM++: Two points p and q are adjacent if q \in star(closure(p)),   useCone = PETSC_TRUE,  useClosure = PETSC_TRUE
5307: .ve
5308:   Further explanation can be found in the User's Manual Section on the Influence of Variables on One Another.

5310: .seealso: [](ch_dmbase), `DM`, `DMSetAdjacency()`, `DMGetField()`, `DMSetField()`
5311: @*/
5312: PetscErrorCode DMGetAdjacency(DM dm, PetscInt f, PetscBool *useCone, PetscBool *useClosure)
5313: {
5314:   PetscFunctionBegin;
5316:   if (useCone) PetscAssertPointer(useCone, 3);
5317:   if (useClosure) PetscAssertPointer(useClosure, 4);
5318:   if (f < 0) {
5319:     if (useCone) *useCone = dm->adjacency[0];
5320:     if (useClosure) *useClosure = dm->adjacency[1];
5321:   } else {
5322:     PetscInt Nf;

5324:     PetscCall(DMGetNumFields(dm, &Nf));
5325:     PetscCheck(f < Nf, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Field number %" PetscInt_FMT " must be in [0, %" PetscInt_FMT ")", f, Nf);
5326:     if (useCone) *useCone = dm->fields[f].adjacency[0];
5327:     if (useClosure) *useClosure = dm->fields[f].adjacency[1];
5328:   }
5329:   PetscFunctionReturn(PETSC_SUCCESS);
5330: }

5332: /*@
5333:   DMSetAdjacency - Set the flags for determining variable influence

5335:   Not Collective

5337:   Input Parameters:
5338: + dm         - The `DM` object
5339: . f          - The field number
5340: . useCone    - Flag for variable influence starting with the cone operation
5341: - useClosure - Flag for variable influence using transitive closure

5343:   Level: developer

5345:   Notes:
5346: .vb
5347:      FEM:   Two points p and q are adjacent if q \in closure(star(p)),   useCone = PETSC_FALSE, useClosure = PETSC_TRUE
5348:      FVM:   Two points p and q are adjacent if q \in support(p+cone(p)), useCone = PETSC_TRUE,  useClosure = PETSC_FALSE
5349:      FVM++: Two points p and q are adjacent if q \in star(closure(p)),   useCone = PETSC_TRUE,  useClosure = PETSC_TRUE
5350: .ve
5351:   Further explanation can be found in the User's Manual Section on the Influence of Variables on One Another.

5353: .seealso: [](ch_dmbase), `DM`, `DMGetAdjacency()`, `DMGetField()`, `DMSetField()`
5354: @*/
5355: PetscErrorCode DMSetAdjacency(DM dm, PetscInt f, PetscBool useCone, PetscBool useClosure)
5356: {
5357:   PetscFunctionBegin;
5359:   if (f < 0) {
5360:     dm->adjacency[0] = useCone;
5361:     dm->adjacency[1] = useClosure;
5362:   } else {
5363:     PetscInt Nf;

5365:     PetscCall(DMGetNumFields(dm, &Nf));
5366:     PetscCheck(f < Nf, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Field number %" PetscInt_FMT " must be in [0, %" PetscInt_FMT ")", f, Nf);
5367:     dm->fields[f].adjacency[0] = useCone;
5368:     dm->fields[f].adjacency[1] = useClosure;
5369:   }
5370:   PetscFunctionReturn(PETSC_SUCCESS);
5371: }

5373: /*@
5374:   DMGetBasicAdjacency - Returns the flags for determining variable influence, using either the default or field 0 if it is defined

5376:   Not collective

5378:   Input Parameter:
5379: . dm - The `DM` object

5381:   Output Parameters:
5382: + useCone    - Flag for variable influence starting with the cone operation
5383: - useClosure - Flag for variable influence using transitive closure

5385:   Level: developer

5387:   Notes:
5388: .vb
5389:      FEM:   Two points p and q are adjacent if q \in closure(star(p)),   useCone = PETSC_FALSE, useClosure = PETSC_TRUE
5390:      FVM:   Two points p and q are adjacent if q \in support(p+cone(p)), useCone = PETSC_TRUE,  useClosure = PETSC_FALSE
5391:      FVM++: Two points p and q are adjacent if q \in star(closure(p)),   useCone = PETSC_TRUE,  useClosure = PETSC_TRUE
5392: .ve

5394: .seealso: [](ch_dmbase), `DM`, `DMSetBasicAdjacency()`, `DMGetField()`, `DMSetField()`
5395: @*/
5396: PetscErrorCode DMGetBasicAdjacency(DM dm, PetscBool *useCone, PetscBool *useClosure)
5397: {
5398:   PetscInt Nf;

5400:   PetscFunctionBegin;
5402:   if (useCone) PetscAssertPointer(useCone, 2);
5403:   if (useClosure) PetscAssertPointer(useClosure, 3);
5404:   PetscCall(DMGetNumFields(dm, &Nf));
5405:   if (!Nf) {
5406:     PetscCall(DMGetAdjacency(dm, PETSC_DEFAULT, useCone, useClosure));
5407:   } else {
5408:     PetscCall(DMGetAdjacency(dm, 0, useCone, useClosure));
5409:   }
5410:   PetscFunctionReturn(PETSC_SUCCESS);
5411: }

5413: /*@
5414:   DMSetBasicAdjacency - Set the flags for determining variable influence, using either the default or field 0 if it is defined

5416:   Not Collective

5418:   Input Parameters:
5419: + dm         - The `DM` object
5420: . useCone    - Flag for variable influence starting with the cone operation
5421: - useClosure - Flag for variable influence using transitive closure

5423:   Level: developer

5425:   Notes:
5426: .vb
5427:      FEM:   Two points p and q are adjacent if q \in closure(star(p)),   useCone = PETSC_FALSE, useClosure = PETSC_TRUE
5428:      FVM:   Two points p and q are adjacent if q \in support(p+cone(p)), useCone = PETSC_TRUE,  useClosure = PETSC_FALSE
5429:      FVM++: Two points p and q are adjacent if q \in star(closure(p)),   useCone = PETSC_TRUE,  useClosure = PETSC_TRUE
5430: .ve

5432: .seealso: [](ch_dmbase), `DM`, `DMGetBasicAdjacency()`, `DMGetField()`, `DMSetField()`
5433: @*/
5434: PetscErrorCode DMSetBasicAdjacency(DM dm, PetscBool useCone, PetscBool useClosure)
5435: {
5436:   PetscInt Nf;

5438:   PetscFunctionBegin;
5440:   PetscCall(DMGetNumFields(dm, &Nf));
5441:   if (!Nf) {
5442:     PetscCall(DMSetAdjacency(dm, PETSC_DEFAULT, useCone, useClosure));
5443:   } else {
5444:     PetscCall(DMSetAdjacency(dm, 0, useCone, useClosure));
5445:   }
5446:   PetscFunctionReturn(PETSC_SUCCESS);
5447: }

5449: PetscErrorCode DMCompleteBCLabels_Internal(DM dm)
5450: {
5451:   DM           plex;
5452:   DMLabel     *labels, *glabels;
5453:   const char **names;
5454:   char        *sendNames, *recvNames;
5455:   PetscInt     Nds, s, maxLabels = 0, maxLen = 0, gmaxLen, Nl = 0, gNl, l, gl, m;
5456:   size_t       len;
5457:   MPI_Comm     comm;
5458:   PetscMPIInt  rank, size, p, *counts, *displs;

5460:   PetscFunctionBegin;
5461:   PetscCall(PetscObjectGetComm((PetscObject)dm, &comm));
5462:   PetscCallMPI(MPI_Comm_size(comm, &size));
5463:   PetscCallMPI(MPI_Comm_rank(comm, &rank));
5464:   PetscCall(DMGetNumDS(dm, &Nds));
5465:   for (s = 0; s < Nds; ++s) {
5466:     PetscDS  dsBC;
5467:     PetscInt numBd;

5469:     PetscCall(DMGetRegionNumDS(dm, s, NULL, NULL, &dsBC, NULL));
5470:     PetscCall(PetscDSGetNumBoundary(dsBC, &numBd));
5471:     maxLabels += numBd;
5472:   }
5473:   PetscCall(PetscCalloc1(maxLabels, &labels));
5474:   /* Get list of labels to be completed */
5475:   for (s = 0; s < Nds; ++s) {
5476:     PetscDS  dsBC;
5477:     PetscInt numBd, bd;

5479:     PetscCall(DMGetRegionNumDS(dm, s, NULL, NULL, &dsBC, NULL));
5480:     PetscCall(PetscDSGetNumBoundary(dsBC, &numBd));
5481:     for (bd = 0; bd < numBd; ++bd) {
5482:       DMLabel      label;
5483:       PetscInt     field;
5484:       PetscObject  obj;
5485:       PetscClassId id;

5487:       PetscCall(PetscDSGetBoundary(dsBC, bd, NULL, NULL, NULL, &label, NULL, NULL, &field, NULL, NULL, NULL, NULL, NULL));
5488:       PetscCall(DMGetField(dm, field, NULL, &obj));
5489:       PetscCall(PetscObjectGetClassId(obj, &id));
5490:       if (id != PETSCFE_CLASSID || !label) continue;
5491:       for (l = 0; l < Nl; ++l)
5492:         if (labels[l] == label) break;
5493:       if (l == Nl) labels[Nl++] = label;
5494:     }
5495:   }
5496:   /* Get label names */
5497:   PetscCall(PetscMalloc1(Nl, &names));
5498:   for (l = 0; l < Nl; ++l) PetscCall(PetscObjectGetName((PetscObject)labels[l], &names[l]));
5499:   for (l = 0; l < Nl; ++l) {
5500:     PetscCall(PetscStrlen(names[l], &len));
5501:     maxLen = PetscMax(maxLen, (PetscInt)len + 2);
5502:   }
5503:   PetscCall(PetscFree(labels));
5504:   PetscCallMPI(MPIU_Allreduce(&maxLen, &gmaxLen, 1, MPIU_INT, MPI_MAX, comm));
5505:   PetscCall(PetscCalloc1(Nl * gmaxLen, &sendNames));
5506:   for (l = 0; l < Nl; ++l) PetscCall(PetscStrncpy(&sendNames[gmaxLen * l], names[l], gmaxLen));
5507:   PetscCall(PetscFree(names));
5508:   /* Put all names on all processes */
5509:   PetscCall(PetscCalloc2(size, &counts, size + 1, &displs));
5510:   PetscCallMPI(MPI_Allgather(&Nl, 1, MPI_INT, counts, 1, MPI_INT, comm));
5511:   for (p = 0; p < size; ++p) displs[p + 1] = displs[p] + counts[p];
5512:   gNl = displs[size];
5513:   for (p = 0; p < size; ++p) {
5514:     counts[p] *= gmaxLen;
5515:     displs[p] *= gmaxLen;
5516:   }
5517:   PetscCall(PetscCalloc2(gNl * gmaxLen, &recvNames, gNl, &glabels));
5518:   PetscCallMPI(MPI_Allgatherv(sendNames, counts[rank], MPI_CHAR, recvNames, counts, displs, MPI_CHAR, comm));
5519:   PetscCall(PetscFree2(counts, displs));
5520:   PetscCall(PetscFree(sendNames));
5521:   for (l = 0, gl = 0; l < gNl; ++l) {
5522:     PetscCall(DMGetLabel(dm, &recvNames[l * gmaxLen], &glabels[gl]));
5523:     PetscCheck(glabels[gl], PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Label %s missing on rank %d", &recvNames[l * gmaxLen], rank);
5524:     for (m = 0; m < gl; ++m)
5525:       if (glabels[m] == glabels[gl]) goto next_label;
5526:     PetscCall(DMConvert(dm, DMPLEX, &plex));
5527:     PetscCall(DMPlexLabelComplete(plex, glabels[gl]));
5528:     PetscCall(DMDestroy(&plex));
5529:     ++gl;
5530:   next_label:
5531:     continue;
5532:   }
5533:   PetscCall(PetscFree2(recvNames, glabels));
5534:   PetscFunctionReturn(PETSC_SUCCESS);
5535: }

5537: static PetscErrorCode DMDSEnlarge_Static(DM dm, PetscInt NdsNew)
5538: {
5539:   DMSpace *tmpd;
5540:   PetscInt Nds = dm->Nds, s;

5542:   PetscFunctionBegin;
5543:   if (Nds >= NdsNew) PetscFunctionReturn(PETSC_SUCCESS);
5544:   PetscCall(PetscMalloc1(NdsNew, &tmpd));
5545:   for (s = 0; s < Nds; ++s) tmpd[s] = dm->probs[s];
5546:   for (s = Nds; s < NdsNew; ++s) {
5547:     tmpd[s].ds     = NULL;
5548:     tmpd[s].label  = NULL;
5549:     tmpd[s].fields = NULL;
5550:   }
5551:   PetscCall(PetscFree(dm->probs));
5552:   dm->Nds   = NdsNew;
5553:   dm->probs = tmpd;
5554:   PetscFunctionReturn(PETSC_SUCCESS);
5555: }

5557: /*@
5558:   DMGetNumDS - Get the number of discrete systems in the `DM`

5560:   Not Collective

5562:   Input Parameter:
5563: . dm - The `DM`

5565:   Output Parameter:
5566: . Nds - The number of `PetscDS` objects

5568:   Level: intermediate

5570: .seealso: [](ch_dmbase), `DM`, `DMGetDS()`, `DMGetCellDS()`
5571: @*/
5572: PetscErrorCode DMGetNumDS(DM dm, PetscInt *Nds)
5573: {
5574:   PetscFunctionBegin;
5576:   PetscAssertPointer(Nds, 2);
5577:   *Nds = dm->Nds;
5578:   PetscFunctionReturn(PETSC_SUCCESS);
5579: }

5581: /*@
5582:   DMClearDS - Remove all discrete systems from the `DM`

5584:   Logically Collective

5586:   Input Parameter:
5587: . dm - The `DM`

5589:   Level: intermediate

5591: .seealso: [](ch_dmbase), `DM`, `DMGetNumDS()`, `DMGetDS()`, `DMSetField()`
5592: @*/
5593: PetscErrorCode DMClearDS(DM dm)
5594: {
5595:   PetscInt s;

5597:   PetscFunctionBegin;
5599:   for (s = 0; s < dm->Nds; ++s) {
5600:     PetscCall(PetscDSDestroy(&dm->probs[s].ds));
5601:     PetscCall(PetscDSDestroy(&dm->probs[s].dsIn));
5602:     PetscCall(DMLabelDestroy(&dm->probs[s].label));
5603:     PetscCall(ISDestroy(&dm->probs[s].fields));
5604:   }
5605:   PetscCall(PetscFree(dm->probs));
5606:   dm->probs = NULL;
5607:   dm->Nds   = 0;
5608:   PetscFunctionReturn(PETSC_SUCCESS);
5609: }

5611: /*@
5612:   DMGetDS - Get the default `PetscDS`

5614:   Not Collective

5616:   Input Parameter:
5617: . dm - The `DM`

5619:   Output Parameter:
5620: . ds - The default `PetscDS`

5622:   Level: intermediate

5624:   Note:
5625:   The `ds` is owned by the `dm` and should not be destroyed directly.

5627: .seealso: [](ch_dmbase), `DM`, `DMGetCellDS()`, `DMGetRegionDS()`
5628: @*/
5629: PetscErrorCode DMGetDS(DM dm, PetscDS *ds)
5630: {
5631:   PetscFunctionBeginHot;
5633:   PetscAssertPointer(ds, 2);
5634:   PetscCheck(dm->Nds > 0, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONGSTATE, "Need to call DMCreateDS() before calling DMGetDS()");
5635:   *ds = dm->probs[0].ds;
5636:   PetscFunctionReturn(PETSC_SUCCESS);
5637: }

5639: /*@
5640:   DMGetCellDS - Get the `PetscDS` defined on a given cell

5642:   Not Collective

5644:   Input Parameters:
5645: + dm    - The `DM`
5646: - point - Cell for the `PetscDS`

5648:   Output Parameters:
5649: + ds   - The `PetscDS` defined on the given cell
5650: - dsIn - The `PetscDS` for input on the given cell, or `NULL` if the same ds

5652:   Level: developer

5654: .seealso: [](ch_dmbase), `DM`, `DMGetDS()`, `DMSetRegionDS()`
5655: @*/
5656: PetscErrorCode DMGetCellDS(DM dm, PetscInt point, PetscDS *ds, PetscDS *dsIn)
5657: {
5658:   PetscDS  dsDef = NULL;
5659:   PetscInt s;

5661:   PetscFunctionBeginHot;
5663:   if (ds) PetscAssertPointer(ds, 3);
5664:   if (dsIn) PetscAssertPointer(dsIn, 4);
5665:   PetscCheck(point >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Mesh point cannot be negative: %" PetscInt_FMT, point);
5666:   if (ds) *ds = NULL;
5667:   if (dsIn) *dsIn = NULL;
5668:   for (s = 0; s < dm->Nds; ++s) {
5669:     PetscInt val;

5671:     if (!dm->probs[s].label) {
5672:       dsDef = dm->probs[s].ds;
5673:     } else {
5674:       PetscCall(DMLabelGetValue(dm->probs[s].label, point, &val));
5675:       if (val >= 0) {
5676:         if (ds) *ds = dm->probs[s].ds;
5677:         if (dsIn) *dsIn = dm->probs[s].dsIn;
5678:         break;
5679:       }
5680:     }
5681:   }
5682:   if (ds && !*ds) *ds = dsDef;
5683:   PetscFunctionReturn(PETSC_SUCCESS);
5684: }

5686: /*@
5687:   DMGetRegionDS - Get the `PetscDS` for a given mesh region, defined by a `DMLabel`

5689:   Not Collective

5691:   Input Parameters:
5692: + dm    - The `DM`
5693: - label - The `DMLabel` defining the mesh region, or `NULL` for the entire mesh

5695:   Output Parameters:
5696: + fields - The `IS` containing the `DM` field numbers for the fields in this `PetscDS`, or `NULL`
5697: . ds     - The `PetscDS` defined on the given region, or `NULL`
5698: - dsIn   - The `PetscDS` for input in the given region, or `NULL`

5700:   Level: advanced

5702:   Note:
5703:   If a non-`NULL` label is given, but there is no `PetscDS` on that specific label,
5704:   the `PetscDS` for the full domain (if present) is returned. Returns with
5705:   fields = `NULL` and ds = `NULL` if there is no `PetscDS` for the full domain.

5707: .seealso: [](ch_dmbase), `DM`, `DMGetRegionNumDS()`, `DMSetRegionDS()`, `DMGetDS()`, `DMGetCellDS()`
5708: @*/
5709: PetscErrorCode DMGetRegionDS(DM dm, DMLabel label, IS *fields, PetscDS *ds, PetscDS *dsIn)
5710: {
5711:   PetscInt Nds = dm->Nds, s;

5713:   PetscFunctionBegin;
5716:   if (fields) {
5717:     PetscAssertPointer(fields, 3);
5718:     *fields = NULL;
5719:   }
5720:   if (ds) {
5721:     PetscAssertPointer(ds, 4);
5722:     *ds = NULL;
5723:   }
5724:   if (dsIn) {
5725:     PetscAssertPointer(dsIn, 5);
5726:     *dsIn = NULL;
5727:   }
5728:   for (s = 0; s < Nds; ++s) {
5729:     if (dm->probs[s].label == label || !dm->probs[s].label) {
5730:       if (fields) *fields = dm->probs[s].fields;
5731:       if (ds) *ds = dm->probs[s].ds;
5732:       if (dsIn) *dsIn = dm->probs[s].dsIn;
5733:       if (dm->probs[s].label) PetscFunctionReturn(PETSC_SUCCESS);
5734:     }
5735:   }
5736:   PetscFunctionReturn(PETSC_SUCCESS);
5737: }

5739: /*@
5740:   DMSetRegionDS - Set the `PetscDS` for a given mesh region, defined by a `DMLabel`

5742:   Collective

5744:   Input Parameters:
5745: + dm     - The `DM`
5746: . label  - The `DMLabel` defining the mesh region, or `NULL` for the entire mesh
5747: . fields - The `IS` containing the `DM` field numbers for the fields in this `PetscDS`, or `NULL` for all fields
5748: . ds     - The `PetscDS` defined on the given region
5749: - dsIn   - The `PetscDS` for input on the given cell, or `NULL` if it is the same `PetscDS`

5751:   Level: advanced

5753:   Note:
5754:   If the label has a `PetscDS` defined, it will be replaced. Otherwise, it will be added to the `DM`. If the `PetscDS` is replaced,
5755:   the fields argument is ignored.

5757: .seealso: [](ch_dmbase), `DM`, `DMGetRegionDS()`, `DMSetRegionNumDS()`, `DMGetDS()`, `DMGetCellDS()`
5758: @*/
5759: PetscErrorCode DMSetRegionDS(DM dm, DMLabel label, IS fields, PetscDS ds, PetscDS dsIn)
5760: {
5761:   PetscInt Nds = dm->Nds, s;

5763:   PetscFunctionBegin;
5769:   for (s = 0; s < Nds; ++s) {
5770:     if (dm->probs[s].label == label) {
5771:       PetscCall(PetscDSDestroy(&dm->probs[s].ds));
5772:       PetscCall(PetscDSDestroy(&dm->probs[s].dsIn));
5773:       dm->probs[s].ds   = ds;
5774:       dm->probs[s].dsIn = dsIn;
5775:       PetscFunctionReturn(PETSC_SUCCESS);
5776:     }
5777:   }
5778:   PetscCall(DMDSEnlarge_Static(dm, Nds + 1));
5779:   PetscCall(PetscObjectReference((PetscObject)label));
5780:   PetscCall(PetscObjectReference((PetscObject)fields));
5781:   PetscCall(PetscObjectReference((PetscObject)ds));
5782:   PetscCall(PetscObjectReference((PetscObject)dsIn));
5783:   if (!label) {
5784:     /* Put the NULL label at the front, so it is returned as the default */
5785:     for (s = Nds - 1; s >= 0; --s) dm->probs[s + 1] = dm->probs[s];
5786:     Nds = 0;
5787:   }
5788:   dm->probs[Nds].label  = label;
5789:   dm->probs[Nds].fields = fields;
5790:   dm->probs[Nds].ds     = ds;
5791:   dm->probs[Nds].dsIn   = dsIn;
5792:   PetscFunctionReturn(PETSC_SUCCESS);
5793: }

5795: /*@
5796:   DMGetRegionNumDS - Get the `PetscDS` for a given mesh region, defined by the region number

5798:   Not Collective

5800:   Input Parameters:
5801: + dm  - The `DM`
5802: - num - The region number, in [0, Nds)

5804:   Output Parameters:
5805: + label  - The region label, or `NULL`
5806: . fields - The `IS` containing the `DM` field numbers for the fields in this `PetscDS`, or `NULL`
5807: . ds     - The `PetscDS` defined on the given region, or `NULL`
5808: - dsIn   - The `PetscDS` for input in the given region, or `NULL`

5810:   Level: advanced

5812: .seealso: [](ch_dmbase), `DM`, `DMGetRegionDS()`, `DMSetRegionDS()`, `DMGetDS()`, `DMGetCellDS()`
5813: @*/
5814: PetscErrorCode DMGetRegionNumDS(DM dm, PetscInt num, DMLabel *label, IS *fields, PetscDS *ds, PetscDS *dsIn)
5815: {
5816:   PetscInt Nds;

5818:   PetscFunctionBegin;
5820:   PetscCall(DMGetNumDS(dm, &Nds));
5821:   PetscCheck((num >= 0) && (num < Nds), PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Region number %" PetscInt_FMT " is not in [0, %" PetscInt_FMT ")", num, Nds);
5822:   if (label) {
5823:     PetscAssertPointer(label, 3);
5824:     *label = dm->probs[num].label;
5825:   }
5826:   if (fields) {
5827:     PetscAssertPointer(fields, 4);
5828:     *fields = dm->probs[num].fields;
5829:   }
5830:   if (ds) {
5831:     PetscAssertPointer(ds, 5);
5832:     *ds = dm->probs[num].ds;
5833:   }
5834:   if (dsIn) {
5835:     PetscAssertPointer(dsIn, 6);
5836:     *dsIn = dm->probs[num].dsIn;
5837:   }
5838:   PetscFunctionReturn(PETSC_SUCCESS);
5839: }

5841: /*@
5842:   DMSetRegionNumDS - Set the `PetscDS` for a given mesh region, defined by the region number

5844:   Not Collective

5846:   Input Parameters:
5847: + dm     - The `DM`
5848: . num    - The region number, in [0, Nds)
5849: . label  - The region label, or `NULL`
5850: . fields - The `IS` containing the `DM` field numbers for the fields in this `PetscDS`, or `NULL` to prevent setting
5851: . ds     - The `PetscDS` defined on the given region, or `NULL` to prevent setting
5852: - dsIn   - The `PetscDS` for input on the given cell, or `NULL` if it is the same `PetscDS`

5854:   Level: advanced

5856: .seealso: [](ch_dmbase), `DM`, `DMGetRegionDS()`, `DMSetRegionDS()`, `DMGetDS()`, `DMGetCellDS()`
5857: @*/
5858: PetscErrorCode DMSetRegionNumDS(DM dm, PetscInt num, DMLabel label, IS fields, PetscDS ds, PetscDS dsIn)
5859: {
5860:   PetscInt Nds;

5862:   PetscFunctionBegin;
5865:   PetscCall(DMGetNumDS(dm, &Nds));
5866:   PetscCheck((num >= 0) && (num < Nds), PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Region number %" PetscInt_FMT " is not in [0, %" PetscInt_FMT ")", num, Nds);
5867:   PetscCall(PetscObjectReference((PetscObject)label));
5868:   PetscCall(DMLabelDestroy(&dm->probs[num].label));
5869:   dm->probs[num].label = label;
5870:   if (fields) {
5872:     PetscCall(PetscObjectReference((PetscObject)fields));
5873:     PetscCall(ISDestroy(&dm->probs[num].fields));
5874:     dm->probs[num].fields = fields;
5875:   }
5876:   if (ds) {
5878:     PetscCall(PetscObjectReference((PetscObject)ds));
5879:     PetscCall(PetscDSDestroy(&dm->probs[num].ds));
5880:     dm->probs[num].ds = ds;
5881:   }
5882:   if (dsIn) {
5884:     PetscCall(PetscObjectReference((PetscObject)dsIn));
5885:     PetscCall(PetscDSDestroy(&dm->probs[num].dsIn));
5886:     dm->probs[num].dsIn = dsIn;
5887:   }
5888:   PetscFunctionReturn(PETSC_SUCCESS);
5889: }

5891: /*@
5892:   DMFindRegionNum - Find the region number for a given `PetscDS`, or -1 if it is not found.

5894:   Not Collective

5896:   Input Parameters:
5897: + dm - The `DM`
5898: - ds - The `PetscDS` defined on the given region

5900:   Output Parameter:
5901: . num - The region number, in [0, Nds), or -1 if not found

5903:   Level: advanced

5905: .seealso: [](ch_dmbase), `DM`, `DMGetRegionNumDS()`, `DMGetRegionDS()`, `DMSetRegionDS()`, `DMGetDS()`, `DMGetCellDS()`
5906: @*/
5907: PetscErrorCode DMFindRegionNum(DM dm, PetscDS ds, PetscInt *num)
5908: {
5909:   PetscInt Nds, n;

5911:   PetscFunctionBegin;
5914:   PetscAssertPointer(num, 3);
5915:   PetscCall(DMGetNumDS(dm, &Nds));
5916:   for (n = 0; n < Nds; ++n)
5917:     if (ds == dm->probs[n].ds) break;
5918:   if (n >= Nds) *num = -1;
5919:   else *num = n;
5920:   PetscFunctionReturn(PETSC_SUCCESS);
5921: }

5923: /*@
5924:   DMCreateFEDefault - Create a `PetscFE` based on the celltype for the mesh

5926:   Not Collective

5928:   Input Parameters:
5929: + dm     - The `DM`
5930: . Nc     - The number of components for the field
5931: . prefix - The options prefix for the output `PetscFE`, or `NULL`
5932: - qorder - The quadrature order or `PETSC_DETERMINE` to use `PetscSpace` polynomial degree

5934:   Output Parameter:
5935: . fem - The `PetscFE`

5937:   Level: intermediate

5939:   Note:
5940:   This is a convenience method that just calls `PetscFECreateByCell()` underneath.

5942: .seealso: [](ch_dmbase), `DM`, `PetscFECreateByCell()`, `DMAddField()`, `DMCreateDS()`, `DMGetCellDS()`, `DMGetRegionDS()`
5943: @*/
5944: PetscErrorCode DMCreateFEDefault(DM dm, PetscInt Nc, const char prefix[], PetscInt qorder, PetscFE *fem)
5945: {
5946:   DMPolytopeType ct;
5947:   PetscInt       dim, cStart;

5949:   PetscFunctionBegin;
5952:   if (prefix) PetscAssertPointer(prefix, 3);
5954:   PetscAssertPointer(fem, 5);
5955:   PetscCall(DMGetDimension(dm, &dim));
5956:   PetscCall(DMPlexGetHeightStratum(dm, 0, &cStart, NULL));
5957:   PetscCall(DMPlexGetCellType(dm, cStart, &ct));
5958:   PetscCall(PetscFECreateByCell(PETSC_COMM_SELF, dim, Nc, ct, prefix, qorder, fem));
5959:   PetscFunctionReturn(PETSC_SUCCESS);
5960: }

5962: /*@
5963:   DMCreateDS - Create the discrete systems for the `DM` based upon the fields added to the `DM`

5965:   Collective

5967:   Input Parameter:
5968: . dm - The `DM`

5970:   Options Database Key:
5971: . -dm_petscds_view - View all the `PetscDS` objects in this `DM`

5973:   Level: intermediate

5975:   Developer Note:
5976:   The name of this function is wrong. Create functions always return the created object as one of the arguments.

5978: .seealso: [](ch_dmbase), `DM`, `DMSetField`, `DMAddField()`, `DMGetDS()`, `DMGetCellDS()`, `DMGetRegionDS()`, `DMSetRegionDS()`
5979: @*/
5980: PetscErrorCode DMCreateDS(DM dm)
5981: {
5982:   MPI_Comm  comm;
5983:   PetscDS   dsDef;
5984:   DMLabel  *labelSet;
5985:   PetscInt  dE, Nf = dm->Nf, f, s, Nl, l, Ndef, k;
5986:   PetscBool doSetup = PETSC_TRUE, flg;

5988:   PetscFunctionBegin;
5990:   if (!dm->fields) PetscFunctionReturn(PETSC_SUCCESS);
5991:   PetscCall(PetscObjectGetComm((PetscObject)dm, &comm));
5992:   PetscCall(DMGetCoordinateDim(dm, &dE));
5993:   // Create nullspace constructor slots
5994:   PetscCall(PetscFree2(dm->nullspaceConstructors, dm->nearnullspaceConstructors));
5995:   PetscCall(PetscCalloc2(Nf, &dm->nullspaceConstructors, Nf, &dm->nearnullspaceConstructors));
5996:   /* Determine how many regions we have */
5997:   PetscCall(PetscMalloc1(Nf, &labelSet));
5998:   Nl   = 0;
5999:   Ndef = 0;
6000:   for (f = 0; f < Nf; ++f) {
6001:     DMLabel  label = dm->fields[f].label;
6002:     PetscInt l;

6004: #ifdef PETSC_HAVE_LIBCEED
6005:     /* Move CEED context to discretizations */
6006:     {
6007:       PetscClassId id;

6009:       PetscCall(PetscObjectGetClassId(dm->fields[f].disc, &id));
6010:       if (id == PETSCFE_CLASSID) {
6011:         Ceed ceed;

6013:         PetscCall(DMGetCeed(dm, &ceed));
6014:         PetscCall(PetscFESetCeed((PetscFE)dm->fields[f].disc, ceed));
6015:       }
6016:     }
6017: #endif
6018:     if (!label) {
6019:       ++Ndef;
6020:       continue;
6021:     }
6022:     for (l = 0; l < Nl; ++l)
6023:       if (label == labelSet[l]) break;
6024:     if (l < Nl) continue;
6025:     labelSet[Nl++] = label;
6026:   }
6027:   /* Create default DS if there are no labels to intersect with */
6028:   PetscCall(DMGetRegionDS(dm, NULL, NULL, &dsDef, NULL));
6029:   if (!dsDef && Ndef && !Nl) {
6030:     IS        fields;
6031:     PetscInt *fld, nf;

6033:     for (f = 0, nf = 0; f < Nf; ++f)
6034:       if (!dm->fields[f].label) ++nf;
6035:     PetscCheck(nf, comm, PETSC_ERR_PLIB, "All fields have labels, but we are trying to create a default DS");
6036:     PetscCall(PetscMalloc1(nf, &fld));
6037:     for (f = 0, nf = 0; f < Nf; ++f)
6038:       if (!dm->fields[f].label) fld[nf++] = f;
6039:     PetscCall(ISCreate(PETSC_COMM_SELF, &fields));
6040:     PetscCall(PetscObjectSetOptionsPrefix((PetscObject)fields, "dm_fields_"));
6041:     PetscCall(ISSetType(fields, ISGENERAL));
6042:     PetscCall(ISGeneralSetIndices(fields, nf, fld, PETSC_OWN_POINTER));

6044:     PetscCall(PetscDSCreate(PETSC_COMM_SELF, &dsDef));
6045:     PetscCall(DMSetRegionDS(dm, NULL, fields, dsDef, NULL));
6046:     PetscCall(PetscDSDestroy(&dsDef));
6047:     PetscCall(ISDestroy(&fields));
6048:   }
6049:   PetscCall(DMGetRegionDS(dm, NULL, NULL, &dsDef, NULL));
6050:   if (dsDef) PetscCall(PetscDSSetCoordinateDimension(dsDef, dE));
6051:   /* Intersect labels with default fields */
6052:   if (Ndef && Nl) {
6053:     DM              plex;
6054:     DMLabel         cellLabel;
6055:     IS              fieldIS, allcellIS, defcellIS = NULL;
6056:     PetscInt       *fields;
6057:     const PetscInt *cells;
6058:     PetscInt        depth, nf = 0, n, c;

6060:     PetscCall(DMConvert(dm, DMPLEX, &plex));
6061:     PetscCall(DMPlexGetDepth(plex, &depth));
6062:     PetscCall(DMGetStratumIS(plex, "dim", depth, &allcellIS));
6063:     if (!allcellIS) PetscCall(DMGetStratumIS(plex, "depth", depth, &allcellIS));
6064:     /* TODO This looks like it only works for one label */
6065:     for (l = 0; l < Nl; ++l) {
6066:       DMLabel label = labelSet[l];
6067:       IS      pointIS;

6069:       PetscCall(ISDestroy(&defcellIS));
6070:       PetscCall(DMLabelGetStratumIS(label, 1, &pointIS));
6071:       PetscCall(ISDifference(allcellIS, pointIS, &defcellIS));
6072:       PetscCall(ISDestroy(&pointIS));
6073:     }
6074:     PetscCall(ISDestroy(&allcellIS));

6076:     PetscCall(DMLabelCreate(PETSC_COMM_SELF, "defaultCells", &cellLabel));
6077:     PetscCall(ISGetLocalSize(defcellIS, &n));
6078:     PetscCall(ISGetIndices(defcellIS, &cells));
6079:     for (c = 0; c < n; ++c) PetscCall(DMLabelSetValue(cellLabel, cells[c], 1));
6080:     PetscCall(ISRestoreIndices(defcellIS, &cells));
6081:     PetscCall(ISDestroy(&defcellIS));
6082:     PetscCall(DMPlexLabelComplete(plex, cellLabel));

6084:     PetscCall(PetscMalloc1(Ndef, &fields));
6085:     for (f = 0; f < Nf; ++f)
6086:       if (!dm->fields[f].label) fields[nf++] = f;
6087:     PetscCall(ISCreate(PETSC_COMM_SELF, &fieldIS));
6088:     PetscCall(PetscObjectSetOptionsPrefix((PetscObject)fieldIS, "dm_fields_"));
6089:     PetscCall(ISSetType(fieldIS, ISGENERAL));
6090:     PetscCall(ISGeneralSetIndices(fieldIS, nf, fields, PETSC_OWN_POINTER));

6092:     PetscCall(PetscDSCreate(PETSC_COMM_SELF, &dsDef));
6093:     PetscCall(DMSetRegionDS(dm, cellLabel, fieldIS, dsDef, NULL));
6094:     PetscCall(PetscDSSetCoordinateDimension(dsDef, dE));
6095:     PetscCall(DMLabelDestroy(&cellLabel));
6096:     PetscCall(PetscDSDestroy(&dsDef));
6097:     PetscCall(ISDestroy(&fieldIS));
6098:     PetscCall(DMDestroy(&plex));
6099:   }
6100:   /* Create label DSes
6101:      - WE ONLY SUPPORT IDENTICAL OR DISJOINT LABELS
6102:   */
6103:   /* TODO Should check that labels are disjoint */
6104:   for (l = 0; l < Nl; ++l) {
6105:     DMLabel   label = labelSet[l];
6106:     PetscDS   ds, dsIn = NULL;
6107:     IS        fields;
6108:     PetscInt *fld, nf;

6110:     PetscCall(PetscDSCreate(PETSC_COMM_SELF, &ds));
6111:     for (f = 0, nf = 0; f < Nf; ++f)
6112:       if (label == dm->fields[f].label || !dm->fields[f].label) ++nf;
6113:     PetscCall(PetscMalloc1(nf, &fld));
6114:     for (f = 0, nf = 0; f < Nf; ++f)
6115:       if (label == dm->fields[f].label || !dm->fields[f].label) fld[nf++] = f;
6116:     PetscCall(ISCreate(PETSC_COMM_SELF, &fields));
6117:     PetscCall(PetscObjectSetOptionsPrefix((PetscObject)fields, "dm_fields_"));
6118:     PetscCall(ISSetType(fields, ISGENERAL));
6119:     PetscCall(ISGeneralSetIndices(fields, nf, fld, PETSC_OWN_POINTER));
6120:     PetscCall(PetscDSSetCoordinateDimension(ds, dE));
6121:     {
6122:       DMPolytopeType ct;
6123:       PetscInt       lStart, lEnd;
6124:       PetscBool      isCohesiveLocal = PETSC_FALSE, isCohesive;

6126:       PetscCall(DMLabelGetBounds(label, &lStart, &lEnd));
6127:       if (lStart >= 0) {
6128:         PetscCall(DMPlexGetCellType(dm, lStart, &ct));
6129:         switch (ct) {
6130:         case DM_POLYTOPE_POINT_PRISM_TENSOR:
6131:         case DM_POLYTOPE_SEG_PRISM_TENSOR:
6132:         case DM_POLYTOPE_TRI_PRISM_TENSOR:
6133:         case DM_POLYTOPE_QUAD_PRISM_TENSOR:
6134:           isCohesiveLocal = PETSC_TRUE;
6135:           break;
6136:         default:
6137:           break;
6138:         }
6139:       }
6140:       PetscCallMPI(MPIU_Allreduce(&isCohesiveLocal, &isCohesive, 1, MPI_C_BOOL, MPI_LOR, comm));
6141:       if (isCohesive) {
6142:         PetscCall(PetscDSCreate(PETSC_COMM_SELF, &dsIn));
6143:         PetscCall(PetscDSSetCoordinateDimension(dsIn, dE));
6144:       }
6145:       for (f = 0, nf = 0; f < Nf; ++f) {
6146:         if (label == dm->fields[f].label || !dm->fields[f].label) {
6147:           if (label == dm->fields[f].label) {
6148:             PetscCall(PetscDSSetDiscretization(ds, nf, NULL));
6149:             PetscCall(PetscDSSetCohesive(ds, nf, isCohesive));
6150:             if (dsIn) {
6151:               PetscCall(PetscDSSetDiscretization(dsIn, nf, NULL));
6152:               PetscCall(PetscDSSetCohesive(dsIn, nf, isCohesive));
6153:             }
6154:           }
6155:           ++nf;
6156:         }
6157:       }
6158:     }
6159:     PetscCall(DMSetRegionDS(dm, label, fields, ds, dsIn));
6160:     PetscCall(ISDestroy(&fields));
6161:     PetscCall(PetscDSDestroy(&ds));
6162:     PetscCall(PetscDSDestroy(&dsIn));
6163:   }
6164:   PetscCall(PetscFree(labelSet));
6165:   /* Set fields in DSes */
6166:   for (s = 0; s < dm->Nds; ++s) {
6167:     PetscDS         ds     = dm->probs[s].ds;
6168:     PetscDS         dsIn   = dm->probs[s].dsIn;
6169:     IS              fields = dm->probs[s].fields;
6170:     const PetscInt *fld;
6171:     PetscInt        nf, dsnf;
6172:     PetscBool       isCohesive;

6174:     PetscCall(PetscDSGetNumFields(ds, &dsnf));
6175:     PetscCall(PetscDSIsCohesive(ds, &isCohesive));
6176:     PetscCall(ISGetLocalSize(fields, &nf));
6177:     PetscCall(ISGetIndices(fields, &fld));
6178:     for (f = 0; f < nf; ++f) {
6179:       PetscObject  disc = dm->fields[fld[f]].disc;
6180:       PetscBool    isCohesiveField;
6181:       PetscClassId id;

6183:       /* Handle DS with no fields */
6184:       if (dsnf) PetscCall(PetscDSGetCohesive(ds, f, &isCohesiveField));
6185:       /* If this is a cohesive cell, then regular fields need the lower dimensional discretization */
6186:       if (isCohesive) {
6187:         if (!isCohesiveField) {
6188:           PetscObject bdDisc;

6190:           PetscCall(PetscFEGetHeightSubspace((PetscFE)disc, 1, (PetscFE *)&bdDisc));
6191:           PetscCall(PetscDSSetDiscretization(ds, f, bdDisc));
6192:           PetscCall(PetscDSSetDiscretization(dsIn, f, disc));
6193:         } else {
6194:           PetscCall(PetscDSSetDiscretization(ds, f, disc));
6195:           PetscCall(PetscDSSetDiscretization(dsIn, f, disc));
6196:         }
6197:       } else {
6198:         PetscCall(PetscDSSetDiscretization(ds, f, disc));
6199:       }
6200:       /* We allow people to have placeholder fields and construct the Section by hand */
6201:       PetscCall(PetscObjectGetClassId(disc, &id));
6202:       if ((id != PETSCFE_CLASSID) && (id != PETSCFV_CLASSID)) doSetup = PETSC_FALSE;
6203:     }
6204:     PetscCall(ISRestoreIndices(fields, &fld));
6205:   }
6206:   /* Allow k-jet tabulation */
6207:   PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)dm)->prefix, "-dm_ds_jet_degree", &k, &flg));
6208:   if (flg) {
6209:     for (s = 0; s < dm->Nds; ++s) {
6210:       PetscDS  ds   = dm->probs[s].ds;
6211:       PetscDS  dsIn = dm->probs[s].dsIn;
6212:       PetscInt Nf, f;

6214:       PetscCall(PetscDSGetNumFields(ds, &Nf));
6215:       for (f = 0; f < Nf; ++f) {
6216:         PetscCall(PetscDSSetJetDegree(ds, f, k));
6217:         if (dsIn) PetscCall(PetscDSSetJetDegree(dsIn, f, k));
6218:       }
6219:     }
6220:   }
6221:   /* Setup DSes */
6222:   if (doSetup) {
6223:     for (s = 0; s < dm->Nds; ++s) {
6224:       if (dm->setfromoptionscalled) {
6225:         PetscCall(PetscDSSetFromOptions(dm->probs[s].ds));
6226:         if (dm->probs[s].dsIn) PetscCall(PetscDSSetFromOptions(dm->probs[s].dsIn));
6227:       }
6228:       PetscCall(PetscDSSetUp(dm->probs[s].ds));
6229:       if (dm->probs[s].dsIn) PetscCall(PetscDSSetUp(dm->probs[s].dsIn));
6230:     }
6231:   }
6232:   PetscFunctionReturn(PETSC_SUCCESS);
6233: }

6235: /*@
6236:   DMUseTensorOrder - Use a tensor product closure ordering for the default section

6238:   Input Parameters:
6239: + dm     - The DM
6240: - tensor - Flag for tensor order

6242:   Level: developer

6244: .seealso: `DMPlexSetClosurePermutationTensor()`, `PetscSectionResetClosurePermutation()`
6245: @*/
6246: PetscErrorCode DMUseTensorOrder(DM dm, PetscBool tensor)
6247: {
6248:   PetscInt  Nf;
6249:   PetscBool reorder = PETSC_TRUE, isPlex;

6251:   PetscFunctionBegin;
6252:   PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMPLEX, &isPlex));
6253:   PetscCall(DMGetNumFields(dm, &Nf));
6254:   for (PetscInt f = 0; f < Nf; ++f) {
6255:     PetscObject  obj;
6256:     PetscClassId id;

6258:     PetscCall(DMGetField(dm, f, NULL, &obj));
6259:     PetscCall(PetscObjectGetClassId(obj, &id));
6260:     if (id == PETSCFE_CLASSID) {
6261:       PetscSpace sp;
6262:       PetscBool  tensor;

6264:       PetscCall(PetscFEGetBasisSpace((PetscFE)obj, &sp));
6265:       PetscCall(PetscSpacePolynomialGetTensor(sp, &tensor));
6266:       reorder = reorder && tensor ? PETSC_TRUE : PETSC_FALSE;
6267:     } else reorder = PETSC_FALSE;
6268:   }
6269:   if (tensor) {
6270:     if (reorder && isPlex) PetscCall(DMPlexSetClosurePermutationTensor(dm, PETSC_DETERMINE, NULL));
6271:   } else {
6272:     PetscSection s;

6274:     PetscCall(DMGetLocalSection(dm, &s));
6275:     if (s) PetscCall(PetscSectionResetClosurePermutation(s));
6276:   }
6277:   PetscFunctionReturn(PETSC_SUCCESS);
6278: }

6280: /*@
6281:   DMComputeExactSolution - Compute the exact solution for a given `DM`, using the `PetscDS` information.

6283:   Collective

6285:   Input Parameters:
6286: + dm   - The `DM`
6287: - time - The time

6289:   Output Parameters:
6290: + u   - The vector will be filled with exact solution values, or `NULL`
6291: - u_t - The vector will be filled with the time derivative of exact solution values, or `NULL`

6293:   Level: developer

6295:   Note:
6296:   The user must call `PetscDSSetExactSolution()` before using this routine

6298: .seealso: [](ch_dmbase), `DM`, `PetscDSSetExactSolution()`
6299: @*/
6300: PetscErrorCode DMComputeExactSolution(DM dm, PetscReal time, Vec u, Vec u_t)
6301: {
6302:   PetscErrorCode (**exacts)(PetscInt, PetscReal, const PetscReal x[], PetscInt, PetscScalar *u, PetscCtx ctx);
6303:   void   **ectxs;
6304:   Vec      locu, locu_t;
6305:   PetscInt Nf, Nds, s;

6307:   PetscFunctionBegin;
6309:   if (u) {
6311:     PetscCall(DMGetLocalVector(dm, &locu));
6312:     PetscCall(VecSet(locu, 0.));
6313:   }
6314:   if (u_t) {
6316:     PetscCall(DMGetLocalVector(dm, &locu_t));
6317:     PetscCall(VecSet(locu_t, 0.));
6318:   }
6319:   PetscCall(DMGetNumFields(dm, &Nf));
6320:   PetscCall(PetscMalloc2(Nf, &exacts, Nf, &ectxs));
6321:   PetscCall(DMGetNumDS(dm, &Nds));
6322:   for (s = 0; s < Nds; ++s) {
6323:     PetscDS         ds;
6324:     DMLabel         label;
6325:     IS              fieldIS;
6326:     const PetscInt *fields, id = 1;
6327:     PetscInt        dsNf, f;

6329:     PetscCall(DMGetRegionNumDS(dm, s, &label, &fieldIS, &ds, NULL));
6330:     PetscCall(PetscDSGetNumFields(ds, &dsNf));
6331:     PetscCall(ISGetIndices(fieldIS, &fields));
6332:     PetscCall(PetscArrayzero(exacts, Nf));
6333:     PetscCall(PetscArrayzero(ectxs, Nf));
6334:     if (u) {
6335:       for (f = 0; f < dsNf; ++f) PetscCall(PetscDSGetExactSolution(ds, fields[f], &exacts[fields[f]], &ectxs[fields[f]]));
6336:       if (label) PetscCall(DMProjectFunctionLabelLocal(dm, time, label, 1, &id, 0, NULL, exacts, ectxs, INSERT_ALL_VALUES, locu));
6337:       else PetscCall(DMProjectFunctionLocal(dm, time, exacts, ectxs, INSERT_ALL_VALUES, locu));
6338:     }
6339:     if (u_t) {
6340:       PetscCall(PetscArrayzero(exacts, Nf));
6341:       PetscCall(PetscArrayzero(ectxs, Nf));
6342:       for (f = 0; f < dsNf; ++f) PetscCall(PetscDSGetExactSolutionTimeDerivative(ds, fields[f], &exacts[fields[f]], &ectxs[fields[f]]));
6343:       if (label) PetscCall(DMProjectFunctionLabelLocal(dm, time, label, 1, &id, 0, NULL, exacts, ectxs, INSERT_ALL_VALUES, locu_t));
6344:       else PetscCall(DMProjectFunctionLocal(dm, time, exacts, ectxs, INSERT_ALL_VALUES, locu_t));
6345:     }
6346:     PetscCall(ISRestoreIndices(fieldIS, &fields));
6347:   }
6348:   if (u) {
6349:     PetscCall(PetscObjectSetName((PetscObject)u, "Exact Solution"));
6350:     PetscCall(PetscObjectSetOptionsPrefix((PetscObject)u, "exact_"));
6351:   }
6352:   if (u_t) {
6353:     PetscCall(PetscObjectSetName((PetscObject)u, "Exact Solution Time Derivative"));
6354:     PetscCall(PetscObjectSetOptionsPrefix((PetscObject)u_t, "exact_t_"));
6355:   }
6356:   PetscCall(PetscFree2(exacts, ectxs));
6357:   if (u) {
6358:     PetscCall(DMLocalToGlobalBegin(dm, locu, INSERT_ALL_VALUES, u));
6359:     PetscCall(DMLocalToGlobalEnd(dm, locu, INSERT_ALL_VALUES, u));
6360:     PetscCall(DMRestoreLocalVector(dm, &locu));
6361:   }
6362:   if (u_t) {
6363:     PetscCall(DMLocalToGlobalBegin(dm, locu_t, INSERT_ALL_VALUES, u_t));
6364:     PetscCall(DMLocalToGlobalEnd(dm, locu_t, INSERT_ALL_VALUES, u_t));
6365:     PetscCall(DMRestoreLocalVector(dm, &locu_t));
6366:   }
6367:   PetscFunctionReturn(PETSC_SUCCESS);
6368: }

6370: static PetscErrorCode DMTransferDS_Internal(DM dm, DMLabel label, IS fields, PetscInt minDegree, PetscInt maxDegree, PetscDS ds, PetscDS dsIn)
6371: {
6372:   PetscDS dsNew, dsInNew = NULL;

6374:   PetscFunctionBegin;
6375:   PetscCall(PetscDSCreate(PetscObjectComm((PetscObject)ds), &dsNew));
6376:   PetscCall(PetscDSCopy(ds, minDegree, maxDegree, dm, dsNew));
6377:   if (dsIn) {
6378:     PetscCall(PetscDSCreate(PetscObjectComm((PetscObject)dsIn), &dsInNew));
6379:     PetscCall(PetscDSCopy(dsIn, minDegree, maxDegree, dm, dsInNew));
6380:   }
6381:   PetscCall(DMSetRegionDS(dm, label, fields, dsNew, dsInNew));
6382:   PetscCall(PetscDSDestroy(&dsNew));
6383:   PetscCall(PetscDSDestroy(&dsInNew));
6384:   PetscFunctionReturn(PETSC_SUCCESS);
6385: }

6387: /*@
6388:   DMCopyDS - Copy the discrete systems for the `DM` into another `DM`

6390:   Collective

6392:   Input Parameters:
6393: + dm        - The `DM`
6394: . minDegree - Minimum degree for a discretization, or `PETSC_DETERMINE` for no limit
6395: - maxDegree - Maximum degree for a discretization, or `PETSC_DETERMINE` for no limit

6397:   Output Parameter:
6398: . newdm - The `DM`

6400:   Level: advanced

6402: .seealso: [](ch_dmbase), `DM`, `DMCopyFields()`, `DMAddField()`, `DMGetDS()`, `DMGetCellDS()`, `DMGetRegionDS()`, `DMSetRegionDS()`
6403: @*/
6404: PetscErrorCode DMCopyDS(DM dm, PetscInt minDegree, PetscInt maxDegree, DM newdm)
6405: {
6406:   PetscInt Nds, s;

6408:   PetscFunctionBegin;
6409:   if (dm == newdm) PetscFunctionReturn(PETSC_SUCCESS);
6410:   PetscCall(DMGetNumDS(dm, &Nds));
6411:   PetscCall(DMClearDS(newdm));
6412:   for (s = 0; s < Nds; ++s) {
6413:     DMLabel  label;
6414:     IS       fields;
6415:     PetscDS  ds, dsIn, newds;
6416:     PetscInt Nbd, bd;

6418:     PetscCall(DMGetRegionNumDS(dm, s, &label, &fields, &ds, &dsIn));
6419:     /* TODO: We need to change all keys from labels in the old DM to labels in the new DM */
6420:     PetscCall(DMTransferDS_Internal(newdm, label, fields, minDegree, maxDegree, ds, dsIn));
6421:     /* Complete new labels in the new DS */
6422:     PetscCall(DMGetRegionDS(newdm, label, NULL, &newds, NULL));
6423:     PetscCall(PetscDSGetNumBoundary(newds, &Nbd));
6424:     for (bd = 0; bd < Nbd; ++bd) {
6425:       PetscWeakForm wf;
6426:       DMLabel       label;
6427:       PetscInt      field;

6429:       PetscCall(PetscDSGetBoundary(newds, bd, &wf, NULL, NULL, &label, NULL, NULL, &field, NULL, NULL, NULL, NULL, NULL));
6430:       PetscCall(PetscWeakFormReplaceLabel(wf, label));
6431:     }
6432:   }
6433:   PetscCall(DMCompleteBCLabels_Internal(newdm));
6434:   PetscFunctionReturn(PETSC_SUCCESS);
6435: }

6437: /*@
6438:   DMCopyDisc - Copy the fields and discrete systems for the `DM` into another `DM`

6440:   Collective

6442:   Input Parameter:
6443: . dm - The `DM`

6445:   Output Parameter:
6446: . newdm - The `DM`

6448:   Level: advanced

6450:   Developer Note:
6451:   Really ugly name, nothing in PETSc is called a `Disc` plus it is an ugly abbreviation

6453: .seealso: [](ch_dmbase), `DM`, `DMCopyFields()`, `DMCopyDS()`
6454: @*/
6455: PetscErrorCode DMCopyDisc(DM dm, DM newdm)
6456: {
6457:   PetscFunctionBegin;
6458:   PetscCall(DMCopyFields(dm, PETSC_DETERMINE, PETSC_DETERMINE, newdm));
6459:   PetscCall(DMCopyDS(dm, PETSC_DETERMINE, PETSC_DETERMINE, newdm));
6460:   PetscFunctionReturn(PETSC_SUCCESS);
6461: }

6463: /*@
6464:   DMGetDimension - Return the topological dimension of the `DM`

6466:   Not Collective

6468:   Input Parameter:
6469: . dm - The `DM`

6471:   Output Parameter:
6472: . dim - The topological dimension

6474:   Level: beginner

6476: .seealso: [](ch_dmbase), `DM`, `DMSetDimension()`, `DMCreate()`
6477: @*/
6478: PetscErrorCode DMGetDimension(DM dm, PetscInt *dim)
6479: {
6480:   PetscFunctionBegin;
6482:   PetscAssertPointer(dim, 2);
6483:   *dim = dm->dim;
6484:   PetscFunctionReturn(PETSC_SUCCESS);
6485: }

6487: /*@
6488:   DMSetDimension - Set the topological dimension of the `DM`

6490:   Collective

6492:   Input Parameters:
6493: + dm  - The `DM`
6494: - dim - The topological dimension

6496:   Level: beginner

6498: .seealso: [](ch_dmbase), `DM`, `DMGetDimension()`, `DMCreate()`
6499: @*/
6500: PetscErrorCode DMSetDimension(DM dm, PetscInt dim)
6501: {
6502:   PetscDS  ds;
6503:   PetscInt Nds, n;

6505:   PetscFunctionBegin;
6508:   if (dm->dim != dim) PetscCall(DMSetPeriodicity(dm, NULL, NULL, NULL));
6509:   dm->dim = dim;
6510:   if (dm->dim >= 0) {
6511:     PetscCall(DMGetNumDS(dm, &Nds));
6512:     for (n = 0; n < Nds; ++n) {
6513:       PetscCall(DMGetRegionNumDS(dm, n, NULL, NULL, &ds, NULL));
6514:       if (ds->dimEmbed < 0) PetscCall(PetscDSSetCoordinateDimension(ds, dim));
6515:     }
6516:   }
6517:   PetscFunctionReturn(PETSC_SUCCESS);
6518: }

6520: /*@
6521:   DMGetDimPoints - Get the half-open interval for all points of a given dimension

6523:   Collective

6525:   Input Parameters:
6526: + dm  - the `DM`
6527: - dim - the dimension

6529:   Output Parameters:
6530: + pStart - The first point of the given dimension
6531: - pEnd   - The first point following points of the given dimension

6533:   Level: intermediate

6535:   Note:
6536:   The points are vertices in the Hasse diagram encoding the topology. This is explained in
6537:   https://arxiv.org/abs/0908.4427. If no points exist of this dimension in the storage scheme,
6538:   then the interval is empty.

6540: .seealso: [](ch_dmbase), `DM`, `DMPLEX`, `DMPlexGetDepthStratum()`, `DMPlexGetHeightStratum()`
6541: @*/
6542: PetscErrorCode DMGetDimPoints(DM dm, PetscInt dim, PetscInt *pStart, PetscInt *pEnd)
6543: {
6544:   PetscInt d;

6546:   PetscFunctionBegin;
6548:   PetscCall(DMGetDimension(dm, &d));
6549:   PetscCheck((dim >= 0) && (dim <= d), PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Invalid dimension %" PetscInt_FMT, dim);
6550:   PetscUseTypeMethod(dm, getdimpoints, dim, pStart, pEnd);
6551:   PetscFunctionReturn(PETSC_SUCCESS);
6552: }

6554: /*@
6555:   DMGetOutputDM - Retrieve the `DM` associated with the layout for output

6557:   Collective

6559:   Input Parameter:
6560: . dm - The original `DM`

6562:   Output Parameter:
6563: . odm - The `DM` which provides the layout for output

6565:   Level: intermediate

6567:   Note:
6568:   In some situations the vector obtained with `DMCreateGlobalVector()` excludes points for degrees of freedom that are associated with fixed (Dirichelet) boundary
6569:   conditions since the algebraic solver does not solve for those variables. The output `DM` includes these excluded points and its global vector contains the
6570:   locations for those dof so that they can be output to a file or other viewer along with the unconstrained dof.

6572: .seealso: [](ch_dmbase), `DM`, `VecView()`, `DMGetGlobalSection()`, `DMCreateGlobalVector()`, `PetscSectionHasConstraints()`, `DMSetGlobalSection()`
6573: @*/
6574: PetscErrorCode DMGetOutputDM(DM dm, DM *odm)
6575: {
6576:   PetscSection section;
6577:   IS           perm;
6578:   PetscBool    hasConstraints, newDM, gnewDM;
6579:   PetscInt     num_face_sfs = 0;

6581:   PetscFunctionBegin;
6583:   PetscAssertPointer(odm, 2);
6584:   PetscCall(DMGetLocalSection(dm, &section));
6585:   PetscCall(PetscSectionHasConstraints(section, &hasConstraints));
6586:   PetscCall(PetscSectionGetPermutation(section, &perm));
6587:   PetscCall(DMPlexGetIsoperiodicFaceSF(dm, &num_face_sfs, NULL));
6588:   newDM = hasConstraints || perm || (num_face_sfs > 0) ? PETSC_TRUE : PETSC_FALSE;
6589:   PetscCallMPI(MPIU_Allreduce(&newDM, &gnewDM, 1, MPI_C_BOOL, MPI_LOR, PetscObjectComm((PetscObject)dm)));
6590:   if (!gnewDM) {
6591:     *odm = dm;
6592:     PetscFunctionReturn(PETSC_SUCCESS);
6593:   }
6594:   if (!dm->dmBC) {
6595:     PetscSection newSection, gsection;
6596:     PetscSF      sf, sfNatural;
6597:     PetscBool    usePerm = dm->ignorePermOutput ? PETSC_FALSE : PETSC_TRUE;

6599:     PetscCall(DMClone(dm, &dm->dmBC));
6600:     PetscCall(DMCopyDisc(dm, dm->dmBC));
6601:     PetscCall(PetscSectionClone(section, &newSection));
6602:     PetscCall(DMSetLocalSection(dm->dmBC, newSection));
6603:     PetscCall(PetscSectionDestroy(&newSection));
6604:     PetscCall(DMGetNaturalSF(dm, &sfNatural));
6605:     PetscCall(DMSetNaturalSF(dm->dmBC, sfNatural));
6606:     PetscCall(DMGetPointSF(dm->dmBC, &sf));
6607:     PetscCall(PetscSectionCreateGlobalSection(section, sf, usePerm, PETSC_TRUE, PETSC_FALSE, &gsection));
6608:     PetscCall(DMSetGlobalSection(dm->dmBC, gsection));
6609:     PetscCall(PetscSectionDestroy(&gsection));
6610:   }
6611:   *odm = dm->dmBC;
6612:   PetscFunctionReturn(PETSC_SUCCESS);
6613: }

6615: /*@
6616:   DMGetOutputSequenceNumber - Retrieve the sequence number/value for output

6618:   Input Parameter:
6619: . dm - The original `DM`

6621:   Output Parameters:
6622: + num - The output sequence number
6623: - val - The output sequence value

6625:   Level: intermediate

6627:   Note:
6628:   This is intended for output that should appear in sequence, for instance
6629:   a set of timesteps in an `PETSCVIEWERHDF5` file, or a set of realizations of a stochastic system.

6631:   Developer Note:
6632:   The `DM` serves as a convenient place to store the current iteration value. The iteration is not
6633:   not directly related to the `DM`.

6635: .seealso: [](ch_dmbase), `DM`, `VecView()`
6636: @*/
6637: PetscErrorCode DMGetOutputSequenceNumber(DM dm, PetscInt *num, PetscReal *val)
6638: {
6639:   PetscFunctionBegin;
6641:   if (num) {
6642:     PetscAssertPointer(num, 2);
6643:     *num = dm->outputSequenceNum;
6644:   }
6645:   if (val) {
6646:     PetscAssertPointer(val, 3);
6647:     *val = dm->outputSequenceVal;
6648:   }
6649:   PetscFunctionReturn(PETSC_SUCCESS);
6650: }

6652: /*@
6653:   DMSetOutputSequenceNumber - Set the sequence number/value for output

6655:   Input Parameters:
6656: + dm  - The original `DM`
6657: . num - The output sequence number
6658: - val - The output sequence value

6660:   Level: intermediate

6662:   Note:
6663:   This is intended for output that should appear in sequence, for instance
6664:   a set of timesteps in an `PETSCVIEWERHDF5` file, or a set of realizations of a stochastic system.

6666: .seealso: [](ch_dmbase), `DM`, `VecView()`
6667: @*/
6668: PetscErrorCode DMSetOutputSequenceNumber(DM dm, PetscInt num, PetscReal val)
6669: {
6670:   PetscFunctionBegin;
6672:   dm->outputSequenceNum = num;
6673:   dm->outputSequenceVal = val;
6674:   PetscFunctionReturn(PETSC_SUCCESS);
6675: }

6677: /*@
6678:   DMOutputSequenceLoad - Retrieve the sequence value from a `PetscViewer`

6680:   Input Parameters:
6681: + dm     - The original `DM`
6682: . viewer - The `PetscViewer` to get it from
6683: . name   - The sequence name
6684: - num    - The output sequence number

6686:   Output Parameter:
6687: . val - The output sequence value

6689:   Level: intermediate

6691:   Note:
6692:   This is intended for output that should appear in sequence, for instance
6693:   a set of timesteps in an `PETSCVIEWERHDF5` file, or a set of realizations of a stochastic system.

6695:   Developer Note:
6696:   It is unclear at the user API level why a `DM` is needed as input

6698: .seealso: [](ch_dmbase), `DM`, `DMGetOutputSequenceNumber()`, `DMSetOutputSequenceNumber()`, `VecView()`
6699: @*/
6700: PetscErrorCode DMOutputSequenceLoad(DM dm, PetscViewer viewer, const char name[], PetscInt num, PetscReal *val)
6701: {
6702:   PetscBool ishdf5;

6704:   PetscFunctionBegin;
6707:   PetscAssertPointer(name, 3);
6708:   PetscAssertPointer(val, 5);
6709:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERHDF5, &ishdf5));
6710:   PetscCheck(ishdf5, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid viewer; open viewer with PetscViewerHDF5Open()");
6711: #if defined(PETSC_HAVE_HDF5)
6712:   PetscScalar value;

6714:   PetscCall(DMSequenceLoad_HDF5_Internal(dm, name, num, &value, viewer));
6715:   *val = PetscRealPart(value);
6716: #endif
6717:   PetscFunctionReturn(PETSC_SUCCESS);
6718: }

6720: /*@
6721:   DMGetOutputSequenceLength - Retrieve the number of sequence values from a `PetscViewer`

6723:   Input Parameters:
6724: + dm     - The original `DM`
6725: . viewer - The `PetscViewer` to get it from
6726: - name   - The sequence name

6728:   Output Parameter:
6729: . len - The length of the output sequence

6731:   Level: intermediate

6733:   Note:
6734:   This is intended for output that should appear in sequence, for instance
6735:   a set of timesteps in an `PETSCVIEWERHDF5` file, or a set of realizations of a stochastic system.

6737:   Developer Note:
6738:   It is unclear at the user API level why a `DM` is needed as input

6740: .seealso: [](ch_dmbase), `DM`, `DMGetOutputSequenceNumber()`, `DMSetOutputSequenceNumber()`, `VecView()`
6741: @*/
6742: PetscErrorCode DMGetOutputSequenceLength(DM dm, PetscViewer viewer, const char name[], PetscInt *len)
6743: {
6744:   PetscBool ishdf5;

6746:   PetscFunctionBegin;
6749:   PetscAssertPointer(name, 3);
6750:   PetscAssertPointer(len, 4);
6751:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERHDF5, &ishdf5));
6752:   PetscCheck(ishdf5, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid viewer; open viewer with PetscViewerHDF5Open()");
6753: #if defined(PETSC_HAVE_HDF5)
6754:   PetscCall(DMSequenceGetLength_HDF5_Internal(dm, name, len, viewer));
6755: #endif
6756:   PetscFunctionReturn(PETSC_SUCCESS);
6757: }

6759: /*@
6760:   DMGetUseNatural - Get the flag for creating a mapping to the natural order when a `DM` is (re)distributed in parallel

6762:   Not Collective

6764:   Input Parameter:
6765: . dm - The `DM`

6767:   Output Parameter:
6768: . useNatural - `PETSC_TRUE` to build the mapping to a natural order during distribution

6770:   Level: beginner

6772: .seealso: [](ch_dmbase), `DM`, `DMSetUseNatural()`, `DMCreate()`
6773: @*/
6774: PetscErrorCode DMGetUseNatural(DM dm, PetscBool *useNatural)
6775: {
6776:   PetscFunctionBegin;
6778:   PetscAssertPointer(useNatural, 2);
6779:   *useNatural = dm->useNatural;
6780:   PetscFunctionReturn(PETSC_SUCCESS);
6781: }

6783: /*@
6784:   DMSetUseNatural - Set the flag for creating a mapping to the natural order when a `DM` is (re)distributed in parallel

6786:   Collective

6788:   Input Parameters:
6789: + dm         - The `DM`
6790: - useNatural - `PETSC_TRUE` to build the mapping to a natural order during distribution

6792:   Level: beginner

6794:   Note:
6795:   This also causes the map to be build after `DMCreateSubDM()` and `DMCreateSuperDM()`

6797: .seealso: [](ch_dmbase), `DM`, `DMGetUseNatural()`, `DMCreate()`, `DMPlexDistribute()`, `DMCreateSubDM()`, `DMCreateSuperDM()`
6798: @*/
6799: PetscErrorCode DMSetUseNatural(DM dm, PetscBool useNatural)
6800: {
6801:   PetscFunctionBegin;
6804:   dm->useNatural = useNatural;
6805:   PetscFunctionReturn(PETSC_SUCCESS);
6806: }

6808: /*@
6809:   DMCreateLabel - Create a label of the given name if it does not already exist in the `DM`

6811:   Not Collective

6813:   Input Parameters:
6814: + dm   - The `DM` object
6815: - name - The label name

6817:   Level: intermediate

6819: .seealso: [](ch_dmbase), `DM`, `DMLabelCreate()`, `DMHasLabel()`, `DMGetLabelValue()`, `DMSetLabelValue()`, `DMGetStratumIS()`
6820: @*/
6821: PetscErrorCode DMCreateLabel(DM dm, const char name[])
6822: {
6823:   PetscBool flg;
6824:   DMLabel   label;

6826:   PetscFunctionBegin;
6828:   PetscAssertPointer(name, 2);
6829:   PetscCall(DMHasLabel(dm, name, &flg));
6830:   if (!flg) {
6831:     PetscCall(DMLabelCreate(PETSC_COMM_SELF, name, &label));
6832:     PetscCall(DMAddLabel(dm, label));
6833:     PetscCall(DMLabelDestroy(&label));
6834:   }
6835:   PetscFunctionReturn(PETSC_SUCCESS);
6836: }

6838: /*@
6839:   DMCreateLabelAtIndex - Create a label of the given name at the given index. If it already exists in the `DM`, move it to this index.

6841:   Not Collective

6843:   Input Parameters:
6844: + dm   - The `DM` object
6845: . l    - The index for the label
6846: - name - The label name

6848:   Level: intermediate

6850: .seealso: [](ch_dmbase), `DM`, `DMCreateLabel()`, `DMLabelCreate()`, `DMHasLabel()`, `DMGetLabelValue()`, `DMSetLabelValue()`, `DMGetStratumIS()`
6851: @*/
6852: PetscErrorCode DMCreateLabelAtIndex(DM dm, PetscInt l, const char name[])
6853: {
6854:   DMLabelLink orig, prev = NULL;
6855:   DMLabel     label;
6856:   PetscInt    Nl, m;
6857:   PetscBool   flg, match;
6858:   const char *lname;

6860:   PetscFunctionBegin;
6862:   PetscAssertPointer(name, 3);
6863:   PetscCall(DMHasLabel(dm, name, &flg));
6864:   if (!flg) {
6865:     PetscCall(DMLabelCreate(PETSC_COMM_SELF, name, &label));
6866:     PetscCall(DMAddLabel(dm, label));
6867:     PetscCall(DMLabelDestroy(&label));
6868:   }
6869:   PetscCall(DMGetNumLabels(dm, &Nl));
6870:   PetscCheck(l < Nl, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Label index %" PetscInt_FMT " must be in [0, %" PetscInt_FMT ")", l, Nl);
6871:   for (m = 0, orig = dm->labels; m < Nl; ++m, prev = orig, orig = orig->next) {
6872:     PetscCall(PetscObjectGetName((PetscObject)orig->label, &lname));
6873:     PetscCall(PetscStrcmp(name, lname, &match));
6874:     if (match) break;
6875:   }
6876:   if (m == l) PetscFunctionReturn(PETSC_SUCCESS);
6877:   if (!m) dm->labels = orig->next;
6878:   else prev->next = orig->next;
6879:   if (!l) {
6880:     orig->next = dm->labels;
6881:     dm->labels = orig;
6882:   } else {
6883:     for (m = 0, prev = dm->labels; m < l - 1; ++m, prev = prev->next);
6884:     orig->next = prev->next;
6885:     prev->next = orig;
6886:   }
6887:   PetscFunctionReturn(PETSC_SUCCESS);
6888: }

6890: /*@
6891:   DMGetLabelValue - Get the value in a `DMLabel` for the given point, with -1 as the default

6893:   Not Collective

6895:   Input Parameters:
6896: + dm    - The `DM` object
6897: . name  - The label name
6898: - point - The mesh point

6900:   Output Parameter:
6901: . value - The label value for this point, or -1 if the point is not in the label

6903:   Level: beginner

6905: .seealso: [](ch_dmbase), `DM`, `DMLabelGetValue()`, `DMSetLabelValue()`, `DMGetStratumIS()`
6906: @*/
6907: PetscErrorCode DMGetLabelValue(DM dm, const char name[], PetscInt point, PetscInt *value)
6908: {
6909:   DMLabel label;

6911:   PetscFunctionBegin;
6913:   PetscAssertPointer(name, 2);
6914:   PetscCall(DMGetLabel(dm, name, &label));
6915:   PetscCheck(label, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "No label named %s was found", name);
6916:   PetscCall(DMLabelGetValue(label, point, value));
6917:   PetscFunctionReturn(PETSC_SUCCESS);
6918: }

6920: /*@
6921:   DMSetLabelValue - Add a point to a `DMLabel` with given value

6923:   Not Collective

6925:   Input Parameters:
6926: + dm    - The `DM` object
6927: . name  - The label name
6928: . point - The mesh point
6929: - value - The label value for this point

6931:   Output Parameter:

6933:   Level: beginner

6935: .seealso: [](ch_dmbase), `DM`, `DMLabelSetValue()`, `DMGetStratumIS()`, `DMClearLabelValue()`
6936: @*/
6937: PetscErrorCode DMSetLabelValue(DM dm, const char name[], PetscInt point, PetscInt value)
6938: {
6939:   DMLabel label;

6941:   PetscFunctionBegin;
6943:   PetscAssertPointer(name, 2);
6944:   PetscCall(DMGetLabel(dm, name, &label));
6945:   if (!label) {
6946:     PetscCall(DMCreateLabel(dm, name));
6947:     PetscCall(DMGetLabel(dm, name, &label));
6948:   }
6949:   PetscCall(DMLabelSetValue(label, point, value));
6950:   PetscFunctionReturn(PETSC_SUCCESS);
6951: }

6953: /*@
6954:   DMClearLabelValue - Remove a point from a `DMLabel` with given value

6956:   Not Collective

6958:   Input Parameters:
6959: + dm    - The `DM` object
6960: . name  - The label name
6961: . point - The mesh point
6962: - value - The label value for this point

6964:   Level: beginner

6966: .seealso: [](ch_dmbase), `DM`, `DMLabelClearValue()`, `DMSetLabelValue()`, `DMGetStratumIS()`
6967: @*/
6968: PetscErrorCode DMClearLabelValue(DM dm, const char name[], PetscInt point, PetscInt value)
6969: {
6970:   DMLabel label;

6972:   PetscFunctionBegin;
6974:   PetscAssertPointer(name, 2);
6975:   PetscCall(DMGetLabel(dm, name, &label));
6976:   if (!label) PetscFunctionReturn(PETSC_SUCCESS);
6977:   PetscCall(DMLabelClearValue(label, point, value));
6978:   PetscFunctionReturn(PETSC_SUCCESS);
6979: }

6981: /*@
6982:   DMGetLabelSize - Get the value of `DMLabelGetNumValues()` of a `DMLabel` in the `DM`

6984:   Not Collective

6986:   Input Parameters:
6987: + dm   - The `DM` object
6988: - name - The label name

6990:   Output Parameter:
6991: . size - The number of different integer ids, or 0 if the label does not exist

6993:   Level: beginner

6995:   Developer Note:
6996:   This should be renamed to something like `DMGetLabelNumValues()` or removed.

6998: .seealso: [](ch_dmbase), `DM`, `DMLabelGetNumValues()`, `DMSetLabelValue()`, `DMGetLabel()`
6999: @*/
7000: PetscErrorCode DMGetLabelSize(DM dm, const char name[], PetscInt *size)
7001: {
7002:   DMLabel label;

7004:   PetscFunctionBegin;
7006:   PetscAssertPointer(name, 2);
7007:   PetscAssertPointer(size, 3);
7008:   PetscCall(DMGetLabel(dm, name, &label));
7009:   *size = 0;
7010:   if (!label) PetscFunctionReturn(PETSC_SUCCESS);
7011:   PetscCall(DMLabelGetNumValues(label, size));
7012:   PetscFunctionReturn(PETSC_SUCCESS);
7013: }

7015: /*@
7016:   DMGetLabelIdIS - Get the `DMLabelGetValueIS()` from a `DMLabel` in the `DM`

7018:   Not Collective

7020:   Input Parameters:
7021: + dm   - The `DM` object
7022: - name - The label name

7024:   Output Parameter:
7025: . ids - The integer ids, or `NULL` if the label does not exist

7027:   Level: beginner

7029: .seealso: [](ch_dmbase), `DM`, `DMLabelGetValueIS()`, `DMGetLabelSize()`
7030: @*/
7031: PetscErrorCode DMGetLabelIdIS(DM dm, const char name[], IS *ids)
7032: {
7033:   DMLabel label;

7035:   PetscFunctionBegin;
7037:   PetscAssertPointer(name, 2);
7038:   PetscAssertPointer(ids, 3);
7039:   PetscCall(DMGetLabel(dm, name, &label));
7040:   *ids = NULL;
7041:   if (label) PetscCall(DMLabelGetValueIS(label, ids));
7042:   else {
7043:     /* returning an empty IS */
7044:     PetscCall(ISCreateGeneral(PETSC_COMM_SELF, 0, NULL, PETSC_USE_POINTER, ids));
7045:   }
7046:   PetscFunctionReturn(PETSC_SUCCESS);
7047: }

7049: /*@
7050:   DMGetStratumSize - Get the number of points in a label stratum

7052:   Not Collective

7054:   Input Parameters:
7055: + dm    - The `DM` object
7056: . name  - The label name of the stratum
7057: - value - The stratum value

7059:   Output Parameter:
7060: . size - The number of points, also called the stratum size

7062:   Level: beginner

7064: .seealso: [](ch_dmbase), `DM`, `DMLabelGetStratumSize()`, `DMGetLabelSize()`, `DMGetLabelIds()`
7065: @*/
7066: PetscErrorCode DMGetStratumSize(DM dm, const char name[], PetscInt value, PetscInt *size)
7067: {
7068:   DMLabel label;

7070:   PetscFunctionBegin;
7072:   PetscAssertPointer(name, 2);
7073:   PetscAssertPointer(size, 4);
7074:   PetscCall(DMGetLabel(dm, name, &label));
7075:   *size = 0;
7076:   if (!label) PetscFunctionReturn(PETSC_SUCCESS);
7077:   PetscCall(DMLabelGetStratumSize(label, value, size));
7078:   PetscFunctionReturn(PETSC_SUCCESS);
7079: }

7081: /*@
7082:   DMGetStratumIS - Get the points in a label stratum

7084:   Not Collective

7086:   Input Parameters:
7087: + dm    - The `DM` object
7088: . name  - The label name
7089: - value - The stratum value

7091:   Output Parameter:
7092: . points - The stratum points, or `NULL` if the label does not exist or does not have that value

7094:   Level: beginner

7096: .seealso: [](ch_dmbase), `DM`, `DMLabelGetStratumIS()`, `DMGetStratumSize()`
7097: @*/
7098: PetscErrorCode DMGetStratumIS(DM dm, const char name[], PetscInt value, IS *points)
7099: {
7100:   DMLabel label;

7102:   PetscFunctionBegin;
7104:   PetscAssertPointer(name, 2);
7105:   PetscAssertPointer(points, 4);
7106:   PetscCall(DMGetLabel(dm, name, &label));
7107:   *points = NULL;
7108:   if (!label) PetscFunctionReturn(PETSC_SUCCESS);
7109:   PetscCall(DMLabelGetStratumIS(label, value, points));
7110:   PetscFunctionReturn(PETSC_SUCCESS);
7111: }

7113: /*@
7114:   DMSetStratumIS - Set the points in a label stratum

7116:   Not Collective

7118:   Input Parameters:
7119: + dm     - The `DM` object
7120: . name   - The label name
7121: . value  - The stratum value
7122: - points - The stratum points

7124:   Level: beginner

7126: .seealso: [](ch_dmbase), `DM`, `DMLabel`, `DMClearLabelStratum()`, `DMLabelClearStratum()`, `DMLabelSetStratumIS()`, `DMGetStratumSize()`
7127: @*/
7128: PetscErrorCode DMSetStratumIS(DM dm, const char name[], PetscInt value, IS points)
7129: {
7130:   DMLabel label;

7132:   PetscFunctionBegin;
7134:   PetscAssertPointer(name, 2);
7136:   PetscCall(DMGetLabel(dm, name, &label));
7137:   if (!label) PetscFunctionReturn(PETSC_SUCCESS);
7138:   PetscCall(DMLabelSetStratumIS(label, value, points));
7139:   PetscFunctionReturn(PETSC_SUCCESS);
7140: }

7142: /*@
7143:   DMClearLabelStratum - Remove all points from a stratum from a `DMLabel`

7145:   Not Collective

7147:   Input Parameters:
7148: + dm    - The `DM` object
7149: . name  - The label name
7150: - value - The label value for this point

7152:   Output Parameter:

7154:   Level: beginner

7156: .seealso: [](ch_dmbase), `DM`, `DMLabel`, `DMLabelClearStratum()`, `DMSetLabelValue()`, `DMGetStratumIS()`, `DMClearLabelValue()`
7157: @*/
7158: PetscErrorCode DMClearLabelStratum(DM dm, const char name[], PetscInt value)
7159: {
7160:   DMLabel label;

7162:   PetscFunctionBegin;
7164:   PetscAssertPointer(name, 2);
7165:   PetscCall(DMGetLabel(dm, name, &label));
7166:   if (!label) PetscFunctionReturn(PETSC_SUCCESS);
7167:   PetscCall(DMLabelClearStratum(label, value));
7168:   PetscFunctionReturn(PETSC_SUCCESS);
7169: }

7171: /*@
7172:   DMGetNumLabels - Return the number of labels defined by on the `DM`

7174:   Not Collective

7176:   Input Parameter:
7177: . dm - The `DM` object

7179:   Output Parameter:
7180: . numLabels - the number of Labels

7182:   Level: intermediate

7184: .seealso: [](ch_dmbase), `DM`, `DMLabel`, `DMGetLabelByNum()`, `DMGetLabelName()`, `DMGetLabelValue()`, `DMSetLabelValue()`, `DMGetStratumIS()`
7185: @*/
7186: PetscErrorCode DMGetNumLabels(DM dm, PetscInt *numLabels)
7187: {
7188:   DMLabelLink next = dm->labels;
7189:   PetscInt    n    = 0;

7191:   PetscFunctionBegin;
7193:   PetscAssertPointer(numLabels, 2);
7194:   while (next) {
7195:     ++n;
7196:     next = next->next;
7197:   }
7198:   *numLabels = n;
7199:   PetscFunctionReturn(PETSC_SUCCESS);
7200: }

7202: /*@
7203:   DMGetLabelName - Return the name of nth label

7205:   Not Collective

7207:   Input Parameters:
7208: + dm - The `DM` object
7209: - n  - the label number

7211:   Output Parameter:
7212: . name - the label name

7214:   Level: intermediate

7216:   Developer Note:
7217:   Some of the functions that appropriate on labels using their number have the suffix ByNum, others do not.

7219: .seealso: [](ch_dmbase), `DM`, `DMLabel`, `DMGetLabelByNum()`, `DMGetLabel()`, `DMGetLabelValue()`, `DMSetLabelValue()`, `DMGetStratumIS()`
7220: @*/
7221: PetscErrorCode DMGetLabelName(DM dm, PetscInt n, const char *name[])
7222: {
7223:   DMLabelLink next = dm->labels;
7224:   PetscInt    l    = 0;

7226:   PetscFunctionBegin;
7228:   PetscAssertPointer(name, 3);
7229:   while (next) {
7230:     if (l == n) {
7231:       PetscCall(PetscObjectGetName((PetscObject)next->label, name));
7232:       PetscFunctionReturn(PETSC_SUCCESS);
7233:     }
7234:     ++l;
7235:     next = next->next;
7236:   }
7237:   SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Label %" PetscInt_FMT " does not exist in this DM", n);
7238: }

7240: /*@
7241:   DMHasLabel - Determine whether the `DM` has a label of a given name

7243:   Not Collective

7245:   Input Parameters:
7246: + dm   - The `DM` object
7247: - name - The label name

7249:   Output Parameter:
7250: . hasLabel - `PETSC_TRUE` if the label is present

7252:   Level: intermediate

7254: .seealso: [](ch_dmbase), `DM`, `DMLabel`, `DMGetLabel()`, `DMGetLabelByNum()`, `DMCreateLabel()`, `DMGetLabelValue()`, `DMSetLabelValue()`, `DMGetStratumIS()`
7255: @*/
7256: PetscErrorCode DMHasLabel(DM dm, const char name[], PetscBool *hasLabel)
7257: {
7258:   DMLabelLink next = dm->labels;
7259:   const char *lname;

7261:   PetscFunctionBegin;
7263:   PetscAssertPointer(name, 2);
7264:   PetscAssertPointer(hasLabel, 3);
7265:   *hasLabel = PETSC_FALSE;
7266:   while (next) {
7267:     PetscCall(PetscObjectGetName((PetscObject)next->label, &lname));
7268:     PetscCall(PetscStrcmp(name, lname, hasLabel));
7269:     if (*hasLabel) break;
7270:     next = next->next;
7271:   }
7272:   PetscFunctionReturn(PETSC_SUCCESS);
7273: }

7275: // PetscClangLinter pragma ignore: -fdoc-section-header-unknown
7276: /*@
7277:   DMGetLabel - Return the label of a given name, or `NULL`, from a `DM`

7279:   Not Collective

7281:   Input Parameters:
7282: + dm   - The `DM` object
7283: - name - The label name

7285:   Output Parameter:
7286: . label - The `DMLabel`, or `NULL` if the label is absent

7288:   Default labels in a `DMPLEX`:
7289: + "depth"       - Holds the depth (co-dimension) of each mesh point
7290: . "celltype"    - Holds the topological type of each cell
7291: . "ghost"       - If the DM is distributed with overlap, this marks the cells and faces in the overlap
7292: . "Cell Sets"   - Mirrors the cell sets defined by GMsh and ExodusII
7293: . "Face Sets"   - Mirrors the face sets defined by GMsh and ExodusII
7294: - "Vertex Sets" - Mirrors the vertex sets defined by GMsh

7296:   Level: intermediate

7298: .seealso: [](ch_dmbase), `DM`, `DMLabel`, `DMHasLabel()`, `DMGetLabelByNum()`, `DMAddLabel()`, `DMCreateLabel()`, `DMPlexGetDepthLabel()`, `DMPlexGetCellType()`
7299: @*/
7300: PetscErrorCode DMGetLabel(DM dm, const char name[], DMLabel *label)
7301: {
7302:   DMLabelLink next = dm->labels;
7303:   PetscBool   hasLabel;
7304:   const char *lname;

7306:   PetscFunctionBegin;
7308:   PetscAssertPointer(name, 2);
7309:   PetscAssertPointer(label, 3);
7310:   *label = NULL;
7311:   while (next) {
7312:     PetscCall(PetscObjectGetName((PetscObject)next->label, &lname));
7313:     PetscCall(PetscStrcmp(name, lname, &hasLabel));
7314:     if (hasLabel) {
7315:       *label = next->label;
7316:       break;
7317:     }
7318:     next = next->next;
7319:   }
7320:   PetscFunctionReturn(PETSC_SUCCESS);
7321: }

7323: /*@
7324:   DMGetLabelByNum - Return the nth label on a `DM`

7326:   Not Collective

7328:   Input Parameters:
7329: + dm - The `DM` object
7330: - n  - the label number

7332:   Output Parameter:
7333: . label - the label

7335:   Level: intermediate

7337: .seealso: [](ch_dmbase), `DM`, `DMLabel`, `DMAddLabel()`, `DMGetLabelValue()`, `DMSetLabelValue()`, `DMGetStratumIS()`
7338: @*/
7339: PetscErrorCode DMGetLabelByNum(DM dm, PetscInt n, DMLabel *label)
7340: {
7341:   DMLabelLink next = dm->labels;
7342:   PetscInt    l    = 0;

7344:   PetscFunctionBegin;
7346:   PetscAssertPointer(label, 3);
7347:   while (next) {
7348:     if (l == n) {
7349:       *label = next->label;
7350:       PetscFunctionReturn(PETSC_SUCCESS);
7351:     }
7352:     ++l;
7353:     next = next->next;
7354:   }
7355:   SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Label %" PetscInt_FMT " does not exist in this DM", n);
7356: }

7358: /*@
7359:   DMAddLabel - Add the label to this `DM`

7361:   Not Collective

7363:   Input Parameters:
7364: + dm    - The `DM` object
7365: - label - The `DMLabel`

7367:   Level: developer

7369: .seealso: [](ch_dmbase), `DM`, `DMLabel`, `DMCreateLabel()`, `DMHasLabel()`, `DMGetLabelValue()`, `DMSetLabelValue()`, `DMGetStratumIS()`
7370: @*/
7371: PetscErrorCode DMAddLabel(DM dm, DMLabel label)
7372: {
7373:   DMLabelLink l, *p, tmpLabel;
7374:   PetscBool   hasLabel;
7375:   const char *lname;
7376:   PetscBool   flg;

7378:   PetscFunctionBegin;
7380:   PetscCall(PetscObjectGetName((PetscObject)label, &lname));
7381:   PetscCall(DMHasLabel(dm, lname, &hasLabel));
7382:   PetscCheck(!hasLabel, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Label %s already exists in this DM", lname);
7383:   PetscCall(PetscCalloc1(1, &tmpLabel));
7384:   tmpLabel->label  = label;
7385:   tmpLabel->output = PETSC_TRUE;
7386:   for (p = &dm->labels; (l = *p); p = &l->next) { }
7387:   *p = tmpLabel;
7388:   PetscCall(PetscObjectReference((PetscObject)label));
7389:   PetscCall(PetscStrcmp(lname, "depth", &flg));
7390:   if (flg) dm->depthLabel = label;
7391:   PetscCall(PetscStrcmp(lname, "celltype", &flg));
7392:   if (flg) dm->celltypeLabel = label;
7393:   PetscFunctionReturn(PETSC_SUCCESS);
7394: }

7396: // PetscClangLinter pragma ignore: -fdoc-section-header-unknown
7397: /*@
7398:   DMSetLabel - Replaces the label of a given name, or ignores it if the name is not present

7400:   Not Collective

7402:   Input Parameters:
7403: + dm    - The `DM` object
7404: - label - The `DMLabel`, having the same name, to substitute

7406:   Default labels in a `DMPLEX`:
7407: + "depth"       - Holds the depth (co-dimension) of each mesh point
7408: . "celltype"    - Holds the topological type of each cell
7409: . "ghost"       - If the DM is distributed with overlap, this marks the cells and faces in the overlap
7410: . "Cell Sets"   - Mirrors the cell sets defined by GMsh and ExodusII
7411: . "Face Sets"   - Mirrors the face sets defined by GMsh and ExodusII
7412: - "Vertex Sets" - Mirrors the vertex sets defined by GMsh

7414:   Level: intermediate

7416: .seealso: [](ch_dmbase), `DM`, `DMLabel`, `DMCreateLabel()`, `DMHasLabel()`, `DMPlexGetDepthLabel()`, `DMPlexGetCellType()`
7417: @*/
7418: PetscErrorCode DMSetLabel(DM dm, DMLabel label)
7419: {
7420:   DMLabelLink next = dm->labels;
7421:   PetscBool   hasLabel, flg;
7422:   const char *name, *lname;

7424:   PetscFunctionBegin;
7427:   PetscCall(PetscObjectGetName((PetscObject)label, &name));
7428:   while (next) {
7429:     PetscCall(PetscObjectGetName((PetscObject)next->label, &lname));
7430:     PetscCall(PetscStrcmp(name, lname, &hasLabel));
7431:     if (hasLabel) {
7432:       PetscCall(PetscObjectReference((PetscObject)label));
7433:       PetscCall(PetscStrcmp(lname, "depth", &flg));
7434:       if (flg) dm->depthLabel = label;
7435:       PetscCall(PetscStrcmp(lname, "celltype", &flg));
7436:       if (flg) dm->celltypeLabel = label;
7437:       PetscCall(DMLabelDestroy(&next->label));
7438:       next->label = label;
7439:       break;
7440:     }
7441:     next = next->next;
7442:   }
7443:   PetscFunctionReturn(PETSC_SUCCESS);
7444: }

7446: /*@
7447:   DMRemoveLabel - Remove the label given by name from this `DM`

7449:   Not Collective

7451:   Input Parameters:
7452: + dm   - The `DM` object
7453: - name - The label name

7455:   Output Parameter:
7456: . label - The `DMLabel`, or `NULL` if the label is absent. Pass in `NULL` to call `DMLabelDestroy()` on the label, otherwise the
7457:           caller is responsible for calling `DMLabelDestroy()`.

7459:   Level: developer

7461: .seealso: [](ch_dmbase), `DM`, `DMLabel`, `DMCreateLabel()`, `DMHasLabel()`, `DMGetLabel()`, `DMGetLabelValue()`, `DMSetLabelValue()`, `DMLabelDestroy()`, `DMRemoveLabelBySelf()`
7462: @*/
7463: PetscErrorCode DMRemoveLabel(DM dm, const char name[], DMLabel *label)
7464: {
7465:   DMLabelLink link, *pnext;
7466:   PetscBool   hasLabel;
7467:   const char *lname;

7469:   PetscFunctionBegin;
7471:   PetscAssertPointer(name, 2);
7472:   if (label) {
7473:     PetscAssertPointer(label, 3);
7474:     *label = NULL;
7475:   }
7476:   for (pnext = &dm->labels; (link = *pnext); pnext = &link->next) {
7477:     PetscCall(PetscObjectGetName((PetscObject)link->label, &lname));
7478:     PetscCall(PetscStrcmp(name, lname, &hasLabel));
7479:     if (hasLabel) {
7480:       *pnext = link->next; /* Remove from list */
7481:       PetscCall(PetscStrcmp(name, "depth", &hasLabel));
7482:       if (hasLabel) dm->depthLabel = NULL;
7483:       PetscCall(PetscStrcmp(name, "celltype", &hasLabel));
7484:       if (hasLabel) dm->celltypeLabel = NULL;
7485:       if (label) *label = link->label;
7486:       else PetscCall(DMLabelDestroy(&link->label));
7487:       PetscCall(PetscFree(link));
7488:       break;
7489:     }
7490:   }
7491:   PetscFunctionReturn(PETSC_SUCCESS);
7492: }

7494: /*@
7495:   DMRemoveLabelBySelf - Remove the label from this `DM`

7497:   Not Collective

7499:   Input Parameters:
7500: + dm           - The `DM` object
7501: . label        - The `DMLabel` to be removed from the `DM`
7502: - failNotFound - Should it fail if the label is not found in the `DM`?

7504:   Level: developer

7506:   Note:
7507:   Only exactly the same instance is removed if found, name match is ignored.
7508:   If the `DM` has an exclusive reference to the label, the label gets destroyed and
7509:   *label nullified.

7511: .seealso: [](ch_dmbase), `DM`, `DMLabel`, `DMCreateLabel()`, `DMHasLabel()`, `DMGetLabel()`, `DMGetLabelValue()`, `DMSetLabelValue()`, `DMLabelDestroy()`, `DMRemoveLabel()`
7512: @*/
7513: PetscErrorCode DMRemoveLabelBySelf(DM dm, DMLabel *label, PetscBool failNotFound)
7514: {
7515:   DMLabelLink link, *pnext;
7516:   PetscBool   hasLabel = PETSC_FALSE;

7518:   PetscFunctionBegin;
7520:   PetscAssertPointer(label, 2);
7521:   if (!*label && !failNotFound) PetscFunctionReturn(PETSC_SUCCESS);
7524:   for (pnext = &dm->labels; (link = *pnext); pnext = &link->next) {
7525:     if (*label == link->label) {
7526:       hasLabel = PETSC_TRUE;
7527:       *pnext   = link->next; /* Remove from list */
7528:       if (*label == dm->depthLabel) dm->depthLabel = NULL;
7529:       if (*label == dm->celltypeLabel) dm->celltypeLabel = NULL;
7530:       if (((PetscObject)link->label)->refct < 2) *label = NULL; /* nullify if exclusive reference */
7531:       PetscCall(DMLabelDestroy(&link->label));
7532:       PetscCall(PetscFree(link));
7533:       break;
7534:     }
7535:   }
7536:   PetscCheck(hasLabel || !failNotFound, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Given label not found in DM");
7537:   PetscFunctionReturn(PETSC_SUCCESS);
7538: }

7540: /*@
7541:   DMGetLabelOutput - Get the output flag for a given label

7543:   Not Collective

7545:   Input Parameters:
7546: + dm   - The `DM` object
7547: - name - The label name

7549:   Output Parameter:
7550: . output - The flag for output

7552:   Level: developer

7554: .seealso: [](ch_dmbase), `DM`, `DMLabel`, `DMSetLabelOutput()`, `DMCreateLabel()`, `DMHasLabel()`, `DMGetLabelValue()`, `DMSetLabelValue()`, `DMGetStratumIS()`
7555: @*/
7556: PetscErrorCode DMGetLabelOutput(DM dm, const char name[], PetscBool *output)
7557: {
7558:   DMLabelLink next = dm->labels;
7559:   const char *lname;

7561:   PetscFunctionBegin;
7563:   PetscAssertPointer(name, 2);
7564:   PetscAssertPointer(output, 3);
7565:   while (next) {
7566:     PetscBool flg;

7568:     PetscCall(PetscObjectGetName((PetscObject)next->label, &lname));
7569:     PetscCall(PetscStrcmp(name, lname, &flg));
7570:     if (flg) {
7571:       *output = next->output;
7572:       PetscFunctionReturn(PETSC_SUCCESS);
7573:     }
7574:     next = next->next;
7575:   }
7576:   SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "No label named %s was present in this dm", name);
7577: }

7579: /*@
7580:   DMSetLabelOutput - Set if a given label should be saved to a `PetscViewer` in calls to `DMView()`

7582:   Not Collective

7584:   Input Parameters:
7585: + dm     - The `DM` object
7586: . name   - The label name
7587: - output - `PETSC_TRUE` to save the label to the viewer

7589:   Level: developer

7591: .seealso: [](ch_dmbase), `DM`, `DMLabel`, `DMGetOutputFlag()`, `DMGetLabelOutput()`, `DMCreateLabel()`, `DMHasLabel()`, `DMGetLabelValue()`, `DMSetLabelValue()`, `DMGetStratumIS()`
7592: @*/
7593: PetscErrorCode DMSetLabelOutput(DM dm, const char name[], PetscBool output)
7594: {
7595:   DMLabelLink next = dm->labels;
7596:   const char *lname;

7598:   PetscFunctionBegin;
7600:   PetscAssertPointer(name, 2);
7601:   while (next) {
7602:     PetscBool flg;

7604:     PetscCall(PetscObjectGetName((PetscObject)next->label, &lname));
7605:     PetscCall(PetscStrcmp(name, lname, &flg));
7606:     if (flg) {
7607:       next->output = output;
7608:       PetscFunctionReturn(PETSC_SUCCESS);
7609:     }
7610:     next = next->next;
7611:   }
7612:   SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "No label named %s was present in this dm", name);
7613: }

7615: /*@
7616:   DMCopyLabels - Copy labels from one `DM` mesh to another `DM` with a superset of the points

7618:   Collective

7620:   Input Parameters:
7621: + dmA   - The `DM` object with initial labels
7622: . dmB   - The `DM` object to which labels are copied
7623: . mode  - Copy labels by pointers (`PETSC_OWN_POINTER`) or duplicate them (`PETSC_COPY_VALUES`)
7624: . all   - Copy all labels including "depth", "dim", and "celltype" (`PETSC_TRUE`) which are otherwise ignored (`PETSC_FALSE`)
7625: - emode - How to behave when a `DMLabel` in the source and destination `DM`s with the same name is encountered (see `DMCopyLabelsMode`)

7627:   Level: intermediate

7629:   Note:
7630:   This is typically used when interpolating or otherwise adding to a mesh, or testing.

7632: .seealso: [](ch_dmbase), `DM`, `DMLabel`, `DMAddLabel()`, `DMCopyLabelsMode`
7633: @*/
7634: PetscErrorCode DMCopyLabels(DM dmA, DM dmB, PetscCopyMode mode, PetscBool all, DMCopyLabelsMode emode)
7635: {
7636:   DMLabel     label, labelNew, labelOld;
7637:   const char *name;
7638:   PetscBool   flg;
7639:   DMLabelLink link;

7641:   PetscFunctionBegin;
7646:   PetscCheck(mode != PETSC_USE_POINTER, PetscObjectComm((PetscObject)dmA), PETSC_ERR_SUP, "PETSC_USE_POINTER not supported for objects");
7647:   if (dmA == dmB) PetscFunctionReturn(PETSC_SUCCESS);
7648:   for (link = dmA->labels; link; link = link->next) {
7649:     label = link->label;
7650:     PetscCall(PetscObjectGetName((PetscObject)label, &name));
7651:     if (!all) {
7652:       PetscCall(PetscStrcmp(name, "depth", &flg));
7653:       if (flg) continue;
7654:       PetscCall(PetscStrcmp(name, "dim", &flg));
7655:       if (flg) continue;
7656:       PetscCall(PetscStrcmp(name, "celltype", &flg));
7657:       if (flg) continue;
7658:     }
7659:     PetscCall(DMGetLabel(dmB, name, &labelOld));
7660:     if (labelOld) {
7661:       switch (emode) {
7662:       case DM_COPY_LABELS_KEEP:
7663:         continue;
7664:       case DM_COPY_LABELS_REPLACE:
7665:         PetscCall(DMRemoveLabelBySelf(dmB, &labelOld, PETSC_TRUE));
7666:         break;
7667:       case DM_COPY_LABELS_FAIL:
7668:         SETERRQ(PetscObjectComm((PetscObject)dmA), PETSC_ERR_ARG_OUTOFRANGE, "Label %s already exists in destination DM", name);
7669:       default:
7670:         SETERRQ(PetscObjectComm((PetscObject)dmA), PETSC_ERR_ARG_OUTOFRANGE, "Unhandled DMCopyLabelsMode %d", (int)emode);
7671:       }
7672:     }
7673:     if (mode == PETSC_COPY_VALUES) PetscCall(DMLabelDuplicate(label, &labelNew));
7674:     else labelNew = label;
7675:     PetscCall(DMAddLabel(dmB, labelNew));
7676:     if (mode == PETSC_COPY_VALUES) PetscCall(DMLabelDestroy(&labelNew));
7677:   }
7678:   PetscFunctionReturn(PETSC_SUCCESS);
7679: }

7681: /*@C
7682:   DMCompareLabels - Compare labels between two `DM` objects

7684:   Collective; No Fortran Support

7686:   Input Parameters:
7687: + dm0 - First `DM` object
7688: - dm1 - Second `DM` object

7690:   Output Parameters:
7691: + equal   - (Optional) Flag whether labels of `dm0` and `dm1` are the same
7692: - message - (Optional) Message describing the difference, or `NULL` if there is no difference

7694:   Level: intermediate

7696:   Notes:
7697:   The output flag equal will be the same on all processes.

7699:   If equal is passed as `NULL` and difference is found, an error is thrown on all processes.

7701:   Make sure to pass equal is `NULL` on all processes or none of them.

7703:   The output message is set independently on each rank.

7705:   message must be freed with `PetscFree()`

7707:   If message is passed as `NULL` and a difference is found, the difference description is printed to `stderr` in synchronized manner.

7709:   Make sure to pass message as `NULL` on all processes or no processes.

7711:   Labels are matched by name. If the number of labels and their names are equal,
7712:   `DMLabelCompare()` is used to compare each pair of labels with the same name.

7714:   Developer Note:
7715:   Cannot automatically generate the Fortran stub because `message` must be freed with `PetscFree()`

7717: .seealso: [](ch_dmbase), `DM`, `DMLabel`, `DMAddLabel()`, `DMCopyLabelsMode`, `DMLabelCompare()`
7718: @*/
7719: PetscErrorCode DMCompareLabels(DM dm0, DM dm1, PetscBool *equal, char *message[]) PeNS
7720: {
7721:   PetscInt    n, i;
7722:   char        msg[PETSC_MAX_PATH_LEN] = "";
7723:   PetscBool   eq;
7724:   MPI_Comm    comm;
7725:   PetscMPIInt rank;

7727:   PetscFunctionBegin;
7730:   PetscCheckSameComm(dm0, 1, dm1, 2);
7731:   if (equal) PetscAssertPointer(equal, 3);
7732:   if (message) PetscAssertPointer(message, 4);
7733:   PetscCall(PetscObjectGetComm((PetscObject)dm0, &comm));
7734:   PetscCallMPI(MPI_Comm_rank(comm, &rank));
7735:   {
7736:     PetscInt n1;

7738:     PetscCall(DMGetNumLabels(dm0, &n));
7739:     PetscCall(DMGetNumLabels(dm1, &n1));
7740:     eq = (PetscBool)(n == n1);
7741:     if (!eq) PetscCall(PetscSNPrintf(msg, sizeof(msg), "Number of labels in dm0 = %" PetscInt_FMT " != %" PetscInt_FMT " = Number of labels in dm1", n, n1));
7742:     PetscCallMPI(MPIU_Allreduce(MPI_IN_PLACE, &eq, 1, MPI_C_BOOL, MPI_LAND, comm));
7743:     if (!eq) goto finish;
7744:   }
7745:   for (i = 0; i < n; i++) {
7746:     DMLabel     l0, l1;
7747:     const char *name;
7748:     char       *msgInner;

7750:     /* Ignore label order */
7751:     PetscCall(DMGetLabelByNum(dm0, i, &l0));
7752:     PetscCall(PetscObjectGetName((PetscObject)l0, &name));
7753:     PetscCall(DMGetLabel(dm1, name, &l1));
7754:     if (!l1) {
7755:       PetscCall(PetscSNPrintf(msg, sizeof(msg), "Label \"%s\" (#%" PetscInt_FMT " in dm0) not found in dm1", name, i));
7756:       eq = PETSC_FALSE;
7757:       break;
7758:     }
7759:     PetscCall(DMLabelCompare(comm, l0, l1, &eq, &msgInner));
7760:     PetscCall(PetscStrncpy(msg, msgInner, sizeof(msg)));
7761:     PetscCall(PetscFree(msgInner));
7762:     if (!eq) break;
7763:   }
7764:   PetscCallMPI(MPIU_Allreduce(MPI_IN_PLACE, &eq, 1, MPI_C_BOOL, MPI_LAND, comm));
7765: finish:
7766:   /* If message output arg not set, print to stderr */
7767:   if (message) {
7768:     *message = NULL;
7769:     if (msg[0]) PetscCall(PetscStrallocpy(msg, message));
7770:   } else {
7771:     if (msg[0]) PetscCall(PetscSynchronizedFPrintf(comm, PETSC_STDERR, "[%d] %s\n", rank, msg));
7772:     PetscCall(PetscSynchronizedFlush(comm, PETSC_STDERR));
7773:   }
7774:   /* If same output arg not ser and labels are not equal, throw error */
7775:   if (equal) *equal = eq;
7776:   else PetscCheck(eq, comm, PETSC_ERR_ARG_INCOMP, "DMLabels are not the same in dm0 and dm1");
7777:   PetscFunctionReturn(PETSC_SUCCESS);
7778: }

7780: PetscErrorCode DMSetLabelValue_Fast(DM dm, DMLabel *label, const char name[], PetscInt point, PetscInt value)
7781: {
7782:   PetscFunctionBegin;
7783:   PetscAssertPointer(label, 2);
7784:   if (!*label) {
7785:     PetscCall(DMCreateLabel(dm, name));
7786:     PetscCall(DMGetLabel(dm, name, label));
7787:   }
7788:   PetscCall(DMLabelSetValue(*label, point, value));
7789:   PetscFunctionReturn(PETSC_SUCCESS);
7790: }

7792: /*
7793:   Many mesh programs, such as Triangle and TetGen, allow only a single label for each mesh point. Therefore, we would
7794:   like to encode all label IDs using a single, universal label. We can do this by assigning an integer to every
7795:   (label, id) pair in the DM.

7797:   However, a mesh point can have multiple labels, so we must separate all these values. We will assign a bit range to
7798:   each label.
7799: */
7800: PetscErrorCode DMUniversalLabelCreate(DM dm, DMUniversalLabel *universal)
7801: {
7802:   DMUniversalLabel ul;
7803:   PetscBool       *active;
7804:   PetscInt         pStart, pEnd, p, Nl, l, m;

7806:   PetscFunctionBegin;
7807:   PetscCall(PetscMalloc1(1, &ul));
7808:   PetscCall(DMLabelCreate(PETSC_COMM_SELF, "universal", &ul->label));
7809:   PetscCall(DMGetNumLabels(dm, &Nl));
7810:   PetscCall(PetscCalloc1(Nl, &active));
7811:   ul->Nl = 0;
7812:   for (l = 0; l < Nl; ++l) {
7813:     PetscBool   isdepth, iscelltype;
7814:     const char *name;

7816:     PetscCall(DMGetLabelName(dm, l, &name));
7817:     PetscCall(PetscStrncmp(name, "depth", 6, &isdepth));
7818:     PetscCall(PetscStrncmp(name, "celltype", 9, &iscelltype));
7819:     active[l] = !(isdepth || iscelltype) ? PETSC_TRUE : PETSC_FALSE;
7820:     if (active[l]) ++ul->Nl;
7821:   }
7822:   PetscCall(PetscCalloc5(ul->Nl, &ul->names, ul->Nl, &ul->indices, ul->Nl + 1, &ul->offsets, ul->Nl + 1, &ul->bits, ul->Nl, &ul->masks));
7823:   ul->Nv = 0;
7824:   for (l = 0, m = 0; l < Nl; ++l) {
7825:     DMLabel     label;
7826:     PetscInt    nv;
7827:     const char *name;

7829:     if (!active[l]) continue;
7830:     PetscCall(DMGetLabelName(dm, l, &name));
7831:     PetscCall(DMGetLabelByNum(dm, l, &label));
7832:     PetscCall(DMLabelGetNumValues(label, &nv));
7833:     PetscCall(PetscStrallocpy(name, &ul->names[m]));
7834:     ul->indices[m] = l;
7835:     ul->Nv += nv;
7836:     ul->offsets[m + 1] = nv;
7837:     ul->bits[m + 1]    = PetscCeilReal(PetscLog2Real(nv + 1));
7838:     ++m;
7839:   }
7840:   for (l = 1; l <= ul->Nl; ++l) {
7841:     ul->offsets[l] = ul->offsets[l - 1] + ul->offsets[l];
7842:     ul->bits[l]    = ul->bits[l - 1] + ul->bits[l];
7843:   }
7844:   for (l = 0; l < ul->Nl; ++l) {
7845:     PetscInt b;

7847:     ul->masks[l] = 0;
7848:     for (b = ul->bits[l]; b < ul->bits[l + 1]; ++b) ul->masks[l] |= 1 << b;
7849:   }
7850:   PetscCall(PetscMalloc1(ul->Nv, &ul->values));
7851:   for (l = 0, m = 0; l < Nl; ++l) {
7852:     DMLabel         label;
7853:     IS              valueIS;
7854:     const PetscInt *varr;
7855:     PetscInt        nv, v;

7857:     if (!active[l]) continue;
7858:     PetscCall(DMGetLabelByNum(dm, l, &label));
7859:     PetscCall(DMLabelGetNumValues(label, &nv));
7860:     PetscCall(DMLabelGetValueIS(label, &valueIS));
7861:     PetscCall(ISGetIndices(valueIS, &varr));
7862:     for (v = 0; v < nv; ++v) ul->values[ul->offsets[m] + v] = varr[v];
7863:     PetscCall(ISRestoreIndices(valueIS, &varr));
7864:     PetscCall(ISDestroy(&valueIS));
7865:     PetscCall(PetscSortInt(nv, &ul->values[ul->offsets[m]]));
7866:     ++m;
7867:   }
7868:   PetscCall(DMPlexGetChart(dm, &pStart, &pEnd));
7869:   for (p = pStart; p < pEnd; ++p) {
7870:     PetscInt  uval   = 0;
7871:     PetscBool marked = PETSC_FALSE;

7873:     for (l = 0, m = 0; l < Nl; ++l) {
7874:       DMLabel  label;
7875:       PetscInt val, defval, loc, nv;

7877:       if (!active[l]) continue;
7878:       PetscCall(DMGetLabelByNum(dm, l, &label));
7879:       PetscCall(DMLabelGetValue(label, p, &val));
7880:       PetscCall(DMLabelGetDefaultValue(label, &defval));
7881:       if (val == defval) {
7882:         ++m;
7883:         continue;
7884:       }
7885:       nv     = ul->offsets[m + 1] - ul->offsets[m];
7886:       marked = PETSC_TRUE;
7887:       PetscCall(PetscFindInt(val, nv, &ul->values[ul->offsets[m]], &loc));
7888:       PetscCheck(loc >= 0, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Label value %" PetscInt_FMT " not found in compression array", val);
7889:       uval += (loc + 1) << ul->bits[m];
7890:       ++m;
7891:     }
7892:     if (marked) PetscCall(DMLabelSetValue(ul->label, p, uval));
7893:   }
7894:   PetscCall(PetscFree(active));
7895:   *universal = ul;
7896:   PetscFunctionReturn(PETSC_SUCCESS);
7897: }

7899: PetscErrorCode DMUniversalLabelDestroy(DMUniversalLabel *universal)
7900: {
7901:   PetscInt l;

7903:   PetscFunctionBegin;
7904:   for (l = 0; l < (*universal)->Nl; ++l) PetscCall(PetscFree((*universal)->names[l]));
7905:   PetscCall(DMLabelDestroy(&(*universal)->label));
7906:   PetscCall(PetscFree5((*universal)->names, (*universal)->indices, (*universal)->offsets, (*universal)->bits, (*universal)->masks));
7907:   PetscCall(PetscFree((*universal)->values));
7908:   PetscCall(PetscFree(*universal));
7909:   *universal = NULL;
7910:   PetscFunctionReturn(PETSC_SUCCESS);
7911: }

7913: PetscErrorCode DMUniversalLabelGetLabel(DMUniversalLabel ul, DMLabel *ulabel)
7914: {
7915:   PetscFunctionBegin;
7916:   PetscAssertPointer(ulabel, 2);
7917:   *ulabel = ul->label;
7918:   PetscFunctionReturn(PETSC_SUCCESS);
7919: }

7921: PetscErrorCode DMUniversalLabelCreateLabels(DMUniversalLabel ul, PetscBool preserveOrder, DM dm)
7922: {
7923:   PetscInt Nl = ul->Nl, l;

7925:   PetscFunctionBegin;
7927:   for (l = 0; l < Nl; ++l) {
7928:     if (preserveOrder) PetscCall(DMCreateLabelAtIndex(dm, ul->indices[l], ul->names[l]));
7929:     else PetscCall(DMCreateLabel(dm, ul->names[l]));
7930:   }
7931:   if (preserveOrder) {
7932:     for (l = 0; l < ul->Nl; ++l) {
7933:       const char *name;
7934:       PetscBool   match;

7936:       PetscCall(DMGetLabelName(dm, ul->indices[l], &name));
7937:       PetscCall(PetscStrcmp(name, ul->names[l], &match));
7938:       PetscCheck(match, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Label %" PetscInt_FMT " name %s does not match new name %s", l, name, ul->names[l]);
7939:     }
7940:   }
7941:   PetscFunctionReturn(PETSC_SUCCESS);
7942: }

7944: PetscErrorCode DMUniversalLabelSetLabelValue(DMUniversalLabel ul, DM dm, PetscBool useIndex, PetscInt p, PetscInt value)
7945: {
7946:   PetscInt l;

7948:   PetscFunctionBegin;
7949:   for (l = 0; l < ul->Nl; ++l) {
7950:     DMLabel  label;
7951:     PetscInt lval = (value & ul->masks[l]) >> ul->bits[l];

7953:     if (lval) {
7954:       if (useIndex) PetscCall(DMGetLabelByNum(dm, ul->indices[l], &label));
7955:       else PetscCall(DMGetLabel(dm, ul->names[l], &label));
7956:       PetscCall(DMLabelSetValue(label, p, ul->values[ul->offsets[l] + lval - 1]));
7957:     }
7958:   }
7959:   PetscFunctionReturn(PETSC_SUCCESS);
7960: }

7962: /*@
7963:   DMGetCoarseDM - Get the coarse `DM`from which this `DM` was obtained by refinement

7965:   Not Collective

7967:   Input Parameter:
7968: . dm - The `DM` object

7970:   Output Parameter:
7971: . cdm - The coarse `DM`

7973:   Level: intermediate

7975: .seealso: [](ch_dmbase), `DM`, `DMSetCoarseDM()`, `DMCoarsen()`
7976: @*/
7977: PetscErrorCode DMGetCoarseDM(DM dm, DM *cdm)
7978: {
7979:   PetscFunctionBegin;
7981:   PetscAssertPointer(cdm, 2);
7982:   *cdm = dm->coarseMesh;
7983:   PetscFunctionReturn(PETSC_SUCCESS);
7984: }

7986: /*@
7987:   DMSetCoarseDM - Set the coarse `DM` from which this `DM` was obtained by refinement

7989:   Input Parameters:
7990: + dm  - The `DM` object
7991: - cdm - The coarse `DM`

7993:   Level: intermediate

7995:   Note:
7996:   Normally this is set automatically by `DMRefine()`

7998: .seealso: [](ch_dmbase), `DM`, `DMGetCoarseDM()`, `DMCoarsen()`, `DMSetRefine()`, `DMSetFineDM()`
7999: @*/
8000: PetscErrorCode DMSetCoarseDM(DM dm, DM cdm)
8001: {
8002:   PetscFunctionBegin;
8005:   if (dm == cdm) cdm = NULL;
8006:   PetscCall(PetscObjectReference((PetscObject)cdm));
8007:   PetscCall(DMDestroy(&dm->coarseMesh));
8008:   dm->coarseMesh = cdm;
8009:   PetscFunctionReturn(PETSC_SUCCESS);
8010: }

8012: /*@
8013:   DMGetFineDM - Get the fine mesh from which this `DM` was obtained by coarsening

8015:   Input Parameter:
8016: . dm - The `DM` object

8018:   Output Parameter:
8019: . fdm - The fine `DM`

8021:   Level: intermediate

8023: .seealso: [](ch_dmbase), `DM`, `DMSetFineDM()`, `DMCoarsen()`, `DMRefine()`
8024: @*/
8025: PetscErrorCode DMGetFineDM(DM dm, DM *fdm)
8026: {
8027:   PetscFunctionBegin;
8029:   PetscAssertPointer(fdm, 2);
8030:   *fdm = dm->fineMesh;
8031:   PetscFunctionReturn(PETSC_SUCCESS);
8032: }

8034: /*@
8035:   DMSetFineDM - Set the fine mesh from which this was obtained by coarsening

8037:   Input Parameters:
8038: + dm  - The `DM` object
8039: - fdm - The fine `DM`

8041:   Level: developer

8043:   Note:
8044:   Normally this is set automatically by `DMCoarsen()`

8046: .seealso: [](ch_dmbase), `DM`, `DMGetFineDM()`, `DMCoarsen()`, `DMRefine()`
8047: @*/
8048: PetscErrorCode DMSetFineDM(DM dm, DM fdm)
8049: {
8050:   PetscFunctionBegin;
8053:   if (dm == fdm) fdm = NULL;
8054:   PetscCall(PetscObjectReference((PetscObject)fdm));
8055:   PetscCall(DMDestroy(&dm->fineMesh));
8056:   dm->fineMesh = fdm;
8057:   PetscFunctionReturn(PETSC_SUCCESS);
8058: }

8060: /*@C
8061:   DMAddBoundary - Add a boundary condition, for a single field, to a model represented by a `DM`

8063:   Collective

8065:   Input Parameters:
8066: + dm       - The `DM`, with a `PetscDS` that matches the problem being constrained
8067: . type     - The type of condition, e.g. `DM_BC_ESSENTIAL_ANALYTIC`, `DM_BC_ESSENTIAL_FIELD` (Dirichlet), or `DM_BC_NATURAL` (Neumann)
8068: . name     - The BC name
8069: . label    - The label defining constrained points
8070: . Nv       - The number of `DMLabel` values for constrained points
8071: . values   - An array of values for constrained points
8072: . field    - The field to constrain
8073: . Nc       - The number of constrained field components (0 will constrain all components)
8074: . comps    - An array of constrained component numbers
8075: . bcFunc   - A pointwise function giving boundary values
8076: . bcFunc_t - A pointwise function giving the time derivative of the boundary values, or `NULL`
8077: - ctx      - An optional user context for bcFunc

8079:   Output Parameter:
8080: . bd - (Optional) Boundary number

8082:   Options Database Keys:
8083: + -bc_NAME values     - Overrides the boundary ids for boundary named NAME
8084: - -bc_NAME_comp comps - Overrides the boundary components for boundary named NAME

8086:   Level: intermediate

8088:   Notes:
8089:   If the `DM` is of type `DMPLEX` and the field is of type `PetscFE`, then this function completes the label using `DMPlexLabelComplete()`.

8091:   Both bcFunc and bcFunc_t will depend on the boundary condition type. If the type if `DM_BC_ESSENTIAL`, then the calling sequence is\:
8092: .vb
8093:  void bcFunc(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar bcval[])
8094: .ve

8096:   If the type is `DM_BC_ESSENTIAL_FIELD` or other _FIELD value, then the calling sequence is\:

8098: .vb
8099:   void bcFunc(PetscInt dim, PetscInt Nf, PetscInt NfAux,
8100:               const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[],
8101:               const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[],
8102:               PetscReal time, const PetscReal x[], PetscScalar bcval[])
8103: .ve
8104: + dim - the spatial dimension
8105: . Nf - the number of fields
8106: . uOff - the offset into u[] and u_t[] for each field
8107: . uOff_x - the offset into u_x[] for each field
8108: . u - each field evaluated at the current point
8109: . u_t - the time derivative of each field evaluated at the current point
8110: . u_x - the gradient of each field evaluated at the current point
8111: . aOff - the offset into a[] and a_t[] for each auxiliary field
8112: . aOff_x - the offset into a_x[] for each auxiliary field
8113: . a - each auxiliary field evaluated at the current point
8114: . a_t - the time derivative of each auxiliary field evaluated at the current point
8115: . a_x - the gradient of auxiliary each field evaluated at the current point
8116: . t - current time
8117: . x - coordinates of the current point
8118: . numConstants - number of constant parameters
8119: . constants - constant parameters
8120: - bcval - output values at the current point

8122: .seealso: [](ch_dmbase), `DM`, `DSGetBoundary()`, `PetscDSAddBoundary()`
8123: @*/
8124: PetscErrorCode DMAddBoundary(DM dm, DMBoundaryConditionType type, const char name[], DMLabel label, PetscInt Nv, const PetscInt values[], PetscInt field, PetscInt Nc, const PetscInt comps[], PetscVoidFn *bcFunc, PetscVoidFn *bcFunc_t, PetscCtx ctx, PetscInt *bd)
8125: {
8126:   PetscDS ds;

8128:   PetscFunctionBegin;
8135:   PetscCheck(!dm->localSection, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONGSTATE, "Cannot add boundary to DM after creating local section");
8136:   PetscCall(DMGetDS(dm, &ds));
8137:   /* Complete label */
8138:   if (label) {
8139:     PetscObject  obj;
8140:     PetscClassId id;

8142:     PetscCall(DMGetField(dm, field, NULL, &obj));
8143:     PetscCall(PetscObjectGetClassId(obj, &id));
8144:     if (id == PETSCFE_CLASSID) {
8145:       DM plex;

8147:       PetscCall(DMConvert(dm, DMPLEX, &plex));
8148:       if (plex) PetscCall(DMPlexLabelComplete(plex, label));
8149:       PetscCall(DMDestroy(&plex));
8150:     }
8151:   }
8152:   PetscCall(PetscDSAddBoundary(ds, type, name, label, Nv, values, field, Nc, comps, bcFunc, bcFunc_t, ctx, bd));
8153:   PetscFunctionReturn(PETSC_SUCCESS);
8154: }

8156: /* TODO Remove this since now the structures are the same */
8157: static PetscErrorCode DMPopulateBoundary(DM dm)
8158: {
8159:   PetscDS     ds;
8160:   DMBoundary *lastnext;
8161:   DSBoundary  dsbound;

8163:   PetscFunctionBegin;
8164:   PetscCall(DMGetDS(dm, &ds));
8165:   dsbound = ds->boundary;
8166:   if (dm->boundary) {
8167:     DMBoundary next = dm->boundary;

8169:     /* quick check to see if the PetscDS has changed */
8170:     if (next->dsboundary == dsbound) PetscFunctionReturn(PETSC_SUCCESS);
8171:     /* the PetscDS has changed: tear down and rebuild */
8172:     while (next) {
8173:       DMBoundary b = next;

8175:       next = b->next;
8176:       PetscCall(PetscFree(b));
8177:     }
8178:     dm->boundary = NULL;
8179:   }

8181:   lastnext = &dm->boundary;
8182:   while (dsbound) {
8183:     DMBoundary dmbound;

8185:     PetscCall(PetscNew(&dmbound));
8186:     dmbound->dsboundary = dsbound;
8187:     dmbound->label      = dsbound->label;
8188:     /* push on the back instead of the front so that it is in the same order as in the PetscDS */
8189:     *lastnext = dmbound;
8190:     lastnext  = &dmbound->next;
8191:     dsbound   = dsbound->next;
8192:   }
8193:   PetscFunctionReturn(PETSC_SUCCESS);
8194: }

8196: /* TODO: missing manual page */
8197: PetscErrorCode DMIsBoundaryPoint(DM dm, PetscInt point, PetscBool *isBd)
8198: {
8199:   DMBoundary b;

8201:   PetscFunctionBegin;
8203:   PetscAssertPointer(isBd, 3);
8204:   *isBd = PETSC_FALSE;
8205:   PetscCall(DMPopulateBoundary(dm));
8206:   b = dm->boundary;
8207:   while (b && !*isBd) {
8208:     DMLabel    label = b->label;
8209:     DSBoundary dsb   = b->dsboundary;
8210:     PetscInt   i;

8212:     if (label) {
8213:       for (i = 0; i < dsb->Nv && !*isBd; ++i) PetscCall(DMLabelStratumHasPoint(label, dsb->values[i], point, isBd));
8214:     }
8215:     b = b->next;
8216:   }
8217:   PetscFunctionReturn(PETSC_SUCCESS);
8218: }

8220: /*@
8221:   DMHasBound - Determine whether a bound condition was specified

8223:   Logically collective

8225:   Input Parameter:
8226: . dm - The `DM`, with a `PetscDS` that matches the problem being constrained

8228:   Output Parameter:
8229: . hasBound - Flag indicating if a bound condition was specified

8231:   Level: intermediate

8233: .seealso: [](ch_dmbase), `DM`, `DSAddBoundary()`, `PetscDSAddBoundary()`
8234: @*/
8235: PetscErrorCode DMHasBound(DM dm, PetscBool *hasBound)
8236: {
8237:   PetscDS  ds;
8238:   PetscInt Nf, numBd;

8240:   PetscFunctionBegin;
8241:   *hasBound = PETSC_FALSE;
8242:   PetscCall(DMGetDS(dm, &ds));
8243:   PetscCall(PetscDSGetNumFields(ds, &Nf));
8244:   for (PetscInt f = 0; f < Nf; ++f) {
8245:     PetscSimplePointFn *lfunc, *ufunc;

8247:     PetscCall(PetscDSGetLowerBound(ds, f, &lfunc, NULL));
8248:     PetscCall(PetscDSGetUpperBound(ds, f, &ufunc, NULL));
8249:     if (lfunc || ufunc) *hasBound = PETSC_TRUE;
8250:   }

8252:   PetscCall(PetscDSGetNumBoundary(ds, &numBd));
8253:   PetscCall(PetscDSUpdateBoundaryLabels(ds, dm));
8254:   for (PetscInt b = 0; b < numBd; ++b) {
8255:     PetscWeakForm           wf;
8256:     DMBoundaryConditionType type;
8257:     const char             *name;
8258:     DMLabel                 label;
8259:     PetscInt                numids;
8260:     const PetscInt         *ids;
8261:     PetscInt                field, Nc;
8262:     const PetscInt         *comps;
8263:     PetscVoidFn            *bvfunc;
8264:     void                   *ctx;

8266:     PetscCall(PetscDSGetBoundary(ds, b, &wf, &type, &name, &label, &numids, &ids, &field, &Nc, &comps, &bvfunc, NULL, &ctx));
8267:     if (type == DM_BC_LOWER_BOUND || type == DM_BC_UPPER_BOUND) *hasBound = PETSC_TRUE;
8268:   }
8269:   PetscFunctionReturn(PETSC_SUCCESS);
8270: }

8272: /*@C
8273:   DMProjectFunction - This projects the given function into the function space provided by a `DM`, putting the coefficients in a global vector.

8275:   Collective

8277:   Input Parameters:
8278: + dm    - The `DM`
8279: . time  - The time
8280: . funcs - The coordinate functions to evaluate, one per field
8281: . ctxs  - Optional array of contexts to pass to each coordinate function.  ctxs itself may be null.
8282: - mode  - The insertion mode for values

8284:   Output Parameter:
8285: . X - vector

8287:   Calling sequence of `funcs`:
8288: + dim  - The spatial dimension
8289: . time - The time at which to sample
8290: . x    - The coordinates
8291: . Nc   - The number of components
8292: . u    - The output field values
8293: - ctx  - optional function context

8295:   Level: developer

8297:   Developer Notes:
8298:   This API is specific to only particular usage of `DM`

8300:   The notes need to provide some information about what has to be provided to the `DM` to be able to perform the computation.

8302: .seealso: [](ch_dmbase), `DM`, `DMProjectFunctionLocal()`, `DMProjectFunctionLabel()`, `DMComputeL2Diff()`
8303: @*/
8304: PetscErrorCode DMProjectFunction(DM dm, PetscReal time, PetscErrorCode (**funcs)(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, PetscCtx ctx), void **ctxs, InsertMode mode, Vec X)
8305: {
8306:   Vec localX;

8308:   PetscFunctionBegin;
8310:   PetscCall(PetscLogEventBegin(DM_ProjectFunction, dm, X, 0, 0));
8311:   PetscCall(DMGetLocalVector(dm, &localX));
8312:   PetscCall(VecSet(localX, 0.));
8313:   PetscCall(DMProjectFunctionLocal(dm, time, funcs, ctxs, mode, localX));
8314:   PetscCall(DMLocalToGlobalBegin(dm, localX, mode, X));
8315:   PetscCall(DMLocalToGlobalEnd(dm, localX, mode, X));
8316:   PetscCall(DMRestoreLocalVector(dm, &localX));
8317:   PetscCall(PetscLogEventEnd(DM_ProjectFunction, dm, X, 0, 0));
8318:   PetscFunctionReturn(PETSC_SUCCESS);
8319: }

8321: /*@C
8322:   DMProjectFunctionLocal - This projects the given function into the function space provided by a `DM`, putting the coefficients in a local vector.

8324:   Not Collective

8326:   Input Parameters:
8327: + dm    - The `DM`
8328: . time  - The time
8329: . funcs - The coordinate functions to evaluate, one per field
8330: . ctxs  - Optional array of contexts to pass to each coordinate function.  ctxs itself may be null.
8331: - mode  - The insertion mode for values

8333:   Output Parameter:
8334: . localX - vector

8336:   Calling sequence of `funcs`:
8337: + dim  - The spatial dimension
8338: . time - The current timestep
8339: . x    - The coordinates
8340: . Nc   - The number of components
8341: . u    - The output field values
8342: - ctx  - optional function context

8344:   Level: developer

8346:   Developer Notes:
8347:   This API is specific to only particular usage of `DM`

8349:   The notes need to provide some information about what has to be provided to the `DM` to be able to perform the computation.

8351: .seealso: [](ch_dmbase), `DM`, `DMProjectFunction()`, `DMProjectFunctionLabel()`, `DMComputeL2Diff()`
8352: @*/
8353: PetscErrorCode DMProjectFunctionLocal(DM dm, PetscReal time, PetscErrorCode (**funcs)(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, PetscCtx ctx), void **ctxs, InsertMode mode, Vec localX)
8354: {
8355:   PetscFunctionBegin;
8358:   PetscUseTypeMethod(dm, projectfunctionlocal, time, funcs, ctxs, mode, localX);
8359:   PetscFunctionReturn(PETSC_SUCCESS);
8360: }

8362: /*@C
8363:   DMProjectFunctionLabel - This projects the given function into the function space provided by the `DM`, putting the coefficients in a global vector, setting values only for points in the given label.

8365:   Collective

8367:   Input Parameters:
8368: + dm     - The `DM`
8369: . time   - The time
8370: . numIds - The number of ids
8371: . ids    - The ids
8372: . Nc     - The number of components
8373: . comps  - The components
8374: . label  - The `DMLabel` selecting the portion of the mesh for projection
8375: . funcs  - The coordinate functions to evaluate, one per field
8376: . ctxs   - Optional array of contexts to pass to each coordinate function.  ctxs may be null.
8377: - mode   - The insertion mode for values

8379:   Output Parameter:
8380: . X - vector

8382:   Calling sequence of `funcs`:
8383: + dim  - The spatial dimension
8384: . time - The current timestep
8385: . x    - The coordinates
8386: . Nc   - The number of components
8387: . u    - The output field values
8388: - ctx  - optional function context

8390:   Level: developer

8392:   Developer Notes:
8393:   This API is specific to only particular usage of `DM`

8395:   The notes need to provide some information about what has to be provided to the `DM` to be able to perform the computation.

8397: .seealso: [](ch_dmbase), `DM`, `DMProjectFunction()`, `DMProjectFunctionLocal()`, `DMProjectFunctionLabelLocal()`, `DMComputeL2Diff()`
8398: @*/
8399: PetscErrorCode DMProjectFunctionLabel(DM dm, PetscReal time, DMLabel label, PetscInt numIds, const PetscInt ids[], PetscInt Nc, const PetscInt comps[], PetscErrorCode (**funcs)(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, PetscCtx ctx), void **ctxs, InsertMode mode, Vec X)
8400: {
8401:   Vec localX;

8403:   PetscFunctionBegin;
8405:   PetscCall(DMGetLocalVector(dm, &localX));
8406:   PetscCall(VecSet(localX, 0.));
8407:   PetscCall(DMProjectFunctionLabelLocal(dm, time, label, numIds, ids, Nc, comps, funcs, ctxs, mode, localX));
8408:   PetscCall(DMLocalToGlobalBegin(dm, localX, mode, X));
8409:   PetscCall(DMLocalToGlobalEnd(dm, localX, mode, X));
8410:   PetscCall(DMRestoreLocalVector(dm, &localX));
8411:   PetscFunctionReturn(PETSC_SUCCESS);
8412: }

8414: /*@C
8415:   DMProjectFunctionLabelLocal - This projects the given function into the function space provided by the `DM`, putting the coefficients in a local vector, setting values only for points in the given label.

8417:   Not Collective

8419:   Input Parameters:
8420: + dm     - The `DM`
8421: . time   - The time
8422: . label  - The `DMLabel` selecting the portion of the mesh for projection
8423: . numIds - The number of ids
8424: . ids    - The ids
8425: . Nc     - The number of components
8426: . comps  - The components
8427: . funcs  - The coordinate functions to evaluate, one per field
8428: . ctxs   - Optional array of contexts to pass to each coordinate function.  ctxs itself may be null.
8429: - mode   - The insertion mode for values

8431:   Output Parameter:
8432: . localX - vector

8434:   Calling sequence of `funcs`:
8435: + dim  - The spatial dimension
8436: . time - The current time
8437: . x    - The coordinates
8438: . Nc   - The number of components
8439: . u    - The output field values
8440: - ctx  - optional function context

8442:   Level: developer

8444:   Developer Notes:
8445:   This API is specific to only particular usage of `DM`

8447:   The notes need to provide some information about what has to be provided to the `DM` to be able to perform the computation.

8449: .seealso: [](ch_dmbase), `DM`, `DMProjectFunction()`, `DMProjectFunctionLocal()`, `DMProjectFunctionLabel()`, `DMComputeL2Diff()`
8450: @*/
8451: PetscErrorCode DMProjectFunctionLabelLocal(DM dm, PetscReal time, DMLabel label, PetscInt numIds, const PetscInt ids[], PetscInt Nc, const PetscInt comps[], PetscErrorCode (**funcs)(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, PetscCtx ctx), void **ctxs, InsertMode mode, Vec localX)
8452: {
8453:   PetscFunctionBegin;
8456:   PetscUseTypeMethod(dm, projectfunctionlabellocal, time, label, numIds, ids, Nc, comps, funcs, ctxs, mode, localX);
8457:   PetscFunctionReturn(PETSC_SUCCESS);
8458: }

8460: /*@C
8461:   DMProjectFieldLocal - This projects the given function of the input fields into the function space provided by the `DM`, putting the coefficients in a local vector.

8463:   Not Collective

8465:   Input Parameters:
8466: + dm     - The `DM`
8467: . time   - The time
8468: . localU - The input field vector; may be `NULL` if projection is defined purely by coordinates
8469: . funcs  - The functions to evaluate, one per field
8470: - mode   - The insertion mode for values

8472:   Output Parameter:
8473: . localX - The output vector

8475:   Calling sequence of `funcs`:
8476: + dim          - The spatial dimension
8477: . Nf           - The number of input fields
8478: . NfAux        - The number of input auxiliary fields
8479: . uOff         - The offset of each field in u[]
8480: . uOff_x       - The offset of each field in u_x[]
8481: . u            - The field values at this point in space
8482: . u_t          - The field time derivative at this point in space (or `NULL`)
8483: . u_x          - The field derivatives at this point in space
8484: . aOff         - The offset of each auxiliary field in u[]
8485: . aOff_x       - The offset of each auxiliary field in u_x[]
8486: . a            - The auxiliary field values at this point in space
8487: . a_t          - The auxiliary field time derivative at this point in space (or `NULL`)
8488: . a_x          - The auxiliary field derivatives at this point in space
8489: . t            - The current time
8490: . x            - The coordinates of this point
8491: . numConstants - The number of constants
8492: . constants    - The value of each constant
8493: - f            - The value of the function at this point in space

8495:   Level: intermediate

8497:   Note:
8498:   There are three different `DM`s that potentially interact in this function. The output `DM`, dm, specifies the layout of the values calculates by funcs.
8499:   The input `DM`, attached to U, may be different. For example, you can input the solution over the full domain, but output over a piece of the boundary, or
8500:   a subdomain. You can also output a different number of fields than the input, with different discretizations. Last the auxiliary `DM`, attached to the
8501:   auxiliary field vector, which is attached to dm, can also be different. It can have a different topology, number of fields, and discretizations.

8503:   Developer Notes:
8504:   This API is specific to only particular usage of `DM`

8506:   The notes need to provide some information about what has to be provided to the `DM` to be able to perform the computation.

8508: .seealso: [](ch_dmbase), `DM`, `DMProjectField()`, `DMProjectFieldLabelLocal()`,
8509: `DMProjectFunction()`, `DMComputeL2Diff()`
8510: @*/
8511: PetscErrorCode DMProjectFieldLocal(DM dm, PetscReal time, Vec localU, void (**funcs)(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f[]), InsertMode mode, Vec localX)
8512: {
8513:   PetscFunctionBegin;
8517:   PetscUseTypeMethod(dm, projectfieldlocal, time, localU, funcs, mode, localX);
8518:   PetscFunctionReturn(PETSC_SUCCESS);
8519: }

8521: /*@C
8522:   DMProjectFieldLabelLocal - This projects the given function of the input fields into the function space provided, putting the coefficients in a local vector, calculating only over the portion of the domain specified by the label.

8524:   Not Collective

8526:   Input Parameters:
8527: + dm     - The `DM`
8528: . time   - The time
8529: . label  - The `DMLabel` marking the portion of the domain to output
8530: . numIds - The number of label ids to use
8531: . ids    - The label ids to use for marking
8532: . Nc     - The number of components to set in the output, or `PETSC_DETERMINE` for all components
8533: . comps  - The components to set in the output, or `NULL` for all components
8534: . localU - The input field vector
8535: . funcs  - The functions to evaluate, one per field
8536: - mode   - The insertion mode for values

8538:   Output Parameter:
8539: . localX - The output vector

8541:   Calling sequence of `funcs`:
8542: + dim          - The spatial dimension
8543: . Nf           - The number of input fields
8544: . NfAux        - The number of input auxiliary fields
8545: . uOff         - The offset of each field in u[]
8546: . uOff_x       - The offset of each field in u_x[]
8547: . u            - The field values at this point in space
8548: . u_t          - The field time derivative at this point in space (or `NULL`)
8549: . u_x          - The field derivatives at this point in space
8550: . aOff         - The offset of each auxiliary field in u[]
8551: . aOff_x       - The offset of each auxiliary field in u_x[]
8552: . a            - The auxiliary field values at this point in space
8553: . a_t          - The auxiliary field time derivative at this point in space (or `NULL`)
8554: . a_x          - The auxiliary field derivatives at this point in space
8555: . t            - The current time
8556: . x            - The coordinates of this point
8557: . numConstants - The number of constants
8558: . constants    - The value of each constant
8559: - f            - The value of the function at this point in space

8561:   Level: intermediate

8563:   Note:
8564:   There are three different `DM`s that potentially interact in this function. The output `DM`, dm, specifies the layout of the values calculates by funcs.
8565:   The input `DM`, attached to localU, may be different. For example, you can input the solution over the full domain, but output over a piece of the boundary, or
8566:   a subdomain. You can also output a different number of fields than the input, with different discretizations. Last the auxiliary `DM`, attached to the
8567:   auxiliary field vector, which is attached to dm, can also be different. It can have a different topology, number of fields, and discretizations.

8569:   Developer Notes:
8570:   This API is specific to only particular usage of `DM`

8572:   The notes need to provide some information about what has to be provided to the `DM` to be able to perform the computation.

8574: .seealso: [](ch_dmbase), `DM`, `DMProjectField()`, `DMProjectFieldLabel()`, `DMProjectFunction()`, `DMComputeL2Diff()`
8575: @*/
8576: PetscErrorCode DMProjectFieldLabelLocal(DM dm, PetscReal time, DMLabel label, PetscInt numIds, const PetscInt ids[], PetscInt Nc, const PetscInt comps[], Vec localU, void (**funcs)(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f[]), InsertMode mode, Vec localX)
8577: {
8578:   PetscFunctionBegin;
8582:   PetscUseTypeMethod(dm, projectfieldlabellocal, time, label, numIds, ids, Nc, comps, localU, funcs, mode, localX);
8583:   PetscFunctionReturn(PETSC_SUCCESS);
8584: }

8586: /*@C
8587:   DMProjectFieldLabel - This projects the given function of the input fields into the function space provided, putting the coefficients in a global vector, calculating only over the portion of the domain specified by the label.

8589:   Not Collective

8591:   Input Parameters:
8592: + dm     - The `DM`
8593: . time   - The time
8594: . label  - The `DMLabel` marking the portion of the domain to output
8595: . numIds - The number of label ids to use
8596: . ids    - The label ids to use for marking
8597: . Nc     - The number of components to set in the output, or `PETSC_DETERMINE` for all components
8598: . comps  - The components to set in the output, or `NULL` for all components
8599: . U      - The input field vector
8600: . funcs  - The functions to evaluate, one per field
8601: - mode   - The insertion mode for values

8603:   Output Parameter:
8604: . X - The output vector

8606:   Calling sequence of `funcs`:
8607: + dim          - The spatial dimension
8608: . Nf           - The number of input fields
8609: . NfAux        - The number of input auxiliary fields
8610: . uOff         - The offset of each field in u[]
8611: . uOff_x       - The offset of each field in u_x[]
8612: . u            - The field values at this point in space
8613: . u_t          - The field time derivative at this point in space (or `NULL`)
8614: . u_x          - The field derivatives at this point in space
8615: . aOff         - The offset of each auxiliary field in u[]
8616: . aOff_x       - The offset of each auxiliary field in u_x[]
8617: . a            - The auxiliary field values at this point in space
8618: . a_t          - The auxiliary field time derivative at this point in space (or `NULL`)
8619: . a_x          - The auxiliary field derivatives at this point in space
8620: . t            - The current time
8621: . x            - The coordinates of this point
8622: . numConstants - The number of constants
8623: . constants    - The value of each constant
8624: - f            - The value of the function at this point in space

8626:   Level: intermediate

8628:   Note:
8629:   There are three different `DM`s that potentially interact in this function. The output `DM`, dm, specifies the layout of the values calculates by funcs.
8630:   The input `DM`, attached to U, may be different. For example, you can input the solution over the full domain, but output over a piece of the boundary, or
8631:   a subdomain. You can also output a different number of fields than the input, with different discretizations. Last the auxiliary `DM`, attached to the
8632:   auxiliary field vector, which is attached to dm, can also be different. It can have a different topology, number of fields, and discretizations.

8634:   Developer Notes:
8635:   This API is specific to only particular usage of `DM`

8637:   The notes need to provide some information about what has to be provided to the `DM` to be able to perform the computation.

8639: .seealso: [](ch_dmbase), `DM`, `DMProjectField()`, `DMProjectFieldLabelLocal()`, `DMProjectFunction()`, `DMComputeL2Diff()`
8640: @*/
8641: PetscErrorCode DMProjectFieldLabel(DM dm, PetscReal time, DMLabel label, PetscInt numIds, const PetscInt ids[], PetscInt Nc, const PetscInt comps[], Vec U, void (**funcs)(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f[]), InsertMode mode, Vec X)
8642: {
8643:   DM  dmIn;
8644:   Vec localU, localX;

8646:   PetscFunctionBegin;
8648:   PetscCall(VecGetDM(U, &dmIn));
8649:   PetscCall(DMGetLocalVector(dmIn, &localU));
8650:   PetscCall(DMGetLocalVector(dm, &localX));
8651:   PetscCall(VecSet(localX, 0.));
8652:   PetscCall(DMGlobalToLocalBegin(dmIn, U, mode, localU));
8653:   PetscCall(DMGlobalToLocalEnd(dmIn, U, mode, localU));
8654:   PetscCall(DMProjectFieldLabelLocal(dm, time, label, numIds, ids, Nc, comps, localU, funcs, mode, localX));
8655:   PetscCall(DMLocalToGlobalBegin(dm, localX, mode, X));
8656:   PetscCall(DMLocalToGlobalEnd(dm, localX, mode, X));
8657:   PetscCall(DMRestoreLocalVector(dm, &localX));
8658:   PetscCall(DMRestoreLocalVector(dmIn, &localU));
8659:   PetscFunctionReturn(PETSC_SUCCESS);
8660: }

8662: /*@C
8663:   DMProjectBdFieldLabelLocal - This projects the given function of the input fields into the function space provided, putting the coefficients in a local vector, calculating only over the portion of the domain boundary specified by the label.

8665:   Not Collective

8667:   Input Parameters:
8668: + dm     - The `DM`
8669: . time   - The time
8670: . label  - The `DMLabel` marking the portion of the domain boundary to output
8671: . numIds - The number of label ids to use
8672: . ids    - The label ids to use for marking
8673: . Nc     - The number of components to set in the output, or `PETSC_DETERMINE` for all components
8674: . comps  - The components to set in the output, or `NULL` for all components
8675: . localU - The input field vector
8676: . funcs  - The functions to evaluate, one per field
8677: - mode   - The insertion mode for values

8679:   Output Parameter:
8680: . localX - The output vector

8682:   Calling sequence of `funcs`:
8683: + dim          - The spatial dimension
8684: . Nf           - The number of input fields
8685: . NfAux        - The number of input auxiliary fields
8686: . uOff         - The offset of each field in u[]
8687: . uOff_x       - The offset of each field in u_x[]
8688: . u            - The field values at this point in space
8689: . u_t          - The field time derivative at this point in space (or `NULL`)
8690: . u_x          - The field derivatives at this point in space
8691: . aOff         - The offset of each auxiliary field in u[]
8692: . aOff_x       - The offset of each auxiliary field in u_x[]
8693: . a            - The auxiliary field values at this point in space
8694: . a_t          - The auxiliary field time derivative at this point in space (or `NULL`)
8695: . a_x          - The auxiliary field derivatives at this point in space
8696: . t            - The current time
8697: . x            - The coordinates of this point
8698: . n            - The face normal
8699: . numConstants - The number of constants
8700: . constants    - The value of each constant
8701: - f            - The value of the function at this point in space

8703:   Level: intermediate

8705:   Note:
8706:   There are three different `DM`s that potentially interact in this function. The output `DM`, dm, specifies the layout of the values calculates by funcs.
8707:   The input `DM`, attached to U, may be different. For example, you can input the solution over the full domain, but output over a piece of the boundary, or
8708:   a subdomain. You can also output a different number of fields than the input, with different discretizations. Last the auxiliary `DM`, attached to the
8709:   auxiliary field vector, which is attached to dm, can also be different. It can have a different topology, number of fields, and discretizations.

8711:   Developer Notes:
8712:   This API is specific to only particular usage of `DM`

8714:   The notes need to provide some information about what has to be provided to the `DM` to be able to perform the computation.

8716: .seealso: [](ch_dmbase), `DM`, `DMProjectField()`, `DMProjectFieldLabelLocal()`, `DMProjectFunction()`, `DMComputeL2Diff()`
8717: @*/
8718: PetscErrorCode DMProjectBdFieldLabelLocal(DM dm, PetscReal time, DMLabel label, PetscInt numIds, const PetscInt ids[], PetscInt Nc, const PetscInt comps[], Vec localU, void (**funcs)(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], const PetscReal n[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f[]), InsertMode mode, Vec localX)
8719: {
8720:   PetscFunctionBegin;
8724:   PetscUseTypeMethod(dm, projectbdfieldlabellocal, time, label, numIds, ids, Nc, comps, localU, funcs, mode, localX);
8725:   PetscFunctionReturn(PETSC_SUCCESS);
8726: }

8728: /*@C
8729:   DMComputeL2Diff - This function computes the L_2 difference between a function u and an FEM interpolant solution u_h.

8731:   Collective

8733:   Input Parameters:
8734: + dm    - The `DM`
8735: . time  - The time
8736: . funcs - The functions to evaluate for each field component
8737: . ctxs  - Optional array of contexts to pass to each function, or `NULL`.
8738: - X     - The coefficient vector u_h, a global vector

8740:   Output Parameter:
8741: . diff - The diff ||u - u_h||_2

8743:   Level: developer

8745:   Developer Notes:
8746:   This API is specific to only particular usage of `DM`

8748:   The notes need to provide some information about what has to be provided to the `DM` to be able to perform the computation.

8750: .seealso: [](ch_dmbase), `DM`, `DMProjectFunction()`, `DMComputeL2FieldDiff()`, `DMComputeL2GradientDiff()`
8751: @*/
8752: PetscErrorCode DMComputeL2Diff(DM dm, PetscReal time, PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **ctxs, Vec X, PetscReal *diff)
8753: {
8754:   PetscFunctionBegin;
8757:   PetscUseTypeMethod(dm, computel2diff, time, funcs, ctxs, X, diff);
8758:   PetscFunctionReturn(PETSC_SUCCESS);
8759: }

8761: /*@C
8762:   DMComputeL2GradientDiff - This function computes the L_2 difference between the gradient of a function u and an FEM interpolant solution grad u_h.

8764:   Collective

8766:   Input Parameters:
8767: + dm    - The `DM`
8768: . time  - The time
8769: . funcs - The gradient functions to evaluate for each field component
8770: . ctxs  - Optional array of contexts to pass to each function, or `NULL`.
8771: . X     - The coefficient vector u_h, a global vector
8772: - n     - The vector to project along

8774:   Output Parameter:
8775: . diff - The diff ||(grad u - grad u_h) . n||_2

8777:   Level: developer

8779:   Developer Notes:
8780:   This API is specific to only particular usage of `DM`

8782:   The notes need to provide some information about what has to be provided to the `DM` to be able to perform the computation.

8784: .seealso: [](ch_dmbase), `DM`, `DMProjectFunction()`, `DMComputeL2Diff()`, `DMComputeL2FieldDiff()`
8785: @*/
8786: PetscErrorCode DMComputeL2GradientDiff(DM dm, PetscReal time, PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal[], const PetscReal[], PetscInt, PetscScalar *, void *), void **ctxs, Vec X, const PetscReal n[], PetscReal *diff)
8787: {
8788:   PetscFunctionBegin;
8791:   PetscUseTypeMethod(dm, computel2gradientdiff, time, funcs, ctxs, X, n, diff);
8792:   PetscFunctionReturn(PETSC_SUCCESS);
8793: }

8795: /*@C
8796:   DMComputeL2FieldDiff - This function computes the L_2 difference between a function u and an FEM interpolant solution u_h, separated into field components.

8798:   Collective

8800:   Input Parameters:
8801: + dm    - The `DM`
8802: . time  - The time
8803: . funcs - The functions to evaluate for each field component
8804: . ctxs  - Optional array of contexts to pass to each function, or `NULL`.
8805: - X     - The coefficient vector u_h, a global vector

8807:   Output Parameter:
8808: . diff - The array of differences, ||u^f - u^f_h||_2

8810:   Level: developer

8812:   Developer Notes:
8813:   This API is specific to only particular usage of `DM`

8815:   The notes need to provide some information about what has to be provided to the `DM` to be able to perform the computation.

8817: .seealso: [](ch_dmbase), `DM`, `DMProjectFunction()`, `DMComputeL2GradientDiff()`
8818: @*/
8819: PetscErrorCode DMComputeL2FieldDiff(DM dm, PetscReal time, PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **ctxs, Vec X, PetscReal diff[])
8820: {
8821:   PetscFunctionBegin;
8824:   PetscUseTypeMethod(dm, computel2fielddiff, time, funcs, ctxs, X, diff);
8825:   PetscFunctionReturn(PETSC_SUCCESS);
8826: }

8828: /*@C
8829:   DMGetNeighbors - Gets an array containing the MPI ranks of all the processes neighbors

8831:   Not Collective

8833:   Input Parameter:
8834: . dm - The `DM`

8836:   Output Parameters:
8837: + nranks - the number of neighbours
8838: - ranks  - the neighbors ranks

8840:   Level: beginner

8842:   Note:
8843:   Do not free the array, it is freed when the `DM` is destroyed.

8845: .seealso: [](ch_dmbase), `DM`, `DMDAGetNeighbors()`, `PetscSFGetRootRanks()`
8846: @*/
8847: PetscErrorCode DMGetNeighbors(DM dm, PetscInt *nranks, const PetscMPIInt *ranks[])
8848: {
8849:   PetscFunctionBegin;
8851:   PetscUseTypeMethod(dm, getneighbors, nranks, ranks);
8852:   PetscFunctionReturn(PETSC_SUCCESS);
8853: }

8855: #include <petsc/private/matimpl.h>

8857: /*
8858:     Converts the input vector to a ghosted vector and then calls the standard coloring code.
8859:     This must be a different function because it requires DM which is not defined in the Mat library
8860: */
8861: static PetscErrorCode MatFDColoringApply_AIJDM(Mat J, MatFDColoring coloring, Vec x1, void *sctx)
8862: {
8863:   PetscFunctionBegin;
8864:   if (coloring->ctype == IS_COLORING_LOCAL) {
8865:     Vec x1local;
8866:     DM  dm;
8867:     PetscCall(MatGetDM(J, &dm));
8868:     PetscCheck(dm, PetscObjectComm((PetscObject)J), PETSC_ERR_ARG_INCOMP, "IS_COLORING_LOCAL requires a DM");
8869:     PetscCall(DMGetLocalVector(dm, &x1local));
8870:     PetscCall(DMGlobalToLocalBegin(dm, x1, INSERT_VALUES, x1local));
8871:     PetscCall(DMGlobalToLocalEnd(dm, x1, INSERT_VALUES, x1local));
8872:     x1 = x1local;
8873:   }
8874:   PetscCall(MatFDColoringApply_AIJ(J, coloring, x1, sctx));
8875:   if (coloring->ctype == IS_COLORING_LOCAL) {
8876:     DM dm;
8877:     PetscCall(MatGetDM(J, &dm));
8878:     PetscCall(DMRestoreLocalVector(dm, &x1));
8879:   }
8880:   PetscFunctionReturn(PETSC_SUCCESS);
8881: }

8883: /*@
8884:   MatFDColoringUseDM - allows a `MatFDColoring` object to use the `DM` associated with the matrix to compute a `IS_COLORING_LOCAL` coloring

8886:   Input Parameters:
8887: + coloring   - The matrix to get the `DM` from
8888: - fdcoloring - the `MatFDColoring` object

8890:   Level: advanced

8892:   Developer Note:
8893:   This routine exists because the PETSc `Mat` library does not know about the `DM` objects

8895: .seealso: [](ch_dmbase), `DM`, `MatFDColoring`, `MatFDColoringCreate()`, `ISColoringType`
8896: @*/
8897: PetscErrorCode MatFDColoringUseDM(Mat coloring, MatFDColoring fdcoloring)
8898: {
8899:   PetscFunctionBegin;
8900:   coloring->ops->fdcoloringapply = MatFDColoringApply_AIJDM;
8901:   PetscFunctionReturn(PETSC_SUCCESS);
8902: }

8904: /*@
8905:   DMGetCompatibility - determine if two `DM`s are compatible

8907:   Collective

8909:   Input Parameters:
8910: + dm1 - the first `DM`
8911: - dm2 - the second `DM`

8913:   Output Parameters:
8914: + compatible - whether or not the two `DM`s are compatible
8915: - set        - whether or not the compatible value was actually determined and set

8917:   Level: advanced

8919:   Notes:
8920:   Two `DM`s are deemed compatible if they represent the same parallel decomposition
8921:   of the same topology. This implies that the section (field data) on one
8922:   "makes sense" with respect to the topology and parallel decomposition of the other.
8923:   Loosely speaking, compatible `DM`s represent the same domain and parallel
8924:   decomposition, but hold different data.

8926:   Typically, one would confirm compatibility if intending to simultaneously iterate
8927:   over a pair of vectors obtained from different `DM`s.

8929:   For example, two `DMDA` objects are compatible if they have the same local
8930:   and global sizes and the same stencil width. They can have different numbers
8931:   of degrees of freedom per node. Thus, one could use the node numbering from
8932:   either `DM` in bounds for a loop over vectors derived from either `DM`.

8934:   Consider the operation of summing data living on a 2-dof `DMDA` to data living
8935:   on a 1-dof `DMDA`, which should be compatible, as in the following snippet.
8936: .vb
8937:   ...
8938:   PetscCall(DMGetCompatibility(da1,da2,&compatible,&set));
8939:   if (set && compatible)  {
8940:     PetscCall(DMDAVecGetArrayDOF(da1,vec1,&arr1));
8941:     PetscCall(DMDAVecGetArrayDOF(da2,vec2,&arr2));
8942:     PetscCall(DMDAGetCorners(da1,&x,&y,NULL,&m,&n,NULL));
8943:     for (j=y; j<y+n; ++j) {
8944:       for (i=x; i<x+m, ++i) {
8945:         arr1[j][i][0] = arr2[j][i][0] + arr2[j][i][1];
8946:       }
8947:     }
8948:     PetscCall(DMDAVecRestoreArrayDOF(da1,vec1,&arr1));
8949:     PetscCall(DMDAVecRestoreArrayDOF(da2,vec2,&arr2));
8950:   } else {
8951:     SETERRQ(PetscObjectComm((PetscObject)da1,PETSC_ERR_ARG_INCOMP,"DMDA objects incompatible");
8952:   }
8953:   ...
8954: .ve

8956:   Checking compatibility might be expensive for a given implementation of `DM`,
8957:   or might be impossible to unambiguously confirm or deny. For this reason,
8958:   this function may decline to determine compatibility, and hence users should
8959:   always check the "set" output parameter.

8961:   A `DM` is always compatible with itself.

8963:   In the current implementation, `DM`s which live on "unequal" communicators
8964:   (MPI_UNEQUAL in the terminology of MPI_Comm_compare()) are always deemed
8965:   incompatible.

8967:   This function is labeled "Collective," as information about all subdomains
8968:   is required on each rank. However, in `DM` implementations which store all this
8969:   information locally, this function may be merely "Logically Collective".

8971:   Developer Note:
8972:   Compatibility is assumed to be a symmetric concept; `DM` A is compatible with `DM` B
8973:   iff B is compatible with A. Thus, this function checks the implementations
8974:   of both dm and dmc (if they are of different types), attempting to determine
8975:   compatibility. It is left to `DM` implementers to ensure that symmetry is
8976:   preserved. The simplest way to do this is, when implementing type-specific
8977:   logic for this function, is to check for existing logic in the implementation
8978:   of other `DM` types and let *set = PETSC_FALSE if found.

8980: .seealso: [](ch_dmbase), `DM`, `DMDACreateCompatibleDMDA()`, `DMStagCreateCompatibleDMStag()`
8981: @*/
8982: PetscErrorCode DMGetCompatibility(DM dm1, DM dm2, PetscBool *compatible, PetscBool *set)
8983: {
8984:   PetscMPIInt compareResult;
8985:   DMType      type, type2;
8986:   PetscBool   sameType;

8988:   PetscFunctionBegin;

8992:   /* Declare a DM compatible with itself */
8993:   if (dm1 == dm2) {
8994:     *set        = PETSC_TRUE;
8995:     *compatible = PETSC_TRUE;
8996:     PetscFunctionReturn(PETSC_SUCCESS);
8997:   }

8999:   /* Declare a DM incompatible with a DM that lives on an "unequal"
9000:      communicator. Note that this does not preclude compatibility with
9001:      DMs living on "congruent" or "similar" communicators, but this must be
9002:      determined by the implementation-specific logic */
9003:   PetscCallMPI(MPI_Comm_compare(PetscObjectComm((PetscObject)dm1), PetscObjectComm((PetscObject)dm2), &compareResult));
9004:   if (compareResult == MPI_UNEQUAL) {
9005:     *set        = PETSC_TRUE;
9006:     *compatible = PETSC_FALSE;
9007:     PetscFunctionReturn(PETSC_SUCCESS);
9008:   }

9010:   /* Pass to the implementation-specific routine, if one exists. */
9011:   if (dm1->ops->getcompatibility) {
9012:     PetscUseTypeMethod(dm1, getcompatibility, dm2, compatible, set);
9013:     if (*set) PetscFunctionReturn(PETSC_SUCCESS);
9014:   }

9016:   /* If dm1 and dm2 are of different types, then attempt to check compatibility
9017:      with an implementation of this function from dm2 */
9018:   PetscCall(DMGetType(dm1, &type));
9019:   PetscCall(DMGetType(dm2, &type2));
9020:   PetscCall(PetscStrcmp(type, type2, &sameType));
9021:   if (!sameType && dm2->ops->getcompatibility) {
9022:     PetscUseTypeMethod(dm2, getcompatibility, dm1, compatible, set); /* Note argument order */
9023:   } else {
9024:     *set = PETSC_FALSE;
9025:   }
9026:   PetscFunctionReturn(PETSC_SUCCESS);
9027: }

9029: /*@C
9030:   DMMonitorSet - Sets an additional monitor function that is to be used after a solve to monitor discretization performance.

9032:   Logically Collective

9034:   Input Parameters:
9035: + dm             - the `DM`
9036: . f              - the monitor function
9037: . mctx           - [optional] context for private data for the monitor routine (use `NULL` if no context is desired)
9038: - monitordestroy - [optional] routine that frees monitor context (may be `NULL`), see `PetscCtxDestroyFn` for the calling sequence

9040:   Options Database Key:
9041: . -dm_monitor_cancel - cancels all monitors that have been hardwired into a code by calls to `DMMonitorSet()`, but
9042:                        does not cancel those set via the options database.

9044:   Level: intermediate

9046:   Note:
9047:   Several different monitoring routines may be set by calling
9048:   `DMMonitorSet()` multiple times or with `DMMonitorSetFromOptions()`; all will be called in the
9049:   order in which they were set.

9051:   Fortran Note:
9052:   Only a single monitor function can be set for each `DM` object

9054:   Developer Note:
9055:   This API has a generic name but seems specific to a very particular aspect of the use of `DM`

9057: .seealso: [](ch_dmbase), `DM`, `DMMonitorCancel()`, `DMMonitorSetFromOptions()`, `DMMonitor()`, `PetscCtxDestroyFn`
9058: @*/
9059: PetscErrorCode DMMonitorSet(DM dm, PetscErrorCode (*f)(DM, void *), void *mctx, PetscCtxDestroyFn *monitordestroy)
9060: {
9061:   PetscFunctionBegin;
9063:   for (PetscInt m = 0; m < dm->numbermonitors; ++m) {
9064:     PetscBool identical;

9066:     PetscCall(PetscMonitorCompare((PetscErrorCode (*)(void))(PetscVoidFn *)f, mctx, monitordestroy, (PetscErrorCode (*)(void))(PetscVoidFn *)dm->monitor[m], dm->monitorcontext[m], dm->monitordestroy[m], &identical));
9067:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
9068:   }
9069:   PetscCheck(dm->numbermonitors < MAXDMMONITORS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many monitors set");
9070:   dm->monitor[dm->numbermonitors]          = f;
9071:   dm->monitordestroy[dm->numbermonitors]   = monitordestroy;
9072:   dm->monitorcontext[dm->numbermonitors++] = mctx;
9073:   PetscFunctionReturn(PETSC_SUCCESS);
9074: }

9076: /*@
9077:   DMMonitorCancel - Clears all the monitor functions for a `DM` object.

9079:   Logically Collective

9081:   Input Parameter:
9082: . dm - the DM

9084:   Options Database Key:
9085: . -dm_monitor_cancel - cancels all monitors that have been hardwired
9086:   into a code by calls to `DMonitorSet()`, but does not cancel those
9087:   set via the options database

9089:   Level: intermediate

9091:   Note:
9092:   There is no way to clear one specific monitor from a `DM` object.

9094: .seealso: [](ch_dmbase), `DM`, `DMMonitorSet()`, `DMMonitorSetFromOptions()`, `DMMonitor()`
9095: @*/
9096: PetscErrorCode DMMonitorCancel(DM dm)
9097: {
9098:   PetscInt m;

9100:   PetscFunctionBegin;
9102:   for (m = 0; m < dm->numbermonitors; ++m) {
9103:     if (dm->monitordestroy[m]) PetscCall((*dm->monitordestroy[m])(&dm->monitorcontext[m]));
9104:   }
9105:   dm->numbermonitors = 0;
9106:   PetscFunctionReturn(PETSC_SUCCESS);
9107: }

9109: /*@C
9110:   DMMonitorSetFromOptions - Sets a monitor function and viewer appropriate for the type indicated by the user

9112:   Collective

9114:   Input Parameters:
9115: + dm           - `DM` object you wish to monitor
9116: . name         - the monitor type one is seeking
9117: . help         - message indicating what monitoring is done
9118: . manual       - manual page for the monitor
9119: . monitor      - the monitor function, this must use a `PetscViewerFormat` as its context
9120: - monitorsetup - a function that is called once ONLY if the user selected this monitor that may set additional features of the `DM` or `PetscViewer` objects

9122:   Output Parameter:
9123: . flg - Flag set if the monitor was created

9125:   Calling sequence of `monitor`:
9126: + dm  - the `DM` to be monitored
9127: - ctx - monitor context

9129:   Calling sequence of `monitorsetup`:
9130: + dm - the `DM` to be monitored
9131: - vf - the `PetscViewer` and format to be used by the monitor

9133:   Level: developer

9135: .seealso: [](ch_dmbase), `DM`, `PetscOptionsCreateViewer()`, `PetscOptionsGetReal()`, `PetscOptionsHasName()`, `PetscOptionsGetString()`,
9136:           `PetscOptionsGetIntArray()`, `PetscOptionsGetRealArray()`, `PetscOptionsBool()`,
9137:           `PetscOptionsInt()`, `PetscOptionsString()`, `PetscOptionsReal()`,
9138:           `PetscOptionsName()`, `PetscOptionsBegin()`, `PetscOptionsEnd()`, `PetscOptionsHeadBegin()`,
9139:           `PetscOptionsStringArray()`, `PetscOptionsRealArray()`, `PetscOptionsScalar()`,
9140:           `PetscOptionsBoolGroupBegin()`, `PetscOptionsBoolGroup()`, `PetscOptionsBoolGroupEnd()`,
9141:           `PetscOptionsFList()`, `PetscOptionsEList()`, `DMMonitor()`, `DMMonitorSet()`
9142: @*/
9143: PetscErrorCode DMMonitorSetFromOptions(DM dm, const char name[], const char help[], const char manual[], PetscErrorCode (*monitor)(DM dm, PetscCtx ctx), PetscErrorCode (*monitorsetup)(DM dm, PetscViewerAndFormat *vf), PetscBool *flg)
9144: {
9145:   PetscViewer       viewer;
9146:   PetscViewerFormat format;

9148:   PetscFunctionBegin;
9150:   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)dm), ((PetscObject)dm)->options, ((PetscObject)dm)->prefix, name, &viewer, &format, flg));
9151:   if (*flg) {
9152:     PetscViewerAndFormat *vf;

9154:     PetscCall(PetscViewerAndFormatCreate(viewer, format, &vf));
9155:     PetscCall(PetscViewerDestroy(&viewer));
9156:     if (monitorsetup) PetscCall((*monitorsetup)(dm, vf));
9157:     PetscCall(DMMonitorSet(dm, monitor, vf, (PetscCtxDestroyFn *)PetscViewerAndFormatDestroy));
9158:   }
9159:   PetscFunctionReturn(PETSC_SUCCESS);
9160: }

9162: /*@
9163:   DMMonitor - runs the user provided monitor routines, if they exist

9165:   Collective

9167:   Input Parameter:
9168: . dm - The `DM`

9170:   Level: developer

9172:   Developer Note:
9173:   Note should indicate when during the life of the `DM` the monitor is run. It appears to be
9174:   related to the discretization process seems rather specialized since some `DM` have no
9175:   concept of discretization.

9177: .seealso: [](ch_dmbase), `DM`, `DMMonitorSet()`, `DMMonitorSetFromOptions()`
9178: @*/
9179: PetscErrorCode DMMonitor(DM dm)
9180: {
9181:   PetscInt m;

9183:   PetscFunctionBegin;
9184:   if (!dm) PetscFunctionReturn(PETSC_SUCCESS);
9186:   for (m = 0; m < dm->numbermonitors; ++m) PetscCall((*dm->monitor[m])(dm, dm->monitorcontext[m]));
9187:   PetscFunctionReturn(PETSC_SUCCESS);
9188: }

9190: /*@
9191:   DMComputeError - Computes the error assuming the user has provided the exact solution functions

9193:   Collective

9195:   Input Parameters:
9196: + dm  - The `DM`
9197: - sol - The solution vector

9199:   Input/Output Parameter:
9200: . errors - An array of length Nf, the number of fields, or `NULL` for no output; on output
9201:            contains the error in each field

9203:   Output Parameter:
9204: . errorVec - A vector to hold the cellwise error (may be `NULL`)

9206:   Level: developer

9208:   Note:
9209:   The exact solutions come from the `PetscDS` object, and the time comes from `DMGetOutputSequenceNumber()`.

9211: .seealso: [](ch_dmbase), `DM`, `DMMonitorSet()`, `DMGetRegionNumDS()`, `PetscDSGetExactSolution()`, `DMGetOutputSequenceNumber()`
9212: @*/
9213: PetscErrorCode DMComputeError(DM dm, Vec sol, PetscReal errors[], Vec *errorVec)
9214: {
9215:   PetscErrorCode (**exactSol)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar[], void *);
9216:   void    **ctxs;
9217:   PetscReal time;
9218:   PetscInt  Nf, f, Nds, s;

9220:   PetscFunctionBegin;
9221:   PetscCall(DMGetNumFields(dm, &Nf));
9222:   PetscCall(PetscCalloc2(Nf, &exactSol, Nf, &ctxs));
9223:   PetscCall(DMGetNumDS(dm, &Nds));
9224:   for (s = 0; s < Nds; ++s) {
9225:     PetscDS         ds;
9226:     DMLabel         label;
9227:     IS              fieldIS;
9228:     const PetscInt *fields;
9229:     PetscInt        dsNf;

9231:     PetscCall(DMGetRegionNumDS(dm, s, &label, &fieldIS, &ds, NULL));
9232:     PetscCall(PetscDSGetNumFields(ds, &dsNf));
9233:     if (fieldIS) PetscCall(ISGetIndices(fieldIS, &fields));
9234:     for (f = 0; f < dsNf; ++f) {
9235:       const PetscInt field = fields[f];
9236:       PetscCall(PetscDSGetExactSolution(ds, field, &exactSol[field], &ctxs[field]));
9237:     }
9238:     if (fieldIS) PetscCall(ISRestoreIndices(fieldIS, &fields));
9239:   }
9240:   for (f = 0; f < Nf; ++f) PetscCheck(exactSol[f], PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "DS must contain exact solution functions in order to calculate error, missing for field %" PetscInt_FMT, f);
9241:   PetscCall(DMGetOutputSequenceNumber(dm, NULL, &time));
9242:   if (errors) PetscCall(DMComputeL2FieldDiff(dm, time, exactSol, ctxs, sol, errors));
9243:   if (errorVec) {
9244:     DM             edm;
9245:     DMPolytopeType ct;
9246:     PetscBool      simplex;
9247:     PetscInt       dim, cStart, Nf;

9249:     PetscCall(DMClone(dm, &edm));
9250:     PetscCall(DMGetDimension(edm, &dim));
9251:     PetscCall(DMPlexGetHeightStratum(dm, 0, &cStart, NULL));
9252:     PetscCall(DMPlexGetCellType(dm, cStart, &ct));
9253:     simplex = DMPolytopeTypeGetNumVertices(ct) == DMPolytopeTypeGetDim(ct) + 1 ? PETSC_TRUE : PETSC_FALSE;
9254:     PetscCall(DMGetNumFields(dm, &Nf));
9255:     for (f = 0; f < Nf; ++f) {
9256:       PetscFE         fe, efe;
9257:       PetscQuadrature q;
9258:       const char     *name;

9260:       PetscCall(DMGetField(dm, f, NULL, (PetscObject *)&fe));
9261:       PetscCall(PetscFECreateLagrange(PETSC_COMM_SELF, dim, Nf, simplex, 0, PETSC_DETERMINE, &efe));
9262:       PetscCall(PetscObjectGetName((PetscObject)fe, &name));
9263:       PetscCall(PetscObjectSetName((PetscObject)efe, name));
9264:       PetscCall(PetscFEGetQuadrature(fe, &q));
9265:       PetscCall(PetscFESetQuadrature(efe, q));
9266:       PetscCall(DMSetField(edm, f, NULL, (PetscObject)efe));
9267:       PetscCall(PetscFEDestroy(&efe));
9268:     }
9269:     PetscCall(DMCreateDS(edm));

9271:     PetscCall(DMCreateGlobalVector(edm, errorVec));
9272:     PetscCall(PetscObjectSetName((PetscObject)*errorVec, "Error"));
9273:     PetscCall(DMPlexComputeL2DiffVec(dm, time, exactSol, ctxs, sol, *errorVec));
9274:     PetscCall(DMDestroy(&edm));
9275:   }
9276:   PetscCall(PetscFree2(exactSol, ctxs));
9277:   PetscFunctionReturn(PETSC_SUCCESS);
9278: }

9280: /*@
9281:   DMGetNumAuxiliaryVec - Get the number of auxiliary vectors associated with this `DM`

9283:   Not Collective

9285:   Input Parameter:
9286: . dm - The `DM`

9288:   Output Parameter:
9289: . numAux - The number of auxiliary data vectors

9291:   Level: advanced

9293: .seealso: [](ch_dmbase), `DM`, `DMClearAuxiliaryVec()`, `DMSetAuxiliaryVec()`, `DMGetAuxiliaryLabels()`, `DMGetAuxiliaryVec()`
9294: @*/
9295: PetscErrorCode DMGetNumAuxiliaryVec(DM dm, PetscInt *numAux)
9296: {
9297:   PetscFunctionBegin;
9299:   PetscCall(PetscHMapAuxGetSize(dm->auxData, numAux));
9300:   PetscFunctionReturn(PETSC_SUCCESS);
9301: }

9303: /*@
9304:   DMGetAuxiliaryVec - Get the auxiliary vector for region specified by the given label and value, and equation part

9306:   Not Collective

9308:   Input Parameters:
9309: + dm    - The `DM`
9310: . label - The `DMLabel`
9311: . value - The label value indicating the region
9312: - part  - The equation part, or 0 if unused

9314:   Output Parameter:
9315: . aux - The `Vec` holding auxiliary field data

9317:   Level: advanced

9319:   Note:
9320:   If no auxiliary vector is found for this (label, value), (`NULL`, 0, 0) is checked as well.

9322: .seealso: [](ch_dmbase), `DM`, `DMClearAuxiliaryVec()`, `DMSetAuxiliaryVec()`, `DMGetNumAuxiliaryVec()`, `DMGetAuxiliaryLabels()`
9323: @*/
9324: PetscErrorCode DMGetAuxiliaryVec(DM dm, DMLabel label, PetscInt value, PetscInt part, Vec *aux)
9325: {
9326:   PetscHashAuxKey key, wild = {NULL, 0, 0};
9327:   PetscBool       has;

9329:   PetscFunctionBegin;
9332:   key.label = label;
9333:   key.value = value;
9334:   key.part  = part;
9335:   PetscCall(PetscHMapAuxHas(dm->auxData, key, &has));
9336:   if (has) PetscCall(PetscHMapAuxGet(dm->auxData, key, aux));
9337:   else PetscCall(PetscHMapAuxGet(dm->auxData, wild, aux));
9338:   PetscFunctionReturn(PETSC_SUCCESS);
9339: }

9341: /*@
9342:   DMSetAuxiliaryVec - Set an auxiliary vector for region specified by the given label and value, and equation part

9344:   Not Collective because auxiliary vectors are not parallel

9346:   Input Parameters:
9347: + dm    - The `DM`
9348: . label - The `DMLabel`
9349: . value - The label value indicating the region
9350: . part  - The equation part, or 0 if unused
9351: - aux   - The `Vec` holding auxiliary field data

9353:   Level: advanced

9355: .seealso: [](ch_dmbase), `DM`, `DMClearAuxiliaryVec()`, `DMGetAuxiliaryVec()`, `DMGetAuxiliaryLabels()`, `DMCopyAuxiliaryVec()`
9356: @*/
9357: PetscErrorCode DMSetAuxiliaryVec(DM dm, DMLabel label, PetscInt value, PetscInt part, Vec aux)
9358: {
9359:   Vec             old;
9360:   PetscHashAuxKey key;

9362:   PetscFunctionBegin;
9365:   key.label = label;
9366:   key.value = value;
9367:   key.part  = part;
9368:   PetscCall(PetscHMapAuxGet(dm->auxData, key, &old));
9369:   PetscCall(PetscObjectReference((PetscObject)aux));
9370:   if (!aux) PetscCall(PetscHMapAuxDel(dm->auxData, key));
9371:   else PetscCall(PetscHMapAuxSet(dm->auxData, key, aux));
9372:   PetscCall(VecDestroy(&old));
9373:   PetscFunctionReturn(PETSC_SUCCESS);
9374: }

9376: /*@
9377:   DMGetAuxiliaryLabels - Get the labels, values, and parts for all auxiliary vectors in this `DM`

9379:   Not Collective

9381:   Input Parameter:
9382: . dm - The `DM`

9384:   Output Parameters:
9385: + labels - The `DMLabel`s for each `Vec`
9386: . values - The label values for each `Vec`
9387: - parts  - The equation parts for each `Vec`

9389:   Level: advanced

9391:   Note:
9392:   The arrays passed in must be at least as large as `DMGetNumAuxiliaryVec()`.

9394: .seealso: [](ch_dmbase), `DM`, `DMClearAuxiliaryVec()`, `DMGetNumAuxiliaryVec()`, `DMGetAuxiliaryVec()`, `DMSetAuxiliaryVec()`, `DMCopyAuxiliaryVec()`
9395: @*/
9396: PetscErrorCode DMGetAuxiliaryLabels(DM dm, DMLabel labels[], PetscInt values[], PetscInt parts[])
9397: {
9398:   PetscHashAuxKey *keys;
9399:   PetscInt         n, i, off = 0;

9401:   PetscFunctionBegin;
9403:   PetscAssertPointer(labels, 2);
9404:   PetscAssertPointer(values, 3);
9405:   PetscAssertPointer(parts, 4);
9406:   PetscCall(DMGetNumAuxiliaryVec(dm, &n));
9407:   PetscCall(PetscMalloc1(n, &keys));
9408:   PetscCall(PetscHMapAuxGetKeys(dm->auxData, &off, keys));
9409:   for (i = 0; i < n; ++i) {
9410:     labels[i] = keys[i].label;
9411:     values[i] = keys[i].value;
9412:     parts[i]  = keys[i].part;
9413:   }
9414:   PetscCall(PetscFree(keys));
9415:   PetscFunctionReturn(PETSC_SUCCESS);
9416: }

9418: /*@
9419:   DMCopyAuxiliaryVec - Copy the auxiliary vector data on a `DM` to a new `DM`

9421:   Not Collective

9423:   Input Parameter:
9424: . dm - The `DM`

9426:   Output Parameter:
9427: . dmNew - The new `DM`, now with the same auxiliary data

9429:   Level: advanced

9431:   Note:
9432:   This is a shallow copy of the auxiliary vectors

9434: .seealso: [](ch_dmbase), `DM`, `DMClearAuxiliaryVec()`, `DMGetNumAuxiliaryVec()`, `DMGetAuxiliaryVec()`, `DMSetAuxiliaryVec()`
9435: @*/
9436: PetscErrorCode DMCopyAuxiliaryVec(DM dm, DM dmNew)
9437: {
9438:   PetscFunctionBegin;
9441:   if (dm == dmNew) PetscFunctionReturn(PETSC_SUCCESS);
9442:   PetscCall(DMClearAuxiliaryVec(dmNew));

9444:   PetscCall(PetscHMapAuxDestroy(&dmNew->auxData));
9445:   PetscCall(PetscHMapAuxDuplicate(dm->auxData, &dmNew->auxData));
9446:   {
9447:     Vec     *auxData;
9448:     PetscInt n, i, off = 0;

9450:     PetscCall(PetscHMapAuxGetSize(dmNew->auxData, &n));
9451:     PetscCall(PetscMalloc1(n, &auxData));
9452:     PetscCall(PetscHMapAuxGetVals(dmNew->auxData, &off, auxData));
9453:     for (i = 0; i < n; ++i) PetscCall(PetscObjectReference((PetscObject)auxData[i]));
9454:     PetscCall(PetscFree(auxData));
9455:   }
9456:   PetscFunctionReturn(PETSC_SUCCESS);
9457: }

9459: /*@
9460:   DMClearAuxiliaryVec - Destroys the auxiliary vector information and creates a new empty one

9462:   Not Collective

9464:   Input Parameter:
9465: . dm - The `DM`

9467:   Level: advanced

9469: .seealso: [](ch_dmbase), `DM`, `DMCopyAuxiliaryVec()`, `DMGetNumAuxiliaryVec()`, `DMGetAuxiliaryVec()`, `DMSetAuxiliaryVec()`
9470: @*/
9471: PetscErrorCode DMClearAuxiliaryVec(DM dm)
9472: {
9473:   Vec     *auxData;
9474:   PetscInt n, i, off = 0;

9476:   PetscFunctionBegin;
9477:   PetscCall(PetscHMapAuxGetSize(dm->auxData, &n));
9478:   PetscCall(PetscMalloc1(n, &auxData));
9479:   PetscCall(PetscHMapAuxGetVals(dm->auxData, &off, auxData));
9480:   for (i = 0; i < n; ++i) PetscCall(VecDestroy(&auxData[i]));
9481:   PetscCall(PetscFree(auxData));
9482:   PetscCall(PetscHMapAuxDestroy(&dm->auxData));
9483:   PetscCall(PetscHMapAuxCreate(&dm->auxData));
9484:   PetscFunctionReturn(PETSC_SUCCESS);
9485: }

9487: /*@
9488:   DMPolytopeMatchOrientation - Determine an orientation (transformation) that takes the source face arrangement to the target face arrangement

9490:   Not Collective

9492:   Input Parameters:
9493: + ct         - The `DMPolytopeType`
9494: . sourceCone - The source arrangement of faces
9495: - targetCone - The target arrangement of faces

9497:   Output Parameters:
9498: + ornt  - The orientation (transformation) which will take the source arrangement to the target arrangement
9499: - found - Flag indicating that a suitable orientation was found

9501:   Level: advanced

9503:   Note:
9504:   An arrangement is a face order combined with an orientation for each face

9506:   Each orientation (transformation) is labeled with an integer from negative `DMPolytopeTypeGetNumArrangements(ct)`/2 to `DMPolytopeTypeGetNumArrangements(ct)`/2
9507:   that labels each arrangement (face ordering plus orientation for each face).

9509:   See `DMPolytopeMatchVertexOrientation()` to find a new vertex orientation that takes the source vertex arrangement to the target vertex arrangement

9511: .seealso: [](ch_dmbase), `DM`, `DMPolytopeGetOrientation()`, `DMPolytopeMatchVertexOrientation()`, `DMPolytopeGetVertexOrientation()`
9512: @*/
9513: PetscErrorCode DMPolytopeMatchOrientation(DMPolytopeType ct, const PetscInt sourceCone[], const PetscInt targetCone[], PetscInt *ornt, PetscBool *found)
9514: {
9515:   const PetscInt cS = DMPolytopeTypeGetConeSize(ct);
9516:   const PetscInt nO = DMPolytopeTypeGetNumArrangements(ct) / 2;
9517:   PetscInt       o, c;

9519:   PetscFunctionBegin;
9520:   if (!nO) {
9521:     *ornt  = 0;
9522:     *found = PETSC_TRUE;
9523:     PetscFunctionReturn(PETSC_SUCCESS);
9524:   }
9525:   for (o = -nO; o < nO; ++o) {
9526:     const PetscInt *arr = DMPolytopeTypeGetArrangement(ct, o);

9528:     for (c = 0; c < cS; ++c)
9529:       if (sourceCone[arr[c * 2]] != targetCone[c]) break;
9530:     if (c == cS) {
9531:       *ornt = o;
9532:       break;
9533:     }
9534:   }
9535:   *found = o == nO ? PETSC_FALSE : PETSC_TRUE;
9536:   PetscFunctionReturn(PETSC_SUCCESS);
9537: }

9539: /*@
9540:   DMPolytopeGetOrientation - Determine an orientation (transformation) that takes the source face arrangement to the target face arrangement

9542:   Not Collective

9544:   Input Parameters:
9545: + ct         - The `DMPolytopeType`
9546: . sourceCone - The source arrangement of faces
9547: - targetCone - The target arrangement of faces

9549:   Output Parameter:
9550: . ornt - The orientation (transformation) which will take the source arrangement to the target arrangement

9552:   Level: advanced

9554:   Note:
9555:   This function is the same as `DMPolytopeMatchOrientation()` except it will generate an error if no suitable orientation can be found.

9557:   Developer Note:
9558:   It is unclear why this function needs to exist since one can simply call `DMPolytopeMatchOrientation()` and error if none is found

9560: .seealso: [](ch_dmbase), `DM`, `DMPolytopeType`, `DMPolytopeMatchOrientation()`, `DMPolytopeGetVertexOrientation()`, `DMPolytopeMatchVertexOrientation()`
9561: @*/
9562: PetscErrorCode DMPolytopeGetOrientation(DMPolytopeType ct, const PetscInt sourceCone[], const PetscInt targetCone[], PetscInt *ornt)
9563: {
9564:   PetscBool found;

9566:   PetscFunctionBegin;
9567:   PetscCall(DMPolytopeMatchOrientation(ct, sourceCone, targetCone, ornt, &found));
9568:   PetscCheck(found, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Could not find orientation for %s", DMPolytopeTypes[ct]);
9569:   PetscFunctionReturn(PETSC_SUCCESS);
9570: }

9572: /*@
9573:   DMPolytopeMatchVertexOrientation - Determine an orientation (transformation) that takes the source vertex arrangement to the target vertex arrangement

9575:   Not Collective

9577:   Input Parameters:
9578: + ct         - The `DMPolytopeType`
9579: . sourceVert - The source arrangement of vertices
9580: - targetVert - The target arrangement of vertices

9582:   Output Parameters:
9583: + ornt  - The orientation (transformation) which will take the source arrangement to the target arrangement
9584: - found - Flag indicating that a suitable orientation was found

9586:   Level: advanced

9588:   Notes:
9589:   An arrangement is a vertex order

9591:   Each orientation (transformation) is labeled with an integer from negative `DMPolytopeTypeGetNumArrangements(ct)`/2 to `DMPolytopeTypeGetNumArrangements(ct)`/2
9592:   that labels each arrangement (vertex ordering).

9594:   See `DMPolytopeMatchOrientation()` to find a new face orientation that takes the source face arrangement to the target face arrangement

9596: .seealso: [](ch_dmbase), `DM`, `DMPolytopeType`, `DMPolytopeGetOrientation()`, `DMPolytopeMatchOrientation()`, `DMPolytopeTypeGetNumVertices()`, `DMPolytopeTypeGetVertexArrangement()`
9597: @*/
9598: PetscErrorCode DMPolytopeMatchVertexOrientation(DMPolytopeType ct, const PetscInt sourceVert[], const PetscInt targetVert[], PetscInt *ornt, PetscBool *found)
9599: {
9600:   const PetscInt cS = DMPolytopeTypeGetNumVertices(ct);
9601:   const PetscInt nO = DMPolytopeTypeGetNumArrangements(ct) / 2;
9602:   PetscInt       o, c;

9604:   PetscFunctionBegin;
9605:   if (!nO) {
9606:     *ornt  = 0;
9607:     *found = PETSC_TRUE;
9608:     PetscFunctionReturn(PETSC_SUCCESS);
9609:   }
9610:   for (o = -nO; o < nO; ++o) {
9611:     const PetscInt *arr = DMPolytopeTypeGetVertexArrangement(ct, o);

9613:     for (c = 0; c < cS; ++c)
9614:       if (sourceVert[arr[c]] != targetVert[c]) break;
9615:     if (c == cS) {
9616:       *ornt = o;
9617:       break;
9618:     }
9619:   }
9620:   *found = o == nO ? PETSC_FALSE : PETSC_TRUE;
9621:   PetscFunctionReturn(PETSC_SUCCESS);
9622: }

9624: /*@
9625:   DMPolytopeGetVertexOrientation - Determine an orientation (transformation) that takes the source vertex arrangement to the target vertex arrangement

9627:   Not Collective

9629:   Input Parameters:
9630: + ct         - The `DMPolytopeType`
9631: . sourceCone - The source arrangement of vertices
9632: - targetCone - The target arrangement of vertices

9634:   Output Parameter:
9635: . ornt - The orientation (transformation) which will take the source arrangement to the target arrangement

9637:   Level: advanced

9639:   Note:
9640:   This function is the same as `DMPolytopeMatchVertexOrientation()` except it errors if not orientation is possible.

9642:   Developer Note:
9643:   It is unclear why this function needs to exist since one can simply call `DMPolytopeMatchVertexOrientation()` and error if none is found

9645: .seealso: [](ch_dmbase), `DM`, `DMPolytopeType`, `DMPolytopeMatchVertexOrientation()`, `DMPolytopeGetOrientation()`
9646: @*/
9647: PetscErrorCode DMPolytopeGetVertexOrientation(DMPolytopeType ct, const PetscInt sourceCone[], const PetscInt targetCone[], PetscInt *ornt)
9648: {
9649:   PetscBool found;

9651:   PetscFunctionBegin;
9652:   PetscCall(DMPolytopeMatchVertexOrientation(ct, sourceCone, targetCone, ornt, &found));
9653:   PetscCheck(found, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Could not find orientation for %s", DMPolytopeTypes[ct]);
9654:   PetscFunctionReturn(PETSC_SUCCESS);
9655: }

9657: /*@
9658:   DMPolytopeInCellTest - Check whether a point lies inside the reference cell of given type

9660:   Not Collective

9662:   Input Parameters:
9663: + ct    - The `DMPolytopeType`
9664: - point - Coordinates of the point

9666:   Output Parameter:
9667: . inside - Flag indicating whether the point is inside the reference cell of given type

9669:   Level: advanced

9671: .seealso: [](ch_dmbase), `DM`, `DMPolytopeType`, `DMLocatePoints()`
9672: @*/
9673: PetscErrorCode DMPolytopeInCellTest(DMPolytopeType ct, const PetscReal point[], PetscBool *inside)
9674: {
9675:   PetscReal sum = 0.0;
9676:   PetscInt  d;

9678:   PetscFunctionBegin;
9679:   *inside = PETSC_TRUE;
9680:   switch (ct) {
9681:   case DM_POLYTOPE_TRIANGLE:
9682:   case DM_POLYTOPE_TETRAHEDRON:
9683:     for (d = 0; d < DMPolytopeTypeGetDim(ct); ++d) {
9684:       if (point[d] < -1.0) {
9685:         *inside = PETSC_FALSE;
9686:         break;
9687:       }
9688:       sum += point[d];
9689:     }
9690:     if (sum > PETSC_SMALL) {
9691:       *inside = PETSC_FALSE;
9692:       break;
9693:     }
9694:     break;
9695:   case DM_POLYTOPE_QUADRILATERAL:
9696:   case DM_POLYTOPE_HEXAHEDRON:
9697:     for (d = 0; d < DMPolytopeTypeGetDim(ct); ++d)
9698:       if (PetscAbsReal(point[d]) > 1. + PETSC_SMALL) {
9699:         *inside = PETSC_FALSE;
9700:         break;
9701:       }
9702:     break;
9703:   default:
9704:     SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unsupported polytope type %s", DMPolytopeTypes[ct]);
9705:   }
9706:   PetscFunctionReturn(PETSC_SUCCESS);
9707: }

9709: /*@
9710:   DMReorderSectionSetDefault - Set flag indicating whether the local section should be reordered by default

9712:   Logically collective

9714:   Input Parameters:
9715: + dm      - The DM
9716: - reorder - Flag for reordering

9718:   Level: intermediate

9720: .seealso: `DMReorderSectionGetDefault()`
9721: @*/
9722: PetscErrorCode DMReorderSectionSetDefault(DM dm, DMReorderDefaultFlag reorder)
9723: {
9724:   PetscFunctionBegin;
9726:   PetscTryMethod(dm, "DMReorderSectionSetDefault_C", (DM, DMReorderDefaultFlag), (dm, reorder));
9727:   PetscFunctionReturn(PETSC_SUCCESS);
9728: }

9730: /*@
9731:   DMReorderSectionGetDefault - Get flag indicating whether the local section should be reordered by default

9733:   Not collective

9735:   Input Parameter:
9736: . dm - The DM

9738:   Output Parameter:
9739: . reorder - Flag for reordering

9741:   Level: intermediate

9743: .seealso: `DMReorderSetDefault()`
9744: @*/
9745: PetscErrorCode DMReorderSectionGetDefault(DM dm, DMReorderDefaultFlag *reorder)
9746: {
9747:   PetscFunctionBegin;
9749:   PetscAssertPointer(reorder, 2);
9750:   *reorder = DM_REORDER_DEFAULT_NOTSET;
9751:   PetscTryMethod(dm, "DMReorderSectionGetDefault_C", (DM, DMReorderDefaultFlag *), (dm, reorder));
9752:   PetscFunctionReturn(PETSC_SUCCESS);
9753: }

9755: /*@
9756:   DMReorderSectionSetType - Set the type of local section reordering

9758:   Logically collective

9760:   Input Parameters:
9761: + dm      - The DM
9762: - reorder - The reordering method

9764:   Level: intermediate

9766: .seealso: `DMReorderSectionGetType()`, `DMReorderSectionSetDefault()`
9767: @*/
9768: PetscErrorCode DMReorderSectionSetType(DM dm, MatOrderingType reorder)
9769: {
9770:   PetscFunctionBegin;
9772:   PetscTryMethod(dm, "DMReorderSectionSetType_C", (DM, MatOrderingType), (dm, reorder));
9773:   PetscFunctionReturn(PETSC_SUCCESS);
9774: }

9776: /*@
9777:   DMReorderSectionGetType - Get the reordering type for the local section

9779:   Not collective

9781:   Input Parameter:
9782: . dm - The DM

9784:   Output Parameter:
9785: . reorder - The reordering method

9787:   Level: intermediate

9789: .seealso: `DMReorderSetDefault()`, `DMReorderSectionGetDefault()`
9790: @*/
9791: PetscErrorCode DMReorderSectionGetType(DM dm, MatOrderingType *reorder)
9792: {
9793:   PetscFunctionBegin;
9795:   PetscAssertPointer(reorder, 2);
9796:   *reorder = NULL;
9797:   PetscTryMethod(dm, "DMReorderSectionGetType_C", (DM, MatOrderingType *), (dm, reorder));
9798:   PetscFunctionReturn(PETSC_SUCCESS);
9799: }