Actual source code: dmfieldds.c

  1: #include <petsc/private/dmfieldimpl.h>
  2: #include <petsc/private/petscfeimpl.h>
  3: #include <petscfe.h>
  4: #include <petscdmplex.h>
  5: #include <petscds.h>

  7: typedef struct _n_DMField_DS {
  8:   PetscBool    multifieldVec;
  9:   PetscInt     height;   /* Point height at which we want values and number of discretizations */
 10:   PetscInt     fieldNum; /* Number in DS of field which we evaluate */
 11:   PetscObject *disc;     /* Discretizations of this field at each height */
 12:   Vec          vec;      /* Field values */
 13:   DM           dmDG;     /* DM for the DG values */
 14:   PetscObject *discDG;   /* DG Discretizations of this field at each height */
 15:   Vec          vecDG;    /* DG Field values */
 16: } DMField_DS;

 18: static PetscErrorCode DMFieldDestroy_DS(DMField field)
 19: {
 20:   DMField_DS *dsfield = (DMField_DS *)field->data;
 21:   PetscInt    i;

 23:   PetscFunctionBegin;
 24:   PetscCall(VecDestroy(&dsfield->vec));
 25:   for (i = 0; i < dsfield->height; i++) PetscCall(PetscObjectDereference(dsfield->disc[i]));
 26:   PetscCall(PetscFree(dsfield->disc));
 27:   PetscCall(VecDestroy(&dsfield->vecDG));
 28:   if (dsfield->discDG)
 29:     for (i = 0; i < dsfield->height; i++) PetscCall(PetscObjectDereference(dsfield->discDG[i]));
 30:   PetscCall(PetscFree(dsfield->discDG));
 31:   PetscCall(PetscFree(dsfield));
 32:   PetscFunctionReturn(PETSC_SUCCESS);
 33: }

 35: static PetscErrorCode DMFieldView_DS(DMField field, PetscViewer viewer)
 36: {
 37:   DMField_DS *dsfield = (DMField_DS *)field->data;
 38:   PetscObject disc;
 39:   PetscBool   iascii;

 41:   PetscFunctionBegin;
 42:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &iascii));
 43:   disc = dsfield->disc[0];
 44:   if (iascii) {
 45:     PetscCall(PetscViewerASCIIPrintf(viewer, "PetscDS field %" PetscInt_FMT "\n", dsfield->fieldNum));
 46:     PetscCall(PetscViewerASCIIPushTab(viewer));
 47:     PetscCall(PetscObjectView(disc, viewer));
 48:     PetscCall(PetscViewerASCIIPopTab(viewer));
 49:   }
 50:   PetscCall(PetscViewerASCIIPushTab(viewer));
 51:   PetscCheck(!dsfield->multifieldVec, PetscObjectComm((PetscObject)field), PETSC_ERR_SUP, "View of subfield not implemented yet");
 52:   PetscCall(VecView(dsfield->vec, viewer));
 53:   PetscCall(PetscViewerASCIIPopTab(viewer));
 54:   PetscFunctionReturn(PETSC_SUCCESS);
 55: }

 57: static PetscErrorCode DMFieldDSGetHeightDisc(DMField field, PetscInt height, PetscObject discList[], PetscObject *disc)
 58: {
 59:   PetscFunctionBegin;
 60:   PetscCheck(height >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Height %" PetscInt_FMT " must be non-negative", height);
 61:   if (!discList[height]) {
 62:     PetscClassId id;

 64:     PetscCall(PetscObjectGetClassId(discList[0], &id));
 65:     if (id == PETSCFE_CLASSID) PetscCall(PetscFECreateHeightTrace((PetscFE)discList[0], height, (PetscFE *)&discList[height]));
 66:   }
 67:   *disc = discList[height];
 68:   PetscFunctionReturn(PETSC_SUCCESS);
 69: }

 71: /* y[m,c] = A[m,n,c] . b[n] */
 72: #define DMFieldDSdot(y, A, b, m, n, c, cast) \
 73:   do { \
 74:     PetscInt _i, _j, _k; \
 75:     for (_i = 0; _i < (m); _i++) { \
 76:       for (_k = 0; _k < (c); _k++) (y)[_i * (c) + _k] = 0.; \
 77:       for (_j = 0; _j < (n); _j++) { \
 78:         for (_k = 0; _k < (c); _k++) (y)[_i * (c) + _k] += (A)[(_i * (n) + _j) * (c) + _k] * cast((b)[_j]); \
 79:       } \
 80:     } \
 81:   } while (0)

 83: /*
 84:   Since this is used for coordinates, we need to allow for the possibility that values come from multiple sections/Vecs, so that we can have DG version of the coordinates for periodicity. This reproduces DMPlexGetCellCoordinates_Internal().
 85: */
 86: static PetscErrorCode DMFieldGetClosure_Internal(DMField field, PetscInt cell, PetscBool *isDG, PetscInt *Nc, const PetscScalar *array[], PetscScalar *values[])
 87: {
 88:   DMField_DS        *dsfield = (DMField_DS *)field->data;
 89:   DM                 fdm     = dsfield->dmDG;
 90:   PetscSection       s       = NULL;
 91:   const PetscScalar *cvalues;
 92:   PetscInt           pStart, pEnd;

 94:   PetscFunctionBeginHot;
 95:   *isDG   = PETSC_FALSE;
 96:   *Nc     = 0;
 97:   *array  = NULL;
 98:   *values = NULL;
 99:   /* Check for cellwise section */
100:   if (fdm) PetscCall(DMGetLocalSection(fdm, &s));
101:   if (!s) goto cg;
102:   /* Check that the cell exists in the cellwise section */
103:   PetscCall(PetscSectionGetChart(s, &pStart, &pEnd));
104:   if (cell < pStart || cell >= pEnd) goto cg;
105:   /* Check for cellwise coordinates for this cell */
106:   PetscCall(PetscSectionGetDof(s, cell, Nc));
107:   if (!*Nc) goto cg;
108:   /* Check for cellwise coordinates */
109:   if (!dsfield->vecDG) goto cg;
110:   /* Get cellwise coordinates */
111:   PetscCall(VecGetArrayRead(dsfield->vecDG, array));
112:   PetscCall(DMPlexPointLocalRead(fdm, cell, *array, &cvalues));
113:   PetscCall(DMGetWorkArray(fdm, *Nc, MPIU_SCALAR, values));
114:   PetscCall(PetscArraycpy(*values, cvalues, *Nc));
115:   PetscCall(VecRestoreArrayRead(dsfield->vecDG, array));
116:   *isDG = PETSC_TRUE;
117:   PetscFunctionReturn(PETSC_SUCCESS);
118: cg:
119:   /* Use continuous values */
120:   PetscCall(DMFieldGetDM(field, &fdm));
121:   PetscCall(DMGetLocalSection(fdm, &s));
122:   PetscCall(PetscSectionGetField(s, dsfield->fieldNum, &s));
123:   PetscCall(DMPlexVecGetClosure(fdm, s, dsfield->vec, cell, Nc, values));
124:   PetscFunctionReturn(PETSC_SUCCESS);
125: }

127: static PetscErrorCode DMFieldRestoreClosure_Internal(DMField field, PetscInt cell, PetscBool *isDG, PetscInt *Nc, const PetscScalar *array[], PetscScalar *values[])
128: {
129:   DMField_DS  *dsfield = (DMField_DS *)field->data;
130:   DM           fdm;
131:   PetscSection s;

133:   PetscFunctionBeginHot;
134:   if (*isDG) {
135:     PetscCall(DMRestoreWorkArray(dsfield->dmDG, *Nc, MPIU_SCALAR, values));
136:   } else {
137:     PetscCall(DMFieldGetDM(field, &fdm));
138:     PetscCall(DMGetLocalSection(fdm, &s));
139:     PetscCall(DMPlexVecRestoreClosure(fdm, s, dsfield->vec, cell, Nc, (PetscScalar **)values));
140:   }
141:   PetscFunctionReturn(PETSC_SUCCESS);
142: }

144: /* TODO: Reorganize interface so that I can reuse a tabulation rather than mallocing each time */
145: static PetscErrorCode DMFieldEvaluateFE_DS(DMField field, IS pointIS, PetscQuadrature quad, PetscDataType type, void *B, void *D, void *H)
146: {
147:   DMField_DS      *dsfield = (DMField_DS *)field->data;
148:   DM               dm;
149:   PetscObject      disc;
150:   PetscClassId     classid;
151:   PetscInt         nq, nc, dim, meshDim, numCells;
152:   PetscSection     section;
153:   const PetscReal *qpoints;
154:   PetscBool        isStride;
155:   const PetscInt  *points = NULL;
156:   PetscInt         sfirst = -1, stride = -1;

158:   PetscFunctionBeginHot;
159:   dm = field->dm;
160:   nc = field->numComponents;
161:   PetscCall(PetscQuadratureGetData(quad, &dim, NULL, &nq, &qpoints, NULL));
162:   PetscCall(DMFieldDSGetHeightDisc(field, dsfield->height - 1 - dim, dsfield->disc, &disc));
163:   PetscCall(DMGetDimension(dm, &meshDim));
164:   PetscCall(DMGetLocalSection(dm, &section));
165:   PetscCall(PetscSectionGetField(section, dsfield->fieldNum, &section));
166:   PetscCall(PetscObjectGetClassId(disc, &classid));
167:   /* TODO: batch */
168:   PetscCall(PetscObjectTypeCompare((PetscObject)pointIS, ISSTRIDE, &isStride));
169:   PetscCall(ISGetLocalSize(pointIS, &numCells));
170:   if (isStride) PetscCall(ISStrideGetInfo(pointIS, &sfirst, &stride));
171:   else PetscCall(ISGetIndices(pointIS, &points));
172:   if (classid == PETSCFE_CLASSID) {
173:     PetscFE         fe = (PetscFE)disc;
174:     PetscInt        feDim, i;
175:     PetscInt        K = H ? 2 : (D ? 1 : (B ? 0 : -1));
176:     PetscTabulation T;

178:     PetscCall(PetscFEGetDimension(fe, &feDim));
179:     PetscCall(PetscFECreateTabulation(fe, 1, nq, qpoints, K, &T));
180:     for (i = 0; i < numCells; i++) {
181:       PetscInt           c = isStride ? (sfirst + i * stride) : points[i];
182:       PetscInt           closureSize;
183:       const PetscScalar *array;
184:       PetscScalar       *elem = NULL;
185:       PetscBool          isDG;

187:       PetscCall(DMFieldGetClosure_Internal(field, c, &isDG, &closureSize, &array, &elem));
188:       if (B) {
189:         /* field[c] = T[q,b,c] . coef[b], so v[c] = T[q,b,c] . coords[b] */
190:         if (type == PETSC_SCALAR) {
191:           PetscScalar *cB = &((PetscScalar *)B)[nc * nq * i];

193:           DMFieldDSdot(cB, T->T[0], elem, nq, feDim, nc, (PetscScalar));
194:         } else {
195:           PetscReal *cB = &((PetscReal *)B)[nc * nq * i];

197:           DMFieldDSdot(cB, T->T[0], elem, nq, feDim, nc, PetscRealPart);
198:         }
199:       }
200:       if (D) {
201:         if (type == PETSC_SCALAR) {
202:           PetscScalar *cD = &((PetscScalar *)D)[nc * nq * dim * i];

204:           DMFieldDSdot(cD, T->T[1], elem, nq, feDim, (nc * dim), (PetscScalar));
205:         } else {
206:           PetscReal *cD = &((PetscReal *)D)[nc * nq * dim * i];

208:           DMFieldDSdot(cD, T->T[1], elem, nq, feDim, (nc * dim), PetscRealPart);
209:         }
210:       }
211:       if (H) {
212:         if (type == PETSC_SCALAR) {
213:           PetscScalar *cH = &((PetscScalar *)H)[nc * nq * dim * dim * i];

215:           DMFieldDSdot(cH, T->T[2], elem, nq, feDim, (nc * dim * dim), (PetscScalar));
216:         } else {
217:           PetscReal *cH = &((PetscReal *)H)[nc * nq * dim * dim * i];

219:           DMFieldDSdot(cH, T->T[2], elem, nq, feDim, (nc * dim * dim), PetscRealPart);
220:         }
221:       }
222:       PetscCall(DMFieldRestoreClosure_Internal(field, c, &isDG, &closureSize, &array, &elem));
223:     }
224:     PetscCall(PetscTabulationDestroy(&T));
225:   } else SETERRQ(PetscObjectComm((PetscObject)field), PETSC_ERR_SUP, "Not implemented");
226:   if (!isStride) PetscCall(ISRestoreIndices(pointIS, &points));
227:   PetscFunctionReturn(PETSC_SUCCESS);
228: }

230: static PetscErrorCode DMFieldEvaluate_DS(DMField field, Vec points, PetscDataType datatype, void *B, void *D, void *H)
231: {
232:   DMField_DS        *dsfield = (DMField_DS *)field->data;
233:   PetscSF            cellSF  = NULL;
234:   const PetscSFNode *cells;
235:   PetscInt           c, nFound, numCells, feDim, nc;
236:   const PetscInt    *cellDegrees;
237:   const PetscScalar *pointsArray;
238:   PetscScalar       *cellPoints;
239:   PetscInt           gatherSize, gatherMax;
240:   PetscInt           dim, dimR, offset;
241:   MPI_Datatype       pointType;
242:   PetscObject        cellDisc;
243:   PetscFE            cellFE;
244:   PetscClassId       discID;
245:   PetscReal         *coordsReal, *coordsRef;
246:   PetscSection       section;
247:   PetscScalar       *cellBs = NULL, *cellDs = NULL, *cellHs = NULL;
248:   PetscReal         *cellBr = NULL, *cellDr = NULL, *cellHr = NULL;
249:   PetscReal         *v, *J, *invJ, *detJ;

251:   PetscFunctionBegin;
252:   nc = field->numComponents;
253:   PetscCall(DMGetLocalSection(field->dm, &section));
254:   PetscCall(DMFieldDSGetHeightDisc(field, 0, dsfield->disc, &cellDisc));
255:   PetscCall(PetscObjectGetClassId(cellDisc, &discID));
256:   PetscCheck(discID == PETSCFE_CLASSID, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Discretization type not supported");
257:   cellFE = (PetscFE)cellDisc;
258:   PetscCall(PetscFEGetDimension(cellFE, &feDim));
259:   PetscCall(DMGetCoordinateDim(field->dm, &dim));
260:   PetscCall(DMGetDimension(field->dm, &dimR));
261:   PetscCall(DMLocatePoints(field->dm, points, DM_POINTLOCATION_NONE, &cellSF));
262:   PetscCall(PetscSFGetGraph(cellSF, &numCells, &nFound, NULL, &cells));
263:   for (c = 0; c < nFound; c++) PetscCheck(cells[c].index >= 0, PetscObjectComm((PetscObject)points), PETSC_ERR_ARG_WRONG, "Point %" PetscInt_FMT " could not be located", c);
264:   PetscCall(PetscSFComputeDegreeBegin(cellSF, &cellDegrees));
265:   PetscCall(PetscSFComputeDegreeEnd(cellSF, &cellDegrees));
266:   for (c = 0, gatherSize = 0, gatherMax = 0; c < numCells; c++) {
267:     gatherMax = PetscMax(gatherMax, cellDegrees[c]);
268:     gatherSize += cellDegrees[c];
269:   }
270:   PetscCall(PetscMalloc3(gatherSize * dim, &cellPoints, gatherMax * dim, &coordsReal, gatherMax * dimR, &coordsRef));
271:   PetscCall(PetscMalloc4(gatherMax * dimR, &v, gatherMax * dimR * dimR, &J, gatherMax * dimR * dimR, &invJ, gatherMax, &detJ));
272:   if (datatype == PETSC_SCALAR) PetscCall(PetscMalloc3((B ? (size_t)nc * gatherSize : 0), &cellBs, (D ? (size_t)nc * dim * gatherSize : 0), &cellDs, (H ? (size_t)nc * dim * dim * gatherSize : 0), &cellHs));
273:   else PetscCall(PetscMalloc3((B ? (size_t)nc * gatherSize : 0), &cellBr, (D ? (size_t)nc * dim * gatherSize : 0), &cellDr, (H ? (size_t)nc * dim * dim * gatherSize : 0), &cellHr));

275:   PetscCallMPI(MPI_Type_contiguous((PetscMPIInt)dim, MPIU_SCALAR, &pointType));
276:   PetscCallMPI(MPI_Type_commit(&pointType));
277:   PetscCall(VecGetArrayRead(points, &pointsArray));
278:   PetscCall(PetscSFGatherBegin(cellSF, pointType, pointsArray, cellPoints));
279:   PetscCall(PetscSFGatherEnd(cellSF, pointType, pointsArray, cellPoints));
280:   PetscCall(VecRestoreArrayRead(points, &pointsArray));
281:   for (c = 0, offset = 0; c < numCells; c++) {
282:     PetscInt nq = cellDegrees[c], p;

284:     if (nq) {
285:       PetscInt           K = H ? 2 : (D ? 1 : (B ? 0 : -1));
286:       PetscTabulation    T;
287:       PetscQuadrature    quad;
288:       const PetscScalar *array;
289:       PetscScalar       *elem = NULL;
290:       PetscReal         *quadPoints;
291:       PetscBool          isDG;
292:       PetscInt           closureSize, d, e, f, g;

294:       for (p = 0; p < dim * nq; p++) coordsReal[p] = PetscRealPart(cellPoints[dim * offset + p]);
295:       PetscCall(DMPlexCoordinatesToReference(field->dm, c, nq, coordsReal, coordsRef));
296:       PetscCall(PetscFECreateTabulation(cellFE, 1, nq, coordsRef, K, &T));
297:       PetscCall(PetscQuadratureCreate(PETSC_COMM_SELF, &quad));
298:       PetscCall(PetscMalloc1(dimR * nq, &quadPoints));
299:       for (p = 0; p < dimR * nq; p++) quadPoints[p] = coordsRef[p];
300:       PetscCall(PetscQuadratureSetData(quad, dimR, 0, nq, quadPoints, NULL));
301:       PetscCall(DMPlexComputeCellGeometryFEM(field->dm, c, quad, v, J, invJ, detJ));
302:       PetscCall(PetscQuadratureDestroy(&quad));
303:       PetscCall(DMFieldGetClosure_Internal(field, c, &isDG, &closureSize, &array, &elem));
304:       if (B) {
305:         if (datatype == PETSC_SCALAR) {
306:           PetscScalar *cB = &cellBs[nc * offset];

308:           DMFieldDSdot(cB, T->T[0], elem, nq, feDim, nc, (PetscScalar));
309:         } else {
310:           PetscReal *cB = &cellBr[nc * offset];

312:           DMFieldDSdot(cB, T->T[0], elem, nq, feDim, nc, PetscRealPart);
313:         }
314:       }
315:       if (D) {
316:         if (datatype == PETSC_SCALAR) {
317:           PetscScalar *cD = &cellDs[nc * dim * offset];

319:           DMFieldDSdot(cD, T->T[1], elem, nq, feDim, (nc * dim), (PetscScalar));
320:           for (p = 0; p < nq; p++) {
321:             for (g = 0; g < nc; g++) {
322:               PetscScalar vs[3];

324:               for (d = 0; d < dimR; d++) {
325:                 vs[d] = 0.;
326:                 for (e = 0; e < dimR; e++) vs[d] += invJ[dimR * dimR * p + e * dimR + d] * cD[(nc * p + g) * dimR + e];
327:               }
328:               for (d = 0; d < dimR; d++) cD[(nc * p + g) * dimR + d] = vs[d];
329:             }
330:           }
331:         } else {
332:           PetscReal *cD = &cellDr[nc * dim * offset];

334:           DMFieldDSdot(cD, T->T[1], elem, nq, feDim, (nc * dim), PetscRealPart);
335:           for (p = 0; p < nq; p++) {
336:             for (g = 0; g < nc; g++) {
337:               for (d = 0; d < dimR; d++) {
338:                 v[d] = 0.;
339:                 for (e = 0; e < dimR; e++) v[d] += invJ[dimR * dimR * p + e * dimR + d] * cD[(nc * p + g) * dimR + e];
340:               }
341:               for (d = 0; d < dimR; d++) cD[(nc * p + g) * dimR + d] = v[d];
342:             }
343:           }
344:         }
345:       }
346:       if (H) {
347:         if (datatype == PETSC_SCALAR) {
348:           PetscScalar *cH = &cellHs[nc * dim * dim * offset];

350:           DMFieldDSdot(cH, T->T[2], elem, nq, feDim, (nc * dim * dim), (PetscScalar));
351:           for (p = 0; p < nq; p++) {
352:             for (g = 0; g < nc * dimR; g++) {
353:               PetscScalar vs[3];

355:               for (d = 0; d < dimR; d++) {
356:                 vs[d] = 0.;
357:                 for (e = 0; e < dimR; e++) vs[d] += invJ[dimR * dimR * p + e * dimR + d] * cH[(nc * dimR * p + g) * dimR + e];
358:               }
359:               for (d = 0; d < dimR; d++) cH[(nc * dimR * p + g) * dimR + d] = vs[d];
360:             }
361:             for (g = 0; g < nc; g++) {
362:               for (f = 0; f < dimR; f++) {
363:                 PetscScalar vs[3];

365:                 for (d = 0; d < dimR; d++) {
366:                   vs[d] = 0.;
367:                   for (e = 0; e < dimR; e++) vs[d] += invJ[dimR * dimR * p + e * dimR + d] * cH[((nc * p + g) * dimR + e) * dimR + f];
368:                 }
369:                 for (d = 0; d < dimR; d++) cH[((nc * p + g) * dimR + d) * dimR + f] = vs[d];
370:               }
371:             }
372:           }
373:         } else {
374:           PetscReal *cH = &cellHr[nc * dim * dim * offset];

376:           DMFieldDSdot(cH, T->T[2], elem, nq, feDim, (nc * dim * dim), PetscRealPart);
377:           for (p = 0; p < nq; p++) {
378:             for (g = 0; g < nc * dimR; g++) {
379:               for (d = 0; d < dimR; d++) {
380:                 v[d] = 0.;
381:                 for (e = 0; e < dimR; e++) v[d] += invJ[dimR * dimR * p + e * dimR + d] * cH[(nc * dimR * p + g) * dimR + e];
382:               }
383:               for (d = 0; d < dimR; d++) cH[(nc * dimR * p + g) * dimR + d] = v[d];
384:             }
385:             for (g = 0; g < nc; g++) {
386:               for (f = 0; f < dimR; f++) {
387:                 for (d = 0; d < dimR; d++) {
388:                   v[d] = 0.;
389:                   for (e = 0; e < dimR; e++) v[d] += invJ[dimR * dimR * p + e * dimR + d] * cH[((nc * p + g) * dimR + e) * dimR + f];
390:                 }
391:                 for (d = 0; d < dimR; d++) cH[((nc * p + g) * dimR + d) * dimR + f] = v[d];
392:               }
393:             }
394:           }
395:         }
396:       }
397:       PetscCall(DMFieldRestoreClosure_Internal(field, c, &isDG, &closureSize, &array, &elem));
398:       PetscCall(PetscTabulationDestroy(&T));
399:     }
400:     offset += nq;
401:   }
402:   {
403:     MPI_Datatype origtype;

405:     if (datatype == PETSC_SCALAR) {
406:       origtype = MPIU_SCALAR;
407:     } else {
408:       origtype = MPIU_REAL;
409:     }
410:     if (B) {
411:       MPI_Datatype Btype;

413:       PetscCallMPI(MPI_Type_contiguous((PetscMPIInt)nc, origtype, &Btype));
414:       PetscCallMPI(MPI_Type_commit(&Btype));
415:       PetscCall(PetscSFScatterBegin(cellSF, Btype, (datatype == PETSC_SCALAR) ? (void *)cellBs : (void *)cellBr, B));
416:       PetscCall(PetscSFScatterEnd(cellSF, Btype, (datatype == PETSC_SCALAR) ? (void *)cellBs : (void *)cellBr, B));
417:       PetscCallMPI(MPI_Type_free(&Btype));
418:     }
419:     if (D) {
420:       MPI_Datatype Dtype;

422:       PetscCallMPI(MPI_Type_contiguous((PetscMPIInt)(nc * dim), origtype, &Dtype));
423:       PetscCallMPI(MPI_Type_commit(&Dtype));
424:       PetscCall(PetscSFScatterBegin(cellSF, Dtype, (datatype == PETSC_SCALAR) ? (void *)cellDs : (void *)cellDr, D));
425:       PetscCall(PetscSFScatterEnd(cellSF, Dtype, (datatype == PETSC_SCALAR) ? (void *)cellDs : (void *)cellDr, D));
426:       PetscCallMPI(MPI_Type_free(&Dtype));
427:     }
428:     if (H) {
429:       MPI_Datatype Htype;

431:       PetscCallMPI(MPI_Type_contiguous((PetscMPIInt)(nc * dim * dim), origtype, &Htype));
432:       PetscCallMPI(MPI_Type_commit(&Htype));
433:       PetscCall(PetscSFScatterBegin(cellSF, Htype, (datatype == PETSC_SCALAR) ? (void *)cellHs : (void *)cellHr, H));
434:       PetscCall(PetscSFScatterEnd(cellSF, Htype, (datatype == PETSC_SCALAR) ? (void *)cellHs : (void *)cellHr, H));
435:       PetscCallMPI(MPI_Type_free(&Htype));
436:     }
437:   }
438:   PetscCall(PetscFree4(v, J, invJ, detJ));
439:   PetscCall(PetscFree3(cellBr, cellDr, cellHr));
440:   PetscCall(PetscFree3(cellBs, cellDs, cellHs));
441:   PetscCall(PetscFree3(cellPoints, coordsReal, coordsRef));
442:   PetscCallMPI(MPI_Type_free(&pointType));
443:   PetscCall(PetscSFDestroy(&cellSF));
444:   PetscFunctionReturn(PETSC_SUCCESS);
445: }

447: static PetscErrorCode DMFieldEvaluateFV_DS(DMField field, IS pointIS, PetscDataType type, void *B, void *D, void *H)
448: {
449:   DMField_DS      *dsfield = (DMField_DS *)field->data;
450:   PetscInt         h, imin;
451:   PetscInt         dim;
452:   PetscClassId     id;
453:   PetscQuadrature  quad = NULL;
454:   PetscInt         maxDegree;
455:   PetscFEGeom     *geom;
456:   PetscInt         Nq, Nc, dimC, qNc, N;
457:   PetscInt         numPoints;
458:   void            *qB = NULL, *qD = NULL, *qH = NULL;
459:   const PetscReal *weights;
460:   MPI_Datatype     mpitype = type == PETSC_SCALAR ? MPIU_SCALAR : MPIU_REAL;
461:   PetscObject      disc;
462:   DMField          coordField;

464:   PetscFunctionBegin;
465:   Nc = field->numComponents;
466:   PetscCall(DMGetCoordinateDim(field->dm, &dimC));
467:   PetscCall(DMGetDimension(field->dm, &dim));
468:   PetscCall(ISGetLocalSize(pointIS, &numPoints));
469:   PetscCall(ISGetMinMax(pointIS, &imin, NULL));
470:   for (h = 0; h < dsfield->height; h++) {
471:     PetscInt hEnd;

473:     PetscCall(DMPlexGetHeightStratum(field->dm, h, NULL, &hEnd));
474:     if (imin < hEnd) break;
475:   }
476:   dim -= h;
477:   PetscCall(DMFieldDSGetHeightDisc(field, h, dsfield->disc, &disc));
478:   PetscCall(PetscObjectGetClassId(disc, &id));
479:   PetscCheck(id == PETSCFE_CLASSID, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Discretization not supported");
480:   PetscCall(DMGetCoordinateField(field->dm, &coordField));
481:   PetscCall(DMFieldGetDegree(coordField, pointIS, NULL, &maxDegree));
482:   if (maxDegree <= 1) PetscCall(DMFieldCreateDefaultQuadrature(coordField, pointIS, &quad));
483:   if (!quad) PetscCall(DMFieldCreateDefaultQuadrature(field, pointIS, &quad));
484:   PetscCheck(quad, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Could not determine quadrature for cell averages");
485:   PetscCall(DMFieldCreateFEGeom(coordField, pointIS, quad, PETSC_FALSE, &geom));
486:   PetscCall(PetscQuadratureGetData(quad, NULL, &qNc, &Nq, NULL, &weights));
487:   PetscCheck(qNc == 1, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Expected scalar quadrature components");
488:   N = numPoints * Nq * Nc;
489:   if (B) PetscCall(DMGetWorkArray(field->dm, N, mpitype, &qB));
490:   if (D) PetscCall(DMGetWorkArray(field->dm, N * dimC, mpitype, &qD));
491:   if (H) PetscCall(DMGetWorkArray(field->dm, N * dimC * dimC, mpitype, &qH));
492:   PetscCall(DMFieldEvaluateFE(field, pointIS, quad, type, qB, qD, qH));
493:   if (B) {
494:     PetscInt i, j, k;

496:     if (type == PETSC_SCALAR) {
497:       PetscScalar *sB  = (PetscScalar *)B;
498:       PetscScalar *sqB = (PetscScalar *)qB;

500:       for (i = 0; i < numPoints; i++) {
501:         PetscReal vol = 0.;

503:         for (j = 0; j < Nc; j++) sB[i * Nc + j] = 0.;
504:         for (k = 0; k < Nq; k++) {
505:           vol += geom->detJ[i * Nq + k] * weights[k];
506:           for (j = 0; j < Nc; j++) sB[i * Nc + j] += geom->detJ[i * Nq + k] * weights[k] * sqB[(i * Nq + k) * Nc + j];
507:         }
508:         for (k = 0; k < Nc; k++) sB[i * Nc + k] /= vol;
509:       }
510:     } else {
511:       PetscReal *rB  = (PetscReal *)B;
512:       PetscReal *rqB = (PetscReal *)qB;

514:       for (i = 0; i < numPoints; i++) {
515:         PetscReal vol = 0.;

517:         for (j = 0; j < Nc; j++) rB[i * Nc + j] = 0.;
518:         for (k = 0; k < Nq; k++) {
519:           vol += geom->detJ[i * Nq + k] * weights[k];
520:           for (j = 0; j < Nc; j++) rB[i * Nc + j] += weights[k] * rqB[(i * Nq + k) * Nc + j];
521:         }
522:         for (k = 0; k < Nc; k++) rB[i * Nc + k] /= vol;
523:       }
524:     }
525:   }
526:   if (D) {
527:     PetscInt i, j, k, l, m;

529:     if (type == PETSC_SCALAR) {
530:       PetscScalar *sD  = (PetscScalar *)D;
531:       PetscScalar *sqD = (PetscScalar *)qD;

533:       for (i = 0; i < numPoints; i++) {
534:         PetscReal vol = 0.;

536:         for (j = 0; j < Nc * dimC; j++) sD[i * Nc * dimC + j] = 0.;
537:         for (k = 0; k < Nq; k++) {
538:           vol += geom->detJ[i * Nq + k] * weights[k];
539:           for (j = 0; j < Nc; j++) {
540:             PetscScalar pD[3] = {0., 0., 0.};

542:             for (l = 0; l < dimC; l++) {
543:               for (m = 0; m < dim; m++) pD[l] += geom->invJ[((i * Nq + k) * dimC + m) * dimC + l] * sqD[((i * Nq + k) * Nc + j) * dim + m];
544:             }
545:             for (l = 0; l < dimC; l++) sD[(i * Nc + j) * dimC + l] += geom->detJ[i * Nq + k] * weights[k] * pD[l];
546:           }
547:         }
548:         for (k = 0; k < Nc * dimC; k++) sD[i * Nc * dimC + k] /= vol;
549:       }
550:     } else {
551:       PetscReal *rD  = (PetscReal *)D;
552:       PetscReal *rqD = (PetscReal *)qD;

554:       for (i = 0; i < numPoints; i++) {
555:         PetscReal vol = 0.;

557:         for (j = 0; j < Nc * dimC; j++) rD[i * Nc * dimC + j] = 0.;
558:         for (k = 0; k < Nq; k++) {
559:           vol += geom->detJ[i * Nq + k] * weights[k];
560:           for (j = 0; j < Nc; j++) {
561:             PetscReal pD[3] = {0., 0., 0.};

563:             for (l = 0; l < dimC; l++) {
564:               for (m = 0; m < dim; m++) pD[l] += geom->invJ[((i * Nq + k) * dimC + m) * dimC + l] * rqD[((i * Nq + k) * Nc + j) * dim + m];
565:             }
566:             for (l = 0; l < dimC; l++) rD[(i * Nc + j) * dimC + l] += geom->detJ[i * Nq + k] * weights[k] * pD[l];
567:           }
568:         }
569:         for (k = 0; k < Nc * dimC; k++) rD[i * Nc * dimC + k] /= vol;
570:       }
571:     }
572:   }
573:   if (H) {
574:     PetscInt i, j, k, l, m, q, r;

576:     if (type == PETSC_SCALAR) {
577:       PetscScalar *sH  = (PetscScalar *)H;
578:       PetscScalar *sqH = (PetscScalar *)qH;

580:       for (i = 0; i < numPoints; i++) {
581:         PetscReal vol = 0.;

583:         for (j = 0; j < Nc * dimC * dimC; j++) sH[i * Nc * dimC * dimC + j] = 0.;
584:         for (k = 0; k < Nq; k++) {
585:           const PetscReal *invJ = &geom->invJ[(i * Nq + k) * dimC * dimC];

587:           vol += geom->detJ[i * Nq + k] * weights[k];
588:           for (j = 0; j < Nc; j++) {
589:             PetscScalar pH[3][3] = {
590:               {0., 0., 0.},
591:               {0., 0., 0.},
592:               {0., 0., 0.}
593:             };
594:             const PetscScalar *spH = &sqH[((i * Nq + k) * Nc + j) * dimC * dimC];

596:             for (l = 0; l < dimC; l++) {
597:               for (m = 0; m < dimC; m++) {
598:                 for (q = 0; q < dim; q++) {
599:                   for (r = 0; r < dim; r++) pH[l][m] += invJ[q * dimC + l] * invJ[r * dimC + m] * spH[q * dim + r];
600:                 }
601:               }
602:             }
603:             for (l = 0; l < dimC; l++) {
604:               for (m = 0; m < dimC; m++) sH[(i * Nc + j) * dimC * dimC + l * dimC + m] += geom->detJ[i * Nq + k] * weights[k] * pH[l][m];
605:             }
606:           }
607:         }
608:         for (k = 0; k < Nc * dimC * dimC; k++) sH[i * Nc * dimC * dimC + k] /= vol;
609:       }
610:     } else {
611:       PetscReal *rH  = (PetscReal *)H;
612:       PetscReal *rqH = (PetscReal *)qH;

614:       for (i = 0; i < numPoints; i++) {
615:         PetscReal vol = 0.;

617:         for (j = 0; j < Nc * dimC * dimC; j++) rH[i * Nc * dimC * dimC + j] = 0.;
618:         for (k = 0; k < Nq; k++) {
619:           const PetscReal *invJ = &geom->invJ[(i * Nq + k) * dimC * dimC];

621:           vol += geom->detJ[i * Nq + k] * weights[k];
622:           for (j = 0; j < Nc; j++) {
623:             PetscReal pH[3][3] = {
624:               {0., 0., 0.},
625:               {0., 0., 0.},
626:               {0., 0., 0.}
627:             };
628:             const PetscReal *rpH = &rqH[((i * Nq + k) * Nc + j) * dimC * dimC];

630:             for (l = 0; l < dimC; l++) {
631:               for (m = 0; m < dimC; m++) {
632:                 for (q = 0; q < dim; q++) {
633:                   for (r = 0; r < dim; r++) pH[l][m] += invJ[q * dimC + l] * invJ[r * dimC + m] * rpH[q * dim + r];
634:                 }
635:               }
636:             }
637:             for (l = 0; l < dimC; l++) {
638:               for (m = 0; m < dimC; m++) rH[(i * Nc + j) * dimC * dimC + l * dimC + m] += geom->detJ[i * Nq + k] * weights[k] * pH[l][m];
639:             }
640:           }
641:         }
642:         for (k = 0; k < Nc * dimC * dimC; k++) rH[i * Nc * dimC * dimC + k] /= vol;
643:       }
644:     }
645:   }
646:   if (B) PetscCall(DMRestoreWorkArray(field->dm, N, mpitype, &qB));
647:   if (D) PetscCall(DMRestoreWorkArray(field->dm, N * dimC, mpitype, &qD));
648:   if (H) PetscCall(DMRestoreWorkArray(field->dm, N * dimC * dimC, mpitype, &qH));
649:   PetscCall(PetscFEGeomDestroy(&geom));
650:   PetscCall(PetscQuadratureDestroy(&quad));
651:   PetscFunctionReturn(PETSC_SUCCESS);
652: }

654: static PetscErrorCode DMFieldGetDegree_DS(DMField field, IS pointIS, PetscInt *minDegree, PetscInt *maxDegree)
655: {
656:   DMField_DS  *dsfield;
657:   PetscObject  disc;
658:   PetscInt     h, imin, imax;
659:   PetscClassId id;

661:   PetscFunctionBegin;
662:   dsfield = (DMField_DS *)field->data;
663:   PetscCall(ISGetMinMax(pointIS, &imin, &imax));
664:   if (imin >= imax) {
665:     h = 0;
666:   } else {
667:     for (h = 0; h < dsfield->height; h++) {
668:       PetscInt hEnd;

670:       PetscCall(DMPlexGetHeightStratum(field->dm, h, NULL, &hEnd));
671:       if (imin < hEnd) break;
672:     }
673:   }
674:   PetscCall(DMFieldDSGetHeightDisc(field, h, dsfield->disc, &disc));
675:   PetscCall(PetscObjectGetClassId(disc, &id));
676:   if (id == PETSCFE_CLASSID) {
677:     PetscFE    fe = (PetscFE)disc;
678:     PetscSpace sp;

680:     PetscCall(PetscFEGetBasisSpace(fe, &sp));
681:     PetscCall(PetscSpaceGetDegree(sp, minDegree, maxDegree));
682:   }
683:   PetscFunctionReturn(PETSC_SUCCESS);
684: }

686: PetscErrorCode DMFieldGetFVQuadrature_Internal(DMField field, IS pointIS, PetscQuadrature *quad)
687: {
688:   DM              dm = field->dm;
689:   const PetscInt *points;
690:   DMPolytopeType  ct;
691:   PetscInt        dim, n;
692:   PetscBool       isplex;

694:   PetscFunctionBegin;
695:   PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMPLEX, &isplex));
696:   PetscCall(ISGetLocalSize(pointIS, &n));
697:   if (isplex && n) {
698:     PetscCall(DMGetDimension(dm, &dim));
699:     PetscCall(ISGetIndices(pointIS, &points));
700:     PetscCall(DMPlexGetCellType(dm, points[0], &ct));
701:     switch (ct) {
702:     case DM_POLYTOPE_TRIANGLE:
703:     case DM_POLYTOPE_TETRAHEDRON:
704:       PetscCall(PetscDTStroudConicalQuadrature(dim, 1, 1, -1.0, 1.0, quad));
705:       break;
706:     default:
707:       PetscCall(PetscDTGaussTensorQuadrature(dim, 1, 1, -1.0, 1.0, quad));
708:     }
709:     PetscCall(ISRestoreIndices(pointIS, &points));
710:   } else PetscCall(DMFieldCreateDefaultQuadrature(field, pointIS, quad));
711:   PetscFunctionReturn(PETSC_SUCCESS);
712: }

714: static PetscErrorCode DMFieldCreateDefaultQuadrature_DS(DMField field, IS pointIS, PetscQuadrature *quad)
715: {
716:   PetscInt     h, dim, imax, imin, cellHeight;
717:   DM           dm;
718:   DMField_DS  *dsfield;
719:   PetscObject  disc;
720:   PetscFE      fe;
721:   PetscClassId id;

723:   PetscFunctionBegin;
724:   dm      = field->dm;
725:   dsfield = (DMField_DS *)field->data;
726:   PetscCall(ISGetMinMax(pointIS, &imin, &imax));
727:   PetscCall(DMGetDimension(dm, &dim));
728:   for (h = 0; h <= dim; h++) {
729:     PetscInt hStart, hEnd;

731:     PetscCall(DMPlexGetHeightStratum(dm, h, &hStart, &hEnd));
732:     if (imax >= hStart && imin < hEnd) break;
733:   }
734:   PetscCall(DMPlexGetVTKCellHeight(dm, &cellHeight));
735:   h -= cellHeight;
736:   *quad = NULL;
737:   if (h < dsfield->height) {
738:     PetscCall(DMFieldDSGetHeightDisc(field, h, dsfield->disc, &disc));
739:     PetscCall(PetscObjectGetClassId(disc, &id));
740:     if (id != PETSCFE_CLASSID) PetscFunctionReturn(PETSC_SUCCESS);
741:     fe = (PetscFE)disc;
742:     PetscCall(PetscFEGetQuadrature(fe, quad));
743:     PetscCall(PetscObjectReference((PetscObject)*quad));
744:   }
745:   PetscFunctionReturn(PETSC_SUCCESS);
746: }

748: static PetscErrorCode DMFieldComputeFaceData_DS(DMField field, IS pointIS, PetscQuadrature quad, PetscFEGeom *geom)
749: {
750:   const PetscInt *points;
751:   PetscInt        p, dim, dE, numFaces, Nq;
752:   PetscInt        maxDegree;
753:   DMLabel         depthLabel;
754:   IS              cellIS;
755:   DM              dm = field->dm;

757:   PetscFunctionBegin;
758:   dim = geom->dim;
759:   dE  = geom->dimEmbed;
760:   PetscCall(DMPlexGetDepthLabel(dm, &depthLabel));
761:   PetscCall(DMLabelGetStratumIS(depthLabel, dim + 1, &cellIS));
762:   PetscCall(DMFieldGetDegree(field, cellIS, NULL, &maxDegree));
763:   PetscCall(ISGetIndices(pointIS, &points));
764:   numFaces = geom->numCells;
765:   Nq       = geom->numPoints;
766:   /* First, set local faces and flip normals so that they are outward for the first supporting cell */
767:   for (p = 0; p < numFaces; p++) {
768:     PetscInt        point = points[p];
769:     PetscInt        suppSize, s, coneSize, c, numChildren;
770:     const PetscInt *supp;

772:     PetscCall(DMPlexGetTreeChildren(dm, point, &numChildren, NULL));
773:     PetscCheck(!numChildren, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Face data not valid for facets with children");
774:     PetscCall(DMPlexGetSupportSize(dm, point, &suppSize));
775:     PetscCheck(suppSize <= 2, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Point %" PetscInt_FMT " has %" PetscInt_FMT " support, expected at most 2", point, suppSize);
776:     if (!suppSize) continue;
777:     PetscCall(DMPlexGetSupport(dm, point, &supp));
778:     for (s = 0; s < suppSize; ++s) {
779:       const PetscInt *cone, *ornt;

781:       PetscCall(DMPlexGetConeSize(dm, supp[s], &coneSize));
782:       PetscCall(DMPlexGetOrientedCone(dm, supp[s], &cone, &ornt));
783:       for (c = 0; c < coneSize; ++c)
784:         if (cone[c] == point) break;
785:       geom->face[p][s * 2 + 0] = c;
786:       geom->face[p][s * 2 + 1] = ornt[c];
787:       PetscCall(DMPlexRestoreOrientedCone(dm, supp[s], &cone, &ornt));
788:       PetscCheck(c != coneSize, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid connectivity: point %" PetscInt_FMT " not found in cone of support point %" PetscInt_FMT, point, supp[s]);
789:     }
790:     if (geom->face[p][1] < 0) {
791:       PetscInt Np = geom->numPoints, q, dE = geom->dimEmbed, d;

793:       for (q = 0; q < Np; ++q)
794:         for (d = 0; d < dE; ++d) geom->n[(p * Np + q) * dE + d] = -geom->n[(p * Np + q) * dE + d];
795:     }
796:   }
797:   if (maxDegree <= 1) {
798:     PetscQuadrature cellQuad = NULL;
799:     PetscInt        numCells, offset, *cells;
800:     PetscFEGeom    *cellGeom;
801:     IS              suppIS;

803:     if (quad) {
804:       DM         dm;
805:       PetscReal *points, *weights;
806:       PetscInt   tdim, Nc, Np;

808:       PetscCall(DMFieldGetDM(field, &dm));
809:       PetscCall(DMGetDimension(dm, &tdim));
810:       if (tdim > dim) {
811:         // Make a compatible cell quadrature (points don't matter since its affine)
812:         PetscCall(PetscQuadratureCreate(PETSC_COMM_SELF, &cellQuad));
813:         PetscCall(PetscQuadratureGetData(quad, NULL, &Nc, &Np, NULL, NULL));
814:         PetscCall(PetscCalloc1((dim + 1) * Np, &points));
815:         PetscCall(PetscCalloc1(Nc * Np, &weights));
816:         PetscCall(PetscQuadratureSetData(cellQuad, dim + 1, Nc, Np, points, weights));
817:       } else {
818:         // TODO J will be wrong here, but other things need to be fixed
819:         //   This path comes from calling DMProjectBdFieldLabelLocal() in Plex ex5
820:         PetscCall(PetscObjectReference((PetscObject)quad));
821:         cellQuad = quad;
822:       }
823:     }
824:     for (p = 0, numCells = 0; p < numFaces; p++) {
825:       PetscInt point = points[p];
826:       PetscInt numSupp, numChildren;

828:       PetscCall(DMPlexGetTreeChildren(dm, point, &numChildren, NULL));
829:       PetscCheck(!numChildren, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Face data not valid for facets with children");
830:       PetscCall(DMPlexGetSupportSize(dm, point, &numSupp));
831:       PetscCheck(numSupp <= 2, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Point %" PetscInt_FMT " has %" PetscInt_FMT " support, expected at most 2", point, numSupp);
832:       numCells += numSupp;
833:     }
834:     PetscCall(PetscMalloc1(numCells, &cells));
835:     for (p = 0, offset = 0; p < numFaces; p++) {
836:       PetscInt        point = points[p];
837:       PetscInt        numSupp, s;
838:       const PetscInt *supp;

840:       PetscCall(DMPlexGetSupportSize(dm, point, &numSupp));
841:       PetscCall(DMPlexGetSupport(dm, point, &supp));
842:       for (s = 0; s < numSupp; s++, offset++) cells[offset] = supp[s];
843:     }
844:     PetscCall(ISCreateGeneral(PETSC_COMM_SELF, numCells, cells, PETSC_USE_POINTER, &suppIS));
845:     PetscCall(DMFieldCreateFEGeom(field, suppIS, cellQuad, PETSC_FALSE, &cellGeom));
846:     for (p = 0, offset = 0; p < numFaces; p++) {
847:       PetscInt        point = points[p];
848:       PetscInt        numSupp, s, q;
849:       const PetscInt *supp;

851:       PetscCall(DMPlexGetSupportSize(dm, point, &numSupp));
852:       PetscCall(DMPlexGetSupport(dm, point, &supp));
853:       for (s = 0; s < numSupp; s++, offset++) {
854:         for (q = 0; q < Nq * dE * dE; q++) {
855:           geom->suppJ[s][p * Nq * dE * dE + q]    = cellGeom->J[offset * Nq * dE * dE + q];
856:           geom->suppInvJ[s][p * Nq * dE * dE + q] = cellGeom->invJ[offset * Nq * dE * dE + q];
857:         }
858:         for (q = 0; q < Nq; q++) geom->suppDetJ[s][p * Nq + q] = cellGeom->detJ[offset * Nq + q];
859:       }
860:     }
861:     PetscCall(PetscFEGeomDestroy(&cellGeom));
862:     PetscCall(PetscQuadratureDestroy(&cellQuad));
863:     PetscCall(ISDestroy(&suppIS));
864:     PetscCall(PetscFree(cells));
865:   } else {
866:     DMField_DS    *dsfield = (DMField_DS *)field->data;
867:     PetscObject    faceDisc, cellDisc;
868:     PetscClassId   faceId, cellId;
869:     PetscDualSpace dsp;
870:     DM             K;
871:     DMPolytopeType ct;
872:     PetscInt(*co)[2][3];
873:     PetscInt        coneSize;
874:     PetscInt      **counts;
875:     PetscInt        f, i, o, q, s;
876:     PetscBool       found = PETSC_FALSE;
877:     const PetscInt *coneK;
878:     PetscInt        eStart, minOrient, maxOrient, numOrient;
879:     PetscInt       *orients;
880:     PetscReal     **orientPoints;
881:     PetscReal      *cellPoints;
882:     PetscReal      *dummyWeights;
883:     PetscQuadrature cellQuad = NULL;

885:     PetscCall(DMFieldDSGetHeightDisc(field, 1, dsfield->disc, &faceDisc));
886:     PetscCall(DMFieldDSGetHeightDisc(field, 0, dsfield->disc, &cellDisc));
887:     PetscCall(PetscObjectGetClassId(faceDisc, &faceId));
888:     PetscCall(PetscObjectGetClassId(cellDisc, &cellId));
889:     PetscCheck(faceId == PETSCFE_CLASSID && cellId == PETSCFE_CLASSID, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Not supported");
890:     PetscCall(PetscFEGetDualSpace((PetscFE)cellDisc, &dsp));
891:     PetscCall(PetscDualSpaceGetDM(dsp, &K));
892:     PetscCall(DMPlexGetHeightStratum(K, 1, &eStart, NULL));
893:     PetscCall(DMPlexGetCellType(K, eStart, &ct));
894:     PetscCall(DMPlexGetConeSize(K, 0, &coneSize));
895:     PetscCall(DMPlexGetCone(K, 0, &coneK));
896:     PetscCall(PetscMalloc2(numFaces, &co, coneSize, &counts));
897:     PetscCall(PetscMalloc1(dE * Nq, &cellPoints));
898:     PetscCall(PetscMalloc1(Nq, &dummyWeights));
899:     PetscCall(PetscQuadratureCreate(PETSC_COMM_SELF, &cellQuad));
900:     PetscCall(PetscQuadratureSetData(cellQuad, dE, 1, Nq, cellPoints, dummyWeights));
901:     minOrient = PETSC_INT_MAX;
902:     maxOrient = PETSC_INT_MIN;
903:     for (p = 0; p < numFaces; p++) { /* record the orientation of the facet wrt the support cells */
904:       PetscInt        point = points[p];
905:       PetscInt        numSupp, numChildren;
906:       const PetscInt *supp;

908:       PetscCall(DMPlexGetTreeChildren(dm, point, &numChildren, NULL));
909:       PetscCheck(!numChildren, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Face data not valid for facets with children");
910:       PetscCall(DMPlexGetSupportSize(dm, point, &numSupp));
911:       PetscCheck(numSupp <= 2, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Point %" PetscInt_FMT " has %" PetscInt_FMT " support, expected at most 2", point, numSupp);
912:       PetscCall(DMPlexGetSupport(dm, point, &supp));
913:       for (s = 0; s < numSupp; s++) {
914:         PetscInt        cell = supp[s];
915:         PetscInt        numCone;
916:         const PetscInt *cone, *orient;

918:         PetscCall(DMPlexGetConeSize(dm, cell, &numCone));
919:         // When we extract submeshes, we hang cells from the side that are not fully realized. We ignore these
920:         if (numCone == 1) {
921:           co[p][s][0] = -1;
922:           co[p][s][1] = -1;
923:           co[p][s][2] = -1;
924:           continue;
925:         }
926:         PetscCheck(numCone == coneSize, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Support point does not match reference element");
927:         PetscCall(DMPlexGetCone(dm, cell, &cone));
928:         PetscCall(DMPlexGetConeOrientation(dm, cell, &orient));
929:         for (f = 0; f < coneSize; f++) {
930:           if (cone[f] == point) break;
931:         }
932:         co[p][s][0] = f;
933:         co[p][s][1] = orient[f];
934:         co[p][s][2] = cell;
935:         minOrient   = PetscMin(minOrient, orient[f]);
936:         maxOrient   = PetscMax(maxOrient, orient[f]);
937:         found       = PETSC_TRUE;
938:       }
939:       for (; s < 2; s++) {
940:         co[p][s][0] = -1;
941:         co[p][s][1] = -1;
942:         co[p][s][2] = -1;
943:       }
944:     }
945:     numOrient = found ? maxOrient + 1 - minOrient : 0;
946:     PetscCall(DMPlexGetCone(K, 0, &coneK));
947:     /* count all (face,orientation) doubles that appear */
948:     PetscCall(PetscCalloc2(numOrient, &orients, numOrient, &orientPoints));
949:     for (f = 0; f < coneSize; f++) PetscCall(PetscCalloc1(numOrient + 1, &counts[f]));
950:     for (p = 0; p < numFaces; p++) {
951:       for (s = 0; s < 2; s++) {
952:         if (co[p][s][0] >= 0) {
953:           counts[co[p][s][0]][co[p][s][1] - minOrient]++;
954:           orients[co[p][s][1] - minOrient]++;
955:         }
956:       }
957:     }
958:     for (o = 0; o < numOrient; o++) {
959:       if (orients[o]) {
960:         PetscInt orient = o + minOrient;
961:         PetscInt q;

963:         PetscCall(PetscMalloc1(Nq * dim, &orientPoints[o]));
964:         /* rotate the quadrature points appropriately */
965:         switch (ct) {
966:         case DM_POLYTOPE_POINT:
967:           break;
968:         case DM_POLYTOPE_SEGMENT:
969:           if (orient == -2 || orient == 1) {
970:             for (q = 0; q < Nq; q++) orientPoints[o][q] = -geom->xi[q];
971:           } else {
972:             for (q = 0; q < Nq; q++) orientPoints[o][q] = geom->xi[q];
973:           }
974:           break;
975:         case DM_POLYTOPE_TRIANGLE:
976:           for (q = 0; q < Nq; q++) {
977:             PetscReal lambda[3];
978:             PetscReal lambdao[3];

980:             /* convert to barycentric */
981:             lambda[0] = -(geom->xi[2 * q] + geom->xi[2 * q + 1]) / 2.;
982:             lambda[1] = (geom->xi[2 * q] + 1.) / 2.;
983:             lambda[2] = (geom->xi[2 * q + 1] + 1.) / 2.;
984:             if (orient >= 0) {
985:               for (i = 0; i < 3; i++) lambdao[i] = lambda[(orient + i) % 3];
986:             } else {
987:               for (i = 0; i < 3; i++) lambdao[i] = lambda[(-(orient + i) + 3) % 3];
988:             }
989:             /* convert to coordinates */
990:             orientPoints[o][2 * q + 0] = -(lambdao[0] + lambdao[2]) + lambdao[1];
991:             orientPoints[o][2 * q + 1] = -(lambdao[0] + lambdao[1]) + lambdao[2];
992:           }
993:           break;
994:         case DM_POLYTOPE_QUADRILATERAL:
995:           for (q = 0; q < Nq; q++) {
996:             PetscReal xi[2], xio[2];
997:             PetscInt  oabs = (orient >= 0) ? orient : -(orient + 1);

999:             xi[0] = geom->xi[2 * q];
1000:             xi[1] = geom->xi[2 * q + 1];
1001:             switch (oabs) {
1002:             case 1:
1003:               xio[0] = xi[1];
1004:               xio[1] = -xi[0];
1005:               break;
1006:             case 2:
1007:               xio[0] = -xi[0];
1008:               xio[1] = -xi[1];
1009:               break;
1010:             case 3:
1011:               xio[0] = -xi[1];
1012:               xio[1] = xi[0];
1013:               break;
1014:             case 0:
1015:             default:
1016:               xio[0] = xi[0];
1017:               xio[1] = xi[1];
1018:               break;
1019:             }
1020:             if (orient < 0) xio[0] = -xio[0];
1021:             orientPoints[o][2 * q + 0] = xio[0];
1022:             orientPoints[o][2 * q + 1] = xio[1];
1023:           }
1024:           break;
1025:         default:
1026:           SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "Cell type %s not yet supported", DMPolytopeTypes[ct]);
1027:         }
1028:       }
1029:     }
1030:     for (f = 0; f < coneSize; f++) {
1031:       PetscInt  face = coneK[f];
1032:       PetscReal v0[3];
1033:       PetscReal J[9], detJ;
1034:       PetscInt  numCells, offset;
1035:       PetscInt *cells;
1036:       IS        suppIS;

1038:       PetscCall(DMPlexComputeCellGeometryFEM(K, face, NULL, v0, J, NULL, &detJ));
1039:       for (o = 0; o <= numOrient; o++) {
1040:         PetscFEGeom *cellGeom;

1042:         if (!counts[f][o]) continue;
1043:         /* If this (face,orientation) double appears,
1044:          * convert the face quadrature points into volume quadrature points */
1045:         for (q = 0; q < Nq; q++) {
1046:           PetscReal xi0[3] = {-1., -1., -1.};

1048:           CoordinatesRefToReal(dE, dim, xi0, v0, J, &orientPoints[o][dim * q + 0], &cellPoints[dE * q + 0]);
1049:         }
1050:         for (p = 0, numCells = 0; p < numFaces; p++) {
1051:           for (s = 0; s < 2; s++) {
1052:             if (co[p][s][0] == f && co[p][s][1] == o + minOrient) numCells++;
1053:           }
1054:         }
1055:         PetscCall(PetscMalloc1(numCells, &cells));
1056:         for (p = 0, offset = 0; p < numFaces; p++) {
1057:           for (s = 0; s < 2; s++) {
1058:             if (co[p][s][0] == f && co[p][s][1] == o + minOrient) cells[offset++] = co[p][s][2];
1059:           }
1060:         }
1061:         PetscCall(ISCreateGeneral(PETSC_COMM_SELF, numCells, cells, PETSC_USE_POINTER, &suppIS));
1062:         PetscCall(DMFieldCreateFEGeom(field, suppIS, cellQuad, PETSC_FALSE, &cellGeom));
1063:         for (p = 0, offset = 0; p < numFaces; p++) {
1064:           for (s = 0; s < 2; s++) {
1065:             if (co[p][s][0] == f && co[p][s][1] == o + minOrient) {
1066:               for (q = 0; q < Nq * dE * dE; q++) {
1067:                 geom->suppJ[s][p * Nq * dE * dE + q]    = cellGeom->J[offset * Nq * dE * dE + q];
1068:                 geom->suppInvJ[s][p * Nq * dE * dE + q] = cellGeom->invJ[offset * Nq * dE * dE + q];
1069:               }
1070:               for (q = 0; q < Nq; q++) geom->suppDetJ[s][p * Nq + q] = cellGeom->detJ[offset * Nq + q];
1071:               offset++;
1072:             }
1073:           }
1074:         }
1075:         PetscCall(PetscFEGeomDestroy(&cellGeom));
1076:         PetscCall(ISDestroy(&suppIS));
1077:         PetscCall(PetscFree(cells));
1078:       }
1079:     }
1080:     for (o = 0; o < numOrient; o++) {
1081:       if (orients[o]) PetscCall(PetscFree(orientPoints[o]));
1082:     }
1083:     PetscCall(PetscFree2(orients, orientPoints));
1084:     PetscCall(PetscQuadratureDestroy(&cellQuad));
1085:     for (f = 0; f < coneSize; f++) PetscCall(PetscFree(counts[f]));
1086:     PetscCall(PetscFree2(co, counts));
1087:   }
1088:   PetscCall(ISRestoreIndices(pointIS, &points));
1089:   PetscCall(ISDestroy(&cellIS));
1090:   PetscFunctionReturn(PETSC_SUCCESS);
1091: }

1093: static PetscErrorCode DMFieldInitialize_DS(DMField field)
1094: {
1095:   PetscFunctionBegin;
1096:   field->ops->destroy                 = DMFieldDestroy_DS;
1097:   field->ops->evaluate                = DMFieldEvaluate_DS;
1098:   field->ops->evaluateFE              = DMFieldEvaluateFE_DS;
1099:   field->ops->evaluateFV              = DMFieldEvaluateFV_DS;
1100:   field->ops->getDegree               = DMFieldGetDegree_DS;
1101:   field->ops->createDefaultQuadrature = DMFieldCreateDefaultQuadrature_DS;
1102:   field->ops->view                    = DMFieldView_DS;
1103:   field->ops->computeFaceData         = DMFieldComputeFaceData_DS;
1104:   PetscFunctionReturn(PETSC_SUCCESS);
1105: }

1107: PETSC_INTERN PetscErrorCode DMFieldCreate_DS(DMField field)
1108: {
1109:   DMField_DS *dsfield;

1111:   PetscFunctionBegin;
1112:   PetscCall(PetscNew(&dsfield));
1113:   field->data = dsfield;
1114:   PetscCall(DMFieldInitialize_DS(field));
1115:   PetscFunctionReturn(PETSC_SUCCESS);
1116: }

1118: PetscErrorCode DMFieldCreateDSWithDG(DM dm, DM dmDG, PetscInt fieldNum, Vec vec, Vec vecDG, DMField *field)
1119: {
1120:   DMField      b;
1121:   DMField_DS  *dsfield;
1122:   PetscObject  disc = NULL, discDG = NULL;
1123:   PetscSection section;
1124:   PetscBool    isContainer   = PETSC_FALSE;
1125:   PetscClassId id            = -1;
1126:   PetscInt     numComponents = -1, dsNumFields;

1128:   PetscFunctionBegin;
1129:   PetscCall(DMGetLocalSection(dm, &section));
1130:   PetscCall(PetscSectionGetFieldComponents(section, fieldNum, &numComponents));
1131:   PetscCall(DMGetNumFields(dm, &dsNumFields));
1132:   if (dsNumFields) PetscCall(DMGetField(dm, fieldNum, NULL, &disc));
1133:   if (dsNumFields && dmDG) {
1134:     PetscCall(DMGetField(dmDG, fieldNum, NULL, &discDG));
1135:     PetscCall(PetscObjectReference(discDG));
1136:   }
1137:   if (disc) {
1138:     PetscCall(PetscObjectGetClassId(disc, &id));
1139:     isContainer = (id == PETSC_CONTAINER_CLASSID) ? PETSC_TRUE : PETSC_FALSE;
1140:   }
1141:   if (!disc || isContainer) {
1142:     MPI_Comm       comm = PetscObjectComm((PetscObject)dm);
1143:     PetscFE        fe;
1144:     DMPolytopeType ct, locct = DM_POLYTOPE_UNKNOWN;
1145:     PetscInt       dim, cStart, cEnd, cellHeight;

1147:     PetscCall(DMPlexGetVTKCellHeight(dm, &cellHeight));
1148:     PetscCall(DMGetDimension(dm, &dim));
1149:     PetscCall(DMPlexGetHeightStratum(dm, cellHeight, &cStart, &cEnd));
1150:     if (cEnd > cStart) PetscCall(DMPlexGetCellType(dm, cStart, &locct));
1151:     PetscCallMPI(MPIU_Allreduce(&locct, &ct, 1, MPI_INT, MPI_MIN, comm));
1152:     PetscCall(PetscFECreateLagrangeByCell(PETSC_COMM_SELF, dim, numComponents, ct, 1, PETSC_DETERMINE, &fe));
1153:     PetscCall(PetscFEViewFromOptions(fe, NULL, "-field_fe_view"));
1154:     disc = (PetscObject)fe;
1155:   } else PetscCall(PetscObjectReference(disc));
1156:   PetscCall(PetscObjectGetClassId(disc, &id));
1157:   if (id == PETSCFE_CLASSID) PetscCall(PetscFEGetNumComponents((PetscFE)disc, &numComponents));
1158:   else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Cannot determine number of discretization components");
1159:   PetscCall(DMFieldCreate(dm, numComponents, DMFIELD_VERTEX, &b));
1160:   PetscCall(DMFieldSetType(b, DMFIELDDS));
1161:   dsfield           = (DMField_DS *)b->data;
1162:   dsfield->fieldNum = fieldNum;
1163:   PetscCall(DMGetDimension(dm, &dsfield->height));
1164:   dsfield->height++;
1165:   PetscCall(PetscCalloc1(dsfield->height, &dsfield->disc));
1166:   dsfield->disc[0] = disc;
1167:   PetscCall(PetscObjectReference((PetscObject)vec));
1168:   dsfield->vec = vec;
1169:   if (dmDG) {
1170:     dsfield->dmDG = dmDG;
1171:     PetscCall(PetscCalloc1(dsfield->height, &dsfield->discDG));
1172:     dsfield->discDG[0] = discDG;
1173:     PetscCall(PetscObjectReference((PetscObject)vecDG));
1174:     dsfield->vecDG = vecDG;
1175:   }
1176:   *field = b;
1177:   PetscFunctionReturn(PETSC_SUCCESS);
1178: }

1180: PetscErrorCode DMFieldCreateDS(DM dm, PetscInt fieldNum, Vec vec, DMField *field)
1181: {
1182:   PetscFunctionBegin;
1183:   PetscCall(DMFieldCreateDSWithDG(dm, NULL, fieldNum, vec, NULL, field));
1184:   PetscFunctionReturn(PETSC_SUCCESS);
1185: }