Actual source code: dmfieldds.c

petsc-3.10.3 2018-12-18
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  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: {
  9:   PetscInt    fieldNum;
 10:   Vec         vec;
 11:   PetscInt    height;
 12:   PetscObject *disc;
 13:   PetscBool   multifieldVec;
 14: }
 15: DMField_DS;

 17: static PetscErrorCode DMFieldDestroy_DS(DMField field)
 18: {
 19:   DMField_DS     *dsfield;
 20:   PetscInt       i;

 24:   dsfield = (DMField_DS *) field->data;
 25:   VecDestroy(&dsfield->vec);
 26:   for (i = 0; i < dsfield->height; i++) {
 27:     PetscObjectDereference(dsfield->disc[i]);
 28:   }
 29:   PetscFree(dsfield->disc);
 30:   PetscFree(dsfield);
 31:   return(0);
 32: }

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

 42:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);
 43:   disc = dsfield->disc[0];
 44:   if (iascii) {
 45:     PetscViewerASCIIPrintf(viewer, "PetscDS field %D\n",dsfield->fieldNum);
 46:     PetscViewerASCIIPushTab(viewer);
 47:     PetscObjectView(disc,viewer);
 48:     PetscViewerASCIIPopTab(viewer);
 49:   }
 50:   PetscViewerASCIIPushTab(viewer);
 51:   if (dsfield->multifieldVec) {
 52:     SETERRQ(PetscObjectComm((PetscObject)field),PETSC_ERR_SUP,"View of subfield not implemented yet");
 53:   } else {
 54:     VecView(dsfield->vec,viewer);
 55:   }
 56:   PetscViewerASCIIPopTab(viewer);
 57:   return(0);
 58: }

 60: static PetscErrorCode DMFieldDSGetHeightDisc(DMField field, PetscInt height, PetscObject *disc)
 61: {
 62:   DMField_DS     *dsfield = (DMField_DS *) field->data;

 66:   if (!dsfield->disc[height]) {
 67:     PetscClassId   id;

 69:     PetscObjectGetClassId(dsfield->disc[0],&id);
 70:     if (id == PETSCFE_CLASSID) {
 71:       PetscFE fe = (PetscFE) dsfield->disc[0];

 73:       PetscFECreateHeightTrace(fe,height,(PetscFE *)&dsfield->disc[height]);
 74:     }
 75:   }
 76:   *disc = dsfield->disc[height];
 77:   return(0);
 78: }

 80: #define DMFieldDSdot(y,A,b,m,n,c,cast)                                           \
 81:   do {                                                                           \
 82:     PetscInt _i, _j, _k;                                                         \
 83:     for (_i = 0; _i < (m); _i++) {                                               \
 84:       for (_k = 0; _k < (c); _k++) {                                             \
 85:         (y)[_i * (c) + _k] = 0.;                                                 \
 86:       }                                                                          \
 87:       for (_j = 0; _j < (n); _j++) {                                             \
 88:         for (_k = 0; _k < (c); _k++) {                                           \
 89:           (y)[_i * (c) + _k] += (A)[(_i * (n) + _j) * (c) + _k] * cast((b)[_j]); \
 90:         }                                                                        \
 91:       }                                                                          \
 92:     }                                                                            \
 93:   } while (0)

 95: static PetscErrorCode DMFieldEvaluateFE_DS(DMField field, IS pointIS, PetscQuadrature quad, PetscDataType type, void *B, void *D, void *H)
 96: {
 97:   DMField_DS      *dsfield = (DMField_DS *) field->data;
 98:   DM              dm;
 99:   PetscObject     disc;
100:   PetscClassId    classid;
101:   PetscInt        nq, nc, dim, meshDim, numCells;
102:   PetscSection    section;
103:   const PetscReal *qpoints;
104:   PetscBool       isStride;
105:   const PetscInt  *points = NULL;
106:   PetscInt        sfirst = -1, stride = -1;
107:   PetscErrorCode  ierr;

110:   dm   = field->dm;
111:   nc   = field->numComponents;
112:   PetscQuadratureGetData(quad,&dim,NULL,&nq,&qpoints,NULL);
113:   DMFieldDSGetHeightDisc(field,dsfield->height - 1 - dim,&disc);
114:   DMGetDimension(dm,&meshDim);
115:   DMGetDefaultSection(dm,&section);
116:   PetscSectionGetField(section,dsfield->fieldNum,&section);
117:   PetscObjectGetClassId(disc,&classid);
118:   /* TODO: batch */
119:   PetscObjectTypeCompare((PetscObject)pointIS,ISSTRIDE,&isStride);
120:   ISGetLocalSize(pointIS,&numCells);
121:   if (isStride) {
122:     ISStrideGetInfo(pointIS,&sfirst,&stride);
123:   } else {
124:     ISGetIndices(pointIS,&points);
125:   }
126:   if (classid == PETSCFE_CLASSID) {
127:     PetscFE      fe = (PetscFE) disc;
128:     PetscInt     feDim, i;
129:     PetscReal    *fB = NULL, *fD = NULL, *fH = NULL;

131:     PetscFEGetDimension(fe,&feDim);
132:     PetscFEGetTabulation(fe,nq,qpoints,B ? &fB : NULL,D ? &fD : NULL,H ? &fH : NULL);
133:     for (i = 0; i < numCells; i++) {
134:       PetscInt     c = isStride ? (sfirst + i * stride) : points[i];
135:       PetscInt     closureSize;
136:       PetscScalar *elem = NULL;

138:       DMPlexVecGetClosure(dm,section,dsfield->vec,c,&closureSize,&elem);
139:       if (B) {
140:         if (type == PETSC_SCALAR) {
141:           PetscScalar *cB = &((PetscScalar *) B)[nc * nq * i];

143:           DMFieldDSdot(cB,fB,elem,nq,feDim,nc,(PetscScalar));
144:         } else {
145:           PetscReal *cB = &((PetscReal *) B)[nc * nq * i];

147:           DMFieldDSdot(cB,fB,elem,nq,feDim,nc,PetscRealPart);
148:         }
149:       }
150:       if (D) {
151:         if (type == PETSC_SCALAR) {
152:           PetscScalar *cD = &((PetscScalar *) D)[nc * nq * dim * i];

154:           DMFieldDSdot(cD,fD,elem,nq,feDim,(nc * dim),(PetscScalar));
155:         } else {
156:           PetscReal *cD = &((PetscReal *) D)[nc * nq * dim * i];

158:           DMFieldDSdot(cD,fD,elem,nq,feDim,(nc * dim),PetscRealPart);
159:         }
160:       }
161:       if (H) {
162:         if (type == PETSC_SCALAR) {
163:           PetscScalar *cH = &((PetscScalar *) H)[nc * nq * dim * dim * i];

165:           DMFieldDSdot(cH,fH,elem,nq,feDim,(nc * dim * dim),(PetscScalar));
166:         } else {
167:           PetscReal *cH = &((PetscReal *) H)[nc * nq * dim * dim * i];

169:           DMFieldDSdot(cH,fH,elem,nq,feDim,(nc * dim * dim),PetscRealPart);
170:         }
171:       }
172:       DMPlexVecRestoreClosure(dm,section,dsfield->vec,c,&closureSize,&elem);
173:     }
174:     PetscFERestoreTabulation(fe,nq,qpoints,B ? &fB : NULL,D ? &fD : NULL,H ? &fH : NULL);
175:   } else {SETERRQ(PetscObjectComm((PetscObject)field),PETSC_ERR_SUP,"Not implemented");}
176:   if (!isStride) {
177:     ISRestoreIndices(pointIS,&points);
178:   }
179:   PetscSectionDestroy(&section);
180:   return(0);
181: }

183: static PetscErrorCode DMFieldEvaluate_DS(DMField field, Vec points, PetscDataType datatype, void *B, void *D, void *H)
184: {
185:   DMField_DS        *dsfield = (DMField_DS *) field->data;
186:   PetscSF            cellSF = NULL;
187:   const PetscSFNode *cells;
188:   PetscInt           c, nFound, numCells, feDim, nc;
189:   const PetscInt    *cellDegrees;
190:   const PetscScalar *pointsArray;
191:   PetscScalar       *cellPoints;
192:   PetscInt           gatherSize, gatherMax;
193:   PetscInt           dim, dimR, offset;
194:   MPI_Datatype       pointType;
195:   PetscObject        cellDisc;
196:   PetscFE            cellFE;
197:   PetscClassId       discID;
198:   PetscReal         *coordsReal, *coordsRef;
199:   PetscSection       section;
200:   PetscScalar       *cellBs = NULL, *cellDs = NULL, *cellHs = NULL;
201:   PetscReal         *cellBr = NULL, *cellDr = NULL, *cellHr = NULL;
202:   PetscReal         *v, *J, *invJ, *detJ;
203:   PetscErrorCode     ierr;

206:   nc   = field->numComponents;
207:   DMGetDefaultSection(field->dm,&section);
208:   DMFieldDSGetHeightDisc(field,0,&cellDisc);
209:   PetscObjectGetClassId(cellDisc, &discID);
210:   if (discID != PETSCFE_CLASSID) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB, "Discretization type not supported\n");
211:   cellFE = (PetscFE) cellDisc;
212:   PetscFEGetDimension(cellFE,&feDim);
213:   DMGetCoordinateDim(field->dm, &dim);
214:   DMGetDimension(field->dm, &dimR);
215:   DMLocatePoints(field->dm, points, DM_POINTLOCATION_NONE, &cellSF);
216:   PetscSFGetGraph(cellSF, &numCells, &nFound, NULL, &cells);
217:   for (c = 0; c < nFound; c++) {
218:     if (cells[c].index < 0) SETERRQ1(PetscObjectComm((PetscObject)points),PETSC_ERR_ARG_WRONG, "Point %D could not be located\n", c);
219:   }
220:   PetscSFComputeDegreeBegin(cellSF,&cellDegrees);
221:   PetscSFComputeDegreeEnd(cellSF,&cellDegrees);
222:   for (c = 0, gatherSize = 0, gatherMax = 0; c < numCells; c++) {
223:     gatherMax = PetscMax(gatherMax,cellDegrees[c]);
224:     gatherSize += cellDegrees[c];
225:   }
226:   PetscMalloc3(gatherSize*dim,&cellPoints,gatherMax*dim,&coordsReal,gatherMax*dimR,&coordsRef);
227:   PetscMalloc4(gatherMax*dimR,&v,gatherMax*dimR*dimR,&J,gatherMax*dimR*dimR,&invJ,gatherMax,&detJ);
228:   if (datatype == PETSC_SCALAR) {
229:     PetscMalloc3(B ? nc * gatherSize : 0, &cellBs, D ? nc * dim * gatherSize : 0, &cellDs, H ? nc * dim * dim * gatherSize : 0, &cellHs);
230:   } else {
231:     PetscMalloc3(B ? nc * gatherSize : 0, &cellBr, D ? nc * dim * gatherSize : 0, &cellDr, H ? nc * dim * dim * gatherSize : 0, &cellHr);
232:   }

234:   MPI_Type_contiguous(dim,MPIU_SCALAR,&pointType);
235:   MPI_Type_commit(&pointType);
236:   VecGetArrayRead(points,&pointsArray);
237:   PetscSFGatherBegin(cellSF, pointType, pointsArray, cellPoints);
238:   PetscSFGatherEnd(cellSF, pointType, pointsArray, cellPoints);
239:   VecRestoreArrayRead(points,&pointsArray);
240:   for (c = 0, offset = 0; c < numCells; c++) {
241:     PetscInt nq = cellDegrees[c], p;

243:     if (nq) {
244:       PetscReal *fB, *fD, *fH;
245:       PetscInt     closureSize;
246:       PetscScalar *elem = NULL;
247:       PetscReal   *quadPoints;
248:       PetscQuadrature quad;
249:       PetscInt d, e, f, g;

251:       for (p = 0; p < dim * nq; p++) coordsReal[p] = PetscRealPart(cellPoints[dim * offset + p]);
252:       DMPlexCoordinatesToReference(field->dm, c, nq, coordsReal, coordsRef);
253:       PetscFEGetTabulation(cellFE,nq,coordsRef,B ? &fB : NULL,D ? &fD : NULL,H ? &fH : NULL);
254:       PetscQuadratureCreate(PETSC_COMM_SELF, &quad);
255:       PetscMalloc1(dimR * nq, &quadPoints);
256:       for (p = 0; p < dimR * nq; p++) quadPoints[p] = coordsRef[p];
257:       PetscQuadratureSetData(quad, dimR, 0, nq, quadPoints, NULL);
258:       DMPlexComputeCellGeometryFEM(field->dm, c, quad, v, J, invJ, detJ);
259:       PetscQuadratureDestroy(&quad);
260:       DMPlexVecGetClosure(field->dm,section,dsfield->vec,c,&closureSize,&elem);
261:       if (B) {
262:         if (datatype == PETSC_SCALAR) {
263:           PetscScalar *cB = &cellBs[nc * offset];

265:           DMFieldDSdot(cB,fB,elem,nq,feDim,nc,(PetscScalar));
266:         } else {
267:           PetscReal *cB = &cellBr[nc * offset];

269:           DMFieldDSdot(cB,fB,elem,nq,feDim,nc,PetscRealPart);
270:         }
271:       }
272:       if (D) {
273:         if (datatype == PETSC_SCALAR) {
274:           PetscScalar *cD = &cellDs[nc * dim * offset];

276:           DMFieldDSdot(cD,fD,elem,nq,feDim,(nc * dim),(PetscScalar));
277:           for (p = 0; p < nq; p++) {
278:             for (g = 0; g < nc; g++) {
279:               PetscScalar vs[3];

281:               for (d = 0; d < dimR; d++) {
282:                 vs[d] = 0.;
283:                 for (e = 0; e < dimR; e++) {
284:                   vs[d] += invJ[dimR * dimR * p + e * dimR + d] * cD[(nc * p + g) * dimR + e];
285:                 }
286:               }
287:               for (d = 0; d < dimR; d++) {
288:                 cD[(nc * p + g) * dimR + d] = vs[d];
289:               }
290:             }
291:           }
292:         } else {
293:           PetscReal *cD = &cellDr[nc * dim * offset];

295:           DMFieldDSdot(cD,fD,elem,nq,feDim,(nc * dim),PetscRealPart);
296:           for (p = 0; p < nq; p++) {
297:             for (g = 0; g < nc; g++) {
298:               for (d = 0; d < dimR; d++) {
299:                 v[d] = 0.;
300:                 for (e = 0; e < dimR; e++) {
301:                   v[d] += invJ[dimR * dimR * p + e * dimR + d] * cD[(nc * p + g) * dimR + e];
302:                 }
303:               }
304:               for (d = 0; d < dimR; d++) {
305:                 cD[(nc * p + g) * dimR + d] = v[d];
306:               }
307:             }
308:           }
309:         }
310:       }
311:       if (H) {
312:         if (datatype == PETSC_SCALAR) {
313:           PetscScalar *cH = &cellHs[nc * dim * dim * offset];

315:           DMFieldDSdot(cH,fH,elem,nq,feDim,(nc * dim * dim),(PetscScalar));
316:           for (p = 0; p < nq; p++) {
317:             for (g = 0; g < nc * dimR; g++) {
318:               PetscScalar vs[3];

320:               for (d = 0; d < dimR; d++) {
321:                 vs[d] = 0.;
322:                 for (e = 0; e < dimR; e++) {
323:                   vs[d] += invJ[dimR * dimR * p + e * dimR + d] * cH[(nc * dimR * p + g) * dimR + e];
324:                 }
325:               }
326:               for (d = 0; d < dimR; d++) {
327:                 cH[(nc * dimR * p + g) * dimR + d] = vs[d];
328:               }
329:             }
330:             for (g = 0; g < nc; g++) {
331:               for (f = 0; f < dimR; f++) {
332:                 PetscScalar vs[3];

334:                 for (d = 0; d < dimR; d++) {
335:                   vs[d] = 0.;
336:                   for (e = 0; e < dimR; e++) {
337:                     vs[d] += invJ[dimR * dimR * p + e * dimR + d] * cH[((nc * p + g) * dimR + e) * dimR + f];
338:                   }
339:                 }
340:                 for (d = 0; d < dimR; d++) {
341:                   cH[((nc * p + g) * dimR + d) * dimR + f] = vs[d];
342:                 }
343:               }
344:             }
345:           }
346:         } else {
347:           PetscReal *cH = &cellHr[nc * dim * dim * offset];

349:           DMFieldDSdot(cH,fH,elem,nq,feDim,(nc * dim * dim),PetscRealPart);
350:           for (p = 0; p < nq; p++) {
351:             for (g = 0; g < nc * dimR; g++) {
352:               for (d = 0; d < dimR; d++) {
353:                 v[d] = 0.;
354:                 for (e = 0; e < dimR; e++) {
355:                   v[d] += invJ[dimR * dimR * p + e * dimR + d] * cH[(nc * dimR * p + g) * dimR + e];
356:                 }
357:               }
358:               for (d = 0; d < dimR; d++) {
359:                 cH[(nc * dimR * p + g) * dimR + d] = v[d];
360:               }
361:             }
362:             for (g = 0; g < nc; g++) {
363:               for (f = 0; f < dimR; f++) {
364:                 for (d = 0; d < dimR; d++) {
365:                   v[d] = 0.;
366:                   for (e = 0; e < dimR; e++) {
367:                     v[d] += invJ[dimR * dimR * p + e * dimR + d] * cH[((nc * p + g) * dimR + e) * dimR + f];
368:                   }
369:                 }
370:                 for (d = 0; d < dimR; d++) {
371:                   cH[((nc * p + g) * dimR + d) * dimR + f] = v[d];
372:                 }
373:               }
374:             }
375:           }
376:         }
377:       }
378:       DMPlexVecRestoreClosure(field->dm,section,dsfield->vec,c,&closureSize,&elem);
379:       PetscFERestoreTabulation(cellFE,nq,coordsRef,B ? &fB : NULL,D ? &fD : NULL,H ? &fH : NULL);
380:     }
381:     offset += nq;
382:   }
383:   {
384:     MPI_Datatype origtype;

386:     if (datatype == PETSC_SCALAR) {
387:       origtype = MPIU_SCALAR;
388:     } else {
389:       origtype = MPIU_REAL;
390:     }
391:     if (B) {
392:       MPI_Datatype Btype;

394:       MPI_Type_contiguous(nc, origtype, &Btype);
395:       MPI_Type_commit(&Btype);
396:       PetscSFScatterBegin(cellSF,Btype,(datatype == PETSC_SCALAR) ? (void *) cellBs : (void *) cellBr, B);
397:       PetscSFScatterEnd(cellSF,Btype,(datatype == PETSC_SCALAR) ? (void *) cellBs : (void *) cellBr, B);
398:       MPI_Type_free(&Btype);
399:     }
400:     if (D) {
401:       MPI_Datatype Dtype;

403:       MPI_Type_contiguous(nc * dim, origtype, &Dtype);
404:       MPI_Type_commit(&Dtype);
405:       PetscSFScatterBegin(cellSF,Dtype,(datatype == PETSC_SCALAR) ? (void *) cellDs : (void *) cellDr, D);
406:       PetscSFScatterEnd(cellSF,Dtype,(datatype == PETSC_SCALAR) ? (void *) cellDs : (void *) cellDr, D);
407:       MPI_Type_free(&Dtype);
408:     }
409:     if (H) {
410:       MPI_Datatype Htype;

412:       MPI_Type_contiguous(nc * dim * dim, origtype, &Htype);
413:       MPI_Type_commit(&Htype);
414:       PetscSFScatterBegin(cellSF,Htype,(datatype == PETSC_SCALAR) ? (void *) cellHs : (void *) cellHr, H);
415:       PetscSFScatterEnd(cellSF,Htype,(datatype == PETSC_SCALAR) ? (void *) cellHs : (void *) cellHr, H);
416:       MPI_Type_free(&Htype);
417:     }
418:   }
419:   PetscFree4(v,J,invJ,detJ);
420:   PetscFree3(cellBr, cellDr, cellHr);
421:   PetscFree3(cellBs, cellDs, cellHs);
422:   PetscFree3(cellPoints,coordsReal,coordsRef);
423:   MPI_Type_free(&pointType);
424:   PetscSFDestroy(&cellSF);
425:   return(0);
426: }

428: static PetscErrorCode DMFieldEvaluateFV_DS(DMField field, IS pointIS, PetscDataType type, void *B, void *D, void *H)
429: {
430:   DMField_DS      *dsfield = (DMField_DS *) field->data;
431:   PetscInt         h, imin;
432:   PetscInt         dim;
433:   PetscClassId     id;
434:   PetscQuadrature  quad = NULL;
435:   PetscInt         maxDegree;
436:   PetscFEGeom      *geom;
437:   PetscInt         Nq, Nc, dimC, qNc, N;
438:   PetscInt         numPoints;
439:   void            *qB = NULL, *qD = NULL, *qH = NULL;
440:   const PetscReal *weights;
441:   MPI_Datatype     mpitype = type == PETSC_SCALAR ? MPIU_SCALAR : MPIU_REAL;
442:   PetscObject      disc;
443:   DMField          coordField;
444:   PetscErrorCode   ierr;

447:   Nc = field->numComponents;
448:   DMGetCoordinateDim(field->dm, &dimC);
449:   DMGetDimension(field->dm, &dim);
450:   ISGetLocalSize(pointIS, &numPoints);
451:   ISGetMinMax(pointIS,&imin,NULL);
452:   for (h = 0; h < dsfield->height; h++) {
453:     PetscInt hEnd;

455:     DMPlexGetHeightStratum(field->dm,h,NULL,&hEnd);
456:     if (imin < hEnd) break;
457:   }
458:   dim -= h;
459:   DMFieldDSGetHeightDisc(field,h,&disc);
460:   PetscObjectGetClassId(disc,&id);
461:   if (id != PETSCFE_CLASSID) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Discretization not supported\n");
462:   DMGetCoordinateField(field->dm, &coordField);
463:   DMFieldGetDegree(coordField, pointIS, NULL, &maxDegree);
464:   if (maxDegree <= 1) {
465:     DMFieldCreateDefaultQuadrature(coordField, pointIS, &quad);
466:   }
467:   if (!quad) {DMFieldCreateDefaultQuadrature(field, pointIS, &quad);}
468:   if (!quad) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Could not determine quadrature for cell averages\n");
469:   DMFieldCreateFEGeom(coordField,pointIS,quad,PETSC_FALSE,&geom);
470:   PetscQuadratureGetData(quad, NULL, &qNc, &Nq, NULL, &weights);
471:   if (qNc != 1) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Expected scalar quadrature components\n");
472:   N = numPoints * Nq * Nc;
473:   if (B) DMGetWorkArray(field->dm, N, mpitype, &qB);
474:   if (D) DMGetWorkArray(field->dm, N * dimC, mpitype, &qD);
475:   if (H) DMGetWorkArray(field->dm, N * dimC * dimC, mpitype, &qH);
476:   DMFieldEvaluateFE(field,pointIS,quad,type,qB,qD,qH);
477:   if (B) {
478:     PetscInt i, j, k;

480:     if (type == PETSC_SCALAR) {
481:       PetscScalar * sB  = (PetscScalar *) B;
482:       PetscScalar * sqB = (PetscScalar *) qB;

484:       for (i = 0; i < numPoints; i++) {
485:         PetscReal vol = 0.;

487:         for (j = 0; j < Nc; j++) {sB[i * Nc + j] = 0.;}
488:         for (k = 0; k < Nq; k++) {
489:           vol += geom->detJ[i * Nq + k] * weights[k];
490:           for (j = 0; j < Nc; j++) {
491:             sB[i * Nc + j] += geom->detJ[i * Nq + k] * weights[k] * sqB[ (i * Nq + k) * Nc + j];
492:           }
493:         }
494:         for (k = 0; k < Nq * Nc; k++) sB[i * Nq * Nc + k] /= vol;
495:       }
496:     } else {
497:       PetscReal * rB  = (PetscReal *) B;
498:       PetscReal * rqB = (PetscReal *) qB;

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

503:         for (j = 0; j < Nc; j++) {rB[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++) {
507:             rB[i * Nc + j] += weights[k] * rqB[ (i * Nq + k) * Nc + j];
508:           }
509:         }
510:         for (k = 0; k < Nc; k++) rB[i * Nc + k] /= vol;
511:       }
512:     }
513:   }
514:   if (D) {
515:     PetscInt i, j, k, l, m;

517:     if (type == PETSC_SCALAR) {
518:       PetscScalar * sD  = (PetscScalar *) D;
519:       PetscScalar * sqD = (PetscScalar *) qD;

521:       for (i = 0; i < numPoints; i++) {
522:         PetscReal vol = 0.;

524:         for (j = 0; j < Nc * dimC; j++) {sD[i * Nc * dimC + j] = 0.;}
525:         for (k = 0; k < Nq; k++) {
526:           vol += geom->detJ[i * Nq + k] * weights[k];
527:           for (j = 0; j < Nc; j++) {
528:             PetscScalar pD[3] = {0.,0.,0.};

530:             for (l = 0; l < dimC; l++) {
531:               for (m = 0; m < dim; m++) {
532:                 pD[l] += geom->invJ[((i * Nq + k) * dimC + m) * dimC + l] * sqD[((i * Nq + k) * Nc + j) * dim + m];
533:               }
534:             }
535:             for (l = 0; l < dimC; l++) {
536:               sD[(i * Nc + j) * dimC + l] += geom->detJ[i * Nq + k] * weights[k] * pD[l];
537:             }
538:           }
539:         }
540:         for (k = 0; k < Nc * dimC; k++) sD[i * Nc * dimC + k] /= vol;
541:       }
542:     } else {
543:       PetscReal * rD  = (PetscReal *) D;
544:       PetscReal * rqD = (PetscReal *) qD;

546:       for (i = 0; i < numPoints; i++) {
547:         PetscReal vol = 0.;

549:         for (j = 0; j < Nc * dimC; j++) {rD[i * Nc * dimC + j] = 0.;}
550:         for (k = 0; k < Nq; k++) {
551:           vol += geom->detJ[i * Nq + k] * weights[k];
552:           for (j = 0; j < Nc; j++) {
553:             PetscReal pD[3] = {0.,0.,0.};

555:             for (l = 0; l < dimC; l++) {
556:               for (m = 0; m < dim; m++) {
557:                 pD[l] += geom->invJ[((i * Nq + k) * dimC + m) * dimC + l] * rqD[((i * Nq + k) * Nc + j) * dim + m];
558:               }
559:             }
560:             for (l = 0; l < dimC; l++) {
561:               rD[(i * Nc + j) * dimC + l] += geom->detJ[i * Nq + k] * weights[k] * pD[l];
562:             }
563:           }
564:         }
565:         for (k = 0; k < Nc * dimC; k++) rD[i * Nc * dimC + k] /= vol;
566:       }
567:     }
568:   }
569:   if (H) {
570:     PetscInt i, j, k, l, m, q, r;

572:     if (type == PETSC_SCALAR) {
573:       PetscScalar * sH  = (PetscScalar *) H;
574:       PetscScalar * sqH = (PetscScalar *) qH;

576:       for (i = 0; i < numPoints; i++) {
577:         PetscReal vol = 0.;

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

583:           vol += geom->detJ[i * Nq + k] * weights[k];
584:           for (j = 0; j < Nc; j++) {
585:             PetscScalar pH[3][3] = {{0.,0.,0.},{0.,0.,0.},{0.,0.,0.}};
586:             const PetscScalar *spH = &sqH[((i * Nq + k) * Nc + j) * dimC * dimC];

588:             for (l = 0; l < dimC; l++) {
589:               for (m = 0; m < dimC; m++) {
590:                 for (q = 0; q < dim; q++) {
591:                   for (r = 0; r < dim; r++) {
592:                     pH[l][m] += invJ[q * dimC + l] * invJ[r * dimC + m] * spH[q * dim + r];
593:                   }
594:                 }
595:               }
596:             }
597:             for (l = 0; l < dimC; l++) {
598:               for (m = 0; m < dimC; m++) {
599:                 sH[(i * Nc + j) * dimC * dimC + l * dimC + m] += geom->detJ[i * Nq + k] * weights[k] * pH[l][m];
600:               }
601:             }
602:           }
603:         }
604:         for (k = 0; k < Nc * dimC * dimC; k++) sH[i * Nc * dimC * dimC + k] /= vol;
605:       }
606:     } else {
607:       PetscReal * rH  = (PetscReal *) H;
608:       PetscReal * rqH = (PetscReal *) qH;

610:       for (i = 0; i < numPoints; i++) {
611:         PetscReal vol = 0.;

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

617:           vol += geom->detJ[i * Nq + k] * weights[k];
618:           for (j = 0; j < Nc; j++) {
619:             PetscReal pH[3][3] = {{0.,0.,0.},{0.,0.,0.},{0.,0.,0.}};
620:             const PetscReal *rpH = &rqH[((i * Nq + k) * Nc + j) * dimC * dimC];

622:             for (l = 0; l < dimC; l++) {
623:               for (m = 0; m < dimC; m++) {
624:                 for (q = 0; q < dim; q++) {
625:                   for (r = 0; r < dim; r++) {
626:                     pH[l][m] += invJ[q * dimC + l] * invJ[r * dimC + m] * rpH[q * dim + r];
627:                   }
628:                 }
629:               }
630:             }
631:             for (l = 0; l < dimC; l++) {
632:               for (m = 0; m < dimC; m++) {
633:                 rH[(i * Nc + j) * dimC * dimC + l * dimC + m] += geom->detJ[i * Nq + k] * weights[k] * pH[l][m];
634:               }
635:             }
636:           }
637:         }
638:         for (k = 0; k < Nc * dimC * dimC; k++) rH[i * Nc * dimC * dimC + k] /= vol;
639:       }
640:     }
641:   }
642:   if (B) DMRestoreWorkArray(field->dm, N, mpitype, &qB);
643:   if (D) DMRestoreWorkArray(field->dm, N * dimC, mpitype, &qD);
644:   if (H) DMRestoreWorkArray(field->dm, N * dimC * dimC, mpitype, &qH);
645:   PetscFEGeomDestroy(&geom);
646:   PetscQuadratureDestroy(&quad);
647:   return(0);
648: }

650: static PetscErrorCode DMFieldGetDegree_DS(DMField field, IS pointIS, PetscInt *minDegree, PetscInt *maxDegree)
651: {
652:   DMField_DS     *dsfield;
653:   PetscObject    disc;
654:   PetscInt       h, imin, imax;
655:   PetscClassId   id;

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

667:       DMPlexGetHeightStratum(field->dm,h,NULL,&hEnd);
668:       if (imin < hEnd) break;
669:     }
670:   }
671:   DMFieldDSGetHeightDisc(field,h,&disc);
672:   PetscObjectGetClassId(disc,&id);
673:   if (id == PETSCFE_CLASSID) {
674:     PetscFE    fe = (PetscFE) disc;
675:     PetscSpace sp;

677:     PetscFEGetBasisSpace(fe, &sp);
678:     PetscSpaceGetDegree(sp, minDegree, maxDegree);
679:   }
680:   return(0);
681: }

683: static PetscErrorCode DMFieldCreateDefaultQuadrature_DS(DMField field, IS pointIS, PetscQuadrature *quad)
684: {
685:   PetscInt       h, dim, imax, imin, cellHeight;
686:   DM             dm;
687:   DMField_DS     *dsfield;
688:   PetscObject    disc;
689:   PetscFE        fe;
690:   PetscClassId   id;


695:   dm = field->dm;
696:   dsfield = (DMField_DS *) field->data;
697:   ISGetMinMax(pointIS,&imin,&imax);
698:   DMGetDimension(dm,&dim);
699:   for (h = 0; h <= dim; h++) {
700:     PetscInt hStart, hEnd;

702:     DMPlexGetHeightStratum(dm,h,&hStart,&hEnd);
703:     if (imax >= hStart && imin < hEnd) break;
704:   }
705:   DMPlexGetVTKCellHeight(dm, &cellHeight);
706:   h -= cellHeight;
707:   *quad = NULL;
708:   if (h < dsfield->height) {
709:     DMFieldDSGetHeightDisc(field,h,&disc);
710:     PetscObjectGetClassId(disc,&id);
711:     if (id != PETSCFE_CLASSID) return(0);
712:     fe = (PetscFE) disc;
713:     PetscFEGetQuadrature(fe,quad);
714:     PetscObjectReference((PetscObject)*quad);
715:   }
716:   return(0);
717: }

719: static PetscErrorCode DMFieldComputeFaceData_DS(DMField field, IS pointIS, PetscQuadrature quad, PetscFEGeom *geom)
720: {
721:   const PetscInt *points;
722:   PetscInt        p, dim, dE, numFaces, Nq;
723:   PetscInt        maxDegree;
724:   DMLabel         depthLabel;
725:   IS              cellIS;
726:   DM              dm = field->dm;
727:   PetscErrorCode  ierr;

730:   dim = geom->dim;
731:   dE  = geom->dimEmbed;
732:   DMPlexGetDepthLabel(dm, &depthLabel);
733:   DMLabelGetStratumIS(depthLabel, dim + 1, &cellIS);
734:   DMFieldGetDegree(field,cellIS,NULL,&maxDegree);
735:   ISGetIndices(pointIS, &points);
736:   numFaces = geom->numCells;
737:   Nq = geom->numPoints;
738:   if (maxDegree <= 1) {
739:     PetscInt        numCells, offset, *cells;
740:     PetscFEGeom     *cellGeom;
741:     IS              suppIS;
742:     PetscQuadrature cellQuad = NULL;

744:     DMFieldCreateDefaultQuadrature(field,cellIS,&cellQuad);
745:     for (p = 0, numCells = 0; p < numFaces; p++) {
746:       PetscInt        point = points[p];
747:       PetscInt        numSupp, numChildren;

749:       DMPlexGetTreeChildren(dm, point, &numChildren, NULL);
750:       if (numChildren) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Face data not valid for facets with children");
751:       DMPlexGetSupportSize(dm, point,&numSupp);
752:       if (numSupp > 2) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Point %D has %D support, expected at most 2\n", point, numSupp);
753:       numCells += numSupp;
754:     }
755:     PetscMalloc1(numCells, &cells);
756:     for (p = 0, offset = 0; p < numFaces; p++) {
757:       PetscInt        point = points[p];
758:       PetscInt        numSupp, s;
759:       const PetscInt *supp;

761:       DMPlexGetSupportSize(dm, point,&numSupp);
762:       DMPlexGetSupport(dm, point, &supp);
763:       for (s = 0; s < numSupp; s++, offset++) {
764:         cells[offset] = supp[s];
765:       }
766:     }
767:     ISCreateGeneral(PETSC_COMM_SELF,numCells,cells,PETSC_USE_POINTER, &suppIS);
768:     DMFieldCreateFEGeom(field,suppIS,cellQuad,PETSC_FALSE,&cellGeom);
769:     for (p = 0, offset = 0; p < numFaces; p++) {
770:       PetscInt        point = points[p];
771:       PetscInt        numSupp, s, q;
772:       const PetscInt *supp;

774:       DMPlexGetSupportSize(dm, point,&numSupp);
775:       DMPlexGetSupport(dm, point, &supp);
776:       for (s = 0; s < numSupp; s++, offset++) {
777:         for (q = 0; q < Nq * dE * dE; q++) {
778:           geom->suppInvJ[s][p * Nq * dE * dE + q] = cellGeom->invJ[offset * Nq * dE * dE + q];
779:         }
780:       }
781:     }
782:     PetscFEGeomDestroy(&cellGeom);
783:     ISDestroy(&suppIS);
784:     PetscFree(cells);
785:     PetscQuadratureDestroy(&cellQuad);
786:   } else {
787:     PetscObject          faceDisc, cellDisc;
788:     PetscClassId         faceId, cellId;
789:     PetscDualSpace       dsp;
790:     DM                   K;
791:     PetscInt           (*co)[2][3];
792:     PetscInt             coneSize;
793:     PetscInt           **counts;
794:     PetscInt             f, i, o, q, s;
795:     const PetscInt      *coneK;
796:     PetscInt             minOrient, maxOrient, numOrient;
797:     PetscInt            *orients;
798:     PetscReal          **orientPoints;
799:     PetscReal           *cellPoints;
800:     PetscReal           *dummyWeights;
801:     PetscQuadrature      cellQuad = NULL;

803:     DMFieldDSGetHeightDisc(field, 1, &faceDisc);
804:     DMFieldDSGetHeightDisc(field, 0, &cellDisc);
805:     PetscObjectGetClassId(faceDisc,&faceId);
806:     PetscObjectGetClassId(cellDisc,&cellId);
807:     if (faceId != PETSCFE_CLASSID || cellId != PETSCFE_CLASSID) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Not supported\n");
808:     PetscFEGetDualSpace((PetscFE)cellDisc, &dsp);
809:     PetscDualSpaceGetDM(dsp, &K);
810:     DMPlexGetConeSize(K,0,&coneSize);
811:     DMPlexGetCone(K,0,&coneK);
812:     PetscMalloc2(numFaces, &co, coneSize, &counts);
813:     PetscMalloc1(dE*Nq, &cellPoints);
814:     PetscMalloc1(Nq, &dummyWeights);
815:     PetscQuadratureCreate(PetscObjectComm((PetscObject)field), &cellQuad);
816:     PetscQuadratureSetData(cellQuad, dE, 1, Nq, cellPoints, dummyWeights);
817:     minOrient = PETSC_MAX_INT;
818:     maxOrient = PETSC_MIN_INT;
819:     for (p = 0; p < numFaces; p++) { /* record the orientation of the facet wrt the support cells */
820:       PetscInt        point = points[p];
821:       PetscInt        numSupp, numChildren;
822:       const PetscInt *supp;

824:       DMPlexGetTreeChildren(dm, point, &numChildren, NULL);
825:       if (numChildren) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Face data not valid for facets with children");
826:       DMPlexGetSupportSize(dm, point,&numSupp);
827:       if (numSupp > 2) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Point %D has %D support, expected at most 2\n", point, numSupp);
828:       DMPlexGetSupport(dm, point, &supp);
829:       for (s = 0; s < numSupp; s++) {
830:         PetscInt        cell = supp[s];
831:         PetscInt        numCone;
832:         const PetscInt *cone, *orient;

834:         DMPlexGetConeSize(dm, cell, &numCone);
835:         if (numCone != coneSize) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Support point does not match reference element");
836:         DMPlexGetCone(dm, cell, &cone);
837:         DMPlexGetConeOrientation(dm, cell, &orient);
838:         for (f = 0; f < coneSize; f++) {
839:           if (cone[f] == point) break;
840:         }
841:         co[p][s][0] = f;
842:         co[p][s][1] = orient[f];
843:         co[p][s][2] = cell;
844:         minOrient = PetscMin(minOrient, orient[f]);
845:         maxOrient = PetscMax(maxOrient, orient[f]);
846:       }
847:       for (; s < 2; s++) {
848:         co[p][s][0] = -1;
849:         co[p][s][1] = -1;
850:         co[p][s][2] = -1;
851:       }
852:     }
853:     numOrient = maxOrient + 1 - minOrient;
854:     DMPlexGetCone(K,0,&coneK);
855:     /* count all (face,orientation) doubles that appear */
856:     PetscCalloc2(numOrient,&orients,numOrient,&orientPoints);
857:     for (f = 0; f < coneSize; f++) {PetscCalloc1(numOrient+1, &counts[f]);}
858:     for (p = 0; p < numFaces; p++) {
859:       for (s = 0; s < 2; s++) {
860:         if (co[p][s][0] >= 0) {
861:           counts[co[p][s][0]][co[p][s][1] - minOrient]++;
862:           orients[co[p][s][1] - minOrient]++;
863:         }
864:       }
865:     }
866:     for (o = 0; o < numOrient; o++) {
867:       if (orients[o]) {
868:         PetscInt orient = o + minOrient;
869:         PetscInt q;

871:         PetscMalloc1(Nq * dim, &orientPoints[o]);
872:         /* rotate the quadrature points appropriately */
873:         switch (dim) {
874:         case 0:
875:           break;
876:         case 1:
877:           if (orient == -2 || orient == 1) {
878:             for (q = 0; q < Nq; q++) {
879:               orientPoints[o][q] = -geom->xi[q];
880:             }
881:           } else {
882:             for (q = 0; q < Nq; q++) {
883:               orientPoints[o][q] = geom->xi[q];
884:             }
885:           }
886:           break;
887:         case 2:
888:           switch (coneSize) {
889:           case 3:
890:             for (q = 0; q < Nq; q++) {
891:               PetscReal lambda[3];
892:               PetscReal lambdao[3];

894:               /* convert to barycentric */
895:               lambda[0] = - (geom->xi[2 * q] + geom->xi[2 * q + 1]) / 2.;
896:               lambda[1] = (geom->xi[2 * q] + 1.) / 2.;
897:               lambda[2] = (geom->xi[2 * q + 1] + 1.) / 2.;
898:               if (orient >= 0) {
899:                 for (i = 0; i < 3; i++) {
900:                   lambdao[i] = lambda[(orient + i) % 3];
901:                 }
902:               } else {
903:                 for (i = 0; i < 3; i++) {
904:                   lambdao[i] = lambda[(-(orient + i) + 3) % 3];
905:                 }
906:               }
907:               /* convert to coordinates */
908:               orientPoints[o][2 * q + 0] = -(lambdao[0] + lambdao[2]) + lambdao[1];
909:               orientPoints[o][2 * q + 1] = -(lambdao[0] + lambdao[1]) + lambdao[2];
910:             }
911:             break;
912:           case 4:
913:             for (q = 0; q < Nq; q++) {
914:               PetscReal xi[2], xio[2];
915:               PetscInt oabs = (orient >= 0) ? orient : -(orient + 1);

917:               xi[0] = geom->xi[2 * q];
918:               xi[1] = geom->xi[2 * q + 1];
919:               switch (oabs) {
920:               case 1:
921:                 xio[0] = xi[1];
922:                 xio[1] = -xi[0];
923:                 break;
924:               case 2:
925:                 xio[0] = -xi[0];
926:                 xio[1] = -xi[1];
927:               case 3:
928:                 xio[0] = -xi[1];
929:                 xio[1] = xi[0];
930:               case 0:
931:               default:
932:                 xio[0] = xi[0];
933:                 xio[1] = xi[1];
934:                 break;
935:               }
936:               if (orient < 0) {
937:                 xio[0] = -xio[0];
938:               }
939:               orientPoints[o][2 * q + 0] = xio[0];
940:               orientPoints[o][2 * q + 1] = xio[1];
941:             }
942:             break;
943:           default:
944:             SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Not implemented yet\n");
945:           }
946:         default:
947:           SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Not implemented yet\n");
948:         }
949:       }
950:     }
951:     for (f = 0; f < coneSize; f++) {
952:       PetscInt face = coneK[f];
953:       PetscReal v0[3];
954:       PetscReal J[9], detJ;
955:       PetscInt numCells, offset;
956:       PetscInt *cells;
957:       IS suppIS;

959:       DMPlexComputeCellGeometryFEM(K, face, NULL, v0, J, NULL, &detJ);
960:       for (o = 0; o <= numOrient; o++) {
961:         PetscFEGeom *cellGeom;

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

969:           CoordinatesRefToReal(dE, dim, xi0, v0, J, &orientPoints[o][dim * q + 0], &cellPoints[dE * q + 0]);
970:         }
971:         for (p = 0, numCells = 0; p < numFaces; p++) {
972:           for (s = 0; s < 2; s++) {
973:             if (co[p][s][0] == f && co[p][s][1] == o + minOrient) numCells++;
974:           }
975:         }
976:         PetscMalloc1(numCells, &cells);
977:         for (p = 0, offset = 0; p < numFaces; p++) {
978:           for (s = 0; s < 2; s++) {
979:             if (co[p][s][0] == f && co[p][s][1] == o + minOrient) {
980:               cells[offset++] = co[p][s][2];
981:             }
982:           }
983:         }
984:         ISCreateGeneral(PETSC_COMM_SELF,numCells,cells,PETSC_USE_POINTER, &suppIS);
985:         DMFieldCreateFEGeom(field,suppIS,cellQuad,PETSC_FALSE,&cellGeom);
986:         for (p = 0, offset = 0; p < numFaces; p++) {
987:           for (s = 0; s < 2; s++) {
988:             if (co[p][s][0] == f && co[p][s][1] == o + minOrient) {
989:               for (q = 0; q < Nq * dE * dE; q++) {
990:                 geom->suppInvJ[s][p * Nq * dE * dE + q] = cellGeom->invJ[offset * Nq * dE * dE + q];
991:               }
992:               offset++;
993:             }
994:           }
995:         }
996:         PetscFEGeomDestroy(&cellGeom);
997:         ISDestroy(&suppIS);
998:         PetscFree(cells);
999:       }
1000:     }
1001:     for (o = 0; o < numOrient; o++) {
1002:       if (orients[o]) {
1003:         PetscFree(orientPoints[o]);
1004:       }
1005:     }
1006:     PetscFree2(orients,orientPoints);
1007:     PetscQuadratureDestroy(&cellQuad);
1008:     PetscFree2(co,counts);
1009:   }
1010:   ISRestoreIndices(pointIS, &points);
1011:   ISDestroy(&cellIS);
1012:   return(0);
1013: }

1015: static PetscErrorCode DMFieldInitialize_DS(DMField field)
1016: {
1018:   field->ops->destroy                 = DMFieldDestroy_DS;
1019:   field->ops->evaluate                = DMFieldEvaluate_DS;
1020:   field->ops->evaluateFE              = DMFieldEvaluateFE_DS;
1021:   field->ops->evaluateFV              = DMFieldEvaluateFV_DS;
1022:   field->ops->getDegree               = DMFieldGetDegree_DS;
1023:   field->ops->createDefaultQuadrature = DMFieldCreateDefaultQuadrature_DS;
1024:   field->ops->view                    = DMFieldView_DS;
1025:   field->ops->computeFaceData         = DMFieldComputeFaceData_DS;
1026:   return(0);
1027: }

1029: PETSC_INTERN PetscErrorCode DMFieldCreate_DS(DMField field)
1030: {
1031:   DMField_DS     *dsfield;

1035:   PetscNewLog(field,&dsfield);
1036:   field->data = dsfield;
1037:   DMFieldInitialize_DS(field);
1038:   return(0);
1039: }

1041: PetscErrorCode DMFieldCreateDS(DM dm, PetscInt fieldNum, Vec vec,DMField *field)
1042: {
1043:   DMField        b;
1044:   DMField_DS     *dsfield;
1045:   PetscObject    disc = NULL;
1046:   PetscBool      isContainer = PETSC_FALSE;
1047:   PetscClassId   id = -1;
1048:   PetscInt       numComponents = -1, dsNumFields;
1049:   PetscSection   section;

1053:   DMGetDefaultSection(dm,&section);
1054:   PetscSectionGetFieldComponents(section,fieldNum,&numComponents);
1055:   DMGetNumFields(dm,&dsNumFields);
1056:   if (dsNumFields) {DMGetField(dm,fieldNum,&disc);}
1057:   if (disc) {
1058:     PetscObjectGetClassId(disc,&id);
1059:     isContainer = (id == PETSC_CONTAINER_CLASSID) ? PETSC_TRUE : PETSC_FALSE;
1060:   }
1061:   if (!disc || isContainer) {
1062:     MPI_Comm        comm = PetscObjectComm((PetscObject) dm);
1063:     PetscInt        cStart, cEnd, dim, cellHeight;
1064:     PetscInt        localConeSize = 0, coneSize;
1065:     PetscFE         fe;
1066:     PetscDualSpace  Q;
1067:     PetscSpace      P;
1068:     DM              K;
1069:     PetscQuadrature quad, fquad;
1070:     PetscBool       isSimplex;

1072:     DMPlexGetVTKCellHeight(dm, &cellHeight);
1073:     DMPlexGetHeightStratum(dm, cellHeight, &cStart, &cEnd);
1074:     DMGetDimension(dm, &dim);
1075:     if (cEnd > cStart) {
1076:       DMPlexGetConeSize(dm, cStart, &localConeSize);
1077:     }
1078:     MPI_Allreduce(&localConeSize,&coneSize,1,MPIU_INT,MPI_MAX,comm);
1079:     isSimplex = (coneSize == (dim + 1)) ? PETSC_TRUE : PETSC_FALSE;
1080:     PetscSpaceCreate(comm, &P);
1081:     PetscSpaceSetType(P,PETSCSPACEPOLYNOMIAL);
1082:     PetscSpaceSetDegree(P, 1, PETSC_DETERMINE);
1083:     PetscSpaceSetNumComponents(P, numComponents);
1084:     PetscSpaceSetNumVariables(P, dim);
1085:     PetscSpacePolynomialSetTensor(P, isSimplex ? PETSC_FALSE : PETSC_TRUE);
1086:     PetscSpaceSetUp(P);
1087:     PetscDualSpaceCreate(comm, &Q);
1088:     PetscDualSpaceSetType(Q,PETSCDUALSPACELAGRANGE);
1089:     PetscDualSpaceCreateReferenceCell(Q, dim, isSimplex, &K);
1090:     PetscDualSpaceSetDM(Q, K);
1091:     DMDestroy(&K);
1092:     PetscDualSpaceSetNumComponents(Q, numComponents);
1093:     PetscDualSpaceSetOrder(Q, 1);
1094:     PetscDualSpaceLagrangeSetTensor(Q, isSimplex ? PETSC_FALSE : PETSC_TRUE);
1095:     PetscDualSpaceSetUp(Q);
1096:     PetscFECreate(comm, &fe);
1097:     PetscFESetType(fe,PETSCFEBASIC);
1098:     PetscFESetBasisSpace(fe, P);
1099:     PetscFESetDualSpace(fe, Q);
1100:     PetscFESetNumComponents(fe, numComponents);
1101:     PetscFESetUp(fe);
1102:     PetscSpaceDestroy(&P);
1103:     PetscDualSpaceDestroy(&Q);
1104:     if (isSimplex) {
1105:       PetscDTGaussJacobiQuadrature(dim,   1, 1, -1.0, 1.0, &quad);
1106:       PetscDTGaussJacobiQuadrature(dim-1, 1, 1, -1.0, 1.0, &fquad);
1107:     }
1108:     else {
1109:       PetscDTGaussTensorQuadrature(dim,   1, 1, -1.0, 1.0, &quad);
1110:       PetscDTGaussTensorQuadrature(dim-1, 1, 1, -1.0, 1.0, &fquad);
1111:     }
1112:     PetscFESetQuadrature(fe, quad);
1113:     PetscFESetFaceQuadrature(fe, fquad);
1114:     PetscQuadratureDestroy(&quad);
1115:     PetscQuadratureDestroy(&fquad);
1116:     disc = (PetscObject) fe;
1117:   } else {
1118:     PetscObjectReference(disc);
1119:   }
1120:   PetscObjectGetClassId(disc,&id);
1121:   if (id == PETSCFE_CLASSID) {
1122:     PetscFE fe = (PetscFE) disc;

1124:     PetscFEGetNumComponents(fe,&numComponents);
1125:   } else {SETERRQ(PetscObjectComm((PetscObject)dm),PETSC_ERR_SUP,"Not implemented");}
1126:   DMFieldCreate(dm,numComponents,DMFIELD_VERTEX,&b);
1127:   DMFieldSetType(b,DMFIELDDS);
1128:   dsfield = (DMField_DS *) b->data;
1129:   dsfield->fieldNum = fieldNum;
1130:   DMGetDimension(dm,&dsfield->height);
1131:   dsfield->height++;
1132:   PetscCalloc1(dsfield->height,&dsfield->disc);
1133:   dsfield->disc[0] = disc;
1134:   PetscObjectReference((PetscObject)vec);
1135:   dsfield->vec = vec;
1136:   *field = b;

1138:   return(0);
1139: }