xref: /petsc/src/dm/impls/plex/plexsubmesh.c (revision 32029c4cd32c73a59e0db24cf4af1f9e56545c29)
1 #include <petsc-private/dmpleximpl.h>   /*I      "petscdmplex.h"   I*/
2 #include <petscsf.h>
3 
4 #undef __FUNCT__
5 #define __FUNCT__ "DMPlexMarkBoundaryFaces"
6 /*@
7   DMPlexMarkBoundaryFaces - Mark all faces on the boundary
8 
9   Not Collective
10 
11   Input Parameter:
12 . dm - The original DM
13 
14   Output Parameter:
15 . label - The DMLabel marking boundary faces with value 1
16 
17   Level: developer
18 
19 .seealso: DMLabelCreate(), DMPlexCreateLabel()
20 @*/
21 PetscErrorCode DMPlexMarkBoundaryFaces(DM dm, DMLabel label)
22 {
23   PetscInt       fStart, fEnd, f;
24   PetscErrorCode ierr;
25 
26   PetscFunctionBegin;
27   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
28   ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr);
29   for (f = fStart; f < fEnd; ++f) {
30     PetscInt supportSize;
31 
32     ierr = DMPlexGetSupportSize(dm, f, &supportSize);CHKERRQ(ierr);
33     if (supportSize == 1) {
34       ierr = DMLabelSetValue(label, f, 1);CHKERRQ(ierr);
35     }
36   }
37   PetscFunctionReturn(0);
38 }
39 
40 #undef __FUNCT__
41 #define __FUNCT__ "DMPlexLabelComplete"
42 /*@
43   DMPlexLabelComplete - Starting with a label marking points on a surface, we add the transitive closure to the surface
44 
45   Input Parameters:
46 + dm - The DM
47 - label - A DMLabel marking the surface points
48 
49   Output Parameter:
50 . label - A DMLabel marking all surface points in the transitive closure
51 
52   Level: developer
53 
54 .seealso: DMPlexLabelCohesiveComplete()
55 @*/
56 PetscErrorCode DMPlexLabelComplete(DM dm, DMLabel label)
57 {
58   IS              valueIS;
59   const PetscInt *values;
60   PetscInt        numValues, v;
61   PetscErrorCode  ierr;
62 
63   PetscFunctionBegin;
64   ierr = DMLabelGetNumValues(label, &numValues);CHKERRQ(ierr);
65   ierr = DMLabelGetValueIS(label, &valueIS);CHKERRQ(ierr);
66   ierr = ISGetIndices(valueIS, &values);CHKERRQ(ierr);
67   for (v = 0; v < numValues; ++v) {
68     IS              pointIS;
69     const PetscInt *points;
70     PetscInt        numPoints, p;
71 
72     ierr = DMLabelGetStratumSize(label, values[v], &numPoints);CHKERRQ(ierr);
73     ierr = DMLabelGetStratumIS(label, values[v], &pointIS);CHKERRQ(ierr);
74     ierr = ISGetIndices(pointIS, &points);CHKERRQ(ierr);
75     for (p = 0; p < numPoints; ++p) {
76       PetscInt *closure = NULL;
77       PetscInt  closureSize, c;
78 
79       ierr = DMPlexGetTransitiveClosure(dm, points[p], PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
80       for (c = 0; c < closureSize*2; c += 2) {
81         ierr = DMLabelSetValue(label, closure[c], values[v]);CHKERRQ(ierr);
82       }
83       ierr = DMPlexRestoreTransitiveClosure(dm, points[p], PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
84     }
85     ierr = ISRestoreIndices(pointIS, &points);CHKERRQ(ierr);
86     ierr = ISDestroy(&pointIS);CHKERRQ(ierr);
87   }
88   ierr = ISRestoreIndices(valueIS, &values);CHKERRQ(ierr);
89   ierr = ISDestroy(&valueIS);CHKERRQ(ierr);
90   PetscFunctionReturn(0);
91 }
92 
93 #undef __FUNCT__
94 #define __FUNCT__ "DMPlexShiftPoint_Internal"
95 PETSC_STATIC_INLINE PetscInt DMPlexShiftPoint_Internal(PetscInt p, PetscInt depth, PetscInt depthEnd[], PetscInt depthShift[])
96 {
97   if (depth < 0) return p;
98   /* Cells    */ if (p < depthEnd[depth])   return p;
99   /* Vertices */ if (p < depthEnd[0])       return p + depthShift[depth];
100   /* Faces    */ if (p < depthEnd[depth-1]) return p + depthShift[depth] + depthShift[0];
101   /* Edges    */                            return p + depthShift[depth] + depthShift[0] + depthShift[depth-1];
102 }
103 
104 #undef __FUNCT__
105 #define __FUNCT__ "DMPlexShiftSizes_Internal"
106 static PetscErrorCode DMPlexShiftSizes_Internal(DM dm, PetscInt depthShift[], DM dmNew)
107 {
108   PetscInt      *depthEnd;
109   PetscInt       depth = 0, d, pStart, pEnd, p;
110   PetscErrorCode ierr;
111 
112   PetscFunctionBegin;
113   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
114   if (depth < 0) PetscFunctionReturn(0);
115   ierr = PetscMalloc((depth+1) * sizeof(PetscInt), &depthEnd);CHKERRQ(ierr);
116   /* Step 1: Expand chart */
117   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
118   for (d = 0; d <= depth; ++d) {
119     pEnd += depthShift[d];
120     ierr  = DMPlexGetDepthStratum(dm, d, NULL, &depthEnd[d]);CHKERRQ(ierr);
121   }
122   ierr = DMPlexSetChart(dmNew, pStart, pEnd);CHKERRQ(ierr);
123   /* Step 2: Set cone and support sizes */
124   for (d = 0; d <= depth; ++d) {
125     ierr = DMPlexGetDepthStratum(dm, d, &pStart, &pEnd);CHKERRQ(ierr);
126     for (p = pStart; p < pEnd; ++p) {
127       PetscInt newp = DMPlexShiftPoint_Internal(p, depth, depthEnd, depthShift);
128       PetscInt size;
129 
130       ierr = DMPlexGetConeSize(dm, p, &size);CHKERRQ(ierr);
131       ierr = DMPlexSetConeSize(dmNew, newp, size);CHKERRQ(ierr);
132       ierr = DMPlexGetSupportSize(dm, p, &size);CHKERRQ(ierr);
133       ierr = DMPlexSetSupportSize(dmNew, newp, size);CHKERRQ(ierr);
134     }
135   }
136   ierr = PetscFree(depthEnd);CHKERRQ(ierr);
137   PetscFunctionReturn(0);
138 }
139 
140 #undef __FUNCT__
141 #define __FUNCT__ "DMPlexShiftPoints_Internal"
142 static PetscErrorCode DMPlexShiftPoints_Internal(DM dm, PetscInt depthShift[], DM dmNew)
143 {
144   PetscInt      *depthEnd, *newpoints;
145   PetscInt       depth = 0, d, maxConeSize, maxSupportSize, pStart, pEnd, p;
146   PetscErrorCode ierr;
147 
148   PetscFunctionBegin;
149   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
150   if (depth < 0) PetscFunctionReturn(0);
151   ierr = DMPlexGetMaxSizes(dm, &maxConeSize, &maxSupportSize);CHKERRQ(ierr);
152   ierr = PetscMalloc2(depth+1,PetscInt,&depthEnd,PetscMax(maxConeSize, maxSupportSize),PetscInt,&newpoints);CHKERRQ(ierr);
153   for (d = 0; d <= depth; ++d) {
154     ierr = DMPlexGetDepthStratum(dm, d, NULL, &depthEnd[d]);CHKERRQ(ierr);
155   }
156   /* Step 5: Set cones and supports */
157   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
158   for (p = pStart; p < pEnd; ++p) {
159     const PetscInt *points = NULL, *orientations = NULL;
160     PetscInt        size, i, newp = DMPlexShiftPoint_Internal(p, depth, depthEnd, depthShift);
161 
162     ierr = DMPlexGetConeSize(dm, p, &size);CHKERRQ(ierr);
163     ierr = DMPlexGetCone(dm, p, &points);CHKERRQ(ierr);
164     ierr = DMPlexGetConeOrientation(dm, p, &orientations);CHKERRQ(ierr);
165     for (i = 0; i < size; ++i) {
166       newpoints[i] = DMPlexShiftPoint_Internal(points[i], depth, depthEnd, depthShift);
167     }
168     ierr = DMPlexSetCone(dmNew, newp, newpoints);CHKERRQ(ierr);
169     ierr = DMPlexSetConeOrientation(dmNew, newp, orientations);CHKERRQ(ierr);
170     ierr = DMPlexGetSupportSize(dm, p, &size);CHKERRQ(ierr);
171     ierr = DMPlexGetSupport(dm, p, &points);CHKERRQ(ierr);
172     for (i = 0; i < size; ++i) {
173       newpoints[i] = DMPlexShiftPoint_Internal(points[i], depth, depthEnd, depthShift);
174     }
175     ierr = DMPlexSetSupport(dmNew, newp, newpoints);CHKERRQ(ierr);
176   }
177   ierr = PetscFree2(depthEnd,newpoints);CHKERRQ(ierr);
178   PetscFunctionReturn(0);
179 }
180 
181 #undef __FUNCT__
182 #define __FUNCT__ "DMPlexShiftCoordinates_Internal"
183 static PetscErrorCode DMPlexShiftCoordinates_Internal(DM dm, PetscInt depthShift[], DM dmNew)
184 {
185   PetscSection   coordSection, newCoordSection;
186   Vec            coordinates, newCoordinates;
187   PetscScalar   *coords, *newCoords;
188   PetscInt      *depthEnd, coordSize;
189   PetscInt       dim, depth = 0, d, vStart, vEnd, vStartNew, vEndNew, v;
190   PetscErrorCode ierr;
191 
192   PetscFunctionBegin;
193   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
194   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
195   ierr = PetscMalloc((depth+1) * sizeof(PetscInt), &depthEnd);CHKERRQ(ierr);
196   for (d = 0; d <= depth; ++d) {
197     ierr = DMPlexGetDepthStratum(dm, d, NULL, &depthEnd[d]);CHKERRQ(ierr);
198   }
199   /* Step 8: Convert coordinates */
200   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
201   ierr = DMPlexGetDepthStratum(dmNew, 0, &vStartNew, &vEndNew);CHKERRQ(ierr);
202   ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
203   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &newCoordSection);CHKERRQ(ierr);
204   ierr = PetscSectionSetNumFields(newCoordSection, 1);CHKERRQ(ierr);
205   ierr = PetscSectionSetFieldComponents(newCoordSection, 0, dim);CHKERRQ(ierr);
206   ierr = PetscSectionSetChart(newCoordSection, vStartNew, vEndNew);CHKERRQ(ierr);
207   for (v = vStartNew; v < vEndNew; ++v) {
208     ierr = PetscSectionSetDof(newCoordSection, v, dim);CHKERRQ(ierr);
209     ierr = PetscSectionSetFieldDof(newCoordSection, v, 0, dim);CHKERRQ(ierr);
210   }
211   ierr = PetscSectionSetUp(newCoordSection);CHKERRQ(ierr);
212   ierr = DMPlexSetCoordinateSection(dmNew, newCoordSection);CHKERRQ(ierr);
213   ierr = PetscSectionGetStorageSize(newCoordSection, &coordSize);CHKERRQ(ierr);
214   ierr = VecCreate(PetscObjectComm((PetscObject)dm), &newCoordinates);CHKERRQ(ierr);
215   ierr = PetscObjectSetName((PetscObject) newCoordinates, "coordinates");CHKERRQ(ierr);
216   ierr = VecSetSizes(newCoordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr);
217   ierr = VecSetType(newCoordinates,dm->vectype);CHKERRQ(ierr);
218   ierr = DMSetCoordinatesLocal(dmNew, newCoordinates);CHKERRQ(ierr);
219   ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
220   ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
221   ierr = VecGetArray(newCoordinates, &newCoords);CHKERRQ(ierr);
222   for (v = vStart; v < vEnd; ++v) {
223     PetscInt dof, off, noff, d;
224 
225     ierr = PetscSectionGetDof(coordSection, v, &dof);CHKERRQ(ierr);
226     ierr = PetscSectionGetOffset(coordSection, v, &off);CHKERRQ(ierr);
227     ierr = PetscSectionGetOffset(newCoordSection, DMPlexShiftPoint_Internal(v, depth, depthEnd, depthShift), &noff);CHKERRQ(ierr);
228     for (d = 0; d < dof; ++d) {
229       newCoords[noff+d] = coords[off+d];
230     }
231   }
232   ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
233   ierr = VecRestoreArray(newCoordinates, &newCoords);CHKERRQ(ierr);
234   ierr = VecDestroy(&newCoordinates);CHKERRQ(ierr);
235   ierr = PetscSectionDestroy(&newCoordSection);CHKERRQ(ierr);
236   ierr = PetscFree(depthEnd);CHKERRQ(ierr);
237   PetscFunctionReturn(0);
238 }
239 
240 #undef __FUNCT__
241 #define __FUNCT__ "DMPlexShiftSF_Internal"
242 static PetscErrorCode DMPlexShiftSF_Internal(DM dm, PetscInt depthShift[], DM dmNew)
243 {
244   PetscInt          *depthEnd;
245   PetscInt           depth = 0, d;
246   PetscSF            sfPoint, sfPointNew;
247   const PetscSFNode *remotePoints;
248   PetscSFNode       *gremotePoints;
249   const PetscInt    *localPoints;
250   PetscInt          *glocalPoints, *newLocation, *newRemoteLocation;
251   PetscInt           numRoots, numLeaves, l, pStart, pEnd, totShift = 0;
252   PetscErrorCode     ierr;
253 
254   PetscFunctionBegin;
255   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
256   ierr = PetscMalloc((depth+1) * sizeof(PetscInt), &depthEnd);CHKERRQ(ierr);
257   for (d = 0; d <= depth; ++d) {
258     totShift += depthShift[d];
259     ierr      = DMPlexGetDepthStratum(dm, d, NULL, &depthEnd[d]);CHKERRQ(ierr);
260   }
261   /* Step 9: Convert pointSF */
262   ierr = DMGetPointSF(dm, &sfPoint);CHKERRQ(ierr);
263   ierr = DMGetPointSF(dmNew, &sfPointNew);CHKERRQ(ierr);
264   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
265   ierr = PetscSFGetGraph(sfPoint, &numRoots, &numLeaves, &localPoints, &remotePoints);CHKERRQ(ierr);
266   if (numRoots >= 0) {
267     ierr = PetscMalloc2(numRoots,PetscInt,&newLocation,pEnd-pStart,PetscInt,&newRemoteLocation);CHKERRQ(ierr);
268     for (l=0; l<numRoots; l++) newLocation[l] = DMPlexShiftPoint_Internal(l, depth, depthEnd, depthShift);
269     ierr = PetscSFBcastBegin(sfPoint, MPIU_INT, newLocation, newRemoteLocation);CHKERRQ(ierr);
270     ierr = PetscSFBcastEnd(sfPoint, MPIU_INT, newLocation, newRemoteLocation);CHKERRQ(ierr);
271     ierr = PetscMalloc(numLeaves * sizeof(PetscInt),    &glocalPoints);CHKERRQ(ierr);
272     ierr = PetscMalloc(numLeaves * sizeof(PetscSFNode), &gremotePoints);CHKERRQ(ierr);
273     for (l = 0; l < numLeaves; ++l) {
274       glocalPoints[l]        = DMPlexShiftPoint_Internal(localPoints[l], depth, depthEnd, depthShift);
275       gremotePoints[l].rank  = remotePoints[l].rank;
276       gremotePoints[l].index = newRemoteLocation[localPoints[l]];
277     }
278     ierr = PetscFree2(newLocation,newRemoteLocation);CHKERRQ(ierr);
279     ierr = PetscSFSetGraph(sfPointNew, numRoots + totShift, numLeaves, glocalPoints, PETSC_OWN_POINTER, gremotePoints, PETSC_OWN_POINTER);CHKERRQ(ierr);
280   }
281   ierr = PetscFree(depthEnd);CHKERRQ(ierr);
282   PetscFunctionReturn(0);
283 }
284 
285 #undef __FUNCT__
286 #define __FUNCT__ "DMPlexShiftLabels_Internal"
287 static PetscErrorCode DMPlexShiftLabels_Internal(DM dm, PetscInt depthShift[], DM dmNew)
288 {
289   PetscSF            sfPoint;
290   DMLabel            vtkLabel, ghostLabel;
291   PetscInt          *depthEnd;
292   const PetscSFNode *leafRemote;
293   const PetscInt    *leafLocal;
294   PetscInt           depth = 0, d, numLeaves, numLabels, l, cStart, cEnd, c, fStart, fEnd, f;
295   PetscMPIInt        rank;
296   PetscErrorCode     ierr;
297 
298   PetscFunctionBegin;
299   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
300   ierr = PetscMalloc((depth+1) * sizeof(PetscInt), &depthEnd);CHKERRQ(ierr);
301   for (d = 0; d <= depth; ++d) {
302     ierr = DMPlexGetDepthStratum(dm, d, NULL, &depthEnd[d]);CHKERRQ(ierr);
303   }
304   /* Step 10: Convert labels */
305   ierr = DMPlexGetNumLabels(dm, &numLabels);CHKERRQ(ierr);
306   for (l = 0; l < numLabels; ++l) {
307     DMLabel         label, newlabel;
308     const char     *lname;
309     PetscBool       isDepth;
310     IS              valueIS;
311     const PetscInt *values;
312     PetscInt        numValues, val;
313 
314     ierr = DMPlexGetLabelName(dm, l, &lname);CHKERRQ(ierr);
315     ierr = PetscStrcmp(lname, "depth", &isDepth);CHKERRQ(ierr);
316     if (isDepth) continue;
317     ierr = DMPlexCreateLabel(dmNew, lname);CHKERRQ(ierr);
318     ierr = DMPlexGetLabel(dm, lname, &label);CHKERRQ(ierr);
319     ierr = DMPlexGetLabel(dmNew, lname, &newlabel);CHKERRQ(ierr);
320     ierr = DMLabelGetValueIS(label, &valueIS);CHKERRQ(ierr);
321     ierr = ISGetLocalSize(valueIS, &numValues);CHKERRQ(ierr);
322     ierr = ISGetIndices(valueIS, &values);CHKERRQ(ierr);
323     for (val = 0; val < numValues; ++val) {
324       IS              pointIS;
325       const PetscInt *points;
326       PetscInt        numPoints, p;
327 
328       ierr = DMLabelGetStratumIS(label, values[val], &pointIS);CHKERRQ(ierr);
329       ierr = ISGetLocalSize(pointIS, &numPoints);CHKERRQ(ierr);
330       ierr = ISGetIndices(pointIS, &points);CHKERRQ(ierr);
331       for (p = 0; p < numPoints; ++p) {
332         const PetscInt newpoint = DMPlexShiftPoint_Internal(points[p], depth, depthEnd, depthShift);
333 
334         ierr = DMLabelSetValue(newlabel, newpoint, values[val]);CHKERRQ(ierr);
335       }
336       ierr = ISRestoreIndices(pointIS, &points);CHKERRQ(ierr);
337       ierr = ISDestroy(&pointIS);CHKERRQ(ierr);
338     }
339     ierr = ISRestoreIndices(valueIS, &values);CHKERRQ(ierr);
340     ierr = ISDestroy(&valueIS);CHKERRQ(ierr);
341   }
342   ierr = PetscFree(depthEnd);CHKERRQ(ierr);
343   /* Step 11: Make label for output (vtk) and to mark ghost points (ghost) */
344   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)dm), &rank);CHKERRQ(ierr);
345   ierr = DMGetPointSF(dm, &sfPoint);CHKERRQ(ierr);
346   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
347   ierr = PetscSFGetGraph(sfPoint, NULL, &numLeaves, &leafLocal, &leafRemote);CHKERRQ(ierr);
348   ierr = DMPlexCreateLabel(dmNew, "vtk");CHKERRQ(ierr);
349   ierr = DMPlexCreateLabel(dmNew, "ghost");CHKERRQ(ierr);
350   ierr = DMPlexGetLabel(dmNew, "vtk", &vtkLabel);CHKERRQ(ierr);
351   ierr = DMPlexGetLabel(dmNew, "ghost", &ghostLabel);CHKERRQ(ierr);
352   for (l = 0, c = cStart; l < numLeaves && c < cEnd; ++l, ++c) {
353     for (; c < leafLocal[l] && c < cEnd; ++c) {
354       ierr = DMLabelSetValue(vtkLabel, c, 1);CHKERRQ(ierr);
355     }
356     if (leafLocal[l] >= cEnd) break;
357     if (leafRemote[l].rank == rank) {
358       ierr = DMLabelSetValue(vtkLabel, c, 1);CHKERRQ(ierr);
359     } else {
360       ierr = DMLabelSetValue(ghostLabel, c, 2);CHKERRQ(ierr);
361     }
362   }
363   for (; c < cEnd; ++c) {
364     ierr = DMLabelSetValue(vtkLabel, c, 1);CHKERRQ(ierr);
365   }
366   if (0) {
367     ierr = PetscViewerASCIISynchronizedAllow(PETSC_VIEWER_STDOUT_WORLD, PETSC_TRUE);CHKERRQ(ierr);
368     ierr = DMLabelView(vtkLabel, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
369     ierr = PetscViewerFlush(PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
370   }
371   ierr = DMPlexGetHeightStratum(dmNew, 1, &fStart, &fEnd);CHKERRQ(ierr);
372   for (f = fStart; f < fEnd; ++f) {
373     PetscInt numCells;
374 
375     ierr = DMPlexGetSupportSize(dmNew, f, &numCells);CHKERRQ(ierr);
376     if (numCells < 2) {
377       ierr = DMLabelSetValue(ghostLabel, f, 1);CHKERRQ(ierr);
378     } else {
379       const PetscInt *cells = NULL;
380       PetscInt        vA, vB;
381 
382       ierr = DMPlexGetSupport(dmNew, f, &cells);CHKERRQ(ierr);
383       ierr = DMLabelGetValue(vtkLabel, cells[0], &vA);CHKERRQ(ierr);
384       ierr = DMLabelGetValue(vtkLabel, cells[1], &vB);CHKERRQ(ierr);
385       if (!vA && !vB) {ierr = DMLabelSetValue(ghostLabel, f, 1);CHKERRQ(ierr);}
386     }
387   }
388   if (0) {
389     ierr = PetscViewerASCIISynchronizedAllow(PETSC_VIEWER_STDOUT_WORLD, PETSC_TRUE);CHKERRQ(ierr);
390     ierr = DMLabelView(ghostLabel, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
391     ierr = PetscViewerFlush(PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
392   }
393   PetscFunctionReturn(0);
394 }
395 
396 #undef __FUNCT__
397 #define __FUNCT__ "DMPlexConstructGhostCells_Internal"
398 static PetscErrorCode DMPlexConstructGhostCells_Internal(DM dm, DMLabel label, PetscInt *numGhostCells, DM gdm)
399 {
400   IS              valueIS;
401   const PetscInt *values;
402   PetscInt       *depthShift;
403   PetscInt        depth = 0, numFS, fs, ghostCell, cEnd, c;
404   PetscErrorCode  ierr;
405 
406   PetscFunctionBegin;
407   /* Count ghost cells */
408   ierr = DMLabelGetValueIS(label, &valueIS);CHKERRQ(ierr);
409   ierr = ISGetLocalSize(valueIS, &numFS);CHKERRQ(ierr);
410   ierr = ISGetIndices(valueIS, &values);CHKERRQ(ierr);
411 
412   *numGhostCells = 0;
413   for (fs = 0; fs < numFS; ++fs) {
414     PetscInt numBdFaces;
415 
416     ierr = DMLabelGetStratumSize(label, values[fs], &numBdFaces);CHKERRQ(ierr);
417 
418     *numGhostCells += numBdFaces;
419   }
420   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
421   ierr = PetscMalloc((depth+1) * sizeof(PetscInt), &depthShift);CHKERRQ(ierr);
422   ierr = PetscMemzero(depthShift, (depth+1) * sizeof(PetscInt));CHKERRQ(ierr);
423   if (depth >= 0) depthShift[depth] = *numGhostCells;
424   ierr = DMPlexShiftSizes_Internal(dm, depthShift, gdm);CHKERRQ(ierr);
425   /* Step 3: Set cone/support sizes for new points */
426   ierr = DMPlexGetHeightStratum(dm, 0, NULL, &cEnd);CHKERRQ(ierr);
427   for (c = cEnd; c < cEnd + *numGhostCells; ++c) {
428     ierr = DMPlexSetConeSize(gdm, c, 1);CHKERRQ(ierr);
429   }
430   for (fs = 0; fs < numFS; ++fs) {
431     IS              faceIS;
432     const PetscInt *faces;
433     PetscInt        numFaces, f;
434 
435     ierr = DMLabelGetStratumIS(label, values[fs], &faceIS);CHKERRQ(ierr);
436     ierr = ISGetLocalSize(faceIS, &numFaces);CHKERRQ(ierr);
437     ierr = ISGetIndices(faceIS, &faces);CHKERRQ(ierr);
438     for (f = 0; f < numFaces; ++f) {
439       PetscInt size;
440 
441       ierr = DMPlexGetSupportSize(dm, faces[f], &size);CHKERRQ(ierr);
442       if (size != 1) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "DM has boundary face %d with %d support cells", faces[f], size);
443       ierr = DMPlexSetSupportSize(gdm, faces[f] + *numGhostCells, 2);CHKERRQ(ierr);
444     }
445     ierr = ISRestoreIndices(faceIS, &faces);CHKERRQ(ierr);
446     ierr = ISDestroy(&faceIS);CHKERRQ(ierr);
447   }
448   /* Step 4: Setup ghosted DM */
449   ierr = DMSetUp(gdm);CHKERRQ(ierr);
450   ierr = DMPlexShiftPoints_Internal(dm, depthShift, gdm);CHKERRQ(ierr);
451   /* Step 6: Set cones and supports for new points */
452   ghostCell = cEnd;
453   for (fs = 0; fs < numFS; ++fs) {
454     IS              faceIS;
455     const PetscInt *faces;
456     PetscInt        numFaces, f;
457 
458     ierr = DMLabelGetStratumIS(label, values[fs], &faceIS);CHKERRQ(ierr);
459     ierr = ISGetLocalSize(faceIS, &numFaces);CHKERRQ(ierr);
460     ierr = ISGetIndices(faceIS, &faces);CHKERRQ(ierr);
461     for (f = 0; f < numFaces; ++f, ++ghostCell) {
462       PetscInt newFace = faces[f] + *numGhostCells;
463 
464       ierr = DMPlexSetCone(gdm, ghostCell, &newFace);CHKERRQ(ierr);
465       ierr = DMPlexInsertSupport(gdm, newFace, 1, ghostCell);CHKERRQ(ierr);
466     }
467     ierr = ISRestoreIndices(faceIS, &faces);CHKERRQ(ierr);
468     ierr = ISDestroy(&faceIS);CHKERRQ(ierr);
469   }
470   ierr = ISRestoreIndices(valueIS, &values);CHKERRQ(ierr);
471   ierr = ISDestroy(&valueIS);CHKERRQ(ierr);
472   /* Step 7: Stratify */
473   ierr = DMPlexStratify(gdm);CHKERRQ(ierr);
474   ierr = DMPlexShiftCoordinates_Internal(dm, depthShift, gdm);CHKERRQ(ierr);
475   ierr = DMPlexShiftSF_Internal(dm, depthShift, gdm);CHKERRQ(ierr);
476   ierr = DMPlexShiftLabels_Internal(dm, depthShift, gdm);CHKERRQ(ierr);
477   ierr = PetscFree(depthShift);CHKERRQ(ierr);
478   PetscFunctionReturn(0);
479 }
480 
481 #undef __FUNCT__
482 #define __FUNCT__ "DMPlexConstructGhostCells"
483 /*@C
484   DMPlexConstructGhostCells - Construct ghost cells which connect to every boundary face
485 
486   Collective on dm
487 
488   Input Parameters:
489 + dm - The original DM
490 - labelName - The label specifying the boundary faces, or "Face Sets" if this is NULL
491 
492   Output Parameters:
493 + numGhostCells - The number of ghost cells added to the DM
494 - dmGhosted - The new DM
495 
496   Note: If no label exists of that name, one will be created marking all boundary faces
497 
498   Level: developer
499 
500 .seealso: DMCreate()
501 */
502 PetscErrorCode DMPlexConstructGhostCells(DM dm, const char labelName[], PetscInt *numGhostCells, DM *dmGhosted)
503 {
504   DM             gdm;
505   DMLabel        label;
506   const char    *name = labelName ? labelName : "Face Sets";
507   PetscInt       dim;
508   PetscErrorCode ierr;
509 
510   PetscFunctionBegin;
511   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
512   PetscValidPointer(numGhostCells, 3);
513   PetscValidPointer(dmGhosted, 4);
514   ierr = DMCreate(PetscObjectComm((PetscObject)dm), &gdm);CHKERRQ(ierr);
515   ierr = DMSetType(gdm, DMPLEX);CHKERRQ(ierr);
516   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
517   ierr = DMPlexSetDimension(gdm, dim);CHKERRQ(ierr);
518   ierr = DMPlexGetLabel(dm, name, &label);CHKERRQ(ierr);
519   if (!label) {
520     /* Get label for boundary faces */
521     ierr = DMPlexCreateLabel(dm, name);CHKERRQ(ierr);
522     ierr = DMPlexGetLabel(dm, name, &label);CHKERRQ(ierr);
523     ierr = DMPlexMarkBoundaryFaces(dm, label);CHKERRQ(ierr);
524   }
525   ierr = DMPlexConstructGhostCells_Internal(dm, label, numGhostCells, gdm);CHKERRQ(ierr);
526   ierr = DMSetFromOptions(gdm);CHKERRQ(ierr);
527   *dmGhosted = gdm;
528   PetscFunctionReturn(0);
529 }
530 
531 #undef __FUNCT__
532 #define __FUNCT__ "DMPlexConstructCohesiveCells_Internal"
533 /*
534   We are adding two kinds of points here:
535     Replicated: Copies of points which exist in the mesh, such as vertices identified across a fault
536     Hybrid:     Entirely new points, such as cohesive cells
537 */
538 static PetscErrorCode DMPlexConstructCohesiveCells_Internal(DM dm, DMLabel label, DM sdm)
539 {
540   MPI_Comm         comm;
541   IS               valueIS;
542   PetscInt         numSP = 0;       /* The number of depths for which we have replicated points */
543   const PetscInt  *values;          /* List of depths for which we have replicated points */
544   IS              *pointIS;
545   PetscInt        *numSplitPoints;  /* The number of replicated points at each depth */
546   PetscInt        *numHybridPoints; /* The number of hybrid points at each depth */
547   const PetscInt **splitPoints;     /* Replicated points for each depth */
548   PetscSection     coordSection;
549   Vec              coordinates;
550   PetscScalar     *coords;
551   PetscInt         depths[4];       /* Depths in the order that plex points are numbered */
552   PetscInt        *depthShift;      /* Number of replicated+hybrid points at each depth */
553   PetscInt        *depthOffset;     /* Prefix sums of depthShift */
554   PetscInt        *pMaxNew;         /* The first replicated point at each depth in the new mesh, hybrids come after this */
555   PetscInt        *coneNew, *coneONew, *supportNew;
556   PetscInt         shift = 100, depth = 0, dep, dim, d, sp, maxConeSize, maxSupportSize, numLabels, vStart, vEnd, pEnd, p, v;
557   PetscErrorCode   ierr;
558 
559   PetscFunctionBegin;
560   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
561   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
562   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
563   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
564   depths[0] = depth;
565   depths[1] = 0;
566   depths[2] = depth-1;
567   depths[3] = 1;
568   /* Count split points and add cohesive cells */
569   ierr = DMPlexGetMaxSizes(dm, &maxConeSize, &maxSupportSize);CHKERRQ(ierr);
570   ierr = PetscMalloc6(depth+1,PetscInt,&depthShift,depth+1,PetscInt,&depthOffset,depth+1,PetscInt,&pMaxNew,maxConeSize*3,PetscInt,&coneNew,maxConeSize*3,PetscInt,&coneONew,maxSupportSize,PetscInt,&supportNew);CHKERRQ(ierr);
571   ierr = PetscMalloc4(depth+1,IS,&pointIS,depth+1,PetscInt,&numSplitPoints,depth+1,PetscInt,&numHybridPoints,depth+1,const PetscInt*,&splitPoints);CHKERRQ(ierr);
572   ierr = PetscMemzero(depthShift,  (depth+1) * sizeof(PetscInt));CHKERRQ(ierr);
573   ierr = PetscMemzero(depthOffset, (depth+1) * sizeof(PetscInt));CHKERRQ(ierr);
574   for (d = 0; d <= depth; ++d) {
575     ierr               = DMPlexGetDepthStratum(dm, d, NULL, &pMaxNew[d]);CHKERRQ(ierr);
576     numSplitPoints[d]  = 0;
577     numHybridPoints[d] = 0;
578     splitPoints[d]     = NULL;
579     pointIS[d]         = NULL;
580   }
581   if (label) {
582     ierr = DMLabelGetValueIS(label, &valueIS);CHKERRQ(ierr);
583     ierr = ISGetLocalSize(valueIS, &numSP);CHKERRQ(ierr);
584     ierr = ISGetIndices(valueIS, &values);CHKERRQ(ierr);
585   }
586   for (sp = 0; sp < numSP; ++sp) {
587     const PetscInt dep = values[sp];
588 
589     if ((dep < 0) || (dep > depth)) continue;
590     ierr = DMLabelGetStratumIS(label, dep, &pointIS[dep]);CHKERRQ(ierr);
591     if (pointIS[dep]) {
592       ierr = ISGetLocalSize(pointIS[dep], &numSplitPoints[dep]);CHKERRQ(ierr);
593       ierr = ISGetIndices(pointIS[dep], &splitPoints[dep]);CHKERRQ(ierr);
594     }
595   }
596   /* Calculate number of hybrid points */
597   for (d = 1; d <= depth; ++d) numHybridPoints[d]     = numSplitPoints[d-1]; /* There is a hybrid cell/face/edge for every split face/edge/vertex   */
598   for (d = 0; d <= depth; ++d) depthShift[d]          = numSplitPoints[d] + numHybridPoints[d];
599   for (d = 1; d <= depth; ++d) depthOffset[depths[d]] = depthOffset[depths[d-1]] + depthShift[depths[d-1]];
600   for (d = 0; d <= depth; ++d) pMaxNew[d]            += depthOffset[d];
601   ierr = DMPlexShiftSizes_Internal(dm, depthShift, sdm);CHKERRQ(ierr);
602   /* Step 3: Set cone/support sizes for new points */
603   for (dep = 0; dep <= depth; ++dep) {
604     for (p = 0; p < numSplitPoints[dep]; ++p) {
605       const PetscInt  oldp   = splitPoints[dep][p];
606       const PetscInt  newp   = oldp + depthOffset[dep];
607       const PetscInt  splitp = p    + pMaxNew[dep];
608       const PetscInt *support;
609       PetscInt        coneSize, supportSize, qf, qn, qp, e;
610 
611       ierr = DMPlexGetConeSize(dm, oldp, &coneSize);CHKERRQ(ierr);
612       ierr = DMPlexSetConeSize(sdm, splitp, coneSize);CHKERRQ(ierr);
613       ierr = DMPlexGetSupportSize(dm, oldp, &supportSize);CHKERRQ(ierr);
614       ierr = DMPlexSetSupportSize(sdm, splitp, supportSize);CHKERRQ(ierr);
615       if (dep == depth-1) {
616         const PetscInt hybcell = p + pMaxNew[dep+1] + numSplitPoints[dep+1];
617 
618         /* Add cohesive cells, they are prisms */
619         ierr = DMPlexSetConeSize(sdm, hybcell, 2 + coneSize);CHKERRQ(ierr);
620       } else if (dep == 0) {
621         const PetscInt hybedge = p + pMaxNew[dep+1] + numSplitPoints[dep+1];
622 
623         ierr = DMPlexGetSupport(dm, oldp, &support);CHKERRQ(ierr);
624         for (e = 0, qn = 0, qp = 0, qf = 0; e < supportSize; ++e) {
625           PetscInt val;
626 
627           ierr = DMLabelGetValue(label, support[e], &val);CHKERRQ(ierr);
628           if (val == 1) ++qf;
629           if ((val == 1) || (val ==  (shift + 1))) ++qn;
630           if ((val == 1) || (val == -(shift + 1))) ++qp;
631         }
632         /* Split old vertex: Edges into original vertex and new cohesive edge */
633         ierr = DMPlexSetSupportSize(sdm, newp, qn+1);CHKERRQ(ierr);
634         /* Split new vertex: Edges into split vertex and new cohesive edge */
635         ierr = DMPlexSetSupportSize(sdm, splitp, qp+1);CHKERRQ(ierr);
636         /* Add hybrid edge */
637         ierr = DMPlexSetConeSize(sdm, hybedge, 2);CHKERRQ(ierr);
638         ierr = DMPlexSetSupportSize(sdm, hybedge, qf);CHKERRQ(ierr);
639       } else if (dep == dim-2) {
640         const PetscInt hybface = p + pMaxNew[dep+1] + numSplitPoints[dep+1];
641 
642         ierr = DMPlexGetSupport(dm, oldp, &support);CHKERRQ(ierr);
643         for (e = 0, qn = 0, qp = 0, qf = 0; e < supportSize; ++e) {
644           PetscInt val;
645 
646           ierr = DMLabelGetValue(label, support[e], &val);CHKERRQ(ierr);
647           if (val == dim-1) ++qf;
648           if ((val == dim-1) || (val ==  (shift + dim-1))) ++qn;
649           if ((val == dim-1) || (val == -(shift + dim-1))) ++qp;
650         }
651         /* Split old edge: Faces into original edge and cohesive face (positive side?) */
652         ierr = DMPlexSetSupportSize(sdm, newp, qn+1);CHKERRQ(ierr);
653         /* Split new edge: Faces into split edge and cohesive face (negative side?) */
654         ierr = DMPlexSetSupportSize(sdm, splitp, qp+1);CHKERRQ(ierr);
655         /* Add hybrid face */
656         ierr = DMPlexSetConeSize(sdm, hybface, 4);CHKERRQ(ierr);
657         ierr = DMPlexSetSupportSize(sdm, hybface, qf);CHKERRQ(ierr);
658       }
659     }
660   }
661   /* Step 4: Setup split DM */
662   ierr = DMSetUp(sdm);CHKERRQ(ierr);
663   ierr = DMPlexShiftPoints_Internal(dm, depthShift, sdm);CHKERRQ(ierr);
664   /* Step 6: Set cones and supports for new points */
665   for (dep = 0; dep <= depth; ++dep) {
666     for (p = 0; p < numSplitPoints[dep]; ++p) {
667       const PetscInt  oldp   = splitPoints[dep][p];
668       const PetscInt  newp   = oldp + depthOffset[dep];
669       const PetscInt  splitp = p    + pMaxNew[dep];
670       const PetscInt *cone, *support, *ornt;
671       PetscInt        coneSize, supportSize, q, qf, qn, qp, v, e, s;
672 
673       ierr = DMPlexGetConeSize(dm, oldp, &coneSize);CHKERRQ(ierr);
674       ierr = DMPlexGetCone(dm, oldp, &cone);CHKERRQ(ierr);
675       ierr = DMPlexGetConeOrientation(dm, oldp, &ornt);CHKERRQ(ierr);
676       ierr = DMPlexGetSupportSize(dm, oldp, &supportSize);CHKERRQ(ierr);
677       ierr = DMPlexGetSupport(dm, oldp, &support);CHKERRQ(ierr);
678       if (dep == depth-1) {
679         const PetscInt  hybcell = p + pMaxNew[dep+1] + numSplitPoints[dep+1];
680         const PetscInt *supportF;
681 
682         /* Split face:       copy in old face to new face to start */
683         ierr = DMPlexGetSupport(sdm, newp,  &supportF);CHKERRQ(ierr);
684         ierr = DMPlexSetSupport(sdm, splitp, supportF);CHKERRQ(ierr);
685         /* Split old face:   old vertices/edges in cone so no change */
686         /* Split new face:   new vertices/edges in cone */
687         for (q = 0; q < coneSize; ++q) {
688           ierr = PetscFindInt(cone[q], numSplitPoints[dep-1], splitPoints[dep-1], &v);CHKERRQ(ierr);
689 
690           coneNew[2+q] = v + pMaxNew[dep-1];
691         }
692         ierr = DMPlexSetCone(sdm, splitp, &coneNew[2]);CHKERRQ(ierr);
693         ierr = DMPlexSetConeOrientation(sdm, splitp, ornt);CHKERRQ(ierr);
694         /* Face support */
695         for (s = 0; s < supportSize; ++s) {
696           PetscInt val;
697 
698           ierr = DMLabelGetValue(label, support[s], &val);CHKERRQ(ierr);
699           if (val < 0) {
700             /* Split old face:   Replace negative side cell with cohesive cell */
701              ierr = DMPlexInsertSupport(sdm, newp, s, hybcell);CHKERRQ(ierr);
702           } else {
703             /* Split new face:   Replace positive side cell with cohesive cell */
704             ierr = DMPlexInsertSupport(sdm, splitp, s, hybcell);CHKERRQ(ierr);
705             /* Get orientation for cohesive face */
706             {
707               const PetscInt *ncone, *nconeO;
708               PetscInt        nconeSize, nc;
709 
710               ierr = DMPlexGetConeSize(dm, support[s], &nconeSize);CHKERRQ(ierr);
711               ierr = DMPlexGetCone(dm, support[s], &ncone);CHKERRQ(ierr);
712               ierr = DMPlexGetConeOrientation(dm, support[s], &nconeO);CHKERRQ(ierr);
713               for (nc = 0; nc < nconeSize; ++nc) {
714                 if (ncone[nc] == oldp) {
715                   coneONew[0] = nconeO[nc];
716                   break;
717                 }
718               }
719               if (nc >= nconeSize) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Could not locate face %d in neighboring cell %d", oldp, support[s]);
720             }
721           }
722         }
723         /* Cohesive cell:    Old and new split face, then new cohesive faces */
724         coneNew[0]  = newp;   /* Extracted negative side orientation above */
725         coneNew[1]  = splitp;
726         coneONew[1] = coneONew[0];
727         for (q = 0; q < coneSize; ++q) {
728           coneNew[2+q] += (pMaxNew[dep] - pMaxNew[dep-1]) + numSplitPoints[dep];
729           coneONew[2+q] = 0;
730         }
731         ierr = DMPlexSetCone(sdm, hybcell, coneNew);CHKERRQ(ierr);
732         ierr = DMPlexSetConeOrientation(sdm, hybcell, coneONew);CHKERRQ(ierr);
733       } else if (dep == 0) {
734         const PetscInt hybedge = p + pMaxNew[dep+1] + numSplitPoints[dep+1];
735 
736         /* Split old vertex: Edges in old split faces and new cohesive edge */
737         for (e = 0, qn = 0; e < supportSize; ++e) {
738           PetscInt val;
739 
740           ierr = DMLabelGetValue(label, support[e], &val);CHKERRQ(ierr);
741           if ((val == 1) || (val == (shift + 1))) {
742             supportNew[qn++] = support[e] + depthOffset[dep+1];
743           }
744         }
745         supportNew[qn] = hybedge;
746         ierr = DMPlexSetSupport(sdm, newp, supportNew);CHKERRQ(ierr);
747         /* Split new vertex: Edges in new split faces and new cohesive edge */
748         for (e = 0, qp = 0; e < supportSize; ++e) {
749           PetscInt val, edge;
750 
751           ierr = DMLabelGetValue(label, support[e], &val);CHKERRQ(ierr);
752           if (val == 1) {
753             ierr = PetscFindInt(support[e], numSplitPoints[dep+1], splitPoints[dep+1], &edge);CHKERRQ(ierr);
754             if (edge < 0) SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Edge %d is not a split edge", support[e]);
755             supportNew[qp++] = edge + pMaxNew[dep+1];
756           } else if (val == -(shift + 1)) {
757             supportNew[qp++] = support[e] + depthOffset[dep+1];
758           }
759         }
760         supportNew[qp] = hybedge;
761         ierr = DMPlexSetSupport(sdm, splitp, supportNew);CHKERRQ(ierr);
762         /* Hybrid edge:    Old and new split vertex */
763         coneNew[0] = newp;
764         coneNew[1] = splitp;
765         ierr = DMPlexSetCone(sdm, hybedge, coneNew);CHKERRQ(ierr);
766         for (e = 0, qf = 0; e < supportSize; ++e) {
767           PetscInt val, edge;
768 
769           ierr = DMLabelGetValue(label, support[e], &val);CHKERRQ(ierr);
770           if (val == 1) {
771             ierr = PetscFindInt(support[e], numSplitPoints[dep+1], splitPoints[dep+1], &edge);CHKERRQ(ierr);
772             if (edge < 0) SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Edge %d is not a split edge", support[e]);
773             supportNew[qf++] = edge + pMaxNew[dep+2] + numSplitPoints[dep+2];
774           }
775         }
776         ierr = DMPlexSetSupport(sdm, hybedge, supportNew);CHKERRQ(ierr);
777       } else if (dep == dim-2) {
778         const PetscInt hybface = p + pMaxNew[dep+1] + numSplitPoints[dep+1];
779 
780         /* Split old edge:   old vertices in cone so no change */
781         /* Split new edge:   new vertices in cone */
782         for (q = 0; q < coneSize; ++q) {
783           ierr = PetscFindInt(cone[q], numSplitPoints[dep-1], splitPoints[dep-1], &v);CHKERRQ(ierr);
784 
785           coneNew[q] = v + pMaxNew[dep-1];
786         }
787         ierr = DMPlexSetCone(sdm, splitp, coneNew);CHKERRQ(ierr);
788         /* Split old edge: Faces in positive side cells and old split faces */
789         for (e = 0, q = 0; e < supportSize; ++e) {
790           PetscInt val;
791 
792           ierr = DMLabelGetValue(label, support[e], &val);CHKERRQ(ierr);
793           if (val == dim-1) {
794             supportNew[q++] = p + pMaxNew[dep+1] + numSplitPoints[dep+1];
795             supportNew[q++] = support[e] + depthOffset[dep+1];
796           } else if (val == (shift + dim-1)) {
797             supportNew[q++] = support[e] + depthOffset[dep+1];
798           }
799         }
800         ierr = DMPlexSetSupport(sdm, newp, supportNew);CHKERRQ(ierr);
801         /* Split new edge: Faces in negative side cells and new split faces */
802         for (e = 0, q = 0; e < supportSize; ++e) {
803           PetscInt val, face;
804 
805           ierr = DMLabelGetValue(label, support[e], &val);CHKERRQ(ierr);
806           if (val == dim-1) {
807             supportNew[q++] = p + pMaxNew[dep+1] + numSplitPoints[dep+1];
808             ierr = PetscFindInt(support[e], numSplitPoints[dep+1], splitPoints[dep+1], &face);CHKERRQ(ierr);
809             if (face < 0) SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Face %d is not a split face", support[e]);
810             supportNew[q++] = face + pMaxNew[dep+1];
811           } else if (val == -(shift + dim-1)) {
812             supportNew[q++] = support[e] + depthOffset[dep+1];
813           }
814         }
815         ierr = DMPlexSetSupport(sdm, splitp, supportNew);CHKERRQ(ierr);
816         /* Hybrid face */
817         coneNew[0] = newp;
818         coneNew[1] = splitp;
819         for (v = 0; v < coneSize; ++v) {
820           PetscInt vertex;
821           ierr = PetscFindInt(cone[v], numSplitPoints[dep-1], splitPoints[dep-1], &vertex);CHKERRQ(ierr);
822           if (vertex < 0) SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Vertex %d is not a split vertex", support[e]);
823           coneNew[2+v] = vertex + pMaxNew[dep] + numSplitPoints[dep];
824         }
825         ierr = DMPlexSetCone(sdm, hybface, coneNew);CHKERRQ(ierr);
826         for (e = 0, qf = 0; e < supportSize; ++e) {
827           PetscInt val, face;
828 
829           ierr = DMLabelGetValue(label, support[e], &val);CHKERRQ(ierr);
830           if (val == dim-1) {
831             ierr = PetscFindInt(support[e], numSplitPoints[dep+1], splitPoints[dep+1], &face);CHKERRQ(ierr);
832             if (face < 0) SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Face %d is not a split face", support[e]);
833             supportNew[qf++] = face + pMaxNew[dep+2] + numSplitPoints[dep+2];
834           }
835         }
836         ierr = DMPlexSetSupport(sdm, hybface, supportNew);CHKERRQ(ierr);
837       }
838     }
839   }
840   /* Step 6b: Replace split points in negative side cones */
841   for (sp = 0; sp < numSP; ++sp) {
842     PetscInt        dep = values[sp];
843     IS              pIS;
844     PetscInt        numPoints;
845     const PetscInt *points;
846 
847     if (dep >= 0) continue;
848     ierr = DMLabelGetStratumIS(label, dep, &pIS);CHKERRQ(ierr);
849     if (!pIS) continue;
850     dep  = -dep - shift;
851     ierr = ISGetLocalSize(pIS, &numPoints);CHKERRQ(ierr);
852     ierr = ISGetIndices(pIS, &points);CHKERRQ(ierr);
853     for (p = 0; p < numPoints; ++p) {
854       const PetscInt  oldp = points[p];
855       const PetscInt  newp = depthOffset[dep] + oldp;
856       const PetscInt *cone;
857       PetscInt        coneSize, c;
858       /* PetscBool       replaced = PETSC_FALSE; */
859 
860       /* Negative edge: replace split vertex */
861       /* Negative cell: replace split face */
862       ierr = DMPlexGetConeSize(sdm, newp, &coneSize);CHKERRQ(ierr);
863       ierr = DMPlexGetCone(sdm, newp, &cone);CHKERRQ(ierr);
864       for (c = 0; c < coneSize; ++c) {
865         const PetscInt coldp = cone[c] - depthOffset[dep-1];
866         PetscInt       csplitp, cp, val;
867 
868         ierr = DMLabelGetValue(label, coldp, &val);CHKERRQ(ierr);
869         if (val == dep-1) {
870           ierr = PetscFindInt(coldp, numSplitPoints[dep-1], splitPoints[dep-1], &cp);CHKERRQ(ierr);
871           if (cp < 0) SETERRQ2(comm, PETSC_ERR_ARG_WRONG, "Point %d is not a split point of dimension %d", oldp, dep-1);
872           csplitp  = pMaxNew[dep-1] + cp;
873           ierr     = DMPlexInsertCone(sdm, newp, c, csplitp);CHKERRQ(ierr);
874           /* replaced = PETSC_TRUE; */
875         }
876       }
877       /* Cells with only a vertex or edge on the submesh have no replacement */
878       /* if (!replaced) SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "The cone of point %d does not contain split points", oldp); */
879     }
880     ierr = ISRestoreIndices(pIS, &points);CHKERRQ(ierr);
881     ierr = ISDestroy(&pIS);CHKERRQ(ierr);
882   }
883   /* Step 7: Stratify */
884   ierr = DMPlexStratify(sdm);CHKERRQ(ierr);
885   /* Step 8: Coordinates */
886   ierr = DMPlexShiftCoordinates_Internal(dm, depthShift, sdm);CHKERRQ(ierr);
887   ierr = DMPlexGetCoordinateSection(sdm, &coordSection);CHKERRQ(ierr);
888   ierr = DMGetCoordinatesLocal(sdm, &coordinates);CHKERRQ(ierr);
889   ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
890   for (v = 0; v < (numSplitPoints ? numSplitPoints[0] : 0); ++v) {
891     const PetscInt newp   = depthOffset[0] + splitPoints[0][v];
892     const PetscInt splitp = pMaxNew[0] + v;
893     PetscInt       dof, off, soff, d;
894 
895     ierr = PetscSectionGetDof(coordSection, newp, &dof);CHKERRQ(ierr);
896     ierr = PetscSectionGetOffset(coordSection, newp, &off);CHKERRQ(ierr);
897     ierr = PetscSectionGetOffset(coordSection, splitp, &soff);CHKERRQ(ierr);
898     for (d = 0; d < dof; ++d) coords[soff+d] = coords[off+d];
899   }
900   ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
901   /* Step 9: SF, if I can figure this out we can split the mesh in parallel */
902   ierr = DMPlexShiftSF_Internal(dm, depthShift, sdm);CHKERRQ(ierr);
903   /* Step 10: Labels */
904   ierr = DMPlexShiftLabels_Internal(dm, depthShift, sdm);CHKERRQ(ierr);
905   ierr = DMPlexGetNumLabels(sdm, &numLabels);CHKERRQ(ierr);
906   for (dep = 0; dep <= depth; ++dep) {
907     for (p = 0; p < numSplitPoints[dep]; ++p) {
908       const PetscInt newp   = depthOffset[dep] + splitPoints[dep][p];
909       const PetscInt splitp = pMaxNew[dep] + p;
910       PetscInt       l;
911 
912       for (l = 0; l < numLabels; ++l) {
913         DMLabel     mlabel;
914         const char *lname;
915         PetscInt    val;
916         PetscBool   isDepth;
917 
918         ierr = DMPlexGetLabelName(sdm, l, &lname);CHKERRQ(ierr);
919         ierr = PetscStrcmp(lname, "depth", &isDepth);CHKERRQ(ierr);
920         if (isDepth) continue;
921         ierr = DMPlexGetLabel(sdm, lname, &mlabel);CHKERRQ(ierr);
922         ierr = DMLabelGetValue(mlabel, newp, &val);CHKERRQ(ierr);
923         if (val >= 0) {
924           ierr = DMLabelSetValue(mlabel, splitp, val);CHKERRQ(ierr);
925 #if 0
926           /* Do not put cohesive edges into the label */
927           if (dep == 0) {
928             const PetscInt cedge = p + pMaxNew[dep+1] + numSplitPoints[dep+1];
929             ierr = DMLabelSetValue(mlabel, cedge, val);CHKERRQ(ierr);
930           } else if (dep == dim-2) {
931             const PetscInt cface = p + pMaxNew[dep+1] + numSplitPoints[dep+1];
932             ierr = DMLabelSetValue(mlabel, cface, val);CHKERRQ(ierr);
933           }
934           /* Do not put cohesive faces into the label */
935 #endif
936         }
937       }
938     }
939   }
940   for (sp = 0; sp < numSP; ++sp) {
941     const PetscInt dep = values[sp];
942 
943     if ((dep < 0) || (dep > depth)) continue;
944     if (pointIS[dep]) {ierr = ISRestoreIndices(pointIS[dep], &splitPoints[dep]);CHKERRQ(ierr);}
945     ierr = ISDestroy(&pointIS[dep]);CHKERRQ(ierr);
946   }
947   if (label) {
948     ierr = ISRestoreIndices(valueIS, &values);CHKERRQ(ierr);
949     ierr = ISDestroy(&valueIS);CHKERRQ(ierr);
950   }
951   ierr = DMPlexGetChart(sdm, NULL, &pEnd);CHKERRQ(ierr);
952   if (depth > 0) pMaxNew[0] += depthShift[0];        /* Account for shadow vertices */
953   if (depth > 1) pMaxNew[1]  = pEnd - depthShift[0]; /* There is a hybrid edge for every shadow vertex */
954   if (depth > 2) pMaxNew[2]  = -1;                   /* There are no hybrid faces */
955   ierr = DMPlexSetHybridBounds(sdm, depth >= 0 ? pMaxNew[depth] : PETSC_DETERMINE, depth>1 ? pMaxNew[depth-1] : PETSC_DETERMINE, depth>2 ? pMaxNew[1] : PETSC_DETERMINE, depth >= 0 ? pMaxNew[0] : PETSC_DETERMINE);CHKERRQ(ierr);
956   ierr = PetscFree6(depthShift, depthOffset, pMaxNew, coneNew, coneONew, supportNew);CHKERRQ(ierr);
957   ierr = PetscFree4(pointIS, numSplitPoints, numHybridPoints, splitPoints);CHKERRQ(ierr);
958   PetscFunctionReturn(0);
959 }
960 
961 #undef __FUNCT__
962 #define __FUNCT__ "DMPlexConstructCohesiveCells"
963 /*@C
964   DMPlexConstructCohesiveCells - Construct cohesive cells which split the face along an internal interface
965 
966   Collective on dm
967 
968   Input Parameters:
969 + dm - The original DM
970 - labelName - The label specifying the boundary faces (this could be auto-generated)
971 
972   Output Parameters:
973 - dmSplit - The new DM
974 
975   Level: developer
976 
977 .seealso: DMCreate(), DMPlexLabelCohesiveComplete()
978 @*/
979 PetscErrorCode DMPlexConstructCohesiveCells(DM dm, DMLabel label, DM *dmSplit)
980 {
981   DM             sdm;
982   PetscInt       dim;
983   PetscErrorCode ierr;
984 
985   PetscFunctionBegin;
986   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
987   PetscValidPointer(dmSplit, 4);
988   ierr = DMCreate(PetscObjectComm((PetscObject)dm), &sdm);CHKERRQ(ierr);
989   ierr = DMSetType(sdm, DMPLEX);CHKERRQ(ierr);
990   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
991   ierr = DMPlexSetDimension(sdm, dim);CHKERRQ(ierr);
992   switch (dim) {
993   case 2:
994   case 3:
995     ierr = DMPlexConstructCohesiveCells_Internal(dm, label, sdm);CHKERRQ(ierr);
996     break;
997   default:
998     SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Cannot construct cohesive cells for dimension %d", dim);
999   }
1000   *dmSplit = sdm;
1001   PetscFunctionReturn(0);
1002 }
1003 
1004 #undef __FUNCT__
1005 #define __FUNCT__ "DMPlexLabelCohesiveComplete"
1006 /*@
1007   DMPlexLabelCohesiveComplete - Starting with a label marking vertices on an internal surface, we add all other mesh pieces
1008   to complete the surface
1009 
1010   Input Parameters:
1011 + dm - The DM
1012 . label - A DMLabel marking the surface vertices
1013 . flip  - Flag to flip the submesh normal and replace points on the other side
1014 - subdm - The subDM associated with the label, or NULL
1015 
1016   Output Parameter:
1017 . label - A DMLabel marking all surface points
1018 
1019   Level: developer
1020 
1021 .seealso: DMPlexConstructCohesiveCells(), DMPlexLabelComplete()
1022 @*/
1023 PetscErrorCode DMPlexLabelCohesiveComplete(DM dm, DMLabel label, PetscBool flip, DM subdm)
1024 {
1025   DMLabel         depthLabel;
1026   IS              dimIS, subpointIS;
1027   const PetscInt *points, *subpoints;
1028   const PetscInt  rev   = flip ? -1 : 1;
1029   PetscInt        shift = 100, dim, dep, cStart, cEnd, numPoints, numSubpoints, p, val;
1030   PetscErrorCode  ierr;
1031 
1032   PetscFunctionBegin;
1033   ierr = DMPlexGetDepthLabel(dm, &depthLabel);CHKERRQ(ierr);
1034   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
1035   if (subdm) {
1036     ierr = DMPlexCreateSubpointIS(subdm, &subpointIS);CHKERRQ(ierr);
1037     if (subpointIS) {
1038       ierr = ISGetLocalSize(subpointIS, &numSubpoints);CHKERRQ(ierr);
1039       ierr = ISGetIndices(subpointIS, &subpoints);CHKERRQ(ierr);
1040     }
1041   }
1042   /* Cell orientation for face gives the side of the fault */
1043   ierr = DMLabelGetStratumIS(label, dim-1, &dimIS);CHKERRQ(ierr);
1044   if (!dimIS) PetscFunctionReturn(0);
1045   ierr = ISGetLocalSize(dimIS, &numPoints);CHKERRQ(ierr);
1046   ierr = ISGetIndices(dimIS, &points);CHKERRQ(ierr);
1047   for (p = 0; p < numPoints; ++p) {
1048     const PetscInt *support;
1049     PetscInt        supportSize, s;
1050 
1051     ierr = DMPlexGetSupportSize(dm, points[p], &supportSize);CHKERRQ(ierr);
1052     if (supportSize != 2) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Split face %d has %d != 2 supports", points[p], supportSize);
1053     ierr = DMPlexGetSupport(dm, points[p], &support);CHKERRQ(ierr);
1054     for (s = 0; s < supportSize; ++s) {
1055       const PetscInt *cone, *ornt;
1056       PetscInt        coneSize, c;
1057       PetscBool       pos = PETSC_TRUE;
1058 
1059       ierr = DMPlexGetConeSize(dm, support[s], &coneSize);CHKERRQ(ierr);
1060       ierr = DMPlexGetCone(dm, support[s], &cone);CHKERRQ(ierr);
1061       ierr = DMPlexGetConeOrientation(dm, support[s], &ornt);CHKERRQ(ierr);
1062       for (c = 0; c < coneSize; ++c) {
1063         if (cone[c] == points[p]) {
1064           PetscInt o = ornt[c];
1065 
1066           if (subdm) {
1067             const PetscInt *subcone, *subornt;
1068             PetscInt        subpoint, subface, subconeSize, sc;
1069 
1070             ierr = PetscFindInt(support[s], numSubpoints, subpoints, &subpoint);CHKERRQ(ierr);
1071             ierr = PetscFindInt(points[p],  numSubpoints, subpoints, &subface);CHKERRQ(ierr);
1072             ierr = DMPlexGetConeSize(subdm, subpoint, &subconeSize);CHKERRQ(ierr);
1073             ierr = DMPlexGetCone(subdm, subpoint, &subcone);CHKERRQ(ierr);
1074             ierr = DMPlexGetConeOrientation(subdm, subpoint, &subornt);CHKERRQ(ierr);
1075             for (sc = 0; sc < subconeSize; ++sc) {
1076               if (subcone[sc] == subface) {
1077                 o = subornt[0];
1078                 break;
1079               }
1080             }
1081             if (sc >= subconeSize) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Could not find point %d in cone for subpoint %d", points[p], subpoint);
1082           }
1083           if (o >= 0) {
1084             ierr = DMLabelSetValue(label, support[s],  rev*(shift+dim));CHKERRQ(ierr);
1085             pos  = rev > 0 ? PETSC_TRUE : PETSC_FALSE;
1086           } else {
1087             ierr = DMLabelSetValue(label, support[s], -rev*(shift+dim));CHKERRQ(ierr);
1088             pos  = rev > 0 ? PETSC_FALSE : PETSC_TRUE;
1089           }
1090           break;
1091         }
1092       }
1093       if (c == coneSize) SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Cell split face %d support does not have it in the cone", points[p]);
1094       /* Put faces touching the fault in the label */
1095       for (c = 0; c < coneSize; ++c) {
1096         const PetscInt point = cone[c];
1097 
1098         ierr = DMLabelGetValue(label, point, &val);CHKERRQ(ierr);
1099         if (val == -1) {
1100           PetscInt *closure = NULL;
1101           PetscInt  closureSize, cl;
1102 
1103           ierr = DMPlexGetTransitiveClosure(dm, point, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
1104           for (cl = 0; cl < closureSize*2; cl += 2) {
1105             const PetscInt clp = closure[cl];
1106 
1107             ierr = DMLabelGetValue(label, clp, &val);CHKERRQ(ierr);
1108             if ((val >= 0) && (val < dim-1)) {
1109               ierr = DMLabelSetValue(label, point, pos == PETSC_TRUE ? shift+dim-1 : -(shift+dim-1));CHKERRQ(ierr);
1110               break;
1111             }
1112           }
1113           ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
1114         }
1115       }
1116     }
1117   }
1118   if (subdm) {
1119     if (subpointIS) {ierr = ISRestoreIndices(subpointIS, &subpoints);CHKERRQ(ierr);}
1120     ierr = ISDestroy(&subpointIS);CHKERRQ(ierr);
1121   }
1122   ierr = ISRestoreIndices(dimIS, &points);CHKERRQ(ierr);
1123   ierr = ISDestroy(&dimIS);CHKERRQ(ierr);
1124   /* Search for other cells/faces/edges connected to the fault by a vertex */
1125   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
1126   ierr = DMLabelGetStratumIS(label, 0, &dimIS);CHKERRQ(ierr);
1127   if (!dimIS) PetscFunctionReturn(0);
1128   ierr = ISGetLocalSize(dimIS, &numPoints);CHKERRQ(ierr);
1129   ierr = ISGetIndices(dimIS, &points);CHKERRQ(ierr);
1130   for (p = 0; p < numPoints; ++p) {
1131     PetscInt *star = NULL;
1132     PetscInt  starSize, s;
1133     PetscInt  again = 1;  /* 0: Finished 1: Keep iterating after a change 2: No change */
1134 
1135     /* First mark cells connected to the fault */
1136     ierr = DMPlexGetTransitiveClosure(dm, points[p], PETSC_FALSE, &starSize, &star);CHKERRQ(ierr);
1137     while (again) {
1138       if (again > 1) SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Could not classify all cells connected to the fault");
1139       again = 0;
1140       for (s = 0; s < starSize*2; s += 2) {
1141         const PetscInt  point = star[s];
1142         const PetscInt *cone;
1143         PetscInt        coneSize, c;
1144 
1145         if ((point < cStart) || (point >= cEnd)) continue;
1146         ierr = DMLabelGetValue(label, point, &val);CHKERRQ(ierr);
1147         if (val != -1) continue;
1148         again = 2;
1149         ierr  = DMPlexGetConeSize(dm, point, &coneSize);CHKERRQ(ierr);
1150         ierr  = DMPlexGetCone(dm, point, &cone);CHKERRQ(ierr);
1151         for (c = 0; c < coneSize; ++c) {
1152           ierr = DMLabelGetValue(label, cone[c], &val);CHKERRQ(ierr);
1153           if (val != -1) {
1154             if (abs(val) < shift) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Face %d on cell %d has an invalid label %d", cone[c], point, val);
1155             if (val > 0) {
1156               ierr = DMLabelSetValue(label, point,   shift+dim);CHKERRQ(ierr);
1157             } else {
1158               ierr = DMLabelSetValue(label, point, -(shift+dim));CHKERRQ(ierr);
1159             }
1160             again = 1;
1161             break;
1162           }
1163         }
1164       }
1165     }
1166     /* Classify the rest by cell membership */
1167     for (s = 0; s < starSize*2; s += 2) {
1168       const PetscInt point = star[s];
1169 
1170       ierr = DMLabelGetValue(label, point, &val);CHKERRQ(ierr);
1171       if (val == -1) {
1172         PetscInt  *sstar = NULL;
1173         PetscInt   sstarSize, ss;
1174         PetscBool  marked = PETSC_FALSE;
1175 
1176         ierr = DMPlexGetTransitiveClosure(dm, point, PETSC_FALSE, &sstarSize, &sstar);CHKERRQ(ierr);
1177         for (ss = 0; ss < sstarSize*2; ss += 2) {
1178           const PetscInt spoint = sstar[ss];
1179 
1180           if ((spoint < cStart) || (spoint >= cEnd)) continue;
1181           ierr = DMLabelGetValue(label, spoint, &val);CHKERRQ(ierr);
1182           if (val == -1) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Cell %d in star of %d does not have a valid label", spoint, point);
1183           ierr = DMLabelGetValue(depthLabel, point, &dep);CHKERRQ(ierr);
1184           if (val > 0) {
1185             ierr = DMLabelSetValue(label, point,   shift+dep);CHKERRQ(ierr);
1186           } else {
1187             ierr = DMLabelSetValue(label, point, -(shift+dep));CHKERRQ(ierr);
1188           }
1189           marked = PETSC_TRUE;
1190           break;
1191         }
1192         ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_FALSE, &sstarSize, &sstar);CHKERRQ(ierr);
1193         if (!marked) SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d could not be classified", point);
1194       }
1195     }
1196     ierr = DMPlexRestoreTransitiveClosure(dm, points[p], PETSC_FALSE, &starSize, &star);CHKERRQ(ierr);
1197   }
1198   ierr = ISRestoreIndices(dimIS, &points);CHKERRQ(ierr);
1199   ierr = ISDestroy(&dimIS);CHKERRQ(ierr);
1200   PetscFunctionReturn(0);
1201 }
1202 
1203 #undef __FUNCT__
1204 #define __FUNCT__ "DMPlexMarkSubmesh_Uninterpolated"
1205 /* Here we need the explicit assumption that:
1206 
1207      For any marked cell, the marked vertices constitute a single face
1208 */
1209 static PetscErrorCode DMPlexMarkSubmesh_Uninterpolated(DM dm, DMLabel vertexLabel, PetscInt value, DMLabel subpointMap, PetscInt *numFaces, PetscInt *nFV, DM subdm)
1210 {
1211   IS               subvertexIS = NULL;
1212   const PetscInt  *subvertices;
1213   PetscInt        *pStart, *pEnd, *pMax, pSize;
1214   PetscInt         depth, dim, d, numSubVerticesInitial = 0, v;
1215   PetscErrorCode   ierr;
1216 
1217   PetscFunctionBegin;
1218   *numFaces = 0;
1219   *nFV      = 0;
1220   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
1221   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
1222   pSize = PetscMax(depth, dim) + 1;
1223   ierr = PetscMalloc3(pSize,PetscInt,&pStart,pSize,PetscInt,&pEnd,pSize,PetscInt,&pMax);CHKERRQ(ierr);
1224   ierr = DMPlexGetHybridBounds(dm, depth >= 0 ? &pMax[depth] : NULL, depth>1 ? &pMax[depth-1] : NULL, depth>2 ? &pMax[1] : NULL, &pMax[0]);CHKERRQ(ierr);
1225   for (d = 0; d <= depth; ++d) {
1226     ierr = DMPlexGetDepthStratum(dm, d, &pStart[d], &pEnd[d]);CHKERRQ(ierr);
1227     if (pMax[d] >= 0) pEnd[d] = PetscMin(pEnd[d], pMax[d]);
1228   }
1229   /* Loop over initial vertices and mark all faces in the collective star() */
1230   if (vertexLabel) {ierr = DMLabelGetStratumIS(vertexLabel, value, &subvertexIS);CHKERRQ(ierr);}
1231   if (subvertexIS) {
1232     ierr = ISGetSize(subvertexIS, &numSubVerticesInitial);CHKERRQ(ierr);
1233     ierr = ISGetIndices(subvertexIS, &subvertices);CHKERRQ(ierr);
1234   }
1235   for (v = 0; v < numSubVerticesInitial; ++v) {
1236     const PetscInt vertex = subvertices[v];
1237     PetscInt      *star   = NULL;
1238     PetscInt       starSize, s, numCells = 0, c;
1239 
1240     ierr = DMPlexGetTransitiveClosure(dm, vertex, PETSC_FALSE, &starSize, &star);CHKERRQ(ierr);
1241     for (s = 0; s < starSize*2; s += 2) {
1242       const PetscInt point = star[s];
1243       if ((point >= pStart[depth]) && (point < pEnd[depth])) star[numCells++] = point;
1244     }
1245     for (c = 0; c < numCells; ++c) {
1246       const PetscInt cell    = star[c];
1247       PetscInt      *closure = NULL;
1248       PetscInt       closureSize, cl;
1249       PetscInt       cellLoc, numCorners = 0, faceSize = 0;
1250 
1251       ierr = DMLabelGetValue(subpointMap, cell, &cellLoc);CHKERRQ(ierr);
1252       if (cellLoc == 2) continue;
1253       if (cellLoc >= 0) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Cell %d has dimension %d in the surface label", cell, cellLoc);
1254       ierr = DMPlexGetTransitiveClosure(dm, cell, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
1255       for (cl = 0; cl < closureSize*2; cl += 2) {
1256         const PetscInt point = closure[cl];
1257         PetscInt       vertexLoc;
1258 
1259         if ((point >= pStart[0]) && (point < pEnd[0])) {
1260           ++numCorners;
1261           ierr = DMLabelGetValue(vertexLabel, point, &vertexLoc);CHKERRQ(ierr);
1262           if (vertexLoc == value) closure[faceSize++] = point;
1263         }
1264       }
1265       if (!(*nFV)) {ierr = DMPlexGetNumFaceVertices(dm, dim, numCorners, nFV);CHKERRQ(ierr);}
1266       if (faceSize > *nFV) SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Invalid submesh: Too many vertices %d of an element on the surface", faceSize);
1267       if (faceSize == *nFV) {
1268         const PetscInt *cells = NULL;
1269         PetscInt        numCells, nc;
1270 
1271         ++(*numFaces);
1272         for (cl = 0; cl < faceSize; ++cl) {
1273           ierr = DMLabelSetValue(subpointMap, closure[cl], 0);CHKERRQ(ierr);
1274         }
1275         ierr = DMPlexGetJoin(dm, faceSize, closure, &numCells, &cells);CHKERRQ(ierr);
1276         for (nc = 0; nc < numCells; ++nc) {
1277           ierr = DMLabelSetValue(subpointMap, cells[nc], 2);CHKERRQ(ierr);
1278         }
1279         ierr = DMPlexRestoreJoin(dm, faceSize, closure, &numCells, &cells);CHKERRQ(ierr);
1280       }
1281       ierr = DMPlexRestoreTransitiveClosure(dm, cell, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
1282     }
1283     ierr = DMPlexRestoreTransitiveClosure(dm, vertex, PETSC_FALSE, &starSize, &star);CHKERRQ(ierr);
1284   }
1285   if (subvertexIS) {
1286     ierr = ISRestoreIndices(subvertexIS, &subvertices);CHKERRQ(ierr);
1287   }
1288   ierr = ISDestroy(&subvertexIS);CHKERRQ(ierr);
1289   ierr = PetscFree3(pStart,pEnd,pMax);CHKERRQ(ierr);
1290   PetscFunctionReturn(0);
1291 }
1292 
1293 #undef __FUNCT__
1294 #define __FUNCT__ "DMPlexMarkSubmesh_Interpolated"
1295 static PetscErrorCode DMPlexMarkSubmesh_Interpolated(DM dm, DMLabel vertexLabel, PetscInt value, DMLabel subpointMap, DM subdm)
1296 {
1297   IS               subvertexIS;
1298   const PetscInt  *subvertices;
1299   PetscInt        *pStart, *pEnd, *pMax;
1300   PetscInt         dim, d, numSubVerticesInitial = 0, v;
1301   PetscErrorCode   ierr;
1302 
1303   PetscFunctionBegin;
1304   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
1305   ierr = PetscMalloc3(dim+1,PetscInt,&pStart,dim+1,PetscInt,&pEnd,dim+1,PetscInt,&pMax);CHKERRQ(ierr);
1306   ierr = DMPlexGetHybridBounds(dm, &pMax[dim], dim>1 ? &pMax[dim-1] : NULL, dim > 2 ? &pMax[1] : NULL, &pMax[0]);CHKERRQ(ierr);
1307   for (d = 0; d <= dim; ++d) {
1308     ierr = DMPlexGetDepthStratum(dm, d, &pStart[d], &pEnd[d]);CHKERRQ(ierr);
1309     if (pMax[d] >= 0) pEnd[d] = PetscMin(pEnd[d], pMax[d]);
1310   }
1311   /* Loop over initial vertices and mark all faces in the collective star() */
1312   ierr = DMLabelGetStratumIS(vertexLabel, value, &subvertexIS);CHKERRQ(ierr);
1313   if (subvertexIS) {
1314     ierr = ISGetSize(subvertexIS, &numSubVerticesInitial);CHKERRQ(ierr);
1315     ierr = ISGetIndices(subvertexIS, &subvertices);CHKERRQ(ierr);
1316   }
1317   for (v = 0; v < numSubVerticesInitial; ++v) {
1318     const PetscInt vertex = subvertices[v];
1319     PetscInt      *star   = NULL;
1320     PetscInt       starSize, s, numFaces = 0, f;
1321 
1322     ierr = DMPlexGetTransitiveClosure(dm, vertex, PETSC_FALSE, &starSize, &star);CHKERRQ(ierr);
1323     for (s = 0; s < starSize*2; s += 2) {
1324       const PetscInt point = star[s];
1325       if ((point >= pStart[dim-1]) && (point < pEnd[dim-1])) star[numFaces++] = point;
1326     }
1327     for (f = 0; f < numFaces; ++f) {
1328       const PetscInt face    = star[f];
1329       PetscInt      *closure = NULL;
1330       PetscInt       closureSize, c;
1331       PetscInt       faceLoc;
1332 
1333       ierr = DMLabelGetValue(subpointMap, face, &faceLoc);CHKERRQ(ierr);
1334       if (faceLoc == dim-1) continue;
1335       if (faceLoc >= 0) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Face %d has dimension %d in the surface label", face, faceLoc);
1336       ierr = DMPlexGetTransitiveClosure(dm, face, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
1337       for (c = 0; c < closureSize*2; c += 2) {
1338         const PetscInt point = closure[c];
1339         PetscInt       vertexLoc;
1340 
1341         if ((point >= pStart[0]) && (point < pEnd[0])) {
1342           ierr = DMLabelGetValue(vertexLabel, point, &vertexLoc);CHKERRQ(ierr);
1343           if (vertexLoc != value) break;
1344         }
1345       }
1346       if (c == closureSize*2) {
1347         const PetscInt *support;
1348         PetscInt        supportSize, s;
1349 
1350         for (c = 0; c < closureSize*2; c += 2) {
1351           const PetscInt point = closure[c];
1352 
1353           for (d = 0; d < dim; ++d) {
1354             if ((point >= pStart[d]) && (point < pEnd[d])) {
1355               ierr = DMLabelSetValue(subpointMap, point, d);CHKERRQ(ierr);
1356               break;
1357             }
1358           }
1359         }
1360         ierr = DMPlexGetSupportSize(dm, face, &supportSize);CHKERRQ(ierr);
1361         ierr = DMPlexGetSupport(dm, face, &support);CHKERRQ(ierr);
1362         for (s = 0; s < supportSize; ++s) {
1363           ierr = DMLabelSetValue(subpointMap, support[s], dim);CHKERRQ(ierr);
1364         }
1365       }
1366       ierr = DMPlexRestoreTransitiveClosure(dm, face, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
1367     }
1368     ierr = DMPlexRestoreTransitiveClosure(dm, vertex, PETSC_FALSE, &starSize, &star);CHKERRQ(ierr);
1369   }
1370   if (subvertexIS) {
1371     ierr = ISRestoreIndices(subvertexIS, &subvertices);CHKERRQ(ierr);
1372   }
1373   ierr = ISDestroy(&subvertexIS);CHKERRQ(ierr);
1374   ierr = PetscFree3(pStart,pEnd,pMax);CHKERRQ(ierr);
1375   PetscFunctionReturn(0);
1376 }
1377 
1378 #undef __FUNCT__
1379 #define __FUNCT__ "DMPlexMarkCohesiveSubmesh_Uninterpolated"
1380 static PetscErrorCode DMPlexMarkCohesiveSubmesh_Uninterpolated(DM dm, PetscBool hasLagrange, const char labelname[], PetscInt value, DMLabel subpointMap, PetscInt *numFaces, PetscInt *nFV, PetscInt *subCells[], DM subdm)
1381 {
1382   DMLabel         label = NULL;
1383   const PetscInt *cone;
1384   PetscInt        dim, cMax, cEnd, c, subc = 0, p, coneSize;
1385   PetscErrorCode  ierr;
1386 
1387   PetscFunctionBegin;
1388   *numFaces = 0;
1389   *nFV = 0;
1390   if (labelname) {ierr = DMPlexGetLabel(dm, labelname, &label);CHKERRQ(ierr);}
1391   *subCells = NULL;
1392   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
1393   ierr = DMPlexGetHeightStratum(dm, 0, NULL, &cEnd);CHKERRQ(ierr);
1394   ierr = DMPlexGetHybridBounds(dm, &cMax, NULL, NULL, NULL);CHKERRQ(ierr);
1395   if (cMax < 0) PetscFunctionReturn(0);
1396   if (label) {
1397     for (c = cMax; c < cEnd; ++c) {
1398       PetscInt val;
1399 
1400       ierr = DMLabelGetValue(label, c, &val);CHKERRQ(ierr);
1401       if (val == value) {
1402         ++(*numFaces);
1403         ierr = DMPlexGetConeSize(dm, c, &coneSize);CHKERRQ(ierr);
1404       }
1405     }
1406   } else {
1407     *numFaces = cEnd - cMax;
1408     ierr = DMPlexGetConeSize(dm, cMax, &coneSize);CHKERRQ(ierr);
1409   }
1410   *nFV = hasLagrange ? coneSize/3 : coneSize/2;
1411   ierr = PetscMalloc(*numFaces *2 * sizeof(PetscInt), subCells);CHKERRQ(ierr);
1412   for (c = cMax; c < cEnd; ++c) {
1413     const PetscInt *cells;
1414     PetscInt        numCells;
1415 
1416     if (label) {
1417       PetscInt val;
1418 
1419       ierr = DMLabelGetValue(label, c, &val);CHKERRQ(ierr);
1420       if (val != value) continue;
1421     }
1422     ierr = DMPlexGetCone(dm, c, &cone);CHKERRQ(ierr);
1423     for (p = 0; p < *nFV; ++p) {
1424       ierr = DMLabelSetValue(subpointMap, cone[p], 0);CHKERRQ(ierr);
1425     }
1426     /* Negative face */
1427     ierr = DMPlexGetJoin(dm, *nFV, cone, &numCells, &cells);CHKERRQ(ierr);
1428     /* Not true in parallel
1429     if (numCells != 2) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cohesive cells should separate two cells"); */
1430     for (p = 0; p < numCells; ++p) {
1431       ierr = DMLabelSetValue(subpointMap, cells[p], 2);CHKERRQ(ierr);
1432       (*subCells)[subc++] = cells[p];
1433     }
1434     ierr = DMPlexRestoreJoin(dm, *nFV, cone, &numCells, &cells);CHKERRQ(ierr);
1435     /* Positive face is not included */
1436   }
1437   PetscFunctionReturn(0);
1438 }
1439 
1440 #undef __FUNCT__
1441 #define __FUNCT__ "DMPlexMarkCohesiveSubmesh_Interpolated"
1442 static PetscErrorCode DMPlexMarkCohesiveSubmesh_Interpolated(DM dm, PetscBool hasLagrange, const char labelname[], PetscInt value, DMLabel subpointMap, DM subdm)
1443 {
1444   DMLabel        label = NULL;
1445   PetscInt      *pStart, *pEnd;
1446   PetscInt       dim, cMax, cEnd, c, d;
1447   PetscErrorCode ierr;
1448 
1449   PetscFunctionBegin;
1450   if (labelname) {ierr = DMPlexGetLabel(dm, labelname, &label);CHKERRQ(ierr);}
1451   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
1452   ierr = DMPlexGetHeightStratum(dm, 0, NULL, &cEnd);CHKERRQ(ierr);
1453   ierr = DMPlexGetHybridBounds(dm, &cMax, NULL, NULL, NULL);CHKERRQ(ierr);
1454   if (cMax < 0) PetscFunctionReturn(0);
1455   ierr = PetscMalloc2(dim+1,PetscInt,&pStart,dim+1,PetscInt,&pEnd);CHKERRQ(ierr);
1456   for (d = 0; d <= dim; ++d) {
1457     ierr = DMPlexGetDepthStratum(dm, d, &pStart[d], &pEnd[d]);CHKERRQ(ierr);
1458   }
1459   for (c = cMax; c < cEnd; ++c) {
1460     const PetscInt *cone;
1461     PetscInt       *closure = NULL;
1462     PetscInt        coneSize, closureSize, cl;
1463 
1464     if (label) {
1465       PetscInt val;
1466 
1467       ierr = DMLabelGetValue(label, c, &val);CHKERRQ(ierr);
1468       if (val != value) continue;
1469     }
1470     ierr = DMPlexGetConeSize(dm, c, &coneSize);CHKERRQ(ierr);
1471     if (hasLagrange) {
1472       if (coneSize != 3) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cohesive cells should separate two cells");
1473     } else {
1474       if (coneSize != 2) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cohesive cells should separate two cells");
1475     }
1476     /* Negative face */
1477     ierr = DMPlexGetCone(dm, c, &cone);CHKERRQ(ierr);
1478     ierr = DMPlexGetTransitiveClosure(dm, cone[0], PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
1479     for (cl = 0; cl < closureSize*2; cl += 2) {
1480       const PetscInt point = closure[cl];
1481 
1482       for (d = 0; d <= dim; ++d) {
1483         if ((point >= pStart[d]) && (point < pEnd[d])) {
1484           ierr = DMLabelSetValue(subpointMap, point, d);CHKERRQ(ierr);
1485           break;
1486         }
1487       }
1488     }
1489     ierr = DMPlexRestoreTransitiveClosure(dm, cone[0], PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
1490     /* Cells -- positive face is not included */
1491     for (cl = 0; cl < 1; ++cl) {
1492       const PetscInt *support;
1493       PetscInt        supportSize, s;
1494 
1495       ierr = DMPlexGetSupportSize(dm, cone[cl], &supportSize);CHKERRQ(ierr);
1496       if (supportSize != 2) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cohesive faces should separate two cells");
1497       ierr = DMPlexGetSupport(dm, cone[cl], &support);CHKERRQ(ierr);
1498       for (s = 0; s < supportSize; ++s) {
1499         ierr = DMLabelSetValue(subpointMap, support[s], dim);CHKERRQ(ierr);
1500       }
1501     }
1502   }
1503   ierr = PetscFree2(pStart, pEnd);CHKERRQ(ierr);
1504   PetscFunctionReturn(0);
1505 }
1506 
1507 #undef __FUNCT__
1508 #define __FUNCT__ "DMPlexGetFaceOrientation"
1509 PetscErrorCode DMPlexGetFaceOrientation(DM dm, PetscInt cell, PetscInt numCorners, PetscInt indices[], PetscInt oppositeVertex, PetscInt origVertices[], PetscInt faceVertices[], PetscBool *posOriented)
1510 {
1511   MPI_Comm       comm;
1512   PetscBool      posOrient = PETSC_FALSE;
1513   const PetscInt debug     = 0;
1514   PetscInt       cellDim, faceSize, f;
1515   PetscErrorCode ierr;
1516 
1517   PetscFunctionBegin;
1518   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
1519   ierr = DMPlexGetDimension(dm, &cellDim);CHKERRQ(ierr);
1520   if (debug) {PetscPrintf(comm, "cellDim: %d numCorners: %d\n", cellDim, numCorners);CHKERRQ(ierr);}
1521 
1522   if (cellDim == 1 && numCorners == 2) {
1523     /* Triangle */
1524     faceSize  = numCorners-1;
1525     posOrient = !(oppositeVertex%2) ? PETSC_TRUE : PETSC_FALSE;
1526   } else if (cellDim == 2 && numCorners == 3) {
1527     /* Triangle */
1528     faceSize  = numCorners-1;
1529     posOrient = !(oppositeVertex%2) ? PETSC_TRUE : PETSC_FALSE;
1530   } else if (cellDim == 3 && numCorners == 4) {
1531     /* Tetrahedron */
1532     faceSize  = numCorners-1;
1533     posOrient = (oppositeVertex%2) ? PETSC_TRUE : PETSC_FALSE;
1534   } else if (cellDim == 1 && numCorners == 3) {
1535     /* Quadratic line */
1536     faceSize  = 1;
1537     posOrient = PETSC_TRUE;
1538   } else if (cellDim == 2 && numCorners == 4) {
1539     /* Quads */
1540     faceSize = 2;
1541     if ((indices[1] > indices[0]) && (indices[1] - indices[0] == 1)) {
1542       posOrient = PETSC_TRUE;
1543     } else if ((indices[0] == 3) && (indices[1] == 0)) {
1544       posOrient = PETSC_TRUE;
1545     } else {
1546       if (((indices[0] > indices[1]) && (indices[0] - indices[1] == 1)) || ((indices[0] == 0) && (indices[1] == 3))) {
1547         posOrient = PETSC_FALSE;
1548       } else SETERRQ(comm, PETSC_ERR_ARG_WRONG, "Invalid quad crossedge");
1549     }
1550   } else if (cellDim == 2 && numCorners == 6) {
1551     /* Quadratic triangle (I hate this) */
1552     /* Edges are determined by the first 2 vertices (corners of edges) */
1553     const PetscInt faceSizeTri = 3;
1554     PetscInt       sortedIndices[3], i, iFace;
1555     PetscBool      found                    = PETSC_FALSE;
1556     PetscInt       faceVerticesTriSorted[9] = {
1557       0, 3,  4, /* bottom */
1558       1, 4,  5, /* right */
1559       2, 3,  5, /* left */
1560     };
1561     PetscInt       faceVerticesTri[9] = {
1562       0, 3,  4, /* bottom */
1563       1, 4,  5, /* right */
1564       2, 5,  3, /* left */
1565     };
1566 
1567     faceSize = faceSizeTri;
1568     for (i = 0; i < faceSizeTri; ++i) sortedIndices[i] = indices[i];
1569     ierr = PetscSortInt(faceSizeTri, sortedIndices);CHKERRQ(ierr);
1570     for (iFace = 0; iFace < 3; ++iFace) {
1571       const PetscInt ii = iFace*faceSizeTri;
1572       PetscInt       fVertex, cVertex;
1573 
1574       if ((sortedIndices[0] == faceVerticesTriSorted[ii+0]) &&
1575           (sortedIndices[1] == faceVerticesTriSorted[ii+1])) {
1576         for (fVertex = 0; fVertex < faceSizeTri; ++fVertex) {
1577           for (cVertex = 0; cVertex < faceSizeTri; ++cVertex) {
1578             if (indices[cVertex] == faceVerticesTri[ii+fVertex]) {
1579               faceVertices[fVertex] = origVertices[cVertex];
1580               break;
1581             }
1582           }
1583         }
1584         found = PETSC_TRUE;
1585         break;
1586       }
1587     }
1588     if (!found) SETERRQ(comm, PETSC_ERR_ARG_WRONG, "Invalid tri crossface");
1589     if (posOriented) *posOriented = PETSC_TRUE;
1590     PetscFunctionReturn(0);
1591   } else if (cellDim == 2 && numCorners == 9) {
1592     /* Quadratic quad (I hate this) */
1593     /* Edges are determined by the first 2 vertices (corners of edges) */
1594     const PetscInt faceSizeQuad = 3;
1595     PetscInt       sortedIndices[3], i, iFace;
1596     PetscBool      found                      = PETSC_FALSE;
1597     PetscInt       faceVerticesQuadSorted[12] = {
1598       0, 1,  4, /* bottom */
1599       1, 2,  5, /* right */
1600       2, 3,  6, /* top */
1601       0, 3,  7, /* left */
1602     };
1603     PetscInt       faceVerticesQuad[12] = {
1604       0, 1,  4, /* bottom */
1605       1, 2,  5, /* right */
1606       2, 3,  6, /* top */
1607       3, 0,  7, /* left */
1608     };
1609 
1610     faceSize = faceSizeQuad;
1611     for (i = 0; i < faceSizeQuad; ++i) sortedIndices[i] = indices[i];
1612     ierr = PetscSortInt(faceSizeQuad, sortedIndices);CHKERRQ(ierr);
1613     for (iFace = 0; iFace < 4; ++iFace) {
1614       const PetscInt ii = iFace*faceSizeQuad;
1615       PetscInt       fVertex, cVertex;
1616 
1617       if ((sortedIndices[0] == faceVerticesQuadSorted[ii+0]) &&
1618           (sortedIndices[1] == faceVerticesQuadSorted[ii+1])) {
1619         for (fVertex = 0; fVertex < faceSizeQuad; ++fVertex) {
1620           for (cVertex = 0; cVertex < faceSizeQuad; ++cVertex) {
1621             if (indices[cVertex] == faceVerticesQuad[ii+fVertex]) {
1622               faceVertices[fVertex] = origVertices[cVertex];
1623               break;
1624             }
1625           }
1626         }
1627         found = PETSC_TRUE;
1628         break;
1629       }
1630     }
1631     if (!found) SETERRQ(comm, PETSC_ERR_ARG_WRONG, "Invalid quad crossface");
1632     if (posOriented) *posOriented = PETSC_TRUE;
1633     PetscFunctionReturn(0);
1634   } else if (cellDim == 3 && numCorners == 8) {
1635     /* Hexes
1636        A hex is two oriented quads with the normal of the first
1637        pointing up at the second.
1638 
1639           7---6
1640          /|  /|
1641         4---5 |
1642         | 1-|-2
1643         |/  |/
1644         0---3
1645 
1646         Faces are determined by the first 4 vertices (corners of faces) */
1647     const PetscInt faceSizeHex = 4;
1648     PetscInt       sortedIndices[4], i, iFace;
1649     PetscBool      found                     = PETSC_FALSE;
1650     PetscInt       faceVerticesHexSorted[24] = {
1651       0, 1, 2, 3,  /* bottom */
1652       4, 5, 6, 7,  /* top */
1653       0, 3, 4, 5,  /* front */
1654       2, 3, 5, 6,  /* right */
1655       1, 2, 6, 7,  /* back */
1656       0, 1, 4, 7,  /* left */
1657     };
1658     PetscInt       faceVerticesHex[24] = {
1659       1, 2, 3, 0,  /* bottom */
1660       4, 5, 6, 7,  /* top */
1661       0, 3, 5, 4,  /* front */
1662       3, 2, 6, 5,  /* right */
1663       2, 1, 7, 6,  /* back */
1664       1, 0, 4, 7,  /* left */
1665     };
1666 
1667     faceSize = faceSizeHex;
1668     for (i = 0; i < faceSizeHex; ++i) sortedIndices[i] = indices[i];
1669     ierr = PetscSortInt(faceSizeHex, sortedIndices);CHKERRQ(ierr);
1670     for (iFace = 0; iFace < 6; ++iFace) {
1671       const PetscInt ii = iFace*faceSizeHex;
1672       PetscInt       fVertex, cVertex;
1673 
1674       if ((sortedIndices[0] == faceVerticesHexSorted[ii+0]) &&
1675           (sortedIndices[1] == faceVerticesHexSorted[ii+1]) &&
1676           (sortedIndices[2] == faceVerticesHexSorted[ii+2]) &&
1677           (sortedIndices[3] == faceVerticesHexSorted[ii+3])) {
1678         for (fVertex = 0; fVertex < faceSizeHex; ++fVertex) {
1679           for (cVertex = 0; cVertex < faceSizeHex; ++cVertex) {
1680             if (indices[cVertex] == faceVerticesHex[ii+fVertex]) {
1681               faceVertices[fVertex] = origVertices[cVertex];
1682               break;
1683             }
1684           }
1685         }
1686         found = PETSC_TRUE;
1687         break;
1688       }
1689     }
1690     if (!found) SETERRQ(comm, PETSC_ERR_ARG_WRONG, "Invalid hex crossface");
1691     if (posOriented) *posOriented = PETSC_TRUE;
1692     PetscFunctionReturn(0);
1693   } else if (cellDim == 3 && numCorners == 10) {
1694     /* Quadratic tet */
1695     /* Faces are determined by the first 3 vertices (corners of faces) */
1696     const PetscInt faceSizeTet = 6;
1697     PetscInt       sortedIndices[6], i, iFace;
1698     PetscBool      found                     = PETSC_FALSE;
1699     PetscInt       faceVerticesTetSorted[24] = {
1700       0, 1, 2,  6, 7, 8, /* bottom */
1701       0, 3, 4,  6, 7, 9,  /* front */
1702       1, 4, 5,  7, 8, 9,  /* right */
1703       2, 3, 5,  6, 8, 9,  /* left */
1704     };
1705     PetscInt       faceVerticesTet[24] = {
1706       0, 1, 2,  6, 7, 8, /* bottom */
1707       0, 4, 3,  6, 7, 9,  /* front */
1708       1, 5, 4,  7, 8, 9,  /* right */
1709       2, 3, 5,  8, 6, 9,  /* left */
1710     };
1711 
1712     faceSize = faceSizeTet;
1713     for (i = 0; i < faceSizeTet; ++i) sortedIndices[i] = indices[i];
1714     ierr = PetscSortInt(faceSizeTet, sortedIndices);CHKERRQ(ierr);
1715     for (iFace=0; iFace < 4; ++iFace) {
1716       const PetscInt ii = iFace*faceSizeTet;
1717       PetscInt       fVertex, cVertex;
1718 
1719       if ((sortedIndices[0] == faceVerticesTetSorted[ii+0]) &&
1720           (sortedIndices[1] == faceVerticesTetSorted[ii+1]) &&
1721           (sortedIndices[2] == faceVerticesTetSorted[ii+2]) &&
1722           (sortedIndices[3] == faceVerticesTetSorted[ii+3])) {
1723         for (fVertex = 0; fVertex < faceSizeTet; ++fVertex) {
1724           for (cVertex = 0; cVertex < faceSizeTet; ++cVertex) {
1725             if (indices[cVertex] == faceVerticesTet[ii+fVertex]) {
1726               faceVertices[fVertex] = origVertices[cVertex];
1727               break;
1728             }
1729           }
1730         }
1731         found = PETSC_TRUE;
1732         break;
1733       }
1734     }
1735     if (!found) SETERRQ(comm, PETSC_ERR_ARG_WRONG, "Invalid tet crossface");
1736     if (posOriented) *posOriented = PETSC_TRUE;
1737     PetscFunctionReturn(0);
1738   } else if (cellDim == 3 && numCorners == 27) {
1739     /* Quadratic hexes (I hate this)
1740        A hex is two oriented quads with the normal of the first
1741        pointing up at the second.
1742 
1743          7---6
1744         /|  /|
1745        4---5 |
1746        | 3-|-2
1747        |/  |/
1748        0---1
1749 
1750        Faces are determined by the first 4 vertices (corners of faces) */
1751     const PetscInt faceSizeQuadHex = 9;
1752     PetscInt       sortedIndices[9], i, iFace;
1753     PetscBool      found                         = PETSC_FALSE;
1754     PetscInt       faceVerticesQuadHexSorted[54] = {
1755       0, 1, 2, 3,  8, 9, 10, 11,  24, /* bottom */
1756       4, 5, 6, 7,  12, 13, 14, 15,  25, /* top */
1757       0, 1, 4, 5,  8, 12, 16, 17,  22, /* front */
1758       1, 2, 5, 6,  9, 13, 17, 18,  21, /* right */
1759       2, 3, 6, 7,  10, 14, 18, 19,  23, /* back */
1760       0, 3, 4, 7,  11, 15, 16, 19,  20, /* left */
1761     };
1762     PetscInt       faceVerticesQuadHex[54] = {
1763       3, 2, 1, 0,  10, 9, 8, 11,  24, /* bottom */
1764       4, 5, 6, 7,  12, 13, 14, 15,  25, /* top */
1765       0, 1, 5, 4,  8, 17, 12, 16,  22, /* front */
1766       1, 2, 6, 5,  9, 18, 13, 17,  21, /* right */
1767       2, 3, 7, 6,  10, 19, 14, 18,  23, /* back */
1768       3, 0, 4, 7,  11, 16, 15, 19,  20 /* left */
1769     };
1770 
1771     faceSize = faceSizeQuadHex;
1772     for (i = 0; i < faceSizeQuadHex; ++i) sortedIndices[i] = indices[i];
1773     ierr = PetscSortInt(faceSizeQuadHex, sortedIndices);CHKERRQ(ierr);
1774     for (iFace = 0; iFace < 6; ++iFace) {
1775       const PetscInt ii = iFace*faceSizeQuadHex;
1776       PetscInt       fVertex, cVertex;
1777 
1778       if ((sortedIndices[0] == faceVerticesQuadHexSorted[ii+0]) &&
1779           (sortedIndices[1] == faceVerticesQuadHexSorted[ii+1]) &&
1780           (sortedIndices[2] == faceVerticesQuadHexSorted[ii+2]) &&
1781           (sortedIndices[3] == faceVerticesQuadHexSorted[ii+3])) {
1782         for (fVertex = 0; fVertex < faceSizeQuadHex; ++fVertex) {
1783           for (cVertex = 0; cVertex < faceSizeQuadHex; ++cVertex) {
1784             if (indices[cVertex] == faceVerticesQuadHex[ii+fVertex]) {
1785               faceVertices[fVertex] = origVertices[cVertex];
1786               break;
1787             }
1788           }
1789         }
1790         found = PETSC_TRUE;
1791         break;
1792       }
1793     }
1794     if (!found) SETERRQ(comm, PETSC_ERR_ARG_WRONG, "Invalid hex crossface");
1795     if (posOriented) *posOriented = PETSC_TRUE;
1796     PetscFunctionReturn(0);
1797   } else SETERRQ(comm, PETSC_ERR_ARG_WRONG, "Unknown cell type for faceOrientation().");
1798   if (!posOrient) {
1799     if (debug) {ierr = PetscPrintf(comm, "  Reversing initial face orientation\n");CHKERRQ(ierr);}
1800     for (f = 0; f < faceSize; ++f) faceVertices[f] = origVertices[faceSize-1 - f];
1801   } else {
1802     if (debug) {ierr = PetscPrintf(comm, "  Keeping initial face orientation\n");CHKERRQ(ierr);}
1803     for (f = 0; f < faceSize; ++f) faceVertices[f] = origVertices[f];
1804   }
1805   if (posOriented) *posOriented = posOrient;
1806   PetscFunctionReturn(0);
1807 }
1808 
1809 #undef __FUNCT__
1810 #define __FUNCT__ "DMPlexGetOrientedFace"
1811 /*
1812     Given a cell and a face, as a set of vertices,
1813       return the oriented face, as a set of vertices, in faceVertices
1814     The orientation is such that the face normal points out of the cell
1815 */
1816 PetscErrorCode DMPlexGetOrientedFace(DM dm, PetscInt cell, PetscInt faceSize, const PetscInt face[], PetscInt numCorners, PetscInt indices[], PetscInt origVertices[], PetscInt faceVertices[], PetscBool *posOriented)
1817 {
1818   const PetscInt *cone = NULL;
1819   PetscInt        coneSize, v, f, v2;
1820   PetscInt        oppositeVertex = -1;
1821   PetscErrorCode  ierr;
1822 
1823   PetscFunctionBegin;
1824   ierr = DMPlexGetConeSize(dm, cell, &coneSize);CHKERRQ(ierr);
1825   ierr = DMPlexGetCone(dm, cell, &cone);CHKERRQ(ierr);
1826   for (v = 0, v2 = 0; v < coneSize; ++v) {
1827     PetscBool found = PETSC_FALSE;
1828 
1829     for (f = 0; f < faceSize; ++f) {
1830       if (face[f] == cone[v]) {
1831         found = PETSC_TRUE; break;
1832       }
1833     }
1834     if (found) {
1835       indices[v2]      = v;
1836       origVertices[v2] = cone[v];
1837       ++v2;
1838     } else {
1839       oppositeVertex = v;
1840     }
1841   }
1842   ierr = DMPlexGetFaceOrientation(dm, cell, numCorners, indices, oppositeVertex, origVertices, faceVertices, posOriented);CHKERRQ(ierr);
1843   PetscFunctionReturn(0);
1844 }
1845 
1846 #undef __FUNCT__
1847 #define __FUNCT__ "DMPlexInsertFace_Internal"
1848 /*
1849   DMPlexInsertFace_Internal - Puts a face into the mesh
1850 
1851   Not collective
1852 
1853   Input Parameters:
1854   + dm              - The DMPlex
1855   . numFaceVertex   - The number of vertices in the face
1856   . faceVertices    - The vertices in the face for dm
1857   . subfaceVertices - The vertices in the face for subdm
1858   . numCorners      - The number of vertices in the cell
1859   . cell            - A cell in dm containing the face
1860   . subcell         - A cell in subdm containing the face
1861   . firstFace       - First face in the mesh
1862   - newFacePoint    - Next face in the mesh
1863 
1864   Output Parameters:
1865   . newFacePoint - Contains next face point number on input, updated on output
1866 
1867   Level: developer
1868 */
1869 static PetscErrorCode DMPlexInsertFace_Internal(DM dm, DM subdm, PetscInt numFaceVertices, const PetscInt faceVertices[], const PetscInt subfaceVertices[], PetscInt numCorners, PetscInt cell, PetscInt subcell, PetscInt firstFace, PetscInt *newFacePoint)
1870 {
1871   MPI_Comm        comm;
1872   DM_Plex        *submesh = (DM_Plex*) subdm->data;
1873   const PetscInt *faces;
1874   PetscInt        numFaces, coneSize;
1875   PetscErrorCode  ierr;
1876 
1877   PetscFunctionBegin;
1878   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
1879   ierr = DMPlexGetConeSize(subdm, subcell, &coneSize);CHKERRQ(ierr);
1880   if (coneSize != 1) SETERRQ2(comm, PETSC_ERR_ARG_OUTOFRANGE, "Cone size of cell %d is %d != 1", cell, coneSize);
1881 #if 0
1882   /* Cannot use this because support() has not been constructed yet */
1883   ierr = DMPlexGetJoin(subdm, numFaceVertices, subfaceVertices, &numFaces, &faces);CHKERRQ(ierr);
1884 #else
1885   {
1886     PetscInt f;
1887 
1888     numFaces = 0;
1889     ierr     = DMGetWorkArray(subdm, 1, PETSC_INT, (void **) &faces);CHKERRQ(ierr);
1890     for (f = firstFace; f < *newFacePoint; ++f) {
1891       PetscInt dof, off, d;
1892 
1893       ierr = PetscSectionGetDof(submesh->coneSection, f, &dof);CHKERRQ(ierr);
1894       ierr = PetscSectionGetOffset(submesh->coneSection, f, &off);CHKERRQ(ierr);
1895       /* Yes, I know this is quadratic, but I expect the sizes to be <5 */
1896       for (d = 0; d < dof; ++d) {
1897         const PetscInt p = submesh->cones[off+d];
1898         PetscInt       v;
1899 
1900         for (v = 0; v < numFaceVertices; ++v) {
1901           if (subfaceVertices[v] == p) break;
1902         }
1903         if (v == numFaceVertices) break;
1904       }
1905       if (d == dof) {
1906         numFaces               = 1;
1907         ((PetscInt*) faces)[0] = f;
1908       }
1909     }
1910   }
1911 #endif
1912   if (numFaces > 1) SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Vertex set had %d faces, not one", numFaces);
1913   else if (numFaces == 1) {
1914     /* Add the other cell neighbor for this face */
1915     ierr = DMPlexSetCone(subdm, subcell, faces);CHKERRQ(ierr);
1916   } else {
1917     PetscInt *indices, *origVertices, *orientedVertices, *orientedSubVertices, v, ov;
1918     PetscBool posOriented;
1919 
1920     ierr                = DMGetWorkArray(subdm, 4*numFaceVertices * sizeof(PetscInt), PETSC_INT, &orientedVertices);CHKERRQ(ierr);
1921     origVertices        = &orientedVertices[numFaceVertices];
1922     indices             = &orientedVertices[numFaceVertices*2];
1923     orientedSubVertices = &orientedVertices[numFaceVertices*3];
1924     ierr                = DMPlexGetOrientedFace(dm, cell, numFaceVertices, faceVertices, numCorners, indices, origVertices, orientedVertices, &posOriented);CHKERRQ(ierr);
1925     /* TODO: I know that routine should return a permutation, not the indices */
1926     for (v = 0; v < numFaceVertices; ++v) {
1927       const PetscInt vertex = faceVertices[v], subvertex = subfaceVertices[v];
1928       for (ov = 0; ov < numFaceVertices; ++ov) {
1929         if (orientedVertices[ov] == vertex) {
1930           orientedSubVertices[ov] = subvertex;
1931           break;
1932         }
1933       }
1934       if (ov == numFaceVertices) SETERRQ1(comm, PETSC_ERR_PLIB, "Could not find face vertex %d in orientated set", vertex);
1935     }
1936     ierr = DMPlexSetCone(subdm, *newFacePoint, orientedSubVertices);CHKERRQ(ierr);
1937     ierr = DMPlexSetCone(subdm, subcell, newFacePoint);CHKERRQ(ierr);
1938     ierr = DMRestoreWorkArray(subdm, 4*numFaceVertices * sizeof(PetscInt), PETSC_INT, &orientedVertices);CHKERRQ(ierr);
1939     ++(*newFacePoint);
1940   }
1941 #if 0
1942   ierr = DMPlexRestoreJoin(subdm, numFaceVertices, subfaceVertices, &numFaces, &faces);CHKERRQ(ierr);
1943 #else
1944   ierr = DMRestoreWorkArray(subdm, 1, PETSC_INT, (void **) &faces);CHKERRQ(ierr);
1945 #endif
1946   PetscFunctionReturn(0);
1947 }
1948 
1949 #undef __FUNCT__
1950 #define __FUNCT__ "DMPlexCreateSubmesh_Uninterpolated"
1951 static PetscErrorCode DMPlexCreateSubmesh_Uninterpolated(DM dm, const char vertexLabelName[], PetscInt value, DM subdm)
1952 {
1953   MPI_Comm        comm;
1954   DMLabel         vertexLabel, subpointMap;
1955   IS              subvertexIS,  subcellIS;
1956   const PetscInt *subVertices, *subCells;
1957   PetscInt        numSubVertices, firstSubVertex, numSubCells;
1958   PetscInt       *subface, maxConeSize, numSubFaces = 0, firstSubFace, newFacePoint, nFV = 0;
1959   PetscInt        vStart, vEnd, c, f;
1960   PetscErrorCode  ierr;
1961 
1962   PetscFunctionBegin;
1963   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
1964   /* Create subpointMap which marks the submesh */
1965   ierr = DMLabelCreate("subpoint_map", &subpointMap);CHKERRQ(ierr);
1966   ierr = DMPlexSetSubpointMap(subdm, subpointMap);CHKERRQ(ierr);
1967   ierr = DMLabelDestroy(&subpointMap);CHKERRQ(ierr);
1968   if (vertexLabelName) {
1969     ierr = DMPlexGetLabel(dm, vertexLabelName, &vertexLabel);CHKERRQ(ierr);
1970     ierr = DMPlexMarkSubmesh_Uninterpolated(dm, vertexLabel, value, subpointMap, &numSubFaces, &nFV, subdm);CHKERRQ(ierr);
1971   }
1972   /* Setup chart */
1973   ierr = DMLabelGetStratumSize(subpointMap, 0, &numSubVertices);CHKERRQ(ierr);
1974   ierr = DMLabelGetStratumSize(subpointMap, 2, &numSubCells);CHKERRQ(ierr);
1975   ierr = DMPlexSetChart(subdm, 0, numSubCells+numSubFaces+numSubVertices);CHKERRQ(ierr);
1976   ierr = DMPlexSetVTKCellHeight(subdm, 1);CHKERRQ(ierr);
1977   /* Set cone sizes */
1978   firstSubVertex = numSubCells;
1979   firstSubFace   = numSubCells+numSubVertices;
1980   newFacePoint   = firstSubFace;
1981   ierr = DMLabelGetStratumIS(subpointMap, 0, &subvertexIS);CHKERRQ(ierr);
1982   if (subvertexIS) {ierr = ISGetIndices(subvertexIS, &subVertices);CHKERRQ(ierr);}
1983   ierr = DMLabelGetStratumIS(subpointMap, 2, &subcellIS);CHKERRQ(ierr);
1984   if (subcellIS) {ierr = ISGetIndices(subcellIS, &subCells);CHKERRQ(ierr);}
1985   for (c = 0; c < numSubCells; ++c) {
1986     ierr = DMPlexSetConeSize(subdm, c, 1);CHKERRQ(ierr);
1987   }
1988   for (f = firstSubFace; f < firstSubFace+numSubFaces; ++f) {
1989     ierr = DMPlexSetConeSize(subdm, f, nFV);CHKERRQ(ierr);
1990   }
1991   ierr = DMSetUp(subdm);CHKERRQ(ierr);
1992   /* Create face cones */
1993   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
1994   ierr = DMPlexGetMaxSizes(dm, &maxConeSize, NULL);CHKERRQ(ierr);
1995   ierr = DMGetWorkArray(subdm, maxConeSize, PETSC_INT, (void**) &subface);CHKERRQ(ierr);
1996   for (c = 0; c < numSubCells; ++c) {
1997     const PetscInt cell    = subCells[c];
1998     const PetscInt subcell = c;
1999     PetscInt      *closure = NULL;
2000     PetscInt       closureSize, cl, numCorners = 0, faceSize = 0;
2001 
2002     ierr = DMPlexGetTransitiveClosure(dm, cell, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
2003     for (cl = 0; cl < closureSize*2; cl += 2) {
2004       const PetscInt point = closure[cl];
2005       PetscInt       subVertex;
2006 
2007       if ((point >= vStart) && (point < vEnd)) {
2008         ++numCorners;
2009         ierr = PetscFindInt(point, numSubVertices, subVertices, &subVertex);CHKERRQ(ierr);
2010         if (subVertex >= 0) {
2011           closure[faceSize] = point;
2012           subface[faceSize] = firstSubVertex+subVertex;
2013           ++faceSize;
2014         }
2015       }
2016     }
2017     if (faceSize > nFV) SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Invalid submesh: Too many vertices %d of an element on the surface", faceSize);
2018     if (faceSize == nFV) {
2019       ierr = DMPlexInsertFace_Internal(dm, subdm, faceSize, closure, subface, numCorners, cell, subcell, firstSubFace, &newFacePoint);CHKERRQ(ierr);
2020     }
2021     ierr = DMPlexRestoreTransitiveClosure(dm, cell, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
2022   }
2023   ierr = DMRestoreWorkArray(subdm, maxConeSize, PETSC_INT, (void**) &subface);CHKERRQ(ierr);
2024   ierr = DMPlexSymmetrize(subdm);CHKERRQ(ierr);
2025   ierr = DMPlexStratify(subdm);CHKERRQ(ierr);
2026   /* Build coordinates */
2027   {
2028     PetscSection coordSection, subCoordSection;
2029     Vec          coordinates, subCoordinates;
2030     PetscScalar *coords, *subCoords;
2031     PetscInt     numComp, coordSize, v;
2032 
2033     ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
2034     ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
2035     ierr = DMPlexGetCoordinateSection(subdm, &subCoordSection);CHKERRQ(ierr);
2036     ierr = PetscSectionSetNumFields(subCoordSection, 1);CHKERRQ(ierr);
2037     ierr = PetscSectionGetFieldComponents(coordSection, 0, &numComp);CHKERRQ(ierr);
2038     ierr = PetscSectionSetFieldComponents(subCoordSection, 0, numComp);CHKERRQ(ierr);
2039     ierr = PetscSectionSetChart(subCoordSection, firstSubVertex, firstSubVertex+numSubVertices);CHKERRQ(ierr);
2040     for (v = 0; v < numSubVertices; ++v) {
2041       const PetscInt vertex    = subVertices[v];
2042       const PetscInt subvertex = firstSubVertex+v;
2043       PetscInt       dof;
2044 
2045       ierr = PetscSectionGetDof(coordSection, vertex, &dof);CHKERRQ(ierr);
2046       ierr = PetscSectionSetDof(subCoordSection, subvertex, dof);CHKERRQ(ierr);
2047       ierr = PetscSectionSetFieldDof(subCoordSection, subvertex, 0, dof);CHKERRQ(ierr);
2048     }
2049     ierr = PetscSectionSetUp(subCoordSection);CHKERRQ(ierr);
2050     ierr = PetscSectionGetStorageSize(subCoordSection, &coordSize);CHKERRQ(ierr);
2051     ierr = VecCreate(comm, &subCoordinates);CHKERRQ(ierr);
2052     ierr = VecSetSizes(subCoordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr);
2053     ierr = VecSetType(subCoordinates,dm->vectype);CHKERRQ(ierr);
2054     if (coordSize) {
2055       ierr = VecGetArray(coordinates,    &coords);CHKERRQ(ierr);
2056       ierr = VecGetArray(subCoordinates, &subCoords);CHKERRQ(ierr);
2057       for (v = 0; v < numSubVertices; ++v) {
2058         const PetscInt vertex    = subVertices[v];
2059         const PetscInt subvertex = firstSubVertex+v;
2060         PetscInt       dof, off, sdof, soff, d;
2061 
2062         ierr = PetscSectionGetDof(coordSection, vertex, &dof);CHKERRQ(ierr);
2063         ierr = PetscSectionGetOffset(coordSection, vertex, &off);CHKERRQ(ierr);
2064         ierr = PetscSectionGetDof(subCoordSection, subvertex, &sdof);CHKERRQ(ierr);
2065         ierr = PetscSectionGetOffset(subCoordSection, subvertex, &soff);CHKERRQ(ierr);
2066         if (dof != sdof) SETERRQ4(comm, PETSC_ERR_PLIB, "Coordinate dimension %d on subvertex %d, vertex %d should be %d", sdof, subvertex, vertex, dof);
2067         for (d = 0; d < dof; ++d) subCoords[soff+d] = coords[off+d];
2068       }
2069       ierr = VecRestoreArray(coordinates,    &coords);CHKERRQ(ierr);
2070       ierr = VecRestoreArray(subCoordinates, &subCoords);CHKERRQ(ierr);
2071     }
2072     ierr = DMSetCoordinatesLocal(subdm, subCoordinates);CHKERRQ(ierr);
2073     ierr = VecDestroy(&subCoordinates);CHKERRQ(ierr);
2074   }
2075   /* Cleanup */
2076   if (subvertexIS) {ierr = ISRestoreIndices(subvertexIS, &subVertices);CHKERRQ(ierr);}
2077   ierr = ISDestroy(&subvertexIS);CHKERRQ(ierr);
2078   if (subcellIS) {ierr = ISRestoreIndices(subcellIS, &subCells);CHKERRQ(ierr);}
2079   ierr = ISDestroy(&subcellIS);CHKERRQ(ierr);
2080   PetscFunctionReturn(0);
2081 }
2082 
2083 #undef __FUNCT__
2084 #define __FUNCT__ "DMPlexCreateSubmesh_Interpolated"
2085 static PetscErrorCode DMPlexCreateSubmesh_Interpolated(DM dm, const char vertexLabelName[], PetscInt value, DM subdm)
2086 {
2087   MPI_Comm         comm;
2088   DMLabel          subpointMap, vertexLabel;
2089   IS              *subpointIS;
2090   const PetscInt **subpoints;
2091   PetscInt        *numSubPoints, *firstSubPoint, *coneNew, *coneONew;
2092   PetscInt         totSubPoints = 0, maxConeSize, dim, p, d, v;
2093   PetscErrorCode   ierr;
2094 
2095   PetscFunctionBegin;
2096   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
2097   /* Create subpointMap which marks the submesh */
2098   ierr = DMLabelCreate("subpoint_map", &subpointMap);CHKERRQ(ierr);
2099   ierr = DMPlexSetSubpointMap(subdm, subpointMap);CHKERRQ(ierr);
2100   ierr = DMLabelDestroy(&subpointMap);CHKERRQ(ierr);
2101   if (vertexLabelName) {
2102     ierr = DMPlexGetLabel(dm, vertexLabelName, &vertexLabel);CHKERRQ(ierr);
2103     ierr = DMPlexMarkSubmesh_Interpolated(dm, vertexLabel, value, subpointMap, subdm);CHKERRQ(ierr);
2104   }
2105   /* Setup chart */
2106   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
2107   ierr = PetscMalloc4(dim+1,PetscInt,&numSubPoints,dim+1,PetscInt,&firstSubPoint,dim+1,IS,&subpointIS,dim+1,const PetscInt *,&subpoints);CHKERRQ(ierr);
2108   for (d = 0; d <= dim; ++d) {
2109     ierr = DMLabelGetStratumSize(subpointMap, d, &numSubPoints[d]);CHKERRQ(ierr);
2110     totSubPoints += numSubPoints[d];
2111   }
2112   ierr = DMPlexSetChart(subdm, 0, totSubPoints);CHKERRQ(ierr);
2113   ierr = DMPlexSetVTKCellHeight(subdm, 1);CHKERRQ(ierr);
2114   /* Set cone sizes */
2115   firstSubPoint[dim] = 0;
2116   firstSubPoint[0]   = firstSubPoint[dim] + numSubPoints[dim];
2117   if (dim > 1) {firstSubPoint[dim-1] = firstSubPoint[0]     + numSubPoints[0];}
2118   if (dim > 2) {firstSubPoint[dim-2] = firstSubPoint[dim-1] + numSubPoints[dim-1];}
2119   for (d = 0; d <= dim; ++d) {
2120     ierr = DMLabelGetStratumIS(subpointMap, d, &subpointIS[d]);CHKERRQ(ierr);
2121     ierr = ISGetIndices(subpointIS[d], &subpoints[d]);CHKERRQ(ierr);
2122   }
2123   for (d = 0; d <= dim; ++d) {
2124     for (p = 0; p < numSubPoints[d]; ++p) {
2125       const PetscInt  point    = subpoints[d][p];
2126       const PetscInt  subpoint = firstSubPoint[d] + p;
2127       const PetscInt *cone;
2128       PetscInt        coneSize, coneSizeNew, c, val;
2129 
2130       ierr = DMPlexGetConeSize(dm, point, &coneSize);CHKERRQ(ierr);
2131       ierr = DMPlexSetConeSize(subdm, subpoint, coneSize);CHKERRQ(ierr);
2132       if (d == dim) {
2133         ierr = DMPlexGetCone(dm, point, &cone);CHKERRQ(ierr);
2134         for (c = 0, coneSizeNew = 0; c < coneSize; ++c) {
2135           ierr = DMLabelGetValue(subpointMap, cone[c], &val);CHKERRQ(ierr);
2136           if (val >= 0) coneSizeNew++;
2137         }
2138         ierr = DMPlexSetConeSize(subdm, subpoint, coneSizeNew);CHKERRQ(ierr);
2139       }
2140     }
2141   }
2142   ierr = DMSetUp(subdm);CHKERRQ(ierr);
2143   /* Set cones */
2144   ierr = DMPlexGetMaxSizes(dm, &maxConeSize, NULL);CHKERRQ(ierr);
2145   ierr = PetscMalloc2(maxConeSize,PetscInt,&coneNew,maxConeSize,PetscInt,&coneONew);CHKERRQ(ierr);
2146   for (d = 0; d <= dim; ++d) {
2147     for (p = 0; p < numSubPoints[d]; ++p) {
2148       const PetscInt  point    = subpoints[d][p];
2149       const PetscInt  subpoint = firstSubPoint[d] + p;
2150       const PetscInt *cone, *ornt;
2151       PetscInt        coneSize, subconeSize, coneSizeNew, c, subc;
2152 
2153       ierr = DMPlexGetConeSize(dm, point, &coneSize);CHKERRQ(ierr);
2154       ierr = DMPlexGetConeSize(subdm, subpoint, &subconeSize);CHKERRQ(ierr);
2155       ierr = DMPlexGetCone(dm, point, &cone);CHKERRQ(ierr);
2156       ierr = DMPlexGetConeOrientation(dm, point, &ornt);CHKERRQ(ierr);
2157       for (c = 0, coneSizeNew = 0; c < coneSize; ++c) {
2158         ierr = PetscFindInt(cone[c], numSubPoints[d-1], subpoints[d-1], &subc);CHKERRQ(ierr);
2159         if (subc >= 0) {
2160           coneNew[coneSizeNew]  = firstSubPoint[d-1] + subc;
2161           coneONew[coneSizeNew] = ornt[c];
2162           ++coneSizeNew;
2163         }
2164       }
2165       if (coneSizeNew != subconeSize) SETERRQ2(comm, PETSC_ERR_PLIB, "Number of cone points located %d does not match subcone size %d", coneSizeNew, subconeSize);
2166       ierr = DMPlexSetCone(subdm, subpoint, coneNew);CHKERRQ(ierr);
2167       ierr = DMPlexSetConeOrientation(subdm, subpoint, coneONew);CHKERRQ(ierr);
2168     }
2169   }
2170   ierr = PetscFree2(coneNew,coneONew);CHKERRQ(ierr);
2171   ierr = DMPlexSymmetrize(subdm);CHKERRQ(ierr);
2172   ierr = DMPlexStratify(subdm);CHKERRQ(ierr);
2173   /* Build coordinates */
2174   {
2175     PetscSection coordSection, subCoordSection;
2176     Vec          coordinates, subCoordinates;
2177     PetscScalar *coords, *subCoords;
2178     PetscInt     numComp, coordSize;
2179 
2180     ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
2181     ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
2182     ierr = DMPlexGetCoordinateSection(subdm, &subCoordSection);CHKERRQ(ierr);
2183     ierr = PetscSectionSetNumFields(subCoordSection, 1);CHKERRQ(ierr);
2184     ierr = PetscSectionGetFieldComponents(coordSection, 0, &numComp);CHKERRQ(ierr);
2185     ierr = PetscSectionSetFieldComponents(subCoordSection, 0, numComp);CHKERRQ(ierr);
2186     ierr = PetscSectionSetChart(subCoordSection, firstSubPoint[0], firstSubPoint[0]+numSubPoints[0]);CHKERRQ(ierr);
2187     for (v = 0; v < numSubPoints[0]; ++v) {
2188       const PetscInt vertex    = subpoints[0][v];
2189       const PetscInt subvertex = firstSubPoint[0]+v;
2190       PetscInt       dof;
2191 
2192       ierr = PetscSectionGetDof(coordSection, vertex, &dof);CHKERRQ(ierr);
2193       ierr = PetscSectionSetDof(subCoordSection, subvertex, dof);CHKERRQ(ierr);
2194       ierr = PetscSectionSetFieldDof(subCoordSection, subvertex, 0, dof);CHKERRQ(ierr);
2195     }
2196     ierr = PetscSectionSetUp(subCoordSection);CHKERRQ(ierr);
2197     ierr = PetscSectionGetStorageSize(subCoordSection, &coordSize);CHKERRQ(ierr);
2198     ierr = VecCreate(comm, &subCoordinates);CHKERRQ(ierr);
2199     ierr = VecSetSizes(subCoordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr);
2200     ierr = VecSetType(subCoordinates,dm->vectype);CHKERRQ(ierr);
2201     ierr = VecGetArray(coordinates,    &coords);CHKERRQ(ierr);
2202     ierr = VecGetArray(subCoordinates, &subCoords);CHKERRQ(ierr);
2203     for (v = 0; v < numSubPoints[0]; ++v) {
2204       const PetscInt vertex    = subpoints[0][v];
2205       const PetscInt subvertex = firstSubPoint[0]+v;
2206       PetscInt dof, off, sdof, soff, d;
2207 
2208       ierr = PetscSectionGetDof(coordSection, vertex, &dof);CHKERRQ(ierr);
2209       ierr = PetscSectionGetOffset(coordSection, vertex, &off);CHKERRQ(ierr);
2210       ierr = PetscSectionGetDof(subCoordSection, subvertex, &sdof);CHKERRQ(ierr);
2211       ierr = PetscSectionGetOffset(subCoordSection, subvertex, &soff);CHKERRQ(ierr);
2212       if (dof != sdof) SETERRQ4(comm, PETSC_ERR_PLIB, "Coordinate dimension %d on subvertex %d, vertex %d should be %d", sdof, subvertex, vertex, dof);
2213       for (d = 0; d < dof; ++d) subCoords[soff+d] = coords[off+d];
2214     }
2215     ierr = VecRestoreArray(coordinates,    &coords);CHKERRQ(ierr);
2216     ierr = VecRestoreArray(subCoordinates, &subCoords);CHKERRQ(ierr);
2217     ierr = DMSetCoordinatesLocal(subdm, subCoordinates);CHKERRQ(ierr);
2218     ierr = VecDestroy(&subCoordinates);CHKERRQ(ierr);
2219   }
2220   /* Cleanup */
2221   for (d = 0; d <= dim; ++d) {
2222     ierr = ISRestoreIndices(subpointIS[d], &subpoints[d]);CHKERRQ(ierr);
2223     ierr = ISDestroy(&subpointIS[d]);CHKERRQ(ierr);
2224   }
2225   ierr = PetscFree4(numSubPoints,firstSubPoint,subpointIS,subpoints);CHKERRQ(ierr);
2226   PetscFunctionReturn(0);
2227 }
2228 
2229 #undef __FUNCT__
2230 #define __FUNCT__ "DMPlexCreateSubmesh"
2231 /*@C
2232   DMPlexCreateSubmesh - Extract a hypersurface from the mesh using vertices defined by a label
2233 
2234   Input Parameters:
2235 + dm           - The original mesh
2236 . vertexLabel  - The DMLabel marking vertices contained in the surface
2237 - value        - The label value to use
2238 
2239   Output Parameter:
2240 . subdm - The surface mesh
2241 
2242   Note: This function produces a DMLabel mapping original points in the submesh to their depth. This can be obtained using DMPlexGetSubpointMap().
2243 
2244   Level: developer
2245 
2246 .seealso: DMPlexGetSubpointMap(), DMPlexGetLabel(), DMLabelSetValue()
2247 @*/
2248 PetscErrorCode DMPlexCreateSubmesh(DM dm, const char vertexLabel[], PetscInt value, DM *subdm)
2249 {
2250   PetscInt       dim, depth;
2251   PetscErrorCode ierr;
2252 
2253   PetscFunctionBegin;
2254   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2255   PetscValidPointer(subdm, 3);
2256   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
2257   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
2258   ierr = DMCreate(PetscObjectComm((PetscObject)dm), subdm);CHKERRQ(ierr);
2259   ierr = DMSetType(*subdm, DMPLEX);CHKERRQ(ierr);
2260   ierr = DMPlexSetDimension(*subdm, dim-1);CHKERRQ(ierr);
2261   if (depth == dim) {
2262     ierr = DMPlexCreateSubmesh_Interpolated(dm, vertexLabel, value, *subdm);CHKERRQ(ierr);
2263   } else {
2264     ierr = DMPlexCreateSubmesh_Uninterpolated(dm, vertexLabel, value, *subdm);CHKERRQ(ierr);
2265   }
2266   PetscFunctionReturn(0);
2267 }
2268 
2269 #undef __FUNCT__
2270 #define __FUNCT__ "DMPlexFilterPoint_Internal"
2271 PETSC_STATIC_INLINE PetscInt DMPlexFilterPoint_Internal(PetscInt point, PetscInt firstSubPoint, PetscInt numSubPoints, const PetscInt subPoints[])
2272 {
2273   PetscInt       subPoint;
2274   PetscErrorCode ierr;
2275 
2276   ierr = PetscFindInt(point, numSubPoints, subPoints, &subPoint); if (ierr < 0) return ierr;
2277   return subPoint < 0 ? subPoint : firstSubPoint+subPoint;
2278 }
2279 
2280 #undef __FUNCT__
2281 #define __FUNCT__ "DMPlexCreateCohesiveSubmesh_Uninterpolated"
2282 static PetscErrorCode DMPlexCreateCohesiveSubmesh_Uninterpolated(DM dm, PetscBool hasLagrange, const char label[], PetscInt value, DM subdm)
2283 {
2284   MPI_Comm        comm;
2285   DMLabel         subpointMap;
2286   IS              subvertexIS;
2287   const PetscInt *subVertices;
2288   PetscInt        numSubVertices, firstSubVertex, numSubCells, *subCells = NULL;
2289   PetscInt       *subface, maxConeSize, numSubFaces, firstSubFace, newFacePoint, nFV;
2290   PetscInt        cMax, c, f;
2291   PetscErrorCode  ierr;
2292 
2293   PetscFunctionBegin;
2294   ierr = PetscObjectGetComm((PetscObject)dm, &comm);CHKERRQ(ierr);
2295   /* Create subpointMap which marks the submesh */
2296   ierr = DMLabelCreate("subpoint_map", &subpointMap);CHKERRQ(ierr);
2297   ierr = DMPlexSetSubpointMap(subdm, subpointMap);CHKERRQ(ierr);
2298   ierr = DMLabelDestroy(&subpointMap);CHKERRQ(ierr);
2299   ierr = DMPlexMarkCohesiveSubmesh_Uninterpolated(dm, hasLagrange, label, value, subpointMap, &numSubFaces, &nFV, &subCells, subdm);CHKERRQ(ierr);
2300   /* Setup chart */
2301   ierr = DMLabelGetStratumSize(subpointMap, 0, &numSubVertices);CHKERRQ(ierr);
2302   ierr = DMLabelGetStratumSize(subpointMap, 2, &numSubCells);CHKERRQ(ierr);
2303   ierr = DMPlexSetChart(subdm, 0, numSubCells+numSubFaces+numSubVertices);CHKERRQ(ierr);
2304   ierr = DMPlexSetVTKCellHeight(subdm, 1);CHKERRQ(ierr);
2305   /* Set cone sizes */
2306   firstSubVertex = numSubCells;
2307   firstSubFace   = numSubCells+numSubVertices;
2308   newFacePoint   = firstSubFace;
2309   ierr = DMLabelGetStratumIS(subpointMap, 0, &subvertexIS);CHKERRQ(ierr);
2310   if (subvertexIS) {ierr = ISGetIndices(subvertexIS, &subVertices);CHKERRQ(ierr);}
2311   for (c = 0; c < numSubCells; ++c) {
2312     ierr = DMPlexSetConeSize(subdm, c, 1);CHKERRQ(ierr);
2313   }
2314   for (f = firstSubFace; f < firstSubFace+numSubFaces; ++f) {
2315     ierr = DMPlexSetConeSize(subdm, f, nFV);CHKERRQ(ierr);
2316   }
2317   ierr = DMSetUp(subdm);CHKERRQ(ierr);
2318   /* Create face cones */
2319   ierr = DMPlexGetMaxSizes(dm, &maxConeSize, NULL);CHKERRQ(ierr);
2320   ierr = DMPlexGetHybridBounds(dm, &cMax, NULL, NULL, NULL);CHKERRQ(ierr);
2321   ierr = DMGetWorkArray(subdm, maxConeSize, PETSC_INT, (void**) &subface);CHKERRQ(ierr);
2322   for (c = 0; c < numSubCells; ++c) {
2323     const PetscInt  cell    = subCells[c];
2324     const PetscInt  subcell = c;
2325     const PetscInt *cone, *cells;
2326     PetscInt        numCells, subVertex, p, v;
2327 
2328     if (cell < cMax) continue;
2329     ierr = DMPlexGetCone(dm, cell, &cone);CHKERRQ(ierr);
2330     for (v = 0; v < nFV; ++v) {
2331       ierr = PetscFindInt(cone[v], numSubVertices, subVertices, &subVertex);CHKERRQ(ierr);
2332       subface[v] = firstSubVertex+subVertex;
2333     }
2334     ierr = DMPlexSetCone(subdm, newFacePoint, subface);CHKERRQ(ierr);
2335     ierr = DMPlexSetCone(subdm, subcell, &newFacePoint);CHKERRQ(ierr);
2336     ierr = DMPlexGetJoin(dm, nFV, cone, &numCells, &cells);CHKERRQ(ierr);
2337     /* Not true in parallel
2338     if (numCells != 2) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cohesive cells should separate two cells"); */
2339     for (p = 0; p < numCells; ++p) {
2340       PetscInt negsubcell;
2341 
2342       if (cells[p] >= cMax) continue;
2343       /* I know this is a crap search */
2344       for (negsubcell = 0; negsubcell < numSubCells; ++negsubcell) {
2345         if (subCells[negsubcell] == cells[p]) break;
2346       }
2347       if (negsubcell == numSubCells) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Could not find negative face neighbor for cohesive cell %d", cell);
2348       ierr = DMPlexSetCone(subdm, negsubcell, &newFacePoint);CHKERRQ(ierr);
2349     }
2350     ierr = DMPlexRestoreJoin(dm, nFV, cone, &numCells, &cells);CHKERRQ(ierr);
2351     ++newFacePoint;
2352   }
2353   ierr = DMRestoreWorkArray(subdm, maxConeSize, PETSC_INT, (void**) &subface);CHKERRQ(ierr);
2354   ierr = DMPlexSymmetrize(subdm);CHKERRQ(ierr);
2355   ierr = DMPlexStratify(subdm);CHKERRQ(ierr);
2356   /* Build coordinates */
2357   {
2358     PetscSection coordSection, subCoordSection;
2359     Vec          coordinates, subCoordinates;
2360     PetscScalar *coords, *subCoords;
2361     PetscInt     numComp, coordSize, v;
2362 
2363     ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
2364     ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
2365     ierr = DMPlexGetCoordinateSection(subdm, &subCoordSection);CHKERRQ(ierr);
2366     ierr = PetscSectionSetNumFields(subCoordSection, 1);CHKERRQ(ierr);
2367     ierr = PetscSectionGetFieldComponents(coordSection, 0, &numComp);CHKERRQ(ierr);
2368     ierr = PetscSectionSetFieldComponents(subCoordSection, 0, numComp);CHKERRQ(ierr);
2369     ierr = PetscSectionSetChart(subCoordSection, firstSubVertex, firstSubVertex+numSubVertices);CHKERRQ(ierr);
2370     for (v = 0; v < numSubVertices; ++v) {
2371       const PetscInt vertex    = subVertices[v];
2372       const PetscInt subvertex = firstSubVertex+v;
2373       PetscInt       dof;
2374 
2375       ierr = PetscSectionGetDof(coordSection, vertex, &dof);CHKERRQ(ierr);
2376       ierr = PetscSectionSetDof(subCoordSection, subvertex, dof);CHKERRQ(ierr);
2377       ierr = PetscSectionSetFieldDof(subCoordSection, subvertex, 0, dof);CHKERRQ(ierr);
2378     }
2379     ierr = PetscSectionSetUp(subCoordSection);CHKERRQ(ierr);
2380     ierr = PetscSectionGetStorageSize(subCoordSection, &coordSize);CHKERRQ(ierr);
2381     ierr = VecCreate(comm, &subCoordinates);CHKERRQ(ierr);
2382     ierr = VecSetSizes(subCoordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr);
2383     ierr = VecSetType(subCoordinates,dm->vectype);CHKERRQ(ierr);
2384     ierr = VecGetArray(coordinates,    &coords);CHKERRQ(ierr);
2385     ierr = VecGetArray(subCoordinates, &subCoords);CHKERRQ(ierr);
2386     for (v = 0; v < numSubVertices; ++v) {
2387       const PetscInt vertex    = subVertices[v];
2388       const PetscInt subvertex = firstSubVertex+v;
2389       PetscInt       dof, off, sdof, soff, d;
2390 
2391       ierr = PetscSectionGetDof(coordSection, vertex, &dof);CHKERRQ(ierr);
2392       ierr = PetscSectionGetOffset(coordSection, vertex, &off);CHKERRQ(ierr);
2393       ierr = PetscSectionGetDof(subCoordSection, subvertex, &sdof);CHKERRQ(ierr);
2394       ierr = PetscSectionGetOffset(subCoordSection, subvertex, &soff);CHKERRQ(ierr);
2395       if (dof != sdof) SETERRQ4(comm, PETSC_ERR_PLIB, "Coordinate dimension %d on subvertex %d, vertex %d should be %d", sdof, subvertex, vertex, dof);
2396       for (d = 0; d < dof; ++d) subCoords[soff+d] = coords[off+d];
2397     }
2398     ierr = VecRestoreArray(coordinates,    &coords);CHKERRQ(ierr);
2399     ierr = VecRestoreArray(subCoordinates, &subCoords);CHKERRQ(ierr);
2400     ierr = DMSetCoordinatesLocal(subdm, subCoordinates);CHKERRQ(ierr);
2401     ierr = VecDestroy(&subCoordinates);CHKERRQ(ierr);
2402   }
2403   /* Build SF */
2404   CHKMEMQ;
2405   {
2406     PetscSF            sfPoint, sfPointSub;
2407     const PetscSFNode *remotePoints;
2408     PetscSFNode       *sremotePoints, *newLocalPoints, *newOwners;
2409     const PetscInt    *localPoints;
2410     PetscInt          *slocalPoints;
2411     PetscInt           numRoots, numLeaves, numSubRoots = numSubCells+numSubFaces+numSubVertices, numSubLeaves = 0, l, sl, ll, pStart, pEnd, p, vStart, vEnd;
2412     PetscMPIInt        rank;
2413 
2414     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject) dm), &rank);CHKERRQ(ierr);
2415     ierr = DMGetPointSF(dm, &sfPoint);CHKERRQ(ierr);
2416     ierr = DMGetPointSF(subdm, &sfPointSub);CHKERRQ(ierr);
2417     ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
2418     ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
2419     ierr = PetscSFGetGraph(sfPoint, &numRoots, &numLeaves, &localPoints, &remotePoints);CHKERRQ(ierr);
2420     if (numRoots >= 0) {
2421       /* Only vertices should be shared */
2422       ierr = PetscMalloc2(pEnd-pStart,PetscSFNode,&newLocalPoints,numRoots,PetscSFNode,&newOwners);CHKERRQ(ierr);
2423       for (p = 0; p < pEnd-pStart; ++p) {
2424         newLocalPoints[p].rank  = -2;
2425         newLocalPoints[p].index = -2;
2426       }
2427       /* Set subleaves */
2428       for (l = 0; l < numLeaves; ++l) {
2429         const PetscInt point    = localPoints[l];
2430         const PetscInt subPoint = DMPlexFilterPoint_Internal(point, firstSubVertex, numSubVertices, subVertices);
2431 
2432         if ((point < vStart) && (point >= vEnd)) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Should not be mapping anything but vertices, %d", point);
2433         if (subPoint < 0) continue;
2434         newLocalPoints[point-pStart].rank  = rank;
2435         newLocalPoints[point-pStart].index = subPoint;
2436         ++numSubLeaves;
2437       }
2438       /* Must put in owned subpoints */
2439       for (p = pStart; p < pEnd; ++p) {
2440         const PetscInt subPoint = DMPlexFilterPoint_Internal(p, firstSubVertex, numSubVertices, subVertices);
2441 
2442         if (subPoint < 0) {
2443           newOwners[p-pStart].rank  = -3;
2444           newOwners[p-pStart].index = -3;
2445         } else {
2446           newOwners[p-pStart].rank  = rank;
2447           newOwners[p-pStart].index = subPoint;
2448         }
2449       }
2450       ierr = PetscSFReduceBegin(sfPoint, MPIU_2INT, newLocalPoints, newOwners, MPI_MAXLOC);CHKERRQ(ierr);
2451       ierr = PetscSFReduceEnd(sfPoint, MPIU_2INT, newLocalPoints, newOwners, MPI_MAXLOC);CHKERRQ(ierr);
2452       ierr = PetscSFBcastBegin(sfPoint, MPIU_2INT, newOwners, newLocalPoints);CHKERRQ(ierr);
2453       ierr = PetscSFBcastEnd(sfPoint, MPIU_2INT, newOwners, newLocalPoints);CHKERRQ(ierr);
2454       ierr = PetscMalloc(numSubLeaves * sizeof(PetscInt),    &slocalPoints);CHKERRQ(ierr);
2455       ierr = PetscMalloc(numSubLeaves * sizeof(PetscSFNode), &sremotePoints);CHKERRQ(ierr);
2456       for (l = 0, sl = 0, ll = 0; l < numLeaves; ++l) {
2457         const PetscInt point    = localPoints[l];
2458         const PetscInt subPoint = DMPlexFilterPoint_Internal(point, firstSubVertex, numSubVertices, subVertices);
2459 
2460         if (subPoint < 0) continue;
2461         if (newLocalPoints[point].rank == rank) {++ll; continue;}
2462         slocalPoints[sl]        = subPoint;
2463         sremotePoints[sl].rank  = newLocalPoints[point].rank;
2464         sremotePoints[sl].index = newLocalPoints[point].index;
2465         if (sremotePoints[sl].rank  < 0) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid remote rank for local point %d", point);
2466         if (sremotePoints[sl].index < 0) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid remote subpoint for local point %d", point);
2467         ++sl;
2468       }
2469       ierr = PetscFree2(newLocalPoints,newOwners);CHKERRQ(ierr);
2470       if (sl + ll != numSubLeaves) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Mismatch in number of subleaves %d + %d != %d", sl, ll, numSubLeaves);
2471       ierr = PetscSFSetGraph(sfPointSub, numSubRoots, sl, slocalPoints, PETSC_OWN_POINTER, sremotePoints, PETSC_OWN_POINTER);CHKERRQ(ierr);
2472     }
2473   }
2474   CHKMEMQ;
2475   /* Cleanup */
2476   if (subvertexIS) {ierr = ISRestoreIndices(subvertexIS, &subVertices);CHKERRQ(ierr);}
2477   ierr = ISDestroy(&subvertexIS);CHKERRQ(ierr);
2478   ierr = PetscFree(subCells);CHKERRQ(ierr);
2479   PetscFunctionReturn(0);
2480 }
2481 
2482 #undef __FUNCT__
2483 #define __FUNCT__ "DMPlexCreateCohesiveSubmesh_Interpolated"
2484 static PetscErrorCode DMPlexCreateCohesiveSubmesh_Interpolated(DM dm, PetscBool hasLagrange, const char label[], PetscInt value, DM subdm)
2485 {
2486   MPI_Comm         comm;
2487   DMLabel          subpointMap;
2488   IS              *subpointIS;
2489   const PetscInt **subpoints;
2490   PetscInt        *numSubPoints, *firstSubPoint, *coneNew;
2491   PetscInt         totSubPoints = 0, maxConeSize, dim, p, d, v;
2492   PetscErrorCode   ierr;
2493 
2494   PetscFunctionBegin;
2495   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
2496   /* Create subpointMap which marks the submesh */
2497   ierr = DMLabelCreate("subpoint_map", &subpointMap);CHKERRQ(ierr);
2498   ierr = DMPlexSetSubpointMap(subdm, subpointMap);CHKERRQ(ierr);
2499   ierr = DMLabelDestroy(&subpointMap);CHKERRQ(ierr);
2500   ierr = DMPlexMarkCohesiveSubmesh_Interpolated(dm, hasLagrange, label, value, subpointMap, subdm);CHKERRQ(ierr);
2501   /* Setup chart */
2502   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
2503   ierr = PetscMalloc4(dim+1,PetscInt,&numSubPoints,dim+1,PetscInt,&firstSubPoint,dim+1,IS,&subpointIS,dim+1,const PetscInt *,&subpoints);CHKERRQ(ierr);
2504   for (d = 0; d <= dim; ++d) {
2505     ierr = DMLabelGetStratumSize(subpointMap, d, &numSubPoints[d]);CHKERRQ(ierr);
2506     totSubPoints += numSubPoints[d];
2507   }
2508   ierr = DMPlexSetChart(subdm, 0, totSubPoints);CHKERRQ(ierr);
2509   ierr = DMPlexSetVTKCellHeight(subdm, 1);CHKERRQ(ierr);
2510   /* Set cone sizes */
2511   firstSubPoint[dim] = 0;
2512   firstSubPoint[0]   = firstSubPoint[dim] + numSubPoints[dim];
2513   if (dim > 1) {firstSubPoint[dim-1] = firstSubPoint[0]     + numSubPoints[0];}
2514   if (dim > 2) {firstSubPoint[dim-2] = firstSubPoint[dim-1] + numSubPoints[dim-1];}
2515   for (d = 0; d <= dim; ++d) {
2516     ierr = DMLabelGetStratumIS(subpointMap, d, &subpointIS[d]);CHKERRQ(ierr);
2517     ierr = ISGetIndices(subpointIS[d], &subpoints[d]);CHKERRQ(ierr);
2518   }
2519   for (d = 0; d <= dim; ++d) {
2520     for (p = 0; p < numSubPoints[d]; ++p) {
2521       const PetscInt  point    = subpoints[d][p];
2522       const PetscInt  subpoint = firstSubPoint[d] + p;
2523       const PetscInt *cone;
2524       PetscInt        coneSize, coneSizeNew, c, val;
2525 
2526       ierr = DMPlexGetConeSize(dm, point, &coneSize);CHKERRQ(ierr);
2527       ierr = DMPlexSetConeSize(subdm, subpoint, coneSize);CHKERRQ(ierr);
2528       if (d == dim) {
2529         ierr = DMPlexGetCone(dm, point, &cone);CHKERRQ(ierr);
2530         for (c = 0, coneSizeNew = 0; c < coneSize; ++c) {
2531           ierr = DMLabelGetValue(subpointMap, cone[c], &val);CHKERRQ(ierr);
2532           if (val >= 0) coneSizeNew++;
2533         }
2534         ierr = DMPlexSetConeSize(subdm, subpoint, coneSizeNew);CHKERRQ(ierr);
2535       }
2536     }
2537   }
2538   ierr = DMSetUp(subdm);CHKERRQ(ierr);
2539   /* Set cones */
2540   ierr = DMPlexGetMaxSizes(dm, &maxConeSize, NULL);CHKERRQ(ierr);
2541   ierr = PetscMalloc(maxConeSize * sizeof(PetscInt), &coneNew);CHKERRQ(ierr);
2542   for (d = 0; d <= dim; ++d) {
2543     for (p = 0; p < numSubPoints[d]; ++p) {
2544       const PetscInt  point    = subpoints[d][p];
2545       const PetscInt  subpoint = firstSubPoint[d] + p;
2546       const PetscInt *cone;
2547       PetscInt        coneSize, subconeSize, coneSizeNew, c, subc;
2548 
2549       ierr = DMPlexGetConeSize(dm, point, &coneSize);CHKERRQ(ierr);
2550       ierr = DMPlexGetConeSize(subdm, subpoint, &subconeSize);CHKERRQ(ierr);
2551       ierr = DMPlexGetCone(dm, point, &cone);CHKERRQ(ierr);
2552       for (c = 0, coneSizeNew = 0; c < coneSize; ++c) {
2553         ierr = PetscFindInt(cone[c], numSubPoints[d-1], subpoints[d-1], &subc);CHKERRQ(ierr);
2554         if (subc >= 0) coneNew[coneSizeNew++] = firstSubPoint[d-1] + subc;
2555       }
2556       if (coneSizeNew != subconeSize) SETERRQ2(comm, PETSC_ERR_PLIB, "Number of cone points located %d does not match subcone size %d", coneSizeNew, subconeSize);
2557       ierr = DMPlexSetCone(subdm, subpoint, coneNew);CHKERRQ(ierr);
2558     }
2559   }
2560   ierr = PetscFree(coneNew);CHKERRQ(ierr);
2561   ierr = DMPlexSymmetrize(subdm);CHKERRQ(ierr);
2562   ierr = DMPlexStratify(subdm);CHKERRQ(ierr);
2563   /* Build coordinates */
2564   {
2565     PetscSection coordSection, subCoordSection;
2566     Vec          coordinates, subCoordinates;
2567     PetscScalar *coords, *subCoords;
2568     PetscInt     numComp, coordSize;
2569 
2570     ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
2571     ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
2572     ierr = DMPlexGetCoordinateSection(subdm, &subCoordSection);CHKERRQ(ierr);
2573     ierr = PetscSectionSetNumFields(subCoordSection, 1);CHKERRQ(ierr);
2574     ierr = PetscSectionGetFieldComponents(coordSection, 0, &numComp);CHKERRQ(ierr);
2575     ierr = PetscSectionSetFieldComponents(subCoordSection, 0, numComp);CHKERRQ(ierr);
2576     ierr = PetscSectionSetChart(subCoordSection, firstSubPoint[0], firstSubPoint[0]+numSubPoints[0]);CHKERRQ(ierr);
2577     for (v = 0; v < numSubPoints[0]; ++v) {
2578       const PetscInt vertex    = subpoints[0][v];
2579       const PetscInt subvertex = firstSubPoint[0]+v;
2580       PetscInt       dof;
2581 
2582       ierr = PetscSectionGetDof(coordSection, vertex, &dof);CHKERRQ(ierr);
2583       ierr = PetscSectionSetDof(subCoordSection, subvertex, dof);CHKERRQ(ierr);
2584       ierr = PetscSectionSetFieldDof(subCoordSection, subvertex, 0, dof);CHKERRQ(ierr);
2585     }
2586     ierr = PetscSectionSetUp(subCoordSection);CHKERRQ(ierr);
2587     ierr = PetscSectionGetStorageSize(subCoordSection, &coordSize);CHKERRQ(ierr);
2588     ierr = VecCreate(comm, &subCoordinates);CHKERRQ(ierr);
2589     ierr = VecSetSizes(subCoordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr);
2590     ierr = VecSetType(subCoordinates,dm->vectype);CHKERRQ(ierr);
2591     ierr = VecGetArray(coordinates,    &coords);CHKERRQ(ierr);
2592     ierr = VecGetArray(subCoordinates, &subCoords);CHKERRQ(ierr);
2593     for (v = 0; v < numSubPoints[0]; ++v) {
2594       const PetscInt vertex    = subpoints[0][v];
2595       const PetscInt subvertex = firstSubPoint[0]+v;
2596       PetscInt dof, off, sdof, soff, d;
2597 
2598       ierr = PetscSectionGetDof(coordSection, vertex, &dof);CHKERRQ(ierr);
2599       ierr = PetscSectionGetOffset(coordSection, vertex, &off);CHKERRQ(ierr);
2600       ierr = PetscSectionGetDof(subCoordSection, subvertex, &sdof);CHKERRQ(ierr);
2601       ierr = PetscSectionGetOffset(subCoordSection, subvertex, &soff);CHKERRQ(ierr);
2602       if (dof != sdof) SETERRQ4(comm, PETSC_ERR_PLIB, "Coordinate dimension %d on subvertex %d, vertex %d should be %d", sdof, subvertex, vertex, dof);
2603       for (d = 0; d < dof; ++d) subCoords[soff+d] = coords[off+d];
2604     }
2605     ierr = VecRestoreArray(coordinates,    &coords);CHKERRQ(ierr);
2606     ierr = VecRestoreArray(subCoordinates, &subCoords);CHKERRQ(ierr);
2607     ierr = DMSetCoordinatesLocal(subdm, subCoordinates);CHKERRQ(ierr);
2608     ierr = VecDestroy(&subCoordinates);CHKERRQ(ierr);
2609   }
2610   /* Cleanup */
2611   for (d = 0; d <= dim; ++d) {
2612     ierr = ISRestoreIndices(subpointIS[d], &subpoints[d]);CHKERRQ(ierr);
2613     ierr = ISDestroy(&subpointIS[d]);CHKERRQ(ierr);
2614   }
2615   ierr = PetscFree4(numSubPoints,firstSubPoint,subpointIS,subpoints);CHKERRQ(ierr);
2616   PetscFunctionReturn(0);
2617 }
2618 
2619 #undef __FUNCT__
2620 #define __FUNCT__ "DMPlexCreateCohesiveSubmesh"
2621 /*
2622   DMPlexCreateCohesiveSubmesh - Extract from a mesh with cohesive cells the hypersurface defined by one face of the cells. Optionally, a Label an be given to restrict the cells.
2623 
2624   Input Parameters:
2625 + dm          - The original mesh
2626 . hasLagrange - The mesh has Lagrange unknowns in the cohesive cells
2627 . label       - A label name, or PETSC_NULL
2628 - value  - A label value
2629 
2630   Output Parameter:
2631 . subdm - The surface mesh
2632 
2633   Note: This function produces a DMLabel mapping original points in the submesh to their depth. This can be obtained using DMPlexGetSubpointMap().
2634 
2635   Level: developer
2636 
2637 .seealso: DMPlexGetSubpointMap(), DMPlexCreateSubmesh()
2638 */
2639 PetscErrorCode DMPlexCreateCohesiveSubmesh(DM dm, PetscBool hasLagrange, const char label[], PetscInt value, DM *subdm)
2640 {
2641   PetscInt       dim, depth;
2642   PetscErrorCode ierr;
2643 
2644   PetscFunctionBegin;
2645   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2646   PetscValidPointer(subdm, 5);
2647   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
2648   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
2649   ierr = DMCreate(PetscObjectComm((PetscObject)dm), subdm);CHKERRQ(ierr);
2650   ierr = DMSetType(*subdm, DMPLEX);CHKERRQ(ierr);
2651   ierr = DMPlexSetDimension(*subdm, dim-1);CHKERRQ(ierr);
2652   if (depth == dim) {
2653     ierr = DMPlexCreateCohesiveSubmesh_Interpolated(dm, hasLagrange, label, value, *subdm);CHKERRQ(ierr);
2654   } else {
2655     ierr = DMPlexCreateCohesiveSubmesh_Uninterpolated(dm, hasLagrange, label, value, *subdm);CHKERRQ(ierr);
2656   }
2657   PetscFunctionReturn(0);
2658 }
2659 
2660 #undef __FUNCT__
2661 #define __FUNCT__ "DMPlexGetSubpointMap"
2662 /*@
2663   DMPlexGetSubpointMap - Returns a DMLabel with point dimension as values
2664 
2665   Input Parameter:
2666 . dm - The submesh DM
2667 
2668   Output Parameter:
2669 . subpointMap - The DMLabel of all the points from the original mesh in this submesh, or NULL if this is not a submesh
2670 
2671   Level: developer
2672 
2673 .seealso: DMPlexCreateSubmesh(), DMPlexCreateSubpointIS()
2674 @*/
2675 PetscErrorCode DMPlexGetSubpointMap(DM dm, DMLabel *subpointMap)
2676 {
2677   DM_Plex *mesh = (DM_Plex*) dm->data;
2678 
2679   PetscFunctionBegin;
2680   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2681   PetscValidPointer(subpointMap, 2);
2682   *subpointMap = mesh->subpointMap;
2683   PetscFunctionReturn(0);
2684 }
2685 
2686 #undef __FUNCT__
2687 #define __FUNCT__ "DMPlexSetSubpointMap"
2688 /* Note: Should normally not be called by the user, since it is set in DMPlexCreateSubmesh() */
2689 PetscErrorCode DMPlexSetSubpointMap(DM dm, DMLabel subpointMap)
2690 {
2691   DM_Plex       *mesh = (DM_Plex *) dm->data;
2692   DMLabel        tmp;
2693   PetscErrorCode ierr;
2694 
2695   PetscFunctionBegin;
2696   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2697   tmp  = mesh->subpointMap;
2698   mesh->subpointMap = subpointMap;
2699   ++mesh->subpointMap->refct;
2700   ierr = DMLabelDestroy(&tmp);CHKERRQ(ierr);
2701   PetscFunctionReturn(0);
2702 }
2703 
2704 #undef __FUNCT__
2705 #define __FUNCT__ "DMPlexCreateSubpointIS"
2706 /*@
2707   DMPlexCreateSubpointIS - Creates an IS covering the entire subdm chart with the original points as data
2708 
2709   Input Parameter:
2710 . dm - The submesh DM
2711 
2712   Output Parameter:
2713 . subpointIS - The IS of all the points from the original mesh in this submesh, or NULL if this is not a submesh
2714 
2715   Note: This is IS is guaranteed to be sorted by the construction of the submesh
2716 
2717   Level: developer
2718 
2719 .seealso: DMPlexCreateSubmesh(), DMPlexGetSubpointMap()
2720 @*/
2721 PetscErrorCode DMPlexCreateSubpointIS(DM dm, IS *subpointIS)
2722 {
2723   MPI_Comm        comm;
2724   DMLabel         subpointMap;
2725   IS              is;
2726   const PetscInt *opoints;
2727   PetscInt       *points, *depths;
2728   PetscInt        depth, depStart, depEnd, d, pStart, pEnd, p, n, off;
2729   PetscErrorCode  ierr;
2730 
2731   PetscFunctionBegin;
2732   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2733   PetscValidPointer(subpointIS, 2);
2734   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
2735   *subpointIS = NULL;
2736   ierr = DMPlexGetSubpointMap(dm, &subpointMap);CHKERRQ(ierr);
2737   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
2738   if (subpointMap && depth >= 0) {
2739     ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
2740     if (pStart) SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Submeshes must start the point numbering at 0, not %d", pStart);
2741     ierr = DMGetWorkArray(dm, depth+1, PETSC_INT, &depths);CHKERRQ(ierr);
2742     depths[0] = depth;
2743     depths[1] = 0;
2744     for(d = 2; d <= depth; ++d) {depths[d] = depth+1 - d;}
2745     ierr = PetscMalloc(pEnd * sizeof(PetscInt), &points);CHKERRQ(ierr);
2746     for(d = 0, off = 0; d <= depth; ++d) {
2747       const PetscInt dep = depths[d];
2748 
2749       ierr = DMPlexGetDepthStratum(dm, dep, &depStart, &depEnd);CHKERRQ(ierr);
2750       ierr = DMLabelGetStratumSize(subpointMap, dep, &n);CHKERRQ(ierr);
2751       if (((d < 2) && (depth > 1)) || (d == 1)) { /* Only check vertices and cells for now since the map is broken for others */
2752         if (n != depEnd-depStart) SETERRQ3(comm, PETSC_ERR_ARG_WRONG, "The number of mapped submesh points %d at depth %d should be %d", n, dep, depEnd-depStart);
2753       } else {
2754         if (!n) {
2755           if (d == 0) {
2756             /* Missing cells */
2757             for(p = 0; p < depEnd-depStart; ++p, ++off) points[off] = -1;
2758           } else {
2759             /* Missing faces */
2760             for(p = 0; p < depEnd-depStart; ++p, ++off) points[off] = PETSC_MAX_INT;
2761           }
2762         }
2763       }
2764       if (n) {
2765         ierr = DMLabelGetStratumIS(subpointMap, dep, &is);CHKERRQ(ierr);
2766         ierr = ISGetIndices(is, &opoints);CHKERRQ(ierr);
2767         for(p = 0; p < n; ++p, ++off) points[off] = opoints[p];
2768         ierr = ISRestoreIndices(is, &opoints);CHKERRQ(ierr);
2769         ierr = ISDestroy(&is);CHKERRQ(ierr);
2770       }
2771     }
2772     ierr = DMRestoreWorkArray(dm, depth+1, PETSC_INT, &depths);CHKERRQ(ierr);
2773     if (off != pEnd) SETERRQ2(comm, PETSC_ERR_ARG_WRONG, "The number of mapped submesh points %d should be %d", off, pEnd);
2774     ierr = ISCreateGeneral(PETSC_COMM_SELF, pEnd, points, PETSC_OWN_POINTER, subpointIS);CHKERRQ(ierr);
2775   }
2776   PetscFunctionReturn(0);
2777 }
2778