xref: /petsc/src/dm/impls/plex/plexsubmesh.c (revision cf06b43775b4096662539d3d6f10b3edf5a71239)
1 #include <petsc-private/dmpleximpl.h>   /*I      "petscdmplex.h"   I*/
2 
3 #undef __FUNCT__
4 #define __FUNCT__ "DMPlexMarkBoundaryFaces"
5 /*@
6   DMPlexMarkBoundaryFaces - Mark all faces on the boundary
7 
8   Not Collective
9 
10   Input Parameter:
11 . dm - The original DM
12 
13   Output Parameter:
14 . label - The DMLabel marking boundary faces with value 1
15 
16   Level: developer
17 
18 .seealso: DMLabelCreate(), DMPlexCreateLabel()
19 @*/
20 PetscErrorCode DMPlexMarkBoundaryFaces(DM dm, DMLabel label)
21 {
22   PetscInt       fStart, fEnd, f;
23   PetscErrorCode ierr;
24 
25   PetscFunctionBegin;
26   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
27   ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr);
28   for (f = fStart; f < fEnd; ++f) {
29     PetscInt supportSize;
30 
31     ierr = DMPlexGetSupportSize(dm, f, &supportSize);CHKERRQ(ierr);
32     if (supportSize == 1) {
33       ierr = DMLabelSetValue(label, f, 1);CHKERRQ(ierr);
34     }
35   }
36   PetscFunctionReturn(0);
37 }
38 
39 #undef __FUNCT__
40 #define __FUNCT__ "DMPlexLabelComplete"
41 /*@
42   DMPlexLabelComplete - Starting with a label marking points on a surface, we add the transitive closure to the surface
43 
44   Input Parameters:
45 + dm - The DM
46 - label - A DMLabel marking the surface points
47 
48   Output Parameter:
49 . label - A DMLabel marking all surface points in the transitive closure
50 
51   Level: developer
52 
53 .seealso: DMPlexLabelCohesiveComplete()
54 @*/
55 PetscErrorCode DMPlexLabelComplete(DM dm, DMLabel label)
56 {
57   IS              valueIS;
58   const PetscInt *values;
59   PetscInt        numValues, v;
60   PetscErrorCode  ierr;
61 
62   PetscFunctionBegin;
63   ierr = DMLabelGetNumValues(label, &numValues);CHKERRQ(ierr);
64   ierr = DMLabelGetValueIS(label, &valueIS);CHKERRQ(ierr);
65   ierr = ISGetIndices(valueIS, &values);CHKERRQ(ierr);
66   for (v = 0; v < numValues; ++v) {
67     IS              pointIS;
68     const PetscInt *points;
69     PetscInt        numPoints, p;
70 
71     ierr = DMLabelGetStratumSize(label, values[v], &numPoints);CHKERRQ(ierr);
72     ierr = DMLabelGetStratumIS(label, values[v], &pointIS);CHKERRQ(ierr);
73     ierr = ISGetIndices(pointIS, &points);CHKERRQ(ierr);
74     for (p = 0; p < numPoints; ++p) {
75       PetscInt *closure = NULL;
76       PetscInt  closureSize, c;
77 
78       ierr = DMPlexGetTransitiveClosure(dm, points[p], PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
79       for (c = 0; c < closureSize*2; c += 2) {
80         ierr = DMLabelSetValue(label, closure[c], values[v]);CHKERRQ(ierr);
81       }
82       ierr = DMPlexRestoreTransitiveClosure(dm, points[p], PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
83     }
84     ierr = ISRestoreIndices(pointIS, &points);CHKERRQ(ierr);
85     ierr = ISDestroy(&pointIS);CHKERRQ(ierr);
86   }
87   ierr = ISRestoreIndices(valueIS, &values);CHKERRQ(ierr);
88   ierr = ISDestroy(&valueIS);CHKERRQ(ierr);
89   PetscFunctionReturn(0);
90 }
91 
92 #undef __FUNCT__
93 #define __FUNCT__ "DMPlexShiftPoint_Internal"
94 PETSC_STATIC_INLINE PetscInt DMPlexShiftPoint_Internal(PetscInt p, PetscInt depth, PetscInt depthEnd[], PetscInt depthShift[])
95 {
96   if (depth < 0) return p;
97   /* Cells    */ if (p < depthEnd[depth])   return p;
98   /* Vertices */ if (p < depthEnd[0])       return p + depthShift[depth];
99   /* Faces    */ if (p < depthEnd[depth-1]) return p + depthShift[depth] + depthShift[0];
100   /* Edges    */                            return p + depthShift[depth] + depthShift[0] + depthShift[depth-1];
101 }
102 
103 #undef __FUNCT__
104 #define __FUNCT__ "DMPlexShiftSizes_Internal"
105 static PetscErrorCode DMPlexShiftSizes_Internal(DM dm, PetscInt depthShift[], DM dmNew)
106 {
107   PetscInt      *depthEnd;
108   PetscInt       depth = 0, d, pStart, pEnd, p;
109   PetscErrorCode ierr;
110 
111   PetscFunctionBegin;
112   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
113   if (depth < 0) PetscFunctionReturn(0);
114   ierr = PetscMalloc((depth+1) * sizeof(PetscInt), &depthEnd);CHKERRQ(ierr);
115   /* Step 1: Expand chart */
116   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
117   for (d = 0; d <= depth; ++d) {
118     pEnd += depthShift[d];
119     ierr  = DMPlexGetDepthStratum(dm, d, NULL, &depthEnd[d]);CHKERRQ(ierr);
120   }
121   ierr = DMPlexSetChart(dmNew, pStart, pEnd);CHKERRQ(ierr);
122   /* Step 2: Set cone and support sizes */
123   for (d = 0; d <= depth; ++d) {
124     ierr = DMPlexGetDepthStratum(dm, d, &pStart, &pEnd);CHKERRQ(ierr);
125     for (p = pStart; p < pEnd; ++p) {
126       PetscInt newp = DMPlexShiftPoint_Internal(p, depth, depthEnd, depthShift);
127       PetscInt size;
128 
129       ierr = DMPlexGetConeSize(dm, p, &size);CHKERRQ(ierr);
130       ierr = DMPlexSetConeSize(dmNew, newp, size);CHKERRQ(ierr);
131       ierr = DMPlexGetSupportSize(dm, p, &size);CHKERRQ(ierr);
132       ierr = DMPlexSetSupportSize(dmNew, newp, size);CHKERRQ(ierr);
133     }
134   }
135   ierr = PetscFree(depthEnd);CHKERRQ(ierr);
136   PetscFunctionReturn(0);
137 }
138 
139 #undef __FUNCT__
140 #define __FUNCT__ "DMPlexShiftPoints_Internal"
141 static PetscErrorCode DMPlexShiftPoints_Internal(DM dm, PetscInt depthShift[], DM dmNew)
142 {
143   PetscInt      *depthEnd, *newpoints;
144   PetscInt       depth = 0, d, maxConeSize, maxSupportSize, pStart, pEnd, p;
145   PetscErrorCode ierr;
146 
147   PetscFunctionBegin;
148   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
149   if (depth < 0) PetscFunctionReturn(0);
150   ierr = DMPlexGetMaxSizes(dm, &maxConeSize, &maxSupportSize);CHKERRQ(ierr);
151   ierr = PetscMalloc2(depth+1,PetscInt,&depthEnd,PetscMax(maxConeSize, maxSupportSize),PetscInt,&newpoints);CHKERRQ(ierr);
152   for (d = 0; d <= depth; ++d) {
153     ierr = DMPlexGetDepthStratum(dm, d, NULL, &depthEnd[d]);CHKERRQ(ierr);
154   }
155   /* Step 5: Set cones and supports */
156   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
157   for (p = pStart; p < pEnd; ++p) {
158     const PetscInt *points = NULL, *orientations = NULL;
159     PetscInt        size, i, newp = DMPlexShiftPoint_Internal(p, depth, depthEnd, depthShift);
160 
161     ierr = DMPlexGetConeSize(dm, p, &size);CHKERRQ(ierr);
162     ierr = DMPlexGetCone(dm, p, &points);CHKERRQ(ierr);
163     ierr = DMPlexGetConeOrientation(dm, p, &orientations);CHKERRQ(ierr);
164     for (i = 0; i < size; ++i) {
165       newpoints[i] = DMPlexShiftPoint_Internal(points[i], depth, depthEnd, depthShift);
166     }
167     ierr = DMPlexSetCone(dmNew, newp, newpoints);CHKERRQ(ierr);
168     ierr = DMPlexSetConeOrientation(dmNew, newp, orientations);CHKERRQ(ierr);
169     ierr = DMPlexGetSupportSize(dm, p, &size);CHKERRQ(ierr);
170     ierr = DMPlexGetSupport(dm, p, &points);CHKERRQ(ierr);
171     for (i = 0; i < size; ++i) {
172       newpoints[i] = DMPlexShiftPoint_Internal(points[i], depth, depthEnd, depthShift);
173     }
174     ierr = DMPlexSetSupport(dmNew, newp, newpoints);CHKERRQ(ierr);
175   }
176   ierr = PetscFree2(depthEnd,newpoints);CHKERRQ(ierr);
177   PetscFunctionReturn(0);
178 }
179 
180 #undef __FUNCT__
181 #define __FUNCT__ "DMPlexShiftCoordinates_Internal"
182 static PetscErrorCode DMPlexShiftCoordinates_Internal(DM dm, PetscInt depthShift[], DM dmNew)
183 {
184   PetscSection   coordSection, newCoordSection;
185   Vec            coordinates, newCoordinates;
186   PetscScalar   *coords, *newCoords;
187   PetscInt      *depthEnd, coordSize;
188   PetscInt       dim, depth = 0, d, vStart, vEnd, vStartNew, vEndNew, v;
189   PetscErrorCode ierr;
190 
191   PetscFunctionBegin;
192   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
193   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
194   ierr = PetscMalloc((depth+1) * sizeof(PetscInt), &depthEnd);CHKERRQ(ierr);
195   for (d = 0; d <= depth; ++d) {
196     ierr = DMPlexGetDepthStratum(dm, d, NULL, &depthEnd[d]);CHKERRQ(ierr);
197   }
198   /* Step 8: Convert coordinates */
199   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
200   ierr = DMPlexGetDepthStratum(dmNew, 0, &vStartNew, &vEndNew);CHKERRQ(ierr);
201   ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
202   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &newCoordSection);CHKERRQ(ierr);
203   ierr = PetscSectionSetNumFields(newCoordSection, 1);CHKERRQ(ierr);
204   ierr = PetscSectionSetFieldComponents(newCoordSection, 0, dim);CHKERRQ(ierr);
205   ierr = PetscSectionSetChart(newCoordSection, vStartNew, vEndNew);CHKERRQ(ierr);
206   for (v = vStartNew; v < vEndNew; ++v) {
207     ierr = PetscSectionSetDof(newCoordSection, v, dim);CHKERRQ(ierr);
208     ierr = PetscSectionSetFieldDof(newCoordSection, v, 0, dim);CHKERRQ(ierr);
209   }
210   ierr = PetscSectionSetUp(newCoordSection);CHKERRQ(ierr);
211   ierr = DMPlexSetCoordinateSection(dmNew, newCoordSection);CHKERRQ(ierr);
212   ierr = PetscSectionGetStorageSize(newCoordSection, &coordSize);CHKERRQ(ierr);
213   ierr = VecCreate(PetscObjectComm((PetscObject)dm), &newCoordinates);CHKERRQ(ierr);
214   ierr = PetscObjectSetName((PetscObject) newCoordinates, "coordinates");CHKERRQ(ierr);
215   ierr = VecSetSizes(newCoordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr);
216   ierr = VecSetFromOptions(newCoordinates);CHKERRQ(ierr);
217   ierr = DMSetCoordinatesLocal(dmNew, newCoordinates);CHKERRQ(ierr);
218   ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
219   ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
220   ierr = VecGetArray(newCoordinates, &newCoords);CHKERRQ(ierr);
221   for (v = vStart; v < vEnd; ++v) {
222     PetscInt dof, off, noff, d;
223 
224     ierr = PetscSectionGetDof(coordSection, v, &dof);CHKERRQ(ierr);
225     ierr = PetscSectionGetOffset(coordSection, v, &off);CHKERRQ(ierr);
226     ierr = PetscSectionGetOffset(newCoordSection, DMPlexShiftPoint_Internal(v, depth, depthEnd, depthShift), &noff);CHKERRQ(ierr);
227     for (d = 0; d < dof; ++d) {
228       newCoords[noff+d] = coords[off+d];
229     }
230   }
231   ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
232   ierr = VecRestoreArray(newCoordinates, &newCoords);CHKERRQ(ierr);
233   ierr = VecDestroy(&newCoordinates);CHKERRQ(ierr);
234   ierr = PetscSectionDestroy(&newCoordSection);CHKERRQ(ierr);
235   ierr = PetscFree(depthEnd);CHKERRQ(ierr);
236   PetscFunctionReturn(0);
237 }
238 
239 #undef __FUNCT__
240 #define __FUNCT__ "DMPlexShiftSF_Internal"
241 static PetscErrorCode DMPlexShiftSF_Internal(DM dm, PetscInt depthShift[], DM dmNew)
242 {
243   PetscInt          *depthEnd;
244   PetscInt           depth = 0, d;
245   PetscSF            sfPoint, sfPointNew;
246   const PetscSFNode *remotePoints;
247   PetscSFNode       *gremotePoints;
248   const PetscInt    *localPoints;
249   PetscInt          *glocalPoints, *newLocation, *newRemoteLocation;
250   PetscInt           numRoots, numLeaves, l, pStart, pEnd, totShift = 0;
251   PetscMPIInt        numProcs;
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 = MPI_Comm_size(PetscObjectComm((PetscObject)dm), &numProcs);CHKERRQ(ierr);
263   ierr = DMGetPointSF(dm, &sfPoint);CHKERRQ(ierr);
264   ierr = DMGetPointSF(dmNew, &sfPointNew);CHKERRQ(ierr);
265   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
266   ierr = PetscSFGetGraph(sfPoint, &numRoots, &numLeaves, &localPoints, &remotePoints);CHKERRQ(ierr);
267   if (numRoots >= 0) {
268     ierr = PetscMalloc2(numRoots,PetscInt,&newLocation,pEnd-pStart,PetscInt,&newRemoteLocation);CHKERRQ(ierr);
269     for (l=0; l<numRoots; l++) newLocation[l] = DMPlexShiftPoint_Internal(l, depth, depthEnd, depthShift);
270     ierr = PetscSFBcastBegin(sfPoint, MPIU_INT, newLocation, newRemoteLocation);CHKERRQ(ierr);
271     ierr = PetscSFBcastEnd(sfPoint, MPIU_INT, newLocation, newRemoteLocation);CHKERRQ(ierr);
272     ierr = PetscMalloc(numLeaves * sizeof(PetscInt),    &glocalPoints);CHKERRQ(ierr);
273     ierr = PetscMalloc(numLeaves * sizeof(PetscSFNode), &gremotePoints);CHKERRQ(ierr);
274     for (l = 0; l < numLeaves; ++l) {
275       glocalPoints[l]        = DMPlexShiftPoint_Internal(localPoints[l], depth, depthEnd, depthShift);
276       gremotePoints[l].rank  = remotePoints[l].rank;
277       gremotePoints[l].index = newRemoteLocation[localPoints[l]];
278     }
279     ierr = PetscFree2(newLocation,newRemoteLocation);CHKERRQ(ierr);
280     ierr = PetscSFSetGraph(sfPointNew, numRoots + totShift, numLeaves, glocalPoints, PETSC_OWN_POINTER, gremotePoints, PETSC_OWN_POINTER);CHKERRQ(ierr);
281   }
282   ierr = PetscFree(depthEnd);CHKERRQ(ierr);
283   PetscFunctionReturn(0);
284 }
285 
286 #undef __FUNCT__
287 #define __FUNCT__ "DMPlexShiftLabels_Internal"
288 static PetscErrorCode DMPlexShiftLabels_Internal(DM dm, PetscInt depthShift[], DM dmNew)
289 {
290   PetscSF            sfPoint;
291   DMLabel            vtkLabel, ghostLabel;
292   PetscInt          *depthEnd;
293   const PetscSFNode *leafRemote;
294   const PetscInt    *leafLocal;
295   PetscInt           depth = 0, d, numLeaves, numLabels, l, cStart, cEnd, c, fStart, fEnd, f;
296   PetscMPIInt        rank;
297   PetscErrorCode     ierr;
298 
299   PetscFunctionBegin;
300   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
301   ierr = PetscMalloc((depth+1) * sizeof(PetscInt), &depthEnd);CHKERRQ(ierr);
302   for (d = 0; d <= depth; ++d) {
303     ierr = DMPlexGetDepthStratum(dm, d, NULL, &depthEnd[d]);CHKERRQ(ierr);
304   }
305   /* Step 10: Convert labels */
306   ierr = DMPlexGetNumLabels(dm, &numLabels);CHKERRQ(ierr);
307   for (l = 0; l < numLabels; ++l) {
308     DMLabel         label, newlabel;
309     const char     *lname;
310     PetscBool       isDepth;
311     IS              valueIS;
312     const PetscInt *values;
313     PetscInt        numValues, val;
314 
315     ierr = DMPlexGetLabelName(dm, l, &lname);CHKERRQ(ierr);
316     ierr = PetscStrcmp(lname, "depth", &isDepth);CHKERRQ(ierr);
317     if (isDepth) continue;
318     ierr = DMPlexCreateLabel(dmNew, lname);CHKERRQ(ierr);
319     ierr = DMPlexGetLabel(dm, lname, &label);CHKERRQ(ierr);
320     ierr = DMPlexGetLabel(dmNew, lname, &newlabel);CHKERRQ(ierr);
321     ierr = DMLabelGetValueIS(label, &valueIS);CHKERRQ(ierr);
322     ierr = ISGetLocalSize(valueIS, &numValues);CHKERRQ(ierr);
323     ierr = ISGetIndices(valueIS, &values);CHKERRQ(ierr);
324     for (val = 0; val < numValues; ++val) {
325       IS              pointIS;
326       const PetscInt *points;
327       PetscInt        numPoints, p;
328 
329       ierr = DMLabelGetStratumIS(label, values[val], &pointIS);CHKERRQ(ierr);
330       ierr = ISGetLocalSize(pointIS, &numPoints);CHKERRQ(ierr);
331       ierr = ISGetIndices(pointIS, &points);CHKERRQ(ierr);
332       for (p = 0; p < numPoints; ++p) {
333         const PetscInt newpoint = DMPlexShiftPoint_Internal(points[p], depth, depthEnd, depthShift);
334 
335         ierr = DMLabelSetValue(newlabel, newpoint, values[val]);CHKERRQ(ierr);
336       }
337       ierr = ISRestoreIndices(pointIS, &points);CHKERRQ(ierr);
338       ierr = ISDestroy(&pointIS);CHKERRQ(ierr);
339     }
340     ierr = ISRestoreIndices(valueIS, &values);CHKERRQ(ierr);
341     ierr = ISDestroy(&valueIS);CHKERRQ(ierr);
342   }
343   ierr = PetscFree(depthEnd);CHKERRQ(ierr);
344   /* Step 11: Make label for output (vtk) and to mark ghost points (ghost) */
345   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)dm), &rank);CHKERRQ(ierr);
346   ierr = DMGetPointSF(dm, &sfPoint);CHKERRQ(ierr);
347   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
348   ierr = PetscSFGetGraph(sfPoint, NULL, &numLeaves, &leafLocal, &leafRemote);CHKERRQ(ierr);
349   ierr = DMPlexCreateLabel(dmNew, "vtk");CHKERRQ(ierr);
350   ierr = DMPlexCreateLabel(dmNew, "ghost");CHKERRQ(ierr);
351   ierr = DMPlexGetLabel(dmNew, "vtk", &vtkLabel);CHKERRQ(ierr);
352   ierr = DMPlexGetLabel(dmNew, "ghost", &ghostLabel);CHKERRQ(ierr);
353   for (l = 0, c = cStart; l < numLeaves && c < cEnd; ++l, ++c) {
354     for (; c < leafLocal[l] && c < cEnd; ++c) {
355       ierr = DMLabelSetValue(vtkLabel, c, 1);CHKERRQ(ierr);
356     }
357     if (leafLocal[l] >= cEnd) break;
358     if (leafRemote[l].rank == rank) {
359       ierr = DMLabelSetValue(vtkLabel, c, 1);CHKERRQ(ierr);
360     } else {
361       ierr = DMLabelSetValue(ghostLabel, c, 2);CHKERRQ(ierr);
362     }
363   }
364   for (; c < cEnd; ++c) {
365     ierr = DMLabelSetValue(vtkLabel, c, 1);CHKERRQ(ierr);
366   }
367   if (0) {
368     ierr = PetscViewerASCIISynchronizedAllow(PETSC_VIEWER_STDOUT_WORLD, PETSC_TRUE);CHKERRQ(ierr);
369     ierr = DMLabelView(vtkLabel, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
370     ierr = PetscViewerFlush(PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
371   }
372   ierr = DMPlexGetHeightStratum(dmNew, 1, &fStart, &fEnd);CHKERRQ(ierr);
373   for (f = fStart; f < fEnd; ++f) {
374     PetscInt numCells;
375 
376     ierr = DMPlexGetSupportSize(dmNew, f, &numCells);CHKERRQ(ierr);
377     if (numCells < 2) {
378       ierr = DMLabelSetValue(ghostLabel, f, 1);CHKERRQ(ierr);
379     } else {
380       const PetscInt *cells = NULL;
381       PetscInt        vA, vB;
382 
383       ierr = DMPlexGetSupport(dmNew, f, &cells);CHKERRQ(ierr);
384       ierr = DMLabelGetValue(vtkLabel, cells[0], &vA);CHKERRQ(ierr);
385       ierr = DMLabelGetValue(vtkLabel, cells[1], &vB);CHKERRQ(ierr);
386       if (!vA && !vB) {ierr = DMLabelSetValue(ghostLabel, f, 1);CHKERRQ(ierr);}
387     }
388   }
389   if (0) {
390     ierr = PetscViewerASCIISynchronizedAllow(PETSC_VIEWER_STDOUT_WORLD, PETSC_TRUE);CHKERRQ(ierr);
391     ierr = DMLabelView(ghostLabel, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
392     ierr = PetscViewerFlush(PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
393   }
394   PetscFunctionReturn(0);
395 }
396 
397 #undef __FUNCT__
398 #define __FUNCT__ "DMPlexConstructGhostCells_Internal"
399 static PetscErrorCode DMPlexConstructGhostCells_Internal(DM dm, DMLabel label, PetscInt *numGhostCells, DM gdm)
400 {
401   IS              valueIS;
402   const PetscInt *values;
403   PetscInt       *depthShift;
404   PetscInt        depth = 0, numFS, fs, ghostCell, cEnd, c;
405   PetscErrorCode  ierr;
406 
407   PetscFunctionBegin;
408   /* Count ghost cells */
409   ierr = DMLabelGetValueIS(label, &valueIS);CHKERRQ(ierr);
410   ierr = ISGetLocalSize(valueIS, &numFS);CHKERRQ(ierr);
411   ierr = ISGetIndices(valueIS, &values);CHKERRQ(ierr);
412 
413   *numGhostCells = 0;
414   for (fs = 0; fs < numFS; ++fs) {
415     PetscInt numBdFaces;
416 
417     ierr = DMLabelGetStratumSize(label, values[fs], &numBdFaces);CHKERRQ(ierr);
418 
419     *numGhostCells += numBdFaces;
420   }
421   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
422   ierr = PetscMalloc((depth+1) * sizeof(PetscInt), &depthShift);CHKERRQ(ierr);
423   ierr = PetscMemzero(depthShift, (depth+1) * sizeof(PetscInt));CHKERRQ(ierr);
424   if (depth >= 0) depthShift[depth] = *numGhostCells;
425   ierr = DMPlexShiftSizes_Internal(dm, depthShift, gdm);CHKERRQ(ierr);
426   /* Step 3: Set cone/support sizes for new points */
427   ierr = DMPlexGetHeightStratum(dm, 0, NULL, &cEnd);CHKERRQ(ierr);
428   for (c = cEnd; c < cEnd + *numGhostCells; ++c) {
429     ierr = DMPlexSetConeSize(gdm, c, 1);CHKERRQ(ierr);
430   }
431   for (fs = 0; fs < numFS; ++fs) {
432     IS              faceIS;
433     const PetscInt *faces;
434     PetscInt        numFaces, f;
435 
436     ierr = DMLabelGetStratumIS(label, values[fs], &faceIS);CHKERRQ(ierr);
437     ierr = ISGetLocalSize(faceIS, &numFaces);CHKERRQ(ierr);
438     ierr = ISGetIndices(faceIS, &faces);CHKERRQ(ierr);
439     for (f = 0; f < numFaces; ++f) {
440       PetscInt size;
441 
442       ierr = DMPlexGetSupportSize(dm, faces[f], &size);CHKERRQ(ierr);
443       if (size != 1) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "DM has boundary face %d with %d support cells", faces[f], size);
444       ierr = DMPlexSetSupportSize(gdm, faces[f] + *numGhostCells, 2);CHKERRQ(ierr);
445     }
446     ierr = ISRestoreIndices(faceIS, &faces);CHKERRQ(ierr);
447     ierr = ISDestroy(&faceIS);CHKERRQ(ierr);
448   }
449   /* Step 4: Setup ghosted DM */
450   ierr = DMSetUp(gdm);CHKERRQ(ierr);
451   ierr = DMPlexShiftPoints_Internal(dm, depthShift, gdm);CHKERRQ(ierr);
452   /* Step 6: Set cones and supports for new points */
453   ghostCell = cEnd;
454   for (fs = 0; fs < numFS; ++fs) {
455     IS              faceIS;
456     const PetscInt *faces;
457     PetscInt        numFaces, f;
458 
459     ierr = DMLabelGetStratumIS(label, values[fs], &faceIS);CHKERRQ(ierr);
460     ierr = ISGetLocalSize(faceIS, &numFaces);CHKERRQ(ierr);
461     ierr = ISGetIndices(faceIS, &faces);CHKERRQ(ierr);
462     for (f = 0; f < numFaces; ++f, ++ghostCell) {
463       PetscInt newFace = faces[f] + *numGhostCells;
464 
465       ierr = DMPlexSetCone(gdm, ghostCell, &newFace);CHKERRQ(ierr);
466       ierr = DMPlexInsertSupport(gdm, newFace, 1, ghostCell);CHKERRQ(ierr);
467     }
468     ierr = ISRestoreIndices(faceIS, &faces);CHKERRQ(ierr);
469     ierr = ISDestroy(&faceIS);CHKERRQ(ierr);
470   }
471   ierr = ISRestoreIndices(valueIS, &values);CHKERRQ(ierr);
472   ierr = ISDestroy(&valueIS);CHKERRQ(ierr);
473   /* Step 7: Stratify */
474   ierr = DMPlexStratify(gdm);CHKERRQ(ierr);
475   ierr = DMPlexShiftCoordinates_Internal(dm, depthShift, gdm);CHKERRQ(ierr);
476   ierr = DMPlexShiftSF_Internal(dm, depthShift, gdm);CHKERRQ(ierr);
477   ierr = DMPlexShiftLabels_Internal(dm, depthShift, gdm);CHKERRQ(ierr);
478   ierr = PetscFree(depthShift);CHKERRQ(ierr);
479   PetscFunctionReturn(0);
480 }
481 
482 #undef __FUNCT__
483 #define __FUNCT__ "DMPlexConstructGhostCells"
484 /*@C
485   DMPlexConstructGhostCells - Construct ghost cells which connect to every boundary face
486 
487   Collective on dm
488 
489   Input Parameters:
490 + dm - The original DM
491 - labelName - The label specifying the boundary faces, or "Face Sets" if this is NULL
492 
493   Output Parameters:
494 + numGhostCells - The number of ghost cells added to the DM
495 - dmGhosted - The new DM
496 
497   Note: If no label exists of that name, one will be created marking all boundary faces
498 
499   Level: developer
500 
501 .seealso: DMCreate()
502 */
503 PetscErrorCode DMPlexConstructGhostCells(DM dm, const char labelName[], PetscInt *numGhostCells, DM *dmGhosted)
504 {
505   DM             gdm;
506   DMLabel        label;
507   const char    *name = labelName ? labelName : "Face Sets";
508   PetscInt       dim;
509   PetscErrorCode ierr;
510 
511   PetscFunctionBegin;
512   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
513   PetscValidPointer(numGhostCells, 3);
514   PetscValidPointer(dmGhosted, 4);
515   ierr = DMCreate(PetscObjectComm((PetscObject)dm), &gdm);CHKERRQ(ierr);
516   ierr = DMSetType(gdm, DMPLEX);CHKERRQ(ierr);
517   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
518   ierr = DMPlexSetDimension(gdm, dim);CHKERRQ(ierr);
519   ierr = DMPlexGetLabel(dm, name, &label);CHKERRQ(ierr);
520   if (!label) {
521     /* Get label for boundary faces */
522     ierr = DMPlexCreateLabel(dm, name);CHKERRQ(ierr);
523     ierr = DMPlexGetLabel(dm, name, &label);CHKERRQ(ierr);
524     ierr = DMPlexMarkBoundaryFaces(dm, label);CHKERRQ(ierr);
525   }
526   ierr = DMPlexConstructGhostCells_Internal(dm, label, numGhostCells, gdm);CHKERRQ(ierr);
527   ierr = DMSetFromOptions(gdm);CHKERRQ(ierr);
528   *dmGhosted = gdm;
529   PetscFunctionReturn(0);
530 }
531 
532 #undef __FUNCT__
533 #define __FUNCT__ "DMPlexConstructCohesiveCells_Internal"
534 static PetscErrorCode DMPlexConstructCohesiveCells_Internal(DM dm, DMLabel label, DM sdm)
535 {
536   MPI_Comm        comm;
537   IS              valueIS, *pointIS;
538   const PetscInt *values, **splitPoints;
539   PetscSection    coordSection;
540   Vec             coordinates;
541   PetscScalar    *coords;
542   PetscInt       *depthShift, *depthOffset, *pMaxNew, *numSplitPoints, *coneNew, *supportNew;
543   PetscInt        shift = 100, depth = 0, dep, dim, d, numSP = 0, sp, maxConeSize, maxSupportSize, numLabels, p, v;
544   PetscErrorCode  ierr;
545 
546   PetscFunctionBegin;
547   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
548   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
549   /* Count split points and add cohesive cells */
550   if (label) {
551     ierr = DMLabelGetValueIS(label, &valueIS);CHKERRQ(ierr);
552     ierr = ISGetLocalSize(valueIS, &numSP);CHKERRQ(ierr);
553     ierr = ISGetIndices(valueIS, &values);CHKERRQ(ierr);
554   }
555   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
556   ierr = DMPlexGetMaxSizes(dm, &maxConeSize, &maxSupportSize);CHKERRQ(ierr);
557   ierr = PetscMalloc5(depth+1,PetscInt,&depthShift,depth+1,PetscInt,&depthOffset,depth+1,PetscInt,&pMaxNew,maxConeSize*3,PetscInt,&coneNew,maxSupportSize,PetscInt,&supportNew);CHKERRQ(ierr);
558   ierr = PetscMalloc3(depth+1,IS,&pointIS,depth+1,PetscInt,&numSplitPoints,depth+1,const PetscInt*,&splitPoints);CHKERRQ(ierr);
559   ierr = PetscMemzero(depthShift, (depth+1) * sizeof(PetscInt));CHKERRQ(ierr);
560   for (d = 0; d <= depth; ++d) {
561     ierr              = DMPlexGetDepthStratum(dm, d, NULL, &pMaxNew[d]);CHKERRQ(ierr);
562     numSplitPoints[d] = 0;
563     splitPoints[d]    = NULL;
564     pointIS[d]        = NULL;
565   }
566   for (sp = 0; sp < numSP; ++sp) {
567     const PetscInt dep = values[sp];
568 
569     if ((dep < 0) || (dep > depth)) continue;
570     ierr = DMLabelGetStratumSize(label, dep, &depthShift[dep]);CHKERRQ(ierr);
571     ierr = DMLabelGetStratumIS(label, dep, &pointIS[dep]);CHKERRQ(ierr);
572     if (pointIS[dep]) {
573       ierr = ISGetLocalSize(pointIS[dep], &numSplitPoints[dep]);CHKERRQ(ierr);
574       ierr = ISGetIndices(pointIS[dep], &splitPoints[dep]);CHKERRQ(ierr);
575     }
576   }
577   if (depth >= 0) {
578     /* Calculate number of additional points */
579     depthShift[depth] = depthShift[depth-1]; /* There is a cohesive cell for every split face   */
580     depthShift[1]    += depthShift[0];       /* There is a cohesive edge for every split vertex */
581     /* Calculate hybrid bound for each dimension */
582     pMaxNew[0] += depthShift[depth];
583     if (depth > 1) pMaxNew[dim-1] += depthShift[depth] + depthShift[0];
584     if (depth > 2) pMaxNew[1]     += depthShift[depth] + depthShift[0] + depthShift[dim-1];
585 
586     /* Calculate point offset for each dimension */
587     depthOffset[depth] = 0;
588     depthOffset[0]     = depthOffset[depth] + depthShift[depth];
589     if (depth > 1) depthOffset[dim-1] = depthOffset[0]     + depthShift[0];
590     if (depth > 2) depthOffset[1]     = depthOffset[dim-1] + depthShift[dim-1];
591   }
592   ierr = DMPlexShiftSizes_Internal(dm, depthShift, sdm);CHKERRQ(ierr);
593   /* Step 3: Set cone/support sizes for new points */
594   for (dep = 0; dep <= depth; ++dep) {
595     for (p = 0; p < numSplitPoints[dep]; ++p) {
596       const PetscInt  oldp   = splitPoints[dep][p];
597       const PetscInt  newp   = depthOffset[dep] + oldp;
598       const PetscInt  splitp = pMaxNew[dep] + p;
599       const PetscInt *support;
600       PetscInt        coneSize, supportSize, q, e;
601 
602       ierr = DMPlexGetConeSize(dm, oldp, &coneSize);CHKERRQ(ierr);
603       ierr = DMPlexSetConeSize(sdm, splitp, coneSize);CHKERRQ(ierr);
604       ierr = DMPlexGetSupportSize(dm, oldp, &supportSize);CHKERRQ(ierr);
605       ierr = DMPlexSetSupportSize(sdm, splitp, supportSize);CHKERRQ(ierr);
606       if (dep == depth-1) {
607         const PetscInt ccell = pMaxNew[depth] + p;
608         /* Add cohesive cells, they are prisms */
609         ierr = DMPlexSetConeSize(sdm, ccell, 2 + coneSize);CHKERRQ(ierr);
610       } else if (dep == 0) {
611         const PetscInt cedge = pMaxNew[1] + (depthShift[1] - depthShift[0]) + p;
612 
613         ierr = DMPlexGetSupport(dm, oldp, &support);CHKERRQ(ierr);
614         /* Split old vertex: Edges in old split faces and new cohesive edge */
615         for (e = 0, q = 0; e < supportSize; ++e) {
616           PetscInt val;
617 
618           ierr = DMLabelGetValue(label, support[e], &val);CHKERRQ(ierr);
619           if ((val == 1) || (val == (shift + 1))) ++q;
620         }
621         ierr = DMPlexSetSupportSize(sdm, newp, q+1);CHKERRQ(ierr);
622         /* Split new vertex: Edges in new split faces and new cohesive edge */
623         for (e = 0, q = 0; e < supportSize; ++e) {
624           PetscInt val;
625 
626           ierr = DMLabelGetValue(label, support[e], &val);CHKERRQ(ierr);
627           if ((val == 1) || (val == -(shift + 1))) ++q;
628         }
629         ierr = DMPlexSetSupportSize(sdm, splitp, q+1);CHKERRQ(ierr);
630         /* Add cohesive edges */
631         ierr = DMPlexSetConeSize(sdm, cedge, 2);CHKERRQ(ierr);
632         /* Punt for now on support, you loop over closure, extract faces, check which ones are in the label */
633       } else if (dep == dim-2) {
634         ierr = DMPlexGetSupport(dm, oldp, &support);CHKERRQ(ierr);
635         /* Split old edge: Faces in positive side cells and old split faces */
636         for (e = 0, q = 0; e < supportSize; ++e) {
637           PetscInt val;
638 
639           ierr = DMLabelGetValue(label, support[e], &val);CHKERRQ(ierr);
640           if ((val == dim-1) || (val == (shift + dim-1))) ++q;
641         }
642         ierr = DMPlexSetSupportSize(sdm, newp, q);CHKERRQ(ierr);
643         /* Split new edge: Faces in negative side cells and new split faces */
644         for (e = 0, q = 0; e < supportSize; ++e) {
645           PetscInt val;
646 
647           ierr = DMLabelGetValue(label, support[e], &val);CHKERRQ(ierr);
648           if ((val == dim-1) || (val == -(shift + dim-1))) ++q;
649         }
650         ierr = DMPlexSetSupportSize(sdm, splitp, q);CHKERRQ(ierr);
651       }
652     }
653   }
654   /* Step 4: Setup split DM */
655   ierr = DMSetUp(sdm);CHKERRQ(ierr);
656   ierr = DMPlexShiftPoints_Internal(dm, depthShift, sdm);CHKERRQ(ierr);
657   /* Step 6: Set cones and supports for new points */
658   for (dep = 0; dep <= depth; ++dep) {
659     for (p = 0; p < numSplitPoints[dep]; ++p) {
660       const PetscInt  oldp   = splitPoints[dep][p];
661       const PetscInt  newp   = depthOffset[dep] + oldp;
662       const PetscInt  splitp = pMaxNew[dep] + p;
663       const PetscInt *cone, *support, *ornt;
664       PetscInt        coneSize, supportSize, q, v, e, s;
665 
666       ierr = DMPlexGetConeSize(dm, oldp, &coneSize);CHKERRQ(ierr);
667       ierr = DMPlexGetCone(dm, oldp, &cone);CHKERRQ(ierr);
668       ierr = DMPlexGetConeOrientation(dm, oldp, &ornt);CHKERRQ(ierr);
669       ierr = DMPlexGetSupportSize(dm, oldp, &supportSize);CHKERRQ(ierr);
670       ierr = DMPlexGetSupport(dm, oldp, &support);CHKERRQ(ierr);
671       if (dep == depth-1) {
672         const PetscInt  ccell = pMaxNew[depth] + p;
673         const PetscInt *supportF;
674 
675         /* Split face:       copy in old face to new face to start */
676         ierr = DMPlexGetSupport(sdm, newp,  &supportF);CHKERRQ(ierr);
677         ierr = DMPlexSetSupport(sdm, splitp, supportF);CHKERRQ(ierr);
678         /* Split old face:   old vertices/edges in cone so no change */
679         /* Split new face:   new vertices/edges in cone */
680         for (q = 0; q < coneSize; ++q) {
681           ierr = PetscFindInt(cone[q], numSplitPoints[dim-2], splitPoints[dim-2], &v);CHKERRQ(ierr);
682 
683           coneNew[2+q] = pMaxNew[dim-2] + v;
684         }
685         ierr = DMPlexSetCone(sdm, splitp, &coneNew[2]);CHKERRQ(ierr);
686         ierr = DMPlexSetConeOrientation(sdm, splitp, ornt);CHKERRQ(ierr);
687         /* Cohesive cell:    Old and new split face, then new cohesive edges */
688         coneNew[0] = newp;
689         coneNew[1] = splitp;
690         for (q = 0; q < coneSize; ++q) {
691           coneNew[2+q] = (pMaxNew[1] - pMaxNew[dim-2]) + (depthShift[1] - depthShift[0]) + coneNew[2+q];
692         }
693         ierr = DMPlexSetCone(sdm, ccell, coneNew);CHKERRQ(ierr);
694 
695 
696         for (s = 0; s < supportSize; ++s) {
697           PetscInt val;
698 
699           ierr = DMLabelGetValue(label, support[s], &val);CHKERRQ(ierr);
700           if (val < 0) {
701             /* Split old face:   Replace negative side cell with cohesive cell */
702             ierr = DMPlexInsertSupport(sdm, newp, s, ccell);CHKERRQ(ierr);
703           } else {
704             /* Split new face:   Replace positive side cell with cohesive cell */
705             ierr = DMPlexInsertSupport(sdm, splitp, s, ccell);CHKERRQ(ierr);
706           }
707         }
708       } else if (dep == 0) {
709         const PetscInt cedge = pMaxNew[1] + (depthShift[1] - depthShift[0]) + p;
710 
711         /* Split old vertex: Edges in old split faces and new cohesive edge */
712         for (e = 0, q = 0; e < supportSize; ++e) {
713           PetscInt val;
714 
715           ierr = DMLabelGetValue(label, support[e], &val);CHKERRQ(ierr);
716           if ((val == 1) || (val == (shift + 1))) {
717             supportNew[q++] = depthOffset[1] + support[e];
718           }
719         }
720         supportNew[q] = cedge;
721 
722         ierr = DMPlexSetSupport(sdm, newp, supportNew);CHKERRQ(ierr);
723         /* Split new vertex: Edges in new split faces and new cohesive edge */
724         for (e = 0, q = 0; e < supportSize; ++e) {
725           PetscInt val, edge;
726 
727           ierr = DMLabelGetValue(label, support[e], &val);CHKERRQ(ierr);
728           if (val == 1) {
729             ierr = PetscFindInt(support[e], numSplitPoints[1], splitPoints[1], &edge);CHKERRQ(ierr);
730             if (edge < 0) SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Edge %d is not a split edge", support[e]);
731             supportNew[q++] = pMaxNew[1] + edge;
732           } else if (val == -(shift + 1)) {
733             supportNew[q++] = depthOffset[1] + support[e];
734           }
735         }
736         supportNew[q] = cedge;
737         ierr          = DMPlexSetSupport(sdm, splitp, supportNew);CHKERRQ(ierr);
738         /* Cohesive edge:    Old and new split vertex, punting on support */
739         coneNew[0] = newp;
740         coneNew[1] = splitp;
741         ierr       = DMPlexSetCone(sdm, cedge, coneNew);CHKERRQ(ierr);
742       } else if (dep == dim-2) {
743         /* Split old edge:   old vertices in cone so no change */
744         /* Split new edge:   new vertices in cone */
745         for (q = 0; q < coneSize; ++q) {
746           ierr = PetscFindInt(cone[q], numSplitPoints[dim-3], splitPoints[dim-3], &v);CHKERRQ(ierr);
747 
748           coneNew[q] = pMaxNew[dim-3] + v;
749         }
750         ierr = DMPlexSetCone(sdm, splitp, coneNew);CHKERRQ(ierr);
751         /* Split old edge: Faces in positive side cells and old split faces */
752         for (e = 0, q = 0; e < supportSize; ++e) {
753           PetscInt val;
754 
755           ierr = DMLabelGetValue(label, support[e], &val);CHKERRQ(ierr);
756           if ((val == dim-1) || (val == (shift + dim-1))) {
757             supportNew[q++] = depthOffset[dim-1] + support[e];
758           }
759         }
760         ierr = DMPlexSetSupport(sdm, newp, supportNew);CHKERRQ(ierr);
761         /* Split new edge: Faces in negative side cells and new split faces */
762         for (e = 0, q = 0; e < supportSize; ++e) {
763           PetscInt val, face;
764 
765           ierr = DMLabelGetValue(label, support[e], &val);CHKERRQ(ierr);
766           if (val == dim-1) {
767             ierr = PetscFindInt(support[e], numSplitPoints[dim-1], splitPoints[dim-1], &face);CHKERRQ(ierr);
768             if (face < 0) SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Face %d is not a split face", support[e]);
769             supportNew[q++] = pMaxNew[dim-1] + face;
770           } else if (val == -(shift + dim-1)) {
771             supportNew[q++] = depthOffset[dim-1] + support[e];
772           }
773         }
774         ierr = DMPlexSetSupport(sdm, splitp, supportNew);CHKERRQ(ierr);
775       }
776     }
777   }
778   /* Step 6b: Replace split points in negative side cones */
779   for (sp = 0; sp < numSP; ++sp) {
780     PetscInt        dep = values[sp];
781     IS              pIS;
782     PetscInt        numPoints;
783     const PetscInt *points;
784 
785     if (dep >= 0) continue;
786     ierr = DMLabelGetStratumIS(label, dep, &pIS);CHKERRQ(ierr);
787     if (!pIS) continue;
788     dep  = -dep - shift;
789     ierr = ISGetLocalSize(pIS, &numPoints);CHKERRQ(ierr);
790     ierr = ISGetIndices(pIS, &points);CHKERRQ(ierr);
791     for (p = 0; p < numPoints; ++p) {
792       const PetscInt  oldp = points[p];
793       const PetscInt  newp = depthOffset[dep] + oldp;
794       const PetscInt *cone;
795       PetscInt        coneSize, c;
796       PetscBool       replaced = PETSC_FALSE;
797 
798       /* Negative edge: replace split vertex */
799       /* Negative cell: replace split face */
800       ierr = DMPlexGetConeSize(sdm, newp, &coneSize);CHKERRQ(ierr);
801       ierr = DMPlexGetCone(sdm, newp, &cone);CHKERRQ(ierr);
802       for (c = 0; c < coneSize; ++c) {
803         const PetscInt coldp = cone[c] - depthOffset[dep-1];
804         PetscInt       csplitp, cp, val;
805 
806         ierr = DMLabelGetValue(label, coldp, &val);CHKERRQ(ierr);
807         if (val == dep-1) {
808           ierr = PetscFindInt(coldp, numSplitPoints[dep-1], splitPoints[dep-1], &cp);CHKERRQ(ierr);
809           if (cp < 0) SETERRQ2(comm, PETSC_ERR_ARG_WRONG, "Point %d is not a split point of dimension %d", oldp, dep-1);
810           csplitp  = pMaxNew[dep-1] + cp;
811           ierr     = DMPlexInsertCone(sdm, newp, c, csplitp);CHKERRQ(ierr);
812           replaced = PETSC_TRUE;
813         }
814       }
815       if (!replaced) SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "The cone of point %d does not contain split points", oldp);
816     }
817     ierr = ISRestoreIndices(pIS, &points);CHKERRQ(ierr);
818     ierr = ISDestroy(&pIS);CHKERRQ(ierr);
819   }
820   /* Step 7: Stratify */
821   ierr = DMPlexStratify(sdm);CHKERRQ(ierr);
822   /* Step 8: Coordinates */
823   ierr = DMPlexShiftCoordinates_Internal(dm, depthShift, sdm);CHKERRQ(ierr);
824   ierr = DMPlexGetCoordinateSection(sdm, &coordSection);CHKERRQ(ierr);
825   ierr = DMGetCoordinatesLocal(sdm, &coordinates);CHKERRQ(ierr);
826   ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
827   for (v = 0; v < (numSplitPoints ? numSplitPoints[0] : 0); ++v) {
828     const PetscInt newp   = depthOffset[0] + splitPoints[0][v];
829     const PetscInt splitp = pMaxNew[0] + v;
830     PetscInt       dof, off, soff, d;
831 
832     ierr = PetscSectionGetDof(coordSection, newp, &dof);CHKERRQ(ierr);
833     ierr = PetscSectionGetOffset(coordSection, newp, &off);CHKERRQ(ierr);
834     ierr = PetscSectionGetOffset(coordSection, splitp, &soff);CHKERRQ(ierr);
835     for (d = 0; d < dof; ++d) coords[soff+d] = coords[off+d];
836   }
837   ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
838   /* Step 9: SF, if I can figure this out we can split the mesh in parallel */
839   ierr = DMPlexShiftSF_Internal(dm, depthShift, sdm);CHKERRQ(ierr);
840   /* Step 10: Labels */
841   ierr = DMPlexShiftLabels_Internal(dm, depthShift, sdm);CHKERRQ(ierr);
842   ierr = DMPlexGetNumLabels(sdm, &numLabels);CHKERRQ(ierr);
843   for (dep = 0; dep <= depth; ++dep) {
844     for (p = 0; p < numSplitPoints[dep]; ++p) {
845       const PetscInt newp   = depthOffset[dep] + splitPoints[dep][p];
846       const PetscInt splitp = pMaxNew[dep] + p;
847       PetscInt       l;
848 
849       for (l = 0; l < numLabels; ++l) {
850         DMLabel     mlabel;
851         const char *lname;
852         PetscInt    val;
853 
854         ierr = DMPlexGetLabelName(sdm, l, &lname);CHKERRQ(ierr);
855         ierr = DMPlexGetLabel(sdm, lname, &mlabel);CHKERRQ(ierr);
856         ierr = DMLabelGetValue(mlabel, newp, &val);CHKERRQ(ierr);
857         if (val >= 0) {
858           ierr = DMLabelSetValue(mlabel, splitp, val);CHKERRQ(ierr);
859           if (dep == 0) {
860             const PetscInt cedge = pMaxNew[1] + (depthShift[1] - depthShift[0]) + p;
861             ierr = DMLabelSetValue(mlabel, cedge, val);CHKERRQ(ierr);
862           }
863         }
864       }
865     }
866   }
867   for (sp = 0; sp < numSP; ++sp) {
868     const PetscInt dep = values[sp];
869 
870     if ((dep < 0) || (dep > depth)) continue;
871     if (pointIS[dep]) {ierr = ISRestoreIndices(pointIS[dep], &splitPoints[dep]);CHKERRQ(ierr);}
872     ierr = ISDestroy(&pointIS[dep]);CHKERRQ(ierr);
873   }
874   if (label) {
875     ierr = ISRestoreIndices(valueIS, &values);CHKERRQ(ierr);
876     ierr = ISDestroy(&valueIS);CHKERRQ(ierr);
877   }
878   ierr = PetscFree5(depthShift, depthOffset, pMaxNew, coneNew, supportNew);CHKERRQ(ierr);
879   ierr = PetscFree3(pointIS, numSplitPoints, splitPoints);CHKERRQ(ierr);
880   PetscFunctionReturn(0);
881 }
882 
883 #undef __FUNCT__
884 #define __FUNCT__ "DMPlexConstructCohesiveCells"
885 /*@C
886   DMPlexConstructCohesiveCells - Construct cohesive cells which split the face along an internal interface
887 
888   Collective on dm
889 
890   Input Parameters:
891 + dm - The original DM
892 - labelName - The label specifying the boundary faces (this could be auto-generated)
893 
894   Output Parameters:
895 - dmSplit - The new DM
896 
897   Level: developer
898 
899 .seealso: DMCreate(), DMPlexLabelCohesiveComplete()
900 @*/
901 PetscErrorCode DMPlexConstructCohesiveCells(DM dm, DMLabel label, DM *dmSplit)
902 {
903   DM             sdm;
904   PetscInt       dim;
905   PetscErrorCode ierr;
906 
907   PetscFunctionBegin;
908   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
909   PetscValidPointer(dmSplit, 4);
910   ierr = DMCreate(PetscObjectComm((PetscObject)dm), &sdm);CHKERRQ(ierr);
911   ierr = DMSetType(sdm, DMPLEX);CHKERRQ(ierr);
912   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
913   ierr = DMPlexSetDimension(sdm, dim);CHKERRQ(ierr);
914   switch (dim) {
915   case 2:
916   case 3:
917     ierr = DMPlexConstructCohesiveCells_Internal(dm, label, sdm);CHKERRQ(ierr);
918     break;
919   default:
920     SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Cannot construct cohesive cells for dimension %d", dim);
921   }
922   *dmSplit = sdm;
923   PetscFunctionReturn(0);
924 }
925 
926 #undef __FUNCT__
927 #define __FUNCT__ "DMPlexLabelCohesiveComplete"
928 /*@
929   DMPlexLabelCohesiveComplete - Starting with a label marking vertices on an internal surface, we add all other mesh pieces
930   to complete the surface
931 
932   Input Parameters:
933 + dm - The DM
934 - label - A DMLabel marking the surface vertices
935 
936   Output Parameter:
937 . label - A DMLabel marking all surface points
938 
939   Level: developer
940 
941 .seealso: DMPlexConstructCohesiveCells(), DMPlexLabelComplete()
942 @*/
943 PetscErrorCode DMPlexLabelCohesiveComplete(DM dm, DMLabel label)
944 {
945   IS              dimIS;
946   const PetscInt *points;
947   PetscInt        shift = 100, dim, dep, cStart, cEnd, numPoints, p, val;
948   PetscErrorCode  ierr;
949 
950   PetscFunctionBegin;
951   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
952   /* Cell orientation for face gives the side of the fault */
953   ierr = DMLabelGetStratumIS(label, dim-1, &dimIS);CHKERRQ(ierr);
954   if (!dimIS) PetscFunctionReturn(0);
955   ierr = ISGetLocalSize(dimIS, &numPoints);CHKERRQ(ierr);
956   ierr = ISGetIndices(dimIS, &points);CHKERRQ(ierr);
957   for (p = 0; p < numPoints; ++p) {
958     const PetscInt *support;
959     PetscInt        supportSize, s;
960 
961     ierr = DMPlexGetSupportSize(dm, points[p], &supportSize);CHKERRQ(ierr);
962     if (supportSize != 2) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Split face %d has %d != 2 supports", points[p], supportSize);
963     ierr = DMPlexGetSupport(dm, points[p], &support);CHKERRQ(ierr);
964     for (s = 0; s < supportSize; ++s) {
965       const PetscInt *cone, *ornt;
966       PetscInt        coneSize, c;
967       PetscBool       pos = PETSC_TRUE;
968 
969       ierr = DMPlexGetConeSize(dm, support[s], &coneSize);CHKERRQ(ierr);
970       ierr = DMPlexGetCone(dm, support[s], &cone);CHKERRQ(ierr);
971       ierr = DMPlexGetConeOrientation(dm, support[s], &ornt);CHKERRQ(ierr);
972       for (c = 0; c < coneSize; ++c) {
973         if (cone[c] == points[p]) {
974           if (ornt[c] >= 0) {
975             ierr = DMLabelSetValue(label, support[s],   shift+dim);CHKERRQ(ierr);
976           } else {
977             ierr = DMLabelSetValue(label, support[s], -(shift+dim));CHKERRQ(ierr);
978             pos  = PETSC_FALSE;
979           }
980           break;
981         }
982       }
983       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]);
984       /* Put faces touching the fault in the label */
985       for (c = 0; c < coneSize; ++c) {
986         const PetscInt point = cone[c];
987 
988         ierr = DMLabelGetValue(label, point, &val);CHKERRQ(ierr);
989         if (val == -1) {
990           PetscInt *closure = NULL;
991           PetscInt  closureSize, cl;
992 
993           ierr = DMPlexGetTransitiveClosure(dm, point, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
994           for (cl = 0; cl < closureSize*2; cl += 2) {
995             const PetscInt clp = closure[cl];
996 
997             ierr = DMLabelGetValue(label, clp, &val);CHKERRQ(ierr);
998             if ((val >= 0) && (val < dim-1)) {
999               ierr = DMLabelSetValue(label, point, pos == PETSC_TRUE ? shift+dim-1 : -(shift+dim-1));CHKERRQ(ierr);
1000               break;
1001             }
1002           }
1003           ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
1004         }
1005       }
1006     }
1007   }
1008   ierr = ISRestoreIndices(dimIS, &points);CHKERRQ(ierr);
1009   ierr = ISDestroy(&dimIS);CHKERRQ(ierr);
1010   /* Search for other cells/faces/edges connected to the fault by a vertex */
1011   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
1012   ierr = DMLabelGetStratumIS(label, 0, &dimIS);CHKERRQ(ierr);
1013   if (!dimIS) PetscFunctionReturn(0);
1014   ierr = ISGetLocalSize(dimIS, &numPoints);CHKERRQ(ierr);
1015   ierr = ISGetIndices(dimIS, &points);CHKERRQ(ierr);
1016   for (p = 0; p < numPoints; ++p) {
1017     PetscInt *star = NULL;
1018     PetscInt  starSize, s;
1019     PetscInt  again = 1;  /* 0: Finished 1: Keep iterating after a change 2: No change */
1020 
1021     /* First mark cells connected to the fault */
1022     ierr = DMPlexGetTransitiveClosure(dm, points[p], PETSC_FALSE, &starSize, &star);CHKERRQ(ierr);
1023     while (again) {
1024       if (again > 1) SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Could not classify all cells connected to the fault");
1025       again = 0;
1026       for (s = 0; s < starSize*2; s += 2) {
1027         const PetscInt  point = star[s];
1028         const PetscInt *cone;
1029         PetscInt        coneSize, c;
1030 
1031         if ((point < cStart) || (point >= cEnd)) continue;
1032         ierr = DMLabelGetValue(label, point, &val);CHKERRQ(ierr);
1033         if (val != -1) continue;
1034         again = 2;
1035         ierr  = DMPlexGetConeSize(dm, point, &coneSize);CHKERRQ(ierr);
1036         ierr  = DMPlexGetCone(dm, point, &cone);CHKERRQ(ierr);
1037         for (c = 0; c < coneSize; ++c) {
1038           ierr = DMLabelGetValue(label, cone[c], &val);CHKERRQ(ierr);
1039           if (val != -1) {
1040             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);
1041             if (val > 0) {
1042               ierr = DMLabelSetValue(label, point,   shift+dim);CHKERRQ(ierr);
1043             } else {
1044               ierr = DMLabelSetValue(label, point, -(shift+dim));CHKERRQ(ierr);
1045             }
1046             again = 1;
1047             break;
1048           }
1049         }
1050       }
1051     }
1052     /* Classify the rest by cell membership */
1053     for (s = 0; s < starSize*2; s += 2) {
1054       const PetscInt point = star[s];
1055 
1056       ierr = DMLabelGetValue(label, point, &val);CHKERRQ(ierr);
1057       if (val == -1) {
1058         PetscInt  *sstar = NULL;
1059         PetscInt   sstarSize, ss;
1060         PetscBool  marked = PETSC_FALSE;
1061 
1062         ierr = DMPlexGetTransitiveClosure(dm, point, PETSC_FALSE, &sstarSize, &sstar);CHKERRQ(ierr);
1063         for (ss = 0; ss < sstarSize*2; ss += 2) {
1064           const PetscInt spoint = sstar[ss];
1065 
1066           if ((spoint < cStart) || (spoint >= cEnd)) continue;
1067           ierr = DMLabelGetValue(label, spoint, &val);CHKERRQ(ierr);
1068           if (val == -1) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Cell %d in star of %d does not have a valid label", spoint, point);
1069           ierr = DMPlexGetLabelValue(dm, "depth", point, &dep);CHKERRQ(ierr);
1070           if (val > 0) {
1071             ierr = DMLabelSetValue(label, point,   shift+dep);CHKERRQ(ierr);
1072           } else {
1073             ierr = DMLabelSetValue(label, point, -(shift+dep));CHKERRQ(ierr);
1074           }
1075           marked = PETSC_TRUE;
1076           break;
1077         }
1078         ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_FALSE, &sstarSize, &sstar);CHKERRQ(ierr);
1079         if (!marked) SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d could not be classified", point);
1080       }
1081     }
1082     ierr = DMPlexRestoreTransitiveClosure(dm, points[p], PETSC_FALSE, &starSize, &star);CHKERRQ(ierr);
1083   }
1084   ierr = ISRestoreIndices(dimIS, &points);CHKERRQ(ierr);
1085   ierr = ISDestroy(&dimIS);CHKERRQ(ierr);
1086   PetscFunctionReturn(0);
1087 }
1088 
1089 #undef __FUNCT__
1090 #define __FUNCT__ "DMPlexMarkSubmesh_Uninterpolated"
1091 /* Here we need the explicit assumption that:
1092 
1093      For any marked cell, the marked vertices constitute a single face
1094 */
1095 static PetscErrorCode DMPlexMarkSubmesh_Uninterpolated(DM dm, DMLabel vertexLabel, PetscInt value, DMLabel subpointMap, PetscInt *numFaces, PetscInt *nFV, DM subdm)
1096 {
1097   IS               subvertexIS;
1098   const PetscInt  *subvertices;
1099   PetscInt        *pStart, *pEnd, *pMax, pSize;
1100   PetscInt         depth, dim, d, numSubVerticesInitial = 0, v;
1101   PetscErrorCode   ierr;
1102 
1103   PetscFunctionBegin;
1104   *numFaces = 0;
1105   *nFV      = 0;
1106   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
1107   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
1108   pSize = PetscMax(depth, dim) + 1;
1109   ierr = PetscMalloc3(pSize,PetscInt,&pStart,pSize,PetscInt,&pEnd,pSize,PetscInt,&pMax);CHKERRQ(ierr);
1110   ierr = DMPlexGetHybridBounds(dm, &pMax[depth], depth>1 ? &pMax[depth-1] : NULL, depth > 2 ? &pMax[1] : NULL, &pMax[0]);CHKERRQ(ierr);
1111   for (d = 0; d <= depth; ++d) {
1112     ierr = DMPlexGetDepthStratum(dm, d, &pStart[d], &pEnd[d]);CHKERRQ(ierr);
1113     if (pMax[d] >= 0) pEnd[d] = PetscMin(pEnd[d], pMax[d]);
1114   }
1115   /* Loop over initial vertices and mark all faces in the collective star() */
1116   ierr = DMLabelGetStratumIS(vertexLabel, value, &subvertexIS);CHKERRQ(ierr);
1117   if (subvertexIS) {
1118     ierr = ISGetSize(subvertexIS, &numSubVerticesInitial);CHKERRQ(ierr);
1119     ierr = ISGetIndices(subvertexIS, &subvertices);CHKERRQ(ierr);
1120   }
1121   for (v = 0; v < numSubVerticesInitial; ++v) {
1122     const PetscInt vertex = subvertices[v];
1123     PetscInt      *star   = NULL;
1124     PetscInt       starSize, s, numCells = 0, c;
1125 
1126     ierr = DMPlexGetTransitiveClosure(dm, vertex, PETSC_FALSE, &starSize, &star);CHKERRQ(ierr);
1127     for (s = 0; s < starSize*2; s += 2) {
1128       const PetscInt point = star[s];
1129       if ((point >= pStart[depth]) && (point < pEnd[depth])) star[numCells++] = point;
1130     }
1131     for (c = 0; c < numCells; ++c) {
1132       const PetscInt cell    = star[c];
1133       PetscInt      *closure = NULL;
1134       PetscInt       closureSize, cl;
1135       PetscInt       cellLoc, numCorners = 0, faceSize = 0;
1136 
1137       ierr = DMLabelGetValue(subpointMap, cell, &cellLoc);CHKERRQ(ierr);
1138       if (cellLoc == 2) continue;
1139       if (cellLoc >= 0) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Cell %d has dimension %d in the surface label", cell, cellLoc);
1140       ierr = DMPlexGetTransitiveClosure(dm, cell, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
1141       for (cl = 0; cl < closureSize*2; cl += 2) {
1142         const PetscInt point = closure[cl];
1143         PetscInt       vertexLoc;
1144 
1145         if ((point >= pStart[0]) && (point < pEnd[0])) {
1146           ++numCorners;
1147           ierr = DMLabelGetValue(vertexLabel, point, &vertexLoc);CHKERRQ(ierr);
1148           if (vertexLoc == value) closure[faceSize++] = point;
1149         }
1150       }
1151       if (!(*nFV)) {ierr = DMPlexGetNumFaceVertices(dm, dim, numCorners, nFV);CHKERRQ(ierr);}
1152       if (faceSize > *nFV) SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Invalid submesh: Too many vertices %d of an element on the surface", faceSize);
1153       if (faceSize == *nFV) {
1154         const PetscInt *cells = NULL;
1155         PetscInt        numCells, nc;
1156 
1157         ++(*numFaces);
1158         for (cl = 0; cl < faceSize; ++cl) {
1159           ierr = DMLabelSetValue(subpointMap, closure[cl], 0);CHKERRQ(ierr);
1160         }
1161         ierr = DMPlexGetJoin(dm, faceSize, closure, &numCells, &cells);CHKERRQ(ierr);
1162         for (nc = 0; nc < numCells; ++nc) {
1163           ierr = DMLabelSetValue(subpointMap, cells[nc], 2);CHKERRQ(ierr);
1164         }
1165         ierr = DMPlexRestoreJoin(dm, faceSize, closure, &numCells, &cells);CHKERRQ(ierr);
1166       }
1167       ierr = DMPlexRestoreTransitiveClosure(dm, cell, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
1168     }
1169     ierr = DMPlexRestoreTransitiveClosure(dm, vertex, PETSC_FALSE, &starSize, &star);CHKERRQ(ierr);
1170   }
1171   if (subvertexIS) {
1172     ierr = ISRestoreIndices(subvertexIS, &subvertices);CHKERRQ(ierr);
1173   }
1174   ierr = ISDestroy(&subvertexIS);CHKERRQ(ierr);
1175   ierr = PetscFree3(pStart,pEnd,pMax);CHKERRQ(ierr);
1176   PetscFunctionReturn(0);
1177 }
1178 
1179 #undef __FUNCT__
1180 #define __FUNCT__ "DMPlexMarkSubmesh_Interpolated"
1181 static PetscErrorCode DMPlexMarkSubmesh_Interpolated(DM dm, DMLabel vertexLabel, PetscInt value, DMLabel subpointMap, DM subdm)
1182 {
1183   IS               subvertexIS;
1184   const PetscInt  *subvertices;
1185   PetscInt        *pStart, *pEnd, *pMax;
1186   PetscInt         dim, d, numSubVerticesInitial = 0, v;
1187   PetscErrorCode   ierr;
1188 
1189   PetscFunctionBegin;
1190   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
1191   ierr = PetscMalloc3(dim+1,PetscInt,&pStart,dim+1,PetscInt,&pEnd,dim+1,PetscInt,&pMax);CHKERRQ(ierr);
1192   ierr = DMPlexGetHybridBounds(dm, &pMax[dim], dim>1 ? &pMax[dim-1] : NULL, dim > 2 ? &pMax[1] : NULL, &pMax[0]);CHKERRQ(ierr);
1193   for (d = 0; d <= dim; ++d) {
1194     ierr = DMPlexGetDepthStratum(dm, d, &pStart[d], &pEnd[d]);CHKERRQ(ierr);
1195     if (pMax[d] >= 0) pEnd[d] = PetscMin(pEnd[d], pMax[d]);
1196   }
1197   /* Loop over initial vertices and mark all faces in the collective star() */
1198   ierr = DMLabelGetStratumIS(vertexLabel, value, &subvertexIS);CHKERRQ(ierr);
1199   if (subvertexIS) {
1200     ierr = ISGetSize(subvertexIS, &numSubVerticesInitial);CHKERRQ(ierr);
1201     ierr = ISGetIndices(subvertexIS, &subvertices);CHKERRQ(ierr);
1202   }
1203   for (v = 0; v < numSubVerticesInitial; ++v) {
1204     const PetscInt vertex = subvertices[v];
1205     PetscInt      *star   = NULL;
1206     PetscInt       starSize, s, numFaces = 0, f;
1207 
1208     ierr = DMPlexGetTransitiveClosure(dm, vertex, PETSC_FALSE, &starSize, &star);CHKERRQ(ierr);
1209     for (s = 0; s < starSize*2; s += 2) {
1210       const PetscInt point = star[s];
1211       if ((point >= pStart[dim-1]) && (point < pEnd[dim-1])) star[numFaces++] = point;
1212     }
1213     for (f = 0; f < numFaces; ++f) {
1214       const PetscInt face    = star[f];
1215       PetscInt      *closure = NULL;
1216       PetscInt       closureSize, c;
1217       PetscInt       faceLoc;
1218 
1219       ierr = DMLabelGetValue(subpointMap, face, &faceLoc);CHKERRQ(ierr);
1220       if (faceLoc == dim-1) continue;
1221       if (faceLoc >= 0) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Face %d has dimension %d in the surface label", face, faceLoc);
1222       ierr = DMPlexGetTransitiveClosure(dm, face, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
1223       for (c = 0; c < closureSize*2; c += 2) {
1224         const PetscInt point = closure[c];
1225         PetscInt       vertexLoc;
1226 
1227         if ((point >= pStart[0]) && (point < pEnd[0])) {
1228           ierr = DMLabelGetValue(vertexLabel, point, &vertexLoc);CHKERRQ(ierr);
1229           if (vertexLoc != value) break;
1230         }
1231       }
1232       if (c == closureSize*2) {
1233         const PetscInt *support;
1234         PetscInt        supportSize, s;
1235 
1236         for (c = 0; c < closureSize*2; c += 2) {
1237           const PetscInt point = closure[c];
1238 
1239           for (d = 0; d < dim; ++d) {
1240             if ((point >= pStart[d]) && (point < pEnd[d])) {
1241               ierr = DMLabelSetValue(subpointMap, point, d);CHKERRQ(ierr);
1242               break;
1243             }
1244           }
1245         }
1246         ierr = DMPlexGetSupportSize(dm, face, &supportSize);CHKERRQ(ierr);
1247         ierr = DMPlexGetSupport(dm, face, &support);CHKERRQ(ierr);
1248         for (s = 0; s < supportSize; ++s) {
1249           ierr = DMLabelSetValue(subpointMap, support[s], dim);CHKERRQ(ierr);
1250         }
1251       }
1252       ierr = DMPlexRestoreTransitiveClosure(dm, face, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
1253     }
1254     ierr = DMPlexRestoreTransitiveClosure(dm, vertex, PETSC_FALSE, &starSize, &star);CHKERRQ(ierr);
1255   }
1256   if (subvertexIS) {
1257     ierr = ISRestoreIndices(subvertexIS, &subvertices);CHKERRQ(ierr);
1258   }
1259   ierr = ISDestroy(&subvertexIS);CHKERRQ(ierr);
1260   ierr = PetscFree3(pStart,pEnd,pMax);CHKERRQ(ierr);
1261   PetscFunctionReturn(0);
1262 }
1263 
1264 #undef __FUNCT__
1265 #define __FUNCT__ "DMPlexMarkCohesiveSubmesh_Uninterpolated"
1266 static PetscErrorCode DMPlexMarkCohesiveSubmesh_Uninterpolated(DM dm, PetscBool hasLagrange, DMLabel subpointMap, PetscInt *numFaces, PetscInt *nFV, PetscInt *subCells[], DM subdm)
1267 {
1268   const PetscInt *cone;
1269   PetscInt        dim, cMax, cEnd, c, p, coneSize;
1270   PetscErrorCode  ierr;
1271 
1272   PetscFunctionBegin;
1273   *numFaces = 0;
1274   *nFV = 0;
1275   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
1276   ierr = DMPlexGetHeightStratum(dm, 0, NULL, &cEnd);CHKERRQ(ierr);
1277   ierr = DMPlexGetHybridBounds(dm, &cMax, NULL, NULL, NULL);CHKERRQ(ierr);
1278   if (cMax < 0) PetscFunctionReturn(0);
1279   ierr = DMPlexGetConeSize(dm, cMax, &coneSize);CHKERRQ(ierr);
1280   *numFaces = cEnd - cMax;
1281   *nFV      = hasLagrange ? coneSize/3 : coneSize/2;
1282   ierr = PetscMalloc(*numFaces *2 * sizeof(PetscInt), subCells);CHKERRQ(ierr);
1283   for (c = cMax; c < cEnd; ++c) {
1284     const PetscInt *cells;
1285     PetscInt        numCells;
1286 
1287     ierr = DMPlexGetCone(dm, c, &cone);CHKERRQ(ierr);
1288     for (p = 0; p < *nFV; ++p) {
1289       ierr = DMLabelSetValue(subpointMap, cone[p], 0);CHKERRQ(ierr);
1290     }
1291     /* Negative face */
1292     ierr = DMPlexGetJoin(dm, *nFV, cone, &numCells, &cells);CHKERRQ(ierr);
1293     if (numCells != 2) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cohesive cells should separate two cells");
1294     for (p = 0; p < numCells; ++p) {
1295       ierr = DMLabelSetValue(subpointMap, cells[p], 2);CHKERRQ(ierr);
1296       (*subCells)[(c-cMax)*2+p] = cells[p];
1297     }
1298     ierr = DMPlexRestoreJoin(dm, *nFV, cone, &numCells, &cells);CHKERRQ(ierr);
1299     /* Positive face is not included */
1300   }
1301   PetscFunctionReturn(0);
1302 }
1303 
1304 #undef __FUNCT__
1305 #define __FUNCT__ "DMPlexMarkCohesiveSubmesh_Interpolated"
1306 static PetscErrorCode DMPlexMarkCohesiveSubmesh_Interpolated(DM dm, PetscBool hasLagrange, DMLabel subpointMap, DM subdm)
1307 {
1308   PetscInt      *pStart, *pEnd;
1309   PetscInt       dim, cMax, cEnd, c, d;
1310   PetscErrorCode ierr;
1311 
1312   PetscFunctionBegin;
1313   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
1314   ierr = DMPlexGetHeightStratum(dm, 0, NULL, &cEnd);CHKERRQ(ierr);
1315   ierr = DMPlexGetHybridBounds(dm, &cMax, NULL, NULL, NULL);CHKERRQ(ierr);
1316   if (cMax < 0) PetscFunctionReturn(0);
1317   ierr = PetscMalloc2(dim+1,PetscInt,&pStart,dim+1,PetscInt,&pEnd);CHKERRQ(ierr);
1318   for (d = 0; d <= dim; ++d) {
1319     ierr = DMPlexGetDepthStratum(dm, d, &pStart[d], &pEnd[d]);CHKERRQ(ierr);
1320   }
1321   for (c = cMax; c < cEnd; ++c) {
1322     const PetscInt *cone;
1323     PetscInt       *closure = NULL;
1324     PetscInt        coneSize, closureSize, cl;
1325 
1326     ierr = DMPlexGetConeSize(dm, c, &coneSize);CHKERRQ(ierr);
1327     if (hasLagrange) {
1328       if (coneSize != 3) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cohesive cells should separate two cells");
1329     } else {
1330       if (coneSize != 2) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cohesive cells should separate two cells");
1331     }
1332     /* Negative face */
1333     ierr = DMPlexGetCone(dm, c, &cone);CHKERRQ(ierr);
1334     ierr = DMPlexGetTransitiveClosure(dm, cone[0], PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
1335     for (cl = 0; cl < closureSize*2; cl += 2) {
1336       const PetscInt point = closure[cl];
1337 
1338       for (d = 0; d <= dim; ++d) {
1339         if ((point >= pStart[d]) && (point < pEnd[d])) {
1340           ierr = DMLabelSetValue(subpointMap, point, d);CHKERRQ(ierr);
1341           break;
1342         }
1343       }
1344     }
1345     ierr = DMPlexRestoreTransitiveClosure(dm, cone[0], PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
1346     /* Cells -- positive face is not included */
1347     for (cl = 0; cl < 1; ++cl) {
1348       const PetscInt *support;
1349       PetscInt        supportSize, s;
1350 
1351       ierr = DMPlexGetSupportSize(dm, cone[cl], &supportSize);CHKERRQ(ierr);
1352       if (supportSize != 2) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cohesive faces should separate two cells");
1353       ierr = DMPlexGetSupport(dm, cone[cl], &support);CHKERRQ(ierr);
1354       for (s = 0; s < supportSize; ++s) {
1355         ierr = DMLabelSetValue(subpointMap, support[s], dim);CHKERRQ(ierr);
1356       }
1357     }
1358   }
1359   ierr = PetscFree2(pStart, pEnd);CHKERRQ(ierr);
1360   PetscFunctionReturn(0);
1361 }
1362 
1363 #undef __FUNCT__
1364 #define __FUNCT__ "DMPlexGetFaceOrientation"
1365 PetscErrorCode DMPlexGetFaceOrientation(DM dm, PetscInt cell, PetscInt numCorners, PetscInt indices[], PetscInt oppositeVertex, PetscInt origVertices[], PetscInt faceVertices[], PetscBool *posOriented)
1366 {
1367   MPI_Comm       comm;
1368   PetscBool      posOrient = PETSC_FALSE;
1369   const PetscInt debug     = 0;
1370   PetscInt       cellDim, faceSize, f;
1371   PetscErrorCode ierr;
1372 
1373   PetscFunctionBegin;
1374   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
1375   ierr = DMPlexGetDimension(dm, &cellDim);CHKERRQ(ierr);
1376   if (debug) {PetscPrintf(comm, "cellDim: %d numCorners: %d\n", cellDim, numCorners);CHKERRQ(ierr);}
1377 
1378   if (cellDim == numCorners-1) {
1379     /* Simplices */
1380     faceSize  = numCorners-1;
1381     posOrient = !(oppositeVertex%2) ? PETSC_TRUE : PETSC_FALSE;
1382   } else if (cellDim == 1 && numCorners == 3) {
1383     /* Quadratic line */
1384     faceSize  = 1;
1385     posOrient = PETSC_TRUE;
1386   } else if (cellDim == 2 && numCorners == 4) {
1387     /* Quads */
1388     faceSize = 2;
1389     if ((indices[1] > indices[0]) && (indices[1] - indices[0] == 1)) {
1390       posOrient = PETSC_TRUE;
1391     } else if ((indices[0] == 3) && (indices[1] == 0)) {
1392       posOrient = PETSC_TRUE;
1393     } else {
1394       if (((indices[0] > indices[1]) && (indices[0] - indices[1] == 1)) || ((indices[0] == 0) && (indices[1] == 3))) {
1395         posOrient = PETSC_FALSE;
1396       } else SETERRQ(comm, PETSC_ERR_ARG_WRONG, "Invalid quad crossedge");
1397     }
1398   } else if (cellDim == 2 && numCorners == 6) {
1399     /* Quadratic triangle (I hate this) */
1400     /* Edges are determined by the first 2 vertices (corners of edges) */
1401     const PetscInt faceSizeTri = 3;
1402     PetscInt       sortedIndices[3], i, iFace;
1403     PetscBool      found                    = PETSC_FALSE;
1404     PetscInt       faceVerticesTriSorted[9] = {
1405       0, 3,  4, /* bottom */
1406       1, 4,  5, /* right */
1407       2, 3,  5, /* left */
1408     };
1409     PetscInt       faceVerticesTri[9] = {
1410       0, 3,  4, /* bottom */
1411       1, 4,  5, /* right */
1412       2, 5,  3, /* left */
1413     };
1414 
1415     faceSize = faceSizeTri;
1416     for (i = 0; i < faceSizeTri; ++i) sortedIndices[i] = indices[i];
1417     ierr = PetscSortInt(faceSizeTri, sortedIndices);CHKERRQ(ierr);
1418     for (iFace = 0; iFace < 3; ++iFace) {
1419       const PetscInt ii = iFace*faceSizeTri;
1420       PetscInt       fVertex, cVertex;
1421 
1422       if ((sortedIndices[0] == faceVerticesTriSorted[ii+0]) &&
1423           (sortedIndices[1] == faceVerticesTriSorted[ii+1])) {
1424         for (fVertex = 0; fVertex < faceSizeTri; ++fVertex) {
1425           for (cVertex = 0; cVertex < faceSizeTri; ++cVertex) {
1426             if (indices[cVertex] == faceVerticesTri[ii+fVertex]) {
1427               faceVertices[fVertex] = origVertices[cVertex];
1428               break;
1429             }
1430           }
1431         }
1432         found = PETSC_TRUE;
1433         break;
1434       }
1435     }
1436     if (!found) SETERRQ(comm, PETSC_ERR_ARG_WRONG, "Invalid tri crossface");
1437     if (posOriented) *posOriented = PETSC_TRUE;
1438     PetscFunctionReturn(0);
1439   } else if (cellDim == 2 && numCorners == 9) {
1440     /* Quadratic quad (I hate this) */
1441     /* Edges are determined by the first 2 vertices (corners of edges) */
1442     const PetscInt faceSizeQuad = 3;
1443     PetscInt       sortedIndices[3], i, iFace;
1444     PetscBool      found                      = PETSC_FALSE;
1445     PetscInt       faceVerticesQuadSorted[12] = {
1446       0, 1,  4, /* bottom */
1447       1, 2,  5, /* right */
1448       2, 3,  6, /* top */
1449       0, 3,  7, /* left */
1450     };
1451     PetscInt       faceVerticesQuad[12] = {
1452       0, 1,  4, /* bottom */
1453       1, 2,  5, /* right */
1454       2, 3,  6, /* top */
1455       3, 0,  7, /* left */
1456     };
1457 
1458     faceSize = faceSizeQuad;
1459     for (i = 0; i < faceSizeQuad; ++i) sortedIndices[i] = indices[i];
1460     ierr = PetscSortInt(faceSizeQuad, sortedIndices);CHKERRQ(ierr);
1461     for (iFace = 0; iFace < 4; ++iFace) {
1462       const PetscInt ii = iFace*faceSizeQuad;
1463       PetscInt       fVertex, cVertex;
1464 
1465       if ((sortedIndices[0] == faceVerticesQuadSorted[ii+0]) &&
1466           (sortedIndices[1] == faceVerticesQuadSorted[ii+1])) {
1467         for (fVertex = 0; fVertex < faceSizeQuad; ++fVertex) {
1468           for (cVertex = 0; cVertex < faceSizeQuad; ++cVertex) {
1469             if (indices[cVertex] == faceVerticesQuad[ii+fVertex]) {
1470               faceVertices[fVertex] = origVertices[cVertex];
1471               break;
1472             }
1473           }
1474         }
1475         found = PETSC_TRUE;
1476         break;
1477       }
1478     }
1479     if (!found) SETERRQ(comm, PETSC_ERR_ARG_WRONG, "Invalid quad crossface");
1480     if (posOriented) *posOriented = PETSC_TRUE;
1481     PetscFunctionReturn(0);
1482   } else if (cellDim == 3 && numCorners == 8) {
1483     /* Hexes
1484        A hex is two oriented quads with the normal of the first
1485        pointing up at the second.
1486 
1487           7---6
1488          /|  /|
1489         4---5 |
1490         | 3-|-2
1491         |/  |/
1492         0---1
1493 
1494         Faces are determined by the first 4 vertices (corners of faces) */
1495     const PetscInt faceSizeHex = 4;
1496     PetscInt       sortedIndices[4], i, iFace;
1497     PetscBool      found                     = PETSC_FALSE;
1498     PetscInt       faceVerticesHexSorted[24] = {
1499       0, 1, 2, 3,  /* bottom */
1500       4, 5, 6, 7,  /* top */
1501       0, 1, 4, 5,  /* front */
1502       1, 2, 5, 6,  /* right */
1503       2, 3, 6, 7,  /* back */
1504       0, 3, 4, 7,  /* left */
1505     };
1506     PetscInt       faceVerticesHex[24] = {
1507       3, 2, 1, 0,  /* bottom */
1508       4, 5, 6, 7,  /* top */
1509       0, 1, 5, 4,  /* front */
1510       1, 2, 6, 5,  /* right */
1511       2, 3, 7, 6,  /* back */
1512       3, 0, 4, 7,  /* left */
1513     };
1514 
1515     faceSize = faceSizeHex;
1516     for (i = 0; i < faceSizeHex; ++i) sortedIndices[i] = indices[i];
1517     ierr = PetscSortInt(faceSizeHex, sortedIndices);CHKERRQ(ierr);
1518     for (iFace = 0; iFace < 6; ++iFace) {
1519       const PetscInt ii = iFace*faceSizeHex;
1520       PetscInt       fVertex, cVertex;
1521 
1522       if ((sortedIndices[0] == faceVerticesHexSorted[ii+0]) &&
1523           (sortedIndices[1] == faceVerticesHexSorted[ii+1]) &&
1524           (sortedIndices[2] == faceVerticesHexSorted[ii+2]) &&
1525           (sortedIndices[3] == faceVerticesHexSorted[ii+3])) {
1526         for (fVertex = 0; fVertex < faceSizeHex; ++fVertex) {
1527           for (cVertex = 0; cVertex < faceSizeHex; ++cVertex) {
1528             if (indices[cVertex] == faceVerticesHex[ii+fVertex]) {
1529               faceVertices[fVertex] = origVertices[cVertex];
1530               break;
1531             }
1532           }
1533         }
1534         found = PETSC_TRUE;
1535         break;
1536       }
1537     }
1538     if (!found) SETERRQ(comm, PETSC_ERR_ARG_WRONG, "Invalid hex crossface");
1539     if (posOriented) *posOriented = PETSC_TRUE;
1540     PetscFunctionReturn(0);
1541   } else if (cellDim == 3 && numCorners == 10) {
1542     /* Quadratic tet */
1543     /* Faces are determined by the first 3 vertices (corners of faces) */
1544     const PetscInt faceSizeTet = 6;
1545     PetscInt       sortedIndices[6], i, iFace;
1546     PetscBool      found                     = PETSC_FALSE;
1547     PetscInt       faceVerticesTetSorted[24] = {
1548       0, 1, 2,  6, 7, 8, /* bottom */
1549       0, 3, 4,  6, 7, 9,  /* front */
1550       1, 4, 5,  7, 8, 9,  /* right */
1551       2, 3, 5,  6, 8, 9,  /* left */
1552     };
1553     PetscInt       faceVerticesTet[24] = {
1554       0, 1, 2,  6, 7, 8, /* bottom */
1555       0, 4, 3,  6, 7, 9,  /* front */
1556       1, 5, 4,  7, 8, 9,  /* right */
1557       2, 3, 5,  8, 6, 9,  /* left */
1558     };
1559 
1560     faceSize = faceSizeTet;
1561     for (i = 0; i < faceSizeTet; ++i) sortedIndices[i] = indices[i];
1562     ierr = PetscSortInt(faceSizeTet, sortedIndices);CHKERRQ(ierr);
1563     for (iFace=0; iFace < 4; ++iFace) {
1564       const PetscInt ii = iFace*faceSizeTet;
1565       PetscInt       fVertex, cVertex;
1566 
1567       if ((sortedIndices[0] == faceVerticesTetSorted[ii+0]) &&
1568           (sortedIndices[1] == faceVerticesTetSorted[ii+1]) &&
1569           (sortedIndices[2] == faceVerticesTetSorted[ii+2]) &&
1570           (sortedIndices[3] == faceVerticesTetSorted[ii+3])) {
1571         for (fVertex = 0; fVertex < faceSizeTet; ++fVertex) {
1572           for (cVertex = 0; cVertex < faceSizeTet; ++cVertex) {
1573             if (indices[cVertex] == faceVerticesTet[ii+fVertex]) {
1574               faceVertices[fVertex] = origVertices[cVertex];
1575               break;
1576             }
1577           }
1578         }
1579         found = PETSC_TRUE;
1580         break;
1581       }
1582     }
1583     if (!found) SETERRQ(comm, PETSC_ERR_ARG_WRONG, "Invalid tet crossface");
1584     if (posOriented) *posOriented = PETSC_TRUE;
1585     PetscFunctionReturn(0);
1586   } else if (cellDim == 3 && numCorners == 27) {
1587     /* Quadratic hexes (I hate this)
1588        A hex is two oriented quads with the normal of the first
1589        pointing up at the second.
1590 
1591          7---6
1592         /|  /|
1593        4---5 |
1594        | 3-|-2
1595        |/  |/
1596        0---1
1597 
1598        Faces are determined by the first 4 vertices (corners of faces) */
1599     const PetscInt faceSizeQuadHex = 9;
1600     PetscInt       sortedIndices[9], i, iFace;
1601     PetscBool      found                         = PETSC_FALSE;
1602     PetscInt       faceVerticesQuadHexSorted[54] = {
1603       0, 1, 2, 3,  8, 9, 10, 11,  24, /* bottom */
1604       4, 5, 6, 7,  12, 13, 14, 15,  25, /* top */
1605       0, 1, 4, 5,  8, 12, 16, 17,  22, /* front */
1606       1, 2, 5, 6,  9, 13, 17, 18,  21, /* right */
1607       2, 3, 6, 7,  10, 14, 18, 19,  23, /* back */
1608       0, 3, 4, 7,  11, 15, 16, 19,  20, /* left */
1609     };
1610     PetscInt       faceVerticesQuadHex[54] = {
1611       3, 2, 1, 0,  10, 9, 8, 11,  24, /* bottom */
1612       4, 5, 6, 7,  12, 13, 14, 15,  25, /* top */
1613       0, 1, 5, 4,  8, 17, 12, 16,  22, /* front */
1614       1, 2, 6, 5,  9, 18, 13, 17,  21, /* right */
1615       2, 3, 7, 6,  10, 19, 14, 18,  23, /* back */
1616       3, 0, 4, 7,  11, 16, 15, 19,  20 /* left */
1617     };
1618 
1619     faceSize = faceSizeQuadHex;
1620     for (i = 0; i < faceSizeQuadHex; ++i) sortedIndices[i] = indices[i];
1621     ierr = PetscSortInt(faceSizeQuadHex, sortedIndices);CHKERRQ(ierr);
1622     for (iFace = 0; iFace < 6; ++iFace) {
1623       const PetscInt ii = iFace*faceSizeQuadHex;
1624       PetscInt       fVertex, cVertex;
1625 
1626       if ((sortedIndices[0] == faceVerticesQuadHexSorted[ii+0]) &&
1627           (sortedIndices[1] == faceVerticesQuadHexSorted[ii+1]) &&
1628           (sortedIndices[2] == faceVerticesQuadHexSorted[ii+2]) &&
1629           (sortedIndices[3] == faceVerticesQuadHexSorted[ii+3])) {
1630         for (fVertex = 0; fVertex < faceSizeQuadHex; ++fVertex) {
1631           for (cVertex = 0; cVertex < faceSizeQuadHex; ++cVertex) {
1632             if (indices[cVertex] == faceVerticesQuadHex[ii+fVertex]) {
1633               faceVertices[fVertex] = origVertices[cVertex];
1634               break;
1635             }
1636           }
1637         }
1638         found = PETSC_TRUE;
1639         break;
1640       }
1641     }
1642     if (!found) SETERRQ(comm, PETSC_ERR_ARG_WRONG, "Invalid hex crossface");
1643     if (posOriented) *posOriented = PETSC_TRUE;
1644     PetscFunctionReturn(0);
1645   } else SETERRQ(comm, PETSC_ERR_ARG_WRONG, "Unknown cell type for faceOrientation().");
1646   if (!posOrient) {
1647     if (debug) {ierr = PetscPrintf(comm, "  Reversing initial face orientation\n");CHKERRQ(ierr);}
1648     for (f = 0; f < faceSize; ++f) faceVertices[f] = origVertices[faceSize-1 - f];
1649   } else {
1650     if (debug) {ierr = PetscPrintf(comm, "  Keeping initial face orientation\n");CHKERRQ(ierr);}
1651     for (f = 0; f < faceSize; ++f) faceVertices[f] = origVertices[f];
1652   }
1653   if (posOriented) *posOriented = posOrient;
1654   PetscFunctionReturn(0);
1655 }
1656 
1657 #undef __FUNCT__
1658 #define __FUNCT__ "DMPlexGetOrientedFace"
1659 /*
1660     Given a cell and a face, as a set of vertices,
1661       return the oriented face, as a set of vertices, in faceVertices
1662     The orientation is such that the face normal points out of the cell
1663 */
1664 PetscErrorCode DMPlexGetOrientedFace(DM dm, PetscInt cell, PetscInt faceSize, const PetscInt face[], PetscInt numCorners, PetscInt indices[], PetscInt origVertices[], PetscInt faceVertices[], PetscBool *posOriented)
1665 {
1666   const PetscInt *cone = NULL;
1667   PetscInt        coneSize, v, f, v2;
1668   PetscInt        oppositeVertex = -1;
1669   PetscErrorCode  ierr;
1670 
1671   PetscFunctionBegin;
1672   ierr = DMPlexGetConeSize(dm, cell, &coneSize);CHKERRQ(ierr);
1673   ierr = DMPlexGetCone(dm, cell, &cone);CHKERRQ(ierr);
1674   for (v = 0, v2 = 0; v < coneSize; ++v) {
1675     PetscBool found = PETSC_FALSE;
1676 
1677     for (f = 0; f < faceSize; ++f) {
1678       if (face[f] == cone[v]) {
1679         found = PETSC_TRUE; break;
1680       }
1681     }
1682     if (found) {
1683       indices[v2]      = v;
1684       origVertices[v2] = cone[v];
1685       ++v2;
1686     } else {
1687       oppositeVertex = v;
1688     }
1689   }
1690   ierr = DMPlexGetFaceOrientation(dm, cell, numCorners, indices, oppositeVertex, origVertices, faceVertices, posOriented);CHKERRQ(ierr);
1691   PetscFunctionReturn(0);
1692 }
1693 
1694 #undef __FUNCT__
1695 #define __FUNCT__ "DMPlexInsertFace_Internal"
1696 /*
1697   DMPlexInsertFace_Internal - Puts a face into the mesh
1698 
1699   Not collective
1700 
1701   Input Parameters:
1702   + dm              - The DMPlex
1703   . numFaceVertex   - The number of vertices in the face
1704   . faceVertices    - The vertices in the face for dm
1705   . subfaceVertices - The vertices in the face for subdm
1706   . numCorners      - The number of vertices in the cell
1707   . cell            - A cell in dm containing the face
1708   . subcell         - A cell in subdm containing the face
1709   . firstFace       - First face in the mesh
1710   - newFacePoint    - Next face in the mesh
1711 
1712   Output Parameters:
1713   . newFacePoint - Contains next face point number on input, updated on output
1714 
1715   Level: developer
1716 */
1717 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)
1718 {
1719   MPI_Comm        comm;
1720   DM_Plex        *submesh = (DM_Plex*) subdm->data;
1721   const PetscInt *faces;
1722   PetscInt        numFaces, coneSize;
1723   PetscErrorCode  ierr;
1724 
1725   PetscFunctionBegin;
1726   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
1727   ierr = DMPlexGetConeSize(subdm, subcell, &coneSize);CHKERRQ(ierr);
1728   if (coneSize != 1) SETERRQ2(comm, PETSC_ERR_ARG_OUTOFRANGE, "Cone size of cell %d is %d != 1", cell, coneSize);
1729 #if 0
1730   /* Cannot use this because support() has not been constructed yet */
1731   ierr = DMPlexGetJoin(subdm, numFaceVertices, subfaceVertices, &numFaces, &faces);CHKERRQ(ierr);
1732 #else
1733   {
1734     PetscInt f;
1735 
1736     numFaces = 0;
1737     ierr     = DMGetWorkArray(subdm, 1, PETSC_INT, (void **) &faces);CHKERRQ(ierr);
1738     for (f = firstFace; f < *newFacePoint; ++f) {
1739       PetscInt dof, off, d;
1740 
1741       ierr = PetscSectionGetDof(submesh->coneSection, f, &dof);CHKERRQ(ierr);
1742       ierr = PetscSectionGetOffset(submesh->coneSection, f, &off);CHKERRQ(ierr);
1743       /* Yes, I know this is quadratic, but I expect the sizes to be <5 */
1744       for (d = 0; d < dof; ++d) {
1745         const PetscInt p = submesh->cones[off+d];
1746         PetscInt       v;
1747 
1748         for (v = 0; v < numFaceVertices; ++v) {
1749           if (subfaceVertices[v] == p) break;
1750         }
1751         if (v == numFaceVertices) break;
1752       }
1753       if (d == dof) {
1754         numFaces               = 1;
1755         ((PetscInt*) faces)[0] = f;
1756       }
1757     }
1758   }
1759 #endif
1760   if (numFaces > 1) SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Vertex set had %d faces, not one", numFaces);
1761   else if (numFaces == 1) {
1762     /* Add the other cell neighbor for this face */
1763     ierr = DMPlexSetCone(subdm, subcell, faces);CHKERRQ(ierr);
1764   } else {
1765     PetscInt *indices, *origVertices, *orientedVertices, *orientedSubVertices, v, ov;
1766     PetscBool posOriented;
1767 
1768     ierr                = DMGetWorkArray(subdm, 4*numFaceVertices * sizeof(PetscInt), PETSC_INT, &orientedVertices);CHKERRQ(ierr);
1769     origVertices        = &orientedVertices[numFaceVertices];
1770     indices             = &orientedVertices[numFaceVertices*2];
1771     orientedSubVertices = &orientedVertices[numFaceVertices*3];
1772     ierr                = DMPlexGetOrientedFace(dm, cell, numFaceVertices, faceVertices, numCorners, indices, origVertices, orientedVertices, &posOriented);CHKERRQ(ierr);
1773     /* TODO: I know that routine should return a permutation, not the indices */
1774     for (v = 0; v < numFaceVertices; ++v) {
1775       const PetscInt vertex = faceVertices[v], subvertex = subfaceVertices[v];
1776       for (ov = 0; ov < numFaceVertices; ++ov) {
1777         if (orientedVertices[ov] == vertex) {
1778           orientedSubVertices[ov] = subvertex;
1779           break;
1780         }
1781       }
1782       if (ov == numFaceVertices) SETERRQ1(comm, PETSC_ERR_PLIB, "Could not find face vertex %d in orientated set", vertex);
1783     }
1784     ierr = DMPlexSetCone(subdm, *newFacePoint, orientedSubVertices);CHKERRQ(ierr);
1785     ierr = DMPlexSetCone(subdm, subcell, newFacePoint);CHKERRQ(ierr);
1786     ierr = DMRestoreWorkArray(subdm, 4*numFaceVertices * sizeof(PetscInt), PETSC_INT, &orientedVertices);CHKERRQ(ierr);
1787     ++(*newFacePoint);
1788   }
1789 #if 0
1790   ierr = DMPlexRestoreJoin(subdm, numFaceVertices, subfaceVertices, &numFaces, &faces);CHKERRQ(ierr);
1791 #else
1792   ierr = DMRestoreWorkArray(subdm, 1, PETSC_INT, (void **) &faces);CHKERRQ(ierr);
1793 #endif
1794   PetscFunctionReturn(0);
1795 }
1796 
1797 #undef __FUNCT__
1798 #define __FUNCT__ "DMPlexCreateSubmesh_Uninterpolated"
1799 static PetscErrorCode DMPlexCreateSubmesh_Uninterpolated(DM dm, const char vertexLabelName[], PetscInt value, DM subdm)
1800 {
1801   MPI_Comm        comm;
1802   DMLabel         vertexLabel, subpointMap;
1803   IS              subvertexIS,  subcellIS;
1804   const PetscInt *subVertices, *subCells;
1805   PetscInt        numSubVertices, firstSubVertex, numSubCells;
1806   PetscInt       *subface, maxConeSize, numSubFaces, firstSubFace, newFacePoint, nFV;
1807   PetscInt        vStart, vEnd, c, f;
1808   PetscErrorCode  ierr;
1809 
1810   PetscFunctionBegin;
1811   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
1812   /* Create subpointMap which marks the submesh */
1813   ierr = DMLabelCreate("subpoint_map", &subpointMap);CHKERRQ(ierr);
1814   ierr = DMPlexSetSubpointMap(subdm, subpointMap);CHKERRQ(ierr);
1815   ierr = DMLabelDestroy(&subpointMap);CHKERRQ(ierr);
1816   ierr = DMPlexGetLabel(dm, vertexLabelName, &vertexLabel);CHKERRQ(ierr);
1817   ierr = DMPlexMarkSubmesh_Uninterpolated(dm, vertexLabel, value, subpointMap, &numSubFaces, &nFV, subdm);CHKERRQ(ierr);
1818   /* Setup chart */
1819   ierr = DMLabelGetStratumSize(subpointMap, 0, &numSubVertices);CHKERRQ(ierr);
1820   ierr = DMLabelGetStratumSize(subpointMap, 2, &numSubCells);CHKERRQ(ierr);
1821   ierr = DMPlexSetChart(subdm, 0, numSubCells+numSubFaces+numSubVertices);CHKERRQ(ierr);
1822   ierr = DMPlexSetVTKCellHeight(subdm, 1);CHKERRQ(ierr);
1823   /* Set cone sizes */
1824   firstSubVertex = numSubCells;
1825   firstSubFace   = numSubCells+numSubVertices;
1826   newFacePoint   = firstSubFace;
1827   ierr = DMLabelGetStratumIS(subpointMap, 0, &subvertexIS);CHKERRQ(ierr);
1828   if (subvertexIS) {ierr = ISGetIndices(subvertexIS, &subVertices);CHKERRQ(ierr);}
1829   ierr = DMLabelGetStratumIS(subpointMap, 2, &subcellIS);CHKERRQ(ierr);
1830   if (subcellIS) {ierr = ISGetIndices(subcellIS, &subCells);CHKERRQ(ierr);}
1831   for (c = 0; c < numSubCells; ++c) {
1832     ierr = DMPlexSetConeSize(subdm, c, 1);CHKERRQ(ierr);
1833   }
1834   for (f = firstSubFace; f < firstSubFace+numSubFaces; ++f) {
1835     ierr = DMPlexSetConeSize(subdm, f, nFV);CHKERRQ(ierr);
1836   }
1837   ierr = DMSetUp(subdm);CHKERRQ(ierr);
1838   /* Create face cones */
1839   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
1840   ierr = DMPlexGetMaxSizes(dm, &maxConeSize, NULL);CHKERRQ(ierr);
1841   ierr = DMGetWorkArray(subdm, maxConeSize, PETSC_INT, (void**) &subface);CHKERRQ(ierr);
1842   for (c = 0; c < numSubCells; ++c) {
1843     const PetscInt cell    = subCells[c];
1844     const PetscInt subcell = c;
1845     PetscInt      *closure = NULL;
1846     PetscInt       closureSize, cl, numCorners = 0, faceSize = 0;
1847 
1848     ierr = DMPlexGetTransitiveClosure(dm, cell, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
1849     for (cl = 0; cl < closureSize*2; cl += 2) {
1850       const PetscInt point = closure[cl];
1851       PetscInt       subVertex;
1852 
1853       if ((point >= vStart) && (point < vEnd)) {
1854         ++numCorners;
1855         ierr = PetscFindInt(point, numSubVertices, subVertices, &subVertex);CHKERRQ(ierr);
1856         if (subVertex >= 0) {
1857           closure[faceSize] = point;
1858           subface[faceSize] = firstSubVertex+subVertex;
1859           ++faceSize;
1860         }
1861       }
1862     }
1863     if (faceSize > nFV) SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Invalid submesh: Too many vertices %d of an element on the surface", faceSize);
1864     if (faceSize == nFV) {
1865       ierr = DMPlexInsertFace_Internal(dm, subdm, faceSize, closure, subface, numCorners, cell, subcell, firstSubFace, &newFacePoint);CHKERRQ(ierr);
1866     }
1867     ierr = DMPlexRestoreTransitiveClosure(dm, cell, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
1868   }
1869   ierr = DMRestoreWorkArray(subdm, maxConeSize, PETSC_INT, (void**) &subface);CHKERRQ(ierr);
1870   ierr = DMPlexSymmetrize(subdm);CHKERRQ(ierr);
1871   ierr = DMPlexStratify(subdm);CHKERRQ(ierr);
1872   /* Build coordinates */
1873   {
1874     PetscSection coordSection, subCoordSection;
1875     Vec          coordinates, subCoordinates;
1876     PetscScalar *coords, *subCoords;
1877     PetscInt     numComp, coordSize, v;
1878 
1879     ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
1880     ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
1881     ierr = DMPlexGetCoordinateSection(subdm, &subCoordSection);CHKERRQ(ierr);
1882     ierr = PetscSectionSetNumFields(subCoordSection, 1);CHKERRQ(ierr);
1883     ierr = PetscSectionGetFieldComponents(coordSection, 0, &numComp);CHKERRQ(ierr);
1884     ierr = PetscSectionSetFieldComponents(subCoordSection, 0, numComp);CHKERRQ(ierr);
1885     ierr = PetscSectionSetChart(subCoordSection, firstSubVertex, firstSubVertex+numSubVertices);CHKERRQ(ierr);
1886     for (v = 0; v < numSubVertices; ++v) {
1887       const PetscInt vertex    = subVertices[v];
1888       const PetscInt subvertex = firstSubVertex+v;
1889       PetscInt       dof;
1890 
1891       ierr = PetscSectionGetDof(coordSection, vertex, &dof);CHKERRQ(ierr);
1892       ierr = PetscSectionSetDof(subCoordSection, subvertex, dof);CHKERRQ(ierr);
1893       ierr = PetscSectionSetFieldDof(subCoordSection, subvertex, 0, dof);CHKERRQ(ierr);
1894     }
1895     ierr = PetscSectionSetUp(subCoordSection);CHKERRQ(ierr);
1896     ierr = PetscSectionGetStorageSize(subCoordSection, &coordSize);CHKERRQ(ierr);
1897     ierr = VecCreate(comm, &subCoordinates);CHKERRQ(ierr);
1898     ierr = VecSetSizes(subCoordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr);
1899     ierr = VecSetFromOptions(subCoordinates);CHKERRQ(ierr);
1900     if (coordSize) {
1901       ierr = VecGetArray(coordinates,    &coords);CHKERRQ(ierr);
1902       ierr = VecGetArray(subCoordinates, &subCoords);CHKERRQ(ierr);
1903       for (v = 0; v < numSubVertices; ++v) {
1904         const PetscInt vertex    = subVertices[v];
1905         const PetscInt subvertex = firstSubVertex+v;
1906         PetscInt       dof, off, sdof, soff, d;
1907 
1908         ierr = PetscSectionGetDof(coordSection, vertex, &dof);CHKERRQ(ierr);
1909         ierr = PetscSectionGetOffset(coordSection, vertex, &off);CHKERRQ(ierr);
1910         ierr = PetscSectionGetDof(subCoordSection, subvertex, &sdof);CHKERRQ(ierr);
1911         ierr = PetscSectionGetOffset(subCoordSection, subvertex, &soff);CHKERRQ(ierr);
1912         if (dof != sdof) SETERRQ4(comm, PETSC_ERR_PLIB, "Coordinate dimension %d on subvertex %d, vertex %d should be %d", sdof, subvertex, vertex, dof);
1913         for (d = 0; d < dof; ++d) subCoords[soff+d] = coords[off+d];
1914       }
1915       ierr = VecRestoreArray(coordinates,    &coords);CHKERRQ(ierr);
1916       ierr = VecRestoreArray(subCoordinates, &subCoords);CHKERRQ(ierr);
1917     }
1918     ierr = DMSetCoordinatesLocal(subdm, subCoordinates);CHKERRQ(ierr);
1919     ierr = VecDestroy(&subCoordinates);CHKERRQ(ierr);
1920   }
1921   /* Cleanup */
1922   if (subvertexIS) {ierr = ISRestoreIndices(subvertexIS, &subVertices);CHKERRQ(ierr);}
1923   ierr = ISDestroy(&subvertexIS);CHKERRQ(ierr);
1924   if (subcellIS) {ierr = ISRestoreIndices(subcellIS, &subCells);CHKERRQ(ierr);}
1925   ierr = ISDestroy(&subcellIS);CHKERRQ(ierr);
1926   PetscFunctionReturn(0);
1927 }
1928 
1929 #undef __FUNCT__
1930 #define __FUNCT__ "DMPlexCreateSubmesh_Interpolated"
1931 static PetscErrorCode DMPlexCreateSubmesh_Interpolated(DM dm, const char vertexLabelName[], PetscInt value, DM subdm)
1932 {
1933   MPI_Comm         comm;
1934   DMLabel          subpointMap, vertexLabel;
1935   IS              *subpointIS;
1936   const PetscInt **subpoints;
1937   PetscInt        *numSubPoints, *firstSubPoint, *coneNew;
1938   PetscInt         totSubPoints = 0, maxConeSize, dim, p, d, v;
1939   PetscErrorCode   ierr;
1940 
1941   PetscFunctionBegin;
1942   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
1943   /* Create subpointMap which marks the submesh */
1944   ierr = DMLabelCreate("subpoint_map", &subpointMap);CHKERRQ(ierr);
1945   ierr = DMPlexSetSubpointMap(subdm, subpointMap);CHKERRQ(ierr);
1946   ierr = DMLabelDestroy(&subpointMap);CHKERRQ(ierr);
1947   ierr = DMPlexGetLabel(dm, vertexLabelName, &vertexLabel);CHKERRQ(ierr);
1948   ierr = DMPlexMarkSubmesh_Interpolated(dm, vertexLabel, value, subpointMap, subdm);CHKERRQ(ierr);
1949   /* Setup chart */
1950   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
1951   ierr = PetscMalloc4(dim+1,PetscInt,&numSubPoints,dim+1,PetscInt,&firstSubPoint,dim+1,IS,&subpointIS,dim+1,const PetscInt *,&subpoints);CHKERRQ(ierr);
1952   for (d = 0; d <= dim; ++d) {
1953     ierr = DMLabelGetStratumSize(subpointMap, d, &numSubPoints[d]);CHKERRQ(ierr);
1954     totSubPoints += numSubPoints[d];
1955   }
1956   ierr = DMPlexSetChart(subdm, 0, totSubPoints);CHKERRQ(ierr);
1957   ierr = DMPlexSetVTKCellHeight(subdm, 1);CHKERRQ(ierr);
1958   /* Set cone sizes */
1959   firstSubPoint[dim] = 0;
1960   firstSubPoint[0]   = firstSubPoint[dim] + numSubPoints[dim];
1961   if (dim > 1) {firstSubPoint[dim-1] = firstSubPoint[0]     + numSubPoints[0];}
1962   if (dim > 2) {firstSubPoint[dim-2] = firstSubPoint[dim-1] + numSubPoints[dim-1];}
1963   for (d = 0; d <= dim; ++d) {
1964     ierr = DMLabelGetStratumIS(subpointMap, d, &subpointIS[d]);CHKERRQ(ierr);
1965     ierr = ISGetIndices(subpointIS[d], &subpoints[d]);CHKERRQ(ierr);
1966   }
1967   for (d = 0; d <= dim; ++d) {
1968     for (p = 0; p < numSubPoints[d]; ++p) {
1969       const PetscInt  point    = subpoints[d][p];
1970       const PetscInt  subpoint = firstSubPoint[d] + p;
1971       const PetscInt *cone;
1972       PetscInt        coneSize, coneSizeNew, c, val;
1973 
1974       ierr = DMPlexGetConeSize(dm, point, &coneSize);CHKERRQ(ierr);
1975       ierr = DMPlexSetConeSize(subdm, subpoint, coneSize);CHKERRQ(ierr);
1976       if (d == dim) {
1977         ierr = DMPlexGetCone(dm, point, &cone);CHKERRQ(ierr);
1978         for (c = 0, coneSizeNew = 0; c < coneSize; ++c) {
1979           ierr = DMLabelGetValue(subpointMap, cone[c], &val);CHKERRQ(ierr);
1980           if (val >= 0) coneSizeNew++;
1981         }
1982         ierr = DMPlexSetConeSize(subdm, subpoint, coneSizeNew);CHKERRQ(ierr);
1983       }
1984     }
1985   }
1986   ierr = DMSetUp(subdm);CHKERRQ(ierr);
1987   /* Set cones */
1988   ierr = DMPlexGetMaxSizes(dm, &maxConeSize, NULL);CHKERRQ(ierr);
1989   ierr = PetscMalloc(maxConeSize * sizeof(PetscInt), &coneNew);CHKERRQ(ierr);
1990   for (d = 0; d <= dim; ++d) {
1991     for (p = 0; p < numSubPoints[d]; ++p) {
1992       const PetscInt  point    = subpoints[d][p];
1993       const PetscInt  subpoint = firstSubPoint[d] + p;
1994       const PetscInt *cone;
1995       PetscInt        coneSize, subconeSize, coneSizeNew, c, subc;
1996 
1997       ierr = DMPlexGetConeSize(dm, point, &coneSize);CHKERRQ(ierr);
1998       ierr = DMPlexGetConeSize(subdm, subpoint, &subconeSize);CHKERRQ(ierr);
1999       ierr = DMPlexGetCone(dm, point, &cone);CHKERRQ(ierr);
2000       for (c = 0, coneSizeNew = 0; c < coneSize; ++c) {
2001         ierr = PetscFindInt(cone[c], numSubPoints[d-1], subpoints[d-1], &subc);CHKERRQ(ierr);
2002         if (subc >= 0) coneNew[coneSizeNew++] = firstSubPoint[d-1] + subc;
2003       }
2004       if (coneSizeNew != subconeSize) SETERRQ2(comm, PETSC_ERR_PLIB, "Number of cone points located %d does not match subcone size %d", coneSizeNew, subconeSize);
2005       ierr = DMPlexSetCone(subdm, subpoint, coneNew);CHKERRQ(ierr);
2006     }
2007   }
2008   ierr = PetscFree(coneNew);CHKERRQ(ierr);
2009   ierr = DMPlexSymmetrize(subdm);CHKERRQ(ierr);
2010   ierr = DMPlexStratify(subdm);CHKERRQ(ierr);
2011   /* Build coordinates */
2012   {
2013     PetscSection coordSection, subCoordSection;
2014     Vec          coordinates, subCoordinates;
2015     PetscScalar *coords, *subCoords;
2016     PetscInt     numComp, coordSize;
2017 
2018     ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
2019     ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
2020     ierr = DMPlexGetCoordinateSection(subdm, &subCoordSection);CHKERRQ(ierr);
2021     ierr = PetscSectionSetNumFields(subCoordSection, 1);CHKERRQ(ierr);
2022     ierr = PetscSectionGetFieldComponents(coordSection, 0, &numComp);CHKERRQ(ierr);
2023     ierr = PetscSectionSetFieldComponents(subCoordSection, 0, numComp);CHKERRQ(ierr);
2024     ierr = PetscSectionSetChart(subCoordSection, firstSubPoint[0], firstSubPoint[0]+numSubPoints[0]);CHKERRQ(ierr);
2025     for (v = 0; v < numSubPoints[0]; ++v) {
2026       const PetscInt vertex    = subpoints[0][v];
2027       const PetscInt subvertex = firstSubPoint[0]+v;
2028       PetscInt       dof;
2029 
2030       ierr = PetscSectionGetDof(coordSection, vertex, &dof);CHKERRQ(ierr);
2031       ierr = PetscSectionSetDof(subCoordSection, subvertex, dof);CHKERRQ(ierr);
2032       ierr = PetscSectionSetFieldDof(subCoordSection, subvertex, 0, dof);CHKERRQ(ierr);
2033     }
2034     ierr = PetscSectionSetUp(subCoordSection);CHKERRQ(ierr);
2035     ierr = PetscSectionGetStorageSize(subCoordSection, &coordSize);CHKERRQ(ierr);
2036     ierr = VecCreate(comm, &subCoordinates);CHKERRQ(ierr);
2037     ierr = VecSetSizes(subCoordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr);
2038     ierr = VecSetFromOptions(subCoordinates);CHKERRQ(ierr);
2039     ierr = VecGetArray(coordinates,    &coords);CHKERRQ(ierr);
2040     ierr = VecGetArray(subCoordinates, &subCoords);CHKERRQ(ierr);
2041     for (v = 0; v < numSubPoints[0]; ++v) {
2042       const PetscInt vertex    = subpoints[0][v];
2043       const PetscInt subvertex = firstSubPoint[0]+v;
2044       PetscInt dof, off, sdof, soff, d;
2045 
2046       ierr = PetscSectionGetDof(coordSection, vertex, &dof);CHKERRQ(ierr);
2047       ierr = PetscSectionGetOffset(coordSection, vertex, &off);CHKERRQ(ierr);
2048       ierr = PetscSectionGetDof(subCoordSection, subvertex, &sdof);CHKERRQ(ierr);
2049       ierr = PetscSectionGetOffset(subCoordSection, subvertex, &soff);CHKERRQ(ierr);
2050       if (dof != sdof) SETERRQ4(comm, PETSC_ERR_PLIB, "Coordinate dimension %d on subvertex %d, vertex %d should be %d", sdof, subvertex, vertex, dof);
2051       for (d = 0; d < dof; ++d) subCoords[soff+d] = coords[off+d];
2052     }
2053     ierr = VecRestoreArray(coordinates,    &coords);CHKERRQ(ierr);
2054     ierr = VecRestoreArray(subCoordinates, &subCoords);CHKERRQ(ierr);
2055     ierr = DMSetCoordinatesLocal(subdm, subCoordinates);CHKERRQ(ierr);
2056     ierr = VecDestroy(&subCoordinates);CHKERRQ(ierr);
2057   }
2058   /* Cleanup */
2059   for (d = 0; d <= dim; ++d) {
2060     ierr = ISRestoreIndices(subpointIS[d], &subpoints[d]);CHKERRQ(ierr);
2061     ierr = ISDestroy(&subpointIS[d]);CHKERRQ(ierr);
2062   }
2063   ierr = PetscFree4(numSubPoints,firstSubPoint,subpointIS,subpoints);CHKERRQ(ierr);
2064   PetscFunctionReturn(0);
2065 }
2066 
2067 #undef __FUNCT__
2068 #define __FUNCT__ "DMPlexCreateSubmesh"
2069 /*@C
2070   DMPlexCreateSubmesh - Extract a hypersurface from the mesh using vertices defined by a label
2071 
2072   Input Parameters:
2073 + dm           - The original mesh
2074 . vertexLabel  - The DMLabel marking vertices contained in the surface
2075 - value        - The label value to use
2076 
2077   Output Parameter:
2078 . subdm - The surface mesh
2079 
2080   Note: This function produces a DMLabel mapping original points in the submesh to their depth. This can be obtained using DMPlexGetSubpointMap().
2081 
2082   Level: developer
2083 
2084 .seealso: DMPlexGetSubpointMap(), DMPlexGetLabel(), DMLabelSetValue()
2085 @*/
2086 PetscErrorCode DMPlexCreateSubmesh(DM dm, const char vertexLabel[], PetscInt value, DM *subdm)
2087 {
2088   PetscInt       dim, depth;
2089   PetscErrorCode ierr;
2090 
2091   PetscFunctionBegin;
2092   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2093   PetscValidCharPointer(vertexLabel, 2);
2094   PetscValidPointer(subdm, 3);
2095   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
2096   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
2097   ierr = DMCreate(PetscObjectComm((PetscObject)dm), subdm);CHKERRQ(ierr);
2098   ierr = DMSetType(*subdm, DMPLEX);CHKERRQ(ierr);
2099   ierr = DMPlexSetDimension(*subdm, dim-1);CHKERRQ(ierr);
2100   if (depth == dim) {
2101     ierr = DMPlexCreateSubmesh_Interpolated(dm, vertexLabel, value, *subdm);CHKERRQ(ierr);
2102   } else {
2103     ierr = DMPlexCreateSubmesh_Uninterpolated(dm, vertexLabel, value, *subdm);CHKERRQ(ierr);
2104   }
2105   PetscFunctionReturn(0);
2106 }
2107 
2108 #undef __FUNCT__
2109 #define __FUNCT__ "DMPlexCreateCohesiveSubmesh_Uninterpolated"
2110 static PetscErrorCode DMPlexCreateCohesiveSubmesh_Uninterpolated(DM dm, PetscBool hasLagrange, DM subdm)
2111 {
2112   MPI_Comm        comm;
2113   DMLabel         subpointMap;
2114   IS              subvertexIS;
2115   const PetscInt *subVertices;
2116   PetscInt        numSubVertices, firstSubVertex, numSubCells, *subCells;
2117   PetscInt       *subface, maxConeSize, numSubFaces, firstSubFace, newFacePoint, nFV;
2118   PetscInt        cMax, c, f;
2119   PetscErrorCode  ierr;
2120 
2121   PetscFunctionBegin;
2122   ierr = PetscObjectGetComm((PetscObject)dm, &comm);CHKERRQ(ierr);
2123   /* Create subpointMap which marks the submesh */
2124   ierr = DMLabelCreate("subpoint_map", &subpointMap);CHKERRQ(ierr);
2125   ierr = DMPlexSetSubpointMap(subdm, subpointMap);CHKERRQ(ierr);
2126   ierr = DMLabelDestroy(&subpointMap);CHKERRQ(ierr);
2127   ierr = DMPlexMarkCohesiveSubmesh_Uninterpolated(dm, hasLagrange, subpointMap, &numSubFaces, &nFV, &subCells, subdm);CHKERRQ(ierr);
2128   /* Setup chart */
2129   ierr = DMLabelGetStratumSize(subpointMap, 0, &numSubVertices);CHKERRQ(ierr);
2130   ierr = DMLabelGetStratumSize(subpointMap, 2, &numSubCells);CHKERRQ(ierr);
2131   ierr = DMPlexSetChart(subdm, 0, numSubCells+numSubFaces+numSubVertices);CHKERRQ(ierr);
2132   ierr = DMPlexSetVTKCellHeight(subdm, 1);CHKERRQ(ierr);
2133   /* Set cone sizes */
2134   firstSubVertex = numSubCells;
2135   firstSubFace   = numSubCells+numSubVertices;
2136   newFacePoint   = firstSubFace;
2137   ierr = DMLabelGetStratumIS(subpointMap, 0, &subvertexIS);CHKERRQ(ierr);
2138   if (subvertexIS) {ierr = ISGetIndices(subvertexIS, &subVertices);CHKERRQ(ierr);}
2139   for (c = 0; c < numSubCells; ++c) {
2140     ierr = DMPlexSetConeSize(subdm, c, 1);CHKERRQ(ierr);
2141   }
2142   for (f = firstSubFace; f < firstSubFace+numSubFaces; ++f) {
2143     ierr = DMPlexSetConeSize(subdm, f, nFV);CHKERRQ(ierr);
2144   }
2145   ierr = DMSetUp(subdm);CHKERRQ(ierr);
2146   /* Create face cones */
2147   ierr = DMPlexGetMaxSizes(dm, &maxConeSize, NULL);CHKERRQ(ierr);
2148   ierr = DMPlexGetHybridBounds(dm, &cMax, NULL, NULL, NULL);CHKERRQ(ierr);
2149   ierr = DMGetWorkArray(subdm, maxConeSize, PETSC_INT, (void**) &subface);CHKERRQ(ierr);
2150   for (c = 0; c < numSubCells; ++c) {
2151     const PetscInt  cell    = subCells[c];
2152     const PetscInt  subcell = c;
2153     const PetscInt *cone, *cells;
2154     PetscInt        numCells, subVertex, p, v;
2155 
2156     if (cell < cMax) continue;
2157     ierr = DMPlexGetCone(dm, cell, &cone);CHKERRQ(ierr);
2158     for (v = 0; v < nFV; ++v) {
2159       ierr = PetscFindInt(cone[v], numSubVertices, subVertices, &subVertex);CHKERRQ(ierr);
2160       subface[v] = firstSubVertex+subVertex;
2161     }
2162     ierr = DMPlexSetCone(subdm, newFacePoint, subface);CHKERRQ(ierr);
2163     ierr = DMPlexSetCone(subdm, subcell, &newFacePoint);CHKERRQ(ierr);
2164     ierr = DMPlexGetJoin(dm, nFV, cone, &numCells, &cells);CHKERRQ(ierr);
2165     if (numCells != 2) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cohesive cells should separate two cells");
2166     for (p = 0; p < numCells; ++p) {
2167       PetscInt negsubcell;
2168 
2169       if (cells[p] >= cMax) continue;
2170       /* I know this is a crap search */
2171       for (negsubcell = 0; negsubcell < numSubCells; ++negsubcell) {
2172         if (subCells[negsubcell] == cells[p]) break;
2173       }
2174       if (negsubcell == numSubCells) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Could not find negative face neighbor for cohesive cell %d", cell);
2175       ierr = DMPlexSetCone(subdm, negsubcell, &newFacePoint);CHKERRQ(ierr);
2176     }
2177     ierr = DMPlexRestoreJoin(dm, nFV, cone, &numCells, &cells);CHKERRQ(ierr);
2178     ++newFacePoint;
2179   }
2180   ierr = DMRestoreWorkArray(subdm, maxConeSize, PETSC_INT, (void**) &subface);CHKERRQ(ierr);
2181   ierr = DMPlexSymmetrize(subdm);CHKERRQ(ierr);
2182   ierr = DMPlexStratify(subdm);CHKERRQ(ierr);
2183   /* Build coordinates */
2184   {
2185     PetscSection coordSection, subCoordSection;
2186     Vec          coordinates, subCoordinates;
2187     PetscScalar *coords, *subCoords;
2188     PetscInt     numComp, coordSize, v;
2189 
2190     ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
2191     ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
2192     ierr = DMPlexGetCoordinateSection(subdm, &subCoordSection);CHKERRQ(ierr);
2193     ierr = PetscSectionSetNumFields(subCoordSection, 1);CHKERRQ(ierr);
2194     ierr = PetscSectionGetFieldComponents(coordSection, 0, &numComp);CHKERRQ(ierr);
2195     ierr = PetscSectionSetFieldComponents(subCoordSection, 0, numComp);CHKERRQ(ierr);
2196     ierr = PetscSectionSetChart(subCoordSection, firstSubVertex, firstSubVertex+numSubVertices);CHKERRQ(ierr);
2197     for (v = 0; v < numSubVertices; ++v) {
2198       const PetscInt vertex    = subVertices[v];
2199       const PetscInt subvertex = firstSubVertex+v;
2200       PetscInt       dof;
2201 
2202       ierr = PetscSectionGetDof(coordSection, vertex, &dof);CHKERRQ(ierr);
2203       ierr = PetscSectionSetDof(subCoordSection, subvertex, dof);CHKERRQ(ierr);
2204       ierr = PetscSectionSetFieldDof(subCoordSection, subvertex, 0, dof);CHKERRQ(ierr);
2205     }
2206     ierr = PetscSectionSetUp(subCoordSection);CHKERRQ(ierr);
2207     ierr = PetscSectionGetStorageSize(subCoordSection, &coordSize);CHKERRQ(ierr);
2208     ierr = VecCreate(comm, &subCoordinates);CHKERRQ(ierr);
2209     if (coordSize) {
2210       ierr = VecSetSizes(subCoordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr);
2211       ierr = VecSetFromOptions(subCoordinates);CHKERRQ(ierr);
2212       ierr = VecGetArray(coordinates,    &coords);CHKERRQ(ierr);
2213       ierr = VecGetArray(subCoordinates, &subCoords);CHKERRQ(ierr);
2214       for (v = 0; v < numSubVertices; ++v) {
2215         const PetscInt vertex    = subVertices[v];
2216         const PetscInt subvertex = firstSubVertex+v;
2217         PetscInt       dof, off, sdof, soff, d;
2218 
2219         ierr = PetscSectionGetDof(coordSection, vertex, &dof);CHKERRQ(ierr);
2220         ierr = PetscSectionGetOffset(coordSection, vertex, &off);CHKERRQ(ierr);
2221         ierr = PetscSectionGetDof(subCoordSection, subvertex, &sdof);CHKERRQ(ierr);
2222         ierr = PetscSectionGetOffset(subCoordSection, subvertex, &soff);CHKERRQ(ierr);
2223         if (dof != sdof) SETERRQ4(comm, PETSC_ERR_PLIB, "Coordinate dimension %d on subvertex %d, vertex %d should be %d", sdof, subvertex, vertex, dof);
2224         for (d = 0; d < dof; ++d) subCoords[soff+d] = coords[off+d];
2225       }
2226       ierr = VecRestoreArray(coordinates,    &coords);CHKERRQ(ierr);
2227       ierr = VecRestoreArray(subCoordinates, &subCoords);CHKERRQ(ierr);
2228     }
2229     ierr = DMSetCoordinatesLocal(subdm, subCoordinates);CHKERRQ(ierr);
2230     ierr = VecDestroy(&subCoordinates);CHKERRQ(ierr);
2231   }
2232   /* Cleanup */
2233   if (subvertexIS) {ierr = ISRestoreIndices(subvertexIS, &subVertices);CHKERRQ(ierr);}
2234   ierr = ISDestroy(&subvertexIS);CHKERRQ(ierr);
2235   ierr = PetscFree(subCells);CHKERRQ(ierr);
2236   PetscFunctionReturn(0);
2237 }
2238 
2239 #undef __FUNCT__
2240 #define __FUNCT__ "DMPlexCreateCohesiveSubmesh_Interpolated"
2241 static PetscErrorCode DMPlexCreateCohesiveSubmesh_Interpolated(DM dm, PetscBool hasLagrange, DM subdm)
2242 {
2243   MPI_Comm         comm;
2244   DMLabel          subpointMap;
2245   IS              *subpointIS;
2246   const PetscInt **subpoints;
2247   PetscInt        *numSubPoints, *firstSubPoint, *coneNew;
2248   PetscInt         totSubPoints = 0, maxConeSize, dim, p, d, v;
2249   PetscErrorCode   ierr;
2250 
2251   PetscFunctionBegin;
2252   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
2253   /* Create subpointMap which marks the submesh */
2254   ierr = DMLabelCreate("subpoint_map", &subpointMap);CHKERRQ(ierr);
2255   ierr = DMPlexSetSubpointMap(subdm, subpointMap);CHKERRQ(ierr);
2256   ierr = DMLabelDestroy(&subpointMap);CHKERRQ(ierr);
2257   ierr = DMPlexMarkCohesiveSubmesh_Interpolated(dm, hasLagrange, subpointMap, subdm);CHKERRQ(ierr);
2258   /* Setup chart */
2259   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
2260   ierr = PetscMalloc4(dim+1,PetscInt,&numSubPoints,dim+1,PetscInt,&firstSubPoint,dim+1,IS,&subpointIS,dim+1,const PetscInt *,&subpoints);CHKERRQ(ierr);
2261   for (d = 0; d <= dim; ++d) {
2262     ierr = DMLabelGetStratumSize(subpointMap, d, &numSubPoints[d]);CHKERRQ(ierr);
2263     totSubPoints += numSubPoints[d];
2264   }
2265   ierr = DMPlexSetChart(subdm, 0, totSubPoints);CHKERRQ(ierr);
2266   ierr = DMPlexSetVTKCellHeight(subdm, 1);CHKERRQ(ierr);
2267   /* Set cone sizes */
2268   firstSubPoint[dim] = 0;
2269   firstSubPoint[0]   = firstSubPoint[dim] + numSubPoints[dim];
2270   if (dim > 1) {firstSubPoint[dim-1] = firstSubPoint[0]     + numSubPoints[0];}
2271   if (dim > 2) {firstSubPoint[dim-2] = firstSubPoint[dim-1] + numSubPoints[dim-1];}
2272   for (d = 0; d <= dim; ++d) {
2273     ierr = DMLabelGetStratumIS(subpointMap, d, &subpointIS[d]);CHKERRQ(ierr);
2274     ierr = ISGetIndices(subpointIS[d], &subpoints[d]);CHKERRQ(ierr);
2275   }
2276   for (d = 0; d <= dim; ++d) {
2277     for (p = 0; p < numSubPoints[d]; ++p) {
2278       const PetscInt  point    = subpoints[d][p];
2279       const PetscInt  subpoint = firstSubPoint[d] + p;
2280       const PetscInt *cone;
2281       PetscInt        coneSize, coneSizeNew, c, val;
2282 
2283       ierr = DMPlexGetConeSize(dm, point, &coneSize);CHKERRQ(ierr);
2284       ierr = DMPlexSetConeSize(subdm, subpoint, coneSize);CHKERRQ(ierr);
2285       if (d == dim) {
2286         ierr = DMPlexGetCone(dm, point, &cone);CHKERRQ(ierr);
2287         for (c = 0, coneSizeNew = 0; c < coneSize; ++c) {
2288           ierr = DMLabelGetValue(subpointMap, cone[c], &val);CHKERRQ(ierr);
2289           if (val >= 0) coneSizeNew++;
2290         }
2291         ierr = DMPlexSetConeSize(subdm, subpoint, coneSizeNew);CHKERRQ(ierr);
2292       }
2293     }
2294   }
2295   ierr = DMSetUp(subdm);CHKERRQ(ierr);
2296   /* Set cones */
2297   ierr = DMPlexGetMaxSizes(dm, &maxConeSize, NULL);CHKERRQ(ierr);
2298   ierr = PetscMalloc(maxConeSize * sizeof(PetscInt), &coneNew);CHKERRQ(ierr);
2299   for (d = 0; d <= dim; ++d) {
2300     for (p = 0; p < numSubPoints[d]; ++p) {
2301       const PetscInt  point    = subpoints[d][p];
2302       const PetscInt  subpoint = firstSubPoint[d] + p;
2303       const PetscInt *cone;
2304       PetscInt        coneSize, subconeSize, coneSizeNew, c, subc;
2305 
2306       ierr = DMPlexGetConeSize(dm, point, &coneSize);CHKERRQ(ierr);
2307       ierr = DMPlexGetConeSize(subdm, subpoint, &subconeSize);CHKERRQ(ierr);
2308       ierr = DMPlexGetCone(dm, point, &cone);CHKERRQ(ierr);
2309       for (c = 0, coneSizeNew = 0; c < coneSize; ++c) {
2310         ierr = PetscFindInt(cone[c], numSubPoints[d-1], subpoints[d-1], &subc);CHKERRQ(ierr);
2311         if (subc >= 0) coneNew[coneSizeNew++] = firstSubPoint[d-1] + subc;
2312       }
2313       if (coneSizeNew != subconeSize) SETERRQ2(comm, PETSC_ERR_PLIB, "Number of cone points located %d does not match subcone size %d", coneSizeNew, subconeSize);
2314       ierr = DMPlexSetCone(subdm, subpoint, coneNew);CHKERRQ(ierr);
2315     }
2316   }
2317   ierr = PetscFree(coneNew);CHKERRQ(ierr);
2318   ierr = DMPlexSymmetrize(subdm);CHKERRQ(ierr);
2319   ierr = DMPlexStratify(subdm);CHKERRQ(ierr);
2320   /* Build coordinates */
2321   {
2322     PetscSection coordSection, subCoordSection;
2323     Vec          coordinates, subCoordinates;
2324     PetscScalar *coords, *subCoords;
2325     PetscInt     numComp, coordSize;
2326 
2327     ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
2328     ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
2329     ierr = DMPlexGetCoordinateSection(subdm, &subCoordSection);CHKERRQ(ierr);
2330     ierr = PetscSectionSetNumFields(subCoordSection, 1);CHKERRQ(ierr);
2331     ierr = PetscSectionGetFieldComponents(coordSection, 0, &numComp);CHKERRQ(ierr);
2332     ierr = PetscSectionSetFieldComponents(subCoordSection, 0, numComp);CHKERRQ(ierr);
2333     ierr = PetscSectionSetChart(subCoordSection, firstSubPoint[0], firstSubPoint[0]+numSubPoints[0]);CHKERRQ(ierr);
2334     for (v = 0; v < numSubPoints[0]; ++v) {
2335       const PetscInt vertex    = subpoints[0][v];
2336       const PetscInt subvertex = firstSubPoint[0]+v;
2337       PetscInt       dof;
2338 
2339       ierr = PetscSectionGetDof(coordSection, vertex, &dof);CHKERRQ(ierr);
2340       ierr = PetscSectionSetDof(subCoordSection, subvertex, dof);CHKERRQ(ierr);
2341       ierr = PetscSectionSetFieldDof(subCoordSection, subvertex, 0, dof);CHKERRQ(ierr);
2342     }
2343     ierr = PetscSectionSetUp(subCoordSection);CHKERRQ(ierr);
2344     ierr = PetscSectionGetStorageSize(subCoordSection, &coordSize);CHKERRQ(ierr);
2345     ierr = VecCreate(comm, &subCoordinates);CHKERRQ(ierr);
2346     ierr = VecSetSizes(subCoordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr);
2347     ierr = VecSetFromOptions(subCoordinates);CHKERRQ(ierr);
2348     ierr = VecGetArray(coordinates,    &coords);CHKERRQ(ierr);
2349     ierr = VecGetArray(subCoordinates, &subCoords);CHKERRQ(ierr);
2350     for (v = 0; v < numSubPoints[0]; ++v) {
2351       const PetscInt vertex    = subpoints[0][v];
2352       const PetscInt subvertex = firstSubPoint[0]+v;
2353       PetscInt dof, off, sdof, soff, d;
2354 
2355       ierr = PetscSectionGetDof(coordSection, vertex, &dof);CHKERRQ(ierr);
2356       ierr = PetscSectionGetOffset(coordSection, vertex, &off);CHKERRQ(ierr);
2357       ierr = PetscSectionGetDof(subCoordSection, subvertex, &sdof);CHKERRQ(ierr);
2358       ierr = PetscSectionGetOffset(subCoordSection, subvertex, &soff);CHKERRQ(ierr);
2359       if (dof != sdof) SETERRQ4(comm, PETSC_ERR_PLIB, "Coordinate dimension %d on subvertex %d, vertex %d should be %d", sdof, subvertex, vertex, dof);
2360       for (d = 0; d < dof; ++d) subCoords[soff+d] = coords[off+d];
2361     }
2362     ierr = VecRestoreArray(coordinates,    &coords);CHKERRQ(ierr);
2363     ierr = VecRestoreArray(subCoordinates, &subCoords);CHKERRQ(ierr);
2364     ierr = DMSetCoordinatesLocal(subdm, subCoordinates);CHKERRQ(ierr);
2365     ierr = VecDestroy(&subCoordinates);CHKERRQ(ierr);
2366   }
2367   /* Cleanup */
2368   for (d = 0; d <= dim; ++d) {
2369     ierr = ISRestoreIndices(subpointIS[d], &subpoints[d]);CHKERRQ(ierr);
2370     ierr = ISDestroy(&subpointIS[d]);CHKERRQ(ierr);
2371   }
2372   ierr = PetscFree4(numSubPoints,firstSubPoint,subpointIS,subpoints);CHKERRQ(ierr);
2373   PetscFunctionReturn(0);
2374 }
2375 
2376 #undef __FUNCT__
2377 #define __FUNCT__ "DMPlexCreateCohesiveSubmesh"
2378 /*
2379   DMPlexCreateCohesiveSubmesh - Extract from a mesh with cohesive cells the hypersurface defined by one face of the cells.
2380 
2381   Input Parameters:
2382 + dm          - The original mesh
2383 - hasLagrange - The mesh has Lagrange unknowns in the cohesive cells
2384 
2385   Output Parameter:
2386 . subdm - The surface mesh
2387 
2388   Note: This function produces a DMLabel mapping original points in the submesh to their depth. This can be obtained using DMPlexGetSubpointMap().
2389 
2390   Level: developer
2391 
2392 .seealso: DMPlexGetSubpointMap(), DMPlexCreateSubmesh()
2393 */
2394 PetscErrorCode DMPlexCreateCohesiveSubmesh(DM dm, PetscBool hasLagrange, DM *subdm)
2395 {
2396   PetscInt       dim, depth;
2397   PetscErrorCode ierr;
2398 
2399   PetscFunctionBegin;
2400   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2401   PetscValidPointer(subdm, 3);
2402   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
2403   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
2404   ierr = DMCreate(PetscObjectComm((PetscObject)dm), subdm);CHKERRQ(ierr);
2405   ierr = DMSetType(*subdm, DMPLEX);CHKERRQ(ierr);
2406   ierr = DMPlexSetDimension(*subdm, dim-1);CHKERRQ(ierr);
2407   if (depth == dim) {
2408     ierr = DMPlexCreateCohesiveSubmesh_Interpolated(dm, hasLagrange, *subdm);CHKERRQ(ierr);
2409   } else {
2410     ierr = DMPlexCreateCohesiveSubmesh_Uninterpolated(dm, hasLagrange, *subdm);CHKERRQ(ierr);
2411   }
2412   PetscFunctionReturn(0);
2413 }
2414 
2415 #undef __FUNCT__
2416 #define __FUNCT__ "DMPlexGetSubpointMap"
2417 PetscErrorCode DMPlexGetSubpointMap(DM dm, DMLabel *subpointMap)
2418 {
2419   DM_Plex *mesh = (DM_Plex*) dm->data;
2420 
2421   PetscFunctionBegin;
2422   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2423   PetscValidPointer(subpointMap, 2);
2424   *subpointMap = mesh->subpointMap;
2425   PetscFunctionReturn(0);
2426 }
2427 
2428 #undef __FUNCT__
2429 #define __FUNCT__ "DMPlexSetSubpointMap"
2430 /* Note: Should normally not be called by the user, since it is set in DMPlexCreateSubmesh() */
2431 PetscErrorCode DMPlexSetSubpointMap(DM dm, DMLabel subpointMap)
2432 {
2433   DM_Plex       *mesh = (DM_Plex *) dm->data;
2434   DMLabel        tmp;
2435   PetscErrorCode ierr;
2436 
2437   PetscFunctionBegin;
2438   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2439   tmp  = mesh->subpointMap;
2440   mesh->subpointMap = subpointMap;
2441   ++mesh->subpointMap->refct;
2442   ierr = DMLabelDestroy(&tmp);CHKERRQ(ierr);
2443   PetscFunctionReturn(0);
2444 }
2445 
2446 #undef __FUNCT__
2447 #define __FUNCT__ "DMPlexCreateSubpointIS"
2448 /*
2449   DMPlexCreateSubpointIS - Creates an IS covering the entire subdm chart with the original points as data
2450 
2451   Input Parameter:
2452 . dm - The submesh DM
2453 
2454   Output Parameter:
2455 . subpointIS - The IS of all the points from the original mesh in this submesh, or NULL if this is not a submesh
2456 
2457   Note: This is IS is guaranteed to be sorted by the construction of the submesh
2458 */
2459 PetscErrorCode DMPlexCreateSubpointIS(DM dm, IS *subpointIS)
2460 {
2461   MPI_Comm        comm;
2462   DMLabel         subpointMap;
2463   IS              is;
2464   const PetscInt *opoints;
2465   PetscInt       *points, *depths;
2466   PetscInt        depth, depStart, depEnd, d, pStart, pEnd, p, n, off;
2467   PetscErrorCode  ierr;
2468 
2469   PetscFunctionBegin;
2470   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2471   PetscValidPointer(subpointIS, 2);
2472   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
2473   *subpointIS = NULL;
2474   ierr = DMPlexGetSubpointMap(dm, &subpointMap);CHKERRQ(ierr);
2475   if (subpointMap) {
2476     ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
2477     ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
2478     if (pStart) SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Submeshes must start the point numbering at 0, not %d", pStart);
2479     ierr = DMGetWorkArray(dm, depth+1, PETSC_INT, &depths);CHKERRQ(ierr);
2480     depths[0] = depth;
2481     depths[1] = 0;
2482     for(d = 2; d <= depth; ++d) {depths[d] = depth+1 - d;}
2483     ierr = PetscMalloc(pEnd * sizeof(PetscInt), &points);CHKERRQ(ierr);
2484     for(d = 0, off = 0; d <= depth; ++d) {
2485       const PetscInt dep = depths[d];
2486 
2487       ierr = DMPlexGetDepthStratum(dm, dep, &depStart, &depEnd);CHKERRQ(ierr);
2488       ierr = DMLabelGetStratumSize(subpointMap, dep, &n);CHKERRQ(ierr);
2489       if (((d < 2) && (depth > 1)) || (d == 1)) { /* Only check vertices and cells for now since the map is broken for others */
2490         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);
2491       } else {
2492         if (!n) {
2493           if (d == 0) {
2494             /* Missing cells */
2495             for(p = 0; p < depEnd-depStart; ++p, ++off) points[off] = -1;
2496           } else {
2497             /* Missing faces */
2498             for(p = 0; p < depEnd-depStart; ++p, ++off) points[off] = PETSC_MAX_INT;
2499           }
2500         }
2501       }
2502       if (n) {
2503         ierr = DMLabelGetStratumIS(subpointMap, dep, &is);CHKERRQ(ierr);
2504         ierr = ISGetIndices(is, &opoints);CHKERRQ(ierr);
2505         for(p = 0; p < n; ++p, ++off) points[off] = opoints[p];
2506         ierr = ISRestoreIndices(is, &opoints);CHKERRQ(ierr);
2507         ierr = ISDestroy(&is);CHKERRQ(ierr);
2508       }
2509     }
2510     ierr = DMRestoreWorkArray(dm, depth+1, PETSC_INT, &depths);CHKERRQ(ierr);
2511     if (off != pEnd) SETERRQ2(comm, PETSC_ERR_ARG_WRONG, "The number of mapped submesh points %d should be %d", off, pEnd);
2512     ierr = ISCreateGeneral(comm, pEnd, points, PETSC_OWN_POINTER, subpointIS);CHKERRQ(ierr);
2513   }
2514   PetscFunctionReturn(0);
2515 }
2516