xref: /petsc/src/dm/impls/plex/plex.c (revision 74d4b734d8049a150915ce91a7def3962c3ab772)
1 #include <petsc-private/dmpleximpl.h>   /*I      "petscdmplex.h"   I*/
2 #include <../src/sys/utils/hash.h>
3 #include <petsc-private/isimpl.h>
4 
5 /* Logging support */
6 PetscLogEvent DMPLEX_Distribute, DMPLEX_Stratify;
7 
8 PETSC_EXTERN PetscErrorCode VecView_Seq(Vec, PetscViewer);
9 PETSC_EXTERN PetscErrorCode VecView_MPI(Vec, PetscViewer);
10 
11 #undef __FUNCT__
12 #define __FUNCT__ "VecView_Plex_Local"
13 PetscErrorCode VecView_Plex_Local(Vec v, PetscViewer viewer)
14 {
15   DM             dm;
16   PetscBool      isvtk;
17   PetscErrorCode ierr;
18 
19   PetscFunctionBegin;
20   ierr = VecGetDM(v, &dm);CHKERRQ(ierr);
21   if (!dm) SETERRQ(PetscObjectComm((PetscObject)v), PETSC_ERR_ARG_WRONG, "Vector not generated from a DM");
22   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERVTK, &isvtk);CHKERRQ(ierr);
23   if (isvtk) {
24     PetscViewerVTKFieldType ft = PETSC_VTK_POINT_FIELD;
25     PetscSection            section;
26     PetscInt                dim, pStart, pEnd, cStart, fStart, vStart, cdof = 0, fdof = 0, vdof = 0;
27 
28     ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
29     ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);
30     ierr = DMPlexGetHeightStratum(dm, 0, &cStart, NULL);CHKERRQ(ierr);
31     ierr = DMPlexGetHeightStratum(dm, 1, &fStart, NULL);CHKERRQ(ierr);
32     ierr = DMPlexGetDepthStratum(dm, 0, &vStart, NULL);CHKERRQ(ierr);
33     ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
34     /* Assumes that numer of dofs per point of each stratum is constant, natural for VTK */
35     if ((cStart >= pStart) && (cStart < pEnd)) {ierr = PetscSectionGetDof(section, cStart, &cdof);CHKERRQ(ierr);}
36     if ((fStart >= pStart) && (fStart < pEnd)) {ierr = PetscSectionGetDof(section, fStart, &fdof);CHKERRQ(ierr);}
37     if ((vStart >= pStart) && (vStart < pEnd)) {ierr = PetscSectionGetDof(section, vStart, &vdof);CHKERRQ(ierr);}
38     if (cdof && fdof && vdof) { /* Actually Q2 or some such, but visualize as Q1 */
39       ft = (cdof == dim) ? PETSC_VTK_POINT_VECTOR_FIELD : PETSC_VTK_POINT_FIELD;
40     } else if (cdof && vdof) {
41       SETERRQ(PetscObjectComm((PetscObject)viewer),PETSC_ERR_SUP,"No support for viewing mixed space with dofs at both vertices and cells");
42     } else if (cdof) {
43       /* TODO: This assumption should be removed when there is a way of identifying whether a space is conceptually a
44        * vector or just happens to have the same number of dofs as the dimension. */
45       if (cdof == dim) {
46         ft = PETSC_VTK_CELL_VECTOR_FIELD;
47       } else {
48         ft = PETSC_VTK_CELL_FIELD;
49       }
50     } else if (vdof) {
51       if (vdof == dim) {
52         ft = PETSC_VTK_POINT_VECTOR_FIELD;
53       } else {
54         ft = PETSC_VTK_POINT_FIELD;
55       }
56     } else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Could not classify input Vec for VTK");
57 
58     ierr = PetscObjectReference((PetscObject) dm);CHKERRQ(ierr); /* viewer drops reference */
59     ierr = PetscObjectReference((PetscObject) v);CHKERRQ(ierr);  /* viewer drops reference */
60     ierr = PetscViewerVTKAddField(viewer, (PetscObject) dm, DMPlexVTKWriteAll, ft, (PetscObject) v);CHKERRQ(ierr);
61   } else {
62     PetscBool isseq;
63 
64     ierr = PetscObjectTypeCompare((PetscObject) v, VECSEQ, &isseq);CHKERRQ(ierr);
65     if (isseq) {
66       ierr = VecView_Seq(v, viewer);CHKERRQ(ierr);
67     } else {
68       ierr = VecView_MPI(v, viewer);CHKERRQ(ierr);
69     }
70   }
71   PetscFunctionReturn(0);
72 }
73 
74 #undef __FUNCT__
75 #define __FUNCT__ "VecView_Plex"
76 PetscErrorCode VecView_Plex(Vec v, PetscViewer viewer)
77 {
78   DM             dm;
79   PetscBool      isvtk;
80   PetscErrorCode ierr;
81 
82   PetscFunctionBegin;
83   ierr = VecGetDM(v, &dm);CHKERRQ(ierr);
84   if (!dm) SETERRQ(PetscObjectComm((PetscObject)v), PETSC_ERR_ARG_WRONG, "Vector not generated from a DM");
85   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERVTK, &isvtk);CHKERRQ(ierr);
86   if (isvtk) {
87     Vec         locv;
88     const char *name;
89 
90     ierr = DMGetLocalVector(dm, &locv);CHKERRQ(ierr);
91     ierr = PetscObjectGetName((PetscObject) v, &name);CHKERRQ(ierr);
92     ierr = PetscObjectSetName((PetscObject) locv, name);CHKERRQ(ierr);
93     ierr = DMGlobalToLocalBegin(dm, v, INSERT_VALUES, locv);CHKERRQ(ierr);
94     ierr = DMGlobalToLocalEnd(dm, v, INSERT_VALUES, locv);CHKERRQ(ierr);
95     ierr = VecView_Plex_Local(locv, viewer);CHKERRQ(ierr);
96     ierr = DMRestoreLocalVector(dm, &locv);CHKERRQ(ierr);
97   } else {
98     PetscBool isseq;
99 
100     ierr = PetscObjectTypeCompare((PetscObject) v, VECSEQ, &isseq);CHKERRQ(ierr);
101     if (isseq) {
102       ierr = VecView_Seq(v, viewer);CHKERRQ(ierr);
103     } else {
104       ierr = VecView_MPI(v, viewer);CHKERRQ(ierr);
105     }
106   }
107   PetscFunctionReturn(0);
108 }
109 
110 #undef __FUNCT__
111 #define __FUNCT__ "DMPlexView_Ascii"
112 PetscErrorCode DMPlexView_Ascii(DM dm, PetscViewer viewer)
113 {
114   DM_Plex          *mesh = (DM_Plex*) dm->data;
115   DM                cdm;
116   DMLabel           markers;
117   PetscSection      coordSection;
118   Vec               coordinates;
119   PetscViewerFormat format;
120   PetscErrorCode    ierr;
121 
122   PetscFunctionBegin;
123   ierr = DMGetCoordinateDM(dm, &cdm);CHKERRQ(ierr);
124   ierr = DMGetDefaultSection(cdm, &coordSection);CHKERRQ(ierr);
125   ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
126   ierr = PetscViewerGetFormat(viewer, &format);CHKERRQ(ierr);
127   if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
128     const char *name;
129     PetscInt    maxConeSize, maxSupportSize;
130     PetscInt    pStart, pEnd, p;
131     PetscMPIInt rank, size;
132 
133     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)dm), &rank);CHKERRQ(ierr);
134     ierr = MPI_Comm_size(PetscObjectComm((PetscObject)dm), &size);CHKERRQ(ierr);
135     ierr = PetscObjectGetName((PetscObject) dm, &name);CHKERRQ(ierr);
136     ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
137     ierr = DMPlexGetMaxSizes(dm, &maxConeSize, &maxSupportSize);CHKERRQ(ierr);
138     ierr = PetscViewerASCIISynchronizedAllow(viewer, PETSC_TRUE);CHKERRQ(ierr);
139     ierr = PetscViewerASCIIPrintf(viewer, "Mesh '%s':\n", name);CHKERRQ(ierr);
140     ierr = PetscViewerASCIISynchronizedPrintf(viewer, "Max sizes cone: %D support: %D\n", maxConeSize, maxSupportSize);CHKERRQ(ierr);
141     ierr = PetscViewerASCIIPrintf(viewer, "orientation is missing\n", name);CHKERRQ(ierr);
142     ierr = PetscViewerASCIIPrintf(viewer, "cap --> base:\n", name);CHKERRQ(ierr);
143     for (p = pStart; p < pEnd; ++p) {
144       PetscInt dof, off, s;
145 
146       ierr = PetscSectionGetDof(mesh->supportSection, p, &dof);CHKERRQ(ierr);
147       ierr = PetscSectionGetOffset(mesh->supportSection, p, &off);CHKERRQ(ierr);
148       for (s = off; s < off+dof; ++s) {
149         ierr = PetscViewerASCIISynchronizedPrintf(viewer, "[%D]: %D ----> %D\n", rank, p, mesh->supports[s]);CHKERRQ(ierr);
150       }
151     }
152     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
153     ierr = PetscViewerASCIIPrintf(viewer, "base <-- cap:\n", name);CHKERRQ(ierr);
154     for (p = pStart; p < pEnd; ++p) {
155       PetscInt dof, off, c;
156 
157       ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
158       ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
159       for (c = off; c < off+dof; ++c) {
160         ierr = PetscViewerASCIISynchronizedPrintf(viewer, "[%D]: %D <---- %D (%D)\n", rank, p, mesh->cones[c], mesh->coneOrientations[c]);CHKERRQ(ierr);
161       }
162     }
163     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
164     ierr = PetscSectionGetChart(coordSection, &pStart, NULL);CHKERRQ(ierr);
165     if (pStart >= 0) {ierr = PetscSectionVecView(coordSection, coordinates, viewer);CHKERRQ(ierr);}
166     ierr = DMPlexGetLabel(dm, "marker", &markers);CHKERRQ(ierr);
167     ierr = DMLabelView(markers,viewer);CHKERRQ(ierr);
168     if (size > 1) {
169       PetscSF sf;
170 
171       ierr = DMGetPointSF(dm, &sf);CHKERRQ(ierr);
172       ierr = PetscSFView(sf, viewer);CHKERRQ(ierr);
173     }
174     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
175   } else if (format == PETSC_VIEWER_ASCII_LATEX) {
176     const char  *name;
177     const char  *colors[3] = {"red", "blue", "green"};
178     const int    numColors  = 3;
179     PetscReal    scale      = 2.0;
180     PetscScalar *coords;
181     PetscInt     depth, cStart, cEnd, c, vStart, vEnd, v, eStart = 0, eEnd = 0, e, p;
182     PetscMPIInt  rank, size;
183 
184     ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
185     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)dm), &rank);CHKERRQ(ierr);
186     ierr = MPI_Comm_size(PetscObjectComm((PetscObject)dm), &size);CHKERRQ(ierr);
187     ierr = PetscObjectGetName((PetscObject) dm, &name);CHKERRQ(ierr);
188     ierr = PetscViewerASCIISynchronizedAllow(viewer, PETSC_TRUE);CHKERRQ(ierr);
189     ierr = PetscViewerASCIIPrintf(viewer, "\
190 \\documentclass[crop,multi=false]{standalone}\n\n\
191 \\usepackage{tikz}\n\
192 \\usepackage{pgflibraryshapes}\n\
193 \\usetikzlibrary{backgrounds}\n\
194 \\usetikzlibrary{arrows}\n\
195 \\begin{document}\n\
196 \\section{%s}\n\
197 \\begin{center}\n", name, 8.0/scale);CHKERRQ(ierr);
198     ierr = PetscViewerASCIIPrintf(viewer, "Mesh for process ");CHKERRQ(ierr);
199     for (p = 0; p < size; ++p) {
200       if (p > 0 && p == size-1) {
201         ierr = PetscViewerASCIIPrintf(viewer, ", and ", colors[p%numColors], p);CHKERRQ(ierr);
202       } else if (p > 0) {
203         ierr = PetscViewerASCIIPrintf(viewer, ", ", colors[p%numColors], p);CHKERRQ(ierr);
204       }
205       ierr = PetscViewerASCIIPrintf(viewer, "{\\textcolor{%s}%D}", colors[p%numColors], p);CHKERRQ(ierr);
206     }
207     ierr = PetscViewerASCIIPrintf(viewer, ".\n\n\n\
208 \\begin{tikzpicture}[scale = %g,font=\\fontsize{8}{8}\\selectfont]\n");CHKERRQ(ierr);
209     /* Plot vertices */
210     ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
211     ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
212     ierr = PetscViewerASCIIPrintf(viewer, "\\path\n");CHKERRQ(ierr);
213     for (v = vStart; v < vEnd; ++v) {
214       PetscInt off, dof, d;
215 
216       ierr = PetscSectionGetDof(coordSection, v, &dof);CHKERRQ(ierr);
217       ierr = PetscSectionGetOffset(coordSection, v, &off);CHKERRQ(ierr);
218       ierr = PetscViewerASCIISynchronizedPrintf(viewer, "(");CHKERRQ(ierr);
219       for (d = 0; d < dof; ++d) {
220         if (d > 0) {ierr = PetscViewerASCIISynchronizedPrintf(viewer, ",");CHKERRQ(ierr);}
221         ierr = PetscViewerASCIISynchronizedPrintf(viewer, "%G", scale*PetscRealPart(coords[off+d]));CHKERRQ(ierr);
222       }
223       ierr = PetscViewerASCIISynchronizedPrintf(viewer, ") node(%D_%D) [draw,shape=circle,color=%s] {%D} --\n", v, rank, colors[rank%numColors], v);CHKERRQ(ierr);
224     }
225     ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
226     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
227     ierr = PetscViewerASCIIPrintf(viewer, "(0,0);\n");CHKERRQ(ierr);
228     /* Plot edges */
229     ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
230     ierr = PetscViewerASCIIPrintf(viewer, "\\path\n");CHKERRQ(ierr);
231     if (depth > 1) {ierr = DMPlexGetDepthStratum(dm, 1, &eStart, &eEnd);CHKERRQ(ierr);}
232     for (e = eStart; e < eEnd; ++e) {
233       const PetscInt *cone;
234       PetscInt        coneSize, offA, offB, dof, d;
235 
236       ierr = DMPlexGetConeSize(dm, e, &coneSize);CHKERRQ(ierr);
237       if (coneSize != 2) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Edge %d cone should have two vertices, not %d", e, coneSize);
238       ierr = DMPlexGetCone(dm, e, &cone);CHKERRQ(ierr);
239       ierr = PetscSectionGetDof(coordSection, cone[0], &dof);CHKERRQ(ierr);
240       ierr = PetscSectionGetOffset(coordSection, cone[0], &offA);CHKERRQ(ierr);
241       ierr = PetscSectionGetOffset(coordSection, cone[1], &offB);CHKERRQ(ierr);
242       ierr = PetscViewerASCIISynchronizedPrintf(viewer, "(");CHKERRQ(ierr);
243       for (d = 0; d < dof; ++d) {
244         if (d > 0) {ierr = PetscViewerASCIISynchronizedPrintf(viewer, ",");CHKERRQ(ierr);}
245         ierr = PetscViewerASCIISynchronizedPrintf(viewer, "%G", scale*0.5*PetscRealPart(coords[offA+d]+coords[offB+d]));CHKERRQ(ierr);
246       }
247       ierr = PetscViewerASCIISynchronizedPrintf(viewer, ") node(%D_%D) [draw,shape=circle,color=%s] {%D} --\n", e, rank, colors[rank%numColors], e);CHKERRQ(ierr);
248     }
249     ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
250     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
251     ierr = PetscViewerASCIIPrintf(viewer, "(0,0);\n");CHKERRQ(ierr);
252     /* Plot cells */
253     ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
254     for (c = cStart; c < cEnd; ++c) {
255       PetscInt *closure = NULL;
256       PetscInt  closureSize, firstPoint = -1;
257 
258       ierr = DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
259       ierr = PetscViewerASCIISynchronizedPrintf(viewer, "\\draw[color=%s] ", colors[rank%numColors]);CHKERRQ(ierr);
260       for (p = 0; p < closureSize*2; p += 2) {
261         const PetscInt point = closure[p];
262 
263         if ((point < vStart) || (point >= vEnd)) continue;
264         if (firstPoint >= 0) {ierr = PetscViewerASCIISynchronizedPrintf(viewer, " -- ");CHKERRQ(ierr);}
265         ierr = PetscViewerASCIISynchronizedPrintf(viewer, "(%D_%D)", point, rank);CHKERRQ(ierr);
266         if (firstPoint < 0) firstPoint = point;
267       }
268       /* Why doesn't this work? ierr = PetscViewerASCIISynchronizedPrintf(viewer, " -- cycle;\n");CHKERRQ(ierr); */
269       ierr = PetscViewerASCIISynchronizedPrintf(viewer, " -- (%D_%D);\n", firstPoint, rank);CHKERRQ(ierr);
270       ierr = DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
271     }
272     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
273     ierr = PetscViewerASCIIPrintf(viewer, "\\end{tikzpicture}\n\\end{center}\n");CHKERRQ(ierr);
274     ierr = PetscViewerASCIIPrintf(viewer, "\\end{document}\n", name);CHKERRQ(ierr);
275   } else {
276     MPI_Comm    comm;
277     PetscInt   *sizes;
278     PetscInt    locDepth, depth, dim, d;
279     PetscInt    pStart, pEnd, p;
280     PetscInt    numLabels, l;
281     PetscMPIInt size;
282 
283     ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
284     ierr = MPI_Comm_size(comm, &size);CHKERRQ(ierr);
285     ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
286     ierr = PetscViewerASCIIPrintf(viewer, "Mesh in %D dimensions:\n", dim);CHKERRQ(ierr);
287     ierr = DMPlexGetDepth(dm, &locDepth);CHKERRQ(ierr);
288     ierr = MPI_Allreduce(&locDepth, &depth, 1, MPIU_INT, MPI_MAX, comm);CHKERRQ(ierr);
289     ierr = PetscMalloc(size * sizeof(PetscInt), &sizes);CHKERRQ(ierr);
290     if (depth == 1) {
291       ierr = DMPlexGetDepthStratum(dm, 0, &pStart, &pEnd);CHKERRQ(ierr);
292       pEnd = pEnd - pStart;
293       ierr = MPI_Gather(&pEnd, 1, MPIU_INT, sizes, 1, MPIU_INT, 0, comm);CHKERRQ(ierr);
294       ierr = PetscViewerASCIIPrintf(viewer, "  %D-cells:", 0);CHKERRQ(ierr);
295       for (p = 0; p < size; ++p) {ierr = PetscViewerASCIIPrintf(viewer, " %D", sizes[p]);CHKERRQ(ierr);}
296       ierr = PetscViewerASCIIPrintf(viewer, "\n");CHKERRQ(ierr);
297       ierr = DMPlexGetHeightStratum(dm, 0, &pStart, &pEnd);CHKERRQ(ierr);
298       pEnd = pEnd - pStart;
299       ierr = MPI_Gather(&pEnd, 1, MPIU_INT, sizes, 1, MPIU_INT, 0, comm);CHKERRQ(ierr);
300       ierr = PetscViewerASCIIPrintf(viewer, "  %D-cells:", dim);CHKERRQ(ierr);
301       for (p = 0; p < size; ++p) {ierr = PetscViewerASCIIPrintf(viewer, " %D", sizes[p]);CHKERRQ(ierr);}
302       ierr = PetscViewerASCIIPrintf(viewer, "\n");CHKERRQ(ierr);
303     } else {
304       for (d = 0; d <= dim; d++) {
305         ierr = DMPlexGetDepthStratum(dm, d, &pStart, &pEnd);CHKERRQ(ierr);
306         pEnd = pEnd - pStart;
307         ierr = MPI_Gather(&pEnd, 1, MPIU_INT, sizes, 1, MPIU_INT, 0, comm);CHKERRQ(ierr);
308         ierr = PetscViewerASCIIPrintf(viewer, "  %D-cells:", d);CHKERRQ(ierr);
309         for (p = 0; p < size; ++p) {ierr = PetscViewerASCIIPrintf(viewer, " %D", sizes[p]);CHKERRQ(ierr);}
310         ierr = PetscViewerASCIIPrintf(viewer, "\n");CHKERRQ(ierr);
311       }
312     }
313     ierr = PetscFree(sizes);CHKERRQ(ierr);
314     ierr = DMPlexGetNumLabels(dm, &numLabels);CHKERRQ(ierr);
315     if (numLabels) {ierr = PetscViewerASCIIPrintf(viewer, "Labels:\n");CHKERRQ(ierr);}
316     for (l = 0; l < numLabels; ++l) {
317       DMLabel         label;
318       const char     *name;
319       IS              valueIS;
320       const PetscInt *values;
321       PetscInt        numValues, v;
322 
323       ierr = DMPlexGetLabelName(dm, l, &name);CHKERRQ(ierr);
324       ierr = DMPlexGetLabel(dm, name, &label);CHKERRQ(ierr);
325       ierr = DMLabelGetNumValues(label, &numValues);CHKERRQ(ierr);
326       ierr = PetscViewerASCIIPrintf(viewer, "  %s: %d strata of sizes (", name, numValues);CHKERRQ(ierr);
327       ierr = DMLabelGetValueIS(label, &valueIS);CHKERRQ(ierr);
328       ierr = ISGetIndices(valueIS, &values);CHKERRQ(ierr);
329       for (v = 0; v < numValues; ++v) {
330         PetscInt size;
331 
332         ierr = DMLabelGetStratumSize(label, values[v], &size);CHKERRQ(ierr);
333         if (v > 0) {ierr = PetscViewerASCIIPrintf(viewer, ", ");CHKERRQ(ierr);}
334         ierr = PetscViewerASCIIPrintf(viewer, "%d", size);CHKERRQ(ierr);
335       }
336       ierr = PetscViewerASCIIPrintf(viewer, ")\n");CHKERRQ(ierr);
337       ierr = ISRestoreIndices(valueIS, &values);CHKERRQ(ierr);
338       ierr = ISDestroy(&valueIS);CHKERRQ(ierr);
339     }
340   }
341   PetscFunctionReturn(0);
342 }
343 
344 #undef __FUNCT__
345 #define __FUNCT__ "DMView_Plex"
346 PetscErrorCode DMView_Plex(DM dm, PetscViewer viewer)
347 {
348   PetscBool      iascii, isbinary;
349   PetscErrorCode ierr;
350 
351   PetscFunctionBegin;
352   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
353   PetscValidHeaderSpecific(viewer, PETSC_VIEWER_CLASSID, 2);
354   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERASCII, &iascii);CHKERRQ(ierr);
355   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERBINARY, &isbinary);CHKERRQ(ierr);
356   if (iascii) {
357     ierr = DMPlexView_Ascii(dm, viewer);CHKERRQ(ierr);
358 #if 0
359   } else if (isbinary) {
360     ierr = DMPlexView_Binary(dm, viewer);CHKERRQ(ierr);
361 #endif
362   }
363   PetscFunctionReturn(0);
364 }
365 
366 #undef __FUNCT__
367 #define __FUNCT__ "DMDestroy_Plex"
368 PetscErrorCode DMDestroy_Plex(DM dm)
369 {
370   DM_Plex       *mesh = (DM_Plex*) dm->data;
371   DMLabel        next  = mesh->labels;
372   PetscErrorCode ierr;
373 
374   PetscFunctionBegin;
375   if (--mesh->refct > 0) PetscFunctionReturn(0);
376   ierr = PetscSectionDestroy(&mesh->coneSection);CHKERRQ(ierr);
377   ierr = PetscFree(mesh->cones);CHKERRQ(ierr);
378   ierr = PetscFree(mesh->coneOrientations);CHKERRQ(ierr);
379   ierr = PetscSectionDestroy(&mesh->supportSection);CHKERRQ(ierr);
380   ierr = PetscFree(mesh->supports);CHKERRQ(ierr);
381   ierr = PetscFree(mesh->facesTmp);CHKERRQ(ierr);
382   while (next) {
383     DMLabel tmp = next->next;
384 
385     ierr = DMLabelDestroy(&next);CHKERRQ(ierr);
386     next = tmp;
387   }
388   ierr = DMLabelDestroy(&mesh->subpointMap);CHKERRQ(ierr);
389   ierr = ISDestroy(&mesh->globalVertexNumbers);CHKERRQ(ierr);
390   ierr = ISDestroy(&mesh->globalCellNumbers);CHKERRQ(ierr);
391   /* This was originally freed in DMDestroy(), but that prevents reference counting of backend objects */
392   ierr = PetscFree(mesh);CHKERRQ(ierr);
393   PetscFunctionReturn(0);
394 }
395 
396 #undef __FUNCT__
397 #define __FUNCT__ "DMCreateMatrix_Plex"
398 PetscErrorCode DMCreateMatrix_Plex(DM dm, MatType mtype, Mat *J)
399 {
400   PetscSection   section, sectionGlobal;
401   PetscInt       bs = -1;
402   PetscInt       localSize;
403   PetscBool      isShell, isBlock, isSeqBlock, isMPIBlock, isSymBlock, isSymSeqBlock, isSymMPIBlock, isSymmetric;
404   PetscErrorCode ierr;
405 
406   PetscFunctionBegin;
407 #if !defined(PETSC_USE_DYNAMIC_LIBRARIES)
408   ierr = MatInitializePackage(NULL);CHKERRQ(ierr);
409 #endif
410   if (!mtype) mtype = MATAIJ;
411   ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);
412   ierr = DMGetDefaultGlobalSection(dm, &sectionGlobal);CHKERRQ(ierr);
413   /* ierr = PetscSectionGetStorageSize(sectionGlobal, &localSize);CHKERRQ(ierr); */
414   ierr = PetscSectionGetConstrainedStorageSize(sectionGlobal, &localSize);CHKERRQ(ierr);
415   ierr = MatCreate(PetscObjectComm((PetscObject)dm), J);CHKERRQ(ierr);
416   ierr = MatSetSizes(*J, localSize, localSize, PETSC_DETERMINE, PETSC_DETERMINE);CHKERRQ(ierr);
417   ierr = MatSetType(*J, mtype);CHKERRQ(ierr);
418   ierr = MatSetFromOptions(*J);CHKERRQ(ierr);
419   ierr = PetscStrcmp(mtype, MATSHELL, &isShell);CHKERRQ(ierr);
420   ierr = PetscStrcmp(mtype, MATBAIJ, &isBlock);CHKERRQ(ierr);
421   ierr = PetscStrcmp(mtype, MATSEQBAIJ, &isSeqBlock);CHKERRQ(ierr);
422   ierr = PetscStrcmp(mtype, MATMPIBAIJ, &isMPIBlock);CHKERRQ(ierr);
423   ierr = PetscStrcmp(mtype, MATSBAIJ, &isSymBlock);CHKERRQ(ierr);
424   ierr = PetscStrcmp(mtype, MATSEQSBAIJ, &isSymSeqBlock);CHKERRQ(ierr);
425   ierr = PetscStrcmp(mtype, MATMPISBAIJ, &isSymMPIBlock);CHKERRQ(ierr);
426   /* Check for symmetric storage */
427   isSymmetric = (PetscBool) (isSymBlock || isSymSeqBlock || isSymMPIBlock);
428   if (isSymmetric) {
429     ierr = MatSetOption(*J, MAT_IGNORE_LOWER_TRIANGULAR, PETSC_TRUE);CHKERRQ(ierr);
430   }
431   if (!isShell) {
432     PetscBool fillMatrix = (PetscBool) !dm->prealloc_only;
433     PetscInt *dnz, *onz, *dnzu, *onzu, bsLocal, bsMax, bsMin;
434 
435     if (bs < 0) {
436       if (isBlock || isSeqBlock || isMPIBlock || isSymBlock || isSymSeqBlock || isSymMPIBlock) {
437         PetscInt pStart, pEnd, p, dof, cdof;
438 
439         ierr = PetscSectionGetChart(sectionGlobal, &pStart, &pEnd);CHKERRQ(ierr);
440         for (p = pStart; p < pEnd; ++p) {
441           ierr = PetscSectionGetDof(sectionGlobal, p, &dof);CHKERRQ(ierr);
442           ierr = PetscSectionGetConstraintDof(sectionGlobal, p, &cdof);CHKERRQ(ierr);
443           if (dof-cdof) {
444             if (bs < 0) {
445               bs = dof-cdof;
446             } else if (bs != dof-cdof) {
447               /* Layout does not admit a pointwise block size */
448               bs = 1;
449               break;
450             }
451           }
452         }
453         /* Must have same blocksize on all procs (some might have no points) */
454         bsLocal = bs;
455         ierr = MPI_Allreduce(&bsLocal, &bsMax, 1, MPIU_INT, MPI_MAX, PetscObjectComm((PetscObject)dm));CHKERRQ(ierr);
456         bsLocal = bs < 0 ? bsMax : bs;
457         ierr = MPI_Allreduce(&bsLocal, &bsMin, 1, MPIU_INT, MPI_MIN, PetscObjectComm((PetscObject)dm));CHKERRQ(ierr);
458         if (bsMin != bsMax) {
459           bs = 1;
460         } else {
461           bs = bsMax;
462         }
463       } else {
464         bs = 1;
465       }
466     }
467     ierr = PetscMalloc4(localSize/bs, PetscInt, &dnz, localSize/bs, PetscInt, &onz, localSize/bs, PetscInt, &dnzu, localSize/bs, PetscInt, &onzu);CHKERRQ(ierr);
468     ierr = PetscMemzero(dnz,  localSize/bs * sizeof(PetscInt));CHKERRQ(ierr);
469     ierr = PetscMemzero(onz,  localSize/bs * sizeof(PetscInt));CHKERRQ(ierr);
470     ierr = PetscMemzero(dnzu, localSize/bs * sizeof(PetscInt));CHKERRQ(ierr);
471     ierr = PetscMemzero(onzu, localSize/bs * sizeof(PetscInt));CHKERRQ(ierr);
472     ierr = DMPlexPreallocateOperator(dm, bs, section, sectionGlobal, dnz, onz, dnzu, onzu, *J, fillMatrix);CHKERRQ(ierr);
473     ierr = PetscFree4(dnz, onz, dnzu, onzu);CHKERRQ(ierr);
474   }
475   PetscFunctionReturn(0);
476 }
477 
478 #undef __FUNCT__
479 #define __FUNCT__ "DMPlexGetDimension"
480 /*@
481   DMPlexGetDimension - Return the topological mesh dimension
482 
483   Not collective
484 
485   Input Parameter:
486 . mesh - The DMPlex
487 
488   Output Parameter:
489 . dim - The topological mesh dimension
490 
491   Level: beginner
492 
493 .seealso: DMPlexCreate()
494 @*/
495 PetscErrorCode DMPlexGetDimension(DM dm, PetscInt *dim)
496 {
497   DM_Plex *mesh = (DM_Plex*) dm->data;
498 
499   PetscFunctionBegin;
500   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
501   PetscValidPointer(dim, 2);
502   *dim = mesh->dim;
503   PetscFunctionReturn(0);
504 }
505 
506 #undef __FUNCT__
507 #define __FUNCT__ "DMPlexSetDimension"
508 /*@
509   DMPlexSetDimension - Set the topological mesh dimension
510 
511   Collective on mesh
512 
513   Input Parameters:
514 + mesh - The DMPlex
515 - dim - The topological mesh dimension
516 
517   Level: beginner
518 
519 .seealso: DMPlexCreate()
520 @*/
521 PetscErrorCode DMPlexSetDimension(DM dm, PetscInt dim)
522 {
523   DM_Plex *mesh = (DM_Plex*) dm->data;
524 
525   PetscFunctionBegin;
526   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
527   PetscValidLogicalCollectiveInt(dm, dim, 2);
528   mesh->dim               = dim;
529   mesh->preallocCenterDim = dim;
530   PetscFunctionReturn(0);
531 }
532 
533 #undef __FUNCT__
534 #define __FUNCT__ "DMPlexGetChart"
535 /*@
536   DMPlexGetChart - Return the interval for all mesh points [pStart, pEnd)
537 
538   Not collective
539 
540   Input Parameter:
541 . mesh - The DMPlex
542 
543   Output Parameters:
544 + pStart - The first mesh point
545 - pEnd   - The upper bound for mesh points
546 
547   Level: beginner
548 
549 .seealso: DMPlexCreate(), DMPlexSetChart()
550 @*/
551 PetscErrorCode DMPlexGetChart(DM dm, PetscInt *pStart, PetscInt *pEnd)
552 {
553   DM_Plex       *mesh = (DM_Plex*) dm->data;
554   PetscErrorCode ierr;
555 
556   PetscFunctionBegin;
557   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
558   ierr = PetscSectionGetChart(mesh->coneSection, pStart, pEnd);CHKERRQ(ierr);
559   PetscFunctionReturn(0);
560 }
561 
562 #undef __FUNCT__
563 #define __FUNCT__ "DMPlexSetChart"
564 /*@
565   DMPlexSetChart - Set the interval for all mesh points [pStart, pEnd)
566 
567   Not collective
568 
569   Input Parameters:
570 + mesh - The DMPlex
571 . pStart - The first mesh point
572 - pEnd   - The upper bound for mesh points
573 
574   Output Parameters:
575 
576   Level: beginner
577 
578 .seealso: DMPlexCreate(), DMPlexGetChart()
579 @*/
580 PetscErrorCode DMPlexSetChart(DM dm, PetscInt pStart, PetscInt pEnd)
581 {
582   DM_Plex       *mesh = (DM_Plex*) dm->data;
583   PetscErrorCode ierr;
584 
585   PetscFunctionBegin;
586   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
587   ierr = PetscSectionSetChart(mesh->coneSection, pStart, pEnd);CHKERRQ(ierr);
588   ierr = PetscSectionSetChart(mesh->supportSection, pStart, pEnd);CHKERRQ(ierr);
589   PetscFunctionReturn(0);
590 }
591 
592 #undef __FUNCT__
593 #define __FUNCT__ "DMPlexGetConeSize"
594 /*@
595   DMPlexGetConeSize - Return the number of in-edges for this point in the Sieve DAG
596 
597   Not collective
598 
599   Input Parameters:
600 + mesh - The DMPlex
601 - p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
602 
603   Output Parameter:
604 . size - The cone size for point p
605 
606   Level: beginner
607 
608 .seealso: DMPlexCreate(), DMPlexSetConeSize(), DMPlexSetChart()
609 @*/
610 PetscErrorCode DMPlexGetConeSize(DM dm, PetscInt p, PetscInt *size)
611 {
612   DM_Plex       *mesh = (DM_Plex*) dm->data;
613   PetscErrorCode ierr;
614 
615   PetscFunctionBegin;
616   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
617   PetscValidPointer(size, 3);
618   ierr = PetscSectionGetDof(mesh->coneSection, p, size);CHKERRQ(ierr);
619   PetscFunctionReturn(0);
620 }
621 
622 #undef __FUNCT__
623 #define __FUNCT__ "DMPlexSetConeSize"
624 /*@
625   DMPlexSetConeSize - Set the number of in-edges for this point in the Sieve DAG
626 
627   Not collective
628 
629   Input Parameters:
630 + mesh - The DMPlex
631 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
632 - size - The cone size for point p
633 
634   Output Parameter:
635 
636   Note:
637   This should be called after DMPlexSetChart().
638 
639   Level: beginner
640 
641 .seealso: DMPlexCreate(), DMPlexGetConeSize(), DMPlexSetChart()
642 @*/
643 PetscErrorCode DMPlexSetConeSize(DM dm, PetscInt p, PetscInt size)
644 {
645   DM_Plex       *mesh = (DM_Plex*) dm->data;
646   PetscErrorCode ierr;
647 
648   PetscFunctionBegin;
649   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
650   ierr = PetscSectionSetDof(mesh->coneSection, p, size);CHKERRQ(ierr);
651 
652   mesh->maxConeSize = PetscMax(mesh->maxConeSize, size);
653   PetscFunctionReturn(0);
654 }
655 
656 #undef __FUNCT__
657 #define __FUNCT__ "DMPlexGetCone"
658 /*@C
659   DMPlexGetCone - Return the points on the in-edges for this point in the Sieve DAG
660 
661   Not collective
662 
663   Input Parameters:
664 + mesh - The DMPlex
665 - p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
666 
667   Output Parameter:
668 . cone - An array of points which are on the in-edges for point p
669 
670   Level: beginner
671 
672   Fortran Notes:
673   Since it returns an array, this routine is only available in Fortran 90, and you must
674   include petsc.h90 in your code.
675 
676   You must also call DMPlexRestoreCone() after you finish using the returned array.
677 
678 .seealso: DMPlexCreate(), DMPlexSetCone(), DMPlexSetChart()
679 @*/
680 PetscErrorCode DMPlexGetCone(DM dm, PetscInt p, const PetscInt *cone[])
681 {
682   DM_Plex       *mesh = (DM_Plex*) dm->data;
683   PetscInt       off;
684   PetscErrorCode ierr;
685 
686   PetscFunctionBegin;
687   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
688   PetscValidPointer(cone, 3);
689   ierr  = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
690   *cone = &mesh->cones[off];
691   PetscFunctionReturn(0);
692 }
693 
694 #undef __FUNCT__
695 #define __FUNCT__ "DMPlexSetCone"
696 /*@
697   DMPlexSetCone - Set the points on the in-edges for this point in the Sieve DAG
698 
699   Not collective
700 
701   Input Parameters:
702 + mesh - The DMPlex
703 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
704 - cone - An array of points which are on the in-edges for point p
705 
706   Output Parameter:
707 
708   Note:
709   This should be called after all calls to DMPlexSetConeSize() and DMSetUp().
710 
711   Level: beginner
712 
713 .seealso: DMPlexCreate(), DMPlexGetCone(), DMPlexSetChart(), DMPlexSetConeSize(), DMSetUp()
714 @*/
715 PetscErrorCode DMPlexSetCone(DM dm, PetscInt p, const PetscInt cone[])
716 {
717   DM_Plex       *mesh = (DM_Plex*) dm->data;
718   PetscInt       pStart, pEnd;
719   PetscInt       dof, off, c;
720   PetscErrorCode ierr;
721 
722   PetscFunctionBegin;
723   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
724   ierr = PetscSectionGetChart(mesh->coneSection, &pStart, &pEnd);CHKERRQ(ierr);
725   ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
726   if (dof) PetscValidPointer(cone, 3);
727   ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
728   if ((p < pStart) || (p >= pEnd)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Mesh point %D is not in the valid range [%D, %D)", p, pStart, pEnd);
729   for (c = 0; c < dof; ++c) {
730     if ((cone[c] < pStart) || (cone[c] >= pEnd)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Cone point %D is not in the valid range [%D, %D)", cone[c], pStart, pEnd);
731     mesh->cones[off+c] = cone[c];
732   }
733   PetscFunctionReturn(0);
734 }
735 
736 #undef __FUNCT__
737 #define __FUNCT__ "DMPlexGetConeOrientation"
738 /*@C
739   DMPlexGetConeOrientation - Return the orientations on the in-edges for this point in the Sieve DAG
740 
741   Not collective
742 
743   Input Parameters:
744 + mesh - The DMPlex
745 - p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
746 
747   Output Parameter:
748 . coneOrientation - An array of orientations which are on the in-edges for point p. An orientation is an
749                     integer giving the prescription for cone traversal. If it is negative, the cone is
750                     traversed in the opposite direction. Its value 'o', or if negative '-(o+1)', gives
751                     the index of the cone point on which to start.
752 
753   Level: beginner
754 
755   Fortran Notes:
756   Since it returns an array, this routine is only available in Fortran 90, and you must
757   include petsc.h90 in your code.
758 
759   You must also call DMPlexRestoreConeOrientation() after you finish using the returned array.
760 
761 .seealso: DMPlexCreate(), DMPlexGetCone(), DMPlexSetCone(), DMPlexSetChart()
762 @*/
763 PetscErrorCode DMPlexGetConeOrientation(DM dm, PetscInt p, const PetscInt *coneOrientation[])
764 {
765   DM_Plex       *mesh = (DM_Plex*) dm->data;
766   PetscInt       off;
767   PetscErrorCode ierr;
768 
769   PetscFunctionBegin;
770   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
771 #if defined(PETSC_USE_DEBUG)
772   {
773     PetscInt dof;
774     ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
775     if (dof) PetscValidPointer(coneOrientation, 3);
776   }
777 #endif
778   ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
779 
780   *coneOrientation = &mesh->coneOrientations[off];
781   PetscFunctionReturn(0);
782 }
783 
784 #undef __FUNCT__
785 #define __FUNCT__ "DMPlexSetConeOrientation"
786 /*@
787   DMPlexSetConeOrientation - Set the orientations on the in-edges for this point in the Sieve DAG
788 
789   Not collective
790 
791   Input Parameters:
792 + mesh - The DMPlex
793 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
794 - coneOrientation - An array of orientations which are on the in-edges for point p. An orientation is an
795                     integer giving the prescription for cone traversal. If it is negative, the cone is
796                     traversed in the opposite direction. Its value 'o', or if negative '-(o+1)', gives
797                     the index of the cone point on which to start.
798 
799   Output Parameter:
800 
801   Note:
802   This should be called after all calls to DMPlexSetConeSize() and DMSetUp().
803 
804   Level: beginner
805 
806 .seealso: DMPlexCreate(), DMPlexGetConeOrientation(), DMPlexSetCone(), DMPlexSetChart(), DMPlexSetConeSize(), DMSetUp()
807 @*/
808 PetscErrorCode DMPlexSetConeOrientation(DM dm, PetscInt p, const PetscInt coneOrientation[])
809 {
810   DM_Plex       *mesh = (DM_Plex*) dm->data;
811   PetscInt       pStart, pEnd;
812   PetscInt       dof, off, c;
813   PetscErrorCode ierr;
814 
815   PetscFunctionBegin;
816   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
817   ierr = PetscSectionGetChart(mesh->coneSection, &pStart, &pEnd);CHKERRQ(ierr);
818   ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
819   if (dof) PetscValidPointer(coneOrientation, 3);
820   ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
821   if ((p < pStart) || (p >= pEnd)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Mesh point %D is not in the valid range [%D, %D)", p, pStart, pEnd);
822   for (c = 0; c < dof; ++c) {
823     PetscInt cdof, o = coneOrientation[c];
824 
825     ierr = PetscSectionGetDof(mesh->coneSection, mesh->cones[off+c], &cdof);CHKERRQ(ierr);
826     if (o && ((o < -(cdof+1)) || (o >= cdof))) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Cone orientation %D is not in the valid range [%D. %D)", o, -(cdof+1), cdof);
827     mesh->coneOrientations[off+c] = o;
828   }
829   PetscFunctionReturn(0);
830 }
831 
832 #undef __FUNCT__
833 #define __FUNCT__ "DMPlexInsertCone"
834 PetscErrorCode DMPlexInsertCone(DM dm, PetscInt p, PetscInt conePos, PetscInt conePoint)
835 {
836   DM_Plex       *mesh = (DM_Plex*) dm->data;
837   PetscInt       pStart, pEnd;
838   PetscInt       dof, off;
839   PetscErrorCode ierr;
840 
841   PetscFunctionBegin;
842   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
843   ierr = PetscSectionGetChart(mesh->coneSection, &pStart, &pEnd);CHKERRQ(ierr);
844   if ((p < pStart) || (p >= pEnd)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Mesh point %D is not in the valid range [%D, %D)", p, pStart, pEnd);
845   if ((conePoint < pStart) || (conePoint >= pEnd)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Cone point %D is not in the valid range [%D, %D)", conePoint, pStart, pEnd);
846   ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
847   ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
848   if ((conePos < 0) || (conePos >= dof)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Cone position %D of point %D is not in the valid range [0, %D)", conePos, p, dof);
849   mesh->cones[off+conePos] = conePoint;
850   PetscFunctionReturn(0);
851 }
852 
853 #undef __FUNCT__
854 #define __FUNCT__ "DMPlexInsertConeOrientation"
855 PetscErrorCode DMPlexInsertConeOrientation(DM dm, PetscInt p, PetscInt conePos, PetscInt coneOrientation)
856 {
857   DM_Plex       *mesh = (DM_Plex*) dm->data;
858   PetscInt       pStart, pEnd;
859   PetscInt       dof, off;
860   PetscErrorCode ierr;
861 
862   PetscFunctionBegin;
863   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
864   ierr = PetscSectionGetChart(mesh->coneSection, &pStart, &pEnd);CHKERRQ(ierr);
865   if ((p < pStart) || (p >= pEnd)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Mesh point %D is not in the valid range [%D, %D)", p, pStart, pEnd);
866   ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
867   ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
868   if ((conePos < 0) || (conePos >= dof)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Cone position %D of point %D is not in the valid range [0, %D)", conePos, p, dof);
869   mesh->coneOrientations[off+conePos] = coneOrientation;
870   PetscFunctionReturn(0);
871 }
872 
873 #undef __FUNCT__
874 #define __FUNCT__ "DMPlexGetSupportSize"
875 /*@
876   DMPlexGetSupportSize - Return the number of out-edges for this point in the Sieve DAG
877 
878   Not collective
879 
880   Input Parameters:
881 + mesh - The DMPlex
882 - p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
883 
884   Output Parameter:
885 . size - The support size for point p
886 
887   Level: beginner
888 
889 .seealso: DMPlexCreate(), DMPlexSetConeSize(), DMPlexSetChart(), DMPlexGetConeSize()
890 @*/
891 PetscErrorCode DMPlexGetSupportSize(DM dm, PetscInt p, PetscInt *size)
892 {
893   DM_Plex       *mesh = (DM_Plex*) dm->data;
894   PetscErrorCode ierr;
895 
896   PetscFunctionBegin;
897   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
898   PetscValidPointer(size, 3);
899   ierr = PetscSectionGetDof(mesh->supportSection, p, size);CHKERRQ(ierr);
900   PetscFunctionReturn(0);
901 }
902 
903 #undef __FUNCT__
904 #define __FUNCT__ "DMPlexSetSupportSize"
905 /*@
906   DMPlexSetSupportSize - Set the number of out-edges for this point in the Sieve DAG
907 
908   Not collective
909 
910   Input Parameters:
911 + mesh - The DMPlex
912 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
913 - size - The support size for point p
914 
915   Output Parameter:
916 
917   Note:
918   This should be called after DMPlexSetChart().
919 
920   Level: beginner
921 
922 .seealso: DMPlexCreate(), DMPlexGetSupportSize(), DMPlexSetChart()
923 @*/
924 PetscErrorCode DMPlexSetSupportSize(DM dm, PetscInt p, PetscInt size)
925 {
926   DM_Plex       *mesh = (DM_Plex*) dm->data;
927   PetscErrorCode ierr;
928 
929   PetscFunctionBegin;
930   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
931   ierr = PetscSectionSetDof(mesh->supportSection, p, size);CHKERRQ(ierr);
932 
933   mesh->maxSupportSize = PetscMax(mesh->maxSupportSize, size);
934   PetscFunctionReturn(0);
935 }
936 
937 #undef __FUNCT__
938 #define __FUNCT__ "DMPlexGetSupport"
939 /*@C
940   DMPlexGetSupport - Return the points on the out-edges for this point in the Sieve DAG
941 
942   Not collective
943 
944   Input Parameters:
945 + mesh - The DMPlex
946 - p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
947 
948   Output Parameter:
949 . support - An array of points which are on the out-edges for point p
950 
951   Level: beginner
952 
953   Fortran Notes:
954   Since it returns an array, this routine is only available in Fortran 90, and you must
955   include petsc.h90 in your code.
956 
957   You must also call DMPlexRestoreSupport() after you finish using the returned array.
958 
959 .seealso: DMPlexCreate(), DMPlexSetCone(), DMPlexSetChart(), DMPlexGetCone()
960 @*/
961 PetscErrorCode DMPlexGetSupport(DM dm, PetscInt p, const PetscInt *support[])
962 {
963   DM_Plex       *mesh = (DM_Plex*) dm->data;
964   PetscInt       off;
965   PetscErrorCode ierr;
966 
967   PetscFunctionBegin;
968   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
969   PetscValidPointer(support, 3);
970   ierr     = PetscSectionGetOffset(mesh->supportSection, p, &off);CHKERRQ(ierr);
971   *support = &mesh->supports[off];
972   PetscFunctionReturn(0);
973 }
974 
975 #undef __FUNCT__
976 #define __FUNCT__ "DMPlexSetSupport"
977 /*@
978   DMPlexSetSupport - Set the points on the out-edges for this point in the Sieve DAG
979 
980   Not collective
981 
982   Input Parameters:
983 + mesh - The DMPlex
984 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
985 - support - An array of points which are on the in-edges for point p
986 
987   Output Parameter:
988 
989   Note:
990   This should be called after all calls to DMPlexSetSupportSize() and DMSetUp().
991 
992   Level: beginner
993 
994 .seealso: DMPlexCreate(), DMPlexGetSupport(), DMPlexSetChart(), DMPlexSetSupportSize(), DMSetUp()
995 @*/
996 PetscErrorCode DMPlexSetSupport(DM dm, PetscInt p, const PetscInt support[])
997 {
998   DM_Plex       *mesh = (DM_Plex*) dm->data;
999   PetscInt       pStart, pEnd;
1000   PetscInt       dof, off, c;
1001   PetscErrorCode ierr;
1002 
1003   PetscFunctionBegin;
1004   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1005   ierr = PetscSectionGetChart(mesh->supportSection, &pStart, &pEnd);CHKERRQ(ierr);
1006   ierr = PetscSectionGetDof(mesh->supportSection, p, &dof);CHKERRQ(ierr);
1007   if (dof) PetscValidPointer(support, 3);
1008   ierr = PetscSectionGetOffset(mesh->supportSection, p, &off);CHKERRQ(ierr);
1009   if ((p < pStart) || (p >= pEnd)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Mesh point %D is not in the valid range [%D, %D)", p, pStart, pEnd);
1010   for (c = 0; c < dof; ++c) {
1011     if ((support[c] < pStart) || (support[c] >= pEnd)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Support point %D is not in the valid range [%D, %D)", support[c], pStart, pEnd);
1012     mesh->supports[off+c] = support[c];
1013   }
1014   PetscFunctionReturn(0);
1015 }
1016 
1017 #undef __FUNCT__
1018 #define __FUNCT__ "DMPlexInsertSupport"
1019 PetscErrorCode DMPlexInsertSupport(DM dm, PetscInt p, PetscInt supportPos, PetscInt supportPoint)
1020 {
1021   DM_Plex       *mesh = (DM_Plex*) dm->data;
1022   PetscInt       pStart, pEnd;
1023   PetscInt       dof, off;
1024   PetscErrorCode ierr;
1025 
1026   PetscFunctionBegin;
1027   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1028   ierr = PetscSectionGetChart(mesh->supportSection, &pStart, &pEnd);CHKERRQ(ierr);
1029   ierr = PetscSectionGetDof(mesh->supportSection, p, &dof);CHKERRQ(ierr);
1030   ierr = PetscSectionGetOffset(mesh->supportSection, p, &off);CHKERRQ(ierr);
1031   if ((p < pStart) || (p >= pEnd)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Mesh point %D is not in the valid range [%D, %D)", p, pStart, pEnd);
1032   if ((supportPoint < pStart) || (supportPoint >= pEnd)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Support point %D is not in the valid range [%D, %D)", supportPoint, pStart, pEnd);
1033   if (supportPos >= dof) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Support position %D of point %D is not in the valid range [0, %D)", supportPos, p, dof);
1034   mesh->supports[off+supportPos] = supportPoint;
1035   PetscFunctionReturn(0);
1036 }
1037 
1038 #undef __FUNCT__
1039 #define __FUNCT__ "DMPlexGetTransitiveClosure"
1040 /*@C
1041   DMPlexGetTransitiveClosure - Return the points on the transitive closure of the in-edges or out-edges for this point in the Sieve DAG
1042 
1043   Not collective
1044 
1045   Input Parameters:
1046 + mesh - The DMPlex
1047 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
1048 . useCone - PETSC_TRUE for in-edges,  otherwise use out-edges
1049 - points - If points is NULL on input, internal storage will be returned, otherwise the provided array is used
1050 
1051   Output Parameters:
1052 + numPoints - The number of points in the closure, so points[] is of size 2*numPoints
1053 - points - The points and point orientations, interleaved as pairs [p0, o0, p1, o1, ...]
1054 
1055   Note:
1056   If using internal storage (points is NULL on input), each call overwrites the last output.
1057 
1058   Fortran Notes:
1059   Since it returns an array, this routine is only available in Fortran 90, and you must
1060   include petsc.h90 in your code.
1061 
1062   The numPoints argument is not present in the Fortran 90 binding since it is internal to the array.
1063 
1064   Level: beginner
1065 
1066 .seealso: DMPlexRestoreTransitiveClosure(), DMPlexCreate(), DMPlexSetCone(), DMPlexSetChart(), DMPlexGetCone()
1067 @*/
1068 PetscErrorCode DMPlexGetTransitiveClosure(DM dm, PetscInt p, PetscBool useCone, PetscInt *numPoints, PetscInt *points[])
1069 {
1070   DM_Plex        *mesh = (DM_Plex*) dm->data;
1071   PetscInt       *closure, *fifo;
1072   const PetscInt *tmp = NULL, *tmpO = NULL;
1073   PetscInt        tmpSize, t;
1074   PetscInt        depth       = 0, maxSize;
1075   PetscInt        closureSize = 2, fifoSize = 0, fifoStart = 0;
1076   PetscErrorCode  ierr;
1077 
1078   PetscFunctionBegin;
1079   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1080   ierr    = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
1081   maxSize = 2*PetscMax(PetscMax(PetscPowInt(mesh->maxConeSize,depth),PetscPowInt(mesh->maxSupportSize,depth)),depth) + 2;
1082   ierr    = DMGetWorkArray(dm, maxSize, PETSC_INT, &fifo);CHKERRQ(ierr);
1083   if (*points) {
1084     closure = *points;
1085   } else {
1086     ierr = DMGetWorkArray(dm, maxSize, PETSC_INT, &closure);CHKERRQ(ierr);
1087   }
1088   closure[0] = p; closure[1] = 0;
1089   /* This is only 1-level */
1090   if (useCone) {
1091     ierr = DMPlexGetConeSize(dm, p, &tmpSize);CHKERRQ(ierr);
1092     ierr = DMPlexGetCone(dm, p, &tmp);CHKERRQ(ierr);
1093     ierr = DMPlexGetConeOrientation(dm, p, &tmpO);CHKERRQ(ierr);
1094   } else {
1095     ierr = DMPlexGetSupportSize(dm, p, &tmpSize);CHKERRQ(ierr);
1096     ierr = DMPlexGetSupport(dm, p, &tmp);CHKERRQ(ierr);
1097   }
1098   for (t = 0; t < tmpSize; ++t, closureSize += 2, fifoSize += 2) {
1099     const PetscInt cp = tmp[t];
1100     const PetscInt co = tmpO ? tmpO[t] : 0;
1101 
1102     closure[closureSize]   = cp;
1103     closure[closureSize+1] = co;
1104     fifo[fifoSize]         = cp;
1105     fifo[fifoSize+1]       = co;
1106   }
1107   while (fifoSize - fifoStart) {
1108     const PetscInt q   = fifo[fifoStart];
1109     const PetscInt o   = fifo[fifoStart+1];
1110     const PetscInt rev = o >= 0 ? 0 : 1;
1111     const PetscInt off = rev ? -(o+1) : o;
1112 
1113     if (useCone) {
1114       ierr = DMPlexGetConeSize(dm, q, &tmpSize);CHKERRQ(ierr);
1115       ierr = DMPlexGetCone(dm, q, &tmp);CHKERRQ(ierr);
1116       ierr = DMPlexGetConeOrientation(dm, q, &tmpO);CHKERRQ(ierr);
1117     } else {
1118       ierr = DMPlexGetSupportSize(dm, q, &tmpSize);CHKERRQ(ierr);
1119       ierr = DMPlexGetSupport(dm, q, &tmp);CHKERRQ(ierr);
1120       tmpO = NULL;
1121     }
1122     for (t = 0; t < tmpSize; ++t) {
1123       const PetscInt i  = ((rev ? tmpSize-t : t) + off)%tmpSize;
1124       const PetscInt cp = tmp[i];
1125       /* Must propogate orientation: When we reverse orientation, we both reverse the direction of iteration and start at the other end of the chain. */
1126       /* HACK: It is worse to get the size here, than to change the interpretation of -(*+1)
1127        const PetscInt co = tmpO ? (rev ? -(tmpO[i]+1) : tmpO[i]) : 0; */
1128       PetscInt       co = tmpO ? tmpO[i] : 0;
1129       PetscInt       c;
1130 
1131       if (rev) {
1132         PetscInt childSize, coff;
1133         ierr = DMPlexGetConeSize(dm, cp, &childSize);CHKERRQ(ierr);
1134         coff = tmpO[i] < 0 ? -(tmpO[i]+1) : tmpO[i];
1135         co   = childSize ? -(((coff+childSize-1)%childSize)+1) : 0;
1136       }
1137       /* Check for duplicate */
1138       for (c = 0; c < closureSize; c += 2) {
1139         if (closure[c] == cp) break;
1140       }
1141       if (c == closureSize) {
1142         closure[closureSize]   = cp;
1143         closure[closureSize+1] = co;
1144         fifo[fifoSize]         = cp;
1145         fifo[fifoSize+1]       = co;
1146         closureSize           += 2;
1147         fifoSize              += 2;
1148       }
1149     }
1150     fifoStart += 2;
1151   }
1152   if (numPoints) *numPoints = closureSize/2;
1153   if (points)    *points    = closure;
1154   ierr = DMRestoreWorkArray(dm, maxSize, PETSC_INT, &fifo);CHKERRQ(ierr);
1155   PetscFunctionReturn(0);
1156 }
1157 
1158 #undef __FUNCT__
1159 #define __FUNCT__ "DMPlexRestoreTransitiveClosure"
1160 /*@C
1161   DMPlexRestoreTransitiveClosure - Restore the array of points on the transitive closure of the in-edges or out-edges for this point in the Sieve DAG
1162 
1163   Not collective
1164 
1165   Input Parameters:
1166 + mesh - The DMPlex
1167 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
1168 . useCone - PETSC_TRUE for in-edges,  otherwise use out-edges
1169 - points - If points is NULL on input, internal storage will be returned, otherwise the provided array is used
1170 
1171   Output Parameters:
1172 + numPoints - The number of points in the closure, so points[] is of size 2*numPoints
1173 - points - The points and point orientations, interleaved as pairs [p0, o0, p1, o1, ...]
1174 
1175   Note:
1176   If not using internal storage (points is not NULL on input), this call is unnecessary
1177 
1178   Fortran Notes:
1179   Since it returns an array, this routine is only available in Fortran 90, and you must
1180   include petsc.h90 in your code.
1181 
1182   The numPoints argument is not present in the Fortran 90 binding since it is internal to the array.
1183 
1184   Level: beginner
1185 
1186 .seealso: DMPlexGetTransitiveClosure(), DMPlexCreate(), DMPlexSetCone(), DMPlexSetChart(), DMPlexGetCone()
1187 @*/
1188 PetscErrorCode DMPlexRestoreTransitiveClosure(DM dm, PetscInt p, PetscBool useCone, PetscInt *numPoints, PetscInt *points[])
1189 {
1190   PetscErrorCode ierr;
1191 
1192   PetscFunctionBegin;
1193   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1194   ierr = DMRestoreWorkArray(dm, 0, PETSC_INT, points);CHKERRQ(ierr);
1195   PetscFunctionReturn(0);
1196 }
1197 
1198 #undef __FUNCT__
1199 #define __FUNCT__ "DMPlexGetMaxSizes"
1200 /*@
1201   DMPlexGetMaxSizes - Return the maximum number of in-edges (cone) and out-edges (support) for any point in the Sieve DAG
1202 
1203   Not collective
1204 
1205   Input Parameter:
1206 . mesh - The DMPlex
1207 
1208   Output Parameters:
1209 + maxConeSize - The maximum number of in-edges
1210 - maxSupportSize - The maximum number of out-edges
1211 
1212   Level: beginner
1213 
1214 .seealso: DMPlexCreate(), DMPlexSetConeSize(), DMPlexSetChart()
1215 @*/
1216 PetscErrorCode DMPlexGetMaxSizes(DM dm, PetscInt *maxConeSize, PetscInt *maxSupportSize)
1217 {
1218   DM_Plex *mesh = (DM_Plex*) dm->data;
1219 
1220   PetscFunctionBegin;
1221   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1222   if (maxConeSize)    *maxConeSize    = mesh->maxConeSize;
1223   if (maxSupportSize) *maxSupportSize = mesh->maxSupportSize;
1224   PetscFunctionReturn(0);
1225 }
1226 
1227 #undef __FUNCT__
1228 #define __FUNCT__ "DMSetUp_Plex"
1229 PetscErrorCode DMSetUp_Plex(DM dm)
1230 {
1231   DM_Plex       *mesh = (DM_Plex*) dm->data;
1232   PetscInt       size;
1233   PetscErrorCode ierr;
1234 
1235   PetscFunctionBegin;
1236   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1237   ierr = PetscSectionSetUp(mesh->coneSection);CHKERRQ(ierr);
1238   ierr = PetscSectionGetStorageSize(mesh->coneSection, &size);CHKERRQ(ierr);
1239   ierr = PetscMalloc(size * sizeof(PetscInt), &mesh->cones);CHKERRQ(ierr);
1240   ierr = PetscMalloc(size * sizeof(PetscInt), &mesh->coneOrientations);CHKERRQ(ierr);
1241   ierr = PetscMemzero(mesh->coneOrientations, size * sizeof(PetscInt));CHKERRQ(ierr);
1242   if (mesh->maxSupportSize) {
1243     ierr = PetscSectionSetUp(mesh->supportSection);CHKERRQ(ierr);
1244     ierr = PetscSectionGetStorageSize(mesh->supportSection, &size);CHKERRQ(ierr);
1245     ierr = PetscMalloc(size * sizeof(PetscInt), &mesh->supports);CHKERRQ(ierr);
1246   }
1247   PetscFunctionReturn(0);
1248 }
1249 
1250 #undef __FUNCT__
1251 #define __FUNCT__ "DMCreateSubDM_Plex"
1252 PetscErrorCode DMCreateSubDM_Plex(DM dm, PetscInt numFields, PetscInt fields[], IS *is, DM *subdm)
1253 {
1254   PetscSection   section, sectionGlobal;
1255   PetscInt      *subIndices;
1256   PetscInt       subSize = 0, subOff = 0, nF, f, pStart, pEnd, p;
1257   PetscErrorCode ierr;
1258 
1259   PetscFunctionBegin;
1260   if (!numFields) PetscFunctionReturn(0);
1261   ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);
1262   ierr = DMGetDefaultGlobalSection(dm, &sectionGlobal);CHKERRQ(ierr);
1263   if (!section) SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Must set default section for DMPlex before splitting fields");
1264   if (!sectionGlobal) SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Must set default global section for DMPlex before splitting fields");
1265   ierr = PetscSectionGetNumFields(section, &nF);CHKERRQ(ierr);
1266   if (numFields > nF) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Number of requested fields %d greater than number of DM fields %d", numFields, nF);
1267   ierr = PetscSectionGetChart(sectionGlobal, &pStart, &pEnd);CHKERRQ(ierr);
1268   for (p = pStart; p < pEnd; ++p) {
1269     PetscInt gdof;
1270 
1271     ierr = PetscSectionGetDof(sectionGlobal, p, &gdof);CHKERRQ(ierr);
1272     if (gdof > 0) {
1273       for (f = 0; f < numFields; ++f) {
1274         PetscInt fdof, fcdof;
1275 
1276         ierr     = PetscSectionGetFieldDof(section, p, fields[f], &fdof);CHKERRQ(ierr);
1277         ierr     = PetscSectionGetFieldConstraintDof(section, p, fields[f], &fcdof);CHKERRQ(ierr);
1278         subSize += fdof-fcdof;
1279       }
1280     }
1281   }
1282   ierr = PetscMalloc(subSize * sizeof(PetscInt), &subIndices);CHKERRQ(ierr);
1283   for (p = pStart; p < pEnd; ++p) {
1284     PetscInt gdof, goff;
1285 
1286     ierr = PetscSectionGetDof(sectionGlobal, p, &gdof);CHKERRQ(ierr);
1287     if (gdof > 0) {
1288       ierr = PetscSectionGetOffset(sectionGlobal, p, &goff);CHKERRQ(ierr);
1289       for (f = 0; f < numFields; ++f) {
1290         PetscInt fdof, fcdof, fc, f2, poff = 0;
1291 
1292         /* Can get rid of this loop by storing field information in the global section */
1293         for (f2 = 0; f2 < fields[f]; ++f2) {
1294           ierr  = PetscSectionGetFieldDof(section, p, f2, &fdof);CHKERRQ(ierr);
1295           ierr  = PetscSectionGetFieldConstraintDof(section, p, f2, &fcdof);CHKERRQ(ierr);
1296           poff += fdof-fcdof;
1297         }
1298         ierr = PetscSectionGetFieldDof(section, p, fields[f], &fdof);CHKERRQ(ierr);
1299         ierr = PetscSectionGetFieldConstraintDof(section, p, fields[f], &fcdof);CHKERRQ(ierr);
1300         for (fc = 0; fc < fdof-fcdof; ++fc, ++subOff) {
1301           subIndices[subOff] = goff+poff+fc;
1302         }
1303       }
1304     }
1305   }
1306   if (is) {ierr = ISCreateGeneral(PetscObjectComm((PetscObject)dm), subSize, subIndices, PETSC_OWN_POINTER, is);CHKERRQ(ierr);}
1307   if (subdm) {
1308     PetscSection subsection;
1309     PetscBool    haveNull = PETSC_FALSE;
1310     PetscInt     f, nf = 0;
1311 
1312     ierr = DMPlexClone(dm, subdm);CHKERRQ(ierr);
1313     ierr = PetscSectionCreateSubsection(section, numFields, fields, &subsection);CHKERRQ(ierr);
1314     ierr = DMSetDefaultSection(*subdm, subsection);CHKERRQ(ierr);
1315     ierr = PetscSectionDestroy(&subsection);CHKERRQ(ierr);
1316     for (f = 0; f < numFields; ++f) {
1317       (*subdm)->nullspaceConstructors[f] = dm->nullspaceConstructors[fields[f]];
1318       if ((*subdm)->nullspaceConstructors[f]) {
1319         haveNull = PETSC_TRUE;
1320         nf       = f;
1321       }
1322     }
1323     if (haveNull) {
1324       MatNullSpace nullSpace;
1325 
1326       ierr = (*(*subdm)->nullspaceConstructors[nf])(*subdm, nf, &nullSpace);CHKERRQ(ierr);
1327       ierr = PetscObjectCompose((PetscObject) *is, "nullspace", (PetscObject) nullSpace);CHKERRQ(ierr);
1328       ierr = MatNullSpaceDestroy(&nullSpace);CHKERRQ(ierr);
1329     }
1330     if (dm->fields) {
1331       if (nF != dm->numFields) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "The number of DM fields %d does not match the number of Section fields %d", dm->numFields, nF);
1332       ierr = DMSetNumFields(*subdm, numFields);CHKERRQ(ierr);
1333       for (f = 0; f < numFields; ++f) {
1334         ierr = PetscObjectListDuplicate(dm->fields[fields[f]]->olist, &(*subdm)->fields[f]->olist);CHKERRQ(ierr);
1335       }
1336       if (numFields == 1) {
1337         MatNullSpace space;
1338         Mat          pmat;
1339 
1340         ierr = PetscObjectQuery((*subdm)->fields[0], "nullspace", (PetscObject*) &space);CHKERRQ(ierr);
1341         if (space) {ierr = PetscObjectCompose((PetscObject) *is, "nullspace", (PetscObject) space);CHKERRQ(ierr);}
1342         ierr = PetscObjectQuery((*subdm)->fields[0], "nearnullspace", (PetscObject*) &space);CHKERRQ(ierr);
1343         if (space) {ierr = PetscObjectCompose((PetscObject) *is, "nearnullspace", (PetscObject) space);CHKERRQ(ierr);}
1344         ierr = PetscObjectQuery((*subdm)->fields[0], "pmat", (PetscObject*) &pmat);CHKERRQ(ierr);
1345         if (pmat) {ierr = PetscObjectCompose((PetscObject) *is, "pmat", (PetscObject) pmat);CHKERRQ(ierr);}
1346       }
1347     }
1348   }
1349   PetscFunctionReturn(0);
1350 }
1351 
1352 #undef __FUNCT__
1353 #define __FUNCT__ "DMPlexSymmetrize"
1354 /*@
1355   DMPlexSymmetrize - Creates support (out-edge) information from cone (in-edge) inoformation
1356 
1357   Not collective
1358 
1359   Input Parameter:
1360 . mesh - The DMPlex
1361 
1362   Output Parameter:
1363 
1364   Note:
1365   This should be called after all calls to DMPlexSetCone()
1366 
1367   Level: beginner
1368 
1369 .seealso: DMPlexCreate(), DMPlexSetChart(), DMPlexSetConeSize(), DMPlexSetCone()
1370 @*/
1371 PetscErrorCode DMPlexSymmetrize(DM dm)
1372 {
1373   DM_Plex       *mesh = (DM_Plex*) dm->data;
1374   PetscInt      *offsets;
1375   PetscInt       supportSize;
1376   PetscInt       pStart, pEnd, p;
1377   PetscErrorCode ierr;
1378 
1379   PetscFunctionBegin;
1380   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1381   if (mesh->supports) SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONGSTATE, "Supports were already setup in this DMPlex");
1382   /* Calculate support sizes */
1383   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
1384   for (p = pStart; p < pEnd; ++p) {
1385     PetscInt dof, off, c;
1386 
1387     ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
1388     ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
1389     for (c = off; c < off+dof; ++c) {
1390       ierr = PetscSectionAddDof(mesh->supportSection, mesh->cones[c], 1);CHKERRQ(ierr);
1391     }
1392   }
1393   for (p = pStart; p < pEnd; ++p) {
1394     PetscInt dof;
1395 
1396     ierr = PetscSectionGetDof(mesh->supportSection, p, &dof);CHKERRQ(ierr);
1397 
1398     mesh->maxSupportSize = PetscMax(mesh->maxSupportSize, dof);
1399   }
1400   ierr = PetscSectionSetUp(mesh->supportSection);CHKERRQ(ierr);
1401   /* Calculate supports */
1402   ierr = PetscSectionGetStorageSize(mesh->supportSection, &supportSize);CHKERRQ(ierr);
1403   ierr = PetscMalloc(supportSize * sizeof(PetscInt), &mesh->supports);CHKERRQ(ierr);
1404   ierr = PetscMalloc((pEnd - pStart) * sizeof(PetscInt), &offsets);CHKERRQ(ierr);
1405   ierr = PetscMemzero(offsets, (pEnd - pStart) * sizeof(PetscInt));CHKERRQ(ierr);
1406   for (p = pStart; p < pEnd; ++p) {
1407     PetscInt dof, off, c;
1408 
1409     ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
1410     ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
1411     for (c = off; c < off+dof; ++c) {
1412       const PetscInt q = mesh->cones[c];
1413       PetscInt       offS;
1414 
1415       ierr = PetscSectionGetOffset(mesh->supportSection, q, &offS);CHKERRQ(ierr);
1416 
1417       mesh->supports[offS+offsets[q]] = p;
1418       ++offsets[q];
1419     }
1420   }
1421   ierr = PetscFree(offsets);CHKERRQ(ierr);
1422   PetscFunctionReturn(0);
1423 }
1424 
1425 #undef __FUNCT__
1426 #define __FUNCT__ "DMPlexSetDepth_Private"
1427 PetscErrorCode DMPlexSetDepth_Private(DM dm, PetscInt p, PetscInt *depth)
1428 {
1429   PetscInt       d;
1430   PetscErrorCode ierr;
1431 
1432   PetscFunctionBegin;
1433   ierr = DMPlexGetLabelValue(dm, "depth", p, &d);CHKERRQ(ierr);
1434   if (d < 0) {
1435     /* We are guaranteed that the point has a cone since the depth was not yet set */
1436     const PetscInt *cone = NULL;
1437     PetscInt        dCone;
1438 
1439     ierr = DMPlexGetCone(dm, p, &cone);CHKERRQ(ierr);
1440     ierr = DMPlexSetDepth_Private(dm, cone[0], &dCone);CHKERRQ(ierr);
1441     d    = dCone+1;
1442     ierr = DMPlexSetLabelValue(dm, "depth", p, d);CHKERRQ(ierr);
1443   }
1444   *depth = d;
1445   PetscFunctionReturn(0);
1446 }
1447 
1448 #undef __FUNCT__
1449 #define __FUNCT__ "DMPlexStratify"
1450 /*@
1451   DMPlexStratify - The Sieve DAG for most topologies is a graded poset (http://en.wikipedia.org/wiki/Graded_poset), and
1452   can be illustrated by Hasse Diagram (a http://en.wikipedia.org/wiki/Hasse_diagram). The strata group all points of the
1453   same grade, and this function calculates the strata. This grade can be seen as the height (or depth) of the point in
1454   the DAG.
1455 
1456   Not collective
1457 
1458   Input Parameter:
1459 . mesh - The DMPlex
1460 
1461   Output Parameter:
1462 
1463   Notes:
1464   The normal association for the point grade is element dimension (or co-dimension). For instance, all vertices would
1465   have depth 0, and all edges depth 1. Likewise, all cells heights would have height 0, and all faces height 1.
1466 
1467   This should be called after all calls to DMPlexSymmetrize()
1468 
1469   Level: beginner
1470 
1471 .seealso: DMPlexCreate(), DMPlexSymmetrize()
1472 @*/
1473 PetscErrorCode DMPlexStratify(DM dm)
1474 {
1475   DM_Plex       *mesh = (DM_Plex*) dm->data;
1476   PetscInt       pStart, pEnd, p;
1477   PetscInt       numRoots = 0, numLeaves = 0;
1478   PetscErrorCode ierr;
1479 
1480   PetscFunctionBegin;
1481   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1482   ierr = PetscLogEventBegin(DMPLEX_Stratify,dm,0,0,0);CHKERRQ(ierr);
1483   /* Calculate depth */
1484   ierr = PetscSectionGetChart(mesh->coneSection, &pStart, &pEnd);CHKERRQ(ierr);
1485   /* Initialize roots and count leaves */
1486   for (p = pStart; p < pEnd; ++p) {
1487     PetscInt coneSize, supportSize;
1488 
1489     ierr = DMPlexGetConeSize(dm, p, &coneSize);CHKERRQ(ierr);
1490     ierr = DMPlexGetSupportSize(dm, p, &supportSize);CHKERRQ(ierr);
1491     if (!coneSize && supportSize) {
1492       ++numRoots;
1493       ierr = DMPlexSetLabelValue(dm, "depth", p, 0);CHKERRQ(ierr);
1494     } else if (!supportSize && coneSize) {
1495       ++numLeaves;
1496     } else if (!supportSize && !coneSize) {
1497       /* Isolated points */
1498       ierr = DMPlexSetLabelValue(dm, "depth", p, 0);CHKERRQ(ierr);
1499     }
1500   }
1501   if (numRoots + numLeaves == (pEnd - pStart)) {
1502     for (p = pStart; p < pEnd; ++p) {
1503       PetscInt coneSize, supportSize;
1504 
1505       ierr = DMPlexGetConeSize(dm, p, &coneSize);CHKERRQ(ierr);
1506       ierr = DMPlexGetSupportSize(dm, p, &supportSize);CHKERRQ(ierr);
1507       if (!supportSize && coneSize) {
1508         ierr = DMPlexSetLabelValue(dm, "depth", p, 1);CHKERRQ(ierr);
1509       }
1510     }
1511   } else {
1512     /* This might be slow since lookup is not fast */
1513     for (p = pStart; p < pEnd; ++p) {
1514       PetscInt depth;
1515 
1516       ierr = DMPlexSetDepth_Private(dm, p, &depth);CHKERRQ(ierr);
1517     }
1518   }
1519   ierr = PetscLogEventEnd(DMPLEX_Stratify,dm,0,0,0);CHKERRQ(ierr);
1520   PetscFunctionReturn(0);
1521 }
1522 
1523 #undef __FUNCT__
1524 #define __FUNCT__ "DMPlexGetJoin"
1525 /*@C
1526   DMPlexGetJoin - Get an array for the join of the set of points
1527 
1528   Not Collective
1529 
1530   Input Parameters:
1531 + dm - The DMPlex object
1532 . numPoints - The number of input points for the join
1533 - points - The input points
1534 
1535   Output Parameters:
1536 + numCoveredPoints - The number of points in the join
1537 - coveredPoints - The points in the join
1538 
1539   Level: intermediate
1540 
1541   Note: Currently, this is restricted to a single level join
1542 
1543   Fortran Notes:
1544   Since it returns an array, this routine is only available in Fortran 90, and you must
1545   include petsc.h90 in your code.
1546 
1547   The numCoveredPoints argument is not present in the Fortran 90 binding since it is internal to the array.
1548 
1549 .keywords: mesh
1550 .seealso: DMPlexRestoreJoin(), DMPlexGetMeet()
1551 @*/
1552 PetscErrorCode DMPlexGetJoin(DM dm, PetscInt numPoints, const PetscInt points[], PetscInt *numCoveredPoints, const PetscInt **coveredPoints)
1553 {
1554   DM_Plex       *mesh = (DM_Plex*) dm->data;
1555   PetscInt      *join[2];
1556   PetscInt       joinSize, i = 0;
1557   PetscInt       dof, off, p, c, m;
1558   PetscErrorCode ierr;
1559 
1560   PetscFunctionBegin;
1561   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1562   PetscValidPointer(points, 2);
1563   PetscValidPointer(numCoveredPoints, 3);
1564   PetscValidPointer(coveredPoints, 4);
1565   ierr = DMGetWorkArray(dm, mesh->maxSupportSize, PETSC_INT, &join[0]);CHKERRQ(ierr);
1566   ierr = DMGetWorkArray(dm, mesh->maxSupportSize, PETSC_INT, &join[1]);CHKERRQ(ierr);
1567   /* Copy in support of first point */
1568   ierr = PetscSectionGetDof(mesh->supportSection, points[0], &dof);CHKERRQ(ierr);
1569   ierr = PetscSectionGetOffset(mesh->supportSection, points[0], &off);CHKERRQ(ierr);
1570   for (joinSize = 0; joinSize < dof; ++joinSize) {
1571     join[i][joinSize] = mesh->supports[off+joinSize];
1572   }
1573   /* Check each successive support */
1574   for (p = 1; p < numPoints; ++p) {
1575     PetscInt newJoinSize = 0;
1576 
1577     ierr = PetscSectionGetDof(mesh->supportSection, points[p], &dof);CHKERRQ(ierr);
1578     ierr = PetscSectionGetOffset(mesh->supportSection, points[p], &off);CHKERRQ(ierr);
1579     for (c = 0; c < dof; ++c) {
1580       const PetscInt point = mesh->supports[off+c];
1581 
1582       for (m = 0; m < joinSize; ++m) {
1583         if (point == join[i][m]) {
1584           join[1-i][newJoinSize++] = point;
1585           break;
1586         }
1587       }
1588     }
1589     joinSize = newJoinSize;
1590     i        = 1-i;
1591   }
1592   *numCoveredPoints = joinSize;
1593   *coveredPoints    = join[i];
1594   ierr              = DMRestoreWorkArray(dm, mesh->maxSupportSize, PETSC_INT, &join[1-i]);CHKERRQ(ierr);
1595   PetscFunctionReturn(0);
1596 }
1597 
1598 #undef __FUNCT__
1599 #define __FUNCT__ "DMPlexRestoreJoin"
1600 /*@C
1601   DMPlexRestoreJoin - Restore an array for the join of the set of points
1602 
1603   Not Collective
1604 
1605   Input Parameters:
1606 + dm - The DMPlex object
1607 . numPoints - The number of input points for the join
1608 - points - The input points
1609 
1610   Output Parameters:
1611 + numCoveredPoints - The number of points in the join
1612 - coveredPoints - The points in the join
1613 
1614   Fortran Notes:
1615   Since it returns an array, this routine is only available in Fortran 90, and you must
1616   include petsc.h90 in your code.
1617 
1618   The numCoveredPoints argument is not present in the Fortran 90 binding since it is internal to the array.
1619 
1620   Level: intermediate
1621 
1622 .keywords: mesh
1623 .seealso: DMPlexGetJoin(), DMPlexGetFullJoin(), DMPlexGetMeet()
1624 @*/
1625 PetscErrorCode DMPlexRestoreJoin(DM dm, PetscInt numPoints, const PetscInt points[], PetscInt *numCoveredPoints, const PetscInt **coveredPoints)
1626 {
1627   PetscErrorCode ierr;
1628 
1629   PetscFunctionBegin;
1630   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1631   PetscValidPointer(coveredPoints, 4);
1632   ierr = DMRestoreWorkArray(dm, 0, PETSC_INT, (void*) coveredPoints);CHKERRQ(ierr);
1633   PetscFunctionReturn(0);
1634 }
1635 
1636 #undef __FUNCT__
1637 #define __FUNCT__ "DMPlexGetFullJoin"
1638 /*@C
1639   DMPlexGetFullJoin - Get an array for the join of the set of points
1640 
1641   Not Collective
1642 
1643   Input Parameters:
1644 + dm - The DMPlex object
1645 . numPoints - The number of input points for the join
1646 - points - The input points
1647 
1648   Output Parameters:
1649 + numCoveredPoints - The number of points in the join
1650 - coveredPoints - The points in the join
1651 
1652   Fortran Notes:
1653   Since it returns an array, this routine is only available in Fortran 90, and you must
1654   include petsc.h90 in your code.
1655 
1656   The numCoveredPoints argument is not present in the Fortran 90 binding since it is internal to the array.
1657 
1658   Level: intermediate
1659 
1660 .keywords: mesh
1661 .seealso: DMPlexGetJoin(), DMPlexRestoreJoin(), DMPlexGetMeet()
1662 @*/
1663 PetscErrorCode DMPlexGetFullJoin(DM dm, PetscInt numPoints, const PetscInt points[], PetscInt *numCoveredPoints, const PetscInt **coveredPoints)
1664 {
1665   DM_Plex       *mesh = (DM_Plex*) dm->data;
1666   PetscInt      *offsets, **closures;
1667   PetscInt      *join[2];
1668   PetscInt       depth = 0, maxSize, joinSize = 0, i = 0;
1669   PetscInt       p, d, c, m;
1670   PetscErrorCode ierr;
1671 
1672   PetscFunctionBegin;
1673   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1674   PetscValidPointer(points, 2);
1675   PetscValidPointer(numCoveredPoints, 3);
1676   PetscValidPointer(coveredPoints, 4);
1677 
1678   ierr    = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
1679   ierr    = PetscMalloc(numPoints * sizeof(PetscInt*), &closures);CHKERRQ(ierr);
1680   ierr    = PetscMemzero(closures,numPoints*sizeof(PetscInt*));CHKERRQ(ierr);
1681   ierr    = DMGetWorkArray(dm, numPoints*(depth+2), PETSC_INT, &offsets);CHKERRQ(ierr);
1682   maxSize = PetscPowInt(mesh->maxSupportSize,depth);
1683   ierr    = DMGetWorkArray(dm, maxSize, PETSC_INT, &join[0]);CHKERRQ(ierr);
1684   ierr    = DMGetWorkArray(dm, maxSize, PETSC_INT, &join[1]);CHKERRQ(ierr);
1685 
1686   for (p = 0; p < numPoints; ++p) {
1687     PetscInt closureSize;
1688 
1689     ierr = DMPlexGetTransitiveClosure(dm, points[p], PETSC_FALSE, &closureSize, &closures[p]);CHKERRQ(ierr);
1690 
1691     offsets[p*(depth+2)+0] = 0;
1692     for (d = 0; d < depth+1; ++d) {
1693       PetscInt pStart, pEnd, i;
1694 
1695       ierr = DMPlexGetDepthStratum(dm, d, &pStart, &pEnd);CHKERRQ(ierr);
1696       for (i = offsets[p*(depth+2)+d]; i < closureSize; ++i) {
1697         if ((pStart > closures[p][i*2]) || (pEnd <= closures[p][i*2])) {
1698           offsets[p*(depth+2)+d+1] = i;
1699           break;
1700         }
1701       }
1702       if (i == closureSize) offsets[p*(depth+2)+d+1] = i;
1703     }
1704     if (offsets[p*(depth+2)+depth+1] != closureSize) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Total size of closure %D should be %D", offsets[p*(depth+2)+depth+1], closureSize);
1705   }
1706   for (d = 0; d < depth+1; ++d) {
1707     PetscInt dof;
1708 
1709     /* Copy in support of first point */
1710     dof = offsets[d+1] - offsets[d];
1711     for (joinSize = 0; joinSize < dof; ++joinSize) {
1712       join[i][joinSize] = closures[0][(offsets[d]+joinSize)*2];
1713     }
1714     /* Check each successive cone */
1715     for (p = 1; p < numPoints && joinSize; ++p) {
1716       PetscInt newJoinSize = 0;
1717 
1718       dof = offsets[p*(depth+2)+d+1] - offsets[p*(depth+2)+d];
1719       for (c = 0; c < dof; ++c) {
1720         const PetscInt point = closures[p][(offsets[p*(depth+2)+d]+c)*2];
1721 
1722         for (m = 0; m < joinSize; ++m) {
1723           if (point == join[i][m]) {
1724             join[1-i][newJoinSize++] = point;
1725             break;
1726           }
1727         }
1728       }
1729       joinSize = newJoinSize;
1730       i        = 1-i;
1731     }
1732     if (joinSize) break;
1733   }
1734   *numCoveredPoints = joinSize;
1735   *coveredPoints    = join[i];
1736   for (p = 0; p < numPoints; ++p) {
1737     ierr = DMPlexRestoreTransitiveClosure(dm, points[p], PETSC_FALSE, NULL, &closures[p]);CHKERRQ(ierr);
1738   }
1739   ierr = PetscFree(closures);CHKERRQ(ierr);
1740   ierr = DMRestoreWorkArray(dm, numPoints*(depth+2), PETSC_INT, &offsets);CHKERRQ(ierr);
1741   ierr = DMRestoreWorkArray(dm, mesh->maxSupportSize, PETSC_INT, &join[1-i]);CHKERRQ(ierr);
1742   PetscFunctionReturn(0);
1743 }
1744 
1745 #undef __FUNCT__
1746 #define __FUNCT__ "DMPlexGetMeet"
1747 /*@C
1748   DMPlexGetMeet - Get an array for the meet of the set of points
1749 
1750   Not Collective
1751 
1752   Input Parameters:
1753 + dm - The DMPlex object
1754 . numPoints - The number of input points for the meet
1755 - points - The input points
1756 
1757   Output Parameters:
1758 + numCoveredPoints - The number of points in the meet
1759 - coveredPoints - The points in the meet
1760 
1761   Level: intermediate
1762 
1763   Note: Currently, this is restricted to a single level meet
1764 
1765   Fortran Notes:
1766   Since it returns an array, this routine is only available in Fortran 90, and you must
1767   include petsc.h90 in your code.
1768 
1769   The numCoveredPoints argument is not present in the Fortran 90 binding since it is internal to the array.
1770 
1771 .keywords: mesh
1772 .seealso: DMPlexRestoreMeet(), DMPlexGetJoin()
1773 @*/
1774 PetscErrorCode DMPlexGetMeet(DM dm, PetscInt numPoints, const PetscInt points[], PetscInt *numCoveringPoints, const PetscInt **coveringPoints)
1775 {
1776   DM_Plex       *mesh = (DM_Plex*) dm->data;
1777   PetscInt      *meet[2];
1778   PetscInt       meetSize, i = 0;
1779   PetscInt       dof, off, p, c, m;
1780   PetscErrorCode ierr;
1781 
1782   PetscFunctionBegin;
1783   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1784   PetscValidPointer(points, 2);
1785   PetscValidPointer(numCoveringPoints, 3);
1786   PetscValidPointer(coveringPoints, 4);
1787   ierr = DMGetWorkArray(dm, mesh->maxConeSize, PETSC_INT, &meet[0]);CHKERRQ(ierr);
1788   ierr = DMGetWorkArray(dm, mesh->maxConeSize, PETSC_INT, &meet[1]);CHKERRQ(ierr);
1789   /* Copy in cone of first point */
1790   ierr = PetscSectionGetDof(mesh->coneSection, points[0], &dof);CHKERRQ(ierr);
1791   ierr = PetscSectionGetOffset(mesh->coneSection, points[0], &off);CHKERRQ(ierr);
1792   for (meetSize = 0; meetSize < dof; ++meetSize) {
1793     meet[i][meetSize] = mesh->cones[off+meetSize];
1794   }
1795   /* Check each successive cone */
1796   for (p = 1; p < numPoints; ++p) {
1797     PetscInt newMeetSize = 0;
1798 
1799     ierr = PetscSectionGetDof(mesh->coneSection, points[p], &dof);CHKERRQ(ierr);
1800     ierr = PetscSectionGetOffset(mesh->coneSection, points[p], &off);CHKERRQ(ierr);
1801     for (c = 0; c < dof; ++c) {
1802       const PetscInt point = mesh->cones[off+c];
1803 
1804       for (m = 0; m < meetSize; ++m) {
1805         if (point == meet[i][m]) {
1806           meet[1-i][newMeetSize++] = point;
1807           break;
1808         }
1809       }
1810     }
1811     meetSize = newMeetSize;
1812     i        = 1-i;
1813   }
1814   *numCoveringPoints = meetSize;
1815   *coveringPoints    = meet[i];
1816   ierr               = DMRestoreWorkArray(dm, mesh->maxConeSize, PETSC_INT, &meet[1-i]);CHKERRQ(ierr);
1817   PetscFunctionReturn(0);
1818 }
1819 
1820 #undef __FUNCT__
1821 #define __FUNCT__ "DMPlexRestoreMeet"
1822 /*@C
1823   DMPlexRestoreMeet - Restore an array for the meet of the set of points
1824 
1825   Not Collective
1826 
1827   Input Parameters:
1828 + dm - The DMPlex object
1829 . numPoints - The number of input points for the meet
1830 - points - The input points
1831 
1832   Output Parameters:
1833 + numCoveredPoints - The number of points in the meet
1834 - coveredPoints - The points in the meet
1835 
1836   Level: intermediate
1837 
1838   Fortran Notes:
1839   Since it returns an array, this routine is only available in Fortran 90, and you must
1840   include petsc.h90 in your code.
1841 
1842   The numCoveredPoints argument is not present in the Fortran 90 binding since it is internal to the array.
1843 
1844 .keywords: mesh
1845 .seealso: DMPlexGetMeet(), DMPlexGetFullMeet(), DMPlexGetJoin()
1846 @*/
1847 PetscErrorCode DMPlexRestoreMeet(DM dm, PetscInt numPoints, const PetscInt points[], PetscInt *numCoveredPoints, const PetscInt **coveredPoints)
1848 {
1849   PetscErrorCode ierr;
1850 
1851   PetscFunctionBegin;
1852   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1853   PetscValidPointer(coveredPoints, 4);
1854   ierr = DMRestoreWorkArray(dm, 0, PETSC_INT, (void*) coveredPoints);CHKERRQ(ierr);
1855   PetscFunctionReturn(0);
1856 }
1857 
1858 #undef __FUNCT__
1859 #define __FUNCT__ "DMPlexGetFullMeet"
1860 /*@C
1861   DMPlexGetFullMeet - Get an array for the meet of the set of points
1862 
1863   Not Collective
1864 
1865   Input Parameters:
1866 + dm - The DMPlex object
1867 . numPoints - The number of input points for the meet
1868 - points - The input points
1869 
1870   Output Parameters:
1871 + numCoveredPoints - The number of points in the meet
1872 - coveredPoints - The points in the meet
1873 
1874   Level: intermediate
1875 
1876   Fortran Notes:
1877   Since it returns an array, this routine is only available in Fortran 90, and you must
1878   include petsc.h90 in your code.
1879 
1880   The numCoveredPoints argument is not present in the Fortran 90 binding since it is internal to the array.
1881 
1882 .keywords: mesh
1883 .seealso: DMPlexGetMeet(), DMPlexRestoreMeet(), DMPlexGetJoin()
1884 @*/
1885 PetscErrorCode DMPlexGetFullMeet(DM dm, PetscInt numPoints, const PetscInt points[], PetscInt *numCoveredPoints, const PetscInt **coveredPoints)
1886 {
1887   DM_Plex       *mesh = (DM_Plex*) dm->data;
1888   PetscInt      *offsets, **closures;
1889   PetscInt      *meet[2];
1890   PetscInt       height = 0, maxSize, meetSize = 0, i = 0;
1891   PetscInt       p, h, c, m;
1892   PetscErrorCode ierr;
1893 
1894   PetscFunctionBegin;
1895   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1896   PetscValidPointer(points, 2);
1897   PetscValidPointer(numCoveredPoints, 3);
1898   PetscValidPointer(coveredPoints, 4);
1899 
1900   ierr    = DMPlexGetDepth(dm, &height);CHKERRQ(ierr);
1901   ierr    = PetscMalloc(numPoints * sizeof(PetscInt*), &closures);CHKERRQ(ierr);
1902   ierr    = DMGetWorkArray(dm, numPoints*(height+2), PETSC_INT, &offsets);CHKERRQ(ierr);
1903   maxSize = PetscPowInt(mesh->maxConeSize,height);
1904   ierr    = DMGetWorkArray(dm, maxSize, PETSC_INT, &meet[0]);CHKERRQ(ierr);
1905   ierr    = DMGetWorkArray(dm, maxSize, PETSC_INT, &meet[1]);CHKERRQ(ierr);
1906 
1907   for (p = 0; p < numPoints; ++p) {
1908     PetscInt closureSize;
1909 
1910     ierr = DMPlexGetTransitiveClosure(dm, points[p], PETSC_TRUE, &closureSize, &closures[p]);CHKERRQ(ierr);
1911 
1912     offsets[p*(height+2)+0] = 0;
1913     for (h = 0; h < height+1; ++h) {
1914       PetscInt pStart, pEnd, i;
1915 
1916       ierr = DMPlexGetHeightStratum(dm, h, &pStart, &pEnd);CHKERRQ(ierr);
1917       for (i = offsets[p*(height+2)+h]; i < closureSize; ++i) {
1918         if ((pStart > closures[p][i*2]) || (pEnd <= closures[p][i*2])) {
1919           offsets[p*(height+2)+h+1] = i;
1920           break;
1921         }
1922       }
1923       if (i == closureSize) offsets[p*(height+2)+h+1] = i;
1924     }
1925     if (offsets[p*(height+2)+height+1] != closureSize) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Total size of closure %D should be %D", offsets[p*(height+2)+height+1], closureSize);
1926   }
1927   for (h = 0; h < height+1; ++h) {
1928     PetscInt dof;
1929 
1930     /* Copy in cone of first point */
1931     dof = offsets[h+1] - offsets[h];
1932     for (meetSize = 0; meetSize < dof; ++meetSize) {
1933       meet[i][meetSize] = closures[0][(offsets[h]+meetSize)*2];
1934     }
1935     /* Check each successive cone */
1936     for (p = 1; p < numPoints && meetSize; ++p) {
1937       PetscInt newMeetSize = 0;
1938 
1939       dof = offsets[p*(height+2)+h+1] - offsets[p*(height+2)+h];
1940       for (c = 0; c < dof; ++c) {
1941         const PetscInt point = closures[p][(offsets[p*(height+2)+h]+c)*2];
1942 
1943         for (m = 0; m < meetSize; ++m) {
1944           if (point == meet[i][m]) {
1945             meet[1-i][newMeetSize++] = point;
1946             break;
1947           }
1948         }
1949       }
1950       meetSize = newMeetSize;
1951       i        = 1-i;
1952     }
1953     if (meetSize) break;
1954   }
1955   *numCoveredPoints = meetSize;
1956   *coveredPoints    = meet[i];
1957   for (p = 0; p < numPoints; ++p) {
1958     ierr = DMPlexRestoreTransitiveClosure(dm, points[p], PETSC_TRUE, NULL, &closures[p]);CHKERRQ(ierr);
1959   }
1960   ierr = PetscFree(closures);CHKERRQ(ierr);
1961   ierr = DMRestoreWorkArray(dm, numPoints*(height+2), PETSC_INT, &offsets);CHKERRQ(ierr);
1962   ierr = DMRestoreWorkArray(dm, mesh->maxConeSize, PETSC_INT, &meet[1-i]);CHKERRQ(ierr);
1963   PetscFunctionReturn(0);
1964 }
1965 
1966 #undef __FUNCT__
1967 #define __FUNCT__ "DMPlexGetNumFaceVertices_Internal"
1968 PetscErrorCode DMPlexGetNumFaceVertices_Internal(DM dm, PetscInt cellDim, PetscInt numCorners, PetscInt *numFaceVertices)
1969 {
1970   MPI_Comm       comm;
1971   PetscErrorCode ierr;
1972 
1973   PetscFunctionBegin;
1974   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
1975   PetscValidPointer(numFaceVertices,3);
1976   switch (cellDim) {
1977   case 0:
1978     *numFaceVertices = 0;
1979     break;
1980   case 1:
1981     *numFaceVertices = 1;
1982     break;
1983   case 2:
1984     switch (numCorners) {
1985     case 3: /* triangle */
1986       *numFaceVertices = 2; /* Edge has 2 vertices */
1987       break;
1988     case 4: /* quadrilateral */
1989       *numFaceVertices = 2; /* Edge has 2 vertices */
1990       break;
1991     case 6: /* quadratic triangle, tri and quad cohesive Lagrange cells */
1992       *numFaceVertices = 3; /* Edge has 3 vertices */
1993       break;
1994     case 9: /* quadratic quadrilateral, quadratic quad cohesive Lagrange cells */
1995       *numFaceVertices = 3; /* Edge has 3 vertices */
1996       break;
1997     default:
1998       SETERRQ2(comm, PETSC_ERR_ARG_OUTOFRANGE, "Invalid number of face corners %d for dimension %d", numCorners, cellDim);
1999     }
2000     break;
2001   case 3:
2002     switch (numCorners) {
2003     case 4: /* tetradehdron */
2004       *numFaceVertices = 3; /* Face has 3 vertices */
2005       break;
2006     case 6: /* tet cohesive cells */
2007       *numFaceVertices = 4; /* Face has 4 vertices */
2008       break;
2009     case 8: /* hexahedron */
2010       *numFaceVertices = 4; /* Face has 4 vertices */
2011       break;
2012     case 9: /* tet cohesive Lagrange cells */
2013       *numFaceVertices = 6; /* Face has 6 vertices */
2014       break;
2015     case 10: /* quadratic tetrahedron */
2016       *numFaceVertices = 6; /* Face has 6 vertices */
2017       break;
2018     case 12: /* hex cohesive Lagrange cells */
2019       *numFaceVertices = 6; /* Face has 6 vertices */
2020       break;
2021     case 18: /* quadratic tet cohesive Lagrange cells */
2022       *numFaceVertices = 6; /* Face has 6 vertices */
2023       break;
2024     case 27: /* quadratic hexahedron, quadratic hex cohesive Lagrange cells */
2025       *numFaceVertices = 9; /* Face has 9 vertices */
2026       break;
2027     default:
2028       SETERRQ2(comm, PETSC_ERR_ARG_OUTOFRANGE, "Invalid number of face corners %d for dimension %d", numCorners, cellDim);
2029     }
2030     break;
2031   default:
2032     SETERRQ1(comm, PETSC_ERR_ARG_OUTOFRANGE, "Invalid cell dimension %d", cellDim);
2033   }
2034   PetscFunctionReturn(0);
2035 }
2036 
2037 #undef __FUNCT__
2038 #define __FUNCT__ "DMPlexGetAdjacencySingleLevel_Internal"
2039 static PetscErrorCode DMPlexGetAdjacencySingleLevel_Internal(DM dm, PetscInt p, PetscBool useClosure, const PetscInt *tmpClosure, PetscInt *adjSize, PetscInt adj[])
2040 {
2041   const PetscInt *support = NULL;
2042   PetscInt        numAdj   = 0, maxAdjSize = *adjSize, supportSize, s;
2043   PetscErrorCode  ierr;
2044 
2045   PetscFunctionBegin;
2046   if (useClosure) {
2047     ierr = DMPlexGetConeSize(dm, p, &supportSize);CHKERRQ(ierr);
2048     ierr = DMPlexGetCone(dm, p, &support);CHKERRQ(ierr);
2049     for (s = 0; s < supportSize; ++s) {
2050       const PetscInt *cone = NULL;
2051       PetscInt        coneSize, c, q;
2052 
2053       ierr = DMPlexGetSupportSize(dm, support[s], &coneSize);CHKERRQ(ierr);
2054       ierr = DMPlexGetSupport(dm, support[s], &cone);CHKERRQ(ierr);
2055       for (c = 0; c < coneSize; ++c) {
2056         for (q = 0; q < numAdj || (adj[numAdj++] = cone[c],0); ++q) {
2057           if (cone[c] == adj[q]) break;
2058         }
2059         if (numAdj > maxAdjSize) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid mesh exceeded adjacency allocation (%D)", maxAdjSize);
2060       }
2061     }
2062   } else {
2063     ierr = DMPlexGetSupportSize(dm, p, &supportSize);CHKERRQ(ierr);
2064     ierr = DMPlexGetSupport(dm, p, &support);CHKERRQ(ierr);
2065     for (s = 0; s < supportSize; ++s) {
2066       const PetscInt *cone = NULL;
2067       PetscInt        coneSize, c, q;
2068 
2069       ierr = DMPlexGetConeSize(dm, support[s], &coneSize);CHKERRQ(ierr);
2070       ierr = DMPlexGetCone(dm, support[s], &cone);CHKERRQ(ierr);
2071       for (c = 0; c < coneSize; ++c) {
2072         for (q = 0; q < numAdj || (adj[numAdj++] = cone[c],0); ++q) {
2073           if (cone[c] == adj[q]) break;
2074         }
2075         if (numAdj > maxAdjSize) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid mesh exceeded adjacency allocation (%D)", maxAdjSize);
2076       }
2077     }
2078   }
2079   *adjSize = numAdj;
2080   PetscFunctionReturn(0);
2081 }
2082 
2083 #undef __FUNCT__
2084 #define __FUNCT__ "DMPlexCreateNeighborCSR"
2085 PetscErrorCode DMPlexCreateNeighborCSR(DM dm, PetscInt cellHeight, PetscInt *numVertices, PetscInt **offsets, PetscInt **adjacency)
2086 {
2087   const PetscInt maxFaceCases = 30;
2088   PetscInt       numFaceCases = 0;
2089   PetscInt       numFaceVertices[30]; /* maxFaceCases, C89 sucks sucks sucks */
2090   PetscInt      *off, *adj;
2091   PetscInt      *neighborCells, *tmpClosure;
2092   PetscInt       maxConeSize, maxSupportSize, maxClosure, maxNeighbors;
2093   PetscInt       dim, cellDim, depth = 0, faceDepth, cStart, cEnd, c, numCells, cell;
2094   PetscErrorCode ierr;
2095 
2096   PetscFunctionBegin;
2097   /* For parallel partitioning, I think you have to communicate supports */
2098   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
2099   cellDim = dim - cellHeight;
2100   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
2101   ierr = DMPlexGetHeightStratum(dm, cellHeight, &cStart, &cEnd);CHKERRQ(ierr);
2102   ierr = DMPlexGetMaxSizes(dm, &maxConeSize, &maxSupportSize);CHKERRQ(ierr);
2103   if (cEnd - cStart == 0) {
2104     if (numVertices) *numVertices = 0;
2105     if (offsets)   *offsets   = NULL;
2106     if (adjacency) *adjacency = NULL;
2107     PetscFunctionReturn(0);
2108   }
2109   numCells  = cEnd - cStart;
2110   faceDepth = depth - cellHeight;
2111   /* Setup face recognition */
2112   if (faceDepth == 1) {
2113     PetscInt cornersSeen[30] = {0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}; /* Could use PetscBT */
2114 
2115     for (c = cStart; c < cEnd; ++c) {
2116       PetscInt corners;
2117 
2118       ierr = DMPlexGetConeSize(dm, c, &corners);CHKERRQ(ierr);
2119       if (!cornersSeen[corners]) {
2120         PetscInt nFV;
2121 
2122         if (numFaceCases >= maxFaceCases) SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Exceeded maximum number of face recognition cases");
2123         cornersSeen[corners] = 1;
2124 
2125         ierr = DMPlexGetNumFaceVertices_Internal(dm, cellDim, corners, &nFV);CHKERRQ(ierr);
2126 
2127         numFaceVertices[numFaceCases++] = nFV;
2128       }
2129     }
2130   }
2131   maxClosure   = 2*PetscMax(PetscPowInt(maxConeSize,depth),PetscPowInt(maxSupportSize,depth));
2132   maxNeighbors = PetscPowInt(maxConeSize,depth)*PetscPowInt(maxSupportSize,depth);
2133   ierr         = PetscMalloc2(maxNeighbors,PetscInt,&neighborCells,maxClosure,PetscInt,&tmpClosure);CHKERRQ(ierr);
2134   ierr         = PetscMalloc((numCells+1) * sizeof(PetscInt), &off);CHKERRQ(ierr);
2135   ierr         = PetscMemzero(off, (numCells+1) * sizeof(PetscInt));CHKERRQ(ierr);
2136   /* Count neighboring cells */
2137   for (cell = cStart; cell < cEnd; ++cell) {
2138     PetscInt numNeighbors = maxNeighbors, n;
2139 
2140     ierr = DMPlexGetAdjacencySingleLevel_Internal(dm, cell, PETSC_TRUE, tmpClosure, &numNeighbors, neighborCells);CHKERRQ(ierr);
2141     /* Get meet with each cell, and check with recognizer (could optimize to check each pair only once) */
2142     for (n = 0; n < numNeighbors; ++n) {
2143       PetscInt        cellPair[2];
2144       PetscBool       found    = faceDepth > 1 ? PETSC_TRUE : PETSC_FALSE;
2145       PetscInt        meetSize = 0;
2146       const PetscInt *meet    = NULL;
2147 
2148       cellPair[0] = cell; cellPair[1] = neighborCells[n];
2149       if (cellPair[0] == cellPair[1]) continue;
2150       if (!found) {
2151         ierr = DMPlexGetMeet(dm, 2, cellPair, &meetSize, &meet);CHKERRQ(ierr);
2152         if (meetSize) {
2153           PetscInt f;
2154 
2155           for (f = 0; f < numFaceCases; ++f) {
2156             if (numFaceVertices[f] == meetSize) {
2157               found = PETSC_TRUE;
2158               break;
2159             }
2160           }
2161         }
2162         ierr = DMPlexRestoreMeet(dm, 2, cellPair, &meetSize, &meet);CHKERRQ(ierr);
2163       }
2164       if (found) ++off[cell-cStart+1];
2165     }
2166   }
2167   /* Prefix sum */
2168   for (cell = 1; cell <= numCells; ++cell) off[cell] += off[cell-1];
2169 
2170   if (adjacency) {
2171     ierr = PetscMalloc(off[numCells] * sizeof(PetscInt), &adj);CHKERRQ(ierr);
2172     /* Get neighboring cells */
2173     for (cell = cStart; cell < cEnd; ++cell) {
2174       PetscInt numNeighbors = maxNeighbors, n;
2175       PetscInt cellOffset   = 0;
2176 
2177       ierr = DMPlexGetAdjacencySingleLevel_Internal(dm, cell, PETSC_TRUE, tmpClosure, &numNeighbors, neighborCells);CHKERRQ(ierr);
2178       /* Get meet with each cell, and check with recognizer (could optimize to check each pair only once) */
2179       for (n = 0; n < numNeighbors; ++n) {
2180         PetscInt        cellPair[2];
2181         PetscBool       found    = faceDepth > 1 ? PETSC_TRUE : PETSC_FALSE;
2182         PetscInt        meetSize = 0;
2183         const PetscInt *meet    = NULL;
2184 
2185         cellPair[0] = cell; cellPair[1] = neighborCells[n];
2186         if (cellPair[0] == cellPair[1]) continue;
2187         if (!found) {
2188           ierr = DMPlexGetMeet(dm, 2, cellPair, &meetSize, &meet);CHKERRQ(ierr);
2189           if (meetSize) {
2190             PetscInt f;
2191 
2192             for (f = 0; f < numFaceCases; ++f) {
2193               if (numFaceVertices[f] == meetSize) {
2194                 found = PETSC_TRUE;
2195                 break;
2196               }
2197             }
2198           }
2199           ierr = DMPlexRestoreMeet(dm, 2, cellPair, &meetSize, &meet);CHKERRQ(ierr);
2200         }
2201         if (found) {
2202           adj[off[cell-cStart]+cellOffset] = neighborCells[n];
2203           ++cellOffset;
2204         }
2205       }
2206     }
2207   }
2208   ierr = PetscFree2(neighborCells,tmpClosure);CHKERRQ(ierr);
2209   if (numVertices) *numVertices = numCells;
2210   if (offsets)   *offsets   = off;
2211   if (adjacency) *adjacency = adj;
2212   PetscFunctionReturn(0);
2213 }
2214 
2215 #if defined(PETSC_HAVE_CHACO)
2216 #if defined(PETSC_HAVE_UNISTD_H)
2217 #include <unistd.h>
2218 #endif
2219 /* Chaco does not have an include file */
2220 PETSC_EXTERN int interface(int nvtxs, int *start, int *adjacency, int *vwgts,
2221                        float *ewgts, float *x, float *y, float *z, char *outassignname,
2222                        char *outfilename, short *assignment, int architecture, int ndims_tot,
2223                        int mesh_dims[3], double *goal, int global_method, int local_method,
2224                        int rqi_flag, int vmax, int ndims, double eigtol, long seed);
2225 
2226 extern int FREE_GRAPH;
2227 
2228 #undef __FUNCT__
2229 #define __FUNCT__ "DMPlexPartition_Chaco"
2230 PetscErrorCode DMPlexPartition_Chaco(DM dm, PetscInt numVertices, PetscInt start[], PetscInt adjacency[], PetscSection *partSection, IS *partition)
2231 {
2232   enum {DEFAULT_METHOD = 1, INERTIAL_METHOD = 3};
2233   MPI_Comm       comm;
2234   int            nvtxs          = numVertices; /* number of vertices in full graph */
2235   int           *vwgts          = NULL;   /* weights for all vertices */
2236   float         *ewgts          = NULL;   /* weights for all edges */
2237   float         *x              = NULL, *y = NULL, *z = NULL; /* coordinates for inertial method */
2238   char          *outassignname  = NULL;   /*  name of assignment output file */
2239   char          *outfilename    = NULL;   /* output file name */
2240   int            architecture   = 1;      /* 0 => hypercube, d => d-dimensional mesh */
2241   int            ndims_tot      = 0;      /* total number of cube dimensions to divide */
2242   int            mesh_dims[3];            /* dimensions of mesh of processors */
2243   double        *goal          = NULL;    /* desired set sizes for each set */
2244   int            global_method = 1;       /* global partitioning algorithm */
2245   int            local_method  = 1;       /* local partitioning algorithm */
2246   int            rqi_flag      = 0;       /* should I use RQI/Symmlq eigensolver? */
2247   int            vmax          = 200;     /* how many vertices to coarsen down to? */
2248   int            ndims         = 1;       /* number of eigenvectors (2^d sets) */
2249   double         eigtol        = 0.001;   /* tolerance on eigenvectors */
2250   long           seed          = 123636512; /* for random graph mutations */
2251   short int     *assignment;              /* Output partition */
2252   int            fd_stdout, fd_pipe[2];
2253   PetscInt      *points;
2254   PetscMPIInt    commSize;
2255   int            i, v, p;
2256   PetscErrorCode ierr;
2257 
2258   PetscFunctionBegin;
2259   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
2260   ierr = MPI_Comm_size(comm, &commSize);CHKERRQ(ierr);
2261   if (!numVertices) {
2262     ierr = PetscSectionCreate(comm, partSection);CHKERRQ(ierr);
2263     ierr = PetscSectionSetChart(*partSection, 0, commSize);CHKERRQ(ierr);
2264     ierr = PetscSectionSetUp(*partSection);CHKERRQ(ierr);
2265     ierr = ISCreateGeneral(comm, 0, NULL, PETSC_OWN_POINTER, partition);CHKERRQ(ierr);
2266     PetscFunctionReturn(0);
2267   }
2268   FREE_GRAPH = 0;                         /* Do not let Chaco free my memory */
2269   for (i = 0; i < start[numVertices]; ++i) ++adjacency[i];
2270 
2271   if (global_method == INERTIAL_METHOD) {
2272     /* manager.createCellCoordinates(nvtxs, &x, &y, &z); */
2273     SETERRQ(comm, PETSC_ERR_SUP, "Inertial partitioning not yet supported");
2274   }
2275   mesh_dims[0] = commSize;
2276   mesh_dims[1] = 1;
2277   mesh_dims[2] = 1;
2278   ierr = PetscMalloc(nvtxs * sizeof(short int), &assignment);CHKERRQ(ierr);
2279   /* Chaco outputs to stdout. We redirect this to a buffer. */
2280   /* TODO: check error codes for UNIX calls */
2281 #if defined(PETSC_HAVE_UNISTD_H)
2282   {
2283     int piperet;
2284     piperet = pipe(fd_pipe);
2285     if (piperet) SETERRQ(comm,PETSC_ERR_SYS,"Could not create pipe");
2286     fd_stdout = dup(1);
2287     close(1);
2288     dup2(fd_pipe[1], 1);
2289   }
2290 #endif
2291   ierr = interface(nvtxs, (int*) start, (int*) adjacency, vwgts, ewgts, x, y, z, outassignname, outfilename,
2292                    assignment, architecture, ndims_tot, mesh_dims, goal, global_method, local_method, rqi_flag,
2293                    vmax, ndims, eigtol, seed);
2294 #if defined(PETSC_HAVE_UNISTD_H)
2295   {
2296     char msgLog[10000];
2297     int  count;
2298 
2299     fflush(stdout);
2300     count = read(fd_pipe[0], msgLog, (10000-1)*sizeof(char));
2301     if (count < 0) count = 0;
2302     msgLog[count] = 0;
2303     close(1);
2304     dup2(fd_stdout, 1);
2305     close(fd_stdout);
2306     close(fd_pipe[0]);
2307     close(fd_pipe[1]);
2308     if (ierr) SETERRQ1(comm, PETSC_ERR_LIB, "Error in Chaco library: %s", msgLog);
2309   }
2310 #endif
2311   /* Convert to PetscSection+IS */
2312   ierr = PetscSectionCreate(comm, partSection);CHKERRQ(ierr);
2313   ierr = PetscSectionSetChart(*partSection, 0, commSize);CHKERRQ(ierr);
2314   for (v = 0; v < nvtxs; ++v) {
2315     ierr = PetscSectionAddDof(*partSection, assignment[v], 1);CHKERRQ(ierr);
2316   }
2317   ierr = PetscSectionSetUp(*partSection);CHKERRQ(ierr);
2318   ierr = PetscMalloc(nvtxs * sizeof(PetscInt), &points);CHKERRQ(ierr);
2319   for (p = 0, i = 0; p < commSize; ++p) {
2320     for (v = 0; v < nvtxs; ++v) {
2321       if (assignment[v] == p) points[i++] = v;
2322     }
2323   }
2324   if (i != nvtxs) SETERRQ2(comm, PETSC_ERR_PLIB, "Number of points %D should be %D", i, nvtxs);
2325   ierr = ISCreateGeneral(comm, nvtxs, points, PETSC_OWN_POINTER, partition);CHKERRQ(ierr);
2326   if (global_method == INERTIAL_METHOD) {
2327     /* manager.destroyCellCoordinates(nvtxs, &x, &y, &z); */
2328   }
2329   ierr = PetscFree(assignment);CHKERRQ(ierr);
2330   for (i = 0; i < start[numVertices]; ++i) --adjacency[i];
2331   PetscFunctionReturn(0);
2332 }
2333 #endif
2334 
2335 #if defined(PETSC_HAVE_PARMETIS)
2336 #undef __FUNCT__
2337 #define __FUNCT__ "DMPlexPartition_ParMetis"
2338 PetscErrorCode DMPlexPartition_ParMetis(DM dm, PetscInt numVertices, PetscInt start[], PetscInt adjacency[], PetscSection *partSection, IS *partition)
2339 {
2340   PetscFunctionBegin;
2341   SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "ParMetis not yet supported");
2342   PetscFunctionReturn(0);
2343 }
2344 #endif
2345 
2346 #undef __FUNCT__
2347 #define __FUNCT__ "DMPlexEnlargePartition"
2348 /* Expand the partition by BFS on the adjacency graph */
2349 PetscErrorCode DMPlexEnlargePartition(DM dm, const PetscInt start[], const PetscInt adjacency[], PetscSection origPartSection, IS origPartition, PetscSection *partSection, IS *partition)
2350 {
2351   PetscHashI      h;
2352   const PetscInt *points;
2353   PetscInt      **tmpPoints, *newPoints, totPoints = 0;
2354   PetscInt        pStart, pEnd, part, q;
2355   PetscErrorCode  ierr;
2356 
2357   PetscFunctionBegin;
2358   PetscHashICreate(h);
2359   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), partSection);CHKERRQ(ierr);
2360   ierr = PetscSectionGetChart(origPartSection, &pStart, &pEnd);CHKERRQ(ierr);
2361   ierr = PetscSectionSetChart(*partSection, pStart, pEnd);CHKERRQ(ierr);
2362   ierr = ISGetIndices(origPartition, &points);CHKERRQ(ierr);
2363   ierr = PetscMalloc((pEnd - pStart) * sizeof(PetscInt*), &tmpPoints);CHKERRQ(ierr);
2364   for (part = pStart; part < pEnd; ++part) {
2365     PetscInt numPoints, nP, numNewPoints, off, p, n = 0;
2366 
2367     PetscHashIClear(h);
2368     ierr = PetscSectionGetDof(origPartSection, part, &numPoints);CHKERRQ(ierr);
2369     ierr = PetscSectionGetOffset(origPartSection, part, &off);CHKERRQ(ierr);
2370     /* Add all existing points to h */
2371     for (p = 0; p < numPoints; ++p) {
2372       const PetscInt point = points[off+p];
2373       PetscHashIAdd(h, point, 1);
2374     }
2375     PetscHashISize(h, nP);
2376     if (nP != numPoints) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Invalid partition has %d points, but only %d were unique", numPoints, nP);
2377     /* Add all points in next BFS level */
2378     /*   TODO We are brute forcing here, but could check the adjacency size to find the boundary */
2379     for (p = 0; p < numPoints; ++p) {
2380       const PetscInt point = points[off+p];
2381       PetscInt       s     = start[point], e = start[point+1], a;
2382 
2383       for (a = s; a < e; ++a) PetscHashIAdd(h, adjacency[a], 1);
2384     }
2385     PetscHashISize(h, numNewPoints);
2386     ierr = PetscSectionSetDof(*partSection, part, numNewPoints);CHKERRQ(ierr);
2387     ierr = PetscMalloc(numNewPoints * sizeof(PetscInt), &tmpPoints[part]);CHKERRQ(ierr);
2388     if (numNewPoints) PetscHashIGetKeys(h, n, tmpPoints[part]); /* Should not need this conditional */
2389     totPoints += numNewPoints;
2390   }
2391   ierr = ISRestoreIndices(origPartition, &points);CHKERRQ(ierr);
2392   PetscHashIDestroy(h);
2393   ierr = PetscSectionSetUp(*partSection);CHKERRQ(ierr);
2394   ierr = PetscMalloc(totPoints * sizeof(PetscInt), &newPoints);CHKERRQ(ierr);
2395   for (part = pStart, q = 0; part < pEnd; ++part) {
2396     PetscInt numPoints, p;
2397 
2398     ierr = PetscSectionGetDof(*partSection, part, &numPoints);CHKERRQ(ierr);
2399     for (p = 0; p < numPoints; ++p, ++q) newPoints[q] = tmpPoints[part][p];
2400     ierr = PetscFree(tmpPoints[part]);CHKERRQ(ierr);
2401   }
2402   ierr = PetscFree(tmpPoints);CHKERRQ(ierr);
2403   ierr = ISCreateGeneral(PetscObjectComm((PetscObject)dm), totPoints, newPoints, PETSC_OWN_POINTER, partition);CHKERRQ(ierr);
2404   PetscFunctionReturn(0);
2405 }
2406 
2407 #undef __FUNCT__
2408 #define __FUNCT__ "DMPlexCreatePartition"
2409 /*
2410   DMPlexCreatePartition - Create a non-overlapping partition of the points at the given height
2411 
2412   Collective on DM
2413 
2414   Input Parameters:
2415   + dm - The DM
2416   . height - The height for points in the partition
2417   - enlarge - Expand each partition with neighbors
2418 
2419   Output Parameters:
2420   + partSection - The PetscSection giving the division of points by partition
2421   . partition - The list of points by partition
2422   . origPartSection - If enlarge is true, the PetscSection giving the division of points before enlarging by partition, otherwise NULL
2423   - origPartition - If enlarge is true, the list of points before enlarging by partition, otherwise NULL
2424 
2425   Level: developer
2426 
2427 .seealso DMPlexDistribute()
2428 */
2429 PetscErrorCode DMPlexCreatePartition(DM dm, PetscInt height, PetscBool enlarge, PetscSection *partSection, IS *partition, PetscSection *origPartSection, IS *origPartition)
2430 {
2431   PetscMPIInt    size;
2432   PetscErrorCode ierr;
2433 
2434   PetscFunctionBegin;
2435   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)dm), &size);CHKERRQ(ierr);
2436 
2437   *origPartSection = NULL;
2438   *origPartition   = NULL;
2439   if (size == 1) {
2440     PetscInt *points;
2441     PetscInt  cStart, cEnd, c;
2442 
2443     ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
2444     ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), partSection);CHKERRQ(ierr);
2445     ierr = PetscSectionSetChart(*partSection, 0, size);CHKERRQ(ierr);
2446     ierr = PetscSectionSetDof(*partSection, 0, cEnd-cStart);CHKERRQ(ierr);
2447     ierr = PetscSectionSetUp(*partSection);CHKERRQ(ierr);
2448     ierr = PetscMalloc((cEnd - cStart) * sizeof(PetscInt), &points);CHKERRQ(ierr);
2449     for (c = cStart; c < cEnd; ++c) points[c] = c;
2450     ierr = ISCreateGeneral(PetscObjectComm((PetscObject)dm), cEnd-cStart, points, PETSC_OWN_POINTER, partition);CHKERRQ(ierr);
2451     PetscFunctionReturn(0);
2452   }
2453   if (height == 0) {
2454     PetscInt  numVertices;
2455     PetscInt *start     = NULL;
2456     PetscInt *adjacency = NULL;
2457 
2458     ierr = DMPlexCreateNeighborCSR(dm, 0, &numVertices, &start, &adjacency);CHKERRQ(ierr);
2459     if (1) {
2460 #if defined(PETSC_HAVE_CHACO)
2461       ierr = DMPlexPartition_Chaco(dm, numVertices, start, adjacency, partSection, partition);CHKERRQ(ierr);
2462 #endif
2463     } else {
2464 #if defined(PETSC_HAVE_PARMETIS)
2465       ierr = DMPlexPartition_ParMetis(dm, numVertices, start, adjacency, partSection, partition);CHKERRQ(ierr);
2466 #endif
2467     }
2468     if (enlarge) {
2469       *origPartSection = *partSection;
2470       *origPartition   = *partition;
2471 
2472       ierr = DMPlexEnlargePartition(dm, start, adjacency, *origPartSection, *origPartition, partSection, partition);CHKERRQ(ierr);
2473     }
2474     ierr = PetscFree(start);CHKERRQ(ierr);
2475     ierr = PetscFree(adjacency);CHKERRQ(ierr);
2476 # if 0
2477   } else if (height == 1) {
2478     /* Build the dual graph for faces and partition the hypergraph */
2479     PetscInt numEdges;
2480 
2481     buildFaceCSRV(mesh, mesh->getFactory()->getNumbering(mesh, mesh->depth()-1), &numEdges, &start, &adjacency, GraphPartitioner::zeroBase());
2482     GraphPartitioner().partition(numEdges, start, adjacency, partition, manager);
2483     destroyCSR(numEdges, start, adjacency);
2484 #endif
2485   } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Invalid partition height %D", height);
2486   PetscFunctionReturn(0);
2487 }
2488 
2489 #undef __FUNCT__
2490 #define __FUNCT__ "DMPlexCreatePartitionClosure"
2491 PetscErrorCode DMPlexCreatePartitionClosure(DM dm, PetscSection pointSection, IS pointPartition, PetscSection *section, IS *partition)
2492 {
2493   /* const PetscInt  height = 0; */
2494   const PetscInt *partArray;
2495   PetscInt       *allPoints, *packPoints;
2496   PetscInt        rStart, rEnd, rank, pStart, pEnd, newSize;
2497   PetscErrorCode  ierr;
2498   PetscBT         bt;
2499   PetscSegBuffer  segpack,segpart;
2500 
2501   PetscFunctionBegin;
2502   ierr = PetscSectionGetChart(pointSection, &rStart, &rEnd);CHKERRQ(ierr);
2503   ierr = ISGetIndices(pointPartition, &partArray);CHKERRQ(ierr);
2504   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), section);CHKERRQ(ierr);
2505   ierr = PetscSectionSetChart(*section, rStart, rEnd);CHKERRQ(ierr);
2506   ierr = DMPlexGetChart(dm,&pStart,&pEnd);CHKERRQ(ierr);
2507   ierr = PetscBTCreate(pEnd-pStart,&bt);CHKERRQ(ierr);
2508   ierr = PetscSegBufferCreate(sizeof(PetscInt),1000,&segpack);CHKERRQ(ierr);
2509   ierr = PetscSegBufferCreate(sizeof(PetscInt),1000,&segpart);CHKERRQ(ierr);
2510   for (rank = rStart; rank < rEnd; ++rank) {
2511     PetscInt partSize = 0;
2512     PetscInt numPoints, offset, p;
2513 
2514     ierr = PetscSectionGetDof(pointSection, rank, &numPoints);CHKERRQ(ierr);
2515     ierr = PetscSectionGetOffset(pointSection, rank, &offset);CHKERRQ(ierr);
2516     for (p = 0; p < numPoints; ++p) {
2517       PetscInt  point   = partArray[offset+p], closureSize, c;
2518       PetscInt *closure = NULL;
2519 
2520       /* TODO Include support for height > 0 case */
2521       ierr = DMPlexGetTransitiveClosure(dm, point, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
2522       for (c=0; c<closureSize; c++) {
2523         PetscInt cpoint = closure[c*2];
2524         if (!PetscBTLookupSet(bt,cpoint-pStart)) {
2525           PetscInt *pt;
2526           partSize++;
2527           ierr = PetscSegBufferGet(&segpart,1,&pt);CHKERRQ(ierr);
2528           *pt = cpoint;
2529         }
2530       }
2531       ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
2532     }
2533     ierr = PetscSectionSetDof(*section, rank, partSize);CHKERRQ(ierr);
2534     ierr = PetscSegBufferGet(&segpack,partSize,&packPoints);CHKERRQ(ierr);
2535     ierr = PetscSegBufferExtractTo(&segpart,packPoints);CHKERRQ(ierr);
2536     ierr = PetscSortInt(partSize,packPoints);CHKERRQ(ierr);
2537     for (p=0; p<partSize; p++) {ierr = PetscBTClear(bt,packPoints[p]-pStart);CHKERRQ(ierr);}
2538   }
2539   ierr = PetscBTDestroy(&bt);CHKERRQ(ierr);
2540   ierr = PetscSegBufferDestroy(&segpart);CHKERRQ(ierr);
2541 
2542   ierr = PetscSectionSetUp(*section);CHKERRQ(ierr);
2543   ierr = PetscSectionGetStorageSize(*section, &newSize);CHKERRQ(ierr);
2544   ierr = PetscMalloc(newSize * sizeof(PetscInt), &allPoints);CHKERRQ(ierr);
2545 
2546   ierr = PetscSegBufferExtractInPlace(&segpack,&packPoints);CHKERRQ(ierr);
2547   for (rank = rStart; rank < rEnd; ++rank) {
2548     PetscInt numPoints, offset;
2549 
2550     ierr = PetscSectionGetDof(*section, rank, &numPoints);CHKERRQ(ierr);
2551     ierr = PetscSectionGetOffset(*section, rank, &offset);CHKERRQ(ierr);
2552     ierr = PetscMemcpy(&allPoints[offset], packPoints, numPoints * sizeof(PetscInt));CHKERRQ(ierr);
2553     packPoints += numPoints;
2554   }
2555 
2556   ierr = PetscSegBufferDestroy(&segpack);CHKERRQ(ierr);
2557   ierr = ISRestoreIndices(pointPartition, &partArray);CHKERRQ(ierr);
2558   ierr = ISCreateGeneral(PetscObjectComm((PetscObject)dm), newSize, allPoints, PETSC_OWN_POINTER, partition);CHKERRQ(ierr);
2559   PetscFunctionReturn(0);
2560 }
2561 
2562 #undef __FUNCT__
2563 #define __FUNCT__ "DMPlexDistributeField"
2564 /*
2565   Input Parameters:
2566 . originalSection
2567 , originalVec
2568 
2569   Output Parameters:
2570 . newSection
2571 . newVec
2572 */
2573 PetscErrorCode DMPlexDistributeField(DM dm, PetscSF pointSF, PetscSection originalSection, Vec originalVec, PetscSection newSection, Vec newVec)
2574 {
2575   PetscSF        fieldSF;
2576   PetscInt      *remoteOffsets, fieldSize;
2577   PetscScalar   *originalValues, *newValues;
2578   PetscErrorCode ierr;
2579 
2580   PetscFunctionBegin;
2581   ierr = PetscSFDistributeSection(pointSF, originalSection, &remoteOffsets, newSection);CHKERRQ(ierr);
2582 
2583   ierr = PetscSectionGetStorageSize(newSection, &fieldSize);CHKERRQ(ierr);
2584   ierr = VecSetSizes(newVec, fieldSize, PETSC_DETERMINE);CHKERRQ(ierr);
2585   ierr = VecSetFromOptions(newVec);CHKERRQ(ierr);
2586 
2587   ierr = VecGetArray(originalVec, &originalValues);CHKERRQ(ierr);
2588   ierr = VecGetArray(newVec, &newValues);CHKERRQ(ierr);
2589   ierr = PetscSFCreateSectionSF(pointSF, originalSection, remoteOffsets, newSection, &fieldSF);CHKERRQ(ierr);
2590   ierr = PetscSFBcastBegin(fieldSF, MPIU_SCALAR, originalValues, newValues);CHKERRQ(ierr);
2591   ierr = PetscSFBcastEnd(fieldSF, MPIU_SCALAR, originalValues, newValues);CHKERRQ(ierr);
2592   ierr = PetscSFDestroy(&fieldSF);CHKERRQ(ierr);
2593   ierr = VecRestoreArray(newVec, &newValues);CHKERRQ(ierr);
2594   ierr = VecRestoreArray(originalVec, &originalValues);CHKERRQ(ierr);
2595   PetscFunctionReturn(0);
2596 }
2597 
2598 #undef __FUNCT__
2599 #define __FUNCT__ "DMPlexDistribute"
2600 /*@C
2601   DMPlexDistribute - Distributes the mesh and any associated sections.
2602 
2603   Not Collective
2604 
2605   Input Parameter:
2606 + dm  - The original DMPlex object
2607 . partitioner - The partitioning package, or NULL for the default
2608 - overlap - The overlap of partitions, 0 is the default
2609 
2610   Output Parameter:
2611 . parallelMesh - The distributed DMPlex object, or NULL
2612 
2613   Note: If the mesh was not distributed, the return value is NULL
2614 
2615   Level: intermediate
2616 
2617 .keywords: mesh, elements
2618 .seealso: DMPlexCreate(), DMPlexDistributeByFace()
2619 @*/
2620 PetscErrorCode DMPlexDistribute(DM dm, const char partitioner[], PetscInt overlap, DM *dmParallel)
2621 {
2622   DM_Plex               *mesh   = (DM_Plex*) dm->data, *pmesh;
2623   MPI_Comm               comm;
2624   const PetscInt         height = 0;
2625   PetscInt               dim, numRemoteRanks;
2626   IS                     origCellPart,        cellPart,        part;
2627   PetscSection           origCellPartSection, cellPartSection, partSection;
2628   PetscSFNode           *remoteRanks;
2629   PetscSF                partSF, pointSF, coneSF;
2630   ISLocalToGlobalMapping renumbering;
2631   PetscSection           originalConeSection, newConeSection;
2632   PetscInt              *remoteOffsets;
2633   PetscInt              *cones, *newCones, newConesSize;
2634   PetscBool              flg;
2635   PetscMPIInt            rank, numProcs, p;
2636   PetscErrorCode         ierr;
2637 
2638   PetscFunctionBegin;
2639   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2640   PetscValidPointer(dmParallel,4);
2641 
2642   ierr = PetscLogEventBegin(DMPLEX_Distribute,dm,0,0,0);CHKERRQ(ierr);
2643   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
2644   ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr);
2645   ierr = MPI_Comm_size(comm, &numProcs);CHKERRQ(ierr);
2646 
2647   *dmParallel = NULL;
2648   if (numProcs == 1) PetscFunctionReturn(0);
2649 
2650   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
2651   /* Create cell partition - We need to rewrite to use IS, use the MatPartition stuff */
2652   if (overlap > 1) SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Overlap > 1 not yet implemented");
2653   ierr = DMPlexCreatePartition(dm, height, overlap > 0 ? PETSC_TRUE : PETSC_FALSE, &cellPartSection, &cellPart, &origCellPartSection, &origCellPart);CHKERRQ(ierr);
2654   /* Create SF assuming a serial partition for all processes: Could check for IS length here */
2655   if (!rank) numRemoteRanks = numProcs;
2656   else       numRemoteRanks = 0;
2657   ierr = PetscMalloc(numRemoteRanks * sizeof(PetscSFNode), &remoteRanks);CHKERRQ(ierr);
2658   for (p = 0; p < numRemoteRanks; ++p) {
2659     remoteRanks[p].rank  = p;
2660     remoteRanks[p].index = 0;
2661   }
2662   ierr = PetscSFCreate(comm, &partSF);CHKERRQ(ierr);
2663   ierr = PetscSFSetGraph(partSF, 1, numRemoteRanks, NULL, PETSC_OWN_POINTER, remoteRanks, PETSC_OWN_POINTER);CHKERRQ(ierr);
2664   ierr = PetscOptionsHasName(((PetscObject) dm)->prefix, "-partition_view", &flg);CHKERRQ(ierr);
2665   if (flg) {
2666     ierr = PetscPrintf(comm, "Cell Partition:\n");CHKERRQ(ierr);
2667     ierr = PetscSectionView(cellPartSection, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
2668     ierr = ISView(cellPart, NULL);CHKERRQ(ierr);
2669     if (origCellPart) {
2670       ierr = PetscPrintf(comm, "Original Cell Partition:\n");CHKERRQ(ierr);
2671       ierr = PetscSectionView(origCellPartSection, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
2672       ierr = ISView(origCellPart, NULL);CHKERRQ(ierr);
2673     }
2674     ierr = PetscSFView(partSF, NULL);CHKERRQ(ierr);
2675   }
2676   /* Close the partition over the mesh */
2677   ierr = DMPlexCreatePartitionClosure(dm, cellPartSection, cellPart, &partSection, &part);CHKERRQ(ierr);
2678   ierr = ISDestroy(&cellPart);CHKERRQ(ierr);
2679   ierr = PetscSectionDestroy(&cellPartSection);CHKERRQ(ierr);
2680   /* Create new mesh */
2681   ierr  = DMPlexCreate(comm, dmParallel);CHKERRQ(ierr);
2682   ierr  = DMPlexSetDimension(*dmParallel, dim);CHKERRQ(ierr);
2683   ierr  = PetscObjectSetName((PetscObject) *dmParallel, "Parallel Mesh");CHKERRQ(ierr);
2684   pmesh = (DM_Plex*) (*dmParallel)->data;
2685   /* Distribute sieve points and the global point numbering (replaces creating remote bases) */
2686   ierr = PetscSFConvertPartition(partSF, partSection, part, &renumbering, &pointSF);CHKERRQ(ierr);
2687   if (flg) {
2688     ierr = PetscPrintf(comm, "Point Partition:\n");CHKERRQ(ierr);
2689     ierr = PetscSectionView(partSection, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
2690     ierr = ISView(part, NULL);CHKERRQ(ierr);
2691     ierr = PetscSFView(pointSF, NULL);CHKERRQ(ierr);
2692     ierr = PetscPrintf(comm, "Point Renumbering after partition:\n");CHKERRQ(ierr);
2693     ierr = ISLocalToGlobalMappingView(renumbering, NULL);CHKERRQ(ierr);
2694   }
2695   /* Distribute cone section */
2696   ierr = DMPlexGetConeSection(dm, &originalConeSection);CHKERRQ(ierr);
2697   ierr = DMPlexGetConeSection(*dmParallel, &newConeSection);CHKERRQ(ierr);
2698   ierr = PetscSFDistributeSection(pointSF, originalConeSection, &remoteOffsets, newConeSection);CHKERRQ(ierr);
2699   ierr = DMSetUp(*dmParallel);CHKERRQ(ierr);
2700   {
2701     PetscInt pStart, pEnd, p;
2702 
2703     ierr = PetscSectionGetChart(newConeSection, &pStart, &pEnd);CHKERRQ(ierr);
2704     for (p = pStart; p < pEnd; ++p) {
2705       PetscInt coneSize;
2706       ierr               = PetscSectionGetDof(newConeSection, p, &coneSize);CHKERRQ(ierr);
2707       pmesh->maxConeSize = PetscMax(pmesh->maxConeSize, coneSize);
2708     }
2709   }
2710   /* Communicate and renumber cones */
2711   ierr = PetscSFCreateSectionSF(pointSF, originalConeSection, remoteOffsets, newConeSection, &coneSF);CHKERRQ(ierr);
2712   ierr = DMPlexGetCones(dm, &cones);CHKERRQ(ierr);
2713   ierr = DMPlexGetCones(*dmParallel, &newCones);CHKERRQ(ierr);
2714   ierr = PetscSFBcastBegin(coneSF, MPIU_INT, cones, newCones);CHKERRQ(ierr);
2715   ierr = PetscSFBcastEnd(coneSF, MPIU_INT, cones, newCones);CHKERRQ(ierr);
2716   ierr = PetscSectionGetStorageSize(newConeSection, &newConesSize);CHKERRQ(ierr);
2717   ierr = ISGlobalToLocalMappingApply(renumbering, IS_GTOLM_MASK, newConesSize, newCones, NULL, newCones);CHKERRQ(ierr);
2718   ierr = PetscOptionsHasName(((PetscObject) dm)->prefix, "-cones_view", &flg);CHKERRQ(ierr);
2719   if (flg) {
2720     ierr = PetscPrintf(comm, "Serial Cone Section:\n");CHKERRQ(ierr);
2721     ierr = PetscSectionView(originalConeSection, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
2722     ierr = PetscPrintf(comm, "Parallel Cone Section:\n");CHKERRQ(ierr);
2723     ierr = PetscSectionView(newConeSection, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
2724     ierr = PetscSFView(coneSF, NULL);CHKERRQ(ierr);
2725   }
2726   ierr = DMPlexGetConeOrientations(dm, &cones);CHKERRQ(ierr);
2727   ierr = DMPlexGetConeOrientations(*dmParallel, &newCones);CHKERRQ(ierr);
2728   ierr = PetscSFBcastBegin(coneSF, MPIU_INT, cones, newCones);CHKERRQ(ierr);
2729   ierr = PetscSFBcastEnd(coneSF, MPIU_INT, cones, newCones);CHKERRQ(ierr);
2730   ierr = PetscSFDestroy(&coneSF);CHKERRQ(ierr);
2731   /* Create supports and stratify sieve */
2732   {
2733     PetscInt pStart, pEnd;
2734 
2735     ierr = PetscSectionGetChart(pmesh->coneSection, &pStart, &pEnd);CHKERRQ(ierr);
2736     ierr = PetscSectionSetChart(pmesh->supportSection, pStart, pEnd);CHKERRQ(ierr);
2737   }
2738   ierr = DMPlexSymmetrize(*dmParallel);CHKERRQ(ierr);
2739   ierr = DMPlexStratify(*dmParallel);CHKERRQ(ierr);
2740   /* Distribute Coordinates */
2741   {
2742     PetscSection originalCoordSection, newCoordSection;
2743     Vec          originalCoordinates, newCoordinates;
2744     const char  *name;
2745 
2746     ierr = DMPlexGetCoordinateSection(dm, &originalCoordSection);CHKERRQ(ierr);
2747     ierr = DMPlexGetCoordinateSection(*dmParallel, &newCoordSection);CHKERRQ(ierr);
2748     ierr = DMGetCoordinatesLocal(dm, &originalCoordinates);CHKERRQ(ierr);
2749     ierr = VecCreate(comm, &newCoordinates);CHKERRQ(ierr);
2750     ierr = PetscObjectGetName((PetscObject) originalCoordinates, &name);CHKERRQ(ierr);
2751     ierr = PetscObjectSetName((PetscObject) newCoordinates, name);CHKERRQ(ierr);
2752 
2753     ierr = DMPlexDistributeField(dm, pointSF, originalCoordSection, originalCoordinates, newCoordSection, newCoordinates);CHKERRQ(ierr);
2754     ierr = DMSetCoordinatesLocal(*dmParallel, newCoordinates);CHKERRQ(ierr);
2755     ierr = VecDestroy(&newCoordinates);CHKERRQ(ierr);
2756   }
2757   /* Distribute labels */
2758   {
2759     DMLabel  next      = mesh->labels, newNext = pmesh->labels;
2760     PetscInt numLabels = 0, l;
2761 
2762     /* Bcast number of labels */
2763     while (next) {
2764       ++numLabels; next = next->next;
2765     }
2766     ierr = MPI_Bcast(&numLabels, 1, MPIU_INT, 0, comm);CHKERRQ(ierr);
2767     next = mesh->labels;
2768     for (l = 0; l < numLabels; ++l) {
2769       DMLabel         newLabel;
2770       const PetscInt *partArray;
2771       char           *name;
2772       PetscInt       *stratumSizes = NULL, *points = NULL;
2773       PetscMPIInt    *sendcnts     = NULL, *offsets = NULL, *displs = NULL;
2774       PetscInt        nameSize, s, p;
2775       PetscBool       isdepth;
2776       size_t          len = 0;
2777 
2778       /* Bcast name (could filter for no points) */
2779       if (!rank) {ierr = PetscStrlen(next->name, &len);CHKERRQ(ierr);}
2780       nameSize = len;
2781       ierr     = MPI_Bcast(&nameSize, 1, MPIU_INT, 0, comm);CHKERRQ(ierr);
2782       ierr     = PetscMalloc(nameSize+1, &name);CHKERRQ(ierr);
2783       if (!rank) {ierr = PetscMemcpy(name, next->name, nameSize+1);CHKERRQ(ierr);}
2784       ierr = MPI_Bcast(name, nameSize+1, MPI_CHAR, 0, comm);CHKERRQ(ierr);
2785       ierr = PetscStrcmp(name, "depth", &isdepth);CHKERRQ(ierr);
2786       if (isdepth) {            /* skip because "depth" is not distributed */
2787         ierr = PetscFree(name);CHKERRQ(ierr);
2788         if (!rank) next = next->next;
2789         continue;
2790       }
2791       ierr           = PetscNew(struct _n_DMLabel, &newLabel);CHKERRQ(ierr);
2792       newLabel->name = name;
2793       /* Bcast numStrata (could filter for no points in stratum) */
2794       if (!rank) newLabel->numStrata = next->numStrata;
2795       ierr = MPI_Bcast(&newLabel->numStrata, 1, MPIU_INT, 0, comm);CHKERRQ(ierr);
2796       ierr = PetscMalloc3(newLabel->numStrata,PetscInt,&newLabel->stratumValues,
2797                           newLabel->numStrata,PetscInt,&newLabel->stratumSizes,
2798                           newLabel->numStrata+1,PetscInt,&newLabel->stratumOffsets);CHKERRQ(ierr);
2799       /* Bcast stratumValues (could filter for no points in stratum) */
2800       if (!rank) {ierr = PetscMemcpy(newLabel->stratumValues, next->stratumValues, next->numStrata * sizeof(PetscInt));CHKERRQ(ierr);}
2801       ierr = MPI_Bcast(newLabel->stratumValues, newLabel->numStrata, MPIU_INT, 0, comm);CHKERRQ(ierr);
2802       /* Find size on each process and Scatter */
2803       if (!rank) {
2804         ierr = ISGetIndices(part, &partArray);CHKERRQ(ierr);
2805         ierr = PetscMalloc(numProcs*next->numStrata * sizeof(PetscInt), &stratumSizes);CHKERRQ(ierr);
2806         ierr = PetscMemzero(stratumSizes, numProcs*next->numStrata * sizeof(PetscInt));CHKERRQ(ierr);
2807         for (s = 0; s < next->numStrata; ++s) {
2808           for (p = next->stratumOffsets[s]; p < next->stratumOffsets[s]+next->stratumSizes[s]; ++p) {
2809             const PetscInt point = next->points[p];
2810             PetscInt       proc;
2811 
2812             for (proc = 0; proc < numProcs; ++proc) {
2813               PetscInt dof, off, pPart;
2814 
2815               ierr = PetscSectionGetDof(partSection, proc, &dof);CHKERRQ(ierr);
2816               ierr = PetscSectionGetOffset(partSection, proc, &off);CHKERRQ(ierr);
2817               for (pPart = off; pPart < off+dof; ++pPart) {
2818                 if (partArray[pPart] == point) {
2819                   ++stratumSizes[proc*next->numStrata+s];
2820                   break;
2821                 }
2822               }
2823             }
2824           }
2825         }
2826         ierr = ISRestoreIndices(part, &partArray);CHKERRQ(ierr);
2827       }
2828       ierr = MPI_Scatter(stratumSizes, newLabel->numStrata, MPIU_INT, newLabel->stratumSizes, newLabel->numStrata, MPIU_INT, 0, comm);CHKERRQ(ierr);
2829       /* Calculate stratumOffsets */
2830       newLabel->stratumOffsets[0] = 0;
2831       for (s = 0; s < newLabel->numStrata; ++s) {
2832         newLabel->stratumOffsets[s+1] = newLabel->stratumSizes[s] + newLabel->stratumOffsets[s];
2833       }
2834       /* Pack points and Scatter */
2835       if (!rank) {
2836         ierr = PetscMalloc3(numProcs,PetscMPIInt,&sendcnts,numProcs,PetscMPIInt,&offsets,numProcs+1,PetscMPIInt,&displs);CHKERRQ(ierr);
2837         displs[0] = 0;
2838         for (p = 0; p < numProcs; ++p) {
2839           sendcnts[p] = 0;
2840           for (s = 0; s < next->numStrata; ++s) {
2841             sendcnts[p] += stratumSizes[p*next->numStrata+s];
2842           }
2843           offsets[p]  = displs[p];
2844           displs[p+1] = displs[p] + sendcnts[p];
2845         }
2846         ierr = PetscMalloc(displs[numProcs] * sizeof(PetscInt), &points);CHKERRQ(ierr);
2847         for (s = 0; s < next->numStrata; ++s) {
2848           for (p = next->stratumOffsets[s]; p < next->stratumOffsets[s]+next->stratumSizes[s]; ++p) {
2849             const PetscInt point = next->points[p];
2850             PetscInt       proc;
2851 
2852             for (proc = 0; proc < numProcs; ++proc) {
2853               PetscInt dof, off, pPart;
2854 
2855               ierr = PetscSectionGetDof(partSection, proc, &dof);CHKERRQ(ierr);
2856               ierr = PetscSectionGetOffset(partSection, proc, &off);CHKERRQ(ierr);
2857               for (pPart = off; pPart < off+dof; ++pPart) {
2858                 if (partArray[pPart] == point) {
2859                   points[offsets[proc]++] = point;
2860                   break;
2861                 }
2862               }
2863             }
2864           }
2865         }
2866       }
2867       ierr = PetscMalloc(newLabel->stratumOffsets[newLabel->numStrata] * sizeof(PetscInt), &newLabel->points);CHKERRQ(ierr);
2868       ierr = MPI_Scatterv(points, sendcnts, displs, MPIU_INT, newLabel->points, newLabel->stratumOffsets[newLabel->numStrata], MPIU_INT, 0, comm);CHKERRQ(ierr);
2869       ierr = PetscFree(points);CHKERRQ(ierr);
2870       ierr = PetscFree3(sendcnts,offsets,displs);CHKERRQ(ierr);
2871       ierr = PetscFree(stratumSizes);CHKERRQ(ierr);
2872       /* Renumber points */
2873       ierr = ISGlobalToLocalMappingApply(renumbering, IS_GTOLM_MASK, newLabel->stratumOffsets[newLabel->numStrata], newLabel->points, NULL, newLabel->points);CHKERRQ(ierr);
2874       /* Sort points */
2875       for (s = 0; s < newLabel->numStrata; ++s) {
2876         ierr = PetscSortInt(newLabel->stratumSizes[s], &newLabel->points[newLabel->stratumOffsets[s]]);CHKERRQ(ierr);
2877       }
2878       /* Insert into list */
2879       if (newNext) newNext->next = newLabel;
2880       else pmesh->labels = newLabel;
2881       newNext = newLabel;
2882       if (!rank) next = next->next;
2883     }
2884   }
2885   /* Cleanup Partition */
2886   ierr = ISLocalToGlobalMappingDestroy(&renumbering);CHKERRQ(ierr);
2887   ierr = PetscSFDestroy(&partSF);CHKERRQ(ierr);
2888   ierr = PetscSectionDestroy(&partSection);CHKERRQ(ierr);
2889   ierr = ISDestroy(&part);CHKERRQ(ierr);
2890   /* Create point SF for parallel mesh */
2891   {
2892     const PetscInt *leaves;
2893     PetscSFNode    *remotePoints, *rowners, *lowners;
2894     PetscInt        numRoots, numLeaves, numGhostPoints = 0, p, gp, *ghostPoints;
2895     PetscInt        pStart, pEnd;
2896 
2897     ierr = DMPlexGetChart(*dmParallel, &pStart, &pEnd);CHKERRQ(ierr);
2898     ierr = PetscSFGetGraph(pointSF, &numRoots, &numLeaves, &leaves, NULL);CHKERRQ(ierr);
2899     ierr = PetscMalloc2(numRoots,PetscSFNode,&rowners,numLeaves,PetscSFNode,&lowners);CHKERRQ(ierr);
2900     for (p=0; p<numRoots; p++) {
2901       rowners[p].rank  = -1;
2902       rowners[p].index = -1;
2903     }
2904     if (origCellPart) {
2905       /* Make sure cells in the original partition are not assigned to other procs */
2906       const PetscInt *origCells;
2907 
2908       ierr = ISGetIndices(origCellPart, &origCells);CHKERRQ(ierr);
2909       for (p = 0; p < numProcs; ++p) {
2910         PetscInt dof, off, d;
2911 
2912         ierr = PetscSectionGetDof(origCellPartSection, p, &dof);CHKERRQ(ierr);
2913         ierr = PetscSectionGetOffset(origCellPartSection, p, &off);CHKERRQ(ierr);
2914         for (d = off; d < off+dof; ++d) {
2915           rowners[origCells[d]].rank = p;
2916         }
2917       }
2918       ierr = ISRestoreIndices(origCellPart, &origCells);CHKERRQ(ierr);
2919     }
2920     ierr = ISDestroy(&origCellPart);CHKERRQ(ierr);
2921     ierr = PetscSectionDestroy(&origCellPartSection);CHKERRQ(ierr);
2922 
2923     ierr = PetscSFBcastBegin(pointSF, MPIU_2INT, rowners, lowners);CHKERRQ(ierr);
2924     ierr = PetscSFBcastEnd(pointSF, MPIU_2INT, rowners, lowners);CHKERRQ(ierr);
2925     for (p = 0; p < numLeaves; ++p) {
2926       if (lowners[p].rank < 0 || lowners[p].rank == rank) { /* Either put in a bid or we know we own it */
2927         lowners[p].rank  = rank;
2928         lowners[p].index = leaves ? leaves[p] : p;
2929       } else if (lowners[p].rank >= 0) { /* Point already claimed so flag so that MAXLOC does not listen to us */
2930         lowners[p].rank  = -2;
2931         lowners[p].index = -2;
2932       }
2933     }
2934     for (p=0; p<numRoots; p++) { /* Root must not participate in the rediction, flag so that MAXLOC does not use */
2935       rowners[p].rank  = -3;
2936       rowners[p].index = -3;
2937     }
2938     ierr = PetscSFReduceBegin(pointSF, MPIU_2INT, lowners, rowners, MPI_MAXLOC);CHKERRQ(ierr);
2939     ierr = PetscSFReduceEnd(pointSF, MPIU_2INT, lowners, rowners, MPI_MAXLOC);CHKERRQ(ierr);
2940     ierr = PetscSFBcastBegin(pointSF, MPIU_2INT, rowners, lowners);CHKERRQ(ierr);
2941     ierr = PetscSFBcastEnd(pointSF, MPIU_2INT, rowners, lowners);CHKERRQ(ierr);
2942     for (p = 0; p < numLeaves; ++p) {
2943       if (lowners[p].rank < 0 || lowners[p].index < 0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Cell partition corrupt: point not claimed");
2944       if (lowners[p].rank != rank) ++numGhostPoints;
2945     }
2946     ierr = PetscMalloc(numGhostPoints * sizeof(PetscInt),    &ghostPoints);CHKERRQ(ierr);
2947     ierr = PetscMalloc(numGhostPoints * sizeof(PetscSFNode), &remotePoints);CHKERRQ(ierr);
2948     for (p = 0, gp = 0; p < numLeaves; ++p) {
2949       if (lowners[p].rank != rank) {
2950         ghostPoints[gp]        = leaves ? leaves[p] : p;
2951         remotePoints[gp].rank  = lowners[p].rank;
2952         remotePoints[gp].index = lowners[p].index;
2953         ++gp;
2954       }
2955     }
2956     ierr = PetscFree2(rowners,lowners);CHKERRQ(ierr);
2957     ierr = PetscSFSetGraph((*dmParallel)->sf, pEnd - pStart, numGhostPoints, ghostPoints, PETSC_OWN_POINTER, remotePoints, PETSC_OWN_POINTER);CHKERRQ(ierr);
2958     ierr = PetscSFSetFromOptions((*dmParallel)->sf);CHKERRQ(ierr);
2959   }
2960   /* Cleanup */
2961   ierr = PetscSFDestroy(&pointSF);CHKERRQ(ierr);
2962   ierr = DMSetFromOptions(*dmParallel);CHKERRQ(ierr);
2963   ierr = PetscLogEventEnd(DMPLEX_Distribute,dm,0,0,0);CHKERRQ(ierr);
2964   PetscFunctionReturn(0);
2965 }
2966 
2967 #undef __FUNCT__
2968 #define __FUNCT__ "DMPlexInvertCells_Internal"
2969 /* This is to fix the tetrahedron orientation from TetGen */
2970 PETSC_UNUSED static PetscErrorCode DMPlexInvertCells_Internal(PetscInt numCells, PetscInt numCorners, int cells[])
2971 {
2972   PetscInt c;
2973 
2974   PetscFunctionBegin;
2975   if (numCorners != 4) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Cannot invert cells with %d corners", numCorners);
2976   for (c = 0; c < numCells; ++c) {
2977     int *cone = &cells[c*4], tmpc;
2978 
2979     tmpc    = cone[0];
2980     cone[0] = cone[1];
2981     cone[1] = tmpc;
2982   }
2983   PetscFunctionReturn(0);
2984 }
2985 
2986 #if defined(PETSC_HAVE_TRIANGLE)
2987 #include <triangle.h>
2988 
2989 #undef __FUNCT__
2990 #define __FUNCT__ "InitInput_Triangle"
2991 PetscErrorCode InitInput_Triangle(struct triangulateio *inputCtx)
2992 {
2993   PetscFunctionBegin;
2994   inputCtx->numberofpoints             = 0;
2995   inputCtx->numberofpointattributes    = 0;
2996   inputCtx->pointlist                  = NULL;
2997   inputCtx->pointattributelist         = NULL;
2998   inputCtx->pointmarkerlist            = NULL;
2999   inputCtx->numberofsegments           = 0;
3000   inputCtx->segmentlist                = NULL;
3001   inputCtx->segmentmarkerlist          = NULL;
3002   inputCtx->numberoftriangleattributes = 0;
3003   inputCtx->trianglelist               = NULL;
3004   inputCtx->numberofholes              = 0;
3005   inputCtx->holelist                   = NULL;
3006   inputCtx->numberofregions            = 0;
3007   inputCtx->regionlist                 = NULL;
3008   PetscFunctionReturn(0);
3009 }
3010 
3011 #undef __FUNCT__
3012 #define __FUNCT__ "InitOutput_Triangle"
3013 PetscErrorCode InitOutput_Triangle(struct triangulateio *outputCtx)
3014 {
3015   PetscFunctionBegin;
3016   outputCtx->numberofpoints        = 0;
3017   outputCtx->pointlist             = NULL;
3018   outputCtx->pointattributelist    = NULL;
3019   outputCtx->pointmarkerlist       = NULL;
3020   outputCtx->numberoftriangles     = 0;
3021   outputCtx->trianglelist          = NULL;
3022   outputCtx->triangleattributelist = NULL;
3023   outputCtx->neighborlist          = NULL;
3024   outputCtx->segmentlist           = NULL;
3025   outputCtx->segmentmarkerlist     = NULL;
3026   outputCtx->numberofedges         = 0;
3027   outputCtx->edgelist              = NULL;
3028   outputCtx->edgemarkerlist        = NULL;
3029   PetscFunctionReturn(0);
3030 }
3031 
3032 #undef __FUNCT__
3033 #define __FUNCT__ "FiniOutput_Triangle"
3034 PetscErrorCode FiniOutput_Triangle(struct triangulateio *outputCtx)
3035 {
3036   PetscFunctionBegin;
3037   free(outputCtx->pointmarkerlist);
3038   free(outputCtx->edgelist);
3039   free(outputCtx->edgemarkerlist);
3040   free(outputCtx->trianglelist);
3041   free(outputCtx->neighborlist);
3042   PetscFunctionReturn(0);
3043 }
3044 
3045 #undef __FUNCT__
3046 #define __FUNCT__ "DMPlexGenerate_Triangle"
3047 PetscErrorCode DMPlexGenerate_Triangle(DM boundary, PetscBool interpolate, DM *dm)
3048 {
3049   MPI_Comm             comm;
3050   PetscInt             dim              = 2;
3051   const PetscBool      createConvexHull = PETSC_FALSE;
3052   const PetscBool      constrained      = PETSC_FALSE;
3053   struct triangulateio in;
3054   struct triangulateio out;
3055   PetscInt             vStart, vEnd, v, eStart, eEnd, e;
3056   PetscMPIInt          rank;
3057   PetscErrorCode       ierr;
3058 
3059   PetscFunctionBegin;
3060   ierr = PetscObjectGetComm((PetscObject)boundary,&comm);CHKERRQ(ierr);
3061   ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr);
3062   ierr = InitInput_Triangle(&in);CHKERRQ(ierr);
3063   ierr = InitOutput_Triangle(&out);CHKERRQ(ierr);
3064   ierr = DMPlexGetDepthStratum(boundary, 0, &vStart, &vEnd);CHKERRQ(ierr);
3065 
3066   in.numberofpoints = vEnd - vStart;
3067   if (in.numberofpoints > 0) {
3068     PetscSection coordSection;
3069     Vec          coordinates;
3070     PetscScalar *array;
3071 
3072     ierr = PetscMalloc(in.numberofpoints*dim * sizeof(double), &in.pointlist);CHKERRQ(ierr);
3073     ierr = PetscMalloc(in.numberofpoints * sizeof(int), &in.pointmarkerlist);CHKERRQ(ierr);
3074     ierr = DMGetCoordinatesLocal(boundary, &coordinates);CHKERRQ(ierr);
3075     ierr = DMPlexGetCoordinateSection(boundary, &coordSection);CHKERRQ(ierr);
3076     ierr = VecGetArray(coordinates, &array);CHKERRQ(ierr);
3077     for (v = vStart; v < vEnd; ++v) {
3078       const PetscInt idx = v - vStart;
3079       PetscInt       off, d;
3080 
3081       ierr = PetscSectionGetOffset(coordSection, v, &off);CHKERRQ(ierr);
3082       for (d = 0; d < dim; ++d) {
3083         in.pointlist[idx*dim + d] = PetscRealPart(array[off+d]);
3084       }
3085       ierr = DMPlexGetLabelValue(boundary, "marker", v, &in.pointmarkerlist[idx]);CHKERRQ(ierr);
3086     }
3087     ierr = VecRestoreArray(coordinates, &array);CHKERRQ(ierr);
3088   }
3089   ierr  = DMPlexGetHeightStratum(boundary, 0, &eStart, &eEnd);CHKERRQ(ierr);
3090   in.numberofsegments = eEnd - eStart;
3091   if (in.numberofsegments > 0) {
3092     ierr = PetscMalloc(in.numberofsegments*2 * sizeof(int), &in.segmentlist);CHKERRQ(ierr);
3093     ierr = PetscMalloc(in.numberofsegments   * sizeof(int), &in.segmentmarkerlist);CHKERRQ(ierr);
3094     for (e = eStart; e < eEnd; ++e) {
3095       const PetscInt  idx = e - eStart;
3096       const PetscInt *cone;
3097 
3098       ierr = DMPlexGetCone(boundary, e, &cone);CHKERRQ(ierr);
3099 
3100       in.segmentlist[idx*2+0] = cone[0] - vStart;
3101       in.segmentlist[idx*2+1] = cone[1] - vStart;
3102 
3103       ierr = DMPlexGetLabelValue(boundary, "marker", e, &in.segmentmarkerlist[idx]);CHKERRQ(ierr);
3104     }
3105   }
3106 #if 0 /* Do not currently support holes */
3107   PetscReal *holeCoords;
3108   PetscInt   h, d;
3109 
3110   ierr = DMPlexGetHoles(boundary, &in.numberofholes, &holeCords);CHKERRQ(ierr);
3111   if (in.numberofholes > 0) {
3112     ierr = PetscMalloc(in.numberofholes*dim * sizeof(double), &in.holelist);CHKERRQ(ierr);
3113     for (h = 0; h < in.numberofholes; ++h) {
3114       for (d = 0; d < dim; ++d) {
3115         in.holelist[h*dim+d] = holeCoords[h*dim+d];
3116       }
3117     }
3118   }
3119 #endif
3120   if (!rank) {
3121     char args[32];
3122 
3123     /* Take away 'Q' for verbose output */
3124     ierr = PetscStrcpy(args, "pqezQ");CHKERRQ(ierr);
3125     if (createConvexHull) {
3126       ierr = PetscStrcat(args, "c");CHKERRQ(ierr);
3127     }
3128     if (constrained) {
3129       ierr = PetscStrcpy(args, "zepDQ");CHKERRQ(ierr);
3130     }
3131     triangulate(args, &in, &out, NULL);
3132   }
3133   ierr = PetscFree(in.pointlist);CHKERRQ(ierr);
3134   ierr = PetscFree(in.pointmarkerlist);CHKERRQ(ierr);
3135   ierr = PetscFree(in.segmentlist);CHKERRQ(ierr);
3136   ierr = PetscFree(in.segmentmarkerlist);CHKERRQ(ierr);
3137   ierr = PetscFree(in.holelist);CHKERRQ(ierr);
3138 
3139   {
3140     const PetscInt numCorners  = 3;
3141     const PetscInt numCells    = out.numberoftriangles;
3142     const PetscInt numVertices = out.numberofpoints;
3143     const int     *cells      = out.trianglelist;
3144     const double  *meshCoords = out.pointlist;
3145 
3146     ierr = DMPlexCreateFromCellList(comm, dim, numCells, numVertices, numCorners, interpolate, cells, dim, meshCoords, dm);CHKERRQ(ierr);
3147     /* Set labels */
3148     for (v = 0; v < numVertices; ++v) {
3149       if (out.pointmarkerlist[v]) {
3150         ierr = DMPlexSetLabelValue(*dm, "marker", v+numCells, out.pointmarkerlist[v]);CHKERRQ(ierr);
3151       }
3152     }
3153     if (interpolate) {
3154       for (e = 0; e < out.numberofedges; e++) {
3155         if (out.edgemarkerlist[e]) {
3156           const PetscInt  vertices[2] = {out.edgelist[e*2+0]+numCells, out.edgelist[e*2+1]+numCells};
3157           const PetscInt *edges;
3158           PetscInt        numEdges;
3159 
3160           ierr = DMPlexGetJoin(*dm, 2, vertices, &numEdges, &edges);CHKERRQ(ierr);
3161           if (numEdges != 1) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Two vertices must cover only one edge, not %D", numEdges);
3162           ierr = DMPlexSetLabelValue(*dm, "marker", edges[0], out.edgemarkerlist[e]);CHKERRQ(ierr);
3163           ierr = DMPlexRestoreJoin(*dm, 2, vertices, &numEdges, &edges);CHKERRQ(ierr);
3164         }
3165       }
3166     }
3167     ierr = DMPlexSetRefinementUniform(*dm, PETSC_FALSE);CHKERRQ(ierr);
3168   }
3169 #if 0 /* Do not currently support holes */
3170   ierr = DMPlexCopyHoles(*dm, boundary);CHKERRQ(ierr);
3171 #endif
3172   ierr = FiniOutput_Triangle(&out);CHKERRQ(ierr);
3173   PetscFunctionReturn(0);
3174 }
3175 
3176 #undef __FUNCT__
3177 #define __FUNCT__ "DMPlexRefine_Triangle"
3178 PetscErrorCode DMPlexRefine_Triangle(DM dm, double *maxVolumes, DM *dmRefined)
3179 {
3180   MPI_Comm             comm;
3181   PetscInt             dim  = 2;
3182   struct triangulateio in;
3183   struct triangulateio out;
3184   PetscInt             vStart, vEnd, v, cStart, cEnd, c, depth, depthGlobal;
3185   PetscMPIInt          rank;
3186   PetscErrorCode       ierr;
3187 
3188   PetscFunctionBegin;
3189   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
3190   ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr);
3191   ierr = InitInput_Triangle(&in);CHKERRQ(ierr);
3192   ierr = InitOutput_Triangle(&out);CHKERRQ(ierr);
3193   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
3194   ierr = MPI_Allreduce(&depth, &depthGlobal, 1, MPIU_INT, MPI_MAX, comm);CHKERRQ(ierr);
3195   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
3196 
3197   in.numberofpoints = vEnd - vStart;
3198   if (in.numberofpoints > 0) {
3199     PetscSection coordSection;
3200     Vec          coordinates;
3201     PetscScalar *array;
3202 
3203     ierr = PetscMalloc(in.numberofpoints*dim * sizeof(double), &in.pointlist);CHKERRQ(ierr);
3204     ierr = PetscMalloc(in.numberofpoints * sizeof(int), &in.pointmarkerlist);CHKERRQ(ierr);
3205     ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
3206     ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
3207     ierr = VecGetArray(coordinates, &array);CHKERRQ(ierr);
3208     for (v = vStart; v < vEnd; ++v) {
3209       const PetscInt idx = v - vStart;
3210       PetscInt       off, d;
3211 
3212       ierr = PetscSectionGetOffset(coordSection, v, &off);CHKERRQ(ierr);
3213       for (d = 0; d < dim; ++d) {
3214         in.pointlist[idx*dim + d] = PetscRealPart(array[off+d]);
3215       }
3216       ierr = DMPlexGetLabelValue(dm, "marker", v, &in.pointmarkerlist[idx]);CHKERRQ(ierr);
3217     }
3218     ierr = VecRestoreArray(coordinates, &array);CHKERRQ(ierr);
3219   }
3220   ierr  = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
3221 
3222   in.numberofcorners   = 3;
3223   in.numberoftriangles = cEnd - cStart;
3224 
3225   in.trianglearealist  = (double*) maxVolumes;
3226   if (in.numberoftriangles > 0) {
3227     ierr = PetscMalloc(in.numberoftriangles*in.numberofcorners * sizeof(int), &in.trianglelist);CHKERRQ(ierr);
3228     for (c = cStart; c < cEnd; ++c) {
3229       const PetscInt idx      = c - cStart;
3230       PetscInt      *closure = NULL;
3231       PetscInt       closureSize;
3232 
3233       ierr = DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
3234       if ((closureSize != 4) && (closureSize != 7)) SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Mesh has cell which is not a triangle, %D vertices in closure", closureSize);
3235       for (v = 0; v < 3; ++v) {
3236         in.trianglelist[idx*in.numberofcorners + v] = closure[(v+closureSize-3)*2] - vStart;
3237       }
3238       ierr = DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
3239     }
3240   }
3241   /* TODO: Segment markers are missing on input */
3242 #if 0 /* Do not currently support holes */
3243   PetscReal *holeCoords;
3244   PetscInt   h, d;
3245 
3246   ierr = DMPlexGetHoles(boundary, &in.numberofholes, &holeCords);CHKERRQ(ierr);
3247   if (in.numberofholes > 0) {
3248     ierr = PetscMalloc(in.numberofholes*dim * sizeof(double), &in.holelist);CHKERRQ(ierr);
3249     for (h = 0; h < in.numberofholes; ++h) {
3250       for (d = 0; d < dim; ++d) {
3251         in.holelist[h*dim+d] = holeCoords[h*dim+d];
3252       }
3253     }
3254   }
3255 #endif
3256   if (!rank) {
3257     char args[32];
3258 
3259     /* Take away 'Q' for verbose output */
3260     ierr = PetscStrcpy(args, "pqezQra");CHKERRQ(ierr);
3261     triangulate(args, &in, &out, NULL);
3262   }
3263   ierr = PetscFree(in.pointlist);CHKERRQ(ierr);
3264   ierr = PetscFree(in.pointmarkerlist);CHKERRQ(ierr);
3265   ierr = PetscFree(in.segmentlist);CHKERRQ(ierr);
3266   ierr = PetscFree(in.segmentmarkerlist);CHKERRQ(ierr);
3267   ierr = PetscFree(in.trianglelist);CHKERRQ(ierr);
3268 
3269   {
3270     const PetscInt numCorners  = 3;
3271     const PetscInt numCells    = out.numberoftriangles;
3272     const PetscInt numVertices = out.numberofpoints;
3273     const int     *cells      = out.trianglelist;
3274     const double  *meshCoords = out.pointlist;
3275     PetscBool      interpolate = depthGlobal > 1 ? PETSC_TRUE : PETSC_FALSE;
3276 
3277     ierr = DMPlexCreateFromCellList(comm, dim, numCells, numVertices, numCorners, interpolate, cells, dim, meshCoords, dmRefined);CHKERRQ(ierr);
3278     /* Set labels */
3279     for (v = 0; v < numVertices; ++v) {
3280       if (out.pointmarkerlist[v]) {
3281         ierr = DMPlexSetLabelValue(*dmRefined, "marker", v+numCells, out.pointmarkerlist[v]);CHKERRQ(ierr);
3282       }
3283     }
3284     if (interpolate) {
3285       PetscInt e;
3286 
3287       for (e = 0; e < out.numberofedges; e++) {
3288         if (out.edgemarkerlist[e]) {
3289           const PetscInt  vertices[2] = {out.edgelist[e*2+0]+numCells, out.edgelist[e*2+1]+numCells};
3290           const PetscInt *edges;
3291           PetscInt        numEdges;
3292 
3293           ierr = DMPlexGetJoin(*dmRefined, 2, vertices, &numEdges, &edges);CHKERRQ(ierr);
3294           if (numEdges != 1) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Two vertices must cover only one edge, not %D", numEdges);
3295           ierr = DMPlexSetLabelValue(*dmRefined, "marker", edges[0], out.edgemarkerlist[e]);CHKERRQ(ierr);
3296           ierr = DMPlexRestoreJoin(*dmRefined, 2, vertices, &numEdges, &edges);CHKERRQ(ierr);
3297         }
3298       }
3299     }
3300     ierr = DMPlexSetRefinementUniform(*dmRefined, PETSC_FALSE);CHKERRQ(ierr);
3301   }
3302 #if 0 /* Do not currently support holes */
3303   ierr = DMPlexCopyHoles(*dm, boundary);CHKERRQ(ierr);
3304 #endif
3305   ierr = FiniOutput_Triangle(&out);CHKERRQ(ierr);
3306   PetscFunctionReturn(0);
3307 }
3308 #endif
3309 
3310 #if defined(PETSC_HAVE_TETGEN)
3311 #include <tetgen.h>
3312 #undef __FUNCT__
3313 #define __FUNCT__ "DMPlexGenerate_Tetgen"
3314 PetscErrorCode DMPlexGenerate_Tetgen(DM boundary, PetscBool interpolate, DM *dm)
3315 {
3316   MPI_Comm       comm;
3317   const PetscInt dim  = 3;
3318   ::tetgenio     in;
3319   ::tetgenio     out;
3320   PetscInt       vStart, vEnd, v, fStart, fEnd, f;
3321   PetscMPIInt    rank;
3322   PetscErrorCode ierr;
3323 
3324   PetscFunctionBegin;
3325   ierr              = PetscObjectGetComm((PetscObject)boundary,&comm);CHKERRQ(ierr);
3326   ierr              = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr);
3327   ierr              = DMPlexGetDepthStratum(boundary, 0, &vStart, &vEnd);CHKERRQ(ierr);
3328   in.numberofpoints = vEnd - vStart;
3329   if (in.numberofpoints > 0) {
3330     PetscSection coordSection;
3331     Vec          coordinates;
3332     PetscScalar *array;
3333 
3334     in.pointlist       = new double[in.numberofpoints*dim];
3335     in.pointmarkerlist = new int[in.numberofpoints];
3336 
3337     ierr = DMGetCoordinatesLocal(boundary, &coordinates);CHKERRQ(ierr);
3338     ierr = DMPlexGetCoordinateSection(boundary, &coordSection);CHKERRQ(ierr);
3339     ierr = VecGetArray(coordinates, &array);CHKERRQ(ierr);
3340     for (v = vStart; v < vEnd; ++v) {
3341       const PetscInt idx = v - vStart;
3342       PetscInt       off, d;
3343 
3344       ierr = PetscSectionGetOffset(coordSection, v, &off);CHKERRQ(ierr);
3345       for (d = 0; d < dim; ++d) in.pointlist[idx*dim + d] = array[off+d];
3346       ierr = DMPlexGetLabelValue(boundary, "marker", v, &in.pointmarkerlist[idx]);CHKERRQ(ierr);
3347     }
3348     ierr = VecRestoreArray(coordinates, &array);CHKERRQ(ierr);
3349   }
3350   ierr  = DMPlexGetHeightStratum(boundary, 0, &fStart, &fEnd);CHKERRQ(ierr);
3351 
3352   in.numberoffacets = fEnd - fStart;
3353   if (in.numberoffacets > 0) {
3354     in.facetlist       = new tetgenio::facet[in.numberoffacets];
3355     in.facetmarkerlist = new int[in.numberoffacets];
3356     for (f = fStart; f < fEnd; ++f) {
3357       const PetscInt idx     = f - fStart;
3358       PetscInt      *points = NULL, numPoints, p, numVertices = 0, v;
3359 
3360       in.facetlist[idx].numberofpolygons = 1;
3361       in.facetlist[idx].polygonlist      = new tetgenio::polygon[in.facetlist[idx].numberofpolygons];
3362       in.facetlist[idx].numberofholes    = 0;
3363       in.facetlist[idx].holelist         = NULL;
3364 
3365       ierr = DMPlexGetTransitiveClosure(boundary, f, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
3366       for (p = 0; p < numPoints*2; p += 2) {
3367         const PetscInt point = points[p];
3368         if ((point >= vStart) && (point < vEnd)) points[numVertices++] = point;
3369       }
3370 
3371       tetgenio::polygon *poly = in.facetlist[idx].polygonlist;
3372       poly->numberofvertices = numVertices;
3373       poly->vertexlist       = new int[poly->numberofvertices];
3374       for (v = 0; v < numVertices; ++v) {
3375         const PetscInt vIdx = points[v] - vStart;
3376         poly->vertexlist[v] = vIdx;
3377       }
3378       ierr = DMPlexGetLabelValue(boundary, "marker", f, &in.facetmarkerlist[idx]);CHKERRQ(ierr);
3379       ierr = DMPlexRestoreTransitiveClosure(boundary, f, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
3380     }
3381   }
3382   if (!rank) {
3383     char args[32];
3384 
3385     /* Take away 'Q' for verbose output */
3386     ierr = PetscStrcpy(args, "pqezQ");CHKERRQ(ierr);
3387     ::tetrahedralize(args, &in, &out);
3388   }
3389   {
3390     const PetscInt numCorners  = 4;
3391     const PetscInt numCells    = out.numberoftetrahedra;
3392     const PetscInt numVertices = out.numberofpoints;
3393     const double   *meshCoords = out.pointlist;
3394     int            *cells      = out.tetrahedronlist;
3395 
3396     ierr = DMPlexInvertCells_Internal(numCells, numCorners, cells);CHKERRQ(ierr);
3397     ierr = DMPlexCreateFromCellList(comm, dim, numCells, numVertices, numCorners, interpolate, cells, dim, meshCoords, dm);CHKERRQ(ierr);
3398     /* Set labels */
3399     for (v = 0; v < numVertices; ++v) {
3400       if (out.pointmarkerlist[v]) {
3401         ierr = DMPlexSetLabelValue(*dm, "marker", v+numCells, out.pointmarkerlist[v]);CHKERRQ(ierr);
3402       }
3403     }
3404     if (interpolate) {
3405       PetscInt e;
3406 
3407       for (e = 0; e < out.numberofedges; e++) {
3408         if (out.edgemarkerlist[e]) {
3409           const PetscInt  vertices[2] = {out.edgelist[e*2+0]+numCells, out.edgelist[e*2+1]+numCells};
3410           const PetscInt *edges;
3411           PetscInt        numEdges;
3412 
3413           ierr = DMPlexGetJoin(*dm, 2, vertices, &numEdges, &edges);CHKERRQ(ierr);
3414           if (numEdges != 1) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Two vertices must cover only one edge, not %D", numEdges);
3415           ierr = DMPlexSetLabelValue(*dm, "marker", edges[0], out.edgemarkerlist[e]);CHKERRQ(ierr);
3416           ierr = DMPlexRestoreJoin(*dm, 2, vertices, &numEdges, &edges);CHKERRQ(ierr);
3417         }
3418       }
3419       for (f = 0; f < out.numberoftrifaces; f++) {
3420         if (out.trifacemarkerlist[f]) {
3421           const PetscInt  vertices[3] = {out.trifacelist[f*3+0]+numCells, out.trifacelist[f*3+1]+numCells, out.trifacelist[f*3+2]+numCells};
3422           const PetscInt *faces;
3423           PetscInt        numFaces;
3424 
3425           ierr = DMPlexGetJoin(*dm, 3, vertices, &numFaces, &faces);CHKERRQ(ierr);
3426           if (numFaces != 1) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Three vertices must cover only one face, not %D", numFaces);
3427           ierr = DMPlexSetLabelValue(*dm, "marker", faces[0], out.trifacemarkerlist[f]);CHKERRQ(ierr);
3428           ierr = DMPlexRestoreJoin(*dm, 3, vertices, &numFaces, &faces);CHKERRQ(ierr);
3429         }
3430       }
3431     }
3432     ierr = DMPlexSetRefinementUniform(*dm, PETSC_FALSE);CHKERRQ(ierr);
3433   }
3434   PetscFunctionReturn(0);
3435 }
3436 
3437 #undef __FUNCT__
3438 #define __FUNCT__ "DMPlexRefine_Tetgen"
3439 PetscErrorCode DMPlexRefine_Tetgen(DM dm, double *maxVolumes, DM *dmRefined)
3440 {
3441   MPI_Comm       comm;
3442   const PetscInt dim  = 3;
3443   ::tetgenio     in;
3444   ::tetgenio     out;
3445   PetscInt       vStart, vEnd, v, cStart, cEnd, c, depth, depthGlobal;
3446   PetscMPIInt    rank;
3447   PetscErrorCode ierr;
3448 
3449   PetscFunctionBegin;
3450   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
3451   ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr);
3452   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
3453   ierr = MPI_Allreduce(&depth, &depthGlobal, 1, MPIU_INT, MPI_MAX, comm);CHKERRQ(ierr);
3454   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
3455 
3456   in.numberofpoints = vEnd - vStart;
3457   if (in.numberofpoints > 0) {
3458     PetscSection coordSection;
3459     Vec          coordinates;
3460     PetscScalar *array;
3461 
3462     in.pointlist       = new double[in.numberofpoints*dim];
3463     in.pointmarkerlist = new int[in.numberofpoints];
3464 
3465     ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
3466     ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
3467     ierr = VecGetArray(coordinates, &array);CHKERRQ(ierr);
3468     for (v = vStart; v < vEnd; ++v) {
3469       const PetscInt idx = v - vStart;
3470       PetscInt       off, d;
3471 
3472       ierr = PetscSectionGetOffset(coordSection, v, &off);CHKERRQ(ierr);
3473       for (d = 0; d < dim; ++d) in.pointlist[idx*dim + d] = array[off+d];
3474       ierr = DMPlexGetLabelValue(dm, "marker", v, &in.pointmarkerlist[idx]);CHKERRQ(ierr);
3475     }
3476     ierr = VecRestoreArray(coordinates, &array);CHKERRQ(ierr);
3477   }
3478   ierr  = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
3479 
3480   in.numberofcorners       = 4;
3481   in.numberoftetrahedra    = cEnd - cStart;
3482   in.tetrahedronvolumelist = (double*) maxVolumes;
3483   if (in.numberoftetrahedra > 0) {
3484     in.tetrahedronlist = new int[in.numberoftetrahedra*in.numberofcorners];
3485     for (c = cStart; c < cEnd; ++c) {
3486       const PetscInt idx      = c - cStart;
3487       PetscInt      *closure = NULL;
3488       PetscInt       closureSize;
3489 
3490       ierr = DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
3491       if ((closureSize != 5) && (closureSize != 15)) SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Mesh has cell which is not a tetrahedron, %D vertices in closure", closureSize);
3492       for (v = 0; v < 4; ++v) {
3493         in.tetrahedronlist[idx*in.numberofcorners + v] = closure[(v+closureSize-4)*2] - vStart;
3494       }
3495       ierr = DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
3496     }
3497   }
3498   /* TODO: Put in boundary faces with markers */
3499   if (!rank) {
3500     char args[32];
3501 
3502     /* Take away 'Q' for verbose output */
3503     /*ierr = PetscStrcpy(args, "qezQra");CHKERRQ(ierr); */
3504     ierr = PetscStrcpy(args, "qezraVVVV");CHKERRQ(ierr);
3505     ::tetrahedralize(args, &in, &out);
3506   }
3507   in.tetrahedronvolumelist = NULL;
3508 
3509   {
3510     const PetscInt numCorners  = 4;
3511     const PetscInt numCells    = out.numberoftetrahedra;
3512     const PetscInt numVertices = out.numberofpoints;
3513     const double   *meshCoords = out.pointlist;
3514     int            *cells      = out.tetrahedronlist;
3515 
3516     PetscBool      interpolate = depthGlobal > 1 ? PETSC_TRUE : PETSC_FALSE;
3517 
3518     ierr = DMPlexInvertCells_Internal(numCells, numCorners, cells);CHKERRQ(ierr);
3519     ierr = DMPlexCreateFromCellList(comm, dim, numCells, numVertices, numCorners, interpolate, cells, dim, meshCoords, dmRefined);CHKERRQ(ierr);
3520     /* Set labels */
3521     for (v = 0; v < numVertices; ++v) {
3522       if (out.pointmarkerlist[v]) {
3523         ierr = DMPlexSetLabelValue(*dmRefined, "marker", v+numCells, out.pointmarkerlist[v]);CHKERRQ(ierr);
3524       }
3525     }
3526     if (interpolate) {
3527       PetscInt e, f;
3528 
3529       for (e = 0; e < out.numberofedges; e++) {
3530         if (out.edgemarkerlist[e]) {
3531           const PetscInt  vertices[2] = {out.edgelist[e*2+0]+numCells, out.edgelist[e*2+1]+numCells};
3532           const PetscInt *edges;
3533           PetscInt        numEdges;
3534 
3535           ierr = DMPlexGetJoin(*dmRefined, 2, vertices, &numEdges, &edges);CHKERRQ(ierr);
3536           if (numEdges != 1) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Two vertices must cover only one edge, not %D", numEdges);
3537           ierr = DMPlexSetLabelValue(*dmRefined, "marker", edges[0], out.edgemarkerlist[e]);CHKERRQ(ierr);
3538           ierr = DMPlexRestoreJoin(*dmRefined, 2, vertices, &numEdges, &edges);CHKERRQ(ierr);
3539         }
3540       }
3541       for (f = 0; f < out.numberoftrifaces; f++) {
3542         if (out.trifacemarkerlist[f]) {
3543           const PetscInt  vertices[3] = {out.trifacelist[f*3+0]+numCells, out.trifacelist[f*3+1]+numCells, out.trifacelist[f*3+2]+numCells};
3544           const PetscInt *faces;
3545           PetscInt        numFaces;
3546 
3547           ierr = DMPlexGetJoin(*dmRefined, 3, vertices, &numFaces, &faces);CHKERRQ(ierr);
3548           if (numFaces != 1) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Three vertices must cover only one face, not %D", numFaces);
3549           ierr = DMPlexSetLabelValue(*dmRefined, "marker", faces[0], out.trifacemarkerlist[f]);CHKERRQ(ierr);
3550           ierr = DMPlexRestoreJoin(*dmRefined, 3, vertices, &numFaces, &faces);CHKERRQ(ierr);
3551         }
3552       }
3553     }
3554     ierr = DMPlexSetRefinementUniform(*dmRefined, PETSC_FALSE);CHKERRQ(ierr);
3555   }
3556   PetscFunctionReturn(0);
3557 }
3558 #endif
3559 
3560 #if defined(PETSC_HAVE_CTETGEN)
3561 #include "ctetgen.h"
3562 
3563 #undef __FUNCT__
3564 #define __FUNCT__ "DMPlexGenerate_CTetgen"
3565 PetscErrorCode DMPlexGenerate_CTetgen(DM boundary, PetscBool interpolate, DM *dm)
3566 {
3567   MPI_Comm       comm;
3568   const PetscInt dim  = 3;
3569   PLC           *in, *out;
3570   PetscInt       verbose = 0, vStart, vEnd, v, fStart, fEnd, f;
3571   PetscMPIInt    rank;
3572   PetscErrorCode ierr;
3573 
3574   PetscFunctionBegin;
3575   ierr = PetscObjectGetComm((PetscObject)boundary,&comm);CHKERRQ(ierr);
3576   ierr = PetscOptionsGetInt(((PetscObject) boundary)->prefix, "-ctetgen_verbose", &verbose, NULL);CHKERRQ(ierr);
3577   ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr);
3578   ierr = DMPlexGetDepthStratum(boundary, 0, &vStart, &vEnd);CHKERRQ(ierr);
3579   ierr = PLCCreate(&in);CHKERRQ(ierr);
3580   ierr = PLCCreate(&out);CHKERRQ(ierr);
3581 
3582   in->numberofpoints = vEnd - vStart;
3583   if (in->numberofpoints > 0) {
3584     PetscSection coordSection;
3585     Vec          coordinates;
3586     PetscScalar *array;
3587 
3588     ierr = PetscMalloc(in->numberofpoints*dim * sizeof(PetscReal), &in->pointlist);CHKERRQ(ierr);
3589     ierr = PetscMalloc(in->numberofpoints     * sizeof(int),       &in->pointmarkerlist);CHKERRQ(ierr);
3590     ierr = DMGetCoordinatesLocal(boundary, &coordinates);CHKERRQ(ierr);
3591     ierr = DMPlexGetCoordinateSection(boundary, &coordSection);CHKERRQ(ierr);
3592     ierr = VecGetArray(coordinates, &array);CHKERRQ(ierr);
3593     for (v = vStart; v < vEnd; ++v) {
3594       const PetscInt idx = v - vStart;
3595       PetscInt       off, d, m;
3596 
3597       ierr = PetscSectionGetOffset(coordSection, v, &off);CHKERRQ(ierr);
3598       for (d = 0; d < dim; ++d) {
3599         in->pointlist[idx*dim + d] = PetscRealPart(array[off+d]);
3600       }
3601       ierr = DMPlexGetLabelValue(boundary, "marker", v, &m);CHKERRQ(ierr);
3602 
3603       in->pointmarkerlist[idx] = (int) m;
3604     }
3605     ierr = VecRestoreArray(coordinates, &array);CHKERRQ(ierr);
3606   }
3607   ierr  = DMPlexGetHeightStratum(boundary, 0, &fStart, &fEnd);CHKERRQ(ierr);
3608 
3609   in->numberoffacets = fEnd - fStart;
3610   if (in->numberoffacets > 0) {
3611     ierr = PetscMalloc(in->numberoffacets * sizeof(facet), &in->facetlist);CHKERRQ(ierr);
3612     ierr = PetscMalloc(in->numberoffacets * sizeof(int),   &in->facetmarkerlist);CHKERRQ(ierr);
3613     for (f = fStart; f < fEnd; ++f) {
3614       const PetscInt idx     = f - fStart;
3615       PetscInt      *points = NULL, numPoints, p, numVertices = 0, v, m;
3616       polygon       *poly;
3617 
3618       in->facetlist[idx].numberofpolygons = 1;
3619 
3620       ierr = PetscMalloc(in->facetlist[idx].numberofpolygons * sizeof(polygon), &in->facetlist[idx].polygonlist);CHKERRQ(ierr);
3621 
3622       in->facetlist[idx].numberofholes    = 0;
3623       in->facetlist[idx].holelist         = NULL;
3624 
3625       ierr = DMPlexGetTransitiveClosure(boundary, f, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
3626       for (p = 0; p < numPoints*2; p += 2) {
3627         const PetscInt point = points[p];
3628         if ((point >= vStart) && (point < vEnd)) points[numVertices++] = point;
3629       }
3630 
3631       poly                   = in->facetlist[idx].polygonlist;
3632       poly->numberofvertices = numVertices;
3633       ierr                   = PetscMalloc(poly->numberofvertices * sizeof(int), &poly->vertexlist);CHKERRQ(ierr);
3634       for (v = 0; v < numVertices; ++v) {
3635         const PetscInt vIdx = points[v] - vStart;
3636         poly->vertexlist[v] = vIdx;
3637       }
3638       ierr                     = DMPlexGetLabelValue(boundary, "marker", f, &m);CHKERRQ(ierr);
3639       in->facetmarkerlist[idx] = (int) m;
3640       ierr                     = DMPlexRestoreTransitiveClosure(boundary, f, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
3641     }
3642   }
3643   if (!rank) {
3644     TetGenOpts t;
3645 
3646     ierr        = TetGenOptsInitialize(&t);CHKERRQ(ierr);
3647     t.in        = boundary; /* Should go away */
3648     t.plc       = 1;
3649     t.quality   = 1;
3650     t.edgesout  = 1;
3651     t.zeroindex = 1;
3652     t.quiet     = 1;
3653     t.verbose   = verbose;
3654     ierr        = TetGenCheckOpts(&t);CHKERRQ(ierr);
3655     ierr        = TetGenTetrahedralize(&t, in, out);CHKERRQ(ierr);
3656   }
3657   {
3658     const PetscInt numCorners  = 4;
3659     const PetscInt numCells    = out->numberoftetrahedra;
3660     const PetscInt numVertices = out->numberofpoints;
3661     const double   *meshCoords = out->pointlist;
3662     int            *cells      = out->tetrahedronlist;
3663 
3664     ierr = DMPlexInvertCells_Internal(numCells, numCorners, cells);CHKERRQ(ierr);
3665     ierr = DMPlexCreateFromCellList(comm, dim, numCells, numVertices, numCorners, interpolate, cells, dim, meshCoords, dm);CHKERRQ(ierr);
3666     /* Set labels */
3667     for (v = 0; v < numVertices; ++v) {
3668       if (out->pointmarkerlist[v]) {
3669         ierr = DMPlexSetLabelValue(*dm, "marker", v+numCells, out->pointmarkerlist[v]);CHKERRQ(ierr);
3670       }
3671     }
3672     if (interpolate) {
3673       PetscInt e;
3674 
3675       for (e = 0; e < out->numberofedges; e++) {
3676         if (out->edgemarkerlist[e]) {
3677           const PetscInt  vertices[2] = {out->edgelist[e*2+0]+numCells, out->edgelist[e*2+1]+numCells};
3678           const PetscInt *edges;
3679           PetscInt        numEdges;
3680 
3681           ierr = DMPlexGetJoin(*dm, 2, vertices, &numEdges, &edges);CHKERRQ(ierr);
3682           if (numEdges != 1) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Two vertices must cover only one edge, not %D", numEdges);
3683           ierr = DMPlexSetLabelValue(*dm, "marker", edges[0], out->edgemarkerlist[e]);CHKERRQ(ierr);
3684           ierr = DMPlexRestoreJoin(*dm, 2, vertices, &numEdges, &edges);CHKERRQ(ierr);
3685         }
3686       }
3687       for (f = 0; f < out->numberoftrifaces; f++) {
3688         if (out->trifacemarkerlist[f]) {
3689           const PetscInt  vertices[3] = {out->trifacelist[f*3+0]+numCells, out->trifacelist[f*3+1]+numCells, out->trifacelist[f*3+2]+numCells};
3690           const PetscInt *faces;
3691           PetscInt        numFaces;
3692 
3693           ierr = DMPlexGetFullJoin(*dm, 3, vertices, &numFaces, &faces);CHKERRQ(ierr);
3694           if (numFaces != 1) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Three vertices must cover only one face, not %D", numFaces);
3695           ierr = DMPlexSetLabelValue(*dm, "marker", faces[0], out->trifacemarkerlist[f]);CHKERRQ(ierr);
3696           ierr = DMPlexRestoreJoin(*dm, 3, vertices, &numFaces, &faces);CHKERRQ(ierr);
3697         }
3698       }
3699     }
3700     ierr = DMPlexSetRefinementUniform(*dm, PETSC_FALSE);CHKERRQ(ierr);
3701   }
3702 
3703   ierr = PLCDestroy(&in);CHKERRQ(ierr);
3704   ierr = PLCDestroy(&out);CHKERRQ(ierr);
3705   PetscFunctionReturn(0);
3706 }
3707 
3708 #undef __FUNCT__
3709 #define __FUNCT__ "DMPlexRefine_CTetgen"
3710 PetscErrorCode DMPlexRefine_CTetgen(DM dm, PetscReal *maxVolumes, DM *dmRefined)
3711 {
3712   MPI_Comm       comm;
3713   const PetscInt dim  = 3;
3714   PLC           *in, *out;
3715   PetscInt       verbose = 0, vStart, vEnd, v, cStart, cEnd, c, depth, depthGlobal;
3716   PetscMPIInt    rank;
3717   PetscErrorCode ierr;
3718 
3719   PetscFunctionBegin;
3720   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
3721   ierr = PetscOptionsGetInt(((PetscObject) dm)->prefix, "-ctetgen_verbose", &verbose, NULL);CHKERRQ(ierr);
3722   ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr);
3723   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
3724   ierr = MPI_Allreduce(&depth, &depthGlobal, 1, MPIU_INT, MPI_MAX, comm);CHKERRQ(ierr);
3725   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
3726   ierr = PLCCreate(&in);CHKERRQ(ierr);
3727   ierr = PLCCreate(&out);CHKERRQ(ierr);
3728 
3729   in->numberofpoints = vEnd - vStart;
3730   if (in->numberofpoints > 0) {
3731     PetscSection coordSection;
3732     Vec          coordinates;
3733     PetscScalar *array;
3734 
3735     ierr = PetscMalloc(in->numberofpoints*dim * sizeof(PetscReal), &in->pointlist);CHKERRQ(ierr);
3736     ierr = PetscMalloc(in->numberofpoints     * sizeof(int),       &in->pointmarkerlist);CHKERRQ(ierr);
3737     ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
3738     ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
3739     ierr = VecGetArray(coordinates, &array);CHKERRQ(ierr);
3740     for (v = vStart; v < vEnd; ++v) {
3741       const PetscInt idx = v - vStart;
3742       PetscInt       off, d, m;
3743 
3744       ierr = PetscSectionGetOffset(coordSection, v, &off);CHKERRQ(ierr);
3745       for (d = 0; d < dim; ++d) {
3746         in->pointlist[idx*dim + d] = PetscRealPart(array[off+d]);
3747       }
3748       ierr = DMPlexGetLabelValue(dm, "marker", v, &m);CHKERRQ(ierr);
3749 
3750       in->pointmarkerlist[idx] = (int) m;
3751     }
3752     ierr = VecRestoreArray(coordinates, &array);CHKERRQ(ierr);
3753   }
3754   ierr  = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
3755 
3756   in->numberofcorners       = 4;
3757   in->numberoftetrahedra    = cEnd - cStart;
3758   in->tetrahedronvolumelist = maxVolumes;
3759   if (in->numberoftetrahedra > 0) {
3760     ierr = PetscMalloc(in->numberoftetrahedra*in->numberofcorners * sizeof(int), &in->tetrahedronlist);CHKERRQ(ierr);
3761     for (c = cStart; c < cEnd; ++c) {
3762       const PetscInt idx      = c - cStart;
3763       PetscInt      *closure = NULL;
3764       PetscInt       closureSize;
3765 
3766       ierr = DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
3767       if ((closureSize != 5) && (closureSize != 15)) SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Mesh has cell which is not a tetrahedron, %D vertices in closure", closureSize);
3768       for (v = 0; v < 4; ++v) {
3769         in->tetrahedronlist[idx*in->numberofcorners + v] = closure[(v+closureSize-4)*2] - vStart;
3770       }
3771       ierr = DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
3772     }
3773   }
3774   if (!rank) {
3775     TetGenOpts t;
3776 
3777     ierr = TetGenOptsInitialize(&t);CHKERRQ(ierr);
3778 
3779     t.in        = dm; /* Should go away */
3780     t.refine    = 1;
3781     t.varvolume = 1;
3782     t.quality   = 1;
3783     t.edgesout  = 1;
3784     t.zeroindex = 1;
3785     t.quiet     = 1;
3786     t.verbose   = verbose; /* Change this */
3787 
3788     ierr = TetGenCheckOpts(&t);CHKERRQ(ierr);
3789     ierr = TetGenTetrahedralize(&t, in, out);CHKERRQ(ierr);
3790   }
3791   {
3792     const PetscInt numCorners  = 4;
3793     const PetscInt numCells    = out->numberoftetrahedra;
3794     const PetscInt numVertices = out->numberofpoints;
3795     const double   *meshCoords = out->pointlist;
3796     int            *cells      = out->tetrahedronlist;
3797     PetscBool      interpolate = depthGlobal > 1 ? PETSC_TRUE : PETSC_FALSE;
3798 
3799     ierr = DMPlexInvertCells_Internal(numCells, numCorners, cells);CHKERRQ(ierr);
3800     ierr = DMPlexCreateFromCellList(comm, dim, numCells, numVertices, numCorners, interpolate, cells, dim, meshCoords, dmRefined);CHKERRQ(ierr);
3801     /* Set labels */
3802     for (v = 0; v < numVertices; ++v) {
3803       if (out->pointmarkerlist[v]) {
3804         ierr = DMPlexSetLabelValue(*dmRefined, "marker", v+numCells, out->pointmarkerlist[v]);CHKERRQ(ierr);
3805       }
3806     }
3807     if (interpolate) {
3808       PetscInt e, f;
3809 
3810       for (e = 0; e < out->numberofedges; e++) {
3811         if (out->edgemarkerlist[e]) {
3812           const PetscInt  vertices[2] = {out->edgelist[e*2+0]+numCells, out->edgelist[e*2+1]+numCells};
3813           const PetscInt *edges;
3814           PetscInt        numEdges;
3815 
3816           ierr = DMPlexGetJoin(*dmRefined, 2, vertices, &numEdges, &edges);CHKERRQ(ierr);
3817           if (numEdges != 1) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Two vertices must cover only one edge, not %D", numEdges);
3818           ierr = DMPlexSetLabelValue(*dmRefined, "marker", edges[0], out->edgemarkerlist[e]);CHKERRQ(ierr);
3819           ierr = DMPlexRestoreJoin(*dmRefined, 2, vertices, &numEdges, &edges);CHKERRQ(ierr);
3820         }
3821       }
3822       for (f = 0; f < out->numberoftrifaces; f++) {
3823         if (out->trifacemarkerlist[f]) {
3824           const PetscInt  vertices[3] = {out->trifacelist[f*3+0]+numCells, out->trifacelist[f*3+1]+numCells, out->trifacelist[f*3+2]+numCells};
3825           const PetscInt *faces;
3826           PetscInt        numFaces;
3827 
3828           ierr = DMPlexGetFullJoin(*dmRefined, 3, vertices, &numFaces, &faces);CHKERRQ(ierr);
3829           if (numFaces != 1) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Three vertices must cover only one face, not %D", numFaces);
3830           ierr = DMPlexSetLabelValue(*dmRefined, "marker", faces[0], out->trifacemarkerlist[f]);CHKERRQ(ierr);
3831           ierr = DMPlexRestoreJoin(*dmRefined, 3, vertices, &numFaces, &faces);CHKERRQ(ierr);
3832         }
3833       }
3834     }
3835     ierr = DMPlexSetRefinementUniform(*dmRefined, PETSC_FALSE);CHKERRQ(ierr);
3836   }
3837   ierr = PLCDestroy(&in);CHKERRQ(ierr);
3838   ierr = PLCDestroy(&out);CHKERRQ(ierr);
3839   PetscFunctionReturn(0);
3840 }
3841 #endif
3842 
3843 #undef __FUNCT__
3844 #define __FUNCT__ "DMPlexGenerate"
3845 /*@C
3846   DMPlexGenerate - Generates a mesh.
3847 
3848   Not Collective
3849 
3850   Input Parameters:
3851 + boundary - The DMPlex boundary object
3852 . name - The mesh generation package name
3853 - interpolate - Flag to create intermediate mesh elements
3854 
3855   Output Parameter:
3856 . mesh - The DMPlex object
3857 
3858   Level: intermediate
3859 
3860 .keywords: mesh, elements
3861 .seealso: DMPlexCreate(), DMRefine()
3862 @*/
3863 PetscErrorCode DMPlexGenerate(DM boundary, const char name[], PetscBool interpolate, DM *mesh)
3864 {
3865   PetscInt       dim;
3866   char           genname[1024];
3867   PetscBool      isTriangle = PETSC_FALSE, isTetgen = PETSC_FALSE, isCTetgen = PETSC_FALSE, flg;
3868   PetscErrorCode ierr;
3869 
3870   PetscFunctionBegin;
3871   PetscValidHeaderSpecific(boundary, DM_CLASSID, 1);
3872   PetscValidLogicalCollectiveBool(boundary, interpolate, 2);
3873   ierr = DMPlexGetDimension(boundary, &dim);CHKERRQ(ierr);
3874   ierr = PetscOptionsGetString(((PetscObject) boundary)->prefix, "-dm_plex_generator", genname, 1024, &flg);CHKERRQ(ierr);
3875   if (flg) name = genname;
3876   if (name) {
3877     ierr = PetscStrcmp(name, "triangle", &isTriangle);CHKERRQ(ierr);
3878     ierr = PetscStrcmp(name, "tetgen",   &isTetgen);CHKERRQ(ierr);
3879     ierr = PetscStrcmp(name, "ctetgen",  &isCTetgen);CHKERRQ(ierr);
3880   }
3881   switch (dim) {
3882   case 1:
3883     if (!name || isTriangle) {
3884 #if defined(PETSC_HAVE_TRIANGLE)
3885       ierr = DMPlexGenerate_Triangle(boundary, interpolate, mesh);CHKERRQ(ierr);
3886 #else
3887       SETERRQ(PetscObjectComm((PetscObject)boundary), PETSC_ERR_SUP, "Mesh generation needs external package support.\nPlease reconfigure with --download-triangle.");
3888 #endif
3889     } else SETERRQ1(PetscObjectComm((PetscObject)boundary), PETSC_ERR_SUP, "Unknown 2D mesh generation package %s", name);
3890     break;
3891   case 2:
3892     if (!name || isCTetgen) {
3893 #if defined(PETSC_HAVE_CTETGEN)
3894       ierr = DMPlexGenerate_CTetgen(boundary, interpolate, mesh);CHKERRQ(ierr);
3895 #else
3896       SETERRQ(PetscObjectComm((PetscObject)boundary), PETSC_ERR_SUP, "CTetgen needs external package support.\nPlease reconfigure with --download-ctetgen.");
3897 #endif
3898     } else if (isTetgen) {
3899 #if defined(PETSC_HAVE_TETGEN)
3900       ierr = DMPlexGenerate_Tetgen(boundary, interpolate, mesh);CHKERRQ(ierr);
3901 #else
3902       SETERRQ(PetscObjectComm((PetscObject)boundary), PETSC_ERR_SUP, "Tetgen needs external package support.\nPlease reconfigure with --with-c-language=cxx --download-tetgen.");
3903 #endif
3904     } else SETERRQ1(PetscObjectComm((PetscObject)boundary), PETSC_ERR_SUP, "Unknown 3D mesh generation package %s", name);
3905     break;
3906   default:
3907     SETERRQ1(PetscObjectComm((PetscObject)boundary), PETSC_ERR_SUP, "Mesh generation for a dimension %d boundary is not supported.", dim);
3908   }
3909   PetscFunctionReturn(0);
3910 }
3911 
3912 typedef PetscInt CellRefiner;
3913 
3914 #undef __FUNCT__
3915 #define __FUNCT__ "GetDepthStart_Private"
3916 PETSC_STATIC_INLINE PetscErrorCode GetDepthStart_Private(PetscInt depth, PetscInt depthSize[], PetscInt *cStart, PetscInt *fStart, PetscInt *eStart, PetscInt *vStart)
3917 {
3918   PetscFunctionBegin;
3919   if (cStart) *cStart = 0;
3920   if (vStart) *vStart = depthSize[depth];
3921   if (fStart) *fStart = depthSize[depth] + depthSize[0];
3922   if (eStart) *eStart = depthSize[depth] + depthSize[0] + depthSize[depth-1];
3923   PetscFunctionReturn(0);
3924 }
3925 
3926 #undef __FUNCT__
3927 #define __FUNCT__ "GetDepthEnd_Private"
3928 PETSC_STATIC_INLINE PetscErrorCode GetDepthEnd_Private(PetscInt depth, PetscInt depthSize[], PetscInt *cEnd, PetscInt *fEnd, PetscInt *eEnd, PetscInt *vEnd)
3929 {
3930   PetscFunctionBegin;
3931   if (cEnd) *cEnd = depthSize[depth];
3932   if (vEnd) *vEnd = depthSize[depth] + depthSize[0];
3933   if (fEnd) *fEnd = depthSize[depth] + depthSize[0] + depthSize[depth-1];
3934   if (eEnd) *eEnd = depthSize[depth] + depthSize[0] + depthSize[depth-1] + depthSize[1];
3935   PetscFunctionReturn(0);
3936 }
3937 
3938 #undef __FUNCT__
3939 #define __FUNCT__ "CellRefinerGetSizes"
3940 PetscErrorCode CellRefinerGetSizes(CellRefiner refiner, DM dm, PetscInt depthSize[])
3941 {
3942   PetscInt       cStart, cEnd, cMax, vStart, vEnd, vMax, fStart, fEnd, fMax, eStart, eEnd, eMax;
3943   PetscErrorCode ierr;
3944 
3945   PetscFunctionBegin;
3946   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
3947   ierr = DMPlexGetDepthStratum(dm, 1, &eStart, &eEnd);CHKERRQ(ierr);
3948   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
3949   ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr);
3950   ierr = DMPlexGetHybridBounds(dm, &cMax, &fMax, &eMax, &vMax);CHKERRQ(ierr);
3951   switch (refiner) {
3952   case 1:
3953     /* Simplicial 2D */
3954     depthSize[0] = vEnd - vStart + fEnd - fStart;         /* Add a vertex on every face */
3955     depthSize[1] = 2*(fEnd - fStart) + 3*(cEnd - cStart); /* Every face is split into 2 faces and 3 faces are added for each cell */
3956     depthSize[2] = 4*(cEnd - cStart);                     /* Every cell split into 4 cells */
3957     break;
3958   case 3:
3959     /* Hybrid 2D */
3960     if (cMax < 0) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "No cell maximum specified in hybrid mesh");
3961     cMax = PetscMin(cEnd, cMax);
3962     if (fMax < 0) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "No face maximum specified in hybrid mesh");
3963     fMax         = PetscMin(fEnd, fMax);
3964     depthSize[0] = vEnd - vStart + fMax - fStart;                                         /* Add a vertex on every face, but not hybrid faces */
3965     depthSize[1] = 2*(fMax - fStart) + 3*(cMax - cStart) + (fEnd - fMax) + (cEnd - cMax); /* Every interior face is split into 2 faces, 3 faces are added for each interior cell, and one in each hybrid cell */
3966     depthSize[2] = 4*(cMax - cStart) + 2*(cEnd - cMax);                                   /* Interior cells split into 4 cells, Hybrid cells split into 2 cells */
3967     break;
3968   case 2:
3969     /* Hex 2D */
3970     depthSize[0] = vEnd - vStart + cEnd - cStart + fEnd - fStart; /* Add a vertex on every face and cell */
3971     depthSize[1] = 2*(fEnd - fStart) + 4*(cEnd - cStart);         /* Every face is split into 2 faces and 4 faces are added for each cell */
3972     depthSize[2] = 4*(cEnd - cStart);                             /* Every cell split into 4 cells */
3973     break;
3974   default:
3975     SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unknown cell refiner %d", refiner);
3976   }
3977   PetscFunctionReturn(0);
3978 }
3979 
3980 #undef __FUNCT__
3981 #define __FUNCT__ "CellRefinerSetConeSizes"
3982 PetscErrorCode CellRefinerSetConeSizes(CellRefiner refiner, DM dm, PetscInt depthSize[], DM rdm)
3983 {
3984   PetscInt       depth, cStart, cStartNew, cEnd, cMax, c, vStart, vStartNew, vEnd, vMax, v, fStart, fStartNew, fEnd, fMax, f, eStart, eStartNew, eEnd, eMax, r;
3985   PetscErrorCode ierr;
3986 
3987   PetscFunctionBegin;
3988   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
3989   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
3990   ierr = DMPlexGetDepthStratum(dm, 1, &eStart, &eEnd);CHKERRQ(ierr);
3991   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
3992   ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr);
3993   ierr = DMPlexGetHybridBounds(dm, &cMax, &fMax, &eMax, &vMax);CHKERRQ(ierr);
3994   ierr = GetDepthStart_Private(depth, depthSize, &cStartNew, &fStartNew, &eStartNew, &vStartNew);CHKERRQ(ierr);
3995   switch (refiner) {
3996   case 1:
3997     /* Simplicial 2D */
3998     /* All cells have 3 faces */
3999     for (c = cStart; c < cEnd; ++c) {
4000       for (r = 0; r < 4; ++r) {
4001         const PetscInt newp = (c - cStart)*4 + r;
4002 
4003         ierr = DMPlexSetConeSize(rdm, newp, 3);CHKERRQ(ierr);
4004       }
4005     }
4006     /* Split faces have 2 vertices and the same cells as the parent */
4007     for (f = fStart; f < fEnd; ++f) {
4008       for (r = 0; r < 2; ++r) {
4009         const PetscInt newp = fStartNew + (f - fStart)*2 + r;
4010         PetscInt       size;
4011 
4012         ierr = DMPlexSetConeSize(rdm, newp, 2);CHKERRQ(ierr);
4013         ierr = DMPlexGetSupportSize(dm, f, &size);CHKERRQ(ierr);
4014         ierr = DMPlexSetSupportSize(rdm, newp, size);CHKERRQ(ierr);
4015       }
4016     }
4017     /* Interior faces have 2 vertices and 2 cells */
4018     for (c = cStart; c < cEnd; ++c) {
4019       for (r = 0; r < 3; ++r) {
4020         const PetscInt newp = fStartNew + (fEnd - fStart)*2 + (c - cStart)*3 + r;
4021 
4022         ierr = DMPlexSetConeSize(rdm, newp, 2);CHKERRQ(ierr);
4023         ierr = DMPlexSetSupportSize(rdm, newp, 2);CHKERRQ(ierr);
4024       }
4025     }
4026     /* Old vertices have identical supports */
4027     for (v = vStart; v < vEnd; ++v) {
4028       const PetscInt newp = vStartNew + (v - vStart);
4029       PetscInt       size;
4030 
4031       ierr = DMPlexGetSupportSize(dm, v, &size);CHKERRQ(ierr);
4032       ierr = DMPlexSetSupportSize(rdm, newp, size);CHKERRQ(ierr);
4033     }
4034     /* Face vertices have 2 + cells*2 supports */
4035     for (f = fStart; f < fEnd; ++f) {
4036       const PetscInt newp = vStartNew + (vEnd - vStart) + (f - fStart);
4037       PetscInt       size;
4038 
4039       ierr = DMPlexGetSupportSize(dm, f, &size);CHKERRQ(ierr);
4040       ierr = DMPlexSetSupportSize(rdm, newp, 2 + size*2);CHKERRQ(ierr);
4041     }
4042     break;
4043   case 2:
4044     /* Hex 2D */
4045     /* All cells have 4 faces */
4046     for (c = cStart; c < cEnd; ++c) {
4047       for (r = 0; r < 4; ++r) {
4048         const PetscInt newp = (c - cStart)*4 + r;
4049 
4050         ierr = DMPlexSetConeSize(rdm, newp, 4);CHKERRQ(ierr);
4051       }
4052     }
4053     /* Split faces have 2 vertices and the same cells as the parent */
4054     for (f = fStart; f < fEnd; ++f) {
4055       for (r = 0; r < 2; ++r) {
4056         const PetscInt newp = fStartNew + (f - fStart)*2 + r;
4057         PetscInt       size;
4058 
4059         ierr = DMPlexSetConeSize(rdm, newp, 2);CHKERRQ(ierr);
4060         ierr = DMPlexGetSupportSize(dm, f, &size);CHKERRQ(ierr);
4061         ierr = DMPlexSetSupportSize(rdm, newp, size);CHKERRQ(ierr);
4062       }
4063     }
4064     /* Interior faces have 2 vertices and 2 cells */
4065     for (c = cStart; c < cEnd; ++c) {
4066       for (r = 0; r < 4; ++r) {
4067         const PetscInt newp = fStartNew + (fEnd - fStart)*2 + (c - cStart)*4 + r;
4068 
4069         ierr = DMPlexSetConeSize(rdm, newp, 2);CHKERRQ(ierr);
4070         ierr = DMPlexSetSupportSize(rdm, newp, 2);CHKERRQ(ierr);
4071       }
4072     }
4073     /* Old vertices have identical supports */
4074     for (v = vStart; v < vEnd; ++v) {
4075       const PetscInt newp = vStartNew + (v - vStart);
4076       PetscInt       size;
4077 
4078       ierr = DMPlexGetSupportSize(dm, v, &size);CHKERRQ(ierr);
4079       ierr = DMPlexSetSupportSize(rdm, newp, size);CHKERRQ(ierr);
4080     }
4081     /* Face vertices have 2 + cells supports */
4082     for (f = fStart; f < fEnd; ++f) {
4083       const PetscInt newp = vStartNew + (vEnd - vStart) + (f - fStart);
4084       PetscInt       size;
4085 
4086       ierr = DMPlexGetSupportSize(dm, f, &size);CHKERRQ(ierr);
4087       ierr = DMPlexSetSupportSize(rdm, newp, 2 + size);CHKERRQ(ierr);
4088     }
4089     /* Cell vertices have 4 supports */
4090     for (c = cStart; c < cEnd; ++c) {
4091       const PetscInt newp = vStartNew + (vEnd - vStart) + (fEnd - fStart) + (c - cStart);
4092 
4093       ierr = DMPlexSetSupportSize(rdm, newp, 4);CHKERRQ(ierr);
4094     }
4095     break;
4096   case 3:
4097     /* Hybrid 2D */
4098     if (cMax < 0) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "No cell maximum specified in hybrid mesh");
4099     cMax = PetscMin(cEnd, cMax);
4100     if (fMax < 0) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "No face maximum specified in hybrid mesh");
4101     fMax = PetscMin(fEnd, fMax);
4102     ierr = DMPlexSetHybridBounds(rdm, cStartNew + (cMax - cStart)*4, fStartNew + (fMax - fStart)*2 + (cMax - cStart)*3, PETSC_DETERMINE, PETSC_DETERMINE);CHKERRQ(ierr);
4103     /* Interior cells have 3 faces */
4104     for (c = cStart; c < cMax; ++c) {
4105       for (r = 0; r < 4; ++r) {
4106         const PetscInt newp = cStartNew + (c - cStart)*4 + r;
4107 
4108         ierr = DMPlexSetConeSize(rdm, newp, 3);CHKERRQ(ierr);
4109       }
4110     }
4111     /* Hybrid cells have 4 faces */
4112     for (c = cMax; c < cEnd; ++c) {
4113       for (r = 0; r < 2; ++r) {
4114         const PetscInt newp = cStartNew + (cMax - cStart)*4 + (c - cMax)*2 + r;
4115 
4116         ierr = DMPlexSetConeSize(rdm, newp, 4);CHKERRQ(ierr);
4117       }
4118     }
4119     /* Interior split faces have 2 vertices and the same cells as the parent */
4120     for (f = fStart; f < fMax; ++f) {
4121       for (r = 0; r < 2; ++r) {
4122         const PetscInt newp = fStartNew + (f - fStart)*2 + r;
4123         PetscInt       size;
4124 
4125         ierr = DMPlexSetConeSize(rdm, newp, 2);CHKERRQ(ierr);
4126         ierr = DMPlexGetSupportSize(dm, f, &size);CHKERRQ(ierr);
4127         ierr = DMPlexSetSupportSize(rdm, newp, size);CHKERRQ(ierr);
4128       }
4129     }
4130     /* Interior cell faces have 2 vertices and 2 cells */
4131     for (c = cStart; c < cMax; ++c) {
4132       for (r = 0; r < 3; ++r) {
4133         const PetscInt newp = fStartNew + (fMax - fStart)*2 + (c - cStart)*3 + r;
4134 
4135         ierr = DMPlexSetConeSize(rdm, newp, 2);CHKERRQ(ierr);
4136         ierr = DMPlexSetSupportSize(rdm, newp, 2);CHKERRQ(ierr);
4137       }
4138     }
4139     /* Hybrid faces have 2 vertices and the same cells */
4140     for (f = fMax; f < fEnd; ++f) {
4141       const PetscInt newp = fStartNew + (fMax - fStart)*2 + (cMax - cStart)*3 + (f - fMax);
4142       PetscInt       size;
4143 
4144       ierr = DMPlexSetConeSize(rdm, newp, 2);CHKERRQ(ierr);
4145       ierr = DMPlexGetSupportSize(dm, f, &size);CHKERRQ(ierr);
4146       ierr = DMPlexSetSupportSize(rdm, newp, size);CHKERRQ(ierr);
4147     }
4148     /* Hybrid cell faces have 2 vertices and 2 cells */
4149     for (c = cMax; c < cEnd; ++c) {
4150       const PetscInt newp = fStartNew + (fMax - fStart)*2 + (cMax - cStart)*3 + (fEnd - fMax) + (c - cMax);
4151 
4152       ierr = DMPlexSetConeSize(rdm, newp, 2);CHKERRQ(ierr);
4153       ierr = DMPlexSetSupportSize(rdm, newp, 2);CHKERRQ(ierr);
4154     }
4155     /* Old vertices have identical supports */
4156     for (v = vStart; v < vEnd; ++v) {
4157       const PetscInt newp = vStartNew + (v - vStart);
4158       PetscInt       size;
4159 
4160       ierr = DMPlexGetSupportSize(dm, v, &size);CHKERRQ(ierr);
4161       ierr = DMPlexSetSupportSize(rdm, newp, size);CHKERRQ(ierr);
4162     }
4163     /* Face vertices have 2 + (2 interior, 1 hybrid) supports */
4164     for (f = fStart; f < fMax; ++f) {
4165       const PetscInt newp = vStartNew + (vEnd - vStart) + (f - fStart);
4166       const PetscInt *support;
4167       PetscInt       size, newSize = 2, s;
4168 
4169       ierr = DMPlexGetSupportSize(dm, f, &size);CHKERRQ(ierr);
4170       ierr = DMPlexGetSupport(dm, f, &support);CHKERRQ(ierr);
4171       for (s = 0; s < size; ++s) {
4172         if (support[s] >= cMax) newSize += 1;
4173         else newSize += 2;
4174       }
4175       ierr = DMPlexSetSupportSize(rdm, newp, newSize);CHKERRQ(ierr);
4176     }
4177     break;
4178   default:
4179     SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unknown cell refiner %d", refiner);
4180   }
4181   PetscFunctionReturn(0);
4182 }
4183 
4184 #undef __FUNCT__
4185 #define __FUNCT__ "CellRefinerSetCones"
4186 PetscErrorCode CellRefinerSetCones(CellRefiner refiner, DM dm, PetscInt depthSize[], DM rdm)
4187 {
4188   PetscInt       depth, cStart, cEnd, cMax, cStartNew, cEndNew, c, vStart, vEnd, vMax, vStartNew, vEndNew, v, fStart, fEnd, fMax, fStartNew, fEndNew, f, eStart, eEnd, eMax, eStartNew, eEndNew, r, p;
4189   PetscInt       maxSupportSize, *supportRef;
4190   PetscErrorCode ierr;
4191 
4192   PetscFunctionBegin;
4193   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
4194   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
4195   ierr = DMPlexGetDepthStratum(dm, 1, &eStart, &eEnd);CHKERRQ(ierr);
4196   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
4197   ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr);
4198   ierr = DMPlexGetHybridBounds(dm, &cMax, &fMax, &eMax, &vMax);CHKERRQ(ierr);
4199   ierr = GetDepthStart_Private(depth, depthSize, &cStartNew, &fStartNew, &eStartNew, &vStartNew);CHKERRQ(ierr);
4200   ierr = GetDepthEnd_Private(depth, depthSize, &cEndNew, &fEndNew, &eEndNew, &vEndNew);CHKERRQ(ierr);
4201   switch (refiner) {
4202   case 1:
4203     /* Simplicial 2D */
4204     /*
4205      2
4206      |\
4207      | \
4208      |  \
4209      |   \
4210      | C  \
4211      |     \
4212      |      \
4213      2---1---1
4214      |\  D  / \
4215      | 2   0   \
4216      |A \ /  B  \
4217      0---0-------1
4218      */
4219     /* All cells have 3 faces */
4220     for (c = cStart; c < cEnd; ++c) {
4221       const PetscInt  newp = cStartNew + (c - cStart)*4;
4222       const PetscInt *cone, *ornt;
4223       PetscInt        coneNew[3], orntNew[3];
4224 
4225       ierr = DMPlexGetCone(dm, c, &cone);CHKERRQ(ierr);
4226       ierr = DMPlexGetConeOrientation(dm, c, &ornt);CHKERRQ(ierr);
4227       /* A triangle */
4228       coneNew[0] = fStartNew + (cone[0] - fStart)*2 + (ornt[0] < 0 ? 1 : 0);
4229       orntNew[0] = ornt[0];
4230       coneNew[1] = fStartNew + (fEnd    - fStart)*2 + (c - cStart)*3 + 2;
4231       orntNew[1] = -2;
4232       coneNew[2] = fStartNew + (cone[2] - fStart)*2 + (ornt[2] < 0 ? 0 : 1);
4233       orntNew[2] = ornt[2];
4234       ierr       = DMPlexSetCone(rdm, newp+0, coneNew);CHKERRQ(ierr);
4235       ierr       = DMPlexSetConeOrientation(rdm, newp+0, orntNew);CHKERRQ(ierr);
4236 #if 1
4237       if ((newp+0 < cStartNew) || (newp+0 >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", newp+0, cStartNew, cEndNew);
4238       for (p = 0; p < 3; ++p) {
4239         if ((coneNew[p] < fStartNew) || (coneNew[p] >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", coneNew[p], fStartNew, fEndNew);
4240       }
4241 #endif
4242       /* B triangle */
4243       coneNew[0] = fStartNew + (cone[0] - fStart)*2 + (ornt[0] < 0 ? 0 : 1);
4244       orntNew[0] = ornt[0];
4245       coneNew[1] = fStartNew + (cone[1] - fStart)*2 + (ornt[1] < 0 ? 1 : 0);
4246       orntNew[1] = ornt[1];
4247       coneNew[2] = fStartNew + (fEnd    - fStart)*2 + (c - cStart)*3 + 0;
4248       orntNew[2] = -2;
4249       ierr       = DMPlexSetCone(rdm, newp+1, coneNew);CHKERRQ(ierr);
4250       ierr       = DMPlexSetConeOrientation(rdm, newp+1, orntNew);CHKERRQ(ierr);
4251 #if 1
4252       if ((newp+1 < cStartNew) || (newp+1 >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", newp+1, cStartNew, cEndNew);
4253       for (p = 0; p < 3; ++p) {
4254         if ((coneNew[p] < fStartNew) || (coneNew[p] >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", coneNew[p], fStartNew, fEndNew);
4255       }
4256 #endif
4257       /* C triangle */
4258       coneNew[0] = fStartNew + (fEnd    - fStart)*2 + (c - cStart)*3 + 1;
4259       orntNew[0] = -2;
4260       coneNew[1] = fStartNew + (cone[1] - fStart)*2 + (ornt[1] < 0 ? 0 : 1);
4261       orntNew[1] = ornt[1];
4262       coneNew[2] = fStartNew + (cone[2] - fStart)*2 + (ornt[2] < 0 ? 1 : 0);
4263       orntNew[2] = ornt[2];
4264       ierr       = DMPlexSetCone(rdm, newp+2, coneNew);CHKERRQ(ierr);
4265       ierr       = DMPlexSetConeOrientation(rdm, newp+2, orntNew);CHKERRQ(ierr);
4266 #if 1
4267       if ((newp+2 < cStartNew) || (newp+2 >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", newp+2, cStartNew, cEndNew);
4268       for (p = 0; p < 3; ++p) {
4269         if ((coneNew[p] < fStartNew) || (coneNew[p] >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", coneNew[p], fStartNew, fEndNew);
4270       }
4271 #endif
4272       /* D triangle */
4273       coneNew[0] = fStartNew + (fEnd    - fStart)*2 + (c - cStart)*3 + 0;
4274       orntNew[0] = 0;
4275       coneNew[1] = fStartNew + (fEnd    - fStart)*2 + (c - cStart)*3 + 1;
4276       orntNew[1] = 0;
4277       coneNew[2] = fStartNew + (fEnd    - fStart)*2 + (c - cStart)*3 + 2;
4278       orntNew[2] = 0;
4279       ierr       = DMPlexSetCone(rdm, newp+3, coneNew);CHKERRQ(ierr);
4280       ierr       = DMPlexSetConeOrientation(rdm, newp+3, orntNew);CHKERRQ(ierr);
4281 #if 1
4282       if ((newp+3 < cStartNew) || (newp+3 >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", newp+3, cStartNew, cEndNew);
4283       for (p = 0; p < 3; ++p) {
4284         if ((coneNew[p] < fStartNew) || (coneNew[p] >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", coneNew[p], fStartNew, fEndNew);
4285       }
4286 #endif
4287     }
4288     /* Split faces have 2 vertices and the same cells as the parent */
4289     ierr = DMPlexGetMaxSizes(dm, NULL, &maxSupportSize);CHKERRQ(ierr);
4290     ierr = PetscMalloc((2 + maxSupportSize*2) * sizeof(PetscInt), &supportRef);CHKERRQ(ierr);
4291     for (f = fStart; f < fEnd; ++f) {
4292       const PetscInt newv = vStartNew + (vEnd - vStart) + (f - fStart);
4293 
4294       for (r = 0; r < 2; ++r) {
4295         const PetscInt  newp = fStartNew + (f - fStart)*2 + r;
4296         const PetscInt *cone, *support;
4297         PetscInt        coneNew[2], coneSize, c, supportSize, s;
4298 
4299         ierr             = DMPlexGetCone(dm, f, &cone);CHKERRQ(ierr);
4300         coneNew[0]       = vStartNew + (cone[0] - vStart);
4301         coneNew[1]       = vStartNew + (cone[1] - vStart);
4302         coneNew[(r+1)%2] = newv;
4303         ierr             = DMPlexSetCone(rdm, newp, coneNew);CHKERRQ(ierr);
4304 #if 1
4305         if ((newp < fStartNew) || (newp >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", newp, fStartNew, fEndNew);
4306         for (p = 0; p < 2; ++p) {
4307           if ((coneNew[p] < vStartNew) || (coneNew[p] >= vEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a vertex [%d, %d)", coneNew[p], vStartNew, vEndNew);
4308         }
4309 #endif
4310         ierr = DMPlexGetSupportSize(dm, f, &supportSize);CHKERRQ(ierr);
4311         ierr = DMPlexGetSupport(dm, f, &support);CHKERRQ(ierr);
4312         for (s = 0; s < supportSize; ++s) {
4313           ierr = DMPlexGetConeSize(dm, support[s], &coneSize);CHKERRQ(ierr);
4314           ierr = DMPlexGetCone(dm, support[s], &cone);CHKERRQ(ierr);
4315           for (c = 0; c < coneSize; ++c) {
4316             if (cone[c] == f) break;
4317           }
4318           supportRef[s] = cStartNew + (support[s] - cStart)*4 + (c+r)%3;
4319         }
4320         ierr = DMPlexSetSupport(rdm, newp, supportRef);CHKERRQ(ierr);
4321 #if 1
4322         if ((newp < fStartNew) || (newp >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", newp, fStartNew, fEndNew);
4323         for (p = 0; p < supportSize; ++p) {
4324           if ((supportRef[p] < cStartNew) || (supportRef[p] >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", supportRef[p], cStartNew, cEndNew);
4325         }
4326 #endif
4327       }
4328     }
4329     /* Interior faces have 2 vertices and 2 cells */
4330     for (c = cStart; c < cEnd; ++c) {
4331       const PetscInt *cone;
4332 
4333       ierr = DMPlexGetCone(dm, c, &cone);CHKERRQ(ierr);
4334       for (r = 0; r < 3; ++r) {
4335         const PetscInt newp = fStartNew + (fEnd - fStart)*2 + (c - cStart)*3 + r;
4336         PetscInt       coneNew[2];
4337         PetscInt       supportNew[2];
4338 
4339         coneNew[0] = vStartNew + (vEnd - vStart) + (cone[r]       - fStart);
4340         coneNew[1] = vStartNew + (vEnd - vStart) + (cone[(r+1)%3] - fStart);
4341         ierr       = DMPlexSetCone(rdm, newp, coneNew);CHKERRQ(ierr);
4342 #if 1
4343         if ((newp < fStartNew) || (newp >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", newp, fStartNew, fEndNew);
4344         for (p = 0; p < 2; ++p) {
4345           if ((coneNew[p] < vStartNew) || (coneNew[p] >= vEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a vertex [%d, %d)", coneNew[p], vStartNew, vEndNew);
4346         }
4347 #endif
4348         supportNew[0] = (c - cStart)*4 + (r+1)%3;
4349         supportNew[1] = (c - cStart)*4 + 3;
4350         ierr          = DMPlexSetSupport(rdm, newp, supportNew);CHKERRQ(ierr);
4351 #if 1
4352         if ((newp < fStartNew) || (newp >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", newp, fStartNew, fEndNew);
4353         for (p = 0; p < 2; ++p) {
4354           if ((supportNew[p] < cStartNew) || (supportNew[p] >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", supportNew[p], cStartNew, cEndNew);
4355         }
4356 #endif
4357       }
4358     }
4359     /* Old vertices have identical supports */
4360     for (v = vStart; v < vEnd; ++v) {
4361       const PetscInt  newp = vStartNew + (v - vStart);
4362       const PetscInt *support, *cone;
4363       PetscInt        size, s;
4364 
4365       ierr = DMPlexGetSupportSize(dm, v, &size);CHKERRQ(ierr);
4366       ierr = DMPlexGetSupport(dm, v, &support);CHKERRQ(ierr);
4367       for (s = 0; s < size; ++s) {
4368         PetscInt r = 0;
4369 
4370         ierr = DMPlexGetCone(dm, support[s], &cone);CHKERRQ(ierr);
4371         if (cone[1] == v) r = 1;
4372         supportRef[s] = fStartNew + (support[s] - fStart)*2 + r;
4373       }
4374       ierr = DMPlexSetSupport(rdm, newp, supportRef);CHKERRQ(ierr);
4375 #if 1
4376       if ((newp < vStartNew) || (newp >= vEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a vertex [%d, %d)", newp, vStartNew, vEndNew);
4377       for (p = 0; p < size; ++p) {
4378         if ((supportRef[p] < fStartNew) || (supportRef[p] >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", supportRef[p], fStartNew, fEndNew);
4379       }
4380 #endif
4381     }
4382     /* Face vertices have 2 + cells*2 supports */
4383     for (f = fStart; f < fEnd; ++f) {
4384       const PetscInt  newp = vStartNew + (vEnd - vStart) + (f - fStart);
4385       const PetscInt *cone, *support;
4386       PetscInt        size, s;
4387 
4388       ierr          = DMPlexGetSupportSize(dm, f, &size);CHKERRQ(ierr);
4389       ierr          = DMPlexGetSupport(dm, f, &support);CHKERRQ(ierr);
4390       supportRef[0] = fStartNew + (f - fStart)*2 + 0;
4391       supportRef[1] = fStartNew + (f - fStart)*2 + 1;
4392       for (s = 0; s < size; ++s) {
4393         PetscInt r = 0;
4394 
4395         ierr = DMPlexGetCone(dm, support[s], &cone);CHKERRQ(ierr);
4396         if      (cone[1] == f) r = 1;
4397         else if (cone[2] == f) r = 2;
4398         supportRef[2+s*2+0] = fStartNew + (fEnd - fStart)*2 + (support[s] - cStart)*3 + (r+2)%3;
4399         supportRef[2+s*2+1] = fStartNew + (fEnd - fStart)*2 + (support[s] - cStart)*3 + r;
4400       }
4401       ierr = DMPlexSetSupport(rdm, newp, supportRef);CHKERRQ(ierr);
4402 #if 1
4403       if ((newp < vStartNew) || (newp >= vEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a vertex [%d, %d)", newp, vStartNew, vEndNew);
4404       for (p = 0; p < 2+size*2; ++p) {
4405         if ((supportRef[p] < fStartNew) || (supportRef[p] >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", supportRef[p], fStartNew, fEndNew);
4406       }
4407 #endif
4408     }
4409     ierr = PetscFree(supportRef);CHKERRQ(ierr);
4410     break;
4411   case 2:
4412     /* Hex 2D */
4413     /*
4414      3---------2---------2
4415      |         |         |
4416      |    D    2    C    |
4417      |         |         |
4418      3----3----0----1----1
4419      |         |         |
4420      |    A    0    B    |
4421      |         |         |
4422      0---------0---------1
4423      */
4424     /* All cells have 4 faces */
4425     for (c = cStart; c < cEnd; ++c) {
4426       const PetscInt  newp = (c - cStart)*4;
4427       const PetscInt *cone, *ornt;
4428       PetscInt        coneNew[4], orntNew[4];
4429 
4430       ierr = DMPlexGetCone(dm, c, &cone);CHKERRQ(ierr);
4431       ierr = DMPlexGetConeOrientation(dm, c, &ornt);CHKERRQ(ierr);
4432       /* A quad */
4433       coneNew[0] = fStartNew + (cone[0] - fStart)*2 + (ornt[0] < 0 ? 1 : 0);
4434       orntNew[0] = ornt[0];
4435       coneNew[1] = fStartNew + (fEnd    - fStart)*2 + (c - cStart)*4 + 0;
4436       orntNew[1] = 0;
4437       coneNew[2] = fStartNew + (fEnd    - fStart)*2 + (c - cStart)*4 + 3;
4438       orntNew[2] = -2;
4439       coneNew[3] = fStartNew + (cone[3] - fStart)*2 + (ornt[3] < 0 ? 0 : 1);
4440       orntNew[3] = ornt[3];
4441       ierr       = DMPlexSetCone(rdm, newp+0, coneNew);CHKERRQ(ierr);
4442       ierr       = DMPlexSetConeOrientation(rdm, newp+0, orntNew);CHKERRQ(ierr);
4443 #if 1
4444       if ((newp+0 < cStartNew) || (newp+0 >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", newp+0, cStartNew, cEndNew);
4445       for (p = 0; p < 4; ++p) {
4446         if ((coneNew[p] < fStartNew) || (coneNew[p] >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", coneNew[p], fStartNew, fEndNew);
4447       }
4448 #endif
4449       /* B quad */
4450       coneNew[0] = fStartNew + (cone[0] - fStart)*2 + (ornt[0] < 0 ? 0 : 1);
4451       orntNew[0] = ornt[0];
4452       coneNew[1] = fStartNew + (cone[1] - fStart)*2 + (ornt[1] < 0 ? 1 : 0);
4453       orntNew[1] = ornt[1];
4454       coneNew[2] = fStartNew + (fEnd    - fStart)*2 + (c - cStart)*4 + 1;
4455       orntNew[2] = 0;
4456       coneNew[3] = fStartNew + (fEnd    - fStart)*2 + (c - cStart)*4 + 0;
4457       orntNew[3] = -2;
4458       ierr       = DMPlexSetCone(rdm, newp+1, coneNew);CHKERRQ(ierr);
4459       ierr       = DMPlexSetConeOrientation(rdm, newp+1, orntNew);CHKERRQ(ierr);
4460 #if 1
4461       if ((newp+1 < cStartNew) || (newp+1 >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", newp+1, cStartNew, cEndNew);
4462       for (p = 0; p < 4; ++p) {
4463         if ((coneNew[p] < fStartNew) || (coneNew[p] >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", coneNew[p], fStartNew, fEndNew);
4464       }
4465 #endif
4466       /* C quad */
4467       coneNew[0] = fStartNew + (fEnd    - fStart)*2 + (c - cStart)*4 + 1;
4468       orntNew[0] = -2;
4469       coneNew[1] = fStartNew + (cone[1] - fStart)*2 + (ornt[1] < 0 ? 0 : 1);
4470       orntNew[1] = ornt[1];
4471       coneNew[2] = fStartNew + (cone[2] - fStart)*2 + (ornt[2] < 0 ? 1 : 0);
4472       orntNew[2] = ornt[2];
4473       coneNew[3] = fStartNew + (fEnd    - fStart)*2 + (c - cStart)*4 + 2;
4474       orntNew[3] = 0;
4475       ierr       = DMPlexSetCone(rdm, newp+2, coneNew);CHKERRQ(ierr);
4476       ierr       = DMPlexSetConeOrientation(rdm, newp+2, orntNew);CHKERRQ(ierr);
4477 #if 1
4478       if ((newp+2 < cStartNew) || (newp+2 >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", newp+2, cStartNew, cEndNew);
4479       for (p = 0; p < 4; ++p) {
4480         if ((coneNew[p] < fStartNew) || (coneNew[p] >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", coneNew[p], fStartNew, fEndNew);
4481       }
4482 #endif
4483       /* D quad */
4484       coneNew[0] = fStartNew + (fEnd    - fStart)*2 + (c - cStart)*4 + 3;
4485       orntNew[0] = 0;
4486       coneNew[1] = fStartNew + (fEnd    - fStart)*2 + (c - cStart)*4 + 2;
4487       orntNew[1] = -2;
4488       coneNew[2] = fStartNew + (cone[2] - fStart)*2 + (ornt[2] < 0 ? 0 : 1);
4489       orntNew[2] = ornt[2];
4490       coneNew[3] = fStartNew + (cone[3] - fStart)*2 + (ornt[3] < 0 ? 1 : 0);
4491       orntNew[3] = ornt[3];
4492       ierr       = DMPlexSetCone(rdm, newp+3, coneNew);CHKERRQ(ierr);
4493       ierr       = DMPlexSetConeOrientation(rdm, newp+3, orntNew);CHKERRQ(ierr);
4494 #if 1
4495       if ((newp+3 < cStartNew) || (newp+3 >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", newp+3, cStartNew, cEndNew);
4496       for (p = 0; p < 4; ++p) {
4497         if ((coneNew[p] < fStartNew) || (coneNew[p] >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", coneNew[p], fStartNew, fEndNew);
4498       }
4499 #endif
4500     }
4501     /* Split faces have 2 vertices and the same cells as the parent */
4502     ierr = DMPlexGetMaxSizes(dm, NULL, &maxSupportSize);CHKERRQ(ierr);
4503     ierr = PetscMalloc((2 + maxSupportSize*2) * sizeof(PetscInt), &supportRef);CHKERRQ(ierr);
4504     for (f = fStart; f < fEnd; ++f) {
4505       const PetscInt newv = vStartNew + (vEnd - vStart) + (f - fStart);
4506 
4507       for (r = 0; r < 2; ++r) {
4508         const PetscInt  newp = fStartNew + (f - fStart)*2 + r;
4509         const PetscInt *cone, *support;
4510         PetscInt        coneNew[2], coneSize, c, supportSize, s;
4511 
4512         ierr             = DMPlexGetCone(dm, f, &cone);CHKERRQ(ierr);
4513         coneNew[0]       = vStartNew + (cone[0] - vStart);
4514         coneNew[1]       = vStartNew + (cone[1] - vStart);
4515         coneNew[(r+1)%2] = newv;
4516         ierr             = DMPlexSetCone(rdm, newp, coneNew);CHKERRQ(ierr);
4517 #if 1
4518         if ((newp < fStartNew) || (newp >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", newp, fStartNew, fEndNew);
4519         for (p = 0; p < 2; ++p) {
4520           if ((coneNew[p] < vStartNew) || (coneNew[p] >= vEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a vertex [%d, %d)", coneNew[p], vStartNew, vEndNew);
4521         }
4522 #endif
4523         ierr = DMPlexGetSupportSize(dm, f, &supportSize);CHKERRQ(ierr);
4524         ierr = DMPlexGetSupport(dm, f, &support);CHKERRQ(ierr);
4525         for (s = 0; s < supportSize; ++s) {
4526           ierr = DMPlexGetConeSize(dm, support[s], &coneSize);CHKERRQ(ierr);
4527           ierr = DMPlexGetCone(dm, support[s], &cone);CHKERRQ(ierr);
4528           for (c = 0; c < coneSize; ++c) {
4529             if (cone[c] == f) break;
4530           }
4531           supportRef[s] = cStartNew + (support[s] - cStart)*4 + (c+r)%4;
4532         }
4533         ierr = DMPlexSetSupport(rdm, newp, supportRef);CHKERRQ(ierr);
4534 #if 1
4535         if ((newp < fStartNew) || (newp >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", newp, fStartNew, fEndNew);
4536         for (p = 0; p < supportSize; ++p) {
4537           if ((supportRef[p] < cStartNew) || (supportRef[p] >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", supportRef[p], cStartNew, cEndNew);
4538         }
4539 #endif
4540       }
4541     }
4542     /* Interior faces have 2 vertices and 2 cells */
4543     for (c = cStart; c < cEnd; ++c) {
4544       const PetscInt *cone;
4545       PetscInt        coneNew[2], supportNew[2];
4546 
4547       ierr = DMPlexGetCone(dm, c, &cone);CHKERRQ(ierr);
4548       for (r = 0; r < 4; ++r) {
4549         const PetscInt newp = fStartNew + (fEnd - fStart)*2 + (c - cStart)*4 + r;
4550 
4551         coneNew[0] = vStartNew + (vEnd - vStart) + (cone[r] - fStart);
4552         coneNew[1] = vStartNew + (vEnd - vStart) + (fEnd    - fStart) + (c - cStart);
4553         ierr       = DMPlexSetCone(rdm, newp, coneNew);CHKERRQ(ierr);
4554 #if 1
4555         if ((newp < fStartNew) || (newp >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", newp, fStartNew, fEndNew);
4556         for (p = 0; p < 2; ++p) {
4557           if ((coneNew[p] < vStartNew) || (coneNew[p] >= vEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a vertex [%d, %d)", coneNew[p], vStartNew, vEndNew);
4558         }
4559 #endif
4560         supportNew[0] = (c - cStart)*4 + r;
4561         supportNew[1] = (c - cStart)*4 + (r+1)%4;
4562         ierr          = DMPlexSetSupport(rdm, newp, supportNew);CHKERRQ(ierr);
4563 #if 1
4564         if ((newp < fStartNew) || (newp >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", newp, fStartNew, fEndNew);
4565         for (p = 0; p < 2; ++p) {
4566           if ((supportNew[p] < cStartNew) || (supportNew[p] >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", supportNew[p], cStartNew, cEndNew);
4567         }
4568 #endif
4569       }
4570     }
4571     /* Old vertices have identical supports */
4572     for (v = vStart; v < vEnd; ++v) {
4573       const PetscInt  newp = vStartNew + (v - vStart);
4574       const PetscInt *support, *cone;
4575       PetscInt        size, s;
4576 
4577       ierr = DMPlexGetSupportSize(dm, v, &size);CHKERRQ(ierr);
4578       ierr = DMPlexGetSupport(dm, v, &support);CHKERRQ(ierr);
4579       for (s = 0; s < size; ++s) {
4580         PetscInt r = 0;
4581 
4582         ierr = DMPlexGetCone(dm, support[s], &cone);CHKERRQ(ierr);
4583         if (cone[1] == v) r = 1;
4584         supportRef[s] = fStartNew + (support[s] - fStart)*2 + r;
4585       }
4586       ierr = DMPlexSetSupport(rdm, newp, supportRef);CHKERRQ(ierr);
4587 #if 1
4588       if ((newp < vStartNew) || (newp >= vEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a vertex [%d, %d)", newp, vStartNew, vEndNew);
4589       for (p = 0; p < size; ++p) {
4590         if ((supportRef[p] < fStartNew) || (supportRef[p] >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", supportRef[p], fStartNew, fEndNew);
4591       }
4592 #endif
4593     }
4594     /* Face vertices have 2 + cells supports */
4595     for (f = fStart; f < fEnd; ++f) {
4596       const PetscInt  newp = vStartNew + (vEnd - vStart) + (f - fStart);
4597       const PetscInt *cone, *support;
4598       PetscInt        size, s;
4599 
4600       ierr          = DMPlexGetSupportSize(dm, f, &size);CHKERRQ(ierr);
4601       ierr          = DMPlexGetSupport(dm, f, &support);CHKERRQ(ierr);
4602       supportRef[0] = fStartNew + (f - fStart)*2 + 0;
4603       supportRef[1] = fStartNew + (f - fStart)*2 + 1;
4604       for (s = 0; s < size; ++s) {
4605         PetscInt r = 0;
4606 
4607         ierr = DMPlexGetCone(dm, support[s], &cone);CHKERRQ(ierr);
4608         if      (cone[1] == f) r = 1;
4609         else if (cone[2] == f) r = 2;
4610         else if (cone[3] == f) r = 3;
4611         supportRef[2+s] = fStartNew + (fEnd - fStart)*2 + (support[s] - cStart)*4 + r;
4612       }
4613       ierr = DMPlexSetSupport(rdm, newp, supportRef);CHKERRQ(ierr);
4614 #if 1
4615       if ((newp < vStartNew) || (newp >= vEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a vertex [%d, %d)", newp, vStartNew, vEndNew);
4616       for (p = 0; p < 2+size; ++p) {
4617         if ((supportRef[p] < fStartNew) || (supportRef[p] >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", supportRef[p], fStartNew, fEndNew);
4618       }
4619 #endif
4620     }
4621     /* Cell vertices have 4 supports */
4622     for (c = cStart; c < cEnd; ++c) {
4623       const PetscInt newp = vStartNew + (vEnd - vStart) + (fEnd - fStart) + (c - cStart);
4624       PetscInt       supportNew[4];
4625 
4626       for (r = 0; r < 4; ++r) {
4627         supportNew[r] = fStartNew + (fEnd - fStart)*2 + (c - cStart)*4 + r;
4628       }
4629       ierr = DMPlexSetSupport(rdm, newp, supportNew);CHKERRQ(ierr);
4630     }
4631     break;
4632   case 3:
4633     if (cMax < 0) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "No cell maximum specified in hybrid mesh");
4634     cMax = PetscMin(cEnd, cMax);
4635     if (fMax < 0) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "No face maximum specified in hybrid mesh");
4636     fMax = PetscMin(fEnd, fMax);
4637     /* Interior cells have 3 faces */
4638     for (c = cStart; c < cMax; ++c) {
4639       const PetscInt  newp = cStartNew + (c - cStart)*4;
4640       const PetscInt *cone, *ornt;
4641       PetscInt        coneNew[3], orntNew[3];
4642 
4643       ierr = DMPlexGetCone(dm, c, &cone);CHKERRQ(ierr);
4644       ierr = DMPlexGetConeOrientation(dm, c, &ornt);CHKERRQ(ierr);
4645       /* A triangle */
4646       coneNew[0] = fStartNew + (cone[0] - fStart)*2 + (ornt[0] < 0 ? 1 : 0);
4647       orntNew[0] = ornt[0];
4648       coneNew[1] = fStartNew + (fMax    - fStart)*2 + (c - cStart)*3 + 2;
4649       orntNew[1] = -2;
4650       coneNew[2] = fStartNew + (cone[2] - fStart)*2 + (ornt[2] < 0 ? 0 : 1);
4651       orntNew[2] = ornt[2];
4652       ierr       = DMPlexSetCone(rdm, newp+0, coneNew);CHKERRQ(ierr);
4653       ierr       = DMPlexSetConeOrientation(rdm, newp+0, orntNew);CHKERRQ(ierr);
4654 #if 1
4655       if ((newp+0 < cStartNew) || (newp+0 >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", newp+0, cStartNew, cEndNew);
4656       for (p = 0; p < 3; ++p) {
4657         if ((coneNew[p] < fStartNew) || (coneNew[p] >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", coneNew[p], fStartNew, fEndNew);
4658       }
4659 #endif
4660       /* B triangle */
4661       coneNew[0] = fStartNew + (cone[0] - fStart)*2 + (ornt[0] < 0 ? 0 : 1);
4662       orntNew[0] = ornt[0];
4663       coneNew[1] = fStartNew + (cone[1] - fStart)*2 + (ornt[1] < 0 ? 1 : 0);
4664       orntNew[1] = ornt[1];
4665       coneNew[2] = fStartNew + (fMax    - fStart)*2 + (c - cStart)*3 + 0;
4666       orntNew[2] = -2;
4667       ierr       = DMPlexSetCone(rdm, newp+1, coneNew);CHKERRQ(ierr);
4668       ierr       = DMPlexSetConeOrientation(rdm, newp+1, orntNew);CHKERRQ(ierr);
4669 #if 1
4670       if ((newp+1 < cStartNew) || (newp+1 >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", newp+1, cStartNew, cEndNew);
4671       for (p = 0; p < 3; ++p) {
4672         if ((coneNew[p] < fStartNew) || (coneNew[p] >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", coneNew[p], fStartNew, fEndNew);
4673       }
4674 #endif
4675       /* C triangle */
4676       coneNew[0] = fStartNew + (fMax    - fStart)*2 + (c - cStart)*3 + 1;
4677       orntNew[0] = -2;
4678       coneNew[1] = fStartNew + (cone[1] - fStart)*2 + (ornt[1] < 0 ? 0 : 1);
4679       orntNew[1] = ornt[1];
4680       coneNew[2] = fStartNew + (cone[2] - fStart)*2 + (ornt[2] < 0 ? 1 : 0);
4681       orntNew[2] = ornt[2];
4682       ierr       = DMPlexSetCone(rdm, newp+2, coneNew);CHKERRQ(ierr);
4683       ierr       = DMPlexSetConeOrientation(rdm, newp+2, orntNew);CHKERRQ(ierr);
4684 #if 1
4685       if ((newp+2 < cStartNew) || (newp+2 >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", newp+2, cStartNew, cEndNew);
4686       for (p = 0; p < 3; ++p) {
4687         if ((coneNew[p] < fStartNew) || (coneNew[p] >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", coneNew[p], fStartNew, fEndNew);
4688       }
4689 #endif
4690       /* D triangle */
4691       coneNew[0] = fStartNew + (fMax    - fStart)*2 + (c - cStart)*3 + 0;
4692       orntNew[0] = 0;
4693       coneNew[1] = fStartNew + (fMax    - fStart)*2 + (c - cStart)*3 + 1;
4694       orntNew[1] = 0;
4695       coneNew[2] = fStartNew + (fMax    - fStart)*2 + (c - cStart)*3 + 2;
4696       orntNew[2] = 0;
4697       ierr       = DMPlexSetCone(rdm, newp+3, coneNew);CHKERRQ(ierr);
4698       ierr       = DMPlexSetConeOrientation(rdm, newp+3, orntNew);CHKERRQ(ierr);
4699 #if 1
4700       if ((newp+3 < cStartNew) || (newp+3 >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", newp+3, cStartNew, cEndNew);
4701       for (p = 0; p < 3; ++p) {
4702         if ((coneNew[p] < fStartNew) || (coneNew[p] >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", coneNew[p], fStartNew, fEndNew);
4703       }
4704 #endif
4705     }
4706     /*
4707      2----3----3
4708      |         |
4709      |    B    |
4710      |         |
4711      0----4--- 1
4712      |         |
4713      |    A    |
4714      |         |
4715      0----2----1
4716      */
4717     /* Hybrid cells have 4 faces */
4718     for (c = cMax; c < cEnd; ++c) {
4719       const PetscInt  newp = cStartNew + (cMax - cStart)*4 + (c - cMax)*2;
4720       const PetscInt *cone, *ornt;
4721       PetscInt        coneNew[4], orntNew[4];
4722 
4723       ierr = DMPlexGetCone(dm, c, &cone);CHKERRQ(ierr);
4724       ierr = DMPlexGetConeOrientation(dm, c, &ornt);CHKERRQ(ierr);
4725       /* A quad */
4726       coneNew[0] = fStartNew + (cone[0] - fStart)*2 + (ornt[0] < 0 ? 1 : 0);
4727       orntNew[0] = ornt[0];
4728       coneNew[1] = fStartNew + (cone[1] - fStart)*2 + (ornt[1] < 0 ? 1 : 0);
4729       orntNew[1] = ornt[1];
4730       coneNew[2] = fStartNew + (fMax    - fStart)*2 + (cMax - cStart)*3 + (cone[2] - fMax);
4731       orntNew[2] = 0;
4732       coneNew[3] = fStartNew + (fMax    - fStart)*2 + (cMax - cStart)*3 + (fEnd    - fMax) + (c - cMax);
4733       orntNew[3] = 0;
4734       ierr       = DMPlexSetCone(rdm, newp+0, coneNew);CHKERRQ(ierr);
4735       ierr       = DMPlexSetConeOrientation(rdm, newp+0, orntNew);CHKERRQ(ierr);
4736 #if 1
4737       if ((newp+0 < cStartNew) || (newp+0 >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", newp+0, cStartNew, cEndNew);
4738       for (p = 0; p < 4; ++p) {
4739         if ((coneNew[p] < fStartNew) || (coneNew[p] >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", coneNew[p], fStartNew, fEndNew);
4740       }
4741 #endif
4742       /* B quad */
4743       coneNew[0] = fStartNew + (cone[0] - fStart)*2 + (ornt[0] < 0 ? 0 : 1);
4744       orntNew[0] = ornt[0];
4745       coneNew[1] = fStartNew + (cone[1] - fStart)*2 + (ornt[1] < 0 ? 0 : 1);
4746       orntNew[1] = ornt[1];
4747       coneNew[2] = fStartNew + (fMax    - fStart)*2 + (cMax - cStart)*3 + (fEnd    - fMax) + (c - cMax);
4748       orntNew[2] = 0;
4749       coneNew[3] = fStartNew + (fMax    - fStart)*2 + (cMax - cStart)*3 + (cone[3] - fMax);
4750       orntNew[3] = 0;
4751       ierr       = DMPlexSetCone(rdm, newp+1, coneNew);CHKERRQ(ierr);
4752       ierr       = DMPlexSetConeOrientation(rdm, newp+1, orntNew);CHKERRQ(ierr);
4753 #if 1
4754       if ((newp+1 < cStartNew) || (newp+1 >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", newp+1, cStartNew, cEndNew);
4755       for (p = 0; p < 4; ++p) {
4756         if ((coneNew[p] < fStartNew) || (coneNew[p] >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", coneNew[p], fStartNew, fEndNew);
4757       }
4758 #endif
4759     }
4760     /* Interior split faces have 2 vertices and the same cells as the parent */
4761     ierr = DMPlexGetMaxSizes(dm, NULL, &maxSupportSize);CHKERRQ(ierr);
4762     ierr = PetscMalloc((2 + maxSupportSize*2) * sizeof(PetscInt), &supportRef);CHKERRQ(ierr);
4763     for (f = fStart; f < fMax; ++f) {
4764       const PetscInt newv = vStartNew + (vEnd - vStart) + (f - fStart);
4765 
4766       for (r = 0; r < 2; ++r) {
4767         const PetscInt  newp = fStartNew + (f - fStart)*2 + r;
4768         const PetscInt *cone, *support;
4769         PetscInt        coneNew[2], coneSize, c, supportSize, s;
4770 
4771         ierr             = DMPlexGetCone(dm, f, &cone);CHKERRQ(ierr);
4772         coneNew[0]       = vStartNew + (cone[0] - vStart);
4773         coneNew[1]       = vStartNew + (cone[1] - vStart);
4774         coneNew[(r+1)%2] = newv;
4775         ierr             = DMPlexSetCone(rdm, newp, coneNew);CHKERRQ(ierr);
4776 #if 1
4777         if ((newp < fStartNew) || (newp >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", newp, fStartNew, fEndNew);
4778         for (p = 0; p < 2; ++p) {
4779           if ((coneNew[p] < vStartNew) || (coneNew[p] >= vEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a vertex [%d, %d)", coneNew[p], vStartNew, vEndNew);
4780         }
4781 #endif
4782         ierr = DMPlexGetSupportSize(dm, f, &supportSize);CHKERRQ(ierr);
4783         ierr = DMPlexGetSupport(dm, f, &support);CHKERRQ(ierr);
4784         for (s = 0; s < supportSize; ++s) {
4785           if (support[s] >= cMax) {
4786             supportRef[s] = cStartNew + (cMax - cStart)*4 + (support[s] - cMax)*2 + r;
4787           } else {
4788             ierr = DMPlexGetConeSize(dm, support[s], &coneSize);CHKERRQ(ierr);
4789             ierr = DMPlexGetCone(dm, support[s], &cone);CHKERRQ(ierr);
4790             for (c = 0; c < coneSize; ++c) {
4791               if (cone[c] == f) break;
4792             }
4793             supportRef[s] = cStartNew + (support[s] - cStart)*4 + (c+r)%3;
4794           }
4795         }
4796         ierr = DMPlexSetSupport(rdm, newp, supportRef);CHKERRQ(ierr);
4797 #if 1
4798         if ((newp < fStartNew) || (newp >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", newp, fStartNew, fEndNew);
4799         for (p = 0; p < supportSize; ++p) {
4800           if ((supportRef[p] < cStartNew) || (supportRef[p] >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", supportRef[p], cStartNew, cEndNew);
4801         }
4802 #endif
4803       }
4804     }
4805     /* Interior cell faces have 2 vertices and 2 cells */
4806     for (c = cStart; c < cMax; ++c) {
4807       const PetscInt *cone;
4808 
4809       ierr = DMPlexGetCone(dm, c, &cone);CHKERRQ(ierr);
4810       for (r = 0; r < 3; ++r) {
4811         const PetscInt newp = fStartNew + (fMax - fStart)*2 + (c - cStart)*3 + r;
4812         PetscInt       coneNew[2];
4813         PetscInt       supportNew[2];
4814 
4815         coneNew[0] = vStartNew + (vEnd - vStart) + (cone[r]       - fStart);
4816         coneNew[1] = vStartNew + (vEnd - vStart) + (cone[(r+1)%3] - fStart);
4817         ierr       = DMPlexSetCone(rdm, newp, coneNew);CHKERRQ(ierr);
4818 #if 1
4819         if ((newp < fStartNew) || (newp >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", newp, fStartNew, fEndNew);
4820         for (p = 0; p < 2; ++p) {
4821           if ((coneNew[p] < vStartNew) || (coneNew[p] >= vEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a vertex [%d, %d)", coneNew[p], vStartNew, vEndNew);
4822         }
4823 #endif
4824         supportNew[0] = (c - cStart)*4 + (r+1)%3;
4825         supportNew[1] = (c - cStart)*4 + 3;
4826         ierr          = DMPlexSetSupport(rdm, newp, supportNew);CHKERRQ(ierr);
4827 #if 1
4828         if ((newp < fStartNew) || (newp >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", newp, fStartNew, fEndNew);
4829         for (p = 0; p < 2; ++p) {
4830           if ((supportNew[p] < cStartNew) || (supportNew[p] >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", supportNew[p], cStartNew, cEndNew);
4831         }
4832 #endif
4833       }
4834     }
4835     /* Interior hybrid faces have 2 vertices and the same cells */
4836     for (f = fMax; f < fEnd; ++f) {
4837       const PetscInt  newp = fStartNew + (fMax - fStart)*2 + (cMax - cStart)*3 + (f - fMax);
4838       const PetscInt *cone;
4839       const PetscInt *support;
4840       PetscInt        coneNew[2];
4841       PetscInt        supportNew[2];
4842       PetscInt        size, s, r;
4843 
4844       ierr       = DMPlexGetCone(dm, f, &cone);CHKERRQ(ierr);
4845       coneNew[0] = vStartNew + (cone[0] - vStart);
4846       coneNew[1] = vStartNew + (cone[1] - vStart);
4847       ierr       = DMPlexSetCone(rdm, newp, coneNew);CHKERRQ(ierr);
4848 #if 1
4849       if ((newp < fStartNew) || (newp >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", newp, fStartNew, fEndNew);
4850       for (p = 0; p < 2; ++p) {
4851         if ((coneNew[p] < vStartNew) || (coneNew[p] >= vEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a vertex [%d, %d)", coneNew[p], vStartNew, vEndNew);
4852       }
4853 #endif
4854       ierr = DMPlexGetSupportSize(dm, f, &size);CHKERRQ(ierr);
4855       ierr = DMPlexGetSupport(dm, f, &support);CHKERRQ(ierr);
4856       for (s = 0; s < size; ++s) {
4857         ierr = DMPlexGetCone(dm, support[s], &cone);CHKERRQ(ierr);
4858         for (r = 0; r < 2; ++r) {
4859           if (cone[r+2] == f) break;
4860         }
4861         supportNew[s] = (cMax - cStart)*4 + (support[s] - cMax)*2 + r;
4862       }
4863       ierr = DMPlexSetSupport(rdm, newp, supportNew);CHKERRQ(ierr);
4864 #if 1
4865       if ((newp < fStartNew) || (newp >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", newp, fStartNew, fEndNew);
4866       for (p = 0; p < size; ++p) {
4867         if ((supportNew[p] < cStartNew) || (supportNew[p] >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", supportNew[p], cStartNew, cEndNew);
4868       }
4869 #endif
4870     }
4871     /* Cell hybrid faces have 2 vertices and 2 cells */
4872     for (c = cMax; c < cEnd; ++c) {
4873       const PetscInt  newp = fStartNew + (fMax - fStart)*2 + (cMax - cStart)*3 + (fEnd - fMax) + (c - cMax);
4874       const PetscInt *cone;
4875       PetscInt        coneNew[2];
4876       PetscInt        supportNew[2];
4877 
4878       ierr       = DMPlexGetCone(dm, c, &cone);CHKERRQ(ierr);
4879       coneNew[0] = vStartNew + (vEnd - vStart) + (cone[0] - fStart);
4880       coneNew[1] = vStartNew + (vEnd - vStart) + (cone[1] - fStart);
4881       ierr       = DMPlexSetCone(rdm, newp, coneNew);CHKERRQ(ierr);
4882 #if 1
4883       if ((newp < fStartNew) || (newp >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", newp, fStartNew, fEndNew);
4884       for (p = 0; p < 2; ++p) {
4885         if ((coneNew[p] < vStartNew) || (coneNew[p] >= vEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a vertex [%d, %d)", coneNew[p], vStartNew, vEndNew);
4886       }
4887 #endif
4888       supportNew[0] = (cMax - cStart)*4 + (c - cMax)*2 + 0;
4889       supportNew[1] = (cMax - cStart)*4 + (c - cMax)*2 + 1;
4890       ierr          = DMPlexSetSupport(rdm, newp, supportNew);CHKERRQ(ierr);
4891 #if 1
4892       if ((newp < fStartNew) || (newp >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", newp, fStartNew, fEndNew);
4893       for (p = 0; p < 2; ++p) {
4894         if ((supportNew[p] < cStartNew) || (supportNew[p] >= cEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a cell [%d, %d)", supportNew[p], cStartNew, cEndNew);
4895       }
4896 #endif
4897     }
4898     /* Old vertices have identical supports */
4899     for (v = vStart; v < vEnd; ++v) {
4900       const PetscInt  newp = vStartNew + (v - vStart);
4901       const PetscInt *support, *cone;
4902       PetscInt        size, s;
4903 
4904       ierr = DMPlexGetSupportSize(dm, v, &size);CHKERRQ(ierr);
4905       ierr = DMPlexGetSupport(dm, v, &support);CHKERRQ(ierr);
4906       for (s = 0; s < size; ++s) {
4907         if (support[s] >= fMax) {
4908           supportRef[s] = fStartNew + (fMax - fStart)*2 + (cMax - cStart)*3 + (support[s] - fMax);
4909         } else {
4910           PetscInt r = 0;
4911 
4912           ierr = DMPlexGetCone(dm, support[s], &cone);CHKERRQ(ierr);
4913           if (cone[1] == v) r = 1;
4914           supportRef[s] = fStartNew + (support[s] - fStart)*2 + r;
4915         }
4916       }
4917       ierr = DMPlexSetSupport(rdm, newp, supportRef);CHKERRQ(ierr);
4918 #if 1
4919       if ((newp < vStartNew) || (newp >= vEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a vertex [%d, %d)", newp, vStartNew, vEndNew);
4920       for (p = 0; p < size; ++p) {
4921         if ((supportRef[p] < fStartNew) || (supportRef[p] >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", supportRef[p], fStartNew, fEndNew);
4922       }
4923 #endif
4924     }
4925     /* Face vertices have 2 + (2 interior, 1 hybrid) supports */
4926     for (f = fStart; f < fMax; ++f) {
4927       const PetscInt  newp = vStartNew + (vEnd - vStart) + (f - fStart);
4928       const PetscInt *cone, *support;
4929       PetscInt        size, newSize = 2, s;
4930 
4931       ierr          = DMPlexGetSupportSize(dm, f, &size);CHKERRQ(ierr);
4932       ierr          = DMPlexGetSupport(dm, f, &support);CHKERRQ(ierr);
4933       supportRef[0] = fStartNew + (f - fStart)*2 + 0;
4934       supportRef[1] = fStartNew + (f - fStart)*2 + 1;
4935       for (s = 0; s < size; ++s) {
4936         PetscInt r = 0;
4937 
4938         ierr = DMPlexGetCone(dm, support[s], &cone);CHKERRQ(ierr);
4939         if (support[s] >= cMax) {
4940           supportRef[newSize+0] = fStartNew + (fMax - fStart)*2 + (cMax - cStart)*3 + (fEnd - fMax) + (support[s] - cMax);
4941 
4942           newSize += 1;
4943         } else {
4944           if      (cone[1] == f) r = 1;
4945           else if (cone[2] == f) r = 2;
4946           supportRef[newSize+0] = fStartNew + (fMax - fStart)*2 + (support[s] - cStart)*3 + (r+2)%3;
4947           supportRef[newSize+1] = fStartNew + (fMax - fStart)*2 + (support[s] - cStart)*3 + r;
4948 
4949           newSize += 2;
4950         }
4951       }
4952       ierr = DMPlexSetSupport(rdm, newp, supportRef);CHKERRQ(ierr);
4953 #if 1
4954       if ((newp < vStartNew) || (newp >= vEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a vertex [%d, %d)", newp, vStartNew, vEndNew);
4955       for (p = 0; p < newSize; ++p) {
4956         if ((supportRef[p] < fStartNew) || (supportRef[p] >= fEndNew)) SETERRQ3(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Point %d is not a face [%d, %d)", supportRef[p], fStartNew, fEndNew);
4957       }
4958 #endif
4959     }
4960     ierr = PetscFree(supportRef);CHKERRQ(ierr);
4961     break;
4962   default:
4963     SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unknown cell refiner %d", refiner);
4964   }
4965   PetscFunctionReturn(0);
4966 }
4967 
4968 #undef __FUNCT__
4969 #define __FUNCT__ "CellRefinerSetCoordinates"
4970 PetscErrorCode CellRefinerSetCoordinates(CellRefiner refiner, DM dm, PetscInt depthSize[], DM rdm)
4971 {
4972   PetscSection   coordSection, coordSectionNew;
4973   Vec            coordinates, coordinatesNew;
4974   PetscScalar   *coords, *coordsNew;
4975   PetscInt       dim, depth, coordSizeNew, cStart, cEnd, c, vStart, vStartNew, vEnd, v, fStart, fEnd, fMax, f;
4976   PetscErrorCode ierr;
4977 
4978   PetscFunctionBegin;
4979   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
4980   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
4981   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
4982   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
4983   ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr);
4984   ierr = DMPlexGetHybridBounds(dm, NULL, &fMax, NULL, NULL);CHKERRQ(ierr);
4985   ierr = GetDepthStart_Private(depth, depthSize, NULL, NULL, NULL, &vStartNew);CHKERRQ(ierr);
4986   ierr = DMPlexGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
4987   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &coordSectionNew);CHKERRQ(ierr);
4988   ierr = PetscSectionSetNumFields(coordSectionNew, 1);CHKERRQ(ierr);
4989   ierr = PetscSectionSetFieldComponents(coordSectionNew, 0, dim);CHKERRQ(ierr);
4990   ierr = PetscSectionSetChart(coordSectionNew, vStartNew, vStartNew+depthSize[0]);CHKERRQ(ierr);
4991   if (fMax < 0) fMax = fEnd;
4992   switch (refiner) {
4993   case 1:
4994   case 2:
4995   case 3:
4996     /* Simplicial and Hex 2D */
4997     /* All vertices have the dim coordinates */
4998     for (v = vStartNew; v < vStartNew+depthSize[0]; ++v) {
4999       ierr = PetscSectionSetDof(coordSectionNew, v, dim);CHKERRQ(ierr);
5000       ierr = PetscSectionSetFieldDof(coordSectionNew, v, 0, dim);CHKERRQ(ierr);
5001     }
5002     ierr = PetscSectionSetUp(coordSectionNew);CHKERRQ(ierr);
5003     ierr = DMPlexSetCoordinateSection(rdm, coordSectionNew);CHKERRQ(ierr);
5004     ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
5005     ierr = PetscSectionGetStorageSize(coordSectionNew, &coordSizeNew);CHKERRQ(ierr);
5006     ierr = VecCreate(PetscObjectComm((PetscObject)dm), &coordinatesNew);CHKERRQ(ierr);
5007     ierr = PetscObjectSetName((PetscObject) coordinatesNew, "coordinates");CHKERRQ(ierr);
5008     ierr = VecSetSizes(coordinatesNew, coordSizeNew, PETSC_DETERMINE);CHKERRQ(ierr);
5009     ierr = VecSetFromOptions(coordinatesNew);CHKERRQ(ierr);
5010     ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
5011     ierr = VecGetArray(coordinatesNew, &coordsNew);CHKERRQ(ierr);
5012     /* Old vertices have the same coordinates */
5013     for (v = vStart; v < vEnd; ++v) {
5014       const PetscInt newv = vStartNew + (v - vStart);
5015       PetscInt       off, offnew, d;
5016 
5017       ierr = PetscSectionGetOffset(coordSection, v, &off);CHKERRQ(ierr);
5018       ierr = PetscSectionGetOffset(coordSectionNew, newv, &offnew);CHKERRQ(ierr);
5019       for (d = 0; d < dim; ++d) {
5020         coordsNew[offnew+d] = coords[off+d];
5021       }
5022     }
5023     /* Face vertices have the average of endpoint coordinates */
5024     for (f = fStart; f < fMax; ++f) {
5025       const PetscInt  newv = vStartNew + (vEnd - vStart) + (f - fStart);
5026       const PetscInt *cone;
5027       PetscInt        coneSize, offA, offB, offnew, d;
5028 
5029       ierr = DMPlexGetConeSize(dm, f, &coneSize);CHKERRQ(ierr);
5030       if (coneSize != 2) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Face %d cone should have two vertices, not %d", f, coneSize);
5031       ierr = DMPlexGetCone(dm, f, &cone);CHKERRQ(ierr);
5032       ierr = PetscSectionGetOffset(coordSection, cone[0], &offA);CHKERRQ(ierr);
5033       ierr = PetscSectionGetOffset(coordSection, cone[1], &offB);CHKERRQ(ierr);
5034       ierr = PetscSectionGetOffset(coordSectionNew, newv, &offnew);CHKERRQ(ierr);
5035       for (d = 0; d < dim; ++d) {
5036         coordsNew[offnew+d] = 0.5*(coords[offA+d] + coords[offB+d]);
5037       }
5038     }
5039     /* Just Hex 2D */
5040     if (refiner == 2) {
5041       /* Cell vertices have the average of corner coordinates */
5042       for (c = cStart; c < cEnd; ++c) {
5043         const PetscInt newv = vStartNew + (vEnd - vStart) + (fEnd - fStart) + (c - cStart);
5044         PetscInt      *cone = NULL;
5045         PetscInt       closureSize, coneSize = 0, offA, offB, offC, offD, offnew, p, d;
5046 
5047         ierr = DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &cone);CHKERRQ(ierr);
5048         for (p = 0; p < closureSize*2; p += 2) {
5049           const PetscInt point = cone[p];
5050           if ((point >= vStart) && (point < vEnd)) cone[coneSize++] = point;
5051         }
5052         if (coneSize != 4) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Quad %d cone should have four vertices, not %d", c, coneSize);
5053         ierr = PetscSectionGetOffset(coordSection, cone[0], &offA);CHKERRQ(ierr);
5054         ierr = PetscSectionGetOffset(coordSection, cone[1], &offB);CHKERRQ(ierr);
5055         ierr = PetscSectionGetOffset(coordSection, cone[2], &offC);CHKERRQ(ierr);
5056         ierr = PetscSectionGetOffset(coordSection, cone[3], &offD);CHKERRQ(ierr);
5057         ierr = PetscSectionGetOffset(coordSectionNew, newv, &offnew);CHKERRQ(ierr);
5058         for (d = 0; d < dim; ++d) {
5059           coordsNew[offnew+d] = 0.25*(coords[offA+d] + coords[offB+d] + coords[offC+d] + coords[offD+d]);
5060         }
5061         ierr = DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &cone);CHKERRQ(ierr);
5062       }
5063     }
5064     ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
5065     ierr = VecRestoreArray(coordinatesNew, &coordsNew);CHKERRQ(ierr);
5066     ierr = DMSetCoordinatesLocal(rdm, coordinatesNew);CHKERRQ(ierr);
5067     ierr = VecDestroy(&coordinatesNew);CHKERRQ(ierr);
5068     ierr = PetscSectionDestroy(&coordSectionNew);CHKERRQ(ierr);
5069     break;
5070   default:
5071     SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unknown cell refiner %d", refiner);
5072   }
5073   PetscFunctionReturn(0);
5074 }
5075 
5076 #undef __FUNCT__
5077 #define __FUNCT__ "DMPlexCreateProcessSF"
5078 PetscErrorCode DMPlexCreateProcessSF(DM dm, PetscSF sfPoint, IS *processRanks, PetscSF *sfProcess)
5079 {
5080   PetscInt           numRoots, numLeaves, l;
5081   const PetscInt    *localPoints;
5082   const PetscSFNode *remotePoints;
5083   PetscInt          *localPointsNew;
5084   PetscSFNode       *remotePointsNew;
5085   PetscInt          *ranks, *ranksNew;
5086   PetscErrorCode     ierr;
5087 
5088   PetscFunctionBegin;
5089   ierr = PetscSFGetGraph(sfPoint, &numRoots, &numLeaves, &localPoints, &remotePoints);CHKERRQ(ierr);
5090   ierr = PetscMalloc(numLeaves * sizeof(PetscInt), &ranks);CHKERRQ(ierr);
5091   for (l = 0; l < numLeaves; ++l) {
5092     ranks[l] = remotePoints[l].rank;
5093   }
5094   ierr = PetscSortRemoveDupsInt(&numLeaves, ranks);CHKERRQ(ierr);
5095   ierr = PetscMalloc(numLeaves * sizeof(PetscInt),    &ranksNew);CHKERRQ(ierr);
5096   ierr = PetscMalloc(numLeaves * sizeof(PetscInt),    &localPointsNew);CHKERRQ(ierr);
5097   ierr = PetscMalloc(numLeaves * sizeof(PetscSFNode), &remotePointsNew);CHKERRQ(ierr);
5098   for (l = 0; l < numLeaves; ++l) {
5099     ranksNew[l]              = ranks[l];
5100     localPointsNew[l]        = l;
5101     remotePointsNew[l].index = 0;
5102     remotePointsNew[l].rank  = ranksNew[l];
5103   }
5104   ierr = PetscFree(ranks);CHKERRQ(ierr);
5105   ierr = ISCreateGeneral(PetscObjectComm((PetscObject)dm), numLeaves, ranksNew, PETSC_OWN_POINTER, processRanks);CHKERRQ(ierr);
5106   ierr = PetscSFCreate(PetscObjectComm((PetscObject)dm), sfProcess);CHKERRQ(ierr);
5107   ierr = PetscSFSetFromOptions(*sfProcess);CHKERRQ(ierr);
5108   ierr = PetscSFSetGraph(*sfProcess, 1, numLeaves, localPointsNew, PETSC_OWN_POINTER, remotePointsNew, PETSC_OWN_POINTER);CHKERRQ(ierr);
5109   PetscFunctionReturn(0);
5110 }
5111 
5112 #undef __FUNCT__
5113 #define __FUNCT__ "CellRefinerCreateSF"
5114 PetscErrorCode CellRefinerCreateSF(CellRefiner refiner, DM dm, PetscInt depthSize[], DM rdm)
5115 {
5116   PetscSF            sf, sfNew, sfProcess;
5117   IS                 processRanks;
5118   MPI_Datatype       depthType;
5119   PetscInt           numRoots, numLeaves, numLeavesNew = 0, l, m;
5120   const PetscInt    *localPoints, *neighbors;
5121   const PetscSFNode *remotePoints;
5122   PetscInt          *localPointsNew;
5123   PetscSFNode       *remotePointsNew;
5124   PetscInt          *depthSizeOld, *rdepthSize, *rdepthSizeOld, *rdepthMaxOld, *rvStart, *rvStartNew, *reStart, *reStartNew, *rfStart, *rfStartNew, *rcStart, *rcStartNew;
5125   PetscInt           depth, numNeighbors, pStartNew, pEndNew, cStart, cStartNew, cEnd, cMax, vStart, vStartNew, vEnd, vMax, fStart, fStartNew, fEnd, fMax, eStart, eStartNew, eEnd, eMax, r, n;
5126   PetscErrorCode     ierr;
5127 
5128   PetscFunctionBegin;
5129   ierr = DMPlexGetChart(rdm, &pStartNew, &pEndNew);CHKERRQ(ierr);
5130   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
5131   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
5132   ierr = DMPlexGetDepthStratum(dm, 1, &eStart, &eEnd);CHKERRQ(ierr);
5133   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
5134   ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr);
5135   ierr = DMPlexGetHybridBounds(dm, &cMax, &fMax, &eMax, &vMax);CHKERRQ(ierr);
5136   ierr = GetDepthStart_Private(depth, depthSize, &cStartNew, &fStartNew, &eStartNew, &vStartNew);CHKERRQ(ierr);
5137   switch (refiner) {
5138   case 3:
5139     if (cMax < 0) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "No cell maximum specified in hybrid mesh");
5140     cMax = PetscMin(cEnd, cMax);
5141     if (fMax < 0) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "No face maximum specified in hybrid mesh");
5142     fMax = PetscMin(fEnd, fMax);
5143   }
5144   ierr = DMGetPointSF(dm, &sf);CHKERRQ(ierr);
5145   ierr = DMGetPointSF(rdm, &sfNew);CHKERRQ(ierr);
5146   /* Caculate size of new SF */
5147   ierr = PetscSFGetGraph(sf, &numRoots, &numLeaves, &localPoints, &remotePoints);CHKERRQ(ierr);
5148   if (numRoots < 0) PetscFunctionReturn(0);
5149   for (l = 0; l < numLeaves; ++l) {
5150     const PetscInt p = localPoints[l];
5151 
5152     switch (refiner) {
5153     case 1:
5154       /* Simplicial 2D */
5155       if ((p >= vStart) && (p < vEnd)) {
5156         /* Old vertices stay the same */
5157         ++numLeavesNew;
5158       } else if ((p >= fStart) && (p < fEnd)) {
5159         /* Old faces add new faces and vertex */
5160         numLeavesNew += 1 + 2;
5161       } else if ((p >= cStart) && (p < cEnd)) {
5162         /* Old cells add new cells and interior faces */
5163         numLeavesNew += 4 + 3;
5164       }
5165       break;
5166     case 2:
5167       /* Hex 2D */
5168       if ((p >= vStart) && (p < vEnd)) {
5169         /* Old vertices stay the same */
5170         ++numLeavesNew;
5171       } else if ((p >= fStart) && (p < fEnd)) {
5172         /* Old faces add new faces and vertex */
5173         numLeavesNew += 1 + 2;
5174       } else if ((p >= cStart) && (p < cEnd)) {
5175         /* Old cells add new cells and interior faces */
5176         numLeavesNew += 4 + 4;
5177       }
5178       break;
5179     default:
5180       SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unknown cell refiner %d", refiner);
5181     }
5182   }
5183   /* Communicate depthSizes for each remote rank */
5184   ierr = DMPlexCreateProcessSF(dm, sf, &processRanks, &sfProcess);CHKERRQ(ierr);
5185   ierr = ISGetLocalSize(processRanks, &numNeighbors);CHKERRQ(ierr);
5186   ierr = PetscMalloc5((depth+1)*numNeighbors,PetscInt,&rdepthSize,numNeighbors,PetscInt,&rvStartNew,numNeighbors,PetscInt,&reStartNew,numNeighbors,PetscInt,&rfStartNew,numNeighbors,PetscInt,&rcStartNew);CHKERRQ(ierr);
5187   ierr = PetscMalloc7(depth+1,PetscInt,&depthSizeOld,(depth+1)*numNeighbors,PetscInt,&rdepthSizeOld,(depth+1)*numNeighbors,PetscInt,&rdepthMaxOld,numNeighbors,PetscInt,&rvStart,numNeighbors,PetscInt,&reStart,numNeighbors,PetscInt,&rfStart,numNeighbors,PetscInt,&rcStart);CHKERRQ(ierr);
5188   ierr = MPI_Type_contiguous(depth+1, MPIU_INT, &depthType);CHKERRQ(ierr);
5189   ierr = MPI_Type_commit(&depthType);CHKERRQ(ierr);
5190   ierr = PetscSFBcastBegin(sfProcess, depthType, depthSize, rdepthSize);CHKERRQ(ierr);
5191   ierr = PetscSFBcastEnd(sfProcess, depthType, depthSize, rdepthSize);CHKERRQ(ierr);
5192   for (n = 0; n < numNeighbors; ++n) {
5193     ierr = GetDepthStart_Private(depth, &rdepthSize[n*(depth+1)], &rcStartNew[n], &rfStartNew[n], &reStartNew[n], &rvStartNew[n]);CHKERRQ(ierr);
5194   }
5195   depthSizeOld[depth]   = cMax;
5196   depthSizeOld[0]       = vMax;
5197   depthSizeOld[depth-1] = fMax;
5198   depthSizeOld[1]       = eMax;
5199 
5200   ierr = PetscSFBcastBegin(sfProcess, depthType, depthSizeOld, rdepthMaxOld);CHKERRQ(ierr);
5201   ierr = PetscSFBcastEnd(sfProcess, depthType, depthSizeOld, rdepthMaxOld);CHKERRQ(ierr);
5202 
5203   depthSizeOld[depth]   = cEnd - cStart;
5204   depthSizeOld[0]       = vEnd - vStart;
5205   depthSizeOld[depth-1] = fEnd - fStart;
5206   depthSizeOld[1]       = eEnd - eStart;
5207 
5208   ierr = PetscSFBcastBegin(sfProcess, depthType, depthSizeOld, rdepthSizeOld);CHKERRQ(ierr);
5209   ierr = PetscSFBcastEnd(sfProcess, depthType, depthSizeOld, rdepthSizeOld);CHKERRQ(ierr);
5210   for (n = 0; n < numNeighbors; ++n) {
5211     ierr = GetDepthStart_Private(depth, &rdepthSizeOld[n*(depth+1)], &rcStart[n], &rfStart[n], &reStart[n], &rvStart[n]);CHKERRQ(ierr);
5212   }
5213   ierr = MPI_Type_free(&depthType);CHKERRQ(ierr);
5214   ierr = PetscSFDestroy(&sfProcess);CHKERRQ(ierr);
5215   /* Calculate new point SF */
5216   ierr = PetscMalloc(numLeavesNew * sizeof(PetscInt),    &localPointsNew);CHKERRQ(ierr);
5217   ierr = PetscMalloc(numLeavesNew * sizeof(PetscSFNode), &remotePointsNew);CHKERRQ(ierr);
5218   ierr = ISGetIndices(processRanks, &neighbors);CHKERRQ(ierr);
5219   for (l = 0, m = 0; l < numLeaves; ++l) {
5220     PetscInt    p     = localPoints[l];
5221     PetscInt    rp    = remotePoints[l].index, n;
5222     PetscMPIInt rrank = remotePoints[l].rank;
5223 
5224     ierr = PetscFindInt(rrank, numNeighbors, neighbors, &n);CHKERRQ(ierr);
5225     if (n < 0) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Could not locate remote rank %d", rrank);
5226     switch (refiner) {
5227     case 1:
5228       /* Simplicial 2D */
5229       if ((p >= vStart) && (p < vEnd)) {
5230         /* Old vertices stay the same */
5231         localPointsNew[m]        = vStartNew     + (p  - vStart);
5232         remotePointsNew[m].index = rvStartNew[n] + (rp - rvStart[n]);
5233         remotePointsNew[m].rank  = rrank;
5234         ++m;
5235       } else if ((p >= fStart) && (p < fEnd)) {
5236         /* Old faces add new faces and vertex */
5237         localPointsNew[m]        = vStartNew     + (vEnd - vStart)              + (p  - fStart);
5238         remotePointsNew[m].index = rvStartNew[n] + rdepthSizeOld[n*(depth+1)+0] + (rp - rfStart[n]);
5239         remotePointsNew[m].rank  = rrank;
5240         ++m;
5241         for (r = 0; r < 2; ++r, ++m) {
5242           localPointsNew[m]        = fStartNew     + (p  - fStart)*2     + r;
5243           remotePointsNew[m].index = rfStartNew[n] + (rp - rfStart[n])*2 + r;
5244           remotePointsNew[m].rank  = rrank;
5245         }
5246       } else if ((p >= cStart) && (p < cEnd)) {
5247         /* Old cells add new cells and interior faces */
5248         for (r = 0; r < 4; ++r, ++m) {
5249           localPointsNew[m]        = cStartNew     + (p  - cStart)*4     + r;
5250           remotePointsNew[m].index = rcStartNew[n] + (rp - rcStart[n])*4 + r;
5251           remotePointsNew[m].rank  = rrank;
5252         }
5253         for (r = 0; r < 3; ++r, ++m) {
5254           localPointsNew[m]        = fStartNew     + (fEnd - fStart)*2                    + (p  - cStart)*3     + r;
5255           remotePointsNew[m].index = rfStartNew[n] + rdepthSizeOld[n*(depth+1)+depth-1]*2 + (rp - rcStart[n])*3 + r;
5256           remotePointsNew[m].rank  = rrank;
5257         }
5258       }
5259       break;
5260     case 2:
5261       /* Hex 2D */
5262       if ((p >= vStart) && (p < vEnd)) {
5263         /* Old vertices stay the same */
5264         localPointsNew[m]        = vStartNew     + (p  - vStart);
5265         remotePointsNew[m].index = rvStartNew[n] + (rp - rvStart[n]);
5266         remotePointsNew[m].rank  = rrank;
5267         ++m;
5268       } else if ((p >= fStart) && (p < fEnd)) {
5269         /* Old faces add new faces and vertex */
5270         localPointsNew[m]        = vStartNew     + (vEnd - vStart)              + (p  - fStart);
5271         remotePointsNew[m].index = rvStartNew[n] + rdepthSizeOld[n*(depth+1)+0] + (rp - rfStart[n]);
5272         remotePointsNew[m].rank  = rrank;
5273         ++m;
5274         for (r = 0; r < 2; ++r, ++m) {
5275           localPointsNew[m]        = fStartNew     + (p  - fStart)*2     + r;
5276           remotePointsNew[m].index = rfStartNew[n] + (rp - rfStart[n])*2 + r;
5277           remotePointsNew[m].rank  = rrank;
5278         }
5279       } else if ((p >= cStart) && (p < cEnd)) {
5280         /* Old cells add new cells and interior faces */
5281         for (r = 0; r < 4; ++r, ++m) {
5282           localPointsNew[m]        = cStartNew     + (p  - cStart)*4     + r;
5283           remotePointsNew[m].index = rcStartNew[n] + (rp - rcStart[n])*4 + r;
5284           remotePointsNew[m].rank  = rrank;
5285         }
5286         for (r = 0; r < 4; ++r, ++m) {
5287           localPointsNew[m]        = fStartNew     + (fEnd - fStart)*2                    + (p  - cStart)*4     + r;
5288           remotePointsNew[m].index = rfStartNew[n] + rdepthSizeOld[n*(depth+1)+depth-1]*2 + (rp - rcStart[n])*4 + r;
5289           remotePointsNew[m].rank  = rrank;
5290         }
5291       }
5292       break;
5293     case 3:
5294       /* Hybrid simplicial 2D */
5295       if ((p >= vStart) && (p < vEnd)) {
5296         /* Old vertices stay the same */
5297         localPointsNew[m]        = vStartNew     + (p  - vStart);
5298         remotePointsNew[m].index = rvStartNew[n] + (rp - rvStart[n]);
5299         remotePointsNew[m].rank  = rrank;
5300         ++m;
5301       } else if ((p >= fStart) && (p < fMax)) {
5302         /* Old interior faces add new faces and vertex */
5303         localPointsNew[m]        = vStartNew     + (vEnd - vStart)              + (p  - fStart);
5304         remotePointsNew[m].index = rvStartNew[n] + rdepthSizeOld[n*(depth+1)+0] + (rp - rfStart[n]);
5305         remotePointsNew[m].rank  = rrank;
5306         ++m;
5307         for (r = 0; r < 2; ++r, ++m) {
5308           localPointsNew[m]        = fStartNew     + (p  - fStart)*2     + r;
5309           remotePointsNew[m].index = rfStartNew[n] + (rp - rfStart[n])*2 + r;
5310           remotePointsNew[m].rank  = rrank;
5311         }
5312       } else if ((p >= fMax) && (p < fEnd)) {
5313         /* Old hybrid faces stay the same */
5314         localPointsNew[m]        = fStartNew     + (fMax                              - fStart)*2     + (p  - fMax);
5315         remotePointsNew[m].index = rfStartNew[n] + (rdepthMaxOld[n*(depth+1)+depth-1] - rfStart[n])*2 + (rp - rdepthMaxOld[n*(depth+1)+depth-1]);
5316         remotePointsNew[m].rank  = rrank;
5317         ++m;
5318       } else if ((p >= cStart) && (p < cMax)) {
5319         /* Old interior cells add new cells and interior faces */
5320         for (r = 0; r < 4; ++r, ++m) {
5321           localPointsNew[m]        = cStartNew     + (p  - cStart)*4     + r;
5322           remotePointsNew[m].index = rcStartNew[n] + (rp - rcStart[n])*4 + r;
5323           remotePointsNew[m].rank  = rrank;
5324         }
5325         for (r = 0; r < 3; ++r, ++m) {
5326           localPointsNew[m]        = fStartNew     + (fMax                              - fStart)*2     + (p  - cStart)*3     + r;
5327           remotePointsNew[m].index = rfStartNew[n] + (rdepthMaxOld[n*(depth+1)+depth-1] - rfStart[n])*2 + (rp - rcStart[n])*3 + r;
5328           remotePointsNew[m].rank  = rrank;
5329         }
5330       } else if ((p >= cStart) && (p < cMax)) {
5331         /* Old hybrid cells add new cells and hybrid face */
5332         for (r = 0; r < 2; ++r, ++m) {
5333           localPointsNew[m]        = cStartNew     + (p  - cStart)*4     + r;
5334           remotePointsNew[m].index = rcStartNew[n] + (rp - rcStart[n])*4 + r;
5335           remotePointsNew[m].rank  = rrank;
5336         }
5337         localPointsNew[m]        = fStartNew     + (fMax                              - fStart)*2     + (cMax                            - cStart)*3     + (p  - cMax);
5338         remotePointsNew[m].index = rfStartNew[n] + (rdepthMaxOld[n*(depth+1)+depth-1] - rfStart[n])*2 + (rdepthMaxOld[n*(depth+1)+depth] - rcStart[n])*3 + (rp - rdepthMaxOld[n*(depth+1)+depth]);
5339         remotePointsNew[m].rank  = rrank;
5340         ++m;
5341       }
5342       break;
5343     default:
5344       SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unknown cell refiner %d", refiner);
5345     }
5346   }
5347   ierr = ISRestoreIndices(processRanks, &neighbors);CHKERRQ(ierr);
5348   ierr = ISDestroy(&processRanks);CHKERRQ(ierr);
5349   ierr = PetscSFSetGraph(sfNew, pEndNew-pStartNew, numLeavesNew, localPointsNew, PETSC_OWN_POINTER, remotePointsNew, PETSC_OWN_POINTER);CHKERRQ(ierr);
5350   ierr = PetscFree5(rdepthSize,rvStartNew,reStartNew,rfStartNew,rcStartNew);CHKERRQ(ierr);
5351   ierr = PetscFree6(depthSizeOld,rdepthSizeOld,rvStart,reStart,rfStart,rcStart);CHKERRQ(ierr);
5352   PetscFunctionReturn(0);
5353 }
5354 
5355 #undef __FUNCT__
5356 #define __FUNCT__ "CellRefinerCreateLabels"
5357 PetscErrorCode CellRefinerCreateLabels(CellRefiner refiner, DM dm, PetscInt depthSize[], DM rdm)
5358 {
5359   PetscInt       numLabels, l;
5360   PetscInt       newp, cStart, cStartNew, cEnd, cMax, vStart, vStartNew, vEnd, vMax, fStart, fStartNew, fEnd, fMax, eStart, eEnd, eMax, r;
5361   PetscErrorCode ierr;
5362 
5363   PetscFunctionBegin;
5364   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
5365   ierr = DMPlexGetDepthStratum(dm, 1, &eStart, &eEnd);CHKERRQ(ierr);
5366   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
5367   ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr);
5368 
5369   cStartNew = 0;
5370   vStartNew = depthSize[2];
5371   fStartNew = depthSize[2] + depthSize[0];
5372 
5373   ierr = DMPlexGetNumLabels(dm, &numLabels);CHKERRQ(ierr);
5374   ierr = DMPlexGetHybridBounds(dm, &cMax, &fMax, &eMax, &vMax);CHKERRQ(ierr);
5375   switch (refiner) {
5376   case 3:
5377     if (cMax < 0) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "No cell maximum specified in hybrid mesh");
5378     cMax = PetscMin(cEnd, cMax);
5379     if (fMax < 0) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "No face maximum specified in hybrid mesh");
5380     fMax = PetscMin(fEnd, fMax);
5381   }
5382   for (l = 0; l < numLabels; ++l) {
5383     DMLabel         label, labelNew;
5384     const char     *lname;
5385     PetscBool       isDepth;
5386     IS              valueIS;
5387     const PetscInt *values;
5388     PetscInt        numValues, val;
5389 
5390     ierr = DMPlexGetLabelName(dm, l, &lname);CHKERRQ(ierr);
5391     ierr = PetscStrcmp(lname, "depth", &isDepth);CHKERRQ(ierr);
5392     if (isDepth) continue;
5393     ierr = DMPlexCreateLabel(rdm, lname);CHKERRQ(ierr);
5394     ierr = DMPlexGetLabel(dm, lname, &label);CHKERRQ(ierr);
5395     ierr = DMPlexGetLabel(rdm, lname, &labelNew);CHKERRQ(ierr);
5396     ierr = DMLabelGetValueIS(label, &valueIS);CHKERRQ(ierr);
5397     ierr = ISGetLocalSize(valueIS, &numValues);CHKERRQ(ierr);
5398     ierr = ISGetIndices(valueIS, &values);CHKERRQ(ierr);
5399     for (val = 0; val < numValues; ++val) {
5400       IS              pointIS;
5401       const PetscInt *points;
5402       PetscInt        numPoints, n;
5403 
5404       ierr = DMLabelGetStratumIS(label, values[val], &pointIS);CHKERRQ(ierr);
5405       ierr = ISGetLocalSize(pointIS, &numPoints);CHKERRQ(ierr);
5406       ierr = ISGetIndices(pointIS, &points);CHKERRQ(ierr);
5407       for (n = 0; n < numPoints; ++n) {
5408         const PetscInt p = points[n];
5409         switch (refiner) {
5410         case 1:
5411           /* Simplicial 2D */
5412           if ((p >= vStart) && (p < vEnd)) {
5413             /* Old vertices stay the same */
5414             newp = vStartNew + (p - vStart);
5415             ierr = DMLabelSetValue(labelNew, newp, values[val]);CHKERRQ(ierr);
5416           } else if ((p >= fStart) && (p < fEnd)) {
5417             /* Old faces add new faces and vertex */
5418             newp = vStartNew + (vEnd - vStart) + (p - fStart);
5419             ierr = DMLabelSetValue(labelNew, newp, values[val]);CHKERRQ(ierr);
5420             for (r = 0; r < 2; ++r) {
5421               newp = fStartNew + (p - fStart)*2 + r;
5422               ierr = DMLabelSetValue(labelNew, newp, values[val]);CHKERRQ(ierr);
5423             }
5424           } else if ((p >= cStart) && (p < cEnd)) {
5425             /* Old cells add new cells and interior faces */
5426             for (r = 0; r < 4; ++r) {
5427               newp = cStartNew + (p - cStart)*4 + r;
5428               ierr = DMLabelSetValue(labelNew, newp, values[val]);CHKERRQ(ierr);
5429             }
5430             for (r = 0; r < 3; ++r) {
5431               newp = fStartNew + (fEnd - fStart)*2 + (p - cStart)*3 + r;
5432               ierr = DMLabelSetValue(labelNew, newp, values[val]);CHKERRQ(ierr);
5433             }
5434           }
5435           break;
5436         case 2:
5437           /* Hex 2D */
5438           if ((p >= vStart) && (p < vEnd)) {
5439             /* Old vertices stay the same */
5440             newp = vStartNew + (p - vStart);
5441             ierr = DMLabelSetValue(labelNew, newp, values[val]);CHKERRQ(ierr);
5442           } else if ((p >= fStart) && (p < fEnd)) {
5443             /* Old faces add new faces and vertex */
5444             newp = vStartNew + (vEnd - vStart) + (p - fStart);
5445             ierr = DMLabelSetValue(labelNew, newp, values[val]);CHKERRQ(ierr);
5446             for (r = 0; r < 2; ++r) {
5447               newp = fStartNew + (p - fStart)*2 + r;
5448               ierr = DMLabelSetValue(labelNew, newp, values[val]);CHKERRQ(ierr);
5449             }
5450           } else if ((p >= cStart) && (p < cEnd)) {
5451             /* Old cells add new cells and interior faces and vertex */
5452             for (r = 0; r < 4; ++r) {
5453               newp = cStartNew + (p - cStart)*4 + r;
5454               ierr = DMLabelSetValue(labelNew, newp, values[val]);CHKERRQ(ierr);
5455             }
5456             for (r = 0; r < 4; ++r) {
5457               newp = fStartNew + (fEnd - fStart)*2 + (p - cStart)*4 + r;
5458               ierr = DMLabelSetValue(labelNew, newp, values[val]);CHKERRQ(ierr);
5459             }
5460             newp = vStartNew + (vEnd - vStart) + (fEnd - fStart) + (p - cStart);
5461             ierr = DMLabelSetValue(labelNew, newp, values[val]);CHKERRQ(ierr);
5462           }
5463           break;
5464         case 3:
5465           /* Hybrid simplicial 2D */
5466           if ((p >= vStart) && (p < vEnd)) {
5467             /* Old vertices stay the same */
5468             newp = vStartNew + (p - vStart);
5469             ierr = DMLabelSetValue(labelNew, newp, values[val]);CHKERRQ(ierr);
5470           } else if ((p >= fStart) && (p < fMax)) {
5471             /* Old interior faces add new faces and vertex */
5472             newp = vStartNew + (vEnd - vStart) + (p - fStart);
5473             ierr = DMLabelSetValue(labelNew, newp, values[val]);CHKERRQ(ierr);
5474             for (r = 0; r < 2; ++r) {
5475               newp = fStartNew + (p - fStart)*2 + r;
5476               ierr = DMLabelSetValue(labelNew, newp, values[val]);CHKERRQ(ierr);
5477             }
5478           } else if ((p >= fMax) && (p < fEnd)) {
5479             /* Old hybrid faces stay the same */
5480             newp = fStartNew + (fMax - fStart)*2 + (p - fMax);
5481             ierr = DMLabelSetValue(labelNew, newp, values[val]);CHKERRQ(ierr);
5482           } else if ((p >= cStart) && (p < cMax)) {
5483             /* Old interior cells add new cells and interior faces */
5484             for (r = 0; r < 4; ++r) {
5485               newp = cStartNew + (p - cStart)*4 + r;
5486               ierr = DMLabelSetValue(labelNew, newp, values[val]);CHKERRQ(ierr);
5487             }
5488             for (r = 0; r < 3; ++r) {
5489               newp = fStartNew + (fEnd - fStart)*2 + (p - cStart)*3 + r;
5490               ierr = DMLabelSetValue(labelNew, newp, values[val]);CHKERRQ(ierr);
5491             }
5492           } else if ((p >= cMax) && (p < cEnd)) {
5493             /* Old hybrid cells add new cells and hybrid face */
5494             for (r = 0; r < 2; ++r) {
5495               newp = cStartNew + (cMax - cStart)*4 + (p - cMax)*2 + r;
5496               ierr = DMLabelSetValue(labelNew, newp, values[val]);CHKERRQ(ierr);
5497             }
5498             newp = fStartNew + (fMax - fStart)*2 + (cMax - cStart)*3 + (p - cMax);
5499             ierr = DMLabelSetValue(labelNew, newp, values[val]);CHKERRQ(ierr);
5500           }
5501           break;
5502         default:
5503           SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unknown cell refiner %d", refiner);
5504         }
5505       }
5506       ierr = ISRestoreIndices(pointIS, &points);CHKERRQ(ierr);
5507       ierr = ISDestroy(&pointIS);CHKERRQ(ierr);
5508     }
5509     ierr = ISRestoreIndices(valueIS, &values);CHKERRQ(ierr);
5510     ierr = ISDestroy(&valueIS);CHKERRQ(ierr);
5511     if (0) {
5512       ierr = PetscViewerASCIISynchronizedAllow(PETSC_VIEWER_STDOUT_WORLD, PETSC_TRUE);CHKERRQ(ierr);
5513       ierr = DMLabelView(labelNew, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
5514       ierr = PetscViewerFlush(PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
5515     }
5516   }
5517   PetscFunctionReturn(0);
5518 }
5519 
5520 #undef __FUNCT__
5521 #define __FUNCT__ "DMPlexRefine_Uniform"
5522 /* This will only work for interpolated meshes */
5523 PetscErrorCode DMPlexRefine_Uniform(DM dm, CellRefiner cellRefiner, DM *dmRefined)
5524 {
5525   DM             rdm;
5526   PetscInt      *depthSize;
5527   PetscInt       dim, depth = 0, d, pStart = 0, pEnd = 0;
5528   PetscErrorCode ierr;
5529 
5530   PetscFunctionBegin;
5531   ierr = DMCreate(PetscObjectComm((PetscObject)dm), &rdm);CHKERRQ(ierr);
5532   ierr = DMSetType(rdm, DMPLEX);CHKERRQ(ierr);
5533   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
5534   ierr = DMPlexSetDimension(rdm, dim);CHKERRQ(ierr);
5535   /* Calculate number of new points of each depth */
5536   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
5537   ierr = PetscMalloc((depth+1) * sizeof(PetscInt), &depthSize);CHKERRQ(ierr);
5538   ierr = PetscMemzero(depthSize, (depth+1) * sizeof(PetscInt));CHKERRQ(ierr);
5539   ierr = CellRefinerGetSizes(cellRefiner, dm, depthSize);CHKERRQ(ierr);
5540   /* Step 1: Set chart */
5541   for (d = 0; d <= depth; ++d) pEnd += depthSize[d];
5542   ierr = DMPlexSetChart(rdm, pStart, pEnd);CHKERRQ(ierr);
5543   /* Step 2: Set cone/support sizes */
5544   ierr = CellRefinerSetConeSizes(cellRefiner, dm, depthSize, rdm);CHKERRQ(ierr);
5545   /* Step 3: Setup refined DM */
5546   ierr = DMSetUp(rdm);CHKERRQ(ierr);
5547   /* Step 4: Set cones and supports */
5548   ierr = CellRefinerSetCones(cellRefiner, dm, depthSize, rdm);CHKERRQ(ierr);
5549   /* Step 5: Stratify */
5550   ierr = DMPlexStratify(rdm);CHKERRQ(ierr);
5551   /* Step 6: Set coordinates for vertices */
5552   ierr = CellRefinerSetCoordinates(cellRefiner, dm, depthSize, rdm);CHKERRQ(ierr);
5553   /* Step 7: Create pointSF */
5554   ierr = CellRefinerCreateSF(cellRefiner, dm, depthSize, rdm);CHKERRQ(ierr);
5555   /* Step 8: Create labels */
5556   ierr = CellRefinerCreateLabels(cellRefiner, dm, depthSize, rdm);CHKERRQ(ierr);
5557   ierr = PetscFree(depthSize);CHKERRQ(ierr);
5558 
5559   *dmRefined = rdm;
5560   PetscFunctionReturn(0);
5561 }
5562 
5563 #undef __FUNCT__
5564 #define __FUNCT__ "DMPlexSetRefinementUniform"
5565 PetscErrorCode DMPlexSetRefinementUniform(DM dm, PetscBool refinementUniform)
5566 {
5567   DM_Plex *mesh = (DM_Plex*) dm->data;
5568 
5569   PetscFunctionBegin;
5570   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5571   mesh->refinementUniform = refinementUniform;
5572   PetscFunctionReturn(0);
5573 }
5574 
5575 #undef __FUNCT__
5576 #define __FUNCT__ "DMPlexGetRefinementUniform"
5577 PetscErrorCode DMPlexGetRefinementUniform(DM dm, PetscBool *refinementUniform)
5578 {
5579   DM_Plex *mesh = (DM_Plex*) dm->data;
5580 
5581   PetscFunctionBegin;
5582   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5583   PetscValidPointer(refinementUniform,  2);
5584   *refinementUniform = mesh->refinementUniform;
5585   PetscFunctionReturn(0);
5586 }
5587 
5588 #undef __FUNCT__
5589 #define __FUNCT__ "DMPlexSetRefinementLimit"
5590 PetscErrorCode DMPlexSetRefinementLimit(DM dm, PetscReal refinementLimit)
5591 {
5592   DM_Plex *mesh = (DM_Plex*) dm->data;
5593 
5594   PetscFunctionBegin;
5595   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5596   mesh->refinementLimit = refinementLimit;
5597   PetscFunctionReturn(0);
5598 }
5599 
5600 #undef __FUNCT__
5601 #define __FUNCT__ "DMPlexGetRefinementLimit"
5602 PetscErrorCode DMPlexGetRefinementLimit(DM dm, PetscReal *refinementLimit)
5603 {
5604   DM_Plex *mesh = (DM_Plex*) dm->data;
5605 
5606   PetscFunctionBegin;
5607   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5608   PetscValidPointer(refinementLimit,  2);
5609   /* if (mesh->refinementLimit < 0) = getMaxVolume()/2.0; */
5610   *refinementLimit = mesh->refinementLimit;
5611   PetscFunctionReturn(0);
5612 }
5613 
5614 #undef __FUNCT__
5615 #define __FUNCT__ "DMPlexGetCellRefiner_Private"
5616 PetscErrorCode DMPlexGetCellRefiner_Private(DM dm, CellRefiner *cellRefiner)
5617 {
5618   PetscInt       dim, cStart, coneSize, cMax;
5619   PetscErrorCode ierr;
5620 
5621   PetscFunctionBegin;
5622   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
5623   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, NULL);CHKERRQ(ierr);
5624   ierr = DMPlexGetConeSize(dm, cStart, &coneSize);CHKERRQ(ierr);
5625   ierr = DMPlexGetHybridBounds(dm, &cMax, NULL, NULL, NULL);CHKERRQ(ierr);
5626   switch (dim) {
5627   case 2:
5628     switch (coneSize) {
5629     case 3:
5630       if (cMax >= 0) *cellRefiner = 3; /* Hybrid */
5631       else *cellRefiner = 1; /* Triangular */
5632       break;
5633     case 4:
5634       if (cMax >= 0) *cellRefiner = 4; /* Hybrid */
5635       else *cellRefiner = 2; /* Quadrilateral */
5636       break;
5637     default:
5638       SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unknown coneSize %d in dimension %d for cell refiner", coneSize, dim);
5639     }
5640     break;
5641   default:
5642     SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unknown dimension %d for cell refiner", dim);
5643   }
5644   PetscFunctionReturn(0);
5645 }
5646 
5647 #undef __FUNCT__
5648 #define __FUNCT__ "DMRefine_Plex"
5649 PetscErrorCode DMRefine_Plex(DM dm, MPI_Comm comm, DM *dmRefined)
5650 {
5651   PetscReal      refinementLimit;
5652   PetscInt       dim, cStart, cEnd;
5653   char           genname[1024], *name = NULL;
5654   PetscBool      isUniform, isTriangle = PETSC_FALSE, isTetgen = PETSC_FALSE, isCTetgen = PETSC_FALSE, flg;
5655   PetscErrorCode ierr;
5656 
5657   PetscFunctionBegin;
5658   ierr = DMPlexGetRefinementUniform(dm, &isUniform);CHKERRQ(ierr);
5659   if (isUniform) {
5660     CellRefiner cellRefiner;
5661 
5662     ierr = DMPlexGetCellRefiner_Private(dm, &cellRefiner);CHKERRQ(ierr);
5663     ierr = DMPlexRefine_Uniform(dm, cellRefiner, dmRefined);CHKERRQ(ierr);
5664     PetscFunctionReturn(0);
5665   }
5666   ierr = DMPlexGetRefinementLimit(dm, &refinementLimit);CHKERRQ(ierr);
5667   if (refinementLimit == 0.0) PetscFunctionReturn(0);
5668   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
5669   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
5670   ierr = PetscOptionsGetString(((PetscObject) dm)->prefix, "-dm_plex_generator", genname, 1024, &flg);CHKERRQ(ierr);
5671   if (flg) name = genname;
5672   if (name) {
5673     ierr = PetscStrcmp(name, "triangle", &isTriangle);CHKERRQ(ierr);
5674     ierr = PetscStrcmp(name, "tetgen",   &isTetgen);CHKERRQ(ierr);
5675     ierr = PetscStrcmp(name, "ctetgen",  &isCTetgen);CHKERRQ(ierr);
5676   }
5677   switch (dim) {
5678   case 2:
5679     if (!name || isTriangle) {
5680 #if defined(PETSC_HAVE_TRIANGLE)
5681       double  *maxVolumes;
5682       PetscInt c;
5683 
5684       ierr = PetscMalloc((cEnd - cStart) * sizeof(double), &maxVolumes);CHKERRQ(ierr);
5685       for (c = 0; c < cEnd-cStart; ++c) maxVolumes[c] = refinementLimit;
5686       ierr = DMPlexRefine_Triangle(dm, maxVolumes, dmRefined);CHKERRQ(ierr);
5687 #else
5688       SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Mesh refinement needs external package support.\nPlease reconfigure with --download-triangle.");
5689 #endif
5690     } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Unknown 2D mesh generation package %s", name);
5691     break;
5692   case 3:
5693     if (!name || isCTetgen) {
5694 #if defined(PETSC_HAVE_CTETGEN)
5695       PetscReal *maxVolumes;
5696       PetscInt   c;
5697 
5698       ierr = PetscMalloc((cEnd - cStart) * sizeof(PetscReal), &maxVolumes);CHKERRQ(ierr);
5699       for (c = 0; c < cEnd-cStart; ++c) maxVolumes[c] = refinementLimit;
5700       ierr = DMPlexRefine_CTetgen(dm, maxVolumes, dmRefined);CHKERRQ(ierr);
5701 #else
5702       SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "CTetgen needs external package support.\nPlease reconfigure with --download-ctetgen.");
5703 #endif
5704     } else if (isTetgen) {
5705 #if defined(PETSC_HAVE_TETGEN)
5706       double  *maxVolumes;
5707       PetscInt c;
5708 
5709       ierr = PetscMalloc((cEnd - cStart) * sizeof(double), &maxVolumes);CHKERRQ(ierr);
5710       for (c = 0; c < cEnd-cStart; ++c) maxVolumes[c] = refinementLimit;
5711       ierr = DMPlexRefine_Tetgen(dm, maxVolumes, dmRefined);CHKERRQ(ierr);
5712 #else
5713       SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Tetgen needs external package support.\nPlease reconfigure with --with-c-language=cxx --download-tetgen.");
5714 #endif
5715     } else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Unknown 3D mesh generation package %s", name);
5716     break;
5717   default:
5718     SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Mesh refinement in dimension %d is not supported.", dim);
5719   }
5720   PetscFunctionReturn(0);
5721 }
5722 
5723 #undef __FUNCT__
5724 #define __FUNCT__ "DMPlexGetDepth"
5725 /*@
5726   DMPlexGetDepth - get the number of strata
5727 
5728   Not Collective
5729 
5730   Input Parameters:
5731 . dm           - The DMPlex object
5732 
5733   Output Parameters:
5734 . depth - number of strata
5735 
5736   Level: developer
5737 
5738   Notes:
5739   DMPlexGetHeightStratum(dm,0,..) should return the same points as DMPlexGetDepthStratum(dm,depth,..).
5740 
5741 .keywords: mesh, points
5742 .seealso: DMPlexGetHeightStratum(), DMPlexGetDepthStratum()
5743 @*/
5744 PetscErrorCode DMPlexGetDepth(DM dm, PetscInt *depth)
5745 {
5746   PetscInt       d;
5747   PetscErrorCode ierr;
5748 
5749   PetscFunctionBegin;
5750   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5751   PetscValidPointer(depth, 2);
5752   ierr   = DMPlexGetLabelSize(dm, "depth", &d);CHKERRQ(ierr);
5753   *depth = d-1;
5754   PetscFunctionReturn(0);
5755 }
5756 
5757 #undef __FUNCT__
5758 #define __FUNCT__ "DMPlexGetDepthStratum"
5759 /*@
5760   DMPlexGetDepthStratum - Get the bounds [start, end) for all points at a certain depth.
5761 
5762   Not Collective
5763 
5764   Input Parameters:
5765 + dm           - The DMPlex object
5766 - stratumValue - The requested depth
5767 
5768   Output Parameters:
5769 + start - The first point at this depth
5770 - end   - One beyond the last point at this depth
5771 
5772   Level: developer
5773 
5774 .keywords: mesh, points
5775 .seealso: DMPlexGetHeightStratum(), DMPlexGetDepth()
5776 @*/
5777 PetscErrorCode DMPlexGetDepthStratum(DM dm, PetscInt stratumValue, PetscInt *start, PetscInt *end)
5778 {
5779   DM_Plex       *mesh = (DM_Plex*) dm->data;
5780   DMLabel        next  = mesh->labels;
5781   PetscBool      flg   = PETSC_FALSE;
5782   PetscInt       depth;
5783   PetscErrorCode ierr;
5784 
5785   PetscFunctionBegin;
5786   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5787   if (stratumValue < 0) {
5788     ierr = DMPlexGetChart(dm, start, end);CHKERRQ(ierr);
5789     PetscFunctionReturn(0);
5790   } else {
5791     PetscInt pStart, pEnd;
5792 
5793     if (start) *start = 0;
5794     if (end)   *end   = 0;
5795     ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
5796     if (pStart == pEnd) PetscFunctionReturn(0);
5797   }
5798   ierr = DMPlexHasLabel(dm, "depth", &flg);CHKERRQ(ierr);
5799   if (!flg) SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "No label named depth was found");CHKERRQ(ierr);
5800   /* We should have a generic GetLabel() and a Label class */
5801   while (next) {
5802     ierr = PetscStrcmp("depth", next->name, &flg);CHKERRQ(ierr);
5803     if (flg) break;
5804     next = next->next;
5805   }
5806   /* Strata are sorted and contiguous -- In addition, depth/height is either full or 1-level */
5807   depth = stratumValue;
5808   if ((depth < 0) || (depth >= next->numStrata)) {
5809     if (start) *start = 0;
5810     if (end)   *end   = 0;
5811   } else {
5812     if (start) *start = next->points[next->stratumOffsets[depth]];
5813     if (end)   *end   = next->points[next->stratumOffsets[depth]+next->stratumSizes[depth]-1]+1;
5814   }
5815   PetscFunctionReturn(0);
5816 }
5817 
5818 #undef __FUNCT__
5819 #define __FUNCT__ "DMPlexGetHeightStratum"
5820 /*@
5821   DMPlexGetHeightStratum - Get the bounds [start, end) for all points at a certain height.
5822 
5823   Not Collective
5824 
5825   Input Parameters:
5826 + dm           - The DMPlex object
5827 - stratumValue - The requested height
5828 
5829   Output Parameters:
5830 + start - The first point at this height
5831 - end   - One beyond the last point at this height
5832 
5833   Level: developer
5834 
5835 .keywords: mesh, points
5836 .seealso: DMPlexGetDepthStratum(), DMPlexGetDepth()
5837 @*/
5838 PetscErrorCode DMPlexGetHeightStratum(DM dm, PetscInt stratumValue, PetscInt *start, PetscInt *end)
5839 {
5840   DM_Plex       *mesh = (DM_Plex*) dm->data;
5841   DMLabel        next  = mesh->labels;
5842   PetscBool      flg   = PETSC_FALSE;
5843   PetscInt       depth;
5844   PetscErrorCode ierr;
5845 
5846   PetscFunctionBegin;
5847   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5848   if (stratumValue < 0) {
5849     ierr = DMPlexGetChart(dm, start, end);CHKERRQ(ierr);
5850   } else {
5851     PetscInt pStart, pEnd;
5852 
5853     if (start) *start = 0;
5854     if (end)   *end   = 0;
5855     ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
5856     if (pStart == pEnd) PetscFunctionReturn(0);
5857   }
5858   ierr = DMPlexHasLabel(dm, "depth", &flg);CHKERRQ(ierr);
5859   if (!flg) SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "No label named depth was found");CHKERRQ(ierr);
5860   /* We should have a generic GetLabel() and a Label class */
5861   while (next) {
5862     ierr = PetscStrcmp("depth", next->name, &flg);CHKERRQ(ierr);
5863     if (flg) break;
5864     next = next->next;
5865   }
5866   /* Strata are sorted and contiguous -- In addition, depth/height is either full or 1-level */
5867   depth = next->stratumValues[next->numStrata-1] - stratumValue;
5868   if ((depth < 0) || (depth >= next->numStrata)) {
5869     if (start) *start = 0;
5870     if (end)   *end   = 0;
5871   } else {
5872     if (start) *start = next->points[next->stratumOffsets[depth]];
5873     if (end)   *end   = next->points[next->stratumOffsets[depth]+next->stratumSizes[depth]-1]+1;
5874   }
5875   PetscFunctionReturn(0);
5876 }
5877 
5878 #undef __FUNCT__
5879 #define __FUNCT__ "DMPlexCreateSectionInitial"
5880 /* Set the number of dof on each point and separate by fields */
5881 PetscErrorCode DMPlexCreateSectionInitial(DM dm, PetscInt dim, PetscInt numFields,const PetscInt numComp[],const PetscInt numDof[], PetscSection *section)
5882 {
5883   PetscInt      *numDofTot;
5884   PetscInt       pStart = 0, pEnd = 0;
5885   PetscInt       p, d, f;
5886   PetscErrorCode ierr;
5887 
5888   PetscFunctionBegin;
5889   ierr = PetscMalloc((dim+1) * sizeof(PetscInt), &numDofTot);CHKERRQ(ierr);
5890   for (d = 0; d <= dim; ++d) {
5891     numDofTot[d] = 0;
5892     for (f = 0; f < numFields; ++f) numDofTot[d] += numDof[f*(dim+1)+d];
5893   }
5894   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), section);CHKERRQ(ierr);
5895   if (numFields > 0) {
5896     ierr = PetscSectionSetNumFields(*section, numFields);CHKERRQ(ierr);
5897     if (numComp) {
5898       for (f = 0; f < numFields; ++f) {
5899         ierr = PetscSectionSetFieldComponents(*section, f, numComp[f]);CHKERRQ(ierr);
5900       }
5901     }
5902   }
5903   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
5904   ierr = PetscSectionSetChart(*section, pStart, pEnd);CHKERRQ(ierr);
5905   for (d = 0; d <= dim; ++d) {
5906     ierr = DMPlexGetDepthStratum(dm, d, &pStart, &pEnd);CHKERRQ(ierr);
5907     for (p = pStart; p < pEnd; ++p) {
5908       for (f = 0; f < numFields; ++f) {
5909         ierr = PetscSectionSetFieldDof(*section, p, f, numDof[f*(dim+1)+d]);CHKERRQ(ierr);
5910       }
5911       ierr = PetscSectionSetDof(*section, p, numDofTot[d]);CHKERRQ(ierr);
5912     }
5913   }
5914   ierr = PetscFree(numDofTot);CHKERRQ(ierr);
5915   PetscFunctionReturn(0);
5916 }
5917 
5918 #undef __FUNCT__
5919 #define __FUNCT__ "DMPlexCreateSectionBCDof"
5920 /* Set the number of dof on each point and separate by fields
5921    If constDof is PETSC_DETERMINE, constrain every dof on the point
5922 */
5923 PetscErrorCode DMPlexCreateSectionBCDof(DM dm, PetscInt numBC,const PetscInt bcField[],const IS bcPoints[], PetscInt constDof, PetscSection section)
5924 {
5925   PetscInt       numFields;
5926   PetscInt       bc;
5927   PetscErrorCode ierr;
5928 
5929   PetscFunctionBegin;
5930   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
5931   for (bc = 0; bc < numBC; ++bc) {
5932     PetscInt        field = 0;
5933     const PetscInt *idx;
5934     PetscInt        n, i;
5935 
5936     if (numFields) field = bcField[bc];
5937     ierr = ISGetLocalSize(bcPoints[bc], &n);CHKERRQ(ierr);
5938     ierr = ISGetIndices(bcPoints[bc], &idx);CHKERRQ(ierr);
5939     for (i = 0; i < n; ++i) {
5940       const PetscInt p        = idx[i];
5941       PetscInt       numConst = constDof;
5942 
5943       /* Constrain every dof on the point */
5944       if (numConst < 0) {
5945         if (numFields) {
5946           ierr = PetscSectionGetFieldDof(section, p, field, &numConst);CHKERRQ(ierr);
5947         } else {
5948           ierr = PetscSectionGetDof(section, p, &numConst);CHKERRQ(ierr);
5949         }
5950       }
5951       if (numFields) {
5952         ierr = PetscSectionAddFieldConstraintDof(section, p, field, numConst);CHKERRQ(ierr);
5953       }
5954       ierr = PetscSectionAddConstraintDof(section, p, numConst);CHKERRQ(ierr);
5955     }
5956     ierr = ISRestoreIndices(bcPoints[bc], &idx);CHKERRQ(ierr);
5957   }
5958   PetscFunctionReturn(0);
5959 }
5960 
5961 #undef __FUNCT__
5962 #define __FUNCT__ "DMPlexCreateSectionBCIndicesAll"
5963 /* Set the constrained indices on each point and separate by fields */
5964 PetscErrorCode DMPlexCreateSectionBCIndicesAll(DM dm, PetscSection section)
5965 {
5966   PetscInt      *maxConstraints;
5967   PetscInt       numFields, f, pStart = 0, pEnd = 0, p;
5968   PetscErrorCode ierr;
5969 
5970   PetscFunctionBegin;
5971   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
5972   ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
5973   ierr = PetscMalloc((numFields+1) * sizeof(PetscInt), &maxConstraints);CHKERRQ(ierr);
5974   for (f = 0; f <= numFields; ++f) maxConstraints[f] = 0;
5975   for (p = pStart; p < pEnd; ++p) {
5976     PetscInt cdof;
5977 
5978     if (numFields) {
5979       for (f = 0; f < numFields; ++f) {
5980         ierr              = PetscSectionGetFieldConstraintDof(section, p, f, &cdof);CHKERRQ(ierr);
5981         maxConstraints[f] = PetscMax(maxConstraints[f], cdof);
5982       }
5983     } else {
5984       ierr              = PetscSectionGetConstraintDof(section, p, &cdof);CHKERRQ(ierr);
5985       maxConstraints[0] = PetscMax(maxConstraints[0], cdof);
5986     }
5987   }
5988   for (f = 0; f < numFields; ++f) {
5989     maxConstraints[numFields] += maxConstraints[f];
5990   }
5991   if (maxConstraints[numFields]) {
5992     PetscInt *indices;
5993 
5994     ierr = PetscMalloc(maxConstraints[numFields] * sizeof(PetscInt), &indices);CHKERRQ(ierr);
5995     for (p = pStart; p < pEnd; ++p) {
5996       PetscInt cdof, d;
5997 
5998       ierr = PetscSectionGetConstraintDof(section, p, &cdof);CHKERRQ(ierr);
5999       if (cdof) {
6000         if (cdof > maxConstraints[numFields]) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_LIB, "Likely memory corruption, point %D cDof %D > maxConstraints %D", p, cdof, maxConstraints[numFields]);
6001         if (numFields) {
6002           PetscInt numConst = 0, foff = 0;
6003 
6004           for (f = 0; f < numFields; ++f) {
6005             PetscInt cfdof, fdof;
6006 
6007             ierr = PetscSectionGetFieldDof(section, p, f, &fdof);CHKERRQ(ierr);
6008             ierr = PetscSectionGetFieldConstraintDof(section, p, f, &cfdof);CHKERRQ(ierr);
6009             /* Change constraint numbering from absolute local dof number to field relative local dof number */
6010             for (d = 0; d < cfdof; ++d) indices[numConst+d] = d;
6011             ierr = PetscSectionSetFieldConstraintIndices(section, p, f, &indices[numConst]);CHKERRQ(ierr);
6012             for (d = 0; d < cfdof; ++d) indices[numConst+d] += foff;
6013             numConst += cfdof;
6014             foff     += fdof;
6015           }
6016           if (cdof != numConst) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_LIB, "Total number of field constraints %D should be %D", numConst, cdof);
6017         } else {
6018           for (d = 0; d < cdof; ++d) indices[d] = d;
6019         }
6020         ierr = PetscSectionSetConstraintIndices(section, p, indices);CHKERRQ(ierr);
6021       }
6022     }
6023     ierr = PetscFree(indices);CHKERRQ(ierr);
6024   }
6025   ierr = PetscFree(maxConstraints);CHKERRQ(ierr);
6026   PetscFunctionReturn(0);
6027 }
6028 
6029 #undef __FUNCT__
6030 #define __FUNCT__ "DMPlexCreateSectionBCIndicesField"
6031 /* Set the constrained field indices on each point */
6032 PetscErrorCode DMPlexCreateSectionBCIndicesField(DM dm, PetscInt field, IS bcPoints, IS constraintIndices, PetscSection section)
6033 {
6034   const PetscInt *points, *indices;
6035   PetscInt        numFields, maxDof, numPoints, p, numConstraints;
6036   PetscErrorCode  ierr;
6037 
6038   PetscFunctionBegin;
6039   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
6040   if ((field < 0) || (field >= numFields)) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Section field %d should be in [%d, %d)", field, 0, numFields);
6041 
6042   ierr = ISGetLocalSize(bcPoints, &numPoints);CHKERRQ(ierr);
6043   ierr = ISGetIndices(bcPoints, &points);CHKERRQ(ierr);
6044   if (!constraintIndices) {
6045     PetscInt *idx, i;
6046 
6047     ierr = PetscSectionGetMaxDof(section, &maxDof);CHKERRQ(ierr);
6048     ierr = PetscMalloc(maxDof * sizeof(PetscInt), &idx);CHKERRQ(ierr);
6049     for (i = 0; i < maxDof; ++i) idx[i] = i;
6050     for (p = 0; p < numPoints; ++p) {
6051       ierr = PetscSectionSetFieldConstraintIndices(section, points[p], field, idx);CHKERRQ(ierr);
6052     }
6053     ierr = PetscFree(idx);CHKERRQ(ierr);
6054   } else {
6055     ierr = ISGetLocalSize(constraintIndices, &numConstraints);CHKERRQ(ierr);
6056     ierr = ISGetIndices(constraintIndices, &indices);CHKERRQ(ierr);
6057     for (p = 0; p < numPoints; ++p) {
6058       PetscInt fcdof;
6059 
6060       ierr = PetscSectionGetFieldConstraintDof(section, points[p], field, &fcdof);CHKERRQ(ierr);
6061       if (fcdof != numConstraints) SETERRQ4(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Section point %d field %d has %d constraints, but yo ugave %d indices", p, field, fcdof, numConstraints);
6062       ierr = PetscSectionSetFieldConstraintIndices(section, points[p], field, indices);CHKERRQ(ierr);
6063     }
6064     ierr = ISRestoreIndices(constraintIndices, &indices);CHKERRQ(ierr);
6065   }
6066   ierr = ISRestoreIndices(bcPoints, &points);CHKERRQ(ierr);
6067   PetscFunctionReturn(0);
6068 }
6069 
6070 #undef __FUNCT__
6071 #define __FUNCT__ "DMPlexCreateSectionBCIndices"
6072 /* Set the constrained indices on each point and separate by fields */
6073 PetscErrorCode DMPlexCreateSectionBCIndices(DM dm, PetscSection section)
6074 {
6075   PetscInt      *indices;
6076   PetscInt       numFields, maxDof, f, pStart = 0, pEnd = 0, p;
6077   PetscErrorCode ierr;
6078 
6079   PetscFunctionBegin;
6080   ierr = PetscSectionGetMaxDof(section, &maxDof);CHKERRQ(ierr);
6081   ierr = PetscMalloc(maxDof * sizeof(PetscInt), &indices);CHKERRQ(ierr);
6082   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
6083   if (!numFields) SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "This function only works after users have set field constraint indices.");
6084   ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
6085   for (p = pStart; p < pEnd; ++p) {
6086     PetscInt cdof, d;
6087 
6088     ierr = PetscSectionGetConstraintDof(section, p, &cdof);CHKERRQ(ierr);
6089     if (cdof) {
6090       PetscInt numConst = 0, foff = 0;
6091 
6092       for (f = 0; f < numFields; ++f) {
6093         const PetscInt *fcind;
6094         PetscInt        fdof, fcdof;
6095 
6096         ierr = PetscSectionGetFieldDof(section, p, f, &fdof);CHKERRQ(ierr);
6097         ierr = PetscSectionGetFieldConstraintDof(section, p, f, &fcdof);CHKERRQ(ierr);
6098         if (fcdof) {ierr = PetscSectionGetFieldConstraintIndices(section, p, f, &fcind);CHKERRQ(ierr);}
6099         /* Change constraint numbering from field relative local dof number to absolute local dof number */
6100         for (d = 0; d < fcdof; ++d) indices[numConst+d] = fcind[d]+foff;
6101         foff     += fdof;
6102         numConst += fcdof;
6103       }
6104       if (cdof != numConst) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_LIB, "Total number of field constraints %D should be %D", numConst, cdof);
6105       ierr = PetscSectionSetConstraintIndices(section, p, indices);CHKERRQ(ierr);
6106     }
6107   }
6108   ierr = PetscFree(indices);CHKERRQ(ierr);
6109   PetscFunctionReturn(0);
6110 }
6111 
6112 #undef __FUNCT__
6113 #define __FUNCT__ "DMPlexCreateSection"
6114 /*@C
6115   DMPlexCreateSection - Create a PetscSection based upon the dof layout specification provided.
6116 
6117   Not Collective
6118 
6119   Input Parameters:
6120 + dm        - The DMPlex object
6121 . dim       - The spatial dimension of the problem
6122 . numFields - The number of fields in the problem
6123 . numComp   - An array of size numFields that holds the number of components for each field
6124 . numDof    - An array of size numFields*(dim+1) which holds the number of dof for each field on a mesh piece of dimension d
6125 . numBC     - The number of boundary conditions
6126 . bcField   - An array of size numBC giving the field number for each boundry condition
6127 - bcPoints  - An array of size numBC giving an IS holding the sieve points to which each boundary condition applies
6128 
6129   Output Parameter:
6130 . section - The PetscSection object
6131 
6132   Notes: numDof[f*(dim+1)+d] gives the number of dof for field f on sieve points of dimension d. For instance, numDof[1] is the
6133   nubmer of dof for field 0 on each edge.
6134 
6135   Level: developer
6136 
6137   Fortran Notes:
6138   A Fortran 90 version is available as DMPlexCreateSectionF90()
6139 
6140 .keywords: mesh, elements
6141 .seealso: DMPlexCreate(), PetscSectionCreate()
6142 @*/
6143 PetscErrorCode DMPlexCreateSection(DM dm, PetscInt dim, PetscInt numFields,const PetscInt numComp[],const PetscInt numDof[], PetscInt numBC,const PetscInt bcField[],const IS bcPoints[], PetscSection *section)
6144 {
6145   PetscErrorCode ierr;
6146 
6147   PetscFunctionBegin;
6148   ierr = DMPlexCreateSectionInitial(dm, dim, numFields, numComp, numDof, section);CHKERRQ(ierr);
6149   ierr = DMPlexCreateSectionBCDof(dm, numBC, bcField, bcPoints, PETSC_DETERMINE, *section);CHKERRQ(ierr);
6150   ierr = PetscSectionSetUp(*section);CHKERRQ(ierr);
6151   if (numBC) {ierr = DMPlexCreateSectionBCIndicesAll(dm, *section);CHKERRQ(ierr);}
6152   {
6153     PetscBool view = PETSC_FALSE;
6154 
6155     ierr = PetscOptionsHasName(((PetscObject) dm)->prefix, "-section_view", &view);CHKERRQ(ierr);
6156     if (view) {ierr = PetscSectionView(*section, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);}
6157   }
6158   PetscFunctionReturn(0);
6159 }
6160 
6161 #undef __FUNCT__
6162 #define __FUNCT__ "DMCreateCoordinateDM_Plex"
6163 PetscErrorCode DMCreateCoordinateDM_Plex(DM dm, DM *cdm)
6164 {
6165   PetscSection   section;
6166   PetscErrorCode ierr;
6167 
6168   PetscFunctionBegin;
6169   ierr = DMPlexClone(dm, cdm);CHKERRQ(ierr);
6170   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &section);CHKERRQ(ierr);
6171   ierr = DMSetDefaultSection(*cdm, section);CHKERRQ(ierr);
6172   ierr = PetscSectionDestroy(&section);CHKERRQ(ierr);
6173   PetscFunctionReturn(0);
6174 }
6175 
6176 #undef __FUNCT__
6177 #define __FUNCT__ "DMPlexGetCoordinateSection"
6178 /*@
6179   DMPlexGetCoordinateSection - Retrieve the layout of coordinate values over the mesh.
6180 
6181   Not Collective
6182 
6183   Input Parameter:
6184 . dm - The DMPlex object
6185 
6186   Output Parameter:
6187 . section - The PetscSection object
6188 
6189   Level: intermediate
6190 
6191 .keywords: mesh, coordinates
6192 .seealso: DMGetCoordinateDM(), DMPlexGetDefaultSection(), DMPlexSetDefaultSection()
6193 @*/
6194 PetscErrorCode DMPlexGetCoordinateSection(DM dm, PetscSection *section)
6195 {
6196   DM             cdm;
6197   PetscErrorCode ierr;
6198 
6199   PetscFunctionBegin;
6200   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
6201   PetscValidPointer(section, 2);
6202   ierr = DMGetCoordinateDM(dm, &cdm);CHKERRQ(ierr);
6203   ierr = DMGetDefaultSection(cdm, section);CHKERRQ(ierr);
6204   PetscFunctionReturn(0);
6205 }
6206 
6207 #undef __FUNCT__
6208 #define __FUNCT__ "DMPlexSetCoordinateSection"
6209 /*@
6210   DMPlexSetCoordinateSection - Set the layout of coordinate values over the mesh.
6211 
6212   Not Collective
6213 
6214   Input Parameters:
6215 + dm      - The DMPlex object
6216 - section - The PetscSection object
6217 
6218   Level: intermediate
6219 
6220 .keywords: mesh, coordinates
6221 .seealso: DMPlexGetCoordinateSection(), DMPlexGetDefaultSection(), DMPlexSetDefaultSection()
6222 @*/
6223 PetscErrorCode DMPlexSetCoordinateSection(DM dm, PetscSection section)
6224 {
6225   DM             cdm;
6226   PetscErrorCode ierr;
6227 
6228   PetscFunctionBegin;
6229   PetscValidHeaderSpecific(dm,DM_CLASSID,1);
6230   PetscValidHeaderSpecific(section,PETSC_SECTION_CLASSID,2);
6231   ierr = DMGetCoordinateDM(dm, &cdm);CHKERRQ(ierr);
6232   ierr = DMSetDefaultSection(cdm, section);CHKERRQ(ierr);
6233   PetscFunctionReturn(0);
6234 }
6235 
6236 #undef __FUNCT__
6237 #define __FUNCT__ "DMPlexGetConeSection"
6238 PetscErrorCode DMPlexGetConeSection(DM dm, PetscSection *section)
6239 {
6240   DM_Plex *mesh = (DM_Plex*) dm->data;
6241 
6242   PetscFunctionBegin;
6243   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
6244   if (section) *section = mesh->coneSection;
6245   PetscFunctionReturn(0);
6246 }
6247 
6248 #undef __FUNCT__
6249 #define __FUNCT__ "DMPlexGetCones"
6250 PetscErrorCode DMPlexGetCones(DM dm, PetscInt *cones[])
6251 {
6252   DM_Plex *mesh = (DM_Plex*) dm->data;
6253 
6254   PetscFunctionBegin;
6255   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
6256   if (cones) *cones = mesh->cones;
6257   PetscFunctionReturn(0);
6258 }
6259 
6260 #undef __FUNCT__
6261 #define __FUNCT__ "DMPlexGetConeOrientations"
6262 PetscErrorCode DMPlexGetConeOrientations(DM dm, PetscInt *coneOrientations[])
6263 {
6264   DM_Plex *mesh = (DM_Plex*) dm->data;
6265 
6266   PetscFunctionBegin;
6267   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
6268   if (coneOrientations) *coneOrientations = mesh->coneOrientations;
6269   PetscFunctionReturn(0);
6270 }
6271 
6272 /******************************** FEM Support **********************************/
6273 
6274 #undef __FUNCT__
6275 #define __FUNCT__ "DMPlexVecGetClosure"
6276 /*@C
6277   DMPlexVecGetClosure - Get an array of the values on the closure of 'point'
6278 
6279   Not collective
6280 
6281   Input Parameters:
6282 + dm - The DM
6283 . section - The section describing the layout in v, or NULL to use the default section
6284 . v - The local vector
6285 - point - The sieve point in the DM
6286 
6287   Output Parameters:
6288 + csize - The number of values in the closure, or NULL
6289 - values - The array of values, which is a borrowed array and should not be freed
6290 
6291   Fortran Notes:
6292   Since it returns an array, this routine is only available in Fortran 90, and you must
6293   include petsc.h90 in your code.
6294 
6295   The csize argument is not present in the Fortran 90 binding since it is internal to the array.
6296 
6297   Level: intermediate
6298 
6299 .seealso DMPlexVecRestoreClosure(), DMPlexVecSetClosure(), DMPlexMatSetClosure()
6300 @*/
6301 PetscErrorCode DMPlexVecGetClosure(DM dm, PetscSection section, Vec v, PetscInt point, PetscInt *csize, PetscScalar *values[])
6302 {
6303   PetscScalar   *array, *vArray;
6304   PetscInt      *points = NULL;
6305   PetscInt       offsets[32];
6306   PetscInt       numFields, size, numPoints, pStart, pEnd, p, q, f;
6307   PetscErrorCode ierr;
6308 
6309   PetscFunctionBegin;
6310   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
6311   PetscValidHeaderSpecific(v, VEC_CLASSID, 3);
6312   if (!section) {
6313     ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);
6314   }
6315   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
6316   if (numFields > 31) SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Number of fields %D limited to 31", numFields);
6317   ierr = PetscMemzero(offsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
6318   ierr = DMPlexGetTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
6319   /* Compress out points not in the section */
6320   ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
6321   for (p = 0, q = 0; p < numPoints*2; p += 2) {
6322     if ((points[p] >= pStart) && (points[p] < pEnd)) {
6323       points[q*2]   = points[p];
6324       points[q*2+1] = points[p+1];
6325       ++q;
6326     }
6327   }
6328   numPoints = q;
6329   for (p = 0, size = 0; p < numPoints*2; p += 2) {
6330     PetscInt dof, fdof;
6331 
6332     ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
6333     for (f = 0; f < numFields; ++f) {
6334       ierr          = PetscSectionGetFieldDof(section, points[p], f, &fdof);CHKERRQ(ierr);
6335       offsets[f+1] += fdof;
6336     }
6337     size += dof;
6338   }
6339   for (f = 1; f < numFields; ++f) offsets[f+1] += offsets[f];
6340   if (numFields && offsets[numFields] != size) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Invalid size for closure %d should be %d", offsets[numFields], size);
6341   ierr = DMGetWorkArray(dm, size, PETSC_SCALAR, &array);CHKERRQ(ierr);
6342   ierr = VecGetArray(v, &vArray);CHKERRQ(ierr);
6343   for (p = 0; p < numPoints*2; p += 2) {
6344     PetscInt     o = points[p+1];
6345     PetscInt     dof, off, d;
6346     PetscScalar *varr;
6347 
6348     ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
6349     ierr = PetscSectionGetOffset(section, points[p], &off);CHKERRQ(ierr);
6350     varr = &vArray[off];
6351     if (numFields) {
6352       PetscInt fdof, foff, fcomp, f, c;
6353 
6354       for (f = 0, foff = 0; f < numFields; ++f) {
6355         ierr = PetscSectionGetFieldDof(section, points[p], f, &fdof);CHKERRQ(ierr);
6356         if (o >= 0) {
6357           for (d = 0; d < fdof; ++d, ++offsets[f]) {
6358             array[offsets[f]] = varr[foff+d];
6359           }
6360         } else {
6361           ierr = PetscSectionGetFieldComponents(section, f, &fcomp);CHKERRQ(ierr);
6362           for (d = fdof/fcomp-1; d >= 0; --d) {
6363             for (c = 0; c < fcomp; ++c, ++offsets[f]) {
6364               array[offsets[f]] = varr[foff+d*fcomp+c];
6365             }
6366           }
6367         }
6368         foff += fdof;
6369       }
6370     } else {
6371       if (o >= 0) {
6372         for (d = 0; d < dof; ++d, ++offsets[0]) {
6373           array[offsets[0]] = varr[d];
6374         }
6375       } else {
6376         for (d = dof-1; d >= 0; --d, ++offsets[0]) {
6377           array[offsets[0]] = varr[d];
6378         }
6379       }
6380     }
6381   }
6382   ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
6383   ierr = VecRestoreArray(v, &vArray);CHKERRQ(ierr);
6384   if (csize) *csize = size;
6385   *values = array;
6386   PetscFunctionReturn(0);
6387 }
6388 
6389 #undef __FUNCT__
6390 #define __FUNCT__ "DMPlexVecRestoreClosure"
6391 /*@C
6392   DMPlexVecRestoreClosure - Restore the array of the values on the closure of 'point'
6393 
6394   Not collective
6395 
6396   Input Parameters:
6397 + dm - The DM
6398 . section - The section describing the layout in v, or NULL to use the default section
6399 . v - The local vector
6400 . point - The sieve point in the DM
6401 . csize - The number of values in the closure, or NULL
6402 - values - The array of values, which is a borrowed array and should not be freed
6403 
6404   Fortran Notes:
6405   Since it returns an array, this routine is only available in Fortran 90, and you must
6406   include petsc.h90 in your code.
6407 
6408   The csize argument is not present in the Fortran 90 binding since it is internal to the array.
6409 
6410   Level: intermediate
6411 
6412 .seealso DMPlexVecGetClosure(), DMPlexVecSetClosure(), DMPlexMatSetClosure()
6413 @*/
6414 PetscErrorCode DMPlexVecRestoreClosure(DM dm, PetscSection section, Vec v, PetscInt point, PetscInt *csize, PetscScalar *values[])
6415 {
6416   PetscInt       size = 0;
6417   PetscErrorCode ierr;
6418 
6419   PetscFunctionBegin;
6420   /* Should work without recalculating size */
6421   ierr = DMRestoreWorkArray(dm, size, PETSC_SCALAR, (void*) values);CHKERRQ(ierr);
6422   PetscFunctionReturn(0);
6423 }
6424 
6425 PETSC_STATIC_INLINE void add   (PetscScalar *x, PetscScalar y) {*x += y;}
6426 PETSC_STATIC_INLINE void insert(PetscScalar *x, PetscScalar y) {*x  = y;}
6427 
6428 #undef __FUNCT__
6429 #define __FUNCT__ "updatePoint_private"
6430 PetscErrorCode updatePoint_private(PetscSection section, PetscInt point, PetscInt dof, void (*fuse)(PetscScalar*, PetscScalar), PetscBool setBC, PetscInt orientation, const PetscScalar values[], PetscScalar array[])
6431 {
6432   PetscInt        cdof;   /* The number of constraints on this point */
6433   const PetscInt *cdofs; /* The indices of the constrained dofs on this point */
6434   PetscScalar    *a;
6435   PetscInt        off, cind = 0, k;
6436   PetscErrorCode  ierr;
6437 
6438   PetscFunctionBegin;
6439   ierr = PetscSectionGetConstraintDof(section, point, &cdof);CHKERRQ(ierr);
6440   ierr = PetscSectionGetOffset(section, point, &off);CHKERRQ(ierr);
6441   a    = &array[off];
6442   if (!cdof || setBC) {
6443     if (orientation >= 0) {
6444       for (k = 0; k < dof; ++k) {
6445         fuse(&a[k], values[k]);
6446       }
6447     } else {
6448       for (k = 0; k < dof; ++k) {
6449         fuse(&a[k], values[dof-k-1]);
6450       }
6451     }
6452   } else {
6453     ierr = PetscSectionGetConstraintIndices(section, point, &cdofs);CHKERRQ(ierr);
6454     if (orientation >= 0) {
6455       for (k = 0; k < dof; ++k) {
6456         if ((cind < cdof) && (k == cdofs[cind])) {++cind; continue;}
6457         fuse(&a[k], values[k]);
6458       }
6459     } else {
6460       for (k = 0; k < dof; ++k) {
6461         if ((cind < cdof) && (k == cdofs[cind])) {++cind; continue;}
6462         fuse(&a[k], values[dof-k-1]);
6463       }
6464     }
6465   }
6466   PetscFunctionReturn(0);
6467 }
6468 
6469 #undef __FUNCT__
6470 #define __FUNCT__ "updatePointFields_private"
6471 PetscErrorCode updatePointFields_private(PetscSection section, PetscInt point, PetscInt foffs[], void (*fuse)(PetscScalar*, PetscScalar), PetscBool setBC, PetscInt orientation, const PetscScalar values[], PetscScalar array[])
6472 {
6473   PetscScalar   *a;
6474   PetscInt       numFields, off, foff, f;
6475   PetscErrorCode ierr;
6476 
6477   PetscFunctionBegin;
6478   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
6479   ierr = PetscSectionGetOffset(section, point, &off);CHKERRQ(ierr);
6480   a    = &array[off];
6481   for (f = 0, foff = 0; f < numFields; ++f) {
6482     PetscInt        fdof, fcomp, fcdof;
6483     const PetscInt *fcdofs; /* The indices of the constrained dofs for field f on this point */
6484     PetscInt        cind = 0, k, c;
6485 
6486     ierr = PetscSectionGetFieldComponents(section, f, &fcomp);CHKERRQ(ierr);
6487     ierr = PetscSectionGetFieldDof(section, point, f, &fdof);CHKERRQ(ierr);
6488     ierr = PetscSectionGetFieldConstraintDof(section, point, f, &fcdof);CHKERRQ(ierr);
6489     if (!fcdof || setBC) {
6490       if (orientation >= 0) {
6491         for (k = 0; k < fdof; ++k) {
6492           fuse(&a[foff+k], values[foffs[f]+k]);
6493         }
6494       } else {
6495         for (k = fdof/fcomp-1; k >= 0; --k) {
6496           for (c = 0; c < fcomp; ++c) {
6497             fuse(&a[foff+(fdof/fcomp-1-k)*fcomp+c], values[foffs[f]+k*fcomp+c]);
6498           }
6499         }
6500       }
6501     } else {
6502       ierr = PetscSectionGetFieldConstraintIndices(section, point, f, &fcdofs);CHKERRQ(ierr);
6503       if (orientation >= 0) {
6504         for (k = 0; k < fdof; ++k) {
6505           if ((cind < fcdof) && (k == fcdofs[cind])) {++cind; continue;}
6506           fuse(&a[foff+k], values[foffs[f]+k]);
6507         }
6508       } else {
6509         for (k = fdof/fcomp-1; k >= 0; --k) {
6510           for (c = 0; c < fcomp; ++c) {
6511             if ((cind < fcdof) && (k*fcomp+c == fcdofs[cind])) {++cind; continue;}
6512             fuse(&a[foff+(fdof/fcomp-1-k)*fcomp+c], values[foffs[f]+k*fcomp+c]);
6513           }
6514         }
6515       }
6516     }
6517     foff     += fdof;
6518     foffs[f] += fdof;
6519   }
6520   PetscFunctionReturn(0);
6521 }
6522 
6523 #undef __FUNCT__
6524 #define __FUNCT__ "DMPlexVecSetClosure"
6525 /*@C
6526   DMPlexVecSetClosure - Set an array of the values on the closure of 'point'
6527 
6528   Not collective
6529 
6530   Input Parameters:
6531 + dm - The DM
6532 . section - The section describing the layout in v, or NULL to use the default sectionw
6533 . v - The local vector
6534 . point - The sieve point in the DM
6535 . values - The array of values, which is a borrowed array and should not be freed
6536 - mode - The insert mode, where INSERT_ALL_VALUES and ADD_ALL_VALUES also overwrite boundary conditions
6537 
6538   Fortran Notes:
6539   Since it returns an array, this routine is only available in Fortran 90, and you must
6540   include petsc.h90 in your code.
6541 
6542   Level: intermediate
6543 
6544 .seealso DMPlexVecGetClosure(), DMPlexMatSetClosure()
6545 @*/
6546 PetscErrorCode DMPlexVecSetClosure(DM dm, PetscSection section, Vec v, PetscInt point, const PetscScalar values[], InsertMode mode)
6547 {
6548   PetscScalar   *array;
6549   PetscInt      *points = NULL;
6550   PetscInt       offsets[32];
6551   PetscInt       numFields, numPoints, off, dof, pStart, pEnd, p, q, f;
6552   PetscErrorCode ierr;
6553 
6554   PetscFunctionBegin;
6555   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
6556   PetscValidHeaderSpecific(v, VEC_CLASSID, 3);
6557   if (!section) {
6558     ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);
6559   }
6560   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
6561   if (numFields > 31) SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Number of fields %D limited to 31", numFields);
6562   ierr = PetscMemzero(offsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
6563   ierr = DMPlexGetTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
6564   /* Compress out points not in the section */
6565   ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
6566   for (p = 0, q = 0; p < numPoints*2; p += 2) {
6567     if ((points[p] >= pStart) && (points[p] < pEnd)) {
6568       points[q*2]   = points[p];
6569       points[q*2+1] = points[p+1];
6570       ++q;
6571     }
6572   }
6573   numPoints = q;
6574   for (p = 0; p < numPoints*2; p += 2) {
6575     PetscInt fdof;
6576 
6577     for (f = 0; f < numFields; ++f) {
6578       ierr          = PetscSectionGetFieldDof(section, points[p], f, &fdof);CHKERRQ(ierr);
6579       offsets[f+1] += fdof;
6580     }
6581   }
6582   for (f = 1; f < numFields; ++f) offsets[f+1] += offsets[f];
6583   ierr = VecGetArray(v, &array);CHKERRQ(ierr);
6584   if (numFields) {
6585     switch (mode) {
6586     case INSERT_VALUES:
6587       for (p = 0; p < numPoints*2; p += 2) {
6588         PetscInt o = points[p+1];
6589         updatePointFields_private(section, points[p], offsets, insert, PETSC_FALSE, o, values, array);
6590       } break;
6591     case INSERT_ALL_VALUES:
6592       for (p = 0; p < numPoints*2; p += 2) {
6593         PetscInt o = points[p+1];
6594         updatePointFields_private(section, points[p], offsets, insert, PETSC_TRUE,  o, values, array);
6595       } break;
6596     case ADD_VALUES:
6597       for (p = 0; p < numPoints*2; p += 2) {
6598         PetscInt o = points[p+1];
6599         updatePointFields_private(section, points[p], offsets, add,    PETSC_FALSE, o, values, array);
6600       } break;
6601     case ADD_ALL_VALUES:
6602       for (p = 0; p < numPoints*2; p += 2) {
6603         PetscInt o = points[p+1];
6604         updatePointFields_private(section, points[p], offsets, add,    PETSC_TRUE,  o, values, array);
6605       } break;
6606     default:
6607       SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Invalid insert mode %D", mode);
6608     }
6609   } else {
6610     switch (mode) {
6611     case INSERT_VALUES:
6612       for (p = 0, off = 0; p < numPoints*2; p += 2, off += dof) {
6613         PetscInt o = points[p+1];
6614         ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
6615         updatePoint_private(section, points[p], dof, insert, PETSC_FALSE, o, &values[off], array);
6616       } break;
6617     case INSERT_ALL_VALUES:
6618       for (p = 0, off = 0; p < numPoints*2; p += 2, off += dof) {
6619         PetscInt o = points[p+1];
6620         ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
6621         updatePoint_private(section, points[p], dof, insert, PETSC_TRUE,  o, &values[off], array);
6622       } break;
6623     case ADD_VALUES:
6624       for (p = 0, off = 0; p < numPoints*2; p += 2, off += dof) {
6625         PetscInt o = points[p+1];
6626         ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
6627         updatePoint_private(section, points[p], dof, add,    PETSC_FALSE, o, &values[off], array);
6628       } break;
6629     case ADD_ALL_VALUES:
6630       for (p = 0, off = 0; p < numPoints*2; p += 2, off += dof) {
6631         PetscInt o = points[p+1];
6632         ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
6633         updatePoint_private(section, points[p], dof, add,    PETSC_TRUE,  o, &values[off], array);
6634       } break;
6635     default:
6636       SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Invalid insert mode %D", mode);
6637     }
6638   }
6639   ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
6640   ierr = VecRestoreArray(v, &array);CHKERRQ(ierr);
6641   PetscFunctionReturn(0);
6642 }
6643 
6644 #undef __FUNCT__
6645 #define __FUNCT__ "DMPlexPrintMatSetValues"
6646 PetscErrorCode DMPlexPrintMatSetValues(PetscViewer viewer, Mat A, PetscInt point, PetscInt numIndices, const PetscInt indices[], const PetscScalar values[])
6647 {
6648   PetscMPIInt    rank;
6649   PetscInt       i, j;
6650   PetscErrorCode ierr;
6651 
6652   PetscFunctionBegin;
6653   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &rank);CHKERRQ(ierr);
6654   ierr = PetscViewerASCIIPrintf(viewer, "[%D]mat for sieve point %D\n", rank, point);CHKERRQ(ierr);
6655   for (i = 0; i < numIndices; i++) {
6656     ierr = PetscViewerASCIIPrintf(viewer, "[%D]mat indices[%D] = %D\n", rank, i, indices[i]);CHKERRQ(ierr);
6657   }
6658   for (i = 0; i < numIndices; i++) {
6659     ierr = PetscViewerASCIIPrintf(viewer, "[%D]", rank);CHKERRQ(ierr);
6660     for (j = 0; j < numIndices; j++) {
6661 #if defined(PETSC_USE_COMPLEX)
6662       ierr = PetscViewerASCIIPrintf(viewer, " (%G,%G)", PetscRealPart(values[i*numIndices+j]), PetscImaginaryPart(values[i*numIndices+j]));CHKERRQ(ierr);
6663 #else
6664       ierr = PetscViewerASCIIPrintf(viewer, " %G", values[i*numIndices+j]);CHKERRQ(ierr);
6665 #endif
6666     }
6667     ierr = PetscViewerASCIIPrintf(viewer, "\n");CHKERRQ(ierr);
6668   }
6669   PetscFunctionReturn(0);
6670 }
6671 
6672 #undef __FUNCT__
6673 #define __FUNCT__ "indicesPoint_private"
6674 /* . off - The global offset of this point */
6675 PetscErrorCode indicesPoint_private(PetscSection section, PetscInt point, PetscInt off, PetscInt *loff, PetscBool setBC, PetscInt orientation, PetscInt indices[])
6676 {
6677   PetscInt        dof;    /* The number of unknowns on this point */
6678   PetscInt        cdof;   /* The number of constraints on this point */
6679   const PetscInt *cdofs; /* The indices of the constrained dofs on this point */
6680   PetscInt        cind = 0, k;
6681   PetscErrorCode  ierr;
6682 
6683   PetscFunctionBegin;
6684   ierr = PetscSectionGetDof(section, point, &dof);CHKERRQ(ierr);
6685   ierr = PetscSectionGetConstraintDof(section, point, &cdof);CHKERRQ(ierr);
6686   if (!cdof || setBC) {
6687     if (orientation >= 0) {
6688       for (k = 0; k < dof; ++k) indices[*loff+k] = off+k;
6689     } else {
6690       for (k = 0; k < dof; ++k) indices[*loff+dof-k-1] = off+k;
6691     }
6692   } else {
6693     ierr = PetscSectionGetConstraintIndices(section, point, &cdofs);CHKERRQ(ierr);
6694     if (orientation >= 0) {
6695       for (k = 0; k < dof; ++k) {
6696         if ((cind < cdof) && (k == cdofs[cind])) {
6697           /* Insert check for returning constrained indices */
6698           indices[*loff+k] = -(off+k+1);
6699           ++cind;
6700         } else {
6701           indices[*loff+k] = off+k-cind;
6702         }
6703       }
6704     } else {
6705       for (k = 0; k < dof; ++k) {
6706         if ((cind < cdof) && (k == cdofs[cind])) {
6707           /* Insert check for returning constrained indices */
6708           indices[*loff+dof-k-1] = -(off+k+1);
6709           ++cind;
6710         } else {
6711           indices[*loff+dof-k-1] = off+k-cind;
6712         }
6713       }
6714     }
6715   }
6716   *loff += dof;
6717   PetscFunctionReturn(0);
6718 }
6719 
6720 #undef __FUNCT__
6721 #define __FUNCT__ "indicesPointFields_private"
6722 /* . off - The global offset of this point */
6723 PetscErrorCode indicesPointFields_private(PetscSection section, PetscInt point, PetscInt off, PetscInt foffs[], PetscBool setBC, PetscInt orientation, PetscInt indices[])
6724 {
6725   PetscInt       numFields, foff, f;
6726   PetscErrorCode ierr;
6727 
6728   PetscFunctionBegin;
6729   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
6730   for (f = 0, foff = 0; f < numFields; ++f) {
6731     PetscInt        fdof, fcomp, cfdof;
6732     const PetscInt *fcdofs; /* The indices of the constrained dofs for field f on this point */
6733     PetscInt        cind = 0, k, c;
6734 
6735     ierr = PetscSectionGetFieldComponents(section, f, &fcomp);CHKERRQ(ierr);
6736     ierr = PetscSectionGetFieldDof(section, point, f, &fdof);CHKERRQ(ierr);
6737     ierr = PetscSectionGetFieldConstraintDof(section, point, f, &cfdof);CHKERRQ(ierr);
6738     if (!cfdof || setBC) {
6739       if (orientation >= 0) {
6740         for (k = 0; k < fdof; ++k) indices[foffs[f]+k] = off+foff+k;
6741       } else {
6742         for (k = fdof/fcomp-1; k >= 0; --k) {
6743           for (c = 0; c < fcomp; ++c) {
6744             indices[foffs[f]+k*fcomp+c] = off+foff+(fdof/fcomp-1-k)*fcomp+c;
6745           }
6746         }
6747       }
6748     } else {
6749       ierr = PetscSectionGetFieldConstraintIndices(section, point, f, &fcdofs);CHKERRQ(ierr);
6750       if (orientation >= 0) {
6751         for (k = 0; k < fdof; ++k) {
6752           if ((cind < cfdof) && (k == fcdofs[cind])) {
6753             indices[foffs[f]+k] = -(off+foff+k+1);
6754             ++cind;
6755           } else {
6756             indices[foffs[f]+k] = off+foff+k-cind;
6757           }
6758         }
6759       } else {
6760         for (k = fdof/fcomp-1; k >= 0; --k) {
6761           for (c = 0; c < fcomp; ++c) {
6762             if ((cind < cfdof) && ((fdof/fcomp-1-k)*fcomp+c == fcdofs[cind])) {
6763               indices[foffs[f]+k*fcomp+c] = -(off+foff+(fdof/fcomp-1-k)*fcomp+c+1);
6764               ++cind;
6765             } else {
6766               indices[foffs[f]+k*fcomp+c] = off+foff+(fdof/fcomp-1-k)*fcomp+c-cind;
6767             }
6768           }
6769         }
6770       }
6771     }
6772     foff     += fdof - cfdof;
6773     foffs[f] += fdof;
6774   }
6775   PetscFunctionReturn(0);
6776 }
6777 
6778 #undef __FUNCT__
6779 #define __FUNCT__ "DMPlexMatSetClosure"
6780 PetscErrorCode DMPlexMatSetClosure(DM dm, PetscSection section, PetscSection globalSection, Mat A, PetscInt point, const PetscScalar values[], InsertMode mode)
6781 {
6782   DM_Plex       *mesh   = (DM_Plex*) dm->data;
6783   PetscInt      *points = NULL;
6784   PetscInt      *indices;
6785   PetscInt       offsets[32];
6786   PetscInt       numFields, numPoints, numIndices, dof, off, globalOff, pStart, pEnd, p, q, f;
6787   PetscBool      useDefault       =       !section ? PETSC_TRUE : PETSC_FALSE;
6788   PetscBool      useGlobalDefault = !globalSection ? PETSC_TRUE : PETSC_FALSE;
6789   PetscErrorCode ierr;
6790 
6791   PetscFunctionBegin;
6792   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
6793   PetscValidHeaderSpecific(A, MAT_CLASSID, 3);
6794   if (useDefault) {
6795     ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);
6796   }
6797   if (useGlobalDefault) {
6798     if (useDefault) {
6799       ierr = DMGetDefaultGlobalSection(dm, &globalSection);CHKERRQ(ierr);
6800     } else {
6801       ierr = PetscSectionCreateGlobalSection(section, dm->sf, PETSC_FALSE, &globalSection);CHKERRQ(ierr);
6802     }
6803   }
6804   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
6805   if (numFields > 31) SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Number of fields %D limited to 31", numFields);
6806   ierr = PetscMemzero(offsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
6807   ierr = DMPlexGetTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
6808   /* Compress out points not in the section */
6809   ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
6810   for (p = 0, q = 0; p < numPoints*2; p += 2) {
6811     if ((points[p] >= pStart) && (points[p] < pEnd)) {
6812       points[q*2]   = points[p];
6813       points[q*2+1] = points[p+1];
6814       ++q;
6815     }
6816   }
6817   numPoints = q;
6818   for (p = 0, numIndices = 0; p < numPoints*2; p += 2) {
6819     PetscInt fdof;
6820 
6821     ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
6822     for (f = 0; f < numFields; ++f) {
6823       ierr          = PetscSectionGetFieldDof(section, points[p], f, &fdof);CHKERRQ(ierr);
6824       offsets[f+1] += fdof;
6825     }
6826     numIndices += dof;
6827   }
6828   for (f = 1; f < numFields; ++f) offsets[f+1] += offsets[f];
6829 
6830   if (numFields && offsets[numFields] != numIndices) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Invalid size for closure %d should be %d", offsets[numFields], numIndices);
6831   ierr = DMGetWorkArray(dm, numIndices, PETSC_INT, &indices);CHKERRQ(ierr);
6832   if (numFields) {
6833     for (p = 0; p < numPoints*2; p += 2) {
6834       PetscInt o = points[p+1];
6835       ierr = PetscSectionGetOffset(globalSection, points[p], &globalOff);CHKERRQ(ierr);
6836       indicesPointFields_private(section, points[p], globalOff < 0 ? -(globalOff+1) : globalOff, offsets, PETSC_FALSE, o, indices);
6837     }
6838   } else {
6839     for (p = 0, off = 0; p < numPoints*2; p += 2) {
6840       PetscInt o = points[p+1];
6841       ierr = PetscSectionGetOffset(globalSection, points[p], &globalOff);CHKERRQ(ierr);
6842       indicesPoint_private(section, points[p], globalOff < 0 ? -(globalOff+1) : globalOff, &off, PETSC_FALSE, o, indices);
6843     }
6844   }
6845   if (useGlobalDefault && !useDefault) {
6846     ierr = PetscSectionDestroy(&globalSection);CHKERRQ(ierr);
6847   }
6848   if (mesh->printSetValues) {ierr = DMPlexPrintMatSetValues(PETSC_VIEWER_STDOUT_SELF, A, point, numIndices, indices, values);CHKERRQ(ierr);}
6849   ierr = MatSetValues(A, numIndices, indices, numIndices, indices, values, mode);
6850   if (ierr) {
6851     PetscMPIInt    rank;
6852     PetscErrorCode ierr2;
6853 
6854     ierr2 = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &rank);CHKERRQ(ierr2);
6855     ierr2 = (*PetscErrorPrintf)("[%D]ERROR in DMPlexMatSetClosure\n", rank);CHKERRQ(ierr2);
6856     ierr2 = DMPlexPrintMatSetValues(PETSC_VIEWER_STDERR_SELF, A, point, numIndices, indices, values);CHKERRQ(ierr2);
6857     ierr2 = DMRestoreWorkArray(dm, numIndices, PETSC_INT, &indices);CHKERRQ(ierr2);
6858     CHKERRQ(ierr);
6859   }
6860   ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
6861   ierr = DMRestoreWorkArray(dm, numIndices, PETSC_INT, &indices);CHKERRQ(ierr);
6862   PetscFunctionReturn(0);
6863 }
6864 
6865 #undef __FUNCT__
6866 #define __FUNCT__ "DMPlexGetHybridBounds"
6867 PetscErrorCode DMPlexGetHybridBounds(DM dm, PetscInt *cMax, PetscInt *fMax, PetscInt *eMax, PetscInt *vMax)
6868 {
6869   DM_Plex       *mesh = (DM_Plex*) dm->data;
6870   PetscInt       dim;
6871   PetscErrorCode ierr;
6872 
6873   PetscFunctionBegin;
6874   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
6875   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
6876   if (cMax) *cMax = mesh->hybridPointMax[dim];
6877   if (fMax) *fMax = mesh->hybridPointMax[dim-1];
6878   if (eMax) *eMax = mesh->hybridPointMax[1];
6879   if (vMax) *vMax = mesh->hybridPointMax[0];
6880   PetscFunctionReturn(0);
6881 }
6882 
6883 #undef __FUNCT__
6884 #define __FUNCT__ "DMPlexSetHybridBounds"
6885 PetscErrorCode DMPlexSetHybridBounds(DM dm, PetscInt cMax, PetscInt fMax, PetscInt eMax, PetscInt vMax)
6886 {
6887   DM_Plex       *mesh = (DM_Plex*) dm->data;
6888   PetscInt       dim;
6889   PetscErrorCode ierr;
6890 
6891   PetscFunctionBegin;
6892   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
6893   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
6894   if (cMax >= 0) mesh->hybridPointMax[dim]   = cMax;
6895   if (fMax >= 0) mesh->hybridPointMax[dim-1] = fMax;
6896   if (eMax >= 0) mesh->hybridPointMax[1]     = eMax;
6897   if (vMax >= 0) mesh->hybridPointMax[0]     = vMax;
6898   PetscFunctionReturn(0);
6899 }
6900 
6901 #undef __FUNCT__
6902 #define __FUNCT__ "DMPlexGetVTKCellHeight"
6903 PetscErrorCode DMPlexGetVTKCellHeight(DM dm, PetscInt *cellHeight)
6904 {
6905   DM_Plex *mesh = (DM_Plex*) dm->data;
6906 
6907   PetscFunctionBegin;
6908   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
6909   PetscValidPointer(cellHeight, 2);
6910   *cellHeight = mesh->vtkCellHeight;
6911   PetscFunctionReturn(0);
6912 }
6913 
6914 #undef __FUNCT__
6915 #define __FUNCT__ "DMPlexSetVTKCellHeight"
6916 PetscErrorCode DMPlexSetVTKCellHeight(DM dm, PetscInt cellHeight)
6917 {
6918   DM_Plex *mesh = (DM_Plex*) dm->data;
6919 
6920   PetscFunctionBegin;
6921   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
6922   mesh->vtkCellHeight = cellHeight;
6923   PetscFunctionReturn(0);
6924 }
6925 
6926 #undef __FUNCT__
6927 #define __FUNCT__ "DMPlexCreateNumbering_Private"
6928 /* We can easily have a form that takes an IS instead */
6929 PetscErrorCode DMPlexCreateNumbering_Private(DM dm, PetscInt pStart, PetscInt pEnd, PetscSF sf, IS *numbering)
6930 {
6931   PetscSection   section, globalSection;
6932   PetscInt      *numbers, p;
6933   PetscErrorCode ierr;
6934 
6935   PetscFunctionBegin;
6936   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &section);CHKERRQ(ierr);
6937   ierr = PetscSectionSetChart(section, pStart, pEnd);CHKERRQ(ierr);
6938   for (p = pStart; p < pEnd; ++p) {
6939     ierr = PetscSectionSetDof(section, p, 1);CHKERRQ(ierr);
6940   }
6941   ierr = PetscSectionSetUp(section);CHKERRQ(ierr);
6942   ierr = PetscSectionCreateGlobalSection(section, sf, PETSC_FALSE, &globalSection);CHKERRQ(ierr);
6943   ierr = PetscMalloc((pEnd - pStart) * sizeof(PetscInt), &numbers);CHKERRQ(ierr);
6944   for (p = pStart; p < pEnd; ++p) {
6945     ierr = PetscSectionGetOffset(globalSection, p, &numbers[p-pStart]);CHKERRQ(ierr);
6946   }
6947   ierr = ISCreateGeneral(PetscObjectComm((PetscObject)dm), pEnd - pStart, numbers, PETSC_OWN_POINTER, numbering);CHKERRQ(ierr);
6948   ierr = PetscSectionDestroy(&section);CHKERRQ(ierr);
6949   ierr = PetscSectionDestroy(&globalSection);CHKERRQ(ierr);
6950   PetscFunctionReturn(0);
6951 }
6952 
6953 #undef __FUNCT__
6954 #define __FUNCT__ "DMPlexGetCellNumbering"
6955 PetscErrorCode DMPlexGetCellNumbering(DM dm, IS *globalCellNumbers)
6956 {
6957   DM_Plex       *mesh = (DM_Plex*) dm->data;
6958   PetscInt       cellHeight, cStart, cEnd, cMax;
6959   PetscErrorCode ierr;
6960 
6961   PetscFunctionBegin;
6962   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
6963   if (!mesh->globalCellNumbers) {
6964     ierr = DMPlexGetVTKCellHeight(dm, &cellHeight);CHKERRQ(ierr);
6965     ierr = DMPlexGetHeightStratum(dm, cellHeight, &cStart, &cEnd);CHKERRQ(ierr);
6966     ierr = DMPlexGetHybridBounds(dm, &cMax, NULL, NULL, NULL);CHKERRQ(ierr);
6967     if (cMax >= 0) cEnd = PetscMin(cEnd, cMax);
6968     ierr = DMPlexCreateNumbering_Private(dm, cStart, cEnd, dm->sf, &mesh->globalCellNumbers);CHKERRQ(ierr);
6969   }
6970   *globalCellNumbers = mesh->globalCellNumbers;
6971   PetscFunctionReturn(0);
6972 }
6973 
6974 #undef __FUNCT__
6975 #define __FUNCT__ "DMPlexGetVertexNumbering"
6976 PetscErrorCode DMPlexGetVertexNumbering(DM dm, IS *globalVertexNumbers)
6977 {
6978   DM_Plex       *mesh = (DM_Plex*) dm->data;
6979   PetscInt       vStart, vEnd, vMax;
6980   PetscErrorCode ierr;
6981 
6982   PetscFunctionBegin;
6983   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
6984   if (!mesh->globalVertexNumbers) {
6985     ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
6986     ierr = DMPlexGetHybridBounds(dm, NULL, NULL, NULL, &vMax);CHKERRQ(ierr);
6987     if (vMax >= 0) vEnd = PetscMin(vEnd, vMax);
6988     ierr = DMPlexCreateNumbering_Private(dm, vStart, vEnd, dm->sf, &mesh->globalVertexNumbers);CHKERRQ(ierr);
6989   }
6990   *globalVertexNumbers = mesh->globalVertexNumbers;
6991   PetscFunctionReturn(0);
6992 }
6993 
6994 
6995 #undef __FUNCT__
6996 #define __FUNCT__ "PetscSectionCreateGlobalSectionLabel"
6997 /*@C
6998   PetscSectionCreateGlobalSectionLabel - Create a section describing the global field layout using
6999   the local section and an SF describing the section point overlap.
7000 
7001   Input Parameters:
7002   + s - The PetscSection for the local field layout
7003   . sf - The SF describing parallel layout of the section points
7004   . includeConstraints - By default this is PETSC_FALSE, meaning that the global field vector will not possess constrained dofs
7005   . label - The label specifying the points
7006   - labelValue - The label stratum specifying the points
7007 
7008   Output Parameter:
7009   . gsection - The PetscSection for the global field layout
7010 
7011   Note: This gives negative sizes and offsets to points not owned by this process
7012 
7013   Level: developer
7014 
7015 .seealso: PetscSectionCreate()
7016 @*/
7017 PetscErrorCode PetscSectionCreateGlobalSectionLabel(PetscSection s, PetscSF sf, PetscBool includeConstraints, DMLabel label, PetscInt labelValue, PetscSection *gsection)
7018 {
7019   PetscInt      *neg;
7020   PetscInt       pStart, pEnd, p, dof, cdof, off, globalOff = 0, nroots;
7021   PetscErrorCode ierr;
7022 
7023   PetscFunctionBegin;
7024   ierr = PetscSectionCreate(s->atlasLayout.comm, gsection);CHKERRQ(ierr);
7025   ierr = PetscSectionGetChart(s, &pStart, &pEnd);CHKERRQ(ierr);
7026   ierr = PetscSectionSetChart(*gsection, pStart, pEnd);CHKERRQ(ierr);
7027   ierr = PetscMalloc((pEnd - pStart) * sizeof(PetscInt), &neg);CHKERRQ(ierr);
7028   /* Mark ghost points with negative dof */
7029   for (p = pStart; p < pEnd; ++p) {
7030     PetscInt value;
7031 
7032     ierr = DMLabelGetValue(label, p, &value);CHKERRQ(ierr);
7033     if (value != labelValue) continue;
7034     ierr = PetscSectionGetDof(s, p, &dof);CHKERRQ(ierr);
7035     ierr = PetscSectionSetDof(*gsection, p, dof);CHKERRQ(ierr);
7036     ierr = PetscSectionGetConstraintDof(s, p, &cdof);CHKERRQ(ierr);
7037     if (!includeConstraints && cdof > 0) {ierr = PetscSectionSetConstraintDof(*gsection, p, cdof);CHKERRQ(ierr);}
7038     neg[p-pStart] = -(dof+1);
7039   }
7040   ierr = PetscSectionSetUpBC(*gsection);CHKERRQ(ierr);
7041   ierr = PetscSFGetGraph(sf, &nroots, NULL, NULL, NULL);CHKERRQ(ierr);
7042   if (nroots >= 0) {
7043     if (nroots > pEnd - pStart) {
7044       PetscInt *tmpDof;
7045       /* Help Jed: HAVE TO MAKE A BUFFER HERE THE SIZE OF THE COMPLETE SPACE AND THEN COPY INTO THE atlasDof FOR THIS SECTION */
7046       ierr = PetscMalloc(nroots * sizeof(PetscInt), &tmpDof);CHKERRQ(ierr);
7047       ierr = PetscSFBcastBegin(sf, MPIU_INT, &neg[-pStart], tmpDof);CHKERRQ(ierr);
7048       ierr = PetscSFBcastEnd(sf, MPIU_INT, &neg[-pStart], tmpDof);CHKERRQ(ierr);
7049       for (p = pStart; p < pEnd; ++p) {
7050         if (tmpDof[p] < 0) (*gsection)->atlasDof[p-pStart] = tmpDof[p];
7051       }
7052       ierr = PetscFree(tmpDof);CHKERRQ(ierr);
7053     } else {
7054       ierr = PetscSFBcastBegin(sf, MPIU_INT, &neg[-pStart], &(*gsection)->atlasDof[-pStart]);CHKERRQ(ierr);
7055       ierr = PetscSFBcastEnd(sf, MPIU_INT, &neg[-pStart], &(*gsection)->atlasDof[-pStart]);CHKERRQ(ierr);
7056     }
7057   }
7058   /* Calculate new sizes, get proccess offset, and calculate point offsets */
7059   for (p = 0, off = 0; p < pEnd-pStart; ++p) {
7060     cdof = (!includeConstraints && s->bc) ? s->bc->atlasDof[p] : 0;
7061 
7062     (*gsection)->atlasOff[p] = off;
7063 
7064     off += (*gsection)->atlasDof[p] > 0 ? (*gsection)->atlasDof[p]-cdof : 0;
7065   }
7066   ierr       = MPI_Scan(&off, &globalOff, 1, MPIU_INT, MPI_SUM, s->atlasLayout.comm);CHKERRQ(ierr);
7067   globalOff -= off;
7068   for (p = 0, off = 0; p < pEnd-pStart; ++p) {
7069     (*gsection)->atlasOff[p] += globalOff;
7070 
7071     neg[p] = -((*gsection)->atlasOff[p]+1);
7072   }
7073   /* Put in negative offsets for ghost points */
7074   if (nroots >= 0) {
7075     if (nroots > pEnd - pStart) {
7076       PetscInt *tmpOff;
7077       /* Help Jed: HAVE TO MAKE A BUFFER HERE THE SIZE OF THE COMPLETE SPACE AND THEN COPY INTO THE atlasDof FOR THIS SECTION */
7078       ierr = PetscMalloc(nroots * sizeof(PetscInt), &tmpOff);CHKERRQ(ierr);
7079       ierr = PetscSFBcastBegin(sf, MPIU_INT, &neg[-pStart], tmpOff);CHKERRQ(ierr);
7080       ierr = PetscSFBcastEnd(sf, MPIU_INT, &neg[-pStart], tmpOff);CHKERRQ(ierr);
7081       for (p = pStart; p < pEnd; ++p) {
7082         if (tmpOff[p] < 0) (*gsection)->atlasOff[p-pStart] = tmpOff[p];
7083       }
7084       ierr = PetscFree(tmpOff);CHKERRQ(ierr);
7085     } else {
7086       ierr = PetscSFBcastBegin(sf, MPIU_INT, &neg[-pStart], &(*gsection)->atlasOff[-pStart]);CHKERRQ(ierr);
7087       ierr = PetscSFBcastEnd(sf, MPIU_INT, &neg[-pStart], &(*gsection)->atlasOff[-pStart]);CHKERRQ(ierr);
7088     }
7089   }
7090   ierr = PetscFree(neg);CHKERRQ(ierr);
7091   PetscFunctionReturn(0);
7092 }
7093