xref: /petsc/src/dm/impls/plex/plex.c (revision d12e167ebf17844deeae3c4cdd43de9ffb5cfe5d)
1 #include <petsc/private/dmpleximpl.h>   /*I      "petscdmplex.h"   I*/
2 #include <petsc/private/isimpl.h>
3 #include <petscsf.h>
4 #include <petscds.h>
5 
6 /* Logging support */
7 PetscLogEvent DMPLEX_Interpolate, PETSCPARTITIONER_Partition, DMPLEX_Distribute, DMPLEX_DistributeCones, DMPLEX_DistributeLabels, DMPLEX_DistributeSF, DMPLEX_DistributeOverlap, DMPLEX_DistributeField, DMPLEX_DistributeData, DMPLEX_Migrate, DMPLEX_GlobalToNaturalBegin, DMPLEX_GlobalToNaturalEnd, DMPLEX_NaturalToGlobalBegin, DMPLEX_NaturalToGlobalEnd, DMPLEX_Stratify, DMPLEX_Preallocate, DMPLEX_ResidualFEM, DMPLEX_JacobianFEM, DMPLEX_InterpolatorFEM, DMPLEX_InjectorFEM, DMPLEX_IntegralFEM, DMPLEX_CreateGmsh;
8 
9 PETSC_EXTERN PetscErrorCode VecView_Seq(Vec, PetscViewer);
10 PETSC_EXTERN PetscErrorCode VecView_MPI(Vec, PetscViewer);
11 PETSC_EXTERN PetscErrorCode VecLoad_Default(Vec, PetscViewer);
12 
13 #undef __FUNCT__
14 #define __FUNCT__ "DMPlexGetFieldType_Internal"
15 PetscErrorCode DMPlexGetFieldType_Internal(DM dm, PetscSection section, PetscInt field, PetscInt *sStart, PetscInt *sEnd, PetscViewerVTKFieldType *ft)
16 {
17   PetscInt       dim, pStart, pEnd, vStart, vEnd, cStart, cEnd, cEndInterior, vdof = 0, cdof = 0;
18   PetscErrorCode ierr;
19 
20   PetscFunctionBegin;
21   *ft  = PETSC_VTK_POINT_FIELD;
22   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
23   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
24   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
25   ierr = DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);CHKERRQ(ierr);
26   cEnd = cEndInterior < 0 ? cEnd : cEndInterior;
27   ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
28   if (field >= 0) {
29     if ((vStart >= pStart) && (vStart < pEnd)) {ierr = PetscSectionGetFieldDof(section, vStart, field, &vdof);CHKERRQ(ierr);}
30     if ((cStart >= pStart) && (cStart < pEnd)) {ierr = PetscSectionGetFieldDof(section, cStart, field, &cdof);CHKERRQ(ierr);}
31   } else {
32     if ((vStart >= pStart) && (vStart < pEnd)) {ierr = PetscSectionGetDof(section, vStart, &vdof);CHKERRQ(ierr);}
33     if ((cStart >= pStart) && (cStart < pEnd)) {ierr = PetscSectionGetDof(section, cStart, &cdof);CHKERRQ(ierr);}
34   }
35   if (vdof) {
36     *sStart = vStart;
37     *sEnd   = vEnd;
38     if (vdof == dim) *ft = PETSC_VTK_POINT_VECTOR_FIELD;
39     else             *ft = PETSC_VTK_POINT_FIELD;
40   } else if (cdof) {
41     *sStart = cStart;
42     *sEnd   = cEnd;
43     if (cdof == dim) *ft = PETSC_VTK_CELL_VECTOR_FIELD;
44     else             *ft = PETSC_VTK_CELL_FIELD;
45   } else SETERRQ(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_WRONG, "Could not classify input Vec for VTK");
46   PetscFunctionReturn(0);
47 }
48 
49 #undef __FUNCT__
50 #define __FUNCT__ "VecView_Plex_Local"
51 PetscErrorCode VecView_Plex_Local(Vec v, PetscViewer viewer)
52 {
53   DM             dm;
54   PetscBool      isvtk, ishdf5, isseq;
55   PetscErrorCode ierr;
56 
57   PetscFunctionBegin;
58   ierr = VecGetDM(v, &dm);CHKERRQ(ierr);
59   if (!dm) SETERRQ(PetscObjectComm((PetscObject)v), PETSC_ERR_ARG_WRONG, "Vector not generated from a DM");
60   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERVTK,  &isvtk);CHKERRQ(ierr);
61   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERHDF5, &ishdf5);CHKERRQ(ierr);
62   ierr = PetscObjectTypeCompare((PetscObject) v, VECSEQ, &isseq);CHKERRQ(ierr);
63   if (isvtk || ishdf5) {
64     PetscInt  numFields;
65     PetscBool fem = PETSC_FALSE;
66 
67     ierr = DMGetNumFields(dm, &numFields);CHKERRQ(ierr);
68     if (numFields) {
69       PetscObject fe;
70 
71       ierr = DMGetField(dm, 0, &fe);CHKERRQ(ierr);
72       if (fe->classid == PETSCFE_CLASSID) fem = PETSC_TRUE;
73     }
74     if (fem) {ierr = DMPlexInsertBoundaryValues(dm, PETSC_TRUE, v, 0.0, NULL, NULL, NULL);CHKERRQ(ierr);}
75   }
76   if (isvtk) {
77     PetscSection            section;
78     PetscViewerVTKFieldType ft;
79     PetscInt                pStart, pEnd;
80 
81     ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);
82     ierr = DMPlexGetFieldType_Internal(dm, section, PETSC_DETERMINE, &pStart, &pEnd, &ft);CHKERRQ(ierr);
83     ierr = PetscObjectReference((PetscObject) dm);CHKERRQ(ierr); /* viewer drops reference */
84     ierr = PetscObjectReference((PetscObject) v);CHKERRQ(ierr);  /* viewer drops reference */
85     ierr = PetscViewerVTKAddField(viewer, (PetscObject) dm, DMPlexVTKWriteAll, ft, (PetscObject) v);CHKERRQ(ierr);
86   } else if (ishdf5) {
87 #if defined(PETSC_HAVE_HDF5)
88     ierr = VecView_Plex_Local_HDF5(v, viewer);CHKERRQ(ierr);
89 #else
90     SETERRQ(PetscObjectComm((PetscObject) dm), PETSC_ERR_SUP, "HDF5 not supported in this build.\nPlease reconfigure using --download-hdf5");
91 #endif
92   } else {
93     if (isseq) {ierr = VecView_Seq(v, viewer);CHKERRQ(ierr);}
94     else       {ierr = VecView_MPI(v, viewer);CHKERRQ(ierr);}
95   }
96   PetscFunctionReturn(0);
97 }
98 
99 #undef __FUNCT__
100 #define __FUNCT__ "VecView_Plex"
101 PetscErrorCode VecView_Plex(Vec v, PetscViewer viewer)
102 {
103   DM             dm;
104   PetscBool      isvtk, ishdf5, isseq;
105   PetscErrorCode ierr;
106 
107   PetscFunctionBegin;
108   ierr = VecGetDM(v, &dm);CHKERRQ(ierr);
109   if (!dm) SETERRQ(PetscObjectComm((PetscObject)v), PETSC_ERR_ARG_WRONG, "Vector not generated from a DM");
110   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERVTK,  &isvtk);CHKERRQ(ierr);
111   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERHDF5, &ishdf5);CHKERRQ(ierr);
112   ierr = PetscObjectTypeCompare((PetscObject) v, VECSEQ, &isseq);CHKERRQ(ierr);
113   if (isvtk) {
114     Vec         locv;
115     const char *name;
116 
117     ierr = DMGetLocalVector(dm, &locv);CHKERRQ(ierr);
118     ierr = PetscObjectGetName((PetscObject) v, &name);CHKERRQ(ierr);
119     ierr = PetscObjectSetName((PetscObject) locv, name);CHKERRQ(ierr);
120     ierr = DMGlobalToLocalBegin(dm, v, INSERT_VALUES, locv);CHKERRQ(ierr);
121     ierr = DMGlobalToLocalEnd(dm, v, INSERT_VALUES, locv);CHKERRQ(ierr);
122     ierr = VecView_Plex_Local(locv, viewer);CHKERRQ(ierr);
123     ierr = DMRestoreLocalVector(dm, &locv);CHKERRQ(ierr);
124   } else if (ishdf5) {
125 #if defined(PETSC_HAVE_HDF5)
126     ierr = VecView_Plex_HDF5(v, viewer);CHKERRQ(ierr);
127 #else
128     SETERRQ(PetscObjectComm((PetscObject) dm), PETSC_ERR_SUP, "HDF5 not supported in this build.\nPlease reconfigure using --download-hdf5");
129 #endif
130   } else {
131     if (isseq) {ierr = VecView_Seq(v, viewer);CHKERRQ(ierr);}
132     else       {ierr = VecView_MPI(v, viewer);CHKERRQ(ierr);}
133   }
134   PetscFunctionReturn(0);
135 }
136 
137 #undef __FUNCT__
138 #define __FUNCT__ "VecView_Plex_Native"
139 PetscErrorCode VecView_Plex_Native(Vec originalv, PetscViewer viewer)
140 {
141   DM                dm;
142   MPI_Comm          comm;
143   PetscViewerFormat format;
144   Vec               v;
145   PetscBool         isvtk, ishdf5;
146   PetscErrorCode    ierr;
147 
148   PetscFunctionBegin;
149   ierr = VecGetDM(originalv, &dm);CHKERRQ(ierr);
150   ierr = PetscObjectGetComm((PetscObject) originalv, &comm);CHKERRQ(ierr);
151   if (!dm) SETERRQ(comm, PETSC_ERR_ARG_WRONG, "Vector not generated from a DM");
152   ierr = PetscViewerGetFormat(viewer, &format);CHKERRQ(ierr);
153   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERHDF5, &ishdf5);CHKERRQ(ierr);
154   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERVTK,  &isvtk);CHKERRQ(ierr);
155   if (format == PETSC_VIEWER_NATIVE) {
156     const char *vecname;
157     PetscInt    n, nroots;
158 
159     if (dm->sfNatural) {
160       ierr = VecGetLocalSize(originalv, &n);
161       ierr = PetscSFGetGraph(dm->sfNatural, &nroots, NULL, NULL, NULL);CHKERRQ(ierr);
162       if (n == nroots) {
163         ierr = DMGetGlobalVector(dm, &v);CHKERRQ(ierr);
164         ierr = DMPlexGlobalToNaturalBegin(dm, originalv, v);CHKERRQ(ierr);
165         ierr = DMPlexGlobalToNaturalEnd(dm, originalv, v);CHKERRQ(ierr);
166         ierr = PetscObjectGetName((PetscObject) originalv, &vecname);CHKERRQ(ierr);
167         ierr = PetscObjectSetName((PetscObject) v, vecname);CHKERRQ(ierr);
168       } else SETERRQ(comm, PETSC_ERR_ARG_WRONG, "DM global to natural SF only handles global vectors");
169     } else SETERRQ(comm, PETSC_ERR_ARG_WRONGSTATE, "DM global to natural SF was not created");
170   } else {
171     /* we are viewing a natural DMPlex vec. */
172     v = originalv;
173   }
174   if (ishdf5) {
175 #if defined(PETSC_HAVE_HDF5)
176     ierr = VecView_Plex_HDF5_Native(v, viewer);CHKERRQ(ierr);
177 #else
178     SETERRQ(comm, PETSC_ERR_SUP, "HDF5 not supported in this build.\nPlease reconfigure using --download-hdf5");
179 #endif
180   } else if (isvtk) {
181     SETERRQ(comm, PETSC_ERR_SUP, "VTK format does not support viewing in natural order. Please switch to HDF5.");
182   } else {
183     PetscBool isseq;
184 
185     ierr = PetscObjectTypeCompare((PetscObject) v, VECSEQ, &isseq);CHKERRQ(ierr);
186     if (isseq) {ierr = VecView_Seq(v, viewer);CHKERRQ(ierr);}
187     else       {ierr = VecView_MPI(v, viewer);CHKERRQ(ierr);}
188   }
189   if (format == PETSC_VIEWER_NATIVE) {ierr = DMRestoreGlobalVector(dm, &v);CHKERRQ(ierr);}
190   PetscFunctionReturn(0);
191 }
192 
193 #undef __FUNCT__
194 #define __FUNCT__ "VecLoad_Plex_Local"
195 PetscErrorCode VecLoad_Plex_Local(Vec v, PetscViewer viewer)
196 {
197   DM             dm;
198   PetscBool      ishdf5;
199   PetscErrorCode ierr;
200 
201   PetscFunctionBegin;
202   ierr = VecGetDM(v, &dm);CHKERRQ(ierr);
203   if (!dm) SETERRQ(PetscObjectComm((PetscObject)v), PETSC_ERR_ARG_WRONG, "Vector not generated from a DM");
204   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERHDF5, &ishdf5);CHKERRQ(ierr);
205   if (ishdf5) {
206     DM          dmBC;
207     Vec         gv;
208     const char *name;
209 
210     ierr = DMGetOutputDM(dm, &dmBC);CHKERRQ(ierr);
211     ierr = DMGetGlobalVector(dmBC, &gv);CHKERRQ(ierr);
212     ierr = PetscObjectGetName((PetscObject) v, &name);CHKERRQ(ierr);
213     ierr = PetscObjectSetName((PetscObject) gv, name);CHKERRQ(ierr);
214     ierr = VecLoad_Default(gv, viewer);CHKERRQ(ierr);
215     ierr = DMGlobalToLocalBegin(dmBC, gv, INSERT_VALUES, v);CHKERRQ(ierr);
216     ierr = DMGlobalToLocalEnd(dmBC, gv, INSERT_VALUES, v);CHKERRQ(ierr);
217     ierr = DMRestoreGlobalVector(dmBC, &gv);CHKERRQ(ierr);
218   } else {
219     ierr = VecLoad_Default(v, viewer);CHKERRQ(ierr);
220   }
221   PetscFunctionReturn(0);
222 }
223 
224 #undef __FUNCT__
225 #define __FUNCT__ "VecLoad_Plex"
226 PetscErrorCode VecLoad_Plex(Vec v, PetscViewer viewer)
227 {
228   DM             dm;
229   PetscBool      ishdf5;
230   PetscErrorCode ierr;
231 
232   PetscFunctionBegin;
233   ierr = VecGetDM(v, &dm);CHKERRQ(ierr);
234   if (!dm) SETERRQ(PetscObjectComm((PetscObject)v), PETSC_ERR_ARG_WRONG, "Vector not generated from a DM");
235   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERHDF5, &ishdf5);CHKERRQ(ierr);
236   if (ishdf5) {
237 #if defined(PETSC_HAVE_HDF5)
238     ierr = VecLoad_Plex_HDF5(v, viewer);CHKERRQ(ierr);
239 #else
240     SETERRQ(PetscObjectComm((PetscObject) dm), PETSC_ERR_SUP, "HDF5 not supported in this build.\nPlease reconfigure using --download-hdf5");
241 #endif
242   } else {
243     ierr = VecLoad_Default(v, viewer);CHKERRQ(ierr);
244   }
245   PetscFunctionReturn(0);
246 }
247 
248 #undef __FUNCT__
249 #define __FUNCT__ "VecLoad_Plex_Native"
250 PetscErrorCode VecLoad_Plex_Native(Vec originalv, PetscViewer viewer)
251 {
252   DM                dm;
253   PetscViewerFormat format;
254   PetscBool         ishdf5;
255   PetscErrorCode    ierr;
256 
257   PetscFunctionBegin;
258   ierr = VecGetDM(originalv, &dm);CHKERRQ(ierr);
259   if (!dm) SETERRQ(PetscObjectComm((PetscObject) originalv), PETSC_ERR_ARG_WRONG, "Vector not generated from a DM");
260   ierr = PetscViewerGetFormat(viewer, &format);CHKERRQ(ierr);
261   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERHDF5, &ishdf5);CHKERRQ(ierr);
262   if (format == PETSC_VIEWER_NATIVE) {
263     if (dm->sfNatural) {
264       if (ishdf5) {
265 #if defined(PETSC_HAVE_HDF5)
266         Vec         v;
267         const char *vecname;
268 
269         ierr = DMGetGlobalVector(dm, &v);CHKERRQ(ierr);
270         ierr = PetscObjectGetName((PetscObject) originalv, &vecname);CHKERRQ(ierr);
271         ierr = PetscObjectSetName((PetscObject) v, vecname);CHKERRQ(ierr);
272         ierr = VecLoad_Plex_HDF5_Native(v, viewer);CHKERRQ(ierr);
273         ierr = DMPlexNaturalToGlobalBegin(dm, v, originalv);CHKERRQ(ierr);
274         ierr = DMPlexNaturalToGlobalEnd(dm, v, originalv);CHKERRQ(ierr);
275         ierr = DMRestoreGlobalVector(dm, &v);CHKERRQ(ierr);
276 #else
277         SETERRQ(PetscObjectComm((PetscObject) dm), PETSC_ERR_SUP, "HDF5 not supported in this build.\nPlease reconfigure using --download-hdf5");
278 #endif
279       } else SETERRQ(PetscObjectComm((PetscObject) dm), PETSC_ERR_SUP, "Reading in natural order is not supported for anything but HDF5.");
280     }
281   }
282   PetscFunctionReturn(0);
283 }
284 
285 #undef __FUNCT__
286 #define __FUNCT__ "DMPlexView_Ascii_Geometry"
287 PetscErrorCode DMPlexView_Ascii_Geometry(DM dm, PetscViewer viewer)
288 {
289   PetscSection       coordSection;
290   Vec                coordinates;
291   DMLabel            depthLabel;
292   const char        *name[4];
293   const PetscScalar *a;
294   PetscInt           dim, pStart, pEnd, cStart, cEnd, c;
295   PetscErrorCode     ierr;
296 
297   PetscFunctionBegin;
298   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
299   ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
300   ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
301   ierr = DMPlexGetDepthLabel(dm, &depthLabel);CHKERRQ(ierr);
302   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
303   ierr = PetscSectionGetChart(coordSection, &pStart, &pEnd);CHKERRQ(ierr);
304   ierr = VecGetArrayRead(coordinates, &a);CHKERRQ(ierr);
305   name[0]     = "vertex";
306   name[1]     = "edge";
307   name[dim-1] = "face";
308   name[dim]   = "cell";
309   for (c = cStart; c < cEnd; ++c) {
310     PetscInt *closure = NULL;
311     PetscInt  closureSize, cl;
312 
313     ierr = PetscViewerASCIIPrintf(viewer, "Geometry for cell %D:\n", c);CHKERRQ(ierr);
314     ierr = DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
315     ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
316     for (cl = 0; cl < closureSize*2; cl += 2) {
317       PetscInt point = closure[cl], depth, dof, off, d, p;
318 
319       if ((point < pStart) || (point >= pEnd)) continue;
320       ierr = PetscSectionGetDof(coordSection, point, &dof);CHKERRQ(ierr);
321       if (!dof) continue;
322       ierr = DMLabelGetValue(depthLabel, point, &depth);CHKERRQ(ierr);
323       ierr = PetscSectionGetOffset(coordSection, point, &off);CHKERRQ(ierr);
324       ierr = PetscViewerASCIIPrintf(viewer, "%s %D coords:", name[depth], point);CHKERRQ(ierr);
325       for (p = 0; p < dof/dim; ++p) {
326         ierr = PetscViewerASCIIPrintf(viewer, " (");CHKERRQ(ierr);
327         for (d = 0; d < dim; ++d) {
328           if (d > 0) {ierr = PetscViewerASCIIPrintf(viewer, ", ");CHKERRQ(ierr);}
329           ierr = PetscViewerASCIIPrintf(viewer, "%g", PetscRealPart(a[off+p*dim+d]));CHKERRQ(ierr);
330         }
331         ierr = PetscViewerASCIIPrintf(viewer, ")");CHKERRQ(ierr);
332       }
333       ierr = PetscViewerASCIIPrintf(viewer, "\n");CHKERRQ(ierr);
334     }
335     ierr = DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
336     ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
337   }
338   ierr = VecRestoreArrayRead(coordinates, &a);CHKERRQ(ierr);
339   PetscFunctionReturn(0);
340 }
341 
342 #undef __FUNCT__
343 #define __FUNCT__ "DMPlexView_Ascii"
344 PetscErrorCode DMPlexView_Ascii(DM dm, PetscViewer viewer)
345 {
346   DM_Plex          *mesh = (DM_Plex*) dm->data;
347   DM                cdm;
348   DMLabel           markers;
349   PetscSection      coordSection;
350   Vec               coordinates;
351   PetscViewerFormat format;
352   PetscErrorCode    ierr;
353 
354   PetscFunctionBegin;
355   ierr = DMGetCoordinateDM(dm, &cdm);CHKERRQ(ierr);
356   ierr = DMGetDefaultSection(cdm, &coordSection);CHKERRQ(ierr);
357   ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
358   ierr = PetscViewerGetFormat(viewer, &format);CHKERRQ(ierr);
359   if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
360     const char *name;
361     PetscInt    maxConeSize, maxSupportSize;
362     PetscInt    pStart, pEnd, p;
363     PetscMPIInt rank, size;
364 
365     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)dm), &rank);CHKERRQ(ierr);
366     ierr = MPI_Comm_size(PetscObjectComm((PetscObject)dm), &size);CHKERRQ(ierr);
367     ierr = PetscObjectGetName((PetscObject) dm, &name);CHKERRQ(ierr);
368     ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
369     ierr = DMPlexGetMaxSizes(dm, &maxConeSize, &maxSupportSize);CHKERRQ(ierr);
370     ierr = PetscViewerASCIIPrintf(viewer, "Mesh '%s':\n", name);CHKERRQ(ierr);
371     ierr = PetscViewerASCIIPrintf(viewer, "orientation is missing\n", name);CHKERRQ(ierr);
372     ierr = PetscViewerASCIIPrintf(viewer, "cap --> base:\n", name);CHKERRQ(ierr);
373     ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr);
374     ierr = PetscViewerASCIISynchronizedPrintf(viewer, "[%d] Max sizes cone: %D support: %D\n", rank,maxConeSize, maxSupportSize);CHKERRQ(ierr);
375     for (p = pStart; p < pEnd; ++p) {
376       PetscInt dof, off, s;
377 
378       ierr = PetscSectionGetDof(mesh->supportSection, p, &dof);CHKERRQ(ierr);
379       ierr = PetscSectionGetOffset(mesh->supportSection, p, &off);CHKERRQ(ierr);
380       for (s = off; s < off+dof; ++s) {
381         ierr = PetscViewerASCIISynchronizedPrintf(viewer, "[%d]: %D ----> %D\n", rank, p, mesh->supports[s]);CHKERRQ(ierr);
382       }
383     }
384     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
385     ierr = PetscViewerASCIIPrintf(viewer, "base <-- cap:\n", name);CHKERRQ(ierr);
386     for (p = pStart; p < pEnd; ++p) {
387       PetscInt dof, off, c;
388 
389       ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
390       ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
391       for (c = off; c < off+dof; ++c) {
392         ierr = PetscViewerASCIISynchronizedPrintf(viewer, "[%d]: %D <---- %D (%D)\n", rank, p, mesh->cones[c], mesh->coneOrientations[c]);CHKERRQ(ierr);
393       }
394     }
395     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
396     ierr = PetscViewerASCIIPopSynchronized(viewer);CHKERRQ(ierr);
397     ierr = PetscSectionGetChart(coordSection, &pStart, NULL);CHKERRQ(ierr);
398     if (pStart >= 0) {ierr = PetscSectionVecView(coordSection, coordinates, viewer);CHKERRQ(ierr);}
399     ierr = DMGetLabel(dm, "marker", &markers);CHKERRQ(ierr);
400     ierr = DMLabelView(markers,viewer);CHKERRQ(ierr);
401     if (size > 1) {
402       PetscSF sf;
403 
404       ierr = DMGetPointSF(dm, &sf);CHKERRQ(ierr);
405       ierr = PetscSFView(sf, viewer);CHKERRQ(ierr);
406     }
407     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
408   } else if (format == PETSC_VIEWER_ASCII_LATEX) {
409     const char  *name, *color;
410     const char  *defcolors[3]  = {"gray", "orange", "green"};
411     const char  *deflcolors[4] = {"blue", "cyan", "red", "magenta"};
412     PetscReal    scale         = 2.0;
413     PetscBool    useNumbers    = PETSC_TRUE, useLabels, useColors;
414     double       tcoords[3];
415     PetscScalar *coords;
416     PetscInt     numLabels, l, numColors, numLColors, dim, depth, cStart, cEnd, c, vStart, vEnd, v, eStart = 0, eEnd = 0, e, p;
417     PetscMPIInt  rank, size;
418     char         **names, **colors, **lcolors;
419 
420     ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
421     ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
422     ierr = DMGetNumLabels(dm, &numLabels);CHKERRQ(ierr);
423     numLabels  = PetscMax(numLabels, 10);
424     numColors  = 10;
425     numLColors = 10;
426     ierr = PetscCalloc3(numLabels, &names, numColors, &colors, numLColors, &lcolors);CHKERRQ(ierr);
427     ierr = PetscOptionsGetReal(((PetscObject) viewer)->options,((PetscObject) viewer)->prefix, "-dm_plex_view_scale", &scale, NULL);CHKERRQ(ierr);
428     ierr = PetscOptionsGetBool(((PetscObject) viewer)->options,((PetscObject) viewer)->prefix, "-dm_plex_view_numbers", &useNumbers, NULL);CHKERRQ(ierr);
429     ierr = PetscOptionsGetStringArray(((PetscObject) viewer)->options,((PetscObject) viewer)->prefix, "-dm_plex_view_labels", names, &numLabels, &useLabels);CHKERRQ(ierr);
430     if (!useLabels) numLabels = 0;
431     ierr = PetscOptionsGetStringArray(((PetscObject) viewer)->options,((PetscObject) viewer)->prefix, "-dm_plex_view_colors", colors, &numColors, &useColors);CHKERRQ(ierr);
432     if (!useColors) {
433       numColors = 3;
434       for (c = 0; c < numColors; ++c) {ierr = PetscStrallocpy(defcolors[c], &colors[c]);CHKERRQ(ierr);}
435     }
436     ierr = PetscOptionsGetStringArray(((PetscObject) viewer)->options,((PetscObject) viewer)->prefix, "-dm_plex_view_lcolors", lcolors, &numLColors, &useColors);CHKERRQ(ierr);
437     if (!useColors) {
438       numLColors = 4;
439       for (c = 0; c < numLColors; ++c) {ierr = PetscStrallocpy(deflcolors[c], &lcolors[c]);CHKERRQ(ierr);}
440     }
441     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)dm), &rank);CHKERRQ(ierr);
442     ierr = MPI_Comm_size(PetscObjectComm((PetscObject)dm), &size);CHKERRQ(ierr);
443     ierr = PetscObjectGetName((PetscObject) dm, &name);CHKERRQ(ierr);
444     ierr = PetscViewerASCIIPrintf(viewer, "\
445 \\documentclass[tikz]{standalone}\n\n\
446 \\usepackage{pgflibraryshapes}\n\
447 \\usetikzlibrary{backgrounds}\n\
448 \\usetikzlibrary{arrows}\n\
449 \\begin{document}\n");CHKERRQ(ierr);
450     if (size > 1) {
451       ierr = PetscViewerASCIIPrintf(viewer, "%s for process ", name);CHKERRQ(ierr);
452       for (p = 0; p < size; ++p) {
453         if (p > 0 && p == size-1) {
454           ierr = PetscViewerASCIIPrintf(viewer, ", and ", colors[p%numColors], p);CHKERRQ(ierr);
455         } else if (p > 0) {
456           ierr = PetscViewerASCIIPrintf(viewer, ", ", colors[p%numColors], p);CHKERRQ(ierr);
457         }
458         ierr = PetscViewerASCIIPrintf(viewer, "{\\textcolor{%s}%D}", colors[p%numColors], p);CHKERRQ(ierr);
459       }
460       ierr = PetscViewerASCIIPrintf(viewer, ".\n\n\n");CHKERRQ(ierr);
461     }
462     ierr = PetscViewerASCIIPrintf(viewer, "\\begin{tikzpicture}[scale = %g,font=\\fontsize{8}{8}\\selectfont]\n", 1.0);CHKERRQ(ierr);
463     /* Plot vertices */
464     ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
465     ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
466     ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr);
467     for (v = vStart; v < vEnd; ++v) {
468       PetscInt  off, dof, d;
469       PetscBool isLabeled = PETSC_FALSE;
470 
471       ierr = PetscSectionGetDof(coordSection, v, &dof);CHKERRQ(ierr);
472       ierr = PetscSectionGetOffset(coordSection, v, &off);CHKERRQ(ierr);
473       ierr = PetscViewerASCIISynchronizedPrintf(viewer, "\\path (");CHKERRQ(ierr);
474       if (PetscUnlikely(dof > 3)) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"coordSection vertex %D has dof %D > 3",v,dof);
475       for (d = 0; d < dof; ++d) {
476         tcoords[d] = (double) (scale*PetscRealPart(coords[off+d]));
477         tcoords[d] = PetscAbsReal(tcoords[d]) < 1e-10 ? 0.0 : tcoords[d];
478       }
479       /* Rotate coordinates since PGF makes z point out of the page instead of up */
480       if (dim == 3) {PetscReal tmp = tcoords[1]; tcoords[1] = tcoords[2]; tcoords[2] = -tmp;}
481       for (d = 0; d < dof; ++d) {
482         if (d > 0) {ierr = PetscViewerASCIISynchronizedPrintf(viewer, ",");CHKERRQ(ierr);}
483         ierr = PetscViewerASCIISynchronizedPrintf(viewer, "%g", tcoords[d]);CHKERRQ(ierr);
484       }
485       color = colors[rank%numColors];
486       for (l = 0; l < numLabels; ++l) {
487         PetscInt val;
488         ierr = DMGetLabelValue(dm, names[l], v, &val);CHKERRQ(ierr);
489         if (val >= 0) {color = lcolors[l%numLColors]; isLabeled = PETSC_TRUE; break;}
490       }
491       if (useNumbers) {
492         ierr = PetscViewerASCIISynchronizedPrintf(viewer, ") node(%D_%d) [draw,shape=circle,color=%s] {%D};\n", v, rank, color, v);CHKERRQ(ierr);
493       } else {
494         ierr = PetscViewerASCIISynchronizedPrintf(viewer, ") node(%D_%d) [fill,inner sep=%dpt,shape=circle,color=%s] {};\n", v, rank, !isLabeled ? 1 : 2, color);CHKERRQ(ierr);
495       }
496     }
497     ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
498     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
499     /* Plot edges */
500     if (depth > 1) {ierr = DMPlexGetDepthStratum(dm, 1, &eStart, &eEnd);CHKERRQ(ierr);}
501     if (dim < 3 && useNumbers) {
502       ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
503       ierr = PetscViewerASCIIPrintf(viewer, "\\path\n");CHKERRQ(ierr);
504       for (e = eStart; e < eEnd; ++e) {
505         const PetscInt *cone;
506         PetscInt        coneSize, offA, offB, dof, d;
507 
508         ierr = DMPlexGetConeSize(dm, e, &coneSize);CHKERRQ(ierr);
509         if (coneSize != 2) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Edge %D cone should have two vertices, not %D", e, coneSize);
510         ierr = DMPlexGetCone(dm, e, &cone);CHKERRQ(ierr);
511         ierr = PetscSectionGetDof(coordSection, cone[0], &dof);CHKERRQ(ierr);
512         ierr = PetscSectionGetOffset(coordSection, cone[0], &offA);CHKERRQ(ierr);
513         ierr = PetscSectionGetOffset(coordSection, cone[1], &offB);CHKERRQ(ierr);
514         ierr = PetscViewerASCIISynchronizedPrintf(viewer, "(");CHKERRQ(ierr);
515         for (d = 0; d < dof; ++d) {
516           tcoords[d] = (double) (scale*PetscRealPart(coords[offA+d]+coords[offB+d]));
517           tcoords[d] = PetscAbsReal(tcoords[d]) < 1e-10 ? 0.0 : tcoords[d];
518         }
519         /* Rotate coordinates since PGF makes z point out of the page instead of up */
520         if (dim == 3) {PetscReal tmp = tcoords[1]; tcoords[1] = tcoords[2]; tcoords[2] = -tmp;}
521         for (d = 0; d < dof; ++d) {
522           if (d > 0) {ierr = PetscViewerASCIISynchronizedPrintf(viewer, ",");CHKERRQ(ierr);}
523           ierr = PetscViewerASCIISynchronizedPrintf(viewer, "%g", (double)tcoords[d]);CHKERRQ(ierr);
524         }
525         color = colors[rank%numColors];
526         for (l = 0; l < numLabels; ++l) {
527           PetscInt val;
528           ierr = DMGetLabelValue(dm, names[l], v, &val);CHKERRQ(ierr);
529           if (val >= 0) {color = lcolors[l%numLColors]; break;}
530         }
531         ierr = PetscViewerASCIISynchronizedPrintf(viewer, ") node(%D_%d) [draw,shape=circle,color=%s] {%D} --\n", e, rank, color, e);CHKERRQ(ierr);
532       }
533       ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
534       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
535       ierr = PetscViewerASCIIPrintf(viewer, "(0,0);\n");CHKERRQ(ierr);
536     }
537     /* Plot cells */
538     if (dim == 3 || !useNumbers) {
539       for (e = eStart; e < eEnd; ++e) {
540         const PetscInt *cone;
541 
542         color = colors[rank%numColors];
543         for (l = 0; l < numLabels; ++l) {
544           PetscInt val;
545           ierr = DMGetLabelValue(dm, names[l], e, &val);CHKERRQ(ierr);
546           if (val >= 0) {color = lcolors[l%numLColors]; break;}
547         }
548         ierr = DMPlexGetCone(dm, e, &cone);CHKERRQ(ierr);
549         ierr = PetscViewerASCIISynchronizedPrintf(viewer, "\\draw[color=%s] (%D_%d) -- (%D_%d);\n", color, cone[0], rank, cone[1], rank);CHKERRQ(ierr);
550       }
551     } else {
552       ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
553       for (c = cStart; c < cEnd; ++c) {
554         PetscInt *closure = NULL;
555         PetscInt  closureSize, firstPoint = -1;
556 
557         ierr = DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
558         ierr = PetscViewerASCIISynchronizedPrintf(viewer, "\\draw[color=%s] ", colors[rank%numColors]);CHKERRQ(ierr);
559         for (p = 0; p < closureSize*2; p += 2) {
560           const PetscInt point = closure[p];
561 
562           if ((point < vStart) || (point >= vEnd)) continue;
563           if (firstPoint >= 0) {ierr = PetscViewerASCIISynchronizedPrintf(viewer, " -- ");CHKERRQ(ierr);}
564           ierr = PetscViewerASCIISynchronizedPrintf(viewer, "(%D_%d)", point, rank);CHKERRQ(ierr);
565           if (firstPoint < 0) firstPoint = point;
566         }
567         /* Why doesn't this work? ierr = PetscViewerASCIISynchronizedPrintf(viewer, " -- cycle;\n");CHKERRQ(ierr); */
568         ierr = PetscViewerASCIISynchronizedPrintf(viewer, " -- (%D_%d);\n", firstPoint, rank);CHKERRQ(ierr);
569         ierr = DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
570       }
571     }
572     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
573     ierr = PetscViewerASCIIPopSynchronized(viewer);CHKERRQ(ierr);
574     ierr = PetscViewerASCIIPrintf(viewer, "\\end{tikzpicture}\n");CHKERRQ(ierr);
575     ierr = PetscViewerASCIIPrintf(viewer, "\\end{document}\n", name);CHKERRQ(ierr);
576     for (l = 0; l < numLabels;  ++l) {ierr = PetscFree(names[l]);CHKERRQ(ierr);}
577     for (c = 0; c < numColors;  ++c) {ierr = PetscFree(colors[c]);CHKERRQ(ierr);}
578     for (c = 0; c < numLColors; ++c) {ierr = PetscFree(lcolors[c]);CHKERRQ(ierr);}
579     ierr = PetscFree3(names, colors, lcolors);CHKERRQ(ierr);
580   } else {
581     MPI_Comm    comm;
582     PetscInt   *sizes, *hybsizes;
583     PetscInt    locDepth, depth, dim, d, pMax[4];
584     PetscInt    pStart, pEnd, p;
585     PetscInt    numLabels, l;
586     const char *name;
587     PetscMPIInt size;
588 
589     ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
590     ierr = MPI_Comm_size(comm, &size);CHKERRQ(ierr);
591     ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
592     ierr = PetscObjectGetName((PetscObject) dm, &name);CHKERRQ(ierr);
593     if (name) {ierr = PetscViewerASCIIPrintf(viewer, "%s in %D dimensions:\n", name, dim);CHKERRQ(ierr);}
594     else      {ierr = PetscViewerASCIIPrintf(viewer, "Mesh in %D dimensions:\n", dim);CHKERRQ(ierr);}
595     ierr = DMPlexGetDepth(dm, &locDepth);CHKERRQ(ierr);
596     ierr = MPIU_Allreduce(&locDepth, &depth, 1, MPIU_INT, MPI_MAX, comm);CHKERRQ(ierr);
597     ierr = DMPlexGetHybridBounds(dm, &pMax[depth], depth > 0 ? &pMax[depth-1] : NULL, &pMax[1], &pMax[0]);CHKERRQ(ierr);
598     ierr = PetscMalloc2(size,&sizes,size,&hybsizes);CHKERRQ(ierr);
599     if (depth == 1) {
600       ierr = DMPlexGetDepthStratum(dm, 0, &pStart, &pEnd);CHKERRQ(ierr);
601       pEnd = pEnd - pStart;
602       ierr = MPI_Gather(&pEnd, 1, MPIU_INT, sizes, 1, MPIU_INT, 0, comm);CHKERRQ(ierr);
603       ierr = PetscViewerASCIIPrintf(viewer, "  %d-cells:", 0);CHKERRQ(ierr);
604       for (p = 0; p < size; ++p) {ierr = PetscViewerASCIIPrintf(viewer, " %D", sizes[p]);CHKERRQ(ierr);}
605       ierr = PetscViewerASCIIPrintf(viewer, "\n");CHKERRQ(ierr);
606       ierr = DMPlexGetHeightStratum(dm, 0, &pStart, &pEnd);CHKERRQ(ierr);
607       pEnd = pEnd - pStart;
608       ierr = MPI_Gather(&pEnd, 1, MPIU_INT, sizes, 1, MPIU_INT, 0, comm);CHKERRQ(ierr);
609       ierr = PetscViewerASCIIPrintf(viewer, "  %D-cells:", dim);CHKERRQ(ierr);
610       for (p = 0; p < size; ++p) {ierr = PetscViewerASCIIPrintf(viewer, " %D", sizes[p]);CHKERRQ(ierr);}
611       ierr = PetscViewerASCIIPrintf(viewer, "\n");CHKERRQ(ierr);
612     } else {
613       for (d = 0; d <= dim; d++) {
614         ierr = DMPlexGetDepthStratum(dm, d, &pStart, &pEnd);CHKERRQ(ierr);
615         pEnd    -= pStart;
616         pMax[d] -= pStart;
617         ierr = MPI_Gather(&pEnd, 1, MPIU_INT, sizes, 1, MPIU_INT, 0, comm);CHKERRQ(ierr);
618         ierr = MPI_Gather(&pMax[d], 1, MPIU_INT, hybsizes, 1, MPIU_INT, 0, comm);CHKERRQ(ierr);
619         ierr = PetscViewerASCIIPrintf(viewer, "  %D-cells:", d);CHKERRQ(ierr);
620         for (p = 0; p < size; ++p) {
621           if (hybsizes[p] >= 0) {ierr = PetscViewerASCIIPrintf(viewer, " %D (%D)", sizes[p], sizes[p] - hybsizes[p]);CHKERRQ(ierr);}
622           else                  {ierr = PetscViewerASCIIPrintf(viewer, " %D", sizes[p]);CHKERRQ(ierr);}
623         }
624         ierr = PetscViewerASCIIPrintf(viewer, "\n");CHKERRQ(ierr);
625       }
626     }
627     ierr = PetscFree2(sizes,hybsizes);CHKERRQ(ierr);
628     ierr = DMGetNumLabels(dm, &numLabels);CHKERRQ(ierr);
629     if (numLabels) {ierr = PetscViewerASCIIPrintf(viewer, "Labels:\n");CHKERRQ(ierr);}
630     for (l = 0; l < numLabels; ++l) {
631       DMLabel         label;
632       const char     *name;
633       IS              valueIS;
634       const PetscInt *values;
635       PetscInt        numValues, v;
636 
637       ierr = DMGetLabelName(dm, l, &name);CHKERRQ(ierr);
638       ierr = DMGetLabel(dm, name, &label);CHKERRQ(ierr);
639       ierr = DMLabelGetNumValues(label, &numValues);CHKERRQ(ierr);
640       ierr = PetscViewerASCIIPrintf(viewer, "  %s: %D strata of sizes (", name, numValues);CHKERRQ(ierr);
641       ierr = DMLabelGetValueIS(label, &valueIS);CHKERRQ(ierr);
642       ierr = ISGetIndices(valueIS, &values);CHKERRQ(ierr);
643       for (v = 0; v < numValues; ++v) {
644         PetscInt size;
645 
646         ierr = DMLabelGetStratumSize(label, values[v], &size);CHKERRQ(ierr);
647         if (v > 0) {ierr = PetscViewerASCIIPrintf(viewer, ", ");CHKERRQ(ierr);}
648         ierr = PetscViewerASCIIPrintf(viewer, "%D", size);CHKERRQ(ierr);
649       }
650       ierr = PetscViewerASCIIPrintf(viewer, ")\n");CHKERRQ(ierr);
651       ierr = ISRestoreIndices(valueIS, &values);CHKERRQ(ierr);
652       ierr = ISDestroy(&valueIS);CHKERRQ(ierr);
653     }
654     ierr = DMGetCoarseDM(dm, &cdm);CHKERRQ(ierr);
655     if (cdm) {
656       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
657       ierr = DMPlexView_Ascii(cdm, viewer);CHKERRQ(ierr);
658       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
659     }
660   }
661   PetscFunctionReturn(0);
662 }
663 
664 #undef __FUNCT__
665 #define __FUNCT__ "DMView_Plex"
666 PetscErrorCode DMView_Plex(DM dm, PetscViewer viewer)
667 {
668   PetscBool      iascii, ishdf5, isvtk;
669   PetscErrorCode ierr;
670 
671   PetscFunctionBegin;
672   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
673   PetscValidHeaderSpecific(viewer, PETSC_VIEWER_CLASSID, 2);
674   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERASCII, &iascii);CHKERRQ(ierr);
675   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERVTK,   &isvtk);CHKERRQ(ierr);
676   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERHDF5,  &ishdf5);CHKERRQ(ierr);
677   if (iascii) {
678     ierr = DMPlexView_Ascii(dm, viewer);CHKERRQ(ierr);
679   } else if (ishdf5) {
680 #if defined(PETSC_HAVE_HDF5)
681     ierr = PetscViewerPushFormat(viewer, PETSC_VIEWER_HDF5_VIZ);CHKERRQ(ierr);
682     ierr = DMPlexView_HDF5(dm, viewer);CHKERRQ(ierr);
683     ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
684 #else
685     SETERRQ(PetscObjectComm((PetscObject) dm), PETSC_ERR_SUP, "HDF5 not supported in this build.\nPlease reconfigure using --download-hdf5");
686 #endif
687   }
688   else if (isvtk) {
689     ierr = DMPlexVTKWriteAll((PetscObject) dm,viewer);CHKERRQ(ierr);
690   }
691   PetscFunctionReturn(0);
692 }
693 
694 #undef __FUNCT__
695 #define __FUNCT__ "DMLoad_Plex"
696 PetscErrorCode DMLoad_Plex(DM dm, PetscViewer viewer)
697 {
698   PetscBool      isbinary, ishdf5;
699   PetscErrorCode ierr;
700 
701   PetscFunctionBegin;
702   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
703   PetscValidHeaderSpecific(viewer, PETSC_VIEWER_CLASSID, 2);
704   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERBINARY, &isbinary);CHKERRQ(ierr);
705   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERHDF5,   &ishdf5);CHKERRQ(ierr);
706   if (isbinary) {SETERRQ(PetscObjectComm((PetscObject) dm), PETSC_ERR_SUP, "Do not yet support binary viewers");}
707   else if (ishdf5) {
708 #if defined(PETSC_HAVE_HDF5)
709     ierr = DMPlexLoad_HDF5(dm, viewer);CHKERRQ(ierr);
710 #else
711     SETERRQ(PetscObjectComm((PetscObject) dm), PETSC_ERR_SUP, "HDF5 not supported in this build.\nPlease reconfigure using --download-hdf5");
712 #endif
713   }
714   PetscFunctionReturn(0);
715 }
716 
717 
718 #undef __FUNCT__
719 #define __FUNCT__ "DMDestroy_Plex"
720 PetscErrorCode DMDestroy_Plex(DM dm)
721 {
722   DM_Plex       *mesh = (DM_Plex*) dm->data;
723   PetscErrorCode ierr;
724 
725   PetscFunctionBegin;
726   if (--mesh->refct > 0) PetscFunctionReturn(0);
727   ierr = PetscSectionDestroy(&mesh->coneSection);CHKERRQ(ierr);
728   ierr = PetscFree(mesh->cones);CHKERRQ(ierr);
729   ierr = PetscFree(mesh->coneOrientations);CHKERRQ(ierr);
730   ierr = PetscSectionDestroy(&mesh->supportSection);CHKERRQ(ierr);
731   ierr = PetscFree(mesh->supports);CHKERRQ(ierr);
732   ierr = PetscFree(mesh->facesTmp);CHKERRQ(ierr);
733   ierr = PetscFree(mesh->tetgenOpts);CHKERRQ(ierr);
734   ierr = PetscFree(mesh->triangleOpts);CHKERRQ(ierr);
735   ierr = PetscPartitionerDestroy(&mesh->partitioner);CHKERRQ(ierr);
736   ierr = DMLabelDestroy(&mesh->subpointMap);CHKERRQ(ierr);
737   ierr = ISDestroy(&mesh->globalVertexNumbers);CHKERRQ(ierr);
738   ierr = ISDestroy(&mesh->globalCellNumbers);CHKERRQ(ierr);
739   ierr = PetscSectionDestroy(&mesh->anchorSection);CHKERRQ(ierr);
740   ierr = ISDestroy(&mesh->anchorIS);CHKERRQ(ierr);
741   ierr = PetscSectionDestroy(&mesh->parentSection);CHKERRQ(ierr);
742   ierr = PetscFree(mesh->parents);CHKERRQ(ierr);
743   ierr = PetscFree(mesh->childIDs);CHKERRQ(ierr);
744   ierr = PetscSectionDestroy(&mesh->childSection);CHKERRQ(ierr);
745   ierr = PetscFree(mesh->children);CHKERRQ(ierr);
746   ierr = DMDestroy(&mesh->referenceTree);CHKERRQ(ierr);
747   ierr = PetscGridHashDestroy(&mesh->lbox);CHKERRQ(ierr);
748   /* This was originally freed in DMDestroy(), but that prevents reference counting of backend objects */
749   ierr = PetscFree(mesh);CHKERRQ(ierr);
750   PetscFunctionReturn(0);
751 }
752 
753 #undef __FUNCT__
754 #define __FUNCT__ "DMCreateMatrix_Plex"
755 PetscErrorCode DMCreateMatrix_Plex(DM dm, Mat *J)
756 {
757   PetscSection   sectionGlobal;
758   PetscInt       bs = -1;
759   PetscInt       localSize;
760   PetscBool      isShell, isBlock, isSeqBlock, isMPIBlock, isSymBlock, isSymSeqBlock, isSymMPIBlock;
761   PetscErrorCode ierr;
762   MatType        mtype;
763   ISLocalToGlobalMapping ltog;
764 
765   PetscFunctionBegin;
766   ierr = MatInitializePackage();CHKERRQ(ierr);
767   mtype = dm->mattype;
768   ierr = DMGetDefaultGlobalSection(dm, &sectionGlobal);CHKERRQ(ierr);
769   /* ierr = PetscSectionGetStorageSize(sectionGlobal, &localSize);CHKERRQ(ierr); */
770   ierr = PetscSectionGetConstrainedStorageSize(sectionGlobal, &localSize);CHKERRQ(ierr);
771   ierr = MatCreate(PetscObjectComm((PetscObject)dm), J);CHKERRQ(ierr);
772   ierr = MatSetSizes(*J, localSize, localSize, PETSC_DETERMINE, PETSC_DETERMINE);CHKERRQ(ierr);
773   ierr = MatSetType(*J, mtype);CHKERRQ(ierr);
774   ierr = MatSetFromOptions(*J);CHKERRQ(ierr);
775   ierr = PetscStrcmp(mtype, MATSHELL, &isShell);CHKERRQ(ierr);
776   ierr = PetscStrcmp(mtype, MATBAIJ, &isBlock);CHKERRQ(ierr);
777   ierr = PetscStrcmp(mtype, MATSEQBAIJ, &isSeqBlock);CHKERRQ(ierr);
778   ierr = PetscStrcmp(mtype, MATMPIBAIJ, &isMPIBlock);CHKERRQ(ierr);
779   ierr = PetscStrcmp(mtype, MATSBAIJ, &isSymBlock);CHKERRQ(ierr);
780   ierr = PetscStrcmp(mtype, MATSEQSBAIJ, &isSymSeqBlock);CHKERRQ(ierr);
781   ierr = PetscStrcmp(mtype, MATMPISBAIJ, &isSymMPIBlock);CHKERRQ(ierr);
782   if (!isShell) {
783     PetscBool fillMatrix = (PetscBool) !dm->prealloc_only;
784     PetscInt *dnz, *onz, *dnzu, *onzu, bsLocal, bsMax, bsMin;
785 
786     if (bs < 0) {
787       if (isBlock || isSeqBlock || isMPIBlock || isSymBlock || isSymSeqBlock || isSymMPIBlock) {
788         PetscInt pStart, pEnd, p, dof, cdof;
789 
790         ierr = PetscSectionGetChart(sectionGlobal, &pStart, &pEnd);CHKERRQ(ierr);
791         for (p = pStart; p < pEnd; ++p) {
792           ierr = PetscSectionGetDof(sectionGlobal, p, &dof);CHKERRQ(ierr);
793           ierr = PetscSectionGetConstraintDof(sectionGlobal, p, &cdof);CHKERRQ(ierr);
794           if (dof-cdof) {
795             if (bs < 0) {
796               bs = dof-cdof;
797             } else if (bs != dof-cdof) {
798               /* Layout does not admit a pointwise block size */
799               bs = 1;
800               break;
801             }
802           }
803         }
804         /* Must have same blocksize on all procs (some might have no points) */
805         bsLocal = bs;
806         ierr = MPIU_Allreduce(&bsLocal, &bsMax, 1, MPIU_INT, MPI_MAX, PetscObjectComm((PetscObject)dm));CHKERRQ(ierr);
807         bsLocal = bs < 0 ? bsMax : bs;
808         ierr = MPIU_Allreduce(&bsLocal, &bsMin, 1, MPIU_INT, MPI_MIN, PetscObjectComm((PetscObject)dm));CHKERRQ(ierr);
809         if (bsMin != bsMax) {
810           bs = 1;
811         } else {
812           bs = bsMax;
813         }
814       } else {
815         bs = 1;
816       }
817     }
818     ierr = PetscCalloc4(localSize/bs, &dnz, localSize/bs, &onz, localSize/bs, &dnzu, localSize/bs, &onzu);CHKERRQ(ierr);
819     ierr = DMPlexPreallocateOperator(dm, bs, dnz, onz, dnzu, onzu, *J, fillMatrix);CHKERRQ(ierr);
820     ierr = PetscFree4(dnz, onz, dnzu, onzu);CHKERRQ(ierr);
821 
822     /* Set localtoglobalmapping on the matrix for MatSetValuesLocal() to work */
823     ierr = DMGetLocalToGlobalMapping(dm,&ltog);CHKERRQ(ierr);
824     ierr = MatSetLocalToGlobalMapping(*J,ltog,ltog);CHKERRQ(ierr);
825   }
826   PetscFunctionReturn(0);
827 }
828 
829 #undef __FUNCT__
830 #define __FUNCT__ "DMPlexGetChart"
831 /*@
832   DMPlexGetChart - Return the interval for all mesh points [pStart, pEnd)
833 
834   Not collective
835 
836   Input Parameter:
837 . mesh - The DMPlex
838 
839   Output Parameters:
840 + pStart - The first mesh point
841 - pEnd   - The upper bound for mesh points
842 
843   Level: beginner
844 
845 .seealso: DMPlexCreate(), DMPlexSetChart()
846 @*/
847 PetscErrorCode DMPlexGetChart(DM dm, PetscInt *pStart, PetscInt *pEnd)
848 {
849   DM_Plex       *mesh = (DM_Plex*) dm->data;
850   PetscErrorCode ierr;
851 
852   PetscFunctionBegin;
853   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
854   ierr = PetscSectionGetChart(mesh->coneSection, pStart, pEnd);CHKERRQ(ierr);
855   PetscFunctionReturn(0);
856 }
857 
858 #undef __FUNCT__
859 #define __FUNCT__ "DMPlexSetChart"
860 /*@
861   DMPlexSetChart - Set the interval for all mesh points [pStart, pEnd)
862 
863   Not collective
864 
865   Input Parameters:
866 + mesh - The DMPlex
867 . pStart - The first mesh point
868 - pEnd   - The upper bound for mesh points
869 
870   Output Parameters:
871 
872   Level: beginner
873 
874 .seealso: DMPlexCreate(), DMPlexGetChart()
875 @*/
876 PetscErrorCode DMPlexSetChart(DM dm, PetscInt pStart, PetscInt pEnd)
877 {
878   DM_Plex       *mesh = (DM_Plex*) dm->data;
879   PetscErrorCode ierr;
880 
881   PetscFunctionBegin;
882   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
883   ierr = PetscSectionSetChart(mesh->coneSection, pStart, pEnd);CHKERRQ(ierr);
884   ierr = PetscSectionSetChart(mesh->supportSection, pStart, pEnd);CHKERRQ(ierr);
885   PetscFunctionReturn(0);
886 }
887 
888 #undef __FUNCT__
889 #define __FUNCT__ "DMPlexGetConeSize"
890 /*@
891   DMPlexGetConeSize - Return the number of in-edges for this point in the Sieve DAG
892 
893   Not collective
894 
895   Input Parameters:
896 + mesh - The DMPlex
897 - p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
898 
899   Output Parameter:
900 . size - The cone size for point p
901 
902   Level: beginner
903 
904 .seealso: DMPlexCreate(), DMPlexSetConeSize(), DMPlexSetChart()
905 @*/
906 PetscErrorCode DMPlexGetConeSize(DM dm, PetscInt p, PetscInt *size)
907 {
908   DM_Plex       *mesh = (DM_Plex*) dm->data;
909   PetscErrorCode ierr;
910 
911   PetscFunctionBegin;
912   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
913   PetscValidPointer(size, 3);
914   ierr = PetscSectionGetDof(mesh->coneSection, p, size);CHKERRQ(ierr);
915   PetscFunctionReturn(0);
916 }
917 
918 #undef __FUNCT__
919 #define __FUNCT__ "DMPlexSetConeSize"
920 /*@
921   DMPlexSetConeSize - Set the number of in-edges for this point in the Sieve DAG
922 
923   Not collective
924 
925   Input Parameters:
926 + mesh - The DMPlex
927 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
928 - size - The cone size for point p
929 
930   Output Parameter:
931 
932   Note:
933   This should be called after DMPlexSetChart().
934 
935   Level: beginner
936 
937 .seealso: DMPlexCreate(), DMPlexGetConeSize(), DMPlexSetChart()
938 @*/
939 PetscErrorCode DMPlexSetConeSize(DM dm, PetscInt p, PetscInt size)
940 {
941   DM_Plex       *mesh = (DM_Plex*) dm->data;
942   PetscErrorCode ierr;
943 
944   PetscFunctionBegin;
945   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
946   ierr = PetscSectionSetDof(mesh->coneSection, p, size);CHKERRQ(ierr);
947 
948   mesh->maxConeSize = PetscMax(mesh->maxConeSize, size);
949   PetscFunctionReturn(0);
950 }
951 
952 #undef __FUNCT__
953 #define __FUNCT__ "DMPlexAddConeSize"
954 /*@
955   DMPlexAddConeSize - Add the given number of in-edges to this point in the Sieve DAG
956 
957   Not collective
958 
959   Input Parameters:
960 + mesh - The DMPlex
961 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
962 - size - The additional cone size for point p
963 
964   Output Parameter:
965 
966   Note:
967   This should be called after DMPlexSetChart().
968 
969   Level: beginner
970 
971 .seealso: DMPlexCreate(), DMPlexSetConeSize(), DMPlexGetConeSize(), DMPlexSetChart()
972 @*/
973 PetscErrorCode DMPlexAddConeSize(DM dm, PetscInt p, PetscInt size)
974 {
975   DM_Plex       *mesh = (DM_Plex*) dm->data;
976   PetscInt       csize;
977   PetscErrorCode ierr;
978 
979   PetscFunctionBegin;
980   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
981   ierr = PetscSectionAddDof(mesh->coneSection, p, size);CHKERRQ(ierr);
982   ierr = PetscSectionGetDof(mesh->coneSection, p, &csize);CHKERRQ(ierr);
983 
984   mesh->maxConeSize = PetscMax(mesh->maxConeSize, csize);
985   PetscFunctionReturn(0);
986 }
987 
988 #undef __FUNCT__
989 #define __FUNCT__ "DMPlexGetCone"
990 /*@C
991   DMPlexGetCone - Return the points on the in-edges for this point in the Sieve DAG
992 
993   Not collective
994 
995   Input Parameters:
996 + mesh - The DMPlex
997 - p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
998 
999   Output Parameter:
1000 . cone - An array of points which are on the in-edges for point p
1001 
1002   Level: beginner
1003 
1004   Fortran Notes:
1005   Since it returns an array, this routine is only available in Fortran 90, and you must
1006   include petsc.h90 in your code.
1007 
1008   You must also call DMPlexRestoreCone() after you finish using the returned array.
1009 
1010 .seealso: DMPlexCreate(), DMPlexSetCone(), DMPlexSetChart()
1011 @*/
1012 PetscErrorCode DMPlexGetCone(DM dm, PetscInt p, const PetscInt *cone[])
1013 {
1014   DM_Plex       *mesh = (DM_Plex*) dm->data;
1015   PetscInt       off;
1016   PetscErrorCode ierr;
1017 
1018   PetscFunctionBegin;
1019   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1020   PetscValidPointer(cone, 3);
1021   ierr  = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
1022   *cone = &mesh->cones[off];
1023   PetscFunctionReturn(0);
1024 }
1025 
1026 #undef __FUNCT__
1027 #define __FUNCT__ "DMPlexSetCone"
1028 /*@
1029   DMPlexSetCone - Set the points on the in-edges for this point in the Sieve DAG
1030 
1031   Not collective
1032 
1033   Input Parameters:
1034 + mesh - The DMPlex
1035 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
1036 - cone - An array of points which are on the in-edges for point p
1037 
1038   Output Parameter:
1039 
1040   Note:
1041   This should be called after all calls to DMPlexSetConeSize() and DMSetUp().
1042 
1043   Level: beginner
1044 
1045 .seealso: DMPlexCreate(), DMPlexGetCone(), DMPlexSetChart(), DMPlexSetConeSize(), DMSetUp()
1046 @*/
1047 PetscErrorCode DMPlexSetCone(DM dm, PetscInt p, const PetscInt cone[])
1048 {
1049   DM_Plex       *mesh = (DM_Plex*) dm->data;
1050   PetscInt       pStart, pEnd;
1051   PetscInt       dof, off, c;
1052   PetscErrorCode ierr;
1053 
1054   PetscFunctionBegin;
1055   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1056   ierr = PetscSectionGetChart(mesh->coneSection, &pStart, &pEnd);CHKERRQ(ierr);
1057   ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
1058   if (dof) PetscValidPointer(cone, 3);
1059   ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
1060   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);
1061   for (c = 0; c < dof; ++c) {
1062     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);
1063     mesh->cones[off+c] = cone[c];
1064   }
1065   PetscFunctionReturn(0);
1066 }
1067 
1068 #undef __FUNCT__
1069 #define __FUNCT__ "DMPlexGetConeOrientation"
1070 /*@C
1071   DMPlexGetConeOrientation - Return the orientations on the in-edges for this point in the Sieve DAG
1072 
1073   Not collective
1074 
1075   Input Parameters:
1076 + mesh - The DMPlex
1077 - p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
1078 
1079   Output Parameter:
1080 . coneOrientation - An array of orientations which are on the in-edges for point p. An orientation is an
1081                     integer giving the prescription for cone traversal. If it is negative, the cone is
1082                     traversed in the opposite direction. Its value 'o', or if negative '-(o+1)', gives
1083                     the index of the cone point on which to start.
1084 
1085   Level: beginner
1086 
1087   Fortran Notes:
1088   Since it returns an array, this routine is only available in Fortran 90, and you must
1089   include petsc.h90 in your code.
1090 
1091   You must also call DMPlexRestoreConeOrientation() after you finish using the returned array.
1092 
1093 .seealso: DMPlexCreate(), DMPlexGetCone(), DMPlexSetCone(), DMPlexSetChart()
1094 @*/
1095 PetscErrorCode DMPlexGetConeOrientation(DM dm, PetscInt p, const PetscInt *coneOrientation[])
1096 {
1097   DM_Plex       *mesh = (DM_Plex*) dm->data;
1098   PetscInt       off;
1099   PetscErrorCode ierr;
1100 
1101   PetscFunctionBegin;
1102   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1103 #if defined(PETSC_USE_DEBUG)
1104   {
1105     PetscInt dof;
1106     ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
1107     if (dof) PetscValidPointer(coneOrientation, 3);
1108   }
1109 #endif
1110   ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
1111 
1112   *coneOrientation = &mesh->coneOrientations[off];
1113   PetscFunctionReturn(0);
1114 }
1115 
1116 #undef __FUNCT__
1117 #define __FUNCT__ "DMPlexSetConeOrientation"
1118 /*@
1119   DMPlexSetConeOrientation - Set the orientations on the in-edges for this point in the Sieve DAG
1120 
1121   Not collective
1122 
1123   Input Parameters:
1124 + mesh - The DMPlex
1125 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
1126 - coneOrientation - An array of orientations which are on the in-edges for point p. An orientation is an
1127                     integer giving the prescription for cone traversal. If it is negative, the cone is
1128                     traversed in the opposite direction. Its value 'o', or if negative '-(o+1)', gives
1129                     the index of the cone point on which to start.
1130 
1131   Output Parameter:
1132 
1133   Note:
1134   This should be called after all calls to DMPlexSetConeSize() and DMSetUp().
1135 
1136   Level: beginner
1137 
1138 .seealso: DMPlexCreate(), DMPlexGetConeOrientation(), DMPlexSetCone(), DMPlexSetChart(), DMPlexSetConeSize(), DMSetUp()
1139 @*/
1140 PetscErrorCode DMPlexSetConeOrientation(DM dm, PetscInt p, const PetscInt coneOrientation[])
1141 {
1142   DM_Plex       *mesh = (DM_Plex*) dm->data;
1143   PetscInt       pStart, pEnd;
1144   PetscInt       dof, off, c;
1145   PetscErrorCode ierr;
1146 
1147   PetscFunctionBegin;
1148   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1149   ierr = PetscSectionGetChart(mesh->coneSection, &pStart, &pEnd);CHKERRQ(ierr);
1150   ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
1151   if (dof) PetscValidPointer(coneOrientation, 3);
1152   ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
1153   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);
1154   for (c = 0; c < dof; ++c) {
1155     PetscInt cdof, o = coneOrientation[c];
1156 
1157     ierr = PetscSectionGetDof(mesh->coneSection, mesh->cones[off+c], &cdof);CHKERRQ(ierr);
1158     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);
1159     mesh->coneOrientations[off+c] = o;
1160   }
1161   PetscFunctionReturn(0);
1162 }
1163 
1164 #undef __FUNCT__
1165 #define __FUNCT__ "DMPlexInsertCone"
1166 PetscErrorCode DMPlexInsertCone(DM dm, PetscInt p, PetscInt conePos, PetscInt conePoint)
1167 {
1168   DM_Plex       *mesh = (DM_Plex*) dm->data;
1169   PetscInt       pStart, pEnd;
1170   PetscInt       dof, off;
1171   PetscErrorCode ierr;
1172 
1173   PetscFunctionBegin;
1174   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1175   ierr = PetscSectionGetChart(mesh->coneSection, &pStart, &pEnd);CHKERRQ(ierr);
1176   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);
1177   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);
1178   ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
1179   ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
1180   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);
1181   mesh->cones[off+conePos] = conePoint;
1182   PetscFunctionReturn(0);
1183 }
1184 
1185 #undef __FUNCT__
1186 #define __FUNCT__ "DMPlexInsertConeOrientation"
1187 PetscErrorCode DMPlexInsertConeOrientation(DM dm, PetscInt p, PetscInt conePos, PetscInt coneOrientation)
1188 {
1189   DM_Plex       *mesh = (DM_Plex*) dm->data;
1190   PetscInt       pStart, pEnd;
1191   PetscInt       dof, off;
1192   PetscErrorCode ierr;
1193 
1194   PetscFunctionBegin;
1195   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1196   ierr = PetscSectionGetChart(mesh->coneSection, &pStart, &pEnd);CHKERRQ(ierr);
1197   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);
1198   ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
1199   ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
1200   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);
1201   mesh->coneOrientations[off+conePos] = coneOrientation;
1202   PetscFunctionReturn(0);
1203 }
1204 
1205 #undef __FUNCT__
1206 #define __FUNCT__ "DMPlexGetSupportSize"
1207 /*@
1208   DMPlexGetSupportSize - Return the number of out-edges for this point in the Sieve DAG
1209 
1210   Not collective
1211 
1212   Input Parameters:
1213 + mesh - The DMPlex
1214 - p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
1215 
1216   Output Parameter:
1217 . size - The support size for point p
1218 
1219   Level: beginner
1220 
1221 .seealso: DMPlexCreate(), DMPlexSetConeSize(), DMPlexSetChart(), DMPlexGetConeSize()
1222 @*/
1223 PetscErrorCode DMPlexGetSupportSize(DM dm, PetscInt p, PetscInt *size)
1224 {
1225   DM_Plex       *mesh = (DM_Plex*) dm->data;
1226   PetscErrorCode ierr;
1227 
1228   PetscFunctionBegin;
1229   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1230   PetscValidPointer(size, 3);
1231   ierr = PetscSectionGetDof(mesh->supportSection, p, size);CHKERRQ(ierr);
1232   PetscFunctionReturn(0);
1233 }
1234 
1235 #undef __FUNCT__
1236 #define __FUNCT__ "DMPlexSetSupportSize"
1237 /*@
1238   DMPlexSetSupportSize - Set the number of out-edges for this point in the Sieve DAG
1239 
1240   Not collective
1241 
1242   Input Parameters:
1243 + mesh - The DMPlex
1244 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
1245 - size - The support size for point p
1246 
1247   Output Parameter:
1248 
1249   Note:
1250   This should be called after DMPlexSetChart().
1251 
1252   Level: beginner
1253 
1254 .seealso: DMPlexCreate(), DMPlexGetSupportSize(), DMPlexSetChart()
1255 @*/
1256 PetscErrorCode DMPlexSetSupportSize(DM dm, PetscInt p, PetscInt size)
1257 {
1258   DM_Plex       *mesh = (DM_Plex*) dm->data;
1259   PetscErrorCode ierr;
1260 
1261   PetscFunctionBegin;
1262   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1263   ierr = PetscSectionSetDof(mesh->supportSection, p, size);CHKERRQ(ierr);
1264 
1265   mesh->maxSupportSize = PetscMax(mesh->maxSupportSize, size);
1266   PetscFunctionReturn(0);
1267 }
1268 
1269 #undef __FUNCT__
1270 #define __FUNCT__ "DMPlexGetSupport"
1271 /*@C
1272   DMPlexGetSupport - Return the points on the out-edges for this point in the Sieve DAG
1273 
1274   Not collective
1275 
1276   Input Parameters:
1277 + mesh - The DMPlex
1278 - p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
1279 
1280   Output Parameter:
1281 . support - An array of points which are on the out-edges for point p
1282 
1283   Level: beginner
1284 
1285   Fortran Notes:
1286   Since it returns an array, this routine is only available in Fortran 90, and you must
1287   include petsc.h90 in your code.
1288 
1289   You must also call DMPlexRestoreSupport() after you finish using the returned array.
1290 
1291 .seealso: DMPlexCreate(), DMPlexSetCone(), DMPlexSetChart(), DMPlexGetCone()
1292 @*/
1293 PetscErrorCode DMPlexGetSupport(DM dm, PetscInt p, const PetscInt *support[])
1294 {
1295   DM_Plex       *mesh = (DM_Plex*) dm->data;
1296   PetscInt       off;
1297   PetscErrorCode ierr;
1298 
1299   PetscFunctionBegin;
1300   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1301   PetscValidPointer(support, 3);
1302   ierr     = PetscSectionGetOffset(mesh->supportSection, p, &off);CHKERRQ(ierr);
1303   *support = &mesh->supports[off];
1304   PetscFunctionReturn(0);
1305 }
1306 
1307 #undef __FUNCT__
1308 #define __FUNCT__ "DMPlexSetSupport"
1309 /*@
1310   DMPlexSetSupport - Set the points on the out-edges for this point in the Sieve DAG
1311 
1312   Not collective
1313 
1314   Input Parameters:
1315 + mesh - The DMPlex
1316 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
1317 - support - An array of points which are on the in-edges for point p
1318 
1319   Output Parameter:
1320 
1321   Note:
1322   This should be called after all calls to DMPlexSetSupportSize() and DMSetUp().
1323 
1324   Level: beginner
1325 
1326 .seealso: DMPlexCreate(), DMPlexGetSupport(), DMPlexSetChart(), DMPlexSetSupportSize(), DMSetUp()
1327 @*/
1328 PetscErrorCode DMPlexSetSupport(DM dm, PetscInt p, const PetscInt support[])
1329 {
1330   DM_Plex       *mesh = (DM_Plex*) dm->data;
1331   PetscInt       pStart, pEnd;
1332   PetscInt       dof, off, c;
1333   PetscErrorCode ierr;
1334 
1335   PetscFunctionBegin;
1336   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1337   ierr = PetscSectionGetChart(mesh->supportSection, &pStart, &pEnd);CHKERRQ(ierr);
1338   ierr = PetscSectionGetDof(mesh->supportSection, p, &dof);CHKERRQ(ierr);
1339   if (dof) PetscValidPointer(support, 3);
1340   ierr = PetscSectionGetOffset(mesh->supportSection, p, &off);CHKERRQ(ierr);
1341   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);
1342   for (c = 0; c < dof; ++c) {
1343     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);
1344     mesh->supports[off+c] = support[c];
1345   }
1346   PetscFunctionReturn(0);
1347 }
1348 
1349 #undef __FUNCT__
1350 #define __FUNCT__ "DMPlexInsertSupport"
1351 PetscErrorCode DMPlexInsertSupport(DM dm, PetscInt p, PetscInt supportPos, PetscInt supportPoint)
1352 {
1353   DM_Plex       *mesh = (DM_Plex*) dm->data;
1354   PetscInt       pStart, pEnd;
1355   PetscInt       dof, off;
1356   PetscErrorCode ierr;
1357 
1358   PetscFunctionBegin;
1359   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1360   ierr = PetscSectionGetChart(mesh->supportSection, &pStart, &pEnd);CHKERRQ(ierr);
1361   ierr = PetscSectionGetDof(mesh->supportSection, p, &dof);CHKERRQ(ierr);
1362   ierr = PetscSectionGetOffset(mesh->supportSection, p, &off);CHKERRQ(ierr);
1363   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);
1364   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);
1365   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);
1366   mesh->supports[off+supportPos] = supportPoint;
1367   PetscFunctionReturn(0);
1368 }
1369 
1370 #undef __FUNCT__
1371 #define __FUNCT__ "DMPlexGetTransitiveClosure"
1372 /*@C
1373   DMPlexGetTransitiveClosure - Return the points on the transitive closure of the in-edges or out-edges for this point in the Sieve DAG
1374 
1375   Not collective
1376 
1377   Input Parameters:
1378 + mesh - The DMPlex
1379 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
1380 . useCone - PETSC_TRUE for in-edges,  otherwise use out-edges
1381 - points - If points is NULL on input, internal storage will be returned, otherwise the provided array is used
1382 
1383   Output Parameters:
1384 + numPoints - The number of points in the closure, so points[] is of size 2*numPoints
1385 - points - The points and point orientations, interleaved as pairs [p0, o0, p1, o1, ...]
1386 
1387   Note:
1388   If using internal storage (points is NULL on input), each call overwrites the last output.
1389 
1390   Fortran Notes:
1391   Since it returns an array, this routine is only available in Fortran 90, and you must
1392   include petsc.h90 in your code.
1393 
1394   The numPoints argument is not present in the Fortran 90 binding since it is internal to the array.
1395 
1396   Level: beginner
1397 
1398 .seealso: DMPlexRestoreTransitiveClosure(), DMPlexCreate(), DMPlexSetCone(), DMPlexSetChart(), DMPlexGetCone()
1399 @*/
1400 PetscErrorCode DMPlexGetTransitiveClosure(DM dm, PetscInt p, PetscBool useCone, PetscInt *numPoints, PetscInt *points[])
1401 {
1402   DM_Plex        *mesh = (DM_Plex*) dm->data;
1403   PetscInt       *closure, *fifo;
1404   const PetscInt *tmp = NULL, *tmpO = NULL;
1405   PetscInt        tmpSize, t;
1406   PetscInt        depth       = 0, maxSize;
1407   PetscInt        closureSize = 2, fifoSize = 0, fifoStart = 0;
1408   PetscErrorCode  ierr;
1409 
1410   PetscFunctionBegin;
1411   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1412   ierr    = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
1413   /* This is only 1-level */
1414   if (useCone) {
1415     ierr = DMPlexGetConeSize(dm, p, &tmpSize);CHKERRQ(ierr);
1416     ierr = DMPlexGetCone(dm, p, &tmp);CHKERRQ(ierr);
1417     ierr = DMPlexGetConeOrientation(dm, p, &tmpO);CHKERRQ(ierr);
1418   } else {
1419     ierr = DMPlexGetSupportSize(dm, p, &tmpSize);CHKERRQ(ierr);
1420     ierr = DMPlexGetSupport(dm, p, &tmp);CHKERRQ(ierr);
1421   }
1422   if (depth == 1) {
1423     if (*points) {
1424       closure = *points;
1425     } else {
1426       maxSize = 2*(PetscMax(mesh->maxConeSize, mesh->maxSupportSize)+1);
1427       ierr = DMGetWorkArray(dm, maxSize, PETSC_INT, &closure);CHKERRQ(ierr);
1428     }
1429     closure[0] = p; closure[1] = 0;
1430     for (t = 0; t < tmpSize; ++t, closureSize += 2) {
1431       closure[closureSize]   = tmp[t];
1432       closure[closureSize+1] = tmpO ? tmpO[t] : 0;
1433     }
1434     if (numPoints) *numPoints = closureSize/2;
1435     if (points)    *points    = closure;
1436     PetscFunctionReturn(0);
1437   }
1438   {
1439     PetscInt c, coneSeries, s,supportSeries;
1440 
1441     c = mesh->maxConeSize;
1442     coneSeries = (c > 1) ? ((PetscPowInt(c,depth+1)-1)/(c-1)) : depth+1;
1443     s = mesh->maxSupportSize;
1444     supportSeries = (s > 1) ? ((PetscPowInt(s,depth+1)-1)/(s-1)) : depth+1;
1445     maxSize = 2*PetscMax(coneSeries,supportSeries);
1446   }
1447   ierr    = DMGetWorkArray(dm, maxSize, PETSC_INT, &fifo);CHKERRQ(ierr);
1448   if (*points) {
1449     closure = *points;
1450   } else {
1451     ierr = DMGetWorkArray(dm, maxSize, PETSC_INT, &closure);CHKERRQ(ierr);
1452   }
1453   closure[0] = p; closure[1] = 0;
1454   for (t = 0; t < tmpSize; ++t, closureSize += 2, fifoSize += 2) {
1455     const PetscInt cp = tmp[t];
1456     const PetscInt co = tmpO ? tmpO[t] : 0;
1457 
1458     closure[closureSize]   = cp;
1459     closure[closureSize+1] = co;
1460     fifo[fifoSize]         = cp;
1461     fifo[fifoSize+1]       = co;
1462   }
1463   /* Should kick out early when depth is reached, rather than checking all vertices for empty cones */
1464   while (fifoSize - fifoStart) {
1465     const PetscInt q   = fifo[fifoStart];
1466     const PetscInt o   = fifo[fifoStart+1];
1467     const PetscInt rev = o >= 0 ? 0 : 1;
1468     const PetscInt off = rev ? -(o+1) : o;
1469 
1470     if (useCone) {
1471       ierr = DMPlexGetConeSize(dm, q, &tmpSize);CHKERRQ(ierr);
1472       ierr = DMPlexGetCone(dm, q, &tmp);CHKERRQ(ierr);
1473       ierr = DMPlexGetConeOrientation(dm, q, &tmpO);CHKERRQ(ierr);
1474     } else {
1475       ierr = DMPlexGetSupportSize(dm, q, &tmpSize);CHKERRQ(ierr);
1476       ierr = DMPlexGetSupport(dm, q, &tmp);CHKERRQ(ierr);
1477       tmpO = NULL;
1478     }
1479     for (t = 0; t < tmpSize; ++t) {
1480       const PetscInt i  = ((rev ? tmpSize-t : t) + off)%tmpSize;
1481       const PetscInt cp = tmp[i];
1482       /* Must propogate orientation: When we reverse orientation, we both reverse the direction of iteration and start at the other end of the chain. */
1483       /* HACK: It is worse to get the size here, than to change the interpretation of -(*+1)
1484        const PetscInt co = tmpO ? (rev ? -(tmpO[i]+1) : tmpO[i]) : 0; */
1485       PetscInt       co = tmpO ? tmpO[i] : 0;
1486       PetscInt       c;
1487 
1488       if (rev) {
1489         PetscInt childSize, coff;
1490         ierr = DMPlexGetConeSize(dm, cp, &childSize);CHKERRQ(ierr);
1491         coff = tmpO[i] < 0 ? -(tmpO[i]+1) : tmpO[i];
1492         co   = childSize ? -(((coff+childSize-1)%childSize)+1) : 0;
1493       }
1494       /* Check for duplicate */
1495       for (c = 0; c < closureSize; c += 2) {
1496         if (closure[c] == cp) break;
1497       }
1498       if (c == closureSize) {
1499         closure[closureSize]   = cp;
1500         closure[closureSize+1] = co;
1501         fifo[fifoSize]         = cp;
1502         fifo[fifoSize+1]       = co;
1503         closureSize           += 2;
1504         fifoSize              += 2;
1505       }
1506     }
1507     fifoStart += 2;
1508   }
1509   if (numPoints) *numPoints = closureSize/2;
1510   if (points)    *points    = closure;
1511   ierr = DMRestoreWorkArray(dm, maxSize, PETSC_INT, &fifo);CHKERRQ(ierr);
1512   PetscFunctionReturn(0);
1513 }
1514 
1515 #undef __FUNCT__
1516 #define __FUNCT__ "DMPlexGetTransitiveClosure_Internal"
1517 /*@C
1518   DMPlexGetTransitiveClosure_Internal - Return the points on the transitive closure of the in-edges or out-edges for this point in the Sieve DAG with a specified initial orientation
1519 
1520   Not collective
1521 
1522   Input Parameters:
1523 + mesh - The DMPlex
1524 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
1525 . orientation - The orientation of the point
1526 . useCone - PETSC_TRUE for in-edges,  otherwise use out-edges
1527 - points - If points is NULL on input, internal storage will be returned, otherwise the provided array is used
1528 
1529   Output Parameters:
1530 + numPoints - The number of points in the closure, so points[] is of size 2*numPoints
1531 - points - The points and point orientations, interleaved as pairs [p0, o0, p1, o1, ...]
1532 
1533   Note:
1534   If using internal storage (points is NULL on input), each call overwrites the last output.
1535 
1536   Fortran Notes:
1537   Since it returns an array, this routine is only available in Fortran 90, and you must
1538   include petsc.h90 in your code.
1539 
1540   The numPoints argument is not present in the Fortran 90 binding since it is internal to the array.
1541 
1542   Level: beginner
1543 
1544 .seealso: DMPlexRestoreTransitiveClosure(), DMPlexCreate(), DMPlexSetCone(), DMPlexSetChart(), DMPlexGetCone()
1545 @*/
1546 PetscErrorCode DMPlexGetTransitiveClosure_Internal(DM dm, PetscInt p, PetscInt ornt, PetscBool useCone, PetscInt *numPoints, PetscInt *points[])
1547 {
1548   DM_Plex        *mesh = (DM_Plex*) dm->data;
1549   PetscInt       *closure, *fifo;
1550   const PetscInt *tmp = NULL, *tmpO = NULL;
1551   PetscInt        tmpSize, t;
1552   PetscInt        depth       = 0, maxSize;
1553   PetscInt        closureSize = 2, fifoSize = 0, fifoStart = 0;
1554   PetscErrorCode  ierr;
1555 
1556   PetscFunctionBegin;
1557   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1558   ierr    = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
1559   /* This is only 1-level */
1560   if (useCone) {
1561     ierr = DMPlexGetConeSize(dm, p, &tmpSize);CHKERRQ(ierr);
1562     ierr = DMPlexGetCone(dm, p, &tmp);CHKERRQ(ierr);
1563     ierr = DMPlexGetConeOrientation(dm, p, &tmpO);CHKERRQ(ierr);
1564   } else {
1565     ierr = DMPlexGetSupportSize(dm, p, &tmpSize);CHKERRQ(ierr);
1566     ierr = DMPlexGetSupport(dm, p, &tmp);CHKERRQ(ierr);
1567   }
1568   if (depth == 1) {
1569     if (*points) {
1570       closure = *points;
1571     } else {
1572       maxSize = 2*(PetscMax(mesh->maxConeSize, mesh->maxSupportSize)+1);
1573       ierr = DMGetWorkArray(dm, maxSize, PETSC_INT, &closure);CHKERRQ(ierr);
1574     }
1575     closure[0] = p; closure[1] = ornt;
1576     for (t = 0; t < tmpSize; ++t, closureSize += 2) {
1577       const PetscInt i = ornt >= 0 ? (t+ornt)%tmpSize : (-(ornt+1) + tmpSize-t)%tmpSize;
1578       closure[closureSize]   = tmp[i];
1579       closure[closureSize+1] = tmpO ? tmpO[i] : 0;
1580     }
1581     if (numPoints) *numPoints = closureSize/2;
1582     if (points)    *points    = closure;
1583     PetscFunctionReturn(0);
1584   }
1585   {
1586     PetscInt c, coneSeries, s,supportSeries;
1587 
1588     c = mesh->maxConeSize;
1589     coneSeries = (c > 1) ? ((PetscPowInt(c,depth+1)-1)/(c-1)) : depth+1;
1590     s = mesh->maxSupportSize;
1591     supportSeries = (s > 1) ? ((PetscPowInt(s,depth+1)-1)/(s-1)) : depth+1;
1592     maxSize = 2*PetscMax(coneSeries,supportSeries);
1593   }
1594   ierr    = DMGetWorkArray(dm, maxSize, PETSC_INT, &fifo);CHKERRQ(ierr);
1595   if (*points) {
1596     closure = *points;
1597   } else {
1598     ierr = DMGetWorkArray(dm, maxSize, PETSC_INT, &closure);CHKERRQ(ierr);
1599   }
1600   closure[0] = p; closure[1] = ornt;
1601   for (t = 0; t < tmpSize; ++t, closureSize += 2, fifoSize += 2) {
1602     const PetscInt i  = ornt >= 0 ? (t+ornt)%tmpSize : (-(ornt+1) + tmpSize-t)%tmpSize;
1603     const PetscInt cp = tmp[i];
1604     PetscInt       co = tmpO ? tmpO[i] : 0;
1605 
1606     if (ornt < 0) {
1607       PetscInt childSize, coff;
1608       ierr = DMPlexGetConeSize(dm, cp, &childSize);CHKERRQ(ierr);
1609       coff = tmpO[i] < 0 ? -(tmpO[i]+1) : tmpO[i];
1610       co   = childSize ? -(((coff+childSize-1)%childSize)+1) : 0;
1611     }
1612     closure[closureSize]   = cp;
1613     closure[closureSize+1] = co;
1614     fifo[fifoSize]         = cp;
1615     fifo[fifoSize+1]       = co;
1616   }
1617   /* Should kick out early when depth is reached, rather than checking all vertices for empty cones */
1618   while (fifoSize - fifoStart) {
1619     const PetscInt q   = fifo[fifoStart];
1620     const PetscInt o   = fifo[fifoStart+1];
1621     const PetscInt rev = o >= 0 ? 0 : 1;
1622     const PetscInt off = rev ? -(o+1) : o;
1623 
1624     if (useCone) {
1625       ierr = DMPlexGetConeSize(dm, q, &tmpSize);CHKERRQ(ierr);
1626       ierr = DMPlexGetCone(dm, q, &tmp);CHKERRQ(ierr);
1627       ierr = DMPlexGetConeOrientation(dm, q, &tmpO);CHKERRQ(ierr);
1628     } else {
1629       ierr = DMPlexGetSupportSize(dm, q, &tmpSize);CHKERRQ(ierr);
1630       ierr = DMPlexGetSupport(dm, q, &tmp);CHKERRQ(ierr);
1631       tmpO = NULL;
1632     }
1633     for (t = 0; t < tmpSize; ++t) {
1634       const PetscInt i  = ((rev ? tmpSize-t : t) + off)%tmpSize;
1635       const PetscInt cp = tmp[i];
1636       /* Must propogate orientation: When we reverse orientation, we both reverse the direction of iteration and start at the other end of the chain. */
1637       /* HACK: It is worse to get the size here, than to change the interpretation of -(*+1)
1638        const PetscInt co = tmpO ? (rev ? -(tmpO[i]+1) : tmpO[i]) : 0; */
1639       PetscInt       co = tmpO ? tmpO[i] : 0;
1640       PetscInt       c;
1641 
1642       if (rev) {
1643         PetscInt childSize, coff;
1644         ierr = DMPlexGetConeSize(dm, cp, &childSize);CHKERRQ(ierr);
1645         coff = tmpO[i] < 0 ? -(tmpO[i]+1) : tmpO[i];
1646         co   = childSize ? -(((coff+childSize-1)%childSize)+1) : 0;
1647       }
1648       /* Check for duplicate */
1649       for (c = 0; c < closureSize; c += 2) {
1650         if (closure[c] == cp) break;
1651       }
1652       if (c == closureSize) {
1653         closure[closureSize]   = cp;
1654         closure[closureSize+1] = co;
1655         fifo[fifoSize]         = cp;
1656         fifo[fifoSize+1]       = co;
1657         closureSize           += 2;
1658         fifoSize              += 2;
1659       }
1660     }
1661     fifoStart += 2;
1662   }
1663   if (numPoints) *numPoints = closureSize/2;
1664   if (points)    *points    = closure;
1665   ierr = DMRestoreWorkArray(dm, maxSize, PETSC_INT, &fifo);CHKERRQ(ierr);
1666   PetscFunctionReturn(0);
1667 }
1668 
1669 #undef __FUNCT__
1670 #define __FUNCT__ "DMPlexRestoreTransitiveClosure"
1671 /*@C
1672   DMPlexRestoreTransitiveClosure - Restore the array of points on the transitive closure of the in-edges or out-edges for this point in the Sieve DAG
1673 
1674   Not collective
1675 
1676   Input Parameters:
1677 + mesh - The DMPlex
1678 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
1679 . useCone - PETSC_TRUE for in-edges,  otherwise use out-edges
1680 . numPoints - The number of points in the closure, so points[] is of size 2*numPoints, zeroed on exit
1681 - points - The points and point orientations, interleaved as pairs [p0, o0, p1, o1, ...], zeroed on exit
1682 
1683   Note:
1684   If not using internal storage (points is not NULL on input), this call is unnecessary
1685 
1686   Fortran Notes:
1687   Since it returns an array, this routine is only available in Fortran 90, and you must
1688   include petsc.h90 in your code.
1689 
1690   The numPoints argument is not present in the Fortran 90 binding since it is internal to the array.
1691 
1692   Level: beginner
1693 
1694 .seealso: DMPlexGetTransitiveClosure(), DMPlexCreate(), DMPlexSetCone(), DMPlexSetChart(), DMPlexGetCone()
1695 @*/
1696 PetscErrorCode DMPlexRestoreTransitiveClosure(DM dm, PetscInt p, PetscBool useCone, PetscInt *numPoints, PetscInt *points[])
1697 {
1698   PetscErrorCode ierr;
1699 
1700   PetscFunctionBegin;
1701   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1702   if (numPoints) PetscValidIntPointer(numPoints,4);
1703   if (points) PetscValidPointer(points,5);
1704   ierr = DMRestoreWorkArray(dm, 0, PETSC_INT, points);CHKERRQ(ierr);
1705   if (numPoints) *numPoints = 0;
1706   PetscFunctionReturn(0);
1707 }
1708 
1709 #undef __FUNCT__
1710 #define __FUNCT__ "DMPlexGetMaxSizes"
1711 /*@
1712   DMPlexGetMaxSizes - Return the maximum number of in-edges (cone) and out-edges (support) for any point in the Sieve DAG
1713 
1714   Not collective
1715 
1716   Input Parameter:
1717 . mesh - The DMPlex
1718 
1719   Output Parameters:
1720 + maxConeSize - The maximum number of in-edges
1721 - maxSupportSize - The maximum number of out-edges
1722 
1723   Level: beginner
1724 
1725 .seealso: DMPlexCreate(), DMPlexSetConeSize(), DMPlexSetChart()
1726 @*/
1727 PetscErrorCode DMPlexGetMaxSizes(DM dm, PetscInt *maxConeSize, PetscInt *maxSupportSize)
1728 {
1729   DM_Plex *mesh = (DM_Plex*) dm->data;
1730 
1731   PetscFunctionBegin;
1732   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1733   if (maxConeSize)    *maxConeSize    = mesh->maxConeSize;
1734   if (maxSupportSize) *maxSupportSize = mesh->maxSupportSize;
1735   PetscFunctionReturn(0);
1736 }
1737 
1738 #undef __FUNCT__
1739 #define __FUNCT__ "DMSetUp_Plex"
1740 PetscErrorCode DMSetUp_Plex(DM dm)
1741 {
1742   DM_Plex       *mesh = (DM_Plex*) dm->data;
1743   PetscInt       size;
1744   PetscErrorCode ierr;
1745 
1746   PetscFunctionBegin;
1747   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1748   ierr = PetscSectionSetUp(mesh->coneSection);CHKERRQ(ierr);
1749   ierr = PetscSectionGetStorageSize(mesh->coneSection, &size);CHKERRQ(ierr);
1750   ierr = PetscMalloc1(size, &mesh->cones);CHKERRQ(ierr);
1751   ierr = PetscCalloc1(size, &mesh->coneOrientations);CHKERRQ(ierr);
1752   if (mesh->maxSupportSize) {
1753     ierr = PetscSectionSetUp(mesh->supportSection);CHKERRQ(ierr);
1754     ierr = PetscSectionGetStorageSize(mesh->supportSection, &size);CHKERRQ(ierr);
1755     ierr = PetscMalloc1(size, &mesh->supports);CHKERRQ(ierr);
1756   }
1757   PetscFunctionReturn(0);
1758 }
1759 
1760 #undef __FUNCT__
1761 #define __FUNCT__ "DMCreateSubDM_Plex"
1762 PetscErrorCode DMCreateSubDM_Plex(DM dm, PetscInt numFields, PetscInt fields[], IS *is, DM *subdm)
1763 {
1764   PetscErrorCode ierr;
1765 
1766   PetscFunctionBegin;
1767   if (subdm) {ierr = DMClone(dm, subdm);CHKERRQ(ierr);}
1768   ierr = DMCreateSubDM_Section_Private(dm, numFields, fields, is, subdm);CHKERRQ(ierr);
1769   PetscFunctionReturn(0);
1770 }
1771 
1772 #undef __FUNCT__
1773 #define __FUNCT__ "DMPlexSymmetrize"
1774 /*@
1775   DMPlexSymmetrize - Creates support (out-edge) information from cone (in-edge) inoformation
1776 
1777   Not collective
1778 
1779   Input Parameter:
1780 . mesh - The DMPlex
1781 
1782   Output Parameter:
1783 
1784   Note:
1785   This should be called after all calls to DMPlexSetCone()
1786 
1787   Level: beginner
1788 
1789 .seealso: DMPlexCreate(), DMPlexSetChart(), DMPlexSetConeSize(), DMPlexSetCone()
1790 @*/
1791 PetscErrorCode DMPlexSymmetrize(DM dm)
1792 {
1793   DM_Plex       *mesh = (DM_Plex*) dm->data;
1794   PetscInt      *offsets;
1795   PetscInt       supportSize;
1796   PetscInt       pStart, pEnd, p;
1797   PetscErrorCode ierr;
1798 
1799   PetscFunctionBegin;
1800   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1801   if (mesh->supports) SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONGSTATE, "Supports were already setup in this DMPlex");
1802   /* Calculate support sizes */
1803   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
1804   for (p = pStart; p < pEnd; ++p) {
1805     PetscInt dof, off, c;
1806 
1807     ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
1808     ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
1809     for (c = off; c < off+dof; ++c) {
1810       ierr = PetscSectionAddDof(mesh->supportSection, mesh->cones[c], 1);CHKERRQ(ierr);
1811     }
1812   }
1813   for (p = pStart; p < pEnd; ++p) {
1814     PetscInt dof;
1815 
1816     ierr = PetscSectionGetDof(mesh->supportSection, p, &dof);CHKERRQ(ierr);
1817 
1818     mesh->maxSupportSize = PetscMax(mesh->maxSupportSize, dof);
1819   }
1820   ierr = PetscSectionSetUp(mesh->supportSection);CHKERRQ(ierr);
1821   /* Calculate supports */
1822   ierr = PetscSectionGetStorageSize(mesh->supportSection, &supportSize);CHKERRQ(ierr);
1823   ierr = PetscMalloc1(supportSize, &mesh->supports);CHKERRQ(ierr);
1824   ierr = PetscCalloc1(pEnd - pStart, &offsets);CHKERRQ(ierr);
1825   for (p = pStart; p < pEnd; ++p) {
1826     PetscInt dof, off, c;
1827 
1828     ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
1829     ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
1830     for (c = off; c < off+dof; ++c) {
1831       const PetscInt q = mesh->cones[c];
1832       PetscInt       offS;
1833 
1834       ierr = PetscSectionGetOffset(mesh->supportSection, q, &offS);CHKERRQ(ierr);
1835 
1836       mesh->supports[offS+offsets[q]] = p;
1837       ++offsets[q];
1838     }
1839   }
1840   ierr = PetscFree(offsets);CHKERRQ(ierr);
1841   PetscFunctionReturn(0);
1842 }
1843 
1844 #undef __FUNCT__
1845 #define __FUNCT__ "DMPlexStratify"
1846 /*@
1847   DMPlexStratify - The Sieve DAG for most topologies is a graded poset (http://en.wikipedia.org/wiki/Graded_poset), and
1848   can be illustrated by Hasse Diagram (a http://en.wikipedia.org/wiki/Hasse_diagram). The strata group all points of the
1849   same grade, and this function calculates the strata. This grade can be seen as the height (or depth) of the point in
1850   the DAG.
1851 
1852   Not collective
1853 
1854   Input Parameter:
1855 . mesh - The DMPlex
1856 
1857   Output Parameter:
1858 
1859   Notes:
1860   Concretely, DMPlexStratify() creates a new label named "depth" containing the dimension of each element: 0 for vertices,
1861   1 for edges, and so on.  The depth label can be accessed through DMPlexGetDepthLabel() or DMPlexGetDepthStratum(), or
1862   manually via DMGetLabel().  The height is defined implicitly by height = maxDimension - depth, and can be accessed
1863   via DMPlexGetHeightStratum().  For example, cells have height 0 and faces have height 1.
1864 
1865   DMPlexStratify() should be called after all calls to DMPlexSymmetrize()
1866 
1867   Level: beginner
1868 
1869 .seealso: DMPlexCreate(), DMPlexSymmetrize()
1870 @*/
1871 PetscErrorCode DMPlexStratify(DM dm)
1872 {
1873   DM_Plex       *mesh = (DM_Plex*) dm->data;
1874   DMLabel        label;
1875   PetscInt       pStart, pEnd, p;
1876   PetscInt       numRoots = 0, numLeaves = 0;
1877   PetscErrorCode ierr;
1878 
1879   PetscFunctionBegin;
1880   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1881   ierr = PetscLogEventBegin(DMPLEX_Stratify,dm,0,0,0);CHKERRQ(ierr);
1882   /* Calculate depth */
1883   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
1884   ierr = DMCreateLabel(dm, "depth");CHKERRQ(ierr);
1885   ierr = DMPlexGetDepthLabel(dm, &label);CHKERRQ(ierr);
1886   /* Initialize roots and count leaves */
1887   for (p = pStart; p < pEnd; ++p) {
1888     PetscInt coneSize, supportSize;
1889 
1890     ierr = DMPlexGetConeSize(dm, p, &coneSize);CHKERRQ(ierr);
1891     ierr = DMPlexGetSupportSize(dm, p, &supportSize);CHKERRQ(ierr);
1892     if (!coneSize && supportSize) {
1893       ++numRoots;
1894       ierr = DMLabelSetValue(label, p, 0);CHKERRQ(ierr);
1895     } else if (!supportSize && coneSize) {
1896       ++numLeaves;
1897     } else if (!supportSize && !coneSize) {
1898       /* Isolated points */
1899       ierr = DMLabelSetValue(label, p, 0);CHKERRQ(ierr);
1900     }
1901   }
1902   if (numRoots + numLeaves == (pEnd - pStart)) {
1903     for (p = pStart; p < pEnd; ++p) {
1904       PetscInt coneSize, supportSize;
1905 
1906       ierr = DMPlexGetConeSize(dm, p, &coneSize);CHKERRQ(ierr);
1907       ierr = DMPlexGetSupportSize(dm, p, &supportSize);CHKERRQ(ierr);
1908       if (!supportSize && coneSize) {
1909         ierr = DMLabelSetValue(label, p, 1);CHKERRQ(ierr);
1910       }
1911     }
1912   } else {
1913     IS       pointIS;
1914     PetscInt numPoints = 0, level = 0;
1915 
1916     ierr = DMLabelGetStratumIS(label, level, &pointIS);CHKERRQ(ierr);
1917     if (pointIS) {ierr = ISGetLocalSize(pointIS, &numPoints);CHKERRQ(ierr);}
1918     while (numPoints) {
1919       const PetscInt *points;
1920       const PetscInt  newLevel = level+1;
1921 
1922       ierr = ISGetIndices(pointIS, &points);CHKERRQ(ierr);
1923       for (p = 0; p < numPoints; ++p) {
1924         const PetscInt  point = points[p];
1925         const PetscInt *support;
1926         PetscInt        supportSize, s;
1927 
1928         ierr = DMPlexGetSupportSize(dm, point, &supportSize);CHKERRQ(ierr);
1929         ierr = DMPlexGetSupport(dm, point, &support);CHKERRQ(ierr);
1930         for (s = 0; s < supportSize; ++s) {
1931           ierr = DMLabelSetValue(label, support[s], newLevel);CHKERRQ(ierr);
1932         }
1933       }
1934       ierr = ISRestoreIndices(pointIS, &points);CHKERRQ(ierr);
1935       ++level;
1936       ierr = ISDestroy(&pointIS);CHKERRQ(ierr);
1937       ierr = DMLabelGetStratumIS(label, level, &pointIS);CHKERRQ(ierr);
1938       if (pointIS) {ierr = ISGetLocalSize(pointIS, &numPoints);CHKERRQ(ierr);}
1939       else         {numPoints = 0;}
1940     }
1941     ierr = ISDestroy(&pointIS);CHKERRQ(ierr);
1942   }
1943   ierr = DMLabelGetState(label, &mesh->depthState);CHKERRQ(ierr);
1944   ierr = PetscLogEventEnd(DMPLEX_Stratify,dm,0,0,0);CHKERRQ(ierr);
1945   PetscFunctionReturn(0);
1946 }
1947 
1948 #undef __FUNCT__
1949 #define __FUNCT__ "DMPlexGetJoin"
1950 /*@C
1951   DMPlexGetJoin - Get an array for the join of the set of points
1952 
1953   Not Collective
1954 
1955   Input Parameters:
1956 + dm - The DMPlex object
1957 . numPoints - The number of input points for the join
1958 - points - The input points
1959 
1960   Output Parameters:
1961 + numCoveredPoints - The number of points in the join
1962 - coveredPoints - The points in the join
1963 
1964   Level: intermediate
1965 
1966   Note: Currently, this is restricted to a single level join
1967 
1968   Fortran Notes:
1969   Since it returns an array, this routine is only available in Fortran 90, and you must
1970   include petsc.h90 in your code.
1971 
1972   The numCoveredPoints argument is not present in the Fortran 90 binding since it is internal to the array.
1973 
1974 .keywords: mesh
1975 .seealso: DMPlexRestoreJoin(), DMPlexGetMeet()
1976 @*/
1977 PetscErrorCode DMPlexGetJoin(DM dm, PetscInt numPoints, const PetscInt points[], PetscInt *numCoveredPoints, const PetscInt **coveredPoints)
1978 {
1979   DM_Plex       *mesh = (DM_Plex*) dm->data;
1980   PetscInt      *join[2];
1981   PetscInt       joinSize, i = 0;
1982   PetscInt       dof, off, p, c, m;
1983   PetscErrorCode ierr;
1984 
1985   PetscFunctionBegin;
1986   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1987   PetscValidPointer(points, 2);
1988   PetscValidPointer(numCoveredPoints, 3);
1989   PetscValidPointer(coveredPoints, 4);
1990   ierr = DMGetWorkArray(dm, mesh->maxSupportSize, PETSC_INT, &join[0]);CHKERRQ(ierr);
1991   ierr = DMGetWorkArray(dm, mesh->maxSupportSize, PETSC_INT, &join[1]);CHKERRQ(ierr);
1992   /* Copy in support of first point */
1993   ierr = PetscSectionGetDof(mesh->supportSection, points[0], &dof);CHKERRQ(ierr);
1994   ierr = PetscSectionGetOffset(mesh->supportSection, points[0], &off);CHKERRQ(ierr);
1995   for (joinSize = 0; joinSize < dof; ++joinSize) {
1996     join[i][joinSize] = mesh->supports[off+joinSize];
1997   }
1998   /* Check each successive support */
1999   for (p = 1; p < numPoints; ++p) {
2000     PetscInt newJoinSize = 0;
2001 
2002     ierr = PetscSectionGetDof(mesh->supportSection, points[p], &dof);CHKERRQ(ierr);
2003     ierr = PetscSectionGetOffset(mesh->supportSection, points[p], &off);CHKERRQ(ierr);
2004     for (c = 0; c < dof; ++c) {
2005       const PetscInt point = mesh->supports[off+c];
2006 
2007       for (m = 0; m < joinSize; ++m) {
2008         if (point == join[i][m]) {
2009           join[1-i][newJoinSize++] = point;
2010           break;
2011         }
2012       }
2013     }
2014     joinSize = newJoinSize;
2015     i        = 1-i;
2016   }
2017   *numCoveredPoints = joinSize;
2018   *coveredPoints    = join[i];
2019   ierr              = DMRestoreWorkArray(dm, mesh->maxSupportSize, PETSC_INT, &join[1-i]);CHKERRQ(ierr);
2020   PetscFunctionReturn(0);
2021 }
2022 
2023 #undef __FUNCT__
2024 #define __FUNCT__ "DMPlexRestoreJoin"
2025 /*@C
2026   DMPlexRestoreJoin - Restore an array for the join of the set of points
2027 
2028   Not Collective
2029 
2030   Input Parameters:
2031 + dm - The DMPlex object
2032 . numPoints - The number of input points for the join
2033 - points - The input points
2034 
2035   Output Parameters:
2036 + numCoveredPoints - The number of points in the join
2037 - coveredPoints - The points in the join
2038 
2039   Fortran Notes:
2040   Since it returns an array, this routine is only available in Fortran 90, and you must
2041   include petsc.h90 in your code.
2042 
2043   The numCoveredPoints argument is not present in the Fortran 90 binding since it is internal to the array.
2044 
2045   Level: intermediate
2046 
2047 .keywords: mesh
2048 .seealso: DMPlexGetJoin(), DMPlexGetFullJoin(), DMPlexGetMeet()
2049 @*/
2050 PetscErrorCode DMPlexRestoreJoin(DM dm, PetscInt numPoints, const PetscInt points[], PetscInt *numCoveredPoints, const PetscInt **coveredPoints)
2051 {
2052   PetscErrorCode ierr;
2053 
2054   PetscFunctionBegin;
2055   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2056   if (points) PetscValidIntPointer(points,3);
2057   if (numCoveredPoints) PetscValidIntPointer(numCoveredPoints,4);
2058   PetscValidPointer(coveredPoints, 5);
2059   ierr = DMRestoreWorkArray(dm, 0, PETSC_INT, (void*) coveredPoints);CHKERRQ(ierr);
2060   if (numCoveredPoints) *numCoveredPoints = 0;
2061   PetscFunctionReturn(0);
2062 }
2063 
2064 #undef __FUNCT__
2065 #define __FUNCT__ "DMPlexGetFullJoin"
2066 /*@C
2067   DMPlexGetFullJoin - Get an array for the join of the set of points
2068 
2069   Not Collective
2070 
2071   Input Parameters:
2072 + dm - The DMPlex object
2073 . numPoints - The number of input points for the join
2074 - points - The input points
2075 
2076   Output Parameters:
2077 + numCoveredPoints - The number of points in the join
2078 - coveredPoints - The points in the join
2079 
2080   Fortran Notes:
2081   Since it returns an array, this routine is only available in Fortran 90, and you must
2082   include petsc.h90 in your code.
2083 
2084   The numCoveredPoints argument is not present in the Fortran 90 binding since it is internal to the array.
2085 
2086   Level: intermediate
2087 
2088 .keywords: mesh
2089 .seealso: DMPlexGetJoin(), DMPlexRestoreJoin(), DMPlexGetMeet()
2090 @*/
2091 PetscErrorCode DMPlexGetFullJoin(DM dm, PetscInt numPoints, const PetscInt points[], PetscInt *numCoveredPoints, const PetscInt **coveredPoints)
2092 {
2093   DM_Plex       *mesh = (DM_Plex*) dm->data;
2094   PetscInt      *offsets, **closures;
2095   PetscInt      *join[2];
2096   PetscInt       depth = 0, maxSize, joinSize = 0, i = 0;
2097   PetscInt       p, d, c, m, ms;
2098   PetscErrorCode ierr;
2099 
2100   PetscFunctionBegin;
2101   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2102   PetscValidPointer(points, 2);
2103   PetscValidPointer(numCoveredPoints, 3);
2104   PetscValidPointer(coveredPoints, 4);
2105 
2106   ierr    = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
2107   ierr    = PetscCalloc1(numPoints, &closures);CHKERRQ(ierr);
2108   ierr    = DMGetWorkArray(dm, numPoints*(depth+2), PETSC_INT, &offsets);CHKERRQ(ierr);
2109   ms      = mesh->maxSupportSize;
2110   maxSize = (ms > 1) ? ((PetscPowInt(ms,depth+1)-1)/(ms-1)) : depth + 1;
2111   ierr    = DMGetWorkArray(dm, maxSize, PETSC_INT, &join[0]);CHKERRQ(ierr);
2112   ierr    = DMGetWorkArray(dm, maxSize, PETSC_INT, &join[1]);CHKERRQ(ierr);
2113 
2114   for (p = 0; p < numPoints; ++p) {
2115     PetscInt closureSize;
2116 
2117     ierr = DMPlexGetTransitiveClosure(dm, points[p], PETSC_FALSE, &closureSize, &closures[p]);CHKERRQ(ierr);
2118 
2119     offsets[p*(depth+2)+0] = 0;
2120     for (d = 0; d < depth+1; ++d) {
2121       PetscInt pStart, pEnd, i;
2122 
2123       ierr = DMPlexGetDepthStratum(dm, d, &pStart, &pEnd);CHKERRQ(ierr);
2124       for (i = offsets[p*(depth+2)+d]; i < closureSize; ++i) {
2125         if ((pStart > closures[p][i*2]) || (pEnd <= closures[p][i*2])) {
2126           offsets[p*(depth+2)+d+1] = i;
2127           break;
2128         }
2129       }
2130       if (i == closureSize) offsets[p*(depth+2)+d+1] = i;
2131     }
2132     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);
2133   }
2134   for (d = 0; d < depth+1; ++d) {
2135     PetscInt dof;
2136 
2137     /* Copy in support of first point */
2138     dof = offsets[d+1] - offsets[d];
2139     for (joinSize = 0; joinSize < dof; ++joinSize) {
2140       join[i][joinSize] = closures[0][(offsets[d]+joinSize)*2];
2141     }
2142     /* Check each successive cone */
2143     for (p = 1; p < numPoints && joinSize; ++p) {
2144       PetscInt newJoinSize = 0;
2145 
2146       dof = offsets[p*(depth+2)+d+1] - offsets[p*(depth+2)+d];
2147       for (c = 0; c < dof; ++c) {
2148         const PetscInt point = closures[p][(offsets[p*(depth+2)+d]+c)*2];
2149 
2150         for (m = 0; m < joinSize; ++m) {
2151           if (point == join[i][m]) {
2152             join[1-i][newJoinSize++] = point;
2153             break;
2154           }
2155         }
2156       }
2157       joinSize = newJoinSize;
2158       i        = 1-i;
2159     }
2160     if (joinSize) break;
2161   }
2162   *numCoveredPoints = joinSize;
2163   *coveredPoints    = join[i];
2164   for (p = 0; p < numPoints; ++p) {
2165     ierr = DMPlexRestoreTransitiveClosure(dm, points[p], PETSC_FALSE, NULL, &closures[p]);CHKERRQ(ierr);
2166   }
2167   ierr = PetscFree(closures);CHKERRQ(ierr);
2168   ierr = DMRestoreWorkArray(dm, numPoints*(depth+2), PETSC_INT, &offsets);CHKERRQ(ierr);
2169   ierr = DMRestoreWorkArray(dm, mesh->maxSupportSize, PETSC_INT, &join[1-i]);CHKERRQ(ierr);
2170   PetscFunctionReturn(0);
2171 }
2172 
2173 #undef __FUNCT__
2174 #define __FUNCT__ "DMPlexGetMeet"
2175 /*@C
2176   DMPlexGetMeet - Get an array for the meet of the set of points
2177 
2178   Not Collective
2179 
2180   Input Parameters:
2181 + dm - The DMPlex object
2182 . numPoints - The number of input points for the meet
2183 - points - The input points
2184 
2185   Output Parameters:
2186 + numCoveredPoints - The number of points in the meet
2187 - coveredPoints - The points in the meet
2188 
2189   Level: intermediate
2190 
2191   Note: Currently, this is restricted to a single level meet
2192 
2193   Fortran Notes:
2194   Since it returns an array, this routine is only available in Fortran 90, and you must
2195   include petsc.h90 in your code.
2196 
2197   The numCoveredPoints argument is not present in the Fortran 90 binding since it is internal to the array.
2198 
2199 .keywords: mesh
2200 .seealso: DMPlexRestoreMeet(), DMPlexGetJoin()
2201 @*/
2202 PetscErrorCode DMPlexGetMeet(DM dm, PetscInt numPoints, const PetscInt points[], PetscInt *numCoveringPoints, const PetscInt **coveringPoints)
2203 {
2204   DM_Plex       *mesh = (DM_Plex*) dm->data;
2205   PetscInt      *meet[2];
2206   PetscInt       meetSize, i = 0;
2207   PetscInt       dof, off, p, c, m;
2208   PetscErrorCode ierr;
2209 
2210   PetscFunctionBegin;
2211   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2212   PetscValidPointer(points, 2);
2213   PetscValidPointer(numCoveringPoints, 3);
2214   PetscValidPointer(coveringPoints, 4);
2215   ierr = DMGetWorkArray(dm, mesh->maxConeSize, PETSC_INT, &meet[0]);CHKERRQ(ierr);
2216   ierr = DMGetWorkArray(dm, mesh->maxConeSize, PETSC_INT, &meet[1]);CHKERRQ(ierr);
2217   /* Copy in cone of first point */
2218   ierr = PetscSectionGetDof(mesh->coneSection, points[0], &dof);CHKERRQ(ierr);
2219   ierr = PetscSectionGetOffset(mesh->coneSection, points[0], &off);CHKERRQ(ierr);
2220   for (meetSize = 0; meetSize < dof; ++meetSize) {
2221     meet[i][meetSize] = mesh->cones[off+meetSize];
2222   }
2223   /* Check each successive cone */
2224   for (p = 1; p < numPoints; ++p) {
2225     PetscInt newMeetSize = 0;
2226 
2227     ierr = PetscSectionGetDof(mesh->coneSection, points[p], &dof);CHKERRQ(ierr);
2228     ierr = PetscSectionGetOffset(mesh->coneSection, points[p], &off);CHKERRQ(ierr);
2229     for (c = 0; c < dof; ++c) {
2230       const PetscInt point = mesh->cones[off+c];
2231 
2232       for (m = 0; m < meetSize; ++m) {
2233         if (point == meet[i][m]) {
2234           meet[1-i][newMeetSize++] = point;
2235           break;
2236         }
2237       }
2238     }
2239     meetSize = newMeetSize;
2240     i        = 1-i;
2241   }
2242   *numCoveringPoints = meetSize;
2243   *coveringPoints    = meet[i];
2244   ierr               = DMRestoreWorkArray(dm, mesh->maxConeSize, PETSC_INT, &meet[1-i]);CHKERRQ(ierr);
2245   PetscFunctionReturn(0);
2246 }
2247 
2248 #undef __FUNCT__
2249 #define __FUNCT__ "DMPlexRestoreMeet"
2250 /*@C
2251   DMPlexRestoreMeet - Restore an array for the meet of the set of points
2252 
2253   Not Collective
2254 
2255   Input Parameters:
2256 + dm - The DMPlex object
2257 . numPoints - The number of input points for the meet
2258 - points - The input points
2259 
2260   Output Parameters:
2261 + numCoveredPoints - The number of points in the meet
2262 - coveredPoints - The points in the meet
2263 
2264   Level: intermediate
2265 
2266   Fortran Notes:
2267   Since it returns an array, this routine is only available in Fortran 90, and you must
2268   include petsc.h90 in your code.
2269 
2270   The numCoveredPoints argument is not present in the Fortran 90 binding since it is internal to the array.
2271 
2272 .keywords: mesh
2273 .seealso: DMPlexGetMeet(), DMPlexGetFullMeet(), DMPlexGetJoin()
2274 @*/
2275 PetscErrorCode DMPlexRestoreMeet(DM dm, PetscInt numPoints, const PetscInt points[], PetscInt *numCoveredPoints, const PetscInt **coveredPoints)
2276 {
2277   PetscErrorCode ierr;
2278 
2279   PetscFunctionBegin;
2280   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2281   if (points) PetscValidIntPointer(points,3);
2282   if (numCoveredPoints) PetscValidIntPointer(numCoveredPoints,4);
2283   PetscValidPointer(coveredPoints,5);
2284   ierr = DMRestoreWorkArray(dm, 0, PETSC_INT, (void*) coveredPoints);CHKERRQ(ierr);
2285   if (numCoveredPoints) *numCoveredPoints = 0;
2286   PetscFunctionReturn(0);
2287 }
2288 
2289 #undef __FUNCT__
2290 #define __FUNCT__ "DMPlexGetFullMeet"
2291 /*@C
2292   DMPlexGetFullMeet - Get an array for the meet of the set of points
2293 
2294   Not Collective
2295 
2296   Input Parameters:
2297 + dm - The DMPlex object
2298 . numPoints - The number of input points for the meet
2299 - points - The input points
2300 
2301   Output Parameters:
2302 + numCoveredPoints - The number of points in the meet
2303 - coveredPoints - The points in the meet
2304 
2305   Level: intermediate
2306 
2307   Fortran Notes:
2308   Since it returns an array, this routine is only available in Fortran 90, and you must
2309   include petsc.h90 in your code.
2310 
2311   The numCoveredPoints argument is not present in the Fortran 90 binding since it is internal to the array.
2312 
2313 .keywords: mesh
2314 .seealso: DMPlexGetMeet(), DMPlexRestoreMeet(), DMPlexGetJoin()
2315 @*/
2316 PetscErrorCode DMPlexGetFullMeet(DM dm, PetscInt numPoints, const PetscInt points[], PetscInt *numCoveredPoints, const PetscInt **coveredPoints)
2317 {
2318   DM_Plex       *mesh = (DM_Plex*) dm->data;
2319   PetscInt      *offsets, **closures;
2320   PetscInt      *meet[2];
2321   PetscInt       height = 0, maxSize, meetSize = 0, i = 0;
2322   PetscInt       p, h, c, m, mc;
2323   PetscErrorCode ierr;
2324 
2325   PetscFunctionBegin;
2326   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2327   PetscValidPointer(points, 2);
2328   PetscValidPointer(numCoveredPoints, 3);
2329   PetscValidPointer(coveredPoints, 4);
2330 
2331   ierr    = DMPlexGetDepth(dm, &height);CHKERRQ(ierr);
2332   ierr    = PetscMalloc1(numPoints, &closures);CHKERRQ(ierr);
2333   ierr    = DMGetWorkArray(dm, numPoints*(height+2), PETSC_INT, &offsets);CHKERRQ(ierr);
2334   mc      = mesh->maxConeSize;
2335   maxSize = (mc > 1) ? ((PetscPowInt(mc,height+1)-1)/(mc-1)) : height + 1;
2336   ierr    = DMGetWorkArray(dm, maxSize, PETSC_INT, &meet[0]);CHKERRQ(ierr);
2337   ierr    = DMGetWorkArray(dm, maxSize, PETSC_INT, &meet[1]);CHKERRQ(ierr);
2338 
2339   for (p = 0; p < numPoints; ++p) {
2340     PetscInt closureSize;
2341 
2342     ierr = DMPlexGetTransitiveClosure(dm, points[p], PETSC_TRUE, &closureSize, &closures[p]);CHKERRQ(ierr);
2343 
2344     offsets[p*(height+2)+0] = 0;
2345     for (h = 0; h < height+1; ++h) {
2346       PetscInt pStart, pEnd, i;
2347 
2348       ierr = DMPlexGetHeightStratum(dm, h, &pStart, &pEnd);CHKERRQ(ierr);
2349       for (i = offsets[p*(height+2)+h]; i < closureSize; ++i) {
2350         if ((pStart > closures[p][i*2]) || (pEnd <= closures[p][i*2])) {
2351           offsets[p*(height+2)+h+1] = i;
2352           break;
2353         }
2354       }
2355       if (i == closureSize) offsets[p*(height+2)+h+1] = i;
2356     }
2357     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);
2358   }
2359   for (h = 0; h < height+1; ++h) {
2360     PetscInt dof;
2361 
2362     /* Copy in cone of first point */
2363     dof = offsets[h+1] - offsets[h];
2364     for (meetSize = 0; meetSize < dof; ++meetSize) {
2365       meet[i][meetSize] = closures[0][(offsets[h]+meetSize)*2];
2366     }
2367     /* Check each successive cone */
2368     for (p = 1; p < numPoints && meetSize; ++p) {
2369       PetscInt newMeetSize = 0;
2370 
2371       dof = offsets[p*(height+2)+h+1] - offsets[p*(height+2)+h];
2372       for (c = 0; c < dof; ++c) {
2373         const PetscInt point = closures[p][(offsets[p*(height+2)+h]+c)*2];
2374 
2375         for (m = 0; m < meetSize; ++m) {
2376           if (point == meet[i][m]) {
2377             meet[1-i][newMeetSize++] = point;
2378             break;
2379           }
2380         }
2381       }
2382       meetSize = newMeetSize;
2383       i        = 1-i;
2384     }
2385     if (meetSize) break;
2386   }
2387   *numCoveredPoints = meetSize;
2388   *coveredPoints    = meet[i];
2389   for (p = 0; p < numPoints; ++p) {
2390     ierr = DMPlexRestoreTransitiveClosure(dm, points[p], PETSC_TRUE, NULL, &closures[p]);CHKERRQ(ierr);
2391   }
2392   ierr = PetscFree(closures);CHKERRQ(ierr);
2393   ierr = DMRestoreWorkArray(dm, numPoints*(height+2), PETSC_INT, &offsets);CHKERRQ(ierr);
2394   ierr = DMRestoreWorkArray(dm, mesh->maxConeSize, PETSC_INT, &meet[1-i]);CHKERRQ(ierr);
2395   PetscFunctionReturn(0);
2396 }
2397 
2398 #undef __FUNCT__
2399 #define __FUNCT__ "DMPlexEqual"
2400 /*@C
2401   DMPlexEqual - Determine if two DMs have the same topology
2402 
2403   Not Collective
2404 
2405   Input Parameters:
2406 + dmA - A DMPlex object
2407 - dmB - A DMPlex object
2408 
2409   Output Parameters:
2410 . equal - PETSC_TRUE if the topologies are identical
2411 
2412   Level: intermediate
2413 
2414   Notes:
2415   We are not solving graph isomorphism, so we do not permutation.
2416 
2417 .keywords: mesh
2418 .seealso: DMPlexGetCone()
2419 @*/
2420 PetscErrorCode DMPlexEqual(DM dmA, DM dmB, PetscBool *equal)
2421 {
2422   PetscInt       depth, depthB, pStart, pEnd, pStartB, pEndB, p;
2423   PetscErrorCode ierr;
2424 
2425   PetscFunctionBegin;
2426   PetscValidHeaderSpecific(dmA, DM_CLASSID, 1);
2427   PetscValidHeaderSpecific(dmB, DM_CLASSID, 2);
2428   PetscValidPointer(equal, 3);
2429 
2430   *equal = PETSC_FALSE;
2431   ierr = DMPlexGetDepth(dmA, &depth);CHKERRQ(ierr);
2432   ierr = DMPlexGetDepth(dmB, &depthB);CHKERRQ(ierr);
2433   if (depth != depthB) PetscFunctionReturn(0);
2434   ierr = DMPlexGetChart(dmA, &pStart,  &pEnd);CHKERRQ(ierr);
2435   ierr = DMPlexGetChart(dmB, &pStartB, &pEndB);CHKERRQ(ierr);
2436   if ((pStart != pStartB) || (pEnd != pEndB)) PetscFunctionReturn(0);
2437   for (p = pStart; p < pEnd; ++p) {
2438     const PetscInt *cone, *coneB, *ornt, *orntB, *support, *supportB;
2439     PetscInt        coneSize, coneSizeB, c, supportSize, supportSizeB, s;
2440 
2441     ierr = DMPlexGetConeSize(dmA, p, &coneSize);CHKERRQ(ierr);
2442     ierr = DMPlexGetCone(dmA, p, &cone);CHKERRQ(ierr);
2443     ierr = DMPlexGetConeOrientation(dmA, p, &ornt);CHKERRQ(ierr);
2444     ierr = DMPlexGetConeSize(dmB, p, &coneSizeB);CHKERRQ(ierr);
2445     ierr = DMPlexGetCone(dmB, p, &coneB);CHKERRQ(ierr);
2446     ierr = DMPlexGetConeOrientation(dmB, p, &orntB);CHKERRQ(ierr);
2447     if (coneSize != coneSizeB) PetscFunctionReturn(0);
2448     for (c = 0; c < coneSize; ++c) {
2449       if (cone[c] != coneB[c]) PetscFunctionReturn(0);
2450       if (ornt[c] != orntB[c]) PetscFunctionReturn(0);
2451     }
2452     ierr = DMPlexGetSupportSize(dmA, p, &supportSize);CHKERRQ(ierr);
2453     ierr = DMPlexGetSupport(dmA, p, &support);CHKERRQ(ierr);
2454     ierr = DMPlexGetSupportSize(dmB, p, &supportSizeB);CHKERRQ(ierr);
2455     ierr = DMPlexGetSupport(dmB, p, &supportB);CHKERRQ(ierr);
2456     if (supportSize != supportSizeB) PetscFunctionReturn(0);
2457     for (s = 0; s < supportSize; ++s) {
2458       if (support[s] != supportB[s]) PetscFunctionReturn(0);
2459     }
2460   }
2461   *equal = PETSC_TRUE;
2462   PetscFunctionReturn(0);
2463 }
2464 
2465 #undef __FUNCT__
2466 #define __FUNCT__ "DMPlexGetNumFaceVertices"
2467 PetscErrorCode DMPlexGetNumFaceVertices(DM dm, PetscInt cellDim, PetscInt numCorners, PetscInt *numFaceVertices)
2468 {
2469   MPI_Comm       comm;
2470   PetscErrorCode ierr;
2471 
2472   PetscFunctionBegin;
2473   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
2474   PetscValidPointer(numFaceVertices,3);
2475   switch (cellDim) {
2476   case 0:
2477     *numFaceVertices = 0;
2478     break;
2479   case 1:
2480     *numFaceVertices = 1;
2481     break;
2482   case 2:
2483     switch (numCorners) {
2484     case 3: /* triangle */
2485       *numFaceVertices = 2; /* Edge has 2 vertices */
2486       break;
2487     case 4: /* quadrilateral */
2488       *numFaceVertices = 2; /* Edge has 2 vertices */
2489       break;
2490     case 6: /* quadratic triangle, tri and quad cohesive Lagrange cells */
2491       *numFaceVertices = 3; /* Edge has 3 vertices */
2492       break;
2493     case 9: /* quadratic quadrilateral, quadratic quad cohesive Lagrange cells */
2494       *numFaceVertices = 3; /* Edge has 3 vertices */
2495       break;
2496     default:
2497       SETERRQ2(comm, PETSC_ERR_ARG_OUTOFRANGE, "Invalid number of face corners %D for dimension %D", numCorners, cellDim);
2498     }
2499     break;
2500   case 3:
2501     switch (numCorners) {
2502     case 4: /* tetradehdron */
2503       *numFaceVertices = 3; /* Face has 3 vertices */
2504       break;
2505     case 6: /* tet cohesive cells */
2506       *numFaceVertices = 4; /* Face has 4 vertices */
2507       break;
2508     case 8: /* hexahedron */
2509       *numFaceVertices = 4; /* Face has 4 vertices */
2510       break;
2511     case 9: /* tet cohesive Lagrange cells */
2512       *numFaceVertices = 6; /* Face has 6 vertices */
2513       break;
2514     case 10: /* quadratic tetrahedron */
2515       *numFaceVertices = 6; /* Face has 6 vertices */
2516       break;
2517     case 12: /* hex cohesive Lagrange cells */
2518       *numFaceVertices = 6; /* Face has 6 vertices */
2519       break;
2520     case 18: /* quadratic tet cohesive Lagrange cells */
2521       *numFaceVertices = 6; /* Face has 6 vertices */
2522       break;
2523     case 27: /* quadratic hexahedron, quadratic hex cohesive Lagrange cells */
2524       *numFaceVertices = 9; /* Face has 9 vertices */
2525       break;
2526     default:
2527       SETERRQ2(comm, PETSC_ERR_ARG_OUTOFRANGE, "Invalid number of face corners %D for dimension %D", numCorners, cellDim);
2528     }
2529     break;
2530   default:
2531     SETERRQ1(comm, PETSC_ERR_ARG_OUTOFRANGE, "Invalid cell dimension %D", cellDim);
2532   }
2533   PetscFunctionReturn(0);
2534 }
2535 
2536 #undef __FUNCT__
2537 #define __FUNCT__ "DMPlexGetDepthLabel"
2538 /*@
2539   DMPlexGetDepthLabel - Get the DMLabel recording the depth of each point
2540 
2541   Not Collective
2542 
2543   Input Parameter:
2544 . dm    - The DMPlex object
2545 
2546   Output Parameter:
2547 . depthLabel - The DMLabel recording point depth
2548 
2549   Level: developer
2550 
2551 .keywords: mesh, points
2552 .seealso: DMPlexGetDepth(), DMPlexGetHeightStratum(), DMPlexGetDepthStratum()
2553 @*/
2554 PetscErrorCode DMPlexGetDepthLabel(DM dm, DMLabel *depthLabel)
2555 {
2556   PetscErrorCode ierr;
2557 
2558   PetscFunctionBegin;
2559   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2560   PetscValidPointer(depthLabel, 2);
2561   if (!dm->depthLabel) {ierr = DMGetLabel(dm, "depth", &dm->depthLabel);CHKERRQ(ierr);}
2562   *depthLabel = dm->depthLabel;
2563   PetscFunctionReturn(0);
2564 }
2565 
2566 #undef __FUNCT__
2567 #define __FUNCT__ "DMPlexGetDepth"
2568 /*@
2569   DMPlexGetDepth - Get the depth of the DAG representing this mesh
2570 
2571   Not Collective
2572 
2573   Input Parameter:
2574 . dm    - The DMPlex object
2575 
2576   Output Parameter:
2577 . depth - The number of strata (breadth first levels) in the DAG
2578 
2579   Level: developer
2580 
2581 .keywords: mesh, points
2582 .seealso: DMPlexGetDepthLabel(), DMPlexGetHeightStratum(), DMPlexGetDepthStratum()
2583 @*/
2584 PetscErrorCode DMPlexGetDepth(DM dm, PetscInt *depth)
2585 {
2586   DMLabel        label;
2587   PetscInt       d = 0;
2588   PetscErrorCode ierr;
2589 
2590   PetscFunctionBegin;
2591   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2592   PetscValidPointer(depth, 2);
2593   ierr = DMPlexGetDepthLabel(dm, &label);CHKERRQ(ierr);
2594   if (label) {ierr = DMLabelGetNumValues(label, &d);CHKERRQ(ierr);}
2595   *depth = d-1;
2596   PetscFunctionReturn(0);
2597 }
2598 
2599 #undef __FUNCT__
2600 #define __FUNCT__ "DMPlexGetDepthStratum"
2601 /*@
2602   DMPlexGetDepthStratum - Get the bounds [start, end) for all points at a certain depth.
2603 
2604   Not Collective
2605 
2606   Input Parameters:
2607 + dm           - The DMPlex object
2608 - stratumValue - The requested depth
2609 
2610   Output Parameters:
2611 + start - The first point at this depth
2612 - end   - One beyond the last point at this depth
2613 
2614   Level: developer
2615 
2616 .keywords: mesh, points
2617 .seealso: DMPlexGetHeightStratum(), DMPlexGetDepth()
2618 @*/
2619 PetscErrorCode DMPlexGetDepthStratum(DM dm, PetscInt stratumValue, PetscInt *start, PetscInt *end)
2620 {
2621   DMLabel        label;
2622   PetscInt       pStart, pEnd;
2623   PetscErrorCode ierr;
2624 
2625   PetscFunctionBegin;
2626   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2627   if (start) {PetscValidPointer(start, 3); *start = 0;}
2628   if (end)   {PetscValidPointer(end,   4); *end   = 0;}
2629   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
2630   if (pStart == pEnd) PetscFunctionReturn(0);
2631   if (stratumValue < 0) {
2632     if (start) *start = pStart;
2633     if (end)   *end   = pEnd;
2634     PetscFunctionReturn(0);
2635   }
2636   ierr = DMPlexGetDepthLabel(dm, &label);CHKERRQ(ierr);
2637   if (!label) SETERRQ(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_WRONG, "No label named depth was found");
2638   ierr = DMLabelGetStratumBounds(label, stratumValue, start, end);CHKERRQ(ierr);
2639   PetscFunctionReturn(0);
2640 }
2641 
2642 #undef __FUNCT__
2643 #define __FUNCT__ "DMPlexGetHeightStratum"
2644 /*@
2645   DMPlexGetHeightStratum - Get the bounds [start, end) for all points at a certain height.
2646 
2647   Not Collective
2648 
2649   Input Parameters:
2650 + dm           - The DMPlex object
2651 - stratumValue - The requested height
2652 
2653   Output Parameters:
2654 + start - The first point at this height
2655 - end   - One beyond the last point at this height
2656 
2657   Level: developer
2658 
2659 .keywords: mesh, points
2660 .seealso: DMPlexGetDepthStratum(), DMPlexGetDepth()
2661 @*/
2662 PetscErrorCode DMPlexGetHeightStratum(DM dm, PetscInt stratumValue, PetscInt *start, PetscInt *end)
2663 {
2664   DMLabel        label;
2665   PetscInt       depth, pStart, pEnd;
2666   PetscErrorCode ierr;
2667 
2668   PetscFunctionBegin;
2669   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2670   if (start) {PetscValidPointer(start, 3); *start = 0;}
2671   if (end)   {PetscValidPointer(end,   4); *end   = 0;}
2672   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
2673   if (pStart == pEnd) PetscFunctionReturn(0);
2674   if (stratumValue < 0) {
2675     if (start) *start = pStart;
2676     if (end)   *end   = pEnd;
2677     PetscFunctionReturn(0);
2678   }
2679   ierr = DMPlexGetDepthLabel(dm, &label);CHKERRQ(ierr);
2680   if (!label) SETERRQ(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_WRONG, "No label named depth was found");CHKERRQ(ierr);
2681   ierr = DMLabelGetNumValues(label, &depth);CHKERRQ(ierr);
2682   ierr = DMLabelGetStratumBounds(label, depth-1-stratumValue, start, end);CHKERRQ(ierr);
2683   PetscFunctionReturn(0);
2684 }
2685 
2686 #undef __FUNCT__
2687 #define __FUNCT__ "DMPlexCreateSectionInitial"
2688 /* Set the number of dof on each point and separate by fields */
2689 PetscErrorCode DMPlexCreateSectionInitial(DM dm, PetscInt dim, PetscInt numFields,const PetscInt numComp[],const PetscInt numDof[], PetscSection *section)
2690 {
2691   PetscInt      *pMax;
2692   PetscInt       depth, pStart = 0, pEnd = 0;
2693   PetscInt       Nf, p, d, dep, f;
2694   PetscBool     *isFE;
2695   PetscErrorCode ierr;
2696 
2697   PetscFunctionBegin;
2698   ierr = PetscMalloc1(numFields, &isFE);CHKERRQ(ierr);
2699   ierr = DMGetNumFields(dm, &Nf);CHKERRQ(ierr);
2700   for (f = 0; f < numFields; ++f) {
2701     PetscObject  obj;
2702     PetscClassId id;
2703 
2704     isFE[f] = PETSC_FALSE;
2705     if (f >= Nf) continue;
2706     ierr = DMGetField(dm, f, &obj);CHKERRQ(ierr);
2707     ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
2708     if (id == PETSCFE_CLASSID)      {isFE[f] = PETSC_TRUE;}
2709     else if (id == PETSCFV_CLASSID) {isFE[f] = PETSC_FALSE;}
2710   }
2711   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), section);CHKERRQ(ierr);
2712   if (numFields > 0) {
2713     ierr = PetscSectionSetNumFields(*section, numFields);CHKERRQ(ierr);
2714     if (numComp) {
2715       for (f = 0; f < numFields; ++f) {
2716         ierr = PetscSectionSetFieldComponents(*section, f, numComp[f]);CHKERRQ(ierr);
2717       }
2718     }
2719   }
2720   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
2721   ierr = PetscSectionSetChart(*section, pStart, pEnd);CHKERRQ(ierr);
2722   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
2723   ierr = PetscMalloc1(depth+1,&pMax);CHKERRQ(ierr);
2724   ierr = DMPlexGetHybridBounds(dm, depth >= 0 ? &pMax[depth] : NULL, depth>1 ? &pMax[depth-1] : NULL, depth>2 ? &pMax[1] : NULL, &pMax[0]);CHKERRQ(ierr);
2725   for (dep = 0; dep <= depth; ++dep) {
2726     d    = dim == depth ? dep : (!dep ? 0 : dim);
2727     ierr = DMPlexGetDepthStratum(dm, dep, &pStart, &pEnd);CHKERRQ(ierr);
2728     pMax[dep] = pMax[dep] < 0 ? pEnd : pMax[dep];
2729     for (p = pStart; p < pEnd; ++p) {
2730       PetscInt tot = 0;
2731 
2732       for (f = 0; f < numFields; ++f) {
2733         if (isFE[f] && p >= pMax[dep]) continue;
2734         ierr = PetscSectionSetFieldDof(*section, p, f, numDof[f*(dim+1)+d]);CHKERRQ(ierr);
2735         tot += numDof[f*(dim+1)+d];
2736       }
2737       ierr = PetscSectionSetDof(*section, p, tot);CHKERRQ(ierr);
2738     }
2739   }
2740   ierr = PetscFree(pMax);CHKERRQ(ierr);
2741   ierr = PetscFree(isFE);CHKERRQ(ierr);
2742   PetscFunctionReturn(0);
2743 }
2744 
2745 #undef __FUNCT__
2746 #define __FUNCT__ "DMPlexCreateSectionBCDof"
2747 /* Set the number of dof on each point and separate by fields
2748    If bcComps is NULL or the IS is NULL, constrain every dof on the point
2749 */
2750 PetscErrorCode DMPlexCreateSectionBCDof(DM dm, PetscInt numBC, const PetscInt bcField[], const IS bcComps[], const IS bcPoints[], PetscSection section)
2751 {
2752   PetscInt       numFields;
2753   PetscInt       bc;
2754   PetscSection   aSec;
2755   PetscErrorCode ierr;
2756 
2757   PetscFunctionBegin;
2758   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
2759   for (bc = 0; bc < numBC; ++bc) {
2760     PetscInt        field = 0;
2761     const PetscInt *comp;
2762     const PetscInt *idx;
2763     PetscInt        Nc = -1, n, i;
2764 
2765     if (numFields) field = bcField[bc];
2766     if (bcComps && bcComps[bc]) {ierr = ISGetLocalSize(bcComps[bc], &Nc);CHKERRQ(ierr);}
2767     if (bcComps && bcComps[bc]) {ierr = ISGetIndices(bcComps[bc], &comp);CHKERRQ(ierr);}
2768     ierr = ISGetLocalSize(bcPoints[bc], &n);CHKERRQ(ierr);
2769     ierr = ISGetIndices(bcPoints[bc], &idx);CHKERRQ(ierr);
2770     for (i = 0; i < n; ++i) {
2771       const PetscInt p = idx[i];
2772       PetscInt       numConst;
2773 
2774       if (numFields) {
2775         ierr = PetscSectionGetFieldDof(section, p, field, &numConst);CHKERRQ(ierr);
2776       } else {
2777         ierr = PetscSectionGetDof(section, p, &numConst);CHKERRQ(ierr);
2778       }
2779       /* If Nc < 0, constrain every dof on the point */
2780       if (Nc > 0) numConst = PetscMin(numConst, Nc);
2781       if (numFields) {ierr = PetscSectionAddFieldConstraintDof(section, p, field, numConst);CHKERRQ(ierr);}
2782       ierr = PetscSectionAddConstraintDof(section, p, numConst);CHKERRQ(ierr);
2783     }
2784     ierr = ISRestoreIndices(bcPoints[bc], &idx);CHKERRQ(ierr);
2785     if (bcComps && bcComps[bc]) {ierr = ISRestoreIndices(bcComps[bc], &comp);CHKERRQ(ierr);}
2786   }
2787   ierr = DMPlexGetAnchors(dm, &aSec, NULL);CHKERRQ(ierr);
2788   if (aSec) {
2789     PetscInt aStart, aEnd, a;
2790 
2791     ierr = PetscSectionGetChart(aSec, &aStart, &aEnd);CHKERRQ(ierr);
2792     for (a = aStart; a < aEnd; a++) {
2793       PetscInt dof, f;
2794 
2795       ierr = PetscSectionGetDof(aSec, a, &dof);CHKERRQ(ierr);
2796       if (dof) {
2797         /* if there are point-to-point constraints, then all dofs are constrained */
2798         ierr = PetscSectionGetDof(section, a, &dof);CHKERRQ(ierr);
2799         ierr = PetscSectionSetConstraintDof(section, a, dof);CHKERRQ(ierr);
2800         for (f = 0; f < numFields; f++) {
2801           ierr = PetscSectionGetFieldDof(section, a, f, &dof);CHKERRQ(ierr);
2802           ierr = PetscSectionSetFieldConstraintDof(section, a, f, dof);CHKERRQ(ierr);
2803         }
2804       }
2805     }
2806   }
2807   PetscFunctionReturn(0);
2808 }
2809 
2810 #undef __FUNCT__
2811 #define __FUNCT__ "DMPlexCreateSectionBCIndicesField"
2812 /* Set the constrained field indices on each point
2813    If bcComps is NULL or the IS is NULL, constrain every dof on the point
2814 */
2815 PetscErrorCode DMPlexCreateSectionBCIndicesField(DM dm, PetscInt numBC,const PetscInt bcField[], const IS bcComps[], const IS bcPoints[], PetscSection section)
2816 {
2817   PetscSection   aSec;
2818   PetscInt      *indices;
2819   PetscInt       numFields, maxDof, pStart, pEnd, p, bc, f, d;
2820   PetscErrorCode ierr;
2821 
2822   PetscFunctionBegin;
2823   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
2824   if (!numFields) PetscFunctionReturn(0);
2825   /* Initialize all field indices to -1 */
2826   ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
2827   ierr = PetscSectionGetMaxDof(section, &maxDof);CHKERRQ(ierr);
2828   ierr = PetscMalloc1(maxDof, &indices);CHKERRQ(ierr);
2829   for (d = 0; d < maxDof; ++d) indices[d] = -1;
2830   for (p = pStart; p < pEnd; ++p) for (f = 0; f < numFields; ++f) {ierr = PetscSectionSetFieldConstraintIndices(section, p, f, indices);CHKERRQ(ierr);}
2831   /* Handle BC constraints */
2832   for (bc = 0; bc < numBC; ++bc) {
2833     const PetscInt  field = bcField[bc];
2834     const PetscInt *comp, *idx;
2835     PetscInt        Nc = -1, n, i;
2836 
2837     if (bcComps && bcComps[bc]) {ierr = ISGetLocalSize(bcComps[bc], &Nc);CHKERRQ(ierr);}
2838     if (bcComps && bcComps[bc]) {ierr = ISGetIndices(bcComps[bc], &comp);CHKERRQ(ierr);}
2839     ierr = ISGetLocalSize(bcPoints[bc], &n);CHKERRQ(ierr);
2840     ierr = ISGetIndices(bcPoints[bc], &idx);CHKERRQ(ierr);
2841     for (i = 0; i < n; ++i) {
2842       const PetscInt  p = idx[i];
2843       const PetscInt *find;
2844       PetscInt        fcdof, c;
2845 
2846       ierr = PetscSectionGetFieldConstraintDof(section, p, field, &fcdof);CHKERRQ(ierr);
2847       if (Nc < 0) {
2848         for (d = 0; d < fcdof; ++d) indices[d] = d;
2849       } else {
2850         ierr = PetscSectionGetFieldConstraintIndices(section, p, field, &find);CHKERRQ(ierr);
2851         for (d = 0; d < fcdof; ++d) {if (find[d] < 0) break; indices[d] = find[d];}
2852         for (c = 0; c < Nc; ++c) indices[d+c] = comp[c];
2853         ierr = PetscSortInt(d+Nc, indices);CHKERRQ(ierr);
2854         for (c = d+Nc; c < fcdof; ++c) indices[c] = -1;
2855       }
2856       ierr = PetscSectionSetFieldConstraintIndices(section, p, field, indices);CHKERRQ(ierr);
2857     }
2858     if (bcComps && bcComps[bc]) {ierr = ISRestoreIndices(bcComps[bc], &comp);CHKERRQ(ierr);}
2859     ierr = ISRestoreIndices(bcPoints[bc], &idx);CHKERRQ(ierr);
2860   }
2861   /* Handle anchors */
2862   ierr = DMPlexGetAnchors(dm, &aSec, NULL);CHKERRQ(ierr);
2863   if (aSec) {
2864     PetscInt aStart, aEnd, a;
2865 
2866     for (d = 0; d < maxDof; ++d) indices[d] = d;
2867     ierr = PetscSectionGetChart(aSec, &aStart, &aEnd);CHKERRQ(ierr);
2868     for (a = aStart; a < aEnd; a++) {
2869       PetscInt dof, fdof, f;
2870 
2871       ierr = PetscSectionGetDof(aSec, a, &dof);CHKERRQ(ierr);
2872       if (dof) {
2873         /* if there are point-to-point constraints, then all dofs are constrained */
2874         for (f = 0; f < numFields; f++) {
2875           ierr = PetscSectionGetFieldDof(section, a, f, &fdof);CHKERRQ(ierr);
2876           ierr = PetscSectionSetFieldConstraintIndices(section, a, f, indices);CHKERRQ(ierr);
2877         }
2878       }
2879     }
2880   }
2881   ierr = PetscFree(indices);CHKERRQ(ierr);
2882   PetscFunctionReturn(0);
2883 }
2884 
2885 #undef __FUNCT__
2886 #define __FUNCT__ "DMPlexCreateSectionBCIndices"
2887 /* Set the constrained indices on each point */
2888 PetscErrorCode DMPlexCreateSectionBCIndices(DM dm, PetscSection section)
2889 {
2890   PetscInt      *indices;
2891   PetscInt       numFields, maxDof, pStart, pEnd, p, f, d;
2892   PetscErrorCode ierr;
2893 
2894   PetscFunctionBegin;
2895   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
2896   ierr = PetscSectionGetMaxDof(section, &maxDof);CHKERRQ(ierr);
2897   ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
2898   ierr = PetscMalloc1(maxDof, &indices);CHKERRQ(ierr);
2899   for (d = 0; d < maxDof; ++d) indices[d] = -1;
2900   for (p = pStart; p < pEnd; ++p) {
2901     PetscInt cdof, d;
2902 
2903     ierr = PetscSectionGetConstraintDof(section, p, &cdof);CHKERRQ(ierr);
2904     if (cdof) {
2905       if (numFields) {
2906         PetscInt numConst = 0, foff = 0;
2907 
2908         for (f = 0; f < numFields; ++f) {
2909           const PetscInt *find;
2910           PetscInt        fcdof, fdof;
2911 
2912           ierr = PetscSectionGetFieldDof(section, p, f, &fdof);CHKERRQ(ierr);
2913           ierr = PetscSectionGetFieldConstraintDof(section, p, f, &fcdof);CHKERRQ(ierr);
2914           /* Change constraint numbering from field component to local dof number */
2915           ierr = PetscSectionGetFieldConstraintIndices(section, p, f, &find);CHKERRQ(ierr);
2916           for (d = 0; d < fcdof; ++d) indices[numConst+d] = find[d] + foff;
2917           numConst += fcdof;
2918           foff     += fdof;
2919         }
2920         if (cdof != numConst) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_LIB, "Total number of field constraints %D should be %D", numConst, cdof);
2921       } else {
2922         for (d = 0; d < cdof; ++d) indices[d] = d;
2923       }
2924       ierr = PetscSectionSetConstraintIndices(section, p, indices);CHKERRQ(ierr);
2925     }
2926   }
2927   ierr = PetscFree(indices);CHKERRQ(ierr);
2928   PetscFunctionReturn(0);
2929 }
2930 
2931 #undef __FUNCT__
2932 #define __FUNCT__ "DMPlexCreateSection"
2933 /*@C
2934   DMPlexCreateSection - Create a PetscSection based upon the dof layout specification provided.
2935 
2936   Not Collective
2937 
2938   Input Parameters:
2939 + dm        - The DMPlex object
2940 . dim       - The spatial dimension of the problem
2941 . numFields - The number of fields in the problem
2942 . numComp   - An array of size numFields that holds the number of components for each field
2943 . numDof    - An array of size numFields*(dim+1) which holds the number of dof for each field on a mesh piece of dimension d
2944 . numBC     - The number of boundary conditions
2945 . bcField   - An array of size numBC giving the field number for each boundry condition
2946 . bcComps   - [Optional] An array of size numBC giving an IS holding the field components to which each boundary condition applies
2947 . bcPoints  - An array of size numBC giving an IS holding the Plex points to which each boundary condition applies
2948 - perm      - Optional permutation of the chart, or NULL
2949 
2950   Output Parameter:
2951 . section - The PetscSection object
2952 
2953   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
2954   number of dof for field 0 on each edge.
2955 
2956   The chart permutation is the same one set using PetscSectionSetPermutation()
2957 
2958   Level: developer
2959 
2960   Fortran Notes:
2961   A Fortran 90 version is available as DMPlexCreateSectionF90()
2962 
2963 .keywords: mesh, elements
2964 .seealso: DMPlexCreate(), PetscSectionCreate(), PetscSectionSetPermutation()
2965 @*/
2966 PetscErrorCode DMPlexCreateSection(DM dm, PetscInt dim, PetscInt numFields,const PetscInt numComp[],const PetscInt numDof[], PetscInt numBC,const PetscInt bcField[], const IS bcComps[], const IS bcPoints[], IS perm, PetscSection *section)
2967 {
2968   PetscSection   aSec;
2969   PetscErrorCode ierr;
2970 
2971   PetscFunctionBegin;
2972   ierr = DMPlexCreateSectionInitial(dm, dim, numFields, numComp, numDof, section);CHKERRQ(ierr);
2973   ierr = DMPlexCreateSectionBCDof(dm, numBC, bcField, bcComps, bcPoints, *section);CHKERRQ(ierr);
2974   if (perm) {ierr = PetscSectionSetPermutation(*section, perm);CHKERRQ(ierr);}
2975   ierr = PetscSectionSetUp(*section);CHKERRQ(ierr);
2976   ierr = DMPlexGetAnchors(dm,&aSec,NULL);CHKERRQ(ierr);
2977   if (numBC || aSec) {
2978     ierr = DMPlexCreateSectionBCIndicesField(dm, numBC, bcField, bcComps, bcPoints, *section);CHKERRQ(ierr);
2979     ierr = DMPlexCreateSectionBCIndices(dm, *section);CHKERRQ(ierr);
2980   }
2981   ierr = PetscSectionViewFromOptions(*section,NULL,"-section_view");CHKERRQ(ierr);
2982   PetscFunctionReturn(0);
2983 }
2984 
2985 #undef __FUNCT__
2986 #define __FUNCT__ "DMCreateCoordinateDM_Plex"
2987 PetscErrorCode DMCreateCoordinateDM_Plex(DM dm, DM *cdm)
2988 {
2989   PetscSection   section, s;
2990   Mat            m;
2991   PetscErrorCode ierr;
2992 
2993   PetscFunctionBegin;
2994   ierr = DMClone(dm, cdm);CHKERRQ(ierr);
2995   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &section);CHKERRQ(ierr);
2996   ierr = DMSetDefaultSection(*cdm, section);CHKERRQ(ierr);
2997   ierr = PetscSectionDestroy(&section);CHKERRQ(ierr);
2998   ierr = PetscSectionCreate(PETSC_COMM_SELF, &s);CHKERRQ(ierr);
2999   ierr = MatCreate(PETSC_COMM_SELF, &m);CHKERRQ(ierr);
3000   ierr = DMSetDefaultConstraints(*cdm, s, m);CHKERRQ(ierr);
3001   ierr = PetscSectionDestroy(&s);CHKERRQ(ierr);
3002   ierr = MatDestroy(&m);CHKERRQ(ierr);
3003   PetscFunctionReturn(0);
3004 }
3005 
3006 #undef __FUNCT__
3007 #define __FUNCT__ "DMPlexGetConeSection"
3008 PetscErrorCode DMPlexGetConeSection(DM dm, PetscSection *section)
3009 {
3010   DM_Plex *mesh = (DM_Plex*) dm->data;
3011 
3012   PetscFunctionBegin;
3013   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3014   if (section) *section = mesh->coneSection;
3015   PetscFunctionReturn(0);
3016 }
3017 
3018 #undef __FUNCT__
3019 #define __FUNCT__ "DMPlexGetSupportSection"
3020 PetscErrorCode DMPlexGetSupportSection(DM dm, PetscSection *section)
3021 {
3022   DM_Plex *mesh = (DM_Plex*) dm->data;
3023 
3024   PetscFunctionBegin;
3025   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3026   if (section) *section = mesh->supportSection;
3027   PetscFunctionReturn(0);
3028 }
3029 
3030 #undef __FUNCT__
3031 #define __FUNCT__ "DMPlexGetCones"
3032 PetscErrorCode DMPlexGetCones(DM dm, PetscInt *cones[])
3033 {
3034   DM_Plex *mesh = (DM_Plex*) dm->data;
3035 
3036   PetscFunctionBegin;
3037   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3038   if (cones) *cones = mesh->cones;
3039   PetscFunctionReturn(0);
3040 }
3041 
3042 #undef __FUNCT__
3043 #define __FUNCT__ "DMPlexGetConeOrientations"
3044 PetscErrorCode DMPlexGetConeOrientations(DM dm, PetscInt *coneOrientations[])
3045 {
3046   DM_Plex *mesh = (DM_Plex*) dm->data;
3047 
3048   PetscFunctionBegin;
3049   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3050   if (coneOrientations) *coneOrientations = mesh->coneOrientations;
3051   PetscFunctionReturn(0);
3052 }
3053 
3054 /******************************** FEM Support **********************************/
3055 
3056 #undef __FUNCT__
3057 #define __FUNCT__ "DMPlexVecGetClosure_Depth1_Static"
3058 PETSC_STATIC_INLINE PetscErrorCode DMPlexVecGetClosure_Depth1_Static(DM dm, PetscSection section, Vec v, PetscInt point, PetscInt *csize, PetscScalar *values[])
3059 {
3060   PetscScalar    *array, *vArray;
3061   const PetscInt *cone, *coneO;
3062   PetscInt        pStart, pEnd, p, numPoints, size = 0, offset = 0;
3063   PetscErrorCode  ierr;
3064 
3065   PetscFunctionBeginHot;
3066   ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
3067   ierr = DMPlexGetConeSize(dm, point, &numPoints);CHKERRQ(ierr);
3068   ierr = DMPlexGetCone(dm, point, &cone);CHKERRQ(ierr);
3069   ierr = DMPlexGetConeOrientation(dm, point, &coneO);CHKERRQ(ierr);
3070   if (!values || !*values) {
3071     if ((point >= pStart) && (point < pEnd)) {
3072       PetscInt dof;
3073 
3074       ierr = PetscSectionGetDof(section, point, &dof);CHKERRQ(ierr);
3075       size += dof;
3076     }
3077     for (p = 0; p < numPoints; ++p) {
3078       const PetscInt cp = cone[p];
3079       PetscInt       dof;
3080 
3081       if ((cp < pStart) || (cp >= pEnd)) continue;
3082       ierr = PetscSectionGetDof(section, cp, &dof);CHKERRQ(ierr);
3083       size += dof;
3084     }
3085     if (!values) {
3086       if (csize) *csize = size;
3087       PetscFunctionReturn(0);
3088     }
3089     ierr = DMGetWorkArray(dm, size, PETSC_SCALAR, &array);CHKERRQ(ierr);
3090   } else {
3091     array = *values;
3092   }
3093   size = 0;
3094   ierr = VecGetArray(v, &vArray);CHKERRQ(ierr);
3095   if ((point >= pStart) && (point < pEnd)) {
3096     PetscInt     dof, off, d;
3097     PetscScalar *varr;
3098 
3099     ierr = PetscSectionGetDof(section, point, &dof);CHKERRQ(ierr);
3100     ierr = PetscSectionGetOffset(section, point, &off);CHKERRQ(ierr);
3101     varr = &vArray[off];
3102     for (d = 0; d < dof; ++d, ++offset) {
3103       array[offset] = varr[d];
3104     }
3105     size += dof;
3106   }
3107   for (p = 0; p < numPoints; ++p) {
3108     const PetscInt cp = cone[p];
3109     PetscInt       o  = coneO[p];
3110     PetscInt       dof, off, d;
3111     PetscScalar   *varr;
3112 
3113     if ((cp < pStart) || (cp >= pEnd)) continue;
3114     ierr = PetscSectionGetDof(section, cp, &dof);CHKERRQ(ierr);
3115     ierr = PetscSectionGetOffset(section, cp, &off);CHKERRQ(ierr);
3116     varr = &vArray[off];
3117     if (o >= 0) {
3118       for (d = 0; d < dof; ++d, ++offset) {
3119         array[offset] = varr[d];
3120       }
3121     } else {
3122       for (d = dof-1; d >= 0; --d, ++offset) {
3123         array[offset] = varr[d];
3124       }
3125     }
3126     size += dof;
3127   }
3128   ierr = VecRestoreArray(v, &vArray);CHKERRQ(ierr);
3129   if (!*values) {
3130     if (csize) *csize = size;
3131     *values = array;
3132   } else {
3133     if (size > *csize) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Size of input array %d < actual size %d", *csize, size);
3134     *csize = size;
3135   }
3136   PetscFunctionReturn(0);
3137 }
3138 
3139 #undef __FUNCT__
3140 #define __FUNCT__ "DMPlexVecGetClosure_Static"
3141 PETSC_STATIC_INLINE PetscErrorCode DMPlexVecGetClosure_Static(PetscSection section, PetscInt numPoints, const PetscInt points[], const PetscScalar vArray[], PetscInt *size, PetscScalar array[])
3142 {
3143   PetscInt       offset = 0, p;
3144   PetscErrorCode ierr;
3145 
3146   PetscFunctionBeginHot;
3147   *size = 0;
3148   for (p = 0; p < numPoints*2; p += 2) {
3149     const PetscInt point = points[p];
3150     const PetscInt o     = points[p+1];
3151     PetscInt       dof, off, d;
3152     const PetscScalar *varr;
3153 
3154     ierr = PetscSectionGetDof(section, point, &dof);CHKERRQ(ierr);
3155     ierr = PetscSectionGetOffset(section, point, &off);CHKERRQ(ierr);
3156     varr = &vArray[off];
3157     if (o >= 0) {
3158       for (d = 0; d < dof; ++d, ++offset)    array[offset] = varr[d];
3159     } else {
3160       for (d = dof-1; d >= 0; --d, ++offset) array[offset] = varr[d];
3161     }
3162   }
3163   *size = offset;
3164   PetscFunctionReturn(0);
3165 }
3166 
3167 #undef __FUNCT__
3168 #define __FUNCT__ "DMPlexVecGetClosure_Fields_Static"
3169 PETSC_STATIC_INLINE PetscErrorCode DMPlexVecGetClosure_Fields_Static(PetscSection section, PetscInt numPoints, const PetscInt points[], PetscInt numFields, const PetscScalar vArray[], PetscInt *size, PetscScalar array[])
3170 {
3171   PetscInt       offset = 0, f;
3172   PetscErrorCode ierr;
3173 
3174   PetscFunctionBeginHot;
3175   *size = 0;
3176   for (f = 0; f < numFields; ++f) {
3177     PetscInt fcomp, p;
3178 
3179     ierr = PetscSectionGetFieldComponents(section, f, &fcomp);CHKERRQ(ierr);
3180     for (p = 0; p < numPoints*2; p += 2) {
3181       const PetscInt point = points[p];
3182       const PetscInt o     = points[p+1];
3183       PetscInt       fdof, foff, d, c;
3184       const PetscScalar *varr;
3185 
3186       ierr = PetscSectionGetFieldDof(section, point, f, &fdof);CHKERRQ(ierr);
3187       ierr = PetscSectionGetFieldOffset(section, point, f, &foff);CHKERRQ(ierr);
3188       varr = &vArray[foff];
3189       if (o >= 0) {
3190         for (d = 0; d < fdof; ++d, ++offset) array[offset] = varr[d];
3191       } else {
3192         for (d = fdof/fcomp-1; d >= 0; --d) {
3193           for (c = 0; c < fcomp; ++c, ++offset) {
3194             array[offset] = varr[d*fcomp+c];
3195           }
3196         }
3197       }
3198     }
3199   }
3200   *size = offset;
3201   PetscFunctionReturn(0);
3202 }
3203 
3204 #undef __FUNCT__
3205 #define __FUNCT__ "DMPlexVecGetClosure"
3206 /*@C
3207   DMPlexVecGetClosure - Get an array of the values on the closure of 'point'
3208 
3209   Not collective
3210 
3211   Input Parameters:
3212 + dm - The DM
3213 . section - The section describing the layout in v, or NULL to use the default section
3214 . v - The local vector
3215 - point - The sieve point in the DM
3216 
3217   Output Parameters:
3218 + csize - The number of values in the closure, or NULL
3219 - values - The array of values, which is a borrowed array and should not be freed
3220 
3221   Fortran Notes:
3222   Since it returns an array, this routine is only available in Fortran 90, and you must
3223   include petsc.h90 in your code.
3224 
3225   The csize argument is not present in the Fortran 90 binding since it is internal to the array.
3226 
3227   Level: intermediate
3228 
3229 .seealso DMPlexVecRestoreClosure(), DMPlexVecSetClosure(), DMPlexMatSetClosure()
3230 @*/
3231 PetscErrorCode DMPlexVecGetClosure(DM dm, PetscSection section, Vec v, PetscInt point, PetscInt *csize, PetscScalar *values[])
3232 {
3233   PetscSection    clSection;
3234   IS              clPoints;
3235   PetscScalar    *array, *vArray;
3236   PetscInt       *points = NULL;
3237   const PetscInt *clp;
3238   PetscInt        depth, numFields, numPoints, size;
3239   PetscErrorCode  ierr;
3240 
3241   PetscFunctionBeginHot;
3242   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3243   if (!section) {ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);}
3244   PetscValidHeaderSpecific(section, PETSC_SECTION_CLASSID, 2);
3245   PetscValidHeaderSpecific(v, VEC_CLASSID, 3);
3246   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
3247   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
3248   if (depth == 1 && numFields < 2) {
3249     ierr = DMPlexVecGetClosure_Depth1_Static(dm, section, v, point, csize, values);CHKERRQ(ierr);
3250     PetscFunctionReturn(0);
3251   }
3252   /* Get points */
3253   ierr = PetscSectionGetClosureIndex(section, (PetscObject) dm, &clSection, &clPoints);CHKERRQ(ierr);
3254   if (!clPoints) {
3255     PetscInt pStart, pEnd, p, q;
3256 
3257     ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
3258     ierr = DMPlexGetTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
3259     /* Compress out points not in the section */
3260     for (p = 0, q = 0; p < numPoints*2; p += 2) {
3261       if ((points[p] >= pStart) && (points[p] < pEnd)) {
3262         points[q*2]   = points[p];
3263         points[q*2+1] = points[p+1];
3264         ++q;
3265       }
3266     }
3267     numPoints = q;
3268   } else {
3269     PetscInt dof, off;
3270 
3271     ierr = PetscSectionGetDof(clSection, point, &dof);CHKERRQ(ierr);
3272     ierr = PetscSectionGetOffset(clSection, point, &off);CHKERRQ(ierr);
3273     ierr = ISGetIndices(clPoints, &clp);CHKERRQ(ierr);
3274     numPoints = dof/2;
3275     points    = (PetscInt *) &clp[off];
3276   }
3277   /* Get array */
3278   if (!values || !*values) {
3279     PetscInt asize = 0, dof, p;
3280 
3281     for (p = 0; p < numPoints*2; p += 2) {
3282       ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
3283       asize += dof;
3284     }
3285     if (!values) {
3286       if (!clPoints) {ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);}
3287       else           {ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);}
3288       if (csize) *csize = asize;
3289       PetscFunctionReturn(0);
3290     }
3291     ierr = DMGetWorkArray(dm, asize, PETSC_SCALAR, &array);CHKERRQ(ierr);
3292   } else {
3293     array = *values;
3294   }
3295   ierr = VecGetArray(v, &vArray);CHKERRQ(ierr);
3296   /* Get values */
3297   if (numFields > 0) {ierr = DMPlexVecGetClosure_Fields_Static(section, numPoints, points, numFields, vArray, &size, array);CHKERRQ(ierr);}
3298   else               {ierr = DMPlexVecGetClosure_Static(section, numPoints, points, vArray, &size, array);CHKERRQ(ierr);}
3299   /* Cleanup points */
3300   if (!clPoints) {ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);}
3301   else           {ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);}
3302   /* Cleanup array */
3303   ierr = VecRestoreArray(v, &vArray);CHKERRQ(ierr);
3304   if (!*values) {
3305     if (csize) *csize = size;
3306     *values = array;
3307   } else {
3308     if (size > *csize) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Size of input array %D < actual size %D", *csize, size);
3309     *csize = size;
3310   }
3311   PetscFunctionReturn(0);
3312 }
3313 
3314 #undef __FUNCT__
3315 #define __FUNCT__ "DMPlexVecRestoreClosure"
3316 /*@C
3317   DMPlexVecRestoreClosure - Restore the array of the values on the closure of 'point'
3318 
3319   Not collective
3320 
3321   Input Parameters:
3322 + dm - The DM
3323 . section - The section describing the layout in v, or NULL to use the default section
3324 . v - The local vector
3325 . point - The sieve point in the DM
3326 . csize - The number of values in the closure, or NULL
3327 - values - The array of values, which is a borrowed array and should not be freed
3328 
3329   Fortran Notes:
3330   Since it returns an array, this routine is only available in Fortran 90, and you must
3331   include petsc.h90 in your code.
3332 
3333   The csize argument is not present in the Fortran 90 binding since it is internal to the array.
3334 
3335   Level: intermediate
3336 
3337 .seealso DMPlexVecGetClosure(), DMPlexVecSetClosure(), DMPlexMatSetClosure()
3338 @*/
3339 PetscErrorCode DMPlexVecRestoreClosure(DM dm, PetscSection section, Vec v, PetscInt point, PetscInt *csize, PetscScalar *values[])
3340 {
3341   PetscInt       size = 0;
3342   PetscErrorCode ierr;
3343 
3344   PetscFunctionBegin;
3345   /* Should work without recalculating size */
3346   ierr = DMRestoreWorkArray(dm, size, PETSC_SCALAR, (void*) values);CHKERRQ(ierr);
3347   PetscFunctionReturn(0);
3348 }
3349 
3350 PETSC_STATIC_INLINE void add   (PetscScalar *x, PetscScalar y) {*x += y;}
3351 PETSC_STATIC_INLINE void insert(PetscScalar *x, PetscScalar y) {*x  = y;}
3352 
3353 #undef __FUNCT__
3354 #define __FUNCT__ "updatePoint_private"
3355 PETSC_STATIC_INLINE PetscErrorCode updatePoint_private(PetscSection section, PetscInt point, PetscInt dof, void (*fuse)(PetscScalar*, PetscScalar), PetscBool setBC, PetscInt orientation, const PetscScalar values[], PetscScalar array[])
3356 {
3357   PetscInt        cdof;   /* The number of constraints on this point */
3358   const PetscInt *cdofs; /* The indices of the constrained dofs on this point */
3359   PetscScalar    *a;
3360   PetscInt        off, cind = 0, k;
3361   PetscErrorCode  ierr;
3362 
3363   PetscFunctionBegin;
3364   ierr = PetscSectionGetConstraintDof(section, point, &cdof);CHKERRQ(ierr);
3365   ierr = PetscSectionGetOffset(section, point, &off);CHKERRQ(ierr);
3366   a    = &array[off];
3367   if (!cdof || setBC) {
3368     if (orientation >= 0) {
3369       for (k = 0; k < dof; ++k) {
3370         fuse(&a[k], values[k]);
3371       }
3372     } else {
3373       for (k = 0; k < dof; ++k) {
3374         fuse(&a[k], values[dof-k-1]);
3375       }
3376     }
3377   } else {
3378     ierr = PetscSectionGetConstraintIndices(section, point, &cdofs);CHKERRQ(ierr);
3379     if (orientation >= 0) {
3380       for (k = 0; k < dof; ++k) {
3381         if ((cind < cdof) && (k == cdofs[cind])) {++cind; continue;}
3382         fuse(&a[k], values[k]);
3383       }
3384     } else {
3385       for (k = 0; k < dof; ++k) {
3386         if ((cind < cdof) && (k == cdofs[cind])) {++cind; continue;}
3387         fuse(&a[k], values[dof-k-1]);
3388       }
3389     }
3390   }
3391   PetscFunctionReturn(0);
3392 }
3393 
3394 #undef __FUNCT__
3395 #define __FUNCT__ "updatePointBC_private"
3396 PETSC_STATIC_INLINE PetscErrorCode updatePointBC_private(PetscSection section, PetscInt point, PetscInt dof, void (*fuse)(PetscScalar*, PetscScalar), PetscInt orientation, const PetscScalar values[], PetscScalar array[])
3397 {
3398   PetscInt        cdof;   /* The number of constraints on this point */
3399   const PetscInt *cdofs; /* The indices of the constrained dofs on this point */
3400   PetscScalar    *a;
3401   PetscInt        off, cind = 0, k;
3402   PetscErrorCode  ierr;
3403 
3404   PetscFunctionBegin;
3405   ierr = PetscSectionGetConstraintDof(section, point, &cdof);CHKERRQ(ierr);
3406   ierr = PetscSectionGetOffset(section, point, &off);CHKERRQ(ierr);
3407   a    = &array[off];
3408   if (cdof) {
3409     ierr = PetscSectionGetConstraintIndices(section, point, &cdofs);CHKERRQ(ierr);
3410     if (orientation >= 0) {
3411       for (k = 0; k < dof; ++k) {
3412         if ((cind < cdof) && (k == cdofs[cind])) {
3413           fuse(&a[k], values[k]);
3414           ++cind;
3415         }
3416       }
3417     } else {
3418       for (k = 0; k < dof; ++k) {
3419         if ((cind < cdof) && (k == cdofs[cind])) {
3420           fuse(&a[k], values[dof-k-1]);
3421           ++cind;
3422         }
3423       }
3424     }
3425   }
3426   PetscFunctionReturn(0);
3427 }
3428 
3429 #undef __FUNCT__
3430 #define __FUNCT__ "updatePointFields_private"
3431 PETSC_STATIC_INLINE PetscErrorCode updatePointFields_private(PetscSection section, PetscInt point, PetscInt o, PetscInt f, PetscInt fcomp, void (*fuse)(PetscScalar*, PetscScalar), PetscBool setBC, const PetscScalar values[], PetscInt *offset, PetscScalar array[])
3432 {
3433   PetscScalar    *a;
3434   PetscInt        fdof, foff, fcdof, foffset = *offset;
3435   const PetscInt *fcdofs; /* The indices of the constrained dofs for field f on this point */
3436   PetscInt        cind = 0, k, c;
3437   PetscErrorCode  ierr;
3438 
3439   PetscFunctionBegin;
3440   ierr = PetscSectionGetFieldDof(section, point, f, &fdof);CHKERRQ(ierr);
3441   ierr = PetscSectionGetFieldConstraintDof(section, point, f, &fcdof);CHKERRQ(ierr);
3442   ierr = PetscSectionGetFieldOffset(section, point, f, &foff);CHKERRQ(ierr);
3443   a    = &array[foff];
3444   if (!fcdof || setBC) {
3445     if (o >= 0) {
3446       for (k = 0; k < fdof; ++k) fuse(&a[k], values[foffset+k]);
3447     } else {
3448       for (k = fdof/fcomp-1; k >= 0; --k) {
3449         for (c = 0; c < fcomp; ++c) {
3450           fuse(&a[(fdof/fcomp-1-k)*fcomp+c], values[foffset+k*fcomp+c]);
3451         }
3452       }
3453     }
3454   } else {
3455     ierr = PetscSectionGetFieldConstraintIndices(section, point, f, &fcdofs);CHKERRQ(ierr);
3456     if (o >= 0) {
3457       for (k = 0; k < fdof; ++k) {
3458         if ((cind < fcdof) && (k == fcdofs[cind])) {++cind; continue;}
3459         fuse(&a[k], values[foffset+k]);
3460       }
3461     } else {
3462       for (k = fdof/fcomp-1; k >= 0; --k) {
3463         for (c = 0; c < fcomp; ++c) {
3464           if ((cind < fcdof) && (k*fcomp+c == fcdofs[cind])) {++cind; continue;}
3465           fuse(&a[(fdof/fcomp-1-k)*fcomp+c], values[foffset+k*fcomp+c]);
3466         }
3467       }
3468     }
3469   }
3470   *offset += fdof;
3471   PetscFunctionReturn(0);
3472 }
3473 
3474 #undef __FUNCT__
3475 #define __FUNCT__ "updatePointFieldsBC_private"
3476 PETSC_STATIC_INLINE PetscErrorCode updatePointFieldsBC_private(PetscSection section, PetscInt point, PetscInt o, PetscInt f, PetscInt fcomp, void (*fuse)(PetscScalar*, PetscScalar), const PetscScalar values[], PetscInt *offset, PetscScalar array[])
3477 {
3478   PetscScalar    *a;
3479   PetscInt        fdof, foff, fcdof, foffset = *offset;
3480   const PetscInt *fcdofs; /* The indices of the constrained dofs for field f on this point */
3481   PetscInt        cind = 0, k, c;
3482   PetscErrorCode  ierr;
3483 
3484   PetscFunctionBegin;
3485   ierr = PetscSectionGetFieldDof(section, point, f, &fdof);CHKERRQ(ierr);
3486   ierr = PetscSectionGetFieldConstraintDof(section, point, f, &fcdof);CHKERRQ(ierr);
3487   ierr = PetscSectionGetFieldOffset(section, point, f, &foff);CHKERRQ(ierr);
3488   a    = &array[foff];
3489   if (fcdof) {
3490     ierr = PetscSectionGetFieldConstraintIndices(section, point, f, &fcdofs);CHKERRQ(ierr);
3491     if (o >= 0) {
3492       for (k = 0; k < fdof; ++k) {
3493         if ((cind < fcdof) && (k == fcdofs[cind])) {
3494           fuse(&a[k], values[foffset+k]);
3495           ++cind;
3496         }
3497       }
3498     } else {
3499       for (k = fdof/fcomp-1; k >= 0; --k) {
3500         for (c = 0; c < fcomp; ++c) {
3501           if ((cind < fcdof) && (k*fcomp+c == fcdofs[cind])) {
3502             fuse(&a[(fdof/fcomp-1-k)*fcomp+c], values[foffset+k*fcomp+c]);
3503             ++cind;
3504           }
3505         }
3506       }
3507     }
3508   }
3509   *offset += fdof;
3510   PetscFunctionReturn(0);
3511 }
3512 
3513 #undef __FUNCT__
3514 #define __FUNCT__ "DMPlexVecSetClosure_Static"
3515 PETSC_STATIC_INLINE PetscErrorCode DMPlexVecSetClosure_Static(DM dm, PetscSection section, Vec v, PetscInt point, const PetscScalar values[], InsertMode mode)
3516 {
3517   PetscScalar    *array;
3518   const PetscInt *cone, *coneO;
3519   PetscInt        pStart, pEnd, p, numPoints, off, dof;
3520   PetscErrorCode  ierr;
3521 
3522   PetscFunctionBeginHot;
3523   ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
3524   ierr = DMPlexGetConeSize(dm, point, &numPoints);CHKERRQ(ierr);
3525   ierr = DMPlexGetCone(dm, point, &cone);CHKERRQ(ierr);
3526   ierr = DMPlexGetConeOrientation(dm, point, &coneO);CHKERRQ(ierr);
3527   ierr = VecGetArray(v, &array);CHKERRQ(ierr);
3528   for (p = 0, off = 0; p <= numPoints; ++p, off += dof) {
3529     const PetscInt cp = !p ? point : cone[p-1];
3530     const PetscInt o  = !p ? 0     : coneO[p-1];
3531 
3532     if ((cp < pStart) || (cp >= pEnd)) {dof = 0; continue;}
3533     ierr = PetscSectionGetDof(section, cp, &dof);CHKERRQ(ierr);
3534     /* ADD_VALUES */
3535     {
3536       const PetscInt *cdofs; /* The indices of the constrained dofs on this point */
3537       PetscScalar    *a;
3538       PetscInt        cdof, coff, cind = 0, k;
3539 
3540       ierr = PetscSectionGetConstraintDof(section, cp, &cdof);CHKERRQ(ierr);
3541       ierr = PetscSectionGetOffset(section, cp, &coff);CHKERRQ(ierr);
3542       a    = &array[coff];
3543       if (!cdof) {
3544         if (o >= 0) {
3545           for (k = 0; k < dof; ++k) {
3546             a[k] += values[off+k];
3547           }
3548         } else {
3549           for (k = 0; k < dof; ++k) {
3550             a[k] += values[off+dof-k-1];
3551           }
3552         }
3553       } else {
3554         ierr = PetscSectionGetConstraintIndices(section, cp, &cdofs);CHKERRQ(ierr);
3555         if (o >= 0) {
3556           for (k = 0; k < dof; ++k) {
3557             if ((cind < cdof) && (k == cdofs[cind])) {++cind; continue;}
3558             a[k] += values[off+k];
3559           }
3560         } else {
3561           for (k = 0; k < dof; ++k) {
3562             if ((cind < cdof) && (k == cdofs[cind])) {++cind; continue;}
3563             a[k] += values[off+dof-k-1];
3564           }
3565         }
3566       }
3567     }
3568   }
3569   ierr = VecRestoreArray(v, &array);CHKERRQ(ierr);
3570   PetscFunctionReturn(0);
3571 }
3572 
3573 #undef __FUNCT__
3574 #define __FUNCT__ "DMPlexVecSetClosure"
3575 /*@C
3576   DMPlexVecSetClosure - Set an array of the values on the closure of 'point'
3577 
3578   Not collective
3579 
3580   Input Parameters:
3581 + dm - The DM
3582 . section - The section describing the layout in v, or NULL to use the default section
3583 . v - The local vector
3584 . point - The sieve point in the DM
3585 . values - The array of values
3586 - mode - The insert mode, where INSERT_ALL_VALUES and ADD_ALL_VALUES also overwrite boundary conditions
3587 
3588   Fortran Notes:
3589   This routine is only available in Fortran 90, and you must include petsc.h90 in your code.
3590 
3591   Level: intermediate
3592 
3593 .seealso DMPlexVecGetClosure(), DMPlexMatSetClosure()
3594 @*/
3595 PetscErrorCode DMPlexVecSetClosure(DM dm, PetscSection section, Vec v, PetscInt point, const PetscScalar values[], InsertMode mode)
3596 {
3597   PetscSection    clSection;
3598   IS              clPoints;
3599   PetscScalar    *array;
3600   PetscInt       *points = NULL;
3601   const PetscInt *clp;
3602   PetscInt        depth, numFields, numPoints, p;
3603   PetscErrorCode  ierr;
3604 
3605   PetscFunctionBeginHot;
3606   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3607   if (!section) {ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);}
3608   PetscValidHeaderSpecific(section, PETSC_SECTION_CLASSID, 2);
3609   PetscValidHeaderSpecific(v, VEC_CLASSID, 3);
3610   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
3611   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
3612   if (depth == 1 && numFields < 2 && mode == ADD_VALUES) {
3613     ierr = DMPlexVecSetClosure_Static(dm, section, v, point, values, mode);CHKERRQ(ierr);
3614     PetscFunctionReturn(0);
3615   }
3616   /* Get points */
3617   ierr = PetscSectionGetClosureIndex(section, (PetscObject) dm, &clSection, &clPoints);CHKERRQ(ierr);
3618   if (!clPoints) {
3619     PetscInt pStart, pEnd, q;
3620 
3621     ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
3622     ierr = DMPlexGetTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
3623     /* Compress out points not in the section */
3624     for (p = 0, q = 0; p < numPoints*2; p += 2) {
3625       if ((points[p] >= pStart) && (points[p] < pEnd)) {
3626         points[q*2]   = points[p];
3627         points[q*2+1] = points[p+1];
3628         ++q;
3629       }
3630     }
3631     numPoints = q;
3632   } else {
3633     PetscInt dof, off;
3634 
3635     ierr = PetscSectionGetDof(clSection, point, &dof);CHKERRQ(ierr);
3636     ierr = PetscSectionGetOffset(clSection, point, &off);CHKERRQ(ierr);
3637     ierr = ISGetIndices(clPoints, &clp);CHKERRQ(ierr);
3638     numPoints = dof/2;
3639     points    = (PetscInt *) &clp[off];
3640   }
3641   /* Get array */
3642   ierr = VecGetArray(v, &array);CHKERRQ(ierr);
3643   /* Get values */
3644   if (numFields > 0) {
3645     PetscInt offset = 0, fcomp, f;
3646     for (f = 0; f < numFields; ++f) {
3647       ierr = PetscSectionGetFieldComponents(section, f, &fcomp);CHKERRQ(ierr);
3648       switch (mode) {
3649       case INSERT_VALUES:
3650         for (p = 0; p < numPoints*2; p += 2) {
3651           const PetscInt point = points[p];
3652           const PetscInt o     = points[p+1];
3653           updatePointFields_private(section, point, o, f, fcomp, insert, PETSC_FALSE, values, &offset, array);
3654         } break;
3655       case INSERT_ALL_VALUES:
3656         for (p = 0; p < numPoints*2; p += 2) {
3657           const PetscInt point = points[p];
3658           const PetscInt o     = points[p+1];
3659           updatePointFields_private(section, point, o, f, fcomp, insert, PETSC_TRUE, values, &offset, array);
3660         } break;
3661       case INSERT_BC_VALUES:
3662         for (p = 0; p < numPoints*2; p += 2) {
3663           const PetscInt point = points[p];
3664           const PetscInt o     = points[p+1];
3665           updatePointFieldsBC_private(section, point, o, f, fcomp, insert, values, &offset, array);
3666         } break;
3667       case ADD_VALUES:
3668         for (p = 0; p < numPoints*2; p += 2) {
3669           const PetscInt point = points[p];
3670           const PetscInt o     = points[p+1];
3671           updatePointFields_private(section, point, o, f, fcomp, add, PETSC_FALSE, values, &offset, array);
3672         } break;
3673       case ADD_ALL_VALUES:
3674         for (p = 0; p < numPoints*2; p += 2) {
3675           const PetscInt point = points[p];
3676           const PetscInt o     = points[p+1];
3677           updatePointFields_private(section, point, o, f, fcomp, add, PETSC_TRUE, values, &offset, array);
3678         } break;
3679       default:
3680         SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Invalid insert mode %d", mode);
3681       }
3682     }
3683   } else {
3684     PetscInt dof, off;
3685 
3686     switch (mode) {
3687     case INSERT_VALUES:
3688       for (p = 0, off = 0; p < numPoints*2; p += 2, off += dof) {
3689         PetscInt o = points[p+1];
3690         ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
3691         updatePoint_private(section, points[p], dof, insert, PETSC_FALSE, o, &values[off], array);
3692       } break;
3693     case INSERT_ALL_VALUES:
3694       for (p = 0, off = 0; p < numPoints*2; p += 2, off += dof) {
3695         PetscInt o = points[p+1];
3696         ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
3697         updatePoint_private(section, points[p], dof, insert, PETSC_TRUE,  o, &values[off], array);
3698       } break;
3699     case INSERT_BC_VALUES:
3700       for (p = 0, off = 0; p < numPoints*2; p += 2, off += dof) {
3701         PetscInt o = points[p+1];
3702         ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
3703         updatePointBC_private(section, points[p], dof, insert,  o, &values[off], array);
3704       } break;
3705     case ADD_VALUES:
3706       for (p = 0, off = 0; p < numPoints*2; p += 2, off += dof) {
3707         PetscInt o = points[p+1];
3708         ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
3709         updatePoint_private(section, points[p], dof, add,    PETSC_FALSE, o, &values[off], array);
3710       } break;
3711     case ADD_ALL_VALUES:
3712       for (p = 0, off = 0; p < numPoints*2; p += 2, off += dof) {
3713         PetscInt o = points[p+1];
3714         ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
3715         updatePoint_private(section, points[p], dof, add,    PETSC_TRUE,  o, &values[off], array);
3716       } break;
3717     default:
3718       SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Invalid insert mode %d", mode);
3719     }
3720   }
3721   /* Cleanup points */
3722   if (!clPoints) {ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);}
3723   else           {ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);}
3724   /* Cleanup array */
3725   ierr = VecRestoreArray(v, &array);CHKERRQ(ierr);
3726   PetscFunctionReturn(0);
3727 }
3728 
3729 #undef __FUNCT__
3730 #define __FUNCT__ "DMPlexVecSetFieldClosure_Internal"
3731 PetscErrorCode DMPlexVecSetFieldClosure_Internal(DM dm, PetscSection section, Vec v, PetscBool fieldActive[], PetscInt point, const PetscScalar values[], InsertMode mode)
3732 {
3733   PetscSection    clSection;
3734   IS              clPoints;
3735   PetscScalar    *array;
3736   PetscInt       *points = NULL;
3737   const PetscInt *clp;
3738   PetscInt        numFields, numPoints, p;
3739   PetscInt        offset = 0, fcomp, f;
3740   PetscErrorCode  ierr;
3741 
3742   PetscFunctionBeginHot;
3743   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3744   if (!section) {ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);}
3745   PetscValidHeaderSpecific(section, PETSC_SECTION_CLASSID, 2);
3746   PetscValidHeaderSpecific(v, VEC_CLASSID, 3);
3747   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
3748   /* Get points */
3749   ierr = PetscSectionGetClosureIndex(section, (PetscObject) dm, &clSection, &clPoints);CHKERRQ(ierr);
3750   if (!clPoints) {
3751     PetscInt pStart, pEnd, q;
3752 
3753     ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
3754     ierr = DMPlexGetTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
3755     /* Compress out points not in the section */
3756     for (p = 0, q = 0; p < numPoints*2; p += 2) {
3757       if ((points[p] >= pStart) && (points[p] < pEnd)) {
3758         points[q*2]   = points[p];
3759         points[q*2+1] = points[p+1];
3760         ++q;
3761       }
3762     }
3763     numPoints = q;
3764   } else {
3765     PetscInt dof, off;
3766 
3767     ierr = PetscSectionGetDof(clSection, point, &dof);CHKERRQ(ierr);
3768     ierr = PetscSectionGetOffset(clSection, point, &off);CHKERRQ(ierr);
3769     ierr = ISGetIndices(clPoints, &clp);CHKERRQ(ierr);
3770     numPoints = dof/2;
3771     points    = (PetscInt *) &clp[off];
3772   }
3773   /* Get array */
3774   ierr = VecGetArray(v, &array);CHKERRQ(ierr);
3775   /* Get values */
3776   for (f = 0; f < numFields; ++f) {
3777     ierr = PetscSectionGetFieldComponents(section, f, &fcomp);CHKERRQ(ierr);
3778     if (!fieldActive[f]) {
3779       for (p = 0; p < numPoints*2; p += 2) {
3780         PetscInt fdof;
3781         ierr = PetscSectionGetFieldDof(section, points[p], f, &fdof);CHKERRQ(ierr);
3782         offset += fdof;
3783       }
3784       continue;
3785     }
3786     switch (mode) {
3787     case INSERT_VALUES:
3788       for (p = 0; p < numPoints*2; p += 2) {
3789         const PetscInt point = points[p];
3790         const PetscInt o     = points[p+1];
3791         updatePointFields_private(section, point, o, f, fcomp, insert, PETSC_FALSE, values, &offset, array);
3792       } break;
3793     case INSERT_ALL_VALUES:
3794       for (p = 0; p < numPoints*2; p += 2) {
3795         const PetscInt point = points[p];
3796         const PetscInt o     = points[p+1];
3797         updatePointFields_private(section, point, o, f, fcomp, insert, PETSC_TRUE, values, &offset, array);
3798         } break;
3799     case INSERT_BC_VALUES:
3800       for (p = 0; p < numPoints*2; p += 2) {
3801         const PetscInt point = points[p];
3802         const PetscInt o     = points[p+1];
3803         updatePointFieldsBC_private(section, point, o, f, fcomp, insert, values, &offset, array);
3804       } break;
3805     case ADD_VALUES:
3806       for (p = 0; p < numPoints*2; p += 2) {
3807         const PetscInt point = points[p];
3808         const PetscInt o     = points[p+1];
3809         updatePointFields_private(section, point, o, f, fcomp, add, PETSC_FALSE, values, &offset, array);
3810       } break;
3811     case ADD_ALL_VALUES:
3812       for (p = 0; p < numPoints*2; p += 2) {
3813         const PetscInt point = points[p];
3814         const PetscInt o     = points[p+1];
3815         updatePointFields_private(section, point, o, f, fcomp, add, PETSC_TRUE, values, &offset, array);
3816       } break;
3817     default:
3818       SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Invalid insert mode %d", mode);
3819     }
3820   }
3821   /* Cleanup points */
3822   if (!clPoints) {ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);}
3823   else           {ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);}
3824   /* Cleanup array */
3825   ierr = VecRestoreArray(v, &array);CHKERRQ(ierr);
3826   PetscFunctionReturn(0);
3827 }
3828 
3829 #undef __FUNCT__
3830 #define __FUNCT__ "DMPlexPrintMatSetValues"
3831 PetscErrorCode DMPlexPrintMatSetValues(PetscViewer viewer, Mat A, PetscInt point, PetscInt numRIndices, const PetscInt rindices[], PetscInt numCIndices, const PetscInt cindices[], const PetscScalar values[])
3832 {
3833   PetscMPIInt    rank;
3834   PetscInt       i, j;
3835   PetscErrorCode ierr;
3836 
3837   PetscFunctionBegin;
3838   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &rank);CHKERRQ(ierr);
3839   ierr = PetscViewerASCIIPrintf(viewer, "[%d]mat for sieve point %D\n", rank, point);CHKERRQ(ierr);
3840   for (i = 0; i < numRIndices; i++) {ierr = PetscViewerASCIIPrintf(viewer, "[%d]mat row indices[%D] = %D\n", rank, i, rindices[i]);CHKERRQ(ierr);}
3841   for (i = 0; i < numCIndices; i++) {ierr = PetscViewerASCIIPrintf(viewer, "[%d]mat col indices[%D] = %D\n", rank, i, cindices[i]);CHKERRQ(ierr);}
3842   numCIndices = numCIndices ? numCIndices : numRIndices;
3843   for (i = 0; i < numRIndices; i++) {
3844     ierr = PetscViewerASCIIPrintf(viewer, "[%d]", rank);CHKERRQ(ierr);
3845     for (j = 0; j < numCIndices; j++) {
3846 #if defined(PETSC_USE_COMPLEX)
3847       ierr = PetscViewerASCIIPrintf(viewer, " (%g,%g)", (double)PetscRealPart(values[i*numCIndices+j]), (double)PetscImaginaryPart(values[i*numCIndices+j]));CHKERRQ(ierr);
3848 #else
3849       ierr = PetscViewerASCIIPrintf(viewer, " %g", (double)values[i*numCIndices+j]);CHKERRQ(ierr);
3850 #endif
3851     }
3852     ierr = PetscViewerASCIIPrintf(viewer, "\n");CHKERRQ(ierr);
3853   }
3854   PetscFunctionReturn(0);
3855 }
3856 
3857 #undef __FUNCT__
3858 #define __FUNCT__ "indicesPoint_private"
3859 /* . off - The global offset of this point */
3860 PetscErrorCode indicesPoint_private(PetscSection section, PetscInt point, PetscInt off, PetscInt *loff, PetscBool setBC, PetscInt orientation, PetscInt indices[])
3861 {
3862   PetscInt        dof;    /* The number of unknowns on this point */
3863   PetscInt        cdof;   /* The number of constraints on this point */
3864   const PetscInt *cdofs; /* The indices of the constrained dofs on this point */
3865   PetscInt        cind = 0, k;
3866   PetscErrorCode  ierr;
3867 
3868   PetscFunctionBegin;
3869   ierr = PetscSectionGetDof(section, point, &dof);CHKERRQ(ierr);
3870   ierr = PetscSectionGetConstraintDof(section, point, &cdof);CHKERRQ(ierr);
3871   if (!cdof || setBC) {
3872     if (orientation >= 0) {
3873       for (k = 0; k < dof; ++k) indices[*loff+k] = off+k;
3874     } else {
3875       for (k = 0; k < dof; ++k) indices[*loff+dof-k-1] = off+k;
3876     }
3877   } else {
3878     ierr = PetscSectionGetConstraintIndices(section, point, &cdofs);CHKERRQ(ierr);
3879     if (orientation >= 0) {
3880       for (k = 0; k < dof; ++k) {
3881         if ((cind < cdof) && (k == cdofs[cind])) {
3882           /* Insert check for returning constrained indices */
3883           indices[*loff+k] = -(off+k+1);
3884           ++cind;
3885         } else {
3886           indices[*loff+k] = off+k-cind;
3887         }
3888       }
3889     } else {
3890       for (k = 0; k < dof; ++k) {
3891         if ((cind < cdof) && (k == cdofs[cind])) {
3892           /* Insert check for returning constrained indices */
3893           indices[*loff+dof-k-1] = -(off+k+1);
3894           ++cind;
3895         } else {
3896           indices[*loff+dof-k-1] = off+k-cind;
3897         }
3898       }
3899     }
3900   }
3901   *loff += dof;
3902   PetscFunctionReturn(0);
3903 }
3904 
3905 #undef __FUNCT__
3906 #define __FUNCT__ "indicesPointFields_private"
3907 /* . off - The global offset of this point */
3908 PetscErrorCode indicesPointFields_private(PetscSection section, PetscInt point, PetscInt off, PetscInt foffs[], PetscBool setBC, PetscInt orientation, PetscInt indices[])
3909 {
3910   PetscInt       numFields, foff, f;
3911   PetscErrorCode ierr;
3912 
3913   PetscFunctionBegin;
3914   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
3915   for (f = 0, foff = 0; f < numFields; ++f) {
3916     PetscInt        fdof, fcomp, cfdof;
3917     const PetscInt *fcdofs; /* The indices of the constrained dofs for field f on this point */
3918     PetscInt        cind = 0, k, c;
3919 
3920     ierr = PetscSectionGetFieldComponents(section, f, &fcomp);CHKERRQ(ierr);
3921     ierr = PetscSectionGetFieldDof(section, point, f, &fdof);CHKERRQ(ierr);
3922     ierr = PetscSectionGetFieldConstraintDof(section, point, f, &cfdof);CHKERRQ(ierr);
3923     if (!cfdof || setBC) {
3924       if (orientation >= 0) {
3925         for (k = 0; k < fdof; ++k) indices[foffs[f]+k] = off+foff+k;
3926       } else {
3927         for (k = fdof/fcomp-1; k >= 0; --k) {
3928           for (c = 0; c < fcomp; ++c) {
3929             indices[foffs[f]+k*fcomp+c] = off+foff+(fdof/fcomp-1-k)*fcomp+c;
3930           }
3931         }
3932       }
3933     } else {
3934       ierr = PetscSectionGetFieldConstraintIndices(section, point, f, &fcdofs);CHKERRQ(ierr);
3935       if (orientation >= 0) {
3936         for (k = 0; k < fdof; ++k) {
3937           if ((cind < cfdof) && (k == fcdofs[cind])) {
3938             indices[foffs[f]+k] = -(off+foff+k+1);
3939             ++cind;
3940           } else {
3941             indices[foffs[f]+k] = off+foff+k-cind;
3942           }
3943         }
3944       } else {
3945         for (k = fdof/fcomp-1; k >= 0; --k) {
3946           for (c = 0; c < fcomp; ++c) {
3947             if ((cind < cfdof) && ((fdof/fcomp-1-k)*fcomp+c == fcdofs[cind])) {
3948               indices[foffs[f]+k*fcomp+c] = -(off+foff+(fdof/fcomp-1-k)*fcomp+c+1);
3949               ++cind;
3950             } else {
3951               indices[foffs[f]+k*fcomp+c] = off+foff+(fdof/fcomp-1-k)*fcomp+c-cind;
3952             }
3953           }
3954         }
3955       }
3956     }
3957     foff     += (setBC ? fdof : (fdof - cfdof));
3958     foffs[f] += fdof;
3959   }
3960   PetscFunctionReturn(0);
3961 }
3962 
3963 #undef __FUNCT__
3964 #define __FUNCT__ "DMPlexAnchorsModifyMat"
3965 PetscErrorCode DMPlexAnchorsModifyMat(DM dm, PetscSection section, PetscInt numPoints, PetscInt numIndices, const PetscInt points[], const PetscScalar values[], PetscInt *outNumPoints, PetscInt *outNumIndices, PetscInt *outPoints[], PetscScalar *outValues[], PetscInt offsets[], PetscBool multiplyLeft)
3966 {
3967   Mat             cMat;
3968   PetscSection    aSec, cSec;
3969   IS              aIS;
3970   PetscInt        aStart = -1, aEnd = -1;
3971   const PetscInt  *anchors;
3972   PetscInt        numFields, f, p, q, newP = 0;
3973   PetscInt        newNumPoints = 0, newNumIndices = 0;
3974   PetscInt        *newPoints, *indices, *newIndices;
3975   PetscInt        maxAnchor, maxDof;
3976   PetscInt        newOffsets[32];
3977   PetscInt        *pointMatOffsets[32];
3978   PetscInt        *newPointOffsets[32];
3979   PetscScalar     *pointMat[32];
3980   PetscScalar     *newValues=NULL,*tmpValues;
3981   PetscBool       anyConstrained = PETSC_FALSE;
3982   PetscErrorCode  ierr;
3983 
3984   PetscFunctionBegin;
3985   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3986   PetscValidHeaderSpecific(section, PETSC_SECTION_CLASSID, 2);
3987   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
3988 
3989   ierr = DMPlexGetAnchors(dm,&aSec,&aIS);CHKERRQ(ierr);
3990   /* if there are point-to-point constraints */
3991   if (aSec) {
3992     ierr = PetscMemzero(newOffsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
3993     ierr = ISGetIndices(aIS,&anchors);CHKERRQ(ierr);
3994     ierr = PetscSectionGetChart(aSec,&aStart,&aEnd);CHKERRQ(ierr);
3995     /* figure out how many points are going to be in the new element matrix
3996      * (we allow double counting, because it's all just going to be summed
3997      * into the global matrix anyway) */
3998     for (p = 0; p < 2*numPoints; p+=2) {
3999       PetscInt b    = points[p];
4000       PetscInt bDof = 0, bSecDof;
4001 
4002       ierr = PetscSectionGetDof(section,b,&bSecDof);CHKERRQ(ierr);
4003       if (!bSecDof) {
4004         continue;
4005       }
4006       if (b >= aStart && b < aEnd) {
4007         ierr = PetscSectionGetDof(aSec,b,&bDof);CHKERRQ(ierr);
4008       }
4009       if (bDof) {
4010         /* this point is constrained */
4011         /* it is going to be replaced by its anchors */
4012         PetscInt bOff, q;
4013 
4014         anyConstrained = PETSC_TRUE;
4015         newNumPoints  += bDof;
4016         ierr = PetscSectionGetOffset(aSec,b,&bOff);CHKERRQ(ierr);
4017         for (q = 0; q < bDof; q++) {
4018           PetscInt a = anchors[bOff + q];
4019           PetscInt aDof;
4020 
4021           ierr           = PetscSectionGetDof(section,a,&aDof);CHKERRQ(ierr);
4022           newNumIndices += aDof;
4023           for (f = 0; f < numFields; ++f) {
4024             PetscInt fDof;
4025 
4026             ierr             = PetscSectionGetFieldDof(section, a, f, &fDof);CHKERRQ(ierr);
4027             newOffsets[f+1] += fDof;
4028           }
4029         }
4030       }
4031       else {
4032         /* this point is not constrained */
4033         newNumPoints++;
4034         newNumIndices += bSecDof;
4035         for (f = 0; f < numFields; ++f) {
4036           PetscInt fDof;
4037 
4038           ierr = PetscSectionGetFieldDof(section, b, f, &fDof);CHKERRQ(ierr);
4039           newOffsets[f+1] += fDof;
4040         }
4041       }
4042     }
4043   }
4044   if (!anyConstrained) {
4045     if (outNumPoints)  *outNumPoints  = 0;
4046     if (outNumIndices) *outNumIndices = 0;
4047     if (outPoints)     *outPoints     = NULL;
4048     if (outValues)     *outValues     = NULL;
4049     if (aSec) {ierr = ISRestoreIndices(aIS,&anchors);CHKERRQ(ierr);}
4050     PetscFunctionReturn(0);
4051   }
4052 
4053   if (outNumPoints)  *outNumPoints  = newNumPoints;
4054   if (outNumIndices) *outNumIndices = newNumIndices;
4055 
4056   for (f = 1; f < numFields; ++f) newOffsets[f+1] += newOffsets[f];
4057 
4058   if (!outPoints && !outValues) {
4059     if (offsets) {
4060       for (f = 0; f <= numFields; f++) {
4061         offsets[f] = newOffsets[f];
4062       }
4063     }
4064     if (aSec) {ierr = ISRestoreIndices(aIS,&anchors);CHKERRQ(ierr);}
4065     PetscFunctionReturn(0);
4066   }
4067 
4068   if (numFields && newOffsets[numFields] != newNumIndices) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid size for closure %D should be %D", newOffsets[numFields], newNumIndices);
4069 
4070   ierr = DMGetDefaultConstraints(dm, &cSec, &cMat);CHKERRQ(ierr);
4071 
4072   /* workspaces */
4073   if (numFields) {
4074     for (f = 0; f < numFields; f++) {
4075       ierr = DMGetWorkArray(dm,numPoints+1,PETSC_INT,&pointMatOffsets[f]);CHKERRQ(ierr);
4076       ierr = DMGetWorkArray(dm,numPoints+1,PETSC_INT,&newPointOffsets[f]);CHKERRQ(ierr);
4077     }
4078   }
4079   else {
4080     ierr = DMGetWorkArray(dm,numPoints+1,PETSC_INT,&pointMatOffsets[0]);CHKERRQ(ierr);
4081     ierr = DMGetWorkArray(dm,numPoints,PETSC_INT,&newPointOffsets[0]);CHKERRQ(ierr);
4082   }
4083 
4084   /* get workspaces for the point-to-point matrices */
4085   if (numFields) {
4086     PetscInt totalOffset, totalMatOffset;
4087 
4088     for (p = 0; p < numPoints; p++) {
4089       PetscInt b    = points[2*p];
4090       PetscInt bDof = 0, bSecDof;
4091 
4092       ierr = PetscSectionGetDof(section,b,&bSecDof);CHKERRQ(ierr);
4093       if (!bSecDof) {
4094         for (f = 0; f < numFields; f++) {
4095           newPointOffsets[f][p + 1] = 0;
4096           pointMatOffsets[f][p + 1] = 0;
4097         }
4098         continue;
4099       }
4100       if (b >= aStart && b < aEnd) {
4101         ierr = PetscSectionGetDof(aSec, b, &bDof);CHKERRQ(ierr);
4102       }
4103       if (bDof) {
4104         for (f = 0; f < numFields; f++) {
4105           PetscInt fDof, q, bOff, allFDof = 0;
4106 
4107           ierr = PetscSectionGetFieldDof(section, b, f, &fDof);CHKERRQ(ierr);
4108           ierr = PetscSectionGetOffset(aSec, b, &bOff);CHKERRQ(ierr);
4109           for (q = 0; q < bDof; q++) {
4110             PetscInt a = anchors[bOff + q];
4111             PetscInt aFDof;
4112 
4113             ierr     = PetscSectionGetFieldDof(section, a, f, &aFDof);CHKERRQ(ierr);
4114             allFDof += aFDof;
4115           }
4116           newPointOffsets[f][p+1] = allFDof;
4117           pointMatOffsets[f][p+1] = fDof * allFDof;
4118         }
4119       }
4120       else {
4121         for (f = 0; f < numFields; f++) {
4122           PetscInt fDof;
4123 
4124           ierr = PetscSectionGetFieldDof(section, b, f, &fDof);CHKERRQ(ierr);
4125           newPointOffsets[f][p+1] = fDof;
4126           pointMatOffsets[f][p+1] = 0;
4127         }
4128       }
4129     }
4130     for (f = 0, totalOffset = 0, totalMatOffset = 0; f < numFields; f++) {
4131       newPointOffsets[f][0] = totalOffset;
4132       pointMatOffsets[f][0] = totalMatOffset;
4133       for (p = 0; p < numPoints; p++) {
4134         newPointOffsets[f][p+1] += newPointOffsets[f][p];
4135         pointMatOffsets[f][p+1] += pointMatOffsets[f][p];
4136       }
4137       totalOffset    = newPointOffsets[f][numPoints];
4138       totalMatOffset = pointMatOffsets[f][numPoints];
4139       ierr = DMGetWorkArray(dm,pointMatOffsets[f][numPoints],PETSC_SCALAR,&pointMat[f]);CHKERRQ(ierr);
4140     }
4141   }
4142   else {
4143     for (p = 0; p < numPoints; p++) {
4144       PetscInt b    = points[2*p];
4145       PetscInt bDof = 0, bSecDof;
4146 
4147       ierr = PetscSectionGetDof(section,b,&bSecDof);CHKERRQ(ierr);
4148       if (!bSecDof) {
4149         newPointOffsets[0][p + 1] = 0;
4150         pointMatOffsets[0][p + 1] = 0;
4151         continue;
4152       }
4153       if (b >= aStart && b < aEnd) {
4154         ierr = PetscSectionGetDof(aSec, b, &bDof);CHKERRQ(ierr);
4155       }
4156       if (bDof) {
4157         PetscInt bOff, q, allDof = 0;
4158 
4159         ierr = PetscSectionGetOffset(aSec, b, &bOff);CHKERRQ(ierr);
4160         for (q = 0; q < bDof; q++) {
4161           PetscInt a = anchors[bOff + q], aDof;
4162 
4163           ierr    = PetscSectionGetDof(section, a, &aDof);CHKERRQ(ierr);
4164           allDof += aDof;
4165         }
4166         newPointOffsets[0][p+1] = allDof;
4167         pointMatOffsets[0][p+1] = bSecDof * allDof;
4168       }
4169       else {
4170         newPointOffsets[0][p+1] = bSecDof;
4171         pointMatOffsets[0][p+1] = 0;
4172       }
4173     }
4174     newPointOffsets[0][0] = 0;
4175     pointMatOffsets[0][0] = 0;
4176     for (p = 0; p < numPoints; p++) {
4177       newPointOffsets[0][p+1] += newPointOffsets[0][p];
4178       pointMatOffsets[0][p+1] += pointMatOffsets[0][p];
4179     }
4180     ierr = DMGetWorkArray(dm,pointMatOffsets[0][numPoints],PETSC_SCALAR,&pointMat[0]);CHKERRQ(ierr);
4181   }
4182 
4183   /* output arrays */
4184   ierr = DMGetWorkArray(dm,2*newNumPoints,PETSC_INT,&newPoints);CHKERRQ(ierr);
4185 
4186   /* get the point-to-point matrices; construct newPoints */
4187   ierr = PetscSectionGetMaxDof(aSec, &maxAnchor);CHKERRQ(ierr);
4188   ierr = PetscSectionGetMaxDof(section, &maxDof);CHKERRQ(ierr);
4189   ierr = DMGetWorkArray(dm,maxDof,PETSC_INT,&indices);CHKERRQ(ierr);
4190   ierr = DMGetWorkArray(dm,maxAnchor*maxDof,PETSC_INT,&newIndices);CHKERRQ(ierr);
4191   if (numFields) {
4192     for (p = 0, newP = 0; p < numPoints; p++) {
4193       PetscInt b    = points[2*p];
4194       PetscInt o    = points[2*p+1];
4195       PetscInt bDof = 0, bSecDof;
4196 
4197       ierr = PetscSectionGetDof(section, b, &bSecDof);CHKERRQ(ierr);
4198       if (!bSecDof) {
4199         continue;
4200       }
4201       if (b >= aStart && b < aEnd) {
4202         ierr = PetscSectionGetDof(aSec, b, &bDof);CHKERRQ(ierr);
4203       }
4204       if (bDof) {
4205         PetscInt fStart[32], fEnd[32], fAnchorStart[32], fAnchorEnd[32], bOff, q;
4206 
4207         fStart[0] = 0;
4208         fEnd[0]   = 0;
4209         for (f = 0; f < numFields; f++) {
4210           PetscInt fDof;
4211 
4212           ierr        = PetscSectionGetFieldDof(cSec, b, f, &fDof);CHKERRQ(ierr);
4213           fStart[f+1] = fStart[f] + fDof;
4214           fEnd[f+1]   = fStart[f+1];
4215         }
4216         ierr = PetscSectionGetOffset(cSec, b, &bOff);CHKERRQ(ierr);
4217         ierr = indicesPointFields_private(cSec, b, bOff, fEnd, PETSC_TRUE, o, indices);CHKERRQ(ierr);
4218 
4219         fAnchorStart[0] = 0;
4220         fAnchorEnd[0]   = 0;
4221         for (f = 0; f < numFields; f++) {
4222           PetscInt fDof = newPointOffsets[f][p + 1] - newPointOffsets[f][p];
4223 
4224           fAnchorStart[f+1] = fAnchorStart[f] + fDof;
4225           fAnchorEnd[f+1]   = fAnchorStart[f + 1];
4226         }
4227         ierr = PetscSectionGetOffset(aSec, b, &bOff);CHKERRQ(ierr);
4228         for (q = 0; q < bDof; q++) {
4229           PetscInt a = anchors[bOff + q], aOff;
4230 
4231           /* we take the orientation of ap into account in the order that we constructed the indices above: the newly added points have no orientation */
4232           newPoints[2*(newP + q)]     = a;
4233           newPoints[2*(newP + q) + 1] = 0;
4234           ierr = PetscSectionGetOffset(section, a, &aOff);CHKERRQ(ierr);
4235           ierr = indicesPointFields_private(section, a, aOff, fAnchorEnd, PETSC_TRUE, 0, newIndices);CHKERRQ(ierr);
4236         }
4237         newP += bDof;
4238 
4239         if (outValues) {
4240           /* get the point-to-point submatrix */
4241           for (f = 0; f < numFields; f++) {
4242             ierr = MatGetValues(cMat,fEnd[f]-fStart[f],indices + fStart[f],fAnchorEnd[f] - fAnchorStart[f],newIndices + fAnchorStart[f],pointMat[f] + pointMatOffsets[f][p]);CHKERRQ(ierr);
4243           }
4244         }
4245       }
4246       else {
4247         newPoints[2 * newP]     = b;
4248         newPoints[2 * newP + 1] = o;
4249         newP++;
4250       }
4251     }
4252   } else {
4253     for (p = 0; p < numPoints; p++) {
4254       PetscInt b    = points[2*p];
4255       PetscInt o    = points[2*p+1];
4256       PetscInt bDof = 0, bSecDof;
4257 
4258       ierr = PetscSectionGetDof(section, b, &bSecDof);CHKERRQ(ierr);
4259       if (!bSecDof) {
4260         continue;
4261       }
4262       if (b >= aStart && b < aEnd) {
4263         ierr = PetscSectionGetDof(aSec, b, &bDof);CHKERRQ(ierr);
4264       }
4265       if (bDof) {
4266         PetscInt bEnd = 0, bAnchorEnd = 0, bOff;
4267 
4268         ierr = PetscSectionGetOffset(cSec, b, &bOff);CHKERRQ(ierr);
4269         ierr = indicesPoint_private(cSec, b, bOff, &bEnd, PETSC_TRUE, o, indices);CHKERRQ(ierr);
4270 
4271         ierr = PetscSectionGetOffset (aSec, b, &bOff);CHKERRQ(ierr);
4272         for (q = 0; q < bDof; q++) {
4273           PetscInt a = anchors[bOff + q], aOff;
4274 
4275           /* we take the orientation of ap into account in the order that we constructed the indices above: the newly added points have no orientation */
4276 
4277           newPoints[2*(newP + q)]     = a;
4278           newPoints[2*(newP + q) + 1] = 0;
4279           ierr = PetscSectionGetOffset(section, a, &aOff);CHKERRQ(ierr);
4280           ierr = indicesPoint_private(section, a, aOff, &bAnchorEnd, PETSC_TRUE, 0, newIndices);CHKERRQ(ierr);
4281         }
4282         newP += bDof;
4283 
4284         /* get the point-to-point submatrix */
4285         if (outValues) {
4286           ierr = MatGetValues(cMat,bEnd,indices,bAnchorEnd,newIndices,pointMat[0] + pointMatOffsets[0][p]);CHKERRQ(ierr);
4287         }
4288       }
4289       else {
4290         newPoints[2 * newP]     = b;
4291         newPoints[2 * newP + 1] = o;
4292         newP++;
4293       }
4294     }
4295   }
4296 
4297   if (outValues) {
4298     ierr = DMGetWorkArray(dm,newNumIndices*numIndices,PETSC_SCALAR,&tmpValues);CHKERRQ(ierr);
4299     ierr = PetscMemzero(tmpValues,newNumIndices*numIndices*sizeof(*tmpValues));CHKERRQ(ierr);
4300     /* multiply constraints on the right */
4301     if (numFields) {
4302       for (f = 0; f < numFields; f++) {
4303         PetscInt oldOff = offsets[f];
4304 
4305         for (p = 0; p < numPoints; p++) {
4306           PetscInt cStart = newPointOffsets[f][p];
4307           PetscInt b      = points[2 * p];
4308           PetscInt c, r, k;
4309           PetscInt dof;
4310 
4311           ierr = PetscSectionGetFieldDof(section,b,f,&dof);CHKERRQ(ierr);
4312           if (!dof) {
4313             continue;
4314           }
4315           if (pointMatOffsets[f][p] < pointMatOffsets[f][p + 1]) {
4316             PetscInt nCols         = newPointOffsets[f][p+1]-cStart;
4317             const PetscScalar *mat = pointMat[f] + pointMatOffsets[f][p];
4318 
4319             for (r = 0; r < numIndices; r++) {
4320               for (c = 0; c < nCols; c++) {
4321                 for (k = 0; k < dof; k++) {
4322                   tmpValues[r * newNumIndices + cStart + c] += mat[k * nCols + c] * values[r * numIndices + oldOff + k];
4323                 }
4324               }
4325             }
4326           }
4327           else {
4328             /* copy this column as is */
4329             for (r = 0; r < numIndices; r++) {
4330               for (c = 0; c < dof; c++) {
4331                 tmpValues[r * newNumIndices + cStart + c] = values[r * numIndices + oldOff + c];
4332               }
4333             }
4334           }
4335           oldOff += dof;
4336         }
4337       }
4338     }
4339     else {
4340       PetscInt oldOff = 0;
4341       for (p = 0; p < numPoints; p++) {
4342         PetscInt cStart = newPointOffsets[0][p];
4343         PetscInt b      = points[2 * p];
4344         PetscInt c, r, k;
4345         PetscInt dof;
4346 
4347         ierr = PetscSectionGetDof(section,b,&dof);CHKERRQ(ierr);
4348         if (!dof) {
4349           continue;
4350         }
4351         if (pointMatOffsets[0][p] < pointMatOffsets[0][p + 1]) {
4352           PetscInt nCols         = newPointOffsets[0][p+1]-cStart;
4353           const PetscScalar *mat = pointMat[0] + pointMatOffsets[0][p];
4354 
4355           for (r = 0; r < numIndices; r++) {
4356             for (c = 0; c < nCols; c++) {
4357               for (k = 0; k < dof; k++) {
4358                 tmpValues[r * newNumIndices + cStart + c] += mat[k * nCols + c] * values[r * numIndices + oldOff + k];
4359               }
4360             }
4361           }
4362         }
4363         else {
4364           /* copy this column as is */
4365           for (r = 0; r < numIndices; r++) {
4366             for (c = 0; c < dof; c++) {
4367               tmpValues[r * newNumIndices + cStart + c] = values[r * numIndices + oldOff + c];
4368             }
4369           }
4370         }
4371         oldOff += dof;
4372       }
4373     }
4374 
4375     if (multiplyLeft) {
4376       ierr = DMGetWorkArray(dm,newNumIndices*newNumIndices,PETSC_SCALAR,&newValues);CHKERRQ(ierr);
4377       ierr = PetscMemzero(newValues,newNumIndices*newNumIndices*sizeof(*newValues));CHKERRQ(ierr);
4378       /* multiply constraints transpose on the left */
4379       if (numFields) {
4380         for (f = 0; f < numFields; f++) {
4381           PetscInt oldOff = offsets[f];
4382 
4383           for (p = 0; p < numPoints; p++) {
4384             PetscInt rStart = newPointOffsets[f][p];
4385             PetscInt b      = points[2 * p];
4386             PetscInt c, r, k;
4387             PetscInt dof;
4388 
4389             ierr = PetscSectionGetFieldDof(section,b,f,&dof);CHKERRQ(ierr);
4390             if (pointMatOffsets[f][p] < pointMatOffsets[f][p + 1]) {
4391               PetscInt nRows                        = newPointOffsets[f][p+1]-rStart;
4392               const PetscScalar *PETSC_RESTRICT mat = pointMat[f] + pointMatOffsets[f][p];
4393 
4394               for (r = 0; r < nRows; r++) {
4395                 for (c = 0; c < newNumIndices; c++) {
4396                   for (k = 0; k < dof; k++) {
4397                     newValues[(rStart + r) * newNumIndices + c] += mat[k * nRows + r] * tmpValues[(oldOff + k) * newNumIndices + c];
4398                   }
4399                 }
4400               }
4401             }
4402             else {
4403               /* copy this row as is */
4404               for (r = 0; r < dof; r++) {
4405                 for (c = 0; c < newNumIndices; c++) {
4406                   newValues[(rStart + r) * newNumIndices + c] = tmpValues[(oldOff + r) * newNumIndices + c];
4407                 }
4408               }
4409             }
4410             oldOff += dof;
4411           }
4412         }
4413       }
4414       else {
4415         PetscInt oldOff = 0;
4416 
4417         for (p = 0; p < numPoints; p++) {
4418           PetscInt rStart = newPointOffsets[0][p];
4419           PetscInt b      = points[2 * p];
4420           PetscInt c, r, k;
4421           PetscInt dof;
4422 
4423           ierr = PetscSectionGetDof(section,b,&dof);CHKERRQ(ierr);
4424           if (pointMatOffsets[0][p] < pointMatOffsets[0][p + 1]) {
4425             PetscInt nRows                        = newPointOffsets[0][p+1]-rStart;
4426             const PetscScalar *PETSC_RESTRICT mat = pointMat[0] + pointMatOffsets[0][p];
4427 
4428             for (r = 0; r < nRows; r++) {
4429               for (c = 0; c < newNumIndices; c++) {
4430                 for (k = 0; k < dof; k++) {
4431                   newValues[(rStart + r) * newNumIndices + c] += mat[k * nRows + r] * tmpValues[(oldOff + k) * newNumIndices + c];
4432                 }
4433               }
4434             }
4435           }
4436           else {
4437             /* copy this row as is */
4438             for (r = 0; r < dof; c++) {
4439               for (c = 0; c < newNumIndices; c++) {
4440                 newValues[(rStart + r) * newNumIndices + c] = tmpValues[(oldOff + r) * newNumIndices + c];
4441               }
4442             }
4443           }
4444           oldOff += dof;
4445         }
4446       }
4447 
4448       ierr = DMRestoreWorkArray(dm,newNumIndices*numIndices,PETSC_SCALAR,&tmpValues);CHKERRQ(ierr);
4449     }
4450     else {
4451       newValues = tmpValues;
4452     }
4453   }
4454 
4455   /* clean up */
4456   ierr = DMRestoreWorkArray(dm,maxDof,PETSC_INT,&indices);CHKERRQ(ierr);
4457   ierr = DMRestoreWorkArray(dm,maxAnchor*maxDof,PETSC_INT,&newIndices);CHKERRQ(ierr);
4458 
4459   if (numFields) {
4460     for (f = 0; f < numFields; f++) {
4461       ierr = DMRestoreWorkArray(dm,pointMatOffsets[f][numPoints],PETSC_SCALAR,&pointMat[f]);CHKERRQ(ierr);
4462       ierr = DMRestoreWorkArray(dm,numPoints+1,PETSC_INT,&pointMatOffsets[f]);CHKERRQ(ierr);
4463       ierr = DMRestoreWorkArray(dm,numPoints+1,PETSC_INT,&newPointOffsets[f]);CHKERRQ(ierr);
4464     }
4465   }
4466   else {
4467     ierr = DMRestoreWorkArray(dm,pointMatOffsets[0][numPoints],PETSC_SCALAR,&pointMat[0]);CHKERRQ(ierr);
4468     ierr = DMRestoreWorkArray(dm,numPoints+1,PETSC_INT,&pointMatOffsets[0]);CHKERRQ(ierr);
4469     ierr = DMRestoreWorkArray(dm,numPoints+1,PETSC_INT,&newPointOffsets[0]);CHKERRQ(ierr);
4470   }
4471   ierr = ISRestoreIndices(aIS,&anchors);CHKERRQ(ierr);
4472 
4473   /* output */
4474   if (outPoints) {
4475     *outPoints = newPoints;
4476   }
4477   else {
4478     ierr = DMRestoreWorkArray(dm,2*newNumPoints,PETSC_INT,&newPoints);CHKERRQ(ierr);
4479   }
4480   if (outValues) {
4481     *outValues = newValues;
4482   }
4483   for (f = 0; f <= numFields; f++) {
4484     offsets[f] = newOffsets[f];
4485   }
4486   PetscFunctionReturn(0);
4487 }
4488 
4489 #undef __FUNCT__
4490 #define __FUNCT__ "DMPlexGetClosureIndices"
4491 PetscErrorCode DMPlexGetClosureIndices(DM dm, PetscSection section, PetscSection globalSection, PetscInt point, PetscInt *numIndices, PetscInt **indices, PetscInt *outOffsets)
4492 {
4493   PetscSection    clSection;
4494   IS              clPoints;
4495   const PetscInt *clp;
4496   PetscInt       *points = NULL, *pointsNew;
4497   PetscInt        numPoints, numPointsNew;
4498   PetscInt        offsets[32];
4499   PetscInt        Nf, Nind, NindNew, off, globalOff, f, p;
4500   PetscErrorCode  ierr;
4501 
4502   PetscFunctionBegin;
4503   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
4504   PetscValidHeaderSpecific(section, PETSC_SECTION_CLASSID, 2);
4505   PetscValidHeaderSpecific(globalSection, PETSC_SECTION_CLASSID, 3);
4506   if (numIndices) PetscValidPointer(numIndices, 4);
4507   PetscValidPointer(indices, 5);
4508   ierr = PetscSectionGetNumFields(section, &Nf);CHKERRQ(ierr);
4509   if (Nf > 31) SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Number of fields %D limited to 31", Nf);
4510   ierr = PetscMemzero(offsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
4511   /* Get points in closure */
4512   ierr = PetscSectionGetClosureIndex(section, (PetscObject) dm, &clSection, &clPoints);CHKERRQ(ierr);
4513   if (!clPoints) {
4514     PetscInt pStart, pEnd, q;
4515 
4516     ierr = DMPlexGetTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
4517     /* Compress out points not in the section */
4518     ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
4519     for (p = 0, q = 0; p < numPoints*2; p += 2) {
4520       if ((points[p] >= pStart) && (points[p] < pEnd)) {
4521         points[q*2]   = points[p];
4522         points[q*2+1] = points[p+1];
4523         ++q;
4524       }
4525     }
4526     numPoints = q;
4527   } else {
4528     PetscInt dof, off;
4529 
4530     ierr = PetscSectionGetDof(clSection, point, &dof);CHKERRQ(ierr);
4531     numPoints = dof/2;
4532     ierr = PetscSectionGetOffset(clSection, point, &off);CHKERRQ(ierr);
4533     ierr = ISGetIndices(clPoints, &clp);CHKERRQ(ierr);
4534     points = (PetscInt *) &clp[off];
4535   }
4536   /* Get number of indices and indices per field */
4537   for (p = 0, Nind = 0; p < numPoints*2; p += 2) {
4538     PetscInt dof, fdof;
4539 
4540     ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
4541     for (f = 0; f < Nf; ++f) {
4542       ierr = PetscSectionGetFieldDof(section, points[p], f, &fdof);CHKERRQ(ierr);
4543       offsets[f+1] += fdof;
4544     }
4545     Nind += dof;
4546   }
4547   for (f = 1; f < Nf; ++f) offsets[f+1] += offsets[f];
4548   if (Nf && offsets[Nf] != Nind) SETERRQ2(PetscObjectComm((PetscObject) dm), PETSC_ERR_PLIB, "Invalid size for closure %d should be %d", offsets[Nf], Nind);
4549   /* Correct for hanging node constraints */
4550   {
4551     ierr = DMPlexAnchorsModifyMat(dm, section, numPoints, Nind, points, NULL, &numPointsNew, &NindNew, &pointsNew, NULL, offsets, PETSC_TRUE);CHKERRQ(ierr);
4552     if (numPointsNew) {
4553       if (!clPoints) {ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);}
4554       else           {ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);}
4555       numPoints = numPointsNew;
4556       Nind      = NindNew;
4557       points    = pointsNew;
4558     }
4559   }
4560   /* Calculate indices */
4561   ierr = DMGetWorkArray(dm, Nind, PETSC_INT, indices);CHKERRQ(ierr);
4562   if (Nf) {
4563     if (outOffsets) {
4564       PetscInt f;
4565 
4566       for (f = 0; f <= Nf; f++) {
4567         outOffsets[f] = offsets[f];
4568       }
4569     }
4570     for (p = 0; p < numPoints*2; p += 2) {
4571       PetscInt o = points[p+1];
4572       ierr = PetscSectionGetOffset(globalSection, points[p], &globalOff);CHKERRQ(ierr);
4573       indicesPointFields_private(section, points[p], globalOff < 0 ? -(globalOff+1) : globalOff, offsets, PETSC_FALSE, o, *indices);
4574     }
4575   } else {
4576     for (p = 0, off = 0; p < numPoints*2; p += 2) {
4577       PetscInt o = points[p+1];
4578       ierr = PetscSectionGetOffset(globalSection, points[p], &globalOff);CHKERRQ(ierr);
4579       indicesPoint_private(section, points[p], globalOff < 0 ? -(globalOff+1) : globalOff, &off, PETSC_FALSE, o, *indices);
4580     }
4581   }
4582   /* Cleanup points */
4583   if (numPointsNew) {
4584     ierr = DMRestoreWorkArray(dm, 2*numPointsNew, PETSC_INT, &pointsNew);CHKERRQ(ierr);
4585   } else {
4586     if (!clPoints) {ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);}
4587     else           {ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);}
4588   }
4589   if (numIndices) *numIndices = Nind;
4590   PetscFunctionReturn(0);
4591 }
4592 
4593 #undef __FUNCT__
4594 #define __FUNCT__ "DMPlexRestoreClosureIndices"
4595 PetscErrorCode DMPlexRestoreClosureIndices(DM dm, PetscSection section, PetscSection globalSection, PetscInt point, PetscInt *numIndices, PetscInt **indices,PetscInt *outOffsets)
4596 {
4597   PetscErrorCode ierr;
4598 
4599   PetscFunctionBegin;
4600   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
4601   PetscValidPointer(indices, 5);
4602   ierr = DMRestoreWorkArray(dm, 0, PETSC_INT, indices);CHKERRQ(ierr);
4603   PetscFunctionReturn(0);
4604 }
4605 
4606 #undef __FUNCT__
4607 #define __FUNCT__ "DMPlexMatSetClosure"
4608 /*@C
4609   DMPlexMatSetClosure - Set an array of the values on the closure of 'point'
4610 
4611   Not collective
4612 
4613   Input Parameters:
4614 + dm - The DM
4615 . section - The section describing the layout in v, or NULL to use the default section
4616 . globalSection - The section describing the layout in v, or NULL to use the default global section
4617 . A - The matrix
4618 . point - The sieve point in the DM
4619 . values - The array of values
4620 - mode - The insert mode, where INSERT_ALL_VALUES and ADD_ALL_VALUES also overwrite boundary conditions
4621 
4622   Fortran Notes:
4623   This routine is only available in Fortran 90, and you must include petsc.h90 in your code.
4624 
4625   Level: intermediate
4626 
4627 .seealso DMPlexVecGetClosure(), DMPlexVecSetClosure()
4628 @*/
4629 PetscErrorCode DMPlexMatSetClosure(DM dm, PetscSection section, PetscSection globalSection, Mat A, PetscInt point, const PetscScalar values[], InsertMode mode)
4630 {
4631   DM_Plex        *mesh   = (DM_Plex*) dm->data;
4632   PetscSection    clSection;
4633   IS              clPoints;
4634   PetscInt       *points = NULL, *newPoints;
4635   const PetscInt *clp;
4636   PetscInt       *indices;
4637   PetscInt        offsets[32];
4638   PetscInt        numFields, numPoints, newNumPoints, numIndices, newNumIndices, dof, off, globalOff, pStart, pEnd, p, q, f;
4639   PetscScalar    *newValues;
4640   PetscErrorCode  ierr;
4641 
4642   PetscFunctionBegin;
4643   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
4644   if (!section) {ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);}
4645   PetscValidHeaderSpecific(section, PETSC_SECTION_CLASSID, 2);
4646   if (!globalSection) {ierr = DMGetDefaultGlobalSection(dm, &globalSection);CHKERRQ(ierr);}
4647   PetscValidHeaderSpecific(globalSection, PETSC_SECTION_CLASSID, 3);
4648   PetscValidHeaderSpecific(A, MAT_CLASSID, 4);
4649   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
4650   if (numFields > 31) SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Number of fields %D limited to 31", numFields);
4651   ierr = PetscMemzero(offsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
4652   ierr = PetscSectionGetClosureIndex(section, (PetscObject) dm, &clSection, &clPoints);CHKERRQ(ierr);
4653   if (!clPoints) {
4654     ierr = DMPlexGetTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
4655     /* Compress out points not in the section */
4656     ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
4657     for (p = 0, q = 0; p < numPoints*2; p += 2) {
4658       if ((points[p] >= pStart) && (points[p] < pEnd)) {
4659         points[q*2]   = points[p];
4660         points[q*2+1] = points[p+1];
4661         ++q;
4662       }
4663     }
4664     numPoints = q;
4665   } else {
4666     PetscInt dof, off;
4667 
4668     ierr = PetscSectionGetDof(clSection, point, &dof);CHKERRQ(ierr);
4669     numPoints = dof/2;
4670     ierr = PetscSectionGetOffset(clSection, point, &off);CHKERRQ(ierr);
4671     ierr = ISGetIndices(clPoints, &clp);CHKERRQ(ierr);
4672     points = (PetscInt *) &clp[off];
4673   }
4674   for (p = 0, numIndices = 0; p < numPoints*2; p += 2) {
4675     PetscInt fdof;
4676 
4677     ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
4678     for (f = 0; f < numFields; ++f) {
4679       ierr          = PetscSectionGetFieldDof(section, points[p], f, &fdof);CHKERRQ(ierr);
4680       offsets[f+1] += fdof;
4681     }
4682     numIndices += dof;
4683   }
4684   for (f = 1; f < numFields; ++f) offsets[f+1] += offsets[f];
4685 
4686   if (numFields && offsets[numFields] != numIndices) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Invalid size for closure %d should be %d", offsets[numFields], numIndices);
4687   ierr = DMPlexAnchorsModifyMat(dm,section,numPoints,numIndices,points,values,&newNumPoints,&newNumIndices,&newPoints,&newValues,offsets,PETSC_TRUE);CHKERRQ(ierr);
4688   if (newNumPoints) {
4689     if (!clPoints) {
4690       ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
4691     } else {
4692       ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);
4693     }
4694     numPoints  = newNumPoints;
4695     numIndices = newNumIndices;
4696     points     = newPoints;
4697     values     = newValues;
4698   }
4699   ierr = DMGetWorkArray(dm, numIndices, PETSC_INT, &indices);CHKERRQ(ierr);
4700   if (numFields) {
4701     for (p = 0; p < numPoints*2; p += 2) {
4702       PetscInt o = points[p+1];
4703       ierr = PetscSectionGetOffset(globalSection, points[p], &globalOff);CHKERRQ(ierr);
4704       indicesPointFields_private(section, points[p], globalOff < 0 ? -(globalOff+1) : globalOff, offsets, PETSC_FALSE, o, indices);
4705     }
4706   } else {
4707     for (p = 0, off = 0; p < numPoints*2; p += 2) {
4708       PetscInt o = points[p+1];
4709       ierr = PetscSectionGetOffset(globalSection, points[p], &globalOff);CHKERRQ(ierr);
4710       indicesPoint_private(section, points[p], globalOff < 0 ? -(globalOff+1) : globalOff, &off, PETSC_FALSE, o, indices);
4711     }
4712   }
4713   if (mesh->printSetValues) {ierr = DMPlexPrintMatSetValues(PETSC_VIEWER_STDOUT_SELF, A, point, numIndices, indices, 0, NULL, values);CHKERRQ(ierr);}
4714   ierr = MatSetValues(A, numIndices, indices, numIndices, indices, values, mode);
4715   if (mesh->printFEM > 1) {
4716     PetscInt i;
4717     ierr = PetscPrintf(PETSC_COMM_SELF, "  Indices:");CHKERRQ(ierr);
4718     for (i = 0; i < numIndices; ++i) {ierr = PetscPrintf(PETSC_COMM_SELF, " %d", indices[i]);CHKERRQ(ierr);}
4719     ierr = PetscPrintf(PETSC_COMM_SELF, "\n");CHKERRQ(ierr);
4720   }
4721   if (ierr) {
4722     PetscMPIInt    rank;
4723     PetscErrorCode ierr2;
4724 
4725     ierr2 = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &rank);CHKERRQ(ierr2);
4726     ierr2 = (*PetscErrorPrintf)("[%d]ERROR in DMPlexMatSetClosure\n", rank);CHKERRQ(ierr2);
4727     ierr2 = DMPlexPrintMatSetValues(PETSC_VIEWER_STDERR_SELF, A, point, numIndices, indices, 0, NULL, values);CHKERRQ(ierr2);
4728     ierr2 = DMRestoreWorkArray(dm, numIndices, PETSC_INT, &indices);CHKERRQ(ierr2);
4729     CHKERRQ(ierr);
4730   }
4731   if (newNumPoints) {
4732     ierr = DMRestoreWorkArray(dm,newNumIndices*newNumIndices,PETSC_SCALAR,&newValues);CHKERRQ(ierr);
4733     ierr = DMRestoreWorkArray(dm,2*newNumPoints,PETSC_INT,&newPoints);CHKERRQ(ierr);
4734   }
4735   else {
4736     if (!clPoints) {
4737       ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
4738     } else {
4739       ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);
4740     }
4741   }
4742   ierr = DMRestoreWorkArray(dm, numIndices, PETSC_INT, &indices);CHKERRQ(ierr);
4743   PetscFunctionReturn(0);
4744 }
4745 
4746 #undef __FUNCT__
4747 #define __FUNCT__ "DMPlexMatSetClosureRefined"
4748 PetscErrorCode DMPlexMatSetClosureRefined(DM dmf, PetscSection fsection, PetscSection globalFSection, DM dmc, PetscSection csection, PetscSection globalCSection, Mat A, PetscInt point, const PetscScalar values[], InsertMode mode)
4749 {
4750   DM_Plex        *mesh   = (DM_Plex*) dmf->data;
4751   PetscInt       *fpoints = NULL, *ftotpoints = NULL;
4752   PetscInt       *cpoints = NULL;
4753   PetscInt       *findices, *cindices;
4754   PetscInt        foffsets[32], coffsets[32];
4755   CellRefiner     cellRefiner;
4756   PetscInt        numFields, numSubcells, maxFPoints, numFPoints, numCPoints, numFIndices, numCIndices, dof, off, globalOff, pStart, pEnd, p, q, r, s, f;
4757   PetscErrorCode  ierr;
4758 
4759   PetscFunctionBegin;
4760   PetscValidHeaderSpecific(dmf, DM_CLASSID, 1);
4761   PetscValidHeaderSpecific(dmc, DM_CLASSID, 4);
4762   if (!fsection) {ierr = DMGetDefaultSection(dmf, &fsection);CHKERRQ(ierr);}
4763   PetscValidHeaderSpecific(fsection, PETSC_SECTION_CLASSID, 2);
4764   if (!csection) {ierr = DMGetDefaultSection(dmc, &csection);CHKERRQ(ierr);}
4765   PetscValidHeaderSpecific(csection, PETSC_SECTION_CLASSID, 5);
4766   if (!globalFSection) {ierr = DMGetDefaultGlobalSection(dmf, &globalFSection);CHKERRQ(ierr);}
4767   PetscValidHeaderSpecific(globalFSection, PETSC_SECTION_CLASSID, 3);
4768   if (!globalCSection) {ierr = DMGetDefaultGlobalSection(dmc, &globalCSection);CHKERRQ(ierr);}
4769   PetscValidHeaderSpecific(globalCSection, PETSC_SECTION_CLASSID, 6);
4770   PetscValidHeaderSpecific(A, MAT_CLASSID, 7);
4771   ierr = PetscSectionGetNumFields(fsection, &numFields);CHKERRQ(ierr);
4772   if (numFields > 31) SETERRQ1(PetscObjectComm((PetscObject)dmf), PETSC_ERR_ARG_OUTOFRANGE, "Number of fields %D limited to 31", numFields);
4773   ierr = PetscMemzero(foffsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
4774   ierr = PetscMemzero(coffsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
4775   /* Column indices */
4776   ierr = DMPlexGetTransitiveClosure(dmc, point, PETSC_TRUE, &numCPoints, &cpoints);CHKERRQ(ierr);
4777   maxFPoints = numCPoints;
4778   /* Compress out points not in the section */
4779   /*   TODO: Squeeze out points with 0 dof as well */
4780   ierr = PetscSectionGetChart(csection, &pStart, &pEnd);CHKERRQ(ierr);
4781   for (p = 0, q = 0; p < numCPoints*2; p += 2) {
4782     if ((cpoints[p] >= pStart) && (cpoints[p] < pEnd)) {
4783       cpoints[q*2]   = cpoints[p];
4784       cpoints[q*2+1] = cpoints[p+1];
4785       ++q;
4786     }
4787   }
4788   numCPoints = q;
4789   for (p = 0, numCIndices = 0; p < numCPoints*2; p += 2) {
4790     PetscInt fdof;
4791 
4792     ierr = PetscSectionGetDof(csection, cpoints[p], &dof);CHKERRQ(ierr);
4793     if (!dof) continue;
4794     for (f = 0; f < numFields; ++f) {
4795       ierr           = PetscSectionGetFieldDof(csection, cpoints[p], f, &fdof);CHKERRQ(ierr);
4796       coffsets[f+1] += fdof;
4797     }
4798     numCIndices += dof;
4799   }
4800   for (f = 1; f < numFields; ++f) coffsets[f+1] += coffsets[f];
4801   /* Row indices */
4802   ierr = DMPlexGetCellRefiner_Internal(dmc, &cellRefiner);CHKERRQ(ierr);
4803   ierr = CellRefinerGetAffineTransforms_Internal(cellRefiner, &numSubcells, NULL, NULL, NULL);CHKERRQ(ierr);
4804   ierr = DMGetWorkArray(dmf, maxFPoints*2*numSubcells, PETSC_INT, &ftotpoints);CHKERRQ(ierr);
4805   for (r = 0, q = 0; r < numSubcells; ++r) {
4806     /* TODO Map from coarse to fine cells */
4807     ierr = DMPlexGetTransitiveClosure(dmf, point*numSubcells + r, PETSC_TRUE, &numFPoints, &fpoints);CHKERRQ(ierr);
4808     /* Compress out points not in the section */
4809     ierr = PetscSectionGetChart(fsection, &pStart, &pEnd);CHKERRQ(ierr);
4810     for (p = 0; p < numFPoints*2; p += 2) {
4811       if ((fpoints[p] >= pStart) && (fpoints[p] < pEnd)) {
4812         ierr = PetscSectionGetDof(fsection, fpoints[p], &dof);CHKERRQ(ierr);
4813         if (!dof) continue;
4814         for (s = 0; s < q; ++s) if (fpoints[p] == ftotpoints[s*2]) break;
4815         if (s < q) continue;
4816         ftotpoints[q*2]   = fpoints[p];
4817         ftotpoints[q*2+1] = fpoints[p+1];
4818         ++q;
4819       }
4820     }
4821     ierr = DMPlexRestoreTransitiveClosure(dmf, point, PETSC_TRUE, &numFPoints, &fpoints);CHKERRQ(ierr);
4822   }
4823   numFPoints = q;
4824   for (p = 0, numFIndices = 0; p < numFPoints*2; p += 2) {
4825     PetscInt fdof;
4826 
4827     ierr = PetscSectionGetDof(fsection, ftotpoints[p], &dof);CHKERRQ(ierr);
4828     if (!dof) continue;
4829     for (f = 0; f < numFields; ++f) {
4830       ierr           = PetscSectionGetFieldDof(fsection, ftotpoints[p], f, &fdof);CHKERRQ(ierr);
4831       foffsets[f+1] += fdof;
4832     }
4833     numFIndices += dof;
4834   }
4835   for (f = 1; f < numFields; ++f) foffsets[f+1] += foffsets[f];
4836 
4837   if (numFields && foffsets[numFields] != numFIndices) SETERRQ2(PetscObjectComm((PetscObject)dmf), PETSC_ERR_PLIB, "Invalid size for closure %d should be %d", foffsets[numFields], numFIndices);
4838   if (numFields && coffsets[numFields] != numCIndices) SETERRQ2(PetscObjectComm((PetscObject)dmc), PETSC_ERR_PLIB, "Invalid size for closure %d should be %d", coffsets[numFields], numCIndices);
4839   ierr = DMGetWorkArray(dmf, numFIndices, PETSC_INT, &findices);CHKERRQ(ierr);
4840   ierr = DMGetWorkArray(dmc, numCIndices, PETSC_INT, &cindices);CHKERRQ(ierr);
4841   if (numFields) {
4842     for (p = 0; p < numFPoints*2; p += 2) {
4843       PetscInt o = ftotpoints[p+1];
4844       ierr = PetscSectionGetOffset(globalFSection, ftotpoints[p], &globalOff);CHKERRQ(ierr);
4845       indicesPointFields_private(fsection, ftotpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, foffsets, PETSC_FALSE, o, findices);
4846     }
4847     for (p = 0; p < numCPoints*2; p += 2) {
4848       PetscInt o = cpoints[p+1];
4849       ierr = PetscSectionGetOffset(globalCSection, cpoints[p], &globalOff);CHKERRQ(ierr);
4850       indicesPointFields_private(csection, cpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, coffsets, PETSC_FALSE, o, cindices);
4851     }
4852   } else {
4853     for (p = 0, off = 0; p < numFPoints*2; p += 2) {
4854       PetscInt o = ftotpoints[p+1];
4855       ierr = PetscSectionGetOffset(globalFSection, ftotpoints[p], &globalOff);CHKERRQ(ierr);
4856       indicesPoint_private(fsection, ftotpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, &off, PETSC_FALSE, o, findices);
4857     }
4858     for (p = 0, off = 0; p < numCPoints*2; p += 2) {
4859       PetscInt o = cpoints[p+1];
4860       ierr = PetscSectionGetOffset(globalCSection, cpoints[p], &globalOff);CHKERRQ(ierr);
4861       indicesPoint_private(csection, cpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, &off, PETSC_FALSE, o, cindices);
4862     }
4863   }
4864   if (mesh->printSetValues) {ierr = DMPlexPrintMatSetValues(PETSC_VIEWER_STDOUT_SELF, A, point, numFIndices, findices, numCIndices, cindices, values);CHKERRQ(ierr);}
4865   ierr = MatSetValues(A, numFIndices, findices, numCIndices, cindices, values, mode);
4866   if (ierr) {
4867     PetscMPIInt    rank;
4868     PetscErrorCode ierr2;
4869 
4870     ierr2 = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &rank);CHKERRQ(ierr2);
4871     ierr2 = (*PetscErrorPrintf)("[%d]ERROR in DMPlexMatSetClosure\n", rank);CHKERRQ(ierr2);
4872     ierr2 = DMPlexPrintMatSetValues(PETSC_VIEWER_STDERR_SELF, A, point, numFIndices, findices, numCIndices, cindices, values);CHKERRQ(ierr2);
4873     ierr2 = DMRestoreWorkArray(dmf, numFIndices, PETSC_INT, &findices);CHKERRQ(ierr2);
4874     ierr2 = DMRestoreWorkArray(dmc, numCIndices, PETSC_INT, &cindices);CHKERRQ(ierr2);
4875     CHKERRQ(ierr);
4876   }
4877   ierr = DMRestoreWorkArray(dmf, numCPoints*2*4, PETSC_INT, &ftotpoints);CHKERRQ(ierr);
4878   ierr = DMPlexRestoreTransitiveClosure(dmc, point, PETSC_TRUE, &numCPoints, &cpoints);CHKERRQ(ierr);
4879   ierr = DMRestoreWorkArray(dmf, numFIndices, PETSC_INT, &findices);CHKERRQ(ierr);
4880   ierr = DMRestoreWorkArray(dmc, numCIndices, PETSC_INT, &cindices);CHKERRQ(ierr);
4881   PetscFunctionReturn(0);
4882 }
4883 
4884 #undef __FUNCT__
4885 #define __FUNCT__ "DMPlexMatGetClosureIndicesRefined"
4886 PetscErrorCode DMPlexMatGetClosureIndicesRefined(DM dmf, PetscSection fsection, PetscSection globalFSection, DM dmc, PetscSection csection, PetscSection globalCSection, PetscInt point, PetscInt cindices[], PetscInt findices[])
4887 {
4888   PetscInt      *fpoints = NULL, *ftotpoints = NULL;
4889   PetscInt      *cpoints = NULL;
4890   PetscInt       foffsets[32], coffsets[32];
4891   CellRefiner    cellRefiner;
4892   PetscInt       numFields, numSubcells, maxFPoints, numFPoints, numCPoints, numFIndices, numCIndices, dof, off, globalOff, pStart, pEnd, p, q, r, s, f;
4893   PetscErrorCode ierr;
4894 
4895   PetscFunctionBegin;
4896   PetscValidHeaderSpecific(dmf, DM_CLASSID, 1);
4897   PetscValidHeaderSpecific(dmc, DM_CLASSID, 4);
4898   if (!fsection) {ierr = DMGetDefaultSection(dmf, &fsection);CHKERRQ(ierr);}
4899   PetscValidHeaderSpecific(fsection, PETSC_SECTION_CLASSID, 2);
4900   if (!csection) {ierr = DMGetDefaultSection(dmc, &csection);CHKERRQ(ierr);}
4901   PetscValidHeaderSpecific(csection, PETSC_SECTION_CLASSID, 5);
4902   if (!globalFSection) {ierr = DMGetDefaultGlobalSection(dmf, &globalFSection);CHKERRQ(ierr);}
4903   PetscValidHeaderSpecific(globalFSection, PETSC_SECTION_CLASSID, 3);
4904   if (!globalCSection) {ierr = DMGetDefaultGlobalSection(dmc, &globalCSection);CHKERRQ(ierr);}
4905   PetscValidHeaderSpecific(globalCSection, PETSC_SECTION_CLASSID, 6);
4906   ierr = PetscSectionGetNumFields(fsection, &numFields);CHKERRQ(ierr);
4907   if (numFields > 31) SETERRQ1(PetscObjectComm((PetscObject)dmf), PETSC_ERR_ARG_OUTOFRANGE, "Number of fields %D limited to 31", numFields);
4908   ierr = PetscMemzero(foffsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
4909   ierr = PetscMemzero(coffsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
4910   /* Column indices */
4911   ierr = DMPlexGetTransitiveClosure(dmc, point, PETSC_TRUE, &numCPoints, &cpoints);CHKERRQ(ierr);
4912   maxFPoints = numCPoints;
4913   /* Compress out points not in the section */
4914   /*   TODO: Squeeze out points with 0 dof as well */
4915   ierr = PetscSectionGetChart(csection, &pStart, &pEnd);CHKERRQ(ierr);
4916   for (p = 0, q = 0; p < numCPoints*2; p += 2) {
4917     if ((cpoints[p] >= pStart) && (cpoints[p] < pEnd)) {
4918       cpoints[q*2]   = cpoints[p];
4919       cpoints[q*2+1] = cpoints[p+1];
4920       ++q;
4921     }
4922   }
4923   numCPoints = q;
4924   for (p = 0, numCIndices = 0; p < numCPoints*2; p += 2) {
4925     PetscInt fdof;
4926 
4927     ierr = PetscSectionGetDof(csection, cpoints[p], &dof);CHKERRQ(ierr);
4928     if (!dof) continue;
4929     for (f = 0; f < numFields; ++f) {
4930       ierr           = PetscSectionGetFieldDof(csection, cpoints[p], f, &fdof);CHKERRQ(ierr);
4931       coffsets[f+1] += fdof;
4932     }
4933     numCIndices += dof;
4934   }
4935   for (f = 1; f < numFields; ++f) coffsets[f+1] += coffsets[f];
4936   /* Row indices */
4937   ierr = DMPlexGetCellRefiner_Internal(dmc, &cellRefiner);CHKERRQ(ierr);
4938   ierr = CellRefinerGetAffineTransforms_Internal(cellRefiner, &numSubcells, NULL, NULL, NULL);CHKERRQ(ierr);
4939   ierr = DMGetWorkArray(dmf, maxFPoints*2*numSubcells, PETSC_INT, &ftotpoints);CHKERRQ(ierr);
4940   for (r = 0, q = 0; r < numSubcells; ++r) {
4941     /* TODO Map from coarse to fine cells */
4942     ierr = DMPlexGetTransitiveClosure(dmf, point*numSubcells + r, PETSC_TRUE, &numFPoints, &fpoints);CHKERRQ(ierr);
4943     /* Compress out points not in the section */
4944     ierr = PetscSectionGetChart(fsection, &pStart, &pEnd);CHKERRQ(ierr);
4945     for (p = 0; p < numFPoints*2; p += 2) {
4946       if ((fpoints[p] >= pStart) && (fpoints[p] < pEnd)) {
4947         ierr = PetscSectionGetDof(fsection, fpoints[p], &dof);CHKERRQ(ierr);
4948         if (!dof) continue;
4949         for (s = 0; s < q; ++s) if (fpoints[p] == ftotpoints[s*2]) break;
4950         if (s < q) continue;
4951         ftotpoints[q*2]   = fpoints[p];
4952         ftotpoints[q*2+1] = fpoints[p+1];
4953         ++q;
4954       }
4955     }
4956     ierr = DMPlexRestoreTransitiveClosure(dmf, point, PETSC_TRUE, &numFPoints, &fpoints);CHKERRQ(ierr);
4957   }
4958   numFPoints = q;
4959   for (p = 0, numFIndices = 0; p < numFPoints*2; p += 2) {
4960     PetscInt fdof;
4961 
4962     ierr = PetscSectionGetDof(fsection, ftotpoints[p], &dof);CHKERRQ(ierr);
4963     if (!dof) continue;
4964     for (f = 0; f < numFields; ++f) {
4965       ierr           = PetscSectionGetFieldDof(fsection, ftotpoints[p], f, &fdof);CHKERRQ(ierr);
4966       foffsets[f+1] += fdof;
4967     }
4968     numFIndices += dof;
4969   }
4970   for (f = 1; f < numFields; ++f) foffsets[f+1] += foffsets[f];
4971 
4972   if (numFields && foffsets[numFields] != numFIndices) SETERRQ2(PetscObjectComm((PetscObject)dmf), PETSC_ERR_PLIB, "Invalid size for closure %d should be %d", foffsets[numFields], numFIndices);
4973   if (numFields && coffsets[numFields] != numCIndices) SETERRQ2(PetscObjectComm((PetscObject)dmc), PETSC_ERR_PLIB, "Invalid size for closure %d should be %d", coffsets[numFields], numCIndices);
4974   if (numFields) {
4975     for (p = 0; p < numFPoints*2; p += 2) {
4976       PetscInt o = ftotpoints[p+1];
4977       ierr = PetscSectionGetOffset(globalFSection, ftotpoints[p], &globalOff);CHKERRQ(ierr);
4978       indicesPointFields_private(fsection, ftotpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, foffsets, PETSC_FALSE, o, findices);
4979     }
4980     for (p = 0; p < numCPoints*2; p += 2) {
4981       PetscInt o = cpoints[p+1];
4982       ierr = PetscSectionGetOffset(globalCSection, cpoints[p], &globalOff);CHKERRQ(ierr);
4983       indicesPointFields_private(csection, cpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, coffsets, PETSC_FALSE, o, cindices);
4984     }
4985   } else {
4986     for (p = 0, off = 0; p < numFPoints*2; p += 2) {
4987       PetscInt o = ftotpoints[p+1];
4988       ierr = PetscSectionGetOffset(globalFSection, ftotpoints[p], &globalOff);CHKERRQ(ierr);
4989       indicesPoint_private(fsection, ftotpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, &off, PETSC_FALSE, o, findices);
4990     }
4991     for (p = 0, off = 0; p < numCPoints*2; p += 2) {
4992       PetscInt o = cpoints[p+1];
4993       ierr = PetscSectionGetOffset(globalCSection, cpoints[p], &globalOff);CHKERRQ(ierr);
4994       indicesPoint_private(csection, cpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, &off, PETSC_FALSE, o, cindices);
4995     }
4996   }
4997   ierr = DMRestoreWorkArray(dmf, numCPoints*2*4, PETSC_INT, &ftotpoints);CHKERRQ(ierr);
4998   ierr = DMPlexRestoreTransitiveClosure(dmc, point, PETSC_TRUE, &numCPoints, &cpoints);CHKERRQ(ierr);
4999   PetscFunctionReturn(0);
5000 }
5001 
5002 #undef __FUNCT__
5003 #define __FUNCT__ "DMPlexGetHybridBounds"
5004 /*@
5005   DMPlexGetHybridBounds - Get the first mesh point of each dimension which is a hybrid
5006 
5007   Input Parameter:
5008 . dm - The DMPlex object
5009 
5010   Output Parameters:
5011 + cMax - The first hybrid cell
5012 . fMax - The first hybrid face
5013 . eMax - The first hybrid edge
5014 - vMax - The first hybrid vertex
5015 
5016   Level: developer
5017 
5018 .seealso DMPlexCreateHybridMesh(), DMPlexSetHybridBounds()
5019 @*/
5020 PetscErrorCode DMPlexGetHybridBounds(DM dm, PetscInt *cMax, PetscInt *fMax, PetscInt *eMax, PetscInt *vMax)
5021 {
5022   DM_Plex       *mesh = (DM_Plex*) dm->data;
5023   PetscInt       dim;
5024   PetscErrorCode ierr;
5025 
5026   PetscFunctionBegin;
5027   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5028   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
5029   if (cMax) *cMax = mesh->hybridPointMax[dim];
5030   if (fMax) *fMax = mesh->hybridPointMax[dim-1];
5031   if (eMax) *eMax = mesh->hybridPointMax[1];
5032   if (vMax) *vMax = mesh->hybridPointMax[0];
5033   PetscFunctionReturn(0);
5034 }
5035 
5036 #undef __FUNCT__
5037 #define __FUNCT__ "DMPlexSetHybridBounds"
5038 /*@
5039   DMPlexSetHybridBounds - Set the first mesh point of each dimension which is a hybrid
5040 
5041   Input Parameters:
5042 . dm   - The DMPlex object
5043 . cMax - The first hybrid cell
5044 . fMax - The first hybrid face
5045 . eMax - The first hybrid edge
5046 - vMax - The first hybrid vertex
5047 
5048   Level: developer
5049 
5050 .seealso DMPlexCreateHybridMesh(), DMPlexGetHybridBounds()
5051 @*/
5052 PetscErrorCode DMPlexSetHybridBounds(DM dm, PetscInt cMax, PetscInt fMax, PetscInt eMax, PetscInt vMax)
5053 {
5054   DM_Plex       *mesh = (DM_Plex*) dm->data;
5055   PetscInt       dim;
5056   PetscErrorCode ierr;
5057 
5058   PetscFunctionBegin;
5059   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5060   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
5061   if (cMax >= 0) mesh->hybridPointMax[dim]   = cMax;
5062   if (fMax >= 0) mesh->hybridPointMax[dim-1] = fMax;
5063   if (eMax >= 0) mesh->hybridPointMax[1]     = eMax;
5064   if (vMax >= 0) mesh->hybridPointMax[0]     = vMax;
5065   PetscFunctionReturn(0);
5066 }
5067 
5068 #undef __FUNCT__
5069 #define __FUNCT__ "DMPlexGetVTKCellHeight"
5070 PetscErrorCode DMPlexGetVTKCellHeight(DM dm, PetscInt *cellHeight)
5071 {
5072   DM_Plex *mesh = (DM_Plex*) dm->data;
5073 
5074   PetscFunctionBegin;
5075   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5076   PetscValidPointer(cellHeight, 2);
5077   *cellHeight = mesh->vtkCellHeight;
5078   PetscFunctionReturn(0);
5079 }
5080 
5081 #undef __FUNCT__
5082 #define __FUNCT__ "DMPlexSetVTKCellHeight"
5083 PetscErrorCode DMPlexSetVTKCellHeight(DM dm, PetscInt cellHeight)
5084 {
5085   DM_Plex *mesh = (DM_Plex*) dm->data;
5086 
5087   PetscFunctionBegin;
5088   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5089   mesh->vtkCellHeight = cellHeight;
5090   PetscFunctionReturn(0);
5091 }
5092 
5093 #undef __FUNCT__
5094 #define __FUNCT__ "DMPlexCreateNumbering_Private"
5095 /* We can easily have a form that takes an IS instead */
5096 static PetscErrorCode DMPlexCreateNumbering_Private(DM dm, PetscInt pStart, PetscInt pEnd, PetscInt shift, PetscInt *globalSize, PetscSF sf, IS *numbering)
5097 {
5098   PetscSection   section, globalSection;
5099   PetscInt      *numbers, p;
5100   PetscErrorCode ierr;
5101 
5102   PetscFunctionBegin;
5103   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &section);CHKERRQ(ierr);
5104   ierr = PetscSectionSetChart(section, pStart, pEnd);CHKERRQ(ierr);
5105   for (p = pStart; p < pEnd; ++p) {
5106     ierr = PetscSectionSetDof(section, p, 1);CHKERRQ(ierr);
5107   }
5108   ierr = PetscSectionSetUp(section);CHKERRQ(ierr);
5109   ierr = PetscSectionCreateGlobalSection(section, sf, PETSC_FALSE, PETSC_FALSE, &globalSection);CHKERRQ(ierr);
5110   ierr = PetscMalloc1(pEnd - pStart, &numbers);CHKERRQ(ierr);
5111   for (p = pStart; p < pEnd; ++p) {
5112     ierr = PetscSectionGetOffset(globalSection, p, &numbers[p-pStart]);CHKERRQ(ierr);
5113     if (numbers[p-pStart] < 0) numbers[p-pStart] -= shift;
5114     else                       numbers[p-pStart] += shift;
5115   }
5116   ierr = ISCreateGeneral(PetscObjectComm((PetscObject) dm), pEnd - pStart, numbers, PETSC_OWN_POINTER, numbering);CHKERRQ(ierr);
5117   if (globalSize) {
5118     PetscLayout layout;
5119     ierr = PetscSectionGetPointLayout(PetscObjectComm((PetscObject) dm), globalSection, &layout);CHKERRQ(ierr);
5120     ierr = PetscLayoutGetSize(layout, globalSize);CHKERRQ(ierr);
5121     ierr = PetscLayoutDestroy(&layout);CHKERRQ(ierr);
5122   }
5123   ierr = PetscSectionDestroy(&section);CHKERRQ(ierr);
5124   ierr = PetscSectionDestroy(&globalSection);CHKERRQ(ierr);
5125   PetscFunctionReturn(0);
5126 }
5127 
5128 #undef __FUNCT__
5129 #define __FUNCT__ "DMPlexGetCellNumbering"
5130 PetscErrorCode DMPlexGetCellNumbering(DM dm, IS *globalCellNumbers)
5131 {
5132   DM_Plex       *mesh = (DM_Plex*) dm->data;
5133   PetscInt       cellHeight, cStart, cEnd, cMax;
5134   PetscErrorCode ierr;
5135 
5136   PetscFunctionBegin;
5137   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5138   if (!mesh->globalCellNumbers) {
5139     ierr = DMPlexGetVTKCellHeight(dm, &cellHeight);CHKERRQ(ierr);
5140     ierr = DMPlexGetHeightStratum(dm, cellHeight, &cStart, &cEnd);CHKERRQ(ierr);
5141     ierr = DMPlexGetHybridBounds(dm, &cMax, NULL, NULL, NULL);CHKERRQ(ierr);
5142     if (cMax >= 0) cEnd = PetscMin(cEnd, cMax);
5143     ierr = DMPlexCreateNumbering_Private(dm, cStart, cEnd, 0, NULL, dm->sf, &mesh->globalCellNumbers);CHKERRQ(ierr);
5144   }
5145   *globalCellNumbers = mesh->globalCellNumbers;
5146   PetscFunctionReturn(0);
5147 }
5148 
5149 #undef __FUNCT__
5150 #define __FUNCT__ "DMPlexGetVertexNumbering"
5151 PetscErrorCode DMPlexGetVertexNumbering(DM dm, IS *globalVertexNumbers)
5152 {
5153   DM_Plex       *mesh = (DM_Plex*) dm->data;
5154   PetscInt       vStart, vEnd, vMax;
5155   PetscErrorCode ierr;
5156 
5157   PetscFunctionBegin;
5158   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5159   if (!mesh->globalVertexNumbers) {
5160     ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
5161     ierr = DMPlexGetHybridBounds(dm, NULL, NULL, NULL, &vMax);CHKERRQ(ierr);
5162     if (vMax >= 0) vEnd = PetscMin(vEnd, vMax);
5163     ierr = DMPlexCreateNumbering_Private(dm, vStart, vEnd, 0, NULL, dm->sf, &mesh->globalVertexNumbers);CHKERRQ(ierr);
5164   }
5165   *globalVertexNumbers = mesh->globalVertexNumbers;
5166   PetscFunctionReturn(0);
5167 }
5168 
5169 #undef __FUNCT__
5170 #define __FUNCT__ "DMPlexCreatePointNumbering"
5171 PetscErrorCode DMPlexCreatePointNumbering(DM dm, IS *globalPointNumbers)
5172 {
5173   IS             nums[4];
5174   PetscInt       depths[4];
5175   PetscInt       depth, d, shift = 0;
5176   PetscErrorCode ierr;
5177 
5178   PetscFunctionBegin;
5179   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5180   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
5181   /* For unstratified meshes use dim instead of depth */
5182   if (depth < 0) {ierr = DMGetDimension(dm, &depth);CHKERRQ(ierr);}
5183   depths[0] = depth; depths[1] = 0;
5184   for (d = 2; d <= depth; ++d) depths[d] = depth-d+1;
5185   for (d = 0; d <= depth; ++d) {
5186     PetscInt pStart, pEnd, gsize;
5187 
5188     ierr = DMPlexGetDepthStratum(dm, depths[d], &pStart, &pEnd);CHKERRQ(ierr);
5189     ierr = DMPlexCreateNumbering_Private(dm, pStart, pEnd, shift, &gsize, dm->sf, &nums[d]);CHKERRQ(ierr);
5190     shift += gsize;
5191   }
5192   ierr = ISConcatenate(PetscObjectComm((PetscObject) dm), depth+1, nums, globalPointNumbers);CHKERRQ(ierr);
5193   for (d = 0; d <= depth; ++d) {ierr = ISDestroy(&nums[d]);CHKERRQ(ierr);}
5194   PetscFunctionReturn(0);
5195 }
5196 
5197 #undef __FUNCT__
5198 #define __FUNCT__ "DMPlexCheckSymmetry"
5199 /*@
5200   DMPlexCheckSymmetry - Check that the adjacency information in the mesh is symmetric.
5201 
5202   Input Parameters:
5203   + dm - The DMPlex object
5204 
5205   Note: This is a useful diagnostic when creating meshes programmatically.
5206 
5207   Level: developer
5208 
5209 .seealso: DMCreate(), DMCheckSkeleton(), DMCheckFaces()
5210 @*/
5211 PetscErrorCode DMPlexCheckSymmetry(DM dm)
5212 {
5213   PetscSection    coneSection, supportSection;
5214   const PetscInt *cone, *support;
5215   PetscInt        coneSize, c, supportSize, s;
5216   PetscInt        pStart, pEnd, p, csize, ssize;
5217   PetscErrorCode  ierr;
5218 
5219   PetscFunctionBegin;
5220   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5221   ierr = DMPlexGetConeSection(dm, &coneSection);CHKERRQ(ierr);
5222   ierr = DMPlexGetSupportSection(dm, &supportSection);CHKERRQ(ierr);
5223   /* Check that point p is found in the support of its cone points, and vice versa */
5224   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
5225   for (p = pStart; p < pEnd; ++p) {
5226     ierr = DMPlexGetConeSize(dm, p, &coneSize);CHKERRQ(ierr);
5227     ierr = DMPlexGetCone(dm, p, &cone);CHKERRQ(ierr);
5228     for (c = 0; c < coneSize; ++c) {
5229       PetscBool dup = PETSC_FALSE;
5230       PetscInt  d;
5231       for (d = c-1; d >= 0; --d) {
5232         if (cone[c] == cone[d]) {dup = PETSC_TRUE; break;}
5233       }
5234       ierr = DMPlexGetSupportSize(dm, cone[c], &supportSize);CHKERRQ(ierr);
5235       ierr = DMPlexGetSupport(dm, cone[c], &support);CHKERRQ(ierr);
5236       for (s = 0; s < supportSize; ++s) {
5237         if (support[s] == p) break;
5238       }
5239       if ((s >= supportSize) || (dup && (support[s+1] != p))) {
5240         ierr = PetscPrintf(PETSC_COMM_SELF, "p: %d cone: ", p);CHKERRQ(ierr);
5241         for (s = 0; s < coneSize; ++s) {
5242           ierr = PetscPrintf(PETSC_COMM_SELF, "%d, ", cone[s]);CHKERRQ(ierr);
5243         }
5244         ierr = PetscPrintf(PETSC_COMM_SELF, "\n");CHKERRQ(ierr);
5245         ierr = PetscPrintf(PETSC_COMM_SELF, "p: %d support: ", cone[c]);CHKERRQ(ierr);
5246         for (s = 0; s < supportSize; ++s) {
5247           ierr = PetscPrintf(PETSC_COMM_SELF, "%d, ", support[s]);CHKERRQ(ierr);
5248         }
5249         ierr = PetscPrintf(PETSC_COMM_SELF, "\n");CHKERRQ(ierr);
5250         if (dup) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Point %d not repeatedly found in support of repeated cone point %d", p, cone[c]);
5251         else SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Point %d not found in support of cone point %d", p, cone[c]);
5252       }
5253     }
5254     ierr = DMPlexGetSupportSize(dm, p, &supportSize);CHKERRQ(ierr);
5255     ierr = DMPlexGetSupport(dm, p, &support);CHKERRQ(ierr);
5256     for (s = 0; s < supportSize; ++s) {
5257       ierr = DMPlexGetConeSize(dm, support[s], &coneSize);CHKERRQ(ierr);
5258       ierr = DMPlexGetCone(dm, support[s], &cone);CHKERRQ(ierr);
5259       for (c = 0; c < coneSize; ++c) {
5260         if (cone[c] == p) break;
5261       }
5262       if (c >= coneSize) {
5263         ierr = PetscPrintf(PETSC_COMM_SELF, "p: %d support: ", p);CHKERRQ(ierr);
5264         for (c = 0; c < supportSize; ++c) {
5265           ierr = PetscPrintf(PETSC_COMM_SELF, "%d, ", support[c]);CHKERRQ(ierr);
5266         }
5267         ierr = PetscPrintf(PETSC_COMM_SELF, "\n");CHKERRQ(ierr);
5268         ierr = PetscPrintf(PETSC_COMM_SELF, "p: %d cone: ", support[s]);CHKERRQ(ierr);
5269         for (c = 0; c < coneSize; ++c) {
5270           ierr = PetscPrintf(PETSC_COMM_SELF, "%d, ", cone[c]);CHKERRQ(ierr);
5271         }
5272         ierr = PetscPrintf(PETSC_COMM_SELF, "\n");CHKERRQ(ierr);
5273         SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Point %d not found in cone of support point %d", p, support[s]);
5274       }
5275     }
5276   }
5277   ierr = PetscSectionGetStorageSize(coneSection, &csize);CHKERRQ(ierr);
5278   ierr = PetscSectionGetStorageSize(supportSection, &ssize);CHKERRQ(ierr);
5279   if (csize != ssize) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Total cone size %d != Total support size %d", csize, ssize);
5280   PetscFunctionReturn(0);
5281 }
5282 
5283 #undef __FUNCT__
5284 #define __FUNCT__ "DMPlexCheckSkeleton"
5285 /*@
5286   DMPlexCheckSkeleton - Check that each cell has the correct number of vertices
5287 
5288   Input Parameters:
5289 + dm - The DMPlex object
5290 . isSimplex - Are the cells simplices or tensor products
5291 - cellHeight - Normally 0
5292 
5293   Note: This is a useful diagnostic when creating meshes programmatically.
5294 
5295   Level: developer
5296 
5297 .seealso: DMCreate(), DMCheckSymmetry(), DMCheckFaces()
5298 @*/
5299 PetscErrorCode DMPlexCheckSkeleton(DM dm, PetscBool isSimplex, PetscInt cellHeight)
5300 {
5301   PetscInt       dim, numCorners, numHybridCorners, vStart, vEnd, cStart, cEnd, cMax, c;
5302   PetscErrorCode ierr;
5303 
5304   PetscFunctionBegin;
5305   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5306   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
5307   switch (dim) {
5308   case 1: numCorners = isSimplex ? 2 : 2; numHybridCorners = isSimplex ? 2 : 2; break;
5309   case 2: numCorners = isSimplex ? 3 : 4; numHybridCorners = isSimplex ? 4 : 4; break;
5310   case 3: numCorners = isSimplex ? 4 : 8; numHybridCorners = isSimplex ? 6 : 8; break;
5311   default:
5312     SETERRQ1(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_OUTOFRANGE, "Cannot handle meshes of dimension %d", dim);
5313   }
5314   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
5315   ierr = DMPlexGetHeightStratum(dm, cellHeight, &cStart, &cEnd);CHKERRQ(ierr);
5316   ierr = DMPlexGetHybridBounds(dm, &cMax, NULL, NULL, NULL);CHKERRQ(ierr);
5317   cMax = cMax >= 0 ? cMax : cEnd;
5318   for (c = cStart; c < cMax; ++c) {
5319     PetscInt *closure = NULL, closureSize, cl, coneSize = 0;
5320 
5321     ierr = DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
5322     for (cl = 0; cl < closureSize*2; cl += 2) {
5323       const PetscInt p = closure[cl];
5324       if ((p >= vStart) && (p < vEnd)) ++coneSize;
5325     }
5326     ierr = DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
5327     if (coneSize != numCorners) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell %d has  %d vertices != %d", c, coneSize, numCorners);
5328   }
5329   for (c = cMax; c < cEnd; ++c) {
5330     PetscInt *closure = NULL, closureSize, cl, coneSize = 0;
5331 
5332     ierr = DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
5333     for (cl = 0; cl < closureSize*2; cl += 2) {
5334       const PetscInt p = closure[cl];
5335       if ((p >= vStart) && (p < vEnd)) ++coneSize;
5336     }
5337     ierr = DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
5338     if (coneSize > numHybridCorners) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Hybrid cell %d has  %d vertices > %d", c, coneSize, numHybridCorners);
5339   }
5340   PetscFunctionReturn(0);
5341 }
5342 
5343 #undef __FUNCT__
5344 #define __FUNCT__ "DMPlexCheckFaces"
5345 /*@
5346   DMPlexCheckFaces - Check that the faces of each cell give a vertex order this is consistent with what we expect from the cell type
5347 
5348   Input Parameters:
5349 + dm - The DMPlex object
5350 . isSimplex - Are the cells simplices or tensor products
5351 - cellHeight - Normally 0
5352 
5353   Note: This is a useful diagnostic when creating meshes programmatically.
5354 
5355   Level: developer
5356 
5357 .seealso: DMCreate(), DMCheckSymmetry(), DMCheckSkeleton()
5358 @*/
5359 PetscErrorCode DMPlexCheckFaces(DM dm, PetscBool isSimplex, PetscInt cellHeight)
5360 {
5361   PetscInt       pMax[4];
5362   PetscInt       dim, vStart, vEnd, cStart, cEnd, c, h;
5363   PetscErrorCode ierr;
5364 
5365   PetscFunctionBegin;
5366   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5367   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
5368   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
5369   ierr = DMPlexGetHybridBounds(dm, &pMax[dim], &pMax[dim-1], &pMax[1], &pMax[0]);CHKERRQ(ierr);
5370   for (h = cellHeight; h < dim; ++h) {
5371     ierr = DMPlexGetHeightStratum(dm, h, &cStart, &cEnd);CHKERRQ(ierr);
5372     for (c = cStart; c < cEnd; ++c) {
5373       const PetscInt *cone, *ornt, *faces;
5374       PetscInt        numFaces, faceSize, coneSize,f;
5375       PetscInt       *closure = NULL, closureSize, cl, numCorners = 0;
5376 
5377       if (pMax[dim-h] >= 0 && c >= pMax[dim-h]) continue;
5378       ierr = DMPlexGetConeSize(dm, c, &coneSize);CHKERRQ(ierr);
5379       ierr = DMPlexGetCone(dm, c, &cone);CHKERRQ(ierr);
5380       ierr = DMPlexGetConeOrientation(dm, c, &ornt);CHKERRQ(ierr);
5381       ierr = DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
5382       for (cl = 0; cl < closureSize*2; cl += 2) {
5383         const PetscInt p = closure[cl];
5384         if ((p >= vStart) && (p < vEnd)) closure[numCorners++] = p;
5385       }
5386       ierr = DMPlexGetRawFaces_Internal(dm, dim-h, numCorners, closure, &numFaces, &faceSize, &faces);CHKERRQ(ierr);
5387       if (coneSize != numFaces) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell %d has %d faces but should have %d", c, coneSize, numFaces);
5388       for (f = 0; f < numFaces; ++f) {
5389         PetscInt *fclosure = NULL, fclosureSize, cl, fnumCorners = 0, v;
5390 
5391         ierr = DMPlexGetTransitiveClosure_Internal(dm, cone[f], ornt[f], PETSC_TRUE, &fclosureSize, &fclosure);CHKERRQ(ierr);
5392         for (cl = 0; cl < fclosureSize*2; cl += 2) {
5393           const PetscInt p = fclosure[cl];
5394           if ((p >= vStart) && (p < vEnd)) fclosure[fnumCorners++] = p;
5395         }
5396         if (fnumCorners != faceSize) SETERRQ5(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Face %d (%d) of cell %d has %d vertices but should have %d", cone[f], f, c, fnumCorners, faceSize);
5397         for (v = 0; v < fnumCorners; ++v) {
5398           if (fclosure[v] != faces[f*faceSize+v]) SETERRQ6(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Face %d (%d) of cell %d vertex %d, %d != %d", cone[f], f, c, v, fclosure[v], faces[f*faceSize+v]);
5399         }
5400         ierr = DMPlexRestoreTransitiveClosure(dm, cone[f], PETSC_TRUE, &fclosureSize, &fclosure);CHKERRQ(ierr);
5401       }
5402       ierr = DMPlexRestoreFaces_Internal(dm, dim, c, &numFaces, &faceSize, &faces);CHKERRQ(ierr);
5403       ierr = DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
5404     }
5405   }
5406   PetscFunctionReturn(0);
5407 }
5408 
5409 #undef __FUNCT__
5410 #define __FUNCT__ "DMCreateInterpolation_Plex"
5411 /* Pointwise interpolation
5412      Just code FEM for now
5413      u^f = I u^c
5414      sum_k u^f_k phi^f_k = I sum_j u^c_j phi^c_j
5415      u^f_i = sum_j psi^f_i I phi^c_j u^c_j
5416      I_{ij} = psi^f_i phi^c_j
5417 */
5418 PetscErrorCode DMCreateInterpolation_Plex(DM dmCoarse, DM dmFine, Mat *interpolation, Vec *scaling)
5419 {
5420   PetscSection   gsc, gsf;
5421   PetscInt       m, n;
5422   void          *ctx;
5423   DM             cdm;
5424   PetscBool      regular;
5425   PetscErrorCode ierr;
5426 
5427   PetscFunctionBegin;
5428   ierr = DMGetDefaultGlobalSection(dmFine, &gsf);CHKERRQ(ierr);
5429   ierr = PetscSectionGetConstrainedStorageSize(gsf, &m);CHKERRQ(ierr);
5430   ierr = DMGetDefaultGlobalSection(dmCoarse, &gsc);CHKERRQ(ierr);
5431   ierr = PetscSectionGetConstrainedStorageSize(gsc, &n);CHKERRQ(ierr);
5432 
5433   ierr = MatCreate(PetscObjectComm((PetscObject) dmCoarse), interpolation);CHKERRQ(ierr);
5434   ierr = MatSetSizes(*interpolation, m, n, PETSC_DETERMINE, PETSC_DETERMINE);CHKERRQ(ierr);
5435   ierr = MatSetType(*interpolation, dmCoarse->mattype);CHKERRQ(ierr);
5436   ierr = DMGetApplicationContext(dmFine, &ctx);CHKERRQ(ierr);
5437 
5438   ierr = DMGetCoarseDM(dmFine, &cdm);CHKERRQ(ierr);
5439   ierr = DMPlexGetRegularRefinement(dmFine, &regular);CHKERRQ(ierr);
5440   if (regular && cdm == dmCoarse) {ierr = DMPlexComputeInterpolatorNested(dmCoarse, dmFine, *interpolation, ctx);CHKERRQ(ierr);}
5441   else                            {ierr = DMPlexComputeInterpolatorGeneral(dmCoarse, dmFine, *interpolation, ctx);CHKERRQ(ierr);}
5442   ierr = MatViewFromOptions(*interpolation, NULL, "-interp_mat_view");CHKERRQ(ierr);
5443   /* Use naive scaling */
5444   ierr = DMCreateInterpolationScale(dmCoarse, dmFine, *interpolation, scaling);CHKERRQ(ierr);
5445   PetscFunctionReturn(0);
5446 }
5447 
5448 #undef __FUNCT__
5449 #define __FUNCT__ "DMCreateInjection_Plex"
5450 PetscErrorCode DMCreateInjection_Plex(DM dmCoarse, DM dmFine, Mat *mat)
5451 {
5452   PetscErrorCode ierr;
5453   VecScatter     ctx;
5454 
5455   PetscFunctionBegin;
5456   ierr = DMPlexComputeInjectorFEM(dmCoarse, dmFine, &ctx, NULL);CHKERRQ(ierr);
5457   ierr = MatCreateScatter(PetscObjectComm((PetscObject)ctx), ctx, mat);CHKERRQ(ierr);
5458   ierr = VecScatterDestroy(&ctx);CHKERRQ(ierr);
5459   PetscFunctionReturn(0);
5460 }
5461 
5462 #undef __FUNCT__
5463 #define __FUNCT__ "DMCreateDefaultSection_Plex"
5464 PetscErrorCode DMCreateDefaultSection_Plex(DM dm)
5465 {
5466   PetscSection   section;
5467   IS            *bcPoints, *bcComps;
5468   PetscBool     *isFE;
5469   PetscInt      *bcFields, *numComp, *numDof;
5470   PetscInt       depth, dim, numBd, numBC = 0, numFields, bd, bc = 0, f;
5471   PetscInt       cStart, cEnd, cEndInterior;
5472   PetscErrorCode ierr;
5473 
5474   PetscFunctionBegin;
5475   ierr = DMGetNumFields(dm, &numFields);CHKERRQ(ierr);
5476   if (!numFields) PetscFunctionReturn(0);
5477   /* FE and FV boundary conditions are handled slightly differently */
5478   ierr = PetscMalloc1(numFields, &isFE);CHKERRQ(ierr);
5479   for (f = 0; f < numFields; ++f) {
5480     PetscObject  obj;
5481     PetscClassId id;
5482 
5483     ierr = DMGetField(dm, f, &obj);CHKERRQ(ierr);
5484     ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
5485     if (id == PETSCFE_CLASSID)      {isFE[f] = PETSC_TRUE;}
5486     else if (id == PETSCFV_CLASSID) {isFE[f] = PETSC_FALSE;}
5487     else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", f);
5488   }
5489   /* Allocate boundary point storage for FEM boundaries */
5490   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
5491   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
5492   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
5493   ierr = DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);CHKERRQ(ierr);
5494   ierr = DMGetNumBoundary(dm, &numBd);CHKERRQ(ierr);
5495   for (bd = 0; bd < numBd; ++bd) {
5496     PetscInt  field;
5497     PetscBool isEssential;
5498 
5499     ierr = DMGetBoundary(dm, bd, &isEssential, NULL, NULL, &field, NULL, NULL, NULL, NULL, NULL, NULL);CHKERRQ(ierr);
5500     if (isFE[field] && isEssential) ++numBC;
5501   }
5502   /* Add ghost cell boundaries for FVM */
5503   for (f = 0; f < numFields; ++f) if (!isFE[f] && cEndInterior >= 0) ++numBC;
5504   ierr = PetscCalloc3(numBC,&bcFields,numBC,&bcPoints,numBC,&bcComps);CHKERRQ(ierr);
5505   /* Constrain ghost cells for FV */
5506   for (f = 0; f < numFields; ++f) {
5507     PetscInt *newidx, c;
5508 
5509     if (isFE[f] || cEndInterior < 0) continue;
5510     ierr = PetscMalloc1(cEnd-cEndInterior,&newidx);CHKERRQ(ierr);
5511     for (c = cEndInterior; c < cEnd; ++c) newidx[c-cEndInterior] = c;
5512     bcFields[bc] = f;
5513     ierr = ISCreateGeneral(PetscObjectComm((PetscObject) dm), cEnd-cEndInterior, newidx, PETSC_OWN_POINTER, &bcPoints[bc++]);CHKERRQ(ierr);
5514   }
5515   /* Handle FEM Dirichlet boundaries */
5516   for (bd = 0; bd < numBd; ++bd) {
5517     const char     *bdLabel;
5518     DMLabel         label;
5519     const PetscInt *comps;
5520     const PetscInt *values;
5521     PetscInt        bd2, field, numComps, numValues;
5522     PetscBool       isEssential, duplicate = PETSC_FALSE;
5523 
5524     ierr = DMGetBoundary(dm, bd, &isEssential, NULL, &bdLabel, &field, &numComps, &comps, NULL, &numValues, &values, NULL);CHKERRQ(ierr);
5525     if (!isFE[field]) continue;
5526     ierr = DMGetLabel(dm, bdLabel, &label);CHKERRQ(ierr);
5527     /* Only want to modify label once */
5528     for (bd2 = 0; bd2 < bd; ++bd2) {
5529       const char *bdname;
5530       ierr = DMGetBoundary(dm, bd2, NULL, NULL, &bdname, NULL, NULL, NULL, NULL, NULL, NULL, NULL);CHKERRQ(ierr);
5531       ierr = PetscStrcmp(bdname, bdLabel, &duplicate);CHKERRQ(ierr);
5532       if (duplicate) break;
5533     }
5534     if (!duplicate && (isFE[field])) {
5535       /* don't complete cells, which are just present to give orientation to the boundary */
5536       ierr = DMPlexLabelComplete(dm, label);CHKERRQ(ierr);
5537     }
5538     /* Filter out cells, if you actually want to constrain cells you need to do things by hand right now */
5539     if (isEssential) {
5540       PetscInt       *newidx;
5541       PetscInt        n, newn = 0, p, v;
5542 
5543       bcFields[bc] = field;
5544       if (numComps) {ierr = ISCreateGeneral(PetscObjectComm((PetscObject) dm), numComps, comps, PETSC_COPY_VALUES, &bcComps[bc]);CHKERRQ(ierr);}
5545       for (v = 0; v < numValues; ++v) {
5546         IS              tmp;
5547         const PetscInt *idx;
5548 
5549         ierr = DMGetStratumIS(dm, bdLabel, values[v], &tmp);CHKERRQ(ierr);
5550         if (!tmp) continue;
5551         ierr = ISGetLocalSize(tmp, &n);CHKERRQ(ierr);
5552         ierr = ISGetIndices(tmp, &idx);CHKERRQ(ierr);
5553         if (isFE[field]) {
5554           for (p = 0; p < n; ++p) if ((idx[p] < cStart) || (idx[p] >= cEnd)) ++newn;
5555         } else {
5556           for (p = 0; p < n; ++p) if ((idx[p] >= cStart) || (idx[p] < cEnd)) ++newn;
5557         }
5558         ierr = ISRestoreIndices(tmp, &idx);CHKERRQ(ierr);
5559         ierr = ISDestroy(&tmp);CHKERRQ(ierr);
5560       }
5561       ierr = PetscMalloc1(newn,&newidx);CHKERRQ(ierr);
5562       newn = 0;
5563       for (v = 0; v < numValues; ++v) {
5564         IS              tmp;
5565         const PetscInt *idx;
5566 
5567         ierr = DMGetStratumIS(dm, bdLabel, values[v], &tmp);CHKERRQ(ierr);
5568         if (!tmp) continue;
5569         ierr = ISGetLocalSize(tmp, &n);CHKERRQ(ierr);
5570         ierr = ISGetIndices(tmp, &idx);CHKERRQ(ierr);
5571         if (isFE[field]) {
5572           for (p = 0; p < n; ++p) if ((idx[p] < cStart) || (idx[p] >= cEnd)) newidx[newn++] = idx[p];
5573         } else {
5574           for (p = 0; p < n; ++p) if ((idx[p] >= cStart) || (idx[p] < cEnd)) newidx[newn++] = idx[p];
5575         }
5576         ierr = ISRestoreIndices(tmp, &idx);CHKERRQ(ierr);
5577         ierr = ISDestroy(&tmp);CHKERRQ(ierr);
5578       }
5579       ierr = ISCreateGeneral(PetscObjectComm((PetscObject) dm), newn, newidx, PETSC_OWN_POINTER, &bcPoints[bc++]);CHKERRQ(ierr);
5580     }
5581   }
5582   /* Handle discretization */
5583   ierr = PetscCalloc2(numFields,&numComp,numFields*(dim+1),&numDof);CHKERRQ(ierr);
5584   for (f = 0; f < numFields; ++f) {
5585     PetscObject obj;
5586 
5587     ierr = DMGetField(dm, f, &obj);CHKERRQ(ierr);
5588     if (isFE[f]) {
5589       PetscFE         fe = (PetscFE) obj;
5590       const PetscInt *numFieldDof;
5591       PetscInt        d;
5592 
5593       ierr = PetscFEGetNumComponents(fe, &numComp[f]);CHKERRQ(ierr);
5594       ierr = PetscFEGetNumDof(fe, &numFieldDof);CHKERRQ(ierr);
5595       for (d = 0; d < dim+1; ++d) numDof[f*(dim+1)+d] = numFieldDof[d];
5596     } else {
5597       PetscFV fv = (PetscFV) obj;
5598 
5599       ierr = PetscFVGetNumComponents(fv, &numComp[f]);CHKERRQ(ierr);
5600       numDof[f*(dim+1)+dim] = numComp[f];
5601     }
5602   }
5603   for (f = 0; f < numFields; ++f) {
5604     PetscInt d;
5605     for (d = 1; d < dim; ++d) {
5606       if ((numDof[f*(dim+1)+d] > 0) && (depth < dim)) SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Mesh must be interpolated when unknowns are specified on edges or faces.");
5607     }
5608   }
5609   ierr = DMPlexCreateSection(dm, dim, numFields, numComp, numDof, numBC, bcFields, bcComps, bcPoints, NULL, &section);CHKERRQ(ierr);
5610   for (f = 0; f < numFields; ++f) {
5611     PetscFE     fe;
5612     const char *name;
5613 
5614     ierr = DMGetField(dm, f, (PetscObject *) &fe);CHKERRQ(ierr);
5615     ierr = PetscObjectGetName((PetscObject) fe, &name);CHKERRQ(ierr);
5616     ierr = PetscSectionSetFieldName(section, f, name);CHKERRQ(ierr);
5617   }
5618   ierr = DMSetDefaultSection(dm, section);CHKERRQ(ierr);
5619   ierr = PetscSectionDestroy(&section);CHKERRQ(ierr);
5620   for (bc = 0; bc < numBC; ++bc) {ierr = ISDestroy(&bcPoints[bc]);CHKERRQ(ierr);ierr = ISDestroy(&bcComps[bc]);CHKERRQ(ierr);}
5621   ierr = PetscFree3(bcFields,bcPoints,bcComps);CHKERRQ(ierr);
5622   ierr = PetscFree2(numComp,numDof);CHKERRQ(ierr);
5623   ierr = PetscFree(isFE);CHKERRQ(ierr);
5624   PetscFunctionReturn(0);
5625 }
5626 
5627 #undef __FUNCT__
5628 #define __FUNCT__ "DMPlexGetRegularRefinement"
5629 /*@
5630   DMPlexGetRegularRefinement - Get the flag indicating that this mesh was obtained by regular refinement from its coarse mesh
5631 
5632   Input Parameter:
5633 . dm - The DMPlex object
5634 
5635   Output Parameter:
5636 . regular - The flag
5637 
5638   Level: intermediate
5639 
5640 .seealso: DMPlexSetRegularRefinement()
5641 @*/
5642 PetscErrorCode DMPlexGetRegularRefinement(DM dm, PetscBool *regular)
5643 {
5644   PetscFunctionBegin;
5645   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5646   PetscValidPointer(regular, 2);
5647   *regular = ((DM_Plex *) dm->data)->regularRefinement;
5648   PetscFunctionReturn(0);
5649 }
5650 
5651 #undef __FUNCT__
5652 #define __FUNCT__ "DMPlexSetRegularRefinement"
5653 /*@
5654   DMPlexSetRegularRefinement - Set the flag indicating that this mesh was obtained by regular refinement from its coarse mesh
5655 
5656   Input Parameters:
5657 + dm - The DMPlex object
5658 - regular - The flag
5659 
5660   Level: intermediate
5661 
5662 .seealso: DMPlexGetRegularRefinement()
5663 @*/
5664 PetscErrorCode DMPlexSetRegularRefinement(DM dm, PetscBool regular)
5665 {
5666   PetscFunctionBegin;
5667   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5668   ((DM_Plex *) dm->data)->regularRefinement = regular;
5669   PetscFunctionReturn(0);
5670 }
5671 
5672 /* anchors */
5673 #undef __FUNCT__
5674 #define __FUNCT__ "DMPlexGetAnchors"
5675 /*@
5676   DMPlexGetAnchors - Get the layout of the anchor (point-to-point) constraints.  Typically, the user will not have to
5677   call DMPlexGetAnchors() directly: if there are anchors, then DMPlexGetAnchors() is called during DMGetConstraints().
5678 
5679   not collective
5680 
5681   Input Parameters:
5682 . dm - The DMPlex object
5683 
5684   Output Parameters:
5685 + anchorSection - If not NULL, set to the section describing which points anchor the constrained points.
5686 - anchorIS - If not NULL, set to the list of anchors indexed by anchorSection
5687 
5688 
5689   Level: intermediate
5690 
5691 .seealso: DMPlexSetAnchors(), DMGetConstraints(), DMSetConstraints()
5692 @*/
5693 PetscErrorCode DMPlexGetAnchors(DM dm, PetscSection *anchorSection, IS *anchorIS)
5694 {
5695   DM_Plex *plex = (DM_Plex *)dm->data;
5696   PetscErrorCode ierr;
5697 
5698   PetscFunctionBegin;
5699   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5700   if (!plex->anchorSection && !plex->anchorIS && plex->createanchors) {ierr = (*plex->createanchors)(dm);CHKERRQ(ierr);}
5701   if (anchorSection) *anchorSection = plex->anchorSection;
5702   if (anchorIS) *anchorIS = plex->anchorIS;
5703   PetscFunctionReturn(0);
5704 }
5705 
5706 #undef __FUNCT__
5707 #define __FUNCT__ "DMPlexSetAnchors"
5708 /*@
5709   DMPlexSetAnchors - Set the layout of the local anchor (point-to-point) constraints.  Unlike boundary conditions,
5710   when a point's degrees of freedom in a section are constrained to an outside value, the anchor constraints set a
5711   point's degrees of freedom to be a linear combination of other points' degrees of freedom.
5712 
5713   After specifying the layout of constraints with DMPlexSetAnchors(), one specifies the constraints by calling
5714   DMGetConstraints() and filling in the entries in the constraint matrix.
5715 
5716   collective on dm
5717 
5718   Input Parameters:
5719 + dm - The DMPlex object
5720 . anchorSection - The section that describes the mapping from constrained points to the anchor points listed in anchorIS.  Must have a local communicator (PETSC_COMM_SELF or derivative).
5721 - anchorIS - The list of all anchor points.  Must have a local communicator (PETSC_COMM_SELF or derivative).
5722 
5723   The reference counts of anchorSection and anchorIS are incremented.
5724 
5725   Level: intermediate
5726 
5727 .seealso: DMPlexGetAnchors(), DMGetConstraints(), DMSetConstraints()
5728 @*/
5729 PetscErrorCode DMPlexSetAnchors(DM dm, PetscSection anchorSection, IS anchorIS)
5730 {
5731   DM_Plex        *plex = (DM_Plex *)dm->data;
5732   PetscMPIInt    result;
5733   PetscErrorCode ierr;
5734 
5735   PetscFunctionBegin;
5736   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5737   if (anchorSection) {
5738     PetscValidHeaderSpecific(anchorSection,PETSC_SECTION_CLASSID,2);
5739     ierr = MPI_Comm_compare(PETSC_COMM_SELF,PetscObjectComm((PetscObject)anchorSection),&result);CHKERRQ(ierr);
5740     if (result != MPI_CONGRUENT) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NOTSAMECOMM,"anchor section must have local communicator");
5741   }
5742   if (anchorIS) {
5743     PetscValidHeaderSpecific(anchorIS,IS_CLASSID,3);
5744     ierr = MPI_Comm_compare(PETSC_COMM_SELF,PetscObjectComm((PetscObject)anchorIS),&result);CHKERRQ(ierr);
5745     if (result != MPI_CONGRUENT) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NOTSAMECOMM,"anchor IS must have local communicator");
5746   }
5747 
5748   ierr = PetscObjectReference((PetscObject)anchorSection);CHKERRQ(ierr);
5749   ierr = PetscSectionDestroy(&plex->anchorSection);CHKERRQ(ierr);
5750   plex->anchorSection = anchorSection;
5751 
5752   ierr = PetscObjectReference((PetscObject)anchorIS);CHKERRQ(ierr);
5753   ierr = ISDestroy(&plex->anchorIS);CHKERRQ(ierr);
5754   plex->anchorIS = anchorIS;
5755 
5756 #if defined(PETSC_USE_DEBUG)
5757   if (anchorIS && anchorSection) {
5758     PetscInt size, a, pStart, pEnd;
5759     const PetscInt *anchors;
5760 
5761     ierr = PetscSectionGetChart(anchorSection,&pStart,&pEnd);CHKERRQ(ierr);
5762     ierr = ISGetLocalSize(anchorIS,&size);CHKERRQ(ierr);
5763     ierr = ISGetIndices(anchorIS,&anchors);CHKERRQ(ierr);
5764     for (a = 0; a < size; a++) {
5765       PetscInt p;
5766 
5767       p = anchors[a];
5768       if (p >= pStart && p < pEnd) {
5769         PetscInt dof;
5770 
5771         ierr = PetscSectionGetDof(anchorSection,p,&dof);CHKERRQ(ierr);
5772         if (dof) {
5773           PetscErrorCode ierr2;
5774 
5775           ierr2 = ISRestoreIndices(anchorIS,&anchors);CHKERRQ(ierr2);
5776           SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Point %d cannot be constrained and an anchor",p);
5777         }
5778       }
5779     }
5780     ierr = ISRestoreIndices(anchorIS,&anchors);CHKERRQ(ierr);
5781   }
5782 #endif
5783   /* reset the generic constraints */
5784   ierr = DMSetDefaultConstraints(dm,NULL,NULL);CHKERRQ(ierr);
5785   PetscFunctionReturn(0);
5786 }
5787 
5788 #undef __FUNCT__
5789 #define __FUNCT__ "DMPlexCreateConstraintSection_Anchors"
5790 static PetscErrorCode DMPlexCreateConstraintSection_Anchors(DM dm, PetscSection section, PetscSection *cSec)
5791 {
5792   PetscSection anchorSection;
5793   PetscInt pStart, pEnd, sStart, sEnd, p, dof, numFields, f;
5794   PetscErrorCode ierr;
5795 
5796   PetscFunctionBegin;
5797   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5798   ierr = DMPlexGetAnchors(dm,&anchorSection,NULL);CHKERRQ(ierr);
5799   ierr = PetscSectionCreate(PETSC_COMM_SELF,cSec);CHKERRQ(ierr);
5800   ierr = PetscSectionGetNumFields(section,&numFields);CHKERRQ(ierr);
5801   if (numFields) {
5802     PetscInt f;
5803     ierr = PetscSectionSetNumFields(*cSec,numFields);CHKERRQ(ierr);
5804 
5805     for (f = 0; f < numFields; f++) {
5806       PetscInt numComp;
5807 
5808       ierr = PetscSectionGetFieldComponents(section,f,&numComp);CHKERRQ(ierr);
5809       ierr = PetscSectionSetFieldComponents(*cSec,f,numComp);CHKERRQ(ierr);
5810     }
5811   }
5812   ierr = PetscSectionGetChart(anchorSection,&pStart,&pEnd);CHKERRQ(ierr);
5813   ierr = PetscSectionGetChart(section,&sStart,&sEnd);CHKERRQ(ierr);
5814   pStart = PetscMax(pStart,sStart);
5815   pEnd   = PetscMin(pEnd,sEnd);
5816   pEnd   = PetscMax(pStart,pEnd);
5817   ierr = PetscSectionSetChart(*cSec,pStart,pEnd);CHKERRQ(ierr);
5818   for (p = pStart; p < pEnd; p++) {
5819     ierr = PetscSectionGetDof(anchorSection,p,&dof);CHKERRQ(ierr);
5820     if (dof) {
5821       ierr = PetscSectionGetDof(section,p,&dof);CHKERRQ(ierr);
5822       ierr = PetscSectionSetDof(*cSec,p,dof);CHKERRQ(ierr);
5823       for (f = 0; f < numFields; f++) {
5824         ierr = PetscSectionGetFieldDof(section,p,f,&dof);CHKERRQ(ierr);
5825         ierr = PetscSectionSetFieldDof(*cSec,p,f,dof);CHKERRQ(ierr);
5826       }
5827     }
5828   }
5829   ierr = PetscSectionSetUp(*cSec);CHKERRQ(ierr);
5830   PetscFunctionReturn(0);
5831 }
5832 
5833 #undef __FUNCT__
5834 #define __FUNCT__ "DMPlexCreateConstraintMatrix_Anchors"
5835 static PetscErrorCode DMPlexCreateConstraintMatrix_Anchors(DM dm, PetscSection section, PetscSection cSec, Mat *cMat)
5836 {
5837   PetscSection aSec;
5838   PetscInt pStart, pEnd, p, dof, aDof, aOff, off, nnz, annz, m, n, q, a, offset, *i, *j;
5839   const PetscInt *anchors;
5840   PetscInt numFields, f;
5841   IS aIS;
5842   PetscErrorCode ierr;
5843 
5844   PetscFunctionBegin;
5845   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5846   ierr = PetscSectionGetStorageSize(cSec, &m);CHKERRQ(ierr);
5847   ierr = PetscSectionGetStorageSize(section, &n);CHKERRQ(ierr);
5848   ierr = MatCreate(PETSC_COMM_SELF,cMat);CHKERRQ(ierr);
5849   ierr = MatSetSizes(*cMat,m,n,m,n);CHKERRQ(ierr);
5850   ierr = MatSetType(*cMat,MATSEQAIJ);CHKERRQ(ierr);
5851   ierr = DMPlexGetAnchors(dm,&aSec,&aIS);CHKERRQ(ierr);
5852   ierr = ISGetIndices(aIS,&anchors);CHKERRQ(ierr);
5853   /* cSec will be a subset of aSec and section */
5854   ierr = PetscSectionGetChart(cSec,&pStart,&pEnd);CHKERRQ(ierr);
5855   ierr = PetscMalloc1(m+1,&i);CHKERRQ(ierr);
5856   i[0] = 0;
5857   ierr = PetscSectionGetNumFields(section,&numFields);CHKERRQ(ierr);
5858   for (p = pStart; p < pEnd; p++) {
5859     PetscInt rDof, rOff, r;
5860 
5861     ierr = PetscSectionGetDof(aSec,p,&rDof);CHKERRQ(ierr);
5862     if (!rDof) continue;
5863     ierr = PetscSectionGetOffset(aSec,p,&rOff);CHKERRQ(ierr);
5864     if (numFields) {
5865       for (f = 0; f < numFields; f++) {
5866         annz = 0;
5867         for (r = 0; r < rDof; r++) {
5868           a = anchors[rOff + r];
5869           ierr = PetscSectionGetFieldDof(section,a,f,&aDof);CHKERRQ(ierr);
5870           annz += aDof;
5871         }
5872         ierr = PetscSectionGetFieldDof(cSec,p,f,&dof);CHKERRQ(ierr);
5873         ierr = PetscSectionGetFieldOffset(cSec,p,f,&off);CHKERRQ(ierr);
5874         for (q = 0; q < dof; q++) {
5875           i[off + q + 1] = i[off + q] + annz;
5876         }
5877       }
5878     }
5879     else {
5880       annz = 0;
5881       for (q = 0; q < dof; q++) {
5882         a = anchors[off + q];
5883         ierr = PetscSectionGetDof(section,a,&aDof);CHKERRQ(ierr);
5884         annz += aDof;
5885       }
5886       ierr = PetscSectionGetDof(cSec,p,&dof);CHKERRQ(ierr);
5887       ierr = PetscSectionGetOffset(cSec,p,&off);CHKERRQ(ierr);
5888       for (q = 0; q < dof; q++) {
5889         i[off + q + 1] = i[off + q] + annz;
5890       }
5891     }
5892   }
5893   nnz = i[m];
5894   ierr = PetscMalloc1(nnz,&j);CHKERRQ(ierr);
5895   offset = 0;
5896   for (p = pStart; p < pEnd; p++) {
5897     if (numFields) {
5898       for (f = 0; f < numFields; f++) {
5899         ierr = PetscSectionGetFieldDof(cSec,p,f,&dof);CHKERRQ(ierr);
5900         for (q = 0; q < dof; q++) {
5901           PetscInt rDof, rOff, r;
5902           ierr = PetscSectionGetDof(aSec,p,&rDof);CHKERRQ(ierr);
5903           ierr = PetscSectionGetOffset(aSec,p,&rOff);CHKERRQ(ierr);
5904           for (r = 0; r < rDof; r++) {
5905             PetscInt s;
5906 
5907             a = anchors[rOff + r];
5908             ierr = PetscSectionGetFieldDof(section,a,f,&aDof);CHKERRQ(ierr);
5909             ierr = PetscSectionGetFieldOffset(section,a,f,&aOff);CHKERRQ(ierr);
5910             for (s = 0; s < aDof; s++) {
5911               j[offset++] = aOff + s;
5912             }
5913           }
5914         }
5915       }
5916     }
5917     else {
5918       ierr = PetscSectionGetDof(cSec,p,&dof);CHKERRQ(ierr);
5919       for (q = 0; q < dof; q++) {
5920         PetscInt rDof, rOff, r;
5921         ierr = PetscSectionGetDof(aSec,p,&rDof);CHKERRQ(ierr);
5922         ierr = PetscSectionGetOffset(aSec,p,&rOff);CHKERRQ(ierr);
5923         for (r = 0; r < rDof; r++) {
5924           PetscInt s;
5925 
5926           a = anchors[rOff + r];
5927           ierr = PetscSectionGetDof(section,a,&aDof);CHKERRQ(ierr);
5928           ierr = PetscSectionGetOffset(section,a,&aOff);CHKERRQ(ierr);
5929           for (s = 0; s < aDof; s++) {
5930             j[offset++] = aOff + s;
5931           }
5932         }
5933       }
5934     }
5935   }
5936   ierr = MatSeqAIJSetPreallocationCSR(*cMat,i,j,NULL);CHKERRQ(ierr);
5937   ierr = PetscFree(i);CHKERRQ(ierr);
5938   ierr = PetscFree(j);CHKERRQ(ierr);
5939   ierr = ISRestoreIndices(aIS,&anchors);CHKERRQ(ierr);
5940   PetscFunctionReturn(0);
5941 }
5942 
5943 #undef __FUNCT__
5944 #define __FUNCT__ "DMCreateDefaultConstraints_Plex"
5945 PetscErrorCode DMCreateDefaultConstraints_Plex(DM dm)
5946 {
5947   DM_Plex        *plex = (DM_Plex *)dm->data;
5948   PetscSection   anchorSection, section, cSec;
5949   Mat            cMat;
5950   PetscErrorCode ierr;
5951 
5952   PetscFunctionBegin;
5953   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5954   ierr = DMPlexGetAnchors(dm,&anchorSection,NULL);CHKERRQ(ierr);
5955   if (anchorSection) {
5956     PetscDS  ds;
5957     PetscInt nf;
5958 
5959     ierr = DMGetDefaultSection(dm,&section);CHKERRQ(ierr);
5960     ierr = DMPlexCreateConstraintSection_Anchors(dm,section,&cSec);CHKERRQ(ierr);
5961     ierr = DMPlexCreateConstraintMatrix_Anchors(dm,section,cSec,&cMat);CHKERRQ(ierr);
5962     ierr = DMGetDS(dm,&ds);CHKERRQ(ierr);
5963     ierr = PetscDSGetNumFields(ds,&nf);CHKERRQ(ierr);
5964     if (nf && plex->computeanchormatrix) {ierr = (*plex->computeanchormatrix)(dm,section,cSec,cMat);CHKERRQ(ierr);}
5965     ierr = DMSetDefaultConstraints(dm,cSec,cMat);CHKERRQ(ierr);
5966     ierr = PetscSectionDestroy(&cSec);CHKERRQ(ierr);
5967     ierr = MatDestroy(&cMat);CHKERRQ(ierr);
5968   }
5969   PetscFunctionReturn(0);
5970 }
5971