xref: /petsc/src/dm/impls/plex/plex.c (revision 0bfe2a9205037e2d91383431e106ad359cffb006)
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   PetscInt       dim;
2992   PetscErrorCode ierr;
2993 
2994   PetscFunctionBegin;
2995   ierr = DMClone(dm, cdm);CHKERRQ(ierr);
2996   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &section);CHKERRQ(ierr);
2997   ierr = DMSetDefaultSection(*cdm, section);CHKERRQ(ierr);
2998   ierr = PetscSectionDestroy(&section);CHKERRQ(ierr);
2999   ierr = PetscSectionCreate(PETSC_COMM_SELF, &s);CHKERRQ(ierr);
3000   ierr = MatCreate(PETSC_COMM_SELF, &m);CHKERRQ(ierr);
3001   ierr = DMSetDefaultConstraints(*cdm, s, m);CHKERRQ(ierr);
3002   ierr = PetscSectionDestroy(&s);CHKERRQ(ierr);
3003   ierr = MatDestroy(&m);CHKERRQ(ierr);
3004   PetscFunctionReturn(0);
3005 }
3006 
3007 #undef __FUNCT__
3008 #define __FUNCT__ "DMPlexGetConeSection"
3009 PetscErrorCode DMPlexGetConeSection(DM dm, PetscSection *section)
3010 {
3011   DM_Plex *mesh = (DM_Plex*) dm->data;
3012 
3013   PetscFunctionBegin;
3014   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3015   if (section) *section = mesh->coneSection;
3016   PetscFunctionReturn(0);
3017 }
3018 
3019 #undef __FUNCT__
3020 #define __FUNCT__ "DMPlexGetSupportSection"
3021 PetscErrorCode DMPlexGetSupportSection(DM dm, PetscSection *section)
3022 {
3023   DM_Plex *mesh = (DM_Plex*) dm->data;
3024 
3025   PetscFunctionBegin;
3026   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3027   if (section) *section = mesh->supportSection;
3028   PetscFunctionReturn(0);
3029 }
3030 
3031 #undef __FUNCT__
3032 #define __FUNCT__ "DMPlexGetCones"
3033 PetscErrorCode DMPlexGetCones(DM dm, PetscInt *cones[])
3034 {
3035   DM_Plex *mesh = (DM_Plex*) dm->data;
3036 
3037   PetscFunctionBegin;
3038   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3039   if (cones) *cones = mesh->cones;
3040   PetscFunctionReturn(0);
3041 }
3042 
3043 #undef __FUNCT__
3044 #define __FUNCT__ "DMPlexGetConeOrientations"
3045 PetscErrorCode DMPlexGetConeOrientations(DM dm, PetscInt *coneOrientations[])
3046 {
3047   DM_Plex *mesh = (DM_Plex*) dm->data;
3048 
3049   PetscFunctionBegin;
3050   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3051   if (coneOrientations) *coneOrientations = mesh->coneOrientations;
3052   PetscFunctionReturn(0);
3053 }
3054 
3055 /******************************** FEM Support **********************************/
3056 
3057 #undef __FUNCT__
3058 #define __FUNCT__ "DMPlexVecGetClosure_Depth1_Static"
3059 PETSC_STATIC_INLINE PetscErrorCode DMPlexVecGetClosure_Depth1_Static(DM dm, PetscSection section, Vec v, PetscInt point, PetscInt *csize, PetscScalar *values[])
3060 {
3061   PetscScalar    *array, *vArray;
3062   const PetscInt *cone, *coneO;
3063   PetscInt        pStart, pEnd, p, numPoints, size = 0, offset = 0;
3064   PetscErrorCode  ierr;
3065 
3066   PetscFunctionBeginHot;
3067   ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
3068   ierr = DMPlexGetConeSize(dm, point, &numPoints);CHKERRQ(ierr);
3069   ierr = DMPlexGetCone(dm, point, &cone);CHKERRQ(ierr);
3070   ierr = DMPlexGetConeOrientation(dm, point, &coneO);CHKERRQ(ierr);
3071   if (!values || !*values) {
3072     if ((point >= pStart) && (point < pEnd)) {
3073       PetscInt dof;
3074 
3075       ierr = PetscSectionGetDof(section, point, &dof);CHKERRQ(ierr);
3076       size += dof;
3077     }
3078     for (p = 0; p < numPoints; ++p) {
3079       const PetscInt cp = cone[p];
3080       PetscInt       dof;
3081 
3082       if ((cp < pStart) || (cp >= pEnd)) continue;
3083       ierr = PetscSectionGetDof(section, cp, &dof);CHKERRQ(ierr);
3084       size += dof;
3085     }
3086     if (!values) {
3087       if (csize) *csize = size;
3088       PetscFunctionReturn(0);
3089     }
3090     ierr = DMGetWorkArray(dm, size, PETSC_SCALAR, &array);CHKERRQ(ierr);
3091   } else {
3092     array = *values;
3093   }
3094   size = 0;
3095   ierr = VecGetArray(v, &vArray);CHKERRQ(ierr);
3096   if ((point >= pStart) && (point < pEnd)) {
3097     PetscInt     dof, off, d;
3098     PetscScalar *varr;
3099 
3100     ierr = PetscSectionGetDof(section, point, &dof);CHKERRQ(ierr);
3101     ierr = PetscSectionGetOffset(section, point, &off);CHKERRQ(ierr);
3102     varr = &vArray[off];
3103     for (d = 0; d < dof; ++d, ++offset) {
3104       array[offset] = varr[d];
3105     }
3106     size += dof;
3107   }
3108   for (p = 0; p < numPoints; ++p) {
3109     const PetscInt cp = cone[p];
3110     PetscInt       o  = coneO[p];
3111     PetscInt       dof, off, d;
3112     PetscScalar   *varr;
3113 
3114     if ((cp < pStart) || (cp >= pEnd)) continue;
3115     ierr = PetscSectionGetDof(section, cp, &dof);CHKERRQ(ierr);
3116     ierr = PetscSectionGetOffset(section, cp, &off);CHKERRQ(ierr);
3117     varr = &vArray[off];
3118     if (o >= 0) {
3119       for (d = 0; d < dof; ++d, ++offset) {
3120         array[offset] = varr[d];
3121       }
3122     } else {
3123       for (d = dof-1; d >= 0; --d, ++offset) {
3124         array[offset] = varr[d];
3125       }
3126     }
3127     size += dof;
3128   }
3129   ierr = VecRestoreArray(v, &vArray);CHKERRQ(ierr);
3130   if (!*values) {
3131     if (csize) *csize = size;
3132     *values = array;
3133   } else {
3134     if (size > *csize) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Size of input array %d < actual size %d", *csize, size);
3135     *csize = size;
3136   }
3137   PetscFunctionReturn(0);
3138 }
3139 
3140 #undef __FUNCT__
3141 #define __FUNCT__ "DMPlexVecGetClosure_Static"
3142 PETSC_STATIC_INLINE PetscErrorCode DMPlexVecGetClosure_Static(PetscSection section, PetscInt numPoints, const PetscInt points[], const PetscScalar vArray[], PetscInt *size, PetscScalar array[])
3143 {
3144   PetscInt       offset = 0, p;
3145   PetscErrorCode ierr;
3146 
3147   PetscFunctionBeginHot;
3148   *size = 0;
3149   for (p = 0; p < numPoints*2; p += 2) {
3150     const PetscInt point = points[p];
3151     const PetscInt o     = points[p+1];
3152     PetscInt       dof, off, d;
3153     const PetscScalar *varr;
3154 
3155     ierr = PetscSectionGetDof(section, point, &dof);CHKERRQ(ierr);
3156     ierr = PetscSectionGetOffset(section, point, &off);CHKERRQ(ierr);
3157     varr = &vArray[off];
3158     if (o >= 0) {
3159       for (d = 0; d < dof; ++d, ++offset)    array[offset] = varr[d];
3160     } else {
3161       for (d = dof-1; d >= 0; --d, ++offset) array[offset] = varr[d];
3162     }
3163   }
3164   *size = offset;
3165   PetscFunctionReturn(0);
3166 }
3167 
3168 #undef __FUNCT__
3169 #define __FUNCT__ "DMPlexVecGetClosure_Fields_Static"
3170 PETSC_STATIC_INLINE PetscErrorCode DMPlexVecGetClosure_Fields_Static(PetscSection section, PetscInt numPoints, const PetscInt points[], PetscInt numFields, const PetscScalar vArray[], PetscInt *size, PetscScalar array[])
3171 {
3172   PetscInt       offset = 0, f;
3173   PetscErrorCode ierr;
3174 
3175   PetscFunctionBeginHot;
3176   *size = 0;
3177   for (f = 0; f < numFields; ++f) {
3178     PetscInt fcomp, p;
3179 
3180     ierr = PetscSectionGetFieldComponents(section, f, &fcomp);CHKERRQ(ierr);
3181     for (p = 0; p < numPoints*2; p += 2) {
3182       const PetscInt point = points[p];
3183       const PetscInt o     = points[p+1];
3184       PetscInt       fdof, foff, d, c;
3185       const PetscScalar *varr;
3186 
3187       ierr = PetscSectionGetFieldDof(section, point, f, &fdof);CHKERRQ(ierr);
3188       ierr = PetscSectionGetFieldOffset(section, point, f, &foff);CHKERRQ(ierr);
3189       varr = &vArray[foff];
3190       if (o >= 0) {
3191         for (d = 0; d < fdof; ++d, ++offset) array[offset] = varr[d];
3192       } else {
3193         for (d = fdof/fcomp-1; d >= 0; --d) {
3194           for (c = 0; c < fcomp; ++c, ++offset) {
3195             array[offset] = varr[d*fcomp+c];
3196           }
3197         }
3198       }
3199     }
3200   }
3201   *size = offset;
3202   PetscFunctionReturn(0);
3203 }
3204 
3205 #undef __FUNCT__
3206 #define __FUNCT__ "DMPlexVecGetClosure"
3207 /*@C
3208   DMPlexVecGetClosure - Get an array of the values on the closure of 'point'
3209 
3210   Not collective
3211 
3212   Input Parameters:
3213 + dm - The DM
3214 . section - The section describing the layout in v, or NULL to use the default section
3215 . v - The local vector
3216 - point - The sieve point in the DM
3217 
3218   Output Parameters:
3219 + csize - The number of values in the closure, or NULL
3220 - values - The array of values, which is a borrowed array and should not be freed
3221 
3222   Fortran Notes:
3223   Since it returns an array, this routine is only available in Fortran 90, and you must
3224   include petsc.h90 in your code.
3225 
3226   The csize argument is not present in the Fortran 90 binding since it is internal to the array.
3227 
3228   Level: intermediate
3229 
3230 .seealso DMPlexVecRestoreClosure(), DMPlexVecSetClosure(), DMPlexMatSetClosure()
3231 @*/
3232 PetscErrorCode DMPlexVecGetClosure(DM dm, PetscSection section, Vec v, PetscInt point, PetscInt *csize, PetscScalar *values[])
3233 {
3234   PetscSection    clSection;
3235   IS              clPoints;
3236   PetscScalar    *array, *vArray;
3237   PetscInt       *points = NULL;
3238   const PetscInt *clp;
3239   PetscInt        depth, numFields, numPoints, size;
3240   PetscErrorCode  ierr;
3241 
3242   PetscFunctionBeginHot;
3243   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3244   if (!section) {ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);}
3245   PetscValidHeaderSpecific(section, PETSC_SECTION_CLASSID, 2);
3246   PetscValidHeaderSpecific(v, VEC_CLASSID, 3);
3247   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
3248   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
3249   if (depth == 1 && numFields < 2) {
3250     ierr = DMPlexVecGetClosure_Depth1_Static(dm, section, v, point, csize, values);CHKERRQ(ierr);
3251     PetscFunctionReturn(0);
3252   }
3253   /* Get points */
3254   ierr = PetscSectionGetClosureIndex(section, (PetscObject) dm, &clSection, &clPoints);CHKERRQ(ierr);
3255   if (!clPoints) {
3256     PetscInt pStart, pEnd, p, q;
3257 
3258     ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
3259     ierr = DMPlexGetTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
3260     /* Compress out points not in the section */
3261     for (p = 0, q = 0; p < numPoints*2; p += 2) {
3262       if ((points[p] >= pStart) && (points[p] < pEnd)) {
3263         points[q*2]   = points[p];
3264         points[q*2+1] = points[p+1];
3265         ++q;
3266       }
3267     }
3268     numPoints = q;
3269   } else {
3270     PetscInt dof, off;
3271 
3272     ierr = PetscSectionGetDof(clSection, point, &dof);CHKERRQ(ierr);
3273     ierr = PetscSectionGetOffset(clSection, point, &off);CHKERRQ(ierr);
3274     ierr = ISGetIndices(clPoints, &clp);CHKERRQ(ierr);
3275     numPoints = dof/2;
3276     points    = (PetscInt *) &clp[off];
3277   }
3278   /* Get array */
3279   if (!values || !*values) {
3280     PetscInt asize = 0, dof, p;
3281 
3282     for (p = 0; p < numPoints*2; p += 2) {
3283       ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
3284       asize += dof;
3285     }
3286     if (!values) {
3287       if (!clPoints) {ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);}
3288       else           {ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);}
3289       if (csize) *csize = asize;
3290       PetscFunctionReturn(0);
3291     }
3292     ierr = DMGetWorkArray(dm, asize, PETSC_SCALAR, &array);CHKERRQ(ierr);
3293   } else {
3294     array = *values;
3295   }
3296   ierr = VecGetArray(v, &vArray);CHKERRQ(ierr);
3297   /* Get values */
3298   if (numFields > 0) {ierr = DMPlexVecGetClosure_Fields_Static(section, numPoints, points, numFields, vArray, &size, array);CHKERRQ(ierr);}
3299   else               {ierr = DMPlexVecGetClosure_Static(section, numPoints, points, vArray, &size, array);CHKERRQ(ierr);}
3300   /* Cleanup points */
3301   if (!clPoints) {ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);}
3302   else           {ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);}
3303   /* Cleanup array */
3304   ierr = VecRestoreArray(v, &vArray);CHKERRQ(ierr);
3305   if (!*values) {
3306     if (csize) *csize = size;
3307     *values = array;
3308   } else {
3309     if (size > *csize) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Size of input array %D < actual size %D", *csize, size);
3310     *csize = size;
3311   }
3312   PetscFunctionReturn(0);
3313 }
3314 
3315 #undef __FUNCT__
3316 #define __FUNCT__ "DMPlexVecRestoreClosure"
3317 /*@C
3318   DMPlexVecRestoreClosure - Restore the array of the values on the closure of 'point'
3319 
3320   Not collective
3321 
3322   Input Parameters:
3323 + dm - The DM
3324 . section - The section describing the layout in v, or NULL to use the default section
3325 . v - The local vector
3326 . point - The sieve point in the DM
3327 . csize - The number of values in the closure, or NULL
3328 - values - The array of values, which is a borrowed array and should not be freed
3329 
3330   Fortran Notes:
3331   Since it returns an array, this routine is only available in Fortran 90, and you must
3332   include petsc.h90 in your code.
3333 
3334   The csize argument is not present in the Fortran 90 binding since it is internal to the array.
3335 
3336   Level: intermediate
3337 
3338 .seealso DMPlexVecGetClosure(), DMPlexVecSetClosure(), DMPlexMatSetClosure()
3339 @*/
3340 PetscErrorCode DMPlexVecRestoreClosure(DM dm, PetscSection section, Vec v, PetscInt point, PetscInt *csize, PetscScalar *values[])
3341 {
3342   PetscInt       size = 0;
3343   PetscErrorCode ierr;
3344 
3345   PetscFunctionBegin;
3346   /* Should work without recalculating size */
3347   ierr = DMRestoreWorkArray(dm, size, PETSC_SCALAR, (void*) values);CHKERRQ(ierr);
3348   PetscFunctionReturn(0);
3349 }
3350 
3351 PETSC_STATIC_INLINE void add   (PetscScalar *x, PetscScalar y) {*x += y;}
3352 PETSC_STATIC_INLINE void insert(PetscScalar *x, PetscScalar y) {*x  = y;}
3353 
3354 #undef __FUNCT__
3355 #define __FUNCT__ "updatePoint_private"
3356 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[])
3357 {
3358   PetscInt        cdof;   /* The number of constraints on this point */
3359   const PetscInt *cdofs; /* The indices of the constrained dofs on this point */
3360   PetscScalar    *a;
3361   PetscInt        off, cind = 0, k;
3362   PetscErrorCode  ierr;
3363 
3364   PetscFunctionBegin;
3365   ierr = PetscSectionGetConstraintDof(section, point, &cdof);CHKERRQ(ierr);
3366   ierr = PetscSectionGetOffset(section, point, &off);CHKERRQ(ierr);
3367   a    = &array[off];
3368   if (!cdof || setBC) {
3369     if (orientation >= 0) {
3370       for (k = 0; k < dof; ++k) {
3371         fuse(&a[k], values[k]);
3372       }
3373     } else {
3374       for (k = 0; k < dof; ++k) {
3375         fuse(&a[k], values[dof-k-1]);
3376       }
3377     }
3378   } else {
3379     ierr = PetscSectionGetConstraintIndices(section, point, &cdofs);CHKERRQ(ierr);
3380     if (orientation >= 0) {
3381       for (k = 0; k < dof; ++k) {
3382         if ((cind < cdof) && (k == cdofs[cind])) {++cind; continue;}
3383         fuse(&a[k], values[k]);
3384       }
3385     } else {
3386       for (k = 0; k < dof; ++k) {
3387         if ((cind < cdof) && (k == cdofs[cind])) {++cind; continue;}
3388         fuse(&a[k], values[dof-k-1]);
3389       }
3390     }
3391   }
3392   PetscFunctionReturn(0);
3393 }
3394 
3395 #undef __FUNCT__
3396 #define __FUNCT__ "updatePointBC_private"
3397 PETSC_STATIC_INLINE PetscErrorCode updatePointBC_private(PetscSection section, PetscInt point, PetscInt dof, void (*fuse)(PetscScalar*, PetscScalar), PetscInt orientation, const PetscScalar values[], PetscScalar array[])
3398 {
3399   PetscInt        cdof;   /* The number of constraints on this point */
3400   const PetscInt *cdofs; /* The indices of the constrained dofs on this point */
3401   PetscScalar    *a;
3402   PetscInt        off, cind = 0, k;
3403   PetscErrorCode  ierr;
3404 
3405   PetscFunctionBegin;
3406   ierr = PetscSectionGetConstraintDof(section, point, &cdof);CHKERRQ(ierr);
3407   ierr = PetscSectionGetOffset(section, point, &off);CHKERRQ(ierr);
3408   a    = &array[off];
3409   if (cdof) {
3410     ierr = PetscSectionGetConstraintIndices(section, point, &cdofs);CHKERRQ(ierr);
3411     if (orientation >= 0) {
3412       for (k = 0; k < dof; ++k) {
3413         if ((cind < cdof) && (k == cdofs[cind])) {
3414           fuse(&a[k], values[k]);
3415           ++cind;
3416         }
3417       }
3418     } else {
3419       for (k = 0; k < dof; ++k) {
3420         if ((cind < cdof) && (k == cdofs[cind])) {
3421           fuse(&a[k], values[dof-k-1]);
3422           ++cind;
3423         }
3424       }
3425     }
3426   }
3427   PetscFunctionReturn(0);
3428 }
3429 
3430 #undef __FUNCT__
3431 #define __FUNCT__ "updatePointFields_private"
3432 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[])
3433 {
3434   PetscScalar    *a;
3435   PetscInt        fdof, foff, fcdof, foffset = *offset;
3436   const PetscInt *fcdofs; /* The indices of the constrained dofs for field f on this point */
3437   PetscInt        cind = 0, k, c;
3438   PetscErrorCode  ierr;
3439 
3440   PetscFunctionBegin;
3441   ierr = PetscSectionGetFieldDof(section, point, f, &fdof);CHKERRQ(ierr);
3442   ierr = PetscSectionGetFieldConstraintDof(section, point, f, &fcdof);CHKERRQ(ierr);
3443   ierr = PetscSectionGetFieldOffset(section, point, f, &foff);CHKERRQ(ierr);
3444   a    = &array[foff];
3445   if (!fcdof || setBC) {
3446     if (o >= 0) {
3447       for (k = 0; k < fdof; ++k) fuse(&a[k], values[foffset+k]);
3448     } else {
3449       for (k = fdof/fcomp-1; k >= 0; --k) {
3450         for (c = 0; c < fcomp; ++c) {
3451           fuse(&a[(fdof/fcomp-1-k)*fcomp+c], values[foffset+k*fcomp+c]);
3452         }
3453       }
3454     }
3455   } else {
3456     ierr = PetscSectionGetFieldConstraintIndices(section, point, f, &fcdofs);CHKERRQ(ierr);
3457     if (o >= 0) {
3458       for (k = 0; k < fdof; ++k) {
3459         if ((cind < fcdof) && (k == fcdofs[cind])) {++cind; continue;}
3460         fuse(&a[k], values[foffset+k]);
3461       }
3462     } else {
3463       for (k = fdof/fcomp-1; k >= 0; --k) {
3464         for (c = 0; c < fcomp; ++c) {
3465           if ((cind < fcdof) && (k*fcomp+c == fcdofs[cind])) {++cind; continue;}
3466           fuse(&a[(fdof/fcomp-1-k)*fcomp+c], values[foffset+k*fcomp+c]);
3467         }
3468       }
3469     }
3470   }
3471   *offset += fdof;
3472   PetscFunctionReturn(0);
3473 }
3474 
3475 #undef __FUNCT__
3476 #define __FUNCT__ "updatePointFieldsBC_private"
3477 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[])
3478 {
3479   PetscScalar    *a;
3480   PetscInt        fdof, foff, fcdof, foffset = *offset;
3481   const PetscInt *fcdofs; /* The indices of the constrained dofs for field f on this point */
3482   PetscInt        cind = 0, k, c;
3483   PetscErrorCode  ierr;
3484 
3485   PetscFunctionBegin;
3486   ierr = PetscSectionGetFieldDof(section, point, f, &fdof);CHKERRQ(ierr);
3487   ierr = PetscSectionGetFieldConstraintDof(section, point, f, &fcdof);CHKERRQ(ierr);
3488   ierr = PetscSectionGetFieldOffset(section, point, f, &foff);CHKERRQ(ierr);
3489   a    = &array[foff];
3490   if (fcdof) {
3491     ierr = PetscSectionGetFieldConstraintIndices(section, point, f, &fcdofs);CHKERRQ(ierr);
3492     if (o >= 0) {
3493       for (k = 0; k < fdof; ++k) {
3494         if ((cind < fcdof) && (k == fcdofs[cind])) {
3495           fuse(&a[k], values[foffset+k]);
3496           ++cind;
3497         }
3498       }
3499     } else {
3500       for (k = fdof/fcomp-1; k >= 0; --k) {
3501         for (c = 0; c < fcomp; ++c) {
3502           if ((cind < fcdof) && (k*fcomp+c == fcdofs[cind])) {
3503             fuse(&a[(fdof/fcomp-1-k)*fcomp+c], values[foffset+k*fcomp+c]);
3504             ++cind;
3505           }
3506         }
3507       }
3508     }
3509   }
3510   *offset += fdof;
3511   PetscFunctionReturn(0);
3512 }
3513 
3514 #undef __FUNCT__
3515 #define __FUNCT__ "DMPlexVecSetClosure_Static"
3516 PETSC_STATIC_INLINE PetscErrorCode DMPlexVecSetClosure_Static(DM dm, PetscSection section, Vec v, PetscInt point, const PetscScalar values[], InsertMode mode)
3517 {
3518   PetscScalar    *array;
3519   const PetscInt *cone, *coneO;
3520   PetscInt        pStart, pEnd, p, numPoints, off, dof;
3521   PetscErrorCode  ierr;
3522 
3523   PetscFunctionBeginHot;
3524   ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
3525   ierr = DMPlexGetConeSize(dm, point, &numPoints);CHKERRQ(ierr);
3526   ierr = DMPlexGetCone(dm, point, &cone);CHKERRQ(ierr);
3527   ierr = DMPlexGetConeOrientation(dm, point, &coneO);CHKERRQ(ierr);
3528   ierr = VecGetArray(v, &array);CHKERRQ(ierr);
3529   for (p = 0, off = 0; p <= numPoints; ++p, off += dof) {
3530     const PetscInt cp = !p ? point : cone[p-1];
3531     const PetscInt o  = !p ? 0     : coneO[p-1];
3532 
3533     if ((cp < pStart) || (cp >= pEnd)) {dof = 0; continue;}
3534     ierr = PetscSectionGetDof(section, cp, &dof);CHKERRQ(ierr);
3535     /* ADD_VALUES */
3536     {
3537       const PetscInt *cdofs; /* The indices of the constrained dofs on this point */
3538       PetscScalar    *a;
3539       PetscInt        cdof, coff, cind = 0, k;
3540 
3541       ierr = PetscSectionGetConstraintDof(section, cp, &cdof);CHKERRQ(ierr);
3542       ierr = PetscSectionGetOffset(section, cp, &coff);CHKERRQ(ierr);
3543       a    = &array[coff];
3544       if (!cdof) {
3545         if (o >= 0) {
3546           for (k = 0; k < dof; ++k) {
3547             a[k] += values[off+k];
3548           }
3549         } else {
3550           for (k = 0; k < dof; ++k) {
3551             a[k] += values[off+dof-k-1];
3552           }
3553         }
3554       } else {
3555         ierr = PetscSectionGetConstraintIndices(section, cp, &cdofs);CHKERRQ(ierr);
3556         if (o >= 0) {
3557           for (k = 0; k < dof; ++k) {
3558             if ((cind < cdof) && (k == cdofs[cind])) {++cind; continue;}
3559             a[k] += values[off+k];
3560           }
3561         } else {
3562           for (k = 0; k < dof; ++k) {
3563             if ((cind < cdof) && (k == cdofs[cind])) {++cind; continue;}
3564             a[k] += values[off+dof-k-1];
3565           }
3566         }
3567       }
3568     }
3569   }
3570   ierr = VecRestoreArray(v, &array);CHKERRQ(ierr);
3571   PetscFunctionReturn(0);
3572 }
3573 
3574 #undef __FUNCT__
3575 #define __FUNCT__ "DMPlexVecSetClosure"
3576 /*@C
3577   DMPlexVecSetClosure - Set an array of the values on the closure of 'point'
3578 
3579   Not collective
3580 
3581   Input Parameters:
3582 + dm - The DM
3583 . section - The section describing the layout in v, or NULL to use the default section
3584 . v - The local vector
3585 . point - The sieve point in the DM
3586 . values - The array of values
3587 - mode - The insert mode, where INSERT_ALL_VALUES and ADD_ALL_VALUES also overwrite boundary conditions
3588 
3589   Fortran Notes:
3590   This routine is only available in Fortran 90, and you must include petsc.h90 in your code.
3591 
3592   Level: intermediate
3593 
3594 .seealso DMPlexVecGetClosure(), DMPlexMatSetClosure()
3595 @*/
3596 PetscErrorCode DMPlexVecSetClosure(DM dm, PetscSection section, Vec v, PetscInt point, const PetscScalar values[], InsertMode mode)
3597 {
3598   PetscSection    clSection;
3599   IS              clPoints;
3600   PetscScalar    *array;
3601   PetscInt       *points = NULL;
3602   const PetscInt *clp;
3603   PetscInt        depth, numFields, numPoints, p;
3604   PetscErrorCode  ierr;
3605 
3606   PetscFunctionBeginHot;
3607   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3608   if (!section) {ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);}
3609   PetscValidHeaderSpecific(section, PETSC_SECTION_CLASSID, 2);
3610   PetscValidHeaderSpecific(v, VEC_CLASSID, 3);
3611   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
3612   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
3613   if (depth == 1 && numFields < 2 && mode == ADD_VALUES) {
3614     ierr = DMPlexVecSetClosure_Static(dm, section, v, point, values, mode);CHKERRQ(ierr);
3615     PetscFunctionReturn(0);
3616   }
3617   /* Get points */
3618   ierr = PetscSectionGetClosureIndex(section, (PetscObject) dm, &clSection, &clPoints);CHKERRQ(ierr);
3619   if (!clPoints) {
3620     PetscInt pStart, pEnd, q;
3621 
3622     ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
3623     ierr = DMPlexGetTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
3624     /* Compress out points not in the section */
3625     for (p = 0, q = 0; p < numPoints*2; p += 2) {
3626       if ((points[p] >= pStart) && (points[p] < pEnd)) {
3627         points[q*2]   = points[p];
3628         points[q*2+1] = points[p+1];
3629         ++q;
3630       }
3631     }
3632     numPoints = q;
3633   } else {
3634     PetscInt dof, off;
3635 
3636     ierr = PetscSectionGetDof(clSection, point, &dof);CHKERRQ(ierr);
3637     ierr = PetscSectionGetOffset(clSection, point, &off);CHKERRQ(ierr);
3638     ierr = ISGetIndices(clPoints, &clp);CHKERRQ(ierr);
3639     numPoints = dof/2;
3640     points    = (PetscInt *) &clp[off];
3641   }
3642   /* Get array */
3643   ierr = VecGetArray(v, &array);CHKERRQ(ierr);
3644   /* Get values */
3645   if (numFields > 0) {
3646     PetscInt offset = 0, fcomp, f;
3647     for (f = 0; f < numFields; ++f) {
3648       ierr = PetscSectionGetFieldComponents(section, f, &fcomp);CHKERRQ(ierr);
3649       switch (mode) {
3650       case INSERT_VALUES:
3651         for (p = 0; p < numPoints*2; p += 2) {
3652           const PetscInt point = points[p];
3653           const PetscInt o     = points[p+1];
3654           updatePointFields_private(section, point, o, f, fcomp, insert, PETSC_FALSE, values, &offset, array);
3655         } break;
3656       case INSERT_ALL_VALUES:
3657         for (p = 0; p < numPoints*2; p += 2) {
3658           const PetscInt point = points[p];
3659           const PetscInt o     = points[p+1];
3660           updatePointFields_private(section, point, o, f, fcomp, insert, PETSC_TRUE, values, &offset, array);
3661         } break;
3662       case INSERT_BC_VALUES:
3663         for (p = 0; p < numPoints*2; p += 2) {
3664           const PetscInt point = points[p];
3665           const PetscInt o     = points[p+1];
3666           updatePointFieldsBC_private(section, point, o, f, fcomp, insert, values, &offset, array);
3667         } break;
3668       case ADD_VALUES:
3669         for (p = 0; p < numPoints*2; p += 2) {
3670           const PetscInt point = points[p];
3671           const PetscInt o     = points[p+1];
3672           updatePointFields_private(section, point, o, f, fcomp, add, PETSC_FALSE, values, &offset, array);
3673         } break;
3674       case ADD_ALL_VALUES:
3675         for (p = 0; p < numPoints*2; p += 2) {
3676           const PetscInt point = points[p];
3677           const PetscInt o     = points[p+1];
3678           updatePointFields_private(section, point, o, f, fcomp, add, PETSC_TRUE, values, &offset, array);
3679         } break;
3680       default:
3681         SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Invalid insert mode %d", mode);
3682       }
3683     }
3684   } else {
3685     PetscInt dof, off;
3686 
3687     switch (mode) {
3688     case INSERT_VALUES:
3689       for (p = 0, off = 0; p < numPoints*2; p += 2, off += dof) {
3690         PetscInt o = points[p+1];
3691         ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
3692         updatePoint_private(section, points[p], dof, insert, PETSC_FALSE, o, &values[off], array);
3693       } break;
3694     case INSERT_ALL_VALUES:
3695       for (p = 0, off = 0; p < numPoints*2; p += 2, off += dof) {
3696         PetscInt o = points[p+1];
3697         ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
3698         updatePoint_private(section, points[p], dof, insert, PETSC_TRUE,  o, &values[off], array);
3699       } break;
3700     case INSERT_BC_VALUES:
3701       for (p = 0, off = 0; p < numPoints*2; p += 2, off += dof) {
3702         PetscInt o = points[p+1];
3703         ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
3704         updatePointBC_private(section, points[p], dof, insert,  o, &values[off], array);
3705       } break;
3706     case ADD_VALUES:
3707       for (p = 0, off = 0; p < numPoints*2; p += 2, off += dof) {
3708         PetscInt o = points[p+1];
3709         ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
3710         updatePoint_private(section, points[p], dof, add,    PETSC_FALSE, o, &values[off], array);
3711       } break;
3712     case ADD_ALL_VALUES:
3713       for (p = 0, off = 0; p < numPoints*2; p += 2, off += dof) {
3714         PetscInt o = points[p+1];
3715         ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
3716         updatePoint_private(section, points[p], dof, add,    PETSC_TRUE,  o, &values[off], array);
3717       } break;
3718     default:
3719       SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Invalid insert mode %d", mode);
3720     }
3721   }
3722   /* Cleanup points */
3723   if (!clPoints) {ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);}
3724   else           {ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);}
3725   /* Cleanup array */
3726   ierr = VecRestoreArray(v, &array);CHKERRQ(ierr);
3727   PetscFunctionReturn(0);
3728 }
3729 
3730 #undef __FUNCT__
3731 #define __FUNCT__ "DMPlexVecSetFieldClosure_Internal"
3732 PetscErrorCode DMPlexVecSetFieldClosure_Internal(DM dm, PetscSection section, Vec v, PetscBool fieldActive[], PetscInt point, const PetscScalar values[], InsertMode mode)
3733 {
3734   PetscSection    clSection;
3735   IS              clPoints;
3736   PetscScalar    *array;
3737   PetscInt       *points = NULL;
3738   const PetscInt *clp;
3739   PetscInt        numFields, numPoints, p;
3740   PetscInt        offset = 0, fcomp, f;
3741   PetscErrorCode  ierr;
3742 
3743   PetscFunctionBeginHot;
3744   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3745   if (!section) {ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);}
3746   PetscValidHeaderSpecific(section, PETSC_SECTION_CLASSID, 2);
3747   PetscValidHeaderSpecific(v, VEC_CLASSID, 3);
3748   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
3749   /* Get points */
3750   ierr = PetscSectionGetClosureIndex(section, (PetscObject) dm, &clSection, &clPoints);CHKERRQ(ierr);
3751   if (!clPoints) {
3752     PetscInt pStart, pEnd, q;
3753 
3754     ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
3755     ierr = DMPlexGetTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
3756     /* Compress out points not in the section */
3757     for (p = 0, q = 0; p < numPoints*2; p += 2) {
3758       if ((points[p] >= pStart) && (points[p] < pEnd)) {
3759         points[q*2]   = points[p];
3760         points[q*2+1] = points[p+1];
3761         ++q;
3762       }
3763     }
3764     numPoints = q;
3765   } else {
3766     PetscInt dof, off;
3767 
3768     ierr = PetscSectionGetDof(clSection, point, &dof);CHKERRQ(ierr);
3769     ierr = PetscSectionGetOffset(clSection, point, &off);CHKERRQ(ierr);
3770     ierr = ISGetIndices(clPoints, &clp);CHKERRQ(ierr);
3771     numPoints = dof/2;
3772     points    = (PetscInt *) &clp[off];
3773   }
3774   /* Get array */
3775   ierr = VecGetArray(v, &array);CHKERRQ(ierr);
3776   /* Get values */
3777   for (f = 0; f < numFields; ++f) {
3778     ierr = PetscSectionGetFieldComponents(section, f, &fcomp);CHKERRQ(ierr);
3779     if (!fieldActive[f]) {
3780       for (p = 0; p < numPoints*2; p += 2) {
3781         PetscInt fdof;
3782         ierr = PetscSectionGetFieldDof(section, points[p], f, &fdof);CHKERRQ(ierr);
3783         offset += fdof;
3784       }
3785       continue;
3786     }
3787     switch (mode) {
3788     case INSERT_VALUES:
3789       for (p = 0; p < numPoints*2; p += 2) {
3790         const PetscInt point = points[p];
3791         const PetscInt o     = points[p+1];
3792         updatePointFields_private(section, point, o, f, fcomp, insert, PETSC_FALSE, values, &offset, array);
3793       } break;
3794     case INSERT_ALL_VALUES:
3795       for (p = 0; p < numPoints*2; p += 2) {
3796         const PetscInt point = points[p];
3797         const PetscInt o     = points[p+1];
3798         updatePointFields_private(section, point, o, f, fcomp, insert, PETSC_TRUE, values, &offset, array);
3799         } break;
3800     case INSERT_BC_VALUES:
3801       for (p = 0; p < numPoints*2; p += 2) {
3802         const PetscInt point = points[p];
3803         const PetscInt o     = points[p+1];
3804         updatePointFieldsBC_private(section, point, o, f, fcomp, insert, values, &offset, array);
3805       } break;
3806     case ADD_VALUES:
3807       for (p = 0; p < numPoints*2; p += 2) {
3808         const PetscInt point = points[p];
3809         const PetscInt o     = points[p+1];
3810         updatePointFields_private(section, point, o, f, fcomp, add, PETSC_FALSE, values, &offset, array);
3811       } break;
3812     case ADD_ALL_VALUES:
3813       for (p = 0; p < numPoints*2; p += 2) {
3814         const PetscInt point = points[p];
3815         const PetscInt o     = points[p+1];
3816         updatePointFields_private(section, point, o, f, fcomp, add, PETSC_TRUE, values, &offset, array);
3817       } break;
3818     default:
3819       SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Invalid insert mode %d", mode);
3820     }
3821   }
3822   /* Cleanup points */
3823   if (!clPoints) {ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);}
3824   else           {ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);}
3825   /* Cleanup array */
3826   ierr = VecRestoreArray(v, &array);CHKERRQ(ierr);
3827   PetscFunctionReturn(0);
3828 }
3829 
3830 #undef __FUNCT__
3831 #define __FUNCT__ "DMPlexPrintMatSetValues"
3832 PetscErrorCode DMPlexPrintMatSetValues(PetscViewer viewer, Mat A, PetscInt point, PetscInt numRIndices, const PetscInt rindices[], PetscInt numCIndices, const PetscInt cindices[], const PetscScalar values[])
3833 {
3834   PetscMPIInt    rank;
3835   PetscInt       i, j;
3836   PetscErrorCode ierr;
3837 
3838   PetscFunctionBegin;
3839   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &rank);CHKERRQ(ierr);
3840   ierr = PetscViewerASCIIPrintf(viewer, "[%d]mat for sieve point %D\n", rank, point);CHKERRQ(ierr);
3841   for (i = 0; i < numRIndices; i++) {ierr = PetscViewerASCIIPrintf(viewer, "[%d]mat row indices[%D] = %D\n", rank, i, rindices[i]);CHKERRQ(ierr);}
3842   for (i = 0; i < numCIndices; i++) {ierr = PetscViewerASCIIPrintf(viewer, "[%d]mat col indices[%D] = %D\n", rank, i, cindices[i]);CHKERRQ(ierr);}
3843   numCIndices = numCIndices ? numCIndices : numRIndices;
3844   for (i = 0; i < numRIndices; i++) {
3845     ierr = PetscViewerASCIIPrintf(viewer, "[%d]", rank);CHKERRQ(ierr);
3846     for (j = 0; j < numCIndices; j++) {
3847 #if defined(PETSC_USE_COMPLEX)
3848       ierr = PetscViewerASCIIPrintf(viewer, " (%g,%g)", (double)PetscRealPart(values[i*numCIndices+j]), (double)PetscImaginaryPart(values[i*numCIndices+j]));CHKERRQ(ierr);
3849 #else
3850       ierr = PetscViewerASCIIPrintf(viewer, " %g", (double)values[i*numCIndices+j]);CHKERRQ(ierr);
3851 #endif
3852     }
3853     ierr = PetscViewerASCIIPrintf(viewer, "\n");CHKERRQ(ierr);
3854   }
3855   PetscFunctionReturn(0);
3856 }
3857 
3858 #undef __FUNCT__
3859 #define __FUNCT__ "indicesPoint_private"
3860 /* . off - The global offset of this point */
3861 PetscErrorCode indicesPoint_private(PetscSection section, PetscInt point, PetscInt off, PetscInt *loff, PetscBool setBC, PetscInt orientation, PetscInt indices[])
3862 {
3863   PetscInt        dof;    /* The number of unknowns on this point */
3864   PetscInt        cdof;   /* The number of constraints on this point */
3865   const PetscInt *cdofs; /* The indices of the constrained dofs on this point */
3866   PetscInt        cind = 0, k;
3867   PetscErrorCode  ierr;
3868 
3869   PetscFunctionBegin;
3870   ierr = PetscSectionGetDof(section, point, &dof);CHKERRQ(ierr);
3871   ierr = PetscSectionGetConstraintDof(section, point, &cdof);CHKERRQ(ierr);
3872   if (!cdof || setBC) {
3873     if (orientation >= 0) {
3874       for (k = 0; k < dof; ++k) indices[*loff+k] = off+k;
3875     } else {
3876       for (k = 0; k < dof; ++k) indices[*loff+dof-k-1] = off+k;
3877     }
3878   } else {
3879     ierr = PetscSectionGetConstraintIndices(section, point, &cdofs);CHKERRQ(ierr);
3880     if (orientation >= 0) {
3881       for (k = 0; k < dof; ++k) {
3882         if ((cind < cdof) && (k == cdofs[cind])) {
3883           /* Insert check for returning constrained indices */
3884           indices[*loff+k] = -(off+k+1);
3885           ++cind;
3886         } else {
3887           indices[*loff+k] = off+k-cind;
3888         }
3889       }
3890     } else {
3891       for (k = 0; k < dof; ++k) {
3892         if ((cind < cdof) && (k == cdofs[cind])) {
3893           /* Insert check for returning constrained indices */
3894           indices[*loff+dof-k-1] = -(off+k+1);
3895           ++cind;
3896         } else {
3897           indices[*loff+dof-k-1] = off+k-cind;
3898         }
3899       }
3900     }
3901   }
3902   *loff += dof;
3903   PetscFunctionReturn(0);
3904 }
3905 
3906 #undef __FUNCT__
3907 #define __FUNCT__ "indicesPointFields_private"
3908 /* . off - The global offset of this point */
3909 PetscErrorCode indicesPointFields_private(PetscSection section, PetscInt point, PetscInt off, PetscInt foffs[], PetscBool setBC, PetscInt orientation, PetscInt indices[])
3910 {
3911   PetscInt       numFields, foff, f;
3912   PetscErrorCode ierr;
3913 
3914   PetscFunctionBegin;
3915   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
3916   for (f = 0, foff = 0; f < numFields; ++f) {
3917     PetscInt        fdof, fcomp, cfdof;
3918     const PetscInt *fcdofs; /* The indices of the constrained dofs for field f on this point */
3919     PetscInt        cind = 0, k, c;
3920 
3921     ierr = PetscSectionGetFieldComponents(section, f, &fcomp);CHKERRQ(ierr);
3922     ierr = PetscSectionGetFieldDof(section, point, f, &fdof);CHKERRQ(ierr);
3923     ierr = PetscSectionGetFieldConstraintDof(section, point, f, &cfdof);CHKERRQ(ierr);
3924     if (!cfdof || setBC) {
3925       if (orientation >= 0) {
3926         for (k = 0; k < fdof; ++k) indices[foffs[f]+k] = off+foff+k;
3927       } else {
3928         for (k = fdof/fcomp-1; k >= 0; --k) {
3929           for (c = 0; c < fcomp; ++c) {
3930             indices[foffs[f]+k*fcomp+c] = off+foff+(fdof/fcomp-1-k)*fcomp+c;
3931           }
3932         }
3933       }
3934     } else {
3935       ierr = PetscSectionGetFieldConstraintIndices(section, point, f, &fcdofs);CHKERRQ(ierr);
3936       if (orientation >= 0) {
3937         for (k = 0; k < fdof; ++k) {
3938           if ((cind < cfdof) && (k == fcdofs[cind])) {
3939             indices[foffs[f]+k] = -(off+foff+k+1);
3940             ++cind;
3941           } else {
3942             indices[foffs[f]+k] = off+foff+k-cind;
3943           }
3944         }
3945       } else {
3946         for (k = fdof/fcomp-1; k >= 0; --k) {
3947           for (c = 0; c < fcomp; ++c) {
3948             if ((cind < cfdof) && ((fdof/fcomp-1-k)*fcomp+c == fcdofs[cind])) {
3949               indices[foffs[f]+k*fcomp+c] = -(off+foff+(fdof/fcomp-1-k)*fcomp+c+1);
3950               ++cind;
3951             } else {
3952               indices[foffs[f]+k*fcomp+c] = off+foff+(fdof/fcomp-1-k)*fcomp+c-cind;
3953             }
3954           }
3955         }
3956       }
3957     }
3958     foff     += (setBC ? fdof : (fdof - cfdof));
3959     foffs[f] += fdof;
3960   }
3961   PetscFunctionReturn(0);
3962 }
3963 
3964 #undef __FUNCT__
3965 #define __FUNCT__ "DMPlexAnchorsModifyMat"
3966 static 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[])
3967 {
3968   Mat             cMat;
3969   PetscSection    aSec, cSec;
3970   IS              aIS;
3971   PetscInt        aStart = -1, aEnd = -1;
3972   const PetscInt  *anchors;
3973   PetscInt        numFields, f, p, q, newP = 0;
3974   PetscInt        newNumPoints = 0, newNumIndices = 0;
3975   PetscInt        *newPoints, *indices, *newIndices;
3976   PetscInt        maxAnchor, maxDof;
3977   PetscInt        newOffsets[32];
3978   PetscInt        *pointMatOffsets[32];
3979   PetscInt        *newPointOffsets[32];
3980   PetscScalar     *pointMat[32];
3981   PetscScalar     *newValues,*tmpValues;
3982   PetscBool       anyConstrained = PETSC_FALSE;
3983   PetscErrorCode  ierr;
3984 
3985   PetscFunctionBegin;
3986   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3987   PetscValidHeaderSpecific(section, PETSC_SECTION_CLASSID, 2);
3988   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
3989 
3990   ierr = DMPlexGetAnchors(dm,&aSec,&aIS);CHKERRQ(ierr);
3991   /* if there are point-to-point constraints */
3992   if (aSec) {
3993     ierr = PetscMemzero(newOffsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
3994     ierr = ISGetIndices(aIS,&anchors);CHKERRQ(ierr);
3995     ierr = PetscSectionGetChart(aSec,&aStart,&aEnd);CHKERRQ(ierr);
3996     /* figure out how many points are going to be in the new element matrix
3997      * (we allow double counting, because it's all just going to be summed
3998      * into the global matrix anyway) */
3999     for (p = 0; p < 2*numPoints; p+=2) {
4000       PetscInt b    = points[p];
4001       PetscInt bDof = 0, bSecDof;
4002 
4003       ierr = PetscSectionGetDof(section,b,&bSecDof);CHKERRQ(ierr);
4004       if (!bSecDof) {
4005         continue;
4006       }
4007       if (b >= aStart && b < aEnd) {
4008         ierr = PetscSectionGetDof(aSec,b,&bDof);CHKERRQ(ierr);
4009       }
4010       if (bDof) {
4011         /* this point is constrained */
4012         /* it is going to be replaced by its anchors */
4013         PetscInt bOff, q;
4014 
4015         anyConstrained = PETSC_TRUE;
4016         newNumPoints  += bDof;
4017         ierr = PetscSectionGetOffset(aSec,b,&bOff);CHKERRQ(ierr);
4018         for (q = 0; q < bDof; q++) {
4019           PetscInt a = anchors[bOff + q];
4020           PetscInt aDof;
4021 
4022           ierr           = PetscSectionGetDof(section,a,&aDof);CHKERRQ(ierr);
4023           newNumIndices += aDof;
4024           for (f = 0; f < numFields; ++f) {
4025             PetscInt fDof;
4026 
4027             ierr             = PetscSectionGetFieldDof(section, a, f, &fDof);CHKERRQ(ierr);
4028             newOffsets[f+1] += fDof;
4029           }
4030         }
4031       }
4032       else {
4033         /* this point is not constrained */
4034         newNumPoints++;
4035         newNumIndices += bSecDof;
4036         for (f = 0; f < numFields; ++f) {
4037           PetscInt fDof;
4038 
4039           ierr = PetscSectionGetFieldDof(section, b, f, &fDof);CHKERRQ(ierr);
4040           newOffsets[f+1] += fDof;
4041         }
4042       }
4043     }
4044   }
4045   if (!anyConstrained) {
4046     if (outNumPoints)  *outNumPoints  = 0;
4047     if (outNumIndices) *outNumIndices = 0;
4048     if (outPoints)     *outPoints     = NULL;
4049     if (outValues)     *outValues     = NULL;
4050     if (aSec) {ierr = ISRestoreIndices(aIS,&anchors);CHKERRQ(ierr);}
4051     PetscFunctionReturn(0);
4052   }
4053 
4054   for (f = 1; f < numFields; ++f) newOffsets[f+1] += newOffsets[f];
4055 
4056   if (numFields && newOffsets[numFields] != newNumIndices) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid size for closure %D should be %D", newOffsets[numFields], newNumIndices);
4057 
4058   ierr = DMGetDefaultConstraints(dm, &cSec, &cMat);CHKERRQ(ierr);
4059 
4060   /* output arrays */
4061   ierr = DMGetWorkArray(dm,2*newNumPoints,PETSC_INT,&newPoints);CHKERRQ(ierr);
4062   ierr = DMGetWorkArray(dm,newNumIndices*newNumIndices,PETSC_SCALAR,&newValues);CHKERRQ(ierr);
4063 
4064   /* workspaces */
4065   ierr = DMGetWorkArray(dm,newNumIndices*numIndices,PETSC_SCALAR,&tmpValues);CHKERRQ(ierr);
4066   if (numFields) {
4067     for (f = 0; f < numFields; f++) {
4068       ierr = DMGetWorkArray(dm,numPoints+1,PETSC_INT,&pointMatOffsets[f]);CHKERRQ(ierr);
4069       ierr = DMGetWorkArray(dm,numPoints+1,PETSC_INT,&newPointOffsets[f]);CHKERRQ(ierr);
4070     }
4071   }
4072   else {
4073     ierr = DMGetWorkArray(dm,numPoints+1,PETSC_INT,&pointMatOffsets[0]);CHKERRQ(ierr);
4074     ierr = DMGetWorkArray(dm,numPoints,PETSC_INT,&newPointOffsets[0]);CHKERRQ(ierr);
4075   }
4076 
4077   /* get workspaces for the point-to-point matrices */
4078   if (numFields) {
4079     PetscInt totalOffset, totalMatOffset;
4080 
4081     for (p = 0; p < numPoints; p++) {
4082       PetscInt b    = points[2*p];
4083       PetscInt bDof = 0, bSecDof;
4084 
4085       ierr = PetscSectionGetDof(section,b,&bSecDof);CHKERRQ(ierr);
4086       if (!bSecDof) {
4087         for (f = 0; f < numFields; f++) {
4088           newPointOffsets[f][p + 1] = 0;
4089           pointMatOffsets[f][p + 1] = 0;
4090         }
4091         continue;
4092       }
4093       if (b >= aStart && b < aEnd) {
4094         ierr = PetscSectionGetDof(aSec, b, &bDof);CHKERRQ(ierr);
4095       }
4096       if (bDof) {
4097         for (f = 0; f < numFields; f++) {
4098           PetscInt fDof, q, bOff, allFDof = 0;
4099 
4100           ierr = PetscSectionGetFieldDof(section, b, f, &fDof);CHKERRQ(ierr);
4101           ierr = PetscSectionGetOffset(aSec, b, &bOff);CHKERRQ(ierr);
4102           for (q = 0; q < bDof; q++) {
4103             PetscInt a = anchors[bOff + q];
4104             PetscInt aFDof;
4105 
4106             ierr     = PetscSectionGetFieldDof(section, a, f, &aFDof);CHKERRQ(ierr);
4107             allFDof += aFDof;
4108           }
4109           newPointOffsets[f][p+1] = allFDof;
4110           pointMatOffsets[f][p+1] = fDof * allFDof;
4111         }
4112       }
4113       else {
4114         for (f = 0; f < numFields; f++) {
4115           PetscInt fDof;
4116 
4117           ierr = PetscSectionGetFieldDof(section, b, f, &fDof);CHKERRQ(ierr);
4118           newPointOffsets[f][p+1] = fDof;
4119           pointMatOffsets[f][p+1] = 0;
4120         }
4121       }
4122     }
4123     for (f = 0, totalOffset = 0, totalMatOffset = 0; f < numFields; f++) {
4124       newPointOffsets[f][0] = totalOffset;
4125       pointMatOffsets[f][0] = totalMatOffset;
4126       for (p = 0; p < numPoints; p++) {
4127         newPointOffsets[f][p+1] += newPointOffsets[f][p];
4128         pointMatOffsets[f][p+1] += pointMatOffsets[f][p];
4129       }
4130       totalOffset    = newPointOffsets[f][numPoints];
4131       totalMatOffset = pointMatOffsets[f][numPoints];
4132       ierr = DMGetWorkArray(dm,pointMatOffsets[f][numPoints],PETSC_SCALAR,&pointMat[f]);CHKERRQ(ierr);
4133     }
4134   }
4135   else {
4136     for (p = 0; p < numPoints; p++) {
4137       PetscInt b    = points[2*p];
4138       PetscInt bDof = 0, bSecDof;
4139 
4140       ierr = PetscSectionGetDof(section,b,&bSecDof);CHKERRQ(ierr);
4141       if (!bSecDof) {
4142         newPointOffsets[0][p + 1] = 0;
4143         pointMatOffsets[0][p + 1] = 0;
4144         continue;
4145       }
4146       if (b >= aStart && b < aEnd) {
4147         ierr = PetscSectionGetDof(aSec, b, &bDof);CHKERRQ(ierr);
4148       }
4149       if (bDof) {
4150         PetscInt bOff, q, allDof = 0;
4151 
4152         ierr = PetscSectionGetOffset(aSec, b, &bOff);CHKERRQ(ierr);
4153         for (q = 0; q < bDof; q++) {
4154           PetscInt a = anchors[bOff + q], aDof;
4155 
4156           ierr    = PetscSectionGetDof(section, a, &aDof);CHKERRQ(ierr);
4157           allDof += aDof;
4158         }
4159         newPointOffsets[0][p+1] = allDof;
4160         pointMatOffsets[0][p+1] = bSecDof * allDof;
4161       }
4162       else {
4163         newPointOffsets[0][p+1] = bSecDof;
4164         pointMatOffsets[0][p+1] = 0;
4165       }
4166     }
4167     newPointOffsets[0][0] = 0;
4168     pointMatOffsets[0][0] = 0;
4169     for (p = 0; p < numPoints; p++) {
4170       newPointOffsets[0][p+1] += newPointOffsets[0][p];
4171       pointMatOffsets[0][p+1] += pointMatOffsets[0][p];
4172     }
4173     ierr = DMGetWorkArray(dm,pointMatOffsets[0][numPoints],PETSC_SCALAR,&pointMat[0]);CHKERRQ(ierr);
4174   }
4175 
4176   /* get the point-to-point matrices; construct newPoints */
4177   ierr = PetscSectionGetMaxDof(aSec, &maxAnchor);CHKERRQ(ierr);
4178   ierr = PetscSectionGetMaxDof(section, &maxDof);CHKERRQ(ierr);
4179   ierr = DMGetWorkArray(dm,maxDof,PETSC_INT,&indices);CHKERRQ(ierr);
4180   ierr = DMGetWorkArray(dm,maxAnchor*maxDof,PETSC_INT,&newIndices);CHKERRQ(ierr);
4181   if (numFields) {
4182     for (p = 0, newP = 0; p < numPoints; p++) {
4183       PetscInt b    = points[2*p];
4184       PetscInt o    = points[2*p+1];
4185       PetscInt bDof = 0, bSecDof;
4186 
4187       ierr = PetscSectionGetDof(section, b, &bSecDof);CHKERRQ(ierr);
4188       if (!bSecDof) {
4189         continue;
4190       }
4191       if (b >= aStart && b < aEnd) {
4192         ierr = PetscSectionGetDof(aSec, b, &bDof);CHKERRQ(ierr);
4193       }
4194       if (bDof) {
4195         PetscInt fStart[32], fEnd[32], fAnchorStart[32], fAnchorEnd[32], bOff, q;
4196 
4197         fStart[0] = 0;
4198         fEnd[0]   = 0;
4199         for (f = 0; f < numFields; f++) {
4200           PetscInt fDof;
4201 
4202           ierr        = PetscSectionGetFieldDof(cSec, b, f, &fDof);CHKERRQ(ierr);
4203           fStart[f+1] = fStart[f] + fDof;
4204           fEnd[f+1]   = fStart[f+1];
4205         }
4206         ierr = PetscSectionGetOffset(cSec, b, &bOff);CHKERRQ(ierr);
4207         ierr = indicesPointFields_private(cSec, b, bOff, fEnd, PETSC_TRUE, o, indices);CHKERRQ(ierr);
4208 
4209         fAnchorStart[0] = 0;
4210         fAnchorEnd[0]   = 0;
4211         for (f = 0; f < numFields; f++) {
4212           PetscInt fDof = newPointOffsets[f][p + 1] - newPointOffsets[f][p];
4213 
4214           fAnchorStart[f+1] = fAnchorStart[f] + fDof;
4215           fAnchorEnd[f+1]   = fAnchorStart[f + 1];
4216         }
4217         ierr = PetscSectionGetOffset (aSec, b, &bOff);CHKERRQ(ierr);
4218         for (q = 0; q < bDof; q++) {
4219           PetscInt a = anchors[bOff + q], aOff;
4220 
4221           /* we take the orientation of ap into account in the order that we constructed the indices above: the newly added points have no orientation */
4222           newPoints[2*(newP + q)]     = a;
4223           newPoints[2*(newP + q) + 1] = 0;
4224           ierr = PetscSectionGetOffset(section, a, &aOff);CHKERRQ(ierr);
4225           ierr = indicesPointFields_private(section, a, aOff, fAnchorEnd, PETSC_TRUE, 0, newIndices);CHKERRQ(ierr);
4226         }
4227         newP += bDof;
4228 
4229         /* get the point-to-point submatrix */
4230         for (f = 0; f < numFields; f++) {
4231           ierr = MatGetValues(cMat,fEnd[f]-fStart[f],indices + fStart[f],fAnchorEnd[f] - fAnchorStart[f],newIndices + fAnchorStart[f],pointMat[f] + pointMatOffsets[f][p]);CHKERRQ(ierr);
4232         }
4233       }
4234       else {
4235         newPoints[2 * newP]     = b;
4236         newPoints[2 * newP + 1] = o;
4237         newP++;
4238       }
4239     }
4240   } else {
4241     for (p = 0; p < numPoints; p++) {
4242       PetscInt b    = points[2*p];
4243       PetscInt o    = points[2*p+1];
4244       PetscInt bDof = 0, bSecDof;
4245 
4246       ierr = PetscSectionGetDof(section, b, &bSecDof);CHKERRQ(ierr);
4247       if (!bSecDof) {
4248         continue;
4249       }
4250       if (b >= aStart && b < aEnd) {
4251         ierr = PetscSectionGetDof(aSec, b, &bDof);CHKERRQ(ierr);
4252       }
4253       if (bDof) {
4254         PetscInt bEnd = 0, bAnchorEnd = 0, bOff;
4255 
4256         ierr = PetscSectionGetOffset(cSec, b, &bOff);CHKERRQ(ierr);
4257         ierr = indicesPoint_private(cSec, b, bOff, &bEnd, PETSC_TRUE, o, indices);CHKERRQ(ierr);
4258 
4259         ierr = PetscSectionGetOffset (aSec, b, &bOff);CHKERRQ(ierr);
4260         for (q = 0; q < bDof; q++) {
4261           PetscInt a = anchors[bOff + q], aOff;
4262 
4263           /* we take the orientation of ap into account in the order that we constructed the indices above: the newly added points have no orientation */
4264 
4265           newPoints[2*(newP + q)]     = a;
4266           newPoints[2*(newP + q) + 1] = 0;
4267           ierr = PetscSectionGetOffset(section, a, &aOff);CHKERRQ(ierr);
4268           ierr = indicesPoint_private(section, a, aOff, &bAnchorEnd, PETSC_TRUE, 0, newIndices);CHKERRQ(ierr);
4269         }
4270         newP += bDof;
4271 
4272         /* get the point-to-point submatrix */
4273         ierr = MatGetValues(cMat,bEnd,indices,bAnchorEnd,newIndices,pointMat[0] + pointMatOffsets[0][p]);CHKERRQ(ierr);
4274       }
4275       else {
4276         newPoints[2 * newP]     = b;
4277         newPoints[2 * newP + 1] = o;
4278         newP++;
4279       }
4280     }
4281   }
4282 
4283   ierr = PetscMemzero(tmpValues,newNumIndices*numIndices*sizeof(*tmpValues));CHKERRQ(ierr);
4284   /* multiply constraints on the right */
4285   if (numFields) {
4286     for (f = 0; f < numFields; f++) {
4287       PetscInt oldOff = offsets[f];
4288 
4289       for (p = 0; p < numPoints; p++) {
4290         PetscInt cStart = newPointOffsets[f][p];
4291         PetscInt b      = points[2 * p];
4292         PetscInt c, r, k;
4293         PetscInt dof;
4294 
4295         ierr = PetscSectionGetFieldDof(section,b,f,&dof);CHKERRQ(ierr);
4296         if (!dof) {
4297           continue;
4298         }
4299         if (pointMatOffsets[f][p] < pointMatOffsets[f][p + 1]) {
4300           PetscInt nCols         = newPointOffsets[f][p+1]-cStart;
4301           const PetscScalar *mat = pointMat[f] + pointMatOffsets[f][p];
4302 
4303           for (r = 0; r < numIndices; r++) {
4304             for (c = 0; c < nCols; c++) {
4305               for (k = 0; k < dof; k++) {
4306                 tmpValues[r * newNumIndices + cStart + c] += mat[k * nCols + c] * values[r * numIndices + oldOff + k];
4307               }
4308             }
4309           }
4310         }
4311         else {
4312           /* copy this column as is */
4313           for (r = 0; r < numIndices; r++) {
4314             for (c = 0; c < dof; c++) {
4315               tmpValues[r * newNumIndices + cStart + c] = values[r * numIndices + oldOff + c];
4316             }
4317           }
4318         }
4319         oldOff += dof;
4320       }
4321     }
4322   }
4323   else {
4324     PetscInt oldOff = 0;
4325     for (p = 0; p < numPoints; p++) {
4326       PetscInt cStart = newPointOffsets[0][p];
4327       PetscInt b      = points[2 * p];
4328       PetscInt c, r, k;
4329       PetscInt dof;
4330 
4331       ierr = PetscSectionGetDof(section,b,&dof);CHKERRQ(ierr);
4332       if (!dof) {
4333         continue;
4334       }
4335       if (pointMatOffsets[0][p] < pointMatOffsets[0][p + 1]) {
4336         PetscInt nCols         = newPointOffsets[0][p+1]-cStart;
4337         const PetscScalar *mat = pointMat[0] + pointMatOffsets[0][p];
4338 
4339         for (r = 0; r < numIndices; r++) {
4340           for (c = 0; c < nCols; c++) {
4341             for (k = 0; k < dof; k++) {
4342               tmpValues[r * newNumIndices + cStart + c] += mat[k * nCols + c] * values[r * numIndices + oldOff + k];
4343             }
4344           }
4345         }
4346       }
4347       else {
4348         /* copy this column as is */
4349         for (r = 0; r < numIndices; r++) {
4350           for (c = 0; c < dof; c++) {
4351             tmpValues[r * newNumIndices + cStart + c] = values[r * numIndices + oldOff + c];
4352           }
4353         }
4354       }
4355       oldOff += dof;
4356     }
4357   }
4358 
4359   ierr = PetscMemzero(newValues,newNumIndices*newNumIndices*sizeof(*newValues));CHKERRQ(ierr);
4360   /* multiply constraints transpose on the left */
4361   if (numFields) {
4362     for (f = 0; f < numFields; f++) {
4363       PetscInt oldOff = offsets[f];
4364 
4365       for (p = 0; p < numPoints; p++) {
4366         PetscInt rStart = newPointOffsets[f][p];
4367         PetscInt b      = points[2 * p];
4368         PetscInt c, r, k;
4369         PetscInt dof;
4370 
4371         ierr = PetscSectionGetFieldDof(section,b,f,&dof);CHKERRQ(ierr);
4372         if (pointMatOffsets[f][p] < pointMatOffsets[f][p + 1]) {
4373           PetscInt nRows                        = newPointOffsets[f][p+1]-rStart;
4374           const PetscScalar *PETSC_RESTRICT mat = pointMat[f] + pointMatOffsets[f][p];
4375 
4376           for (r = 0; r < nRows; r++) {
4377             for (c = 0; c < newNumIndices; c++) {
4378               for (k = 0; k < dof; k++) {
4379                 newValues[(rStart + r) * newNumIndices + c] += mat[k * nRows + r] * tmpValues[(oldOff + k) * newNumIndices + c];
4380               }
4381             }
4382           }
4383         }
4384         else {
4385           /* copy this row as is */
4386           for (r = 0; r < dof; r++) {
4387             for (c = 0; c < newNumIndices; c++) {
4388               newValues[(rStart + r) * newNumIndices + c] = tmpValues[(oldOff + r) * newNumIndices + c];
4389             }
4390           }
4391         }
4392         oldOff += dof;
4393       }
4394     }
4395   }
4396   else {
4397     PetscInt oldOff = 0;
4398 
4399     for (p = 0; p < numPoints; p++) {
4400       PetscInt rStart = newPointOffsets[0][p];
4401       PetscInt b      = points[2 * p];
4402       PetscInt c, r, k;
4403       PetscInt dof;
4404 
4405       ierr = PetscSectionGetDof(section,b,&dof);CHKERRQ(ierr);
4406       if (pointMatOffsets[0][p] < pointMatOffsets[0][p + 1]) {
4407         PetscInt nRows                        = newPointOffsets[0][p+1]-rStart;
4408         const PetscScalar *PETSC_RESTRICT mat = pointMat[0] + pointMatOffsets[0][p];
4409 
4410         for (r = 0; r < nRows; r++) {
4411           for (c = 0; c < newNumIndices; c++) {
4412             for (k = 0; k < dof; k++) {
4413               newValues[(rStart + r) * newNumIndices + c] += mat[k * nRows + r] * tmpValues[(oldOff + k) * newNumIndices + c];
4414             }
4415           }
4416         }
4417       }
4418       else {
4419         /* copy this row as is */
4420         for (r = 0; r < dof; c++) {
4421           for (c = 0; c < newNumIndices; c++) {
4422             newValues[(rStart + r) * newNumIndices + c] = tmpValues[(oldOff + r) * newNumIndices + c];
4423           }
4424         }
4425       }
4426       oldOff += dof;
4427     }
4428   }
4429 
4430   /* clean up */
4431   ierr = DMRestoreWorkArray(dm,maxDof,PETSC_INT,&indices);CHKERRQ(ierr);
4432   ierr = DMRestoreWorkArray(dm,maxAnchor*maxDof,PETSC_INT,&newIndices);CHKERRQ(ierr);
4433   if (numFields) {
4434     for (f = 0; f < numFields; f++) {
4435       ierr = DMRestoreWorkArray(dm,pointMatOffsets[f][numPoints],PETSC_SCALAR,&pointMat[f]);CHKERRQ(ierr);
4436       ierr = DMRestoreWorkArray(dm,numPoints+1,PETSC_INT,&pointMatOffsets[f]);CHKERRQ(ierr);
4437       ierr = DMRestoreWorkArray(dm,numPoints+1,PETSC_INT,&newPointOffsets[f]);CHKERRQ(ierr);
4438     }
4439   }
4440   else {
4441     ierr = DMRestoreWorkArray(dm,pointMatOffsets[0][numPoints],PETSC_SCALAR,&pointMat[0]);CHKERRQ(ierr);
4442     ierr = DMRestoreWorkArray(dm,numPoints+1,PETSC_INT,&pointMatOffsets[0]);CHKERRQ(ierr);
4443     ierr = DMRestoreWorkArray(dm,numPoints+1,PETSC_INT,&newPointOffsets[0]);CHKERRQ(ierr);
4444   }
4445   ierr = DMRestoreWorkArray(dm,newNumIndices*numIndices,PETSC_SCALAR,&tmpValues);CHKERRQ(ierr);
4446   ierr = ISRestoreIndices(aIS,&anchors);CHKERRQ(ierr);
4447 
4448   /* output */
4449   *outNumPoints  = newNumPoints;
4450   *outNumIndices = newNumIndices;
4451   *outPoints     = newPoints;
4452   *outValues     = newValues;
4453   for (f = 0; f < numFields; f++) {
4454     offsets[f] = newOffsets[f];
4455   }
4456   PetscFunctionReturn(0);
4457 }
4458 
4459 #undef __FUNCT__
4460 #define __FUNCT__ "DMPlexGetClosureIndices"
4461 PetscErrorCode DMPlexGetClosureIndices(DM dm, PetscSection section, PetscSection globalSection, PetscInt point, PetscInt *numIndices, PetscInt **indices)
4462 {
4463   PetscSection    clSection;
4464   IS              clPoints;
4465   const PetscInt *clp;
4466   PetscInt       *points = NULL, *pointsNew;
4467   PetscInt        numPoints, numPointsNew;
4468   PetscInt        offsets[32];
4469   PetscInt        Nf, Nind, NindNew, off, globalOff, f, p;
4470   PetscErrorCode  ierr;
4471 
4472   PetscFunctionBegin;
4473   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
4474   PetscValidHeaderSpecific(section, PETSC_SECTION_CLASSID, 2);
4475   PetscValidHeaderSpecific(globalSection, PETSC_SECTION_CLASSID, 3);
4476   if (numIndices) PetscValidPointer(numIndices, 4);
4477   PetscValidPointer(indices, 5);
4478   ierr = PetscSectionGetNumFields(section, &Nf);CHKERRQ(ierr);
4479   if (Nf > 31) SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Number of fields %D limited to 31", Nf);
4480   ierr = PetscMemzero(offsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
4481   /* Get points in closure */
4482   ierr = PetscSectionGetClosureIndex(section, (PetscObject) dm, &clSection, &clPoints);CHKERRQ(ierr);
4483   if (!clPoints) {
4484     PetscInt pStart, pEnd, q;
4485 
4486     ierr = DMPlexGetTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
4487     /* Compress out points not in the section */
4488     ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
4489     for (p = 0, q = 0; p < numPoints*2; p += 2) {
4490       if ((points[p] >= pStart) && (points[p] < pEnd)) {
4491         points[q*2]   = points[p];
4492         points[q*2+1] = points[p+1];
4493         ++q;
4494       }
4495     }
4496     numPoints = q;
4497   } else {
4498     PetscInt dof, off;
4499 
4500     ierr = PetscSectionGetDof(clSection, point, &dof);CHKERRQ(ierr);
4501     numPoints = dof/2;
4502     ierr = PetscSectionGetOffset(clSection, point, &off);CHKERRQ(ierr);
4503     ierr = ISGetIndices(clPoints, &clp);CHKERRQ(ierr);
4504     points = (PetscInt *) &clp[off];
4505   }
4506   /* Get number of indices and indices per field */
4507   for (p = 0, Nind = 0; p < numPoints*2; p += 2) {
4508     PetscInt dof, fdof;
4509 
4510     ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
4511     for (f = 0; f < Nf; ++f) {
4512       ierr = PetscSectionGetFieldDof(section, points[p], f, &fdof);CHKERRQ(ierr);
4513       offsets[f+1] += fdof;
4514     }
4515     Nind += dof;
4516   }
4517   for (f = 1; f < Nf; ++f) offsets[f+1] += offsets[f];
4518   if (Nf && offsets[Nf] != Nind) SETERRQ2(PetscObjectComm((PetscObject) dm), PETSC_ERR_PLIB, "Invalid size for closure %d should be %d", offsets[Nf], Nind);
4519   /* Correct for hanging node constraints */
4520   {
4521     ierr = DMPlexAnchorsModifyMat(dm, section, numPoints, Nind, points, NULL, &numPointsNew, &NindNew, &pointsNew, NULL, offsets);CHKERRQ(ierr);
4522     if (numPointsNew) {
4523       if (!clPoints) {ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);}
4524       else           {ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);}
4525       numPoints = numPointsNew;
4526       Nind      = NindNew;
4527       points    = pointsNew;
4528     }
4529   }
4530   /* Calculate indices */
4531   ierr = DMGetWorkArray(dm, Nind, PETSC_INT, indices);CHKERRQ(ierr);
4532   if (Nf) {
4533     for (p = 0; p < numPoints*2; p += 2) {
4534       PetscInt o = points[p+1];
4535       ierr = PetscSectionGetOffset(globalSection, points[p], &globalOff);CHKERRQ(ierr);
4536       indicesPointFields_private(section, points[p], globalOff < 0 ? -(globalOff+1) : globalOff, offsets, PETSC_FALSE, o, *indices);
4537     }
4538   } else {
4539     for (p = 0, off = 0; p < numPoints*2; p += 2) {
4540       PetscInt o = points[p+1];
4541       ierr = PetscSectionGetOffset(globalSection, points[p], &globalOff);CHKERRQ(ierr);
4542       indicesPoint_private(section, points[p], globalOff < 0 ? -(globalOff+1) : globalOff, &off, PETSC_FALSE, o, *indices);
4543     }
4544   }
4545   /* Cleanup points */
4546   if (numPointsNew) {
4547     ierr = DMRestoreWorkArray(dm, 2*numPointsNew, PETSC_INT, &pointsNew);CHKERRQ(ierr);
4548   } else {
4549     if (!clPoints) {ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);}
4550     else           {ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);}
4551   }
4552   if (numIndices) *numIndices = Nind;
4553   PetscFunctionReturn(0);
4554 }
4555 
4556 #undef __FUNCT__
4557 #define __FUNCT__ "DMPlexRestoreClosureIndices"
4558 PetscErrorCode DMPlexRestoreClosureIndices(DM dm, PetscSection section, PetscSection globalSection, PetscInt point, PetscInt *numIndices, PetscInt **indices)
4559 {
4560   PetscErrorCode ierr;
4561 
4562   PetscFunctionBegin;
4563   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
4564   PetscValidPointer(indices, 5);
4565   ierr = DMRestoreWorkArray(dm, 0, PETSC_INT, indices);CHKERRQ(ierr);
4566   PetscFunctionReturn(0);
4567 }
4568 
4569 #undef __FUNCT__
4570 #define __FUNCT__ "DMPlexMatSetClosure"
4571 /*@C
4572   DMPlexMatSetClosure - Set an array of the values on the closure of 'point'
4573 
4574   Not collective
4575 
4576   Input Parameters:
4577 + dm - The DM
4578 . section - The section describing the layout in v, or NULL to use the default section
4579 . globalSection - The section describing the layout in v, or NULL to use the default global section
4580 . A - The matrix
4581 . point - The sieve point in the DM
4582 . values - The array of values
4583 - mode - The insert mode, where INSERT_ALL_VALUES and ADD_ALL_VALUES also overwrite boundary conditions
4584 
4585   Fortran Notes:
4586   This routine is only available in Fortran 90, and you must include petsc.h90 in your code.
4587 
4588   Level: intermediate
4589 
4590 .seealso DMPlexVecGetClosure(), DMPlexVecSetClosure()
4591 @*/
4592 PetscErrorCode DMPlexMatSetClosure(DM dm, PetscSection section, PetscSection globalSection, Mat A, PetscInt point, const PetscScalar values[], InsertMode mode)
4593 {
4594   DM_Plex        *mesh   = (DM_Plex*) dm->data;
4595   PetscSection    clSection;
4596   IS              clPoints;
4597   PetscInt       *points = NULL, *newPoints;
4598   const PetscInt *clp;
4599   PetscInt       *indices;
4600   PetscInt        offsets[32];
4601   PetscInt        numFields, numPoints, newNumPoints, numIndices, newNumIndices, dof, off, globalOff, pStart, pEnd, p, q, f;
4602   PetscScalar    *newValues;
4603   PetscErrorCode  ierr;
4604 
4605   PetscFunctionBegin;
4606   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
4607   if (!section) {ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);}
4608   PetscValidHeaderSpecific(section, PETSC_SECTION_CLASSID, 2);
4609   if (!globalSection) {ierr = DMGetDefaultGlobalSection(dm, &globalSection);CHKERRQ(ierr);}
4610   PetscValidHeaderSpecific(globalSection, PETSC_SECTION_CLASSID, 3);
4611   PetscValidHeaderSpecific(A, MAT_CLASSID, 4);
4612   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
4613   if (numFields > 31) SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Number of fields %D limited to 31", numFields);
4614   ierr = PetscMemzero(offsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
4615   ierr = PetscSectionGetClosureIndex(section, (PetscObject) dm, &clSection, &clPoints);CHKERRQ(ierr);
4616   if (!clPoints) {
4617     ierr = DMPlexGetTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
4618     /* Compress out points not in the section */
4619     ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
4620     for (p = 0, q = 0; p < numPoints*2; p += 2) {
4621       if ((points[p] >= pStart) && (points[p] < pEnd)) {
4622         points[q*2]   = points[p];
4623         points[q*2+1] = points[p+1];
4624         ++q;
4625       }
4626     }
4627     numPoints = q;
4628   } else {
4629     PetscInt dof, off;
4630 
4631     ierr = PetscSectionGetDof(clSection, point, &dof);CHKERRQ(ierr);
4632     numPoints = dof/2;
4633     ierr = PetscSectionGetOffset(clSection, point, &off);CHKERRQ(ierr);
4634     ierr = ISGetIndices(clPoints, &clp);CHKERRQ(ierr);
4635     points = (PetscInt *) &clp[off];
4636   }
4637   for (p = 0, numIndices = 0; p < numPoints*2; p += 2) {
4638     PetscInt fdof;
4639 
4640     ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
4641     for (f = 0; f < numFields; ++f) {
4642       ierr          = PetscSectionGetFieldDof(section, points[p], f, &fdof);CHKERRQ(ierr);
4643       offsets[f+1] += fdof;
4644     }
4645     numIndices += dof;
4646   }
4647   for (f = 1; f < numFields; ++f) offsets[f+1] += offsets[f];
4648 
4649   if (numFields && offsets[numFields] != numIndices) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Invalid size for closure %d should be %d", offsets[numFields], numIndices);
4650   ierr = DMPlexAnchorsModifyMat(dm,section,numPoints,numIndices,points,values,&newNumPoints,&newNumIndices,&newPoints,&newValues,offsets);CHKERRQ(ierr);
4651   if (newNumPoints) {
4652     if (!clPoints) {
4653       ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
4654     } else {
4655       ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);
4656     }
4657     numPoints  = newNumPoints;
4658     numIndices = newNumIndices;
4659     points     = newPoints;
4660     values     = newValues;
4661   }
4662   ierr = DMGetWorkArray(dm, numIndices, PETSC_INT, &indices);CHKERRQ(ierr);
4663   if (numFields) {
4664     for (p = 0; p < numPoints*2; p += 2) {
4665       PetscInt o = points[p+1];
4666       ierr = PetscSectionGetOffset(globalSection, points[p], &globalOff);CHKERRQ(ierr);
4667       indicesPointFields_private(section, points[p], globalOff < 0 ? -(globalOff+1) : globalOff, offsets, PETSC_FALSE, o, indices);
4668     }
4669   } else {
4670     for (p = 0, off = 0; p < numPoints*2; p += 2) {
4671       PetscInt o = points[p+1];
4672       ierr = PetscSectionGetOffset(globalSection, points[p], &globalOff);CHKERRQ(ierr);
4673       indicesPoint_private(section, points[p], globalOff < 0 ? -(globalOff+1) : globalOff, &off, PETSC_FALSE, o, indices);
4674     }
4675   }
4676   if (mesh->printSetValues) {ierr = DMPlexPrintMatSetValues(PETSC_VIEWER_STDOUT_SELF, A, point, numIndices, indices, 0, NULL, values);CHKERRQ(ierr);}
4677   ierr = MatSetValues(A, numIndices, indices, numIndices, indices, values, mode);
4678   if (mesh->printFEM > 1) {
4679     PetscInt i;
4680     ierr = PetscPrintf(PETSC_COMM_SELF, "  Indices:");CHKERRQ(ierr);
4681     for (i = 0; i < numIndices; ++i) {ierr = PetscPrintf(PETSC_COMM_SELF, " %d", indices[i]);CHKERRQ(ierr);}
4682     ierr = PetscPrintf(PETSC_COMM_SELF, "\n");CHKERRQ(ierr);
4683   }
4684   if (ierr) {
4685     PetscMPIInt    rank;
4686     PetscErrorCode ierr2;
4687 
4688     ierr2 = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &rank);CHKERRQ(ierr2);
4689     ierr2 = (*PetscErrorPrintf)("[%d]ERROR in DMPlexMatSetClosure\n", rank);CHKERRQ(ierr2);
4690     ierr2 = DMPlexPrintMatSetValues(PETSC_VIEWER_STDERR_SELF, A, point, numIndices, indices, 0, NULL, values);CHKERRQ(ierr2);
4691     ierr2 = DMRestoreWorkArray(dm, numIndices, PETSC_INT, &indices);CHKERRQ(ierr2);
4692     CHKERRQ(ierr);
4693   }
4694   if (newNumPoints) {
4695     ierr = DMRestoreWorkArray(dm,newNumIndices*newNumIndices,PETSC_SCALAR,&newValues);CHKERRQ(ierr);
4696     ierr = DMRestoreWorkArray(dm,2*newNumPoints,PETSC_INT,&newPoints);CHKERRQ(ierr);
4697   }
4698   else {
4699     if (!clPoints) {
4700       ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
4701     } else {
4702       ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);
4703     }
4704   }
4705   ierr = DMRestoreWorkArray(dm, numIndices, PETSC_INT, &indices);CHKERRQ(ierr);
4706   PetscFunctionReturn(0);
4707 }
4708 
4709 #undef __FUNCT__
4710 #define __FUNCT__ "DMPlexMatSetClosureRefined"
4711 PetscErrorCode DMPlexMatSetClosureRefined(DM dmf, PetscSection fsection, PetscSection globalFSection, DM dmc, PetscSection csection, PetscSection globalCSection, Mat A, PetscInt point, const PetscScalar values[], InsertMode mode)
4712 {
4713   DM_Plex        *mesh   = (DM_Plex*) dmf->data;
4714   PetscInt       *fpoints = NULL, *ftotpoints = NULL;
4715   PetscInt       *cpoints = NULL;
4716   PetscInt       *findices, *cindices;
4717   PetscInt        foffsets[32], coffsets[32];
4718   CellRefiner     cellRefiner;
4719   PetscInt        numFields, numSubcells, maxFPoints, numFPoints, numCPoints, numFIndices, numCIndices, dof, off, globalOff, pStart, pEnd, p, q, r, s, f;
4720   PetscErrorCode  ierr;
4721 
4722   PetscFunctionBegin;
4723   PetscValidHeaderSpecific(dmf, DM_CLASSID, 1);
4724   PetscValidHeaderSpecific(dmc, DM_CLASSID, 4);
4725   if (!fsection) {ierr = DMGetDefaultSection(dmf, &fsection);CHKERRQ(ierr);}
4726   PetscValidHeaderSpecific(fsection, PETSC_SECTION_CLASSID, 2);
4727   if (!csection) {ierr = DMGetDefaultSection(dmc, &csection);CHKERRQ(ierr);}
4728   PetscValidHeaderSpecific(csection, PETSC_SECTION_CLASSID, 5);
4729   if (!globalFSection) {ierr = DMGetDefaultGlobalSection(dmf, &globalFSection);CHKERRQ(ierr);}
4730   PetscValidHeaderSpecific(globalFSection, PETSC_SECTION_CLASSID, 3);
4731   if (!globalCSection) {ierr = DMGetDefaultGlobalSection(dmc, &globalCSection);CHKERRQ(ierr);}
4732   PetscValidHeaderSpecific(globalCSection, PETSC_SECTION_CLASSID, 6);
4733   PetscValidHeaderSpecific(A, MAT_CLASSID, 7);
4734   ierr = PetscSectionGetNumFields(fsection, &numFields);CHKERRQ(ierr);
4735   if (numFields > 31) SETERRQ1(PetscObjectComm((PetscObject)dmf), PETSC_ERR_ARG_OUTOFRANGE, "Number of fields %D limited to 31", numFields);
4736   ierr = PetscMemzero(foffsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
4737   ierr = PetscMemzero(coffsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
4738   /* Column indices */
4739   ierr = DMPlexGetTransitiveClosure(dmc, point, PETSC_TRUE, &numCPoints, &cpoints);CHKERRQ(ierr);
4740   maxFPoints = numCPoints;
4741   /* Compress out points not in the section */
4742   /*   TODO: Squeeze out points with 0 dof as well */
4743   ierr = PetscSectionGetChart(csection, &pStart, &pEnd);CHKERRQ(ierr);
4744   for (p = 0, q = 0; p < numCPoints*2; p += 2) {
4745     if ((cpoints[p] >= pStart) && (cpoints[p] < pEnd)) {
4746       cpoints[q*2]   = cpoints[p];
4747       cpoints[q*2+1] = cpoints[p+1];
4748       ++q;
4749     }
4750   }
4751   numCPoints = q;
4752   for (p = 0, numCIndices = 0; p < numCPoints*2; p += 2) {
4753     PetscInt fdof;
4754 
4755     ierr = PetscSectionGetDof(csection, cpoints[p], &dof);CHKERRQ(ierr);
4756     if (!dof) continue;
4757     for (f = 0; f < numFields; ++f) {
4758       ierr           = PetscSectionGetFieldDof(csection, cpoints[p], f, &fdof);CHKERRQ(ierr);
4759       coffsets[f+1] += fdof;
4760     }
4761     numCIndices += dof;
4762   }
4763   for (f = 1; f < numFields; ++f) coffsets[f+1] += coffsets[f];
4764   /* Row indices */
4765   ierr = DMPlexGetCellRefiner_Internal(dmc, &cellRefiner);CHKERRQ(ierr);
4766   ierr = CellRefinerGetAffineTransforms_Internal(cellRefiner, &numSubcells, NULL, NULL, NULL);CHKERRQ(ierr);
4767   ierr = DMGetWorkArray(dmf, maxFPoints*2*numSubcells, PETSC_INT, &ftotpoints);CHKERRQ(ierr);
4768   for (r = 0, q = 0; r < numSubcells; ++r) {
4769     /* TODO Map from coarse to fine cells */
4770     ierr = DMPlexGetTransitiveClosure(dmf, point*numSubcells + r, PETSC_TRUE, &numFPoints, &fpoints);CHKERRQ(ierr);
4771     /* Compress out points not in the section */
4772     ierr = PetscSectionGetChart(fsection, &pStart, &pEnd);CHKERRQ(ierr);
4773     for (p = 0; p < numFPoints*2; p += 2) {
4774       if ((fpoints[p] >= pStart) && (fpoints[p] < pEnd)) {
4775         ierr = PetscSectionGetDof(fsection, fpoints[p], &dof);CHKERRQ(ierr);
4776         if (!dof) continue;
4777         for (s = 0; s < q; ++s) if (fpoints[p] == ftotpoints[s*2]) break;
4778         if (s < q) continue;
4779         ftotpoints[q*2]   = fpoints[p];
4780         ftotpoints[q*2+1] = fpoints[p+1];
4781         ++q;
4782       }
4783     }
4784     ierr = DMPlexRestoreTransitiveClosure(dmf, point, PETSC_TRUE, &numFPoints, &fpoints);CHKERRQ(ierr);
4785   }
4786   numFPoints = q;
4787   for (p = 0, numFIndices = 0; p < numFPoints*2; p += 2) {
4788     PetscInt fdof;
4789 
4790     ierr = PetscSectionGetDof(fsection, ftotpoints[p], &dof);CHKERRQ(ierr);
4791     if (!dof) continue;
4792     for (f = 0; f < numFields; ++f) {
4793       ierr           = PetscSectionGetFieldDof(fsection, ftotpoints[p], f, &fdof);CHKERRQ(ierr);
4794       foffsets[f+1] += fdof;
4795     }
4796     numFIndices += dof;
4797   }
4798   for (f = 1; f < numFields; ++f) foffsets[f+1] += foffsets[f];
4799 
4800   if (numFields && foffsets[numFields] != numFIndices) SETERRQ2(PetscObjectComm((PetscObject)dmf), PETSC_ERR_PLIB, "Invalid size for closure %d should be %d", foffsets[numFields], numFIndices);
4801   if (numFields && coffsets[numFields] != numCIndices) SETERRQ2(PetscObjectComm((PetscObject)dmc), PETSC_ERR_PLIB, "Invalid size for closure %d should be %d", coffsets[numFields], numCIndices);
4802   ierr = DMGetWorkArray(dmf, numFIndices, PETSC_INT, &findices);CHKERRQ(ierr);
4803   ierr = DMGetWorkArray(dmc, numCIndices, PETSC_INT, &cindices);CHKERRQ(ierr);
4804   if (numFields) {
4805     for (p = 0; p < numFPoints*2; p += 2) {
4806       PetscInt o = ftotpoints[p+1];
4807       ierr = PetscSectionGetOffset(globalFSection, ftotpoints[p], &globalOff);CHKERRQ(ierr);
4808       indicesPointFields_private(fsection, ftotpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, foffsets, PETSC_FALSE, o, findices);
4809     }
4810     for (p = 0; p < numCPoints*2; p += 2) {
4811       PetscInt o = cpoints[p+1];
4812       ierr = PetscSectionGetOffset(globalCSection, cpoints[p], &globalOff);CHKERRQ(ierr);
4813       indicesPointFields_private(csection, cpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, coffsets, PETSC_FALSE, o, cindices);
4814     }
4815   } else {
4816     for (p = 0, off = 0; p < numFPoints*2; p += 2) {
4817       PetscInt o = ftotpoints[p+1];
4818       ierr = PetscSectionGetOffset(globalFSection, ftotpoints[p], &globalOff);CHKERRQ(ierr);
4819       indicesPoint_private(fsection, ftotpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, &off, PETSC_FALSE, o, findices);
4820     }
4821     for (p = 0, off = 0; p < numCPoints*2; p += 2) {
4822       PetscInt o = cpoints[p+1];
4823       ierr = PetscSectionGetOffset(globalCSection, cpoints[p], &globalOff);CHKERRQ(ierr);
4824       indicesPoint_private(csection, cpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, &off, PETSC_FALSE, o, cindices);
4825     }
4826   }
4827   if (mesh->printSetValues) {ierr = DMPlexPrintMatSetValues(PETSC_VIEWER_STDOUT_SELF, A, point, numFIndices, findices, numCIndices, cindices, values);CHKERRQ(ierr);}
4828   ierr = MatSetValues(A, numFIndices, findices, numCIndices, cindices, values, mode);
4829   if (ierr) {
4830     PetscMPIInt    rank;
4831     PetscErrorCode ierr2;
4832 
4833     ierr2 = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &rank);CHKERRQ(ierr2);
4834     ierr2 = (*PetscErrorPrintf)("[%d]ERROR in DMPlexMatSetClosure\n", rank);CHKERRQ(ierr2);
4835     ierr2 = DMPlexPrintMatSetValues(PETSC_VIEWER_STDERR_SELF, A, point, numFIndices, findices, numCIndices, cindices, values);CHKERRQ(ierr2);
4836     ierr2 = DMRestoreWorkArray(dmf, numFIndices, PETSC_INT, &findices);CHKERRQ(ierr2);
4837     ierr2 = DMRestoreWorkArray(dmc, numCIndices, PETSC_INT, &cindices);CHKERRQ(ierr2);
4838     CHKERRQ(ierr);
4839   }
4840   ierr = DMRestoreWorkArray(dmf, numCPoints*2*4, PETSC_INT, &ftotpoints);CHKERRQ(ierr);
4841   ierr = DMPlexRestoreTransitiveClosure(dmc, point, PETSC_TRUE, &numCPoints, &cpoints);CHKERRQ(ierr);
4842   ierr = DMRestoreWorkArray(dmf, numFIndices, PETSC_INT, &findices);CHKERRQ(ierr);
4843   ierr = DMRestoreWorkArray(dmc, numCIndices, PETSC_INT, &cindices);CHKERRQ(ierr);
4844   PetscFunctionReturn(0);
4845 }
4846 
4847 #undef __FUNCT__
4848 #define __FUNCT__ "DMPlexMatGetClosureIndicesRefined"
4849 PetscErrorCode DMPlexMatGetClosureIndicesRefined(DM dmf, PetscSection fsection, PetscSection globalFSection, DM dmc, PetscSection csection, PetscSection globalCSection, PetscInt point, PetscInt cindices[], PetscInt findices[])
4850 {
4851   PetscInt      *fpoints = NULL, *ftotpoints = NULL;
4852   PetscInt      *cpoints = NULL;
4853   PetscInt       foffsets[32], coffsets[32];
4854   CellRefiner    cellRefiner;
4855   PetscInt       numFields, numSubcells, maxFPoints, numFPoints, numCPoints, numFIndices, numCIndices, dof, off, globalOff, pStart, pEnd, p, q, r, s, f;
4856   PetscErrorCode ierr;
4857 
4858   PetscFunctionBegin;
4859   PetscValidHeaderSpecific(dmf, DM_CLASSID, 1);
4860   PetscValidHeaderSpecific(dmc, DM_CLASSID, 4);
4861   if (!fsection) {ierr = DMGetDefaultSection(dmf, &fsection);CHKERRQ(ierr);}
4862   PetscValidHeaderSpecific(fsection, PETSC_SECTION_CLASSID, 2);
4863   if (!csection) {ierr = DMGetDefaultSection(dmc, &csection);CHKERRQ(ierr);}
4864   PetscValidHeaderSpecific(csection, PETSC_SECTION_CLASSID, 5);
4865   if (!globalFSection) {ierr = DMGetDefaultGlobalSection(dmf, &globalFSection);CHKERRQ(ierr);}
4866   PetscValidHeaderSpecific(globalFSection, PETSC_SECTION_CLASSID, 3);
4867   if (!globalCSection) {ierr = DMGetDefaultGlobalSection(dmc, &globalCSection);CHKERRQ(ierr);}
4868   PetscValidHeaderSpecific(globalCSection, PETSC_SECTION_CLASSID, 6);
4869   ierr = PetscSectionGetNumFields(fsection, &numFields);CHKERRQ(ierr);
4870   if (numFields > 31) SETERRQ1(PetscObjectComm((PetscObject)dmf), PETSC_ERR_ARG_OUTOFRANGE, "Number of fields %D limited to 31", numFields);
4871   ierr = PetscMemzero(foffsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
4872   ierr = PetscMemzero(coffsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
4873   /* Column indices */
4874   ierr = DMPlexGetTransitiveClosure(dmc, point, PETSC_TRUE, &numCPoints, &cpoints);CHKERRQ(ierr);
4875   maxFPoints = numCPoints;
4876   /* Compress out points not in the section */
4877   /*   TODO: Squeeze out points with 0 dof as well */
4878   ierr = PetscSectionGetChart(csection, &pStart, &pEnd);CHKERRQ(ierr);
4879   for (p = 0, q = 0; p < numCPoints*2; p += 2) {
4880     if ((cpoints[p] >= pStart) && (cpoints[p] < pEnd)) {
4881       cpoints[q*2]   = cpoints[p];
4882       cpoints[q*2+1] = cpoints[p+1];
4883       ++q;
4884     }
4885   }
4886   numCPoints = q;
4887   for (p = 0, numCIndices = 0; p < numCPoints*2; p += 2) {
4888     PetscInt fdof;
4889 
4890     ierr = PetscSectionGetDof(csection, cpoints[p], &dof);CHKERRQ(ierr);
4891     if (!dof) continue;
4892     for (f = 0; f < numFields; ++f) {
4893       ierr           = PetscSectionGetFieldDof(csection, cpoints[p], f, &fdof);CHKERRQ(ierr);
4894       coffsets[f+1] += fdof;
4895     }
4896     numCIndices += dof;
4897   }
4898   for (f = 1; f < numFields; ++f) coffsets[f+1] += coffsets[f];
4899   /* Row indices */
4900   ierr = DMPlexGetCellRefiner_Internal(dmc, &cellRefiner);CHKERRQ(ierr);
4901   ierr = CellRefinerGetAffineTransforms_Internal(cellRefiner, &numSubcells, NULL, NULL, NULL);CHKERRQ(ierr);
4902   ierr = DMGetWorkArray(dmf, maxFPoints*2*numSubcells, PETSC_INT, &ftotpoints);CHKERRQ(ierr);
4903   for (r = 0, q = 0; r < numSubcells; ++r) {
4904     /* TODO Map from coarse to fine cells */
4905     ierr = DMPlexGetTransitiveClosure(dmf, point*numSubcells + r, PETSC_TRUE, &numFPoints, &fpoints);CHKERRQ(ierr);
4906     /* Compress out points not in the section */
4907     ierr = PetscSectionGetChart(fsection, &pStart, &pEnd);CHKERRQ(ierr);
4908     for (p = 0; p < numFPoints*2; p += 2) {
4909       if ((fpoints[p] >= pStart) && (fpoints[p] < pEnd)) {
4910         ierr = PetscSectionGetDof(fsection, fpoints[p], &dof);CHKERRQ(ierr);
4911         if (!dof) continue;
4912         for (s = 0; s < q; ++s) if (fpoints[p] == ftotpoints[s*2]) break;
4913         if (s < q) continue;
4914         ftotpoints[q*2]   = fpoints[p];
4915         ftotpoints[q*2+1] = fpoints[p+1];
4916         ++q;
4917       }
4918     }
4919     ierr = DMPlexRestoreTransitiveClosure(dmf, point, PETSC_TRUE, &numFPoints, &fpoints);CHKERRQ(ierr);
4920   }
4921   numFPoints = q;
4922   for (p = 0, numFIndices = 0; p < numFPoints*2; p += 2) {
4923     PetscInt fdof;
4924 
4925     ierr = PetscSectionGetDof(fsection, ftotpoints[p], &dof);CHKERRQ(ierr);
4926     if (!dof) continue;
4927     for (f = 0; f < numFields; ++f) {
4928       ierr           = PetscSectionGetFieldDof(fsection, ftotpoints[p], f, &fdof);CHKERRQ(ierr);
4929       foffsets[f+1] += fdof;
4930     }
4931     numFIndices += dof;
4932   }
4933   for (f = 1; f < numFields; ++f) foffsets[f+1] += foffsets[f];
4934 
4935   if (numFields && foffsets[numFields] != numFIndices) SETERRQ2(PetscObjectComm((PetscObject)dmf), PETSC_ERR_PLIB, "Invalid size for closure %d should be %d", foffsets[numFields], numFIndices);
4936   if (numFields && coffsets[numFields] != numCIndices) SETERRQ2(PetscObjectComm((PetscObject)dmc), PETSC_ERR_PLIB, "Invalid size for closure %d should be %d", coffsets[numFields], numCIndices);
4937   if (numFields) {
4938     for (p = 0; p < numFPoints*2; p += 2) {
4939       PetscInt o = ftotpoints[p+1];
4940       ierr = PetscSectionGetOffset(globalFSection, ftotpoints[p], &globalOff);CHKERRQ(ierr);
4941       indicesPointFields_private(fsection, ftotpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, foffsets, PETSC_FALSE, o, findices);
4942     }
4943     for (p = 0; p < numCPoints*2; p += 2) {
4944       PetscInt o = cpoints[p+1];
4945       ierr = PetscSectionGetOffset(globalCSection, cpoints[p], &globalOff);CHKERRQ(ierr);
4946       indicesPointFields_private(csection, cpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, coffsets, PETSC_FALSE, o, cindices);
4947     }
4948   } else {
4949     for (p = 0, off = 0; p < numFPoints*2; p += 2) {
4950       PetscInt o = ftotpoints[p+1];
4951       ierr = PetscSectionGetOffset(globalFSection, ftotpoints[p], &globalOff);CHKERRQ(ierr);
4952       indicesPoint_private(fsection, ftotpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, &off, PETSC_FALSE, o, findices);
4953     }
4954     for (p = 0, off = 0; p < numCPoints*2; p += 2) {
4955       PetscInt o = cpoints[p+1];
4956       ierr = PetscSectionGetOffset(globalCSection, cpoints[p], &globalOff);CHKERRQ(ierr);
4957       indicesPoint_private(csection, cpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, &off, PETSC_FALSE, o, cindices);
4958     }
4959   }
4960   ierr = DMRestoreWorkArray(dmf, numCPoints*2*4, PETSC_INT, &ftotpoints);CHKERRQ(ierr);
4961   ierr = DMPlexRestoreTransitiveClosure(dmc, point, PETSC_TRUE, &numCPoints, &cpoints);CHKERRQ(ierr);
4962   PetscFunctionReturn(0);
4963 }
4964 
4965 #undef __FUNCT__
4966 #define __FUNCT__ "DMPlexGetHybridBounds"
4967 /*@
4968   DMPlexGetHybridBounds - Get the first mesh point of each dimension which is a hybrid
4969 
4970   Input Parameter:
4971 . dm - The DMPlex object
4972 
4973   Output Parameters:
4974 + cMax - The first hybrid cell
4975 . fMax - The first hybrid face
4976 . eMax - The first hybrid edge
4977 - vMax - The first hybrid vertex
4978 
4979   Level: developer
4980 
4981 .seealso DMPlexCreateHybridMesh(), DMPlexSetHybridBounds()
4982 @*/
4983 PetscErrorCode DMPlexGetHybridBounds(DM dm, PetscInt *cMax, PetscInt *fMax, PetscInt *eMax, PetscInt *vMax)
4984 {
4985   DM_Plex       *mesh = (DM_Plex*) dm->data;
4986   PetscInt       dim;
4987   PetscErrorCode ierr;
4988 
4989   PetscFunctionBegin;
4990   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
4991   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
4992   if (cMax) *cMax = mesh->hybridPointMax[dim];
4993   if (fMax) *fMax = mesh->hybridPointMax[dim-1];
4994   if (eMax) *eMax = mesh->hybridPointMax[1];
4995   if (vMax) *vMax = mesh->hybridPointMax[0];
4996   PetscFunctionReturn(0);
4997 }
4998 
4999 #undef __FUNCT__
5000 #define __FUNCT__ "DMPlexSetHybridBounds"
5001 /*@
5002   DMPlexSetHybridBounds - Set the first mesh point of each dimension which is a hybrid
5003 
5004   Input Parameters:
5005 . dm   - The DMPlex object
5006 . cMax - The first hybrid cell
5007 . fMax - The first hybrid face
5008 . eMax - The first hybrid edge
5009 - vMax - The first hybrid vertex
5010 
5011   Level: developer
5012 
5013 .seealso DMPlexCreateHybridMesh(), DMPlexGetHybridBounds()
5014 @*/
5015 PetscErrorCode DMPlexSetHybridBounds(DM dm, PetscInt cMax, PetscInt fMax, PetscInt eMax, PetscInt vMax)
5016 {
5017   DM_Plex       *mesh = (DM_Plex*) dm->data;
5018   PetscInt       dim;
5019   PetscErrorCode ierr;
5020 
5021   PetscFunctionBegin;
5022   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5023   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
5024   if (cMax >= 0) mesh->hybridPointMax[dim]   = cMax;
5025   if (fMax >= 0) mesh->hybridPointMax[dim-1] = fMax;
5026   if (eMax >= 0) mesh->hybridPointMax[1]     = eMax;
5027   if (vMax >= 0) mesh->hybridPointMax[0]     = vMax;
5028   PetscFunctionReturn(0);
5029 }
5030 
5031 #undef __FUNCT__
5032 #define __FUNCT__ "DMPlexGetVTKCellHeight"
5033 PetscErrorCode DMPlexGetVTKCellHeight(DM dm, PetscInt *cellHeight)
5034 {
5035   DM_Plex *mesh = (DM_Plex*) dm->data;
5036 
5037   PetscFunctionBegin;
5038   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5039   PetscValidPointer(cellHeight, 2);
5040   *cellHeight = mesh->vtkCellHeight;
5041   PetscFunctionReturn(0);
5042 }
5043 
5044 #undef __FUNCT__
5045 #define __FUNCT__ "DMPlexSetVTKCellHeight"
5046 PetscErrorCode DMPlexSetVTKCellHeight(DM dm, PetscInt cellHeight)
5047 {
5048   DM_Plex *mesh = (DM_Plex*) dm->data;
5049 
5050   PetscFunctionBegin;
5051   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5052   mesh->vtkCellHeight = cellHeight;
5053   PetscFunctionReturn(0);
5054 }
5055 
5056 #undef __FUNCT__
5057 #define __FUNCT__ "DMPlexCreateNumbering_Private"
5058 /* We can easily have a form that takes an IS instead */
5059 static PetscErrorCode DMPlexCreateNumbering_Private(DM dm, PetscInt pStart, PetscInt pEnd, PetscInt shift, PetscInt *globalSize, PetscSF sf, IS *numbering)
5060 {
5061   PetscSection   section, globalSection;
5062   PetscInt      *numbers, p;
5063   PetscErrorCode ierr;
5064 
5065   PetscFunctionBegin;
5066   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &section);CHKERRQ(ierr);
5067   ierr = PetscSectionSetChart(section, pStart, pEnd);CHKERRQ(ierr);
5068   for (p = pStart; p < pEnd; ++p) {
5069     ierr = PetscSectionSetDof(section, p, 1);CHKERRQ(ierr);
5070   }
5071   ierr = PetscSectionSetUp(section);CHKERRQ(ierr);
5072   ierr = PetscSectionCreateGlobalSection(section, sf, PETSC_FALSE, PETSC_FALSE, &globalSection);CHKERRQ(ierr);
5073   ierr = PetscMalloc1(pEnd - pStart, &numbers);CHKERRQ(ierr);
5074   for (p = pStart; p < pEnd; ++p) {
5075     ierr = PetscSectionGetOffset(globalSection, p, &numbers[p-pStart]);CHKERRQ(ierr);
5076     if (numbers[p-pStart] < 0) numbers[p-pStart] -= shift;
5077     else                       numbers[p-pStart] += shift;
5078   }
5079   ierr = ISCreateGeneral(PetscObjectComm((PetscObject) dm), pEnd - pStart, numbers, PETSC_OWN_POINTER, numbering);CHKERRQ(ierr);
5080   if (globalSize) {
5081     PetscLayout layout;
5082     ierr = PetscSectionGetPointLayout(PetscObjectComm((PetscObject) dm), globalSection, &layout);CHKERRQ(ierr);
5083     ierr = PetscLayoutGetSize(layout, globalSize);CHKERRQ(ierr);
5084     ierr = PetscLayoutDestroy(&layout);CHKERRQ(ierr);
5085   }
5086   ierr = PetscSectionDestroy(&section);CHKERRQ(ierr);
5087   ierr = PetscSectionDestroy(&globalSection);CHKERRQ(ierr);
5088   PetscFunctionReturn(0);
5089 }
5090 
5091 #undef __FUNCT__
5092 #define __FUNCT__ "DMPlexGetCellNumbering"
5093 PetscErrorCode DMPlexGetCellNumbering(DM dm, IS *globalCellNumbers)
5094 {
5095   DM_Plex       *mesh = (DM_Plex*) dm->data;
5096   PetscInt       cellHeight, cStart, cEnd, cMax;
5097   PetscErrorCode ierr;
5098 
5099   PetscFunctionBegin;
5100   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5101   if (!mesh->globalCellNumbers) {
5102     ierr = DMPlexGetVTKCellHeight(dm, &cellHeight);CHKERRQ(ierr);
5103     ierr = DMPlexGetHeightStratum(dm, cellHeight, &cStart, &cEnd);CHKERRQ(ierr);
5104     ierr = DMPlexGetHybridBounds(dm, &cMax, NULL, NULL, NULL);CHKERRQ(ierr);
5105     if (cMax >= 0) cEnd = PetscMin(cEnd, cMax);
5106     ierr = DMPlexCreateNumbering_Private(dm, cStart, cEnd, 0, NULL, dm->sf, &mesh->globalCellNumbers);CHKERRQ(ierr);
5107   }
5108   *globalCellNumbers = mesh->globalCellNumbers;
5109   PetscFunctionReturn(0);
5110 }
5111 
5112 #undef __FUNCT__
5113 #define __FUNCT__ "DMPlexGetVertexNumbering"
5114 PetscErrorCode DMPlexGetVertexNumbering(DM dm, IS *globalVertexNumbers)
5115 {
5116   DM_Plex       *mesh = (DM_Plex*) dm->data;
5117   PetscInt       vStart, vEnd, vMax;
5118   PetscErrorCode ierr;
5119 
5120   PetscFunctionBegin;
5121   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5122   if (!mesh->globalVertexNumbers) {
5123     ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
5124     ierr = DMPlexGetHybridBounds(dm, NULL, NULL, NULL, &vMax);CHKERRQ(ierr);
5125     if (vMax >= 0) vEnd = PetscMin(vEnd, vMax);
5126     ierr = DMPlexCreateNumbering_Private(dm, vStart, vEnd, 0, NULL, dm->sf, &mesh->globalVertexNumbers);CHKERRQ(ierr);
5127   }
5128   *globalVertexNumbers = mesh->globalVertexNumbers;
5129   PetscFunctionReturn(0);
5130 }
5131 
5132 #undef __FUNCT__
5133 #define __FUNCT__ "DMPlexCreatePointNumbering"
5134 PetscErrorCode DMPlexCreatePointNumbering(DM dm, IS *globalPointNumbers)
5135 {
5136   IS             nums[4];
5137   PetscInt       depths[4];
5138   PetscInt       depth, d, shift = 0;
5139   PetscErrorCode ierr;
5140 
5141   PetscFunctionBegin;
5142   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5143   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
5144   /* For unstratified meshes use dim instead of depth */
5145   if (depth < 0) {ierr = DMGetDimension(dm, &depth);CHKERRQ(ierr);}
5146   depths[0] = depth; depths[1] = 0;
5147   for (d = 2; d <= depth; ++d) depths[d] = depth-d+1;
5148   for (d = 0; d <= depth; ++d) {
5149     PetscInt pStart, pEnd, gsize;
5150 
5151     ierr = DMPlexGetDepthStratum(dm, depths[d], &pStart, &pEnd);CHKERRQ(ierr);
5152     ierr = DMPlexCreateNumbering_Private(dm, pStart, pEnd, shift, &gsize, dm->sf, &nums[d]);CHKERRQ(ierr);
5153     shift += gsize;
5154   }
5155   ierr = ISConcatenate(PetscObjectComm((PetscObject) dm), depth+1, nums, globalPointNumbers);CHKERRQ(ierr);
5156   for (d = 0; d <= depth; ++d) {ierr = ISDestroy(&nums[d]);CHKERRQ(ierr);}
5157   PetscFunctionReturn(0);
5158 }
5159 
5160 #undef __FUNCT__
5161 #define __FUNCT__ "DMPlexCheckSymmetry"
5162 /*@
5163   DMPlexCheckSymmetry - Check that the adjacency information in the mesh is symmetric.
5164 
5165   Input Parameters:
5166   + dm - The DMPlex object
5167 
5168   Note: This is a useful diagnostic when creating meshes programmatically.
5169 
5170   Level: developer
5171 
5172 .seealso: DMCreate(), DMCheckSkeleton(), DMCheckFaces()
5173 @*/
5174 PetscErrorCode DMPlexCheckSymmetry(DM dm)
5175 {
5176   PetscSection    coneSection, supportSection;
5177   const PetscInt *cone, *support;
5178   PetscInt        coneSize, c, supportSize, s;
5179   PetscInt        pStart, pEnd, p, csize, ssize;
5180   PetscErrorCode  ierr;
5181 
5182   PetscFunctionBegin;
5183   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5184   ierr = DMPlexGetConeSection(dm, &coneSection);CHKERRQ(ierr);
5185   ierr = DMPlexGetSupportSection(dm, &supportSection);CHKERRQ(ierr);
5186   /* Check that point p is found in the support of its cone points, and vice versa */
5187   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
5188   for (p = pStart; p < pEnd; ++p) {
5189     ierr = DMPlexGetConeSize(dm, p, &coneSize);CHKERRQ(ierr);
5190     ierr = DMPlexGetCone(dm, p, &cone);CHKERRQ(ierr);
5191     for (c = 0; c < coneSize; ++c) {
5192       PetscBool dup = PETSC_FALSE;
5193       PetscInt  d;
5194       for (d = c-1; d >= 0; --d) {
5195         if (cone[c] == cone[d]) {dup = PETSC_TRUE; break;}
5196       }
5197       ierr = DMPlexGetSupportSize(dm, cone[c], &supportSize);CHKERRQ(ierr);
5198       ierr = DMPlexGetSupport(dm, cone[c], &support);CHKERRQ(ierr);
5199       for (s = 0; s < supportSize; ++s) {
5200         if (support[s] == p) break;
5201       }
5202       if ((s >= supportSize) || (dup && (support[s+1] != p))) {
5203         ierr = PetscPrintf(PETSC_COMM_SELF, "p: %d cone: ", p);CHKERRQ(ierr);
5204         for (s = 0; s < coneSize; ++s) {
5205           ierr = PetscPrintf(PETSC_COMM_SELF, "%d, ", cone[s]);CHKERRQ(ierr);
5206         }
5207         ierr = PetscPrintf(PETSC_COMM_SELF, "\n");CHKERRQ(ierr);
5208         ierr = PetscPrintf(PETSC_COMM_SELF, "p: %d support: ", cone[c]);CHKERRQ(ierr);
5209         for (s = 0; s < supportSize; ++s) {
5210           ierr = PetscPrintf(PETSC_COMM_SELF, "%d, ", support[s]);CHKERRQ(ierr);
5211         }
5212         ierr = PetscPrintf(PETSC_COMM_SELF, "\n");CHKERRQ(ierr);
5213         if (dup) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Point %d not repeatedly found in support of repeated cone point %d", p, cone[c]);
5214         else SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Point %d not found in support of cone point %d", p, cone[c]);
5215       }
5216     }
5217     ierr = DMPlexGetSupportSize(dm, p, &supportSize);CHKERRQ(ierr);
5218     ierr = DMPlexGetSupport(dm, p, &support);CHKERRQ(ierr);
5219     for (s = 0; s < supportSize; ++s) {
5220       ierr = DMPlexGetConeSize(dm, support[s], &coneSize);CHKERRQ(ierr);
5221       ierr = DMPlexGetCone(dm, support[s], &cone);CHKERRQ(ierr);
5222       for (c = 0; c < coneSize; ++c) {
5223         if (cone[c] == p) break;
5224       }
5225       if (c >= coneSize) {
5226         ierr = PetscPrintf(PETSC_COMM_SELF, "p: %d support: ", p);CHKERRQ(ierr);
5227         for (c = 0; c < supportSize; ++c) {
5228           ierr = PetscPrintf(PETSC_COMM_SELF, "%d, ", support[c]);CHKERRQ(ierr);
5229         }
5230         ierr = PetscPrintf(PETSC_COMM_SELF, "\n");CHKERRQ(ierr);
5231         ierr = PetscPrintf(PETSC_COMM_SELF, "p: %d cone: ", support[s]);CHKERRQ(ierr);
5232         for (c = 0; c < coneSize; ++c) {
5233           ierr = PetscPrintf(PETSC_COMM_SELF, "%d, ", cone[c]);CHKERRQ(ierr);
5234         }
5235         ierr = PetscPrintf(PETSC_COMM_SELF, "\n");CHKERRQ(ierr);
5236         SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Point %d not found in cone of support point %d", p, support[s]);
5237       }
5238     }
5239   }
5240   ierr = PetscSectionGetStorageSize(coneSection, &csize);CHKERRQ(ierr);
5241   ierr = PetscSectionGetStorageSize(supportSection, &ssize);CHKERRQ(ierr);
5242   if (csize != ssize) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Total cone size %d != Total support size %d", csize, ssize);
5243   PetscFunctionReturn(0);
5244 }
5245 
5246 #undef __FUNCT__
5247 #define __FUNCT__ "DMPlexCheckSkeleton"
5248 /*@
5249   DMPlexCheckSkeleton - Check that each cell has the correct number of vertices
5250 
5251   Input Parameters:
5252 + dm - The DMPlex object
5253 . isSimplex - Are the cells simplices or tensor products
5254 - cellHeight - Normally 0
5255 
5256   Note: This is a useful diagnostic when creating meshes programmatically.
5257 
5258   Level: developer
5259 
5260 .seealso: DMCreate(), DMCheckSymmetry(), DMCheckFaces()
5261 @*/
5262 PetscErrorCode DMPlexCheckSkeleton(DM dm, PetscBool isSimplex, PetscInt cellHeight)
5263 {
5264   PetscInt       dim, numCorners, numHybridCorners, vStart, vEnd, cStart, cEnd, cMax, c;
5265   PetscErrorCode ierr;
5266 
5267   PetscFunctionBegin;
5268   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5269   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
5270   switch (dim) {
5271   case 1: numCorners = isSimplex ? 2 : 2; numHybridCorners = isSimplex ? 2 : 2; break;
5272   case 2: numCorners = isSimplex ? 3 : 4; numHybridCorners = isSimplex ? 4 : 4; break;
5273   case 3: numCorners = isSimplex ? 4 : 8; numHybridCorners = isSimplex ? 6 : 8; break;
5274   default:
5275     SETERRQ1(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_OUTOFRANGE, "Cannot handle meshes of dimension %d", dim);
5276   }
5277   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
5278   ierr = DMPlexGetHeightStratum(dm, cellHeight, &cStart, &cEnd);CHKERRQ(ierr);
5279   ierr = DMPlexGetHybridBounds(dm, &cMax, NULL, NULL, NULL);CHKERRQ(ierr);
5280   cMax = cMax >= 0 ? cMax : cEnd;
5281   for (c = cStart; c < cMax; ++c) {
5282     PetscInt *closure = NULL, closureSize, cl, coneSize = 0;
5283 
5284     ierr = DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
5285     for (cl = 0; cl < closureSize*2; cl += 2) {
5286       const PetscInt p = closure[cl];
5287       if ((p >= vStart) && (p < vEnd)) ++coneSize;
5288     }
5289     ierr = DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
5290     if (coneSize != numCorners) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell %d has  %d vertices != %d", c, coneSize, numCorners);
5291   }
5292   for (c = cMax; c < cEnd; ++c) {
5293     PetscInt *closure = NULL, closureSize, cl, coneSize = 0;
5294 
5295     ierr = DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
5296     for (cl = 0; cl < closureSize*2; cl += 2) {
5297       const PetscInt p = closure[cl];
5298       if ((p >= vStart) && (p < vEnd)) ++coneSize;
5299     }
5300     ierr = DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
5301     if (coneSize > numHybridCorners) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Hybrid cell %d has  %d vertices > %d", c, coneSize, numHybridCorners);
5302   }
5303   PetscFunctionReturn(0);
5304 }
5305 
5306 #undef __FUNCT__
5307 #define __FUNCT__ "DMPlexCheckFaces"
5308 /*@
5309   DMPlexCheckFaces - Check that the faces of each cell give a vertex order this is consistent with what we expect from the cell type
5310 
5311   Input Parameters:
5312 + dm - The DMPlex object
5313 . isSimplex - Are the cells simplices or tensor products
5314 - cellHeight - Normally 0
5315 
5316   Note: This is a useful diagnostic when creating meshes programmatically.
5317 
5318   Level: developer
5319 
5320 .seealso: DMCreate(), DMCheckSymmetry(), DMCheckSkeleton()
5321 @*/
5322 PetscErrorCode DMPlexCheckFaces(DM dm, PetscBool isSimplex, PetscInt cellHeight)
5323 {
5324   PetscInt       pMax[4];
5325   PetscInt       dim, vStart, vEnd, cStart, cEnd, c, h;
5326   PetscErrorCode ierr;
5327 
5328   PetscFunctionBegin;
5329   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5330   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
5331   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
5332   ierr = DMPlexGetHybridBounds(dm, &pMax[dim], &pMax[dim-1], &pMax[1], &pMax[0]);CHKERRQ(ierr);
5333   for (h = cellHeight; h < dim; ++h) {
5334     ierr = DMPlexGetHeightStratum(dm, h, &cStart, &cEnd);CHKERRQ(ierr);
5335     for (c = cStart; c < cEnd; ++c) {
5336       const PetscInt *cone, *ornt, *faces;
5337       PetscInt        numFaces, faceSize, coneSize,f;
5338       PetscInt       *closure = NULL, closureSize, cl, numCorners = 0;
5339 
5340       if (pMax[dim-h] >= 0 && c >= pMax[dim-h]) continue;
5341       ierr = DMPlexGetConeSize(dm, c, &coneSize);CHKERRQ(ierr);
5342       ierr = DMPlexGetCone(dm, c, &cone);CHKERRQ(ierr);
5343       ierr = DMPlexGetConeOrientation(dm, c, &ornt);CHKERRQ(ierr);
5344       ierr = DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
5345       for (cl = 0; cl < closureSize*2; cl += 2) {
5346         const PetscInt p = closure[cl];
5347         if ((p >= vStart) && (p < vEnd)) closure[numCorners++] = p;
5348       }
5349       ierr = DMPlexGetRawFaces_Internal(dm, dim-h, numCorners, closure, &numFaces, &faceSize, &faces);CHKERRQ(ierr);
5350       if (coneSize != numFaces) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell %d has %d faces but should have %d", c, coneSize, numFaces);
5351       for (f = 0; f < numFaces; ++f) {
5352         PetscInt *fclosure = NULL, fclosureSize, cl, fnumCorners = 0, v;
5353 
5354         ierr = DMPlexGetTransitiveClosure_Internal(dm, cone[f], ornt[f], PETSC_TRUE, &fclosureSize, &fclosure);CHKERRQ(ierr);
5355         for (cl = 0; cl < fclosureSize*2; cl += 2) {
5356           const PetscInt p = fclosure[cl];
5357           if ((p >= vStart) && (p < vEnd)) fclosure[fnumCorners++] = p;
5358         }
5359         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);
5360         for (v = 0; v < fnumCorners; ++v) {
5361           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]);
5362         }
5363         ierr = DMPlexRestoreTransitiveClosure(dm, cone[f], PETSC_TRUE, &fclosureSize, &fclosure);CHKERRQ(ierr);
5364       }
5365       ierr = DMPlexRestoreFaces_Internal(dm, dim, c, &numFaces, &faceSize, &faces);CHKERRQ(ierr);
5366       ierr = DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
5367     }
5368   }
5369   PetscFunctionReturn(0);
5370 }
5371 
5372 #undef __FUNCT__
5373 #define __FUNCT__ "DMCreateInterpolation_Plex"
5374 /* Pointwise interpolation
5375      Just code FEM for now
5376      u^f = I u^c
5377      sum_k u^f_k phi^f_k = I sum_j u^c_j phi^c_j
5378      u^f_i = sum_j psi^f_i I phi^c_j u^c_j
5379      I_{ij} = psi^f_i phi^c_j
5380 */
5381 PetscErrorCode DMCreateInterpolation_Plex(DM dmCoarse, DM dmFine, Mat *interpolation, Vec *scaling)
5382 {
5383   PetscSection   gsc, gsf;
5384   PetscInt       m, n;
5385   void          *ctx;
5386   DM             cdm;
5387   PetscBool      regular;
5388   PetscErrorCode ierr;
5389 
5390   PetscFunctionBegin;
5391   ierr = DMGetDefaultGlobalSection(dmFine, &gsf);CHKERRQ(ierr);
5392   ierr = PetscSectionGetConstrainedStorageSize(gsf, &m);CHKERRQ(ierr);
5393   ierr = DMGetDefaultGlobalSection(dmCoarse, &gsc);CHKERRQ(ierr);
5394   ierr = PetscSectionGetConstrainedStorageSize(gsc, &n);CHKERRQ(ierr);
5395 
5396   ierr = MatCreate(PetscObjectComm((PetscObject) dmCoarse), interpolation);CHKERRQ(ierr);
5397   ierr = MatSetSizes(*interpolation, m, n, PETSC_DETERMINE, PETSC_DETERMINE);CHKERRQ(ierr);
5398   ierr = MatSetType(*interpolation, dmCoarse->mattype);CHKERRQ(ierr);
5399   ierr = DMGetApplicationContext(dmFine, &ctx);CHKERRQ(ierr);
5400 
5401   ierr = DMGetCoarseDM(dmFine, &cdm);CHKERRQ(ierr);
5402   ierr = DMPlexGetRegularRefinement(dmFine, &regular);CHKERRQ(ierr);
5403   if (regular && cdm == dmCoarse) {ierr = DMPlexComputeInterpolatorNested(dmCoarse, dmFine, *interpolation, ctx);CHKERRQ(ierr);}
5404   else                            {ierr = DMPlexComputeInterpolatorGeneral(dmCoarse, dmFine, *interpolation, ctx);CHKERRQ(ierr);}
5405   ierr = MatViewFromOptions(*interpolation, NULL, "-interp_mat_view");CHKERRQ(ierr);
5406   /* Use naive scaling */
5407   ierr = DMCreateInterpolationScale(dmCoarse, dmFine, *interpolation, scaling);CHKERRQ(ierr);
5408   PetscFunctionReturn(0);
5409 }
5410 
5411 #undef __FUNCT__
5412 #define __FUNCT__ "DMCreateInjection_Plex"
5413 PetscErrorCode DMCreateInjection_Plex(DM dmCoarse, DM dmFine, Mat *mat)
5414 {
5415   PetscErrorCode ierr;
5416   VecScatter     ctx;
5417 
5418   PetscFunctionBegin;
5419   ierr = DMPlexComputeInjectorFEM(dmCoarse, dmFine, &ctx, NULL);CHKERRQ(ierr);
5420   ierr = MatCreateScatter(PetscObjectComm((PetscObject)ctx), ctx, mat);CHKERRQ(ierr);
5421   ierr = VecScatterDestroy(&ctx);CHKERRQ(ierr);
5422   PetscFunctionReturn(0);
5423 }
5424 
5425 #undef __FUNCT__
5426 #define __FUNCT__ "DMCreateDefaultSection_Plex"
5427 PetscErrorCode DMCreateDefaultSection_Plex(DM dm)
5428 {
5429   PetscSection   section;
5430   IS            *bcPoints, *bcComps;
5431   PetscBool     *isFE;
5432   PetscInt      *bcFields, *numComp, *numDof;
5433   PetscInt       depth, dim, numBd, numBC = 0, numFields, bd, bc = 0, f;
5434   PetscInt       cStart, cEnd, cEndInterior;
5435   PetscErrorCode ierr;
5436 
5437   PetscFunctionBegin;
5438   ierr = DMGetNumFields(dm, &numFields);CHKERRQ(ierr);
5439   if (!numFields) PetscFunctionReturn(0);
5440   /* FE and FV boundary conditions are handled slightly differently */
5441   ierr = PetscMalloc1(numFields, &isFE);CHKERRQ(ierr);
5442   for (f = 0; f < numFields; ++f) {
5443     PetscObject  obj;
5444     PetscClassId id;
5445 
5446     ierr = DMGetField(dm, f, &obj);CHKERRQ(ierr);
5447     ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
5448     if (id == PETSCFE_CLASSID)      {isFE[f] = PETSC_TRUE;}
5449     else if (id == PETSCFV_CLASSID) {isFE[f] = PETSC_FALSE;}
5450     else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", f);
5451   }
5452   /* Allocate boundary point storage for FEM boundaries */
5453   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
5454   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
5455   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
5456   ierr = DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);CHKERRQ(ierr);
5457   ierr = DMGetNumBoundary(dm, &numBd);CHKERRQ(ierr);
5458   for (bd = 0; bd < numBd; ++bd) {
5459     PetscInt  field;
5460     PetscBool isEssential;
5461 
5462     ierr = DMGetBoundary(dm, bd, &isEssential, NULL, NULL, &field, NULL, NULL, NULL, NULL, NULL, NULL);CHKERRQ(ierr);
5463     if (isFE[field] && isEssential) ++numBC;
5464   }
5465   /* Add ghost cell boundaries for FVM */
5466   for (f = 0; f < numFields; ++f) if (!isFE[f] && cEndInterior >= 0) ++numBC;
5467   ierr = PetscCalloc3(numBC,&bcFields,numBC,&bcPoints,numBC,&bcComps);CHKERRQ(ierr);
5468   /* Constrain ghost cells for FV */
5469   for (f = 0; f < numFields; ++f) {
5470     PetscInt *newidx, c;
5471 
5472     if (isFE[f] || cEndInterior < 0) continue;
5473     ierr = PetscMalloc1(cEnd-cEndInterior,&newidx);CHKERRQ(ierr);
5474     for (c = cEndInterior; c < cEnd; ++c) newidx[c-cEndInterior] = c;
5475     bcFields[bc] = f;
5476     ierr = ISCreateGeneral(PetscObjectComm((PetscObject) dm), cEnd-cEndInterior, newidx, PETSC_OWN_POINTER, &bcPoints[bc++]);CHKERRQ(ierr);
5477   }
5478   /* Handle FEM Dirichlet boundaries */
5479   for (bd = 0; bd < numBd; ++bd) {
5480     const char     *bdLabel;
5481     DMLabel         label;
5482     const PetscInt *comps;
5483     const PetscInt *values;
5484     PetscInt        bd2, field, numComps, numValues;
5485     PetscBool       isEssential, duplicate = PETSC_FALSE;
5486 
5487     ierr = DMGetBoundary(dm, bd, &isEssential, NULL, &bdLabel, &field, &numComps, &comps, NULL, &numValues, &values, NULL);CHKERRQ(ierr);
5488     if (!isFE[field]) continue;
5489     ierr = DMGetLabel(dm, bdLabel, &label);CHKERRQ(ierr);
5490     /* Only want to modify label once */
5491     for (bd2 = 0; bd2 < bd; ++bd2) {
5492       const char *bdname;
5493       ierr = DMGetBoundary(dm, bd2, NULL, NULL, &bdname, NULL, NULL, NULL, NULL, NULL, NULL, NULL);CHKERRQ(ierr);
5494       ierr = PetscStrcmp(bdname, bdLabel, &duplicate);CHKERRQ(ierr);
5495       if (duplicate) break;
5496     }
5497     if (!duplicate && (isFE[field])) {
5498       /* don't complete cells, which are just present to give orientation to the boundary */
5499       ierr = DMPlexLabelComplete_Internal(dm, label, PETSC_FALSE);CHKERRQ(ierr);
5500       ierr = DMPlexLabelAddCells(dm, label);CHKERRQ(ierr);
5501     }
5502     /* Filter out cells, if you actually want to constrain cells you need to do things by hand right now */
5503     if (isEssential) {
5504       PetscInt       *newidx;
5505       PetscInt        n, newn = 0, p, v;
5506 
5507       bcFields[bc] = field;
5508       if (numComps) {ierr = ISCreateGeneral(PetscObjectComm((PetscObject) dm), numComps, comps, PETSC_COPY_VALUES, &bcComps[bc]);CHKERRQ(ierr);}
5509       for (v = 0; v < numValues; ++v) {
5510         IS              tmp;
5511         const PetscInt *idx;
5512 
5513         ierr = DMGetStratumIS(dm, bdLabel, values[v], &tmp);CHKERRQ(ierr);
5514         if (!tmp) continue;
5515         ierr = ISGetLocalSize(tmp, &n);CHKERRQ(ierr);
5516         ierr = ISGetIndices(tmp, &idx);CHKERRQ(ierr);
5517         if (isFE[field]) {
5518           for (p = 0; p < n; ++p) if ((idx[p] < cStart) || (idx[p] >= cEnd)) ++newn;
5519         } else {
5520           for (p = 0; p < n; ++p) if ((idx[p] >= cStart) || (idx[p] < cEnd)) ++newn;
5521         }
5522         ierr = ISRestoreIndices(tmp, &idx);CHKERRQ(ierr);
5523         ierr = ISDestroy(&tmp);CHKERRQ(ierr);
5524       }
5525       ierr = PetscMalloc1(newn,&newidx);CHKERRQ(ierr);
5526       newn = 0;
5527       for (v = 0; v < numValues; ++v) {
5528         IS              tmp;
5529         const PetscInt *idx;
5530 
5531         ierr = DMGetStratumIS(dm, bdLabel, values[v], &tmp);CHKERRQ(ierr);
5532         if (!tmp) continue;
5533         ierr = ISGetLocalSize(tmp, &n);CHKERRQ(ierr);
5534         ierr = ISGetIndices(tmp, &idx);CHKERRQ(ierr);
5535         if (isFE[field]) {
5536           for (p = 0; p < n; ++p) if ((idx[p] < cStart) || (idx[p] >= cEnd)) newidx[newn++] = idx[p];
5537         } else {
5538           for (p = 0; p < n; ++p) if ((idx[p] >= cStart) || (idx[p] < cEnd)) newidx[newn++] = idx[p];
5539         }
5540         ierr = ISRestoreIndices(tmp, &idx);CHKERRQ(ierr);
5541         ierr = ISDestroy(&tmp);CHKERRQ(ierr);
5542       }
5543       ierr = ISCreateGeneral(PetscObjectComm((PetscObject) dm), newn, newidx, PETSC_OWN_POINTER, &bcPoints[bc++]);CHKERRQ(ierr);
5544     }
5545   }
5546   /* Handle discretization */
5547   ierr = PetscCalloc2(numFields,&numComp,numFields*(dim+1),&numDof);CHKERRQ(ierr);
5548   for (f = 0; f < numFields; ++f) {
5549     PetscObject obj;
5550 
5551     ierr = DMGetField(dm, f, &obj);CHKERRQ(ierr);
5552     if (isFE[f]) {
5553       PetscFE         fe = (PetscFE) obj;
5554       const PetscInt *numFieldDof;
5555       PetscInt        d;
5556 
5557       ierr = PetscFEGetNumComponents(fe, &numComp[f]);CHKERRQ(ierr);
5558       ierr = PetscFEGetNumDof(fe, &numFieldDof);CHKERRQ(ierr);
5559       for (d = 0; d < dim+1; ++d) numDof[f*(dim+1)+d] = numFieldDof[d];
5560     } else {
5561       PetscFV fv = (PetscFV) obj;
5562 
5563       ierr = PetscFVGetNumComponents(fv, &numComp[f]);CHKERRQ(ierr);
5564       numDof[f*(dim+1)+dim] = numComp[f];
5565     }
5566   }
5567   for (f = 0; f < numFields; ++f) {
5568     PetscInt d;
5569     for (d = 1; d < dim; ++d) {
5570       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.");
5571     }
5572   }
5573   ierr = DMPlexCreateSection(dm, dim, numFields, numComp, numDof, numBC, bcFields, bcComps, bcPoints, NULL, &section);CHKERRQ(ierr);
5574   for (f = 0; f < numFields; ++f) {
5575     PetscFE     fe;
5576     const char *name;
5577 
5578     ierr = DMGetField(dm, f, (PetscObject *) &fe);CHKERRQ(ierr);
5579     ierr = PetscObjectGetName((PetscObject) fe, &name);CHKERRQ(ierr);
5580     ierr = PetscSectionSetFieldName(section, f, name);CHKERRQ(ierr);
5581   }
5582   ierr = DMSetDefaultSection(dm, section);CHKERRQ(ierr);
5583   ierr = PetscSectionDestroy(&section);CHKERRQ(ierr);
5584   for (bc = 0; bc < numBC; ++bc) {ierr = ISDestroy(&bcPoints[bc]);CHKERRQ(ierr);ierr = ISDestroy(&bcComps[bc]);CHKERRQ(ierr);}
5585   ierr = PetscFree3(bcFields,bcPoints,bcComps);CHKERRQ(ierr);
5586   ierr = PetscFree2(numComp,numDof);CHKERRQ(ierr);
5587   ierr = PetscFree(isFE);CHKERRQ(ierr);
5588   PetscFunctionReturn(0);
5589 }
5590 
5591 #undef __FUNCT__
5592 #define __FUNCT__ "DMPlexGetRegularRefinement"
5593 /*@
5594   DMPlexGetRegularRefinement - Get the flag indicating that this mesh was obtained by regular refinement from its coarse mesh
5595 
5596   Input Parameter:
5597 . dm - The DMPlex object
5598 
5599   Output Parameter:
5600 . regular - The flag
5601 
5602   Level: intermediate
5603 
5604 .seealso: DMPlexSetRegularRefinement()
5605 @*/
5606 PetscErrorCode DMPlexGetRegularRefinement(DM dm, PetscBool *regular)
5607 {
5608   PetscFunctionBegin;
5609   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5610   PetscValidPointer(regular, 2);
5611   *regular = ((DM_Plex *) dm->data)->regularRefinement;
5612   PetscFunctionReturn(0);
5613 }
5614 
5615 #undef __FUNCT__
5616 #define __FUNCT__ "DMPlexSetRegularRefinement"
5617 /*@
5618   DMPlexSetRegularRefinement - Set the flag indicating that this mesh was obtained by regular refinement from its coarse mesh
5619 
5620   Input Parameters:
5621 + dm - The DMPlex object
5622 - regular - The flag
5623 
5624   Level: intermediate
5625 
5626 .seealso: DMPlexGetRegularRefinement()
5627 @*/
5628 PetscErrorCode DMPlexSetRegularRefinement(DM dm, PetscBool regular)
5629 {
5630   PetscFunctionBegin;
5631   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5632   ((DM_Plex *) dm->data)->regularRefinement = regular;
5633   PetscFunctionReturn(0);
5634 }
5635 
5636 /* anchors */
5637 #undef __FUNCT__
5638 #define __FUNCT__ "DMPlexGetAnchors"
5639 /*@
5640   DMPlexGetAnchors - Get the layout of the anchor (point-to-point) constraints.  Typically, the user will not have to
5641   call DMPlexGetAnchors() directly: if there are anchors, then DMPlexGetAnchors() is called during DMGetConstraints().
5642 
5643   not collective
5644 
5645   Input Parameters:
5646 . dm - The DMPlex object
5647 
5648   Output Parameters:
5649 + anchorSection - If not NULL, set to the section describing which points anchor the constrained points.
5650 - anchorIS - If not NULL, set to the list of anchors indexed by anchorSection
5651 
5652 
5653   Level: intermediate
5654 
5655 .seealso: DMPlexSetAnchors(), DMGetConstraints(), DMSetConstraints()
5656 @*/
5657 PetscErrorCode DMPlexGetAnchors(DM dm, PetscSection *anchorSection, IS *anchorIS)
5658 {
5659   DM_Plex *plex = (DM_Plex *)dm->data;
5660   PetscErrorCode ierr;
5661 
5662   PetscFunctionBegin;
5663   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5664   if (!plex->anchorSection && !plex->anchorIS && plex->createanchors) {ierr = (*plex->createanchors)(dm);CHKERRQ(ierr);}
5665   if (anchorSection) *anchorSection = plex->anchorSection;
5666   if (anchorIS) *anchorIS = plex->anchorIS;
5667   PetscFunctionReturn(0);
5668 }
5669 
5670 #undef __FUNCT__
5671 #define __FUNCT__ "DMPlexSetAnchors"
5672 /*@
5673   DMPlexSetAnchors - Set the layout of the local anchor (point-to-point) constraints.  Unlike boundary conditions,
5674   when a point's degrees of freedom in a section are constrained to an outside value, the anchor constraints set a
5675   point's degrees of freedom to be a linear combination of other points' degrees of freedom.
5676 
5677   After specifying the layout of constraints with DMPlexSetAnchors(), one specifies the constraints by calling
5678   DMGetConstraints() and filling in the entries in the constraint matrix.
5679 
5680   collective on dm
5681 
5682   Input Parameters:
5683 + dm - The DMPlex object
5684 . 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).
5685 - anchorIS - The list of all anchor points.  Must have a local communicator (PETSC_COMM_SELF or derivative).
5686 
5687   The reference counts of anchorSection and anchorIS are incremented.
5688 
5689   Level: intermediate
5690 
5691 .seealso: DMPlexGetAnchors(), DMGetConstraints(), DMSetConstraints()
5692 @*/
5693 PetscErrorCode DMPlexSetAnchors(DM dm, PetscSection anchorSection, IS anchorIS)
5694 {
5695   DM_Plex        *plex = (DM_Plex *)dm->data;
5696   PetscMPIInt    result;
5697   PetscErrorCode ierr;
5698 
5699   PetscFunctionBegin;
5700   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5701   if (anchorSection) {
5702     PetscValidHeaderSpecific(anchorSection,PETSC_SECTION_CLASSID,2);
5703     ierr = MPI_Comm_compare(PETSC_COMM_SELF,PetscObjectComm((PetscObject)anchorSection),&result);CHKERRQ(ierr);
5704     if (result != MPI_CONGRUENT) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NOTSAMECOMM,"anchor section must have local communicator");
5705   }
5706   if (anchorIS) {
5707     PetscValidHeaderSpecific(anchorIS,IS_CLASSID,3);
5708     ierr = MPI_Comm_compare(PETSC_COMM_SELF,PetscObjectComm((PetscObject)anchorIS),&result);CHKERRQ(ierr);
5709     if (result != MPI_CONGRUENT) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NOTSAMECOMM,"anchor IS must have local communicator");
5710   }
5711 
5712   ierr = PetscObjectReference((PetscObject)anchorSection);CHKERRQ(ierr);
5713   ierr = PetscSectionDestroy(&plex->anchorSection);CHKERRQ(ierr);
5714   plex->anchorSection = anchorSection;
5715 
5716   ierr = PetscObjectReference((PetscObject)anchorIS);CHKERRQ(ierr);
5717   ierr = ISDestroy(&plex->anchorIS);CHKERRQ(ierr);
5718   plex->anchorIS = anchorIS;
5719 
5720 #if defined(PETSC_USE_DEBUG)
5721   if (anchorIS && anchorSection) {
5722     PetscInt size, a, pStart, pEnd;
5723     const PetscInt *anchors;
5724 
5725     ierr = PetscSectionGetChart(anchorSection,&pStart,&pEnd);CHKERRQ(ierr);
5726     ierr = ISGetLocalSize(anchorIS,&size);CHKERRQ(ierr);
5727     ierr = ISGetIndices(anchorIS,&anchors);CHKERRQ(ierr);
5728     for (a = 0; a < size; a++) {
5729       PetscInt p;
5730 
5731       p = anchors[a];
5732       if (p >= pStart && p < pEnd) {
5733         PetscInt dof;
5734 
5735         ierr = PetscSectionGetDof(anchorSection,p,&dof);CHKERRQ(ierr);
5736         if (dof) {
5737           PetscErrorCode ierr2;
5738 
5739           ierr2 = ISRestoreIndices(anchorIS,&anchors);CHKERRQ(ierr2);
5740           SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Point %d cannot be constrained and an anchor",p);
5741         }
5742       }
5743     }
5744     ierr = ISRestoreIndices(anchorIS,&anchors);CHKERRQ(ierr);
5745   }
5746 #endif
5747   /* reset the generic constraints */
5748   ierr = DMSetDefaultConstraints(dm,NULL,NULL);CHKERRQ(ierr);
5749   PetscFunctionReturn(0);
5750 }
5751 
5752 #undef __FUNCT__
5753 #define __FUNCT__ "DMPlexCreateConstraintSection_Anchors"
5754 static PetscErrorCode DMPlexCreateConstraintSection_Anchors(DM dm, PetscSection section, PetscSection *cSec)
5755 {
5756   PetscSection anchorSection;
5757   PetscInt pStart, pEnd, sStart, sEnd, p, dof, numFields, f;
5758   PetscErrorCode ierr;
5759 
5760   PetscFunctionBegin;
5761   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5762   ierr = DMPlexGetAnchors(dm,&anchorSection,NULL);CHKERRQ(ierr);
5763   ierr = PetscSectionCreate(PETSC_COMM_SELF,cSec);CHKERRQ(ierr);
5764   ierr = PetscSectionGetNumFields(section,&numFields);CHKERRQ(ierr);
5765   if (numFields) {
5766     PetscInt f;
5767     ierr = PetscSectionSetNumFields(*cSec,numFields);CHKERRQ(ierr);
5768 
5769     for (f = 0; f < numFields; f++) {
5770       PetscInt numComp;
5771 
5772       ierr = PetscSectionGetFieldComponents(section,f,&numComp);CHKERRQ(ierr);
5773       ierr = PetscSectionSetFieldComponents(*cSec,f,numComp);CHKERRQ(ierr);
5774     }
5775   }
5776   ierr = PetscSectionGetChart(anchorSection,&pStart,&pEnd);CHKERRQ(ierr);
5777   ierr = PetscSectionGetChart(section,&sStart,&sEnd);CHKERRQ(ierr);
5778   pStart = PetscMax(pStart,sStart);
5779   pEnd   = PetscMin(pEnd,sEnd);
5780   pEnd   = PetscMax(pStart,pEnd);
5781   ierr = PetscSectionSetChart(*cSec,pStart,pEnd);CHKERRQ(ierr);
5782   for (p = pStart; p < pEnd; p++) {
5783     ierr = PetscSectionGetDof(anchorSection,p,&dof);CHKERRQ(ierr);
5784     if (dof) {
5785       ierr = PetscSectionGetDof(section,p,&dof);CHKERRQ(ierr);
5786       ierr = PetscSectionSetDof(*cSec,p,dof);CHKERRQ(ierr);
5787       for (f = 0; f < numFields; f++) {
5788         ierr = PetscSectionGetFieldDof(section,p,f,&dof);CHKERRQ(ierr);
5789         ierr = PetscSectionSetFieldDof(*cSec,p,f,dof);CHKERRQ(ierr);
5790       }
5791     }
5792   }
5793   ierr = PetscSectionSetUp(*cSec);CHKERRQ(ierr);
5794   PetscFunctionReturn(0);
5795 }
5796 
5797 #undef __FUNCT__
5798 #define __FUNCT__ "DMPlexCreateConstraintMatrix_Anchors"
5799 static PetscErrorCode DMPlexCreateConstraintMatrix_Anchors(DM dm, PetscSection section, PetscSection cSec, Mat *cMat)
5800 {
5801   PetscSection aSec;
5802   PetscInt pStart, pEnd, p, dof, aDof, aOff, off, nnz, annz, m, n, q, a, offset, *i, *j;
5803   const PetscInt *anchors;
5804   PetscInt numFields, f;
5805   IS aIS;
5806   PetscErrorCode ierr;
5807 
5808   PetscFunctionBegin;
5809   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5810   ierr = PetscSectionGetStorageSize(cSec, &m);CHKERRQ(ierr);
5811   ierr = PetscSectionGetStorageSize(section, &n);CHKERRQ(ierr);
5812   ierr = MatCreate(PETSC_COMM_SELF,cMat);CHKERRQ(ierr);
5813   ierr = MatSetSizes(*cMat,m,n,m,n);CHKERRQ(ierr);
5814   ierr = MatSetType(*cMat,MATSEQAIJ);CHKERRQ(ierr);
5815   ierr = DMPlexGetAnchors(dm,&aSec,&aIS);CHKERRQ(ierr);
5816   ierr = ISGetIndices(aIS,&anchors);CHKERRQ(ierr);
5817   /* cSec will be a subset of aSec and section */
5818   ierr = PetscSectionGetChart(cSec,&pStart,&pEnd);CHKERRQ(ierr);
5819   ierr = PetscMalloc1(m+1,&i);CHKERRQ(ierr);
5820   i[0] = 0;
5821   ierr = PetscSectionGetNumFields(section,&numFields);CHKERRQ(ierr);
5822   for (p = pStart; p < pEnd; p++) {
5823     PetscInt rDof, rOff, r;
5824 
5825     ierr = PetscSectionGetDof(aSec,p,&rDof);CHKERRQ(ierr);
5826     if (!rDof) continue;
5827     ierr = PetscSectionGetOffset(aSec,p,&rOff);CHKERRQ(ierr);
5828     if (numFields) {
5829       for (f = 0; f < numFields; f++) {
5830         annz = 0;
5831         for (r = 0; r < rDof; r++) {
5832           a = anchors[rOff + r];
5833           ierr = PetscSectionGetFieldDof(section,a,f,&aDof);CHKERRQ(ierr);
5834           annz += aDof;
5835         }
5836         ierr = PetscSectionGetFieldDof(cSec,p,f,&dof);CHKERRQ(ierr);
5837         ierr = PetscSectionGetFieldOffset(cSec,p,f,&off);CHKERRQ(ierr);
5838         for (q = 0; q < dof; q++) {
5839           i[off + q + 1] = i[off + q] + annz;
5840         }
5841       }
5842     }
5843     else {
5844       annz = 0;
5845       for (q = 0; q < dof; q++) {
5846         a = anchors[off + q];
5847         ierr = PetscSectionGetDof(section,a,&aDof);CHKERRQ(ierr);
5848         annz += aDof;
5849       }
5850       ierr = PetscSectionGetDof(cSec,p,&dof);CHKERRQ(ierr);
5851       ierr = PetscSectionGetOffset(cSec,p,&off);CHKERRQ(ierr);
5852       for (q = 0; q < dof; q++) {
5853         i[off + q + 1] = i[off + q] + annz;
5854       }
5855     }
5856   }
5857   nnz = i[m];
5858   ierr = PetscMalloc1(nnz,&j);CHKERRQ(ierr);
5859   offset = 0;
5860   for (p = pStart; p < pEnd; p++) {
5861     if (numFields) {
5862       for (f = 0; f < numFields; f++) {
5863         ierr = PetscSectionGetFieldDof(cSec,p,f,&dof);CHKERRQ(ierr);
5864         for (q = 0; q < dof; q++) {
5865           PetscInt rDof, rOff, r;
5866           ierr = PetscSectionGetDof(aSec,p,&rDof);CHKERRQ(ierr);
5867           ierr = PetscSectionGetOffset(aSec,p,&rOff);CHKERRQ(ierr);
5868           for (r = 0; r < rDof; r++) {
5869             PetscInt s;
5870 
5871             a = anchors[rOff + r];
5872             ierr = PetscSectionGetFieldDof(section,a,f,&aDof);CHKERRQ(ierr);
5873             ierr = PetscSectionGetFieldOffset(section,a,f,&aOff);CHKERRQ(ierr);
5874             for (s = 0; s < aDof; s++) {
5875               j[offset++] = aOff + s;
5876             }
5877           }
5878         }
5879       }
5880     }
5881     else {
5882       ierr = PetscSectionGetDof(cSec,p,&dof);CHKERRQ(ierr);
5883       for (q = 0; q < dof; q++) {
5884         PetscInt rDof, rOff, r;
5885         ierr = PetscSectionGetDof(aSec,p,&rDof);CHKERRQ(ierr);
5886         ierr = PetscSectionGetOffset(aSec,p,&rOff);CHKERRQ(ierr);
5887         for (r = 0; r < rDof; r++) {
5888           PetscInt s;
5889 
5890           a = anchors[rOff + r];
5891           ierr = PetscSectionGetDof(section,a,&aDof);CHKERRQ(ierr);
5892           ierr = PetscSectionGetOffset(section,a,&aOff);CHKERRQ(ierr);
5893           for (s = 0; s < aDof; s++) {
5894             j[offset++] = aOff + s;
5895           }
5896         }
5897       }
5898     }
5899   }
5900   ierr = MatSeqAIJSetPreallocationCSR(*cMat,i,j,NULL);CHKERRQ(ierr);
5901   ierr = PetscFree(i);CHKERRQ(ierr);
5902   ierr = PetscFree(j);CHKERRQ(ierr);
5903   ierr = ISRestoreIndices(aIS,&anchors);CHKERRQ(ierr);
5904   PetscFunctionReturn(0);
5905 }
5906 
5907 #undef __FUNCT__
5908 #define __FUNCT__ "DMCreateDefaultConstraints_Plex"
5909 PetscErrorCode DMCreateDefaultConstraints_Plex(DM dm)
5910 {
5911   DM_Plex        *plex = (DM_Plex *)dm->data;
5912   PetscSection   anchorSection, section, cSec;
5913   Mat            cMat;
5914   PetscErrorCode ierr;
5915 
5916   PetscFunctionBegin;
5917   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5918   ierr = DMPlexGetAnchors(dm,&anchorSection,NULL);CHKERRQ(ierr);
5919   if (anchorSection) {
5920     PetscDS  ds;
5921     PetscInt nf;
5922 
5923     ierr = DMGetDefaultSection(dm,&section);CHKERRQ(ierr);
5924     ierr = DMPlexCreateConstraintSection_Anchors(dm,section,&cSec);CHKERRQ(ierr);
5925     ierr = DMPlexCreateConstraintMatrix_Anchors(dm,section,cSec,&cMat);CHKERRQ(ierr);
5926     ierr = DMGetDS(dm,&ds);CHKERRQ(ierr);
5927     ierr = PetscDSGetNumFields(ds,&nf);CHKERRQ(ierr);
5928     if (nf && plex->computeanchormatrix) {ierr = (*plex->computeanchormatrix)(dm,section,cSec,cMat);CHKERRQ(ierr);}
5929     ierr = DMSetDefaultConstraints(dm,cSec,cMat);CHKERRQ(ierr);
5930     ierr = PetscSectionDestroy(&cSec);CHKERRQ(ierr);
5931     ierr = MatDestroy(&cMat);CHKERRQ(ierr);
5932   }
5933   PetscFunctionReturn(0);
5934 }
5935