xref: /petsc/src/dm/impls/plex/plex.c (revision cc453b881acc9aa5bb5a745b544dd7bced7fa9a6)
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_Stratify, DMPLEX_Preallocate, DMPLEX_ResidualFEM, DMPLEX_JacobianFEM, DMPLEX_InterpolatorFEM, DMPLEX_InjectorFEM, DMPLEX_IntegralFEM;
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, 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__ "VecLoad_Plex_Local"
139 PetscErrorCode VecLoad_Plex_Local(Vec v, PetscViewer viewer)
140 {
141   DM             dm;
142   PetscBool      ishdf5;
143   PetscErrorCode ierr;
144 
145   PetscFunctionBegin;
146   ierr = VecGetDM(v, &dm);CHKERRQ(ierr);
147   if (!dm) SETERRQ(PetscObjectComm((PetscObject)v), PETSC_ERR_ARG_WRONG, "Vector not generated from a DM");
148   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERHDF5, &ishdf5);CHKERRQ(ierr);
149   if (ishdf5) {
150     DM          dmBC;
151     Vec         gv;
152     const char *name;
153 
154     ierr = DMGetOutputDM(dm, &dmBC);CHKERRQ(ierr);
155     ierr = DMGetGlobalVector(dmBC, &gv);CHKERRQ(ierr);
156     ierr = PetscObjectGetName((PetscObject) v, &name);CHKERRQ(ierr);
157     ierr = PetscObjectSetName((PetscObject) gv, name);CHKERRQ(ierr);
158     ierr = VecLoad_Default(gv, viewer);CHKERRQ(ierr);
159     ierr = DMGlobalToLocalBegin(dmBC, gv, INSERT_VALUES, v);CHKERRQ(ierr);
160     ierr = DMGlobalToLocalEnd(dmBC, gv, INSERT_VALUES, v);CHKERRQ(ierr);
161     ierr = DMRestoreGlobalVector(dmBC, &gv);CHKERRQ(ierr);
162   } else {
163     ierr = VecLoad_Default(v, viewer);CHKERRQ(ierr);
164   }
165   PetscFunctionReturn(0);
166 }
167 
168 #undef __FUNCT__
169 #define __FUNCT__ "VecLoad_Plex"
170 PetscErrorCode VecLoad_Plex(Vec v, PetscViewer viewer)
171 {
172   DM             dm;
173   PetscBool      ishdf5;
174   PetscErrorCode ierr;
175 
176   PetscFunctionBegin;
177   ierr = VecGetDM(v, &dm);CHKERRQ(ierr);
178   if (!dm) SETERRQ(PetscObjectComm((PetscObject)v), PETSC_ERR_ARG_WRONG, "Vector not generated from a DM");
179   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERHDF5, &ishdf5);CHKERRQ(ierr);
180   if (ishdf5) {
181 #if defined(PETSC_HAVE_HDF5)
182     ierr = VecLoad_Plex_HDF5(v, viewer);CHKERRQ(ierr);
183 #else
184     SETERRQ(PetscObjectComm((PetscObject) dm), PETSC_ERR_SUP, "HDF5 not supported in this build.\nPlease reconfigure using --download-hdf5");
185 #endif
186   } else {
187     ierr = VecLoad_Default(v, viewer);CHKERRQ(ierr);
188   }
189   PetscFunctionReturn(0);
190 }
191 
192 #undef __FUNCT__
193 #define __FUNCT__ "DMPlexView_Ascii_Geometry"
194 PetscErrorCode DMPlexView_Ascii_Geometry(DM dm, PetscViewer viewer)
195 {
196   PetscSection       coordSection;
197   Vec                coordinates;
198   DMLabel            depthLabel;
199   const char        *name[4];
200   const PetscScalar *a;
201   PetscInt           dim, pStart, pEnd, cStart, cEnd, c;
202   PetscErrorCode     ierr;
203 
204   PetscFunctionBegin;
205   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
206   ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
207   ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
208   ierr = DMPlexGetDepthLabel(dm, &depthLabel);CHKERRQ(ierr);
209   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
210   ierr = PetscSectionGetChart(coordSection, &pStart, &pEnd);CHKERRQ(ierr);
211   ierr = VecGetArrayRead(coordinates, &a);CHKERRQ(ierr);
212   name[0]     = "vertex";
213   name[1]     = "edge";
214   name[dim-1] = "face";
215   name[dim]   = "cell";
216   for (c = cStart; c < cEnd; ++c) {
217     PetscInt *closure = NULL;
218     PetscInt  closureSize, cl;
219 
220     ierr = PetscViewerASCIIPrintf(viewer, "Geometry for cell %d:\n", c);CHKERRQ(ierr);
221     ierr = DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
222     ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
223     for (cl = 0; cl < closureSize*2; cl += 2) {
224       PetscInt point = closure[cl], depth, dof, off, d, p;
225 
226       if ((point < pStart) || (point >= pEnd)) continue;
227       ierr = PetscSectionGetDof(coordSection, point, &dof);CHKERRQ(ierr);
228       if (!dof) continue;
229       ierr = DMLabelGetValue(depthLabel, point, &depth);CHKERRQ(ierr);
230       ierr = PetscSectionGetOffset(coordSection, point, &off);CHKERRQ(ierr);
231       ierr = PetscViewerASCIIPrintf(viewer, "%s %d coords:", name[depth], point);CHKERRQ(ierr);
232       for (p = 0; p < dof/dim; ++p) {
233         ierr = PetscViewerASCIIPrintf(viewer, " (");CHKERRQ(ierr);
234         for (d = 0; d < dim; ++d) {
235           if (d > 0) {ierr = PetscViewerASCIIPrintf(viewer, ", ");CHKERRQ(ierr);}
236           ierr = PetscViewerASCIIPrintf(viewer, "%g", PetscRealPart(a[off+p*dim+d]));CHKERRQ(ierr);
237         }
238         ierr = PetscViewerASCIIPrintf(viewer, ")");CHKERRQ(ierr);
239       }
240       ierr = PetscViewerASCIIPrintf(viewer, "\n");CHKERRQ(ierr);
241     }
242     ierr = DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
243     ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
244   }
245   ierr = VecRestoreArrayRead(coordinates, &a);CHKERRQ(ierr);
246   PetscFunctionReturn(0);
247 }
248 
249 #undef __FUNCT__
250 #define __FUNCT__ "DMPlexView_Ascii"
251 PetscErrorCode DMPlexView_Ascii(DM dm, PetscViewer viewer)
252 {
253   DM_Plex          *mesh = (DM_Plex*) dm->data;
254   DM                cdm;
255   DMLabel           markers;
256   PetscSection      coordSection;
257   Vec               coordinates;
258   PetscViewerFormat format;
259   PetscErrorCode    ierr;
260 
261   PetscFunctionBegin;
262   ierr = DMGetCoordinateDM(dm, &cdm);CHKERRQ(ierr);
263   ierr = DMGetDefaultSection(cdm, &coordSection);CHKERRQ(ierr);
264   ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
265   ierr = PetscViewerGetFormat(viewer, &format);CHKERRQ(ierr);
266   if (format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
267     const char *name;
268     PetscInt    maxConeSize, maxSupportSize;
269     PetscInt    pStart, pEnd, p;
270     PetscMPIInt rank, size;
271 
272     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)dm), &rank);CHKERRQ(ierr);
273     ierr = MPI_Comm_size(PetscObjectComm((PetscObject)dm), &size);CHKERRQ(ierr);
274     ierr = PetscObjectGetName((PetscObject) dm, &name);CHKERRQ(ierr);
275     ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
276     ierr = DMPlexGetMaxSizes(dm, &maxConeSize, &maxSupportSize);CHKERRQ(ierr);
277     ierr = PetscViewerASCIISynchronizedAllow(viewer, PETSC_TRUE);CHKERRQ(ierr);
278     ierr = PetscViewerASCIIPrintf(viewer, "Mesh '%s':\n", name);CHKERRQ(ierr);
279     ierr = PetscViewerASCIISynchronizedPrintf(viewer, "Max sizes cone: %D support: %D\n", maxConeSize, maxSupportSize);CHKERRQ(ierr);
280     ierr = PetscViewerASCIIPrintf(viewer, "orientation is missing\n", name);CHKERRQ(ierr);
281     ierr = PetscViewerASCIIPrintf(viewer, "cap --> base:\n", name);CHKERRQ(ierr);
282     for (p = pStart; p < pEnd; ++p) {
283       PetscInt dof, off, s;
284 
285       ierr = PetscSectionGetDof(mesh->supportSection, p, &dof);CHKERRQ(ierr);
286       ierr = PetscSectionGetOffset(mesh->supportSection, p, &off);CHKERRQ(ierr);
287       for (s = off; s < off+dof; ++s) {
288         ierr = PetscViewerASCIISynchronizedPrintf(viewer, "[%d]: %D ----> %D\n", rank, p, mesh->supports[s]);CHKERRQ(ierr);
289       }
290     }
291     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
292     ierr = PetscViewerASCIIPrintf(viewer, "base <-- cap:\n", name);CHKERRQ(ierr);
293     for (p = pStart; p < pEnd; ++p) {
294       PetscInt dof, off, c;
295 
296       ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
297       ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
298       for (c = off; c < off+dof; ++c) {
299         ierr = PetscViewerASCIISynchronizedPrintf(viewer, "[%d]: %D <---- %D (%D)\n", rank, p, mesh->cones[c], mesh->coneOrientations[c]);CHKERRQ(ierr);
300       }
301     }
302     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
303     ierr = PetscSectionGetChart(coordSection, &pStart, NULL);CHKERRQ(ierr);
304     if (pStart >= 0) {ierr = PetscSectionVecView(coordSection, coordinates, viewer);CHKERRQ(ierr);}
305     ierr = DMPlexGetLabel(dm, "marker", &markers);CHKERRQ(ierr);
306     ierr = DMLabelView(markers,viewer);CHKERRQ(ierr);
307     if (size > 1) {
308       PetscSF sf;
309 
310       ierr = DMGetPointSF(dm, &sf);CHKERRQ(ierr);
311       ierr = PetscSFView(sf, viewer);CHKERRQ(ierr);
312     }
313     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
314   } else if (format == PETSC_VIEWER_ASCII_LATEX) {
315     const char  *name, *color;
316     const char  *defcolors[3]  = {"gray", "orange", "green"};
317     const char  *deflcolors[4] = {"blue", "cyan", "red", "magenta"};
318     PetscReal    scale         = 2.0;
319     PetscBool    useNumbers    = PETSC_TRUE, useLabels, useColors;
320     double       tcoords[3];
321     PetscScalar *coords;
322     PetscInt     numLabels, l, numColors, numLColors, dim, depth, cStart, cEnd, c, vStart, vEnd, v, eStart = 0, eEnd = 0, e, p;
323     PetscMPIInt  rank, size;
324     char         **names, **colors, **lcolors;
325 
326     ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
327     ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
328     ierr = DMPlexGetNumLabels(dm, &numLabels);CHKERRQ(ierr);
329     numLabels  = PetscMax(numLabels, 10);
330     numColors  = 10;
331     numLColors = 10;
332     ierr = PetscCalloc3(numLabels, &names, numColors, &colors, numLColors, &lcolors);CHKERRQ(ierr);
333     ierr = PetscOptionsGetReal(((PetscObject) viewer)->prefix, "-dm_plex_view_scale", &scale, NULL);CHKERRQ(ierr);
334     ierr = PetscOptionsGetBool(((PetscObject) viewer)->prefix, "-dm_plex_view_numbers", &useNumbers, NULL);CHKERRQ(ierr);
335     ierr = PetscOptionsGetStringArray(((PetscObject) viewer)->prefix, "-dm_plex_view_labels", names, &numLabels, &useLabels);CHKERRQ(ierr);
336     if (!useLabels) numLabels = 0;
337     ierr = PetscOptionsGetStringArray(((PetscObject) viewer)->prefix, "-dm_plex_view_colors", colors, &numColors, &useColors);CHKERRQ(ierr);
338     if (!useColors) {
339       numColors = 3;
340       for (c = 0; c < numColors; ++c) {ierr = PetscStrallocpy(defcolors[c], &colors[c]);CHKERRQ(ierr);}
341     }
342     ierr = PetscOptionsGetStringArray(((PetscObject) viewer)->prefix, "-dm_plex_view_lcolors", lcolors, &numLColors, &useColors);CHKERRQ(ierr);
343     if (!useColors) {
344       numLColors = 4;
345       for (c = 0; c < numLColors; ++c) {ierr = PetscStrallocpy(deflcolors[c], &lcolors[c]);CHKERRQ(ierr);}
346     }
347     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)dm), &rank);CHKERRQ(ierr);
348     ierr = MPI_Comm_size(PetscObjectComm((PetscObject)dm), &size);CHKERRQ(ierr);
349     ierr = PetscObjectGetName((PetscObject) dm, &name);CHKERRQ(ierr);
350     ierr = PetscViewerASCIISynchronizedAllow(viewer, PETSC_TRUE);CHKERRQ(ierr);
351     ierr = PetscViewerASCIIPrintf(viewer, "\
352 \\documentclass[tikz]{standalone}\n\n\
353 \\usepackage{pgflibraryshapes}\n\
354 \\usetikzlibrary{backgrounds}\n\
355 \\usetikzlibrary{arrows}\n\
356 \\begin{document}\n");CHKERRQ(ierr);
357     if (size > 1) {
358       ierr = PetscViewerASCIIPrintf(viewer, "%s for process ", name);CHKERRQ(ierr);
359       for (p = 0; p < size; ++p) {
360         if (p > 0 && p == size-1) {
361           ierr = PetscViewerASCIIPrintf(viewer, ", and ", colors[p%numColors], p);CHKERRQ(ierr);
362         } else if (p > 0) {
363           ierr = PetscViewerASCIIPrintf(viewer, ", ", colors[p%numColors], p);CHKERRQ(ierr);
364         }
365         ierr = PetscViewerASCIIPrintf(viewer, "{\\textcolor{%s}%D}", colors[p%numColors], p);CHKERRQ(ierr);
366       }
367       ierr = PetscViewerASCIIPrintf(viewer, ".\n\n\n");CHKERRQ(ierr);
368     }
369     ierr = PetscViewerASCIIPrintf(viewer, "\\begin{tikzpicture}[scale = %g,font=\\fontsize{8}{8}\\selectfont]\n", 1.0);CHKERRQ(ierr);
370     /* Plot vertices */
371     ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
372     ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
373     for (v = vStart; v < vEnd; ++v) {
374       PetscInt  off, dof, d;
375       PetscBool isLabeled = PETSC_FALSE;
376 
377       ierr = PetscSectionGetDof(coordSection, v, &dof);CHKERRQ(ierr);
378       ierr = PetscSectionGetOffset(coordSection, v, &off);CHKERRQ(ierr);
379       ierr = PetscViewerASCIISynchronizedPrintf(viewer, "\\path (");CHKERRQ(ierr);
380       for (d = 0; d < dof; ++d) {
381         tcoords[d] = (double) (scale*PetscRealPart(coords[off+d]));
382         tcoords[d] = PetscAbsReal(tcoords[d]) < 1e-10 ? 0.0 : tcoords[d];
383       }
384       /* Rotate coordinates since PGF makes z point out of the page instead of up */
385       if (dim == 3) {PetscReal tmp = tcoords[1]; tcoords[1] = tcoords[2]; tcoords[2] = -tmp;}
386       for (d = 0; d < dof; ++d) {
387         if (d > 0) {ierr = PetscViewerASCIISynchronizedPrintf(viewer, ",");CHKERRQ(ierr);}
388         ierr = PetscViewerASCIISynchronizedPrintf(viewer, "%g", tcoords[d]);CHKERRQ(ierr);
389       }
390       color = colors[rank%numColors];
391       for (l = 0; l < numLabels; ++l) {
392         PetscInt val;
393         ierr = DMPlexGetLabelValue(dm, names[l], v, &val);CHKERRQ(ierr);
394         if (val >= 0) {color = lcolors[l%numLColors]; isLabeled = PETSC_TRUE; break;}
395       }
396       if (useNumbers) {
397         ierr = PetscViewerASCIISynchronizedPrintf(viewer, ") node(%D_%d) [draw,shape=circle,color=%s] {%D};\n", v, rank, color, v);CHKERRQ(ierr);
398       } else {
399         ierr = PetscViewerASCIISynchronizedPrintf(viewer, ") node(%D_%d) [fill,inner sep=%dpt,shape=circle,color=%s] {};\n", v, rank, !isLabeled ? 1 : 2, color);CHKERRQ(ierr);
400       }
401     }
402     ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
403     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
404     /* Plot edges */
405     if (depth > 1) {ierr = DMPlexGetDepthStratum(dm, 1, &eStart, &eEnd);CHKERRQ(ierr);}
406     if (dim < 3 && useNumbers) {
407       ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
408       ierr = PetscViewerASCIIPrintf(viewer, "\\path\n");CHKERRQ(ierr);
409       for (e = eStart; e < eEnd; ++e) {
410         const PetscInt *cone;
411         PetscInt        coneSize, offA, offB, dof, d;
412 
413         ierr = DMPlexGetConeSize(dm, e, &coneSize);CHKERRQ(ierr);
414         if (coneSize != 2) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Edge %d cone should have two vertices, not %d", e, coneSize);
415         ierr = DMPlexGetCone(dm, e, &cone);CHKERRQ(ierr);
416         ierr = PetscSectionGetDof(coordSection, cone[0], &dof);CHKERRQ(ierr);
417         ierr = PetscSectionGetOffset(coordSection, cone[0], &offA);CHKERRQ(ierr);
418         ierr = PetscSectionGetOffset(coordSection, cone[1], &offB);CHKERRQ(ierr);
419         ierr = PetscViewerASCIISynchronizedPrintf(viewer, "(");CHKERRQ(ierr);
420         for (d = 0; d < dof; ++d) {
421           tcoords[d] = (double) (scale*PetscRealPart(coords[offA+d]+coords[offB+d]));
422           tcoords[d] = PetscAbsReal(tcoords[d]) < 1e-10 ? 0.0 : tcoords[d];
423         }
424         /* Rotate coordinates since PGF makes z point out of the page instead of up */
425         if (dim == 3) {PetscReal tmp = tcoords[1]; tcoords[1] = tcoords[2]; tcoords[2] = -tmp;}
426         for (d = 0; d < dof; ++d) {
427           if (d > 0) {ierr = PetscViewerASCIISynchronizedPrintf(viewer, ",");CHKERRQ(ierr);}
428           ierr = PetscViewerASCIISynchronizedPrintf(viewer, "%g", tcoords[d]);CHKERRQ(ierr);
429         }
430         color = colors[rank%numColors];
431         for (l = 0; l < numLabels; ++l) {
432           PetscInt val;
433           ierr = DMPlexGetLabelValue(dm, names[l], v, &val);CHKERRQ(ierr);
434           if (val >= 0) {color = lcolors[l%numLColors]; break;}
435         }
436         ierr = PetscViewerASCIISynchronizedPrintf(viewer, ") node(%D_%d) [draw,shape=circle,color=%s] {%D} --\n", e, rank, color, e);CHKERRQ(ierr);
437       }
438       ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
439       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
440       ierr = PetscViewerASCIIPrintf(viewer, "(0,0);\n");CHKERRQ(ierr);
441     }
442     /* Plot cells */
443     if (dim == 3 || !useNumbers) {
444       for (e = eStart; e < eEnd; ++e) {
445         const PetscInt *cone;
446 
447         color = colors[rank%numColors];
448         for (l = 0; l < numLabels; ++l) {
449           PetscInt val;
450           ierr = DMPlexGetLabelValue(dm, names[l], e, &val);CHKERRQ(ierr);
451           if (val >= 0) {color = lcolors[l%numLColors]; break;}
452         }
453         ierr = DMPlexGetCone(dm, e, &cone);CHKERRQ(ierr);
454         ierr = PetscViewerASCIISynchronizedPrintf(viewer, "\\draw[color=%s] (%D_%d) -- (%D_%d);\n", color, cone[0], rank, cone[1], rank);CHKERRQ(ierr);
455       }
456     } else {
457       ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
458       for (c = cStart; c < cEnd; ++c) {
459         PetscInt *closure = NULL;
460         PetscInt  closureSize, firstPoint = -1;
461 
462         ierr = DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
463         ierr = PetscViewerASCIISynchronizedPrintf(viewer, "\\draw[color=%s] ", colors[rank%numColors]);CHKERRQ(ierr);
464         for (p = 0; p < closureSize*2; p += 2) {
465           const PetscInt point = closure[p];
466 
467           if ((point < vStart) || (point >= vEnd)) continue;
468           if (firstPoint >= 0) {ierr = PetscViewerASCIISynchronizedPrintf(viewer, " -- ");CHKERRQ(ierr);}
469           ierr = PetscViewerASCIISynchronizedPrintf(viewer, "(%D_%d)", point, rank);CHKERRQ(ierr);
470           if (firstPoint < 0) firstPoint = point;
471         }
472         /* Why doesn't this work? ierr = PetscViewerASCIISynchronizedPrintf(viewer, " -- cycle;\n");CHKERRQ(ierr); */
473         ierr = PetscViewerASCIISynchronizedPrintf(viewer, " -- (%D_%d);\n", firstPoint, rank);CHKERRQ(ierr);
474         ierr = DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
475       }
476     }
477     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
478     ierr = PetscViewerASCIIPrintf(viewer, "\\end{tikzpicture}\n");CHKERRQ(ierr);
479     ierr = PetscViewerASCIIPrintf(viewer, "\\end{document}\n", name);CHKERRQ(ierr);
480     for (l = 0; l < numLabels;  ++l) {ierr = PetscFree(names[l]);CHKERRQ(ierr);}
481     for (c = 0; c < numColors;  ++c) {ierr = PetscFree(colors[c]);CHKERRQ(ierr);}
482     for (c = 0; c < numLColors; ++c) {ierr = PetscFree(lcolors[c]);CHKERRQ(ierr);}
483     ierr = PetscFree3(names, colors, lcolors);CHKERRQ(ierr);
484   } else {
485     MPI_Comm    comm;
486     PetscInt   *sizes, *hybsizes;
487     PetscInt    locDepth, depth, dim, d, pMax[4];
488     PetscInt    pStart, pEnd, p;
489     PetscInt    numLabels, l;
490     const char *name;
491     PetscMPIInt size;
492 
493     ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
494     ierr = MPI_Comm_size(comm, &size);CHKERRQ(ierr);
495     ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
496     ierr = PetscObjectGetName((PetscObject) dm, &name);CHKERRQ(ierr);
497     if (name) {ierr = PetscViewerASCIIPrintf(viewer, "%s in %D dimensions:\n", name, dim);CHKERRQ(ierr);}
498     else      {ierr = PetscViewerASCIIPrintf(viewer, "Mesh in %D dimensions:\n", dim);CHKERRQ(ierr);}
499     ierr = DMPlexGetDepth(dm, &locDepth);CHKERRQ(ierr);
500     ierr = MPI_Allreduce(&locDepth, &depth, 1, MPIU_INT, MPI_MAX, comm);CHKERRQ(ierr);
501     ierr = DMPlexGetHybridBounds(dm, &pMax[depth], depth > 0 ? &pMax[depth-1] : NULL, &pMax[1], &pMax[0]);CHKERRQ(ierr);
502     ierr = PetscMalloc2(size,&sizes,size,&hybsizes);CHKERRQ(ierr);
503     if (depth == 1) {
504       ierr = DMPlexGetDepthStratum(dm, 0, &pStart, &pEnd);CHKERRQ(ierr);
505       pEnd = pEnd - pStart;
506       ierr = MPI_Gather(&pEnd, 1, MPIU_INT, sizes, 1, MPIU_INT, 0, comm);CHKERRQ(ierr);
507       ierr = PetscViewerASCIIPrintf(viewer, "  %D-cells:", 0);CHKERRQ(ierr);
508       for (p = 0; p < size; ++p) {ierr = PetscViewerASCIIPrintf(viewer, " %D", sizes[p]);CHKERRQ(ierr);}
509       ierr = PetscViewerASCIIPrintf(viewer, "\n");CHKERRQ(ierr);
510       ierr = DMPlexGetHeightStratum(dm, 0, &pStart, &pEnd);CHKERRQ(ierr);
511       pEnd = pEnd - pStart;
512       ierr = MPI_Gather(&pEnd, 1, MPIU_INT, sizes, 1, MPIU_INT, 0, comm);CHKERRQ(ierr);
513       ierr = PetscViewerASCIIPrintf(viewer, "  %D-cells:", dim);CHKERRQ(ierr);
514       for (p = 0; p < size; ++p) {ierr = PetscViewerASCIIPrintf(viewer, " %D", sizes[p]);CHKERRQ(ierr);}
515       ierr = PetscViewerASCIIPrintf(viewer, "\n");CHKERRQ(ierr);
516     } else {
517       for (d = 0; d <= dim; d++) {
518         ierr = DMPlexGetDepthStratum(dm, d, &pStart, &pEnd);CHKERRQ(ierr);
519         pEnd    -= pStart;
520         pMax[d] -= pStart;
521         ierr = MPI_Gather(&pEnd, 1, MPIU_INT, sizes, 1, MPIU_INT, 0, comm);CHKERRQ(ierr);
522         ierr = MPI_Gather(&pMax[d], 1, MPIU_INT, hybsizes, 1, MPIU_INT, 0, comm);CHKERRQ(ierr);
523         ierr = PetscViewerASCIIPrintf(viewer, "  %D-cells:", d);CHKERRQ(ierr);
524         for (p = 0; p < size; ++p) {
525           if (hybsizes[p] >= 0) {ierr = PetscViewerASCIIPrintf(viewer, " %D (%D)", sizes[p], sizes[p] - hybsizes[p]);CHKERRQ(ierr);}
526           else                  {ierr = PetscViewerASCIIPrintf(viewer, " %D", sizes[p]);CHKERRQ(ierr);}
527         }
528         ierr = PetscViewerASCIIPrintf(viewer, "\n");CHKERRQ(ierr);
529       }
530     }
531     ierr = PetscFree2(sizes,hybsizes);CHKERRQ(ierr);
532     ierr = DMPlexGetNumLabels(dm, &numLabels);CHKERRQ(ierr);
533     if (numLabels) {ierr = PetscViewerASCIIPrintf(viewer, "Labels:\n");CHKERRQ(ierr);}
534     for (l = 0; l < numLabels; ++l) {
535       DMLabel         label;
536       const char     *name;
537       IS              valueIS;
538       const PetscInt *values;
539       PetscInt        numValues, v;
540 
541       ierr = DMPlexGetLabelName(dm, l, &name);CHKERRQ(ierr);
542       ierr = DMPlexGetLabel(dm, name, &label);CHKERRQ(ierr);
543       ierr = DMLabelGetNumValues(label, &numValues);CHKERRQ(ierr);
544       ierr = PetscViewerASCIIPrintf(viewer, "  %s: %d strata of sizes (", name, numValues);CHKERRQ(ierr);
545       ierr = DMLabelGetValueIS(label, &valueIS);CHKERRQ(ierr);
546       ierr = ISGetIndices(valueIS, &values);CHKERRQ(ierr);
547       for (v = 0; v < numValues; ++v) {
548         PetscInt size;
549 
550         ierr = DMLabelGetStratumSize(label, values[v], &size);CHKERRQ(ierr);
551         if (v > 0) {ierr = PetscViewerASCIIPrintf(viewer, ", ");CHKERRQ(ierr);}
552         ierr = PetscViewerASCIIPrintf(viewer, "%d", size);CHKERRQ(ierr);
553       }
554       ierr = PetscViewerASCIIPrintf(viewer, ")\n");CHKERRQ(ierr);
555       ierr = ISRestoreIndices(valueIS, &values);CHKERRQ(ierr);
556       ierr = ISDestroy(&valueIS);CHKERRQ(ierr);
557     }
558   }
559   PetscFunctionReturn(0);
560 }
561 
562 #undef __FUNCT__
563 #define __FUNCT__ "DMView_Plex"
564 PetscErrorCode DMView_Plex(DM dm, PetscViewer viewer)
565 {
566   PetscBool      iascii, ishdf5, isvtk;
567   PetscErrorCode ierr;
568 
569   PetscFunctionBegin;
570   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
571   PetscValidHeaderSpecific(viewer, PETSC_VIEWER_CLASSID, 2);
572   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERASCII, &iascii);CHKERRQ(ierr);
573   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERVTK,   &isvtk);CHKERRQ(ierr);
574   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERHDF5,  &ishdf5);CHKERRQ(ierr);
575   if (iascii) {
576     ierr = DMPlexView_Ascii(dm, viewer);CHKERRQ(ierr);
577   } else if (ishdf5) {
578 #if defined(PETSC_HAVE_HDF5)
579     ierr = PetscViewerPushFormat(viewer, PETSC_VIEWER_HDF5_VIZ);CHKERRQ(ierr);
580     ierr = DMPlexView_HDF5(dm, viewer);CHKERRQ(ierr);
581     ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
582 #else
583     SETERRQ(PetscObjectComm((PetscObject) dm), PETSC_ERR_SUP, "HDF5 not supported in this build.\nPlease reconfigure using --download-hdf5");
584 #endif
585   }
586   else if (isvtk) {
587     ierr = DMPlexVTKWriteAll((PetscObject) dm,viewer);CHKERRQ(ierr);
588   }
589   PetscFunctionReturn(0);
590 }
591 
592 #undef __FUNCT__
593 #define __FUNCT__ "DMLoad_Plex"
594 PetscErrorCode DMLoad_Plex(DM dm, PetscViewer viewer)
595 {
596   PetscBool      isbinary, ishdf5;
597   PetscErrorCode ierr;
598 
599   PetscFunctionBegin;
600   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
601   PetscValidHeaderSpecific(viewer, PETSC_VIEWER_CLASSID, 2);
602   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERBINARY, &isbinary);CHKERRQ(ierr);
603   ierr = PetscObjectTypeCompare((PetscObject) viewer, PETSCVIEWERHDF5,   &ishdf5);CHKERRQ(ierr);
604   if (isbinary) {SETERRQ(PetscObjectComm((PetscObject) dm), PETSC_ERR_SUP, "Do not yet support binary viewers");}
605   else if (ishdf5) {
606 #if defined(PETSC_HAVE_HDF5)
607     ierr = DMPlexLoad_HDF5(dm, viewer);CHKERRQ(ierr);
608 #else
609     SETERRQ(PetscObjectComm((PetscObject) dm), PETSC_ERR_SUP, "HDF5 not supported in this build.\nPlease reconfigure using --download-hdf5");
610 #endif
611   }
612   PetscFunctionReturn(0);
613 }
614 
615 #undef __FUNCT__
616 #define __FUNCT__ "BoundaryDestroy"
617 static PetscErrorCode BoundaryDestroy(DMBoundary *boundary)
618 {
619   DMBoundary     b, next;
620   PetscErrorCode ierr;
621 
622   PetscFunctionBegin;
623   if (!boundary) PetscFunctionReturn(0);
624   b = *boundary;
625   *boundary = NULL;
626   for (; b; b = next) {
627     next = b->next;
628     ierr = PetscFree(b->comps);CHKERRQ(ierr);
629     ierr = PetscFree(b->ids);CHKERRQ(ierr);
630     ierr = PetscFree(b->name);CHKERRQ(ierr);
631     ierr = PetscFree(b->labelname);CHKERRQ(ierr);
632     ierr = PetscFree(b);CHKERRQ(ierr);
633   }
634   PetscFunctionReturn(0);
635 }
636 
637 #undef __FUNCT__
638 #define __FUNCT__ "DMDestroy_Plex"
639 PetscErrorCode DMDestroy_Plex(DM dm)
640 {
641   DM_Plex       *mesh = (DM_Plex*) dm->data;
642   PlexLabel      next = mesh->labels;
643   PetscErrorCode ierr;
644 
645   PetscFunctionBegin;
646   if (--mesh->refct > 0) PetscFunctionReturn(0);
647   ierr = PetscSectionDestroy(&mesh->coneSection);CHKERRQ(ierr);
648   ierr = PetscFree(mesh->cones);CHKERRQ(ierr);
649   ierr = PetscFree(mesh->coneOrientations);CHKERRQ(ierr);
650   ierr = PetscSectionDestroy(&mesh->supportSection);CHKERRQ(ierr);
651   ierr = PetscFree(mesh->supports);CHKERRQ(ierr);
652   ierr = PetscFree(mesh->facesTmp);CHKERRQ(ierr);
653   ierr = PetscFree(mesh->tetgenOpts);CHKERRQ(ierr);
654   ierr = PetscFree(mesh->triangleOpts);CHKERRQ(ierr);
655   ierr = PetscPartitionerDestroy(&mesh->partitioner);CHKERRQ(ierr);
656   while (next) {
657     PlexLabel tmp = next->next;
658 
659     ierr = DMLabelDestroy(&next->label);CHKERRQ(ierr);
660     ierr = PetscFree(next);CHKERRQ(ierr);
661     next = tmp;
662   }
663   ierr = DMDestroy(&mesh->coarseMesh);CHKERRQ(ierr);
664   ierr = DMLabelDestroy(&mesh->subpointMap);CHKERRQ(ierr);
665   ierr = ISDestroy(&mesh->globalVertexNumbers);CHKERRQ(ierr);
666   ierr = ISDestroy(&mesh->globalCellNumbers);CHKERRQ(ierr);
667   ierr = BoundaryDestroy(&mesh->boundary);CHKERRQ(ierr);
668   ierr = PetscSectionDestroy(&mesh->anchorSection);CHKERRQ(ierr);
669   ierr = ISDestroy(&mesh->anchorIS);CHKERRQ(ierr);
670   ierr = PetscSectionDestroy(&mesh->parentSection);CHKERRQ(ierr);
671   ierr = PetscFree(mesh->parents);CHKERRQ(ierr);
672   ierr = PetscFree(mesh->childIDs);CHKERRQ(ierr);
673   ierr = PetscSectionDestroy(&mesh->childSection);CHKERRQ(ierr);
674   ierr = PetscFree(mesh->children);CHKERRQ(ierr);
675   ierr = DMDestroy(&mesh->referenceTree);CHKERRQ(ierr);
676   /* This was originally freed in DMDestroy(), but that prevents reference counting of backend objects */
677   ierr = PetscFree(mesh);CHKERRQ(ierr);
678   PetscFunctionReturn(0);
679 }
680 
681 #undef __FUNCT__
682 #define __FUNCT__ "DMCreateMatrix_Plex"
683 PetscErrorCode DMCreateMatrix_Plex(DM dm, Mat *J)
684 {
685   PetscSection   sectionGlobal;
686   PetscInt       bs = -1;
687   PetscInt       localSize;
688   PetscBool      isShell, isBlock, isSeqBlock, isMPIBlock, isSymBlock, isSymSeqBlock, isSymMPIBlock;
689   PetscErrorCode ierr;
690   MatType        mtype;
691   ISLocalToGlobalMapping ltog;
692 
693   PetscFunctionBegin;
694   ierr = MatInitializePackage();CHKERRQ(ierr);
695   mtype = dm->mattype;
696   ierr = DMGetDefaultGlobalSection(dm, &sectionGlobal);CHKERRQ(ierr);
697   /* ierr = PetscSectionGetStorageSize(sectionGlobal, &localSize);CHKERRQ(ierr); */
698   ierr = PetscSectionGetConstrainedStorageSize(sectionGlobal, &localSize);CHKERRQ(ierr);
699   ierr = MatCreate(PetscObjectComm((PetscObject)dm), J);CHKERRQ(ierr);
700   ierr = MatSetSizes(*J, localSize, localSize, PETSC_DETERMINE, PETSC_DETERMINE);CHKERRQ(ierr);
701   ierr = MatSetType(*J, mtype);CHKERRQ(ierr);
702   ierr = MatSetFromOptions(*J);CHKERRQ(ierr);
703   ierr = PetscStrcmp(mtype, MATSHELL, &isShell);CHKERRQ(ierr);
704   ierr = PetscStrcmp(mtype, MATBAIJ, &isBlock);CHKERRQ(ierr);
705   ierr = PetscStrcmp(mtype, MATSEQBAIJ, &isSeqBlock);CHKERRQ(ierr);
706   ierr = PetscStrcmp(mtype, MATMPIBAIJ, &isMPIBlock);CHKERRQ(ierr);
707   ierr = PetscStrcmp(mtype, MATSBAIJ, &isSymBlock);CHKERRQ(ierr);
708   ierr = PetscStrcmp(mtype, MATSEQSBAIJ, &isSymSeqBlock);CHKERRQ(ierr);
709   ierr = PetscStrcmp(mtype, MATMPISBAIJ, &isSymMPIBlock);CHKERRQ(ierr);
710   if (!isShell) {
711     PetscBool fillMatrix = (PetscBool) !dm->prealloc_only;
712     PetscInt *dnz, *onz, *dnzu, *onzu, bsLocal, bsMax, bsMin;
713 
714     if (bs < 0) {
715       if (isBlock || isSeqBlock || isMPIBlock || isSymBlock || isSymSeqBlock || isSymMPIBlock) {
716         PetscInt pStart, pEnd, p, dof, cdof;
717 
718         ierr = PetscSectionGetChart(sectionGlobal, &pStart, &pEnd);CHKERRQ(ierr);
719         for (p = pStart; p < pEnd; ++p) {
720           ierr = PetscSectionGetDof(sectionGlobal, p, &dof);CHKERRQ(ierr);
721           ierr = PetscSectionGetConstraintDof(sectionGlobal, p, &cdof);CHKERRQ(ierr);
722           if (dof-cdof) {
723             if (bs < 0) {
724               bs = dof-cdof;
725             } else if (bs != dof-cdof) {
726               /* Layout does not admit a pointwise block size */
727               bs = 1;
728               break;
729             }
730           }
731         }
732         /* Must have same blocksize on all procs (some might have no points) */
733         bsLocal = bs;
734         ierr = MPI_Allreduce(&bsLocal, &bsMax, 1, MPIU_INT, MPI_MAX, PetscObjectComm((PetscObject)dm));CHKERRQ(ierr);
735         bsLocal = bs < 0 ? bsMax : bs;
736         ierr = MPI_Allreduce(&bsLocal, &bsMin, 1, MPIU_INT, MPI_MIN, PetscObjectComm((PetscObject)dm));CHKERRQ(ierr);
737         if (bsMin != bsMax) {
738           bs = 1;
739         } else {
740           bs = bsMax;
741         }
742       } else {
743         bs = 1;
744       }
745     }
746     ierr = PetscCalloc4(localSize/bs, &dnz, localSize/bs, &onz, localSize/bs, &dnzu, localSize/bs, &onzu);CHKERRQ(ierr);
747     ierr = DMPlexPreallocateOperator(dm, bs, dnz, onz, dnzu, onzu, *J, fillMatrix);CHKERRQ(ierr);
748     ierr = PetscFree4(dnz, onz, dnzu, onzu);CHKERRQ(ierr);
749 
750     /* Set localtoglobalmapping on the matrix for MatSetValuesLocal() to work */
751     ierr = DMGetLocalToGlobalMapping(dm,&ltog);CHKERRQ(ierr);
752     ierr = MatSetLocalToGlobalMapping(*J,ltog,ltog);CHKERRQ(ierr);
753   }
754   PetscFunctionReturn(0);
755 }
756 
757 #undef __FUNCT__
758 #define __FUNCT__ "DMPlexGetChart"
759 /*@
760   DMPlexGetChart - Return the interval for all mesh points [pStart, pEnd)
761 
762   Not collective
763 
764   Input Parameter:
765 . mesh - The DMPlex
766 
767   Output Parameters:
768 + pStart - The first mesh point
769 - pEnd   - The upper bound for mesh points
770 
771   Level: beginner
772 
773 .seealso: DMPlexCreate(), DMPlexSetChart()
774 @*/
775 PetscErrorCode DMPlexGetChart(DM dm, PetscInt *pStart, PetscInt *pEnd)
776 {
777   DM_Plex       *mesh = (DM_Plex*) dm->data;
778   PetscErrorCode ierr;
779 
780   PetscFunctionBegin;
781   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
782   ierr = PetscSectionGetChart(mesh->coneSection, pStart, pEnd);CHKERRQ(ierr);
783   PetscFunctionReturn(0);
784 }
785 
786 #undef __FUNCT__
787 #define __FUNCT__ "DMPlexSetChart"
788 /*@
789   DMPlexSetChart - Set the interval for all mesh points [pStart, pEnd)
790 
791   Not collective
792 
793   Input Parameters:
794 + mesh - The DMPlex
795 . pStart - The first mesh point
796 - pEnd   - The upper bound for mesh points
797 
798   Output Parameters:
799 
800   Level: beginner
801 
802 .seealso: DMPlexCreate(), DMPlexGetChart()
803 @*/
804 PetscErrorCode DMPlexSetChart(DM dm, PetscInt pStart, PetscInt pEnd)
805 {
806   DM_Plex       *mesh = (DM_Plex*) dm->data;
807   PetscErrorCode ierr;
808 
809   PetscFunctionBegin;
810   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
811   ierr = PetscSectionSetChart(mesh->coneSection, pStart, pEnd);CHKERRQ(ierr);
812   ierr = PetscSectionSetChart(mesh->supportSection, pStart, pEnd);CHKERRQ(ierr);
813   PetscFunctionReturn(0);
814 }
815 
816 #undef __FUNCT__
817 #define __FUNCT__ "DMPlexGetConeSize"
818 /*@
819   DMPlexGetConeSize - Return the number of in-edges for this point in the Sieve DAG
820 
821   Not collective
822 
823   Input Parameters:
824 + mesh - The DMPlex
825 - p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
826 
827   Output Parameter:
828 . size - The cone size for point p
829 
830   Level: beginner
831 
832 .seealso: DMPlexCreate(), DMPlexSetConeSize(), DMPlexSetChart()
833 @*/
834 PetscErrorCode DMPlexGetConeSize(DM dm, PetscInt p, PetscInt *size)
835 {
836   DM_Plex       *mesh = (DM_Plex*) dm->data;
837   PetscErrorCode ierr;
838 
839   PetscFunctionBegin;
840   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
841   PetscValidPointer(size, 3);
842   ierr = PetscSectionGetDof(mesh->coneSection, p, size);CHKERRQ(ierr);
843   PetscFunctionReturn(0);
844 }
845 
846 #undef __FUNCT__
847 #define __FUNCT__ "DMPlexSetConeSize"
848 /*@
849   DMPlexSetConeSize - Set the number of in-edges for this point in the Sieve DAG
850 
851   Not collective
852 
853   Input Parameters:
854 + mesh - The DMPlex
855 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
856 - size - The cone size for point p
857 
858   Output Parameter:
859 
860   Note:
861   This should be called after DMPlexSetChart().
862 
863   Level: beginner
864 
865 .seealso: DMPlexCreate(), DMPlexGetConeSize(), DMPlexSetChart()
866 @*/
867 PetscErrorCode DMPlexSetConeSize(DM dm, PetscInt p, PetscInt size)
868 {
869   DM_Plex       *mesh = (DM_Plex*) dm->data;
870   PetscErrorCode ierr;
871 
872   PetscFunctionBegin;
873   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
874   ierr = PetscSectionSetDof(mesh->coneSection, p, size);CHKERRQ(ierr);
875 
876   mesh->maxConeSize = PetscMax(mesh->maxConeSize, size);
877   PetscFunctionReturn(0);
878 }
879 
880 #undef __FUNCT__
881 #define __FUNCT__ "DMPlexAddConeSize"
882 /*@
883   DMPlexAddConeSize - Add the given number of in-edges to this point in the Sieve DAG
884 
885   Not collective
886 
887   Input Parameters:
888 + mesh - The DMPlex
889 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
890 - size - The additional cone size for point p
891 
892   Output Parameter:
893 
894   Note:
895   This should be called after DMPlexSetChart().
896 
897   Level: beginner
898 
899 .seealso: DMPlexCreate(), DMPlexSetConeSize(), DMPlexGetConeSize(), DMPlexSetChart()
900 @*/
901 PetscErrorCode DMPlexAddConeSize(DM dm, PetscInt p, PetscInt size)
902 {
903   DM_Plex       *mesh = (DM_Plex*) dm->data;
904   PetscInt       csize;
905   PetscErrorCode ierr;
906 
907   PetscFunctionBegin;
908   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
909   ierr = PetscSectionAddDof(mesh->coneSection, p, size);CHKERRQ(ierr);
910   ierr = PetscSectionGetDof(mesh->coneSection, p, &csize);CHKERRQ(ierr);
911 
912   mesh->maxConeSize = PetscMax(mesh->maxConeSize, csize);
913   PetscFunctionReturn(0);
914 }
915 
916 #undef __FUNCT__
917 #define __FUNCT__ "DMPlexGetCone"
918 /*@C
919   DMPlexGetCone - Return the points on the in-edges for this point in the Sieve DAG
920 
921   Not collective
922 
923   Input Parameters:
924 + mesh - The DMPlex
925 - p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
926 
927   Output Parameter:
928 . cone - An array of points which are on the in-edges for point p
929 
930   Level: beginner
931 
932   Fortran Notes:
933   Since it returns an array, this routine is only available in Fortran 90, and you must
934   include petsc.h90 in your code.
935 
936   You must also call DMPlexRestoreCone() after you finish using the returned array.
937 
938 .seealso: DMPlexCreate(), DMPlexSetCone(), DMPlexSetChart()
939 @*/
940 PetscErrorCode DMPlexGetCone(DM dm, PetscInt p, const PetscInt *cone[])
941 {
942   DM_Plex       *mesh = (DM_Plex*) dm->data;
943   PetscInt       off;
944   PetscErrorCode ierr;
945 
946   PetscFunctionBegin;
947   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
948   PetscValidPointer(cone, 3);
949   ierr  = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
950   *cone = &mesh->cones[off];
951   PetscFunctionReturn(0);
952 }
953 
954 #undef __FUNCT__
955 #define __FUNCT__ "DMPlexSetCone"
956 /*@
957   DMPlexSetCone - Set the points on the in-edges for this point in the Sieve DAG
958 
959   Not collective
960 
961   Input Parameters:
962 + mesh - The DMPlex
963 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
964 - cone - An array of points which are on the in-edges for point p
965 
966   Output Parameter:
967 
968   Note:
969   This should be called after all calls to DMPlexSetConeSize() and DMSetUp().
970 
971   Level: beginner
972 
973 .seealso: DMPlexCreate(), DMPlexGetCone(), DMPlexSetChart(), DMPlexSetConeSize(), DMSetUp()
974 @*/
975 PetscErrorCode DMPlexSetCone(DM dm, PetscInt p, const PetscInt cone[])
976 {
977   DM_Plex       *mesh = (DM_Plex*) dm->data;
978   PetscInt       pStart, pEnd;
979   PetscInt       dof, off, c;
980   PetscErrorCode ierr;
981 
982   PetscFunctionBegin;
983   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
984   ierr = PetscSectionGetChart(mesh->coneSection, &pStart, &pEnd);CHKERRQ(ierr);
985   ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
986   if (dof) PetscValidPointer(cone, 3);
987   ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
988   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);
989   for (c = 0; c < dof; ++c) {
990     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);
991     mesh->cones[off+c] = cone[c];
992   }
993   PetscFunctionReturn(0);
994 }
995 
996 #undef __FUNCT__
997 #define __FUNCT__ "DMPlexGetConeOrientation"
998 /*@C
999   DMPlexGetConeOrientation - Return the orientations on the in-edges for this point in the Sieve DAG
1000 
1001   Not collective
1002 
1003   Input Parameters:
1004 + mesh - The DMPlex
1005 - p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
1006 
1007   Output Parameter:
1008 . coneOrientation - An array of orientations which are on the in-edges for point p. An orientation is an
1009                     integer giving the prescription for cone traversal. If it is negative, the cone is
1010                     traversed in the opposite direction. Its value 'o', or if negative '-(o+1)', gives
1011                     the index of the cone point on which to start.
1012 
1013   Level: beginner
1014 
1015   Fortran Notes:
1016   Since it returns an array, this routine is only available in Fortran 90, and you must
1017   include petsc.h90 in your code.
1018 
1019   You must also call DMPlexRestoreConeOrientation() after you finish using the returned array.
1020 
1021 .seealso: DMPlexCreate(), DMPlexGetCone(), DMPlexSetCone(), DMPlexSetChart()
1022 @*/
1023 PetscErrorCode DMPlexGetConeOrientation(DM dm, PetscInt p, const PetscInt *coneOrientation[])
1024 {
1025   DM_Plex       *mesh = (DM_Plex*) dm->data;
1026   PetscInt       off;
1027   PetscErrorCode ierr;
1028 
1029   PetscFunctionBegin;
1030   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1031 #if defined(PETSC_USE_DEBUG)
1032   {
1033     PetscInt dof;
1034     ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
1035     if (dof) PetscValidPointer(coneOrientation, 3);
1036   }
1037 #endif
1038   ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
1039 
1040   *coneOrientation = &mesh->coneOrientations[off];
1041   PetscFunctionReturn(0);
1042 }
1043 
1044 #undef __FUNCT__
1045 #define __FUNCT__ "DMPlexSetConeOrientation"
1046 /*@
1047   DMPlexSetConeOrientation - Set the orientations on the in-edges for this point in the Sieve DAG
1048 
1049   Not collective
1050 
1051   Input Parameters:
1052 + mesh - The DMPlex
1053 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
1054 - coneOrientation - An array of orientations which are on the in-edges for point p. An orientation is an
1055                     integer giving the prescription for cone traversal. If it is negative, the cone is
1056                     traversed in the opposite direction. Its value 'o', or if negative '-(o+1)', gives
1057                     the index of the cone point on which to start.
1058 
1059   Output Parameter:
1060 
1061   Note:
1062   This should be called after all calls to DMPlexSetConeSize() and DMSetUp().
1063 
1064   Level: beginner
1065 
1066 .seealso: DMPlexCreate(), DMPlexGetConeOrientation(), DMPlexSetCone(), DMPlexSetChart(), DMPlexSetConeSize(), DMSetUp()
1067 @*/
1068 PetscErrorCode DMPlexSetConeOrientation(DM dm, PetscInt p, const PetscInt coneOrientation[])
1069 {
1070   DM_Plex       *mesh = (DM_Plex*) dm->data;
1071   PetscInt       pStart, pEnd;
1072   PetscInt       dof, off, c;
1073   PetscErrorCode ierr;
1074 
1075   PetscFunctionBegin;
1076   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1077   ierr = PetscSectionGetChart(mesh->coneSection, &pStart, &pEnd);CHKERRQ(ierr);
1078   ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
1079   if (dof) PetscValidPointer(coneOrientation, 3);
1080   ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
1081   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);
1082   for (c = 0; c < dof; ++c) {
1083     PetscInt cdof, o = coneOrientation[c];
1084 
1085     ierr = PetscSectionGetDof(mesh->coneSection, mesh->cones[off+c], &cdof);CHKERRQ(ierr);
1086     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);
1087     mesh->coneOrientations[off+c] = o;
1088   }
1089   PetscFunctionReturn(0);
1090 }
1091 
1092 #undef __FUNCT__
1093 #define __FUNCT__ "DMPlexInsertCone"
1094 PetscErrorCode DMPlexInsertCone(DM dm, PetscInt p, PetscInt conePos, PetscInt conePoint)
1095 {
1096   DM_Plex       *mesh = (DM_Plex*) dm->data;
1097   PetscInt       pStart, pEnd;
1098   PetscInt       dof, off;
1099   PetscErrorCode ierr;
1100 
1101   PetscFunctionBegin;
1102   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1103   ierr = PetscSectionGetChart(mesh->coneSection, &pStart, &pEnd);CHKERRQ(ierr);
1104   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);
1105   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);
1106   ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
1107   ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
1108   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);
1109   mesh->cones[off+conePos] = conePoint;
1110   PetscFunctionReturn(0);
1111 }
1112 
1113 #undef __FUNCT__
1114 #define __FUNCT__ "DMPlexInsertConeOrientation"
1115 PetscErrorCode DMPlexInsertConeOrientation(DM dm, PetscInt p, PetscInt conePos, PetscInt coneOrientation)
1116 {
1117   DM_Plex       *mesh = (DM_Plex*) dm->data;
1118   PetscInt       pStart, pEnd;
1119   PetscInt       dof, off;
1120   PetscErrorCode ierr;
1121 
1122   PetscFunctionBegin;
1123   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1124   ierr = PetscSectionGetChart(mesh->coneSection, &pStart, &pEnd);CHKERRQ(ierr);
1125   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);
1126   ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
1127   ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
1128   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);
1129   mesh->coneOrientations[off+conePos] = coneOrientation;
1130   PetscFunctionReturn(0);
1131 }
1132 
1133 #undef __FUNCT__
1134 #define __FUNCT__ "DMPlexGetSupportSize"
1135 /*@
1136   DMPlexGetSupportSize - Return the number of out-edges for this point in the Sieve DAG
1137 
1138   Not collective
1139 
1140   Input Parameters:
1141 + mesh - The DMPlex
1142 - p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
1143 
1144   Output Parameter:
1145 . size - The support size for point p
1146 
1147   Level: beginner
1148 
1149 .seealso: DMPlexCreate(), DMPlexSetConeSize(), DMPlexSetChart(), DMPlexGetConeSize()
1150 @*/
1151 PetscErrorCode DMPlexGetSupportSize(DM dm, PetscInt p, PetscInt *size)
1152 {
1153   DM_Plex       *mesh = (DM_Plex*) dm->data;
1154   PetscErrorCode ierr;
1155 
1156   PetscFunctionBegin;
1157   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1158   PetscValidPointer(size, 3);
1159   ierr = PetscSectionGetDof(mesh->supportSection, p, size);CHKERRQ(ierr);
1160   PetscFunctionReturn(0);
1161 }
1162 
1163 #undef __FUNCT__
1164 #define __FUNCT__ "DMPlexSetSupportSize"
1165 /*@
1166   DMPlexSetSupportSize - Set the number of out-edges for this point in the Sieve DAG
1167 
1168   Not collective
1169 
1170   Input Parameters:
1171 + mesh - The DMPlex
1172 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
1173 - size - The support size for point p
1174 
1175   Output Parameter:
1176 
1177   Note:
1178   This should be called after DMPlexSetChart().
1179 
1180   Level: beginner
1181 
1182 .seealso: DMPlexCreate(), DMPlexGetSupportSize(), DMPlexSetChart()
1183 @*/
1184 PetscErrorCode DMPlexSetSupportSize(DM dm, PetscInt p, PetscInt size)
1185 {
1186   DM_Plex       *mesh = (DM_Plex*) dm->data;
1187   PetscErrorCode ierr;
1188 
1189   PetscFunctionBegin;
1190   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1191   ierr = PetscSectionSetDof(mesh->supportSection, p, size);CHKERRQ(ierr);
1192 
1193   mesh->maxSupportSize = PetscMax(mesh->maxSupportSize, size);
1194   PetscFunctionReturn(0);
1195 }
1196 
1197 #undef __FUNCT__
1198 #define __FUNCT__ "DMPlexGetSupport"
1199 /*@C
1200   DMPlexGetSupport - Return the points on the out-edges for this point in the Sieve DAG
1201 
1202   Not collective
1203 
1204   Input Parameters:
1205 + mesh - The DMPlex
1206 - p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
1207 
1208   Output Parameter:
1209 . support - An array of points which are on the out-edges for point p
1210 
1211   Level: beginner
1212 
1213   Fortran Notes:
1214   Since it returns an array, this routine is only available in Fortran 90, and you must
1215   include petsc.h90 in your code.
1216 
1217   You must also call DMPlexRestoreSupport() after you finish using the returned array.
1218 
1219 .seealso: DMPlexCreate(), DMPlexSetCone(), DMPlexSetChart(), DMPlexGetCone()
1220 @*/
1221 PetscErrorCode DMPlexGetSupport(DM dm, PetscInt p, const PetscInt *support[])
1222 {
1223   DM_Plex       *mesh = (DM_Plex*) dm->data;
1224   PetscInt       off;
1225   PetscErrorCode ierr;
1226 
1227   PetscFunctionBegin;
1228   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1229   PetscValidPointer(support, 3);
1230   ierr     = PetscSectionGetOffset(mesh->supportSection, p, &off);CHKERRQ(ierr);
1231   *support = &mesh->supports[off];
1232   PetscFunctionReturn(0);
1233 }
1234 
1235 #undef __FUNCT__
1236 #define __FUNCT__ "DMPlexSetSupport"
1237 /*@
1238   DMPlexSetSupport - Set the points on the 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 - support - An array of points which are on the in-edges for point p
1246 
1247   Output Parameter:
1248 
1249   Note:
1250   This should be called after all calls to DMPlexSetSupportSize() and DMSetUp().
1251 
1252   Level: beginner
1253 
1254 .seealso: DMPlexCreate(), DMPlexGetSupport(), DMPlexSetChart(), DMPlexSetSupportSize(), DMSetUp()
1255 @*/
1256 PetscErrorCode DMPlexSetSupport(DM dm, PetscInt p, const PetscInt support[])
1257 {
1258   DM_Plex       *mesh = (DM_Plex*) dm->data;
1259   PetscInt       pStart, pEnd;
1260   PetscInt       dof, off, c;
1261   PetscErrorCode ierr;
1262 
1263   PetscFunctionBegin;
1264   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1265   ierr = PetscSectionGetChart(mesh->supportSection, &pStart, &pEnd);CHKERRQ(ierr);
1266   ierr = PetscSectionGetDof(mesh->supportSection, p, &dof);CHKERRQ(ierr);
1267   if (dof) PetscValidPointer(support, 3);
1268   ierr = PetscSectionGetOffset(mesh->supportSection, p, &off);CHKERRQ(ierr);
1269   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);
1270   for (c = 0; c < dof; ++c) {
1271     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);
1272     mesh->supports[off+c] = support[c];
1273   }
1274   PetscFunctionReturn(0);
1275 }
1276 
1277 #undef __FUNCT__
1278 #define __FUNCT__ "DMPlexInsertSupport"
1279 PetscErrorCode DMPlexInsertSupport(DM dm, PetscInt p, PetscInt supportPos, PetscInt supportPoint)
1280 {
1281   DM_Plex       *mesh = (DM_Plex*) dm->data;
1282   PetscInt       pStart, pEnd;
1283   PetscInt       dof, off;
1284   PetscErrorCode ierr;
1285 
1286   PetscFunctionBegin;
1287   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1288   ierr = PetscSectionGetChart(mesh->supportSection, &pStart, &pEnd);CHKERRQ(ierr);
1289   ierr = PetscSectionGetDof(mesh->supportSection, p, &dof);CHKERRQ(ierr);
1290   ierr = PetscSectionGetOffset(mesh->supportSection, p, &off);CHKERRQ(ierr);
1291   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);
1292   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);
1293   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);
1294   mesh->supports[off+supportPos] = supportPoint;
1295   PetscFunctionReturn(0);
1296 }
1297 
1298 #undef __FUNCT__
1299 #define __FUNCT__ "DMPlexGetTransitiveClosure"
1300 /*@C
1301   DMPlexGetTransitiveClosure - Return the points on the transitive closure of the in-edges or out-edges for this point in the Sieve DAG
1302 
1303   Not collective
1304 
1305   Input Parameters:
1306 + mesh - The DMPlex
1307 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
1308 . useCone - PETSC_TRUE for in-edges,  otherwise use out-edges
1309 - points - If points is NULL on input, internal storage will be returned, otherwise the provided array is used
1310 
1311   Output Parameters:
1312 + numPoints - The number of points in the closure, so points[] is of size 2*numPoints
1313 - points - The points and point orientations, interleaved as pairs [p0, o0, p1, o1, ...]
1314 
1315   Note:
1316   If using internal storage (points is NULL on input), each call overwrites the last output.
1317 
1318   Fortran Notes:
1319   Since it returns an array, this routine is only available in Fortran 90, and you must
1320   include petsc.h90 in your code.
1321 
1322   The numPoints argument is not present in the Fortran 90 binding since it is internal to the array.
1323 
1324   Level: beginner
1325 
1326 .seealso: DMPlexRestoreTransitiveClosure(), DMPlexCreate(), DMPlexSetCone(), DMPlexSetChart(), DMPlexGetCone()
1327 @*/
1328 PetscErrorCode DMPlexGetTransitiveClosure(DM dm, PetscInt p, PetscBool useCone, PetscInt *numPoints, PetscInt *points[])
1329 {
1330   DM_Plex        *mesh = (DM_Plex*) dm->data;
1331   PetscInt       *closure, *fifo;
1332   const PetscInt *tmp = NULL, *tmpO = NULL;
1333   PetscInt        tmpSize, t;
1334   PetscInt        depth       = 0, maxSize;
1335   PetscInt        closureSize = 2, fifoSize = 0, fifoStart = 0;
1336   PetscErrorCode  ierr;
1337 
1338   PetscFunctionBegin;
1339   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1340   ierr    = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
1341   /* This is only 1-level */
1342   if (useCone) {
1343     ierr = DMPlexGetConeSize(dm, p, &tmpSize);CHKERRQ(ierr);
1344     ierr = DMPlexGetCone(dm, p, &tmp);CHKERRQ(ierr);
1345     ierr = DMPlexGetConeOrientation(dm, p, &tmpO);CHKERRQ(ierr);
1346   } else {
1347     ierr = DMPlexGetSupportSize(dm, p, &tmpSize);CHKERRQ(ierr);
1348     ierr = DMPlexGetSupport(dm, p, &tmp);CHKERRQ(ierr);
1349   }
1350   if (depth == 1) {
1351     if (*points) {
1352       closure = *points;
1353     } else {
1354       maxSize = 2*(PetscMax(mesh->maxConeSize, mesh->maxSupportSize)+1);
1355       ierr = DMGetWorkArray(dm, maxSize, PETSC_INT, &closure);CHKERRQ(ierr);
1356     }
1357     closure[0] = p; closure[1] = 0;
1358     for (t = 0; t < tmpSize; ++t, closureSize += 2) {
1359       closure[closureSize]   = tmp[t];
1360       closure[closureSize+1] = tmpO ? tmpO[t] : 0;
1361     }
1362     if (numPoints) *numPoints = closureSize/2;
1363     if (points)    *points    = closure;
1364     PetscFunctionReturn(0);
1365   }
1366   {
1367     PetscInt c, coneSeries, s,supportSeries;
1368 
1369     c = mesh->maxConeSize;
1370     coneSeries = (c > 1) ? ((PetscPowInt(c,depth+1)-1)/(c-1)) : depth+1;
1371     s = mesh->maxSupportSize;
1372     supportSeries = (s > 1) ? ((PetscPowInt(s,depth+1)-1)/(s-1)) : depth+1;
1373     maxSize = 2*PetscMax(coneSeries,supportSeries);
1374   }
1375   ierr    = DMGetWorkArray(dm, maxSize, PETSC_INT, &fifo);CHKERRQ(ierr);
1376   if (*points) {
1377     closure = *points;
1378   } else {
1379     ierr = DMGetWorkArray(dm, maxSize, PETSC_INT, &closure);CHKERRQ(ierr);
1380   }
1381   closure[0] = p; closure[1] = 0;
1382   for (t = 0; t < tmpSize; ++t, closureSize += 2, fifoSize += 2) {
1383     const PetscInt cp = tmp[t];
1384     const PetscInt co = tmpO ? tmpO[t] : 0;
1385 
1386     closure[closureSize]   = cp;
1387     closure[closureSize+1] = co;
1388     fifo[fifoSize]         = cp;
1389     fifo[fifoSize+1]       = co;
1390   }
1391   /* Should kick out early when depth is reached, rather than checking all vertices for empty cones */
1392   while (fifoSize - fifoStart) {
1393     const PetscInt q   = fifo[fifoStart];
1394     const PetscInt o   = fifo[fifoStart+1];
1395     const PetscInt rev = o >= 0 ? 0 : 1;
1396     const PetscInt off = rev ? -(o+1) : o;
1397 
1398     if (useCone) {
1399       ierr = DMPlexGetConeSize(dm, q, &tmpSize);CHKERRQ(ierr);
1400       ierr = DMPlexGetCone(dm, q, &tmp);CHKERRQ(ierr);
1401       ierr = DMPlexGetConeOrientation(dm, q, &tmpO);CHKERRQ(ierr);
1402     } else {
1403       ierr = DMPlexGetSupportSize(dm, q, &tmpSize);CHKERRQ(ierr);
1404       ierr = DMPlexGetSupport(dm, q, &tmp);CHKERRQ(ierr);
1405       tmpO = NULL;
1406     }
1407     for (t = 0; t < tmpSize; ++t) {
1408       const PetscInt i  = ((rev ? tmpSize-t : t) + off)%tmpSize;
1409       const PetscInt cp = tmp[i];
1410       /* Must propogate orientation: When we reverse orientation, we both reverse the direction of iteration and start at the other end of the chain. */
1411       /* HACK: It is worse to get the size here, than to change the interpretation of -(*+1)
1412        const PetscInt co = tmpO ? (rev ? -(tmpO[i]+1) : tmpO[i]) : 0; */
1413       PetscInt       co = tmpO ? tmpO[i] : 0;
1414       PetscInt       c;
1415 
1416       if (rev) {
1417         PetscInt childSize, coff;
1418         ierr = DMPlexGetConeSize(dm, cp, &childSize);CHKERRQ(ierr);
1419         coff = tmpO[i] < 0 ? -(tmpO[i]+1) : tmpO[i];
1420         co   = childSize ? -(((coff+childSize-1)%childSize)+1) : 0;
1421       }
1422       /* Check for duplicate */
1423       for (c = 0; c < closureSize; c += 2) {
1424         if (closure[c] == cp) break;
1425       }
1426       if (c == closureSize) {
1427         closure[closureSize]   = cp;
1428         closure[closureSize+1] = co;
1429         fifo[fifoSize]         = cp;
1430         fifo[fifoSize+1]       = co;
1431         closureSize           += 2;
1432         fifoSize              += 2;
1433       }
1434     }
1435     fifoStart += 2;
1436   }
1437   if (numPoints) *numPoints = closureSize/2;
1438   if (points)    *points    = closure;
1439   ierr = DMRestoreWorkArray(dm, maxSize, PETSC_INT, &fifo);CHKERRQ(ierr);
1440   PetscFunctionReturn(0);
1441 }
1442 
1443 #undef __FUNCT__
1444 #define __FUNCT__ "DMPlexGetTransitiveClosure_Internal"
1445 /*@C
1446   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
1447 
1448   Not collective
1449 
1450   Input Parameters:
1451 + mesh - The DMPlex
1452 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
1453 . orientation - The orientation of the point
1454 . useCone - PETSC_TRUE for in-edges,  otherwise use out-edges
1455 - points - If points is NULL on input, internal storage will be returned, otherwise the provided array is used
1456 
1457   Output Parameters:
1458 + numPoints - The number of points in the closure, so points[] is of size 2*numPoints
1459 - points - The points and point orientations, interleaved as pairs [p0, o0, p1, o1, ...]
1460 
1461   Note:
1462   If using internal storage (points is NULL on input), each call overwrites the last output.
1463 
1464   Fortran Notes:
1465   Since it returns an array, this routine is only available in Fortran 90, and you must
1466   include petsc.h90 in your code.
1467 
1468   The numPoints argument is not present in the Fortran 90 binding since it is internal to the array.
1469 
1470   Level: beginner
1471 
1472 .seealso: DMPlexRestoreTransitiveClosure(), DMPlexCreate(), DMPlexSetCone(), DMPlexSetChart(), DMPlexGetCone()
1473 @*/
1474 PetscErrorCode DMPlexGetTransitiveClosure_Internal(DM dm, PetscInt p, PetscInt ornt, PetscBool useCone, PetscInt *numPoints, PetscInt *points[])
1475 {
1476   DM_Plex        *mesh = (DM_Plex*) dm->data;
1477   PetscInt       *closure, *fifo;
1478   const PetscInt *tmp = NULL, *tmpO = NULL;
1479   PetscInt        tmpSize, t;
1480   PetscInt        depth       = 0, maxSize;
1481   PetscInt        closureSize = 2, fifoSize = 0, fifoStart = 0;
1482   PetscErrorCode  ierr;
1483 
1484   PetscFunctionBegin;
1485   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1486   ierr    = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
1487   /* This is only 1-level */
1488   if (useCone) {
1489     ierr = DMPlexGetConeSize(dm, p, &tmpSize);CHKERRQ(ierr);
1490     ierr = DMPlexGetCone(dm, p, &tmp);CHKERRQ(ierr);
1491     ierr = DMPlexGetConeOrientation(dm, p, &tmpO);CHKERRQ(ierr);
1492   } else {
1493     ierr = DMPlexGetSupportSize(dm, p, &tmpSize);CHKERRQ(ierr);
1494     ierr = DMPlexGetSupport(dm, p, &tmp);CHKERRQ(ierr);
1495   }
1496   if (depth == 1) {
1497     if (*points) {
1498       closure = *points;
1499     } else {
1500       maxSize = 2*(PetscMax(mesh->maxConeSize, mesh->maxSupportSize)+1);
1501       ierr = DMGetWorkArray(dm, maxSize, PETSC_INT, &closure);CHKERRQ(ierr);
1502     }
1503     closure[0] = p; closure[1] = ornt;
1504     for (t = 0; t < tmpSize; ++t, closureSize += 2) {
1505       const PetscInt i = ornt >= 0 ? (t+ornt)%tmpSize : (-(ornt+1) + tmpSize-t)%tmpSize;
1506       closure[closureSize]   = tmp[i];
1507       closure[closureSize+1] = tmpO ? tmpO[i] : 0;
1508     }
1509     if (numPoints) *numPoints = closureSize/2;
1510     if (points)    *points    = closure;
1511     PetscFunctionReturn(0);
1512   }
1513   {
1514     PetscInt c, coneSeries, s,supportSeries;
1515 
1516     c = mesh->maxConeSize;
1517     coneSeries = (c > 1) ? ((PetscPowInt(c,depth+1)-1)/(c-1)) : depth+1;
1518     s = mesh->maxSupportSize;
1519     supportSeries = (s > 1) ? ((PetscPowInt(s,depth+1)-1)/(s-1)) : depth+1;
1520     maxSize = 2*PetscMax(coneSeries,supportSeries);
1521   }
1522   ierr    = DMGetWorkArray(dm, maxSize, PETSC_INT, &fifo);CHKERRQ(ierr);
1523   if (*points) {
1524     closure = *points;
1525   } else {
1526     ierr = DMGetWorkArray(dm, maxSize, PETSC_INT, &closure);CHKERRQ(ierr);
1527   }
1528   closure[0] = p; closure[1] = ornt;
1529   for (t = 0; t < tmpSize; ++t, closureSize += 2, fifoSize += 2) {
1530     const PetscInt i  = ornt >= 0 ? (t+ornt)%tmpSize : (-(ornt+1) + tmpSize-t)%tmpSize;
1531     const PetscInt cp = tmp[i];
1532     PetscInt       co = tmpO ? tmpO[i] : 0;
1533 
1534     if (ornt < 0) {
1535       PetscInt childSize, coff;
1536       ierr = DMPlexGetConeSize(dm, cp, &childSize);CHKERRQ(ierr);
1537       coff = tmpO[i] < 0 ? -(tmpO[i]+1) : tmpO[i];
1538       co   = childSize ? -(((coff+childSize-1)%childSize)+1) : 0;
1539     }
1540     closure[closureSize]   = cp;
1541     closure[closureSize+1] = co;
1542     fifo[fifoSize]         = cp;
1543     fifo[fifoSize+1]       = co;
1544   }
1545   /* Should kick out early when depth is reached, rather than checking all vertices for empty cones */
1546   while (fifoSize - fifoStart) {
1547     const PetscInt q   = fifo[fifoStart];
1548     const PetscInt o   = fifo[fifoStart+1];
1549     const PetscInt rev = o >= 0 ? 0 : 1;
1550     const PetscInt off = rev ? -(o+1) : o;
1551 
1552     if (useCone) {
1553       ierr = DMPlexGetConeSize(dm, q, &tmpSize);CHKERRQ(ierr);
1554       ierr = DMPlexGetCone(dm, q, &tmp);CHKERRQ(ierr);
1555       ierr = DMPlexGetConeOrientation(dm, q, &tmpO);CHKERRQ(ierr);
1556     } else {
1557       ierr = DMPlexGetSupportSize(dm, q, &tmpSize);CHKERRQ(ierr);
1558       ierr = DMPlexGetSupport(dm, q, &tmp);CHKERRQ(ierr);
1559       tmpO = NULL;
1560     }
1561     for (t = 0; t < tmpSize; ++t) {
1562       const PetscInt i  = ((rev ? tmpSize-t : t) + off)%tmpSize;
1563       const PetscInt cp = tmp[i];
1564       /* Must propogate orientation: When we reverse orientation, we both reverse the direction of iteration and start at the other end of the chain. */
1565       /* HACK: It is worse to get the size here, than to change the interpretation of -(*+1)
1566        const PetscInt co = tmpO ? (rev ? -(tmpO[i]+1) : tmpO[i]) : 0; */
1567       PetscInt       co = tmpO ? tmpO[i] : 0;
1568       PetscInt       c;
1569 
1570       if (rev) {
1571         PetscInt childSize, coff;
1572         ierr = DMPlexGetConeSize(dm, cp, &childSize);CHKERRQ(ierr);
1573         coff = tmpO[i] < 0 ? -(tmpO[i]+1) : tmpO[i];
1574         co   = childSize ? -(((coff+childSize-1)%childSize)+1) : 0;
1575       }
1576       /* Check for duplicate */
1577       for (c = 0; c < closureSize; c += 2) {
1578         if (closure[c] == cp) break;
1579       }
1580       if (c == closureSize) {
1581         closure[closureSize]   = cp;
1582         closure[closureSize+1] = co;
1583         fifo[fifoSize]         = cp;
1584         fifo[fifoSize+1]       = co;
1585         closureSize           += 2;
1586         fifoSize              += 2;
1587       }
1588     }
1589     fifoStart += 2;
1590   }
1591   if (numPoints) *numPoints = closureSize/2;
1592   if (points)    *points    = closure;
1593   ierr = DMRestoreWorkArray(dm, maxSize, PETSC_INT, &fifo);CHKERRQ(ierr);
1594   PetscFunctionReturn(0);
1595 }
1596 
1597 #undef __FUNCT__
1598 #define __FUNCT__ "DMPlexRestoreTransitiveClosure"
1599 /*@C
1600   DMPlexRestoreTransitiveClosure - Restore the array of points on the transitive closure of the in-edges or out-edges for this point in the Sieve DAG
1601 
1602   Not collective
1603 
1604   Input Parameters:
1605 + mesh - The DMPlex
1606 . p - The Sieve point, which must lie in the chart set with DMPlexSetChart()
1607 . useCone - PETSC_TRUE for in-edges,  otherwise use out-edges
1608 . numPoints - The number of points in the closure, so points[] is of size 2*numPoints, zeroed on exit
1609 - points - The points and point orientations, interleaved as pairs [p0, o0, p1, o1, ...], zeroed on exit
1610 
1611   Note:
1612   If not using internal storage (points is not NULL on input), this call is unnecessary
1613 
1614   Fortran Notes:
1615   Since it returns an array, this routine is only available in Fortran 90, and you must
1616   include petsc.h90 in your code.
1617 
1618   The numPoints argument is not present in the Fortran 90 binding since it is internal to the array.
1619 
1620   Level: beginner
1621 
1622 .seealso: DMPlexGetTransitiveClosure(), DMPlexCreate(), DMPlexSetCone(), DMPlexSetChart(), DMPlexGetCone()
1623 @*/
1624 PetscErrorCode DMPlexRestoreTransitiveClosure(DM dm, PetscInt p, PetscBool useCone, PetscInt *numPoints, PetscInt *points[])
1625 {
1626   PetscErrorCode ierr;
1627 
1628   PetscFunctionBegin;
1629   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1630   if (numPoints) PetscValidIntPointer(numPoints,4);
1631   if (points) PetscValidPointer(points,5);
1632   ierr = DMRestoreWorkArray(dm, 0, PETSC_INT, points);CHKERRQ(ierr);
1633   if (numPoints) *numPoints = 0;
1634   PetscFunctionReturn(0);
1635 }
1636 
1637 #undef __FUNCT__
1638 #define __FUNCT__ "DMPlexGetMaxSizes"
1639 /*@
1640   DMPlexGetMaxSizes - Return the maximum number of in-edges (cone) and out-edges (support) for any point in the Sieve DAG
1641 
1642   Not collective
1643 
1644   Input Parameter:
1645 . mesh - The DMPlex
1646 
1647   Output Parameters:
1648 + maxConeSize - The maximum number of in-edges
1649 - maxSupportSize - The maximum number of out-edges
1650 
1651   Level: beginner
1652 
1653 .seealso: DMPlexCreate(), DMPlexSetConeSize(), DMPlexSetChart()
1654 @*/
1655 PetscErrorCode DMPlexGetMaxSizes(DM dm, PetscInt *maxConeSize, PetscInt *maxSupportSize)
1656 {
1657   DM_Plex *mesh = (DM_Plex*) dm->data;
1658 
1659   PetscFunctionBegin;
1660   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1661   if (maxConeSize)    *maxConeSize    = mesh->maxConeSize;
1662   if (maxSupportSize) *maxSupportSize = mesh->maxSupportSize;
1663   PetscFunctionReturn(0);
1664 }
1665 
1666 #undef __FUNCT__
1667 #define __FUNCT__ "DMSetUp_Plex"
1668 PetscErrorCode DMSetUp_Plex(DM dm)
1669 {
1670   DM_Plex       *mesh = (DM_Plex*) dm->data;
1671   PetscInt       size;
1672   PetscErrorCode ierr;
1673 
1674   PetscFunctionBegin;
1675   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1676   ierr = PetscSectionSetUp(mesh->coneSection);CHKERRQ(ierr);
1677   ierr = PetscSectionGetStorageSize(mesh->coneSection, &size);CHKERRQ(ierr);
1678   ierr = PetscMalloc1(size, &mesh->cones);CHKERRQ(ierr);
1679   ierr = PetscCalloc1(size, &mesh->coneOrientations);CHKERRQ(ierr);
1680   if (mesh->maxSupportSize) {
1681     ierr = PetscSectionSetUp(mesh->supportSection);CHKERRQ(ierr);
1682     ierr = PetscSectionGetStorageSize(mesh->supportSection, &size);CHKERRQ(ierr);
1683     ierr = PetscMalloc1(size, &mesh->supports);CHKERRQ(ierr);
1684   }
1685   PetscFunctionReturn(0);
1686 }
1687 
1688 #undef __FUNCT__
1689 #define __FUNCT__ "DMCreateSubDM_Plex"
1690 PetscErrorCode DMCreateSubDM_Plex(DM dm, PetscInt numFields, PetscInt fields[], IS *is, DM *subdm)
1691 {
1692   PetscErrorCode ierr;
1693 
1694   PetscFunctionBegin;
1695   if (subdm) {ierr = DMClone(dm, subdm);CHKERRQ(ierr);}
1696   ierr = DMCreateSubDM_Section_Private(dm, numFields, fields, is, subdm);CHKERRQ(ierr);
1697   PetscFunctionReturn(0);
1698 }
1699 
1700 #undef __FUNCT__
1701 #define __FUNCT__ "DMPlexSymmetrize"
1702 /*@
1703   DMPlexSymmetrize - Creates support (out-edge) information from cone (in-edge) inoformation
1704 
1705   Not collective
1706 
1707   Input Parameter:
1708 . mesh - The DMPlex
1709 
1710   Output Parameter:
1711 
1712   Note:
1713   This should be called after all calls to DMPlexSetCone()
1714 
1715   Level: beginner
1716 
1717 .seealso: DMPlexCreate(), DMPlexSetChart(), DMPlexSetConeSize(), DMPlexSetCone()
1718 @*/
1719 PetscErrorCode DMPlexSymmetrize(DM dm)
1720 {
1721   DM_Plex       *mesh = (DM_Plex*) dm->data;
1722   PetscInt      *offsets;
1723   PetscInt       supportSize;
1724   PetscInt       pStart, pEnd, p;
1725   PetscErrorCode ierr;
1726 
1727   PetscFunctionBegin;
1728   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1729   if (mesh->supports) SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONGSTATE, "Supports were already setup in this DMPlex");
1730   /* Calculate support sizes */
1731   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
1732   for (p = pStart; p < pEnd; ++p) {
1733     PetscInt dof, off, c;
1734 
1735     ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
1736     ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
1737     for (c = off; c < off+dof; ++c) {
1738       ierr = PetscSectionAddDof(mesh->supportSection, mesh->cones[c], 1);CHKERRQ(ierr);
1739     }
1740   }
1741   for (p = pStart; p < pEnd; ++p) {
1742     PetscInt dof;
1743 
1744     ierr = PetscSectionGetDof(mesh->supportSection, p, &dof);CHKERRQ(ierr);
1745 
1746     mesh->maxSupportSize = PetscMax(mesh->maxSupportSize, dof);
1747   }
1748   ierr = PetscSectionSetUp(mesh->supportSection);CHKERRQ(ierr);
1749   /* Calculate supports */
1750   ierr = PetscSectionGetStorageSize(mesh->supportSection, &supportSize);CHKERRQ(ierr);
1751   ierr = PetscMalloc1(supportSize, &mesh->supports);CHKERRQ(ierr);
1752   ierr = PetscCalloc1(pEnd - pStart, &offsets);CHKERRQ(ierr);
1753   for (p = pStart; p < pEnd; ++p) {
1754     PetscInt dof, off, c;
1755 
1756     ierr = PetscSectionGetDof(mesh->coneSection, p, &dof);CHKERRQ(ierr);
1757     ierr = PetscSectionGetOffset(mesh->coneSection, p, &off);CHKERRQ(ierr);
1758     for (c = off; c < off+dof; ++c) {
1759       const PetscInt q = mesh->cones[c];
1760       PetscInt       offS;
1761 
1762       ierr = PetscSectionGetOffset(mesh->supportSection, q, &offS);CHKERRQ(ierr);
1763 
1764       mesh->supports[offS+offsets[q]] = p;
1765       ++offsets[q];
1766     }
1767   }
1768   ierr = PetscFree(offsets);CHKERRQ(ierr);
1769   PetscFunctionReturn(0);
1770 }
1771 
1772 #undef __FUNCT__
1773 #define __FUNCT__ "DMPlexStratify"
1774 /*@
1775   DMPlexStratify - The Sieve DAG for most topologies is a graded poset (http://en.wikipedia.org/wiki/Graded_poset), and
1776   can be illustrated by Hasse Diagram (a http://en.wikipedia.org/wiki/Hasse_diagram). The strata group all points of the
1777   same grade, and this function calculates the strata. This grade can be seen as the height (or depth) of the point in
1778   the DAG.
1779 
1780   Not collective
1781 
1782   Input Parameter:
1783 . mesh - The DMPlex
1784 
1785   Output Parameter:
1786 
1787   Notes:
1788   Concretely, DMPlexStratify() creates a new label named "depth" containing the dimension of each element: 0 for vertices,
1789   1 for edges, and so on.  The depth label can be accessed through DMPlexGetDepthLabel() or DMPlexGetDepthStratum(), or
1790   manually via DMPlexGetLabel().  The height is defined implicitly by height = maxDimension - depth, and can be accessed
1791   via DMPlexGetHeightStratum().  For example, cells have height 0 and faces have height 1.
1792 
1793   DMPlexStratify() should be called after all calls to DMPlexSymmetrize()
1794 
1795   Level: beginner
1796 
1797 .seealso: DMPlexCreate(), DMPlexSymmetrize()
1798 @*/
1799 PetscErrorCode DMPlexStratify(DM dm)
1800 {
1801   DMLabel        label;
1802   PetscInt       pStart, pEnd, p;
1803   PetscInt       numRoots = 0, numLeaves = 0;
1804   PetscErrorCode ierr;
1805 
1806   PetscFunctionBegin;
1807   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1808   ierr = PetscLogEventBegin(DMPLEX_Stratify,dm,0,0,0);CHKERRQ(ierr);
1809   /* Calculate depth */
1810   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
1811   ierr = DMPlexCreateLabel(dm, "depth");CHKERRQ(ierr);
1812   ierr = DMPlexGetDepthLabel(dm, &label);CHKERRQ(ierr);
1813   /* Initialize roots and count leaves */
1814   for (p = pStart; p < pEnd; ++p) {
1815     PetscInt coneSize, supportSize;
1816 
1817     ierr = DMPlexGetConeSize(dm, p, &coneSize);CHKERRQ(ierr);
1818     ierr = DMPlexGetSupportSize(dm, p, &supportSize);CHKERRQ(ierr);
1819     if (!coneSize && supportSize) {
1820       ++numRoots;
1821       ierr = DMLabelSetValue(label, p, 0);CHKERRQ(ierr);
1822     } else if (!supportSize && coneSize) {
1823       ++numLeaves;
1824     } else if (!supportSize && !coneSize) {
1825       /* Isolated points */
1826       ierr = DMLabelSetValue(label, p, 0);CHKERRQ(ierr);
1827     }
1828   }
1829   if (numRoots + numLeaves == (pEnd - pStart)) {
1830     for (p = pStart; p < pEnd; ++p) {
1831       PetscInt coneSize, supportSize;
1832 
1833       ierr = DMPlexGetConeSize(dm, p, &coneSize);CHKERRQ(ierr);
1834       ierr = DMPlexGetSupportSize(dm, p, &supportSize);CHKERRQ(ierr);
1835       if (!supportSize && coneSize) {
1836         ierr = DMLabelSetValue(label, p, 1);CHKERRQ(ierr);
1837       }
1838     }
1839   } else {
1840     IS       pointIS;
1841     PetscInt numPoints = 0, level = 0;
1842 
1843     ierr = DMLabelGetStratumIS(label, level, &pointIS);CHKERRQ(ierr);
1844     if (pointIS) {ierr = ISGetLocalSize(pointIS, &numPoints);CHKERRQ(ierr);}
1845     while (numPoints) {
1846       const PetscInt *points;
1847       const PetscInt  newLevel = level+1;
1848 
1849       ierr = ISGetIndices(pointIS, &points);CHKERRQ(ierr);
1850       for (p = 0; p < numPoints; ++p) {
1851         const PetscInt  point = points[p];
1852         const PetscInt *support;
1853         PetscInt        supportSize, s;
1854 
1855         ierr = DMPlexGetSupportSize(dm, point, &supportSize);CHKERRQ(ierr);
1856         ierr = DMPlexGetSupport(dm, point, &support);CHKERRQ(ierr);
1857         for (s = 0; s < supportSize; ++s) {
1858           ierr = DMLabelSetValue(label, support[s], newLevel);CHKERRQ(ierr);
1859         }
1860       }
1861       ierr = ISRestoreIndices(pointIS, &points);CHKERRQ(ierr);
1862       ++level;
1863       ierr = ISDestroy(&pointIS);CHKERRQ(ierr);
1864       ierr = DMLabelGetStratumIS(label, level, &pointIS);CHKERRQ(ierr);
1865       if (pointIS) {ierr = ISGetLocalSize(pointIS, &numPoints);CHKERRQ(ierr);}
1866       else         {numPoints = 0;}
1867     }
1868     ierr = ISDestroy(&pointIS);CHKERRQ(ierr);
1869   }
1870   ierr = PetscLogEventEnd(DMPLEX_Stratify,dm,0,0,0);CHKERRQ(ierr);
1871   PetscFunctionReturn(0);
1872 }
1873 
1874 #undef __FUNCT__
1875 #define __FUNCT__ "DMPlexGetJoin"
1876 /*@C
1877   DMPlexGetJoin - Get an array for the join of the set of points
1878 
1879   Not Collective
1880 
1881   Input Parameters:
1882 + dm - The DMPlex object
1883 . numPoints - The number of input points for the join
1884 - points - The input points
1885 
1886   Output Parameters:
1887 + numCoveredPoints - The number of points in the join
1888 - coveredPoints - The points in the join
1889 
1890   Level: intermediate
1891 
1892   Note: Currently, this is restricted to a single level join
1893 
1894   Fortran Notes:
1895   Since it returns an array, this routine is only available in Fortran 90, and you must
1896   include petsc.h90 in your code.
1897 
1898   The numCoveredPoints argument is not present in the Fortran 90 binding since it is internal to the array.
1899 
1900 .keywords: mesh
1901 .seealso: DMPlexRestoreJoin(), DMPlexGetMeet()
1902 @*/
1903 PetscErrorCode DMPlexGetJoin(DM dm, PetscInt numPoints, const PetscInt points[], PetscInt *numCoveredPoints, const PetscInt **coveredPoints)
1904 {
1905   DM_Plex       *mesh = (DM_Plex*) dm->data;
1906   PetscInt      *join[2];
1907   PetscInt       joinSize, i = 0;
1908   PetscInt       dof, off, p, c, m;
1909   PetscErrorCode ierr;
1910 
1911   PetscFunctionBegin;
1912   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1913   PetscValidPointer(points, 2);
1914   PetscValidPointer(numCoveredPoints, 3);
1915   PetscValidPointer(coveredPoints, 4);
1916   ierr = DMGetWorkArray(dm, mesh->maxSupportSize, PETSC_INT, &join[0]);CHKERRQ(ierr);
1917   ierr = DMGetWorkArray(dm, mesh->maxSupportSize, PETSC_INT, &join[1]);CHKERRQ(ierr);
1918   /* Copy in support of first point */
1919   ierr = PetscSectionGetDof(mesh->supportSection, points[0], &dof);CHKERRQ(ierr);
1920   ierr = PetscSectionGetOffset(mesh->supportSection, points[0], &off);CHKERRQ(ierr);
1921   for (joinSize = 0; joinSize < dof; ++joinSize) {
1922     join[i][joinSize] = mesh->supports[off+joinSize];
1923   }
1924   /* Check each successive support */
1925   for (p = 1; p < numPoints; ++p) {
1926     PetscInt newJoinSize = 0;
1927 
1928     ierr = PetscSectionGetDof(mesh->supportSection, points[p], &dof);CHKERRQ(ierr);
1929     ierr = PetscSectionGetOffset(mesh->supportSection, points[p], &off);CHKERRQ(ierr);
1930     for (c = 0; c < dof; ++c) {
1931       const PetscInt point = mesh->supports[off+c];
1932 
1933       for (m = 0; m < joinSize; ++m) {
1934         if (point == join[i][m]) {
1935           join[1-i][newJoinSize++] = point;
1936           break;
1937         }
1938       }
1939     }
1940     joinSize = newJoinSize;
1941     i        = 1-i;
1942   }
1943   *numCoveredPoints = joinSize;
1944   *coveredPoints    = join[i];
1945   ierr              = DMRestoreWorkArray(dm, mesh->maxSupportSize, PETSC_INT, &join[1-i]);CHKERRQ(ierr);
1946   PetscFunctionReturn(0);
1947 }
1948 
1949 #undef __FUNCT__
1950 #define __FUNCT__ "DMPlexRestoreJoin"
1951 /*@C
1952   DMPlexRestoreJoin - Restore an array for the join of the set of points
1953 
1954   Not Collective
1955 
1956   Input Parameters:
1957 + dm - The DMPlex object
1958 . numPoints - The number of input points for the join
1959 - points - The input points
1960 
1961   Output Parameters:
1962 + numCoveredPoints - The number of points in the join
1963 - coveredPoints - The points in the join
1964 
1965   Fortran Notes:
1966   Since it returns an array, this routine is only available in Fortran 90, and you must
1967   include petsc.h90 in your code.
1968 
1969   The numCoveredPoints argument is not present in the Fortran 90 binding since it is internal to the array.
1970 
1971   Level: intermediate
1972 
1973 .keywords: mesh
1974 .seealso: DMPlexGetJoin(), DMPlexGetFullJoin(), DMPlexGetMeet()
1975 @*/
1976 PetscErrorCode DMPlexRestoreJoin(DM dm, PetscInt numPoints, const PetscInt points[], PetscInt *numCoveredPoints, const PetscInt **coveredPoints)
1977 {
1978   PetscErrorCode ierr;
1979 
1980   PetscFunctionBegin;
1981   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1982   if (points) PetscValidIntPointer(points,3);
1983   if (numCoveredPoints) PetscValidIntPointer(numCoveredPoints,4);
1984   PetscValidPointer(coveredPoints, 5);
1985   ierr = DMRestoreWorkArray(dm, 0, PETSC_INT, (void*) coveredPoints);CHKERRQ(ierr);
1986   if (numCoveredPoints) *numCoveredPoints = 0;
1987   PetscFunctionReturn(0);
1988 }
1989 
1990 #undef __FUNCT__
1991 #define __FUNCT__ "DMPlexGetFullJoin"
1992 /*@C
1993   DMPlexGetFullJoin - Get an array for the join of the set of points
1994 
1995   Not Collective
1996 
1997   Input Parameters:
1998 + dm - The DMPlex object
1999 . numPoints - The number of input points for the join
2000 - points - The input points
2001 
2002   Output Parameters:
2003 + numCoveredPoints - The number of points in the join
2004 - coveredPoints - The points in the join
2005 
2006   Fortran Notes:
2007   Since it returns an array, this routine is only available in Fortran 90, and you must
2008   include petsc.h90 in your code.
2009 
2010   The numCoveredPoints argument is not present in the Fortran 90 binding since it is internal to the array.
2011 
2012   Level: intermediate
2013 
2014 .keywords: mesh
2015 .seealso: DMPlexGetJoin(), DMPlexRestoreJoin(), DMPlexGetMeet()
2016 @*/
2017 PetscErrorCode DMPlexGetFullJoin(DM dm, PetscInt numPoints, const PetscInt points[], PetscInt *numCoveredPoints, const PetscInt **coveredPoints)
2018 {
2019   DM_Plex       *mesh = (DM_Plex*) dm->data;
2020   PetscInt      *offsets, **closures;
2021   PetscInt      *join[2];
2022   PetscInt       depth = 0, maxSize, joinSize = 0, i = 0;
2023   PetscInt       p, d, c, m, ms;
2024   PetscErrorCode ierr;
2025 
2026   PetscFunctionBegin;
2027   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2028   PetscValidPointer(points, 2);
2029   PetscValidPointer(numCoveredPoints, 3);
2030   PetscValidPointer(coveredPoints, 4);
2031 
2032   ierr    = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
2033   ierr    = PetscCalloc1(numPoints, &closures);CHKERRQ(ierr);
2034   ierr    = DMGetWorkArray(dm, numPoints*(depth+2), PETSC_INT, &offsets);CHKERRQ(ierr);
2035   ms      = mesh->maxSupportSize;
2036   maxSize = (ms > 1) ? ((PetscPowInt(ms,depth+1)-1)/(ms-1)) : depth + 1;
2037   ierr    = DMGetWorkArray(dm, maxSize, PETSC_INT, &join[0]);CHKERRQ(ierr);
2038   ierr    = DMGetWorkArray(dm, maxSize, PETSC_INT, &join[1]);CHKERRQ(ierr);
2039 
2040   for (p = 0; p < numPoints; ++p) {
2041     PetscInt closureSize;
2042 
2043     ierr = DMPlexGetTransitiveClosure(dm, points[p], PETSC_FALSE, &closureSize, &closures[p]);CHKERRQ(ierr);
2044 
2045     offsets[p*(depth+2)+0] = 0;
2046     for (d = 0; d < depth+1; ++d) {
2047       PetscInt pStart, pEnd, i;
2048 
2049       ierr = DMPlexGetDepthStratum(dm, d, &pStart, &pEnd);CHKERRQ(ierr);
2050       for (i = offsets[p*(depth+2)+d]; i < closureSize; ++i) {
2051         if ((pStart > closures[p][i*2]) || (pEnd <= closures[p][i*2])) {
2052           offsets[p*(depth+2)+d+1] = i;
2053           break;
2054         }
2055       }
2056       if (i == closureSize) offsets[p*(depth+2)+d+1] = i;
2057     }
2058     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);
2059   }
2060   for (d = 0; d < depth+1; ++d) {
2061     PetscInt dof;
2062 
2063     /* Copy in support of first point */
2064     dof = offsets[d+1] - offsets[d];
2065     for (joinSize = 0; joinSize < dof; ++joinSize) {
2066       join[i][joinSize] = closures[0][(offsets[d]+joinSize)*2];
2067     }
2068     /* Check each successive cone */
2069     for (p = 1; p < numPoints && joinSize; ++p) {
2070       PetscInt newJoinSize = 0;
2071 
2072       dof = offsets[p*(depth+2)+d+1] - offsets[p*(depth+2)+d];
2073       for (c = 0; c < dof; ++c) {
2074         const PetscInt point = closures[p][(offsets[p*(depth+2)+d]+c)*2];
2075 
2076         for (m = 0; m < joinSize; ++m) {
2077           if (point == join[i][m]) {
2078             join[1-i][newJoinSize++] = point;
2079             break;
2080           }
2081         }
2082       }
2083       joinSize = newJoinSize;
2084       i        = 1-i;
2085     }
2086     if (joinSize) break;
2087   }
2088   *numCoveredPoints = joinSize;
2089   *coveredPoints    = join[i];
2090   for (p = 0; p < numPoints; ++p) {
2091     ierr = DMPlexRestoreTransitiveClosure(dm, points[p], PETSC_FALSE, NULL, &closures[p]);CHKERRQ(ierr);
2092   }
2093   ierr = PetscFree(closures);CHKERRQ(ierr);
2094   ierr = DMRestoreWorkArray(dm, numPoints*(depth+2), PETSC_INT, &offsets);CHKERRQ(ierr);
2095   ierr = DMRestoreWorkArray(dm, mesh->maxSupportSize, PETSC_INT, &join[1-i]);CHKERRQ(ierr);
2096   PetscFunctionReturn(0);
2097 }
2098 
2099 #undef __FUNCT__
2100 #define __FUNCT__ "DMPlexGetMeet"
2101 /*@C
2102   DMPlexGetMeet - Get an array for the meet of the set of points
2103 
2104   Not Collective
2105 
2106   Input Parameters:
2107 + dm - The DMPlex object
2108 . numPoints - The number of input points for the meet
2109 - points - The input points
2110 
2111   Output Parameters:
2112 + numCoveredPoints - The number of points in the meet
2113 - coveredPoints - The points in the meet
2114 
2115   Level: intermediate
2116 
2117   Note: Currently, this is restricted to a single level meet
2118 
2119   Fortran Notes:
2120   Since it returns an array, this routine is only available in Fortran 90, and you must
2121   include petsc.h90 in your code.
2122 
2123   The numCoveredPoints argument is not present in the Fortran 90 binding since it is internal to the array.
2124 
2125 .keywords: mesh
2126 .seealso: DMPlexRestoreMeet(), DMPlexGetJoin()
2127 @*/
2128 PetscErrorCode DMPlexGetMeet(DM dm, PetscInt numPoints, const PetscInt points[], PetscInt *numCoveringPoints, const PetscInt **coveringPoints)
2129 {
2130   DM_Plex       *mesh = (DM_Plex*) dm->data;
2131   PetscInt      *meet[2];
2132   PetscInt       meetSize, i = 0;
2133   PetscInt       dof, off, p, c, m;
2134   PetscErrorCode ierr;
2135 
2136   PetscFunctionBegin;
2137   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2138   PetscValidPointer(points, 2);
2139   PetscValidPointer(numCoveringPoints, 3);
2140   PetscValidPointer(coveringPoints, 4);
2141   ierr = DMGetWorkArray(dm, mesh->maxConeSize, PETSC_INT, &meet[0]);CHKERRQ(ierr);
2142   ierr = DMGetWorkArray(dm, mesh->maxConeSize, PETSC_INT, &meet[1]);CHKERRQ(ierr);
2143   /* Copy in cone of first point */
2144   ierr = PetscSectionGetDof(mesh->coneSection, points[0], &dof);CHKERRQ(ierr);
2145   ierr = PetscSectionGetOffset(mesh->coneSection, points[0], &off);CHKERRQ(ierr);
2146   for (meetSize = 0; meetSize < dof; ++meetSize) {
2147     meet[i][meetSize] = mesh->cones[off+meetSize];
2148   }
2149   /* Check each successive cone */
2150   for (p = 1; p < numPoints; ++p) {
2151     PetscInt newMeetSize = 0;
2152 
2153     ierr = PetscSectionGetDof(mesh->coneSection, points[p], &dof);CHKERRQ(ierr);
2154     ierr = PetscSectionGetOffset(mesh->coneSection, points[p], &off);CHKERRQ(ierr);
2155     for (c = 0; c < dof; ++c) {
2156       const PetscInt point = mesh->cones[off+c];
2157 
2158       for (m = 0; m < meetSize; ++m) {
2159         if (point == meet[i][m]) {
2160           meet[1-i][newMeetSize++] = point;
2161           break;
2162         }
2163       }
2164     }
2165     meetSize = newMeetSize;
2166     i        = 1-i;
2167   }
2168   *numCoveringPoints = meetSize;
2169   *coveringPoints    = meet[i];
2170   ierr               = DMRestoreWorkArray(dm, mesh->maxConeSize, PETSC_INT, &meet[1-i]);CHKERRQ(ierr);
2171   PetscFunctionReturn(0);
2172 }
2173 
2174 #undef __FUNCT__
2175 #define __FUNCT__ "DMPlexRestoreMeet"
2176 /*@C
2177   DMPlexRestoreMeet - Restore an array for the meet of the set of points
2178 
2179   Not Collective
2180 
2181   Input Parameters:
2182 + dm - The DMPlex object
2183 . numPoints - The number of input points for the meet
2184 - points - The input points
2185 
2186   Output Parameters:
2187 + numCoveredPoints - The number of points in the meet
2188 - coveredPoints - The points in the meet
2189 
2190   Level: intermediate
2191 
2192   Fortran Notes:
2193   Since it returns an array, this routine is only available in Fortran 90, and you must
2194   include petsc.h90 in your code.
2195 
2196   The numCoveredPoints argument is not present in the Fortran 90 binding since it is internal to the array.
2197 
2198 .keywords: mesh
2199 .seealso: DMPlexGetMeet(), DMPlexGetFullMeet(), DMPlexGetJoin()
2200 @*/
2201 PetscErrorCode DMPlexRestoreMeet(DM dm, PetscInt numPoints, const PetscInt points[], PetscInt *numCoveredPoints, const PetscInt **coveredPoints)
2202 {
2203   PetscErrorCode ierr;
2204 
2205   PetscFunctionBegin;
2206   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2207   if (points) PetscValidIntPointer(points,3);
2208   if (numCoveredPoints) PetscValidIntPointer(numCoveredPoints,4);
2209   PetscValidPointer(coveredPoints,5);
2210   ierr = DMRestoreWorkArray(dm, 0, PETSC_INT, (void*) coveredPoints);CHKERRQ(ierr);
2211   if (numCoveredPoints) *numCoveredPoints = 0;
2212   PetscFunctionReturn(0);
2213 }
2214 
2215 #undef __FUNCT__
2216 #define __FUNCT__ "DMPlexGetFullMeet"
2217 /*@C
2218   DMPlexGetFullMeet - Get an array for the meet of the set of points
2219 
2220   Not Collective
2221 
2222   Input Parameters:
2223 + dm - The DMPlex object
2224 . numPoints - The number of input points for the meet
2225 - points - The input points
2226 
2227   Output Parameters:
2228 + numCoveredPoints - The number of points in the meet
2229 - coveredPoints - The points in the meet
2230 
2231   Level: intermediate
2232 
2233   Fortran Notes:
2234   Since it returns an array, this routine is only available in Fortran 90, and you must
2235   include petsc.h90 in your code.
2236 
2237   The numCoveredPoints argument is not present in the Fortran 90 binding since it is internal to the array.
2238 
2239 .keywords: mesh
2240 .seealso: DMPlexGetMeet(), DMPlexRestoreMeet(), DMPlexGetJoin()
2241 @*/
2242 PetscErrorCode DMPlexGetFullMeet(DM dm, PetscInt numPoints, const PetscInt points[], PetscInt *numCoveredPoints, const PetscInt **coveredPoints)
2243 {
2244   DM_Plex       *mesh = (DM_Plex*) dm->data;
2245   PetscInt      *offsets, **closures;
2246   PetscInt      *meet[2];
2247   PetscInt       height = 0, maxSize, meetSize = 0, i = 0;
2248   PetscInt       p, h, c, m, mc;
2249   PetscErrorCode ierr;
2250 
2251   PetscFunctionBegin;
2252   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2253   PetscValidPointer(points, 2);
2254   PetscValidPointer(numCoveredPoints, 3);
2255   PetscValidPointer(coveredPoints, 4);
2256 
2257   ierr    = DMPlexGetDepth(dm, &height);CHKERRQ(ierr);
2258   ierr    = PetscMalloc1(numPoints, &closures);CHKERRQ(ierr);
2259   ierr    = DMGetWorkArray(dm, numPoints*(height+2), PETSC_INT, &offsets);CHKERRQ(ierr);
2260   mc      = mesh->maxConeSize;
2261   maxSize = (mc > 1) ? ((PetscPowInt(mc,height+1)-1)/(mc-1)) : height + 1;
2262   ierr    = DMGetWorkArray(dm, maxSize, PETSC_INT, &meet[0]);CHKERRQ(ierr);
2263   ierr    = DMGetWorkArray(dm, maxSize, PETSC_INT, &meet[1]);CHKERRQ(ierr);
2264 
2265   for (p = 0; p < numPoints; ++p) {
2266     PetscInt closureSize;
2267 
2268     ierr = DMPlexGetTransitiveClosure(dm, points[p], PETSC_TRUE, &closureSize, &closures[p]);CHKERRQ(ierr);
2269 
2270     offsets[p*(height+2)+0] = 0;
2271     for (h = 0; h < height+1; ++h) {
2272       PetscInt pStart, pEnd, i;
2273 
2274       ierr = DMPlexGetHeightStratum(dm, h, &pStart, &pEnd);CHKERRQ(ierr);
2275       for (i = offsets[p*(height+2)+h]; i < closureSize; ++i) {
2276         if ((pStart > closures[p][i*2]) || (pEnd <= closures[p][i*2])) {
2277           offsets[p*(height+2)+h+1] = i;
2278           break;
2279         }
2280       }
2281       if (i == closureSize) offsets[p*(height+2)+h+1] = i;
2282     }
2283     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);
2284   }
2285   for (h = 0; h < height+1; ++h) {
2286     PetscInt dof;
2287 
2288     /* Copy in cone of first point */
2289     dof = offsets[h+1] - offsets[h];
2290     for (meetSize = 0; meetSize < dof; ++meetSize) {
2291       meet[i][meetSize] = closures[0][(offsets[h]+meetSize)*2];
2292     }
2293     /* Check each successive cone */
2294     for (p = 1; p < numPoints && meetSize; ++p) {
2295       PetscInt newMeetSize = 0;
2296 
2297       dof = offsets[p*(height+2)+h+1] - offsets[p*(height+2)+h];
2298       for (c = 0; c < dof; ++c) {
2299         const PetscInt point = closures[p][(offsets[p*(height+2)+h]+c)*2];
2300 
2301         for (m = 0; m < meetSize; ++m) {
2302           if (point == meet[i][m]) {
2303             meet[1-i][newMeetSize++] = point;
2304             break;
2305           }
2306         }
2307       }
2308       meetSize = newMeetSize;
2309       i        = 1-i;
2310     }
2311     if (meetSize) break;
2312   }
2313   *numCoveredPoints = meetSize;
2314   *coveredPoints    = meet[i];
2315   for (p = 0; p < numPoints; ++p) {
2316     ierr = DMPlexRestoreTransitiveClosure(dm, points[p], PETSC_TRUE, NULL, &closures[p]);CHKERRQ(ierr);
2317   }
2318   ierr = PetscFree(closures);CHKERRQ(ierr);
2319   ierr = DMRestoreWorkArray(dm, numPoints*(height+2), PETSC_INT, &offsets);CHKERRQ(ierr);
2320   ierr = DMRestoreWorkArray(dm, mesh->maxConeSize, PETSC_INT, &meet[1-i]);CHKERRQ(ierr);
2321   PetscFunctionReturn(0);
2322 }
2323 
2324 #undef __FUNCT__
2325 #define __FUNCT__ "DMPlexEqual"
2326 /*@C
2327   DMPlexEqual - Determine if two DMs have the same topology
2328 
2329   Not Collective
2330 
2331   Input Parameters:
2332 + dmA - A DMPlex object
2333 - dmB - A DMPlex object
2334 
2335   Output Parameters:
2336 . equal - PETSC_TRUE if the topologies are identical
2337 
2338   Level: intermediate
2339 
2340   Notes:
2341   We are not solving graph isomorphism, so we do not permutation.
2342 
2343 .keywords: mesh
2344 .seealso: DMPlexGetCone()
2345 @*/
2346 PetscErrorCode DMPlexEqual(DM dmA, DM dmB, PetscBool *equal)
2347 {
2348   PetscInt       depth, depthB, pStart, pEnd, pStartB, pEndB, p;
2349   PetscErrorCode ierr;
2350 
2351   PetscFunctionBegin;
2352   PetscValidHeaderSpecific(dmA, DM_CLASSID, 1);
2353   PetscValidHeaderSpecific(dmB, DM_CLASSID, 2);
2354   PetscValidPointer(equal, 3);
2355 
2356   *equal = PETSC_FALSE;
2357   ierr = DMPlexGetDepth(dmA, &depth);CHKERRQ(ierr);
2358   ierr = DMPlexGetDepth(dmB, &depthB);CHKERRQ(ierr);
2359   if (depth != depthB) PetscFunctionReturn(0);
2360   ierr = DMPlexGetChart(dmA, &pStart,  &pEnd);CHKERRQ(ierr);
2361   ierr = DMPlexGetChart(dmB, &pStartB, &pEndB);CHKERRQ(ierr);
2362   if ((pStart != pStartB) || (pEnd != pEndB)) PetscFunctionReturn(0);
2363   for (p = pStart; p < pEnd; ++p) {
2364     const PetscInt *cone, *coneB, *ornt, *orntB, *support, *supportB;
2365     PetscInt        coneSize, coneSizeB, c, supportSize, supportSizeB, s;
2366 
2367     ierr = DMPlexGetConeSize(dmA, p, &coneSize);CHKERRQ(ierr);
2368     ierr = DMPlexGetCone(dmA, p, &cone);CHKERRQ(ierr);
2369     ierr = DMPlexGetConeOrientation(dmA, p, &ornt);CHKERRQ(ierr);
2370     ierr = DMPlexGetConeSize(dmB, p, &coneSizeB);CHKERRQ(ierr);
2371     ierr = DMPlexGetCone(dmB, p, &coneB);CHKERRQ(ierr);
2372     ierr = DMPlexGetConeOrientation(dmB, p, &orntB);CHKERRQ(ierr);
2373     if (coneSize != coneSizeB) PetscFunctionReturn(0);
2374     for (c = 0; c < coneSize; ++c) {
2375       if (cone[c] != coneB[c]) PetscFunctionReturn(0);
2376       if (ornt[c] != orntB[c]) PetscFunctionReturn(0);
2377     }
2378     ierr = DMPlexGetSupportSize(dmA, p, &supportSize);CHKERRQ(ierr);
2379     ierr = DMPlexGetSupport(dmA, p, &support);CHKERRQ(ierr);
2380     ierr = DMPlexGetSupportSize(dmB, p, &supportSizeB);CHKERRQ(ierr);
2381     ierr = DMPlexGetSupport(dmB, p, &supportB);CHKERRQ(ierr);
2382     if (supportSize != supportSizeB) PetscFunctionReturn(0);
2383     for (s = 0; s < supportSize; ++s) {
2384       if (support[s] != supportB[s]) PetscFunctionReturn(0);
2385     }
2386   }
2387   *equal = PETSC_TRUE;
2388   PetscFunctionReturn(0);
2389 }
2390 
2391 #undef __FUNCT__
2392 #define __FUNCT__ "DMPlexGetNumFaceVertices"
2393 PetscErrorCode DMPlexGetNumFaceVertices(DM dm, PetscInt cellDim, PetscInt numCorners, PetscInt *numFaceVertices)
2394 {
2395   MPI_Comm       comm;
2396   PetscErrorCode ierr;
2397 
2398   PetscFunctionBegin;
2399   ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
2400   PetscValidPointer(numFaceVertices,3);
2401   switch (cellDim) {
2402   case 0:
2403     *numFaceVertices = 0;
2404     break;
2405   case 1:
2406     *numFaceVertices = 1;
2407     break;
2408   case 2:
2409     switch (numCorners) {
2410     case 3: /* triangle */
2411       *numFaceVertices = 2; /* Edge has 2 vertices */
2412       break;
2413     case 4: /* quadrilateral */
2414       *numFaceVertices = 2; /* Edge has 2 vertices */
2415       break;
2416     case 6: /* quadratic triangle, tri and quad cohesive Lagrange cells */
2417       *numFaceVertices = 3; /* Edge has 3 vertices */
2418       break;
2419     case 9: /* quadratic quadrilateral, quadratic quad cohesive Lagrange cells */
2420       *numFaceVertices = 3; /* Edge has 3 vertices */
2421       break;
2422     default:
2423       SETERRQ2(comm, PETSC_ERR_ARG_OUTOFRANGE, "Invalid number of face corners %d for dimension %d", numCorners, cellDim);
2424     }
2425     break;
2426   case 3:
2427     switch (numCorners) {
2428     case 4: /* tetradehdron */
2429       *numFaceVertices = 3; /* Face has 3 vertices */
2430       break;
2431     case 6: /* tet cohesive cells */
2432       *numFaceVertices = 4; /* Face has 4 vertices */
2433       break;
2434     case 8: /* hexahedron */
2435       *numFaceVertices = 4; /* Face has 4 vertices */
2436       break;
2437     case 9: /* tet cohesive Lagrange cells */
2438       *numFaceVertices = 6; /* Face has 6 vertices */
2439       break;
2440     case 10: /* quadratic tetrahedron */
2441       *numFaceVertices = 6; /* Face has 6 vertices */
2442       break;
2443     case 12: /* hex cohesive Lagrange cells */
2444       *numFaceVertices = 6; /* Face has 6 vertices */
2445       break;
2446     case 18: /* quadratic tet cohesive Lagrange cells */
2447       *numFaceVertices = 6; /* Face has 6 vertices */
2448       break;
2449     case 27: /* quadratic hexahedron, quadratic hex cohesive Lagrange cells */
2450       *numFaceVertices = 9; /* Face has 9 vertices */
2451       break;
2452     default:
2453       SETERRQ2(comm, PETSC_ERR_ARG_OUTOFRANGE, "Invalid number of face corners %d for dimension %d", numCorners, cellDim);
2454     }
2455     break;
2456   default:
2457     SETERRQ1(comm, PETSC_ERR_ARG_OUTOFRANGE, "Invalid cell dimension %d", cellDim);
2458   }
2459   PetscFunctionReturn(0);
2460 }
2461 
2462 #undef __FUNCT__
2463 #define __FUNCT__ "DMPlexLocalizeCoordinate"
2464 /*@
2465   DMPlexLocalizeCoordinate - If a mesh is periodic (a torus with lengths L_i, some of which can be infinite), project the coordinate onto [0, L_i) in each dimension.
2466 
2467   Input Parameters:
2468 + dm     - The DM
2469 - in     - The input coordinate point (dim numbers)
2470 
2471   Output Parameter:
2472 . out - The localized coordinate point
2473 
2474   Level: developer
2475 
2476 .seealso: DMPlexLocalizeCoordinates(), DMPlexLocalizeAddCoordinate()
2477 @*/
2478 PetscErrorCode DMPlexLocalizeCoordinate(DM dm, const PetscScalar in[], PetscScalar out[])
2479 {
2480   PetscInt       dim, d;
2481   PetscErrorCode ierr;
2482 
2483   PetscFunctionBegin;
2484   ierr = DMGetCoordinateDim(dm, &dim);CHKERRQ(ierr);
2485   if (!dm->maxCell) {
2486     for (d = 0; d < dim; ++d) out[d] = in[d];
2487   } else {
2488     for (d = 0; d < dim; ++d) {
2489       out[d] = in[d] - dm->L[d]*floor(PetscRealPart(in[d])/dm->L[d]);
2490     }
2491   }
2492   PetscFunctionReturn(0);
2493 }
2494 
2495 #undef __FUNCT__
2496 #define __FUNCT__ "DMPlexLocalizeCoordinate_Internal"
2497 /*
2498   DMPlexLocalizeCoordinate_Internal - If a mesh is periodic, and the input point is far from the anchor, pick the coordinate sheet of the torus which moves it closer.
2499 
2500   Input Parameters:
2501 + dm     - The DM
2502 . dim    - The spatial dimension
2503 . anchor - The anchor point, the input point can be no more than maxCell away from it
2504 - in     - The input coordinate point (dim numbers)
2505 
2506   Output Parameter:
2507 . out - The localized coordinate point
2508 
2509   Level: developer
2510 
2511   Note: This is meant to get a set of coordinates close to each other, as in a cell. The anchor is usually the one of the vertices on a containing cell
2512 
2513 .seealso: DMPlexLocalizeCoordinates(), DMPlexLocalizeAddCoordinate()
2514 */
2515 PetscErrorCode DMPlexLocalizeCoordinate_Internal(DM dm, PetscInt dim, const PetscScalar anchor[], const PetscScalar in[], PetscScalar out[])
2516 {
2517   PetscInt d;
2518 
2519   PetscFunctionBegin;
2520   if (!dm->maxCell) {
2521     for (d = 0; d < dim; ++d) out[d] = in[d];
2522   } else {
2523     for (d = 0; d < dim; ++d) {
2524       if (PetscAbsScalar(anchor[d] - in[d]) > dm->maxCell[d]) {
2525         out[d] = PetscRealPart(anchor[d]) > PetscRealPart(in[d]) ? dm->L[d] + in[d] : in[d] - dm->L[d];
2526       } else {
2527         out[d] = in[d];
2528       }
2529     }
2530   }
2531   PetscFunctionReturn(0);
2532 }
2533 #undef __FUNCT__
2534 #define __FUNCT__ "DMPlexLocalizeCoordinateReal_Internal"
2535 PetscErrorCode DMPlexLocalizeCoordinateReal_Internal(DM dm, PetscInt dim, const PetscReal anchor[], const PetscReal in[], PetscReal out[])
2536 {
2537   PetscInt d;
2538 
2539   PetscFunctionBegin;
2540   if (!dm->maxCell) {
2541     for (d = 0; d < dim; ++d) out[d] = in[d];
2542   } else {
2543     for (d = 0; d < dim; ++d) {
2544       if (PetscAbsReal(anchor[d] - in[d]) > dm->maxCell[d]) {
2545         out[d] = anchor[d] > in[d] ? dm->L[d] + in[d] : in[d] - dm->L[d];
2546       } else {
2547         out[d] = in[d];
2548       }
2549     }
2550   }
2551   PetscFunctionReturn(0);
2552 }
2553 
2554 #undef __FUNCT__
2555 #define __FUNCT__ "DMPlexLocalizeAddCoordinate_Internal"
2556 /*
2557   DMPlexLocalizeAddCoordinate_Internal - If a mesh is periodic, and the input point is far from the anchor, pick the coordinate sheet of the torus which moves it closer.
2558 
2559   Input Parameters:
2560 + dm     - The DM
2561 . dim    - The spatial dimension
2562 . anchor - The anchor point, the input point can be no more than maxCell away from it
2563 . in     - The input coordinate delta (dim numbers)
2564 - out    - The input coordinate point (dim numbers)
2565 
2566   Output Parameter:
2567 . out    - The localized coordinate in + out
2568 
2569   Level: developer
2570 
2571   Note: This is meant to get a set of coordinates close to each other, as in a cell. The anchor is usually the one of the vertices on a containing cell
2572 
2573 .seealso: DMPlexLocalizeCoordinates(), DMPlexLocalizeCoordinate()
2574 */
2575 PetscErrorCode DMPlexLocalizeAddCoordinate_Internal(DM dm, PetscInt dim, const PetscScalar anchor[], const PetscScalar in[], PetscScalar out[])
2576 {
2577   PetscInt d;
2578 
2579   PetscFunctionBegin;
2580   if (!dm->maxCell) {
2581     for (d = 0; d < dim; ++d) out[d] += in[d];
2582   } else {
2583     for (d = 0; d < dim; ++d) {
2584       if (PetscAbsScalar(anchor[d] - in[d]) > dm->maxCell[d]) {
2585         out[d] += PetscRealPart(anchor[d]) > PetscRealPart(in[d]) ? dm->L[d] + in[d] : in[d] - dm->L[d];
2586       } else {
2587         out[d] += in[d];
2588       }
2589     }
2590   }
2591   PetscFunctionReturn(0);
2592 }
2593 
2594 #undef __FUNCT__
2595 #define __FUNCT__ "DMPlexLocalizeCoordinates"
2596 /*@
2597   DMPlexLocalizeCoordinates - If a mesh is periodic, create local coordinates for each cell
2598 
2599   Input Parameter:
2600 . dm - The DM
2601 
2602   Level: developer
2603 
2604 .seealso: DMPlexLocalizeCoordinate(), DMPlexLocalizeAddCoordinate()
2605 @*/
2606 PetscErrorCode DMPlexLocalizeCoordinates(DM dm)
2607 {
2608   PetscSection   coordSection, cSection;
2609   Vec            coordinates,  cVec;
2610   PetscScalar   *coords, *coords2, *anchor;
2611   PetscInt       Nc, cStart, cEnd, c, vStart, vEnd, v, dof, d, off, off2, bs, coordSize;
2612   PetscErrorCode ierr;
2613 
2614   PetscFunctionBegin;
2615   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2616   if (!dm->maxCell) PetscFunctionReturn(0);
2617   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
2618   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
2619   ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
2620   ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
2621   ierr = PetscSectionCreate(PetscObjectComm((PetscObject) dm), &cSection);CHKERRQ(ierr);
2622   ierr = PetscSectionSetNumFields(cSection, 1);CHKERRQ(ierr);
2623   ierr = PetscSectionGetFieldComponents(coordSection, 0, &Nc);CHKERRQ(ierr);
2624   ierr = PetscSectionSetFieldComponents(cSection, 0, Nc);CHKERRQ(ierr);
2625   ierr = PetscSectionSetChart(cSection, cStart, vEnd);CHKERRQ(ierr);
2626   for (v = vStart; v < vEnd; ++v) {
2627     ierr = PetscSectionGetDof(coordSection, v, &dof);CHKERRQ(ierr);
2628     ierr = PetscSectionSetDof(cSection,     v,  dof);CHKERRQ(ierr);
2629     ierr = PetscSectionSetFieldDof(cSection, v, 0, dof);CHKERRQ(ierr);
2630   }
2631   for (c = cStart; c < cEnd; ++c) {
2632     ierr = DMPlexVecGetClosure(dm, coordSection, coordinates, c, &dof, NULL);CHKERRQ(ierr);
2633     ierr = PetscSectionSetDof(cSection, c, dof);CHKERRQ(ierr);
2634     ierr = PetscSectionSetFieldDof(cSection, c, 0, dof);CHKERRQ(ierr);
2635   }
2636   ierr = PetscSectionSetUp(cSection);CHKERRQ(ierr);
2637   ierr = PetscSectionGetStorageSize(cSection, &coordSize);CHKERRQ(ierr);
2638   ierr = VecCreate(PetscObjectComm((PetscObject) dm), &cVec);CHKERRQ(ierr);
2639   ierr = VecGetBlockSize(coordinates, &bs);CHKERRQ(ierr);
2640   ierr = VecSetBlockSize(cVec,         bs);CHKERRQ(ierr);
2641   ierr = VecSetSizes(cVec, coordSize, PETSC_DETERMINE);CHKERRQ(ierr);
2642   ierr = VecSetType(cVec,VECSTANDARD);CHKERRQ(ierr);
2643   ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
2644   ierr = VecGetArray(cVec,        &coords2);CHKERRQ(ierr);
2645   for (v = vStart; v < vEnd; ++v) {
2646     ierr = PetscSectionGetDof(coordSection, v, &dof);CHKERRQ(ierr);
2647     ierr = PetscSectionGetOffset(coordSection, v, &off);CHKERRQ(ierr);
2648     ierr = PetscSectionGetOffset(cSection,     v, &off2);CHKERRQ(ierr);
2649     for (d = 0; d < dof; ++d) coords2[off2+d] = coords[off+d];
2650   }
2651   ierr = DMGetWorkArray(dm, 3, PETSC_SCALAR, &anchor);CHKERRQ(ierr);
2652   for (c = cStart; c < cEnd; ++c) {
2653     PetscScalar *cellCoords = NULL;
2654     PetscInt     b;
2655 
2656     ierr = DMPlexVecGetClosure(dm, coordSection, coordinates, c, &dof, &cellCoords);CHKERRQ(ierr);
2657     ierr = PetscSectionGetOffset(cSection, c, &off2);CHKERRQ(ierr);
2658     for (b = 0; b < bs; ++b) anchor[b] = cellCoords[b];
2659     for (d = 0; d < dof/bs; ++d) {ierr = DMPlexLocalizeCoordinate_Internal(dm, bs, anchor, &cellCoords[d*bs], &coords2[off2+d*bs]);CHKERRQ(ierr);}
2660     ierr = DMPlexVecRestoreClosure(dm, coordSection, coordinates, c, &dof, &cellCoords);CHKERRQ(ierr);
2661   }
2662   ierr = DMRestoreWorkArray(dm, 3, PETSC_SCALAR, &anchor);CHKERRQ(ierr);
2663   ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
2664   ierr = VecRestoreArray(cVec,        &coords2);CHKERRQ(ierr);
2665   ierr = DMSetCoordinateSection(dm, PETSC_DETERMINE, cSection);CHKERRQ(ierr);
2666   ierr = DMSetCoordinatesLocal(dm, cVec);CHKERRQ(ierr);
2667   ierr = VecDestroy(&cVec);CHKERRQ(ierr);
2668   ierr = PetscSectionDestroy(&cSection);CHKERRQ(ierr);
2669   PetscFunctionReturn(0);
2670 }
2671 
2672 #undef __FUNCT__
2673 #define __FUNCT__ "DMPlexGetDepthLabel"
2674 /*@
2675   DMPlexGetDepthLabel - Get the DMLabel recording the depth of each point
2676 
2677   Not Collective
2678 
2679   Input Parameter:
2680 . dm    - The DMPlex object
2681 
2682   Output Parameter:
2683 . depthLabel - The DMLabel recording point depth
2684 
2685   Level: developer
2686 
2687 .keywords: mesh, points
2688 .seealso: DMPlexGetDepth(), DMPlexGetHeightStratum(), DMPlexGetDepthStratum()
2689 @*/
2690 PetscErrorCode DMPlexGetDepthLabel(DM dm, DMLabel *depthLabel)
2691 {
2692   DM_Plex       *mesh = (DM_Plex*) dm->data;
2693   PetscErrorCode ierr;
2694 
2695   PetscFunctionBegin;
2696   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2697   PetscValidPointer(depthLabel, 2);
2698   if (!mesh->depthLabel) {ierr = DMPlexGetLabel(dm, "depth", &mesh->depthLabel);CHKERRQ(ierr);}
2699   *depthLabel = mesh->depthLabel;
2700   PetscFunctionReturn(0);
2701 }
2702 
2703 #undef __FUNCT__
2704 #define __FUNCT__ "DMPlexGetDepth"
2705 /*@
2706   DMPlexGetDepth - Get the depth of the DAG representing this mesh
2707 
2708   Not Collective
2709 
2710   Input Parameter:
2711 . dm    - The DMPlex object
2712 
2713   Output Parameter:
2714 . depth - The number of strata (breadth first levels) in the DAG
2715 
2716   Level: developer
2717 
2718 .keywords: mesh, points
2719 .seealso: DMPlexGetDepthLabel(), DMPlexGetHeightStratum(), DMPlexGetDepthStratum()
2720 @*/
2721 PetscErrorCode DMPlexGetDepth(DM dm, PetscInt *depth)
2722 {
2723   DMLabel        label;
2724   PetscInt       d = 0;
2725   PetscErrorCode ierr;
2726 
2727   PetscFunctionBegin;
2728   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2729   PetscValidPointer(depth, 2);
2730   ierr = DMPlexGetDepthLabel(dm, &label);CHKERRQ(ierr);
2731   if (label) {ierr = DMLabelGetNumValues(label, &d);CHKERRQ(ierr);}
2732   *depth = d-1;
2733   PetscFunctionReturn(0);
2734 }
2735 
2736 #undef __FUNCT__
2737 #define __FUNCT__ "DMPlexGetDepthStratum"
2738 /*@
2739   DMPlexGetDepthStratum - Get the bounds [start, end) for all points at a certain depth.
2740 
2741   Not Collective
2742 
2743   Input Parameters:
2744 + dm           - The DMPlex object
2745 - stratumValue - The requested depth
2746 
2747   Output Parameters:
2748 + start - The first point at this depth
2749 - end   - One beyond the last point at this depth
2750 
2751   Level: developer
2752 
2753 .keywords: mesh, points
2754 .seealso: DMPlexGetHeightStratum(), DMPlexGetDepth()
2755 @*/
2756 PetscErrorCode DMPlexGetDepthStratum(DM dm, PetscInt stratumValue, PetscInt *start, PetscInt *end)
2757 {
2758   DMLabel        label;
2759   PetscInt       pStart, pEnd;
2760   PetscErrorCode ierr;
2761 
2762   PetscFunctionBegin;
2763   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2764   if (start) {PetscValidPointer(start, 3); *start = 0;}
2765   if (end)   {PetscValidPointer(end,   4); *end   = 0;}
2766   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
2767   if (pStart == pEnd) PetscFunctionReturn(0);
2768   if (stratumValue < 0) {
2769     if (start) *start = pStart;
2770     if (end)   *end   = pEnd;
2771     PetscFunctionReturn(0);
2772   }
2773   ierr = DMPlexGetDepthLabel(dm, &label);CHKERRQ(ierr);
2774   if (!label) SETERRQ(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_WRONG, "No label named depth was found");
2775   ierr = DMLabelGetStratumBounds(label, stratumValue, start, end);CHKERRQ(ierr);
2776   PetscFunctionReturn(0);
2777 }
2778 
2779 #undef __FUNCT__
2780 #define __FUNCT__ "DMPlexGetHeightStratum"
2781 /*@
2782   DMPlexGetHeightStratum - Get the bounds [start, end) for all points at a certain height.
2783 
2784   Not Collective
2785 
2786   Input Parameters:
2787 + dm           - The DMPlex object
2788 - stratumValue - The requested height
2789 
2790   Output Parameters:
2791 + start - The first point at this height
2792 - end   - One beyond the last point at this height
2793 
2794   Level: developer
2795 
2796 .keywords: mesh, points
2797 .seealso: DMPlexGetDepthStratum(), DMPlexGetDepth()
2798 @*/
2799 PetscErrorCode DMPlexGetHeightStratum(DM dm, PetscInt stratumValue, PetscInt *start, PetscInt *end)
2800 {
2801   DMLabel        label;
2802   PetscInt       depth, pStart, pEnd;
2803   PetscErrorCode ierr;
2804 
2805   PetscFunctionBegin;
2806   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
2807   if (start) {PetscValidPointer(start, 3); *start = 0;}
2808   if (end)   {PetscValidPointer(end,   4); *end   = 0;}
2809   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
2810   if (pStart == pEnd) PetscFunctionReturn(0);
2811   if (stratumValue < 0) {
2812     if (start) *start = pStart;
2813     if (end)   *end   = pEnd;
2814     PetscFunctionReturn(0);
2815   }
2816   ierr = DMPlexGetDepthLabel(dm, &label);CHKERRQ(ierr);
2817   if (!label) SETERRQ(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_WRONG, "No label named depth was found");CHKERRQ(ierr);
2818   ierr = DMLabelGetNumValues(label, &depth);CHKERRQ(ierr);
2819   ierr = DMLabelGetStratumBounds(label, depth-1-stratumValue, start, end);CHKERRQ(ierr);
2820   PetscFunctionReturn(0);
2821 }
2822 
2823 #undef __FUNCT__
2824 #define __FUNCT__ "DMPlexCreateSectionInitial"
2825 /* Set the number of dof on each point and separate by fields */
2826 PetscErrorCode DMPlexCreateSectionInitial(DM dm, PetscInt dim, PetscInt numFields,const PetscInt numComp[],const PetscInt numDof[], PetscSection *section)
2827 {
2828   PetscInt      *pMax;
2829   PetscInt       depth, pStart = 0, pEnd = 0;
2830   PetscInt       Nf, p, d, dep, f;
2831   PetscBool     *isFE;
2832   PetscErrorCode ierr;
2833 
2834   PetscFunctionBegin;
2835   ierr = PetscMalloc1(numFields, &isFE);CHKERRQ(ierr);
2836   ierr = DMGetNumFields(dm, &Nf);CHKERRQ(ierr);
2837   for (f = 0; f < numFields; ++f) {
2838     PetscObject  obj;
2839     PetscClassId id;
2840 
2841     isFE[f] = PETSC_FALSE;
2842     if (f >= Nf) continue;
2843     ierr = DMGetField(dm, f, &obj);CHKERRQ(ierr);
2844     ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
2845     if (id == PETSCFE_CLASSID)      {isFE[f] = PETSC_TRUE;}
2846     else if (id == PETSCFV_CLASSID) {isFE[f] = PETSC_FALSE;}
2847   }
2848   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), section);CHKERRQ(ierr);
2849   if (numFields > 0) {
2850     ierr = PetscSectionSetNumFields(*section, numFields);CHKERRQ(ierr);
2851     if (numComp) {
2852       for (f = 0; f < numFields; ++f) {
2853         ierr = PetscSectionSetFieldComponents(*section, f, numComp[f]);CHKERRQ(ierr);
2854       }
2855     }
2856   }
2857   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
2858   ierr = PetscSectionSetChart(*section, pStart, pEnd);CHKERRQ(ierr);
2859   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
2860   ierr = PetscMalloc1(depth+1,&pMax);CHKERRQ(ierr);
2861   ierr = DMPlexGetHybridBounds(dm, depth >= 0 ? &pMax[depth] : NULL, depth>1 ? &pMax[depth-1] : NULL, depth>2 ? &pMax[1] : NULL, &pMax[0]);CHKERRQ(ierr);
2862   for (dep = 0; dep <= depth; ++dep) {
2863     d    = dim == depth ? dep : (!dep ? 0 : dim);
2864     ierr = DMPlexGetDepthStratum(dm, dep, &pStart, &pEnd);CHKERRQ(ierr);
2865     pMax[dep] = pMax[dep] < 0 ? pEnd : pMax[dep];
2866     for (p = pStart; p < pEnd; ++p) {
2867       PetscInt tot = 0;
2868 
2869       for (f = 0; f < numFields; ++f) {
2870         if (isFE[f] && p >= pMax[dep]) continue;
2871         ierr = PetscSectionSetFieldDof(*section, p, f, numDof[f*(dim+1)+d]);CHKERRQ(ierr);
2872         tot += numDof[f*(dim+1)+d];
2873       }
2874       ierr = PetscSectionSetDof(*section, p, tot);CHKERRQ(ierr);
2875     }
2876   }
2877   ierr = PetscFree(pMax);CHKERRQ(ierr);
2878   ierr = PetscFree(isFE);CHKERRQ(ierr);
2879   PetscFunctionReturn(0);
2880 }
2881 
2882 #undef __FUNCT__
2883 #define __FUNCT__ "DMPlexCreateSectionBCDof"
2884 /* Set the number of dof on each point and separate by fields
2885    If bcComps is NULL or the IS is NULL, constrain every dof on the point
2886 */
2887 PetscErrorCode DMPlexCreateSectionBCDof(DM dm, PetscInt numBC,const PetscInt bcField[], const IS bcComps[], const IS bcPoints[], PetscSection section)
2888 {
2889   PetscInt       numFields;
2890   PetscInt       bc;
2891   PetscSection   aSec;
2892   PetscErrorCode ierr;
2893 
2894   PetscFunctionBegin;
2895   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
2896   for (bc = 0; bc < numBC; ++bc) {
2897     PetscInt        field = 0;
2898     const PetscInt *comp;
2899     const PetscInt *idx;
2900     PetscInt        Nc = -1, n, i;
2901 
2902     if (numFields) field = bcField[bc];
2903     if (bcComps && bcComps[bc]) {ierr = ISGetLocalSize(bcComps[bc], &Nc);CHKERRQ(ierr);}
2904     if (bcComps && bcComps[bc]) {ierr = ISGetIndices(bcComps[bc], &comp);CHKERRQ(ierr);}
2905     ierr = ISGetLocalSize(bcPoints[bc], &n);CHKERRQ(ierr);
2906     ierr = ISGetIndices(bcPoints[bc], &idx);CHKERRQ(ierr);
2907     for (i = 0; i < n; ++i) {
2908       const PetscInt p        = idx[i];
2909       PetscInt       numConst = Nc;
2910 
2911       if (numConst < 0) {
2912         /* Constrain every dof on the point */
2913         if (numFields) {
2914           ierr = PetscSectionGetFieldDof(section, p, field, &numConst);CHKERRQ(ierr);
2915         } else {
2916           ierr = PetscSectionGetDof(section, p, &numConst);CHKERRQ(ierr);
2917         }
2918       }
2919       if (numFields) {
2920         ierr = PetscSectionAddFieldConstraintDof(section, p, field, numConst);CHKERRQ(ierr);
2921       }
2922       ierr = PetscSectionAddConstraintDof(section, p, numConst);CHKERRQ(ierr);
2923     }
2924     ierr = ISRestoreIndices(bcPoints[bc], &idx);CHKERRQ(ierr);
2925   }
2926   ierr = DMPlexGetAnchors(dm, &aSec, NULL);CHKERRQ(ierr);
2927   if (aSec) {
2928     PetscInt aStart, aEnd, a;
2929 
2930     ierr = PetscSectionGetChart(aSec, &aStart, &aEnd);CHKERRQ(ierr);
2931     for (a = aStart; a < aEnd; a++) {
2932       PetscInt dof, f;
2933 
2934       ierr = PetscSectionGetDof(aSec, a, &dof);CHKERRQ(ierr);
2935       if (dof) {
2936         /* if there are point-to-point constraints, then all dofs are constrained */
2937         ierr = PetscSectionGetDof(section, a, &dof);CHKERRQ(ierr);
2938         ierr = PetscSectionSetConstraintDof(section, a, dof);CHKERRQ(ierr);
2939         for (f = 0; f < numFields; f++) {
2940           ierr = PetscSectionGetFieldDof(section, a, f, &dof);CHKERRQ(ierr);
2941           ierr = PetscSectionSetFieldConstraintDof(section, a, f, dof);CHKERRQ(ierr);
2942         }
2943       }
2944     }
2945   }
2946   PetscFunctionReturn(0);
2947 }
2948 
2949 #undef __FUNCT__
2950 #define __FUNCT__ "DMPlexCreateSectionBCIndicesField"
2951 /* Set the constrained field indices on each point
2952    If bcComps is NULL or the IS is NULL, constrain every dof on the point
2953 */
2954 PetscErrorCode DMPlexCreateSectionBCIndicesField(DM dm, PetscInt numBC,const PetscInt bcField[], const IS bcComps[], const IS bcPoints[], PetscSection section)
2955 {
2956   PetscSection   aSec;
2957   PetscInt      *indices;
2958   PetscInt       numFields, maxDof, pStart, pEnd, p, bc, f, d;
2959   PetscErrorCode ierr;
2960 
2961   PetscFunctionBegin;
2962   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
2963   if (!numFields) PetscFunctionReturn(0);
2964   /* Initialize all field indices to -1 */
2965   ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
2966   ierr = PetscSectionGetMaxDof(section, &maxDof);CHKERRQ(ierr);
2967   ierr = PetscMalloc1(maxDof, &indices);CHKERRQ(ierr);
2968   for (d = 0; d < maxDof; ++d) indices[d] = -1;
2969   for (p = pStart; p < pEnd; ++p) for (f = 0; f < numFields; ++f) {ierr = PetscSectionSetFieldConstraintIndices(section, p, f, indices);CHKERRQ(ierr);}
2970   /* Handle BC constraints */
2971   for (bc = 0; bc < numBC; ++bc) {
2972     const PetscInt  field = bcField[bc];
2973     const PetscInt *comp, *idx;
2974     PetscInt        Nc = -1, n, i;
2975 
2976     if (bcComps && bcComps[bc]) {ierr = ISGetLocalSize(bcComps[bc], &Nc);CHKERRQ(ierr);}
2977     if (bcComps && bcComps[bc]) {ierr = ISGetIndices(bcComps[bc], &comp);CHKERRQ(ierr);}
2978     ierr = ISGetLocalSize(bcPoints[bc], &n);CHKERRQ(ierr);
2979     ierr = ISGetIndices(bcPoints[bc], &idx);CHKERRQ(ierr);
2980     for (i = 0; i < n; ++i) {
2981       const PetscInt  p = idx[i];
2982       const PetscInt *find;
2983       PetscInt        fcdof, c;
2984 
2985       ierr = PetscSectionGetFieldConstraintDof(section, p, field, &fcdof);CHKERRQ(ierr);
2986       if (Nc < 0) {
2987         for (d = 0; d < fcdof; ++d) indices[d] = d;
2988       } else {
2989         ierr = PetscSectionGetFieldConstraintIndices(section, p, field, &find);CHKERRQ(ierr);
2990         for (d = 0; d < fcdof; ++d) {if (find[d] < 0) break; indices[d] = find[d];}
2991         for (c = 0; c < Nc; ++c) indices[d+c] = comp[c];
2992         ierr = PetscSortInt(d+Nc, indices);CHKERRQ(ierr);
2993         for (c = d+Nc; c < fcdof; ++c) indices[c] = -1;
2994       }
2995       ierr = PetscSectionSetFieldConstraintIndices(section, p, field, indices);CHKERRQ(ierr);
2996     }
2997     if (bcComps && bcComps[bc]) {ierr = ISRestoreIndices(bcComps[bc], &comp);CHKERRQ(ierr);}
2998     ierr = ISRestoreIndices(bcPoints[bc], &idx);CHKERRQ(ierr);
2999   }
3000   /* Handle anchors */
3001   ierr = DMPlexGetAnchors(dm, &aSec, NULL);CHKERRQ(ierr);
3002   if (aSec) {
3003     PetscInt aStart, aEnd, a;
3004 
3005     for (d = 0; d < maxDof; ++d) indices[d] = d;
3006     ierr = PetscSectionGetChart(aSec, &aStart, &aEnd);CHKERRQ(ierr);
3007     for (a = aStart; a < aEnd; a++) {
3008       PetscInt dof, fdof, f;
3009 
3010       ierr = PetscSectionGetDof(aSec, a, &dof);CHKERRQ(ierr);
3011       if (dof) {
3012         /* if there are point-to-point constraints, then all dofs are constrained */
3013         for (f = 0; f < numFields; f++) {
3014           ierr = PetscSectionGetFieldDof(section, a, f, &fdof);CHKERRQ(ierr);
3015           ierr = PetscSectionSetFieldConstraintIndices(section, a, f, indices);CHKERRQ(ierr);
3016         }
3017       }
3018     }
3019   }
3020   ierr = PetscFree(indices);CHKERRQ(ierr);
3021   PetscFunctionReturn(0);
3022 }
3023 
3024 #undef __FUNCT__
3025 #define __FUNCT__ "DMPlexCreateSectionBCIndices"
3026 /* Set the constrained indices on each point */
3027 PetscErrorCode DMPlexCreateSectionBCIndices(DM dm, PetscSection section)
3028 {
3029   PetscInt      *indices;
3030   PetscInt       numFields, maxDof, pStart, pEnd, p, f, d;
3031   PetscErrorCode ierr;
3032 
3033   PetscFunctionBegin;
3034   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
3035   ierr = PetscSectionGetMaxDof(section, &maxDof);CHKERRQ(ierr);
3036   ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
3037   ierr = PetscMalloc1(maxDof, &indices);CHKERRQ(ierr);
3038   for (d = 0; d < maxDof; ++d) indices[d] = -1;
3039   for (p = pStart; p < pEnd; ++p) {
3040     PetscInt cdof, d;
3041 
3042     ierr = PetscSectionGetConstraintDof(section, p, &cdof);CHKERRQ(ierr);
3043     if (cdof) {
3044       if (numFields) {
3045         PetscInt numConst = 0, foff = 0;
3046 
3047         for (f = 0; f < numFields; ++f) {
3048           const PetscInt *find;
3049           PetscInt        fcdof, fdof;
3050 
3051           ierr = PetscSectionGetFieldDof(section, p, f, &fdof);CHKERRQ(ierr);
3052           ierr = PetscSectionGetFieldConstraintDof(section, p, f, &fcdof);CHKERRQ(ierr);
3053           /* Change constraint numbering from field component to local dof number */
3054           ierr = PetscSectionGetFieldConstraintIndices(section, p, f, &find);CHKERRQ(ierr);
3055           for (d = 0; d < fcdof; ++d) indices[numConst+d] = find[d] + foff;
3056           numConst += fcdof;
3057           foff     += fdof;
3058         }
3059         if (cdof != numConst) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_LIB, "Total number of field constraints %D should be %D", numConst, cdof);
3060       } else {
3061         for (d = 0; d < cdof; ++d) indices[d] = d;
3062       }
3063       ierr = PetscSectionSetConstraintIndices(section, p, indices);CHKERRQ(ierr);
3064     }
3065   }
3066   ierr = PetscFree(indices);CHKERRQ(ierr);
3067   PetscFunctionReturn(0);
3068 }
3069 
3070 #undef __FUNCT__
3071 #define __FUNCT__ "DMPlexCreateSection"
3072 /*@C
3073   DMPlexCreateSection - Create a PetscSection based upon the dof layout specification provided.
3074 
3075   Not Collective
3076 
3077   Input Parameters:
3078 + dm        - The DMPlex object
3079 . dim       - The spatial dimension of the problem
3080 . numFields - The number of fields in the problem
3081 . numComp   - An array of size numFields that holds the number of components for each field
3082 . numDof    - An array of size numFields*(dim+1) which holds the number of dof for each field on a mesh piece of dimension d
3083 . numBC     - The number of boundary conditions
3084 . bcField   - An array of size numBC giving the field number for each boundry condition
3085 . bcComps   - [Optional] An array of size numBC giving an IS holding the field components to which each boundary condition applies
3086 . bcPoints  - An array of size numBC giving an IS holding the Plex points to which each boundary condition applies
3087 - perm      - Optional permutation of the chart, or NULL
3088 
3089   Output Parameter:
3090 . section - The PetscSection object
3091 
3092   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
3093   number of dof for field 0 on each edge.
3094 
3095   The chart permutation is the same one set using PetscSectionSetPermutation()
3096 
3097   Level: developer
3098 
3099   Fortran Notes:
3100   A Fortran 90 version is available as DMPlexCreateSectionF90()
3101 
3102 .keywords: mesh, elements
3103 .seealso: DMPlexCreate(), PetscSectionCreate(), PetscSectionSetPermutation()
3104 @*/
3105 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)
3106 {
3107   PetscSection   aSec;
3108   PetscErrorCode ierr;
3109 
3110   PetscFunctionBegin;
3111   ierr = DMPlexCreateSectionInitial(dm, dim, numFields, numComp, numDof, section);CHKERRQ(ierr);
3112   ierr = DMPlexCreateSectionBCDof(dm, numBC, bcField, bcComps, bcPoints, *section);CHKERRQ(ierr);
3113   if (perm) {ierr = PetscSectionSetPermutation(*section, perm);CHKERRQ(ierr);}
3114   ierr = PetscSectionSetUp(*section);CHKERRQ(ierr);
3115   ierr = DMPlexGetAnchors(dm,&aSec,NULL);CHKERRQ(ierr);
3116   if (numBC || aSec) {
3117     ierr = DMPlexCreateSectionBCIndicesField(dm, numBC, bcField, bcComps, bcPoints, *section);CHKERRQ(ierr);
3118     ierr = DMPlexCreateSectionBCIndices(dm, *section);CHKERRQ(ierr);
3119   }
3120   ierr = PetscSectionViewFromOptions(*section,NULL,"-section_view");CHKERRQ(ierr);
3121   PetscFunctionReturn(0);
3122 }
3123 
3124 #undef __FUNCT__
3125 #define __FUNCT__ "DMCreateCoordinateDM_Plex"
3126 PetscErrorCode DMCreateCoordinateDM_Plex(DM dm, DM *cdm)
3127 {
3128   PetscSection   section;
3129   PetscErrorCode ierr;
3130 
3131   PetscFunctionBegin;
3132   ierr = DMClone(dm, cdm);CHKERRQ(ierr);
3133   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &section);CHKERRQ(ierr);
3134   ierr = DMSetDefaultSection(*cdm, section);CHKERRQ(ierr);
3135   ierr = PetscSectionDestroy(&section);CHKERRQ(ierr);
3136   PetscFunctionReturn(0);
3137 }
3138 
3139 #undef __FUNCT__
3140 #define __FUNCT__ "DMPlexGetConeSection"
3141 PetscErrorCode DMPlexGetConeSection(DM dm, PetscSection *section)
3142 {
3143   DM_Plex *mesh = (DM_Plex*) dm->data;
3144 
3145   PetscFunctionBegin;
3146   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3147   if (section) *section = mesh->coneSection;
3148   PetscFunctionReturn(0);
3149 }
3150 
3151 #undef __FUNCT__
3152 #define __FUNCT__ "DMPlexGetSupportSection"
3153 PetscErrorCode DMPlexGetSupportSection(DM dm, PetscSection *section)
3154 {
3155   DM_Plex *mesh = (DM_Plex*) dm->data;
3156 
3157   PetscFunctionBegin;
3158   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3159   if (section) *section = mesh->supportSection;
3160   PetscFunctionReturn(0);
3161 }
3162 
3163 #undef __FUNCT__
3164 #define __FUNCT__ "DMPlexGetCones"
3165 PetscErrorCode DMPlexGetCones(DM dm, PetscInt *cones[])
3166 {
3167   DM_Plex *mesh = (DM_Plex*) dm->data;
3168 
3169   PetscFunctionBegin;
3170   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3171   if (cones) *cones = mesh->cones;
3172   PetscFunctionReturn(0);
3173 }
3174 
3175 #undef __FUNCT__
3176 #define __FUNCT__ "DMPlexGetConeOrientations"
3177 PetscErrorCode DMPlexGetConeOrientations(DM dm, PetscInt *coneOrientations[])
3178 {
3179   DM_Plex *mesh = (DM_Plex*) dm->data;
3180 
3181   PetscFunctionBegin;
3182   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3183   if (coneOrientations) *coneOrientations = mesh->coneOrientations;
3184   PetscFunctionReturn(0);
3185 }
3186 
3187 /******************************** FEM Support **********************************/
3188 
3189 #undef __FUNCT__
3190 #define __FUNCT__ "DMPlexVecGetClosure_Depth1_Static"
3191 PETSC_STATIC_INLINE PetscErrorCode DMPlexVecGetClosure_Depth1_Static(DM dm, PetscSection section, Vec v, PetscInt point, PetscInt *csize, PetscScalar *values[])
3192 {
3193   PetscScalar    *array, *vArray;
3194   const PetscInt *cone, *coneO;
3195   PetscInt        pStart, pEnd, p, numPoints, size = 0, offset = 0;
3196   PetscErrorCode  ierr;
3197 
3198   PetscFunctionBeginHot;
3199   ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
3200   ierr = DMPlexGetConeSize(dm, point, &numPoints);CHKERRQ(ierr);
3201   ierr = DMPlexGetCone(dm, point, &cone);CHKERRQ(ierr);
3202   ierr = DMPlexGetConeOrientation(dm, point, &coneO);CHKERRQ(ierr);
3203   if (!values || !*values) {
3204     if ((point >= pStart) && (point < pEnd)) {
3205       PetscInt dof;
3206 
3207       ierr = PetscSectionGetDof(section, point, &dof);CHKERRQ(ierr);
3208       size += dof;
3209     }
3210     for (p = 0; p < numPoints; ++p) {
3211       const PetscInt cp = cone[p];
3212       PetscInt       dof;
3213 
3214       if ((cp < pStart) || (cp >= pEnd)) continue;
3215       ierr = PetscSectionGetDof(section, cp, &dof);CHKERRQ(ierr);
3216       size += dof;
3217     }
3218     if (!values) {
3219       if (csize) *csize = size;
3220       PetscFunctionReturn(0);
3221     }
3222     ierr = DMGetWorkArray(dm, size, PETSC_SCALAR, &array);CHKERRQ(ierr);
3223   } else {
3224     array = *values;
3225   }
3226   size = 0;
3227   ierr = VecGetArray(v, &vArray);CHKERRQ(ierr);
3228   if ((point >= pStart) && (point < pEnd)) {
3229     PetscInt     dof, off, d;
3230     PetscScalar *varr;
3231 
3232     ierr = PetscSectionGetDof(section, point, &dof);CHKERRQ(ierr);
3233     ierr = PetscSectionGetOffset(section, point, &off);CHKERRQ(ierr);
3234     varr = &vArray[off];
3235     for (d = 0; d < dof; ++d, ++offset) {
3236       array[offset] = varr[d];
3237     }
3238     size += dof;
3239   }
3240   for (p = 0; p < numPoints; ++p) {
3241     const PetscInt cp = cone[p];
3242     PetscInt       o  = coneO[p];
3243     PetscInt       dof, off, d;
3244     PetscScalar   *varr;
3245 
3246     if ((cp < pStart) || (cp >= pEnd)) continue;
3247     ierr = PetscSectionGetDof(section, cp, &dof);CHKERRQ(ierr);
3248     ierr = PetscSectionGetOffset(section, cp, &off);CHKERRQ(ierr);
3249     varr = &vArray[off];
3250     if (o >= 0) {
3251       for (d = 0; d < dof; ++d, ++offset) {
3252         array[offset] = varr[d];
3253       }
3254     } else {
3255       for (d = dof-1; d >= 0; --d, ++offset) {
3256         array[offset] = varr[d];
3257       }
3258     }
3259     size += dof;
3260   }
3261   ierr = VecRestoreArray(v, &vArray);CHKERRQ(ierr);
3262   if (!*values) {
3263     if (csize) *csize = size;
3264     *values = array;
3265   } else {
3266     if (size > *csize) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Size of input array %d < actual size %d", *csize, size);
3267     *csize = size;
3268   }
3269   PetscFunctionReturn(0);
3270 }
3271 
3272 #undef __FUNCT__
3273 #define __FUNCT__ "DMPlexVecGetClosure_Static"
3274 PETSC_STATIC_INLINE PetscErrorCode DMPlexVecGetClosure_Static(PetscSection section, PetscInt numPoints, const PetscInt points[], const PetscScalar vArray[], PetscInt *size, PetscScalar array[])
3275 {
3276   PetscInt       offset = 0, p;
3277   PetscErrorCode ierr;
3278 
3279   PetscFunctionBeginHot;
3280   *size = 0;
3281   for (p = 0; p < numPoints*2; p += 2) {
3282     const PetscInt point = points[p];
3283     const PetscInt o     = points[p+1];
3284     PetscInt       dof, off, d;
3285     const PetscScalar *varr;
3286 
3287     ierr = PetscSectionGetDof(section, point, &dof);CHKERRQ(ierr);
3288     ierr = PetscSectionGetOffset(section, point, &off);CHKERRQ(ierr);
3289     varr = &vArray[off];
3290     if (o >= 0) {
3291       for (d = 0; d < dof; ++d, ++offset)    array[offset] = varr[d];
3292     } else {
3293       for (d = dof-1; d >= 0; --d, ++offset) array[offset] = varr[d];
3294     }
3295   }
3296   *size = offset;
3297   PetscFunctionReturn(0);
3298 }
3299 
3300 #undef __FUNCT__
3301 #define __FUNCT__ "DMPlexVecGetClosure_Fields_Static"
3302 PETSC_STATIC_INLINE PetscErrorCode DMPlexVecGetClosure_Fields_Static(PetscSection section, PetscInt numPoints, const PetscInt points[], PetscInt numFields, const PetscScalar vArray[], PetscInt *size, PetscScalar array[])
3303 {
3304   PetscInt       offset = 0, f;
3305   PetscErrorCode ierr;
3306 
3307   PetscFunctionBeginHot;
3308   *size = 0;
3309   for (f = 0; f < numFields; ++f) {
3310     PetscInt fcomp, p;
3311 
3312     ierr = PetscSectionGetFieldComponents(section, f, &fcomp);CHKERRQ(ierr);
3313     for (p = 0; p < numPoints*2; p += 2) {
3314       const PetscInt point = points[p];
3315       const PetscInt o     = points[p+1];
3316       PetscInt       fdof, foff, d, c;
3317       const PetscScalar *varr;
3318 
3319       ierr = PetscSectionGetFieldDof(section, point, f, &fdof);CHKERRQ(ierr);
3320       ierr = PetscSectionGetFieldOffset(section, point, f, &foff);CHKERRQ(ierr);
3321       varr = &vArray[foff];
3322       if (o >= 0) {
3323         for (d = 0; d < fdof; ++d, ++offset) array[offset] = varr[d];
3324       } else {
3325         for (d = fdof/fcomp-1; d >= 0; --d) {
3326           for (c = 0; c < fcomp; ++c, ++offset) {
3327             array[offset] = varr[d*fcomp+c];
3328           }
3329         }
3330       }
3331     }
3332   }
3333   *size = offset;
3334   PetscFunctionReturn(0);
3335 }
3336 
3337 #undef __FUNCT__
3338 #define __FUNCT__ "DMPlexVecGetClosure"
3339 /*@C
3340   DMPlexVecGetClosure - Get an array of the values on the closure of 'point'
3341 
3342   Not collective
3343 
3344   Input Parameters:
3345 + dm - The DM
3346 . section - The section describing the layout in v, or NULL to use the default section
3347 . v - The local vector
3348 - point - The sieve point in the DM
3349 
3350   Output Parameters:
3351 + csize - The number of values in the closure, or NULL
3352 - values - The array of values, which is a borrowed array and should not be freed
3353 
3354   Fortran Notes:
3355   Since it returns an array, this routine is only available in Fortran 90, and you must
3356   include petsc.h90 in your code.
3357 
3358   The csize argument is not present in the Fortran 90 binding since it is internal to the array.
3359 
3360   Level: intermediate
3361 
3362 .seealso DMPlexVecRestoreClosure(), DMPlexVecSetClosure(), DMPlexMatSetClosure()
3363 @*/
3364 PetscErrorCode DMPlexVecGetClosure(DM dm, PetscSection section, Vec v, PetscInt point, PetscInt *csize, PetscScalar *values[])
3365 {
3366   PetscSection    clSection;
3367   IS              clPoints;
3368   PetscScalar    *array, *vArray;
3369   PetscInt       *points = NULL;
3370   const PetscInt *clp;
3371   PetscInt        depth, numFields, numPoints, size;
3372   PetscErrorCode  ierr;
3373 
3374   PetscFunctionBeginHot;
3375   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3376   if (!section) {ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);}
3377   PetscValidHeaderSpecific(section, PETSC_SECTION_CLASSID, 2);
3378   PetscValidHeaderSpecific(v, VEC_CLASSID, 3);
3379   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
3380   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
3381   if (depth == 1 && numFields < 2) {
3382     ierr = DMPlexVecGetClosure_Depth1_Static(dm, section, v, point, csize, values);CHKERRQ(ierr);
3383     PetscFunctionReturn(0);
3384   }
3385   /* Get points */
3386   ierr = PetscSectionGetClosureIndex(section, (PetscObject) dm, &clSection, &clPoints);CHKERRQ(ierr);
3387   if (!clPoints) {
3388     PetscInt pStart, pEnd, p, q;
3389 
3390     ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
3391     ierr = DMPlexGetTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
3392     /* Compress out points not in the section */
3393     for (p = 0, q = 0; p < numPoints*2; p += 2) {
3394       if ((points[p] >= pStart) && (points[p] < pEnd)) {
3395         points[q*2]   = points[p];
3396         points[q*2+1] = points[p+1];
3397         ++q;
3398       }
3399     }
3400     numPoints = q;
3401   } else {
3402     PetscInt dof, off;
3403 
3404     ierr = PetscSectionGetDof(clSection, point, &dof);CHKERRQ(ierr);
3405     ierr = PetscSectionGetOffset(clSection, point, &off);CHKERRQ(ierr);
3406     ierr = ISGetIndices(clPoints, &clp);CHKERRQ(ierr);
3407     numPoints = dof/2;
3408     points    = (PetscInt *) &clp[off];
3409   }
3410   /* Get array */
3411   if (!values || !*values) {
3412     PetscInt asize = 0, dof, p;
3413 
3414     for (p = 0; p < numPoints*2; p += 2) {
3415       ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
3416       asize += dof;
3417     }
3418     if (!values) {
3419       if (!clPoints) {ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);}
3420       else           {ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);}
3421       if (csize) *csize = asize;
3422       PetscFunctionReturn(0);
3423     }
3424     ierr = DMGetWorkArray(dm, asize, PETSC_SCALAR, &array);CHKERRQ(ierr);
3425   } else {
3426     array = *values;
3427   }
3428   ierr = VecGetArray(v, &vArray);CHKERRQ(ierr);
3429   /* Get values */
3430   if (numFields > 0) {ierr = DMPlexVecGetClosure_Fields_Static(section, numPoints, points, numFields, vArray, &size, array);CHKERRQ(ierr);}
3431   else               {ierr = DMPlexVecGetClosure_Static(section, numPoints, points, vArray, &size, array);CHKERRQ(ierr);}
3432   /* Cleanup points */
3433   if (!clPoints) {ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);}
3434   else           {ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);}
3435   /* Cleanup array */
3436   ierr = VecRestoreArray(v, &vArray);CHKERRQ(ierr);
3437   if (!*values) {
3438     if (csize) *csize = size;
3439     *values = array;
3440   } else {
3441     if (size > *csize) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Size of input array %d < actual size %d", *csize, size);
3442     *csize = size;
3443   }
3444   PetscFunctionReturn(0);
3445 }
3446 
3447 #undef __FUNCT__
3448 #define __FUNCT__ "DMPlexVecRestoreClosure"
3449 /*@C
3450   DMPlexVecRestoreClosure - Restore the array of the values on the closure of 'point'
3451 
3452   Not collective
3453 
3454   Input Parameters:
3455 + dm - The DM
3456 . section - The section describing the layout in v, or NULL to use the default section
3457 . v - The local vector
3458 . point - The sieve point in the DM
3459 . csize - The number of values in the closure, or NULL
3460 - values - The array of values, which is a borrowed array and should not be freed
3461 
3462   Fortran Notes:
3463   Since it returns an array, this routine is only available in Fortran 90, and you must
3464   include petsc.h90 in your code.
3465 
3466   The csize argument is not present in the Fortran 90 binding since it is internal to the array.
3467 
3468   Level: intermediate
3469 
3470 .seealso DMPlexVecGetClosure(), DMPlexVecSetClosure(), DMPlexMatSetClosure()
3471 @*/
3472 PetscErrorCode DMPlexVecRestoreClosure(DM dm, PetscSection section, Vec v, PetscInt point, PetscInt *csize, PetscScalar *values[])
3473 {
3474   PetscInt       size = 0;
3475   PetscErrorCode ierr;
3476 
3477   PetscFunctionBegin;
3478   /* Should work without recalculating size */
3479   ierr = DMRestoreWorkArray(dm, size, PETSC_SCALAR, (void*) values);CHKERRQ(ierr);
3480   PetscFunctionReturn(0);
3481 }
3482 
3483 PETSC_STATIC_INLINE void add   (PetscScalar *x, PetscScalar y) {*x += y;}
3484 PETSC_STATIC_INLINE void insert(PetscScalar *x, PetscScalar y) {*x  = y;}
3485 
3486 #undef __FUNCT__
3487 #define __FUNCT__ "updatePoint_private"
3488 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[])
3489 {
3490   PetscInt        cdof;   /* The number of constraints on this point */
3491   const PetscInt *cdofs; /* The indices of the constrained dofs on this point */
3492   PetscScalar    *a;
3493   PetscInt        off, cind = 0, k;
3494   PetscErrorCode  ierr;
3495 
3496   PetscFunctionBegin;
3497   ierr = PetscSectionGetConstraintDof(section, point, &cdof);CHKERRQ(ierr);
3498   ierr = PetscSectionGetOffset(section, point, &off);CHKERRQ(ierr);
3499   a    = &array[off];
3500   if (!cdof || setBC) {
3501     if (orientation >= 0) {
3502       for (k = 0; k < dof; ++k) {
3503         fuse(&a[k], values[k]);
3504       }
3505     } else {
3506       for (k = 0; k < dof; ++k) {
3507         fuse(&a[k], values[dof-k-1]);
3508       }
3509     }
3510   } else {
3511     ierr = PetscSectionGetConstraintIndices(section, point, &cdofs);CHKERRQ(ierr);
3512     if (orientation >= 0) {
3513       for (k = 0; k < dof; ++k) {
3514         if ((cind < cdof) && (k == cdofs[cind])) {++cind; continue;}
3515         fuse(&a[k], values[k]);
3516       }
3517     } else {
3518       for (k = 0; k < dof; ++k) {
3519         if ((cind < cdof) && (k == cdofs[cind])) {++cind; continue;}
3520         fuse(&a[k], values[dof-k-1]);
3521       }
3522     }
3523   }
3524   PetscFunctionReturn(0);
3525 }
3526 
3527 #undef __FUNCT__
3528 #define __FUNCT__ "updatePointBC_private"
3529 PETSC_STATIC_INLINE PetscErrorCode updatePointBC_private(PetscSection section, PetscInt point, PetscInt dof, void (*fuse)(PetscScalar*, PetscScalar), PetscInt orientation, const PetscScalar values[], PetscScalar array[])
3530 {
3531   PetscInt        cdof;   /* The number of constraints on this point */
3532   const PetscInt *cdofs; /* The indices of the constrained dofs on this point */
3533   PetscScalar    *a;
3534   PetscInt        off, cind = 0, k;
3535   PetscErrorCode  ierr;
3536 
3537   PetscFunctionBegin;
3538   ierr = PetscSectionGetConstraintDof(section, point, &cdof);CHKERRQ(ierr);
3539   ierr = PetscSectionGetOffset(section, point, &off);CHKERRQ(ierr);
3540   a    = &array[off];
3541   if (cdof) {
3542     ierr = PetscSectionGetConstraintIndices(section, point, &cdofs);CHKERRQ(ierr);
3543     if (orientation >= 0) {
3544       for (k = 0; k < dof; ++k) {
3545         if ((cind < cdof) && (k == cdofs[cind])) {
3546           fuse(&a[k], values[k]);
3547           ++cind;
3548         }
3549       }
3550     } else {
3551       for (k = 0; k < dof; ++k) {
3552         if ((cind < cdof) && (k == cdofs[cind])) {
3553           fuse(&a[k], values[dof-k-1]);
3554           ++cind;
3555         }
3556       }
3557     }
3558   }
3559   PetscFunctionReturn(0);
3560 }
3561 
3562 #undef __FUNCT__
3563 #define __FUNCT__ "updatePointFields_private"
3564 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[])
3565 {
3566   PetscScalar    *a;
3567   PetscInt        fdof, foff, fcdof, foffset = *offset;
3568   const PetscInt *fcdofs; /* The indices of the constrained dofs for field f on this point */
3569   PetscInt        cind = 0, k, c;
3570   PetscErrorCode  ierr;
3571 
3572   PetscFunctionBegin;
3573   ierr = PetscSectionGetFieldDof(section, point, f, &fdof);CHKERRQ(ierr);
3574   ierr = PetscSectionGetFieldConstraintDof(section, point, f, &fcdof);CHKERRQ(ierr);
3575   ierr = PetscSectionGetFieldOffset(section, point, f, &foff);CHKERRQ(ierr);
3576   a    = &array[foff];
3577   if (!fcdof || setBC) {
3578     if (o >= 0) {
3579       for (k = 0; k < fdof; ++k) fuse(&a[k], values[foffset+k]);
3580     } else {
3581       for (k = fdof/fcomp-1; k >= 0; --k) {
3582         for (c = 0; c < fcomp; ++c) {
3583           fuse(&a[(fdof/fcomp-1-k)*fcomp+c], values[foffset+k*fcomp+c]);
3584         }
3585       }
3586     }
3587   } else {
3588     ierr = PetscSectionGetFieldConstraintIndices(section, point, f, &fcdofs);CHKERRQ(ierr);
3589     if (o >= 0) {
3590       for (k = 0; k < fdof; ++k) {
3591         if ((cind < fcdof) && (k == fcdofs[cind])) {++cind; continue;}
3592         fuse(&a[k], values[foffset+k]);
3593       }
3594     } else {
3595       for (k = fdof/fcomp-1; k >= 0; --k) {
3596         for (c = 0; c < fcomp; ++c) {
3597           if ((cind < fcdof) && (k*fcomp+c == fcdofs[cind])) {++cind; continue;}
3598           fuse(&a[(fdof/fcomp-1-k)*fcomp+c], values[foffset+k*fcomp+c]);
3599         }
3600       }
3601     }
3602   }
3603   *offset += fdof;
3604   PetscFunctionReturn(0);
3605 }
3606 
3607 #undef __FUNCT__
3608 #define __FUNCT__ "updatePointFieldsBC_private"
3609 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[])
3610 {
3611   PetscScalar    *a;
3612   PetscInt        fdof, foff, fcdof, foffset = *offset;
3613   const PetscInt *fcdofs; /* The indices of the constrained dofs for field f on this point */
3614   PetscInt        cind = 0, k, c;
3615   PetscErrorCode  ierr;
3616 
3617   PetscFunctionBegin;
3618   ierr = PetscSectionGetFieldDof(section, point, f, &fdof);CHKERRQ(ierr);
3619   ierr = PetscSectionGetFieldConstraintDof(section, point, f, &fcdof);CHKERRQ(ierr);
3620   ierr = PetscSectionGetFieldOffset(section, point, f, &foff);CHKERRQ(ierr);
3621   a    = &array[foff];
3622   if (fcdof) {
3623     ierr = PetscSectionGetFieldConstraintIndices(section, point, f, &fcdofs);CHKERRQ(ierr);
3624     if (o >= 0) {
3625       for (k = 0; k < fdof; ++k) {
3626         if ((cind < fcdof) && (k == fcdofs[cind])) {
3627           fuse(&a[k], values[foffset+k]);
3628           ++cind;
3629         }
3630       }
3631     } else {
3632       for (k = fdof/fcomp-1; k >= 0; --k) {
3633         for (c = 0; c < fcomp; ++c) {
3634           if ((cind < fcdof) && (k*fcomp+c == fcdofs[cind])) {
3635             fuse(&a[(fdof/fcomp-1-k)*fcomp+c], values[foffset+k*fcomp+c]);
3636             ++cind;
3637           }
3638         }
3639       }
3640     }
3641   }
3642   *offset += fdof;
3643   PetscFunctionReturn(0);
3644 }
3645 
3646 #undef __FUNCT__
3647 #define __FUNCT__ "DMPlexVecSetClosure_Static"
3648 PETSC_STATIC_INLINE PetscErrorCode DMPlexVecSetClosure_Static(DM dm, PetscSection section, Vec v, PetscInt point, const PetscScalar values[], InsertMode mode)
3649 {
3650   PetscScalar    *array;
3651   const PetscInt *cone, *coneO;
3652   PetscInt        pStart, pEnd, p, numPoints, off, dof;
3653   PetscErrorCode  ierr;
3654 
3655   PetscFunctionBeginHot;
3656   ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
3657   ierr = DMPlexGetConeSize(dm, point, &numPoints);CHKERRQ(ierr);
3658   ierr = DMPlexGetCone(dm, point, &cone);CHKERRQ(ierr);
3659   ierr = DMPlexGetConeOrientation(dm, point, &coneO);CHKERRQ(ierr);
3660   ierr = VecGetArray(v, &array);CHKERRQ(ierr);
3661   for (p = 0, off = 0; p <= numPoints; ++p, off += dof) {
3662     const PetscInt cp = !p ? point : cone[p-1];
3663     const PetscInt o  = !p ? 0     : coneO[p-1];
3664 
3665     if ((cp < pStart) || (cp >= pEnd)) {dof = 0; continue;}
3666     ierr = PetscSectionGetDof(section, cp, &dof);CHKERRQ(ierr);
3667     /* ADD_VALUES */
3668     {
3669       const PetscInt *cdofs; /* The indices of the constrained dofs on this point */
3670       PetscScalar    *a;
3671       PetscInt        cdof, coff, cind = 0, k;
3672 
3673       ierr = PetscSectionGetConstraintDof(section, cp, &cdof);CHKERRQ(ierr);
3674       ierr = PetscSectionGetOffset(section, cp, &coff);CHKERRQ(ierr);
3675       a    = &array[coff];
3676       if (!cdof) {
3677         if (o >= 0) {
3678           for (k = 0; k < dof; ++k) {
3679             a[k] += values[off+k];
3680           }
3681         } else {
3682           for (k = 0; k < dof; ++k) {
3683             a[k] += values[off+dof-k-1];
3684           }
3685         }
3686       } else {
3687         ierr = PetscSectionGetConstraintIndices(section, cp, &cdofs);CHKERRQ(ierr);
3688         if (o >= 0) {
3689           for (k = 0; k < dof; ++k) {
3690             if ((cind < cdof) && (k == cdofs[cind])) {++cind; continue;}
3691             a[k] += values[off+k];
3692           }
3693         } else {
3694           for (k = 0; k < dof; ++k) {
3695             if ((cind < cdof) && (k == cdofs[cind])) {++cind; continue;}
3696             a[k] += values[off+dof-k-1];
3697           }
3698         }
3699       }
3700     }
3701   }
3702   ierr = VecRestoreArray(v, &array);CHKERRQ(ierr);
3703   PetscFunctionReturn(0);
3704 }
3705 
3706 #undef __FUNCT__
3707 #define __FUNCT__ "DMPlexVecSetClosure"
3708 /*@C
3709   DMPlexVecSetClosure - Set an array of the values on the closure of 'point'
3710 
3711   Not collective
3712 
3713   Input Parameters:
3714 + dm - The DM
3715 . section - The section describing the layout in v, or NULL to use the default section
3716 . v - The local vector
3717 . point - The sieve point in the DM
3718 . values - The array of values
3719 - mode - The insert mode, where INSERT_ALL_VALUES and ADD_ALL_VALUES also overwrite boundary conditions
3720 
3721   Fortran Notes:
3722   This routine is only available in Fortran 90, and you must include petsc.h90 in your code.
3723 
3724   Level: intermediate
3725 
3726 .seealso DMPlexVecGetClosure(), DMPlexMatSetClosure()
3727 @*/
3728 PetscErrorCode DMPlexVecSetClosure(DM dm, PetscSection section, Vec v, PetscInt point, const PetscScalar values[], InsertMode mode)
3729 {
3730   PetscSection    clSection;
3731   IS              clPoints;
3732   PetscScalar    *array;
3733   PetscInt       *points = NULL;
3734   const PetscInt *clp;
3735   PetscInt        depth, numFields, numPoints, p;
3736   PetscErrorCode  ierr;
3737 
3738   PetscFunctionBeginHot;
3739   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3740   if (!section) {ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);}
3741   PetscValidHeaderSpecific(section, PETSC_SECTION_CLASSID, 2);
3742   PetscValidHeaderSpecific(v, VEC_CLASSID, 3);
3743   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
3744   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
3745   if (depth == 1 && numFields < 2 && mode == ADD_VALUES) {
3746     ierr = DMPlexVecSetClosure_Static(dm, section, v, point, values, mode);CHKERRQ(ierr);
3747     PetscFunctionReturn(0);
3748   }
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   if (numFields > 0) {
3778     PetscInt offset = 0, fcomp, f;
3779     for (f = 0; f < numFields; ++f) {
3780       ierr = PetscSectionGetFieldComponents(section, f, &fcomp);CHKERRQ(ierr);
3781       switch (mode) {
3782       case INSERT_VALUES:
3783         for (p = 0; p < numPoints*2; p += 2) {
3784           const PetscInt point = points[p];
3785           const PetscInt o     = points[p+1];
3786           updatePointFields_private(section, point, o, f, fcomp, insert, PETSC_FALSE, values, &offset, array);
3787         } break;
3788       case INSERT_ALL_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_TRUE, values, &offset, array);
3793         } break;
3794       case INSERT_BC_VALUES:
3795         for (p = 0; p < numPoints*2; p += 2) {
3796           const PetscInt point = points[p];
3797           const PetscInt o     = points[p+1];
3798           updatePointFieldsBC_private(section, point, o, f, fcomp, insert, values, &offset, array);
3799         } break;
3800       case ADD_VALUES:
3801         for (p = 0; p < numPoints*2; p += 2) {
3802           const PetscInt point = points[p];
3803           const PetscInt o     = points[p+1];
3804           updatePointFields_private(section, point, o, f, fcomp, add, PETSC_FALSE, values, &offset, array);
3805         } break;
3806       case ADD_ALL_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_TRUE, values, &offset, array);
3811         } break;
3812       default:
3813         SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Invalid insert mode %D", mode);
3814       }
3815     }
3816   } else {
3817     PetscInt dof, off;
3818 
3819     switch (mode) {
3820     case INSERT_VALUES:
3821       for (p = 0, off = 0; p < numPoints*2; p += 2, off += dof) {
3822         PetscInt o = points[p+1];
3823         ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
3824         updatePoint_private(section, points[p], dof, insert, PETSC_FALSE, o, &values[off], array);
3825       } break;
3826     case INSERT_ALL_VALUES:
3827       for (p = 0, off = 0; p < numPoints*2; p += 2, off += dof) {
3828         PetscInt o = points[p+1];
3829         ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
3830         updatePoint_private(section, points[p], dof, insert, PETSC_TRUE,  o, &values[off], array);
3831       } break;
3832     case INSERT_BC_VALUES:
3833       for (p = 0, off = 0; p < numPoints*2; p += 2, off += dof) {
3834         PetscInt o = points[p+1];
3835         ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
3836         updatePointBC_private(section, points[p], dof, insert,  o, &values[off], array);
3837       } break;
3838     case ADD_VALUES:
3839       for (p = 0, off = 0; p < numPoints*2; p += 2, off += dof) {
3840         PetscInt o = points[p+1];
3841         ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
3842         updatePoint_private(section, points[p], dof, add,    PETSC_FALSE, o, &values[off], array);
3843       } break;
3844     case ADD_ALL_VALUES:
3845       for (p = 0, off = 0; p < numPoints*2; p += 2, off += dof) {
3846         PetscInt o = points[p+1];
3847         ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
3848         updatePoint_private(section, points[p], dof, add,    PETSC_TRUE,  o, &values[off], array);
3849       } break;
3850     default:
3851       SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Invalid insert mode %D", mode);
3852     }
3853   }
3854   /* Cleanup points */
3855   if (!clPoints) {ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);}
3856   else           {ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);}
3857   /* Cleanup array */
3858   ierr = VecRestoreArray(v, &array);CHKERRQ(ierr);
3859   PetscFunctionReturn(0);
3860 }
3861 
3862 #undef __FUNCT__
3863 #define __FUNCT__ "DMPlexVecSetFieldClosure_Internal"
3864 PetscErrorCode DMPlexVecSetFieldClosure_Internal(DM dm, PetscSection section, Vec v, PetscBool fieldActive[], PetscInt point, const PetscScalar values[], InsertMode mode)
3865 {
3866   PetscSection    clSection;
3867   IS              clPoints;
3868   PetscScalar    *array;
3869   PetscInt       *points = NULL;
3870   const PetscInt *clp;
3871   PetscInt        numFields, numPoints, p;
3872   PetscInt        offset = 0, fcomp, f;
3873   PetscErrorCode  ierr;
3874 
3875   PetscFunctionBeginHot;
3876   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
3877   if (!section) {ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);}
3878   PetscValidHeaderSpecific(section, PETSC_SECTION_CLASSID, 2);
3879   PetscValidHeaderSpecific(v, VEC_CLASSID, 3);
3880   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
3881   /* Get points */
3882   ierr = PetscSectionGetClosureIndex(section, (PetscObject) dm, &clSection, &clPoints);CHKERRQ(ierr);
3883   if (!clPoints) {
3884     PetscInt pStart, pEnd, q;
3885 
3886     ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
3887     ierr = DMPlexGetTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
3888     /* Compress out points not in the section */
3889     for (p = 0, q = 0; p < numPoints*2; p += 2) {
3890       if ((points[p] >= pStart) && (points[p] < pEnd)) {
3891         points[q*2]   = points[p];
3892         points[q*2+1] = points[p+1];
3893         ++q;
3894       }
3895     }
3896     numPoints = q;
3897   } else {
3898     PetscInt dof, off;
3899 
3900     ierr = PetscSectionGetDof(clSection, point, &dof);CHKERRQ(ierr);
3901     ierr = PetscSectionGetOffset(clSection, point, &off);CHKERRQ(ierr);
3902     ierr = ISGetIndices(clPoints, &clp);CHKERRQ(ierr);
3903     numPoints = dof/2;
3904     points    = (PetscInt *) &clp[off];
3905   }
3906   /* Get array */
3907   ierr = VecGetArray(v, &array);CHKERRQ(ierr);
3908   /* Get values */
3909   for (f = 0; f < numFields; ++f) {
3910     ierr = PetscSectionGetFieldComponents(section, f, &fcomp);CHKERRQ(ierr);
3911     if (!fieldActive[f]) {
3912       for (p = 0; p < numPoints*2; p += 2) {
3913         PetscInt fdof;
3914         ierr = PetscSectionGetFieldDof(section, points[p], f, &fdof);CHKERRQ(ierr);
3915         offset += fdof;
3916       }
3917       continue;
3918     }
3919     switch (mode) {
3920     case INSERT_VALUES:
3921       for (p = 0; p < numPoints*2; p += 2) {
3922         const PetscInt point = points[p];
3923         const PetscInt o     = points[p+1];
3924         updatePointFields_private(section, point, o, f, fcomp, insert, PETSC_FALSE, values, &offset, array);
3925       } break;
3926     case INSERT_ALL_VALUES:
3927       for (p = 0; p < numPoints*2; p += 2) {
3928         const PetscInt point = points[p];
3929         const PetscInt o     = points[p+1];
3930         updatePointFields_private(section, point, o, f, fcomp, insert, PETSC_TRUE, values, &offset, array);
3931         } break;
3932     case INSERT_BC_VALUES:
3933       for (p = 0; p < numPoints*2; p += 2) {
3934         const PetscInt point = points[p];
3935         const PetscInt o     = points[p+1];
3936         updatePointFieldsBC_private(section, point, o, f, fcomp, insert, values, &offset, array);
3937       } break;
3938     case ADD_VALUES:
3939       for (p = 0; p < numPoints*2; p += 2) {
3940         const PetscInt point = points[p];
3941         const PetscInt o     = points[p+1];
3942         updatePointFields_private(section, point, o, f, fcomp, add, PETSC_FALSE, values, &offset, array);
3943       } break;
3944     case ADD_ALL_VALUES:
3945       for (p = 0; p < numPoints*2; p += 2) {
3946         const PetscInt point = points[p];
3947         const PetscInt o     = points[p+1];
3948         updatePointFields_private(section, point, o, f, fcomp, add, PETSC_TRUE, values, &offset, array);
3949       } break;
3950     default:
3951       SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Invalid insert mode %D", mode);
3952     }
3953   }
3954   /* Cleanup points */
3955   if (!clPoints) {ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);}
3956   else           {ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);}
3957   /* Cleanup array */
3958   ierr = VecRestoreArray(v, &array);CHKERRQ(ierr);
3959   PetscFunctionReturn(0);
3960 }
3961 
3962 #undef __FUNCT__
3963 #define __FUNCT__ "DMPlexPrintMatSetValues"
3964 PetscErrorCode DMPlexPrintMatSetValues(PetscViewer viewer, Mat A, PetscInt point, PetscInt numRIndices, const PetscInt rindices[], PetscInt numCIndices, const PetscInt cindices[], const PetscScalar values[])
3965 {
3966   PetscMPIInt    rank;
3967   PetscInt       i, j;
3968   PetscErrorCode ierr;
3969 
3970   PetscFunctionBegin;
3971   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &rank);CHKERRQ(ierr);
3972   ierr = PetscViewerASCIIPrintf(viewer, "[%D]mat for sieve point %D\n", rank, point);CHKERRQ(ierr);
3973   for (i = 0; i < numRIndices; i++) {ierr = PetscViewerASCIIPrintf(viewer, "[%d]mat row indices[%D] = %D\n", rank, i, rindices[i]);CHKERRQ(ierr);}
3974   for (i = 0; i < numCIndices; i++) {ierr = PetscViewerASCIIPrintf(viewer, "[%d]mat col indices[%D] = %D\n", rank, i, cindices[i]);CHKERRQ(ierr);}
3975   numCIndices = numCIndices ? numCIndices : numRIndices;
3976   for (i = 0; i < numRIndices; i++) {
3977     ierr = PetscViewerASCIIPrintf(viewer, "[%d]", rank);CHKERRQ(ierr);
3978     for (j = 0; j < numCIndices; j++) {
3979 #if defined(PETSC_USE_COMPLEX)
3980       ierr = PetscViewerASCIIPrintf(viewer, " (%g,%g)", (double)PetscRealPart(values[i*numCIndices+j]), (double)PetscImaginaryPart(values[i*numCIndices+j]));CHKERRQ(ierr);
3981 #else
3982       ierr = PetscViewerASCIIPrintf(viewer, " %g", (double)values[i*numCIndices+j]);CHKERRQ(ierr);
3983 #endif
3984     }
3985     ierr = PetscViewerASCIIPrintf(viewer, "\n");CHKERRQ(ierr);
3986   }
3987   PetscFunctionReturn(0);
3988 }
3989 
3990 #undef __FUNCT__
3991 #define __FUNCT__ "indicesPoint_private"
3992 /* . off - The global offset of this point */
3993 PetscErrorCode indicesPoint_private(PetscSection section, PetscInt point, PetscInt off, PetscInt *loff, PetscBool setBC, PetscInt orientation, PetscInt indices[])
3994 {
3995   PetscInt        dof;    /* The number of unknowns on this point */
3996   PetscInt        cdof;   /* The number of constraints on this point */
3997   const PetscInt *cdofs; /* The indices of the constrained dofs on this point */
3998   PetscInt        cind = 0, k;
3999   PetscErrorCode  ierr;
4000 
4001   PetscFunctionBegin;
4002   ierr = PetscSectionGetDof(section, point, &dof);CHKERRQ(ierr);
4003   ierr = PetscSectionGetConstraintDof(section, point, &cdof);CHKERRQ(ierr);
4004   if (!cdof || setBC) {
4005     if (orientation >= 0) {
4006       for (k = 0; k < dof; ++k) indices[*loff+k] = off+k;
4007     } else {
4008       for (k = 0; k < dof; ++k) indices[*loff+dof-k-1] = off+k;
4009     }
4010   } else {
4011     ierr = PetscSectionGetConstraintIndices(section, point, &cdofs);CHKERRQ(ierr);
4012     if (orientation >= 0) {
4013       for (k = 0; k < dof; ++k) {
4014         if ((cind < cdof) && (k == cdofs[cind])) {
4015           /* Insert check for returning constrained indices */
4016           indices[*loff+k] = -(off+k+1);
4017           ++cind;
4018         } else {
4019           indices[*loff+k] = off+k-cind;
4020         }
4021       }
4022     } else {
4023       for (k = 0; k < dof; ++k) {
4024         if ((cind < cdof) && (k == cdofs[cind])) {
4025           /* Insert check for returning constrained indices */
4026           indices[*loff+dof-k-1] = -(off+k+1);
4027           ++cind;
4028         } else {
4029           indices[*loff+dof-k-1] = off+k-cind;
4030         }
4031       }
4032     }
4033   }
4034   *loff += dof;
4035   PetscFunctionReturn(0);
4036 }
4037 
4038 #undef __FUNCT__
4039 #define __FUNCT__ "indicesPointFields_private"
4040 /* . off - The global offset of this point */
4041 PetscErrorCode indicesPointFields_private(PetscSection section, PetscInt point, PetscInt off, PetscInt foffs[], PetscBool setBC, PetscInt orientation, PetscInt indices[])
4042 {
4043   PetscInt       numFields, foff, f;
4044   PetscErrorCode ierr;
4045 
4046   PetscFunctionBegin;
4047   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
4048   for (f = 0, foff = 0; f < numFields; ++f) {
4049     PetscInt        fdof, fcomp, cfdof;
4050     const PetscInt *fcdofs; /* The indices of the constrained dofs for field f on this point */
4051     PetscInt        cind = 0, k, c;
4052 
4053     ierr = PetscSectionGetFieldComponents(section, f, &fcomp);CHKERRQ(ierr);
4054     ierr = PetscSectionGetFieldDof(section, point, f, &fdof);CHKERRQ(ierr);
4055     ierr = PetscSectionGetFieldConstraintDof(section, point, f, &cfdof);CHKERRQ(ierr);
4056     if (!cfdof || setBC) {
4057       if (orientation >= 0) {
4058         for (k = 0; k < fdof; ++k) indices[foffs[f]+k] = off+foff+k;
4059       } else {
4060         for (k = fdof/fcomp-1; k >= 0; --k) {
4061           for (c = 0; c < fcomp; ++c) {
4062             indices[foffs[f]+k*fcomp+c] = off+foff+(fdof/fcomp-1-k)*fcomp+c;
4063           }
4064         }
4065       }
4066     } else {
4067       ierr = PetscSectionGetFieldConstraintIndices(section, point, f, &fcdofs);CHKERRQ(ierr);
4068       if (orientation >= 0) {
4069         for (k = 0; k < fdof; ++k) {
4070           if ((cind < cfdof) && (k == fcdofs[cind])) {
4071             indices[foffs[f]+k] = -(off+foff+k+1);
4072             ++cind;
4073           } else {
4074             indices[foffs[f]+k] = off+foff+k-cind;
4075           }
4076         }
4077       } else {
4078         for (k = fdof/fcomp-1; k >= 0; --k) {
4079           for (c = 0; c < fcomp; ++c) {
4080             if ((cind < cfdof) && ((fdof/fcomp-1-k)*fcomp+c == fcdofs[cind])) {
4081               indices[foffs[f]+k*fcomp+c] = -(off+foff+(fdof/fcomp-1-k)*fcomp+c+1);
4082               ++cind;
4083             } else {
4084               indices[foffs[f]+k*fcomp+c] = off+foff+(fdof/fcomp-1-k)*fcomp+c-cind;
4085             }
4086           }
4087         }
4088       }
4089     }
4090     foff     += fdof - cfdof;
4091     foffs[f] += fdof;
4092   }
4093   PetscFunctionReturn(0);
4094 }
4095 
4096 #undef __FUNCT__
4097 #define __FUNCT__ "DMPlexAnchorsModifyMat"
4098 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[])
4099 {
4100   Mat             cMat;
4101   PetscSection    aSec, cSec;
4102   IS              aIS;
4103   PetscInt        aStart = -1, aEnd = -1;
4104   const PetscInt  *anchors;
4105   PetscInt        numFields, f, p, q, newP = 0;
4106   PetscInt        newNumPoints = 0, newNumIndices = 0;
4107   PetscInt        *newPoints, *indices, *newIndices;
4108   PetscInt        maxAnchor, maxDof;
4109   PetscInt        newOffsets[32];
4110   PetscInt        *pointMatOffsets[32];
4111   PetscInt        *newPointOffsets[32];
4112   PetscScalar     *pointMat[32];
4113   PetscScalar     *newValues,*tmpValues;
4114   PetscBool       anyConstrained = PETSC_FALSE;
4115   PetscErrorCode  ierr;
4116 
4117   PetscFunctionBegin;
4118   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
4119   PetscValidHeaderSpecific(section, PETSC_SECTION_CLASSID, 2);
4120   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
4121 
4122   ierr = DMPlexGetAnchors(dm,&aSec,&aIS);CHKERRQ(ierr);
4123   /* if there are point-to-point constraints */
4124   if (aSec) {
4125     ierr = PetscMemzero(newOffsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
4126     ierr = ISGetIndices(aIS,&anchors);CHKERRQ(ierr);
4127     ierr = PetscSectionGetChart(aSec,&aStart,&aEnd);CHKERRQ(ierr);
4128     /* figure out how many points are going to be in the new element matrix
4129      * (we allow double counting, because it's all just going to be summed
4130      * into the global matrix anyway) */
4131     for (p = 0; p < 2*numPoints; p+=2) {
4132       PetscInt b    = points[p];
4133       PetscInt bDof = 0;
4134 
4135       if (b >= aStart && b < aEnd) {
4136         ierr = PetscSectionGetDof(aSec,b,&bDof);CHKERRQ(ierr);
4137       }
4138       if (bDof) {
4139         /* this point is constrained */
4140         /* it is going to be replaced by its anchors */
4141         PetscInt bOff, q;
4142 
4143         anyConstrained = PETSC_TRUE;
4144         newNumPoints  += bDof;
4145         ierr = PetscSectionGetOffset(aSec,b,&bOff);CHKERRQ(ierr);
4146         for (q = 0; q < bDof; q++) {
4147           PetscInt a = anchors[bOff + q];
4148           PetscInt aDof;
4149 
4150           ierr           = PetscSectionGetDof(section,a,&aDof);CHKERRQ(ierr);
4151           newNumIndices += aDof;
4152           for (f = 0; f < numFields; ++f) {
4153             PetscInt fDof;
4154 
4155             ierr             = PetscSectionGetFieldDof(section, a, f, &fDof);CHKERRQ(ierr);
4156             newOffsets[f+1] += fDof;
4157           }
4158         }
4159       }
4160       else {
4161         /* this point is not constrained */
4162         newNumPoints++;
4163         ierr           = PetscSectionGetDof(section,b,&bDof);CHKERRQ(ierr);
4164         newNumIndices += bDof;
4165         for (f = 0; f < numFields; ++f) {
4166           PetscInt fDof;
4167 
4168           ierr = PetscSectionGetFieldDof(section, b, f, &fDof);CHKERRQ(ierr);
4169           newOffsets[f+1] += fDof;
4170         }
4171       }
4172     }
4173   }
4174   if (!anyConstrained) {
4175     *outNumPoints  = 0;
4176     *outNumIndices = 0;
4177     *outPoints     = NULL;
4178     *outValues     = NULL;
4179     if (aSec) {
4180       ierr = ISRestoreIndices(aIS,&anchors);CHKERRQ(ierr);
4181     }
4182     PetscFunctionReturn(0);
4183   }
4184 
4185   for (f = 1; f < numFields; ++f) newOffsets[f+1] += newOffsets[f];
4186 
4187   if (numFields && newOffsets[numFields] != newNumIndices) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid size for closure %d should be %d", newOffsets[numFields], newNumIndices);
4188 
4189   ierr = DMGetDefaultConstraints(dm, &cSec, &cMat);CHKERRQ(ierr);
4190 
4191   /* output arrays */
4192   ierr = DMGetWorkArray(dm,2*newNumPoints,PETSC_INT,&newPoints);CHKERRQ(ierr);
4193   ierr = DMGetWorkArray(dm,newNumIndices*newNumIndices,PETSC_SCALAR,&newValues);CHKERRQ(ierr);
4194 
4195   /* workspaces */
4196   ierr = DMGetWorkArray(dm,newNumIndices*numIndices,PETSC_SCALAR,&tmpValues);CHKERRQ(ierr);
4197   if (numFields) {
4198     for (f = 0; f < numFields; f++) {
4199       ierr = DMGetWorkArray(dm,numPoints+1,PETSC_INT,&pointMatOffsets[f]);CHKERRQ(ierr);
4200       ierr = DMGetWorkArray(dm,numPoints+1,PETSC_INT,&newPointOffsets[f]);CHKERRQ(ierr);
4201     }
4202   }
4203   else {
4204     ierr = DMGetWorkArray(dm,numPoints+1,PETSC_INT,&pointMatOffsets[0]);CHKERRQ(ierr);
4205     ierr = DMGetWorkArray(dm,numPoints,PETSC_INT,&newPointOffsets[0]);CHKERRQ(ierr);
4206   }
4207 
4208   /* get workspaces for the point-to-point matrices */
4209   if (numFields) {
4210     for (p = 0; p < numPoints; p++) {
4211       PetscInt b    = points[2*p];
4212       PetscInt bDof = 0;
4213 
4214       if (b >= aStart && b < aEnd) {
4215         ierr = PetscSectionGetDof(aSec, b, &bDof);CHKERRQ(ierr);
4216       }
4217       if (bDof) {
4218         for (f = 0; f < numFields; f++) {
4219           PetscInt fDof, q, bOff, allFDof = 0;
4220 
4221           ierr = PetscSectionGetFieldDof(section, b, f, &fDof);CHKERRQ(ierr);
4222           ierr = PetscSectionGetOffset(aSec, b, &bOff);CHKERRQ(ierr);
4223           for (q = 0; q < bDof; q++) {
4224             PetscInt a = anchors[bOff + q];
4225             PetscInt aFDof;
4226 
4227             ierr     = PetscSectionGetFieldDof(section, a, f, &aFDof);CHKERRQ(ierr);
4228             allFDof += aFDof;
4229           }
4230           newPointOffsets[f][p+1] = allFDof;
4231           pointMatOffsets[f][p+1] = fDof * allFDof;
4232         }
4233       }
4234       else {
4235         for (f = 0; f < numFields; f++) {
4236           PetscInt fDof;
4237 
4238           ierr = PetscSectionGetFieldDof(section, b, f, &fDof);CHKERRQ(ierr);
4239           newPointOffsets[f][p+1] = fDof;
4240           pointMatOffsets[f][p+1] = 0;
4241         }
4242       }
4243     }
4244     for (f = 0; f < numFields; f++) {
4245       newPointOffsets[f][0] = 0;
4246       pointMatOffsets[f][0] = 0;
4247       for (p = 0; p < numPoints; p++) {
4248         newPointOffsets[f][p+1] += newPointOffsets[f][p];
4249         pointMatOffsets[f][p+1] += pointMatOffsets[f][p];
4250       }
4251       ierr = DMGetWorkArray(dm,pointMatOffsets[f][numPoints],PETSC_SCALAR,&pointMat[f]);CHKERRQ(ierr);
4252     }
4253   }
4254   else {
4255     for (p = 0; p < numPoints; p++) {
4256       PetscInt b    = points[2*p];
4257       PetscInt bDof = 0;
4258 
4259       if (b >= aStart && b < aEnd) {
4260         ierr = PetscSectionGetDof(aSec, b, &bDof);CHKERRQ(ierr);
4261       }
4262       if (bDof) {
4263         PetscInt dof, bOff, q, allDof = 0;
4264 
4265         ierr = PetscSectionGetDof(section, b, &dof);CHKERRQ(ierr);
4266         ierr = PetscSectionGetOffset(aSec, b, &bOff);CHKERRQ(ierr);
4267         for (q = 0; q < bDof; q++) {
4268           PetscInt a = anchors[bOff + q], aDof;
4269 
4270           ierr    = PetscSectionGetDof(section, a, &aDof);CHKERRQ(ierr);
4271           allDof += aDof;
4272         }
4273         newPointOffsets[0][p+1] = allDof;
4274         pointMatOffsets[0][p+1] = dof * allDof;
4275       }
4276       else {
4277         PetscInt dof;
4278 
4279         ierr = PetscSectionGetDof(section, b, &dof);CHKERRQ(ierr);
4280         newPointOffsets[0][p+1] = dof;
4281         pointMatOffsets[0][p+1] = 0;
4282       }
4283     }
4284     newPointOffsets[0][0] = 0;
4285     pointMatOffsets[0][0] = 0;
4286     for (p = 0; p < numPoints; p++) {
4287       newPointOffsets[0][p+1] += newPointOffsets[0][p];
4288       pointMatOffsets[0][p+1] += pointMatOffsets[0][p];
4289     }
4290     ierr = DMGetWorkArray(dm,pointMatOffsets[0][numPoints],PETSC_SCALAR,&pointMat[0]);CHKERRQ(ierr);
4291   }
4292 
4293   /* get the point-to-point matrices; construct newPoints */
4294   ierr = PetscSectionGetMaxDof(aSec, &maxAnchor);CHKERRQ(ierr);
4295   ierr = PetscSectionGetMaxDof(section, &maxDof);CHKERRQ(ierr);
4296   ierr = DMGetWorkArray(dm,maxDof,PETSC_INT,&indices);CHKERRQ(ierr);
4297   ierr = DMGetWorkArray(dm,maxAnchor*maxDof,PETSC_INT,&newIndices);CHKERRQ(ierr);
4298   if (numFields) {
4299     for (p = 0, newP = 0; p < numPoints; p++) {
4300       PetscInt b    = points[2*p];
4301       PetscInt o    = points[2*p+1];
4302       PetscInt bDof = 0;
4303 
4304       if (b >= aStart && b < aEnd) {
4305         ierr = PetscSectionGetDof(aSec, b, &bDof);CHKERRQ(ierr);
4306       }
4307       if (bDof) {
4308         PetscInt fStart[32], fEnd[32], fAnchorStart[32], fAnchorEnd[32], bOff, q;
4309 
4310         fStart[0] = 0;
4311         fEnd[0]   = 0;
4312         for (f = 0; f < numFields; f++) {
4313           PetscInt fDof;
4314 
4315           ierr        = PetscSectionGetFieldDof(cSec, b, f, &fDof);CHKERRQ(ierr);
4316           fStart[f+1] = fStart[f] + fDof;
4317           fEnd[f+1]   = fStart[f+1];
4318         }
4319         ierr = PetscSectionGetOffset(cSec, b, &bOff);CHKERRQ(ierr);
4320         ierr = indicesPointFields_private(cSec, b, bOff, fEnd, PETSC_TRUE, o, indices);CHKERRQ(ierr);
4321 
4322         fAnchorStart[0] = 0;
4323         fAnchorEnd[0]   = 0;
4324         for (f = 0; f < numFields; f++) {
4325           PetscInt fDof = newPointOffsets[f][p + 1] - newPointOffsets[f][p];
4326 
4327           fAnchorStart[f+1] = fAnchorStart[f] + fDof;
4328           fAnchorEnd[f+1]   = fAnchorStart[f + 1];
4329         }
4330         ierr = PetscSectionGetOffset (aSec, b, &bOff);CHKERRQ(ierr);
4331         for (q = 0; q < bDof; q++) {
4332           PetscInt a = anchors[bOff + q], aOff;
4333 
4334           /* we take the orientation of ap into account in the order that we constructed the indices above: the newly added points have no orientation */
4335           newPoints[2*(newP + q)]     = a;
4336           newPoints[2*(newP + q) + 1] = 0;
4337           ierr = PetscSectionGetOffset(section, a, &aOff);CHKERRQ(ierr);
4338           ierr = indicesPointFields_private(section, a, aOff, fAnchorEnd, PETSC_TRUE, 0, newIndices);CHKERRQ(ierr);
4339         }
4340         newP += bDof;
4341 
4342         /* get the point-to-point submatrix */
4343         for (f = 0; f < numFields; f++) {
4344           ierr = MatGetValues(cMat,fEnd[f]-fStart[f],indices + fStart[f],fAnchorEnd[f] - fAnchorStart[f],newIndices + fAnchorStart[f],pointMat[f] + pointMatOffsets[f][p]);CHKERRQ(ierr);
4345         }
4346       }
4347       else {
4348         newPoints[2 * newP]     = b;
4349         newPoints[2 * newP + 1] = o;
4350         newP++;
4351       }
4352     }
4353   } else {
4354     for (p = 0; p < numPoints; p++) {
4355       PetscInt b    = points[2*p];
4356       PetscInt o    = points[2*p+1];
4357       PetscInt bDof = 0;
4358 
4359       if (b >= aStart && b < aEnd) {
4360         ierr = PetscSectionGetDof(aSec, b, &bDof);CHKERRQ(ierr);
4361       }
4362       if (bDof) {
4363         PetscInt bEnd = 0, bAnchorEnd = 0, bOff;
4364 
4365         ierr = PetscSectionGetOffset(cSec, b, &bOff);CHKERRQ(ierr);
4366         ierr = indicesPoint_private(cSec, b, bOff, &bEnd, PETSC_TRUE, o, indices);CHKERRQ(ierr);
4367 
4368         ierr = PetscSectionGetOffset (aSec, b, &bOff);CHKERRQ(ierr);
4369         for (q = 0; q < bDof; q++) {
4370           PetscInt a = anchors[bOff + q], aOff;
4371 
4372           /* we take the orientation of ap into account in the order that we constructed the indices above: the newly added points have no orientation */
4373 
4374           newPoints[2*(newP + q)]     = a;
4375           newPoints[2*(newP + q) + 1] = 0;
4376           ierr = PetscSectionGetOffset(section, a, &aOff);CHKERRQ(ierr);
4377           ierr = indicesPoint_private(section, a, aOff, &bAnchorEnd, PETSC_TRUE, 0, newIndices);CHKERRQ(ierr);
4378         }
4379         newP += bDof;
4380 
4381         /* get the point-to-point submatrix */
4382         ierr = MatGetValues(cMat,bEnd,indices,bAnchorEnd,newIndices,pointMat[0] + pointMatOffsets[0][p]);CHKERRQ(ierr);
4383       }
4384       else {
4385         newPoints[2 * newP]     = b;
4386         newPoints[2 * newP + 1] = o;
4387         newP++;
4388       }
4389     }
4390   }
4391 
4392   ierr = PetscMemzero(tmpValues,newNumIndices*numIndices*sizeof(*tmpValues));CHKERRQ(ierr);
4393   /* multiply constraints on the right */
4394   if (numFields) {
4395     for (f = 0; f < numFields; f++) {
4396       PetscInt oldOff = offsets[f];
4397 
4398       for (p = 0; p < numPoints; p++) {
4399         PetscInt cStart = newPointOffsets[f][p];
4400         PetscInt b      = points[2 * p];
4401         PetscInt c, r, k;
4402         PetscInt dof;
4403 
4404         ierr = PetscSectionGetFieldDof(section,b,f,&dof);CHKERRQ(ierr);
4405         if (pointMatOffsets[f][p] < pointMatOffsets[f][p + 1]) {
4406           PetscInt nCols         = newPointOffsets[f][p+1]-cStart;
4407           const PetscScalar *mat = pointMat[f] + pointMatOffsets[f][p];
4408 
4409           for (r = 0; r < numIndices; r++) {
4410             for (c = 0; c < nCols; c++) {
4411               for (k = 0; k < dof; k++) {
4412                 tmpValues[r * newNumIndices + cStart + c] += mat[k * nCols + c] * values[r * numIndices + oldOff + k];
4413               }
4414             }
4415           }
4416         }
4417         else {
4418           /* copy this column as is */
4419           for (r = 0; r < numIndices; r++) {
4420             for (c = 0; c < dof; c++) {
4421               tmpValues[r * newNumIndices + cStart + c] = values[r * numIndices + oldOff + c];
4422             }
4423           }
4424         }
4425         oldOff += dof;
4426       }
4427     }
4428   }
4429   else {
4430     PetscInt oldOff = 0;
4431     for (p = 0; p < numPoints; p++) {
4432       PetscInt cStart = newPointOffsets[0][p];
4433       PetscInt b      = points[2 * p];
4434       PetscInt c, r, k;
4435       PetscInt dof;
4436 
4437       ierr = PetscSectionGetDof(section,b,&dof);CHKERRQ(ierr);
4438       if (pointMatOffsets[0][p] < pointMatOffsets[0][p + 1]) {
4439         PetscInt nCols         = newPointOffsets[0][p+1]-cStart;
4440         const PetscScalar *mat = pointMat[0] + pointMatOffsets[0][p];
4441 
4442         for (r = 0; r < numIndices; r++) {
4443           for (c = 0; c < nCols; c++) {
4444             for (k = 0; k < dof; k++) {
4445               tmpValues[r * newNumIndices + cStart + c] += mat[k * nCols + c] * values[r * numIndices + oldOff + k];
4446             }
4447           }
4448         }
4449       }
4450       else {
4451         /* copy this column as is */
4452         for (r = 0; r < numIndices; r++) {
4453           for (c = 0; c < dof; c++) {
4454             tmpValues[r * newNumIndices + cStart + c] = values[r * numIndices + oldOff + c];
4455           }
4456         }
4457       }
4458       oldOff += dof;
4459     }
4460   }
4461 
4462   ierr = PetscMemzero(newValues,newNumIndices*newNumIndices*sizeof(*newValues));CHKERRQ(ierr);
4463   /* multiply constraints transpose on the left */
4464   if (numFields) {
4465     for (f = 0; f < numFields; f++) {
4466       PetscInt oldOff = offsets[f];
4467 
4468       for (p = 0; p < numPoints; p++) {
4469         PetscInt rStart = newPointOffsets[f][p];
4470         PetscInt b      = points[2 * p];
4471         PetscInt c, r, k;
4472         PetscInt dof;
4473 
4474         ierr = PetscSectionGetFieldDof(section,b,f,&dof);CHKERRQ(ierr);
4475         if (pointMatOffsets[f][p] < pointMatOffsets[f][p + 1]) {
4476           PetscInt nRows                        = newPointOffsets[f][p+1]-rStart;
4477           const PetscScalar *PETSC_RESTRICT mat = pointMat[f] + pointMatOffsets[f][p];
4478 
4479           for (r = 0; r < nRows; r++) {
4480             for (c = 0; c < newNumIndices; c++) {
4481               for (k = 0; k < dof; k++) {
4482                 newValues[(rStart + r) * newNumIndices + c] += mat[k * nRows + r] * tmpValues[(oldOff + k) * newNumIndices + c];
4483               }
4484             }
4485           }
4486         }
4487         else {
4488           /* copy this row as is */
4489           for (r = 0; r < dof; r++) {
4490             for (c = 0; c < newNumIndices; c++) {
4491               newValues[(rStart + r) * newNumIndices + c] = tmpValues[(oldOff + r) * newNumIndices + c];
4492             }
4493           }
4494         }
4495         oldOff += dof;
4496       }
4497     }
4498   }
4499   else {
4500     PetscInt oldOff = 0;
4501 
4502     for (p = 0; p < numPoints; p++) {
4503       PetscInt rStart = newPointOffsets[0][p];
4504       PetscInt b      = points[2 * p];
4505       PetscInt c, r, k;
4506       PetscInt dof;
4507 
4508       ierr = PetscSectionGetDof(section,b,&dof);CHKERRQ(ierr);
4509       if (pointMatOffsets[0][p] < pointMatOffsets[0][p + 1]) {
4510         PetscInt nRows                        = newPointOffsets[0][p+1]-rStart;
4511         const PetscScalar *PETSC_RESTRICT mat = pointMat[0] + pointMatOffsets[0][p];
4512 
4513         for (r = 0; r < nRows; r++) {
4514           for (c = 0; c < newNumIndices; c++) {
4515             for (k = 0; k < dof; k++) {
4516               newValues[(rStart + r) * newNumIndices + c] += mat[k * nRows + r] * tmpValues[(oldOff + k) * newNumIndices + c];
4517             }
4518           }
4519         }
4520       }
4521       else {
4522         /* copy this row as is */
4523         for (r = 0; r < dof; c++) {
4524           for (c = 0; c < newNumIndices; c++) {
4525             newValues[(rStart + r) * newNumIndices + c] = tmpValues[(oldOff + r) * newNumIndices + c];
4526           }
4527         }
4528       }
4529       oldOff += dof;
4530     }
4531   }
4532 
4533   /* clean up */
4534   ierr = DMRestoreWorkArray(dm,maxDof,PETSC_INT,&indices);CHKERRQ(ierr);
4535   ierr = DMRestoreWorkArray(dm,maxAnchor*maxDof,PETSC_INT,&newIndices);CHKERRQ(ierr);
4536   if (numFields) {
4537     for (f = 0; f < numFields; f++) {
4538       ierr = DMRestoreWorkArray(dm,pointMatOffsets[f][numPoints],PETSC_SCALAR,&pointMat[f]);CHKERRQ(ierr);
4539       ierr = DMRestoreWorkArray(dm,numPoints+1,PETSC_INT,&pointMatOffsets[f]);CHKERRQ(ierr);
4540       ierr = DMRestoreWorkArray(dm,numPoints+1,PETSC_INT,&newPointOffsets[f]);CHKERRQ(ierr);
4541     }
4542   }
4543   else {
4544     ierr = DMRestoreWorkArray(dm,pointMatOffsets[0][numPoints],PETSC_SCALAR,&pointMat[0]);CHKERRQ(ierr);
4545     ierr = DMRestoreWorkArray(dm,numPoints+1,PETSC_INT,&pointMatOffsets[0]);CHKERRQ(ierr);
4546     ierr = DMRestoreWorkArray(dm,numPoints+1,PETSC_INT,&newPointOffsets[0]);CHKERRQ(ierr);
4547   }
4548   ierr = DMRestoreWorkArray(dm,newNumIndices*numIndices,PETSC_SCALAR,&tmpValues);CHKERRQ(ierr);
4549   ierr = ISRestoreIndices(aIS,&anchors);CHKERRQ(ierr);
4550 
4551   /* output */
4552   *outNumPoints  = newNumPoints;
4553   *outNumIndices = newNumIndices;
4554   *outPoints     = newPoints;
4555   *outValues     = newValues;
4556   for (f = 0; f < numFields; f++) {
4557     offsets[f] = newOffsets[f];
4558   }
4559   PetscFunctionReturn(0);
4560 }
4561 
4562 #undef __FUNCT__
4563 #define __FUNCT__ "DMPlexMatSetClosure"
4564 /*@C
4565   DMPlexMatSetClosure - Set an array of the values on the closure of 'point'
4566 
4567   Not collective
4568 
4569   Input Parameters:
4570 + dm - The DM
4571 . section - The section describing the layout in v, or NULL to use the default section
4572 . globalSection - The section describing the layout in v, or NULL to use the default global section
4573 . A - The matrix
4574 . point - The sieve point in the DM
4575 . values - The array of values
4576 - mode - The insert mode, where INSERT_ALL_VALUES and ADD_ALL_VALUES also overwrite boundary conditions
4577 
4578   Fortran Notes:
4579   This routine is only available in Fortran 90, and you must include petsc.h90 in your code.
4580 
4581   Level: intermediate
4582 
4583 .seealso DMPlexVecGetClosure(), DMPlexVecSetClosure()
4584 @*/
4585 PetscErrorCode DMPlexMatSetClosure(DM dm, PetscSection section, PetscSection globalSection, Mat A, PetscInt point, const PetscScalar values[], InsertMode mode)
4586 {
4587   DM_Plex        *mesh   = (DM_Plex*) dm->data;
4588   PetscSection    clSection;
4589   IS              clPoints;
4590   PetscInt       *points = NULL, *newPoints;
4591   const PetscInt *clp;
4592   PetscInt       *indices;
4593   PetscInt        offsets[32];
4594   PetscInt        numFields, numPoints, newNumPoints, numIndices, newNumIndices, dof, off, globalOff, pStart, pEnd, p, q, f;
4595   PetscScalar    *newValues;
4596   PetscErrorCode  ierr;
4597 
4598   PetscFunctionBegin;
4599   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
4600   if (!section) {ierr = DMGetDefaultSection(dm, &section);CHKERRQ(ierr);}
4601   PetscValidHeaderSpecific(section, PETSC_SECTION_CLASSID, 2);
4602   if (!globalSection) {ierr = DMGetDefaultGlobalSection(dm, &globalSection);CHKERRQ(ierr);}
4603   PetscValidHeaderSpecific(globalSection, PETSC_SECTION_CLASSID, 3);
4604   PetscValidHeaderSpecific(A, MAT_CLASSID, 4);
4605   ierr = PetscSectionGetNumFields(section, &numFields);CHKERRQ(ierr);
4606   if (numFields > 31) SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Number of fields %D limited to 31", numFields);
4607   ierr = PetscMemzero(offsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
4608   ierr = PetscSectionGetClosureIndex(section, (PetscObject) dm, &clSection, &clPoints);CHKERRQ(ierr);
4609   if (!clPoints) {
4610     ierr = DMPlexGetTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
4611     /* Compress out points not in the section */
4612     ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
4613     for (p = 0, q = 0; p < numPoints*2; p += 2) {
4614       if ((points[p] >= pStart) && (points[p] < pEnd)) {
4615         points[q*2]   = points[p];
4616         points[q*2+1] = points[p+1];
4617         ++q;
4618       }
4619     }
4620     numPoints = q;
4621   } else {
4622     PetscInt dof, off;
4623 
4624     ierr = PetscSectionGetDof(clSection, point, &dof);CHKERRQ(ierr);
4625     numPoints = dof/2;
4626     ierr = PetscSectionGetOffset(clSection, point, &off);CHKERRQ(ierr);
4627     ierr = ISGetIndices(clPoints, &clp);CHKERRQ(ierr);
4628     points = (PetscInt *) &clp[off];
4629   }
4630   for (p = 0, numIndices = 0; p < numPoints*2; p += 2) {
4631     PetscInt fdof;
4632 
4633     ierr = PetscSectionGetDof(section, points[p], &dof);CHKERRQ(ierr);
4634     for (f = 0; f < numFields; ++f) {
4635       ierr          = PetscSectionGetFieldDof(section, points[p], f, &fdof);CHKERRQ(ierr);
4636       offsets[f+1] += fdof;
4637     }
4638     numIndices += dof;
4639   }
4640   for (f = 1; f < numFields; ++f) offsets[f+1] += offsets[f];
4641 
4642   if (numFields && offsets[numFields] != numIndices) SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "Invalid size for closure %d should be %d", offsets[numFields], numIndices);
4643   ierr = DMPlexAnchorsModifyMat(dm,section,numPoints,numIndices,points,values,&newNumPoints,&newNumIndices,&newPoints,&newValues,offsets);CHKERRQ(ierr);
4644   if (newNumPoints) {
4645     if (!clPoints) {
4646       ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
4647     } else {
4648       ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);
4649     }
4650     numPoints  = newNumPoints;
4651     numIndices = newNumIndices;
4652     points     = newPoints;
4653     values     = newValues;
4654   }
4655   ierr = DMGetWorkArray(dm, numIndices, PETSC_INT, &indices);CHKERRQ(ierr);
4656   if (numFields) {
4657     for (p = 0; p < numPoints*2; p += 2) {
4658       PetscInt o = points[p+1];
4659       ierr = PetscSectionGetOffset(globalSection, points[p], &globalOff);CHKERRQ(ierr);
4660       indicesPointFields_private(section, points[p], globalOff < 0 ? -(globalOff+1) : globalOff, offsets, PETSC_FALSE, o, indices);
4661     }
4662   } else {
4663     for (p = 0, off = 0; p < numPoints*2; p += 2) {
4664       PetscInt o = points[p+1];
4665       ierr = PetscSectionGetOffset(globalSection, points[p], &globalOff);CHKERRQ(ierr);
4666       indicesPoint_private(section, points[p], globalOff < 0 ? -(globalOff+1) : globalOff, &off, PETSC_FALSE, o, indices);
4667     }
4668   }
4669   if (mesh->printSetValues) {ierr = DMPlexPrintMatSetValues(PETSC_VIEWER_STDOUT_SELF, A, point, numIndices, indices, 0, NULL, values);CHKERRQ(ierr);}
4670   ierr = MatSetValues(A, numIndices, indices, numIndices, indices, values, mode);
4671   if (mesh->printFEM > 1) {
4672     PetscInt i;
4673     ierr = PetscPrintf(PETSC_COMM_SELF, "  Indices:");CHKERRQ(ierr);
4674     for (i = 0; i < numIndices; ++i) {ierr = PetscPrintf(PETSC_COMM_SELF, " %d", indices[i]);CHKERRQ(ierr);}
4675     ierr = PetscPrintf(PETSC_COMM_SELF, "\n");CHKERRQ(ierr);
4676   }
4677   if (ierr) {
4678     PetscMPIInt    rank;
4679     PetscErrorCode ierr2;
4680 
4681     ierr2 = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &rank);CHKERRQ(ierr2);
4682     ierr2 = (*PetscErrorPrintf)("[%d]ERROR in DMPlexMatSetClosure\n", rank);CHKERRQ(ierr2);
4683     ierr2 = DMPlexPrintMatSetValues(PETSC_VIEWER_STDERR_SELF, A, point, numIndices, indices, 0, NULL, values);CHKERRQ(ierr2);
4684     ierr2 = DMRestoreWorkArray(dm, numIndices, PETSC_INT, &indices);CHKERRQ(ierr2);
4685     CHKERRQ(ierr);
4686   }
4687   if (newNumPoints) {
4688     ierr = DMRestoreWorkArray(dm,newNumIndices*newNumIndices,PETSC_SCALAR,&newValues);CHKERRQ(ierr);
4689     ierr = DMRestoreWorkArray(dm,2*newNumPoints,PETSC_INT,&newPoints);CHKERRQ(ierr);
4690   }
4691   else {
4692     if (!clPoints) {
4693       ierr = DMPlexRestoreTransitiveClosure(dm, point, PETSC_TRUE, &numPoints, &points);CHKERRQ(ierr);
4694     } else {
4695       ierr = ISRestoreIndices(clPoints, &clp);CHKERRQ(ierr);
4696     }
4697   }
4698   ierr = DMRestoreWorkArray(dm, numIndices, PETSC_INT, &indices);CHKERRQ(ierr);
4699   PetscFunctionReturn(0);
4700 }
4701 
4702 #undef __FUNCT__
4703 #define __FUNCT__ "DMPlexMatSetClosureRefined"
4704 PetscErrorCode DMPlexMatSetClosureRefined(DM dmf, PetscSection fsection, PetscSection globalFSection, DM dmc, PetscSection csection, PetscSection globalCSection, Mat A, PetscInt point, const PetscScalar values[], InsertMode mode)
4705 {
4706   DM_Plex        *mesh   = (DM_Plex*) dmf->data;
4707   PetscInt       *fpoints = NULL, *ftotpoints = NULL;
4708   PetscInt       *cpoints = NULL;
4709   PetscInt       *findices, *cindices;
4710   PetscInt        foffsets[32], coffsets[32];
4711   CellRefiner     cellRefiner;
4712   PetscInt        numFields, numSubcells, maxFPoints, numFPoints, numCPoints, numFIndices, numCIndices, dof, off, globalOff, pStart, pEnd, p, q, r, s, f;
4713   PetscErrorCode  ierr;
4714 
4715   PetscFunctionBegin;
4716   PetscValidHeaderSpecific(dmf, DM_CLASSID, 1);
4717   PetscValidHeaderSpecific(dmc, DM_CLASSID, 4);
4718   if (!fsection) {ierr = DMGetDefaultSection(dmf, &fsection);CHKERRQ(ierr);}
4719   PetscValidHeaderSpecific(fsection, PETSC_SECTION_CLASSID, 2);
4720   if (!csection) {ierr = DMGetDefaultSection(dmc, &csection);CHKERRQ(ierr);}
4721   PetscValidHeaderSpecific(csection, PETSC_SECTION_CLASSID, 5);
4722   if (!globalFSection) {ierr = DMGetDefaultGlobalSection(dmf, &globalFSection);CHKERRQ(ierr);}
4723   PetscValidHeaderSpecific(globalFSection, PETSC_SECTION_CLASSID, 3);
4724   if (!globalCSection) {ierr = DMGetDefaultGlobalSection(dmc, &globalCSection);CHKERRQ(ierr);}
4725   PetscValidHeaderSpecific(globalCSection, PETSC_SECTION_CLASSID, 6);
4726   PetscValidHeaderSpecific(A, MAT_CLASSID, 7);
4727   ierr = PetscSectionGetNumFields(fsection, &numFields);CHKERRQ(ierr);
4728   if (numFields > 31) SETERRQ1(PetscObjectComm((PetscObject)dmf), PETSC_ERR_ARG_OUTOFRANGE, "Number of fields %D limited to 31", numFields);
4729   ierr = PetscMemzero(foffsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
4730   ierr = PetscMemzero(coffsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
4731   /* Column indices */
4732   ierr = DMPlexGetTransitiveClosure(dmc, point, PETSC_TRUE, &numCPoints, &cpoints);CHKERRQ(ierr);
4733   maxFPoints = numCPoints;
4734   /* Compress out points not in the section */
4735   /*   TODO: Squeeze out points with 0 dof as well */
4736   ierr = PetscSectionGetChart(csection, &pStart, &pEnd);CHKERRQ(ierr);
4737   for (p = 0, q = 0; p < numCPoints*2; p += 2) {
4738     if ((cpoints[p] >= pStart) && (cpoints[p] < pEnd)) {
4739       cpoints[q*2]   = cpoints[p];
4740       cpoints[q*2+1] = cpoints[p+1];
4741       ++q;
4742     }
4743   }
4744   numCPoints = q;
4745   for (p = 0, numCIndices = 0; p < numCPoints*2; p += 2) {
4746     PetscInt fdof;
4747 
4748     ierr = PetscSectionGetDof(csection, cpoints[p], &dof);CHKERRQ(ierr);
4749     if (!dof) continue;
4750     for (f = 0; f < numFields; ++f) {
4751       ierr           = PetscSectionGetFieldDof(csection, cpoints[p], f, &fdof);CHKERRQ(ierr);
4752       coffsets[f+1] += fdof;
4753     }
4754     numCIndices += dof;
4755   }
4756   for (f = 1; f < numFields; ++f) coffsets[f+1] += coffsets[f];
4757   /* Row indices */
4758   ierr = DMPlexGetCellRefiner_Internal(dmc, &cellRefiner);CHKERRQ(ierr);
4759   ierr = CellRefinerGetAffineTransforms_Internal(cellRefiner, &numSubcells, NULL, NULL, NULL);CHKERRQ(ierr);
4760   ierr = DMGetWorkArray(dmf, maxFPoints*2*numSubcells, PETSC_INT, &ftotpoints);CHKERRQ(ierr);
4761   for (r = 0, q = 0; r < numSubcells; ++r) {
4762     /* TODO Map from coarse to fine cells */
4763     ierr = DMPlexGetTransitiveClosure(dmf, point*numSubcells + r, PETSC_TRUE, &numFPoints, &fpoints);CHKERRQ(ierr);
4764     /* Compress out points not in the section */
4765     ierr = PetscSectionGetChart(fsection, &pStart, &pEnd);CHKERRQ(ierr);
4766     for (p = 0; p < numFPoints*2; p += 2) {
4767       if ((fpoints[p] >= pStart) && (fpoints[p] < pEnd)) {
4768         ierr = PetscSectionGetDof(fsection, fpoints[p], &dof);CHKERRQ(ierr);
4769         if (!dof) continue;
4770         for (s = 0; s < q; ++s) if (fpoints[p] == ftotpoints[s*2]) break;
4771         if (s < q) continue;
4772         ftotpoints[q*2]   = fpoints[p];
4773         ftotpoints[q*2+1] = fpoints[p+1];
4774         ++q;
4775       }
4776     }
4777     ierr = DMPlexRestoreTransitiveClosure(dmf, point, PETSC_TRUE, &numFPoints, &fpoints);CHKERRQ(ierr);
4778   }
4779   numFPoints = q;
4780   for (p = 0, numFIndices = 0; p < numFPoints*2; p += 2) {
4781     PetscInt fdof;
4782 
4783     ierr = PetscSectionGetDof(fsection, ftotpoints[p], &dof);CHKERRQ(ierr);
4784     if (!dof) continue;
4785     for (f = 0; f < numFields; ++f) {
4786       ierr           = PetscSectionGetFieldDof(fsection, ftotpoints[p], f, &fdof);CHKERRQ(ierr);
4787       foffsets[f+1] += fdof;
4788     }
4789     numFIndices += dof;
4790   }
4791   for (f = 1; f < numFields; ++f) foffsets[f+1] += foffsets[f];
4792 
4793   if (numFields && foffsets[numFields] != numFIndices) SETERRQ2(PetscObjectComm((PetscObject)dmf), PETSC_ERR_PLIB, "Invalid size for closure %d should be %d", foffsets[numFields], numFIndices);
4794   if (numFields && coffsets[numFields] != numCIndices) SETERRQ2(PetscObjectComm((PetscObject)dmc), PETSC_ERR_PLIB, "Invalid size for closure %d should be %d", coffsets[numFields], numCIndices);
4795   ierr = DMGetWorkArray(dmf, numFIndices, PETSC_INT, &findices);CHKERRQ(ierr);
4796   ierr = DMGetWorkArray(dmc, numCIndices, PETSC_INT, &cindices);CHKERRQ(ierr);
4797   if (numFields) {
4798     for (p = 0; p < numFPoints*2; p += 2) {
4799       PetscInt o = ftotpoints[p+1];
4800       ierr = PetscSectionGetOffset(globalFSection, ftotpoints[p], &globalOff);CHKERRQ(ierr);
4801       indicesPointFields_private(fsection, ftotpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, foffsets, PETSC_FALSE, o, findices);
4802     }
4803     for (p = 0; p < numCPoints*2; p += 2) {
4804       PetscInt o = cpoints[p+1];
4805       ierr = PetscSectionGetOffset(globalCSection, cpoints[p], &globalOff);CHKERRQ(ierr);
4806       indicesPointFields_private(csection, cpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, coffsets, PETSC_FALSE, o, cindices);
4807     }
4808   } else {
4809     for (p = 0, off = 0; p < numFPoints*2; p += 2) {
4810       PetscInt o = ftotpoints[p+1];
4811       ierr = PetscSectionGetOffset(globalFSection, ftotpoints[p], &globalOff);CHKERRQ(ierr);
4812       indicesPoint_private(fsection, ftotpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, &off, PETSC_FALSE, o, findices);
4813     }
4814     for (p = 0, off = 0; p < numCPoints*2; p += 2) {
4815       PetscInt o = cpoints[p+1];
4816       ierr = PetscSectionGetOffset(globalCSection, cpoints[p], &globalOff);CHKERRQ(ierr);
4817       indicesPoint_private(csection, cpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, &off, PETSC_FALSE, o, cindices);
4818     }
4819   }
4820   if (mesh->printSetValues) {ierr = DMPlexPrintMatSetValues(PETSC_VIEWER_STDOUT_SELF, A, point, numFIndices, findices, numCIndices, cindices, values);CHKERRQ(ierr);}
4821   ierr = MatSetValues(A, numFIndices, findices, numCIndices, cindices, values, mode);
4822   if (ierr) {
4823     PetscMPIInt    rank;
4824     PetscErrorCode ierr2;
4825 
4826     ierr2 = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &rank);CHKERRQ(ierr2);
4827     ierr2 = (*PetscErrorPrintf)("[%d]ERROR in DMPlexMatSetClosure\n", rank);CHKERRQ(ierr2);
4828     ierr2 = DMPlexPrintMatSetValues(PETSC_VIEWER_STDERR_SELF, A, point, numFIndices, findices, numCIndices, cindices, values);CHKERRQ(ierr2);
4829     ierr2 = DMRestoreWorkArray(dmf, numFIndices, PETSC_INT, &findices);CHKERRQ(ierr2);
4830     ierr2 = DMRestoreWorkArray(dmc, numCIndices, PETSC_INT, &cindices);CHKERRQ(ierr2);
4831     CHKERRQ(ierr);
4832   }
4833   ierr = DMRestoreWorkArray(dmf, numCPoints*2*4, PETSC_INT, &ftotpoints);CHKERRQ(ierr);
4834   ierr = DMPlexRestoreTransitiveClosure(dmc, point, PETSC_TRUE, &numCPoints, &cpoints);CHKERRQ(ierr);
4835   ierr = DMRestoreWorkArray(dmf, numFIndices, PETSC_INT, &findices);CHKERRQ(ierr);
4836   ierr = DMRestoreWorkArray(dmc, numCIndices, PETSC_INT, &cindices);CHKERRQ(ierr);
4837   PetscFunctionReturn(0);
4838 }
4839 
4840 #undef __FUNCT__
4841 #define __FUNCT__ "DMPlexMatGetClosureIndicesRefined"
4842 PetscErrorCode DMPlexMatGetClosureIndicesRefined(DM dmf, PetscSection fsection, PetscSection globalFSection, DM dmc, PetscSection csection, PetscSection globalCSection, PetscInt point, PetscInt cindices[], PetscInt findices[])
4843 {
4844   PetscInt      *fpoints = NULL, *ftotpoints = NULL;
4845   PetscInt      *cpoints = NULL;
4846   PetscInt       foffsets[32], coffsets[32];
4847   CellRefiner    cellRefiner;
4848   PetscInt       numFields, numSubcells, maxFPoints, numFPoints, numCPoints, numFIndices, numCIndices, dof, off, globalOff, pStart, pEnd, p, q, r, s, f;
4849   PetscErrorCode ierr;
4850 
4851   PetscFunctionBegin;
4852   PetscValidHeaderSpecific(dmf, DM_CLASSID, 1);
4853   PetscValidHeaderSpecific(dmc, DM_CLASSID, 4);
4854   if (!fsection) {ierr = DMGetDefaultSection(dmf, &fsection);CHKERRQ(ierr);}
4855   PetscValidHeaderSpecific(fsection, PETSC_SECTION_CLASSID, 2);
4856   if (!csection) {ierr = DMGetDefaultSection(dmc, &csection);CHKERRQ(ierr);}
4857   PetscValidHeaderSpecific(csection, PETSC_SECTION_CLASSID, 5);
4858   if (!globalFSection) {ierr = DMGetDefaultGlobalSection(dmf, &globalFSection);CHKERRQ(ierr);}
4859   PetscValidHeaderSpecific(globalFSection, PETSC_SECTION_CLASSID, 3);
4860   if (!globalCSection) {ierr = DMGetDefaultGlobalSection(dmc, &globalCSection);CHKERRQ(ierr);}
4861   PetscValidHeaderSpecific(globalCSection, PETSC_SECTION_CLASSID, 6);
4862   ierr = PetscSectionGetNumFields(fsection, &numFields);CHKERRQ(ierr);
4863   if (numFields > 31) SETERRQ1(PetscObjectComm((PetscObject)dmf), PETSC_ERR_ARG_OUTOFRANGE, "Number of fields %D limited to 31", numFields);
4864   ierr = PetscMemzero(foffsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
4865   ierr = PetscMemzero(coffsets, 32 * sizeof(PetscInt));CHKERRQ(ierr);
4866   /* Column indices */
4867   ierr = DMPlexGetTransitiveClosure(dmc, point, PETSC_TRUE, &numCPoints, &cpoints);CHKERRQ(ierr);
4868   maxFPoints = numCPoints;
4869   /* Compress out points not in the section */
4870   /*   TODO: Squeeze out points with 0 dof as well */
4871   ierr = PetscSectionGetChart(csection, &pStart, &pEnd);CHKERRQ(ierr);
4872   for (p = 0, q = 0; p < numCPoints*2; p += 2) {
4873     if ((cpoints[p] >= pStart) && (cpoints[p] < pEnd)) {
4874       cpoints[q*2]   = cpoints[p];
4875       cpoints[q*2+1] = cpoints[p+1];
4876       ++q;
4877     }
4878   }
4879   numCPoints = q;
4880   for (p = 0, numCIndices = 0; p < numCPoints*2; p += 2) {
4881     PetscInt fdof;
4882 
4883     ierr = PetscSectionGetDof(csection, cpoints[p], &dof);CHKERRQ(ierr);
4884     if (!dof) continue;
4885     for (f = 0; f < numFields; ++f) {
4886       ierr           = PetscSectionGetFieldDof(csection, cpoints[p], f, &fdof);CHKERRQ(ierr);
4887       coffsets[f+1] += fdof;
4888     }
4889     numCIndices += dof;
4890   }
4891   for (f = 1; f < numFields; ++f) coffsets[f+1] += coffsets[f];
4892   /* Row indices */
4893   ierr = DMPlexGetCellRefiner_Internal(dmc, &cellRefiner);CHKERRQ(ierr);
4894   ierr = CellRefinerGetAffineTransforms_Internal(cellRefiner, &numSubcells, NULL, NULL, NULL);CHKERRQ(ierr);
4895   ierr = DMGetWorkArray(dmf, maxFPoints*2*numSubcells, PETSC_INT, &ftotpoints);CHKERRQ(ierr);
4896   for (r = 0, q = 0; r < numSubcells; ++r) {
4897     /* TODO Map from coarse to fine cells */
4898     ierr = DMPlexGetTransitiveClosure(dmf, point*numSubcells + r, PETSC_TRUE, &numFPoints, &fpoints);CHKERRQ(ierr);
4899     /* Compress out points not in the section */
4900     ierr = PetscSectionGetChart(fsection, &pStart, &pEnd);CHKERRQ(ierr);
4901     for (p = 0; p < numFPoints*2; p += 2) {
4902       if ((fpoints[p] >= pStart) && (fpoints[p] < pEnd)) {
4903         ierr = PetscSectionGetDof(fsection, fpoints[p], &dof);CHKERRQ(ierr);
4904         if (!dof) continue;
4905         for (s = 0; s < q; ++s) if (fpoints[p] == ftotpoints[s*2]) break;
4906         if (s < q) continue;
4907         ftotpoints[q*2]   = fpoints[p];
4908         ftotpoints[q*2+1] = fpoints[p+1];
4909         ++q;
4910       }
4911     }
4912     ierr = DMPlexRestoreTransitiveClosure(dmf, point, PETSC_TRUE, &numFPoints, &fpoints);CHKERRQ(ierr);
4913   }
4914   numFPoints = q;
4915   for (p = 0, numFIndices = 0; p < numFPoints*2; p += 2) {
4916     PetscInt fdof;
4917 
4918     ierr = PetscSectionGetDof(fsection, ftotpoints[p], &dof);CHKERRQ(ierr);
4919     if (!dof) continue;
4920     for (f = 0; f < numFields; ++f) {
4921       ierr           = PetscSectionGetFieldDof(fsection, ftotpoints[p], f, &fdof);CHKERRQ(ierr);
4922       foffsets[f+1] += fdof;
4923     }
4924     numFIndices += dof;
4925   }
4926   for (f = 1; f < numFields; ++f) foffsets[f+1] += foffsets[f];
4927 
4928   if (numFields && foffsets[numFields] != numFIndices) SETERRQ2(PetscObjectComm((PetscObject)dmf), PETSC_ERR_PLIB, "Invalid size for closure %d should be %d", foffsets[numFields], numFIndices);
4929   if (numFields && coffsets[numFields] != numCIndices) SETERRQ2(PetscObjectComm((PetscObject)dmc), PETSC_ERR_PLIB, "Invalid size for closure %d should be %d", coffsets[numFields], numCIndices);
4930   if (numFields) {
4931     for (p = 0; p < numFPoints*2; p += 2) {
4932       PetscInt o = ftotpoints[p+1];
4933       ierr = PetscSectionGetOffset(globalFSection, ftotpoints[p], &globalOff);CHKERRQ(ierr);
4934       indicesPointFields_private(fsection, ftotpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, foffsets, PETSC_FALSE, o, findices);
4935     }
4936     for (p = 0; p < numCPoints*2; p += 2) {
4937       PetscInt o = cpoints[p+1];
4938       ierr = PetscSectionGetOffset(globalCSection, cpoints[p], &globalOff);CHKERRQ(ierr);
4939       indicesPointFields_private(csection, cpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, coffsets, PETSC_FALSE, o, cindices);
4940     }
4941   } else {
4942     for (p = 0, off = 0; p < numFPoints*2; p += 2) {
4943       PetscInt o = ftotpoints[p+1];
4944       ierr = PetscSectionGetOffset(globalFSection, ftotpoints[p], &globalOff);CHKERRQ(ierr);
4945       indicesPoint_private(fsection, ftotpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, &off, PETSC_FALSE, o, findices);
4946     }
4947     for (p = 0, off = 0; p < numCPoints*2; p += 2) {
4948       PetscInt o = cpoints[p+1];
4949       ierr = PetscSectionGetOffset(globalCSection, cpoints[p], &globalOff);CHKERRQ(ierr);
4950       indicesPoint_private(csection, cpoints[p], globalOff < 0 ? -(globalOff+1) : globalOff, &off, PETSC_FALSE, o, cindices);
4951     }
4952   }
4953   ierr = DMRestoreWorkArray(dmf, numCPoints*2*4, PETSC_INT, &ftotpoints);CHKERRQ(ierr);
4954   ierr = DMPlexRestoreTransitiveClosure(dmc, point, PETSC_TRUE, &numCPoints, &cpoints);CHKERRQ(ierr);
4955   PetscFunctionReturn(0);
4956 }
4957 
4958 #undef __FUNCT__
4959 #define __FUNCT__ "DMPlexGetHybridBounds"
4960 /*@
4961   DMPlexGetHybridBounds - Get the first mesh point of each dimension which is a hybrid
4962 
4963   Input Parameter:
4964 . dm - The DMPlex object
4965 
4966   Output Parameters:
4967 + cMax - The first hybrid cell
4968 . fMax - The first hybrid face
4969 . eMax - The first hybrid edge
4970 - vMax - The first hybrid vertex
4971 
4972   Level: developer
4973 
4974 .seealso DMPlexCreateHybridMesh(), DMPlexSetHybridBounds()
4975 @*/
4976 PetscErrorCode DMPlexGetHybridBounds(DM dm, PetscInt *cMax, PetscInt *fMax, PetscInt *eMax, PetscInt *vMax)
4977 {
4978   DM_Plex       *mesh = (DM_Plex*) dm->data;
4979   PetscInt       dim;
4980   PetscErrorCode ierr;
4981 
4982   PetscFunctionBegin;
4983   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
4984   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
4985   if (cMax) *cMax = mesh->hybridPointMax[dim];
4986   if (fMax) *fMax = mesh->hybridPointMax[dim-1];
4987   if (eMax) *eMax = mesh->hybridPointMax[1];
4988   if (vMax) *vMax = mesh->hybridPointMax[0];
4989   PetscFunctionReturn(0);
4990 }
4991 
4992 #undef __FUNCT__
4993 #define __FUNCT__ "DMPlexSetHybridBounds"
4994 /*@
4995   DMPlexSetHybridBounds - Set the first mesh point of each dimension which is a hybrid
4996 
4997   Input Parameters:
4998 . dm   - The DMPlex object
4999 . cMax - The first hybrid cell
5000 . fMax - The first hybrid face
5001 . eMax - The first hybrid edge
5002 - vMax - The first hybrid vertex
5003 
5004   Level: developer
5005 
5006 .seealso DMPlexCreateHybridMesh(), DMPlexGetHybridBounds()
5007 @*/
5008 PetscErrorCode DMPlexSetHybridBounds(DM dm, PetscInt cMax, PetscInt fMax, PetscInt eMax, PetscInt vMax)
5009 {
5010   DM_Plex       *mesh = (DM_Plex*) dm->data;
5011   PetscInt       dim;
5012   PetscErrorCode ierr;
5013 
5014   PetscFunctionBegin;
5015   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5016   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
5017   if (cMax >= 0) mesh->hybridPointMax[dim]   = cMax;
5018   if (fMax >= 0) mesh->hybridPointMax[dim-1] = fMax;
5019   if (eMax >= 0) mesh->hybridPointMax[1]     = eMax;
5020   if (vMax >= 0) mesh->hybridPointMax[0]     = vMax;
5021   PetscFunctionReturn(0);
5022 }
5023 
5024 #undef __FUNCT__
5025 #define __FUNCT__ "DMPlexGetVTKCellHeight"
5026 PetscErrorCode DMPlexGetVTKCellHeight(DM dm, PetscInt *cellHeight)
5027 {
5028   DM_Plex *mesh = (DM_Plex*) dm->data;
5029 
5030   PetscFunctionBegin;
5031   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5032   PetscValidPointer(cellHeight, 2);
5033   *cellHeight = mesh->vtkCellHeight;
5034   PetscFunctionReturn(0);
5035 }
5036 
5037 #undef __FUNCT__
5038 #define __FUNCT__ "DMPlexSetVTKCellHeight"
5039 PetscErrorCode DMPlexSetVTKCellHeight(DM dm, PetscInt cellHeight)
5040 {
5041   DM_Plex *mesh = (DM_Plex*) dm->data;
5042 
5043   PetscFunctionBegin;
5044   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5045   mesh->vtkCellHeight = cellHeight;
5046   PetscFunctionReturn(0);
5047 }
5048 
5049 #undef __FUNCT__
5050 #define __FUNCT__ "DMPlexCreateNumbering_Private"
5051 /* We can easily have a form that takes an IS instead */
5052 static PetscErrorCode DMPlexCreateNumbering_Private(DM dm, PetscInt pStart, PetscInt pEnd, PetscInt shift, PetscInt *globalSize, PetscSF sf, IS *numbering)
5053 {
5054   PetscSection   section, globalSection;
5055   PetscInt      *numbers, p;
5056   PetscErrorCode ierr;
5057 
5058   PetscFunctionBegin;
5059   ierr = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &section);CHKERRQ(ierr);
5060   ierr = PetscSectionSetChart(section, pStart, pEnd);CHKERRQ(ierr);
5061   for (p = pStart; p < pEnd; ++p) {
5062     ierr = PetscSectionSetDof(section, p, 1);CHKERRQ(ierr);
5063   }
5064   ierr = PetscSectionSetUp(section);CHKERRQ(ierr);
5065   ierr = PetscSectionCreateGlobalSection(section, sf, PETSC_FALSE, &globalSection);CHKERRQ(ierr);
5066   ierr = PetscMalloc1(pEnd - pStart, &numbers);CHKERRQ(ierr);
5067   for (p = pStart; p < pEnd; ++p) {
5068     ierr = PetscSectionGetOffset(globalSection, p, &numbers[p-pStart]);CHKERRQ(ierr);
5069     if (numbers[p-pStart] < 0) numbers[p-pStart] -= shift;
5070     else                       numbers[p-pStart] += shift;
5071   }
5072   ierr = ISCreateGeneral(PetscObjectComm((PetscObject) dm), pEnd - pStart, numbers, PETSC_OWN_POINTER, numbering);CHKERRQ(ierr);
5073   if (globalSize) {
5074     PetscLayout layout;
5075     ierr = PetscSectionGetPointLayout(PetscObjectComm((PetscObject) dm), globalSection, &layout);CHKERRQ(ierr);
5076     ierr = PetscLayoutGetSize(layout, globalSize);CHKERRQ(ierr);
5077     ierr = PetscLayoutDestroy(&layout);CHKERRQ(ierr);
5078   }
5079   ierr = PetscSectionDestroy(&section);CHKERRQ(ierr);
5080   ierr = PetscSectionDestroy(&globalSection);CHKERRQ(ierr);
5081   PetscFunctionReturn(0);
5082 }
5083 
5084 #undef __FUNCT__
5085 #define __FUNCT__ "DMPlexGetCellNumbering"
5086 PetscErrorCode DMPlexGetCellNumbering(DM dm, IS *globalCellNumbers)
5087 {
5088   DM_Plex       *mesh = (DM_Plex*) dm->data;
5089   PetscInt       cellHeight, cStart, cEnd, cMax;
5090   PetscErrorCode ierr;
5091 
5092   PetscFunctionBegin;
5093   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5094   if (!mesh->globalCellNumbers) {
5095     ierr = DMPlexGetVTKCellHeight(dm, &cellHeight);CHKERRQ(ierr);
5096     ierr = DMPlexGetHeightStratum(dm, cellHeight, &cStart, &cEnd);CHKERRQ(ierr);
5097     ierr = DMPlexGetHybridBounds(dm, &cMax, NULL, NULL, NULL);CHKERRQ(ierr);
5098     if (cMax >= 0) cEnd = PetscMin(cEnd, cMax);
5099     ierr = DMPlexCreateNumbering_Private(dm, cStart, cEnd, 0, NULL, dm->sf, &mesh->globalCellNumbers);CHKERRQ(ierr);
5100   }
5101   *globalCellNumbers = mesh->globalCellNumbers;
5102   PetscFunctionReturn(0);
5103 }
5104 
5105 #undef __FUNCT__
5106 #define __FUNCT__ "DMPlexGetVertexNumbering"
5107 PetscErrorCode DMPlexGetVertexNumbering(DM dm, IS *globalVertexNumbers)
5108 {
5109   DM_Plex       *mesh = (DM_Plex*) dm->data;
5110   PetscInt       vStart, vEnd, vMax;
5111   PetscErrorCode ierr;
5112 
5113   PetscFunctionBegin;
5114   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5115   if (!mesh->globalVertexNumbers) {
5116     ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
5117     ierr = DMPlexGetHybridBounds(dm, NULL, NULL, NULL, &vMax);CHKERRQ(ierr);
5118     if (vMax >= 0) vEnd = PetscMin(vEnd, vMax);
5119     ierr = DMPlexCreateNumbering_Private(dm, vStart, vEnd, 0, NULL, dm->sf, &mesh->globalVertexNumbers);CHKERRQ(ierr);
5120   }
5121   *globalVertexNumbers = mesh->globalVertexNumbers;
5122   PetscFunctionReturn(0);
5123 }
5124 
5125 #undef __FUNCT__
5126 #define __FUNCT__ "DMPlexCreatePointNumbering"
5127 PetscErrorCode DMPlexCreatePointNumbering(DM dm, IS *globalPointNumbers)
5128 {
5129   IS             nums[4];
5130   PetscInt       depths[4];
5131   PetscInt       depth, d, shift = 0;
5132   PetscErrorCode ierr;
5133 
5134   PetscFunctionBegin;
5135   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5136   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
5137   /* For unstratified meshes use dim instead of depth */
5138   if (depth < 0) {ierr = DMGetDimension(dm, &depth);CHKERRQ(ierr);}
5139   depths[0] = depth; depths[1] = 0;
5140   for (d = 2; d <= depth; ++d) depths[d] = depth-d+1;
5141   for (d = 0; d <= depth; ++d) {
5142     PetscInt pStart, pEnd, gsize;
5143 
5144     ierr = DMPlexGetDepthStratum(dm, depths[d], &pStart, &pEnd);CHKERRQ(ierr);
5145     ierr = DMPlexCreateNumbering_Private(dm, pStart, pEnd, shift, &gsize, dm->sf, &nums[d]);CHKERRQ(ierr);
5146     shift += gsize;
5147   }
5148   ierr = ISConcatenate(PetscObjectComm((PetscObject) dm), depth+1, nums, globalPointNumbers);CHKERRQ(ierr);
5149   for (d = 0; d <= depth; ++d) {ierr = ISDestroy(&nums[d]);CHKERRQ(ierr);}
5150   PetscFunctionReturn(0);
5151 }
5152 
5153 
5154 #undef __FUNCT__
5155 #define __FUNCT__ "PetscSectionCreateGlobalSectionLabel"
5156 /*@C
5157   PetscSectionCreateGlobalSectionLabel - Create a section describing the global field layout using
5158   the local section and an SF describing the section point overlap.
5159 
5160   Input Parameters:
5161   + s - The PetscSection for the local field layout
5162   . sf - The SF describing parallel layout of the section points
5163   . includeConstraints - By default this is PETSC_FALSE, meaning that the global field vector will not possess constrained dofs
5164   . label - The label specifying the points
5165   - labelValue - The label stratum specifying the points
5166 
5167   Output Parameter:
5168   . gsection - The PetscSection for the global field layout
5169 
5170   Note: This gives negative sizes and offsets to points not owned by this process
5171 
5172   Level: developer
5173 
5174 .seealso: PetscSectionCreate()
5175 @*/
5176 PetscErrorCode PetscSectionCreateGlobalSectionLabel(PetscSection s, PetscSF sf, PetscBool includeConstraints, DMLabel label, PetscInt labelValue, PetscSection *gsection)
5177 {
5178   PetscInt      *neg = NULL, *tmpOff = NULL;
5179   PetscInt       pStart, pEnd, p, dof, cdof, off, globalOff = 0, nroots;
5180   PetscErrorCode ierr;
5181 
5182   PetscFunctionBegin;
5183   ierr = PetscSectionCreate(PetscObjectComm((PetscObject) s), gsection);CHKERRQ(ierr);
5184   ierr = PetscSectionGetChart(s, &pStart, &pEnd);CHKERRQ(ierr);
5185   ierr = PetscSectionSetChart(*gsection, pStart, pEnd);CHKERRQ(ierr);
5186   ierr = PetscSFGetGraph(sf, &nroots, NULL, NULL, NULL);CHKERRQ(ierr);
5187   if (nroots >= 0) {
5188     if (nroots < pEnd-pStart) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "PetscSF nroots %d < %d section size", nroots, pEnd-pStart);
5189     ierr = PetscCalloc1(nroots, &neg);CHKERRQ(ierr);
5190     if (nroots > pEnd-pStart) {
5191       ierr = PetscCalloc1(nroots, &tmpOff);CHKERRQ(ierr);
5192     } else {
5193       tmpOff = &(*gsection)->atlasDof[-pStart];
5194     }
5195   }
5196   /* Mark ghost points with negative dof */
5197   for (p = pStart; p < pEnd; ++p) {
5198     PetscInt value;
5199 
5200     ierr = DMLabelGetValue(label, p, &value);CHKERRQ(ierr);
5201     if (value != labelValue) continue;
5202     ierr = PetscSectionGetDof(s, p, &dof);CHKERRQ(ierr);
5203     ierr = PetscSectionSetDof(*gsection, p, dof);CHKERRQ(ierr);
5204     ierr = PetscSectionGetConstraintDof(s, p, &cdof);CHKERRQ(ierr);
5205     if (!includeConstraints && cdof > 0) {ierr = PetscSectionSetConstraintDof(*gsection, p, cdof);CHKERRQ(ierr);}
5206     if (neg) neg[p] = -(dof+1);
5207   }
5208   ierr = PetscSectionSetUpBC(*gsection);CHKERRQ(ierr);
5209   if (nroots >= 0) {
5210     ierr = PetscSFBcastBegin(sf, MPIU_INT, neg, tmpOff);CHKERRQ(ierr);
5211     ierr = PetscSFBcastEnd(sf, MPIU_INT, neg, tmpOff);CHKERRQ(ierr);
5212     if (nroots > pEnd-pStart) {
5213       for (p = pStart; p < pEnd; ++p) {if (tmpOff[p] < 0) (*gsection)->atlasDof[p-pStart] = tmpOff[p];}
5214     }
5215   }
5216   /* Calculate new sizes, get proccess offset, and calculate point offsets */
5217   for (p = 0, off = 0; p < pEnd-pStart; ++p) {
5218     cdof = (!includeConstraints && s->bc) ? s->bc->atlasDof[p] : 0;
5219     (*gsection)->atlasOff[p] = off;
5220     off += (*gsection)->atlasDof[p] > 0 ? (*gsection)->atlasDof[p]-cdof : 0;
5221   }
5222   ierr       = MPI_Scan(&off, &globalOff, 1, MPIU_INT, MPI_SUM, PetscObjectComm((PetscObject) s));CHKERRQ(ierr);
5223   globalOff -= off;
5224   for (p = 0, off = 0; p < pEnd-pStart; ++p) {
5225     (*gsection)->atlasOff[p] += globalOff;
5226     if (neg) neg[p] = -((*gsection)->atlasOff[p]+1);
5227   }
5228   /* Put in negative offsets for ghost points */
5229   if (nroots >= 0) {
5230     ierr = PetscSFBcastBegin(sf, MPIU_INT, neg, tmpOff);CHKERRQ(ierr);
5231     ierr = PetscSFBcastEnd(sf, MPIU_INT, neg, tmpOff);CHKERRQ(ierr);
5232     if (nroots > pEnd-pStart) {
5233       for (p = pStart; p < pEnd; ++p) {if (tmpOff[p] < 0) (*gsection)->atlasOff[p-pStart] = tmpOff[p];}
5234     }
5235   }
5236   if (nroots >= 0 && nroots > pEnd-pStart) {ierr = PetscFree(tmpOff);CHKERRQ(ierr);}
5237   ierr = PetscFree(neg);CHKERRQ(ierr);
5238   PetscFunctionReturn(0);
5239 }
5240 
5241 #undef __FUNCT__
5242 #define __FUNCT__ "DMPlexCheckSymmetry"
5243 /*@
5244   DMPlexCheckSymmetry - Check that the adjacency information in the mesh is symmetric.
5245 
5246   Input Parameters:
5247   + dm - The DMPlex object
5248 
5249   Note: This is a useful diagnostic when creating meshes programmatically.
5250 
5251   Level: developer
5252 
5253 .seealso: DMCreate(), DMCheckSkeleton(), DMCheckFaces()
5254 @*/
5255 PetscErrorCode DMPlexCheckSymmetry(DM dm)
5256 {
5257   PetscSection    coneSection, supportSection;
5258   const PetscInt *cone, *support;
5259   PetscInt        coneSize, c, supportSize, s;
5260   PetscInt        pStart, pEnd, p, csize, ssize;
5261   PetscErrorCode  ierr;
5262 
5263   PetscFunctionBegin;
5264   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5265   ierr = DMPlexGetConeSection(dm, &coneSection);CHKERRQ(ierr);
5266   ierr = DMPlexGetSupportSection(dm, &supportSection);CHKERRQ(ierr);
5267   /* Check that point p is found in the support of its cone points, and vice versa */
5268   ierr = DMPlexGetChart(dm, &pStart, &pEnd);CHKERRQ(ierr);
5269   for (p = pStart; p < pEnd; ++p) {
5270     ierr = DMPlexGetConeSize(dm, p, &coneSize);CHKERRQ(ierr);
5271     ierr = DMPlexGetCone(dm, p, &cone);CHKERRQ(ierr);
5272     for (c = 0; c < coneSize; ++c) {
5273       PetscBool dup = PETSC_FALSE;
5274       PetscInt  d;
5275       for (d = c-1; d >= 0; --d) {
5276         if (cone[c] == cone[d]) {dup = PETSC_TRUE; break;}
5277       }
5278       ierr = DMPlexGetSupportSize(dm, cone[c], &supportSize);CHKERRQ(ierr);
5279       ierr = DMPlexGetSupport(dm, cone[c], &support);CHKERRQ(ierr);
5280       for (s = 0; s < supportSize; ++s) {
5281         if (support[s] == p) break;
5282       }
5283       if ((s >= supportSize) || (dup && (support[s+1] != p))) {
5284         ierr = PetscPrintf(PETSC_COMM_SELF, "p: %d cone: ", p);CHKERRQ(ierr);
5285         for (s = 0; s < coneSize; ++s) {
5286           ierr = PetscPrintf(PETSC_COMM_SELF, "%d, ", cone[s]);CHKERRQ(ierr);
5287         }
5288         ierr = PetscPrintf(PETSC_COMM_SELF, "\n");CHKERRQ(ierr);
5289         ierr = PetscPrintf(PETSC_COMM_SELF, "p: %d support: ", cone[c]);CHKERRQ(ierr);
5290         for (s = 0; s < supportSize; ++s) {
5291           ierr = PetscPrintf(PETSC_COMM_SELF, "%d, ", support[s]);CHKERRQ(ierr);
5292         }
5293         ierr = PetscPrintf(PETSC_COMM_SELF, "\n");CHKERRQ(ierr);
5294         if (dup) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Point %d not repeatedly found in support of repeated cone point %d", p, cone[c]);
5295         else SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Point %d not found in support of cone point %d", p, cone[c]);
5296       }
5297     }
5298     ierr = DMPlexGetSupportSize(dm, p, &supportSize);CHKERRQ(ierr);
5299     ierr = DMPlexGetSupport(dm, p, &support);CHKERRQ(ierr);
5300     for (s = 0; s < supportSize; ++s) {
5301       ierr = DMPlexGetConeSize(dm, support[s], &coneSize);CHKERRQ(ierr);
5302       ierr = DMPlexGetCone(dm, support[s], &cone);CHKERRQ(ierr);
5303       for (c = 0; c < coneSize; ++c) {
5304         if (cone[c] == p) break;
5305       }
5306       if (c >= coneSize) {
5307         ierr = PetscPrintf(PETSC_COMM_SELF, "p: %d support: ", p);CHKERRQ(ierr);
5308         for (c = 0; c < supportSize; ++c) {
5309           ierr = PetscPrintf(PETSC_COMM_SELF, "%d, ", support[c]);CHKERRQ(ierr);
5310         }
5311         ierr = PetscPrintf(PETSC_COMM_SELF, "\n");CHKERRQ(ierr);
5312         ierr = PetscPrintf(PETSC_COMM_SELF, "p: %d cone: ", support[s]);CHKERRQ(ierr);
5313         for (c = 0; c < coneSize; ++c) {
5314           ierr = PetscPrintf(PETSC_COMM_SELF, "%d, ", cone[c]);CHKERRQ(ierr);
5315         }
5316         ierr = PetscPrintf(PETSC_COMM_SELF, "\n");CHKERRQ(ierr);
5317         SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Point %d not found in cone of support point %d", p, support[s]);
5318       }
5319     }
5320   }
5321   ierr = PetscSectionGetStorageSize(coneSection, &csize);CHKERRQ(ierr);
5322   ierr = PetscSectionGetStorageSize(supportSection, &ssize);CHKERRQ(ierr);
5323   if (csize != ssize) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Total cone size %d != Total support size %d", csize, ssize);
5324   PetscFunctionReturn(0);
5325 }
5326 
5327 #undef __FUNCT__
5328 #define __FUNCT__ "DMPlexCheckSkeleton"
5329 /*@
5330   DMPlexCheckSkeleton - Check that each cell has the correct number of vertices
5331 
5332   Input Parameters:
5333 + dm - The DMPlex object
5334 . isSimplex - Are the cells simplices or tensor products
5335 - cellHeight - Normally 0
5336 
5337   Note: This is a useful diagnostic when creating meshes programmatically.
5338 
5339   Level: developer
5340 
5341 .seealso: DMCreate(), DMCheckSymmetry(), DMCheckFaces()
5342 @*/
5343 PetscErrorCode DMPlexCheckSkeleton(DM dm, PetscBool isSimplex, PetscInt cellHeight)
5344 {
5345   PetscInt       dim, numCorners, numHybridCorners, vStart, vEnd, cStart, cEnd, cMax, c;
5346   PetscErrorCode ierr;
5347 
5348   PetscFunctionBegin;
5349   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5350   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
5351   switch (dim) {
5352   case 1: numCorners = isSimplex ? 2 : 2; numHybridCorners = isSimplex ? 2 : 2; break;
5353   case 2: numCorners = isSimplex ? 3 : 4; numHybridCorners = isSimplex ? 4 : 4; break;
5354   case 3: numCorners = isSimplex ? 4 : 8; numHybridCorners = isSimplex ? 6 : 8; break;
5355   default:
5356     SETERRQ1(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_OUTOFRANGE, "Cannot handle meshes of dimension %d", dim);
5357   }
5358   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
5359   ierr = DMPlexGetHeightStratum(dm, cellHeight, &cStart, &cEnd);CHKERRQ(ierr);
5360   ierr = DMPlexGetHybridBounds(dm, &cMax, NULL, NULL, NULL);CHKERRQ(ierr);
5361   cMax = cMax >= 0 ? cMax : cEnd;
5362   for (c = cStart; c < cMax; ++c) {
5363     PetscInt *closure = NULL, closureSize, cl, coneSize = 0;
5364 
5365     ierr = DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
5366     for (cl = 0; cl < closureSize*2; cl += 2) {
5367       const PetscInt p = closure[cl];
5368       if ((p >= vStart) && (p < vEnd)) ++coneSize;
5369     }
5370     ierr = DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
5371     if (coneSize != numCorners) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell %d has  %d vertices != %d", c, coneSize, numCorners);
5372   }
5373   for (c = cMax; c < cEnd; ++c) {
5374     PetscInt *closure = NULL, closureSize, cl, coneSize = 0;
5375 
5376     ierr = DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
5377     for (cl = 0; cl < closureSize*2; cl += 2) {
5378       const PetscInt p = closure[cl];
5379       if ((p >= vStart) && (p < vEnd)) ++coneSize;
5380     }
5381     ierr = DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
5382     if (coneSize > numHybridCorners) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Hybrid cell %d has  %d vertices > %d", c, coneSize, numHybridCorners);
5383   }
5384   PetscFunctionReturn(0);
5385 }
5386 
5387 #undef __FUNCT__
5388 #define __FUNCT__ "DMPlexCheckFaces"
5389 /*@
5390   DMPlexCheckFaces - Check that the faces of each cell give a vertex order this is consistent with what we expect from the cell type
5391 
5392   Input Parameters:
5393 + dm - The DMPlex object
5394 . isSimplex - Are the cells simplices or tensor products
5395 - cellHeight - Normally 0
5396 
5397   Note: This is a useful diagnostic when creating meshes programmatically.
5398 
5399   Level: developer
5400 
5401 .seealso: DMCreate(), DMCheckSymmetry(), DMCheckSkeleton()
5402 @*/
5403 PetscErrorCode DMPlexCheckFaces(DM dm, PetscBool isSimplex, PetscInt cellHeight)
5404 {
5405   PetscInt       pMax[4];
5406   PetscInt       dim, vStart, vEnd, cStart, cEnd, c, h;
5407   PetscErrorCode ierr;
5408 
5409   PetscFunctionBegin;
5410   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5411   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
5412   ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
5413   ierr = DMPlexGetHybridBounds(dm, &pMax[dim], &pMax[dim-1], &pMax[1], &pMax[0]);CHKERRQ(ierr);
5414   for (h = cellHeight; h < dim; ++h) {
5415     ierr = DMPlexGetHeightStratum(dm, h, &cStart, &cEnd);CHKERRQ(ierr);
5416     for (c = cStart; c < cEnd; ++c) {
5417       const PetscInt *cone, *ornt, *faces;
5418       PetscInt        numFaces, faceSize, coneSize,f;
5419       PetscInt       *closure = NULL, closureSize, cl, numCorners = 0;
5420 
5421       if (pMax[dim-h] >= 0 && c >= pMax[dim-h]) continue;
5422       ierr = DMPlexGetConeSize(dm, c, &coneSize);CHKERRQ(ierr);
5423       ierr = DMPlexGetCone(dm, c, &cone);CHKERRQ(ierr);
5424       ierr = DMPlexGetConeOrientation(dm, c, &ornt);CHKERRQ(ierr);
5425       ierr = DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
5426       for (cl = 0; cl < closureSize*2; cl += 2) {
5427         const PetscInt p = closure[cl];
5428         if ((p >= vStart) && (p < vEnd)) closure[numCorners++] = p;
5429       }
5430       ierr = DMPlexGetRawFaces_Internal(dm, dim-h, numCorners, closure, &numFaces, &faceSize, &faces);CHKERRQ(ierr);
5431       if (coneSize != numFaces) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cell %d has %d faces but should have %d", c, coneSize, numFaces);
5432       for (f = 0; f < numFaces; ++f) {
5433         PetscInt *fclosure = NULL, fclosureSize, cl, fnumCorners = 0, v;
5434 
5435         ierr = DMPlexGetTransitiveClosure_Internal(dm, cone[f], ornt[f], PETSC_TRUE, &fclosureSize, &fclosure);CHKERRQ(ierr);
5436         for (cl = 0; cl < fclosureSize*2; cl += 2) {
5437           const PetscInt p = fclosure[cl];
5438           if ((p >= vStart) && (p < vEnd)) fclosure[fnumCorners++] = p;
5439         }
5440         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);
5441         for (v = 0; v < fnumCorners; ++v) {
5442           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]);
5443         }
5444         ierr = DMPlexRestoreTransitiveClosure(dm, cone[f], PETSC_TRUE, &fclosureSize, &fclosure);CHKERRQ(ierr);
5445       }
5446       ierr = DMPlexRestoreFaces_Internal(dm, dim, c, &numFaces, &faceSize, &faces);CHKERRQ(ierr);
5447       ierr = DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
5448     }
5449   }
5450   PetscFunctionReturn(0);
5451 }
5452 
5453 #undef __FUNCT__
5454 #define __FUNCT__ "DMCreateInterpolation_Plex"
5455 /* Pointwise interpolation
5456      Just code FEM for now
5457      u^f = I u^c
5458      sum_k u^f_k phi^f_k = I sum_j u^c_j phi^c_j
5459      u^f_i = sum_j psi^f_i I phi^c_j u^c_j
5460      I_{ij} = psi^f_i phi^c_j
5461 */
5462 PetscErrorCode DMCreateInterpolation_Plex(DM dmCoarse, DM dmFine, Mat *interpolation, Vec *scaling)
5463 {
5464   PetscSection   gsc, gsf;
5465   PetscInt       m, n;
5466   void          *ctx;
5467   PetscErrorCode ierr;
5468 
5469   PetscFunctionBegin;
5470   /*
5471   Loop over coarse cells
5472     Loop over coarse basis functions
5473       Loop over fine cells in coarse cell
5474         Loop over fine dual basis functions
5475           Evaluate coarse basis on fine dual basis quad points
5476           Sum
5477           Update local element matrix
5478     Accumulate to interpolation matrix
5479 
5480    Can extend PetscFEIntegrateJacobian_Basic() to do a specialized cell loop
5481   */
5482   ierr = DMGetDefaultGlobalSection(dmFine, &gsf);CHKERRQ(ierr);
5483   ierr = PetscSectionGetConstrainedStorageSize(gsf, &m);CHKERRQ(ierr);
5484   ierr = DMGetDefaultGlobalSection(dmCoarse, &gsc);CHKERRQ(ierr);
5485   ierr = PetscSectionGetConstrainedStorageSize(gsc, &n);CHKERRQ(ierr);
5486   /* We need to preallocate properly */
5487   ierr = MatCreate(PetscObjectComm((PetscObject) dmCoarse), interpolation);CHKERRQ(ierr);
5488   ierr = MatSetSizes(*interpolation, m, n, PETSC_DETERMINE, PETSC_DETERMINE);CHKERRQ(ierr);
5489   ierr = MatSetType(*interpolation, dmCoarse->mattype);CHKERRQ(ierr);
5490   ierr = DMGetApplicationContext(dmFine, &ctx);CHKERRQ(ierr);
5491   ierr = DMPlexComputeInterpolatorFEM(dmCoarse, dmFine, *interpolation, ctx);CHKERRQ(ierr);
5492   /* Use naive scaling */
5493   ierr = DMCreateInterpolationScale(dmCoarse, dmFine, *interpolation, scaling);CHKERRQ(ierr);
5494   PetscFunctionReturn(0);
5495 }
5496 
5497 #undef __FUNCT__
5498 #define __FUNCT__ "DMCreateInjection_Plex"
5499 PetscErrorCode DMCreateInjection_Plex(DM dmCoarse, DM dmFine, Mat *mat)
5500 {
5501   PetscErrorCode ierr;
5502   VecScatter     ctx;
5503 
5504   PetscFunctionBegin;
5505   ierr = DMPlexComputeInjectorFEM(dmCoarse, dmFine, &ctx, NULL);CHKERRQ(ierr);
5506   ierr = MatCreateScatter(PetscObjectComm((PetscObject)ctx), ctx, mat);CHKERRQ(ierr);
5507   ierr = VecScatterDestroy(&ctx);CHKERRQ(ierr);
5508   PetscFunctionReturn(0);
5509 }
5510 
5511 #undef __FUNCT__
5512 #define __FUNCT__ "DMCreateDefaultSection_Plex"
5513 PetscErrorCode DMCreateDefaultSection_Plex(DM dm)
5514 {
5515   PetscSection   section;
5516   IS            *bcPoints, *bcComps;
5517   PetscBool     *isFE;
5518   PetscInt      *bcFields, *numComp, *numDof;
5519   PetscInt       depth, dim, numBd, numBC = 0, numFields, bd, bc = 0, f;
5520   PetscInt       cStart, cEnd, cEndInterior;
5521   PetscErrorCode ierr;
5522 
5523   PetscFunctionBegin;
5524   ierr = DMGetNumFields(dm, &numFields);CHKERRQ(ierr);
5525   /* FE and FV boundary conditions are handled slightly differently */
5526   ierr = PetscMalloc1(numFields, &isFE);CHKERRQ(ierr);
5527   for (f = 0; f < numFields; ++f) {
5528     PetscObject  obj;
5529     PetscClassId id;
5530 
5531     ierr = DMGetField(dm, f, &obj);CHKERRQ(ierr);
5532     ierr = PetscObjectGetClassId(obj, &id);CHKERRQ(ierr);
5533     if (id == PETSCFE_CLASSID)      {isFE[f] = PETSC_TRUE;}
5534     else if (id == PETSCFV_CLASSID) {isFE[f] = PETSC_FALSE;}
5535     else SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %d", f);
5536   }
5537   /* Allocate boundary point storage for FEM boundaries */
5538   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
5539   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
5540   ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr);
5541   ierr = DMPlexGetHybridBounds(dm, &cEndInterior, NULL, NULL, NULL);CHKERRQ(ierr);
5542   ierr = DMPlexGetNumBoundary(dm, &numBd);CHKERRQ(ierr);
5543   for (bd = 0; bd < numBd; ++bd) {
5544     PetscInt  field;
5545     PetscBool isEssential;
5546 
5547     ierr = DMPlexGetBoundary(dm, bd, &isEssential, NULL, NULL, &field, NULL, NULL, NULL, NULL, NULL, NULL);CHKERRQ(ierr);
5548     if (isFE[field] && isEssential) ++numBC;
5549   }
5550   /* Add ghost cell boundaries for FVM */
5551   for (f = 0; f < numFields; ++f) if (!isFE[f] && cEndInterior >= 0) ++numBC;
5552   ierr = PetscMalloc3(numBC,&bcFields,numBC,&bcPoints,numBC,&bcComps);CHKERRQ(ierr);
5553   /* Constrain ghost cells for FV */
5554   for (f = 0; f < numFields; ++f) {
5555     PetscInt *newidx, c;
5556 
5557     if (isFE[f] || cEndInterior < 0) continue;
5558     ierr = PetscMalloc1(cEnd-cEndInterior,&newidx);CHKERRQ(ierr);
5559     for (c = cEndInterior; c < cEnd; ++c) newidx[c-cEndInterior] = c;
5560     bcFields[bc] = f;
5561     ierr = ISCreateGeneral(PetscObjectComm((PetscObject) dm), cEnd-cEndInterior, newidx, PETSC_OWN_POINTER, &bcPoints[bc++]);CHKERRQ(ierr);
5562   }
5563   /* Handle FEM Dirichlet boundaries */
5564   for (bd = 0; bd < numBd; ++bd) {
5565     const char     *bdLabel;
5566     DMLabel         label;
5567     const PetscInt *comps;
5568     const PetscInt *values;
5569     PetscInt        bd2, field, numComps, numValues;
5570     PetscBool       isEssential, duplicate = PETSC_FALSE;
5571 
5572     ierr = DMPlexGetBoundary(dm, bd, &isEssential, NULL, &bdLabel, &field, &numComps, &comps, NULL, &numValues, &values, NULL);CHKERRQ(ierr);
5573     if (!isFE[field]) continue;
5574     ierr = DMPlexGetLabel(dm, bdLabel, &label);CHKERRQ(ierr);
5575     /* Only want to modify label once */
5576     for (bd2 = 0; bd2 < bd; ++bd2) {
5577       const char *bdname;
5578       ierr = DMPlexGetBoundary(dm, bd2, NULL, NULL, &bdname, NULL, NULL, NULL, NULL, NULL, NULL, NULL);CHKERRQ(ierr);
5579       ierr = PetscStrcmp(bdname, bdLabel, &duplicate);CHKERRQ(ierr);
5580       if (duplicate) break;
5581     }
5582     if (!duplicate && (isFE[field])) {
5583       ierr = DMPlexLabelComplete(dm, label);CHKERRQ(ierr);
5584       ierr = DMPlexLabelAddCells(dm, label);CHKERRQ(ierr);
5585     }
5586     /* Filter out cells, if you actually want to constrain cells you need to do things by hand right now */
5587     if (isEssential) {
5588       PetscInt       *newidx;
5589       PetscInt        n, newn = 0, p, v;
5590 
5591       bcFields[bc] = field;
5592       if (numComps) {ierr = ISCreateGeneral(PetscObjectComm((PetscObject) dm), numComps, comps, PETSC_COPY_VALUES, &bcComps[bc]);CHKERRQ(ierr);}
5593       else          {bcComps[bc] = NULL;}
5594       for (v = 0; v < numValues; ++v) {
5595         IS              tmp;
5596         const PetscInt *idx;
5597 
5598         ierr = DMPlexGetStratumIS(dm, bdLabel, values[v], &tmp);CHKERRQ(ierr);
5599         if (!tmp) continue;
5600         ierr = ISGetLocalSize(tmp, &n);CHKERRQ(ierr);
5601         ierr = ISGetIndices(tmp, &idx);CHKERRQ(ierr);
5602         if (isFE[field]) {
5603           for (p = 0; p < n; ++p) if ((idx[p] < cStart) || (idx[p] >= cEnd)) ++newn;
5604         } else {
5605           for (p = 0; p < n; ++p) if ((idx[p] >= cStart) || (idx[p] < cEnd)) ++newn;
5606         }
5607         ierr = ISRestoreIndices(tmp, &idx);CHKERRQ(ierr);
5608         ierr = ISDestroy(&tmp);CHKERRQ(ierr);
5609       }
5610       ierr = PetscMalloc1(newn,&newidx);CHKERRQ(ierr);
5611       newn = 0;
5612       for (v = 0; v < numValues; ++v) {
5613         IS              tmp;
5614         const PetscInt *idx;
5615 
5616         ierr = DMPlexGetStratumIS(dm, bdLabel, values[v], &tmp);CHKERRQ(ierr);
5617         if (!tmp) continue;
5618         ierr = ISGetLocalSize(tmp, &n);CHKERRQ(ierr);
5619         ierr = ISGetIndices(tmp, &idx);CHKERRQ(ierr);
5620         if (isFE[field]) {
5621           for (p = 0; p < n; ++p) if ((idx[p] < cStart) || (idx[p] >= cEnd)) newidx[newn++] = idx[p];
5622         } else {
5623           for (p = 0; p < n; ++p) if ((idx[p] >= cStart) || (idx[p] < cEnd)) newidx[newn++] = idx[p];
5624         }
5625         ierr = ISRestoreIndices(tmp, &idx);CHKERRQ(ierr);
5626         ierr = ISDestroy(&tmp);CHKERRQ(ierr);
5627       }
5628       ierr = ISCreateGeneral(PetscObjectComm((PetscObject) dm), newn, newidx, PETSC_OWN_POINTER, &bcPoints[bc++]);CHKERRQ(ierr);
5629     }
5630   }
5631   /* Handle discretization */
5632   ierr = PetscCalloc2(numFields,&numComp,numFields*(dim+1),&numDof);CHKERRQ(ierr);
5633   for (f = 0; f < numFields; ++f) {
5634     PetscObject obj;
5635 
5636     ierr = DMGetField(dm, f, &obj);CHKERRQ(ierr);
5637     if (isFE[f]) {
5638       PetscFE         fe = (PetscFE) obj;
5639       const PetscInt *numFieldDof;
5640       PetscInt        d;
5641 
5642       ierr = PetscFEGetNumComponents(fe, &numComp[f]);CHKERRQ(ierr);
5643       ierr = PetscFEGetNumDof(fe, &numFieldDof);CHKERRQ(ierr);
5644       for (d = 0; d < dim+1; ++d) numDof[f*(dim+1)+d] = numFieldDof[d];
5645     } else {
5646       PetscFV fv = (PetscFV) obj;
5647 
5648       ierr = PetscFVGetNumComponents(fv, &numComp[f]);CHKERRQ(ierr);
5649       numDof[f*(dim+1)+dim] = numComp[f];
5650     }
5651   }
5652   for (f = 0; f < numFields; ++f) {
5653     PetscInt d;
5654     for (d = 1; d < dim; ++d) {
5655       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.");
5656     }
5657   }
5658   ierr = DMPlexCreateSection(dm, dim, numFields, numComp, numDof, numBC, bcFields, bcComps, bcPoints, NULL, &section);CHKERRQ(ierr);
5659   for (f = 0; f < numFields; ++f) {
5660     PetscFE     fe;
5661     const char *name;
5662 
5663     ierr = DMGetField(dm, f, (PetscObject *) &fe);CHKERRQ(ierr);
5664     ierr = PetscObjectGetName((PetscObject) fe, &name);CHKERRQ(ierr);
5665     ierr = PetscSectionSetFieldName(section, f, name);CHKERRQ(ierr);
5666   }
5667   ierr = DMSetDefaultSection(dm, section);CHKERRQ(ierr);
5668   ierr = PetscSectionDestroy(&section);CHKERRQ(ierr);
5669   for (bc = 0; bc < numBC; ++bc) {ierr = ISDestroy(&bcPoints[bc]);CHKERRQ(ierr);ierr = ISDestroy(&bcComps[bc]);CHKERRQ(ierr);}
5670   ierr = PetscFree3(bcFields,bcPoints,bcComps);CHKERRQ(ierr);
5671   ierr = PetscFree2(numComp,numDof);CHKERRQ(ierr);
5672   ierr = PetscFree(isFE);CHKERRQ(ierr);
5673   PetscFunctionReturn(0);
5674 }
5675 
5676 #undef __FUNCT__
5677 #define __FUNCT__ "DMPlexGetCoarseDM"
5678 /*@
5679   DMPlexGetCoarseDM - Get the coarse mesh from which this was obtained by refinement
5680 
5681   Input Parameter:
5682 . dm - The DMPlex object
5683 
5684   Output Parameter:
5685 . cdm - The coarse DM
5686 
5687   Level: intermediate
5688 
5689 .seealso: DMPlexSetCoarseDM()
5690 @*/
5691 PetscErrorCode DMPlexGetCoarseDM(DM dm, DM *cdm)
5692 {
5693   PetscFunctionBegin;
5694   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5695   PetscValidPointer(cdm, 2);
5696   *cdm = ((DM_Plex *) dm->data)->coarseMesh;
5697   PetscFunctionReturn(0);
5698 }
5699 
5700 #undef __FUNCT__
5701 #define __FUNCT__ "DMPlexSetCoarseDM"
5702 /*@
5703   DMPlexSetCoarseDM - Set the coarse mesh from which this was obtained by refinement
5704 
5705   Input Parameters:
5706 + dm - The DMPlex object
5707 - cdm - The coarse DM
5708 
5709   Level: intermediate
5710 
5711 .seealso: DMPlexGetCoarseDM()
5712 @*/
5713 PetscErrorCode DMPlexSetCoarseDM(DM dm, DM cdm)
5714 {
5715   DM_Plex       *mesh;
5716   PetscErrorCode ierr;
5717 
5718   PetscFunctionBegin;
5719   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5720   if (cdm) PetscValidHeaderSpecific(cdm, DM_CLASSID, 2);
5721   mesh = (DM_Plex *) dm->data;
5722   ierr = DMDestroy(&mesh->coarseMesh);CHKERRQ(ierr);
5723   mesh->coarseMesh = cdm;
5724   ierr = PetscObjectReference((PetscObject) mesh->coarseMesh);CHKERRQ(ierr);
5725   PetscFunctionReturn(0);
5726 }
5727 
5728 /* anchors */
5729 #undef __FUNCT__
5730 #define __FUNCT__ "DMPlexGetAnchors"
5731 /*@
5732   DMPlexGetAnchors - Get the layout of the anchor (point-to-point) constraints.  Typically, the user will not have to
5733   call DMPlexGetAnchors() directly: if there are anchors, then DMPlexGetAnchors() is called during DMGetConstraints().
5734 
5735   not collective
5736 
5737   Input Parameters:
5738 . dm - The DMPlex object
5739 
5740   Output Parameters:
5741 + anchorSection - If not NULL, set to the section describing which points anchor the constrained points.
5742 - anchorIS - If not NULL, set to the list of anchors indexed by anchorSection
5743 
5744 
5745   Level: intermediate
5746 
5747 .seealso: DMPlexSetAnchors(), DMGetConstraints(), DMSetConstraints()
5748 @*/
5749 PetscErrorCode DMPlexGetAnchors(DM dm, PetscSection *anchorSection, IS *anchorIS)
5750 {
5751   DM_Plex *plex = (DM_Plex *)dm->data;
5752   PetscErrorCode ierr;
5753 
5754   PetscFunctionBegin;
5755   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5756   if (!plex->anchorSection && !plex->anchorIS && plex->createanchors) {ierr = (*plex->createanchors)(dm);CHKERRQ(ierr);}
5757   if (anchorSection) *anchorSection = plex->anchorSection;
5758   if (anchorIS) *anchorIS = plex->anchorIS;
5759   PetscFunctionReturn(0);
5760 }
5761 
5762 #undef __FUNCT__
5763 #define __FUNCT__ "DMPlexSetAnchors"
5764 /*@
5765   DMPlexSetAnchors - Set the layout of the local anchor (point-to-point) constraints.  Unlike boundary conditions,
5766   when a point's degrees of freedom in a section are constrained to an outside value, the anchor constraints set a
5767   point's degrees of freedom to be a linear combination of other points' degrees of freedom.
5768 
5769   After specifying the layout of constraints with DMPlexSetAnchors(), one specifies the constraints by calling
5770   DMGetConstraints() and filling in the entries in the constraint matrix.
5771 
5772   collective on dm
5773 
5774   Input Parameters:
5775 + dm - The DMPlex object
5776 . 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).
5777 - anchorIS - The list of all anchor points.  Must have a local communicator (PETSC_COMM_SELF or derivative).
5778 
5779   The reference counts of anchorSection and anchorIS are incremented.
5780 
5781   Level: intermediate
5782 
5783 .seealso: DMPlexGetAnchors(), DMGetConstraints(), DMSetConstraints()
5784 @*/
5785 PetscErrorCode DMPlexSetAnchors(DM dm, PetscSection anchorSection, IS anchorIS)
5786 {
5787   DM_Plex        *plex = (DM_Plex *)dm->data;
5788   PetscMPIInt    result;
5789   PetscErrorCode ierr;
5790 
5791   PetscFunctionBegin;
5792   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5793   if (anchorSection) {
5794     PetscValidHeaderSpecific(anchorSection,PETSC_SECTION_CLASSID,2);
5795     ierr = MPI_Comm_compare(PETSC_COMM_SELF,PetscObjectComm((PetscObject)anchorSection),&result);CHKERRQ(ierr);
5796     if (result != MPI_CONGRUENT) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NOTSAMECOMM,"anchor section must have local communicator");
5797   }
5798   if (anchorIS) {
5799     PetscValidHeaderSpecific(anchorIS,IS_CLASSID,3);
5800     ierr = MPI_Comm_compare(PETSC_COMM_SELF,PetscObjectComm((PetscObject)anchorIS),&result);CHKERRQ(ierr);
5801     if (result != MPI_CONGRUENT) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NOTSAMECOMM,"anchor IS must have local communicator");
5802   }
5803 
5804   ierr = PetscObjectReference((PetscObject)anchorSection);CHKERRQ(ierr);
5805   ierr = PetscSectionDestroy(&plex->anchorSection);CHKERRQ(ierr);
5806   plex->anchorSection = anchorSection;
5807 
5808   ierr = PetscObjectReference((PetscObject)anchorIS);CHKERRQ(ierr);
5809   ierr = ISDestroy(&plex->anchorIS);CHKERRQ(ierr);
5810   plex->anchorIS = anchorIS;
5811 
5812 #if defined(PETSC_USE_DEBUG)
5813   if (anchorIS && anchorSection) {
5814     PetscInt size, a, pStart, pEnd;
5815     const PetscInt *anchors;
5816 
5817     ierr = PetscSectionGetChart(anchorSection,&pStart,&pEnd);CHKERRQ(ierr);
5818     ierr = ISGetLocalSize(anchorIS,&size);CHKERRQ(ierr);
5819     ierr = ISGetIndices(anchorIS,&anchors);CHKERRQ(ierr);
5820     for (a = 0; a < size; a++) {
5821       PetscInt p;
5822 
5823       p = anchors[a];
5824       if (p >= pStart && p < pEnd) {
5825         PetscInt dof;
5826 
5827         ierr = PetscSectionGetDof(anchorSection,p,&dof);CHKERRQ(ierr);
5828         if (dof) {
5829           PetscErrorCode ierr2;
5830 
5831           ierr2 = ISRestoreIndices(anchorIS,&anchors);CHKERRQ(ierr2);
5832           SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Point %d cannot be constrained and an anchor",p);
5833         }
5834       }
5835     }
5836     ierr = ISRestoreIndices(anchorIS,&anchors);CHKERRQ(ierr);
5837   }
5838 #endif
5839   /* reset the generic constraints */
5840   ierr = DMSetDefaultConstraints(dm,NULL,NULL);CHKERRQ(ierr);
5841   PetscFunctionReturn(0);
5842 }
5843 
5844 #undef __FUNCT__
5845 #define __FUNCT__ "DMPlexCreateConstraintSection_Anchors"
5846 static PetscErrorCode DMPlexCreateConstraintSection_Anchors(DM dm, PetscSection section, PetscSection *cSec)
5847 {
5848   PetscSection anchorSection;
5849   PetscInt pStart, pEnd, p, dof, numFields, f;
5850   PetscErrorCode ierr;
5851 
5852   PetscFunctionBegin;
5853   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5854   ierr = DMPlexGetAnchors(dm,&anchorSection,NULL);CHKERRQ(ierr);
5855   ierr = PetscSectionCreate(PETSC_COMM_SELF,cSec);CHKERRQ(ierr);
5856   ierr = PetscSectionGetNumFields(section,&numFields);CHKERRQ(ierr);
5857   ierr = PetscSectionSetNumFields(*cSec,numFields);CHKERRQ(ierr);
5858   ierr = PetscSectionGetChart(anchorSection,&pStart,&pEnd);CHKERRQ(ierr);
5859   ierr = PetscSectionSetChart(*cSec,pStart,pEnd);CHKERRQ(ierr);
5860   for (p = pStart; p < pEnd; p++) {
5861     ierr = PetscSectionGetDof(anchorSection,p,&dof);CHKERRQ(ierr);
5862     if (dof) {
5863       ierr = PetscSectionGetDof(section,p,&dof);CHKERRQ(ierr);
5864       ierr = PetscSectionSetDof(*cSec,p,dof);CHKERRQ(ierr);
5865       for (f = 0; f < numFields; f++) {
5866         ierr = PetscSectionGetFieldDof(section,p,f,&dof);CHKERRQ(ierr);
5867         ierr = PetscSectionSetFieldDof(*cSec,p,f,dof);CHKERRQ(ierr);
5868       }
5869     }
5870   }
5871   ierr = PetscSectionSetUp(*cSec);CHKERRQ(ierr);
5872   PetscFunctionReturn(0);
5873 }
5874 
5875 #undef __FUNCT__
5876 #define __FUNCT__ "DMPlexCreateConstraintMatrix_Anchors"
5877 static PetscErrorCode DMPlexCreateConstraintMatrix_Anchors(DM dm, PetscSection section, PetscSection cSec, Mat *cMat)
5878 {
5879   PetscSection aSec;
5880   PetscInt pStart, pEnd, p, dof, aDof, aOff, off, nnz, annz, m, n, q, a, offset, *i, *j;
5881   const PetscInt *anchors;
5882   PetscInt numFields, f;
5883   IS aIS;
5884   PetscErrorCode ierr;
5885 
5886   PetscFunctionBegin;
5887   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5888   ierr = PetscSectionGetStorageSize(cSec, &m);CHKERRQ(ierr);
5889   ierr = PetscSectionGetStorageSize(section, &n);CHKERRQ(ierr);
5890   ierr = MatCreate(PETSC_COMM_SELF,cMat);CHKERRQ(ierr);
5891   ierr = MatSetSizes(*cMat,m,n,m,n);CHKERRQ(ierr);
5892   ierr = MatSetType(*cMat,MATSEQAIJ);CHKERRQ(ierr);
5893   ierr = DMPlexGetAnchors(dm,&aSec,&aIS);CHKERRQ(ierr);
5894   ierr = ISGetIndices(aIS,&anchors);CHKERRQ(ierr);
5895   ierr = PetscSectionGetChart(aSec,&pStart,&pEnd);CHKERRQ(ierr);
5896   ierr = PetscMalloc1(m+1,&i);CHKERRQ(ierr);
5897   i[0] = 0;
5898   ierr = PetscSectionGetNumFields(section,&numFields);CHKERRQ(ierr);
5899   for (p = pStart; p < pEnd; p++) {
5900     ierr = PetscSectionGetDof(aSec,p,&dof);CHKERRQ(ierr);
5901     if (!dof) continue;
5902     ierr = PetscSectionGetOffset(aSec,p,&off);CHKERRQ(ierr);
5903     if (numFields) {
5904       for (f = 0; f < numFields; f++) {
5905         annz = 0;
5906         for (q = 0; q < dof; q++) {
5907           a = anchors[off + q];
5908           ierr = PetscSectionGetFieldDof(section,a,f,&aDof);CHKERRQ(ierr);
5909           annz += aDof;
5910         }
5911         ierr = PetscSectionGetFieldDof(cSec,p,f,&dof);CHKERRQ(ierr);
5912         ierr = PetscSectionGetFieldOffset(cSec,p,f,&off);CHKERRQ(ierr);
5913         for (q = 0; q < dof; q++) {
5914           i[off + q + 1] = i[off + q] + annz;
5915         }
5916       }
5917     }
5918     else {
5919       annz = 0;
5920       for (q = 0; q < dof; q++) {
5921         a = anchors[off + q];
5922         ierr = PetscSectionGetDof(section,a,&aDof);CHKERRQ(ierr);
5923         annz += aDof;
5924       }
5925       ierr = PetscSectionGetDof(cSec,p,&dof);CHKERRQ(ierr);
5926       ierr = PetscSectionGetOffset(cSec,p,&off);CHKERRQ(ierr);
5927       for (q = 0; q < dof; q++) {
5928         i[off + q + 1] = i[off + q] + annz;
5929       }
5930     }
5931   }
5932   nnz = i[m];
5933   ierr = PetscMalloc1(nnz,&j);CHKERRQ(ierr);
5934   offset = 0;
5935   for (p = pStart; p < pEnd; p++) {
5936     if (numFields) {
5937       for (f = 0; f < numFields; f++) {
5938         ierr = PetscSectionGetFieldDof(cSec,p,f,&dof);CHKERRQ(ierr);
5939         for (q = 0; q < dof; q++) {
5940           PetscInt rDof, rOff, r;
5941           ierr = PetscSectionGetDof(aSec,p,&rDof);CHKERRQ(ierr);
5942           ierr = PetscSectionGetOffset(aSec,p,&rOff);CHKERRQ(ierr);
5943           for (r = 0; r < rDof; r++) {
5944             PetscInt s;
5945 
5946             a = anchors[rOff + r];
5947 
5948             ierr = PetscSectionGetFieldDof(section,a,f,&aDof);CHKERRQ(ierr);
5949             ierr = PetscSectionGetFieldOffset(section,a,f,&aOff);CHKERRQ(ierr);
5950             for (s = 0; s < aDof; s++) {
5951               j[offset++] = aOff + s;
5952             }
5953           }
5954         }
5955       }
5956     }
5957     else {
5958       ierr = PetscSectionGetDof(cSec,p,&dof);CHKERRQ(ierr);
5959       for (q = 0; q < dof; q++) {
5960         PetscInt rDof, rOff, r;
5961         ierr = PetscSectionGetDof(aSec,p,&rDof);CHKERRQ(ierr);
5962         ierr = PetscSectionGetOffset(aSec,p,&rOff);CHKERRQ(ierr);
5963         for (r = 0; r < rDof; r++) {
5964           PetscInt s;
5965 
5966           a = anchors[rOff + r];
5967 
5968           ierr = PetscSectionGetDof(section,a,&aDof);CHKERRQ(ierr);
5969           ierr = PetscSectionGetOffset(section,a,&aOff);CHKERRQ(ierr);
5970           for (s = 0; s < aDof; s++) {
5971             j[offset++] = aOff + s;
5972           }
5973         }
5974       }
5975     }
5976   }
5977   ierr = MatSeqAIJSetPreallocationCSR(*cMat,i,j,NULL);CHKERRQ(ierr);
5978   ierr = PetscFree(i);CHKERRQ(ierr);
5979   ierr = PetscFree(j);CHKERRQ(ierr);
5980   ierr = ISRestoreIndices(aIS,&anchors);CHKERRQ(ierr);
5981   PetscFunctionReturn(0);
5982 }
5983 
5984 #undef __FUNCT__
5985 #define __FUNCT__ "DMCreateDefaultConstraints_Plex"
5986 PetscErrorCode DMCreateDefaultConstraints_Plex(DM dm)
5987 {
5988   DM_Plex        *plex = (DM_Plex *)dm->data;
5989   PetscSection   anchorSection, section, cSec;
5990   Mat            cMat;
5991   PetscErrorCode ierr;
5992 
5993   PetscFunctionBegin;
5994   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
5995   ierr = DMPlexGetAnchors(dm,&anchorSection,NULL);CHKERRQ(ierr);
5996   if (anchorSection) {
5997     PetscDS  ds;
5998     PetscInt nf;
5999 
6000     ierr = DMGetDefaultSection(dm,&section);CHKERRQ(ierr);
6001     ierr = DMPlexCreateConstraintSection_Anchors(dm,section,&cSec);CHKERRQ(ierr);
6002     ierr = DMPlexCreateConstraintMatrix_Anchors(dm,section,cSec,&cMat);CHKERRQ(ierr);
6003     ierr = DMGetDS(dm,&ds);CHKERRQ(ierr);
6004     ierr = PetscDSGetNumFields(ds,&nf);CHKERRQ(ierr);
6005     if (nf && plex->computeanchormatrix) {ierr = (*plex->computeanchormatrix)(dm,section,cSec,cMat);CHKERRQ(ierr);}
6006     ierr = DMSetDefaultConstraints(dm,cSec,cMat);CHKERRQ(ierr);
6007     ierr = PetscSectionDestroy(&cSec);CHKERRQ(ierr);
6008     ierr = MatDestroy(&cMat);CHKERRQ(ierr);
6009   }
6010   PetscFunctionReturn(0);
6011 }
6012