xref: /petsc/src/dm/impls/plex/plexcreate.c (revision e9db6b001978f89dee9ee38c966399752c7d7326)
1 #define PETSCDM_DLL
2 #include <petsc/private/dmpleximpl.h>    /*I   "petscdmplex.h"   I*/
3 #include <petscdmda.h>
4 #include <petscsf.h>
5 
6 /*@
7   DMPlexCreateDoublet - Creates a mesh of two cells of the specified type, optionally with later refinement.
8 
9   Collective on MPI_Comm
10 
11   Input Parameters:
12 + comm - The communicator for the DM object
13 . dim - The spatial dimension
14 . simplex - Flag for simplicial cells, otherwise they are tensor product cells
15 . interpolate - Flag to create intermediate mesh pieces (edges, faces)
16 . refinementUniform - Flag for uniform parallel refinement
17 - refinementLimit - A nonzero number indicates the largest admissible volume for a refined cell
18 
19   Output Parameter:
20 . dm  - The DM object
21 
22   Level: beginner
23 
24 .keywords: DM, create
25 .seealso: DMSetType(), DMCreate()
26 @*/
27 PetscErrorCode DMPlexCreateDoublet(MPI_Comm comm, PetscInt dim, PetscBool simplex, PetscBool interpolate, PetscBool refinementUniform, PetscReal refinementLimit, DM *newdm)
28 {
29   DM             dm;
30   PetscInt       p;
31   PetscMPIInt    rank;
32   PetscErrorCode ierr;
33 
34   PetscFunctionBegin;
35   ierr = DMCreate(comm, &dm);CHKERRQ(ierr);
36   ierr = DMSetType(dm, DMPLEX);CHKERRQ(ierr);
37   ierr = DMSetDimension(dm, dim);CHKERRQ(ierr);
38   ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr);
39   switch (dim) {
40   case 2:
41     if (simplex) {ierr = PetscObjectSetName((PetscObject) dm, "triangular");CHKERRQ(ierr);}
42     else         {ierr = PetscObjectSetName((PetscObject) dm, "quadrilateral");CHKERRQ(ierr);}
43     break;
44   case 3:
45     if (simplex) {ierr = PetscObjectSetName((PetscObject) dm, "tetrahedral");CHKERRQ(ierr);}
46     else         {ierr = PetscObjectSetName((PetscObject) dm, "hexahedral");CHKERRQ(ierr);}
47     break;
48   default:
49     SETERRQ1(comm, PETSC_ERR_ARG_OUTOFRANGE, "Cannot make meshes for dimension %d", dim);
50   }
51   if (rank) {
52     PetscInt numPoints[2] = {0, 0};
53     ierr = DMPlexCreateFromDAG(dm, 1, numPoints, NULL, NULL, NULL, NULL);CHKERRQ(ierr);
54   } else {
55     switch (dim) {
56     case 2:
57       if (simplex) {
58         PetscInt    numPoints[2]        = {4, 2};
59         PetscInt    coneSize[6]         = {3, 3, 0, 0, 0, 0};
60         PetscInt    cones[6]            = {2, 3, 4,  5, 4, 3};
61         PetscInt    coneOrientations[6] = {0, 0, 0,  0, 0, 0};
62         PetscScalar vertexCoords[8]     = {-0.5, 0.5, 0.0, 0.0, 0.0, 1.0, 0.5, 0.5};
63         PetscInt    markerPoints[8]     = {2, 1, 3, 1, 4, 1, 5, 1};
64 
65         ierr = DMPlexCreateFromDAG(dm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr);
66         for (p = 0; p < 4; ++p) {ierr = DMSetLabelValue(dm, "marker", markerPoints[p*2], markerPoints[p*2+1]);CHKERRQ(ierr);}
67       } else {
68         PetscInt    numPoints[2]        = {6, 2};
69         PetscInt    coneSize[8]         = {4, 4, 0, 0, 0, 0, 0, 0};
70         PetscInt    cones[8]            = {2, 3, 4, 5,  3, 6, 7, 4};
71         PetscInt    coneOrientations[8] = {0, 0, 0, 0,  0, 0, 0, 0};
72         PetscScalar vertexCoords[12]    = {-1.0, -0.5,  0.0, -0.5,  0.0, 0.5,  -1.0, 0.5,  1.0, -0.5,  1.0, 0.5};
73 
74         ierr = DMPlexCreateFromDAG(dm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr);
75       }
76       break;
77     case 3:
78       if (simplex) {
79         PetscInt    numPoints[2]        = {5, 2};
80         PetscInt    coneSize[7]         = {4, 4, 0, 0, 0, 0, 0};
81         PetscInt    cones[8]            = {4, 3, 5, 2,  5, 3, 4, 6};
82         PetscInt    coneOrientations[8] = {0, 0, 0, 0,  0, 0, 0, 0};
83         PetscScalar vertexCoords[15]    = {-1.0, 0.0, 0.0,  0.0, -1.0, 0.0,  0.0, 0.0, 1.0,  0.0, 1.0, 0.0,  1.0, 0.0, 0.0};
84         PetscInt    markerPoints[10]    = {2, 1, 3, 1, 4, 1, 5, 1, 6, 1};
85 
86         ierr = DMPlexCreateFromDAG(dm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr);
87         for (p = 0; p < 5; ++p) {ierr = DMSetLabelValue(dm, "marker", markerPoints[p*2], markerPoints[p*2+1]);CHKERRQ(ierr);}
88       } else {
89         PetscInt    numPoints[2]         = {12, 2};
90         PetscInt    coneSize[14]         = {8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
91         PetscInt    cones[16]            = {2, 3, 4, 5, 6, 7, 8, 9,  5, 4, 10, 11, 7, 12, 13, 8};
92         PetscInt    coneOrientations[16] = {0, 0, 0, 0, 0, 0, 0, 0,  0, 0,  0,  0, 0,  0,  0, 0};
93         PetscScalar vertexCoords[36]     = {-1.0, -0.5, -0.5,  -1.0,  0.5, -0.5,  0.0,  0.5, -0.5,   0.0, -0.5, -0.5,
94                                             -1.0, -0.5,  0.5,   0.0, -0.5,  0.5,  0.0,  0.5,  0.5,  -1.0,  0.5,  0.5,
95                                              1.0,  0.5, -0.5,   1.0, -0.5, -0.5,  1.0, -0.5,  0.5,   1.0,  0.5,  0.5};
96 
97         ierr = DMPlexCreateFromDAG(dm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr);
98       }
99       break;
100     default:
101       SETERRQ1(comm, PETSC_ERR_ARG_OUTOFRANGE, "Cannot make meshes for dimension %d", dim);
102     }
103   }
104   *newdm = dm;
105   if (refinementLimit > 0.0) {
106     DM rdm;
107     const char *name;
108 
109     ierr = DMPlexSetRefinementUniform(*newdm, PETSC_FALSE);CHKERRQ(ierr);
110     ierr = DMPlexSetRefinementLimit(*newdm, refinementLimit);CHKERRQ(ierr);
111     ierr = DMRefine(*newdm, comm, &rdm);CHKERRQ(ierr);
112     ierr = PetscObjectGetName((PetscObject) *newdm, &name);CHKERRQ(ierr);
113     ierr = PetscObjectSetName((PetscObject)    rdm,  name);CHKERRQ(ierr);
114     ierr = DMDestroy(newdm);CHKERRQ(ierr);
115     *newdm = rdm;
116   }
117   if (interpolate) {
118     DM idm = NULL;
119     const char *name;
120 
121     ierr = DMPlexInterpolate(*newdm, &idm);CHKERRQ(ierr);
122     ierr = PetscObjectGetName((PetscObject) *newdm, &name);CHKERRQ(ierr);
123     ierr = PetscObjectSetName((PetscObject)    idm,  name);CHKERRQ(ierr);
124     ierr = DMPlexCopyCoordinates(*newdm, idm);CHKERRQ(ierr);
125     ierr = DMCopyLabels(*newdm, idm);CHKERRQ(ierr);
126     ierr = DMDestroy(newdm);CHKERRQ(ierr);
127     *newdm = idm;
128   }
129   {
130     DM refinedMesh     = NULL;
131     DM distributedMesh = NULL;
132 
133     /* Distribute mesh over processes */
134     ierr = DMPlexDistribute(*newdm, 0, NULL, &distributedMesh);CHKERRQ(ierr);
135     if (distributedMesh) {
136       ierr = DMDestroy(newdm);CHKERRQ(ierr);
137       *newdm = distributedMesh;
138     }
139     if (refinementUniform) {
140       ierr = DMPlexSetRefinementUniform(*newdm, refinementUniform);CHKERRQ(ierr);
141       ierr = DMRefine(*newdm, comm, &refinedMesh);CHKERRQ(ierr);
142       if (refinedMesh) {
143         ierr = DMDestroy(newdm);CHKERRQ(ierr);
144         *newdm = refinedMesh;
145       }
146     }
147   }
148   PetscFunctionReturn(0);
149 }
150 
151 /*@
152   DMPlexCreateSquareBoundary - Creates a 1D mesh the is the boundary of a square lattice.
153 
154   Collective on MPI_Comm
155 
156   Input Parameters:
157 + comm  - The communicator for the DM object
158 . lower - The lower left corner coordinates
159 . upper - The upper right corner coordinates
160 - edges - The number of cells in each direction
161 
162   Output Parameter:
163 . dm  - The DM object
164 
165   Note: Here is the numbering returned for 2 cells in each direction:
166 $ 18--5-17--4--16
167 $  |     |     |
168 $  6    10     3
169 $  |     |     |
170 $ 19-11-20--9--15
171 $  |     |     |
172 $  7     8     2
173 $  |     |     |
174 $ 12--0-13--1--14
175 
176   Level: beginner
177 
178 .keywords: DM, create
179 .seealso: DMPlexCreateBoxMesh(), DMPlexCreateCubeBoundary(), DMSetType(), DMCreate()
180 @*/
181 PetscErrorCode DMPlexCreateSquareBoundary(DM dm, const PetscReal lower[], const PetscReal upper[], const PetscInt edges[])
182 {
183   const PetscInt numVertices    = (edges[0]+1)*(edges[1]+1);
184   const PetscInt numEdges       = edges[0]*(edges[1]+1) + (edges[0]+1)*edges[1];
185   PetscInt       markerTop      = 1;
186   PetscInt       markerBottom   = 1;
187   PetscInt       markerRight    = 1;
188   PetscInt       markerLeft     = 1;
189   PetscBool      markerSeparate = PETSC_FALSE;
190   Vec            coordinates;
191   PetscSection   coordSection;
192   PetscScalar    *coords;
193   PetscInt       coordSize;
194   PetscMPIInt    rank;
195   PetscInt       v, vx, vy;
196   PetscErrorCode ierr;
197 
198   PetscFunctionBegin;
199   ierr = PetscOptionsGetBool(((PetscObject) dm)->options,((PetscObject) dm)->prefix, "-dm_plex_separate_marker", &markerSeparate, NULL);CHKERRQ(ierr);
200   if (markerSeparate) {
201     markerTop    = 3;
202     markerBottom = 1;
203     markerRight  = 2;
204     markerLeft   = 4;
205   }
206   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)dm), &rank);CHKERRQ(ierr);
207   if (!rank) {
208     PetscInt e, ex, ey;
209 
210     ierr = DMPlexSetChart(dm, 0, numEdges+numVertices);CHKERRQ(ierr);
211     for (e = 0; e < numEdges; ++e) {
212       ierr = DMPlexSetConeSize(dm, e, 2);CHKERRQ(ierr);
213     }
214     ierr = DMSetUp(dm);CHKERRQ(ierr); /* Allocate space for cones */
215     for (vx = 0; vx <= edges[0]; vx++) {
216       for (ey = 0; ey < edges[1]; ey++) {
217         PetscInt edge   = vx*edges[1] + ey + edges[0]*(edges[1]+1);
218         PetscInt vertex = ey*(edges[0]+1) + vx + numEdges;
219         PetscInt cone[2];
220 
221         cone[0] = vertex; cone[1] = vertex+edges[0]+1;
222         ierr    = DMPlexSetCone(dm, edge, cone);CHKERRQ(ierr);
223         if (vx == edges[0]) {
224           ierr = DMSetLabelValue(dm, "marker", edge,    markerRight);CHKERRQ(ierr);
225           ierr = DMSetLabelValue(dm, "marker", cone[0], markerRight);CHKERRQ(ierr);
226           if (ey == edges[1]-1) {
227             ierr = DMSetLabelValue(dm, "marker", cone[1], markerRight);CHKERRQ(ierr);
228           }
229         } else if (vx == 0) {
230           ierr = DMSetLabelValue(dm, "marker", edge,    markerLeft);CHKERRQ(ierr);
231           ierr = DMSetLabelValue(dm, "marker", cone[0], markerLeft);CHKERRQ(ierr);
232           if (ey == edges[1]-1) {
233             ierr = DMSetLabelValue(dm, "marker", cone[1], markerLeft);CHKERRQ(ierr);
234           }
235         }
236       }
237     }
238     for (vy = 0; vy <= edges[1]; vy++) {
239       for (ex = 0; ex < edges[0]; ex++) {
240         PetscInt edge   = vy*edges[0]     + ex;
241         PetscInt vertex = vy*(edges[0]+1) + ex + numEdges;
242         PetscInt cone[2];
243 
244         cone[0] = vertex; cone[1] = vertex+1;
245         ierr    = DMPlexSetCone(dm, edge, cone);CHKERRQ(ierr);
246         if (vy == edges[1]) {
247           ierr = DMSetLabelValue(dm, "marker", edge,    markerTop);CHKERRQ(ierr);
248           ierr = DMSetLabelValue(dm, "marker", cone[0], markerTop);CHKERRQ(ierr);
249           if (ex == edges[0]-1) {
250             ierr = DMSetLabelValue(dm, "marker", cone[1], markerTop);CHKERRQ(ierr);
251           }
252         } else if (vy == 0) {
253           ierr = DMSetLabelValue(dm, "marker", edge,    markerBottom);CHKERRQ(ierr);
254           ierr = DMSetLabelValue(dm, "marker", cone[0], markerBottom);CHKERRQ(ierr);
255           if (ex == edges[0]-1) {
256             ierr = DMSetLabelValue(dm, "marker", cone[1], markerBottom);CHKERRQ(ierr);
257           }
258         }
259       }
260     }
261   }
262   ierr = DMPlexSymmetrize(dm);CHKERRQ(ierr);
263   ierr = DMPlexStratify(dm);CHKERRQ(ierr);
264   /* Build coordinates */
265   ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
266   ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr);
267   ierr = PetscSectionSetChart(coordSection, numEdges, numEdges + numVertices);CHKERRQ(ierr);
268   ierr = PetscSectionSetFieldComponents(coordSection, 0, 2);CHKERRQ(ierr);
269   for (v = numEdges; v < numEdges+numVertices; ++v) {
270     ierr = PetscSectionSetDof(coordSection, v, 2);CHKERRQ(ierr);
271     ierr = PetscSectionSetFieldDof(coordSection, v, 0, 2);CHKERRQ(ierr);
272   }
273   ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr);
274   ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr);
275   ierr = VecCreate(PETSC_COMM_SELF, &coordinates);CHKERRQ(ierr);
276   ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr);
277   ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr);
278   ierr = VecSetBlockSize(coordinates, 2);CHKERRQ(ierr);
279   ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr);
280   ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
281   for (vy = 0; vy <= edges[1]; ++vy) {
282     for (vx = 0; vx <= edges[0]; ++vx) {
283       coords[(vy*(edges[0]+1)+vx)*2+0] = lower[0] + ((upper[0] - lower[0])/edges[0])*vx;
284       coords[(vy*(edges[0]+1)+vx)*2+1] = lower[1] + ((upper[1] - lower[1])/edges[1])*vy;
285     }
286   }
287   ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
288   ierr = DMSetCoordinatesLocal(dm, coordinates);CHKERRQ(ierr);
289   ierr = VecDestroy(&coordinates);CHKERRQ(ierr);
290   PetscFunctionReturn(0);
291 }
292 
293 /*@
294   DMPlexCreateCubeBoundary - Creates a 2D mesh the is the boundary of a cubic lattice.
295 
296   Collective on MPI_Comm
297 
298   Input Parameters:
299 + comm  - The communicator for the DM object
300 . lower - The lower left front corner coordinates
301 . upper - The upper right back corner coordinates
302 - edges - The number of cells in each direction
303 
304   Output Parameter:
305 . dm  - The DM object
306 
307   Level: beginner
308 
309 .keywords: DM, create
310 .seealso: DMPlexCreateBoxMesh(), DMPlexCreateSquareBoundary(), DMSetType(), DMCreate()
311 @*/
312 PetscErrorCode DMPlexCreateCubeBoundary(DM dm, const PetscReal lower[], const PetscReal upper[], const PetscInt faces[])
313 {
314   PetscInt       vertices[3], numVertices;
315   PetscInt       numFaces    = 2*faces[0]*faces[1] + 2*faces[1]*faces[2] + 2*faces[0]*faces[2];
316   Vec            coordinates;
317   PetscSection   coordSection;
318   PetscScalar    *coords;
319   PetscInt       coordSize;
320   PetscMPIInt    rank;
321   PetscInt       v, vx, vy, vz;
322   PetscInt       voffset, iface=0, cone[4];
323   PetscErrorCode ierr;
324 
325   PetscFunctionBegin;
326   if ((faces[0] < 1) || (faces[1] < 1) || (faces[2] < 1)) SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Must have at least 1 face per side");
327   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)dm), &rank);CHKERRQ(ierr);
328   vertices[0] = faces[0]+1; vertices[1] = faces[1]+1; vertices[2] = faces[2]+1;
329   numVertices = vertices[0]*vertices[1]*vertices[2];
330   if (!rank) {
331     PetscInt f;
332 
333     ierr = DMPlexSetChart(dm, 0, numFaces+numVertices);CHKERRQ(ierr);
334     for (f = 0; f < numFaces; ++f) {
335       ierr = DMPlexSetConeSize(dm, f, 4);CHKERRQ(ierr);
336     }
337     ierr = DMSetUp(dm);CHKERRQ(ierr); /* Allocate space for cones */
338     for (v = 0; v < numFaces+numVertices; ++v) {
339       ierr = DMSetLabelValue(dm, "marker", v, 1);CHKERRQ(ierr);
340     }
341 
342     /* Side 0 (Top) */
343     for (vy = 0; vy < faces[1]; vy++) {
344       for (vx = 0; vx < faces[0]; vx++) {
345         voffset = numFaces + vertices[0]*vertices[1]*(vertices[2]-1) + vy*vertices[0] + vx;
346         cone[0] = voffset; cone[1] = voffset+1; cone[2] = voffset+vertices[0]+1; cone[3] = voffset+vertices[0];
347         ierr    = DMPlexSetCone(dm, iface, cone);CHKERRQ(ierr);
348         iface++;
349       }
350     }
351 
352     /* Side 1 (Bottom) */
353     for (vy = 0; vy < faces[1]; vy++) {
354       for (vx = 0; vx < faces[0]; vx++) {
355         voffset = numFaces + vy*(faces[0]+1) + vx;
356         cone[0] = voffset+1; cone[1] = voffset; cone[2] = voffset+vertices[0]; cone[3] = voffset+vertices[0]+1;
357         ierr    = DMPlexSetCone(dm, iface, cone);CHKERRQ(ierr);
358         iface++;
359       }
360     }
361 
362     /* Side 2 (Front) */
363     for (vz = 0; vz < faces[2]; vz++) {
364       for (vx = 0; vx < faces[0]; vx++) {
365         voffset = numFaces + vz*vertices[0]*vertices[1] + vx;
366         cone[0] = voffset; cone[1] = voffset+1; cone[2] = voffset+vertices[0]*vertices[1]+1; cone[3] = voffset+vertices[0]*vertices[1];
367         ierr    = DMPlexSetCone(dm, iface, cone);CHKERRQ(ierr);
368         iface++;
369       }
370     }
371 
372     /* Side 3 (Back) */
373     for (vz = 0; vz < faces[2]; vz++) {
374       for (vx = 0; vx < faces[0]; vx++) {
375         voffset = numFaces + vz*vertices[0]*vertices[1] + vertices[0]*(vertices[1]-1) + vx;
376         cone[0] = voffset+vertices[0]*vertices[1]; cone[1] = voffset+vertices[0]*vertices[1]+1;
377         cone[2] = voffset+1; cone[3] = voffset;
378         ierr    = DMPlexSetCone(dm, iface, cone);CHKERRQ(ierr);
379         iface++;
380       }
381     }
382 
383     /* Side 4 (Left) */
384     for (vz = 0; vz < faces[2]; vz++) {
385       for (vy = 0; vy < faces[1]; vy++) {
386         voffset = numFaces + vz*vertices[0]*vertices[1] + vy*vertices[0];
387         cone[0] = voffset; cone[1] = voffset+vertices[0]*vertices[1];
388         cone[2] = voffset+vertices[0]*vertices[1]+vertices[0]; cone[3] = voffset+vertices[0];
389         ierr    = DMPlexSetCone(dm, iface, cone);CHKERRQ(ierr);
390         iface++;
391       }
392     }
393 
394     /* Side 5 (Right) */
395     for (vz = 0; vz < faces[2]; vz++) {
396       for (vy = 0; vy < faces[1]; vy++) {
397         voffset = numFaces + vz*vertices[0]*vertices[1] + vy*vertices[0] + vx;
398         cone[0] = voffset+vertices[0]*vertices[1]; cone[1] = voffset;
399         cone[2] = voffset+vertices[0]; cone[3] = voffset+vertices[0]*vertices[1]+vertices[0];
400         ierr    = DMPlexSetCone(dm, iface, cone);CHKERRQ(ierr);
401         iface++;
402       }
403     }
404   }
405   ierr = DMPlexSymmetrize(dm);CHKERRQ(ierr);
406   ierr = DMPlexStratify(dm);CHKERRQ(ierr);
407   /* Build coordinates */
408   ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
409   ierr = PetscSectionSetChart(coordSection, numFaces, numFaces + numVertices);CHKERRQ(ierr);
410   for (v = numFaces; v < numFaces+numVertices; ++v) {
411     ierr = PetscSectionSetDof(coordSection, v, 3);CHKERRQ(ierr);
412   }
413   ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr);
414   ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr);
415   ierr = VecCreate(PETSC_COMM_SELF, &coordinates);CHKERRQ(ierr);
416   ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr);
417   ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr);
418   ierr = VecSetBlockSize(coordinates, 3);CHKERRQ(ierr);
419   ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr);
420   ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
421   for (vz = 0; vz <= faces[2]; ++vz) {
422     for (vy = 0; vy <= faces[1]; ++vy) {
423       for (vx = 0; vx <= faces[0]; ++vx) {
424         coords[((vz*(faces[1]+1)+vy)*(faces[0]+1)+vx)*3+0] = lower[0] + ((upper[0] - lower[0])/faces[0])*vx;
425         coords[((vz*(faces[1]+1)+vy)*(faces[0]+1)+vx)*3+1] = lower[1] + ((upper[1] - lower[1])/faces[1])*vy;
426         coords[((vz*(faces[1]+1)+vy)*(faces[0]+1)+vx)*3+2] = lower[2] + ((upper[2] - lower[2])/faces[2])*vz;
427       }
428     }
429   }
430   ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
431   ierr = DMSetCoordinatesLocal(dm, coordinates);CHKERRQ(ierr);
432   ierr = VecDestroy(&coordinates);CHKERRQ(ierr);
433   PetscFunctionReturn(0);
434 }
435 
436 static PetscErrorCode DMPlexCreateCubeMesh_Internal(DM dm, const PetscReal lower[], const PetscReal upper[], const PetscInt edges[], DMBoundaryType bdX, DMBoundaryType bdY, DMBoundaryType bdZ)
437 {
438   PetscInt       markerTop      = 1, faceMarkerTop      = 1;
439   PetscInt       markerBottom   = 1, faceMarkerBottom   = 1;
440   PetscInt       markerFront    = 1, faceMarkerFront    = 1;
441   PetscInt       markerBack     = 1, faceMarkerBack     = 1;
442   PetscInt       markerRight    = 1, faceMarkerRight    = 1;
443   PetscInt       markerLeft     = 1, faceMarkerLeft     = 1;
444   PetscInt       dim;
445   PetscBool      markerSeparate = PETSC_FALSE;
446   PetscMPIInt    rank;
447   PetscErrorCode ierr;
448 
449   PetscFunctionBegin;
450   ierr = DMGetDimension(dm,&dim);CHKERRQ(ierr);
451   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)dm), &rank);CHKERRQ(ierr);
452   ierr = DMCreateLabel(dm,"marker");CHKERRQ(ierr);
453   ierr = DMCreateLabel(dm,"Face Sets");CHKERRQ(ierr);
454   switch (dim) {
455   case 2:
456     faceMarkerTop    = 3;
457     faceMarkerBottom = 1;
458     faceMarkerRight  = 2;
459     faceMarkerLeft   = 4;
460     break;
461   case 3:
462     faceMarkerBottom = 1;
463     faceMarkerTop    = 2;
464     faceMarkerFront  = 3;
465     faceMarkerBack   = 4;
466     faceMarkerRight  = 5;
467     faceMarkerLeft   = 6;
468     break;
469   default:
470     SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Dimension %d not supported",dim);
471     break;
472   }
473   ierr = PetscOptionsGetBool(((PetscObject) dm)->options,((PetscObject) dm)->prefix, "-dm_plex_separate_marker", &markerSeparate, NULL);CHKERRQ(ierr);
474   if (markerSeparate) {
475     markerBottom = faceMarkerBottom;
476     markerTop    = faceMarkerTop;
477     markerFront  = faceMarkerFront;
478     markerBack   = faceMarkerBack;
479     markerRight  = faceMarkerRight;
480     markerLeft   = faceMarkerLeft;
481   }
482   {
483     const PetscInt numXEdges    = !rank ? edges[0] : 0;
484     const PetscInt numYEdges    = !rank ? edges[1] : 0;
485     const PetscInt numZEdges    = !rank ? edges[2] : 0;
486     const PetscInt numXVertices = !rank ? (bdX == DM_BOUNDARY_PERIODIC || bdX == DM_BOUNDARY_TWIST ? edges[0] : edges[0]+1) : 0;
487     const PetscInt numYVertices = !rank ? (bdY == DM_BOUNDARY_PERIODIC || bdY == DM_BOUNDARY_TWIST ? edges[1] : edges[1]+1) : 0;
488     const PetscInt numZVertices = !rank ? (bdZ == DM_BOUNDARY_PERIODIC || bdZ == DM_BOUNDARY_TWIST ? edges[2] : edges[2]+1) : 0;
489     const PetscInt numCells     = numXEdges*numYEdges*numZEdges;
490     const PetscInt numXFaces    = numYEdges*numZEdges;
491     const PetscInt numYFaces    = numXEdges*numZEdges;
492     const PetscInt numZFaces    = numXEdges*numYEdges;
493     const PetscInt numTotXFaces = numXVertices*numXFaces;
494     const PetscInt numTotYFaces = numYVertices*numYFaces;
495     const PetscInt numTotZFaces = numZVertices*numZFaces;
496     const PetscInt numFaces     = numTotXFaces + numTotYFaces + numTotZFaces;
497     const PetscInt numTotXEdges = numXEdges*numYVertices*numZVertices;
498     const PetscInt numTotYEdges = numYEdges*numXVertices*numZVertices;
499     const PetscInt numTotZEdges = numZEdges*numXVertices*numYVertices;
500     const PetscInt numVertices  = numXVertices*numYVertices*numZVertices;
501     const PetscInt numEdges     = numTotXEdges + numTotYEdges + numTotZEdges;
502     const PetscInt firstVertex  = (dim == 2) ? numFaces : numCells;
503     const PetscInt firstXFace   = (dim == 2) ? 0 : numCells + numVertices;
504     const PetscInt firstYFace   = firstXFace + numTotXFaces;
505     const PetscInt firstZFace   = firstYFace + numTotYFaces;
506     const PetscInt firstXEdge   = numCells + numFaces + numVertices;
507     const PetscInt firstYEdge   = firstXEdge + numTotXEdges;
508     const PetscInt firstZEdge   = firstYEdge + numTotYEdges;
509     Vec            coordinates;
510     PetscSection   coordSection;
511     PetscScalar   *coords;
512     PetscInt       coordSize;
513     PetscInt       v, vx, vy, vz;
514     PetscInt       c, f, fx, fy, fz, e, ex, ey, ez;
515 
516     ierr = DMPlexSetChart(dm, 0, numCells+numFaces+numEdges+numVertices);CHKERRQ(ierr);
517     for (c = 0; c < numCells; c++) {
518       ierr = DMPlexSetConeSize(dm, c, 6);CHKERRQ(ierr);
519     }
520     for (f = firstXFace; f < firstXFace+numFaces; ++f) {
521       ierr = DMPlexSetConeSize(dm, f, 4);CHKERRQ(ierr);
522     }
523     for (e = firstXEdge; e < firstXEdge+numEdges; ++e) {
524       ierr = DMPlexSetConeSize(dm, e, 2);CHKERRQ(ierr);
525     }
526     ierr = DMSetUp(dm);CHKERRQ(ierr); /* Allocate space for cones */
527     /* Build cells */
528     for (fz = 0; fz < numZEdges; ++fz) {
529       for (fy = 0; fy < numYEdges; ++fy) {
530         for (fx = 0; fx < numXEdges; ++fx) {
531           PetscInt cell    = (fz*numYEdges + fy)*numXEdges + fx;
532           PetscInt faceB   = firstZFace + (fy*numXEdges+fx)*numZVertices +   fz;
533           PetscInt faceT   = firstZFace + (fy*numXEdges+fx)*numZVertices + ((fz+1)%numZVertices);
534           PetscInt faceF   = firstYFace + (fz*numXEdges+fx)*numYVertices +   fy;
535           PetscInt faceK   = firstYFace + (fz*numXEdges+fx)*numYVertices + ((fy+1)%numYVertices);
536           PetscInt faceL   = firstXFace + (fz*numYEdges+fy)*numXVertices +   fx;
537           PetscInt faceR   = firstXFace + (fz*numYEdges+fy)*numXVertices + ((fx+1)%numXVertices);
538                             /* B,  T,  F,  K,  R,  L */
539           PetscInt ornt[6] = {-4,  0,  0, -1,  0, -4}; /* ??? */
540           PetscInt cone[6];
541 
542           /* no boundary twisting in 3D */
543           cone[0] = faceB; cone[1] = faceT; cone[2] = faceF; cone[3] = faceK; cone[4] = faceR; cone[5] = faceL;
544           ierr    = DMPlexSetCone(dm, cell, cone);CHKERRQ(ierr);
545           ierr    = DMPlexSetConeOrientation(dm, cell, ornt);CHKERRQ(ierr);
546         }
547       }
548     }
549     /* Build x faces */
550     for (fz = 0; fz < numZEdges; ++fz) {
551       for (fy = 0; fy < numYEdges; ++fy) {
552         for (fx = 0; fx < numXVertices; ++fx) {
553           PetscInt face    = firstXFace + (fz*numYEdges+fy)*numXVertices + fx;
554           PetscInt edgeL   = firstZEdge + (  fy*                 numXVertices+fx)*numZEdges + fz;
555           PetscInt edgeR   = firstZEdge + (((fy+1)%numYVertices)*numXVertices+fx)*numZEdges + fz;
556           PetscInt edgeB   = firstYEdge + (  fz*                 numXVertices+fx)*numYEdges + fy;
557           PetscInt edgeT   = firstYEdge + (((fz+1)%numZVertices)*numXVertices+fx)*numYEdges + fy;
558           PetscInt ornt[4] = {0, 0, -2, -2};
559           PetscInt cone[4];
560 
561           if (dim == 3) {
562             /* markers */
563             if (bdX != DM_BOUNDARY_PERIODIC) {
564               if (fx == numXVertices-1) {
565                 ierr = DMSetLabelValue(dm, "Face Sets", face, faceMarkerRight);CHKERRQ(ierr);
566                 ierr = DMSetLabelValue(dm, "marker", face, markerRight);CHKERRQ(ierr);
567               }
568               else if (fx == 0) {
569                 ierr = DMSetLabelValue(dm, "Face Sets", face, faceMarkerLeft);CHKERRQ(ierr);
570                 ierr = DMSetLabelValue(dm, "marker", face, markerLeft);CHKERRQ(ierr);
571               }
572             }
573           }
574           cone[0] = edgeB; cone[1] = edgeR; cone[2] = edgeT; cone[3] = edgeL;
575           ierr    = DMPlexSetCone(dm, face, cone);CHKERRQ(ierr);
576           ierr    = DMPlexSetConeOrientation(dm, face, ornt);CHKERRQ(ierr);
577         }
578       }
579     }
580     /* Build y faces */
581     for (fz = 0; fz < numZEdges; ++fz) {
582       for (fx = 0; fx < numXEdges; ++fx) {
583         for (fy = 0; fy < numYVertices; ++fy) {
584           PetscInt face    = firstYFace + (fz*numXEdges+fx)*numYVertices + fy;
585           PetscInt edgeL   = firstZEdge + (fy*numXVertices+  fx                 )*numZEdges + fz;
586           PetscInt edgeR   = firstZEdge + (fy*numXVertices+((fx+1)%numXVertices))*numZEdges + fz;
587           PetscInt edgeB   = firstXEdge + (  fz                 *numYVertices+fy)*numXEdges + fx;
588           PetscInt edgeT   = firstXEdge + (((fz+1)%numZVertices)*numYVertices+fy)*numXEdges + fx;
589           PetscInt ornt[4] = {0, 0, -2, -2};
590           PetscInt cone[4];
591 
592           if (dim == 3) {
593             /* markers */
594             if (bdY != DM_BOUNDARY_PERIODIC) {
595               if (fy == numYVertices-1) {
596                 ierr = DMSetLabelValue(dm, "Face Sets", face, faceMarkerBack);CHKERRQ(ierr);
597                 ierr = DMSetLabelValue(dm, "marker", face, markerBack);CHKERRQ(ierr);
598               }
599               else if (fy == 0) {
600                 ierr = DMSetLabelValue(dm, "Face Sets", face, faceMarkerFront);CHKERRQ(ierr);
601                 ierr = DMSetLabelValue(dm, "marker", face, markerFront);CHKERRQ(ierr);
602               }
603             }
604           }
605           cone[0] = edgeB; cone[1] = edgeR; cone[2] = edgeT; cone[3] = edgeL;
606           ierr    = DMPlexSetCone(dm, face, cone);CHKERRQ(ierr);
607           ierr    = DMPlexSetConeOrientation(dm, face, ornt);CHKERRQ(ierr);
608         }
609       }
610     }
611     /* Build z faces */
612     for (fy = 0; fy < numYEdges; ++fy) {
613       for (fx = 0; fx < numXEdges; ++fx) {
614         for (fz = 0; fz < numZVertices; fz++) {
615           PetscInt face    = firstZFace + (fy*numXEdges+fx)*numZVertices + fz;
616           PetscInt edgeL   = firstYEdge + (fz*numXVertices+  fx                 )*numYEdges + fy;
617           PetscInt edgeR   = firstYEdge + (fz*numXVertices+((fx+1)%numXVertices))*numYEdges + fy;
618           PetscInt edgeB   = firstXEdge + (fz*numYVertices+  fy                 )*numXEdges + fx;
619           PetscInt edgeT   = firstXEdge + (fz*numYVertices+((fy+1)%numYVertices))*numXEdges + fx;
620           PetscInt ornt[4] = {0, 0, -2, -2};
621           PetscInt cone[4];
622 
623           if (dim == 2) {
624             if (bdX == DM_BOUNDARY_TWIST && fx == numXEdges-1) {edgeR += numYEdges-1-2*fy; ornt[1] = -2;}
625             if (bdY == DM_BOUNDARY_TWIST && fy == numYEdges-1) {edgeT += numXEdges-1-2*fx; ornt[2] =  0;}
626           }
627           else {
628             /* markers */
629             if (bdZ != DM_BOUNDARY_PERIODIC) {
630               if (fz == numZVertices-1) {
631                 ierr = DMSetLabelValue(dm, "Face Sets", face, faceMarkerTop);CHKERRQ(ierr);
632                 ierr = DMSetLabelValue(dm, "marker", face, markerTop);CHKERRQ(ierr);
633               }
634               else if (fz == 0) {
635                 ierr = DMSetLabelValue(dm, "Face Sets", face, faceMarkerBottom);CHKERRQ(ierr);
636                 ierr = DMSetLabelValue(dm, "marker", face, markerBottom);CHKERRQ(ierr);
637               }
638             }
639           }
640           cone[0] = edgeB; cone[1] = edgeR; cone[2] = edgeT; cone[3] = edgeL;
641           ierr    = DMPlexSetCone(dm, face, cone);CHKERRQ(ierr);
642           ierr    = DMPlexSetConeOrientation(dm, face, ornt);CHKERRQ(ierr);
643         }
644       }
645     }
646     /* Build Z edges*/
647     for (vy = 0; vy < numYVertices; vy++) {
648       for (vx = 0; vx < numXVertices; vx++) {
649         for (ez = 0; ez < numZEdges; ez++) {
650           const PetscInt edge    = firstZEdge  + (vy*numXVertices+vx)*numZEdges + ez;
651           const PetscInt vertexB = firstVertex + (  ez                 *numYVertices+vy)*numXVertices + vx;
652           const PetscInt vertexT = firstVertex + (((ez+1)%numZVertices)*numYVertices+vy)*numXVertices + vx;
653           PetscInt       cone[2];
654 
655           if (dim == 3) {
656             if (bdX != DM_BOUNDARY_PERIODIC) {
657               if (vx == numXVertices-1) {
658                 ierr = DMSetLabelValue(dm, "marker", edge, markerRight);CHKERRQ(ierr);
659               }
660               else if (vx == 0) {
661                 ierr = DMSetLabelValue(dm, "marker", edge, markerLeft);CHKERRQ(ierr);
662               }
663             }
664             if (bdY != DM_BOUNDARY_PERIODIC) {
665               if (vy == numYVertices-1) {
666                 ierr = DMSetLabelValue(dm, "marker", edge, markerBack);CHKERRQ(ierr);
667               }
668               else if (vy == 0) {
669                 ierr = DMSetLabelValue(dm, "marker", edge, markerFront);CHKERRQ(ierr);
670               }
671             }
672           }
673           cone[0] = vertexB; cone[1] = vertexT;
674           ierr = DMPlexSetCone(dm, edge, cone);CHKERRQ(ierr);
675         }
676       }
677     }
678     /* Build Y edges*/
679     for (vz = 0; vz < numZVertices; vz++) {
680       for (vx = 0; vx < numXVertices; vx++) {
681         for (ey = 0; ey < numYEdges; ey++) {
682           const PetscInt nextv   = (dim == 2 && bdY == DM_BOUNDARY_TWIST && ey == numYEdges-1) ? (numXVertices-vx-1) : (vz*numYVertices+((ey+1)%numYVertices))*numXVertices + vx;
683           const PetscInt edge    = firstYEdge  + (vz*numXVertices+vx)*numYEdges + ey;
684           const PetscInt vertexF = firstVertex + (vz*numYVertices+ey)*numXVertices + vx;
685           const PetscInt vertexK = firstVertex + nextv;
686           PetscInt       cone[2];
687 
688           cone[0] = vertexF; cone[1] = vertexK;
689           ierr = DMPlexSetCone(dm, edge, cone);CHKERRQ(ierr);
690           if (dim == 2) {
691             if ((bdX != DM_BOUNDARY_PERIODIC) && (bdX != DM_BOUNDARY_TWIST)) {
692               if (vx == numXVertices-1) {
693                 ierr = DMSetLabelValue(dm, "Face Sets", edge, faceMarkerRight);CHKERRQ(ierr);
694                 ierr = DMSetLabelValue(dm, "marker", edge,    markerRight);CHKERRQ(ierr);
695                 ierr = DMSetLabelValue(dm, "marker", cone[0], markerRight);CHKERRQ(ierr);
696                 if (ey == numYEdges-1) {
697                   ierr = DMSetLabelValue(dm, "marker", cone[1], markerRight);CHKERRQ(ierr);
698                 }
699               }
700               else if (vx == 0) {
701                 ierr = DMSetLabelValue(dm, "Face Sets", edge, faceMarkerLeft);CHKERRQ(ierr);
702                 ierr = DMSetLabelValue(dm, "marker", edge,    markerLeft);CHKERRQ(ierr);
703                 ierr = DMSetLabelValue(dm, "marker", cone[0], markerLeft);CHKERRQ(ierr);
704                 if (ey == numYEdges-1) {
705                   ierr = DMSetLabelValue(dm, "marker", cone[1], markerLeft);CHKERRQ(ierr);
706                 }
707               }
708             }
709           }
710           else {
711             if (bdX != DM_BOUNDARY_PERIODIC) {
712               if (vx == numXVertices-1) {
713                 ierr = DMSetLabelValue(dm, "marker", edge, markerRight);CHKERRQ(ierr);
714               }
715               else if (vx == 0) {
716                 ierr = DMSetLabelValue(dm, "marker", edge, markerLeft);CHKERRQ(ierr);
717               }
718             }
719             if (bdZ != DM_BOUNDARY_PERIODIC) {
720               if (vz == numZVertices-1) {
721                 ierr = DMSetLabelValue(dm, "marker", edge, markerTop);CHKERRQ(ierr);
722               }
723               else if (vz == 0) {
724                 ierr = DMSetLabelValue(dm, "marker", edge, markerBottom);CHKERRQ(ierr);
725               }
726             }
727           }
728         }
729       }
730     }
731     /* Build X edges*/
732     for (vz = 0; vz < numZVertices; vz++) {
733       for (vy = 0; vy < numYVertices; vy++) {
734         for (ex = 0; ex < numXEdges; ex++) {
735           const PetscInt nextv   = (dim == 2 && bdX == DM_BOUNDARY_TWIST && ex == numXEdges-1) ? (numYVertices-vy-1)*numXVertices : (vz*numYVertices+vy)*numXVertices + (ex+1)%numXVertices;
736           const PetscInt edge    = firstXEdge  + (vz*numYVertices+vy)*numXEdges + ex;
737           const PetscInt vertexL = firstVertex + (vz*numYVertices+vy)*numXVertices + ex;
738           const PetscInt vertexR = firstVertex + nextv;
739           PetscInt       cone[2];
740 
741           cone[0] = vertexL; cone[1] = vertexR;
742           ierr = DMPlexSetCone(dm, edge, cone);CHKERRQ(ierr);
743           if (dim == 2) {
744             if ((bdY != DM_BOUNDARY_PERIODIC) && (bdY != DM_BOUNDARY_TWIST)) {
745               if (vy == numYVertices-1) {
746                 ierr = DMSetLabelValue(dm, "Face Sets", edge, faceMarkerTop);CHKERRQ(ierr);
747                 ierr = DMSetLabelValue(dm, "marker", edge,    markerTop);CHKERRQ(ierr);
748                 ierr = DMSetLabelValue(dm, "marker", cone[0], markerTop);CHKERRQ(ierr);
749                 if (ex == numXEdges-1) {
750                   ierr = DMSetLabelValue(dm, "marker", cone[1], markerTop);CHKERRQ(ierr);
751                 }
752               }
753               else if (vy == 0) {
754                 ierr = DMSetLabelValue(dm, "Face Sets", edge, faceMarkerBottom);CHKERRQ(ierr);
755                 ierr = DMSetLabelValue(dm, "marker", edge,    markerBottom);CHKERRQ(ierr);
756                 ierr = DMSetLabelValue(dm, "marker", cone[0], markerBottom);CHKERRQ(ierr);
757                 if (ex == numXEdges-1) {
758                   ierr = DMSetLabelValue(dm, "marker", cone[1], markerBottom);CHKERRQ(ierr);
759                 }
760               }
761             }
762           }
763           else {
764             if (bdY != DM_BOUNDARY_PERIODIC) {
765               if (vy == numYVertices-1) {
766                 ierr = DMSetLabelValue(dm, "marker", edge, markerBack);CHKERRQ(ierr);
767               }
768               else if (vy == 0) {
769                 ierr = DMSetLabelValue(dm, "marker", edge, markerFront);CHKERRQ(ierr);
770               }
771             }
772             if (bdZ != DM_BOUNDARY_PERIODIC) {
773               if (vz == numZVertices-1) {
774                 ierr = DMSetLabelValue(dm, "marker", edge, markerTop);CHKERRQ(ierr);
775               }
776               else if (vz == 0) {
777                 ierr = DMSetLabelValue(dm, "marker", edge, markerBottom);CHKERRQ(ierr);
778               }
779             }
780           }
781         }
782       }
783     }
784     ierr = DMPlexSymmetrize(dm);CHKERRQ(ierr);
785     ierr = DMPlexStratify(dm);CHKERRQ(ierr);
786     /* Build coordinates */
787     ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
788     ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr);
789     ierr = PetscSectionSetFieldComponents(coordSection, 0, dim);CHKERRQ(ierr);
790     ierr = PetscSectionSetChart(coordSection, firstVertex, firstVertex+numVertices);CHKERRQ(ierr);
791     for (v = firstVertex; v < firstVertex+numVertices; ++v) {
792       ierr = PetscSectionSetDof(coordSection, v, dim);CHKERRQ(ierr);
793       ierr = PetscSectionSetFieldDof(coordSection, v, 0, dim);CHKERRQ(ierr);
794     }
795     ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr);
796     ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr);
797     ierr = VecCreate(PETSC_COMM_SELF, &coordinates);CHKERRQ(ierr);
798     ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr);
799     ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr);
800     ierr = VecSetBlockSize(coordinates, dim);CHKERRQ(ierr);
801     ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr);
802     ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
803     for (vz = 0; vz < numZVertices; ++vz) {
804       for (vy = 0; vy < numYVertices; ++vy) {
805         for (vx = 0; vx < numXVertices; ++vx) {
806           coords[((vz*numYVertices+vy)*numXVertices+vx)*dim+0] = lower[0] + ((upper[0] - lower[0])/numXEdges)*vx;
807           coords[((vz*numYVertices+vy)*numXVertices+vx)*dim+1] = lower[1] + ((upper[1] - lower[1])/numYEdges)*vy;
808           if (dim == 3) {
809             coords[((vz*numYVertices+vy)*numXVertices+vx)*dim+2] = lower[2] + ((upper[2] - lower[2])/numZEdges)*vz;
810           }
811         }
812       }
813     }
814     ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
815     ierr = DMSetCoordinatesLocal(dm, coordinates);CHKERRQ(ierr);
816     ierr = VecDestroy(&coordinates);CHKERRQ(ierr);
817   }
818   PetscFunctionReturn(0);
819 }
820 
821 /*@
822   DMPlexCreateSquareMesh - Creates a 2D mesh for a square lattice.
823 
824   Collective on MPI_Comm
825 
826   Input Parameters:
827 + comm  - The communicator for the DM object
828 . lower - The lower left corner coordinates
829 . upper - The upper right corner coordinates
830 . edges - The number of cells in each direction
831 . bdX   - The boundary type for the X direction
832 - bdY   - The boundary type for the Y direction
833 
834   Output Parameter:
835 . dm  - The DM object
836 
837   Note: Here is the numbering returned for 2 cells in each direction:
838 $ 22--8-23--9--24
839 $  |     |     |
840 $ 13  2 14  3  15
841 $  |     |     |
842 $ 19--6-20--7--21
843 $  |     |     |
844 $ 10  0 11  1 12
845 $  |     |     |
846 $ 16--4-17--5--18
847 
848   Level: beginner
849 
850 .keywords: DM, create
851 .seealso: DMPlexCreateBoxMesh(), DMPlexCreateSquareBoundary(), DMPlexCreateCubeBoundary(), DMSetType(), DMCreate()
852 @*/
853 PetscErrorCode DMPlexCreateSquareMesh(DM dm, const PetscReal lower[], const PetscReal upper[], const PetscInt edges[], DMBoundaryType bdX, DMBoundaryType bdY)
854 {
855   PetscReal      lower3[3], upper3[3];
856   PetscInt       edges3[3];
857   PetscErrorCode ierr;
858 
859   PetscFunctionBegin;
860   lower3[0] = lower[0]; lower3[1] = lower[1]; lower3[2] = 0.;
861   upper3[0] = upper[0]; upper3[1] = upper[1]; upper3[2] = 0.;
862   edges3[0] = edges[0]; edges3[1] = edges[1]; edges3[2] = 0;
863   ierr = DMPlexCreateCubeMesh_Internal(dm, lower3, upper3, edges3, bdX, bdY, DM_BOUNDARY_NONE);CHKERRQ(ierr);
864   PetscFunctionReturn(0);
865 }
866 
867 /*@
868   DMPlexCreateBoxMesh - Creates a mesh on the tensor product of unit intervals (box) using simplices.
869 
870   Collective on MPI_Comm
871 
872   Input Parameters:
873 + comm - The communicator for the DM object
874 . dim - The spatial dimension
875 . numFaces - Number of faces per dimension
876 - interpolate - Flag to create intermediate mesh pieces (edges, faces)
877 
878   Output Parameter:
879 . dm  - The DM object
880 
881   Level: beginner
882 
883 .keywords: DM, create
884 .seealso: DMPlexCreateHexBoxMesh(), DMSetType(), DMCreate()
885 @*/
886 PetscErrorCode DMPlexCreateBoxMesh(MPI_Comm comm, PetscInt dim, PetscInt numFaces, PetscBool interpolate, DM *dm)
887 {
888   DM             boundary;
889   PetscErrorCode ierr;
890 
891   PetscFunctionBegin;
892   PetscValidPointer(dm, 4);
893   ierr = DMCreate(comm, &boundary);CHKERRQ(ierr);
894   PetscValidLogicalCollectiveInt(boundary,dim,2);
895   ierr = DMSetType(boundary, DMPLEX);CHKERRQ(ierr);
896   ierr = DMSetDimension(boundary, dim-1);CHKERRQ(ierr);
897   ierr = DMSetCoordinateDim(boundary, dim);CHKERRQ(ierr);
898   switch (dim) {
899   case 2:
900   {
901     PetscReal lower[2] = {0.0, 0.0};
902     PetscReal upper[2] = {1.0, 1.0};
903     PetscInt  edges[2];
904 
905     edges[0] = numFaces; edges[1] = numFaces;
906     ierr = DMPlexCreateSquareBoundary(boundary, lower, upper, edges);CHKERRQ(ierr);
907     break;
908   }
909   case 3:
910   {
911     PetscReal lower[3] = {0.0, 0.0, 0.0};
912     PetscReal upper[3] = {1.0, 1.0, 1.0};
913     PetscInt  faces[3];
914 
915     faces[0] = numFaces; faces[1] = numFaces; faces[2] = numFaces;
916     ierr = DMPlexCreateCubeBoundary(boundary, lower, upper, faces);CHKERRQ(ierr);
917     break;
918   }
919   default:
920     SETERRQ1(comm, PETSC_ERR_SUP, "Dimension not supported: %d", dim);
921   }
922   ierr = DMPlexGenerate(boundary, NULL, interpolate, dm);CHKERRQ(ierr);
923   ierr = DMDestroy(&boundary);CHKERRQ(ierr);
924   PetscFunctionReturn(0);
925 }
926 
927 /*@
928   DMPlexCreateHexBoxMesh - Creates a mesh on the tensor product of unit intervals (box) using hexahedra.
929 
930   Collective on MPI_Comm
931 
932   Input Parameters:
933 + comm  - The communicator for the DM object
934 . dim   - The spatial dimension
935 . periodicX - The boundary type for the X direction
936 . periodicY - The boundary type for the Y direction
937 . periodicZ - The boundary type for the Z direction
938 - cells - The number of cells in each direction
939 
940   Output Parameter:
941 . dm  - The DM object
942 
943   Level: beginner
944 
945 .keywords: DM, create
946 .seealso: DMPlexCreateBoxMesh(), DMSetType(), DMCreate()
947 @*/
948 PetscErrorCode DMPlexCreateHexBoxMesh(MPI_Comm comm, PetscInt dim, const PetscInt cells[], DMBoundaryType periodicX, DMBoundaryType periodicY, DMBoundaryType periodicZ, DM *dm)
949 {
950   PetscInt       i;
951   PetscErrorCode ierr;
952 
953   PetscFunctionBegin;
954   PetscValidPointer(dm, 7);
955   ierr = DMCreate(comm, dm);CHKERRQ(ierr);
956   PetscValidLogicalCollectiveInt(*dm,dim,2);
957   ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr);
958   ierr = DMSetDimension(*dm, dim);CHKERRQ(ierr);
959   switch (dim) {
960   case 2:
961   {
962     PetscReal lower[2] = {0.0, 0.0};
963     PetscReal upper[2] = {1.0, 1.0};
964 
965     ierr = DMPlexCreateSquareMesh(*dm, lower, upper, cells, periodicX, periodicY);CHKERRQ(ierr);
966     if (periodicX == DM_BOUNDARY_PERIODIC || periodicX == DM_BOUNDARY_TWIST ||
967         periodicY == DM_BOUNDARY_PERIODIC || periodicY == DM_BOUNDARY_TWIST) {
968       PetscReal      L[2];
969       PetscReal      maxCell[2];
970       DMBoundaryType bdType[2];
971 
972       bdType[0] = periodicX;
973       bdType[1] = periodicY;
974       for (i = 0; i < dim; i++) {
975         L[i]       = upper[i] - lower[i];
976         maxCell[i] = 1.1 * (L[i] / cells[i]);
977       }
978 
979       ierr = DMSetPeriodicity(*dm,maxCell,L,bdType);CHKERRQ(ierr);
980     }
981     break;
982   }
983   case 3:
984   {
985     PetscReal lower[3] = {0.0, 0.0, 0.0};
986     PetscReal upper[3] = {1.0, 1.0, 1.0};
987 
988     ierr = DMPlexCreateCubeMesh_Internal(*dm, lower, upper, cells, periodicX, periodicY, periodicZ);CHKERRQ(ierr);
989     if (periodicX == DM_BOUNDARY_PERIODIC || periodicX == DM_BOUNDARY_TWIST ||
990         periodicY == DM_BOUNDARY_PERIODIC || periodicY == DM_BOUNDARY_TWIST ||
991         periodicZ == DM_BOUNDARY_PERIODIC || periodicZ == DM_BOUNDARY_TWIST) {
992       PetscReal      L[3];
993       PetscReal      maxCell[3];
994       DMBoundaryType bdType[3];
995 
996       bdType[0] = periodicX;
997       bdType[1] = periodicY;
998       bdType[2] = periodicZ;
999       for (i = 0; i < dim; i++) {
1000         L[i]       = upper[i] - lower[i];
1001         maxCell[i] = 1.1 * (L[i] / cells[i]);
1002       }
1003 
1004       ierr = DMSetPeriodicity(*dm,maxCell,L,bdType);CHKERRQ(ierr);
1005     }
1006     break;
1007   }
1008   default:
1009     SETERRQ1(comm, PETSC_ERR_SUP, "Dimension not supported: %d", dim);
1010   }
1011   PetscFunctionReturn(0);
1012 }
1013 
1014 /* External function declarations here */
1015 extern PetscErrorCode DMCreateInterpolation_Plex(DM dmCoarse, DM dmFine, Mat *interpolation, Vec *scaling);
1016 extern PetscErrorCode DMCreateInjection_Plex(DM dmCoarse, DM dmFine, Mat *mat);
1017 extern PetscErrorCode DMCreateDefaultSection_Plex(DM dm);
1018 extern PetscErrorCode DMCreateDefaultConstraints_Plex(DM dm);
1019 extern PetscErrorCode DMCreateMatrix_Plex(DM dm,  Mat *J);
1020 extern PetscErrorCode DMCreateCoordinateDM_Plex(DM dm, DM *cdm);
1021 extern PetscErrorCode DMClone_Plex(DM dm, DM *newdm);
1022 extern PetscErrorCode DMSetUp_Plex(DM dm);
1023 extern PetscErrorCode DMDestroy_Plex(DM dm);
1024 extern PetscErrorCode DMView_Plex(DM dm, PetscViewer viewer);
1025 extern PetscErrorCode DMLoad_Plex(DM dm, PetscViewer viewer);
1026 extern PetscErrorCode DMCreateSubDM_Plex(DM dm, PetscInt numFields, PetscInt fields[], IS *is, DM *subdm);
1027 extern PetscErrorCode DMLocatePoints_Plex(DM dm, Vec v, DMPointLocationType ltype, PetscSF cellSF);
1028 extern PetscErrorCode DMProjectFunctionLocal_Plex(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void **,InsertMode,Vec);
1029 extern PetscErrorCode DMProjectFunctionLabelLocal_Plex(DM,PetscReal,DMLabel,PetscInt,const PetscInt[],PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void **,InsertMode,Vec);
1030 extern PetscErrorCode DMProjectFieldLocal_Plex(DM,PetscReal,Vec,void (**)(PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],const PetscScalar[],const PetscScalar[],const PetscInt[],const PetscInt[],const PetscScalar[],const PetscScalar[],const PetscScalar[],PetscReal,const PetscReal[],PetscScalar[]),InsertMode,Vec);
1031 extern PetscErrorCode DMProjectFieldLabelLocal_Plex(DM,PetscReal,DMLabel,PetscInt,const PetscInt[],Vec,void (**)(PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],const PetscScalar[],const PetscScalar[],const PetscInt[],const PetscInt[],const PetscScalar[],const PetscScalar[],const PetscScalar[],PetscReal,const PetscReal[],PetscScalar[]),InsertMode,Vec);
1032 extern PetscErrorCode DMComputeL2Diff_Plex(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void **,Vec,PetscReal *);
1033 extern PetscErrorCode DMComputeL2GradientDiff_Plex(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[], const PetscReal[],PetscInt,PetscScalar *,void *),void **,Vec,const PetscReal [],PetscReal *);
1034 extern PetscErrorCode DMComputeL2FieldDiff_Plex(DM,PetscReal,PetscErrorCode(**)(PetscInt,PetscReal,const PetscReal[],PetscInt,PetscScalar *,void *),void **,Vec,PetscReal *);
1035 
1036 /* Replace dm with the contents of dmNew
1037    - Share the DM_Plex structure
1038    - Share the coordinates
1039    - Share the SF
1040 */
1041 static PetscErrorCode DMPlexReplace_Static(DM dm, DM dmNew)
1042 {
1043   PetscSF          sf;
1044   DM               coordDM, coarseDM;
1045   Vec              coords;
1046   const PetscReal *maxCell, *L;
1047   const DMBoundaryType *bd;
1048   PetscErrorCode   ierr;
1049 
1050   PetscFunctionBegin;
1051   ierr = DMGetPointSF(dmNew, &sf);CHKERRQ(ierr);
1052   ierr = DMSetPointSF(dm, sf);CHKERRQ(ierr);
1053   ierr = DMGetCoordinateDM(dmNew, &coordDM);CHKERRQ(ierr);
1054   ierr = DMGetCoordinatesLocal(dmNew, &coords);CHKERRQ(ierr);
1055   ierr = DMSetCoordinateDM(dm, coordDM);CHKERRQ(ierr);
1056   ierr = DMSetCoordinatesLocal(dm, coords);CHKERRQ(ierr);
1057   ierr = DMGetPeriodicity(dm, &maxCell, &L, &bd);CHKERRQ(ierr);
1058   if (L) {ierr = DMSetPeriodicity(dmNew, maxCell, L, bd);CHKERRQ(ierr);}
1059   ierr = DMDestroy_Plex(dm);CHKERRQ(ierr);
1060   dm->data = dmNew->data;
1061   ((DM_Plex *) dmNew->data)->refct++;
1062   dmNew->labels->refct++;
1063   if (!--(dm->labels->refct)) {
1064     DMLabelLink next = dm->labels->next;
1065 
1066     /* destroy the labels */
1067     while (next) {
1068       DMLabelLink tmp = next->next;
1069 
1070       ierr = DMLabelDestroy(&next->label);CHKERRQ(ierr);
1071       ierr = PetscFree(next);CHKERRQ(ierr);
1072       next = tmp;
1073     }
1074     ierr = PetscFree(dm->labels);CHKERRQ(ierr);
1075   }
1076   dm->labels = dmNew->labels;
1077   dm->depthLabel = dmNew->depthLabel;
1078   ierr = DMGetCoarseDM(dmNew,&coarseDM);CHKERRQ(ierr);
1079   ierr = DMSetCoarseDM(dm,coarseDM);CHKERRQ(ierr);
1080   PetscFunctionReturn(0);
1081 }
1082 
1083 /* Swap dm with the contents of dmNew
1084    - Swap the DM_Plex structure
1085    - Swap the coordinates
1086    - Swap the point PetscSF
1087 */
1088 static PetscErrorCode DMPlexSwap_Static(DM dmA, DM dmB)
1089 {
1090   DM              coordDMA, coordDMB;
1091   Vec             coordsA,  coordsB;
1092   PetscSF         sfA,      sfB;
1093   void            *tmp;
1094   DMLabelLinkList listTmp;
1095   DMLabel         depthTmp;
1096   PetscErrorCode  ierr;
1097 
1098   PetscFunctionBegin;
1099   ierr = DMGetPointSF(dmA, &sfA);CHKERRQ(ierr);
1100   ierr = DMGetPointSF(dmB, &sfB);CHKERRQ(ierr);
1101   ierr = PetscObjectReference((PetscObject) sfA);CHKERRQ(ierr);
1102   ierr = DMSetPointSF(dmA, sfB);CHKERRQ(ierr);
1103   ierr = DMSetPointSF(dmB, sfA);CHKERRQ(ierr);
1104   ierr = PetscObjectDereference((PetscObject) sfA);CHKERRQ(ierr);
1105 
1106   ierr = DMGetCoordinateDM(dmA, &coordDMA);CHKERRQ(ierr);
1107   ierr = DMGetCoordinateDM(dmB, &coordDMB);CHKERRQ(ierr);
1108   ierr = PetscObjectReference((PetscObject) coordDMA);CHKERRQ(ierr);
1109   ierr = DMSetCoordinateDM(dmA, coordDMB);CHKERRQ(ierr);
1110   ierr = DMSetCoordinateDM(dmB, coordDMA);CHKERRQ(ierr);
1111   ierr = PetscObjectDereference((PetscObject) coordDMA);CHKERRQ(ierr);
1112 
1113   ierr = DMGetCoordinatesLocal(dmA, &coordsA);CHKERRQ(ierr);
1114   ierr = DMGetCoordinatesLocal(dmB, &coordsB);CHKERRQ(ierr);
1115   ierr = PetscObjectReference((PetscObject) coordsA);CHKERRQ(ierr);
1116   ierr = DMSetCoordinatesLocal(dmA, coordsB);CHKERRQ(ierr);
1117   ierr = DMSetCoordinatesLocal(dmB, coordsA);CHKERRQ(ierr);
1118   ierr = PetscObjectDereference((PetscObject) coordsA);CHKERRQ(ierr);
1119 
1120   tmp       = dmA->data;
1121   dmA->data = dmB->data;
1122   dmB->data = tmp;
1123   listTmp   = dmA->labels;
1124   dmA->labels = dmB->labels;
1125   dmB->labels = listTmp;
1126   depthTmp  = dmA->depthLabel;
1127   dmA->depthLabel = dmB->depthLabel;
1128   dmB->depthLabel = depthTmp;
1129   PetscFunctionReturn(0);
1130 }
1131 
1132 PetscErrorCode  DMSetFromOptions_NonRefinement_Plex(PetscOptionItems *PetscOptionsObject,DM dm)
1133 {
1134   DM_Plex       *mesh = (DM_Plex*) dm->data;
1135   PetscErrorCode ierr;
1136 
1137   PetscFunctionBegin;
1138   /* Handle viewing */
1139   ierr = PetscOptionsBool("-dm_plex_print_set_values", "Output all set values info", "DMView", PETSC_FALSE, &mesh->printSetValues, NULL);CHKERRQ(ierr);
1140   ierr = PetscOptionsInt("-dm_plex_print_fem", "Debug output level all fem computations", "DMView", 0, &mesh->printFEM, NULL);CHKERRQ(ierr);
1141   ierr = PetscOptionsReal("-dm_plex_print_tol", "Tolerance for FEM output", "DMView", mesh->printTol, &mesh->printTol, NULL);CHKERRQ(ierr);
1142   /* Point Location */
1143   ierr = PetscOptionsBool("-dm_plex_hash_location", "Use grid hashing for point location", "DMView", PETSC_FALSE, &mesh->useHashLocation, NULL);CHKERRQ(ierr);
1144   /* Generation and remeshing */
1145   ierr = PetscOptionsBool("-dm_plex_remesh_bd", "Allow changes to the boundary on remeshing", "DMView", PETSC_FALSE, &mesh->remeshBd, NULL);CHKERRQ(ierr);
1146   /* Projection behavior */
1147   ierr = PetscOptionsInt("-dm_plex_max_projection_height", "Maxmimum mesh point height used to project locally", "DMPlexSetMaxProjectionHeight", 0, &mesh->maxProjectionHeight, NULL);CHKERRQ(ierr);
1148   ierr = PetscOptionsBool("-dm_plex_regular_refinement", "Use special nested projection algorithm for regular refinement", "DMPlexSetRegularRefinement", mesh->regularRefinement, &mesh->regularRefinement, NULL);CHKERRQ(ierr);
1149   PetscFunctionReturn(0);
1150 }
1151 
1152 PetscErrorCode  DMSetFromOptions_Plex(PetscOptionItems *PetscOptionsObject,DM dm)
1153 {
1154   PetscInt       refine = 0, coarsen = 0, r;
1155   PetscBool      isHierarchy;
1156   PetscErrorCode ierr;
1157 
1158   PetscFunctionBegin;
1159   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1160   ierr = PetscOptionsHead(PetscOptionsObject,"DMPlex Options");CHKERRQ(ierr);
1161   /* Handle DMPlex refinement */
1162   ierr = PetscOptionsInt("-dm_refine", "The number of uniform refinements", "DMCreate", refine, &refine, NULL);CHKERRQ(ierr);
1163   ierr = PetscOptionsInt("-dm_refine_hierarchy", "The number of uniform refinements", "DMCreate", refine, &refine, &isHierarchy);CHKERRQ(ierr);
1164   if (refine) {ierr = DMPlexSetRefinementUniform(dm, PETSC_TRUE);CHKERRQ(ierr);}
1165   if (refine && isHierarchy) {
1166     DM *dms, coarseDM;
1167 
1168     ierr = DMGetCoarseDM(dm, &coarseDM);CHKERRQ(ierr);
1169     ierr = PetscObjectReference((PetscObject)coarseDM);CHKERRQ(ierr);
1170     ierr = PetscMalloc1(refine,&dms);CHKERRQ(ierr);
1171     ierr = DMRefineHierarchy(dm, refine, dms);CHKERRQ(ierr);
1172     /* Total hack since we do not pass in a pointer */
1173     ierr = DMPlexSwap_Static(dm, dms[refine-1]);CHKERRQ(ierr);
1174     if (refine == 1) {
1175       ierr = DMSetCoarseDM(dm, dms[0]);CHKERRQ(ierr);
1176       ierr = DMPlexSetRegularRefinement(dm, PETSC_TRUE);CHKERRQ(ierr);
1177     } else {
1178       ierr = DMSetCoarseDM(dm, dms[refine-2]);CHKERRQ(ierr);
1179       ierr = DMPlexSetRegularRefinement(dm, PETSC_TRUE);CHKERRQ(ierr);
1180       ierr = DMSetCoarseDM(dms[0], dms[refine-1]);CHKERRQ(ierr);
1181       ierr = DMPlexSetRegularRefinement(dms[0], PETSC_TRUE);CHKERRQ(ierr);
1182     }
1183     ierr = DMSetCoarseDM(dms[refine-1], coarseDM);CHKERRQ(ierr);
1184     ierr = PetscObjectDereference((PetscObject)coarseDM);CHKERRQ(ierr);
1185     /* Free DMs */
1186     for (r = 0; r < refine; ++r) {
1187       ierr = DMSetFromOptions_NonRefinement_Plex(PetscOptionsObject, dms[r]);CHKERRQ(ierr);
1188       ierr = DMDestroy(&dms[r]);CHKERRQ(ierr);
1189     }
1190     ierr = PetscFree(dms);CHKERRQ(ierr);
1191   } else {
1192     for (r = 0; r < refine; ++r) {
1193       DM refinedMesh;
1194 
1195       ierr = DMSetFromOptions_NonRefinement_Plex(PetscOptionsObject, dm);CHKERRQ(ierr);
1196       ierr = DMRefine(dm, PetscObjectComm((PetscObject) dm), &refinedMesh);CHKERRQ(ierr);
1197       /* Total hack since we do not pass in a pointer */
1198       ierr = DMPlexReplace_Static(dm, refinedMesh);CHKERRQ(ierr);
1199       ierr = DMSetFromOptions_NonRefinement_Plex(PetscOptionsObject, dm);CHKERRQ(ierr);
1200       ierr = DMDestroy(&refinedMesh);CHKERRQ(ierr);
1201     }
1202   }
1203   /* Handle DMPlex coarsening */
1204   ierr = PetscOptionsInt("-dm_coarsen", "Coarsen the mesh", "DMCreate", coarsen, &coarsen, NULL);CHKERRQ(ierr);
1205   ierr = PetscOptionsInt("-dm_coarsen_hierarchy", "The number of coarsenings", "DMCreate", coarsen, &coarsen, &isHierarchy);CHKERRQ(ierr);
1206   if (coarsen && isHierarchy) {
1207     DM *dms;
1208 
1209     ierr = PetscMalloc1(coarsen, &dms);CHKERRQ(ierr);
1210     ierr = DMCoarsenHierarchy(dm, coarsen, dms);CHKERRQ(ierr);
1211     /* Free DMs */
1212     for (r = 0; r < coarsen; ++r) {
1213       ierr = DMSetFromOptions_NonRefinement_Plex(PetscOptionsObject, dms[r]);CHKERRQ(ierr);
1214       ierr = DMDestroy(&dms[r]);CHKERRQ(ierr);
1215     }
1216     ierr = PetscFree(dms);CHKERRQ(ierr);
1217   } else {
1218     for (r = 0; r < coarsen; ++r) {
1219       DM coarseMesh;
1220 
1221       ierr = DMSetFromOptions_NonRefinement_Plex(PetscOptionsObject, dm);CHKERRQ(ierr);
1222       ierr = DMCoarsen(dm, PetscObjectComm((PetscObject) dm), &coarseMesh);CHKERRQ(ierr);
1223       /* Total hack since we do not pass in a pointer */
1224       ierr = DMPlexReplace_Static(dm, coarseMesh);CHKERRQ(ierr);
1225       ierr = DMSetFromOptions_NonRefinement_Plex(PetscOptionsObject, dm);CHKERRQ(ierr);
1226       ierr = DMDestroy(&coarseMesh);CHKERRQ(ierr);
1227     }
1228   }
1229   /* Handle */
1230   ierr = DMSetFromOptions_NonRefinement_Plex(PetscOptionsObject, dm);CHKERRQ(ierr);
1231   ierr = PetscOptionsTail();CHKERRQ(ierr);
1232   PetscFunctionReturn(0);
1233 }
1234 
1235 static PetscErrorCode DMCreateGlobalVector_Plex(DM dm,Vec *vec)
1236 {
1237   PetscErrorCode ierr;
1238 
1239   PetscFunctionBegin;
1240   ierr = DMCreateGlobalVector_Section_Private(dm,vec);CHKERRQ(ierr);
1241   /* ierr = VecSetOperation(*vec, VECOP_DUPLICATE, (void(*)(void)) VecDuplicate_MPI_DM);CHKERRQ(ierr); */
1242   ierr = VecSetOperation(*vec, VECOP_VIEW, (void (*)(void)) VecView_Plex);CHKERRQ(ierr);
1243   ierr = VecSetOperation(*vec, VECOP_VIEWNATIVE, (void (*)(void)) VecView_Plex_Native);CHKERRQ(ierr);
1244   ierr = VecSetOperation(*vec, VECOP_LOAD, (void (*)(void)) VecLoad_Plex);CHKERRQ(ierr);
1245   ierr = VecSetOperation(*vec, VECOP_LOADNATIVE, (void (*)(void)) VecLoad_Plex_Native);CHKERRQ(ierr);
1246   PetscFunctionReturn(0);
1247 }
1248 
1249 static PetscErrorCode DMCreateLocalVector_Plex(DM dm,Vec *vec)
1250 {
1251   PetscErrorCode ierr;
1252 
1253   PetscFunctionBegin;
1254   ierr = DMCreateLocalVector_Section_Private(dm,vec);CHKERRQ(ierr);
1255   ierr = VecSetOperation(*vec, VECOP_VIEW, (void (*)(void)) VecView_Plex_Local);CHKERRQ(ierr);
1256   ierr = VecSetOperation(*vec, VECOP_LOAD, (void (*)(void)) VecLoad_Plex_Local);CHKERRQ(ierr);
1257   PetscFunctionReturn(0);
1258 }
1259 
1260 static PetscErrorCode DMGetDimPoints_Plex(DM dm, PetscInt dim, PetscInt *pStart, PetscInt *pEnd)
1261 {
1262   PetscInt       depth, d;
1263   PetscErrorCode ierr;
1264 
1265   PetscFunctionBegin;
1266   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
1267   if (depth == 1) {
1268     ierr = DMGetDimension(dm, &d);CHKERRQ(ierr);
1269     if (dim == 0)      {ierr = DMPlexGetDepthStratum(dm, dim, pStart, pEnd);CHKERRQ(ierr);}
1270     else if (dim == d) {ierr = DMPlexGetDepthStratum(dm, 1, pStart, pEnd);CHKERRQ(ierr);}
1271     else               {*pStart = 0; *pEnd = 0;}
1272   } else {
1273     ierr = DMPlexGetDepthStratum(dm, dim, pStart, pEnd);CHKERRQ(ierr);
1274   }
1275   PetscFunctionReturn(0);
1276 }
1277 
1278 static PetscErrorCode DMGetNeighors_Plex(DM dm, PetscInt *nranks, const PetscMPIInt *ranks[])
1279 {
1280   PetscSF        sf;
1281   PetscErrorCode ierr;
1282 
1283   PetscFunctionBegin;
1284   ierr = DMGetPointSF(dm, &sf);CHKERRQ(ierr);
1285   ierr = PetscSFGetRanks(sf, nranks, ranks, NULL, NULL, NULL);CHKERRQ(ierr);
1286   PetscFunctionReturn(0);
1287 }
1288 
1289 PetscErrorCode DMInitialize_Plex(DM dm)
1290 {
1291   PetscErrorCode ierr;
1292 
1293   PetscFunctionBegin;
1294   dm->ops->view                            = DMView_Plex;
1295   dm->ops->load                            = DMLoad_Plex;
1296   dm->ops->setfromoptions                  = DMSetFromOptions_Plex;
1297   dm->ops->clone                           = DMClone_Plex;
1298   dm->ops->setup                           = DMSetUp_Plex;
1299   dm->ops->createdefaultsection            = DMCreateDefaultSection_Plex;
1300   dm->ops->createdefaultconstraints        = DMCreateDefaultConstraints_Plex;
1301   dm->ops->createglobalvector              = DMCreateGlobalVector_Plex;
1302   dm->ops->createlocalvector               = DMCreateLocalVector_Plex;
1303   dm->ops->getlocaltoglobalmapping         = NULL;
1304   dm->ops->createfieldis                   = NULL;
1305   dm->ops->createcoordinatedm              = DMCreateCoordinateDM_Plex;
1306   dm->ops->getcoloring                     = NULL;
1307   dm->ops->creatematrix                    = DMCreateMatrix_Plex;
1308   dm->ops->createinterpolation             = DMCreateInterpolation_Plex;
1309   dm->ops->getaggregates                   = NULL;
1310   dm->ops->getinjection                    = DMCreateInjection_Plex;
1311   dm->ops->refine                          = DMRefine_Plex;
1312   dm->ops->coarsen                         = DMCoarsen_Plex;
1313   dm->ops->refinehierarchy                 = DMRefineHierarchy_Plex;
1314   dm->ops->coarsenhierarchy                = DMCoarsenHierarchy_Plex;
1315   dm->ops->globaltolocalbegin              = NULL;
1316   dm->ops->globaltolocalend                = NULL;
1317   dm->ops->localtoglobalbegin              = NULL;
1318   dm->ops->localtoglobalend                = NULL;
1319   dm->ops->destroy                         = DMDestroy_Plex;
1320   dm->ops->createsubdm                     = DMCreateSubDM_Plex;
1321   dm->ops->getdimpoints                    = DMGetDimPoints_Plex;
1322   dm->ops->locatepoints                    = DMLocatePoints_Plex;
1323   dm->ops->projectfunctionlocal            = DMProjectFunctionLocal_Plex;
1324   dm->ops->projectfunctionlabellocal       = DMProjectFunctionLabelLocal_Plex;
1325   dm->ops->projectfieldlocal               = DMProjectFieldLocal_Plex;
1326   dm->ops->projectfieldlabellocal          = DMProjectFieldLabelLocal_Plex;
1327   dm->ops->computel2diff                   = DMComputeL2Diff_Plex;
1328   dm->ops->computel2gradientdiff           = DMComputeL2GradientDiff_Plex;
1329   dm->ops->computel2fielddiff              = DMComputeL2FieldDiff_Plex;
1330   dm->ops->getneighbors                    = DMGetNeighors_Plex;
1331   ierr = PetscObjectComposeFunction((PetscObject)dm,"DMAdaptLabel_C",DMAdaptLabel_Plex);CHKERRQ(ierr);
1332   PetscFunctionReturn(0);
1333 }
1334 
1335 PetscErrorCode DMClone_Plex(DM dm, DM *newdm)
1336 {
1337   DM_Plex        *mesh = (DM_Plex *) dm->data;
1338   PetscErrorCode ierr;
1339 
1340   PetscFunctionBegin;
1341   mesh->refct++;
1342   (*newdm)->data = mesh;
1343   ierr = PetscObjectChangeTypeName((PetscObject) *newdm, DMPLEX);CHKERRQ(ierr);
1344   ierr = DMInitialize_Plex(*newdm);CHKERRQ(ierr);
1345   PetscFunctionReturn(0);
1346 }
1347 
1348 /*MC
1349   DMPLEX = "plex" - A DM object that encapsulates an unstructured mesh, or CW Complex, which can be expressed using a Hasse Diagram.
1350                     In the local representation, Vecs contain all unknowns in the interior and shared boundary. This is
1351                     specified by a PetscSection object. Ownership in the global representation is determined by
1352                     ownership of the underlying DMPlex points. This is specified by another PetscSection object.
1353 
1354   Level: intermediate
1355 
1356 .seealso: DMType, DMPlexCreate(), DMCreate(), DMSetType()
1357 M*/
1358 
1359 PETSC_EXTERN PetscErrorCode DMCreate_Plex(DM dm)
1360 {
1361   DM_Plex        *mesh;
1362   PetscInt       unit, d;
1363   PetscErrorCode ierr;
1364 
1365   PetscFunctionBegin;
1366   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1367   ierr     = PetscNewLog(dm,&mesh);CHKERRQ(ierr);
1368   dm->dim  = 0;
1369   dm->data = mesh;
1370 
1371   mesh->refct             = 1;
1372   ierr                    = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &mesh->coneSection);CHKERRQ(ierr);
1373   mesh->maxConeSize       = 0;
1374   mesh->cones             = NULL;
1375   mesh->coneOrientations  = NULL;
1376   ierr                    = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &mesh->supportSection);CHKERRQ(ierr);
1377   mesh->maxSupportSize    = 0;
1378   mesh->supports          = NULL;
1379   mesh->refinementUniform = PETSC_TRUE;
1380   mesh->refinementLimit   = -1.0;
1381 
1382   mesh->facesTmp = NULL;
1383 
1384   mesh->tetgenOpts   = NULL;
1385   mesh->triangleOpts = NULL;
1386   ierr = PetscPartitionerCreate(PetscObjectComm((PetscObject)dm), &mesh->partitioner);CHKERRQ(ierr);
1387   ierr = PetscPartitionerSetTypeFromOptions_Internal(mesh->partitioner);CHKERRQ(ierr);
1388   mesh->remeshBd     = PETSC_FALSE;
1389 
1390   mesh->subpointMap = NULL;
1391 
1392   for (unit = 0; unit < NUM_PETSC_UNITS; ++unit) mesh->scale[unit] = 1.0;
1393 
1394   mesh->regularRefinement   = PETSC_FALSE;
1395   mesh->depthState          = -1;
1396   mesh->globalVertexNumbers = NULL;
1397   mesh->globalCellNumbers   = NULL;
1398   mesh->anchorSection       = NULL;
1399   mesh->anchorIS            = NULL;
1400   mesh->createanchors       = NULL;
1401   mesh->computeanchormatrix = NULL;
1402   mesh->parentSection       = NULL;
1403   mesh->parents             = NULL;
1404   mesh->childIDs            = NULL;
1405   mesh->childSection        = NULL;
1406   mesh->children            = NULL;
1407   mesh->referenceTree       = NULL;
1408   mesh->getchildsymmetry    = NULL;
1409   for (d = 0; d < 8; ++d) mesh->hybridPointMax[d] = PETSC_DETERMINE;
1410   mesh->vtkCellHeight       = 0;
1411   mesh->useCone             = PETSC_FALSE;
1412   mesh->useClosure          = PETSC_TRUE;
1413   mesh->useAnchors          = PETSC_FALSE;
1414 
1415   mesh->maxProjectionHeight = 0;
1416 
1417   mesh->printSetValues = PETSC_FALSE;
1418   mesh->printFEM       = 0;
1419   mesh->printTol       = 1.0e-10;
1420 
1421   ierr = DMInitialize_Plex(dm);CHKERRQ(ierr);
1422   PetscFunctionReturn(0);
1423 }
1424 
1425 /*@
1426   DMPlexCreate - Creates a DMPlex object, which encapsulates an unstructured mesh, or CW complex, which can be expressed using a Hasse Diagram.
1427 
1428   Collective on MPI_Comm
1429 
1430   Input Parameter:
1431 . comm - The communicator for the DMPlex object
1432 
1433   Output Parameter:
1434 . mesh  - The DMPlex object
1435 
1436   Level: beginner
1437 
1438 .keywords: DMPlex, create
1439 @*/
1440 PetscErrorCode DMPlexCreate(MPI_Comm comm, DM *mesh)
1441 {
1442   PetscErrorCode ierr;
1443 
1444   PetscFunctionBegin;
1445   PetscValidPointer(mesh,2);
1446   ierr = DMCreate(comm, mesh);CHKERRQ(ierr);
1447   ierr = DMSetType(*mesh, DMPLEX);CHKERRQ(ierr);
1448   PetscFunctionReturn(0);
1449 }
1450 
1451 /*
1452   This takes as input the common mesh generator output, a list of the vertices for each cell, but vertex numbers are global and an SF is built for them
1453 */
1454 static PetscErrorCode DMPlexBuildFromCellList_Parallel_Private(DM dm, PetscInt numCells, PetscInt numVertices, PetscInt numCorners, const int cells[], PetscSF *sfVert)
1455 {
1456   PetscSF         sfPoint;
1457   PetscLayout     vLayout;
1458   PetscHashI      vhash;
1459   PetscSFNode    *remoteVerticesAdj, *vertexLocal, *vertexOwner, *remoteVertex;
1460   const PetscInt *vrange;
1461   PetscInt        numVerticesAdj, off, *verticesAdj, numVerticesGhost = 0, *localVertex, *cone, c, p, v, g;
1462   PETSC_UNUSED PetscHashIIter ret, iter;
1463   PetscMPIInt     rank, numProcs;
1464   PetscErrorCode  ierr;
1465 
1466   PetscFunctionBegin;
1467   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject) dm), &rank);CHKERRQ(ierr);
1468   ierr = MPI_Comm_size(PetscObjectComm((PetscObject) dm), &numProcs);CHKERRQ(ierr);
1469   /* Partition vertices */
1470   ierr = PetscLayoutCreate(PetscObjectComm((PetscObject) dm), &vLayout);CHKERRQ(ierr);
1471   ierr = PetscLayoutSetLocalSize(vLayout, numVertices);CHKERRQ(ierr);
1472   ierr = PetscLayoutSetBlockSize(vLayout, 1);CHKERRQ(ierr);
1473   ierr = PetscLayoutSetUp(vLayout);CHKERRQ(ierr);
1474   ierr = PetscLayoutGetRanges(vLayout, &vrange);CHKERRQ(ierr);
1475   /* Count vertices and map them to procs */
1476   PetscHashICreate(vhash);
1477   for (c = 0; c < numCells; ++c) {
1478     for (p = 0; p < numCorners; ++p) {
1479       PetscHashIPut(vhash, cells[c*numCorners+p], ret, iter);
1480     }
1481   }
1482   PetscHashISize(vhash, numVerticesAdj);
1483   ierr = PetscMalloc1(numVerticesAdj, &verticesAdj);CHKERRQ(ierr);
1484   off = 0; ierr = PetscHashIGetKeys(vhash, &off, verticesAdj);CHKERRQ(ierr);
1485   if (off != numVerticesAdj) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid number of local vertices %D should be %D", off, numVerticesAdj);
1486   ierr = PetscSortInt(numVerticesAdj, verticesAdj);CHKERRQ(ierr);
1487   ierr = PetscMalloc1(numVerticesAdj, &remoteVerticesAdj);CHKERRQ(ierr);
1488   for (v = 0; v < numVerticesAdj; ++v) {
1489     const PetscInt gv = verticesAdj[v];
1490     PetscInt       vrank;
1491 
1492     ierr = PetscFindInt(gv, numProcs+1, vrange, &vrank);CHKERRQ(ierr);
1493     vrank = vrank < 0 ? -(vrank+2) : vrank;
1494     remoteVerticesAdj[v].index = gv - vrange[vrank];
1495     remoteVerticesAdj[v].rank  = vrank;
1496   }
1497   /* Create cones */
1498   ierr = DMPlexSetChart(dm, 0, numCells+numVerticesAdj);CHKERRQ(ierr);
1499   for (c = 0; c < numCells; ++c) {ierr = DMPlexSetConeSize(dm, c, numCorners);CHKERRQ(ierr);}
1500   ierr = DMSetUp(dm);CHKERRQ(ierr);
1501   ierr = DMGetWorkArray(dm, numCorners, PETSC_INT, &cone);CHKERRQ(ierr);
1502   for (c = 0; c < numCells; ++c) {
1503     for (p = 0; p < numCorners; ++p) {
1504       const PetscInt gv = cells[c*numCorners+p];
1505       PetscInt       lv;
1506 
1507       ierr = PetscFindInt(gv, numVerticesAdj, verticesAdj, &lv);CHKERRQ(ierr);
1508       if (lv < 0) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Could not find global vertex %D in local connectivity", gv);
1509       cone[p] = lv+numCells;
1510     }
1511     ierr = DMPlexSetCone(dm, c, cone);CHKERRQ(ierr);
1512   }
1513   ierr = DMRestoreWorkArray(dm, numCorners, PETSC_INT, &cone);CHKERRQ(ierr);
1514   /* Create SF for vertices */
1515   ierr = PetscSFCreate(PetscObjectComm((PetscObject)dm), sfVert);CHKERRQ(ierr);
1516   ierr = PetscObjectSetName((PetscObject) *sfVert, "Vertex Ownership SF");CHKERRQ(ierr);
1517   ierr = PetscSFSetFromOptions(*sfVert);CHKERRQ(ierr);
1518   ierr = PetscSFSetGraph(*sfVert, numVertices, numVerticesAdj, NULL, PETSC_OWN_POINTER, remoteVerticesAdj, PETSC_OWN_POINTER);CHKERRQ(ierr);
1519   ierr = PetscFree(verticesAdj);CHKERRQ(ierr);
1520   /* Build pointSF */
1521   ierr = PetscMalloc2(numVerticesAdj, &vertexLocal, numVertices, &vertexOwner);CHKERRQ(ierr);
1522   for (v = 0; v < numVerticesAdj; ++v) {vertexLocal[v].index = v+numCells; vertexLocal[v].rank = rank;}
1523   for (v = 0; v < numVertices;    ++v) {vertexOwner[v].index = -1;         vertexOwner[v].rank = -1;}
1524   ierr = PetscSFReduceBegin(*sfVert, MPI_2INT, vertexLocal, vertexOwner, MPI_MAXLOC);CHKERRQ(ierr);
1525   ierr = PetscSFReduceEnd(*sfVert, MPI_2INT, vertexLocal, vertexOwner, MPI_MAXLOC);CHKERRQ(ierr);
1526   for (v = 0; v < numVertices;    ++v) if (vertexOwner[v].rank < 0) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Global vertex %d on rank %d was unclaimed", v + vrange[rank], rank);
1527   ierr = PetscSFBcastBegin(*sfVert, MPI_2INT, vertexOwner, vertexLocal);CHKERRQ(ierr);
1528   ierr = PetscSFBcastEnd(*sfVert, MPI_2INT, vertexOwner, vertexLocal);CHKERRQ(ierr);
1529   for (v = 0; v < numVerticesAdj; ++v) if (vertexLocal[v].rank != rank) ++numVerticesGhost;
1530   ierr = PetscMalloc1(numVerticesGhost, &localVertex);CHKERRQ(ierr);
1531   ierr = PetscMalloc1(numVerticesGhost, &remoteVertex);CHKERRQ(ierr);
1532   for (v = 0, g = 0; v < numVerticesAdj; ++v) {
1533     if (vertexLocal[v].rank != rank) {
1534       localVertex[g]        = v+numCells;
1535       remoteVertex[g].index = vertexLocal[v].index;
1536       remoteVertex[g].rank  = vertexLocal[v].rank;
1537       ++g;
1538     }
1539   }
1540   ierr = PetscFree2(vertexLocal, vertexOwner);CHKERRQ(ierr);
1541   if (g != numVerticesGhost) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid number of vertex ghosts %D should be %D", g, numVerticesGhost);
1542   ierr = DMGetPointSF(dm, &sfPoint);CHKERRQ(ierr);
1543   ierr = PetscObjectSetName((PetscObject) sfPoint, "point SF");CHKERRQ(ierr);
1544   ierr = PetscSFSetGraph(sfPoint, numCells+numVerticesAdj, numVerticesGhost, localVertex, PETSC_OWN_POINTER, remoteVertex, PETSC_OWN_POINTER);CHKERRQ(ierr);
1545   ierr = PetscLayoutDestroy(&vLayout);CHKERRQ(ierr);
1546   PetscHashIDestroy(vhash);
1547   /* Fill in the rest of the topology structure */
1548   ierr = DMPlexSymmetrize(dm);CHKERRQ(ierr);
1549   ierr = DMPlexStratify(dm);CHKERRQ(ierr);
1550   PetscFunctionReturn(0);
1551 }
1552 
1553 /*
1554   This takes as input the coordinates for each owned vertex
1555 */
1556 static PetscErrorCode DMPlexBuildCoordinates_Parallel_Private(DM dm, PetscInt spaceDim, PetscInt numCells, PetscSF sfVert, const double vertexCoords[])
1557 {
1558   PetscSection   coordSection;
1559   Vec            coordinates;
1560   PetscScalar   *coords;
1561   PetscInt       numVertices, numVerticesAdj, coordSize, v;
1562   PetscErrorCode ierr;
1563 
1564   PetscFunctionBegin;
1565   ierr = PetscSFGetGraph(sfVert, &numVertices, &numVerticesAdj, NULL, NULL);CHKERRQ(ierr);
1566   ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
1567   ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr);
1568   ierr = PetscSectionSetFieldComponents(coordSection, 0, spaceDim);CHKERRQ(ierr);
1569   ierr = PetscSectionSetChart(coordSection, numCells, numCells + numVerticesAdj);CHKERRQ(ierr);
1570   for (v = numCells; v < numCells+numVerticesAdj; ++v) {
1571     ierr = PetscSectionSetDof(coordSection, v, spaceDim);CHKERRQ(ierr);
1572     ierr = PetscSectionSetFieldDof(coordSection, v, 0, spaceDim);CHKERRQ(ierr);
1573   }
1574   ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr);
1575   ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr);
1576   ierr = VecCreate(PetscObjectComm((PetscObject)dm), &coordinates);CHKERRQ(ierr);
1577   ierr = VecSetBlockSize(coordinates, spaceDim);CHKERRQ(ierr);
1578   ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr);
1579   ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr);
1580   ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr);
1581   ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
1582   {
1583     MPI_Datatype coordtype;
1584 
1585     /* Need a temp buffer for coords if we have complex/single */
1586     ierr = MPI_Type_contiguous(spaceDim, MPI_DOUBLE, &coordtype);CHKERRQ(ierr);
1587     ierr = MPI_Type_commit(&coordtype);CHKERRQ(ierr);
1588     ierr = PetscSFBcastBegin(sfVert, coordtype, vertexCoords, coords);CHKERRQ(ierr);
1589     ierr = PetscSFBcastEnd(sfVert, coordtype, vertexCoords, coords);CHKERRQ(ierr);
1590     ierr = MPI_Type_free(&coordtype);CHKERRQ(ierr);
1591   }
1592   ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
1593   ierr = DMSetCoordinatesLocal(dm, coordinates);CHKERRQ(ierr);
1594   ierr = VecDestroy(&coordinates);CHKERRQ(ierr);
1595   PetscFunctionReturn(0);
1596 }
1597 
1598 /*@C
1599   DMPlexCreateFromCellListParallel - This takes as input common mesh generator output, a list of the vertices for each cell, and produces a DM
1600 
1601   Input Parameters:
1602 + comm - The communicator
1603 . dim - The topological dimension of the mesh
1604 . numCells - The number of cells owned by this process
1605 . numVertices - The number of vertices owned by this process
1606 . numCorners - The number of vertices for each cell
1607 . interpolate - Flag indicating that intermediate mesh entities (faces, edges) should be created automatically
1608 . cells - An array of numCells*numCorners numbers, the global vertex numbers for each cell
1609 . spaceDim - The spatial dimension used for coordinates
1610 - vertexCoords - An array of numVertices*spaceDim numbers, the coordinates of each vertex
1611 
1612   Output Parameter:
1613 + dm - The DM
1614 - vertexSF - Optional, SF describing complete vertex ownership
1615 
1616   Note: Two triangles sharing a face
1617 $
1618 $        2
1619 $      / | \
1620 $     /  |  \
1621 $    /   |   \
1622 $   0  0 | 1  3
1623 $    \   |   /
1624 $     \  |  /
1625 $      \ | /
1626 $        1
1627 would have input
1628 $  numCells = 2, numVertices = 4
1629 $  cells = [0 1 2  1 3 2]
1630 $
1631 which would result in the DMPlex
1632 $
1633 $        4
1634 $      / | \
1635 $     /  |  \
1636 $    /   |   \
1637 $   2  0 | 1  5
1638 $    \   |   /
1639 $     \  |  /
1640 $      \ | /
1641 $        3
1642 
1643   Level: beginner
1644 
1645 .seealso: DMPlexCreateFromCellList(), DMPlexCreateFromDAG(), DMPlexCreate()
1646 @*/
1647 PetscErrorCode DMPlexCreateFromCellListParallel(MPI_Comm comm, PetscInt dim, PetscInt numCells, PetscInt numVertices, PetscInt numCorners, PetscBool interpolate, const int cells[], PetscInt spaceDim, const double vertexCoords[], PetscSF *vertexSF, DM *dm)
1648 {
1649   PetscSF        sfVert;
1650   PetscErrorCode ierr;
1651 
1652   PetscFunctionBegin;
1653   ierr = DMCreate(comm, dm);CHKERRQ(ierr);
1654   ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr);
1655   PetscValidLogicalCollectiveInt(*dm, dim, 2);
1656   PetscValidLogicalCollectiveInt(*dm, spaceDim, 8);
1657   ierr = DMSetDimension(*dm, dim);CHKERRQ(ierr);
1658   ierr = DMPlexBuildFromCellList_Parallel_Private(*dm, numCells, numVertices, numCorners, cells, &sfVert);CHKERRQ(ierr);
1659   if (interpolate) {
1660     DM idm = NULL;
1661 
1662     ierr = DMPlexInterpolate(*dm, &idm);CHKERRQ(ierr);
1663     ierr = DMDestroy(dm);CHKERRQ(ierr);
1664     *dm  = idm;
1665   }
1666   ierr = DMPlexBuildCoordinates_Parallel_Private(*dm, spaceDim, numCells, sfVert, vertexCoords);CHKERRQ(ierr);
1667   if (vertexSF) *vertexSF = sfVert;
1668   else ierr = PetscSFDestroy(&sfVert);CHKERRQ(ierr);
1669   PetscFunctionReturn(0);
1670 }
1671 
1672 /*
1673   This takes as input the common mesh generator output, a list of the vertices for each cell
1674 */
1675 static PetscErrorCode DMPlexBuildFromCellList_Private(DM dm, PetscInt numCells, PetscInt numVertices, PetscInt numCorners, const int cells[])
1676 {
1677   PetscInt      *cone, c, p;
1678   PetscErrorCode ierr;
1679 
1680   PetscFunctionBegin;
1681   ierr = DMPlexSetChart(dm, 0, numCells+numVertices);CHKERRQ(ierr);
1682   for (c = 0; c < numCells; ++c) {
1683     ierr = DMPlexSetConeSize(dm, c, numCorners);CHKERRQ(ierr);
1684   }
1685   ierr = DMSetUp(dm);CHKERRQ(ierr);
1686   ierr = DMGetWorkArray(dm, numCorners, PETSC_INT, &cone);CHKERRQ(ierr);
1687   for (c = 0; c < numCells; ++c) {
1688     for (p = 0; p < numCorners; ++p) {
1689       cone[p] = cells[c*numCorners+p]+numCells;
1690     }
1691     ierr = DMPlexSetCone(dm, c, cone);CHKERRQ(ierr);
1692   }
1693   ierr = DMRestoreWorkArray(dm, numCorners, PETSC_INT, &cone);CHKERRQ(ierr);
1694   ierr = DMPlexSymmetrize(dm);CHKERRQ(ierr);
1695   ierr = DMPlexStratify(dm);CHKERRQ(ierr);
1696   PetscFunctionReturn(0);
1697 }
1698 
1699 /*
1700   This takes as input the coordinates for each vertex
1701 */
1702 static PetscErrorCode DMPlexBuildCoordinates_Private(DM dm, PetscInt spaceDim, PetscInt numCells, PetscInt numVertices, const double vertexCoords[])
1703 {
1704   PetscSection   coordSection;
1705   Vec            coordinates;
1706   DM             cdm;
1707   PetscScalar   *coords;
1708   PetscInt       v, d;
1709   PetscErrorCode ierr;
1710 
1711   PetscFunctionBegin;
1712   ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
1713   ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr);
1714   ierr = PetscSectionSetFieldComponents(coordSection, 0, spaceDim);CHKERRQ(ierr);
1715   ierr = PetscSectionSetChart(coordSection, numCells, numCells + numVertices);CHKERRQ(ierr);
1716   for (v = numCells; v < numCells+numVertices; ++v) {
1717     ierr = PetscSectionSetDof(coordSection, v, spaceDim);CHKERRQ(ierr);
1718     ierr = PetscSectionSetFieldDof(coordSection, v, 0, spaceDim);CHKERRQ(ierr);
1719   }
1720   ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr);
1721 
1722   ierr = DMGetCoordinateDM(dm, &cdm);CHKERRQ(ierr);
1723   ierr = DMCreateLocalVector(cdm, &coordinates);CHKERRQ(ierr);
1724   ierr = VecSetBlockSize(coordinates, spaceDim);CHKERRQ(ierr);
1725   ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr);
1726   ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
1727   for (v = 0; v < numVertices; ++v) {
1728     for (d = 0; d < spaceDim; ++d) {
1729       coords[v*spaceDim+d] = vertexCoords[v*spaceDim+d];
1730     }
1731   }
1732   ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
1733   ierr = DMSetCoordinatesLocal(dm, coordinates);CHKERRQ(ierr);
1734   ierr = VecDestroy(&coordinates);CHKERRQ(ierr);
1735   PetscFunctionReturn(0);
1736 }
1737 
1738 /*@C
1739   DMPlexCreateFromCellList - This takes as input common mesh generator output, a list of the vertices for each cell, and produces a DM
1740 
1741   Input Parameters:
1742 + comm - The communicator
1743 . dim - The topological dimension of the mesh
1744 . numCells - The number of cells
1745 . numVertices - The number of vertices
1746 . numCorners - The number of vertices for each cell
1747 . interpolate - Flag indicating that intermediate mesh entities (faces, edges) should be created automatically
1748 . cells - An array of numCells*numCorners numbers, the vertices for each cell
1749 . spaceDim - The spatial dimension used for coordinates
1750 - vertexCoords - An array of numVertices*spaceDim numbers, the coordinates of each vertex
1751 
1752   Output Parameter:
1753 . dm - The DM
1754 
1755   Note: Two triangles sharing a face
1756 $
1757 $        2
1758 $      / | \
1759 $     /  |  \
1760 $    /   |   \
1761 $   0  0 | 1  3
1762 $    \   |   /
1763 $     \  |  /
1764 $      \ | /
1765 $        1
1766 would have input
1767 $  numCells = 2, numVertices = 4
1768 $  cells = [0 1 2  1 3 2]
1769 $
1770 which would result in the DMPlex
1771 $
1772 $        4
1773 $      / | \
1774 $     /  |  \
1775 $    /   |   \
1776 $   2  0 | 1  5
1777 $    \   |   /
1778 $     \  |  /
1779 $      \ | /
1780 $        3
1781 
1782   Level: beginner
1783 
1784 .seealso: DMPlexCreateFromDAG(), DMPlexCreate()
1785 @*/
1786 PetscErrorCode DMPlexCreateFromCellList(MPI_Comm comm, PetscInt dim, PetscInt numCells, PetscInt numVertices, PetscInt numCorners, PetscBool interpolate, const int cells[], PetscInt spaceDim, const double vertexCoords[], DM *dm)
1787 {
1788   PetscErrorCode ierr;
1789 
1790   PetscFunctionBegin;
1791   ierr = DMCreate(comm, dm);CHKERRQ(ierr);
1792   ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr);
1793   ierr = DMSetDimension(*dm, dim);CHKERRQ(ierr);
1794   ierr = DMPlexBuildFromCellList_Private(*dm, numCells, numVertices, numCorners, cells);CHKERRQ(ierr);
1795   if (interpolate) {
1796     DM idm = NULL;
1797 
1798     ierr = DMPlexInterpolate(*dm, &idm);CHKERRQ(ierr);
1799     ierr = DMDestroy(dm);CHKERRQ(ierr);
1800     *dm  = idm;
1801   }
1802   ierr = DMPlexBuildCoordinates_Private(*dm, spaceDim, numCells, numVertices, vertexCoords);CHKERRQ(ierr);
1803   PetscFunctionReturn(0);
1804 }
1805 
1806 /*@
1807   DMPlexCreateFromDAG - This takes as input the adjacency-list representation of the Directed Acyclic Graph (Hasse Diagram) encoding a mesh, and produces a DM
1808 
1809   Input Parameters:
1810 + dm - The empty DM object, usually from DMCreate() and DMSetDimension()
1811 . depth - The depth of the DAG
1812 . numPoints - The number of points at each depth
1813 . coneSize - The cone size of each point
1814 . cones - The concatenation of the cone points for each point, the cone list must be oriented correctly for each point
1815 . coneOrientations - The orientation of each cone point
1816 - vertexCoords - An array of numVertices*dim numbers, the coordinates of each vertex
1817 
1818   Output Parameter:
1819 . dm - The DM
1820 
1821   Note: Two triangles sharing a face would have input
1822 $  depth = 1, numPoints = [4 2], coneSize = [3 3 0 0 0 0]
1823 $  cones = [2 3 4  3 5 4], coneOrientations = [0 0 0  0 0 0]
1824 $ vertexCoords = [-1.0 0.0  0.0 -1.0  0.0 1.0  1.0 0.0]
1825 $
1826 which would result in the DMPlex
1827 $
1828 $        4
1829 $      / | \
1830 $     /  |  \
1831 $    /   |   \
1832 $   2  0 | 1  5
1833 $    \   |   /
1834 $     \  |  /
1835 $      \ | /
1836 $        3
1837 $
1838 $ Notice that all points are numbered consecutively, unlikely DMPlexCreateFromCellList()
1839 
1840   Level: advanced
1841 
1842 .seealso: DMPlexCreateFromCellList(), DMPlexCreate()
1843 @*/
1844 PetscErrorCode DMPlexCreateFromDAG(DM dm, PetscInt depth, const PetscInt numPoints[], const PetscInt coneSize[], const PetscInt cones[], const PetscInt coneOrientations[], const PetscScalar vertexCoords[])
1845 {
1846   Vec            coordinates;
1847   PetscSection   coordSection;
1848   PetscScalar    *coords;
1849   PetscInt       coordSize, firstVertex = -1, pStart = 0, pEnd = 0, p, v, dim, dimEmbed, d, off;
1850   PetscErrorCode ierr;
1851 
1852   PetscFunctionBegin;
1853   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
1854   ierr = DMGetCoordinateDim(dm, &dimEmbed);CHKERRQ(ierr);
1855   if (dimEmbed < dim) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Embedding dimension %d cannot be less than intrinsic dimension %d",dimEmbed,dim);
1856   for (d = 0; d <= depth; ++d) pEnd += numPoints[d];
1857   ierr = DMPlexSetChart(dm, pStart, pEnd);CHKERRQ(ierr);
1858   for (p = pStart; p < pEnd; ++p) {
1859     ierr = DMPlexSetConeSize(dm, p, coneSize[p-pStart]);CHKERRQ(ierr);
1860     if (firstVertex < 0 && !coneSize[p - pStart]) {
1861       firstVertex = p - pStart;
1862     }
1863   }
1864   if (firstVertex < 0 && numPoints[0]) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Expected %d vertices but could not find any", numPoints[0]);
1865   ierr = DMSetUp(dm);CHKERRQ(ierr); /* Allocate space for cones */
1866   for (p = pStart, off = 0; p < pEnd; off += coneSize[p-pStart], ++p) {
1867     ierr = DMPlexSetCone(dm, p, &cones[off]);CHKERRQ(ierr);
1868     ierr = DMPlexSetConeOrientation(dm, p, &coneOrientations[off]);CHKERRQ(ierr);
1869   }
1870   ierr = DMPlexSymmetrize(dm);CHKERRQ(ierr);
1871   ierr = DMPlexStratify(dm);CHKERRQ(ierr);
1872   /* Build coordinates */
1873   ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
1874   ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr);
1875   ierr = PetscSectionSetFieldComponents(coordSection, 0, dimEmbed);CHKERRQ(ierr);
1876   ierr = PetscSectionSetChart(coordSection, firstVertex, firstVertex+numPoints[0]);CHKERRQ(ierr);
1877   for (v = firstVertex; v < firstVertex+numPoints[0]; ++v) {
1878     ierr = PetscSectionSetDof(coordSection, v, dimEmbed);CHKERRQ(ierr);
1879     ierr = PetscSectionSetFieldDof(coordSection, v, 0, dimEmbed);CHKERRQ(ierr);
1880   }
1881   ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr);
1882   ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr);
1883   ierr = VecCreate(PETSC_COMM_SELF, &coordinates);CHKERRQ(ierr);
1884   ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr);
1885   ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr);
1886   ierr = VecSetBlockSize(coordinates, dimEmbed);CHKERRQ(ierr);
1887   ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr);
1888   ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
1889   for (v = 0; v < numPoints[0]; ++v) {
1890     PetscInt off;
1891 
1892     ierr = PetscSectionGetOffset(coordSection, v+firstVertex, &off);CHKERRQ(ierr);
1893     for (d = 0; d < dimEmbed; ++d) {
1894       coords[off+d] = vertexCoords[v*dimEmbed+d];
1895     }
1896   }
1897   ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
1898   ierr = DMSetCoordinatesLocal(dm, coordinates);CHKERRQ(ierr);
1899   ierr = VecDestroy(&coordinates);CHKERRQ(ierr);
1900   PetscFunctionReturn(0);
1901 }
1902 
1903 /*@C
1904   DMPlexCreateFromFile - This takes a filename and produces a DM
1905 
1906   Input Parameters:
1907 + comm - The communicator
1908 . filename - A file name
1909 - interpolate - Flag to create intermediate mesh pieces (edges, faces)
1910 
1911   Output Parameter:
1912 . dm - The DM
1913 
1914   Level: beginner
1915 
1916 .seealso: DMPlexCreateFromDAG(), DMPlexCreateFromCellList(), DMPlexCreate()
1917 @*/
1918 PetscErrorCode DMPlexCreateFromFile(MPI_Comm comm, const char filename[], PetscBool interpolate, DM *dm)
1919 {
1920   const char    *extGmsh   = ".msh";
1921   const char    *extCGNS   = ".cgns";
1922   const char    *extExodus = ".exo";
1923   const char    *extFluent = ".cas";
1924   const char    *extHDF5   = ".h5";
1925   const char    *extMed    = ".med";
1926   size_t         len;
1927   PetscBool      isGmsh, isCGNS, isExodus, isFluent, isHDF5, isMed;
1928   PetscMPIInt    rank;
1929   PetscErrorCode ierr;
1930 
1931   PetscFunctionBegin;
1932   PetscValidPointer(filename, 2);
1933   PetscValidPointer(dm, 4);
1934   ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr);
1935   ierr = PetscStrlen(filename, &len);CHKERRQ(ierr);
1936   if (!len) SETERRQ(comm, PETSC_ERR_ARG_WRONG, "Filename must be a valid path");
1937   ierr = PetscStrncmp(&filename[PetscMax(0,len-4)], extGmsh,   4, &isGmsh);CHKERRQ(ierr);
1938   ierr = PetscStrncmp(&filename[PetscMax(0,len-5)], extCGNS,   5, &isCGNS);CHKERRQ(ierr);
1939   ierr = PetscStrncmp(&filename[PetscMax(0,len-4)], extExodus, 4, &isExodus);CHKERRQ(ierr);
1940   ierr = PetscStrncmp(&filename[PetscMax(0,len-4)], extFluent, 4, &isFluent);CHKERRQ(ierr);
1941   ierr = PetscStrncmp(&filename[PetscMax(0,len-3)], extHDF5,   3, &isHDF5);CHKERRQ(ierr);
1942   ierr = PetscStrncmp(&filename[PetscMax(0,len-4)], extMed,    4, &isMed);CHKERRQ(ierr);
1943   if (isGmsh) {
1944     ierr = DMPlexCreateGmshFromFile(comm, filename, interpolate, dm);CHKERRQ(ierr);
1945   } else if (isCGNS) {
1946     ierr = DMPlexCreateCGNSFromFile(comm, filename, interpolate, dm);CHKERRQ(ierr);
1947   } else if (isExodus) {
1948     ierr = DMPlexCreateExodusFromFile(comm, filename, interpolate, dm);CHKERRQ(ierr);
1949   } else if (isFluent) {
1950     ierr = DMPlexCreateFluentFromFile(comm, filename, interpolate, dm);CHKERRQ(ierr);
1951   } else if (isHDF5) {
1952     PetscViewer viewer;
1953 
1954     ierr = PetscViewerCreate(comm, &viewer);CHKERRQ(ierr);
1955     ierr = PetscViewerSetType(viewer, PETSCVIEWERHDF5);CHKERRQ(ierr);
1956     ierr = PetscViewerFileSetMode(viewer, FILE_MODE_READ);CHKERRQ(ierr);
1957     ierr = PetscViewerFileSetName(viewer, filename);CHKERRQ(ierr);
1958     ierr = DMCreate(comm, dm);CHKERRQ(ierr);
1959     ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr);
1960     ierr = DMLoad(*dm, viewer);CHKERRQ(ierr);
1961     ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
1962   } else if (isMed) {
1963     ierr = DMPlexCreateMedFromFile(comm, filename, interpolate, dm);CHKERRQ(ierr);
1964   } else SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Cannot load file %s: unrecognized extension", filename);
1965   PetscFunctionReturn(0);
1966 }
1967 
1968 /*@
1969   DMPlexCreateReferenceCell - Create a DMPLEX with the appropriate FEM reference cell
1970 
1971   Collective on comm
1972 
1973   Input Parameters:
1974 + comm    - The communicator
1975 . dim     - The spatial dimension
1976 - simplex - Flag for simplex, otherwise use a tensor-product cell
1977 
1978   Output Parameter:
1979 . refdm - The reference cell
1980 
1981   Level: intermediate
1982 
1983 .keywords: reference cell
1984 .seealso:
1985 @*/
1986 PetscErrorCode DMPlexCreateReferenceCell(MPI_Comm comm, PetscInt dim, PetscBool simplex, DM *refdm)
1987 {
1988   DM             rdm;
1989   Vec            coords;
1990   PetscErrorCode ierr;
1991 
1992   PetscFunctionBeginUser;
1993   ierr = DMCreate(comm, &rdm);CHKERRQ(ierr);
1994   ierr = DMSetType(rdm, DMPLEX);CHKERRQ(ierr);
1995   ierr = DMSetDimension(rdm, dim);CHKERRQ(ierr);
1996   switch (dim) {
1997   case 0:
1998   {
1999     PetscInt    numPoints[1]        = {1};
2000     PetscInt    coneSize[1]         = {0};
2001     PetscInt    cones[1]            = {0};
2002     PetscInt    coneOrientations[1] = {0};
2003     PetscScalar vertexCoords[1]     = {0.0};
2004 
2005     ierr = DMPlexCreateFromDAG(rdm, 0, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr);
2006   }
2007   break;
2008   case 1:
2009   {
2010     PetscInt    numPoints[2]        = {2, 1};
2011     PetscInt    coneSize[3]         = {2, 0, 0};
2012     PetscInt    cones[2]            = {1, 2};
2013     PetscInt    coneOrientations[2] = {0, 0};
2014     PetscScalar vertexCoords[2]     = {-1.0,  1.0};
2015 
2016     ierr = DMPlexCreateFromDAG(rdm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr);
2017   }
2018   break;
2019   case 2:
2020     if (simplex) {
2021       PetscInt    numPoints[2]        = {3, 1};
2022       PetscInt    coneSize[4]         = {3, 0, 0, 0};
2023       PetscInt    cones[3]            = {1, 2, 3};
2024       PetscInt    coneOrientations[3] = {0, 0, 0};
2025       PetscScalar vertexCoords[6]     = {-1.0, -1.0,  1.0, -1.0,  -1.0, 1.0};
2026 
2027       ierr = DMPlexCreateFromDAG(rdm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr);
2028     } else {
2029       PetscInt    numPoints[2]        = {4, 1};
2030       PetscInt    coneSize[5]         = {4, 0, 0, 0, 0};
2031       PetscInt    cones[4]            = {1, 2, 3, 4};
2032       PetscInt    coneOrientations[4] = {0, 0, 0, 0};
2033       PetscScalar vertexCoords[8]     = {-1.0, -1.0,  1.0, -1.0,  1.0, 1.0,  -1.0, 1.0};
2034 
2035       ierr = DMPlexCreateFromDAG(rdm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr);
2036     }
2037   break;
2038   case 3:
2039     if (simplex) {
2040       PetscInt    numPoints[2]        = {4, 1};
2041       PetscInt    coneSize[5]         = {4, 0, 0, 0, 0};
2042       PetscInt    cones[4]            = {1, 3, 2, 4};
2043       PetscInt    coneOrientations[4] = {0, 0, 0, 0};
2044       PetscScalar vertexCoords[12]    = {-1.0, -1.0, -1.0,  1.0, -1.0, -1.0,  -1.0, 1.0, -1.0,  -1.0, -1.0, 1.0};
2045 
2046       ierr = DMPlexCreateFromDAG(rdm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr);
2047     } else {
2048       PetscInt    numPoints[2]        = {8, 1};
2049       PetscInt    coneSize[9]         = {8, 0, 0, 0, 0, 0, 0, 0, 0};
2050       PetscInt    cones[8]            = {1, 4, 3, 2, 5, 6, 7, 8};
2051       PetscInt    coneOrientations[8] = {0, 0, 0, 0, 0, 0, 0, 0};
2052       PetscScalar vertexCoords[24]    = {-1.0, -1.0, -1.0,  1.0, -1.0, -1.0,  1.0, 1.0, -1.0,  -1.0, 1.0, -1.0,
2053                                          -1.0, -1.0,  1.0,  1.0, -1.0,  1.0,  1.0, 1.0,  1.0,  -1.0, 1.0,  1.0};
2054 
2055       ierr = DMPlexCreateFromDAG(rdm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr);
2056     }
2057   break;
2058   default:
2059     SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Cannot create reference cell for dimension %d", dim);
2060   }
2061   *refdm = NULL;
2062   ierr = DMPlexInterpolate(rdm, refdm);CHKERRQ(ierr);
2063   if (rdm->coordinateDM) {
2064     DM           ncdm;
2065     PetscSection cs;
2066     PetscInt     pEnd = -1;
2067 
2068     ierr = DMGetDefaultSection(rdm->coordinateDM, &cs);CHKERRQ(ierr);
2069     if (cs) {ierr = PetscSectionGetChart(cs, NULL, &pEnd);CHKERRQ(ierr);}
2070     if (pEnd >= 0) {
2071       ierr = DMClone(rdm->coordinateDM, &ncdm);CHKERRQ(ierr);
2072       ierr = DMSetDefaultSection(ncdm, cs);CHKERRQ(ierr);
2073       ierr = DMSetCoordinateDM(*refdm, ncdm);CHKERRQ(ierr);
2074       ierr = DMDestroy(&ncdm);CHKERRQ(ierr);
2075     }
2076   }
2077   ierr = DMGetCoordinatesLocal(rdm, &coords);CHKERRQ(ierr);
2078   if (coords) {
2079     ierr = DMSetCoordinatesLocal(*refdm, coords);CHKERRQ(ierr);
2080   } else {
2081     ierr = DMGetCoordinates(rdm, &coords);CHKERRQ(ierr);
2082     if (coords) {ierr = DMSetCoordinates(*refdm, coords);CHKERRQ(ierr);}
2083   }
2084   ierr = DMDestroy(&rdm);CHKERRQ(ierr);
2085   PetscFunctionReturn(0);
2086 }
2087