xref: /petsc/src/dm/impls/plex/plexcreate.c (revision 8415267dcf5233f319cfdfc64a79bd73f287dafc)
1 #define PETSCDM_DLL
2 #include <petsc-private/dmpleximpl.h>    /*I   "petscdmplex.h"   I*/
3 #include <petscdmda.h>
4 #include <petscsf.h>
5 
6 #undef __FUNCT__
7 #define __FUNCT__ "DMPlexCreateDoublet"
8 /*@
9   DMPlexCreateDoublet - Creates a mesh of two cells of the specified type, optionally with later refinement.
10 
11   Collective on MPI_Comm
12 
13   Input Parameters:
14 + comm - The communicator for the DM object
15 . dim - The spatial dimension
16 . simplex - Flag for simplicial cells, otherwise they are tensor product cells
17 . interpolate - Flag to create intermediate mesh pieces (edges, faces)
18 . refinementUniform - Flag for uniform parallel refinement
19 - refinementLimit - A nonzero number indicates the largest admissible volume for a refined cell
20 
21   Output Parameter:
22 . dm  - The DM object
23 
24   Level: beginner
25 
26 .keywords: DM, create
27 .seealso: DMSetType(), DMCreate()
28 @*/
29 PetscErrorCode DMPlexCreateDoublet(MPI_Comm comm, PetscInt dim, PetscBool simplex, PetscBool interpolate, PetscBool refinementUniform, PetscReal refinementLimit, DM *newdm)
30 {
31   DM             dm;
32   PetscInt       p;
33   PetscMPIInt    rank;
34   PetscErrorCode ierr;
35 
36   PetscFunctionBegin;
37   ierr = DMCreate(comm, &dm);CHKERRQ(ierr);
38   ierr = DMSetType(dm, DMPLEX);CHKERRQ(ierr);
39   ierr = DMSetDimension(dm, dim);CHKERRQ(ierr);
40   ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr);
41   switch (dim) {
42   case 2:
43     if (simplex) {ierr = PetscObjectSetName((PetscObject) dm, "triangular");CHKERRQ(ierr);}
44     else         {ierr = PetscObjectSetName((PetscObject) dm, "quadrilateral");CHKERRQ(ierr);}
45     break;
46   case 3:
47     if (simplex) {ierr = PetscObjectSetName((PetscObject) dm, "tetrahedral");CHKERRQ(ierr);}
48     else         {ierr = PetscObjectSetName((PetscObject) dm, "hexahedral");CHKERRQ(ierr);}
49     break;
50   default:
51     SETERRQ1(comm, PETSC_ERR_ARG_OUTOFRANGE, "Cannot make meshes for dimension %d", dim);
52   }
53   if (rank) {
54     PetscInt numPoints[2] = {0, 0};
55     ierr = DMPlexCreateFromDAG(dm, 1, numPoints, NULL, NULL, NULL, NULL);CHKERRQ(ierr);
56   } else {
57     switch (dim) {
58     case 2:
59       if (simplex) {
60         PetscInt    numPoints[2]        = {4, 2};
61         PetscInt    coneSize[6]         = {3, 3, 0, 0, 0, 0};
62         PetscInt    cones[6]            = {2, 3, 4,  5, 4, 3};
63         PetscInt    coneOrientations[6] = {0, 0, 0,  0, 0, 0};
64         PetscScalar vertexCoords[8]     = {-0.5, 0.5, 0.0, 0.0, 0.0, 1.0, 0.5, 0.5};
65         PetscInt    markerPoints[8]     = {2, 1, 3, 1, 4, 1, 5, 1};
66 
67         ierr = DMPlexCreateFromDAG(dm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr);
68         for (p = 0; p < 4; ++p) {ierr = DMPlexSetLabelValue(dm, "marker", markerPoints[p*2], markerPoints[p*2+1]);CHKERRQ(ierr);}
69       } else {
70         PetscInt    numPoints[2]        = {6, 2};
71         PetscInt    coneSize[8]         = {4, 4, 0, 0, 0, 0, 0, 0};
72         PetscInt    cones[8]            = {2, 3, 4, 5,  3, 6, 7, 4};
73         PetscInt    coneOrientations[8] = {0, 0, 0, 0,  0, 0, 0, 0};
74         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};
75 
76         ierr = DMPlexCreateFromDAG(dm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr);
77       }
78       break;
79     case 3:
80       if (simplex) {
81         PetscInt    numPoints[2]        = {5, 2};
82         PetscInt    coneSize[7]         = {4, 4, 0, 0, 0, 0, 0};
83         PetscInt    cones[8]            = {4, 3, 5, 2,  5, 3, 4, 6};
84         PetscInt    coneOrientations[8] = {0, 0, 0, 0,  0, 0, 0, 0};
85         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};
86         PetscInt    markerPoints[10]    = {2, 1, 3, 1, 4, 1, 5, 1, 6, 1};
87 
88         ierr = DMPlexCreateFromDAG(dm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr);
89         for (p = 0; p < 5; ++p) {ierr = DMPlexSetLabelValue(dm, "marker", markerPoints[p*2], markerPoints[p*2+1]);CHKERRQ(ierr);}
90       } else {
91         PetscInt    numPoints[2]         = {12, 2};
92         PetscInt    coneSize[14]         = {8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
93         PetscInt    cones[16]            = {2, 3, 4, 5, 6, 7, 8, 9,  5, 4, 10, 11, 7, 12, 13, 8};
94         PetscInt    coneOrientations[16] = {0, 0, 0, 0, 0, 0, 0, 0,  0, 0,  0,  0, 0,  0,  0, 0};
95         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,
96                                             -1.0, -0.5,  0.5,   0.0, -0.5,  0.5,  0.0,  0.5,  0.5,  -1.0,  0.5,  0.5,
97                                              1.0,  0.5, -0.5,   1.0, -0.5, -0.5,  1.0, -0.5,  0.5,   1.0,  0.5,  0.5};
98 
99         ierr = DMPlexCreateFromDAG(dm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr);
100       }
101       break;
102     default:
103       SETERRQ1(comm, PETSC_ERR_ARG_OUTOFRANGE, "Cannot make meshes for dimension %d", dim);
104     }
105   }
106   *newdm = dm;
107   if (refinementLimit > 0.0) {
108     DM rdm;
109     const char *name;
110 
111     ierr = DMPlexSetRefinementUniform(*newdm, PETSC_FALSE);CHKERRQ(ierr);
112     ierr = DMPlexSetRefinementLimit(*newdm, refinementLimit);CHKERRQ(ierr);
113     ierr = DMRefine(*newdm, comm, &rdm);CHKERRQ(ierr);
114     ierr = PetscObjectGetName((PetscObject) *newdm, &name);CHKERRQ(ierr);
115     ierr = PetscObjectSetName((PetscObject)    rdm,  name);CHKERRQ(ierr);
116     ierr = DMDestroy(newdm);CHKERRQ(ierr);
117     *newdm = rdm;
118   }
119   if (interpolate) {
120     DM idm = NULL;
121     const char *name;
122 
123     ierr = DMPlexInterpolate(*newdm, &idm);CHKERRQ(ierr);
124     ierr = PetscObjectGetName((PetscObject) *newdm, &name);CHKERRQ(ierr);
125     ierr = PetscObjectSetName((PetscObject)    idm,  name);CHKERRQ(ierr);
126     ierr = DMPlexCopyCoordinates(*newdm, idm);CHKERRQ(ierr);
127     ierr = DMPlexCopyLabels(*newdm, idm);CHKERRQ(ierr);
128     ierr = DMDestroy(newdm);CHKERRQ(ierr);
129     *newdm = idm;
130   }
131   {
132     DM refinedMesh     = NULL;
133     DM distributedMesh = NULL;
134 
135     /* Distribute mesh over processes */
136     ierr = DMPlexDistribute(*newdm, NULL, 0, NULL, &distributedMesh);CHKERRQ(ierr);
137     if (distributedMesh) {
138       ierr = DMDestroy(newdm);CHKERRQ(ierr);
139       *newdm = distributedMesh;
140     }
141     if (refinementUniform) {
142       ierr = DMPlexSetRefinementUniform(*newdm, refinementUniform);CHKERRQ(ierr);
143       ierr = DMRefine(*newdm, comm, &refinedMesh);CHKERRQ(ierr);
144       if (refinedMesh) {
145         ierr = DMDestroy(newdm);CHKERRQ(ierr);
146         *newdm = refinedMesh;
147       }
148     }
149   }
150   PetscFunctionReturn(0);
151 }
152 
153 #undef __FUNCT__
154 #define __FUNCT__ "DMPlexCreateSquareBoundary"
155 /*@
156   DMPlexCreateSquareBoundary - Creates a 1D mesh the is the boundary of a square lattice.
157 
158   Collective on MPI_Comm
159 
160   Input Parameters:
161 + comm  - The communicator for the DM object
162 . lower - The lower left corner coordinates
163 . upper - The upper right corner coordinates
164 - edges - The number of cells in each direction
165 
166   Output Parameter:
167 . dm  - The DM object
168 
169   Note: Here is the numbering returned for 2 cells in each direction:
170 $ 18--5-17--4--16
171 $  |     |     |
172 $  6    10     3
173 $  |     |     |
174 $ 19-11-20--9--15
175 $  |     |     |
176 $  7     8     2
177 $  |     |     |
178 $ 12--0-13--1--14
179 
180   Level: beginner
181 
182 .keywords: DM, create
183 .seealso: DMPlexCreateBoxMesh(), DMPlexCreateCubeBoundary(), DMSetType(), DMCreate()
184 @*/
185 PetscErrorCode DMPlexCreateSquareBoundary(DM dm, const PetscReal lower[], const PetscReal upper[], const PetscInt edges[])
186 {
187   PetscInt       numVertices    = (edges[0]+1)*(edges[1]+1);
188   PetscInt       numEdges       = edges[0]*(edges[1]+1) + (edges[0]+1)*edges[1];
189   PetscInt       markerTop      = 1;
190   PetscInt       markerBottom   = 1;
191   PetscInt       markerRight    = 1;
192   PetscInt       markerLeft     = 1;
193   PetscBool      markerSeparate = PETSC_FALSE;
194   Vec            coordinates;
195   PetscSection   coordSection;
196   PetscScalar    *coords;
197   PetscInt       coordSize;
198   PetscMPIInt    rank;
199   PetscInt       v, vx, vy;
200   PetscErrorCode ierr;
201 
202   PetscFunctionBegin;
203   ierr = PetscOptionsGetBool(((PetscObject) dm)->prefix, "-dm_plex_separate_marker", &markerSeparate, NULL);CHKERRQ(ierr);
204   if (markerSeparate) {
205     markerTop    = 1;
206     markerBottom = 0;
207     markerRight  = 0;
208     markerLeft   = 0;
209   }
210   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)dm), &rank);CHKERRQ(ierr);
211   if (!rank) {
212     PetscInt e, ex, ey;
213 
214     ierr = DMPlexSetChart(dm, 0, numEdges+numVertices);CHKERRQ(ierr);
215     for (e = 0; e < numEdges; ++e) {
216       ierr = DMPlexSetConeSize(dm, e, 2);CHKERRQ(ierr);
217     }
218     ierr = DMSetUp(dm);CHKERRQ(ierr); /* Allocate space for cones */
219     for (vx = 0; vx <= edges[0]; vx++) {
220       for (ey = 0; ey < edges[1]; ey++) {
221         PetscInt edge   = vx*edges[1] + ey + edges[0]*(edges[1]+1);
222         PetscInt vertex = ey*(edges[0]+1) + vx + numEdges;
223         PetscInt cone[2];
224 
225         cone[0] = vertex; cone[1] = vertex+edges[0]+1;
226         ierr    = DMPlexSetCone(dm, edge, cone);CHKERRQ(ierr);
227         if (vx == edges[0]) {
228           ierr = DMPlexSetLabelValue(dm, "marker", edge,    markerRight);CHKERRQ(ierr);
229           ierr = DMPlexSetLabelValue(dm, "marker", cone[0], markerRight);CHKERRQ(ierr);
230           if (ey == edges[1]-1) {
231             ierr = DMPlexSetLabelValue(dm, "marker", cone[1], markerRight);CHKERRQ(ierr);
232           }
233         } else if (vx == 0) {
234           ierr = DMPlexSetLabelValue(dm, "marker", edge,    markerLeft);CHKERRQ(ierr);
235           ierr = DMPlexSetLabelValue(dm, "marker", cone[0], markerLeft);CHKERRQ(ierr);
236           if (ey == edges[1]-1) {
237             ierr = DMPlexSetLabelValue(dm, "marker", cone[1], markerLeft);CHKERRQ(ierr);
238           }
239         }
240       }
241     }
242     for (vy = 0; vy <= edges[1]; vy++) {
243       for (ex = 0; ex < edges[0]; ex++) {
244         PetscInt edge   = vy*edges[0]     + ex;
245         PetscInt vertex = vy*(edges[0]+1) + ex + numEdges;
246         PetscInt cone[2];
247 
248         cone[0] = vertex; cone[1] = vertex+1;
249         ierr    = DMPlexSetCone(dm, edge, cone);CHKERRQ(ierr);
250         if (vy == edges[1]) {
251           ierr = DMPlexSetLabelValue(dm, "marker", edge,    markerTop);CHKERRQ(ierr);
252           ierr = DMPlexSetLabelValue(dm, "marker", cone[0], markerTop);CHKERRQ(ierr);
253           if (ex == edges[0]-1) {
254             ierr = DMPlexSetLabelValue(dm, "marker", cone[1], markerTop);CHKERRQ(ierr);
255           }
256         } else if (vy == 0) {
257           ierr = DMPlexSetLabelValue(dm, "marker", edge,    markerBottom);CHKERRQ(ierr);
258           ierr = DMPlexSetLabelValue(dm, "marker", cone[0], markerBottom);CHKERRQ(ierr);
259           if (ex == edges[0]-1) {
260             ierr = DMPlexSetLabelValue(dm, "marker", cone[1], markerBottom);CHKERRQ(ierr);
261           }
262         }
263       }
264     }
265   }
266   ierr = DMPlexSymmetrize(dm);CHKERRQ(ierr);
267   ierr = DMPlexStratify(dm);CHKERRQ(ierr);
268   /* Build coordinates */
269   ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
270   ierr = PetscSectionSetChart(coordSection, numEdges, numEdges + numVertices);CHKERRQ(ierr);
271   for (v = numEdges; v < numEdges+numVertices; ++v) {
272     ierr = PetscSectionSetDof(coordSection, v, 2);CHKERRQ(ierr);
273   }
274   ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr);
275   ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr);
276   ierr = VecCreate(PetscObjectComm((PetscObject)dm), &coordinates);CHKERRQ(ierr);
277   ierr = VecSetBlockSize(coordinates, 2);CHKERRQ(ierr);
278   ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);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 #undef __FUNCT__
294 #define __FUNCT__ "DMPlexCreateCubeBoundary"
295 /*@
296   DMPlexCreateCubeBoundary - Creates a 2D mesh the is the boundary of a cubic lattice.
297 
298   Collective on MPI_Comm
299 
300   Input Parameters:
301 + comm  - The communicator for the DM object
302 . lower - The lower left front corner coordinates
303 . upper - The upper right back corner coordinates
304 - edges - The number of cells in each direction
305 
306   Output Parameter:
307 . dm  - The DM object
308 
309   Level: beginner
310 
311 .keywords: DM, create
312 .seealso: DMPlexCreateBoxMesh(), DMPlexCreateSquareBoundary(), DMSetType(), DMCreate()
313 @*/
314 PetscErrorCode DMPlexCreateCubeBoundary(DM dm, const PetscReal lower[], const PetscReal upper[], const PetscInt faces[])
315 {
316   PetscInt       vertices[3], numVertices;
317   PetscInt       numFaces    = 2*faces[0]*faces[1] + 2*faces[1]*faces[2] + 2*faces[0]*faces[2];
318   Vec            coordinates;
319   PetscSection   coordSection;
320   PetscScalar    *coords;
321   PetscInt       coordSize;
322   PetscMPIInt    rank;
323   PetscInt       v, vx, vy, vz;
324   PetscInt       voffset, iface=0, cone[4];
325   PetscErrorCode ierr;
326 
327   PetscFunctionBegin;
328   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");
329   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)dm), &rank);CHKERRQ(ierr);
330   vertices[0] = faces[0]+1; vertices[1] = faces[1]+1; vertices[2] = faces[2]+1;
331   numVertices = vertices[0]*vertices[1]*vertices[2];
332   if (!rank) {
333     PetscInt f;
334 
335     ierr = DMPlexSetChart(dm, 0, numFaces+numVertices);CHKERRQ(ierr);
336     for (f = 0; f < numFaces; ++f) {
337       ierr = DMPlexSetConeSize(dm, f, 4);CHKERRQ(ierr);
338     }
339     ierr = DMSetUp(dm);CHKERRQ(ierr); /* Allocate space for cones */
340     for (v = 0; v < numFaces+numVertices; ++v) {
341       ierr = DMPlexSetLabelValue(dm, "marker", v, 1);CHKERRQ(ierr);
342     }
343 
344     /* Side 0 (Top) */
345     for (vy = 0; vy < faces[1]; vy++) {
346       for (vx = 0; vx < faces[0]; vx++) {
347         voffset = numFaces + vertices[0]*vertices[1]*(vertices[2]-1) + vy*vertices[0] + vx;
348         cone[0] = voffset; cone[1] = voffset+1; cone[2] = voffset+vertices[0]+1; cone[3] = voffset+vertices[0];
349         ierr    = DMPlexSetCone(dm, iface, cone);CHKERRQ(ierr);
350         iface++;
351       }
352     }
353 
354     /* Side 1 (Bottom) */
355     for (vy = 0; vy < faces[1]; vy++) {
356       for (vx = 0; vx < faces[0]; vx++) {
357         voffset = numFaces + vy*(faces[0]+1) + vx;
358         cone[0] = voffset+1; cone[1] = voffset; cone[2] = voffset+vertices[0]; cone[3] = voffset+vertices[0]+1;
359         ierr    = DMPlexSetCone(dm, iface, cone);CHKERRQ(ierr);
360         iface++;
361       }
362     }
363 
364     /* Side 2 (Front) */
365     for (vz = 0; vz < faces[2]; vz++) {
366       for (vx = 0; vx < faces[0]; vx++) {
367         voffset = numFaces + vz*vertices[0]*vertices[1] + vx;
368         cone[0] = voffset; cone[1] = voffset+1; cone[2] = voffset+vertices[0]*vertices[1]+1; cone[3] = voffset+vertices[0]*vertices[1];
369         ierr    = DMPlexSetCone(dm, iface, cone);CHKERRQ(ierr);
370         iface++;
371       }
372     }
373 
374     /* Side 3 (Back) */
375     for (vz = 0; vz < faces[2]; vz++) {
376       for (vx = 0; vx < faces[0]; vx++) {
377         voffset = numFaces + vz*vertices[0]*vertices[1] + vertices[0]*(vertices[1]-1) + vx;
378         cone[0] = voffset+vertices[0]*vertices[1]; cone[1] = voffset+vertices[0]*vertices[1]+1;
379         cone[2] = voffset+1; cone[3] = voffset;
380         ierr    = DMPlexSetCone(dm, iface, cone);CHKERRQ(ierr);
381         iface++;
382       }
383     }
384 
385     /* Side 4 (Left) */
386     for (vz = 0; vz < faces[2]; vz++) {
387       for (vy = 0; vy < faces[1]; vy++) {
388         voffset = numFaces + vz*vertices[0]*vertices[1] + vy*vertices[0];
389         cone[0] = voffset; cone[1] = voffset+vertices[0]*vertices[1];
390         cone[2] = voffset+vertices[0]*vertices[1]+vertices[0]; cone[3] = voffset+vertices[0];
391         ierr    = DMPlexSetCone(dm, iface, cone);CHKERRQ(ierr);
392         iface++;
393       }
394     }
395 
396     /* Side 5 (Right) */
397     for (vz = 0; vz < faces[2]; vz++) {
398       for (vy = 0; vy < faces[1]; vy++) {
399         voffset = numFaces + vz*vertices[0]*vertices[1] + vy*vertices[0] + vx;
400         cone[0] = voffset+vertices[0]*vertices[1]; cone[1] = voffset;
401         cone[2] = voffset+vertices[0]; cone[3] = voffset+vertices[0]*vertices[1]+vertices[0];
402         ierr    = DMPlexSetCone(dm, iface, cone);CHKERRQ(ierr);
403         iface++;
404       }
405     }
406   }
407   ierr = DMPlexSymmetrize(dm);CHKERRQ(ierr);
408   ierr = DMPlexStratify(dm);CHKERRQ(ierr);
409   /* Build coordinates */
410   ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
411   ierr = PetscSectionSetChart(coordSection, numFaces, numFaces + numVertices);CHKERRQ(ierr);
412   for (v = numFaces; v < numFaces+numVertices; ++v) {
413     ierr = PetscSectionSetDof(coordSection, v, 3);CHKERRQ(ierr);
414   }
415   ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr);
416   ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr);
417   ierr = VecCreate(PetscObjectComm((PetscObject)dm), &coordinates);CHKERRQ(ierr);
418   ierr = VecSetBlockSize(coordinates, 3);CHKERRQ(ierr);
419   ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr);
420   ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr);
421   ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr);
422   ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
423   for (vz = 0; vz <= faces[2]; ++vz) {
424     for (vy = 0; vy <= faces[1]; ++vy) {
425       for (vx = 0; vx <= faces[0]; ++vx) {
426         coords[((vz*(faces[1]+1)+vy)*(faces[0]+1)+vx)*3+0] = lower[0] + ((upper[0] - lower[0])/faces[0])*vx;
427         coords[((vz*(faces[1]+1)+vy)*(faces[0]+1)+vx)*3+1] = lower[1] + ((upper[1] - lower[1])/faces[1])*vy;
428         coords[((vz*(faces[1]+1)+vy)*(faces[0]+1)+vx)*3+2] = lower[2] + ((upper[2] - lower[2])/faces[2])*vz;
429       }
430     }
431   }
432   ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
433   ierr = DMSetCoordinatesLocal(dm, coordinates);CHKERRQ(ierr);
434   ierr = VecDestroy(&coordinates);CHKERRQ(ierr);
435   PetscFunctionReturn(0);
436 }
437 
438 #undef __FUNCT__
439 #define __FUNCT__ "DMPlexCreateSquareMesh"
440 /*@
441   DMPlexCreateSquareMesh - Creates a 2D mesh for a square lattice.
442 
443   Collective on MPI_Comm
444 
445   Input Parameters:
446 + comm  - The communicator for the DM object
447 . lower - The lower left corner coordinates
448 . upper - The upper right corner coordinates
449 . edges - The number of cells in each direction
450 . bdX   - The boundary type for the X direction
451 - bdY   - The boundary type for the Y direction
452 
453   Output Parameter:
454 . dm  - The DM object
455 
456   Note: Here is the numbering returned for 2 cells in each direction:
457 $ 22--8-23--9--24
458 $  |     |     |
459 $ 13  2 14  3  15
460 $  |     |     |
461 $ 19--6-20--7--21
462 $  |     |     |
463 $ 10  0 11  1 12
464 $  |     |     |
465 $ 16--4-17--5--18
466 
467   Level: beginner
468 
469 .keywords: DM, create
470 .seealso: DMPlexCreateBoxMesh(), DMPlexCreateSquareBoundary(), DMPlexCreateCubeBoundary(), DMSetType(), DMCreate()
471 @*/
472 PetscErrorCode DMPlexCreateSquareMesh(DM dm, const PetscReal lower[], const PetscReal upper[], const PetscInt edges[], DMBoundaryType bdX, DMBoundaryType bdY)
473 {
474   PetscInt       markerTop      = 1;
475   PetscInt       markerBottom   = 1;
476   PetscInt       markerRight    = 1;
477   PetscInt       markerLeft     = 1;
478   PetscBool      markerSeparate = PETSC_FALSE;
479   PetscMPIInt    rank;
480   PetscErrorCode ierr;
481 
482   PetscFunctionBegin;
483   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)dm), &rank);CHKERRQ(ierr);
484   ierr = PetscOptionsGetBool(((PetscObject) dm)->prefix, "-dm_plex_separate_marker", &markerSeparate, NULL);CHKERRQ(ierr);
485   if (markerSeparate) {
486     markerTop    = 3;
487     markerBottom = 1;
488     markerRight  = 2;
489     markerLeft   = 4;
490   }
491   {
492     const PetscInt numXEdges    = !rank ? edges[0]   : 0;
493     const PetscInt numYEdges    = !rank ? edges[1]   : 0;
494     const PetscInt numXVertices = !rank ? (bdX == DM_BOUNDARY_PERIODIC || bdX == DM_BOUNDARY_TWIST ? edges[0] : edges[0]+1) : 0;
495     const PetscInt numYVertices = !rank ? (bdY == DM_BOUNDARY_PERIODIC || bdY == DM_BOUNDARY_TWIST ? edges[1] : edges[1]+1) : 0;
496     const PetscInt numTotXEdges = numXEdges*numYVertices;
497     const PetscInt numTotYEdges = numYEdges*numXVertices;
498     const PetscInt numVertices  = numXVertices*numYVertices;
499     const PetscInt numEdges     = numTotXEdges + numTotYEdges;
500     const PetscInt numFaces     = numXEdges*numYEdges;
501     const PetscInt firstVertex  = numFaces;
502     const PetscInt firstXEdge   = numFaces + numVertices;
503     const PetscInt firstYEdge   = numFaces + numVertices + numTotXEdges;
504     Vec            coordinates;
505     PetscSection   coordSection;
506     PetscScalar   *coords;
507     PetscInt       coordSize;
508     PetscInt       v, vx, vy;
509     PetscInt       f, fx, fy, e, ex, ey;
510 
511     ierr = DMPlexSetChart(dm, 0, numFaces+numEdges+numVertices);CHKERRQ(ierr);
512     for (f = 0; f < numFaces; ++f) {
513       ierr = DMPlexSetConeSize(dm, f, 4);CHKERRQ(ierr);
514     }
515     for (e = firstXEdge; e < firstXEdge+numEdges; ++e) {
516       ierr = DMPlexSetConeSize(dm, e, 2);CHKERRQ(ierr);
517     }
518     ierr = DMSetUp(dm);CHKERRQ(ierr); /* Allocate space for cones */
519     /* Build faces */
520     for (fy = 0; fy < numYEdges; ++fy) {
521       for (fx = 0; fx < numXEdges; ++fx) {
522         PetscInt face    = fy*numXEdges + fx;
523         PetscInt edgeL   = firstYEdge +   fx                 *numYEdges + fy;
524         PetscInt edgeR   = firstYEdge + ((fx+1)%numXVertices)*numYEdges + fy;
525         PetscInt edgeB   = firstXEdge +   fy                 *numXEdges + fx;
526         PetscInt edgeT   = firstXEdge + ((fy+1)%numYVertices)*numXEdges + fx;
527         PetscInt ornt[4] = {0, 0, -2, -2};
528         PetscInt cone[4];
529 
530         if (bdX == DM_BOUNDARY_TWIST && fx == numXEdges-1) {edgeR += numYEdges-1-2*fy; ornt[1] = -2;}
531         if (bdY == DM_BOUNDARY_TWIST && fy == numYEdges-1) {edgeT += numXEdges-1-2*fx; ornt[2] =  0;}
532         cone[0] = edgeB; cone[1] = edgeR; cone[2] = edgeT; cone[3] = edgeL;
533         ierr    = DMPlexSetCone(dm, face, cone);CHKERRQ(ierr);
534         ierr    = DMPlexSetConeOrientation(dm, face, ornt);CHKERRQ(ierr);
535       }
536     }
537     /* Build Y edges*/
538     for (vx = 0; vx < numXVertices; vx++) {
539       for (ey = 0; ey < numYEdges; ey++) {
540         const PetscInt nextv   = (bdY == DM_BOUNDARY_TWIST && ey == numYEdges-1) ? (numXVertices-vx-1) : ((ey+1)%numYVertices)*numXVertices + vx;
541         const PetscInt edge    = firstYEdge  + vx*numYEdges + ey;
542         const PetscInt vertexB = firstVertex + ey*numXVertices + vx;
543         const PetscInt vertexT = firstVertex + nextv;
544         PetscInt       cone[2];
545 
546         cone[0] = vertexB; cone[1] = vertexT;
547         ierr = DMPlexSetCone(dm, edge, cone);CHKERRQ(ierr);
548         if ((bdX != DM_BOUNDARY_PERIODIC) && (bdX != DM_BOUNDARY_TWIST)) {
549           if (vx == numXVertices-1) {
550             ierr = DMPlexSetLabelValue(dm, "marker", edge,    markerRight);CHKERRQ(ierr);
551             ierr = DMPlexSetLabelValue(dm, "marker", cone[0], markerRight);CHKERRQ(ierr);
552             if (ey == numYEdges-1) {
553               ierr = DMPlexSetLabelValue(dm, "marker", cone[1], markerRight);CHKERRQ(ierr);
554             }
555           } else if (vx == 0) {
556             ierr = DMPlexSetLabelValue(dm, "marker", edge,    markerLeft);CHKERRQ(ierr);
557             ierr = DMPlexSetLabelValue(dm, "marker", cone[0], markerLeft);CHKERRQ(ierr);
558             if (ey == numYEdges-1) {
559               ierr = DMPlexSetLabelValue(dm, "marker", cone[1], markerLeft);CHKERRQ(ierr);
560             }
561           }
562         }
563       }
564     }
565     /* Build X edges*/
566     for (vy = 0; vy < numYVertices; vy++) {
567       for (ex = 0; ex < numXEdges; ex++) {
568         const PetscInt nextv   = (bdX == DM_BOUNDARY_TWIST && ex == numXEdges-1) ? (numYVertices-vy-1)*numXVertices : vy*numXVertices + (ex+1)%numXVertices;
569         const PetscInt edge    = firstXEdge  + vy*numXEdges + ex;
570         const PetscInt vertexL = firstVertex + vy*numXVertices + ex;
571         const PetscInt vertexR = firstVertex + nextv;
572         PetscInt       cone[2];
573 
574         cone[0] = vertexL; cone[1] = vertexR;
575         ierr = DMPlexSetCone(dm, edge, cone);CHKERRQ(ierr);
576         if ((bdY != DM_BOUNDARY_PERIODIC) && (bdY != DM_BOUNDARY_TWIST)) {
577           if (vy == numYVertices-1) {
578             ierr = DMPlexSetLabelValue(dm, "marker", edge,    markerTop);CHKERRQ(ierr);
579             ierr = DMPlexSetLabelValue(dm, "marker", cone[0], markerTop);CHKERRQ(ierr);
580             if (ex == numXEdges-1) {
581               ierr = DMPlexSetLabelValue(dm, "marker", cone[1], markerTop);CHKERRQ(ierr);
582             }
583           } else if (vy == 0) {
584             ierr = DMPlexSetLabelValue(dm, "marker", edge,    markerBottom);CHKERRQ(ierr);
585             ierr = DMPlexSetLabelValue(dm, "marker", cone[0], markerBottom);CHKERRQ(ierr);
586             if (ex == numXEdges-1) {
587               ierr = DMPlexSetLabelValue(dm, "marker", cone[1], markerBottom);CHKERRQ(ierr);
588             }
589           }
590         }
591       }
592     }
593     ierr = DMPlexSymmetrize(dm);CHKERRQ(ierr);
594     ierr = DMPlexStratify(dm);CHKERRQ(ierr);
595     /* Build coordinates */
596     ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
597     ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr);
598     ierr = PetscSectionSetFieldComponents(coordSection, 0, 2);CHKERRQ(ierr);
599     ierr = PetscSectionSetChart(coordSection, firstVertex, firstVertex+numVertices);CHKERRQ(ierr);
600     for (v = firstVertex; v < firstVertex+numVertices; ++v) {
601       ierr = PetscSectionSetDof(coordSection, v, 2);CHKERRQ(ierr);
602       ierr = PetscSectionSetFieldDof(coordSection, v, 0, 2);CHKERRQ(ierr);
603     }
604     ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr);
605     ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr);
606     ierr = VecCreate(PetscObjectComm((PetscObject)dm), &coordinates);CHKERRQ(ierr);
607     ierr = VecSetBlockSize(coordinates, 2);CHKERRQ(ierr);
608     ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr);
609     ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr);
610     ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
611     for (vy = 0; vy < numYVertices; ++vy) {
612       for (vx = 0; vx < numXVertices; ++vx) {
613         coords[(vy*numXVertices+vx)*2+0] = lower[0] + ((upper[0] - lower[0])/numXEdges)*vx;
614         coords[(vy*numXVertices+vx)*2+1] = lower[1] + ((upper[1] - lower[1])/numYEdges)*vy;
615       }
616     }
617     ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
618     ierr = DMSetCoordinatesLocal(dm, coordinates);CHKERRQ(ierr);
619     ierr = VecDestroy(&coordinates);CHKERRQ(ierr);
620   }
621   PetscFunctionReturn(0);
622 }
623 
624 #undef __FUNCT__
625 #define __FUNCT__ "DMPlexCreateBoxMesh"
626 /*@
627   DMPlexCreateBoxMesh - Creates a mesh on the tensor product of unit intervals (box) using simplices.
628 
629   Collective on MPI_Comm
630 
631   Input Parameters:
632 + comm - The communicator for the DM object
633 . dim - The spatial dimension
634 - interpolate - Flag to create intermediate mesh pieces (edges, faces)
635 
636   Output Parameter:
637 . dm  - The DM object
638 
639   Level: beginner
640 
641 .keywords: DM, create
642 .seealso: DMPlexCreateHexBoxMesh(), DMSetType(), DMCreate()
643 @*/
644 PetscErrorCode DMPlexCreateBoxMesh(MPI_Comm comm, PetscInt dim, PetscBool interpolate, DM *dm)
645 {
646   DM             boundary;
647   PetscErrorCode ierr;
648 
649   PetscFunctionBegin;
650   PetscValidPointer(dm, 4);
651   ierr = DMCreate(comm, &boundary);CHKERRQ(ierr);
652   PetscValidLogicalCollectiveInt(boundary,dim,2);
653   ierr = DMSetType(boundary, DMPLEX);CHKERRQ(ierr);
654   ierr = DMSetDimension(boundary, dim-1);CHKERRQ(ierr);
655   switch (dim) {
656   case 2:
657   {
658     PetscReal lower[2] = {0.0, 0.0};
659     PetscReal upper[2] = {1.0, 1.0};
660     PetscInt  edges[2] = {2, 2};
661 
662     ierr = DMPlexCreateSquareBoundary(boundary, lower, upper, edges);CHKERRQ(ierr);
663     break;
664   }
665   case 3:
666   {
667     PetscReal lower[3] = {0.0, 0.0, 0.0};
668     PetscReal upper[3] = {1.0, 1.0, 1.0};
669     PetscInt  faces[3] = {1, 1, 1};
670 
671     ierr = DMPlexCreateCubeBoundary(boundary, lower, upper, faces);CHKERRQ(ierr);
672     break;
673   }
674   default:
675     SETERRQ1(comm, PETSC_ERR_SUP, "Dimension not supported: %d", dim);
676   }
677   ierr = DMPlexGenerate(boundary, NULL, interpolate, dm);CHKERRQ(ierr);
678   ierr = DMDestroy(&boundary);CHKERRQ(ierr);
679   PetscFunctionReturn(0);
680 }
681 
682 #undef __FUNCT__
683 #define __FUNCT__ "DMPlexCreateHexBoxMesh"
684 /*@
685   DMPlexCreateHexBoxMesh - Creates a mesh on the tensor product of unit intervals (box) using hexahedra.
686 
687   Collective on MPI_Comm
688 
689   Input Parameters:
690 + comm  - The communicator for the DM object
691 . dim   - The spatial dimension
692 . periodicX - The boundary type for the X direction
693 . periodicY - The boundary type for the Y direction
694 . periodicZ - The boundary type for the Z direction
695 - cells - The number of cells in each direction
696 
697   Output Parameter:
698 . dm  - The DM object
699 
700   Level: beginner
701 
702 .keywords: DM, create
703 .seealso: DMPlexCreateBoxMesh(), DMSetType(), DMCreate()
704 @*/
705 PetscErrorCode DMPlexCreateHexBoxMesh(MPI_Comm comm, PetscInt dim, const PetscInt cells[], DMBoundaryType periodicX, DMBoundaryType periodicY, DMBoundaryType periodicZ, DM *dm)
706 {
707   PetscErrorCode ierr;
708 
709   PetscFunctionBegin;
710   PetscValidPointer(dm, 4);
711   ierr = DMCreate(comm, dm);CHKERRQ(ierr);
712   PetscValidLogicalCollectiveInt(*dm,dim,2);
713   ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr);
714   ierr = DMSetDimension(*dm, dim);CHKERRQ(ierr);
715   switch (dim) {
716   case 2:
717   {
718     PetscReal lower[2] = {0.0, 0.0};
719     PetscReal upper[2] = {1.0, 1.0};
720 
721     ierr = DMPlexCreateSquareMesh(*dm, lower, upper, cells, periodicX, periodicY);CHKERRQ(ierr);
722     break;
723   }
724 #if 0
725   case 3:
726   {
727     PetscReal lower[3] = {0.0, 0.0, 0.0};
728     PetscReal upper[3] = {1.0, 1.0, 1.0};
729 
730     ierr = DMPlexCreateCubeMesh(boundary, lower, upper, cells, periodicX, periodicY, periodicZ);CHKERRQ(ierr);
731     break;
732   }
733 #endif
734   default:
735     SETERRQ1(comm, PETSC_ERR_SUP, "Dimension not supported: %d", dim);
736   }
737   PetscFunctionReturn(0);
738 }
739 
740 /* External function declarations here */
741 extern PetscErrorCode DMCreateInterpolation_Plex(DM dmCoarse, DM dmFine, Mat *interpolation, Vec *scaling);
742 extern PetscErrorCode DMCreateInjection_Plex(DM dmCoarse, DM dmFine, VecScatter *ctx);
743 extern PetscErrorCode DMCreateDefaultSection_Plex(DM dm);
744 extern PetscErrorCode DMCreateMatrix_Plex(DM dm,  Mat *J);
745 extern PetscErrorCode DMCreateCoordinateDM_Plex(DM dm, DM *cdm);
746 extern PetscErrorCode DMRefine_Plex(DM dm, MPI_Comm comm, DM *dmRefined);
747 extern PetscErrorCode DMCoarsen_Plex(DM dm, MPI_Comm comm, DM *dmCoarsened);
748 extern PetscErrorCode DMRefineHierarchy_Plex(DM dm, PetscInt nlevels, DM dmRefined[]);
749 extern PetscErrorCode DMClone_Plex(DM dm, DM *newdm);
750 extern PetscErrorCode DMSetUp_Plex(DM dm);
751 extern PetscErrorCode DMDestroy_Plex(DM dm);
752 extern PetscErrorCode DMView_Plex(DM dm, PetscViewer viewer);
753 extern PetscErrorCode DMLoad_Plex(DM dm, PetscViewer viewer);
754 extern PetscErrorCode DMCreateSubDM_Plex(DM dm, PetscInt numFields, PetscInt fields[], IS *is, DM *subdm);
755 extern PetscErrorCode DMLocatePoints_Plex(DM dm, Vec v, IS *cellIS);
756 
757 #undef __FUNCT__
758 #define __FUNCT__ "DMPlexReplace_Static"
759 /* Replace dm with the contents of dmNew
760    - Share the DM_Plex structure
761    - Share the coordinates
762    - Share the SF
763 */
764 static PetscErrorCode DMPlexReplace_Static(DM dm, DM dmNew)
765 {
766   PetscSF          sf;
767   DM               coordDM;
768   Vec              coords;
769   const PetscReal *maxCell, *L;
770   PetscErrorCode   ierr;
771 
772   PetscFunctionBegin;
773   ierr = DMGetPointSF(dmNew, &sf);CHKERRQ(ierr);
774   ierr = DMSetPointSF(dm, sf);CHKERRQ(ierr);
775   ierr = DMGetCoordinateDM(dmNew, &coordDM);CHKERRQ(ierr);
776   ierr = DMGetCoordinatesLocal(dmNew, &coords);CHKERRQ(ierr);
777   ierr = DMSetCoordinateDM(dm, coordDM);CHKERRQ(ierr);
778   ierr = DMSetCoordinatesLocal(dm, coords);CHKERRQ(ierr);
779   ierr = DMGetPeriodicity(dm, &maxCell, &L);CHKERRQ(ierr);
780   if (L) {ierr = DMSetPeriodicity(dmNew, maxCell, L);CHKERRQ(ierr);}
781   ierr = DMDestroy_Plex(dm);CHKERRQ(ierr);
782   dm->data = dmNew->data;
783   ((DM_Plex *) dmNew->data)->refct++;
784   PetscFunctionReturn(0);
785 }
786 
787 #undef __FUNCT__
788 #define __FUNCT__ "DMPlexSwap_Static"
789 /* Swap dm with the contents of dmNew
790    - Swap the DM_Plex structure
791    - Swap the coordinates
792 */
793 static PetscErrorCode DMPlexSwap_Static(DM dmA, DM dmB)
794 {
795   DM             coordDMA, coordDMB;
796   Vec            coordsA,  coordsB;
797   void          *tmp;
798   PetscErrorCode ierr;
799 
800   PetscFunctionBegin;
801   ierr = DMGetCoordinateDM(dmA, &coordDMA);CHKERRQ(ierr);
802   ierr = DMGetCoordinateDM(dmB, &coordDMB);CHKERRQ(ierr);
803   ierr = PetscObjectReference((PetscObject) coordDMA);CHKERRQ(ierr);
804   ierr = DMSetCoordinateDM(dmA, coordDMB);CHKERRQ(ierr);
805   ierr = DMSetCoordinateDM(dmB, coordDMA);CHKERRQ(ierr);
806   ierr = PetscObjectDereference((PetscObject) coordDMA);CHKERRQ(ierr);
807 
808   ierr = DMGetCoordinatesLocal(dmA, &coordsA);CHKERRQ(ierr);
809   ierr = DMGetCoordinatesLocal(dmB, &coordsB);CHKERRQ(ierr);
810   ierr = PetscObjectReference((PetscObject) coordsA);CHKERRQ(ierr);
811   ierr = DMSetCoordinatesLocal(dmA, coordsB);CHKERRQ(ierr);
812   ierr = DMSetCoordinatesLocal(dmB, coordsA);CHKERRQ(ierr);
813   ierr = PetscObjectDereference((PetscObject) coordsA);CHKERRQ(ierr);
814   tmp       = dmA->data;
815   dmA->data = dmB->data;
816   dmB->data = tmp;
817   PetscFunctionReturn(0);
818 }
819 
820 #undef __FUNCT__
821 #define __FUNCT__ "DMSetFromOptions_NonRefinement_Plex"
822 PetscErrorCode  DMSetFromOptions_NonRefinement_Plex(DM dm)
823 {
824   DM_Plex       *mesh = (DM_Plex*) dm->data;
825   DMBoundary     b;
826   PetscErrorCode ierr;
827 
828   PetscFunctionBegin;
829   /* Handle boundary conditions */
830   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject) dm), NULL, "Boundary condition options", "");CHKERRQ(ierr);
831   for (b = mesh->boundary; b; b = b->next) {
832     char      optname[1024];
833     PetscInt  ids[1024], len = 1024, i;
834     PetscBool flg;
835 
836     ierr = PetscSNPrintf(optname, sizeof(optname), "-bc_%s", b->name);CHKERRQ(ierr);
837     ierr = PetscMemzero(ids, sizeof(ids));CHKERRQ(ierr);
838     ierr = PetscOptionsIntArray(optname, "List of boundary IDs", "", ids, &len, &flg);CHKERRQ(ierr);
839     if (flg) {
840       DMLabel label;
841 
842       ierr = DMPlexGetLabel(dm, b->labelname, &label);CHKERRQ(ierr);
843       for (i = 0; i < len; ++i) {
844         PetscBool has;
845 
846         ierr = DMLabelHasValue(label, ids[i], &has);CHKERRQ(ierr);
847         if (!has) SETERRQ2(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_WRONG, "Boundary id %D is not present in the label %s", ids[i], b->name);
848       }
849       b->numids = len;
850       ierr = PetscFree(b->ids);CHKERRQ(ierr);
851       ierr = PetscMalloc1(len, &b->ids);CHKERRQ(ierr);
852       ierr = PetscMemcpy(b->ids, ids, len*sizeof(PetscInt));CHKERRQ(ierr);
853     }
854   }
855   ierr = PetscOptionsEnd();CHKERRQ(ierr);
856   /* Handle viewing */
857   ierr = PetscOptionsBool("-dm_plex_print_set_values", "Output all set values info", "DMView", PETSC_FALSE, &mesh->printSetValues, NULL);CHKERRQ(ierr);
858   ierr = PetscOptionsInt("-dm_plex_print_fem", "Debug output level all fem computations", "DMView", 0, &mesh->printFEM, NULL);CHKERRQ(ierr);
859   ierr = PetscOptionsReal("-dm_plex_print_tol", "Tolerance for FEM output", "DMView", PETSC_FALSE, &mesh->printTol, NULL);CHKERRQ(ierr);
860   PetscFunctionReturn(0);
861 }
862 
863 #undef __FUNCT__
864 #define __FUNCT__ "DMSetFromOptions_Plex"
865 PetscErrorCode  DMSetFromOptions_Plex(DM dm)
866 {
867   PetscInt       refine = 0, r;
868   PetscBool      isHierarchy;
869   PetscErrorCode ierr;
870 
871   PetscFunctionBegin;
872   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
873   ierr = PetscOptionsHead("DMPlex Options");CHKERRQ(ierr);
874   /* Handle DMPlex refinement */
875   ierr = PetscOptionsInt("-dm_refine", "The number of uniform refinements", "DMCreate", refine, &refine, NULL);CHKERRQ(ierr);
876   ierr = PetscOptionsInt("-dm_refine_hierarchy", "The number of uniform refinements", "DMCreate", refine, &refine, &isHierarchy);CHKERRQ(ierr);
877   if (refine) {ierr = DMPlexSetRefinementUniform(dm, PETSC_TRUE);CHKERRQ(ierr);}
878   if (refine && isHierarchy) {
879     DM *dms;
880 
881     ierr = PetscMalloc1(refine,&dms);CHKERRQ(ierr);
882     ierr = DMRefineHierarchy(dm, refine, dms);CHKERRQ(ierr);
883     /* Total hack since we do not pass in a pointer */
884     ierr = DMPlexSwap_Static(dm, dms[refine-1]);CHKERRQ(ierr);
885     if (refine == 1) {
886       ierr = DMPlexSetCoarseDM(dm, dms[0]);CHKERRQ(ierr);
887     } else {
888       ierr = DMPlexSetCoarseDM(dm, dms[refine-2]);CHKERRQ(ierr);
889       ierr = DMPlexSetCoarseDM(dms[0], dms[refine-1]);CHKERRQ(ierr);
890     }
891     /* Free DMs */
892     for (r = 0; r < refine; ++r) {
893       ierr = DMSetFromOptions_NonRefinement_Plex(dm);CHKERRQ(ierr);
894       ierr = DMDestroy(&dms[r]);CHKERRQ(ierr);
895     }
896     ierr = PetscFree(dms);CHKERRQ(ierr);
897   } else {
898     for (r = 0; r < refine; ++r) {
899       DM refinedMesh;
900 
901       ierr = DMSetFromOptions_NonRefinement_Plex(dm);CHKERRQ(ierr);
902       ierr = DMRefine(dm, PetscObjectComm((PetscObject) dm), &refinedMesh);CHKERRQ(ierr);
903       /* Total hack since we do not pass in a pointer */
904       ierr = DMPlexReplace_Static(dm, refinedMesh);CHKERRQ(ierr);
905       ierr = DMDestroy(&refinedMesh);CHKERRQ(ierr);
906     }
907   }
908   ierr = DMSetFromOptions_NonRefinement_Plex(dm);CHKERRQ(ierr);
909   ierr = PetscOptionsTail();CHKERRQ(ierr);
910   PetscFunctionReturn(0);
911 }
912 
913 #undef __FUNCT__
914 #define __FUNCT__ "DMCreateGlobalVector_Plex"
915 static PetscErrorCode DMCreateGlobalVector_Plex(DM dm,Vec *vec)
916 {
917   PetscErrorCode ierr;
918 
919   PetscFunctionBegin;
920   ierr = DMCreateGlobalVector_Section_Private(dm,vec);CHKERRQ(ierr);
921   /* ierr = VecSetOperation(*vec, VECOP_DUPLICATE, (void(*)(void)) VecDuplicate_MPI_DM);CHKERRQ(ierr); */
922   ierr = VecSetOperation(*vec, VECOP_VIEW, (void (*)(void)) VecView_Plex);CHKERRQ(ierr);
923   ierr = VecSetOperation(*vec, VECOP_LOAD, (void (*)(void)) VecLoad_Plex);CHKERRQ(ierr);
924   PetscFunctionReturn(0);
925 }
926 
927 #undef __FUNCT__
928 #define __FUNCT__ "DMCreateLocalVector_Plex"
929 static PetscErrorCode DMCreateLocalVector_Plex(DM dm,Vec *vec)
930 {
931   PetscErrorCode ierr;
932 
933   PetscFunctionBegin;
934   ierr = DMCreateLocalVector_Section_Private(dm,vec);CHKERRQ(ierr);
935   ierr = VecSetOperation(*vec, VECOP_VIEW, (void (*)(void)) VecView_Plex_Local);CHKERRQ(ierr);
936   ierr = VecSetOperation(*vec, VECOP_LOAD, (void (*)(void)) VecLoad_Plex_Local);CHKERRQ(ierr);
937   PetscFunctionReturn(0);
938 }
939 
940 #undef __FUNCT__
941 #define __FUNCT__ "DMGetDimPoints_Plex"
942 static PetscErrorCode DMGetDimPoints_Plex(DM dm, PetscInt dim, PetscInt *pStart, PetscInt *pEnd)
943 {
944   PetscInt       depth, d;
945   PetscErrorCode ierr;
946 
947   PetscFunctionBegin;
948   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
949   if (depth == 1) {
950     ierr = DMGetDimension(dm, &d);CHKERRQ(ierr);
951     if (dim == 0)      {ierr = DMPlexGetDepthStratum(dm, dim, pStart, pEnd);CHKERRQ(ierr);}
952     else if (dim == d) {ierr = DMPlexGetDepthStratum(dm, 1, pStart, pEnd);CHKERRQ(ierr);}
953     else               {*pStart = 0; *pEnd = 0;}
954   } else {
955     ierr = DMPlexGetDepthStratum(dm, dim, pStart, pEnd);CHKERRQ(ierr);
956   }
957   PetscFunctionReturn(0);
958 }
959 
960 #undef __FUNCT__
961 #define __FUNCT__ "DMInitialize_Plex"
962 PetscErrorCode DMInitialize_Plex(DM dm)
963 {
964   PetscFunctionBegin;
965   dm->ops->view                            = DMView_Plex;
966   dm->ops->load                            = DMLoad_Plex;
967   dm->ops->setfromoptions                  = DMSetFromOptions_Plex;
968   dm->ops->clone                           = DMClone_Plex;
969   dm->ops->setup                           = DMSetUp_Plex;
970   dm->ops->createdefaultsection            = DMCreateDefaultSection_Plex;
971   dm->ops->createglobalvector              = DMCreateGlobalVector_Plex;
972   dm->ops->createlocalvector               = DMCreateLocalVector_Plex;
973   dm->ops->getlocaltoglobalmapping         = NULL;
974   dm->ops->createfieldis                   = NULL;
975   dm->ops->createcoordinatedm              = DMCreateCoordinateDM_Plex;
976   dm->ops->getcoloring                     = NULL;
977   dm->ops->creatematrix                    = DMCreateMatrix_Plex;
978   dm->ops->createinterpolation             = DMCreateInterpolation_Plex;
979   dm->ops->getaggregates                   = NULL;
980   dm->ops->getinjection                    = DMCreateInjection_Plex;
981   dm->ops->refine                          = DMRefine_Plex;
982   dm->ops->coarsen                         = DMCoarsen_Plex;
983   dm->ops->refinehierarchy                 = DMRefineHierarchy_Plex;
984   dm->ops->coarsenhierarchy                = NULL;
985   dm->ops->globaltolocalbegin              = NULL;
986   dm->ops->globaltolocalend                = NULL;
987   dm->ops->localtoglobalbegin              = NULL;
988   dm->ops->localtoglobalend                = NULL;
989   dm->ops->destroy                         = DMDestroy_Plex;
990   dm->ops->createsubdm                     = DMCreateSubDM_Plex;
991   dm->ops->getdimpoints                    = DMGetDimPoints_Plex;
992   dm->ops->locatepoints                    = DMLocatePoints_Plex;
993   PetscFunctionReturn(0);
994 }
995 
996 #undef __FUNCT__
997 #define __FUNCT__ "DMClone_Plex"
998 PetscErrorCode DMClone_Plex(DM dm, DM *newdm)
999 {
1000   DM_Plex        *mesh = (DM_Plex *) dm->data;
1001   PetscErrorCode ierr;
1002 
1003   PetscFunctionBegin;
1004   mesh->refct++;
1005   (*newdm)->data = mesh;
1006   ierr = PetscObjectChangeTypeName((PetscObject) *newdm, DMPLEX);CHKERRQ(ierr);
1007   ierr = DMInitialize_Plex(*newdm);CHKERRQ(ierr);
1008   PetscFunctionReturn(0);
1009 }
1010 
1011 /*MC
1012   DMPLEX = "plex" - A DM object that encapsulates an unstructured mesh, or CW Complex, which can be expressed using a Hasse Diagram.
1013                     In the local representation, Vecs contain all unknowns in the interior and shared boundary. This is
1014                     specified by a PetscSection object. Ownership in the global representation is determined by
1015                     ownership of the underlying DMPlex points. This is specified by another PetscSection object.
1016 
1017   Level: intermediate
1018 
1019 .seealso: DMType, DMPlexCreate(), DMCreate(), DMSetType()
1020 M*/
1021 
1022 #undef __FUNCT__
1023 #define __FUNCT__ "DMCreate_Plex"
1024 PETSC_EXTERN PetscErrorCode DMCreate_Plex(DM dm)
1025 {
1026   DM_Plex        *mesh;
1027   PetscInt       unit, d;
1028   PetscErrorCode ierr;
1029 
1030   PetscFunctionBegin;
1031   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
1032   ierr     = PetscNewLog(dm,&mesh);CHKERRQ(ierr);
1033   dm->dim  = 0;
1034   dm->data = mesh;
1035 
1036   mesh->refct             = 1;
1037   ierr                    = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &mesh->coneSection);CHKERRQ(ierr);
1038   mesh->maxConeSize       = 0;
1039   mesh->cones             = NULL;
1040   mesh->coneOrientations  = NULL;
1041   ierr                    = PetscSectionCreate(PetscObjectComm((PetscObject)dm), &mesh->supportSection);CHKERRQ(ierr);
1042   mesh->maxSupportSize    = 0;
1043   mesh->supports          = NULL;
1044   mesh->refinementUniform = PETSC_TRUE;
1045   mesh->refinementLimit   = -1.0;
1046 
1047   mesh->facesTmp = NULL;
1048 
1049   mesh->subpointMap = NULL;
1050 
1051   for (unit = 0; unit < NUM_PETSC_UNITS; ++unit) mesh->scale[unit] = 1.0;
1052 
1053   mesh->labels              = NULL;
1054   mesh->depthLabel          = NULL;
1055   mesh->globalVertexNumbers = NULL;
1056   mesh->globalCellNumbers   = NULL;
1057   for (d = 0; d < 8; ++d) mesh->hybridPointMax[d] = PETSC_DETERMINE;
1058   mesh->vtkCellHeight       = 0;
1059   mesh->useCone             = PETSC_FALSE;
1060   mesh->useClosure          = PETSC_TRUE;
1061 
1062   mesh->printSetValues = PETSC_FALSE;
1063   mesh->printFEM       = 0;
1064   mesh->printTol       = 1.0e-10;
1065 
1066   ierr = DMInitialize_Plex(dm);CHKERRQ(ierr);
1067   PetscFunctionReturn(0);
1068 }
1069 
1070 #undef __FUNCT__
1071 #define __FUNCT__ "DMPlexCreate"
1072 /*@
1073   DMPlexCreate - Creates a DMPlex object, which encapsulates an unstructured mesh, or CW complex, which can be expressed using a Hasse Diagram.
1074 
1075   Collective on MPI_Comm
1076 
1077   Input Parameter:
1078 . comm - The communicator for the DMPlex object
1079 
1080   Output Parameter:
1081 . mesh  - The DMPlex object
1082 
1083   Level: beginner
1084 
1085 .keywords: DMPlex, create
1086 @*/
1087 PetscErrorCode DMPlexCreate(MPI_Comm comm, DM *mesh)
1088 {
1089   PetscErrorCode ierr;
1090 
1091   PetscFunctionBegin;
1092   PetscValidPointer(mesh,2);
1093   ierr = DMCreate(comm, mesh);CHKERRQ(ierr);
1094   ierr = DMSetType(*mesh, DMPLEX);CHKERRQ(ierr);
1095   PetscFunctionReturn(0);
1096 }
1097 
1098 #undef __FUNCT__
1099 #define __FUNCT__ "DMPlexBuildFromCellList_Private"
1100 /*
1101   This takes as input the common mesh generator output, a list of the vertices for each cell
1102 */
1103 PetscErrorCode DMPlexBuildFromCellList_Private(DM dm, PetscInt numCells, PetscInt numVertices, PetscInt numCorners, const int cells[])
1104 {
1105   PetscInt      *cone, c, p;
1106   PetscErrorCode ierr;
1107 
1108   PetscFunctionBegin;
1109   ierr = DMPlexSetChart(dm, 0, numCells+numVertices);CHKERRQ(ierr);
1110   for (c = 0; c < numCells; ++c) {
1111     ierr = DMPlexSetConeSize(dm, c, numCorners);CHKERRQ(ierr);
1112   }
1113   ierr = DMSetUp(dm);CHKERRQ(ierr);
1114   ierr = DMGetWorkArray(dm, numCorners, PETSC_INT, &cone);CHKERRQ(ierr);
1115   for (c = 0; c < numCells; ++c) {
1116     for (p = 0; p < numCorners; ++p) {
1117       cone[p] = cells[c*numCorners+p]+numCells;
1118     }
1119     ierr = DMPlexSetCone(dm, c, cone);CHKERRQ(ierr);
1120   }
1121   ierr = DMRestoreWorkArray(dm, numCorners, PETSC_INT, &cone);CHKERRQ(ierr);
1122   ierr = DMPlexSymmetrize(dm);CHKERRQ(ierr);
1123   ierr = DMPlexStratify(dm);CHKERRQ(ierr);
1124   PetscFunctionReturn(0);
1125 }
1126 
1127 #undef __FUNCT__
1128 #define __FUNCT__ "DMPlexBuildCoordinates_Private"
1129 /*
1130   This takes as input the coordinates for each vertex
1131 */
1132 PetscErrorCode DMPlexBuildCoordinates_Private(DM dm, PetscInt spaceDim, PetscInt numCells, PetscInt numVertices, const double vertexCoords[])
1133 {
1134   PetscSection   coordSection;
1135   Vec            coordinates;
1136   PetscScalar   *coords;
1137   PetscInt       coordSize, v, d;
1138   PetscErrorCode ierr;
1139 
1140   PetscFunctionBegin;
1141   ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
1142   ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr);
1143   ierr = PetscSectionSetFieldComponents(coordSection, 0, spaceDim);CHKERRQ(ierr);
1144   ierr = PetscSectionSetChart(coordSection, numCells, numCells + numVertices);CHKERRQ(ierr);
1145   for (v = numCells; v < numCells+numVertices; ++v) {
1146     ierr = PetscSectionSetDof(coordSection, v, spaceDim);CHKERRQ(ierr);
1147     ierr = PetscSectionSetFieldDof(coordSection, v, 0, spaceDim);CHKERRQ(ierr);
1148   }
1149   ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr);
1150   ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr);
1151   ierr = VecCreate(PetscObjectComm((PetscObject)dm), &coordinates);CHKERRQ(ierr);
1152   ierr = VecSetBlockSize(coordinates, spaceDim);CHKERRQ(ierr);
1153   ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr);
1154   ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr);
1155   ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr);
1156   ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
1157   for (v = 0; v < numVertices; ++v) {
1158     for (d = 0; d < spaceDim; ++d) {
1159       coords[v*spaceDim+d] = vertexCoords[v*spaceDim+d];
1160     }
1161   }
1162   ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
1163   ierr = DMSetCoordinatesLocal(dm, coordinates);CHKERRQ(ierr);
1164   ierr = VecDestroy(&coordinates);CHKERRQ(ierr);
1165   PetscFunctionReturn(0);
1166 }
1167 
1168 #undef __FUNCT__
1169 #define __FUNCT__ "DMPlexCreateFromCellList"
1170 /*@C
1171   DMPlexCreateFromCellList - This takes as input common mesh generator output, a list of the vertices for each cell, and produces a DM
1172 
1173   Input Parameters:
1174 + comm - The communicator
1175 . dim - The topological dimension of the mesh
1176 . numCells - The number of cells
1177 . numVertices - The number of vertices
1178 . numCorners - The number of vertices for each cell
1179 . interpolate - Flag indicating that intermediate mesh entities (faces, edges) should be created automatically
1180 . cells - An array of numCells*numCorners numbers, the vertices for each cell
1181 . spaceDim - The spatial dimension used for coordinates
1182 - vertexCoords - An array of numVertices*spaceDim numbers, the coordinates of each vertex
1183 
1184   Output Parameter:
1185 . dm - The DM
1186 
1187   Note: Two triangles sharing a face
1188 $
1189 $        2
1190 $      / | \
1191 $     /  |  \
1192 $    /   |   \
1193 $   0  0 | 1  3
1194 $    \   |   /
1195 $     \  |  /
1196 $      \ | /
1197 $        1
1198 would have input
1199 $  numCells = 2, numVertices = 4
1200 $  cells = [0 1 2  1 3 2]
1201 $
1202 which would result in the DMPlex
1203 $
1204 $        4
1205 $      / | \
1206 $     /  |  \
1207 $    /   |   \
1208 $   2  0 | 1  5
1209 $    \   |   /
1210 $     \  |  /
1211 $      \ | /
1212 $        3
1213 
1214   Level: beginner
1215 
1216 .seealso: DMPlexCreateFromDAG(), DMPlexCreate()
1217 @*/
1218 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)
1219 {
1220   PetscErrorCode ierr;
1221 
1222   PetscFunctionBegin;
1223   ierr = DMCreate(comm, dm);CHKERRQ(ierr);
1224   ierr = DMSetType(*dm, DMPLEX);CHKERRQ(ierr);
1225   ierr = DMSetDimension(*dm, dim);CHKERRQ(ierr);
1226   ierr = DMPlexBuildFromCellList_Private(*dm, numCells, numVertices, numCorners, cells);CHKERRQ(ierr);
1227   if (interpolate) {
1228     DM idm = NULL;
1229 
1230     ierr = DMPlexInterpolate(*dm, &idm);CHKERRQ(ierr);
1231     ierr = DMDestroy(dm);CHKERRQ(ierr);
1232     *dm  = idm;
1233   }
1234   ierr = DMPlexBuildCoordinates_Private(*dm, spaceDim, numCells, numVertices, vertexCoords);CHKERRQ(ierr);
1235   PetscFunctionReturn(0);
1236 }
1237 
1238 #undef __FUNCT__
1239 #define __FUNCT__ "DMPlexCreateFromDAG"
1240 /*@
1241   DMPlexCreateFromDAG - This takes as input the adjacency-list representation of the Directed Acyclic Graph (Hasse Diagram) encoding a mesh, and produces a DM
1242 
1243   Input Parameters:
1244 + dm - The empty DM object, usually from DMCreate() and DMSetDimension()
1245 . depth - The depth of the DAG
1246 . numPoints - The number of points at each depth
1247 . coneSize - The cone size of each point
1248 . cones - The concatenation of the cone points for each point, the cone list must be oriented correctly for each point
1249 . coneOrientations - The orientation of each cone point
1250 - vertexCoords - An array of numVertices*dim numbers, the coordinates of each vertex
1251 
1252   Output Parameter:
1253 . dm - The DM
1254 
1255   Note: Two triangles sharing a face would have input
1256 $  depth = 1, numPoints = [4 2], coneSize = [3 3 0 0 0 0]
1257 $  cones = [2 3 4  3 5 4], coneOrientations = [0 0 0  0 0 0]
1258 $ vertexCoords = [-1.0 0.0  0.0 -1.0  0.0 1.0  1.0 0.0]
1259 $
1260 which would result in the DMPlex
1261 $
1262 $        4
1263 $      / | \
1264 $     /  |  \
1265 $    /   |   \
1266 $   2  0 | 1  5
1267 $    \   |   /
1268 $     \  |  /
1269 $      \ | /
1270 $        3
1271 $
1272 $ Notice that all points are numbered consecutively, unlikely DMPlexCreateFromCellList()
1273 
1274   Level: advanced
1275 
1276 .seealso: DMPlexCreateFromCellList(), DMPlexCreate()
1277 @*/
1278 PetscErrorCode DMPlexCreateFromDAG(DM dm, PetscInt depth, const PetscInt numPoints[], const PetscInt coneSize[], const PetscInt cones[], const PetscInt coneOrientations[], const PetscScalar vertexCoords[])
1279 {
1280   Vec            coordinates;
1281   PetscSection   coordSection;
1282   PetscScalar    *coords;
1283   PetscInt       coordSize, firstVertex = numPoints[depth], pStart = 0, pEnd = 0, p, v, dim, d, off;
1284   PetscErrorCode ierr;
1285 
1286   PetscFunctionBegin;
1287   ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr);
1288   for (d = 0; d <= depth; ++d) pEnd += numPoints[d];
1289   ierr = DMPlexSetChart(dm, pStart, pEnd);CHKERRQ(ierr);
1290   for (p = pStart; p < pEnd; ++p) {
1291     ierr = DMPlexSetConeSize(dm, p, coneSize[p-pStart]);CHKERRQ(ierr);
1292   }
1293   ierr = DMSetUp(dm);CHKERRQ(ierr); /* Allocate space for cones */
1294   for (p = pStart, off = 0; p < pEnd; off += coneSize[p-pStart], ++p) {
1295     ierr = DMPlexSetCone(dm, p, &cones[off]);CHKERRQ(ierr);
1296     ierr = DMPlexSetConeOrientation(dm, p, &coneOrientations[off]);CHKERRQ(ierr);
1297   }
1298   ierr = DMPlexSymmetrize(dm);CHKERRQ(ierr);
1299   ierr = DMPlexStratify(dm);CHKERRQ(ierr);
1300   /* Build coordinates */
1301   ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
1302   ierr = PetscSectionSetNumFields(coordSection, 1);CHKERRQ(ierr);
1303   ierr = PetscSectionSetFieldComponents(coordSection, 0, dim);CHKERRQ(ierr);
1304   ierr = PetscSectionSetChart(coordSection, firstVertex, firstVertex+numPoints[0]);CHKERRQ(ierr);
1305   for (v = firstVertex; v < firstVertex+numPoints[0]; ++v) {
1306     ierr = PetscSectionSetDof(coordSection, v, dim);CHKERRQ(ierr);
1307     ierr = PetscSectionSetFieldDof(coordSection, v, 0, dim);CHKERRQ(ierr);
1308   }
1309   ierr = PetscSectionSetUp(coordSection);CHKERRQ(ierr);
1310   ierr = PetscSectionGetStorageSize(coordSection, &coordSize);CHKERRQ(ierr);
1311   ierr = VecCreate(PetscObjectComm((PetscObject)dm), &coordinates);CHKERRQ(ierr);
1312   ierr = VecSetBlockSize(coordinates, dim);CHKERRQ(ierr);
1313   ierr = PetscObjectSetName((PetscObject) coordinates, "coordinates");CHKERRQ(ierr);
1314   ierr = VecSetSizes(coordinates, coordSize, PETSC_DETERMINE);CHKERRQ(ierr);
1315   ierr = VecSetType(coordinates,VECSTANDARD);CHKERRQ(ierr);
1316   ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
1317   for (v = 0; v < numPoints[0]; ++v) {
1318     PetscInt off;
1319 
1320     ierr = PetscSectionGetOffset(coordSection, v+firstVertex, &off);CHKERRQ(ierr);
1321     for (d = 0; d < dim; ++d) {
1322       coords[off+d] = vertexCoords[v*dim+d];
1323     }
1324   }
1325   ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
1326   ierr = DMSetCoordinatesLocal(dm, coordinates);CHKERRQ(ierr);
1327   ierr = VecDestroy(&coordinates);CHKERRQ(ierr);
1328   PetscFunctionReturn(0);
1329 }
1330 
1331 #undef __FUNCT__
1332 #define __FUNCT__ "DMPlexCreateReferenceCell"
1333 /*@
1334   DMPlexCreateReferenceCell - Create a DMPLEX with the appropriate FEM reference cell
1335 
1336   Collective on comm
1337 
1338   Input Parameters:
1339 + comm    - The communicator
1340 . dim     - The spatial dimension
1341 - simplex - Flag for simplex, otherwise use a tensor-product cell
1342 
1343   Output Parameter:
1344 . refdm - The reference cell
1345 
1346   Level: intermediate
1347 
1348 .keywords: reference cell
1349 .seealso:
1350 @*/
1351 PetscErrorCode DMPlexCreateReferenceCell(MPI_Comm comm, PetscInt dim, PetscBool simplex, DM *refdm)
1352 {
1353   DM             rdm;
1354   PetscErrorCode ierr;
1355 
1356   PetscFunctionBeginUser;
1357   ierr = DMCreate(comm, &rdm);CHKERRQ(ierr);
1358   ierr = DMSetType(rdm, DMPLEX);CHKERRQ(ierr);
1359   ierr = DMSetDimension(rdm, dim);CHKERRQ(ierr);
1360   switch (dim) {
1361   case 0:
1362   {
1363     PetscInt    numPoints[1]        = {1};
1364     PetscInt    coneSize[1]         = {0};
1365     PetscInt    cones[1]            = {0};
1366     PetscInt    coneOrientations[1] = {0};
1367     PetscScalar vertexCoords[1]     = {0.0};
1368 
1369     ierr = DMPlexCreateFromDAG(rdm, 0, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr);
1370   }
1371   break;
1372   case 1:
1373   {
1374     PetscInt    numPoints[2]        = {2, 1};
1375     PetscInt    coneSize[3]         = {2, 0, 0};
1376     PetscInt    cones[2]            = {1, 2};
1377     PetscInt    coneOrientations[2] = {0, 0};
1378     PetscScalar vertexCoords[2]     = {-1.0,  1.0};
1379 
1380     ierr = DMPlexCreateFromDAG(rdm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr);
1381   }
1382   break;
1383   case 2:
1384     if (simplex) {
1385       PetscInt    numPoints[2]        = {3, 1};
1386       PetscInt    coneSize[4]         = {3, 0, 0, 0};
1387       PetscInt    cones[3]            = {1, 2, 3};
1388       PetscInt    coneOrientations[3] = {0, 0, 0};
1389       PetscScalar vertexCoords[6]     = {-1.0, -1.0,  1.0, -1.0,  -1.0, 1.0};
1390 
1391       ierr = DMPlexCreateFromDAG(rdm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr);
1392     } else {
1393       PetscInt    numPoints[2]        = {4, 1};
1394       PetscInt    coneSize[5]         = {4, 0, 0, 0, 0};
1395       PetscInt    cones[4]            = {1, 2, 3, 4};
1396       PetscInt    coneOrientations[4] = {0, 0, 0, 0};
1397       PetscScalar vertexCoords[8]     = {-1.0, -1.0,  1.0, -1.0,  1.0, 1.0,  -1.0, 1.0};
1398 
1399       ierr = DMPlexCreateFromDAG(rdm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr);
1400     }
1401   break;
1402   case 3:
1403     if (simplex) {
1404       PetscInt    numPoints[2]        = {4, 1};
1405       PetscInt    coneSize[5]         = {4, 0, 0, 0, 0};
1406       PetscInt    cones[4]            = {1, 3, 2, 4};
1407       PetscInt    coneOrientations[4] = {0, 0, 0, 0};
1408       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};
1409 
1410       ierr = DMPlexCreateFromDAG(rdm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr);
1411     } else {
1412       PetscInt    numPoints[2]        = {8, 1};
1413       PetscInt    coneSize[9]         = {8, 0, 0, 0, 0, 0, 0, 0, 0};
1414       PetscInt    cones[8]            = {1, 4, 3, 2, 5, 6, 7, 8};
1415       PetscInt    coneOrientations[8] = {0, 0, 0, 0, 0, 0, 0, 0};
1416       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,
1417                                          -1.0, -1.0,  1.0,  1.0, -1.0,  1.0,  1.0, 1.0,  1.0,  -1.0, 1.0,  1.0};
1418 
1419       ierr = DMPlexCreateFromDAG(rdm, 1, numPoints, coneSize, cones, coneOrientations, vertexCoords);CHKERRQ(ierr);
1420     }
1421   break;
1422   default:
1423     SETERRQ1(comm, PETSC_ERR_ARG_WRONG, "Cannot create reference cell for dimension %d", dim);
1424   }
1425   *refdm = NULL;
1426   ierr = DMPlexInterpolate(rdm, refdm);CHKERRQ(ierr);
1427   ierr = DMPlexCopyCoordinates(rdm, *refdm);CHKERRQ(ierr);
1428   ierr = DMDestroy(&rdm);CHKERRQ(ierr);
1429   PetscFunctionReturn(0);
1430 }
1431