xref: /petsc/src/dm/impls/plex/plexinterpolate.c (revision 6ac5842e34eedc6428162d8d42bedaaf46eae34c)
1 #include <petsc-private/dmpleximpl.h>   /*I      "petscdmplex.h"   I*/
2 #include <../src/sys/utils/hash.h>
3 
4 #undef __FUNCT__
5 #define __FUNCT__ "DMPlexGetFaces_Internal"
6 /*
7   DMPlexGetFaces_Internal - Gets groups of vertices that correspond to faces for the given cell
8 */
9 static PetscErrorCode DMPlexGetFaces_Internal(DM dm, PetscInt dim, PetscInt p, PetscInt *numFaces, PetscInt *faceSize, const PetscInt *faces[])
10 {
11   const PetscInt *cone = NULL;
12   PetscInt       *facesTmp;
13   PetscInt        maxConeSize, maxSupportSize, coneSize;
14   PetscErrorCode  ierr;
15 
16   PetscFunctionBegin;
17   PetscValidHeaderSpecific(dm, DM_CLASSID, 1);
18   ierr = DMPlexGetMaxSizes(dm, &maxConeSize, &maxSupportSize);CHKERRQ(ierr);
19   ierr = DMGetWorkArray(dm, PetscSqr(PetscMax(maxConeSize, maxSupportSize)), PETSC_INT, &facesTmp);CHKERRQ(ierr);
20   ierr = DMPlexGetConeSize(dm, p, &coneSize);CHKERRQ(ierr);
21   ierr = DMPlexGetCone(dm, p, &cone);CHKERRQ(ierr);
22   switch (dim) {
23   case 2:
24     switch (coneSize) {
25     case 3:
26       if (faces) {
27         facesTmp[0] = cone[0]; facesTmp[1] = cone[1];
28         facesTmp[2] = cone[1]; facesTmp[3] = cone[2];
29         facesTmp[4] = cone[2]; facesTmp[5] = cone[0];
30         *faces = facesTmp;
31       }
32       if (numFaces) *numFaces         = 3;
33       if (faceSize) *faceSize         = 2;
34       break;
35     case 4:
36       /* Vertices follow right hand rule */
37       if (faces) {
38         facesTmp[0] = cone[0]; facesTmp[1] = cone[1];
39         facesTmp[2] = cone[1]; facesTmp[3] = cone[2];
40         facesTmp[4] = cone[2]; facesTmp[5] = cone[3];
41         facesTmp[6] = cone[3]; facesTmp[7] = cone[0];
42         *faces = facesTmp;
43       }
44       if (numFaces) *numFaces         = 4;
45       if (faceSize) *faceSize         = 2;
46       if (faces)    *faces            = facesTmp;
47       break;
48     default:
49       SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Cone size %D not supported for dimension %D", coneSize, dim);
50     }
51     break;
52   case 3:
53     switch (coneSize) {
54     case 3:
55       if (faces) {
56         facesTmp[0] = cone[0]; facesTmp[1] = cone[1];
57         facesTmp[2] = cone[1]; facesTmp[3] = cone[2];
58         facesTmp[4] = cone[2]; facesTmp[5] = cone[0];
59         *faces = facesTmp;
60       }
61       if (numFaces) *numFaces         = 3;
62       if (faceSize) *faceSize         = 2;
63       if (faces)    *faces            = facesTmp;
64       break;
65     case 4:
66       /* Vertices of first face follow right hand rule and normal points towards last vertex */
67       if (faces) {
68         facesTmp[0] = cone[0]; facesTmp[1]  = cone[2]; facesTmp[2]  = cone[1];
69         facesTmp[3] = cone[0]; facesTmp[4]  = cone[1]; facesTmp[5]  = cone[3];
70         facesTmp[6] = cone[0]; facesTmp[7]  = cone[3]; facesTmp[8]  = cone[2];
71         facesTmp[9] = cone[1]; facesTmp[10] = cone[2]; facesTmp[11] = cone[3];
72         *faces = facesTmp;
73       }
74       if (numFaces) *numFaces         = 4;
75       if (faceSize) *faceSize         = 3;
76       if (faces)    *faces            = facesTmp;
77       break;
78     case 8:
79       if (faces) {
80         facesTmp[0]  = cone[0]; facesTmp[1]  = cone[3]; facesTmp[2]  = cone[2]; facesTmp[3]  = cone[1];
81         facesTmp[4]  = cone[4]; facesTmp[5]  = cone[5]; facesTmp[6]  = cone[6]; facesTmp[7]  = cone[7];
82         facesTmp[8]  = cone[0]; facesTmp[9]  = cone[1]; facesTmp[10] = cone[5]; facesTmp[11] = cone[4];
83         facesTmp[12] = cone[2]; facesTmp[13] = cone[3]; facesTmp[14] = cone[7]; facesTmp[15] = cone[6];
84         facesTmp[16] = cone[1]; facesTmp[17] = cone[2]; facesTmp[18] = cone[6]; facesTmp[19] = cone[5];
85         facesTmp[20] = cone[0]; facesTmp[21] = cone[4]; facesTmp[22] = cone[7]; facesTmp[23] = cone[3];
86         *faces = facesTmp;
87       }
88       if (numFaces) *numFaces         = 6;
89       if (faceSize) *faceSize         = 4;
90       break;
91     default:
92       SETERRQ2(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Cone size %D not supported for dimension %D", coneSize, dim);
93     }
94     break;
95   default:
96     SETERRQ1(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Dimension %D not supported", dim);
97   }
98   ierr = DMRestoreWorkArray(dm, 0, PETSC_INT, &facesTmp);CHKERRQ(ierr);
99   PetscFunctionReturn(0);
100 }
101 
102 #undef __FUNCT__
103 #define __FUNCT__ "DMPlexInterpolateFaces_Internal"
104 /* This interpolates faces for cells at some stratum */
105 static PetscErrorCode DMPlexInterpolateFaces_Internal(DM dm, PetscInt cellDepth, DM idm)
106 {
107   PetscHashIJKL  faceTable;
108   PetscInt      *pStart, *pEnd;
109   PetscInt       cellDim, depth, faceDepth = cellDepth, numPoints = 0, faceSizeAll = 0, face, c, d;
110   PetscErrorCode ierr;
111 
112   PetscFunctionBegin;
113   ierr = DMPlexGetDimension(dm, &cellDim);CHKERRQ(ierr);
114   ierr = DMPlexGetDepth(dm, &depth);CHKERRQ(ierr);
115   ++depth;
116   ++cellDepth;
117   cellDim -= depth - cellDepth;
118   ierr = PetscMalloc2(depth+1,PetscInt,&pStart,depth+1,PetscInt,&pEnd);CHKERRQ(ierr);
119   for (d = depth-1; d >= faceDepth; --d) {
120     ierr = DMPlexGetDepthStratum(dm, d, &pStart[d+1], &pEnd[d+1]);CHKERRQ(ierr);
121   }
122   ierr = DMPlexGetDepthStratum(dm, -1, NULL, &pStart[faceDepth]);CHKERRQ(ierr);
123   pEnd[faceDepth] = pStart[faceDepth];
124   for (d = faceDepth-1; d >= 0; --d) {
125     ierr = DMPlexGetDepthStratum(dm, d, &pStart[d], &pEnd[d]);CHKERRQ(ierr);
126   }
127   if (pEnd[cellDepth] > pStart[cellDepth]) {ierr = DMPlexGetFaces_Internal(dm, cellDim, pStart[cellDepth], NULL, &faceSizeAll, NULL);CHKERRQ(ierr);}
128   if (faceSizeAll > 4) SETERRQ1(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_WRONG, "Do not support interpolation of meshes with faces of %D vertices", faceSizeAll);
129   ierr = PetscHashIJKLCreate(&faceTable);CHKERRQ(ierr);
130   ierr = PetscHashIJKLSetMultivalued(faceTable, PETSC_FALSE);CHKERRQ(ierr);
131   for (c = pStart[cellDepth], face = pStart[faceDepth]; c < pEnd[cellDepth]; ++c) {
132     const PetscInt *cellFaces;
133     PetscInt        numCellFaces, faceSize, cf, f;
134 
135     ierr = DMPlexGetFaces_Internal(dm, cellDim, c, &numCellFaces, &faceSize, &cellFaces);CHKERRQ(ierr);
136     if (faceSize != faceSizeAll) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Inconsistent face for cell %D of size %D != %D", c, faceSize, faceSizeAll);
137     for (cf = 0; cf < numCellFaces; ++cf) {
138       const PetscInt  *cellFace = &cellFaces[cf*faceSize];
139       PetscHashIJKLKey key;
140 
141       if (faceSize == 2) {
142         key.i = PetscMin(cellFace[0], cellFace[1]);
143         key.j = PetscMax(cellFace[0], cellFace[1]);
144       } else {
145         key.i = cellFace[0]; key.j = cellFace[1]; key.k = cellFace[2]; key.l = faceSize > 3 ? cellFace[3] : 0;
146         ierr = PetscSortInt(faceSize, (PetscInt *) &key);
147       }
148       ierr  = PetscHashIJKLGet(faceTable, key, &f);CHKERRQ(ierr);
149       if (f < 0) {
150         ierr = PetscHashIJKLAdd(faceTable, key, face);CHKERRQ(ierr);
151         f    = face++;
152       }
153     }
154   }
155   pEnd[faceDepth] = face;
156   ierr = PetscHashIJKLDestroy(&faceTable);CHKERRQ(ierr);
157   /* Count new points */
158   for (d = 0; d <= depth; ++d) {
159     numPoints += pEnd[d]-pStart[d];
160   }
161   ierr = DMPlexSetChart(idm, 0, numPoints);CHKERRQ(ierr);
162   /* Set cone sizes */
163   for (d = 0; d <= depth; ++d) {
164     PetscInt coneSize, p;
165 
166     if (d == faceDepth) {
167       for (p = pStart[d]; p < pEnd[d]; ++p) {
168         /* I see no way to do this if we admit faces of different shapes */
169         ierr = DMPlexSetConeSize(idm, p, faceSizeAll);CHKERRQ(ierr);
170       }
171     } else if (d == cellDepth) {
172       for (p = pStart[d]; p < pEnd[d]; ++p) {
173         /* Number of cell faces may be different from number of cell vertices*/
174         ierr = DMPlexGetFaces_Internal(dm, cellDim, p, &coneSize, NULL, NULL);CHKERRQ(ierr);
175         ierr = DMPlexSetConeSize(idm, p, coneSize);CHKERRQ(ierr);
176       }
177     } else {
178       for (p = pStart[d]; p < pEnd[d]; ++p) {
179         ierr = DMPlexGetConeSize(dm, p, &coneSize);CHKERRQ(ierr);
180         ierr = DMPlexSetConeSize(idm, p, coneSize);CHKERRQ(ierr);
181       }
182     }
183   }
184   ierr = DMSetUp(idm);CHKERRQ(ierr);
185   /* Get face cones from subsets of cell vertices */
186   if (faceSizeAll > 4) SETERRQ1(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_WRONG, "Do not support interpolation of meshes with faces of %D vertices", faceSizeAll);
187   ierr = PetscHashIJKLCreate(&faceTable);CHKERRQ(ierr);
188   ierr = PetscHashIJKLSetMultivalued(faceTable, PETSC_FALSE);CHKERRQ(ierr);
189   for (d = depth; d > cellDepth; --d) {
190     const PetscInt *cone;
191     PetscInt        p;
192 
193     for (p = pStart[d]; p < pEnd[d]; ++p) {
194       ierr = DMPlexGetCone(dm, p, &cone);CHKERRQ(ierr);
195       ierr = DMPlexSetCone(idm, p, cone);CHKERRQ(ierr);
196       ierr = DMPlexGetConeOrientation(dm, p, &cone);CHKERRQ(ierr);
197       ierr = DMPlexSetConeOrientation(idm, p, cone);CHKERRQ(ierr);
198     }
199   }
200   for (c = pStart[cellDepth], face = pStart[faceDepth]; c < pEnd[cellDepth]; ++c) {
201     const PetscInt *cellFaces;
202     PetscInt        numCellFaces, faceSize, cf, f;
203 
204     ierr = DMPlexGetFaces_Internal(dm, cellDim, c, &numCellFaces, &faceSize, &cellFaces);CHKERRQ(ierr);
205     if (faceSize != faceSizeAll) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Inconsistent face for cell %D of size %D != %D", c, faceSize, faceSizeAll);
206     for (cf = 0; cf < numCellFaces; ++cf) {
207       const PetscInt  *cellFace = &cellFaces[cf*faceSize];
208       PetscHashIJKLKey key;
209 
210       if (faceSize == 2) {
211         key.i = PetscMin(cellFace[0], cellFace[1]);
212         key.j = PetscMax(cellFace[0], cellFace[1]);
213       } else {
214         key.i = cellFace[0]; key.j = cellFace[1]; key.k = cellFace[2]; key.l = faceSize > 3 ? cellFace[3] : 0;
215         ierr = PetscSortInt(faceSize, (PetscInt *) &key);
216       }
217       ierr  = PetscHashIJKLGet(faceTable, key, &f);CHKERRQ(ierr);
218       if (f < 0) {
219         ierr = DMPlexSetCone(idm, face, cellFace);CHKERRQ(ierr);
220         ierr = PetscHashIJKLAdd(faceTable, key, face);CHKERRQ(ierr);
221         f    = face++;
222         ierr = DMPlexInsertCone(idm, c, cf, f);CHKERRQ(ierr);
223       } else {
224         const PetscInt *cone;
225         PetscInt        coneSize, ornt, i, j;
226 
227         ierr = DMPlexInsertCone(idm, c, cf, f);CHKERRQ(ierr);
228         /* Orient face */
229         ierr = DMPlexGetConeSize(idm, f, &coneSize);CHKERRQ(ierr);
230         ierr = DMPlexGetCone(idm, f, &cone);CHKERRQ(ierr);
231         if (coneSize != faceSize) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid number of face vertices %D for face %D should be %D", coneSize, f, faceSize);
232         /* - First find the initial vertex */
233         for (i = 0; i < faceSize; ++i) if (cellFace[0] == cone[i]) break;
234         /* - Try forward comparison */
235         for (j = 0; j < faceSize; ++j) if (cellFace[j] != cone[(i+j)%faceSize]) break;
236         if (j == faceSize) {
237           if ((faceSize == 2) && (i == 1)) ornt = -2;
238           else                             ornt = i;
239         } else {
240           /* - Try backward comparison */
241           for (j = 0; j < faceSize; ++j) if (cellFace[j] != cone[(i+faceSize-j)%faceSize]) break;
242           if (j == faceSize) ornt = -(i+1);
243           else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Could not determine face orientation");
244         }
245         ierr = DMPlexInsertConeOrientation(idm, c, cf, ornt);CHKERRQ(ierr);
246       }
247     }
248   }
249   if (face != pEnd[faceDepth]) SETERRQ2(PetscObjectComm((PetscObject) dm), PETSC_ERR_PLIB, "Invalid number of faces %D should be %D", face-pStart[faceDepth], pEnd[faceDepth]-pStart[faceDepth]);
250   ierr = PetscHashIJKLDestroy(&faceTable);CHKERRQ(ierr);
251   ierr = DMPlexSymmetrize(idm);CHKERRQ(ierr);
252   ierr = DMPlexStratify(idm);CHKERRQ(ierr);
253   PetscFunctionReturn(0);
254 }
255 
256 #undef __FUNCT__
257 #define __FUNCT__ "DMPlexInterpolate"
258 PetscErrorCode DMPlexInterpolate(DM dm, DM *dmInt)
259 {
260   DM             idm, odm = dm;
261   PetscInt       dim, d;
262   PetscErrorCode ierr;
263 
264   PetscFunctionBegin;
265   ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
266   for (d = 1; d < dim; ++d) {
267     /* Create interpolated mesh */
268     ierr = DMCreate(PetscObjectComm((PetscObject)dm), &idm);CHKERRQ(ierr);
269     ierr = DMSetType(idm, DMPLEX);CHKERRQ(ierr);
270     ierr = DMPlexSetDimension(idm, dim);CHKERRQ(ierr);
271     ierr = DMPlexInterpolateFaces_Internal(odm, 1, idm);CHKERRQ(ierr);
272     if (odm != dm) {ierr = DMDestroy(&odm);CHKERRQ(ierr);}
273     odm  = idm;
274   }
275   *dmInt = idm;
276   PetscFunctionReturn(0);
277 }
278 
279 #undef __FUNCT__
280 #define __FUNCT__ "DMPlexCopyCoordinates"
281 PetscErrorCode DMPlexCopyCoordinates(DM dmA, DM dmB)
282 {
283   Vec            coordinatesA, coordinatesB;
284   PetscSection   coordSectionA, coordSectionB;
285   PetscScalar   *coordsA, *coordsB;
286   PetscInt       spaceDim, vStartA, vStartB, vEndA, vEndB, coordSizeB, v, d;
287   PetscErrorCode ierr;
288 
289   PetscFunctionBegin;
290   ierr = DMPlexGetDepthStratum(dmA, 0, &vStartA, &vEndA);CHKERRQ(ierr);
291   ierr = DMPlexGetDepthStratum(dmB, 0, &vStartB, &vEndB);CHKERRQ(ierr);
292   if ((vEndA-vStartA) != (vEndB-vStartB)) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "The number of vertices in first DM %d != %d in the second DM", vEndA-vStartA, vEndB-vStartB);
293   ierr = DMPlexGetCoordinateSection(dmA, &coordSectionA);CHKERRQ(ierr);
294   ierr = DMPlexGetCoordinateSection(dmB, &coordSectionB);CHKERRQ(ierr);
295   ierr = PetscSectionSetNumFields(coordSectionB, 1);CHKERRQ(ierr);
296   ierr = PetscSectionGetFieldComponents(coordSectionA, 0, &spaceDim);CHKERRQ(ierr);
297   ierr = PetscSectionSetFieldComponents(coordSectionB, 0, spaceDim);CHKERRQ(ierr);
298   ierr = PetscSectionSetChart(coordSectionB, vStartB, vEndB);CHKERRQ(ierr);
299   for (v = vStartB; v < vEndB; ++v) {
300     ierr = PetscSectionSetDof(coordSectionB, v, spaceDim);CHKERRQ(ierr);
301     ierr = PetscSectionSetFieldDof(coordSectionB, v, 0, spaceDim);CHKERRQ(ierr);
302   }
303   ierr = PetscSectionSetUp(coordSectionB);CHKERRQ(ierr);
304   ierr = PetscSectionGetStorageSize(coordSectionB, &coordSizeB);CHKERRQ(ierr);
305   ierr = DMGetCoordinatesLocal(dmA, &coordinatesA);CHKERRQ(ierr);
306   ierr = VecCreate(PetscObjectComm((PetscObject) dmB), &coordinatesB);CHKERRQ(ierr);
307   ierr = PetscObjectSetName((PetscObject) coordinatesB, "coordinates");CHKERRQ(ierr);
308   ierr = VecSetSizes(coordinatesB, coordSizeB, PETSC_DETERMINE);CHKERRQ(ierr);
309   ierr = VecSetFromOptions(coordinatesB);CHKERRQ(ierr);
310   ierr = VecGetArray(coordinatesA, &coordsA);CHKERRQ(ierr);
311   ierr = VecGetArray(coordinatesB, &coordsB);CHKERRQ(ierr);
312   for (v = 0; v < vEndB-vStartB; ++v) {
313     for (d = 0; d < spaceDim; ++d) {
314       coordsB[v*spaceDim+d] = coordsA[v*spaceDim+d];
315     }
316   }
317   ierr = VecRestoreArray(coordinatesA, &coordsA);CHKERRQ(ierr);
318   ierr = VecRestoreArray(coordinatesB, &coordsB);CHKERRQ(ierr);
319   ierr = DMSetCoordinatesLocal(dmB, coordinatesB);CHKERRQ(ierr);
320   ierr = VecDestroy(&coordinatesB);CHKERRQ(ierr);
321   PetscFunctionReturn(0);
322 }
323