Actual source code: fegeom.c

  1: #include <petsc/private/petscfeimpl.h>

  3: /*@C
  4:   PetscFEGeomCreate - Create a PetscFEGeom object to manage geometry for a group of cells

  6:   Input Parameters:
  7: + quad     - A PetscQuadrature determining the tabulation
  8: . numCells - The number of cells in the group
  9: . dimEmbed - The coordinate dimension
 10: - faceData - Flag to construct geometry data for the faces

 12:   Output Parameter:
 13: . geom     - The PetscFEGeom object

 15:   Level: beginner

 17: .seealso: PetscFEGeomDestroy(), PetscFEGeomComplete()
 18: @*/
 19: PetscErrorCode PetscFEGeomCreate(PetscQuadrature quad, PetscInt numCells, PetscInt dimEmbed, PetscBool faceData, PetscFEGeom **geom)
 20: {
 21:   PetscFEGeom     *g;
 22:   PetscInt        dim, Nq, N;
 23:   const PetscReal *p;
 24:   PetscErrorCode  ierr;

 27:   PetscQuadratureGetData(quad,&dim,NULL,&Nq,&p,NULL);
 28:   PetscNew(&g);
 29:   g->xi        = p;
 30:   g->numCells  = numCells;
 31:   g->numPoints = Nq;
 32:   g->dim       = dim;
 33:   g->dimEmbed  = dimEmbed;
 34:   g->isHybrid  = PETSC_FALSE;
 35:   N = numCells * Nq;
 36:   PetscCalloc3(N * dimEmbed, &g->v, N * dimEmbed * dimEmbed, &g->J, N, &g->detJ);
 37:   if (faceData) {
 38:     PetscCalloc2(numCells, &g->face, N * dimEmbed, &g->n);
 39:     PetscCalloc6(N * dimEmbed * dimEmbed, &(g->suppJ[0]),    N * dimEmbed * dimEmbed, &(g->suppJ[1]),
 40:                         N * dimEmbed * dimEmbed, &(g->suppInvJ[0]), N * dimEmbed * dimEmbed, &(g->suppInvJ[1]),
 41:                         N,                       &(g->suppDetJ[0]), N,                       &(g->suppDetJ[1]));
 42:   }
 43:   PetscCalloc1(N * dimEmbed * dimEmbed, &g->invJ);
 44:   *geom = g;
 45:   return(0);
 46: }

 48: /*@C
 49:   PetscFEGeomDestroy - Destroy a PetscFEGeom object

 51:   Input Parameter:
 52: . geom - PetscFEGeom object

 54:   Level: beginner

 56: .seealso: PetscFEGeomCreate()
 57: @*/
 58: PetscErrorCode PetscFEGeomDestroy(PetscFEGeom **geom)
 59: {

 63:   if (!*geom) return(0);
 64:   PetscFree3((*geom)->v,(*geom)->J,(*geom)->detJ);
 65:   PetscFree((*geom)->invJ);
 66:   PetscFree2((*geom)->face,(*geom)->n);
 67:   PetscFree6((*geom)->suppJ[0],(*geom)->suppJ[1],(*geom)->suppInvJ[0],(*geom)->suppInvJ[1],(*geom)->suppDetJ[0],(*geom)->suppDetJ[1]);
 68:   PetscFree(*geom);
 69:   return(0);
 70: }

 72: /*@C
 73:   PetscFEGeomGetChunk - Get a chunk of cells in the group as a PetscFEGeom

 75:   Input Parameters:
 76: + geom   - PetscFEGeom object
 77: . cStart - The first cell in the chunk
 78: - cEnd   - The first cell not in the chunk

 80:   Output Parameter:
 81: . chunkGeom - The chunk of cells

 83:   Level: intermediate

 85: .seealso: PetscFEGeomRestoreChunk(), PetscFEGeomCreate()
 86: @*/
 87: PetscErrorCode PetscFEGeomGetChunk(PetscFEGeom *geom, PetscInt cStart, PetscInt cEnd, PetscFEGeom **chunkGeom)
 88: {
 89:   PetscInt       Nq;
 90:   PetscInt       dE;

 96:   if (!(*chunkGeom)) {
 97:     PetscNew(chunkGeom);
 98:   }
 99:   Nq = geom->numPoints;
100:   dE= geom->dimEmbed;
101:   (*chunkGeom)->dim = geom->dim;
102:   (*chunkGeom)->dimEmbed = geom->dimEmbed;
103:   (*chunkGeom)->numPoints = geom->numPoints;
104:   (*chunkGeom)->numCells = cEnd - cStart;
105:   (*chunkGeom)->xi = geom->xi;
106:   (*chunkGeom)->v = &geom->v[Nq*dE*cStart];
107:   (*chunkGeom)->J = &geom->J[Nq*dE*dE*cStart];
108:   (*chunkGeom)->invJ = (geom->invJ) ? &geom->invJ[Nq*dE*dE*cStart] : NULL;
109:   (*chunkGeom)->detJ = &geom->detJ[Nq*cStart];
110:   (*chunkGeom)->n = geom->n ? &geom->n[Nq*dE*cStart] : NULL;
111:   (*chunkGeom)->face = geom->face ? &geom->face[cStart] : NULL;
112:   (*chunkGeom)->suppJ[0]    = geom->suppJ[0]    ? &geom->suppJ[0][Nq*dE*dE*cStart]    : NULL;
113:   (*chunkGeom)->suppJ[1]    = geom->suppJ[1]    ? &geom->suppJ[1][Nq*dE*dE*cStart]    : NULL;
114:   (*chunkGeom)->suppInvJ[0] = geom->suppInvJ[0] ? &geom->suppInvJ[0][Nq*dE*dE*cStart] : NULL;
115:   (*chunkGeom)->suppInvJ[1] = geom->suppInvJ[1] ? &geom->suppInvJ[1][Nq*dE*dE*cStart] : NULL;
116:   (*chunkGeom)->suppDetJ[0] = geom->suppDetJ[0] ? &geom->suppDetJ[0][Nq*cStart]       : NULL;
117:   (*chunkGeom)->suppDetJ[1] = geom->suppDetJ[1] ? &geom->suppDetJ[1][Nq*cStart]       : NULL;
118:   (*chunkGeom)->isAffine = geom->isAffine;
119:   return(0);
120: }

122: /*@C
123:   PetscFEGeomRestoreChunk - Restore the chunk

125:   Input Parameters:
126: + geom      - PetscFEGeom object
127: . cStart    - The first cell in the chunk
128: . cEnd      - The first cell not in the chunk
129: - chunkGeom - The chunk of cells

131:   Level: intermediate

133: .seealso: PetscFEGeomGetChunk(), PetscFEGeomCreate()
134: @*/
135: PetscErrorCode PetscFEGeomRestoreChunk(PetscFEGeom *geom, PetscInt cStart, PetscInt cEnd, PetscFEGeom **chunkGeom)
136: {

140:   PetscFree(*chunkGeom);
141:   return(0);
142: }

144: /*@C
145:   PetscFEGeomGetPoint - Get the geometry for cell c at point p as a PetscFEGeom

147:   Input Parameters:
148: + geom    - PetscFEGeom object
149: . c       - The cell
150: . p       - The point
151: - pcoords - The reference coordinates of point p, or NULL

153:   Output Parameter:
154: . pgeom - The geometry of cell c at point p

156:   Note: For affine geometries, this only copies to pgeom at point 0. Since we copy pointers into pgeom,
157:   nothing needs to be done with it afterwards.

159:   In the affine case, pgeom must have storage for the integration point coordinates in pgeom->v if pcoords is passed in.

161:   Level: intermediate

163: .seealso: PetscFEGeomRestoreChunk(), PetscFEGeomCreate()
164: @*/
165: PetscErrorCode PetscFEGeomGetPoint(PetscFEGeom *geom, PetscInt c, PetscInt p, const PetscReal pcoords[], PetscFEGeom *pgeom)
166: {
167:   const PetscInt dim = geom->dim;
168:   const PetscInt dE  = geom->dimEmbed;
169:   const PetscInt Np  = geom->numPoints;

172:   pgeom->dim      = dim;
173:   pgeom->dimEmbed = dE;
174:   //pgeom->isAffine = geom->isAffine;
175:   if (geom->isAffine) {
176:     if (!p) {
177:       pgeom->xi   = geom->xi;
178:       pgeom->J    = &geom->J[c*Np*dE*dE];
179:       pgeom->invJ = &geom->invJ[c*Np*dE*dE];
180:       pgeom->detJ = &geom->detJ[c*Np];
181:       pgeom->n    = geom->n ? &geom->n[c*Np*dE] : NULL;
182:     }
183:     if (pcoords) {CoordinatesRefToReal(dE, dim, pgeom->xi, &geom->v[c*Np*dE], pgeom->J, pcoords, pgeom->v);}
184:   } else {
185:     pgeom->v    = &geom->v[(c*Np+p)*dE];
186:     pgeom->J    = &geom->J[(c*Np+p)*dE*dE];
187:     pgeom->invJ = &geom->invJ[(c*Np+p)*dE*dE];
188:     pgeom->detJ = &geom->detJ[c*Np+p];
189:     pgeom->n    = geom->n ? &geom->n[(c*Np+p)*dE] : NULL;
190:   }
191:   return(0);
192: }

194: /*@C
195:   PetscFEGeomGetCellPoint - Get the cell geometry for face f at point p as a PetscFEGeom

197:   Input Parameters:
198: + geom    - PetscFEGeom object
199: . f       - The face
200: - p       - The point

202:   Output Parameter:
203: . pgeom - The cell geometry of face f at point p

205:   Note: For affine geometries, this only copies to pgeom at point 0. Since we copy pointers into pgeom,
206:   nothing needs to be done with it afterwards.

208:   Level: intermediate

210: .seealso: PetscFEGeomRestoreChunk(), PetscFEGeomCreate()
211: @*/
212: PetscErrorCode PetscFEGeomGetCellPoint(PetscFEGeom *geom, PetscInt c, PetscInt p, PetscFEGeom *pgeom)
213: {
214:   const PetscBool bd  = geom->dimEmbed > geom->dim && !geom->isHybrid ? PETSC_TRUE : PETSC_FALSE;
215:   const PetscInt  dim = bd ? geom->dimEmbed : geom->dim;
216:   const PetscInt  dE  = geom->dimEmbed;
217:   const PetscInt  Np  = geom->numPoints;

220:   pgeom->dim      = dim;
221:   pgeom->dimEmbed = dE;
222:   //pgeom->isAffine = geom->isAffine;
223:   if (geom->isAffine) {
224:     if (!p) {
225:       if (bd) {
226:         pgeom->J     = &geom->suppJ[0][c*Np*dE*dE];
227:         pgeom->invJ  = &geom->suppInvJ[0][c*Np*dE*dE];
228:         pgeom->detJ  = &geom->suppDetJ[0][c*Np];
229:       } else {
230:         pgeom->J    = &geom->J[c*Np*dE*dE];
231:         pgeom->invJ = &geom->invJ[c*Np*dE*dE];
232:         pgeom->detJ = &geom->detJ[c*Np];
233:       }
234:     }
235:   } else {
236:     if (bd) {
237:       pgeom->J     = &geom->suppJ[0][(c*Np+p)*dE*dE];
238:       pgeom->invJ  = &geom->suppInvJ[0][(c*Np+p)*dE*dE];
239:       pgeom->detJ  = &geom->suppDetJ[0][c*Np+p];
240:     } else {
241:       pgeom->J    = &geom->J[(c*Np+p)*dE*dE];
242:       pgeom->invJ = &geom->invJ[(c*Np+p)*dE*dE];
243:       pgeom->detJ = &geom->detJ[c*Np+p];
244:     }
245:   }
246:   return(0);
247: }

249: /*@
250:   PetscFEGeomComplete - Calculate derived quntites from base geometry specification

252:   Input Parameter:
253: . geom - PetscFEGeom object

255:   Level: intermediate

257: .seealso: PetscFEGeomCreate()
258: @*/
259: PetscErrorCode PetscFEGeomComplete(PetscFEGeom *geom)
260: {
261:   PetscInt i, j, N, dE;

264:   N = geom->numPoints * geom->numCells;
265:   dE = geom->dimEmbed;
266:   switch (dE) {
267:   case 3:
268:     for (i = 0; i < N; i++) {
269:       DMPlex_Det3D_Internal(&geom->detJ[i], &geom->J[dE*dE*i]);
270:       if (geom->invJ) DMPlex_Invert3D_Internal(&geom->invJ[dE*dE*i], &geom->J[dE*dE*i], geom->detJ[i]);
271:     }
272:     break;
273:   case 2:
274:     for (i = 0; i < N; i++) {
275:       DMPlex_Det2D_Internal(&geom->detJ[i], &geom->J[dE*dE*i]);
276:       if (geom->invJ) DMPlex_Invert2D_Internal(&geom->invJ[dE*dE*i], &geom->J[dE*dE*i], geom->detJ[i]);
277:     }
278:     break;
279:   case 1:
280:     for (i = 0; i < N; i++) {
281:       geom->detJ[i] = PetscAbsReal(geom->J[i]);
282:       if (geom->invJ) geom->invJ[i] = 1. / geom->J[i];
283:     }
284:     break;
285:   }
286:   if (geom->n) {
287:     for (i = 0; i < N; i++) {
288:       for (j = 0; j < dE; j++) {
289:         geom->n[dE*i + j] = geom->J[dE*dE*i + dE*j + dE-1] * ((dE == 2) ? -1. : 1.);
290:       }
291:     }
292:   }
293:   return(0);
294: }