Actual source code: ex2.c

  1: static const char help[] = "Tests for injecting basis functions";

  3: #include <petscdmplex.h>
  4: #include <petscfe.h>
  5: #include <petscds.h>

  7: typedef struct {
  8:   PetscInt its; /* Number of replications for timing */
  9: } AppCtx;

 11: static PetscErrorCode ProcessOptions(MPI_Comm comm, AppCtx *options)
 12: {
 13:   PetscFunctionBeginUser;
 14:   options->its = 1;

 16:   PetscOptionsBegin(comm, "", "FE Injection Options", "PETSCFE");
 17:   PetscCall(PetscOptionsInt("-its", "The number of replications for timing", "ex1.c", options->its, &options->its, NULL));
 18:   PetscOptionsEnd();
 19:   PetscFunctionReturn(PETSC_SUCCESS);
 20: }

 22: static PetscErrorCode trig_u(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx)
 23: {
 24:   PetscInt d;
 25:   *u = 0.0;
 26:   for (d = 0; d < dim; ++d) *u += PetscSinReal(2.0 * PETSC_PI * x[d]);
 27:   return PETSC_SUCCESS;
 28: }

 30: static void f0_trig_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f0[])
 31: {
 32:   PetscInt d;
 33:   for (d = 0; d < dim; ++d) f0[0] += -4.0 * PetscSqr(PETSC_PI) * PetscSinReal(2.0 * PETSC_PI * x[d]);
 34: }

 36: static void f1_u(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar f1[])
 37: {
 38:   PetscInt d;
 39:   for (d = 0; d < dim; ++d) f1[d] = u_x[d];
 40: }

 42: static void g3_uu(PetscInt dim, PetscInt Nf, PetscInt NfAux, const PetscInt uOff[], const PetscInt uOff_x[], const PetscScalar u[], const PetscScalar u_t[], const PetscScalar u_x[], const PetscInt aOff[], const PetscInt aOff_x[], const PetscScalar a[], const PetscScalar a_t[], const PetscScalar a_x[], PetscReal t, PetscReal u_tShift, const PetscReal x[], PetscInt numConstants, const PetscScalar constants[], PetscScalar g3[])
 43: {
 44:   PetscInt d;
 45:   for (d = 0; d < dim; ++d) g3[d * dim + d] = 1.0;
 46: }

 48: static PetscErrorCode SetupPrimalProblem(DM dm, AppCtx *user)
 49: {
 50:   PetscDS        ds;
 51:   DMLabel        label;
 52:   const PetscInt id = 1;

 54:   PetscFunctionBeginUser;
 55:   PetscCall(DMGetDS(dm, &ds));
 56:   PetscCall(PetscDSSetResidual(ds, 0, f0_trig_u, f1_u));
 57:   PetscCall(PetscDSSetJacobian(ds, 0, 0, NULL, NULL, NULL, g3_uu));
 58:   PetscCall(PetscDSSetExactSolution(ds, 0, trig_u, user));
 59:   PetscCall(DMGetLabel(dm, "marker", &label));
 60:   if (label) PetscCall(DMAddBoundary(dm, DM_BC_ESSENTIAL, "wall", label, 1, &id, 0, 0, NULL, (void (*)(void))trig_u, NULL, user, NULL));
 61:   PetscFunctionReturn(PETSC_SUCCESS);
 62: }

 64: static PetscErrorCode SetupDiscretization(DM dm, const char name[], PetscErrorCode (*setup)(DM, AppCtx *), AppCtx *user)
 65: {
 66:   DM       cdm = dm;
 67:   PetscFE  fe;
 68:   char     prefix[PETSC_MAX_PATH_LEN];
 69:   PetscInt dim;

 71:   PetscFunctionBeginUser;
 72:   PetscCall(DMGetDimension(dm, &dim));
 73:   PetscCall(PetscSNPrintf(prefix, PETSC_MAX_PATH_LEN, "%s_", name));
 74:   PetscCall(DMCreateFEDefault(dm, dim, name ? prefix : NULL, -1, &fe));
 75:   PetscCall(PetscObjectSetName((PetscObject)fe, name));
 76:   /* Set discretization and boundary conditions for each mesh */
 77:   PetscCall(DMSetField(dm, 0, NULL, (PetscObject)fe));
 78:   PetscCall(DMCreateDS(dm));
 79:   PetscCall((*setup)(dm, user));
 80:   while (cdm) {
 81:     PetscCall(DMCopyDisc(dm, cdm));
 82:     PetscCall(DMGetCoarseDM(cdm, &cdm));
 83:   }
 84:   PetscCall(PetscFEDestroy(&fe));
 85:   PetscFunctionReturn(PETSC_SUCCESS);
 86: }

 88: static PetscErrorCode PetscContainerUserDestroy_PetscFEGeom(void *ctx)
 89: {
 90:   PetscFEGeom *geom = (PetscFEGeom *)ctx;

 92:   PetscFunctionBegin;
 93:   PetscCall(PetscFEGeomDestroy(&geom));
 94:   PetscFunctionReturn(PETSC_SUCCESS);
 95: }

 97: PetscErrorCode CellRangeGetFEGeom(IS cellIS, DMField coordField, PetscQuadrature quad, PetscBool faceData, PetscFEGeom **geom)
 98: {
 99:   char           composeStr[33] = {0};
100:   PetscObjectId  id;
101:   PetscContainer container;

103:   PetscFunctionBegin;
104:   PetscCall(PetscObjectGetId((PetscObject)quad, &id));
105:   PetscCall(PetscSNPrintf(composeStr, 32, "CellRangeGetFEGeom_%" PetscInt64_FMT "\n", id));
106:   PetscCall(PetscObjectQuery((PetscObject)cellIS, composeStr, (PetscObject *)&container));
107:   if (container) {
108:     PetscCall(PetscContainerGetPointer(container, (void **)geom));
109:   } else {
110:     PetscCall(DMFieldCreateFEGeom(coordField, cellIS, quad, faceData, geom));
111:     PetscCall(PetscObjectContainerCompose((PetscObject)cellIS, composeStr, *geom, PetscContainerUserDestroy_PetscFEGeom));
112:   }
113:   PetscFunctionReturn(PETSC_SUCCESS);
114: }

116: PetscErrorCode CellRangeRestoreFEGeom(IS cellIS, DMField coordField, PetscQuadrature quad, PetscBool faceData, PetscFEGeom **geom)
117: {
118:   PetscFunctionBegin;
119:   *geom = NULL;
120:   PetscFunctionReturn(PETSC_SUCCESS);
121: }

123: static PetscErrorCode CreateFEGeometry(DM dm, PetscDS ds, IS cellIS, PetscQuadrature *affineQuad, PetscFEGeom **affineGeom, PetscQuadrature **quads, PetscFEGeom ***geoms)
124: {
125:   DMField  coordField;
126:   PetscInt Nf, f, maxDegree;

128:   PetscFunctionBeginUser;
129:   *affineQuad = NULL;
130:   *affineGeom = NULL;
131:   *quads      = NULL;
132:   *geoms      = NULL;
133:   PetscCall(PetscDSGetNumFields(ds, &Nf));
134:   PetscCall(DMGetCoordinateField(dm, &coordField));
135:   PetscCall(DMFieldGetDegree(coordField, cellIS, NULL, &maxDegree));
136:   if (maxDegree <= 1) {
137:     PetscCall(DMFieldCreateDefaultQuadrature(coordField, cellIS, affineQuad));
138:     if (*affineQuad) PetscCall(CellRangeGetFEGeom(cellIS, coordField, *affineQuad, PETSC_FALSE, affineGeom));
139:   } else {
140:     PetscCall(PetscCalloc2(Nf, quads, Nf, geoms));
141:     for (f = 0; f < Nf; ++f) {
142:       PetscFE fe;

144:       PetscCall(PetscDSGetDiscretization(ds, f, (PetscObject *)&fe));
145:       PetscCall(PetscFEGetQuadrature(fe, &(*quads)[f]));
146:       PetscCall(PetscObjectReference((PetscObject)(*quads)[f]));
147:       PetscCall(CellRangeGetFEGeom(cellIS, coordField, (*quads)[f], PETSC_FALSE, &(*geoms)[f]));
148:     }
149:   }
150:   PetscFunctionReturn(PETSC_SUCCESS);
151: }

153: static PetscErrorCode DestroyFEGeometry(DM dm, PetscDS ds, IS cellIS, PetscQuadrature *affineQuad, PetscFEGeom **affineGeom, PetscQuadrature **quads, PetscFEGeom ***geoms)
154: {
155:   DMField  coordField;
156:   PetscInt Nf, f;

158:   PetscFunctionBeginUser;
159:   PetscCall(PetscDSGetNumFields(ds, &Nf));
160:   PetscCall(DMGetCoordinateField(dm, &coordField));
161:   if (*affineQuad) {
162:     PetscCall(CellRangeRestoreFEGeom(cellIS, coordField, *affineQuad, PETSC_FALSE, affineGeom));
163:     PetscCall(PetscQuadratureDestroy(affineQuad));
164:   } else {
165:     for (f = 0; f < Nf; ++f) {
166:       PetscCall(CellRangeRestoreFEGeom(cellIS, coordField, (*quads)[f], PETSC_FALSE, &(*geoms)[f]));
167:       PetscCall(PetscQuadratureDestroy(&(*quads)[f]));
168:     }
169:     PetscCall(PetscFree2(*quads, *geoms));
170:   }
171:   PetscFunctionReturn(PETSC_SUCCESS);
172: }

174: static PetscErrorCode TestEvaluation(DM dm)
175: {
176:   PetscFE    fe;
177:   PetscSpace sp;
178:   PetscReal *points;
179:   PetscReal *B, *D, *H;
180:   PetscInt   dim, Nb, b, Nc, c, Np, p;

182:   PetscFunctionBeginUser;
183:   PetscCall(DMGetDimension(dm, &dim));
184:   PetscCall(DMGetField(dm, 0, NULL, (PetscObject *)&fe));
185:   Np = 6;
186:   PetscCall(PetscMalloc1(Np * dim, &points));
187:   if (dim == 3) {
188:     points[0]  = -1.0;
189:     points[1]  = -1.0;
190:     points[2]  = -1.0;
191:     points[3]  = 1.0;
192:     points[4]  = -1.0;
193:     points[5]  = -1.0;
194:     points[6]  = -1.0;
195:     points[7]  = 1.0;
196:     points[8]  = -1.0;
197:     points[9]  = -1.0;
198:     points[10] = -1.0;
199:     points[11] = 1.0;
200:     points[12] = 1.0;
201:     points[13] = -1.0;
202:     points[14] = 1.0;
203:     points[15] = -1.0;
204:     points[16] = 1.0;
205:     points[17] = 1.0;
206:   } else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_SUP, "Only for 3D right now");
207:   PetscCall(PetscFEGetBasisSpace(fe, &sp));
208:   PetscCall(PetscSpaceGetDimension(sp, &Nb));
209:   PetscCall(PetscSpaceGetNumComponents(sp, &Nc));
210:   PetscCall(DMGetWorkArray(dm, Np * Nb * Nc, MPIU_REAL, &B));
211:   PetscCall(DMGetWorkArray(dm, Np * Nb * Nc * dim, MPIU_REAL, &D));
212:   PetscCall(DMGetWorkArray(dm, Np * Nb * Nc * dim * dim, MPIU_REAL, &H));
213:   PetscCall(PetscSpaceEvaluate(sp, Np, points, B, NULL, NULL /*D, H*/));
214:   for (p = 0; p < Np; ++p) {
215:     PetscCall(PetscPrintf(PETSC_COMM_SELF, "Point %" PetscInt_FMT "\n", p));
216:     for (b = 0; b < Nb; ++b) {
217:       PetscCall(PetscPrintf(PETSC_COMM_SELF, "B[%" PetscInt_FMT "]:", b));
218:       for (c = 0; c < Nc; ++c) PetscCall(PetscPrintf(PETSC_COMM_SELF, " %g", (double)B[(p * Nb + b) * Nc + c]));
219:       PetscCall(PetscPrintf(PETSC_COMM_SELF, "\n"));
220: #if 0
221:       for (c = 0; c < Nc; ++c) {
222:         PetscCall(PetscPrintf(PETSC_COMM_SELF, " D[%" PetscInt_FMT ",%" PetscInt_FMT "]:", b, c));
223:         for (d = 0; d < dim; ++d) PetscCall(PetscPrintf(PETSC_COMM_SELF, " %g", (double) B[((p*Nb+b)*Nc+c)*dim+d)]));
224:         PetscCall(PetscPrintf(PETSC_COMM_SELF, "\n"));
225:       }
226: #endif
227:     }
228:   }
229:   PetscCall(DMRestoreWorkArray(dm, Np * Nb, MPIU_REAL, &B));
230:   PetscCall(DMRestoreWorkArray(dm, Np * Nb * dim, MPIU_REAL, &D));
231:   PetscCall(DMRestoreWorkArray(dm, Np * Nb * dim * dim, MPIU_REAL, &H));
232:   PetscCall(PetscFree(points));
233:   PetscFunctionReturn(PETSC_SUCCESS);
234: }

236: static PetscErrorCode TestIntegration(DM dm, PetscInt cbs, PetscInt its)
237: {
238:   PetscDS         ds;
239:   PetscFEGeom    *chunkGeom = NULL;
240:   PetscQuadrature affineQuad, *quads  = NULL;
241:   PetscFEGeom    *affineGeom, **geoms = NULL;
242:   PetscScalar    *u, *elemVec;
243:   IS              cellIS;
244:   PetscInt        depth, cStart, cEnd, cell, chunkSize = cbs, Nch = 0, Nf, f, totDim, i, k;

246:   PetscFunctionBeginUser;
247:   PetscCall(DMPlexGetDepth(dm, &depth));
248:   PetscCall(DMGetStratumIS(dm, "depth", depth, &cellIS));
249:   PetscCall(DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd));
250:   PetscCall(DMGetCellDS(dm, cStart, &ds, NULL));
251:   PetscCall(PetscDSGetNumFields(ds, &Nf));
252:   PetscCall(PetscDSGetTotalDimension(ds, &totDim));
253:   PetscCall(CreateFEGeometry(dm, ds, cellIS, &affineQuad, &affineGeom, &quads, &geoms));
254:   PetscCall(PetscMalloc2(chunkSize * totDim, &u, chunkSize * totDim, &elemVec));
255:   /* Assumptions:
256:     - Single field
257:     - No input data
258:     - No auxiliary data
259:     - No time-dependence
260:   */
261:   for (i = 0; i < its; ++i) {
262:     for (cell = cStart; cell < cEnd; cell += chunkSize, ++Nch) {
263:       const PetscInt cS = cell, cE = PetscMin(cS + chunkSize, cEnd), Ne = cE - cS;

265:       PetscCall(PetscArrayzero(elemVec, chunkSize * totDim));
266:       /* TODO Replace with DMPlexGetCellFields() */
267:       for (k = 0; k < chunkSize * totDim; ++k) u[k] = 1.0;
268:       for (f = 0; f < Nf; ++f) {
269:         PetscFormKey key;
270:         PetscFEGeom *geom = affineGeom ? affineGeom : geoms[f];
271:         /* PetscQuadrature quad = affineQuad ? affineQuad : quads[f]; */

273:         key.label = NULL;
274:         key.value = 0;
275:         key.field = f;
276:         key.part  = 0;
277:         PetscCall(PetscFEGeomGetChunk(geom, cS, cE, &chunkGeom));
278:         PetscCall(PetscFEIntegrateResidual(ds, key, Ne, chunkGeom, u, NULL, NULL, NULL, 0.0, elemVec));
279:       }
280:     }
281:   }
282:   PetscCall(PetscFEGeomRestoreChunk(affineGeom, cStart, cEnd, &chunkGeom));
283:   PetscCall(DestroyFEGeometry(dm, ds, cellIS, &affineQuad, &affineGeom, &quads, &geoms));
284:   PetscCall(ISDestroy(&cellIS));
285:   PetscCall(PetscFree2(u, elemVec));
286:   PetscFunctionReturn(PETSC_SUCCESS);
287: }

289: static PetscErrorCode TestUnisolvence(DM dm)
290: {
291:   Mat M;
292:   Vec v;

294:   PetscFunctionBeginUser;
295:   PetscCall(DMGetLocalVector(dm, &v));
296:   PetscCall(DMRestoreLocalVector(dm, &v));
297:   PetscCall(DMCreateMassMatrix(dm, dm, &M));
298:   PetscCall(MatViewFromOptions(M, NULL, "-mass_view"));
299:   PetscCall(MatDestroy(&M));
300:   PetscFunctionReturn(PETSC_SUCCESS);
301: }

303: int main(int argc, char **argv)
304: {
305:   DM          dm;
306:   AppCtx      ctx;
307:   PetscMPIInt size;

309:   PetscFunctionBeginUser;
310:   PetscCall(PetscInitialize(&argc, &argv, NULL, help));
311:   PetscCallMPI(MPI_Comm_size(PETSC_COMM_WORLD, &size));
312:   PetscCheck(size == 1, PETSC_COMM_WORLD, PETSC_ERR_WRONG_MPI_SIZE, "This is a uniprocessor example only.");
313:   PetscCall(ProcessOptions(PETSC_COMM_WORLD, &ctx));
314:   PetscCall(DMCreate(PETSC_COMM_WORLD, &dm));
315:   PetscCall(DMSetType(dm, DMPLEX));
316:   PetscCall(DMSetFromOptions(dm));
317:   PetscCall(PetscObjectSetName((PetscObject)dm, "Mesh"));
318:   PetscCall(PetscObjectViewFromOptions((PetscObject)dm, NULL, "-dm_view"));
319:   PetscCall(SetupDiscretization(dm, "field", SetupPrimalProblem, &ctx));
320:   PetscCall(TestEvaluation(dm));
321:   PetscCall(TestIntegration(dm, 1, ctx.its));
322:   PetscCall(TestUnisolvence(dm));
323:   PetscCall(DMDestroy(&dm));
324:   PetscCall(PetscFinalize());
325:   return 0;
326: }

328: /*TEST
329:   test:
330:     suffix: 0
331:     args: -dm_plex_reference_cell_domain -dm_plex_cell triangular_prism -field_petscspace_degree 0

333:   test:
334:     suffix: 2
335:     args: -dm_plex_reference_cell_domain -dm_plex_cell triangular_prism \
336:           -field_petscspace_type sum \
337:           -field_petscspace_variables 3 \
338:           -field_petscspace_components 3 \
339:           -field_petscspace_sum_spaces 2 \
340:           -field_petscspace_sum_concatenate false \
341:           -field_sumcomp_0_petscspace_variables 3 \
342:           -field_sumcomp_0_petscspace_components 3 \
343:           -field_sumcomp_0_petscspace_degree 1 \
344:           -field_sumcomp_1_petscspace_variables 3 \
345:           -field_sumcomp_1_petscspace_components 3 \
346:           -field_sumcomp_1_petscspace_type wxy \
347:           -field_petscdualspace_form_degree 0 \
348:           -field_petscdualspace_order 1 \
349:           -field_petscdualspace_components 3

351: TEST*/