1 static char help[] = "Test metric utils in the uniform, isotropic case.\n\n"; 2 3 #include <petscdmplex.h> 4 5 static PetscErrorCode bowl(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx) 6 { 7 PetscInt d; 8 9 *u = 0.0; 10 for (d = 0; d < dim; d++) *u += 0.5*(x[d] - 0.5)*(x[d] - 0.5); 11 12 return 0; 13 } 14 15 static PetscErrorCode CreateIndicator(DM dm, Vec *indicator, DM *dmIndi) 16 { 17 MPI_Comm comm; 18 PetscErrorCode ierr; 19 PetscFE fe; 20 PetscInt dim; 21 22 PetscFunctionBeginUser; 23 ierr = PetscObjectGetComm((PetscObject)dm, &comm);CHKERRQ(ierr); 24 ierr = DMClone(dm, dmIndi);CHKERRQ(ierr); 25 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 26 ierr = PetscFECreateLagrange(comm, dim, 1, PETSC_TRUE, 1, PETSC_DETERMINE, &fe);CHKERRQ(ierr); 27 ierr = DMSetField(*dmIndi, 0, NULL, (PetscObject)fe);CHKERRQ(ierr); 28 ierr = DMCreateDS(*dmIndi);CHKERRQ(ierr); 29 ierr = PetscFEDestroy(&fe);CHKERRQ(ierr); 30 ierr = DMCreateLocalVector(*dmIndi, indicator);CHKERRQ(ierr); 31 PetscFunctionReturn(0); 32 } 33 34 int main(int argc, char **argv) { 35 DM dm, dmAdapt; 36 DMLabel bdLabel = NULL, rgLabel = NULL; 37 MPI_Comm comm; 38 PetscBool uniform = PETSC_FALSE, isotropic = PETSC_FALSE, noTagging = PETSC_FALSE; 39 PetscErrorCode ierr; 40 PetscInt dim; 41 PetscReal scaling = 1.0; 42 Vec metric; 43 44 /* Set up */ 45 ierr = PetscInitialize(&argc, &argv, NULL, help);if (ierr) return ierr; 46 comm = PETSC_COMM_WORLD; 47 ierr = PetscOptionsBegin(comm, "", "Mesh adaptation options", "DMPLEX");CHKERRQ(ierr); 48 ierr = PetscOptionsBool("-noTagging", "Should tag preservation testing be turned off?", "ex60.c", noTagging, &noTagging, NULL);CHKERRQ(ierr); 49 ierr = PetscOptionsEnd(); 50 51 /* Create box mesh */ 52 ierr = DMCreate(comm, &dm);CHKERRQ(ierr); 53 ierr = DMSetType(dm, DMPLEX);CHKERRQ(ierr); 54 ierr = DMSetFromOptions(dm);CHKERRQ(ierr); 55 ierr = PetscObjectSetName((PetscObject) dm, "DM_init");CHKERRQ(ierr); 56 ierr = DMViewFromOptions(dm, NULL, "-initial_mesh_view");CHKERRQ(ierr); 57 ierr = DMGetDimension(dm, &dim);CHKERRQ(ierr); 58 59 /* Set tags to be preserved */ 60 if (!noTagging) { 61 DM cdm; 62 PetscInt cStart, cEnd, c, fStart, fEnd, f, vStart, vEnd; 63 const PetscScalar *coords; 64 Vec coordinates; 65 66 /* Cell tags */ 67 ierr = DMCreateLabel(dm, "Cell Sets");CHKERRQ(ierr); 68 ierr = DMGetLabel(dm, "Cell Sets", &rgLabel);CHKERRQ(ierr); 69 ierr = DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);CHKERRQ(ierr); 70 for (c = cStart; c < cEnd; ++c) { 71 PetscReal centroid[3], volume, x; 72 73 ierr = DMPlexComputeCellGeometryFVM(dm, c, &volume, centroid, NULL);CHKERRQ(ierr); 74 x = centroid[0]; 75 if (x < 0.5) { ierr = DMLabelSetValue(rgLabel, c, 3);CHKERRQ(ierr); } 76 else { ierr = DMLabelSetValue(rgLabel, c, 4);CHKERRQ(ierr); } 77 } 78 79 /* Face tags */ 80 ierr = DMCreateLabel(dm, "Face Sets");CHKERRQ(ierr); 81 ierr = DMGetLabel(dm, "Face Sets", &bdLabel);CHKERRQ(ierr); 82 ierr = DMPlexMarkBoundaryFaces(dm, 1, bdLabel);CHKERRQ(ierr); 83 ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr); 84 ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr); 85 ierr = DMGetCoordinateDM(dm, &cdm);CHKERRQ(ierr); 86 ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr); 87 ierr = VecGetArrayRead(coordinates, &coords);CHKERRQ(ierr); 88 for (f = fStart; f < fEnd; ++f) { 89 PetscBool flg = PETSC_TRUE; 90 PetscInt *closure = NULL, closureSize, cl; 91 PetscReal eps = 1.0e-08; 92 93 ierr = DMPlexGetTransitiveClosure(dm, f, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr); 94 for (cl = 0; cl < closureSize*2; cl += 2) { 95 PetscInt off = closure[cl]; 96 PetscReal *x; 97 98 if ((off < vStart) || (off >= vEnd)) continue; 99 ierr = DMPlexPointLocalRead(cdm, off, coords, &x);CHKERRQ(ierr); 100 if ((x[0] < 0.5 - eps) || (x[0] > 0.5 + eps)) flg = PETSC_FALSE; 101 } 102 if (flg) { ierr = DMLabelSetValue(bdLabel, f, 2);CHKERRQ(ierr); } 103 ierr = DMPlexRestoreTransitiveClosure(dm, f, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr); 104 } 105 ierr = VecRestoreArrayRead(coordinates, &coords);CHKERRQ(ierr); 106 } 107 108 /* Construct metric */ 109 ierr = DMPlexMetricSetFromOptions(dm);CHKERRQ(ierr); 110 ierr = DMPlexMetricIsUniform(dm, &uniform);CHKERRQ(ierr); 111 ierr = DMPlexMetricIsIsotropic(dm, &isotropic);CHKERRQ(ierr); 112 if (uniform) { 113 ierr = DMPlexMetricCreateUniform(dm, 0, scaling, &metric);CHKERRQ(ierr); 114 } 115 else { 116 DM dmIndi; 117 Vec indicator; 118 119 /* Construct "error indicator" */ 120 ierr = CreateIndicator(dm, &indicator, &dmIndi);CHKERRQ(ierr); 121 if (isotropic) { 122 123 /* Isotropic case: just specify unity */ 124 ierr = VecSet(indicator, scaling);CHKERRQ(ierr); 125 ierr = DMPlexMetricCreateIsotropic(dm, 0, indicator, &metric);CHKERRQ(ierr); 126 127 } else { 128 PetscFE fe; 129 130 /* 'Anisotropic' case: approximate the identity by recovering the Hessian of a parabola */ 131 DM dmGrad; 132 PetscErrorCode (*funcs[1])(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar*, void*) = {bowl}; 133 Vec gradient; 134 135 /* Project the parabola into P1 space */ 136 ierr = DMProjectFunctionLocal(dmIndi, 0.0, funcs, NULL, INSERT_ALL_VALUES, indicator);CHKERRQ(ierr); 137 138 /* Approximate the gradient */ 139 ierr = DMClone(dmIndi, &dmGrad);CHKERRQ(ierr); 140 ierr = PetscFECreateLagrange(comm, dim, dim, PETSC_TRUE, 1, PETSC_DETERMINE, &fe);CHKERRQ(ierr); 141 ierr = DMSetField(dmGrad, 0, NULL, (PetscObject)fe);CHKERRQ(ierr); 142 ierr = DMCreateDS(dmGrad);CHKERRQ(ierr); 143 ierr = PetscFEDestroy(&fe);CHKERRQ(ierr); 144 ierr = DMCreateLocalVector(dmGrad, &gradient);CHKERRQ(ierr); 145 ierr = DMPlexComputeGradientClementInterpolant(dmIndi, indicator, gradient);CHKERRQ(ierr); 146 ierr = VecViewFromOptions(gradient, NULL, "-adapt_gradient_view");CHKERRQ(ierr); 147 148 /* Approximate the Hessian */ 149 ierr = DMPlexMetricCreate(dm, 0, &metric);CHKERRQ(ierr); 150 ierr = DMPlexComputeGradientClementInterpolant(dmGrad, gradient, metric);CHKERRQ(ierr); 151 ierr = VecViewFromOptions(metric, NULL, "-adapt_hessian_view");CHKERRQ(ierr); 152 ierr = VecDestroy(&gradient);CHKERRQ(ierr); 153 ierr = DMDestroy(&dmGrad);CHKERRQ(ierr); 154 } 155 ierr = VecDestroy(&indicator);CHKERRQ(ierr); 156 ierr = DMDestroy(&dmIndi);CHKERRQ(ierr); 157 } 158 159 /* Test metric routines */ 160 { 161 DM dmDet; 162 PetscReal errornorm, norm, tol = 1.0e-10, weights[2] = {0.8, 0.2}; 163 Vec metric1, metric2, metricComb, determinant; 164 Vec metrics[2]; 165 166 ierr = VecDuplicate(metric, &metric1);CHKERRQ(ierr); 167 ierr = VecSet(metric1, 0);CHKERRQ(ierr); 168 ierr = VecAXPY(metric1, 0.625, metric);CHKERRQ(ierr); 169 ierr = VecDuplicate(metric, &metric2);CHKERRQ(ierr); 170 ierr = VecSet(metric2, 0);CHKERRQ(ierr); 171 ierr = VecAXPY(metric2, 2.5, metric);CHKERRQ(ierr); 172 metrics[0] = metric1; 173 metrics[1] = metric2; 174 175 /* Test metric average */ 176 ierr = DMPlexMetricAverage(dm, 2, weights, metrics, &metricComb);CHKERRQ(ierr); 177 ierr = VecAXPY(metricComb, -1, metric);CHKERRQ(ierr); 178 ierr = VecNorm(metric, NORM_2, &norm);CHKERRQ(ierr); 179 ierr = VecNorm(metricComb, NORM_2, &errornorm);CHKERRQ(ierr); 180 errornorm /= norm; 181 ierr = PetscPrintf(comm, "Metric average L2 error: %.4f%%\n", 100*errornorm);CHKERRQ(ierr); 182 PetscCheckFalse(errornorm > tol,comm, PETSC_ERR_ARG_OUTOFRANGE, "Metric average test failed"); 183 ierr = VecDestroy(&metricComb);CHKERRQ(ierr); 184 185 /* Test metric intersection */ 186 if (isotropic) { 187 ierr = DMPlexMetricIntersection(dm, 2, metrics, &metricComb);CHKERRQ(ierr); 188 ierr = VecAXPY(metricComb, -1, metric1);CHKERRQ(ierr); 189 ierr = VecNorm(metricComb, NORM_2, &errornorm);CHKERRQ(ierr); 190 errornorm /= norm; 191 ierr = PetscPrintf(comm, "Metric intersection L2 error: %.4f%%\n", 100*errornorm);CHKERRQ(ierr); 192 PetscCheckFalse(errornorm > tol,comm, PETSC_ERR_ARG_OUTOFRANGE, "Metric intersection test failed"); 193 } 194 ierr = VecDestroy(&metric1);CHKERRQ(ierr); 195 ierr = VecDestroy(&metric2);CHKERRQ(ierr); 196 ierr = VecDestroy(&metricComb);CHKERRQ(ierr); 197 198 /* Test metric SPD enforcement */ 199 ierr = DMPlexMetricEnforceSPD(dm, metric, PETSC_TRUE, PETSC_TRUE, &metric1, &determinant);CHKERRQ(ierr); 200 if (isotropic) { 201 Vec err; 202 203 ierr = VecDuplicate(determinant, &err);CHKERRQ(ierr); 204 ierr = VecSet(err, 1.0);CHKERRQ(ierr); 205 ierr = VecNorm(err, NORM_2, &norm);CHKERRQ(ierr); 206 ierr = VecAXPY(err, -1, determinant);CHKERRQ(ierr); 207 ierr = VecNorm(err, NORM_2, &errornorm);CHKERRQ(ierr); 208 ierr = VecDestroy(&err);CHKERRQ(ierr); 209 errornorm /= norm; 210 ierr = PetscPrintf(comm, "Metric determinant L2 error: %.4f%%\n", 100*errornorm);CHKERRQ(ierr); 211 PetscCheckFalse(errornorm > tol,comm, PETSC_ERR_ARG_OUTOFRANGE, "Determinant is not unit"); 212 ierr = VecAXPY(metric1, -1, metric);CHKERRQ(ierr); 213 ierr = VecNorm(metric1, NORM_2, &errornorm);CHKERRQ(ierr); 214 errornorm /= norm; 215 ierr = PetscPrintf(comm, "Metric SPD enforcement L2 error: %.4f%%\n", 100*errornorm);CHKERRQ(ierr); 216 PetscCheckFalse(errornorm > tol,comm, PETSC_ERR_ARG_OUTOFRANGE, "Metric SPD enforcement test failed"); 217 } 218 ierr = VecDestroy(&metric1);CHKERRQ(ierr); 219 ierr = VecGetDM(determinant, &dmDet);CHKERRQ(ierr); 220 ierr = VecDestroy(&determinant);CHKERRQ(ierr); 221 ierr = DMDestroy(&dmDet);CHKERRQ(ierr); 222 223 /* Test metric normalization */ 224 ierr = DMPlexMetricNormalize(dm, metric, PETSC_TRUE, PETSC_TRUE, &metric1);CHKERRQ(ierr); 225 if (isotropic) { 226 PetscReal target; 227 228 ierr = DMPlexMetricGetTargetComplexity(dm, &target);CHKERRQ(ierr); 229 scaling = PetscPowReal(target, 2.0/dim); 230 if (uniform) { 231 ierr = DMPlexMetricCreateUniform(dm, 0, scaling, &metric2);CHKERRQ(ierr); 232 } else { 233 DM dmIndi; 234 Vec indicator; 235 236 ierr = CreateIndicator(dm, &indicator, &dmIndi);CHKERRQ(ierr); 237 ierr = VecSet(indicator, scaling);CHKERRQ(ierr); 238 ierr = DMPlexMetricCreateIsotropic(dm, 0, indicator, &metric2);CHKERRQ(ierr); 239 ierr = DMDestroy(&dmIndi);CHKERRQ(ierr); 240 ierr = VecDestroy(&indicator);CHKERRQ(ierr); 241 } 242 ierr = VecAXPY(metric2, -1, metric1);CHKERRQ(ierr); 243 ierr = VecNorm(metric2, NORM_2, &errornorm);CHKERRQ(ierr); 244 errornorm /= norm; 245 ierr = PetscPrintf(comm, "Metric normalization L2 error: %.4f%%\n", 100*errornorm);CHKERRQ(ierr); 246 PetscCheckFalse(errornorm > tol,comm, PETSC_ERR_ARG_OUTOFRANGE, "Metric normalization test failed"); 247 } 248 ierr = VecCopy(metric1, metric);CHKERRQ(ierr); 249 ierr = VecDestroy(&metric2);CHKERRQ(ierr); 250 ierr = VecDestroy(&metric1);CHKERRQ(ierr); 251 } 252 253 /* Adapt the mesh */ 254 ierr = DMAdaptMetric(dm, metric, bdLabel, rgLabel, &dmAdapt);CHKERRQ(ierr); 255 ierr = DMDestroy(&dm);CHKERRQ(ierr); 256 ierr = PetscObjectSetName((PetscObject) dmAdapt, "DM_adapted");CHKERRQ(ierr); 257 ierr = VecDestroy(&metric);CHKERRQ(ierr); 258 ierr = DMViewFromOptions(dmAdapt, NULL, "-adapted_mesh_view");CHKERRQ(ierr); 259 260 /* Test tag preservation */ 261 if (!noTagging) { 262 PetscBool hasTag; 263 PetscInt size; 264 265 ierr = DMGetLabel(dmAdapt, "Face Sets", &bdLabel);CHKERRQ(ierr); 266 ierr = DMLabelHasStratum(bdLabel, 1, &hasTag);CHKERRQ(ierr); 267 PetscCheckFalse(!hasTag,comm, PETSC_ERR_ARG_OUTOFRANGE, "Adapted mesh does not have face tag 1"); 268 ierr = DMLabelHasStratum(bdLabel, 2, &hasTag);CHKERRQ(ierr); 269 PetscCheckFalse(!hasTag,comm, PETSC_ERR_ARG_OUTOFRANGE, "Adapted mesh does not have face tag 2"); 270 ierr = DMLabelGetNumValues(bdLabel, &size);CHKERRQ(ierr); 271 PetscCheckFalse(size != 2,comm, PETSC_ERR_ARG_OUTOFRANGE, "Adapted mesh has the wrong number of face tags (got %d, expected 2)", size); 272 273 ierr = DMGetLabel(dmAdapt, "Cell Sets", &rgLabel);CHKERRQ(ierr); 274 ierr = DMLabelHasStratum(rgLabel, 3, &hasTag);CHKERRQ(ierr); 275 PetscCheckFalse(!hasTag,comm, PETSC_ERR_ARG_OUTOFRANGE, "Adapted mesh does not have cell tag 3"); 276 ierr = DMLabelHasStratum(rgLabel, 4, &hasTag);CHKERRQ(ierr); 277 PetscCheckFalse(!hasTag,comm, PETSC_ERR_ARG_OUTOFRANGE, "Adapted mesh does not have cell tag 4"); 278 ierr = DMLabelGetNumValues(rgLabel, &size);CHKERRQ(ierr); 279 PetscCheckFalse(size != 2,comm, PETSC_ERR_ARG_OUTOFRANGE, "Adapted mesh has the wrong number of cell tags (got %d, expected 2)", size); 280 } 281 282 /* Clean up */ 283 ierr = DMDestroy(&dmAdapt);CHKERRQ(ierr); 284 ierr = PetscFinalize(); 285 return 0; 286 } 287 288 /*TEST 289 290 testset: 291 requires: pragmatic 292 args: -dm_plex_box_faces 4,4 -dm_plex_metric_target_complexity 100 -dm_adaptor pragmatic -noTagging 293 294 test: 295 suffix: uniform_2d_pragmatic 296 args: -dm_plex_metric_uniform 297 test: 298 suffix: iso_2d_pragmatic 299 args: -dm_plex_metric_isotropic 300 test: 301 suffix: hessian_2d_pragmatic 302 303 testset: 304 requires: pragmatic tetgen 305 args: -dm_plex_dim 3 -dm_plex_box_faces 4,4,4 -dm_plex_metric_target_complexity 100 -dm_adaptor pragmatic -noTagging 306 307 test: 308 suffix: uniform_3d_pragmatic 309 args: -dm_plex_metric_uniform -noTagging 310 test: 311 suffix: iso_3d_pragmatic 312 args: -dm_plex_metric_isotropic -noTagging 313 test: 314 suffix: hessian_3d_pragmatic 315 316 testset: 317 requires: mmg 318 args: -dm_plex_box_faces 4,4 -dm_plex_metric_target_complexity 100 -dm_adaptor mmg 319 320 test: 321 suffix: uniform_2d_mmg 322 args: -dm_plex_metric_uniform 323 test: 324 suffix: iso_2d_mmg 325 args: -dm_plex_metric_isotropic 326 test: 327 suffix: hessian_2d_mmg 328 329 testset: 330 requires: mmg tetgen 331 args: -dm_plex_dim 3 -dm_plex_box_faces 4,4,4 -dm_plex_metric_target_complexity 100 -dm_adaptor mmg 332 333 test: 334 suffix: uniform_3d_mmg 335 args: -dm_plex_metric_uniform 336 test: 337 suffix: iso_3d_mmg 338 args: -dm_plex_metric_isotropic 339 test: 340 suffix: hessian_3d_mmg 341 342 testset: 343 requires: parmmg tetgen 344 nsize: 2 345 args: -dm_plex_dim 3 -dm_plex_box_faces 4,4,4 -dm_plex_metric_target_complexity 100 -dm_adaptor parmmg 346 347 test: 348 suffix: uniform_3d_parmmg 349 args: -dm_plex_metric_uniform 350 test: 351 suffix: iso_3d_parmmg 352 args: -dm_plex_metric_isotropic 353 test: 354 suffix: hessian_3d_parmmg 355 356 TEST*/ 357