Date: 2022-03-31T04:47:54+00:00

Actual source code: dmfieldda.c

      1: #include <petsc/private/dmfieldimpl.h>
      2: #include <petsc/private/dmimpl.h>
      3: #include <petscdmda.h>

      5: typedef struct _n_DMField_DA
      6: {
      7:   PetscScalar     *cornerVals;
      8:   PetscScalar     *cornerCoeffs;
      9:   PetscScalar     *work;
     10:   PetscReal       coordRange[3][2];
     11: }
     12: DMField_DA;

     14: static PetscErrorCode DMFieldDestroy_DA(DMField field)
     15: {
     16:   DMField_DA     *dafield;

     18:   dafield = (DMField_DA *) field->data;
     19:   PetscFree3(dafield->cornerVals,dafield->cornerCoeffs,dafield->work);
     20:   PetscFree(dafield);
     21:   return 0;
     22: }

     24: static PetscErrorCode DMFieldView_DA(DMField field,PetscViewer viewer)
     25: {
     26:   DMField_DA     *dafield = (DMField_DA *) field->data;
     27:   PetscBool      iascii;

     29:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);
     30:   if (iascii) {
     31:     PetscInt i, c, dim;
     32:     PetscInt nc;
     33:     DM       dm = field->dm;

     35:     PetscViewerASCIIPrintf(viewer, "Field corner values:\n");
     36:     PetscViewerASCIIPushTab(viewer);
     37:     DMGetDimension(dm,&dim);
     38:     nc = field->numComponents;
     39:     for (i = 0, c = 0; i < (1 << dim); i++) {
     40:       PetscInt j;

     42:       for (j = 0; j < nc; j++, c++) {
     43:         PetscScalar val = dafield->cornerVals[nc * i + j];

     45: #if !defined(PETSC_USE_COMPLEX)
     46:         PetscViewerASCIIPrintf(viewer,"%g ",(double) val);
     47: #else
     48:         PetscViewerASCIIPrintf(viewer,"%g+i%g ",(double) PetscRealPart(val),(double) PetscImaginaryPart(val));
     49: #endif
     50:       }
     51:       PetscViewerASCIIPrintf(viewer,"\n");
     52:     }
     53:     PetscViewerASCIIPopTab(viewer);
     54:   }
     55:   return 0;
     56: }

     58: #define MEdot(y,A,x,m,c,cast)                          \
     59:   do {                                                 \
     60:     PetscInt _k, _l;                                   \
     61:     for (_k = 0; _k < (c); _k++) (y)[_k] = 0.;         \
     62:     for (_l = 0; _l < (m); _l++) {                     \
     63:       for (_k = 0; _k < (c); _k++) {                   \
     64:         (y)[_k] += cast((A)[(c) * _l + _k]) * (x)[_l]; \
     65:       }                                                \
     66:     }                                                  \
     67:   } while (0)

     69: #define MEHess(out,cf,etaB,etaD,dim,nc,cast)                      \
     70:   do {                                                            \
     71:     PetscInt _m, _j, _k;                                          \
     72:     for (_m = 0; _m < (nc) * (dim) * (dim); _m++) (out)[_m] = 0.; \
     73:     for (_j = 0; _j < (dim); _j++) {                              \
     74:       for (_k = _j + 1; _k < (dim); _k++) {                       \
     75:         PetscInt _ind = (1 << _j) + (1 << _k);                    \
     76:         for (_m = 0; _m < (nc); _m++) {                           \
     77:           PetscScalar c = (cf)[_m] * (etaB)[_ind] * (etaD)[_ind];   \
     78:           (out)[(_m * (dim) + _k) * (dim) + _j] += cast(c);       \
     79:           (out)[(_m * (dim) + _j) * (dim) + _k] += cast(c);       \
     80:         }                                                         \
     81:       }                                                           \
     82:     }                                                             \
     83:   } while (0)

     85: static void MultilinearEvaluate(PetscInt dim, PetscReal (*coordRange)[2], PetscInt nc, PetscScalar *cf, PetscScalar *cfWork, PetscInt nPoints, const PetscScalar *points, PetscDataType datatype, void *B, void *D, void *H)
     86: {
     87:   PetscInt i, j, k, l, m;
     88:   PetscInt  whol = 1 << dim;
     89:   PetscInt  half = whol >> 1;

     92:   if (!B && !D && !H) return;
     93:   for (i = 0; i < nPoints; i++) {
     94:     const PetscScalar *point = &points[dim * i];
     95:     PetscReal deta[3] = {0.};
     96:     PetscReal etaB[8] = {1.,1.,1.,1.,1.,1.,1.,1.};
     97:     PetscReal etaD[8] = {1.,1.,1.,1.,1.,1.,1.,1.};
     98:     PetscReal work[8];

    100:     for (j = 0; j < dim; j++) {
    101:       PetscReal e, d;

    103:       e = (PetscRealPart(point[j]) - coordRange[j][0]) / coordRange[j][1];
    104:       deta[j] = d = 1. / coordRange[j][1];
    105:       for (k = 0; k < whol; k++) {work[k] = etaB[k];}
    106:       for (k = 0; k < half; k++) {
    107:         etaB[k]        = work[2 * k] * e;
    108:         etaB[k + half] = work[2 * k + 1];
    109:       }
    110:       if (H) {
    111:         for (k = 0; k < whol; k++) {work[k] = etaD[k];}
    112:         for (k = 0; k < half; k++) {
    113:           etaD[k + half] = work[2 * k];
    114:           etaD[k       ] = work[2 * k + 1] * d;
    115:         }
    116:       }
    117:     }
    118:     if (B) {
    119:       if (datatype == PETSC_SCALAR) {
    120:         PetscScalar *out = &((PetscScalar *)B)[nc * i];

    122:         MEdot(out,cf,etaB,(1 << dim),nc,(PetscScalar));
    123:       } else {
    124:         PetscReal *out = &((PetscReal *)B)[nc * i];

    126:         MEdot(out,cf,etaB,(1 << dim),nc,PetscRealPart);
    127:       }
    128:     }
    129:     if (D) {
    130:       if (datatype == PETSC_SCALAR) {
    131:         PetscScalar *out = &((PetscScalar *)D)[nc * dim * i];

    133:         for (m = 0; m < nc * dim; m++) out[m] = 0.;
    134:       } else {
    135:         PetscReal *out = &((PetscReal *)D)[nc * dim * i];

    137:         for (m = 0; m < nc * dim; m++) out[m] = 0.;
    138:       }
    139:       for (j = 0; j < dim; j++) {
    140:         PetscReal d = deta[j];

    142:         for (k = 0; k < whol * nc; k++) {cfWork[k] = cf[k];}
    143:         for (k = 0; k < whol; k++) {work[k] = etaB[k];}
    144:         for (k = 0; k < half; k++) {
    145:           PetscReal e;

    147:           etaB[k]        =     work[2 * k];
    148:           etaB[k + half] = e = work[2 * k + 1];

    150:           for (l = 0; l < nc; l++) {
    151:             cf[ k         * nc + l] = cfWork[ 2 * k      * nc + l];
    152:             cf[(k + half) * nc + l] = cfWork[(2 * k + 1) * nc + l];
    153:           }
    154:           if (datatype == PETSC_SCALAR) {
    155:             PetscScalar *out = &((PetscScalar *)D)[nc * dim * i];

    157:             for (l = 0; l < nc; l++) {
    158:               out[l * dim + j] += d * e * cf[k * nc + l];
    159:             }
    160:           } else {
    161:             PetscReal *out = &((PetscReal *)D)[nc * dim * i];

    163:             for (l = 0; l < nc; l++) {
    164:               out[l * dim + j] += d * e * PetscRealPart(cf[k * nc + l]);
    165:             }
    166:           }
    167:         }
    168:       }
    169:     }
    170:     if (H) {
    171:       if (datatype == PETSC_SCALAR) {
    172:         PetscScalar *out = &((PetscScalar *)H)[nc * dim * dim * i];

    174:         MEHess(out,cf,etaB,etaD,dim,nc,(PetscScalar));
    175:       } else {
    176:         PetscReal *out = &((PetscReal *)H)[nc * dim * dim * i];

    178:         MEHess(out,cf,etaB,etaD,dim,nc,PetscRealPart);
    179:       }
    180:     }
    181:   }
    182:   return;
    183: }

    185: static PetscErrorCode DMFieldEvaluate_DA(DMField field, Vec points, PetscDataType datatype, void *B, void *D, void *H)
    186: {
    187:   DM             dm;
    188:   DMField_DA     *dafield;
    189:   PetscInt       dim;
    190:   PetscInt       N, n, nc;
    191:   const PetscScalar *array;
    192:   PetscReal (*coordRange)[2];

    194:   dm      = field->dm;
    195:   nc      = field->numComponents;
    196:   dafield = (DMField_DA *) field->data;
    197:   DMGetDimension(dm,&dim);
    198:   VecGetLocalSize(points,&N);
    200:   n = N / dim;
    201:   coordRange = &(dafield->coordRange[0]);
    202:   VecGetArrayRead(points,&array);
    203:   MultilinearEvaluate(dim,coordRange,nc,dafield->cornerCoeffs,dafield->work,n,array,datatype,B,D,H);
    204:   VecRestoreArrayRead(points,&array);
    205:   return 0;
    206: }

    208: static PetscErrorCode DMFieldEvaluateFE_DA(DMField field, IS cellIS, PetscQuadrature points, PetscDataType datatype, void *B, void *D, void *H)
    209: {
    210:   PetscInt       c, i, j, k, dim, cellsPer[3] = {0}, first[3] = {0}, whol, half;
    211:   PetscReal      stepPer[3] = {0.};
    212:   PetscReal      cellCoordRange[3][2] = {{0.,1.},{0.,1.},{0.,1.}};
    213:   PetscScalar    *cellCoeffs, *work;
    214:   DM             dm;
    215:   DMDALocalInfo  info;
    216:   PetscInt       cStart, cEnd;
    217:   PetscInt       nq, nc;
    218:   const PetscReal *q;
    219: #if defined(PETSC_USE_COMPLEX)
    220:   PetscScalar    *qs;
    221: #else
    222:   const PetscScalar *qs;
    223: #endif
    224:   DMField_DA     *dafield;
    225:   PetscBool      isStride;
    226:   const PetscInt *cells = NULL;
    227:   PetscInt       sfirst = -1, stride = -1, nCells;

    229:   dafield = (DMField_DA *) field->data;
    230:   dm = field->dm;
    231:   nc = field->numComponents;
    232:   DMDAGetLocalInfo(dm,&info);
    233:   dim = info.dim;
    234:   work = dafield->work;
    235:   stepPer[0] = 1./ info.mx;
    236:   stepPer[1] = 1./ info.my;
    237:   stepPer[2] = 1./ info.mz;
    238:   first[0] = info.gxs;
    239:   first[1] = info.gys;
    240:   first[2] = info.gzs;
    241:   cellsPer[0] = info.gxm;
    242:   cellsPer[1] = info.gym;
    243:   cellsPer[2] = info.gzm;
    244:   /* TODO: probably take components into account */
    245:   PetscQuadratureGetData(points, NULL, NULL, &nq, &q, NULL);
    246: #if defined(PETSC_USE_COMPLEX)
    247:   DMGetWorkArray(dm,nq * dim,MPIU_SCALAR,&qs);
    248:   for (i = 0; i < nq * dim; i++) qs[i] = q[i];
    249: #else
    250:   qs = q;
    251: #endif
    252:   DMDAGetHeightStratum(dm,0,&cStart,&cEnd);
    253:   DMGetWorkArray(dm,(1 << dim) * nc,MPIU_SCALAR,&cellCoeffs);
    254:   whol = (1 << dim);
    255:   half = whol >> 1;
    256:   ISGetLocalSize(cellIS,&nCells);
    257:   PetscObjectTypeCompare((PetscObject)cellIS,ISSTRIDE,&isStride);
    258:   if (isStride) {
    259:     ISStrideGetInfo(cellIS,&sfirst,&stride);
    260:   } else {
    261:     ISGetIndices(cellIS,&cells);
    262:   }
    263:   for (c = 0; c < nCells; c++) {
    264:     PetscInt  cell = isStride ? (sfirst + c * stride) : cells[c];
    265:     PetscInt  rem  = cell;
    266:     PetscInt  ijk[3] = {0};
    267:     void *cB, *cD, *cH;

    269:     if (datatype == PETSC_SCALAR) {
    270:       cB = B ? &((PetscScalar *)B)[nc * nq * c] : NULL;
    271:       cD = D ? &((PetscScalar *)D)[nc * nq * dim * c] : NULL;
    272:       cH = H ? &((PetscScalar *)H)[nc * nq * dim * dim * c] : NULL;
    273:     } else {
    274:       cB = B ? &((PetscReal *)B)[nc * nq * c] : NULL;
    275:       cD = D ? &((PetscReal *)D)[nc * nq * dim * c] : NULL;
    276:       cH = H ? &((PetscReal *)H)[nc * nq * dim * dim * c] : NULL;
    277:     }
    279:     for (i = 0; i < nc * whol; i++) {work[i] = dafield->cornerCoeffs[i];}
    280:     for (j = 0; j < dim; j++) {
    281:       PetscReal e, d;
    282:       ijk[j] = (rem % cellsPer[j]);
    283:       rem /= cellsPer[j];

    285:       e = 2. * (ijk[j] + first[j] + 0.5) * stepPer[j] - 1.;
    286:       d = stepPer[j];
    287:       for (i = 0; i < half; i++) {
    288:         for (k = 0; k < nc; k++) {
    289:           cellCoeffs[ i         * nc + k] = work[ 2 * i * nc + k] * d;
    290:           cellCoeffs[(i + half) * nc + k] = work[ 2 * i * nc + k] * e + work[(2 * i + 1) * nc + k];
    291:         }
    292:       }
    293:       for (i = 0; i < whol * nc; i++) {work[i] = cellCoeffs[i];}
    294:     }
    295:     MultilinearEvaluate(dim,cellCoordRange,nc,cellCoeffs,dafield->work,nq,qs,datatype,cB,cD,cH);
    296:   }
    297:   if (!isStride) {
    298:     ISRestoreIndices(cellIS,&cells);
    299:   }
    300:   DMRestoreWorkArray(dm,(1 << dim) * nc,MPIU_SCALAR,&cellCoeffs);
    301: #if defined(PETSC_USE_COMPLEX)
    302:   DMRestoreWorkArray(dm,nq * dim,MPIU_SCALAR,&qs);
    303: #endif
    304:   return 0;
    305: }

    307: static PetscErrorCode DMFieldEvaluateFV_DA(DMField field, IS cellIS, PetscDataType datatype, void *B, void *D, void *H)
    308: {
    309:   PetscInt       c, i, dim, cellsPer[3] = {0}, first[3] = {0};
    310:   PetscReal      stepPer[3] = {0.};
    311:   DM             dm;
    312:   DMDALocalInfo  info;
    313:   PetscInt       cStart, cEnd, numCells;
    314:   PetscInt       nc;
    315:   PetscScalar    *points;
    316:   DMField_DA     *dafield;
    317:   PetscBool      isStride;
    318:   const PetscInt *cells = NULL;
    319:   PetscInt       sfirst = -1, stride = -1;

    321:   dafield = (DMField_DA *) field->data;
    322:   dm = field->dm;
    323:   nc = field->numComponents;
    324:   DMDAGetLocalInfo(dm,&info);
    325:   dim = info.dim;
    326:   stepPer[0] = 1./ info.mx;
    327:   stepPer[1] = 1./ info.my;
    328:   stepPer[2] = 1./ info.mz;
    329:   first[0] = info.gxs;
    330:   first[1] = info.gys;
    331:   first[2] = info.gzs;
    332:   cellsPer[0] = info.gxm;
    333:   cellsPer[1] = info.gym;
    334:   cellsPer[2] = info.gzm;
    335:   DMDAGetHeightStratum(dm,0,&cStart,&cEnd);
    336:   ISGetLocalSize(cellIS,&numCells);
    337:   DMGetWorkArray(dm,dim * numCells,MPIU_SCALAR,&points);
    338:   PetscObjectTypeCompare((PetscObject)cellIS,ISSTRIDE,&isStride);
    339:   if (isStride) {
    340:     ISStrideGetInfo(cellIS,&sfirst,&stride);
    341:   } else {
    342:     ISGetIndices(cellIS,&cells);
    343:   }
    344:   for (c = 0; c < numCells; c++) {
    345:     PetscInt  cell = isStride ? (sfirst + c * stride) : cells[c];
    346:     PetscInt  rem  = cell;
    347:     PetscInt  ijk[3] = {0};

    350:     for (i = 0; i < dim; i++) {
    351:       ijk[i] = (rem % cellsPer[i]);
    352:       rem /= cellsPer[i];
    353:       points[dim * c + i] = (ijk[i] + first[i] + 0.5) * stepPer[i];
    354:     }
    355:   }
    356:   if (!isStride) {
    357:     ISRestoreIndices(cellIS,&cells);
    358:   }
    359:   MultilinearEvaluate(dim,dafield->coordRange,nc,dafield->cornerCoeffs,dafield->work,numCells,points,datatype,B,D,H);
    360:   DMRestoreWorkArray(dm,dim * numCells,MPIU_SCALAR,&points);
    361:   return 0;
    362: }

    364: static PetscErrorCode DMFieldGetDegree_DA(DMField field, IS pointIS, PetscInt *minDegree, PetscInt *maxDegree)
    365: {
    366:   DM             dm;
    367:   PetscInt       dim, h, imin;

    369:   dm = field->dm;
    370:   ISGetMinMax(pointIS,&imin,NULL);
    371:   DMGetDimension(dm,&dim);
    372:   for (h = 0; h <= dim; h++) {
    373:     PetscInt hEnd;

    375:     DMDAGetHeightStratum(dm,h,NULL,&hEnd);
    376:     if (imin < hEnd) break;
    377:   }
    378:   dim -= h;
    379:   if (minDegree) *minDegree = 1;
    380:   if (maxDegree) *maxDegree = dim;
    381:   return 0;
    382: }

    384: static PetscErrorCode DMFieldCreateDefaultQuadrature_DA(DMField field, IS cellIS, PetscQuadrature *quad)
    385: {
    386:   PetscInt       h, dim, imax, imin;
    387:   DM             dm;

    389:   dm = field->dm;
    390:   ISGetMinMax(cellIS,&imin,&imax);
    391:   DMGetDimension(dm,&dim);
    392:   *quad = NULL;
    393:   for (h = 0; h <= dim; h++) {
    394:     PetscInt hStart, hEnd;

    396:     DMDAGetHeightStratum(dm,h,&hStart,&hEnd);
    397:     if (imin >= hStart && imax < hEnd) break;
    398:   }
    399:   dim -= h;
    400:   if (dim > 0) {
    401:     PetscDTGaussTensorQuadrature(dim, 1, 1, -1.0, 1.0, quad);
    402:   }

    404:   return 0;
    405: }

    407: static PetscErrorCode DMFieldInitialize_DA(DMField field)
    408: {
    409:   DM             dm;
    410:   Vec            coords = NULL;
    411:   PetscInt       dim, i, j, k;
    412:   DMField_DA     *dafield = (DMField_DA *) field->data;

    414:   field->ops->destroy                 = DMFieldDestroy_DA;
    415:   field->ops->evaluate                = DMFieldEvaluate_DA;
    416:   field->ops->evaluateFE              = DMFieldEvaluateFE_DA;
    417:   field->ops->evaluateFV              = DMFieldEvaluateFV_DA;
    418:   field->ops->getDegree               = DMFieldGetDegree_DA;
    419:   field->ops->createDefaultQuadrature = DMFieldCreateDefaultQuadrature_DA;
    420:   field->ops->view                    = DMFieldView_DA;
    421:   dm = field->dm;
    422:   DMGetDimension(dm,&dim);
    423:   if (dm->coordinates) coords = dm->coordinates;
    424:   else if (dm->coordinatesLocal) coords = dm->coordinatesLocal;
    425:   if (coords) {
    426:     PetscInt          n;
    427:     const PetscScalar *array;
    428:     PetscReal         mins[3][2] = {{PETSC_MAX_REAL,PETSC_MAX_REAL},{PETSC_MAX_REAL,PETSC_MAX_REAL},{PETSC_MAX_REAL,PETSC_MAX_REAL}};

    430:     VecGetLocalSize(coords,&n);
    431:     n /= dim;
    432:     VecGetArrayRead(coords,&array);
    433:     for (i = 0, k = 0; i < n; i++) {
    434:       for (j = 0; j < dim; j++, k++) {
    435:         PetscReal val = PetscRealPart(array[k]);

    437:         mins[j][0] = PetscMin(mins[j][0],val);
    438:         mins[j][1] = PetscMin(mins[j][1],-val);
    439:       }
    440:     }
    441:     VecRestoreArrayRead(coords,&array);
    442:     MPIU_Allreduce((PetscReal *) mins,&(dafield->coordRange[0][0]),2*dim,MPIU_REAL,MPI_MIN,PetscObjectComm((PetscObject)dm));
    443:     for (j = 0; j < dim; j++) {
    444:       dafield->coordRange[j][1] = -dafield->coordRange[j][1];
    445:     }
    446:   } else {
    447:     for (j = 0; j < dim; j++) {
    448:       dafield->coordRange[j][0] = 0.;
    449:       dafield->coordRange[j][1] = 1.;
    450:     }
    451:   }
    452:   for (j = 0; j < dim; j++) {
    453:     PetscReal avg = 0.5 * (dafield->coordRange[j][1] + dafield->coordRange[j][0]);
    454:     PetscReal dif = 0.5 * (dafield->coordRange[j][1] - dafield->coordRange[j][0]);

    456:     dafield->coordRange[j][0] = avg;
    457:     dafield->coordRange[j][1] = dif;
    458:   }
    459:   return 0;
    460: }

    462: PETSC_INTERN PetscErrorCode DMFieldCreate_DA(DMField field)
    463: {
    464:   DMField_DA     *dafield;

    466:   PetscNewLog(field,&dafield);
    467:   field->data = dafield;
    468:   DMFieldInitialize_DA(field);
    469:   return 0;
    470: }

    472: PetscErrorCode DMFieldCreateDA(DM dm, PetscInt nc, const PetscScalar *cornerValues,DMField *field)
    473: {
    474:   DMField        b;
    475:   DMField_DA     *dafield;
    476:   PetscInt       dim, nv, i, j, k;
    477:   PetscInt       half;
    478:   PetscScalar    *cv, *cf, *work;

    480:   DMFieldCreate(dm,nc,DMFIELD_VERTEX,&b);
    481:   DMFieldSetType(b,DMFIELDDA);
    482:   dafield = (DMField_DA *) b->data;
    483:   DMGetDimension(dm,&dim);
    484:   nv = (1 << dim) * nc;
    485:   PetscMalloc3(nv,&cv,nv,&cf,nv,&work);
    486:   for (i = 0; i < nv; i++) cv[i] = cornerValues[i];
    487:   for (i = 0; i < nv; i++) cf[i] = cv[i];
    488:   dafield->cornerVals = cv;
    489:   dafield->cornerCoeffs = cf;
    490:   dafield->work = work;
    491:   half = (1 << (dim - 1));
    492:   for (i = 0; i < dim; i++) {
    493:     PetscScalar *w;

    495:     w = work;
    496:     for (j = 0; j < half; j++) {
    497:       for (k = 0; k < nc; k++) {
    498:         w[j * nc + k] = 0.5 * (cf[(2 * j + 1) * nc + k] - cf[(2 * j) * nc + k]);
    499:       }
    500:     }
    501:     w = &work[j * nc];
    502:     for (j = 0; j < half; j++) {
    503:       for (k = 0; k < nc; k++) {
    504:         w[j * nc + k] = 0.5 * (cf[(2 * j) * nc + k] + cf[(2 * j + 1) * nc + k]);
    505:       }
    506:     }
    507:     for (j = 0; j < nv; j++) {cf[j] = work[j];}
    508:   }
    509:   *field = b;
    510:   return 0;
    511: }