Date: 2021-03-03T22:26:50+00:00

Actual source code: plexinterpolate.c
petsc-3.14.5 2021-03-03
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      1: #include <petsc/private/dmpleximpl.h>
      2: #include <petsc/private/hashmapi.h>
      3: #include <petsc/private/hashmapij.h>

      5: const char * const DMPlexInterpolatedFlags[] = {"none", "partial", "mixed", "full", "DMPlexInterpolatedFlag", "DMPLEX_INTERPOLATED_", NULL};

      7: /* HashIJKL */

      9: #include <petsc/private/hashmap.h>

     11: typedef struct _PetscHashIJKLKey { PetscInt i, j, k, l; } PetscHashIJKLKey;

     13: #define PetscHashIJKLKeyHash(key) \
     14:   PetscHashCombine(PetscHashCombine(PetscHashInt((key).i),PetscHashInt((key).j)), \
     15:                    PetscHashCombine(PetscHashInt((key).k),PetscHashInt((key).l)))

     17: #define PetscHashIJKLKeyEqual(k1,k2) \
     18:   (((k1).i==(k2).i) ? ((k1).j==(k2).j) ? ((k1).k==(k2).k) ? ((k1).l==(k2).l) : 0 : 0 : 0)

     20: PETSC_HASH_MAP(HashIJKL, PetscHashIJKLKey, PetscInt, PetscHashIJKLKeyHash, PetscHashIJKLKeyEqual, -1)

     22: static PetscSFNode _PetscInvalidSFNode = {-1, -1};

     24: typedef struct _PetscHashIJKLRemoteKey { PetscSFNode i, j, k, l; } PetscHashIJKLRemoteKey;

     26: #define PetscHashIJKLRemoteKeyHash(key) \
     27:   PetscHashCombine(PetscHashCombine(PetscHashInt((key).i.rank + (key).i.index),PetscHashInt((key).j.rank + (key).j.index)), \
     28:                    PetscHashCombine(PetscHashInt((key).k.rank + (key).k.index),PetscHashInt((key).l.rank + (key).l.index)))

     30: #define PetscHashIJKLRemoteKeyEqual(k1,k2) \
     31:   (((k1).i.rank==(k2).i.rank) ? ((k1).i.index==(k2).i.index) ? ((k1).j.rank==(k2).j.rank) ? ((k1).j.index==(k2).j.index) ? ((k1).k.rank==(k2).k.rank) ? ((k1).k.index==(k2).k.index) ? ((k1).l.rank==(k2).l.rank) ? ((k1).l.index==(k2).l.index) : 0 : 0 : 0 : 0 : 0 : 0 : 0)

     33: PETSC_HASH_MAP(HashIJKLRemote, PetscHashIJKLRemoteKey, PetscSFNode, PetscHashIJKLRemoteKeyHash, PetscHashIJKLRemoteKeyEqual, _PetscInvalidSFNode)

     35: static PetscErrorCode PetscSortSFNode(PetscInt n, PetscSFNode A[])
     36: {
     37:   PetscInt i;

     40:   for (i = 1; i < n; ++i) {
     41:     PetscSFNode x = A[i];
     42:     PetscInt    j;

     44:     for (j = i-1; j >= 0; --j) {
     45:       if ((A[j].rank > x.rank) || (A[j].rank == x.rank && A[j].index > x.index)) break;
     46:       A[j+1] = A[j];
     47:     }
     48:     A[j+1] = x;
     49:   }
     50:   return(0);
     51: }

     53: /*
     54:   DMPlexGetRawFaces_Internal - Gets groups of vertices that correspond to faces for the given cone
     55: */
     56: PetscErrorCode DMPlexGetRawFaces_Internal(DM dm, DMPolytopeType ct, const PetscInt cone[], PetscInt *numFaces, const DMPolytopeType *faceTypes[], const PetscInt *faceSizes[], const PetscInt *faces[])
     57: {
     58:   DMPolytopeType *typesTmp;
     59:   PetscInt       *sizesTmp, *facesTmp;
     60:   PetscInt        maxConeSize, maxSupportSize;
     61:   PetscErrorCode  ierr;

     66:   DMPlexGetMaxSizes(dm, &maxConeSize, &maxSupportSize);
     67:   if (faceTypes) {DMGetWorkArray(dm, PetscMax(maxConeSize, maxSupportSize),           MPIU_INT, &typesTmp);}
     68:   if (faceSizes) {DMGetWorkArray(dm, PetscMax(maxConeSize, maxSupportSize),           MPIU_INT, &sizesTmp);}
     69:   if (faces)     {DMGetWorkArray(dm, PetscSqr(PetscMax(maxConeSize, maxSupportSize)), MPIU_INT, &facesTmp);}
     70:   switch (ct) {
     71:     case DM_POLYTOPE_POINT:
     72:       if (numFaces) *numFaces = 0;
     73:       break;
     74:     case DM_POLYTOPE_SEGMENT:
     75:       if (numFaces) *numFaces = 2;
     76:       if (faceTypes) {
     77:         typesTmp[0] = DM_POLYTOPE_POINT; typesTmp[1] = DM_POLYTOPE_POINT;
     78:         *faceTypes = typesTmp;
     79:       }
     80:       if (faceSizes) {
     81:         sizesTmp[0] = 1; sizesTmp[1] = 1;
     82:         *faceSizes = sizesTmp;
     83:       }
     84:       if (faces) {
     85:         facesTmp[0] = cone[0]; facesTmp[1] = cone[1];
     86:         *faces = facesTmp;
     87:       }
     88:       break;
     89:     case DM_POLYTOPE_POINT_PRISM_TENSOR:
     90:       if (numFaces) *numFaces = 2;
     91:       if (faceTypes) {
     92:         typesTmp[0] = DM_POLYTOPE_POINT; typesTmp[1] = DM_POLYTOPE_POINT;
     93:         *faceTypes = typesTmp;
     94:       }
     95:       if (faceSizes) {
     96:         sizesTmp[0] = 1; sizesTmp[1] = 1;
     97:         *faceSizes = sizesTmp;
     98:       }
     99:       if (faces) {
    100:         facesTmp[0] = cone[0]; facesTmp[1] = cone[1];
    101:         *faces = facesTmp;
    102:       }
    103:       break;
    104:     case DM_POLYTOPE_TRIANGLE:
    105:       if (numFaces) *numFaces = 3;
    106:       if (faceTypes) {
    107:         typesTmp[0] = DM_POLYTOPE_SEGMENT; typesTmp[1] = DM_POLYTOPE_SEGMENT; typesTmp[2] = DM_POLYTOPE_SEGMENT;
    108:         *faceTypes = typesTmp;
    109:       }
    110:       if (faceSizes) {
    111:         sizesTmp[0] = 2; sizesTmp[1] = 2; sizesTmp[2] = 2;
    112:         *faceSizes = sizesTmp;
    113:       }
    114:       if (faces) {
    115:         facesTmp[0] = cone[0]; facesTmp[1] = cone[1];
    116:         facesTmp[2] = cone[1]; facesTmp[3] = cone[2];
    117:         facesTmp[4] = cone[2]; facesTmp[5] = cone[0];
    118:         *faces = facesTmp;
    119:       }
    120:       break;
    121:     case DM_POLYTOPE_QUADRILATERAL:
    122:       /* Vertices follow right hand rule */
    123:       if (numFaces) *numFaces = 4;
    124:       if (faceTypes) {
    125:         typesTmp[0] = DM_POLYTOPE_SEGMENT; typesTmp[1] = DM_POLYTOPE_SEGMENT; typesTmp[2] = DM_POLYTOPE_SEGMENT; typesTmp[3] = DM_POLYTOPE_SEGMENT;
    126:         *faceTypes = typesTmp;
    127:       }
    128:       if (faceSizes) {
    129:         sizesTmp[0] = 2; sizesTmp[1] = 2; sizesTmp[2] = 2; sizesTmp[3] = 2;
    130:         *faceSizes = sizesTmp;
    131:       }
    132:       if (faces) {
    133:         facesTmp[0] = cone[0]; facesTmp[1] = cone[1];
    134:         facesTmp[2] = cone[1]; facesTmp[3] = cone[2];
    135:         facesTmp[4] = cone[2]; facesTmp[5] = cone[3];
    136:         facesTmp[6] = cone[3]; facesTmp[7] = cone[0];
    137:         *faces = facesTmp;
    138:       }
    139:       break;
    140:     case DM_POLYTOPE_SEG_PRISM_TENSOR:
    141:       if (numFaces) *numFaces = 4;
    142:       if (faceTypes) {
    143:         typesTmp[0] = DM_POLYTOPE_SEGMENT; typesTmp[1] = DM_POLYTOPE_SEGMENT; typesTmp[2] = DM_POLYTOPE_POINT_PRISM_TENSOR; typesTmp[3] = DM_POLYTOPE_POINT_PRISM_TENSOR;
    144:         *faceTypes = typesTmp;
    145:       }
    146:       if (faceSizes) {
    147:         sizesTmp[0] = 2; sizesTmp[1] = 2; sizesTmp[2] = 2; sizesTmp[3] = 2;
    148:         *faceSizes = sizesTmp;
    149:       }
    150:       if (faces) {
    151:         facesTmp[0] = cone[0]; facesTmp[1] = cone[1];
    152:         facesTmp[2] = cone[2]; facesTmp[3] = cone[3];
    153:         facesTmp[4] = cone[0]; facesTmp[5] = cone[2];
    154:         facesTmp[6] = cone[1]; facesTmp[7] = cone[3];
    155:         *faces = facesTmp;
    156:       }
    157:       break;
    158:     case DM_POLYTOPE_TETRAHEDRON:
    159:       /* Vertices of first face follow right hand rule and normal points away from last vertex */
    160:       if (numFaces) *numFaces = 4;
    161:       if (faceTypes) {
    162:         typesTmp[0] = DM_POLYTOPE_TRIANGLE; typesTmp[1] = DM_POLYTOPE_TRIANGLE; typesTmp[2] = DM_POLYTOPE_TRIANGLE; typesTmp[3] = DM_POLYTOPE_TRIANGLE;
    163:         *faceTypes = typesTmp;
    164:       }
    165:       if (faceSizes) {
    166:         sizesTmp[0] = 3; sizesTmp[1] = 3; sizesTmp[2] = 3; sizesTmp[3] = 3;
    167:         *faceSizes = sizesTmp;
    168:       }
    169:       if (faces) {
    170:         facesTmp[0] = cone[0]; facesTmp[1]  = cone[1]; facesTmp[2]  = cone[2];
    171:         facesTmp[3] = cone[0]; facesTmp[4]  = cone[3]; facesTmp[5]  = cone[1];
    172:         facesTmp[6] = cone[0]; facesTmp[7]  = cone[2]; facesTmp[8]  = cone[3];
    173:         facesTmp[9] = cone[2]; facesTmp[10] = cone[1]; facesTmp[11] = cone[3];
    174:         *faces = facesTmp;
    175:       }
    176:       break;
    177:     case DM_POLYTOPE_HEXAHEDRON:
    178:       /*  7--------6
    179:          /|       /|
    180:         / |      / |
    181:        4--------5  |
    182:        |  |     |  |
    183:        |  |     |  |
    184:        |  1--------2
    185:        | /      | /
    186:        |/       |/
    187:        0--------3
    188:        */
    189:       if (numFaces) *numFaces = 6;
    190:       if (faceTypes) {
    191:         typesTmp[0] = DM_POLYTOPE_QUADRILATERAL; typesTmp[1] = DM_POLYTOPE_QUADRILATERAL; typesTmp[2] = DM_POLYTOPE_QUADRILATERAL;
    192:         typesTmp[3] = DM_POLYTOPE_QUADRILATERAL; typesTmp[4] = DM_POLYTOPE_QUADRILATERAL; typesTmp[5] = DM_POLYTOPE_QUADRILATERAL;
    193:         *faceTypes = typesTmp;
    194:       }
    195:       if (faceSizes) {
    196:         sizesTmp[0] = 4; sizesTmp[1] = 4; sizesTmp[2] = 4; sizesTmp[3] = 4; sizesTmp[4] = 4; sizesTmp[5] = 4;
    197:         *faceSizes = sizesTmp;
    198:       }
    199:       if (faces) {
    200:         facesTmp[0]  = cone[0]; facesTmp[1]  = cone[1]; facesTmp[2]  = cone[2]; facesTmp[3]  = cone[3]; /* Bottom */
    201:         facesTmp[4]  = cone[4]; facesTmp[5]  = cone[5]; facesTmp[6]  = cone[6]; facesTmp[7]  = cone[7]; /* Top */
    202:         facesTmp[8]  = cone[0]; facesTmp[9]  = cone[3]; facesTmp[10] = cone[5]; facesTmp[11] = cone[4]; /* Front */
    203:         facesTmp[12] = cone[2]; facesTmp[13] = cone[1]; facesTmp[14] = cone[7]; facesTmp[15] = cone[6]; /* Back */
    204:         facesTmp[16] = cone[3]; facesTmp[17] = cone[2]; facesTmp[18] = cone[6]; facesTmp[19] = cone[5]; /* Right */
    205:         facesTmp[20] = cone[0]; facesTmp[21] = cone[4]; facesTmp[22] = cone[7]; facesTmp[23] = cone[1]; /* Left */
    206:         *faces = facesTmp;
    207:       }
    208:       break;
    209:     case DM_POLYTOPE_TRI_PRISM:
    210:       if (numFaces) *numFaces = 5;
    211:       if (faceTypes) {
    212:         typesTmp[0] = DM_POLYTOPE_TRIANGLE; typesTmp[1] = DM_POLYTOPE_TRIANGLE;
    213:         typesTmp[2] = DM_POLYTOPE_QUADRILATERAL; typesTmp[3] = DM_POLYTOPE_QUADRILATERAL; typesTmp[4] = DM_POLYTOPE_QUADRILATERAL;
    214:         *faceTypes = typesTmp;
    215:       }
    216:       if (faceSizes) {
    217:         sizesTmp[0] = 3; sizesTmp[1] = 3;
    218:         sizesTmp[2] = 4; sizesTmp[3] = 4; sizesTmp[4] = 4;
    219:         *faceSizes = sizesTmp;
    220:       }
    221:       if (faces) {
    222:         facesTmp[0]  = cone[0]; facesTmp[1]  = cone[1]; facesTmp[2]  = cone[2];                         /* Bottom */
    223:         facesTmp[3]  = cone[3]; facesTmp[4]  = cone[4]; facesTmp[5]  = cone[5];                         /* Top */
    224:         facesTmp[6]  = cone[0]; facesTmp[7]  = cone[2]; facesTmp[8]  = cone[4]; facesTmp[9]  = cone[3]; /* Back left */
    225:         facesTmp[10] = cone[2]; facesTmp[11] = cone[1]; facesTmp[12] = cone[5]; facesTmp[13] = cone[4]; /* Front */
    226:         facesTmp[14] = cone[1]; facesTmp[15] = cone[0]; facesTmp[16] = cone[3]; facesTmp[17] = cone[5]; /* Back right */
    227:         *faces = facesTmp;
    228:       }
    229:       break;
    230:     case DM_POLYTOPE_TRI_PRISM_TENSOR:
    231:       if (numFaces)     *numFaces = 5;
    232:       if (faceTypes) {
    233:         typesTmp[0] = DM_POLYTOPE_TRIANGLE; typesTmp[1] = DM_POLYTOPE_TRIANGLE;
    234:         typesTmp[2] = DM_POLYTOPE_SEG_PRISM_TENSOR; typesTmp[3] = DM_POLYTOPE_SEG_PRISM_TENSOR; typesTmp[4] = DM_POLYTOPE_SEG_PRISM_TENSOR;
    235:         *faceTypes = typesTmp;
    236:       }
    237:       if (faceSizes) {
    238:         sizesTmp[0] = 3; sizesTmp[1] = 3;
    239:         sizesTmp[2] = 4; sizesTmp[3] = 4; sizesTmp[4] = 4;
    240:         *faceSizes = sizesTmp;
    241:       }
    242:       if (faces) {
    243:         facesTmp[0]  = cone[0]; facesTmp[1]  = cone[1]; facesTmp[2]  = cone[2];                         /* Bottom */
    244:         facesTmp[3]  = cone[3]; facesTmp[4]  = cone[4]; facesTmp[5]  = cone[5];                         /* Top */
    245:         facesTmp[6]  = cone[0]; facesTmp[7]  = cone[1]; facesTmp[8]  = cone[3]; facesTmp[9]  = cone[4]; /* Back left */
    246:         facesTmp[10] = cone[1]; facesTmp[11] = cone[2]; facesTmp[12] = cone[4]; facesTmp[13] = cone[5]; /* Back right */
    247:         facesTmp[14] = cone[2]; facesTmp[15] = cone[0]; facesTmp[16] = cone[5]; facesTmp[17] = cone[3]; /* Front */
    248:         *faces = facesTmp;
    249:       }
    250:       break;
    251:     case DM_POLYTOPE_QUAD_PRISM_TENSOR:
    252:       /*  7--------6
    253:          /|       /|
    254:         / |      / |
    255:        4--------5  |
    256:        |  |     |  |
    257:        |  |     |  |
    258:        |  3--------2
    259:        | /      | /
    260:        |/       |/
    261:        0--------1
    262:        */
    263:       if (numFaces) *numFaces = 6;
    264:       if (faceTypes) {
    265:         typesTmp[0] = DM_POLYTOPE_QUADRILATERAL;    typesTmp[1] = DM_POLYTOPE_QUADRILATERAL;    typesTmp[2] = DM_POLYTOPE_SEG_PRISM_TENSOR;
    266:         typesTmp[3] = DM_POLYTOPE_SEG_PRISM_TENSOR; typesTmp[4] = DM_POLYTOPE_SEG_PRISM_TENSOR; typesTmp[5] = DM_POLYTOPE_SEG_PRISM_TENSOR;
    267:         *faceTypes = typesTmp;
    268:       }
    269:       if (faceSizes) {
    270:         sizesTmp[0] = 4; sizesTmp[1] = 4; sizesTmp[2] = 4; sizesTmp[3] = 4; sizesTmp[4] = 4; sizesTmp[5] = 4;
    271:         *faceSizes = sizesTmp;
    272:       }
    273:       if (faces) {
    274:         facesTmp[0]  = cone[0]; facesTmp[1]  = cone[1]; facesTmp[2]  = cone[2]; facesTmp[3]  = cone[3]; /* Bottom */
    275:         facesTmp[4]  = cone[4]; facesTmp[5]  = cone[5]; facesTmp[6]  = cone[6]; facesTmp[7]  = cone[7]; /* Top */
    276:         facesTmp[8]  = cone[0]; facesTmp[9]  = cone[1]; facesTmp[10] = cone[4]; facesTmp[11] = cone[5]; /* Front */
    277:         facesTmp[12] = cone[1]; facesTmp[13] = cone[2]; facesTmp[14] = cone[5]; facesTmp[15] = cone[6]; /* Right */
    278:         facesTmp[16] = cone[2]; facesTmp[17] = cone[3]; facesTmp[18] = cone[6]; facesTmp[19] = cone[7]; /* Back */
    279:         facesTmp[20] = cone[3]; facesTmp[21] = cone[0]; facesTmp[22] = cone[7]; facesTmp[23] = cone[4]; /* Left */
    280:         *faces = facesTmp;
    281:       }
    282:       break;
    283:     default: SETERRQ1(PetscObjectComm((PetscObject) dm), PETSC_ERR_ARG_OUTOFRANGE, "No face description for cell type %s", DMPolytopeTypes[ct]);
    284:   }
    285:   return(0);
    286: }

    288: PetscErrorCode DMPlexRestoreRawFaces_Internal(DM dm, DMPolytopeType ct, const PetscInt cone[], PetscInt *numFaces, const DMPolytopeType *faceTypes[], const PetscInt *faceSizes[], const PetscInt *faces[])
    289: {
    290:   PetscErrorCode  ierr;

    293:   if (faceTypes) {DMRestoreWorkArray(dm, 0, MPIU_INT, (void *) faceTypes);}
    294:   if (faceSizes) {DMRestoreWorkArray(dm, 0, MPIU_INT, (void *) faceSizes);}
    295:   if (faces)     {DMRestoreWorkArray(dm, 0, MPIU_INT, (void *) faces);}
    296:   return(0);
    297: }

    299: /* This interpolates faces for cells at some stratum */
    300: static PetscErrorCode DMPlexInterpolateFaces_Internal(DM dm, PetscInt cellDepth, DM idm)
    301: {
    302:   DMLabel        ctLabel;
    303:   PetscHashIJKL  faceTable;
    304:   PetscInt       faceTypeNum[DM_NUM_POLYTOPES];
    305:   PetscInt       depth, d, Np, cStart, cEnd, c, fStart, fEnd;

    309:   DMPlexGetDepth(dm, &depth);
    310:   PetscHashIJKLCreate(&faceTable);
    311:   PetscArrayzero(faceTypeNum, DM_NUM_POLYTOPES);
    312:   DMPlexGetDepthStratum(dm, cellDepth, &cStart, &cEnd);
    313:   /* Number new faces and save face vertices in hash table */
    314:   DMPlexGetDepthStratum(dm, depth > cellDepth ? cellDepth : 0, NULL, &fStart);
    315:   fEnd = fStart;
    316:   for (c = cStart; c < cEnd; ++c) {
    317:     const PetscInt       *cone, *faceSizes, *faces;
    318:     const DMPolytopeType *faceTypes;
    319:     DMPolytopeType        ct;
    320:     PetscInt              numFaces, cf, foff = 0;

    322:     DMPlexGetCellType(dm, c, &ct);
    323:     DMPlexGetCone(dm, c, &cone);
    324:     DMPlexGetRawFaces_Internal(dm, ct, cone, &numFaces, &faceTypes, &faceSizes, &faces);
    325:     for (cf = 0; cf < numFaces; foff += faceSizes[cf], ++cf) {
    326:       const PetscInt       faceSize = faceSizes[cf];
    327:       const DMPolytopeType faceType = faceTypes[cf];
    328:       const PetscInt      *face     = &faces[foff];
    329:       PetscHashIJKLKey     key;
    330:       PetscHashIter        iter;
    331:       PetscBool            missing;

    333:       if (faceSize > 4) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_SUP, "Do not support faces of size %D > 4", faceSize);
    334:       key.i = face[0];
    335:       key.j = faceSize > 1 ? face[1] : PETSC_MAX_INT;
    336:       key.k = faceSize > 2 ? face[2] : PETSC_MAX_INT;
    337:       key.l = faceSize > 3 ? face[3] : PETSC_MAX_INT;
    338:       PetscSortInt(faceSize, (PetscInt *) &key);
    339:       PetscHashIJKLPut(faceTable, key, &iter, &missing);
    340:       if (missing) {
    341:         PetscHashIJKLIterSet(faceTable, iter, fEnd++);
    342:         ++faceTypeNum[faceType];
    343:       }
    344:     }
    345:     DMPlexRestoreRawFaces_Internal(dm, ct, cone, &numFaces, &faceTypes, &faceSizes, &faces);
    346:   }
    347:   /* We need to number faces contiguously among types */
    348:   {
    349:     PetscInt faceTypeStart[DM_NUM_POLYTOPES], ct, numFT = 0;

    351:     for (ct = 0; ct < DM_NUM_POLYTOPES; ++ct) {if (faceTypeNum[ct]) ++numFT; faceTypeStart[ct] = 0;}
    352:     if (numFT > 1) {
    353:       PetscHashIJKLClear(faceTable);
    354:       faceTypeStart[0] = fStart;
    355:       for (ct = 1; ct < DM_NUM_POLYTOPES; ++ct) faceTypeStart[ct] = faceTypeStart[ct-1] + faceTypeNum[ct-1];
    356:       for (c = cStart; c < cEnd; ++c) {
    357:         const PetscInt       *cone, *faceSizes, *faces;
    358:         const DMPolytopeType *faceTypes;
    359:         DMPolytopeType        ct;
    360:         PetscInt              numFaces, cf, foff = 0;

    362:         DMPlexGetCellType(dm, c, &ct);
    363:         DMPlexGetCone(dm, c, &cone);
    364:         DMPlexGetRawFaces_Internal(dm, ct, cone, &numFaces, &faceTypes, &faceSizes, &faces);
    365:         for (cf = 0; cf < numFaces; foff += faceSizes[cf], ++cf) {
    366:           const PetscInt       faceSize = faceSizes[cf];
    367:           const DMPolytopeType faceType = faceTypes[cf];
    368:           const PetscInt      *face     = &faces[foff];
    369:           PetscHashIJKLKey     key;
    370:           PetscHashIter        iter;
    371:           PetscBool            missing;

    373:           if (faceSize > 4) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_SUP, "Do not support faces of size %D > 4", faceSize);
    374:           key.i = face[0];
    375:           key.j = faceSize > 1 ? face[1] : PETSC_MAX_INT;
    376:           key.k = faceSize > 2 ? face[2] : PETSC_MAX_INT;
    377:           key.l = faceSize > 3 ? face[3] : PETSC_MAX_INT;
    378:           PetscSortInt(faceSize, (PetscInt *) &key);
    379:           PetscHashIJKLPut(faceTable, key, &iter, &missing);
    380:           if (missing) {PetscHashIJKLIterSet(faceTable, iter, faceTypeStart[faceType]++);}
    381:         }
    382:         DMPlexRestoreRawFaces_Internal(dm, ct, cone, &numFaces, &faceTypes, &faceSizes, &faces);
    383:       }
    384:       for (ct = 1; ct < DM_NUM_POLYTOPES; ++ct) {
    385:         if (faceTypeStart[ct] != faceTypeStart[ct-1] + faceTypeNum[ct]) SETERRQ4(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Inconsistent numbering for cell type %s, %D != %D + %D", DMPolytopeTypes[ct], faceTypeStart[ct], faceTypeStart[ct-1], faceTypeNum[ct]);
    386:       }
    387:     }
    388:   }
    389:   /* Add new points, always at the end of the numbering */
    390:   DMPlexGetChart(dm, NULL, &Np);
    391:   DMPlexSetChart(idm, 0, Np + (fEnd - fStart));
    392:   /* Set cone sizes */
    393:   /*   Must create the celltype label here so that we do not automatically try to compute the types */
    394:   DMCreateLabel(idm, "celltype");
    395:   DMPlexGetCellTypeLabel(idm, &ctLabel);
    396:   for (d = 0; d <= depth; ++d) {
    397:     DMPolytopeType ct;
    398:     PetscInt       coneSize, pStart, pEnd, p;

    400:     if (d == cellDepth) continue;
    401:     DMPlexGetDepthStratum(dm, d, &pStart, &pEnd);
    402:     for (p = pStart; p < pEnd; ++p) {
    403:       DMPlexGetConeSize(dm, p, &coneSize);
    404:       DMPlexSetConeSize(idm, p, coneSize);
    405:       DMPlexGetCellType(dm, p, &ct);
    406:       DMPlexSetCellType(idm, p, ct);
    407:     }
    408:   }
    409:   for (c = cStart; c < cEnd; ++c) {
    410:     const PetscInt       *cone, *faceSizes, *faces;
    411:     const DMPolytopeType *faceTypes;
    412:     DMPolytopeType        ct;
    413:     PetscInt              numFaces, cf, foff = 0;

    415:     DMPlexGetCellType(dm, c, &ct);
    416:     DMPlexGetCone(dm, c, &cone);
    417:     DMPlexGetRawFaces_Internal(dm, ct, cone, &numFaces, &faceTypes, &faceSizes, &faces);
    418:     DMPlexSetCellType(idm, c, ct);
    419:     DMPlexSetConeSize(idm, c, numFaces);
    420:     for (cf = 0; cf < numFaces; foff += faceSizes[cf], ++cf) {
    421:       const PetscInt       faceSize = faceSizes[cf];
    422:       const DMPolytopeType faceType = faceTypes[cf];
    423:       const PetscInt      *face     = &faces[foff];
    424:       PetscHashIJKLKey     key;
    425:       PetscHashIter        iter;
    426:       PetscBool            missing;
    427:       PetscInt             f;

    429:       if (faceSize > 4) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_SUP, "Do not support faces of size %D > 4", faceSize);
    430:       key.i = face[0];
    431:       key.j = faceSize > 1 ? face[1] : PETSC_MAX_INT;
    432:       key.k = faceSize > 2 ? face[2] : PETSC_MAX_INT;
    433:       key.l = faceSize > 3 ? face[3] : PETSC_MAX_INT;
    434:       PetscSortInt(faceSize, (PetscInt *) &key);
    435:       PetscHashIJKLPut(faceTable, key, &iter, &missing);
    436:       if (missing) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Missing face (cell %D, lf %D)", c, cf);
    437:       PetscHashIJKLIterGet(faceTable, iter, &f);
    438:       DMPlexSetConeSize(idm, f, faceSize);
    439:       DMPlexSetCellType(idm, f, faceType);
    440:     }
    441:     DMPlexRestoreRawFaces_Internal(dm, ct, cone, &numFaces, &faceTypes, &faceSizes, &faces);
    442:   }
    443:   DMSetUp(idm);
    444:   /* Initialize cones so we do not need the bash table to tell us that a cone has been set */
    445:   {
    446:     PetscSection cs;
    447:     PetscInt    *cones, csize;

    449:     DMPlexGetConeSection(idm, &cs);
    450:     DMPlexGetCones(idm, &cones);
    451:     PetscSectionGetStorageSize(cs, &csize);
    452:     for (c = 0; c < csize; ++c) cones[c] = -1;
    453:   }
    454:   /* Set cones */
    455:   for (d = 0; d <= depth; ++d) {
    456:     const PetscInt *cone;
    457:     PetscInt        pStart, pEnd, p;

    459:     if (d == cellDepth) continue;
    460:     DMPlexGetDepthStratum(dm, d, &pStart, &pEnd);
    461:     for (p = pStart; p < pEnd; ++p) {
    462:       DMPlexGetCone(dm, p, &cone);
    463:       DMPlexSetCone(idm, p, cone);
    464:       DMPlexGetConeOrientation(dm, p, &cone);
    465:       DMPlexSetConeOrientation(idm, p, cone);
    466:     }
    467:   }
    468:   for (c = cStart; c < cEnd; ++c) {
    469:     const PetscInt       *cone, *faceSizes, *faces;
    470:     const DMPolytopeType *faceTypes;
    471:     DMPolytopeType        ct;
    472:     PetscInt              numFaces, cf, foff = 0;

    474:     DMPlexGetCellType(dm, c, &ct);
    475:     DMPlexGetCone(dm, c, &cone);
    476:     DMPlexGetRawFaces_Internal(dm, ct, cone, &numFaces, &faceTypes, &faceSizes, &faces);
    477:     for (cf = 0; cf < numFaces; foff += faceSizes[cf], ++cf) {
    478:       DMPolytopeType   faceType = faceTypes[cf];
    479:       const PetscInt   faceSize = faceSizes[cf];
    480:       const PetscInt  *face     = &faces[foff];
    481:       const PetscInt  *fcone;
    482:       PetscHashIJKLKey key;
    483:       PetscHashIter    iter;
    484:       PetscBool        missing;
    485:       PetscInt         f;

    487:       if (faceSize > 4) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_SUP, "Do not support faces of size %D > 4", faceSize);
    488:       key.i = face[0];
    489:       key.j = faceSize > 1 ? face[1] : PETSC_MAX_INT;
    490:       key.k = faceSize > 2 ? face[2] : PETSC_MAX_INT;
    491:       key.l = faceSize > 3 ? face[3] : PETSC_MAX_INT;
    492:       PetscSortInt(faceSize, (PetscInt *) &key);
    493:       PetscHashIJKLPut(faceTable, key, &iter, &missing);
    494:       PetscHashIJKLIterGet(faceTable, iter, &f);
    495:       DMPlexInsertCone(idm, c, cf, f);
    496:       DMPlexGetCone(idm, f, &fcone);
    497:       if (fcone[0] < 0) {DMPlexSetCone(idm, f, face);}
    498:       /* TODO This should be unnecessary since we have autoamtic orientation */
    499:       {
    500:         /* when matching hybrid faces in 3D, only few cases are possible.
    501:            Face traversal however can no longer follow the usual convention, this seems a serious issue to me */
    502:         PetscInt        tquad_map[4][4] = { {PETSC_MIN_INT,            0,PETSC_MIN_INT,PETSC_MIN_INT},
    503:                                             {           -1,PETSC_MIN_INT,PETSC_MIN_INT,PETSC_MIN_INT},
    504:                                             {PETSC_MIN_INT,PETSC_MIN_INT,PETSC_MIN_INT,            1},
    505:                                             {PETSC_MIN_INT,PETSC_MIN_INT,           -2,PETSC_MIN_INT} };
    506:         PetscInt        i, i2, j;
    507:         const PetscInt *cone;
    508:         PetscInt        coneSize, ornt;

    510:         /* Orient face: Do not allow reverse orientation at the first vertex */
    511:         DMPlexGetConeSize(idm, f, &coneSize);
    512:         DMPlexGetCone(idm, f, &cone);
    513:         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);
    514:         /* - First find the initial vertex */
    515:         for (i = 0; i < faceSize; ++i) if (face[0] == cone[i]) break;
    516:         /* If we want to compare tensor faces to regular faces, we have to flip them and take the else branch here */
    517:         if (faceType == DM_POLYTOPE_SEG_PRISM_TENSOR) {
    518:           /* find the second vertex */
    519:           for (i2 = 0; i2 < faceSize; ++i2) if (face[1] == cone[i2]) break;
    520:           switch (faceSize) {
    521:           case 2:
    522:             ornt = i ? -2 : 0;
    523:             break;
    524:           case 4:
    525:             ornt = tquad_map[i][i2];
    526:             break;
    527:           default: SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Unhandled face size %D for face %D in cell %D", faceSize, f, c);
    528:           }
    529:         } else {
    530:           /* Try forward comparison */
    531:           for (j = 0; j < faceSize; ++j) if (face[j] != cone[(i+j)%faceSize]) break;
    532:           if (j == faceSize) {
    533:             if ((faceSize == 2) && (i == 1)) ornt = -2;
    534:             else                             ornt = i;
    535:           } else {
    536:             /* Try backward comparison */
    537:             for (j = 0; j < faceSize; ++j) if (face[j] != cone[(i+faceSize-j)%faceSize]) break;
    538:             if (j == faceSize) {
    539:               if (i == 0) ornt = -faceSize;
    540:               else        ornt = -i;
    541:             } else SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Could not determine orientation of face %D in cell %D", f, c);
    542:           }
    543:         }
    544:         DMPlexInsertConeOrientation(idm, c, cf, ornt);
    545:       }
    546:     }
    547:     DMPlexRestoreRawFaces_Internal(dm, ct, cone, &numFaces, &faceTypes, &faceSizes, &faces);
    548:   }
    549:   PetscHashIJKLDestroy(&faceTable);
    550:   DMPlexSymmetrize(idm);
    551:   DMPlexStratify(idm);
    552:   return(0);
    553: }

    555: static PetscErrorCode SortRmineRremoteByRemote_Private(PetscSF sf, PetscInt *rmine1[], PetscInt *rremote1[])
    556: {
    557:   PetscInt            nleaves;
    558:   PetscInt            nranks;
    559:   const PetscMPIInt  *ranks=NULL;
    560:   const PetscInt     *roffset=NULL, *rmine=NULL, *rremote=NULL;
    561:   PetscInt            n, o, r;
    562:   PetscErrorCode      ierr;

    565:   PetscSFGetRootRanks(sf, &nranks, &ranks, &roffset, &rmine, &rremote);
    566:   nleaves = roffset[nranks];
    567:   PetscMalloc2(nleaves, rmine1, nleaves, rremote1);
    568:   for (r=0; r<nranks; r++) {
    569:     /* simultaneously sort rank-wise portions of rmine & rremote by values in rremote
    570:        - to unify order with the other side */
    571:     o = roffset[r];
    572:     n = roffset[r+1] - o;
    573:     PetscArraycpy(&(*rmine1)[o], &rmine[o], n);
    574:     PetscArraycpy(&(*rremote1)[o], &rremote[o], n);
    575:     PetscSortIntWithArray(n, &(*rremote1)[o], &(*rmine1)[o]);
    576:   }
    577:   return(0);
    578: }

    580: PetscErrorCode DMPlexOrientInterface_Internal(DM dm)
    581: {
    582:   /* Here we only compare first 2 points of the cone. Full cone size would lead to stronger self-checking. */
    583:   PetscInt          masterCone[2];
    584:   PetscInt          (*roots)[2], (*leaves)[2];
    585:   PetscMPIInt       (*rootsRanks)[2], (*leavesRanks)[2];

    587:   PetscSF           sf=NULL;
    588:   const PetscInt    *locals=NULL;
    589:   const PetscSFNode *remotes=NULL;
    590:   PetscInt           nroots, nleaves, p, c;
    591:   PetscInt           nranks, n, o, r;
    592:   const PetscMPIInt *ranks=NULL;
    593:   const PetscInt    *roffset=NULL;
    594:   PetscInt          *rmine1=NULL, *rremote1=NULL; /* rmine and rremote copies simultaneously sorted by rank and rremote */
    595:   const PetscInt    *cone=NULL;
    596:   PetscInt           coneSize, ind0;
    597:   MPI_Comm           comm;
    598:   PetscMPIInt        rank,size;
    599:   PetscInt           debug = 0;
    600:   PetscErrorCode     ierr;

    603:   DMGetPointSF(dm, &sf);
    604:   PetscSFGetGraph(sf, &nroots, &nleaves, &locals, &remotes);
    605:   if (nroots < 0) return(0);
    606:   PetscSFSetUp(sf);
    607:   PetscSFGetRootRanks(sf, &nranks, &ranks, &roffset, NULL, NULL);
    608:   DMViewFromOptions(dm, NULL, "-before_fix_dm_view");
    609:   if (PetscDefined(USE_DEBUG)) {DMPlexCheckPointSF(dm);}
    610:   SortRmineRremoteByRemote_Private(sf, &rmine1, &rremote1);
    611:   PetscMalloc4(nroots, &roots, nroots, &leaves, nroots, &rootsRanks, nroots, &leavesRanks);
    612:   PetscObjectGetComm((PetscObject) dm, &comm);
    613:   MPI_Comm_rank(comm, &rank);
    614:   MPI_Comm_size(comm, &size);
    615:   for (p = 0; p < nroots; ++p) {
    616:     DMPlexGetConeSize(dm, p, &coneSize);
    617:     DMPlexGetCone(dm, p, &cone);
    618:     if (coneSize < 2) {
    619:       for (c = 0; c < 2; c++) {
    620:         roots[p][c] = -1;
    621:         rootsRanks[p][c] = -1;
    622:       }
    623:       continue;
    624:     }
    625:     /* Translate all points to root numbering */
    626:     for (c = 0; c < 2; c++) {
    627:       PetscFindInt(cone[c], nleaves, locals, &ind0);
    628:       if (ind0 < 0) {
    629:         roots[p][c] = cone[c];
    630:         rootsRanks[p][c] = rank;
    631:       } else {
    632:         roots[p][c] = remotes[ind0].index;
    633:         rootsRanks[p][c] = remotes[ind0].rank;
    634:       }
    635:     }
    636:   }
    637:   for (p = 0; p < nroots; ++p) {
    638:     for (c = 0; c < 2; c++) {
    639:       leaves[p][c] = -2;
    640:       leavesRanks[p][c] = -2;
    641:     }
    642:   }
    643:   PetscSFBcastBegin(sf, MPIU_2INT, roots, leaves);
    644:   PetscSFBcastBegin(sf, MPI_2INT, rootsRanks, leavesRanks);
    645:   PetscSFBcastEnd(sf, MPIU_2INT, roots, leaves);
    646:   PetscSFBcastEnd(sf, MPI_2INT, rootsRanks, leavesRanks);
    647:   if (debug) {PetscSynchronizedFlush(comm, NULL);}
    648:   if (debug && rank == 0) {PetscSynchronizedPrintf(comm, "Referenced roots\n");}
    649:   for (p = 0; p < nroots; ++p) {
    650:     if (leaves[p][0] < 0) continue;
    651:     DMPlexGetConeSize(dm, p, &coneSize);
    652:     DMPlexGetCone(dm, p, &cone);
    653:     if (debug) {PetscSynchronizedPrintf(comm, "[%d]  %4D: cone=[%4D %4D] roots=[(%d,%4D) (%d,%4D)] leaves=[(%d,%4D) (%d,%4D)]", rank, p, cone[0], cone[1], rootsRanks[p][0], roots[p][0], rootsRanks[p][1], roots[p][1], leavesRanks[p][0], leaves[p][0], leavesRanks[p][1], leaves[p][1]);}
    654:     if ((leaves[p][0] != roots[p][0]) || (leaves[p][1] != roots[p][1]) || (leavesRanks[p][0] != rootsRanks[p][0]) || (leavesRanks[p][1] != rootsRanks[p][1])) {
    655:       /* Translate these two leaves to my cone points; masterCone means desired order p's cone points */
    656:       for (c = 0; c < 2; c++) {
    657:         if (leavesRanks[p][c] == rank) {
    658:           /* A local leave is just taken as it is */
    659:           masterCone[c] = leaves[p][c];
    660:           continue;
    661:         }
    662:         /* Find index of rank leavesRanks[p][c] among remote ranks */
    663:         /* No need for PetscMPIIntCast because these integers were originally cast from PetscMPIInt. */
    664:         PetscFindMPIInt((PetscMPIInt)leavesRanks[p][c], nranks, ranks, &r);
    665:         if (PetscUnlikely(r < 0)) SETERRQ7(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Point %D cone[%D]=%D root (%d,%D) leave (%d,%D): leave rank not found among remote ranks",p,c,cone[c],rootsRanks[p][c],roots[p][c],leavesRanks[p][c],leaves[p][c]);
    666:         if (PetscUnlikely(ranks[r] < 0 || ranks[r] >= size)) SETERRQ5(PETSC_COMM_SELF, PETSC_ERR_PLIB, "p=%D c=%D commsize=%d: ranks[%D] = %d makes no sense",p,c,size,r,ranks[r]);
    667:         /* Find point leaves[p][c] among remote points aimed at rank leavesRanks[p][c] */
    668:         o = roffset[r];
    669:         n = roffset[r+1] - o;
    670:         PetscFindInt(leaves[p][c], n, &rremote1[o], &ind0);
    671:         if (PetscUnlikely(ind0 < 0)) SETERRQ7(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Point %D cone[%D]=%D root (%d,%D) leave (%d,%D): corresponding remote point not found - it seems there is missing connection in point SF!",p,c,cone[c],rootsRanks[p][c],roots[p][c],leavesRanks[p][c],leaves[p][c]);
    672:         /* Get the corresponding local point */
    673:         masterCone[c] = rmine1[o+ind0];
    674:       }
    675:       if (debug) {PetscSynchronizedPrintf(comm, " masterCone=[%4D %4D]\n", masterCone[0], masterCone[1]);}
    676:       /* Set the desired order of p's cone points and fix orientations accordingly */
    677:       /* Vaclav's note: Here we only compare first 2 points of the cone. Full cone size would lead to stronger self-checking. */
    678:       DMPlexOrientCell(dm, p, 2, masterCone);
    679:     } else if (debug) {PetscSynchronizedPrintf(comm, " ==\n");}
    680:   }
    681:   if (debug) {
    682:     PetscSynchronizedFlush(comm, NULL);
    683:     MPI_Barrier(comm);
    684:   }
    685:   DMViewFromOptions(dm, NULL, "-after_fix_dm_view");
    686:   PetscFree4(roots, leaves, rootsRanks, leavesRanks);
    687:   PetscFree2(rmine1, rremote1);
    688:   return(0);
    689: }

    691: static PetscErrorCode IntArrayViewFromOptions(MPI_Comm comm, const char opt[], const char name[], const char idxname[], const char valname[], PetscInt n, const PetscInt a[])
    692: {
    693:   PetscInt       idx;
    694:   PetscMPIInt    rank;
    695:   PetscBool      flg;

    699:   PetscOptionsHasName(NULL, NULL, opt, &flg);
    700:   if (!flg) return(0);
    701:   MPI_Comm_rank(comm, &rank);
    702:   PetscSynchronizedPrintf(comm, "[%d]%s:\n", rank, name);
    703:   for (idx = 0; idx < n; ++idx) {PetscSynchronizedPrintf(comm, "[%d]%s %D %s %D\n", rank, idxname, idx, valname, a[idx]);}
    704:   PetscSynchronizedFlush(comm, NULL);
    705:   return(0);
    706: }

    708: static PetscErrorCode SFNodeArrayViewFromOptions(MPI_Comm comm, const char opt[], const char name[], const char idxname[], PetscInt n, const PetscSFNode a[])
    709: {
    710:   PetscInt       idx;
    711:   PetscMPIInt    rank;
    712:   PetscBool      flg;

    716:   PetscOptionsHasName(NULL, NULL, opt, &flg);
    717:   if (!flg) return(0);
    718:   MPI_Comm_rank(comm, &rank);
    719:   PetscSynchronizedPrintf(comm, "[%d]%s:\n", rank, name);
    720:   if (idxname) {
    721:     for (idx = 0; idx < n; ++idx) {PetscSynchronizedPrintf(comm, "[%d]%s %D rank %D index %D\n", rank, idxname, idx, a[idx].rank, a[idx].index);}
    722:   } else {
    723:     for (idx = 0; idx < n; ++idx) {PetscSynchronizedPrintf(comm, "[%d]rank %D index %D\n", rank, a[idx].rank, a[idx].index);}
    724:   }
    725:   PetscSynchronizedFlush(comm, NULL);
    726:   return(0);
    727: }

    729: static PetscErrorCode DMPlexMapToLocalPoint(DM dm, PetscHMapIJ remotehash, PetscSFNode remotePoint, PetscInt *localPoint)
    730: {
    731:   PetscSF         sf;
    732:   const PetscInt *locals;
    733:   PetscMPIInt     rank;
    734:   PetscErrorCode  ierr;

    737:   MPI_Comm_rank(PetscObjectComm((PetscObject) dm), &rank);
    738:   DMGetPointSF(dm, &sf);
    739:   PetscSFGetGraph(sf, NULL, NULL, &locals, NULL);
    740:   if (remotePoint.rank == rank) {
    741:     *localPoint = remotePoint.index;
    742:   } else {
    743:     PetscHashIJKey key;
    744:     PetscInt       l;

    746:     key.i = remotePoint.index;
    747:     key.j = remotePoint.rank;
    748:     PetscHMapIJGet(remotehash, key, &l);
    749:     if (l >= 0) {
    750:       *localPoint = locals[l];
    751:     } else PetscFunctionReturn(1);
    752:   }
    753:   return(0);
    754: }

    756: static PetscErrorCode DMPlexMapToGlobalPoint(DM dm, PetscInt localPoint, PetscSFNode *remotePoint)
    757: {
    758:   PetscSF            sf;
    759:   const PetscInt    *locals, *rootdegree;
    760:   const PetscSFNode *remotes;
    761:   PetscInt           Nl, l;
    762:   PetscMPIInt        rank;
    763:   PetscErrorCode     ierr;

    766:   MPI_Comm_rank(PetscObjectComm((PetscObject) dm), &rank);
    767:   DMGetPointSF(dm, &sf);
    768:   PetscSFGetGraph(sf, NULL, &Nl, &locals, &remotes);
    769:   if (Nl < 0) goto owned;
    770:   PetscSFComputeDegreeBegin(sf, &rootdegree);
    771:   PetscSFComputeDegreeEnd(sf, &rootdegree);
    772:   if (rootdegree[localPoint]) goto owned;
    773:   PetscFindInt(localPoint, Nl, locals, &l);
    774:   if (l < 0) PetscFunctionReturn(1);
    775:   *remotePoint = remotes[l];
    776:   return(0);
    777:   owned:
    778:   remotePoint->rank  = rank;
    779:   remotePoint->index = localPoint;
    780:   return(0);
    781: }

    784: static PetscErrorCode DMPlexPointIsShared(DM dm, PetscInt p, PetscBool *isShared)
    785: {
    786:   PetscSF         sf;
    787:   const PetscInt *locals, *rootdegree;
    788:   PetscInt        Nl, idx;
    789:   PetscErrorCode  ierr;

    792:   *isShared = PETSC_FALSE;
    793:   DMGetPointSF(dm, &sf);
    794:   PetscSFGetGraph(sf, NULL, &Nl, &locals, NULL);
    795:   if (Nl < 0) return(0);
    796:   PetscFindInt(p, Nl, locals, &idx);
    797:   if (idx >= 0) {*isShared = PETSC_TRUE; return(0);}
    798:   PetscSFComputeDegreeBegin(sf, &rootdegree);
    799:   PetscSFComputeDegreeEnd(sf, &rootdegree);
    800:   if (rootdegree[p] > 0) *isShared = PETSC_TRUE;
    801:   return(0);
    802: }

    804: static PetscErrorCode DMPlexConeIsShared(DM dm, PetscInt p, PetscBool *isShared)
    805: {
    806:   const PetscInt *cone;
    807:   PetscInt        coneSize, c;
    808:   PetscBool       cShared = PETSC_TRUE;
    809:   PetscErrorCode  ierr;

    812:   DMPlexGetConeSize(dm, p, &coneSize);
    813:   DMPlexGetCone(dm, p, &cone);
    814:   for (c = 0; c < coneSize; ++c) {
    815:     PetscBool pointShared;

    817:     DMPlexPointIsShared(dm, cone[c], &pointShared);
    818:     cShared = (PetscBool) (cShared && pointShared);
    819:   }
    820:   *isShared = coneSize ? cShared : PETSC_FALSE;
    821:   return(0);
    822: }

    824: static PetscErrorCode DMPlexGetConeMinimum(DM dm, PetscInt p, PetscSFNode *cpmin)
    825: {
    826:   const PetscInt *cone;
    827:   PetscInt        coneSize, c;
    828:   PetscSFNode     cmin = {PETSC_MAX_INT, PETSC_MAX_INT}, missing = {-1, -1};
    829:   PetscErrorCode  ierr;

    832:   DMPlexGetConeSize(dm, p, &coneSize);
    833:   DMPlexGetCone(dm, p, &cone);
    834:   for (c = 0; c < coneSize; ++c) {
    835:     PetscSFNode rcp;

    837:     DMPlexMapToGlobalPoint(dm, cone[c], &rcp);
    838:     if (ierr) {
    839:       cmin = missing;
    840:     } else {
    841:       cmin = (rcp.rank < cmin.rank) || (rcp.rank == cmin.rank && rcp.index < cmin.index) ? rcp : cmin;
    842:     }
    843:   }
    844:   *cpmin = coneSize ? cmin : missing;
    845:   return(0);
    846: }

    848: /*
    849:   Each shared face has an entry in the candidates array:
    850:     (-1, coneSize-1), {(global cone point)}
    851:   where the set is missing the point p which we use as the key for the face
    852: */
    853: static PetscErrorCode DMPlexAddSharedFace_Private(DM dm, PetscSection candidateSection, PetscSFNode candidates[], PetscHMapIJ faceHash, PetscInt p, PetscBool debug)
    854: {
    855:   MPI_Comm        comm;
    856:   const PetscInt *support;
    857:   PetscInt        supportSize, s, off = 0, idx = 0, overlap, cellHeight, height;
    858:   PetscMPIInt     rank;
    859:   PetscErrorCode  ierr;

    862:   PetscObjectGetComm((PetscObject) dm, &comm);
    863:   MPI_Comm_rank(comm, &rank);
    864:   DMPlexGetOverlap(dm, &overlap);
    865:   DMPlexGetVTKCellHeight(dm, &cellHeight);
    866:   DMPlexGetPointHeight(dm, p, &height);
    867:   if (!overlap && height <= cellHeight+1) {
    868:     /* cells can't be shared for non-overlapping meshes */
    869:     if (debug) {PetscSynchronizedPrintf(comm, "[%d]    Skipping face %D to avoid adding cell to hashmap since this is nonoverlapping mesh\n", rank, p);}
    870:     return(0);
    871:   }
    872:   DMPlexGetSupportSize(dm, p, &supportSize);
    873:   DMPlexGetSupport(dm, p, &support);
    874:   if (candidates) {PetscSectionGetOffset(candidateSection, p, &off);}
    875:   for (s = 0; s < supportSize; ++s) {
    876:     const PetscInt  face = support[s];
    877:     const PetscInt *cone;
    878:     PetscSFNode     cpmin={-1,-1}, rp={-1,-1};
    879:     PetscInt        coneSize, c, f;
    880:     PetscBool       isShared = PETSC_FALSE;
    881:     PetscHashIJKey  key;

    883:     /* Only add point once */
    884:     if (debug) {PetscSynchronizedPrintf(comm, "[%d]    Support face %D\n", rank, face);}
    885:     key.i = p;
    886:     key.j = face;
    887:     PetscHMapIJGet(faceHash, key, &f);
    888:     if (f >= 0) continue;
    889:     DMPlexConeIsShared(dm, face, &isShared);
    890:     DMPlexGetConeMinimum(dm, face, &cpmin);
    891:     DMPlexMapToGlobalPoint(dm, p, &rp);
    892:     if (debug) {
    893:       PetscSynchronizedPrintf(comm, "[%d]      Face point %D is shared: %d\n", rank, face, (int) isShared);
    894:       PetscSynchronizedPrintf(comm, "[%d]      Global point (%D, %D) Min Cone Point (%D, %D)\n", rank, rp.rank, rp.index, cpmin.rank, cpmin.index);
    895:     }
    896:     if (isShared && (rp.rank == cpmin.rank && rp.index == cpmin.index)) {
    897:       PetscHMapIJSet(faceHash, key, p);
    898:       if (candidates) {
    899:         if (debug) {PetscSynchronizedPrintf(comm, "[%d]    Adding shared face %D at idx %D\n[%d]     ", rank, face, idx, rank);}
    900:         DMPlexGetConeSize(dm, face, &coneSize);
    901:         DMPlexGetCone(dm, face, &cone);
    902:         candidates[off+idx].rank    = -1;
    903:         candidates[off+idx++].index = coneSize-1;
    904:         candidates[off+idx].rank    = rank;
    905:         candidates[off+idx++].index = face;
    906:         for (c = 0; c < coneSize; ++c) {
    907:           const PetscInt cp = cone[c];

    909:           if (cp == p) continue;
    910:           DMPlexMapToGlobalPoint(dm, cp, &candidates[off+idx]);
    911:           if (debug) {PetscSynchronizedPrintf(comm, " (%D,%D)", candidates[off+idx].rank, candidates[off+idx].index);}
    912:           ++idx;
    913:         }
    914:         if (debug) {PetscSynchronizedPrintf(comm, "\n");}
    915:       } else {
    916:         /* Add cone size to section */
    917:         if (debug) {PetscSynchronizedPrintf(comm, "[%d]    Scheduling shared face %D\n", rank, face);}
    918:         DMPlexGetConeSize(dm, face, &coneSize);
    919:         PetscHMapIJSet(faceHash, key, p);
    920:         PetscSectionAddDof(candidateSection, p, coneSize+1);
    921:       }
    922:     }
    923:   }
    924:   return(0);
    925: }

    927: /*@
    928:   DMPlexInterpolatePointSF - Insert interpolated points in the overlap into the PointSF in parallel, following local interpolation

    930:   Collective on dm

    932:   Input Parameters:
    933: + dm      - The interpolated DM
    934: - pointSF - The initial SF without interpolated points

    936:   Output Parameter:
    937: . pointSF - The SF including interpolated points

    939:   Level: developer

    941:    Note: All debugging for this process can be turned on with the options: -dm_interp_pre_view -petscsf_interp_pre_view -petscsection_interp_candidate_view -petscsection_interp_candidate_remote_view -petscsection_interp_claim_view -petscsf_interp_pre_view -dmplex_interp_debug

    943: .seealso: DMPlexInterpolate(), DMPlexUninterpolate()
    944: @*/
    945: PetscErrorCode DMPlexInterpolatePointSF(DM dm, PetscSF pointSF)
    946: {
    947:   MPI_Comm           comm;
    948:   PetscHMapIJ        remoteHash;
    949:   PetscHMapI         claimshash;
    950:   PetscSection       candidateSection, candidateRemoteSection, claimSection;
    951:   PetscSFNode       *candidates, *candidatesRemote, *claims;
    952:   const PetscInt    *localPoints, *rootdegree;
    953:   const PetscSFNode *remotePoints;
    954:   PetscInt           ov, Nr, r, Nl, l;
    955:   PetscInt           candidatesSize, candidatesRemoteSize, claimsSize;
    956:   PetscBool          flg, debug = PETSC_FALSE;
    957:   PetscMPIInt        rank;
    958:   PetscErrorCode     ierr;

    963:   DMPlexIsDistributed(dm, &flg);
    964:   if (!flg) return(0);
    965:   /* Set initial SF so that lower level queries work */
    966:   DMSetPointSF(dm, pointSF);
    967:   PetscObjectGetComm((PetscObject) dm, &comm);
    968:   MPI_Comm_rank(comm, &rank);
    969:   DMPlexGetOverlap(dm, &ov);
    970:   if (ov) SETERRQ(comm, PETSC_ERR_SUP, "Interpolation of overlapped DMPlex not implemented yet");
    971:   PetscOptionsHasName(NULL, ((PetscObject) dm)->prefix, "-dmplex_interp_debug", &debug);
    972:   PetscObjectViewFromOptions((PetscObject) dm, NULL, "-dm_interp_pre_view");
    973:   PetscObjectViewFromOptions((PetscObject) pointSF, NULL, "-petscsf_interp_pre_view");
    974:   PetscLogEventBegin(DMPLEX_InterpolateSF,dm,0,0,0);
    975:   /* Step 0: Precalculations */
    976:   PetscSFGetGraph(pointSF, &Nr, &Nl, &localPoints, &remotePoints);
    977:   if (Nr < 0) SETERRQ(comm, PETSC_ERR_ARG_WRONGSTATE, "This DMPlex is distributed but input PointSF has no graph set");
    978:   PetscHMapIJCreate(&remoteHash);
    979:   for (l = 0; l < Nl; ++l) {
    980:     PetscHashIJKey key;
    981:     key.i = remotePoints[l].index;
    982:     key.j = remotePoints[l].rank;
    983:     PetscHMapIJSet(remoteHash, key, l);
    984:   }
    985:   /*   Compute root degree to identify shared points */
    986:   PetscSFComputeDegreeBegin(pointSF, &rootdegree);
    987:   PetscSFComputeDegreeEnd(pointSF, &rootdegree);
    988:   IntArrayViewFromOptions(comm, "-interp_root_degree_view", "Root degree", "point", "degree", Nr, rootdegree);
    989:   /*
    990:   1) Loop over each leaf point $p$ at depth $d$ in the SF
    991:   \item Get set $F(p)$ of faces $f$ in the support of $p$ for which
    992:   \begin{itemize}
    993:     \item all cone points of $f$ are shared
    994:     \item $p$ is the cone point with smallest canonical number
    995:   \end{itemize}
    996:   \item Send $F(p)$ and the cone of each face to the active root point $r(p)$
    997:   \item At the root, if at least two faces with a given cone are present, including a local face, mark the face as shared \label{alg:rootStep} and choose the root face
    998:   \item Send the root face from the root back to all leaf process
    999:   \item Leaf processes add the shared face to the SF
    1000:   */
    1001:   /* Step 1: Construct section+SFNode array
    1002:        The section has entries for all shared faces for which we have a leaf point in the cone
    1003:        The array holds candidate shared faces, each face is refered to by the leaf point */
    1004:   PetscSectionCreate(comm, &candidateSection);
    1005:   PetscSectionSetChart(candidateSection, 0, Nr);
    1006:   {
    1007:     PetscHMapIJ faceHash;

    1009:     PetscHMapIJCreate(&faceHash);
    1010:     for (l = 0; l < Nl; ++l) {
    1011:       const PetscInt p = localPoints[l];

    1013:       if (debug) {PetscSynchronizedPrintf(comm, "[%d]  First pass leaf point %D\n", rank, p);}
    1014:       DMPlexAddSharedFace_Private(dm, candidateSection, NULL, faceHash, p, debug);
    1015:     }
    1016:     PetscHMapIJClear(faceHash);
    1017:     PetscSectionSetUp(candidateSection);
    1018:     PetscSectionGetStorageSize(candidateSection, &candidatesSize);
    1019:     PetscMalloc1(candidatesSize, &candidates);
    1020:     for (l = 0; l < Nl; ++l) {
    1021:       const PetscInt p = localPoints[l];

    1023:       if (debug) {PetscSynchronizedPrintf(comm, "[%d]  Second pass leaf point %D\n", rank, p);}
    1024:       DMPlexAddSharedFace_Private(dm, candidateSection, candidates, faceHash, p, debug);
    1025:     }
    1026:     PetscHMapIJDestroy(&faceHash);
    1027:     if (debug) {PetscSynchronizedFlush(comm, NULL);}
    1028:   }
    1029:   PetscObjectSetName((PetscObject) candidateSection, "Candidate Section");
    1030:   PetscObjectViewFromOptions((PetscObject) candidateSection, NULL, "-petscsection_interp_candidate_view");
    1031:   SFNodeArrayViewFromOptions(comm, "-petscsection_interp_candidate_view", "Candidates", NULL, candidatesSize, candidates);
    1032:   /* Step 2: Gather candidate section / array pair into the root partition via inverse(multi(pointSF)). */
    1033:   /*   Note that this section is indexed by offsets into leaves, not by point number */
    1034:   {
    1035:     PetscSF   sfMulti, sfInverse, sfCandidates;
    1036:     PetscInt *remoteOffsets;

    1038:     PetscSFGetMultiSF(pointSF, &sfMulti);
    1039:     PetscSFCreateInverseSF(sfMulti, &sfInverse);
    1040:     PetscSectionCreate(comm, &candidateRemoteSection);
    1041:     PetscSFDistributeSection(sfInverse, candidateSection, &remoteOffsets, candidateRemoteSection);
    1042:     PetscSFCreateSectionSF(sfInverse, candidateSection, remoteOffsets, candidateRemoteSection, &sfCandidates);
    1043:     PetscSectionGetStorageSize(candidateRemoteSection, &candidatesRemoteSize);
    1044:     PetscMalloc1(candidatesRemoteSize, &candidatesRemote);
    1045:     PetscSFBcastBegin(sfCandidates, MPIU_2INT, candidates, candidatesRemote);
    1046:     PetscSFBcastEnd(sfCandidates, MPIU_2INT, candidates, candidatesRemote);
    1047:     PetscSFDestroy(&sfInverse);
    1048:     PetscSFDestroy(&sfCandidates);
    1049:     PetscFree(remoteOffsets);

    1051:     PetscObjectSetName((PetscObject) candidateRemoteSection, "Remote Candidate Section");
    1052:     PetscObjectViewFromOptions((PetscObject) candidateRemoteSection, NULL, "-petscsection_interp_candidate_remote_view");
    1053:     SFNodeArrayViewFromOptions(comm, "-petscsection_interp_candidate_remote_view", "Remote Candidates", NULL, candidatesRemoteSize, candidatesRemote);
    1054:   }
    1055:   /* Step 3: At the root, if at least two faces with a given cone are present, including a local face, mark the face as shared and choose the root face */
    1056:   {
    1057:     PetscHashIJKLRemote faceTable;
    1058:     PetscInt            idx, idx2;

    1060:     PetscHashIJKLRemoteCreate(&faceTable);
    1061:     /* There is a section point for every leaf attached to a given root point */
    1062:     for (r = 0, idx = 0, idx2 = 0; r < Nr; ++r) {
    1063:       PetscInt deg;

    1065:       for (deg = 0; deg < rootdegree[r]; ++deg, ++idx) {
    1066:         PetscInt offset, dof, d;

    1068:         PetscSectionGetDof(candidateRemoteSection, idx, &dof);
    1069:         PetscSectionGetOffset(candidateRemoteSection, idx, &offset);
    1070:         /* dof may include many faces from the remote process */
    1071:         for (d = 0; d < dof; ++d) {
    1072:           const PetscInt         hidx  = offset+d;
    1073:           const PetscInt         Np    = candidatesRemote[hidx].index+1;
    1074:           const PetscSFNode      rface = candidatesRemote[hidx+1];
    1075:           const PetscSFNode     *fcone = &candidatesRemote[hidx+2];
    1076:           PetscSFNode            fcp0;
    1077:           const PetscSFNode      pmax  = {PETSC_MAX_INT, PETSC_MAX_INT};
    1078:           const PetscInt        *join  = NULL;
    1079:           PetscHashIJKLRemoteKey key;
    1080:           PetscHashIter          iter;
    1081:           PetscBool              missing;
    1082:           PetscInt               points[1024], p, joinSize;

    1084:           if (debug) {PetscSynchronizedPrintf(PetscObjectComm((PetscObject) dm), "[%d]  Checking face (%D, %D) at (%D, %D, %D) with cone size %D\n", rank, rface.rank, rface.index, r, idx, d, Np);}
    1085:           if (Np > 4) SETERRQ6(PETSC_COMM_SELF, PETSC_ERR_SUP, "Cannot handle face (%D, %D) at (%D, %D, %D) with %D cone points", rface.rank, rface.index, r, idx, d, Np);
    1086:           fcp0.rank  = rank;
    1087:           fcp0.index = r;
    1088:           d += Np;
    1089:           /* Put remote face in hash table */
    1090:           key.i = fcp0;
    1091:           key.j = fcone[0];
    1092:           key.k = Np > 2 ? fcone[1] : pmax;
    1093:           key.l = Np > 3 ? fcone[2] : pmax;
    1094:           PetscSortSFNode(Np, (PetscSFNode *) &key);
    1095:           PetscHashIJKLRemotePut(faceTable, key, &iter, &missing);
    1096:           if (missing) {
    1097:             if (debug) {PetscSynchronizedPrintf(PetscObjectComm((PetscObject) dm), "[%d]  Setting remote face (%D, %D)\n", rank, rface.index, rface.rank);}
    1098:             PetscHashIJKLRemoteIterSet(faceTable, iter, rface);
    1099:           } else {
    1100:             PetscSFNode oface;

    1102:             PetscHashIJKLRemoteIterGet(faceTable, iter, &oface);
    1103:             if ((rface.rank < oface.rank) || (rface.rank == oface.rank && rface.index < oface.index)) {
    1104:               if (debug) {PetscSynchronizedPrintf(PetscObjectComm((PetscObject) dm), "[%d]  Replacing with remote face (%D, %D)\n", rank, rface.index, rface.rank);}
    1105:               PetscHashIJKLRemoteIterSet(faceTable, iter, rface);
    1106:             }
    1107:           }
    1108:           /* Check for local face */
    1109:           points[0] = r;
    1110:           for (p = 1; p < Np; ++p) {
    1111:             DMPlexMapToLocalPoint(dm, remoteHash, fcone[p-1], &points[p]);
    1112:             if (ierr) break; /* We got a point not in our overlap */
    1113:             if (debug) {PetscSynchronizedPrintf(PetscObjectComm((PetscObject) dm), "[%d]  Checking local candidate %D\n", rank, points[p]);}
    1114:           }
    1115:           if (ierr) continue;
    1116:           DMPlexGetJoin(dm, Np, points, &joinSize, &join);
    1117:           if (joinSize == 1) {
    1118:             PetscSFNode lface;
    1119:             PetscSFNode oface;

    1121:             /* Always replace with local face */
    1122:             lface.rank  = rank;
    1123:             lface.index = join[0];
    1124:             PetscHashIJKLRemoteIterGet(faceTable, iter, &oface);
    1125:             if (debug) {PetscSynchronizedPrintf(PetscObjectComm((PetscObject) dm), "[%d]  Replacing (%D, %D) with local face (%D, %D)\n", rank, oface.index, oface.rank, lface.index, lface.rank);}
    1126:             PetscHashIJKLRemoteIterSet(faceTable, iter, lface);
    1127:           }
    1128:           DMPlexRestoreJoin(dm, Np, points, &joinSize, &join);
    1129:         }
    1130:       }
    1131:       /* Put back faces for this root */
    1132:       for (deg = 0; deg < rootdegree[r]; ++deg, ++idx2) {
    1133:         PetscInt offset, dof, d;

    1135:         PetscSectionGetDof(candidateRemoteSection, idx2, &dof);
    1136:         PetscSectionGetOffset(candidateRemoteSection, idx2, &offset);
    1137:         /* dof may include many faces from the remote process */
    1138:         for (d = 0; d < dof; ++d) {
    1139:           const PetscInt         hidx  = offset+d;
    1140:           const PetscInt         Np    = candidatesRemote[hidx].index+1;
    1141:           const PetscSFNode     *fcone = &candidatesRemote[hidx+2];
    1142:           PetscSFNode            fcp0;
    1143:           const PetscSFNode      pmax  = {PETSC_MAX_INT, PETSC_MAX_INT};
    1144:           PetscHashIJKLRemoteKey key;
    1145:           PetscHashIter          iter;
    1146:           PetscBool              missing;

    1148:           if (debug) {PetscSynchronizedPrintf(PetscObjectComm((PetscObject) dm), "[%d]  Entering face at (%D, %D)\n", rank, r, idx);}
    1149:           if (Np > 4) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_SUP, "Cannot handle faces with %D cone points", Np);
    1150:           fcp0.rank  = rank;
    1151:           fcp0.index = r;
    1152:           d += Np;
    1153:           /* Find remote face in hash table */
    1154:           key.i = fcp0;
    1155:           key.j = fcone[0];
    1156:           key.k = Np > 2 ? fcone[1] : pmax;
    1157:           key.l = Np > 3 ? fcone[2] : pmax;
    1158:           PetscSortSFNode(Np, (PetscSFNode *) &key);
    1159:           if (debug) {PetscSynchronizedPrintf(PetscObjectComm((PetscObject) dm), "[%d]    key (%D, %D) (%D, %D) (%D, %D) (%D, %D)\n", rank, key.i.rank, key.i.index, key.j.rank, key.j.index, key.k.rank, key.k.index, key.l.rank, key.l.index);}
    1160:           PetscHashIJKLRemotePut(faceTable, key, &iter, &missing);
    1161:           if (missing) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Root %D Idx %D ought to have an associated face", r, idx2);
    1162:           else        {PetscHashIJKLRemoteIterGet(faceTable, iter, &candidatesRemote[hidx]);}
    1163:         }
    1164:       }
    1165:     }
    1166:     if (debug) {PetscSynchronizedFlush(PetscObjectComm((PetscObject) dm), NULL);}
    1167:     PetscHashIJKLRemoteDestroy(&faceTable);
    1168:   }
    1169:   /* Step 4: Push back owned faces */
    1170:   {
    1171:     PetscSF      sfMulti, sfClaims, sfPointNew;
    1172:     PetscSFNode *remotePointsNew;
    1173:     PetscInt    *remoteOffsets, *localPointsNew;
    1174:     PetscInt     pStart, pEnd, r, NlNew, p;

    1176:     /* 4) Push claims back to receiver via the MultiSF and derive new pointSF mapping on receiver */
    1177:     PetscSFGetMultiSF(pointSF, &sfMulti);
    1178:     PetscSectionCreate(comm, &claimSection);
    1179:     PetscSFDistributeSection(sfMulti, candidateRemoteSection, &remoteOffsets, claimSection);
    1180:     PetscSFCreateSectionSF(sfMulti, candidateRemoteSection, remoteOffsets, claimSection, &sfClaims);
    1181:     PetscSectionGetStorageSize(claimSection, &claimsSize);
    1182:     PetscMalloc1(claimsSize, &claims);
    1183:     for (p = 0; p < claimsSize; ++p) claims[p].rank = -1;
    1184:     PetscSFBcastBegin(sfClaims, MPIU_2INT, candidatesRemote, claims);
    1185:     PetscSFBcastEnd(sfClaims, MPIU_2INT, candidatesRemote, claims);
    1186:     PetscSFDestroy(&sfClaims);
    1187:     PetscFree(remoteOffsets);
    1188:     PetscObjectSetName((PetscObject) claimSection, "Claim Section");
    1189:     PetscObjectViewFromOptions((PetscObject) claimSection, NULL, "-petscsection_interp_claim_view");
    1190:     SFNodeArrayViewFromOptions(comm, "-petscsection_interp_claim_view", "Claims", NULL, claimsSize, claims);
    1191:     /* Step 5) Walk the original section of local supports and add an SF entry for each updated item */
    1192:     /* TODO I should not have to do a join here since I already put the face and its cone in the candidate section */
    1193:     PetscHMapICreate(&claimshash);
    1194:     for (r = 0; r < Nr; ++r) {
    1195:       PetscInt dof, off, d;

    1197:       if (debug) {PetscSynchronizedPrintf(comm, "[%d]  Checking root for claims %D\n", rank, r);}
    1198:       PetscSectionGetDof(candidateSection, r, &dof);
    1199:       PetscSectionGetOffset(candidateSection, r, &off);
    1200:       for (d = 0; d < dof;) {
    1201:         if (claims[off+d].rank >= 0) {
    1202:           const PetscInt  faceInd = off+d;
    1203:           const PetscInt  Np      = candidates[off+d].index;
    1204:           const PetscInt *join    = NULL;
    1205:           PetscInt        joinSize, points[1024], c;

    1207:           if (debug) {PetscSynchronizedPrintf(comm, "[%d]    Found claim for remote point (%D, %D)\n", rank, claims[faceInd].rank, claims[faceInd].index);}
    1208:           points[0] = r;
    1209:           if (debug) {PetscSynchronizedPrintf(comm, "[%d]      point %D\n", rank, points[0]);}
    1210:           for (c = 0, d += 2; c < Np; ++c, ++d) {
    1211:             DMPlexMapToLocalPoint(dm, remoteHash, candidates[off+d], &points[c+1]);
    1212:             if (debug) {PetscSynchronizedPrintf(comm, "[%d]      point %D\n", rank, points[c+1]);}
    1213:           }
    1214:           DMPlexGetJoin(dm, Np+1, points, &joinSize, &join);
    1215:           if (joinSize == 1) {
    1216:             if (claims[faceInd].rank == rank) {
    1217:               if (debug) {PetscSynchronizedPrintf(comm, "[%d]    Ignoring local face %D for non-remote partner\n", rank, join[0]);}
    1218:             } else {
    1219:               if (debug) {PetscSynchronizedPrintf(comm, "[%d]    Found local face %D\n", rank, join[0]);}
    1220:               PetscHMapISet(claimshash, join[0], faceInd);
    1221:             }
    1222:           } else {
    1223:             if (debug) {PetscSynchronizedPrintf(comm, "[%d]    Failed to find face\n", rank);}
    1224:           }
    1225:           DMPlexRestoreJoin(dm, Np+1, points, &joinSize, &join);
    1226:         } else {
    1227:           if (debug) {PetscSynchronizedPrintf(comm, "[%d]    No claim for point %D\n", rank, r);}
    1228:           d += claims[off+d].index+1;
    1229:         }
    1230:       }
    1231:     }
    1232:     if (debug) {PetscSynchronizedFlush(comm, NULL);}
    1233:     /* Step 6) Create new pointSF from hashed claims */
    1234:     PetscHMapIGetSize(claimshash, &NlNew);
    1235:     DMPlexGetChart(dm, &pStart, &pEnd);
    1236:     PetscMalloc1(Nl + NlNew, &localPointsNew);
    1237:     PetscMalloc1(Nl + NlNew, &remotePointsNew);
    1238:     for (l = 0; l < Nl; ++l) {
    1239:       localPointsNew[l] = localPoints[l];
    1240:       remotePointsNew[l].index = remotePoints[l].index;
    1241:       remotePointsNew[l].rank  = remotePoints[l].rank;
    1242:     }
    1243:     p = Nl;
    1244:     PetscHMapIGetKeys(claimshash, &p, localPointsNew);
    1245:     /* We sort new points, and assume they are numbered after all existing points */
    1246:     PetscSortInt(NlNew, &localPointsNew[Nl]);
    1247:     for (p = Nl; p < Nl + NlNew; ++p) {
    1248:       PetscInt off;
    1249:       PetscHMapIGet(claimshash, localPointsNew[p], &off);
    1250:       if (claims[off].rank < 0 || claims[off].index < 0) SETERRQ3(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid claim for local point %D, (%D, %D)", localPointsNew[p], claims[off].rank, claims[off].index);
    1251:       remotePointsNew[p] = claims[off];
    1252:     }
    1253:     PetscSFCreate(comm, &sfPointNew);
    1254:     PetscSFSetGraph(sfPointNew, pEnd-pStart, Nl+NlNew, localPointsNew, PETSC_OWN_POINTER, remotePointsNew, PETSC_OWN_POINTER);
    1255:     PetscSFSetUp(sfPointNew);
    1256:     DMSetPointSF(dm, sfPointNew);
    1257:     PetscObjectViewFromOptions((PetscObject) sfPointNew, NULL, "-petscsf_interp_view");
    1258:     PetscSFDestroy(&sfPointNew);
    1259:     PetscHMapIDestroy(&claimshash);
    1260:   }
    1261:   PetscHMapIJDestroy(&remoteHash);
    1262:   PetscSectionDestroy(&candidateSection);
    1263:   PetscSectionDestroy(&candidateRemoteSection);
    1264:   PetscSectionDestroy(&claimSection);
    1265:   PetscFree(candidates);
    1266:   PetscFree(candidatesRemote);
    1267:   PetscFree(claims);
    1268:   PetscLogEventEnd(DMPLEX_InterpolateSF,dm,0,0,0);
    1269:   return(0);
    1270: }

    1272: /*@
    1273:   DMPlexInterpolate - Take in a cell-vertex mesh and return one with all intermediate faces, edges, etc.

    1275:   Collective on dm

    1277:   Input Parameters:
    1278: + dm - The DMPlex object with only cells and vertices
    1279: - dmInt - The interpolated DM

    1281:   Output Parameter:
    1282: . dmInt - The complete DMPlex object

    1284:   Level: intermediate

    1286:   Notes:
    1287:     It does not copy over the coordinates.

    1289:   Developer Notes:
    1290:     It sets plex->interpolated = DMPLEX_INTERPOLATED_FULL.

    1292: .seealso: DMPlexUninterpolate(), DMPlexCreateFromCellListPetsc(), DMPlexCopyCoordinates()
    1293: @*/
    1294: PetscErrorCode DMPlexInterpolate(DM dm, DM *dmInt)
    1295: {
    1296:   DMPlexInterpolatedFlag interpolated;
    1297:   DM             idm, odm = dm;
    1298:   PetscSF        sfPoint;
    1299:   PetscInt       depth, dim, d;
    1300:   const char    *name;
    1301:   PetscBool      flg=PETSC_TRUE;

    1307:   PetscLogEventBegin(DMPLEX_Interpolate,dm,0,0,0);
    1308:   DMPlexGetDepth(dm, &depth);
    1309:   DMGetDimension(dm, &dim);
    1310:   DMPlexIsInterpolated(dm, &interpolated);
    1311:   if (interpolated == DMPLEX_INTERPOLATED_PARTIAL) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Not for partially interpolated meshes");
    1312:   if (interpolated == DMPLEX_INTERPOLATED_FULL) {
    1313:     PetscObjectReference((PetscObject) dm);
    1314:     idm  = dm;
    1315:   } else {
    1316:     for (d = 1; d < dim; ++d) {
    1317:       /* Create interpolated mesh */
    1318:       DMCreate(PetscObjectComm((PetscObject)dm), &idm);
    1319:       DMSetType(idm, DMPLEX);
    1320:       DMSetDimension(idm, dim);
    1321:       if (depth > 0) {
    1322:         DMPlexInterpolateFaces_Internal(odm, 1, idm);
    1323:         DMGetPointSF(odm, &sfPoint);
    1324:         {
    1325:           /* TODO: We need to systematically fix cases of distributed Plexes with no graph set */
    1326:           PetscInt nroots;
    1327:           PetscSFGetGraph(sfPoint, &nroots, NULL, NULL, NULL);
    1328:           if (nroots >= 0) {DMPlexInterpolatePointSF(idm, sfPoint);}
    1329:         }
    1330:       }
    1331:       if (odm != dm) {DMDestroy(&odm);}
    1332:       odm = idm;
    1333:     }
    1334:     PetscObjectGetName((PetscObject) dm,  &name);
    1335:     PetscObjectSetName((PetscObject) idm,  name);
    1336:     DMPlexCopyCoordinates(dm, idm);
    1337:     DMCopyLabels(dm, idm, PETSC_COPY_VALUES, PETSC_FALSE);
    1338:     PetscOptionsGetBool(((PetscObject)dm)->options, ((PetscObject)dm)->prefix, "-dm_plex_interpolate_orient_interfaces", &flg, NULL);
    1339:     if (flg) {DMPlexOrientInterface_Internal(idm);}
    1340:   }
    1341:   {
    1342:     PetscBool            isper;
    1343:     const PetscReal      *maxCell, *L;
    1344:     const DMBoundaryType *bd;

    1346:     DMGetPeriodicity(dm,&isper,&maxCell,&L,&bd);
    1347:     DMSetPeriodicity(idm,isper,maxCell,L,bd);
    1348:   }
    1349:   /* This function makes the mesh fully interpolated on all ranks */
    1350:   {
    1351:     DM_Plex *plex = (DM_Plex *) idm->data;
    1352:     plex->interpolated = plex->interpolatedCollective = DMPLEX_INTERPOLATED_FULL;
    1353:   }
    1354:   *dmInt = idm;
    1355:   PetscLogEventEnd(DMPLEX_Interpolate,dm,0,0,0);
    1356:   return(0);
    1357: }

    1359: /*@
    1360:   DMPlexCopyCoordinates - Copy coordinates from one mesh to another with the same vertices

    1362:   Collective on dmA

    1364:   Input Parameter:
    1365: . dmA - The DMPlex object with initial coordinates

    1367:   Output Parameter:
    1368: . dmB - The DMPlex object with copied coordinates

    1370:   Level: intermediate

    1372:   Note: This is typically used when adding pieces other than vertices to a mesh

    1374: .seealso: DMCopyLabels(), DMGetCoordinates(), DMGetCoordinatesLocal(), DMGetCoordinateDM(), DMGetCoordinateSection()
    1375: @*/
    1376: PetscErrorCode DMPlexCopyCoordinates(DM dmA, DM dmB)
    1377: {
    1378:   Vec            coordinatesA, coordinatesB;
    1379:   VecType        vtype;
    1380:   PetscSection   coordSectionA, coordSectionB;
    1381:   PetscScalar   *coordsA, *coordsB;
    1382:   PetscInt       spaceDim, Nf, vStartA, vStartB, vEndA, vEndB, coordSizeB, v, d;
    1383:   PetscInt       cStartA, cEndA, cStartB, cEndB, cS, cE, cdim;
    1384:   PetscBool      lc = PETSC_FALSE;

    1390:   if (dmA == dmB) return(0);
    1391:   DMGetCoordinateDim(dmA, &cdim);
    1392:   DMSetCoordinateDim(dmB, cdim);
    1393:   DMPlexGetDepthStratum(dmA, 0, &vStartA, &vEndA);
    1394:   DMPlexGetDepthStratum(dmB, 0, &vStartB, &vEndB);
    1395:   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);
    1396:   DMPlexGetHeightStratum(dmA, 0, &cStartA, &cEndA);
    1397:   DMPlexGetHeightStratum(dmB, 0, &cStartB, &cEndB);
    1398:   DMGetCoordinateSection(dmA, &coordSectionA);
    1399:   DMGetCoordinateSection(dmB, &coordSectionB);
    1400:   if (coordSectionA == coordSectionB) return(0);
    1401:   PetscSectionGetNumFields(coordSectionA, &Nf);
    1402:   if (!Nf) return(0);
    1403:   if (Nf > 1) SETERRQ1(PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "The number of coordinate fields must be 1, not %D", Nf);
    1404:   if (!coordSectionB) {
    1405:     PetscInt dim;

    1407:     PetscSectionCreate(PetscObjectComm((PetscObject) coordSectionA), &coordSectionB);
    1408:     DMGetCoordinateDim(dmA, &dim);
    1409:     DMSetCoordinateSection(dmB, dim, coordSectionB);
    1410:     PetscObjectDereference((PetscObject) coordSectionB);
    1411:   }
    1412:   PetscSectionSetNumFields(coordSectionB, 1);
    1413:   PetscSectionGetFieldComponents(coordSectionA, 0, &spaceDim);
    1414:   PetscSectionSetFieldComponents(coordSectionB, 0, spaceDim);
    1415:   PetscSectionGetChart(coordSectionA, &cS, &cE);
    1416:   if (cStartA <= cS && cS < cEndA) { /* localized coordinates */
    1417:     if ((cEndA-cStartA) != (cEndB-cStartB)) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "The number of cells in first DM %D != %D in the second DM", cEndA-cStartA, cEndB-cStartB);
    1418:     cS = cS - cStartA + cStartB;
    1419:     cE = vEndB;
    1420:     lc = PETSC_TRUE;
    1421:   } else {
    1422:     cS = vStartB;
    1423:     cE = vEndB;
    1424:   }
    1425:   PetscSectionSetChart(coordSectionB, cS, cE);
    1426:   for (v = vStartB; v < vEndB; ++v) {
    1427:     PetscSectionSetDof(coordSectionB, v, spaceDim);
    1428:     PetscSectionSetFieldDof(coordSectionB, v, 0, spaceDim);
    1429:   }
    1430:   if (lc) { /* localized coordinates */
    1431:     PetscInt c;

    1433:     for (c = cS-cStartB; c < cEndB-cStartB; c++) {
    1434:       PetscInt dof;

    1436:       PetscSectionGetDof(coordSectionA, c + cStartA, &dof);
    1437:       PetscSectionSetDof(coordSectionB, c + cStartB, dof);
    1438:       PetscSectionSetFieldDof(coordSectionB, c + cStartB, 0, dof);
    1439:     }
    1440:   }
    1441:   PetscSectionSetUp(coordSectionB);
    1442:   PetscSectionGetStorageSize(coordSectionB, &coordSizeB);
    1443:   DMGetCoordinatesLocal(dmA, &coordinatesA);
    1444:   VecCreate(PETSC_COMM_SELF, &coordinatesB);
    1445:   PetscObjectSetName((PetscObject) coordinatesB, "coordinates");
    1446:   VecSetSizes(coordinatesB, coordSizeB, PETSC_DETERMINE);
    1447:   VecGetBlockSize(coordinatesA, &d);
    1448:   VecSetBlockSize(coordinatesB, d);
    1449:   VecGetType(coordinatesA, &vtype);
    1450:   VecSetType(coordinatesB, vtype);
    1451:   VecGetArray(coordinatesA, &coordsA);
    1452:   VecGetArray(coordinatesB, &coordsB);
    1453:   for (v = 0; v < vEndB-vStartB; ++v) {
    1454:     PetscInt offA, offB;

    1456:     PetscSectionGetOffset(coordSectionA, v + vStartA, &offA);
    1457:     PetscSectionGetOffset(coordSectionB, v + vStartB, &offB);
    1458:     for (d = 0; d < spaceDim; ++d) {
    1459:       coordsB[offB+d] = coordsA[offA+d];
    1460:     }
    1461:   }
    1462:   if (lc) { /* localized coordinates */
    1463:     PetscInt c;

    1465:     for (c = cS-cStartB; c < cEndB-cStartB; c++) {
    1466:       PetscInt dof, offA, offB;

    1468:       PetscSectionGetOffset(coordSectionA, c + cStartA, &offA);
    1469:       PetscSectionGetOffset(coordSectionB, c + cStartB, &offB);
    1470:       PetscSectionGetDof(coordSectionA, c + cStartA, &dof);
    1471:       PetscArraycpy(coordsB + offB,coordsA + offA,dof);
    1472:     }
    1473:   }
    1474:   VecRestoreArray(coordinatesA, &coordsA);
    1475:   VecRestoreArray(coordinatesB, &coordsB);
    1476:   DMSetCoordinatesLocal(dmB, coordinatesB);
    1477:   VecDestroy(&coordinatesB);
    1478:   return(0);
    1479: }

    1481: /*@
    1482:   DMPlexUninterpolate - Take in a mesh with all intermediate faces, edges, etc. and return a cell-vertex mesh

    1484:   Collective on dm

    1486:   Input Parameter:
    1487: . dm - The complete DMPlex object

    1489:   Output Parameter:
    1490: . dmUnint - The DMPlex object with only cells and vertices

    1492:   Level: intermediate

    1494:   Notes:
    1495:     It does not copy over the coordinates.

    1497:   Developer Notes:
    1498:     It sets plex->interpolated = DMPLEX_INTERPOLATED_NONE.

    1500: .seealso: DMPlexInterpolate(), DMPlexCreateFromCellListPetsc(), DMPlexCopyCoordinates()
    1501: @*/
    1502: PetscErrorCode DMPlexUninterpolate(DM dm, DM *dmUnint)
    1503: {
    1504:   DMPlexInterpolatedFlag interpolated;
    1505:   DM             udm;
    1506:   PetscInt       dim, vStart, vEnd, cStart, cEnd, c, maxConeSize = 0, *cone;

    1512:   DMGetDimension(dm, &dim);
    1513:   DMPlexIsInterpolated(dm, &interpolated);
    1514:   if (interpolated == DMPLEX_INTERPOLATED_PARTIAL) SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Not for partially interpolated meshes");
    1515:   if (interpolated == DMPLEX_INTERPOLATED_NONE || dim <= 1) {
    1516:     /* in case dim <= 1 just keep the DMPLEX_INTERPOLATED_FULL flag */
    1517:     PetscObjectReference((PetscObject) dm);
    1518:     *dmUnint = dm;
    1519:     return(0);
    1520:   }
    1521:   DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);
    1522:   DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd);
    1523:   DMCreate(PetscObjectComm((PetscObject) dm), &udm);
    1524:   DMSetType(udm, DMPLEX);
    1525:   DMSetDimension(udm, dim);
    1526:   DMPlexSetChart(udm, cStart, vEnd);
    1527:   for (c = cStart; c < cEnd; ++c) {
    1528:     PetscInt *closure = NULL, closureSize, cl, coneSize = 0;

    1530:     DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);
    1531:     for (cl = 0; cl < closureSize*2; cl += 2) {
    1532:       const PetscInt p = closure[cl];

    1534:       if ((p >= vStart) && (p < vEnd)) ++coneSize;
    1535:     }
    1536:     DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);
    1537:     DMPlexSetConeSize(udm, c, coneSize);
    1538:     maxConeSize = PetscMax(maxConeSize, coneSize);
    1539:   }
    1540:   DMSetUp(udm);
    1541:   PetscMalloc1(maxConeSize, &cone);
    1542:   for (c = cStart; c < cEnd; ++c) {
    1543:     PetscInt *closure = NULL, closureSize, cl, coneSize = 0;

    1545:     DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);
    1546:     for (cl = 0; cl < closureSize*2; cl += 2) {
    1547:       const PetscInt p = closure[cl];

    1549:       if ((p >= vStart) && (p < vEnd)) cone[coneSize++] = p;
    1550:     }
    1551:     DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);
    1552:     DMPlexSetCone(udm, c, cone);
    1553:   }
    1554:   PetscFree(cone);
    1555:   DMPlexSymmetrize(udm);
    1556:   DMPlexStratify(udm);
    1557:   /* Reduce SF */
    1558:   {
    1559:     PetscSF            sfPoint, sfPointUn;
    1560:     const PetscSFNode *remotePoints;
    1561:     const PetscInt    *localPoints;
    1562:     PetscSFNode       *remotePointsUn;
    1563:     PetscInt          *localPointsUn;
    1564:     PetscInt           vEnd, numRoots, numLeaves, l;
    1565:     PetscInt           numLeavesUn = 0, n = 0;
    1566:     PetscErrorCode     ierr;

    1568:     /* Get original SF information */
    1569:     DMGetPointSF(dm, &sfPoint);
    1570:     DMGetPointSF(udm, &sfPointUn);
    1571:     DMPlexGetDepthStratum(dm, 0, NULL, &vEnd);
    1572:     PetscSFGetGraph(sfPoint, &numRoots, &numLeaves, &localPoints, &remotePoints);
    1573:     /* Allocate space for cells and vertices */
    1574:     for (l = 0; l < numLeaves; ++l) if (localPoints[l] < vEnd) numLeavesUn++;
    1575:     /* Fill in leaves */
    1576:     if (vEnd >= 0) {
    1577:       PetscMalloc1(numLeavesUn, &remotePointsUn);
    1578:       PetscMalloc1(numLeavesUn, &localPointsUn);
    1579:       for (l = 0; l < numLeaves; l++) {
    1580:         if (localPoints[l] < vEnd) {
    1581:           localPointsUn[n]        = localPoints[l];
    1582:           remotePointsUn[n].rank  = remotePoints[l].rank;
    1583:           remotePointsUn[n].index = remotePoints[l].index;
    1584:           ++n;
    1585:         }
    1586:       }
    1587:       if (n != numLeavesUn) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Inconsistent number of leaves %d != %d", n, numLeavesUn);
    1588:       PetscSFSetGraph(sfPointUn, vEnd, numLeavesUn, localPointsUn, PETSC_OWN_POINTER, remotePointsUn, PETSC_OWN_POINTER);
    1589:     }
    1590:   }
    1591:   {
    1592:     PetscBool            isper;
    1593:     const PetscReal      *maxCell, *L;
    1594:     const DMBoundaryType *bd;

    1596:     DMGetPeriodicity(dm,&isper,&maxCell,&L,&bd);
    1597:     DMSetPeriodicity(udm,isper,maxCell,L,bd);
    1598:   }
    1599:   /* This function makes the mesh fully uninterpolated on all ranks */
    1600:   {
    1601:     DM_Plex *plex = (DM_Plex *) udm->data;
    1602:     plex->interpolated = plex->interpolatedCollective = DMPLEX_INTERPOLATED_NONE;
    1603:   }
    1604:   *dmUnint = udm;
    1605:   return(0);
    1606: }

    1608: static PetscErrorCode DMPlexIsInterpolated_Internal(DM dm, DMPlexInterpolatedFlag *interpolated)
    1609: {
    1610:   PetscInt       coneSize, depth, dim, h, p, pStart, pEnd;
    1611:   MPI_Comm       comm;

    1615:   PetscObjectGetComm((PetscObject)dm, &comm);
    1616:   DMPlexGetDepth(dm, &depth);
    1617:   DMGetDimension(dm, &dim);

    1619:   if (depth == dim) {
    1620:     *interpolated = DMPLEX_INTERPOLATED_FULL;
    1621:     if (!dim) goto finish;

    1623:     /* Check points at height = dim are vertices (have no cones) */
    1624:     DMPlexGetHeightStratum(dm, dim, &pStart, &pEnd);
    1625:     for (p=pStart; p<pEnd; p++) {
    1626:       DMPlexGetConeSize(dm, p, &coneSize);
    1627:       if (coneSize) {
    1628:         *interpolated = DMPLEX_INTERPOLATED_PARTIAL;
    1629:         goto finish;
    1630:       }
    1631:     }

    1633:     /* Check points at height < dim have cones */
    1634:     for (h=0; h<dim; h++) {
    1635:       DMPlexGetHeightStratum(dm, h, &pStart, &pEnd);
    1636:       for (p=pStart; p<pEnd; p++) {
    1637:         DMPlexGetConeSize(dm, p, &coneSize);
    1638:         if (!coneSize) {
    1639:           *interpolated = DMPLEX_INTERPOLATED_PARTIAL;
    1640:           goto finish;
    1641:         }
    1642:       }
    1643:     }
    1644:   } else if (depth == 1) {
    1645:     *interpolated = DMPLEX_INTERPOLATED_NONE;
    1646:   } else {
    1647:     *interpolated = DMPLEX_INTERPOLATED_PARTIAL;
    1648:   }
    1649: finish:
    1650:   return(0);
    1651: }

    1653: /*@
    1654:   DMPlexIsInterpolated - Find out to what extent the DMPlex is topologically interpolated.

    1656:   Not Collective

    1658:   Input Parameter:
    1659: . dm      - The DM object

    1661:   Output Parameter:
    1662: . interpolated - Flag whether the DM is interpolated

    1664:   Level: intermediate

    1666:   Notes:
    1667:   Unlike DMPlexIsInterpolatedCollective(), this is NOT collective
    1668:   so the results can be different on different ranks in special cases.
    1669:   However, DMPlexInterpolate() guarantees the result is the same on all.

    1671:   Unlike DMPlexIsInterpolatedCollective(), this cannot return DMPLEX_INTERPOLATED_MIXED.

    1673:   Developer Notes:
    1674:   Initially, plex->interpolated = DMPLEX_INTERPOLATED_INVALID.

    1676:   If plex->interpolated == DMPLEX_INTERPOLATED_INVALID, DMPlexIsInterpolated_Internal() is called.
    1677:   It checks the actual topology and sets plex->interpolated on each rank separately to one of
    1678:   DMPLEX_INTERPOLATED_NONE, DMPLEX_INTERPOLATED_PARTIAL or DMPLEX_INTERPOLATED_FULL.

    1680:   If plex->interpolated != DMPLEX_INTERPOLATED_INVALID, this function just returns plex->interpolated.

    1682:   DMPlexInterpolate() sets plex->interpolated = DMPLEX_INTERPOLATED_FULL,
    1683:   and DMPlexUninterpolate() sets plex->interpolated = DMPLEX_INTERPOLATED_NONE.

    1685: .seealso: DMPlexInterpolate(), DMPlexIsInterpolatedCollective()
    1686: @*/
    1687: PetscErrorCode DMPlexIsInterpolated(DM dm, DMPlexInterpolatedFlag *interpolated)
    1688: {
    1689:   DM_Plex        *plex = (DM_Plex *) dm->data;
    1690:   PetscErrorCode  ierr;

    1695:   if (plex->interpolated < 0) {
    1696:     DMPlexIsInterpolated_Internal(dm, &plex->interpolated);
    1697:   } else if (PetscDefined (USE_DEBUG)) {
    1698:     DMPlexInterpolatedFlag flg;

    1700:     DMPlexIsInterpolated_Internal(dm, &flg);
    1701:     if (flg != plex->interpolated) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Stashed DMPlexInterpolatedFlag %s is inconsistent with current %s", DMPlexInterpolatedFlags[plex->interpolated], DMPlexInterpolatedFlags[flg]);
    1702:   }
    1703:   *interpolated = plex->interpolated;
    1704:   return(0);
    1705: }

    1707: /*@
    1708:   DMPlexIsInterpolatedCollective - Find out to what extent the DMPlex is topologically interpolated (in collective manner).

    1710:   Collective

    1712:   Input Parameter:
    1713: . dm      - The DM object

    1715:   Output Parameter:
    1716: . interpolated - Flag whether the DM is interpolated

    1718:   Level: intermediate

    1720:   Notes:
    1721:   Unlike DMPlexIsInterpolated(), this is collective so the results are guaranteed to be the same on all ranks.

    1723:   This function will return DMPLEX_INTERPOLATED_MIXED if the results of DMPlexIsInterpolated() are different on different ranks.

    1725:   Developer Notes:
    1726:   Initially, plex->interpolatedCollective = DMPLEX_INTERPOLATED_INVALID.

    1728:   If plex->interpolatedCollective == DMPLEX_INTERPOLATED_INVALID, this function calls DMPlexIsInterpolated() which sets plex->interpolated.
    1729:   MPI_Allreduce() is then called and collectively consistent flag plex->interpolatedCollective is set and returned;
    1730:   if plex->interpolated varies on different ranks, plex->interpolatedCollective = DMPLEX_INTERPOLATED_MIXED,
    1731:   otherwise sets plex->interpolatedCollective = plex->interpolated.

    1733:   If plex->interpolatedCollective != DMPLEX_INTERPOLATED_INVALID, this function just returns plex->interpolatedCollective.

    1735: .seealso: DMPlexInterpolate(), DMPlexIsInterpolated()
    1736: @*/
    1737: PetscErrorCode DMPlexIsInterpolatedCollective(DM dm, DMPlexInterpolatedFlag *interpolated)
    1738: {
    1739:   DM_Plex        *plex = (DM_Plex *) dm->data;
    1740:   PetscBool       debug=PETSC_FALSE;
    1741:   PetscErrorCode  ierr;

    1746:   PetscOptionsGetBool(((PetscObject) dm)->options, ((PetscObject) dm)->prefix, "-dm_plex_is_interpolated_collective_debug", &debug, NULL);
    1747:   if (plex->interpolatedCollective < 0) {
    1748:     DMPlexInterpolatedFlag  min, max;
    1749:     MPI_Comm                comm;

    1751:     PetscObjectGetComm((PetscObject)dm, &comm);
    1752:     DMPlexIsInterpolated(dm, &plex->interpolatedCollective);
    1753:     MPI_Allreduce(&plex->interpolatedCollective, &min, 1, MPIU_ENUM, MPI_MIN, comm);
    1754:     MPI_Allreduce(&plex->interpolatedCollective, &max, 1, MPIU_ENUM, MPI_MAX, comm);
    1755:     if (min != max) plex->interpolatedCollective = DMPLEX_INTERPOLATED_MIXED;
    1756:     if (debug) {
    1757:       PetscMPIInt rank;

    1759:       MPI_Comm_rank(comm, &rank);
    1760:       PetscSynchronizedPrintf(comm, "[%d] interpolated=%s interpolatedCollective=%s\n", rank, DMPlexInterpolatedFlags[plex->interpolated], DMPlexInterpolatedFlags[plex->interpolatedCollective]);
    1761:       PetscSynchronizedFlush(comm, PETSC_STDOUT);
    1762:     }
    1763:   }
    1764:   *interpolated = plex->interpolatedCollective;
    1765:   return(0);
    1766: }