Actual source code: plexorient.c

      1: #include <petsc/private/dmpleximpl.h>
      2: #include <petscsf.h>

      4: /*@
      5:   DMPlexOrientPoint - Act with the given orientation on the cone points of this mesh point, and update its use in the mesh.

      7:   Not Collective

      9:   Input Parameters:
     10: + dm - The `DM`
     11: . p  - The mesh point
     12: - o  - The orientation

     14:   Level: intermediate

     16: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexOrient()`, `DMPlexGetCone()`, `DMPlexGetConeOrientation()`, `DMPlexInterpolate()`, `DMPlexGetChart()`
     17: @*/
     18: PetscErrorCode DMPlexOrientPoint(DM dm, PetscInt p, PetscInt o)
     19: {
     20:   DMPolytopeType  ct;
     21:   const PetscInt *arr, *cone, *ornt, *support;
     22:   PetscInt       *newcone, *newornt;
     23:   PetscInt        coneSize, c, supportSize, s;

     25:   PetscFunctionBegin;
     27:   PetscCall(DMPlexGetCellType(dm, p, &ct));
     28:   arr = DMPolytopeTypeGetArrangement(ct, o);
     29:   if (!arr) PetscFunctionReturn(PETSC_SUCCESS);
     30:   PetscCall(DMPlexGetConeSize(dm, p, &coneSize));
     31:   PetscCall(DMPlexGetCone(dm, p, &cone));
     32:   PetscCall(DMPlexGetConeOrientation(dm, p, &ornt));
     33:   PetscCall(DMGetWorkArray(dm, coneSize, MPIU_INT, &newcone));
     34:   PetscCall(DMGetWorkArray(dm, coneSize, MPIU_INT, &newornt));
     35:   for (c = 0; c < coneSize; ++c) {
     36:     DMPolytopeType ft;
     37:     PetscInt       nO;

     39:     PetscCall(DMPlexGetCellType(dm, cone[c], &ft));
     40:     nO         = DMPolytopeTypeGetNumArrangements(ft) / 2;
     41:     newcone[c] = cone[arr[c * 2 + 0]];
     42:     newornt[c] = DMPolytopeTypeComposeOrientation(ft, arr[c * 2 + 1], ornt[arr[c * 2 + 0]]);
     43:     PetscCheck(!newornt[c] || !(newornt[c] >= nO || newornt[c] < -nO), PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid orientation %" PetscInt_FMT " not in [%" PetscInt_FMT ",%" PetscInt_FMT ") for %s %" PetscInt_FMT, newornt[c], -nO, nO, DMPolytopeTypes[ft], cone[c]);
     44:   }
     45:   PetscCall(DMPlexSetCone(dm, p, newcone));
     46:   PetscCall(DMPlexSetConeOrientation(dm, p, newornt));
     47:   PetscCall(DMRestoreWorkArray(dm, coneSize, MPIU_INT, &newcone));
     48:   PetscCall(DMRestoreWorkArray(dm, coneSize, MPIU_INT, &newornt));
     49:   /* Update orientation of this point in the support points */
     50:   PetscCall(DMPlexGetSupportSize(dm, p, &supportSize));
     51:   PetscCall(DMPlexGetSupport(dm, p, &support));
     52:   for (s = 0; s < supportSize; ++s) {
     53:     PetscCall(DMPlexGetConeSize(dm, support[s], &coneSize));
     54:     PetscCall(DMPlexGetCone(dm, support[s], &cone));
     55:     PetscCall(DMPlexGetConeOrientation(dm, support[s], &ornt));
     56:     for (c = 0; c < coneSize; ++c) {
     57:       PetscInt po;

     59:       if (cone[c] != p) continue;
     60:       /* ornt[c] * 0 = target = po * o so that po = ornt[c] * o^{-1} */
     61:       po = DMPolytopeTypeComposeOrientationInv(ct, ornt[c], o);
     62:       PetscCall(DMPlexInsertConeOrientation(dm, support[s], c, po));
     63:     }
     64:   }
     65:   PetscFunctionReturn(PETSC_SUCCESS);
     66: }

     68: static PetscInt GetPointIndex(PetscInt point, PetscInt pStart, PetscInt pEnd, const PetscInt points[])
     69: {
     70:   if (points) {
     71:     PetscInt loc;

     73:     PetscCallAbort(PETSC_COMM_SELF, PetscFindInt(point, pEnd - pStart, points, &loc));
     74:     if (loc >= 0) return loc;
     75:   } else {
     76:     if (point >= pStart && point < pEnd) return point - pStart;
     77:   }
     78:   return -1;
     79: }

     81: /*
     82:   - Checks face match
     83:     - Flips non-matching
     84:   - Inserts faces of support cells in FIFO
     85: */
     86: static PetscErrorCode DMPlexCheckFace_Internal(DM dm, PetscInt *faceFIFO, PetscInt *fTop, PetscInt *fBottom, IS cellIS, IS faceIS, PetscBT seenCells, PetscBT flippedCells, PetscBT seenFaces)
     87: {
     88:   const PetscInt *supp, *coneA, *coneB, *coneOA, *coneOB;
     89:   PetscInt        suppSize, Ns = 0, coneSizeA, coneSizeB, posA = -1, posB = -1;
     90:   PetscInt        face, dim, indC[3], indS[3], seenA, flippedA, seenB, flippedB, mismatch;
     91:   const PetscInt *cells, *faces;
     92:   PetscInt        cStart, cEnd, fStart, fEnd;

     94:   PetscFunctionBegin;
     95:   face = faceFIFO[(*fTop)++];
     96:   PetscCall(ISGetPointRange(cellIS, &cStart, &cEnd, &cells));
     97:   PetscCall(ISGetPointRange(faceIS, &fStart, &fEnd, &faces));
     98:   PetscCall(DMPlexGetPointDepth(dm, cells ? cells[cStart] : cStart, &dim));
     99:   PetscCall(DMPlexGetSupportSize(dm, face, &suppSize));
    100:   PetscCall(DMPlexGetSupport(dm, face, &supp));
    101:   // Filter the support
    102:   for (PetscInt s = 0; s < suppSize; ++s) {
    103:     // Filter support
    104:     indC[Ns] = GetPointIndex(supp[s], cStart, cEnd, cells);
    105:     indS[Ns] = s;
    106:     if (indC[Ns] >= 0) ++Ns;
    107:   }
    108:   if (Ns < 2) PetscFunctionReturn(PETSC_SUCCESS);
    109:   PetscCheck(Ns == 2, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Faces should separate only two cells, not %" PetscInt_FMT, Ns);
    110:   PetscCheck(indC[0] >= 0 && indC[1] >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Support cells %" PetscInt_FMT " (%" PetscInt_FMT ") and %" PetscInt_FMT " (%" PetscInt_FMT ") are not both valid", supp[0], indC[0], supp[1], indC[1]);
    111:   seenA    = PetscBTLookup(seenCells, indC[0]);
    112:   flippedA = PetscBTLookup(flippedCells, indC[0]) ? 1 : 0;
    113:   seenB    = PetscBTLookup(seenCells, indC[1]);
    114:   flippedB = PetscBTLookup(flippedCells, indC[1]) ? 1 : 0;

    116:   PetscCall(DMPlexGetConeSize(dm, supp[indS[0]], &coneSizeA));
    117:   PetscCall(DMPlexGetConeSize(dm, supp[indS[1]], &coneSizeB));
    118:   PetscCall(DMPlexGetCone(dm, supp[indS[0]], &coneA));
    119:   PetscCall(DMPlexGetCone(dm, supp[indS[1]], &coneB));
    120:   PetscCall(DMPlexGetConeOrientation(dm, supp[indS[0]], &coneOA));
    121:   PetscCall(DMPlexGetConeOrientation(dm, supp[indS[1]], &coneOB));
    122:   for (PetscInt c = 0; c < coneSizeA; ++c) {
    123:     const PetscInt indF = GetPointIndex(coneA[c], fStart, fEnd, faces);

    125:     // Filter cone
    126:     if (indF < 0) continue;
    127:     if (!PetscBTLookup(seenFaces, indF)) {
    128:       faceFIFO[(*fBottom)++] = coneA[c];
    129:       PetscCall(PetscBTSet(seenFaces, indF));
    130:     }
    131:     if (coneA[c] == face) posA = c;
    132:     PetscCheck(*fBottom <= fEnd - fStart, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Face %" PetscInt_FMT " was pushed exceeding capacity %" PetscInt_FMT " > %" PetscInt_FMT, coneA[c], *fBottom, fEnd - fStart);
    133:   }
    134:   PetscCheck(posA >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Face %" PetscInt_FMT " could not be located in cell %" PetscInt_FMT, face, supp[indS[0]]);
    135:   for (PetscInt c = 0; c < coneSizeB; ++c) {
    136:     const PetscInt indF = GetPointIndex(coneB[c], fStart, fEnd, faces);

    138:     // Filter cone
    139:     if (indF < 0) continue;
    140:     if (!PetscBTLookup(seenFaces, indF)) {
    141:       faceFIFO[(*fBottom)++] = coneB[c];
    142:       PetscCall(PetscBTSet(seenFaces, indF));
    143:     }
    144:     if (coneB[c] == face) posB = c;
    145:     PetscCheck(*fBottom <= fEnd - fStart, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Face %" PetscInt_FMT " was pushed exceeding capacity %" PetscInt_FMT " > %" PetscInt_FMT, coneA[c], *fBottom, fEnd - fStart);
    146:   }
    147:   PetscCheck(posB >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Face %" PetscInt_FMT " could not be located in cell %" PetscInt_FMT, face, supp[indS[1]]);

    149:   if (dim == 1) {
    150:     mismatch = posA == posB;
    151:   } else {
    152:     mismatch = coneOA[posA] == coneOB[posB];
    153:   }

    155:   if (mismatch ^ (flippedA ^ flippedB)) {
    156:     PetscCheck(!seenA || !seenB, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Previously seen cells %" PetscInt_FMT " and %" PetscInt_FMT " do not match: Fault mesh is non-orientable", supp[indS[0]], supp[indS[1]]);
    157:     if (!seenA && !flippedA) PetscCall(PetscBTSet(flippedCells, indC[0]));
    158:     else {
    159:       PetscCheck(!seenB && !flippedB, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Inconsistent mesh orientation: Fault mesh is non-orientable");
    160:       PetscCall(PetscBTSet(flippedCells, indC[1]));
    161:     }
    162:   } else PetscCheck(!mismatch || !flippedA || !flippedB, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Attempt to flip already flipped cell: Fault mesh is non-orientable");
    163:   PetscCall(PetscBTSet(seenCells, indC[0]));
    164:   PetscCall(PetscBTSet(seenCells, indC[1]));
    165:   PetscFunctionReturn(PETSC_SUCCESS);
    166: }

    168: static PetscErrorCode DMPlexCheckFace_Old_Internal(DM dm, PetscInt *faceFIFO, PetscInt *fTop, PetscInt *fBottom, PetscInt cStart, PetscInt fStart, PetscInt fEnd, PetscBT seenCells, PetscBT flippedCells, PetscBT seenFaces)
    169: {
    170:   const PetscInt *support, *coneA, *coneB, *coneOA, *coneOB;
    171:   PetscInt        supportSize, coneSizeA, coneSizeB, posA = -1, posB = -1;
    172:   PetscInt        face, dim, seenA, flippedA, seenB, flippedB, mismatch, c;

    174:   PetscFunctionBegin;
    175:   face = faceFIFO[(*fTop)++];
    176:   PetscCall(DMGetDimension(dm, &dim));
    177:   PetscCall(DMPlexGetSupportSize(dm, face, &supportSize));
    178:   PetscCall(DMPlexGetSupport(dm, face, &support));
    179:   if (supportSize < 2) PetscFunctionReturn(PETSC_SUCCESS);
    180:   PetscCheck(supportSize == 2, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Faces should separate only two cells, not %" PetscInt_FMT, supportSize);
    181:   seenA    = PetscBTLookup(seenCells, support[0] - cStart);
    182:   flippedA = PetscBTLookup(flippedCells, support[0] - cStart) ? 1 : 0;
    183:   seenB    = PetscBTLookup(seenCells, support[1] - cStart);
    184:   flippedB = PetscBTLookup(flippedCells, support[1] - cStart) ? 1 : 0;

    186:   PetscCall(DMPlexGetConeSize(dm, support[0], &coneSizeA));
    187:   PetscCall(DMPlexGetConeSize(dm, support[1], &coneSizeB));
    188:   PetscCall(DMPlexGetCone(dm, support[0], &coneA));
    189:   PetscCall(DMPlexGetCone(dm, support[1], &coneB));
    190:   PetscCall(DMPlexGetConeOrientation(dm, support[0], &coneOA));
    191:   PetscCall(DMPlexGetConeOrientation(dm, support[1], &coneOB));
    192:   for (c = 0; c < coneSizeA; ++c) {
    193:     if (!PetscBTLookup(seenFaces, coneA[c] - fStart)) {
    194:       faceFIFO[(*fBottom)++] = coneA[c];
    195:       PetscCall(PetscBTSet(seenFaces, coneA[c] - fStart));
    196:     }
    197:     if (coneA[c] == face) posA = c;
    198:     PetscCheck(*fBottom <= fEnd - fStart, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Face %" PetscInt_FMT " was pushed exceeding capacity %" PetscInt_FMT " > %" PetscInt_FMT, coneA[c], *fBottom, fEnd - fStart);
    199:   }
    200:   PetscCheck(posA >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Face %" PetscInt_FMT " could not be located in cell %" PetscInt_FMT, face, support[0]);
    201:   for (c = 0; c < coneSizeB; ++c) {
    202:     if (!PetscBTLookup(seenFaces, coneB[c] - fStart)) {
    203:       faceFIFO[(*fBottom)++] = coneB[c];
    204:       PetscCall(PetscBTSet(seenFaces, coneB[c] - fStart));
    205:     }
    206:     if (coneB[c] == face) posB = c;
    207:     PetscCheck(*fBottom <= fEnd - fStart, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Face %" PetscInt_FMT " was pushed exceeding capacity %" PetscInt_FMT " > %" PetscInt_FMT, coneA[c], *fBottom, fEnd - fStart);
    208:   }
    209:   PetscCheck(posB >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Face %" PetscInt_FMT " could not be located in cell %" PetscInt_FMT, face, support[1]);

    211:   if (dim == 1) {
    212:     mismatch = posA == posB;
    213:   } else {
    214:     mismatch = coneOA[posA] == coneOB[posB];
    215:   }

    217:   if (mismatch ^ (flippedA ^ flippedB)) {
    218:     PetscCheck(!seenA || !seenB, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Previously seen cells %" PetscInt_FMT " and %" PetscInt_FMT " do not match: Fault mesh is non-orientable", support[0], support[1]);
    219:     if (!seenA && !flippedA) {
    220:       PetscCall(PetscBTSet(flippedCells, support[0] - cStart));
    221:     } else if (!seenB && !flippedB) {
    222:       PetscCall(PetscBTSet(flippedCells, support[1] - cStart));
    223:     } else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Inconsistent mesh orientation: Fault mesh is non-orientable");
    224:   } else PetscCheck(!mismatch || !flippedA || !flippedB, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Attempt to flip already flipped cell: Fault mesh is non-orientable");
    225:   PetscCall(PetscBTSet(seenCells, support[0] - cStart));
    226:   PetscCall(PetscBTSet(seenCells, support[1] - cStart));
    227:   PetscFunctionReturn(PETSC_SUCCESS);
    228: }

    230: /*
    231:   DMPlexOrient_Serial - Compute valid orientation for local connected components

    233:   Not collective

    235:   Input Parameters:
    236:   + dm         - The `DM`
    237:   - cellHeight - The height of k-cells to be oriented

    239:   Output Parameters:
    240:   + Ncomp        - The number of connected component
    241:   . cellComp     - The connected component for each local cell
    242:   . faceComp     - The connected component for each local face
    243:   - flippedCells - Marked cells should be inverted

    245:   Level: developer

    247: .seealso: `DMPlexOrient()`
    248: */
    249: static PetscErrorCode DMPlexOrient_Serial(DM dm, IS cellIS, IS faceIS, PetscInt *Ncomp, PetscInt cellComp[], PetscInt faceComp[], PetscBT flippedCells)
    250: {
    251:   PetscBT         seenCells, seenFaces;
    252:   PetscInt       *faceFIFO;
    253:   const PetscInt *cells = NULL, *faces = NULL;
    254:   PetscInt        cStart = 0, cEnd = 0, fStart = 0, fEnd = 0;

    256:   PetscFunctionBegin;
    257:   if (cellIS) PetscCall(ISGetPointRange(cellIS, &cStart, &cEnd, &cells));
    258:   if (faceIS) PetscCall(ISGetPointRange(faceIS, &fStart, &fEnd, &faces));
    259:   PetscCall(PetscBTCreate(cEnd - cStart, &seenCells));
    260:   PetscCall(PetscBTMemzero(cEnd - cStart, seenCells));
    261:   PetscCall(PetscBTCreate(fEnd - fStart, &seenFaces));
    262:   PetscCall(PetscBTMemzero(fEnd - fStart, seenFaces));
    263:   PetscCall(PetscMalloc1(fEnd - fStart, &faceFIFO));
    264:   *Ncomp = 0;
    265:   for (PetscInt c = 0; c < cEnd - cStart; ++c) cellComp[c] = -1;
    266:   do {
    267:     PetscInt cc, fTop, fBottom;

    269:     // Look for first unmarked cell
    270:     for (cc = cStart; cc < cEnd; ++cc)
    271:       if (cellComp[cc - cStart] < 0) break;
    272:     if (cc >= cEnd) break;
    273:     // Initialize FIFO with first cell in component
    274:     {
    275:       const PetscInt  cell = cells ? cells[cc] : cc;
    276:       const PetscInt *cone;
    277:       PetscInt        coneSize;

    279:       fTop = fBottom = 0;
    280:       PetscCall(DMPlexGetConeSize(dm, cell, &coneSize));
    281:       PetscCall(DMPlexGetCone(dm, cell, &cone));
    282:       for (PetscInt c = 0; c < coneSize; ++c) {
    283:         const PetscInt idx = GetPointIndex(cone[c], fStart, fEnd, faces);

    285:         // Cell faces are guaranteed to be in the face set
    286:         PetscCheck(idx >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Face %" PetscInt_FMT " of cell %" PetscInt_FMT " is not present in the label", cone[c], cell);
    287:         faceFIFO[fBottom++] = cone[c];
    288:         PetscCall(PetscBTSet(seenFaces, idx));
    289:       }
    290:       PetscCall(PetscBTSet(seenCells, cc - cStart));
    291:     }
    292:     // Consider each face in FIFO
    293:     while (fTop < fBottom) PetscCall(DMPlexCheckFace_Internal(dm, faceFIFO, &fTop, &fBottom, cellIS, faceIS, seenCells, flippedCells, seenFaces));
    294:     // Set component for cells and faces
    295:     for (PetscInt c = 0; c < cEnd - cStart; ++c) {
    296:       if (PetscBTLookup(seenCells, c)) cellComp[c] = *Ncomp;
    297:     }
    298:     for (PetscInt f = 0; f < fEnd - fStart; ++f) {
    299:       if (PetscBTLookup(seenFaces, f)) faceComp[f] = *Ncomp;
    300:     }
    301:     // Wipe seenCells and seenFaces for next component
    302:     PetscCall(PetscBTMemzero(fEnd - fStart, seenFaces));
    303:     PetscCall(PetscBTMemzero(cEnd - cStart, seenCells));
    304:     ++(*Ncomp);
    305:   } while (1);
    306:   PetscCall(PetscBTDestroy(&seenCells));
    307:   PetscCall(PetscBTDestroy(&seenFaces));
    308:   PetscCall(PetscFree(faceFIFO));
    309:   PetscFunctionReturn(PETSC_SUCCESS);
    310: }

    312: /*@
    313:   DMPlexOrient - Give a consistent orientation to the input mesh

    315:   Input Parameter:
    316: . dm - The `DM`

    318:   Note:
    319:   The orientation data for the `DM` are change in-place.

    321:   This routine will fail for non-orientable surfaces, such as the Moebius strip.

    323:   Level: advanced

    325: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMCreate()`
    326: @*/
    327: PetscErrorCode DMPlexOrient(DM dm)
    328: {
    329: #if 0
    330:   IS cellIS, faceIS;

    332:   PetscFunctionBegin;
    333:   PetscCall(DMPlexGetAllCells_Internal(dm, &cellIS));
    334:   PetscCall(DMPlexGetAllFaces_Internal(dm, &faceIS));
    335:   PetscCall(DMPlexOrientCells_Internal(dm, cellIS, faceIS));
    336:   PetscCall(ISDestroy(&cellIS));
    337:   PetscCall(ISDestroy(&faceIS));
    338:   PetscFunctionReturn(PETSC_SUCCESS);
    339: #else
    340:   MPI_Comm           comm;
    341:   PetscSF            sf;
    342:   const PetscInt    *lpoints;
    343:   const PetscSFNode *rpoints;
    344:   PetscSFNode       *rorntComp = NULL, *lorntComp = NULL;
    345:   PetscInt          *numNeighbors, **neighbors, *locSupport = NULL;
    346:   PetscSFNode       *nrankComp;
    347:   PetscBool         *match, *flipped;
    348:   PetscBT            seenCells, flippedCells, seenFaces;
    349:   PetscInt          *faceFIFO, fTop, fBottom, *cellComp, *faceComp;
    350:   PetscInt           numLeaves, numRoots, dim, h, cStart, cEnd, c, cell, fStart, fEnd, face, off, totNeighbors = 0;
    351:   PetscMPIInt        rank, size, numComponents, comp = 0;
    352:   PetscBool          flg, flg2;
    353:   PetscViewer        viewer = NULL, selfviewer = NULL;

    355:   PetscFunctionBegin;
    356:   PetscCall(PetscObjectGetComm((PetscObject)dm, &comm));
    357:   PetscCallMPI(MPI_Comm_rank(comm, &rank));
    358:   PetscCallMPI(MPI_Comm_size(comm, &size));
    359:   PetscCall(PetscOptionsHasName(((PetscObject)dm)->options, ((PetscObject)dm)->prefix, "-orientation_view", &flg));
    360:   PetscCall(PetscOptionsHasName(((PetscObject)dm)->options, ((PetscObject)dm)->prefix, "-orientation_view_synchronized", &flg2));
    361:   PetscCall(DMGetPointSF(dm, &sf));
    362:   PetscCall(PetscSFGetGraph(sf, &numRoots, &numLeaves, &lpoints, &rpoints));
    363:   /* Truth Table
    364:      mismatch    flips   do action   mismatch   flipA ^ flipB   action
    365:          F       0 flips     no         F             F           F
    366:          F       1 flip      yes        F             T           T
    367:          F       2 flips     no         T             F           T
    368:          T       0 flips     yes        T             T           F
    369:          T       1 flip      no
    370:          T       2 flips     yes
    371:   */
    372:   PetscCall(DMGetDimension(dm, &dim));
    373:   PetscCall(DMPlexGetVTKCellHeight(dm, &h));
    374:   PetscCall(DMPlexGetHeightStratum(dm, h, &cStart, &cEnd));
    375:   PetscCall(DMPlexGetHeightStratum(dm, h + 1, &fStart, &fEnd));
    376:   PetscCall(PetscBTCreate(cEnd - cStart, &seenCells));
    377:   PetscCall(PetscBTMemzero(cEnd - cStart, seenCells));
    378:   PetscCall(PetscBTCreate(cEnd - cStart, &flippedCells));
    379:   PetscCall(PetscBTMemzero(cEnd - cStart, flippedCells));
    380:   PetscCall(PetscBTCreate(fEnd - fStart, &seenFaces));
    381:   PetscCall(PetscBTMemzero(fEnd - fStart, seenFaces));
    382:   PetscCall(PetscCalloc3(fEnd - fStart, &faceFIFO, cEnd - cStart, &cellComp, fEnd - fStart, &faceComp));
    383:   /*
    384:    OLD STYLE
    385:    - Add an integer array over cells and faces (component) for connected component number
    386:    Foreach component
    387:      - Mark the initial cell as seen
    388:      - Process component as usual
    389:      - Set component for all seenCells
    390:      - Wipe seenCells and seenFaces (flippedCells can stay)
    391:    - Generate parallel adjacency for component using SF and seenFaces
    392:    - Collect numComponents adj data from each proc to 0
    393:    - Build same serial graph
    394:    - Use same solver
    395:    - Use Scatterv to send back flipped flags for each component
    396:    - Negate flippedCells by component

    398:    NEW STYLE
    399:    - Create the adj on each process
    400:    - Bootstrap to complete graph on proc 0
    401:   */
    402:   /* Loop over components */
    403:   for (cell = cStart; cell < cEnd; ++cell) cellComp[cell - cStart] = -1;
    404:   do {
    405:     /* Look for first unmarked cell */
    406:     for (cell = cStart; cell < cEnd; ++cell)
    407:       if (cellComp[cell - cStart] < 0) break;
    408:     if (cell >= cEnd) break;
    409:     /* Initialize FIFO with first cell in component */
    410:     {
    411:       const PetscInt *cone;
    412:       PetscInt        coneSize;

    414:       fTop = fBottom = 0;
    415:       PetscCall(DMPlexGetConeSize(dm, cell, &coneSize));
    416:       PetscCall(DMPlexGetCone(dm, cell, &cone));
    417:       for (c = 0; c < coneSize; ++c) {
    418:         faceFIFO[fBottom++] = cone[c];
    419:         PetscCall(PetscBTSet(seenFaces, cone[c] - fStart));
    420:       }
    421:       PetscCall(PetscBTSet(seenCells, cell - cStart));
    422:     }
    423:     /* Consider each face in FIFO */
    424:     while (fTop < fBottom) PetscCall(DMPlexCheckFace_Old_Internal(dm, faceFIFO, &fTop, &fBottom, cStart, fStart, fEnd, seenCells, flippedCells, seenFaces));
    425:     /* Set component for cells and faces */
    426:     for (cell = 0; cell < cEnd - cStart; ++cell) {
    427:       if (PetscBTLookup(seenCells, cell)) cellComp[cell] = comp;
    428:     }
    429:     for (face = 0; face < fEnd - fStart; ++face) {
    430:       if (PetscBTLookup(seenFaces, face)) faceComp[face] = comp;
    431:     }
    432:     /* Wipe seenCells and seenFaces for next component */
    433:     PetscCall(PetscBTMemzero(fEnd - fStart, seenFaces));
    434:     PetscCall(PetscBTMemzero(cEnd - cStart, seenCells));
    435:     ++comp;
    436:   } while (1);
    437:   numComponents = comp;
    438:   if (flg) {
    439:     PetscViewer v;

    441:     PetscCall(PetscViewerASCIIGetStdout(comm, &v));
    442:     PetscCall(PetscViewerASCIIPushSynchronized(v));
    443:     PetscCall(PetscViewerASCIISynchronizedPrintf(v, "[%d]BT for serial flipped cells:\n", rank));
    444:     PetscCall(PetscBTView(cEnd - cStart, flippedCells, v));
    445:     PetscCall(PetscViewerFlush(v));
    446:     PetscCall(PetscViewerASCIIPopSynchronized(v));
    447:   }
    448:   /* Now all subdomains are oriented, but we need a consistent parallel orientation */
    449:   if (numLeaves >= 0) {
    450:     PetscInt maxSupportSize, neighbor;

    452:     /* Store orientations of boundary faces*/
    453:     PetscCall(DMPlexGetMaxSizes(dm, NULL, &maxSupportSize));
    454:     PetscCall(PetscCalloc3(numRoots, &rorntComp, numRoots, &lorntComp, maxSupportSize, &locSupport));
    455:     for (face = fStart; face < fEnd; ++face) {
    456:       const PetscInt *cone, *support, *ornt;
    457:       PetscInt        coneSize, supportSize, Ns = 0, s, l;

    459:       PetscCall(DMPlexGetSupportSize(dm, face, &supportSize));
    460:       /* Ignore overlapping cells */
    461:       PetscCall(DMPlexGetSupport(dm, face, &support));
    462:       for (s = 0; s < supportSize; ++s) {
    463:         if (lpoints) PetscCall(PetscFindInt(support[s], numLeaves, lpoints, &l));
    464:         else {
    465:           if (support[s] >= 0 && support[s] < numLeaves) l = support[s];
    466:           else l = -1;
    467:         }
    468:         if (l >= 0) continue;
    469:         locSupport[Ns++] = support[s];
    470:       }
    471:       if (Ns != 1) continue;
    472:       neighbor = locSupport[0];
    473:       PetscCall(DMPlexGetCone(dm, neighbor, &cone));
    474:       PetscCall(DMPlexGetConeSize(dm, neighbor, &coneSize));
    475:       PetscCall(DMPlexGetConeOrientation(dm, neighbor, &ornt));
    476:       for (c = 0; c < coneSize; ++c)
    477:         if (cone[c] == face) break;
    478:       if (dim == 1) {
    479:         /* Use cone position instead, shifted to -1 or 1 */
    480:         if (PetscBTLookup(flippedCells, neighbor - cStart)) rorntComp[face].rank = 1 - c * 2;
    481:         else rorntComp[face].rank = c * 2 - 1;
    482:       } else {
    483:         if (PetscBTLookup(flippedCells, neighbor - cStart)) rorntComp[face].rank = ornt[c] < 0 ? -1 : 1;
    484:         else rorntComp[face].rank = ornt[c] < 0 ? 1 : -1;
    485:       }
    486:       rorntComp[face].index = faceComp[face - fStart];
    487:     }
    488:     /* Communicate boundary edge orientations */
    489:     PetscCall(PetscSFBcastBegin(sf, MPIU_SF_NODE, rorntComp, lorntComp, MPI_REPLACE));
    490:     PetscCall(PetscSFBcastEnd(sf, MPIU_SF_NODE, rorntComp, lorntComp, MPI_REPLACE));
    491:   }
    492:   /* Get process adjacency */
    493:   PetscCall(PetscMalloc2(numComponents, &numNeighbors, numComponents, &neighbors));
    494:   viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)dm));
    495:   if (flg2) PetscCall(PetscViewerASCIIPushSynchronized(viewer));
    496:   PetscCall(PetscViewerGetSubViewer(viewer, PETSC_COMM_SELF, &selfviewer));
    497:   for (comp = 0; comp < numComponents; ++comp) {
    498:     PetscInt l, n;

    500:     numNeighbors[comp] = 0;
    501:     PetscCall(PetscMalloc1(PetscMax(numLeaves, 0), &neighbors[comp]));
    502:     /* I know this is p^2 time in general, but for bounded degree its alright */
    503:     for (l = 0; l < numLeaves; ++l) {
    504:       const PetscInt face = lpoints ? lpoints[l] : l;

    506:       /* Find a representative face (edge) separating pairs of procs */
    507:       if ((face >= fStart) && (face < fEnd) && (faceComp[face - fStart] == comp) && rorntComp[face].rank) {
    508:         const PetscInt rrank = rpoints[l].rank;
    509:         const PetscInt rcomp = lorntComp[face].index;

    511:         for (n = 0; n < numNeighbors[comp]; ++n)
    512:           if ((rrank == rpoints[neighbors[comp][n]].rank) && (rcomp == lorntComp[lpoints[neighbors[comp][n]]].index)) break;
    513:         if (n >= numNeighbors[comp]) {
    514:           PetscInt supportSize;

    516:           PetscCall(DMPlexGetSupportSize(dm, face, &supportSize));
    517:           // We can have internal faces in the SF if we have cells in the SF
    518:           if (supportSize > 1) continue;
    519:           if (flg)
    520:             PetscCall(PetscViewerASCIIPrintf(selfviewer, "[%d]: component %d, Found representative leaf %" PetscInt_FMT " (face %" PetscInt_FMT ") connecting to face %" PetscInt_FMT " on (%" PetscInt_FMT ", %" PetscInt_FMT ") with orientation %" PetscInt_FMT "\n", rank, comp, l, face,
    521:                                              rpoints[l].index, rrank, rcomp, lorntComp[face].rank));
    522:           neighbors[comp][numNeighbors[comp]++] = l;
    523:         }
    524:       }
    525:     }
    526:     totNeighbors += numNeighbors[comp];
    527:   }
    528:   PetscCall(PetscViewerRestoreSubViewer(viewer, PETSC_COMM_SELF, &selfviewer));
    529:   if (flg2) PetscCall(PetscViewerASCIIPopSynchronized(viewer));
    530:   PetscCall(PetscMalloc2(totNeighbors, &nrankComp, totNeighbors, &match));
    531:   for (comp = 0, off = 0; comp < numComponents; ++comp) {
    532:     PetscInt n;

    534:     for (n = 0; n < numNeighbors[comp]; ++n, ++off) {
    535:       const PetscInt face = lpoints ? lpoints[neighbors[comp][n]] : neighbors[comp][n];
    536:       const PetscInt o    = rorntComp[face].rank * lorntComp[face].rank;

    538:       if (o < 0) match[off] = PETSC_TRUE;
    539:       else if (o > 0) match[off] = PETSC_FALSE;
    540:       else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid face %" PetscInt_FMT " (%" PetscInt_FMT ", %" PetscInt_FMT ") neighbor: %" PetscInt_FMT " comp: %d", face, rorntComp[face].rank, lorntComp[face].rank, neighbors[comp][n], comp);
    541:       nrankComp[off].rank  = rpoints[neighbors[comp][n]].rank;
    542:       nrankComp[off].index = lorntComp[lpoints ? lpoints[neighbors[comp][n]] : neighbors[comp][n]].index;
    543:     }
    544:     PetscCall(PetscFree(neighbors[comp]));
    545:   }
    546:   /* Collect the graph on 0 */
    547:   if (numLeaves >= 0) {
    548:     Mat          G;
    549:     PetscBT      seenProcs, flippedProcs;
    550:     PetscInt    *procFIFO, pTop, pBottom;
    551:     PetscInt    *N          = NULL, *Noff;
    552:     PetscSFNode *adj        = NULL;
    553:     PetscBool   *val        = NULL;
    554:     PetscMPIInt *recvcounts = NULL, *displs = NULL, *Nc, p, o, itotNeighbors;
    555:     PetscMPIInt  size = 0;

    557:     PetscCall(PetscCalloc1(numComponents, &flipped));
    558:     if (rank == 0) PetscCallMPI(MPI_Comm_size(comm, &size));
    559:     PetscCall(PetscCalloc4(size, &recvcounts, size + 1, &displs, size, &Nc, size + 1, &Noff));
    560:     PetscCallMPI(MPI_Gather(&numComponents, 1, MPI_INT, Nc, 1, MPI_INT, 0, comm));
    561:     for (p = 0; p < size; ++p) displs[p + 1] = displs[p] + Nc[p];
    562:     if (rank == 0) PetscCall(PetscMalloc1(displs[size], &N));
    563:     PetscCallMPI(MPI_Gatherv(numNeighbors, numComponents, MPIU_INT, N, Nc, displs, MPIU_INT, 0, comm));
    564:     for (p = 0, o = 0; p < size; ++p) {
    565:       recvcounts[p] = 0;
    566:       for (c = 0; c < Nc[p]; ++c, ++o) recvcounts[p] += N[o];
    567:       displs[p + 1] = displs[p] + recvcounts[p];
    568:     }
    569:     if (rank == 0) PetscCall(PetscMalloc2(displs[size], &adj, displs[size], &val));
    570:     PetscCall(PetscMPIIntCast(totNeighbors, &itotNeighbors));
    571:     PetscCallMPI(MPI_Gatherv(nrankComp, itotNeighbors, MPIU_SF_NODE, adj, recvcounts, displs, MPIU_SF_NODE, 0, comm));
    572:     PetscCallMPI(MPI_Gatherv(match, itotNeighbors, MPI_C_BOOL, val, recvcounts, displs, MPI_C_BOOL, 0, comm));
    573:     PetscCall(PetscFree2(numNeighbors, neighbors));
    574:     if (rank == 0) {
    575:       for (p = 1; p <= size; ++p) Noff[p] = Noff[p - 1] + Nc[p - 1];
    576:       if (flg) {
    577:         PetscInt n;

    579:         for (p = 0, off = 0; p < size; ++p) {
    580:           for (c = 0; c < Nc[p]; ++c) {
    581:             PetscCall(PetscPrintf(PETSC_COMM_SELF, "Proc %d Comp %" PetscInt_FMT ":\n", p, c));
    582:             for (n = 0; n < N[Noff[p] + c]; ++n, ++off) PetscCall(PetscPrintf(PETSC_COMM_SELF, "  edge (%" PetscInt_FMT ", %" PetscInt_FMT ") (%s):\n", adj[off].rank, adj[off].index, PetscBools[val[off]]));
    583:           }
    584:         }
    585:       }
    586:       /* Symmetrize the graph */
    587:       PetscCall(MatCreate(PETSC_COMM_SELF, &G));
    588:       PetscCall(MatSetSizes(G, Noff[size], Noff[size], Noff[size], Noff[size]));
    589:       PetscCall(MatSetUp(G));
    590:       for (p = 0, off = 0; p < size; ++p) {
    591:         for (c = 0; c < Nc[p]; ++c) {
    592:           const PetscInt r = Noff[p] + c;
    593:           PetscInt       n;

    595:           for (n = 0; n < N[r]; ++n, ++off) {
    596:             const PetscInt    q = Noff[adj[off].rank] + adj[off].index;
    597:             const PetscScalar o = val[off] ? 1.0 : 0.0;

    599:             PetscCall(MatSetValues(G, 1, &r, 1, &q, &o, INSERT_VALUES));
    600:             PetscCall(MatSetValues(G, 1, &q, 1, &r, &o, INSERT_VALUES));
    601:           }
    602:         }
    603:       }
    604:       PetscCall(MatAssemblyBegin(G, MAT_FINAL_ASSEMBLY));
    605:       PetscCall(MatAssemblyEnd(G, MAT_FINAL_ASSEMBLY));

    607:       PetscCall(PetscBTCreate(Noff[size], &seenProcs));
    608:       PetscCall(PetscBTMemzero(Noff[size], seenProcs));
    609:       PetscCall(PetscBTCreate(Noff[size], &flippedProcs));
    610:       PetscCall(PetscBTMemzero(Noff[size], flippedProcs));
    611:       PetscCall(PetscMalloc1(Noff[size], &procFIFO));
    612:       pTop = pBottom = 0;
    613:       for (p = 0; p < Noff[size]; ++p) {
    614:         if (PetscBTLookup(seenProcs, p)) continue;
    615:         /* Initialize FIFO with next proc */
    616:         procFIFO[pBottom++] = p;
    617:         PetscCall(PetscBTSet(seenProcs, p));
    618:         /* Consider each proc in FIFO */
    619:         while (pTop < pBottom) {
    620:           const PetscScalar *ornt;
    621:           const PetscInt    *neighbors;
    622:           PetscInt           proc, nproc, seen, flippedA, flippedB, mismatch, numNeighbors, n;

    624:           proc     = procFIFO[pTop++];
    625:           flippedA = PetscBTLookup(flippedProcs, proc) ? 1 : 0;
    626:           PetscCall(MatGetRow(G, proc, &numNeighbors, &neighbors, &ornt));
    627:           /* Loop over neighboring procs */
    628:           for (n = 0; n < numNeighbors; ++n) {
    629:             nproc    = neighbors[n];
    630:             mismatch = PetscRealPart(ornt[n]) > 0.5 ? 0 : 1;
    631:             seen     = PetscBTLookup(seenProcs, nproc);
    632:             flippedB = PetscBTLookup(flippedProcs, nproc) ? 1 : 0;

    634:             if (mismatch ^ (flippedA ^ flippedB)) {
    635:               PetscCheck(!seen, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Previously seen procs %" PetscInt_FMT " and %" PetscInt_FMT " do not match: Fault mesh is non-orientable", proc, nproc);
    636:               PetscCheck(!flippedB, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Inconsistent mesh orientation: Fault mesh is non-orientable");
    637:               PetscCall(PetscBTSet(flippedProcs, nproc));
    638:             } else PetscCheck(!mismatch || !flippedA || !flippedB, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Attempt to flip already flipped cell: Fault mesh is non-orientable");
    639:             if (!seen) {
    640:               procFIFO[pBottom++] = nproc;
    641:               PetscCall(PetscBTSet(seenProcs, nproc));
    642:             }
    643:           }
    644:         }
    645:       }
    646:       PetscCall(PetscFree(procFIFO));
    647:       PetscCall(MatDestroy(&G));
    648:       PetscCall(PetscFree2(adj, val));
    649:       PetscCall(PetscBTDestroy(&seenProcs));
    650:     }
    651:     /* Scatter flip flags */
    652:     {
    653:       PetscBool *flips = NULL;

    655:       if (rank == 0) {
    656:         PetscCall(PetscMalloc1(Noff[size], &flips));
    657:         for (p = 0; p < Noff[size]; ++p) {
    658:           flips[p] = PetscBTLookup(flippedProcs, p) ? PETSC_TRUE : PETSC_FALSE;
    659:           if (flg && flips[p]) PetscCall(PetscPrintf(comm, "Flipping Proc+Comp %d:\n", p));
    660:         }
    661:         for (p = 0; p < size; ++p) displs[p + 1] = displs[p] + Nc[p];
    662:       }
    663:       PetscCallMPI(MPI_Scatterv(flips, Nc, displs, MPI_C_BOOL, flipped, numComponents, MPI_C_BOOL, 0, comm));
    664:       PetscCall(PetscFree(flips));
    665:     }
    666:     if (rank == 0) PetscCall(PetscBTDestroy(&flippedProcs));
    667:     PetscCall(PetscFree(N));
    668:     PetscCall(PetscFree4(recvcounts, displs, Nc, Noff));
    669:     PetscCall(PetscFree2(nrankComp, match));

    671:     /* Decide whether to flip cells in each component */
    672:     for (c = 0; c < cEnd - cStart; ++c) {
    673:       if (flipped[cellComp[c]]) PetscCall(PetscBTNegate(flippedCells, c));
    674:     }
    675:     PetscCall(PetscFree(flipped));
    676:   }
    677:   if (flg) {
    678:     PetscViewer v;

    680:     PetscCall(PetscViewerASCIIGetStdout(comm, &v));
    681:     PetscCall(PetscViewerASCIIPushSynchronized(v));
    682:     PetscCall(PetscViewerASCIISynchronizedPrintf(v, "[%d]BT for parallel flipped cells:\n", rank));
    683:     PetscCall(PetscBTView(cEnd - cStart, flippedCells, v));
    684:     PetscCall(PetscViewerFlush(v));
    685:     PetscCall(PetscViewerASCIIPopSynchronized(v));
    686:   }
    687:   /* Reverse flipped cells in the mesh */
    688:   for (c = cStart; c < cEnd; ++c) {
    689:     if (PetscBTLookup(flippedCells, c - cStart)) PetscCall(DMPlexOrientPoint(dm, c, -1));
    690:   }
    691:   PetscCall(PetscBTDestroy(&seenCells));
    692:   PetscCall(PetscBTDestroy(&flippedCells));
    693:   PetscCall(PetscBTDestroy(&seenFaces));
    694:   PetscCall(PetscFree2(numNeighbors, neighbors));
    695:   PetscCall(PetscFree3(rorntComp, lorntComp, locSupport));
    696:   PetscCall(PetscFree3(faceFIFO, cellComp, faceComp));
    697:   PetscFunctionReturn(PETSC_SUCCESS);
    698: #endif
    699: }

    701: static PetscErrorCode CreateCellAndFaceIS_Private(DM dm, DMLabel label, IS *cellIS, IS *faceIS)
    702: {
    703:   IS              valueIS;
    704:   const PetscInt *values;
    705:   PetscInt        Nv, depth = 0;

    707:   PetscFunctionBegin;
    708:   PetscCall(DMLabelGetValueIS(label, &valueIS));
    709:   PetscCall(ISGetLocalSize(valueIS, &Nv));
    710:   PetscCall(ISGetIndices(valueIS, &values));
    711:   for (PetscInt v = 0; v < Nv; ++v) {
    712:     const PetscInt val = values[v] < 0 || values[v] >= 100 ? 0 : values[v];
    713:     PetscInt       n;

    715:     PetscCall(DMLabelGetStratumSize(label, val, &n));
    716:     if (!n) continue;
    717:     depth = PetscMax(val, depth);
    718:   }
    719:   PetscCall(ISDestroy(&valueIS));
    720:   PetscCheck(depth >= 1 || !Nv, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Depth for interface must be at least 1, not %" PetscInt_FMT, depth);
    721:   PetscCall(DMLabelGetStratumIS(label, depth, cellIS));
    722:   PetscCall(DMLabelGetStratumIS(label, depth - 1, faceIS));
    723:   if (!*cellIS) PetscCall(ISCreateStride(PETSC_COMM_SELF, 0, 0, 1, cellIS));
    724:   if (!*faceIS) PetscCall(ISCreateStride(PETSC_COMM_SELF, 0, 0, 1, faceIS));
    725:   PetscFunctionReturn(PETSC_SUCCESS);
    726: }

    728: PetscErrorCode DMPlexOrientLabel(DM dm, DMLabel label)
    729: {
    730:   IS cellIS, faceIS;

    732:   PetscFunctionBegin;
    733:   PetscCall(CreateCellAndFaceIS_Private(dm, label, &cellIS, &faceIS));
    734:   PetscCall(DMPlexOrientCells_Internal(dm, cellIS, faceIS));
    735:   PetscCall(ISDestroy(&cellIS));
    736:   PetscCall(ISDestroy(&faceIS));
    737:   PetscFunctionReturn(PETSC_SUCCESS);
    738: }

    740: PetscErrorCode DMPlexOrientCells_Internal(DM dm, IS cellIS, IS faceIS)
    741: {
    742:   MPI_Comm           comm;
    743:   PetscSF            sf;
    744:   const PetscInt    *lpoints;
    745:   const PetscSFNode *rpoints;
    746:   PetscSFNode       *rorntComp = NULL, *lorntComp = NULL;
    747:   PetscInt          *numNeighbors, **neighbors, *locSupp = NULL;
    748:   PetscSFNode       *nrankComp;
    749:   PetscBool         *match, *flipped;
    750:   PetscBT            flippedCells;
    751:   PetscInt          *cellComp, *faceComp;
    752:   const PetscInt    *cells = NULL, *faces = NULL;
    753:   PetscInt           cStart = 0, cEnd = 0, fStart = 0, fEnd = 0;
    754:   PetscInt           numLeaves, numRoots, dim, Ncomp, totNeighbors = 0;
    755:   PetscMPIInt        rank, size;
    756:   PetscBool          view, viewSync;
    757:   PetscViewer        viewer = NULL, selfviewer = NULL;

    759:   PetscFunctionBegin;
    760:   PetscCall(PetscObjectGetComm((PetscObject)dm, &comm));
    761:   PetscCallMPI(MPI_Comm_rank(comm, &rank));
    762:   PetscCallMPI(MPI_Comm_size(comm, &size));
    763:   PetscCall(PetscOptionsHasName(((PetscObject)dm)->options, ((PetscObject)dm)->prefix, "-orientation_view", &view));
    764:   PetscCall(PetscOptionsHasName(((PetscObject)dm)->options, ((PetscObject)dm)->prefix, "-orientation_view_synchronized", &viewSync));

    766:   if (cellIS) PetscCall(ISGetPointRange(cellIS, &cStart, &cEnd, &cells));
    767:   if (faceIS) PetscCall(ISGetPointRange(faceIS, &fStart, &fEnd, &faces));
    768:   PetscCall(DMGetPointSF(dm, &sf));
    769:   PetscCall(PetscSFGetGraph(sf, &numRoots, &numLeaves, &lpoints, &rpoints));
    770:   /* Truth Table
    771:      mismatch    flips   do action   mismatch   flipA ^ flipB   action
    772:          F       0 flips     no         F             F           F
    773:          F       1 flip      yes        F             T           T
    774:          F       2 flips     no         T             F           T
    775:          T       0 flips     yes        T             T           F
    776:          T       1 flip      no
    777:          T       2 flips     yes
    778:   */
    779:   PetscCall(DMGetDimension(dm, &dim));
    780:   PetscCall(PetscBTCreate(cEnd - cStart, &flippedCells));
    781:   PetscCall(PetscBTMemzero(cEnd - cStart, flippedCells));
    782:   PetscCall(PetscCalloc2(cEnd - cStart, &cellComp, fEnd - fStart, &faceComp));
    783:   /*
    784:    OLD STYLE
    785:    - Add an integer array over cells and faces (component) for connected component number
    786:    Foreach component
    787:      - Mark the initial cell as seen
    788:      - Process component as usual
    789:      - Set component for all seenCells
    790:      - Wipe seenCells and seenFaces (flippedCells can stay)
    791:    - Generate parallel adjacency for component using SF and seenFaces
    792:    - Collect Ncomp adj data from each proc to 0
    793:    - Build same serial graph
    794:    - Use same solver
    795:    - Use Scatterv to send back flipped flags for each component
    796:    - Negate flippedCells by component

    798:    NEW STYLE
    799:    - Create the adj on each process
    800:    - Bootstrap to complete graph on proc 0
    801:   */
    802:   PetscCall(DMPlexOrient_Serial(dm, cellIS, faceIS, &Ncomp, cellComp, faceComp, flippedCells));
    803:   if (view) {
    804:     PetscViewer v;
    805:     PetscInt    cdepth = -1;

    807:     PetscCall(PetscViewerASCIIGetStdout(comm, &v));
    808:     PetscCall(PetscViewerASCIIPushSynchronized(v));
    809:     if (cEnd > cStart) PetscCall(DMPlexGetPointDepth(dm, cells ? cells[cStart] : cStart, &cdepth));
    810:     PetscCall(PetscViewerASCIISynchronizedPrintf(v, "[%d]New Orientation %" PetscInt_FMT " cells (depth %" PetscInt_FMT ") and %" PetscInt_FMT " faces\n", rank, cEnd - cStart, cdepth, fEnd - fStart));
    811:     PetscCall(PetscViewerASCIISynchronizedPrintf(v, "[%d]BT for serial flipped cells:\n", rank));
    812:     PetscCall(PetscBTView(cEnd - cStart, flippedCells, v));
    813:     PetscCall(PetscViewerFlush(v));
    814:     PetscCall(PetscViewerASCIIPopSynchronized(v));
    815:   }
    816:   /* Now all subdomains are oriented, but we need a consistent parallel orientation */
    817:   // TODO: This all has to be rewritten to filter cones/supports to the ISes
    818:   if (numLeaves >= 0) {
    819:     PetscInt maxSuppSize, neighbor;

    821:     // Store orientations of boundary faces
    822:     PetscCall(DMPlexGetMaxSizes(dm, NULL, &maxSuppSize));
    823:     PetscCall(PetscCalloc3(numRoots, &rorntComp, numRoots, &lorntComp, maxSuppSize, &locSupp));
    824:     for (PetscInt f = fStart; f < fEnd; ++f) {
    825:       const PetscInt  face = faces ? faces[f] : f;
    826:       const PetscInt *cone, *supp, *ornt;
    827:       PetscInt        coneSize, suppSize, nind, c, Ns = 0;

    829:       PetscCall(DMPlexGetSupportSize(dm, face, &suppSize));
    830:       PetscCall(DMPlexGetSupport(dm, face, &supp));
    831:       for (PetscInt s = 0; s < suppSize; ++s) {
    832:         PetscInt ind, l;

    834:         // Filter support
    835:         ind = GetPointIndex(supp[s], cStart, cEnd, cells);
    836:         if (ind < 0) continue;
    837:         // Ignore overlapping cells
    838:         PetscCall(PetscFindInt(supp[s], numLeaves, lpoints, &l));
    839:         if (l >= 0) continue;
    840:         locSupp[Ns++] = supp[s];
    841:       }
    842:       PetscCheck(Ns < maxSuppSize, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Index %" PetscInt_FMT " exceeds array size %" PetscInt_FMT, Ns, maxSuppSize);
    843:       if (Ns != 1) continue;
    844:       neighbor = locSupp[0];
    845:       nind     = GetPointIndex(neighbor, cStart, cEnd, cells);
    846:       PetscCall(DMPlexGetCone(dm, neighbor, &cone));
    847:       PetscCall(DMPlexGetConeSize(dm, neighbor, &coneSize));
    848:       PetscCall(DMPlexGetConeOrientation(dm, neighbor, &ornt));
    849:       for (c = 0; c < coneSize; ++c)
    850:         if (cone[c] == face) break;
    851:       if (dim == 1) {
    852:         /* Use cone position instead, shifted to -1 or 1 */
    853:         if (PetscBTLookup(flippedCells, nind)) rorntComp[face].rank = 1 - c * 2;
    854:         else rorntComp[face].rank = c * 2 - 1;
    855:       } else {
    856:         if (PetscBTLookup(flippedCells, nind)) rorntComp[face].rank = ornt[c] < 0 ? -1 : 1;
    857:         else rorntComp[face].rank = ornt[c] < 0 ? 1 : -1;
    858:       }
    859:       rorntComp[face].index = faceComp[GetPointIndex(face, fStart, fEnd, faces)];
    860:     }
    861:     // Communicate boundary edge orientations
    862:     PetscCall(PetscSFBcastBegin(sf, MPIU_SF_NODE, rorntComp, lorntComp, MPI_REPLACE));
    863:     PetscCall(PetscSFBcastEnd(sf, MPIU_SF_NODE, rorntComp, lorntComp, MPI_REPLACE));
    864:   }
    865:   /* Get process adjacency */
    866:   PetscCall(PetscMalloc2(Ncomp, &numNeighbors, Ncomp, &neighbors));
    867:   viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)dm));
    868:   if (viewSync) PetscCall(PetscViewerASCIIPushSynchronized(viewer));
    869:   PetscCall(PetscViewerGetSubViewer(viewer, PETSC_COMM_SELF, &selfviewer));
    870:   for (PetscInt comp = 0; comp < Ncomp; ++comp) {
    871:     PetscInt n;

    873:     numNeighbors[comp] = 0;
    874:     PetscCall(PetscMalloc1(PetscMax(numLeaves, 0), &neighbors[comp]));
    875:     /* I know this is p^2 time in general, but for bounded degree its alright */
    876:     for (PetscInt l = 0; l < numLeaves; ++l) {
    877:       const PetscInt face = lpoints[l];
    878:       PetscInt       find;

    880:       /* Find a representative face (edge) separating pairs of procs */
    881:       find = GetPointIndex(face, fStart, fEnd, faces);
    882:       if ((find >= 0) && (faceComp[find] == comp) && rorntComp[face].rank) {
    883:         const PetscInt rrank = rpoints[l].rank;
    884:         const PetscInt rcomp = lorntComp[face].index;

    886:         for (n = 0; n < numNeighbors[comp]; ++n)
    887:           if ((rrank == rpoints[neighbors[comp][n]].rank) && (rcomp == lorntComp[lpoints[neighbors[comp][n]]].index)) break;
    888:         if (n >= numNeighbors[comp]) {
    889:           const PetscInt *supp;
    890:           PetscInt        suppSize, Ns = 0;

    892:           PetscCall(DMPlexGetSupport(dm, face, &supp));
    893:           PetscCall(DMPlexGetSupportSize(dm, face, &suppSize));
    894:           for (PetscInt s = 0; s < suppSize; ++s) {
    895:             // Filter support
    896:             if (GetPointIndex(supp[s], cStart, cEnd, cells) >= 0) ++Ns;
    897:           }
    898:           PetscCheck(Ns == 1, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Boundary face %" PetscInt_FMT " should see one cell, not %" PetscInt_FMT, face, Ns);
    899:           if (view)
    900:             PetscCall(PetscViewerASCIIPrintf(selfviewer, "[%d]: component %" PetscInt_FMT ", Found representative leaf %" PetscInt_FMT " (face %" PetscInt_FMT ") connecting to face %" PetscInt_FMT " on (%" PetscInt_FMT ", %" PetscInt_FMT ") with orientation %" PetscInt_FMT "\n", rank, comp, l, face,
    901:                                              rpoints[l].index, rrank, rcomp, lorntComp[face].rank));
    902:           neighbors[comp][numNeighbors[comp]++] = l;
    903:         }
    904:       }
    905:     }
    906:     totNeighbors += numNeighbors[comp];
    907:   }
    908:   PetscCall(PetscViewerRestoreSubViewer(viewer, PETSC_COMM_SELF, &selfviewer));
    909:   if (viewSync) PetscCall(PetscViewerASCIIPopSynchronized(viewer));
    910:   PetscCall(PetscMalloc2(totNeighbors, &nrankComp, totNeighbors, &match));
    911:   for (PetscInt comp = 0, off = 0; comp < Ncomp; ++comp) {
    912:     for (PetscInt n = 0; n < numNeighbors[comp]; ++n, ++off) {
    913:       const PetscInt face = lpoints[neighbors[comp][n]];
    914:       const PetscInt o    = rorntComp[face].rank * lorntComp[face].rank;

    916:       if (o < 0) match[off] = PETSC_TRUE;
    917:       else if (o > 0) match[off] = PETSC_FALSE;
    918:       else
    919:         SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid face %" PetscInt_FMT " (%" PetscInt_FMT ", %" PetscInt_FMT ") neighbor: %" PetscInt_FMT " comp: %" PetscInt_FMT, face, rorntComp[face].rank, lorntComp[face].rank, neighbors[comp][n], comp);
    920:       nrankComp[off].rank  = rpoints[neighbors[comp][n]].rank;
    921:       nrankComp[off].index = lorntComp[lpoints[neighbors[comp][n]]].index;
    922:     }
    923:     PetscCall(PetscFree(neighbors[comp]));
    924:   }
    925:   /* Collect the graph on 0 */
    926:   if (numLeaves >= 0) {
    927:     Mat          G;
    928:     PetscBT      seenProcs, flippedProcs;
    929:     PetscInt    *procFIFO, pTop, pBottom;
    930:     PetscInt    *N          = NULL, *Noff;
    931:     PetscSFNode *adj        = NULL;
    932:     PetscBool   *val        = NULL;
    933:     PetscMPIInt *recvcounts = NULL, *displs = NULL, *Nc;
    934:     PetscMPIInt  size = 0, iNcomp, itotNeighbors;

    936:     PetscCall(PetscCalloc1(Ncomp, &flipped));
    937:     if (rank == 0) PetscCallMPI(MPI_Comm_size(comm, &size));
    938:     PetscCall(PetscCalloc4(size, &recvcounts, size + 1, &displs, size, &Nc, size + 1, &Noff));
    939:     PetscCallMPI(MPI_Gather(&Ncomp, 1, MPI_INT, Nc, 1, MPI_INT, 0, comm));
    940:     for (PetscInt p = 0; p < size; ++p) displs[p + 1] = displs[p] + Nc[p];
    941:     if (rank == 0) PetscCall(PetscMalloc1(displs[size], &N));
    942:     PetscCall(PetscMPIIntCast(Ncomp, &iNcomp));
    943:     PetscCallMPI(MPI_Gatherv(numNeighbors, iNcomp, MPIU_INT, N, Nc, displs, MPIU_INT, 0, comm));
    944:     for (PetscInt p = 0, o = 0; p < size; ++p) {
    945:       recvcounts[p] = 0;
    946:       for (PetscInt c = 0; c < Nc[p]; ++c, ++o) recvcounts[p] += N[o];
    947:       displs[p + 1] = displs[p] + recvcounts[p];
    948:     }
    949:     if (rank == 0) PetscCall(PetscMalloc2(displs[size], &adj, displs[size], &val));
    950:     PetscCall(PetscMPIIntCast(totNeighbors, &itotNeighbors));
    951:     PetscCallMPI(MPI_Gatherv(nrankComp, itotNeighbors, MPIU_SF_NODE, adj, recvcounts, displs, MPIU_SF_NODE, 0, comm));
    952:     PetscCallMPI(MPI_Gatherv(match, itotNeighbors, MPI_C_BOOL, val, recvcounts, displs, MPI_C_BOOL, 0, comm));
    953:     PetscCall(PetscFree2(numNeighbors, neighbors));
    954:     if (rank == 0) {
    955:       for (PetscInt p = 1; p <= size; ++p) Noff[p] = Noff[p - 1] + Nc[p - 1];
    956:       if (view) {
    957:         for (PetscInt p = 0, off = 0; p < size; ++p) {
    958:           for (PetscInt c = 0; c < Nc[p]; ++c) {
    959:             PetscCall(PetscPrintf(PETSC_COMM_SELF, "Proc %" PetscInt_FMT " Comp %" PetscInt_FMT ":\n", p, c));
    960:             for (PetscInt n = 0; n < N[Noff[p] + c]; ++n, ++off) PetscCall(PetscPrintf(PETSC_COMM_SELF, "  edge (%" PetscInt_FMT ", %" PetscInt_FMT ") (%s):\n", adj[off].rank, adj[off].index, PetscBools[val[off]]));
    961:           }
    962:         }
    963:       }
    964:       /* Symmetrize the graph */
    965:       PetscCall(MatCreate(PETSC_COMM_SELF, &G));
    966:       PetscCall(MatSetSizes(G, Noff[size], Noff[size], Noff[size], Noff[size]));
    967:       PetscCall(MatSetUp(G));
    968:       for (PetscInt p = 0, off = 0; p < size; ++p) {
    969:         for (PetscInt c = 0; c < Nc[p]; ++c) {
    970:           const PetscInt r = Noff[p] + c;

    972:           for (PetscInt n = 0; n < N[r]; ++n, ++off) {
    973:             const PetscInt    q = Noff[adj[off].rank] + adj[off].index;
    974:             const PetscScalar o = val[off] ? 1.0 : 0.0;

    976:             PetscCall(MatSetValues(G, 1, &r, 1, &q, &o, INSERT_VALUES));
    977:             PetscCall(MatSetValues(G, 1, &q, 1, &r, &o, INSERT_VALUES));
    978:           }
    979:         }
    980:       }
    981:       PetscCall(MatAssemblyBegin(G, MAT_FINAL_ASSEMBLY));
    982:       PetscCall(MatAssemblyEnd(G, MAT_FINAL_ASSEMBLY));

    984:       PetscCall(PetscBTCreate(Noff[size], &seenProcs));
    985:       PetscCall(PetscBTMemzero(Noff[size], seenProcs));
    986:       PetscCall(PetscBTCreate(Noff[size], &flippedProcs));
    987:       PetscCall(PetscBTMemzero(Noff[size], flippedProcs));
    988:       PetscCall(PetscMalloc1(Noff[size], &procFIFO));
    989:       pTop = pBottom = 0;
    990:       for (PetscInt p = 0; p < Noff[size]; ++p) {
    991:         if (PetscBTLookup(seenProcs, p)) continue;
    992:         /* Initialize FIFO with next proc */
    993:         procFIFO[pBottom++] = p;
    994:         PetscCall(PetscBTSet(seenProcs, p));
    995:         /* Consider each proc in FIFO */
    996:         while (pTop < pBottom) {
    997:           const PetscScalar *ornt;
    998:           const PetscInt    *neighbors;
    999:           PetscInt           proc, nproc, seen, flippedA, flippedB, mismatch, numNeighbors;

    1001:           proc     = procFIFO[pTop++];
    1002:           flippedA = PetscBTLookup(flippedProcs, proc) ? 1 : 0;
    1003:           PetscCall(MatGetRow(G, proc, &numNeighbors, &neighbors, &ornt));
    1004:           /* Loop over neighboring procs */
    1005:           for (PetscInt n = 0; n < numNeighbors; ++n) {
    1006:             nproc    = neighbors[n];
    1007:             mismatch = PetscRealPart(ornt[n]) > 0.5 ? 0 : 1;
    1008:             seen     = PetscBTLookup(seenProcs, nproc);
    1009:             flippedB = PetscBTLookup(flippedProcs, nproc) ? 1 : 0;

    1011:             if (mismatch ^ (flippedA ^ flippedB)) {
    1012:               PetscCheck(!seen, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Previously seen procs %" PetscInt_FMT " and %" PetscInt_FMT " do not match: Fault mesh is non-orientable", proc, nproc);
    1013:               PetscCheck(!flippedB, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Inconsistent mesh orientation: Fault mesh is non-orientable");
    1014:               PetscCall(PetscBTSet(flippedProcs, nproc));
    1015:             } else PetscCheck(!mismatch || !flippedA || !flippedB, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Attempt to flip already flipped cell: Fault mesh is non-orientable");
    1016:             if (!seen) {
    1017:               procFIFO[pBottom++] = nproc;
    1018:               PetscCall(PetscBTSet(seenProcs, nproc));
    1019:             }
    1020:           }
    1021:         }
    1022:       }
    1023:       PetscCall(PetscFree(procFIFO));
    1024:       PetscCall(MatDestroy(&G));
    1025:       PetscCall(PetscFree2(adj, val));
    1026:       PetscCall(PetscBTDestroy(&seenProcs));
    1027:     }
    1028:     /* Scatter flip flags */
    1029:     {
    1030:       PetscBool *flips = NULL;

    1032:       if (rank == 0) {
    1033:         PetscCall(PetscMalloc1(Noff[size], &flips));
    1034:         for (PetscInt p = 0; p < Noff[size]; ++p) {
    1035:           flips[p] = PetscBTLookup(flippedProcs, p) ? PETSC_TRUE : PETSC_FALSE;
    1036:           if (view && flips[p]) PetscCall(PetscPrintf(comm, "Flipping Proc+Comp %" PetscInt_FMT ":\n", p));
    1037:         }
    1038:         for (PetscInt p = 0; p < size; ++p) displs[p + 1] = displs[p] + Nc[p];
    1039:       }
    1040:       PetscCall(PetscMPIIntCast(Ncomp, &iNcomp));
    1041:       PetscCallMPI(MPI_Scatterv(flips, Nc, displs, MPI_C_BOOL, flipped, iNcomp, MPI_C_BOOL, 0, comm));
    1042:       PetscCall(PetscFree(flips));
    1043:     }
    1044:     if (rank == 0) PetscCall(PetscBTDestroy(&flippedProcs));
    1045:     PetscCall(PetscFree(N));
    1046:     PetscCall(PetscFree4(recvcounts, displs, Nc, Noff));
    1047:     PetscCall(PetscFree2(nrankComp, match));

    1049:     /* Decide whether to flip cells in each component */
    1050:     for (PetscInt c = 0; c < cEnd - cStart; ++c) {
    1051:       if (flipped[cellComp[c]]) PetscCall(PetscBTNegate(flippedCells, c));
    1052:     }
    1053:     PetscCall(PetscFree(flipped));
    1054:   }
    1055:   if (view) {
    1056:     PetscViewer v;

    1058:     PetscCall(PetscViewerASCIIGetStdout(comm, &v));
    1059:     PetscCall(PetscViewerASCIIPushSynchronized(v));
    1060:     PetscCall(PetscViewerASCIISynchronizedPrintf(v, "[%d]BT for parallel flipped cells:\n", rank));
    1061:     PetscCall(PetscBTView(cEnd - cStart, flippedCells, v));
    1062:     PetscCall(PetscViewerFlush(v));
    1063:     PetscCall(PetscViewerASCIIPopSynchronized(v));
    1064:   }
    1065:   // Reverse flipped cells in the mesh
    1066:   PetscViewer     v;
    1067:   const PetscInt *degree = NULL;
    1068:   PetscInt       *points;
    1069:   PetscInt        pStart, pEnd;

    1071:   if (view) {
    1072:     PetscCall(PetscViewerASCIIGetStdout(comm, &v));
    1073:     PetscCall(PetscViewerASCIIPushSynchronized(v));
    1074:   }
    1075:   PetscCall(DMPlexGetChart(dm, &pStart, &pEnd));
    1076:   if (numRoots >= 0) {
    1077:     PetscCall(PetscSFComputeDegreeBegin(sf, &degree));
    1078:     PetscCall(PetscSFComputeDegreeEnd(sf, &degree));
    1079:   }
    1080:   PetscCall(PetscCalloc1(pEnd - pStart, &points));
    1081:   for (PetscInt c = cStart; c < cEnd; ++c) {
    1082:     if (PetscBTLookup(flippedCells, c - cStart)) {
    1083:       const PetscInt cell = cells ? cells[c] : c;

    1085:       PetscCall(DMPlexOrientPoint(dm, cell, -1));
    1086:       if (degree && degree[cell]) points[cell] = 1;
    1087:       if (view) PetscCall(PetscViewerASCIISynchronizedPrintf(v, "[%d]Flipping cell %" PetscInt_FMT "%s\n", rank, cell, degree && degree[cell] ? " and sending to overlap" : ""));
    1088:     }
    1089:   }
    1090:   // Must propagate flips for cells in the overlap
    1091:   if (numRoots >= 0) {
    1092:     PetscCall(PetscSFBcastBegin(sf, MPIU_INT, points, points, MPI_SUM));
    1093:     PetscCall(PetscSFBcastEnd(sf, MPIU_INT, points, points, MPI_SUM));
    1094:   }
    1095:   for (PetscInt c = cStart; c < cEnd; ++c) {
    1096:     const PetscInt cell = cells ? cells[c] : c;

    1098:     if (points[cell] && !PetscBTLookup(flippedCells, c - cStart)) {
    1099:       PetscCall(DMPlexOrientPoint(dm, cell, -1));
    1100:       if (view) PetscCall(PetscViewerASCIISynchronizedPrintf(v, "[%d]Flipping cell %" PetscInt_FMT " through overlap\n", rank, cell));
    1101:     }
    1102:   }
    1103:   if (view) {
    1104:     PetscCall(PetscViewerFlush(v));
    1105:     PetscCall(PetscViewerASCIIPopSynchronized(v));
    1106:   }
    1107:   PetscCall(PetscFree(points));
    1108:   PetscCall(PetscBTDestroy(&flippedCells));
    1109:   PetscCall(PetscFree2(numNeighbors, neighbors));
    1110:   PetscCall(PetscFree3(rorntComp, lorntComp, locSupp));
    1111:   PetscCall(PetscFree2(cellComp, faceComp));
    1112:   PetscFunctionReturn(PETSC_SUCCESS);
    1113: }