Actual source code: sfutils.c

  1: #include <petsc/private/sfimpl.h>
  2: #include <petsc/private/sectionimpl.h>

  4: /*@
  5:   PetscSFSetGraphLayout - Set a `PetscSF` communication pattern using global indices and a `PetscLayout`

  7:   Collective

  9:   Input Parameters:
 10: + sf        - star forest
 11: . layout    - `PetscLayout` defining the global space for roots, i.e. which roots are owned by each MPI process
 12: . nleaves   - number of leaf vertices on the current process, each of these references a root on any MPI process
 13: . ilocal    - locations of leaves in leafdata buffers, pass `NULL` for contiguous storage, that is the locations are in [0,`nleaves`)
 14: . localmode - copy mode for `ilocal`
 15: - gremote   - root vertices in global numbering corresponding to the leaves

 17:   Level: intermediate

 19:   Note:
 20:   Global indices must lie in [0, N) where N is the global size of `layout`.
 21:   Leaf indices in `ilocal` get sorted; this means the user-provided array gets sorted if localmode is `PETSC_OWN_POINTER`.

 23:   Developer Notes:
 24:   Local indices which are the identity permutation in the range [0,`nleaves`) are discarded as they
 25:   encode contiguous storage. In such case, if localmode is `PETSC_OWN_POINTER`, the memory is deallocated as it is not
 26:   needed

 28: .seealso: [](sec_petscsf), `PetscSF`, `PetscSFGetGraphLayout()`, `PetscSFCreate()`, `PetscSFView()`, `PetscSFSetGraph()`, `PetscSFGetGraph()`
 29: @*/
 30: PetscErrorCode PetscSFSetGraphLayout(PetscSF sf, PetscLayout layout, PetscInt nleaves, PetscInt ilocal[], PetscCopyMode localmode, const PetscInt gremote[])
 31: {
 32:   const PetscInt *range;
 33:   PetscInt        i, nroots, ls = -1, ln = -1;
 34:   PetscMPIInt     lr = -1;
 35:   PetscSFNode    *remote;

 37:   PetscFunctionBegin;
 39:   PetscAssertPointer(layout, 2);
 40:   if (nleaves > 0 && ilocal) PetscAssertPointer(ilocal, 4);
 41:   if (nleaves > 0) PetscAssertPointer(gremote, 6);
 42:   PetscCall(PetscLayoutSetUp(layout));
 43:   PetscCall(PetscLayoutGetLocalSize(layout, &nroots));
 44:   PetscCall(PetscLayoutGetRanges(layout, &range));
 45:   PetscCall(PetscMalloc1(nleaves, &remote));
 46:   if (nleaves) ls = gremote[0] + 1;
 47:   for (i = 0; i < nleaves; i++) {
 48:     const PetscInt idx = gremote[i] - ls;
 49:     if (idx < 0 || idx >= ln) { /* short-circuit the search */
 50:       PetscCall(PetscLayoutFindOwnerIndex(layout, gremote[i], &lr, &remote[i].index));
 51:       remote[i].rank = lr;
 52:       ls             = range[lr];
 53:       ln             = range[lr + 1] - ls;
 54:     } else {
 55:       remote[i].rank  = lr;
 56:       remote[i].index = idx;
 57:     }
 58:   }
 59:   PetscCall(PetscSFSetGraph(sf, nroots, nleaves, ilocal, localmode, remote, PETSC_OWN_POINTER));
 60:   PetscFunctionReturn(PETSC_SUCCESS);
 61: }

 63: /*@C
 64:   PetscSFGetGraphLayout - Get the global indices and `PetscLayout` that describe a `PetscSF`

 66:   Collective

 68:   Input Parameter:
 69: . sf - star forest

 71:   Output Parameters:
 72: + layout  - `PetscLayout` defining the global space for roots
 73: . nleaves - number of leaf vertices on the current process, each of these references a root on any process
 74: . ilocal  - locations of leaves in leafdata buffers, or `NULL` for contiguous storage
 75: - gremote - root vertices in global numbering corresponding to the leaves

 77:   Level: intermediate

 79:   Notes:
 80:   The outputs are such that passing them as inputs to `PetscSFSetGraphLayout()` would lead to the same star forest.
 81:   The outputs `layout` and `gremote` are freshly created each time this function is called,
 82:   so they need to be freed (with `PetscLayoutDestroy()` and `PetscFree()`) by the user.

 84: .seealso: [](sec_petscsf), `PetscSF`, `PetscSFSetGraphLayout()`, `PetscSFCreate()`, `PetscSFView()`, `PetscSFSetGraph()`, `PetscSFGetGraph()`
 85: @*/
 86: PetscErrorCode PetscSFGetGraphLayout(PetscSF sf, PetscLayout *layout, PetscInt *nleaves, const PetscInt *ilocal[], PetscInt *gremote[])
 87: {
 88:   PetscInt           nr, nl;
 89:   const PetscSFNode *ir;
 90:   PetscLayout        lt;

 92:   PetscFunctionBegin;
 94:   if (layout) PetscAssertPointer(layout, 2);
 95:   if (nleaves) PetscAssertPointer(nleaves, 3);
 96:   if (ilocal) PetscAssertPointer(ilocal, 4);
 97:   if (gremote) PetscAssertPointer(gremote, 5);
 98:   PetscCall(PetscSFGetGraph(sf, &nr, &nl, ilocal, &ir));
 99:   PetscCall(PetscLayoutCreateFromSizes(PetscObjectComm((PetscObject)sf), nr, PETSC_DECIDE, 1, &lt));
100:   if (gremote) {
101:     PetscInt        i;
102:     const PetscInt *range;
103:     PetscInt       *gr;

105:     PetscCall(PetscLayoutGetRanges(lt, &range));
106:     PetscCall(PetscMalloc1(nl, &gr));
107:     for (i = 0; i < nl; i++) gr[i] = range[ir[i].rank] + ir[i].index;
108:     *gremote = gr;
109:   }
110:   if (nleaves) *nleaves = nl;
111:   if (layout) *layout = lt;
112:   else PetscCall(PetscLayoutDestroy(&lt));
113:   PetscFunctionReturn(PETSC_SUCCESS);
114: }

116: /*@
117:   PetscSFSetGraphSection - Sets the `PetscSF` graph (communication pattern) encoding the parallel dof overlap based upon the `PetscSection` describing the data layout.

119:   Input Parameters:
120: + sf            - The `PetscSF`
121: . localSection  - `PetscSection` describing the local data layout
122: - globalSection - `PetscSection` describing the global data layout

124:   Level: developer

126: .seealso: [](sec_petscsf), `PetscSF`, `PetscSFSetGraph()`, `PetscSFSetGraphLayout()`
127: @*/
128: PetscErrorCode PetscSFSetGraphSection(PetscSF sf, PetscSection localSection, PetscSection globalSection)
129: {
130:   MPI_Comm        comm;
131:   PetscLayout     layout;
132:   const PetscInt *ranges;
133:   PetscInt       *local;
134:   PetscSFNode    *remote;
135:   PetscInt        pStart, pEnd, p, nroots, nleaves = 0, l;
136:   PetscMPIInt     size, rank;

138:   PetscFunctionBegin;

143:   PetscCall(PetscObjectGetComm((PetscObject)sf, &comm));
144:   PetscCallMPI(MPI_Comm_size(comm, &size));
145:   PetscCallMPI(MPI_Comm_rank(comm, &rank));
146:   PetscCall(PetscSectionGetChart(globalSection, &pStart, &pEnd));
147:   PetscCall(PetscSectionGetConstrainedStorageSize(globalSection, &nroots));
148:   PetscCall(PetscLayoutCreate(comm, &layout));
149:   PetscCall(PetscLayoutSetBlockSize(layout, 1));
150:   PetscCall(PetscLayoutSetLocalSize(layout, nroots));
151:   PetscCall(PetscLayoutSetUp(layout));
152:   PetscCall(PetscLayoutGetRanges(layout, &ranges));
153:   for (p = pStart; p < pEnd; ++p) {
154:     PetscInt gdof, gcdof;

156:     PetscCall(PetscSectionGetDof(globalSection, p, &gdof));
157:     PetscCall(PetscSectionGetConstraintDof(globalSection, p, &gcdof));
158:     PetscCheck(gcdof <= (gdof < 0 ? -(gdof + 1) : gdof), PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Point %" PetscInt_FMT " has %" PetscInt_FMT " constraints > %" PetscInt_FMT " dof", p, gcdof, gdof < 0 ? -(gdof + 1) : gdof);
159:     nleaves += gdof < 0 ? -(gdof + 1) - gcdof : gdof - gcdof;
160:   }
161:   PetscCall(PetscMalloc1(nleaves, &local));
162:   PetscCall(PetscMalloc1(nleaves, &remote));
163:   for (p = pStart, l = 0; p < pEnd; ++p) {
164:     const PetscInt *cind;
165:     PetscInt        dof, cdof, off, gdof, gcdof, goff, gsize, d, c;

167:     PetscCall(PetscSectionGetDof(localSection, p, &dof));
168:     PetscCall(PetscSectionGetOffset(localSection, p, &off));
169:     PetscCall(PetscSectionGetConstraintDof(localSection, p, &cdof));
170:     PetscCall(PetscSectionGetConstraintIndices(localSection, p, &cind));
171:     PetscCall(PetscSectionGetDof(globalSection, p, &gdof));
172:     PetscCall(PetscSectionGetConstraintDof(globalSection, p, &gcdof));
173:     PetscCall(PetscSectionGetOffset(globalSection, p, &goff));
174:     if (!gdof) continue; /* Censored point */
175:     gsize = gdof < 0 ? -(gdof + 1) - gcdof : gdof - gcdof;
176:     if (gsize != dof - cdof) {
177:       PetscCheck(gsize == dof, comm, PETSC_ERR_ARG_WRONG, "Global dof %" PetscInt_FMT " for point %" PetscInt_FMT " is neither the constrained size %" PetscInt_FMT ", nor the unconstrained %" PetscInt_FMT, gsize, p, dof - cdof, dof);
178:       cdof = 0; /* Ignore constraints */
179:     }
180:     for (d = 0, c = 0; d < dof; ++d) {
181:       if ((c < cdof) && (cind[c] == d)) {
182:         ++c;
183:         continue;
184:       }
185:       local[l + d - c] = off + d;
186:     }
187:     PetscCheck(d - c == gsize, comm, PETSC_ERR_ARG_WRONG, "Point %" PetscInt_FMT ": Global dof %" PetscInt_FMT " != %" PetscInt_FMT " size - number of constraints", p, gsize, d - c);
188:     if (gdof < 0) {
189:       for (d = 0; d < gsize; ++d, ++l) {
190:         PetscInt    offset = -(goff + 1) + d, ir;
191:         PetscMPIInt r;

193:         PetscCall(PetscFindInt(offset, size + 1, ranges, &ir));
194:         PetscCall(PetscMPIIntCast(ir, &r));
195:         if (r < 0) r = -(r + 2);
196:         PetscCheck(!(r < 0) && !(r >= size), PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Point %" PetscInt_FMT " mapped to invalid process %d (%" PetscInt_FMT ", %" PetscInt_FMT ")", p, r, gdof, goff);
197:         remote[l].rank  = r;
198:         remote[l].index = offset - ranges[r];
199:       }
200:     } else {
201:       for (d = 0; d < gsize; ++d, ++l) {
202:         remote[l].rank  = rank;
203:         remote[l].index = goff + d - ranges[rank];
204:       }
205:     }
206:   }
207:   PetscCheck(l == nleaves, comm, PETSC_ERR_PLIB, "Iteration error, l %" PetscInt_FMT " != nleaves %" PetscInt_FMT, l, nleaves);
208:   PetscCall(PetscLayoutDestroy(&layout));
209:   PetscCall(PetscSFSetGraph(sf, nroots, nleaves, local, PETSC_OWN_POINTER, remote, PETSC_OWN_POINTER));
210:   PetscFunctionReturn(PETSC_SUCCESS);
211: }

213: /*@C
214:   PetscSFDistributeSection - Create a new `PetscSection` reorganized, moving from the root to the leaves of the `PetscSF`

216:   Collective

218:   Input Parameters:
219: + sf          - The `PetscSF`
220: - rootSection - Section defined on root space

222:   Output Parameters:
223: + remoteOffsets - root offsets in leaf storage, or `NULL`, its length will be the size of the chart of `leafSection`
224: - leafSection   - Section defined on the leaf space

226:   Level: advanced

228:   Note:
229:   Caller must `PetscFree()` `remoteOffsets` if it was requested

231:   To distribute data from the `rootSection` to the `leafSection`, see  `PetscSFCreateSectionSF()` or `PetscSectionMigrateData()`.

233:   Fortran Note:
234:   Use `PetscSFDestroyRemoteOffsets()` when `remoteOffsets` is no longer needed.

236: .seealso: [](sec_petscsf), `PetscSF`, `PetscSFCreate()`, `PetscSFCreateSectionSF()`
237: @*/
238: PetscErrorCode PetscSFDistributeSection(PetscSF sf, PetscSection rootSection, PetscInt *remoteOffsets[], PetscSection leafSection)
239: {
240:   PetscSF         embedSF;
241:   const PetscInt *indices;
242:   IS              selected;
243:   PetscInt        numFields, nroots, rpStart, rpEnd, lpStart = PETSC_INT_MAX, lpEnd = -1, f, c;
244:   PetscBool      *sub, hasc;

246:   PetscFunctionBegin;
249:   if (remoteOffsets) PetscAssertPointer(remoteOffsets, 3);
251:   PetscCall(PetscLogEventBegin(PETSCSF_DistSect, sf, 0, 0, 0));
252:   PetscCall(PetscSectionGetNumFields(rootSection, &numFields));
253:   if (numFields) {
254:     IS perm;

256:     /* PetscSectionSetNumFields() calls PetscSectionReset(), which destroys
257:        leafSection->perm. To keep this permutation set by the user, we grab
258:        the reference before calling PetscSectionSetNumFields() and set it
259:        back after. */
260:     PetscCall(PetscSectionGetPermutation(leafSection, &perm));
261:     PetscCall(PetscObjectReference((PetscObject)perm));
262:     PetscCall(PetscSectionSetNumFields(leafSection, numFields));
263:     PetscCall(PetscSectionSetPermutation(leafSection, perm));
264:     PetscCall(ISDestroy(&perm));
265:   }
266:   PetscCall(PetscMalloc1(numFields + 2, &sub));
267:   sub[1] = rootSection->bc ? PETSC_TRUE : PETSC_FALSE;
268:   for (f = 0; f < numFields; ++f) {
269:     PetscSectionSym sym, dsym = NULL;
270:     const char     *name    = NULL;
271:     PetscInt        numComp = 0;

273:     sub[2 + f] = rootSection->field[f]->bc ? PETSC_TRUE : PETSC_FALSE;
274:     PetscCall(PetscSectionGetFieldComponents(rootSection, f, &numComp));
275:     PetscCall(PetscSectionGetFieldName(rootSection, f, &name));
276:     PetscCall(PetscSectionGetFieldSym(rootSection, f, &sym));
277:     if (sym) PetscCall(PetscSectionSymDistribute(sym, sf, &dsym));
278:     PetscCall(PetscSectionSetFieldComponents(leafSection, f, numComp));
279:     PetscCall(PetscSectionSetFieldName(leafSection, f, name));
280:     PetscCall(PetscSectionSetFieldSym(leafSection, f, dsym));
281:     PetscCall(PetscSectionSymDestroy(&dsym));
282:     for (c = 0; c < rootSection->numFieldComponents[f]; ++c) {
283:       PetscCall(PetscSectionGetComponentName(rootSection, f, c, &name));
284:       PetscCall(PetscSectionSetComponentName(leafSection, f, c, name));
285:     }
286:   }
287:   PetscCall(PetscSectionGetChart(rootSection, &rpStart, &rpEnd));
288:   PetscCall(PetscSFGetGraph(sf, &nroots, NULL, NULL, NULL));
289:   rpEnd = PetscMin(rpEnd, nroots);
290:   rpEnd = PetscMax(rpStart, rpEnd);
291:   /* see if we can avoid creating the embedded SF, since it can cost more than an allreduce */
292:   sub[0] = (PetscBool)(nroots != rpEnd - rpStart);
293:   PetscCallMPI(MPIU_Allreduce(MPI_IN_PLACE, sub, 2 + numFields, MPI_C_BOOL, MPI_LOR, PetscObjectComm((PetscObject)sf)));
294:   if (sub[0]) {
295:     PetscCall(ISCreateStride(PETSC_COMM_SELF, rpEnd - rpStart, rpStart, 1, &selected));
296:     PetscCall(ISGetIndices(selected, &indices));
297:     PetscCall(PetscSFCreateEmbeddedRootSF(sf, rpEnd - rpStart, indices, &embedSF));
298:     PetscCall(ISRestoreIndices(selected, &indices));
299:     PetscCall(ISDestroy(&selected));
300:   } else {
301:     PetscCall(PetscObjectReference((PetscObject)sf));
302:     embedSF = sf;
303:   }
304:   PetscCall(PetscSFGetLeafRange(embedSF, &lpStart, &lpEnd));
305:   lpEnd++;

307:   PetscCall(PetscSectionSetChart(leafSection, lpStart, lpEnd));

309:   /* Constrained dof section */
310:   hasc = sub[1];
311:   for (f = 0; f < numFields; ++f) hasc = (PetscBool)(hasc || sub[2 + f]);

313:   /* Could fuse these at the cost of copies and extra allocation */
314:   PetscCall(PetscSFBcastBegin(embedSF, MPIU_INT, PetscSafePointerPlusOffset(rootSection->atlasDof, -rpStart), PetscSafePointerPlusOffset(leafSection->atlasDof, -lpStart), MPI_REPLACE));
315:   PetscCall(PetscSFBcastEnd(embedSF, MPIU_INT, PetscSafePointerPlusOffset(rootSection->atlasDof, -rpStart), PetscSafePointerPlusOffset(leafSection->atlasDof, -lpStart), MPI_REPLACE));
316:   if (sub[1]) {
317:     PetscCall(PetscSectionCheckConstraints_Private(rootSection));
318:     PetscCall(PetscSectionCheckConstraints_Private(leafSection));
319:     PetscCall(PetscSFBcastBegin(embedSF, MPIU_INT, &rootSection->bc->atlasDof[-rpStart], &leafSection->bc->atlasDof[-lpStart], MPI_REPLACE));
320:     PetscCall(PetscSFBcastEnd(embedSF, MPIU_INT, &rootSection->bc->atlasDof[-rpStart], &leafSection->bc->atlasDof[-lpStart], MPI_REPLACE));
321:   }
322:   for (f = 0; f < numFields; ++f) {
323:     PetscCall(PetscSFBcastBegin(embedSF, MPIU_INT, PetscSafePointerPlusOffset(rootSection->field[f]->atlasDof, -rpStart), PetscSafePointerPlusOffset(leafSection->field[f]->atlasDof, -lpStart), MPI_REPLACE));
324:     PetscCall(PetscSFBcastEnd(embedSF, MPIU_INT, PetscSafePointerPlusOffset(rootSection->field[f]->atlasDof, -rpStart), PetscSafePointerPlusOffset(leafSection->field[f]->atlasDof, -lpStart), MPI_REPLACE));
325:     if (sub[2 + f]) {
326:       PetscCall(PetscSectionCheckConstraints_Private(rootSection->field[f]));
327:       PetscCall(PetscSectionCheckConstraints_Private(leafSection->field[f]));
328:       PetscCall(PetscSFBcastBegin(embedSF, MPIU_INT, &rootSection->field[f]->bc->atlasDof[-rpStart], &leafSection->field[f]->bc->atlasDof[-lpStart], MPI_REPLACE));
329:       PetscCall(PetscSFBcastEnd(embedSF, MPIU_INT, &rootSection->field[f]->bc->atlasDof[-rpStart], &leafSection->field[f]->bc->atlasDof[-lpStart], MPI_REPLACE));
330:     }
331:   }
332:   if (remoteOffsets) {
333:     PetscCall(PetscMalloc1(lpEnd - lpStart, remoteOffsets));
334:     PetscCall(PetscSFBcastBegin(embedSF, MPIU_INT, PetscSafePointerPlusOffset(rootSection->atlasOff, -rpStart), PetscSafePointerPlusOffset(*remoteOffsets, -lpStart), MPI_REPLACE));
335:     PetscCall(PetscSFBcastEnd(embedSF, MPIU_INT, PetscSafePointerPlusOffset(rootSection->atlasOff, -rpStart), PetscSafePointerPlusOffset(*remoteOffsets, -lpStart), MPI_REPLACE));
336:   }
337:   PetscCall(PetscSectionInvalidateMaxDof_Internal(leafSection));
338:   PetscCall(PetscSectionSetUp(leafSection));
339:   if (hasc) { /* need to communicate bcIndices */
340:     PetscSF   bcSF;
341:     PetscInt *rOffBc;

343:     PetscCall(PetscMalloc1(lpEnd - lpStart, &rOffBc));
344:     if (sub[1]) {
345:       PetscCall(PetscSFBcastBegin(embedSF, MPIU_INT, &rootSection->bc->atlasOff[-rpStart], &rOffBc[-lpStart], MPI_REPLACE));
346:       PetscCall(PetscSFBcastEnd(embedSF, MPIU_INT, &rootSection->bc->atlasOff[-rpStart], &rOffBc[-lpStart], MPI_REPLACE));
347:       PetscCall(PetscSFCreateSectionSF(embedSF, rootSection->bc, rOffBc, leafSection->bc, &bcSF));
348:       PetscCall(PetscSFBcastBegin(bcSF, MPIU_INT, rootSection->bcIndices, leafSection->bcIndices, MPI_REPLACE));
349:       PetscCall(PetscSFBcastEnd(bcSF, MPIU_INT, rootSection->bcIndices, leafSection->bcIndices, MPI_REPLACE));
350:       PetscCall(PetscSFDestroy(&bcSF));
351:     }
352:     for (f = 0; f < numFields; ++f) {
353:       if (sub[2 + f]) {
354:         PetscCall(PetscSFBcastBegin(embedSF, MPIU_INT, &rootSection->field[f]->bc->atlasOff[-rpStart], &rOffBc[-lpStart], MPI_REPLACE));
355:         PetscCall(PetscSFBcastEnd(embedSF, MPIU_INT, &rootSection->field[f]->bc->atlasOff[-rpStart], &rOffBc[-lpStart], MPI_REPLACE));
356:         PetscCall(PetscSFCreateSectionSF(embedSF, rootSection->field[f]->bc, rOffBc, leafSection->field[f]->bc, &bcSF));
357:         PetscCall(PetscSFBcastBegin(bcSF, MPIU_INT, rootSection->field[f]->bcIndices, leafSection->field[f]->bcIndices, MPI_REPLACE));
358:         PetscCall(PetscSFBcastEnd(bcSF, MPIU_INT, rootSection->field[f]->bcIndices, leafSection->field[f]->bcIndices, MPI_REPLACE));
359:         PetscCall(PetscSFDestroy(&bcSF));
360:       }
361:     }
362:     PetscCall(PetscFree(rOffBc));
363:   }
364:   PetscCall(PetscSFDestroy(&embedSF));
365:   PetscCall(PetscFree(sub));
366:   PetscCall(PetscLogEventEnd(PETSCSF_DistSect, sf, 0, 0, 0));
367:   PetscFunctionReturn(PETSC_SUCCESS);
368: }

370: /*@C
371:   PetscSFCreateRemoteOffsets - Create offsets for point data on remote processes

373:   Collective

375:   Input Parameters:
376: + sf          - The `PetscSF`
377: . rootSection - Data layout of remote points for outgoing data (this is layout for roots)
378: - leafSection - Data layout of local points for incoming data  (this is layout for leaves)

380:   Output Parameter:
381: . remoteOffsets - Offsets for point data on remote processes (these are offsets from the root section), or `NULL`

383:   Level: developer

385:   Note:
386:   Caller must `PetscFree()` `remoteOffsets` if it was requested

388:   Fortran Note:
389:   Use `PetscSFDestroyRemoteOffsets()` when `remoteOffsets` is no longer needed.

391: .seealso: [](sec_petscsf), `PetscSF`, `PetscSFCreate()`
392: @*/
393: PetscErrorCode PetscSFCreateRemoteOffsets(PetscSF sf, PetscSection rootSection, PetscSection leafSection, PetscInt *remoteOffsets[])
394: {
395:   PetscSF         embedSF;
396:   const PetscInt *indices;
397:   IS              selected;
398:   PetscInt        numRoots, rpStart = 0, rpEnd = 0, lpStart = 0, lpEnd = 0;

400:   PetscFunctionBegin;
404:   PetscAssertPointer(remoteOffsets, 4);
405:   *remoteOffsets = NULL;
406:   PetscCall(PetscSFGetGraph(sf, &numRoots, NULL, NULL, NULL));
407:   if (numRoots < 0) PetscFunctionReturn(PETSC_SUCCESS);
408:   PetscCall(PetscLogEventBegin(PETSCSF_RemoteOff, sf, 0, 0, 0));
409:   PetscCall(PetscSectionGetChart(rootSection, &rpStart, &rpEnd));
410:   PetscCall(PetscSectionGetChart(leafSection, &lpStart, &lpEnd));
411:   PetscCall(ISCreateStride(PETSC_COMM_SELF, rpEnd - rpStart, rpStart, 1, &selected));
412:   PetscCall(ISGetIndices(selected, &indices));
413:   PetscCall(PetscSFCreateEmbeddedRootSF(sf, rpEnd - rpStart, indices, &embedSF));
414:   PetscCall(ISRestoreIndices(selected, &indices));
415:   PetscCall(ISDestroy(&selected));
416:   PetscCall(PetscCalloc1(lpEnd - lpStart, remoteOffsets));
417:   PetscCall(PetscSFBcastBegin(embedSF, MPIU_INT, PetscSafePointerPlusOffset(rootSection->atlasOff, -rpStart), PetscSafePointerPlusOffset(*remoteOffsets, -lpStart), MPI_REPLACE));
418:   PetscCall(PetscSFBcastEnd(embedSF, MPIU_INT, PetscSafePointerPlusOffset(rootSection->atlasOff, -rpStart), PetscSafePointerPlusOffset(*remoteOffsets, -lpStart), MPI_REPLACE));
419:   PetscCall(PetscSFDestroy(&embedSF));
420:   PetscCall(PetscLogEventEnd(PETSCSF_RemoteOff, sf, 0, 0, 0));
421:   PetscFunctionReturn(PETSC_SUCCESS);
422: }

424: /*@
425:   PetscSFCreateSectionSF - Create an expanded `PetscSF` of dofs, assuming the input `PetscSF` relates points

427:   Collective

429:   Input Parameters:
430: + sf            - The `PetscSF`
431: . rootSection   - Data layout of remote points for outgoing data (this is usually the serial section)
432: . remoteOffsets - Offsets for point data on remote processes (these are offsets from the root section), or `NULL`
433: - leafSection   - Data layout of local points for incoming data  (this is the distributed section)

435:   Output Parameter:
436: . sectionSF - The new `PetscSF`

438:   Level: advanced

440:   Notes:
441:   `remoteOffsets` can be `NULL` if `sf` does not reference any points in `leafSection`

443: .seealso: [](sec_petscsf), `PetscSF`, `PetscSFCreate()`, `PetscSFDistributeSection()`
444: @*/
445: PetscErrorCode PetscSFCreateSectionSF(PetscSF sf, PetscSection rootSection, PetscInt remoteOffsets[], PetscSection leafSection, PetscSF *sectionSF)
446: {
447:   MPI_Comm           comm;
448:   const PetscInt    *localPoints;
449:   const PetscSFNode *remotePoints;
450:   PetscInt           lpStart, lpEnd;
451:   PetscInt           numRoots, numSectionRoots, numPoints, numIndices = 0;
452:   PetscInt          *localIndices;
453:   PetscSFNode       *remoteIndices;
454:   PetscInt           i, ind;

456:   PetscFunctionBegin;
458:   PetscAssertPointer(rootSection, 2);
459:   /* Cannot check PetscAssertPointer(remoteOffsets,3) because it can be NULL if sf does not reference any points in leafSection */
460:   PetscAssertPointer(leafSection, 4);
461:   PetscAssertPointer(sectionSF, 5);
462:   PetscCall(PetscObjectGetComm((PetscObject)sf, &comm));
463:   PetscCall(PetscSFCreate(comm, sectionSF));
464:   PetscCall(PetscSectionGetChart(leafSection, &lpStart, &lpEnd));
465:   PetscCall(PetscSectionGetStorageSize(rootSection, &numSectionRoots));
466:   PetscCall(PetscSFGetGraph(sf, &numRoots, &numPoints, &localPoints, &remotePoints));
467:   if (numRoots < 0) PetscFunctionReturn(PETSC_SUCCESS);
468:   PetscCall(PetscLogEventBegin(PETSCSF_SectSF, sf, 0, 0, 0));
469:   for (i = 0; i < numPoints; ++i) {
470:     PetscInt localPoint = localPoints ? localPoints[i] : i;
471:     PetscInt dof;

473:     if ((localPoint >= lpStart) && (localPoint < lpEnd)) {
474:       PetscCall(PetscSectionGetDof(leafSection, localPoint, &dof));
475:       numIndices += dof < 0 ? 0 : dof;
476:     }
477:   }
478:   PetscCall(PetscMalloc1(numIndices, &localIndices));
479:   PetscCall(PetscMalloc1(numIndices, &remoteIndices));
480:   /* Create new index graph */
481:   for (i = 0, ind = 0; i < numPoints; ++i) {
482:     PetscInt localPoint = localPoints ? localPoints[i] : i;
483:     PetscInt rank       = remotePoints[i].rank;

485:     if ((localPoint >= lpStart) && (localPoint < lpEnd)) {
486:       PetscInt remoteOffset = remoteOffsets[localPoint - lpStart];
487:       PetscInt loff, dof, d;

489:       PetscCall(PetscSectionGetOffset(leafSection, localPoint, &loff));
490:       PetscCall(PetscSectionGetDof(leafSection, localPoint, &dof));
491:       for (d = 0; d < dof; ++d, ++ind) {
492:         localIndices[ind]        = loff + d;
493:         remoteIndices[ind].rank  = rank;
494:         remoteIndices[ind].index = remoteOffset + d;
495:       }
496:     }
497:   }
498:   PetscCheck(numIndices == ind, comm, PETSC_ERR_PLIB, "Inconsistency in indices, %" PetscInt_FMT " should be %" PetscInt_FMT, ind, numIndices);
499:   PetscCall(PetscSFSetGraph(*sectionSF, numSectionRoots, numIndices, localIndices, PETSC_OWN_POINTER, remoteIndices, PETSC_OWN_POINTER));
500:   PetscCall(PetscSFSetUp(*sectionSF));
501:   PetscCall(PetscLogEventEnd(PETSCSF_SectSF, sf, 0, 0, 0));
502:   PetscFunctionReturn(PETSC_SUCCESS);
503: }

505: /*@C
506:   PetscSFCreateFromLayouts - Creates a parallel star forest mapping between two `PetscLayout` objects

508:   Collective

510:   Input Parameters:
511: + rmap - `PetscLayout` defining the global root space
512: - lmap - `PetscLayout` defining the global leaf space

514:   Output Parameter:
515: . sf - The parallel star forest

517:   Level: intermediate

519:   Notes:
520:   If the global length of `lmap` differs from the global length of `rmap` then the excess entries are ignored.

522:   The resulting `sf` used with `PetscSFBcastBegin()` and `PetscSFBcastEnd()` merely copies the array entries of `rootdata` to
523:   `leafdata`; moving them between MPI processes if needed. For example,
524:   if rmap is [0, 3, 5) and lmap is [0, 2, 6) and `rootdata` is (1, 2, 3) on MPI rank 0 and (4, 5) on MPI rank 1 then the
525:   `leafdata` would become (1, 2) on MPI rank 0 and (3, 4, 5, x) on MPI rank 1.

527: .seealso: [](sec_petscsf), `PetscSF`, `PetscLayout`, `PetscSFCreate()`, `PetscSFSetGraph()`, `PetscLayoutCreate()`, `PetscSFSetGraphLayout()`
528: @*/
529: PetscErrorCode PetscSFCreateFromLayouts(PetscLayout rmap, PetscLayout lmap, PetscSF *sf)
530: {
531:   PetscInt     i, nroots, nleaves = 0;
532:   PetscInt     rN, lst, len;
533:   PetscMPIInt  owner = -1;
534:   PetscSFNode *remote;
535:   MPI_Comm     rcomm = rmap->comm;
536:   MPI_Comm     lcomm = lmap->comm;
537:   PetscMPIInt  flg;

539:   PetscFunctionBegin;
540:   PetscAssertPointer(rmap, 1);
541:   PetscAssertPointer(lmap, 2);
542:   PetscAssertPointer(sf, 3);
543:   PetscCheck(rmap->setupcalled, rcomm, PETSC_ERR_ARG_WRONGSTATE, "Root layout not setup");
544:   PetscCheck(lmap->setupcalled, lcomm, PETSC_ERR_ARG_WRONGSTATE, "Leaf layout not setup");
545:   PetscCallMPI(MPI_Comm_compare(rcomm, lcomm, &flg));
546:   PetscCheck(flg == MPI_CONGRUENT || flg == MPI_IDENT, rcomm, PETSC_ERR_SUP, "cannot map two layouts with non-matching communicators");
547:   PetscCall(PetscSFCreate(rcomm, sf));
548:   PetscCall(PetscLayoutGetLocalSize(rmap, &nroots));
549:   PetscCall(PetscLayoutGetSize(rmap, &rN));
550:   PetscCall(PetscLayoutGetRange(lmap, &lst, &len));
551:   PetscCall(PetscMalloc1(len - lst, &remote));
552:   for (i = lst; i < len && i < rN; i++) {
553:     if (owner < -1 || i >= rmap->range[owner + 1]) PetscCall(PetscLayoutFindOwner(rmap, i, &owner));
554:     remote[nleaves].rank  = owner;
555:     remote[nleaves].index = i - rmap->range[owner];
556:     nleaves++;
557:   }
558:   PetscCall(PetscSFSetGraph(*sf, nroots, nleaves, NULL, PETSC_OWN_POINTER, remote, PETSC_COPY_VALUES));
559:   PetscCall(PetscFree(remote));
560:   PetscFunctionReturn(PETSC_SUCCESS);
561: }

563: /* TODO: handle nooffprocentries like MatZeroRowsMapLocal_Private, since this code is the same */
564: PetscErrorCode PetscLayoutMapLocal(PetscLayout map, PetscInt N, const PetscInt idxs[], PetscInt *on, PetscInt *oidxs[], PetscInt *ogidxs[])
565: {
566:   PetscInt    *owners = map->range;
567:   PetscInt     n      = map->n;
568:   PetscSF      sf;
569:   PetscInt    *lidxs, *work = NULL, *ilocal;
570:   PetscSFNode *ridxs;
571:   PetscMPIInt  rank, p = 0;
572:   PetscInt     r, len = 0, nleaves = 0;

574:   PetscFunctionBegin;
575:   if (on) *on = 0; /* squelch -Wmaybe-uninitialized */
576:   /* Create SF where leaves are input idxs and roots are owned idxs */
577:   PetscCallMPI(MPI_Comm_rank(map->comm, &rank));
578:   PetscCall(PetscMalloc1(n, &lidxs));
579:   for (r = 0; r < n; ++r) lidxs[r] = -1;
580:   PetscCall(PetscMalloc1(N, &ridxs));
581:   PetscCall(PetscMalloc1(N, &ilocal));
582:   for (r = 0; r < N; ++r) {
583:     const PetscInt idx = idxs[r];

585:     if (idx < 0) continue;
586:     PetscCheck(idx < map->N, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Index %" PetscInt_FMT " out of range [0,%" PetscInt_FMT ")", idx, map->N);
587:     if (idx < owners[p] || owners[p + 1] <= idx) { /* short-circuit the search if the last p owns this idx too */
588:       PetscCall(PetscLayoutFindOwner(map, idx, &p));
589:     }
590:     ridxs[nleaves].rank  = p;
591:     ridxs[nleaves].index = idxs[r] - owners[p];
592:     ilocal[nleaves]      = r;
593:     nleaves++;
594:   }
595:   PetscCall(PetscSFCreate(map->comm, &sf));
596:   PetscCall(PetscSFSetGraph(sf, n, nleaves, ilocal, PETSC_OWN_POINTER, ridxs, PETSC_OWN_POINTER));
597:   PetscCall(PetscSFReduceBegin(sf, MPIU_INT, (PetscInt *)idxs, lidxs, MPI_LOR));
598:   PetscCall(PetscSFReduceEnd(sf, MPIU_INT, (PetscInt *)idxs, lidxs, MPI_LOR));
599:   if (ogidxs) { /* communicate global idxs */
600:     PetscInt cum = 0, start, *work2;

602:     PetscCall(PetscMalloc1(n, &work));
603:     PetscCall(PetscCalloc1(N, &work2));
604:     for (r = 0; r < N; ++r)
605:       if (idxs[r] >= 0) cum++;
606:     PetscCallMPI(MPI_Scan(&cum, &start, 1, MPIU_INT, MPI_SUM, map->comm));
607:     start -= cum;
608:     cum = 0;
609:     for (r = 0; r < N; ++r)
610:       if (idxs[r] >= 0) work2[r] = start + cum++;
611:     PetscCall(PetscSFReduceBegin(sf, MPIU_INT, work2, work, MPI_REPLACE));
612:     PetscCall(PetscSFReduceEnd(sf, MPIU_INT, work2, work, MPI_REPLACE));
613:     PetscCall(PetscFree(work2));
614:   }
615:   PetscCall(PetscSFDestroy(&sf));
616:   /* Compress and put in indices */
617:   for (r = 0; r < n; ++r)
618:     if (lidxs[r] >= 0) {
619:       if (work) work[len] = work[r];
620:       lidxs[len++] = r;
621:     }
622:   if (on) *on = len;
623:   if (oidxs) *oidxs = lidxs;
624:   if (ogidxs) *ogidxs = work;
625:   PetscFunctionReturn(PETSC_SUCCESS);
626: }

628: /*@
629:   PetscSFCreateByMatchingIndices - Create `PetscSF` by matching root and leaf indices

631:   Collective

633:   Input Parameters:
634: + layout           - `PetscLayout` defining the global index space and the MPI rank that brokers each index
635: . numRootIndices   - size of `rootIndices`
636: . rootIndices      - array of global indices of which this process requests ownership
637: . rootLocalIndices - root local index permutation (`NULL` if no permutation)
638: . rootLocalOffset  - offset to be added to `rootLocalIndices`
639: . numLeafIndices   - size of `leafIndices`
640: . leafIndices      - array of global indices with which this process requires data associated
641: . leafLocalIndices - leaf local index permutation (`NULL` if no permutation)
642: - leafLocalOffset  - offset to be added to `leafLocalIndices`

644:   Output Parameters:
645: + sfA - star forest representing the communication pattern from the layout space to the leaf space (`NULL` if not needed)
646: - sf  - star forest representing the communication pattern from the root space to the leaf space

648:   Level: advanced

650:   Example 1:
651: .vb
652:   rank             : 0            1            2
653:   rootIndices      : [1 0 2]      [3]          [3]
654:   rootLocalOffset  : 100          200          300
655:   layout           : [0 1]        [2]          [3]
656:   leafIndices      : [0]          [2]          [0 3]
657:   leafLocalOffset  : 400          500          600

659: would build the following PetscSF

661:   [0] 400 <- (0,101)
662:   [1] 500 <- (0,102)
663:   [2] 600 <- (0,101)
664:   [2] 601 <- (2,300)
665: .ve

667:   Example 2:
668: .vb
669:   rank             : 0               1               2
670:   rootIndices      : [1 0 2]         [3]             [3]
671:   rootLocalOffset  : 100             200             300
672:   layout           : [0 1]           [2]             [3]
673:   leafIndices      : rootIndices     rootIndices     rootIndices
674:   leafLocalOffset  : rootLocalOffset rootLocalOffset rootLocalOffset

676: would build the following PetscSF

678:   [1] 200 <- (2,300)
679: .ve

681:   Example 3:
682: .vb
683:   No process requests ownership of global index 1, but no process needs it.

685:   rank             : 0            1            2
686:   numRootIndices   : 2            1            1
687:   rootIndices      : [0 2]        [3]          [3]
688:   rootLocalOffset  : 100          200          300
689:   layout           : [0 1]        [2]          [3]
690:   numLeafIndices   : 1            1            2
691:   leafIndices      : [0]          [2]          [0 3]
692:   leafLocalOffset  : 400          500          600

694: would build the following PetscSF

696:   [0] 400 <- (0,100)
697:   [1] 500 <- (0,101)
698:   [2] 600 <- (0,100)
699:   [2] 601 <- (2,300)
700: .ve

702:   Notes:
703:   `layout` represents any partitioning of [0, N), where N is the total number of global indices, and its
704:   local size can be set to `PETSC_DECIDE`.

706:   If a global index x lies in the partition owned by process i, each process whose `rootIndices` contains x requests
707:   ownership of x and sends its own rank and the local index of x to process i.
708:   If multiple processes request ownership of x, the one with the highest rank is to own x.
709:   Process i then broadcasts the ownership information, so that each process whose `leafIndices` contains x knows the
710:   ownership information of x.
711:   The output `sf` is constructed by associating each leaf point to a root point in this way.

713:   Suppose there is point data ordered according to the global indices and partitioned according to the given layout.
714:   The optional output `sfA` can be used to push such data to leaf points.

716:   All indices in `rootIndices` and `leafIndices` must lie in the layout range. The union (over all processes) of `rootIndices`
717:   must cover that of `leafIndices`, but need not cover the entire layout.

719:   If (leafIndices, leafLocalIndices, leafLocalOffset) == (rootIndices, rootLocalIndices, rootLocalOffset), the output
720:   star forest is almost identity, so will only include non-trivial part of the map.

722:   Developer Notes:
723:   Current approach of a process of the highest rank gaining the ownership may cause load imbalance; consider using
724:   hash(rank, root_local_index) as the bid for the ownership determination.

726: .seealso: [](sec_petscsf), `PetscSF`, `PetscSFCreate()`
727: @*/
728: PetscErrorCode PetscSFCreateByMatchingIndices(PetscLayout layout, PetscInt numRootIndices, const PetscInt rootIndices[], const PetscInt rootLocalIndices[], PetscInt rootLocalOffset, PetscInt numLeafIndices, const PetscInt leafIndices[], const PetscInt leafLocalIndices[], PetscInt leafLocalOffset, PetscSF *sfA, PetscSF *sf)
729: {
730:   MPI_Comm     comm = layout->comm;
731:   PetscMPIInt  rank;
732:   PetscSF      sf1;
733:   PetscSFNode *owners, *buffer, *iremote;
734:   PetscInt    *ilocal, nleaves, N, n, i;
735:   PetscBool    areIndicesSame;

737:   PetscFunctionBegin;
738:   PetscAssertPointer(layout, 1);
739:   if (rootIndices) PetscAssertPointer(rootIndices, 3);
740:   if (rootLocalIndices) PetscAssertPointer(rootLocalIndices, 4);
741:   if (leafIndices) PetscAssertPointer(leafIndices, 7);
742:   if (leafLocalIndices) PetscAssertPointer(leafLocalIndices, 8);
743:   if (sfA) PetscAssertPointer(sfA, 10);
744:   PetscAssertPointer(sf, 11);
745:   PetscCheck(numRootIndices >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "numRootIndices (%" PetscInt_FMT ") must be non-negative", numRootIndices);
746:   PetscCheck(numLeafIndices >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "numLeafIndices (%" PetscInt_FMT ") must be non-negative", numLeafIndices);
747:   PetscCallMPI(MPI_Comm_rank(comm, &rank));
748:   PetscCall(PetscLayoutSetUp(layout));
749:   PetscCall(PetscLayoutGetSize(layout, &N));
750:   PetscCall(PetscLayoutGetLocalSize(layout, &n));
751:   areIndicesSame = (PetscBool)(leafIndices == rootIndices);
752:   PetscCallMPI(MPIU_Allreduce(MPI_IN_PLACE, &areIndicesSame, 1, MPI_C_BOOL, MPI_LAND, comm));
753:   PetscCheck(!areIndicesSame || numLeafIndices == numRootIndices, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "leafIndices == rootIndices, but numLeafIndices (%" PetscInt_FMT ") != numRootIndices(%" PetscInt_FMT ")", numLeafIndices, numRootIndices);
754:   if (PetscDefined(USE_DEBUG)) {
755:     PetscInt N1 = PETSC_INT_MIN;
756:     for (i = 0; i < numRootIndices; i++)
757:       if (rootIndices[i] > N1) N1 = rootIndices[i];
758:     PetscCallMPI(MPIU_Allreduce(MPI_IN_PLACE, &N1, 1, MPIU_INT, MPI_MAX, comm));
759:     PetscCheck(N1 < N, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Max. root index (%" PetscInt_FMT ") out of layout range [0,%" PetscInt_FMT ")", N1, N);
760:     if (!areIndicesSame) {
761:       N1 = PETSC_INT_MIN;
762:       for (i = 0; i < numLeafIndices; i++)
763:         if (leafIndices[i] > N1) N1 = leafIndices[i];
764:       PetscCallMPI(MPIU_Allreduce(MPI_IN_PLACE, &N1, 1, MPIU_INT, MPI_MAX, comm));
765:       PetscCheck(N1 < N, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Max. leaf index (%" PetscInt_FMT ") out of layout range [0,%" PetscInt_FMT ")", N1, N);
766:     }
767:   }

769:   /* Reduce: owners -> buffer */
770:   PetscCall(PetscMalloc1(n, &buffer));
771:   PetscCall(PetscSFCreate(comm, &sf1));
772:   PetscCall(PetscSFSetFromOptions(sf1));
773:   PetscCall(PetscSFSetGraphLayout(sf1, layout, numRootIndices, NULL, PETSC_OWN_POINTER, rootIndices));
774:   PetscCall(PetscMalloc1(numRootIndices, &owners));
775:   for (i = 0; i < numRootIndices; ++i) {
776:     owners[i].rank  = rank;
777:     owners[i].index = rootLocalOffset + (rootLocalIndices ? rootLocalIndices[i] : i);
778:   }
779:   for (i = 0; i < n; ++i) {
780:     buffer[i].index = -1;
781:     buffer[i].rank  = -1;
782:   }
783:   PetscCall(PetscSFReduceBegin(sf1, MPIU_SF_NODE, owners, buffer, MPI_MAXLOC));
784:   PetscCall(PetscSFReduceEnd(sf1, MPIU_SF_NODE, owners, buffer, MPI_MAXLOC));
785:   /* Bcast: buffer -> owners */
786:   if (!areIndicesSame) {
787:     PetscCall(PetscFree(owners));
788:     PetscCall(PetscSFSetGraphLayout(sf1, layout, numLeafIndices, NULL, PETSC_OWN_POINTER, leafIndices));
789:     PetscCall(PetscMalloc1(numLeafIndices, &owners));
790:   }
791:   PetscCall(PetscSFBcastBegin(sf1, MPIU_SF_NODE, buffer, owners, MPI_REPLACE));
792:   PetscCall(PetscSFBcastEnd(sf1, MPIU_SF_NODE, buffer, owners, MPI_REPLACE));
793:   for (i = 0; i < numLeafIndices; ++i) PetscCheck(owners[i].rank >= 0, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Global point %" PetscInt_FMT " was unclaimed", leafIndices[i]);
794:   PetscCall(PetscFree(buffer));
795:   if (sfA) {
796:     *sfA = sf1;
797:   } else PetscCall(PetscSFDestroy(&sf1));
798:   /* Create sf */
799:   if (areIndicesSame && rootLocalIndices == leafLocalIndices && leafLocalOffset == rootLocalOffset) {
800:     /* leaf space == root space */
801:     for (i = 0, nleaves = 0; i < numLeafIndices; ++i)
802:       if (owners[i].rank != rank) ++nleaves;
803:     PetscCall(PetscMalloc1(nleaves, &ilocal));
804:     PetscCall(PetscMalloc1(nleaves, &iremote));
805:     for (i = 0, nleaves = 0; i < numLeafIndices; ++i) {
806:       if (owners[i].rank != rank) {
807:         ilocal[nleaves]        = leafLocalOffset + i;
808:         iremote[nleaves].rank  = owners[i].rank;
809:         iremote[nleaves].index = owners[i].index;
810:         ++nleaves;
811:       }
812:     }
813:     PetscCall(PetscFree(owners));
814:   } else {
815:     nleaves = numLeafIndices;
816:     PetscCall(PetscMalloc1(nleaves, &ilocal));
817:     for (i = 0; i < nleaves; ++i) ilocal[i] = leafLocalOffset + (leafLocalIndices ? leafLocalIndices[i] : i);
818:     iremote = owners;
819:   }
820:   PetscCall(PetscSFCreate(comm, sf));
821:   PetscCall(PetscSFSetFromOptions(*sf));
822:   PetscCall(PetscSFSetGraph(*sf, rootLocalOffset + numRootIndices, nleaves, ilocal, PETSC_OWN_POINTER, iremote, PETSC_OWN_POINTER));
823:   PetscFunctionReturn(PETSC_SUCCESS);
824: }

826: /*@
827:   PetscSFMerge - append/merge indices of `sfb` into `sfa`, with preference for `sfb`

829:   Collective

831:   Input Parameters:
832: + sfa - default `PetscSF`
833: - sfb - additional edges to add/replace edges in `sfa`

835:   Output Parameter:
836: . merged - new `PetscSF` with combined edges

838:   Level: intermediate

840: .seealso: [](sec_petscsf), `PetscSF`, `PetscSFCompose()`
841: @*/
842: PetscErrorCode PetscSFMerge(PetscSF sfa, PetscSF sfb, PetscSF *merged)
843: {
844:   PetscInt maxleaf;

846:   PetscFunctionBegin;
849:   PetscCheckSameComm(sfa, 1, sfb, 2);
850:   PetscAssertPointer(merged, 3);
851:   {
852:     PetscInt aleaf, bleaf;
853:     PetscCall(PetscSFGetLeafRange(sfa, NULL, &aleaf));
854:     PetscCall(PetscSFGetLeafRange(sfb, NULL, &bleaf));
855:     maxleaf = PetscMax(aleaf, bleaf) + 1; // One more than the last index
856:   }
857:   PetscInt          *clocal, aroots, aleaves, broots, bleaves;
858:   PetscSFNode       *cremote;
859:   const PetscInt    *alocal, *blocal;
860:   const PetscSFNode *aremote, *bremote;
861:   PetscCall(PetscMalloc2(maxleaf, &clocal, maxleaf, &cremote));
862:   for (PetscInt i = 0; i < maxleaf; i++) clocal[i] = -1;
863:   PetscCall(PetscSFGetGraph(sfa, &aroots, &aleaves, &alocal, &aremote));
864:   PetscCall(PetscSFGetGraph(sfb, &broots, &bleaves, &blocal, &bremote));
865:   PetscCheck(aroots == broots, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Both sfa and sfb must have the same root space");
866:   for (PetscInt i = 0; i < aleaves; i++) {
867:     PetscInt a = alocal ? alocal[i] : i;
868:     clocal[a]  = a;
869:     cremote[a] = aremote[i];
870:   }
871:   for (PetscInt i = 0; i < bleaves; i++) {
872:     PetscInt b = blocal ? blocal[i] : i;
873:     clocal[b]  = b;
874:     cremote[b] = bremote[i];
875:   }
876:   PetscInt nleaves = 0;
877:   for (PetscInt i = 0; i < maxleaf; i++) {
878:     if (clocal[i] < 0) continue;
879:     clocal[nleaves]  = clocal[i];
880:     cremote[nleaves] = cremote[i];
881:     nleaves++;
882:   }
883:   PetscCall(PetscSFCreate(PetscObjectComm((PetscObject)sfa), merged));
884:   PetscCall(PetscSFSetGraph(*merged, aroots, nleaves, clocal, PETSC_COPY_VALUES, cremote, PETSC_COPY_VALUES));
885:   PetscCall(PetscFree2(clocal, cremote));
886:   PetscFunctionReturn(PETSC_SUCCESS);
887: }

889: /*@
890:   PetscSFCreateStridedSF - Create an `PetscSF` to communicate interleaved blocks of data

892:   Collective

894:   Input Parameters:
895: + sf  - star forest
896: . bs  - stride
897: . ldr - leading dimension of root space
898: - ldl - leading dimension of leaf space

900:   Output Parameter:
901: . vsf - the new `PetscSF`

903:   Level: intermediate

905:   Notes:
906:   This can be useful to perform communications on multiple right-hand sides stored in a Fortran-style two dimensional array.
907:   For example, the calling sequence
908: .vb
909:   c_datatype *roots, *leaves;
910:   for i in [0,bs) do
911:     PetscSFBcastBegin(sf, mpi_datatype, roots + i*ldr, leaves + i*ldl, op)
912:     PetscSFBcastEnd(sf, mpi_datatype, roots + i*ldr, leaves + i*ldl, op)
913: .ve
914:   is equivalent to
915: .vb
916:   c_datatype *roots, *leaves;
917:   PetscSFCreateStridedSF(sf, bs, ldr, ldl, &vsf)
918:   PetscSFBcastBegin(vsf, mpi_datatype, roots, leaves, op)
919:   PetscSFBcastEnd(vsf, mpi_datatype, roots, leaves, op)
920: .ve

922:   Developer Notes:
923:   Should this functionality be handled with a new API instead of creating a new object?

925: .seealso: [](sec_petscsf), `PetscSF`, `PetscSFCreate()`, `PetscSFSetGraph()`
926: @*/
927: PetscErrorCode PetscSFCreateStridedSF(PetscSF sf, PetscInt bs, PetscInt ldr, PetscInt ldl, PetscSF *vsf)
928: {
929:   PetscSF            rankssf;
930:   const PetscSFNode *iremote, *sfrremote;
931:   PetscSFNode       *viremote;
932:   const PetscInt    *ilocal;
933:   PetscInt          *vilocal = NULL, *ldrs;
934:   PetscInt           nranks, nr, nl, vnr, vnl, maxl;
935:   PetscMPIInt        rank;
936:   MPI_Comm           comm;
937:   PetscSFType        sftype;

939:   PetscFunctionBegin;
942:   PetscAssertPointer(vsf, 5);
943:   if (bs == 1) {
944:     PetscCall(PetscObjectReference((PetscObject)sf));
945:     *vsf = sf;
946:     PetscFunctionReturn(PETSC_SUCCESS);
947:   }
948:   PetscCall(PetscSFSetUp(sf));
949:   PetscCall(PetscObjectGetComm((PetscObject)sf, &comm));
950:   PetscCallMPI(MPI_Comm_rank(comm, &rank));
951:   PetscCall(PetscSFGetGraph(sf, &nr, &nl, &ilocal, &iremote));
952:   PetscCall(PetscSFGetLeafRange(sf, NULL, &maxl));
953:   maxl += 1;
954:   if (ldl == PETSC_DECIDE) ldl = maxl;
955:   if (ldr == PETSC_DECIDE) ldr = nr;
956:   ldl /= PetscMax(1, sf->vscat.bs); // SFs created from VecScatterCreate() may have a nonzero block size. If not 0, we need to scale ldl and ldr
957:   ldr /= PetscMax(1, sf->vscat.bs);
958:   PetscCheck(ldr >= nr, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid leading dimension %" PetscInt_FMT " must be smaller than number of roots %" PetscInt_FMT, ldr, nr);
959:   PetscCheck(ldl >= maxl, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid leading dimension %" PetscInt_FMT " must be larger than leaf range %" PetscInt_FMT, ldl, maxl - 1);
960:   vnr = nr * bs;
961:   vnl = nl * bs;
962:   PetscCall(PetscMalloc1(vnl, &viremote));
963:   PetscCall(PetscMalloc1(vnl, &vilocal));

965:   /* Communicate root leading dimensions to leaf ranks */
966:   PetscCall(PetscSFGetRanksSF(sf, &rankssf));
967:   PetscCall(PetscSFGetGraph(rankssf, NULL, &nranks, NULL, &sfrremote));
968:   PetscCall(PetscMalloc1(nranks, &ldrs));
969:   PetscCall(PetscSFBcastBegin(rankssf, MPIU_INT, &ldr, ldrs, MPI_REPLACE));
970:   PetscCall(PetscSFBcastEnd(rankssf, MPIU_INT, &ldr, ldrs, MPI_REPLACE));

972:   for (PetscInt i = 0, rold = -1, lda = -1; i < nl; i++) {
973:     const PetscInt r  = iremote[i].rank;
974:     const PetscInt ii = iremote[i].index;

976:     if (r == rank) lda = ldr;
977:     else if (rold != r) {
978:       PetscInt j;

980:       for (j = 0; j < nranks; j++)
981:         if (sfrremote[j].rank == r) break;
982:       PetscCheck(j < nranks, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Unable to locate neighbor rank %" PetscInt_FMT, r);
983:       lda = ldrs[j];
984:     }
985:     rold = r;
986:     for (PetscInt v = 0; v < bs; v++) {
987:       viremote[v * nl + i].rank  = r;
988:       viremote[v * nl + i].index = v * lda + ii;
989:       vilocal[v * nl + i]        = v * ldl + (ilocal ? ilocal[i] : i);
990:     }
991:   }
992:   PetscCall(PetscFree(ldrs));
993:   PetscCall(PetscSFCreate(comm, vsf));
994:   if (sf->vscat.bs > 1) {
995:     (*vsf)->vscat.bs = sf->vscat.bs;
996:     PetscCallMPI(MPI_Type_dup(sf->vscat.unit, &(*vsf)->vscat.unit));
997:     (*vsf)->vscat.to_n   = bs * sf->vscat.to_n;
998:     (*vsf)->vscat.from_n = bs * sf->vscat.from_n;
999:   }
1000:   PetscCall(PetscSFGetType(sf, &sftype));
1001:   PetscCall(PetscSFSetType(*vsf, sftype));
1002:   PetscCall(PetscSFSetGraph(*vsf, vnr, vnl, vilocal, PETSC_OWN_POINTER, viremote, PETSC_OWN_POINTER));
1003:   PetscFunctionReturn(PETSC_SUCCESS);
1004: }