Actual source code: partsimple.c

  1: #include <petscvec.h>
  2: #include <petsc/private/partitionerimpl.h>

  4: typedef struct {
  5:   PetscBool useGrid;        /* Flag to use a grid layout */
  6:   PetscInt  gridDim;        /* The grid dimension */
  7:   PetscInt  nodeGrid[3];    /* Dimension of node grid */
  8:   PetscInt  processGrid[3]; /* Dimension of local process grid on each node */
  9: } PetscPartitioner_Simple;

 11: static PetscErrorCode PetscPartitionerDestroy_Simple(PetscPartitioner part)
 12: {
 13:   PetscFunctionBegin;
 14:   PetscCall(PetscFree(part->data));
 15:   PetscFunctionReturn(PETSC_SUCCESS);
 16: }

 18: static PetscErrorCode PetscPartitionerView_Simple_ASCII(PetscPartitioner part, PetscViewer viewer)
 19: {
 20:   PetscFunctionBegin;
 21:   PetscFunctionReturn(PETSC_SUCCESS);
 22: }

 24: static PetscErrorCode PetscPartitionerView_Simple(PetscPartitioner part, PetscViewer viewer)
 25: {
 26:   PetscBool iascii;

 28:   PetscFunctionBegin;
 31:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &iascii));
 32:   if (iascii) PetscCall(PetscPartitionerView_Simple_ASCII(part, viewer));
 33:   PetscFunctionReturn(PETSC_SUCCESS);
 34: }

 36: static PetscErrorCode PetscPartitionerSetFromOptions_Simple(PetscPartitioner part, PetscOptionItems *PetscOptionsObject)
 37: {
 38:   PetscPartitioner_Simple *p = (PetscPartitioner_Simple *)part->data;
 39:   PetscInt                 num, i;
 40:   PetscBool                flg;

 42:   PetscFunctionBegin;
 43:   for (i = 0; i < 3; ++i) p->processGrid[i] = p->nodeGrid[i] = 1;
 44:   PetscOptionsHeadBegin(PetscOptionsObject, "PetscPartitioner Simple Options");
 45:   num = 3;
 46:   PetscCall(PetscOptionsIntArray("-petscpartitioner_simple_node_grid", "Number of nodes in each dimension", "", p->nodeGrid, &num, &flg));
 47:   if (flg) {
 48:     p->useGrid = PETSC_TRUE;
 49:     p->gridDim = num;
 50:   }
 51:   num = 3;
 52:   PetscCall(PetscOptionsIntArray("-petscpartitioner_simple_process_grid", "Number of local processes in each dimension for a given node", "", p->processGrid, &num, &flg));
 53:   if (flg) {
 54:     p->useGrid = PETSC_TRUE;
 55:     if (p->gridDim < 0) p->gridDim = num;
 56:     else PetscCheck(p->gridDim == num, PetscObjectComm((PetscObject)part), PETSC_ERR_ARG_INCOMP, "Process grid dimension %" PetscInt_FMT " != %" PetscInt_FMT " node grid dimension", num, p->gridDim);
 57:   }
 58:   PetscOptionsHeadEnd();
 59:   PetscFunctionReturn(PETSC_SUCCESS);
 60: }

 62: static PetscErrorCode PetscPartitionerPartition_Simple_Grid(PetscPartitioner part, PetscInt nparts, PetscInt numVertices, PetscInt start[], PetscInt adjacency[], PetscSection vertSection, PetscSection targetSection, PetscSection partSection, IS *partition)
 63: {
 64:   PetscPartitioner_Simple *p     = (PetscPartitioner_Simple *)part->data;
 65:   const PetscInt          *nodes = p->nodeGrid;
 66:   const PetscInt          *procs = p->processGrid;
 67:   PetscInt                *cellproc, *offsets, cells[3] = {1, 1, 1}, pcells[3] = {1, 1, 1};
 68:   PetscInt                 Np = 1, Nr, np, nk, nj, ni, pk, pj, pi, ck, cj, ci, i;
 69:   MPI_Comm                 comm;
 70:   PetscMPIInt              size;

 72:   PetscFunctionBegin;
 73:   if (vertSection) PetscCall(PetscInfo(part, "PETSCPARTITIONERSIMPLE ignores vertex weights when using grid partition\n"));
 74:   if (targetSection) PetscCall(PetscInfo(part, "PETSCPARTITIONERSIMPLE ignores partition weights when using grid partition\n"));
 75:   PetscCall(PetscObjectGetComm((PetscObject)part, &comm));
 76:   PetscCallMPI(MPI_Comm_size(comm, &size));
 77:   /* Check grid */
 78:   for (i = 0; i < 3; ++i) Np *= nodes[i] * procs[i];
 79:   PetscCheck(nparts == Np, comm, PETSC_ERR_ARG_INCOMP, "Number of partitions %" PetscInt_FMT " != %" PetscInt_FMT " grid size", nparts, Np);
 80:   PetscCheck(nparts == size, comm, PETSC_ERR_ARG_INCOMP, "Number of partitions %" PetscInt_FMT " != %d processes", nparts, size);
 81:   PetscCheck(numVertices % nparts == 0, comm, PETSC_ERR_ARG_INCOMP, "Number of cells %" PetscInt_FMT " is not divisible by number of partitions %" PetscInt_FMT, numVertices, nparts);
 82:   for (i = 0; i < p->gridDim; ++i) cells[i] = nodes[i] * procs[i];
 83:   Nr = numVertices / nparts;
 84:   while (Nr > 1) {
 85:     for (i = 0; i < p->gridDim; ++i) {
 86:       cells[i] *= 2;
 87:       Nr /= 2;
 88:     }
 89:   }
 90:   PetscCheck(!numVertices || Nr == 1, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Odd number of cells %" PetscInt_FMT ". Must be nprocs*2^k", numVertices);
 91:   for (i = 0; i < p->gridDim; ++i) {
 92:     PetscCheck(cells[i] % (nodes[i] * procs[i]) == 0, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "dir %" PetscInt_FMT ". Number of cells (%" PetscInt_FMT ") mod number of processors %" PetscInt_FMT, i, cells[i], nodes[i] * procs[i]);
 93:     pcells[i] = cells[i] / (nodes[i] * procs[i]);
 94:   }
 95:   /* Compute sizes */
 96:   for (np = 0; np < nparts; ++np) PetscCall(PetscSectionSetDof(partSection, np, numVertices / nparts));
 97:   PetscCall(PetscSectionSetUp(partSection));
 98:   PetscCall(PetscCalloc1(nparts, &offsets));
 99:   for (np = 0; np < nparts; ++np) PetscCall(PetscSectionGetOffset(partSection, np, &offsets[np]));
100:   if (!numVertices) pcells[0] = pcells[1] = pcells[2] = 0;
101:   /* Compute partition */
102:   PetscCall(PetscMalloc1(numVertices, &cellproc));
103:   for (nk = 0; nk < nodes[2]; ++nk) {
104:     for (nj = 0; nj < nodes[1]; ++nj) {
105:       for (ni = 0; ni < nodes[0]; ++ni) {
106:         const PetscInt nid = (nk * nodes[1] + nj) * nodes[0] + ni;

108:         for (pk = 0; pk < procs[2]; ++pk) {
109:           for (pj = 0; pj < procs[1]; ++pj) {
110:             for (pi = 0; pi < procs[0]; ++pi) {
111:               const PetscInt pid = ((nid * procs[2] + pk) * procs[1] + pj) * procs[0] + pi;

113:               /* Assume that cells are originally numbered lexicographically */
114:               for (ck = 0; ck < pcells[2]; ++ck) {
115:                 for (cj = 0; cj < pcells[1]; ++cj) {
116:                   for (ci = 0; ci < pcells[0]; ++ci) {
117:                     const PetscInt cid = (((nk * procs[2] + pk) * pcells[2] + ck) * cells[1] + ((nj * procs[1] + pj) * pcells[1] + cj)) * cells[0] + (ni * procs[0] + pi) * pcells[0] + ci;

119:                     cellproc[offsets[pid]++] = cid;
120:                   }
121:                 }
122:               }
123:             }
124:           }
125:         }
126:       }
127:     }
128:   }
129:   for (np = 1; np < nparts; ++np) PetscCheck(offsets[np] - offsets[np - 1] == numVertices / nparts, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Offset %" PetscInt_FMT " != %" PetscInt_FMT " partition size", offsets[np], numVertices / nparts);
130:   PetscCall(PetscFree(offsets));
131:   PetscCall(ISCreateGeneral(PETSC_COMM_SELF, numVertices, cellproc, PETSC_OWN_POINTER, partition));
132:   PetscFunctionReturn(PETSC_SUCCESS);
133: }

135: static PetscErrorCode PetscPartitionerPartition_Simple(PetscPartitioner part, PetscInt nparts, PetscInt numVertices, PetscInt start[], PetscInt adjacency[], PetscSection vertSection, PetscSection edgeSection, PetscSection targetSection, PetscSection partSection, IS *partition)
136: {
137:   PetscPartitioner_Simple *p = (PetscPartitioner_Simple *)part->data;
138:   MPI_Comm                 comm;
139:   PetscInt                 np, *tpwgts = NULL, sumw = 0, numVerticesGlobal = 0;
140:   PetscMPIInt              size;

142:   PetscFunctionBegin;
143:   if (p->useGrid) {
144:     PetscCall(PetscPartitionerPartition_Simple_Grid(part, nparts, numVertices, start, adjacency, vertSection, targetSection, partSection, partition));
145:     PetscFunctionReturn(PETSC_SUCCESS);
146:   }
147:   if (vertSection) PetscCall(PetscInfo(part, "PETSCPARTITIONERSIMPLE ignores vertex weights\n"));
148:   PetscCall(PetscObjectGetComm((PetscObject)part, &comm));
149:   PetscCallMPI(MPI_Comm_size(comm, &size));
150:   if (targetSection) {
151:     PetscCallMPI(MPIU_Allreduce(&numVertices, &numVerticesGlobal, 1, MPIU_INT, MPI_SUM, comm));
152:     PetscCall(PetscCalloc1(nparts, &tpwgts));
153:     for (np = 0; np < nparts; ++np) {
154:       PetscCall(PetscSectionGetDof(targetSection, np, &tpwgts[np]));
155:       sumw += tpwgts[np];
156:     }
157:     if (sumw) {
158:       PetscInt m, mp;
159:       for (np = 0; np < nparts; ++np) tpwgts[np] = (tpwgts[np] * numVerticesGlobal) / sumw;
160:       for (np = 0, m = -1, mp = 0, sumw = 0; np < nparts; ++np) {
161:         if (m < tpwgts[np]) {
162:           m  = tpwgts[np];
163:           mp = np;
164:         }
165:         sumw += tpwgts[np];
166:       }
167:       if (sumw != numVerticesGlobal) tpwgts[mp] += numVerticesGlobal - sumw;
168:     }
169:     if (!sumw) PetscCall(PetscFree(tpwgts));
170:   }

172:   PetscCall(ISCreateStride(PETSC_COMM_SELF, numVertices, 0, 1, partition));
173:   if (size == 1) {
174:     if (tpwgts) {
175:       for (np = 0; np < nparts; ++np) PetscCall(PetscSectionSetDof(partSection, np, tpwgts[np]));
176:     } else {
177:       for (np = 0; np < nparts; ++np) PetscCall(PetscSectionSetDof(partSection, np, numVertices / nparts + ((numVertices % nparts) > np)));
178:     }
179:   } else {
180:     if (tpwgts) {
181:       Vec          v;
182:       PetscScalar *array;
183:       PetscInt     st, j;
184:       PetscMPIInt  rank;

186:       PetscCall(VecCreate(comm, &v));
187:       PetscCall(VecSetSizes(v, numVertices, numVerticesGlobal));
188:       PetscCall(VecSetType(v, VECSTANDARD));
189:       PetscCallMPI(MPI_Comm_rank(comm, &rank));
190:       for (np = 0, st = 0; np < nparts; ++np) {
191:         if (rank == np || (rank == size - 1 && size < nparts && np >= size)) {
192:           for (j = 0; j < tpwgts[np]; j++) PetscCall(VecSetValue(v, st + j, np, INSERT_VALUES));
193:         }
194:         st += tpwgts[np];
195:       }
196:       PetscCall(VecAssemblyBegin(v));
197:       PetscCall(VecAssemblyEnd(v));
198:       PetscCall(VecGetArray(v, &array));
199:       for (j = 0; j < numVertices; ++j) PetscCall(PetscSectionAddDof(partSection, PetscRealPart(array[j]), 1));
200:       PetscCall(VecRestoreArray(v, &array));
201:       PetscCall(VecDestroy(&v));
202:     } else {
203:       PetscMPIInt rank;
204:       PetscInt    nvGlobal, *offsets, myFirst, myLast;

206:       PetscCall(PetscMalloc1(size + 1, &offsets));
207:       offsets[0] = 0;
208:       PetscCallMPI(MPI_Allgather(&numVertices, 1, MPIU_INT, &offsets[1], 1, MPIU_INT, comm));
209:       for (np = 2; np <= size; np++) offsets[np] += offsets[np - 1];
210:       nvGlobal = offsets[size];
211:       PetscCallMPI(MPI_Comm_rank(comm, &rank));
212:       myFirst = offsets[rank];
213:       myLast  = offsets[rank + 1] - 1;
214:       PetscCall(PetscFree(offsets));
215:       if (numVertices) {
216:         PetscInt firstPart = 0, firstLargePart = 0;
217:         PetscInt lastPart = 0, lastLargePart = 0;
218:         PetscInt rem    = nvGlobal % nparts;
219:         PetscInt pSmall = nvGlobal / nparts;
220:         PetscInt pBig   = nvGlobal / nparts + 1;

222:         if (rem) {
223:           firstLargePart = myFirst / pBig;
224:           lastLargePart  = myLast / pBig;

226:           if (firstLargePart < rem) {
227:             firstPart = firstLargePart;
228:           } else {
229:             firstPart = rem + (myFirst - (rem * pBig)) / pSmall;
230:           }
231:           if (lastLargePart < rem) {
232:             lastPart = lastLargePart;
233:           } else {
234:             lastPart = rem + (myLast - (rem * pBig)) / pSmall;
235:           }
236:         } else {
237:           firstPart = myFirst / (nvGlobal / nparts);
238:           lastPart  = myLast / (nvGlobal / nparts);
239:         }

241:         for (np = firstPart; np <= lastPart; np++) {
242:           PetscInt PartStart = np * (nvGlobal / nparts) + PetscMin(nvGlobal % nparts, np);
243:           PetscInt PartEnd   = (np + 1) * (nvGlobal / nparts) + PetscMin(nvGlobal % nparts, np + 1);

245:           PartStart = PetscMax(PartStart, myFirst);
246:           PartEnd   = PetscMin(PartEnd, myLast + 1);
247:           PetscCall(PetscSectionSetDof(partSection, np, PartEnd - PartStart));
248:         }
249:       }
250:     }
251:   }
252:   PetscCall(PetscFree(tpwgts));
253:   PetscFunctionReturn(PETSC_SUCCESS);
254: }

256: static PetscErrorCode PetscPartitionerInitialize_Simple(PetscPartitioner part)
257: {
258:   PetscFunctionBegin;
259:   part->noGraph             = PETSC_TRUE;
260:   part->ops->view           = PetscPartitionerView_Simple;
261:   part->ops->setfromoptions = PetscPartitionerSetFromOptions_Simple;
262:   part->ops->destroy        = PetscPartitionerDestroy_Simple;
263:   part->ops->partition      = PetscPartitionerPartition_Simple;
264:   PetscFunctionReturn(PETSC_SUCCESS);
265: }

267: /*MC
268:   PETSCPARTITIONERSIMPLE = "simple" - A PetscPartitioner object

270:   Level: intermediate

272: .seealso: `PetscPartitionerType`, `PetscPartitionerCreate()`, `PetscPartitionerSetType()`
273: M*/

275: PETSC_EXTERN PetscErrorCode PetscPartitionerCreate_Simple(PetscPartitioner part)
276: {
277:   PetscPartitioner_Simple *p;

279:   PetscFunctionBegin;
281:   PetscCall(PetscNew(&p));
282:   p->gridDim = -1;
283:   part->data = p;

285:   PetscCall(PetscPartitionerInitialize_Simple(part));
286:   PetscFunctionReturn(PETSC_SUCCESS);
287: }