/***********************************************************************************
* This function is the entry point of the parallel kmetis algorithm that uses
* coordinates to compute an initial graph distribution.
************************************************************************************/
void ParMETIS_V3_PartGeomKway(idxtype *vtxdist, idxtype *xadj, idxtype *adjncy,
idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *ndims,
float *xyz, int *ncon, int *nparts, float *tpwgts, float *ubvec,
int *options, int *edgecut, idxtype *part, MPI_Comm *comm)
{
int h, i, j;
int nvtxs = -1, npes, mype;
int uwgtflag, cut, gcut, maxnvtxs;
int ltvwgts[MAXNCON];
int moptions[10];
CtrlType ctrl;
idxtype *uvwgt;
WorkSpaceType wspace;
GraphType *graph, *mgraph;
float avg, maximb, balance, *mytpwgts;
int seed, dbglvl = 0;
int iwgtflag, inumflag, incon, inparts, ioptions[10];
float *itpwgts, iubvec[MAXNCON];
MPI_Comm_size(*comm, &npes);
MPI_Comm_rank(*comm, &mype);
/********************************/
/* Try and take care bad inputs */
/********************************/
if (options != NULL && options[0] == 1)
dbglvl = options[PMV3_OPTION_DBGLVL];
CheckInputs(STATIC_PARTITION, npes, dbglvl, wgtflag, &iwgtflag, numflag, &inumflag,
ncon, &incon, nparts, &inparts, tpwgts, &itpwgts, ubvec, iubvec,
NULL, NULL, options, ioptions, part, comm);
/*********************************/
/* Take care the nparts = 1 case */
/*********************************/
if (inparts <= 1) {
idxset(vtxdist[mype+1]-vtxdist[mype], 0, part);
*edgecut = 0;
return;
}
/******************************/
/* Take care of npes = 1 case */
/******************************/
if (npes == 1 && inparts > 1) {
moptions[0] = 0;
nvtxs = vtxdist[1];
if (incon == 1) {
METIS_WPartGraphKway(&nvtxs, xadj, adjncy, vwgt, adjwgt, &iwgtflag, &inumflag,
&inparts, itpwgts, moptions, edgecut, part);
}
else {
/* ADD: this is because METIS does not support tpwgts for all constraints */
mytpwgts = fmalloc(inparts, "mytpwgts");
for (i=0; i<inparts; i++)
mytpwgts[i] = itpwgts[i*incon];
moptions[7] = -1;
METIS_mCPartGraphRecursive2(&nvtxs, &incon, xadj, adjncy, vwgt, adjwgt, &iwgtflag,
&inumflag, &inparts, mytpwgts, moptions, edgecut, part);
free(mytpwgts);
}
return;
}
if (inumflag == 1)
ChangeNumbering(vtxdist, xadj, adjncy, part, npes, mype, 1);
/*****************************/
/* Set up control structures */
/*****************************/
if (ioptions[0] == 1) {
dbglvl = ioptions[PMV3_OPTION_DBGLVL];
seed = ioptions[PMV3_OPTION_SEED];
}
else {
dbglvl = GLOBAL_DBGLVL;
seed = GLOBAL_SEED;
}
SetUpCtrl(&ctrl, npes, dbglvl, *comm);
ctrl.CoarsenTo = amin(vtxdist[npes]+1, 25*incon*amax(npes, inparts));
ctrl.seed = (seed == 0) ? mype : seed*mype;
ctrl.sync = GlobalSEMax(&ctrl, seed);
ctrl.partType = STATIC_PARTITION;
ctrl.ps_relation = -1;
ctrl.tpwgts = itpwgts;
scopy(incon, iubvec, ctrl.ubvec);
uwgtflag = iwgtflag|2;
uvwgt = idxsmalloc(vtxdist[mype+1]-vtxdist[mype], 1, "uvwgt");
graph = Moc_SetUpGraph(&ctrl, 1, vtxdist, xadj, uvwgt, adjncy, adjwgt, &uwgtflag);
free(graph->nvwgt); graph->nvwgt = NULL;
PreAllocateMemory(&ctrl, graph, &wspace);
/*=================================================================
* Compute the initial npes-way partitioning geometric partitioning
=================================================================*/
IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl));
IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm));
IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr));
Coordinate_Partition(&ctrl, graph, *ndims, xyz, 1, &wspace);
IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm));
IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr));
IFSET(ctrl.dbglvl, DBG_TIME, PrintTimingInfo(&ctrl));
/*=================================================================
* Move the graph according to the partitioning
=================================================================*/
IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm));
IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.MoveTmr));
free(uvwgt);
graph->vwgt = ((iwgtflag&2) != 0) ? vwgt : idxsmalloc(graph->nvtxs*incon, 1, "vwgt");
graph->ncon = incon;
j = ctrl.nparts;
ctrl.nparts = ctrl.npes;
mgraph = Moc_MoveGraph(&ctrl, graph, &wspace);
ctrl.nparts = j;
/**********************************************************/
/* Do the same functionality as Moc_SetUpGraph for mgraph */
/**********************************************************/
/* compute tvwgts */
for (j=0; j<incon; j++)
ltvwgts[j] = 0;
for (i=0; i<graph->nvtxs; i++)
for (j=0; j<incon; j++)
ltvwgts[j] += mgraph->vwgt[i*incon+j];
for (j=0; j<incon; j++)
ctrl.tvwgts[j] = GlobalSESum(&ctrl, ltvwgts[j]);
/* check for zero wgt constraints */
for (i=0; i<incon; i++) {
/* ADD: take care of the case in which tvwgts is zero */
if (ctrl.tvwgts[i] == 0) {
if (ctrl.mype == 0) printf("ERROR: sum weight for constraint %d is zero\n", i);
MPI_Finalize();
exit(-1);
}
}
/* compute nvwgt */
mgraph->nvwgt = fmalloc(mgraph->nvtxs*incon, "mgraph->nvwgt");
for (i=0; i<mgraph->nvtxs; i++)
for (j=0; j<incon; j++)
mgraph->nvwgt[i*incon+j] = (float)(mgraph->vwgt[i*incon+j]) / (float)(ctrl.tvwgts[j]);
IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm));
IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.MoveTmr));
if (ctrl.dbglvl&DBG_INFO) {
cut = 0;
for (i=0; i<graph->nvtxs; i++)
for (j=graph->xadj[i]; j<graph->xadj[i+1]; j++)
if (graph->where[i] != graph->where[graph->adjncy[j]])
cut += graph->adjwgt[j];
gcut = GlobalSESum(&ctrl, cut)/2;
maxnvtxs = GlobalSEMax(&ctrl, mgraph->nvtxs);
balance = (float)(maxnvtxs)/((float)(graph->gnvtxs)/(float)(npes));
rprintf(&ctrl, "XYZ Cut: %6d \tBalance: %6.3f [%d %d %d]\n",
gcut, balance, maxnvtxs, graph->gnvtxs, npes);
}
/*=================================================================
* Set up the newly moved graph
=================================================================*/
IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm));
IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr));
ctrl.nparts = inparts;
FreeWSpace(&wspace);
PreAllocateMemory(&ctrl, mgraph, &wspace);
/*=======================================================
* Now compute the partition of the moved graph
=======================================================*/
if (vtxdist[npes] < SMALLGRAPH || vtxdist[npes] < npes*20 || GlobalSESum(&ctrl, mgraph->nedges) == 0) {
IFSET(ctrl.dbglvl, DBG_INFO, rprintf(&ctrl, "Partitioning a graph of size %d serially\n", vtxdist[npes]));
PartitionSmallGraph(&ctrl, mgraph, &wspace);
}
else {
Moc_Global_Partition(&ctrl, mgraph, &wspace);
}
ParallelReMapGraph(&ctrl, mgraph, &wspace);
/* Invert the ordering back to the original graph */
ctrl.nparts = npes;
ProjectInfoBack(&ctrl, graph, part, mgraph->where, &wspace);
*edgecut = mgraph->mincut;
IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm));
IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr));
/*******************/
/* Print out stats */
/*******************/
IFSET(ctrl.dbglvl, DBG_TIME, PrintTimingInfo(&ctrl));
IFSET(ctrl.dbglvl, DBG_TIME, MPI_Barrier(ctrl.gcomm));
if (ctrl.dbglvl&DBG_INFO) {
rprintf(&ctrl, "Final %d-way CUT: %6d \tBalance: ", inparts, mgraph->mincut);
avg = 0.0;
for (h=0; h<incon; h++) {
maximb = 0.0;
for (i=0; i<inparts; i++)
maximb = amax(maximb, mgraph->gnpwgts[i*incon+h]/itpwgts[i*incon+h]);
avg += maximb;
rprintf(&ctrl, "%.3f ", maximb);
}
rprintf(&ctrl, " avg: %.3f\n", avg/(float)incon);
}
GKfree((void **)&itpwgts, LTERM);
FreeGraph(mgraph);
FreeInitialGraphAndRemap(graph, iwgtflag);
FreeWSpace(&wspace);
FreeCtrl(&ctrl);
if (inumflag == 1)
ChangeNumbering(vtxdist, xadj, adjncy, part, npes, mype, 0);
}
/***********************************************************************************
* This function is the entry point of the parallel kmetis algorithm that uses
* coordinates to compute an initial graph distribution.
************************************************************************************/
int ParMETIS_V3_PartGeomKway(idx_t *vtxdist, idx_t *xadj, idx_t *adjncy,
idx_t *vwgt, idx_t *adjwgt, idx_t *wgtflag, idx_t *numflag, idx_t *ndims,
real_t *xyz, idx_t *ncon, idx_t *nparts, real_t *tpwgts, real_t *ubvec,
idx_t *options, idx_t *edgecut, idx_t *part, MPI_Comm *comm)
{
idx_t h, i, j, npes, mype, status, nvtxs, seed, dbglvl;
idx_t cut, gcut, maxnvtxs;
idx_t moptions[METIS_NOPTIONS];
ctrl_t *ctrl;
graph_t *graph, *mgraph;
real_t balance;
size_t curmem;
/* Check the input parameters and return if an error */
status = CheckInputsPartGeomKway(vtxdist, xadj, adjncy, vwgt, adjwgt, wgtflag,
numflag, ndims, xyz, ncon, nparts, tpwgts, ubvec, options,
edgecut, part, comm);
if (GlobalSEMinComm(*comm, status) == 0)
return METIS_ERROR;
status = METIS_OK;
gk_malloc_init();
curmem = gk_GetCurMemoryUsed();
/* Setup the ctrl */
ctrl = SetupCtrl(PARMETIS_OP_GKMETIS, options, *ncon, *nparts, tpwgts, ubvec, *comm);
npes = ctrl->npes;
mype = ctrl->mype;
/* Take care the nparts == 1 case */
if (*nparts == 1) {
iset(vtxdist[mype+1]-vtxdist[mype], (*numflag == 0 ? 0 : 1), part);
*edgecut = 0;
goto DONE;
}
/* Take care of npes == 1 case */
if (npes == 1) {
nvtxs = vtxdist[1] - vtxdist[0]; /* subtraction is required when numflag==1 */
METIS_SetDefaultOptions(moptions);
moptions[METIS_OPTION_NUMBERING] = *numflag;
status = METIS_PartGraphKway(&nvtxs, ncon, xadj, adjncy, vwgt, NULL, adjwgt,
nparts, tpwgts, ubvec, moptions, edgecut, part);
goto DONE;
}
/* Setup the graph */
if (*numflag > 0)
ChangeNumbering(vtxdist, xadj, adjncy, part, npes, mype, 1);
graph = SetupGraph(ctrl, *ncon, vtxdist, xadj, vwgt, NULL, adjncy, adjwgt, *wgtflag);
gk_free((void **)&graph->nvwgt, LTERM);
/* Allocate the workspace */
AllocateWSpace(ctrl, 10*graph->nvtxs);
/* Compute the initial npes-way partitioning geometric partitioning */
STARTTIMER(ctrl, ctrl->TotalTmr);
Coordinate_Partition(ctrl, graph, *ndims, xyz, 1);
STOPTIMER(ctrl, ctrl->TotalTmr);
/* Move the graph according to the partitioning */
STARTTIMER(ctrl, ctrl->MoveTmr);
ctrl->nparts = npes;
mgraph = MoveGraph(ctrl, graph);
ctrl->nparts = *nparts;
SetupGraph_nvwgts(ctrl, mgraph); /* compute nvwgts for the moved graph */
if (ctrl->dbglvl&DBG_INFO) {
CommInterfaceData(ctrl, graph, graph->where, graph->where+graph->nvtxs);
for (cut=0, i=0; i<graph->nvtxs; i++) {
for (j=graph->xadj[i]; j<graph->xadj[i+1]; j++) {
if (graph->where[i] != graph->where[graph->adjncy[j]])
cut += graph->adjwgt[j];
}
}
gcut = GlobalSESum(ctrl, cut)/2;
maxnvtxs = GlobalSEMax(ctrl, mgraph->nvtxs);
balance = (real_t)(maxnvtxs)/((real_t)(graph->gnvtxs)/(real_t)(npes));
rprintf(ctrl, "XYZ Cut: %6"PRIDX" \tBalance: %6.3"PRREAL" [%"PRIDX" %"PRIDX" %"PRIDX"]\n",
gcut, balance, maxnvtxs, graph->gnvtxs, npes);
}
STOPTIMER(ctrl, ctrl->MoveTmr);
/* Compute the partition of the moved graph */
STARTTIMER(ctrl, ctrl->TotalTmr);
ctrl->CoarsenTo = gk_min(vtxdist[npes]+1, 25*(*ncon)*gk_max(npes, *nparts));
if (vtxdist[npes] < SMALLGRAPH
|| vtxdist[npes] < npes*20
|| GlobalSESum(ctrl, mgraph->nedges) == 0) { /* serially */
IFSET(ctrl->dbglvl, DBG_INFO,
rprintf(ctrl, "Partitioning a graph of size %"PRIDX" serially\n", vtxdist[npes]));
PartitionSmallGraph(ctrl, mgraph);
}
else { /* in parallel */
Global_Partition(ctrl, mgraph);
}
ParallelReMapGraph(ctrl, mgraph);
/* Invert the ordering back to the original graph */
ctrl->nparts = npes;
ProjectInfoBack(ctrl, graph, part, mgraph->where);
ctrl->nparts = *nparts;
*edgecut = mgraph->mincut;
STOPTIMER(ctrl, ctrl->TotalTmr);
/* Print some stats */
IFSET(ctrl->dbglvl, DBG_TIME, PrintTimingInfo(ctrl));
IFSET(ctrl->dbglvl, DBG_TIME, gkMPI_Barrier(ctrl->gcomm));
IFSET(ctrl->dbglvl, DBG_INFO, PrintPostPartInfo(ctrl, mgraph, 0));
FreeGraph(mgraph);
FreeInitialGraphAndRemap(graph);
if (*numflag > 0)
ChangeNumbering(vtxdist, xadj, adjncy, part, npes, mype, 0);
DONE:
FreeCtrl(&ctrl);
if (gk_GetCurMemoryUsed() - curmem > 0) {
printf("ParMETIS appears to have a memory leak of %zdbytes. Report this.\n",
(ssize_t)(gk_GetCurMemoryUsed() - curmem));
}
gk_malloc_cleanup(0);
return (int)status;
}