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openfoam/applications/utilities/parallelProcessing/decompositionMethods/parMetisDecomp/ParMetis-3.1/ParMETISLib/initbalance.c
OpenFOAM-admin 3170c7c0c9 Creation of OpenFOAM-dev repository 15/04/2008
2008-04-15 18:56:58 +01:00

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/*
* Copyright 1997, Regents of the University of Minnesota
*
* initbalance.c
*
* This file contains code that computes an initial partitioning
*
* Started 3/4/96
* George
*
* $Id: initbalance.c,v 1.4 2003/07/30 21:18:52 karypis Exp $
*/
#include <parmetislib.h>
/*************************************************************************
* This function is the entry point of the initial balancing algorithm.
* This algorithm assembles the graph to all the processors and preceeds
* with the balancing step.
**************************************************************************/
void Balance_Partition(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace)
{
int i, j, mype, npes, nvtxs, nedges, ncon;
idxtype *vtxdist, *xadj, *adjncy, *adjwgt, *vwgt, *vsize;
idxtype *part, *lwhere, *home;
GraphType *agraph, cgraph;
CtrlType myctrl;
int lnparts, fpart, fpe, lnpes, ngroups, srnpes, srmype;
int twoparts=2, numflag = 0, wgtflag = 3, moptions[10], edgecut, max_cut;
int sr_pe, gd_pe, sr, gd, who_wins, *rcounts, *rdispls;
float my_cut, my_totalv, my_cost = -1.0, my_balance = -1.0, wsum;
float rating, max_rating, your_cost = -1.0, your_balance = -1.0;
float lbvec[MAXNCON], lbsum, min_lbsum, *mytpwgts, mytpwgts2[2], buffer[2];
MPI_Status status;
MPI_Comm ipcomm, srcomm;
struct {
float cost;
int rank;
} lpecost, gpecost;
IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->InitPartTmr));
vtxdist = graph->vtxdist;
agraph = Moc_AssembleAdaptiveGraph(ctrl, graph, wspace);
nvtxs = cgraph.nvtxs = agraph->nvtxs;
nedges = cgraph.nedges = agraph->nedges;
ncon = cgraph.ncon = agraph->ncon;
xadj = cgraph.xadj = idxmalloc(nvtxs*(5+ncon)+1+nedges*2, "U_IP: xadj");
vwgt = cgraph.vwgt = xadj + nvtxs+1;
vsize = cgraph.vsize = xadj + nvtxs*(1+ncon)+1;
cgraph.where = agraph->where = part = xadj + nvtxs*(2+ncon)+1;
lwhere = xadj + nvtxs*(3+ncon)+1;
home = xadj + nvtxs*(4+ncon)+1;
adjncy = cgraph.adjncy = xadj + nvtxs*(5+ncon)+1;
adjwgt = cgraph.adjwgt = xadj + nvtxs*(5+ncon)+1 + nedges;
/* ADD: this assumes that tpwgts for all constraints is the same */
/* ADD: this is necessary because serial metis does not support the general case */
mytpwgts = fsmalloc(ctrl->nparts, 0.0, "mytpwgts");
for (i=0; i<ctrl->nparts; i++)
for (j=0; j<ncon; j++)
mytpwgts[i] += ctrl->tpwgts[i*ncon+j];
for (i=0; i<ctrl->nparts; i++)
mytpwgts[i] /= (float)ncon;
idxcopy(nvtxs+1, agraph->xadj, xadj);
idxcopy(nvtxs*ncon, agraph->vwgt, vwgt);
idxcopy(nvtxs, agraph->vsize, vsize);
idxcopy(nedges, agraph->adjncy, adjncy);
idxcopy(nedges, agraph->adjwgt, adjwgt);
/****************************************/
/****************************************/
if (ctrl->ps_relation == DISCOUPLED) {
rcounts = imalloc(ctrl->npes, "rcounts");
rdispls = imalloc(ctrl->npes+1, "rdispls");
for (i=0; i<ctrl->npes; i++) {
rdispls[i] = rcounts[i] = vtxdist[i+1]-vtxdist[i];
}
MAKECSR(i, ctrl->npes, rdispls);
MPI_Allgatherv((void *)graph->home, graph->nvtxs, IDX_DATATYPE,
(void *)part, rcounts, rdispls, IDX_DATATYPE, ctrl->comm);
for (i=0; i<agraph->nvtxs; i++)
home[i] = part[i];
GKfree((void **)&rcounts, (void **)&rdispls, LTERM);
}
else {
for (i=0; i<ctrl->npes; i++)
for (j=vtxdist[i]; j<vtxdist[i+1]; j++)
part[j] = home[j] = i;
}
/* Ensure that the initial partitioning is legal */
for (i=0; i<agraph->nvtxs; i++) {
if (part[i] >= ctrl->nparts)
part[i] = home[i] = part[i] % ctrl->nparts;
if (part[i] < 0)
part[i] = home[i] = (-1*part[i]) % ctrl->nparts;
}
/****************************************/
/****************************************/
IFSET(ctrl->dbglvl, DBG_REFINEINFO, Moc_ComputeSerialBalance(ctrl, agraph, agraph->where, lbvec));
IFSET(ctrl->dbglvl, DBG_REFINEINFO, rprintf(ctrl, "input cut: %d, balance: ", ComputeSerialEdgeCut(agraph)));
for (i=0; i<agraph->ncon; i++)
IFSET(ctrl->dbglvl, DBG_REFINEINFO, rprintf(ctrl, "%.3f ", lbvec[i]));
IFSET(ctrl->dbglvl, DBG_REFINEINFO, rprintf(ctrl, "\n"));
/****************************************/
/* Split the processors into two groups */
/****************************************/
sr = (ctrl->mype % 2 == 0) ? 1 : 0;
gd = (ctrl->mype % 2 == 1) ? 1 : 0;
if (graph->ncon > MAX_NCON_FOR_DIFFUSION || ctrl->npes == 1) {
sr = 1;
gd = 0;
}
sr_pe = 0;
gd_pe = 1;
MPI_Comm_split(ctrl->gcomm, sr, 0, &ipcomm);
MPI_Comm_rank(ipcomm, &mype);
MPI_Comm_size(ipcomm, &npes);
myctrl.dbglvl = 0;
myctrl.mype = mype;
myctrl.npes = npes;
myctrl.comm = ipcomm;
myctrl.sync = ctrl->sync;
myctrl.seed = ctrl->seed;
myctrl.nparts = ctrl->nparts;
myctrl.ipc_factor = ctrl->ipc_factor;
myctrl.redist_factor = ctrl->redist_base;
myctrl.partType = ADAPTIVE_PARTITION;
myctrl.ps_relation = DISCOUPLED;
myctrl.tpwgts = ctrl->tpwgts;
icopy(ncon, ctrl->tvwgts, myctrl.tvwgts);
icopy(ncon, ctrl->ubvec, myctrl.ubvec);
if (sr == 1) {
/*******************************************/
/* Half of the processors do scratch-remap */
/*******************************************/
ngroups = amax(amin(RIP_SPLIT_FACTOR, npes), 1);
MPI_Comm_split(ipcomm, mype % ngroups, 0, &srcomm);
MPI_Comm_rank(srcomm, &srmype);
MPI_Comm_size(srcomm, &srnpes);
moptions[0] = 0;
moptions[7] = ctrl->sync + (mype % ngroups) + 1;
idxset(nvtxs, 0, lwhere);
lnparts = ctrl->nparts;
fpart = fpe = 0;
lnpes = srnpes;
while (lnpes > 1 && lnparts > 1) {
ASSERT(ctrl, agraph->nvtxs > 1);
/* Determine the weights of the partitions */
mytpwgts2[0] = ssum(lnparts/2, mytpwgts+fpart);
mytpwgts2[1] = 1.0-mytpwgts2[0];
if (agraph->ncon == 1) {
METIS_WPartGraphKway2(&agraph->nvtxs, agraph->xadj, agraph->adjncy, agraph->vwgt,
agraph->adjwgt, &wgtflag, &numflag, &twoparts, mytpwgts2, moptions, &edgecut,
part);
}
else {
METIS_mCPartGraphRecursive2(&agraph->nvtxs, &ncon, agraph->xadj, agraph->adjncy,
agraph->vwgt, agraph->adjwgt, &wgtflag, &numflag, &twoparts, mytpwgts2,
moptions, &edgecut, part);
}
wsum = ssum(lnparts/2, mytpwgts+fpart);
sscale(lnparts/2, 1.0/wsum, mytpwgts+fpart);
sscale(lnparts-lnparts/2, 1.0/(1.0-wsum), mytpwgts+fpart+lnparts/2);
/* I'm picking the left branch */
if (srmype < fpe+lnpes/2) {
Moc_KeepPart(agraph, wspace, part, 0);
lnpes = lnpes/2;
lnparts = lnparts/2;
}
else {
Moc_KeepPart(agraph, wspace, part, 1);
fpart = fpart + lnparts/2;
fpe = fpe + lnpes/2;
lnpes = lnpes - lnpes/2;
lnparts = lnparts - lnparts/2;
}
}
/* In case srnpes is greater than or equal to nparts */
if (lnparts == 1) {
/* Only the first process will assign labels (for the reduction to work) */
if (srmype == fpe) {
for (i=0; i<agraph->nvtxs; i++)
lwhere[agraph->label[i]] = fpart;
}
}
/* In case srnpes is smaller than nparts */
else {
if (ncon == 1)
METIS_WPartGraphKway2(&agraph->nvtxs, agraph->xadj, agraph->adjncy, agraph->vwgt,
agraph->adjwgt, &wgtflag, &numflag, &lnparts, mytpwgts+fpart, moptions,
&edgecut, part);
else
METIS_mCPartGraphRecursive2(&agraph->nvtxs, &ncon, agraph->xadj, agraph->adjncy,
agraph->vwgt, agraph->adjwgt, &wgtflag, &numflag, &lnparts, mytpwgts+fpart,
moptions, &edgecut, part);
for (i=0; i<agraph->nvtxs; i++)
lwhere[agraph->label[i]] = fpart + part[i];
}
MPI_Allreduce((void *)lwhere, (void *)part, nvtxs, IDX_DATATYPE, MPI_SUM, srcomm);
edgecut = ComputeSerialEdgeCut(&cgraph);
Moc_ComputeSerialBalance(ctrl, &cgraph, part, lbvec);
lbsum = ssum(ncon, lbvec);
MPI_Allreduce((void *)&edgecut, (void *)&max_cut, 1, MPI_INT, MPI_MAX, ipcomm);
MPI_Allreduce((void *)&lbsum, (void *)&min_lbsum, 1, MPI_FLOAT, MPI_MIN, ipcomm);
lpecost.rank = ctrl->mype;
lpecost.cost = lbsum;
if (min_lbsum < UNBALANCE_FRACTION * (float)(ncon)) {
if (lbsum < UNBALANCE_FRACTION * (float)(ncon))
lpecost.cost = (float)edgecut;
else
lpecost.cost = (float)max_cut + lbsum;
}
MPI_Allreduce((void *)&lpecost, (void *)&gpecost, 1, MPI_FLOAT_INT, MPI_MINLOC, ipcomm);
if (ctrl->mype == gpecost.rank && ctrl->mype != sr_pe) {
MPI_Send((void *)part, nvtxs, IDX_DATATYPE, sr_pe, 1, ctrl->comm);
}
if (ctrl->mype != gpecost.rank && ctrl->mype == sr_pe) {
MPI_Recv((void *)part, nvtxs, IDX_DATATYPE, gpecost.rank, 1, ctrl->comm, &status);
}
if (ctrl->mype == sr_pe) {
idxcopy(nvtxs, part, lwhere);
SerialRemap(&cgraph, ctrl->nparts, home, lwhere, part, ctrl->tpwgts);
}
MPI_Comm_free(&srcomm);
}
/**************************************/
/* The other half do global diffusion */
/**************************************/
else {
/******************************************************************/
/* The next stmt is required to balance out the sr MPI_Comm_split */
/******************************************************************/
MPI_Comm_split(ipcomm, MPI_UNDEFINED, 0, &srcomm);
if (ncon == 1) {
rating = WavefrontDiffusion(&myctrl, agraph, home);
Moc_ComputeSerialBalance(ctrl, &cgraph, part, lbvec);
lbsum = ssum(ncon, lbvec);
/* Determine which PE computed the best partitioning */
MPI_Allreduce((void *)&rating, (void *)&max_rating, 1, MPI_FLOAT, MPI_MAX, ipcomm);
MPI_Allreduce((void *)&lbsum, (void *)&min_lbsum, 1, MPI_FLOAT, MPI_MIN, ipcomm);
lpecost.rank = ctrl->mype;
lpecost.cost = lbsum;
if (min_lbsum < UNBALANCE_FRACTION * (float)(ncon)) {
if (lbsum < UNBALANCE_FRACTION * (float)(ncon))
lpecost.cost = rating;
else
lpecost.cost = max_rating + lbsum;
}
MPI_Allreduce((void *)&lpecost, (void *)&gpecost, 1, MPI_FLOAT_INT, MPI_MINLOC, ipcomm);
/* Now send this to the coordinating processor */
if (ctrl->mype == gpecost.rank && ctrl->mype != gd_pe)
MPI_Send((void *)part, nvtxs, IDX_DATATYPE, gd_pe, 1, ctrl->comm);
if (ctrl->mype != gpecost.rank && ctrl->mype == gd_pe)
MPI_Recv((void *)part, nvtxs, IDX_DATATYPE, gpecost.rank, 1, ctrl->comm, &status);
if (ctrl->mype == gd_pe) {
idxcopy(nvtxs, part, lwhere);
SerialRemap(&cgraph, ctrl->nparts, home, lwhere, part, ctrl->tpwgts);
}
}
else {
Moc_Diffusion(&myctrl, agraph, graph->vtxdist, agraph->where, home, wspace, N_MOC_GD_PASSES);
}
}
if (graph->ncon <= MAX_NCON_FOR_DIFFUSION) {
if (ctrl->mype == sr_pe || ctrl->mype == gd_pe) {
/********************************************************************/
/* The coordinators from each group decide on the best partitioning */
/********************************************************************/
my_cut = (float) ComputeSerialEdgeCut(&cgraph);
my_totalv = (float) Mc_ComputeSerialTotalV(&cgraph, home);
Moc_ComputeSerialBalance(ctrl, &cgraph, part, lbvec);
my_balance = ssum(cgraph.ncon, lbvec);
my_balance /= (float) cgraph.ncon;
my_cost = ctrl->ipc_factor * my_cut + REDIST_WGT * ctrl->redist_base * my_totalv;
IFSET(ctrl->dbglvl, DBG_REFINEINFO, printf("%s initial cut: %.1f, totalv: %.1f, balance: %.3f\n",
(ctrl->mype == sr_pe ? "scratch-remap" : "diffusion"), my_cut, my_totalv, my_balance));
if (ctrl->mype == gd_pe) {
buffer[0] = my_cost;
buffer[1] = my_balance;
MPI_Send((void *)buffer, 2, MPI_FLOAT, sr_pe, 1, ctrl->comm);
}
else {
MPI_Recv((void *)buffer, 2, MPI_FLOAT, gd_pe, 1, ctrl->comm, &status);
your_cost = buffer[0];
your_balance = buffer[1];
}
}
if (ctrl->mype == sr_pe) {
who_wins = gd_pe;
if ((my_balance < 1.1 && your_balance > 1.1) ||
(my_balance < 1.1 && your_balance < 1.1 && my_cost < your_cost) ||
(my_balance > 1.1 && your_balance > 1.1 && my_balance < your_balance)) {
who_wins = sr_pe;
}
}
MPI_Bcast((void *)&who_wins, 1, MPI_INT, sr_pe, ctrl->comm);
}
else {
who_wins = sr_pe;
}
MPI_Bcast((void *)part, nvtxs, IDX_DATATYPE, who_wins, ctrl->comm);
idxcopy(graph->nvtxs, part+vtxdist[ctrl->mype], graph->where);
MPI_Comm_free(&ipcomm);
GKfree((void **)&xadj, (void **)&mytpwgts, LTERM);
/* For whatever reason, FreeGraph crashes here...so explicitly free the memory.
FreeGraph(agraph);
*/
GKfree((void **)&agraph->xadj, (void **)&agraph->adjncy, (void **)&agraph->vwgt, (void **)&agraph->nvwgt, LTERM);
GKfree((void **)&agraph->vsize, (void **)&agraph->adjwgt, (void **)&agraph->label, LTERM);
GKfree((void **)&agraph, LTERM);
IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->InitPartTmr));
}
/* NOTE: this subroutine should work for static, adaptive, single-, and multi-contraint */
/*************************************************************************
* This function assembles the graph into a single processor
**************************************************************************/
GraphType *Moc_AssembleAdaptiveGraph(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace)
{
int i, j, k, l, gnvtxs, nvtxs, ncon, gnedges, nedges, gsize;
idxtype *xadj, *vwgt, *vsize, *adjncy, *adjwgt, *vtxdist, *imap;
idxtype *axadj, *aadjncy, *aadjwgt, *avwgt, *avsize = NULL, *alabel;
idxtype *mygraph, *ggraph;
int *rcounts, *rdispls, mysize;
float *anvwgt;
GraphType *agraph;
gnvtxs = graph->gnvtxs;
nvtxs = graph->nvtxs;
ncon = graph->ncon;
nedges = graph->xadj[nvtxs];
xadj = graph->xadj;
vwgt = graph->vwgt;
vsize = graph->vsize;
adjncy = graph->adjncy;
adjwgt = graph->adjwgt;
vtxdist = graph->vtxdist;
imap = graph->imap;
/*************************************************************/
/* Determine the # of idxtype to receive from each processor */
/*************************************************************/
rcounts = imalloc(ctrl->npes, "AssembleGraph: rcounts");
switch (ctrl->partType) {
case STATIC_PARTITION:
mysize = (1+ncon)*nvtxs + 2*nedges;
break;
case ADAPTIVE_PARTITION:
case REFINE_PARTITION:
mysize = (2+ncon)*nvtxs + 2*nedges;
break;
default:
printf("WARNING: bad value for ctrl->partType %d\n", ctrl->partType);
break;
}
MPI_Allgather((void *)(&mysize), 1, MPI_INT, (void *)rcounts, 1, MPI_INT, ctrl->comm);
rdispls = imalloc(ctrl->npes+1, "AssembleGraph: rdispls");
rdispls[0] = 0;
for (i=1; i<ctrl->npes+1; i++)
rdispls[i] = rdispls[i-1] + rcounts[i-1];
/* Construct the one-array storage format of the assembled graph */
mygraph = (mysize <= wspace->maxcore ? wspace->core : idxmalloc(mysize, "AssembleGraph: mygraph"));
for (k=i=0; i<nvtxs; i++) {
mygraph[k++] = xadj[i+1]-xadj[i];
for (j=0; j<ncon; j++)
mygraph[k++] = vwgt[i*ncon+j];
if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION)
mygraph[k++] = vsize[i];
for (j=xadj[i]; j<xadj[i+1]; j++) {
mygraph[k++] = imap[adjncy[j]];
mygraph[k++] = adjwgt[j];
}
}
ASSERT(ctrl, mysize == k);
/**************************************/
/* Assemble and send the entire graph */
/**************************************/
gsize = rdispls[ctrl->npes];
ggraph = (gsize <= wspace->maxcore-mysize ? wspace->core+mysize : idxmalloc(gsize, "AssembleGraph: ggraph"));
MPI_Allgatherv((void *)mygraph, mysize, IDX_DATATYPE, (void *)ggraph, rcounts, rdispls, IDX_DATATYPE, ctrl->comm);
GKfree((void **)&rcounts, (void **)&rdispls, LTERM);
if (mysize > wspace->maxcore)
free(mygraph);
agraph = CreateGraph();
agraph->nvtxs = gnvtxs;
switch (ctrl->partType) {
case STATIC_PARTITION:
agraph->nedges = gnedges = (gsize-(1+ncon)*gnvtxs)/2;
break;
case ADAPTIVE_PARTITION:
case REFINE_PARTITION:
agraph->nedges = gnedges = (gsize-(2+ncon)*gnvtxs)/2;
break;
default:
printf("WARNING: bad value for ctrl->partType %d\n", ctrl->partType);
agraph->nedges = gnedges = -1;
break;
}
agraph->ncon = ncon;
/*******************************************/
/* Allocate memory for the assembled graph */
/*******************************************/
axadj = agraph->xadj = idxmalloc(gnvtxs+1, "AssembleGraph: axadj");
avwgt = agraph->vwgt = idxmalloc(gnvtxs*ncon, "AssembleGraph: avwgt");
anvwgt = agraph->nvwgt = fmalloc(gnvtxs*ncon, "AssembleGraph: anvwgt");
aadjncy = agraph->adjncy = idxmalloc(gnedges, "AssembleGraph: adjncy");
aadjwgt = agraph->adjwgt = idxmalloc(gnedges, "AssembleGraph: adjwgt");
alabel = agraph->label = idxmalloc(gnvtxs, "AssembleGraph: alabel");
if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION)
avsize = agraph->vsize = idxmalloc(gnvtxs, "AssembleGraph: avsize");
for (k=j=i=0; i<gnvtxs; i++) {
axadj[i] = ggraph[k++];
for (l=0; l<ncon; l++)
avwgt[i*ncon+l] = ggraph[k++];
if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION)
avsize[i] = ggraph[k++];
for (l=0; l<axadj[i]; l++) {
aadjncy[j] = ggraph[k++];
aadjwgt[j] = ggraph[k++];
j++;
}
}
/*********************************/
/* Now fix up the received graph */
/*********************************/
MAKECSR(i, gnvtxs, axadj);
for (i=0; i<gnvtxs; i++)
for (j=0; j<ncon; j++)
anvwgt[i*ncon+j] = (float)(agraph->vwgt[i*ncon+j]) / (float)(ctrl->tvwgts[j]);
for (i=0; i<gnvtxs; i++)
alabel[i] = i;
if (gsize > wspace->maxcore-mysize)
free(ggraph);
return agraph;
}
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