/*************************************************************************
* This function takes a graph and produces a bisection of it
**************************************************************************/
int MlevelKWayPartitioning(CtrlType *ctrl, GraphType *graph, int nparts, idxtype *part, float *tpwgts, float ubfactor)
{
int i, j, nvtxs, tvwgt, tpwgts2[2];
GraphType *cgraph;
int wgtflag=3, numflag=0, options[10], edgecut;
cgraph = Coarsen2Way(ctrl, graph);
IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->InitPartTmr));
AllocateKWayPartitionMemory(ctrl, cgraph, nparts);
options[0] = 1;
options[OPTION_CTYPE] = MATCH_SHEMKWAY;
options[OPTION_ITYPE] = IPART_GGPKL;
options[OPTION_RTYPE] = RTYPE_FM;
options[OPTION_DBGLVL] = 0;
METIS_WPartGraphRecursive(&cgraph->nvtxs, cgraph->xadj, cgraph->adjncy, cgraph->vwgt,
cgraph->adjwgt, &wgtflag, &numflag, &nparts, tpwgts, options,
&edgecut, cgraph->where);
IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->InitPartTmr));
IFSET(ctrl->dbglvl, DBG_IPART, printf("Initial %d-way partitioning cut: %d\n", nparts, edgecut));
IFSET(ctrl->dbglvl, DBG_KWAYPINFO, ComputePartitionInfo(cgraph, nparts, cgraph->where));
RefineKWay(ctrl, graph, cgraph, nparts, tpwgts, ubfactor);
idxcopy(graph->nvtxs, graph->where, part);
GKfree(&graph->gdata, &graph->rdata, LTERM);
return graph->mincut;
}
void ProjectKWayPartition(ctrl_t *ctrl, graph_t *graph)
{
idx_t i, j, k, nvtxs, nbnd, nparts, me, other, istart, iend, tid, ted;
idx_t *xadj, *adjncy, *adjwgt;
idx_t *cmap, *where, *bndptr, *bndind, *cwhere, *htable;
graph_t *cgraph;
WCOREPUSH;
nparts = ctrl->nparts;
cgraph = graph->coarser;
cwhere = cgraph->where;
nvtxs = graph->nvtxs;
cmap = graph->cmap;
xadj = graph->xadj;
adjncy = graph->adjncy;
adjwgt = graph->adjwgt;
AllocateKWayPartitionMemory(ctrl, graph);
where = graph->where;
bndind = graph->bndind;
bndptr = iset(nvtxs, -1, graph->bndptr);
htable = iset(nparts, -1, iwspacemalloc(ctrl, nparts));
/* Compute the required info for refinement */
switch (ctrl->objtype) {
case METIS_OBJTYPE_CUT:
ASSERT(CheckBnd2(cgraph));
{
ckrinfo_t *myrinfo;
cnbr_t *mynbrs;
/* go through and project partition and compute id/ed for the nodes */
for (i=0; i<nvtxs; i++) {
k = cmap[i];
where[i] = cwhere[k];
cmap[i] = cgraph->ckrinfo[k].ed; /* For optimization */
}
memset(graph->ckrinfo, 0, sizeof(ckrinfo_t)*nvtxs);
cnbrpoolReset(ctrl);
for (nbnd=0, i=0; i<nvtxs; i++) {
istart = xadj[i];
iend = xadj[i+1];
myrinfo = graph->ckrinfo+i;
if (cmap[i] == 0) { /* Interior node. Note that cmap[i] = crinfo[cmap[i]].ed */
for (tid=0, j=istart; j<iend; j++)
tid += adjwgt[j];
myrinfo->id = tid;
myrinfo->inbr = -1;
}
else { /* Potentially an interface node */
myrinfo->inbr = cnbrpoolGetNext(ctrl, iend-istart+1);
mynbrs = ctrl->cnbrpool + myrinfo->inbr;
me = where[i];
for (tid=0, ted=0, j=istart; j<iend; j++) {
other = where[adjncy[j]];
if (me == other) {
tid += adjwgt[j];
}
else {
ted += adjwgt[j];
if ((k = htable[other]) == -1) {
htable[other] = myrinfo->nnbrs;
mynbrs[myrinfo->nnbrs].pid = other;
mynbrs[myrinfo->nnbrs++].ed = adjwgt[j];
}
else {
mynbrs[k].ed += adjwgt[j];
}
}
}
myrinfo->id = tid;
myrinfo->ed = ted;
/* Remove space for edegrees if it was interior */
if (ted == 0) {
ctrl->nbrpoolcpos -= iend-istart+1;
myrinfo->inbr = -1;
}
else {
if (ted-tid >= 0)
BNDInsert(nbnd, bndind, bndptr, i);
for (j=0; j<myrinfo->nnbrs; j++)
htable[mynbrs[j].pid] = -1;
}
}
}
graph->nbnd = nbnd;
}
ASSERT(CheckBnd2(graph));
break;
case METIS_OBJTYPE_VOL:
{
vkrinfo_t *myrinfo;
vnbr_t *mynbrs;
ASSERT(cgraph->minvol == ComputeVolume(cgraph, cgraph->where));
/* go through and project partition and compute id/ed for the nodes */
for (i=0; i<nvtxs; i++) {
k = cmap[i];
where[i] = cwhere[k];
cmap[i] = cgraph->vkrinfo[k].ned; /* For optimization */
}
memset(graph->vkrinfo, 0, sizeof(vkrinfo_t)*nvtxs);
vnbrpoolReset(ctrl);
for (i=0; i<nvtxs; i++) {
istart = xadj[i];
iend = xadj[i+1];
myrinfo = graph->vkrinfo+i;
if (cmap[i] == 0) { /* Note that cmap[i] = crinfo[cmap[i]].ed */
myrinfo->nid = iend-istart;
myrinfo->inbr = -1;
}
else { /* Potentially an interface node */
myrinfo->inbr = vnbrpoolGetNext(ctrl, iend-istart+1);
mynbrs = ctrl->vnbrpool + myrinfo->inbr;
me = where[i];
for (tid=0, ted=0, j=istart; j<iend; j++) {
other = where[adjncy[j]];
if (me == other) {
tid++;
}
else {
ted++;
if ((k = htable[other]) == -1) {
htable[other] = myrinfo->nnbrs;
mynbrs[myrinfo->nnbrs].gv = 0;
mynbrs[myrinfo->nnbrs].pid = other;
mynbrs[myrinfo->nnbrs++].ned = 1;
}
else {
mynbrs[k].ned++;
}
}
}
myrinfo->nid = tid;
myrinfo->ned = ted;
/* Remove space for edegrees if it was interior */
if (ted == 0) {
ctrl->nbrpoolcpos -= iend-istart+1;
myrinfo->inbr = -1;
}
else {
for (j=0; j<myrinfo->nnbrs; j++)
htable[mynbrs[j].pid] = -1;
}
}
}
ComputeKWayVolGains(ctrl, graph);
ASSERT(graph->minvol == ComputeVolume(graph, graph->where));
}
break;
default:
gk_errexit(SIGERR, "Unknown objtype of %d\n", ctrl->objtype);
}
graph->mincut = cgraph->mincut;
icopy(nparts*graph->ncon, cgraph->pwgts, graph->pwgts);
FreeGraph(&graph->coarser);
graph->coarser = NULL;
WCOREPOP;
}
idx_t MlevelKWayPartitioning(ctrl_t *ctrl, graph_t *graph, idx_t *part)
{
idx_t i, objval=0, curobj=0, bestobj=0;
real_t curbal=0.0, bestbal=0.0;
graph_t *cgraph;
for (i=0; i<ctrl->ncuts; i++) {
cgraph = CoarsenGraph(ctrl, graph);
IFSET(ctrl->dbglvl, METIS_DBG_TIME, gk_startwctimer(ctrl->InitPartTmr));
AllocateKWayPartitionMemory(ctrl, cgraph);
/* Compute the initial partitioning */
switch (ctrl->iptype) {
case METIS_IPTYPE_METISRB:
FreeWorkSpace(ctrl); /* Release the work space, for the recursive metis call */
InitKWayPartitioningRB(ctrl, cgraph);
AllocateWorkSpace(ctrl, graph); /* Re-allocate the work space */
break;
case METIS_IPTYPE_GROW:
AllocateRefinementWorkSpace(ctrl, 2*cgraph->nedges);
InitKWayPartitioningGrow(ctrl, cgraph);
break;
default:
gk_errexit(SIGERR, "Unknown iptype: %d\n", ctrl->iptype);
}
IFSET(ctrl->dbglvl, METIS_DBG_TIME, gk_stopwctimer(ctrl->InitPartTmr));
IFSET(ctrl->dbglvl, METIS_DBG_IPART, printf("Initial %"PRIDX \
"-way partitioning cut: %"PRIDX"\n", ctrl->nparts, objval));
RefineKWay(ctrl, graph, cgraph);
switch (ctrl->objtype) {
case METIS_OBJTYPE_CUT:
curobj = graph->mincut;
break;
case METIS_OBJTYPE_VOL:
curobj = graph->minvol;
break;
default:
gk_errexit(SIGERR, "Unknown objtype: %d\n", ctrl->objtype);
}
curbal = ComputeLoadImbalanceDiff(graph, ctrl->nparts, ctrl->pijbm, ctrl->ubfactors);
if (i == 0
|| (curbal <= 0.0005 && bestobj > curobj)
|| (bestbal > 0.0005 && curbal < bestbal)) {
icopy(graph->nvtxs, graph->where, part);
bestobj = curobj;
bestbal = curbal;
}
FreeRData(graph);
if (bestobj == 0)
break;
}
FreeGraph(&graph);
return bestobj;
}
/*************************************************************************
* This function projects a partition, and at the same time computes the
* parameters for refinement.
**************************************************************************/
void ProjectKWayPartition(CtrlType *ctrl, GraphType *graph, int nparts)
{
int i, j, k, nvtxs, nbnd, me, other, istart, iend, ndegrees;
idxtype *xadj, *adjncy, *adjwgt, *adjwgtsum;
idxtype *cmap, *where, *bndptr, *bndind;
idxtype *cwhere;
GraphType *cgraph;
RInfoType *crinfo, *rinfo, *myrinfo;
EDegreeType *myedegrees;
idxtype *htable;
cgraph = graph->coarser;
cwhere = cgraph->where;
crinfo = cgraph->rinfo;
nvtxs = graph->nvtxs;
cmap = graph->cmap;
xadj = graph->xadj;
adjncy = graph->adjncy;
adjwgt = graph->adjwgt;
adjwgtsum = graph->adjwgtsum;
AllocateKWayPartitionMemory(ctrl, graph, nparts);
where = graph->where;
rinfo = graph->rinfo;
bndind = graph->bndind;
bndptr = idxset(nvtxs, -1, graph->bndptr);
/* Go through and project partition and compute id/ed for the nodes */
for (i=0; i<nvtxs; i++) {
k = cmap[i];
where[i] = cwhere[k];
cmap[i] = crinfo[k].ed; /* For optimization */
}
htable = idxset(nparts, -1, idxwspacemalloc(ctrl, nparts));
ctrl->wspace.cdegree = 0;
for (nbnd=0, i=0; i<nvtxs; i++) {
me = where[i];
myrinfo = rinfo+i;
myrinfo->id = myrinfo->ed = myrinfo->ndegrees = 0;
myrinfo->edegrees = NULL;
myrinfo->id = adjwgtsum[i];
if (cmap[i] > 0) { /* If it is an interface node. Note cmap[i] = crinfo[cmap[i]].ed */
istart = xadj[i];
iend = xadj[i+1];
myedegrees = myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree;
ctrl->wspace.cdegree += iend-istart;
ndegrees = 0;
for (j=istart; j<iend; j++) {
other = where[adjncy[j]];
if (me != other) {
myrinfo->ed += adjwgt[j];
if ((k = htable[other]) == -1) {
htable[other] = ndegrees;
myedegrees[ndegrees].pid = other;
myedegrees[ndegrees++].ed = adjwgt[j];
}
else {
myedegrees[k].ed += adjwgt[j];
}
}
}
myrinfo->id -= myrinfo->ed;
/* Remove space for edegrees if it was interior */
if (myrinfo->ed == 0) {
myrinfo->edegrees = NULL;
ctrl->wspace.cdegree -= iend-istart;
}
else {
if (myrinfo->ed-myrinfo->id >= 0)
BNDInsert(nbnd, bndind, bndptr, i);
myrinfo->ndegrees = ndegrees;
for (j=0; j<ndegrees; j++)
htable[myedegrees[j].pid] = -1;
}
}
}
idxcopy(nparts, cgraph->pwgts, graph->pwgts);
graph->mincut = cgraph->mincut;
graph->nbnd = nbnd;
FreeGraph(graph->coarser);
graph->coarser = NULL;
idxwspacefree(ctrl, nparts);
ASSERT(CheckBnd2(graph));
}
