Files
2008-04-15 18:56:58 +01:00

365 lines
11 KiB
C

/*
* Copyright 1997, Regents of the University of Minnesota
*
* coarsen.c
*
* This file contains code that finds a matching and performs the coarsening
*
* Started 2/22/96
* George
*
* $Id: lmatch.c,v 1.2 2003/07/21 17:18:50 karypis Exp $
*
*/
#include <parmetislib.h>
/*************************************************************************
* This function finds a HEM matching between local vertices only
**************************************************************************/
void Mc_LocalMatch_HEM(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace)
{
int h, i, ii, j, k;
int nvtxs, ncon, cnvtxs, firstvtx, maxi, maxidx, edge;
idxtype *xadj, *ladjncy, *adjwgt, *vtxdist, *home, *myhome, *shome, *rhome;
idxtype *perm, *match;
float maxnvwgt, *nvwgt;
graph->match_type = MATCH_LOCAL;
maxnvwgt = 1.0/((float)(ctrl->nparts)*MAXVWGT_FACTOR);
IFSET(ctrl->dbglvl, DBG_TIME, MPI_Barrier(ctrl->comm));
IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->MatchTmr));
nvtxs = graph->nvtxs;
ncon = graph->ncon;
xadj = graph->xadj;
nvwgt = graph->nvwgt;
ladjncy = graph->adjncy;
adjwgt = graph->adjwgt;
home = graph->home;
vtxdist = graph->vtxdist;
firstvtx = vtxdist[ctrl->mype];
match = graph->match = idxmalloc(nvtxs+graph->nrecv, "HEM_Match: match");
myhome = idxsmalloc(nvtxs+graph->nrecv, UNMATCHED, "HEM_Match: myhome");
idxset(nvtxs, UNMATCHED, match);
idxset(graph->nrecv, 0, match+nvtxs); /* Easy way to handle remote vertices */
/*------------------------------------------------------------
/ Send/Receive the home information of interface vertices
/------------------------------------------------------------*/
if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION) {
idxcopy(nvtxs, home, myhome);
shome = wspace->indices;
rhome = myhome + nvtxs;
CommInterfaceData(ctrl, graph, myhome, shome, rhome);
}
/*************************************************************
* Go now and find a local matching
*************************************************************/
perm = wspace->indices;
FastRandomPermute(nvtxs, perm, 1);
cnvtxs = 0;
for (ii=0; ii<nvtxs; ii++) {
i = perm[ii];
if (match[i] == UNMATCHED) {
maxidx = maxi = -1;
/* Find a heavy-edge matching, if the weight of the vertex is OK */
for (h=0; h<ncon; h++)
if (nvwgt[i*ncon+h] > maxnvwgt)
break;
if (h == ncon) {
for (j=xadj[i]; j<xadj[i+1]; j++) {
edge = ladjncy[j];
/* match only with local vertices */
if (myhome[edge] != myhome[i] || edge >= nvtxs)
continue;
for (h=0; h<ncon; h++)
if (nvwgt[edge*ncon+h] > maxnvwgt)
break;
if (h == ncon) {
if (match[edge] == UNMATCHED &&
(maxi == -1 ||
adjwgt[maxi] < adjwgt[j] ||
(adjwgt[maxi] == adjwgt[j] &&
BetterVBalance(ncon,nvwgt+i*ncon,nvwgt+maxidx*ncon,nvwgt+edge*ncon) >= 0))) {
maxi = j;
maxidx = edge;
}
}
}
}
if (maxi != -1) {
k = ladjncy[maxi];
if (i <= k) {
match[i] = firstvtx+k + KEEP_BIT;
match[k] = firstvtx+i;
}
else {
match[i] = firstvtx+k;
match[k] = firstvtx+i + KEEP_BIT;
}
}
else {
match[i] = (firstvtx+i) + KEEP_BIT;
}
cnvtxs++;
}
}
CommInterfaceData(ctrl, graph, match, wspace->indices, match+nvtxs);
GKfree((void **)(&myhome), LTERM);
#ifdef DEBUG_MATCH
PrintVector2(ctrl, nvtxs, firstvtx, match, "Match1");
#endif
if (ctrl->dbglvl&DBG_MATCHINFO) {
PrintVector2(ctrl, nvtxs, firstvtx, match, "Match");
myprintf(ctrl, "Cnvtxs: %d\n", cnvtxs);
rprintf(ctrl, "Done with matching...\n");
}
IFSET(ctrl->dbglvl, DBG_TIME, MPI_Barrier(ctrl->comm));
IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->MatchTmr));
IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->ContractTmr));
Mc_Local_CreateCoarseGraph(ctrl, graph, wspace, cnvtxs);
IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->ContractTmr));
}
/*************************************************************************
* This function creates the coarser graph
**************************************************************************/
void Mc_Local_CreateCoarseGraph(CtrlType *ctrl, GraphType *graph, WorkSpaceType *wspace, int cnvtxs)
{
int h, i, j, k, l;
int nvtxs, ncon, nedges, firstvtx, cfirstvtx;
int npes=ctrl->npes, mype=ctrl->mype;
int cnedges, v, u;
idxtype *xadj, *vwgt, *vsize, *ladjncy, *adjwgt, *vtxdist, *where, *home;
idxtype *match, *cmap;
idxtype *cxadj, *cvwgt, *cvsize = NULL, *cadjncy, *cadjwgt, *cvtxdist, *chome = NULL, *cwhere = NULL;
float *cnvwgt;
GraphType *cgraph;
int mask=(1<<13)-1, htable[8192], htableidx[8192];
nvtxs = graph->nvtxs;
ncon = graph->ncon;
vtxdist = graph->vtxdist;
xadj = graph->xadj;
vwgt = graph->vwgt;
home = graph->home;
vsize = graph->vsize;
ladjncy = graph->adjncy;
adjwgt = graph->adjwgt;
where = graph->where;
match = graph->match;
firstvtx = vtxdist[mype];
cmap = graph->cmap = idxmalloc(nvtxs+graph->nrecv, "CreateCoarseGraph: cmap");
/* Initialize the coarser graph */
cgraph = CreateGraph();
cgraph->nvtxs = cnvtxs;
cgraph->level = graph->level+1;
cgraph->ncon = ncon;
cgraph->finer = graph;
graph->coarser = cgraph;
/*************************************************************
* Obtain the vtxdist of the coarser graph
**************************************************************/
cvtxdist = cgraph->vtxdist = idxmalloc(npes+1, "CreateCoarseGraph: cvtxdist");
cvtxdist[npes] = cnvtxs; /* Use last position in the cvtxdist as a temp buffer */
MPI_Allgather((void *)(cvtxdist+npes), 1, IDX_DATATYPE, (void *)cvtxdist, 1, IDX_DATATYPE, ctrl->comm);
MAKECSR(i, npes, cvtxdist);
cgraph->gnvtxs = cvtxdist[npes];
#ifdef DEBUG_CONTRACT
PrintVector(ctrl, npes+1, 0, cvtxdist, "cvtxdist");
#endif
/*************************************************************
* Construct the cmap vector
**************************************************************/
cfirstvtx = cvtxdist[mype];
/* Create the cmap of what you know so far locally */
cnvtxs = 0;
for (i=0; i<nvtxs; i++) {
if (match[i] >= KEEP_BIT) {
k = match[i] - KEEP_BIT;
if (k<firstvtx+i)
continue; /* i has been matched via the (k,i) side */
cmap[i] = cfirstvtx + cnvtxs++;
if (k != firstvtx+i) {
cmap[k-firstvtx] = cmap[i];
match[k-firstvtx] += KEEP_BIT; /* Add the KEEP_BIT to simplify coding */
}
}
}
CommInterfaceData(ctrl, graph, cmap, wspace->indices, cmap+nvtxs);
#ifdef DEBUG_CONTRACT
PrintVector(ctrl, nvtxs, firstvtx, cmap, "Cmap");
#endif
/*************************************************************
* Finally, create the coarser graph
**************************************************************/
/* Allocate memory for the coarser graph, and fire up coarsening */
cxadj = cgraph->xadj = idxmalloc(cnvtxs+1, "CreateCoarserGraph: cxadj");
cvwgt = cgraph->vwgt = idxmalloc(cnvtxs*ncon, "CreateCoarserGraph: cvwgt");
cnvwgt = cgraph->nvwgt = fmalloc(cnvtxs*ncon, "CreateCoarserGraph: cnvwgt");
if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION)
chome = cgraph->home = idxmalloc(cnvtxs, "CreateCoarserGraph: chome");
if (vsize != NULL)
cvsize = cgraph->vsize = idxmalloc(cnvtxs, "CreateCoarserGraph: cvsize");
if (where != NULL)
cwhere = cgraph->where = idxmalloc(cnvtxs, "CreateCoarserGraph: cwhere");
cadjncy = idxmalloc(2*graph->nedges, "CreateCoarserGraph: cadjncy");
cadjwgt = cadjncy+graph->nedges;
iset(8192, -1, htable);
cxadj[0] = cnvtxs = cnedges = 0;
for (i=0; i<nvtxs; i++) {
v = firstvtx+i;
u = match[i]-KEEP_BIT;
if (v > u)
continue; /* I have already collapsed it as (u,v) */
/* Collapse the v vertex first, which you know that is local */
for (h=0; h<ncon; h++)
cvwgt[cnvtxs*ncon+h] = vwgt[i*ncon+h];
if (ctrl->partType == ADAPTIVE_PARTITION || ctrl->partType == REFINE_PARTITION)
chome[cnvtxs] = home[i];
if (vsize != NULL)
cvsize[cnvtxs] = vsize[i];
if (where != NULL)
cwhere[cnvtxs] = where[i];
nedges = 0;
for (j=xadj[i]; j<xadj[i+1]; j++) {
k = cmap[ladjncy[j]];
if (k != cfirstvtx+cnvtxs) { /* If this is not an internal edge */
l = k&mask;
if (htable[l] == -1) { /* Seeing this for first time */
htable[l] = k;
htableidx[l] = cnedges+nedges;
cadjncy[cnedges+nedges] = k;
cadjwgt[cnedges+nedges++] = adjwgt[j];
}
else if (htable[l] == k) {
cadjwgt[htableidx[l]] += adjwgt[j];
}
else { /* Now you have to go and do a search. Expensive case */
for (l=0; l<nedges; l++) {
if (cadjncy[cnedges+l] == k)
break;
}
if (l < nedges) {
cadjwgt[cnedges+l] += adjwgt[j];
}
else {
cadjncy[cnedges+nedges] = k;
cadjwgt[cnedges+nedges++] = adjwgt[j];
}
}
}
}
/* Collapse the u vertex next */
if (v != u) {
u -= firstvtx;
for (h=0; h<ncon; h++)
cvwgt[cnvtxs*ncon+h] += vwgt[u*ncon+h];
if (vsize != NULL)
cvsize[cnvtxs] += vsize[u];
if (where != NULL && cwhere[cnvtxs] != where[u])
myprintf(ctrl, "Something went wrong with the where local matching! %d %d\n", cwhere[cnvtxs], where[u]);
for (j=xadj[u]; j<xadj[u+1]; j++) {
k = cmap[ladjncy[j]];
if (k != cfirstvtx+cnvtxs) { /* If this is not an internal edge */
l = k&mask;
if (htable[l] == -1) { /* Seeing this for first time */
htable[l] = k;
htableidx[l] = cnedges+nedges;
cadjncy[cnedges+nedges] = k;
cadjwgt[cnedges+nedges++] = adjwgt[j];
}
else if (htable[l] == k) {
cadjwgt[htableidx[l]] += adjwgt[j];
}
else { /* Now you have to go and do a search. Expensive case */
for (l=0; l<nedges; l++) {
if (cadjncy[cnedges+l] == k)
break;
}
if (l < nedges) {
cadjwgt[cnedges+l] += adjwgt[j];
}
else {
cadjncy[cnedges+nedges] = k;
cadjwgt[cnedges+nedges++] = adjwgt[j];
}
}
}
}
}
cnedges += nedges;
for (j=cxadj[cnvtxs]; j<cnedges; j++)
htable[cadjncy[j]&mask] = -1; /* reset the htable */
cxadj[++cnvtxs] = cnedges;
}
cgraph->nedges = cnedges;
for (j=0; j<cnvtxs; j++)
for (h=0; h<ncon; h++)
cgraph->nvwgt[j*ncon+h] = (float)(cvwgt[j*ncon+h])/(float)(ctrl->tvwgts[h]);
cgraph->adjncy = idxmalloc(cnedges, "CreateCoarserGraph: cadjncy");
cgraph->adjwgt = idxmalloc(cnedges, "CreateCoarserGraph: cadjwgt");
idxcopy(cnedges, cadjncy, cgraph->adjncy);
idxcopy(cnedges, cadjwgt, cgraph->adjwgt);
GKfree((void **)&cadjncy, (void **)&graph->where, LTERM); /* Note that graph->where works fine even if it is NULL */
}