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/*
* Copyright 1997, Regents of the University of Minnesota
*
* mpmetis.c
*
* This file contains the top level routines for the multilevel recursive
* bisection algorithm PMETIS.
*
* Started 7/24/97
* George
*
* $Id: mpmetis.c,v 1.1 2003/07/16 15:55:12 karypis Exp $
*
*/
#include <metis.h>
/*************************************************************************
* This function is the entry point for PWMETIS that accepts exact weights
* for the target partitions
**************************************************************************/
void METIS_mCPartGraphRecursive(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy,
idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts,
int *options, int *edgecut, idxtype *part)
{
int i, j;
GraphType graph;
CtrlType ctrl;
if (*numflag == 1)
Change2CNumbering(*nvtxs, xadj, adjncy);
SetUpGraph(&graph, OP_PMETIS, *nvtxs, *ncon, xadj, adjncy, vwgt, adjwgt, *wgtflag);
if (options[0] == 0) { /* Use the default parameters */
ctrl.CType = McPMETIS_CTYPE;
ctrl.IType = McPMETIS_ITYPE;
ctrl.RType = McPMETIS_RTYPE;
ctrl.dbglvl = McPMETIS_DBGLVL;
}
else {
ctrl.CType = options[OPTION_CTYPE];
ctrl.IType = options[OPTION_ITYPE];
ctrl.RType = options[OPTION_RTYPE];
ctrl.dbglvl = options[OPTION_DBGLVL];
}
ctrl.optype = OP_PMETIS;
ctrl.CoarsenTo = 100;
ctrl.nmaxvwgt = 1.5/(1.0*ctrl.CoarsenTo);
InitRandom(-1);
AllocateWorkSpace(&ctrl, &graph, *nparts);
IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl));
IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr));
*edgecut = MCMlevelRecursiveBisection(&ctrl, &graph, *nparts, part, 1.000, 0);
IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr));
IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl));
FreeWorkSpace(&ctrl, &graph);
if (*numflag == 1)
Change2FNumbering(*nvtxs, xadj, adjncy, part);
}
/*************************************************************************
* This function is the entry point for PWMETIS that accepts exact weights
* for the target partitions
**************************************************************************/
void METIS_mCHPartGraphRecursive(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy,
idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts,
float *ubvec, int *options, int *edgecut, idxtype *part)
{
int i, j;
GraphType graph;
CtrlType ctrl;
float *myubvec;
if (*numflag == 1)
Change2CNumbering(*nvtxs, xadj, adjncy);
SetUpGraph(&graph, OP_PMETIS, *nvtxs, *ncon, xadj, adjncy, vwgt, adjwgt, *wgtflag);
if (options[0] == 0) { /* Use the default parameters */
ctrl.CType = PMETIS_CTYPE;
ctrl.IType = PMETIS_ITYPE;
ctrl.RType = PMETIS_RTYPE;
ctrl.dbglvl = PMETIS_DBGLVL;
}
else {
ctrl.CType = options[OPTION_CTYPE];
ctrl.IType = options[OPTION_ITYPE];
ctrl.RType = options[OPTION_RTYPE];
ctrl.dbglvl = options[OPTION_DBGLVL];
}
ctrl.optype = OP_PMETIS;
ctrl.CoarsenTo = 100;
ctrl.nmaxvwgt = 1.5/(1.0*ctrl.CoarsenTo);
myubvec = fmalloc(*ncon, "PWMETIS: mytpwgts");
scopy(*ncon, ubvec, myubvec);
InitRandom(-1);
AllocateWorkSpace(&ctrl, &graph, *nparts);
IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl));
IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr));
*edgecut = MCHMlevelRecursiveBisection(&ctrl, &graph, *nparts, part, myubvec, 0);
IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr));
IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl));
FreeWorkSpace(&ctrl, &graph);
GKfree(&myubvec, LTERM);
if (*numflag == 1)
Change2FNumbering(*nvtxs, xadj, adjncy, part);
}
/*************************************************************************
* This function is the entry point for PWMETIS that accepts exact weights
* for the target partitions
**************************************************************************/
void METIS_mCPartGraphRecursiveInternal(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy,
float *nvwgt, idxtype *adjwgt, int *nparts, int *options, int *edgecut, idxtype *part)
{
int i, j;
GraphType graph;
CtrlType ctrl;
SetUpGraph2(&graph, *nvtxs, *ncon, xadj, adjncy, nvwgt, adjwgt);
if (options[0] == 0) { /* Use the default parameters */
ctrl.CType = PMETIS_CTYPE;
ctrl.IType = PMETIS_ITYPE;
ctrl.RType = PMETIS_RTYPE;
ctrl.dbglvl = PMETIS_DBGLVL;
}
else {
ctrl.CType = options[OPTION_CTYPE];
ctrl.IType = options[OPTION_ITYPE];
ctrl.RType = options[OPTION_RTYPE];
ctrl.dbglvl = options[OPTION_DBGLVL];
}
ctrl.optype = OP_PMETIS;
ctrl.CoarsenTo = 100;
ctrl.nmaxvwgt = 1.5/(1.0*ctrl.CoarsenTo);
InitRandom(-1);
AllocateWorkSpace(&ctrl, &graph, *nparts);
IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl));
IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr));
*edgecut = MCMlevelRecursiveBisection(&ctrl, &graph, *nparts, part, 1.000, 0);
IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr));
IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl));
FreeWorkSpace(&ctrl, &graph);
}
/*************************************************************************
* This function is the entry point for PWMETIS that accepts exact weights
* for the target partitions
**************************************************************************/
void METIS_mCHPartGraphRecursiveInternal(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy,
float *nvwgt, idxtype *adjwgt, int *nparts, float *ubvec, int *options, int *edgecut,
idxtype *part)
{
int i, j;
GraphType graph;
CtrlType ctrl;
float *myubvec;
SetUpGraph2(&graph, *nvtxs, *ncon, xadj, adjncy, nvwgt, adjwgt);
if (options[0] == 0) { /* Use the default parameters */
ctrl.CType = PMETIS_CTYPE;
ctrl.IType = PMETIS_ITYPE;
ctrl.RType = PMETIS_RTYPE;
ctrl.dbglvl = PMETIS_DBGLVL;
}
else {
ctrl.CType = options[OPTION_CTYPE];
ctrl.IType = options[OPTION_ITYPE];
ctrl.RType = options[OPTION_RTYPE];
ctrl.dbglvl = options[OPTION_DBGLVL];
}
ctrl.optype = OP_PMETIS;
ctrl.CoarsenTo = 100;
ctrl.nmaxvwgt = 1.5/(1.0*ctrl.CoarsenTo);
myubvec = fmalloc(*ncon, "PWMETIS: mytpwgts");
scopy(*ncon, ubvec, myubvec);
InitRandom(-1);
AllocateWorkSpace(&ctrl, &graph, *nparts);
IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl));
IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr));
*edgecut = MCHMlevelRecursiveBisection(&ctrl, &graph, *nparts, part, myubvec, 0);
IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr));
IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl));
FreeWorkSpace(&ctrl, &graph);
GKfree(&myubvec, LTERM);
}
/*************************************************************************
* This function takes a graph and produces a bisection of it
**************************************************************************/
int MCMlevelRecursiveBisection(CtrlType *ctrl, GraphType *graph, int nparts, idxtype *part,
float ubfactor, int fpart)
{
int i, j, nvtxs, ncon, cut;
idxtype *label, *where;
GraphType lgraph, rgraph;
float tpwgts[2];
nvtxs = graph->nvtxs;
if (nvtxs == 0) {
printf("\t***Cannot bisect a graph with 0 vertices!\n\t***You are trying to partition a graph into too many parts!\n");
return 0;
}
/* Determine the weights of the partitions */
tpwgts[0] = 1.0*(nparts>>1)/(1.0*nparts);
tpwgts[1] = 1.0 - tpwgts[0];
MCMlevelEdgeBisection(ctrl, graph, tpwgts, ubfactor);
cut = graph->mincut;
label = graph->label;
where = graph->where;
for (i=0; i<nvtxs; i++)
part[label[i]] = where[i] + fpart;
if (nparts > 2)
SplitGraphPart(ctrl, graph, &lgraph, &rgraph);
/* Free the memory of the top level graph */
GKfree(&graph->gdata, &graph->nvwgt, &graph->rdata, &graph->label, LTERM);
/* Do the recursive call */
if (nparts > 3) {
cut += MCMlevelRecursiveBisection(ctrl, &lgraph, nparts/2, part, ubfactor, fpart);
cut += MCMlevelRecursiveBisection(ctrl, &rgraph, nparts-nparts/2, part, ubfactor, fpart+nparts/2);
}
else if (nparts == 3) {
cut += MCMlevelRecursiveBisection(ctrl, &rgraph, nparts-nparts/2, part, ubfactor, fpart+nparts/2);
GKfree(&lgraph.gdata, &lgraph.nvwgt, &lgraph.label, LTERM);
}
return cut;
}
/*************************************************************************
* This function takes a graph and produces a bisection of it
**************************************************************************/
int MCHMlevelRecursiveBisection(CtrlType *ctrl, GraphType *graph, int nparts, idxtype *part,
float *ubvec, int fpart)
{
int i, j, nvtxs, ncon, cut;
idxtype *label, *where;
GraphType lgraph, rgraph;
float tpwgts[2], *npwgts, *lubvec, *rubvec;
lubvec = rubvec = NULL;
nvtxs = graph->nvtxs;
ncon = graph->ncon;
if (nvtxs == 0) {
printf("\t***Cannot bisect a graph with 0 vertices!\n\t***You are trying to partition a graph into too many parts!\n");
return 0;
}
/* Determine the weights of the partitions */
tpwgts[0] = 1.0*(nparts>>1)/(1.0*nparts);
tpwgts[1] = 1.0 - tpwgts[0];
/* For now, relax at the coarsest level only */
if (nparts == 2)
MCHMlevelEdgeBisection(ctrl, graph, tpwgts, ubvec);
else
MCMlevelEdgeBisection(ctrl, graph, tpwgts, 1.000);
cut = graph->mincut;
label = graph->label;
where = graph->where;
for (i=0; i<nvtxs; i++)
part[label[i]] = where[i] + fpart;
if (nparts > 2) {
/* Adjust the ubvecs before the split */
npwgts = graph->npwgts;
lubvec = fmalloc(ncon, "MCHMlevelRecursiveBisection");
rubvec = fmalloc(ncon, "MCHMlevelRecursiveBisection");
for (i=0; i<ncon; i++) {
lubvec[i] = ubvec[i]*tpwgts[0]/npwgts[i];
lubvec[i] = amax(lubvec[i], 1.01);
rubvec[i] = ubvec[i]*tpwgts[1]/npwgts[ncon+i];
rubvec[i] = amax(rubvec[i], 1.01);
}
SplitGraphPart(ctrl, graph, &lgraph, &rgraph);
}
/* Free the memory of the top level graph */
GKfree(&graph->gdata, &graph->nvwgt, &graph->rdata, &graph->label, LTERM);
/* Do the recursive call */
if (nparts > 3) {
cut += MCHMlevelRecursiveBisection(ctrl, &lgraph, nparts/2, part, lubvec, fpart);
cut += MCHMlevelRecursiveBisection(ctrl, &rgraph, nparts-nparts/2, part, rubvec, fpart+nparts/2);
}
else if (nparts == 3) {
cut += MCHMlevelRecursiveBisection(ctrl, &rgraph, nparts-nparts/2, part, rubvec, fpart+nparts/2);
GKfree(&lgraph.gdata, &lgraph.nvwgt, &lgraph.label, LTERM);
}
GKfree(&lubvec, &rubvec, LTERM);
return cut;
}
/*************************************************************************
* This function performs multilevel bisection
**************************************************************************/
void MCMlevelEdgeBisection(CtrlType *ctrl, GraphType *graph, float *tpwgts, float ubfactor)
{
GraphType *cgraph;
cgraph = MCCoarsen2Way(ctrl, graph);
MocInit2WayPartition(ctrl, cgraph, tpwgts, ubfactor);
MocRefine2Way(ctrl, graph, cgraph, tpwgts, ubfactor);
}
/*************************************************************************
* This function performs multilevel bisection
**************************************************************************/
void MCHMlevelEdgeBisection(CtrlType *ctrl, GraphType *graph, float *tpwgts, float *ubvec)
{
int i;
GraphType *cgraph;
/*
for (i=0; i<graph->ncon; i++)
printf("%.4f ", ubvec[i]);
printf("\n");
*/
cgraph = MCCoarsen2Way(ctrl, graph);
MocInit2WayPartition2(ctrl, cgraph, tpwgts, ubvec);
MocRefine2Way2(ctrl, graph, cgraph, tpwgts, ubvec);
}
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