/*************************************************************************
* This function is the entry point for PWMETIS that accepts exact weights
* for the target partitions
**************************************************************************/
void METIS_WPartGraphRecursive(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt,
idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts,
floattype *tpwgts, int *options, int *edgecut, idxtype *part)
{
int i, j;
GraphType graph;
CtrlType ctrl;
floattype *mytpwgts;
if (*numflag == 1)
Change2CNumbering(*nvtxs, xadj, adjncy);
SetUpGraph(&graph, OP_PMETIS, *nvtxs, 1, 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 = 20;
ctrl.maxvwgt = 1.5*(idxsum(*nvtxs, graph.vwgt)/ctrl.CoarsenTo);
mytpwgts = fmalloc(*nparts, "PWMETIS: mytpwgts");
for (i=0; i<*nparts; i++)
mytpwgts[i] = tpwgts[i];
InitRandom(-1);
AllocateWorkSpace(&ctrl, &graph, *nparts);
IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl));
IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr));
*edgecut = MlevelRecursiveBisection(&ctrl, &graph, *nparts, part, mytpwgts, 1.000, 0);
IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr));
IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl));
FreeWorkSpace(&ctrl, &graph);
free(mytpwgts);
if (*numflag == 1)
Change2FNumbering(*nvtxs, xadj, adjncy, part);
}
/*************************************************************************
* This function is the entry point for KWMETIS
**************************************************************************/
void METIS_mCPartGraphKway(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy,
idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag,
int *nparts, floattype *rubvec, int *options, int *edgecut,
idxtype *part)
{
int i, j;
GraphType graph;
CtrlType ctrl;
if (*numflag == 1)
Change2CNumbering(*nvtxs, xadj, adjncy);
SetUpGraph(&graph, OP_KMETIS, *nvtxs, *ncon, xadj, adjncy, vwgt, adjwgt, *wgtflag);
if (options[0] == 0) { /* Use the default parameters */
ctrl.CType = McKMETIS_CTYPE;
ctrl.IType = McKMETIS_ITYPE;
ctrl.RType = McKMETIS_RTYPE;
ctrl.dbglvl = McKMETIS_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_KMETIS;
ctrl.CoarsenTo = amax((*nvtxs)/(20*log2Int(*nparts)), 30*(*nparts));
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));
ASSERT(CheckGraph(&graph));
*edgecut = MCMlevelKWayPartitioning(&ctrl, &graph, *nparts, part, rubvec);
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 KWMETIS
**************************************************************************/
void METIS_WPartGraphVKway(int *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt,
idxtype *vsize, int *wgtflag, int *numflag, int *nparts,
float *tpwgts, int *options, int *volume, idxtype *part)
{
int i, j;
GraphType graph;
CtrlType ctrl;
if (*numflag == 1)
Change2CNumbering(*nvtxs, xadj, adjncy);
VolSetUpGraph(&graph, OP_KVMETIS, *nvtxs, 1, xadj, adjncy, vwgt, vsize, *wgtflag);
if (options[0] == 0) { /* Use the default parameters */
ctrl.CType = KVMETIS_CTYPE;
ctrl.IType = KVMETIS_ITYPE;
ctrl.RType = KVMETIS_RTYPE;
ctrl.dbglvl = KVMETIS_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_KVMETIS;
ctrl.CoarsenTo = amax((*nvtxs)/(40*log2Int(*nparts)), 20*(*nparts));
ctrl.maxvwgt = 1.5*((graph.vwgt ? idxsum(*nvtxs, graph.vwgt) : (*nvtxs))/ctrl.CoarsenTo);
InitRandom(-1);
AllocateWorkSpace(&ctrl, &graph, *nparts);
IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl));
IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr));
*volume = MlevelVolKWayPartitioning(&ctrl, &graph, *nparts, part, tpwgts, 1.03);
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 KWMETIS with seed specification
* in options[7]
**************************************************************************/
void METIS_WPartGraphKway2(idxtype *nvtxs, idxtype *xadj, idxtype *adjncy, idxtype *vwgt,
idxtype *adjwgt, idxtype *wgtflag, idxtype *numflag, idxtype *nparts,
float *tpwgts, idxtype *options, idxtype *edgecut, idxtype *part)
{
idxtype i, j;
GraphType graph;
CtrlType ctrl;
if (*numflag == 1)
Change2CNumbering(*nvtxs, xadj, adjncy);
SetUpGraph(&graph, OP_KMETIS, *nvtxs, 1, xadj, adjncy, vwgt, adjwgt, *wgtflag);
if (options[0] == 0) { /* Use the default parameters */
ctrl.CType = KMETIS_CTYPE;
ctrl.IType = KMETIS_ITYPE;
ctrl.RType = KMETIS_RTYPE;
ctrl.dbglvl = KMETIS_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_KMETIS;
ctrl.CoarsenTo = 20*(*nparts);
ctrl.maxvwgt = 1.5*((graph.vwgt ? idxsum(*nvtxs, graph.vwgt, 1) : (*nvtxs))/ctrl.CoarsenTo);
InitRandom(options[7]);
AllocateWorkSpace(&ctrl, &graph, *nparts);
IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl));
IFSET(ctrl.dbglvl, DBG_TIME, gk_startcputimer(ctrl.TotalTmr));
*edgecut = MlevelKWayPartitioning(&ctrl, &graph, *nparts, part, tpwgts, 1.03);
IFSET(ctrl.dbglvl, DBG_TIME, gk_stopcputimer(ctrl.TotalTmr));
IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl));
FreeWorkSpace(&ctrl, &graph);
if (*numflag == 1)
Change2FNumbering(*nvtxs, xadj, adjncy, part);
}
int METIS_PartGraphKway(idx_t *nvtxs, idx_t *ncon, idx_t *xadj, idx_t *adjncy,
idx_t *vwgt, idx_t *vsize, idx_t *adjwgt, idx_t *nparts,
real_t *tpwgts, real_t *ubvec, idx_t *options, idx_t *objval,
idx_t *part)
{
int sigrval=0, renumber=0;
graph_t *graph;
ctrl_t *ctrl;
/* set up malloc cleaning code and signal catchers */
if (!gk_malloc_init())
return METIS_ERROR_MEMORY;
gk_sigtrap();
if ((sigrval = gk_sigcatch()) != 0)
goto SIGTHROW;
/* set up the run parameters */
ctrl = SetupCtrl(METIS_OP_KMETIS, options, *ncon, *nparts, tpwgts, ubvec);
if (!ctrl) {
gk_siguntrap();
return METIS_ERROR_INPUT;
}
/* if required, change the numbering to 0 */
if (ctrl->numflag == 1) {
Change2CNumbering(*nvtxs, xadj, adjncy);
renumber = 1;
}
/* set up the graph */
graph = SetupGraph(ctrl, *nvtxs, *ncon, xadj, adjncy, vwgt, vsize, adjwgt);
/* set up multipliers for making balance computations easier */
SetupKWayBalMultipliers(ctrl, graph);
/* set various run parameters that depend on the graph */
if (ctrl->iptype == METIS_IPTYPE_METISRB) {
ctrl->CoarsenTo = gk_max((*nvtxs)/(40*gk_log2(*nparts)), 30*(*nparts));
ctrl->CoarsenTo = 10*(*nparts);
ctrl->nIparts = (ctrl->CoarsenTo == 30*(*nparts) ? 4 : 5);
}
else {
ctrl->CoarsenTo = 10*(*nparts);
ctrl->nIparts = 10;
}
/* take care contiguity requests for disconnected graphs */
if (ctrl->contig && !IsConnected(graph, 0))
gk_errexit(SIGERR, "METIS Error: A contiguous partition is requested for a non-contiguous input graph.\n");
/* allocate workspace memory */
AllocateWorkSpace(ctrl, graph);
/* start the partitioning */
IFSET(ctrl->dbglvl, METIS_DBG_TIME, InitTimers(ctrl));
IFSET(ctrl->dbglvl, METIS_DBG_TIME, gk_startwctimer(ctrl->TotalTmr));
*objval = MlevelKWayPartitioning(ctrl, graph, part);
IFSET(ctrl->dbglvl, METIS_DBG_TIME, gk_stopwctimer(ctrl->TotalTmr));
IFSET(ctrl->dbglvl, METIS_DBG_TIME, PrintTimers(ctrl));
/* clean up */
FreeCtrl(&ctrl);
SIGTHROW:
/* if required, change the numbering back to 1 */
if (renumber)
Change2FNumbering(*nvtxs, xadj, adjncy, part);
gk_siguntrap();
gk_malloc_cleanup(0);
return metis_rcode(sigrval);
}
/*************************************************************************
* This function is the entry point for PWMETIS that accepts exact weights
* for the target partitions
**************************************************************************/
void METIS_mCPartGraphRecursive2(int *nvtxs, int *ncon, idxtype *xadj, idxtype *adjncy,
idxtype *vwgt, idxtype *adjwgt, int *wgtflag, int *numflag, int *nparts,
float *tpwgts, int *options, int *edgecut, idxtype *part)
{
int i, j;
GraphType graph;
CtrlType ctrl;
float *mytpwgts;
float avgwgt;
if (*numflag == 1)
Change2CNumbering(*nvtxs, xadj, adjncy);
SetUpGraph(&graph, OP_PMETIS, *nvtxs, *ncon, xadj, adjncy, vwgt, adjwgt, *wgtflag);
graph.npwgts = NULL;
mytpwgts = fmalloc(*nparts, "mytpwgts");
scopy(*nparts, tpwgts, mytpwgts);
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(options[7]);
AllocateWorkSpace(&ctrl, &graph, *nparts);
IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl));
IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr));
ASSERT(CheckGraph(&graph));
*edgecut = MCMlevelRecursiveBisection2(&ctrl, &graph, *nparts, mytpwgts, part, 1.000, 0);
/*
{
idxtype wgt[2048], minwgt, maxwgt, sumwgt;
printf("nvtxs: %d, nparts: %d, ncon: %d\n", graph.nvtxs, *nparts, *ncon);
for (i=0; i<(*nparts)*(*ncon); i++)
wgt[i] = 0;
for (i=0; i<graph.nvtxs; i++)
for (j=0; j<*ncon; j++)
wgt[part[i]*(*ncon)+j] += vwgt[i*(*ncon)+j];
for (j=0; j<*ncon; j++) {
minwgt = maxwgt = sumwgt = 0;
for (i=0; i<(*nparts); i++) {
minwgt = (wgt[i*(*ncon)+j] < wgt[minwgt*(*ncon)+j]) ? i : minwgt;
maxwgt = (wgt[i*(*ncon)+j] > wgt[maxwgt*(*ncon)+j]) ? i : maxwgt;
sumwgt += wgt[i*(*ncon)+j];
}
avgwgt = (float)sumwgt / (float)*nparts;
printf("min: %5d, max: %5d, avg: %5.2f, balance: %6.3f\n", wgt[minwgt*(*ncon)+j], wgt[maxwgt*(*ncon)+j], avgwgt, (float)wgt[maxwgt*(*ncon)+j] / avgwgt);
}
printf("\n");
}
*/
IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr));
IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl));
FreeWorkSpace(&ctrl, &graph);
GKfree((void**)(void *)&mytpwgts, LTERM);
if (*numflag == 1)
Change2FNumbering(*nvtxs, xadj, adjncy, part);
}
/*************************************************************************
* This function is the entry point for KMETIS
**************************************************************************/
void *METIS_PartGraphForContact(idxtype *nvtxs, idxtype *xadj, idxtype *adjncy,
double *xyzcoords, idxtype *sflag, idxtype *numflag, idxtype *nparts,
idxtype *options, idxtype *edgecut, idxtype *part)
{
idxtype i, j, ii, dim, ncon, wgtflag, mcnumflag, nnodes, nlnodes, nclean, naclean, ndirty, maxdepth, rwgtflag, rnumflag;
idxtype *mcvwgt, *dtpart, *marker, *leafpart;
idxtype *adjwgt;
float rubvec[2], lbvec[2];
GraphType graph, *cgraph;
ContactInfoType *cinfo;
DKeyValueType *xyzcand[3];
if (*numflag == 1)
Change2CNumbering(*nvtxs, xadj, adjncy);
/*---------------------------------------------------------------------
* Allocate memory for the contact info type
*---------------------------------------------------------------------*/
cinfo = (ContactInfoType *)gk_malloc(sizeof(ContactInfoType), "METIS_PartGraphForContact: cinfo");
cinfo->leafptr = idxsmalloc(*nvtxs+1, 0, "METIS_PartGraphForContact: leafptr");
cinfo->leafind = idxsmalloc(*nvtxs, 0, "METIS_PartGraphForContact: leafind");
cinfo->leafwgt = idxsmalloc(*nvtxs, 0, "METIS_PartGraphForContact: leafwgt");
cinfo->part = idxsmalloc(*nvtxs, 0, "METIS_PartGraphForContact: part");
leafpart = cinfo->leafpart = idxmalloc(*nvtxs, "METIS_PartGraphForContact: leafpart");
cinfo->dtree = (DTreeNodeType *)gk_malloc(sizeof(DTreeNodeType)*(*nvtxs), "METIS_PartGraphForContact: cinfo->dtree");
cinfo->nvtxs = *nvtxs;
/*---------------------------------------------------------------------
* Compute the initial k-way partitioning
*---------------------------------------------------------------------*/
mcvwgt = idxsmalloc(2*(*nvtxs), 0, "METIS_PartGraphForContact: mcvwgt");
for (i=0; i<*nvtxs; i++) {
mcvwgt[2*i+0] = 1;
mcvwgt[2*i+1] = (sflag[i] == 0 ? 0 : 1);
}
adjwgt = idxmalloc(xadj[*nvtxs], "METIS_PartGraphForContact: adjwgt");
for (i=0; i<*nvtxs; i++) {
for (j=xadj[i]; j<xadj[i+1]; j++)
adjwgt[j] = (sflag[i] && sflag[adjncy[j]] ? 5 : 1);
}
rubvec[0] = 1.03;
rubvec[1] = 1.05;
ncon = 2;
mcnumflag = 0;
wgtflag = 1;
METIS_mCPartGraphKway(nvtxs, &ncon, xadj, adjncy, mcvwgt, adjwgt, &wgtflag, &mcnumflag,
nparts, rubvec, options, edgecut, part);
/* The following is just for stat reporting purposes */
SetUpGraph(&graph, OP_KMETIS, *nvtxs, 2, xadj, adjncy, mcvwgt, NULL, 0);
graph.vwgt = mcvwgt;
ComputePartitionBalance(&graph, *nparts, part, lbvec);
mprintf(" %D-way Edge-Cut: %7D, Balance: %5.2f %5.2f\n", *nparts, ComputeCut(&graph, part), lbvec[0], lbvec[1]);
/*---------------------------------------------------------------------
* Induce the decission tree
*---------------------------------------------------------------------*/
dtpart = idxmalloc(*nvtxs, "METIS_PartGraphForContact: dtpart");
marker = idxsmalloc(*nvtxs, 0, "METIS_PartGraphForContact: marker");
for (dim=0; dim<3; dim++) {
xyzcand[dim] = (DKeyValueType *)gk_malloc(sizeof(DKeyValueType)*(*nvtxs), "METIS_PartGraphForContact: xyzcand[dim]");
for (i=0; i<*nvtxs; i++) {
xyzcand[dim][i].key = xyzcoords[3*i+dim];
xyzcand[dim][i].val = i;
}
idkeysort(*nvtxs, xyzcand[dim]);
}
nnodes = nlnodes = nclean = naclean = ndirty = maxdepth = 0;
InduceDecissionTree(*nvtxs, xyzcand, sflag, *nparts, part,
*nvtxs/(20*(*nparts)), *nvtxs/(20*(*nparts)*(*nparts)), 0.90,
&nnodes, &nlnodes, cinfo->dtree, leafpart, dtpart,
&nclean, &naclean, &ndirty, &maxdepth, marker);
mprintf("NNodes: %5D, NLNodes: %5D, NClean: %5D, NAClean: %5D, NDirty: %5D, MaxDepth: %3D\n", nnodes, nlnodes, nclean, naclean, ndirty, maxdepth);
/*---------------------------------------------------------------------
* Create the tree-induced coarse graph and refine it
*---------------------------------------------------------------------*/
cgraph = CreatePartitionGraphForContact(*nvtxs, xadj, adjncy, mcvwgt, adjwgt, nlnodes, leafpart);
for (i=0; i<*nvtxs; i++)
part[leafpart[i]] = dtpart[i];
ComputePartitionBalance(cgraph, *nparts, part, lbvec);
mprintf(" %D-way Edge-Cut: %7D, Balance: %5.2f %5.2f\n", *nparts, ComputeCut(cgraph, part), lbvec[0], lbvec[1]);
rwgtflag = 3;
rnumflag = 0;
METIS_mCRefineGraphKway(&(cgraph->nvtxs), &ncon, cgraph->xadj, cgraph->adjncy, cgraph->vwgt,
cgraph->adjwgt, &rwgtflag, &rnumflag, nparts, rubvec, options, edgecut,
part);
ComputePartitionBalance(cgraph, *nparts, part, lbvec);
mprintf(" %D-way Edge-Cut: %7D, Balance: %5.2f %5.2f\n", *nparts, ComputeCut(cgraph, part), lbvec[0], lbvec[1]);
/*---------------------------------------------------------------------
* Use that to compute the partition of the original graph
*---------------------------------------------------------------------*/
idxcopy(cgraph->nvtxs, part, dtpart);
for (i=0; i<*nvtxs; i++)
part[i] = dtpart[leafpart[i]];
ComputePartitionBalance(&graph, *nparts, part, lbvec);
idxset(*nvtxs, 1, graph.vwgt);
mprintf(" %D-way Edge-Cut: %7D, Volume: %7D, Balance: %5.2f %5.2f\n", *nparts,
ComputeCut(&graph, part), ComputeVolume(&graph, part), lbvec[0], lbvec[1]);
/*---------------------------------------------------------------------
* Induce the final decission tree
*---------------------------------------------------------------------*/
nnodes = nlnodes = nclean = naclean = ndirty = maxdepth = 0;
InduceDecissionTree(*nvtxs, xyzcand, sflag, *nparts, part,
*nvtxs/((40)*(*nparts)), 1, 1.00,
&nnodes, &nlnodes, cinfo->dtree, leafpart, dtpart,
&nclean, &naclean, &ndirty, &maxdepth, marker);
mprintf("NNodes: %5D, NLNodes: %5D, NClean: %5D, NAClean: %5D, NDirty: %5D, MaxDepth: %3D\n", nnodes, nlnodes, nclean, naclean, ndirty, maxdepth);
/*---------------------------------------------------------------------
* Populate the remaining fields of the cinfo data structure
*---------------------------------------------------------------------*/
cinfo->nnodes = nnodes;
cinfo->nleafs = nlnodes;
idxcopy(*nvtxs, part, cinfo->part);
BuildDTLeafContents(cinfo, sflag);
CheckDTree(*nvtxs, xyzcoords, part, cinfo);
gk_free((void **)&mcvwgt, &dtpart, &xyzcand[0], &xyzcand[1], &xyzcand[2], &marker, &adjwgt, LTERM);
if (*numflag == 1)
Change2FNumbering(*nvtxs, xadj, adjncy, part);
return (void *)cinfo;
}
