/*************************************************************************
* This function takes a graph and produces a bisection of it
**************************************************************************/
void MlevelNestedDissection(CtrlType *ctrl, GraphType *graph, idxtype *order, float ubfactor, int lastvtx)
{
int i, j, nvtxs, nbnd, tvwgt, tpwgts2[2];
idxtype *label, *bndind;
GraphType lgraph, rgraph;
nvtxs = graph->nvtxs;
/* Determine the weights of the partitions */
tvwgt = idxsum(nvtxs, graph->vwgt);
tpwgts2[0] = tvwgt/2;
tpwgts2[1] = tvwgt-tpwgts2[0];
switch (ctrl->optype) {
case OP_OEMETIS:
MlevelEdgeBisection(ctrl, graph, tpwgts2, ubfactor);
IFSET(ctrl->dbglvl, DBG_TIME, starttimer(ctrl->SepTmr));
ConstructMinCoverSeparator(ctrl, graph, ubfactor);
IFSET(ctrl->dbglvl, DBG_TIME, stoptimer(ctrl->SepTmr));
break;
case OP_ONMETIS:
MlevelNodeBisectionMultiple(ctrl, graph, tpwgts2, ubfactor);
IFSET(ctrl->dbglvl, DBG_SEPINFO, printf("Nvtxs: %6d, [%6d %6d %6d]\n", graph->nvtxs, graph->pwgts[0], graph->pwgts[1], graph->pwgts[2]));
break;
}
/* Order the nodes in the separator */
nbnd = graph->nbnd;
bndind = graph->bndind;
label = graph->label;
for (i=0; i<nbnd; i++)
order[label[bndind[i]]] = --lastvtx;
SplitGraphOrder(ctrl, graph, &lgraph, &rgraph);
/* Free the memory of the top level graph */
/*GKfree(&graph->gdata, &graph->rdata, &graph->label, LTERM);*/
GKfree3((void **)&graph->gdata, (void**)&graph->rdata, (void **)&graph->label);
if (rgraph.nvtxs > MMDSWITCH)
MlevelNestedDissection(ctrl, &rgraph, order, ubfactor, lastvtx);
else {
MMDOrder(ctrl, &rgraph, order, lastvtx);
/*GKfree(&rgraph.gdata, &rgraph.rdata, &rgraph.label, LTERM);*/
GKfree3((void**)&rgraph.gdata, (void**)&rgraph.rdata, (void**)&rgraph.label);
}
if (lgraph.nvtxs > MMDSWITCH)
MlevelNestedDissection(ctrl, &lgraph, order, ubfactor, lastvtx-rgraph.nvtxs);
else {
MMDOrder(ctrl, &lgraph, order, lastvtx-rgraph.nvtxs);
/*GKfree(&lgraph.gdata, &lgraph.rdata, &lgraph.label, LTERM);*/
GKfree3((void**)&lgraph.gdata, (void**)&lgraph.rdata, (void**)&lgraph.label);
}
}
void MlevelNestedDissection(ctrl_t *ctrl, graph_t *graph, idx_t *order,
idx_t lastvtx)
{
idx_t i, j, nvtxs, nbnd;
idx_t *label, *bndind;
graph_t *lgraph, *rgraph;
nvtxs = graph->nvtxs;
MlevelNodeBisectionMultiple(ctrl, graph);
IFSET(ctrl->dbglvl, METIS_DBG_SEPINFO,
printf("Nvtxs: %6"PRIDX", [%6"PRIDX" %6"PRIDX" %6"PRIDX"]\n",
graph->nvtxs, graph->pwgts[0], graph->pwgts[1], graph->pwgts[2]));
/* Order the nodes in the separator */
nbnd = graph->nbnd;
bndind = graph->bndind;
label = graph->label;
for (i=0; i<nbnd; i++)
order[label[bndind[i]]] = --lastvtx;
SplitGraphOrder(ctrl, graph, &lgraph, &rgraph);
/* Free the memory of the top level graph */
FreeGraph(&graph);
/* Recurse on lgraph first, as its lastvtx depends on rgraph->nvtxs, which
will not be defined upon return from MlevelNestedDissection. */
if (lgraph->nvtxs > MMDSWITCH && lgraph->nedges > 0)
MlevelNestedDissection(ctrl, lgraph, order, lastvtx-rgraph->nvtxs);
else {
MMDOrder(ctrl, lgraph, order, lastvtx-rgraph->nvtxs);
FreeGraph(&lgraph);
}
if (rgraph->nvtxs > MMDSWITCH && rgraph->nedges > 0)
MlevelNestedDissection(ctrl, rgraph, order, lastvtx);
else {
MMDOrder(ctrl, rgraph, order, lastvtx);
FreeGraph(&rgraph);
}
}
/*************************************************************************
* This function is the entry point for OEMETIS
**************************************************************************/
void METIS_EdgeND(int *nvtxs, idxtype *xadj, idxtype *adjncy, int *numflag, int *options,
idxtype *perm, idxtype *iperm)
{
int i, j;
GraphType graph;
CtrlType ctrl;
if (*numflag == 1)
Change2CNumbering(*nvtxs, xadj, adjncy);
SetUpGraph(&graph, OP_OEMETIS, *nvtxs, 1, xadj, adjncy, NULL, NULL, 0);
if (options[0] == 0) { /* Use the default parameters */
ctrl.CType = OEMETIS_CTYPE;
ctrl.IType = OEMETIS_ITYPE;
ctrl.RType = OEMETIS_RTYPE;
ctrl.dbglvl = OEMETIS_DBGLVL;
}
else {
ctrl.CType = options[OPTION_CTYPE];
ctrl.IType = options[OPTION_ITYPE];
ctrl.RType = options[OPTION_RTYPE];
ctrl.dbglvl = options[OPTION_DBGLVL];
}
ctrl.oflags = 0;
ctrl.pfactor = -1;
ctrl.nseps = 1;
ctrl.optype = OP_OEMETIS;
ctrl.CoarsenTo = 20;
ctrl.maxvwgt = 1.5*(idxsum(*nvtxs, graph.vwgt)/ctrl.CoarsenTo);
InitRandom(-1);
AllocateWorkSpace(&ctrl, &graph, 2);
IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl));
IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr));
MlevelNestedDissection(&ctrl, &graph, iperm, ORDER_UNBALANCE_FRACTION, *nvtxs);
IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr));
IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl));
for (i=0; i<*nvtxs; i++)
perm[iperm[i]] = i;
FreeWorkSpace(&ctrl, &graph);
if (*numflag == 1)
Change2FNumberingOrder(*nvtxs, xadj, adjncy, perm, iperm);
}
int METIS_NodeND(idx_t *nvtxs, idx_t *xadj, idx_t *adjncy, idx_t *vwgt,
idx_t *options, idx_t *perm, idx_t *iperm)
{
int sigrval=0, renumber=0;
idx_t i, ii, j, l, nnvtxs=0;
graph_t *graph=NULL;
ctrl_t *ctrl;
idx_t *cptr, *cind, *piperm;
int numflag = 0;
/* 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 time parameters */
ctrl = SetupCtrl(METIS_OP_OMETIS, options, 1, 3, NULL, NULL);
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;
}
IFSET(ctrl->dbglvl, METIS_DBG_TIME, InitTimers(ctrl));
IFSET(ctrl->dbglvl, METIS_DBG_TIME, gk_startcputimer(ctrl->TotalTmr));
/* prune the dense columns */
if (ctrl->pfactor > 0.0) {
piperm = imalloc(*nvtxs, "OMETIS: piperm");
graph = PruneGraph(ctrl, *nvtxs, xadj, adjncy, vwgt, piperm, ctrl->pfactor);
if (graph == NULL) {
/* if there was no prunning, cleanup the pfactor */
gk_free((void **)&piperm, LTERM);
ctrl->pfactor = 0.0;
}
else {
nnvtxs = graph->nvtxs;
ctrl->compress = 0; /* disable compression if prunning took place */
}
}
/* compress the graph; note that compression only happens if not prunning
has taken place. */
if (ctrl->compress) {
cptr = imalloc(*nvtxs+1, "OMETIS: cptr");
cind = imalloc(*nvtxs, "OMETIS: cind");
graph = CompressGraph(ctrl, *nvtxs, xadj, adjncy, vwgt, cptr, cind);
if (graph == NULL) {
/* if there was no compression, cleanup the compress flag */
gk_free((void **)&cptr, &cind, LTERM);
ctrl->compress = 0;
}
else {
nnvtxs = graph->nvtxs;
ctrl->cfactor = 1.0*(*nvtxs)/nnvtxs;
if (ctrl->cfactor > 1.5 && ctrl->nseps == 1)
ctrl->nseps = 2;
//ctrl->nseps = (idx_t)(ctrl->cfactor*ctrl->nseps);
}
}
/* if no prunning and no compression, setup the graph in the normal way. */
if (ctrl->pfactor == 0.0 && ctrl->compress == 0)
graph = SetupGraph(ctrl, *nvtxs, 1, xadj, adjncy, vwgt, NULL, NULL);
ASSERT(CheckGraph(graph, ctrl->numflag, 1));
/* allocate workspace memory */
AllocateWorkSpace(ctrl, graph);
/* do the nested dissection ordering */
if (ctrl->ccorder)
MlevelNestedDissectionCC(ctrl, graph, iperm, graph->nvtxs);
else
MlevelNestedDissection(ctrl, graph, iperm, graph->nvtxs);
if (ctrl->pfactor > 0.0) { /* Order any prunned vertices */
icopy(nnvtxs, iperm, perm); /* Use perm as an auxiliary array */
for (i=0; i<nnvtxs; i++)
iperm[piperm[i]] = perm[i];
for (i=nnvtxs; i<*nvtxs; i++)
iperm[piperm[i]] = i;
gk_free((void **)&piperm, LTERM);
}
else if (ctrl->compress) { /* Uncompress the ordering */
/* construct perm from iperm */
for (i=0; i<nnvtxs; i++)
perm[iperm[i]] = i;
for (l=ii=0; ii<nnvtxs; ii++) {
i = perm[ii];
for (j=cptr[i]; j<cptr[i+1]; j++)
iperm[cind[j]] = l++;
}
gk_free((void **)&cptr, &cind, LTERM);
}
for (i=0; i<*nvtxs; i++)
perm[iperm[i]] = i;
IFSET(ctrl->dbglvl, METIS_DBG_TIME, gk_stopcputimer(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)
Change2FNumberingOrder(*nvtxs, xadj, adjncy, perm, iperm);
gk_siguntrap();
gk_malloc_cleanup(0);
return metis_rcode(sigrval);
}
/*************************************************************************
* This function is the entry point for ONCMETIS
**************************************************************************/
void METIS_NodeND(int *nvtxs, idxtype *xadj, idxtype *adjncy, int *numflag, int *options,
idxtype *perm, idxtype *iperm)
{
int i, ii, j, l, wflag, nflag;
GraphType graph;
CtrlType ctrl;
idxtype *cptr, *cind, *piperm;
if (*numflag == 1)
Change2CNumbering(*nvtxs, xadj, adjncy);
if (options[0] == 0) { /* Use the default parameters */
ctrl.CType = ONMETIS_CTYPE;
ctrl.IType = ONMETIS_ITYPE;
ctrl.RType = ONMETIS_RTYPE;
ctrl.dbglvl = ONMETIS_DBGLVL;
ctrl.oflags = ONMETIS_OFLAGS;
ctrl.pfactor = ONMETIS_PFACTOR;
ctrl.nseps = ONMETIS_NSEPS;
}
else {
ctrl.CType = options[OPTION_CTYPE];
ctrl.IType = options[OPTION_ITYPE];
ctrl.RType = options[OPTION_RTYPE];
ctrl.dbglvl = options[OPTION_DBGLVL];
ctrl.oflags = options[OPTION_OFLAGS];
ctrl.pfactor = options[OPTION_PFACTOR];
ctrl.nseps = options[OPTION_NSEPS];
}
if (ctrl.nseps < 1)
ctrl.nseps = 1;
ctrl.optype = OP_ONMETIS;
ctrl.CoarsenTo = 100;
IFSET(ctrl.dbglvl, DBG_TIME, InitTimers(&ctrl));
IFSET(ctrl.dbglvl, DBG_TIME, starttimer(ctrl.TotalTmr));
InitRandom(-1);
if (ctrl.pfactor > 0) {
/*============================================================
* Prune the dense columns
==============================================================*/
piperm = idxmalloc(*nvtxs, "ONMETIS: piperm");
PruneGraph(&ctrl, &graph, *nvtxs, xadj, adjncy, piperm, (float)(0.1*ctrl.pfactor));
}
else if (ctrl.oflags&OFLAG_COMPRESS) {
/*============================================================
* Compress the graph
==============================================================*/
cptr = idxmalloc(*nvtxs+1, "ONMETIS: cptr");
cind = idxmalloc(*nvtxs, "ONMETIS: cind");
CompressGraph(&ctrl, &graph, *nvtxs, xadj, adjncy, cptr, cind);
if (graph.nvtxs >= COMPRESSION_FRACTION*(*nvtxs)) {
ctrl.oflags--; /* We actually performed no compression */
GKfree(&cptr, &cind, LTERM);
}
else if (2*graph.nvtxs < *nvtxs && ctrl.nseps == 1)
ctrl.nseps = 2;
}
else {
SetUpGraph(&graph, OP_ONMETIS, *nvtxs, 1, xadj, adjncy, NULL, NULL, 0);
}
/*=============================================================
* Do the nested dissection ordering
--=============================================================*/
ctrl.maxvwgt = 1.5*(idxsum(graph.nvtxs, graph.vwgt)/ctrl.CoarsenTo);
AllocateWorkSpace(&ctrl, &graph, 2);
if (ctrl.oflags&OFLAG_CCMP)
MlevelNestedDissectionCC(&ctrl, &graph, iperm, ORDER_UNBALANCE_FRACTION, graph.nvtxs);
else
MlevelNestedDissection(&ctrl, &graph, iperm, ORDER_UNBALANCE_FRACTION, graph.nvtxs);
FreeWorkSpace(&ctrl, &graph);
if (ctrl.pfactor > 0) { /* Order any prunned vertices */
if (graph.nvtxs < *nvtxs) {
idxcopy(graph.nvtxs, iperm, perm); /* Use perm as an auxiliary array */
for (i=0; i<graph.nvtxs; i++)
iperm[piperm[i]] = perm[i];
for (i=graph.nvtxs; i<*nvtxs; i++)
iperm[piperm[i]] = i;
}
GKfree(&piperm, LTERM);
}
else if (ctrl.oflags&OFLAG_COMPRESS) { /* Uncompress the ordering */
if (graph.nvtxs < COMPRESSION_FRACTION*(*nvtxs)) {
/* construct perm from iperm */
for (i=0; i<graph.nvtxs; i++)
perm[iperm[i]] = i;
for (l=ii=0; ii<graph.nvtxs; ii++) {
i = perm[ii];
for (j=cptr[i]; j<cptr[i+1]; j++)
iperm[cind[j]] = l++;
}
}
GKfree(&cptr, &cind, LTERM);
}
for (i=0; i<*nvtxs; i++)
perm[iperm[i]] = i;
IFSET(ctrl.dbglvl, DBG_TIME, stoptimer(ctrl.TotalTmr));
IFSET(ctrl.dbglvl, DBG_TIME, PrintTimers(&ctrl));
if (*numflag == 1)
Change2FNumberingOrder(*nvtxs, xadj, adjncy, perm, iperm);
}