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diff --git a/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mkwayfmh.c b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mkwayfmh.c
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+++ b/benchmarks/CUDA/DG/3rdParty/ParMetis-3.1/METISLib/mkwayfmh.c
@@ -0,0 +1,677 @@
+/*
+ * mkwayfmh.c
+ *
+ * This file contains code that implements the multilevel k-way refinement
+ *
+ * Started 7/28/97
+ * George
+ *
+ * $Id: mkwayfmh.c,v 1.1 2003/07/16 15:55:10 karypis Exp $
+ *
+ */
+
+#include <metis.h>
+
+
+
+/*************************************************************************
+* This function performs k-way refinement
+**************************************************************************/
+void MCRandom_KWayEdgeRefineHorizontal(CtrlType *ctrl, GraphType *graph, int nparts,
+ float *orgubvec, int npasses)
+{
+ int i, ii, iii, j, jj, k, l, pass, nvtxs, ncon, nmoves, nbnd, myndegrees, same;
+ int from, me, to, oldcut, gain;
+ idxtype *xadj, *adjncy, *adjwgt;
+ idxtype *where, *perm, *bndptr, *bndind;
+ EDegreeType *myedegrees;
+ RInfoType *myrinfo;
+ float *npwgts, *nvwgt, *minwgt, *maxwgt, maxlb, minlb, ubvec[MAXNCON], tvec[MAXNCON];
+
+ nvtxs = graph->nvtxs;
+ ncon = graph->ncon;
+ xadj = graph->xadj;
+ adjncy = graph->adjncy;
+ adjwgt = graph->adjwgt;
+
+ bndptr = graph->bndptr;
+ bndind = graph->bndind;
+
+ where = graph->where;
+ npwgts = graph->npwgts;
+
+ /* Setup the weight intervals of the various subdomains */
+ minwgt = fwspacemalloc(ctrl, nparts*ncon);
+ maxwgt = fwspacemalloc(ctrl, nparts*ncon);
+
+ /* See if the orgubvec consists of identical constraints */
+ maxlb = minlb = orgubvec[0];
+ for (i=1; i<ncon; i++) {
+ minlb = (orgubvec[i] < minlb ? orgubvec[i] : minlb);
+ maxlb = (orgubvec[i] > maxlb ? orgubvec[i] : maxlb);
+ }
+ same = (fabs(maxlb-minlb) < .01 ? 1 : 0);
+
+
+ /* Let's not get very optimistic. Let Balancing do the work */
+ ComputeHKWayLoadImbalance(ncon, nparts, npwgts, ubvec);
+ for (i=0; i<ncon; i++)
+ ubvec[i] = amax(ubvec[i], orgubvec[i]);
+
+ if (!same) {
+ for (i=0; i<nparts; i++) {
+ for (j=0; j<ncon; j++) {
+ maxwgt[i*ncon+j] = ubvec[j]/nparts;
+ minwgt[i*ncon+j] = 1.0/(ubvec[j]*nparts);
+ }
+ }
+ }
+ else {
+ maxlb = ubvec[0];
+ for (i=1; i<ncon; i++)
+ maxlb = (ubvec[i] > maxlb ? ubvec[i] : maxlb);
+
+ for (i=0; i<nparts; i++) {
+ for (j=0; j<ncon; j++) {
+ maxwgt[i*ncon+j] = maxlb/nparts;
+ minwgt[i*ncon+j] = 1.0/(maxlb*nparts);
+ }
+ }
+ }
+
+
+ perm = idxwspacemalloc(ctrl, nvtxs);
+
+ if (ctrl->dbglvl&DBG_REFINE) {
+ printf("Partitions: [%5.4f %5.4f], Nv-Nb[%6d %6d]. Cut: %6d, LB: ",
+ npwgts[samin(ncon*nparts, npwgts)], npwgts[samax(ncon*nparts, npwgts)],
+ graph->nvtxs, graph->nbnd, graph->mincut);
+ ComputeHKWayLoadImbalance(ncon, nparts, npwgts, tvec);
+ for (i=0; i<ncon; i++)
+ printf("%.3f ", tvec[i]);
+ printf("\n");
+ }
+
+ for (pass=0; pass<npasses; pass++) {
+ ASSERT(ComputeCut(graph, where) == graph->mincut);
+
+ oldcut = graph->mincut;
+ nbnd = graph->nbnd;
+
+ RandomPermute(nbnd, perm, 1);
+ for (nmoves=iii=0; iii<graph->nbnd; iii++) {
+ ii = perm[iii];
+ if (ii >= nbnd)
+ continue;
+ i = bndind[ii];
+
+ myrinfo = graph->rinfo+i;
+
+ if (myrinfo->ed >= myrinfo->id) { /* Total ED is too high */
+ from = where[i];
+ nvwgt = graph->nvwgt+i*ncon;
+
+ if (myrinfo->id > 0 && AreAllHVwgtsBelow(ncon, 1.0, npwgts+from*ncon, -1.0, nvwgt, minwgt+from*ncon))
+ continue; /* This cannot be moved! */
+
+ myedegrees = myrinfo->edegrees;
+ myndegrees = myrinfo->ndegrees;
+
+ for (k=0; k<myndegrees; k++) {
+ to = myedegrees[k].pid;
+ gain = myedegrees[k].ed - myrinfo->id;
+ if (gain >= 0 &&
+ (AreAllHVwgtsBelow(ncon, 1.0, npwgts+to*ncon, 1.0, nvwgt, maxwgt+to*ncon) ||
+ IsHBalanceBetterFT(ncon, nparts, npwgts+from*ncon, npwgts+to*ncon, nvwgt, ubvec)))
+ break;
+ }
+ if (k == myndegrees)
+ continue; /* break out if you did not find a candidate */
+
+ for (j=k+1; j<myndegrees; j++) {
+ to = myedegrees[j].pid;
+ if ((myedegrees[j].ed > myedegrees[k].ed &&
+ (AreAllHVwgtsBelow(ncon, 1.0, npwgts+to*ncon, 1.0, nvwgt, maxwgt+to*ncon) ||
+ IsHBalanceBetterFT(ncon, nparts, npwgts+from*ncon, npwgts+to*ncon, nvwgt, ubvec))) ||
+ (myedegrees[j].ed == myedegrees[k].ed &&
+ IsHBalanceBetterTT(ncon, nparts, npwgts+myedegrees[k].pid*ncon, npwgts+to*ncon, nvwgt, ubvec)))
+ k = j;
+ }
+
+ to = myedegrees[k].pid;
+
+ if (myedegrees[k].ed-myrinfo->id == 0
+ && !IsHBalanceBetterFT(ncon, nparts, npwgts+from*ncon, npwgts+to*ncon, nvwgt, ubvec)
+ && AreAllHVwgtsBelow(ncon, 1.0, npwgts+from*ncon, 0.0, npwgts+from*ncon, maxwgt+from*ncon))
+ continue;
+
+ /*=====================================================================
+ * If we got here, we can now move the vertex from 'from' to 'to'
+ *======================================================================*/
+ graph->mincut -= myedegrees[k].ed-myrinfo->id;
+
+ IFSET(ctrl->dbglvl, DBG_MOVEINFO, printf("\t\tMoving %6d to %3d. Gain: %4d. Cut: %6d\n", i, to, myedegrees[k].ed-myrinfo->id, graph->mincut));
+
+ /* Update where, weight, and ID/ED information of the vertex you moved */
+ saxpy(ncon, 1.0, nvwgt, 1, npwgts+to*ncon, 1);
+ saxpy(ncon, -1.0, nvwgt, 1, npwgts+from*ncon, 1);
+ where[i] = to;
+ myrinfo->ed += myrinfo->id-myedegrees[k].ed;
+ SWAP(myrinfo->id, myedegrees[k].ed, j);
+ if (myedegrees[k].ed == 0)
+ myedegrees[k] = myedegrees[--myrinfo->ndegrees];
+ else
+ myedegrees[k].pid = from;
+
+ if (myrinfo->ed-myrinfo->id < 0)
+ BNDDelete(nbnd, bndind, bndptr, i);
+
+ /* Update the degrees of adjacent vertices */
+ for (j=xadj[i]; j<xadj[i+1]; j++) {
+ ii = adjncy[j];
+ me = where[ii];
+
+ myrinfo = graph->rinfo+ii;
+ if (myrinfo->edegrees == NULL) {
+ myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree;
+ ctrl->wspace.cdegree += xadj[ii+1]-xadj[ii];
+ }
+ myedegrees = myrinfo->edegrees;
+
+ ASSERT(CheckRInfo(myrinfo));
+
+ if (me == from) {
+ INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]);
+
+ if (myrinfo->ed-myrinfo->id >= 0 && bndptr[ii] == -1)
+ BNDInsert(nbnd, bndind, bndptr, ii);
+ }
+ else if (me == to) {
+ INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]);
+
+ if (myrinfo->ed-myrinfo->id < 0 && bndptr[ii] != -1)
+ BNDDelete(nbnd, bndind, bndptr, ii);
+ }
+
+ /* Remove contribution from the .ed of 'from' */
+ if (me != from) {
+ for (k=0; k<myrinfo->ndegrees; k++) {
+ if (myedegrees[k].pid == from) {
+ if (myedegrees[k].ed == adjwgt[j])
+ myedegrees[k] = myedegrees[--myrinfo->ndegrees];
+ else
+ myedegrees[k].ed -= adjwgt[j];
+ break;
+ }
+ }
+ }
+
+ /* Add contribution to the .ed of 'to' */
+ if (me != to) {
+ for (k=0; k<myrinfo->ndegrees; k++) {
+ if (myedegrees[k].pid == to) {
+ myedegrees[k].ed += adjwgt[j];
+ break;
+ }
+ }
+ if (k == myrinfo->ndegrees) {
+ myedegrees[myrinfo->ndegrees].pid = to;
+ myedegrees[myrinfo->ndegrees++].ed = adjwgt[j];
+ }
+ }
+
+ ASSERT(myrinfo->ndegrees <= xadj[ii+1]-xadj[ii]);
+ ASSERT(CheckRInfo(myrinfo));
+
+ }
+ nmoves++;
+ }
+ }
+
+ graph->nbnd = nbnd;
+
+ if (ctrl->dbglvl&DBG_REFINE) {
+ printf("\t [%5.4f %5.4f], Nb: %6d, Nmoves: %5d, Cut: %6d, LB: ",
+ npwgts[samin(ncon*nparts, npwgts)], npwgts[samax(ncon*nparts, npwgts)],
+ nbnd, nmoves, graph->mincut);
+ ComputeHKWayLoadImbalance(ncon, nparts, npwgts, tvec);
+ for (i=0; i<ncon; i++)
+ printf("%.3f ", tvec[i]);
+ printf("\n");
+ }
+
+ if (graph->mincut == oldcut)
+ break;
+ }
+
+ fwspacefree(ctrl, ncon*nparts);
+ fwspacefree(ctrl, ncon*nparts);
+ idxwspacefree(ctrl, nvtxs);
+}
+
+
+
+/*************************************************************************
+* This function performs k-way refinement
+**************************************************************************/
+void MCGreedy_KWayEdgeBalanceHorizontal(CtrlType *ctrl, GraphType *graph, int nparts,
+ float *ubvec, int npasses)
+{
+ int i, ii, iii, j, jj, k, l, pass, nvtxs, ncon, nbnd, myndegrees, oldgain, gain, nmoves;
+ int from, me, to, oldcut;
+ idxtype *xadj, *adjncy, *adjwgt;
+ idxtype *where, *perm, *bndptr, *bndind, *moved;
+ EDegreeType *myedegrees;
+ RInfoType *myrinfo;
+ PQueueType queue;
+ float *npwgts, *nvwgt, *minwgt, *maxwgt, tvec[MAXNCON];
+
+ nvtxs = graph->nvtxs;
+ ncon = graph->ncon;
+ xadj = graph->xadj;
+ adjncy = graph->adjncy;
+ adjwgt = graph->adjwgt;
+
+ bndind = graph->bndind;
+ bndptr = graph->bndptr;
+
+ where = graph->where;
+ npwgts = graph->npwgts;
+
+ /* Setup the weight intervals of the various subdomains */
+ minwgt = fwspacemalloc(ctrl, ncon*nparts);
+ maxwgt = fwspacemalloc(ctrl, ncon*nparts);
+
+ for (i=0; i<nparts; i++) {
+ for (j=0; j<ncon; j++) {
+ maxwgt[i*ncon+j] = ubvec[j]/nparts;
+ minwgt[i*ncon+j] = 1.0/(ubvec[j]*nparts);
+ }
+ }
+
+ perm = idxwspacemalloc(ctrl, nvtxs);
+ moved = idxwspacemalloc(ctrl, nvtxs);
+
+ PQueueInit(ctrl, &queue, nvtxs, graph->adjwgtsum[idxamax(nvtxs, graph->adjwgtsum)]);
+
+ if (ctrl->dbglvl&DBG_REFINE) {
+ printf("Partitions: [%5.4f %5.4f], Nv-Nb[%6d %6d]. Cut: %6d, LB: ",
+ npwgts[samin(ncon*nparts, npwgts)], npwgts[samax(ncon*nparts, npwgts)],
+ graph->nvtxs, graph->nbnd, graph->mincut);
+ ComputeHKWayLoadImbalance(ncon, nparts, npwgts, tvec);
+ for (i=0; i<ncon; i++)
+ printf("%.3f ", tvec[i]);
+ printf("[B]\n");
+ }
+
+
+ for (pass=0; pass<npasses; pass++) {
+ ASSERT(ComputeCut(graph, where) == graph->mincut);
+
+ /* Check to see if things are out of balance, given the tolerance */
+ if (MocIsHBalanced(ncon, nparts, npwgts, ubvec))
+ break;
+
+ PQueueReset(&queue);
+ idxset(nvtxs, -1, moved);
+
+ oldcut = graph->mincut;
+ nbnd = graph->nbnd;
+
+ RandomPermute(nbnd, perm, 1);
+ for (ii=0; ii<nbnd; ii++) {
+ i = bndind[perm[ii]];
+ PQueueInsert(&queue, i, graph->rinfo[i].ed - graph->rinfo[i].id);
+ moved[i] = 2;
+ }
+
+ nmoves = 0;
+ for (;;) {
+ if ((i = PQueueGetMax(&queue)) == -1)
+ break;
+ moved[i] = 1;
+
+ myrinfo = graph->rinfo+i;
+ from = where[i];
+ nvwgt = graph->nvwgt+i*ncon;
+
+ if (AreAllHVwgtsBelow(ncon, 1.0, npwgts+from*ncon, -1.0, nvwgt, minwgt+from*ncon))
+ continue; /* This cannot be moved! */
+
+ myedegrees = myrinfo->edegrees;
+ myndegrees = myrinfo->ndegrees;
+
+ for (k=0; k<myndegrees; k++) {
+ to = myedegrees[k].pid;
+ if (IsHBalanceBetterFT(ncon, nparts, npwgts+from*ncon, npwgts+to*ncon, nvwgt, ubvec))
+ break;
+ }
+ if (k == myndegrees)
+ continue; /* break out if you did not find a candidate */
+
+ for (j=k+1; j<myndegrees; j++) {
+ to = myedegrees[j].pid;
+ if (IsHBalanceBetterTT(ncon, nparts, npwgts+myedegrees[k].pid*ncon, npwgts+to*ncon, nvwgt, ubvec))
+ k = j;
+ }
+
+ to = myedegrees[k].pid;
+
+ j = 0;
+ if (!AreAllHVwgtsBelow(ncon, 1.0, npwgts+from*ncon, 0.0, nvwgt, maxwgt+from*ncon))
+ j++;
+ if (myedegrees[k].ed-myrinfo->id >= 0)
+ j++;
+ if (!AreAllHVwgtsAbove(ncon, 1.0, npwgts+to*ncon, 0.0, nvwgt, minwgt+to*ncon) &&
+ AreAllHVwgtsBelow(ncon, 1.0, npwgts+to*ncon, 1.0, nvwgt, maxwgt+to*ncon))
+ j++;
+ if (j == 0)
+ continue;
+
+/* DELETE
+ if (myedegrees[k].ed-myrinfo->id < 0 &&
+ AreAllHVwgtsBelow(ncon, 1.0, npwgts+from*ncon, 0.0, nvwgt, maxwgt+from*ncon) &&
+ AreAllHVwgtsAbove(ncon, 1.0, npwgts+to*ncon, 0.0, nvwgt, minwgt+to*ncon) &&
+ AreAllHVwgtsBelow(ncon, 1.0, npwgts+to*ncon, 1.0, nvwgt, maxwgt+to*ncon))
+ continue;
+*/
+ /*=====================================================================
+ * If we got here, we can now move the vertex from 'from' to 'to'
+ *======================================================================*/
+ graph->mincut -= myedegrees[k].ed-myrinfo->id;
+
+ IFSET(ctrl->dbglvl, DBG_MOVEINFO, printf("\t\tMoving %6d to %3d. Gain: %4d. Cut: %6d\n", i, to, myedegrees[k].ed-myrinfo->id, graph->mincut));
+
+ /* Update where, weight, and ID/ED information of the vertex you moved */
+ saxpy(ncon, 1.0, nvwgt, 1, npwgts+to*ncon, 1);
+ saxpy(ncon, -1.0, nvwgt, 1, npwgts+from*ncon, 1);
+ where[i] = to;
+ myrinfo->ed += myrinfo->id-myedegrees[k].ed;
+ SWAP(myrinfo->id, myedegrees[k].ed, j);
+ if (myedegrees[k].ed == 0)
+ myedegrees[k] = myedegrees[--myrinfo->ndegrees];
+ else
+ myedegrees[k].pid = from;
+
+ if (myrinfo->ed == 0)
+ BNDDelete(nbnd, bndind, bndptr, i);
+
+ /* Update the degrees of adjacent vertices */
+ for (j=xadj[i]; j<xadj[i+1]; j++) {
+ ii = adjncy[j];
+ me = where[ii];
+
+ myrinfo = graph->rinfo+ii;
+ if (myrinfo->edegrees == NULL) {
+ myrinfo->edegrees = ctrl->wspace.edegrees+ctrl->wspace.cdegree;
+ ctrl->wspace.cdegree += xadj[ii+1]-xadj[ii];
+ }
+ myedegrees = myrinfo->edegrees;
+
+ ASSERT(CheckRInfo(myrinfo));
+
+ oldgain = (myrinfo->ed-myrinfo->id);
+
+ if (me == from) {
+ INC_DEC(myrinfo->ed, myrinfo->id, adjwgt[j]);
+
+ if (myrinfo->ed > 0 && bndptr[ii] == -1)
+ BNDInsert(nbnd, bndind, bndptr, ii);
+ }
+ else if (me == to) {
+ INC_DEC(myrinfo->id, myrinfo->ed, adjwgt[j]);
+
+ if (myrinfo->ed == 0 && bndptr[ii] != -1)
+ BNDDelete(nbnd, bndind, bndptr, ii);
+ }
+
+ /* Remove contribution from the .ed of 'from' */
+ if (me != from) {
+ for (k=0; k<myrinfo->ndegrees; k++) {
+ if (myedegrees[k].pid == from) {
+ if (myedegrees[k].ed == adjwgt[j])
+ myedegrees[k] = myedegrees[--myrinfo->ndegrees];
+ else
+ myedegrees[k].ed -= adjwgt[j];
+ break;
+ }
+ }
+ }
+
+ /* Add contribution to the .ed of 'to' */
+ if (me != to) {
+ for (k=0; k<myrinfo->ndegrees; k++) {
+ if (myedegrees[k].pid == to) {
+ myedegrees[k].ed += adjwgt[j];
+ break;
+ }
+ }
+ if (k == myrinfo->ndegrees) {
+ myedegrees[myrinfo->ndegrees].pid = to;
+ myedegrees[myrinfo->ndegrees++].ed = adjwgt[j];
+ }
+ }
+
+
+ /* Update the queue */
+ if (me == to || me == from) {
+ gain = myrinfo->ed-myrinfo->id;
+ if (moved[ii] == 2) {
+ if (myrinfo->ed > 0)
+ PQueueUpdate(&queue, ii, oldgain, gain);
+ else {
+ PQueueDelete(&queue, ii, oldgain);
+ moved[ii] = -1;
+ }
+ }
+ else if (moved[ii] == -1 && myrinfo->ed > 0) {
+ PQueueInsert(&queue, ii, gain);
+ moved[ii] = 2;
+ }
+ }
+
+ ASSERT(myrinfo->ndegrees <= xadj[ii+1]-xadj[ii]);
+ ASSERT(CheckRInfo(myrinfo));
+ }
+ nmoves++;
+ }
+
+ graph->nbnd = nbnd;
+
+ if (ctrl->dbglvl&DBG_REFINE) {
+ printf("\t [%5.4f %5.4f], Nb: %6d, Nmoves: %5d, Cut: %6d, LB: ",
+ npwgts[samin(ncon*nparts, npwgts)], npwgts[samax(ncon*nparts, npwgts)],
+ nbnd, nmoves, graph->mincut);
+ ComputeHKWayLoadImbalance(ncon, nparts, npwgts, tvec);
+ for (i=0; i<ncon; i++)
+ printf("%.3f ", tvec[i]);
+ printf("\n");
+ }
+
+ if (nmoves == 0)
+ break;
+ }
+
+ PQueueFree(ctrl, &queue);
+
+ fwspacefree(ctrl, ncon*nparts);
+ fwspacefree(ctrl, ncon*nparts);
+ idxwspacefree(ctrl, nvtxs);
+ idxwspacefree(ctrl, nvtxs);
+
+}
+
+
+
+
+
+/*************************************************************************
+* This function checks if the vertex weights of two vertices are below
+* a given set of values
+**************************************************************************/
+int AreAllHVwgtsBelow(int ncon, float alpha, float *vwgt1, float beta, float *vwgt2, float *limit)
+{
+ int i;
+
+ for (i=0; i<ncon; i++)
+ if (alpha*vwgt1[i] + beta*vwgt2[i] > limit[i])
+ return 0;
+
+ return 1;
+}
+
+
+
+/*************************************************************************
+* This function checks if the vertex weights of two vertices are above
+* a given set of values
+**************************************************************************/
+int AreAllHVwgtsAbove(int ncon, float alpha, float *vwgt1, float beta, float *vwgt2, float *limit)
+{
+ int i;
+
+ for (i=0; i<ncon; i++)
+ if (alpha*vwgt1[i] + beta*vwgt2[i] < limit[i])
+ return 0;
+
+ return 1;
+}
+
+
+/*************************************************************************
+* This function computes the load imbalance over all the constrains
+* For now assume that we just want balanced partitionings
+**************************************************************************/
+void ComputeHKWayLoadImbalance(int ncon, int nparts, float *npwgts, float *lbvec)
+{
+ int i, j;
+ float max;
+
+ for (i=0; i<ncon; i++) {
+ max = 0.0;
+ for (j=0; j<nparts; j++) {
+ if (npwgts[j*ncon+i] > max)
+ max = npwgts[j*ncon+i];
+ }
+
+ lbvec[i] = max*nparts;
+ }
+}
+
+
+/*************************************************************************
+* This function determines if a partitioning is horizontally balanced
+**************************************************************************/
+int MocIsHBalanced(int ncon, int nparts, float *npwgts, float *ubvec)
+{
+ int i, j;
+ float max;
+
+ for (i=0; i<ncon; i++) {
+ max = 0.0;
+ for (j=0; j<nparts; j++) {
+ if (npwgts[j*ncon+i] > max)
+ max = npwgts[j*ncon+i];
+ }
+
+ if (ubvec[i] < max*nparts)
+ return 0;
+ }
+
+ return 1;
+}
+
+
+
+
+
+/*************************************************************************
+* This function checks if the pairwise balance of the between the two
+* partitions will improve by moving the vertex v from pfrom to pto,
+* subject to the target partition weights of tfrom, and tto respectively
+**************************************************************************/
+int IsHBalanceBetterFT(int ncon, int nparts, float *pfrom, float *pto, float *vwgt, float *ubvec)
+{
+ int i, j, k;
+ float blb1=0.0, alb1=0.0, sblb=0.0, salb=0.0;
+ float blb2=0.0, alb2=0.0;
+ float temp;
+
+ for (i=0; i<ncon; i++) {
+ temp = amax(pfrom[i], pto[i])*nparts/ubvec[i];
+ if (blb1 < temp) {
+ blb2 = blb1;
+ blb1 = temp;
+ }
+ else if (blb2 < temp)
+ blb2 = temp;
+ sblb += temp;
+
+ temp = amax(pfrom[i]-vwgt[i], pto[i]+vwgt[i])*nparts/ubvec[i];
+ if (alb1 < temp) {
+ alb2 = alb1;
+ alb1 = temp;
+ }
+ else if (alb2 < temp)
+ alb2 = temp;
+ salb += temp;
+ }
+
+ if (alb1 < blb1)
+ return 1;
+ if (blb1 < alb1)
+ return 0;
+ if (alb2 < blb2)
+ return 1;
+ if (blb2 < alb2)
+ return 0;
+
+ return salb < sblb;
+
+}
+
+
+
+
+/*************************************************************************
+* This function checks if it will be better to move a vertex to pt2 than
+* to pt1 subject to their target weights of tt1 and tt2, respectively
+* This routine takes into account the weight of the vertex in question
+**************************************************************************/
+int IsHBalanceBetterTT(int ncon, int nparts, float *pt1, float *pt2, float *vwgt, float *ubvec)
+{
+ int i;
+ float m11=0.0, m12=0.0, m21=0.0, m22=0.0, sm1=0.0, sm2=0.0, temp;
+
+ for (i=0; i<ncon; i++) {
+ temp = (pt1[i]+vwgt[i])*nparts/ubvec[i];
+ if (m11 < temp) {
+ m12 = m11;
+ m11 = temp;
+ }
+ else if (m12 < temp)
+ m12 = temp;
+ sm1 += temp;
+
+ temp = (pt2[i]+vwgt[i])*nparts/ubvec[i];
+ if (m21 < temp) {
+ m22 = m21;
+ m21 = temp;
+ }
+ else if (m22 < temp)
+ m22 = temp;
+ sm2 += temp;
+ }
+
+ if (m21 < m11)
+ return 1;
+ if (m21 > m11)
+ return 0;
+ if (m22 < m12)
+ return 1;
+ if (m22 > m12)
+ return 0;
+
+ return sm2 < sm1;
+}
+