Exemplo n.º 1
0
/*************************************************************************
* This function is the entry point of the bisection balancing algorithms.
**************************************************************************/
void MocBalance2Way(CtrlType *ctrl, GraphType *graph, float *tpwgts, float lbfactor)
{

  if (Compute2WayHLoadImbalance(graph->ncon, graph->npwgts, tpwgts) < lbfactor)
    return;

  MocGeneral2WayBalance(ctrl, graph, tpwgts, lbfactor);

}
Exemplo n.º 2
0
/*************************************************************************
* This function balances two partitions by moving the highest gain 
* (including negative gain) vertices to the other domain.
* It is used only when tha unbalance is due to non contigous
* subdomains. That is, the are no boundary vertices.
* It moves vertices from the domain that is overweight to the one that 
* is underweight.
**************************************************************************/
void MocInit2WayBalance(CtrlType *ctrl, GraphType *graph, float *tpwgts)
{
  int i, ii, j, k, l, kwgt, nvtxs, nbnd, ncon, nswaps, from, to, pass, me, cnum, tmp;
  idxtype *xadj, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind;
  idxtype *perm, *qnum;
  float *nvwgt, *npwgts;
  PQueueType parts[MAXNCON][2];
  int higain, oldgain, mincut;

  nvtxs = graph->nvtxs;
  ncon = graph->ncon;
  xadj = graph->xadj;
  adjncy = graph->adjncy;
  nvwgt = graph->nvwgt;
  adjwgt = graph->adjwgt;
  where = graph->where;
  id = graph->id;
  ed = graph->ed;
  npwgts = graph->npwgts;
  bndptr = graph->bndptr;
  bndind = graph->bndind;

  perm = idxwspacemalloc(ctrl, nvtxs);
  qnum = idxwspacemalloc(ctrl, nvtxs);

  /* This is called for initial partitioning so we know from where to pick nodes */
  from = 1;
  to = (from+1)%2;

  if (ctrl->dbglvl&DBG_REFINE) {
    printf("Parts: [");
    for (l=0; l<ncon; l++)
      printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]);
    printf("] T[%.3f %.3f], Nv-Nb[%5d, %5d]. ICut: %6d, LB: %.3f [B]\n", tpwgts[0], tpwgts[1], 
           graph->nvtxs, graph->nbnd, graph->mincut, 
           Compute2WayHLoadImbalance(ncon, npwgts, tpwgts));
  }

  for (i=0; i<ncon; i++) {
    PQueueInit(ctrl, &parts[i][0], nvtxs, PLUS_GAINSPAN+1);
    PQueueInit(ctrl, &parts[i][1], nvtxs, PLUS_GAINSPAN+1);
  }

  ASSERT(ComputeCut(graph, where) == graph->mincut);
  ASSERT(CheckBnd(graph));
  ASSERT(CheckGraph(graph));

  /* Compute the queues in which each vertex will be assigned to */
  for (i=0; i<nvtxs; i++)
    qnum[i] = samax(ncon, nvwgt+i*ncon);

  /* Insert the nodes of the proper partition in the appropriate priority queue */
  RandomPermute(nvtxs, perm, 1);
  for (ii=0; ii<nvtxs; ii++) {
    i = perm[ii];
    if (where[i] == from) {
      if (ed[i] > 0)
        PQueueInsert(&parts[qnum[i]][0], i, ed[i]-id[i]);
      else
        PQueueInsert(&parts[qnum[i]][1], i, ed[i]-id[i]);
    }
  }


  mincut = graph->mincut;
  nbnd = graph->nbnd;
  for (nswaps=0; nswaps<nvtxs; nswaps++) {
    if (AreAnyVwgtsBelow(ncon, 1.0, npwgts+from*ncon, 0.0, nvwgt, tpwgts[from]))
      break;

    if ((cnum = SelectQueueOneWay(ncon, npwgts, tpwgts, from, parts)) == -1)
      break;

    if ((higain = PQueueGetMax(&parts[cnum][0])) == -1)
      higain = PQueueGetMax(&parts[cnum][1]);

    mincut -= (ed[higain]-id[higain]);
    saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1);
    saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1);

    where[higain] = to;

    if (ctrl->dbglvl&DBG_MOVEINFO) {
      printf("Moved %6d from %d(%d). [%5d] %5d, NPwgts: ", higain, from, cnum, ed[higain]-id[higain], mincut);
      for (l=0; l<ncon; l++) 
        printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]);
      printf(", LB: %.3f\n", Compute2WayHLoadImbalance(ncon, npwgts, tpwgts));
      if (ed[higain] == 0 && id[higain] > 0)
        printf("\t Pulled from the interior!\n");
    }


    /**************************************************************
    * Update the id[i]/ed[i] values of the affected nodes
    ***************************************************************/
    SWAP(id[higain], ed[higain], tmp);
    if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1]) 
      BNDDelete(nbnd, bndind,  bndptr, higain);
    if (ed[higain] > 0 && bndptr[higain] == -1)
      BNDInsert(nbnd, bndind,  bndptr, higain);

    for (j=xadj[higain]; j<xadj[higain+1]; j++) {
      k = adjncy[j];
      oldgain = ed[k]-id[k];

      kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]);
      INC_DEC(id[k], ed[k], kwgt);

      /* Update the queue position */
      if (where[k] == from) {
        if (ed[k] > 0 && bndptr[k] == -1) {  /* It moves in boundary */
          PQueueDelete(&parts[qnum[k]][1], k, oldgain);
          PQueueInsert(&parts[qnum[k]][0], k, ed[k]-id[k]);
        }
        else { /* It must be in the boundary already */
          if (bndptr[k] == -1)
            printf("What you thought was wrong!\n");
          PQueueUpdate(&parts[qnum[k]][0], k, oldgain, ed[k]-id[k]);
        }
      }

      /* Update its boundary information */
      if (ed[k] == 0 && bndptr[k] != -1) 
        BNDDelete(nbnd, bndind, bndptr, k);
      else if (ed[k] > 0 && bndptr[k] == -1)  
        BNDInsert(nbnd, bndind, bndptr, k);
    }

    ASSERTP(ComputeCut(graph, where) == mincut, ("%d != %d\n", ComputeCut(graph, where), mincut));

  }

  if (ctrl->dbglvl&DBG_REFINE) {
    printf("\tMincut: %6d, NBND: %6d, NPwgts: ", mincut, nbnd);
    for (l=0; l<ncon; l++)
      printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]);
    printf(", LB: %.3f\n", Compute2WayHLoadImbalance(ncon, npwgts, tpwgts));
  }

  graph->mincut = mincut;
  graph->nbnd = nbnd;

  for (i=0; i<ncon; i++) {
    PQueueFree(ctrl, &parts[i][0]);
    PQueueFree(ctrl, &parts[i][1]);
  }

  ASSERT(ComputeCut(graph, where) == graph->mincut);
  ASSERT(CheckBnd(graph));

  idxwspacefree(ctrl, nvtxs);
  idxwspacefree(ctrl, nvtxs);
}
Exemplo n.º 3
0
/*************************************************************************
* This function performs an edge-based FM refinement
**************************************************************************/
void MocGeneral2WayBalance(CtrlType *ctrl, GraphType *graph, float *tpwgts, float lbfactor)
{
  int i, ii, j, k, l, kwgt, nvtxs, ncon, nbnd, nswaps, from, to, pass, me, limit, tmp, cnum;
  idxtype *xadj, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind;
  idxtype *moved, *swaps, *perm, *qnum;
  float *nvwgt, *npwgts, mindiff[MAXNCON], origbal, minbal, newbal;
  PQueueType parts[MAXNCON][2];
  int higain, oldgain, mincut, newcut, mincutorder;
  int qsizes[MAXNCON][2];

  nvtxs = graph->nvtxs;
  ncon = graph->ncon;
  xadj = graph->xadj;
  nvwgt = graph->nvwgt;
  adjncy = graph->adjncy;
  adjwgt = graph->adjwgt;
  where = graph->where;
  id = graph->id;
  ed = graph->ed;
  npwgts = graph->npwgts;
  bndptr = graph->bndptr;
  bndind = graph->bndind;

  moved = idxwspacemalloc(ctrl, nvtxs);
  swaps = idxwspacemalloc(ctrl, nvtxs);
  perm = idxwspacemalloc(ctrl, nvtxs);
  qnum = idxwspacemalloc(ctrl, nvtxs);

  limit = amin(amax(0.01*nvtxs, 15), 100);

  /* Initialize the queues */
  for (i=0; i<ncon; i++) {
    PQueueInit(ctrl, &parts[i][0], nvtxs, PLUS_GAINSPAN+1);
    PQueueInit(ctrl, &parts[i][1], nvtxs, PLUS_GAINSPAN+1);
    qsizes[i][0] = qsizes[i][1] = 0;
  }

  for (i=0; i<nvtxs; i++) {
    qnum[i] = samax(ncon, nvwgt+i*ncon);
    qsizes[qnum[i]][where[i]]++;
  }

/*
  printf("Weight Distribution:    \t");
  for (i=0; i<ncon; i++) 
    printf(" [%d %d]", qsizes[i][0], qsizes[i][1]); 
  printf("\n");
*/

  for (from=0; from<2; from++) {
    for (j=0; j<ncon; j++) {
      if (qsizes[j][from] == 0) {
        for (i=0; i<nvtxs; i++) {
          if (where[i] != from)
            continue;

          k = samax2(ncon, nvwgt+i*ncon);
          if (k == j && qsizes[qnum[i]][from] > qsizes[j][from] && nvwgt[i*ncon+qnum[i]] < 1.3*nvwgt[i*ncon+j]) {
            qsizes[qnum[i]][from]--;
            qsizes[j][from]++;
            qnum[i] = j;
          }
        }
      }
    }
  }

/*
  printf("Weight Distribution (after):\t ");
  for (i=0; i<ncon; i++) 
    printf(" [%d %d]", qsizes[i][0], qsizes[i][1]); 
  printf("\n");
*/



  for (i=0; i<ncon; i++) 
    mindiff[i] = fabs(tpwgts[0]-npwgts[i]);
  minbal = origbal = Compute2WayHLoadImbalance(ncon, npwgts, tpwgts);
  newcut = mincut = graph->mincut;
  mincutorder = -1;

  if (ctrl->dbglvl&DBG_REFINE) {
    printf("Parts: [");
    for (l=0; l<ncon; l++)
      printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]);
    printf("] T[%.3f %.3f], Nv-Nb[%5d, %5d]. ICut: %6d, LB: %.3f [B]\n", tpwgts[0], tpwgts[1], graph->nvtxs, graph->nbnd, graph->mincut, origbal);
  }

  idxset(nvtxs, -1, moved);

  ASSERT(ComputeCut(graph, where) == graph->mincut);
  ASSERT(CheckBnd(graph));

  /* Insert all nodes in the priority queues */
  nbnd = graph->nbnd;
  RandomPermute(nvtxs, perm, 1);
  for (ii=0; ii<nvtxs; ii++) {
    i = perm[ii];
    PQueueInsert(&parts[qnum[i]][where[i]], i, ed[i]-id[i]);
  }

  for (nswaps=0; nswaps<nvtxs; nswaps++) {
    if (minbal < lbfactor)
      break;

    SelectQueue(ncon, npwgts, tpwgts, &from, &cnum, parts);
    to = (from+1)%2;

    if (from == -1 || (higain = PQueueGetMax(&parts[cnum][from])) == -1)
      break;

    saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1);
    saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1);
    newcut -= (ed[higain]-id[higain]);
    newbal = Compute2WayHLoadImbalance(ncon, npwgts, tpwgts);

    if (newbal < minbal || (newbal == minbal && 
        (newcut < mincut || (newcut == mincut && BetterBalance(ncon, npwgts, tpwgts, mindiff))))) {
      mincut = newcut;
      minbal = newbal;
      mincutorder = nswaps;
      for (i=0; i<ncon; i++)
        mindiff[i] = fabs(tpwgts[0]-npwgts[i]);
    }
    else if (nswaps-mincutorder > limit) { /* We hit the limit, undo last move */
      newcut += (ed[higain]-id[higain]);
      saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1);
      saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1);
      break;
    }

    where[higain] = to;
    moved[higain] = nswaps;
    swaps[nswaps] = higain;

    if (ctrl->dbglvl&DBG_MOVEINFO) {
      printf("Moved %6d from %d(%d). Gain: %5d, Cut: %5d, NPwgts: ", higain, from, cnum, ed[higain]-id[higain], newcut);
      for (l=0; l<ncon; l++) 
        printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]);
      printf(", %.3f LB: %.3f\n", minbal, newbal);
    }


    /**************************************************************
    * Update the id[i]/ed[i] values of the affected nodes
    ***************************************************************/
    SWAP(id[higain], ed[higain], tmp);
    if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1]) 
      BNDDelete(nbnd, bndind,  bndptr, higain);
    if (ed[higain] > 0 && bndptr[higain] == -1)
      BNDInsert(nbnd, bndind,  bndptr, higain);

    for (j=xadj[higain]; j<xadj[higain+1]; j++) {
      k = adjncy[j];
      oldgain = ed[k]-id[k];

      kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]);
      INC_DEC(id[k], ed[k], kwgt);

      /* Update the queue position */
      if (moved[k] == -1)
        PQueueUpdate(&parts[qnum[k]][where[k]], k, oldgain, ed[k]-id[k]);

      /* Update its boundary information */
      if (ed[k] == 0 && bndptr[k] != -1) 
        BNDDelete(nbnd, bndind, bndptr, k);
      else if (ed[k] > 0 && bndptr[k] == -1)  
        BNDInsert(nbnd, bndind, bndptr, k);
    }
  }



  /****************************************************************
  * Roll back computations
  *****************************************************************/
  for (nswaps--; nswaps>mincutorder; nswaps--) {
    higain = swaps[nswaps];

    to = where[higain] = (where[higain]+1)%2;
    SWAP(id[higain], ed[higain], tmp);
    if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1])
      BNDDelete(nbnd, bndind,  bndptr, higain);
    else if (ed[higain] > 0 && bndptr[higain] == -1)
      BNDInsert(nbnd, bndind,  bndptr, higain);

    saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1);
    saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+((to+1)%2)*ncon, 1);
    for (j=xadj[higain]; j<xadj[higain+1]; j++) {
      k = adjncy[j];

      kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]);
      INC_DEC(id[k], ed[k], kwgt);

      if (bndptr[k] != -1 && ed[k] == 0)
        BNDDelete(nbnd, bndind, bndptr, k);
      if (bndptr[k] == -1 && ed[k] > 0)
        BNDInsert(nbnd, bndind, bndptr, k);
    }
  }

  if (ctrl->dbglvl&DBG_REFINE) {
    printf("\tMincut: %6d at %5d, NBND: %6d, NPwgts: [", mincut, mincutorder, nbnd);
    for (l=0; l<ncon; l++)
      printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]);
    printf("], LB: %.3f\n", Compute2WayHLoadImbalance(ncon, npwgts, tpwgts));
  }

  graph->mincut = mincut;
  graph->nbnd = nbnd;


  for (i=0; i<ncon; i++) {
    PQueueFree(ctrl, &parts[i][0]);
    PQueueFree(ctrl, &parts[i][1]);
  }

  idxwspacefree(ctrl, nvtxs);
  idxwspacefree(ctrl, nvtxs);
  idxwspacefree(ctrl, nvtxs);
  idxwspacefree(ctrl, nvtxs);

}
Exemplo n.º 4
0
Arquivo: mfm.c Projeto: cran/BigQuic
/*************************************************************************
* This function performs an edge-based FM refinement
**************************************************************************/
void MocFM_2WayEdgeRefine(CtrlType *ctrl, GraphType *graph, float *tpwgts, int npasses)
{
  int i, ii, j, k, l, kwgt, nvtxs, ncon, nbnd, nswaps, from, to, pass, me, limit, tmp, cnum;
  idxtype *xadj, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind;
  idxtype *moved, *swaps, *perm, *qnum;
  float *nvwgt, *npwgts, mindiff[MAXNCON], origbal, minbal, newbal;
  PQueueType parts[MAXNCON][2];
  int higain, oldgain, mincut, initcut, newcut, mincutorder;
  float rtpwgts[2];

  nvtxs = graph->nvtxs;
  ncon = graph->ncon;
  xadj = graph->xadj;
  nvwgt = graph->nvwgt;
  adjncy = graph->adjncy;
  adjwgt = graph->adjwgt;
  where = graph->where;
  id = graph->id;
  ed = graph->ed;
  npwgts = graph->npwgts;
  bndptr = graph->bndptr;
  bndind = graph->bndind;

  moved = idxwspacemalloc(ctrl, nvtxs);
  swaps = idxwspacemalloc(ctrl, nvtxs);
  perm = idxwspacemalloc(ctrl, nvtxs);
  qnum = idxwspacemalloc(ctrl, nvtxs);

  limit = amin(amax(0.01*nvtxs, 25), 150);

  /* Initialize the queues */
  for (i=0; i<ncon; i++) {
    PQueueInit(ctrl, &parts[i][0], nvtxs, PLUS_GAINSPAN+1);
    PQueueInit(ctrl, &parts[i][1], nvtxs, PLUS_GAINSPAN+1);
  }
  for (i=0; i<nvtxs; i++)
    qnum[i] = samax(ncon, nvwgt+i*ncon);

  origbal = Compute2WayHLoadImbalance(ncon, npwgts, tpwgts);

  rtpwgts[0] = origbal*tpwgts[0];
  rtpwgts[1] = origbal*tpwgts[1];

/*
  if (ctrl->dbglvl&DBG_REFINE) {
    printf("Parts: [");
    for (l=0; l<ncon; l++)
      printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]);
    printf("] T[%.3f %.3f], Nv-Nb[%5d, %5d]. ICut: %6d, LB: %.3f\n", tpwgts[0], tpwgts[1], graph->nvtxs, graph->nbnd, graph->mincut, origbal);
  }
*/

  idxset(nvtxs, -1, moved);
  for (pass=0; pass<npasses; pass++) { /* Do a number of passes */
    for (i=0; i<ncon; i++) { 
      PQueueReset(&parts[i][0]);
      PQueueReset(&parts[i][1]);
    }

    mincutorder = -1;
    newcut = mincut = initcut = graph->mincut;
    for (i=0; i<ncon; i++)
      mindiff[i] = fabs(tpwgts[0]-npwgts[i]);
    minbal = Compute2WayHLoadImbalance(ncon, npwgts, tpwgts);

    ASSERT(ComputeCut(graph, where) == graph->mincut);
    ASSERT(CheckBnd(graph));

    /* Insert boundary nodes in the priority queues */
    nbnd = graph->nbnd;
    RandomPermute(nbnd, perm, 1);
    for (ii=0; ii<nbnd; ii++) {
      i = bndind[perm[ii]];
      ASSERT(ed[i] > 0 || id[i] == 0);
      ASSERT(bndptr[i] != -1);
      PQueueInsert(&parts[qnum[i]][where[i]], i, ed[i]-id[i]);
    }

    for (nswaps=0; nswaps<nvtxs; nswaps++) {
      SelectQueue(ncon, npwgts, rtpwgts, &from, &cnum, parts);
      to = (from+1)%2;

      if (from == -1 || (higain = PQueueGetMax(&parts[cnum][from])) == -1)
        break;
      ASSERT(bndptr[higain] != -1);

      saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1);
      saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1);

      newcut -= (ed[higain]-id[higain]);
      newbal = Compute2WayHLoadImbalance(ncon, npwgts, tpwgts);

      if ((newcut < mincut && newbal-origbal <= .00001) || 
          (newcut == mincut && (newbal < minbal || 
                                (newbal == minbal && BetterBalance(ncon, npwgts, tpwgts, mindiff))))) {
        mincut = newcut;
        minbal = newbal;
        mincutorder = nswaps;
        for (i=0; i<ncon; i++)
          mindiff[i] = fabs(tpwgts[0]-npwgts[i]);
      }
      else if (nswaps-mincutorder > limit) { /* We hit the limit, undo last move */
        newcut += (ed[higain]-id[higain]);
        saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1);
        saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1);
        break;
      }

      where[higain] = to;
      moved[higain] = nswaps;
      swaps[nswaps] = higain;

/*
      if (ctrl->dbglvl&DBG_MOVEINFO) {
        printf("Moved %6d from %d(%d). Gain: %5d, Cut: %5d, NPwgts: ", higain, from, cnum, ed[higain]-id[higain], newcut);
        for (l=0; l<ncon; l++) 
          printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]);
        printf(", %.3f LB: %.3f\n", minbal, newbal);
      }
*/


      /**************************************************************
      * Update the id[i]/ed[i] values of the affected nodes
      ***************************************************************/
      SWAP(id[higain], ed[higain], tmp);
      if (ed[higain] == 0 && xadj[higain] < xadj[higain+1]) 
        BNDDelete(nbnd, bndind,  bndptr, higain);

      for (j=xadj[higain]; j<xadj[higain+1]; j++) {
        k = adjncy[j];
        oldgain = ed[k]-id[k];

        kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]);
        INC_DEC(id[k], ed[k], kwgt);

        /* Update its boundary information and queue position */
        if (bndptr[k] != -1) { /* If k was a boundary vertex */
          if (ed[k] == 0) { /* Not a boundary vertex any more */
            BNDDelete(nbnd, bndind, bndptr, k);
            if (moved[k] == -1)  /* Remove it if in the queues */
              PQueueDelete(&parts[qnum[k]][where[k]], k, oldgain);
          }
          else { /* If it has not been moved, update its position in the queue */
            if (moved[k] == -1)
              PQueueUpdate(&parts[qnum[k]][where[k]], k, oldgain, ed[k]-id[k]);
          }
        }
        else {
          if (ed[k] > 0) {  /* It will now become a boundary vertex */
            BNDInsert(nbnd, bndind, bndptr, k);
            if (moved[k] == -1) 
              PQueueInsert(&parts[qnum[k]][where[k]], k, ed[k]-id[k]);
          }
        }
      }

    }


    /****************************************************************
    * Roll back computations
    *****************************************************************/
    for (i=0; i<nswaps; i++)
      moved[swaps[i]] = -1;  /* reset moved array */
    for (nswaps--; nswaps>mincutorder; nswaps--) {
      higain = swaps[nswaps];

      to = where[higain] = (where[higain]+1)%2;
      SWAP(id[higain], ed[higain], tmp);
      if (ed[higain] == 0 && bndptr[higain] != -1 && xadj[higain] < xadj[higain+1])
        BNDDelete(nbnd, bndind,  bndptr, higain);
      else if (ed[higain] > 0 && bndptr[higain] == -1)
        BNDInsert(nbnd, bndind,  bndptr, higain);

      saxpy(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1);
      saxpy(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+((to+1)%2)*ncon, 1);
      for (j=xadj[higain]; j<xadj[higain+1]; j++) {
        k = adjncy[j];

        kwgt = (to == where[k] ? adjwgt[j] : -adjwgt[j]);
        INC_DEC(id[k], ed[k], kwgt);

        if (bndptr[k] != -1 && ed[k] == 0)
          BNDDelete(nbnd, bndind, bndptr, k);
        if (bndptr[k] == -1 && ed[k] > 0)
          BNDInsert(nbnd, bndind, bndptr, k);
      }
    }

/*
    if (ctrl->dbglvl&DBG_REFINE) {
      printf("\tMincut: %6d at %5d, NBND: %6d, NPwgts: [", mincut, mincutorder, nbnd);
      for (l=0; l<ncon; l++)
        printf("(%.3f, %.3f) ", npwgts[l], npwgts[ncon+l]);
      printf("], LB: %.3f\n", Compute2WayHLoadImbalance(ncon, npwgts, tpwgts));
    }
*/

    graph->mincut = mincut;
    graph->nbnd = nbnd;

    if (mincutorder == -1 || mincut == initcut)
      break;
  }

  for (i=0; i<ncon; i++) {
    PQueueFree(ctrl, &parts[i][0]);
    PQueueFree(ctrl, &parts[i][1]);
  }

  idxwspacefree(ctrl, nvtxs);
  idxwspacefree(ctrl, nvtxs);
  idxwspacefree(ctrl, nvtxs);
  idxwspacefree(ctrl, nvtxs);

}