C++ BNDDelete函數代碼示例

//.........這裏部分代碼省略.........
        u[1] = PQueueSeeMax(&parts[1]);
        if (u[0] != -1 && u[1] != -1) {
          g[0] = vwgt[u[0]]-rinfo[u[0]].edegrees[1];
          g[1] = vwgt[u[1]]-rinfo[u[1]].edegrees[0];

          to = (g[0] > g[1] ? 0 : (g[0] < g[1] ? 1 : pass%2)); 
        }
      }
      other = (to+1)%2;

      if ((higain = PQueueGetMax(&parts[to])) == -1)
        break;

      if (moved[higain] == -1) /* Delete if it was in the separator originally */
        PQueueDelete(&parts[other], higain, vwgt[higain]-rinfo[higain].edegrees[to]);

      ASSERT(bndptr[higain] != -1);

      pwgts[2] -= (vwgt[higain]-rinfo[higain].edegrees[other]);

      newdiff = idxtype_abs(pwgts[to]+vwgt[higain] - (pwgts[other]-rinfo[higain].edegrees[other]));
      if (pwgts[2] < mincut || (pwgts[2] == mincut && newdiff < mindiff)) {
        mincut = pwgts[2];
        mincutorder = nswaps;
        mindiff = newdiff;
      }
      else {
        if (nswaps - mincutorder > limit) {
          pwgts[2] += (vwgt[higain]-rinfo[higain].edegrees[other]);
          break; /* No further improvement, break out */
        }
      }

      BNDDelete(nbnd, bndind, bndptr, higain);
      pwgts[to] += vwgt[higain];
      where[higain] = to;
      moved[higain] = nswaps;
      swaps[nswaps] = higain;  


      /**********************************************************
      * Update the degrees of the affected nodes
      ***********************************************************/
      for (j=xadj[higain]; j<xadj[higain+1]; j++) {
        k = adjncy[j];
        if (where[k] == 2) { /* For the in-separator vertices modify their edegree[to] */
          oldgain = vwgt[k]-rinfo[k].edegrees[to];
          rinfo[k].edegrees[to] += vwgt[higain];
          if (moved[k] == -1 || moved[k] == -(2+other))
            PQueueUpdate(&parts[other], k, oldgain, oldgain-vwgt[higain]);
        }
        else if (where[k] == other) { /* This vertex is pulled into the separator */
          ASSERTP(bndptr[k] == -1, ("%d %d %d\n", k, bndptr[k], where[k]));
          BNDInsert(nbnd, bndind, bndptr, k);

          mind[nmind++] = k;  /* Keep track for rollback */
          where[k] = 2;
          pwgts[other] -= vwgt[k];

          edegrees = rinfo[k].edegrees;
          edegrees[0] = edegrees[1] = 0;
          for (jj=xadj[k]; jj<xadj[k+1]; jj++) {
            kk = adjncy[jj];
            if (where[kk] != 2) 
              edegrees[where[kk]] += vwgt[kk];
            else {

/*************************************************************************
* This function performs a node-based FM refinement. This is the 
* one-way version 
**************************************************************************/
void FM_2WayNodeRefine_OneSided(CtrlType *ctrl, GraphType *graph, float ubfactor, idxtype npasses)
{
  idxtype i, ii, j, k, jj, kk, nvtxs, nbnd, nswaps, nmind;
  idxtype *xadj, *vwgt, *adjncy, *where, *pwgts, *edegrees, *bndind, *bndptr;
  idxtype *mptr, *mind, *swaps, *perm;
  PQueueType parts; 
  NRInfoType *rinfo;
  idxtype higain, oldgain, mincut, initcut, mincutorder;	
  idxtype pass, to, other, limit;
  idxtype badmaxpwgt, mindiff, newdiff;

  nvtxs = graph->nvtxs;
  xadj = graph->xadj;
  adjncy = graph->adjncy;
  vwgt = graph->vwgt;

  bndind = graph->bndind;
  bndptr = graph->bndptr;
  where = graph->where;
  pwgts = graph->pwgts;
  rinfo = graph->nrinfo;

  PQueueInit(ctrl, &parts, nvtxs, ComputeMaxNodeGain(nvtxs, xadj, adjncy, vwgt));

  perm  = idxwspacemalloc(ctrl, nvtxs);
  swaps = idxwspacemalloc(ctrl, nvtxs);
  mptr  = idxwspacemalloc(ctrl, nvtxs+1);
  mind  = idxwspacemalloc(ctrl, nvtxs);

  IFSET(ctrl->dbglvl, DBG_REFINE,
    mprintf("Partitions-N1: [%6D %6D] Nv-Nb[%6D %6D]. ISep: %6D\n", pwgts[0], pwgts[1], graph->nvtxs, graph->nbnd, graph->mincut));

  badmaxpwgt = (int)(ubfactor*(pwgts[0]+pwgts[1]+pwgts[2])/2);

  to = (pwgts[0] < pwgts[1] ? 1 : 0);
  for (pass=0; pass<npasses; pass++) {
    other = to; 
    to = (to+1)%2;

    PQueueReset(&parts);

    mincutorder = -1;
    initcut = mincut = graph->mincut;
    nbnd = graph->nbnd;

    RandomPermute(nbnd, perm, 1);
    for (ii=0; ii<nbnd; ii++) {
      i = bndind[perm[ii]];
      ASSERT(where[i] == 2);
      PQueueInsert(&parts, i, vwgt[i]-rinfo[i].edegrees[other]);
    }

    ASSERT(CheckNodeBnd(graph, nbnd));
    ASSERT(CheckNodePartitionParams(graph));

    limit = (ctrl->oflags&OFLAG_COMPRESS ? amin(5*nbnd, 400) : amin(2*nbnd, 300));

    /******************************************************
    * Get into the FM loop
    *******************************************************/
    mptr[0] = nmind = 0;
    mindiff = idxtype_abs(pwgts[0]-pwgts[1]);
    for (nswaps=0; nswaps<nvtxs; nswaps++) {

      if ((higain = PQueueGetMax(&parts)) == -1)
        break;

      ASSERT(bndptr[higain] != -1);

      if (pwgts[to]+vwgt[higain] > badmaxpwgt)
        break;  /* No point going any further. Balance will be bad */

      pwgts[2] -= (vwgt[higain]-rinfo[higain].edegrees[other]);

      newdiff = idxtype_abs(pwgts[to]+vwgt[higain] - (pwgts[other]-rinfo[higain].edegrees[other]));
      if (pwgts[2] < mincut || (pwgts[2] == mincut && newdiff < mindiff)) {
        mincut = pwgts[2];
        mincutorder = nswaps;
        mindiff = newdiff;
      }
      else {
        if (nswaps - mincutorder > limit) {
          pwgts[2] += (vwgt[higain]-rinfo[higain].edegrees[other]);
          break; /* No further improvement, break out */
        }
      }

      BNDDelete(nbnd, bndind, bndptr, higain);
      pwgts[to] += vwgt[higain];
      where[higain] = to;
      swaps[nswaps] = higain;  


      /**********************************************************
      * Update the degrees of the affected nodes
      ***********************************************************/
//.........這裏部分代碼省略.........

//.........這裏部分代碼省略.........
      /*=====================================================================
      * 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 pmat to reflect the move of 'i' */
      pmat[from*nparts+to] += (myrinfo->id-myedegrees[k].ed);
      pmat[to*nparts+from] += (myrinfo->id-myedegrees[k].ed);
      if (pmat[from*nparts+to] == 0) {
        ndoms[from]--;
        if (ndoms[from]+1 == maxndoms)
          maxndoms = ndoms[idxamax(nparts, ndoms)];
      }
      if (pmat[to*nparts+from] == 0) {
        ndoms[to]--;
        if (ndoms[to]+1 == maxndoms)
          maxndoms = ndoms[idxamax(nparts, ndoms)];
      }


      /* Update where, weight, and ID/ED information of the vertex you moved */
      where[i] = to;
      INC_DEC(pwgts[to], pwgts[from], vwgt);
      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) {

void FM_2WayNodeRefine1Sided(ctrl_t *ctrl, graph_t *graph, idx_t niter)
{
  idx_t i, ii, j, k, jj, kk, nvtxs, nbnd, nswaps, nmind, iend;
  idx_t *xadj, *vwgt, *adjncy, *where, *pwgts, *edegrees, *bndind, *bndptr;
  idx_t *mptr, *mind, *swaps;
  rpq_t *queue; 
  nrinfo_t *rinfo;
  idx_t higain, mincut, initcut, mincutorder;	
  idx_t pass, to, other, limit;
  idx_t badmaxpwgt, mindiff, newdiff;
  real_t mult;

  WCOREPUSH;

  nvtxs  = graph->nvtxs;
  xadj   = graph->xadj;
  adjncy = graph->adjncy;
  vwgt   = graph->vwgt;

  bndind = graph->bndind;
  bndptr = graph->bndptr;
  where  = graph->where;
  pwgts  = graph->pwgts;
  rinfo  = graph->nrinfo;

  queue = rpqCreate(nvtxs);

  swaps = iwspacemalloc(ctrl, nvtxs);
  mptr  = iwspacemalloc(ctrl, nvtxs+1);
  mind  = iwspacemalloc(ctrl, 2*nvtxs);

  mult = 0.5*ctrl->ubfactors[0];
  badmaxpwgt = (idx_t)(mult*(pwgts[0]+pwgts[1]+pwgts[2]));

  IFSET(ctrl->dbglvl, METIS_DBG_REFINE,
    printf("Partitions-N1: [%6"PRIDX" %6"PRIDX"] Nv-Nb[%6"PRIDX" %6"PRIDX"]. ISep: %6"PRIDX"\n", pwgts[0], pwgts[1], graph->nvtxs, graph->nbnd, graph->mincut));

  to = (pwgts[0] < pwgts[1] ? 1 : 0);
  for (pass=0; pass<2*niter; pass++) {  /* the 2*niter is for the two sides */
    other = to; 
    to    = (to+1)%2;

    rpqReset(queue);

    mincutorder = -1;
    initcut = mincut = graph->mincut;
    nbnd = graph->nbnd;

    /* use the swaps array in place of the traditional perm array to save memory */
    my_irandArrayPermute_r(nbnd, swaps, nbnd, 1, &ctrl->curseed);
    for (ii=0; ii<nbnd; ii++) {
      i = bndind[swaps[ii]];
      ASSERT(where[i] == 2);
      rpqInsert(queue, i, vwgt[i]-rinfo[i].edegrees[other]);
    }

    ASSERT(CheckNodeBnd(graph, nbnd));
    ASSERT(CheckNodePartitionParams(graph));

    limit = (ctrl->compress ? gk_min(5*nbnd, 500) : gk_min(3*nbnd, 300));

    /******************************************************
    * Get into the FM loop
    *******************************************************/
    IFSET(ctrl->dbglvl, METIS_DBG_TIME, gk_startwctimer(ctrl->Aux3Tmr));
    mptr[0] = nmind = 0;
    mindiff = iabs(pwgts[0]-pwgts[1]);
    for (nswaps=0; nswaps<nvtxs; nswaps++) {
      if ((higain = rpqGetTop(queue)) == -1)
        break;

      ASSERT(bndptr[higain] != -1);

      /* The following check is to ensure we break out if there is a posibility
         of over-running the mind array.  */
      if (nmind + xadj[higain+1]-xadj[higain] >= 2*nvtxs-1) 
        break;

      if (pwgts[to]+vwgt[higain] > badmaxpwgt) 
        break;  /* No point going any further. Balance will be bad */

      pwgts[2] -= (vwgt[higain]-rinfo[higain].edegrees[other]);

      newdiff = iabs(pwgts[to]+vwgt[higain] - (pwgts[other]-rinfo[higain].edegrees[other]));
      if (pwgts[2] < mincut || (pwgts[2] == mincut && newdiff < mindiff)) {
        mincut      = pwgts[2];
        mincutorder = nswaps;
        mindiff     = newdiff;
      }
      else {
        if (nswaps - mincutorder > 3*limit || 
            (nswaps - mincutorder > limit && pwgts[2] > 1.10*mincut)) {
          pwgts[2] += (vwgt[higain]-rinfo[higain].edegrees[other]);
          break; /* No further improvement, break out */
        }
      }

      BNDDelete(nbnd, bndind, bndptr, higain);
      pwgts[to]     += vwgt[higain];
      where[higain]  = to;
//.........這裏部分代碼省略.........

void FM_2WayCutRefine(ctrl_t *ctrl, graph_t *graph, real_t *ntpwgts, idx_t niter)
{
    idx_t i, ii, j, k, kwgt, nvtxs, nbnd, nswaps, from, to, pass, me, limit, tmp;
    idx_t *xadj, *vwgt, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind, *pwgts;
    idx_t *moved, *swaps, *perm;
    rpq_t *queues[2];
    idx_t higain, mincut, mindiff, origdiff, initcut, newcut, mincutorder, avgvwgt;
    idx_t tpwgts[2];

    WCOREPUSH;

    nvtxs  = graph->nvtxs;
    xadj   = graph->xadj;
    vwgt   = graph->vwgt;
    adjncy = graph->adjncy;
    adjwgt = graph->adjwgt;
    where  = graph->where;
    id     = graph->id;
    ed     = graph->ed;
    pwgts  = graph->pwgts;
    bndptr = graph->bndptr;
    bndind = graph->bndind;

    moved = iwspacemalloc(ctrl, nvtxs);
    swaps = iwspacemalloc(ctrl, nvtxs);
    perm  = iwspacemalloc(ctrl, nvtxs);

    tpwgts[0] = graph->tvwgt[0]*ntpwgts[0];
    tpwgts[1] = graph->tvwgt[0]-tpwgts[0];

    limit   = gk_min(gk_max(0.01*nvtxs, 15), 100);
    avgvwgt = gk_min((pwgts[0]+pwgts[1])/20, 2*(pwgts[0]+pwgts[1])/nvtxs);

    queues[0] = rpqCreate(nvtxs);
    queues[1] = rpqCreate(nvtxs);

    IFSET(ctrl->dbglvl, METIS_DBG_REFINE,
          Print2WayRefineStats(ctrl, graph, ntpwgts, 0, -2));

    origdiff = iabs(tpwgts[0]-pwgts[0]);
    iset(nvtxs, -1, moved);
    for (pass=0; pass<niter; pass++) { /* Do a number of passes */
        rpqReset(queues[0]);
        rpqReset(queues[1]);

        mincutorder = -1;
        newcut = mincut = initcut = graph->mincut;
        mindiff = iabs(tpwgts[0]-pwgts[0]);

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

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

        for (nswaps=0; nswaps<nvtxs; nswaps++) {
            from = (tpwgts[0]-pwgts[0] < tpwgts[1]-pwgts[1] ? 0 : 1);
            to = (from+1)%2;

            if ((higain = rpqGetTop(queues[from])) == -1)
                break;
            ASSERT(bndptr[higain] != -1);

            newcut -= (ed[higain]-id[higain]);
            INC_DEC(pwgts[to], pwgts[from], vwgt[higain]);

            if ((newcut < mincut && iabs(tpwgts[0]-pwgts[0]) <= origdiff+avgvwgt) ||
                    (newcut == mincut && iabs(tpwgts[0]-pwgts[0]) < mindiff)) {
                mincut  = newcut;
                mindiff = iabs(tpwgts[0]-pwgts[0]);
                mincutorder = nswaps;
            }
            else if (nswaps-mincutorder > limit) { /* We hit the limit, undo last move */
                newcut += (ed[higain]-id[higain]);
                INC_DEC(pwgts[from], pwgts[to], vwgt[higain]);
                break;
            }

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

            IFSET(ctrl->dbglvl, METIS_DBG_MOVEINFO,
                  printf("Moved %6"PRIDX" from %"PRIDX". [%3"PRIDX" %3"PRIDX"] %5"PRIDX" [%4"PRIDX" %4"PRIDX"]\n", higain, from, ed[higain]-id[higain], vwgt[higain], newcut, pwgts[0], pwgts[1]));

            /**************************************************************
            * 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++) {
//.........這裏部分代碼省略.........

//.........這裏部分代碼省略.........
        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) {

/*************************************************************************
* This function performs an edge-based FM refinement
**************************************************************************/
void FM_2WayEdgeRefine(CtrlType *ctrl, GraphType *graph, int *tpwgts, int npasses)
{
  int i, ii, j, k, kwgt, nvtxs, nbnd, nswaps, from, to, pass, me, limit, tmp;
  idxtype *xadj, *vwgt, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind, *pwgts;
  idxtype *moved, *swaps, *perm;
  PQueueType parts[2];
  int higain, oldgain, mincut, mindiff, origdiff, initcut, newcut, mincutorder, avgvwgt;

  nvtxs = graph->nvtxs;
  xadj = graph->xadj;
  vwgt = graph->vwgt;
  adjncy = graph->adjncy;
  adjwgt = graph->adjwgt;
  where = graph->where;
  id = graph->id;
  ed = graph->ed;
  pwgts = graph->pwgts;
  bndptr = graph->bndptr;
  bndind = graph->bndind;

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

  limit = (int) amin(amax(0.01*nvtxs, 15), 100);
  avgvwgt = amin((pwgts[0]+pwgts[1])/20, 2*(pwgts[0]+pwgts[1])/nvtxs);

  tmp = graph->adjwgtsum[idxamax(nvtxs, graph->adjwgtsum)];
  PQueueInit(ctrl, &parts[0], nvtxs, tmp);
  PQueueInit(ctrl, &parts[1], nvtxs, tmp);

  IFSET(ctrl->dbglvl, DBG_REFINE, 
     printf("Partitions: [%6d %6d] T[%6d %6d], Nv-Nb[%6d %6d]. ICut: %6d\n",
             pwgts[0], pwgts[1], tpwgts[0], tpwgts[1], graph->nvtxs, graph->nbnd, graph->mincut));

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

    mincutorder = -1;
    newcut = mincut = initcut = graph->mincut;
    mindiff = abs(tpwgts[0]-pwgts[0]);

    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 = perm[ii];
      ASSERT(ed[bndind[i]] > 0 || id[bndind[i]] == 0);
      ASSERT(bndptr[bndind[i]] != -1);
      PQueueInsert(&parts[where[bndind[i]]], bndind[i], ed[bndind[i]]-id[bndind[i]]);
    }

    for (nswaps=0; nswaps<nvtxs; nswaps++) {
      from = (tpwgts[0]-pwgts[0] < tpwgts[1]-pwgts[1] ? 0 : 1);
      to = (from+1)%2;

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

      newcut -= (ed[higain]-id[higain]);
      INC_DEC(pwgts[to], pwgts[from], vwgt[higain]);

      if ((newcut < mincut && abs(tpwgts[0]-pwgts[0]) <= origdiff+avgvwgt) || 
          (newcut == mincut && abs(tpwgts[0]-pwgts[0]) < mindiff)) {
        mincut = newcut;
        mindiff = abs(tpwgts[0]-pwgts[0]);
        mincutorder = nswaps;
      }
      else if (nswaps-mincutorder > limit) { /* We hit the limit, undo last move */
        newcut += (ed[higain]-id[higain]);
        INC_DEC(pwgts[from], pwgts[to], vwgt[higain]);
        break;
      }

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

      IFSET(ctrl->dbglvl, DBG_MOVEINFO, 
        printf("Moved %6d from %d. [%3d %3d] %5d [%4d %4d]\n", higain, from, ed[higain]-id[higain], vwgt[higain], newcut, pwgts[0], pwgts[1]));

      /**************************************************************
      * 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];
//.........這裏部分代碼省略.........

//.........這裏部分代碼省略.........
    }
    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 (i=0; i<ncon; i++) 
        printf("(%.3f, %.3f) ", npwgts[i], npwgts[ncon+i]);

      Compute2WayHLoadImbalanceVec(ncon, npwgts, tpwgts, tvec);
      printf(", LB: ");
      for (i=0; i<ncon; i++) 
        printf("%.3f ", tvec[i]);
      if (mincutorder == nswaps)
        printf(" *\n");
      else
        printf("\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 (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 (i=0; i<nswaps; i++)
    moved[swaps[i]] = -1;  /* reset moved array */
  for (nswaps--; nswaps>mincutorder; nswaps--) {
    higain = swaps[nswaps];

//.........這裏部分代碼省略.........
        to = 0;
      }
      else if (u[1] != -1 && pwgts[1]+vwgt[u[1]] <= badmaxpwgt) {
        to = 1;
      }
      else
        break;

      other = (to+1)%2;

      higain = PQueueGetMax(&parts[to]);

      /* Delete its matching entry in the other queue */
      if (moved[higain] == -5) 
        PQueueDelete(&parts[other], higain, vwgt[higain]-rinfo[higain].edegrees[to]);

      ASSERT(bndptr[higain] != -1);

      pwgts[2] -= (vwgt[higain]-rinfo[higain].edegrees[other]);

      newdiff = abs(pwgts[to]+vwgt[higain] - (pwgts[other]-rinfo[higain].edegrees[other]));
      if (pwgts[2] < mincut || (pwgts[2] == mincut && newdiff < mindiff)) {
        mincut      = pwgts[2];
        mincutorder = nswaps;
        mindiff     = newdiff;
      }
      else {
        if (nswaps - mincutorder > limit) {
          pwgts[2] += (vwgt[higain]-rinfo[higain].edegrees[other]);
          break; /* No further improvement, break out */
        }
      }

      BNDDelete(nbnd, bndind, bndptr, higain);
      pwgts[to] += vwgt[higain];
      where[higain] = to;
      moved[higain] = nswaps;
      swaps[nswaps] = higain;  


      /**********************************************************
      * Update the degrees of the affected nodes
      ***********************************************************/
      for (j=xadj[higain]; j<xadj[higain+1]; j++) {
        k = adjncy[j];
        if (where[k] == 2) { /* For the in-separator vertices modify their edegree[to] */
          oldgain = vwgt[k]-rinfo[k].edegrees[to];
          rinfo[k].edegrees[to] += vwgt[higain];
          if (moved[k] == -5 || moved[k] == -(10+other)) 
            PQueueUpdate(&parts[other], k, oldgain, oldgain-vwgt[higain]);
        }
        else if (where[k] == other) { /* This vertex is pulled into the separator */
          ASSERTP(bndptr[k] == -1, ("%d %d %d\n", k, bndptr[k], where[k]));
          BNDInsert(nbnd, bndind, bndptr, k);

          mind[nmind++] = k;  /* Keep track for rollback */
          where[k] = 2;
          pwgts[other] -= vwgt[k];

          edegrees = rinfo[k].edegrees;
          edegrees[0] = edegrees[1] = 0;
          for (jj=xadj[k]; jj<xadj[k+1]; jj++) {
            kk = adjncy[jj];
            if (where[kk] != 2) 
              edegrees[where[kk]] += vwgt[kk];
            else {

//.........這裏部分代碼省略.........
                                (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]);
          }
        }
      }

    }

//.........這裏部分代碼省略.........
    for (nswaps=0; nswaps<nvtxs; nswaps++) {
      if ((higain = PQueueGetMax(&parts)) == -1) 
        break;

      inqueue[higain] = -1;

      ASSERT(bndptr[higain] != -1);

      if (pwgts[to]+vwgt[higain] > badmaxpwgt) { /* Skip this vertex */
        if (nbad++ > limit) 
          break; 
        else {
          nswaps--;
          continue;  
        }
      }

      pwgts[2] -= (vwgt[higain]-rinfo[higain].edegrees[from]);

      newdiff = abs(pwgts[to]+vwgt[higain] - (pwgts[from]-rinfo[higain].edegrees[from]));
      if (pwgts[2] < mincut || (pwgts[2] == mincut && newdiff < mindiff)) {
        mincut      = pwgts[2];
        mincutorder = nswaps;
        mindiff     = newdiff;
        nbad        = 0;
      }
      else {
        if (nbad++ > limit) {
          pwgts[2] += (vwgt[higain]-rinfo[higain].edegrees[from]);
          break; /* No further improvement, break out */
        }
      }

      BNDDelete(nbnd, bndind, bndptr, higain);
      pwgts[to] += vwgt[higain];
      where[higain] = to;
      swaps[nswaps] = higain;  


      /**********************************************************
      * Update the degrees of the affected nodes
      ***********************************************************/
      for (j=xadj[higain]; j<xadj[higain+1]; j++) {
        k = adjncy[j];
        if (where[k] == 2) { /* For the in-separator vertices modify their edegree[to] */
          rinfo[k].edegrees[to] += vwgt[higain];
        }
        else if (where[k] == from) { /* This vertex is pulled into the separator */
          ASSERTP(bndptr[k] == -1, ("%d %d %d\n", k, bndptr[k], where[k]));
          BNDInsert(nbnd, bndind, bndptr, k);

          mind[nmind++] = k;  /* Keep track for rollback */
          where[k]      = 2;
          pwgts[from]  -= vwgt[k];

          edegrees = rinfo[k].edegrees;
          edegrees[0] = edegrees[1] = 0;
          for (jj=xadj[k]; jj<xadj[k+1]; jj++) {
            kk = adjncy[jj];
            if (where[kk] != 2) 
              edegrees[where[kk]] += vwgt[kk];
            else {
              oldgain = vwgt[kk]-rinfo[kk].edegrees[from];
              rinfo[kk].edegrees[from] -= vwgt[k];

              /* Update the gain of this node if it was skipped */

/*************************************************************************
* This function balances two partitions by moving boundary nodes
* from the domain that is overweight to the one that is underweight.
**************************************************************************/
void Bnd2WayBalance(CtrlType *ctrl, GraphType *graph, int *tpwgts)
{
  int i, ii, j, k, kwgt, nvtxs, nbnd, nswaps, from, to, pass, me, tmp;
  idxtype *xadj, *vwgt, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind, *pwgts;
  idxtype *moved, *perm;
  PQueueType parts;
  int higain, oldgain, mincut, mindiff;

  nvtxs = graph->nvtxs;
  xadj = graph->xadj;
  vwgt = graph->vwgt;
  adjncy = graph->adjncy;
  adjwgt = graph->adjwgt;
  where = graph->where;
  id = graph->id;
  ed = graph->ed;
  pwgts = graph->pwgts;
  bndptr = graph->bndptr;
  bndind = graph->bndind;

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

  /* Determine from which domain you will be moving data */
  mindiff = abs(tpwgts[0]-pwgts[0]);
  from = (pwgts[0] < tpwgts[0] ? 1 : 0);
  to = (from+1)%2;

  IFSET(ctrl->dbglvl, DBG_REFINE, 
     printf("Partitions: [%6d %6d] T[%6d %6d], Nv-Nb[%6d %6d]. ICut: %6d [B]\n",
             pwgts[0], pwgts[1], tpwgts[0], tpwgts[1], graph->nvtxs, graph->nbnd, graph->mincut));

  tmp = graph->adjwgtsum[idxamax(nvtxs, graph->adjwgtsum)];
  PQueueInit(ctrl, &parts, nvtxs, tmp);

  idxset(nvtxs, -1, moved);

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

  /* Insert the boundary nodes of the proper partition whose size is OK in the priority queue */
  nbnd = graph->nbnd;
  RandomPermute(nbnd, perm, 1);
  for (ii=0; ii<nbnd; ii++) {
    i = perm[ii];
    ASSERT(ed[bndind[i]] > 0 || id[bndind[i]] == 0);
    ASSERT(bndptr[bndind[i]] != -1);
    if (where[bndind[i]] == from && vwgt[bndind[i]] <= mindiff)
      PQueueInsert(&parts, bndind[i], ed[bndind[i]]-id[bndind[i]]);
  }

  mincut = graph->mincut;
  for (nswaps=0; nswaps<nvtxs; nswaps++) {
    if ((higain = PQueueGetMax(&parts)) == -1)
      break;
    ASSERT(bndptr[higain] != -1);

    if (pwgts[to]+vwgt[higain] > tpwgts[to])
      break;

    mincut -= (ed[higain]-id[higain]);
    INC_DEC(pwgts[to], pwgts[from], vwgt[higain]);

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

    IFSET(ctrl->dbglvl, DBG_MOVEINFO, 
      printf("Moved %6d from %d. [%3d %3d] %5d [%4d %4d]\n", higain, from, ed[higain]-id[higain], vwgt[higain], mincut, pwgts[0], pwgts[1]));

    /**************************************************************
    * 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 && where[k] == from && vwgt[k] <= mindiff)  /* Remove it if in the queues */
            PQueueDelete(&parts, k, oldgain);
        }
        else { /* If it has not been moved, update its position in the queue */
          if (moved[k] == -1 && where[k] == from && vwgt[k] <= mindiff)
            PQueueUpdate(&parts, k, oldgain, ed[k]-id[k]);
        }
      }
      else {
//.........這裏部分代碼省略.........

void FM_2WayNodeBalance(ctrl_t *ctrl, graph_t *graph)
{
  idx_t i, ii, j, k, jj, kk, nvtxs, nbnd, nswaps, gain;
  idx_t badmaxpwgt, higain, oldgain, to, other;
  idx_t *xadj, *vwgt, *adjncy, *where, *pwgts, *edegrees, *bndind, *bndptr;
  idx_t *perm, *moved;
  rpq_t *queue; 
  nrinfo_t *rinfo;
  real_t mult;

  nvtxs  = graph->nvtxs;
  xadj   = graph->xadj;
  adjncy = graph->adjncy;
  vwgt   = graph->vwgt;

  bndind = graph->bndind;
  bndptr = graph->bndptr;
  where  = graph->where;
  pwgts  = graph->pwgts;
  rinfo  = graph->nrinfo;

  mult = 0.5*ctrl->ubfactors[0];

  badmaxpwgt = (idx_t)(mult*(pwgts[0]+pwgts[1]));
  if (gk_max(pwgts[0], pwgts[1]) < badmaxpwgt)
    return;
  if (iabs(pwgts[0]-pwgts[1]) < 3*graph->tvwgt[0]/nvtxs)
    return;

  WCOREPUSH;

  to    = (pwgts[0] < pwgts[1] ? 0 : 1); 
  other = (to+1)%2;

  queue = rpqCreate(nvtxs);

  perm  = iwspacemalloc(ctrl, nvtxs);
  moved = iset(nvtxs, -1, iwspacemalloc(ctrl, nvtxs));

  IFSET(ctrl->dbglvl, METIS_DBG_REFINE,
    printf("Partitions: [%6"PRIDX" %6"PRIDX"] Nv-Nb[%6"PRIDX" %6"PRIDX"]. ISep: %6"PRIDX" [B]\n", pwgts[0], pwgts[1], graph->nvtxs, graph->nbnd, graph->mincut));

  nbnd = graph->nbnd;
  my_irandArrayPermute_r(nbnd, perm, nbnd, 1, &ctrl->curseed);
  for (ii=0; ii<nbnd; ii++) {
    i = bndind[perm[ii]];
    ASSERT(where[i] == 2);
    rpqInsert(queue, i, vwgt[i]-rinfo[i].edegrees[other]);
  }

  ASSERT(CheckNodeBnd(graph, nbnd));
  ASSERT(CheckNodePartitionParams(graph));

  /******************************************************
  * Get into the FM loop
  *******************************************************/
  for (nswaps=0; nswaps<nvtxs; nswaps++) {
    if ((higain = rpqGetTop(queue)) == -1)
      break;

    moved[higain] = 1;

    gain = vwgt[higain]-rinfo[higain].edegrees[other];
    badmaxpwgt = (idx_t)(mult*(pwgts[0]+pwgts[1]));

    /* break if other is now underwight */
    if (pwgts[to] > pwgts[other])
      break;

    /* break if balance is achieved and no +ve or zero gain */
    if (gain < 0 && pwgts[other] < badmaxpwgt) 
      break;

    /* skip this vertex if it will violate balance on the other side */
    if (pwgts[to]+vwgt[higain] > badmaxpwgt) 
      continue;

    ASSERT(bndptr[higain] != -1);

    pwgts[2] -= gain;

    BNDDelete(nbnd, bndind, bndptr, higain);
    pwgts[to] += vwgt[higain];
    where[higain] = to;

    IFSET(ctrl->dbglvl, METIS_DBG_MOVEINFO,
          printf("Moved %6"PRIDX" to %3"PRIDX", Gain: %3"PRIDX", \t[%5"PRIDX" %5"PRIDX" %5"PRIDX"]\n", higain, to, vwgt[higain]-rinfo[higain].edegrees[other], pwgts[0], pwgts[1], pwgts[2]));


    /**********************************************************
    * Update the degrees of the affected nodes
    ***********************************************************/
    for (j=xadj[higain]; j<xadj[higain+1]; j++) {
      k = adjncy[j];
      if (where[k] == 2) { /* For the in-separator vertices modify their edegree[to] */
        rinfo[k].edegrees[to] += vwgt[higain];
      }
      else if (where[k] == other) { /* This vertex is pulled into the separator */
        ASSERTP(bndptr[k] == -1, ("%"PRIDX" %"PRIDX" %"PRIDX"\n", k, bndptr[k], where[k]));
        BNDInsert(nbnd, bndind, bndptr, k);
//.........這裏部分代碼省略.........

/*************************************************************************
* This function performs a node-based FM refinement 
**************************************************************************/
void FM_2WayNodeBalance(CtrlType *ctrl, GraphType *graph, float ubfactor)
{
  idxtype i, ii, j, k, jj, kk, nvtxs, nbnd, nswaps;
  idxtype *xadj, *vwgt, *adjncy, *where, *pwgts, *edegrees, *bndind, *bndptr;
  idxtype *perm, *moved;
  PQueueType parts; 
  NRInfoType *rinfo;
  idxtype higain, oldgain;	
  idxtype pass, to, other;

  nvtxs = graph->nvtxs;
  xadj = graph->xadj;
  adjncy = graph->adjncy;
  vwgt = graph->vwgt;

  bndind = graph->bndind;
  bndptr = graph->bndptr;
  where = graph->where;
  pwgts = graph->pwgts;
  rinfo = graph->nrinfo;

  if (idxtype_abs(pwgts[0]-pwgts[1]) < (int)((ubfactor-1.0)*(pwgts[0]+pwgts[1])))
    return;
  if (idxtype_abs(pwgts[0]-pwgts[1]) < 3*idxsum(nvtxs, vwgt, 1)/nvtxs)
    return;

  to = (pwgts[0] < pwgts[1] ? 0 : 1); 
  other = (to+1)%2;

  PQueueInit(ctrl, &parts, nvtxs, ComputeMaxNodeGain(nvtxs, xadj, adjncy, vwgt));

  perm = idxwspacemalloc(ctrl, nvtxs);
  moved = idxset(nvtxs, -1, idxwspacemalloc(ctrl, nvtxs));

  IFSET(ctrl->dbglvl, DBG_REFINE,
    mprintf("Partitions: [%6D %6D] Nv-Nb[%6D %6D]. ISep: %6D [B]\n", pwgts[0], pwgts[1], graph->nvtxs, graph->nbnd, graph->mincut));

  nbnd = graph->nbnd;
  RandomPermute(nbnd, perm, 1);
  for (ii=0; ii<nbnd; ii++) {
    i = bndind[perm[ii]];
    ASSERT(where[i] == 2);
    PQueueInsert(&parts, i, vwgt[i]-rinfo[i].edegrees[other]);
  }

  ASSERT(CheckNodeBnd(graph, nbnd));
  ASSERT(CheckNodePartitionParams(graph));

  /******************************************************
  * Get into the FM loop
  *******************************************************/
  for (nswaps=0; nswaps<nvtxs; nswaps++) {
    if ((higain = PQueueGetMax(&parts)) == -1)
      break;

    moved[higain] = 1;

    if (pwgts[other] - rinfo[higain].edegrees[other] < (pwgts[0]+pwgts[1])/2) 
      continue;
#ifdef XXX
    if (pwgts[other] - rinfo[higain].edegrees[other] < pwgts[to]+vwgt[higain]) 
      break;
#endif

    ASSERT(bndptr[higain] != -1);

    pwgts[2] -= (vwgt[higain]-rinfo[higain].edegrees[other]);

    BNDDelete(nbnd, bndind, bndptr, higain);
    pwgts[to] += vwgt[higain];
    where[higain] = to;

    IFSET(ctrl->dbglvl, DBG_MOVEINFO,
          mprintf("Moved %6D to %3D, Gain: %3D, \t[%5D %5D %5D]\n", higain, to, vwgt[higain]-rinfo[higain].edegrees[other], pwgts[0], pwgts[1], pwgts[2]));


    /**********************************************************
    * Update the degrees of the affected nodes
    ***********************************************************/
    for (j=xadj[higain]; j<xadj[higain+1]; j++) {
      k = adjncy[j];
      if (where[k] == 2) { /* For the in-separator vertices modify their edegree[to] */
        rinfo[k].edegrees[to] += vwgt[higain];
      }
      else if (where[k] == other) { /* This vertex is pulled into the separator */
        ASSERTP(bndptr[k] == -1, ("%d %d %d\n", k, bndptr[k], where[k]));
        BNDInsert(nbnd, bndind, bndptr, k);

        where[k] = 2;
        pwgts[other] -= vwgt[k];

        edegrees = rinfo[k].edegrees;
        edegrees[0] = edegrees[1] = 0;
        for (jj=xadj[k]; jj<xadj[k+1]; jj++) {
          kk = adjncy[jj];
          if (where[kk] != 2) 
            edegrees[where[kk]] += vwgt[kk];
//.........這裏部分代碼省略.........

/*************************************************************************
* 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 Mc_Serial_Init2WayBalance(GraphType *graph, float *tpwgts)
{
  int i, ii, j, k;
  int kwgt, nvtxs, nbnd, ncon, nswaps, from, to, cnum, tmp;
  idxtype *xadj, *adjncy, *adjwgt, *where, *id, *ed, *bndptr, *bndind;
  idxtype *qnum;
  float *nvwgt, *npwgts;
  FPQueueType parts[MAXNCON][2];
  int higain, oldgain, mincut;
  KeyValueType *cand;

  nvtxs = graph->nvtxs;
  ncon = graph->ncon;
  xadj = graph->xadj;
  adjncy = graph->adjncy;
  nvwgt = graph->nvwgt;
  adjwgt = graph->adjwgt;
  where = graph->where;
  id = graph->sendind;
  ed = graph->recvind;
  npwgts = graph->gnpwgts;
  bndptr = graph->sendptr;
  bndind = graph->recvptr;

  qnum = idxmalloc(nvtxs, "qnum");
  cand = (KeyValueType *)GKmalloc(nvtxs*sizeof(KeyValueType), "cand");

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

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

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

  for (i=0; i<nvtxs; i++) {
    cand[i].key = id[i]-ed[i];
    cand[i].val = i;
  }
  ikeysort(nvtxs, cand);

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

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

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


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

    mincut -= (ed[higain]-id[higain]);
    saxpy2(ncon, 1.0, nvwgt+higain*ncon, 1, npwgts+to*ncon, 1);
    saxpy2(ncon, -1.0, nvwgt+higain*ncon, 1, npwgts+from*ncon, 1);

    where[higain] = to;

    /**************************************************************
    * 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);

//.........這裏部分代碼省略.........