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stat.c

/*
 * Copyright 1997, Regents of the University of Minnesota
 *
 * stat.c
 *
 * This file computes various statistics
 *
 * Started 7/25/97
 * George
 *
 * $Id: stat.c,v 1.1 2003/12/31 21:32:30 bates Exp $
 *
 */

#include <metis.h>


/*************************************************************************
* This function computes cuts and balance information
**************************************************************************/
void ComputePartitionInfo(GraphType *graph, int nparts, idxtype *where)
{
  int i, j/* , k */, nvtxs, ncon, mustfree=0;
  idxtype *xadj, *adjncy, *vwgt, *adjwgt, *kpwgts, *tmpptr;
  idxtype *padjncy, *padjwgt, *padjcut;

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

  if (vwgt == NULL) {
    vwgt = graph->vwgt = idxsmalloc(nvtxs, 1, "vwgt");
    mustfree = 1;
  }
  if (adjwgt == NULL) {
    adjwgt = graph->adjwgt = idxsmalloc(xadj[nvtxs], 1, "adjwgt");
    mustfree += 2;
  }

  printf("%d-way Cut: %5d, Vol: %5d, ", nparts, ComputeCut(graph, where), ComputeVolume(graph, where));

  /* Compute balance information */
  kpwgts = idxsmalloc(ncon*nparts, 0, "ComputePartitionInfo: kpwgts");

  for (i=0; i<nvtxs; i++) {
    for (j=0; j<ncon; j++) 
      kpwgts[where[i]*ncon+j] += vwgt[i*ncon+j];
  }

  if (ncon == 1) {
    printf("\tBalance: %5.3f out of %5.3f\n", 
            1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*idxsum(nparts, kpwgts)),
            1.0*nparts*vwgt[idxamax(nvtxs, vwgt)]/(1.0*idxsum(nparts, kpwgts)));
  }
  else {
    printf("\tBalance:");
    for (j=0; j<ncon; j++) 
      printf(" (%5.3f out of %5.3f)", 
            1.0*nparts*kpwgts[ncon*idxamax_strd(nparts, kpwgts+j, ncon)+j]/(1.0*idxsum_strd(nparts, kpwgts+j, ncon)),
            1.0*nparts*vwgt[ncon*idxamax_strd(nvtxs, vwgt+j, ncon)+j]/(1.0*idxsum_strd(nparts, kpwgts+j, ncon)));
    printf("\n");
  }


  /* Compute p-adjncy information */
  padjncy = idxsmalloc(nparts*nparts, 0, "ComputePartitionInfo: padjncy");
  padjwgt = idxsmalloc(nparts*nparts, 0, "ComputePartitionInfo: padjwgt");
  padjcut = idxsmalloc(nparts*nparts, 0, "ComputePartitionInfo: padjwgt");

  idxset(nparts, 0, kpwgts);
  for (i=0; i<nvtxs; i++) {
    for (j=xadj[i]; j<xadj[i+1]; j++) {
      if (where[i] != where[adjncy[j]]) {
        padjncy[where[i]*nparts+where[adjncy[j]]] = 1;
        padjcut[where[i]*nparts+where[adjncy[j]]] += adjwgt[j];
        if (kpwgts[where[adjncy[j]]] == 0) {
          padjwgt[where[i]*nparts+where[adjncy[j]]]++;
          kpwgts[where[adjncy[j]]] = 1;
        }
      }
    }
    for (j=xadj[i]; j<xadj[i+1]; j++) 
      kpwgts[where[adjncy[j]]] = 0;
  }

  for (i=0; i<nparts; i++)
    kpwgts[i] = idxsum(nparts, padjncy+i*nparts);
  printf("Min/Max/Avg/Bal # of adjacent     subdomains: %5d %5d %5.2f %7.3f\n",
    kpwgts[idxamin(nparts, kpwgts)], kpwgts[idxamax(nparts, kpwgts)], 
    1.0*idxsum(nparts, kpwgts)/(1.0*nparts), 
    1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*idxsum(nparts, kpwgts)));

  for (i=0; i<nparts; i++)
    kpwgts[i] = idxsum(nparts, padjcut+i*nparts);
  printf("Min/Max/Avg/Bal # of adjacent subdomain cuts: %5d %5d %5d %7.3f\n",
    kpwgts[idxamin(nparts, kpwgts)], kpwgts[idxamax(nparts, kpwgts)], idxsum(nparts, kpwgts)/nparts, 
    1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*idxsum(nparts, kpwgts)));

  for (i=0; i<nparts; i++)
    kpwgts[i] = idxsum(nparts, padjwgt+i*nparts);
  printf("Min/Max/Avg/Bal/Frac # of interface    nodes: %5d %5d %5d %7.3f %7.3f\n",
    kpwgts[idxamin(nparts, kpwgts)], kpwgts[idxamax(nparts, kpwgts)], idxsum(nparts, kpwgts)/nparts, 
    1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*idxsum(nparts, kpwgts)), 1.0*idxsum(nparts, kpwgts)/(1.0*nvtxs));

  tmpptr = graph->where;
  graph->where = where;
  for (i=0; i<nparts; i++)
    IsConnectedSubdomain(NULL, graph, i, 1);
  graph->where = tmpptr;

  if (mustfree == 1 || mustfree == 3) {
    free(vwgt);
    graph->vwgt = NULL;
  }
  if (mustfree == 2 || mustfree == 3) {
    free(adjwgt);
    graph->adjwgt = NULL;
  }

  GKfree(&kpwgts, &padjncy, &padjwgt, &padjcut, LTERM);
}


/*************************************************************************
* This function computes cuts and balance information
**************************************************************************/
void ComputePartitionInfoBipartite(GraphType *graph, int nparts, idxtype *where)
{
  int i, j/* , k */, nvtxs, ncon, mustfree=0;
  idxtype *xadj, *adjncy, *vwgt, *vsize, *adjwgt, *kpwgts/* , *tmpptr */;
  idxtype *padjncy, *padjwgt, *padjcut;

  nvtxs = graph->nvtxs;
  ncon = graph->ncon;
  xadj = graph->xadj;
  adjncy = graph->adjncy;
  vwgt = graph->vwgt;
  vsize = graph->vsize;
  adjwgt = graph->adjwgt;

  if (vwgt == NULL) {
    vwgt = graph->vwgt = idxsmalloc(nvtxs, 1, "vwgt");
    mustfree = 1;
  }
  if (adjwgt == NULL) {
    adjwgt = graph->adjwgt = idxsmalloc(xadj[nvtxs], 1, "adjwgt");
    mustfree += 2;
  }

  printf("%d-way Cut: %5d, Vol: %5d, ", nparts, ComputeCut(graph, where), ComputeVolume(graph, where));

  /* Compute balance information */
  kpwgts = idxsmalloc(ncon*nparts, 0, "ComputePartitionInfo: kpwgts");

  for (i=0; i<nvtxs; i++) {
    for (j=0; j<ncon; j++) 
      kpwgts[where[i]*ncon+j] += vwgt[i*ncon+j];
  }

  if (ncon == 1) {
    printf("\tBalance: %5.3f out of %5.3f\n", 
            1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*idxsum(nparts, kpwgts)),
            1.0*nparts*vwgt[idxamax(nvtxs, vwgt)]/(1.0*idxsum(nparts, kpwgts)));
  }
  else {
    printf("\tBalance:");
    for (j=0; j<ncon; j++) 
      printf(" (%5.3f out of %5.3f)", 
            1.0*nparts*kpwgts[ncon*idxamax_strd(nparts, kpwgts+j, ncon)+j]/(1.0*idxsum_strd(nparts, kpwgts+j, ncon)),
            1.0*nparts*vwgt[ncon*idxamax_strd(nvtxs, vwgt+j, ncon)+j]/(1.0*idxsum_strd(nparts, kpwgts+j, ncon)));
    printf("\n");
  }


  /* Compute p-adjncy information */
  padjncy = idxsmalloc(nparts*nparts, 0, "ComputePartitionInfo: padjncy");
  padjwgt = idxsmalloc(nparts*nparts, 0, "ComputePartitionInfo: padjwgt");
  padjcut = idxsmalloc(nparts*nparts, 0, "ComputePartitionInfo: padjwgt");

  idxset(nparts, 0, kpwgts);
  for (i=0; i<nvtxs; i++) {
    for (j=xadj[i]; j<xadj[i+1]; j++) {
      if (where[i] != where[adjncy[j]]) {
        padjncy[where[i]*nparts+where[adjncy[j]]] = 1;
        padjcut[where[i]*nparts+where[adjncy[j]]] += adjwgt[j];
        if (kpwgts[where[adjncy[j]]] == 0) {
          padjwgt[where[i]*nparts+where[adjncy[j]]] += vsize[i];
          kpwgts[where[adjncy[j]]] = 1;
        }
      }
    }
    for (j=xadj[i]; j<xadj[i+1]; j++) 
      kpwgts[where[adjncy[j]]] = 0;
  }

  for (i=0; i<nparts; i++)
    kpwgts[i] = idxsum(nparts, padjncy+i*nparts);
  printf("Min/Max/Avg/Bal # of adjacent     subdomains: %5d %5d %5d %7.3f\n",
    kpwgts[idxamin(nparts, kpwgts)], kpwgts[idxamax(nparts, kpwgts)], idxsum(nparts, kpwgts)/nparts, 
    1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*idxsum(nparts, kpwgts)));

  for (i=0; i<nparts; i++)
    kpwgts[i] = idxsum(nparts, padjcut+i*nparts);
  printf("Min/Max/Avg/Bal # of adjacent subdomain cuts: %5d %5d %5d %7.3f\n",
    kpwgts[idxamin(nparts, kpwgts)], kpwgts[idxamax(nparts, kpwgts)], idxsum(nparts, kpwgts)/nparts, 
    1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*idxsum(nparts, kpwgts)));

  for (i=0; i<nparts; i++)
    kpwgts[i] = idxsum(nparts, padjwgt+i*nparts);
  printf("Min/Max/Avg/Bal/Frac # of interface    nodes: %5d %5d %5d %7.3f %7.3f\n",
    kpwgts[idxamin(nparts, kpwgts)], kpwgts[idxamax(nparts, kpwgts)], idxsum(nparts, kpwgts)/nparts, 
    1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*idxsum(nparts, kpwgts)), 1.0*idxsum(nparts, kpwgts)/(1.0*nvtxs));


  if (mustfree == 1 || mustfree == 3) {
    free(vwgt);
    graph->vwgt = NULL;
  }
  if (mustfree == 2 || mustfree == 3) {
    free(adjwgt);
    graph->adjwgt = NULL;
  }

  GKfree(&kpwgts, &padjncy, &padjwgt, &padjcut, LTERM);
}



/*************************************************************************
* This function computes the balance of the partitioning
**************************************************************************/
void ComputePartitionBalance(GraphType *graph, int nparts, idxtype *where, float *ubvec)
{
  int i, j, nvtxs, ncon;
  idxtype *kpwgts, *vwgt;
/*   float balance; */

  nvtxs = graph->nvtxs;
  ncon = graph->ncon;
  vwgt = graph->vwgt;

  kpwgts = idxsmalloc(nparts, 0, "ComputePartitionInfo: kpwgts");

  if (vwgt == NULL) {
    for (i=0; i<nvtxs; i++)
      kpwgts[where[i]]++;
    ubvec[0] = 1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*nvtxs);
  }
  else {
    for (j=0; j<ncon; j++) {
      idxset(nparts, 0, kpwgts);
      for (i=0; i<graph->nvtxs; i++)
        kpwgts[where[i]] += vwgt[i*ncon+j];

      ubvec[j] = 1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*idxsum(nparts, kpwgts));
    }
  }

  free(kpwgts);

}


/*************************************************************************
* This function computes the balance of the element partitioning
**************************************************************************/
float ComputeElementBalance(int ne, int nparts, idxtype *where)
{
  int i;
  idxtype *kpwgts;
  float balance;

  kpwgts = idxsmalloc(nparts, 0, "ComputeElementBalance: kpwgts");

  for (i=0; i<ne; i++)
    kpwgts[where[i]]++;

  balance = 1.0*nparts*kpwgts[idxamax(nparts, kpwgts)]/(1.0*idxsum(nparts, kpwgts));

  free(kpwgts);

  return balance;

}

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