/* nag_mv_cluster (g03ejc) Example Program.
 *
 * Copyright 1998 Numerical Algorithms Group.
 *
 * Mark 5, 1998.
 *
 * Mark 6 revised, 2000.
 * Mark 8 revised, 2004.
 */

#include <nag.h>
#include <stdio.h>
#include <nag_stdlib.h>
#include <nagg03.h>

#define NMAX 10

#define X(I,J) x[(I)*tdx + J]
int main(void)
{
  Integer exit_status=0, i, *ic=0, *ilc=0, int_method, *iord=0, *isx=0, *iuc=0;
  Integer j, k, m, n, nsym, tdx;
  NagError fail;
  Nag_ClusterMethod method;
  Nag_DistanceType dist;
  Nag_MatUpdate update;
  Nag_VarScaleType scale;
  char **c=0, char_dist[2], char_scale[2], char_update[2], name[NMAX][3];
  double *cd=0, *d=0, dlevel, dmin_, *dord=0, dstep, *s=0, *x=0, ydist;

  INIT_FAIL(fail);
  Vprintf("nag_mv_cluster_indicator (g03ejc) Example Program Results\n\n");

  /* Skip heading in data file */
  Vscanf("%*[^\n]");

  Vscanf("%ld",&n);
  Vscanf("%ld",&m);
  if (n>=2 && m>=1)
    {
      if ( !( cd = NAG_ALLOC(n-1, double)) ||
           !( d = NAG_ALLOC(n*(n-1)/2, double)) ||
           !( dord = NAG_ALLOC(n, double)) ||
           !( s = NAG_ALLOC(m, double)) ||
           !( x = NAG_ALLOC((n)*(m), double))  ||
           !( ic = NAG_ALLOC(n, Integer)) ||
           !( ilc = NAG_ALLOC(n-1, Integer)) ||
           !( iord = NAG_ALLOC(n, Integer)) ||
           !( isx = NAG_ALLOC(m, Integer)) ||
           !( iuc = NAG_ALLOC(n-1, Integer)) )
        {
          Vprintf("Allocation failure\n");
          exit_status = -1;
          goto END;
        }
      tdx=m;
    }
  else
    {
      Vprintf("Invalid n or m.\n");
      exit_status = 1;
      return exit_status;
    }
  Vscanf("%ld",&int_method);
  if (int_method == 1)
    method = Nag_SingleLink;
  else  if (int_method == 2)
    method = Nag_CompleteLink;
  else  if (int_method == 3)
    method = Nag_GroupAverage;
  else if (int_method == 4)
    method = Nag_Centroid;
  else  if (int_method == 5)
    method = Nag_Median;
  else
    method = Nag_MinVariance;

  Vscanf("%s",char_update);
  if (*char_update == 'U')
    update = Nag_MatUp;
  else
    update = Nag_NoMatUp;

  Vscanf("%s",char_dist);
  if (*char_dist == 'A')
    dist = Nag_DistAbs;
  else if (*char_dist == 'E')
    dist = Nag_DistEuclid;
  else
    dist = Nag_DistSquared;

  Vscanf("%s",char_scale);
  if (*char_scale == 'S')
    scale = Nag_VarScaleStd;
  else if (*char_scale == 'R')
    scale = Nag_VarScaleRange;
  else if (*char_scale == 'G')
    scale = Nag_VarScaleUser;
  else
    scale = Nag_NoVarScale;

  for (j = 0; j < n; ++j)
    {
      for (i = 0; i < m; ++i)
        Vscanf("%lf",&X(j,i));
      Vscanf("%s",name[j]);
    }
  for (i = 0; i < m; ++i)
    Vscanf("%ld",&isx[i]);
  for (i = 0; i < m; ++i)
    Vscanf("%lf",&s[i]);

  Vscanf("%ld",&k);
  Vscanf("%lf",&dlevel);

  /* Compute the distance matrix */
  /* nag_mv_distance_mat (g03eac).
   * Compute distance (dissimilarity) matrix
   */
  nag_mv_distance_mat(update, dist, scale, n, m, x, tdx, isx, s, d, &fail);
  if (fail.code != NE_NOERROR)
    {
      Vprintf("Error from nag_mv_distance_mat (g03eac).\n%s\n", fail.message);
      exit_status = 1;
      goto END;
    }

  /* Perform clustering */
  /* nag_mv_hierar_cluster_analysis (g03ecc).
   * Hierarchical cluster analysis
   */
  nag_mv_hierar_cluster_analysis(method, n, d, ilc, iuc, cd, iord, dord, &fail);
  if (fail.code != NE_NOERROR)
    {
      Vprintf("Error from nag_mv_cluster_indicator (g03ejc).\n%s\n",
              fail.message);
      exit_status = 1;
      goto END;
    }

  Vprintf("\nDistance   Clusters Joined\n\n");

  for (i = 0; i < n-1; ++i)
    {
      Vprintf("%10.3f     ",cd[i]);
      Vprintf("%3s",name[ilc[i]-1]);
      Vprintf("%3s",name[iuc[i]-1]);
      Vprintf("\n");
    }
  /* Produce dendrogram */
  nsym = 20;
  dmin_ = 0.0;
  dstep = cd[n - 2] / (double) nsym;
  /* nag_mv_dendrogram (g03ehc).
   * Construct dendogram following
   * nag_mv_hierar_cluster_analysis (g03ecc)
   */
  nag_mv_dendrogram(Nag_DendSouth, n, dord, dmin_, dstep, nsym, &c, &fail);
  if (fail.code != NE_NOERROR)
    {
      Vprintf("Error from nag_mv_dendrogram (g03ehc).\n%s\n", fail.message);
      exit_status = 1;
      goto END;
    }
  Vprintf("\n");
  Vprintf("Dendrogram ");
  Vprintf("\n");
  Vprintf("\n");
  ydist = cd[n - 2];
  for (i = 0; i < nsym; ++i)
    {
      if ((i+1) % 3 == 1)
        {
          Vprintf("%10.3f%6s",ydist,"");
          Vprintf("%s",c[i]);
          Vprintf("\n");
        }
      else
        {
          Vprintf("%16s%s","", c[i]);
          Vprintf("\n");
        }
      ydist -= dstep;
    }
  Vprintf("\n");
  Vprintf("%14s","");
  for (i = 0; i < n; ++i)
    {
      Vprintf("%3s",name[iord[i]-1]);
    }
  Vprintf("\n");
  /* nag_mv_dend_free (g03xzc).
   * Frees memory allocated to the dendrogram array in
   * nag_mv_dendrogram (g03ehc)
   */
  nag_mv_dend_free(&c);
  /* nag_mv_cluster_indicator (g03ejc).
   * Construct clusters following
   * nag_mv_hierar_cluster_analysis (g03ecc)
   */
  nag_mv_cluster_indicator(n, cd, iord, dord, &k, &dlevel, ic, &fail);
  if (fail.code != NE_NOERROR)
    {
      Vprintf("Error from nag_mv_cluster_indicator (g03ejc).\n%s\n",
              fail.message);
      exit_status = 1;
      goto END;
    }
  Vprintf("\n%s%2ld%s\n\n","Allocation to ",k," clusters");
  Vprintf("Object  Cluster\n\n");
  for (i = 0; i < n; ++i)
    {
      Vprintf("%5s%s%5s","",name[i],"");
      Vprintf("%ld     ",ic[i]);
      Vprintf("\n");
    }
 END:
  if (cd) NAG_FREE(cd);
  if (d) NAG_FREE(d);
  if (dord) NAG_FREE(dord);
  if (s) NAG_FREE(s);
  if (x) NAG_FREE(x);
  if (ic) NAG_FREE(ic);
  if (ilc) NAG_FREE(ilc);
  if (iord) NAG_FREE(iord);
  if (isx) NAG_FREE(isx);
  if (iuc) NAG_FREE(iuc);
  return exit_status;

}