/* nag_mv_hierar_cluster_analysis (g03ecc) Example Program.
 *
 * Copyright 1998 Numerical Algorithms Group.
 *
 * Mark 5, 1998.
 * 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, j, m, n, nsym, tdx;
  Integer           *ilc = 0, *iord = 0, *isx = 0, *iuc = 0;
  char              **c = 0, name[NMAX][2];
  double            dmin_, dstep, ydist;
  double            *cd = 0, *d = 0, *dord = 0, *s = 0, *x = 0;
  char              nag_enum_arg[40];
  Nag_ClusterMethod method;
  Nag_DistanceType  dist;
  Nag_MatUpdate     update;
  Nag_VarScaleType  scale;
  NagError          fail;

  INIT_FAIL(fail);

  printf("nag_mv_hierar_cluster_analysis (g03ecc) Example Program "
          "Results\n\n");

  /* Skip heading in data file  */
  scanf("%*[^\n]");
  scanf("%ld", &n);
  scanf("%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)) ||
          !(ilc = NAG_ALLOC(n-1, Integer)) ||
          !(iord = NAG_ALLOC(n, Integer)) ||
          !(isx = NAG_ALLOC(m, Integer)) ||
          !(iuc = NAG_ALLOC(n-1, Integer)))
        {
          printf("Allocation failure\n");
          exit_status = -1;
          goto END;
        }
      tdx = m;
    }
  else
    {
      printf("Invalid n or m.\n");
      exit_status = 1;
      return exit_status;
    }
  scanf("%s", nag_enum_arg);
  /* nag_enum_name_to_value(x04nac).
   * Converts NAG enum member name to value
   */
  method = (Nag_ClusterMethod) nag_enum_name_to_value(nag_enum_arg);
  scanf("%s", nag_enum_arg);
  update = (Nag_MatUpdate) nag_enum_name_to_value(nag_enum_arg);
  scanf("%s", nag_enum_arg);
  dist = (Nag_DistanceType) nag_enum_name_to_value(nag_enum_arg);
  scanf("%s", nag_enum_arg);
  scale = (Nag_VarScaleType) nag_enum_name_to_value(nag_enum_arg);

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

  /* 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)
    {
      printf("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)
    {
      printf(
              "Error from nag_mv_hierar_cluster_analysis (g03ecc).\n%s\n",
              fail.message);
      exit_status = 1;
      goto END;
    }

  printf("\n   Distance   Clusters Joined\n\n");
  for (i = 1; i <= n-1; ++i)
    printf("%10.3f     %3s%3s\n", cd[i-1], name[ilc[i-1]-1],
            name[iuc[i-1]-1]);

  /* 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)
    {
      printf("Error from nag_mv_dendrogram (g03ehc).\n%s\n",
              fail.message);
      exit_status = 1;
      goto END;
    }
  printf("\n");
  printf("Dendrogram ");
  printf("\n");
  printf("\n");
  ydist = cd[n - 2];
  for (i = 0; i < nsym; ++i)
    {
      if ((i+1) % 3 == 1)
        {
          printf("%10.3f%6s", ydist, "");
          printf("%s", c[i]);
          printf("\n");
        }
      else
        {
          printf("%16s%s", "", c[i]);
          printf("\n");
        }
      ydist -= dstep;
    }
  printf("\n");
  printf("%14s", "");
  for (i = 0; i < n; ++i)
    {
      printf("%3s", name[iord[i]-1]);
    }
  printf("\n");
  /* nag_mv_dend_free (g03xzc).
   * Frees memory allocated to the dendrogram array in
   * nag_mv_dendrogram (g03ehc)
   */
  nag_mv_dend_free(&c);

 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 (ilc) NAG_FREE(ilc);
  if (iord) NAG_FREE(iord);
  if (isx) NAG_FREE(isx);
  if (iuc) NAG_FREE(iuc);

  return exit_status;
}