/* nag_mv_discrim_group (g03dcc) 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 ATI(I, J)   ati[(I) *tdati + J]
#define GMEAN(I, J) gmean[(I) *tdgmean + J]
#define P(I, J)     p[(I) *tdp + J]
#define X(I, J)     x[(I) *tdx + J]

int main(void)
{
  Integer           exit_status = 0, i, *iag = 0, *ing = 0, *isx = 0, j, m, n,
                    ng, *nig = 0, nobs;
  Integer           nvar, tdati, tdgmean, tdp, tdx;
  double            *ati = 0, *det = 0, df, *gc = 0, *gmean = 0, *p = 0;
  double            *prior = 0, sig, stat, *wt = 0, *wtptr = 0, *x = 0;
  char              nag_enum_arg[40];
  Nag_Boolean       atiq = Nag_TRUE, weight;
  Nag_DiscrimMethod type;
  Nag_GroupCovars   equal;
  NagError          fail;

  INIT_FAIL(fail);

  printf("nag_mv_discrim_group (g03dcc) Example Program Results\n\n");

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

  scanf("%ld", &n);
  scanf("%ld", &m);
  scanf("%ld", &nvar);
  scanf("%ld", &ng);
  scanf("%s", nag_enum_arg);
  /* nag_enum_name_to_value(x04nac).
   * Converts NAG enum member name to value
   */
  weight = (Nag_Boolean) nag_enum_name_to_value(nag_enum_arg);

  if (n >= 1 && nvar >= 1 && m >= nvar && ng >= 2)
    {
      if (!(det = NAG_ALLOC(ng, double)) ||
          !(gc = NAG_ALLOC((ng+1)*nvar*(nvar+1)/2, double)) ||
          !(gmean = NAG_ALLOC((ng)*(nvar), double)) ||
          !(prior = NAG_ALLOC(ng, double)) ||
          !(wt = NAG_ALLOC(n, double)) ||
          !(x = NAG_ALLOC((n)*(m), double)) ||
          !(ing = NAG_ALLOC(n, Integer)) ||
          !(isx = NAG_ALLOC(m, Integer)) ||
          !(nig = NAG_ALLOC(ng, Integer)))
        {
          printf("Allocation failure\n");
          exit_status = -1;
          goto END;
        }
      tdati = ng;
      tdgmean = nvar;
      tdp = ng;
      tdx = m;
    }
  else
    {
      printf("Invalid n or nvar or ng.\n");
      exit_status = 1;
      return exit_status;
    }
  if (weight)
    {
      for (i = 0; i < n; ++i)
        {
          for (j = 0; j < m; ++j)
            scanf("%lf", &X(i, j));
          scanf("%ld", &ing[i]);
          scanf("%lf", &wt[i]);
        }
      wtptr = wt;
    }
  else
    {
      for (i = 0; i < n; ++i)
        {
          for (j = 0; j < m; ++j)
            scanf("%lf", &X(i, j));
          scanf("%ld", &ing[i]);
        }
    }
  for (j = 0; j < m; ++j)
    scanf("%ld", &isx[j]);

  /* nag_mv_discrim (g03dac).
   * Test for equality of within-group covariance matrices
   */
  nag_mv_discrim(n, m, x, tdx, isx, nvar, ing, ng, wtptr, nig,
                 gmean, tdgmean, det, gc, &stat, &df, &sig, &fail);
  if (fail.code != NE_NOERROR)
    {
      printf("Error from nag_mv_discrim (g03dac).\n%s\n", fail.message);
      exit_status = 1;
      goto END;
    }
  scanf("%ld", &nobs);
  scanf("%s", nag_enum_arg);
  equal = (Nag_GroupCovars) nag_enum_name_to_value(nag_enum_arg);
  scanf("%s", nag_enum_arg);
  type = (Nag_DiscrimMethod) nag_enum_name_to_value(nag_enum_arg);
  if (nobs >= 1)
    {
      if (!(ati = NAG_ALLOC((nobs)*(ng), double)) ||
          !(p = NAG_ALLOC((nobs)*(ng), double)) ||
          !(iag = NAG_ALLOC(nobs, Integer)))
        {
          printf("Allocation failure\n");
          exit_status = -1;
          goto END;
        }
      tdati = ng;
      tdp = ng;
      for (i = 0; i < nobs; ++i)
        {
          for (j = 0; j < m; ++j)
            {
              scanf("%lf", &X(i, j));
            }
        }

      /* nag_mv_discrim_group (g03dcc).
       * Allocates observations to groups, following
       * nag_mv_discrim (g03dac)
       */
      nag_mv_discrim_group(type, equal, Nag_EqualPrior, nvar, ng, nig, gmean,
                           tdgmean, gc, det, nobs, m, isx, x, tdx, prior, p,
                           tdp, iag, atiq, ati, &fail);
      if (fail.code != NE_NOERROR)
        {
          printf("Error from nag_mv_discrim_group (g03dcc).\n%s\n",
                  fail.message);
          exit_status = 1;
          goto END;
        }

      printf("\n");
      printf("    Obs       Posterior        Allocated ");
      printf("      Atypicality ");
      printf("\n");
      printf("              probabilities    to group      index ");
      printf("\n");
      printf("\n");
      for (i = 0; i < nobs; ++i)
        {
          printf(" %6ld     ", i+1);
          for (j = 0; j < ng; ++j)
            {
              printf("%6.3f", P(i, j));
            }
          printf("  %6ld    ", iag[i]);
          for (j = 0; j < ng; ++j)
            {
              printf("%6.3f", ATI(i, j));
            }
          printf("\n");
        }
    }

 END:
  if (ati) NAG_FREE(ati);
  if (det) NAG_FREE(det);
  if (gc) NAG_FREE(gc);
  if (gmean) NAG_FREE(gmean);
  if (p) NAG_FREE(p);
  if (prior) NAG_FREE(prior);
  if (wt) NAG_FREE(wt);
  if (x) NAG_FREE(x);
  if (iag) NAG_FREE(iag);
  if (ing) NAG_FREE(ing);
  if (isx) NAG_FREE(isx);
  if (nig) NAG_FREE(nig);
  return exit_status;
}