/* nag_ken_spe_corr_coeff (g02brc) Example Program.
 *
 * Copyright 1992 Numerical Algorithms Group.
 *
 * Mark 3, 1993.
 * Mark 8 revised, 2004.
 */

#include <nag.h>
#include <stdio.h>
#include <nag_stdlib.h>
#include <nagg02.h>

#define X(I, J)    x[(I) *tdx + J]
#define CORR(I, J) corr[(I) *tdcorr + J]

int main(void)
{
  Integer  exit_status = 0, i, j, m, n, *sobs = 0, *sobsptr, *svar = 0;
  Integer  *svarptr;
  Integer  tdcorr, tdx;
  NagError fail;
  char     s, w;
  double   *corr = 0, *x = 0;

  INIT_FAIL(fail);

  printf("nag_ken_spe_corr_coeff (g02brc) Example Program Results\n");

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

  /* Read data */
  scanf("%ld%ld\n", &m, &n);
  if (m >= 2 && n >= 2)
    {
      if (!(x = NAG_ALLOC(n*m, double)) ||
          !(corr = NAG_ALLOC(m*m, double)) ||
          !(svar = NAG_ALLOC(m, Integer)) ||
          !(sobs = NAG_ALLOC(n, Integer)))
        {
          printf("Allocation failure\n");
          exit_status = -1;
          goto END;
        }
      tdx = m;
      tdcorr = m;
    }
  else
    {
      printf("Invalid m or n.\n");
      exit_status = 1;
      return exit_status;
    }
  for (i = 0; i < n; i++)
    for (j = 0; j < m; j++)
      scanf("%lf", &X(i, j));

  /* Read flag specifying if svar is to be supplied */
  scanf(" %c", &s);
  if (s == 'S' || s == 's')
    {
      /* Assign pointer to svar and read in values for svar */
      svarptr = svar;
      for (i = 0; i < m; i++)
        scanf("%ld", &svar[i]);
    }
  else
    {
      /* Assign pointer to NULL and discard rest of line */
      svarptr = (Integer *) 0;
      /* skip rest of line */
      scanf(" %*[^\n]");
    }

  /* Read flag specifying if sobs is to be supllied */
  scanf(" %c", &w);
  if (w == 'W' || w == 'w')
    {
      /* Assign pointer to sobs and read in values for sobs */
      sobsptr = sobs;
      for (i = 0; i < n; i++)
        scanf("%ld", &sobs[i]);
    }
  else
    {
      /* Assign pointer to NULL and discard rest of line */
      sobsptr = (Integer *) 0;
      /* skip rest of line */
      scanf(" %*[^\n]");
    }

  /* Calculate the Kendall and Spearman coefficients */
  /* nag_ken_spe_corr_coeff (g02brc).
   * Kendall and/or Spearman non-parametric rank correlation
   * coefficients, allows variables and observations to be
   * selectively disregarded
   */
  nag_ken_spe_corr_coeff(n, m, x, tdx, svarptr, sobsptr, corr, tdcorr,
                         &fail);
  if (fail.code != NE_NOERROR)
    {
      printf("Error from nag_ken_spe_corr_coeff (g02brc).\n%s\n",
              fail.message);
      exit_status = 1;
      goto END;
    }


  printf("\nCorrelation coefficients:\n\n");
  for (i = 0; i < m; i++)
    {
      for (j = 0; j < m; j++)
        printf("%8.5f ", CORR(i, j));
      printf("\n");
    }
 END:
  if (x) NAG_FREE(x);
  if (corr) NAG_FREE(corr);
  if (svar) NAG_FREE(svar);
  if (sobs) NAG_FREE(sobs);
  return exit_status;
}