/* nag_mv_ordinal_multidimscale (g03fcc) Example Program.
 *
 * Copyright 1998 Numerical Algorithms Group.
 *
 * Mark 5, 1998.
 * Mark 6 revised, 2000.
 * Mark 7 revised, 2001.
 * Mark 8 revised, 2004.
 *
 */

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

#define NMAX 14
#define NNMAX NMAX*(NMAX-1)/2

#define X(I,J) x[(I-1)*tdx + (J-1)]
#define XTMP(I) xtmp[(I)-1]
#define YTMP(I) ytmp[(I)-1]



int main(void)
{
  Integer exit_status=0, i, j, n, ndim, nn, tdx=NMAX;
  NagError fail;
  Nag_ScaleCriterion type;
  char char_type[2];
  double *d=0, *dfit=0, *e=0, stress, *x=0;

  INIT_FAIL(fail);
  Vprintf("nag_mv_ordinal_multidimscale (g03fcc) Example Program Results\n\n");

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

  Vscanf("%ld",&n);
  Vscanf("%ld",&ndim);
  Vscanf("%s",char_type);

  if (ndim>=1 && n>ndim)
    {
      if ( !( d = NAG_ALLOC(n*(n-1)/2, double)) ||
           !( dfit = NAG_ALLOC(4*(n*(n-1)/2), double)) ||
           !( e = NAG_ALLOC(n, double)) ||
           !( x = NAG_ALLOC(n*n, double)) )
        {
          Vprintf("Allocation failure\n");
          exit_status = -1;
          goto END;
        }
      tdx = n;
    }
  else
    {
      Vprintf("Invalid ndim or n.\n");
      exit_status = 1;
      return exit_status;
    }
  nn = n * (n - 1) / 2;
  for (i = 1; i <= nn; ++i)
    Vscanf("%lf",&d[i-1]);

  /* nag_mv_prin_coord_analysis (g03fac).
   * Principal co-ordinate analysis
   */
  nag_mv_prin_coord_analysis(Nag_LargeEigVals, n, d, ndim, x, tdx, e, &fail);
  if (fail.code != NE_NOERROR)
    {
      Vprintf("Error from nag_mv_prin_coord_analysis (g03fac).\n%s\n",
              fail.message);
      exit_status = 1;
      goto END;
    }
  if (*char_type == 'T')
    type = Nag_Stress;
  else
    type = Nag_SStress;

  /* nag_mv_ordinal_multidimscale (g03fcc).
   * Multidimensional scaling
   */
  nag_mv_ordinal_multidimscale(type, n, ndim, d, x, tdx, &stress, dfit,
                               E04_DEFAULT, &fail);
  if (fail.code != NE_NOERROR)
    {
      Vprintf("Error from nag_mv_ordinal_multidimscale (g03fcc).\n%s\n",
              fail.message);
      exit_status = 1;
      goto END;
    }

  Vprintf("\n          STRESS = %13.4e\n\n",stress);
  Vprintf("Co-ordinates\n\n");

  for (i = 1; i <= n; ++i)
    {
      for (j = 1; j <= ndim; ++j)
        Vprintf("%10.4f",X(i,j));
      Vprintf("\n");
    }
 END:
  if (d) NAG_FREE(d);
  if (dfit) NAG_FREE(dfit);
  if (e) NAG_FREE(e);
  if (x) NAG_FREE(x);
  return exit_status;
}