/* nag_regsn_mult_linear_est_func(g02dnc) Example Program
 *
 * Copyright 1991 Numerical Algorithms Group.
 *
 * Mark 2, 1991.
 */

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

#define NMAX 12
#define MMAX 5
#define TDQ MMAX+1
#define TDX MMAX

int main(void)
{
  double   rss, sestat, stat, t, tol;
  Integer  i, ip, rank, j, m, n, nestern;
  double df;
  Boolean  est, svd;
  Nag_IncludeMean  mean;
  char     meanc, weight;
  double   b[MMAX], cov[MMAX*(MMAX+1)/2], f[MMAX], h[NMAX],
  p[MMAX*(MMAX+2)], q[NMAX][MMAX+1], res[NMAX], se[MMAX],
  com_ar[MMAX*MMAX+5*(MMAX-1)], wt[NMAX], x[NMAX][MMAX], y[NMAX];
  Integer  sx[MMAX];
  double   *wtptr;
  static   NagError fail;

  Vprintf("g02dnc Example Program Results\n");
  /* Skip heading in data file */
  Vscanf("%*[^\n]");
  Vscanf("%ld %ld %c %c", &n, &m, &weight, &meanc);
  if (meanc=='m')
    mean = Nag_MeanInclude;
  else
    mean = Nag_MeanZero;
  if (n<=NMAX && m<MMAX)
    {
      if (weight=='w')
        {
          wtptr = wt;
          for (i=0; i<n; i++)
            {
              for (j=0; j<m; j++)
                Vscanf("%lf", &x[i][j]);
              Vscanf("%lf%lf", &y[i], &wt[i]);
            }
        }
      else
        {
          wtptr = (double *)0;
          for (i=0; i<n; i++)
            {
              for (j=0; j<m; j++)
                Vscanf("%lf", &x[i][j]);
              Vscanf("%lf", &y[i]);
            }
        }
      for (j=0; j<m; j++)
        Vscanf("%ld", &sx[j]);
      Vscanf("%ld", &ip);
      /* Set tolerance */
      tol = 0.00001e0;

      /*
       *    Find initial estimates using g02dac
       */
      g02dac(mean, n, &x[0][0], (Integer)TDX, m, sx, ip, y, wtptr,
             &rss, &df, b, se, cov, res, h, &q[0][0], (Integer)(TDQ),
             &svd, &rank, p, tol, com_ar, NAGERR_DEFAULT);

      Vprintf("\n");
      Vprintf("Estimates from g02dac\n\n");
      Vprintf("Residual sum of squares = %12.4e\n", rss);
      Vprintf("Degrees of freedom = %3.1f\n\n", df);
      Vprintf("Variable   Parameter estimate   Standard error\n\n");
      for (j=0; j<ip; j++)
        Vprintf("%6ld%20.4e%20.4e\n", j+1, b[j], se[j]);
      Vprintf("\n");

      Vscanf("%ld", &nestern);
      for (i=1; i<=nestern; ++i)
        {
          for (j=0; j<ip; ++j)
            Vscanf("%lf", &f[j]);

          g02dnc(ip, rank, b, cov, p, f, &est, &stat, &sestat, &t, tol,
                 &fail);

          if (fail.code==NE_NOERROR || fail.code==NE_RANK_EQ_IP)
            {
              Vprintf("\n");
              Vprintf("Function %ld\n\n", i);
              for (j=0; j<ip; ++j)
                Vprintf("%8.2f%c", f[j], (j%5==4 || j==ip-1) ? '\n' : ' ');
              Vprintf("\n");
              if (est)
                Vprintf(" stat = %10.4f  se = %10.4f   t = %10.4f\n",
                        stat, sestat, t);
              else
                Vprintf("Function not estimable\n");
            }
          else
            Vprintf("%s\n",fail.message);
        }
    }
  else
    {
      Vfprintf(stderr, "One or both of m and n are out of range:"
               " m = %-3ld while  n = %-3ld\n", m, n);
      return EXIT_FAILURE;
    }
  return EXIT_SUCCESS;
}