/* nag_regsn_mult_linear_tran_model(g02dkc) 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 TDC MMAX
#define TDQ MMAX+1
#define TDX MMAX

int main(void)
{
  double   rss, tol;
  Integer  i, iconst, ip, rank, j, m, n;
  double df;
  Boolean  svd;
  Nag_IncludeMean  mean;
  char     weight, meanc;
  double   b[MMAX], c[MMAX][MMAX], cov[MMAX*(MMAX+1)/2], h[NMAX],
  p[MMAX*(MMAX+2)], q[NMAX][MMAX+1], res[NMAX], se[MMAX],
  com_ar[4*MMAX*MMAX+5*(MMAX-1)], wt[NMAX], x[NMAX][MMAX], y[NMAX];
  Integer  sx[MMAX];
  double   *wtptr;

  Vprintf("g02dkc 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("Estimates from g02dac\n\n");
      Vprintf("Residual sum of squares = %13.4e\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");
      /*
       *    Input constraints and call g02dkc
       */
      iconst = ip - rank;
      for (i=0; i<ip; ++i)
        for (j=0; j<iconst; ++j)
          Vscanf("%lf", &c[i][j]);

      g02dkc(ip, iconst, p, &c[0][0], (Integer)TDC, b, rss, df, se, cov,
             NAGERR_DEFAULT);

      Vprintf("\n");
      Vprintf("Estimates from g02dkc using constraints\n\n");
      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");
    }
  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;
}