/* nag_glm_binomial (g02gbc) Example Program.
 *
 * Copyright 1996 Numerical Algorithms Group.
 *
 * Mark 4, 1996.
 * Mark 8 revised, 2004.
 *
 */

#include <nag.h>
#include <nagx04.h>
#include <stdio.h>
#include <nag_stdlib.h>
#include <ctype.h>
#include <nagg02.h>

#define X(I, J) x[(I) *tdx + J]
#define V(I, J) v[(I) *tdv + J]

int main(int argc, char *argv[])
{
  FILE            *fpin, *fpout;
  Integer         exit_status = 0, i, *ivar = 0, j, m, max_iter, n, nvar,
                  print_iter;
  Integer         rank, tdv, tdx;
  Nag_IncludeMean mean;
  Nag_Link        link;
  Nag_Boolean     weight;
  char            nag_enum_arg[40];
  double          dev, df, eps, tol;
  double          *beta = 0, *binom = 0, *cov = 0, *offsetptr = 0, *se = 0;
  double          *v = 0, *wt = 0, *wtptr, *x = 0, *y = 0;
  NagError        fail;

  INIT_FAIL(fail);

  /* Check for command-line IO options */
  fpin = nag_example_file_io(argc, argv, "-data", NULL);
  fpout = nag_example_file_io(argc, argv, "-results", NULL);

  fprintf(fpout, "nag_glm_binomial (g02gbc) Example Program Results\n");
  /* Skip heading in data file */
  fscanf(fpin, "%*[^\n]");
  fscanf(fpin, "%s", nag_enum_arg);
  /* nag_enum_name_to_value(x04nac).
   * Converts NAG enum member name to value
   */
  link = (Nag_Link) nag_enum_name_to_value(nag_enum_arg);
  fscanf(fpin, "%s", nag_enum_arg);
  mean = (Nag_IncludeMean) nag_enum_name_to_value(nag_enum_arg);
  fscanf(fpin, "%s", nag_enum_arg);
  weight = (Nag_Boolean) nag_enum_name_to_value(nag_enum_arg);
  fscanf(fpin, "%ld %ld %ld", &n, &m, &print_iter);

  if (n >= 2 && m >= 1)
    {
      if (!(binom = NAG_ALLOC(n, double)) ||
          !(wt = NAG_ALLOC(n, double)) ||
          !(x = NAG_ALLOC(n*m, double)) ||
          !(y = NAG_ALLOC(n, double)) ||
          !(ivar = NAG_ALLOC(m, Integer)))
        {
          fprintf(fpout, "Allocation failure\n");
          exit_status = -1;
          goto END;
        }
      tdx = m;
    }
  else
    {
      fprintf(fpout, "Invalid n or m.\n");
      exit_status = 1;
      return exit_status;
    }
  if (weight)
    {
      wtptr = wt;
      for (i = 0; i < n; i++)
        {
          for (j = 0; j < m; j++)
            fscanf(fpin, "%lf", &X(i, j));
          fscanf(fpin, "%lf%lf%lf", &y[i], &binom[i], &wt[i]);
        }
    }
  else
    {
      wtptr = (double *) 0;
      for (i = 0; i < n; i++)
        {
          for (j = 0; j < m; j++)
            fscanf(fpin, "%lf", &X(i, j));
          fscanf(fpin, "%lf%lf", &y[i], &binom[i]);
        }
    }
  for (j = 0; j < m; j++)
    fscanf(fpin, "%ld", &ivar[j]);

  /* Calculate nvar */
  nvar = 0;
  for (i = 0; i < m; i++)
    if (ivar[i] > 0) nvar += 1;
  if (mean == Nag_MeanInclude)
    nvar += 1;


  if (!(beta = NAG_ALLOC(nvar, double)) ||
      !(v = NAG_ALLOC((n)*(nvar+6), double)) ||
      !(se = NAG_ALLOC(nvar, double)) ||
      !(cov = NAG_ALLOC(nvar*(nvar+1)/2, double)))
    {
      fprintf(fpout, "Allocation failure\n");
      exit_status = -1;
      goto END;
    }
  tdv = nvar+6;

  /* Set other control parameters */
  max_iter = 10;
  tol = 5e-5;
  eps = 1e-6;

  /* nag_glm_binomial (g02gbc).
   * Fits a generalized linear model with binomial errors
   */
  nag_glm_binomial(link, mean, n, x, tdx, m, ivar, nvar, y, binom, wtptr,
                   offsetptr, &dev, &df, beta, &rank,
                   se, cov, v, tdv, tol, max_iter, print_iter, "",
                   eps, &fail);

  if (fail.code == NE_NOERROR || fail.code == NE_SVD_NOT_CONV ||
      fail.code == NE_LSQ_ITER_NOT_CONV ||
      fail.code == NE_RANK_CHANGED || fail.code == NE_ZERO_DOF_ERROR)
    {
      if (fail.code != NE_NOERROR) {
        fprintf(fpout, "Error from nag_glm_binomial (g02gbc).\n%s\n",
                fail.message);
      }
      fprintf(fpout, "\nDeviance = %13.4e\n", dev);
      fprintf(fpout, "Degrees of freedom = %3.1f\n\n", df);
      fprintf(fpout, "       Estimate     Standard error\n\n");
      for (i = 0; i < nvar; i++)
        fprintf(fpout, "%14.4f%14.4f\n", beta[i], se[i]);
      fprintf(fpout, "\n");
      fprintf(fpout, "     binom     y   fitted value  Residual  Leverage\n\n");
      for (i = 0; i < n; ++i)
        {
          fprintf(fpout, "%10.1f%7.1f%10.2f%12.4f%10.3f\n", binom[i], y[i],
                  V(i, 1), V(i, 4), V(i, 5));
        }
    }
  else
    {
      fprintf(fpout, "Error from nag_glm_binomial (g02gbc).\n%s\n",
              fail.message);
      exit_status = 1;
      goto END;
    }
 END:
  if (fpin != stdin) fclose(fpin);
  if (fpout != stdout) fclose(fpout);
  if (binom) NAG_FREE(binom);
  if (wt) NAG_FREE(wt);
  if (x) NAG_FREE(x);
  if (y) NAG_FREE(y);
  if (beta) NAG_FREE(beta);
  if (v) NAG_FREE(v);
  if (se) NAG_FREE(se);
  if (cov) NAG_FREE(cov);
  if (ivar) NAG_FREE(ivar);

  return exit_status;
}