/* nag_opt_bounds_deriv (e04kbc) Example Program.
 *
 * Copyright 2014 Numerical Algorithms Group.
 *
 * Mark 2, 1991.
 * Mark 6 revised, 2000.
 * Mark 7, revised, 2001.
 * Mark 8 revised, 2004.
 *
 */

#include <nag.h>
#include <stdio.h>
#include <string.h>
#include <nag_stdlib.h>
#include <nage04.h>

#ifdef __cplusplus
extern "C" {
#endif
static void NAG_CALL objfun(Integer n, const double x[], double *f,
                            double g[], Nag_Comm *comm);
#ifdef __cplusplus
}
#endif

int main(void)
{
  const char    *optionsfile = "e04kbce.opt";
  Nag_Boolean   print;
  Integer       exit_status = 0;
  Integer       n;
  Nag_BoundType bound;
  Nag_E04_Opt   options;
  double        *bl = 0, *bu = 0, *g = 0, objf, *x = 0;
  Nag_Comm      comm;
  NagError      fail;

  INIT_FAIL(fail);

  printf("nag_opt_bounds_deriv (e04kbc) Example Program Results\n");
  fflush(stdout);

  n = 4;
  if (n >= 1)
    {
      if (!(x = NAG_ALLOC(n, double)) ||
          !(g = NAG_ALLOC(n, double)) ||
          !(bl = NAG_ALLOC(n, double)) ||
          !(bu = NAG_ALLOC(n, double)))
        {
          printf("Allocation failure\n");
          exit_status = -1;
          goto END;
        }
    }
  else
    {
      printf("Invalid n.\n");
      exit_status = 1;
      return exit_status;
    }

  x[0] = 3.0;
  x[1] = -0.9;
  x[2] = 0.13;
  x[3] = 1.1;

  /* Initialise options structure and read option values from file */
  print = Nag_TRUE;
  /* nag_opt_init (e04xxc).
   * Initialization function for option setting
   */
  nag_opt_init(&options);
  strcpy(options.outfile, "stdout");
  /* nag_opt_read (e04xyc).
   * Read options from a text file
   */
  nag_opt_read("e04kbc", optionsfile, &options, print, options.outfile, &fail);
  if (fail.code != NE_NOERROR)
    {
      printf("Error from nag_opt_read (e04xyc).\n%s\n", fail.message);
      exit_status = 1;
      goto END;
    }
  bound = Nag_Bounds;
  bl[0] = 1.0;
  bu[0] = 3.0;
  bl[1] = -2.0;
  bu[1] = 0.0;
  /* Third variable is not bounded, so third lower bound
   * is set to a large negative number and third upper
   * bound to a large positive number.
   */
  bl[2] = -1.0e10;
  bu[2] = 1.0e10;
  bl[3] = 1.0;
  bu[3] = 3.0;

  /* nag_opt_bounds_deriv (e04kbc), see above. */
  nag_opt_bounds_deriv(n, objfun, bound, bl, bu, x, &objf,
                       g, &options, &comm, &fail);
  if (fail.code != NE_NOERROR)
    {
      printf("Error/Warning from nag_opt_bounds_deriv (e04kbc).\n%s\n",
             fail.message);
      if (fail.code != NW_COND_MIN)
        exit_status = 1;
    }

  /* Free memory allocated by nag_opt_bounds_deriv (e04kbc) to pointers hesd,
   * hesl and state.
   */
  /* nag_opt_free (e04xzc).
   * Memory freeing function for use with option setting
   */
  nag_opt_free(&options, "all", &fail);
  if (fail.code != NE_NOERROR)
    {
      printf("Error from nag_opt_free (e04xzc).\n%s\n", fail.message);
      exit_status = 3;
      goto END;
    }

 END:
  NAG_FREE(x);
  NAG_FREE(g);
  NAG_FREE(bl);
  NAG_FREE(bu);

  return exit_status;
}

static void NAG_CALL objfun(Integer n, const double x[], double *objf,
                            double g[], Nag_Comm *comm)
{
  /* Routine to evaluate objective function. */

  double x1, x2, x3, x4;
  double tmp, tmp1, tmp2, tmp3, tmp4;

  x1 = x[0];
  x2 = x[1];
  x3 = x[2];
  x4 = x[3];

  /* Supply a single function value */
  tmp1 = x1 + 10.0*x2;
  tmp2 = x3 - x4;
  tmp3 = x2 - 2.0*x3, tmp3 *= tmp3;
  tmp4 = x1 - x4, tmp4 *= tmp4;
  *objf = tmp1*tmp1 + 5.0*tmp2*tmp2 + tmp3*tmp3 + 10.0*tmp4*tmp4;

  if (comm->flag != 0)
    {
      tmp = x1 - x4;
      g[0] = 2.0*(x1 + 10.0*x2) + 40.0*tmp*tmp*tmp;
      tmp = x2 - 2.0*x3;
      g[1] = 20.0*(x1 + 10.0*x2) + 4.0*tmp*tmp*tmp;
      tmp = x2 - 2.0*x3;
      g[2] = 10.0*(x3 - x4) - 8.0*tmp*tmp*tmp;
      tmp = x1 - x4;
      g[3] = 10.0*(x4 - x3) - 40.0*tmp*tmp*tmp;
    }
}                               /* objfun */