/* nag_quartic_roots (c02alc) Example Program.
 *
 * Copyright 2017 Numerical Algorithms Group.
 *
 * NAG C Library
 *
 * Mark 26.1, 2017.
 */

#include <stdio.h>
#include <nag.h>
#include <nag_stdlib.h>
#include <nagc02.h>

int main(void)
{
  double a, b, c, d, e;
  double *errest = 0, *zeroi = 0, *zeror = 0;
  Integer i;
  Integer exit_status = 0;
  NagError fail;

  INIT_FAIL(fail);

  printf("nag_quartic_roots (c02alc) Example Program Results\n\n");
  if (!(errest = NAG_ALLOC(4, double)) ||
      !(zeroi = NAG_ALLOC(4, double)) || !(zeror = NAG_ALLOC(4, double))
         )
  {
    printf("Allocation failure\n");
    exit_status = -1;
    goto END;
  }

  /* Skip heading in data file */
  scanf("%*[^\n]");
  scanf("%lf %lf %lf %lf %lf", &e, &a, &b, &c, &d);

  /* nag_quartic_roots (c02alc).
   * Zeros of a real quartic polynomial with real coefficients
   */
  nag_quartic_roots(e, a, b, c, d, zeror, zeroi, errest, &fail);
  if (fail.code == NE_NOERROR) {
    printf(" Roots of quartic equation          Error estimates\n");
    printf("                                   (machine-dependent)\n\n");
    for (i = 0; i <= 3; ++i) {
      printf("%s %10.5f %10.5f%s        %g\n", " z =",
             zeror[i], zeroi[i], "*i", errest[i]);
    }
  }
  else {
    printf("Error from nag_quartic_roots (c02alc).\n%s\n", fail.message);
    exit_status = 1;
    goto END;
  }
END:
  NAG_FREE(errest);
  NAG_FREE(zeroi);
  NAG_FREE(zeror);
  return exit_status;
}