// copied from GSL manual
// uses new GSL driver routine
#include <stdio.h>
#include <gsl/gsl_errno.h>
#include <gsl/gsl_matrix.h>
#include <gsl/gsl_odeiv2.h>

int func (double t, const double y[], double f[], void *params){
  double mu = *(double *)params;
  f[0] = y[1];
  f[1] = -y[0] - mu*y[1]*(y[0]*y[0] - 1);
  return GSL_SUCCESS;
}
int jac (double t, const double y[], double *dfdy, double dfdt[], void *params){
  double mu = *(double *)params;
  gsl_matrix_view dfdy_mat
    = gsl_matrix_view_array (dfdy, 2, 2);
  gsl_matrix * m = &dfdy_mat.matrix;
  gsl_matrix_set (m, 0, 0, 0.0);
  gsl_matrix_set (m, 0, 1, 1.0);
  gsl_matrix_set (m, 1, 0, -2.0*mu*y[0]*y[1] - 1.0);
  gsl_matrix_set (m, 1, 1, -mu*(y[0]*y[0] - 1.0));
  dfdt[0] = 0.0;
  dfdt[1] = 0.0;
  return GSL_SUCCESS;
}

int main (void)
{
  double mu = 10;
  gsl_odeiv2_system sys = {func, jac, 2, &mu};
  gsl_odeiv2_driver * d =  gsl_odeiv2_driver_alloc_y_new (&sys, gsl_odeiv2_step_rk8pd, 
						  1e-6, 1e-6, 0.0);
  int i;
  double t = 0.0, t1 = 100.0;
  double y[2] = { 1.0, 0.0 };  
  for (i = 1; i <= 100; i++)
    {
      double ti = i * t1 / 100.0;
      int status = gsl_odeiv2_driver_apply (d, &t, ti, y);
      
      if (status != GSL_SUCCESS)
     	{
     	  printf ("error, return value=%d\n", status);
     	  break;
     	}
      
      printf ("%.5e %.5e %.5e\n", t, y[0], y[1]);
    }
  
  gsl_odeiv2_driver_free (d);
  return 0;
}