# include <cppad/speed/ode_evaluate.hpp>
# include <cppad/speed/uniform_01.hpp>
# include <cppad/cppad.hpp>

bool ode_evaluate(void)
{     using CppAD::NearEqual;
     using CppAD::AD;

     bool ok = true;

     size_t n = 3;
     CppAD::vector<double>       x(n);
     CppAD::vector<double>       ym(n * n);
     CppAD::vector< AD<double> > X(n);
     CppAD::vector< AD<double> > Ym(n);

     // choose x
     size_t j;
     for(j = 0; j < n; j++)
     {     x[j] = double(j + 1);
          X[j] = x[j];
     }

     // declare independent variables
     Independent(X);

     // evaluate function
     size_t m = 0;
     CppAD::ode_evaluate(X, m, Ym);

     // evaluate derivative
     m = 1;
     CppAD::ode_evaluate(x, m, ym);

     // use AD to evaluate derivative
     CppAD::ADFun<double>   F(X, Ym);
     CppAD::vector<double>  dy(n * n);
     dy = F.Jacobian(x);

     size_t k;
     for(k = 0; k < n * n; k++)
          ok &= NearEqual(ym[k], dy[k] , 1e-7, 1e-7);

     return ok;
}