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ode_evaluate: Example and test

# 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);
     CppAD::vector< AD<double> > X(n);
     CppAD::vector< AD<double> > Ym(1);

     // 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);
     dy = F.Jacobian(x);

     for(j = 0; j < n; j++)
          ok &= NearEqual(ym[j], dy[j] , 1e-10, 1e-10);
 
     return ok;
}

Input File: speed/example/ode_evaluate.cpp