// Complex examples should supppress conversion warnings
# include <cppad/wno_conversion.hpp>

# include <cppad/cppad.hpp>
# include <complex>

bool complex_poly(void)
{     bool ok    = true;
     size_t deg = 4;

     using CppAD::AD;
     using CppAD::Poly;
     typedef std::complex<double> Complex;

     // polynomial coefficients
     CPPAD_TESTVECTOR( Complex )   a   (deg + 1); // coefficients for p(z)
     CPPAD_TESTVECTOR(AD<Complex>) A   (deg + 1);
     size_t i;
     for(i = 0; i <= deg; i++)
          A[i] = a[i] = Complex(double(i), double(i));

     // independent variable vector
     CPPAD_TESTVECTOR(AD<Complex>) Z(1);
     Complex z = Complex(1., 2.);
     Z[0]      = z;
     Independent(Z);

     // dependent variable vector and indices
     CPPAD_TESTVECTOR(AD<Complex>) P(1);

     // dependent variable values
     P[0] = Poly(0, A, Z[0]);

     // create f: Z -> P and vectors used for derivative calculations
     CppAD::ADFun<Complex> f(Z, P);
     CPPAD_TESTVECTOR(Complex) v( f.Domain() );
     CPPAD_TESTVECTOR(Complex) w( f.Range() );

     // check first derivative w.r.t z
     v[0]      = 1.;
     w         = f.Forward(1, v);
     Complex p = Poly(1, a, z);
     ok &= ( w[0]  == p );

     // second derivative w.r.t z is 2 times its second order Taylor coeff
     v[0] = 0.;
     w    = f.Forward(2, v);
     p    = Poly(2, a, z);
     ok &= ( 2. * w[0]  == p );

     return ok;
}