Complex Polynomial: Example and Test
Keywords: complex polynomial: example test polynomial poly

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Complex Polynomial: Example and Test
Poly
Select this link to view specifications for Poly : `

    # 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(i, 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;
    }

`

Input File: example/complex_poly.cpp