\(\newcommand{\W}[1]{ \; #1 \; }\) \(\newcommand{\R}[1]{ {\rm #1} }\) \(\newcommand{\B}[1]{ {\bf #1} }\) \(\newcommand{\D}[2]{ \frac{\partial #1}{\partial #2} }\) \(\newcommand{\DD}[3]{ \frac{\partial^2 #1}{\partial #2 \partial #3} }\) \(\newcommand{\Dpow}[2]{ \frac{\partial^{#1}}{\partial {#2}^{#1}} }\) \(\newcommand{\dpow}[2]{ \frac{ {\rm d}^{#1}}{{\rm d}\, {#2}^{#1}} }\)

poly.cpp

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Polynomial Evaluation: Example and Test

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

bool poly(void)
{   bool ok = true;

    // degree of the polynomial
    size_t deg = 3;

    // set the polynomial coefficients
    CPPAD_TESTVECTOR(double)   a(deg + 1);
    size_t i;
    for(i = 0; i <= deg; i++)
        a[i] = 1.;

    // evaluate this polynomial
    size_t k = 0;
    double z = 2.;
    double p = CppAD::Poly(k, a, z);
    ok      &= (p == 1. + z + z*z + z*z*z);

    // evaluate derivative
    k = 1;
    p = CppAD::Poly(k, a, z);
    ok &= (p == 1 + 2.*z + 3.*z*z);

    return ok;
}