Polynomial Evaluation: Example and Test

poly.cpp

Headings

@(@\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}} }@)@ 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;
}

Input File: example/general/poly.cpp