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

exp_2.cpp

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exp_2: Test

# include <cmath>           // define fabs function
# include "exp_2.hpp"       // definition of exp_2 algorithm
bool exp_2(void)
{   double x     = .5;
    double check = 1 + x + x * x / 2.;
    bool   ok    = std::fabs( exp_2(x) - check ) <= 1e-10;
    return ok;
}