exp_2: Implementation

exp_2.hpp

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}} }@)@ exp_2: Implementation

template <class Type>
Type exp_2(const Type &x)
{       Type v1  = x;                // v1 = x
        Type v2  = Type(1) + v1;     // v2 = 1 + x
        Type v3  = v1 * v1;          // v3 = x^2
        Type v4  = v3 / Type(2);     // v4 = x^2 / 2
        Type v5  = v2 + v4;          // v5 = 1 + x + x^2 / 2
        return v5;                   // exp_2(x) = 1 + x + x^2 / 2
}

Input File: introduction/exp_2.omh