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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