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+%!TEX program = lualatex
+
+% Copyright (c) 2021 Thomas Jenni
+
+% Permission is hereby granted, free of charge, to any person obtaining a copy
+% of this software and associated documentation files (the "Software"), to deal
+% in the Software without restriction, including without limitation the rights
+% to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+% copies of the Software, and to permit persons to whom the Software is
+% furnished to do so, subject to the following conditions:
+
+% The above copyright notice and this permission notice shall be included in all
+% copies or substantial portions of the Software.
+
+% THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+% IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+% FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+% AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+% LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+% OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+% SOFTWARE.
+
+\documentclass{article}
+
+\usepackage{luacode}
+\usepackage{siunitx}
+\usepackage{amsmath}
+
+% siunitx config
+\sisetup{
+ output-decimal-marker = {.},
+ per-mode = symbol,
+ separate-uncertainty = false,
+ add-decimal-zero = true,
+ exponent-product = \cdot,
+ round-mode=off
+}
+
+% empty unit
+\DeclareSIUnit\unitless{}
+
+\DeclareSIUnit\inch{in}
+
+% init lua-physical
+\begin{luacode}
+physical = require("physical")
+N = physical.Number
+\end{luacode}
+
+
+\newcommand{\q}[1]{%
+ \directlua{tex.print(physical.Quantity.tosiunitx(#1,"add-decimal-zero=true,scientific-notation=fixed,exponent-to-prefix=false"))}%
+}
+
+\newcommand{\qs}[1]{%
+ \directlua{tex.print(physical.Quantity.tosiunitx(#1,"scientific-notation=true,exponent-to-prefix=false,round-integer-to-decimal=true"))}%
+}
+
+\newcommand{\qt}[1]{%
+ \directlua{tex.print(physical.Quantity.tosiunitx(#1,"scientific-notation=engineering,exponent-to-prefix=true,round-integer-to-decimal=true"))}%
+}
+
+\newcommand{\qn}[1]{%
+ \directlua{tex.print(physical.Quantity.tosiunitx(#1,"add-decimal-zero=true,scientific-notation=fixed,exponent-to-prefix=false",1))}%
+}
+
+\newcommand{\qu}[1]{%
+ \directlua{tex.print(physical.Quantity.tosiunitx(#1,nil,2))}%
+}
+
+
+
+
+
+\begin{document}
+
+\section*{Example for the {\tt lua-physical} package}.
+
+Compile this Lua\LaTeX file with the command `{\tt lualatex lua-physical\_example.tex}'.
+
+
+
+\begin{enumerate}
+
+\begin{luacode}
+a = 12 * _cm
+b = 150 * _mm
+c = 1.5 * _m
+
+V = ( a * b * c ):to(_dm^3)
+\end{luacode}
+
+\item Find the volume of a cuboid with lengths $\q{a}$,
+$\q{b}$ and $\q{c}$.
+%
+\begin{equation*}
+ V= a \cdot b \cdot c
+ = \q{a} \cdot \q{b} \cdot \q{c}
+ = \underline{\q{V}}
+\end{equation*}
+
+
+
+
+
+\begin{luacode}
+l = 12 * _in
+\end{luacode}
+
+\item Convert $\q{l}$ to the unit $\qu{_cm}$.
+%
+\begin{equation*}
+ l = \q{l} \cdot \frac{\q{_in:to(_cm)}}{\qu{_in}} = \q{l:to(_cm)}
+\end{equation*}
+
+
+
+
+
+\begin{luacode}
+N.omitUncertainty = true
+
+d = N(1,0.0001) * ( _au ):to(_km)
+v = N(1,0.0001) * ( _c ):to(_km/_s)
+t = ( d/v ):to(_min)
+\end{luacode}
+
+\item Calculate the time, a lightray travels from the surface of the sun to the earth.
+The mean distance from the sun to the eart is $\qs{d}$. The speed of light is $\q{v}$.
+%
+\begin{equation*}
+ t = \frac{d}{v} = \frac{\qs{d}}{\q{v}} = \underline{\q{t}}
+\end{equation*}
+
+\end{enumerate}
+
+
+\end{document}