%\iffalse meta-comment
%Copyright (c) 2019 Matthew Scroggs & Adam Townsend
%
%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.
%\fi
%\lstinline{realhats} is a package for \LaTeX{} that makes the \lstinline{\hat} command
%put real hats on symbols.
%For example, the input \lstinline@\hat{a}=\hat{b}@ will produce the output:
%\[\hat{a}=\hat{b}\]
%To make a vector with a hat, the input \lstinline@\hat{\mathbf{a}}@ produces:
%\[\hat{\mathbf{a}}\]
%
%The command \lstinline{\hat} will choose a hat randomly from eighteen hats:
%\begin{center}
%\begin{tabular}{cp{4cm}cl}
%\(\hatn{a}{beret}\) & beret &
%\(\hatn{a}{santa}\) & Santa hat \\
%\(\hatn{a}{sombrero}\) & sombrero &
%\(\hatn{a}{witch}\)& witch's hat \\
%\(\hatn{a}{tophat}\) & top hat &
%\(\hatn{a}{ash}\) & Ash's hat \\
%\(\hatn{a}{fez}\) & fez &
%\(\hatn{a}{cowboy}\) & cowboy hat \\
%\(\hatn{a}{crown}\) & crown &
%\(\hatn{a}{dunce}\) & dunce's cap \\
%\(\hatn{a}{policeman}\) & policeman's hat \qquad&
%\(\hatn{a}{scottish}\) & Scottish hat \\
%\(\hatn{a}{birthday}\) & birthday hat & 
%\(\hatn{a}{mortarboard}\) & mortarboard \\
%\(\hatn{a}{tile-white}\) & aperiodic tile (white) &
%\(\hatn{a}{tile-gray}\) & aperiodic tile (gray)\\
%\(\hatn{a}{tile-light-blue}\) & aperiodic tile (light blue) &
%\(\hatn{a}{tile-blue}\) & aperiodic tile (blue)
%\end{tabular}
%\end{center}
%
%Variables can be given a non-random hat, using the command \lstinline{\hat} with an optional parameter:
%\begin{center}
%\begin{tabular}{lp{2cm}ll}
% \textbf{command} & \textbf{produces} & % \textbf{command} & \textbf{produces} \\
% \lstinline@\hat[beret]{a}@ & \(\hat[beret]{a}\) &
% \lstinline@\hat[santa]{a}@ & \(\hat[santa]{a}\) \\
% \lstinline@\hat[sombrero]{a}@ & \(\hat[sombrero]{a}\) &
% \lstinline@\hat[witch]{a}@ & \(\hat[witch]{a}\) \\
% \lstinline@\hat[tophat]{a}@ & \(\hat[tophat]{a}\) &
% \lstinline@\hat[ash]{a}@ & \(\hat[ash]{a}\) \\
% \lstinline@\hat[fez]{a}@ & \(\hat[fez]{a}\) &
% \lstinline@\hat[cowboy]{a}@ & \(\hat[cowboy]{a}\) \\
% \lstinline@\hat[crown]{a}@ & \(\hat[crown]{a}\) &
% \lstinline@\hat[dunce]{a}@ & \(\hat[dunce]{a}\) \\
% \lstinline@\hat[policeman]{a}@ & \(\hat[policeman]{a}\) &
% \lstinline@\hat[scottish]{a}@ & \(\hat[scottish]{a}\) \\
% \lstinline@\hat[birthday]{a}@ & \(\hat[birthday]{a}\) &
% \lstinline@\hat[mortarboard]{a}@ & \(\hat[mortarboard]{a}\) \\
% \lstinline@\hat[tile-white]{a}@ & \(\hat[tile-white]{a}\) &
% \lstinline@\hat[tile-gray]{a}@ & \(\hat[tile-gray]{a}\) \\
% \lstinline@\hat[tile-light-blue]{a}@ & \(\hat[tile-light-blue]{a}\) &
% \lstinline@\hat[tile-blue]{a}@ & \(\hat[tile-blue]{a}\)
%\end{tabular}
%\end{center}
%
%You can also pass these same options when loading the package.
%For example, \verb@\usepackage[cowboy]{realhats}@ will cause the package to use cowboy hats
%everywhere (unless a different hat is given to the \verb@\hat@ command).
%\iffalse
%<*documentation>
\documentclass{article}
\usepackage{realhats}
\usepackage{doc}
\usepackage{listings}
\lstset{basicstyle=\ttfamily\footnotesize,commentstyle=\color{white},language=TeX}
\title{realhats v\input{VERSION}}
\author{Matthew W.~Scroggs \& Adam K.~Townsend}
\setlength\parindent{0pt}
\begin{document}
\maketitle
    \DocInput{realhats.dtx}
\end{document}
%</documentation>
%\fi

%\iffalse
%<*realhats>
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{realhats}[2022/06/13 realhats 6.0]

\RequirePackage{amsmath}
\RequirePackage{graphicx}
\RequirePackage{ifthen}
\RequirePackage[first=0, last=14, counter=hat]{lcg}
\RequirePackage{calc}
\RequirePackage{stackengine}

\newcommand\myhat{}
\newlength{\hatwidth} %hat width
\newlength{\hshif} %horizontal shift
\newlength{\vshif} %vertical shift

\global\def\hatused{-1}
\DeclareOption{beret}{\global\def\hatused{beret}}
\DeclareOption{santa}{\global\def\hatused{santa}}
\DeclareOption{sombrero}{\global\def\hatused{sombrero}}
\DeclareOption{witch}{\global\def\hatused{witch}}
\DeclareOption{tophat}{\global\def\hatused{tophat}}
\DeclareOption{ash}{\global\def\hatused{ash}}
\DeclareOption{fez}{\global\def\hatused{fez}}
\DeclareOption{cowboy}{\global\def\hatused{cowboy}}
\DeclareOption{crown}{\global\def\hatused{crown}}
\DeclareOption{dunce}{\global\def\hatused{dunce}}
\DeclareOption{policeman}{\global\def\hatused{policeman}}
\DeclareOption{scottish}{\global\def\hatused{scottish}}
\DeclareOption{birthday}{\global\def\hatused{birthday}}
\DeclareOption{mortarboard}{\global\def\hatused{mortarboard}}
\DeclareOption{tile-white}{\global\def\hatused{tile-white}}
\DeclareOption{tile-gray}{\global\def\hatused{tile-gray}}
\DeclareOption{tile-light-blue}{\global\def\hatused{tile-light-blue}}
\DeclareOption{tile-blue}{\global\def\hatused{tile-blue}}
\ProcessOptions\relax

\newcommand{\gethat}{%
    \ifcase\thehat beret%
        \or santa%
        \or sombrero%
        \or witch%
        \or tophat%
        \or ash%
        \or fez%
        \or cowboy%
        \or crown%
        \or dunce%
        \or policeman%
        \or scottish%
        \or birthday%
        \or mortarboard%
        \or tile-white%
        \or tile-gray%
        \or tile-light-blue%
        \or tile-blue%
    \fi
}

\renewcommand{\hat}[2][]{%
    \ifthenelse{\equal{#1}{}}{%
        \ifthenelse{\equal{\hatused}{-1}}%
        {\rand\hatn{#2}{\gethat}}%
        {\hatn{#2}{\hatused}}%
    }{%
        \ifthenelse{\equal{#1}{beret}}{\hatn{#2}{beret}}{}%
        \ifthenelse{\equal{#1}{santa}}{\hatn{#2}{santa}}{}%
        \ifthenelse{\equal{#1}{sombrero}}{\hatn{#2}{sombrero}}{}%
        \ifthenelse{\equal{#1}{witch}}{\hatn{#2}{witch}}{}%
        \ifthenelse{\equal{#1}{tophat}}{\hatn{#2}{tophat}}{}%
        \ifthenelse{\equal{#1}{ash}}{\hatn{#2}{ash}}{}%
        \ifthenelse{\equal{#1}{fez}}{\hatn{#2}{fez}}{}%
        \ifthenelse{\equal{#1}{cowboy}}{\hatn{#2}{cowboy}}{}%
        \ifthenelse{\equal{#1}{crown}}{\hatn{#2}{crown}}{}%
        \ifthenelse{\equal{#1}{dunce}}{\hatn{#2}{dunce}}{}%
        \ifthenelse{\equal{#1}{policeman}}{\hatn{#2}{policeman}}{}%
        \ifthenelse{\equal{#1}{scottish}}{\hatn{#2}{scottish}}{}%
        \ifthenelse{\equal{#1}{birthday}}{\hatn{#2}{birthday}}{}%
        \ifthenelse{\equal{#1}{mortarboard}}{\hatn{#2}{mortarboard}}{}%
        \ifthenelse{\equal{#1}{tile-white}}{\hatn{#2}{tile-white}}{}%
        \ifthenelse{\equal{#1}{tile-gray}}{\hatn{#2}{tile-gray}}{}%
        \ifthenelse{\equal{#1}{tile-light-blue}}{\hatn{#2}{tile-light-blue}}{}%
        \ifthenelse{\equal{#1}{tile-blue}}{\hatn{#2}{tile-blue}}{}%
    }%
}

\newcommand{\hatn}[2]{\hatnoptions{#1}{#2}{0ex}{0ex}}

\newcommand{\hatnoptions}[4]{%
\setlength{\hshif}{1pt}
\setlength{\hatwidth}{2ex}
\ifthenelse{\equal{#2}{beret}}{\renewcommand\myhat{hats/realhats-beret}\setlength{\vshif}{-0.6ex} \setlength{\hshif}{0.5ex} }{}%
\ifthenelse{\equal{#2}{santa}}{\renewcommand\myhat{hats/realhats-santa}\setlength{\vshif}{-0.1ex} }{}%
\ifthenelse{\equal{#2}{sombrero}}{\renewcommand\myhat{hats/realhats-sombrero}\setlength{\vshif}{-0.17ex} \addtolength{\hshif}{-1pt}}{}%
\ifthenelse{\equal{#2}{witch}}{\renewcommand\myhat{hats/realhats-witch}\setlength{\vshif}{-0.12ex} \addtolength{\hshif}{-1pt}}{}%
\ifthenelse{\equal{#2}{tophat}}{\renewcommand\myhat{hats/realhats-tophat}\setlength{\vshif}{-0.4ex} \setlength{\hatwidth}{1.8ex} \addtolength{\hshif}{-1pt}}{}%
\ifthenelse{\equal{#2}{ash}}{\renewcommand\myhat{hats/realhats-ash}\setlength{\vshif}{-0.6ex} \setlength{\hatwidth}{1.8ex} \addtolength{\hshif}{-1pt}}{}%
\ifthenelse{\equal{#2}{fez}}{\renewcommand\myhat{hats/realhats-fez}\setlength{\vshif}{-0.4ex} \setlength{\hatwidth}{1ex} \addtolength{\hshif}{-1pt}}{}%
\ifthenelse{\equal{#2}{cowboy}}{\renewcommand\myhat{hats/realhats-cowboy}\setlength{\vshif}{-0.3ex} \setlength{\hshif}{0.2ex}}{}%
\ifthenelse{\equal{#2}{crown}}{\renewcommand\myhat{hats/realhats-crown}\setlength{\vshif}{-0.3ex} \setlength{\hshif}{0.2ex}}{}%
\ifthenelse{\equal{#2}{dunce}}{\renewcommand\myhat{hats/realhats-dunce}\setlength{\vshif}{-0.3ex} \setlength{\hatwidth}{1.4ex}}{}%
\ifthenelse{\equal{#2}{policeman}}{\renewcommand\myhat{hats/realhats-policeman}\setlength{\vshif}{-0.4ex} \setlength{\hatwidth}{1.8ex} \addtolength{\hshif}{-1pt}}{}%
\ifthenelse{\equal{#2}{scottish}}{\renewcommand\myhat{hats/realhats-scottish}\setlength{\vshif}{-0.6ex} \setlength{\hshif}{0.5ex} }{}%
\ifthenelse{\equal{#2}{birthday}}{\renewcommand\myhat{hats/realhats-birthday}\setlength{\vshif}{-0.2ex} \setlength{\hshif}{-0.1ex} }{}%
\ifthenelse{\equal{#2}{mortarboard}}{\renewcommand\myhat{hats/realhats-mortarboard}\setlength{\vshif}{-0.15ex} \setlength{\hshif}{0ex} }{}%
\ifthenelse{\equal{#2}{tile-white}}{\renewcommand\myhat{hats/realhats-tile-white}\setlength{\vshif}{-0.3ex} \setlength{\hshif}{0ex} }{}%
\ifthenelse{\equal{#2}{tile-gray}}{\renewcommand\myhat{hats/realhats-tile-gray}\setlength{\vshif}{-0.3ex} \setlength{\hshif}{0ex} }{}%
\ifthenelse{\equal{#2}{tile-light-blue}}{\renewcommand\myhat{hats/realhats-tile-light-blue}\setlength{\vshif}{-0.3ex} \setlength{\hshif}{0ex} }{}%
\ifthenelse{\equal{#2}{tile-blue}}{\renewcommand\myhat{hats/realhats-tile-blue}\setlength{\vshif}{-0.3ex} \setlength{\hshif}{0ex} }{}%
\ifthenelse{\equal{#2}{,1}}{\renewcommand\myhat{hats/realhats-,1}\setlength{\vshif}{-0.15ex} \setlength{\hshif}{0ex} }{}%
\addtolength{\hshif}{#3}%
\addtolength{\vshif}{#4}%
\stackMath %
\stackon[\vshif]{#1}{\hspace{\hshif}\includegraphics[width=\hatwidth]{\myhat}}
}
%</realhats>
%\fi