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authorKarl Berry <karl@freefriends.org>2017-01-06 22:29:25 +0000
committerKarl Berry <karl@freefriends.org>2017-01-06 22:29:25 +0000
commit665ec9eb9d87958da1695fe8ddb2b0c41b4f1903 (patch)
tree1aad5bf5a4ab276f18127b59ee0186ad6f54f39e /Master/texmf-dist/source/latex/halloweenmath/halloweenmath.dtx
parentfe2fda0f24dd3e0225ebda67b04463f79f6f09bb (diff)
halloweenmath (6jan17)
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+% \iffalse
+% (This is a META-COMMENT.)
+%
+% This is file `halloweenmath.dtx'.
+%
+% This file is part of a work named "halloweenmath package".
+%
+% Copyright (C) 2017 by Gustavo MEZZETTI.
+%
+% This file may be distributed and/or modified under the conditions
+% of the LaTeX Project Public License, either version 1.3 of this
+% license or (at your option) any later version.
+% The latest version of this license is in
+% http://www.latex-project.org/lppl.txt
+% and version 1.3 or later is part of all distributions of LaTeX
+% version 2005/12/01 or later.
+%
+% The halloweenmath package has the LPPL maintenance status
+% "author-maintained".
+%
+% The file `manifest.txt' that comes along with this file specifies what the
+% halloweenmath package consists of; more precisely, it explains how the
+% locutions "Work" and "Compiled Work", used in the LaTeX Project Public
+% License, are to be interpreted in the case of this work.
+%
+% Note that the distribution of this file alone is "distribution of
+% only part of the Work" in the sense of the LaTeX Project Public
+% License, and should be avoided (see the LaTeX Project Public
+% Licence for details).
+%
+% (End of the META-COMMENT.)
+% \fi
+%
+% \def\filename{halloweenmath.dtx}
+% \def\fileversion{0.01}
+% \def\filedate{2017/01/06}
+% \def\docdate {2017/01/06}
+% \def\doclongdate{January~6, 2017}
+%
+% ^^A \CheckSum{13}
+%
+% \changes{0.01}{2017 Jan 06}{First writing of the code}
+%
+%% \CharacterTable
+%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
+%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
+%% Digits \0\1\2\3\4\5\6\7\8\9
+%% Exclamation \! Double quote \" Hash (number) \#
+%% Dollar \$ Percent \% Ampersand \&
+%% Acute accent \' Left paren \( Right paren \)
+%% Asterisk \* Plus \+ Comma \,
+%% Minus \- Point \. Solidus \/
+%% Colon \: Semicolon \; Less than \<
+%% Equals \= Greater than \> Question mark \?
+%% Commercial at \@ Left bracket \[ Backslash \\
+%% Right bracket \] Circumflex \^ Underscore \_
+%% Grave accent \` Left brace \{ Vertical bar \|
+%% Right brace \} Tilde \~}
+%
+% \MakeShortVerb{\"}
+% \DeleteShortVerb{\|}
+%
+% \DoNotIndex{\begin,\end,\def,\let,\else,\fi,\@ifdefinable,\@empty}
+% \DoNotIndex{\newcommand,\renewcommand}
+% \DoNotIndex{\newenvironment,\renewenvironment}
+% \DoNotIndex{\z@,\z@skip,\p@,\@ne,\tw@,\thr@@,\@m,\@M,\m@ne}
+% \DoNotIndex{\setlength,\setcounter,\addtolength}
+% \DoNotIndex{\expandafter,\do,\relax,\advance,\multiply,\divide}
+% \DoNotIndex{\DeclareOption,\ExecuteOptions,\ProcessOptions}
+% \DoNotIndex{\",\.,\@}
+%
+% \IndexPrologue{
+% \section{\indexname}
+% Numbers in italics refer to the page where the corresponding entry
+% is described, the ones underlined to the code line of the
+% definition, the rest to the code lines where the entry is used.
+% }
+% \setcounter{IndexColumns}{2}
+%
+% \GlossaryPrologue{\section{Change History}}
+%
+% \setcounter{StandardModuleDepth}{1}
+%
+% \setlength{\unitlength}{1cm}
+% \definecolor{guidelines}{rgb}{0,.5,1}
+% \definecolor{coverwitch}{rgb}{.1,.4,.5}
+%
+% \newcommand*{\DS}{\textsf{DocStrip}}
+% \newcommand*{\TikZ}{Ti\emph{k}Z}
+% \renewcommand*{\partname}{Part}
+% \newcommand*{\halloweenmath}{halloweenmath}
+% \newcommand*{\amsmath}{amsmath}
+% \newcommand*{\picttwoe}{pict2e}
+% \newcommand*{\textoken}[1]{\(\langle\mbox{\normalfont #1}\rangle\)}
+% \makeatletter
+% \newcommand*{\myspecialindex}[2]
+% {\special@index{#1\actualchar#2\encapchar main}}
+% \newcommand*{\param}[1]{\(\mbox{\##1}\leftarrow{}\)\>}
+% \newenvironment*{paramlist}{^^A
+% \@beginparpenalty \@M \relax
+% \setlength\topsep{\z@}^^A
+% \tabbing
+% \(\mbox{\#0}\leftarrow {\,}\)\=\kill
+% }{^^A
+% \endtabbing
+% }
+% \makeatother
+% \newcommand*{\counterindex}[1]{\myspecialindex{#1}{{\string\ttfamily
+% \space #1} (counter)}\index{counters:\levelchar{\protect\ttfamily
+% #1}\encapchar usage}}
+% \newcommand*{\optuseindex}[1]{\SortIndex{#1}{\protect\opt{#1}
+% (option)\encapchar usage}\index{options:\levelchar
+% \protect\opt{#1}\encapchar usage}}
+% \DeclareRobustCommand*{\packlass}[1]{{\normalfont\sffamily #1}}
+% \DeclareRobustCommand*{\filedir}[1]{{\normalfont\ttfamily #1}}
+% \DeclareRobustCommand*{\env}[1]{{\normalfont\ttfamily #1}}
+% \DeclareRobustCommand*{\ctr}[1]{{\normalfont\ttfamily #1}}
+% \DeclareRobustCommand*{\opt}[1]{{\normalfont\ttfamily #1}}
+% \newcommand*{\sopt}[1]{\mbox{\opt{#1}}\optuseindex{#1}}
+% \DeclareRobustCommand*{\TeXSXuser}[1]{{\normalfont\sffamily #1}}
+% \newcommand*{\cfr}{\TeXSXuser{cfr}}
+%
+% \providecommand*{\href}[3][]{#3}
+% \providecommand*{\pdfbookmark}[3][]{}
+% \providecommand*{\hypersetup}{}
+%
+% \newcommand*{\magicstar}[1]{^^A
+% \begingroup
+% \setlength\unitlength{#1\unitlength}^^A
+% \begin{picture}(0,0)^^A
+% \polygon*(0,1)(-.225,.309)(-.951,.309)(-.363,-.118)(-.588,-.809)^^A
+% (0,-.382)(.588,-.809)(.363,-.118)(.951,.309)(.225,.309)^^A
+% \end{picture}^^A
+% \endgroup
+% }
+%
+%
+%
+% \title{
+% The \packlass{\halloweenmath} package:\\
+% scary and creepy math symbols\\
+% with \texorpdfstring{\hologo{AmSLaTeX}}{AMS-LaTeX}\
+% integration\thanks{This file has
+% version~\fileversion, release date \filedate;
+% last documentation update: \docdate.
+% Copyright \copyright~2017 by G.~Mezzetti
+% (see page~\pageref{S:Copy}).}
+% }
+% \author{G. Mezzetti}
+% \date{\doclongdate}
+%
+% \hypersetup{
+% pdftitle = {The halloweenmath package:
+% scary and creepy math symbols
+% with AMS-LaTeX integration},
+% pdfauthor = {G. Mezzetti},
+% pdfsubject = {Documentation of the halloweenmath package},
+% pdfkeywords = {Halloween, math, scary mathematical symbols},
+% pdfcreationdate = {D:20170106000000},
+% pdfmoddate = {D:20170106000000},
+% bookmarksopen,
+% bookmarksopenlevel = 1
+% }
+%
+% \pdfbookmark[0]{Front Matter}{FrontMatter}
+% \maketitle
+%
+% \begin{abstract}
+% This document describes a \LaTeX\ package that originates from a question
+% asked for enjoyment on
+% \href{http://tex.stackexchange.com/}{\emph{\TeX\,-\,\LaTeX\ Stack
+% Exchange}} (see~\cite{bib:cfr}) by the user
+% \href{http://tex.stackexchange.com/users/39222/cfr}{\cfr}; this package
+% defines a handful of commands for typesetting mathematical symbols of
+% various kinds (including ``large'' operators, extensible arrow-like
+% relations, and growing arrow-like math accents) that all draw from the
+% classic Halloween-related iconography (pumpkins, witches, ghosts, cats, and
+% so on) while being, at the same time, seamlessly integrated within the rest
+% of the mathematics produced by \hologo{LaTeX}\slash\hologo{AmSLaTeX}.
+% \end{abstract}
+%
+% \vfil
+%
+% \begin{center}
+% \color{coverwitch}
+% \begin{picture}(0,8)(0,-4)
+% \roundcap
+% \linethickness{4pt}
+% \Line(-2,-2)(6,2)
+% \linethickness{2pt}
+% \Line(-2,-2)(-5,-2.5)
+% \Line(-2,-2)(-4.85,-2.95)
+% \Line(-2,-2)(-4.6,-3.3)
+% \Line(-2,-2)(-4.35,-3.65)
+% \Line(-2,-2)(-4,-4)
+% \put(-3,-1.2){\magicstar{.4}}
+% \put(-4.1,-.8){\magicstar{.8}}
+% \put(-5.4,-1.8){\magicstar{.6}}
+% \Line(0,1.8)(-.2,1.4)
+% \polyline(.6,3.2)(.8,3)(1.5,3)
+% \put(1.6,3){\oval(.2,.2)[tl]}
+% \put(1.6,3){\oval(.2,.2)[r]}
+% \polyline(1.6,2.9)(1.8,2.4)(1.2,2.4)(1,2.5)(1,2.3)
+% (1.2,2)(1.6,1.8)(1.7,1.8)(1.7,1.6)(1.4,1.5)
+% (0,1.8)(-.2,2)
+% \Line(.2,2.8)(.6,3)
+% \polygon*(-1,2)(-2,0)(-2,-1)(-1.5,-2)(1,-2)
+% (0,-3.6)(.4,-3.8)(.6,-3.4)(.8,-4)(2,-4)
+% (1,-3.6)(1,-3)(1.6,-3.2)(2,-1.5)(0,-1)
+% (0,-.6)(1.4,-.6)(1.8,-.4)(2,0)(0,0)
+% (0,1.4)
+% \polygon*(-3,2)(-2.8,3)(-2,4)(-1.5,4.1)(-1,4)(0,3.5)
+% (1,3.8)(2.5,3.5)(3,3.3)(2,3.4)(0,3)(-1,2)(-2,1.6)
+% (-2.7,2)(-2,2)(-1,3)(-2,3.5)(-2.6,3)
+% \linethickness{.4pt}
+% \Line(1.7,1.6)(2,1.6)
+% \Line(1.7,1.6)(1.9,1.4)
+% \Line(1.7,1.6)(1.7,1.3)
+% ^^A
+% ^^A The cat:
+% \put(3.6,1){\circle*{1.2}}
+% \put(4.2,1.4){\circle*{1}}
+% \put(4.5,2){\circle*{.8}}
+% \polygon*(4.1,2)(4.1,2.5)(4.5,2.2)(4.9,2.5)(4.9,2)
+% \linethickness{4pt}
+% \cbezier(3.2,.6)(2,0)(4.2,-.4)(3,-1)
+% \buttcap
+% \linethickness{.4pt}
+% \Line(3.8,2.1)(5.2,1.9)
+% \Line(3.8,2)(5.2,2)
+% \Line(3.8,1.9)(5.2,2.1)
+% \end{picture}
+% \end{center}
+%
+% \newpage
+% \tableofcontents
+% \listoffigures
+%
+% \newpage
+% \begingroup
+%
+% \setlength{\parskip}{\medskipamount}
+% \setlength{\parindent}{0pt}
+%
+% \section*{Copyright notice}
+% \label{S:Copy}
+% \vspace{-\parskip}
+%
+% Copyright \copyright~2017 by Gustavo \textsc{Mezzetti}.
+% All rights are reserved, except as noted below.
+%
+% This document has been produced by feeding to a \LaTeX\ typesetting engine
+% the file \filedir{\filename} version \fileversion\ (\docdate). This file
+% is part of a work named ``\packlass{\halloweenmath} package'', and may be
+% distributed and/or modified only as a part thereof.
+% Subsection~\ref{sS:License} on page~\pageref{sS:License} explains the
+% conditions under which the \packlass{\halloweenmath} package may be
+% distributed and/or modified.
+%
+% The \packlass{\halloweenmath} package has the following LPPL maintenance
+% status:\\
+% ``author-maintained''.
+%
+% Permission is granted to make new printed copies of this document, by any
+% means (\emph{e.g.}, photocopying, direct printing from the electronic
+% version, and so on).
+%
+% Note, though, that distribution of this document alone is ``distribution of
+% only part of the Work'' in the sense of the \LaTeX\ Project Public License,
+% and should therefore be avoided: please distribute, in addition, the source
+% file \filedir{\halloweenmath.dtx} together with all other files listed in
+% \filedir{manifest.txt}, as explained as well in Subsection~\ref{sS:License}
+% and in the file \filedir{manifest.txt} itself.
+%
+% \section*{Author's addresses}
+% \label{S:MyAddresses}
+% \vspace{-\parskip}
+%
+% The recommended way to contact the author is by e-mail; his address is:
+%
+% \begin{list}{\setlength{\topsep}{0pt}}\item\relax
+% gustavo dot mezzetti at istruzione dot it
+% \end{list}
+%
+% Please include the \emph{exact} phrase \verb*|halloweenmath package| in the
+% \emph{subject} of your message; otherwise, your message could be
+% thrown away by a mail filter. In this regard, the weakness of the
+% laws concerning the protection of privacy forces me to explicitly
+% forbid the use of the above address for any kind of advertising,
+% marketing, polling, or similar commercial or statistical contact.
+%
+% If you have no e-mail access, write to:
+%
+% \begin{list}{\setlength{\topsep}{0pt}}\item\relax
+% Gustavo \textsc{Mezzetti}\\
+% L.~S.~U. ``A.~di Savoia Duca degli Abruzzi''\\
+% Via del Santo, 57\\
+% I--35123\quad PADOVA\quad PD\\
+% Italy
+% \end{list}
+%
+% \endgroup
+%
+%
+%
+% \setcounter{secnumdepth}{0}
+%
+%
+%
+% \clearpage
+% \section{Introduction}
+%
+% On October~31, 2016, around 3 in the morning (GMT\@), user
+% \href{http://tex.stackexchange.com/users/39222/cfr}{\cfr} asked a
+% question~\cite{bib:cfr} on the
+% \href{http://tex.stackexchange.com/}{\emph{\TeX\,-\,\LaTeX\ Stack Exchange}
+% network}, challenging other users to contribute \LaTeX\ documents that
+% showcased ``the spookiest, creepiest images'' ever possible. I~was aware
+% of a method---well known, nonetheless---to integrate arbitrary pictures
+% into math formulas as though they were mathematical symbols, so, on the
+% pretext ``that, since \hologo{(La)TeX} is a language primarily designed to
+% handle text with math, the lack of a `math-flavored'
+% answer~\ldots\linebreak[0]\,was a gap that ought to be filled'', I~wrote an
+% answer implementing a command that drew a (not particularly spooky or
+% creepy) little witch astride of her broom, but with the silly distinctive
+% feature of being seen by \LaTeX\ as a mathematical ``large'' operator like
+% "\sum", "\prod", "\int", or "\bigcup"; this first command was named
+% "\mathwitch" and was ``intended for denoting the operation of applying
+% black magic to the ensuing subformula''.
+%
+% I~subsequently added an extensible math accent similar to
+% "\overrightarrow", but with the arrow replaced by a broom carrying the same
+% witch and a black cat, and my answer ended up winning the contest (the
+% presence of the cat turned out to be a decisive factor); besides, some
+% users were so enthusiast of the new commands that they requested that they
+% were re-implemented as a new, stand-alone package. And here it is.
+%
+% In the writing of the package, more features, and creatures, have been
+% added. Also available now are:
+% \begin{itemize}
+% \item
+% ghosts, both still and hovering (or, if you prefer, acting both as ordinary
+% symbols and as math accents similar to "\overrightarrow");
+% \item
+% a "\pumpkin" binary operator, with an associated ``large'' operator named
+% "\bigpumpkin"\footnote{\cs{greatpumpkin} is available as a synonym, in
+% homage to Linus van Pelt.} (cf.~"\cup" vs.\ "\bigcup", "\cap" vs.\
+% "\bigcap", "\vee" vs.\ "\bigvee", "\oplus" vs.\ "\bigoplus",\,\ldots);
+% \item
+% extensible ``arrow-like'' brooms that act as relation symbols;
+% \item
+% clouds, for denoting unscrutable subformulas (this one is even sensible!);
+% \item
+% and still more.
+% \end{itemize}
+% All the above are available for the \texttt{bold} math version as well as
+% for the \texttt{normal} one.
+% The symbols provided should prove sufficient for preparing lecture notes,
+% slides, tests, or even exams to amuse~(?\@) your students with during the
+% Halloween period. Of course, any suggestion for additions and/or
+% improvements are most welcome: you can find my addresses on
+% page~\pageref{S:MyAddresses}.
+%
+% As for the name of this new package, \cfr\ initially
+% \href{http://tex.stackexchange.com/questions/336768/seasonal-challenge-contributions-from-texing-dead-welcome#comment828307_337719}{proposed}
+% \packlass{mathwitch} (from the name of the main command);
+% \href{http://tex.stackexchange.com/users/81905/guilherme-zanotelli}{\TeXSXuser{Guilherme
+% Zanotelli}} then
+% \href{http://tex.stackexchange.com/questions/336768/seasonal-challenge-contributions-from-texing-dead-welcome#comment828796_337719}{suggested}
+% \packlass{mathemagics} (a truly befitting pun!); but in the end I~decided
+% to choose \packlass{\halloweenmath} because (1)~it instantly and clearly
+% communicates the context in which the package arose, as well as the purpose
+% for which it was written, and (2)~it is 13~characters long.
+%
+% This work is dedicated to \cfr, without whom it would have never seen the
+% light, and to whom I~am offering it ``as an Epiphany present''---or rather,
+% as one would say in Italian, ``\emph{come regalo per la Befana}'', where
+% the last word bears not-so-subtle connections with the world of
+% witches\ldots
+%
+% \subsection{Disclaimer}
+%
+% Although a \LaTeX\ package is a piece of software that executes in a
+% rather protected environment and should therefore be relatively
+% incapable of doing serious damages, no warranty is given, as usual with
+% computer software, that this code will work properly, or even that it
+% will work at all. To be on the safe side, be aware that using this
+% code can even result in loss of data and/or damages to your disks and
+% your storage media. If you use this code, you do so exclusively at
+% your own risk!
+%
+% See Subsection~\ref{sS:License} and the \LaTeX\ Project Public
+% Licence for more information.
+%
+% \subsection{About this document}
+%
+% This document, like many documentation files distributed for \LaTeX, is
+% divided into two parts.
+%
+% The first part, \emph{User's Manual}, contains all the documentation you
+% need to be able to \emph{use} the \packlass{\halloweenmath} package. Every
+% user of this package will probably want to read this part.
+%
+% The second part, \emph{Implementation}, can be omitted if you
+% want (explanations on how to omit it are given at the beginning
+% of the part itself), and contains information that concerns only
+% ``hackers'' who want to learn how the package that this document
+% presents is \emph{implemented}. Actually, this part contains the
+% complete listing of the \LaTeX\ code that implements the macros,
+% in the usual \DS\ format; if you are not a \LaTeX\ hacker, this
+% part will probably have little meaning to you.
+%
+% As I~said above, this package is an Epiphany gift for \TeXSXuser{cfr}, and,
+% for this reason, I~want to submit it to CTAN\@ on January~6, 2017.
+% Regrettably, I~couldn't write most of the comments in the
+% \emph{Implemenation} part in time for the submission, which, on the other
+% hand, I~don't want to defer to a later date for any reason whatsoever.
+% Some sparse comments, nonetheless, are sprinkled throughout the code at
+% certain key places, and I~hope they will suffice to understand what's going
+% on. I~apologize for submitting this work in an incomplete form;
+% unfortunately, at present I~cannot even foresee when I'll be able to finish
+% it.
+%
+%
+%
+% \setcounter{secnumdepth}{3}
+%
+%
+%
+% \clearpage
+% \part{User's Manual}
+%
+% \section{About this part}
+%
+% This part tells you how to use the \packlass{\halloweenmath} package. It
+% also contains detailed instructions on how to install it and how to
+% generate this same documentation, but normally you need not bother reading
+% this information, either because your \TeX\ distribution already includes
+% both the package code and its documentation, or because package
+% installation is implicitly dealt with by the automatic update mechanism
+% provided by the distribution itself.
+%
+% \section{How to use the \packlass{\halloweenmath} package}
+% \label{S:Usage}
+%
+% This section explains everything you need to know in order to be able to
+% use the \packlass{\halloweenmath} package. However, to keep this document
+% independent of the package itself, the output produced by the various
+% commands is not shown here: for this, you are referred to \cite{bib:manual}
+% and to~\cite{bib:sample}.
+%
+% \subsection{Package loading}
+%
+% The usual "\usepackage" declaration is used, as in
+% \begin{verbatim}\usepackage{halloweenmath}\end{verbatim} It should be
+% noted, however, that the \packlass{\halloweenmath} package requires the
+% \packlass{\amsmath} package, and loads it (without specifying any option)
+% if it is not already loaded. If you want to pass options to
+% \packlass{\amsmath}, load it before \packlass{\halloweenmath}.
+%
+% The \packlass{\halloweenmath} package defines no options by itself;
+% nevertheless, it does honor the [\opt{no}]\opt{sumlimits} options from the
+% \packlass{\amsmath} package (see below).
+%
+% \subsection{Scary symbols}
+%
+% This package defines some commands \emph{for use in mathematical mode},
+% which provide a handful of symbols, all of which honor the \texttt{bold}
+% math version, when in force. They can be loosely grouped as follows.
+%
+% \subsubsection{Pumpkins}
+%
+% \DescribeMacro{\pumpkin}
+% \DescribeMacro{\bigpumpkin}
+% \DescribeMacro{\greatpumpkin}
+% It is even too obvious to begin with pumpinks. In this regard, the package
+% provides two interrelated commands:
+% \begin{itemize}
+% \item
+% "\pumpkin" yields a binary operator symbol in the shape of a (little)
+% pumpkin;
+% \item
+% "\bigpumpkin" is the ``large'' operator that is to "\pumpkin" as
+% "\bigoplus" is to "\oplus"; it typesets a somewhat bigger pumpkin in
+% in-line formulas, which becomes significantly larger in displayed formulas.
+% \end{itemize}
+% The [\opt{no}]\opt{sumlimits} options from the \packlass{\amsmath} package
+% also affect the "\bigpumpkin" command. As a homage to Linus van Pelt,
+% "\greatpumpkin" is available as a perfect synonym for "\bigpumpkin".
+%
+% \subsubsection{Witches, brooms, and black cats}
+%
+% All this arose from a witch.
+%
+% \DescribeMacro{\mathwitch} \DescribeMacro{\reversemathwich}
+% The "\mathwitch" command yields a ``large'' operator symbol, similar to
+% "\sum", representing a witch astride of a broom (in my answers
+% to~\cite{bib:cfr}, I~claimed that this symbol denotes the operation of
+% applying black magic to the ensuing subformula, a fundamental operation in
+% so many mathematical proofs\ldots). There is also a "\reversemathwich"
+% command, which produces an operator that looks like a mirror image of the
+% above, for denoting the inverse operation of undoing the black magic. Both
+% commands honor the [\opt{no}]\opt{sumlimits} options from the
+% \packlass{\amsmath} package.
+%
+% \DescribeMacro{\xrightwitchonbroom}
+% \DescribeMacro{\xleftwitchonbroom}
+% Witches infest the field of extensible ``arrow-like'' symbols too: the
+% commands "\xrightwitchonbroom" and "\xleftwitchonbroom" are syntactically
+% identical to, \emph{e.g.}, "\xrightarrow", but produce an extensible broom
+% with a witch sitting on it. That is to say, the syntax for
+% "\xrightwitchonbroom" is as follows
+% \begin{flushleft}
+% \cmd{\xrightwitchonbroom}\oarg{under text}\marg{over text}
+% \end{flushleft}
+% and "\xleftwitchonbroom" is similar.
+%
+% \DescribeMacro{\overrightwitchonbroom}
+% \DescribeMacro{\overleftwitchonbroom}
+% \DescribeMacro{\underrightwitchonbroom}
+% \DescribeMacro{\underleftwitchonbroom}
+% Finally, the four commands
+% \begin{flushleft}
+% "\overrightwitchonbroom "\marg{subformula} \\
+% "\overleftwitchonbroom "\marg{subformula} \\
+% "\underrightwitchonbroom"\marg{subformula} \\
+% "\underleftwitchonbroom "\marg{subformula}
+% \end{flushleft}
+% are similar to, \emph{e.g.}, "\overrightarrow", and typeset a broom, with a
+% witch sitting on it, over or under the subformula specified in their
+% argument.\footnote{It should be noted that, in my answers
+% to~\cite{bib:cfr}, only the command that now corresponds to
+% \cmd{\overrightwitchonbroom} was provided, but under the different name
+% \cmd{\overrightbroom}.}
+%
+% \paragraph*{Important note:}
+% All the commands described in this subsection have a \mbox{$*$-form} that
+% adds a black cat on the broomstick. The syntax should be easy to remember,
+% since the additional asterisk can be thought of as reminiscent of the cat.
+%
+% \subsubsection{Ghosts}
+%
+% Of course, on Hallowen, ghosts cannot be missing either.
+%
+% \DescribeMacro{\mathghost}
+% \DescribeMacro{\mathrightghost}
+% \DescribeMacro{\mathleftghost}
+% There are three similar commands (without arguments) that produce ordinary
+% symbols, that is, symbols that are treated like letters: the "\mathghost"
+% command yield a symbol resembling a ghost standing upfront; the
+% "\mathrightghost" (resp., "\mathleftghost") command gives a symbol that
+% looks like a ghost moving toward the right (resp., the left).
+%
+% \DescribeMacro{\xrightswishingghost}
+% \DescribeMacro{\xleftswishingghost}
+% Once again, ghosts too haunt the region of extensible ``arrow-like''
+% symbols:
+% \begin{flushleft}
+% "\xrightswishingghost"\oarg{under text}\marg{over text} \\
+% "\xleftswishingghost "\oarg{under text}\marg{over text}
+% \end{flushleft}
+% are analogous to, \emph{e.g.}, "\xrightarrow", but, in place of the arrow,
+% draw a ghost swishing, respectively, toward the right and toward the left.
+%
+% \DescribeMacro{\overrightswishingghost}
+% \DescribeMacro{\overleftswishingghost}
+% \DescribeMacro{\underrightswishingghost}
+% \DescribeMacro{\underleftswishingghost}
+% It is now easy to guess what the following four commands do:
+% \begin{flushleft}
+% "\overrightswishingghost "\marg{subformula} \\
+% "\overleftswishingghost "\marg{subformula} \\
+% "\underrightswishingghost"\marg{subformula} \\
+% "\underleftswishingghost "\marg{subformula}
+% \end{flushleft}
+%
+% \subsubsection{Other symbols}
+%
+% The \packlass{\halloweenmath} package implements one more symbol that could
+% loosely be connected with the world of witches.
+%
+% \DescribeMacro{\mathcloud} \DescribeMacro{\reversemathcloud}
+% Mathemagicians often deal with unscrutable formulas. To represent them,
+% the "\mathcloud" command (without arguments) is available, which produces a
+% symbol, with the form of a cloud, that behaves to a certain extent like a
+% fraction, in that it is typeset in a significantly larger size in displayed
+% formulas than in in-line ones. The companion command "\reversemathcloud"
+% yields a mirror image of the same symbol.
+%
+% \subsection{Script-style version of standard over\protect\slash under
+% arrows}
+%
+% In order to implement our over\slash under ``arrow-like'' symbols, we had
+% to develop an extension of some internal macros of the \packlass{\amsmath}
+% package. These extensions can be applied to produce variants of the
+% standard over\slash under arrows too.
+%
+% \DescribeMacro{\overscriptrightarrow}
+% \DescribeMacro{\overscriptleftarrow}
+% \DescribeMacro{\overscriptleftrightarrow}
+% \DescribeMacro{\underscriptrightarrow}
+% \DescribeMacro{\underscriptleftarrow}
+% \DescribeMacro{\underscriptleftrightarrow}
+% The following six commands are analogous to their standard counterparts
+% whose names do not contain the "script" substring, but the arrows they put
+% above or below the given subformulas are typeset in their relative script
+% style, instead of in the same style as the subformulas themselves (as the
+% standard commands do):
+% \begin{flushleft}
+% "\overscriptrightarrow "\marg{subformula} \\
+% "\overscriptleftarrow "\marg{subformula} \\
+% "\overscriptleftrightarrow "\marg{subformula} \\
+% "\underscriptrightarrow "\marg{subformula} \\
+% "\underscriptleftarrow "\marg{subformula} \\
+% "\underscriptleftrightarrow"\marg{subformula}
+% \end{flushleft}
+%
+% \section{Installing the \packlass{\halloweenmath} package and generating this manual}
+%
+% As usual for \LaTeX\ distributions, the \packlass{\halloweenmath}
+% package is distributed in the form of a \filedir{.dtx} file,
+% namely \filedir{\halloweenmath.dtx}, and an accompanying
+% \filedir{.ins} file, namely \filedir{\halloweenmath.ins}.
+%
+% \subsection{Installation}
+%
+% To extract the code, run \LaTeX\ (or plain \TeX) once on the
+% file \filedir{\halloweenmath.ins}. This will generate the following
+% \LaTeX\ input file:
+% \begin{quote}
+% \ttfamily
+% \halloweenmath.sty
+% \end{quote}
+% To finish the installation, move it to a \LaTeX\ input directory. The
+% above listing of the files you need to move is also displayed on the
+% terminal at the end of the run of the file \filedir{\halloweenmath.ins}.
+% The documentation of your \TeX\ installation should tell you how to find
+% the \LaTeX\ input directory/ies, and probably also how to create new
+% \LaTeX\ input directories reserved to contain your private classes and
+% packages.
+%
+% The \emph{proposed} TDS-compliant directory where the above file should be
+% put is
+% \begin{quote}
+% \texttt{\$TEXMF/tex/latex/halloweenmath/}
+% \end{quote}
+%
+% Please note that before using the \packlass{\halloweenmath} package
+% you must read its license (see Subsection~\ref{sS:License}) to
+% see whether its terms are acceptable for you, especially for what
+% concerns the lack of any warranty; if they are not, don't use
+% this program.
+%
+% \subsection{Documentation}
+%
+% To produce this documentation, run \LaTeX\ three times (for the
+% table of contents to be correct) on the file
+% \filedir{\halloweenmath.dtx}. This won't produce the index and the
+% change history, however: for those, you have to run
+% \emph{MakeIndex} on the files \filedir{\halloweenmath.idx} and
+% \filedir{\halloweenmath.glo}, produced during the last of the
+% aforesaid three \LaTeX\ runs, with the styles \filedir{gind.ist}
+% and \filedir{gglo.ist}, respectively (these styles are part of
+% the standard \LaTeX\ distribution); then pass
+% \filedir{\halloweenmath.dtx} through \LaTeX\ twice more.
+%
+% The documentation produced by default includes the
+% \emph{Implementation} part too; see the beginning of this part
+% for instructions on how to omit it.
+%
+% \subsection{License}
+% \label{sS:License}
+%
+% The \packlass{\halloweenmath} package is \emph{not} in the public
+% domain: its author, Gustavo \textsc{Mezzetti}, owns the
+% copyright, and in general retains all the rights therein; but as
+% a special exception, the author grants you the permissions
+% indicated below.
+%
+% \subsubsection{Distribution and/or modification}
+%
+% The \packlass{\halloweenmath} package may be distributed and/or
+% modified under the conditions of the \LaTeX\ Project Public
+% License, either version~1.3 of this license or (at your option)
+% any later version. The latest version of this license is in
+% \begin{quote}
+% \ttfamily
+% http://www.latex-project.org/lppl.txt
+% \end{quote}
+% and version~1.3 or later is part of all distributions of \LaTeX\
+% version 2005/12/01 or later.
+%
+% The \packlass{\halloweenmath} package has the LPPL maintenance status
+% ``author-maintained''.
+%
+% The file \filedir{manifest.txt} included along with this file
+% specifies what the \packlass{\halloweenmath} package consists of; more
+% precisely, it explains how the locutions ``Work'' and ``Compiled
+% Work'', used in the \LaTeX\ Project Public License, are to be
+% interpreted in the case of this work.
+%
+% \subsubsection{Use}
+%
+% The use of the \packlass{\halloweenmath} package is unrestricted,
+% provided that you accept the terms and conditions of the \LaTeX\
+% Project Public License and of the following subsection for what
+% concerns the absence of any warranty.
+%
+% \subsubsection{No warranty}
+%
+% There is absolutely no warranty for the \packlass{\halloweenmath}
+% package. The Copyright Holder provides the \packlass{\halloweenmath}
+% package ``as is'', without warranty of any kind, either expressed
+% or implied, including, but not limited to, the implied warranties
+% of merchantability and fitness for a particular purpose. The
+% entire risk as to the quality and performance of the
+% \packlass{\halloweenmath} package is with you. Should the
+% \packlass{\halloweenmath} package prove defective, you assume the cost
+% of all necessary servicing, repair, or correction.
+%
+% In no event will The Copyright Holder, or any other party who may
+% distribute and/or modify the \packlass{\halloweenmath} package as
+% permitted by the \LaTeX\ Project Public License, be liable to you
+% for damages, including any general, special, incidental or
+% consequential damages arising out of any use of the
+% \packlass{\halloweenmath} package or out of inability to use it
+% (including, but not limited to, loss of data, data being rendered
+% inaccurate, or losses sustained by anyone as a result of any
+% failure of the \packlass{\halloweenmath} package to operate with any
+% other programs), even if The Copyright Holder or said other party
+% has been advised of the possibility of such damages.
+%
+% \StopEventually{
+% \setcounter{secnumdepth}{0}
+% \providecommand*\bysame{\leavevmode\hbox to3em{\hrulefill}\thinspace}
+%
+% \clearpage
+% \pdfbookmark[0]{Back Matter}{BackMatter}
+% \begin{thebibliography}{9}
+% \addcontentsline{toc}{section}{\refname}
+%
+% \bibitem{bib:cfr}
+% \emph{Seasonal Challenge (Contributions from \TeX ing Dead
+% Welcome)},\\
+% \url{http://tex.stackexchange.com/q/336768/69818}
+%
+% \bibitem{bib:manual}
+% \emph{A short manual for the \packlass{\halloweenmath} package},
+% in preparatiom.
+%
+% \bibitem{bib:sample}
+% \emph{A sample article that uses the \packlass{\halloweenmath} package},
+% in preparation.
+%
+% \end{thebibliography}
+% }
+%
+%
+%
+% \clearpage
+% \part{Implementation}
+%
+% \section{About this part}
+%
+% This part is of interest only to \LaTeX\ hackers; to avoid
+% having this part printed, look in the file \filedir{\filename}
+% for a line that looks \emph{exactly} like this
+% \begin{verbatim}%% \OnlyDescription % uncomment to discard Implementation part\end{verbatim}
+% and remove the two leading percent signs ("%%").
+%
+% \section{A driver for this document}
+%
+% This part of the file is \emph{not} included in any generated file:
+% it is simply the driver.
+% \begin{macrocode}
+%<*driver>
+% \end{macrocode}
+%
+% To begin with, we load the \packlass{ltxdoc} class
+% and the packages we require.
+% \begin{macrocode}
+\documentclass{ltxdoc}
+\usepackage{color,pict2e,hologo}
+\usepackage{hypdoc}
+% \end{macrocode}
+% We now set a few typesetting options.
+% First of all, we want a history listing and a full index, the latter
+% organized by line numbers.
+% \begin{macrocode}
+\RecordChanges
+\EnableCrossrefs
+\CodelineIndex
+% \end{macrocode}
+% If you don't want to include the second part of this document,
+% \emph{Implementation}, uncomment the line containing the command
+% "\OnlyDescription".
+% \begin{macrocode}
+%% \OnlyDescription % uncomment to discard Implementation part
+% \end{macrocode}
+% Finally, setting "\hfuzz" and "\vfuzz" to 0~points is only one
+% of the many neurotic symptoms of the author!
+% \begin{macrocode}
+\hfuzz = 0pt
+\vfuzz = 0pt
+% \end{macrocode}
+% Now input this same file, using \DS\ conventions.
+% \begin{macrocode}
+\begin{document}
+ \DocInput{halloweenmath.dtx}
+% \end{macrocode}
+% Then print the change list and the index. We put these commands in
+% the driver, rather than in the comments of this file, because
+% producing the change list and the index is somewhat cumbersome, and some
+% users could prefer to omit them: such users should simply use a
+% different driver.
+% \begin{macrocode}
+ % \clearpage % attach Change history below References
+ \PrintChanges
+ \clearpage \PrintIndex
+% \end{macrocode}
+% When this file is read directly by \LaTeX\ without the intervention
+% of \DS, the following line will make \TeX\ stop
+% reading.
+% \begin{macrocode}
+\end{document}
+% \end{macrocode}
+% End of driver module.
+% \begin{macrocode}
+%</driver>
+% \end{macrocode}
+%
+% \section{The code for the \packlass{\halloweenmath} package}
+%
+% This part of the file goes into \filedir{\halloweenmath.sty}.
+% \begin{macrocode}
+%<*halloweenmath>
+% \end{macrocode}
+%
+% \subsection{Identification}
+%
+% No particular reason for asking for a particular release of \LaTeXe; but at
+% least, let us specify a date on which the \packlass{\picttwoe} package was
+% likely to exist.
+% \begin{macrocode}
+\NeedsTeXFormat{LaTeX2e}[2004/06/01] % LaTeX2e is required!
+% \end{macrocode}
+% The usual identification:
+% \begin{macrocode}
+\ProvidesPackage{halloweenmath}
+ [2017/01/06 v0.01 (development)]
+% \end{macrocode}
+%
+% \subsection{Initial code}
+%
+% This segment is empty in the \packlass{\halloweenmath} package.
+%
+% \subsection{Declaration of options}
+%
+% This segment is empty in the \packlass{\halloweenmath} package.
+%
+% \subsection{Option processing}
+%
+% This segment is empty in the \packlass{\halloweenmath} package.
+%
+% \subsection{Package loading}
+%
+% Besides the \packlass{\picttwoe} package, that we need to draw the
+% pictures, we also require the \packlass{\amsmath} package.
+% \begin{macrocode}
+\RequirePackage{amsmath,pict2e}
+% \end{macrocode}
+%
+% \subsection{Main code}
+%
+% Let's begin with an important remark. It would be pretty easy to fulfill
+% the purpose of this package using \TikZ; this has been deliberately
+% avoided. This package has been written for fun, and part of this fun lay
+% in the constraint of using only the means provided by the \env{picture}
+% environment, albeit with the \packlass{\picttwoe} extensions. Please
+% accept this fact without arguing about it.
+%
+% The names of all the macros defined in this package start with the prefix
+% "\@HwM@" (``namespace'' prefix).
+%
+% \subsubsection{Preliminary macros}
+%
+% We begin with defining some macros that provide basic functionality.
+%
+% \begin{macro}{\@HwM@tempa}
+% Temporary scratch macro reserved for this package. Here we just check
+% that the name can be used, while, at the same time, reserving it.
+% \begin{macrocode}
+\@ifdefinable\@HwM@tempa{}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@thickness@units@for}
+% The unit of measure we are going to use for line thicknesses; since it is
+% defined in term of the ``default-rule-thickness'' "\fontdimen", it will
+% automatically scale with the font size. The suffix "for" at the end of the
+% names reminds that a font selector like "\textfont" must follow and will be
+% absorbed as argument~\#1.
+% \begin{macrocode}
+\newcommand*\@HwM@thickness@units@for[1]{\fontdimen 8 #1\thr@@}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@right@or@left}
+% Used to pass information about the orientation of left\slash right
+% symmetric figures. Here we just check that the name can be used, at the
+% same time reserving it.
+% \begin{macrocode}
+\@ifdefinable\@HwM@right@or@left{}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@set@right@dir}
+% Causes that the following left\slash right symmetric figure to face to the
+% right.
+% \begin{macrocode}
+\newcommand*\@HwM@set@right@dir{%
+ \let \@HwM@right@or@left \@firstoftwo
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@set@left@dir}
+% Causes that the following left\slash right symmetric figure to face to the
+% left.
+% \begin{macrocode}
+\newcommand*\@HwM@set@left@dir{%
+ \let \@HwM@right@or@left \@secondoftwo
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{environment}{@HwM@math@picture}
+% Customized \env{picture} environment for our ``math pictures'', makes some
+% initializations that are always needed (local to its group). Arguments:
+% \begin{paramlist}
+% \param{1}
+% bounding box height, in coordinate units;\\
+% \param{2}
+% $y$-coordinate of lower left corner of bounding box;\\
+% \param{3}
+% additional code to be executed during initialization;\\
+% \param{4}
+% font selector (\emph{e.g.}, "\textfont");\\
+% \param{5}
+% bounding box width, in coordinate units;\\
+% \param{6}
+% $x$-coordinate of lower left corner of bounding box.
+% \end{paramlist}
+% \begin{macrocode}
+\newenvironment*{@HwM@math@picture}[6]{%
+ \setlength\unitlength{\fontdimen 22 #4\tw@}%
+ #3%
+ \@HwM@right@or@left{%
+ \def\+{+}%
+ \def\-{-}%
+ }{%
+ \def\+{-}%
+ \def\-{+}%
+ }%
+ \picture(#5,#1)(#6,#2)%
+}{\endpicture}
+% \end{macrocode}
+% \end{environment}
+%
+% \begin{macro}{\@HwM@short@circuited@vphant}
+% ``Short-circuited'' version of "\vphantom".
+% \begin{macrocode}
+\newcommand*\@HwM@short@circuited@vphant{\v@true\h@false\mathph@nt}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@oplus@strut}
+% Vertical phantom the size of "\oplus". Arguments:
+% \begin{paramlist}
+% \param{1}
+% style selector (\emph{e.g.}, "\displaystyle").
+% \end{paramlist}
+% \begin{macrocode}
+\newcommand*\@HwM@oplus@strut[1]{%
+ \@HwM@short@circuited@vphant #1\bigoplus@
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@d@pict@strut}
+% Inserts a ``depth-only half-strut'' (the~"d" in the name is for ``depth''),
+% \#1~is its size in picture units.
+% \begin{macrocode}
+\newcommand*\@HwM@d@pict@strut[1]{%
+ \vrule \@width\z@ \@height\z@ \@depth #1\unitlength
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@large@picture}
+% \begin{macro}{\end@HwM@large@picture}
+% This is actually a definition of an environment. The environment beign
+% defined, namely \env{@HwM@large@picture}, is simply syntactic sugar for a
+% typical invocation of the \env{@HwM@math@picture} environment, for a
+% picture of ``large'' size (\( \mbox{height}=5 \), \( \mbox{depth}=3 \),
+% with the baseline running at \( y=-1 \)), suitable for the display-style
+% version of a large operator. Supplies arguments \#1--\#4 of
+% \env{@HwM@math@picture}, with \#4 being "\textfont"; the caller must supply
+% the remaining ones.
+% \begin{macrocode}
+\newcommand*\@HwM@large@picture{%
+ \@HwM@math@picture{5}{-1}{\@HwM@d@pict@strut\thr@@}\textfont
+}
+\let\end@HwM@large@picture = \end@HwM@math@picture
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@small@picture}
+% \begin{macro}{\end@HwM@small@picture}
+% This is actually a definition of an environment. The environment beign
+% defined, namely \env{@HwM@small@picture}, is simply syntactic sugar for a
+% typical invocation of the \env{@HwM@math@picture} environment, for a
+% picture of ``small'' size (\( \mbox{height}=3 \), \( \mbox{depth}=1 \),
+% with the baseline running at \( y=-1 \)), suitable for the
+% non-display-style version of a large operator. Supplies arguments \#1--\#3
+% of \env{@HwM@math@picture}; the caller must supply the remaining ones,
+% \emph{including} argument~\#4.
+% \begin{macrocode}
+\newcommand*\@HwM@small@picture{%
+ \@HwM@math@picture{3}{-1}{\@HwM@d@pict@strut\@ne}%
+}
+\let\end@HwM@small@picture = \end@HwM@math@picture
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@oplus@picture}
+% \begin{macro}{\end@HwM@oplus@picture}
+% This is actually a definition of an environment. The environment beign
+% defined, namely \env{@HwM@oplus@picture}, is simply syntactic sugar for a
+% typical invocation of the \env{@HwM@math@picture} environment, for a
+% picture having the vertical size of an "\oplus", with baseline running at
+% \( y=-1 \). Supplies arguments \#1--\#3 of \env{@HwM@math@picture}; the
+% caller must supply the others, \emph{including} argument~\#4.
+% \begin{macrocode}
+\newcommand*\@HwM@oplus@picture[1]{%
+ \@HwM@math@picture{0}{-1}{\@HwM@oplus@strut #1}%
+}
+\let\end@HwM@oplus@picture = \end@HwM@math@picture
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+%
+% \begin{macro}{\if@HwM@cat@}
+% Switch that tells whether a witch that is about to be drawn should be
+% accompanied by her cat or not.
+% \begin{macrocode}
+\@ifdefinable\if@HwM@cat@{\newif\if@HwM@cat@}
+% \end{macrocode}
+% \end{macro}
+%
+% The following two macros should probably be unified (but is this
+% feasible?\@), since the first one isn't used elsewhere in the code.
+%
+% \begin{macro}{\@HwM@if@bold@math}
+% \LaTeX-style conditional: if the math version is currently \texttt{bold},
+% executes the code in the first argument, otherwise the code in the second
+% argument.
+% \begin{macrocode}
+\newcommand*\@HwM@if@bold@math{%
+ \def\@tempa{bold}%
+ \ifx\math@version\@tempa
+ \expandafter\@firstoftwo
+ \else
+ \expandafter\@secondoftwo
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@choose@thicknesses}
+% Shuffles arguments according to the current math version.
+% \begin{macrocode}
+\newcommand*\@HwM@choose@thicknesses[3]{%
+ \@HwM@if@bold@math{#1#3}{#1#2}
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@magic@star}
+% Draws a star; argument~\#1 is a scale factor.
+% \begin{macrocode}
+\newcommand*{\@HwM@magic@star}[1]{%
+ \begingroup
+ \setlength\unitlength{#1\unitlength}%
+ \picture(0,0)%
+ \polygon*(0,1)(-.225,.309)(-.951,.309)(-.363,-.118)(-.588,-.809)%
+ (0,-.382)(.588,-.809)(.363,-.118)(.951,.309)(.225,.309)%
+ \endpicture
+ \endgroup
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \paragraph*{General remark:}
+% In all of the following drawings, the thickness of most of the lines
+% depends on the current math style. On the other hand, some pictures are
+% made up of smaller reusable pieces that are shared among more than one
+% drawing. As a matter of mental order, I~prefer to confine the lookup for
+% the current style to a single place for each picture, and pass the
+% appropriate thicknesses down to the macros that draw the single pieces as
+% parameters. Nonetheless, the interface toward the rest of the code
+% requires macros that can draw a picture without requiring the caller to
+% specify thickness arguments. This means that some drawing macros must
+% exist in two variants:
+% \begin{itemize}
+% \item
+% a ``private'' variant that requires the caller to specify thickness
+% parameters;
+% \item
+% a ``public'' variant that doesn't require such parameters, but uses,
+% instead, the "\@HwM@choose@thicknesses" macro to find out the
+% appropriate thickness values by itself.
+% \end{itemize}
+% To make it clear when two macros are actually two such variants of the same
+% conceptual function, we shall consistently adhere to the following naming
+% convention:
+% \begin{itemize}
+% \item
+% the name of the``private'' private variant will be made up of words
+% separated by "@"~characters, and each of those word will \emph{not} be
+% capitalized (for example, "\@HwM@large@witch");
+% \item
+% the name of the ``public'' variant will be composed by exactly the same
+% words, again separated by "@"~characters, \emph{but} with each word
+% being also capitalized (for example, "\@HwM@Large@Witch").
+% \end{itemize}
+% Note, though, that the ``public'' variant of a macro will typically (but
+% not always) require the caller to specify a font selector like "\textfont";
+% we'll see that, from the point of view of the other parts of the code, this
+% is an acceptable requirement for the interface.
+%
+% \subsubsection{Drawing the witch (and the cat)}
+%
+% The following macros are responsible for the bulk of the task of drawing
+% the witch (with an optional cat). Figure~\ref{fig:witch} shows a sketch of
+% this drawing.
+%
+% \begin{figure}[tp]
+% \centering
+% The small variant:\\*[\bigskipamount]
+% \begin{picture}(6,4)(-3,-2)
+% \linethickness{.1pt}
+% \color{guidelines}
+% \multiput(-3,-2)(1,0){7}{\line(0,1){4}}
+% \multiput(-3,-2)(0,1){5}{\line(1,0){6}}
+% \color{black}
+% \linethickness{3pt}
+% \roundcap
+% \Line(-1,-1)(3,1)
+% \linethickness{1.5pt}
+% \Line(-1,-1)(-2.5,-1.25)
+% \Line(-1,-1)(-2.4,-1.5)
+% \Line(-1,-1)(-2.25,-1.75)
+% \Line(-1,-1)(-2,-2)
+% \put(-1.7,-.4){\magicstar{.4}}
+% \put(-2.7,-.8){\magicstar{.25}}
+% \Line(0,.9)(-.1,.7)
+% \polyline(.3,1.6)(.4,1.5)(.75,1.5)(.9,1.2)(.5,1.2)
+% (.6,1)(.8,.9)(.7,.75)(0,.9)(-.1,1)
+% \Line(.1,1.4)(.3,1.5)
+% \polygon*(-.5,1)(-1,0)(-1,-.5)(-.75,-1)(.5,-1)
+% (0,-1.8)(.2,-1.9)(.3,-1.7)(.4,-2)(1,-2)
+% (.5,-1.8)(.5,-1.5)(.8,-1.6)(1,-.75)(0,-.5)
+% (0,-.3)(.7,-.3)(.9,-.2)(1,0)(0,0)
+% (0,.7)
+% \polygon*(-1.5,1)(-1.4,1.5)(-1,2)(-.5,2)(0,1.75)
+% (.5,1.9)(1.25,1.75)(0,1.5)(-.5,1)(-1,.8)
+% (-1.2,1)(-1,1)(-.5,1.5)(-1,1.75)(-1.3,1.5)
+% ^^A
+% ^^A The cat:
+% \put(1.8,.5){\circle*{.6}}
+% \put(2.1,.7){\circle*{.5}}
+% \put(2.25,1){\circle*{.4}}
+% \polygon*(2.05,1)(2.05,1.25)(2.25,1.1)(2.45,1.25)(2.45,1)
+% \linethickness{3pt}
+% \cbezier(1.6,.3)(1,0)(2.1,-.2)(1.5,-.5)
+% \end{picture}
+%
+% \bigskip\bigskip\bigskip
+%
+% The large variant:\\*[\bigskipamount]
+% \begin{picture}(12,8)(-6,-4)
+% \linethickness{.1pt}
+% \color{guidelines}
+% \multiput(-6,-4)(1,0){13}{\line(0,1){8}}
+% \multiput(-6,-4)(0,1) {9}{\line(1,0){12}}
+% \color{black}
+% \roundcap
+% \linethickness{4pt}
+% \Line(-2,-2)(6,2)
+% \linethickness{2pt}
+% \Line(-2,-2)(-5,-2.5)
+% \Line(-2,-2)(-4.85,-2.95)
+% \Line(-2,-2)(-4.6,-3.3)
+% \Line(-2,-2)(-4.35,-3.65)
+% \Line(-2,-2)(-4,-4)
+% \put(-3,-1.2){\magicstar{.4}}
+% \put(-4.1,-.8){\magicstar{.8}}
+% \put(-5.4,-1.8){\magicstar{.6}}
+% \Line(0,1.8)(-.2,1.4)
+% \polyline(.6,3.2)(.8,3)(1.5,3)
+% \put(1.6,3){\oval(.2,.2)[tl]}
+% \put(1.6,3){\oval(.2,.2)[r]}
+% \polyline(1.6,2.9)(1.8,2.4)(1.2,2.4)(1,2.5)(1,2.3)
+% (1.2,2)(1.6,1.8)(1.7,1.8)(1.7,1.6)(1.4,1.5)
+% (0,1.8)(-.2,2)
+% \Line(.2,2.8)(.6,3)
+% \polygon*(-1,2)(-2,0)(-2,-1)(-1.5,-2)(1,-2)
+% (0,-3.6)(.4,-3.8)(.6,-3.4)(.8,-4)(2,-4)
+% (1,-3.6)(1,-3)(1.6,-3.2)(2,-1.5)(0,-1)
+% (0,-.6)(1.4,-.6)(1.8,-.4)(2,0)(0,0)
+% (0,1.4)
+% \polygon*(-3,2)(-2.8,3)(-2,4)(-1.5,4.1)(-1,4)(0,3.5)
+% (1,3.8)(2.5,3.5)(3,3.3)(2,3.4)(0,3)(-1,2)(-2,1.6)
+% (-2.7,2)(-2,2)(-1,3)(-2,3.5)(-2.6,3)
+% \linethickness{.4pt}
+% \Line(1.7,1.6)(2,1.6)
+% \Line(1.7,1.6)(1.9,1.4)
+% \Line(1.7,1.6)(1.7,1.3)
+% ^^A
+% ^^A The cat:
+% \put(3.6,1){\circle*{1.2}}
+% \put(4.2,1.4){\circle*{1}}
+% \put(4.5,2){\circle*{.8}}
+% \polygon*(4.1,2)(4.1,2.5)(4.5,2.2)(4.9,2.5)(4.9,2)
+% \linethickness{4pt}
+% \cbezier(3.2,.6)(2,0)(4.2,-.4)(3,-1)
+% \buttcap
+% \linethickness{.4pt}
+% \Line(3.8,2.1)(5.2,1.9)
+% \Line(3.8,2)(5.2,2)
+% \Line(3.8,1.9)(5.2,2.1)
+% \end{picture}
+%
+% \caption{Sketches of the witch}
+% \label{fig:witch}
+% \end{figure}
+%
+% \begin{macro}{\@HwM@large@witch}
+% This is the macro that draws the ``large'' version of the witch (for
+% "\displaystyle"). This is the ``private'' variant, with the following
+% parameters:
+% \begin{paramlist}
+% \param{1}
+% "l"~for a right-facing witch, "r"~for a left-facing one;\\
+% \param{2}
+% "r"~for a right-facing witch, "l"~for a left-facing one;\\
+% \param{3}
+% main drawing thickness, in units of the default-rule-thickness
+% "\fontdimen";\\
+% \param{4}
+% thickness of the broomstick and of the cat's tail, in the same units;\\
+% \param{5}
+% thickness of hair (beard, whiskers), in the same units.
+% \end{paramlist}
+% \begin{macrocode}
+\newcommand*\@HwM@large@witch[5]{%
+ \begin{@HwM@large@picture}{12}{-6}%
+ \roundcap
+ \linethickness{#4\@HwM@thickness@units@for \textfont}%
+ \Line(\-2,-2)(\+6,2)%
+ \linethickness{#3\@HwM@thickness@units@for \textfont}%
+ \Line(\-2,-2)(\-5,-2.5)%
+ \Line(\-2,-2)(\-4.85,-2.95)%
+ \Line(\-2,-2)(\-4.6,-3.3)%
+ \Line(\-2,-2)(\-4.35,-3.65)%
+ \Line(\-2,-2)(\-4,-4)%
+ \put(\-3,-1.2){\@HwM@magic@star{.4}}%
+ \put(\-4.1,-.8){\@HwM@magic@star{.8}}%
+ \put(\-5.4,-1.8){\@HwM@magic@star{.6}}%
+ \Line(0,1.8)(\-.2,1.4)%
+ \polyline(\+.6,3.2)(\+.8,3)(\+1.5,3)%
+ \put(\+1.6,3){\oval(.2,.2)[t#1]}%
+ \put(\+1.6,3){\oval(.2,.2)[#2]}%
+ \polyline(\+1.6,2.9)(\+1.8,2.4)(\+1.2,2.4)(\+1,2.5)(\+1,2.3)%
+ (\+1.2,2)(\+1.6,1.8)(\+1.7,1.8)(\+1.7,1.6)(\+1.4,1.5)%
+ (0,1.8)(\-.2,2)%
+ \polygon*(\-1,2)(\-2,0)(\-2,-1)(\-1.5,-2)(\+1,-2)%
+ (0,-3.6)(\+.4,-3.8)(\+.6,-3.4)(\+.8,-4)(\+2,-4)%
+ (\+1,-3.6)(\+1,-3)(\+1.6,-3.2)(\+2,-1.5)(0,-1)%
+ (0,-.6)(\+1.4,-.6)(\+1.8,-.4)(\+2,0)(0,0)%
+ (0,1.4)%
+ \polygon*(\-3,2)(\-2.8,3)(\-2,4)(\-1.5,4.1)(\-1,4)(0,3.5)%
+ (\+1,3.8)(\+2.5,3.5)(\+3,3.3)(\+2,3.4)(0,3)(\-1,2)(\-2,1.6)%
+ (\-2.7,2)(\-2,2)(\-1,3)(\-2,3.5)(\-2.6,3)%
+ \buttcap
+% \end{macrocode}
+% The witch's eye:
+% \begin{macrocode}
+ \Line(\+.2,2.8)(\+.6,3)%
+% \end{macrocode}
+% Rest of the code:
+% \begin{macrocode}
+ \linethickness{#5\p@}%
+ \Line(\+1.7,1.6)(\+2,1.6)%
+ \Line(\+1.7,1.6)(\+1.9,1.4)%
+ \Line(\+1.7,1.6)(\+1.7,1.3)%
+ \if@HwM@cat@
+ \Line(\+3.8,2.1)(\+5.2,1.9)%
+ \Line(\+3.8,2)(\+5.2,2)%
+ \Line(\+3.8,1.9)(\+5.2,2.1)%
+ \roundcap
+ \linethickness{#4\@HwM@thickness@units@for \textfont}%
+ \put(\+3.6,1){\circle*{1.2}}%
+ \put(\+4.2,1.4){\circle*{1}}%
+ \put(\+4.5,2){\circle*{.8}}%
+ \polygon*(\+4.1,2)(\+4.1,2.5)(\+4.5,2.2)(\+4.9,2.5)(\+4.9,2)%
+ \cbezier(\+3.2,.6)(\+2,0)(\+4.2,-.4)(\+3,-1)%
+ \fi
+ \end{@HwM@large@picture}%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@Large@Witch}
+% The ``public'' variant of the above, with the following parameters:
+% \begin{paramlist}
+% \param{1}
+% "l"~for a right-facing witch, "r"~for a left-facing one;\\
+% \param{2}
+% "r"~for a right-facing witch, "l"~for a left-facing one.
+% \end{paramlist}
+% \begin{macrocode}
+\newcommand*\@HwM@Large@Witch[2]{%
+ \@HwM@choose@thicknesses{\@HwM@large@witch #1#2}%
+ {{.4}{1.8}{.1}}%
+ {{.8}{2.7}{.15}}%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@common@small@body}
+% The macros that draw the ``small'' version of the witch (for styles others
+% than "\displaystyle") are more complex, because some parts of the drawing
+% are shared also by the extensible brooms ("\xrightwicthonbroom",
+% "\overrightwitchonbroom", and the like). The following macro draws the
+% parts that are common to all such constructions. This is the ``private''
+% variant, with the following parameters:
+% \begin{paramlist}
+% \param{1}
+% font selector (\emph{e.g.}, "\textfont");\\
+% \param{2}
+% line thickness for the witch's face, in relative units.
+% \end{paramlist}
+% \begin{macrocode}
+\newcommand*\@HwM@common@small@body[2]{%
+ \linethickness{#2\@HwM@thickness@units@for #1}%
+ \buttcap
+% \end{macrocode}
+% The witch's eye:
+% \begin{macrocode}
+ \Line(\+.1,1.4)(\+.3,1.5)%
+% \end{macrocode}
+% Rest of the code:
+% \begin{macrocode}
+ \roundcap
+ \Line(0,.9)(\-.1,.7)%
+ \polyline(\+.3,1.6)(\+.4,1.5)(\+.75,1.5)(\+.9,1.2)(\+.5,1.2)%
+ (\+.6,1)(\+.8,.9)(\+.7,.75)(0,.9)(\-.1,1)%
+ \polygon*(\-.5,1)(\-1,0)(\-1,-.5)(\-.75,-1)(\+.5,-1)%
+ (0,-1.8)(\+.2,-1.9)(\+.3,-1.7)(\+.4,-2)(\+1,-2)%
+ (\+.5,-1.8)(\+.5,-1.5)(\+.8,-1.6)(\+1,-.75)(0,-.5)%
+ (0,.7)%
+ \polygon*(\-1.5,1)(\-1.4,1.5)(\-1,2)(\-.5,2)(0,1.75)%
+ (\+.5,1.9)(\+1.25,1.75)(0,1.5)(\-.5,1)(\-1,.8)%
+ (\-1.2,1)(\-1,1)(\-.5,1.5)(\-1,1.75)(\-1.3,1.5)%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@Common@Small@Body}
+% The ``public'' variant of the above; parameters:
+% \begin{paramlist}
+% \param{1}
+% font selector (\emph{e.g.}, "\textfont").
+% \end{paramlist}
+% \begin{macrocode}
+\newcommand*\@HwM@Common@Small@Body[1]{%
+ \@HwM@choose@thicknesses {\@HwM@common@small@body #1}{{.35}}{{.7}}%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@common@small@cat}
+% Draw the part of the cat that is shared also by the extensible brooms;
+% ``private'' variant, parameters are as follows:
+% \begin{paramlist}
+% \param{1}
+% font selector (\emph{e.g.}, "\textfont");\\
+% \param{2}
+% line thickness for the cat's tail, in relative units.
+% \end{paramlist}
+% \begin{macrocode}
+\newcommand*\@HwM@common@small@cat[2]{%
+ \roundcap
+ \linethickness{#2\@HwM@thickness@units@for #1}%
+ \if@HwM@cat@
+ \put(\+1.8,.5){\circle*{.6}}%
+ \put(\+2.1,.7){\circle*{.5}}%
+ \put(\+2.25,1){\circle*{.4}}%
+ \polygon*(\+2.05,1)(\+2.05,1.25)(\+2.25,1.1)(\+2.45,1.25)(\+2.45,1)%
+ \cbezier(\+1.8,.4)(\+1.2,.1)(\+2,-.1)(\+1.4,-.4)%
+ \fi
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@Common@Small@Cat}
+% The ``public'' variant of the above; parameters:
+% \begin{paramlist}
+% \param{1}
+% font selector (\emph{e.g.}, "\textfont").
+% \end{paramlist}
+% \begin{macrocode}
+\newcommand*\@HwM@Common@Small@Cat[1]{%
+ \@HwM@choose@thicknesses {\@HwM@common@small@cat #1}{{}}{{2}}%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@Small@Witch}
+% This is the macro that draws the complete ``small'' variant of the witch
+% (for styles other than "\displaystyle"). This one exists only in the
+% ``public'' variant, with the following arguments:
+% \begin{paramlist}
+% \param{1}
+% style selector (\emph{e.g.}, "\displaystyle");\\
+% \param{2}
+% font selector (\emph{e.g.}, "\textfont").
+% \end{paramlist}
+% The first parameter is imposed by the interface toward other parts of the
+% code, because other macros that share the same interface might need it, but
+% isn't actually used in this case.
+% \begin{macrocode}
+\newcommand*\@HwM@Small@Witch[2]{%
+ \begin{@HwM@small@picture}#2{6}{-3}%
+ \@HwM@Common@Small@Cat #2%
+ \Line(\-1,-1)(\+3,1)%
+ \@HwM@Common@Small@Body #2%
+ \Line(\-1,-1)(\-2.5,-1.25)%
+ \Line(\-1,-1)(\-2.4,-1.5)%
+ \Line(\-1,-1)(\-2.25,-1.75)%
+ \Line(\-1,-1)(\-2,-2)%
+ \put(\-1.7,-.4){\@HwM@magic@star{.4}}%
+ \put(\-2.7,-.8){\@HwM@magic@star{.25}}%
+ \polygon*(0,-.3)(\+.7,-.3)(\+.9,-.2)(\+1,0)(0,0)%
+ \end{@HwM@small@picture}%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \textbf{Uncommented code} starts here.
+% \begin{macrocode}
+%
+% Drawing the small witch w/o the broom:
+\newcommand*\@HwM@Small@Witch@Wo@Broom[1]{%
+ \begin{@HwM@math@picture}{4}{-2}{}#1{0}{\+1}%
+ \@HwM@Common@Small@Body #1%
+ \polygon*(\-.1,.4)(\+1,-.9)(\+1,-1.2)(\+.8,-1.2)(\-.1,0)%
+ \end{@HwM@math@picture}%
+}
+%
+% Drawing the cat on a horizontal broomstick:
+\newcommand*\@HwM@Small@Cat@On@Hori@Broom[1]{%
+ \begin{@HwM@math@picture}{0}{-.6}{}#1{0}{\+2.5}%
+ \@HwM@Common@Small@Cat #1%
+ \Line(\+2.2,.8)(\+2.4,.4)%
+ \end{@HwM@math@picture}%
+}
+%
+% Pumpkins.
+\newcommand*\@HwM@large@pumpkin@profile[1]{%
+ \cbezier(#1.15,2.25)(#12.63,3.75)(#13.38,1.5)(#13.38,0)%
+ \cbezier(#1.15,-2.7)(#12.4,-3.6)(#13.38,-1.5)(#13.38,0)%
+ \put(#11.13,1.13){\circle*{.8}}%
+}
+\newcommand*\@HwM@large@pumpkin@mouth[9]{%
+ \polygon*%
+ % lower lip:
+ (-#1)(-#2)(-#3)(-#4)(0,#5)(#4)(#3)(#2)(#1)%
+ % upper lip:
+ (#6)(#7)(#8)(0,#9)(-#8)(-#7)(-#6)%
+}
+\newcommand*\@HwM@large@pumpkin[1]{%
+ \begin{@HwM@oplus@picture}\displaystyle \textfont {7.5}{-3.75}%
+ \roundcap
+ \linethickness{#1\@HwM@thickness@units@for \textfont}%
+ \Line(-.15,2.25)(-.3,3)(.3,3)(.15,2.25)%
+ \Line(-.15,-2.7)(.15,-2.7)%
+ \@HwM@large@pumpkin@profile-%
+ \@HwM@large@pumpkin@profile+%
+ \polygon*(0,.35)(-.35,-.35)(.35,-.35)%
+ \@HwM@large@pumpkin@mouth{2,-.5}{1.3,-1.4}{.8,-1.3}{.5,-1.6}%
+ {-1.5}%
+ {1.2,-1.1}{.7,-1}{.45,-1.1}%
+ {-1}%
+ \end{@HwM@oplus@picture}%
+}
+\newcommand*\@HwM@Large@Pumpkin{%
+ \@HwM@choose@thicknesses \@HwM@large@pumpkin
+ {{1.8}}%
+ {{2.2}}%
+}
+\newcommand*\@HwM@small@pumpkin@profile[1]{%
+ \cbezier(#1.1,1.5)(#11.75,2.5)(#12.25,1)(#12.25,0)%
+ \cbezier(#1.1,-1.8)(#11.6,-2.4)(#12.25,-1)(#12.25,0)%
+ \put(#1.75,.75){\circle*{.5}}%
+}
+\newcommand*\@HwM@small@pumpkin@mouth[7]{%
+ \polygon*%
+ % lower lip:
+ (-#1)(-#2)(-#3)(0,#4)(#3)(#2)(#1)%
+ % upper lip:
+ (#5)(#6)(0,#7)(-#6)(-#5)%
+}
+\newcommand*\@HwM@small@pumpkin[3]{%
+ \begin{@HwM@oplus@picture}#1#2{5}{-2.5}%
+ \roundcap
+ \linethickness{#3\@HwM@thickness@units@for #2}%
+ \Line(-.1,1.5)(-.15,2)(.15,2)(.1,1.5)%
+ \Line(-.1,-1.8)(.1,-1.8)%
+ \@HwM@small@pumpkin@profile-%
+ \@HwM@small@pumpkin@profile+%
+ \polygon*(0,.2)(-.2,-.2)(.2,-.2)%
+ \@HwM@small@pumpkin@mouth{1.3,-.3}{.8,-.8}{.5,-.7}%
+ {-1}%
+ {.7,-.6}{.4,-.5}%
+ {-.7}%
+ \end{@HwM@oplus@picture}%
+}
+\newcommand*\@HwM@Small@Pumpkin[2]{%
+ \@HwM@choose@thicknesses{\@HwM@small@pumpkin #1#2}%
+ {{}}%
+ {{1.5}}%
+}
+\newcommand*\@HwM@oplus@pumpkin@profile[1]{%
+ \cbezier(#1.1,1)(#11.2,1.7)(#11.6,.8)(#11.6,0)%
+ \cbezier(#1.1,-1)(#11,-1.5)(#11.6,-.8)(#11.6,0)%
+ \put(#1.6,.5){\circle*{.4}}%
+}
+\newcommand*\@HwM@oplus@pumpkin[3]{%
+ \begin{@HwM@oplus@picture}#1#2{3.6}{-1.8}%
+ \roundcap
+ \linethickness{#3\@HwM@thickness@units@for #2}%
+ \Line(-.1,1)(-.15,1.4)(.15,1.4)(.1,1)%
+ \Line(-.1,-1)(.1,-1)%
+ \@HwM@oplus@pumpkin@profile-%
+ \@HwM@oplus@pumpkin@profile+%
+ \@HwM@small@pumpkin@mouth{1,-.1}{.7,-.5}{.4,-.4}%
+ {-.7}%
+ {.6,-.3}{.3,-.2}%
+ {-.4}%
+ \end{@HwM@oplus@picture}%
+}
+\newcommand*\@HwM@Oplus@Pumpkin[2]{%
+ \@HwM@choose@thicknesses{\@HwM@oplus@pumpkin #1#2}%
+ {{.6}}%
+ {{1.2}}%
+}
+%
+% Clouds.
+\newcommand*\@HwM@large@cloud[1]{%
+ \begin{@HwM@large@picture}{12}{-6}%
+ \roundcap
+ \linethickness{#1\@HwM@thickness@units@for \textfont}%
+ \cbezier(\-5,0)(\-7,.5)(\-5.5,3.25)(\-4,2.5)%
+ \cbezier(\-3.8,2.1)(\-4.75,3.5)(\-2,4)(\-2,3)%
+ \cbezier(\-2.4,2.5)(\-1.5,4)(\+2,5)(\+2,3)%
+ \cbezier(\+1.8,2.8)(\+2.5,4)(\+4.5,2.5)(\+2.8,1.8)%
+ \cbezier(\+3.2,2)(\+7,2)(\+6,0)(\+5,0)%
+ \cbezier(\+5,0)(\+6,0)(\+6.25,-1)(\+5.3,-1.4)%
+ \cbezier(\+4.6,-1.1)(\+6.8,-1.5)(\+4.3,-4)(\+3.6,-2.1)%
+ \cbezier(\+3.9,-2.6)(\+4,-3)(\+2,-5)(0,-3)%
+ \cbezier(\+.2,-2.4)(\-.2,-4.5)(\-4.5,-4)(\-4,-2)%
+ \cbezier(\-3.4,-2)(\-5.5,-2)(\-6.5,-.5)(\-5,0)%
+ \end{@HwM@large@picture}%
+}
+\newcommand*\@HwM@Large@Cloud{%
+ \@HwM@choose@thicknesses \@HwM@large@cloud
+ {{.8}}%
+ {{1.6}}%
+}
+\newcommand*\@HwM@small@cloud[2]{%
+ \begin{@HwM@small@picture}#1{6}{-3}%
+ \roundcap
+ \linethickness{#2\@HwM@thickness@units@for #1}%
+ \cbezier(\-2.5,0)(\-3.5,.25)(\-3,2)(\-1,1.5)%
+ \cbezier(\-1.2,1.25)(\-.75,2)(\+1,2.5)(\+1,1.5)%
+ \cbezier(\+.9,1.4)(\+1.25,2)(\+2.25,1.25)(\+1.4,.9)%
+ \cbezier(\+1.6,1)(\+3.5,1)(\+3,0)(\+2.5,0)%
+ \cbezier(\+2.5,0)(\+3,0)(\+3.5,-1)(\+2.1,-1.2)%
+ \cbezier(\+2.5,-1.1)(\+2.5,-2)(\+1,-2.5)(0,-1.5)%
+ \cbezier(\+.1,-1.2)(\-.1,-2.25)(\-2.25,-2)(\-2,-1)%
+ \cbezier(\-1.7,-1)(\-2.75,-1)(\-3.25,-.25)(\-2.5,0)%
+ \end{@HwM@small@picture}%
+}
+\newcommand*\@HwM@Small@Cloud[2]{%
+ \@HwM@choose@thicknesses{\@HwM@small@cloud #2}%
+ {{.5}}%
+ {{1.2}}%
+}
+%
+% Ghosts.
+\newcommand*\@HwM@symm@ghost@contour[8]{%
+ \cbezier(-#1,#2)(-#3,#4)(-#3,#5)(-#3,#6)%
+ \Line(-#3,#6)(-#3,#7)%
+ \cbezier(#1,#2)(#3,#4)(#3,#5)(#3,#6)%
+ \Line(#3,#6)(#3,#7)%
+ \cbezier(-#3,#7)(-#3,#8)(#3,#8)(#3,#7)%
+}
+\newcommand*\@HwM@symm@ghost@border[8]{%
+ \cbezier(-#1,#2)(-#3,#4)(-#5,#6)(-#7,#2)%
+ \qbezier(-#7,#2)(0,#8)(#7,#2)%
+ \cbezier(#1,#2)(#3,#4)(#5,#6)(#7,#2)%
+}
+\newcommand*\@HwM@symm@ghost@eyes[3]{%
+ \put(-#1,#2){\circle*{#3}}%
+ \put(#1,#2){\circle*{#3}}%
+}
+\newcommand*\@HwM@symmetric@ghost[3]{%
+ \begin{@HwM@math@picture}{2.6}{-1}%
+ {\@HwM@d@pict@strut{.6}}#1{3.2}{-1.6}%
+ \roundcap
+ \linethickness{#2\@HwM@thickness@units@for #1}%
+ \@HwM@symm@ghost@contour{1.5}{-1.5}{1}{-1}{-.5}{0}{.5}{2}%
+ \linethickness{#3\@HwM@thickness@units@for #1}%
+ \@HwM@symm@ghost@border{1.5}{-1.5}{1.1}{-1.1}{.7}{-1.9}{.3}{-1.2}%
+ \@HwM@symm@ghost@eyes{.4}{.7}{.4}%
+ \end{@HwM@math@picture}%
+}
+\newcommand*\@HwM@Symmetric@Ghost[2]{%
+ \@HwM@choose@thicknesses{\@HwM@symmetric@ghost #2}%
+ {{.9}{.6}}%
+ {{1.8}{1.2}}%
+}
+\newcommand*\@HwM@asymmetric@ghost[3]{%
+ \begin{@HwM@math@picture}{2.6}{-1}%
+ {\@HwM@d@pict@strut{.6}}#1{3.8}%
+ {-\@HwM@right@or@left{1.6}{2.2}}%
+ \roundcap
+ \linethickness{#2\@HwM@thickness@units@for #1}%
+ \cbezier(\-1.75,-1.5)(\-1,-1)(\-.7,-.5)(\-.5,0)%
+ \cbezier(\-.5,0)(\-.3,.5)(0,1.6)(\+1,1.6)%
+ \cbezier(\+1,1.6)(\+1.8,1.6)(\+1.8,.9)(\+1.8,.6)%
+ \cbezier(\+1.8,.6)(\+1.8,-.3)(\+.9,-.7)(\+1.25,-1.5)%
+ \linethickness{#3\@HwM@thickness@units@for #1}%
+ \cbezier(\-1.75,-1.5)(\-1.4,-1.2)(\-1.1,-1.8)(\-.75,-1.5)%
+ \cbezier(\-.75,-1.5)(\-.4,-1.2)(\-.1,-1.8)(\+.25,-1.5)%
+ \cbezier(\+.25,-1.5)(\+.6,-1.2)(\+.9,-1.8)(\+1.25,-1.5)%
+ \put(\+1.2,.7){\circle*{.4}}%
+ \end{@HwM@math@picture}%
+}
+\newcommand*\@HwM@Asymmetric@Ghost[2]{%
+ \@HwM@choose@thicknesses{\@HwM@asymmetric@ghost #2}%
+ {{.9}{.6}}%
+ {{1.8}{1.2}}%
+}
+
+% Extensible arrow-like symbols.
+\newlength\@HwM@arrowfill@skip
+% \end{macrocode}
+%
+% \begin{macro}{\@HwM@auto@font@selector}
+% Suppose you have \meta{something} (\emph{e.g.}, a macro token) that expects
+% to be followed by a pair \meta{style selector}\meta{font selector}, where
+% \meta{style selctor} is a single token like "\displaystyle" or
+% "\scriptscriptstyle", and \meta{font selector} is a single token like
+% "\textfont" or "\scriptfont"; then
+% \begin{flushleft}
+% "\@HwM@auto@font@selector{"\meta{something}"}"\meta{style selector}
+% \end{flushleft}
+% is transformed into
+% \begin{flushleft}
+% \meta{something}\meta{style selector}\meta{font selector}
+% \end{flushleft}
+% where \meta{style selector} is the same style selector as the one that was
+% originally present, and \meta{font selector} is the correct font selector
+% associated with it (that is, "\textfont" for "\displaystyle" and
+% "\textstyle", and so on). For example,
+% \begin{flushleft}
+% "\@HwM@auto@font@selector{"\meta{something}"}\scriptstyle"
+% \end{flushleft}
+% is transformed into
+% \begin{flushleft}
+% \meta{something}"\scriptstyle\scriptfont"
+% \end{flushleft}
+% In other words, prepending \meta{something} with "\@HwM@auto@font@selector"
+% turns it from something that requires the two arguments \meta{style
+% selector}\meta{font selector} into something else that takes just the
+% single argument \meta{style selector}: the appropriate \meta{font selector}
+% will be automatically supplied (whence the name of this macro).
+% \textbf{Beware:} the following is a simple implementation that relies on
+% assignments and that is therefore \emph{not} purely expandable.
+% \begin{macrocode}
+\newcommand*\@HwM@auto@font@selector[2]{%
+ \def\@tempa{#1}%
+ \edef\@tempb{%
+ \ifx\displaystyle #2%
+ \textfont
+ \else \ifx\textstyle #2%
+ \textfont
+ \else \ifx\scriptstyle #2%
+ \scriptfont
+ \else \ifx\scriptscriptstyle #2%
+ \scriptscriptfont
+ \fi\fi\fi\fi
+ }%
+ \expandafter \@tempa \expandafter #2\@tempb
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \textbf{Uncommented code} again.
+% \begin{macrocode}
+\newcommand*\@HwM@extended@arrowfill@[2]{%
+ % #1 is the "leaders" (pseudo-)macro (must gobble 2 arguments)
+ % #2 is the minimal width in math units
+ \@HwM@auto@font@selector
+ {\@HwM@stylefont@arrowfill{#1}{#2}}%
+}
+\newcommand*\@HwM@stylefont@arrowfill[4]{%
+ % #1 is the "leaders" (pseudo-)macro (must gobble 2 arguments)
+ % #2 is the minimal width in math units
+ % #3 is style selector (e.g., "\displaystyle")
+ % #4 is font selector (e.g., "\textfont")
+ $\m@th
+ \thickmuskip 0mu%
+ \medmuskip \thickmuskip
+ \thinmuskip \thickmuskip
+ \setlength\@HwM@arrowfill@skip
+ {#2\fontdimen 6 #4\tw@ \@plus \@ne fill}%
+ #3%
+ #1#3#4%
+ $%
+}
+\newcommand*\@HwM@enriched@arrowfill@[5]{%
+ % #1, #2, and #3 are the three characters
+ % #4 and #5 are the two additional macros (both with 2 arguments)
+ % its call must be followed by the argument for the minimal width
+ \@HwM@extended@arrowfill@
+ {\HwM@arrowfill@cleaders{#1}{#2}{#3}{#4}{#5}}%
+}
+\newcommand*\HwM@arrowfill@cleaders[7]{%
+ % #1, #2, and #3 are the three characters
+ % #4 and #5 are the two additional macros (both with 2 arguments)
+ % #6 is style selector (e.g., "\displaystyle")
+ % #7 is font selector (e.g., "\textfont")
+ #4#6#7%
+ \relax #1\mkern-7mu%
+ \cleaders\hbox{$#6\mkern-2mu#2\mkern-2mu$}\hskip\@HwM@arrowfill@skip
+ \mkern-7mu#3\relax
+ #5#6#7%
+}
+\newcommand*\@HwM@rightbroomfill@Wwac@{%
+ \@HwM@set@right@dir
+ \@HwM@enriched@arrowfill@ \ni\relbar\relbar
+ \@gobbletwo
+ \@HwM@right@add@witch@cat
+ \@ne
+}
+\newcommand*\@HwM@right@add@witch@cat[2]{%
+ \hskip -\glueexpr \@HwM@arrowfill@skip/\tw@ \relax
+ \@HwM@Small@Witch@Wo@Broom #2%
+ \if@HwM@cat@
+ \hskip \glueexpr \@HwM@arrowfill@skip/4 \relax
+ \@HwM@Small@Cat@On@Hori@Broom #2%
+ \hskip \glueexpr \@HwM@arrowfill@skip/4 \relax
+ \else
+ \hskip \glueexpr \@HwM@arrowfill@skip/\tw@ \relax
+ \fi
+}%
+\newcommand*\@HwM@leftbroomfill@Wwac@{%
+ \@HwM@set@left@dir
+ \@HwM@enriched@arrowfill@ \relbar\relbar\in
+ \@HwM@left@add@witch@cat
+ \@gobbletwo
+ \@ne
+}
+\newcommand*\@HwM@left@add@witch@cat[2]{%
+ \if@HwM@cat@
+ \hskip \glueexpr \@HwM@arrowfill@skip/4 \relax
+ \@HwM@Small@Cat@On@Hori@Broom #2%
+ \hskip \glueexpr \@HwM@arrowfill@skip/4 \relax
+ \else
+ \hskip \glueexpr \@HwM@arrowfill@skip/\tw@ \relax
+ \fi
+ \@HwM@Small@Witch@Wo@Broom #2%
+ \hskip -\glueexpr \@HwM@arrowfill@skip/\tw@ \relax
+}
+\newcommand*\@HwM@init@swish@dimens[1]{%
+ \dimen4 \glueexpr \fontdimen 22 #1\tw@ *\tw@/\thr@@
+ \dimen6 .25\@HwM@thickness@units@for #1%
+ \dimen@ \dimen4
+ \@HwM@calc@swish@thickness
+}
+\newcommand*\@HwM@calc@swish@thickness{%
+ \dimen@ii -\dimen@
+ \advance \dimen@ii \dimen6
+}
+\newcommand*\@HwM@swish@leaders{%
+ \leaders \hrule \@height\dimen@ \@depth\dimen@ii \hskip
+}
+\newcommand*\@HwM@right@ghost@swish[2]{%
+ \@HwM@init@swish@dimens #2%
+ \hskip \glueexpr \@HwM@arrowfill@skip/4\relax
+ \@HwM@swish@leaders \glueexpr \@HwM@arrowfill@skip/4\relax
+ \hskip \glueexpr \@HwM@arrowfill@skip/8\relax
+ \@HwM@swish@leaders \glueexpr \@HwM@arrowfill@skip*\thr@@/8\relax
+ \hskip -\@HwM@arrowfill@skip
+ \advance \dimen@ \dimen4
+ \@HwM@calc@swish@thickness
+ \@HwM@swish@leaders \glueexpr \@HwM@arrowfill@skip*\thr@@/4 \relax
+ \hskip \glueexpr \@HwM@arrowfill@skip/8\relax
+ \@HwM@swish@leaders
+ \glueexpr \@HwM@arrowfill@skip/8+\dimen4 /\tw@ \relax
+ \hskip -\glueexpr \@HwM@arrowfill@skip/\tw@ \relax
+ \advance \dimen@ \dimen4
+ \@HwM@calc@swish@thickness
+ \@HwM@swish@leaders
+ \glueexpr \@HwM@arrowfill@skip/\tw@ +\dimen4 /\tw@ \relax
+ \kern -\dimen4
+ \mathrightghost
+}
+\newcommand*\@HwM@left@ghost@swish[2]{%
+ \mathleftghost
+ \@HwM@init@swish@dimens #2%
+ \@HwM@swish@leaders \glueexpr \@HwM@arrowfill@skip*\thr@@/8\relax
+ \hskip \glueexpr \@HwM@arrowfill@skip/8\relax
+ \@HwM@swish@leaders \glueexpr \@HwM@arrowfill@skip/4\relax
+ \hskip -\glueexpr \@HwM@arrowfill@skip*\thr@@/4+\dimen4 /\tw@ \relax
+ \advance \dimen@ \dimen4
+ \@HwM@calc@swish@thickness
+ \@HwM@swish@leaders
+ \glueexpr \@HwM@arrowfill@skip/8+\dimen4 /\tw@\relax
+ \hskip \glueexpr \@HwM@arrowfill@skip/8\relax
+ \@HwM@swish@leaders \glueexpr \@HwM@arrowfill@skip*\thr@@/4\relax
+ \hskip -\glueexpr \@HwM@arrowfill@skip +\dimen4 \relax
+ \advance \dimen@ \dimen4
+ \@HwM@calc@swish@thickness
+ \@HwM@swish@leaders
+ \glueexpr \@HwM@arrowfill@skip/\tw@ +\dimen4 /\tw@ \relax
+ \hskip \glueexpr \@HwM@arrowfill@skip/\tw@ +\dimen4 /\tw@ \relax
+}
+\newcommand*\@HwM@rightghostfill@{%
+ \@HwM@extended@arrowfill@ \@HwM@right@ghost@swish {.5}%
+}
+\newcommand*\@HwM@leftghostfill@{%
+ \@HwM@extended@arrowfill@ \@HwM@left@ghost@swish {.5}%
+}
+
+% three versions of "\mathpalette" adapted to our needs:
+\newcommand*\@HwM@dblstyle@mathpalette[2]{%
+ % Works like "\mathpalette", but macro passed in #1 must take
+ % (at least) three arguments, of which the first _two_ are
+ % style selections.
+ \mathchoice
+ {#1\displaystyle \scriptstyle {#2}}%
+ {#1\textstyle \scriptstyle {#2}}%
+ {#1\scriptstyle \scriptscriptstyle {#2}}%
+ {#1\scriptscriptstyle \scriptscriptstyle {#2}}%
+}
+\newcommand*\@HwM@variable@mathpalette[2]{%
+ \mathchoice
+ {#1}%
+ {#2\textstyle \textfont }%
+ {#2\scriptstyle \scriptfont }%
+ {#2\scriptscriptstyle \scriptscriptfont}%
+}
+\newcommand*\@HwM@constant@mathpalette[1]{%
+ \mathchoice
+ {#1\displaystyle \textfont }%
+ {#1\textstyle \textfont }%
+ {#1\scriptstyle \scriptfont }%
+ {#1\scriptscriptstyle \scriptscriptfont}%
+}
+
+% General calls:
+\newcommand*\@HwM@general@large@operator[2]{%
+ \mathop{%
+ \@HwM@variable@mathpalette{#1}{#2}%
+ }\slimits@
+}
+\newcommand*\@HwM@general@inner@symbol[2]{%
+ \mathinner{%
+ \@HwM@variable@mathpalette{#1}{#2}%
+ }%
+}
+\newcommand*\@HwM@general@binary@operation[1]{%
+ \mathbin{%
+ \@HwM@constant@mathpalette{#1}%
+ }%
+}
+\newcommand*\@HwM@general@ordinary@symbol[1]{%
+ \mathord{%
+ \@HwM@constant@mathpalette{#1}%
+ }%
+}
+\newcommand*\@HwM@ifstar@cat[1]{%
+ \@ifstar
+ {\@HwM@cat@true #1}%
+ {\@HwM@cat@false #1}%
+}
+
+%
+% User-level commands:
+\newcommand*\mathwitch{%
+ \DOTSB
+ \@HwM@set@right@dir
+ \@HwM@ifstar@cat{\@HwM@mathwitch lr}%
+}
+\newcommand*\reversemathwitch{%
+ \DOTSB
+ \@HwM@set@left@dir
+ \@HwM@ifstar@cat{\@HwM@mathwitch rl}%
+}
+\newcommand*\@HwM@mathwitch[2]{%
+ \@HwM@general@large@operator {\@HwM@Large@Witch #1#2}\@HwM@Small@Witch
+}
+
+\newcommand*\pumpkin{%
+ \DOTSB
+ \@HwM@general@binary@operation \@HwM@Oplus@Pumpkin
+}
+\newcommand*\bigpumpkin{%
+ \DOTSB
+ \@HwM@general@large@operator \@HwM@Large@Pumpkin \@HwM@Small@Pumpkin
+}
+\@ifdefinable\greatpumpkin{\let\greatpumpkin=\bigpumpkin}
+
+\newcommand*\mathcloud {\@HwM@set@right@dir \@HwM@mathcloud}
+\newcommand*\reversemathcloud{\@HwM@set@left@dir \@HwM@mathcloud}
+\newcommand*\@HwM@mathcloud{%
+ \@HwM@general@inner@symbol \@HwM@Large@Cloud \@HwM@Small@Cloud
+}
+
+\newcommand*\mathghost{%
+ \@HwM@general@ordinary@symbol \@HwM@Symmetric@Ghost
+}
+\newcommand*\mathrightghost{\@HwM@set@right@dir \@HwM@mathghost}
+\newcommand*\mathleftghost {\@HwM@set@left@dir \@HwM@mathghost}
+\newcommand*\@HwM@mathghost{%
+ \@HwM@general@ordinary@symbol \@HwM@Asymmetric@Ghost
+}
+%
+% Accents.
+\newcommand*\@HwM@dblstyle@overarrow@[4]{%
+ % #1 := stretchable covering arrow
+ % #2 := base style
+ % #3 := style for covering arrow
+ % #4 := base symbol
+ \vbox{\ialign{##\crcr
+ #1#3\crcr
+ \noalign{\nointerlineskip}%
+ $\m@th\hfil #2#4\hfil$\crcr
+ }}%
+}
+\newcommand*\@HwM@dblstyle@underarrow@[4]{%
+ % #1 := stretchable underlying arrow
+ % #2 := base style
+ % #3 := style for underlying arrow
+ % #4 := base symbol
+ \vtop{\ialign{##\crcr
+ $\m@th\hfil #2#4\hfil$\crcr
+ \noalign{\nointerlineskip \kern\ex@}%
+ #1#3\crcr
+ }}%
+}
+\newcommand*\@HwM@general@ou@w@cat[1]{%
+ \@HwM@ifstar@cat{\@HwM@dblstyle@mathpalette{#1}}%
+}
+\newcommand*\overrightwitchonbroom{%
+ \@HwM@general@ou@w@cat
+ {\@HwM@dblstyle@overarrow@ \@HwM@rightbroomfill@Wwac@}%
+}
+\newcommand*\overleftwitchonbroom{%
+ \@HwM@general@ou@w@cat
+ {\@HwM@dblstyle@overarrow@ \@HwM@leftbroomfill@Wwac@}%
+}
+\newcommand*\overrightswishingghost{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@overarrow@ \@HwM@rightghostfill@}%
+}
+\newcommand*\overleftswishingghost{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@overarrow@ \@HwM@leftghostfill@}%
+}
+\newcommand*\underrightwitchonbroom{%
+ \@HwM@general@ou@w@cat
+ {\@HwM@dblstyle@underarrow@ \@HwM@rightbroomfill@Wwac@}%
+}
+\newcommand*\underleftwitchonbroom{%
+ \@HwM@general@ou@w@cat
+ {\@HwM@dblstyle@underarrow@ \@HwM@leftbroomfill@Wwac@}%
+}
+\newcommand*\underrightswishingghost{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@underarrow@ \@HwM@rightghostfill@}%
+}
+\newcommand*\underleftswishingghost{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@underarrow@ \@HwM@leftghostfill@}%
+}
+%
+% The script version of standard over/under arrows.
+\newcommand*\overscriptrightarrow{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@overarrow@ \rightarrowfill@}%
+}
+\newcommand*\overscriptleftarrow{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@overarrow@ \leftarrowfill@}%
+}
+\newcommand*\overscriptleftrightarrow{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@overarrow@ \leftrightarrowfill@}%
+}
+\newcommand*\underscriptrightarrow{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@underarrow@ \rightarrowfill@}%
+}
+\newcommand*\underscriptleftarrow{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@underarrow@ \leftarrowfill@}%
+}
+\newcommand*\underscriptleftrightarrow{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@underarrow@ \leftrightarrowfill@}%
+}
+%
+% Extensible "arrow-like" symbols.
+\newcommand*\@HwM@ext@arrow@w@cat[5]{%
+ \def\@HwM@tempa{\ext@arrow {#1}{#2}{#3}{#4}{#5}}%
+ \@HwM@ifstar@cat{\@HwM@ext@arrow@w@cat@x}%
+}
+\newcommand*\@HwM@ext@arrow@w@cat@x[2][]{%
+ \@HwM@tempa {#1}{#2}%
+}
+\newcommand*\xrightwitchonbroom{%
+ \@HwM@ext@arrow@w@cat 9395\@HwM@rightbroomfill@Wwac@%
+}
+\newcommand*\xleftwitchonbroom{%
+ \@HwM@ext@arrow@w@cat 3959\@HwM@leftbroomfill@Wwac@%
+}
+\newcommand*\xrightswishingghost[2][]{%
+ \ext@arrow 3{12}5{15}\@HwM@rightghostfill@{#1}{#2}%
+}
+\newcommand*\xleftswishingghost[2][]{%
+ \ext@arrow {12}3{15}5\@HwM@leftghostfill@{#1}{#2}%
+}
+% \end{macrocode}
+%
+% End of the module for the \packlass{\halloweenmath} package.
+% \begin{macrocode}
+%</halloweenmath>
+% \end{macrocode}
+%
+% \section{End of input}
+%
+% The usual "\endinput" which prevents the \DS\ program from putting
+% garbage into the generated files.
+% \begin{macrocode}
+\endinput
+% \end{macrocode}
+%
+% \Finale
+%