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-rw-r--r--Master/texmf-dist/source/latex/halloweenmath/halloweenmath.dtx3256
1 files changed, 3048 insertions, 208 deletions
diff --git a/Master/texmf-dist/source/latex/halloweenmath/halloweenmath.dtx b/Master/texmf-dist/source/latex/halloweenmath/halloweenmath.dtx
index 5b36bece28b..8826f1aa900 100644
--- a/Master/texmf-dist/source/latex/halloweenmath/halloweenmath.dtx
+++ b/Master/texmf-dist/source/latex/halloweenmath/halloweenmath.dtx
@@ -32,14 +32,23 @@
% \fi
%
% \def\filename{halloweenmath.dtx}
-% \def\fileversion{0.01}
-% \def\filedate{2017/01/06}
-% \def\docdate {2017/01/06}
-% \def\doclongdate{January~6, 2017}
+% \def\fileversion{0.10}
+% \def\filedate{2017/04/16}
+% \def\docdate {2017/04/16}
+% \def\doclongdate{April~16, 2017}
%
-% ^^A \CheckSum{13}
+% \CheckSum{2259}
%
% \changes{0.01}{2017 Jan 06}{First writing of the code}
+% \changes{0.10}{2017 Apr 16}{Changed the look of the broom in the extensible
+% ``arrow-like'' symbols, but retained the old one in newly added pitchforks}
+% \changes{0.10}{2017 Apr 16}{Added bats (ordinary symbols and extensible
+% ``arrow-like'' series)}
+% \changes{0.10}{2017 Apr 16}{Added skulls (binary operators and ``large''
+% operators)}
+% \changes{0.10}{2017 Apr 16}{Added ``unwitched'' extensible brooms and
+% pitchforks}
+% \changes{0.10}{2017 Apr 16}{Added ``Boo'' options}
%
%% \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
@@ -68,6 +77,7 @@
% \DoNotIndex{\expandafter,\do,\relax,\advance,\multiply,\divide}
% \DoNotIndex{\DeclareOption,\ExecuteOptions,\ProcessOptions}
% \DoNotIndex{\",\.,\@}
+% \DoNotIndex{\-,\+}
%
% \IndexPrologue{
% \section{\indexname}
@@ -95,8 +105,18 @@
% \makeatletter
% \newcommand*{\myspecialindex}[2]
% {\special@index{#1\actualchar#2\encapchar main}}
-% \newcommand*{\param}[1]{\(\mbox{\##1}\leftarrow{}\)\>}
+% \newcounter{paramlist}
+% \renewcommand*{\theparamlist}{^^A
+% \ifnum \value{paramlist}>\z@
+% \ifnum \value{paramlist}<10
+% \arabic{paramlist}^^A
+% \else
+% \@ctrerr
+% \fi
+% \fi
+% }
% \newenvironment*{paramlist}{^^A
+% \setcounter{paramlist}\z@
% \@beginparpenalty \@M \relax
% \setlength\topsep{\z@}^^A
% \tabbing
@@ -104,6 +124,28 @@
% }{^^A
% \endtabbing
% }
+% \newcommand*{\param}{^^A
+% \stepcounter{paramlist}^^A
+% \(\mbox{\#\theparamlist}\leftarrow{}\)\>^^A
+% }
+% \newenvironment*{tightitemize}{^^A
+% \itemize
+% \setlength\topsep{\p@ \@plus\p@}^^A
+% \setlength\partopsep{\z@}^^A
+% \setlength\itemsep{\p@}^^A
+% \setlength\parsep{\z@ \@plus\p@}^^A
+% \setlength\parskip{\parsep}^^A
+% \setlength\@topsepadd{\topsep}^^A
+% \setlength\@topsep{\@topsepadd}^^A
+% }{\enditemize}
+% \newcommand{\@no@imp@StopEventually}[1]{#1\endinput}
+% \newcommand*{\IfImplementation}{%
+% \ifx \StopEventually \@no@imp@StopEventually
+% \expandafter\@secondoftwo
+% \else
+% \expandafter\@firstoftwo
+% \fi
+% }
% \makeatother
% \newcommand*{\counterindex}[1]{\myspecialindex{#1}{{\string\ttfamily
% \space #1} (counter)}\index{counters:\levelchar{\protect\ttfamily
@@ -111,19 +153,31 @@
% \newcommand*{\optuseindex}[1]{\SortIndex{#1}{\protect\opt{#1}
% (option)\encapchar usage}\index{options:\levelchar
% \protect\opt{#1}\encapchar usage}}
+% ^^A REMEMBER: "\DeclareTextFontCommand" can be used only in preamble!
% \DeclareRobustCommand*{\packlass}[1]{{\normalfont\sffamily #1}}
-% \DeclareRobustCommand*{\filedir}[1]{{\normalfont\ttfamily #1}}
+% \DeclareRobustCommand*{\filedir} [1]{{\normalfont\ttfamily #1}}
% \DeclareRobustCommand*{\env}[1]{{\normalfont\ttfamily #1}}
-% \DeclareRobustCommand*{\ctr}[1]{{\normalfont\ttfamily #1}}
+% ^^A \DeclareRobustCommand*{\ctr}[]{{\normalfont\ttfamily #1}}
% \DeclareRobustCommand*{\opt}[1]{{\normalfont\ttfamily #1}}
% \newcommand*{\sopt}[1]{\mbox{\opt{#1}}\optuseindex{#1}}
+% \newcommand*{\binvert}{\mathbin{|}}
+% \DeclareRobustCommand*{\TeXSXFullName}{^^A
+% \TeX \kern .13333em --\,\LaTeX\ Stack Exchange^^A
+% }
+% \DeclareRobustCommand*{\TeXSXAbbrev}{\TeX.SX\@}
% \DeclareRobustCommand*{\TeXSXuser}[1]{{\normalfont\sffamily #1}}
+% \DeclareRobustCommand*{\TeXtok}[1]{\mbox{$\langle$#1\/$\rangle$}}
% \newcommand*{\cfr}{\TeXSXuser{cfr}}
+% \newcommand*{\eg}{\emph{e.g.}, } ^^A note the space at the end
%
% \providecommand*{\href}[3][]{#3}
% \providecommand*{\pdfbookmark}[3][]{}
+% \providecommand*{\nolinkurl}[1]{\url{#1}} ^^A if hyperref isn't loades,
+% ^^A hand over to url package
% \providecommand*{\hypersetup}{}
%
+% \addtolength{\marginparwidth}{2pt}
+%
% \newcommand*{\magicstar}[1]{^^A
% \begingroup
% \setlength\unitlength{#1\unitlength}^^A
@@ -156,8 +210,8 @@
% pdfauthor = {G. Mezzetti},
% pdfsubject = {Documentation of the halloweenmath package},
% pdfkeywords = {Halloween, math, scary mathematical symbols},
-% pdfcreationdate = {D:20170106000000},
-% pdfmoddate = {D:20170106000000},
+% pdfcreationdate = {D:20170416000000},
+% pdfmoddate = {D:20170416000000},
% bookmarksopen,
% bookmarksopenlevel = 1
% }
@@ -168,9 +222,9 @@
% \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
+% \href{https://tex.stackexchange.com/}{\emph{\TeXSXFullName}}
+% (see~\cite{bib:cfr}) by the user
+% \href{https://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
@@ -234,7 +288,7 @@
%
% \newpage
% \tableofcontents
-% \listoffigures
+% \IfImplementation{\listoffigures}{}
%
% \newpage
% \begingroup
@@ -311,15 +365,15 @@
% \section{Introduction}
%
% On October~31, 2016, around 3 in the morning (GMT\@), user
-% \href{http://tex.stackexchange.com/users/39222/cfr}{\cfr} asked a
+% \href{https://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'
+% \href{https://tex.stackexchange.com/}{\emph{\TeXSXFullName} 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
@@ -333,7 +387,7 @@
% 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.
+% were re-implemented as a new, stand-alone package. Well, here it is.
%
% In the writing of the package, more features, and creatures, have been
% added. Also available now are:
@@ -351,7 +405,7 @@
% \item
% clouds, for denoting unscrutable subformulas (this one is even sensible!);
% \item
-% and still more.
+% fluttering bats, skulls, and more.
% \end{itemize}
% All the above are available for the \texttt{bold} math version as well as
% for the \texttt{normal} one.
@@ -362,11 +416,11 @@
% 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}
+% \href{https://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
+% \href{https://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}
+% \href{https://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
@@ -376,7 +430,8 @@
% 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
+% witches\ldots\footnote{Indeed, the first version of this package was
+% released on January~6, 2017.}
%
% \subsection{Disclaimer}
%
@@ -410,16 +465,14 @@
% 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.
+% In this release too, alas, I~have to ask to be excused for not having
+% completed the comments in the \emph{Implementation} part. Some~35\% of the
+% code is still uncommented, and, as I~had already said in the
+% \emph{Introduction} to version~0.01, at present I~cannot yet make any
+% reliable guess as to when (or even if!\@) I'll be able to finish the work.
+% It is precisely for this reason that I~decided to release it in this
+% incomplete form, to avoid deferring indefinitely the availability of the
+% new, horrifying features that this version introduces.
%
%
%
@@ -446,8 +499,8 @@
% 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}.
+% commands is not shown here: for this, you are referred to
+% \cite{bib:manual}.
%
% \subsection{Package loading}
%
@@ -469,6 +522,7 @@
% math version, when in force. They can be loosely grouped as follows.
%
% \subsubsection{Pumpkins}
+% \label{ssS:Pumpkins}
%
% \DescribeMacro{\pumpkin}
% \DescribeMacro{\bigpumpkin}
@@ -489,6 +543,7 @@
% "\greatpumpkin" is available as a perfect synonym for "\bigpumpkin".
%
% \subsubsection{Witches, brooms, and black cats}
+% \label{ssS:Witches}
%
% All this arose from a witch.
%
@@ -507,14 +562,30 @@
% \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
+% identical to, \eg "\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{\xrightwitchonpitchfork}
+% \DescribeMacro{\xleftwitchonpitchfork}
+% In version~0.01 of this package, the "\x"$\,*\,$"witchonbroom" commands
+% drew under the witch a ``broom'' that, actually, looked more like a
+% pitchfork (\TeXSXuser{cfr} had already complained about this in
+% \href{https://tex.stackexchange.com/questions/336768/seasonal-challenge-contributions-from-texing-dead-welcome#comment829686_337719}{one
+% of her comments} to my original answer on \TeXSXAbbrev); in the present
+% version this has been corrected, but the output produced by the first
+% version (which I~liked) can still be obtained by means of these two
+% commands, whose name is, indeed, more appropriate to the look of the
+% symbols they yield. Obviously, their syntax remains identical,
+% \emph{e.g.},
+% \begin{flushleft}
+% \cmd{\xleftwitchonpitchfork}\oarg{under text}\marg{over text}
+% \end{flushleft}
+%
% \DescribeMacro{\overrightwitchonbroom}
% \DescribeMacro{\overleftwitchonbroom}
% \DescribeMacro{\underrightwitchonbroom}
@@ -526,12 +597,26 @@
% "\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
+% are similar to, \eg "\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}.}
+% \DescribeMacro{\overrightwitchonpitchfork}
+% \DescribeMacro{\overleftwitchonpitchfork}
+% \DescribeMacro{\underrightwitchonpitchfork}
+% \DescribeMacro{\underleftwitchonpitchfork}
+% Also in this case, the look of the symbols they draw has changed since
+% version~0.01 of this package, but the old shapes have been kept available
+% under different, and more appropriate, names: just use
+% \begin{flushleft}
+% "\overrightwitchonpitchfork "\marg{subformula} \\
+% "\overleftwitchonpitchfork "\marg{subformula} \\
+% "\underrightwitchonpitchfork"\marg{subformula} \\
+% "\underleftwitchonpitchfork "\marg{subformula}
+% \end{flushleft}
+% instead of the above.
%
% \paragraph*{Important note:}
% All the commands described in this subsection have a \mbox{$*$-form} that
@@ -540,7 +625,7 @@
%
% \subsubsection{Ghosts}
%
-% Of course, on Hallowen, ghosts cannot be missing either.
+% Of course, on Halloween, ghosts cannot be missing either.
%
% \DescribeMacro{\mathghost}
% \DescribeMacro{\mathrightghost}
@@ -559,8 +644,8 @@
% "\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.
+% are analogous to, \eg "\xrightarrow", but, in place of the arrow, draw a
+% ghost swishing, respectively, toward the right and toward the left.
%
% \DescribeMacro{\overrightswishingghost}
% \DescribeMacro{\overleftswishingghost}
@@ -574,6 +659,80 @@
% "\underleftswishingghost "\marg{subformula}
% \end{flushleft}
%
+% \subsubsection{Bats}
+%
+% For some people, bats are even more horrifying than ghosts. The
+% \packlass{\halloweenmath} package provides a collection of commands for
+% drawing bat-like symbols that are closely analogous to the ghost-related
+% ones.
+%
+% \DescribeMacro{\mathbat}
+% \DescribeMacro{\mathrightbat}
+% \DescribeMacro{\mathleftbat}
+% You can get an ordinary symbol resembling a bat flying, respectively,
+% toward you, toward the right, and toward the left with the three
+% argumentless commands "\mathbat", "\mathrightbat", and "\mathleftbat". The
+% height of these symbols has intentionally been made pretty small, to
+% facilitate their use in superscripts.
+%
+% \DescribeMacro{\xrightflutteringbat}
+% \DescribeMacro{\xleftflutteringbat}
+% You can get extensible ``arrow-like'' relation symbols that depict a
+% fluttering bat by means of the following constructs:
+% \begin{flushleft}
+% "\xrightflutteringbat"\oarg{under text}\marg{over text} \\
+% "\xleftflutteringbat "\oarg{under text}\marg{over text}
+% \end{flushleft}
+% \DescribeMacro{\overrightflutteringbat}
+% \DescribeMacro{\overleftflutteringbat}
+% \DescribeMacro{\underrightflutteringbat}
+% \DescribeMacro{\underleftflutteringbat}
+% And these are the associated ``over\mbox{-}\slash under-arrow-like''
+% commands:
+% \begin{flushleft}
+% "\overrightflutteringbat "\marg{subformula} \\
+% "\overleftflutteringbat "\marg{subformula} \\
+% "\underrightflutteringbat"\marg{subformula} \\
+% "\underleftflutteringbat "\marg{subformula}
+% \end{flushleft}
+%
+% \DescribeMacro{\overbat}
+% \DescribeMacro{\underbat}
+% There are, finally, two more commands that have no parallel in the
+% collection of ghostly symbols (because ghost are to tall!): they are
+% \begin{flushleft}
+% "\overbat "$*$\marg{subformula} \\
+% "\underbat"$*$\marg{subformula}
+% \end{flushleft}
+% where $*$ indicates an optional "*" denoting, as usual, their
+% \mbox{$*$-form}. These constructs typeset \meta{subformula} respectively
+% surmounted by the bat produced by "\mathbat", or with that symbol
+% underneath. The normal (\emph{i.e.}, unstarred) form pretends that the bat
+% has zero width (but some height), so that, say, "$x+\overbat{y}+z$" has the
+% same horizontal spacing as "$x+y+z$"; if you prefer that the actual width
+% of the bat be taken into account instead, then use the starred variants.
+%
+% \subsubsection{Skulls}
+%
+% \DescribeMacro{\skull}
+% \DescribeMacro{\bigskull}
+% For skulls, I~imagined a r\^{o}le very similar to that of
+% \hyperref[ssS:Pumpkins]{pumpkins}. Indeed, anything that is shaped like a
+% human head reminds me of symbols like "\oplus"~($\oplus$) and
+% "\otimes"~($\otimes$), so that my fantasy immediately goes to a binary
+% operator and its associated ``large'' operator. In this case, we have:
+% \begin{itemize}
+% \item
+% "\skull", which is the binary operator (similar to "\oplus");
+% \item
+% "\bigskull", which is the ``large'' operator (similar to "\bigoplus") and
+% which, like all symbols of this kind, becomes significantly larger in
+% displayed math.
+% \end{itemize}
+% As for all ``large'' operators defined by this package, the
+% [\opt{no}]\opt{sumlimits} options from the \packlass{\amsmath} package
+% affect the "\bigskull" command too.
+%
% \subsubsection{Other symbols}
%
% The \packlass{\halloweenmath} package implements one more symbol that could
@@ -587,8 +746,22 @@
% 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
+% \subsection{More \textquotedblleft arrow-like\textquotedblright\ symbols
+% (these don\textquoteright t scare!)}
+%
+% If designing the first symbol, the "\mathwitch", could be relatively
+% entertaining, the implementation of the other operators and ordinary
+% symbols like "\pumpkin", "\mathghost", "\mathcloud", or "\bigskull" soon
+% became a rather dull and repetitive task, that essentialy consisted of
+% nothing more than placing lots of dots on a grid. The part related to the
+% extensible ``arrow-like'' commands was a bit more amusing, since it
+% involved dealing with at least a few typical \TeX nical aspects. Probably,
+% it was for this reason that this field grew so much in passing from the
+% first release of the package to the second.
+%
+% \subsubsection{Script-style version of standard over\protect\slash under
% arrows}
+% \label{ssS:StandardArrows}
%
% 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}
@@ -615,7 +788,181 @@
% "\underscriptleftrightarrow"\marg{subformula}
% \end{flushleft}
%
-% \section{Installing the \packlass{\halloweenmath} package and generating this manual}
+% \subsubsection{\textquotedblleft Unwitched\textquotedblright\ brooms
+% and pitchforks}
+%
+% In the last years, the use of unmanned aircrafts has become increasingly
+% important, and it has in parallel become more and more common to see flying
+% devices of this kind even across the skies of our cities (just think of
+% drones and of how they tend to be employed ubiquitously for the most
+% heterogeneous kinds of jobs and services). Needless to say, it was
+% inevitable that this aeronautical revolution propagated even to an
+% inherently conservative world like that of sorcery, and it should come as
+% no great surprise to learn that the \packlass{\halloweenmath} package now
+% features ``unwitched'' versions of all the ``arrow-like'' extensible
+% symbols too, both of those that depict brooms and of those which stick to
+% the original pitchfork-like shape. The useful side of these is that the
+% absence of the witch allows for a reduction of the vertical space they take
+% up.
+%
+% \DescribeMacro{\xrightbroom}
+% \DescribeMacro{\xleftbroom}
+% To begin with, we have the extensible ``arrow-like'' relations, those
+% modeled after "\xrightarrow": they are
+% \begin{flushleft}
+% "\xrightbroom"\oarg{under text}\marg{over text} \\
+% "\xleftbroom "\oarg{under text}\marg{over text} \\
+% \end{flushleft}
+% and produce extensible brooms \emph{without} a witch sitting on them.
+% \DescribeMacro{\xrightpitchfork}
+% \DescribeMacro{\xleftpitchfork}
+% The commands
+% \begin{flushleft}
+% "\xrightpitchfork"\oarg{under text}\marg{over text} \\
+% "\xleftpitchfork "\oarg{under text}\marg{over text}
+% \end{flushleft}
+% are almost identical, only they yield pitchforks instead of brooms---or, if
+% you prefer, brooms with the shape that was used in version~0.01 of this
+% package.
+%
+% \DescribeMacro{\rightbroom}
+% \DescribeMacro{\leftbroom}
+% When both the \meta{under text} and the \meta{over text} are void, the
+% "\xrightbroom"\,\ldots\linebreak[0]"\xleftpitchfork" commands yield a
+% symbol that is, on purpose, more or less as large as what "\xrightarrow{}"
+% yields (\emph{i.e.},~$\xrightarrow{}$); but it turns out that such a short
+% broom (or pitchfork) completely lacks the broomstick. For this reason, the
+% two (argumentless) commands "\rightbroom" and "\leftbroom" has been
+% provided too: they typeset a broom the same length of a
+% "\longrightarrow"\slash "\longleftarrow" ($\longrightarrow$\slash
+% $\longleftarrow$).
+% \DescribeMacro{\hmrightpitchfork}
+% \DescribeMacro{\hmleftpitchfork}
+% It would now seem logical to infer that the two companion commands that
+% typeset pitchforks should be named "\rightpitchfork" and "\leftpitchfork";
+% unfortunately, these names already denote two different (albeit vaguely
+% similar) symbols supplied by the \packlass{MnSymbol} package. Because of
+% this potential name clash, we have chosen instead to call them
+% "\hmrightpitchfork" and "\hmleftpitchfork", respectively (the
+% \texttt{hm}~prefix, of course, stands for ``Halloween math'').
+%
+% Before getting to the group of the ``over\mbox{-}\slash under-arrow-like''
+% extensible brooms, a preliminary statement needs to be made. For the
+% ``witched'' version of all these, we had chosen to typeset them in the
+% relative script style associated to the style of the affected subformula.
+% For example, in a construct like
+% \begin{verbatim}$W_{\overrightwitchonbroom{x_{1}+\dots+x_{n}}}$\end{verbatim}
+% the subformula "x_{1}+\dots+x_{n}", argument of the
+% "\overrightwitchonbroom" command, is set in script style, therefore the
+% style applied to the covering broom (and witch) will be the scriptscript
+% style. We already remarked in Subsection~\ref{ssS:StandardArrows} that
+% this is not what the standard ``over\mbox{-}\slash under-arrow'' commands
+% do: instead, they use for the arrow the same style as that in which the
+% argument gets typeset. The reason for this different behavior was that,
+% with the same style of the affected subformula, the witch would have looked
+% too large; but when the witch isn't there, both solutions are viable, and
+% we do provide both.
+%
+% ^^A \paragraph{Brooms\slash pitchforks in the same relative style.}
+% We have, in the first place, a set of commands for placing brooms or
+% pitchforks (a.k.a.\ version-0.01-styled brooms) over or under a subformula,
+% setting them in the same style as the subformula itself.
+% \DescribeMacro{\overrightbroom}
+% \DescribeMacro{\overleftbroom}
+% \DescribeMacro{\underrightbroom}
+% \DescribeMacro{\underleftbroom}
+% There are four ``over\mbox{-}\slash under-arrow-like'' extensible
+% brooms\ldots
+% \begin{flushleft}
+% "\overrightbroom "\marg{subformula} \\
+% "\overleftbroom "\marg{subformula} \\
+% "\underrightbroom"\marg{subformula} \\
+% "\underleftbroom "\marg{subformula}
+% \end{flushleft}
+% \DescribeMacro{\overrightpitchfork}
+% \DescribeMacro{\overleftpitchfork}
+% \DescribeMacro{\underrightpitchfork}
+% \DescribeMacro{\underleftpitchfork}
+% \ldots and four corresponding ``over\mbox{-}\slash under-arrow-like''
+% extensible pitchforks:
+% \begin{flushleft}
+% "\overrightpitchfork "\marg{subformula} \\
+% "\overleftpitchfork "\marg{subformula} \\
+% "\underrightpitchfork"\marg{subformula} \\
+% "\underleftpitchfork "\marg{subformula}
+% \end{flushleft}
+%
+% ^^A \paragraph{Brooms\slash pitchforks in relative script style.}
+% Then, for each of the commands just listed, a corresponding variant is
+% provided that sets the broom, or the pitchfork, in the relative script
+% style of the style applied to \meta{subformula}, and which is named
+% following the same convention we already used for the commands of
+% Subsection~\ref{ssS:StandardArrows}, that is, inserting the "script"
+% substring.
+% \DescribeMacro{\overscriptrightbroom}
+% \DescribeMacro{\overscriptleftbroom}
+% \DescribeMacro{\underscriptrightbroom}
+% \DescribeMacro{\underscriptleftbroom}
+% Thus, again, we find four ``over\mbox{-}\slash under-arrow-like''
+% extensible brooms\ldots
+% \begin{flushleft}
+% "\overscriptrightbroom "\marg{subformula} \\
+% "\overscriptleftbroom "\marg{subformula} \\
+% "\underscriptrightbroom"\marg{subformula} \\
+% "\underscriptleftbroom "\marg{subformula}
+% \end{flushleft}
+% \DescribeMacro{\overscriptrightpitchfork}
+% \DescribeMacro{\overscriptleftpitchfork}
+% \DescribeMacro{\underscriptrightpitchfork}
+% \DescribeMacro{\underscriptleftpitchfork}
+% \ldots and four matching ``over\mbox{-}\slash under-arrow-like'' extensible
+% pitchforks:
+% \begin{flushleft}
+% "\overscriptrightpitchfork "\marg{subformula} \\
+% "\overscriptleftpitchfork "\marg{subformula} \\
+% "\underscriptrightpitchfork"\marg{subformula} \\
+% "\underscriptleftpitchfork "\marg{subformula}
+% \end{flushleft}
+%
+% \paragraph*{Please note:}
+% Since all of the commands listed in this subsection omit the witch, none
+% of them has got a \mbox{$*$-form} for adding a cat (the cat can only go
+% with the witch: no witch, no cat).
+%
+% \subsubsection{Summary of the naming scheme}
+%
+% It is worth noting that the commands for the extensible brooms\slash
+% pitchforks follow a consistent naming scheme: the name is of the form
+% \begin{center}
+% \texttt{\bslash}\meta{x-over-under}\meta{opt-script}^^A
+% \meta{left-right}\meta{opt-witch}\meta{broom-pitchf}
+% \end{center}
+% where
+% \begin{flalign*}
+% \meta{x-over-under} &\longrightarrow
+% \texttt{x}\binvert\texttt{over}\binvert\texttt{under} &
+% \meta{opt-script} &\longrightarrow
+% \meta{empty}\binvert\texttt{script} \\
+% \meta{left-right} &\longrightarrow
+% \texttt{left}\binvert\texttt{right} &
+% \meta{opt-witch} &\longrightarrow
+% \meta{empty}\binvert\texttt{witchon} \\
+% \meta{broom-pitchf} &\longrightarrow
+% \texttt{broom}\binvert\texttt{pitchfork}
+% \end{flalign*}
+% with the constraint that \meta{opt-script} must be \meta{empty} if either \( \meta{x-over-under} =
+% \texttt{x} \) or \( \meta{opt-witch} \neq \meta{empty} \).
+%
+% \section
+% [Installing the pacakge code and documentation]
+% {Installing the package code and documentation\footnote{^^A
+% Recall that you need to read this section only in the unusual case that you
+% have to carry out a manual installation from the sources; normally, you'll
+% be using a prepackaged \TeX\ distribution like
+% \href{https://www.tug.org/texlive/}{\TeX~Live} or
+% \href{https://miktex.org/}{MiK\TeX}, which can automatically manage
+% installation as well as updates.^^A
+% }}
%
% As usual for \LaTeX\ distributions, the \packlass{\halloweenmath}
% package is distributed in the form of a \filedir{.dtx} file,
@@ -636,37 +983,53 @@
% 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
+% \LaTeX\ input directories reserved to contain your personal packages.
+% The accepted TDS-compliant directory where the above file should be put is
% \begin{quote}
-% \texttt{\$TEXMF/tex/latex/halloweenmath/}
+% \filedir{\$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.
+% Please note: 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 it.
%
% \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
+% To produce this documentation, run \LaTeX\ three times (for the ToC to get
+% right) on the file \filedir{\halloweenmath.dtx}. This won't give you the
+% index and the change history, though: for those, you should 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.
+% \filedir{\halloweenmath.glo}, obtained during the last of the aforesaid
+% three \LaTeX\ runs, with styles \filedir{gind.ist} and \filedir{gglo.ist},
+% respectively (which 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.
%
-% 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{The makefile}
+% \label{sS:Makefile}
+%
+% A (quite trivial!\@) makefile, named \filedir{Makefile}, that ``knows'' how
+% to carry out the installation, is offered along with the package. Although
+% it is not a required part of the distribution (as per LPPL\@), you may find
+% that some distributors supply it all the same (I~hope the CTAN\@ sites will
+% do so). With this makefile in the same directory as the two source files
+% \filedir{\filename} and \filedir{\halloweenmath.ins}, the simple shell
+% command, given inside that same directory,
+% \begin{quote}
+% \ttfamily
+% make
+% \end{quote}
+% will \emph{both} extract the code file \emph{and} typeset the full
+% documentation (in~PDF\@). Type
+% \begin{quote}
+% \ttfamily
+% make help
+% \end{quote}
+% for more information.
%
% \subsection{License}
% \label{sS:License}
@@ -742,15 +1105,25 @@
% \bibitem{bib:cfr}
% \emph{Seasonal Challenge (Contributions from \TeX ing Dead
% Welcome)},\\
-% \url{http://tex.stackexchange.com/q/336768/69818}
+% \url{https://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.
+% \emph{User's manual for the \packlass{\halloweenmath} package}, included
+% in the documentation of the \packlass{\halloweenmath} package,\\
+% \href{file:halloweenmath-man.pdf}
+% {\nolinkurl{$TEXMF/doc/latex/halloweenmath/halloweenmath-man.pdf}}
+%
+% \IfImplementation{
+% \bibitem{bib:diffs-m}
+% File \filedir{diffs-m.txt}, which is part of the standard
+% \hologo{AmSLaTeX} distribution,\\
+% \nolinkurl{$TEXMF/doc/latex/amsmath/diffs-m.txt}
+%
+% \bibitem{bib:std}
+% \emph{Why does the \packlass{\amsmath} package define
+% \textnormal{\cs{std@minus}} and \textnormal{\cs{std@equal}}?},\\
+% \url{https://tex.stackexchange.com/q/352043}
+% }{}
%
% \end{thebibliography}
% }
@@ -780,7 +1153,7 @@
% and the packages we require.
% \begin{macrocode}
\documentclass{ltxdoc}
-\usepackage{color,pict2e,hologo}
+\usepackage{amsmath,color,pict2e,hologo}
\usepackage{hypdoc}
% \end{macrocode}
% We now set a few typesetting options.
@@ -847,20 +1220,80 @@
% The usual identification:
% \begin{macrocode}
\ProvidesPackage{halloweenmath}
- [2017/01/06 v0.01 (development)]
+ [2017/04/16 v0.10 (development)]
% \end{macrocode}
%
% \subsection{Initial code}
%
-% This segment is empty in the \packlass{\halloweenmath} package.
+% \begin{macro}{\@HwM@say@BOO}
+% Of course, to make this anything even vaguely resembling an ``Easter egg'',
+% I~should at least pretend to try to obfuscate the code; but too much time
+% has already been wasted on this huge and ridicolous heap of foolishness.
+% \begin{macrocode}
+\newcommand*\@HwM@say@BOO{%
+ \begingroup
+ \escapechar \m@ne
+ \def~{\string\\}%
+ \def\-{\space\space}%
+ \def\+{\space\space\space\space}%
+ \def\={\+\+\+\+}%
+ \def\*{****}%
+ \typeout{}%
+ \typeout{\+ _-==-_ \+ /~/~/~}%
+ \typeout{\+|\-\-\-|\+< BOO! >\+\+\+\today...}%
+ \typeout{\+|(.)(.)|\+/~/~/~/}%
+ \typeout{\++--/~--+\- /\=\*\*\*\*\*\*\*}%
+ \typeout{\+ [::::] __/ \= ... This is HALLOWEENMATH!}%
+ \typeout{\+\-----\-\+\=\*\*\*\*\*\*\*}%
+ \typeout{}%
+ \endgroup
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@opt@say@BOO}
+% Well, at least do not add comments to what is already crystal clear by
+% itself\ldots
+% \begin{macrocode}
+\newcommand*\@HwM@opt@say@BOO{}
+% \end{macrocode}
+% \end{macro}
%
% \subsection{Declaration of options}
%
-% This segment is empty in the \packlass{\halloweenmath} package.
+% Hidden options. Note that they are later processed in the order in which
+% they are declared here.
+% \begin{macrocode}
+\DeclareOption{silent}{%
+ \let \@HwM@opt@say@BOO \@empty
+}
+\DeclareOption{boo}{%
+ \let \@HwM@opt@say@BOO \@HwM@say@BOO
+}
+\DeclareOption{boo-10-31}{%
+ \ifnum\month=10
+ \ifnum\day=31
+ \let \@HwM@opt@say@BOO \@HwM@say@BOO
+ \else
+ \let \@HwM@opt@say@BOO \@empty
+ \fi
+ \else
+ \let \@HwM@opt@say@BOO \@empty
+ \fi
+}
+% \end{macrocode}
%
% \subsection{Option processing}
%
-% This segment is empty in the \packlass{\halloweenmath} package.
+% Note that, at the end, at least we release the memory taken up by this
+% piece of buffoonery.
+% \begin{macrocode}
+\ExecuteOptions{boo-10-31}
+\ProcessOptions\relax
+\@HwM@opt@say@BOO
+\let \@HwM@say@BOO = \@undefined
+\let \@HwM@opt@say@BOO = \@undefined
+% \end{macrocode}
%
% \subsection{Package loading}
%
@@ -938,17 +1371,17 @@
% Customized \env{picture} environment for our ``math pictures'', makes some
% initializations that are always needed (local to its group). Arguments:
% \begin{paramlist}
-% \param{1}
+% \param
% bounding box height, in coordinate units;\\
-% \param{2}
+% \param
% $y$-coordinate of lower left corner of bounding box;\\
-% \param{3}
+% \param
% additional code to be executed during initialization;\\
-% \param{4}
-% font selector (\emph{e.g.}, "\textfont");\\
-% \param{5}
+% \param
+% font selector (\eg "\textfont");\\
+% \param
% bounding box width, in coordinate units;\\
-% \param{6}
+% \param
% $x$-coordinate of lower left corner of bounding box.
% \end{paramlist}
% \begin{macrocode}
@@ -975,13 +1408,29 @@
% \end{macro}
%
% \begin{macro}{\@HwM@oplus@strut}
+% \changes{0.10}{2017 Apr 16}{Corrected bug: the size of the strut used to
+% be that of \cs{bigoplus}}
% Vertical phantom the size of "\oplus". Arguments:
% \begin{paramlist}
-% \param{1}
-% style selector (\emph{e.g.}, "\displaystyle").
+% \param
+% style selector (\eg "\scriptstyle").
% \end{paramlist}
% \begin{macrocode}
\newcommand*\@HwM@oplus@strut[1]{%
+ \@HwM@short@circuited@vphant #1\oplus
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@bigoplus@strut}
+% \changes{0.10}{2017 Apr 16}{Added this macro}
+% Vertical phantom the size of "\bigoplus". Arguments:
+% \begin{paramlist}
+% \param
+% style selector (\eg "\displaystyle").
+% \end{paramlist}
+% \begin{macrocode}
+\newcommand*\@HwM@bigoplus@strut[1]{%
\@HwM@short@circuited@vphant #1\bigoplus@
}
% \end{macrocode}
@@ -1035,6 +1484,28 @@
% \end{macro}
% \end{macro}
%
+% \begin{macro}{\@HwM@bigop@picture}
+% \begin{macro}{\end@HwM@bigop@picture}
+% This is actually a definition of an environment. The environment beign
+% defined, namely \env{@HwM@bigop@picture}, is simply syntactic sugar for a
+% typical invocation of the \env{@HwM@math@picture} environment, for a
+% picture having the vertical size of a "\bigoplus", 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, immediately
+% after the single argument to this environment, which is
+% \begin{paramlist}
+% \param
+% style selector (\eg "\displaystyle").
+% \end{paramlist}
+% \begin{macrocode}
+\newcommand*\@HwM@bigop@picture[1]{%
+ \@HwM@math@picture{0}{-1}{\@HwM@bigoplus@strut #1}%
+}
+\let\end@HwM@bigop@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
@@ -1042,7 +1513,12 @@
% 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.
+% caller must supply the others, \emph{including} argument~\#4, immediately
+% after the single argument to this environment, which is
+% \begin{paramlist}
+% \param
+% style selector (\eg "\scriptstyle").
+% \end{paramlist}
% \begin{macrocode}
\newcommand*\@HwM@oplus@picture[1]{%
\@HwM@math@picture{0}{-1}{\@HwM@oplus@strut #1}%
@@ -1052,6 +1528,44 @@
% \end{macro}
% \end{macro}
%
+% \paragraph*{Comment added in version~0.10:}
+% After all, I~think I'd better recap what the full argument lists for the
+% ``specialized'' math picture environments are.
+%
+% \medskip
+% Full argument list for \env{@HwM@large@picture}:
+% \begin{paramlist}
+% \param
+% bounding box width, in coordinate units;\\
+% \param
+% $x$-coordinate of lower left corner of bounding box.
+% \end{paramlist}
+%
+% \medskip
+% Full argument list for \env{@HwM@small@picture}:
+% \begin{paramlist}
+% \param
+% font selector (\eg "\textfont");\\
+% \param
+% bounding box width, in coordinate units;\\
+% \param
+% $x$-coordinate of lower left corner of bounding box.
+% \end{paramlist}
+%
+% \medskip
+% Full argument list for both \env{@HwM@bigop@picture} and
+% \env{@HwM@oplus@picture}:
+% \begin{paramlist}
+% \param
+% style selector (\eg "\scriptstyle");\\
+% \param
+% font selector (\eg "\scriptfont");\\
+% \param
+% bounding box width, in coordinate units;\\
+% \param
+% $x$-coordinate of lower left corner of bounding box.
+% \end{paramlist}
+%
% \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.
@@ -1060,17 +1574,33 @@
% \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@bold@version@name}
+% In version~0.01 of this package, the definition of the "\@HwM@if@bold@math"
+% macro (see below) used to be
+% \begin{verbatim}\newcommand*\@HwM@if@bold@math{%
+% \def\@tempa{bold}%
+% \ifx\math@version\@tempa
+% \expandafter\@firstoftwo
+% \else
+% \expandafter\@secondoftwo
+% \fi
+%}\end{verbatim}
+% We have now decided to set the comparison string (\texttt{bold}) here, once
+% and for all: this allows the following macro to be purely expandable, a
+% feature we'll now need.
+% \begin{macrocode}
+\newcommand*\@HwM@bold@version@name{bold}
+% \end{macrocode}
+% \end{macro}
%
% \begin{macro}{\@HwM@if@bold@math}
+% \changes{0.10}{2017 Apr 16}{Made purely expandable}
% \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.
+% argument. Now made purely expandable (see above).
% \begin{macrocode}
\newcommand*\@HwM@if@bold@math{%
- \def\@tempa{bold}%
- \ifx\math@version\@tempa
+ \ifx\math@version\@HwM@bold@version@name
\expandafter\@firstoftwo
\else
\expandafter\@secondoftwo
@@ -1080,12 +1610,47 @@
% \end{macro}
%
% \begin{macro}{\@HwM@choose@thicknesses}
-% Shuffles arguments according to the current math version.
+% Shuffles arguments according to the current math version. Now purely
+% expandable.
% \begin{macrocode}
\newcommand*\@HwM@choose@thicknesses[3]{%
\@HwM@if@bold@math{#1#3}{#1#2}
}
% \end{macrocode}
+% The typical use of this macro is as follows: suppose you have a macro
+% \cmd{\CS} with, say, five arguments, and suppose you want to invoke it
+% passing different values for some of the arguments, depending on the
+% current math version; more precisely, let's say that you want the following
+% call to be made
+% \begin{flushleft}
+% \small
+% "\CS{"\meta{fixed-value1}"}{"\meta{fixed-value2}"}{"^^A
+% \meta{bold-value3}"}{"\meta{bold-value4}"}{"^^A
+% \meta{bold-value5}"}"
+% \end{flushleft}
+% if the current math version is \texttt{bold}, but that you want, instead,
+% to call
+% \begin{flushleft}
+% \small
+% "\CS{"\meta{fixed-value1}"}{"\meta{fixed-value2}"}{"^^A
+% \meta{nrml-value3}"}{"\meta{nrml-value4}"}{"^^A
+% \meta{nrml-value5}"}"
+% \end{flushleft}
+% if it is not; then you would say
+% \begin{flushleft}
+% \small
+% "\@HwM@choose@thicknesses{\CS{"\meta{fixed-value1}"}{"^^A
+% \meta{fixed-value2}"}}"\\
+% " {{"\meta{normal-value3}"}{"\meta{normal-value4}"}{"^^A
+% \meta{normal-value5}"}}"\\
+% " {{"\meta{bold-value3}"}{"\meta{bold-value4}"}{"^^A
+% \meta{bold-value5}"}}"
+% \end{flushleft}
+% Note the inner pairs of braces; as usual, they can be omitted if they
+% surround a single token, \emph{e.g.},
+% \begin{verbatim}\@HwM@choose@thicknesses{\CS{FFF1}\textfont}
+% {\thr@@{4.0}{5.0}}
+% {{BBB3}{BBB4}\@empty}\end{verbatim}
% \end{macro}
%
% \begin{macro}{\@HwM@magic@star}
@@ -1105,10 +1670,10 @@
%
% \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
+% depends on the current math version. 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
+% the current version 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
@@ -1253,17 +1818,17 @@
% "\displaystyle"). This is the ``private'' variant, with the following
% parameters:
% \begin{paramlist}
-% \param{1}
+% \param
% "l"~for a right-facing witch, "r"~for a left-facing one;\\
-% \param{2}
+% \param
% "r"~for a right-facing witch, "l"~for a left-facing one;\\
-% \param{3}
-% main drawing thickness, in units of the default-rule-thickness
+% \param
+% main drawing thickn., in units of the default-rule-thickness
% "\fontdimen";\\
-% \param{4}
+% \param
% 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.
+% \param
+% thickness of hair (beard, whiskers), in points~(\texttt{pt}).
% \end{paramlist}
% \begin{macrocode}
\newcommand*\@HwM@large@witch[5]{%
@@ -1293,8 +1858,8 @@
(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)%
+ (\+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:
@@ -1327,9 +1892,9 @@
% \begin{macro}{\@HwM@Large@Witch}
% The ``public'' variant of the above, with the following parameters:
% \begin{paramlist}
-% \param{1}
+% \param
% "l"~for a right-facing witch, "r"~for a left-facing one;\\
-% \param{2}
+% \param
% "r"~for a right-facing witch, "l"~for a left-facing one.
% \end{paramlist}
% \begin{macrocode}
@@ -1349,9 +1914,9 @@
% 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}
+% \param
+% font selector (\eg "\textfont");\\
+% \param
% line thickness for the witch's face, in relative units.
% \end{paramlist}
% \begin{macrocode}
@@ -1383,8 +1948,8 @@
% \begin{macro}{\@HwM@Common@Small@Body}
% The ``public'' variant of the above; parameters:
% \begin{paramlist}
-% \param{1}
-% font selector (\emph{e.g.}, "\textfont").
+% \param
+% font selector (\eg "\textfont").
% \end{paramlist}
% \begin{macrocode}
\newcommand*\@HwM@Common@Small@Body[1]{%
@@ -1394,12 +1959,12 @@
% \end{macro}
%
% \begin{macro}{\@HwM@common@small@cat}
-% Draw the part of the cat that is shared also by the extensible brooms;
+% Draws 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}
+% \param
+% font selector (\eg "\textfont");\\
+% \param
% line thickness for the cat's tail, in relative units.
% \end{paramlist}
% \begin{macrocode}
@@ -1410,7 +1975,8 @@
\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)%
+ \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
}
@@ -1420,8 +1986,8 @@
% \begin{macro}{\@HwM@Common@Small@Cat}
% The ``public'' variant of the above; parameters:
% \begin{paramlist}
-% \param{1}
-% font selector (\emph{e.g.}, "\textfont").
+% \param
+% font selector (\eg "\textfont").
% \end{paramlist}
% \begin{macrocode}
\newcommand*\@HwM@Common@Small@Cat[1]{%
@@ -1435,10 +2001,10 @@
% (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").
+% \param
+% style selector (\eg "\scriptstyle");\\
+% \param
+% font selector (\eg "\scriptfont").
% \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
@@ -1461,40 +2027,189 @@
% \end{macrocode}
% \end{macro}
%
-% \textbf{Uncommented code} starts here.
+% \begin{macro}{\@HwM@Small@Witch@Wo@Broom}
+% Draws the small witch w/o the broom. This one exists only in the
+% ``public'' variant, with the following argument:
+% \begin{paramlist}
+% \param
+% font selector (\eg "\textfont").
+% \end{paramlist}
% \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}%
}
+% \end{macrocode}
+% \end{macro}
%
-% Drawing the cat on a horizontal broomstick:
+% \begin{macro}{\@HwM@Small@Cat@On@Hori@Broom}
+% Draws a small cat on a horizontal broomstick. This one exists only in the
+% ``public'' variant, with the following argument:
+% \begin{paramlist}
+% \param
+% font selector (\eg "\textfont").
+% \end{paramlist}
+% \begin{macrocode}
\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}%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{Drawing the pumpkins}
+%
+% Here we group the macros that take care of drawing the pumpkins.
+% Figure~\ref{fig:pumpkins} shows a sketch of the relevant drawings.
+%
+% \begin{figure}[tp]
+% \newcommand*{\PumpkinSmallMouth}[7]{^^A
+% \polygon*^^A
+% (-#1)(-#2)(-#3)(0,#4)(#3)(#2)(#1)^^A
+% (#5)(#6)(0,#7)(-#6)(-#5)^^A
+% }
+% \newcommand*{\PumpkinLargeMouth}[9]{^^A
+% \polygon*^^A
+% (-#1)(-#2)(-#3)(-#4)(0,#5)(#4)(#3)(#2)(#1)^^A
+% (#6)(#7)(#8)(0,#9)(-#8)(-#7)(-#6)^^A
+% }
+%
+% \centering
+%
+% The binary operator variant:\\*[\medskipamount]
+% \begin{picture}(3.2,4)(-1.6,-2)
+% \linethickness{.1pt}
+% \color{guidelines}
+% \multiput(-2,-2)(1,0){5}{\line(0,1){4}}
+% \multiput(-2,-2)(0,1){5}{\line(1,0){4}}
+% \color{black}
+% \roundcap
+% \linethickness{1.3pt}
+% \Line(-.1,1)(-.15,1.4)(.15,1.4)(.1,1)
+% \Line(-.1,-1)(.1,-1)
+% \newcommand*{\PumpkinProfile}[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}}%
+% }
+% \PumpkinProfile-
+% \PumpkinProfile+
+% \PumpkinSmallMouth{1,-.1}{.7,-.5}{.4,-.4}
+% {-.7}
+% {.6,-.3}{.3,-.2}
+% {-.4}
+% \end{picture}
+%
+% \bigskip\bigskip
+%
+% The small variant:\\*[\medskipamount]
+% \begin{picture}(4.5,4)(-2.25,-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}
+% \roundcap
+% \linethickness{2pt}
+% \Line(-.1,1.5)(-.15,2)(.15,2)(.1,1.5)
+% \Line(-.1,-1.8)(.1,-1.8)
+% \newcommand*{\PumpkinProfile}[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}}%
+% }
+% \PumpkinProfile-
+% \PumpkinProfile+
+% \polygon*(0,.2)(-.2,-.2)(.2,-.2)
+% \PumpkinSmallMouth{1.3,-.3}{.8,-.8}{.5,-.7}
+% {-1}
+% {.7,-.6}{.4,-.5}
+% {-.7}
+% \end{picture}
+%
+% \bigskip\bigskip
+%
+% The large variant:\\*[\medskipamount]
+% \begin{picture}(9,8)(-4.5,-4)
+% \linethickness{.1pt}
+% \color{guidelines}
+% \multiput(-5,-4)(1,0){11}{\line(0,1) {8}}
+% \multiput(-5,-4)(0,1) {9}{\line(1,0){10}}
+% \color{black}
+% \roundcap
+% \linethickness{3pt}
+% \Line(-.15,2.25)(-.3,3)(.3,3)(.15,2.25)
+% \Line(-.15,-2.7)(.15,-2.7)
+% \newcommand*{\PumpkinProfile}[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}}%
+% }
+% \PumpkinProfile-
+% \PumpkinProfile+
+% \polygon*(0,.35)(-.35,-.35)(.35,-.35)
+% \PumpkinLargeMouth{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{picture}
%
-% Pumpkins.
+% \caption{Sketches of the pumpkins}
+% \label{fig:pumpkins}
+% \end{figure}
+%
+% As you can see in figure~\ref{fig:pumpkins}, pumpkins come in three
+% variants: a binary operator and the two versions (both for display and
+% nondisplay math) of a ``large'' operator. Below, the macros for each
+% version are preceded by one or two useful ``subroutines'', that draw some
+% patterns that appear more than once in the picture.
+%
+% \begin{macro}{\@HwM@large@pumpkin@profile}
+% Subroutine that draws the outline of the pumpkin and one eye, for a
+% ``large'' operator in display style. Argument~\#1 is either \texttt{-}
+% or~\texttt{+}, depending on which half of the pumpkin you want to draw.
+% \begin{macrocode}
\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}}%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@large@pumpkin@mouth}
+% This subroutine draws the variant of the mouth that is used by the display
+% version of the ``large'' operator. The parameters are suitable point
+% coordinates.
+% \begin{macrocode}
\newcommand*\@HwM@large@pumpkin@mouth[9]{%
\polygon*%
- % lower lip:
+% \end{macrocode}
+% Lower lip:
+% \begin{macrocode}
(-#1)(-#2)(-#3)(-#4)(0,#5)(#4)(#3)(#2)(#1)%
- % upper lip:
+% \end{macrocode}
+% Upper lip:
+% \begin{macrocode}
(#6)(#7)(#8)(0,#9)(-#8)(-#7)(-#6)%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@large@pumpkin}
+% Private version of the macro that draws the pumpkin correspondng to a
+% ``large'' operator used in display math mode. Argument:
+% \begin{paramlist}
+% \param
+% drawing thickness, in units of the default-rule-thickness "\fontdimen".
+% \end{paramlist}
+% \begin{macrocode}
\newcommand*\@HwM@large@pumpkin[1]{%
- \begin{@HwM@oplus@picture}\displaystyle \textfont {7.5}{-3.75}%
+ \begin{@HwM@bigop@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)%
@@ -1506,27 +2221,69 @@
{-1.5}%
{1.2,-1.1}{.7,-1}{.45,-1.1}%
{-1}%
- \end{@HwM@oplus@picture}%
+ \end{@HwM@bigop@picture}%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@Large@Pumpkin}
+% Public version of the above; requires no parameters.
+% \begin{macrocode}
\newcommand*\@HwM@Large@Pumpkin{%
\@HwM@choose@thicknesses \@HwM@large@pumpkin
{{1.8}}%
{{2.2}}%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@small@pumpkin@profile}
+% Subroutine that draws the outline of the pumpkin and one eye, for a
+% ``large'' operator \emph{not} in display style. Argument~\#1 is either
+% \texttt{-} or~\texttt{+}, depending on which half of the pumpkin you want
+% to draw.
+% \begin{macrocode}
\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}}%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@small@pumpkin@mouth}
+% This subroutine draws the variant of the mouth that is shared between the
+% binary operator and the nondisplay version of the ``large'' operator. The
+% parameters are suitable point coordinates.
+% \begin{macrocode}
\newcommand*\@HwM@small@pumpkin@mouth[7]{%
\polygon*%
- % lower lip:
+% \end{macrocode}
+% Lower lip:
+% \begin{macrocode}
(-#1)(-#2)(-#3)(0,#4)(#3)(#2)(#1)%
- % upper lip:
+% \end{macrocode}
+% Upper lip:
+% \begin{macrocode}
(#5)(#6)(0,#7)(-#6)(-#5)%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@small@pumpkin}
+% Private version of the macro that draws the pumpkin correspondng to a
+% ``large'' operator used in nondisplay math mode. Arguments:
+% \begin{paramlist}
+% \param
+% style selector (\eg "\scriptstyle");\\
+% \param
+% font selector (\eg "\scriptfont");\\
+% \param
+% drawing thickness, in units of the default-rule-thickness "\fontdimen".
+% \end{paramlist}
+% \begin{macrocode}
\newcommand*\@HwM@small@pumpkin[3]{%
- \begin{@HwM@oplus@picture}#1#2{5}{-2.5}%
+ \begin{@HwM@bigop@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)%
@@ -1538,39 +2295,781 @@
{-1}%
{.7,-.6}{.4,-.5}%
{-.7}%
- \end{@HwM@oplus@picture}%
+ \end{@HwM@bigop@picture}%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@Small@Pumpkin}
+% Public version of the above, with the following arguments:
+% \begin{paramlist}
+% \param
+% style selector (\eg "\scriptstyle");\\
+% \param
+% font selector (\eg "\scriptfont").
+% \end{paramlist}
+% \begin{macrocode}
\newcommand*\@HwM@Small@Pumpkin[2]{%
\@HwM@choose@thicknesses{\@HwM@small@pumpkin #1#2}%
{{}}%
{{1.5}}%
}
-\newcommand*\@HwM@oplus@pumpkin@profile[1]{%
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@binop@pumpkin@profile}
+% Subroutine that draws the outline of the pumpkin and one eye, for a binary
+% operator (in whatever style). Argument~\#1 is either \texttt{-}
+% or~\texttt{+}, depending on which half of the pumpkin you want to draw.
+% \begin{macrocode}
+\newcommand*\@HwM@binop@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]{%
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@binop@pumpkin}
+% Private version of the macro that draws the pumpkin correspondng to a
+% binary operator. Arguments:
+% \begin{paramlist}
+% \param
+% style selector (\eg "\textstyle");\\
+% \param
+% font selector (\eg "\textfont");\\
+% \param
+% drawing thickness, in units of the default-rule-thickness "\fontdimen".
+% \end{paramlist}
+% \begin{macrocode}
+\newcommand*\@HwM@binop@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@binop@pumpkin@profile-%
+ \@HwM@binop@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}%
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@Binop@Pumpkin}
+% Public version of the above, with the following arguments:
+% \begin{paramlist}
+% \param
+% style selector (\eg "\textstyle");\\
+% \param
+% font selector (\eg "\textfont").
+% \end{paramlist}
+% \begin{macrocode}
+\newcommand*\@HwM@Binop@Pumpkin[2]{%
+ \@HwM@choose@thicknesses{\@HwM@binop@pumpkin #1#2}%
{{.6}}%
{{1.2}}%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{Drawing the skulls}
+%
+% Now it's the turn of the macros that take care of drawing the skulls.
+% Figure~\ref{fig:skulls} shows a sketch of the relevant drawings.
+%
+% \begin{figure}[tp]
+% \newcommand*{\binaryskullnose}[8]{^^A
+% \moveto(0,-.#1)^^A
+% \curveto(-.#2,-.#1)(-.#3,-.#4)(-.#5,-.#6)^^A
+% \curveto(-.#7,-.#8)(.#7,-.#8)(.#5,-.#6)^^A
+% \curveto(.#3,-.#4)(.#2,-.#1)(0,-.#1)^^A
+% \fillpath
+% }
+% \newcommand*{\semibinaryskullcontour}[1]{^^A
+% \moveto(#1.15,0)^^A
+% \curveto(#1.15,.1)(#1.15,.21)(#1.4,.2)^^A
+% \curveto(#1.6,.19)(#1.69,.1)(#1.7,0)^^A
+% \curveto(#1.71,-.1)(#1.6,-.3)(#1.5,-.3)^^A
+% \curveto(#1.4,-.3)(#1.15,-.2)(#1.15,0)^^A
+% \fillpath
+% \cbezier(0,1.333336)(#11,1.333336)(#11.2,0.5)(#11,0)^^A
+% \cbezier(#11,0)(#11.05,-.9)(#1.5,-.3)(#1.5,-.65)^^A
+% }
+% \newcommand*{\semibinaryskullteeth}[2]{^^A
+% \moveto(#1.5,-.7)^^A
+% \curveto(#1.45,-.6)(#1.4,-.6)(#1.35,-.7)^^A
+% \curveto(#1.4,-1.2)(#1.5,-1.2)(#1.5,-.7)^^A
+% \strokepath
+% \moveto(#1.33,-.7)^^A
+% \curveto(#1.3,-.6)(#1.22,-.6)(#1.19,-.75)^^A
+% \curveto(#1.15,-.9)(#1.38,-.9)(#1.33,-.7)^^A
+% \strokepath
+% \moveto(#1.17,-.75)^^A
+% \curveto(#1.13,-.65)(#1.05,-.62)(#1.02,-.75)^^A
+% \curveto(#2.03,-.95)(#1.22,-.95)(#1.17,-.75)^^A
+% \strokepath
+% }
+%
+% \newcommand*{\semismallskullcontour}[1]{^^A
+% \moveto(#1.225,0)^^A
+% \curveto(#1.225,.15)(#1.225,.315)(#1.6,.3)^^A
+% \curveto(#1.9,.285)(#11.035,.15)(#11.05,0)^^A
+% \curveto(#11.065,-.15)(#1.9,-.45)(#1.75,-.45)^^A
+% \curveto(#1.6,-.45)(#1.225,-.3)(#1.225,0)^^A
+% \fillpath
+% \cbezier(0,2)(#11.5,2)(#11.8,0.75)(#11.5,0)^^A
+% \cbezier(#11.5,0)(#11.575,-1.35)(#1.75,-.45)(#1.75,-1)^^A
+% }
+% \newcommand*{\semismallskulljaw}[1]{^^A
+% \moveto(#11.25,-.9)^^A
+% \curveto(#11.24,-1.2)(#11.2,-1)(#11.1,-1.3)^^A
+% \curveto(#11,-1.6)(#11,-1.8)(#1.75,-1.9)^^A
+% \curveto(0,-2.1)(#1.3,-2)(0,-2)^^A
+% \strokepath
+% }
+% \newcommand*{\semismallskullinnerjaw}[1]{^^A
+% \moveto(#11,-.9)^^A
+% \curveto(#1.9,-1)(#11,-1.5)(#1.75,-1.5)^^A
+% \strokepath
+% }
+% \newcommand*{\semismallskullteeth}[2]{^^A
+% \moveto(#1.75,-1)^^A
+% \curveto(#1.65,-.9)(#1.6,-.9)(#1.5,-1)^^A
+% \curveto(#1.6,-2)(#1.7,-2)(#1.75,-1)^^A
+% \strokepath
+% \moveto(#1.45,-1)^^A
+% \curveto(#1.4,-.9)(#1.3,-.9)(#1.285,-1.05)^^A
+% \curveto(#1.2,-1.35)(#1.6,-1.35)(#1.45,-1)^^A
+% \strokepath
+% \moveto(#1.25,-1.05)^^A
+% \curveto(#1.2,-.9)(#1.04,-.9)(#1.03,-1.05)^^A
+% \curveto(#2.08,-1.4)(#1.35,-1.4)(#1.25,-1.05)^^A
+% \strokepath
+% \moveto(#1.5,-1.5)^^A
+% \curveto(#1.47,-1.65)(#1.35,-1.6)(#1.3,-1.55)^^A
+% \curveto(#1.15,-1.25)(#1.65,-1.25)(#1.5,-1.5)^^A
+% \strokepath
+% \moveto(#1.25,-1.55)^^A
+% \curveto(#1.2,-1.7)(#1.04,-1.7)(#1.03,-1.55)^^A
+% \curveto(#2.1,-1.3)(#1.35,-1.3)(#1.25,-1.55)^^A
+% \strokepath
+% }
+%
+% \newcommand*{\largeskullnose}[9]{^^A
+% \moveto(0,-#1)^^A
+% \curveto(-#2,-#1)(-#3,-#1)(-#4,-#5)^^A
+% \curveto(-#6,-#7)(-#8,-#9)(0,-#9)^^A
+% \curveto(#8,-#9)(#6,-#7)(#4,-#5)^^A
+% \curveto(#3,-#1)(#2,-#1)(0,-#1)^^A
+% \fillpath
+% }
+% \newcommand*{\semilargeskullcontour}[1]{^^A
+% \moveto(#1.3375,0)^^A
+% \curveto(#1.3375,.225)(#1.3375,.4725)(#1.9,.45)^^A
+% \curveto(#11.35,.4275)(#11.5525,.225)(#11.575,0)^^A
+% \curveto(#11.5975,-.225)(#11.35,-.675)(#11.125,-.675)^^A
+% \curveto(#1.9,-.675)(#1.3375,-.45)(#1.3375,0)^^A
+% \fillpath
+% \cbezier(#12,2)(#12.1,1.8)(#12.7,1.125)(#12.25,0)^^A
+% \moveto(#12.24,.1)^^A
+% \curveto(#12.3,-1)(#12,-1.2)(#11.5,-1.2)^^A
+% \curveto(#11.3,-1.2)(#11.125,-1.3)(#11.125,-1.5)^^A
+% \strokepath
+% ^^A Jaw
+% \moveto(#11.875,-1.35)^^A
+% \curveto(#11.86,-1.8)(#11.8,-1.5)(#11.65,-1.95)^^A
+% \curveto(#11.5,-2.4)(#11.5,-2.75)(#11.2,-2.9)^^A
+% \curveto(#1.9,-3.05)(#11,-3.2)(#1.3,-3.1)^^A
+% \strokepath
+% }
+% \newcommand*{\semilargeskullinnerjaw}[1]{^^A
+% \moveto(#11.5,-1.35)^^A
+% \curveto(#11.35,-1.5)(#11.5,-2.25)(#11.125,-2.25)^^A
+% \strokepath
+% }
+% \newcommand*{\semilargeskullteeth}[2]{^^A
+% \moveto(#1.75,-2.25)^^A
+% \curveto(#1.65,-2.5)(#1.55,-2.5)(#1.45,-2.3)^^A
+% \curveto(#1.35,-2.05)(#1.4,-2)(#1.6,-2)^^A
+% \curveto(#1.8,-2)(#1.8,-2.05)(#1.75,-2.25)^^A
+% \strokepath
+% \moveto(#1.35,-2.3)^^A
+% \curveto(#1.25,-2.6)(#1.1,-2.65)(#1.05,-2.3)^^A
+% \curveto(#1.05,-2.05)(0,-2.05)(#1.2,-2.05)^^A
+% \curveto(#1.4,-2.05)(#1.42,-2)(#1.35,-2.3)^^A
+% \strokepath
+% \moveto(#11.12,-1.6)^^A
+% \curveto(#11,-1.3)(#1.9,-1.3)(#1.75,-1.6)^^A
+% \curveto(#11,-3)(#11,-3)(#11.12,-1.5)^^A
+% \strokepath
+% \moveto(#1.7,-1.6)^^A
+% \curveto(#1.6,-1.4)(#1.5,-1.4)(#1.45,-1.65)^^A
+% \curveto(#1.45,-1.85)(#1.4,-1.95)(#1.55,-1.95)^^A
+% \curveto(#1.85,-1.95)(#1.75,-1.75)(#1.7,-1.6)^^A
+% \strokepath
+% \moveto(#1.4,-1.65)^^A
+% \curveto(#1.3,-1.4)(#1.1,-1.4)(#1.05,-1.7)^^A
+% \curveto(#1.05,-1.9)(#2.05,-2)(#1.225,-2)^^A
+% \curveto(#1.5,-2)(#1.45,-1.9)(#1.4,-1.65)
+% \strokepath
+% }
+% \newcommand*{\semilargeskullthinlines}[1]{^^A
+% \moveto(#1.8,.7)^^A
+% \curveto(#1.4,.7)(#1.4,.9)(#1.2,.7)^^A
+% \curveto(#1.1,.6)(#1.2,.4)(#1.2,.3)^^A
+% \strokepath
+% \cbezier(#11.3,.7)(#11.5,.7)(#11.5,.75)(#11.75,.5)^^A
+% }
+%
+% \centering
+%
+% The binary operator variant:\\*[\medskipamount]
+% \begin{picture}(3.2,4)(-1.6,-2)
+% \linethickness{.1pt}
+% \color{guidelines}
+% \multiput(-2,-2)(1,0){5}{\line(0,1){4}}
+% \multiput(-2,-2)(0,1){5}{\line(1,0){4}}
+% \color{black}
+% \roundcap
+% \linethickness{.7pt}
+% \semibinaryskullteeth-+
+% \semibinaryskullteeth+-
+% \linethickness{1.3pt}
+% \binaryskullnose{5}{1}{2}{5}{15}{4}{1}{1}
+% \semibinaryskullcontour-
+% \semibinaryskullcontour+
+% \end{picture}
+%
+% \bigskip\bigskip
+%
+% The small variant:\\*[\medskipamount]
+% \begin{picture}(4,4)(-2,-2)
+% \linethickness{.1pt}
+% \color{guidelines}
+% \multiput(-2,-2)(1,0){5}{\line(0,1){4}}
+% \multiput(-2,-2)(0,1){5}{\line(1,0){4}}
+% \color{black}
+% \roundcap
+% \linethickness{.8pt}
+% \semismallskullteeth-+
+% \semismallskullteeth+-
+% \linethickness{2pt}
+% \binaryskullnose{75}{15}{3}{75}{225}{6}{15}{15}
+% \semismallskullcontour-
+% \semismallskullcontour+
+% \semismallskulljaw-
+% \semismallskulljaw+
+% \linethickness{1.2pt}
+% \semismallskullinnerjaw-
+% \semismallskullinnerjaw+
+% \end{picture}
+%
+% \bigskip\bigskip
+%
+% The large variant:\\*[\medskipamount]
+% \begin{picture}(9,8)(-4.5,-4)
+% \linethickness{.1pt}
+% \color{guidelines}
+% \multiput(-4,-4)(1,0){9}{\line(0,1){8}}
+% \multiput(-4,-4)(0,1){9}{\line(1,0){8}}
+% \color{black}
+% \roundcap
+% \linethickness{1pt}
+% \semilargeskullteeth-+
+% \semilargeskullteeth+-
+% \linethickness{3pt}
+% \largeskullnose
+% {1.125}{.1}{.5}{.3375}{.9}{.147}{.7}{.2}{.4}
+% \cbezier(-2,2)(-1.25,3.5)(1.25,3.5)(2,2)
+% \semilargeskullcontour-
+% \semilargeskullcontour+
+% \cbezier(-.3,-3.1)(0,-3)(0,-3)(.3,-3.1)
+% \linethickness{1.8pt}
+% \semilargeskullinnerjaw-
+% \semilargeskullinnerjaw+
+% \linethickness{.5pt}
+% \semilargeskullthinlines-
+% \semilargeskullthinlines+
+% \end{picture}
+%
+% \caption{Sketches of the skulls}
+% \label{fig:skulls}
+% \end{figure}
+%
+% As you can see in figure~\ref{fig:pumpkins}, skulls too come in three
+% variants: a binary operator and the two versions (both for display and
+% nondisplay math) of a ``large'' operator. Below, the macros for each
+% version are preceded by one or two useful ``subroutines'', that draw some
+% patterns that appear more than once in the picture.
+%
+% \begin{macro}{\@HwM@large@skull@nose}
+% Subroutine that draws the (hole corresponding to the) nose in the variant
+% of the skull that is used for a ``large'' operator typeset in display
+% style. Parameters are suitable points coordinates.
+% \begin{macrocode}
+\newcommand*\@HwM@large@skull@nose[9]{%
+ \moveto(0,-#1)%
+ \curveto(-#2,-#1)(-#3,-#1)(-#4,-#5)%
+ \curveto(-#6,-#7)(-#8,-#9)(0,-#9)%
+ \curveto(#8,-#9)(#6,-#7)(#4,-#5)%
+ \curveto(#3,-#1)(#2,-#1)(0,-#1)%
+ \fillpath
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@large@skull@profile}
+% Subroutine that draws the outline and the outer part of the jaw in the
+% variant of the skull that is used for a ``large'' operator typeset in
+% display style. Argument~\#1 is either \texttt{-} or~\texttt{+}, depending
+% on which half of the skull you want to draw.
+% \begin{macrocode}
+\newcommand*\@HwM@large@skull@profile[1]{%
+ \moveto(#1.3375,0)%
+ \curveto(#1.3375,.225)(#1.3375,.4725)(#1.9,.45)%
+ \curveto(#11.35,.4275)(#11.5525,.225)(#11.575,0)%
+ \curveto(#11.5975,-.225)(#11.35,-.675)(#11.125,-.675)%
+ \curveto(#1.9,-.675)(#1.3375,-.45)(#1.3375,0)%
+ \fillpath
+ \cbezier(#12,2)(#12.1,1.8)(#12.7,1.125)(#12.25,0)%
+ \moveto(#12.24,.1)%
+ \curveto(#12.3,-1)(#12,-1.2)(#11.5,-1.2)%
+ \curveto(#11.3,-1.2)(#11.125,-1.3)(#11.125,-1.5)%
+ \strokepath
+% \end{macrocode}
+% The outer contour of the jaw:
+% \begin{macrocode}
+ \moveto(#11.875,-1.35)%
+ \curveto(#11.86,-1.8)(#11.8,-1.5)(#11.65,-1.95)%
+ \curveto(#11.5,-2.4)(#11.5,-2.75)(#11.2,-2.9)%
+ \curveto(#1.9,-3.05)(#11,-3.2)(#1.3,-3.1)%
+ \strokepath
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@large@skull@innerjaw}
+% Subroutine that draws the inner part of the jaw in the variant of the skull
+% that is used for a ``large'' operator typeset in display style.
+% Argument~\#1 is either \texttt{-} or~\texttt{+}, depending on which half of
+% the skull you want to draw.
+% \begin{macrocode}
+\newcommand*\@HwM@large@skull@innerjaw[1]{%
+ \moveto(#11.5,-1.35)%
+ \curveto(#11.35,-1.5)(#11.5,-2.25)(#11.125,-2.25)%
+ \strokepath
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@large@skull@teeth}
+% Subroutine for drawing the teeth in the variant of the skull that is used
+% for a ``large'' operator typeset in display style. Argument~\#1 is either
+% \texttt{-} or~\texttt{+}, depending on which half of the skull you want to
+% draw; then, argument~\#2 must always be the opposite sign (that is, either
+% \texttt{+} or~\texttt{-}, respectively).
+% \begin{macrocode}
+\newcommand*\@HwM@large@skull@teeth[2]{%
+ \moveto(#1.75,-2.25)%
+ \curveto(#1.65,-2.5)(#1.55,-2.5)(#1.45,-2.3)%
+ \curveto(#1.35,-2.05)(#1.4,-2)(#1.6,-2)%
+ \curveto(#1.8,-2)(#1.8,-2.05)(#1.75,-2.25)%
+ \strokepath
+ \moveto(#1.35,-2.3)%
+ \curveto(#1.25,-2.6)(#1.1,-2.65)(#1.05,-2.3)%
+ \curveto(#1.05,-2.05)(0,-2.05)(#1.2,-2.05)%
+ \curveto(#1.4,-2.05)(#1.42,-2)(#1.35,-2.3)%
+ \strokepath
+ \moveto(#1.7,-1.6)%
+ \curveto(#1.6,-1.4)(#1.5,-1.4)(#1.45,-1.65)%
+ \curveto(#1.45,-1.85)(#1.4,-1.95)(#1.55,-1.95)%
+ \curveto(#1.85,-1.95)(#1.75,-1.75)(#1.7,-1.6)%
+ \strokepath
+ \moveto(#11.12,-1.6)%
+ \curveto(#11,-1.3)(#1.9,-1.3)(#1.75,-1.6)%
+ \curveto(#11,-3)(#11,-3)(#11.12,-1.5)%
+ \strokepath
+ \moveto(#1.4,-1.65)%
+ \curveto(#1.3,-1.4)(#1.1,-1.4)(#1.05,-1.7)%
+ \curveto(#1.05,-1.9)(#2.05,-2)(#1.225,-2)%
+ \curveto(#1.5,-2)(#1.45,-1.9)(#1.4,-1.65)
+ \strokepath
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@large@skull@brows}
+% Subroutine for drawing the brows in the variant of the skull that is used
+% for a ``large'' operator typeset in display style. Argument~\#1 is either
+% \texttt{-} or~\texttt{+}, depending on which half of the skull you want to
+% draw.
+% \begin{macrocode}
+\newcommand*\@HwM@large@skull@brows[1]{%
+ \moveto(#1.8,.7)%
+ \curveto(#1.4,.7)(#1.4,.9)(#1.2,.7)%
+ \curveto(#1.1,.6)(#1.2,.4)(#1.2,.3)%
+ \strokepath
+ \cbezier(#11.3,.7)(#11.5,.7)(#11.5,.75)(#11.75,.5)%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% Admittedly, not all these subroutines were actually needed; but I~wrote the
+% code this way when I~dashed off the skethces, and I~was too lazy to
+% streamline it afterwards, when copying it to this package!
+%
+% \begin{macro}{\@HwM@large@skull}
+% Private version of the macro that draws the skull correspondng to a
+% ``large'' operator used in display math mode. Arguments:
+% \begin{paramlist}
+% \param
+% main drawing thickn., in units of the default-rule-thickness
+% "\fontdimen";\\
+% \param
+% line thickness for drawing the inner of the jaw, in the same units;\\
+% \param
+% line thickness for drawing the teeth, in the same units;\\
+% \param
+% line thickness for drawing the brows, in points~(\texttt{pt}).
+% \end{paramlist}
+% \begin{macrocode}
+\newcommand*\@HwM@large@skull[4]{%
+ \begin{@HwM@bigop@picture}\displaystyle \textfont {6}{-3}%
+ \roundcap
+ \linethickness{#3\@HwM@thickness@units@for \textfont}%
+ \@HwM@large@skull@teeth-+%
+ \@HwM@large@skull@teeth+-%
+ \linethickness{#1\@HwM@thickness@units@for \textfont}%
+ \@HwM@large@skull@nose
+ {1.125}{.1}{.5}{.3375}{.9}{.147}{.7}{.2}{.4}%
+ \cbezier(-2,2)(-1.25,3.5)(1.25,3.5)(2,2)%
+ \@HwM@large@skull@profile-%
+ \@HwM@large@skull@profile+%
+ \cbezier(-.3,-3.1)(0,-3)(0,-3)(.3,-3.1)%
+ \linethickness{#2\@HwM@thickness@units@for \textfont}%
+ \@HwM@large@skull@innerjaw-%
+ \@HwM@large@skull@innerjaw+%
+ \linethickness{#4\p@}%
+ \@HwM@large@skull@brows-%
+ \@HwM@large@skull@brows+%
+ \end{@HwM@bigop@picture}%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@Large@Skull}
+% Public version of the above; requires no parameters.
+% \begin{macrocode}
+\newcommand*\@HwM@Large@Skull{%
+ \@HwM@choose@thicknesses \@HwM@large@skull
+ {{1.5}{.9}{.3}{.075}}%
+ {{2}{1.2}{.4}{.1}}%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@small@skull@nose}
+% Subroutine that draws the (hole corresponding to the) variant of the nose
+% that is shared between the binary operator and the nondisplay version of
+% the ``large'' operator. The parameters are suitable point coordinates.
+% \begin{macrocode}
+\newcommand*\@HwM@small@skull@nose[8]{%
+ \moveto(0,-.#1)%
+ \curveto(-.#2,-.#1)(-.#3,-.#4)(-.#5,-.#6)%
+ \curveto(-.#7,-.#8)(.#7,-.#8)(.#5,-.#6)%
+ \curveto(.#3,-.#4)(.#2,-.#1)(0,-.#1)%
+ \fillpath
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@small@skull@profile}
+% Subroutine that draws the outline and the outer part of the jaw in the
+% variant of the skull that is used for a ``large'' operator typeset in
+% \emph{non}-display style. Argument~\#1 is either \texttt{-} or~\texttt{+},
+% depending on which half of the skull you want to draw.
+% \begin{macrocode}
+\newcommand*\@HwM@small@skull@profile[1]{%
+ \moveto(#1.225,0)%
+ \curveto(#1.225,.15)(#1.225,.315)(#1.6,.3)%
+ \curveto(#1.9,.285)(#11.035,.15)(#11.05,0)%
+ \curveto(#11.065,-.15)(#1.9,-.45)(#1.75,-.45)%
+ \curveto(#1.6,-.45)(#1.225,-.3)(#1.225,0)%
+ \fillpath
+ \cbezier(0,2)(#11.5,2)(#11.8,0.75)(#11.5,0)%
+ \cbezier(#11.5,0)(#11.575,-1.35)(#1.75,-.45)(#1.75,-1)%
+% \end{macrocode}
+% The outer contour of the jaw:
+% \begin{macrocode}
+ \moveto(#11.25,-.9)%
+ \curveto(#11.24,-1.2)(#11.2,-1)(#11.1,-1.3)%
+ \curveto(#11,-1.6)(#11,-1.8)(#1.75,-1.9)%
+ \curveto(0,-2.1)(#1.3,-2)(0,-2)%
+ \strokepath
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@small@skull@innerjaw}
+% Subroutine that draws the inner part of the jaw in the variant of the skull
+% that is used for a ``large'' operator typeset in display style.
+% Argument~\#1 is either \texttt{-} or~\texttt{+}, depending on which half of
+% the skull you want to draw.
+% \begin{macrocode}
+\newcommand*\@HwM@small@skull@innerjaw[1]{%
+ \moveto(#11,-.9)%
+ \curveto(#1.9,-1)(#11,-1.5)(#1.75,-1.5)%
+ \strokepath
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@small@skull@teeth}
+% Subroutine for drawing the teeth in the variant of the skull that is used
+% for a ``large'' operator which gets typeset in \emph{non}-display style.
+% Argument~\#1 is either \texttt{-} or~\texttt{+}, depending on which half of
+% the skull you want to draw; then, argument~\#2 must always be the opposite
+% sign (that is, either \texttt{+} or~\texttt{-}, respectively).
+% \begin{macrocode}
+\newcommand*\@HwM@small@skull@teeth[2]{%
+ \moveto(#1.5,-1.5)%
+ \curveto(#1.47,-1.65)(#1.35,-1.6)(#1.3,-1.55)%
+ \curveto(#1.15,-1.25)(#1.65,-1.25)(#1.5,-1.5)%
+ \strokepath
+ \moveto(#1.25,-1.55)%
+ \curveto(#1.2,-1.7)(#1.04,-1.7)(#1.03,-1.55)%
+ \curveto(#2.1,-1.3)(#1.35,-1.3)(#1.25,-1.55)%
+ \strokepath
+ \moveto(#1.45,-1)%
+ \curveto(#1.4,-.9)(#1.3,-.9)(#1.285,-1.05)%
+ \curveto(#1.2,-1.35)(#1.6,-1.35)(#1.45,-1)%
+ \strokepath
+ \moveto(#1.75,-1)%
+ \curveto(#1.65,-.9)(#1.6,-.9)(#1.5,-1)%
+ \curveto(#1.6,-2)(#1.7,-2)(#1.75,-1)%
+ \strokepath
+ \moveto(#1.25,-1.05)%
+ \curveto(#1.2,-.9)(#1.04,-.9)(#1.03,-1.05)%
+ \curveto(#2.08,-1.4)(#1.35,-1.4)(#1.25,-1.05)%
+ \strokepath
+}
+% \end{macrocode}
+% \end{macro}
+%
+% The same remark, as the one we made above, about the redundancy of these
+% subroutines (and about my laziness!\@) applies here.
+%
+% \begin{macro}{\@HwM@small@skull}
+% Private version of the macro that draws the skull correspondng to a
+% ``large'' operator used in \emph{non}-display math mode. Arguments:
+% \begin{paramlist}
+% \param
+% style selector (\eg "\scriptstyle");\\
+% \param
+% font selector (\eg "\scriptfont");\\
+% \param
+% main drawing thickn., in units of the default-rule-thickness
+% "\fontdimen";\\
+% \param
+% line thickness for drawing the inner of the jaw, in the same units;\\
+% \param
+% line thickness for drawing the teeth, in the same units.
+% \end{paramlist}
+% \begin{macrocode}
+\newcommand*\@HwM@small@skull[5]{%
+ \begin{@HwM@bigop@picture}#1#2{3.48}{-1.74}%
+ \roundcap
+ \linethickness{#5\@HwM@thickness@units@for #2}%
+ \@HwM@small@skull@teeth-+%
+ \@HwM@small@skull@teeth+-%
+ \linethickness{#3\@HwM@thickness@units@for #2}%
+ \@HwM@small@skull@nose{75}{15}{3}{75}{225}{6}{15}{15}%
+ \@HwM@small@skull@profile-%
+ \@HwM@small@skull@profile+%
+ \linethickness{#4\@HwM@thickness@units@for #2}%
+ \@HwM@small@skull@innerjaw-%
+ \@HwM@small@skull@innerjaw+%
+ \end{@HwM@bigop@picture}%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@Small@Skull}
+% Public version of the above, with the following arguments:
+% \begin{paramlist}
+% \param
+% style selector (\eg "\scriptstyle");\\
+% \param
+% font selector (\eg "\scriptfont").
+% \end{paramlist}
+% \begin{macrocode}
+\newcommand*\@HwM@Small@Skull[2]{%
+ \@HwM@choose@thicknesses{\@HwM@small@skull #1#2}%
+ {{}{.6}{.25}}%
+ {{1.333333}{.7}{.3}}%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@binop@skull@profile}
+% Subroutine that draws the outline of the variant of the skull that is used
+% for a binary operator (in whatever style). Argument~\#1 is either
+% \texttt{-} or~\texttt{+}, depending on which half of the skull you want to
+% draw.
+% \begin{macrocode}
+\newcommand*\@HwM@binop@skull@profile[1]{%
+ \moveto(#1.15,0)%
+ \curveto(#1.15,.1)(#1.15,.21)(#1.4,.2)%
+ \curveto(#1.6,.19)(#1.69,.1)(#1.7,0)%
+ \curveto(#1.71,-.1)(#1.6,-.3)(#1.5,-.3)%
+ \curveto(#1.4,-.3)(#1.15,-.2)(#1.15,0)%
+ \fillpath
+ \cbezier(0,1.333336)(#11,1.333336)(#11.2,0.5)(#11,0)%
+ \cbezier(#11,0)(#11.05,-.9)(#1.5,-.3)(#1.5,-.65)%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@binop@skull@teeth}
+% Subroutine for drawing the teeth in the variant of the skull that is used
+% for a binary operator. Argument~\#1 is either \texttt{-} or~\texttt{+},
+% depending on which half of the skull you want to draw; then, argument~\#2
+% must always be the opposite sign (that is, either \texttt{+} or~\texttt{-},
+% respectively).
+% \begin{macrocode}
+\newcommand*\@HwM@binop@skull@teeth[2]{%
+ \moveto(#1.33,-.7)%
+ \curveto(#1.3,-.6)(#1.22,-.6)(#1.19,-.75)%
+ \curveto(#1.15,-.9)(#1.38,-.9)(#1.33,-.7)%
+ \strokepath
+ \moveto(#1.5,-.7)%
+ \curveto(#1.45,-.6)(#1.4,-.6)(#1.35,-.7)%
+ \curveto(#1.4,-1.2)(#1.5,-1.2)(#1.5,-.7)%
+ \strokepath
+ \moveto(#1.17,-.75)%
+ \curveto(#1.13,-.65)(#1.05,-.62)(#1.02,-.75)%
+ \curveto(#2.03,-.95)(#1.22,-.95)(#1.17,-.75)%
+ \strokepath
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@binop@skull}
+% Private version of the macro that draws the skull for a binary operator.
+% Arguments:
+% \begin{paramlist}
+% \param
+% style selector (\eg "\textstyle");\\
+% \param
+% font selector (\eg "\textfont");\\
+% \param
+% main drawing thickn., in units of the default-rule-thickness
+% "\fontdimen";\\
+% \param
+% line thickness for drawing the teeth, in the same units.
+% \end{paramlist}
+% \begin{macrocode}
+\newcommand*\@HwM@binop@skull[4]{%
+ \begin{@HwM@oplus@picture}#1#2{2.48}{-1.24}%
+ \roundcap
+ \linethickness{#4\@HwM@thickness@units@for #2}%
+ \@HwM@binop@skull@teeth-+%
+ \@HwM@binop@skull@teeth+-%
+ \linethickness{#3\@HwM@thickness@units@for #2}%
+ \@HwM@small@skull@nose{5}{1}{2}{5}{15}{4}{1}{1}%
+ \@HwM@binop@skull@profile-%
+ \@HwM@binop@skull@profile+%
+ \end{@HwM@oplus@picture}%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@Binop@Skull}
+% Public version of the above, with the following arguments:
+% \begin{paramlist}
+% \param
+% style selector (\eg "\scriptstyle");\\
+% \param
+% font selector (\eg "\scriptfont").
+% \end{paramlist}
+% \begin{macrocode}
+\newcommand*\@HwM@Binop@Skull[2]{%
+ \@HwM@choose@thicknesses{\@HwM@binop@skull #1#2}%
+ {{.6}{.2}}%
+ {{.9}{.266667}}%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{Drawing the clouds}
+%
+% Clouds are relatively simple to deal with: they are treated similarly to
+% fractions, in that they are typeset in a larger version, used only for
+% "\displaystyle" math, and in a smaller one, used in all the other cases.
+% Figure~\ref{fig:cloud} sketches both variants.
+%
+% \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{1.5pt}
+% \roundcap
+% \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{picture}
+%
+% \bigskip\bigskip\bigskip
%
-% Clouds.
+% 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{2pt}
+% \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{picture}
+%
+% \caption{Sketches of the cloud}
+% \label{fig:cloud}
+% \end{figure}
+%
+% By good fortune, clouds do not require any subroutine\ldots
+%
+% \begin{macro}{\@HwM@large@cloud}
+% This is the private version of the macro that draws the larger cloud.
+% Argument:
+% \begin{paramlist}
+% \param
+% drawing thickness, in units of the default-rule-thickness "\fontdimen".
+% \end{paramlist}
+% \begin{macrocode}
\newcommand*\@HwM@large@cloud[1]{%
\begin{@HwM@large@picture}{12}{-6}%
\roundcap
@@ -1587,11 +3086,30 @@
\cbezier(\-3.4,-2)(\-5.5,-2)(\-6.5,-.5)(\-5,0)%
\end{@HwM@large@picture}%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@Large@Cloud}
+% Public version of the above; requires no parameters.
+% \begin{macrocode}
\newcommand*\@HwM@Large@Cloud{%
\@HwM@choose@thicknesses \@HwM@large@cloud
{{.8}}%
{{1.6}}%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@small@cloud}
+% Private version of the macro that draws the smaller cloud (which has a
+% little fewer details than the larger one). Arguments:
+% \begin{paramlist}
+% \param
+% font selector (\eg "\scriptfont");\\
+% \param
+% drawing thickness, in units of the default-rule-thickness "\fontdimen".
+% \end{paramlist}
+% \begin{macrocode}
\newcommand*\@HwM@small@cloud[2]{%
\begin{@HwM@small@picture}#1{6}{-3}%
\roundcap
@@ -1606,13 +3124,119 @@
\cbezier(\-1.7,-1)(\-2.75,-1)(\-3.25,-.25)(\-2.5,0)%
\end{@HwM@small@picture}%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@Small@Cloud}
+% Public version of the above. Arguments:
+% \begin{paramlist}
+% \param
+% style selector (\eg "\scriptstyle");\\
+% \param
+% font selector (\eg "\scriptfont").
+% \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@Cloud[2]{%
\@HwM@choose@thicknesses{\@HwM@small@cloud #2}%
{{.5}}%
{{1.2}}%
}
+% \end{macrocode}
+% \end{macro}
+%
+% That's all: as we promised, this has been a quick one!
+%
+% \subsubsection{Drawing the ghosts}
+%
+% For ghosts, I~imagined a r\^{o}le as ordinary symbols, and nothing else;
+% therefore, they exist in only one size, but, in return, they can be seen
+% from three different views (left, front, and right), as
+% figure~\ref{fig:ghosts} depicts. From the implementation viewpoint, only
+% two variants need to be defined: a ``symmetric ghost'', that corresponds to
+% the front view, and an ``asymmetric ghost'', which yields the left and the
+% right views through the same mechanism that toggles, for example, between
+% the straight and the reverse witch.
+%
+% \begin{figure}[tp]
+% \newcommand*{\SymmetricGhostContour}[8]{^^A
+% \cbezier(-#1,#2)(-#3,#4)(-#3,#5)(-#3,#6)^^A
+% \Line(-#3,#6)(-#3,#7)^^A
+% \cbezier(#1,#2)(#3,#4)(#3,#5)(#3,#6)^^A
+% \Line(#3,#6)(#3,#7)^^A
+% \cbezier(-#3,#7)(-#3,#8)(#3,#8)(#3,#7)^^A
+% }
+% \newcommand*{\SymmetricGhostBorder}[8]{^^A
+% \cbezier(-#1,#2)(-#3,#4)(-#5,#6)(-#7,#2)^^A
+% \qbezier(-#7,#2)(0,#8)(#7,#2)^^A
+% \cbezier(#1,#2)(#3,#4)(#5,#6)(#7,#2)^^A
+% }
+% \newcommand*{\SymmetricGhostEyes}[3]{^^A
+% \put(-#1,#2){\circle*{#3}}^^A
+% \put(#1,#2){\circle*{#3}}^^A
+% }
+% \newcommand*{\AsymmetricGhost}[2]{^^A
+% \roundcap
+% \linethickness{1.5pt}^^A
+% \cbezier(#11.75,-1.5)(#11,-1)(#1.7,-.5)(#1.5,0)^^A
+% \cbezier(#1.5,0)(#1.3,.5)(0,1.6)(#21,1.6)^^A
+% \cbezier(#21,1.6)(#21.8,1.6)(#21.8,.9)(#21.8,.6)^^A
+% \cbezier(#21.8,.6)(#21.8,-.3)(#2.9,-.7)(#21.25,-1.5)^^A
+% \linethickness{1pt}^^A
+% \cbezier(#11.75,-1.5)(#11.4,-1.2)(#11.1,-1.8)(#1.75,-1.5)^^A
+% \cbezier(#1.75,-1.5)(#1.4,-1.2)(#1.1,-1.8)(#2.25,-1.5)^^A
+% \cbezier(#2.25,-1.5)(#2.6,-1.2)(#2.9,-1.8)(#21.25,-1.5)^^A
+% \put(#21.2,.7){\circle*{.4}}^^A
+% }
%
-% Ghosts.
+% \centering
+% \addtolength\leftskip {-2cm}
+% \addtolength\rightskip{-2cm}
+%
+% Only the small variant is defined:\\*[\bigskipamount]
+% \begin{picture}(4,4)(-2,-2)
+% \linethickness{.1pt}
+% \color{guidelines}
+% \multiput(-2,-2)(1,0){5}{\line(0,1){4}}
+% \multiput(-2,-2)(0,1){5}{\line(1,0){4}}
+% \color{black}
+% \AsymmetricGhost+-
+% \end{picture}\qquad
+% \begin{picture}(4,4)(-2,-2)
+% \linethickness{.1pt}
+% \color{guidelines}
+% \multiput(-2,-2)(1,0){5}{\line(0,1){4}}
+% \multiput(-2,-2)(0,1){5}{\line(1,0){4}}
+% \color{black}
+% \roundcap
+% \linethickness{1.5pt}
+% \SymmetricGhostContour{1.5}{-1.5}{1}{-1}{-.5}{0}{.5}{2}
+% \linethickness{1pt}
+% \SymmetricGhostBorder{1.5}{-1.5}{1.1}{-1.1}{.7}{-1.9}{.3}{-1.2}
+% \SymmetricGhostEyes{.4}{.7}{.4}
+% \end{picture}\qquad
+% \begin{picture}(4,4)(-2,-2)
+% \linethickness{.1pt}
+% \color{guidelines}
+% \multiput(-2,-2)(1,0){5}{\line(0,1){4}}
+% \multiput(-2,-2)(0,1){5}{\line(1,0){4}}
+% \color{black}
+% \AsymmetricGhost-+
+% \end{picture}\par
+%
+% \caption{Sketches of the ghosts}
+% \label{fig:ghosts}
+% \end{figure}
+%
+% For ghosts, again, we do have some subroutines; and, again, some of these
+% could actually be inserted inline.
+%
+% \begin{macro}{\@HwM@symm@ghost@contour}
+% Subroutine that draws the thicker part of a symmetric ghost's contour.
+% Parameters are suitable point coordinates.
+% \begin{macrocode}
\newcommand*\@HwM@symm@ghost@contour[8]{%
\cbezier(-#1,#2)(-#3,#4)(-#3,#5)(-#3,#6)%
\Line(-#3,#6)(-#3,#7)%
@@ -1620,15 +3244,44 @@
\Line(#3,#6)(#3,#7)%
\cbezier(-#3,#7)(-#3,#8)(#3,#8)(#3,#7)%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@symm@ghost@border}
+% Subroutine that draws the lower border of a symmetric ghost's sheet (the
+% thinner part of its contour). Parameters are suitable point coordinates.
+% \begin{macrocode}
\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)%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@symm@ghost@eyes}
+% Subroutine that draws the eyes of a symmetric ghost. The parameters are
+% self-explanatory.
+% \begin{macrocode}
\newcommand*\@HwM@symm@ghost@eyes[3]{%
\put(-#1,#2){\circle*{#3}}%
\put(#1,#2){\circle*{#3}}%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@symmetric@ghost}
+% Private version of the macro that draws the symmetric ghost. Arguments:
+% \begin{paramlist}
+% \param
+% font selector (\eg "\textfont");\\
+% \param
+% contour thickness, in units of the default-rule-thickness
+% "\fontdimen";\\
+% \param
+% lower border thickness, in the same units.
+% \end{paramlist}
+% \begin{macrocode}
\newcommand*\@HwM@symmetric@ghost[3]{%
\begin{@HwM@math@picture}{2.6}{-1}%
{\@HwM@d@pict@strut{.6}}#1{3.2}{-1.6}%
@@ -1640,11 +3293,41 @@
\@HwM@symm@ghost@eyes{.4}{.7}{.4}%
\end{@HwM@math@picture}%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@Symmetric@Ghost}
+% Public version of the above. Arguments:
+% \begin{paramlist}
+% \param
+% style selector (\eg "\textstyle");\\
+% \param
+% font selector (\eg "\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@Symmetric@Ghost[2]{%
\@HwM@choose@thicknesses{\@HwM@symmetric@ghost #2}%
{{.9}{.6}}%
{{1.8}{1.2}}%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@asymmetric@ghost}
+% Private version of the macro that draws the asymmetric ghost. Arguments:
+% \begin{paramlist}
+% \param
+% font selector (\eg "\textfont");\\
+% \param
+% contour thickness, in units of the default-rule-thickness
+% "\fontdimen";\\
+% \param
+% lower border thickness, in the same units.
+% \end{paramlist}
+% \begin{macrocode}
\newcommand*\@HwM@asymmetric@ghost[3]{%
\begin{@HwM@math@picture}{2.6}{-1}%
{\@HwM@d@pict@strut{.6}}#1{3.8}%
@@ -1662,19 +3345,753 @@
\put(\+1.2,.7){\circle*{.4}}%
\end{@HwM@math@picture}%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@Asymmetric@Ghost}
+% Public version of the above. Arguments:
+% \begin{paramlist}
+% \param
+% style selector (\eg "\textstyle");\\
+% \param
+% font selector (\eg "\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@Asymmetric@Ghost[2]{%
\@HwM@choose@thicknesses{\@HwM@asymmetric@ghost #2}%
{{.9}{.6}}%
{{1.8}{1.2}}%
}
-
-% Extensible arrow-like symbols.
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{Drawing the bats}
+%
+% We've finally got to the last of our characters (at least for this
+% version): the bat. Bats are rendered as filled, as opposed to stroked,
+% black shapes, and therefore it is impossible to differentiate the normal
+% and the bold version by changing the thickness of the strokes (because
+% there aren't any): the shape itself needs to be made slightly larger.
+% Besides this, as in the case of ghosts we have designed a ``symmetric'' bat
+% and an ``asymmetric'' one, where the latter can be drawn in two opposite
+% orientations: this makes a total of six possible variants, which are
+% portrayed in figures \ref{fig:s-bats} and~\ref{fig:a-bats}. The reference
+% lines help you spot the differences between the bold and the normal
+% versions.
+%
+% \begin{figure}[tp]
+% \newcommand*{\BatWing}[1]{^^A
+% \moveto(#1.7,0)^^A
+% \curveto(#11.5,.1)(#12.2,.5)(#12,1)^^A
+% \curveto(#12.5,.5)(#12.9,0)(#12.9,-.5)^^A
+% \curveto(#12.8,0)(#12,-.5)(#12.25,-1)^^A
+% \curveto(#12,-.5)(#11.7,-.3)(#11.5,-.7)^^A
+% \curveto(#11.4,-.5)(#11.2,-.3)(#11,-.5)^^A
+% \curveto(#1.9,-.4)(#1.7,-.4)(#1.5,-.5)^^A
+% \closepath
+% \fillpath
+% }
+% \newcommand*{\BoldBatWing}[1]{^^A
+% \moveto(#1.7,.1)^^A
+% \curveto(#11.5,.2)(#12.25,.6)(#12,1.1)^^A
+% \curveto(#12.6,.5)(#13,0)(#13,-.6)^^A
+% \curveto(#12.8,0)(#12,-.6)(#12.25,-1.1)^^A
+% \curveto(#12,-.6)(#11.7,-.4)(#11.5,-.8)^^A
+% \curveto(#11.4,-.6)(#11.2,-.4)(#11,-.6)^^A
+% \curveto(#1.9,-.5)(#1.7,-.5)(#1.5,-.5)^^A
+% \closepath
+% \fillpath
+% }
+%
+% \newcommand*{\Bat}{^^A
+% \moveto(-.5,-.5)^^A
+% \curveto(-.4,-.6)(-.2,-.7)(-.2,-1)^^A
+% \curveto(-.1,-.7)(.1,-.7)(.2,-1)^^A
+% \curveto(.2,-.7)(.4,-.6)(.5,-.5)^^A
+% \closepath
+% \fillpath
+% \BatWing-^^A
+% \BatWing+^^A
+% \moveto(.5,0)^^A
+% \circlearc{.35}{0}{.15}{0}{180}^^A
+% \lineto(-.2,0)^^A
+% \circlearc{-.35}{0}{.15}{0}{180}^^A
+% \lineto(-.75,0)^^A
+% \curveto(-.75,.45)(-.7,.5)(-.5,1)^^A
+% \circlearc{0}{1}{.5}{180}{360}^^A
+% \curveto(.7,.5)(.75,.45)(.75,0)^^A
+% \closepath
+% \fillpath
+% \moveto(-.75,0)^^A
+% \circlearc{0}{0}{.75}{180}{360}^^A
+% \lineto(.5,0)^^A
+% \circlearc{.35}{0}{.15}{360}{180}^^A
+% \lineto(-.2,0)^^A
+% \circlearc{-.35}{0}{.15}{360}{180}^^A
+% \closepath
+% \fillpath
+% }
+% \newcommand*{\BoldBat}{^^A
+% \moveto(-.6,-.5)^^A
+% \curveto(-.5,-.6)(-.3,-.7)(-.3,-1.1)^^A
+% \curveto(-.1,-.7)(.1,-.7)(.3,-1.1)^^A
+% \curveto(.3,-.7)(.5,-.6)(.6,-.5)^^A
+% \closepath
+% \fillpath
+% \BoldBatWing-^^A
+% \BoldBatWing+^^A
+% \moveto(.5,0)^^A
+% \circlearc{.35}{0}{.15}{0}{180}^^A
+% \lineto(-.2,0)^^A
+% \circlearc{-.35}{0}{.15}{0}{180}^^A
+% \lineto(-.8,0)^^A
+% \curveto(-.8,.5)(-.7,.5)(-.55,1.1)^^A
+% \circlearc{0}{1.1}{.55}{180}{360}^^A
+% \curveto(.7,.5)(.8,.5)(.8,0)^^A
+% \closepath
+% \fillpath
+% \moveto(-.8,0)^^A
+% \circlearc{0}{0}{.8}{180}{360}^^A
+% \lineto(.5,0)^^A
+% \circlearc{.35}{0}{.15}{360}{180}^^A
+% \lineto(-.2,0)^^A
+% \circlearc{-.35}{0}{.15}{360}{180}^^A
+% \closepath
+% \fillpath
+% }
+%
+% \centering
+%
+% The symmetric bat,
+% in the \texttt{normal}\ldots\\*[\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}
+% \Bat
+% \end{picture}
+%
+% \bigskip\bigskip\bigskip
+%
+% \ldots and in the \texttt{bold} math version.\\*[\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}
+% \BoldBat
+% \end{picture}
+%
+% \caption{Sketches of the symmetric bats}
+% \label{fig:s-bats}
+% \end{figure}
+%
+% \begin{figure}[tp]
+% \newcommand*{\AsymmBat}{^^A
+% \moveto(\-.5,.2)^^A
+% \curveto(\-1.5,.3)(\-2.2,.5)(\-1.8,1)^^A
+% \curveto(\-2.5,.5)(\-2.9,0)(\-2.9,-.5)^^A
+% \curveto(\-2.7,0)(\-2,-.25)(\-2,-.8)^^A
+% \curveto(\-2,-.5)(\-1.6,-.25)(\-1.4,-.5)^^A
+% \curveto(\-1.4,-.2)(\-1.2,-.1)(\-1,-.3)^^A
+% \curveto(\-1,-.1)(\-.7,-.1)(\-.6,-.1)^^A
+% \closepath
+% \fillpath
+% \moveto(\+.9,0)^^A
+% \curveto(\+2,-.1)(\+2.2,.5)(\+2,.7)^^A
+% \curveto(\+2.5,.6)(\+3.2,0)(\+2.9,-.7)^^A
+% \curveto(\+2.6,-.2)(\+2,-.5)(\+2,-1)^^A
+% \curveto(\+2,-.5)(\+1.7,-.4)(\+1.5,-.7)^^A
+% \curveto(\+1.6,-.4)(\+1.3,-.2)(\+1.1,-.5)^^A
+% \curveto(\+1.1,-.3)(\+1,-.3)(\+.8,-.3)^^A
+% \closepath
+% \fillpath
+% \moveto(\+.8,-.1)^^A
+% \curveto(\+.85,.08)(\+.65,.13)(\+.6,-.05)^^A
+% \lineto(\+.3,0)^^A
+% \curveto(\+.35,.2)(\+.05,.3)(0,.1)^^A
+% \lineto(\-.8,0)^^A
+% \curveto(\-.7,.3)(\-.4,.7)(\+.25,1)^^A
+% \curveto(\+.2,.4)(\+.8,.3)(\+1,.9)^^A
+% \curveto(\+1.1,.7)(\+1.1,.2)(\+1,0)^^A
+% \closepath
+% \fillpath
+% \moveto(\+.8,-.1)^^A
+% \curveto(\+.75,-.28)(\+.55,-.23)(\+.6,-.05)^^A
+% \lineto(\+.3,0)^^A
+% \curveto(\+.25,-.18)(\-.05,-.08)(0,.1)^^A
+% \lineto(\-.8,0)^^A
+% \curveto(\-.9,-.3)(\-.8,-.6)(\-1,-.9)^^A
+% \curveto(\-.8,-.6)(\-.4,-.7)(\-.6,-1)^^A
+% \curveto(\-.2,-.8)(\+.2,-.82)(\+.3,-.8)^^A
+% \curveto(\+.85,-.69)(\+.99,-.02)(\+1,0)^^A
+% \closepath
+% \fillpath
+% }
+% \newcommand*{\BoldAsymmBat}{^^A
+% \moveto(\-.5,.3)^^A
+% \curveto(\-1.5,.4)(\-2.2,.6)(\-1.9,1.1)^^A
+% \curveto(\-2.6,.6)(\-3,0)(\-3,-.6)^^A
+% \curveto(\-2.6,-.1)(\-2,-.4)(\-2,-.9)^^A
+% \curveto(\-2,-.6)(\-1.6,-.35)(\-1.4,-.6)^^A
+% \curveto(\-1.4,-.3)(\-1.2,-.2)(\-1,-.4)^^A
+% \curveto(\-1,-.2)(\-.7,-.2)(\-.6,-.2)^^A
+% \closepath
+% \fillpath
+% \moveto(\+.9,.1)^^A
+% \curveto(\+1.8,0)(\+2.3,.3)(\+2.1,.8)^^A
+% \curveto(\+2.6,.7)(\+3.3,-.1)(\+3,-.8)^^A
+% \curveto(\+2.7,-.3)(\+2,-.6)(\+2,-1.1)^^A
+% \curveto(\+2,-.6)(\+1.7,-.5)(\+1.5,-.8)^^A
+% \curveto(\+1.6,-.5)(\+1.3,-.3)(\+1.1,-.6)^^A
+% \curveto(\+1.1,-.4)(\+1,-.4)(\+.8,-.4)^^A
+% \closepath
+% \fillpath
+% \moveto(\+.8,-.1)^^A
+% \curveto(\+.85,.08)(\+.65,.13)(\+.6,-.05)^^A
+% \lineto(\+.3,0)^^A
+% \curveto(\+.35,.2)(\+.05,.3)(0,.1)^^A
+% \lineto(\-.85,0)^^A
+% \curveto(\-.75,.3)(\-.4,.7)(\+.25,1.1)^^A
+% \curveto(\+.2,.55)(\+.8,.45)(\+1,1)^^A
+% \curveto(\+1.1,.8)(\+1.2,.2)(\+1.05,0)^^A
+% \closepath
+% \fillpath
+% \moveto(\+.8,-.1)^^A
+% \curveto(\+.75,-.28)(\+.55,-.23)(\+.6,-.05)^^A
+% \lineto(\+.3,0)^^A
+% \curveto(\+.25,-.18)(\-.05,-.08)(0,.1)^^A
+% \lineto(\-.85,0)^^A
+% \curveto(\-.95,-.3)(\-.8,-.6)(\-1,-1)^^A
+% \curveto(\-.75,-.7)(\-.4,-.8)(\-.5,-1.1)^^A
+% \curveto(\-.2,-.8)(\+.2,-.82)(\+.3,-.8)^^A
+% \curveto(\+.85,-.69)(\+1.04,-.0133333)(\+1.05,0)^^A
+% \closepath
+% \fillpath
+% }
+%
+% \centering
+% \addtolength\leftskip {-2cm}
+% \addtolength\rightskip{-2cm}
+%
+% The asymmetric bat,
+% in the \texttt{normal}\ldots\\*[\bigskipamount]
+% \begin{picture}(6,4)(-3,-2)
+% \def\+{-}
+% \def\-{+}
+% \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}
+% \AsymmBat
+% \end{picture}\qquad
+% \begin{picture}(6,4)(-3,-2)
+% \def\+{+}
+% \def\-{-}
+% \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}
+% \AsymmBat
+% \end{picture}
+%
+% \bigskip\bigskip\bigskip
+%
+% \ldots and in the \texttt{bold} math version.\\*[\bigskipamount]
+% \begin{picture}(6,4)(-3,-2)
+% \def\+{-}
+% \def\-{+}
+% \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}
+% \BoldAsymmBat
+% \end{picture}\qquad
+% \begin{picture}(6,4)(-3,-2)
+% \def\+{+}
+% \def\-{-}
+% \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}
+% \BoldAsymmBat
+% \end{picture}
+%
+% \caption{Sketches of the asymmetric bats}
+% \label{fig:a-bats}
+% \end{figure}
+%
+% \begin{macro}{\@HwM@symmetric@bat@wing}
+% Subroutine that draws the wing of a symmetric, normal (that is, not bold)
+% bat. Argument~\#1 is either \texttt{-} or~\texttt{+}, depending on which
+% wing you want to draw.
+% \begin{macrocode}
+\newcommand*\@HwM@symmetric@bat@wing[1]{%
+ \moveto(#1.7,0)%
+ \curveto(#11.5,.1)(#12.2,.5)(#12,1)%
+ \curveto(#12.5,.5)(#12.9,0)(#12.9,-.5)%
+ \curveto(#12.8,0)(#12,-.5)(#12.25,-1)%
+ \curveto(#12,-.5)(#11.7,-.3)(#11.5,-.7)%
+ \curveto(#11.4,-.5)(#11.2,-.3)(#11,-.5)%
+ \curveto(#1.9,-.4)(#1.7,-.4)(#1.5,-.5)%
+ \closepath
+ \fillpath
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@symmetric@bbat@wing}
+% Subroutine that draws the wing of a symmetric, bold bat (note the
+% additional~\texttt{b}). Argument~\#1 is either \texttt{-} or~\texttt{+},
+% depending on which wing you want to draw.
+% \begin{macrocode}
+\newcommand*\@HwM@symmetric@bbat@wing[1]{%
+ \moveto(#1.7,.1)%
+ \curveto(#11.5,.2)(#12.25,.6)(#12,1.1)%
+ \curveto(#12.6,.5)(#13,0)(#13,-.6)%
+ \curveto(#12.8,0)(#12,-.6)(#12.25,-1.1)%
+ \curveto(#12,-.6)(#11.7,-.4)(#11.5,-.8)%
+ \curveto(#11.4,-.6)(#11.2,-.4)(#11,-.6)%
+ \curveto(#1.9,-.5)(#1.7,-.5)(#1.5,-.5)%
+ \closepath
+ \fillpath
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@symmetric@bat}
+% Macro that draws the symmetric, normal (that is, not bold) bat. Argument:
+% \begin{paramlist}
+% \param
+% font selector (\eg "\textfont").
+% \end{paramlist}
+% \begin{macrocode}
+\newcommand*\@HwM@symmetric@bat[1]{%
+ \begin{@HwM@math@picture}{2}{-1}{}#1{6}{-3}%
+ \moveto(-.5,-.5)%
+ \curveto(-.4,-.6)(-.2,-.7)(-.2,-1)%
+ \curveto(-.1,-.7)(.1,-.7)(.2,-1)%
+ \curveto(.2,-.7)(.4,-.6)(.5,-.5)%
+ \closepath
+ \fillpath
+ \@HwM@symmetric@bat@wing-%
+ \@HwM@symmetric@bat@wing+%
+ \moveto(.5,0)%
+ \circlearc{.35}{0}{.15}{0}{180}%
+ \lineto(-.2,0)%
+ \circlearc{-.35}{0}{.15}{0}{180}%
+ \lineto(-.75,0)%
+ \curveto(-.75,.45)(-.7,.5)(-.5,1)%
+ \circlearc{0}{1}{.5}{180}{360}%
+ \curveto(.7,.5)(.75,.45)(.75,0)%
+ \closepath
+ \fillpath
+ \moveto(-.75,0)%
+ \circlearc{0}{0}{.75}{180}{360}%
+ \lineto(.5,0)%
+ \circlearc{.35}{0}{.15}{360}{180}%
+ \lineto(-.2,0)%
+ \circlearc{-.35}{0}{.15}{360}{180}%
+ \closepath
+ \fillpath
+ \end{@HwM@math@picture}%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@symmetric@bold@bat}
+% Macro that draws the symmetric, bold bat. Argument:
+% \begin{paramlist}
+% \param
+% font selector (\eg "\textfont").
+% \end{paramlist}
+% \begin{macrocode}
+\newcommand*\@HwM@symmetric@bold@bat[1]{%
+ \begin{@HwM@math@picture}{2}{-1}{}#1{6}{-3}%
+ \moveto(-.6,-.5)%
+ \curveto(-.5,-.6)(-.3,-.7)(-.3,-1.1)%
+ \curveto(-.1,-.7)(.1,-.7)(.3,-1.1)%
+ \curveto(.3,-.7)(.5,-.6)(.6,-.5)%
+ \closepath
+ \fillpath
+ \@HwM@symmetric@bbat@wing-%
+ \@HwM@symmetric@bbat@wing+%
+ \moveto(.5,0)%
+ \circlearc{.35}{0}{.15}{0}{180}%
+ \lineto(-.2,0)%
+ \circlearc{-.35}{0}{.15}{0}{180}%
+ \lineto(-.8,0)%
+ \curveto(-.8,.5)(-.7,.5)(-.55,1.1)%
+ \circlearc{0}{1.1}{.55}{180}{360}%
+ \curveto(.7,.5)(.8,.5)(.8,0)%
+ \closepath
+ \fillpath
+ \moveto(-.8,0)%
+ \circlearc{0}{0}{.8}{180}{360}%
+ \lineto(.5,0)%
+ \circlearc{.35}{0}{.15}{360}{180}%
+ \lineto(-.2,0)%
+ \circlearc{-.35}{0}{.15}{360}{180}%
+ \closepath
+ \fillpath
+ \end{@HwM@math@picture}%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@Symmetric@Bat}
+% Macro that draws the symmetric bat, automatically choosing between the
+% normal and the bold version; because of this, it is directly a ``public''
+% macro. Arguments:
+% \begin{paramlist}
+% \param
+% style selector (\eg "\textstyle");\\
+% \param
+% font selector (\eg "\textfont").
+% \end{paramlist}
+% The first parameter is imposed by the interface toward other parts of the
+% code, even if is not used here (as it happened in several other similar
+% macros).
+% \begin{macrocode}
+\newcommand*\@HwM@Symmetric@Bat[2]{%
+ \@HwM@if@bold@math{%
+ \@HwM@symmetric@bold@bat #2%
+ }{%
+ \@HwM@symmetric@bat #2%
+ }%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@asymmetric@bat}
+% Macro that draws the asymmetric, normal (that is, not bold) bat. Argument:
+% \begin{paramlist}
+% \param
+% font selector (\eg "\textfont").
+% \end{paramlist}
+% \begin{macrocode}
+\newcommand*\@HwM@asymmetric@bat[1]{%
+ \begin{@HwM@math@picture}{2}{-1}{}#1{6}{-3}%
+ \moveto(\-.5,.2)%
+ \curveto(\-1.5,.3)(\-2.2,.5)(\-1.8,1)%
+ \curveto(\-2.5,.5)(\-2.9,0)(\-2.9,-.5)%
+ \curveto(\-2.7,0)(\-2,-.25)(\-2,-.8)%
+ \curveto(\-2,-.5)(\-1.6,-.25)(\-1.4,-.5)%
+ \curveto(\-1.4,-.2)(\-1.2,-.1)(\-1,-.3)%
+ \curveto(\-1,-.1)(\-.7,-.1)(\-.6,-.1)%
+ \closepath
+ \fillpath
+ \moveto(\+.9,0)
+ \curveto(\+2,-.1)(\+2.2,.5)(\+2,.7)
+ \curveto(\+2.5,.6)(\+3.2,0)(\+2.9,-.7)%
+ \curveto(\+2.6,-.2)(\+2,-.5)(\+2,-1)%
+ \curveto(\+2,-.5)(\+1.7,-.4)(\+1.5,-.7)%
+ \curveto(\+1.6,-.4)(\+1.3,-.2)(\+1.1,-.5)%
+ \curveto(\+1.1,-.3)(\+1,-.3)(\+.8,-.3)%
+ \closepath
+ \fillpath
+ \moveto(\+.8,-.1)%
+ \curveto(\+.85,.08)(\+.65,.13)(\+.6,-.05)%
+ \lineto(\+.3,0)%
+ \curveto(\+.35,.2)(\+.05,.3)(0,.1)%
+ \lineto(\-.8,0)%
+ \curveto(\-.7,.3)(\-.4,.7)(\+.25,1)%
+ \curveto(\+.2,.4)(\+.8,.3)(\+1,.9)%
+ \curveto(\+1.1,.7)(\+1.1,.2)(\+1,0)%
+ \closepath
+ \fillpath
+ \moveto(\+.8,-.1)%
+ \curveto(\+.75,-.28)(\+.55,-.23)(\+.6,-.05)%
+ \lineto(\+.3,0)%
+ \curveto(\+.25,-.18)(\-.05,-.08)(0,.1)%
+ \lineto(\-.8,0)%
+ \curveto(\-.9,-.3)(\-.8,-.6)(\-1,-.9)%
+ \curveto(\-.8,-.6)(\-.4,-.7)(\-.6,-1)%
+ \curveto(\-.2,-.8)(\+.2,-.82)(\+.3,-.8)%
+ \curveto(\+.85,-.69)(\+.99,-.02)(\+1,0)%
+ \closepath
+ \fillpath
+ \end{@HwM@math@picture}%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@asymmetric@bold@bat}
+% Macro that draws the asymmetric, bold bat. Argument:
+% \begin{paramlist}
+% \param
+% font selector (\eg "\textfont").
+% \end{paramlist}
+% \begin{macrocode}
+\newcommand*\@HwM@asymmetric@bold@bat[1]{%
+ \begin{@HwM@math@picture}{2}{-1}{}#1{6}{-3}%
+ \moveto(\-.5,.3)%
+ \curveto(\-1.5,.4)(\-2.2,.6)(\-1.9,1.1)%
+ \curveto(\-2.6,.6)(\-3,0)(\-3,-.6)%
+ \curveto(\-2.6,-.1)(\-2,-.4)(\-2,-.9)%
+ \curveto(\-2,-.6)(\-1.6,-.35)(\-1.4,-.6)%
+ \curveto(\-1.4,-.3)(\-1.2,-.2)(\-1,-.4)%
+ \curveto(\-1,-.2)(\-.7,-.2)(\-.6,-.2)%
+ \closepath
+ \fillpath
+ \moveto(\+.9,.1)
+ \curveto(\+1.8,0)(\+2.3,.3)(\+2.1,.8)%
+ \curveto(\+2.6,.7)(\+3.3,-.1)(\+3,-.8)%
+ \curveto(\+2.7,-.3)(\+2,-.6)(\+2,-1.1)%
+ \curveto(\+2,-.6)(\+1.7,-.5)(\+1.5,-.8)%
+ \curveto(\+1.6,-.5)(\+1.3,-.3)(\+1.1,-.6)%
+ \curveto(\+1.1,-.4)(\+1,-.4)(\+.8,-.4)%
+ \closepath
+ \fillpath
+ \moveto(\+.8,-.1)%
+ \curveto(\+.85,.08)(\+.65,.13)(\+.6,-.05)%
+ \lineto(\+.3,0)%
+ \curveto(\+.35,.2)(\+.05,.3)(0,.1)%
+ \lineto(\-.85,0)%
+ \curveto(\-.75,.3)(\-.4,.7)(\+.25,1.1)%
+ \curveto(\+.2,.55)(\+.8,.45)(\+1,1)%
+ \curveto(\+1.1,.8)(\+1.2,.2)(\+1.05,0)%
+ \closepath
+ \fillpath
+ \moveto(\+.8,-.1)%
+ \curveto(\+.75,-.28)(\+.55,-.23)(\+.6,-.05)%
+ \lineto(\+.3,0)%
+ \curveto(\+.25,-.18)(\-.05,-.08)(0,.1)%
+ \lineto(\-.85,0)%
+ \curveto(\-.95,-.3)(\-.8,-.6)(\-1,-1)%
+ \curveto(\-.75,-.7)(\-.4,-.8)(\-.5,-1.1)%
+ \curveto(\-.2,-.8)(\+.2,-.82)(\+.3,-.8)%
+ \curveto(\+.85,-.69)(\+1.04,-.0133333)(\+1.05,0)%
+ \closepath
+ \fillpath
+ \end{@HwM@math@picture}%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@Asymmetric@Bat}
+% Macro that draws the asymmetric bat, automatically choosing between the
+% normal and the bold version; because of this, it is directly a ``public''
+% macro. Arguments:
+% \begin{paramlist}
+% \param
+% style selector (\eg "\textstyle");\\
+% \param
+% font selector (\eg "\textfont").
+% \end{paramlist}
+% This should be the last time we have to repeat the usual remark about the
+% first parameter: although it is not used in this macro, it is imposed by
+% the interface toward other parts of the code, which is shared also by a few
+% macros that, instead, require the information it conveys.
+% \begin{macrocode}
+\newcommand*\@HwM@Asymmetric@Bat[2]{%
+ \@HwM@if@bold@math{%
+ \@HwM@asymmetric@bold@bat #2%
+ }{%
+ \@HwM@asymmetric@bat #2%
+ }%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{New brooms, old pitchforks}
+%
+% As we have already remarked in the first part, more precisely in
+% Subsection~\ref{ssS:Witches}, the look of brooms, as they were implemented
+% by the first release of this package, had already been
+% \href{https://tex.stackexchange.com/questions/336768/seasonal-challenge-contributions-from-texing-dead-welcome#comment829686_337719}{politely
+% questioned}: the problem was that, in certain commands, the brush was
+% rendered as an "\in" or~"\ni" character ($\in$/$\ni$), making the supposed
+% broom look more like a pitchfork. The same commands now represent the
+% brush with a composite character obtained by overprinting a $<$ or~$>$
+% character to a~$-$; however, the old representation is retained too, using
+% different command names. The following macros define both the old-style
+% pitchforks and the new ``composite'' brushes.
+%
+% \begin{macro}{\@HwM@oooalign}
+% This macro overprints two or more characters, taking math style into due
+% account. It is my personal version of "\ooalign". Arguments:
+% \begin{paramlist}
+% \param
+% style selector (\eg "\textstyle");\\
+% \param
+% the symbols to be printed over oneanother, separated by "\cr".
+% \end{paramlist}
+% \begin{macrocode}
+\newcommand*\@HwM@oooalign[2]{%
+ \leavevmode
+ \vbox{%
+ \baselineskip\z@skip
+% \end{macrocode}
+% The following line is just for elegance, since "\lineskip" will never be
+% used\ldots
+% \begin{macrocode}
+ \lineskip\z@skip
+% \end{macrocode}
+% \ldots given the setting of "\lineskiplimit".
+% \begin{macrocode}
+ \lineskiplimit -\maxdimen
+ \m@th
+ \ialign{\hfil$#1##$\hfil\crcr #2\crcr}%
+ }%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@overprint@rel}
+% This macro builds a composite relation symbol out of the two characters
+% specified in the arguments.
+% \begin{macrocode}
+\newcommand*\@HwM@overprint@rel[2]{%
+ \mathrel{\mathpalette \@HwM@oooalign {#1\cr#2}}%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% The \packlass{\amsmath} package secures away, under the name "\std@minus",
+% the original "\mathcode" of the \texttt{-}~character; it does so because
+% this "\mathcode" is redefined when typesetting operator names
+% (see~\cite{bib:diffs-m}, near the end of the ``Changes in amsmath~2.0
+% [November 1999]''), and this would cause an extensible arrow, that happened
+% to be used inside an operator name, as in
+% \begin{verbatim}\DeclareMathOperator{\test}{\underleftrightarrow{test}}\end{verbatim}
+% to come out wrong. The saved "\mathcode" is used later in the "\relbar"
+% macro. Since we use are using "\relbar" for our brooms too, for some while
+% we've been concerned that other symbols we are going to employ could ``get
+% out of synch'', as it were, with what "\relbar" would yield. This had
+% initially led us to adopt the following, ``paranoid'' approach:
+% \begin{verbatim}\def\do#1#2{\@ifdefinable#1{\mathchardef#1=\mathcode`#2\relax}}
+%\do \@HwM@std@greater >
+%\do \@HwM@std@less <
+%\def\do#1#2\@ifdefinable#1{\let #1=#2}
+%\do \@HwM@std@in \in
+%\do \@HwM@std@ni \ni
+%\AtBeginDocument{%
+% \mathchardef \@HwM@std@greater \mathcode`>\relax
+% \mathchardef \@HwM@std@less \mathcode`<\relax
+% \let \@HwM@std@in = \in
+% \let \@HwM@std@ni = \ni
+%}
+%\newcommand*\@HwM@rightbroomtail{%
+% \@HwM@overprint@rel \std@minus \@HwM@std@greater
+%}
+%\newcommand*\@HwM@leftbroomtail{%
+% \@HwM@overprint@rel \std@minus \@HwM@std@less
+%}
+%\newcommand*\@HwM@rightpforktail{\mathrel\@HwM@std@ni}
+%\newcommand*\@HwM@leftpforktail {\mathrel\@HwM@std@in}\end{verbatim}
+% Note that the definition of "\in" and~"\ni" was secured away too (and saved
+% again at "\begin{document}"!\@), and not even I~can tell what was the
+% reasoning behind that: being \TeXtok{mathchardef token}'s by their own,
+% "\in" and~"\ni" needn't be saved as such; admittedly, there had been no
+% reasoning at all! The redundant "\mathrel" in the definition of
+% "\@HwM@rightpforktail" and "\@HwM@leftpforktail" deserves special mention
+% as well; but we find the same redundancy in the definition of "\Relbar",
+% not only in \packlass{\amsmath}, but also back in Knuth's coding of the
+% \texttt{plain} format.
+%
+% Later on, paranoia was lowered to what could even be deemed a sensible
+% level; indeed, storing away the "\mathcode" of~\texttt{<}/\texttt{>} is
+% closely similar to what the \packlass{\amsmath} package does when it
+% defines "\std@equal".
+% \begin{verbatim}\def\do#1#2{\@ifdefinable#1{\mathchardef#1=\mathcode`#2\relax}}
+%\do \@HwM@std@greater >
+%\do \@HwM@std@less <
+%\AtBeginDocument{%
+% \mathchardef \@HwM@std@greater \mathcode`>\relax
+% \mathchardef \@HwM@std@less \mathcode`<\relax
+%}
+%\newcommand*\@HwM@rightbroomtail{%
+% \@HwM@overprint@rel \std@minus \@HwM@std@greater
+%}
+%\newcommand*\@HwM@leftbroomtail{%
+% \@HwM@overprint@rel \std@minus \@HwM@std@less
+%}
+%\newcommand*\@HwM@rightpforktail{\mathrel\ni}
+%\newcommand*\@HwM@leftpforktail {\mathrel\in}\end{verbatim}
+% However, this code retains the fundamental drawback that affected the
+% previous version as well: it will break down with engines that use Unicode
+% math. Of course, it would be easy to cater for this too, but the point is
+% that\ldots\ well, there's no point in all this "\mathcode" securement in
+% the first place: OK\@, it is necessary to provide it for the~\texttt{-}
+% character, which can denote two different symbols (minus and hyphen), taken
+% from two different fonts, but neither for \texttt{<} or~\texttt{>}, nor,
+% for that matter, for~\texttt{=}. So, in the end we decided simply to keep
+% the symbolic names for the ``broom tail'' symbols, so that they serve as
+% hooks, should we ever need to take a different course of action in the
+% future, but to specify \texttt{<} and~\texttt{>} as literals, at least for
+% now.
+%
+% \begin{macro}{\@HwM@rightbroomtail}
+% The representation of the brush in the ``new'' brooms; version for brooms
+% that point to the right.
+% \begin{macrocode}
+\newcommand*\@HwM@rightbroomtail{\@HwM@overprint@rel \std@minus >}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@leftbroomtail}
+% As above, but for brooms that point to the left.
+% \begin{macrocode}
+\newcommand*\@HwM@leftbroomtail {\@HwM@overprint@rel \std@minus <}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@rightpforktail}
+% Similar hook, but for pitchforks, pointing to the right.
+% \begin{macrocode}
+\newcommand*\@HwM@rightpforktail{\mathrel\ni}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@leftpforktail}
+% For pitchforks pointing to the left.
+% \begin{macrocode}
+\newcommand*\@HwM@leftpforktail {\mathrel\in}
+% \end{macrocode}
+% \end{macro}
+%
+% Note again that, in the last two macros, we retained the redundant
+% "\mathrel", exactly as Knuth and the authors of \packlass{\amsmath} did in
+% the definition of "\Relbar": indeed, in order for "\joinrel" to work
+% properly, it is essential that the symbols it acts on behave as relations,
+% while, on the other hand, as remote as it might seem, there is always the
+% possibility that the final user has redefined the r\^{o}le of "\in"/"ni".
+% (Or, at least, this the tale I~recount to myself\ldots)
+%
+% For the above discussion about "\std@minus", I~have to thank again the
+% people at \href{https://tex.stackexchange.com/}{\TeXSXAbbrev}, who provided
+% me with the necessary insight into the matter: see~\cite{bib:std}.
+%
+% \subsubsection{Helper macros for the extensible symbols}
+% \label{sS:ExtensHelper}
+%
+% This subsection contains some utility macros that help typeset certain
+% extensible components, like broomsticks, swishes of ghosts, and so on.
+% Such components are implemented by means of the "\leaders" primitive, or of
+% a variant thereof.
+%
+% \begin{macro}{\@HwM@arrowfill@skip}
+% Instead of relying on temporaries, we reserve a "\skip" register
+% specifically devoted to holding the skip for the "\leaders".
+% \begin{macrocode}
\newlength\@HwM@arrowfill@skip
% \end{macrocode}
+% \end{macro}
%
% \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
+% Suppose you have \meta{something} (\eg 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
@@ -1685,56 +4102,105 @@
% \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
+% where \meta{style selector} is the same 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,
+% that is associated with it (namely, "\textfont" for "\displaystyle" and
+% "\textstyle", "\scriptfont" for "\scriptstyle", and "\scriptscriptfont" for
+% "\scriptscriptstyle"). For example,
% \begin{flushleft}
-% "\@HwM@auto@font@selector{"\meta{something}"}\scriptstyle"
+% "\@HwM@auto@font@selector{"\meta{something}"}\displaystyle"
% \end{flushleft}
% is transformed into
% \begin{flushleft}
-% \meta{something}"\scriptstyle\scriptfont"
+% \meta{something}"\displaystyle\textfont"
% \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
+% In version~0.01 of this package, this macro was implemented as shown here:
+% \begin{verbatim}\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{verbatim}
+% But in this version, the multiple-choice conditional has been simplified as
+% follows.
+% \textbf{Beware:} this is still 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
+ \ifx\scriptscriptstyle #2%
+ \scriptscriptfont
\else \ifx\scriptstyle #2%
\scriptfont
- \else \ifx\scriptscriptstyle #2%
- \scriptscriptfont
- \fi\fi\fi\fi
+ \else
+ \textfont
+ \fi\fi
}%
\expandafter \@tempa \expandafter #2\@tempb
}
% \end{macrocode}
% \end{macro}
%
-% \textbf{Uncommented code} again.
+% \begin{macro}{\@HwM@extended@arrowfill@}
+% This macro is loosely similar to the "\arrowfill@" macro found in the
+% \packlass{\amsmath} package, though its functionality is extended so as to
+% satisfy our needs. Basically, it invokes a caller-supplied (pseudo-)macro
+% that typeset the "\leaders", passing to it the appropriate value for
+% "\@HwM@arrowfill@skip". Arguments:
+% \begin{paramlist}
+% \param
+% the "\leaders" (pseudo-)macro (its arguments are specified below);\\
+% \param
+% the minimal width, expressed as a multiple of 18~math units.
+% \end{paramlist}
+% Arguments of the caller-supplied (pseudo-)macro:
+% \begin{paramlist}
+% \param
+% style selector (\eg "\displaystyle");\\
+% \param
+% font selector (\eg "\textfont").
+% \end{paramlist}
% \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}}%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@stylefont@arrowfill}
+% This is, in a sense, the ``internal'' version of the above macro, that is,
+% the version that ought to be called \emph{after} the process of argument
+% doubling implemented by "\@HwM@auto@font@selector" has taken place (see the
+% description of that macro for details). Note that the name of this macro
+% does \emph{not} end in an~\texttt{@}. Arguments:
+% \begin{paramlist}
+% \param
+% the "\leaders" (pseudo-)macro (having the same 2~arguments as above);\\
+% \param
+% the minimal width, expressed as a multiple of 18~math units;\\
+% \param
+% style selector (\eg "\displaystyle");\\
+% \param
+% font selector (\eg "\textfont").
+% \end{paramlist}
+% \begin{macrocode}
\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
@@ -1745,49 +4211,194 @@
#1#3#4%
$%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@enriched@arrowfill@}
+% This macro provides an ``enriched'' version of the "\arrowfill@" macro,
+% that invokes two additional macros, supplied by the caller, one before and
+% one after "\cleaders"; these macros can insert additional stretchable
+% material. In practice, this is used, below, to add the black cat on the
+% broomstick. Note that, here, the ``"\leaders" pseudo-macro'' is
+% ``"\HwM@arrowfill@cleaders{#1}{#2}{#3}{#4}{#5}"''.
+%
+% The arguments for this macro are as follows:
+% \begin{tightitemize}
+% \item
+% \#1, \#2, and~\#3 are the three characters that would be used by
+% "\arrowfill@" for the "\cleaders" (resp.: left, repeatable, right);
+% \item
+% \#4 and~\#5 are the two additional macros (resp.: left of "\cleaders",
+% right of "\cleaders");
+% \item
+% those argument must be followed, in the calling code, by the argument
+% that holds the minimal size of the extensible symbol.
+% \end{tightitemize}
+% The arguments of the two ``additional macros'' are as follows:
+% \begin{paramlist}
+% \param
+% style selector (\eg "\displaystyle");\\
+% \param
+% font selector (\eg "\textfont").
+% \end{paramlist}
+% \begin{macrocode}
\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}}%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\HwM@arrowfill@cleaders}
+% The arguments for this macro are as follows:
+% \begin{tightitemize}
+% \item
+% \#1, \#2, and~\#3 are the three characters, as above;
+% \item
+% \#4 and~\#5 are the two additional macros, as above;
+% \item
+% \( \mbox{\#6} \leftarrow \mbox{style sel.} \)
+% (\eg "\displaystyle"),
+% \( \mbox{\#7} \leftarrow \mbox{font sel.} \)
+% (\eg "\textfont").
+% \end{tightitemize}
+% \begin{macrocode}
\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%
}
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{Macros for extensible symbols (brooms, ghosts,~\ldots)}
+%
+% \begin{macro}{\@HwM@rightbroomfill@Wwac@}
+% This macro should be thought of as an analog of \packlass{\amsmath}'s
+% "\rightarrowfill@": it takes no arguments and yields an extensible broom
+% complete with witch and, if appropriate, cat, both facing toward the right.
+% For this macro only, we choose to include extensive comments, that
+% exemplify how the macros defined in the
+% \hyperref[sS:ExtensHelper]{preceding subsection} can be utilized.
+% \begin{macrocode}
\newcommand*\@HwM@rightbroomfill@Wwac@{%
+% \end{macrocode}
+% Set up the right-facing direction:
+% \begin{macrocode}
\@HwM@set@right@dir
- \@HwM@enriched@arrowfill@ \ni\relbar\relbar
+% \end{macrocode}
+% Have "\@HwM@enriched@arrowfill@" (assemble and) supply the extensible
+% broom. Recall that the first three arguments are the characters it is
+% built from:
+% \begin{macrocode}
+ \@HwM@enriched@arrowfill@ \@HwM@rightbroomtail\relbar\relbar
+% \end{macrocode}
+% The first additional macro (left of "\cleaders") does nothing,
+% yet it must gobble two arguments:
+% \begin{macrocode}
+ \@gobbletwo
+% \end{macrocode}
+% The second additional macro adds the witch, and possibly the cat, to the
+% right of the "\cleaders", and is defined below:
+% \begin{macrocode}
+ \@HwM@right@add@witch@cat
+% \end{macrocode}
+% The minimal size of the extensible broom (1~chunk of 18\,mu =~18\,mu):
+% \begin{macrocode}
+ \@ne
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@rightpitchfill@Wwac@}
+% Like "\@HwM@rightbroomfill@Wwac@", but yields an extensible pitchfork.
+% \begin{macrocode}
+\newcommand*\@HwM@rightpitchfill@Wwac@{%
+ \@HwM@set@right@dir
+ \@HwM@enriched@arrowfill@ \@HwM@rightpforktail\relbar\relbar
\@gobbletwo
\@HwM@right@add@witch@cat
\@ne
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@right@add@witch@cat}
+% Adds the witch and possibly the cat. Arguments:
+% \begin{paramlist}
+% \param
+% style selector (\eg "\displaystyle"), ignored;\\
+% \param
+% font selector (\eg "\textfont").
+% \end{paramlist}
+% \begin{macrocode}
\newcommand*\@HwM@right@add@witch@cat[2]{%
+% \end{macrocode}
+% First backspace by half of the width of the extensible symbol\ldots
+% \begin{macrocode}
\hskip -\glueexpr \@HwM@arrowfill@skip/\tw@ \relax
+% \end{macrocode}
+% \ldots then typeset the witch.
+% \begin{macrocode}
\@HwM@Small@Witch@Wo@Broom #2%
+% \end{macrocode}
+% If the cat has also been requested\ldots
+% \begin{macrocode}
\if@HwM@cat@
+% \end{macrocode}
+% \ldots then move forward by $1/4$~of the width\ldots
+% \begin{macrocode}
\hskip \glueexpr \@HwM@arrowfill@skip/4 \relax
+% \end{macrocode}
+% \ldots typeset the cat\ldots
+% \begin{macrocode}
\@HwM@Small@Cat@On@Hori@Broom #2%
+% \end{macrocode}
+% \ldots then move forward by another $1/4$~of the width.
+% \begin{macrocode}
\hskip \glueexpr \@HwM@arrowfill@skip/4 \relax
+% \end{macrocode}
+% Otherwise, just move forward by $1/2$~of the width, thus canceling the
+% previous backspace.
+% \begin{macrocode}
\else
\hskip \glueexpr \@HwM@arrowfill@skip/\tw@ \relax
\fi
-}%
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@leftbroomfill@Wwac@}
+% Like "\@HwM@rightbroomfill@Wwac@", but facing to the left.
+% \begin{macrocode}
\newcommand*\@HwM@leftbroomfill@Wwac@{%
\@HwM@set@left@dir
- \@HwM@enriched@arrowfill@ \relbar\relbar\in
+ \@HwM@enriched@arrowfill@ \relbar\relbar\@HwM@leftbroomtail
+ \@HwM@left@add@witch@cat
+ \@gobbletwo
+ \@ne
+}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@leftpitchfill@Wwac@}
+% Like "\@HwM@rightpitchfill@Wwac@", but facing to the left.
+% \begin{macrocode}
+\newcommand*\@HwM@leftpitchfill@Wwac@{%
+ \@HwM@set@left@dir
+ \@HwM@enriched@arrowfill@ \relbar\relbar\@HwM@leftpforktail
\@HwM@left@add@witch@cat
\@gobbletwo
\@ne
}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@HwM@left@add@witch@cat[}
+% Similar to "\@HwM@right@add@witch@cat".
+% \begin{macrocode}
\newcommand*\@HwM@left@add@witch@cat[2]{%
\if@HwM@cat@
\hskip \glueexpr \@HwM@arrowfill@skip/4 \relax
@@ -1799,9 +4410,15 @@
\@HwM@Small@Witch@Wo@Broom #2%
\hskip -\glueexpr \@HwM@arrowfill@skip/\tw@ \relax
}
+% \end{macrocode}
+% \end{macro}
+%
+% \textbf{Uncommented code} starts here.
+% \begin{macrocode}
+
\newcommand*\@HwM@init@swish@dimens[1]{%
\dimen4 \glueexpr \fontdimen 22 #1\tw@ *\tw@/\thr@@
- \dimen6 .25\@HwM@thickness@units@for #1%
+ \dimen6 .\@HwM@if@bold@math{333333}{25}\@HwM@thickness@units@for #1%
\dimen@ \dimen4
\@HwM@calc@swish@thickness
}
@@ -1812,8 +4429,11 @@
\newcommand*\@HwM@swish@leaders{%
\leaders \hrule \@height\dimen@ \@depth\dimen@ii \hskip
}
-\newcommand*\@HwM@right@ghost@swish[2]{%
- \@HwM@init@swish@dimens #2%
+\newcommand*\@HwM@right@swish[3]{%
+ % #1 := swishing subform. (e.g., "\mkern 1.5mu\relax \mathrightbat")
+ % #2 := style selector (e.g., "\displaystyle")
+ % #3 := font selector (e.g., "\textfont")
+ \@HwM@init@swish@dimens #3%
\hskip \glueexpr \@HwM@arrowfill@skip/4\relax
\@HwM@swish@leaders \glueexpr \@HwM@arrowfill@skip/4\relax
\hskip \glueexpr \@HwM@arrowfill@skip/8\relax
@@ -1831,11 +4451,14 @@
\@HwM@swish@leaders
\glueexpr \@HwM@arrowfill@skip/\tw@ +\dimen4 /\tw@ \relax
\kern -\dimen4
- \mathrightghost
+ #1%
}
-\newcommand*\@HwM@left@ghost@swish[2]{%
- \mathleftghost
- \@HwM@init@swish@dimens #2%
+\newcommand*\@HwM@left@swish[3]{%
+ % #1 := swishing subformula (e.g., "\mathleftbat \mkern 1.5mu\relax")
+ % #2 := style selector (e.g., "\displaystyle")
+ % #3 := font selector (e.g., "\textfont")
+ #1%
+ \@HwM@init@swish@dimens #3%
\@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
@@ -1854,13 +4477,33 @@
\hskip \glueexpr \@HwM@arrowfill@skip/\tw@ +\dimen4 /\tw@ \relax
}
\newcommand*\@HwM@rightghostfill@{%
- \@HwM@extended@arrowfill@ \@HwM@right@ghost@swish {.5}%
+ \@HwM@extended@arrowfill@ {\@HwM@right@swish \mathrightghost}{.5}%
}
\newcommand*\@HwM@leftghostfill@{%
- \@HwM@extended@arrowfill@ \@HwM@left@ghost@swish {.5}%
+ \@HwM@extended@arrowfill@ {\@HwM@left@swish \mathleftghost}{.5}%
+}
+\newcommand*\@HwM@rightbatfill@{%
+ \@HwM@extended@arrowfill@
+ {\@HwM@right@swish{\mkern 1.5mu\relax \mathrightbat}}{.5}%
+}
+\newcommand*\@HwM@leftbatfill@{%
+ \@HwM@extended@arrowfill@
+ {\@HwM@left@swish{\mathleftbat \mkern 1.5mu\relax}}{.5}%
+}
+
+\newcommand*\@HwM@rightbroomfill@{%
+ \arrowfill@ \@HwM@rightbroomtail\relbar\relbar
+}
+\newcommand*\@HwM@leftbroomfill@{%
+ \arrowfill@ \relbar\relbar\@HwM@leftbroomtail
+}
+\newcommand*\@HwM@rightpitchfill@{%
+ \arrowfill@ \@HwM@rightpforktail\relbar\relbar
+}
+\newcommand*\@HwM@leftpitchfill@{%
+ \arrowfill@ \relbar\relbar\@HwM@leftpforktail
}
-% 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
@@ -1886,7 +4529,6 @@
{#1\scriptscriptstyle \scriptscriptfont}%
}
-% General calls:
\newcommand*\@HwM@general@large@operator[2]{%
\mathop{%
\@HwM@variable@mathpalette{#1}{#2}%
@@ -1913,8 +4555,6 @@
{\@HwM@cat@false #1}%
}
-%
-% User-level commands:
\newcommand*\mathwitch{%
\DOTSB
\@HwM@set@right@dir
@@ -1926,12 +4566,14 @@
\@HwM@ifstar@cat{\@HwM@mathwitch rl}%
}
\newcommand*\@HwM@mathwitch[2]{%
- \@HwM@general@large@operator {\@HwM@Large@Witch #1#2}\@HwM@Small@Witch
+ \@HwM@general@large@operator
+ {\@HwM@Large@Witch #1#2}%
+ \@HwM@Small@Witch
}
\newcommand*\pumpkin{%
\DOTSB
- \@HwM@general@binary@operation \@HwM@Oplus@Pumpkin
+ \@HwM@general@binary@operation \@HwM@Binop@Pumpkin
}
\newcommand*\bigpumpkin{%
\DOTSB
@@ -1939,6 +4581,15 @@
}
\@ifdefinable\greatpumpkin{\let\greatpumpkin=\bigpumpkin}
+\newcommand*\skull{%
+ \DOTSB
+ \@HwM@general@binary@operation \@HwM@Binop@Skull
+}
+\newcommand*\bigskull{%
+ \DOTSB
+ \@HwM@general@large@operator \@HwM@Large@Skull \@HwM@Small@Skull
+}
+
\newcommand*\mathcloud {\@HwM@set@right@dir \@HwM@mathcloud}
\newcommand*\reversemathcloud{\@HwM@set@left@dir \@HwM@mathcloud}
\newcommand*\@HwM@mathcloud{%
@@ -1953,8 +4604,16 @@
\newcommand*\@HwM@mathghost{%
\@HwM@general@ordinary@symbol \@HwM@Asymmetric@Ghost
}
-%
-% Accents.
+
+\newcommand*\mathbat{%
+ \@HwM@general@ordinary@symbol \@HwM@Symmetric@Bat
+}
+\newcommand*\mathrightbat{\@HwM@set@right@dir \@HwM@mathbat}
+\newcommand*\mathleftbat {\@HwM@set@left@dir \@HwM@mathbat}
+\newcommand*\@HwM@mathbat{%
+ \@HwM@general@ordinary@symbol \@HwM@Asymmetric@Bat
+}
+
\newcommand*\@HwM@dblstyle@overarrow@[4]{%
% #1 := stretchable covering arrow
% #2 := base style
@@ -1988,6 +4647,14 @@
\@HwM@general@ou@w@cat
{\@HwM@dblstyle@overarrow@ \@HwM@leftbroomfill@Wwac@}%
}
+\newcommand*\overrightwitchonpitchfork{%
+ \@HwM@general@ou@w@cat
+ {\@HwM@dblstyle@overarrow@ \@HwM@rightpitchfill@Wwac@}%
+}
+\newcommand*\overleftwitchonpitchfork{%
+ \@HwM@general@ou@w@cat
+ {\@HwM@dblstyle@overarrow@ \@HwM@leftpitchfill@Wwac@}%
+}
\newcommand*\overrightswishingghost{%
\@HwM@dblstyle@mathpalette
{\@HwM@dblstyle@overarrow@ \@HwM@rightghostfill@}%
@@ -1996,6 +4663,14 @@
\@HwM@dblstyle@mathpalette
{\@HwM@dblstyle@overarrow@ \@HwM@leftghostfill@}%
}
+\newcommand*\overrightflutteringbat{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@overarrow@ \@HwM@rightbatfill@}%
+}
+\newcommand*\overleftflutteringbat{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@overarrow@ \@HwM@leftbatfill@}%
+}
\newcommand*\underrightwitchonbroom{%
\@HwM@general@ou@w@cat
{\@HwM@dblstyle@underarrow@ \@HwM@rightbroomfill@Wwac@}%
@@ -2004,6 +4679,14 @@
\@HwM@general@ou@w@cat
{\@HwM@dblstyle@underarrow@ \@HwM@leftbroomfill@Wwac@}%
}
+\newcommand*\underrightwitchonpitchfork{%
+ \@HwM@general@ou@w@cat
+ {\@HwM@dblstyle@underarrow@ \@HwM@rightpitchfill@Wwac@}%
+}
+\newcommand*\underleftwitchonpitchfork{%
+ \@HwM@general@ou@w@cat
+ {\@HwM@dblstyle@underarrow@ \@HwM@leftpitchfill@Wwac@}%
+}
\newcommand*\underrightswishingghost{%
\@HwM@dblstyle@mathpalette
{\@HwM@dblstyle@underarrow@ \@HwM@rightghostfill@}%
@@ -2012,8 +4695,70 @@
\@HwM@dblstyle@mathpalette
{\@HwM@dblstyle@underarrow@ \@HwM@leftghostfill@}%
}
-%
-% The script version of standard over/under arrows.
+\newcommand*\underrightflutteringbat{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@underarrow@ \@HwM@rightbatfill@}%
+}
+\newcommand*\underleftflutteringbat{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@underarrow@ \@HwM@leftbatfill@}%
+}
+\newcommand*\overrightbroom{%
+ \mathpalette{\overarrow@ \@HwM@rightbroomfill@}%
+}
+\newcommand*\overleftbroom{%
+ \mathpalette{\overarrow@ \@HwM@leftbroomfill@}%
+}
+\newcommand*\overrightpitchfork{%
+ \mathpalette{\overarrow@ \@HwM@rightpitchfill@}%
+}
+\newcommand*\overleftpitchfork{%
+ \mathpalette{\overarrow@ \@HwM@leftpitchfill@}%
+}
+\newcommand*\underrightbroom{%
+ \mathpalette{\underarrow@ \@HwM@rightbroomfill@}%
+}
+\newcommand*\underleftbroom{%
+ \mathpalette{\underarrow@ \@HwM@leftbroomfill@}%
+}
+\newcommand*\underrightpitchfork{%
+ \mathpalette{\underarrow@ \@HwM@rightpitchfill@}%
+}
+\newcommand*\underleftpitchfork{%
+ \mathpalette{\underarrow@ \@HwM@leftpitchfill@}%
+}
+\newcommand*\overscriptrightbroom{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@overarrow@ \@HwM@rightbroomfill@}%
+}
+\newcommand*\overscriptleftbroom{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@overarrow@ \@HwM@leftbroomfill@}%
+}
+\newcommand*\overscriptrightpitchfork{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@overarrow@ \@HwM@rightpitchfill@}%
+}
+\newcommand*\overscriptleftpitchfork{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@overarrow@ \@HwM@leftpitchfill@}%
+}
+\newcommand*\underscriptrightbroom{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@underarrow@ \@HwM@rightbroomfill@}%
+}
+\newcommand*\underscriptleftbroom{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@underarrow@ \@HwM@leftbroomfill@}%
+}
+\newcommand*\underscriptrightpitchfork{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@underarrow@ \@HwM@rightpitchfill@}%
+}
+\newcommand*\underscriptleftpitchfork{%
+ \@HwM@dblstyle@mathpalette
+ {\@HwM@dblstyle@underarrow@ \@HwM@leftpitchfill@}%
+}
\newcommand*\overscriptrightarrow{%
\@HwM@dblstyle@mathpalette
{\@HwM@dblstyle@overarrow@ \rightarrowfill@}%
@@ -2038,8 +4783,41 @@
\@HwM@dblstyle@mathpalette
{\@HwM@dblstyle@underarrow@ \leftrightarrowfill@}%
}
-%
-% Extensible "arrow-like" symbols.
+
+\newcommand*\@HwM@make@arrowfill@like[3]{%
+ % #1 := base symbol, which expects as its own arguments
+ % - #1, a style selector (e.g., "\scriptstyle")
+ % - #2, a font selector (e.g., "\scriptfont")
+ % #2 := centering method, either "\hfil" or "\hidewidth"
+ % #3 := style selector (e.g., "\scriptstyle")
+ #2%
+ \@HwM@auto@font@selector{#1}#3% braces around #1 are for robustness
+ #2%
+}
+\newcommand*\@HwM@over@under@bat[2]{%
+ % #1 := "\@HwM@dblstyle@overarrow@" | "\@HwM@dblstyle@underarrow@"
+ % #2 := "\hfil" | "\hidewidth"
+ \@HwM@dblstyle@mathpalette{%
+ #1{%
+ \@HwM@make@arrowfill@like \@HwM@Symmetric@Bat #2%
+ }%
+ }%
+}
+\newcommand*\overbat{%
+ \@ifstar{%
+ \@HwM@over@under@bat \@HwM@dblstyle@overarrow@ \hfil
+ }{%
+ \@HwM@over@under@bat \@HwM@dblstyle@overarrow@ \hidewidth
+ }%
+}
+\newcommand*\underbat{%
+ \@ifstar{%
+ \@HwM@over@under@bat \@HwM@dblstyle@underarrow@ \hfil
+ }{%
+ \@HwM@over@under@bat \@HwM@dblstyle@underarrow@ \hidewidth
+ }%
+}
+
\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}%
@@ -2048,10 +4826,16 @@
\@HwM@tempa {#1}{#2}%
}
\newcommand*\xrightwitchonbroom{%
- \@HwM@ext@arrow@w@cat 9395\@HwM@rightbroomfill@Wwac@%
+ \@HwM@ext@arrow@w@cat 9395\@HwM@rightbroomfill@Wwac@
}
\newcommand*\xleftwitchonbroom{%
- \@HwM@ext@arrow@w@cat 3959\@HwM@leftbroomfill@Wwac@%
+ \@HwM@ext@arrow@w@cat 3959\@HwM@leftbroomfill@Wwac@
+}
+\newcommand*\xrightwitchonpitchfork{%
+ \@HwM@ext@arrow@w@cat 9395\@HwM@rightpitchfill@Wwac@
+}
+\newcommand*\xleftwitchonpitchfork{%
+ \@HwM@ext@arrow@w@cat 3959\@HwM@leftpitchfill@Wwac@
}
\newcommand*\xrightswishingghost[2][]{%
\ext@arrow 3{12}5{15}\@HwM@rightghostfill@{#1}{#2}%
@@ -2059,6 +4843,62 @@
\newcommand*\xleftswishingghost[2][]{%
\ext@arrow {12}3{15}5\@HwM@leftghostfill@{#1}{#2}%
}
+\newcommand*\xrightflutteringbat[2][]{%
+ \ext@arrow 0055\@HwM@rightbatfill@{#1}{#2}%
+}
+\newcommand*\xleftflutteringbat[2][]{%
+ \ext@arrow 0055\@HwM@leftbatfill@{#1}{#2}%
+}
+\newcommand*\xrightbroom{%
+ \@HwM@ext@arrow@w@cat 9395\@HwM@rightbroomfill@
+}
+\newcommand*\xleftbroom{%
+ \@HwM@ext@arrow@w@cat 3959\@HwM@leftbroomfill@
+}
+\newcommand*\xrightpitchfork{%
+ \@HwM@ext@arrow@w@cat 9395\@HwM@rightpitchfill@
+}
+\newcommand*\xleftpitchfork{%
+ \@HwM@ext@arrow@w@cat 3959\@HwM@leftpitchfill@
+}
+
+\newcommand*\@HwM@tighter@joinrel{%
+ \mathrel{\mkern-6.5mu}%
+}
+\newcommand*\rightbroom{%
+ \DOTSB
+ \protect\@HwM@rightbroomtail
+ \protect\@HwM@tighter@joinrel
+ \protect\relbar
+ \protect\@HwM@tighter@joinrel
+ \protect\relbar
+}
+\newcommand*\leftbroom{%
+ \DOTSB
+ \protect\relbar
+ \protect\@HwM@tighter@joinrel
+ \protect\relbar
+ \protect\@HwM@tighter@joinrel
+ \protect\@HwM@leftbroomtail
+}
+\newcommand*\hmrightpitchfork{%
+ \DOTSB
+ \protect\@HwM@rightpforktail
+ \protect\@HwM@tighter@joinrel
+ \protect\relbar
+ \protect\@HwM@tighter@joinrel
+ \protect\relbar
+}
+\newcommand*\hmleftpitchfork{%
+ \DOTSB
+ \protect\relbar
+ \protect\@HwM@tighter@joinrel
+ \protect\relbar
+ \protect\@HwM@tighter@joinrel
+ \protect\@HwM@leftpforktail
+}
+
+\let \do = \noexpand
% \end{macrocode}
%
% End of the module for the \packlass{\halloweenmath} package.