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-rw-r--r--macros/latex/contrib/dyntree/dyntree.dtx2280
1 files changed, 1141 insertions, 1139 deletions
diff --git a/macros/latex/contrib/dyntree/dyntree.dtx b/macros/latex/contrib/dyntree/dyntree.dtx
index c5e4997146..ef7ec35d81 100644
--- a/macros/latex/contrib/dyntree/dyntree.dtx
+++ b/macros/latex/contrib/dyntree/dyntree.dtx
@@ -1,1139 +1,1141 @@
-% \iffalse
-%
-%<package>\NeedsTeXFormat{LaTeX2e}[1999/12/01]
-%<package>\ProvidesPackage{dyntree}
-%<package> [2006/08/14 v1 Dynkin Tree Typsetting]
-%<package>\RequirePackage{coollist}
-%<package>\RequirePackage{calc}
-%<package>\RequirePackage{epic}
-%<package>\RequirePackage{eepic}
-%<package>\RequirePackage{amsmath}
-%<package>\RequirePackage{amssymb}
-%
-%
-%<*driver>
-\documentclass{ltxdoc}
-\usepackage{dyntree}
-\EnableCrossrefs
-\CodelineIndex
-\RecordChanges
-\begin{document}
-\DocInput{dyntree.dtx}
-\end{document}
-%</driver>
-% \fi
-%
-% \iffalse meta-comment
-% remove this comment to get a checksum
-% \CheckSum{0}
-% \fi
-%
-%% \CharacterTable
-%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
-%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
-%% Digits \0\1\2\3\4\5\6\7\8\9
-%% Exclamation \! Double quote \" Hash (number) \#
-%% Dollar \$ Percent \% Ampersand \&
-%% Acute accent \' Left paren \( Right paren \)
-%% Asterisk \* Plus \+ Comma \,
-%% Minus \- Point \. Solidus \/
-%% Colon \: Semicolon \; Less than \<
-%% Equals \= Greater than \> Question mark \?
-%% Commercial at \@ Left bracket \[ Backslash \\
-%% Right bracket \] Circumflex \^ Underscore \_
-%% Grave accent \` Left brace \{ Vertical bar \|
-%% Right brace \} Tilde \~}
-%
-% \changes{v1.0}{2006/08/14}{Initial Release}
-%
-% \GetFileInfo{dyntree.sty}
-%
-% \DoNotIndex{\#,\$,\%,\&,\@,\\,\{,\},\^,\_,\~,\ ,\!,\(,\),\,}
-% \DoNotIndex{\@ne,\expandafter}
-% \DoNotIndex{\advance,\begingroup,\catcode,\closein,\errmessage}
-% \DoNotIndex{\newcommand,\renewcommand,\providecommand}
-% \DoNotIndex{\closeout,\day,\def,\edef,\xdef,\gdef,\let,\empty,\endgroup}
-% \DoNotIndex{\newcounter,\providecounter,\addtocounter,\setcounter,\stepcounter,\value,\arabic,\the}
-% \DoNotIndex{\if,\fi,\ifthenelse,\else,\setboolean,\boolean,\newboolean,\provideboolean,\equal,\AND,\OR,\NOT,\whiledo}
-% \DoNotIndex{\ifcase,\ifcat,\or,\else}
-% \DoNotIndex{\par,\parbox,\mbox,\hbox,\begin,\end,\nabla,\partial}
-% \DoNotIndex{\overline,\bar,\small,\tiny,\mathchoice,\scriptsize,\textrm,\texttt}
-% \DoNotIndex{\alpha,\beta,\gamma,\epsilon,\varepsilon,\delta,\zeta,\eta,\theta,\vartheta,\iota,\kappa,\lambda,\mu,\nu}
-% \DoNotIndex{\xi,\omicron,\pi,\varpi,\rho,\varrho,\sigma,\tau,\upsilon,\phi,\varphi,\chi,\psi,\omega}
-% \DoNotIndex{\Delta,\Gamma,\Theta,\Lambda,\Xi,\Pi,\Sigma,\Phi,\Psi,\Omega}
-% \DoNotIndex{\digamma,\lceil,\rceil,\lfloor,\rfloor,\left,\right,\inp,\inb,\inbr,\inap,\nop}
-% \DoNotIndex{\sum,\prod,\int,\log,\ln,\exp,\sin,\cos,\tan,\csc,\sec,\cot,\arcsin,\arccos,\arctan,\det}
-% \DoNotIndex{\sinh,\cosh,\tanh,\csch,\sech,\coth,\arcsinh,\arccosh,\arctanh}
-% \DoNotIndex{\mod,\max,\min,\gcd,\lcm,\wp,\arg,\dots,\infty,}
-% \DoNotIndex{\frac,\binom,\braket,\@@atop}
-% \DoNotIndex{\cdot,\ldots,\tilde,\times,\dagger,\relax}
-% \DoNotIndex{\mathbb,\roman,\bf,\mathord,\cal,\DeclareMathOperator,\PackageError,\PackageWarning}
-% \DoNotIndex{\csname,\endcsname,\ifx,\ifnum}
-% \DoNotIndex{\makeatother,\makeatletter}
-% \DoNotIndex{\copy,\setbox,\usebox,\newbox}
-% \DoNotIndex{\addtolength,\setlength,\newlength,\unitlength,\settoheight,\settodepth,\settowidth,\lengthtest}
-% \DoNotIndex{\drawline,\line,\put}
-% \DoNotIndex{
-% \DYNTREE@temparray,\DYNTREE@templen,\DYNTREE@tempboxnum,\DYNTREE@tempxCoord,
-% \DYNTREE@tempinsert,\DYNTREE@temproot,\DYNTREE@tempswap,\DYNTREE@temprootX}
-%
-% \title{The \textsf{dyntree} package\thanks{This document
-% corresponds to \textsf{dyntree}~\fileversion,
-% dated~\filedate.}}
-% \author{nsetzer}
-%
-% \maketitle
-%
-% \setcounter{IndexColumns}{2}
-% \StopEventually{\PrintChanges\PrintIndex}
-%
-% The \textsf{dyntree} package is intended for users needing to typeset a dykin tree---a group theoretical construct
-% consisting of cartan coefficients in boxes connected by a series of lines.
-% This package makes it easy for the user to generate these objects by allowing the user to specify only the
-% cartan coefficients and the root number(s) that they connect to below.
-%
-% This package requires the \textsf{coollist} package, which is not a standard \LaTeX package but is available at CTAN.
-%
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%\section{Basics}
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-% To create a Dynkin Tree Diagram, the syntax is as follows \DescribeEnv{dyntree} \DescribeMacro{\dynbox}:
-%
-% |\start{dyntree}|\marg{num\_roots}
-%
-% |\dynbox|\marg{cartan\_coefficients}\marg{cvs\_descendant\_root\_list} |\lend|
-%
-% $\vdots$
-%
-% |\finish{dyntree}|
-%
-% where
-%
-% \meta{num\_roots} is an integer indicating the number of simple roots
-%
-% \meta{cartan\_coefficients} is an \emph{ampersand} (\&) delimited list of cartan coefficients
-% (the number of which \emph{must} be equal to \meta{num\_roots}
-%
-% \meta{cvs\_descendant\_root\_list} is a comma delimited list of integers indicating which simple root can be lowered
-% from this box. The simple roots are numbered from left to right starting at $1$ and ending at \meta{num\_roots}
-%
-%
-% Thus, if the group of interest had $3$ simple roots, each |\dynbox| would have a \meta{cartan\_coefficients} with three entries; that is, it would be a list with three integers as in
-%
-% \begin{center}
-% |1 & 0 & 0|
-% \end{center}
-%
-% and the list \meta{cvs\_descendant\_root\_list} would have at most three entries (but it need not have exactly three entries) with the entries being between $1$ and $3$. The entry $1$ would correspond to the first (left-most) simple root being lowered, the entry $2$ the second simple root, and $3$ the third:
-%
-% \DeleteShortVerb{\|}
-% \begin{center}
-% \begin{picture}(200,70)
-% \put(20,40){simple root:}
-% \put(80,40){$\begin{array}{ccc} 1 & 2 & 3 \end{array}$}
-% \put(80,30){$\begin{array}{|ccc|} \hline 1 & 0 & 0 \\ \hline \end{array}$}
-% \end{picture}
-% \end{center}
-% \MakeShortVerb{\|}
-%
-% So, finally, an entry such as
-%
-% \begin{center}
-% |\dynbox{-1 & 0 & 0}{1,3}|
-% \end{center}
-%
-% would specify that the program should draw two lines below the box \DeleteShortVerb{\|} $\begin{array}{|ccc|} \hline 1 & 0 & 0 \\ \hline \end{array}$ \MakeShortVerb{\|}; one for the first simple root, and another for the third simple root. The resulting portion of the diagram would look like
-%
-% \begin{center}
-% \start{dyntree}{3}
-% \dynbox{-1 & 0 & 0}{1,3} \lend
-% \finish{dyntree}
-% \end{center}
-%
-% \makeatletter
-% \vspace{\DYNTREE@levelsep}
-% \makeatother
-%
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
-%\subsection{Quirks}
-% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-% There are two quirks with this package, and they are
-% \begin{itemize}
-% \item{if there are multiple Dynkin Tree Diagrams required for your document, you \emph{must} enclose each tree in braces}
-% \item{The lowest state (bottom-most dynbox) must have a non-empty entry in \meta{cvs\_descendant\_root\_list} even though no lines are to be drawn from it. To meet both criteria, place a zero in this spot.}
-% \end{itemize}
-%
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
-%\subsection{Examples}
-% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-% \newcounter{examples}
-% \setcounter{examples}{1}
-%
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
-%\subsubsection{Example \theexamples} \stepcounter{examples}
-% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-% \begin{verbatim}
-% {
-% \start{dyntree}{2}
-% \dynbox{3 & 0}{1} \lend
-% \dynbox{1 & 1}{1,2} \lend
-% \dynbox{2 & -1}{1}
-% \dynbox{-1 & 2}{1,2} \lend
-% \dynbox{0 & 0}{1,2}
-% \dynbox{-3 & 3}{0,2} \lend
-% \dynbox{1 & -2}{1}
-% \dynbox{-2 & 1}{0,2} \lend
-% \dynbox{-1 & -1}{0,2} \lend
-% \dynbox{0 & -3}{0} \lend
-% \finish{dyntree}
-% }
-% \end{verbatim}
-%
-% {
-% \start{dyntree}{2}
-% \dynbox{3 & 0}{1} \lend
-% \dynbox{1 & 1}{1,2} \lend
-% \dynbox{2 & -1}{1}
-% \dynbox{-1 & 2}{1,2} \lend
-% \dynbox{0 & 0}{1,2}
-% \dynbox{-3 & 3}{0,2} \lend
-% \dynbox{1 & -2}{1}
-% \dynbox{-2 & 1}{0,2} \lend
-% \dynbox{-1 & -1}{0,2} \lend
-% \dynbox{0 & -3}{0} \lend
-% \finish{dyntree}
-% }
-%
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
-%\subsubsection{Example \theexamples} \stepcounter{examples}
-% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-% \begin{verbatim}
-% \begin{center}
-% {
-% \start{dyntree}{3}
-% \dynbox{2 & 0 & 0}{1} \lend
-% \dynbox{0 & 1 & 0}{1,2} \lend
-% \dynbox{1 & -1 & 1}{1,3}
-% \dynbox{-2 & 2 & 0}{2} \lend
-% \dynbox{1 & 1 & -1}{1,2}
-% \dynbox{-1 & 0 & 1}{2,3} \lend
-% \dynbox{2 & -1 & 0}{1}
-% \dynbox{-1 & 2 & -1}{2}
-% \dynbox{0 & -2 & 2}{3} \lend
-% \dynbox{0 & 0 & 0}{0} \lend
-% \finish{dyntree}
-% }
-% \end{center}
-% \end{verbatim}
-%
-% \begin{center}
-% {
-% \start{dyntree}{3}
-% \dynbox{2 & 0 & 0}{1} \lend
-% \dynbox{0 & 1 & 0}{1,2} \lend
-% \dynbox{1 & -1 & 1}{1,3}
-% \dynbox{-2 & 2 & 0}{2} \lend
-% \dynbox{1 & 1 & -1}{1,2}
-% \dynbox{-1 & 0 & 1}{2,3} \lend
-% \dynbox{2 & -1 & 0}{1}
-% \dynbox{-1 & 2 & -1}{2}
-% \dynbox{0 & -2 & 2}{3} \lend
-% \dynbox{0 & 0 & 0}{0} \lend
-% \finish{dyntree}
-% }
-% \end{center}
-%
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
-%\subsubsection{Example \theexamples} \stepcounter{examples}
-% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-% \begin{verbatim}
-% This is a $15$ of $SU(5)$
-%
-% \begin{center}
-% {
-% \start{dyntree}{4}
-% \dynbox{2 & 0 & 0 & 0}{1} \lend
-% \dynbox{0 & 1 & 0 & 0}{1,2} \lend
-% \dynbox{1 & -1 & 1 & 0}{1,3}
-% \dynbox{-2 & 2 & 0 & 0}{2} \lend
-% \dynbox{1 & 0 & -1 & 0}{1,4}
-% \dynbox{-1 & 0 & 1 & 0}{2,3} \lend
-% \dynbox{1 & 0 & 0 &-1}{1}
-% \dynbox{-1 & 1 & -1 & 1}{2,4}
-% \dynbox{0 & -2 & 2 & 0}{3} \lend
-% \dynbox{-1 & 1 & 0 & -1}{2}
-% \dynbox{0 & -1 & 0 & 1}{3,4} \lend
-% \dynbox{0 & -1 & 1 & -1}{3}
-% \dynbox{0 & 0 & -2 & 2}{4} \lend
-% \dynbox{0 & 0 & -1 & 0}{4} \lend
-% \dynbox{0 & 0 & 0 & -2}{0} \lend
-% \finish{dyntree}
-% }
-% \end{center}
-% \end{verbatim}
-%
-% This is a $15$ of $SU(5)$
-%
-% \begin{center}
-% {
-% \start{dyntree}{4}
-% \dynbox{2 & 0 & 0 & 0}{1} \lend
-% \dynbox{0 & 1 & 0 & 0}{1,2} \lend
-% \dynbox{1 & -1 & 1 & 0}{1,3}
-% \dynbox{-2 & 2 & 0 & 0}{2} \lend
-% \dynbox{1 & 0 & -1 & 0}{1,4}
-% \dynbox{-1 & 0 & 1 & 0}{2,3} \lend
-% \dynbox{1 & 0 & 0 &-1}{1}
-% \dynbox{-1 & 1 & -1 & 1}{2,4}
-% \dynbox{0 & -2 & 2 & 0}{3} \lend
-% \dynbox{-1 & 1 & 0 & -1}{2}
-% \dynbox{0 & -1 & 0 & 1}{3,4} \lend
-% \dynbox{0 & -1 & 1 & -1}{3}
-% \dynbox{0 & 0 & -2 & 2}{4} \lend
-% \dynbox{0 & 0 & -1 & 0}{4} \lend
-% \dynbox{0 & 0 & 0 & -2}{0} \lend
-% \finish{dyntree}
-% }
-% \end{center}
-%
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
-%\subsubsection{Example \theexamples} \stepcounter{examples}
-% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-% \begin{verbatim}
-% \begin{center}
-% {
-% \start{dyntree}{2}
-% \dynbox{0 & 2}{2} \lend
-% \dynbox{1 & 0}{1,2} \lend
-% \dynbox{2 & -2}{1}
-% \dynbox{-1 & 1}{2} \lend
-% \dynbox{0 & -1}{1} \lend
-% \dynbox{-2 & 0}{0} \lend
-% \finish{dyntree}
-% }
-% \end{center}
-% \end{verbatim}
-%
-% \begin{center}
-% {
-% \start{dyntree}{2}
-% \dynbox{0 & 2}{2} \lend
-% \dynbox{1 & 0}{1,2} \lend
-% \dynbox{2 & -2}{1}
-% \dynbox{-1 & 1}{2} \lend
-% \dynbox{0 & -1}{1} \lend
-% \dynbox{-2 & 0}{0} \lend
-% \finish{dyntree}
-% }
-% \end{center}
-%
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%\section{Implementation}
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
-%\subsection{Variables and Constants}
-% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-% The \textsf{dyntree} package utilizes a picture environment to create the tree. To do this it requires several
-% constant length values, as well as calculated length values and counters. These are define below.
-%
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
-%\subsubsection{Cartan Coefficients Box Variables}
-% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-% The first thing to do is declare the length variables associated with a cartan coefficients box---dynbox for short.
-% These variables are
-%
-% \begin{tabular}{lp{.5\textwidth}}
-% |\DYNTREE@widechar| & the width of a $-1$ \\
-% |\DYNTREE@thinchar| & the width of a $1$ \\
-% |\DYNTREE@cartancoefwidth| & the width of a cartan coefficient (a combination of $-1$ and $1$) \\
-% |\DYNTREE@marginwidth| & the width of the margin of the cartan coefficients box \\
-% |\DYNTREE@colsepwidth| & the width between columns of the cartan coefficients box \\
-% |\DYNTREE@dynboxheight| & the height (baseline to top) of the cartan coefficients box \\
-% |\DYNTREE@dynboxdepth| & the depth (baseline to bottom) of the cartan coefficients box \\
-% |\DYNTREE@dynboxvlen| & the full vertical height of a cartan coefficients box \\
-% |\DYNTREE@dynboxwidth| & the width of a dynbox (calculated based on numroots) \\
-% \end{tabular}
-%
-% \begin{macrocode}
-\newlength{\DYNTREE@widechar}%
-\newlength{\DYNTREE@thinchar}%
-\newlength{\DYNTREE@cartancoefwidth}%
-\newlength{\DYNTREE@marginwidth}%
-\newlength{\DYNTREE@colsepwidth}%
-\newlength{\DYNTREE@dynboxheight}%
-\newlength{\DYNTREE@dynboxdepth}%
-\newlength{\DYNTREE@dynboxvlen}%
-\newlength{\DYNTREE@dynboxwidth}%
-% \end{macrocode}
-%
-% Now that they are declared, initialize the ``exterior" ones
-%
-% \begin{macrocode}
-\settowidth{\DYNTREE@widechar}{$-1$}%
-\settowidth{\DYNTREE@thinchar}{$1$}%
-\setlength{\DYNTREE@cartancoefwidth}%
- {\DYNTREE@widechar*1/2 + \DYNTREE@thinchar*1/2}%
-\settowidth{\DYNTREE@marginwidth}%
- {$\begin{array}{|c|}\hline 1 \\ \hline \end{array}$}%
- \addtolength{\DYNTREE@marginwidth}{-\DYNTREE@thinchar}%
-\settowidth{\DYNTREE@colsepwidth}%
- {$\begin{array}{|cc|}\hline 1 & 1 \\ \hline \end{array}$}%
- \addtolength{\DYNTREE@colsepwidth}{-\DYNTREE@marginwidth - \DYNTREE@thinchar*2}%
-\settoheight{\DYNTREE@dynboxheight}%
- {$\begin{array}{|c|}\hline 1 \\ \hline \end{array}$}%
-\settodepth{\DYNTREE@dynboxdepth}%
- {$\begin{array}{|c|}\hline 1 \\ \hline \end{array}$}%
-\setlength{\DYNTREE@dynboxvlen}{\DYNTREE@dynboxheight + \DYNTREE@dynboxdepth}%
-% \end{macrocode}
-%
-% and now for convenience and error testing, print them out
-%
-% \makeatletter
-% \begin{tabular}{rl}
-% widechar: & \the\DYNTREE@widechar \\
-% thinchar: & \the\DYNTREE@thinchar \\
-% cartancoefwidth: & \the\DYNTREE@cartancoefwidth \\
-% marginwidth: & \the\DYNTREE@marginwidth \\
-% colsepwidth: & \the\DYNTREE@colsepwidth \\
-% dynboxheight & \the\DYNTREE@dynboxheight \\
-% dynboxdepth & \the\DYNTREE@dynboxdepth \\
-% dynboxvlen & \the\DYNTREE@dynboxvlen \\
-% \end{tabular}
-% \makeatother
-%
-%
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
-%\subsubsection{Dynkin Tree Variables}
-% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-% These variables are specific to the actual creation of the tree structure.
-%
-% \begin{tabular}{lp{0.55\textwidth}}
-% {\bf \Large counters} \\
-% |DYNTREE@numlevel| & the number of levels in the tree \\
-% |DYNTREE@nextlevel| & the number of the next level \\
-% |DYNTREE@numboxes| & counter for counting number of boxes in a row \\
-% |DYNTREE@nextnumboxes| & counter for counting number of boxes in the next row \\
-% |DYNTREE@target| & used to record the `targeted' array element when sorting \\
-% |DYNTREE@listlen| & the length of the list of descendents \\
-% |DYNTREE@xCoord| & the x coordinate in scaled points \\
-% |DYNTREE@yCoord| & the y coordinate in scaled points \\
-% |DYNTREE@xPos| & the x coordinate in scaled points \\
-% |DYNTREE@yPos| & the y coordinate in scaled points \\
-% |DYNTREE@xComp| & the x coordinate in scaled points \\
-% |DYNTREE@yComp| & the y coordinate in scaled points \\
-% |DYNTREE@leftX| & the left most x coordinate in scaled points \\
-% |DYNTREE@ct| & generic counter \\
-% |DYNTREE@counter| & generic counter \\
-% |DYNTREE@index| & generic counter \\
-% |DYNTREE@root| & the root number \\
-% \end{tabular}
-%
-% \begin{tabular}{lp{0.55\textwidth}}
-% {\bf \Large lengths} \\
-% |\DYNTREE@dynboxsep| & the distance between dynkin boxes \\
-% |\DYNTREE@levelsep| & the distances between each level (from dynkin box bottom to top of next layer's dynbox)
-% \\
-% |\DYNTREE@leftmostX| & the left most x value \\
-% |\DYNTREE@rightmostX| & the right most x value \\
-% |\DYNTREE@unitlen| & the unit length value before altering (to allow it to be restored) \\
-% |\DYNTREE@templen| & temporary length storage \\
-% |\DYNTREE@holdlen| & temporary length storage \\
-% \end{tabular}
-%
-% \begin{tabular}{lp{0.55\textwidth}}
-% {\bf \Large commands} \\
-% |\DYNTREE@treestop| & indicates the point where the gobbler stops reading (to allow \LaTeX to properly
-% read all the data. Its value is |\&\&\&| \\
-% |\DYNTREE@treeend| & indicates the end of the tree. It is in the definition of the gobbler.
-% It has a value of |\%\%\%| \\
-% \end{tabular}
-%
-%
-% \begin{macro}{\lend}
-% \begin{macro}{\dynbox}
-%
-% And there are two external commands:
-%
-% \begin{tabular}{lp{0.75\textwidth}}
-% |\lend| & indicates the end of one tree level. The value is never used: this token is used as
-% a delimiter by the user and the code. Its value, which should never be typed,
-% is |\&\%\&\%| \\
-% |\dynbox| & indicates the start of a dynbox. The value is never used: this token is purely for
-% delimiting the start of the dynbox by the user; it is only defined to satisfy the
-% |\ifthenelse| statement \\
-% \end{tabular}
-% \end{macro}
-% \end{macro}
-%
-% \begin{macrocode}
-\newcounter{DYNTREE@numlevel}%
-\newcounter{DYNTREE@nextlevel}%
-\newcounter{DYNTREE@numboxes}%
-\newcounter{DYNTREE@nextnumboxes}%
-\newcounter{DYNTREE@target}%
-\newcounter{DYNTREE@listlen}%
-\newcounter{DYNTREE@xCoord}%
-\newcounter{DYNTREE@yCoord}%
-\newcounter{DYNTREE@xPos}%
-\newcounter{DYNTREE@yPos}%
-\newcounter{DYNTREE@xComp}%
-\newcounter{DYNTREE@yComp}%
-\newcounter{DYNTREE@leftX}%
-\newcounter{DYNTREE@ct}%
-\newcounter{DYNTREE@counter}%
-\newcounter{DYNTREE@index}%
-\newcounter{DYNTREE@root}%
-\newlength{\DYNTREE@dynboxsep}%
-\newlength{\DYNTREE@levelsep}%
-\newlength{\DYNTREE@leftmostX}%
-\newlength{\DYNTREE@rightmostX}%
-\newlength{\DYNTREE@unitlen}%
-\newlength{\DYNTREE@templen}%
-\newlength{\DYNTREE@holdlen}%
-\newcommand{\DYNTREE@treestop}{\&\&\&}%
-\newcommand{\DYNTREE@treeend}{\%\%\%}%
-\newcommand{\lend}{\&\%\&\%}%
-\newcommand{\dynbox}{}%
-% \end{macrocode}
-%
-% Now that they are declared, initialize the ``exterior" ones
-%
-% \begin{macrocode}
-\setlength{\DYNTREE@dynboxsep}{\DYNTREE@colsepwidth}%
-\setlength{\DYNTREE@levelsep}{1cm}%
-% \end{macrocode}
-%
-%
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
-%\subsection{The Tree Eater}
-% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-% While the dynkin tree structure resembles that of an environment, it actually consists of a \LaTeX command that
-% consumes the data, sorts it, and displays the proper items. The basis of this consumption are several
-% ``gobblers"---the first of which eats the tree one level at a time
-%
-%
-% \begin{macrocode}
-\def\DYNTREE@gobbletree#1\lend#2\DYNTREE@treeend{%
-% \end{macrocode}
-% Before the level can be processed, several things must be adjusted. First, since a new level is beginning
-% the counter must be incremented by one
-% \begin{macrocode}
-\addtocounter{DYNTREE@numlevel}{1}%
-% \end{macrocode}
-% initialize the number of boxes for this level
-% \begin{macrocode}
-\setcounter{DYNTREE@numboxes}{0}%
-% \end{macrocode}
-% initialize the number of boxes for the next level
-% \begin{macrocode}
-\setcounter{DYNTREE@nextnumboxes}{0}%
-% \end{macrocode}
-% Process the level:
-% \begin{macrocode}
-\DYNTREE@gobbledynboxes#1\lend%
-% \end{macrocode}
-% \iffalse
-% \makeatletter
-% \begin{tabular}{lp{.55\textwidth}}
-% \multicolumn{2}{l}{{\bf ERROR CHECK}} \\
-% level: & \arabic{DYNTREE@numlevel} \\
-% boxes: & \arabic{DYNTREE@numboxes} \\
-% \end{tabular}
-% \makeatother
-% \fi
-% Record the number of boxes for this level
-% \begin{macrocode}
-\expandafter\xdef%
- \csname DYNTREE@level@\roman{DYNTREE@numlevel}@numbox\endcsname%
- {\arabic{DYNTREE@numboxes}}%
-% \end{macrocode}
-% Now check for the signal to stop processing
-% \begin{macrocode}
-\ifthenelse{ \equal{#2}{\DYNTREE@treestop} }%
- {%
-% \end{macrocode}
-% The End---just do nothing
-% \begin{macrocode}
- }%
-% Else
- {%
-% \end{macrocode}
-% continue processing levels until the end of the tree
-% \begin{macrocode}
- \DYNTREE@gobbletree#2\DYNTREE@treeend%
- }%
-}%
-% \end{macrocode}
-%
-%
-%
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
-%\subsection{The Box Eater}
-% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-% The second ``gobbler" eats the boxes one by one:
-%
-% \begin{macrocode}
-\def\DYNTREE@gobbledynboxes#1\dynbox#2#3#4{%
-% \end{macrocode}
-% increment the number of boxes
-% \begin{macrocode}
-\addtocounter{DYNTREE@numboxes}{1}%
-% \end{macrocode}
-% \iffalse
-%! boxnum: \arabic{DYNTREE@numboxes}
-% \fi
-% Store the boxes for this level in registers
-% \begin{macrocode}
-\expandafter\newbox%
- \csname DYNTREE@box@\roman{DYNTREE@numlevel}@\roman{DYNTREE@numboxes}\endcsname%
-\expandafter\setbox%
- \csname DYNTREE@box@\roman{DYNTREE@numlevel}@\roman{DYNTREE@numboxes}\endcsname=%
- \hbox{$\begin{array}{|*{\DYNTREE@numroots}{c}|}\hline #2 \\ \hline \end{array}$}%
-% \end{macrocode}
-% Calculate the X value for each descendent and place in sorted list
-%
-% * Get the length of the list
-% \begin{macrocode}
-\listlenstore{DYNTREE@listlen}{#3}%
-\expandafter\xdef
- \csname DYNTREE@childline@\roman{DYNTREE@numlevel}@\roman{DYNTREE@numboxes}@boxnum\endcsname%
- {\arabic{DYNTREE@listlen}}%
-\ifthenelse{\value{DYNTREE@listlen} > \DYNTREE@numroots}%
- {%
- \PackageError{dyntree}%
- {%
- Length of descendant of \arabic{DYNTREE@numboxes}%
- on level \arabic{DYNTREE@numlevel} exceeds number of roots%
- (\DYNTREE@numroots)%
- }%
- }%
-% Else
- {}%
-% \end{macrocode}
-% * store the list in a temp variable for convenience in typing, store it more permanently for use later on.
-% \begin{macrocode}
-\liststore{#3}{DYNTREE@templist@}%
-\liststore{#3}%
- {DYNTREE@childlist@\roman{DYNTREE@numlevel}@\roman{DYNTREE@numboxes}@}%
-% \end{macrocode}
-% * go through the list and generate the sorted 'array' |DYNTREE@level@|\meta{level}|@|\meta{boxnum}|@X|
-% \begin{macrocode}
-\setcounter{DYNTREE@ct}{1}%
-\whiledo{ \NOT \(\value{DYNTREE@ct} > \value{DYNTREE@listlen}\) \AND
- \NOT\(\value{DYNTREE@ct} > \DYNTREE@numroots\) }%
- {%
-% \end{macrocode}
- % need to store the `root' value in a counter to retrieve the data
-% \begin{macrocode}
- \setcounter{DYNTREE@counter}{\csname DYNTREE@templist@\roman{DYNTREE@ct}\endcsname}%
-% \end{macrocode}
- % check that the number submitted is within the allowed range
-% \begin{macrocode}
- \ifthenelse{ \(\value{DYNTREE@counter} > \DYNTREE@numroots\) \OR
- \(\value{DYNTREE@counter} < 1\) }%
- {%
- \ifthenelse{\value{DYNTREE@counter} = 0}%
- {%
-% \end{macrocode}
- % Do nothing - this is the last level
-% \begin{macrocode}
- }%
- % Else
- {%
- \PackageError{dyntree}%
- {%
- Descendant root of \arabic{DYNTREE@numboxes} on level%
- \arabic{DYNTREE@numlevel} out of bounds%
- (\arabic{DYNTREE@counter} > \DYNTREE@numroots)%
- }%
- }%
- }%
- % Else
- {%
-% \end{macrocode}
- % temporarily store the length
-% \begin{macrocode}
- \setlength{\DYNTREE@templen}%
- {\csname DYNTREE@level@\roman{DYNTREE@numlevel}@\roman{DYNTREE@numboxes}@X\endcsname}%
- \addtolength{\DYNTREE@templen}%
- {\csname DYNTREE@rootX@\roman{DYNTREE@counter}\endcsname*(-1)}%
-% \end{macrocode}
- % adjust the left most length
-% \begin{macrocode}
- \ifthenelse{\DYNTREE@templen < \DYNTREE@leftmostX}%
- {%
- \setlength{\DYNTREE@leftmostX}{\DYNTREE@templen}%
- }%
- % Else
- {}%
-% \end{macrocode}
- % adjust right most length
-% \begin{macrocode}
- \setlength{\DYNTREE@holdlen}{\DYNTREE@templen}%
- \addtolength{\DYNTREE@holdlen}{\DYNTREE@dynboxwidth}%
- \ifthenelse{ \DYNTREE@holdlen > \DYNTREE@rightmostX }%
- {%
- \setlength{\DYNTREE@rightmostX}{\DYNTREE@holdlen}%
- }%
- % Else
- {}%
-% \end{macrocode}
- % now store the x value for the line
-% \begin{macrocode}
- \setlength{\DYNTREE@holdlen}%
- {\expandafter\csname DYNTREE@dynboxX@\roman{DYNTREE@counter}\endcsname}%
- \addtolength{\DYNTREE@holdlen}{\DYNTREE@templen}%
- \setcounter{DYNTREE@xPos}{\DYNTREE@holdlen}%
-% \end{macrocode}
- % \iffalse
- %! \begin{tabular}{cc}
- %! rootX.\roman{DYNTREE@counter} & \csname DYNTREE@rootX@\roman{DYNTREE@counter}\endcsname \\
- %! DYNTREE@numlevel: & \arabic{DYNTREE@numlevel} \\
- %! numboxes: & \arabic{DYNTREE@numboxes} \\
- %! templen: & \the\DYNTREE@templen \\
- %! \end{tabular}
- %!
- % \fi
- % |counter| has served its purpose and may be used in another context
- %
- % add the length to the sorted 'array'
- %
- % * initialize the counter to the END of the array
-% \begin{macrocode}
- \setcounter{DYNTREE@counter}{\value{DYNTREE@nextnumboxes}}%
-% \end{macrocode}
- % * get the value of the next level
-% \begin{macrocode}
- \setcounter{DYNTREE@nextlevel}{\value{DYNTREE@numlevel} + 1}%
-% \end{macrocode}
- % * Check for array elements
-% \begin{macrocode}
- \ifthenelse{\value{DYNTREE@counter} = 0}%
- {%
-% \end{macrocode}
- % set the first element as the length
-% \begin{macrocode}
- \expandafter\xdef%
- \csname DYNTREE@level@\roman{DYNTREE@nextlevel}@i@X\endcsname%
- {\the\DYNTREE@templen}%
-% \end{macrocode}
- % increment the number of elements
-% \begin{macrocode}
- \addtocounter{DYNTREE@nextnumboxes}{1}%
- }%
- % Else
- {%
-% \end{macrocode}
- % there is at least one element
-% \begin{macrocode}
- \edef\DYNTREE@temparray%
- {\csname DYNTREE@level@\roman{DYNTREE@nextlevel}@\roman{DYNTREE@counter}@X\endcsname}%
- \edef\DYNTREE@tempinsert{\the\DYNTREE@templen}%
-% \end{macrocode}
- % \iffalse
- %! \begin{tabular}{cc}
- %! nextnumboxes: & \arabic{DYNTREE@nextnumboxes} \\
- %! nextlevel: & \arabic{DYNTREE@nextlevel} \\
- %! counter: & \arabic{DYNTREE@counter} \\
- %! temparray: & \DYNTREE@temparray \\
- %! level\&\roman{DYNTREE@nextlevel}\&\roman{DYNTREE@counter}\&X
- %! &
- %! \csname DYNTREE@level@\roman{DYNTREE@nextlevel}@\roman{DYNTREE@counter}@X\endcsname
- %! \\
- %! tempinsert: & \DYNTREE@tempinsert \\
- %! \end{tabular}
- % \fi
- % find where element should be inserted
-% \begin{macrocode}
- \whiledo{ \(\value{DYNTREE@counter} > 0\) \AND
- \lengthtest{\DYNTREE@tempinsert < \DYNTREE@temparray} }%
- {%
- \edef\DYNTREE@temparray%
- {\csname DYNTREE@level@\roman{DYNTREE@nextlevel}@\roman{DYNTREE@counter}@X\endcsname}%
- \addtocounter{DYNTREE@counter}{-1}%
- }%
-% \end{macrocode}
- % the thing needs to be inserted at \value{DYNTREE@counter} + 1
-% \begin{macrocode}
- \setcounter{DYNTREE@target}{\value{DYNTREE@counter} + 1}%
-% \end{macrocode}
- % \iffalse
- %! \begin{tabular}{cc}
- %! target: \arabic{DYNTREE@target} \\
- %! temparray: & \DYNTREE@temparray \\
- %! tempinsert: & \DYNTREE@tempinsert \\
- %! \end{tabular}
- %!
- %!
- % \fi
- % if they aren't equal, move from target to nextnumboxes up to target+1 to nextnumboxes+1
-% \begin{macrocode}
- \ifthenelse{ \NOT \lengthtest{\DYNTREE@tempinsert = \DYNTREE@temparray} }%
- {%
- \setcounter{DYNTREE@counter}{\value{DYNTREE@nextnumboxes} + 1}%
- \whiledo{ \value{DYNTREE@counter} > \value{DYNTREE@target} }%
- {%
-% \end{macrocode}
- % get the value in the array spot one before
-% \begin{macrocode}
- \addtocounter{DYNTREE@counter}{-1}%
- \edef\DYNTREE@tempswap%
- {%
- \csname DYNTREE@level@\roman{DYNTREE@nextlevel}@\roman{DYNTREE@counter}@X\endcsname%
- }%
-% \end{macrocode}
- % store this value in the next array spot
-% \begin{macrocode}
- \addtocounter{DYNTREE@counter}{1}%
- \expandafter\xdef%
- \csname DYNTREE@level@\roman{DYNTREE@nextlevel}@\roman{DYNTREE@counter}@X\endcsname%
- {\DYNTREE@tempswap}%
- \addtocounter{DYNTREE@counter}{-1}%
- }%
-% \end{macrocode}
- % insert the original
-% \begin{macrocode}
- \expandafter\xdef%
- \csname DYNTREE@level@\roman{DYNTREE@nextlevel}@\roman{DYNTREE@target}@X\endcsname%
- {\DYNTREE@tempinsert}%
-% \end{macrocode}
- % increment the number of boxes in the next level
-% \begin{macrocode}
- \addtocounter{DYNTREE@nextnumboxes}{1}%
- }%
- % Else
- {%
-% \end{macrocode}
- % Do nothing
-% \begin{macrocode}
- }%
- }%
- }%
- \addtocounter{DYNTREE@ct}{1}%
- }%
-\ifthenelse{\equal{#4}{\lend}}%
- {%
- }%
-% Else
- {%
-% \end{macrocode}
-% % Eat the boxes until there are no more
-% \begin{macrocode}
- \DYNTREE@gobbledynboxes#4%
- }%
-}%
-% \end{macrocode}
-%
-%
-%
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
-%\subsection{The Dyntree Environment}
-% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
-% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-% Dynkin Tree Environment
-%
-%
-% \begin{macrocode}
-\def\start#1#2#3\finish#4%
-{%
-\ifthenelse{\equal{#1}{#4} \AND \equal{#4}{dyntree}}%
- {%
- \providecommand{\DYNTREE@numroots}{#2}%
-% \end{macrocode}
- % \iffalse
- %! \DYNTREE@numroots
- % \fi
- % Initialize Interior Dynkin Box Variables
-% \begin{macrocode}
- \setlength{\DYNTREE@dynboxwidth}
- {%
- \DYNTREE@marginwidth +
- \DYNTREE@cartancoefwidth*\DYNTREE@numroots +
- \DYNTREE@colsepwidth*(\DYNTREE@numroots-1)
- }%
-% \end{macrocode}
- % Initialize Interior Dynkin Tree Variables
-% \begin{macrocode}
- \setlength{\DYNTREE@leftmostX}{0pt}%
- \setlength{\DYNTREE@rightmostX}{\DYNTREE@dynboxwidth}%
-% \end{macrocode}
- % the highest left starts at zero, so initialize this value
-% \begin{macrocode}
- \expandafter\gdef\csname DYNTREE@level@i@i@X\endcsname{0pt}%
-% \end{macrocode}
- % There are no levels, so initialize |numlevel| to zero
-% \begin{macrocode}
- \setcounter{DYNTREE@numlevel}{0}%
-% \end{macrocode}
- % Determine the root lines and dynkin box offsets
-% \begin{macrocode}
- \setcounter{DYNTREE@ct}{1}%
- \whiledo{\NOT \(\value{DYNTREE@ct}>\DYNTREE@numroots\)}%
- {%
-% \end{macrocode}
- % Calculate the length and store it in a temporary length
-% \begin{macrocode}
- \setlength{\DYNTREE@templen}%
- {%
- (\DYNTREE@dynboxwidth + \DYNTREE@dynboxsep)*\value{DYNTREE@ct}%
- -(\DYNTREE@dynboxwidth + \DYNTREE@dynboxsep)*1/2%
- -(\DYNTREE@dynboxwidth + \DYNTREE@dynboxsep)*\DYNTREE@numroots/2%
- }%
-% \end{macrocode}
- % \iffalse
- %! ct: \arabic{DYNTREE@ct}
- %! templen: \the\DYNTREE@templen
- % \fi
- % store the actual length in a command
-% \begin{macrocode}
- \expandafter\xdef\csname DYNTREE@rootX@\roman{DYNTREE@ct}\endcsname%
- {\the\DYNTREE@templen}%
-% \end{macrocode}
- % Calculate the dynkin box x offset and store it in a temporary length
-% \begin{macrocode}
- \setlength{\DYNTREE@templen}%
- {%
- \DYNTREE@dynboxwidth/2/\DYNTREE@numroots +
- \DYNTREE@dynboxwidth*(\value{DYNTREE@ct}-1)/\DYNTREE@numroots
- }%
-% \end{macrocode}
- % store the actual length in a command
-% \begin{macrocode}
- \expandafter\xdef\csname DYNTREE@dynboxX@\roman{DYNTREE@ct}\endcsname%
- {\the\DYNTREE@templen}%
-% \end{macrocode}
- % \iffalse
- % Print the Lengths
- %! DYNTREE@rootX@\roman{DYNTREE@ct}: \expandafter\csname DYNTREE@rootX@\roman{DYNTREE@ct}\endcsname
- %!
- %! DYNTREE@dynboxX@\roman{DYNTREE@ct}: \expandafter\csname DYNTREE@dynboxX@\roman{DYNTREE@ct}\endcsname
- % \fi
-% \begin{macrocode}
- \addtocounter{DYNTREE@ct}{1}%
- }%
-% \end{macrocode}
- % \iffalse
- % dynboxwidth: \the\DYNTREE@dynboxwidth
- % \fi
- % Eat the tree
-% \begin{macrocode}
- \DYNTREE@gobbletree#3\DYNTREE@treestop\DYNTREE@treeend%
-% \end{macrocode}
- % \iffalse
- %! numlevels: \arabic{DYNTREE@numlevel}
- % \fi
- % Now the data has been stored, Draw The Tree:
- %
- % store the current unit length to restore when finished
-% \begin{macrocode}
- \setlength{\DYNTREE@unitlen}{\unitlength}%
- \setlength{\unitlength}{1sp}%
-% \end{macrocode}
- % get the width of the picture
-% \begin{macrocode}
- \setcounter{DYNTREE@xCoord}{\DYNTREE@rightmostX - \DYNTREE@leftmostX}%
-% \end{macrocode}
- % store the leftmost point as a counter
-% \begin{macrocode}
- \setcounter{DYNTREE@leftX}{\DYNTREE@leftmostX}%
-% \end{macrocode}
- % get the height of the picture
-% \begin{macrocode}
- \setcounter{DYNTREE@yCoord}%
- {%
- \DYNTREE@dynboxvlen*\value{DYNTREE@numlevel} +
- \DYNTREE@levelsep*(\value{DYNTREE@numlevel} - 1)
- }%
- \begin{picture}%
- (\arabic{DYNTREE@xCoord},\arabic{DYNTREE@yCoord})%
- (\value{DYNTREE@leftX},0)%
- \setcounter{DYNTREE@ct}{1}%
- \whiledo{\NOT \(\value{DYNTREE@ct} > \value{DYNTREE@numlevel}\)}%
- {%
- \setcounter{DYNTREE@counter}{1}%
-% \end{macrocode}
- % get the y coordinate as a length
-% \begin{macrocode}
- \setlength{\DYNTREE@templen}%
- {%
- \DYNTREE@dynboxvlen*\value{DYNTREE@numlevel}
- - \DYNTREE@dynboxvlen*\value{DYNTREE@ct}
- + \DYNTREE@levelsep*\value{DYNTREE@numlevel}
- - \DYNTREE@levelsep*\value{DYNTREE@ct}
- + \DYNTREE@dynboxdepth
- }%
-% \end{macrocode}
- % convert the length to an integer in scaled points (sp)
-% \begin{macrocode}
- \setcounter{DYNTREE@yCoord}{\DYNTREE@templen}%
- \def\DYNTREE@tempboxnum{\csname DYNTREE@level@\roman{DYNTREE@ct}@numbox\endcsname}%
- \whiledo{\NOT \( \value{DYNTREE@counter} > \DYNTREE@tempboxnum \)}%
- {%
-% \end{macrocode}
- % grab the value of the x coordinate (it's a length but not stored as one)
-% \begin{macrocode}
- \xdef\DYNTREE@tempxCoord%
- {%
- \expandafter%
- \csname DYNTREE@level@\roman{DYNTREE@ct}@\roman{DYNTREE@counter}@X\endcsname%
- }%
-% \end{macrocode}
- % convert x coordinate to a length
-% \begin{macrocode}
- \setlength{\DYNTREE@holdlen}{\DYNTREE@tempxCoord}%
-% \end{macrocode}
- % convert length to an integer in scaled points (sp)
-% \begin{macrocode}
- \setcounter{DYNTREE@xCoord}{\DYNTREE@holdlen}%
-% \end{macrocode}
- % place each dynkin box
-% \begin{macrocode}
- \put(\arabic{DYNTREE@xCoord},\arabic{DYNTREE@yCoord})%
- {%
- \expandafter%
- \copy\csname DYNTREE@box@\roman{DYNTREE@ct}@\roman{DYNTREE@counter}\endcsname%
- }%
-% \end{macrocode}
- % go through the descendants and place the lines
-% \begin{macrocode}
- \setcounter{DYNTREE@listlen}%
- {%
- \expandafter%
- \csname DYNTREE@childline@\roman{DYNTREE@ct}@\roman{DYNTREE@counter}@boxnum\endcsname%
- }%
- \setcounter{DYNTREE@index}{1}%
- \whiledo{\NOT \(\value{DYNTREE@index} > \value{DYNTREE@listlen}\)}%
- {%
- \xdef\DYNTREE@childroot%
- {%
- \expandafter%
- \csname DYNTREE@childlist@\roman{DYNTREE@ct}@\roman{DYNTREE@counter}@\roman{DYNTREE@index}\endcsname%
- }%
- \ifthenelse{\NOT \DYNTREE@childroot = 0 }%
- {%
- \setcounter{DYNTREE@root}{\DYNTREE@childroot}%
- \setcounter{DYNTREE@xPos}{\value{DYNTREE@xCoord}}%
- \setcounter{DYNTREE@xComp}{\value{DYNTREE@xCoord}}%
- \setcounter{DYNTREE@yPos}{\value{DYNTREE@yCoord}}%
- \setcounter{DYNTREE@yComp}{\value{DYNTREE@yCoord}}%
- \xdef\DYNTREE@temprootX%
- {\expandafter\csname DYNTREE@rootX@\roman{DYNTREE@root}\endcsname}%
- \setlength{\DYNTREE@templen}{\DYNTREE@temprootX}%
- \addtocounter{DYNTREE@xPos}{\DYNTREE@templen*(-1)}%
- \xdef\DYNTREE@dynoffset%
- {\expandafter\csname DYNTREE@dynboxX@\roman{DYNTREE@root}\endcsname}%
- \setlength{\DYNTREE@templen}{\DYNTREE@dynoffset}%
- \addtocounter{DYNTREE@xPos}{\DYNTREE@templen}%
- \addtocounter{DYNTREE@xComp}{\DYNTREE@templen}%
- \setlength{\DYNTREE@templen}{1pt}% for frame thickness
- \addtocounter{DYNTREE@yPos}%
- {\DYNTREE@levelsep*(-1) - \DYNTREE@dynboxdepth - \DYNTREE@templen}%
- \addtocounter{DYNTREE@yComp}{\DYNTREE@dynboxdepth*(-1) - \DYNTREE@templen}%
- \put(0,0)%
- {%
- \drawline%
- (\arabic{DYNTREE@xComp},\arabic{DYNTREE@yComp})%
- (\arabic{DYNTREE@xPos},\arabic{DYNTREE@yPos})%
- }%
- }%
- % Else
- {%
- }%
- \addtocounter{DYNTREE@index}{1}%
- }%
- \addtocounter{DYNTREE@counter}{1}%
- }%
- \addtocounter{DYNTREE@ct}{1}%
- }%
- \end{picture}%
-% \end{macrocode}
- % restore the unit length to original value
-% \begin{macrocode}
- \setlength{\unitlength}{\DYNTREE@unitlen}%
-% \end{macrocode}
-% \iffalse
- %!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Error Check BEGIN
- %! \setcounter{DYNTREE@ct}{1}
- %! \whiledo{\NOT \(\value{DYNTREE@ct} > \value{DYNTREE@numlevel}\)}%
- %! {%
- %! \setcounter{act}{1}%
- %! \def\DYNTREE@tempboxnum{\csname DYNTREE@level@\roman{DYNTREE@ct}@numbox\endcsname}
- %! \whiledo{\NOT \( \value{act} > \DYNTREE@tempboxnum \)}%
- %! {%
- %! level.\roman{DYNTREE@ct}.\roman{act}.x: \csname DYNTREE@level@\roman{DYNTREE@ct}@\roman{act}@X\endcsname;
- %!
- %! \addtocounter{act}{1}
- %! }
- %! \addtocounter{DYNTREE@ct}{1}%
- %! }%
- %!
- %!
- %! \setcounter{DYNTREE@ct}{1}%
- %! \whiledo{\NOT \(\value{DYNTREE@ct}>\value{DYNTREE@numlevel}\)}%
- %! {%
- %! \setcounter{act}{1}%
- %! \def\DYNTREE@tempboxnum{\csname DYNTREE@level@\roman{DYNTREE@ct}@numbox\endcsname}%
- %! \whiledo{\NOT \(\value{act}>\DYNTREE@tempboxnum\)}%
- %! {%
- %! level: \arabic{DYNTREE@ct}, box: \arabic{act};
- %! \expandafter\copy\csname DYNTREE@box@\roman{DYNTREE@ct}@\roman{act}\endcsname
- %!
- %! \addtocounter{act}{1}%
- %! }%
- %! \addtocounter{DYNTREE@ct}{1}%
- %! }%
- %!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Error Check END
-% \fi
-% \begin{macrocode}
- }%
-% Else
- {%
- \PackageError{dyntree}{Invalid start(#1)/finish(#4) call}%
- }%
-}%
-% \end{macrocode}
-%
-%
-% \Finale
-\endinput \ No newline at end of file
+% \iffalse
+%
+%<package>\NeedsTeXFormat{LaTeX2e}[1999/12/01]
+%<package>\ProvidesPackage{dyntree}
+%<package> [2023/05/03 v1 Dynkin Tree Typsetting]
+%<package>\RequirePackage{coollist}
+%<package>\RequirePackage{calc}
+%<package>\RequirePackage{epic}
+%<package>\RequirePackage{eepic}
+%<package>\RequirePackage{amsmath}
+%<package>\RequirePackage{amssymb}
+%
+% Update on 2023/05/03 purely to clarify the license; no code changes.
+% This package is released under the GNU LGPL.
+%
+%<*driver>
+\documentclass{ltxdoc}
+\usepackage{dyntree}
+\EnableCrossrefs
+\CodelineIndex
+\RecordChanges
+\begin{document}
+\DocInput{dyntree.dtx}
+\end{document}
+%</driver>
+% \fi
+%
+% \iffalse meta-comment
+% remove this comment to get a checksum
+% \CheckSum{0}
+% \fi
+%
+%% \CharacterTable
+%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
+%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
+%% Digits \0\1\2\3\4\5\6\7\8\9
+%% Exclamation \! Double quote \" Hash (number) \#
+%% Dollar \$ Percent \% Ampersand \&
+%% Acute accent \' Left paren \( Right paren \)
+%% Asterisk \* Plus \+ Comma \,
+%% Minus \- Point \. Solidus \/
+%% Colon \: Semicolon \; Less than \<
+%% Equals \= Greater than \> Question mark \?
+%% Commercial at \@ Left bracket \[ Backslash \\
+%% Right bracket \] Circumflex \^ Underscore \_
+%% Grave accent \` Left brace \{ Vertical bar \|
+%% Right brace \} Tilde \~}
+%
+% \changes{v1.0}{2006/08/14}{Initial Release}
+%
+% \GetFileInfo{dyntree.sty}
+%
+% \DoNotIndex{\#,\$,\%,\&,\@,\\,\{,\},\^,\_,\~,\ ,\!,\(,\),\,}
+% \DoNotIndex{\@ne,\expandafter}
+% \DoNotIndex{\advance,\begingroup,\catcode,\closein,\errmessage}
+% \DoNotIndex{\newcommand,\renewcommand,\providecommand}
+% \DoNotIndex{\closeout,\day,\def,\edef,\xdef,\gdef,\let,\empty,\endgroup}
+% \DoNotIndex{\newcounter,\providecounter,\addtocounter,\setcounter,\stepcounter,\value,\arabic,\the}
+% \DoNotIndex{\if,\fi,\ifthenelse,\else,\setboolean,\boolean,\newboolean,\provideboolean,\equal,\AND,\OR,\NOT,\whiledo}
+% \DoNotIndex{\ifcase,\ifcat,\or,\else}
+% \DoNotIndex{\par,\parbox,\mbox,\hbox,\begin,\end,\nabla,\partial}
+% \DoNotIndex{\overline,\bar,\small,\tiny,\mathchoice,\scriptsize,\textrm,\texttt}
+% \DoNotIndex{\alpha,\beta,\gamma,\epsilon,\varepsilon,\delta,\zeta,\eta,\theta,\vartheta,\iota,\kappa,\lambda,\mu,\nu}
+% \DoNotIndex{\xi,\omicron,\pi,\varpi,\rho,\varrho,\sigma,\tau,\upsilon,\phi,\varphi,\chi,\psi,\omega}
+% \DoNotIndex{\Delta,\Gamma,\Theta,\Lambda,\Xi,\Pi,\Sigma,\Phi,\Psi,\Omega}
+% \DoNotIndex{\digamma,\lceil,\rceil,\lfloor,\rfloor,\left,\right,\inp,\inb,\inbr,\inap,\nop}
+% \DoNotIndex{\sum,\prod,\int,\log,\ln,\exp,\sin,\cos,\tan,\csc,\sec,\cot,\arcsin,\arccos,\arctan,\det}
+% \DoNotIndex{\sinh,\cosh,\tanh,\csch,\sech,\coth,\arcsinh,\arccosh,\arctanh}
+% \DoNotIndex{\mod,\max,\min,\gcd,\lcm,\wp,\arg,\dots,\infty,}
+% \DoNotIndex{\frac,\binom,\braket,\@@atop}
+% \DoNotIndex{\cdot,\ldots,\tilde,\times,\dagger,\relax}
+% \DoNotIndex{\mathbb,\roman,\bf,\mathord,\cal,\DeclareMathOperator,\PackageError,\PackageWarning}
+% \DoNotIndex{\csname,\endcsname,\ifx,\ifnum}
+% \DoNotIndex{\makeatother,\makeatletter}
+% \DoNotIndex{\copy,\setbox,\usebox,\newbox}
+% \DoNotIndex{\addtolength,\setlength,\newlength,\unitlength,\settoheight,\settodepth,\settowidth,\lengthtest}
+% \DoNotIndex{\drawline,\line,\put}
+% \DoNotIndex{
+% \DYNTREE@temparray,\DYNTREE@templen,\DYNTREE@tempboxnum,\DYNTREE@tempxCoord,
+% \DYNTREE@tempinsert,\DYNTREE@temproot,\DYNTREE@tempswap,\DYNTREE@temprootX}
+%
+% \title{The \textsf{dyntree} package\thanks{This document
+% corresponds to \textsf{dyntree}~\fileversion,
+% dated~\filedate.}}
+% \author{nsetzer}
+%
+% \maketitle
+%
+% \setcounter{IndexColumns}{2}
+% \StopEventually{\PrintChanges\PrintIndex}
+%
+% The \textsf{dyntree} package is intended for users needing to typeset a dykin tree---a group theoretical construct
+% consisting of cartan coefficients in boxes connected by a series of lines.
+% This package makes it easy for the user to generate these objects by allowing the user to specify only the
+% cartan coefficients and the root number(s) that they connect to below.
+%
+% This package requires the \textsf{coollist} package, which is not a standard \LaTeX package but is available at CTAN.
+%
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%\section{Basics}
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% To create a Dynkin Tree Diagram, the syntax is as follows \DescribeEnv{dyntree} \DescribeMacro{\dynbox}:
+%
+% |\start{dyntree}|\marg{num\_roots}
+%
+% |\dynbox|\marg{cartan\_coefficients}\marg{cvs\_descendant\_root\_list} |\lend|
+%
+% $\vdots$
+%
+% |\finish{dyntree}|
+%
+% where
+%
+% \meta{num\_roots} is an integer indicating the number of simple roots
+%
+% \meta{cartan\_coefficients} is an \emph{ampersand} (\&) delimited list of cartan coefficients
+% (the number of which \emph{must} be equal to \meta{num\_roots}
+%
+% \meta{cvs\_descendant\_root\_list} is a comma delimited list of integers indicating which simple root can be lowered
+% from this box. The simple roots are numbered from left to right starting at $1$ and ending at \meta{num\_roots}
+%
+%
+% Thus, if the group of interest had $3$ simple roots, each |\dynbox| would have a \meta{cartan\_coefficients} with three entries; that is, it would be a list with three integers as in
+%
+% \begin{center}
+% |1 & 0 & 0|
+% \end{center}
+%
+% and the list \meta{cvs\_descendant\_root\_list} would have at most three entries (but it need not have exactly three entries) with the entries being between $1$ and $3$. The entry $1$ would correspond to the first (left-most) simple root being lowered, the entry $2$ the second simple root, and $3$ the third:
+%
+% \DeleteShortVerb{\|}
+% \begin{center}
+% \begin{picture}(200,70)
+% \put(20,40){simple root:}
+% \put(80,40){$\begin{array}{ccc} 1 & 2 & 3 \end{array}$}
+% \put(80,30){$\begin{array}{|ccc|} \hline 1 & 0 & 0 \\ \hline \end{array}$}
+% \end{picture}
+% \end{center}
+% \MakeShortVerb{\|}
+%
+% So, finally, an entry such as
+%
+% \begin{center}
+% |\dynbox{-1 & 0 & 0}{1,3}|
+% \end{center}
+%
+% would specify that the program should draw two lines below the box \DeleteShortVerb{\|} $\begin{array}{|ccc|} \hline 1 & 0 & 0 \\ \hline \end{array}$ \MakeShortVerb{\|}; one for the first simple root, and another for the third simple root. The resulting portion of the diagram would look like
+%
+% \begin{center}
+% \start{dyntree}{3}
+% \dynbox{-1 & 0 & 0}{1,3} \lend
+% \finish{dyntree}
+% \end{center}
+%
+% \makeatletter
+% \vspace{\DYNTREE@levelsep}
+% \makeatother
+%
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
+%\subsection{Quirks}
+% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% There are two quirks with this package, and they are
+% \begin{itemize}
+% \item{if there are multiple Dynkin Tree Diagrams required for your document, you \emph{must} enclose each tree in braces}
+% \item{The lowest state (bottom-most dynbox) must have a non-empty entry in \meta{cvs\_descendant\_root\_list} even though no lines are to be drawn from it. To meet both criteria, place a zero in this spot.}
+% \end{itemize}
+%
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
+%\subsection{Examples}
+% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% \newcounter{examples}
+% \setcounter{examples}{1}
+%
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
+%\subsubsection{Example \theexamples} \stepcounter{examples}
+% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% \begin{verbatim}
+% {
+% \start{dyntree}{2}
+% \dynbox{3 & 0}{1} \lend
+% \dynbox{1 & 1}{1,2} \lend
+% \dynbox{2 & -1}{1}
+% \dynbox{-1 & 2}{1,2} \lend
+% \dynbox{0 & 0}{1,2}
+% \dynbox{-3 & 3}{0,2} \lend
+% \dynbox{1 & -2}{1}
+% \dynbox{-2 & 1}{0,2} \lend
+% \dynbox{-1 & -1}{0,2} \lend
+% \dynbox{0 & -3}{0} \lend
+% \finish{dyntree}
+% }
+% \end{verbatim}
+%
+% {
+% \start{dyntree}{2}
+% \dynbox{3 & 0}{1} \lend
+% \dynbox{1 & 1}{1,2} \lend
+% \dynbox{2 & -1}{1}
+% \dynbox{-1 & 2}{1,2} \lend
+% \dynbox{0 & 0}{1,2}
+% \dynbox{-3 & 3}{0,2} \lend
+% \dynbox{1 & -2}{1}
+% \dynbox{-2 & 1}{0,2} \lend
+% \dynbox{-1 & -1}{0,2} \lend
+% \dynbox{0 & -3}{0} \lend
+% \finish{dyntree}
+% }
+%
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
+%\subsubsection{Example \theexamples} \stepcounter{examples}
+% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% \begin{verbatim}
+% \begin{center}
+% {
+% \start{dyntree}{3}
+% \dynbox{2 & 0 & 0}{1} \lend
+% \dynbox{0 & 1 & 0}{1,2} \lend
+% \dynbox{1 & -1 & 1}{1,3}
+% \dynbox{-2 & 2 & 0}{2} \lend
+% \dynbox{1 & 1 & -1}{1,2}
+% \dynbox{-1 & 0 & 1}{2,3} \lend
+% \dynbox{2 & -1 & 0}{1}
+% \dynbox{-1 & 2 & -1}{2}
+% \dynbox{0 & -2 & 2}{3} \lend
+% \dynbox{0 & 0 & 0}{0} \lend
+% \finish{dyntree}
+% }
+% \end{center}
+% \end{verbatim}
+%
+% \begin{center}
+% {
+% \start{dyntree}{3}
+% \dynbox{2 & 0 & 0}{1} \lend
+% \dynbox{0 & 1 & 0}{1,2} \lend
+% \dynbox{1 & -1 & 1}{1,3}
+% \dynbox{-2 & 2 & 0}{2} \lend
+% \dynbox{1 & 1 & -1}{1,2}
+% \dynbox{-1 & 0 & 1}{2,3} \lend
+% \dynbox{2 & -1 & 0}{1}
+% \dynbox{-1 & 2 & -1}{2}
+% \dynbox{0 & -2 & 2}{3} \lend
+% \dynbox{0 & 0 & 0}{0} \lend
+% \finish{dyntree}
+% }
+% \end{center}
+%
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
+%\subsubsection{Example \theexamples} \stepcounter{examples}
+% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% \begin{verbatim}
+% This is a $15$ of $SU(5)$
+%
+% \begin{center}
+% {
+% \start{dyntree}{4}
+% \dynbox{2 & 0 & 0 & 0}{1} \lend
+% \dynbox{0 & 1 & 0 & 0}{1,2} \lend
+% \dynbox{1 & -1 & 1 & 0}{1,3}
+% \dynbox{-2 & 2 & 0 & 0}{2} \lend
+% \dynbox{1 & 0 & -1 & 0}{1,4}
+% \dynbox{-1 & 0 & 1 & 0}{2,3} \lend
+% \dynbox{1 & 0 & 0 &-1}{1}
+% \dynbox{-1 & 1 & -1 & 1}{2,4}
+% \dynbox{0 & -2 & 2 & 0}{3} \lend
+% \dynbox{-1 & 1 & 0 & -1}{2}
+% \dynbox{0 & -1 & 0 & 1}{3,4} \lend
+% \dynbox{0 & -1 & 1 & -1}{3}
+% \dynbox{0 & 0 & -2 & 2}{4} \lend
+% \dynbox{0 & 0 & -1 & 0}{4} \lend
+% \dynbox{0 & 0 & 0 & -2}{0} \lend
+% \finish{dyntree}
+% }
+% \end{center}
+% \end{verbatim}
+%
+% This is a $15$ of $SU(5)$
+%
+% \begin{center}
+% {
+% \start{dyntree}{4}
+% \dynbox{2 & 0 & 0 & 0}{1} \lend
+% \dynbox{0 & 1 & 0 & 0}{1,2} \lend
+% \dynbox{1 & -1 & 1 & 0}{1,3}
+% \dynbox{-2 & 2 & 0 & 0}{2} \lend
+% \dynbox{1 & 0 & -1 & 0}{1,4}
+% \dynbox{-1 & 0 & 1 & 0}{2,3} \lend
+% \dynbox{1 & 0 & 0 &-1}{1}
+% \dynbox{-1 & 1 & -1 & 1}{2,4}
+% \dynbox{0 & -2 & 2 & 0}{3} \lend
+% \dynbox{-1 & 1 & 0 & -1}{2}
+% \dynbox{0 & -1 & 0 & 1}{3,4} \lend
+% \dynbox{0 & -1 & 1 & -1}{3}
+% \dynbox{0 & 0 & -2 & 2}{4} \lend
+% \dynbox{0 & 0 & -1 & 0}{4} \lend
+% \dynbox{0 & 0 & 0 & -2}{0} \lend
+% \finish{dyntree}
+% }
+% \end{center}
+%
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
+%\subsubsection{Example \theexamples} \stepcounter{examples}
+% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% \begin{verbatim}
+% \begin{center}
+% {
+% \start{dyntree}{2}
+% \dynbox{0 & 2}{2} \lend
+% \dynbox{1 & 0}{1,2} \lend
+% \dynbox{2 & -2}{1}
+% \dynbox{-1 & 1}{2} \lend
+% \dynbox{0 & -1}{1} \lend
+% \dynbox{-2 & 0}{0} \lend
+% \finish{dyntree}
+% }
+% \end{center}
+% \end{verbatim}
+%
+% \begin{center}
+% {
+% \start{dyntree}{2}
+% \dynbox{0 & 2}{2} \lend
+% \dynbox{1 & 0}{1,2} \lend
+% \dynbox{2 & -2}{1}
+% \dynbox{-1 & 1}{2} \lend
+% \dynbox{0 & -1}{1} \lend
+% \dynbox{-2 & 0}{0} \lend
+% \finish{dyntree}
+% }
+% \end{center}
+%
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%\section{Implementation}
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
+%\subsection{Variables and Constants}
+% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% The \textsf{dyntree} package utilizes a picture environment to create the tree. To do this it requires several
+% constant length values, as well as calculated length values and counters. These are define below.
+%
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
+%\subsubsection{Cartan Coefficients Box Variables}
+% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% The first thing to do is declare the length variables associated with a cartan coefficients box---dynbox for short.
+% These variables are
+%
+% \begin{tabular}{lp{.5\textwidth}}
+% |\DYNTREE@widechar| & the width of a $-1$ \\
+% |\DYNTREE@thinchar| & the width of a $1$ \\
+% |\DYNTREE@cartancoefwidth| & the width of a cartan coefficient (a combination of $-1$ and $1$) \\
+% |\DYNTREE@marginwidth| & the width of the margin of the cartan coefficients box \\
+% |\DYNTREE@colsepwidth| & the width between columns of the cartan coefficients box \\
+% |\DYNTREE@dynboxheight| & the height (baseline to top) of the cartan coefficients box \\
+% |\DYNTREE@dynboxdepth| & the depth (baseline to bottom) of the cartan coefficients box \\
+% |\DYNTREE@dynboxvlen| & the full vertical height of a cartan coefficients box \\
+% |\DYNTREE@dynboxwidth| & the width of a dynbox (calculated based on numroots) \\
+% \end{tabular}
+%
+% \begin{macrocode}
+\newlength{\DYNTREE@widechar}%
+\newlength{\DYNTREE@thinchar}%
+\newlength{\DYNTREE@cartancoefwidth}%
+\newlength{\DYNTREE@marginwidth}%
+\newlength{\DYNTREE@colsepwidth}%
+\newlength{\DYNTREE@dynboxheight}%
+\newlength{\DYNTREE@dynboxdepth}%
+\newlength{\DYNTREE@dynboxvlen}%
+\newlength{\DYNTREE@dynboxwidth}%
+% \end{macrocode}
+%
+% Now that they are declared, initialize the ``exterior" ones
+%
+% \begin{macrocode}
+\settowidth{\DYNTREE@widechar}{$-1$}%
+\settowidth{\DYNTREE@thinchar}{$1$}%
+\setlength{\DYNTREE@cartancoefwidth}%
+ {\DYNTREE@widechar*1/2 + \DYNTREE@thinchar*1/2}%
+\settowidth{\DYNTREE@marginwidth}%
+ {$\begin{array}{|c|}\hline 1 \\ \hline \end{array}$}%
+ \addtolength{\DYNTREE@marginwidth}{-\DYNTREE@thinchar}%
+\settowidth{\DYNTREE@colsepwidth}%
+ {$\begin{array}{|cc|}\hline 1 & 1 \\ \hline \end{array}$}%
+ \addtolength{\DYNTREE@colsepwidth}{-\DYNTREE@marginwidth - \DYNTREE@thinchar*2}%
+\settoheight{\DYNTREE@dynboxheight}%
+ {$\begin{array}{|c|}\hline 1 \\ \hline \end{array}$}%
+\settodepth{\DYNTREE@dynboxdepth}%
+ {$\begin{array}{|c|}\hline 1 \\ \hline \end{array}$}%
+\setlength{\DYNTREE@dynboxvlen}{\DYNTREE@dynboxheight + \DYNTREE@dynboxdepth}%
+% \end{macrocode}
+%
+% and now for convenience and error testing, print them out
+%
+% \makeatletter
+% \begin{tabular}{rl}
+% widechar: & \the\DYNTREE@widechar \\
+% thinchar: & \the\DYNTREE@thinchar \\
+% cartancoefwidth: & \the\DYNTREE@cartancoefwidth \\
+% marginwidth: & \the\DYNTREE@marginwidth \\
+% colsepwidth: & \the\DYNTREE@colsepwidth \\
+% dynboxheight & \the\DYNTREE@dynboxheight \\
+% dynboxdepth & \the\DYNTREE@dynboxdepth \\
+% dynboxvlen & \the\DYNTREE@dynboxvlen \\
+% \end{tabular}
+% \makeatother
+%
+%
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
+%\subsubsection{Dynkin Tree Variables}
+% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %% %
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% These variables are specific to the actual creation of the tree structure.
+%
+% \begin{tabular}{lp{0.55\textwidth}}
+% {\bf \Large counters} \\
+% |DYNTREE@numlevel| & the number of levels in the tree \\
+% |DYNTREE@nextlevel| & the number of the next level \\
+% |DYNTREE@numboxes| & counter for counting number of boxes in a row \\
+% |DYNTREE@nextnumboxes| & counter for counting number of boxes in the next row \\
+% |DYNTREE@target| & used to record the `targeted' array element when sorting \\
+% |DYNTREE@listlen| & the length of the list of descendents \\
+% |DYNTREE@xCoord| & the x coordinate in scaled points \\
+% |DYNTREE@yCoord| & the y coordinate in scaled points \\
+% |DYNTREE@xPos| & the x coordinate in scaled points \\
+% |DYNTREE@yPos| & the y coordinate in scaled points \\
+% |DYNTREE@xComp| & the x coordinate in scaled points \\
+% |DYNTREE@yComp| & the y coordinate in scaled points \\
+% |DYNTREE@leftX| & the left most x coordinate in scaled points \\
+% |DYNTREE@ct| & generic counter \\
+% |DYNTREE@counter| & generic counter \\
+% |DYNTREE@index| & generic counter \\
+% |DYNTREE@root| & the root number \\
+% \end{tabular}
+%
+% \begin{tabular}{lp{0.55\textwidth}}
+% {\bf \Large lengths} \\
+% |\DYNTREE@dynboxsep| & the distance between dynkin boxes \\
+% |\DYNTREE@levelsep| & the distances between each level (from dynkin box bottom to top of next layer's dynbox)
+% \\
+% |\DYNTREE@leftmostX| & the left most x value \\
+% |\DYNTREE@rightmostX| & the right most x value \\
+% |\DYNTREE@unitlen| & the unit length value before altering (to allow it to be restored) \\
+% |\DYNTREE@templen| & temporary length storage \\
+% |\DYNTREE@holdlen| & temporary length storage \\
+% \end{tabular}
+%
+% \begin{tabular}{lp{0.55\textwidth}}
+% {\bf \Large commands} \\
+% |\DYNTREE@treestop| & indicates the point where the gobbler stops reading (to allow \LaTeX to properly
+% read all the data. Its value is |\&\&\&| \\
+% |\DYNTREE@treeend| & indicates the end of the tree. It is in the definition of the gobbler.
+% It has a value of |\%\%\%| \\
+% \end{tabular}
+%
+%
+% \begin{macro}{\lend}
+% \begin{macro}{\dynbox}
+%
+% And there are two external commands:
+%
+% \begin{tabular}{lp{0.75\textwidth}}
+% |\lend| & indicates the end of one tree level. The value is never used: this token is used as
+% a delimiter by the user and the code. Its value, which should never be typed,
+% is |\&\%\&\%| \\
+% |\dynbox| & indicates the start of a dynbox. The value is never used: this token is purely for
+% delimiting the start of the dynbox by the user; it is only defined to satisfy the
+% |\ifthenelse| statement \\
+% \end{tabular}
+% \end{macro}
+% \end{macro}
+%
+% \begin{macrocode}
+\newcounter{DYNTREE@numlevel}%
+\newcounter{DYNTREE@nextlevel}%
+\newcounter{DYNTREE@numboxes}%
+\newcounter{DYNTREE@nextnumboxes}%
+\newcounter{DYNTREE@target}%
+\newcounter{DYNTREE@listlen}%
+\newcounter{DYNTREE@xCoord}%
+\newcounter{DYNTREE@yCoord}%
+\newcounter{DYNTREE@xPos}%
+\newcounter{DYNTREE@yPos}%
+\newcounter{DYNTREE@xComp}%
+\newcounter{DYNTREE@yComp}%
+\newcounter{DYNTREE@leftX}%
+\newcounter{DYNTREE@ct}%
+\newcounter{DYNTREE@counter}%
+\newcounter{DYNTREE@index}%
+\newcounter{DYNTREE@root}%
+\newlength{\DYNTREE@dynboxsep}%
+\newlength{\DYNTREE@levelsep}%
+\newlength{\DYNTREE@leftmostX}%
+\newlength{\DYNTREE@rightmostX}%
+\newlength{\DYNTREE@unitlen}%
+\newlength{\DYNTREE@templen}%
+\newlength{\DYNTREE@holdlen}%
+\newcommand{\DYNTREE@treestop}{\&\&\&}%
+\newcommand{\DYNTREE@treeend}{\%\%\%}%
+\newcommand{\lend}{\&\%\&\%}%
+\newcommand{\dynbox}{}%
+% \end{macrocode}
+%
+% Now that they are declared, initialize the ``exterior" ones
+%
+% \begin{macrocode}
+\setlength{\DYNTREE@dynboxsep}{\DYNTREE@colsepwidth}%
+\setlength{\DYNTREE@levelsep}{1cm}%
+% \end{macrocode}
+%
+%
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
+%\subsection{The Tree Eater}
+% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% While the dynkin tree structure resembles that of an environment, it actually consists of a \LaTeX command that
+% consumes the data, sorts it, and displays the proper items. The basis of this consumption are several
+% ``gobblers"---the first of which eats the tree one level at a time
+%
+%
+% \begin{macrocode}
+\def\DYNTREE@gobbletree#1\lend#2\DYNTREE@treeend{%
+% \end{macrocode}
+% Before the level can be processed, several things must be adjusted. First, since a new level is beginning
+% the counter must be incremented by one
+% \begin{macrocode}
+\addtocounter{DYNTREE@numlevel}{1}%
+% \end{macrocode}
+% initialize the number of boxes for this level
+% \begin{macrocode}
+\setcounter{DYNTREE@numboxes}{0}%
+% \end{macrocode}
+% initialize the number of boxes for the next level
+% \begin{macrocode}
+\setcounter{DYNTREE@nextnumboxes}{0}%
+% \end{macrocode}
+% Process the level:
+% \begin{macrocode}
+\DYNTREE@gobbledynboxes#1\lend%
+% \end{macrocode}
+% \iffalse
+% \makeatletter
+% \begin{tabular}{lp{.55\textwidth}}
+% \multicolumn{2}{l}{{\bf ERROR CHECK}} \\
+% level: & \arabic{DYNTREE@numlevel} \\
+% boxes: & \arabic{DYNTREE@numboxes} \\
+% \end{tabular}
+% \makeatother
+% \fi
+% Record the number of boxes for this level
+% \begin{macrocode}
+\expandafter\xdef%
+ \csname DYNTREE@level@\roman{DYNTREE@numlevel}@numbox\endcsname%
+ {\arabic{DYNTREE@numboxes}}%
+% \end{macrocode}
+% Now check for the signal to stop processing
+% \begin{macrocode}
+\ifthenelse{ \equal{#2}{\DYNTREE@treestop} }%
+ {%
+% \end{macrocode}
+% The End---just do nothing
+% \begin{macrocode}
+ }%
+% Else
+ {%
+% \end{macrocode}
+% continue processing levels until the end of the tree
+% \begin{macrocode}
+ \DYNTREE@gobbletree#2\DYNTREE@treeend%
+ }%
+}%
+% \end{macrocode}
+%
+%
+%
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
+%\subsection{The Box Eater}
+% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% The second ``gobbler" eats the boxes one by one:
+%
+% \begin{macrocode}
+\def\DYNTREE@gobbledynboxes#1\dynbox#2#3#4{%
+% \end{macrocode}
+% increment the number of boxes
+% \begin{macrocode}
+\addtocounter{DYNTREE@numboxes}{1}%
+% \end{macrocode}
+% \iffalse
+%! boxnum: \arabic{DYNTREE@numboxes}
+% \fi
+% Store the boxes for this level in registers
+% \begin{macrocode}
+\expandafter\newbox%
+ \csname DYNTREE@box@\roman{DYNTREE@numlevel}@\roman{DYNTREE@numboxes}\endcsname%
+\expandafter\setbox%
+ \csname DYNTREE@box@\roman{DYNTREE@numlevel}@\roman{DYNTREE@numboxes}\endcsname=%
+ \hbox{$\begin{array}{|*{\DYNTREE@numroots}{c}|}\hline #2 \\ \hline \end{array}$}%
+% \end{macrocode}
+% Calculate the X value for each descendent and place in sorted list
+%
+% * Get the length of the list
+% \begin{macrocode}
+\listlenstore{DYNTREE@listlen}{#3}%
+\expandafter\xdef
+ \csname DYNTREE@childline@\roman{DYNTREE@numlevel}@\roman{DYNTREE@numboxes}@boxnum\endcsname%
+ {\arabic{DYNTREE@listlen}}%
+\ifthenelse{\value{DYNTREE@listlen} > \DYNTREE@numroots}%
+ {%
+ \PackageError{dyntree}%
+ {%
+ Length of descendant of \arabic{DYNTREE@numboxes}%
+ on level \arabic{DYNTREE@numlevel} exceeds number of roots%
+ (\DYNTREE@numroots)%
+ }%
+ }%
+% Else
+ {}%
+% \end{macrocode}
+% * store the list in a temp variable for convenience in typing, store it more permanently for use later on.
+% \begin{macrocode}
+\liststore{#3}{DYNTREE@templist@}%
+\liststore{#3}%
+ {DYNTREE@childlist@\roman{DYNTREE@numlevel}@\roman{DYNTREE@numboxes}@}%
+% \end{macrocode}
+% * go through the list and generate the sorted 'array' |DYNTREE@level@|\meta{level}|@|\meta{boxnum}|@X|
+% \begin{macrocode}
+\setcounter{DYNTREE@ct}{1}%
+\whiledo{ \NOT \(\value{DYNTREE@ct} > \value{DYNTREE@listlen}\) \AND
+ \NOT\(\value{DYNTREE@ct} > \DYNTREE@numroots\) }%
+ {%
+% \end{macrocode}
+ % need to store the `root' value in a counter to retrieve the data
+% \begin{macrocode}
+ \setcounter{DYNTREE@counter}{\csname DYNTREE@templist@\roman{DYNTREE@ct}\endcsname}%
+% \end{macrocode}
+ % check that the number submitted is within the allowed range
+% \begin{macrocode}
+ \ifthenelse{ \(\value{DYNTREE@counter} > \DYNTREE@numroots\) \OR
+ \(\value{DYNTREE@counter} < 1\) }%
+ {%
+ \ifthenelse{\value{DYNTREE@counter} = 0}%
+ {%
+% \end{macrocode}
+ % Do nothing - this is the last level
+% \begin{macrocode}
+ }%
+ % Else
+ {%
+ \PackageError{dyntree}%
+ {%
+ Descendant root of \arabic{DYNTREE@numboxes} on level%
+ \arabic{DYNTREE@numlevel} out of bounds%
+ (\arabic{DYNTREE@counter} > \DYNTREE@numroots)%
+ }%
+ }%
+ }%
+ % Else
+ {%
+% \end{macrocode}
+ % temporarily store the length
+% \begin{macrocode}
+ \setlength{\DYNTREE@templen}%
+ {\csname DYNTREE@level@\roman{DYNTREE@numlevel}@\roman{DYNTREE@numboxes}@X\endcsname}%
+ \addtolength{\DYNTREE@templen}%
+ {\csname DYNTREE@rootX@\roman{DYNTREE@counter}\endcsname*(-1)}%
+% \end{macrocode}
+ % adjust the left most length
+% \begin{macrocode}
+ \ifthenelse{\DYNTREE@templen < \DYNTREE@leftmostX}%
+ {%
+ \setlength{\DYNTREE@leftmostX}{\DYNTREE@templen}%
+ }%
+ % Else
+ {}%
+% \end{macrocode}
+ % adjust right most length
+% \begin{macrocode}
+ \setlength{\DYNTREE@holdlen}{\DYNTREE@templen}%
+ \addtolength{\DYNTREE@holdlen}{\DYNTREE@dynboxwidth}%
+ \ifthenelse{ \DYNTREE@holdlen > \DYNTREE@rightmostX }%
+ {%
+ \setlength{\DYNTREE@rightmostX}{\DYNTREE@holdlen}%
+ }%
+ % Else
+ {}%
+% \end{macrocode}
+ % now store the x value for the line
+% \begin{macrocode}
+ \setlength{\DYNTREE@holdlen}%
+ {\expandafter\csname DYNTREE@dynboxX@\roman{DYNTREE@counter}\endcsname}%
+ \addtolength{\DYNTREE@holdlen}{\DYNTREE@templen}%
+ \setcounter{DYNTREE@xPos}{\DYNTREE@holdlen}%
+% \end{macrocode}
+ % \iffalse
+ %! \begin{tabular}{cc}
+ %! rootX.\roman{DYNTREE@counter} & \csname DYNTREE@rootX@\roman{DYNTREE@counter}\endcsname \\
+ %! DYNTREE@numlevel: & \arabic{DYNTREE@numlevel} \\
+ %! numboxes: & \arabic{DYNTREE@numboxes} \\
+ %! templen: & \the\DYNTREE@templen \\
+ %! \end{tabular}
+ %!
+ % \fi
+ % |counter| has served its purpose and may be used in another context
+ %
+ % add the length to the sorted 'array'
+ %
+ % * initialize the counter to the END of the array
+% \begin{macrocode}
+ \setcounter{DYNTREE@counter}{\value{DYNTREE@nextnumboxes}}%
+% \end{macrocode}
+ % * get the value of the next level
+% \begin{macrocode}
+ \setcounter{DYNTREE@nextlevel}{\value{DYNTREE@numlevel} + 1}%
+% \end{macrocode}
+ % * Check for array elements
+% \begin{macrocode}
+ \ifthenelse{\value{DYNTREE@counter} = 0}%
+ {%
+% \end{macrocode}
+ % set the first element as the length
+% \begin{macrocode}
+ \expandafter\xdef%
+ \csname DYNTREE@level@\roman{DYNTREE@nextlevel}@i@X\endcsname%
+ {\the\DYNTREE@templen}%
+% \end{macrocode}
+ % increment the number of elements
+% \begin{macrocode}
+ \addtocounter{DYNTREE@nextnumboxes}{1}%
+ }%
+ % Else
+ {%
+% \end{macrocode}
+ % there is at least one element
+% \begin{macrocode}
+ \edef\DYNTREE@temparray%
+ {\csname DYNTREE@level@\roman{DYNTREE@nextlevel}@\roman{DYNTREE@counter}@X\endcsname}%
+ \edef\DYNTREE@tempinsert{\the\DYNTREE@templen}%
+% \end{macrocode}
+ % \iffalse
+ %! \begin{tabular}{cc}
+ %! nextnumboxes: & \arabic{DYNTREE@nextnumboxes} \\
+ %! nextlevel: & \arabic{DYNTREE@nextlevel} \\
+ %! counter: & \arabic{DYNTREE@counter} \\
+ %! temparray: & \DYNTREE@temparray \\
+ %! level\&\roman{DYNTREE@nextlevel}\&\roman{DYNTREE@counter}\&X
+ %! &
+ %! \csname DYNTREE@level@\roman{DYNTREE@nextlevel}@\roman{DYNTREE@counter}@X\endcsname
+ %! \\
+ %! tempinsert: & \DYNTREE@tempinsert \\
+ %! \end{tabular}
+ % \fi
+ % find where element should be inserted
+% \begin{macrocode}
+ \whiledo{ \(\value{DYNTREE@counter} > 0\) \AND
+ \lengthtest{\DYNTREE@tempinsert < \DYNTREE@temparray} }%
+ {%
+ \edef\DYNTREE@temparray%
+ {\csname DYNTREE@level@\roman{DYNTREE@nextlevel}@\roman{DYNTREE@counter}@X\endcsname}%
+ \addtocounter{DYNTREE@counter}{-1}%
+ }%
+% \end{macrocode}
+ % the thing needs to be inserted at \value{DYNTREE@counter} + 1
+% \begin{macrocode}
+ \setcounter{DYNTREE@target}{\value{DYNTREE@counter} + 1}%
+% \end{macrocode}
+ % \iffalse
+ %! \begin{tabular}{cc}
+ %! target: \arabic{DYNTREE@target} \\
+ %! temparray: & \DYNTREE@temparray \\
+ %! tempinsert: & \DYNTREE@tempinsert \\
+ %! \end{tabular}
+ %!
+ %!
+ % \fi
+ % if they aren't equal, move from target to nextnumboxes up to target+1 to nextnumboxes+1
+% \begin{macrocode}
+ \ifthenelse{ \NOT \lengthtest{\DYNTREE@tempinsert = \DYNTREE@temparray} }%
+ {%
+ \setcounter{DYNTREE@counter}{\value{DYNTREE@nextnumboxes} + 1}%
+ \whiledo{ \value{DYNTREE@counter} > \value{DYNTREE@target} }%
+ {%
+% \end{macrocode}
+ % get the value in the array spot one before
+% \begin{macrocode}
+ \addtocounter{DYNTREE@counter}{-1}%
+ \edef\DYNTREE@tempswap%
+ {%
+ \csname DYNTREE@level@\roman{DYNTREE@nextlevel}@\roman{DYNTREE@counter}@X\endcsname%
+ }%
+% \end{macrocode}
+ % store this value in the next array spot
+% \begin{macrocode}
+ \addtocounter{DYNTREE@counter}{1}%
+ \expandafter\xdef%
+ \csname DYNTREE@level@\roman{DYNTREE@nextlevel}@\roman{DYNTREE@counter}@X\endcsname%
+ {\DYNTREE@tempswap}%
+ \addtocounter{DYNTREE@counter}{-1}%
+ }%
+% \end{macrocode}
+ % insert the original
+% \begin{macrocode}
+ \expandafter\xdef%
+ \csname DYNTREE@level@\roman{DYNTREE@nextlevel}@\roman{DYNTREE@target}@X\endcsname%
+ {\DYNTREE@tempinsert}%
+% \end{macrocode}
+ % increment the number of boxes in the next level
+% \begin{macrocode}
+ \addtocounter{DYNTREE@nextnumboxes}{1}%
+ }%
+ % Else
+ {%
+% \end{macrocode}
+ % Do nothing
+% \begin{macrocode}
+ }%
+ }%
+ }%
+ \addtocounter{DYNTREE@ct}{1}%
+ }%
+\ifthenelse{\equal{#4}{\lend}}%
+ {%
+ }%
+% Else
+ {%
+% \end{macrocode}
+% % Eat the boxes until there are no more
+% \begin{macrocode}
+ \DYNTREE@gobbledynboxes#4%
+ }%
+}%
+% \end{macrocode}
+%
+%
+%
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
+%\subsection{The Dyntree Environment}
+% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
+% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% Dynkin Tree Environment
+%
+%
+% \begin{macrocode}
+\def\start#1#2#3\finish#4%
+{%
+\ifthenelse{\equal{#1}{#4} \AND \equal{#4}{dyntree}}%
+ {%
+ \providecommand{\DYNTREE@numroots}{#2}%
+% \end{macrocode}
+ % \iffalse
+ %! \DYNTREE@numroots
+ % \fi
+ % Initialize Interior Dynkin Box Variables
+% \begin{macrocode}
+ \setlength{\DYNTREE@dynboxwidth}
+ {%
+ \DYNTREE@marginwidth +
+ \DYNTREE@cartancoefwidth*\DYNTREE@numroots +
+ \DYNTREE@colsepwidth*(\DYNTREE@numroots-1)
+ }%
+% \end{macrocode}
+ % Initialize Interior Dynkin Tree Variables
+% \begin{macrocode}
+ \setlength{\DYNTREE@leftmostX}{0pt}%
+ \setlength{\DYNTREE@rightmostX}{\DYNTREE@dynboxwidth}%
+% \end{macrocode}
+ % the highest left starts at zero, so initialize this value
+% \begin{macrocode}
+ \expandafter\gdef\csname DYNTREE@level@i@i@X\endcsname{0pt}%
+% \end{macrocode}
+ % There are no levels, so initialize |numlevel| to zero
+% \begin{macrocode}
+ \setcounter{DYNTREE@numlevel}{0}%
+% \end{macrocode}
+ % Determine the root lines and dynkin box offsets
+% \begin{macrocode}
+ \setcounter{DYNTREE@ct}{1}%
+ \whiledo{\NOT \(\value{DYNTREE@ct}>\DYNTREE@numroots\)}%
+ {%
+% \end{macrocode}
+ % Calculate the length and store it in a temporary length
+% \begin{macrocode}
+ \setlength{\DYNTREE@templen}%
+ {%
+ (\DYNTREE@dynboxwidth + \DYNTREE@dynboxsep)*\value{DYNTREE@ct}%
+ -(\DYNTREE@dynboxwidth + \DYNTREE@dynboxsep)*1/2%
+ -(\DYNTREE@dynboxwidth + \DYNTREE@dynboxsep)*\DYNTREE@numroots/2%
+ }%
+% \end{macrocode}
+ % \iffalse
+ %! ct: \arabic{DYNTREE@ct}
+ %! templen: \the\DYNTREE@templen
+ % \fi
+ % store the actual length in a command
+% \begin{macrocode}
+ \expandafter\xdef\csname DYNTREE@rootX@\roman{DYNTREE@ct}\endcsname%
+ {\the\DYNTREE@templen}%
+% \end{macrocode}
+ % Calculate the dynkin box x offset and store it in a temporary length
+% \begin{macrocode}
+ \setlength{\DYNTREE@templen}%
+ {%
+ \DYNTREE@dynboxwidth/2/\DYNTREE@numroots +
+ \DYNTREE@dynboxwidth*(\value{DYNTREE@ct}-1)/\DYNTREE@numroots
+ }%
+% \end{macrocode}
+ % store the actual length in a command
+% \begin{macrocode}
+ \expandafter\xdef\csname DYNTREE@dynboxX@\roman{DYNTREE@ct}\endcsname%
+ {\the\DYNTREE@templen}%
+% \end{macrocode}
+ % \iffalse
+ % Print the Lengths
+ %! DYNTREE@rootX@\roman{DYNTREE@ct}: \expandafter\csname DYNTREE@rootX@\roman{DYNTREE@ct}\endcsname
+ %!
+ %! DYNTREE@dynboxX@\roman{DYNTREE@ct}: \expandafter\csname DYNTREE@dynboxX@\roman{DYNTREE@ct}\endcsname
+ % \fi
+% \begin{macrocode}
+ \addtocounter{DYNTREE@ct}{1}%
+ }%
+% \end{macrocode}
+ % \iffalse
+ % dynboxwidth: \the\DYNTREE@dynboxwidth
+ % \fi
+ % Eat the tree
+% \begin{macrocode}
+ \DYNTREE@gobbletree#3\DYNTREE@treestop\DYNTREE@treeend%
+% \end{macrocode}
+ % \iffalse
+ %! numlevels: \arabic{DYNTREE@numlevel}
+ % \fi
+ % Now the data has been stored, Draw The Tree:
+ %
+ % store the current unit length to restore when finished
+% \begin{macrocode}
+ \setlength{\DYNTREE@unitlen}{\unitlength}%
+ \setlength{\unitlength}{1sp}%
+% \end{macrocode}
+ % get the width of the picture
+% \begin{macrocode}
+ \setcounter{DYNTREE@xCoord}{\DYNTREE@rightmostX - \DYNTREE@leftmostX}%
+% \end{macrocode}
+ % store the leftmost point as a counter
+% \begin{macrocode}
+ \setcounter{DYNTREE@leftX}{\DYNTREE@leftmostX}%
+% \end{macrocode}
+ % get the height of the picture
+% \begin{macrocode}
+ \setcounter{DYNTREE@yCoord}%
+ {%
+ \DYNTREE@dynboxvlen*\value{DYNTREE@numlevel} +
+ \DYNTREE@levelsep*(\value{DYNTREE@numlevel} - 1)
+ }%
+ \begin{picture}%
+ (\arabic{DYNTREE@xCoord},\arabic{DYNTREE@yCoord})%
+ (\value{DYNTREE@leftX},0)%
+ \setcounter{DYNTREE@ct}{1}%
+ \whiledo{\NOT \(\value{DYNTREE@ct} > \value{DYNTREE@numlevel}\)}%
+ {%
+ \setcounter{DYNTREE@counter}{1}%
+% \end{macrocode}
+ % get the y coordinate as a length
+% \begin{macrocode}
+ \setlength{\DYNTREE@templen}%
+ {%
+ \DYNTREE@dynboxvlen*\value{DYNTREE@numlevel}
+ - \DYNTREE@dynboxvlen*\value{DYNTREE@ct}
+ + \DYNTREE@levelsep*\value{DYNTREE@numlevel}
+ - \DYNTREE@levelsep*\value{DYNTREE@ct}
+ + \DYNTREE@dynboxdepth
+ }%
+% \end{macrocode}
+ % convert the length to an integer in scaled points (sp)
+% \begin{macrocode}
+ \setcounter{DYNTREE@yCoord}{\DYNTREE@templen}%
+ \def\DYNTREE@tempboxnum{\csname DYNTREE@level@\roman{DYNTREE@ct}@numbox\endcsname}%
+ \whiledo{\NOT \( \value{DYNTREE@counter} > \DYNTREE@tempboxnum \)}%
+ {%
+% \end{macrocode}
+ % grab the value of the x coordinate (it's a length but not stored as one)
+% \begin{macrocode}
+ \xdef\DYNTREE@tempxCoord%
+ {%
+ \expandafter%
+ \csname DYNTREE@level@\roman{DYNTREE@ct}@\roman{DYNTREE@counter}@X\endcsname%
+ }%
+% \end{macrocode}
+ % convert x coordinate to a length
+% \begin{macrocode}
+ \setlength{\DYNTREE@holdlen}{\DYNTREE@tempxCoord}%
+% \end{macrocode}
+ % convert length to an integer in scaled points (sp)
+% \begin{macrocode}
+ \setcounter{DYNTREE@xCoord}{\DYNTREE@holdlen}%
+% \end{macrocode}
+ % place each dynkin box
+% \begin{macrocode}
+ \put(\arabic{DYNTREE@xCoord},\arabic{DYNTREE@yCoord})%
+ {%
+ \expandafter%
+ \copy\csname DYNTREE@box@\roman{DYNTREE@ct}@\roman{DYNTREE@counter}\endcsname%
+ }%
+% \end{macrocode}
+ % go through the descendants and place the lines
+% \begin{macrocode}
+ \setcounter{DYNTREE@listlen}%
+ {%
+ \expandafter%
+ \csname DYNTREE@childline@\roman{DYNTREE@ct}@\roman{DYNTREE@counter}@boxnum\endcsname%
+ }%
+ \setcounter{DYNTREE@index}{1}%
+ \whiledo{\NOT \(\value{DYNTREE@index} > \value{DYNTREE@listlen}\)}%
+ {%
+ \xdef\DYNTREE@childroot%
+ {%
+ \expandafter%
+ \csname DYNTREE@childlist@\roman{DYNTREE@ct}@\roman{DYNTREE@counter}@\roman{DYNTREE@index}\endcsname%
+ }%
+ \ifthenelse{\NOT \DYNTREE@childroot = 0 }%
+ {%
+ \setcounter{DYNTREE@root}{\DYNTREE@childroot}%
+ \setcounter{DYNTREE@xPos}{\value{DYNTREE@xCoord}}%
+ \setcounter{DYNTREE@xComp}{\value{DYNTREE@xCoord}}%
+ \setcounter{DYNTREE@yPos}{\value{DYNTREE@yCoord}}%
+ \setcounter{DYNTREE@yComp}{\value{DYNTREE@yCoord}}%
+ \xdef\DYNTREE@temprootX%
+ {\expandafter\csname DYNTREE@rootX@\roman{DYNTREE@root}\endcsname}%
+ \setlength{\DYNTREE@templen}{\DYNTREE@temprootX}%
+ \addtocounter{DYNTREE@xPos}{\DYNTREE@templen*(-1)}%
+ \xdef\DYNTREE@dynoffset%
+ {\expandafter\csname DYNTREE@dynboxX@\roman{DYNTREE@root}\endcsname}%
+ \setlength{\DYNTREE@templen}{\DYNTREE@dynoffset}%
+ \addtocounter{DYNTREE@xPos}{\DYNTREE@templen}%
+ \addtocounter{DYNTREE@xComp}{\DYNTREE@templen}%
+ \setlength{\DYNTREE@templen}{1pt}% for frame thickness
+ \addtocounter{DYNTREE@yPos}%
+ {\DYNTREE@levelsep*(-1) - \DYNTREE@dynboxdepth - \DYNTREE@templen}%
+ \addtocounter{DYNTREE@yComp}{\DYNTREE@dynboxdepth*(-1) - \DYNTREE@templen}%
+ \put(0,0)%
+ {%
+ \drawline%
+ (\arabic{DYNTREE@xComp},\arabic{DYNTREE@yComp})%
+ (\arabic{DYNTREE@xPos},\arabic{DYNTREE@yPos})%
+ }%
+ }%
+ % Else
+ {%
+ }%
+ \addtocounter{DYNTREE@index}{1}%
+ }%
+ \addtocounter{DYNTREE@counter}{1}%
+ }%
+ \addtocounter{DYNTREE@ct}{1}%
+ }%
+ \end{picture}%
+% \end{macrocode}
+ % restore the unit length to original value
+% \begin{macrocode}
+ \setlength{\unitlength}{\DYNTREE@unitlen}%
+% \end{macrocode}
+% \iffalse
+ %!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Error Check BEGIN
+ %! \setcounter{DYNTREE@ct}{1}
+ %! \whiledo{\NOT \(\value{DYNTREE@ct} > \value{DYNTREE@numlevel}\)}%
+ %! {%
+ %! \setcounter{act}{1}%
+ %! \def\DYNTREE@tempboxnum{\csname DYNTREE@level@\roman{DYNTREE@ct}@numbox\endcsname}
+ %! \whiledo{\NOT \( \value{act} > \DYNTREE@tempboxnum \)}%
+ %! {%
+ %! level.\roman{DYNTREE@ct}.\roman{act}.x: \csname DYNTREE@level@\roman{DYNTREE@ct}@\roman{act}@X\endcsname;
+ %!
+ %! \addtocounter{act}{1}
+ %! }
+ %! \addtocounter{DYNTREE@ct}{1}%
+ %! }%
+ %!
+ %!
+ %! \setcounter{DYNTREE@ct}{1}%
+ %! \whiledo{\NOT \(\value{DYNTREE@ct}>\value{DYNTREE@numlevel}\)}%
+ %! {%
+ %! \setcounter{act}{1}%
+ %! \def\DYNTREE@tempboxnum{\csname DYNTREE@level@\roman{DYNTREE@ct}@numbox\endcsname}%
+ %! \whiledo{\NOT \(\value{act}>\DYNTREE@tempboxnum\)}%
+ %! {%
+ %! level: \arabic{DYNTREE@ct}, box: \arabic{act};
+ %! \expandafter\copy\csname DYNTREE@box@\roman{DYNTREE@ct}@\roman{act}\endcsname
+ %!
+ %! \addtocounter{act}{1}%
+ %! }%
+ %! \addtocounter{DYNTREE@ct}{1}%
+ %! }%
+ %!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Error Check END
+% \fi
+% \begin{macrocode}
+ }%
+% Else
+ {%
+ \PackageError{dyntree}{Invalid start(#1)/finish(#4) call}%
+ }%
+}%
+% \end{macrocode}
+%
+%
+% \Finale
+\endinput