% \iffalse
%
%<package>\NeedsTeXFormat{LaTeX2e}[1999/12/01]
%<package>\ProvidesPackage{coollist}
%<package> [2023/05/03 v1.4 COntent Oriented LaTeX Lists]
%<package>\RequirePackage{ifthen}
%<package>\RequirePackage{amsmath}
%<package>\RequirePackage{amssymb}
%<package>\RequirePackage{coolstr}
%<package>\RequirePackage{forloop}
%
% 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{coollist}
\usepackage{url}
\usepackage{pdflscape}
\EnableCrossrefs
\CodelineIndex
\RecordChanges
\begin{document}
\DocInput{coollist.dtx}
\end{document}
%</driver>
% \fi
%
%
% \CheckSum{251}
%
%
%% \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}
% \changes{v1.1}{2001/10/06}{Added documentation for commands in separate section.}
% \changes{v1.1}{2001/10/06}{Added test cases/examples}
%
% \GetFileInfo{coollist.sty}
%
% \DoNotIndex{\#,\$,\%,\&,\@,\\,\{,\},\^,\_,\~,\ ,\!,\(,\),\,}
% \DoNotIndex{\@ne,\expandafter}
% \DoNotIndex{\advance,\begingroup,\catcode,\closein}
% \DoNotIndex{\newcommand,\renewcommand,\providecommand}
% \DoNotIndex{\closeout,\day,\def,\edef,\gdef,\xdef,\let,\empty,\endgroup}
% \DoNotIndex{\newcounter,\providecounter,\addtocounter,\setcounter,\stepcounter,\value,\arabic}
% \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{\COOL@Hypergeometric@pq,\COOL@Hypergeometric@pq@ab@value,\hideOnSF,\COOL@decide@paren}
% \DoNotIndex{\COOL@decide@indicies}
% \DoNotIndex{\mod,\bmod,\pmod,\pod,\operatorname}
% \DoNotIndex{\forLoop,\forloop}
% \DoNotIndex{\listval,\liststore,\isint,\isnumeric}
% \DoNotIndex{
% \COOL@list@temp@i,
% \COOL@list@temp@ii,
% \COOL@list@temp@iii}
%
% \title{The \textsf{coollist} package\thanks{This document
% corresponds to \textsf{coollist}~\fileversion,
% dated~\filedate.}}
% \author{nsetzer}
%
% \maketitle
%
% \setcounter{IndexColumns}{2}
% \StopEventually{\PrintChanges\PrintIndex}
%
% The \textsf{coollist} package is a ``sub" package of the \textsf{cool} package that seemed appropriate to publish
% independently since it may occur that one wishes to include the ability to manipulate lists without having to accept 
% all the overhead of the \textsf{cool} package itself.
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\section{Basics}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Lists are defined as a sequence of tokens separated by a comma.  The \textsf{coollist} package allows the user
% to access certain elements of the list while neglecting others---essentially turning lists into a sort of
% array. 
%
% List elements are accessed by specifying the position of the object within the list (the index of the item) and
% all lists start indexing at |1|.
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\section{Commands \& Descriptions}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% \DescribeMacro{\setlistStop}
% \DescribeMacro{\setlistEnd}
% |\setlistStop|\marg{string} and |\setlistEnd|\marg{string} allow the user to set the end of a list
% `character' in the rare event that the default values actually appear in the list.
% |listStop| is used to identify when the list actually terminates, while |listEnd| forces the reading macro to
% take in the entire list (without both entities, errors would occur if macros were included in the list).
%
% The default values are
%
% \begin{tabular}{ll}
% |listStop|    & \makeatletter |@@| \makeatother                       \\
% |listEnd|     & \makeatletter |@@@| \makeatother
% \end{tabular}
%
%
%
% \DescribeMacro{\listval}
% |\listval|\marg{list}\marg{index} returns the \meta{index} item of the comma delimited list \meta{list} 
% or nothing if \meta{index} is outside the number of elements of the list.  
% The first element of the list has index $1$.
%
%
%
% \DescribeMacro{\liststore}
% |\liststore|\marg{list}\marg{macro\_base\_name} stores the elements of comma delimited list \meta{list}
% in a set of macros having the first part of \meta{macro\_base\_name} and ending with the roman numermal
% index of the list.
%
% For example, |\liststore{1,2,3}{list}| would define |\listi|, |\listii|, and |\listiii| each
% holding |1|, |2|, |3|, respectively.
%
%
%
% \DescribeMacro{\listlen}
% |\listlen|\marg{list} returns the length of the comma delimited list \meta{list}, though it is not useful for 
% storing this length.  
% If you need to record the list's length for later use, it is better to use the function |\listlenstore|.
%
%
%
% \DescribeMacro{\listlenstore}
% |\listlenstore|\marg{counter}\marg{list} stores the length of the comma delimited list \meta{list} is the counter
% \meta{counter}.
%
%
%
% \DescribeMacro{\listcopy}
% |\listcopy|\marg{listtocopy}\marg{listcopybase} stores the elements of \meta{listtocopy} into the list
% \meta{listtocopybase}.
%
%
%
% \DescribeMacro{\listsum}
% |\listsum|\oarg{storedlist}\marg{list}\marg{macro} stores the sum of the comma delimited list \meta{list} 
% (if \meta{storedlist} is |storedlist=false| or |liststored=false|) or the sum of the stored list with base name \meta{list} 
% (if \meta{storedlist} is |storedlist=true| or |liststored=true|) in the macro \meta{macro}.  
% Integers are recognized and summed accordingly.  All other tokens are summed as variables with some
% integer coefficient as the end result.
%
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\section{Test Cases}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
%\subsection{\texttt{$\backslash$listval}}
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% \DescribeMacro{\listval}
%
% \begin{tabular}{ll}
% |\listval{1,2,3,4}{0}|                & \listval{1,2,3,4}{0} (the null string)        \\
% |$\listval{\alpha,\beta,\gamma}{2}$|  & $\listval{\alpha,\beta,\gamma}{2}$            \\
% |\listval{a,b,c}{4}|                  & \listval{a,b,c}{4} (the null string)
% \end{tabular}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
%\subsection{\texttt{$\backslash$liststore}}
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% \DescribeMacro{\liststore}
%
% \begin{tabular}{ll}
% |\liststore{1,2,3,4}{temp}|
%       \\
% |\tempi;\tempii;\tempiii;\tempiv|             & \liststore{1,2,3,4}{temp} \tempi;\tempii;\tempiii;\tempiv
%       \\[1cm]
% |\liststore{a_1,a_2,a_3,a_4}{temp}|
%       \\
% |$\tempi;\tempii;\tempiii;\tempiv$|           & \liststore{a_1,a_2,a_3,a_4}{temp} $\tempi;\tempii;\tempiii;\tempiv$
%       \\[1cm]
% |\liststore{a,b}{temp}|
%       \\
% |\tempi;\tempii|                              & \liststore{a,b,c}{temp} \tempi;\tempii
% \end{tabular}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
%\subsection{\texttt{$\backslash$listlen}}
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% \DescribeMacro{\listlen}
%
% \begin{tabular}{ll}
% |\listlen{1,2,3,4,5}|         & \listlen{1,2,3,4,5}                           \\
% |\listlen{}|                  & \listlen{}                                    \\
% |\listlen{1,2}|               & \listlen{1,2}                                 \\
% |\listlen{1}|                 & \listlen{1}
% \end{tabular}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
%\subsection{\texttt{$\backslash$listlenstore}}
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% \DescribeMacro{\listlen}
% |\newcounter{thelistlength}| \newcounter{thelistlength}
%
% \begin{tabular}{ll}
% |\listlenstore{thelistlength}{1,2,3,4,5}|
%       \\
% |\arabic{thelistlength}|                              & \listlenstore{thelistlength}{1,2,3,4,5} \arabic{thelistlength}
%       \\[1cm]
% |\listlenstore{thelistlength}{}|
%       \\
% |\arabic{thelistlength}|                      & \listlenstore{thelistlength}{} \arabic{thelistlength}
%       \\[1cm]
% \end{tabular}
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
%\subsection{\texttt{$\backslash$listcopy}}
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% \DescribeMacro{\listcopy} copy elements of a list
%
% \begin{tabular}{ll}
% |\liststore{1,2,3}{temp}|                                                                             \\
% |\listcopy{temp}{copiedlist}|                                                                         \\
% |\copiedlisti;\copiedlistii;\copiedlistiii|                                                           & 
% \liststore{1,2,3}{temp}\listcopy{temp}{copiedlist}\copiedlisti;\copiedlistii;\copiedlistiii
% \end{tabular}
%
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
%\subsection{\texttt{$\backslash$listsum}}
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% \DescribeMacro{\listsum} Summing elements of lists
%
% \begin{tabular}{ll}
% |\listsum{1,2,3,4,5}{\thelistsum}|                                                                            \\
% |\thelistsum|                                 & \listsum{1,2,3,4,5}{\thelistsum}\thelistsum                   \\[1cm]
% |\listsum{1,2,3,a,b,a,a}{\thelistsum}|                                                                        \\
% |\thelistsum|                                 & \listsum{1,2,3,a,b,a,a}{\thelistsum}\thelistsum               \\[1cm]
% |\liststore{1,2,3,5,j,k,j}{temp}|                                                             \\
% |\listsum[liststored=true]{temp}{\thelistsum}|                                                \\
% |\thelistsum|                 &
% \liststore{1,2,3,5,j,k,j}{temp}\listsum[liststored=true]{temp}{\thelistsum}\thelistsum        \\[1cm]
% |\listsum{a,b,c,d}{\thelistsum}|                                                                              \\
% |\thelistsum|                                 & \listsum{a,b,c,d}{\thelistsum}\thelistsum
% \end{tabular}
%
%
% \begin{landscape}
%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%\section{Implementation}
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% This is just an internal counter for dealing with the lists, most often used for the length of the list.
%
%    \begin{macrocode}
\newcounter{COOL@listlen}%
%    \end{macrocode}
%
%
% \begin{macro}{\setlistEnd}
% \begin{macro}{\setlistStop}
%
% |\setlistStop{|\meta{string}|}| and |\setlistEnd{|\meta{string}|}| allow the user to set the end of a list `character's 
% in the rare event that the default values actually appear in the list.
% Both of these entities are required to properly deliminate the list and avoid errors when macros are included in the list.  The default values are
%
%    \begin{macrocode}
\newcommand{\COOL@listEnd}{@@@}%
\newcommand{\COOL@listStop}{@@}%
%    \end{macrocode}
%
% and they may be changed by the following commands (which utilize the |\renewcommand|):
%
%    \begin{macrocode}
\newcommand{\setlistStop}[1]{\renewcommand{\COOL@listStop}{#1}}%
\newcommand{\setlistEnd}[1]{\renewcommand{\COOL@listEnd}{#1}}%
%    \end{macrocode}
%
% \end{macro}
% \end{macro}
%
%
% This area defines the core technology behind the \textsf{coollist} package: the list ``gobbler".
% To properly eat a list a counter and a boolean need to be used.  |listpointer| acts just like the name
% implies, as the current ``position" of the list.  |found| indicates that the position has been found
%
%    \begin{macrocode}
\newcounter{COOL@listpointer}%
\newboolean{COOL@found}%
%    \end{macrocode}
%
% Now we come to ``the gobbler"---a recursive function that eats up a list and gives back the appropriate item.  
% This must be done in \TeX{} primatives.
%
% The idea behind this is that ``the gobbler" eats up everything before the desired item and everything 
% after the desired item.
%
%    \begin{macrocode}
\def\COOL@listgobble[#1]#2,#3,\COOL@listEnd{%
\ifthenelse{\equal{#3}{\COOL@listStop}}%
        {%
%    \end{macrocode}
%
%  we have reached the end of the list, just need to check if we need to output something
%
%    \begin{macrocode}
        \ifthenelse{\value{COOL@listpointer}=#1}%
                {%
                \setboolean{COOL@found}{true}%
                #2%             
                }%
        % Else
                {%
                }%
        }%
% Else
        {%
        \ifthenelse{\value{COOL@listpointer}=#1}%
                {%
                \setboolean{COOL@found}{true}%
                #2%
                }%
        % Else
                {%
                }%
        \stepcounter{COOL@listpointer}%
%    \end{macrocode}
%
% We must eat up the whole list no matter what or else the stuff beyond |#1| will be displayed. so we need
% to call ``the gobbler" again.
%
%    \begin{macrocode}
        \COOL@listgobble[#1]#3,\COOL@listEnd%
        }%
}%
%    \end{macrocode}
%
%
%
%
% \begin{macro}{\listval}
% \changes{v1.1}{2007/10/06}{alter behavior to do nothing for empty lists}
%
% |\listval|\marg{comma\_deliminated\_list}\marg{index} 
%
% gives the \meta{index} value of \meta{comma\_deliminated\_list}---as in
%
% |\listval{1,2,3,4,5,6}{3}| = \listval{1,2,3,4,5,6}{3}
%
% |$\listval{\alpha,\beta,\gamma}{2}$| = $\listval{\alpha,\beta,\gamma}{2}$
%
%    \begin{macrocode}
\newcommand{\listval}[2]{%
%    \end{macrocode}
%
% check to see if the submitted list is empty.  if it is, do nothing
%
%    \begin{macrocode}
\ifthenelse{\equal{#1}{}}%
        {%
%    \end{macrocode}
%
%       set the listpointer to zero because the list has no length
%    \begin{macrocode}
        \setcounter{COOL@listpointer}{0}%
        }%
%    \end{macrocode}
%
% Else
%
%    \begin{macrocode}
        {%
%    \end{macrocode}
%
%       start at the beginning of the list, so initialize |listpointer|
%
%    \begin{macrocode}
        \setcounter{COOL@listpointer}{1}%
%    \end{macrocode}
%
%       Assume that the target will not be found---it will be set to true by ``the gobbler" if it is
%
%    \begin{macrocode}
        \setboolean{COOL@found}{false}% 
%    \end{macrocode}
%
% Now call the gobbler---since the user shouldn't be forced to submit the end character (in fact 
% he or she shouldn't even need to worry that an end character exists nor what it is), we add it
% on along with the `optional' parameter that tells us which element to retreive.  To ensure that
% the entire list is read in by |\COOL@listgobbler| we need the list stop `character' too.
%
%    \begin{macrocode}
        \COOL@listgobble[#2]#1,\COOL@listStop,\COOL@listEnd%
        }%
}%
%    \end{macrocode}
%
% \end{macro}
%
%
%
% \begin{macro}{\liststore}
% \changes{v1.3}{2007/10/14}{added code to store the length of the list}
% \begin{macro}{\COOL@liststore@gobbler}
% The list may be stored in a macro of the user's choosing with the function.  The syntax is 
%
% |\liststore|\marg{csv\_list}\marg{macro\_base\_name}
%
% and the resulting list elements are stored in
%
% \meta{macro\_base\_name}\meta{list\_index\_roman} 
%
% where \meta{list\_index\_roman} is the list index in roman numerals.
%
% Some examples will clarify:
%
% |\liststore{1,2,3,4}{temp}| \liststore{1,2,3,4}{temp}
%
% \noindent |\tempi;\tempii;\tempiii;\tempiv| yields \tempi;\tempii;\tempiii;\tempiv
%
%
% \noindent |\liststore{a_1,a_2,a_3,a_4}{temp}| \liststore{a_1,a_2,a_3,a_4}{temp}
%
% \noindent |\tempi;\tempii;\tempiii;\tempiv| yields $\tempi;\tempii;\tempiii;\tempiv$
%    \begin{macrocode}
\def\COOL@liststore@gobbler[#1]#2,#3,\COOL@listEnd{%
\ifthenelse{\equal{#3}{\COOL@listStop}}%
        {%
        \expandafter\gdef\csname #1\roman{COOL@listpointer}\endcsname{#2}%
        }%
% Else
        {%
        \expandafter\gdef\csname #1\roman{COOL@listpointer}\endcsname{#2}%
        \stepcounter{COOL@listpointer}%
        \COOL@liststore@gobbler[#1]#3,\COOL@listEnd%
        }%
}
\newcommand{\liststore}[2]{%
\setcounter{COOL@listpointer}{1}%
\COOL@liststore@gobbler[#2]#1,\COOL@listStop,\COOL@listEnd%
%    \end{macrocode}
% Now store the length
%    \begin{macrocode}
\expandafter\xdef\csname #2length\endcsname{\arabic{COOL@listpointer}}%
}%
%    \end{macrocode}
% \end{macro}
% \end{macro}
%
%
%
%
%
% \begin{macro}{\listlen}
%
% This returns the length of the list, though it is not useful for storing this length.  If you need to record the
% list's length for later use, it is better to use the next function |\listlenstore|.
%
% The format is |\listlen|\marg{comma deliminated list}.  It works by recording
% the value of |listpointer| after it has complete traversed the list.  Since indexing starts at |1|, it uses the
% index |0| which will never ever be an index of the list, so ``the gobbler" will not return any value.
%
% Example: |\listlen{1,2,3,4,5}| = \listlen{1,2,3,4,5}
%
%    \begin{macrocode}
\newcommand{\listlen}[1]{%
\listval{#1}{0}%
\arabic{COOL@listpointer}
}%listlength
%    \end{macrocode}
%
% \end{macro}
%
%
%
%
% \begin{macro}{\listlenstore}
%
% This store the length of the list.  The format is |\listlenstore|\marg{counter}\marg{comma deliminated list}.  
%
%    \begin{macrocode}
\newcommand{\listlenstore}[2]{%
\listval{#2}{0}%
\setcounter{#1}{\value{COOL@listpointer}}
}%listlength
%    \end{macrocode}
%
% \end{macro}
%
%
%
%
%
% \begin{macro}{\listcopy}
% \changes{v1.3}{2007/10/14}{added this function to the package}
%
% This copies one list into another element by element.
%
%    \begin{macrocode}
\newcommand{\listcopy}[2]{%
%    \end{macrocode}
% Store the length of the list to be copied
%    \begin{macrocode}
\setcounter{COOL@listlen}{\csname #1length\endcsname}%
%    \end{macrocode}
% go through each element of the list and copy it to the new list
%    \begin{macrocode}
\forloop{COOL@listpointer}{1}{\NOT \value{COOL@listpointer} > \value{COOL@listlen}}%
        {%
        \expandafter\xdef\csname #2\roman{COOL@listpointer}\endcsname{\csname #1\roman{COOL@listpointer}\endcsname}%
        }%
\expandafter\xdef\csname #2length\endcsname{\csname #1length\endcsname}%
}
%    \end{macrocode}
%
% \end{macro}
%
%
%
%
% \begin{macro}{\listsum}
% \changes{v1.2}{2007/10/10}{added this function to the package}
% \changes{v1.3}{2007/10/14}{altered function to take optional argument for summing stored lists}
% \changes{v1.4}{2009/09/20}{corrected optional argument to accept both `storedlist' and `liststored' due to original error in error message}
% Sum the contents of the list.  Integers are recognized and summed, tokens are treated as independent variables.  
% The function returns a string of the sum
%
% Counter for the coefficients
%    \begin{macrocode}
\newcounter{COOL@intsum}
%    \end{macrocode}
% Counter for the register index
%    \begin{macrocode}
\newcounter{COOL@register@ct}
\newcounter{COOL@register@len}
%    \end{macrocode}
% boolean for identifying integers
%    \begin{macrocode}
\newboolean{COOL@listsum@isint}
%    \end{macrocode}
%
% Now the function
%
%    \begin{macrocode}
\newcommand{\listsum}[3][liststored=false]{%
%    \end{macrocode}
% Check to see if the list is already stored.  If it is, copy it; otherwise store it
%    \begin{macrocode}
\ifthenelse{ \equal{#1}{liststored=false} \OR \equal{#1}{storedlist=false} }%
        {%
%    \end{macrocode}
% First store the entire list
%    \begin{macrocode}
        \liststore{#2}{COOL@listtosum@element@}%
%    \end{macrocode}
% store the length of the list
%    \begin{macrocode}
        \listlenstore{COOL@listlen}{#2}%
        }%
%    \end{macrocode}
% ElseIf
%    \begin{macrocode}
{ \ifthenelse{ \equal{#1}{liststored=true} \OR \equal{#1}{storedlist=true} }%
        {%
        \listcopy{#2}{COOL@listtosum@element@}%
        \setcounter{COOL@listlen}{\COOL@listtosum@element@length}%
        }%
%    \end{macrocode}
% Else
%    \begin{macrocode}
        {%
        \PackageError{cool}{Invalid listsum optional argument}%
                {optional argument may only be `storedlist=true', `liststored=true', `storedlist=false', or `liststored=false'}%
        }}%
%    \end{macrocode}
% check for the list having a non-zero length
%    \begin{macrocode}
\ifthenelse{ \value{COOL@listlen} < 1 }%
        {%
        \PackageWarning{cool}{List is empty}%
        \xdef#3{0}%
        }%
%    \end{macrocode}
% Else
%    \begin{macrocode}
        {%
%    \end{macrocode}
%       put the first list element into the register
%    \begin{macrocode}
        \isint{\COOL@listtosum@element@i}{COOL@listsum@isint}%
        \ifthenelse{ \boolean{COOL@listsum@isint} }%
                {%
                \xdef\COOL@listsum@register@integers{\COOL@listtosum@element@i}%
                \setcounter{COOL@register@len}{0}%
                }%
%    \end{macrocode}
%       Else
%    \begin{macrocode}
                {%
%    \end{macrocode}
%               Initialize the integers register to zero; store the character and its coefficient
%    \begin{macrocode}
                \gdef\COOL@listsum@register@integers{0}%
                \xdef\COOL@listsum@register@i{\COOL@listtosum@element@i}%
                \gdef\COOL@listsum@register@coef@i{1}%
                \setcounter{COOL@register@len}{1}%
                }%
%    \end{macrocode}
%       Now go through each additional element making an index of the symbols and summing identical ones
%    \begin{macrocode}
        \forloop{COOL@listpointer}{2}{\NOT \value{COOL@listpointer} > \value{COOL@listlen}}%
                {%
%    \end{macrocode}
%               Expand the element to a convenient storage macro
%    \begin{macrocode}
                \xdef\COOL@listsum@element{\csname COOL@listtosum@element@\roman{COOL@listpointer}\endcsname}%
%    \end{macrocode}
%               Check if this element is an integer
%    \begin{macrocode}
                \isint{\COOL@listsum@element}{COOL@listsum@isint}%
                \ifthenelse{ \boolean{COOL@listsum@isint} }%
                        {%
%    \end{macrocode}
%                       Grab the current value of the integers and store it in the register counter
%    \begin{macrocode}
                        \setcounter{COOL@intsum}{\COOL@listsum@register@integers}%
                        \addtocounter{COOL@intsum}{\COOL@listsum@element}%
                        \xdef\COOL@listsum@register@integers{\arabic{COOL@intsum}}%
                        }%
%    \end{macrocode}
%               Else, it's not an integer so search to see if it matches known elements
%    \begin{macrocode}
                        {%
                        \setboolean{COOL@found}{false}%
                        \forloop{COOL@register@ct}{1}{\NOT \value{COOL@register@ct} > \value{COOL@register@len}}%
                                {%
                                \xdef\COOL@listsum@known@element{%
                                        \csname COOL@listsum@register@\roman{COOL@register@ct}\endcsname%
                                        }%
                                \ifthenelse{ \equal{\COOL@listsum@element}{\COOL@listsum@known@element} }%
                                        {%
%    \end{macrocode}
%                                       found the element so increment the coefficient 
%                                       (grab coefficient, store in ct, increment ct, store new ct)
%    \begin{macrocode}
                                        \xdef\COOL@listsum@known@element@coef{%
                                                \csname COOL@listsum@register@coef@\roman{COOL@register@ct}\endcsname%
                                                }%
                                        \setcounter{COOL@intsum}{\COOL@listsum@known@element@coef}%
                                        \addtocounter{COOL@intsum}{1}%
                                        \expandafter%
                                                \xdef\csname COOL@listsum@register@coef@\roman{COOL@register@ct}\endcsname%
                                                        {\arabic{COOL@intsum}}%
%    \end{macrocode}
%                                       flag the element as found and set the counter to the length of the register $+1$
%    \begin{macrocode}
                                        \setboolean{COOL@found}{true}%
                                        }%
%    \end{macrocode}
%                               Else do nothing
%    \begin{macrocode}
                                        {%
                                        }%
                                }%
%    \end{macrocode}
%                       Check to see if the element is a known element.  If not, add it to the register
%    \begin{macrocode}
                        \ifthenelse{ \boolean{COOL@found} }%
                                {}%
%    \end{macrocode}
%                       Else
%    \begin{macrocode}
                                {%
                                \addtocounter{COOL@register@len}{1}%
                                \expandafter%
                                        \xdef\csname COOL@listsum@register@\roman{COOL@register@len}\endcsname%
                                                {\COOL@listsum@element}%
                                \expandafter%
                                        \xdef\csname COOL@listsum@register@coef@\roman{COOL@register@len}\endcsname{1}%
                                }%
                        }%
                }%
%    \end{macrocode}
%       Finally, create and store the sum
%    \begin{macrocode}
        \xdef\COOL@listsum@result{}%
        \ifthenelse{ \NOT \COOL@listsum@register@integers = 0 }%
                {
                \xdef\COOL@listsum@result{\COOL@listsum@result\COOL@listsum@register@integers}%
                \ifthenelse{ \NOT \value{COOL@register@len} = 0 }%
                        {%
                        \xdef\COOL@listsum@result{\COOL@listsum@result+}%
                        }{}%
                }{}%
        \forloop{COOL@register@ct}{1}{ \NOT \value{COOL@register@ct} > \value{COOL@register@len} }%
                {%
                \edef\COOL@listsum@curcoef{\csname COOL@listsum@register@coef@\roman{COOL@register@ct}\endcsname}%
                \ifthenelse{ \NOT \COOL@listsum@curcoef = 1}%
                        {%
                        \xdef\COOL@listsum@result{\COOL@listsum@result\COOL@listsum@curcoef}%
                        }{}%
                \xdef\COOL@listsum@result{\COOL@listsum@result\csname COOL@listsum@register@\roman{COOL@register@ct}\endcsname}%
                \ifthenelse{ \NOT \value{COOL@register@ct} = \value{COOL@register@len} }%
                        {%
                        \xdef\COOL@listsum@result{\COOL@listsum@result+}%
                        }{}%
                }%
        \xdef#3{\COOL@listsum@result}%
        }%
}
%    \end{macrocode}
%
% \end{macro}
%
%
% \end{landscape}
%
%
% \Finale
\endinput