% \iffalse meta-comment
%
% Extracted from makebase.xml
% makebase.dtx is copyright �� 2016 by Peter Flynn <peter@silmaril.ie>
%
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either
% version 1.3 of this license or (at your option) any later
% version. The latest version of this license is in:
%
% http://www.latex-project.org/lppl.txt
%
% and version 1.3 or later is part of all distributions of
% LaTeX version 2005/12/01 or later.
%
% This work has the LPPL maintenance status `maintained'.
%
% The current maintainer of this work is Peter Flynn <peter@silmaril.ie>
%
% This work consists of the files makebase.dtx and makebase.ins,
% the derived file makebase.sty, and any ancillary files listed
% in the MANIFEST.
%
% \fi
% \iffalse
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%%
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%%
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% \makeatother
%
% \def\fileversion{0.2}
% \def\filedate{2016/05/10}
% \title{The \textsf{makebase} \LaTeXe\ package\thanks{%
% This document corresponds to \textsf{makebase}
% \textit{v.}\ \fileversion $\alpha$, dated \filedate.}
% \\[1em]\Large
% Typeset counters in a different base}
% \author{Peter Flynn\\\normalsize Silmaril Consultants\\[-.25ex]\normalsize Textual Therapy Division\\\normalsize(\url{peter@silmaril.ie})}
% \maketitle
% \renewcommand{\abstractname}{Summary}\thispagestyle{empty}
% \begin{abstract}
% \parskip=0.5\baselineskip
% \advance\parskip by 0pt plus 2pt
% \parindent=0pt% \noindent
% This package typesets a \LaTeX{} counter such as {\ttfamily{}page} in an arbitrary base (default
% 16). It does not change font or typeface.\par
% The package extends the functionality of the existing
% \textsf{hex} \LaTeX{}2.09 package and provides
% documentation. However, the author is not a mathematician, and
% suggestions for rewriting the code are welcomed.\par
% Warning: this is alpha software and may contain bugs.
% Please report problems to the author.\par
% \end{abstract}
% \clearpage
% \tableofcontents
% \clearpage
% \section{Description}
% This package was developed for an application which
% typeset smoke proofs of font characters from the Private Use
% areas of Unicode, where the codepoint is a very large number
% usually expressed in hexadecimal, and this was required for
% the page numbers.\par
% The package contains two macros:\par
% \begin{enumerate}
% \item {\ttfamily{}\textbackslash{}Sil@MB@maxdiv} finds the highest
% power of the selected base which is smaller than the value
% of the counter and makes it the primary divisor;
% \item {\ttfamily{}\textbackslash{}makebase} divides the counter
% repeatedly by the divisor found in
% {\ttfamily{}\textbackslash{}Sil@MB@maxdiv}, reducing it by one power
% each time, and outputting the quotient as a digit.
% \end{enumerate}
% This has only been tested in page numbering so far (see
% the accompanying file
% {\ttfamily{}makebase-test.tex}, for example:\par
% \iffalse
%<*ignore>
% \fi
\begin{lstlisting}[language={[LaTeX]TeX}]
\setcounter{page}{57635}
\makebase{page}
\end{lstlisting}
% \iffalse
%</ignore>
% \fi
% will produce \texttt{0xE123} (the default base is
% 16). Using\par
% \iffalse
%<*ignore>
% \fi
\begin{lstlisting}[language={[LaTeX]TeX}]
\makebase[8]{page}
\end{lstlisting}
% \iffalse
%</ignore>
% \fi
% produces 0160443.\par
% Warning: this is alpha software and may contain bugs.
% Please report problems to the author.\par
% \StopEventually{\label{endcode}
% \clearpage
% \newgeometry{left=3cm}
% \addcontentsline{toc}{section}{Change History}
% \label{}
% \PrintChanges
% \clearpage
% \label{codeindex}
% \addcontentsline{toc}{section}{Index}
% \PrintIndex}
% \addtolength{\revmarg}{\widthof{\LabelFont{Sil@MB@postnum}}}
% \newgeometry{left=\revmarg}
% \iffalse
%<*package>
% \fi
% \clearpage
% \section{Implementation}\label{implementation}
%\iffalse
%%
%% Packages required
%%
% \fi
% \subsection{Packages required for the package itself}\label{stypackages}
% \begin{CPK@package}{calc}
% Required for calculations involving lengths or counters,
% such as changes to widths for margin adjustment.
% \iffalse
%% Required for calculations involving lengths or counters, such as changes to widths for margin adjustment.
% \fi
% \begin{macrocode}
\RequirePackage{calc}
% \end{macrocode}
% \end{CPK@package}
%
% \subsection{Counters}\label{counters}
% \begin{CPK@counter}{Sil@MB@prenum}
% The value of the counter before calculations start.\par
% \begin{macrocode}
\newcounter{Sil@MB@prenum}
% \end{macrocode}
% \end{CPK@counter}
% \begin{CPK@counter}{Sil@MB@postnum}
% The value of the counter after calculations.\par
% \begin{macrocode}
\newcounter{Sil@MB@postnum}
% \end{macrocode}
% \end{CPK@counter}
% \begin{CPK@counter}{Sil@MB@quot}
% The quotient (number of times the computed divisor
% goes into the current value of the counter {\ttfamily{}Sil@MB@postnum}.\par
% \begin{macrocode}
\newcounter{Sil@MB@quot}
% \end{macrocode}
% \end{CPK@counter}
% \begin{CPK@counter}{Sil@MB@rem}
% The remainder after division.\par
% \begin{macrocode}
\newcounter{Sil@MB@rem}
% \end{macrocode}
% \end{CPK@counter}
% \begin{CPK@macro}{\Sil@MB@div}
% The divisor (initially the base).\par
% \begin{macrocode}
\newcounter{Sil@MB@div}
% \end{macrocode}
% \end{CPK@macro}
% \subsection{Macros}\label{macros}
% Two macros are defined: one internal for calculating the
% largest dividor needed to start with, and one public, for
% implementing the conversion.\par
% \begin{CPK@macro}{\Sil@MB@maxdiv}
% This is the internal (private) macro.\par
% \begin{macrocode}
\newcommand{\Sil@MB@maxdiv}[2][16]{%
% \end{macrocode}
% Record the counter value and the base (default
% 16)\par
% \begin{macrocode}
\setcounter{Sil@MB@div}{#1}%
\setcounter{Sil@MB@prenum}{#2}%
% \message{Testing \theSil@MB@prenum\space for divisibility
% by powers of \theSil@MB@div}%
% \end{macrocode}
% It repeatedly divides the counter by the base using
% \TeX{}'s {\ttfamily{}\textbackslash{}divide} primitive and then
% re-multiplies it using {\ttfamily{}\textbackslash{}multiply} to see
% if the result is zero yet, and if not, increases the base
% by a power and tries again.\par
% \begin{macrocode}
\loop
% \message{...dividing \theSil@MB@prenum\space by \theSil@MB@div}%
\divide\c@Sil@MB@prenum by\c@Sil@MB@div
\multiply\c@Sil@MB@prenum by\c@Sil@MB@div
\multiply\c@Sil@MB@div by#1
\ifnum\c@Sil@MB@prenum>0
\repeat
% \end{macrocode}
% Because the repeating condition above cannot include
% anything other than the {\ttfamily{}\textbackslash{}repeat} command,
% it is necessary to compute the increase of the power
% \emph{before} the condition.\par
% We therefore need to decrease it on exit to
% compensate, before decreasing it yet again to the previous
% successful level, which is the one we want to use in the
% actual computation as the initial divisor.\par
% \begin{macrocode}
\divide\c@Sil@MB@div by#1
\divide\c@Sil@MB@div by#1
% \message{Need to start at \theSil@MB@div.}%
}
% \end{macrocode}
% \end{CPK@macro}
% \begin{CPK@macro}{\makebase}
% This is the user-level macro which performs the
% conversion. It too defaults to base 16.\par
% \begin{macrocode}
\newcommand{\makebase}[2][16]{%
% \end{macrocode}
% The first action is to call the internal macro
% {\ttfamily{}\textbackslash{}Sil@MB@maxdiv} to compute the initial
% divisor as above.\par
% \begin{macrocode}
\Sil@MB@maxdiv[#1]{#2}%
% \end{macrocode}
% The prefix \texttt{0x} is output if the base is
% 16; for base 8 the prefix is \texttt{0}. These should
% probably be developed for other bases with an option to
% use \TeX{}'s double-quote and single-quote prefixes.\par
% \begin{macrocode}
\ifnum#1=16 0x\else\ifnum#1=8 0\fi\fi
% \end{macrocode}
% Set the initial values for before-and-after
% calculation.\par
% \begin{macrocode}
\setcounter{Sil@MB@prenum}{#2}%
\setcounter{Sil@MB@postnum}{#2}%
% \message{Formatting \theSil@MB@prenum\space in base#1
% starting at \theSil@MB@div}%
% \end{macrocode}
% Loop through the calculations. If the current divisor
% is bigger than the counter, output a zero and decrement
% the power.\par
% \begin{macrocode}
\loop
\ifnum\c@Sil@MB@div>\c@Sil@MB@prenum
0\divide\c@Sil@MB@div by#1
% \message{skipped a power, divisor now \theSil@MB@div}%
\fi
% \end{macrocode}
% Perform the division and record the quotient, then
% re-multiply the value so the remainder can be computed.\par
% \begin{macrocode}
% \message{Dividing \theSil@MB@postnum\space by \theSil@MB@div}%
\divide\c@Sil@MB@postnum by\c@Sil@MB@div
% \message{...got \theSil@MB@postnum}%
\setcounter{Sil@MB@quot}{\value{Sil@MB@postnum}}%
% \message{Multiplying \theSil@MB@postnum\space by \theSil@MB@div}%
\multiply\c@Sil@MB@postnum by\c@Sil@MB@div
% \message{...got \theSil@MB@postnum, setting remainder}%
\setcounter{Sil@MB@rem}{\value{Sil@MB@prenum}-\value{Sil@MB@postnum}}%
% \message{...got \theSil@MB@rem}%
% \end{macrocode}
% Output the quotient, allowing for alphabetic
% hexadecimal digits.\par
% \begin{macrocode}
% \par\dots divided \theSil@MB@prenum\ by \theSil@MB@div\
% \theSil@MB@quot\ times (\theSil@MB@postnum) leaving \theSil@MB@rem:
\ifcase\c@Sil@MB@quot 0\or 1\or 2\or 3\or 4\or 5\or 6\or
7\or 8\or 9\or A\or B\or C\or D\or E\or F\else !Z\fi
% \end{macrocode}
% As in the internal macro, make the resetting of the
% next values for the
% next loop \emph{before} testing the loop
% condition. If the remainder is zero, exit.\par
% \begin{macrocode}
\setcounter{Sil@MB@prenum}{\value{Sil@MB@rem}}%
\setcounter{Sil@MB@postnum}{\value{Sil@MB@rem}}%
\divide\c@Sil@MB@div by#1
\ifnum\c@Sil@MB@rem>0
\repeat
}
% \end{macrocode}
% \end{CPK@macro}
% \iffalse
%</package>
% \fi
% \appendix
% \iffalse
%<*testdoc>
% \fi
% \clearpage
% \section{Test of package}\label{testdoc}
% \iffalse
%% Test of package% \fi
% \begin{macrocode}
\documentclass{article}
\usepackage{makebase}
\setcounter{page}{"E123}
\renewcommand{\thepage}{\ttfamily\makebase[16]{\value{page}}}
\begin{document}
This is page number \arabic{page}.
\end{document}
% \end{macrocode}
% \iffalse
%</testdoc>
% \fi
% \newgeometry{left=3cm}
% \clearpage
% \section{The \LaTeX{} Project Public License}\label{LPPL:LPPL}
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% \subsection{Whether and How to Distribute Works under This
% License}\label{LPPL:Distribute}
% This section contains important instructions, examples, and
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% Here is an example of such a notice and statement:\par
% \iffalse
%<*ignore>
% \fi
\begin{lstlisting}[language={[LaTeX]TeX}]
%%% pig.dtx
%%% Copyright 2005 M. Y. Name
%%
%% This work may be distributed and/or modified under the
%% conditions of the LaTeX Project Public License, either version 1.3
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%% http://www.latex-project.org/lppl.txt
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%%
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