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%\iffalse meta-comment
%Copyright (c) 2020 Peter Rowlett
%
%Permission is hereby granted, free of charge, to any person obtaining a copy
%of this software and associated documentation files (the "Software"), to deal
%in the Software without restriction, including without limitation the rights
%to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
%copies of the Software, and to permit persons to whom the Software is
%furnished to do so, subject to the following conditions:
%
%The above copyright notice and this permission notice shall be included in all
%copies or substantial portions of the Software.
%
%THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
%IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
%FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
%AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
%LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
%OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
%SOFTWARE.
%\fi
%\section{Background}
%
%\lstinline{nimsticks} is a package for \LaTeX{} that draws sticks for representating games of multi-pile Nim.
%
%Nim objects could be anything, of course, but conventionally sticks or stones are used. There are various types of dot in LaTeX that might look like stones, but somehow a line of dots didn't seem satisfactory. There are various ways to draw a line (e.g. just typing IIIII), including some tally markers (e.g. in hhcount). My problem with these (call me picky) is that they are all identical lines, and a `heap' of them just looks very organised. Really, I want a set of lines that looks like someone just threw them into heaps (though probably without crossings for the avoidance of ambiguity).
%
%The way this works is it draws a thick vertical line in TikZ with a little wobble added so each one doesn't look extremely well-lined-up with its neighbour, achieved by adding or subtracting a small random number to the top and bottom coordinate.
%
%It does this by providing two commands:
%\begin{itemize}
%\item \lstinline{\drawnimstick}: draws a single Nim stick with a little random wobble;
%\item \lstinline{\nimgame}: takes a comma-separated list of numbers and draws a line of Nim heaps holding those number of sticks.
%\end{itemize}
%
%\section{Usage}
%
%For example, the input \lstinline!\nimgame{5,3,4}! will produce output like this (precise look affected by random wobble in the sticks):
%
%\nimgame{5,3,4}
%
%This is designed to look like a 3-pile Nim game with 5 sticks in the first pile (or heap), 3 in the second and 4 in the third.
%
%It is likely the user will want to use \lstinline{\nimgame} and not \lstinline{\drawnimstick} directly, but the input \lstinline{\drawnimstick} will produce output like this (precise look affected by random wobble in the sticks): \drawnimstick
%
%\lstinline{\nimgame} will happily work with one heap, so for example the input \lstinline!\nimgame{7}! will produce output like this (precise look affected by random wobble in the sticks):
%
%\nimgame{7}
%
%\section{Issues}
%
%There is no limit in the code to the number of piles or the number in a pile, but this code doesn't do anything to cope when line breaks start happening, and presumably there is a computational limit.
%
%In principle, if you add lots of piles it will just wrap onto multiple lines, though it will start to look less clear. For example, the input\\
%\lstinline!\nimgame{1,2,3,4,5,6,7,8,9,10,9,8,7,6,5,4,3,2,1}!\\
%will produce the output:
%\nimgame{1,2,3,4,5,6,7,8,9,10,9,8,7,6,5,4,3,2,1}
%Similarly, if you have a lot of sticks in the same heap, it will wrap and look confusing, for example the input \lstinline!\nimgame{128}! will produce the output:
%\nimgame{256}
%\iffalse
%<*documentation>
\documentclass{article}
\usepackage{nimsticks}
\usepackage{doc}
\usepackage{listings}
\lstset{basicstyle=\ttfamily\footnotesize,commentstyle=\color{white},language=TeX}
\title{nimsticks v1.0.1}
\author{Peter Rowlett}
\begin{document}
\maketitle
\DocInput{nimsticks.dtx}
\end{document}
%</documentation>
%\fi
%\iffalse
%<*nimsticks>
\ProvidesPackage{nimsticks}[2020/07/12 nimsticks 1.0.1]
\RequirePackage[first=-100,last=100,seed=0]{lcg}
\RequirePackage{tikz}
\@ifundefined{drawnimstick}{}
{\PackageWarning{nimsticks}{Command `drawnimstick' already defined}}
\@ifundefined{nimgame}{}
{\PackageWarning{nimsticks}{Command `nimgame' already defined}}
\@ifundefined{listofgames}{}
{\PackageWarning{nimsticks}{Command `listofgames' already defined}}
\@ifundefined{c@topx}{}
{\PackageWarning{nimsticks}{Counter `topx' already defined}}
\@ifundefined{topx}{}
{\PackageWarning{nimsticks}{Existing command `topx' conflicts with counter `topx'}}
\@ifundefined{c@botx}{}
{\PackageWarning{nimsticks}{Counter `botx' already defined}}
\@ifundefined{botx}{}
{\PackageWarning{nimsticks}{Existing command `botx' conflicts with counter `botx'}}
\@ifundefined{c@heap}{}
{\PackageWarning{nimsticks}{Counter `heap' already defined}}
\@ifundefined{heap}{}
{\PackageWarning{nimsticks}{Existing command `heap' conflicts with counter `heap'}}
\@ifundefined{c@heapindex}{}
{\PackageWarning{nimsticks}{Counter `heapindex' already defined}}
\@ifundefined{heapindex}{}
{\PackageWarning{nimsticks}{Existing command `heapindex' conflicts with counter `heapindex'}}
\newcommand{\drawnimstick}{%
\rand\pgfmathsetmacro{\topx}{(\the\value{rand})/1000}%
\rand\pgfmathsetmacro{\botx}{(\the\value{rand})/1000}%
\begin{tikzpicture}%
\draw[very thick] (\topx,0) -- (\botx,0.5);%
\end{tikzpicture}%
}
\newcommand{\nimgame}[1]{%
\begin{center}%
\def\listofgames{#1}%
\foreach \heap in \listofgames {%
\foreach \heapindex in {1, ..., \heap} {%
\drawnimstick\hspace{0.5mm}%
}%
\hspace{10mm}%
}%
\end{center}%
}
%</nimsticks>
%\fi
|
