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Diffstat (limited to 'Master/texmf-dist/source/metapost/shapes')
| -rw-r--r-- | Master/texmf-dist/source/metapost/shapes/shapes.dtx | 402 | ||||
| -rw-r--r-- | Master/texmf-dist/source/metapost/shapes/shapes.ins | 69 |
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diff --git a/Master/texmf-dist/source/metapost/shapes/shapes.dtx b/Master/texmf-dist/source/metapost/shapes/shapes.dtx new file mode 100644 index 00000000000..ab1b14cfb28 --- /dev/null +++ b/Master/texmf-dist/source/metapost/shapes/shapes.dtx @@ -0,0 +1,402 @@ +% \iffalse +% +AMDG This document was begun on 1E June 11EE, the vigil +% of the Nativity of St. John the Baptist, and it is humbly +% dedicated to him and to the Immaculate Heart of Mary, for +% their prayers, and to the Sacred Heart of Jesus, for His +% mercy. +% +% This document is copyright 2015 by Donald P. Goodman, and is +% released publicly under the LaTeX Project Public License. The +% distribution and modification of this work is constrained by the +% conditions of that license. See +% http://www.latex-project.org/lppl.txt +% for the text of the license. This document is released +% under version 1.3 of that license, and this work may be distributed +% or modified under the terms of that license or, at your option, any +% later version. +% +% This work has the LPPL maintenance status 'maintained'. +% +% The Current Maintainer of this work is Donald P. Goodman +% (dgoodmaniii@gmail.com). +% +% This work consists of the files shapes.dtx and +% shapes.ins, along with the generated file shapes.mp +% and shapes.pdf, and the README. +% \fi + +% \iffalse +%<*driver> + +\documentclass{ltxdoc} +\usepackage{docmfp} +\usepackage{url} +\usepackage[typeone]{dozenal} +\usepackage{verbatim} +\usepackage{mflogo} +\usepackage[everymp={input shapes;},latex]{gmp} +\usepackage{makeidx} +\makeindex +\long\def\demonstrate#1#2{% + \bigskip% + \hrule% + \hbox to\linewidth{% + \hbox to0.65\linewidth{% + \vbox to1.4in{\vfil#1\vfil}% + }\hbox to0.35\linewidth{% + \vbox to1.4in{\vfil#2\vfil}% + }% + }% + \hrule% + \bigskip% +} + +\begin{document} +\DocInput{shapes.dtx} +\end{document} +%</driver> +% \fi +% \title{The \texttt{shapes} Macros, v1.0} +% \author{Donald P.\ Goodman III} +% \date{\today} +% +% \maketitle +% \begin{abstract}\noindent +% The |shapes| macros for \MP\ provide regular polygons, +% their corresponding reentrant stars, and images +% demonstrating fractions. These macros are quite +% configurable. +% \end{abstract} +% +% \tableofcontents +% +% \section{Introduction} +% +% The |shapes| macros are not revolutionary, and in fact are +% quite simple; however, I spent some time generalizing them +% for a text I'm currently working on, and so I thought they +% might be useful for the general populace. They are +% divided into two main groups: regular polygons and their +% corresponding reentrant star shapes; and fractionals, +% circles divided into a certain number of parts with the +% desired fraction filled in. +% +% This document was typeset in accordance with the +% |docstrip| utility, which allows the automatic extraction +% of code and documentation from the same document. +% +% \section{Prerequisites and Conventions} +% +% Some prerequesites for using this package are \MP\ itself +% (obviously). If you're using the package with \LaTeX, the +% |gmp| package would probably be helpful; be sure to use +% the |latex| package option. +% These should be packaged in any +% reasonably modern \LaTeX\ system, such as \TeX Live or +% Mik\TeX. +% +% This documentation assumes nothing about your personal +% \TeX\ or \MP\ environment. Con\TeX t and the various +% forms of Lua\TeX\ have \MP\ built-in; with pdf\LaTeX, the +% author's choice, one can use the |gmp| package to +% include the source directly in one's document (that's +% what's been done in this documentation) or develop a +% simple script to compile them afterwards and include them +% in the source via |\includegraphics| (probably the +% quickest option, since compilation is done in advance). +% Here, we simply post the plain vanilla \MP\ code, and let +% you work out those details however you prefer. +% +% \section{The Shapes Macros} +% +% We begin with the simple shapes macros, which are about as +% basic as they can be. +% +% All of these shapes default to +% circles with a one inch diameter, so you can scaled them +% with that kept in mind. +% +% The simplest case is with a regular +% polygon, like so: +% +% \demonstrate{% +% \hbox{|modfig(6,0);|} +% \hbox{|draw modfigure;|} +% }{% +% \begin{mpost} +% modfig(6,0); draw modfigure; +% \end{mpost} +% }% +% +% Of course, these drawn figures can be manipulated in the +% usual ways: +% +% \demonstrate{% +% \hbox{|modfig(6,0);|} +% \hbox{|draw modfigure rotated (45) withcolor red;|} +% }{% +% \begin{mpost} +% modfig(6,0); draw modfigure rotated (45) withcolor red; +% \end{mpost} +% }% +% +% The two arguments to |modfig| are simple: the first tells +% the number of sides desired, while the second means +% \emph{no numbers are printed} if 0, and \emph{print +% numbers} if 1: +% +% \demonstrate{% +% \hbox{|modfig(8,1);|} +% \hbox{|draw modfigure;|} +% }{% +% \begin{mpost} +% modfig(8,1); draw modfigure; +% \end{mpost} +% }% +% +% If you don't want the circle to be printed, simply tell +% \MP\ with |modcircle := false;| and it will not print it: +% +% \demonstrate{% +% \hbox{|modcircle := false;|} +% \hbox{|modfig(8,1);|} +% \hbox{|draw modfigure;|} +% }{% +% \begin{mpost} +% modcircle := false; +% modfig(8,1); draw modfigure; +% \end{mpost} +% }% +% +% |modcircle| defaults to |true|. +% +% Notice that |modfig| doesn't care if there's a circle or +% not; if you want numbers on the vertices, it will print +% them there. +% +% You can adjust the width of the lines by specifying +% |modcirclepen| and |modshapepen|: +% +% \demonstrate{% +% \hbox{|modcirclepen := pencircle scaled 3;|} +% \hbox{|modshapepen := pencircle scaled 2;|} +% \hbox{|modfig(4,0);|} +% \hbox{|draw modfigure;|} +% }{% +% \begin{mpost} +% modcirclepen := pencircle scaled 3; +% modshapepen := pencircle scaled 2; +% modfig(4,0); draw modfigure; +% \end{mpost} +% }% +% +% Both |modcirclepen| and |modshapepen| default to +% |pencircle scaled 1|. +% +% We can do essentially the same thing with reentrant star +% figures with |modstar|. Unlike |modfig|, |modstar| takes +% \emph{three} arguments: the number of vertices, whether +% or not you want those vertices numbered, and how many +% points you want to skip as you go around the circle. +% +% \demonstrate{% +% \hbox{|modstar(11,1,3);|} +% \hbox{|draw modfigure;|} +% }{% +% \begin{mpost} +% modstar(11,1,3); draw modfigure; +% \end{mpost} +% }% +% +% Note that the third argument actually skips $n - 1$ +% points, not $n$ points. But all the same parameters we +% saw when looking at |modfig| will still work in the same +% way: +% +% \demonstrate{% +% \hbox{|modcirclepen := pencircle scaled 1;|} +% \hbox{|modshapepen := pencircle scaled 2;|} +% \hbox{|modstar(11,1,4);|} +% \hbox{|draw modfigure;|} +% }{% +% \begin{mpost} +% modcirclepen := pencircle scaled 1; +% modshapepen := pencircle scaled 2; +% modstar(11,1,4); draw modfigure; +% \end{mpost} +% }% +% +% And that's about all there is to it. +% +% \section{Fraction Images} +% \label{sect:fraimg} +% +% The following macros are useful for demonstrating the +% nature and size of fractions in a visible way. The name +% of the game here is |fraccirc|, which takes two arguments: +% the number of parts to be filled, and the number of parts +% in the whole: +% +% \demonstrate{% +% \hbox{|fraccirc(7)(12);|} +% \hbox{|draw thefrac;|} +% }{% +% \begin{mpost} +% fraccirc(7)(12); +% draw thefrac; +% \end{mpost} +% } +% +% Note that, due to the internal implementation, these two +% arguments must each be enclosed in their own parentheses. +% +% We can adjust these things as appropriate. For example, +% we can fill with blue rather than red, and use thicker +% lines: +% +% \demonstrate{% +% \hbox{|fracfillcolor := blue;|} +% \hbox{|fraccirclepen := pencircle scaled 1;|} +% \hbox{|fractionpen := pencircle scaled 2;|} +% \hbox{|fraccirc(4)(7);|} +% \hbox{|draw thefrac;|} +% }{% +% \begin{mpost} +% fracfillcolor := blue; +% fraccirclepen := pencircle scaled 1; +% fractionpen := pencircle scaled 2; +% fraccirc(4)(7); +% draw thefrac; +% \end{mpost} +% } +% +% As the above example suggests, |fracfillcolor| gives the +% color with which the portion of the fraction should be +% filled; it defaults to |red|. |fraccirclepen| is the pen +% used to draw the circle around the fraction; it defaults +% to |pencircle scaled 1.5|. Finally, |fractionpen| is the +% pen used to draw the partition and the circle immediately +% surrounding them; it defaults to |pencircle scaled 1|. +% +% \section{Implementation} +% \label{sect:implem} +% +% \begin{macrocode} +color fracfillcolor; fracfillcolor := red; +pen fraccirclepen; fraccirclepen := pencircle scaled 1.5; +pen fractionpen; fractionpen := pencircle scaled 1; +def fraccirc(suffix x)(expr y) = + radius := 1in; + ticklen := radius/24; + path circ; circ := fullcircle scaled radius; + pair p[]; pair q[]; pair r[]; pair s[]; + p[0] := (0,0) shifted (0,radius/2); + q[0] := p[0] shifted (0,ticklen); + r[0] := p[0] shifted (0,-ticklen); + s[0] := r[0]; + picture thefrac; + picture addition; + thefrac := image(pickup fraccirclepen; draw circ;); + addition := image(pickup fractionpen; draw p[0]--q[0];); + addto thefrac also addition; + for i=1 upto 12: + p[i] := p[i-1] rotatedaround ((0,0),-30); + q[i] := q[i-1] rotatedaround ((0,0),-30); + addition := image(pickup fractionpen; draw p[i]--q[i];); + addto thefrac also addition; + endfor; + addition := image(pickup fractionpen; draw (0,0)--r[0];); + addto thefrac also addition; + pair t; pair q; + addition := image( + t = r[0] rotatedaround ((0,0),-((360/y)*x)/2); + q = r[0] rotatedaround ((0,0),-((360/y)*x)); + fill r[0]--(0,0)--q..t..cycle withcolor fracfillcolor; + draw r[0]--(0,0)--q..t..cycle; + ); + addto thefrac also addition; + for i=1 upto y: + r[i] := r[i-1] rotatedaround ((0,0),-(360/y)); + s[i] := r[i-1] rotatedaround ((0,0),-(360/y)/2); + addition := image(% + pickup fractionpen;% + draw (0,0)--r[i]; + draw r[i-1]..s[i]..r[i]; + ); + addto thefrac also addition; + endfor; +enddef; +% put in the pens for the modular shapes +boolean modcircle; modcircle := true; +pen modcirclepen; modcirclepen := pencircle scaled 1; +pen modshapepen; modshapepen := pencircle scaled 1; +def modstar(expr numpoints,numbers,numstar) = + picture modfigure; + if (modcircle = true): + modfigure := image(draw fullcircle scaled 1in withpen modcirclepen;); + else: + modfigure := image(); + fi; + pickup modshapepen; + pair p[]; pair q[]; + picture addition; + p[0] = (0,0.5in); + q[0] = (0,0.6in); + if (numbers = 1): + addition := image(label("0",q[0])); + addto modfigure also addition; + fi + for i=1 upto numpoints: + p[i] = p[i-1] rotatedaround ((0,0),-(360/numpoints)); + q[i] = q[i-1] rotatedaround ((0,0),-(360/numpoints)); + if (numbers = 1): + if (i <> numpoints): + addition := image(label(decimal i,q[i])); + addto modfigure also addition; + fi + fi + endfor + for i=0 upto numpoints: + if (i < numstar): + addition := image(% + draw p[i]--p[i+numstar]; + draw p[i]--p[numpoints - numstar + i]; + ); + addto modfigure also addition; + elseif (i >= (numstar*2)): + addition := image(draw p[i-numstar]--p[i]); + addto modfigure also addition; + fi + endfor + addto modfigure also addition; +enddef; +def modfig(expr numpoints,numbers) = + picture modfigure; + if (modcircle = true): + modfigure := image(draw fullcircle scaled 1in withpen modcirclepen); + else: + modfigure := image(); + fi + pair p[]; pair q[]; + picture addition; + pickup modshapepen; + p[0] = (0,0.5in); + q[0] = (0,0.6in); + if (numbers = 1): + addition := image(label("0",q[0])); + addto modfigure also addition; + fi + for i=1 upto numpoints: + p[i] = p[i-1] rotatedaround ((0,0),-(360/numpoints)); + q[i] = q[i-1] rotatedaround ((0,0),-(360/numpoints)); + addition := image(draw p[i-1]--p[i]); + addto modfigure also addition; + if (numbers = 1): + if (i <> numpoints): + addition := image(label(decimal i,q[i])); + addto modfigure also addition; + fi + fi + endfor; +enddef; +% \end{macrocode} diff --git a/Master/texmf-dist/source/metapost/shapes/shapes.ins b/Master/texmf-dist/source/metapost/shapes/shapes.ins new file mode 100644 index 00000000000..d7c4a2f537d --- /dev/null +++ b/Master/texmf-dist/source/metapost/shapes/shapes.ins @@ -0,0 +1,69 @@ +% +AMDG This document was begun on 1E June 11EE, the vigil +% of the Nativity of St. John the Baptist, and it is humbly +% dedicated to him and to the Immaculate Heart of Mary, for +% their prayers, and to the Sacred Heart of Jesus, for His +% mercy. +% +% This document is copyright 2015 by Donald P. Goodman, and is +% released publicly under the LaTeX Project Public License. The +% distribution and modification of this work is constrained by the +% conditions of that license. See +% http://www.latex-project.org/lppl.txt +% for the text of the license. This document is released +% under version 1.3 of that license, and this work may be distributed +% or modified under the terms of that license or, at your option, any +% later version. +% +% This work has the LPPL maintenance status 'maintained'. +% +% The Current Maintainer of this work is Donald P. Goodman +% (dgoodmaniii@gmail.com). +% +% This work consists of the files shapes.dtx and +% shapes.ins, along with the generated file shapes.mp +% and shapes.pdf, and the README. + +\def\batchfile{shapes.ins} +\input docstrip.tex + +\preamble +This is a generated file. + +This document is copyright 2015 by Donald P. Goodman, and is +released publicly under the LaTeX Project Public License. The +distribution and modification of this work is constrained by the +conditions of that license. See + http://www.latex-project.org/lppl.txt +for the text of the license. This document is released +under version 1.3 of that license, and this work may be distributed +or modified under the terms of that license or, at your option, any +later version. + +This work has the LPPL maintenance status 'maintained'. + +The Current Maintainer of this work is Donald P. Goodman +(dgoodmaniii@gmail.com). + +This work consists of the files shapes.dtx and +shapes.ins, along with the generated file shapes.mp +and shapes.pdf, and the README. +\endpreamble + +\keepsilent +\generate{\file{shapes.mp}{\from{shapes.dtx}{package}}} + +\Msg{******************************************************} +\Msg{*} +\Msg{* To finish the installation you have to move the} +\Msg{* following file into a directory searched by Metapost:} +\Msg{*} +\Msg{* \space\space shapes.mp} +\Msg{*} +\Msg{* To produce the documentation run the file shapes.dtx} +\Msg{* through LaTeX.} +\Msg{*} +\Msg{* Happy Metaposting!} +\Msg{******************************************************} + +\endbatchfile +\endinput |