From: Maxime Chupin (escudo) Date: Tue, 29 Nov 2016 22:26:44 +0000 (+0100) Subject: Doc: documentation des nouvelles macros (Voronoi, gmsh), tentative de mise en place... X-Git-Url: https://melusine.eu.org/syracuse/G/git/?a=commitdiff_plain;h=1b7b34394c35546e9ae75eb3d61e71626922a82c;p=delaunay.git Doc: documentation des nouvelles macros (Voronoi, gmsh), tentative de mise en place de animate, echec --- diff --git a/doc/animation-crop.pdf b/doc/animation-crop.pdf new file mode 100644 index 0000000..2ea7b9b Binary files /dev/null and b/doc/animation-crop.pdf differ diff --git a/doc/biblio.bib b/doc/biblio.bib index 209f7bd..4d7ab75 100644 --- a/doc/biblio.bib +++ b/doc/biblio.bib @@ -46,6 +46,13 @@ Timestamp = {2016.11.28} } +@Manual{animate, + Title = {The animate Package}, + Author = {Grahn, Alexander}, + Note = {}, + Year = {2016}, +} + @Manual{tikz, Title = {pgf – Create PostScript and PDF graphics in TeX}, Author = {Tantau, Till and Feuersänger, Christian}, @@ -55,6 +62,15 @@ Owner = {chupin}, Timestamp = {2016.11.28} } +@Manual{gmsh, + Title = {Gmsh Reference Manual}, + Author = {Geuzaine, Christophe and Remacle, Jean-Francois Tantau}, + Note = {v. 2.14}, + Year = {2016}, + + Owner = {chupin}, + Timestamp = {2016.11.28} +} @Article{Watson, Title = {Computing the {$n$}-dimensional {D}elaunay tessellation with @@ -74,4 +90,3 @@ Mrnumber = {619577}, Url = {http://dx.doi.org/10.1093/comjnl/24.2.167} } - diff --git a/doc/dum.bbl b/doc/dum.bbl index 2e90ecb..3292624 100644 --- a/doc/dum.bbl +++ b/doc/dum.bbl @@ -12,6 +12,15 @@ Pascal~Jean Frey and Paul-Louis George. 2008. \newblock Application to finite elements. +\bibitem{gmsh} +Christophe Geuzaine and Jean-Francois~Tantau Remacle. +\newblock {\em Gmsh Reference Manual}, 2016. +\newblock v. 2.14. + +\bibitem{animate} +Alexander Grahn. +\newblock {\em The animate Package}, 2016. + \bibitem{luamplib} Hans Hagen, Taco Hoekwater, Élie Roux, Manuel Pégourié-Gonnard, Philipp Gesang, and Dohyun Kim. diff --git a/doc/luamesh-doc.listing b/doc/luamesh-doc.listing index 6d412ad..12eb637 100644 --- a/doc/luamesh-doc.listing +++ b/doc/luamesh-doc.listing @@ -1,26 +1,128 @@ + \documentclass{article} + %% lualatex compilation + \usepackage[margin=2.5cm]{geometry} + \usepackage{luamesh} + \usepackage{fontspec} + \usepackage{multido} + \pagestyle{empty} + + \def\drawPath{draw (-2,-2)*u--(8,-2)*u--(8,6)*u--(-2,6)*u--cycle withcolor 0.99white;} + \def\clipPath{clip currentpicture to (-2,-2)*u--(8,-2)*u--(8,6)*u--(-2,6)*u--cycle;} + + \begin{document} + \drawPointsMeshinc[ - tikz, - color = blue!50, - print = points, - meshpoint = x, - scale=0.8cm, - ]{(0.3,0.3);(1.5,1);(4,0);(4.5,2.5);(1.81,2.14);(2.5,0.5);(2.8,1.5)}% - {% code before + mode=ext, + bbox = show, + colorBbox = blue!20, + print=points + ] + {mesh.txt}% + {% + beginfig(0); + \drawPath }% - {% code after - \node[color = blue!50] at (0,2) {Mesh $\mathbb{T}$} ; + {% + \clipPath + endfig; } - \buildMeshBWinc[% - tikz, + \newpage + \buildMeshBWinc[ + mode=ext, bbox = show, - color = red, - colorBbox = blue!30, - print = points, - meshpoint = x, - scale=0.8cm - ]{(0.3,0.3);(1.5,1);(4,0);(4.5,2.5);(1.81,2.14);(2.5,0.5);(2.8,1.5)}% - {% code before + colorBbox = blue!20, + print=points + ] + {meshInit.txt}% + {% + beginfig(0); + \drawPath + }% + {% + \clipPath + endfig; } - {% code after - \draw[<->,thick, color=green] (MeshPoints3) -- (MeshPoints9); + \multido{\ii=5+1}{4}{% + \newpage + \meshAddPointBWinc[ + mode=ext,step=badtriangles, + colorNew =green!20!red, + colorBack=red!10, + colorCircle = blue, + bbox = show, + colorBbox = blue!20 + ] + {mesh.txt}{\ii}% + {% + beginfig(0); + \drawPath + }% + {% + \clipPath + endfig; + } \newpage + \meshAddPointBWinc[ + mode=ext,step=cavity, + colorNew =green!20!red, + colorBack=red!10, + colorCircle = blue, + bbox = show, + colorBbox = blue!20 + ] + {mesh.txt}{\ii}% + {% + beginfig(0); + \drawPath + }% + {% + \clipPath + endfig; + } \newpage + \meshAddPointBWinc[ + mode=ext,step=newtriangles, + colorNew =green!20!red, + colorBack=red!10, + colorCircle = blue, + bbox = show, + colorBbox = blue!20] + {mesh.txt}{\ii}% + {% + beginfig(0); + \drawPath + }% + {% + \clipPath + endfig; + } + } + \newpage + \buildMeshBWinc[ + mode=ext, + bbox = show, + colorBbox = blue!20, + print=points + ] + {mesh.txt}% + {% + beginfig(0); + \drawPath + }% + {% + \clipPath + endfig; + } + \newpage + \buildMeshBWinc[ + mode=ext, + print=points + ] + {mesh.txt}% + {% + beginfig(0); + \drawPath + }% + {% + \clipPath + endfig; } +\end{document} diff --git a/doc/luamesh-doc.out b/doc/luamesh-doc.out index 0ad3797..4a7328f 100644 --- a/doc/luamesh-doc.out +++ b/doc/luamesh-doc.out @@ -18,3 +18,11 @@ \BOOKMARK [2][-]{subsection.3.2}{With TikZ}{section.3}% 18 \BOOKMARK [3][-]{subsubsection.3.2.1}{The Mesh Points}{subsection.3.2}% 19 \BOOKMARK [3][-]{subsubsection.3.2.2}{Examples}{subsection.3.2}% 20 +\BOOKMARK [1][-]{section.4}{Voronio Diagrams}{}% 21 +\BOOKMARK [2][-]{subsection.4.1}{The Options}{section.4}% 22 +\BOOKMARK [2][-]{subsection.4.2}{The inc variant}{section.4}% 23 +\BOOKMARK [1][-]{section.5}{With Gmsh}{}% 24 +\BOOKMARK [2][-]{subsection.5.1}{Gmsh and Voronoi Diagrams}{section.5}% 25 +\BOOKMARK [2][-]{subsection.5.2}{The inc variants}{section.5}% 26 +\BOOKMARK [1][-]{section.6}{Gallery}{}% 27 +\BOOKMARK [2][-]{subsection.6.1}{With Animate}{section.6}% 28 diff --git a/doc/luamesh-doc.pdf b/doc/luamesh-doc.pdf index 80e38e2..a457758 100644 Binary files a/doc/luamesh-doc.pdf and b/doc/luamesh-doc.pdf differ diff --git a/doc/luamesh-doc.tex b/doc/luamesh-doc.tex index 80469eb..75a1251 100644 --- a/doc/luamesh-doc.tex +++ b/doc/luamesh-doc.tex @@ -12,7 +12,7 @@ \usepackage{enumitem} \usepackage[tikz]{bclogo} \usepackage{wrapfig} - +\usepackage{animate} \title{\Verb+luamesh+: compute and draw meshes with \lualatex} \author{Maxime Chupin \email{mc@melusine.eu.org}} @@ -609,7 +609,7 @@ and \Verb+endfig;+ commands to produce a picture. Indeed, this allows to use the \Verb+\everymplib+ command from the \Verb+\luamplib+ package. \end{warning} -\subsubsection{The \LaTeX{} Colors Inside the MetaPost Code} +\subsubsection{The \LaTeX{} Colors Inside the MetaPost Code}\label{sec:mpcolor} The configurable colors of the \LaTeX{} macro are accessible inside the MetaPost code. For @@ -757,6 +757,323 @@ Once again these coordinates are not yet defined for the \meta{code } \end{Exemple} +\section{Voronio Diagrams} + +Another interesting concept of Delaunay triangulation is that it is +\emph{dual} to it so-called Voronio diagram. For a finite set of +points $\{p_{1},\ldots, p_{n}\}$ in the Euclidean plane, for all +$p_{k}$, it corresponds a Voronoi cell $R_{k}$ consisting of +every point in the Euclidean plane whose distance to $p_{k}$ is less +than +or equal to its distance to any other $p_{k'}$.\bigskip + + +\commande|\buildVoronoiBW[«options»]{«list of points» or «file name»}|\medskip + +This macro produce the Voronio diagram dual to the Delaunay +triangulation (computed by the Bowyer and Watson +algorithm) of the given \meta{list of points}. Once again, the +list of +points must be given in the following way : +\begin{center} + \verb+(x1,y1);(x2,y2);(x3,y3);...;(xn,yn)+ +\end{center} + +\begin{Exemple} + \buildVoronoiBW{(0.3,0.3);(1.5,1);(4,0);(4.5,2.5);(1.81,2.14);(2.5,0.5);(2.8,1.5);(0.1,2);(1.5,-0.3)} +\end{Exemple} + +\subsection{The Options}\label{sec:voronoiOptions} + + +There are several options to customize the drawing. +\begin{optionsenum} +\item[mode = int (default) \textme{or} ext:] this option allows to + use either the previously described set of points in the argument, or + a file, containing, line by line (2 columns), the points. Such a + file looks like : +\begin{verbatim} +x1 y1 +x2 y2 +x3 y3 +... +xn yn +\end{verbatim} +\item[bbox = none (default) \textme{or} show:] this option allows to draw the + added points to form a \emph{bounding box}\footnote{The bounding + box is defined by four points place at 15\% around the box + defined by $(x_{\min},y_{\min})$, $(x_{\min},y_{\max})$, + $(x_{\max},y_{\max})$, and $(x_{\min},y_{\max})$. It is used by + the algorithm and will be computed in any case.} and the corresponding + triangulation. By default, these points are removed at the end of + the algorithm. +\item[color = \meta{value} (default: black):] The color of the + drawing. +\item[colorBbox = \meta{value} (default: black):] The color of the + drawing for the elements (points and triangles) belonging to the + bounding box. +\item[colorVoronoi = \meta{value} (default: black):] The color of the + drawing for the elements (points and polygons) belonging to the + Voronoi diagram. +\item[print = none (default) \textme{or} points:] To label the vertices of the + triangulation. Contrary to the previous macros, where + \Verb+print=none+, a \emph{dot} is produced at each vertex (of the + set of points and on the circumcircle center which are the nodes of + the Voronoi diagram). +\item[meshpoint = \meta{value} (default: P):] The letter(s) used to + label the vertices of the triangulation. It is included in the math + mode delimiters \Verb+$...$+. The bounding box points are labeled + with numbers 1 to 4 and with a star exponent. +\item[circumpoint = \meta{value} (default: P):] The letter(s) used to + label the vertices of the Voronoi diagram. It is included in the math + mode delimiters \Verb+$...$+. +\item[tikz (boolean, default:false):] By default, this boolean is set + to \Verb+false+, and MetaPost (with \Verb+luamplib+) is used to draw + the picture. With this option, \Verb+tikz+ becomes the \textit{drawing + engine}. +\item[scale = \meta{value} (default: 1cm):] The scale option defines + the scale at which the picture is drawn (the same for both + axes). It must contain the unit of length (cm, + pt, etc.). +\end{optionsenum} + + +\subsection{The \emph{inc} variant} + +Once again, a variant of the macros is available allowing the user to +add code before and after the code produced by \luamesh. We refer to +the section~\ref{sec:inc} because it works the same way. + +Let us note that: +\begin{itemize} +\item with MetaPost, the circumcenters are defined using + \Verb+pair CircumPoints[];+, and so, are accessible. +\item With \Verb+tikz+, there are new coordinates defined as follows + \begin{latexcode} + \coordinate (CircumPoints1) at (...,...); + \coordinate (CircumPoints2) at (...,...); + \coordinate (CircumPoints3) at (...,...); + % etc. + \end{latexcode} +\end{itemize} + +Finally, when the MetaPost drawing engine is used, another color is +available (see~\ref{sec:mpcolor}): \Verb+\luameshmpcolorVoronoi+. + + +\section{With Gmsh} + +Gmsh is a open source efficient software that produces meshes. The +exporting format is the \emph{MSH ASCII file format} and can be easily +read by a Lua program. \luamesh provides the user with dedicated +macros to read and draw meshes coming from a Gmsh exportation.\bigskip + +\commande|\drawGmsh[«options»]{«file name»}|\medskip + +This macro draw the triangulation produced by Gmsh and exported in the +\Verb+msh+ format. The argument is the name of the file to read +(e.g.: \Verb+maillage.msh+). + +\begin{Exemple} +\drawGmsh{maillage.msh} +\end{Exemple} + +There are several options to customize the drawing. +\begin{optionsenum} +\item[color = \meta{value} (default: black):] The color of the + drawing. +\item[print = none (default) \textme{or} points:] To label the vertices of the + triangulation. Contrary to the previous macros, where + \Verb+print=none+, a \emph{dot} is produced at each vertex (of the + set of points and on the circumcircle center which are the nodes of + the Voronoi diagram). +\item[meshpoint = \meta{value} (default: P):] The letter(s) used to + label the vertices of the triangulation. It is included in the math + mode delimiters \Verb+$...$+. The bounding box points are labeled + with numbers 1 to 4 and with a star exponent. +\item[tikz (boolean, default:false):] By default, this boolean is set + to \Verb+false+, and MetaPost (with \Verb+luamplib+) is used to draw + the picture. With this option, \Verb+tikz+ becomes the \textit{drawing + engine}. +\item[scale = \meta{value} (default: 1cm):] The scale option defines + the scale at which the picture is drawn (the same for both + axes). It must contain the unit of length (cm, + pt, etc.). +\end{optionsenum} +Here is an example: +\begin{Exemple} + \drawGmsh[scale=2cm,print=points, color=blue!30]{maillage.msh} +\end{Exemple} + +\subsection{Gmsh and Voronoi Diagrams} + +Because Gmsh generates Delaunay triangulations, we can plot the +Voronoi diagram associated. This is done by the following macro:\bigskip + +\commande|\gmshVoronoi[«options»]{«file name»}|\medskip + +\begin{Exemple} + \gmshVoronoi{maillage.msh} +\end{Exemple} + +We refer to the section~\ref{sec:voronoiOptions} for the list of the options. + +\subsection{The \emph{inc} variants} + +Once again, there exists \emph{inc} variant macros:\bigskip + +\commande|\drawGmshinc[«options»]{«file name»}{«code before»}{«code after»}|\medskip + +\commande|\gmshVoronoiinc[«options»]{«file name»}{«code before»}{«code after»}|\medskip + +We refer to the previous sections for explanations. + +\section{Gallery} +\subsection{With Animate} + +If you use \emph{adobe acrobat reader}, you can easily produce an +animation of the Bowyer and Watson algorithm with the package +\Verb+animate+. + +For example, the following code (in a file name \Verb+animation.tex+): +\begin{latexcode} + \documentclass{article} + %% lualatex compilation + \usepackage[margin=2.5cm]{geometry} + \usepackage{luamesh} + \usepackage{fontspec} + \usepackage{multido} + \pagestyle{empty} + + \def\drawPath{draw (-2,-2)*u--(8,-2)*u--(8,6)*u--(-2,6)*u--cycle withcolor 0.99white;} + \def\clipPath{clip currentpicture to (-2,-2)*u--(8,-2)*u--(8,6)*u--(-2,6)*u--cycle;} + + \begin{document} + + \drawPointsMeshinc[ + mode=ext, + bbox = show, + colorBbox = blue!20, + print=points + ] + {mesh.txt}% + {% + beginfig(0); + \drawPath + }% + {% + \clipPath + endfig; + } + \newpage + \buildMeshBWinc[ + mode=ext, + bbox = show, + colorBbox = blue!20, + print=points + ] + {meshInit.txt}% + {% + beginfig(0); + \drawPath + }% + {% + \clipPath + endfig; + } + \multido{\ii=5+1}{4}{% + \newpage + \meshAddPointBWinc[ + mode=ext,step=badtriangles, + colorNew =green!20!red, + colorBack=red!10, + colorCircle = blue, + bbox = show, + colorBbox = blue!20 + ] + {mesh.txt}{\ii}% + {% + beginfig(0); + \drawPath + }% + {% + \clipPath + endfig; + } \newpage + \meshAddPointBWinc[ + mode=ext,step=cavity, + colorNew =green!20!red, + colorBack=red!10, + colorCircle = blue, + bbox = show, + colorBbox = blue!20 + ] + {mesh.txt}{\ii}% + {% + beginfig(0); + \drawPath + }% + {% + \clipPath + endfig; + } \newpage + \meshAddPointBWinc[ + mode=ext,step=newtriangles, + colorNew =green!20!red, + colorBack=red!10, + colorCircle = blue, + bbox = show, + colorBbox = blue!20] + {mesh.txt}{\ii}% + {% + beginfig(0); + \drawPath + }% + {% + \clipPath + endfig; + } + } + \newpage + \buildMeshBWinc[ + mode=ext, + bbox = show, + colorBbox = blue!20, + print=points + ] + {mesh.txt}% + {% + beginfig(0); + \drawPath + }% + {% + \clipPath + endfig; + } + \newpage + \buildMeshBWinc[ + mode=ext, + print=points + ] + {mesh.txt}% + {% + beginfig(0); + \drawPath + }% + {% + \clipPath + endfig; + } +\end{document} +\end{latexcode} +produces a PDF with multiple pages. Using the \Verb+pdfcrop+ program, +we crop the pages to the material, and then we can animate the PDF +using the \Verb+animate+ package. + +%\begin{Exemple} +%\animategraphics[controls]{1}{animation-crop}{}{} +%\end{Exemple} + \input{dum.bbl} \end{document} diff --git a/doc/luamesh-doc.toc b/doc/luamesh-doc.toc index a26054d..5b9e8cf 100644 --- a/doc/luamesh-doc.toc +++ b/doc/luamesh-doc.toc @@ -1,14 +1,14 @@ \select@language {english} \contentsline {section}{\numberline {1}Installation}{3}{section.1} \contentsline {subsection}{\numberline {1.1}With \TeX live and Linux or Mac OSX}{3}{subsection.1.1} -\contentsline {subsection}{\numberline {1.2}With Mik\TeX {} and Windows}{3}{subsection.1.2} -\contentsline {subsection}{\numberline {1.3}A \LuaLaTeX \xspace package}{3}{subsection.1.3} +\contentsline {subsection}{\numberline {1.2}With Mik\TeX {} and Windows}{4}{subsection.1.2} +\contentsline {subsection}{\numberline {1.3}A \LuaLaTeX \xspace package}{4}{subsection.1.3} \contentsline {subsection}{\numberline {1.4}Dependencies}{4}{subsection.1.4} \contentsline {section}{\numberline {2}The Basic Macros}{4}{section.2} \contentsline {subsection}{\numberline {2.1}Draw a Complete Mesh}{4}{subsection.2.1} -\contentsline {subsubsection}{\numberline {2.1.1}The Options}{4}{subsubsection.2.1.1} +\contentsline {subsubsection}{\numberline {2.1.1}The Options}{5}{subsubsection.2.1.1} \contentsline {subsection}{\numberline {2.2}Draw the Set of Points}{6}{subsection.2.2} -\contentsline {subsubsection}{\numberline {2.2.1}The Options}{6}{subsubsection.2.2.1} +\contentsline {subsubsection}{\numberline {2.2.1}The Options}{7}{subsubsection.2.2.1} \contentsline {subsection}{\numberline {2.3}Draw a Step of the Bowyer and Watson Algorithm}{8}{subsection.2.3} \contentsline {subsubsection}{\numberline {2.3.1}The Options}{9}{subsubsection.2.3.1} \contentsline {section}{\numberline {3}The \emph {inc} Macros}{11}{section.3} @@ -19,3 +19,11 @@ \contentsline {subsection}{\numberline {3.2}With TikZ}{14}{subsection.3.2} \contentsline {subsubsection}{\numberline {3.2.1}The Mesh Points}{14}{subsubsection.3.2.1} \contentsline {subsubsection}{\numberline {3.2.2}Examples}{14}{subsubsection.3.2.2} +\contentsline {section}{\numberline {4}Voronio Diagrams}{15}{section.4} +\contentsline {subsection}{\numberline {4.1}The Options}{16}{subsection.4.1} +\contentsline {subsection}{\numberline {4.2}The \emph {inc} variant}{17}{subsection.4.2} +\contentsline {section}{\numberline {5}With Gmsh}{17}{section.5} +\contentsline {subsection}{\numberline {5.1}Gmsh and Voronoi Diagrams}{18}{subsection.5.1} +\contentsline {subsection}{\numberline {5.2}The \emph {inc} variants}{19}{subsection.5.2} +\contentsline {section}{\numberline {6}Gallery}{19}{section.6} +\contentsline {subsection}{\numberline {6.1}With Animate}{19}{subsection.6.1} diff --git a/doc/maillage.geo b/doc/maillage.geo new file mode 100644 index 0000000..ca09615 --- /dev/null +++ b/doc/maillage.geo @@ -0,0 +1,9 @@ +// Gmsh project created on Tue Nov 29 22:45:35 2016 +Point(1) = {0, 0, 0, .5}; 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