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diff --git a/obsolete/macros/latex/contrib/alterqcm/README b/obsolete/macros/latex/contrib/alterqcm/README new file mode 100644 index 0000000000..584504e733 --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/README @@ -0,0 +1,68 @@ +Contents of the README file (v 4.1) + +A. Purpose + +The 'alterqcm' package is a LaTeX2e package, for making Multiple Choices Questionnaires + in a table with two columns. The aim is to provide some useful macros to build + QCM in tables. These macros may be used by only LaTeX TeX users. + The documentation is in French. + +B. Features + -- A special environment allows you to define questions and possible answers; + -- You can specify which answers are correct and which are not. + -- works with utf8 and pdflatex and xelatex; + -- allows to use 'longtable'; + -- makes automatically adjustment; + -- generates a 'grid' that the students will have to fill in; + -- generates a 'mask' with correct answers to print a slide. + +C. Licence + +You may freely use and distribute this package under the terms of lppl and/or gpl. + +Read file doc_aq.pdf in the doc directory, for the complete documentation. +File article_post.pdf is a complete description of the package's functionality +in Greek. NB. People who want to use the package in Greek language documents +should also use the xgreek package. + +D. Contents of the folder (encoding utf8) + + -- README (this file) + -- inputs: alterqcm.sty + -- doc: doc-aq.pdf, + example_1.tex, + example_1.pdf, + example_2.tex, + example_2.pdf, + etc... + + +E. Installation + +If you need to install it by yourself, a TDS compliant zip archive is +provided (aq.zip). Just download that file, and unpack it in +your TDS directory (~/texmf for Unix-like systems). If you only need to use + 'alterqcm.sty' then you have to copy 'alterqcm.sty' into '~/texmf/tex/latex'. + + +With MiKTeX, copy folder 'alterqcm.sty' into 'C:\texmf\tex\latex', then +run 'MiKTeX Options'. In the 'File name database' section, click on +'Refresh now'. + +F. History + +-- 4.1 A fix in the definition of \AQquestion + +-- 4.0 Added full linguistic support + +-- 3.7 Correction of bug + add the macro \AQpoints + +G. The original author of the 'alterqcm.sty' package is Alain Matthes. This + version was developed by Apostolos Syropoulos and Anastasios Dimou. +-- +Alain Matthes, <al.ma@mac.com> +Apostolos Syropoulos, <asyropoulos@yahoo.com> +Anastastios Dimou, <ansdimou@tassosdimou.gr> +June, 24th, 2019 + diff --git a/obsolete/macros/latex/contrib/alterqcm/doc/README b/obsolete/macros/latex/contrib/alterqcm/doc/README new file mode 100644 index 0000000000..33e1123bd6 --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/doc/README @@ -0,0 +1,7 @@ +How to compile the sources + +$ cd the_path_of_sources +$ pdflatex doc_aq-main.tex +$ makeindex -s aq.ist doc_aq-main.idx +$ pdflatex doc_aq-main.tex +$ xelatex article_post.tex diff --git a/obsolete/macros/latex/contrib/alterqcm/doc/article_post.pdf b/obsolete/macros/latex/contrib/alterqcm/doc/article_post.pdf Binary files differnew file mode 100644 index 0000000000..be3c103baa --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/doc/article_post.pdf diff --git a/obsolete/macros/latex/contrib/alterqcm/doc/doc_aq-screen.pdf b/obsolete/macros/latex/contrib/alterqcm/doc/doc_aq-screen.pdf Binary files differnew file mode 100644 index 0000000000..d92bbf1c98 --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/doc/doc_aq-screen.pdf diff --git a/obsolete/macros/latex/contrib/alterqcm/doc/latex/180px-Gustave_Moreau_007.jpg b/obsolete/macros/latex/contrib/alterqcm/doc/latex/180px-Gustave_Moreau_007.jpg Binary files differnew file mode 100644 index 0000000000..ab4d879cfe --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/doc/latex/180px-Gustave_Moreau_007.jpg diff --git a/obsolete/macros/latex/contrib/alterqcm/doc/latex/240px-Mort_du_fossoyeur.jpg b/obsolete/macros/latex/contrib/alterqcm/doc/latex/240px-Mort_du_fossoyeur.jpg Binary files differnew file mode 100644 index 0000000000..70d5f0d0f5 --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/doc/latex/240px-Mort_du_fossoyeur.jpg diff --git a/obsolete/macros/latex/contrib/alterqcm/doc/latex/The_Wounded_Angel_-_Hugo_Simberg.jpg b/obsolete/macros/latex/contrib/alterqcm/doc/latex/The_Wounded_Angel_-_Hugo_Simberg.jpg Binary files differnew file mode 100644 index 0000000000..0befd93b07 --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/doc/latex/The_Wounded_Angel_-_Hugo_Simberg.jpg diff --git a/obsolete/macros/latex/contrib/alterqcm/doc/latex/aq.ist b/obsolete/macros/latex/contrib/alterqcm/doc/latex/aq.ist new file mode 100644 index 0000000000..935392d700 --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/doc/latex/aq.ist @@ -0,0 +1,6 @@ +heading_prefix "{\\bfseries\\hfil " +heading_suffix "\\hfil}\\nopagebreak\n" +headings_flag 1 +delim_0 "\\dotfill" +delim_1 "\\dotfill" +delim_2 "\\dotfill" diff --git a/obsolete/macros/latex/contrib/alterqcm/doc/latex/article_post.tex b/obsolete/macros/latex/contrib/alterqcm/doc/latex/article_post.tex new file mode 100644 index 0000000000..6ebc2b9676 --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/doc/latex/article_post.tex @@ -0,0 +1,806 @@ +\documentclass[11pt]{article} +\usepackage{xltxtra} +\usepackage{xgreek} +\usepackage{mathtools} +\usepackage{amsthm} +\usepackage{amssymb} +\usepackage{unicode-math} +\usepackage{xkeyval} +\usepackage[% +a4paper,% +textwidth=16cm, +top=2cm,% +bottom=2cm,% +headheight=25pt,% +headsep=12pt,% +footskip=25pt]{geometry}% +\usepackage[greek]{alterqcm} +\usepackage{tikz} +\usepackage{tkz-tab} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\def\PP#1{\texttt{\char`\\#1}} +\setmainfont[Mapping=tex-text]{Arno Pro} +\setmathfont[Scale=MatchUppercase]{Asana Math} +\setmonofont[Scale=MatchLowercase]{Consolas} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + + +\begin{document} + \title{Το πακέτο alterqcm. Δημιουργία καλαίσθητων διαγωνισμάτων με ερωτήσεις κλειστού τύπου.} + \author{Απόστολος Συρόπουλος-Τάσσος Δήμου} + \date{24 Ιουνίου 2019} + \maketitle +\section{Εισαγωγή} +Ο Alain Matthes μας έχει συνηθίσει σε ενδιαφέροντα πακέτα για το \LaTeX\ , που είναι μάλιστα πολύ σχετικά με τα δικά μας προγράμματα, το στυλ και το ύφος τους. Ένα τέτοιο παράδειγμα είναι και το \texttt{tkz-tab}, που παρουσιάστηκε πέρυσι στο \texttt{https://tassosdimou.gr/variation-table}. + +Το πακέτο \textsf{alterqcm} είναι ακόμη ένα πακέτο του Alain Matthes για το \LaTeX\, που θα μας βοηθήσει στη κατασκευή καλαίσθητων διαγωνισμάτων με ερωτήσεις πολλαπλής επιλογής και σωστού-λάθους. + +Το \textsf{alterqcm} τροποποιήθηκε από τους Απόστολο Συρόπουλο και Τάσσο Δήμου έτσι, ώστε να προσαρμοστεί στα δεδομένα του ελληνικού εκπαιδευτικού συστήματος. + + Το άρθρο αναπτύσσει με λεπτομέρειες και πολλά παραδείγματα τις δυνατότητες του \textsf{alterqcm}. Δίνει οδηγίες για τη χρήση του και στο τέλος θα δοθούν μερικά παραδείγματα διαγωνισμάτων. + +\section{Εγκατάσταση του πακέτου} +Θα υποδείξουμε έναν απλό τρόπο εγκατάστασης του πακέτου. Δημιουργούμε ένα φάκελο, στον οποίο θα αποθηκευτούν όλα τα αρχεία, που θα επεξεργαστούμε, μελετώντας το \textsf{alterqcm}. Με άλλα λόγια, στον φάκελο αυτόν αποθηκεύουμε τα αρχεία \texttt{.tex}, τις εικόνες που θα χρησιμοποιηθούν και το αρχείο \texttt{alterqcm.sty}, που θα κατεβάσουμε από τη διεύθυνση \texttt{https://ctan.org/pkg/alterqcm?lang=en}. Το πακέτο θα φορτωθεί με την επιλογή \texttt{greek}, δηλαδή θα δώσουμε την εντολή: +\begin{verbatim} +\usepackage[greek]{alterqcm} +\end{verbatim} +Όλα τα αρχεία θα έχουν την κλασσική δομή των αρχείων \texttt{.tex}. + +Στο πρώτο μέρος, το προοίμιο, θα τοποθετήσουμε τα: +\begin{verbatim} +\documentclass[11pt,a4paper]{article} +\usepackage{xltxtra} +\usepackage{xgreek} +\usepackage{mathtools} +\usepackage{amsthm} +\usepackage{amssymb} +\usepackage{unicode-math} +\usepackage{xkeyval} +\usepackage{multirow,longtable} +\usepackage[greek]{alterqcm} +\usepackage{tikz} +\usepackage{tkz-tab} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\parindent=0pt +\setmainfont[Mapping=tex-text,Ligatures=Common]{Minion Pro} +\setmathfont[Scale=MatchUppercase]{Asana Math} +\end{verbatim} +Αν τo διαγώνισμα δεν περιέχει μαθηματικές εξισώσεις ή σύμβολα, τότε αφαιρούμε από το προοίμιο τα πακέτα\linebreak \texttt{mathtools,amsthm,amssymb}. +Το κύριο σώμα του διαγωνίσματος περιέχεται ανάμεσα στα +\begin{verbatim} +\begin{document} +................ +\end{document} +\end{verbatim} + +\section{Το περιβάλλον \texttt{alterqcm} και η μακροεντολή \texttt{\PP AQquestion}} + +Το περιβάλλον \texttt{alterqcm} εισάγεται, όπως όλα τα περιβάλλοντα με: +\begin{verbatim} +\begin{alterqcm} +............... +\end{alterqcm} +\end{verbatim} +Φυσικά δέχεται διάφορες παραμέτρους, που θα αναλύσουμε διεξοδικά και θα εφαρμόσουμε στα επόμενα με πολλά παραδείγματα. + +Μέσα στο περιβάλλον εντάσσουμε και την μακροεντολή \verb|\AQquestion|, με την οποία εισάγουμε ερωτήσεις πολλαπλής επιλογής. Σημειωτέον ότι κι εδώ έχουμε διάφορες παραμέτρους, που θα δούμε στην πορεία. + +Ας προχωρήσουμε στο πρώτο μας παράδειγμα. + +\vspace{10pt} +\includegraphics[scale=]{shadows_box.pdf} +\begin{enumerate} + \item Ξεκινάμε ένα καινούργιο αρχείο, που το ονομάζουμε \texttt{doc1} και το σώζουμε στο φάκελο που δημιουργήσαμε, έστω τον \texttt{myfolder}. Έτσι θα έχουμε μέσα στο φάκελο \texttt{myfolder} το αρχείο \texttt{doc1.tex}. + \item Στο προοίμιο του αρχείου τυπώνουμε: + \begin{verbatim} + \documentclass[11pt,a4paper]{article} + \usepackage{xltxtra} + \usepackage{xgreek} + \usepackage{amsmath,amssymb} + \usepackage{xkeyval} + \usepackage{multirow,longtable} + \usepackage{alterqcm} + \setmainfont[Mapping=tex-text,Ligatures=Common]{Minion Pro} + \parindent=0pt + \end{verbatim} + \item Στο σώμα του αρχείου τυπώνουμε: + \begin{verbatim} +\begin{alterqcm} +\AQquestion{Ερώτηση}{% +{Επιλογή 1}, +{Επιλογή 2}, +{Επιλογή 3}} +\end{alterqcm} +\end{document} +\end{verbatim} + \item +Ας αποκρυπτογραφήσουμε τώρα ό,τι τυπώσαμε στο κυρίως σώμα του εγγράφου μας. Ανοίξαμε αντιστοίχως κλείσαμε το περιβάλλον \texttt{alterqcm} με +\begin{verbatim} +\begin{alterqcm} +............... +\end{alterqcm} +\end{verbatim} +Μέσα σε αυτό προσθέσαμε την εντολή \verb|\AQquestion|, που συντάσσεται ως εξής: + +\verb|\AQquestion{η ερώτηση}{{επιλογή 1η},{επιλογή 2η},...,{επιλογή n}}| + +Εξάγουμε το εκτυπώσιμο pdf και θα πάρουμε: +\end{enumerate} +\begin{center} +\includegraphics[scale=]{example_1.pdf} +\end{center} + +Όσες ερωτήσεις έχουμε, τόσες φορές με τον ίδιο τρόπο θα προσθέσουμε την εντολή \verb|\AQquestion|. + +Στο παράδειγμά μας έγινε μια φορά. + +\subsection{Η παράμετρος \texttt{lq}} +Η παράμετρος \texttt{lq} ορίζει το πλάτος του κελιού της ερώτησης. Άρα έμμεσα ρυθμίζει και το πλάτος του πίνακα. Φυσικά σε κάθε περίπτωση έχουμε, αν απαιτείται, αναδίπλωση του κειμένου. + Ας προχωρήσουμε σε ένα δεύτερο παράδειγμα. +\begin{center} +\includegraphics[scale=]{example_3.pdf} +\end{center} +Για να πάρουμε το παραπάνω εκτυπώσιμο pdf, πληκτρολογήσαμε στο κυρίως σώμα του εγγράφου μας: +\begin{verbatim} +\begin{alterqcm}[lq=5cm] +\AQquestion{Μεταξύ των διπλανών προτάσεων ποια είναι αυτή που αποδεικνύει ότι η + ασύμπτωτη της εκθετικής συνάρτησης έχει εξίσωση $y = 0$;} +{{$\displaystyle\lim_{x \to +\infty}\text{e}^x = + \infty$}, +{$\displaystyle\lim_{x \to -\infty} \text{e}^x = 0$}, +{$\displaystyle\lim_{x \to +\infty} \dfrac{\text{e}^x}{x} = + \infty$}} +\AQquestion[]{$e^{\ln x} = x$ για κάθε $x$ που ανήκει στο } +{{$\mathbf{R}$}, +{$\big(0~;~+ \infty\big)$}, +{$\big[0~;~+\infty\big)$} +}\end{alterqcm} +\end{verbatim} +Εννοείται ότι το προοίμιο του αρχείου, παραμένει το ίδιο. Σώζουμε το αρχείο μας με το όνομα \texttt{doc2.tex} στο φάκελο \texttt{myfolder}. + +\section{Εφαρμογή του περιβάλλοντος \texttt{minipage}} + +Ας δούμε το προηγούμενο παράδειγμα ενταγμένο σε περιβάλλον \texttt{minipage}. +\begin{center} +\begin{minipage}{0.4\textwidth} +\begin{verbatim} +\begin{alterqcm}[lq=5cm] +\AQquestion{Μεταξύ των διπλανών +προτάσεων ποια είναι αυτή που +αποδεικνύει ότι η +ασύμπτωτη της εκθετικής +συνάρτησης έχει + εξίσωση $y = 0$;} +{{$\displaystyle\lim_{x \to +\infty} +\text{e}^x = + \infty$}, +{$\displaystyle\lim_{x \to -\infty} +\text{e}^x = 0$}, +{$\displaystyle\lim_{x \to +\infty} +\dfrac{\text{e}^x}{x} = +\infty$}} +\AQquestion[]{$e^{\ln x} = x$ για +κάθε $x$ που ανήκει στο } +{{$\mathbf{R}$}, +{$\big(0~;~+ \infty\big)$}, +{$\big[0~;~+\infty\big)$} +}\end{alterqcm} +\end{verbatim} +\end{minipage} +\begin{minipage}{0.5\textwidth} +\includegraphics[scale=0.63]{multiple_choice.pdf} +\end{minipage} +\end{center} + +\subsection{Η παράμετρος \texttt{pq}} + +Η παράμετρος \texttt{pq} ρυθμίζει την κάθετη απόσταση του κειμένου της ερώτησης από το πάνω μέρος του κελιού. Αν θέλουμε να έχει καθολική ισχύ (global), τότε την γράφουμε ως επιλογή του περιβάλλοντος \texttt{alterqcm}. Αν θέλουμε να ρυθμίσουμε μόνο μια ερώτηση, την προσθέτουμε ως παράμετρο της ερώτησης. Δηλαδή: + +Για καθολική ισχύ (global): \verb|\begin{alterqcm}[lq=85mm,pq=2mm]| + +Για τοπική ισχύ (local): \verb|\AQquestion[pq=2mm]| +\begin{center} +\includegraphics[scale=]{pq_global.pdf} +\end{center} +Για να έχουμε το παραπάνω αποτέλεσμα πληκτρολογήσαμε: +\begin{verbatim} +\begin{alterqcm}[lq=50mm,pq=2mm] +\AQquestion[pq=0mm]{Η ισότητα $\ln (x^2 - 1) = \ln (x - 1) + \ln (x+1)$ είναι αληθής} +{{Για κάθε $x\in (- \infty,\,-1) \cup(1,\,+ \infty)$}, {Για κάθε $x\in\mathbf{R} - \{-1,\,1\}$.}, +{Για κάθε $x\in (1,\,+\infty)$}} +\AQquestion{Για κάθε πραγματικό $x$, ο αριθμός \[\dfrac{\text{e}^x - 1} +{\text{e}^x + 2}\hskip12pt \text{ισούται με:} \] } +{{$-\dfrac{1}{2}$}, +{$\dfrac{\text{e}^{-x} - 1}{\text{e}^{-x} + 2}$}, +{$\dfrac{1 - \text{e}^{-x}}{1 + 2\text{e}^{-x}}$}} +\AQquestion{Θέτουμε $I=\int_{\ln2}^{\ln3}\dfrac{1}{e^x-1} +\text{d}x,~J=\int_{\ln2}^{\ln3}\dfrac{e^x}{e^x-1} +\text{d}x$ τότε το $I-J$ ισούται με:} +{{$\ln{\dfrac{2}{3}}$}, +{$\ln{\dfrac{3}{2}}$}, +{$\dfrac{3}{2}$} +} +\end{alterqcm} +\end{verbatim} +Παρατηρούμε ότι ορίσαμε ως καθολική τιμή το \verb|pq=2mm|, ενώ τοπικά στην πρώτη ερώτηση θέσαμε \verb|pq=0mm| + +\section{Ερωτήσεις Σωστού - Λάθους} + +Ερωτήσεις πολύ συνηθισμένες στα διαγωνίσματα και στις εξετάσεις στην Ελλάδα. Η εισαγωγή τους γίνεται με το γνωστό περιβάλλον: +\verb|\begin{minipage}[VF]|. Το πακέτο είναι σε γαλλική γλώσσα και Vrai σημαίνει αλήθεια (σωστό) ενώ Faux σημαίνει λάθος. Για να δούμε τι συμβαίνει όταν προσθέσουμε την παράμετρο \verb|VF|. + +\begin{center} +\includegraphics[scale=]{example_2.pdf} +\end{center} +Ο κώδικας για το παραπάνω εκτυπώσιμο pdf είναι: +\begin{verbatim} +\begin{alterqcm}[VF,lq=60mm] +\AQquestion[]{Ισχύει ότι $(α+β)^2=α^2+β^2$} +\AQquestion[]{Αν $α\cdot β\geq 0$, τότε $\sqrt{α\cdot β}=\sqrt{α}\cdot\sqrt{β}$ } +\AQquestion[]{Είναι $|α|=α,\,\text{για κάθε} + x\in\mathbb{R}$} +\end{alterqcm} +\end{verbatim} +\paragraph{Προσοχή} +Σχετικά με τα ελληνικά σε \emph{μαθηματικό περιβάλλον}. Στο \LaTeX\ τα ελληνικά εισάγονται με εντολές, όπως \verb|\alpha, \beta,κ.λ.π. \Alpha..|, αντίστοιχα για πεζά και κεφαλαία. Στο \XeLaTeX\ γράφουμε κανονικά τα ελληνικά, δηλαδή από το πληκτρολόγιο, αρκεί στο προοίμιο να έχουμε φορτώσει, εκτός από τα πακέτα \verb|xltxtra, xgreek|, επιπλέον το πακέτο \verb|unicode-math| και τη γραμματοσειρά \verb|Asana Math|, που δημιουργήθηκε και υποστηρίζεται από τον Απόστολο Συρόπουλο. Απλά δίνουμε την εντολή: + +\verb|\setmathfont[Scale=MatchUppercase]{Asana Math}|. + +\subsubsection*{Ένα πιο σύνθετο παράδειγμα Σωστού-Λάθους} +\begin{center} +\includegraphics[scale=0.95]{example_3_a_croped.pdf} +\end{center} +Στο παράδειγμα αυτό, παρουσιάζονται, κατά κάποιο τρόπο, δύο τμήματα. Στο πρώτο τμήμα, γράφουμε σε περιβάλλον \texttt{minimage} την εκφώνηση και παράλληλα το σχήμα (δημιουργήθηκε με χρήση του πακέτου tikz). Το δεύτερο τμήμα δημιουργήθηκε με το περιβάλλον \texttt{alterqcm} και έχει κώδικα: +\begin{verbatim} +\begin{alterqcm}[VF,pre=true,lq=125mm] +\AQquestion{Για κάθε $x \in (-\infty,\,2], +\;f^{\prime}(x) \geqslant 0$.} +\AQquestion{Η συνάρτηση $F$ παρουσιάζει + μέγιστο στο $2$} +\AQquestion{$\displaystyle\int_{0}^2 + f^{\prime}(x)\:\text{d}x = - 2$} +\end{alterqcm} + +\end{verbatim} + +\subsection{Η παράμετρος \texttt{pre}} + +Η παράμετρος, αν πάρει τη τιμή \texttt{pre=true} προσθέτει αυτόματα το κείμενο << Να επιλέξετε Σ(ωστό)...την απάντησή σας>>. Αυτό γίνεται όταν λειτουργεί μαζί με την παράμετρο \texttt{VF} στο όρισμα του περιβάλλοντος. Αν στο περιβάλλον δεν υπάρχει η \texttt{VF}, τότε η \texttt{pre=true} παράγει το κείμενο <<Για την ερώτηση που σας δίνεται,...την επιλογή σας>>, που παρουσιάζεται στις ερωτήσεις πολλαπλής επιλογής. Μπορούμε βέβαια να την αγνοήσουμε και να γράφουμε την "εκφώνηση", όπως την επιθυμούμε. + +\subsection{Η παράμετρος \texttt{sep} } +Προσθέτοντας την παράμετρο \verb|\text=true| στο περιβάλλον \verb|alterqcm|, δημιουργούνται οριζόντιες γραμμές ανάμεσα στις επιλογές. + +\vspace{15pt} +\begin{minipage}{0.3\textwidth} +\begin{verbatim} +\nogreekalph +\begin{alterqcm} +[lq=6cm,sep=true] +\AQquestion{Ερώτηση} +{{Πρόταση 1}, +{Πρόταση 2}, +{Πρόταση 3}} +\end{alterqcm} +\greekalph +\end{verbatim} +\end{minipage} +\begin{minipage}{0.6\textwidth} +\includegraphics[scale=]{sep.pdf} +\end{minipage} + +\subsection{Η παράμετρος \texttt{symb}} + +Με την παράμετρο \texttt{symb} καθορίζουμε τη μορφή των τετραγώνων, που σημειώνονται οι απαντήσεις στα ερωτήματα. Οι τιμές που μπορεί να πάρει είναι \verb|\altersquare|, \verb|\dingsquare|, \verb|\dingchecksquare|. + +Για παράδειγμα, γράφουμε τον κώδικα: +\begin{verbatim} +\begin{alterqcm} +[VF,lq=125mm,pre=true, symb=\dingsquare] +\AQquestion{Οι ανισώσεις $2-\dfrac{x}{2}\leq + x+\dfrac{1}{2}$ και $5x-5\geq 0$ έχουν + ίδιες λύσεις.} +\AQquestion{Ο αριθμός -2 είναι λύση της + ανίσωσης $-2x+3<-5$.} +\AQquestion{Η ανίσωση $5x>-2$ είναι αδύνατη.} +\end{alterqcm} +\end{verbatim} +και θα πάρουμε σε εκτυπώσιμο pdf: +\begin{center} +\includegraphics[scale=0.95]{dingsquare_croped.pdf} +\end{center} +\subsection{Οι παράμετροι \texttt{num} και \texttt{numstyle}} + +\subsubsection*{Η παράμετρος \texttt{num}} +Η παράμετρος \texttt{num} όταν παίρνει την τιμή \texttt{false}, δηλαδή \texttt{num=false} δεν εμφανίζει την αρίθμηση των ερωτήσεων. Αν \texttt{num=true}, τότε εμφανίζει την αρίθμηση. Για παράδειγμα: +\begin{center} +\begin{minipage}{0.4\textwidth} +\begin{verbatim} +\nogreekalph +\begin{alterqcm} +[lq=3cm,num=false] +\AQquestion{Ερώτηση A} +{{Πρόταση 1}, +{Πρόταση 2}, +{Πρόταση 3}} +\AQquestion{Ερώτηση Β} +{{Πρόταση 1}, +{Πρόταση 2}, +{Πρόταση 3}} +\end{alterqcm} +\greekalph +\end{verbatim} +\end{minipage} +\begin{minipage}{0.5\textwidth} +\includegraphics[scale=0.95]{num_false_a.pdf} +\end{minipage} +\end{center} + +\subsection{Η παράμετρος \texttt{numstyle}} + +Αν η παράμετρος \texttt{numstyle} πάρει την τιμή \verb|\alph|, δηλαδή \verb|numstyle=\alph|, τότε τροποποιείται το στυλ αρίθμησης των ερωτήσεων και παίρνει τη μορφή (a., b., c.,...). Για παράδειγμα: +\begin{center} +\begin{minipage}{0.4\textwidth} +\begin{verbatim} +\begin{alterqcm} +[lq=3cm,numstyle=\alph] +\AQquestion{Ερώτηση A} +{{Πρόταση 1}, +{Πρόταση 2}, +{Πρόταση 3}} +\AQquestion{Ερώτηση Β} +{{Πρόταση 1}, +{Πρόταση 2}, +{Πρόταση 3}} +\end{alterqcm} +\end{verbatim} +\end{minipage} +\begin{minipage}{0.5\textwidth} +\includegraphics[scale=0.95]{numstyle_croped.pdf} +\end{minipage} +\end{center} + +\subsection{Η παράμετροι \texttt{titre, tone, ttwo} } + +\subsubsection*{Η παράμετρος \texttt{titre} } +Η παράμετρος \texttt{titre} αν πάρει την τιμή \texttt{false}, δηλαδή \texttt{titre=false}, τότε δεν εμφανίζονται οι τίτλοι των στηλών. Για παράδειγμα: +\begin{center} + \begin{minipage}{0.4\textwidth} + \begin{verbatim} +\begin{alterqcm} +[lq=6cm,title=false] +\AQquestion{Ερώτηση A} +{{Πρόταση 1}, +{Πρόταση 2}, +{Πρόταση 3}} +\AQquestion{Ερώτηση Β} +{{Πρόταση 1}, +{Πρόταση 2}, +{Πρόταση 3}} +\end{alterqcm} +\end{verbatim} + \end{minipage} + \begin{minipage}{0.5\textwidth} + \includegraphics[scale=0.95]{title_a_croped.pdf} + \end{minipage} +\end{center} + +\subsubsection*{Οι παράμετροι \texttt{tone, ttwo} } + +Με τις παραμέτρους \texttt{tone} και \texttt{ttwo} ορίζουμε τους τίτλους της πρώτης στήλης \texttt{t(itle)one} και της δεύτερης \texttt{t(itle)two}. Συντάσσονται ως: <<\texttt{tone= τίτλος 1ης στήλης}>> και αντίστοιχα <<\texttt{ttwo= Τίτλος 2ης στήλης}>>. Για παράδειγμα αν γράψουμε: +\begin{verbatim} +\begin{alterqcm}[lq=6cm,tone= Ερωτήσεις πολλαπλής επιλογής,ttwo= Απαντήσεις] +\AQquestion{Ερώτηση A}{{Πρόταση 1},{Πρόταση 2},{Πρόταση 3}} +\AQquestion{Ερώτηση Β}{{Πρόταση 1},{Πρόταση 2},{Πρόταση 3}} +\end{alterqcm} +\end{verbatim} +θα πάρουμε +\begin{center} +\includegraphics[scale=]{title_b_croped.pdf} +\end{center} + +\subsection{Παράμετροι \texttt{nosquare, propstyle, alea}} +\subsubsection{Η παράμετρος \texttt{nosquare}} +Η παράμετρος \texttt{nosquare}, αν πάρει την τιμή \texttt{true} αφαιρεί τα τετράγωνα μπροστά από τις προτάσεις, που επιλέγονται. Για παράδειγμα: +\begin{center} + \begin{minipage}{0.4\textwidth} + \begin{verbatim} +\begin{alterqcm} +[lq=3cm,nosquare=true] +\AQquestion{Ερώτηση A} +{{Πρόταση 1}, +{Πρόταση 2}, +{Πρόταση 3}} +\AQquestion{Ερώτηση Β} +{{Πρόταση 1}, +{Πρόταση 2}, +{Πρόταση 3}} +\end{alterqcm} +\end{verbatim} +\end{minipage} +\begin{minipage}{0.5\textwidth} +\includegraphics[scale=0.95]{nosquare_croped.pdf} +\end{minipage} +\end{center} + +\subsubsection{Η παράμετρος \texttt{propstyle}} +Η παράμετρος \texttt{propstyle} ρυθμίζει τον τρόπο αρίθμησης των απαντήσεων. Εξ ορισμού παίρνει την τιμή\linebreak \verb|propstyle=\alph|. Αν θέσουμε \verb|propstyle=\Roman|, θα έχουμε ρωμαϊκή αρίθμηση. +\begin{center} +\begin{minipage}{0.4\textwidth} +\begin{verbatim} +\begin{alterqcm} +[lq=3cm,numprop=true, +propstyle=\Roman] +% ή propstyle=\alph για a,b,c +\AQquestion{Ερώτηση A} +{{Πρόταση 1}, +{Πρόταση 2}, +{Πρόταση 3}} +\AQquestion{Ερώτηση Β} +{{Πρόταση 1}, +{Πρόταση 2}, +{Πρόταση 3}} +\end{alterqcm} +\end{verbatim} +\end{minipage} +\begin{minipage}{0.5\textwidth} +\includegraphics[scale=0.95]{propstyle_croped.pdf} +\end{minipage} +\end{center} + +\subsubsection{Η παράμετρος \texttt{alea}} + +Η παράμετρος \texttt{alea} δημιουργεί μια τυχαία σειρά των προτάσεων της απάντησης. Κάθε φορά που εξάγουμε το εκτυπώσιμο pdf, έχουμε τις απαντήσεις σε διαφορετική σειρά. Για παράδειγμα: + +\begin{minipage}{0.4\textwidth} + \begin{verbatim} +\begin{alterqcm} +[lq=6cm,alea] +\AQquestion[pq=1mm] +{Αν μια συνάρτηση $f$ +είναι γνησίως φθίνουσα +στο $\mathbb{R}$, τότε + η εξίσωση $f(x)=0$ δέχεται:} +{{Τουλάχιστον μια ρίζα στο + $\mathbb{R}$}, +{Ακριβώς μια ρίζα στο $\mathbb{R}$}, +{Το πολύ μια ρίζα στο $\mathbb{R}$}} +\end{alterqcm} +\end{verbatim} +\end{minipage} +\begin{minipage}{0.5\textwidth} +\includegraphics[scale=0.7]{random_croped.pdf} +\end{minipage} + + +\subsection{Η παράμετρος \texttt{long}} +Η παράμετρος \texttt{long} ενεργοποιεί το περιβάλλον \texttt{longtable} και μπορούμε να κατασκευάσουμε έναν πίνακα, που υπερβαίνει τη μια σελίδα. Για παράδειγμα αν τυπώσουμε: +\begin{verbatim} +\begin{alterqcm}[VF,lq=12cm,pre,long] +\AQquestion{Το σύνολο τιμών μιας συνάρτησης $f$ είναι το σύνολο των τεταγμένων των σημείων + της γραφ. παράστασης.} +...................................... +........................................ +\AQquestion{Αν $f:\mathbb{R}\to\mathbb{R}$ και $f(x^3)=x^6+x^3+1$ τότε $f(x)=x^2+x+1$} +\end{alterqcm} +\greekalph +\end{verbatim} + +\noindent\includegraphics[scale=0.7]{long.pdf} + +\subsection{Οι παράμετροι \texttt{br} και \texttt{correction}} +Μπορούμε να δημιουργήσουμε ένα φύλλο απαντήσεων, που θα διευκολύνει τη διόρθωση των ερωτήσεων του διαγωνίσματος. Για παράδειγμα αν γράψουμε: + +\vspace{10pt} +\begin{verbatim} +\begin{alterqcm}[VF,lq=8cm,correction,symb=\dingsquare,corsymb=\dingchecksquare] +\AQquestion[br=2]{Ισχύει ότι $(α+β)^2=α^2+β^2$} +\AQquestion[br=1]{Αν $α\cdot β\geq 0$, τότε $\sqrt{α\cdot β}=\sqrt{α}\cdot\sqrt{β}$} +\AQquestion[br=2]{Είναι $|α|=α,\,\text{για κάθε}\, x\in\mathbb{R}$} +\end{alterqcm} + +\vspace{10pt} +\begin{alterqcm}[lq=5cm,correction,symb=\dingsquare,corsymb=\dingchecksquare] +\AQquestion[br=3]{Αν μια συνάρτηση $f$ είναι γνησίως φθίνουσα στο $\mathbb{R}$, τότε + η εξίσωση $f(x)=0$ δέχεται:} +{{Ακριβώς μια ρίζα στο $\mathbb{R}$}, +{Τουλάχιστον μια ρίζα στο $\mathbb{R}$ }, +{Το πολύ μια ρίζα στο $\mathbb{R}$}} +\end{alterqcm} +\end{verbatim} + +θα πάρουμε +\begin{center} +\includegraphics[scale=]{correction_croped.pdf} +\end{center} + +\subsubsection*{Η παράμετρος \texttt{br}} + +Η παράμετρος \texttt{br} παίρνει καθορίζει ποιες από τις απαντήσεις είναι οι σωστές επιλογές. Έτσι, όταν γράφουμε \verb|br=2| εννοούμε ότι η απάντηση 2 είναι σωστή. Αν έχουμε περισσότερες από μια σωστές απαντήσεις τότε γράφουμε \verb|br={1,3}| που σημαίνει ότι οι απαντήσεις 1 και 3 είναι σωστές. Για παράδειγμα +\begin{center} +\begin{minipage}{0.4\textwidth} +\begin{verbatim} +\begin{alterqcm} +[lq=2cm,correction] +\AQquestion[br={1,3}] +{Ερώτηση} +{{Απάντηση 1}, +{Απάντηση 2 }, +{Απάντηση 3}} +\end{alterqcm} +\end{verbatim} +\end{minipage} +\begin{minipage}{0.5\textwidth} +\includegraphics[scale=]{correction_a_croped.pdf} +\end{minipage} +\end{center} + +\subsection{Η παράμετρος \texttt{transparent}} + +Η παράμετρος \texttt{transparent} επιτρέπει να τυπωθεί το τεστ, χωρίς τις ερωτήσεις και τις προτάσεις, αλλά να εμφανίζονται μόνο οι σωστές απαντήσεις. Για παράδειγμα: + +Πληκτρολογώντας τον κώδικα: + +\begin{verbatim} +\begin{alterqcm}[transparent,pq=-3mm,correction,lq=8cm] +\AQquestion[br=3,pq=3mm] +{Ποιες από τις διπλανές προτάσεις δείχνουν ότι η +εκθετική συνάρτηση δέχεται ως ασύμπτωτη την ευθεία + $y = 0$ ?} +{{$\displaystyle\lim_{x \to +\infty}\dfrac{\text{e}^x}{x} = + \infty$}, +{$\displaystyle\lim_{x \to +\infty}\text{e}^x = + \infty$}, +{$\displaystyle\lim_{x \to -\infty}\text{e}^x = 0$}} +\AQquestion[br=2]{$e^{\ln x} = x$ για κάθε $x$ που ανήκει στο } +{{$\mathbf{R}$},{$\big(0,\,+\infty\big)$},{$\big[0,\,+\infty\big)$}} +\AQquestion[br=3]{Αν μια συνάρτηση $f$ είναι γνησίως φθίνουσα στο +$\mathbb{R}$, τότε η εξίσωση $f(x)=0$ δέχεται:} +{{Ακριβώς μια ρίζα στο $\mathbb{R}$}, {Τουλάχιστον μια ρίζα στο $\mathbb{R}$ }, +{Το πολύ μια ρίζα στο $\mathbb{R}$}} +\end{alterqcm} +\end{verbatim} +θα πάρουμε: +\begin{center} +\includegraphics[scale=0.95]{transparent_croped.pdf} +\end{center} + +\subsection{Η εντολή \PP AQpoints} +Με την εντολή αυτή μπορεί να γραφούν δίπλα από την άσκηση τα αντίστοιχα μόρια. Για παράδειγμα, αν γράψουμε: +\begin{verbatim} + +\AQpoints{10} +\begin{alterqcm}[symb = \dingsquare, lq=7cm] +\AQquestion{Αν $3{,}24$ είναι η στρογγυλοποίηση του $x$ σε εκατοστά, είμαστε σίγουροι ότι:} +{{\begin{minipage}[t]{\linewidth-1cm}$3{,}235\leqslant x <3{,}245$\\ +\end{minipage}} , +{\begin{minipage}[t]{\linewidth-1cm} $3{,}24\leqslant x <3{,}25$\\ +\end{minipage}} , +{\begin{minipage}[t]{\linewidth-1cm} +Το $x$ είναι πιο κοντά στο $3{,}24$ από ό,τι στο $3{,}25$ +\end{minipage}}} +\end{alterqcm} + +\end{verbatim} +τότε θα πάρουμε: + +\vspace{10pt} +\noindent\includegraphics[scale=0.9]{example_10_croped.pdf} + + +\section{Πιο σύνθετες περιπτώσεις} + +\subsection{Η μακροεντολή \PP{AQmessage}} +Η εντολή \verb|\AQmessage}| μας επιτρέπει να εισάγουμε, σε έναν πίνακα δύο στηλών, την εκφώνηση ή ένα σχόλιο ή μια διευκρίνηση, η οποία δίνει πιο πολλές πληροφορίες στο μαθητή, για καλύτερη κατανόηση της ερώτησης. Ας δούμε μια εφαρμογή της δανεισμένη από την τεκμηρίωση του πακέτου. Γράφουμε τον κώδικα: +\begin{verbatim} +\begin{alterqcm}[lq=8cm] +\AQmessage{ Έστω μια συνάρτηση $f$ ορισμένη και παραγωγίσιμη στο διάστημα +$(-5,\,+\infty)$, της οποίας ο πίνακας μεταβολών δίνεται παρακάτω: +\begin{center} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=2]{$x$/1,$f(x)$/3} {$-5$,$-1$,$0$,$2$,$+\infty$} +\tkzTabVar{-/$-\infty$ ,+/$-3$,-/$-5$,+/$4$,-/${4,5}$}% +\end{tikzpicture} +\end{center} +Αν $C_f$ είναι η γραφική παράσταση της $f$.} +\AQquestion{Η εξίσωση $f(x) = -2$ δέχεται στο διάστημα $(-5,\,+\infty)$} +{{μια μόνο λύση}, {δύο λύσεις}, {τέσσερις λύσεις}} +\end{alterqcm} +\end{verbatim} +και θα πάρουμε +\begin{center} +\includegraphics[scale=]{test2.pdf} +\end{center} + + + +\subsubsection{Περιβάλλον \texttt{array}} + +Ο πίνακας των ερωτήσεων-απαντήσεων δέχεται και μαθηματικές εκφράσεις με περιβάλλον \texttt{array}. Ας δούμε το επόμενο παράδειγμα:\\ +\begin{minipage}{0.4\linewidth} +\begin{verbatim} +\begin{alterqcm}[lq=5cm,symb=$\Box$] +\AQquestion{Το $(x,\,y)=(1,\,-1)$ +είναι λύση του συστήματος: } +{{$ \left\lbrace +\begin{array}{ll} +2x + 3y &= 5 \\ +x + y &=0 +\end{array}\right.$}, +{$ \left\{ +\begin{array}{ll} +x + 4y &=-3 \\ +2x + 3y &=-1 +\end{array}\right.$}, +{$ \left\lbrace +\begin{array}{ll} +\dfrac{x}{2}+\dfrac{y}{2} &=1\\ +x - 2y &=3 +\end{array}\right.$} +} +\end{alterqcm} +\end{verbatim} +\end{minipage} +\begin{minipage}{0.6\linewidth} +\includegraphics[scale=0.7]{array.pdf} +\end{minipage} + +\subsection{Ερωτήσεις πολλαπλής επιλογής με εικόνες} +Το πακέτο μας δίνει τη δυνατότητα να τοποθετήσουμε ως προτάσεις επιλογής, εικόνες. Για παράδειγμα με τον παρακάτω κώδικα και τις αντίστοιχες εικόνες κατασκευάζουμε το επόμενο τεστ. + +\begin{minipage}{0.4\linewidth} + \begin{verbatim} + \begin{alterqcm}[lq=6cm,sep] + \AQquestion[pq=2 cm]{Ποιον από + τους τρεις πίνακες ζωγράφισε ο + \textbf{Paul Gaugin}\vfill}% + {{\hfil\includegraphics[scale=0.10] + {paint_4.jpg}\hfil}, + {\hfil\includegraphics[scale=0.10] + {paint_1.jpg}\hfil}, + {\hfil\includegraphics[scale=0.10] + {paint_3.jpg}\hfil}} + \AQquestion[pq=0.5cm]{Ποιος από + τους τρεις ζωγράφισε τον πίνακα;\\ + \hfil\includegraphics[height=2.5in] + {paint_2.jpg}\hfil}% + {{Van Gogh},{Pierre Renoir}, + {Paul C\'ezanne}} + \end{alterqcm} + \end{verbatim} +\end{minipage} +\begin{minipage}{0.6\linewidth} + \includegraphics[scale=0.7]{paint.pdf} +\end{minipage} + +\subsubsection{Test με ερωτήσεις Γεωμετρίας} +Ο πίνακας των ερωτήσεων - απαντήσεων δέχεται και γεωμετρικά σχήματα, είτε ως εικόνες με το geogebra ή άλλο πρόγραμμα, όπως δείξαμε παραπάνω είτε με απευθείας εισαγωγή με χρήση του πακέτου \textsf{tikz}. Ένα κλασσικό παράδειγμα βλέπουμε, τυπώνοντας τον παρακάτω κώδικα: +\begin{verbatim} +\begin{alterqcm}[lq=8cm,numprop=true,sep] +\AQquestion{Ανάμεσα στα διπλανά σχήματα ποιος είναι ο ρόμβος :} +{{\hspace{1cm} \begin{minipage}{5cm} \begin{tikzpicture} +\draw (0,0)--(1.5,0)--(2,1)--(.5,1)--cycle; +\end{tikzpicture} \end{minipage}}, +{\hspace{1cm} \begin{minipage}{5cm} \begin{tikzpicture} +\draw[rotate=30] (0,0) rectangle (1.5,1); \end{tikzpicture} \end{minipage}}, +{\hspace{1cm} \begin{minipage}{5cm} \begin{tikzpicture} +\draw (0,0) rectangle (1,1); \end{tikzpicture} \end{minipage} }} +\end{alterqcm} +\nogreekalph +\end{verbatim} +θα πάρουμε τον πίνακα 1 +\begin{table}[h] +\includegraphics[scale=]{geometry.pdf} +\caption{} +\end{table} + +\subsubsection{Πίνακας μεταβολών της $f$ και εξίσωση $f(x)=0$} +Γράφοντας τον κώδικα: +\begin{verbatim} +\begin{alterqcm}[lq=95mm,pre=false] +\AQmessage{ Έστω η συνάρτηση $f(x)=\sqrt{x(x-1)^2}$ ορισμένη στο διάστημα $[0,\,4]$ και +παραγωγίσιμη στο διάστημα $(0,\,1)\cup(1,4]$ της οποίας ο πίνακας μεταβολών δίνεται +παρακάτω: +\begin{center} +\begin{tikzpicture} +\tkzTabInit[lgt=3]% +{$x$/1,% +Πρόσημο\\ της $f^{\prime}(x)$ /1,% +Μεταβολές\\ της\\ $\sqrt {x(x-1)^2}$ /4}% +{$0$ , $\dfrac{1}{3}$ , $1$ , $4$}% +\tkzTabLine{d ,+, 0 ,-, d ,+, } +\tkzTabSlope{1//+\infty,3/-1 /+1} +\tkzTabVar{-/$0$,+/$\dfrac{2\sqrt3}{9}$,-/$0$,+/$6$} +\end{tikzpicture} +\end{center} +Αν $C_f$ είναι η γραφική παράσταση της $f$.} +\AQquestion{Η εξίσωση $f(x) =1$ δέχεται στο διάστημα $(0,\,4)$} +{{μια μόνο λύση}, +{δύο λύσεις}, +{τρεις λύσεις}, +{καμμία λύση}} +\end{alterqcm} +\end{verbatim} +θα πάρουμε +\begin{center} +\includegraphics[scale=]{variationtable.pdf} +\end{center} + +Για τις ασκήσεις με πίνακες μεταβολών καλό είναι να συμβουλευτείτε την ανάπτυξη του πακέτου στη διεύθυνση \texttt{https://tassosdimou.gr/variation-table} + +\subsubsection{Ερωτήσεις πολλαπλής επιλογής και Σ-Λ στη Λογοτεχνία} +Ας δούμε ένα παράδειγμα με ερωτήσεις πολλαπλής επιλογής και σωστού-λάθους από τη Λογοτεχνία. + +Γράφουμε τον κώδικα: +\begin{verbatim} +\begin{enumerate} +\item \begin{alterqcm}[lq=95mm,pre] +\AQquestion{Οι στίχοι: +\begin{verse} +<<Ο έρωτας\\ +Το καράβι του\\ +Κι η αμεριμνησία των μελτεμιών του\\ +Κι ο φλόκος της ελπίδας του\\ +Στον πιο ελαφρό κυματισμό του ένα νησί λικνίζει\\ +Τον ερχομό.>> +\end{verse} γράφηκαν από τον:} +{{Σεφέρη},{Ελύτη},{Ρίτσο}} +\end{alterqcm} +\item \begin{alterqcm}[VF,lq=95mm,pre, title=false] +\AQquestion{Ο Οδυσσέας Ελύτης έγραψε τη + <<Ρωμιοσύνη>>} +\AQquestion{ Ο Ηλίας Βενέζης έγραψε τη + <<Γαλήνη>>} +\AQquestion{Ο Νίκος Καζαντζάκης έγραψε το + <<Το αμάρτημα της μητρός μου>>} +\end{alterqcm} +\end{enumerate} +\end{verbatim} +και θα πάρουμε: +\begin{center} +\includegraphics[scale=0.8]{example_11_croped.pdf} +\end{center} + +\subsubsection{Το \texttt{alterqcm} και η Φυσική} +Παρακάτω βλέπουμε την εφαρμογή του περιβάλλοντος \texttt{alterqcm} σε ένα τεστ Σωστού-Λάθους Φυσικής: +Ο κώδικας για το παρακάτω τεστ είναι: +\begin{verbatim} +\begin{alterqcm}[VF,lq=100mm,pre,long] +\AQquestion{Η συνισταμένη δυο δυνάμεων που ασκούνται σε +ένα σώμα είναι μηδέν ότα οι δυνάμεις έχουν το ίδιο μέτρο και αντίθετη φορά.} +\AQquestion{ Η δύναμη είναι μονόμετρο μέγεθος και στο S.I έχει μονάδα το 1N.} +................................................. +\AQquestion{Η δράση είναι μικρότερη από την αντίδραση.} +\AQquestion{Ο τρίτος νόμος του Νεύτωνα ισχύει σε όλες +τις περιπτώσεις.} +\end{alterqcm} +\end{verbatim} +\begin{table}[!htp] +\includegraphics[scale=]{long1.pdf} +\caption{} +\end{table} + +Ας δούμε ένα τεστ με ερωτήσεις πολλαπλής επιλογής. Θα πληκτρολογήσουμε: +\begin{verbatim} +\begin{alterqcm}[pre,lq=7cm] +\AQquestion{Στο παρακάτω διάγραμμα ταχύτητας-χρόνου (u-t) +\begin{center} +\includegraphics[scale=0.7]{sxhma_1.png} +\end{center}} +{{Η κλίση της ευθείας ισούται με την αλγεβρική τιμή της επιτάχυνσης}, +{Το εμβαδόν ισούται αριθμητικά με τη μετατόπιση}, +{Η ευθεία δεν ξεκινά από την αρχή των αξόνων}} +........................................... +\AQquestion{Η καμπύλη του σχήματος αντιστοιχεί + σε κίνηση: +\begin{center}\includegraphics[scale=0.8]{sxhma_2.png} +\end{center}}{{ευθύγραμμη και ομαλή.},{ευθύγραμμη ομαλά +επιβραδυνόμενη.},{ ευθύγραμμη ομαλά +επιταχυνόμενη.},{ με σταθερή ταχύτητα.} +} +\end{alterqcm} +\end{verbatim} + και θα πάρουμε +\begin{center} +\includegraphics[scale=]{physics.pdf} +\end{center} + + + + + +\end{document}
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-def.tex b/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-def.tex new file mode 100644 index 0000000000..6f7848bb6c --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-def.tex @@ -0,0 +1,251 @@ +%!TEX root = /Users/ego/Boulot/Alterqcm/doc/doc_aq-main.tex +\section{Les outils : L' environnement \tkzname{alterqcm} et la macro \tkzcname{AQquestion}} +\subsection{L' environnement \tkzname{alterqcm}} + + +\bigskip +\begin{NewEnvBox}{alterqcm} + +\noindent Voici la liste des \tkzname{options} disponibles classées par catégories. + +\medskip +\begin{tabular}{@{}Il Il Il@{}} + \toprule + \thead +Options &Défaut & Définition \\ \midrule +\tbody +\multicolumn{2}{c}{\emph{\texttt{Dimensions}}} \\ \cmidrule(r){1-2} +\TOenvline{lq} {100mm} {largeur de la colonne question } +\TOenvline{pq} {0pt} {déplacement vertical de la question } \cmidrule(r){1-2} +\multicolumn{2}{c}{\emph{\texttt{Nombres}}} \\ \cmidrule(r){1-2} +\TOenvline{bonus} {{0,5}} {points attribués à une bonne réponse } +\TOenvline{malus} {{0,25}} {points attribués à une mauvaise réponse } +\TOenvline{numbreak} {0} {pour reprendre un tableau scindé } +\TOenvline{points} {empty}{ points attribués au qcm dans la marge} \cmidrule(r){1-2} +\multicolumn{2}{c}{\emph{\texttt{Macros}}} \\ \cmidrule(r){1-2} +\TOenvline{symb} {\$\BS square\$} {symbole devant la proposition } +\TOenvline{corsymb}{\$\BS blacksquare\$}{symbole devant la proposition } +\TOenvline{numstyle} {\BS arabic} {style de la numérotation des questions } +\TOenvline{propstyle} {\BS alph} {style de la numérotation des propositions } +\TOenvline{size} {\BS normalsize} {taille de la fonte } +\TOenvline{afterpreskip}{\BS medskip} {skip après la présentation } +\cmidrule(r){1-2} +\multicolumn{2}{c}{\emph{\texttt{Booléens}}} \\ \cmidrule(r){1-2} +\TOenvline{long} {true} {longtable à la place de tabular } +\TOenvline{sep} {true} {filet de séparation entre les propositions} +\TOenvline{pre} {false} {présentation du QCM } +\TOenvline{VF} {false} {QCM sous la forme Vrai ou Faux } +\TOenvline{numprop} {false} {numérotation des propositions } +\TOenvline{num} {true} {style de la numérotation des questions } +\TOenvline{nosquare} {false} {suppression du carré des propositions } +\TOenvline{title} {false} {suppression des titres } +\TOenvline{correction}{false} {permet de créer un corrigé } +\TOenvline{alea} {false} {placer des propositions aléatoirement } \cmidrule(r){1-2} +\multicolumn{2}{c}{\emph{\texttt{Textes}}} \\ \cmidrule(r){1-2} +\TOenvline{tone} {Questions} {titre colonne 1 } +\TOenvline{ttwo} {R\'eponses} {titre colonne 2 } +\TOenvline{language} {french} {french, english ou german } + \bottomrule +\end{tabular} + +\medskip + +\emph{Il suffit donc pour créer un \textcolor{red}{\texttt{QCM}} d'utiliser un environnement \textcolor{red}{\texttt{alterqcm}} ainsi que la macro \textcolor{red}{ \addbs{AQquestion}} définie dans la section suivante.} +\end{NewEnvBox} + +\newpage +\subsection{La commande \tkzcname{AQquestion}} +\Imacro{AQquestion} + +\begin{NewMacroBox}{AQquestion}{\oarg{local options}{\var{quest}}\{{\var{$\mathrm{prop}_1$}},\ldots,{\var{$\mathrm{prop}_n$}}\}} +Cette macro utilise deux arguments, le premier définit la question, le second est une liste qui définit les propositions. + +\medskip +\begin{tabular}{@{}Il Il Il@{}} \toprule \thead +arguments & défaut & définition \\ +\midrule +\tbody +\TAline{quest} {} {définition de la question} +\TAline{$\mathrm{prop}_i$} {} {i\ieme\ proposition} \bottomrule +\end{tabular} + +\medskip +Voici la liste des options liées à cette macro. + +\medskip +\begin{tabular}{@{}Il Il Il@{}} \toprule \thead +options & défaut & définition \\ \midrule +\tbody +\TOline{pq} {0pt} {ajustement de la position de la question} +\TOline{br} {1 } {liste de rangs des bonnes réponses } \bottomrule +\end{tabular} + +\medskip + +\end{NewMacroBox} + +\subsection{Utilisation : premier exemple} + +Il suffit d'utiliser un environnement \tkzname{alterqcm} et la macro \tkzcname{AQquestion}, voici un exemple : + + + \noindent +\begin{minipage}[c][][t]{.40\linewidth} +\begin{tkzexample}[code only,small] + \documentclass[12pt]{article} + \usepackage[utf8]{inputenc} + \usepackage[upright]{fourier} + %\usepackage[T1]{fontenc} + %\usepackage{lmodern} + \usepackage{alterqcm} + \usepackage{fullpage} + %\usepackage{longtable} + % nécessaire pour l'option "long" + \usepackage[frenchb]{babel} + \parindent0pt + \begin{document} + \begin{alterqcm} + \AQquestion{Question}{% + {Proposition 1}, + {Proposition 2}, + {Proposition 3}} + \end{alterqcm} + \end{document}\end{tkzexample} +\end{minipage}\hfill \noindent +\begin{minipage}[c][][b]{.50\linewidth} +\textbf{alterqcm.sty} crée un nouvel environnement \textbf{alterqcm} qui permet l'obtention d'un tableau à deux colonnes. La colonne de gauche pour les questions, l'autre pour les différentes propositions. Les propositions sont données dans une liste : + +\tkzname{\{\{Proposition 1\},\\\{Proposition 2\},\\\{Proposition 3\}\}}. + + Le nombre de propositions est compris entre \tkzname{2} et \tkzname{5}. +\end{minipage} + +\medskip +Ce qui donne comme résultat : + +\bigskip + \begin{alterqcm} + \AQquestion{Question} + {% + {Proposition 1}, + {Proposition 2}, + {Proposition 3}% + } + \end{alterqcm} + +\medskip + La largeur totale du tableau est égale à \tkzcname{textwidth}. Par défaut la colonne question a pour largeur \tkzname{100mm} plus quelques millimètres ... introduits par le tableau. La largeur des réponses est égale à \tkzcname{textwidth} diminuée de la largeur de la première colonne. \Imacro{textwidth} + +Le point important est que la hauteur des lignes des propositions soit calculée automatiquement afin, d'une part, que le texte des propositions soit placé correctement sans toucher les filets et d'autre part, que le texte de la question correspondante puisse être inclus dans sa case. Un positionnement précis est obtenu avec l'option \tkzname{pq}. + +\subsection{Packages chargés par \tkzname{alterqcm.sty}} +La liste des packages chargés est la suivante : + +\begin{tkzexample}[code only] + \RequirePackage{xkeyval}[2005/11/25] + \RequirePackage{calc} + \RequirePackage{ifthen,forloop} + \RequirePackage{array} + \RequirePackage{multirow} + \RequirePackage{pifont} +\end{tkzexample} +\NamePack{xkeyval}\NamePack{calc}\NamePack{ifthen}\NamePack{forloop}\NamePack{array}\NamePack{multirow} +\NamePack{pifont} + +Il vous sera nécessaire de charger \tkzname{longtable.sty} si vous souhaitez utiliser l'option \tkzname{long} pour un de vos tableaux. Vous avez besoin aussi de la macro \tkzcname{square}, elle est soit définie dans le package \tkzname{fourier}, soit dans le package \tkzname{amsmath}.\NamePack{amsmath}\NamePack{fourier}. + + + \subsection{Utilisation de l'environnement \tkzname{minipage} pour modifier la largeur du tableau} +\Ienv{minipage} + +\begin{minipage}[c][][t]{.3\linewidth} +\begin{tkzltxexample}[small] + + \begin{center} + \begin{minipage}{9cm} + \begin{alterqcm}[lq=5cm] + ... + \end{alterqcm} + \end{minipage} + \end{center} +\end{tkzltxexample} +\end{minipage}\hfill +\begin{minipage}[c][][t]{.6\linewidth} +\begin{alterqcm}[lq=5cm] +\AQquestion{Parmi les propositions suivantes, quelle est celle qui permet% + d'affirmer que la fonction exponentielle admet pour asymptote la droite% + d'équation $y = 0$ ?} +{% +{$\displaystyle\lim_{x \to +\infty} \text{e}^x = + \infty$},% +{$\displaystyle\lim_{x \to -\infty} \text{e}^x = 0$},% +{$\displaystyle\lim_{x \to +\infty} \dfrac{\text{e}^x}{x} = + \infty$}% +} + +\AQquestion[]{exp$(\ln x) = x$ pour tout $x$ appartenant à } +{% +{$\mathbf{R}$},% +{$\big]0~;~+ \infty\big[$},% +{$\big[0~;~+\infty\big[$}% +}\end{alterqcm} +\end{minipage} +% + + +\subsection{Modification temporaire de \tkzcname{textwidth}} +\Imacro{textwidth} + Il est possible d'utiliser des tableaux ainsi que d'autres structures dans le code de la question ou encore des propositions. Voici un exemple : +\newlength{\oldtextwidth} + +\begin{tkzltxexample}[small] + \newlength{\oldtextwidth} +\end{tkzltxexample} + +\medskip + \setlength{\oldtextwidth}{\textwidth} + \setlength{\textwidth}{14cm} +\begin{alterqcm}[lq=88mm,symb=$\Box$] + \AQquestion{la matrice% + \( M=\begin{pmatrix} + 0 & 1 \\ + 1 & 1 \\ +\end{pmatrix} \) a pour carré}% +{% +{\(\begin{pmatrix} + 0 & 1 \\ + 1 & 4 \\ +\end{pmatrix}\)},% +{\(\begin{pmatrix} + 1 & 2 \\ + 2 & 5 \\ + \end{pmatrix}\)} +} +\end{alterqcm} +\setlength{\textwidth}{\oldtextwidth} + +\medskip +\begin{tkzltxexample}[small] + \setlength{\oldtextwidth}{\textwidth} + \setlength{\textwidth}{14cm} + \begin{alterqcm}[lq=88mm,symb=$\Box$] + \AQquestion{la matrice% + \( M=\begin{pmatrix} + 0 & 1 \\ + 1 & 1 \\ + \end{pmatrix} \) a pour carré}% + {% + {\(\begin{pmatrix} + 0 & 1 \\ + 1 & 4 \\ + \end{pmatrix}\)},% + {\(\begin{pmatrix} + 1 & 2 \\ + 2 & 5 \\ + \end{pmatrix}\)} + } + \end{alterqcm} + \setlength{\textwidth}{\oldtextwidth} +\end{tkzltxexample} + + + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-excomp.tex b/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-excomp.tex new file mode 100644 index 0000000000..3509d19dab --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-excomp.tex @@ -0,0 +1,270 @@ +%!TEX root = /Users/ego/Boulot/Alterqcm/doc/doc_aq-main.tex + +\section{Exemples complémentaires} +\subsection{Les symbolistes : usage de la macro \tkzcname{includegraphics}} +\Imacro{includegraphics} + +\begin{alterqcm}[lq=8cm,numprop=true,sep] +\AQquestion[pq=2 cm]{Parmi les trois tableaux ci-contre, quel est celui peint par \textbf{Gustave Moreau}\vfill}% +{{% +\hfil\includegraphics[scale=.20]{The_Wounded_Angel_-_Hugo_Simberg.jpg}\hfil +},{% +\hfil\includegraphics[scale=.4]{180px-Gustave_Moreau_007.jpg}\hfil +},{% +\hfil\includegraphics[scale=.4]{240px-Mort_du_fossoyeur.jpg}\hfil}}% + \AQquestion[pq=1 cm]{Le tableau suivant a été peint par lequel de ces trois peintres ?\\ +\hfil\includegraphics[height=3in]{240px-Mort_du_fossoyeur.jpg}\hfil}% +{{Gustav Klimt},{Carlos Schwabe},{Odilon Redon}} +\end{alterqcm} + +\begin{tkzltxexample}[small] + \begin{alterqcm}[lq=8cm,numprop=true,sep] + \AQquestion[pq=2 cm]{Parmi les trois tableaux, quel est celui peint par \textbf{Gustave Moreau}\vfill}% + {{% + \hfil\includegraphics[scale=.25]{The_Wounded_Angel_-_Hugo_Simberg.jpg}\hfil + },{% + \hfil\includegraphics[scale=.5]{180px-Gustave_Moreau_007.jpg}\hfil + },{% + \hfil\includegraphics[scale=.4]{240px-Mort_du_fossoyeur.jpg}\hfil}} + \AQquestion[pq=1 cm]{Le tableaux suivant, a été peint par lequel de ces trois peintres ?\\ + \hfil\includegraphics[height=3in]{240px-Mort_du_fossoyeur.jpg}\hfil}% + {{Gustav Klimt},{Carlos Schwabe},{Odilon Redon}} + \end{alterqcm} +\end{tkzltxexample} + +\subsection{Emploi d'un environnement \tkzname{tikzpicture} dans une question} +\Ienv{tikzpicture} + +\medskip + +\begin{alterqcm}[lq=120mm,pre=true,pq=3mm] + \AQmessage{\begin{minipage}{15cm} +\vspace*{6pt} +Les trois arbres donnés ci-dessous représentent des situations probabilistes. % + Les nombres indiqués sur les différentes flèches sont des probabilités, et,% + en deuxième niveau, des probabilités conditionnelles. Ainsi pour l'arbre donné % + dans la question 1 : $0,35 = P(A)$ et $0,1 = P_{\text{A}}(E)$. +\vspace*{6pt} +\end{minipage} +} +\AQquestion{La probabilité de l'événement E est égale à : \\ +\begin{tikzpicture}[yscale=1.2] +[parent anchor=east,child anchor=west,grow=east] +\tikzstyle{every node}=[text=Maroon,fill=fondpaille,font=\small] +\tikzstyle{every child}=[level distance=25mm] +\tikzstyle{edge from parent}=[draw,->,thin] +\tikzstyle{level 2}=[sibling distance=12mm] +\node {} +[grow=right] +child {node {B} + child { node {F} + edge from parent node {$0,5$}} + child { node {E} + edge from parent node {$0,5$} + } + edge from parent node {$0,65$} + } +child {node {A} + child { node {F} + edge from parentnode {$0,9$}} + child { node {E} + edge from parent node {$0,1$}} + edge from parent node {$0,35$} + }; +\end{tikzpicture}} +{{$0,5$},% +{$0,1$},% +{$0,6$},% +{$0,36$}} +\end{alterqcm} + +\begin{tkzltxexample}[small] + \begin{alterqcm}[lq=120mm,pre=true,pq=3mm] + \AQmessage{Les trois arbres donnés ci-dessous représentent des situations probabilistes. + Les nombres indiqués sur les différentes flèches sont des probabilités, et, + en deuxième niveau, des probabilités conditionnelles. Ainsi pour l'arbre donné + dans la question 1 : $0,35 = P(A)$ et $0,1 = P_{\text{A}}(E)$.} + \AQquestion{La probabilité de l'événement E est égale à : \\ + \begin{tikzpicture} + ... + \end{tikzpicture}} + {{$0,5$},% + {$0,1$},% + {$0,6$},% + {$0,36$}} + \end{alterqcm} +\end{tkzltxexample} + +\subsection{Emploi d'un environnement \tkzname{array} dans les propositions} +\Ienv{array} + +Il est possible d'utiliser des tableaux ainsi que d'autres structures dans le code de la question ou encore des propositions. Voici un exemple : + +\medskip + + +\begin{tkzexample}[vbox] +\begin{alterqcm}[lq=88mm,symb=$\Box$] +\AQquestion{Le couple $(1~;~-1)$ est solution de } +{% +{$ \left\lbrace +\begin{array}{ll} + 0,75a + 0,5b &= 0,25 \\ + 0,25a + 0,5b &=-0,25 +\end{array}\right.$}, +{$ \left\{ +\begin{array}{ll} + a &= 0,75a +0,5b \\ + b &= 0,25a +0,5b +\end{array}\right.$}, +{$ \left\lbrace +\begin{array}{ll} + 0,75a - 0,5b &= 0,25 \\ + 0,5a + 0,25b &=-0,25 +\end{array}\right.$} +} +\end{alterqcm}\end{tkzexample} + +\subsection{Emploi d'un environnement \tkzname{tikzpicture} dans une question} +\Ienv{tikzpicture} + +\begin{tkzexample}[vbox] +\begin{alterqcm}[lq=8cm,numprop=true,sep] +\AQquestion{Parmi les figures ci-contre, indiquer celle qui est un losange :} +{{\hspace{1cm} \begin{minipage}{5cm} \begin{tikzpicture} + \draw (0,0)--(1.5,0)--(2,1)--(.5,1)--cycle; +\end{tikzpicture} \end{minipage}}, +{\hspace{1cm} \begin{minipage}{5cm} \begin{tikzpicture} + \draw[rotate=30] (0,0) rectangle (1.5,1); \end{tikzpicture} \end{minipage}}, +{\hspace{1cm} \begin{minipage}{5cm} \begin{tikzpicture} + \draw (0,0) rectangle (1,1); \end{tikzpicture} \end{minipage} }} +\end{alterqcm} +\end{tkzexample} + +\subsection{Emploi de code \tkzname{verbatim} dans les questions et les propositions} +\Ienv{verbatim} + +Voici un exemple de Pascal Bertolino. Il est préférable d'utiliser comme Pascal l'a fait la macro \tkzcname{texttt}, autrement d'éviter l'usage du mode +|verbatim|. Nous verrons à la page suivante comment procéder si ce mode est réellement nécessaire. + +\begin{alterqcm}[lq=80mm,title=false,long] + +%-------------------------------------------------------------- +\AQquestion{Quel était le langage précurseur du langage C ?} +{{le Fortran}, + {le langage B}, + {le Basic}} + +%-------------------------------------------------------------- +\verbdef\argprop|int a = 3 ^ 4 ;| +\AQquestion{\argprop} +{{élève 3 à la puissance 4}, + {fait un OU exclusif entre 3 et 4}, + {n'est pas une instruction C}} + +%-------------------------------------------------------------- +\AQquestion{Quelle est la bonne syntaxe pour décaler de 8 bits à gauche l'entier \texttt{a} ?} +{{\texttt{b = lshift(a, 8) ;}}, + {\texttt{b = 8 << a ;}}, + {\texttt{b = a << 8 ;}}} +%-------------------------------------------------------------- +\verbdef\argprop|{ printf ("bonjour") ; return 0 ; \}| +\AQquestion{Le programme complet : \\ +\texttt{int main() \\ +~~\argprop}} +{{affiche \texttt{bonjour}}, + {donne une erreur à la compilation}, + {donne une erreur à l'exécution}} +%-------------------------------------------------------------- +\verbdef\arg|float tab[10]| +\verbdef\propa|*tab|\global\let\propa\propa +\verbdef\propb|&tab|\global\let\propb\propb +\verbdef\propc|tab|\global\let\propc\propc +\AQquestion{Soit la déclaration \arg ; \\Le premier réel du tableau est \ldots} +{{\propa}, + {\propb}, + {\propc}} + +%-------------------------------------------------------------- +\AQquestion{La ligne \texttt{printf("\%c", argv[2][0]) ;} du \texttt{main} de \texttt{monProg} exécuté ainsi : +\texttt{monProg parametre }} +{{affiche \texttt{p}}, + {n'affiche rien}, + {peut provoquer un plantage}} +%-------------------------------------------------------------- +\AQquestion{Quelle est la taille en mémoire d'un \texttt{long int} ?} +{{4 octets}, + {8 octets}, + {ça dépend \ldots}} +%-------------------------------------------------------------- +\AQquestion{Suite à la déclaration \texttt{int * i} ;} +{{\texttt{*i} est une adresse}, + {\texttt{*i} est un entier}, + {\texttt{*i} est un pointeur}} +%-------------------------------------------------------------- +\AQquestion{Un des choix suivants n'est pas une bibliothèque standard du C} +{{\texttt{stdlib}}, + {\texttt{stdin}}, + {\texttt{math}}} + +\end{alterqcm} + +\medskip +Voyons le code source + +le plus simple est souvent d'utiliser la commande \tkzcname{texttt} + +\medskip +\begin{tkzexample}[code only] + \AQquestion{Suite à la déclaration \texttt{int * i} ;} + {{\texttt{*i} est une adresse}, + {\texttt{*i} est un entier}, + {\texttt{*i} est un pointeur}} +\end{tkzexample} + +\medskip +\begin{tkzexample}[code only] +\AQquestion{La ligne \texttt{printf("\%c", argv[2][0]) ;} + du \texttt{main} de \texttt{monProg} exécuté ainsi : +\texttt{monProg parametre }} +{{affiche \texttt{p}}, + {n'affiche rien}, + {peut provoquer un plantage}} +\end{tkzexample} + +\medskip +Sinon on peut charger le package \tkzname{verbdef} : +\NamePack{verbdef} + +\medskip +\tkzcname{usepackage\{verbdef\}} + +\medskip +\begin{tkzexample}[code only] + \verbdef\argprop|int a = 3 ^ 4 ;| + \AQquestion{\argprop} + {{élève 3 à la puissance 4}, + {fait un OU exclusif entre 3 et 4}, + {n'est pas une instruction C}} +\end{tkzexample} + +\medskip +Il est possible que plusieurs variables soient nécessaires : + +\medskip + +\begin{tkzexample}[code only] + \verbdef\arg|float tab[10]| + \verbdef\propa|*tab|\global\let\propa\propa + \verbdef\propb|&tab|\global\let\propb\propb + \verbdef\propc|tab|\global\let\propc\propc + \AQquestion{Soit la déclaration \arg ; \\ + Le premier réel du tableau est \ldots} + {{\propa}, + {\propb}, + {\propc}} +\end{tkzexample} + + + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-globales.tex b/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-globales.tex new file mode 100644 index 0000000000..f528e6ab05 --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-globales.tex @@ -0,0 +1,726 @@ +%!TEX root = /Users/ego/Boulot/Alterqcm/doc/doc_aq-main.tex +\section{Options globales de l'environnement \tkzname{alterqcm}} + +\subsection{\tkzname{lq} : modification de la largeur de la première colonne } +\IoptEnv{alterqcm}{lq} + +\begin{alterqcm}[long,lq=110mm] +\AQquestion{Parmi les propositions suivantes, quelle est celle qui permet % + d'affirmer que la fonction exponentielle admet pour asymptote % + la droite d'équation $y = 0$ ?} +{{$\displaystyle\lim_{x \to +\infty} \text{e}^x = + \infty$}, +{$\displaystyle\lim_{x \to -\infty} \text{e}^x = 0$}, +{$\displaystyle\lim_{x \to +\infty} \dfrac{\text{e}^x}{x} = + \infty$}} + +\AQquestion{exp$(\ln x) = x$ pour tout $x$ appartenant à } +{{$\mathbb{R}$}, +{$\big]0~;~+ \infty\big[$}, +{$\big[0~;~+\infty\big[$} +} +\end{alterqcm} + +\medskip +Voyons le code nécessaire pour obtenir ce tableau. Il faut placer +\tkzcname{usepackage\{alterqcm\}} dans le préambule. Il faut remarquer que seule la largeur de la colonne des questions est fournie |lq=100mm| et que cela est optionnel. Le nombre des propositions est ici \textbf{3} mais il peut varier d'une question à l'autre. + +\begin{tkzexample}[code only,small] + \begin{alterqcm}[long,lq=110mm] + \AQquestion{Parmi les propositions suivantes, quelle est celle qui permet % + d'affirmer que la fonction exponentielle admet pour asymptote % + la droite d'équation $y = 0$ ?} + {{$\displaystyle\lim_{x \to +\infty} \text{e}^x = + \infty$}, + {$\displaystyle\lim_{x \to -\infty} \text{e}^x = 0$}, + {$\displaystyle\lim_{x \to +\infty} \dfrac{\text{e}^x}{x} = + \infty$}} + + \AQquestion[]{exp$(\ln x) = x$ pour tout $x$ appartenant à } + {{$\mathbb{R}$}, + {$\big]0~;~+ \infty\big[$}, + {$\big[0~;~+\infty\big[$} + } + \end{alterqcm}\end{tkzexample} + + + +\subsection{\tkzname{pq} : utilisation globale } + \IoptEnv{alterqcm}{pq} + +Cette fois, il est nécessaire de déplacer plusieurs questions, j'ai placé un |pq=2mm| globalement c'est à dire comme ceci :\tkzcname{begin\{alterqcm\}[lq=85mm,pq=2mm]}. \textbf{Toutes} les questions sont affectées par cette option mais certaines questions étaient bien placées et doivent le rester, aussi localement je leur redonne un |pq=0mm|. + +\medskip +\begin{alterqcm}[lq=85mm,pq=2mm] +\AQquestion{Soit une série statistique à deux variables. Les valeurs de $x$ sont 1, 2, 5, 7, 11, 13 et une équation de la droite de régression de $y$ en $x$ par la moindres carrés est $y = 1,35x +22,8$. Les coordonnées du point moyen sont :} +{{$(6,5;30,575)$}, +{$(32,575 ; 6,5)$}, +{$(6,5 ; 31,575)$}} + +\AQquestion{Pour tout réel $x$, le nombre \[\dfrac{\text{e}^x - 1}{\text{e}^x + 2}\hskip12pt \text{égal à :} \] } +{{$-\dfrac{1}{2}$}, +{$\dfrac{\text{e}^{-x} - 1}{\text{e}^{-x} + 2}$}, +{$\dfrac{1 - \text{e}^{-x}}{1 + 2\text{e}^{-x}}$} +} +\AQquestion{On pose I $= \displaystyle\int_{\ln 2}^{\ln 3} \dfrac{1}{\text{e}^x - 1}\,\text{d}x$ et J $ = \displaystyle\int_{\ln 2}^{\ln 3} \dfrac{\text{e}^x}{\text{e}^x - 1}\,\text{d}x$ \\ alors le nombre I $-$ J est égal à} +{{$\ln \dfrac{2}{3}$}, +{$\ln \dfrac{3}{2}$}, +{$\dfrac{3}{2}$} +} +\end{alterqcm} + +\begin{tkzexample}[code only,small] + \begin{alterqcm}[lq=85mm,pq=2mm] + \AQquestion{Pour tout réel $x$, le nombre \[\dfrac{\text{e}^x - 1} + {\text{e}^x + 2}\hskip12pt \text{égal à :} \] } + {{$-\dfrac{1}{2}$}, + {$\dfrac{\text{e}^{-x} - 1}{\text{e}^{-x} + 2}$}, + {$\dfrac{1 - \text{e}^{-x}}{1 + 2\text{e}^{-x}}$}} + \end{alterqcm} +\end{tkzexample} + + +\subsection{\tkzname{VF} : Vrai ou Faux} +\IoptEnv{alterqcm}{VF} +Les propositions ne sont que deux et le candidat doit choisir entre \textbf{Vrai} ou \textbf{Faux}. Cette fois, la syntaxe est allégée. Il n'est plus nécessaire d'écrire la liste des propositions et il suffit de positionner \tkzname{VF} en plaçant dans les options \tkzname{$VF$}. + + +\begin{minipage}[t][][b]{.45\linewidth} +Soit $f$ une fonction définie et dérivable sur l'intervalle $\big[-3~;~+\infty\big[$, croissante sur les intervalles $\big[-3~;~-1\big]$ et $\big[2~;~+\infty\big[$ et décroissante sur l'intervalle $\big[-1~;~2\big]$. + + On note $f'$ sa fonction dérivée sur l'intervalle $[-3~;~+\infty[$. + +La courbe $\Gamma$ représentative de la fonction $f$ est tracée ci-dessous dans un repère orthogonal $\big(O,~\vec{\imath},~\vec{\jmath}\big)$. + +Elle passe par le point A$(-3~;~0)$ et admet pour asymptote la droite $\Delta$ d'équation $y = 2x -5$. +\end{minipage} +\hfill +\begin{minipage}[t][][b]{.45\linewidth} +\null +\begin{tikzpicture}[scale=0.5,>=latex] + \draw[very thin,color=gray] (-3,-2) grid (10,8); + \draw[->] (-3,0) -- (10,0) node[above left] {\small $x$}; + \foreach \x in {-3,-2,-1,1,2,...,9} + \draw[shift={(\x,0)}] (0pt,1pt) -- (0pt,-1pt)node[below] { $\x$}; + \draw[->] (0,-2) -- (0,8) node[below right] {\small $y$}; + \foreach \y/\ytext in {-2,-1,1,2,...,7} + \draw[shift={(0,\y)}] (1pt,0pt) -- (-1pt,0pt) node[left] { $\y$}; + \draw (2,-1) -- (6,7); + \node[above right] at (-3,0) {\textbf{A}}; + \node[above right] at (0,0) {\textbf{O}}; + \node[below right] at (4,3) {$\mathbf{\Delta}$}; + \node[above right] at (4,5) {$\mathbf{\Gamma}$}; + \draw plot[smooth] coordinates{% + (-3,0)(-2,4.5)(-1,6.5)(0,5.5)(1,3.5)(2,3)(3,3.4)(4,4.5)(5,6)(6,7.75)}; +\end{tikzpicture} +\end{minipage} + + +\begin{alterqcm}[VF,lq=125mm] + \AQquestion{Pour tout $x \in ]-3~;~2],~f'(x) \geqslant 0$.} + \AQquestion{La fonction $F$ présente un maximum en $2$} + \AQquestion{$\displaystyle\int_{0}^2 f'(x)\,\text{d}x = - 2$} +\end{alterqcm} + +\begin{tkzexample}[code only, small] + \begin{minipage}[t][][b]{.45\linewidth} + Soit $f$ une fonction définie et dérivable sur l'intervalle $\big[-3~;~+\infty\big[$, + croissante sur les intervalles $\big[-3~;~-1\big]$ et $\big[2~;~+\infty\big[$ + et décroissante sur l'intervalle $\big[-1~;~2\big]$. + + On note $f'$ sa fonction dérivée sur l'intervalle $[-3~;~+\infty[$. + + La courbe $\Gamma$ représentative de la fonction $f$ est tracée ci-dessous + dans un repère orthogonal $\big(O,~\vec{\imath},~\vec{\jmath}\big)$. + + Elle passe par le point A$(-3~;~0)$ et admet pour asymptote la droite + $\Delta$ d'équation $y = 2x -5$. + \end{minipage} + \begin{minipage}[t][][b]{.45\linewidth} + \null +\begin{tikzpicture}[scale=0.5,>=latex] + \draw[very thin,color=gray] (-3,-2) grid (10,8); + \draw[->] (-3,0) -- (10,0) node[above left] {\small $x$}; + \foreach \x in {-3,-2,-1,1,2,...,9} + \draw[shift={(\x,0)}] (0pt,1pt) -- (0pt,-1pt)node[below] { $\x$}; + \draw[->] (0,-2) -- (0,8) node[below right] {\small $y$}; + \foreach \y/\ytext in {-2,-1,1,2,...,8} + \draw[shift={(0,\y)}] (1pt,0pt) -- (-1pt,0pt) node[left] { $\y$}; + \draw (-0.5,-2) -- (10,8); + \node[above right] at (-3,0) {\textbf{A}}; + \node[above right] at (0,0) {\textbf{O}}; + \node[below right] at (4,3) {$\mathbf{\Delta}$}; + \node[above right] at (4,5) {$\mathbf{\Gamma}$}; + \draw plot[smooth] coordinates{% + (-3,0)(-2,4.5)(-1,6.5)(0,5.5)(1,3.5)(2,3)(3,3.4)(4,4.5)(5,6)(6,7.75)}; + \end{tikzpicture} + \end{minipage} + \begin{alterqcm}[VF,lq=125mm] + \AQquestion{Pour tout $x \in ]-\infty~;~2],~f'(x) \geqslant 0$.} + \AQquestion{La fonction $F$ présente un maximum en $2$} + \AQquestion{$\displaystyle\int_{0}^2 f'(x)\:\text{d}x = - 2$} + \end{alterqcm} +\end{tkzexample} + +\subsection{\tkzname{symb} : modification du symbole } +\IoptEnv{alterqcm}{symb} + + Si vos fontes ne possèdent pas le symbole |$\square$| ou encore |$\blacksquare$| vous pouvez utiliser celui fourni par le package ou bien en créer un vous même. \tkzcname{altersquare}, \tkzcname{dingsquare} et \tkzcname{dingchecksquare} sont fournies par alterqcm. + Voici comment sont définies ces macros. + +\begin{tkzexample}[code only,small] + \newcommand*{\altersquare}{\vbox{\hrule\hbox to 6pt% + {\vrule height 5.2pt \hfil\vrule}\hrule}}\end{tkzexample} + +\medskip on obtient \altersquare\ ou bien encore : + +\begin{tkzexample}[code only,small] + \newcommand*{\dingsquare}{\ding{114}} \end{tkzexample} + +\medskip ce qui donne \dingsquare\ et enfin pour remplacer |$\blacksquare$| + +\begin{tkzexample}[code only,small] + \newcommand*{\dingchecksquare}{\mbox{\ding{114}% + \hspace{-.7em}\raisebox{.2ex}[1ex]{\ding{51}}}} \end{tkzexample} + +\medskip Soit \dingchecksquare\ comme résultat. + + +\begin{tkzexample}[code only,small] + + \begin{alterqcm}[lq=90mm,symb=\altersquare] + ... \end{alterqcm}\end{tkzexample} + +\medskip +Exemple complet : + +\medskip +\begin{tkzexample}[vbox] + \begin{alterqcm}[VF,lq=125mm,symb = \dingsquare] + \AQquestion{Pour tout $x \in ]-3~;~2],~f'(x) \geqslant 0$.} + \AQquestion{La fonction $F$ présente un maximum en $2$} + \AQquestion{$\displaystyle\int_{0}^2 f'(x)\:\text{d}x = - 2$} + \end{alterqcm}\end{tkzexample} + + +\subsection{\tkzname{pre, bonus, malus} : présentation automatique } +\IoptEnv{alterqcm}{pre}\IoptEnv{alterqcm}{bonus}\IoptEnv{alterqcm}{malus} +Comme vous pouvez le constatez ci-dessous, une présentation est donnée de l'exercice avec le barème. + +\bigskip +\begin{minipage}[c][][t]{.45\linewidth} +\begin{tkzexample}[code only,small] + \begin{alterqcm}[lq=6cm,pre=true,% + bonus=1,malus={0,5}] + \AQquestion{Question} + {{Proposition 1}, + {Proposition 2}} + \end{alterqcm}\end{tkzexample} +\end{minipage}\hfill +\begin{minipage}[c][][t]{.45\linewidth} + \begin{alterqcm}[lq=3cm,pre=true, + bonus=1,malus={0,5}] + \AQquestion{Question} + {{Proposition 1}, + {Proposition 2}} + \end{alterqcm} +\end{minipage} + +\vspace{1cm} + +\subsection{\tkzname{sep} : filet entre les propositions} +\IoptEnv{alterqcm}{sep} + +\tkzname{sep=true} fait apparaître un filet entre les propositions. + +\begin{minipage}[c][][t]{.45\linewidth} +\begin{tkzexample}[code only,small] + \begin{alterqcm}[lq=3cm,sep=true] + \AQquestion{Question} + etc.. +\end{alterqcm}\end{tkzexample} +\end{minipage}\hfill +\begin{minipage}[c][][t]{.45\linewidth} + \begin{alterqcm}[lq=3cm,sep=true] + \AQquestion{Question} + {{Proposition 1}, + {Proposition 2}} + \end{alterqcm} +\end{minipage} + +\subsection{\tkzname{num, numstyle} : suppression et style de la numérotation } +\IoptEnv{alterqcm}{num}\IoptEnv{alterqcm}{numstyle} +\subsubsection{\tkzname{num=false}} +\tkzname{num=false} fait disparaître la numérotation des questions. + +\begin{minipage}[c][][t]{.45\linewidth} +\begin{tkzexample}[code only, small] + \begin{alterqcm}[lq=3cm,num=false] + \AQquestion{Question} + etc... + \end{alterqcm} +\end{tkzexample} +\end{minipage}\hfill +\begin{minipage}[c][][t]{.45\linewidth} + \begin{alterqcm}[lq=3cm,num=false] + \AQquestion{Question} + {% + {Proposition 1}, + {Proposition 2}} + \end{alterqcm} +\end{minipage} + +\subsubsection{\tkzname{numstyle}} + +\tkzname{numstyle}=\tkzcname{alph} modifie le style de la numérotation des questions. Les styles habituels sont ici valides. + +\begin{minipage}[c][][t]{.45\linewidth} +\begin{tkzexample}[code only, small] + \begin{alterqcm}[lq=3cm,numstyle=\alph] + \AQquestion{Question} + etc... + \end{alterqcm} +\end{tkzexample} +\end{minipage} +\hfill +\begin{minipage}[c][][t]{.45\linewidth} + \begin{alterqcm}[lq=3cm,numstyle=\alph] + \AQquestion{Question} + {% + {Proposition 1}, + {Proposition 2}} + \end{alterqcm} +\end{minipage} + +\subsection{\tkzname{title, tone, ttwo} : suppression et modification de la ligne de titre } +\IoptEnv{alterqcm}{title}\IoptEnv{alterqcm}{tone}\IoptEnv{alterqcm}{ttwo} + +\tkzname{title=false} supprime les titres des colonnes. + +\begin{minipage}[c][][t]{.45\linewidth} +\begin{tkzexample}[code only,vbox] + \begin{alterqcm}% + [lq=3cm,title=false] + \AQquestion{Question} + etc... + \end{alterqcm}\end{tkzexample} +\end{minipage}\hfill +\begin{minipage}[c][][t]{.45\linewidth} + \begin{alterqcm}% + [lq=3cm,title=false] + \AQquestion{Question} + {% + {Proposition 1}, + {Proposition 2}% + } + \end{alterqcm} +\end{minipage} + + +\medskip +\tkzname{tone=titre n°1} et \tkzname{ttwo=titre n°2} modifient les entêtes du tableau + +\begin{minipage}[c][][t]{.45\linewidth} +\begin{tkzexample}[code only] + \begin{alterqcm}% + [lq=3cm,tone=titre n°1,% + ttwo=titre n°2] + \AQquestion{Question} + etc... + \end{alterqcm}\end{tkzexample} +\end{minipage}\hfill +\begin{minipage}[c][][t]{.45\linewidth} + \begin{alterqcm}% + [lq = 3cm, + tone = titre n°1, + ttwo = titre n°2] + \AQquestion{Question} + {% + {Proposition 1}, + {Proposition 2} + } + \end{alterqcm} +\end{minipage} + +\subsection{\tkzname{noquare} : suppression du carré } +\IoptEnv{alterqcm}{nosquare} + +\tkzname{nosquare=true} fait disparaître le carré ou encore la numérotation des propositions. + +\begin{minipage}[c][][t]{.45\linewidth} +\begin{tkzexample}[code only,small] + \begin{alterqcm} + [lq=3cm,nosquare=true] + \AQquestion{Question} + etc... + \end{alterqcm}\end{tkzexample} +\end{minipage}\hfill +\begin{minipage}[c][][t]{.45\linewidth} + \begin{alterqcm} + [lq=3cm,nosquare=true] + \AQquestion{Question} + {% + {Proposition 1}, + {Proposition 2} + } + \end{alterqcm} +\end{minipage} + +\medskip +\tkzname{numprop=true} numérote les propositions et \tkzname{propstyle= ...} modifie le style de la numérotation. + +Par défaut, \tkzname{propstyle=\textbackslash alph} + +\begin{minipage}[c][][t]{.45\linewidth} +\begin{tkzexample}[code only,small] + \begin{alterqcm}% + [lq=3cm, + numprop = true, + propstyle = \Roman] + \AQquestion{Question} + etc... + \end{alterqcm}\end{tkzexample} +\end{minipage}\hfill +\begin{minipage}[c][][t]{.45\linewidth} + \begin{alterqcm}% + [lq=3cm, + numprop = true, + propstyle = \Roman] + \AQquestion{Question} + {% + {Proposition 1}, + {Proposition 2}% + } + \end{alterqcm} +\end{minipage} + +\subsection{\tkzname{alea} : positionnement aléatoire des propositions } +\IoptEnv{alterqcm}{alea} + +Il est préférable entre deux compilations d'effacer les fichiers auxiliaires. + +\textcolor{red}{\lefthand} Attention, en mode aléatoire, il n'est pas possible d'obtenir un corrigé correspondant au devoir initial. + +\begin{tkzexample}[small] + \begin{alterqcm}[lq=55mm,alea] + \AQquestion[pq=1mm]{Si la fonction $f$ est strictement croissante sur % + $\mathbf{R}$ alors l'équation $f(x) = 0$ admet :} + {{Au moins une solution},% + {Au plus une solution},% + {Exactement une solution}} + \end{alterqcm}\end{tkzexample} + +\subsection{\tkzname{english} et \tkzname{german} : changement de langue } +\IoptEnv{alterqcm}{english}\IoptEnv{alterqcm}{german}\IoptEnv{alterqcm}{french} + +Je n'ai pas encore traduit les textes de présentation d'un QCM en anglais et en allemand. Cette option ne modifie que les titres des colonnes. + + \begin{tkzexample}[code only,small] + \begin{alterqcm}[language=english,lq=55mm,alea] \end{tkzexample} + + \begin{alterqcm}[language=english,lq=55mm,alea] + \AQquestion[pq=1mm]{Si la fonction $f$ est strictement croissante sur % + $\mathbf{R}$ alors l'équation $f(x) = 0$ admet :} + {{Au moins une solution},% + {Au plus une solution},% + {Exactement une solution}} + \end{alterqcm} + + \begin{tkzexample}[code only,small] + \begin{alterqcm}[language=german,lq=55mm,alea] \end{tkzexample} + + \begin{alterqcm}[language=german,lq=55mm,alea] + \AQquestion[pq=1mm]{Si la fonction $f$ est strictement croissante sur % + $\mathbf{R}$ alors l'équation $f(x) = 0$ admet :} + {{Au moins une solution},% + {Au plus une solution},% + {Exactement une solution}} + \end{alterqcm} + +\subsection{\tkzname{long} : utilisation de longtable} +\IoptEnv{alterqcm}{long}\Ienv{longtable} + +Un tableau peut arriver en fin de page et être coupé ou bien simplement être très long. +Cette option permet d'utiliser à la place d'un environnement \tkzname{tabular} un environnement \tkzname{longtable}. + + +Voici un exemple de Pascal Bertolino. + +\begin{alterqcm}[lq=80mm,long] + +%-------------------------------------------------------------- +\AQquestion{Quel était le langage précurseur du langage C ?} +{{le Fortran}, + {le langage B}, + {le Basic}} + +%-------------------------------------------------------------- +\verbdef\argprop|int a = 3 ^ 4 ;| +\AQquestion{\argprop} +{{élève 3 à la puissance 4}, + {fait un OU exclusif entre 3 et 4}, + {n'est pas une instruction C}} + +%-------------------------------------------------------------- +\AQquestion{Quelle est la bonne syntaxe pour décaler de 8 bits à gauche l'entier \texttt{a} ?} +{{\texttt{b = lshift(a, 8) ;}}, + {\texttt{b = 8 << a ;}}, + {\texttt{b = a << 8 ;}}} + +%-------------------------------------------------------------- +\verbdef\argprop|{ printf ("bonjour") ; return 0 ; \}| +\AQquestion{Le programme complet : \\ + \texttt{int main() \\ + ~~\argprop}} +{{affiche \texttt{bonjour}}, + {donne une erreur à la compilation}, + {donne une erreur à l'exécution}} + +%-------------------------------------------------------------- +\verbdef\arg|float tab[10]| +\verbdef\propa|*tab|\global\let\propa\propa +\verbdef\propb|&tab|\global\let\propb\propb +\verbdef\propc|tab|\global\let\propc\propc +\AQquestion{Soit la déclaration \arg ; \\Le premier réel du tableau est \ldots} +{{\propa}, + {\propb}, + {\propc}} + +%-------------------------------------------------------------- +\AQquestion{La ligne \texttt{printf("\%c", argv[2][0]) ;} du \texttt{main} de \texttt{monProg} exécuté ainsi : +\texttt{monProg parametre }} +{{affiche \texttt{p}}, + {n'affiche rien}, + {peut provoquer un plantage}} +%-------------------------------------------------------------- +\AQquestion{Quelle est la taille en mémoire d'un \texttt{long int} ?} +{{4 octets}, + {8 octets}, + {ça dépend \ldots}} +%-------------------------------------------------------------- +\AQquestion{Suite à la déclaration \texttt{int * i} ;} +{{\texttt{*i} est une adresse}, + {\texttt{*i} est un entier}, + {\texttt{*i} est un pointeur}} +%-------------------------------------------------------------- +\AQquestion{Un des choix suivants n'est pas une bibliothèque standard du C} +{{\texttt{stdlib}}, + {\texttt{stdin}}, + {\texttt{math}}} + %-------------------------------------------------------------- + \AQquestion{Quel était le langage précurseur du langage C ?} + {{le Fortran}, + {le langage B}, + {le Basic}} + + %-------------------------------------------------------------- + \verbdef\argprop|int a = 3 ^ 4 ;| + \AQquestion{\argprop} + {{élève 3 à la puissance 4}, + {fait un OU exclusif entre 3 et 4}, + {n'est pas une instruction C}} + + %-------------------------------------------------------------- + \AQquestion{Quelle est la bonne syntaxe pour décaler de 8 bits à gauche l'entier \texttt{a} ?} + {{\texttt{b = lshift(a, 8) ;}}, + {\texttt{b = 8 << a ;}}, + {\texttt{b = a << 8 ;}}} +\end{alterqcm} + +Le début du code est simplement + +\begin{tkzltxexample}[small] + \begin{alterqcm}[lq=80mm,long] + \AQquestion{Quel était le langage précurseur du langage C ?} + {{le Fortran}, + {le langage B}, + {le Basic}} + \end{alterqcm} +\end{tkzltxexample} + +\medskip +Il est possible de modifier le texte qui est placé en fin de tableau. Il suffit de modifier la commande \tkzcname{aqfoottext}. + +\begin{tkzltxexample}[small] + \def\aqfoottext{suite sur la page suivante\ldots} +\end{tkzltxexample} + +\subsection{\tkzname{numbreak} : scinder un qcm } +Cette option permet soit de continuer la numérotation du tableau précédent. +Cette option était nécessaire avant l'apparition de l'usage de l'option \tkzname{long} + pour les tableaux scindés par une coupure de page. Elle peut désormais être utilisée + pour une série de tableaux regroupés pour obtenir un seul QCM. + +\begin{alterqcm}[lq=80mm,title=false,num=false,long] +\AQquestion{Quel était le langage précurseur du langage C ?} +{{le Fortran}, + {le langage B}, + {le Basic}} + +\verbdef\argprop|int a = 3 ^ 4 ;| +\AQquestion{\argprop} +{{élève 3 à la puissance 4}, + {fait un OU exclusif entre 3 et 4}, + {n'est pas une instruction C}} +\end{alterqcm} + +\begin{alterqcm}[lq=80mm,title=false,num=false,numbreak=2,long] +\AQquestion{Suite à la déclaration \texttt{int * i} ;} +{{\texttt{*i} est une adresse}, + {\texttt{*i} est un entier}, + {\texttt{*i} est un pointeur}} + +\AQquestion{Un des choix suivants n'est pas une bibliothèque standard du C} +{{\texttt{stdlib}}, + {\texttt{stdin}}, + {\texttt{math}}} +\end{alterqcm} + +le code pour le début est : + +\begin{tkzltxexample}[small] + \begin{alterqcm}[lq=80mm,title=false,num=false,long] + \AQquestion{Quel était le langage précurseur du langage C ?} + {{le Fortran}, + {le langage B}, + {le Basic}} + + \verbdef\argprop|int a = 3 ^ 4 ;| + \AQquestion{\argprop} + {{élève 3 à la puissance 4}, + {fait un OU exclusif entre 3 et 4}, + {n'est pas une instruction C}} + \end{alterqcm} +\end{tkzltxexample} + +Pour la seconde partie, on positionne \tkzname{numbreak} sur $2$ car le premier + tableau comportait $2$ questions. Une prochaine version permettra de ne plus avoir à compter + les questions. + +\begin{tkzltxexample}[small] + \begin{alterqcm}[lq=80mm,title=false,num=false,numbreak=2,long] + \AQquestion{Suite à la déclaration \texttt{int * i} ;} + {{\texttt{*i} est une adresse}, + {\texttt{*i} est un entier}, + {\texttt{*i} est un pointeur}} + + \AQquestion{Un des choix suivants n'est pas une bibliothèque standard du C} + {{\texttt{stdlib}}, + {\texttt{stdin}}, + {\texttt{math}}} + \end{alterqcm} +\end{tkzltxexample} + +\newpage +\subsection{\tkzname{correction} : Corrigé d'un qcm} + \IoptEnv{alterqcm}{correction} + + Il est possible de créer un corrigé en utilisant l'option \tkzname{correction} et en indiquant la bonne réponse ou les bonnes réponses à l'aide d'un paramètre local \tkzname{br}. + Voici un exemple : + + \begin{alterqcm}[VF,lq=125mm,correction, + symb = \dingsquare, + corsymb = \dingchecksquare] + \AQquestion[br=1]{Pour tout $x \in ]-3~;~2],~f'(x) \geqslant 0$.} + \AQquestion[br=2]{La fonction $F$ présente un maximum en $2$} + \AQquestion[br=2]{$\displaystyle\int_{0}^2 f'(x)\:\text{d}x = - 2$} + \end{alterqcm} + + \begin{tkzltxexample}[] + \begin{alterqcm}[VF,lq=125mm,correction, + symb = \dingsquare, + corsymb = \dingchecksquare] + \AQquestion[br=1]{Pour tout $x \in ]-3~;~2],~f'(x) \geqslant 0$.} + \AQquestion[br=2]{La fonction $F$ présente un maximum en $2$} + \AQquestion[br=2]{$\displaystyle\int_{0}^2 f'(x)\:\text{d}x = - 2$} + \end{alterqcm} +\end{tkzltxexample} + +\subsection{Modification du symbole \tkzname{corsymb}} + \IoptEnv{alterqcm}{corsymb} + +\tkzcname{dingchecksquare} est fournie par alterqcm. + Voici comment est définie cette macro. + +\begin{tkzexample}[code only,small] + \newcommand*{\dingchecksquare}{\mbox{\ding{114}% + \hspace{-.7em}\raisebox{.2ex}[1ex]{\ding{51}}}} \end{tkzexample} + +\medskip Soit \dingchecksquare\ comme résultat. + +\begin{tkzexample}[code only,small] + \begin{alterqcm}[lq=90mm,symb=\altersquare,corsymb=\dingchecksquare] + ... + \end{alterqcm} +\end{tkzexample} + +\medskip +Exemple complet : + +\medskip + \begin{alterqcm}[VF,lq=125mm,correction, + symb = \dingsquare, + corsymb = \dingchecksquare] + \AQquestion[br=1]{Pour tout $x \in ]-3~;~2],~f'(x) \geqslant 0$.} + \AQquestion[br=2]{La fonction $F$ présente un maximum en $2$} + \AQquestion[br=2]{$\displaystyle\int_{0}^2 f'(x)\:\text{d}x = - 2$} + \end{alterqcm} + + +\begin{tkzexample}[code only] + \begin{alterqcm}[VF,lq=125mm,correction, + symb = \dingsquare, + corsymb = \dingchecksquare] + \AQquestion[br=1]{Pour tout $x \in ]-3~;~2],~f'(x) \geqslant 0$.} + \AQquestion[br=2]{La fonction $F$ présente un maximum en $2$} + \AQquestion[br=2]{$\displaystyle\int_{0}^2 f'(x)\:\text{d}x = - 2$} + \end{alterqcm} +\end{tkzexample} + + \newpage +\subsection{\tkzname{br=\{\ldots\}} : corrigé avec plusieurs bonnes réponses} +\Iopt{AQquestion}{br} + +On donne une liste de réponses correctes +\begin{tkzexample}[vbox,small] +\begin{alterqcm}[correction] +\AQquestion[br={1,3}]{Question} +{% +{Proposition 1}, +{Proposition 2}, +{Proposition 3}% +} +\end{alterqcm} +\end{tkzexample} + +\subsection{\tkzname{transparent} : création d'un transparent indiquant les réponses.} + \IoptEnv{alterqcm}{transparent} + + Cette macro permet de créer un document identique à l'original mais sans les questions et avec un cercle indiquant les bonnes propositions. + + \begin{tkzexample}[vbox,small] + \begin{alterqcm}[transparent,correction,corsymb=\dingchecksquare,lq=100mm] + \AQquestion[br=2,pq=3mm]{Parmi les propositions suivantes, quelle est celle + qui permet d'affirmer que la fonction exponentielle admet pour asymptote la + droite d'équation $y = 0$ ?} + {{$\displaystyle\lim_{x \to +\infty} \dfrac{\text{e}^x}{x} = + \infty$}, + {$\displaystyle\lim_{x \to +\infty} \text{e}^x = + \infty$}, + {$\displaystyle\lim_{x \to -\infty} \text{e}^x = 0$} + } + + \AQquestion[br={1,3}]{exp$(\ln x) = x$ pour tout $x$ appartenant à } + {{$\mathbf{R}$}, + {$\big]0~;~+ \infty\big[$}, + {$\big[0~;~+\infty\big[$} + } + + \AQquestion[br={1,2}]{exp$(\ln x) = x$ pour tout $x$ appartenant à } + {{$\mathbf{R}$}, + {$\big]0~;~+ \infty\big[$}, + {$\big[0~;~+\infty\big[$} + }\AQquestion[br=2,pq=3mm]{Parmi les propositions suivantes, quelle est celle + qui permet d'affirmer que la fonction exponentielle admet pour asymptote + la droite d'équation $y = 0$ ?} + {{$\displaystyle\lim_{x \to +\infty} \dfrac{\text{e}^x}{x} = + \infty$}, + {$\displaystyle\lim_{x \to +\infty} \text{e}^x = + \infty$}, + {$\displaystyle\lim_{x \to -\infty} \text{e}^x = 0$} + } + \end{alterqcm} +\end{tkzexample} +\endinput diff --git a/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-installation.tex b/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-installation.tex new file mode 100644 index 0000000000..cda563b8ba --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-installation.tex @@ -0,0 +1,60 @@ +%!TEX root = /Users/ego/Boulot/Alterqcm/doc/doc_aq-main.tex + +\section{Installation.} + +\subsection{Avec TeXlive sous Linux ou OS X}\NameDist{TeXLive}\NameSys{Linux} +\NameDist{MacTeX}\NameSys{OS X} +\tkzname{alterqcm} est présent sur les serveurs du \tkzname{CTAN} et fait partie de \tkzname{TeXLive} alors \tkzname{tlmgr} vous permettra de l'installer. Si \tkzname{alterqcm} ne fait pas encore partie de votre distribution, cette section vous montre comment l'installer, elle est aussi nécessaire si vous avez envie d'installer une version beta ou personnalisée de \tkzname{alterqcm}. + +Le plus simple est de créer un dossier \tikz[remember picture,baseline=(n1.base)]\node [fill=blue!30,draw] (n1) {prof};\footnote{ou bien un autre nom} avec comme chemin : \colorbox{blue!20}{ texmf/tex/latex/prof}. Voici les chemins de ce dossier sur mes deux ordinateurs: + +\medskip +\begin{itemize}\setlength{\itemsep}{5pt} + +\item sous OS X \colorbox{blue!30}{\textbf{/Users/ego/Library/texmf}}; + +\item sous Ubuntu \colorbox{blue!30}{\textbf{/home/ego/texmf}}. +\end{itemize} + +Je suppose que si vous mettez vos packages ailleurs, vous savez pourquoi ! + +L'installation que je propose n'est valable que pour un utilisateur. + +\medskip +\begin{enumerate} +\item Téléchargez le fichier \tikz[remember picture,baseline=(n2.base)]\node [fill=blue!20,draw] (n2) {alterqcm.sty}; sur l'un des serveurs du \tkzname{CTAN}. + +\item Placez le fichier \tikz[remember picture,baseline=(n2.base)]\node [fill=blue!20,draw] (n2) {alterqcm.sty}; dans le dossier \tkzname{latex} ou bien dans un dossier personnel \tikz[baseline=(tk.base)]\node [fill=blue!30,draw] (tk) {prof};. +\begin{itemize}\setlength{\itemsep}{5pt} + +\item \colorbox{blue!30}{\textbf{\texttildelow/Library/texmf/latex}}; + +\item \colorbox{blue!30}{\textbf{\texttildelow/Library/texmf/latex/prof}}. +\end{itemize} + + +\item Ouvrir un terminal, puis faire \colorbox{red!20}{|sudo texhash|} si nécessaire. + +\end{enumerate} + + +\subsection{Avec MikTeX sous Windows XP}\NameDist{MikTeX}\NameSys{Windows XP} + + +Je ne connais pas grand-chose à ce système, mais un utilisateur de mes packages \tkzimp{Wolfgang Buechel} a eu la gentillesse de me faire parvenir ce qui suit~: + +Pour ajouter \tkzname{alterqcm.sty} à MiKTeX\footnote{Essai réalisé avec la version \tkzname{2.7}}: + +\begin{itemize}\setlength{\itemsep}{10pt} + \item ajouter un dossier \tkzname{prof} dans le dossier + \textcolor{blue!60!black}{\texttt{[MiKTeX-dir]/tex/latex}} + \item copier le fichier \tkzname{alterqcm.sty} dans le dossier \tkzname{prof}, + \item mettre à jour MiKTeX, pour cela dans shell DOS lancer la commande \textbf{\textcolor{red}{|mktexlsr -u|}} + + ou bien encore, choisir \textcolor{red!50}{|Start/Programs/Miktex/Settings/General|} + + puis appuyer sur le bouton \textbf{\textcolor{red}{|Refresh FNDB|}}. +\end{itemize} + +\endinput + diff --git a/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-locales.tex b/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-locales.tex new file mode 100644 index 0000000000..54afa9867e --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-locales.tex @@ -0,0 +1,136 @@ +%!TEX root = /Users/ego/Boulot/Alterqcm/doc/doc_aq-main.tex +\section{Options locales de la macro \tkzcname{AQquestion}} + +\subsection{Utilisation locale de \tkzname{pq}} +\Iopt{AQquestion}{pq} + Le tableau suivant est obtenu avec comme options |lq=85mm| et |size=\large|. Les questions sont mal positionnées. L'option locale \tkzname{pq} résout ce problème, le texte peut être déplacé de 1mm vers le haut avec \tkzcname{AQquestion[pq=1mm]}. + et de |6mm| pour la seconde. + +\medskip + + + \begin{alterqcm}[lq=55mm,size=\large] + +\AQquestion{Si la fonction $f$ est strictement croissante sur $\mathbf{R}$ alors l'équation $f(x) = 0$ admet :} +{{Au moins une solution}, +{Au plus une solution}, +{Exactement une solution} +} +\AQquestion{Si la fonction $f$ est continue et positive sur $[a~ ;~ b]$ et $\mathcal{C}_{f}$ sa courbe représentative dans un repère orthogonal. En unités d'aire, l'aire $\mathcal{A}$ du domaine délimité par $\mathcal{C}_{f}$, l'axe des abscisses et les droites d'équations $x = a$ 5 et $x = b$ est donnée par la formule : } +{% +{$\mathcal{A}= \displaystyle \int_{b}^a f(x)\ \text{d}x$}, +{$\mathcal{A}= \displaystyle \int_{a}^b f(x)\ \text{d}x$}, +{$\mathcal{A} = f(b) - f(a)$}} +\end{alterqcm} + +\medskip +\tkzname{Voici la version corrigée} + +\begin{alterqcm}[lq=55mm,size=\large] +\AQquestion[pq=1mm]{Si la fonction $f$ est strictement croissante sur +$\mathbf{R}$ alors l'équation $f(x) = 0$ admet :} +{{Au moins une solution}, +{Au plus une solution}, +{Exactement une solution} +} +\AQquestion[pq=6mm]{Si la fonction $f$ est continue et positive sur $[a~ ;~ b]$ + et $\mathcal{C}_{f}$ sa courbe représentative dans un repère orthogonal. + En unités d'aire, l'aire $\mathcal{A}$ du domaine délimité par $\mathcal{C}_{f}$, + l'axe des abscisses et les droites d'équations $x = a$ et $x = b$ est donnée + par la formule : } +{{$\mathcal{A}= \displaystyle \int_{b}^a f(x)\ \text{d}x$}, +{$\mathcal{A}= \displaystyle \int_{a}^b f(x)\ \text{d}x$}, +{$\mathcal{A} = f(b) - f(a)$} +} +\end{alterqcm} + +\medskip +\begin{tkzexample}[code only, small] + \begin{alterqcm}[lq=55mm,size=\large] + \AQquestion[pq=1mm]{Si la fonction $f$ est strictement croissante sur + $\mathbf{R}$ alors l'équation $f(x) = 0$ admet :} + {{Au moins une solution}, + {Au plus une solution}, + {Exactement une solution}} +\end{tkzexample} + +\medskip +\begin{tkzexample}[code only, small] + \AQquestion[pq=6mm]{Si la fonction $f$ est continue et positive sur $[a~ ;~ b]$ + et $\mathcal{C}_{f}$ sa courbe représentative dans un repère orthogonal. + En unités d'aire, l'aire $\mathcal{A}$ du domaine délimité par $\mathcal{C}_{f}$, + l'axe des abscisses et les droites d'équations $x = a$ et $x = b$ est donnée + par la formule : } + {{$\mathcal{A}= \displaystyle \int_{b}^a f(x)\ \text{d}x$}, + {$\mathcal{A}= \displaystyle \int_{a}^b f(x)\ \text{d}x$}, + {$\mathcal{A} = f(b) - f(a)$}} + \end{alterqcm} +\end{tkzexample} + +\subsection{Utilisation globale et locale de \tkzname{pq}}\ + \Iopt{AQquestion}{pq} \IoptEnv{alterqcm}{pq} +Cette fois, il est nécessaire de déplacer plusieurs questions, j'ai placé un |pq=2mm| globalement c'est à dire comme ceci :\tkzcname{begin\{alterqcm\}[lq=85mm,pq=2mm]}. \textbf{Toutes} les questions sont affectées par cette option mais certaines questions étaient bien placées et doivent le rester, aussi localement je leur redonne un |pq=0mm|. + +\medskip +\begin{alterqcm}[lq=85mm,pq=2mm] +\AQquestion{Soit une série statistique à deux variables. Les valeurs de $x$ sont 1, 2, 5, 7, 11, 13 et une équation de la droite de régression de $y$ en $x$ par la moindres carrés est $y = 1,35x +22,8$. Les coordonnées du point moyen sont :} +{{$(6,5;30,575)$}, +{$(32,575 ; 6,5)$}, +{$(6,5 ; 31,575)$}} + +\AQquestion[pq=0mm]{$(u_{n})$ est une suite arithmétique de raison $-5$.\\ Laquelle de ces affirmations est exacte ? } +{{Pour tout entier $n,~ u_{n+1} - u_{n} = 5$}, +{$u_{10}= u_{2}+ 40$}, +{$u_{3} = u_{7} + 20$} +} +\AQquestion[pq=0mm]{L'égalité $\ln (x^2 - 1) = \ln (x - 1) + \ln (x+1)$ est vraie} +{{Pour tout $x$ de $]- \infty~;~-1[ \cup]1~;~+ \infty[$}, +{Pour tout $x$ de $\mathbf{R} - \{-1~ ;~ 1\}$.}, +{Pour tout $x$ de $]1~ ;~+\infty[$} +} +\AQquestion{Pour tout réel $x$, le nombre \[\dfrac{\text{e}^x - 1}{\text{e}^x + 2}\hskip12pt \text{égal à :} \] } +{{$-\dfrac{1}{2}$}, +{$\dfrac{\text{e}^{-x} - 1}{\text{e}^{-x} + 2}$}, +{$\dfrac{1 - \text{e}^{-x}}{1 + 2\text{e}^{-x}}$} +} +\AQquestion{On pose I $= \displaystyle\int_{\ln 2}^{\ln 3} \dfrac{1}{\text{e}^x - 1}\,\text{d}x$ et J $ = \displaystyle\int_{\ln 2}^{\ln 3} \dfrac{\text{e}^x}{\text{e}^x - 1}\,\text{d}x$ \\ alors le nombre I $-$ J est égal à} +{{$\ln \dfrac{2}{3}$}, +{$\ln \dfrac{3}{2}$}, +{$\dfrac{3}{2}$} +} +\end{alterqcm} + +\medskip +\begin{tkzexample}[code only,vbox,small] + \begin{alterqcm}[lq=85mm,pq=2mm] + \AQquestion[pq=0mm]{L'égalité $\ln (x^2 - 1) = \ln (x - 1) + \ln (x+1)$ + est vraie} + {{Pour tout $x$ de $]- \infty~;~-1[ \cup]1~;~+ \infty[$}, + {Pour tout $x$ de $\mathbf{R} - \{-1~ ;~ 1\}$.}, + {Pour tout $x$ de $]1~ ;~+\infty[$}} + \AQquestion{Pour tout réel $x$, le nombre \[\dfrac{\text{e}^x - 1} + {\text{e}^x + 2}\hskip12pt \text{égal à :} \] } + {{$-\dfrac{1}{2}$}, + {$\dfrac{\text{e}^{-x} - 1}{\text{e}^{-x} + 2}$}, + {$\dfrac{1 - \text{e}^{-x}}{1 + 2\text{e}^{-x}}$}} + \end{alterqcm} + \end{tkzexample} + + +\subsection{\tkzname{correction} et \tkzname{br} : rang de la bonne réponse} +\Iopt{AQquestion}{br} \Iopt{AQquestion}{correction} +Tout d'abord, il est nécessaire de demander un corrigé. Pour cela, il suffit d'inclure l'option \tkzname{correction} qui est un booléen, ainsi positionné sur \tkzname{true}. Ensuite dans chaque question, il est nécessaire de donner la liste des bonnes réponses. Par exemple, avec \tkzname{br=1} ou bien encore \tkzname{br=\{1,3\}}. + +Voici le corrigé de l'exercice précédent : + +\medskip +\begin{tkzexample}[vbox,small] +\begin{alterqcm}[VF,correction,lq=125mm] + \AQquestion[br=1]{Pour tout $x \in ]-3~;~2],~f'(x) \geqslant 0$.} + \AQquestion[br=2]{La fonction $F$ présente un maximum en $2$} + \AQquestion[br=2]{$\displaystyle\int_{0}^2 f'(x)\:\text{d}x = - 2$} +\end{alterqcm} +\end{tkzexample} + + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-mc.tex b/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-mc.tex new file mode 100644 index 0000000000..4602d827bb --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-mc.tex @@ -0,0 +1,213 @@ +%!TEX root = /Users/ego/Boulot/Alterqcm/doc/doc_aq-main.tex + +\section{Macros complémentaires} + +\subsection{\tkzcname{AQmessage} : message sur les deux colonnes} + +Elle permet d'insérer dans le tableau sur les deux colonnes, des renseignements complémentaires pour le candidat. + +Dans le tableau suivant, il est nécessaire de donner des indications et des précisions sur l'énoncé. Ceci est fait à l'aide de la commande \tkzcname{AQmessage}. J'ai utilisé le package \tkzname{tkz-tab.sty} pour ce message ainsi que \emph{\texttt{l'environnement minipage}} pour certaines propositions, afin de faire tenir la proposition sur plusieurs lignes. cela est nécessaire si on ne veut pas sortir du tableau ou bien si on ne veut pas restreindre l'espace accordé aux questions. +Cela montre que l'on peut utiliser de nombreux environnements à la fois dans les questions, les messages et les propositions + +\begin{NewMacroBox}{AQmessage}{{\var{texte}}} + +\begin{tabular}{@{}Il Il Il@{}} \toprule \thead +argument & défaut & définition \\ \midrule +\tbody +\TAline{texte} {} {corps du message} +\bottomrule +\end{tabular} + +\medskip +\emph{Cette macro n'utilise qu'un argument~: le texte du message. Celui-ci peut contenir toute sorte d'environnement à l'exception, malheureusement, d'un tableau conçu avec \tkzname{tablor}. Il est cependant possible d'importer un tableau conçu à l'aide de \tkzname{tablor} avec la macro \tkzcname{includegraphics}\footnotemark.} +\end{NewMacroBox}\Imacro{includegraphics} + +\footnotetext{macro du package \tkzname{graphicx}} + +\begin{alterqcm}[lq=80mm,pre=false] +\AQmessage{\begin{minipage}{15cm} +\vspace*{6pt} + Soit $f$ une fonction définie et dérivable sur l'intervalle $]-5~;~+\infty[$ dont le tableau de variations est donné ci-dessous : +\begin{center}\begin{tikzpicture} +\def\tkzTabDefaultWritingColor{Maroon} +\def\tkzTabDefaultBackgroundColor{fondpaille} +\tkzTabInit{$x$/1,$f(x)$/3} {$-5$,$-1$,$0$,$2$,$+\infty$} +\tkzTabVar{-/$-\infty$ /,+/$-3$/,-/$-5$/,+/4/,-/{4,5}/} +\end{tikzpicture}\end{center} + On désigne par $\mathcal{C}$ la courbe représentative de $f$. + \vspace*{6pt} +\end{minipage} +} +\AQquestion{Sur l'intervalle $]-5~;~+\infty[$, l'équation $f(x) = -2$ admet } +{{une seule solution}, +{deux solutions}, +{quatre solutions}} +\end{alterqcm} + +\begin{tkzexample}[code only] + \begin{alterqcm}[lq=95mm,pre=false] + \AQmessage{ Soit $f$ une fonction définie et dérivable sur l'intervalle% + $]-5~;~+\infty[$ dont le tableau de variations est donné ci-dessous : + \begin{center}\begin{tikzpicture} + \tkzTabInit{$x$/1,$f(x)$/3} {$-5$,$-1$,$0$,$2$,$+\infty$} + \tkzTabVar{-/$-\infty$ ,+/$-3$,-/$-5$,+/$4$,-/${4,5}$}% + \end{tikzpicture}\end{center} + On désigne par $\mathcal{C}$ la courbe représentative de $f$.} +\AQquestion{Sur l'intervalle $]-5~;~+\infty[$,l'équation $f(x) = -2$ admet} + {{une seule solution}, + {deux solutions}, + {quatre solutions}} + \end{alterqcm}\end{tkzexample} + + +\subsection{\tkzcname{AQms} : utilisation d'un trait invisible} + +\begin{NewMacroBox}{AQms}{(height,depth)} + \begin{tabular}{@{}Il Il Il@{}} \toprule \thead + argument & défaut & définition \\ \midrule + \tbody + \TAline{height} {} {hauteur du trait} + \TAline{depth} {} {profondeur du trait} + \bottomrule + \end{tabular} + +\medskip +\emph{C'est un trait invisible\footnotemark, utile si il est nécessaire de faire un espace plus conséquent autour d'une proposition.} + +\textcolor{red}{\emph{\texttt{ Il faudrait éviter de l'utiliser!}}} + +\end{NewMacroBox} +\footnotetext{ voir la macro \tkzcname{strut}} + +\begin{tkzexample}[code only,width=\textwidth-1pt] + \def\AQms(#1,#2){\vrule height #1pt depth #2pt width 0pt} + \end{tkzexample} + +\begin{tkzexample}[width=8cm] + \begin{minipage}[]{7.5cm} + \begin{alterqcm}% + [lq=4cm] + \AQquestion{Question} + {% + {Proposition 1}, + {Proposition 2\AQms(16,14)}, + {Proposition 3}} + \end{alterqcm} + \end{minipage} +\end{tkzexample} + +\newpage +\subsection{\tkzcname{InputQuestionList} : QCM à partir d'une liste de fichiers} + +\begin{NewMacroBox}{InputQuestionList}{\var{path}\var{prefix}\var{list of integers}} + +\begin{tabular}{@{}Il Il Il@{}} \toprule \thead + argument & défaut & définition \\ \midrule + \tbody +\TAline{path} {} {chemin qui conduit au dossier contenant les fichiers} \TAline{prefix} {} {le nom des fichiers : <prefix><integer>.tex} +\TAline{list of integers}{}{liste de nombres entiers correspondants aux fichiers} +\bottomrule + \end{tabular} + + \medskip +\emph{Cette macro permet d'insérer dans un tableau des questions enregistrées dans des fichiers. Un fichier peut contenir une ou plusieurs questions avec les propositions correspondantes. \tkzname{path} est le chemin vers le dossier contenant les fichiers. \tkzname{prefix} permet de nommer les fichiers, un entier détermine de façon unique le fichier.} + +\end{NewMacroBox} + +Soit le fichier \tkzname{qcm-1.tex} + +\begin{tkzltxexample}[] + \AQquestion{Quel était le langage précurseur du langage C ?} + {{le Fortran}, + {le langage B}, + {le Basic}} +\end{tkzltxexample} + +\medskip +Soit le fichier \tkzname{qcm-2.tex} + +\begin{tkzltxexample}[] + \verbdef\arg|int a = 3 ^ 4 ;| + \AQquestion{\arg} + {{élève 3 à la puissance 4}, + {fait un OU exclusif entre 3 et 4}, + {n'est pas une instruction C}} +\end{tkzltxexample} + +\bigskip +Supposons créée une série de fichiers dans un dossier |iut| avec comme noms \newline + \tkzname{qcm-1.tex}, \tkzname{qcm-2.tex}, \ldots ,\tkzname{qcm-$n$.tex}. Le prefix pour nommer ces fichiers est donc \tkzname{qcm-}. + +Le chemin de ce dossier est par exemple |/Users/ego/Boulot/PROF/Alterqcm/Examples/iut/|. + + +Le résultat est : + +\newcommand*{\listpath}{/Users/ego/Boulot/Alterqcm/doc/iut/} + +\begin{alterqcm}[lq=80mm] + \InputQuestionList{/Users/ego/Boulot/Alterqcm/doc/iut/}{qcm-}{2,1} +\end{alterqcm} + +\begin{tkzexample}[code only] +\newcommand*{\listpath}{/Users/ego/Boulot/Alterqcm/doc/iut/} +\begin{alterqcm}[lq=80mm] + \InputQuestionList{\listpath}{qcm-}{2,1} +\end{alterqcm} +\end{tkzexample} + +\newpage +\subsection{La commande \tkzcname{AQannexe}} + + +\begin{NewMacroBox}{AQannexe}{\oarg{local options}\var{start}\var{end}\var{col}} +\begin{tabular}{@{}Il Il Il@{}} \toprule \thead +arguments & défaut & définition \\ \midrule +\tbody +\TAline{start} {} {numéro de la première rangée} +\TAline{end} {} {numéro de la dernière rangée} +\TAline{col} {} {nombre de propositions} + \bottomrule +\end{tabular} + +\medskip +\emph{Cette macro utilise trois arguments. Ce sont trois nombres entiers. \tkzname{start} est le rang de la première rangée, \tkzname{end} le rang final et \tkzname{col} le nombre de propositions.} + +\medskip +\begin{tabular}{@{}Il Il Il@{}} \toprule \thead +Options & défaut & définition \\ \midrule +\tbody +\TOline{VF} {false} { vrai ou faux; affiche V et F } +\TOline{propstyle} {\BS arabic} { style de numérotation des propositions } \\ +\bottomrule +\end{tabular} + +\medskip +\emph{\tkzname{VF} permet d'afficher V et F pour identifier les propositions mais il est nécessaire que \tkzname{col} soit égal à deux} + +\medskip + +\end{NewMacroBox} + +\begin{tkzltxexample}[] + \documentclass{article} + \usepackage[utf8]{inputenc} + \usepackage[T1]{fontenc} + \usepackage{lmodern} + \usepackage{alterqcm,fullpage} + \thispagestyle{empty} + + \begin{document} + NOM : + + PRÉNOM : + + \vspace{1cm}{ \Large + \AQannexe{1}{10}{2}\hspace{2cm} + \AQannexe[propstyle=\alph]{11}{20}{3}} + \end{document} +\end{tkzltxexample} + +\AQannexe{1}{10}{2}\hspace{2cm} +\AQannexe[propstyle=\alph]{11}{20}{3} +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-points.tex b/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-points.tex new file mode 100644 index 0000000000..ae152e3544 --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-points.tex @@ -0,0 +1,44 @@ +\section{Points attibués à un QCM} + +Il est possible d'attribuer des points à un QCM à l'aide de la macro rudimentaire suivante \tkzcname{AQpoints} + +\begin{tkzltxexample}[small] + \newcommand\AQpoints[1]{% + \marginpar{\hspace*{1em} + \begin{tabular}{|c|} + \hline + \textbf{#1}\\ + \hline\\ + \hline + \end{tabular}}} +\end{tkzltxexample} + +\subsection{Exemple} + +\begin{tkzltxexample}[] + \AQpoints{10} + \begin{alterqcm}[symb = \dingsquare, lq=7cm] + \AQquestion{Si \numprint{3,24} est la troncature de $x$ au centième, alors on est sûr que :} + {{\begin{minipage}[t]{\linewidth-1cm}$3,235\leqslant x <3,245$\\ + \end{minipage}} , + {\begin{minipage}[t]{\linewidth-1cm} $3,24\leqslant x <3,25$\\ + \end{minipage}} , + {\begin{minipage}[t]{\linewidth-1cm} + $x$ est plus près de \numprint{3,24} que de \numprint{3,25} + \end{minipage}}} + \end{alterqcm} +\end{tkzltxexample} + +\medskip +\AQpoints{10} + \begin{alterqcm}[symb = \dingsquare, lq=7cm] + \AQquestion{Si \numprint{3,24} est la troncature de $x$ au centième, alors on est sûr que :} + {{\begin{minipage}[t]{\linewidth-1cm}$3,235\leqslant x <3,245$\\ + \end{minipage}} , + {\begin{minipage}[t]{\linewidth-1cm} $3,24\leqslant x <3,25$\\ + \end{minipage}} , + {\begin{minipage}[t]{\linewidth-1cm} + $x$ est plus près de \numprint{3,24} que de \numprint{3,25} + \end{minipage}}} +\end{alterqcm} +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-problem.tex b/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-problem.tex new file mode 100644 index 0000000000..48ac05835d --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc-aq-problem.tex @@ -0,0 +1,23 @@ +\section{Problèmes connus et FAQ} + +\subsection{Incompatibilité avec \tkzname{colortbl.sty}} + + Le problème provient du fait que \tkzname{colortbl.sty} est parfois incompatible avec la commande \tkzname{multicolumn}. Le texte utilisé dans la commande \tkzname{multicolumn} ne doit contenir qu'un seul paragraphe. + Il faut simplement ne pas utiliser la commande \tkzname{AQmessage}. Une solution est d'interrompre le QCM pour afficher ce que l'on souhaite puis reprendre le tableau. + + \subsection{FAQ} + \subsubsection{Traduction des commandes} + Certaines commandes peuvent être traduites ou modifiées comme par exemple : \tkzcname{aq@pre} et \tkzcname{aq@preVF}, il suffit pour cela d'utiliser \tkzcname{renewcommand} + +\begin{tkzltxexample}[] + \renewcommand{\aq@pre}{Pour chacune des questions ci-dessous, une seule des + r\'eponses propos\'ees est exacte. Vous devez cocher la r\'eponse exacte + sans justification. + Une bonne r\'eponse rapporte \textbf{\cmdAQ@global@bonus\ point}. Une + mauvaise r\'eponse enl\`eve \textbf{\cmdAQ@global@malus\ point}. L'absence + de r\'eponse ne rapporte ni n'enl\`eve aucun point. Si le total des points + est n\'egatif, la note globale attribu\'ee \`a l'exercice est \textbf{0}.}% +\end{tkzltxexample} + + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc_aq-main.tex b/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc_aq-main.tex new file mode 100644 index 0000000000..69b878c0c8 --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/doc/latex/doc_aq-main.tex @@ -0,0 +1,164 @@ +% encoding : utf8 +% TKZdoc-aq.tex +% Created by Alain Matthes on 2009-03-13. +% Copyright (C) 2009 Alain Matthes +% +% This file may be distributed and/or modified +% +% 1. under the LaTeX Project Public License , either version 1.3 +% of this license or (at your option) any later version and/or +% 2. under the GNU Public License. +% See http://www.latex-project.org/lppl.txt for details. +% +% +% 'doc-aq' is the french doc of alterqcm.sty +% +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% % +% doc altermqcm.sty encodage : utf8 % +% % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% % +% Créé par Alain Matthes le 20/04/2009 % +% Copyright (c) 2009 __Collège Sévigné__ All rights reserved. % +% version : 3.7 % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% Fichier .tex de présentation du package alterqcm.sty +% d'après le code de DTK. +\documentclass[DIV=15, + fontsize=10, + headinclude=false, + index=totoc, + footinclude=false, + twoside, + headings=small]{tkz-doc} + +\usepackage{fancybox} +\usepackage{stmaryrd} +\usepackage{array,multirow,longtable,tkz-tab,tkz-base} +\usepackage{alterqcm} + +\usepackage[pdftex,unicode, + colorlinks=true, + pdfpagelabels, + urlcolor=blue, + filecolor=pdffilecolor, + linkcolor=blue, + breaklinks =false, + hyperfootnotes=false, + bookmarks=false, + bookmarksopen=false, + linktocpage=true, + pdfsubject={qcm}, + pdfauthor={Alain Matthes}, + pdftitle={alterqcm}, + pdfkeywords={qcm, mathematics, table}, + pdfcreator={LaTeX} + ]{hyperref} +\usepackage{url} +\def\UrlFont{\small\ttfamily} +\usepackage[protrusion = true, + expansion, + final, + verbose = false, + babel = true]{microtype} + +\DisableLigatures{encoding = T1, family = tt*} +\usepackage[parfill]{parskip} + +\gdef\nameofpack{alterqcm} +\gdef\versionofpack{3.7 c} +\gdef\dateofpack{2011/06/01} +\gdef\nameofdoc{doc-alterqcm} +\gdef\versionofdoc{3.7 c} +\gdef\dateofdoc{2011/06/01} +\gdef\authorofpack{Alain Matthes} +\gdef\adressofauthor{} +\gdef\namecollection{AlterMundus} +\gdef\urlauthor{http://altermundus.fr} +\gdef\urlauthorcom{http://altermundus.com} + +\title{The package : alterqcm.sty} +\author{Alain Matthes} +\pdfcompresslevel=9 +\pdfinfo{ + /Title (doc_alterqcm.pdf) + /Creator (TeX) + /Producer (pdfeTeX) + /Author (Alain Matthes) + /CreationDate (01 juin 2011) + /Subject (Documentation du package alterqcm v 3.7) + /Keywords (pdfeTeX, qcm, maths, pdflatex) } + + + +\renewcommand*{\Ienv}[1]{\index{Environnement_1@\texttt{Environnement}!\texttt{#1}}} +\renewcommand*{\NameSys}[1]{\index{Système d'exploitation !#1@\texttt{#1}}} + +\usepackage{shortvrb,verbdef,fancyvrb} +\usepackage{tkzexample} +\usepackage[frenchb]{babel} +\usepackage[autolanguage]{numprint} + +\makeatletter +\renewcommand*\l@subsubsection{\bprot@dottedtocline{3}{3.8em}{4em}} +\makeatother +\AtBeginDocument{\MakeShortVerb{\|}} + +\begin{document} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\title{\nameofpack} +\date{\today} +\clearpage +\thispagestyle{empty} +\maketitle +\clearpage +\definecolor{fondpaille}{cmyk}{0,0,0.1,0} +\colorlet{graphicbackground}{fondpaille} +\colorlet{codebackground}{brown!15} +\colorlet{codeonlybackground}{brown!15} +\pagecolor{fondpaille} +\color{Maroon} + +\nameoffile{\nameofpack} +\defoffile{\textbf{alterqcm.sty} est un package pour mettre en page le plus simplement possible des questionnaires à choix multiples sous forme de tableaux à deux colonnes.} + +\presentation + +\vspace*{12pt} + +\lefthand\ Je remercie \tkzimp{Michel Bovani} pour nous permettre d'utiliser \tkzname{fourier} et \tkzname{utopia} avec \LaTeX. + +\vspace*{12pt} +\lefthand\ Je remercie également \tkzimp{Jean-Côme Charpentier}, \tkzimp{Manuel Pégourié-Gonnard}, \tkzimp{Franck Pastor}, \tkzimp{Ulrike Fischer} et \tkzimp{Josselin Noirel} pour les différentes idées et conseils qui m'ont permis de faire ce package. + +\vfill +Vous pouvez envoyer vos remarques, et les rapports sur des erreurs que vous aurez constatées + à l'adresse suivante \href{mailto:al.ma@mac.com}{\textcolor{blue}{Alain Matthes}} + + +This file can be redistributed and/or modified under the terms of the LATEX +Project Public License Distributed from CTAN archives in directory \url{CTAN:// +macros/latex/base/lppl.txt}. + +\clearpage\newpage +\setlength{\parskip}{1ex plus 0.5ex minus 0.2ex} + +\tableofcontents +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\include{doc-aq-installation} +\include{doc-aq-def} +\include{doc-aq-globales} +\include{doc-aq-locales} +\include{doc-aq-mc} +\include{doc-aq-excomp} +\include{doc-aq-points} +\include{doc-aq-problem} + +\clearpage\newpage +\makeatletter +\printindex +\end{document} + diff --git a/obsolete/macros/latex/contrib/alterqcm/examples/latex/AntillesESjuin2006.tex b/obsolete/macros/latex/contrib/alterqcm/examples/latex/AntillesESjuin2006.tex new file mode 100644 index 0000000000..e3108f02b7 --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/examples/latex/AntillesESjuin2006.tex @@ -0,0 +1,80 @@ +\documentclass[11pt]{article} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{lmodern} +\usepackage{xkeyval,array,multirow,amsmath,amssymb} +\usepackage{fullpage,longtable} +\usepackage[]{alterqcm} +\usepackage[frenchb]{babel} + +\begin{document} +\begin{alterqcm}[lq=90mm,pre=true,long] + +\AQquestion{Parmi les propositions suivantes, quelle est celle qui permet d'affirmer que la fonction exponentielle admet pour asymptote la droite d'équation $y = 0$ ?} +{{$\displaystyle\lim_{x \to +\infty} \text{e}^x = + \infty$}, +{$\displaystyle\lim_{x \to -\infty} \text{e}^x = 0$}, +{$\displaystyle\lim_{x \to +\infty} \dfrac{\text{e}^x}{x} = + \infty$}} + +\AQquestion{Parmi les propositions suivantes, quelle est celle qui permet d'affirmer que l'inéquation $\ln (2x + 1) \geqslant \ln (x + 3)$ admet l'intervalle $\big[2~;~+\infty\big[$ comme ensemble de solution ? } +{{\begin{minipage}{5cm}la fonction ln est positive sur $\big[1~;~+\infty\big[$\end{minipage}}, +{$\displaystyle\lim_{x \to +\infty} \ln x = + \infty$}, +{\begin{minipage}{5cm}la fonction $\ln$ est croissante sur $\big]0~;~+\infty\big[$\end{minipage}} +} + +\AQquestion{Parmi les propositions suivantes quelle est celle qui permet d'affirmer qu'une primitive de la fonction $f$ définie sur $\mathbb{R}$ par $x \mapsto (x + 1)\text{e}^x$ est la fonction $g~:~x~ \mapsto~ x~ \text{e}^x$~? } +{{pour tout réel $x,~f'(x) = g(x)$}, +{pour tout réel $x,~g'(x) = f(x)$}, +{\begin{minipage}{5.5cm} pour tout réel $x,~g(x) = f'(x) + k$, $k$ réel quelconque \end{minipage}}} + +\AQquestion[pq=2mm]{ L'équation $2\text{e}^{2x} - 3\text{e}^x + 1 = 0$ admet pour ensemble solution} +{{$\left\{\dfrac{1}{2}~;~1\right\}$}, +{$\left\{0~;~\ln \dfrac{1}{2}\right\}$}, +{$\big\{0~;~\ln 2\big\}$} +} + +\AQquestion[pq=2mm]{Pour tout $n \in \mathbb{N}$ } +{{$\displaystyle\lim_{x \to +\infty} \frac{\text{e}^x}{x^n} = 1$}, +{$\displaystyle\lim_{x \to +\infty} \frac{\text{e}^x}{x^n} = +\infty$}, +{$\displaystyle\lim_{x \to +\infty} \frac{\text{e}^x}{x^n} = 0$}} + +\AQquestion[pq=1pt]{Soit $f$ la fonction définie sur $\big]0~;~+\infty\big[$ par $f(x) = 2\ln x - 3x + 4$. Dans un repère, une équation de la tangente à la courbe représentative de $f$ au point d'abscisse 1 est :} +{{$y = - x + 2$}, +{$y = x + 2$}, +{$y = - x - 2$} +} + +\AQquestion[pq=2mm]{La valeur moyenne sur $\big[1 ; 3\big]$ de la fonction $f$ définie par : $f(x) = x^2 + 2x$ est :} +{{$\dfrac{50}{3}$}, +{$\dfrac{25}{3}$}, +{$6$} +} +\AQquestion{ exp$(\ln x) = x$ pour tout $x$ appartenant à } +{{$\mathbb{R}$}, +{$\big]0~;~+ \infty\big[$}, +{$\big[0~;~+\infty\big[$} +} +\AQquestion[pq=1pt]{Soit $f$ la fonction définie sur $\big]0~;~+\infty\big[$ par $f(x) = 2\ln x - 3x + 4$. Dans un repère, une équation de la tangente à la courbe représentative de $f$ au point d'abscisse 1 est :} +{{$y = - x + 2$}, +{$y = x + 2$}, +{$y = - x - 2$} +} + +\AQquestion[pq=2mm]{La valeur moyenne sur $\big[1 ; 3\big]$ de la fonction $f$ définie par : $f(x) = x^2 + 2x$ est :} +{{$\dfrac{50}{3}$}, +{$\dfrac{25}{3}$}, +{$6$} +} +\AQquestion{ exp$(\ln x) = x$ pour tout $x$ appartenant à } +{{$\mathbb{R}$}, +{$\big]0~;~+ \infty\big[$}, +{$\big[0~;~+\infty\big[$} +} +\end{alterqcm} +\end{document} + +% AntillesESjuin2006 + +% encoding : utf8 +% format : pdflatex +% engine : pdfetex +% author : Alain Matthes
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/alterqcm/examples/latex/alea.tex b/obsolete/macros/latex/contrib/alterqcm/examples/latex/alea.tex new file mode 100644 index 0000000000..d95b020685 --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/examples/latex/alea.tex @@ -0,0 +1,31 @@ +\documentclass{article} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{fourier} +\usepackage{alterqcm} +\usepackage{fullpage} +\thispagestyle{empty} + +\begin{document} +\begin{minipage}{12cm} + \begin{alterqcm}[lq=55mm,alea,sep] + \AQquestion[pq=1mm]{Si la fonction $f$ est strictement croissante sur $\mathbf{R}$ alors l'équation $f(x) = 0$ admet :} + {{Au moins une solution},% + {Au plus une solution},% + {Exactement une solution}} + \end{alterqcm} + + \vspace{1cm} + \begin{alterqcm}[lq=55mm,alea,sep=false] + \AQquestion[pq=1mm]{Si la fonction $f$ est strictement croissante sur $\mathbf{R}$ alors l'équation $f(x) = 0$ admet :} + {{Au moins une solution},% + {Au plus une solution},% + {Exactement une solution}} + \end{alterqcm} +\end{minipage} + +\end{document} + +% utf8 +% pdflatex +% Alain Matthes
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/alterqcm/examples/latex/annexe.tex b/obsolete/macros/latex/contrib/alterqcm/examples/latex/annexe.tex new file mode 100644 index 0000000000..fd5fab6d10 --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/examples/latex/annexe.tex @@ -0,0 +1,25 @@ +\documentclass[a4paper]{article} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{fourier} +\usepackage{alterqcm} +\usepackage{fullpage} +\thispagestyle{empty} + +\begin{document} +{\Large +NOM : + +PRÉNOM : + +\bfseries +\vspace{1cm} +\AQannexe[propstyle=\bfseries\arabic]{1}{10}{4}% + \hspace{2cm} +\AQannexe[propstyle=\bfseries\alph]{11}{20}{3}} +\end{document} + +% encoding : utf8 +% format : pdflatex +% engine : pdfetex +% author : Alain Matthes diff --git a/obsolete/macros/latex/contrib/alterqcm/examples/latex/correct.tex b/obsolete/macros/latex/contrib/alterqcm/examples/latex/correct.tex new file mode 100644 index 0000000000..e017eacb4b --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/examples/latex/correct.tex @@ -0,0 +1,27 @@ +\documentclass[10pt]{article} +\usepackage[utf8]{inputenc} +\usepackage[upright]{fourier} +\usepackage{amsmath,amssymb,stmaryrd} +\usepackage{fullpage} +\usepackage{alterqcm} +\usepackage[frenchb]{babel} +\parindent=0pt +\newlength{\oldtextwidth} +\begin{document} + \setlength{\oldtextwidth}{\textwidth} + \setlength{\textwidth}{14cm} + \begin{alterqcm}[VF, + correction, + lq = 100mm, + symb = \dingsquare, + corsymb = \dingchecksquare] + \AQquestion[br={1}]{Pour tout $x \in ]-3~;~2],~f'(x) \geqslant 0$.} + \AQquestion[br={2}]{La fonction $F$ présente un maximum en $2$} + \AQquestion[br={2}]{$\displaystyle\int_{0}^2 f'(x)\:\text{d}x = - 2$} + \end{alterqcm} +\setlength{\textwidth}{\oldtextwidth} +\end{document} +% encoding : utf8 +% format : pdflatex +% engine : pdfetex +% author : Alain Matthes
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/alterqcm/examples/latex/example_1.tex b/obsolete/macros/latex/contrib/alterqcm/examples/latex/example_1.tex new file mode 100644 index 0000000000..5a372d15ca --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/examples/latex/example_1.tex @@ -0,0 +1,23 @@ +\documentclass[12pt]{article} +\usepackage[utf8]{inputenc} +\usepackage[upright]{fourier} +%\usepackage[T1]{fontenc} +%\usepackage{lmodern} +\usepackage{alterqcm} +\usepackage{fullpage}% +\usepackage[frenchb]{babel} +\parindent0pt +\begin{document} +\begin{alterqcm} + \AQquestion{Question}{% + {Proposition 1}, + {Proposition 2}, + {Proposition 3}} +\end{alterqcm} + +\end{document} + +% encoding : utf8 +% format : pdflatex +% engine : pdfetex +% author : Alain Matthes
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/alterqcm/examples/latex/example_2.tex b/obsolete/macros/latex/contrib/alterqcm/examples/latex/example_2.tex new file mode 100644 index 0000000000..a314cdb7fe --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/examples/latex/example_2.tex @@ -0,0 +1,45 @@ +\documentclass[11pt]{article} +\usepackage[utf8]{inputenc}% sauf si vous avez changé l'encodage +%\usepackage[upright]{fourier}% je la préfère aux autres! +% fourier charge textcomp ainsi que [T1]{fontenc} +% et fournit l'essentiel des symboles de amssymb +% en cas de changement, il ne faut pas oublier +% de placer un \usepackage[T1]{fontenc} qui est fourni +% automatiquement par fourier. +\usepackage[T1]{fontenc} +\usepackage{lmodern} +\usepackage{amsmath,amssymb,stmaryrd,calc}%}% pour geqslant qui existe ds fourier +\usepackage{xkeyval} +\usepackage{multirow,longtable} +\usepackage[% + a4paper,% + textwidth=16cm, + top=2cm,% + bottom=2cm,% + headheight=25pt,% + headsep=12pt,% + footskip=25pt]{geometry}% + +\usepackage{alterqcm} +% on charge le package +% longtable en cas de débordement du tableau +% amsmath car les exemples sont des annales du bac en mathématiques. +\usepackage[frenchb]{babel} +\parindent=0pt +\begin{document} + + + +\begin{alterqcm}[lq=80mm,long] +\AQquestion{Parmi les propositions suivantes, quelle est celle qui permet d'affirmer que la fonction exponentielle admet pour asymptote la droite d'équation $y = 0$ ?} +{{$\displaystyle\lim_{x \to +\infty} \text{e}^x = + \infty$}, +{$\displaystyle\lim_{x \to -\infty} \text{e}^x = 0$}, +{$\displaystyle\lim_{x \to +\infty} \dfrac{\text{e}^x}{x} = + \infty$}} + +\AQquestion[]{exp$(\ln x) = x$ pour tout $x$ appartenant à } +{{$\mathbf{R}$}, +{$\big]0~;~+ \infty\big[$}, +{$\big[0~;~+\infty\big[$} +}\end{alterqcm} + +\end{document}
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/alterqcm/examples/latex/example_3.tex b/obsolete/macros/latex/contrib/alterqcm/examples/latex/example_3.tex new file mode 100644 index 0000000000..79126645c3 --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/examples/latex/example_3.tex @@ -0,0 +1,64 @@ +\documentclass[11pt]{article} +\usepackage{xltxtra} +\usepackage{xgreek} +\usepackage{amsmath,amssymb,stmaryrd,calc}%}% pour geqslant qui existe ds fourier +\usepackage{xkeyval} +\usepackage{multirow,longtable} +\usepackage[% + a4paper,% + textwidth=16cm, + top=2cm,% + bottom=2cm,% + headheight=25pt,% + headsep=12pt,% + footskip=25pt]{geometry}% +\usepackage[greek]{alterqcm} +\usepackage{tikz} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\parindent=0pt +\begin{document} +\setmainfont[Mapping=tex-text,Ligatures=Common]{Minion Pro} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%\nogreekalph +\begin{minipage}[t][][b]{.45\linewidth} + Έστω $f$ ορισμένη και παραγωγίσιμη στο διάστημα $\big[-3,\,+\infty\big)$, + αύξουσα στα διαστήματα $\big[-3,\,-1\big]$ et $\big[2,\,+\infty\big)$ + και φθίνουσα στο διάστημα $\big[-1,\,2\big]$. +Έστω $f^{\prime}$ η παράγωγός της στο διάστημα $[-3,\,+\infty)$. + Η γραφική παράσταση $\Gamma$ της $f$ είναι σχεδιασμένη στο διπλανό σχήμα ως προς ένα ορθογώνιο σύστημα αξόνων $\big(O,~\vec{\imath},~\vec{\jmath}\big)$. + Διέρχεται από το σημείο A$(-3,\,0)$ και δέχεται ως ασύμπτωτη της ευθεία + $(\delta)$ με εξίσωση $y = 2x -5$. +\end{minipage} +\begin{minipage}[t][][b]{.45\linewidth} + \null + \begin{tikzpicture}[scale=0.5,>=latex] + \draw[very thin,color=gray] (-3,-2) grid (10,8); + \draw[->] (-3,0) -- (10,0) node[above left] {\small $x$}; + \foreach \x in {-3,-2,-1,1,2,...,9} + \draw[shift={(\x,0)}] (0pt,1pt) -- (0pt,-1pt)node[below] { $\x$}; + \draw[->] (0,-2) -- (0,8) node[below right] {\small $y$}; + \foreach \y/\ytext in {-2,-1,1,2,...,8} + \draw[shift={(0,\y)}] (1pt,0pt) -- (-1pt,0pt) node[left] { $\y$}; + \draw (-0.5,-2) -- (10,8); + \node[above right] at (-3,0) {\textbf{A}}; + \node[above right] at (0,0) {\textbf{O}}; + \node[below right] at (4,3) {$\mathbf{\Delta}$}; + \node[above right] at (4,5) {$\mathbf{\Gamma}$}; + \draw plot[smooth] coordinates{% + (-3,0)(-2,4.5)(-1,6.5)(0,5.5)(1,3.5)(2,3)(3,3.4)(4,4.5)(5,6)(6,7.75)}; + \end{tikzpicture} +\end{minipage} + +\vspace{20pt} +\begin{alterqcm}[VF,pre=true,lq=125mm] + \AQquestion{Για κάθε $x \in (-\infty,\,2],\;f^{\prime}(x) \geqslant 0$.} + \AQquestion{Η συνάρτηση $F$ παρουσιάζει μέγιστο στο $2$} + \AQquestion{$\displaystyle\int_{0}^2 f’(x)\:\text{d}x = - 2$} +\end{alterqcm} +%\greekalph %%% <---------------------------------------------- + +\end{document} diff --git a/obsolete/macros/latex/contrib/alterqcm/examples/latex/language.tex b/obsolete/macros/latex/contrib/alterqcm/examples/latex/language.tex new file mode 100644 index 0000000000..f844a8a186 --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/examples/latex/language.tex @@ -0,0 +1,39 @@ +\documentclass[12pt]{article} +\usepackage[utf8]{inputenc} +\usepackage[upright]{fourier} +%\usepackage[T1]{fontenc} +%\usepackage{lmodern} +\usepackage[german]{alterqcm} +\usepackage{fullpage}% +\usepackage[frenchb]{babel} +\parindent0pt + +\begin{document} + + \begin{alterqcm} [language=english] + \AQquestion{Question}{% + {Proposition 1}, + {Proposition 2}, + {Proposition 3}} +\end{alterqcm} + +\begin{alterqcm} [language=german] + \AQquestion{Question}{% + {Proposition 1}, + {Proposition 2}, + {Proposition 3}} +\end{alterqcm} + +\begin{alterqcm} + \AQquestion{Question}{% + {Proposition 1}, + {Proposition 2}, + {Proposition 3}} +\end{alterqcm} + +\end{document} + +% encoding : utf8 +% format : pdflatex +% engine : pdfetex +% author : Alain Matthes
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/alterqcm/examples/latex/points.tex b/obsolete/macros/latex/contrib/alterqcm/examples/latex/points.tex new file mode 100644 index 0000000000..49a3a2e958 --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/examples/latex/points.tex @@ -0,0 +1,23 @@ +\documentclass[a4paper,10 pt]{article} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage[upright]{fourier} +\usepackage{alterqcm} +\usepackage[np]{numprint} +\usepackage[francais]{babel} + +\begin{document} +\AQpoints[0.5 cm]{10} + +\begin{alterqcm}[symb = \dingsquare, lq=6cm] +\AQquestion{Si \np{3,24} est la troncature de $x$ au centième, alors on est sûr que :} +{{\begin{minipage}[t]{\linewidth-1cm}$3,235\leqslant x <3,245$\\ + \end{minipage}} , + {\begin{minipage}[t]{\linewidth-1cm} $3,24\leqslant x <3,25$\\ + \end{minipage}} , + {\begin{minipage}[t]{\linewidth-1cm} + $x$ est plus près de \np{3,24} que de \np{3,25} + \end{minipage}}} +\end{alterqcm} + +\end{document}
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/alterqcm/examples/latex/sep.tex b/obsolete/macros/latex/contrib/alterqcm/examples/latex/sep.tex new file mode 100644 index 0000000000..f4a24b335b --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/examples/latex/sep.tex @@ -0,0 +1,31 @@ +\documentclass{article} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{fourier} +\usepackage{alterqcm} +\usepackage{fullpage} +\thispagestyle{empty} + +\begin{document} + + +\begin{alterqcm}[lq=55mm,alea,sep] +\AQquestion[pq=1mm]{Si la fonction $f$ est strictement croissante sur $\mathbf{R}$ alors l'équation $f(x) = 0$ admet :} +{{Au moins une solution},% +{Au plus une solution},% +{Exactement une solution}} +\end{alterqcm} + +\vspace{1cm} +\begin{alterqcm}[lq=55mm,alea,sep=false] +\AQquestion[pq=1mm]{Si la fonction $f$ est strictement croissante sur $\mathbf{R}$ alors l'équation $f(x) = 0$ admet :} +{{Au moins une solution},% +{Au plus une solution},% +{Exactement une solution}} +\end{alterqcm} + +\end{document} + +% utf8 +% pdflatex +% Alain Matthes
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/alterqcm/examples/latex/transparent-final.tex b/obsolete/macros/latex/contrib/alterqcm/examples/latex/transparent-final.tex new file mode 100644 index 0000000000..a982229672 --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/examples/latex/transparent-final.tex @@ -0,0 +1,40 @@ +\documentclass[11pt]{article} +\usepackage[utf8]{inputenc}% sauf si vous avez changé l'encodage +\usepackage[T1]{fontenc} +\usepackage{lmodern} +\usepackage{amsmath,amssymb,stmaryrd,calc}%}% pour geqslant qui existe ds fourier +\usepackage{xkeyval} +\usepackage{multirow,longtable} +\usepackage[% + a4paper,% + textwidth=16cm, + top=2cm,% + bottom=2cm,% + headheight=25pt,% + headsep=12pt,% + footskip=25pt]{geometry}% + +\usepackage{alterqcm} +% on charge le package +% longtable en cas de débordement du tableau +% amsmath car les exemples sont des annales du bac en mathématiques. +\usepackage[frenchb]{babel} +\parindent=0pt +\begin{document} + +\begin{alterqcm}[transparent,correction,corsymb=\dingchecksquare,lq=100mm] + \AQquestion[br=3,pq=3mm]{Parmi les propositions suivantes, quelle est celle qui permet d'affirmer que la fonction exponentielle admet pour asymptote la droite d'équation $y = 0$ ?} + {{$\displaystyle\lim_{x \to +\infty} \dfrac{\text{e}^x}{x} = + \infty$}, + {$\displaystyle\lim_{x \to +\infty} \text{e}^x = + \infty$}, + {$\displaystyle\lim_{x \to -\infty} \text{e}^x = 0$} + } + + \AQquestion[br=2]{exp$(\ln x) = x$ pour tout $x$ appartenant à } + {{$\mathbf{R}$}, + {$\big]0~;~+ \infty\big[$}, + {$\big[0~;~+\infty\big[$} + } +\end{alterqcm} + + +\end{document}
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/alterqcm/examples/latex/transparent-init.tex b/obsolete/macros/latex/contrib/alterqcm/examples/latex/transparent-init.tex new file mode 100644 index 0000000000..f3a6204d63 --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/examples/latex/transparent-init.tex @@ -0,0 +1,41 @@ +\documentclass[11pt]{article} +\usepackage[utf8]{inputenc}% sauf si vous avez changé l'encodage +\usepackage[T1]{fontenc} +\usepackage{lmodern} +\usepackage{amsmath,amssymb,stmaryrd,calc}%}% pour geqslant qui existe ds fourier +\usepackage{xkeyval} +\usepackage{multirow,longtable} +\usepackage[% + a4paper,% + textwidth=16cm, + top=2cm,% + bottom=2cm,% + headheight=25pt,% + headsep=12pt,% + footskip=25pt]{geometry}% + +\usepackage{alterqcm} +% on charge le package +% longtable en cas de débordement du tableau +% amsmath car les exemples sont des annales du bac en mathématiques. +\usepackage[frenchb]{babel} +\parindent=0pt +\begin{document} + +\begin{alterqcm}[correction,corsymb=\dingchecksquare,lq=100mm] +\AQquestion[br=3,pq=3mm]{Parmi les propositions suivantes, quelle est celle qui permet d'affirmer que la fonction exponentielle admet pour asymptote la droite d'équation $y = 0$ ?} +{{$\displaystyle\lim_{x \to +\infty} \dfrac{\text{e}^x}{x} = + \infty$}, +{$\displaystyle\lim_{x \to +\infty} \text{e}^x = + \infty$}, +{$\displaystyle\lim_{x \to -\infty} \text{e}^x = 0$} +} + +\AQquestion[br=2]{exp$(\ln x) = x$ pour tout $x$ appartenant à } +{{$\mathbf{R}$}, +{$\big]0~;~+ \infty\big[$}, +{$\big[0~;~+\infty\big[$} +} + +\end{alterqcm} + + +\end{document}
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/alterqcm/examples/latex/verb.tex b/obsolete/macros/latex/contrib/alterqcm/examples/latex/verb.tex new file mode 100644 index 0000000000..207f9ca694 --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/examples/latex/verb.tex @@ -0,0 +1,150 @@ + +\documentclass[10pt]{article} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{fourier} +\usepackage{alterqcm} +\usepackage{fullpage} +\usepackage{longtable} +\usepackage{verbdef} +\usepackage[frenchb]{babel} + +\pagestyle{empty} +%-------------------------------------------------------------- +\begin{document} +%-------------------------------------------------------------- +\parindent=0pt +\begin{center} +Contrôle de langage C \\ + +\vspace{5mm} +Nom : \hspace{5cm} +Prénom : \\ + +\vspace{5mm} +{\small Pour chaque question, 3 réponses sont proposées. Une et une seule est correcte. A vous de la trouver et de \textbf{noircir la case correspondante}. +Bonne réponse = +1 point. Pas de réponse = 0 point. Mauvaise réponse = -0.5 point.} +\begin{alterqcm}[lq=90mm,title,num=true,alea,long] +% rajouter ou enlever l'option correction pour voir ou non les corrections :-) +%-------------------------------------------------------------- + +\AQquestion{Quel était le langage précurseur du langage C ?} +{{le Fortran},% + {le langage B},% + {le Basic},% + {X},% + {Y}} +%-------------------------------------------------------------- +\verbdef\arg|int a = 3 ^ 4 ;| +\AQquestion{\arg} +{{élève 3 à la puissance 4}, + {fait un OU exclusif entre 3 et 4}, + {n'est pas une instruction C}} +%-------------------------------------------------------------- +\AQquestion{Quelle est la bonne syntaxe pour décaler de 8 bits à gauche l'entier \texttt{a} ?} +{{\texttt{b = lshift(a, 8) ;}}, + {\texttt{b = 8 << a ;}}, + {\texttt{b = a << 8 ;}}} +%-------------------------------------------------------------- +\AQquestion{Le programme complet : \\ +\texttt{int main() \\ +~~\{ printf ("bonjour") ; return 0 ; \}}} +{{affiche \texttt{bonjour}}, + {donne une erreur à la compilation}, + {donne une erreur à l'exécution}} +%-------------------------------------------------------------- +\verbdef\arg|float tab[10]| +\verbdef\propa|*tab|\global\let\propa\propa +\verbdef\propb|&tab|\global\let\propb\propb +\verbdef\propc|tab|\global\let\propc\propc +\AQquestion{Soit la déclaration \arg ; \\Le premier réel du tableau est \ldots} +{{\propa}, + {\propb}, + {\propc}} +%-------------------------------------------------------------- +\AQquestion{La ligne \texttt{printf("\%c", argv[2][0]) ;} du \texttt{main} de \texttt{monProg} exécuté ainsi : \texttt{monProg parametre}} +{{affiche \texttt{p}}, + {n'affiche rien}, + {peut provoquer un plantage}} +%-------------------------------------------------------------- +\AQquestion{Quelle est la taille en mémoire d'un \texttt{long int} ?} +{{4 octets}, + {8 octets}, + {ça dépend \ldots}} +%-------------------------------------------------------------- +\AQquestion{Suite à la déclaration \texttt{int * i} ;} +{{\texttt{*i} est une adresse}, + {\texttt{*i} est un entier}, + {\texttt{*i} est un pointeur}} +%-------------------------------------------------------------- +\AQquestion{Suite à la déclaration \texttt{char tab[12]} ;} +{{\texttt{\&tab} est l'adresse du tableau}, + {\texttt{\&tab} est le pointeur sur le tableau}, + {\texttt{\&tab} ne signifie rien}} + +%-------------------------------------------------------------- +\AQquestion{Un des choix suivants n'est pas une bibliothèque standard du C} +{{\texttt{stdlib}}, + {\texttt{stdin}}, + {\texttt{math}}} +%-------------------------------------------------------------- +\AQquestion{La syntaxe complète de la fonction \texttt{main} est \ldots} +{{\texttt{int main(int argc, char* argv)}}, + {\texttt{int main(int argc, char argv*[])}}, + {\texttt{int main(int argc, char* argv[])}}} +%-------------------------------------------------------------- +\AQquestion{Le programme complet : +\texttt{int main()\\ +\{ char a[2]="x" ; char b[2]="y" ; \\ +~~return (a[0] == b[0]) ; \} +}} +{{comporte 0 erreur}, + {comporte 1 erreur}, + {comporte 2 erreurs}} + +%-------------------------------------------------------------- +\AQquestion{Pour libérer une zone mémoire allouée dynamiquement en C, on utilise la fonction \ldots} +{{\texttt{delete}}, + {\texttt{clear}}, + {\texttt{free}}} + +%-------------------------------------------------------------- +\AQquestion{L'expression \texttt{val char[32] ; }} +{{est syntaxiquement incorrecte}, + {déclare une chaîne}, + {déclare un tableau}} + + %-------------------------------------------------------------- +\verbdef\arga|char s[10] ; int i ;| +\verbdef\argb|scanf("%d, %s", \&i, s) ;| +\AQquestion{On compte dans les lignes suivantes :\\ +\arga \\ +\argb} +{{0 erreur de compilation}, + {1 erreur de compilation}, + {2 erreurs de compilation}} +%-------------------------------------------------------------- +\AQquestion{Une variable globale est \ldots} +{{\texttt{static}}, + {stockée dans la pile}, + {initialisée avec des zéros par défaut}} +%-------------------------------------------------------------- +\AQquestion{La portée d'une variable locale est \ldots} +{{la fonction}, + {le module}, + {le bloc}} +%-------------------------------------------------------------- +\AQquestion{La ligne \texttt{int c = argv[1] + argv[2] ;} + du \texttt{main} de \texttt{monProg} exécuté ainsi : +\verb!monProg 123 456!} +{{affecte 579 à \texttt{c}}, + {donne une erreur à la compilation}, + {affecte une valeur indéterminée à \texttt{c}}} +\end{alterqcm} +\end{center} +\end{document} + +% utf8 +% pdflatex +% Pascal Bertolino Alain Matthes +%
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b/obsolete/macros/latex/contrib/alterqcm/examples/pdf/transparent-init.pdf diff --git a/obsolete/macros/latex/contrib/alterqcm/examples/pdf/verb.pdf b/obsolete/macros/latex/contrib/alterqcm/examples/pdf/verb.pdf Binary files differnew file mode 100644 index 0000000000..5aa921d21c --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/examples/pdf/verb.pdf diff --git a/obsolete/macros/latex/contrib/alterqcm/latex/alterqcm.sty b/obsolete/macros/latex/contrib/alterqcm/latex/alterqcm.sty new file mode 100644 index 0000000000..80d2d9517b --- /dev/null +++ b/obsolete/macros/latex/contrib/alterqcm/latex/alterqcm.sty @@ -0,0 +1,575 @@ +% Copyright (C) 2019 Alain Matthes, Apostolos Syropoulos, and Anastasios Dimou +% Copyright (C) 2009 Alain Matthes +% This file may be distributed and/or modified +% +% 1. under the LaTeX Project Public License , either version 1.3 +% of this license or (at your option) any later version and/or +% 2. under the GNU Public License. +% See http://www.latex-project.org/lppl.txt for details. +% +% + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % % + % alterqcm.sty encodage : utf8 % + % % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % % + % Créé par Alain Matthes le 19-09-2006. % + % % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%% Objet : Création de qcm +%% Utilisation +%% \AQquestion{question} +%% {{proposition}, +%% {proposition}} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{alterqcm}[2019/06/24 v4.1] + \newcount\locall@ng% to set language specific strings: +% % 0 stands for French, 1 for English, 2 for German, and 3 for Greek + \locall@ng=0% + \DeclareOption{french}{% + \def\aqlabelforquest{Questions}% + \def\aqlabelforrep{R\'eponses}% + \def\aqfoottext{suite sur la page suivante\ldots}}% + \DeclareOption{english}{% + \locall@ng=1% + \def\aqlabelforquest{Questions} + \def\aqlabelforrep{Answers} + \def\aqfoottext{Continued on the next page\ldots}}% + \DeclareOption{german}{% + \locall@ng=2% + \def\aqlabelforquest{Fragen}% + \def\aqlabelforrep{Antworten}% + \def\aqfoottext{Fortsetzung nächste Seite\ldots}}% + \DeclareOption{greek}{% + \locall@ng=3% + \def\aqlabelforquest{Ερωτήσεις} + \def\aqlabelforrep{Απαντήσεις} + \def\aqfoottext{Συνεχίζεται στην επόμενη σελίδα\ldots}}% +\ExecuteOptions{french} +\ProcessOptions\relax +\RequirePackage{xkeyval}[2005/11/25] +\RequirePackage{calc} +\RequirePackage{ifthen} +\RequirePackage{array} +\RequirePackage{multirow} +\RequirePackage{pifont}%v v1.00 +%<---------------------------------------------------------------> +% from RANDOM.TEX v.1 (Donald Arseneau) +%<---------------------------------------------------------------> +\newcount\aq@randomi % the random number seed (while executing) +\newcounter{aq@identRow} +\newcounter{aq@identCol} +\newcount\aq@tmp +\def\aqutil@empty{} +\global\aq@randomi\catcode`\@ % scratch variable during definitions +\catcode`\@=11 + +\def\nextrandom{\begingroup + \ifnum\aq@randomi<\@ne % then initialize with time + \global\aq@randomi\time + \global\multiply\aq@randomi388 \global\advance\aq@randomi\year + \global\multiply\aq@randomi31 \global\advance\aq@randomi\day + \global\multiply\aq@randomi97 \global\advance\aq@randomi\month + \message{Randomizer initialized to \the\aq@randomi.}% + \nextrandom \nextrandom \nextrandom + \fi + \count@ii\aq@randomi + \divide\count@ii 127773 % modulus = multiplier * 127773 + 2836 + \count@\count@ii + \multiply\count@ii 127773 + \global\advance\aq@randomi-\count@ii % random mod 127773 + \global\multiply\aq@randomi 16807 + \multiply\count@ 2836 + \global\advance\aq@randomi-\count@ + \ifnum\aq@randomi<\z@ \global\advance\aq@randomi 2147483647\relax\fi + \endgroup +} + +\countdef\count@ii=2 % use only in boxes! +\ifx\@tempcnta\undefined \csname newcount\endcsname \@tempcnta \fi +\ifx\@tempcntb\undefined \csname newcount\endcsname \@tempcntb \fi + +\def\setrannum#1#2#3{% count register, minimum, maximum + \@tempcnta#3\advance\@tempcnta-#2\advance\@tempcnta\@ne + \@tempcntb 2147483645 % = m - 2 = 2^{31} - 3 + \divide\@tempcntb\@tempcnta + \getr@nval + \advance\aq@ranval#2\relax + #1\aq@ranval +} + +\def\getr@nval{% The values in \@tempcnta and \@tempcntb are parameters + \nextrandom + \aq@ranval\aq@randomi \advance\aq@ranval\m@ne \divide\aq@ranval\@tempcntb + \ifnum\aq@ranval<\@tempcnta\else \expandafter\getr@nval \fi +} + +\catcode`\@=\aq@randomi +\global\aq@randomi=0 +\newcount\aq@ranval +%<---------------------------------------------------------------> +\newtoks\aq@tdml@a +\newtoks\aq@tdml@b +\newcount\aq@alea +\newcount\aq@n@arg +\newbox\aq@tempbox +\newdimen\aq@hauteurquest +\newdimen\aq@hauteurprop +\newdimen\aq@wdquest +\newdimen\aq@wdprop +\newdimen\aq@dimtmpa +\newdimen\aq@dimtmpb +\newdimen\aq@dimtmp +\newcounter{AQ@numquestion}\setcounter{AQ@numquestion}{0}% +\newcounter{aq@numb} +\newcounter{AQ@numprop}\setcounter{AQ@numprop}{0}% v0.93 +\newcounter{alea@numfirst} +\newcounter{alea@numlast} +\newcommand\points[1]{% +\marginpar{% +\begin{tabular}{|c|} + \hline + \textbf{#1}\\ + \hline\\ + \hline +\end{tabular}}} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% Début Code QCM +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\ifcase\locall@ng +\def\cmdAQ@global@tone{Questions} +\def\cmdAQ@global@ttwo{R\'eponses} +\def\aqfoottext{suite sur la page suivante\ldots} +\or +\def\cmdAQ@global@tone{Questions} +\def\cmdAQ@global@ttwo{Answers} +\def\aqfoottext{Continued on the next page\ldots} +\or +\def\cmdAQ@global@tone{Fragen} +\def\cmdAQ@global@ttwo{Antworten} +\def\aqfoottext{Fortsetzung nächste Seite\ldots} +\or +\def\cmdAQ@global@tone{Ερωτήσεις} +\def\cmdAQ@global@ttwo{Απαντήσεις} +\def\aqfoottext{Συνεχίζεται στην επόμενη σελίδα\ldots} +\fi% +\define@cmdkey [AQ] {global} {lq}{} +\define@cmdkey [AQ] {global} {pq}{} +\define@cmdkey [AQ] {global} {points}{} +\define@cmdkey [AQ] {global} {symb}{} +\define@cmdkey [AQ] {global} {corsymb}{} +\define@cmdkey [AQ] {global} {bonus}{} +\define@cmdkey [AQ] {global} {malus}{} +\define@cmdkey [AQ] {global} {numstyle}{} +\define@cmdkey [AQ] {global} {propstyle}{} +\define@cmdkey [AQ] {global} {size}{} +\define@cmdkey [AQ] {global} {tone}{} +\define@cmdkey [AQ] {global} {ttwo}{} +\define@cmdkey [AQ] {global} {numbreak}{} +\define@cmdkey [AQ] {global} {afterpreskip}{} +\define@boolkey [AQ] {global} {transparent}[true]{} +\define@boolkey [AQ] {global} {VF} [true]{} +\define@boolkey [AQ] {global} {sep} [true]{} +\define@boolkey [AQ] {global} {pre} [true]{} +\define@boolkey [AQ] {global} {title} [true]{} +\define@boolkey [AQ] {global} {long} [true]{} +\define@boolkey [AQ] {global} {num} [true]{} +\define@boolkey [AQ] {global} {numprop} [false]{} +\define@boolkey [AQ] {global} {nosquare} [false]{} +\define@boolkey [AQ] {global} {correction} [true]{} +\define@boolkey [AQ] {global} {alea} [true]{} +\presetkeys [AQ] {global} { + lq = 100mm, + pq = 0pt, + points = {}, + sep = false, + pre = false, + bonus = {0,5}, + malus = {0,25}, + VF = false, + long = false, + symb = $\square$, + corsymb = $\blacksquare$, + afterpreskip = \medskip, + num = true, + transparent = false, + nosquare = false, + correction = false,%v1.00 + numstyle = \arabic, + propstyle = \alph,% v0.93 + numprop = false,% v0.93 + size = {}, %3.7 same size la fonte + title = true, + ttwo = \aqlabelforrep, + tone = \aqlabelforquest, + numbreak = 0, + alea = false}{} +\define@cmdkey[AQ]{local}{pq}{} +\define@cmdkey[AQ]{local}{br}{} +\presetkeys[AQ]{local}{br=5,pq= \cmdAQ@global@pq}{}% +% +\ifcase\locall@ng +\newcommand{\aq@pre}{Pour chacune des questions ci-dessous, une seule des r\'eponses propos\'ees est exacte. Vous devez cocher la r\'eponse exacte sans justification. +Une bonne r\'eponse rapporte \textbf{\cmdAQ@global@bonus\ point}. Une mauvaise r\'eponse enl\`eve \textbf{\cmdAQ@global@malus\ point}. L'absence de r\'eponse ne rapporte ni n'enl\`eve aucun point. Si le total des points est n\'egatif, la note globale attribu\'ee \`a l'exercice est \textbf{0}.}% +% +\newcommand{\aq@preVF}{Pour chacune des affirmations ci-dessous, cocher la case V (l'affirmation est vraie) ou la case F (l'affirmation est fausse) sur l'ANNEXE, \`a rendre avec la copie. Les r\'eponses ne seront pas justifi\'ees. +Une bonne r\'eponse rapporte \textbf{\cmdAQ@global@bonus\ point}. Une mauvaise r\'eponse enl\`eve \textbf{\cmdAQ@global@malus\ point}. L'absence de r\'eponse ne rapporte ni n'enl\`eve aucun point. Si le total des points est n\'egatif, la note globale attribu\'ee \`a l'exercice est \textbf{0}.}% +\or +\newcommand{\aq@pre}{For each of the questions below, only one of the proposed answers is true. You must choose the right answer without justification.}% +\newcommand{\aq@preVF}{For each of the statements below, check the \textbf{T} box (the statement is true) or the \textbf{F} box (the statement is false).}% +\or +\newcommand{\aq@pre}{Für jede der unterstehenden Fragen ist nur eine der vorgeschlagenen Antworten richtig. +Kreuzen Sie die richtige Antwort ohne Begründung an.}% +\newcommand{\aq@preVF}{Für jede der unterstehenden Aussagen kreuzen Sie R (für die richtige Aussage) und F (für die falsche Aussage) an.}% +\or +\newcommand{\aq@pre}{Από τις επόμενες προτάσεις επιλέξετε αυτήν, που θεωρείτε σωστή.}% +\newcommand{\aq@preVF}{Να επιλέξετε \textbf{Σ}(ωστό), αν θεωρείτε την πρόταση που δίνεται παρακάτω σωστή, ή \textbf{Λ}(άθος) αν την θεωρείτε λανθασμένη.}% +\fi +% +\newcommand*{\AQms}{\aq@ms}% +\def\aq@ms(#1,#2){\vrule height #1pt depth #2pt width 0pt} +\newcommand*{\altersquare}{\vbox{\hrule\hbox to 6pt{\vrule height 5.2pt \hfil\vrule}\hrule}}% +\newcommand*{\dingsquare}{\ding{114}}% +\newcommand*{\dingchecksquare}{\mbox{\ding{114}\hspace{-.7em}\raisebox{.2ex}[1ex]{\ding{51}}}} +\newcommand*{\aq@style@title}{\textbf}% +\newcommand*{\aq@style@numquest}{\textbf}% +\newcommand*{\aq@style@numrep}{\textbf}% +\newcommand{\aq@title}{% +\hline% + \hfil{\aq@style@title{\cmdAQ@global@tone}}\hfil% + & \hfil{\aq@style@title{\cmdAQ@global@ttwo}}\hfil\\ \hline% + \ifAQ@global@long \endfirsthead +\hline + \hfil{\aq@style@title{\cmdAQ@global@tone}}\hfil% + & \hfil{\aq@style@title{\cmdAQ@global@ttwo}}\hfil\\ \hline% +\endhead +& \raisebox{-1em}\hfill{\emph{\aqfoottext}} \\ \hline +\endfoot +\endlastfoot\fi +}% + +\newcommand{\AQmessage}[1]{% +\multicolumn{2}{|l|}{% +\begin{minipage}{\textwidth-\tabcolsep*2-\arrayrulewidth*2}% +#1 +\end{minipage}}\\ \hline% +}% + +\newcommand{\aq@melange}{% +\setrannum{\aq@alea}{1}{\value{aq@numb}}% + \ifcase\aq@alea% + \or + \global\let\aq@tempfirst\aq@arga + \or + \global\let\aq@tempfirst\aq@argb + \or + \global\let\aq@tempfirst\aq@argc + \or + \global\let\aq@tempfirst\aq@argd + \or + \global\let\aq@tempfirst\aq@arge + \fi +\setcounter{alea@numfirst}{\aq@alea}% +\setrannum{\aq@alea}{1}{\value{aq@numb}}% + \ifcase\aq@alea% + \or + \global\let\aq@templast\aq@arga + \or + \global\let\aq@templast\aq@argb + \or + \global\let\aq@templast\aq@argc + \or + \global\let\aq@templast\aq@argd + \or + \global\let\aq@templast\aq@arge + \fi +\setcounter{alea@numlast}{\aq@alea}% +\global\let\aq@temp\aq@tempfirst% +\global\let\aq@tempfirst\aq@templast% +\global\let\aq@templast\aq@temp% +\global\expandafter\let\csname aq@arg\alph{alea@numfirst}% +\endcsname\aq@tempfirst% +\global\expandafter\let\csname aq@arg\alph{alea@numlast}% +\endcsname\aq@templast% +}% +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand{\aq@hauteurbox}[1]{% +\setbox\aq@tempbox=% +\vbox{\parbox[t]{\textwidth-\tabcolsep*4-\arrayrulewidth*3-\cmdAQ@global@lq}% +{\cmdAQ@global@symb\quad\mbox{#1}}}% \cmdAQ@global@symb remplace $\square$ +\aq@dimtmpa\ht\aq@tempbox\relax% +\aq@dimtmpb\dp\aq@tempbox\relax% +\advance\aq@dimtmpa by\aq@dimtmpb}% +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand{\aq@adjust}[1]{% +\setbox\aq@tempbox=% +\vbox{% +\parbox[t]{\cmdAQ@global@lq}{\aq@style@numquest{\number\value{AQ@numquestion}.}\hspace{3pt}#1}}% +\aq@dimtmpa\ht\aq@tempbox +\aq@dimtmpb\dp\aq@tempbox +\aq@wdquest\wd\aq@wdquest +\advance\aq@dimtmpa by\aq@dimtmpb\relax% +\aq@hauteurquest=\aq@dimtmpa +\aq@hauteurbox{\aq@arga}% +\aq@hauteurprop=\aq@dimtmpa +\aq@hauteurbox{\aq@argb}% +\advance\aq@hauteurprop by\aq@dimtmpa\relax% +\ifnum\value{aq@numb}>2\relax +\aq@hauteurbox{\aq@argc}% +\advance\aq@hauteurprop by\aq@dimtmpa\relax\fi +\ifnum\value{aq@numb}>3\relax +\aq@hauteurbox{\aq@argd}% +\advance\aq@hauteurprop by\aq@dimtmpa\relax\fi +\ifnum\value{aq@numb}>4\relax +\aq@hauteurbox{\aq@arge}% +\advance\aq@hauteurprop by\aq@dimtmpa\relax\fi +\ifdim\aq@hauteurquest<\aq@hauteurprop% +\global\aq@dimtmp=0pt +\aq@dimtmpa\ht\aq@tempbox +\aq@dimtmpb\dp\aq@tempbox +\advance\aq@dimtmpa by3pt +\advance\aq@dimtmpb by2pt +\vrule height\aq@dimtmpa depth\aq@dimtmpb width0pt +\else +\advance\aq@hauteurquest by-\aq@hauteurprop +\divide\aq@hauteurquest by\theaq@numb\relax +\divide\aq@hauteurquest by2\relax% +\global\aq@dimtmp=\aq@hauteurquest\fi +}% +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand{\aq@prop}[2]{% +\setbox\aq@tempbox=\vbox{#1}% +\aq@wdprop\wd\aq@tempbox +\aq@dimtmpa\ht\aq@tempbox\advance\aq@dimtmpa by4pt\advance\aq@dimtmpa by\aq@dimtmp\relax +\aq@dimtmpb\dp\aq@tempbox\advance\aq@dimtmpb by3pt\advance\aq@dimtmpb by\aq@dimtmp\relax +\ifAQ@global@VF\hfil\fi +\ifAQ@global@transparent\def\cmdAQ@global@corsymb{$\bigcirc$}% +\def\cmdAQ@global@symb{}\fi +\ifAQ@global@numprop\stepcounter{AQ@numprop}% +{\aq@style@numrep{(\cmdAQ@global@propstyle{AQ@numprop})}}% +\else + \ifAQ@global@nosquare + \else% + \ifAQ@global@correction + \def\@stop{1} + \@for\goodrep:=\cmdAQ@local@br\do{% + \ifnum\@stop<6 % + \global\let\mysymb\cmdAQ@global@symb + \ifthenelse{\equal{\goodrep}{#2}}{% + \global\let\mysymb\cmdAQ@global@corsymb \def\@stop{9}}{% + }% + \fi}% + \mysymb\hspace*{6pt}% + \else + \cmdAQ@global@symb\hspace*{6pt}% + \fi + \fi + \fi + \ifAQ@global@transparent + \vrule height0pt depth0pt width\aq@wdprop + \else + \ignorespaces#1% + \fi + \vrule height\aq@dimtmpa depth\aq@dimtmpb width0pt + \ifAQ@global@VF\hfil\fi}% +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand{\AQquestion}[3][]{% +\setkeys[AQ]{local}{#1}% +\stepcounter{AQ@numquestion}% +\setcounter{AQ@numprop}{0} % v0.93 +\setcounter{aq@numb}{0}% +\@for\liste:=#3\do{% +\stepcounter{aq@numb}% +{\ifnum\locall@ng=3\nogreekalph\fi +\global\expandafter\let\csname aq@arg\alph{aq@numb}\endcsname\liste}% +} +\ifAQ@global@alea\ifAQ@global@VF +\else +\aq@n@arg=0 % +\loop\ifnum\aq@n@arg<\value{aq@numb}\aq@melange\advance\aq@n@arg by1\repeat\fi +\fi +\aq@adjust{#2}% +\multirow{1}{\cmdAQ@global@lq}[\cmdAQ@local@pq]{% +\ifAQ@global@num\aq@style@numquest{\cmdAQ@global@numstyle{AQ@numquestion}.}% +\hspace{3pt}\fi +\ifAQ@global@transparent% +\hrule height0pt depth0pt width\aq@wdquest% +\else +#2\vss +\fi + }% +&\setkeys[AQ]{local}{#1}% + \aq@prop{\aq@arga}{1}\\% + \ifAQ@global@sep\cline{2-2}\fi +&\setkeys[AQ]{local}{#1}% + \aq@prop{\aq@argb}{2}\\ + \ifAQ@global@sep\cline{2-2}\fi + \ifnum\value{aq@numb}=2\hline\else\ifAQ@global@sep\cline{2-2}\fi +&\setkeys[AQ]{local}{#1}% + \aq@prop{\aq@argc}{3}\\ + \ifnum\value{aq@numb}=3\hline\else\ifAQ@global@sep\cline{2-2}\fi +&\setkeys[AQ]{local}{#1}% + \aq@prop{\aq@argd}{4}\\ + \ifnum\value{aq@numb}=4\hline\else\ifAQ@global@sep\cline{2-2}\fi +&\setkeys[AQ]{local}{#1}% + \aq@prop{\aq@arge}{5}\\ +\hline\fi\fi\fi}% +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand{\aq@questionVF}[2][]{% +\setkeys[AQ]{local}{#1} +\stepcounter{AQ@numquestion}% +\setcounter{AQ@numprop}{0}% v0.93 +\ifcase\locall@ng +\protected@xdef\aq@arga{\textbf{V}} +\protected@xdef\aq@argb{\textbf{F}} +\or +\protected@xdef\aq@arga{\textbf{T}} +\protected@xdef\aq@argb{\textbf{F}} +\or +\protected@xdef\aq@arga{\textbf{R}} +\protected@xdef\aq@argb{\textbf{F}} +\or +\protected@xdef\aq@arga{\textbf{Σ}} +\protected@xdef\aq@argb{\textbf{Λ}} +\fi +\setcounter{aq@numb}{2}% +\aq@adjust{#2}% +\multirow{3}{\cmdAQ@global@lq}[\cmdAQ@local@pq]{% +\ifAQ@global@num\aq@style@numquest{\cmdAQ@global@numstyle{AQ@numquestion}.}\hspace{3pt}\fi +#2\vss}% + &\setkeys[AQ]{local}{#1}\aq@prop{\aq@arga}{1}\\ +\ifAQ@global@sep \cline{2-2}\fi + &\setkeys[AQ]{local}{#1}\aq@prop{\aq@argb}{2}\\ +\hline}% +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newenvironment{alterqcm}[1][]{% +\ifAQ@global@numprop \setkeys [AQ] {global} {nosquare = true}{}\fi +\setkeys[AQ]{global}{#1}% +\ifx\aqutil@empty\cmdAQ@global@points \else +\points{\cmdAQ@global@points} +\fi +\setcounter{AQ@numquestion}{\cmdAQ@global@numbreak}% +\ifAQ@global@VF\let\AQquestion\aq@questionVF\let\aq@pre\aq@preVF\fi +\ifAQ@global@pre\aq@pre\par\cmdAQ@global@afterpreskip\fi +\ifAQ@global@long% +\setlength\LTleft{0pt}% +\setlength\LTright\fill% +\setlength{\LTpre}{\intextsep}% +\setlength{\LTpost}{\intextsep}% +\begin{longtable}[l]{% +@{}|>{\cmdAQ@global@size}p{\cmdAQ@global@lq}!{\extracolsep{\fill}}% +|>{\cmdAQ@global@size}p{\textwidth-\tabcolsep*4-\arrayrulewidth*3-\cmdAQ@global@lq}|@{}}% + \else + \begin{tabular}{% + @{}|>{\cmdAQ@global@size}p{\cmdAQ@global@lq}% + |>{\cmdAQ@global@size}p{% + \textwidth-\tabcolsep*4-\arrayrulewidth*3-\cmdAQ@global@lq}% + |@{}}% + \fi + \ifAQ@global@title\aq@title\else\hline\fi% +}% +{\ifAQ@global@long + \end{longtable}% + \else + \end{tabular}% + \fi +}% + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% #1 chemin & #2 theme & #3 liste de numéros +% code de JC Charpentier +%----------------------------------------------------------% + +\newcommand\InputQuestionList[3]{% + \aq@tdml@a={}% + \aq@tdml@b={}% + \ifx\relax#3\relax\else + \tdml@#3,\@nil,\expandafter\tdml@clean\the\aq@tdml@a\@nil + \fi + \expandafter\gdef\expandafter\last@val\expandafter{\the\aq@tdml@b}% + \AQ@TA{#1}{#2}{\the\aq@tdml@a}% + \AQ@TB{#1}{#2}{\last@val}} +%----------------------------------------------------------% +\long\def\tdml@#1,{% + \ifx\@nil#1\relax + \else + \expandafter\addtotoks\the\aq@tdml@b,\to\aq@tdml@a + \aq@tdml@b={#1}% + \expandafter\tdml@ + \fi +} +%----------------------------------------------------------% +\long\def\addtotoks#1\to#2{% + #2=\expandafter{\the#2#1}% +}% +%----------------------------------------------------------% +\long\def\tdml@clean,#1\@nil{% + \ifx\relax#1\relax + \aq@tdml@a{}% + \else + \tdml@@clean#1\@nil + \fi +} +%----------------------------------------------------------% +\long\def\tdml@@clean#1,\@nil{% + \aq@tdml@a{#1}% +}% +%----------------------------------------------------------% +%----------------------------------------------------------% +\newcommand\AQ@TA[3]{\@for\nb:=#3\do{% +\input #1#2\nb}% +}% +\newcommand\AQ@TB[3]{\input#1#2#3}% +%----------------------------------------------------------% +% from forloop.sty +\newcommand{\aq@forLoop}[5][1] +{% +\setcounter{#4}{#2}% +\ifthenelse{\value{#4}<#3}% +{#5\addtocounter{#4}{#1}% +\aq@forLoop[#1]{\value{#4}}{#3}{#4}{#5}% +}% +{\ifthenelse{\value{#4}=#3}% +{#5}{}}}% + +%----------------------------------------------------------% +\def\aq@tvi(#1,#2){\vrule height #1pt depth #2pt width 0pt} +\define@cmdkey [AQ] {ann} {propstyle}[true]{} +\define@boolkey[AQ] {ann} {VF}[true]{} +\presetkeys [AQ] {ann} {propstyle = \arabic, + VF = false}{} +\newcommand*{\AQannexe}[4][]{% +\setkeys[AQ]{ann}{#1}% +\aq@tmp=#4 % +\advance\aq@tmp by 1 % +\begin{tabular}{*{\number\aq@tmp}{|>{\hfill}c}|}\hline% + \ifAQ@ann@VF% +N&V&F% + \else +N\aq@forLoop{1}{#4}{aq@identCol}% + {& \cmdAQ@ann@propstyle{aq@identCol}}\fi +\tabularnewline\hline% +\aq@forLoop{#2}{#3}{aq@identRow} + {\number\value{aq@identRow}&% + \aq@forLoop{2}{\number\aq@tmp}{aq@identCol}% + {$\ $% + \ifthenelse{\equal{\value{aq@identCol}}{#4}}{}{&}% + }% +\tabularnewline\hline}% +\end{tabular}% +}% +%----------------------------------------------------------% +\newcommand\AQpoints[1]{% +\marginpar{% +\begin{tabular}{|c|} + \hline + \textbf{#1}\\ + \hline\\ + \hline +\end{tabular}}} +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/pgfornament/README b/obsolete/macros/latex/contrib/tkz/pgfornament/README new file mode 100644 index 0000000000..687ffdeb5e --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/pgfornament/README @@ -0,0 +1,38 @@ +2016/03/05 + +This package allows the drawing of Vectorian ornaments (196) with pgf/tikz. +The documentation presents the syntax and parameters of the macro "pgfornament". + +This archive contains : + +-- this document; +-- the documentation (0.21) of pgfornament (0.21); +-- the documentation (0.2) of tikzrput (0.2); +-- the package pgfornament.sty; +-- the package tikzrput.sty; +-- the folder vectorian; (with 196 elements); +-- the folder am; (with 2 elements); +-- the folder examples; +-- thes files pgflibraryvectorian.code.tex pgflibraryam.code.tex. + +About tikzrput package : +This package contains the rput macro that can be used to place objects. This macro does similar actions of the rput macro from pstricks. Here this macro needs tikz to work +This archive contains : + +-- the documentation (0.2) of tikzrput (0.2) with the source; +-- the package tikzrput.sty. + +This material is subject to the LaTeX Project Public License. +See https://www.ctan.org/license/lppl1.3 for the details of that license. + +Corrections : +Pgfornament.sty 0.21 Christian Feuersänger thank you for seeing this bug + + ornament/at now replaces the key at (conflict with at from pgf) + +Documentation 0.21 Peter Zimmermann thank you for seeing these bugs +page 5 example code the ornament had number "2" instead "1" +page 23 some ornaments seem to be identic. + +New section Problem to describe some difficulties + diff --git a/obsolete/macros/latex/contrib/tkz/pgfornament/doc/TeX_box.png b/obsolete/macros/latex/contrib/tkz/pgfornament/doc/TeX_box.png Binary files differnew file mode 100644 index 0000000000..8d47372b5a --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/pgfornament/doc/TeX_box.png diff --git 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b/obsolete/macros/latex/contrib/tkz/pgfornament/doc/ornaments.tex new file mode 100644 index 0000000000..ed35826269 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/pgfornament/doc/ornaments.tex @@ -0,0 +1,2200 @@ +\documentclass[a4paper]{tufte-handout} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\PassOptionsToPackage{dvipsnames,svgnames}{xcolor} +\usepackage{graphicx,rotating} +\usepackage[object=vectorian]{pgfornament} +\usepackage{tkzexample,tikzrput,pict2e,picture} +\usetikzlibrary{shapes.geometric,calc} +\usepackage{eso-pic,calc} +\usepackage{fancyvrb} +\fvset{fontsize=\normalsize} +\hypersetup{% +pdfauthor = {Alain Matthes}, +pdftitle = {pgfornament}, +pdfsubject = {Documentation de pgfornament}, +colorlinks=true, +linkcolor=orange, +urlcolor=orange} + +\renewenvironment{theindex} + {\renewcommand\item{\par\hangindent 40pt} + \renewcommand\subitem{\item\hspace*{20pt}} + \renewcommand\subsubitem{\item\hspace*{30pt}} + \renewcommand\indexspace{\par \vskip 10pt plus 5pt minus 3pt\relax} + \section{\indexname} + \begin{multicols}{2}% + \parindent=0pt + \small% + } + {\end{multicols}% + } + +\makeatletter +\AddToShipoutPicture{% + \begingroup + \setlength{\@tempdima}{2mm}% + \setlength{\@tempdimb}{\paperwidth-\@tempdima-2cm}% + \setlength{\@tempdimc}{\paperheight-\@tempdima}% + \put(\LenToUnit{\@tempdima},\LenToUnit{\@tempdimc}){% + \pgfornament[color=Maroon,anchor=north west,width=2cm]{63}} + \put(\LenToUnit{\@tempdima},\LenToUnit{\@tempdima}){% + \pgfornament[color=Maroon,anchor=south west,width=2cm,symmetry=h]{63}} + \put(\LenToUnit{\@tempdimb},\LenToUnit{\@tempdimc}){% + \pgfornament[color=Maroon,anchor=north east,width=2cm,symmetry=v]{63}} + \put(\LenToUnit{\@tempdimb},\LenToUnit{\@tempdima}){% + \pgfornament[color=Maroon,anchor=south east,width=2cm,symmetry=c]{63}} + \endgroup +} +\let\strippt\strip@pt +\makeatother +\newcommand{\eachpageornament}{% +\begin{picture}(0,0) +\put(0,0){\pgfornament[width=1cm]{41}}; +\put(\strippt\textwidth,0){\pgfornament[width=1cm,symmetry=v]{41}}; +\put(0,-\strippt\textheight){\pgfornament[width=1cm,symmetry=h]{41}}; +\put(\strippt\textwidth,-\strippt\textheight){\pgfornament[width=1cm,symmetry=c]{41}}; % +\end{picture}} +\title{The Ornaments package \thanks{Inspired by P.Fradin (psvectorian)}} + +\author{Alain Matthes} + +\usepackage{fourier,lmodern} + +%\geometry{showframe} % display margins for debugging page layout + +\setkeys{Gin}{width=\linewidth,totalheight=\textheight,keepaspectratio} +\graphicspath{{graphics/}} % set of paths to search for images + +\usepackage{amsmath,lipsum} % extended mathematics +\usepackage{array,booktabs} % book-quality tables +\usepackage{multicol} % multiple column layout facilities +\usepackage[babel=true]{microtype} +\usepackage[english]{babel} + +% Standardize command font styles and environments +\newcommand{\docparen}[1]{\ensuremath{(#1)}}% optional command argument + +\definecolor{fondpaille}{cmyk}{0,0,0.1,0} +\pagecolor{fondpaille} +\color{Maroon} +\colorlet{graphicbackground}{fondpaille} +\colorlet{numbackground}{fondpaille} +\colorlet{codebackground}{Periwinkle!10} +\colorlet{codeonlybackground}{Periwinkle!10} +\colorlet{textcodecolor}{MidnightBlue} % Maroon +\colorlet{numcolor}{gray} +\newcommand*{\tkzname}[1]{\textbf{\texttt{\textcolor{Maroon}{#1}}}} +\newcommand*{\PGF}{\tkzname{PGF}} +\newcommand*{\TIKZ}{\tkzname{Ti\emph{k}Z}} +\newcommand*{\pdf}{\textsc{pdf}} +\newcommand*{\pgfname}{\textsc{pgf}} +\newcommand*{\tikzname}{Ti\emph{k}Z} +\newcommand*{\pstricks}{\textsc{pstricks}} % +\newcommand*{\tkzAttention}[3]{\ \\\llap{\textcolor{#3}{#1\hskip #2}}} +\newcommand*{\tkzHand}{\ \\\llap{\textcolor{red}{\lefthand\hskip1em}}} +\newcommand*{\tkzHandBomb}{\ \\\llap{\textcolor{red}{\lefthand\ \bomb\hskip1em}}} +\newcommand*{\tkzBomb}{\ \\\llap{\textcolor{red}{\bomb\hskip1em}}} +\newcommand*{\tkzTwoBomb}{\ \\\llap{\textcolor{red}{\bomb\ \bomb\hskip1em}}} +\newcommand*{\tkzimp}[1]{\textbf{#1}} +\newcommand*{\tkzcname}[1]{\textbf{\texttt{\textcolor{Maroon}{\textbackslash#1}}}} +\newcommand*{\tkzhname}[1]{\textbf{\texttt{\textcolor{Maroon}{\textbackslash#1}}}} + + +% Macros for typesetting the documentation +\newcommand{\hlred}[1]{\textcolor{Maroon}{#1}}% prints in red +\newcommand{\hangleft}[1]{\makebox[0pt][r]{#1}} +\newcommand{\hairsp}{\hspace{1pt}}% hair space +\newcommand{\hquad}{\hskip0.5em\relax}% half quad space +\newcommand{\TODO}{\textcolor{red}{\bf TODO!}\xspace} + +\newcommand{\tuftebs}{\symbol{'134}}% a backslash in tt type in OT1/T1 +\newcommand{\doccmdnoindex}[2][]{\texttt{\tuftebs#2}}% command name -- adds backslash automatically (and doesn't add cmd to the index) +\newcommand{\doccmddef}[2][]{% + \hlred{\texttt{\tuftebs#2}}\label{cmd:#2}% + \ifthenelse{\isempty{#1}}% + {% add the command to the index + \index{#2 command@\protect\hangleft{\texttt{\tuftebs}}\texttt{#2}}% command name + }% + {% add the command and package to the index + \index{#2 command@\protect\hangleft{\texttt{\tuftebs}}\texttt{#2} (\texttt{#1} package)}% command name + \index{#1 package@\texttt{#1} package}\index{packages!#1@\texttt{#1}}% package name + }% +}% command name -- adds backslash automatically + +\newcommand{\doccmd}[2][]{% + \texttt{\tuftebs#2}% + \ifthenelse{\isempty{#1}}% + {% add the command to the index + \index{#2 command@\protect\hangleft{\texttt{\tuftebs}}\texttt{#2}}% command name + }% + {% add the command and package to the index + \index{#2 command@\protect\hangleft{\texttt{\tuftebs}}\texttt{#2} (\texttt{#1} package)}% command name + \index{#1 package@\texttt{#1} package}\index{packages!#1@\texttt{#1}}% package name + }% +}% command name -- adds backslash automatically + +\newcommand{\docopt}[1]{\ensuremath{\protect\langle}\textrm{\textit{#1}}\ensuremath{\protect\rangle}}% optional command argument + +\newcommand{\docarg}[1]{\textrm{\textit{#1}}}% (required) command argument + +\newenvironment{docspec}{\begin{quotation}\ttfamily\parskip0pt\parindent0pt\ignorespaces}{\end{quotation}}% command specification environment + +\newcommand{\docdist}[1]{\texttt{#1}\index{#1 distribution@\texttt{#1} distribution}\index{distributions!#1@\texttt{#1}}}% environment name + +\newcommand{\docenv}[1]{\texttt{#1}\index{#1 environment@\texttt{#1} environment}\index{environments!#1@\texttt{#1}}}% environment name + +\newcommand{\docenvdef}[1]{\hlred{\texttt{#1}}\label{env:#1}\index{#1 environment@\texttt{#1} environment}\index{environments!#1@\texttt{#1}}}% environment name + +\newcommand{\docoption}[2]{\texttt{#1}\index{#1 option@\texttt{#1} option}\index{options(#2)!#1@\texttt{#1}}}% package name + +\newcommand{\docpkg}[1]{\texttt{#1}\index{#1 package@\texttt{#1} package}\index{packages!#1@\texttt{#1}}}% package name + +\newcommand{\doccls}[1]{\texttt{#1}}% document class name + +\newcommand{\docclsopt}[1]{\texttt{#1}\index{#1 class option@\texttt{#1} class option}\index{class options!#1@\texttt{#1}}}% document class option name + +\newcommand{\docclsoptdef}[1]{\hlred{\texttt{#1}}\label{clsopt:#1}\index{#1 class option@\texttt{#1} class option}\index{class options!#1@\texttt{#1}}}% document class option name defined + +\newcommand{\docmsg}[2]{\bigskip\begin{fullwidth}\noindent\ttfamily#1\end{fullwidth}\medskip\par\noindent#2} + +\newcommand{\docfilehook}[2]{\texttt{#1}\index{file hooks!#2}\index{#1@\texttt{#1}}} +\newcommand{\doccounter}[1]{\texttt{#1}\index{#1 counter@\texttt{#1} counter}} + +\newcommand{\docStyle}[1]{\texttt{#1}\index{#1 style(\TIKZ)@\texttt{#1} style(\TIKZ)}\index{styles(\TIKZ)!#1@\texttt{#1}}}% package name + +\newcommand*{\Imacro}[1]{\index{#1_1@\texttt{\textbackslash#1}}}%n + +\newcommand{\docfamily}[1]{\texttt{#1}\index{#1 family@\texttt{#1} family}\index{families!#1@\texttt{#1}}}% package name + +\newcommand{\docvo}[1]{\texttt{#1}\index{#1 vector ornament@\texttt{#1} vector ornament}\index{vector ornaments!#1@\texttt{#1}}}% package name +\usepackage{makeidx} +\makeindex + + + + +\begin{document} + +\maketitle + +\begin{abstract} +\noindent\lefthand\ ((Version 0.21) + +This document describes the \LaTeX\ package \emph{\docpkg{pgfornament}} and presents the syntax and parameters of the macro "pgfornament". +It also provides examples and comments on the package's use. Firstly, I would like to thank {Till \textsc{Tantau}} for the beautiful \LaTeX\ package, namely \TIKZ. +I am grateful to Vincent \textsc{Le Moign} for allowing us to distribute the ornaments \sidenote{ \url{http://www.vectorian.net/} (free sample)} in the format Pstricks and \PGF/\TIKZ. +I would like to thank also {Enrico \textsc{Gregorio}} for some great ideas used in this package. You will find at the end of this document the 196 symbols provided with the package. +Next to the document you are reading, you will find documentation on the package \emph{\docpkg{tikzrput}}. +\end{abstract} + + +\vspace{1cm} +\hfil \pgfornament[width=4cm]{84}\hfil +% + \tableofcontents +% + \vspace{1cm} +\hfil \pgfornament[width=4cm]{84}\hfil + +\newpage + +\vspace{1cm} +\hfil \pgfornament[width=4cm]{84}\hfil + +\listoffigures + +\vspace{1cm} +\hfil \pgfornament[width=4cm]{84}\hfil +\newpage +\vspace{1cm} +\hfil \pgfornament[width=4cm]{84}\hfil + +\listoftables + +\vspace{1cm} +\hfil \pgfornament[width=4cm]{84}\hfil +\newpage + + + + + +\section{How to install the package} % (fold) +\label{sec:how_to_install} +With \docdist{TeXLive}, if you need to install it by yourself, a TDS compliant zip archive is +provided (pgfornament.zip). Just download that file, and unpack it in +your TDS directory (~/texmf for Unix-like systems). +\begin{itemize} + \item \docpkg{pgfornament} must to be in \texttt{~/texmf/tex/latex} + \item pgflibraryvectorian.code.tex must to be in \texttt{~/texmf/tex/latex} + \item pgflibraryam.code.tex must to be in \texttt{~/texmf/tex/latex} + \item the folder vectorian must to be in \texttt{~/texmf/tex/generic} + \item the folder am must to be in \texttt{~/texmf/tex/generic} +\end{itemize} + + + +With \docdist{MiKTeX}, copy folder {\color{black}\texttt{pgfornament}} into \verb+C:\texmf\tex\latex+, then +run {\color{red}\texttt{MiKTeX Options}} . In the {\color{black}\texttt{File name database}} section, click on {\color{red}\texttt{Refresh now}}. + +% section how_to_install (end) +\section{How to use the package} % (fold) +\label{sec:how_to_use} +You only need to add \\ +{\color{black}\verb+\usepackage{ornament}+} \\ or \\{\color{black}\verb+\usepackage[object=vectorian]{ornament}+}\\ + in your preamble. The pgfornament package loads \TIKZ. + + Without any options, ornament package uses the \docfamily{vectorian} symbols. If you want to use other symbols, you give the name of the list of symbols like this : \\ +{\color{black}\verb+\usepackage[object=am]{ornament}+}.\\ + I create \docfamily{am} to show you how to create new symbols and how to use it (see the section \ref{am1def}). + You can see below, the minimum code to get a vector ornament. + \colorlet{graphicbackground}{blue!10!white}% +\colorlet{codebackground}{red!10}% + +\begin{figure}% +{\begin{center} +\begin{tkzexample}[code only,small] + \documentclass{scrartcl} + \usepackage{pgfornament} + \begin{document} + \pgfornament[width = 2cm, + color = red]{1} + \end{document} +\end{tkzexample} +\end{center}} +\caption{Minimal code for vectorian ornaments} + \label{fig:marginfig} +\end{figure} + +\begin{marginfigure}% +\begin{center} + \pgfornament[width = 2cm, + color = red]{1} +\end{center} +\caption{Result of the minimal code} +\end{marginfigure} + +% section how_to_use (end) + +\newpage +\section{The main macro} % (fold) +\label{sec:the_main_macro} + + +The macro \doccmd{pgfornament} draws the object linked to the given number, with the vectorian family this number is between $1$ and now $196$. This macro can be used alone, or inside a picture. It's defined by an environment \emph{\docenv{tikzpicture}} placed at the current point. + +The objects displayed depend of the option used when \doccmd{pgfornament} is called. +The specifications of the {\color{red}\Verb|\pgfornament|} command is: +\begin{docspec} + \color{black} \doccmd{pgfornament[\docopt{options}]\{\docarg{number}\}} +\end{docspec} + +The result is a picture defined by a \emph{\docenv{tikzpicture}} environment. + +\subsection{Number argument} % (fold) +\label{sub:arg_number} +The number designs an object of a list by a rank. With you get the figure \ref{fig:o1} +\begin{tkzexample}[code only,width=5cm,small] + \usepackage{ornament} + ... + \pgfornament[width=2cm]{1} +\end{tkzexample} + + +\begin{marginfigure} + you get the figure \ref{fig:o2} + + \begin{center} + \pgfornament[width=2cm]{1} +\end{center} + \caption{Vectorian ornament n° 1} + \label{fig:o1} +\end{marginfigure} + +\medskip + with +\begin{tkzexample}[code only,width=5cm,small] + \usepackage{ornament} + ... + \pgfornament[width=2cm]{2} +\end{tkzexample} + + +\begin{marginfigure} + you get + + \begin{center} + \pgfornament[width=2cm]{2} +\end{center} + \caption{Vectorian ornament n° 2} + \label{fig:o2} +\end{marginfigure} + +\medskip +and with +\begin{tkzexample}[code only,width=5cm,small] + \usepackage[object=am]{ornament} + ... + \pgfornament[width=4cm]{1} +\end{tkzexample} + +\begin{marginfigure} + you get the figure \label{fig:o2} + +\begin{tikzpicture} +\pgftransformscale{.3} +\pgfpathmoveto{\pgfqpoint{0bp}{0bp}} +\pgfpathcurveto{\pgfqpoint{50bp}{0bp}}{\pgfqpoint{150bp}{0bp}}{\pgfqpoint{200bp}{16bp}} +\pgfpathcurveto{\pgfqpoint{250bp}{0bp}}{\pgfqpoint{350bp}{0bp}}{\pgfqpoint{400bp}{0bp}} +\pgfpathlineto{\pgfqpoint{400bp}{1bp}} +\pgfpathcurveto{\pgfqpoint{350bp}{0bp}}{\pgfqpoint{250bp}{0bp}}{\pgfqpoint{200bp}{22bp}} +\pgfpathcurveto{\pgfqpoint{150bp}{0bp}}{\pgfqpoint{50bp}{0bp}}{\pgfqpoint{0bp}{1bp}} +\pgfpathlineto{\pgfqpoint{0bp}{0bp}} +\pgfusepath{fill,stroke} +\end{tikzpicture} + \caption{am ornament n° 1} + \label{fig:o3} +\end{marginfigure} +% subsection Number_argument (end) + +\subsection{Argument and options} % (fold) +\label{sub:the_options} +The macro has six options. You have four possibilities for the last option \Verb+symmetry+. +The next table describes these options. + +\begin{table}[h]\index{pgfornament!options} +{ \small \begin{tabular}{lll} + \toprule + name & default & definition \\ +\midrule +\docoption{scale}{pgfornament} & 1 & ratio of height to width is unchanged\\ +\docoption{width}{pgfornament} & \{\} & set the width, ratio unchanged \\ +\docoption{height}{pgfornament} & \{\} & set the height, ratio unchanged \\ +\docoption{color}{pgfornament} & black & color of the ornament \\ +\docoption{opacity}{pgfornament} & 1 & nb inf 1, opacity of the ornament \\ +\docoption{ydelta}{pgfornament} & 0 pt & value to adjust vertically the ornament \\ +\docoption{symmetry=v}{pgfornament} & none & vertical symmetry\\ +\docoption{symmetry=h}{pgfornament} & none & horizontal symmetry \\ +\docoption{symmetry=c}{pgfornament} & none & central symmetry \\ +\docoption{symmetry=none}{pgfornament} & none & no symmetry by default \\ +\bottomrule +\end{tabular} } +\caption{List of options for the pgfornament macro.} + \label{tab:pgfornament-options} +\end{table} +% subsection the_options (end) +\newpage + +\subsection{Examples of the use of options } % (fold) +\label{sub:examples} +\begin{enumerate}\setlength{\itemsep}{30pt} +\item Option \docoption{scale}{pgfornament} +\begin{tkzexample}[code only,small] + \pgfornament[scale=0.25]{77} +\end{tkzexample} +\begin{marginfigure} + \pgfornament[scale=0.25]{77} +\end{marginfigure} +\item Option \docoption{width}{pgfornament} +\begin{tkzexample}[code only,small] + \pgfornament[width=5cm]{77} +\end{tkzexample} +\begin{marginfigure} + \pgfornament[width=5cm]{77} +\end{marginfigure} +\item Option \docoption{height}{pgfornament} +\begin{tkzexample}[code only,small] +\pgfornament[height=1cm]{77} +\end{tkzexample} +\begin{marginfigure} + \pgfornament[height=1cm]{77} +\end{marginfigure} +\item Option \docoption{color}{pgfornament} +\begin{tkzexample}[code only,small] +\pgfornament[height=1cm,color=green!20!black]{77} +\end{tkzexample} +\begin{marginfigure} +\pgfornament[height=1cm,color=green!20!black]{77} +\end{marginfigure} +\item Option \docoption{opacity}{pgfornament} +\begin{tkzexample}[code only,small] +\pgfornament[height=1cm,color=green!20!black,opacity=0.2]{77} +\end{tkzexample} +\begin{marginfigure} +\pgfornament[height=1cm,color=green!20!black,opacity=0.2]{77} +\end{marginfigure} +\item Option \docoption{symmetry=h}{pgfornament} +\begin{tkzexample}[code only,small] +\pgfornament[height=1cm,symmetry=h]{77} +\end{tkzexample} +\begin{marginfigure} +\pgfornament[height=1cm,symmetry=h]{77} +\end{marginfigure} +\item Option \docoption{symmetry=v}{pgfornament} +\begin{tkzexample}[code only,small] +\pgfornament[height=1cm,symmetry=v]{77} +\end{tkzexample} +\begin{marginfigure} +\pgfornament[height=1cm,symmetry=v]{77} +\end{marginfigure} +\item Option \docoption{symmetry=c}{pgfornament} +\begin{tkzexample}[code only,small] +\pgfornament[height=1cm,symmetry=c]{77} +\end{tkzexample} +\begin{marginfigure} + \pgfornament[height=1cm,symmetry=c]{77} +\end{marginfigure} +\end{enumerate} +% subsection examples (end) + +% section the_main_macro (end) +%\newthought{The pgfornament package} defines a macro. + + +\subsection{Examples of symmetry} % (fold) +\label{sub:examples_of_symmetry} +\setlength{\fboxsep}{0pt} +\begin{enumerate} + \item Symmetry vertical axis +\tikzset{pgfornamentstyle/.style={draw=green!20!black, + fill=orange,fill opacity=.5,thick}}% + + \begin{figure} + \fbox{\pgfornament[width=5cm]{2}}% + \pgfornament[width=5cm,symmetry=v]{2} + \caption{Vertical symmetry} + \end{figure} + + + \item Symmetry horizontal axis +\tikzset{pgfornamentstyle/.style={draw=green!20!black, + fill=orange,fill opacity=.5,thick}}% + + \begin{figure} + \fbox{\pgfornament[width=5cm]{2}}% + \pgfornament[width=5cm,symmetry=h]{2} + \caption{Horizontal symmetry} + \end{figure} + + \item Symmetry with respect to the origin +\tikzset{pgfornamentstyle/.style={draw=green!20!black, + fill=orange,fill opacity=.5,thick}}% + + \fbox{\pgfornament[width=5cm]{2}}% + + \hspace*{5cm} + \begin{figure} + \pgfornament[width=5cm,symmetry=c]{2}% + \caption{Central symmetry} + \end{figure} +\end{enumerate} +% subsection examples_of_symmetry (end) + +\vspace{30pt} +\subsection{Option \docoption{ydelta}{pgfornament}} % (fold) +\label{sub:examples_with_other_options} + + +\begin{tkzexample}[code only,small] + \pgfornament[color=MidnightBlue,width=2cm,ydelta=-10pt]{25}% + \pgfornament[color=PineGreen,width=2cm]{25}% + \pgfornament[color=Periwinkle,width=2cm,ydelta=+10pt]{25}% +\end{tkzexample} + + + +\begin{marginfigure}% + \pgfornament[color=MidnightBlue,width=2cm,ydelta=-10pt]{25}% + \pgfornament[color=PineGreen,width=2cm]{25}% + \pgfornament[color=Periwinkle,width=2cm,ydelta=+10pt]{25}% + \caption{How to use tkzname{ydelta}} +\end{marginfigure} + +% subsection examples_with_other_options (end) + +\vspace{5cm} +\subsection{Option \docoption{color}{pgfornament}} % (fold) +\label{sub:examples_with_color_option} + + +\begin{tkzexample}[code only,small] + \pgfornament[color=MidnightBlue,width=2cm]{24}% +\end{tkzexample} + + + \begin{marginfigure} + \pgfornament[color=MidnightBlue,width=4cm]{24}% + \caption{How to use tkzname{color}} + \end{marginfigure} + +\subsection{Style \docStyle{pgfornamentstyle}} % (fold) +This style can modify some options like the color and also how to fill the symbol when it's possible. +\begin{tkzexample}[code only,small] +\begin{tikzpicture} + \tikzset{pgfornamentstyle/.style={ + fill=SpringGreen, + fill opacity=.5, + line width=1pt}}% + \pgfornament[color=OliveGreen,scale=2,anchor=south]{24}% +\end{tikzpicture} +\end{tkzexample} + +\begin{marginfigure}% +\begin{tikzpicture} + \tikzset{pgfornamentstyle/.style={ + fill=SpringGreen, + fill opacity=.5, + line width=1pt}}% + \pgfornament[color=OliveGreen,scale=2,anchor=south]{24}% +\end{tikzpicture} +\caption{How to use the style \tkzname{pgfornamentstyle}} +\end{marginfigure} + +\vspace{30pt} +\subsection{Advanced options from \docpkg{\TIKZ} } % (fold) +\label{sub:advanced_options} + +\begin{tkzexample}[code only] +\begin{tikzpicture} + \tikzset{pgfornamentstyle/.style={draw=Periwinkle, + fill=SpringGreen}}% + \node[draw=Periwinkle,circle,anchor=center, + inner sep=0pt,fill=GreenYellow] at (0,0){% + \pgfornament[anchor=center,scale=2]{24}}; +\end{tikzpicture} +\end{tkzexample} + +\begin{center} + \begin{figure} + \begin{tikzpicture} + \tikzset{pgfornamentstyle/.style={draw=Periwinkle, + fill=SpringGreen}}% + \node[draw=Periwinkle,circle,anchor=center,inner sep=0pt,fill=GreenYellow] at (0,0){% + \pgfornament[anchor=center,scale=2]{24}}; + \end{tikzpicture} + \caption{How to add \TIKZ ' styles} + \end{figure} +\end{center} + + +% +% +\newpage +\section{What is a (pgf)ornament?} % (fold) +\label{sec:what_is_a_pgf_ornament} +When you write in your document \Verb|\pgfornament{1}|, you get the first ornament of a family (by default \docfamily{vectorian}'s family). This ornament is a vector object defined by an environment \emph{\docenv{tikzpicture}}. + +\begin{tkzexample}[code only,small] +\begin{tikzpicture}[% + baseline={([yshift=\pgfornamentydelta]% + current bounding box.\pgfornamentanchor)}, + pgfornamentstyle] + \pgftransformscale{\pgfornamentscale}% + \pgf@@ornament{#2}% +\end{tikzpicture}% +\end{tkzexample} + +\medskip +You can modify the aspect of the picture if you change \doccmd{pgfornamentscale}, or \docStyle{pgfornamentstyle}. With \doccmd{pgfornamentydelta}, or \doccmd{pgfornamentanchor} you can move the picture but this depends on the different environments. The next code gives the picture \ref{fig:minimum}. I chose this method so that the use is as simple as possible. + +\begin{tkzexample}[code only,small] + \documentclass{scrartcl} + \usepackage{pgfornament} + \begin{document} + \pgfornament{1} + \end{document} +\end{tkzexample} + +\begin{marginfigure} + \pgfornament[anchor=center,scale=1]{1} + \caption{Minimal code to get an ornament} + \label{fig:minimum} +\end{marginfigure} + +\medskip +The ornament is placed in a rectangle\sidenote{You can find the dimensions of this shape in the file pgflibraryvectorian.code.tex. The name of this file depends of the name of the vector family By default actually it's \docfamily{vectorian}.}. + +\medskip +\begin{tikzpicture}[every node/.style={inner sep=0pt}] + \tikzset{image/.style={circle, + fill=red, + minimum size = 4pt, + inner sep = 0pt, + outer sep = 1pt} + } + +\node[inner sep = 1cm] (wrapper){\tikz +\node[draw](image) {\pgfsetfillopacity{0.2}\pgfornament{1}};}; + +\foreach \ancre in {north,north east,east,south east,south,south west,west,north west,east} +{% + \node [image] (i\ancre) at (image.\ancre) {}; + \node [outer sep=2pt] (w\ancre) at (wrapper.\ancre) {\small\ancre}; + \draw [red,->,>=stealth] (w\ancre)--(i\ancre); + } + \node[image,label=below:{\tiny center}] at (wrapper.center) {}; +\end{tikzpicture} + +On the last figure, I represent all the anchors \index{anchors} that you can use. Now you will see how to place this picture on a page, in the flow of text or inside a complex picture. +% section what_is_a_pgf_ornament (end) +\unitlength=1pt +\newpage +\noindent\eachpageornament +% +% +% +% +% + +\section{Placing a vector ornament on a page} % (fold) +\label{sec:placement_on_a_page} +\subsection{On each page with the package \docpkg{eso-pic}} % (fold) +\label{sub:with_the_package_eso_pic} + +You may have noticed the existence of an ornament placed at each corner of the pages. The next code explains how to do this. The only part of the code linked to \docpkg{pgfornament} is to use the macro \doccmd{pgfornament}. To put the object at the right place on the page, we need to consider its width. + +Perhaps you saw the ornaments in each corner of each page +% section placement_on_a_page (end) +I used the package \docpkg{eso-pic} and the next code. The macro \doccmd{put} places the ornament at a point but you need to change correctly the anchor. + +\begin{tkzexample}[code only,small] +\usepackage{eso-pic} +\makeatletter +\AddToShipoutPicture{% +\begingroup +\setlength{\@tempdima}{2mm}% +\setlength{\@tempdimb}{\paperwidth-\@tempdima-2cm}% +\setlength{\@tempdimc}{\paperheight-\@tempdima}% +\put(\LenToUnit{\@tempdima},\LenToUnit{\@tempdimc}){% + \pgfornament[anchor=north west,width=2cm]{63}} +\put(\LenToUnit{\@tempdima},\LenToUnit{\@tempdima}){% + \pgfornament[anchor=south west,width=2cm,symmetry=h]{63}} +\put(\LenToUnit{\@tempdimb},\LenToUnit{\@tempdimc}){% + \pgfornament[anchor=north east,width=2cm,symmetry=v]{63}} +\put(\LenToUnit{\@tempdimb},\LenToUnit{\@tempdima}){% + \pgfornament[anchor=south east,width=2cm,symmetry=c]{63}} +\endgroup +} +\makeatother +\end{tkzexample} \Imacro{AddToShipoutPicture} \Imacro{LenToUnit} \Imacro{anchor} +% subsection with_the_package_eso_pic (end) +\subsection{On one page with the picture environment} % (fold) +\label{sub:with_the_picture_environment} + +The next code is used to delimit the text area on the page defined by the tufte class. +\sidenote{\tkzcname{strippt} is defined by \tkzcname{let}\doccmd{strippt}\doccmd{strip@pt}} +\begin{tkzexample}[code only,small] +\newcommand{\eachpageornament}{% +\unitlength=1pt +\begin{picture}(0,0)% +\put(0,0){\pgfornament[width=1cm]{41}};% +\put(\strippt\textwidth,0){% + \pgfornament[width=1cm,symmetry=v]{41}};% +\put(0,-\strippt\textheight){% + \pgfornament[width=1cm,symmetry=h]{41}};% +\put(\strippt\textwidth,-\strippt\textheight){% + \pgfornament[width=1cm,symmetry=c]{41}};% +\end{picture}}% + +\eachpageornament +\end{tkzexample} +% subsection with_the_picture_environment (end) + +\subsection{With \docpkg{\TIKZ}, the options \tkzname{remember picture} and \tkzname{overlay}} % (fold) +\label{sub:with_tikz_and_the_option_reme} + +% subsection with_tikz_and_the_option_reme (end) +You can without \docpkg{eso-pic} but with \docpkg{\TIKZ}\ get the same result on one page with the next macro. \tkzname{remember picture} is obligatory, this option tells \TIKZ\ that it should attempt to remember the position of the current picture on the page, you need to compile twice if you use such code. The option \tkzname{overlay}\index{overlay}\ switches the computation of the bounding box so the pictures are not in the flow of the text and they don't modify the layout. + +\begin{tkzexample}[code only,small] + \newcommand{\eachpageornament}{% + \begin{tikzpicture}[remember picture, overlay] + \node[anchor=north west] at (current page.north west){% + \pgfornament[width=2cm]{63}}; + \node[anchor=north east] at (current page.north east){% + \pgfornament[width=2cm,symmetry=v]{63}}; + \node[anchor=south west] at (current page.south west){% + \pgfornament[width=2cm,symmetry=h]{63}}; + \node[anchor=south east] at (current page.south east){% + \pgfornament[width=2cm,symmetry=c]{63}}; + \end{tikzpicture} + } +\end{tkzexample} \index{current page} + +\section{Placing a vector ornament in the flow}\label{sec:placing-ornament} +\subsection{\protect\pgfornament[anchor=south,width=1cm]{78}\ Directly \ \protect\pgfornament[anchor=south,width=1cm,symmetry=v]{78}} + % (fold) +\label{sub:directly} + + +The next code show you the effect of different choice of anchor. +\setlength{\fboxsep}{0pt} + +{\color{black}baseline +\pgfsetfillopacity{0.2}% +\fbox{\pgfornament[anchor=south,width=2cm]{69}}% +\fbox{\pgfornament[width=2cm]{69}}% +\fbox{\pgfornament[anchor=north,width=2cm]{69}}% +\pgfsetfillopacity{1} baseline } + +\begin{tkzexample}[code only,small] +{ \color{black}baseline \pgfsetfillopacity{0.2}% + \fbox{\pgfornament[anchor=south,width=2cm]{69}}% + \fbox{\pgfornament[width=2cm]{69}}% + \fbox{\pgfornament[anchor=north,width=2cm]{69}}% + \pgfsetfillopacity{1} baseline } +\end{tkzexample} +% subsection directly (end) + +\medskip +\noindent Perhaps you are interesting by the code to modify the subsection? + + +\begin{tkzexample}[code only,small] +\subsection{\protect\pgfornament[anchor=south,width=1cm]{78}\ + Directly \ + \protect\pgfornament[anchor=south,width=1cm,symmetry=v]{78}} +\end{tkzexample} + +\subsection{In the flow with \TIKZ} % (fold) +\label{sub:in_the_flow_with_tikz} + + +\medskip +Generally, the best way is to place the ornament inside a node and the node inside an environment \emph{tikzpicture}. You can need to specify the position of the node inside the \emph{\docenv{tikzpicture}} and you can add an anchor to place exactly the ornament like you want. + +\begin{marginfigure} + \begin{center} + \begin{tikzpicture} + \foreach \a in {0,45,...,315} + \node[anchor=west,rotate=\a,inner sep=0pt,xshift=12pt] {% + \pgfornament[width=1cm]{88}}; + \end{tikzpicture} + \end{center} + \caption{Assembling of ornaments version 2} +\end{marginfigure} + +\begin{tkzexample}[code only,small] + \begin{tikzpicture} + \foreach \a in {0,45,...,315} + \node[anchor=west,rotate=\a,inner sep=0pt,xshift=12pt] {% + \pgfornament[width=1cm]{88}}; +\end{tikzpicture} +\end{tkzexample} + +\begin{marginfigure} + \begin{center} + \begin{tikzpicture} + \foreach \a in {0,45,...,315} + \node[anchor=west,rotate=\a,inner sep=0pt] {% + \pgfornament[width=1cm]{88}}; + \end{tikzpicture} + \end{center} + \caption{Assembling of ornaments version 1} +\end{marginfigure} + + +\begin{tkzexample}[code only,small] + \begin{tikzpicture} + \foreach \a in {0,45,...,315} + \node[anchor=west,rotate=\a,inner sep=0pt] {% + \pgfornament[width=1cm]{88}}; +\end{tikzpicture} +\end{tkzexample} + + +% subsection in_the_flow_with_tikz (end) + +\medskip +\emph{Remark : It's difficult to get the same result with \emph{\doccmd{put}} and \emph{\doccmd{rotatebox}} but it's easy with the \emph{\docpkg{rotating}} package.} + +\begin{marginfigure} + \begin{center} +\foreach \a in {0,45,...,315}{% + \turnbox{\a}{\pgfornament[width=1cm]{88}}}% + \end{center} +\end{marginfigure} + + +\begin{tkzexample}[code only,small] + \foreach \a in {0,45,...,315}{% + \turnbox{\a}{\pgfornament[width=1cm]{88}}}% +\end{tkzexample} + + +\newpage + +\section{Ornament inside a node} % (fold) + +This method is very useful and flexible because it's possible to use the options and styles with the command \doccmd{node}. You can modify the style \docoption{pgfornamentstyle}{pgfornament} \sidenote{I you want to rest the style you can use \doccmd{resetpgfornamentstyle}}. + +\begin{tkzexample}[code only,small] +\tikzset{pgfornamentstyle/.style={% + draw=green!20!black,inner sep=0pt,fill=orange, + fill opacity=.5,scale=2,ultra thick}}% + \tikz\node {\fbox{\pgfornament{3}}}; +\end{tkzexample} + +\begin{figure} +\tikzset{pgfornamentstyle/.style={draw=green!20!black,inner sep=0pt, + fill=orange,fill opacity=.5,scale=2,ultra thick}}% +\tikz\node {\fbox{\pgfornament{3}}}; +\caption{Style with node} +\end{figure} + +{\textcolor{red}{\lefthand\hskip1em}} If we use a tikzpicture inside the flow then it's very useful to know how to place the picture. The important part of the code is : \\ + +\begin{tkzexample}[code only,small] + \tikz[baseline=(current bounding box.south)] +\end{tkzexample} \index{current bounding box} + + \medskip +{\textcolor{red}{\lefthand\hskip1em}} Don't forget to use \tkzname{inner sep =0pt}\index{inner sep} because you can get undesirable space around the object.\\ + +\begin{tkzexample}[code only,small] +baseline\tikz[baseline] +\node[inner sep=0pt]{\fbox{\pgfornament[width=2cm]{3}}}; +baseline +\tikz[baseline=(current bounding box.south)] +\node[inner sep=0pt]{\fbox{\pgfornament[width=2cm]{3}}}; +baseline +\tikz[baseline=(current bounding box.north)] +\node[inner sep=0pt]{\fbox{\pgfornament[width=2cm]{3}}}; +baseline +\end{tkzexample} \index{baseline} + +\begin{figure} + baseline\tikz[baseline]\node[inner sep=0pt] {\fbox{\pgfornament[width=2cm]{3}}};% + baseline\tikz[baseline=(current bounding box.south)]\node[inner sep=0pt] {\fbox{\pgfornament[width=2cm]{3}}};% + baseline\tikz[baseline=(current bounding box.north)]\node[inner sep=0pt] {\fbox{\pgfornament[width=2cm]{3}}};baseline + \caption{Node in the flow} +\end{figure} + + +\newpage +\section{One ornament between two nodes} +I created an option for the \emph{\tkzname{to}} command\index{to}. You only need to call an ornament with \Verb+ornament=number+. + +\begin{docspec} + \color{black}\Verb+\draw+ (A) \Verb+to+ [\Verb+object+ = \docopt{number}] (B) ; +\end{docspec} +\resetpgfornamentstyle %\Imacro{resetpgfornamentstyle} + +\subsection{How to use \emph{\tkzname{to [ornament= ...]}}} % (fold) +\label{sub:how_to_use_} + +This code shows how to place an ornament between to node. The width of the ornament is automatically calculate. + +\begin{tkzexample}[code only,small] +\begin{tikzpicture} +\node (A) at (0,0) {}; +\node (B) at (5,2) {}; +\draw [help lines,color=Maroon!60] (0,0) grid (5,2); +\draw [fill=Maroon!30] (A) circle (2pt) (B) circle (2pt); +\draw [orange] (A) to [ornament=88] (B); +\end{tikzpicture} +\end{tkzexample} + +\begin{marginfigure}[-3cm] +\begin{tikzpicture} +\node (A) at (0,0) {}; +\node (B) at (5,2) {}; +\draw [help lines,color=Maroon!60] (0,0) grid (5,2); +\draw [fill=Maroon!30] (A) circle (2pt) (B) circle (2pt); +\draw [orange] (A) to [ornament=88] (B); +\end{tikzpicture} +\caption{One ornament between two nodes} +\end{marginfigure} +% subsection how_to_use_ (end) + +\medskip +The next code shows how to place two ornaments between two nodes. + +\begin{tkzexample}[code only,small] + \begin{tikzpicture} + \node (A) at (0,0) {}; + \node (B) at (5,2) {}; + \draw [help lines,color=Maroon!60] (0,0) grid (5,2); + \draw [fill=Maroon!30] (A) circle (2pt) (B) circle (2pt); + \path (A)--(B) coordinate[pos=.5] (c1); + \draw [orange] (A) to [ornament=84] + (c1) to [ornament=84] (B); + \end{tikzpicture} +\end{tkzexample} + + +\begin{marginfigure}[-3cm] +\begin{tikzpicture} +\node (A) at (0,0) {}; +\node (B) at (5,2) {}; +\draw [help lines,color=Maroon!60] (0,0) grid (5,2); +\draw [fill=Maroon!30] (A) circle (2pt) (B) circle (2pt); +\path (A)--(B) coordinate[pos=.5] (c1); +\draw [orange] (A) to [ornament=84] + (c1) to [ornament=84] (B); +\end{tikzpicture} +\caption{Two ornaments between two nodes} +\end{marginfigure} + +\medskip +Example with a pentagon + +\begin{tkzexample}[code only,small] + \begin{tikzpicture}[every node={anchor=center, + inner sep=0pt}] + \node[regular polygon, regular polygon sides=5, + rotate=36,minimum size=6cm,inner sep=0pt](s) {}; + \path (s.side 1) to [ornament=83] (s.side 2) + to [ornament=83] (s.side 3) + to [ornament=83] (s.side 4) + to [ornament=83] (s.side 5) + to [ornament=83] (s.side 1); + \end{tikzpicture} +\end{tkzexample} + +\begin{marginfigure} + \begin{tikzpicture}[every node={anchor=center, + inner sep=0pt}] + \node[regular polygon, regular polygon sides=5, + rotate=36,minimum size=6cm,inner sep=0pt](s) {}; + \path (s.side 1) to [ornament=83] (s.side 2) + to [ornament=83] (s.side 3) + to [ornament=83] (s.side 4) + to [ornament=83] (s.side 5) + to [ornament=83] (s.side 1); + \end{tikzpicture} +\caption{A pentagon} +\end{marginfigure} + + \newpage +\subsection{How to use the option \tkzname{ornament/at}} \index{ornament/at} % (fold) +\label{sub:how_to_use_the_option_at} + +It's possible to move the ornament on the line AB. You only need to write \tkzname{at = number} where number is a percent like \tkzname{pos}. +\begin{tkzexample}[code only,small] + \begin{tikzpicture} + \node (A) at (0,0) {}; + \node (B) at (4,0) {}; + \draw [help lines,color=Maroon!60] (0,-1) grid (4,1); + \path (A.center) to [ornament=84,ornament/at=0] (B.center); + \path (A.center) to [ornament=84,ornament/at=1] (B.center); + \end{tikzpicture} +\end{tkzexample} + + +\begin{figure} + \begin{tikzpicture} + \node (A) at (0,0) {}; + \node (B) at (4,0) {}; + \draw [help lines,color=Maroon!60] (0,-1) grid (4,1); + \path (A.center) to [ornament=84,ornament/at=0] (B.center); + \path (A.center) to [ornament=84,ornament/at=1] (B.center); + \end{tikzpicture} + \caption{at} +\end{figure} + + + +% subsection how_to_use_the_option_at (end) + +\subsection{How to use the option \tkzname{options}} % (fold) +\label{sub:how_to_use_the_option_options} + +If an ornament is misplaced we can move it up or down. Look at the code to see how to use \tkzname{options}. \index{options} + +\begin{tkzexample}[code only,small] +\begin{tikzpicture} +\node (A) at (0,0) {}; +\node (B) at (5,2) {}; +\draw [help lines,color=Maroon!40] (0,0) grid (5,2); +\draw [fill=Maroon!20] (A) circle (2pt) (B) circle (2pt); +\path (A.center) to [ornament=84, + options/.append style={yshift=1pt}] (B.center); +\end{tikzpicture} +\end{tkzexample} + +\begin{marginfigure}[-3cm] +\begin{tikzpicture} +\node (A) at (0,0) {}; +\node (B) at (5,2) {}; +\draw [help lines,color=Maroon!40] (0,0) grid (5,2); +\draw [fill=Maroon!20] (A) circle (2pt) (B) circle (2pt); +\path (A.center) to [ornament=84, + options/.append style={yshift=1pt}] (B.center); +\end{tikzpicture} +\caption{How options} +\end{marginfigure} + + +% section ornament_between_two_nodes (end) + +\newpage +\section{Ornaments : Vector Symbols} % (fold) +\label{sec:ornaments_symbols} +Here a list of the first thirty elements + +\newcounter{compt} +\subsection{Symbols part 1} % (fold) +\label{sub:symbol1} +\setcounter{compt}{1}% +\begin{table}[h!]\index{ornament!symbols1} +\loop +\begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1cm]{\thecompt}\hfil\\ +\end{tabular}\par\medskip +\ifnum\thecompt<29 \addtocounter{compt}{1} +\repeat +\caption{List of symbols (part 1).} +\label{tab:ornaments : symbol1} +\end{table} +% subsection symbol1 (end) +% section ornaments_symbols (end) + +\newpage +\subsection{Symbols part 2} % (fold) +\label{sub:symbol2} +The next list is about symbols of decoration. The design is more sophisticated. Be careful indices range from sixty-five to seventy-nine. + +\setcounter{compt}{65}% +\begin{table}[h!]\index{ornament!symbols2} +\loop +\begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1cm]{\thecompt}\hfil\\ +\end{tabular}\par\medskip +\ifnum\thecompt<70 \addtocounter{compt}{1}% +\repeat +\addtocounter{compt}{1} +\begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1cm]{\thecompt}\hfil& \\ +\end{tabular}% + +\addtocounter{compt}{1} +\begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + & &\small{\thecompt)} \hfil\pgfornament[anchor=south,height=1cm]{\thecompt}\hfil\\ +\end{tabular}% + +\addtocounter{compt}{1} +\loop +\begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1cm]{\thecompt}\hfil\\ +\end{tabular}\par\medskip +\ifnum\thecompt<78 \addtocounter{compt}{1} +\repeat +\addtocounter{compt}{1} +\begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1cm]{\thecompt}\hfil& +\end{tabular} +\caption{A list of symbols (part 2).} +\label{tab:ornaments : symbol2} +\end{table} +% subsection symbol1 (end) + + +\newpage +\section{Ornaments : Vector Corners} +\label{sec:corners} +The next list of ornaments concerns objects to place in the corners of a figure. Half of them is not useful because it is obtained by symmetry of the other. + + +\begin{table}[h]\index{ornament!lines} + \setcounter{compt}{31}% + \loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip + \ifnum\thecompt<41 \addtocounter{compt}{1} + \repeat + + \setcounter{compt}{61}% + \loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1.5cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1.5cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip + \ifnum\thecompt<63 \addtocounter{compt}{1} + \repeat + + \setcounter{compt}{97}% + \loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip + \ifnum\thecompt<97 \addtocounter{compt}{1} + \repeat + + \setcounter{compt}{131}% + \loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1.5cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1.5cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip + \ifnum\thecompt<131 \addtocounter{compt}{1} + \repeat + + \setcounter{compt}{194}% + \loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1.5cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1.5cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip + \ifnum\thecompt<194 \addtocounter{compt}{1} + \repeat + + \setcounter{compt}{140}% + \loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,scale=2]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,scale=2]{\thecompt}\hfil\\ + \end{tabular}\par\medskip + \ifnum\thecompt<140 \addtocounter{compt}{1} + \repeat +\caption{A list of corners} +\label{tab:ornaments : corners} +\end{table} + + +\newpage +\section{Ornaments : Vector Lines}\label{sec:lines } +The next list concerns symbols used to make a line. + +\setcounter{compt}{80}% +\begin{table}[h]\index{ornament!lines} +\loop +\begin{tabular}{b{1cm}b{8cm}} +\thecompt)&\hfil\hrule width 0pt depth 0pt height 0.75cm \pgfornament[anchor=south,width=6cm]{\thecompt}\hfil\\ +\end{tabular}\par +\ifnum\thecompt<89 \addtocounter{compt}{1} +\repeat + \caption{A list of lines.} + \label{tab:ornaments : lines} + \end{table} + +\newpage +\section{Ornaments : Animals part 1}\label{sec:animal1 } +The next list concerns symbols with animals. + + +\begin{table}[h]\index{ornament!Animals part 1} + + \setcounter{compt}{90}% + \loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,scale=1.5]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,scale=1.5]{\thecompt}\hfil\\ + \end{tabular}\par\medskip + \ifnum\thecompt<90 \addtocounter{compt}{1} + \repeat + + \setcounter{compt}{100}% + \loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,scale=1.5]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfil\\ + \end{tabular}\par\medskip + \ifnum\thecompt<100 \addtocounter{compt}{1} + \repeat + + \setcounter{compt}{102}% + \loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,scale=1.5]{\thecompt}\hfil& + \addtocounter{compt}{2}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,scale=1.5]{\thecompt}\hfil\\ + \end{tabular}\par\medskip + \ifnum\thecompt<102 \addtocounter{compt}{1} + \repeat + + \setcounter{compt}{106}% + \loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,scale=1.5]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,scale=1.5]{\thecompt}\hfil\\ + \end{tabular}\par\medskip +\ifnum\thecompt<113 \addtocounter{compt}{1} +\repeat + + + \setcounter{compt}{158}% + \loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,scale=1.5]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,scale=1.5]{\thecompt}\hfil\\ + \end{tabular}\par\medskip + \ifnum\thecompt<158 \addtocounter{compt}{1} + \repeat + + \caption{A list of Animals.} + \label{tab:ornaments : animal1} + \end{table} + +\newpage +\section{Ornaments : Animals part 2}\label{sec:animal2 } +The nex list concerns symbols with animals. + + +\begin{table}[h]\index{ornament!Animals part 2} + \setcounter{compt}{100}% + \loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1.5cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfil\\ + \end{tabular}\par\medskip + \ifnum\thecompt<100 \addtocounter{compt}{1} + \repeat + + \setcounter{compt}{122}% + \loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1.5cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1.5cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip + \ifnum\thecompt<122 \addtocounter{compt}{1} + \repeat + + \setcounter{compt}{124}% + \loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1.5cm]{\thecompt}\hfil& + \addtocounter{compt}{37}% + \hfil\small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1.5cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip + \ifnum\thecompt<124 \addtocounter{compt}{1} + \repeat + + \setcounter{compt}{133}% + \loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1.5cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1.5cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip + \ifnum\thecompt<135 \addtocounter{compt}{1} + \repeat + + \setcounter{compt}{156}% + \loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1.5cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1.5cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip + \ifnum\thecompt<158 \addtocounter{compt}{1} + \repeat + + \setcounter{compt}{190}% + \loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,width=2cm]{\thecompt}\hfil& + \addtocounter{compt}{3}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,width=3cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip + \ifnum\thecompt<190 \addtocounter{compt}{1} + \repeat + + \setcounter{compt}{137}% + \loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,width=3cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfil\\ + \end{tabular}\par\medskip + \ifnum\thecompt<137 \addtocounter{compt}{1} + \repeat + \caption{A list of Animals.} + \label{tab:ornaments : animal2} + \end{table} + + +\newpage +\section{Ornaments : Hands}\label{sec:hands } +The next list concerns symbols used to make a line. + +\setcounter{compt}{152}% +\begin{table}[h]\index{ornament!hands } +\loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,width=2cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,width=2cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip +\ifnum\thecompt<153 \addtocounter{compt}{1} +\repeat + \caption{A list of hands .} + \label{tab:ornaments : hands } + \end{table} + +Remark : Ornaments 154 and 155 are identic but their sizes are smaller. + +\section{Ornaments : Humans}\label{sec:humans } +The next list concerns symbols used to make a line. + +\setcounter{compt}{95}% +\begin{table}[h]\index{ornament!Humans } +\loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=2cm]{\thecompt}\hfil& + \addtocounter{compt}{8}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,height=2cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip +\ifnum\thecompt<103 \addtocounter{compt}{1} +\repeat + +\setcounter{compt}{105}% +\loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1.5cm]{\thecompt}\hfil& + \addtocounter{compt}{20}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1.5cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip +\ifnum\thecompt<125 \addtocounter{compt}{1} +\repeat + +\setcounter{compt}{143}% +\loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,width=2cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,width=2cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip +\ifnum\thecompt<144 \addtocounter{compt}{1} +\repeat + +\setcounter{compt}{160}% +\loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=2.5cm]{\thecompt}\hfil& + \addtocounter{compt}{4}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,height=2.5cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip +\ifnum\thecompt<160 \addtocounter{compt}{1} +\repeat + \caption{A list of humans .} + \label{tab:ornaments : humans } + \end{table} + +Remark : Ornaments 143, 144 and 145, 146 are identic but their sizes are diffrent. + +\newpage +\section{Ornaments : Objects part 1}\label{sec:objects1 } +The next list concerns symbols used to make a line. + +\setcounter{compt}{114}% +\begin{table}[h]\index{ornament!objects1 } +\loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1.5cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,width=1.5cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip +\ifnum\thecompt<121 \addtocounter{compt}{1} +\repeat + +\setcounter{compt}{126}% +\loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1.5cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,width=1.5cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip +\ifnum\thecompt<130 \addtocounter{compt}{1} +\repeat + +\setcounter{compt}{147}% +\loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1.5cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,width=1.5cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip +\ifnum\thecompt<147 \addtocounter{compt}{1} +\repeat + + \caption{A list of objects .} + \label{tab:ornaments : objects1 } + \end{table} + +\newpage +\section{Ornaments : Objects part 2}\label{sec:objects2 } +The next list concerns symbols used to make a line. + +\setcounter{compt}{162}% +\begin{table}[h]\index{ornament!objects2 } +\loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,width=1cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip +\ifnum\thecompt<183 \addtocounter{compt}{1} +\repeat + \caption{A list of objects .} + \label{tab:ornaments : objects } + \end{table} + + \newpage +\setcounter{compt}{184}% +\begin{table}[h] +\loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,width=1cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip +\ifnum\thecompt<189 \addtocounter{compt}{1} +\repeat + +\setcounter{compt}{191}% +\loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,width=1cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip +\ifnum\thecompt<192 \addtocounter{compt}{1} +\repeat + +\setcounter{compt}{92}% +\loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,width=1cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip +\ifnum\thecompt<94 \addtocounter{compt}{1} +\repeat + +\setcounter{compt}{149}% +\loop + \begin{tabular}{b{.4cm}b{4cm}b{.4cm}b{4cm}}% + \small{\thecompt)}&\hfil\pgfornament[anchor=south,height=1cm]{\thecompt}\hfil& + \addtocounter{compt}{1}% + \hfill\small{\thecompt)}&\hfil\pgfornament[anchor=south,width=1cm]{\thecompt}\hfil\\ + \end{tabular}\par\medskip +\ifnum\thecompt<151 \addtocounter{compt}{1} +\repeat + \label{tab:ornaments : objects } + \end{table} + +\newpage +\section{Application : Creating a frame} % (fold) +\label{sec:application_placement} +Remark : Corners are the same dimensions ( widht = height ) + +\begin{figure}[h!] + \begin{tikzpicture}[color=Maroon,every node/.style={inner sep=0pt}] + \draw[help lines] (-5,-5) grid (5,5); + \node[minimum size=10cm](vecbox){}; + \node[anchor=north west] at (vecbox.north west){\pgfornament[width=4cm]{61}}; + \node[anchor=north east] at (vecbox.north east){\pgfornament[width=4cm,symmetry=v]{61}}; + \node[anchor=south west] at (vecbox.south west){\pgfornament[width=4cm,symmetry=h]{61}}; + \node[anchor=south east] at (vecbox.south east){\pgfornament[width=4cm,symmetry=c]{61}}; + \end{tikzpicture} + \caption{Creating a frame} +\end{figure} + + +\begin{tkzexample}[code only,small] +\begin{tikzpicture}[color=Maroon, + every node/.style={inner sep=0pt}] + \draw[help lines] (-6,-6) grid (6,6); + \node[minimum size=12cm](vecbox){}; + \node[anchor=north west] at (vecbox.north west) + {\pgfornament[width=5cm]{61}}; + \node[anchor=north east] at (vecbox.north east) + {\pgfornament[width=5cm,symmetry=v]{61}}; + \node[anchor=south west] at (vecbox.south west) + {\pgfornament[width=5cm,symmetry=h]{61}}; + \node[anchor=south east] at (vecbox.south east) + {\pgfornament[width=5cm,symmetry=c]{61}}; +\end{tikzpicture} +\end{tkzexample} \index{minimum size} \index{anchor} + +% section application_placement (end) + +\newpage +\section{Application : Frame around a text} % (fold) +I chose a poem to illustrate this theme. + + + \begin{center} + \begin{figure}[h!] + \begin{tikzpicture} + \node[text width=8cm,align=center](Text){% + In visions of the dark night\\ + I have dreamed of joy departed-\\ + But a waking dream of life and light\ + Hath left me broken-hearted.\\ + + Ah! what is not a dream by day\\ + To him whose eyes are cast \\ + On things around him with a ray \\ + Turned back upon the past? \\ + + That holy dream- that holy dream,\\ + While all the world were chiding,\\ + Hath cheered me as a lovely beam\\ + A lonely spirit guiding.\\ + + What though that light, thro' storm and night,\\ + So trembled from afar- \\ + What could there be more purely bright \\ + In Truth's day-star? \\ + \vspace{24pt} + A Dream (1827) by Edgar Allan Poe + } ; + + \node[inner sep=0pt,shift={(-.5cm,.5cm)},anchor=north west](CNW) at (Text.north west) + {\pgfornament[width=1.75cm]{61}}; + \node[inner sep=0pt,shift={(.5cm,.5cm)},anchor=north east](CNE) at (Text.north east) + {\pgfornament[width=1.75cm,symmetry=v]{61}}; + \node[inner sep=0pt,shift={(-.5cm,-.5cm)},anchor=south west](CSW) at (Text.south west) + {\pgfornament[width=1.75cm,symmetry=h]{61}}; + \node[inner sep=0pt,shift={(.5cm,-.5cm)},anchor=south east](CSE) at (Text.south east) + {\pgfornament[width=1.75cm,symmetry=c]{61}}; + \pgfornamenthline{CNW}{CNE}{north}{87} + \pgfornamenthline{CSW}{CSE}{south}{87} + \pgfornamentvline{CNW}{CSW}{west}{87} + \pgfornamentvline{CNE}{CSE}{east}{87} + \end{tikzpicture} + \caption{A poem} + \end{figure} + \end{center} + +The poem is placed in a node named \Verb+Text+. +Then we can place the corners relatively to four anchors of the node \Verb+Text+. +Finally with the macros \doccmd{gfornamenthline} and \doccmd{gfornamentvline} it's possible to finish the frame. + +\begin{tkzexample}[code only,small] +\begin{tikzpicture}[every node/.style={inner sep=0pt}] +\node[text width=8cm,align=center](Text){% + In visions of the dark night ...} ; +\node[shift={(-1cm,1cm)},anchor=north west](CNW) +at (Text.north west) {\pgfornament[width=1.75cm]{61}}; +\node[shift={(1cm,1cm)},anchor=north east](CNE) +at (Text.north east) {\pgfornament[width=1.75cm,symmetry=v]{61}}; +\node[shift={(-1cm,-1cm)},anchor=south west](CSW) +at (Text.south west) {\pgfornament[width=1.75cm,symmetry=h]{61}}; +\node[shift={(1cm,-1cm)},anchor=south east](CSE) +at (Text.south east) {\pgfornament[width=1.75cm,symmetry=c]{61}}; +\pgfornamenthline{CNW}{CNE}{north}{87} +\pgfornamenthline{CSW}{CSE}{south}{87} +\pgfornamentvline{CNW}{CSW}{west}{87} +\pgfornamentvline{CNE}{CSE}{east}{87} +\end{tikzpicture} +\end{tkzexample} + + +\label{sec:application_poem} + +% section application_poem (end) + +\section{Application : text inside a frame} % (fold) +\label{sec:application_cadre} +Firstly we build the frame with the help of nodes and the we place the text in a node relatively to others nodes. + +\begin{figure}[h!] +\begin{center} +\newcommand{\framesize}{8 cm} +\begin{tikzpicture}[color=Maroon, + transform shape, + every node/.style={inner sep=0pt}] +\node[minimum size=\framesize,fill=Beige!20](vecbox){}; +\node[anchor=north west] at (vecbox.north west){% + \pgfornament[width=0.2*\framesize]{63}}; +\node[anchor=north east] at (vecbox.north east){% + \pgfornament[width=0.2*\framesize,symmetry=v]{63}}; +\node[anchor=south west] at (vecbox.south west){% + \pgfornament[width=0.2*\framesize,symmetry=h]{63}}; +\node[anchor=south east] at (vecbox.south east){% + \pgfornament[width=0.2*\framesize,symmetry=c]{63}}; +\node[anchor=north] at (vecbox.north){% + \pgfornament[width=0.6*\framesize,symmetry=h]{46}}; +\node[anchor=south] at (vecbox.south){% + \pgfornament[width=0.6*\framesize]{46}}; +\node[anchor=north,rotate=90] at (vecbox.west){% + \pgfornament[width=0.6*\framesize,symmetry=h]{46}}; +\node[anchor=north,rotate=-90] at (vecbox.east){% + \pgfornament[width=0.6*\framesize,symmetry=h]{46}}; +\node[inner sep=6pt] (text) at (vecbox.center){\Huge Ornaments}; +\node[anchor=north] at (text.south){% + \pgfornament[width=0.5*\framesize]{75}}; +\node[anchor=south] at (text.north){% + \pgfornament[width=0.5*\framesize,symmetry=h]{75}}; +\end{tikzpicture} +\caption{Text inside a frame with a tikzpicture's environment} +\label{fig:tikze2} + \end{center} +\end{figure} + +\begin{tkzexample}[code only,small] +\newcommand{\framesize}{8 cm} +\begin{tikzpicture}[color=Maroon, + transform shape, + every node/.style={inner sep=0pt}] +\node[minimum size=\framesize,fill=Beige!10](vecbox){}; +\node[anchor=north west] at (vecbox.north west){% + \pgfornament[width=0.2*\framesize]{63}}; +\node[anchor=north east] at (vecbox.north east){% + \pgfornament[width=0.2*\framesize,symmetry=v]{63}}; +\node[anchor=south west] at (vecbox.south west){% + \pgfornament[width=0.2*\framesize,symmetry=h]{63}}; +\node[anchor=south east] at (vecbox.south east){% + \pgfornament[width=0.2*\framesize,symmetry=c]{63}}; +\node[anchor=north] at (vecbox.north){% + \pgfornament[width=0.6*\framesize,symmetry=h]{46}}; +\node[anchor=south] at (vecbox.south){% + \pgfornament[width=0.6*\framesize]{46}}; +\node[anchor=north,rotate=90] at (vecbox.west){% + \pgfornament[width=0.6*\framesize,symmetry=h]{46}}; +\node[anchor=north,rotate=-90] at (vecbox.east){% + \pgfornament[width=0.6*\framesize,symmetry=h]{46}}; +\node[inner sep=6pt] (text) at (vecbox.center){\Huge Ornaments}; +\node[anchor=north] at (text.south){% + \pgfornament[width=0.5*\framesize]{75}}; +\node[anchor=south] at (text.north){% + \pgfornament[width=0.5*\framesize,symmetry=h]{75}}; +\end{tikzpicture} +\end{tkzexample} \index{transform shape} \index{color} \index{every node } +% section application_cadre (end) + +\section{Application : other way to get a pentagon} % (fold) +\label{sec:application_other_way_to_get_a_pentagon} + +We can place ornaments manually but the last method can also be used . + \sidenote{\tkzcname{getornamentlength} is ...} +\begin{tkzexample}[code only,small] +\begin{tikzpicture}[every node={anchor=center,inner sep=0pt}] + \node[regular polygon, + regular polygon sides=5, + minimum size=5cm, + inner sep=0pt](s) {}; + \getornamentlength{s}{corner 1}{s}{corner 2} + \node[rotate=216] at (s.side 1) + {\pgfornament[width=\ornamentlen]{88}}; + \node[rotate=288] at (s.side 2) + {\pgfornament[width=\ornamentlen]{88}}; + \node[rotate=0] at (s.side 3) + {\pgfornament[width=\ornamentlen]{88}}; + \node[rotate=72] at (s.side 4) + {\pgfornament[width=\ornamentlen]{88}}; + \node[rotate=144] at (s.side 5) + {\pgfornament[width=\ornamentlen]{88}}; +\end{tikzpicture} +\end{tkzexample} \index{rotate} \index{regular polygon} + + + \begin{marginfigure}[-1cm] + \begin{tikzpicture}[every node={anchor=center,inner sep=0pt}] + \node[regular polygon, regular polygon sides=5, minimum size=5cm,inner sep=0pt](s) {}; + \getornamentlength{s}{corner 1}{s}{corner 2} + \node[rotate=216] at (s.side 1){\pgfornament[width=\ornamentlen]{88}}; + \node[rotate=288] at (s.side 2){\pgfornament[width=\ornamentlen]{88}}; + \node[rotate=0] at (s.side 3){\pgfornament[width=\ornamentlen]{88}}; + \node[rotate=72] at (s.side 4){\pgfornament[width=\ornamentlen]{88}}; + \node[rotate=144] at (s.side 5){\pgfornament[width=\ornamentlen]{88}}; + \end{tikzpicture} + \caption{A pentagon} + \end{marginfigure} + +% section application_other_way_to_get_a_pentagon (end) + +\vspace{60pt} +\section{Package \docpkg{tikzrput}} % (fold) +\label{sec:package_rput} + +Pstricks Users are accustomed to placing objects with \doccmd{rput}\index{rput}, so I created a package \tkzname{\docpkg{tikzrput}} with only one macro \tkzcname{rput}. This macro is used as that of Pstricks with the same argument and options. Next to the document you are reading, you will find documentation on this package. The display of an object at the point $(x,y)$ is realized with \verb|\rput| of \emph{pstricks} like this :\par\medskip + +\begin{docspec} + \color{black} \doccmd{rput}[\docopt{refpoint}]\{\docarg{angle}\}% +\docparen{x,y}\{\doccmd{pgfornament[\docopt{options}]\{\docarg{number}\}}\} +\end{docspec} + +\subsection{Example with \tkzcname{rput}} % (fold) +\label{sub:example_with_rput} + +\begin{tkzexample}[code only,small] +\foreach \a in {0,4,...,356}{% + \rput(\a;2){$\bullet$}% + } + \rput[B](0;0){Circle}% +\end{tkzexample} \Imacro{foreach} + +\begin{marginfigure}[-3cm] +\hspace*{2cm} + \foreach \a in {0,16,...,356}{% + \rput(\a;2){$\bullet$}% + } + \rput[B](0;0){Circle}% + + \vspace*{3cm} + \caption{Example with \tkzcname{rput}} +\end{marginfigure} + +\subsection{Ornament with \tkzcname{rput}} % (fold) +\label{sub:ornament_with_} + +\setlength{\fboxsep}{0pt} + +\begin{tkzexample}[code only,small] +\begin{picture}(5,4) + \rput(2,1){\pgfornament[width=2cm]{1}} + \rput(4,2){\pgfornament[width=2cm]{2}} +\end{picture} +\end{tkzexample} \Imacro{rput} + +\begin{marginfigure} + \begin{picture}(5,4) + \rput(2,1){\pgfornament[width=2cm]{1}} + \rput(4,2){\pgfornament[width=2cm]{2}} + \end{picture} + \caption{Placement with rput} +\end{marginfigure} + +\medskip + +Pour rappel, +\begin{tkzexample}[code only,small] + \begin{tikzpicture} + \draw[help lines] (0,0) grid (6,4); + \draw [use as bounding box] (0,0) rectangle (6,4); + \node[inner sep=0pt,] at (2,1){% + \pgfornament[width=2cm,color=CadetBlue]{3}}; + \node[anchor=south,inner sep=0pt] at (4,2){% + \pgfornament[color=CadetBlue,width=2cm]{3}}; + \end{tikzpicture} + \caption{Placement with nodes} +\end{tkzexample} \index{south} \index{help lines} + + +\begin{marginfigure} + \begin{tikzpicture} + \draw[help lines] (0,0) grid (6,4); + \draw [use as bounding box] (0,0) rectangle (6,4); + \node[inner sep=0pt,] at (2,1){% + \pgfornament[width=2cm,color=CadetBlue]{3}}; + \node[anchor=south,inner sep=0pt] at (4,2){% + \pgfornament[color=CadetBlue,width=2cm]{3}}; + \end{tikzpicture} + \caption{...} +\end{marginfigure} \Imacro{use as bounding box} +% subsection ornament_with_ (end) +% section package_rput (end) + +\section{Examples from psvectorian} % (fold) +\label{sec:psvectorian} + +\subsection{Large Title -- e01} + +This example is given here : + +\url{http://melusine.eu.org/syracuse/pstricks/vectorian/e01.tex} . +I use the macro \Verb|rput| from my package tikzrput to get the figure with the same code. +I only replace \doccmd{psvectorian} by \doccmd{pgfornament}. + + \begin{figure} + \begin{center} + \rput[r](-3pt,3pt){\pgfornament[scale=.35]{72}} + \Large{Motifs d'ornements}% + \rput[l](3pt,3pt){\pgfornament[scale=.35]{73}}\\ + \rput(0,0){\pgfornament[scale=.5]{85}} + \end{center} + \caption{Example named e01 in psvectorian} + \end{figure} + + +\begin{tkzexample}[code only,small] + \rput[r](-3pt,3pt){\pgfornament[scale=.35]{72}} + \large{Motifs d'ornements}% + \rput[l](3pt,3pt){\pgfornament[scale=.35]{73}}\\ + \rput(0,0){\pgfornament[scale=.5]{85}} +\end{tkzexample} + + +\subsection{Cover with frame -- e02} +This example is given here + +{\small\url{http://melusine.eu.org/syracuse/pstricks/vectorian/e02.tex}} + +I need \docenv{tikzpicture} and \doccmd{draw} to replace \docenv{pspicture} and \doccmd{psframe}. + +\begin{tkzexample}[code only,small] + \begin{tikzpicture}[color=blue] + \draw[use as bounding box,thin] (-5,-5) rectangle (5,5); + \node {\rput[tl](-3,5){\pgfornament[width=6cm]{71}} + \rput[bl](-3,-5){\pgfornament[width=6cm,,symmetry=h]{71}} + %coins + \rput[tl](-5,5){\pgfornament[width=2cm]{63}} + \rput[tr](5,5){\pgfornament[width=2cm,,symmetry=v]{63}} + \rput[bl](-5,-5){\pgfornament[width=2cm,,symmetry=h]{63}} + \rput[br](5,-5){\pgfornament[width=2cm,,symmetry=c]{63}} + % côtés + \rput[bl]{-90}(-5,3){\pgfornament[width=6cm]{46}} + \rput[bl]{90}(5,-3){\pgfornament[width=6cm]{46}} + %texte+soulignement+chapeau + \rput(0,0){\Huge Ornaments} + \rput[t](0,-0.5){\pgfornament[width=5cm]{75}} + \rput[b](0,0.5){\pgfornament[width=5cm]{69}} + % oiseaux + \rput[tr]{-30}(-1,2.5){\pgfornament[width=2cm]{57}} + \rput[tl]{30}(1,2.5){\pgfornament[width=2cm,symmetry=v]{57}}}; + \end{tikzpicture} +\end{tkzexample} + +% subsection example_with_rput (end) +\vspace{30pt} +\subsection{Little Title -- e03} +This example is given here + +{\small\url{http://melusine.eu.org/syracuse/pstricks/vectorian/e03.tex}} + +I corrected a little problem with blank space around the text. + +\begin{tkzexample}[code only,small] +\begin{center} + \rput[r](-2pt,6pt){\pgfornament[,height=1cm]{21}} + {\Large Texte}% + \rput[l](2pt,6pt){\pgfornament[height=1cm]{23}} +\end{center} +\end{tkzexample} + +\begin{marginfigure} +\begin{center} +\rput[r](-2pt,6pt){\pgfornament[height=1cm]{21}}% +{\Large Title}% +\rput[l](2pt,6pt){\pgfornament[height=1cm]{23}}% +\end{center} +\caption{Example named e03} +\end{marginfigure} + +\vspace{30pt} +\section{Advanced usage} % (fold) +\label{sec:advanced_usage} + +\subsection{Look at the code} % (fold) +\label{sub:look_at_the_code} +The package first define the name of the family of ornament \tkzcname{\OrnamentsFamily} by default it's \tkzname{vectorian}. + +\begin{tkzexample}[code only,small] + \begin{tikzpicture}[% + baseline={([yshift=\pgfornamentydelta]% + current bounding box.\pgfornamentanchor)},pgfornamentstyle] + \pgftransformscale{\pgfornamentscale}% + \pgf@@ornament{#2}% + \end{tikzpicture}% +\end{tkzexample} + +\medskip +Options for placement are \tkzname{yshift=}\doccmd{pgfornamentydelta} and \doccmd{pgfornamentanchor} . Options for aspect are \docStyle{pgfornamentstyle} and \doccmd{pgfornamentscale} . +The object is called by \doccmd{pgf@@ornament}. This macro define locally other macros used for creating the symbols and it loads the symbol with \Verb|\@@input \OrnamentsFamily#1.pgf.|. +The symbol with the rank \Verb|#1| in the family \doccmd{OrnamentsFamily} is loaded. + +\begin{tkzexample}[code only,small] + \def\pgf@@ornament#1{% + \begingroup + \def\i{\pgfusepath{clip}}% + \let\o\pgfpathclose + \let\s\pgfusepathqfillstroke + \def\p ##1##2{\pgfqpoint{##1bp}{##2bp}}% + \def\m ##1 ##2 {\pgfpathmoveto{\p{##1}{##2}}}% + \def\l ##1 ##2 {\pgfpathlineto{\p{##1}{##2}}}% + \def\r ##1 ##2 ##3 ##4 {\pgfpathrectangle{\p{##1}{##2}}{% + \p{##3}{##4}}}% + \def\c ##1 ##2 ##3 ##4 ##5 ##6 {% + \pgfpathcurveto{\p{##1}{##2}}{\p{##3}{##4}}{\p{##5}{##6}}}% + \@@input \OrnamentsFamily#1.pgf% + \endgroup}% +\end{tkzexample} + +\medskip +A symbol : the next code is used to define the first object of the family \tkzname{am}. For example I created two very simple vector ornaments am1.pgf \sidenote{The next code defines this ornament\label{am1def}} and am2.pgf . Actually the family \tkzname{am} is only composed by two elements. + +The real definition of an object uses a lot of bytes, with the mechanism\thanks{I received an useful help from \emph{Enrico Gregorio}} described above, I can save the object like this : + +\begin{tkzexample}[code only,small] + \m 0 0 + \c 50 0 150 0 200 16 + \c 250 0 350 0 400 0 + \l 400 1 + \c 350 0 250 0 200 22 + \c 150 0 50 0 0 1 + \l 0 0 + \s + \endinput +\end{tkzexample} + +\vspace{30pt} +\subsection{How to use the code differently} % (fold) +\label{sub:how_to_use_the_code_differently} + For example you can create a new macro to call an object of another family and you can modifiy the object. + + \begin{tkzexample}[code only,small] + \makeatletter + \newcommand{\callornament}[1]{% + \begingroup + \def\i{\pgfusepath{clip}}% + \let\o\pgfpathclose + \let\s\pgfusepathqfillstroke + \def\p ##1##2{\pgfqpoint{##1bp}{##2bp}}% + \def\m ##1 ##2 {\pgfpathmoveto{\p{##1}{##2}}}% + \def\l ##1 ##2 {\pgfpathlineto{\p{##1}{##2}}}% + \def\r ##1 ##2 ##3 ##4 {\pgfpathrectangle{\p{##1}{##2}}{% + \p{##3}{##4}}}% + \def\c ##1 ##2 ##3 ##4 ##5 ##6 {% + \pgfpathcurveto{\p{##1}{##2}}{\p{##3}{##4}}{\p{##5}{##6}}}% + \@@input #1\relax + \m 0 0 \l 400 0 \o\s + \endgroup} + \makeatother + \end{tkzexample} + \Imacro{pgfusepath} \Imacro{pgfpathclose} \Imacro{pgfqpoint} + \Imacro{pgfpathmoveto} \Imacro{pgfpathlineto} \Imacro{pgfpathcurveto} + + \makeatletter + \newcommand{\callornament}[1]{% + \begingroup + \def\i{\pgfusepath{clip}}% + \let\o\pgfpathclose + \let\s\pgfusepathqfillstroke + \def\p ##1##2{\pgfqpoint{##1bp}{##2bp}}% + \def\m ##1 ##2 {\pgfpathmoveto{\p{##1}{##2}}}% + \def\l ##1 ##2 {\pgfpathlineto{\p{##1}{##2}}}% + \def\r ##1 ##2 ##3 ##4 {\pgfpathrectangle{% + \p{##1}{##2}}{\p{##3}{##4}}}% + \def\c ##1 ##2 ##3 ##4 ##5 ##6 {% + \pgfpathcurveto{\p{##1}{##2}}{\p{##3}{##4}}{\p{##5}{##6}}}% + \@@input #1\relax + \m 0 0 \l 400 0 \o\s + \endgroup} + \makeatother + +\begin{tkzexample}[code only,small] + \tikz[scale=.5] \callornament{am1.pgf} ; +\end{tkzexample} + + +\begin{marginfigure} + \tikz[scale=.3] \callornament{am1.pgf} ; + \caption{Usage of another family} +\end{marginfigure} + +\vspace{30pt} +\subsection{Define a symbol with Inskape} % (fold) +\label{sub:define_a_symbol_with_inskape} +You can create a symbol with \tkzname{Inskape}\index{Inskape}, then you save the symbol with the format \tkzname{LaTeX with \docpkg{Pstricks}}. + + +\begin{tkzexample}[code only,very small] + %LaTeX with PSTricks extensions + %%Creator: inkscape 0.48.2 + %%Please note this file requires PSTricks extensions +\psset{xunit=.5pt,yunit=.5pt,runit=.5pt} +\begin{pspicture}(744.09448242,1052.36218262) + { + \newrgbcolor{curcolor}{0 0 0} + \pscustom[linewidth=1,linecolor=curcolor] + { + \newpath + \moveto(231.428,665.714) + \curveto(235.869,658.981)(224.543,656.406)(220.238,658.333) + \curveto(208.570,663.555)(209.816,679.616)(216.666,688.095) + \curveto(228.919,703.261)(252.107,700.575)(265.000,687.857) + \curveto(283.919,669.192)(279.643,638.050)(260.952,620.952) + \curveto(236.039,598.163)(196.704,604.097)(175.476,628.809) + \curveto(148.762,659.906)(156.386,707.535)(187.142,732.857) + \curveto(224.393,763.525)(280.367,754.197)(309.761,717.380) + \curveto(344.402,673.993)(333.361,609.645)(290.476,576.190) + \curveto(240.963,537.565)(168.220,550.325)(130.714,599.285) + \curveto(88.097,654.917)(102.579,736.068)(157.619,777.619) + \curveto(219.364,824.233)(308.932,808.026)(354.523,746.904) + \curveto(405.139,679.048)(387.205,581.057)(319.999,531.428) + \curveto(294.222,512.3928)(262.917,501.397)(230.928,499.848) + } + } +\end{pspicture} +\end{tkzexample} + + +You modify the code like this : \sidenote{You can also modify all the coordinates if you don't want to use \tkzcname{pgftransformscale} } + +\begin{tkzexample}[code only,very small] + \begingroup + \def\i{\pgfusepath{clip}}% + \def\k{\pgfusepath{stroke}}% + \let\o\pgfpathclose + \let\s\pgfusepathqfillstroke + \def\p #1#2{\pgfqpoint{#1bp}{#2bp}}% + \def\m #1 #2 {\pgfpathmoveto{\p{#1}{#2}}}% + \def\r #1 #2 #3 #4 {\pgfpathrectangle{\p{#1}{#2}}{% + \p{#3}{#4}}}% + \def\l #1 #2 {\pgfpathlineto{\p{#1}{#2}}}% + \def\c #1 #2 #3 #4 #5 #6 {% + \pgfpathcurveto{\p{#1}{#2}}{\p{#3}{#4}}{\p{#5}{#6}}}% + \begin{tikzpicture} + \pgftransformscale{.4} + \m 231.428 665.714 + \c 235.869 658.981 224.543 656.406 220.238 658.333 + \c 208.570 663.555 209.816 679.616 216.666 688.095 + \c 228.919 703.261 252.107 700.575 265.000 687.857 + \c 283.919 669.192 279.643 638.050 260.952 620.952 + \c 236.039 598.163 196.704 604.097 175.476 628.809 + \c 148.762 659.906 156.386 707.535 187.142 732.857 + \c 224.393 763.525 280.367 754.197 309.761 717.380 + \c 344.402 673.993 333.361 609.645 290.476 576.190 + \c 240.963 537.565 168.220 550.325 130.714 599.285 + \c 88.097 654.917 102.579 736.068 157.619 777.619 + \c 219.364 824.233 308.932 808.026 354.523 746.904 + \c 405.139 679.048 387.205 581.057 319.999 531.428 + \c 294.222 512.392 262.917 501.397 230.928 499.848 + \k + \end{tikzpicture} + \endgroup +\end{tkzexample} + + +\begin{marginfigure}[-5cm] + \begingroup + \def\i{\pgfusepath{clip}}% + \def\k{\pgfusepath{stroke}}% + \let\o\pgfpathclose + \let\s\pgfusepathqfillstroke + \def\p #1#2{\pgfqpoint{#1bp}{#2bp}}% + \def\m #1 #2 {\pgfpathmoveto{\p{#1}{#2}}}% + \def\r #1 #2 #3 #4 {\pgfpathrectangle{\p{#1}{#2}}{% + \p{#3}{#4}}}% + \def\l #1 #2 {\pgfpathlineto{\p{#1}{#2}}}% + \def\c #1 #2 #3 #4 #5 #6 {% + \pgfpathcurveto{\p{#1}{#2}}{\p{#3}{#4}}{\p{#5}{#6}}}% + \begin{tikzpicture} + \pgftransformscale{.5} + \m 231.428 665.714 + \c 235.869 658.981 224.543 656.406 220.238 658.333 + \c 208.570 663.555 209.816 679.616 216.666 688.095 + \c 228.919 703.261 252.107 700.575 265.000 687.857 + \c 283.919 669.192 279.643 638.050 260.952 620.952 + \c 236.039 598.163 196.704 604.097 175.476 628.809 + \c 148.762 659.906 156.386 707.535 187.142 732.857 + \c 224.393 763.525 280.367 754.197 309.761 717.380 + \c 344.402 673.993 333.361 609.645 290.476 576.190 + \c 240.963 537.565 168.220 550.325 130.714 599.285 + \c 88.097 654.917 102.579 736.068 157.619 777.619 + \c 219.364 824.233 308.932 808.026 354.523 746.904 + \c 405.139 679.048 387.205 581.057 319.999 531.428 + \c 294.222 512.392 262.917 501.397 230.928 499.848 + \k + \end{tikzpicture} + \endgroup + \caption{Symbol from Inskape} +\end{marginfigure} + +\vspace{30pt} +\subsection{From .eps or .mps file} % (fold) +\label{sub:from_eps_or_mps_file} + Another symbol : \sidenote{ You can create a new family name \tkzname{symb} and you save the new code in a file \tkzname{symb1.pgf}. It's the first vector object of the new family}. +\begin{tkzexample}[code only,very small] + \begin{tikzpicture} + \pgftransformscale{.4} + \m 71.43 238.86 + \l 310.29 238.86 + \l 310.29 332.57 + \l 428.57 214.29 + \l 310.29 96.00 + \l 310.29 189.71 + \l 71.43 189.71 + \l 71.43 238.86 + \s + \m 453.14 381.71 + \l 500.00 381.71 + \l 500.00 46.86 + \l 453.14 46.86 + \l 453.14 381.71 + \s + \end{tikzpicture} +\end{tkzexample} + +\begin{marginfigure}[-5cm] + \begingroup + \def\i{\pgfusepath{clip}}% + \def\k{\pgfusepath{stroke}}% + \let\o\pgfpathclose + \let\s\pgfusepathqfillstroke + \def\p #1#2{\pgfqpoint{#1bp}{#2bp}}% + \def\m #1 #2 {\pgfpathmoveto{\p{#1}{#2}}}% + \def\r #1 #2 #3 #4 {\pgfpathrectangle{\p{#1}{#2}}{% + \p{#3}{#4}}}% + \def\l #1 #2 {\pgfpathlineto{\p{#1}{#2}}}% + \def\c #1 #2 #3 #4 #5 #6 {% + \pgfpathcurveto{\p{#1}{#2}}{\p{#3}{#4}}{\p{#5}{#6}}}% + \begin{tikzpicture} + \pgftransformscale{.3} + \m 71.43 238.86 + \l 310.29 238.86 + \l 310.29 332.57 + \l 428.57 214.29 + \l 310.29 96.00 + \l 310.29 189.71 + \l 71.43 189.71 + \l 71.43 238.86 + \s + \m 453.14 381.71 + \l 500.00 381.71 + \l 500.00 46.86 + \l 453.14 46.86 + \l 453.14 381.71 + \s + \end{tikzpicture} +\endgroup + \caption{Symbol from .eps file} +\end{marginfigure} +% +% % subsection define_a_symbol_with_inskape (end) +% % subsection from_eps_or_mps_file (end) +% \newpage + +\section{Problem} % (fold) +\label{sec:problem} +If you got an error like "Package tikz Error: + or - expected.", perhaps there is a conflict with the babel package. +It's possible to resolve this type of conflict with \Verb|\shorthandoff{!}| just before your tikzpicture. You can also write in your preamble + +\begin{tkzexample}[code only,small] +\tikzset{every picture/.prefix style={% + execute at begin picture=\shorthandoff{!}}} +\end{tkzexample} \index{shorthandoff} + +and finally you can use \Verb|\usetikzlibrary{babel}| only with pgf 3.0 +In french, you can get an error with ! : , and ;. Babel makes these characters activ + +If you got a problem with the option \Verb|at| replace \Verb|at| by \Verb|ornament/at|. +% section problem (end) + +\printindex + +\end{document} + +% \bibliography{sample-handout} +% \bibliographystyle{plainnat} + + + + +
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/pgfornament/doc/tikzrput.pdf b/obsolete/macros/latex/contrib/tkz/pgfornament/doc/tikzrput.pdf Binary files differnew file mode 100644 index 0000000000..40dea3991b --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/pgfornament/doc/tikzrput.pdf diff --git a/obsolete/macros/latex/contrib/tkz/pgfornament/doc/tikzrput.tex b/obsolete/macros/latex/contrib/tkz/pgfornament/doc/tikzrput.tex new file mode 100644 index 0000000000..7af7a27317 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/pgfornament/doc/tikzrput.tex @@ -0,0 +1,581 @@ +\documentclass[a4paper]{tufte-handout} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\PassOptionsToPackage{dvipsnames,svgnames}{xcolor} +\usepackage{graphicx,rotating} +\usepackage[object=vectorian]{pgfornament} +\usepackage{tkzexample,tikzrput,pict2e,picture} +\usetikzlibrary{calc} +\usepackage{calc} +\usepackage{fancyvrb} +\fvset{fontsize=\normalsize} +\hypersetup{% +pdfauthor = {Alain Matthes}, +pdftitle = {tikzrput}, +pdfsubject = {Documentation de tikzrput}, +colorlinks = true, +linkcolor = orange, +urlcolor = blue} + +\renewenvironment{theindex} + {\renewcommand\item{\par\hangindent 40pt} + \renewcommand\subitem{\item\hspace*{20pt}} + \renewcommand\subsubitem{\item\hspace*{30pt}} + \renewcommand\indexspace{\par \vskip 10pt plus 5pt minus 3pt\relax} + \section{\indexname} + \begin{multicols}{2}% + \parindent=0pt + \small% + } + {\end{multicols}% + } + +%\usetikzlibrary{external}\tikzexternalize + +\makeatletter +\let\strippt\strip@pt +\makeatother + +\title{The tikzrput package \thanks{\url{http://altermundus.com/pages/tkz/tikzrput/}}} + +\author{Alain Matthes} + +\usepackage{fourier,lmodern} + +%\geometry{showframe} % display margins for debugging page layout + +\setkeys{Gin}{width=\linewidth,totalheight=\textheight,keepaspectratio} +\graphicspath{{graphics/}} % set of paths to search for images +\usepackage{amsmath,lipsum} % extended mathematics +\usepackage{array,booktabs} % book-quality tables +\usepackage{multicol} % multiple column layout facilities +\usepackage[babel=true]{microtype} +\usepackage[english]{babel} + +% Standardize command font styles and environments +\newcommand{\docparen}[1]{\ensuremath{(#1)}}% optional command argument + +\definecolor{fondpaille}{cmyk}{0,0,0.1,0} +\pagecolor{fondpaille} +\color{Maroon} +\colorlet{graphicbackground}{fondpaille} +\colorlet{numbackground}{fondpaille} +\colorlet{codebackground}{Periwinkle!10} +\colorlet{codeonlybackground}{Periwinkle!10} +\colorlet{textcodecolor}{MidnightBlue} % Maroon +\colorlet{numcolor}{gray} +\newcommand*{\tkzname}[1]{\textbf{\texttt{\textcolor{orange!50!Maroon}{#1}}}} +\newcommand*{\PGF}{\tkzname{PGF}} +\newcommand*{\TIKZ}{\tkzname{Ti\emph{k}Z}} +\newcommand*{\pdf}{\textsc{pdf}} +\newcommand*{\pgfname}{\textsc{pgf}} +\newcommand*{\tikzname}{Ti\emph{k}Z} +\newcommand*{\pstricks}{\textsc{pstricks}} % +\newcommand*{\tkzAttention}[3]{\ \\\llap{\textcolor{#3}{#1\hskip #2}}} +\newcommand*{\tkzHand}{\ \\\llap{\textcolor{red}{\lefthand\hskip1em}}} +\newcommand*{\tkzHandBomb}{\ \\\llap{\textcolor{red}{\lefthand\ \bomb\hskip1em}}} +\newcommand*{\tkzBomb}{\ \\\llap{\textcolor{red}{\bomb\hskip1em}}} +\newcommand*{\tkzTwoBomb}{\ \\\llap{\textcolor{red}{\bomb\ \bomb\hskip1em}}} +\newcommand*{\tkzimp}[1]{\textbf{#1}} +\newcommand*{\tkzcname}[1]{\textbf{\texttt{\textcolor{Maroon}{\textbackslash#1}}}} +\newcommand*{\tkzhname}[1]{\textbf{\texttt{\textcolor{Maroon}{\textbackslash#1}}}} +\providecommand\LaTeX{L\kern-.36em\raise.3ex\hbox{\sc a}\kern-.15em\TeX} + +% Macros for typesetting the documentation +\newcommand{\hlred}[1]{\textcolor{Maroon}{#1}}% prints in red +\newcommand{\hangleft}[1]{\makebox[0pt][r]{#1}} +\newcommand{\hairsp}{\hspace{1pt}}% hair space +\newcommand{\hquad}{\hskip0.5em\relax}% half quad space +\newcommand{\TODO}{\textcolor{red}{\bf TODO!}\xspace} + +\newcommand{\tuftebs}{\symbol{'134}}% a backslash in tt type in OT1/T1 +\newcommand{\doccmdnoindex}[2][]{\texttt{\tuftebs#2}}% command name -- adds backslash automatically (and doesn't add cmd to the index) +\newcommand{\doccmddef}[2][]{% + \hlred{\texttt{\tuftebs#2}}\label{cmd:#2}% + \ifthenelse{\isempty{#1}}% + {% add the command to the index + \index{#2 command@\protect\hangleft{\texttt{\tuftebs}}\texttt{#2}}% command name + }% + {% add the command and package to the index + \index{#2 command@\protect\hangleft{\texttt{\tuftebs}}\texttt{#2} (\texttt{#1} package)}% command name + \index{#1 package@\texttt{#1} package}\index{packages!#1@\texttt{#1}}% package name + }% +}% command name -- adds backslash automatically + +\newcommand{\doccmd}[2][]{% + \texttt{\tuftebs#2}% + \ifthenelse{\isempty{#1}}% + {% add the command to the index + \index{#2 command@\protect\hangleft{\texttt{\tuftebs}}\texttt{#2}}% command name + }% + {% add the command and package to the index + \index{#2 command@\protect\hangleft{\texttt{\tuftebs}}\texttt{#2} (\texttt{#1} package)}% command name + \index{#1 package@\texttt{#1} package}\index{packages!#1@\texttt{#1}}% package name + }% +}% command name -- adds backslash automatically + +\newcommand{\docopt}[1]{\ensuremath{\protect\langle}\textrm{\textit{#1}}\ensuremath{\protect\rangle}}% optional command argument + +\newcommand{\docarg}[1]{\textrm{\textit{#1}}}% (required) command argument + +\newenvironment{docspec}{\begin{quotation}\ttfamily\parskip0pt\parindent0pt\ignorespaces}{\end{quotation}}% command specification environment + +\newcommand{\docdist}[1]{\texttt{#1}\index{#1 distribution@\texttt{#1} distribution}\index{distributions!#1@\texttt{#1}}}% environment name + +\newcommand{\docenv}[1]{\texttt{#1}\index{#1 environment@\texttt{#1} environment}\index{environments!#1@\texttt{#1}}}% environment name + +\newcommand{\docenvdef}[1]{\hlred{\texttt{#1}}\label{env:#1}\index{#1 environment@\texttt{#1} environment}\index{environments!#1@\texttt{#1}}}% environment name + +\newcommand{\docoption}[2]{\texttt{#1}\index{#1 option@\texttt{#1} option}\index{options(#2)!#1@\texttt{#1}}}% package name + +\newcommand{\docpkg}[1]{\texttt{#1}\index{#1 package@\texttt{#1} package}\index{packages!#1@\texttt{#1}}}% package name + +\newcommand{\doccls}[1]{\texttt{#1}}% document class name + +\newcommand{\docclsopt}[1]{\texttt{#1}\index{#1 class option@\texttt{#1} class option}\index{class options!#1@\texttt{#1}}}% document class option name + +\newcommand{\docclsoptdef}[1]{\hlred{\texttt{#1}}\label{clsopt:#1}\index{#1 class option@\texttt{#1} class option}\index{class options!#1@\texttt{#1}}}% document class option name defined + +\newcommand{\docmsg}[2]{\bigskip\begin{fullwidth}\noindent\ttfamily#1\end{fullwidth}\medskip\par\noindent#2} + +\newcommand{\docfilehook}[2]{\texttt{#1}\index{file hooks!#2}\index{#1@\texttt{#1}}} +\newcommand{\doccounter}[1]{\texttt{#1}\index{#1 counter@\texttt{#1} counter}} + +\newcommand{\docStyle}[1]{\texttt{#1}\index{#1 style(\TIKZ)@\texttt{#1} style(\TIKZ)}\index{styles(\TIKZ)!#1@\texttt{#1}}}% package name + +\newcommand*{\Imacro}[1]{\index{#1_1@\texttt{\textbackslash#1}}}%n + +\newcommand{\docfamily}[1]{\texttt{#1}\index{#1 family@\texttt{#1} family}\index{families!#1@\texttt{#1}}}% package name + +\newcommand{\docvo}[1]{\texttt{#1}\index{#1 vector ornament@\texttt{#1} vector ornament}\index{vector ornaments!#1@\texttt{#1}}}% package name +\usepackage{makeidx} +\makeindex + +\begin{document} + +\maketitle + +\begin{abstract} +\noindent\lefthand\ (Version 0.2) + +This document describes the \LaTeX\ package \emph{\docpkg{tikzrput}}. +It also provides some examples and comments on the package's use. Firstly, I would like to thank a lot of contributors of the site tex.stackexchange \sidenote{ \url{ http://tex.stackexchange.com/ }}. The idea to create this package comes from a question on tex.stackexchange. I would like to thanks also \textbf{Till Tantau} for creating the wonderful tool \href{http://sourceforge.net/projects/pgf/}{Ti\emph{k}Z}. + + +\end{abstract} + + + +\section{How to install the package} % (fold) +\label{sec:how_to_install} +With \docdist{TeXLive}, if you need to install it by yourself, just download the file \docpkg{tikzrput.sty}, and place it in your TDS directory (~/texmf/tex/latex for Unix-like systems). + +With \docdist{MiKTeX}, copy the file \docpkg{tikzrput.sty} into \verb+C:\texmf\tex\latex+, then +run {\color{red}\texttt{MiKTeX Options}} . In the {\color{black}\texttt{File name database}} section, click on {\color{red}\texttt{Refresh now}}. +% section how_to_install (end) + + +\section{How to use the package} % (fold) +\label{sec:how_to_use} +You only need to add \\ +{\color{black}\verb+\usepackage{tikzrput}+} in your preamble. The tikzrput package loads \TIKZ. If \docpkg{pstricks}\index{pstricks} is already loaded, the macro \Imacro{rput} is unchanged. The macro \doccmd{rput} of this package is only active with {\color{red}\texttt{pdflatex}\index{pdflatex}}. + + +\section{The macro} % (fold) +\label{sec:the_main_macro} +The \doccmd{rput} macro can be used to place objects. +The simple form of the \doccmd{rput} macro used below works like the \Verb|\put| macro of the \LaTeX\ \docenv{picture} \index{picture} environment and gives you the ability to place and rotate whatever you want. + +Below you can see the common useage of this command. \Verb|\rput(x,y){text}| to print text at the ref point \Verb|(x,y)|. +In the following example the usage of this command is shown practically. + +\begin{tkzexample}[code only] +\documentclass{article} +\usepackage{tikzrput} +\begin{document} + ... + see code below + ... +\end{document} +\end{tkzexample} + +\begin{tkzexample}[latex=5cm] +baseline->\rput(12,1){% +\begin{tikzpicture} + \node[draw]{First Example}; +\end{tikzpicture}} +\rput(12,0){\fbox{% + Second example}} +\end{tkzexample} + +\vspace{12pt} + + +"(x,y)" is the position where "stuff" will be placed."Refpoint" gives the reference point of stuff (text or picture and so on). + +\begin{tkzexample}[latex=5cm] +baseline-> +\rput{45}(12,0){\fbox{Stuff}} +\end{tkzexample} + + + +The specifications of the \Verb|\rput| command is: +\begin{docspec} +\large + \color{blue!50!black} \doccmd{rput[\docopt{options}]\{\docopt{rotation}\}(\docarg{refpoint})\{\docarg{stuff}\}} +\end{docspec} + +The first mandatory argument (in parenthesis) is the coordinate pair of the point where the stuff is placed.\\ +The second mandatory argument (in curly braces) is the stuff to place.\\ + +The first optional argument is given in brackets and it determines the position of the bounding box of the object to place with respect to the "refpoint" (in parenthesis). The admissible values are mc, t, tl, tr, b, bl, br and B, Br, Bl. The default is mc meaning middle – center , t is for top of the box, b for bottom and B for baseline; r and l are for right and left. We can call these points, the anchors.\\ + +The second optional argument is given in curly braces. It is a number that stands for the rotation angle. + + +What is the baseline ? + +As you probably know \TeX\ puts all its objects in boxes. A box has a baseline that determines height and depth. +\begin{marginfigure} + \centering + \includegraphics[width=1\textwidth]{baseline.png} + \caption{The baseline} + \label{fig:baseline} +\end{marginfigure} + + \TeX\ uses the baselines for fixing together the boxes to others. A box has ten anchors:\\ + - mc the middle-center, the center point,\\ + - bl br tl tr are the 4 corners (for bottom left and bottom right top left and top right),\\ + - two anchors Bl and Br (Baseline left and right),\\ + - the vertical line through the middle-center defines three other points t, B and b on the top line, the baseline and the bottom line. + +\doccmd{rput} command will place the box defined by using the reference point and placing on this, one of the ten anchors box. +\begin{marginfigure} + \centering + \includegraphics[width=1\textwidth]{TeX_box.png} + \caption{Anchors of a box} + \label{} +\end{marginfigure} + +\newpage +\subsection{Arguments and options} % (fold) +\label{sub:the_options} + +Available anchors: + +\begin{table}[h]\index{tikzrput!options} +{ \small \begin{tabular}{lll} + \toprule + name & default & definition \\ +\midrule +\docoption{mc}{rput} & \{ \} & middle center mc or empty\\ +\docoption{B}{rput} & \{ \} & baseline center\\ +\docoption{Bl}{rput} & \{ \} & baseline left \\ +\docoption{Br}{rput} & \{ \} & baseline right \\ +\docoption{t}{rput} & \{ \} & top center \\ +\docoption{tl}{rput} & \{ \} & top left \\ +\docoption{tr}{rput} & \{ \} & top right\\ +\docoption{b}{rput} & \{ \} & bottom center \\ +\docoption{bl}{rput} & \{ \} & bottom left\\ +\docoption{br}{rput} & \{ \} & bottom right \\ +\midrule +\docoption{rotation}{rput} & 0 & angle of rotation around ref point \\ +\bottomrule +\end{tabular} } +\caption{List of options for the pgfornament macro.} + \label{tab:pgfornament-options} +\end{table} + + The angle of \docopt{rotation} is expressed in degrees...\\ + The \docarg{refpoint} is defined by two coordinates \Verb|(x,y)|. +% subsection the_options (end) + + +\newpage + +\section{Examples} % (fold) +\label{sec:examples} +\subsection{ex 1 Ornaments patterns} % (fold) +\label{sub:ex_1} + + +\begin{tkzexample}[code only,small] +\hspace{1cm}% +\rput[r](-3pt,3pt){\pgfornament[scale=.2]{72}} + {Ornaments patterns}% +\rput[l](3pt,3pt){\large\pgfornament[scale=.2]{73}} +\end{tkzexample} +\begin{marginfigure} +\hspace{1cm}\rput[r](-3pt,3pt) + {\pgfornament[scale=.2]{72}} + {Ornaments patterns}% + \rput[l](3pt,3pt) + {\large\pgfornament[scale=.2]{73}} +\end{marginfigure} +% subsection ex_1 (end) +% section examples (end) + +\subsection{ex 2 Ornaments} % (fold) +\label{sub:ex_2_ornaments} + +\begin{tkzexample}[code only,small] +\documentclass{scrartcl} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage[dvipsnames]{xcolor} +\usepackage{tikzrput} +\usepackage{pgfornament} +\begin{document} +\tikzset{pgfornamentstyle/.style={% + draw = Periwinkle, + fill = SpringGreen}} +\unitlength=1cm +\begin{picture}(10,10)% + \color{blue}% + \put(0,0){\framebox(10,10){% + \rput[tl](-3,5){\pgfornament[width=6cm]{71}}% + \rput[bl](-3,-5){\pgfornament[width=6cm, + symmetry=h]{71}}% + \rput[tl](-5,5){\pgfornament[width=2cm]{63}}% + \rput[tr](5,5){\pgfornament[width=2cm, + symmetry=v]{63}}% + \rput[bl](-5,-5){\pgfornament[width=2cm, + symmetry=h]{63}}% + \rput[br](5,-5){\pgfornament[width=2cm, + symmetry=c]{63}}% + \rput[bl]{-90}(-5,3){\pgfornament[width=6cm]{46}}% + \rput[bl]{90}(5,-3){\pgfornament[width=6cm]{46}}% + \rput(0,0){\Huge \color{MidnightBlue} Ornaments}% + \rput[t](0,-0.5){\pgfornament[width=5cm]{75}}% + \rput[b](0,0.5){\pgfornament[width=5cm]{69}}% + \rput[tr]{-30}(-1,2.5){\pgfornament[width=2cm]{57}}% + \rput[tl]{30}(1,2.5){\pgfornament[width=2cm,symmetry=v]{57}}}}% +\end{picture} +\end{document} +\end{tkzexample} +\begin{marginfigure} + \centering + \includegraphics[width=1\textwidth]{ornaments.png} + \caption{caption} + \label{fig:ornaments} +\end{marginfigure} +% subsection ex_2_blue_ornament (end) + +\subsection{ex3 Picture} % (fold) +\label{sub:ex3_picture} +\begin{tkzexample}[code only,small] +\documentclass{article} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage[dvipsnames]{xcolor} +\usepackage{pict2e,tikzrput} +\usepackage[calc]{picture} +\usepackage[]{fourier} +\begin{document} + +\setlength{\parindent}{0pt} +\setlength{\unitlength}{1cm} + \begin{picture}(3,3) + \put(0,0){\framebox(3,3){}}% + \color{blue}% + \thicklines + \put(0,0){\line(1,1){3}} + \color{MidnightBlue}% + \rput[b]{45}(2,2){\large \textbf{line}} + \end{picture}% + +\end{document} +\end{tkzexample} +\begin{marginfigure} +\centering + \setlength{\parindent}{0pt} + \setlength{\unitlength}{1cm} + \begin{picture}(3,3) + \put(0,0){\framebox(3,3){}}% + \color{blue}% + \thicklines + \put(0,0){\line(1,1){3}} + \color{MidnightBlue}% + \rput[b]{45}(2,2){\large \textbf{line}} + \end{picture}% + \caption{with picture} + \label{fig:picture} +\end{marginfigure} +% subsection ex3_picture (end) + +\subsection{ex 4 Tikzpicture} % (fold) +\label{sub:ex_4_tikzpicture} +\begin{tkzexample}[code only,small] +\documentclass{article} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage[dvipsnames]{xcolor} +\usepackage{pict2e,tikzrput} +\usepackage[calc]{picture} +\usepackage{fourier} +\begin{document} + +\hrule +baseline% +\begin{tikzpicture}[baseline=(current bounding box.south west)] + \draw[help lines] (0,0) grid (3,3) ; + \draw[use as bounding box,color=CadetBlue](0,0)rectangle(3,3); + \rput (2,2){Perfect}% +\end{tikzpicture}% +baseline% + +\end{document} +\end{tkzexample} +\begin{marginfigure} +\hrule +baseline% +\begin{tikzpicture}[baseline=(current bounding box.south west)] + \draw[help lines] (0,0) grid (3,3) ; + \draw[use as bounding box,color=CadetBlue] (0,0) rectangle (3,3) ; + \rput (2,2){Perfect}% +\end{tikzpicture}% +baseline% + \caption{with tikzpicture} + \label{fig:tikzpicture} +\end{marginfigure} +% subsection ex_4_tikzpicture (end) +\newpage +\subsection{ex 5 From pstricks doc} % (fold) +\label{sub:ex_5_from_pstricks_doc} +\begin{marginfigure} + \begin{tikzpicture}[baseline=(current bounding box.north)] + \draw[help lines] (-1,0) grid (1,5) ; + \foreach \x/\y in {0/5,-1/3,1/2,0.5/1} {% + \rput(\x,\y ){\tikz\draw[fill=red] circle(2pt);};} + \rput(0,5){Center,Middle} + \rput[bl](-1,3){$\underbrace{\text{bottom,left}}_{\text{Really!}}$} + \rput[Br](1,2){$\underbrace{\text{Baseline,right}}_{\text{Really!}}$} + \rput[tr]{45}(0.5,1) + {\parbox{5cm}{\flushright Rotated\\ + by $45^{\circ}$}} + \end{tikzpicture} + \caption{from pstricks} + \label{fig:from pstricks} +\end{marginfigure} + As we have already seen, the \Verb+{\rput}+ macro can be used to place objects. + The second mandatory argument (in curly braces) is the stuff to place the first + mandatory argument (in parenthesis) is the coordinate pair of the point where + the stuff is placed. + Now we turn to the optional arguments of the \Verb+{\rput}+ macro. + The first one is given in brackets. It determines the justification of the + bounding box of the object to place with respect to the point given in paren- + thesis. The admissible values are the same as the values for the option origin + of the \verb+{\includegraphics}+ macro. For an instance \Verb+{[br]}+ for bottom-right. + The default is mc meaning middle - center. + The second optional argument is given in curly braces just before the left + parenthesis. It is a number that stands for the rotation angle as illustrated in + the last instance of the \Verb+{\rput}+ macro on the slide. + The two optional arguments make \Verb+{\rput}+ more + exible than the \Verb+{\put}+ macro + of the picture environment. + \rput[b](-2,0){% + \begin{tikzpicture}[% + every node/.style={inner sep=0pt}] + \tikzset{image/.style={circle, + fill=red, + minimum size = 4pt, + inner sep = 0pt, + outer sep = 1pt} + } + \node[inner sep = 1cm] (wrapper){\tikz + \node(image) {\pgfornament[scale=1.5,opacity=0.2]{1}};}; + \end{tikzpicture}} + +\begin{tkzexample}[code only,small] + \rput[b](-2,0){% + \begin{tikzpicture}[% + every node/.style={inner sep=0pt}] + \tikzset{image/.style={circle, + fill=red, + minimum size = 4pt, + inner sep = 0pt, + outer sep = 1pt} + } + \node[inner sep = 1cm] (wrapper){\tikz + \node(image) {\pgfornament[scale=1.5,opacity=0.2]{1}};}; + \end{tikzpicture}} +\end{tkzexample} +% subsection ex_5_from_pstricks_doc (end) + +\subsection{ex 6 From pstricks again} % (fold) +\label{sub:ex_6_from_pstricks_again} +\def\myEye{ +\begin{tikzpicture} + \filldraw (-0.4,1.5)--(0.7,1.8)--(0.2,2.2)--(-0.5,1.6)--cycle; + \draw [clip] (0,0) circle [x radius=.8cm, y radius=1.5cm]; + \fill[MidnightBlue] (0,-1) circle [radius=1cm]; +\end{tikzpicture} +} +\begin{marginfigure} +\rput{30}(2,-6){Tu as de beaux yeux !} +\rput(3,-3){\myEye} +\rput(1,-3){\reflectbox{\myEye}} + \caption{from pstricks again} + \label{fig:from pstricks again} +\end{marginfigure} +\begin{tkzexample}[code only,small] +\documentclass{scrartcl} +\PassOptionsToPackage{dvipsnames,svgnames}{xcolor} +\usepackage{tikzrput} +\begin{document} + +\rput{30}(7,-5){Tu as de beaux yeux !} +\rput(8,-2){\myEye} +\rput(6,-2){\reflectbox{\myEye}} + \end{document} +\end{tkzexample} +\def\myEye{ +\begin{tikzpicture} + \filldraw (-0.4,1.5)--(0.7,1.8)--(0.2,2.2)--(-0.5,1.6)--cycle; + \draw [clip] (0,0) circle [x radius=.8cm, y radius=1.5cm]; + \fill[MidnightBlue] (0,-1) circle [radius=1cm]; +\end{tikzpicture} +} + + +% subsection ex_6_from_pstricks_again (end) + +\subsection{ex 7 Ancres} % (fold) +\label{sub:ex_7_ancres} +Utilisation des ancres + +\begin{tkzexample}[code only,small] +\documentclass{scrartcl} +\PassOptionsToPackage{dvipsnames,svgnames}{xcolor} +\usepackage{tikzrput} +\begin{document} +-->\rput[] (5,0){\tikz \draw[blue] (0,0) rectangle +(1,2);} + \rput[tl] (5,0){\tikz \draw[red] (0,0) rectangle +(1,2);} + \rput[br] (5,0){\tikz \draw[green] (0,0) rectangle +(1,2);} + \rput[Bl] (5,0){\tikz \draw[orange](0,0) rectangle +(1,2);} +\end{document} +\end{tkzexample} +\begin{marginfigure} +-->\rput[] (5,0) {\tikz \draw[blue] (0,0) rectangle +(1,2);} + \rput[tl] (5,0){\tikz \draw[red] (0,0) rectangle +(1,2);} + \rput[br] (5,0){\tikz \draw[green] (0,0) rectangle +(1,2);} + \rput[Bl] (5,0){\tikz \draw[orange](0,0) rectangle +(1,2);} + \caption{ancres} + \label{fig:ancres} +\end{marginfigure} + +% subsection ex_7_ancres (end) + + +\newpage + +\printindex + +\end{document} + + + + + +
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\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/pgfornament/generic/vectorian/vectorian155.pgf b/obsolete/macros/latex/contrib/tkz/pgfornament/generic/vectorian/vectorian155.pgf new file mode 100644 index 0000000000..982381c584 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/pgfornament/generic/vectorian/vectorian155.pgf @@ -0,0 +1,106 @@ +\m 16.9362 12.08 +\c 16.9362 12.08 15.8331 12.1278 15.8762 12.565 +\c 15.9199 13.0089 16.8932 12.6128 16.9362 12.08 +\m 19.2803 2.5793 +\c 19.2803 2.5793 16.8488 2.3607 16.23 2.8457 +\c 15.6112 3.3306 16.4513 4.4371 19.2803 2.5793 +\m 20.826 5.5846 +\c 20.826 5.5846 18.8814 5.366 17.9983 5.9397 +\c 17.1131 6.5135 17.5113 6.9984 18.2619 6.9574 +\c 19.0146 6.9096 20.3397 6.3359 20.826 5.5846 +\m 22.5048 9.1226 +\c 22.5048 9.1226 19.4996 8.986 19.2345 9.6485 +\c 18.9702 10.3178 21.3123 10.5364 22.5048 9.1226 +\m 33.9514 11.1101 +\c 33.8189 10.3998 31.4325 8.6376 22.9911 9.0748 +\c 22.9911 9.0748 20.7372 11.1989 19.102 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\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/pgfornament/generic/vectorian/vectorian95.pgf b/obsolete/macros/latex/contrib/tkz/pgfornament/generic/vectorian/vectorian95.pgf new file mode 100644 index 0000000000..116f6fa218 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/pgfornament/generic/vectorian/vectorian95.pgf @@ -0,0 +1,56 @@ +\m 2.0456 23.1992 +\c 2.0456 23.1992 10.8264 27.9966 21.8134 27.7091 +\c 32.7997 27.4222 42.1078 22.8153 42.1078 22.8153 +\c 42.1078 22.8153 35.0079 28.3812 21.7656 28.6202 +\c 21.7656 28.6202 10.1066 29.0519 2.0456 23.1992 +\s +\m 0.1749 11.2054 +\c 0.1749 11.2054 3.0053 12.5004 8.2344 16.2427 +\c 13.4649 19.9849 18.7439 21.6644 24.7394 21.1371 +\c 30.737 20.6085 36.4825 17.164 37.8711 12.5004 +\c 37.8711 12.5004 37.1949 18.7282 29.4352 21.2198 +\c 21.6761 23.7114 15.0195 21.2922 10.9275 18.5513 +\c 6.8349 15.8096 3.8023 13.4334 0.1749 11.2054 +\s +\m 42.2492 11.5388 +\c 40.7199 12.2518 38.0493 10.6139 38.0493 10.6139 +\c 41.8578 8.7275 43.7791 10.8277 42.2492 11.5388 +\m 22.9943 11.2546 +\c 25.9846 12.4642 24.5953 15.7748 24.5953 15.7748 +\c 21.6761 16.4148 18.6511 15.6689 18.6511 15.6689 +\c 17.2632 12.4642 20.0041 10.0443 22.9943 11.2546 +\m 26.9797 8.1585 +\c 30.8954 11.4684 29.33 14.2797 29.33 14.2797 +\c 27.4783 15.3466 24.8091 15.7386 24.8091 15.7386 +\c 26.3391 12.0018 23.4923 10.7212 23.4923 10.7212 +\c 20.7165 9.3333 18.7938 11.2546 18.7938 11.2546 +\c 17.0152 13.2115 18.4024 15.6327 18.4024 15.6327 +\c 15.7332 14.9559 13.8461 14.1376 13.8461 14.1376 +\c 14.0954 5.88 23.0647 4.8486 26.9797 8.1585 +\m 0 8.6919 +\c 0 8.6919 4.7695 9.7943 9.681 13.0694 +\c 14.5933 16.3438 20.3948 18.6933 26.6949 16.5924 +\c 32.9943 14.4928 34.4533 12.1439 37.6566 10.7212 +\c 37.6566 10.7212 40.2917 12.3939 42.1057 11.9308 +\c 43.9205 11.4684 43.3871 8.2657 37.9059 10.2588 +\c 37.9059 10.2588 37.5138 5.4538 27.6197 2.9259 +\c 17.7249 0.3974 9.1114 5.0617 5.4463 9.2254 +\c 5.4463 9.2254 10.9986 3.4607 20.2165 3.0687 +\c 29.4352 2.6766 36.8745 6.0924 37.6921 10.3646 +\l 37.3725 10.4712 +\c 37.3725 10.4712 31.9971 5.169 24.5236 4.2421 +\c 17.0501 3.318 10.3217 5.0966 6.0863 10.0443 +\c 6.0863 10.0443 11.4965 4.4204 19.8252 4.3145 +\c 28.1545 4.208 32.6023 7.162 37.1594 10.6139 +\c 37.1594 10.6139 33.5278 12.5359 29.6496 14.2442 +\c 29.6496 14.2442 31.1079 9.7943 26.4463 6.7337 +\c 21.7834 3.6732 13.5968 6.3069 13.5612 14.0304 +\c 13.5612 14.0304 11.4261 13.0332 7.7604 11.1119 +\c 4.0947 9.1899 1.3517 8.7978 0 8.6919 +\s +\m 4.2039 8.8087 +\c 4.2039 8.8087 10.556 0.0949 23.0599 0.7355 +\c 23.0599 0.7355 34.9252 0.489 40.7855 9.0553 +\c 40.7855 9.0553 37.5835 1.2273 24.6855 0.1434 +\c 24.6855 0.1434 11.9336 -1.8237 4.2039 8.8087 +\s diff --git a/obsolete/macros/latex/contrib/tkz/pgfornament/generic/vectorian/vectorian96.pgf b/obsolete/macros/latex/contrib/tkz/pgfornament/generic/vectorian/vectorian96.pgf new file mode 100644 index 0000000000..9a041b1cb0 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/pgfornament/generic/vectorian/vectorian96.pgf @@ -0,0 +1,28 @@ +\m 20.2027 7.9981 +\c 20.3331 6.3384 22.4156 5.2319 22.4156 5.2319 +\c 22.7735 9.2685 20.0729 9.6578 20.2027 7.9981 +\m 7.6673 5.2319 +\c 7.6673 5.2319 9.7498 6.3384 9.8803 7.9981 +\c 10.0101 9.6578 7.3101 9.2685 7.6673 5.2319 +\m 14.9879 0 +\c 9.7826 0 7.5696 4.4191 7.5696 4.4191 +\c 4.8697 3.6063 2.5925 4.5489 2.5925 4.5489 +\c -0.6614 5.8193 -0.9209 10.573 2.2018 13.0456 +\c 5.3253 15.5112 8.1885 14.5072 8.1885 14.5072 +\c 1.8112 14.8351 -0.5965 9.4324 1.0633 6.8643 +\c 2.723 4.2893 7.3101 5.1363 7.3101 5.1363 +\c 6.789 9.5622 10.0749 10.2794 10.2047 8.2303 +\c 10.3352 6.1813 7.9931 4.8767 7.9931 4.8767 +\c 9.2943 1.3319 14.8574 1.2294 14.8574 1.2294 +\l 15.2255 1.2294 +\c 15.2255 1.2294 20.7887 1.3319 22.0898 4.8767 +\c 22.0898 4.8767 19.7478 6.1813 19.8782 8.2303 +\c 20.008 10.2794 23.294 9.5622 22.7735 5.1363 +\c 22.7735 5.1363 27.3606 4.2893 29.0204 6.8643 +\c 30.6787 9.4324 28.2711 14.8351 21.8952 14.5072 +\c 21.8952 14.5072 24.7584 15.5112 27.8818 13.0456 +\c 31.0038 10.573 30.7443 5.8193 27.4904 4.5489 +\c 27.4904 4.5489 25.2133 3.6063 22.5126 4.4191 +\c 22.5126 4.4191 20.301 0 15.0958 0 +\o +\s
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/pgfornament/generic/vectorian/vectorian97.pgf b/obsolete/macros/latex/contrib/tkz/pgfornament/generic/vectorian/vectorian97.pgf new file mode 100644 index 0000000000..b012462d6d --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/pgfornament/generic/vectorian/vectorian97.pgf @@ -0,0 +1,56 @@ +\m 0 10.7835 +\c 0 10.7835 4.3515 9.3492 10.2992 11.9037 +\c 16.2468 14.4581 22.6337 15.8925 27.1443 12.3408 +\c 27.1443 12.3408 29.8586 10.1073 28.302 6.9928 +\c 28.302 6.9928 26.9845 4.6364 24.43 5.8317 +\c 24.43 5.8317 23.1726 6.4737 23.2539 7.8944 +\c 23.3345 9.3082 24.65 9.4926 24.65 9.4926 +\c 24.65 9.4926 21.8981 10.9474 18.7999 8.7003 +\c 15.7038 6.4532 12.424 4.773 8.1538 6.3166 +\c 8.1538 6.3166 11.7369 5.3399 15.7646 7.6485 +\c 19.793 9.9571 22.0798 11.1114 25.4197 9.3492 +\c 25.4197 9.3492 23.6794 9.2467 23.6794 7.8944 +\c 23.6794 6.5352 24.9949 5.5038 26.4722 5.9478 +\c 27.9496 6.3917 28.9215 8.1129 28.274 10.2439 +\c 27.6258 12.3681 24.0434 14.8338 19.4283 13.7615 +\c 14.8132 12.6891 12.1016 11.1114 8.1128 10.3191 +\c 8.1128 10.3191 2.8598 9.0009 0 10.7835 +\s +\m 2.0511 8.8369 +\c 2.0511 8.8369 7.1095 7.2455 13.0913 10.0185 +\c 19.0738 12.7847 23.1357 13.4131 25.794 11.2753 +\c 25.794 11.2753 27.3451 9.8683 26.5692 7.99 +\l 26.1266 8.5432 +\c 26.1266 8.5432 26.7912 8.5432 26.4586 9.8341 +\c 26.1266 11.125 23.5783 13.0443 18.9256 11.4187 +\c 14.2736 9.8 10.3224 6.3644 2.0511 8.8369 +\s +\m 23.4683 8.1744 +\c 23.4683 8.1744 19.6838 8.6457 17.3465 5.8931 +\c 17.3465 5.8931 15.9989 4.09 16.9449 2.7376 +\c 16.9449 2.7376 17.3943 2.0546 18.3164 2.1707 +\c 19.2398 2.2868 19.7118 3.1884 19.7118 3.1884 +\c 19.7118 3.1884 18.8607 2.2458 17.7727 2.6693 +\c 16.6847 3.0928 16.7086 5.4082 19.192 6.8084 +\c 21.6754 8.2017 23.4963 8.0105 23.4963 8.0105 +\o +\s +\m 25.223 5.8112 +\c 25.223 5.8112 22.006 6.6649 20.2083 4.3973 +\c 18.4113 2.1229 19.901 0.3949 20.918 0.2993 +\c 21.9357 0.2105 23.118 0.6544 22.952 2.362 +\c 22.952 2.362 22.8577 0.6544 21.2492 0.6544 +\c 19.6414 0.6544 19.4994 3.045 20.8948 4.3973 +\c 22.2901 5.7429 23.9929 5.859 25.223 5.8112 +\s +\m 26.5248 5.7224 +\c 26.5248 5.7224 24.2606 5.2853 23.9444 2.8742 +\c 23.6275 0.4632 25.8924 -0.2676 27.4018 0.7842 +\c 28.9106 1.8292 28.6913 4.0968 27.4988 4.411 +\c 26.3056 4.7252 25.5754 3.5094 25.7216 2.2663 +\c 25.7216 2.2663 25.113 3.366 26.087 4.3837 +\c 27.0603 5.4082 29.2753 4.6501 28.6913 2.2937 +\c 28.1067 -0.0696 25.6478 -0.4316 24.2845 0.4154 +\c 24.2845 0.4154 23.0681 1.194 23.3113 3.0723 +\c 23.5544 4.9438 25.1615 5.8453 26.5248 5.7224 +\s
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/pgfornament/generic/vectorian/vectorian98.pgf b/obsolete/macros/latex/contrib/tkz/pgfornament/generic/vectorian/vectorian98.pgf new file mode 100644 index 0000000000..cd1839f354 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/pgfornament/generic/vectorian/vectorian98.pgf @@ -0,0 +1,56 @@ +\m 28.7874 10.7835 +\c 28.7874 10.7835 24.4359 9.3492 18.4889 11.9037 +\c 12.5406 14.4581 6.1537 15.8925 1.6431 12.3408 +\c 1.6431 12.3408 -1.0712 10.1073 0.4854 6.9928 +\c 0.4854 6.9928 1.8029 4.6364 4.3574 5.8317 +\c 4.3574 5.8317 5.6141 6.4737 5.5335 7.8944 +\c 5.4529 9.3082 4.1368 9.4926 4.1368 9.4926 +\c 4.1368 9.4926 6.8893 10.9474 9.9868 8.7003 +\c 13.0836 6.4532 16.3634 4.773 20.6336 6.3166 +\c 20.6336 6.3166 17.0505 5.3399 13.0221 7.6485 +\c 8.9944 9.9571 6.7076 11.1114 3.3677 9.3492 +\c 3.3677 9.3492 5.1087 9.2467 5.1087 7.8944 +\c 5.1087 6.5352 3.7925 5.5038 2.3152 5.9478 +\c 0.8371 6.3917 -0.1341 8.1129 0.5134 10.2439 +\c 1.1616 12.3681 4.744 14.8338 9.3591 13.7615 +\c 13.9742 12.6891 16.6865 11.1114 20.6739 10.3191 +\c 20.6739 10.3191 25.927 9.0009 28.7874 10.7835 +\s +\m 26.737 8.8369 +\c 26.737 8.8369 21.6772 7.2455 15.6954 10.0185 +\c 9.7136 12.7847 5.6524 13.4131 2.9927 11.2753 +\c 2.9927 11.2753 1.443 9.8683 2.2182 7.99 +\l 2.6608 8.5432 +\c 2.6608 8.5432 1.9962 8.5432 2.3295 9.8341 +\c 2.6608 11.125 5.2098 13.0443 9.8618 11.4187 +\c 14.5145 9.8 18.4657 6.3644 26.737 8.8369 +\s +\m 5.3198 8.1744 +\c 5.3198 8.1744 9.1043 8.6457 11.4409 5.8931 +\c 11.4409 5.8931 12.7892 4.09 11.8425 2.7376 +\c 11.8425 2.7376 11.3931 2.0546 10.471 2.1707 +\c 9.5483 2.2868 9.0756 3.1884 9.0756 3.1884 +\c 9.0756 3.1884 9.9274 2.2458 11.0147 2.6693 +\c 12.1034 3.0928 12.0789 5.4082 9.5961 6.8084 +\c 7.1127 8.2017 5.2911 8.0105 5.2911 8.0105 +\o +\s +\m 3.5651 5.8112 +\c 3.5651 5.8112 6.7814 6.6649 8.5784 4.3973 +\c 10.3768 2.1229 8.8864 0.3949 7.8694 0.2993 +\c 6.8524 0.2105 5.6701 0.6544 5.8354 2.362 +\c 5.8354 2.362 5.9297 0.6544 7.5382 0.6544 +\c 9.1467 0.6544 9.2887 3.045 7.8927 4.3973 +\c 6.4973 5.7429 4.7945 5.859 3.5651 5.8112 +\s +\m 2.2626 5.7224 +\c 2.2626 5.7224 4.5268 5.2853 4.8437 2.8742 +\c 5.1599 0.4632 2.8957 -0.2676 1.387 0.7842 +\c -0.1232 1.8292 0.0961 4.0968 1.2886 4.411 +\c 2.4818 4.7252 3.212 3.5094 3.0658 2.2663 +\c 3.0658 2.2663 3.6751 3.366 2.7011 4.3837 +\c 1.7264 5.4082 -0.4879 4.6501 0.0961 2.2937 +\c 0.68 -0.0696 3.1389 -0.4316 4.5029 0.4154 +\c 4.5029 0.4154 5.7193 1.194 5.4762 3.0723 +\c 5.233 4.9438 3.6266 5.8453 2.2626 5.7224 +\s
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/pgfornament/generic/vectorian/vectorian99.pgf b/obsolete/macros/latex/contrib/tkz/pgfornament/generic/vectorian/vectorian99.pgf new file mode 100644 index 0000000000..45329775a6 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/pgfornament/generic/vectorian/vectorian99.pgf @@ -0,0 +1,90 @@ +\m 11.0228 7.8321 +\c 11.0228 7.8321 12.3465 6.8131 13.2126 7.4503 +\c 14.0786 8.0869 12.6791 9.5888 11.0228 7.8321 +\m 39.5878 7.5268 +\c 39.5878 7.5268 41.1922 5.9989 41.9046 6.7885 +\c 42.617 7.5774 40.8862 8.6463 39.5878 7.5268 +\m 24.6947 3.174 +\c 26.5279 2.3325 27.9793 1.7226 29.6083 1.9001 +\c 31.2373 2.0784 31.8985 3.3509 31.8985 3.3509 +\c 28.8693 4.2436 26.0437 5.8971 26.0437 5.8971 +\c 25.4078 3.9888 24.6947 3.174 24.6947 3.174 +\m 22.5815 9.2077 +\c 23.0903 7.7816 25.7131 6.7885 25.7131 6.7885 +\c 25.0499 11.9056 22.0726 10.6325 22.5815 9.2077 +\m 13.5438 7.2461 +\c 12.5009 6.3302 10.8193 7.4763 10.8193 7.4763 +\c 10.3357 5.5666 12.7802 2.2567 17.7457 1.6208 +\c 22.7085 0.9849 24.1599 3.1494 24.1599 3.1494 +\c 20.57 5.4142 17.7703 8.1634 14.6387 9.9447 +\c 11.5071 11.7267 7.2813 10.862 7.2813 10.862 +\c 8.8338 9.1811 10.5898 8.0869 10.5898 8.0869 +\c 12.908 10.0219 14.5875 8.1634 13.5438 7.2461 +\m 17.3878 10.8367 +\c 17.3878 11.4719 16.2424 11.7779 16.2424 11.7779 +\c 16.3695 10.5307 17.3878 10.1994 17.3878 10.8367 +\m 6.2622 12.0326 +\l 6.9753 11.168 +\c 6.9753 11.168 10.7947 12.1597 14.3587 10.3524 +\c 17.9226 8.5459 20.9532 5.363 24.3635 3.3509 +\c 24.3635 3.3509 25.4836 4.6759 25.6366 6.4818 +\c 25.6366 6.4818 22.5569 7.7816 22.1498 9.5376 +\c 21.7414 11.2943 24.0841 11.6263 25.2548 9.4884 +\c 25.2548 9.4884 25.9924 8.3669 26.0942 6.2537 +\c 26.0942 6.2537 29.0216 4.5475 32.0009 3.6582 +\c 32.0009 3.6582 32.7147 5.057 31.2885 6.5603 +\c 29.8624 8.0609 27.4445 7.6798 27.4445 7.6798 +\c 27.4445 7.6798 27.2915 11.0156 24.5936 12.9752 +\c 21.895 14.9348 17.0825 14.9355 16.3182 12.0586 +\c 16.3182 12.0586 17.5668 11.6768 17.6166 10.7588 +\c 17.6686 9.8429 16.5218 9.5888 15.8866 12.0074 +\c 15.8866 12.0074 14.8682 12.771 12.4483 12.9991 +\c 10.0304 13.2293 6.2622 12.0326 6.2622 12.0326 +\m 0.8152 13.2539 +\c 1.5276 12.5934 4.7603 13.0258 4.7603 13.0258 +\c 1.5788 14.859 0.1021 13.9164 0.8152 13.2539 +\m 2.4947 4.4976 +\c 2.4947 4.4976 3.3096 3.4533 4.4044 3.6828 +\c 5.4986 3.9109 4.9386 5.7182 2.4947 4.4976 +\m 1.85 5.0113 +\c 1.1021 10.0622 6.6188 11.1167 6.6188 11.1167 +\l 5.836 11.9568 +\c 5.836 11.9568 3.2713 11.7185 1.7325 12.2314 +\c 0.1943 12.745 -0.8718 13.9676 0.9825 14.3631 +\c 2.8383 14.7572 5.1653 13.021 5.1653 13.021 +\c 5.1653 13.021 7.1775 13.4943 10.1766 13.6924 +\c 13.175 13.8884 15.9364 12.271 15.9364 12.271 +\c 16.7656 14.4013 19.5673 16.0597 23.6319 14.2046 +\c 27.6952 12.3489 27.6563 8.0486 27.6563 8.0486 +\c 27.6563 8.0486 30.7339 9.0356 32.1942 7.063 +\c 33.6552 5.0898 32.6662 3.3536 32.6662 3.3536 +\c 39.7695 1.0648 43.8348 1.6174 43.8348 1.6174 +\c 40.8357 2.0122 38.6248 3.1562 38.6248 3.1562 +\c 35.2323 5.0509 34.6797 7.9694 33.2194 10.8907 +\c 31.7591 13.8092 28.6822 14.4403 28.6822 14.4403 +\c 39.6117 17.0453 44.6223 10.5341 44.8204 6.865 +\c 45.0171 3.1958 41.7031 3.1173 40.2435 4.4191 +\c 38.7846 5.7209 39.2559 7.3779 39.2559 7.3779 +\c 39.2559 7.3779 38.0333 10.0615 36.4555 12.1132 +\c 34.8778 14.1643 33.259 14.0858 33.259 14.0858 +\c 35.5874 14.3235 37.3626 12.6262 38.0333 10.6926 +\c 38.7047 8.7583 39.415 7.8915 39.415 7.8915 +\c 42.492 9.1551 43.7556 6.9046 42.5712 6.1949 +\c 41.3876 5.4839 39.454 7.2201 39.454 7.2201 +\c 39.1384 5.0509 41.3473 3.4711 43.399 4.3802 +\c 45.4508 5.2879 44.3867 9.8648 39.8481 12.745 +\c 35.3108 15.6253 29.5899 14.3235 29.5899 14.3235 +\c 32.6272 13.4943 33.3779 11.2861 34.8778 8.4045 +\c 36.377 5.5235 37.3236 4.6568 37.3236 4.6568 +\c 39.7306 2.2498 45.2145 1.6174 45.2145 1.6174 +\c 39.5325 0.4337 32.5883 3.0777 32.5883 3.0777 +\c 29.9054 -0.2766 24.4994 2.9588 24.4994 2.9588 +\c 23.3553 1.5395 18.62 -0.1564 14.0042 1.9343 +\c 9.387 4.0257 10.4136 7.8123 10.4136 7.8123 +\c 8.7163 8.8778 6.823 10.7855 6.823 10.7855 +\c 1.35 9.6653 2.2065 5.3664 2.2065 5.3664 +\c 4.8491 6.826 6.599 4.6008 5.2049 3.5899 +\c 3.5391 2.3851 2.0617 4.4211 2.0617 4.4211 +\c 0.4839 3.1972 0.1943 0 0.1943 0 +\c -0.2742 3.1145 1.85 5.0113 1.85 5.0113 +\s
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/pgfornament/latex/pgflibraryam.code.tex b/obsolete/macros/latex/contrib/tkz/pgfornament/latex/pgflibraryam.code.tex new file mode 100644 index 0000000000..498ac1b246 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/pgfornament/latex/pgflibraryam.code.tex @@ -0,0 +1,29 @@ +% utf8 +% author Alain Matthes d'après des travaux de F Fradin et H Voss sur un fichier +% 21/01/2012 +\makeatletter + +% dimensions des motifs +\def\@pgfornamentDim#1{% dim en bp +\ifcase#1\relax% +\or\def\@pgfornamentX{136}\def\@pgfornamentY{107}% 1 +\or\def\@pgfornamentX{133}\def\@pgfornamentY{48}% 2 +\fi% +}% +% appels des motifs +\def\pgf@@ornament#1{% +\begingroup +\def\i{\pgfusepath{clip}} +\let\o\pgfpathclose +\let\s\pgfusepathqfillstroke +\def\p ##1##2{\pgfqpoint{##1bp}{##2bp}} +\def\m ##1 ##2 {\pgfpathmoveto{\p{##1}{##2}}} +\def\l ##1 ##2 {\pgfpathlineto{\p{##1}{##2}}} +\def\r ##1 ##2 ##3 ##4 {\pgfpathrectangle{\p{##1}{##2}}{\p{##3}{##4}}} +\def\c ##1 ##2 ##3 ##4 ##5 ##6 {% +\pgfpathcurveto{\p{##1}{##2}}{\p{##3}{##4}}{\p{##5}{##6}}}% +\@@input am#1.pgf +%\@nameuse{pgf@@am@#1}% +\endgroup}% +\makeatother +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/pgfornament/latex/pgflibraryvectorian.code.tex b/obsolete/macros/latex/contrib/tkz/pgfornament/latex/pgflibraryvectorian.code.tex new file mode 100644 index 0000000000..ef2ed4e693 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/pgfornament/latex/pgflibraryvectorian.code.tex @@ -0,0 +1,208 @@ +% utf8 +% author Alain Matthes d'après des travaux de F Fradin et H Voss sur un fichier +% 21/01/2012 +\makeatletter +% dimensions des motifs +\def\@pgfornamentDim#1{% dim en bp +\ifcase#1\relax% +\or\def\@pgfornamentX{136}\def\@pgfornamentY{107}% 1 +\or\def\@pgfornamentX{134}\def\@pgfornamentY{48}% 2 +\or\def\@pgfornamentX{130}\def\@pgfornamentY{65}% 3 +\or\def\@pgfornamentX{133}\def\@pgfornamentY{133}% 4 +\or\def\@pgfornamentX{129}\def\@pgfornamentY{146}% 5 +\or\def\@pgfornamentX{134}\def\@pgfornamentY{148}% 6 +\or\def\@pgfornamentX{136}\def\@pgfornamentY{135}% 7 +\or\def\@pgfornamentX{134}\def\@pgfornamentY{134}% 8 +\or\def\@pgfornamentX{79}\def\@pgfornamentY{105}% 9 +\or\def\@pgfornamentX{80}\def\@pgfornamentY{99}% 10 +\or\def\@pgfornamentX{123}\def\@pgfornamentY{67}% 11 +\or\def\@pgfornamentX{136}\def\@pgfornamentY{136}% 12 +\or\def\@pgfornamentX{136}\def\@pgfornamentY{236}% 13 +\or\def\@pgfornamentX{123}\def\@pgfornamentY{67}% 14 +\or\def\@pgfornamentX{103}\def\@pgfornamentY{52}% 15 +\or\def\@pgfornamentX{103}\def\@pgfornamentY{52}% 16 +\or\def\@pgfornamentX{74}\def\@pgfornamentY{59}% 17 +\or\def\@pgfornamentX{74}\def\@pgfornamentY{59}% 18 +\or\def\@pgfornamentX{81}\def\@pgfornamentY{81}% 19 +\or\def\@pgfornamentX{81}\def\@pgfornamentY{81}% 20 +\or\def\@pgfornamentX{70}\def\@pgfornamentY{58}% 21 +\or\def\@pgfornamentX{34}\def\@pgfornamentY{61}% 22 +\or\def\@pgfornamentX{68}\def\@pgfornamentY{55}% 23 +\or\def\@pgfornamentX{79}\def\@pgfornamentY{76}% 24 +\or\def\@pgfornamentX{80}\def\@pgfornamentY{88}% 25 +\or\def\@pgfornamentX{59}\def\@pgfornamentY{120}% 26 +\or\def\@pgfornamentX{101}\def\@pgfornamentY{98}% 27 +\or\def\@pgfornamentX{52}\def\@pgfornamentY{102}% 28 +\or\def\@pgfornamentX{65}\def\@pgfornamentY{65}% 29 +\or\def\@pgfornamentX{63}\def\@pgfornamentY{64}% 30 +\or\def\@pgfornamentX{48}\def\@pgfornamentY{48}% 31 +\or\def\@pgfornamentX{48}\def\@pgfornamentY{48}% 32 +\or\def\@pgfornamentX{85}\def\@pgfornamentY{85}% 33 +\or\def\@pgfornamentX{85}\def\@pgfornamentY{85}% 34 +\or\def\@pgfornamentX{97}\def\@pgfornamentY{97}% 35 +\or\def\@pgfornamentX{97}\def\@pgfornamentY{97}% 36 +\or\def\@pgfornamentX{105}\def\@pgfornamentY{104}% 37 +\or\def\@pgfornamentX{105}\def\@pgfornamentY{104}% 38 +\or\def\@pgfornamentX{112}\def\@pgfornamentY{112}% 39 +\or\def\@pgfornamentX{112}\def\@pgfornamentY{112}% 40 +\or\def\@pgfornamentX{111}\def\@pgfornamentY{113}% 41 +\or\def\@pgfornamentX{111}\def\@pgfornamentY{113}% 42 +\or\def\@pgfornamentX{123}\def\@pgfornamentY{63}% 43 +\or\def\@pgfornamentX{123}\def\@pgfornamentY{63}% 44 +\or\def\@pgfornamentX{385}\def\@pgfornamentY{64}% 45 +\or\def\@pgfornamentX{453}\def\@pgfornamentY{97}% 46 +\or\def\@pgfornamentX{114}\def\@pgfornamentY{32}% 47 +\or\def\@pgfornamentX{114}\def\@pgfornamentY{32}% 48 +\or\def\@pgfornamentX{163}\def\@pgfornamentY{61}% 49 +\or\def\@pgfornamentX{164}\def\@pgfornamentY{125}% 50 +\or\def\@pgfornamentX{164}\def\@pgfornamentY{125}% 51 +\or\def\@pgfornamentX{248}\def\@pgfornamentY{197}% 52 +\or\def\@pgfornamentX{134}\def\@pgfornamentY{134}% 53 +\or\def\@pgfornamentX{134}\def\@pgfornamentY{134}% 54 +\or\def\@pgfornamentX{269}\def\@pgfornamentY{116}% 55 +\or\def\@pgfornamentX{269}\def\@pgfornamentY{116}% 56 +\or\def\@pgfornamentX{207}\def\@pgfornamentY{103}% 57 +\or\def\@pgfornamentX{228}\def\@pgfornamentY{116}% 58 +\or\def\@pgfornamentX{204}\def\@pgfornamentY{102}% 59 +\or\def\@pgfornamentX{451}\def\@pgfornamentY{189}% 60 +\or\def\@pgfornamentX{205}\def\@pgfornamentY{205}% 61 +\or\def\@pgfornamentX{205}\def\@pgfornamentY{205}% 62 +\or\def\@pgfornamentX{212}\def\@pgfornamentY{212}% 63 +\or\def\@pgfornamentX{212}\def\@pgfornamentY{212}% 64 +\or\def\@pgfornamentX{132}\def\@pgfornamentY{166}% 65 +\or\def\@pgfornamentX{177}\def\@pgfornamentY{175}% 66 +\or\def\@pgfornamentX{80} \def\@pgfornamentY{155}% 67 +\or\def\@pgfornamentX{361}\def\@pgfornamentY{154}% 68 +\or\def\@pgfornamentX{448}\def\@pgfornamentY{227}% 69 +\or\def\@pgfornamentX{226}\def\@pgfornamentY{79}% 70 +\or\def\@pgfornamentX{443}\def\@pgfornamentY{81}% 71 +\or\def\@pgfornamentX{216}\def\@pgfornamentY{58}% 72 +\or\def\@pgfornamentX{216}\def\@pgfornamentY{58}% 73 +\or\def\@pgfornamentX{308}\def\@pgfornamentY{93}% 74 +\or\def\@pgfornamentX{373}\def\@pgfornamentY{120}% 75 +\or\def\@pgfornamentX{308}\def\@pgfornamentY{93}% 76 +\or\def\@pgfornamentX{207}\def\@pgfornamentY{89}% 77 +\or\def\@pgfornamentX{207}\def\@pgfornamentY{132}% 78 +\or\def\@pgfornamentX{249}\def\@pgfornamentY{122}% 79 +\or\def\@pgfornamentX{454}\def\@pgfornamentY{31}% 80 +\or\def\@pgfornamentX{176}\def\@pgfornamentY{45}% 81 +\or\def\@pgfornamentX{454}\def\@pgfornamentY{24}% 82 +\or\def\@pgfornamentX{449}\def\@pgfornamentY{20}% 83 +\or\def\@pgfornamentX{290}\def\@pgfornamentY{57}% 84 +\or\def\@pgfornamentX{453}\def\@pgfornamentY{22}% 85 +\or\def\@pgfornamentX{454}\def\@pgfornamentY{17}% 86 +\or\def\@pgfornamentX{360}\def\@pgfornamentY{44}% 87 +\or\def\@pgfornamentX{454}\def\@pgfornamentY{15}% 88 +\or\def\@pgfornamentX{454}\def\@pgfornamentY{10}% 89 +\or\def\@pgfornamentX{30} \def\@pgfornamentY{30}% 90 +\or\def\@pgfornamentX{44}\def\@pgfornamentY{29}% 91 +\or\def\@pgfornamentX{43}\def\@pgfornamentY{29}% 92 +\or\def\@pgfornamentX{59}\def\@pgfornamentY{29}% 93 +\or\def\@pgfornamentX{59}\def\@pgfornamentY{29}% 94 +\or\def\@pgfornamentX{43}\def\@pgfornamentY{29}% 95 +\or\def\@pgfornamentX{30}\def\@pgfornamentY{15}% 96 +\or\def\@pgfornamentX{29}\def\@pgfornamentY{14}% 97 +\or\def\@pgfornamentX{29}\def\@pgfornamentY{14}% 98 +\or\def\@pgfornamentX{45}\def\@pgfornamentY{15}% 99 +\or\def\@pgfornamentX{29}\def\@pgfornamentY{30}% 100 +\or\def\@pgfornamentX{132}\def\@pgfornamentY{30}% 101 +\or\def\@pgfornamentX{43}\def\@pgfornamentY{29}%102 +\or\def\@pgfornamentX{42}\def\@pgfornamentY{30}%103 +\or\def\@pgfornamentX{44}\def\@pgfornamentY{29}%104 +\or\def\@pgfornamentX{45}\def\@pgfornamentY{30}%105 +\or\def\@pgfornamentX{44}\def\@pgfornamentY{30}%106 +\or\def\@pgfornamentX{44}\def\@pgfornamentY{29}%107 +\or\def\@pgfornamentX{59}\def\@pgfornamentY{29}%108 +\or\def\@pgfornamentX{72}\def\@pgfornamentY{29}%109 +\or\def\@pgfornamentX{29}\def\@pgfornamentY{15}%110 +\or\def\@pgfornamentX{43}\def\@pgfornamentY{28}%111 +\or\def\@pgfornamentX{15}\def\@pgfornamentY{59}%112 +\or\def\@pgfornamentX{57}\def\@pgfornamentY{28}%113 +\or\def\@pgfornamentX{44}\def\@pgfornamentY{29}%114 +\or\def\@pgfornamentX{43}\def\@pgfornamentY{29}%115 +\or\def\@pgfornamentX{29}\def\@pgfornamentY{29}%116 +\or\def\@pgfornamentX{29}\def\@pgfornamentY{29}%117 +\or\def\@pgfornamentX{29}\def\@pgfornamentY{29}%118 +\or\def\@pgfornamentX{44}\def\@pgfornamentY{29}%119 +\or\def\@pgfornamentX{29}\def\@pgfornamentY{44}%120 +\or\def\@pgfornamentX{30}\def\@pgfornamentY{44}%121 +\or\def\@pgfornamentX{44}\def\@pgfornamentY{29}%122 +\or\def\@pgfornamentX{59}\def\@pgfornamentY{29}%123 +\or\def\@pgfornamentX{58}\def\@pgfornamentY{59}%124 +\or\def\@pgfornamentX{30}\def\@pgfornamentY{44}%125 +\or\def\@pgfornamentX{29}\def\@pgfornamentY{43}%126 +\or\def\@pgfornamentX{44}\def\@pgfornamentY{28}%127 +\or\def\@pgfornamentX{45}\def\@pgfornamentY{29}%128 +\or\def\@pgfornamentX{44}\def\@pgfornamentY{29}%129 +\or\def\@pgfornamentX{29}\def\@pgfornamentY{29}%130 +\or\def\@pgfornamentX{45}\def\@pgfornamentY{44}%131 +\or\def\@pgfornamentX{45}\def\@pgfornamentY{44}%132 +\or\def\@pgfornamentX{15}\def\@pgfornamentY{15}%133 +\or\def\@pgfornamentX{15}\def\@pgfornamentY{15}%134 +\or\def\@pgfornamentX{15}\def\@pgfornamentY{14}%135 +\or\def\@pgfornamentX{72}\def\@pgfornamentY{44}%136 +\or\def\@pgfornamentX{149}\def\@pgfornamentY{74}%137 +\or\def\@pgfornamentX{15}\def\@pgfornamentY{7}%138 +\or\def\@pgfornamentX{73}\def\@pgfornamentY{37}%139 +\or\def\@pgfornamentX{15}\def\@pgfornamentY{15}%140 +\or\def\@pgfornamentX{15}\def\@pgfornamentY{15}%141 +\or\def\@pgfornamentX{30}\def\@pgfornamentY{30}%142 +\or\def\@pgfornamentX{30}\def\@pgfornamentY{30}%143 +\or\def\@pgfornamentX{29}\def\@pgfornamentY{30}%144 +\or\def\@pgfornamentX{15}\def\@pgfornamentY{15}%145 +\or\def\@pgfornamentX{15}\def\@pgfornamentY{15}%146 +\or\def\@pgfornamentX{31}\def\@pgfornamentY{29}%147 +\or\def\@pgfornamentX{30}\def\@pgfornamentY{44}%148 +\or\def\@pgfornamentX{29}\def\@pgfornamentY{28}%149 +\or\def\@pgfornamentX{30}\def\@pgfornamentY{44}%150 +\or\def\@pgfornamentX{43}\def\@pgfornamentY{29}%151 +\or\def\@pgfornamentX{57}\def\@pgfornamentY{28}%152 +\or\def\@pgfornamentX{57}\def\@pgfornamentY{28}%153 +\or\def\@pgfornamentX{34}\def\@pgfornamentY{17}%154 +\or\def\@pgfornamentX{34}\def\@pgfornamentY{17}%155 +\or\def\@pgfornamentX{45}\def\@pgfornamentY{28}%156 +\or\def\@pgfornamentX{44}\def\@pgfornamentY{29}%157 +\or\def\@pgfornamentX{58}\def\@pgfornamentY{29}%158 +\or\def\@pgfornamentX{43}\def\@pgfornamentY{29}%159 +\or\def\@pgfornamentX{43}\def\@pgfornamentY{30}%160 +\or\def\@pgfornamentX{44}\def\@pgfornamentY{29}%161 +\or\def\@pgfornamentX{30}\def\@pgfornamentY{44}%162 +\or\def\@pgfornamentX{46}\def\@pgfornamentY{29}%163 +\or\def\@pgfornamentX{29}\def\@pgfornamentY{44}%164 +\or\def\@pgfornamentX{45}\def\@pgfornamentY{26}%165 +\or\def\@pgfornamentX{44}\def\@pgfornamentY{29}%166 +\or\def\@pgfornamentX{44}\def\@pgfornamentY{29}%167 +\or\def\@pgfornamentX{59}\def\@pgfornamentY{30}%168 +\or\def\@pgfornamentX{58}\def\@pgfornamentY{29}%169 +\or\def\@pgfornamentX{59}\def\@pgfornamentY{30}%170 +\or\def\@pgfornamentX{30}\def\@pgfornamentY{29}%171 +\or\def\@pgfornamentX{29}\def\@pgfornamentY{15}%172 +\or\def\@pgfornamentX{29}\def\@pgfornamentY{44}%173 +\or\def\@pgfornamentX{28}\def\@pgfornamentY{44}%174 +\or\def\@pgfornamentX{29}\def\@pgfornamentY{42}%175 +\or\def\@pgfornamentX{29}\def\@pgfornamentY{43}%176 +\or\def\@pgfornamentX{31}\def\@pgfornamentY{44}%177 +\or\def\@pgfornamentX{28}\def\@pgfornamentY{44}%178 +\or\def\@pgfornamentX{29}\def\@pgfornamentY{44}%179 +\or\def\@pgfornamentX{30}\def\@pgfornamentY{45}%180 +\or\def\@pgfornamentX{43}\def\@pgfornamentY{30}%181 +\or\def\@pgfornamentX{45}\def\@pgfornamentY{29}%182 +\or\def\@pgfornamentX{44}\def\@pgfornamentY{27}%183 +\or\def\@pgfornamentX{42}\def\@pgfornamentY{29}%184 +\or\def\@pgfornamentX{45}\def\@pgfornamentY{29}%185 +\or\def\@pgfornamentX{43}\def\@pgfornamentY{14}%186 +\or\def\@pgfornamentX{28}\def\@pgfornamentY{29}%187 +\or\def\@pgfornamentX{30}\def\@pgfornamentY{30}%188 +\or\def\@pgfornamentX{44}\def\@pgfornamentY{29}%189 +\or\def\@pgfornamentX{44}\def\@pgfornamentY{29}%190 +\or\def\@pgfornamentX{73}\def\@pgfornamentY{58}%191 +\or\def\@pgfornamentX{29}\def\@pgfornamentY{44}%192 +\or\def\@pgfornamentX{44}\def\@pgfornamentY{14}%193 +\or\def\@pgfornamentX{90}\def\@pgfornamentY{90}%194 +\or\def\@pgfornamentX{90}\def\@pgfornamentY{90}%195 +\or\def\@pgfornamentX{148}\def\@pgfornamentY{30}%196 + +\fi% +}% +\makeatother +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/pgfornament/latex/pgfornament.sty b/obsolete/macros/latex/contrib/tkz/pgfornament/latex/pgfornament.sty new file mode 100644 index 0000000000..59702dc8df --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/pgfornament/latex/pgfornament.sty @@ -0,0 +1,171 @@ +% utf8 +% ------------------------------------------------ +% Created by Alain Matthes le 2012-02-22. +% Copyright (C) 2016 Alain Matthes +% This file may be distributed and/or modified +% +% 1. under the LaTeX Project Public License , either version 1.3 +% of this license or (at your option) any later version and/or +% 2. under the GNU Public License. +% ------------------------------------------------ +%% pgfornament.sty 0.2 du 05/03/2016 inspired from psvectorian P Fradin H Voss +%% ------------------------------------------------ +% Les options de \pgfornament sont: +% +% scale : nombre (échelle, 1 par défaut) +% width : nombre + unité (largeur, naturelle par défaut) +% height : nombre + unité (hauteur, naturelle par défaut) +% color : couleur ( par défaut couleur courante ) +% symmetry=h : true/false (symétrie horizontale, false par défaut) +% symmetry=v : true/false (symétrie verticale, false par défaut) +% symmetry=c : true/false (symétrie centrale h+v,false par défaut) +\NeedsTeXFormat{LaTeX2e}% +\RequirePackage{tikz,pgfopts}% +\ProvidesPackage{pgfornament}[2016/03/05 v0.21 vector ornaments]% +\gdef\pgfOrnamentsObject{pgflibraryvectorian.code.tex} +\gdef\OrnamentsFamily{vectorian} +\pgfkeys{ +/pgfOrnaments/object/.cd, +/pgfOrnaments/object/.code = \gdef\pgfOrnamentsObject{pgflibrary#1.code.tex} +\gdef\OrnamentsFamily{#1} +} +\ProcessPgfOptions{/pgfOrnaments} +\input{\pgfOrnamentsObject}% +\makeatletter + +% appels des motifs +\def\pgf@@ornament#1{% +\begingroup +\def\i{\pgfusepath{clip}}% +\def\k{\pgfusepath{stroke}}% +\let\o\pgfpathclose +\let\s\pgfusepathqfillstroke +\def\p ##1##2{\pgfqpoint{##1bp}{##2bp}}% +\def\m ##1 ##2 {\pgfpathmoveto{\p{##1}{##2}}}% +\def\l ##1 ##2 {\pgfpathlineto{\p{##1}{##2}}}% +\def\r ##1 ##2 ##3 ##4 {\pgfpathrectangle{\p{##1}{##2}}{\p{##3}{##4}}}% +\def\c ##1 ##2 ##3 ##4 ##5 ##6 {% +\pgfpathcurveto{\p{##1}{##2}}{\p{##3}{##4}}{\p{##5}{##6}}}% +\@@input \OrnamentsFamily#1.pgf% +\endgroup}% + +\tikzset{pgfornamentstyle/.style={}}% +\pgfkeys{% +/ornament/.cd, +scale/.code = {\def\pgfornamentscale{#1}}, +width/.code = {\def\pgfornamentwidth{#1}}, +height/.code = {\def\pgfornamentheight{#1}}, +color/.code = {\def\pgfornamentcolor{#1}}, +opacity/.code = {\def\pgfornamentopacity{#1}}, +anchor/.code = {\def\pgfornamentanchor{#1}}, +ydelta/.code = {\def\pgfornamentydelta{#1}}, +symmetry/.is choice, +symmetry/v/.code = {\tikzset{pgfornamentstyle/.append style={cm={-1,0,0,1,(0,0)}}}}, +symmetry/c/.code = {\tikzset{pgfornamentstyle/.append style={cm={-1,0,0,-1,(0,0)}}}}, +symmetry/h/.code = {\tikzset{pgfornamentstyle/.append style={cm={1,0,0,-1,(0,0)}}}}, +symmetry/none/.code = {\tikzset{pgfornamentstyle/.append style={cm={1,0,0,1,(0,0)}}}}}% +\def\pgfornament{\pgfutil@ifnextchar[{\pgf@ornament}{\pgf@ornament[]}}% +\def\pgf@ornament[#1]#2{% +\pgfkeys{/ornament/.cd, + scale = 1, + opacity = {}, + width = {}, + height = {}, + color = {}, + ydelta = 0 pt, + symmetry = none , + anchor = center}% +% +\pgfqkeys{/ornament}{#1}% +\ifx\pgfornamentcolor\empty + \tikzset{pgfornamentstyle/.append style={}}% +\else + \tikzset{pgfornamentstyle/.append style={color=\pgfornamentcolor}}% +\fi +\ifx\pgfornamentopacity\empty + \tikzset{pgfornamentstyle/.append style={}}% +\else + \tikzset{pgfornamentstyle/.append style={opacity=\pgfornamentopacity}}% +\fi +\ifx\pgfornamentwidth\empty + \else + \@pgfornamentDim{#2}% + \pgfmathsetmacro{\pgfornamentscale}{\pgfornamentwidth/\@pgfornamentX bp}% +\fi +\ifx\pgfornamentheight\empty + \else + \@pgfornamentDim{#2}% + \pgfmathsetmacro{\pgfornamentscale}{\pgfornamentheight/\@pgfornamentY bp}% +\fi +\begin{tikzpicture}[% + baseline={([yshift=\pgfornamentydelta]current bounding box.\pgfornamentanchor)},pgfornamentstyle] + \pgftransformscale{\pgfornamentscale}% + \pgf@@ornament{#2}% +\end{tikzpicture}% +\tikzset{pgfornamentstyle/.style={cm={1,0,0,1,(0,0)}}}% +}% +\gdef\ornamenttopos{.5} +\gdef\ornamenttoanchor{center} +\gdef\ornamenttosymmetry{none} +\tikzset{options default/.style={anchor=center,sloped,allow upside down,inner sep=0pt}} +\tikzset{% +ornament/at/.code={\def\ornamenttopos{#1}}, +options/.style={options default,#1}, +ornament symmetry/.code={\def\ornamenttosymmetry{#1}}, +node anchor/.code={\def\ornamenttoanchor{#1}}, +ornament/.style={% +to path={% +\pgfextra{% + \tikz@scan@one@point\pgfutil@firstofone(\tikztostart)\relax + \pgf@xa=\pgf@x + \pgf@ya=\pgf@y + \tikz@scan@one@point\pgfutil@firstofone(\tikztotarget)\relax + \pgf@xb=\pgf@x + \pgf@yb=\pgf@y + \advance\pgf@xa by-\pgf@xb + \advance\pgf@ya by-\pgf@yb + \pgfmathveclen{\pgf@xa}{\pgf@ya}% + \global\let\ornamentlen\pgfmathresult} + -- node [pos=\ornamenttopos,options, + anchor=\ornamenttoanchor]{% + \pgfornament[width = \ornamentlen, + symmetry=\ornamenttosymmetry]{#1}} + (\tikztotarget)\tikztonodes %end pgfextra + }% end to path + }% end style +}% +\def\pgfornamenthline#1#2#3#4{% + \pgfextractx{\pgf@x}{\pgfpointanchor{#1}{#3 east}} + \pgf@xa=\pgf@x + \pgfextractx{\pgf@x}{\pgfpointanchor{#2}{#3 west}} + \pgf@xb=\pgf@x + \advance\pgf@xb by -\pgf@xa +\node[inner sep=0pt] at ($(#1.#3 east)!.5!(#2.#3 west)$) {\pgfornament[width=\pgf@xb]{#4}} ; +} +\def\pgfornamentvline#1#2#3#4{% + \pgfextracty{\pgf@y}{\pgfpointanchor{#1}{south #3}} + \pgf@ya=\pgf@y + \pgfextracty{\pgf@y}{\pgfpointanchor{#2}{north #3}} + \pgf@yb=\pgf@y + \advance\pgf@yb by -\pgf@ya +\node[inner sep=0pt,rotate=90] at ($(#1.south #3)!.5!(#2.north #3)$) {\pgfornament[width=\pgf@yb]{#4}} ; +}% +\def\getornamentlength#1#2#3#4{% + \pgfpointdiff{\pgfpointanchor{#1}{#2}}% + {\pgfpointanchor{#3}{#4}}% + \pgf@xa=\pgf@x + \pgf@ya=\pgf@y + \pgfmathveclen{\pgf@xa}{\pgf@ya}% + \global\let\ornamentlen\pgfmathresult +}% +\def\getornamentangle#1#2#3{% + \pgfpointdiff{\pgfpointanchor{#2}{center}}{\pgfpointanchor{#3}{center}}% + \pgfmathsetmacro{#1}{atan2(\pgf@x,\pgf@y)}% +}% +\makeatother + +\newcommand{\resetpgfornamentstyle}{\tikzset{pgfornamentstyle/.style={}}} + + +\endinput +% End diff --git a/obsolete/macros/latex/contrib/tkz/pgfornament/latex/tikzrput.sty b/obsolete/macros/latex/contrib/tkz/pgfornament/latex/tikzrput.sty new file mode 100644 index 0000000000..53d1efa824 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/pgfornament/latex/tikzrput.sty @@ -0,0 +1,112 @@ +% utf8 +% tikzrput.sty 0.3 du 05/03/2016 inspired from rput (pstricks) +% ------------------------------------------------ +% Created by Alain Matthes le 2012-02-22. +% Copyright (c) 2012 __AlterMundus__. +% +% This file may be distributed and/or modified +% +% 1. under the LaTeX Project Public License , either version 1.3 +% of this license or (at your option) any later version and/or +% 2. under the GNU Public License. +% ------------------------------------------------ +% Options are the same of /rput in pstricks +% +\NeedsTeXFormat{LaTeX2e}% +\RequirePackage{tikz,ifpdf}% +\ProvidesPackage{tikzrput}[2016/03/05 v0.3 rput for tikz]% +\edef\tikzrputPtVirCode{\the\catcode`\;} +\edef\tikzrputAtCode{\the\catcode`\@} +\edef\tikzrputTwoPtCode{\the\catcode`\:} +\catcode`\;=12\relax +\catcode`\:=12\relax +\catcode`\@=11\relax + +\newif\ifrput@polar\rput@polarfalse +\def\rput@empty{} + +\def\rput@parsecoordinate#1{% +\rput@getseparator#1,\@nil +\ifrput@polar + \rput@getfrompolar#1\@nil +\fi +}% +\def\rput@getseparator#1,#2\@nil{% +\ifx\rput@empty#2\rput@empty% + \rput@polartrue +\else + \rput@polarfalse +\fi +}% +\def\rput@getfrompolar#1;#2\@nil{% + \def\pos@rput{#1:#2}% +}% + +\def\rput@pos@ {\def\rput@anchor{center}} +\def\rput@pos@B {\def\rput@anchor{base}} +\def\rput@pos@Br {\def\rput@anchor{base east}} +\def\rput@pos@Bl {\def\rput@anchor{base west}} +\def\rput@pos@tr {\def\rput@anchor{north east}} +\def\rput@pos@tl {\def\rput@anchor{north west}} +\def\rput@pos@br {\def\rput@anchor{south east}} +\def\rput@pos@bl {\def\rput@anchor{south west}} +\def\rput@pos@t {\def\rput@anchor{north}} +\def\rput@pos@b {\def\rput@anchor{south}} +\def\rput@pos@r {\def\rput@anchor{east}} +\def\rput@pos@l {\def\rput@anchor{west}} +\let\rput@pos@mc\rput@pos@ +\let\rput@pos@rB\rput@pos@Br +\let\rput@pos@lB\rput@pos@Bl +\let\rput@pos@rt\rput@pos@tr +\let\rput@pos@lt\rput@pos@tl +\let\rput@pos@rb\rput@pos@br +\let\rput@pos@lb\rput@pos@bl +\newbox\mybox +\ifpdf +\pgfutil@ifundefined{rput}{% + \tikzset{rput style/.style={}} + \def\rput{\pgfutil@ifnextchar[{\rput@i}{% + \global\edef\opt@rput{}\rput@ii}}% + \def\rput@i[#1]{\global\edef\opt@rput{#1}\rput@ii}% + \def\rput@ii{\pgfutil@ifnextchar({% + \def\angle@rput{0}\rput@iv}{\rput@iii}}% + \def\rput@iii#1{% + \ifx\rput@empty#1\rput@empty\def\angle@rput{0}\else% + \def\angle@rput{#1}\fi% + \pgfutil@ifnextchar({\rput@iv}{\rput@iv(0,0)}}%, + \def\rput@iv(#1){\def\pos@rput{#1}% + \rput@parsecoordinate{#1}% + \rput@v}% + \def\rput@v#1{% + \sbox\mybox{% + \pgfinterruptpicture#1\endpgfinterruptpicture}% + \begingroup + \tikzifinpicture{% + \let\begin@my@tikz@env\scope + \let\end@my@tikz@env\endscope + }{% + \let\begin@my@tikz@env\tikzpicture + \let\end@my@tikz@env\endtikzpicture + }% + \@nameuse{rput@pos@\opt@rput}% + \begin{pgfinterruptboundingbox}% + \begin@my@tikz@env[overlay] + \path (0,0)--(\pos@rput); + \protected@edef\rput@temp{% + \noexpand\node[inner sep = 0pt, + anchor = \rput@anchor, + rotate = \angle@rput, + rput style]}% + \rput@temp at (\pos@rput){\box\mybox}; + \end@my@tikz@env + \end{pgfinterruptboundingbox}% + \endgroup + \ignorespaces + }% + }{% + }% +\fi +\catcode`\;=\tikzrputPtVirCode\relax +\catcode`\@=\tikzrputAtCode\relax +\catcode`\:=\tikzrputTwoPtCode\relax +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/README b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/README new file mode 100644 index 0000000000..2f491181b6 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/README @@ -0,0 +1,33 @@ +% encodage utf8 +-------------------- english readme ---------------------------------------- +readme-namedgraphs.txt V 1.00 c 26/05/2011 + +The file namedgraphs.pdf is not a beginner or advanced tutorial, not a study + of graphs, it's only a gallery of undirected graphs made with the package + tkz-berge.sty v 1.00 c. Some of graphs have names, sometimes inspired by + the graph's topology, and sometimes after their discoverer. NamedGraphs.pdf + presents some of them. A lot of references can be found here: +http://mathworld.wolfram.com. + +Licence +------- + +This document can be redistributed and/or modified under the terms +of the LaTeX Project Public License Distributed from CTAN +archives in directory macros/latex/base/lppl.txt. + +Compilation of the sources +-------------------------- + +-- Encoding = utf8 +-- Engine = pdflatex +-- You need the tkz-doc.cls class and tkzexample.sty package. + + + Alain Matthes + 5 rue de Valence + Paris 75005 + + al (dot) ma (at) mac (dot) com + +
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/NamedGraphs.pdf b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/NamedGraphs.pdf Binary files differnew file mode 100644 index 0000000000..02529feae7 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/NamedGraphs.pdf diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Andrasfai.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Andrasfai.tex new file mode 100644 index 0000000000..41c7b2b578 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Andrasfai.tex @@ -0,0 +1,63 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-berge/NamedGraphs/doc/NamedGraphs-main.tex +\newpage\section{Andrasfai graph} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% Andrasfai +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grAndrasfai}{\oarg{options}\var{$k$}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/AndrasfaiGraph.html} + +\emph{The k-Andrásfai graph is a circulant graph on $3k-1$ nodes whose indices are given by the integers 1,\dots,$3k-1$ that are congruent to 1 (mod 3). +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} +} + +\medskip +\end{NewMacroBox} + +\bigskip + +\subsection{\tkzname{Andrásfai graph : k=7, order 20}} + +\bigskip +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=.7] + \GraphInit[vstyle=Art] + \SetGraphArtColor{red}{olive} + \grAndrasfai[RA=7]{7} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{Andrásfai graph : k=8, order 23}} + +\bigskip\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{red}{olive} + \grAndrasfai[RA=7]{8} + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\vfill\newpage +\subsection{\tkzname{Andrásfai graph : k=9, order 26}} + +\bigskip\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{red}{olive} + \grAndrasfai[RA=7]{9} +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Balaban.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Balaban.tex new file mode 100644 index 0000000000..cbdd5a235c --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Balaban.tex @@ -0,0 +1,91 @@ +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newpage\section{Balaban}\label{balaban} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––––– Balaban's graph ––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\begin{NewMacroBox}{grBalaban}{\oarg{options}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/Balaban10-Cage.html} + +\emph{The Balaban 10-cage is one of the three(3,10)-cage graphs (Read 1998, p. 272). The Balaban (3,10)-cage was the first known example of a 10-cage (Balaban 1973; Pisanski 2001). Embeddings of all three possible (3,10)-cages (the others being the Harries graph and Harries-Wong graph) are given by Pisanski et al. (2001). Several embeddings are illustrated below, with the three rightmost being given by Pisanski and Randić (2000) +It is a Hamiltonian graph and has Hamiltonian cycles. It has 1003 distinct LCF notations, with four of length two (illustrated above) and 999 of length 1. +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} +} +\end{NewMacroBox} + +\subsection{\tkzname{Balaban graph : first form}} +\begin{center} +\begin{tkzexample}[vbox] + \begin{tikzpicture}[scale=.6] + \GraphInit[vstyle=Art] + \SetGraphArtColor{red}{olive} + \grBalaban[form=1,RA=7,RB=3,RC=3] + \end{tikzpicture} +\end{tkzexample} + +\end{center} + + +\vfill\newpage +\subsection{\tkzname{Balaban graph : second form}} +\begin{center} +\begin{tkzexample}[vbox] + \begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{gray}{blue!50} + \grBalaban[form=2,RA=7,RB=7,RC=4,RD=2.5] + \end{tikzpicture} +\end{tkzexample} + +\end{center} + +\vfill\newpage +\subsection{\tkzname{Balaban graph : third form} } +\begin{center} + \begin{tkzexample}[vbox] + \begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{brown}{orange} + \grBalaban[form=3,RA=7,RB=6.5,RC=5.6,RD=5.6,RE=4.6] + \end{tikzpicture} + \end{tkzexample} + +\end{center} + + +\vfill\newpage + +\subsection{\tkzname{Balaban graph : Balaban 11-Cage}} + + +The Balaban 11-cage is the unique 11-cage graph, discovered by Balaban (1973) and proven unique by McKay and Myrvold (2003). It has 112 vertices, 168 edges, girth 11 (by definition), diameter 8 and chromatic number 3. + + +\begin{center} +\begin{tkzexample}[vbox] + \begin{tikzpicture}[scale=.7] + \renewcommand*{\VertexInnerSep}{3pt} + \renewcommand*{\VertexLineWidth}{0.4pt} + \GraphInit[vstyle=Art] + \SetGraphArtColor{red!50}{blue!50!black} + \grLCF[Math,RA=7]{% + 44,26,-47,-15,35,-39,11,-27,38,-37,43,14,28,51,-29,-16,41,-11,% + -26,15,22,-51,-35,36,52,-14,-33,-26,-46,52,26,16,43,33,-15,% + 17,-53,23,-42,-35,-28,30,-22, 45,-44,16,-38,-16,50,-55,20,28,% + -17,-43,47, 34,-26,-41,11,-36,-23,-16,41,17,-51,26,-33,47,17,% + -11,-20 ,-30,21,29,36,-43,-52,10,39,-28,-17,-52,51,26,37,-17,% + 10,-10,-45,-34,17,-26,27,-21,46,53,-10,29,-50,35,15,-47,-29,-41,% + 26,33,55,-17,42,-26,-36,16}{1} + \end{tikzpicture} +\end{tkzexample} + +\end{center} + + + + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Bipartite.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Bipartite.tex new file mode 100644 index 0000000000..169ff1a4fc --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Bipartite.tex @@ -0,0 +1,134 @@ +\newpage\section{Complete BiPartite Graph}\label{bipart} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––––– Complete BiPartite graph ––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grCompleteBipartite}{\oarg{options}\var{$p$}\var{$q$}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/CompleteBipartiteGraph.html} + +\emph{A complete bipartite graph is a bipartite graph (i.e., a set of graph vertices decomposed into two disjoint sets such that no two graph vertices within the same set are adjacent) such that every pair of graph vertices in the two sets are adjacent. If there are $p$ and $q$ graph vertices in the two sets, the complete bipartite graph (sometimes also called a complete bigraph) is denoted $K_{p,q}$ . The below figures show $K_{3,2}$ and $K_{3,3}$. $K_{3,3}$ is also known as the utility graph (and the circulant graph $Ci_{1,3}(6)$), and is the unique 4-cage graph.} +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +\medskip +From Wikipedia : \url{http://en.wikipedia.org/wiki/Complete_bipartite_graph} + +\emph{In the mathematical field of graph theory, a complete bipartite graph or biclique is a special kind of bipartite graph where every vertex of the first set is connected to every vertex of the second set. the graph $K_{1,3}$ is also called a claw.} +\end{NewMacroBox} + +\subsection{\tkzname{Complete bipartite graphs $K_{3,2}$ and $K_{3,3}$} } + %G=LCF_graph(6,[3,-3],3) +\begin{center} +\begin{tkzexample}[vbox] + \begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCompleteBipartite[RA=2,RB=2,RS=3]{3}{2} +\end{tikzpicture}\hspace*{2cm} +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCompleteBipartite[RA=2,RB=2,RS=3]{3}{3} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsection{\tkzname{Complete bipartite graphs $K_{3,5}$}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=1.5] + \GraphInit[vstyle=Art] + \grCompleteBipartite[RA=3,RB=2,RS=5]{3}{5} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage + +\subsection{\tkzname{Complete bipartite graph : $K_{18,18}$ }} + +The complete bipartite graph illustrated below plays an important role in the novel Foucault's Pendulum by Umberto Eco. + +\href{http://mathworld.wolfram.com/CycleGraph.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +\vfill +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=90,scale=1.4] + \GraphInit[vstyle=Art] + \grCompleteBipartite[RA=0.5,RB=0.5,RS=9]{18}{18} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +A complete bipartite graph $K_{n,n}$ is a circulant graph (if the order is equal to $2n$ then $L=1,3,\dots,n$). +The code is on the next page + +\bigskip +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCirculant[RA=3]{6}{1,3} +\end{tikzpicture}\hspace*{12pt} +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCirculant[RA=3]{8}{1,3} +\end{tikzpicture} + +\vspace*{12pt} +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCirculant[RA=3]{10}{1,3,5} +\end{tikzpicture}\hspace*{12pt} +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCirculant[RA=3]{12}{1,3,5} +\end{tikzpicture} + +\vspace*{12pt} +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCirculant[RA=3]{14}{1,3,5,7} +\end{tikzpicture}\hspace*{12pt} +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCirculant[RA=3]{16}{1,3,5,7} +\end{tikzpicture} + +\vfill\newpage +\begin{tkzexample}[code only] +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCirculant[RA=3]{6}{1,3} +\end{tikzpicture}\hspace*{12pt} +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCirculant[RA=3]{8}{1,3} +\end{tikzpicture} + +\vspace*{12pt} +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCirculant[RA=3]{10}{1,3,5} +\end{tikzpicture}\hspace*{12pt} +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCirculant[RA=3]{12}{1,3,5} +\end{tikzpicture} + +\vspace*{12pt} +\begin{tikzpicture} + \GraphInit[vstyle=Art] +\grCirculant[RA=3]{14}{1,3,5,7} +\end{tikzpicture}\hspace*{12pt} +\begin{tikzpicture} + \GraphInit[vstyle=Art] +\grCirculant[RA=3]{16}{1,3,5,7} +\end{tikzpicture} +\end{tkzexample} + + +\endinput + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Bull.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Bull.tex new file mode 100644 index 0000000000..49fb3bb21b --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Bull.tex @@ -0,0 +1,24 @@ +\newpage\section{Bull} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% Bull +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +The bull graph, 5 vertices, 5 edges, resembles to the head of a bull if drawn properly. +The bull graph is a simple graph on 5 nodes and 5 edges whose name derives from its resemblance to a schematic illustration of a bull + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[node distance=4cm] + \GraphInit[vstyle=Shade] + \Vertex{a0} + \NOEA(a0){a2} + \NOEA(a2){a4} + \NOWE(a0){a1} + \NOWE(a1){a3} + \Edges(a0,a1,a3) + \Edges(a0,a2,a4) + \Edge(a1)(a2) + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Cage.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Cage.tex new file mode 100644 index 0000000000..520b38555f --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Cage.tex @@ -0,0 +1,43 @@ +\newpage\section{Cage}\label{cage} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––– Cage –––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{Cage Graphs}{} + +\medskip +From Wikipedia \url{http://en.wikipedia.org/wiki/Cage_(graph_theory)}\\ +\emph{In the mathematical area of graph theory, a cage is a regular graph that has as few vertices as possible for its girth.\\ +Formally, an $(r,g)$-graph is defined to be a graph in which each vertex has exactly $r$ neighbors, and in which the shortest cycle has length exactly $g$. It is known that an $(r,g)$-graph exists for any combination of $r \geq 2$ and $g \geq 3$. An $(r,g)$-cage is an $(r,g)$-graph with the fewest possible number of vertices, among all $(r,g)$-graphs.} + +\medskip +From MathWorld \url{http://mathworld.wolfram.com/CageGraph.html}\\ +\emph{A $(r,g)$-cage graph is a $v$-regular graph of girth $g$ having the minimum possible number of nodes. When $v$ is not explicitly stated, the term "$g$-cage" generally refers to a $(3,g)$-cage.} +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +\medskip +Examples : + +\medskip +\begin{tabular}{ll} + \bottomrule +$(r,g)$ & Names \\ +\midrule +$(3,3)$ & complete graph $K_4$ \\ +$(3,4)$ & complete bipartite graph $K_{3,3}$ Utility Graph\ref{bipart} \\ +$(3,5)$ & Petersen graph \ref{petersen} \\ +$(3,6)$ & Heawood graph \ref{heawood} \\ +$(3,7)$ & McGee graph \ref{mcgee} \\ +$(3,8)$ & Levi graph \ref{levi} \\ +$(3,10)$ & Balaban 10-cage \ref{balaban} \\ +$(3,11)$ & Balaban 11-cage \ref{balaban} \\ +$(3,12)$ & Tutte 12-cage \\ +$(4,3)$ & complete graph $K_5$ \\ +$(4,4)$ & complete bipartite graph $K_{4,4}$ \ref{bipart} \\ +$(4,5)$ & Robertson graph\ref{robertson} \\ +$(4,6)$ & Wong (1982)\ref{wong} \\ +\end{tabular} +\end{NewMacroBox} + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Chvatal.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Chvatal.tex new file mode 100644 index 0000000000..72b5cd7e46 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Chvatal.tex @@ -0,0 +1,73 @@ +\newpage\section{Chvatal} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grChvatal}{\oarg{options}} + +\medskip +From Wikipedia : \url{http://en.wikipedia.org/wiki/Václav_Chvátal} + +\emph{Chvátal first learned of graph theory in 1964, on finding a book by Claude Berge in a Pilsen bookstore, and his first mathematical publication, at the age of 19, concerned directed graphs that cannot be mapped to themselves by any nontrivial graph homomorphism.\hfill\break +Gallery Theorem—which determines the number of guards required to survey the +walls of a polygonal art gallery (and has prompted much research), and constructed the smallest triangle-free 4-chromatic 4-regular graph, a beautiful graph now known as the Chvatal graph.} + + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/ChvatalGraph.html} + +\emph{The Chvátal graph is a quartic graph on 12 nodes and 24 edges. It has chromatic number 4, and girth 4.} +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +\medskip +The Chvátal graph is implemented in \tkzname{tkz-berge} as \tkzcname{grChvatal} with three forms. +\end{NewMacroBox} + +\medskip +\subsection{\tkzname{Chvatal graph I}} + +\bigskip + +\begin{center} + \begin{tkzexample}[vbox] + \begin{tikzpicture}[scale=.7] + \GraphInit[vstyle=Shade] + \SetVertexNoLabel + \SetGraphShadeColor{blue!50!black}{blue}{gray} + \grChvatal[RA=6,RB=2] + \end{tikzpicture} + \end{tkzexample} + +\end{center} + +\vfill\newpage +\subsection{\tkzname{Chvatal graph II}} + +\bigskip +\begin{center} + \begin{tkzexample}[vbox] + \begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{blue!50!black}{gray} + \grChvatal[form=2,RA=7,RB=4,RC=1.4] + \end{tikzpicture} + \end{tkzexample} + +\end{center} + + +\vfill\newpage +\subsection{\tkzname{Chvatal graph III}} + +\bigskip +\begin{center} + \begin{tkzexample}[vbox] + \begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{blue!50!black}{gray} + \grChvatal[form=3,RA=7] + \end{tikzpicture} + \end{tkzexample} + +\end{center} + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Cocktail_Party.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Cocktail_Party.tex new file mode 100644 index 0000000000..3ed5e45ced --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Cocktail_Party.tex @@ -0,0 +1,50 @@ +\newpage\section{Cocktail Party graph}\label{cocktail} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––– Cocktail Party –––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grCocktailParty}{\oarg{options}\var{integer}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/CocktailPartyGraph.html} + +\emph{The cocktail party graph of order , also called the hyperoctahedral graph (Biggs 1993, p. 17) is the graph consisting of two rows of paired nodes in which all nodes but the paired ones are connected with a graph edge. It is the graph complement of the ladder graph , and the dual graph of the hypercube graph.\hfill\break +This graph arises in the handshake problem. It is a complete n-partite graph that is denoted by Brouwer et al. (1989, pp. 222-223), and is distance-transitive, and hence also distance-regular.\hfill\break +The cocktail party graph of order is isomorphic to the circulant graph.} +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +\medskip +The Chvátal graph is implemented in \tkzname{tkz-berge} as \tkzcname{grCocktailParty} with two forms. +\end{NewMacroBox} + +\subsection{\tkzname{Cocktail Party graph form 1 }} +\tikzstyle{VertexStyle} = [shape = circle, + shading = ball,% + ball color = green,% + minimum size = 24pt,% + draw] +\SetVertexMath +\tikzstyle{EdgeStyle} = [thick,% + double = orange,% + double distance = 1pt] +\begin{center} + \begin{tkzexample}[vbox] + \begin{tikzpicture} + \grCocktailParty[RA=3,RS=5]{4} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{Cocktail Party graph form 2 }} + +\vspace*{2cm} +\begin{center} + \begin{tkzexample}[vbox] + \begin{tikzpicture} + \grCocktailParty[form=2,RA=4,RS=6]{4} + \end{tikzpicture} +\end{tkzexample} +\end{center} +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Coxeter.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Coxeter.tex new file mode 100644 index 0000000000..937ef0194f --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Coxeter.tex @@ -0,0 +1,122 @@ +\newpage\section{Coxeter} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––– Coxeter ––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +From MathWorld : \url{http://mathworld.wolfram.com/CoxeterGraph.html} + +The Coxeter graph is a nonhamiltonian cubic symmetric graph on 28 vertices and 42 edges. + + +\subsection{\tkzname{Coxeter graph I}} + +\bigskip +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=90,scale=1] + \GraphInit[vstyle=Art] + \SetGraphArtColor{magenta}{gray} + \grCycle[RA=5,prefix=a]{7} + \begin{scope}[rotate=-20]\grEmptyCycle[RA=4,prefix=b]{7}\end{scope} + \grCirculant[RA=3,prefix=c]{7}{2} + \grCirculant[RA=1.4,prefix=d]{7}{3} + \EdgeIdentity{a}{b}{7} + \EdgeIdentity{b}{c}{7} + \EdgeIdentity{b}{d}{7} + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\vfill\newpage +\subsection{\tkzname{Coxeter graph II}} + +\bigskip +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{magenta}{gray} + \grCycle[RA=7,prefix=b]{24} + \grEmptyStar[RA=3,prefix=a]{4} + \EdgeDoubleMod{a}{3}{0}{1}{b}{24}{0}{8}{2} + \EdgeDoubleMod{a}{3}{0}{1}{b}{24}{7}{8}{2} + \EdgeDoubleMod{a}{3}{0}{1}{b}{24}{18}{8}{2} + \EdgeDoubleMod{a}{4}{3}{0}{b}{24}{22}{8}{2} + \EdgeInGraphMod*{b}{24}{6}{5}{8} + \EdgeInGraphMod*{b}{24}{11}{1}{8} + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\vfill\newpage + +\subsection{\tkzname{Coxeter graph III}} + +\bigskip +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{magenta}{gray} + \grCycle[RA=7,prefix=c]{7} + \grEmptyCycle[RA=6,prefix=b]{7} + \begin{scope}[rotate=12.85]\grEmptyCycle[RA=5,prefix=a]{14}\end{scope} + \EdgeIdentity{b}{c}{7} + \EdgeDoubleMod{b}{7}{0}{1}{a}{14}{0}{2}{6} + \EdgeDoubleMod{b}{7}{0}{1}{a}{14}{13}{2}{6} + \EdgeInGraphModLoop{a}{14}{4}{0}{0} + \EdgeInGraphModLoop{a}{14}{6}{1}{1} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––– Tutte-Coxeter graph ––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\vfill\newpage +\subsection{\tkzname{Tutte-Coxeter graph I}} + +\tikzstyle{VertexStyle} = [very thin,draw, + shape = circle, + color = white, + fill = black, + inner sep = 0pt, + minimum size = 18pt] +\tikzstyle{EdgeStyle} = [thick, + double = brown, + double distance = 1pt] + +\bigskip +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=3] + \GraphInit[vstyle=Art] + \SetGraphArtColor{blue}{cyan} + \begin{scope}[rotate=5]\grCycle[RA=2.5,prefix=a]{10}\end{scope} + \begin{scope}[rotate=-10]\grCirculant[RA=1.8,prefix=b]{10}{5}\end{scope} + \begin{scope}[rotate=36]\grCirculant[RA=1.1,prefix=c]{10}{3}\end{scope} + \EdgeIdentity{a}{b}{10} + \EdgeIdentity{b}{c}{10} + \end{tikzpicture} +\end{tkzexample} +\end{center} +% + +\vfill\newpage +\subsection{\tkzname{Tutte-Coxeter graph II}} + +\bigskip +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{blue}{darkgray} + \grLCF[RA=7]{-13,-9,7,-7,9,13}{5} + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Crown.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Crown.tex new file mode 100644 index 0000000000..c880642ca7 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Crown.tex @@ -0,0 +1,55 @@ +\newpage\section{Crown}\label{crown} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––– Crown ––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grCrown}{\oarg{options}\var{integer}} + + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/CrownGraph.html} + +\emph{The Crown graph for an integer is the graph with vertex set +$\{x_0,x_1,\dots,x_{n-1},y_0,y_1,\dots,y_{n-1}\}$\hfill\break +and edge set \hfill\break +$\{(x_i,x_j): 0\leq i,j\leq n-1,i \not=j\}$.} +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +\medskip +The Crown graph is implemented in \tkzname{tkz-berge} as \tkzcname{grCrown} with two forms. +\end{NewMacroBox} + + +\subsection{\tkzname{Crown graph form 1}} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} +\tikzstyle{VertexStyle} = [shape = circle, + shading = ball, + ball color = green, + minimum size = 24pt, + draw] +\tikzstyle{EdgeStyle} = [thick, + double = orange, + double distance = 1pt] +\SetVertexLabel\SetVertexMath +\grCrown[RA=3,RS=6]{4} + \end{tikzpicture} +\end{tkzexample} + +\end{center} + +\vfill\newpage +\subsection{\tkzname{Crown graph form 2}} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \grCrown[form=2,RA=4,RS=6]{4} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-CubicSymmetric.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-CubicSymmetric.tex new file mode 100644 index 0000000000..3281249060 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-CubicSymmetric.tex @@ -0,0 +1,44 @@ +\newpage\section{Cubic Symmetric Graphs} +%<––––––––––––––––––––––––––––––––––––––––––––––––––--–––––––––––––––––––––––> +%<–––––––––––––––––––––––Cubic Symmetric Graphs –––––––––––––––––––––––––> +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +A cubic symmetric graph is a symmetric cubic (i.e., regular of order 3). Such graphs were first studied by Foster (1932). They have since been the subject of much interest and study. Since cubic graphs must have an even number of vertices, so must cubic symmetric graphs. + +The circulant graph , is illustrated below. + +\subsection{\tkzname{Cubic Symmetric Graph form 1}} + +\vspace*{2cm} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=90] + \SetVertexNoLabel + \grLCF[RA=6]{3,-3}{4} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage + +\subsection{\tkzname{Cubic Symmetric Graph form 2}} + +\vspace*{1cm} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=90] + \tikzstyle{VertexStyle} = [shape = circle,% + color = white, + fill = black, + very thin, + inner sep = 0pt,% + minimum size = 18pt, + draw] + \tikzstyle{EdgeStyle} = [thick,% + double = brown,% + double distance = 1pt] + \grLCF[Math,RA=6]{3,-3}{4} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Desargues.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Desargues.tex new file mode 100644 index 0000000000..496041579b --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Desargues.tex @@ -0,0 +1,88 @@ +\newpage\section{Desargues}\label{desargues} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––– Desargues –––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grDesargues}{\oarg{options}} + +\medskip +From Wikipedia : \url{http://en.wikipedia.org/wiki/Desargues_graph} + +\emph{ In the mathematical field of graph theory, the Desargues graph is a 3-regular graph with 20 vertices and 30 edges, formed as the Levi graph of the Desargues configuration.The Desargues graph can also be formed as a double cover of the Petersen graph, as the generalized Petersen graph G(10,3), or as the bipartite Kneser graph $H_{5,2}$.} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/DesarguesGraph.html} + +\emph{ The Desargues graph is a cubic symmetric graph distance-regular graph on 20 vertices and 30 edges, illustrated above in several embeddings. It can be represented in LCF notation as (Frucht 1976) and is isomorphic to the bipartite Kneser graph . It is the incidence graph of the Desargues configuration.} +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +\medskip +The Desargues graph is implemented in \tkzname{tkz-berge} as \tkzcname{grDesargues} with two forms. +\end{NewMacroBox} + + +\tikzstyle{VertexStyle} = [shape = circle,% + color = white, + fill = black, + very thin, + inner sep = 0pt,% + minimum size = 18pt, + draw] +\tikzstyle{EdgeStyle} = [thick,% + double = brown,% + double distance = 1pt] +\SetVertexMath +\subsection{\tkzname{The Desargues graph : form 1}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=.6] + \grDesargues[Math,RA=6] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{The Desargues graph : form 2}} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \grDesargues[form=2,Math,RA=7] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{The Desargues graph wth \tkzname{LCF notation}} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=90] + \grLCF[Math,RA=6]{5,-5,9,-9}{5} + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\vfill\newpage +\subsection{The Desargues graph with \tkzcname{grGeneralizedPetersen}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=90] + \tikzstyle{VertexStyle} = [shape = circle,% + color = white, + fill = black, + very thin, + inner sep = 0pt,% + minimum size = 18pt, + draw] + \tikzstyle{EdgeStyle} = [thick,% + double = brown,% + double distance = 1pt] + \grGeneralizedPetersen[Math,RA=6]{10}{3} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Doyle.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Doyle.tex new file mode 100644 index 0000000000..4f6a55c1fc --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Doyle.tex @@ -0,0 +1,85 @@ +\newpage\section{Doyle}\label{doyle} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––– Doyle ––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grDoyle}{\oarg{options}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/DoyleGraph.html} + +\emph{The Doyle graph, sometimes also known as the Holt graph (Marušič et al. 2005), is the symmetric quartic graph on 27 nodes illustrated. It is a Symmetric Graph. Three embeddings are illustrated below.} +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +\medskip +The Doyle graph is implemented in \tkzname{tkz-berge} as \tkzcname{grDoyle} with three forms. +\end{NewMacroBox} + +\subsection{\tkzname{The Doyle graph : form 1}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=.6] + \GraphInit[vstyle=Shade] + \SetGraphShadeColor{red}{Maroon}{fondpaille} + \SetVertexNoLabel + \grDoyle[RA=7,RB=5,RC=3] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{The Doyle graph : form 2}} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \SetGraphShadeColor{red}{Magenta}{white} + \SetVertexNoLabel + \grDoyle[form=2,RA=7] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{The Doyle graph : form 3}} +\begin{center} + \begin{tkzexample}[vbox] +\begin{tikzpicture} + \SetGraphArtColor{red}{Magenta}{red} + \GraphInit[vstyle=Shade] + \SetVertexNoLabel + \grDoyle[form=3,RA=7,RB=2] + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\vfill\newpage + +\subsection{27 nodes but not isomorphic to the Doyle graph} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=.6] + \tikzstyle{VertexStyle} = [shape = circle, + ball color = gray!60, + minimum size = 16pt,draw] + \tikzstyle{EdgeStyle} = [thick,color=black,% + double = orange,% + double distance = 1pt] + \SetVertexNoLabel + \grCycle[RA=7.5]{9} + \grEmptyCycle[prefix=b,RA=5.5]{9} + \grCirculant[prefix=c,RA=3.5]{9}{4} + \EdgeIdentity{b}{c}{9} + \EdgeMod{a}{c}{9}{1} + \EdgeMod{a}{b}{9}{1} + \EdgeInGraphMod{b}{9}{2} + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Dyck.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Dyck.tex new file mode 100644 index 0000000000..dfa3a2aab5 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Dyck.tex @@ -0,0 +1,39 @@ +\newpage\section{Dyck graph}\label{dyck} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––– Nauru ––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grDick}{\oarg{options}} + +From Wikipedia \url{http://en.wikipedia.org/wiki/Dyck_graph} + +\emph{In the mathematical field of graph theory, the Dyck graph is a 3-regular graph with 32 vertices and 48 edges, named after Walther von Dyck. It has chromatic number 2, radius 5, diameter 5 and girth 6. It is also a 3-vertex-connected and a 3-edge-connected graph. +} + +\medskip +From MathWorld \url{http://mathworld.wolfram.com/DyckGraph.html} + +\emph{The Dyck graph is unique cubic symmetric graph on 32 nodes, illustrated below in one of embeddings.} + +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} +\end{NewMacroBox} + +\subsection{\tkzname{Dyck graph}} + +It can be represented in LCF notation as $\big[5,-5,13,-13\big]^8$ + + + +\subsection{\tkzname{Dyck graph with LCF notation}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}% + \GraphInit[vstyle=Art] + \grLCF[RA=7]{5,-5,13,-13}{8}% + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\vfill\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Folkman.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Folkman.tex new file mode 100644 index 0000000000..2c357f15cc --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Folkman.tex @@ -0,0 +1,118 @@ +\newpage\section{Folkman}\label{folkman} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––– Folkman –––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grFolkman}{\oarg{options}} + +\medskip +From MathWorld : \url{http://mathworld.wolfram.com/FolkmanGraph.html} + +\emph{The Folkman graph is a semisymmetric graph that has the minimum possible number of nodes 20.} +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} +\end{NewMacroBox} + + +\subsection{\tkzname{Folkman Graph LCF embedding}} +The code is + +\begin{tkzexample}[code only] +\grLCF[RA=7]{5,-7,-7,5}{5}\end{tkzexample} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=.8] + \GraphInit[vstyle=Art] + \SetGraphArtColor{blue}{darkgray} + \grFolkman[RA=6] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage + + +\subsection{\tkzname{Folkman Graph embedding 1}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=45]% + \tikzstyle{VertexStyle} = [shape = circle, + shading = ball, + ball color = gray!60, + inner sep = 3pt, + draw] + \tikzstyle{EdgeStyle} = [thick,orange] + \SetVertexNoLabel + \grCycle[prefix=a,RA=3]{4}% + \grCycle[prefix=b,RA=4]{4}% + \grCycle[prefix=c,RA=5]{4}% + \grCycle[prefix=d,RA=6]{4}% + \grCycle[prefix=e,RA=7]{4}% + \foreach \r/\s/\t in {a/d/e,b/e/a,c/a/b,d/b/c,e/c/d}{% + \Edges(\r0,\s1,\r2,\t3,\r0) + } + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage + +\subsection{\tkzname{Folkman Graph embedding 1 new code}} +{ \tikzstyle{VertexStyle} =[shape = circle,% + shading = ball,% + inner sep = 4pt,% + draw] + \tikzstyle{EdgeStyle} = [thin,blue] + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} +\begin{scope}[shift={(1,1)},rotate=45]\grEmptyPath[prefix=a,RA=1]{5} + \end{scope} +\begin{scope}[shift={(-1,1)},rotate=135]\grEmptyPath[prefix=b,RA=1]{5} + \end{scope} +\begin{scope}[shift={(-1,-1)},rotate=225]\grEmptyPath[prefix=c,RA=1]{5} + \end{scope} +\begin{scope}[shift={(1,-1)},rotate=315]\grEmptyPath[prefix=d,RA=1]{5} + \end{scope} + \EdgeIdentity*{a}{b}{0,...,4} \EdgeIdentity*{b}{c}{0,...,4} + \EdgeIdentity*{c}{d}{0,...,4} \EdgeIdentity*{d}{a}{0,...,4} + \EdgeDoubleMod{a}{5}{0}{1}{b}{5}{3}{1}{1} + \EdgeDoubleMod{a}{5}{2}{1}{b}{5}{0}{1}{2} + \EdgeDoubleMod{a}{5}{1}{1}{d}{5}{0}{1}{3} + \EdgeDoubleMod{c}{5}{2}{1}{b}{5}{0}{1}{2} + \EdgeDoubleMod{c}{5}{0}{1}{b}{5}{3}{1}{1} + \EdgeDoubleMod{c}{5}{1}{1}{d}{5}{0}{1}{3} + \Edges(a0,d4,c0) + \end{tikzpicture} +\end{tkzexample} +\end{center} +} +\vfill\newpage + +\subsection{\tkzname{Folkman Graph embedding 3}} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=.8] + \SetVertexNoLabel + \tikzstyle{VertexStyle} = [shape = circle, + shading = ball, + ball color = gray!60, + inner sep = 3pt, + draw] + \tikzstyle{EdgeStyle} = [thick,orange] + \grEmptyCycle[prefix=a,RA=1.85]{5} \grEmptyCycle[prefix=b,RA=3.7]{5} + \grCycle[prefix=c,RA=6]{10} + \EdgeDoubleMod{a}{5}{0}{1}{b}{5}{1}{1}{4} + \EdgeDoubleMod{a}{5}{0}{1}{b}{5}{4}{1}{4} + \EdgeDoubleMod{b}{5}{0}{1}{c}{10}{9}{2}{4} + \EdgeDoubleMod{b}{5}{0}{1}{c}{10}{1}{2}{4} + \EdgeDoubleMod{a}{5}{0}{1}{c}{10}{8}{2}{4} + \EdgeDoubleMod{a}{5}{0}{1}{c}{10}{2}{2}{4} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Foster.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Foster.tex new file mode 100644 index 0000000000..3f05835387 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Foster.tex @@ -0,0 +1,39 @@ +\newpage\section{Foster}\label{foster} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––– Foster –––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\begin{NewMacroBox}{grFoster}{\oarg{options}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/FosterGraph.html} + +\emph{The Foster graph is a graph on 90 vertices and 135 arcs. It has a unique order-15 LCF notations.} + +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + \end{NewMacroBox} + +\subsection{\tkzname{Foster graph}} + +The macros is based on + +\begin{tkzexample}[code only] +\grLCF[Math,RA=7]{17, -9, 37, -37, 9, -17}{15}\end{tkzexample} + +\vspace*{1cm} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=.6] + \renewcommand*{\VertexInnerSep}{2pt} + \renewcommand*{\EdgeLineWidth}{0.5pt} + \GraphInit[vstyle=Art] + \tikzset{VertexStyle/.append style={minimum size=2pt}} + \SetGraphColor{red}{blue} + \grLCF[Math,RA=6]{17, -9, 37, -37, 9, -17}{15} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Franklin.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Franklin.tex new file mode 100644 index 0000000000..b7f5bc4d66 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Franklin.tex @@ -0,0 +1,71 @@ +\newpage\section{Franklin}\label{franklin} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––– Franklin ––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grFranklin}{\oarg{options}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/FranklinGraph.html} + +\emph{The Franklin graph is the 12-vertex cubic graph shown above whose embedding on the Klein bottle divides it into regions having a minimal coloring using six colors, thus providing the sole counterexample to the Heawood conjecture.} +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +\medskip +The Franklin graph is implemented in \tkzname{tkz-berge} as \tkzcname{grFranklin}. +\end{NewMacroBox} + +\tikzstyle{VertexStyle} = [shape = circle,% + color = white, + fill = black, + very thin, + inner sep = 0pt,% + minimum size = 18pt, + draw] +\tikzstyle{EdgeStyle} = [thick,% + double = brown,% + double distance = 1pt] +\newcounter{tempi}\setcounter{tempi}{0} + +\subsection{\tkzname{The Franklin graph : embedding 1}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=.7] + \grFranklin[Math,RA=7] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{The Franklin graph : embedding 2}} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \grCycle[Math,RA=4,prefix=a]{6} + \grCycle[Math,RA=6,prefix=b]{6} + \foreach \x in {0,...,5}{% + \ifthenelse{\isodd{\x}}{% + \pgfmathsetcounter{tempi}{\x-1}}{% + \pgfmathsetcounter{tempi}{\x+1}} + \Edge(a\x)(b\thetempi) +} + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\vfill\newpage +\subsection{\tkzname{The Franklin graph : with LCF notation embedding 3}} + +\space*{2cm} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \grLCF[Math,RA=7]{-5,-3,3,5}{3} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Gray.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Gray.tex new file mode 100644 index 0000000000..d2f16f9124 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Gray.tex @@ -0,0 +1,32 @@ +\newpage\section{Gray} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––– Gray –––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +From MathWorld :\url{ http://mathworld.wolfram.com/GrayGraph.html} + +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + + +The Gray graph is a cubic semisymmetric graph on 54 vertices. It was discovered by Marion C. Gray in 1932, and was first published by Bouwer (1968). Malnic et al. (2004) showed that the Gray graph is indeed the smallest possible cubic semisymmetric graph. + +It is the incidence graph of the Gray configuration. + +The Gray graph has a single order-9 LCF Notation and five distinct order-1 LCF notations. + +The Gray graph has girth 8, graph diameter 6 + +It can be represented in LCF notation as $\big[-25,7,-7,13,-13,25\big]^9$ + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=90] + \GraphInit[vstyle=Art] + \SetGraphArtColor{gray}{red} + \grLCF[Math,RA=6]{-25,7,-7,13,-13,25}{9} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Groetzsch.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Groetzsch.tex new file mode 100644 index 0000000000..491f9450d8 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Groetzsch.tex @@ -0,0 +1,88 @@ +\newpage\section{Groetzsch} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––– groetzsch ––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grGrotzsch}{\oarg{options}\var{$k$}} + +\medskip +From Wikipedia : \url{http://en.wikipedia.org/wiki/Grötzsch_graph} + +\emph{The Grötzsch graph is a triangle-free graph with 11 vertices, 20 edges, and chromatic number 4. It is named after German mathematician Herbert Grötzsch, and its existence demonstrates that the assumption of planarity is necessary in Grötzsch's theorem (Grötzsch 1959) that every triangle-free planar graph is 3-colorable.} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/GroetzschGraph.html} + +\emph{The Grötzsch graph is smallest triangle-free graph with chromatic number four. It is identical to the Mycielski Graph of order four.} +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +\end{NewMacroBox} + + +%GrotzschGraph +\tikzstyle{VertexStyle} = [shape = circle, + shading = ball, + ball color = gray!60, + inner sep = 3pt, + draw] +\SetVertexNoLabel +\tikzstyle{EdgeStyle} = [thick,orange] + +\subsection{\tkzname{Grotzsch Graph : first form}} + +\begin{center} + \begin{tkzexample}[vbox] + \begin{tikzpicture} + \grGrotzsch[RA=3,RB=6]{6}% + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\vfill\newpage\null +\subsection{\tkzname{Grotzsch Graph : second form}} +\SetVertexLabel +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \grGrotzsch[form=2,RA=6,RB=3]{6}% + \end{tikzpicture} +\end{tkzexample} +\end{center} + + + +\vfill\newpage\null +\subsection{\tkzname{Grotzsch Graph : third form}} +From Wikipedia : \url{http://en.wikipedia.org/wiki/Complete_bipartite_graph} + +\tikzstyle{VertexStyle} = [shape = circle, + shading = ball, + ball color = blue!60, + inner sep = 6pt, + draw] +\SetVertexNoLabel +\tikzstyle{EdgeStyle} = [thick,double= red, + double distance = 1pt] + +\begin{center} + \begin{tkzexample}[vbox] + \begin{tikzpicture}[rotate=-18] + \draw[scale=.5,samples at={-6.4,-6.3,...,6.4}, + smooth,thick, + variable=\t, + double= red, + double distance = 1pt] + plot ({3*(1.5*cos(\t r) +3*cos(1.5*\t r))},% + {3*(1.5*sin(\t r) -3*sin(1.5*\t r))}); + \begin{scope}[rotate=36] + \grStar[prefix=a,RA=2.2]{6}% + \grEmptyCycle[prefix=b,RA=4.4]{5}% + \end{scope} + \end{tikzpicture} + \end{tkzexample} + +\end{center} + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Harries.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Harries.tex new file mode 100644 index 0000000000..88e5ca6df8 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Harries.tex @@ -0,0 +1,48 @@ +\newpage\section{Harries graph}\label{harries} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––– Nauru ––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grHarries}{\oarg{options}} + +From Wikipedia \url{http://en.wikipedia.org/wiki/Harries_graph} + +\emph{In the mathematical field of graph theory, the Harries graph or Harries (3-10)-cage is a 3-regular undirected graph with 70 vertices and 105 edges. +The Harries graph has chromatic number 2, chromatic index 3, radius 6, diameter 6, girth 10 and is Hamiltonian. It is also a 3-vertex-connected and 3-edge-connected non-planar cubic graph.} + +\medskip +From MathWorld \url{http://mathworld.wolfram.com/HarriesGraph.html} + +\emph{The Harries graph has 678 distinct LCF notations, two of which are order 5 (illustrated below) and 674 of which are order 1..} +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} +\end{NewMacroBox} + +\subsection{\tkzname{Harries graph} with \tkzcname{grHarries}} + +The macro uses the LCF notation : $\big[-29,-19,-13,13,21,-27,27,33,-13,13,19,-21,-33,29\big]^5$ + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}% + \GraphInit[vstyle=Art] + \grHarries[RA=7] + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\subsection{\tkzname{Harries graph with LCF notation}} +It can be also represented in LCF notation as $\big[-35,9,15,-15,23,-27,27,-35,15,-15,-9,-27,27,-23\big]^5$ + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}% + \GraphInit[vstyle=Art] + \grLCF[RA=7]{-35,9,15,-15,23,-27,27,-35,15,-15,-9,-27,27,-23}{5}% + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\vfill\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Heawood.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Heawood.tex new file mode 100644 index 0000000000..c93a1c99ac --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Heawood.tex @@ -0,0 +1,47 @@ +\newpage\section{Heawood graph}\label{heawood} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––– HEAWOOD ––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grHeawood}{\oarg{options}} + +\medskip +From Wikipedia \url{http://en.wikipedia.org/wiki/Heawood_graph} + +\emph{The Heawood graph is an undirected graph with 14 vertices and 21 edges. Each vertex is adjacent to exactly three edges (that is, it is a cubic graph), and all cycles in the graph have six or more edges. Percy John Heawood (1861-1955) was an English mathematician who spent a large amount of time on questions related to the four colour theorem.} + +\medskip +From MathWorld \url{http://mathworld.wolfram.com/HeawoodGraph.html} + +\emph{The Heawood graph is the unique $(3,6)$-cage graph and Moore graph and is graph illustrated below in one of his embeddings.} +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} +\end{NewMacroBox} + +\subsection{\tkzname{Heawood graph}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}% + \GraphInit[vstyle=Shade] + \grHeawood[RA=7] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +It can be represented in LCF notation as $\big[5,-5\big]^7$ + +\tkzcname{grLCF[RA=5]\{5,9\}\{7\}} gives the result because $-5 = 9\ mod\ 14$. + +\subsection{\tkzname{Heawood graph with LCF notation}}\label{lcf2} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}% + \GraphInit[vstyle=Art] + \grLCF[RA=7]{5,9}{7}% + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\vfill\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Hypercube.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Hypercube.tex new file mode 100644 index 0000000000..4e77e63bd2 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Hypercube.tex @@ -0,0 +1,41 @@ +\newpage\section{Hypercube} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––– Hypercube –––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +From Wikipedia :\url{http://en.wikipedia.org/wiki/Hypercube_graph} + +In the mathematical field of graph theory, the hypercube graph $Q_n$ is a special regular graph with $2n$ vertices, which correspond to the subsets of a set with $n$ elements. Two vertices labelled by subsets S and T are joined by an edge if and only if S can be obtained from T by adding or removing a single element. Each vertex of $Q_n$ is incident to exactly $n$ edges (that is, $Q_n$ is $n$-regular), so the total number of edges is $2^{n-1}n$. +The name comes from the fact that the hypercube graph is the one-dimensional skeleton of the geometric hypercube. +Hypercube graphs should not be confused with cubic graphs, which are graphs that are 3-regular. The only hypercube that is a cubic graph is $Q_3$. + +\tikzstyle{VertexStyle} = [shape = circle,% + fill = red,% + inner sep = 3pt,% + outer sep = 0pt,% + draw] +\SetVertexNoLabel + +\subsection{\tkzname{The hypercube graph $Q_4$} } + +The code is on the next page. + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \grCycle[RA=8]{8} + \pgfmathparse{8*(1-4*sin(22.5)*sin(22.5))} + \let\tkzbradius\pgfmathresult + \grCirculant[prefix=b,RA=\tkzbradius]{8}{3} + \makeatletter + \foreach \vx in {0,...,7}{% + \pgfmathsetcounter{tkz@gr@n}{mod(\vx+1,8)} + \pgfmathsetcounter{tkz@gr@a}{mod(\vx+7,8)} + \pgfmathsetcounter{tkz@gr@b}{mod(\thetkz@gr@n+1,8)} + \Edge(a\thetkz@gr@n)(b\thetkz@gr@b) + \Edge(b\thetkz@gr@a)(a\vx) + } + \makeatother +\end{tikzpicture} +\end{tkzexample} +\end{center} +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Koenisberg.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Koenisberg.tex new file mode 100644 index 0000000000..525d493fe1 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Koenisberg.tex @@ -0,0 +1,61 @@ +\newpage\section{The Seven Bridges of Königsberg}\label{seven} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––– Königsberg ––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grKonisberg}{\oarg{options}\var{$k$}} + +\medskip +From MathWorld : \url{http://mathworld.wolfram.com/KoenigsbergBridgeProblem.html} + +\emph{The Königsberg bridge problem asks if the seven bridges of the city of Königsberg (left figure; Kraitchik 1942), formerly in Germany but now known as Kaliningrad and part of Russia, over the river Preger can all be traversed in a single trip without doubling back, with the additional requirement that the trip ends in the same place it began. This is equivalent to asking if the multigraph on four nodes and seven edges (right figure) has an Eulerian circuit. This problem was answered in the negative by Euler (1736), and represented the beginning of graph theory.} +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +\medskip +From Wikipedia : \url{http://en.wikipedia.org/wiki/Seven_Bridges_of_Königsberg} + +\emph{The paper written by Leonhard Euler on the Seven Bridges of Königsberg and published in 1736 is regarded as the first paper in the history of graph theory.\hfill\break +The Seven Bridges of Königsberg is a famous solved mathematics problem inspired by an actual place and situation. The city of Königsberg, Prussia (now Kaliningrad, Russia) is set on the Pregel River, and included two large islands which were connected to each other and the mainland by seven bridges. The problem is to decide whether it is possible to walk a route that crosses each bridge exactly once.\hfill\break +In 1736, Leonhard Euler proved that it was not possible. In proving the result, Euler formulated the problem in terms of graph theory, by abstracting the case of Königsberg — first, by eliminating all features except the landmasses and the bridges connecting them; second, by replacing each landmass with a dot, called a vertex or node, and each bridge with a line, called an edge or link. The resulting mathematical structure is called a graph.} +\end{NewMacroBox} + +\subsection{\tkzname{Königsberg graph} with \tkzcname{grKonisberg}} +\begin{center} +\begin{tkzexample}[vbox] + \begin{tikzpicture}[node distance=4cm] + \grKonisberg + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzcname{Königsberg graph} : fine embedding} +\begin{center} +\begin{tkzexample}[vbox] + \begin{tikzpicture} + \renewcommand*{\VertexBallColor}{orange!50!red} + \renewcommand*{\EdgeDoubleDistance}{2pt} + \SetGraphUnit{4} + \GraphInit[vstyle=Shade] + \tikzset{LabelStyle/.style = {draw, + fill = yellow, + text = red}} + \Vertex{A} + \EA(A){B} + \EA(B){C} + {\SetGraphUnit{8} + \NO(B){D}} + \Edge[label=1](B)(D) + \tikzset{EdgeStyle/.append style = {bend left}} + \Edge[label=4](A)(B) + \Edge[label=5](B)(A) + \Edge[label=6](B)(C) + \Edge[label=7](C)(B) + \Edge[label=2](A)(D) + \Edge[label=3](D)(C) + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Levi.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Levi.tex new file mode 100644 index 0000000000..b0d5053f6f --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Levi.tex @@ -0,0 +1,79 @@ +\newpage\section{Levi Graph}\label{levi} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––– Levy –––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grLevi}{\oarg{options}} + +\medskip + +From Wikipedia \url{http://en.wikipedia.org/wiki/Levi_graph} + +\emph{In combinatorics a Levi graph or incidence graph is a bipartite graph associated with an incidence structure. From a collection of points and lines in an incidence geometry or a projective configuration, we form a graph with one vertex per point, one vertex per line, and an edge for every incidence between a point and a line.\hfil\break +In the mathematical field of graph theory, the Tutte–Coxeter graph or Tutte eight-cage is a 3-regular graph with 30 vertices and 45 edges. As the unique smallest cubic graph of girth 8 it is a cage and a Moore graph. It is bipartite, and can be constructed as the Levi graph of the generalized quadrangle. } + +From MathWord : \url{http://mathworld.wolfram.com/LeviGraph.html} + +\emph{It has 30 nodes and 45 edges. It has girth 8, diameter 4, chromatic number 2. The Levi graph is a generalized polygon which is the point/line incidence graph of the generalized quadrangle . The graph was first discovered by Tutte (1947), and is also called the Tutte-Coxeter graph , Tutte's cage or "Tutte's (3,8)-cage".The Levi graph is the unique (3,8)-cage graph.\hfil\break +The incidence graph of a generic configuration is sometimes known as a Levi graph (Coxeter 1950).} + +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +Some examples of Levi Graphs with this definition are~: +\begin{itemize} +\item Desargues graph +\item Heawood graph +\item Heawood graph +\item Pappus graph +\item Gray graph +\item Tutte eight-cage +\end{itemize} + +\end{NewMacroBox} + +The two forms can be draw with : + + \begin{tkzexample}[code only] + \grLevi[RA=7]\end{tkzexample} + +and + + \begin{tkzexample}[code only] + \grLevi[form=2,RA=7,RB=5,RC=3]\end{tkzexample} + +You can see on the next pages, the two forms. +\vfill\newpage +Now I show you how to code this graph. + +\subsection{\tkzname{Levy graph :form 1}} + +\bigskip +\begin{center} +\begin{tkzexample}[vbox] + \begin{tikzpicture} + \GraphInit[vstyle=Art] + \grLCF[prefix=a,RA=6]{-13,-9,7,-7,9,13}{5} + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\vfill\newpage + +\subsection{\tkzname{Levy graph :form 2}} + +\bigskip +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCycle[prefix=a,RA=7]{10} + \EdgeInGraphMod{a}{10}{5} + \grEmptyCycle[prefix=b,RA=5]{10} + \grEmptyCycle[prefix=c,RA=3]{10} + \EdgeInGraphMod{c}{10}{4} + \end{tikzpicture} +\end{tkzexample} +\end{center} +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-McGee.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-McGee.tex new file mode 100644 index 0000000000..b72ec439db --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-McGee.tex @@ -0,0 +1,59 @@ +\newpage\section{Mc Gee}\label{mcgee} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––– Mc Gee –––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grMcGee}{\oarg{options}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/McGeeGraph.html} + +\emph{The McGee graph is the unique 7-cage graph. It has 24 nodes, 36 edges, girth 7, diameter 4, and is a cubic graph. It has chromatic number 3.} +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +\end{NewMacroBox} + +\bigskip +\subsection{\tkzname{McGee graph with }\tkzcname{grMcGee}} + +\bigskip +The same result is obtained with + +\begin{tkzexample}[code only] + \grLCF[Math,RA=6]{-12,7,-7}{8}\end{tkzexample} + +\medskip +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=90] + \GraphInit[vstyle=Art] + \grMcGee[Math,RA=6] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +Others embeddings +\subsection{\tkzname{McGee graph with }\tkzcname{grLCF}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=90] + \GraphInit[vstyle=Art] + \grLCF[Math,RA=6]{-12,-6,6,-12,7,-7,-12,6,-6,-12,7,-7}{2} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{McGee graph with }\tkzcname{grLCF}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=90] + \GraphInit[vstyle=Art] + \grLCF[Math,RA=6]{-12,6,-7,-12,7,-8,11,-6,6,-11,8,% + -7,-12,7,-6,-12,7,-11,-8,7,-7,8,11,-7}{1} + \end{tikzpicture} +\end{tkzexample} +\end{center} +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Moebius.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Moebius.tex new file mode 100644 index 0000000000..111d503453 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Moebius.tex @@ -0,0 +1,167 @@ +\newpage\section{Möbius-Kantor Graph}\label{moebius} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––– Moebius –––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grMobiusKantor}{\oarg{options}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/Moebius-KantorGraph.html} + +\emph{The unique cubic symmetric graph on 16 nodes, illustrated above in several embeddings. It is 24 edges, girth 6, diameter 4, chromatic number 2, and is nonplanar but Hamiltonian. It can be represented in LCF notation and is identical to a generalized Petersen graph . +} + +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} +\end{NewMacroBox} + + + + +\subsection{\tkzname{Möbius Graph : form I}} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \SetGraphArtColor{red}{olive} + \SetVertexNoLabel + \grMobiusKantor[RA=7] +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{Möbius Graph : form II}} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=22.5] + \GraphInit[vstyle=Shade] + \SetGraphArtColor{red!50}{brown!50} + \SetVertexNoLabel + \grMobiusKantor[form=2,RA=7,RB=3] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage + \subsection{\tkzname{Möbius Graph : form III}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \SetVertexNoLabel + \grMobiusKantor[form=3,RA=7,RB=2] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{Möbius Graph with LCF notation}} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=90] + \GraphInit[vstyle=Shade] + \SetVertexNoLabel + \grLCF[RA=7]{5,-5}{8} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{Möbius Graph with \tkzcname{grGeneralizedPetersen}} } + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \SetVertexNoLabel + \grGeneralizedPetersen[RA=7,RB=4]{8}{3} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––– Moebius Ladder –––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +A Möbius ladder of order $2n$ is a simple graph obtained by introducing a twist in a prism graph of order $2n$ that is isomorphic to the circulant graph with order $2n$ and $L=\{1,n\}$ + +\url{http://mathworld.wolfram.com/MoebiusLadder.html} + +\subsection{\tkzname{Möbius Ladder Graph}} + + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grMobiusLadder[RA=7,RB=2]{8}% + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\vfill\newpage +\subsection{\tkzname{Circulant Graph isomorphic to the last graph}} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grCirculant[RA=7]{16}{1,8}% +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\endinput + +\newpage\section{Möbius-Kantor Graph}\label{MK} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––Möbius-Kantor Graph –––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{% +\newmacro{Möbius-Kantor Graph : \tkzcname{grMobiusKantor}}}{lightgray} + \tkzcname{grMobiusKantor[|RA|=\meta{Number}]\var{Number}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/Moebius-KantorGraph.html} + +\emph{The unique cubic symmetric graph on 16 nodes, illustrated above in two embeddings. It is 24 edges, girth 6, diameter 4, chromatic number 2, and is nonplanar but Hamiltonian. It is identical to the generalized Petersen graph.} +\href{http://mathworld.wolfram.com/Moebius-KantorGraph.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +\medskip +The Möbius-Kantor Graph is implemented in \tkzname{tkz-berge} as \tkzcname{grMobiusKantor}. +\end{NewMacroBox} + +\subsection{Möbius-Kantor Graph with \tkzcname{grGeneralizedPetersen}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \SetVertexNoLabel + \grGeneralizedPetersen[RA=7,RB=4]{3}{1} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage\null + + +\subsection{\tkzname{MobiusKantor graph}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \SetVertexNoLabel + \grMobiusKantor[RA=5] + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Nauru.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Nauru.tex new file mode 100644 index 0000000000..52d55f2d52 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Nauru.tex @@ -0,0 +1,37 @@ +\newpage\section{Nauru graph}\label{nauru} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––– Nauru ––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grNauru}{\oarg{options}} + +From Wikipedia \url{http://en.wikipedia.org/wiki/Nauru_graph} + +\emph{TIn the mathematical field of graph theory, the Nauru graph is a symmetric bipartite cubic graph with 24 vertices and 36 edges. It was named by David Eppstein after the twelve-pointed star in the flag of Nauru. It has chromatic number 2, , diameter 4, radius 4 and girth 6. It is also a 3-vertex-connected and 3-edge-connected graph.} + +\medskip +From MathWorld \url{http://mathworld.wolfram.com/NauruGraph.html} + +\emph{The Nauru graph is the name given by Eppstein (2007) to the generalized Petersen graph GP(12,5) , which is also cubic symmetric graph , the permutation star graph of order 4, and the incidence graph of the Coxeter configuration. The name derives from the resemblance of the central star polygon in the generalized Petersen embedding to the 12-point star on the flag of the Pacific island nation of Nauru. The Nauru graph is graph illustrated below in one of his embeddings.} +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} +\end{NewMacroBox} + +\subsection{\tkzname{Nauru graph}} + +It can be represented in LCF notation as $\big[5, −9, 7, −7, 9, −5\big]^4$ + +\tkzcname{grLCF[RA=5]\{5,9\}\{7\}} gives the result because $-5 = 9\ mod\ 14$. + +\subsection{\tkzname{Nauru graph with LCF notation}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}% + \GraphInit[vstyle=Art] + \grLCF[RA=7]{5, −9, 7, −7, 9, −5}{4}% + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\vfill\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Pappus.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Pappus.tex new file mode 100644 index 0000000000..539790b1d9 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Pappus.tex @@ -0,0 +1,61 @@ +\newpage\section{Pappus} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––– Pappus ––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grPappus}{\oarg{options}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/PappusGraph.html} + +\emph{A cubic symmetric distance-regular graph on 18 vertices, illustrated below in three embeddings. It can be represented in LCF notation $[5,7,-7,7,-7,-5]^3$ (Frucht 1976).} +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +From Wikipedia : \url{http://en.wikipedia.org/wiki/Pappus_graph} +\emph{In the mathematical field of graph theory, the Pappus graph is a 3-regular graph with 18 vertices and 27 edges, formed as the Levi graph of the Pappus configuration. It is a distance-regular graph, one of only 14 such cubic graphs according to Cubic symmetric graphs.} + +This macro can be used with three different forms. +\end{NewMacroBox} + +\bigskip + + +\subsection{\tkzname{Pappus Graph : form 1}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=.7] + \GraphInit[vstyle=Art] + \grPappus[RA=7] +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{Pappus Graph : form 2}} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{red}{olive} + \grPappus[form=2,RA=7,RB=5,RC=3] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{Pappus Graph : form 3}} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{gray}{blue} + \grPappus[form=3,RA=7,RB=5,RC=2.5] + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Petersen.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Petersen.tex new file mode 100644 index 0000000000..1029e3252d --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Petersen.tex @@ -0,0 +1,175 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-berge/NamedGraphs/doc/NamedGraphs-main.tex +\newpage\section{Petersen}\label{petersen} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––– Petersen –––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grPetersen}{\oarg{options}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/PetersenGraph.html} + +\emph{The Petersen graph is the graph , illustrated below in several embeddings, possessing 10 nodes, all of whose nodes have degree three. The Petersen graph is implemented in \tkzname{tkz-berge} as \tkzcname{grPetersen}. +The Petersen graph has girth 5, diameter 2, edge chromatic number 4, chromatic number 3.} + +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +From Wikipedia : \url{http://en.wikipedia.org/wiki/Petersen_graph} + +\emph{In graph theory, the Petersen graph is an undirected graph with 10 vertices and 15 edges. It is a small graph that serves as a useful example and counterexample for many problems in graph theory. The Petersen graph is named for Julius Petersen, who in 1898 constructed it to be the smallest bridgeless cubic graph with no three-edge-coloring. Although the graph is generally credited to Petersen, it had in fact first appeared 12 years earlier, in 1886.} + +This macro can be used with three different forms. +\end{NewMacroBox} + + \subsection{\tkzname{Petersen graph : form 1}} +\begin{center} +\begin{tkzexample}[latex=8cm] +\begin{tikzpicture}[scale=.8] + \GraphInit[vstyle=Art] + \SetGraphArtColor{red}{olive} + \grPetersen[form=1,RA=5,RB=3]% + \end{tikzpicture} +\end{tkzexample} +\end{center} +\vfill\newpage +\subsection{\tkzname{Petersen graph : form 2}} + +\bigskip +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}% + \GraphInit[vstyle=Art] + \SetGraphArtColor{red}{olive} + \grPetersen[form=2,RA=7,RB=3]% +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{Petersen graph : form 3}} + +\bigskip +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}% + \GraphInit[vstyle=Art] + \SetGraphArtColor{red}{olive} + \grPetersen[form=3,RA=7]% +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{The line graph of the Petersen graph}} + +\bigskip +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} +\GraphInit[vstyle=Art]\SetGraphArtColor{white}{blue} + \begin{scope}[rotate=-90] \grCirculant[RA=1.5,prefix=a]{5}{2}\end{scope} + \begin{scope}[rotate=-18] \grEmptyCycle[RA=4,prefix=b]{5}{2} \end{scope} + \begin{scope}[rotate=18] \grCycle[RA=7,prefix=c]{5} \end{scope} + \EdgeIdentity{a}{b}{5} + \EdgeIdentity{b}{c}{5} + \EdgeDoubleMod{b}{5}{0}{1}{a}{5}{2}{1}{5} + \EdgeDoubleMod{c}{5}{0}{1}{b}{5}{1}{1}{5} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––– Petersen Gen –––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\begin{NewMacroBox}{grGeneralizedPetersen}{\oarg{RA=\meta{Number},RB=\meta{Number}}\var{integer}\var{integer}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/GeneralizedPetersenGraph.html} + +\emph{The generalized Petersen graph , also denoted $GP(n,k)$ , for $n \geq 3$ and $1\leq k \leq \lfloor (n-1)/2\rfloor $ is a graph consisting of an inner star polygon (circulant graph ) and an outer regular polygon (cycle graph ) with corresponding vertices in the inner and outer polygons connected with edges. has nodes and edges. The Petersen graph is implemented in \tkzname{tkz-berge} as \tkzcname{grGeneralizedPetersen}.} +\href{http://mathworld.wolfram.com/GeneralizedPetersenGraph.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +\medskip +From Wikipedia : \url{http://en.wikipedia.org/wiki/Petersen_graph} +\emph{In 1950 H. S. M. Coxeter introduced a family of graphs generalizing the Petersen graph. These graphs are now called generalized Petersen graphs, a name given to them in 1969 by Mark Watkins. In Watkins' notation, $G(n,k)$ is a graph with vertex set\hfill\break + ${u_0, u_1,\dots, u_{n-1}, v_0, v_1, \dots, v_{n-1}}$\hfill\break +and edge set\hfill\break +${u_i u_{i+1}, u_i v_i, v_i u_{i+k}: i = 0,\dots,n-1}$\hfill\break +where subscripts are to be read modulo $n$ and $k<n/2$. Coxeter's notation for the same graph would be $\{n\}+\{n/k\}.$ +The Petersen Graph itself is $G(5,2)$ or $\{5\}+\{5/2\}$. +} + +This macro can be used with three different forms. +\end{NewMacroBox} + +\subsection{\tkzname{Generalized Petersen graph} GP(5,1)} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=90,scale=.6] + \GraphInit[vstyle=Art]\SetGraphArtColor{red}{olive} + \renewcommand*{\VertexInnerSep}{4pt} + \grGeneralizedPetersen[RA=5,RB=2]{5}{1} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{The Petersen graph} GP(5,2)} + +\vspace*{2cm} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=90] + \GraphInit[vstyle=Art]\SetGraphArtColor{red}{olive} + \renewcommand*{\VertexInnerSep}{8pt} + \grGeneralizedPetersen[RA=7,RB=4]{5}{2} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{Generalized Petersen graph} GP(6,2)} + +\vspace*{2cm}\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=90] + \GraphInit[vstyle=Art]\SetGraphArtColor{red}{olive} + \renewcommand*{\VertexInnerSep}{8pt} + \grGeneralizedPetersen[RA=7,RB=4]{6}{2} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{Generalized Petersen graph} GP(7,3)} + +\vspace*{2cm}\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=90] + \GraphInit[vstyle=Art]\SetGraphArtColor{red}{olive} + \renewcommand*{\VertexInnerSep}{8pt} + \grGeneralizedPetersen[RA=7,RB=4]{7}{3} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{Generalized Petersen graph} GP(11,5)} + +\vspace*{2cm}\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=90] + \renewcommand*{\VertexInnerSep}{8pt} + \GraphInit[vstyle=Art]\SetGraphArtColor{red}{olive} + \grGeneralizedPetersen[RA=7,RB=4]{11}{5} + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Platonic.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Platonic.tex new file mode 100644 index 0000000000..a29fcf126b --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Platonic.tex @@ -0,0 +1,338 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-berge/NamedGraphs/doc/NamedGraphs-main.tex +\newpage\section{ The five Platonics Graphs} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––– Platonic graphs –––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +The Platonic Graphs are the graphs formed by the edges and vertices of the five regular Platonic solids. The five Platonics Graphs are illustrated below. + +\begin{enumerate} + \item tetrahedral + \item octahedral + \item cube + \item icosahedral + \item dodecahedral +\end{enumerate} + + +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grTetrahedral}{\oarg{RA=Number}} +From MathWord : \url{http://mathworld.wolfram.com/TetrahedralGraph.html} + +\emph{\tkzname{Tetrahedral Graph} is the unique polyhedral graph on four nodes which is also the complete graph and therefore also the wheel graph . It is implemented as \tkzcname{grTetrahedral}} +\href{http://mathworld.wolfram.com/TetrahedralGraph.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein} +} +It has : + +\begin{enumerate} + \item 4 nodes, + \item 6 edges, + \item graph diameter 1. +\end{enumerate} + +The Tetrahedral Graph is 3-Regular +\end{NewMacroBox} + +\subsection{\tkzname{Tetrahedral}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=.6] + \GraphInit[vstyle=Shade] + \renewcommand*{\VertexInnerSep}{4pt} + \SetVertexNoLabel\SetGraphShadeColor{red!50}{black}{red} + \grTetrahedral[RA=5] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\clearpage\newpage +\subsection{\tkzname{Tetrahedral LCF embedding}} + +\vspace*{2cm} +\begin{center} + \begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=18] + \renewcommand*{\VertexInnerSep}{8pt} + \GraphInit[vstyle=Art] + \SetGraphArtColor{red!50}{orange} + \grLCF[RA=7]{2,-2}{2} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\clearpage\newpage +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\begin{NewMacroBox}{grOctahedral}{\oarg{RA=\meta{Number},RB=\meta{Number}}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/OctahedralGraph.html} + +\emph{\tkzname{Octahedral Graph} is isomorphic to the circulant graph $CI_{[1,2]}(6)$ . Two embeddings of this graph are illustrated below. It is implemented as \tkzcname{grOctahedral} or as \tkzcname{grSQCycle\{6\}}.} +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +It has : + +\begin{enumerate} + \item 6 nodes, + \item 12 edges, + \item graph diameter 2. +\end{enumerate} + +\medskip + The Octahedral Graph is 4-Regular. +\end{NewMacroBox} + + +\medskip +\subsection{\tkzname{Octahedral}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \grOctahedral[RA=6,RB=2] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage\null +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \grSQCycle[RA=5]{6} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage\null +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\medskip +\begin{NewMacroBox}{grCubicalGraph}{\oarg{RA=\meta{Number},RB=\meta{Number}}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/CubicalGraph.html} + +\emph{\tkzname{Cubical Graph} is isomorphic to a generalized Petersen graph $PG_{[4,1]}$, to a bipartite Kneser graph , to a crown graph and it is equivalent to the Cycle Ladder $CL(4)$. Two embeddings of this graph are illustrated below. It is implemented as \tkzcname{grCubicalGraph} or \tkzcname{grPrism\{4\}}.} +\href{http://mathworld.wolfram.com/CubicalGraph.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +It has : + +\begin{enumerate} + \item 8 nodes, + \item 12 edges, + \item graph diameter 3. +\end{enumerate} + + The Cubical Graph is 3-Regular. +\end{NewMacroBox} + +\subsection{\tkzname{Cubical Graph : form 1}} +\begin{center} + \begin{tkzexample}[vbox] +\begin{tikzpicture} + \grCubicalGraph[RA=5,RB=2] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage\null +\subsection{\tkzname{Cubical Graph : form 2}} +\begin{center} + \begin{tkzexample}[vbox] +\begin{tikzpicture} + \grCubicalGraph[form=2,RA=7,RB=4] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{Cubical LCF embedding}} + +\vspace*{2cm} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=18] + \GraphInit[vstyle=Art]\renewcommand*{\VertexInnerSep}{8pt} + \SetGraphArtColor{red!50}{orange} + \grLCF[RA=7]{3,-3}{4} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\clearpage\newpage +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\begin{NewMacroBox}{grIcosahedral}{\oarg{RA=\meta{Number},RB=\meta{Number},RC=\meta{Number}}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/IcosahedralGraph.html} + +\emph{The \tkzname{Icosahedral Graph} is the Platonic graph whose nodes have the connectivity of the icosahedron, illustrated above in a number of embeddings. The icosahedral graph has 12 vertices and 30 edges. Since the icosahedral graph is regular and Hamiltonian, it has a generalized LCF notation.} +\href{http://mathworld.wolfram.com/IcosahedralGraph.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +\medskip +It has : + +\begin{enumerate} + \item 12 nodes, + \item 30 edges, + \item graph diameter 3. +\end{enumerate} + +\medskip + The Icosahedral Graph is 5-Regular. +\end{NewMacroBox} + +\medskip + +\subsection{\tkzname{Icosahedral forme 1 }} + +\tikzstyle{EdgeStyle}= [thick,% + double = orange,% + double distance = 1pt] + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=.8] + \GraphInit[vstyle=Art]\renewcommand*{\VertexInnerSep}{4pt} + \SetGraphArtColor{red}{orange} + \grIcosahedral[RA=5,RB=1] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\clearpage\newpage + +\subsection{\tkzname{Icosahedral forme 2 }} +\vspace*{2cm} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=-30] + \GraphInit[vstyle=Art] \renewcommand*{\VertexInnerSep}{8pt} + \SetGraphArtColor{red!50}{orange} + \grIcosahedral[form=2,RA=8,RB=2,RC=.8] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage + +\subsection{\tkzname{Icosahedral} \tkzname{RA=1} et \tkzname{RB=7}} +\begin{center} +\begin{tkzexample}[vbox] + \begin{tikzpicture} + \GraphInit[vstyle=Art] \renewcommand*{\VertexInnerSep}{8pt} + \SetGraphArtColor{red!50}{orange} + \grIcosahedral[RA=1,RB=7] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\clearpage\newpage +\subsection{\tkzname{Icosahedral LCF embedding 1}} + +\vspace*{2cm} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=18] + \GraphInit[vstyle=Art] \renewcommand*{\VertexInnerSep}{8pt} + \SetGraphArtColor{red!50}{orange} + \grLCF[RA=7]{-4,-3,4}{6} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\clearpage\newpage +\subsection{\tkzname{Icosahedral LCF embedding 2}} + +\vspace*{2cm} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=18] + \GraphInit[vstyle=Art] + \SetGraphArtColor{red!50}{orange} + \grLCF[RA=7]{-2,2,3}{6} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\clearpage\newpage +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\begin{NewMacroBox}{grDodecahedral}{\oarg{RA=\meta{Number},RB=\meta{Number},RC=\meta{Number},RD=\meta{Number}}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/DodecahedralGraph.html} + +\emph{The \tkzname{Icosahedral Graph} is the Platonic graph corresponding to the connectivity of the vertices of a dodecahedron, illustrated above in four embeddings. The left embedding shows a stereographic projection of the dodecahedron, the second an orthographic projection, the third is from Read and Wilson, and the fourth is derived from LCF notation.} +\href{http://mathworld.wolfram.com/DodecahedralGraph.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +\medskip +It has : + +\begin{enumerate} + \item 20 nodes, + \item 30 edges, + \item graph diameter 5. +\end{enumerate} + +\medskip + The Dodecahedral Graph is 3-Regular. +\end{NewMacroBox} + +\medskip +\subsection{\tkzname{Dodecahedral}} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=18,scale=.6] + \GraphInit[vstyle=Art] + \SetGraphArtColor{red!50}{orange} + \grDodecahedral[RA=7,RB=4,RC=2,RD=1] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsection{\tkzname{Dodecahedral other embedding}} + +\vspace*{2cm} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \grCycle[RA=7,prefix=a]{10} + \grSQCycle[RA=4,prefix=b]{10} + \foreach \v in {0,...,9} + {\Edge(a\v)(b\v)} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{Dodecahedral LCF embedding}} + +\vspace*{2cm} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=18] + \GraphInit[vstyle=Art] + \SetGraphArtColor{red!50}{orange} + \grLCF[RA=7]{10,7,4,-4,-7,10,-4,7,-7,4}{2} + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Robertson.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Robertson.tex new file mode 100644 index 0000000000..ce8807ce0b --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Robertson.tex @@ -0,0 +1,243 @@ +\newpage\section{Robertson}\label{robertson} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––– Robertson –––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grRobertson}{\oarg{options}\var{$k$}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/RobertsonGraph.html} + +\medskip +\emph{The Robertson graph is the unique (4,5)-cage graph, illustrated below. It has 19 vertices and 38 edges. It has girth 5, diameter 3, chromatic number 3, and is a quartic graph.} +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +\end{NewMacroBox} + +\subsection{\tkzname{Robertson graph with \tkzcname{grRobertson} }} + +The cage + +\medskip +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=.6] + \GraphInit[vstyle=Art] + \SetGraphArtColor{black}{gray} + \grRobertson[RA=7] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\clearpage\newpage +\subsection{\tkzname{Fine embedding of the Robertson graph from RV}} + +\begin{center} + \begin{tikzpicture}[scale=.8] + \tikzstyle{TempEdgeStyle}= [thick,black,% + double = gray,% + double distance = 1.5pt]% + \SetVertexNoLabel + \renewcommand*{\VertexBigMinSize}{10pt} + \GraphInit[vstyle=Shade] + \SetVertexNoLabel + \SetUpEdge[style = {thick,% + double = orange,% + double distance = 1pt}] + \SetGraphShadeColor{gray}{black}{gray} + \tikzstyle{EdgeStyle} = [TempEdgeStyle] + \begin{scope}[rotate=-30] + \grEmptyCycle[RA=5.4]{3} + \end{scope} + \tikzstyle{EdgeStyle}= [TempEdgeStyle,bend right=10] + \grCycle[prefix=b,RA=4]{12} + \tikzstyle{EdgeStyle}= [TempEdgeStyle] + \grCirculant[prefix=c,RA=2]{4}{2} + \tikzstyle{EdgeStyle}= [TempEdgeStyle,bend left] + \EdgeDoubleMod{c}{4}{0}{1}% + {b}{12}{4}{3}{4} + \tikzstyle{EdgeStyle}= [TempEdgeStyle,bend right] + \EdgeDoubleMod{c}{4}{0}{1} + {b}{12}{8}{3}{4} + \tikzstyle{EdgeStyle}= [TempEdgeStyle] + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{11}{4}{3} + \EdgeDoubleMod{c}{4}{0}{1}% + {b}{12}{0}{3}{4} + \tikzstyle{EdgeStyle}= [TempEdgeStyle,bend left=60] + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{8}{4}{3} + \tikzstyle{EdgeStyle}= [TempEdgeStyle,bend right=60] + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{2}{4}{3} + \tikzstyle{EdgeStyle}=[TempEdgeStyle,in=-50,out=-120, + relative,looseness=2.5] + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{5}{4}{3} + \end{tikzpicture} +\end{center} + +\clearpage\newpage +Code for the Robertson Graph + +\medskip +\begin{tkzexample}[code only] +\begin{tikzpicture}[scale=.9] + \tikzstyle{TempEdgeStyle}= [thick,black,% + double = gray,% + double distance = 1.5pt]% + \SetVertexNoLabel + \renewcommand*{\VertexBigMinSize}{14pt} + \GraphInit[vstyle=Shade] + \SetVertexNoLabel + \SetUpEdge[style = {thick,% + double = orange,% + double distance = 1pt}] + + \SetGraphShadeColor{gray}{black}{gray} + \tikzstyle{EdgeStyle} = [TempEdgeStyle] + \begin{scope}[rotate=-30] + \grEmptyCycle[RA=5.4]{3} + \end{scope} + \tikzstyle{EdgeStyle}= [TempEdgeStyle,bend right=10] + \grCycle[prefix=b,RA=4]{12} + \tikzstyle{EdgeStyle}= [TempEdgeStyle] + \grCirculant[prefix=c,RA=2]{4}{2} + \tikzstyle{EdgeStyle}= [TempEdgeStyle,bend left] + \EdgeDoubleMod{c}{4}{0}{1}% + {b}{12}{4}{3}{4} + \tikzstyle{EdgeStyle}= [TempEdgeStyle,bend right] + \EdgeDoubleMod{c}{4}{0}{1} + {b}{12}{8}{3}{4} + \tikzstyle{EdgeStyle}= [TempEdgeStyle] + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{11}{4}{3} + \EdgeDoubleMod{c}{4}{0}{1}% + {b}{12}{0}{3}{4} + \tikzstyle{EdgeStyle}= [TempEdgeStyle,bend left=60] + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{8}{4}{3} + \tikzstyle{EdgeStyle}= [TempEdgeStyle,bend right=60] + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{2}{4}{3} + \tikzstyle{EdgeStyle}=[TempEdgeStyle,in=-50,out=-120, + relative,looseness=2.5] + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{5}{4}{3} + \end{tikzpicture} +\end{tkzexample} + +\clearpage\newpage +\subsection{\tkzname{Robertson graph with new styles}} + +The code with new styles, the result is on the next page. + +\bigskip +\begin{tkzexample}[code only] + \begin{tikzpicture}[scale=1] + \GraphInit[vstyle=Art] + \SetGraphArtColor{gray}{red} + \begin{scope}[rotate=-30] + \grEmptyCycle[RA=5]{3} + \end{scope} + {\tikzset{EdgeStyle/.append style = {bend right=10}} + \grCycle[prefix=b,RA=3.5]{12}} + \grCirculant[prefix=c,RA=2]{4}{2} + {\tikzset{EdgeStyle/.append style = {bend left}} + \EdgeDoubleMod{c}{4}{0}{1}% + {b}{12}{4}{3}{4}} + {\tikzset{EdgeStyle/.append style = {bend right}} + \EdgeDoubleMod{c}{4}{0}{1} + {b}{12}{8}{3}{4}} + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{11}{4}{3} + \EdgeDoubleMod{c}{4}{0}{1}% + {b}{12}{0}{3}{4} + {\tikzset{EdgeStyle/.append style = {bend left=60}} + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{8}{4}{3}} + {\tikzset{EdgeStyle/.append style = {bend right=60}} + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{2}{4}{3}} + {\tikzset{EdgeStyle/.append style = {in=-50,out=-120,% + relative,looseness=2.5}} + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{5}{4}{3}} + \end{tikzpicture} +\end{tkzexample} + +\begin{center} +\begin{tikzpicture}[scale=1] +\GraphInit[vstyle=Art] +\SetGraphArtColor{gray}{red} +\begin{scope}[rotate=-30] + \grEmptyCycle[RA=5]{3} +\end{scope} +{\tikzset{EdgeStyle/.append style = {bend right=10}} +\grCycle[prefix=b,RA=3.5]{12}} +\grCirculant[prefix=c,RA=2]{4}{2} +{\tikzset{EdgeStyle/.append style = {bend left}} +\EdgeDoubleMod{c}{4}{0}{1}% + {b}{12}{4}{3}{4}} +{\tikzset{EdgeStyle/.append style = {bend right}} + \EdgeDoubleMod{c}{4}{0}{1} + {b}{12}{8}{3}{4}} + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{11}{4}{3} + \EdgeDoubleMod{c}{4}{0}{1}% + {b}{12}{0}{3}{4} +{\tikzset{EdgeStyle/.append style = {bend left=60}} + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{8}{4}{3}} +{\tikzset{EdgeStyle/.append style = {bend right=60}} + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{2}{4}{3}} + {\tikzset{EdgeStyle/.append style = {in=-50,out=-120,% + relative,looseness=2.5}} + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{5}{4}{3}} +\end{tikzpicture} +\end{center} +\clearpage\newpage +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––– Robertson Wegner –––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grRobertsonWegner}{\oarg{options}\var{$k$}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/Robertson-WegnerGraph.html} + +\medskip +\emph{he Robertson-Wegner graph is of the four (5,5)-cage graphs, also called Robertson's cage . Like the other (5,5)-cages, the Robertson-Wegner graph has 30 nodes. It has 75 edges, girth 5, diameter 3, and chromatic number 4.} +\href{http://mathworld.wolfram.com/Robertson-WegnerGraph.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +\end{NewMacroBox} + +\subsection{\tkzname{Robertson-Wegner graph}} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=90,scale=.6] + \GraphInit[vstyle=Art] + \tikzset{VertexStyle/.append style={minimum size=2pt}} + \grRobertsonWegner[RA=6] + \end{tikzpicture} +\end{tkzexample} +\end{center} + +The next code gives the same result + +\begin{tkzexample}[code only] +\begin{tikzpicture}[rotate=90] + \GraphInit[vstyle=Art] + \grLCF[RA=6]{6,12}{15} + \EdgeInGraphMod{a}{30}{9}{1}{6} \EdgeInGraphMod*{a}{30}{15}{2}{6} + \EdgeInGraphMod*{a}{30}{9}{3}{6} + \end{tikzpicture} +\end{tkzexample} + + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Tutte.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Tutte.tex new file mode 100644 index 0000000000..b97887549b --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Tutte.tex @@ -0,0 +1,44 @@ +\newpage\section{Tutte-Coxeter}\label{tutte} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––– Tutte –––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + + +\begin{NewMacroBox}{grTutteCoxeter}{\oarg{options}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/LeviGraph.html} + +\emph{The Levi graph is the unique (3,8)-cage graph and Moore graph. It is also distance-regular and is also called the Tutte-Coxeter graph or Tutte's 8-cage.} + +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +\medskip +From Wikipedia : \url{http://en.wikipedia.org/wiki/Tutte–Coxeter_graph} + +\emph{In the mathematical field of graph theory, the Tutte–Coxeter graph or Tutte eight-cage is a 3-regular graph with 30 vertices and 45 edges. As the unique smallest cubic graph of girth 8 it is a cage and a Moore graph. It is bipartite, and can be constructed as the Levi graph of the generalized quadrangle. The graph is named after William Thomas Tutte and H. S. M. Coxeter; it was discovered by Tutte (1947) but its connection to geometric configurations was investigated by both authors in a pair of jointly published papers (Tutte 1958; Coxeter 1958a).} +\end{NewMacroBox} + +\subsection{\tkzname{Tutte-Coxeter graph (3,8)-cage or Levi graph}} +An other method to get the same result is~: + +\medskip +\begin{tkzexample}[code only] + \grLCF[RA=7]{-13,-9,7,-7,9,13}{5}\end{tkzexample} + +\bigskip +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=.7] + \GraphInit[vstyle=Art] + \tikzset{VertexStyle/.append style={minimum size=2pt}} + \SetGraphArtColor{blue}{darkgray} + \grTutteCoxeter +\end{tikzpicture} +\end{tkzexample} + +\end{center} + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Wong.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Wong.tex new file mode 100644 index 0000000000..70441c32f2 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Wong.tex @@ -0,0 +1,32 @@ +\newpage\section{Wong}\label{wong} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––-––––––––––––> +%<–––––––––––––––––––– Wong (5,5)-cages –––––––––––––––––––––––––––––––> +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––-–––––––> +\begin{NewMacroBox}{grWong}{\oarg{options}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/WongGraph.html} + +\emph{The Wong graph is one of the four $(5,5)$-cage graphs. Like the other -cages, the Wong graph has 30 nodes. It has 75 edges, girth 5, diameter 3, chromatic number 4.} +\href{http://mathworld.wolfram.com/topics/GraphTheory.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} +\end{NewMacroBox} + + +\subsection{\tkzname{Wong graph}} +You can see the cage definition here : \ref{cage} + +\bigskip +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=90,scale=.6] + \GraphInit[vstyle=Art] + \SetGraphArtColor{red}{blue} + \grWong[RA=7] + \end{tikzpicture} +\end{tkzexample} +\end{center} + + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-couverture.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-couverture.tex new file mode 100644 index 0000000000..b39cf6e625 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-couverture.tex @@ -0,0 +1,28 @@ +\thispagestyle{empty} +\null\vfill +\begin{center} +\textcolor{Brown}{\fontsize{30}{30}\selectfont{\upshape Gallery of named graphs}} + +\vspace{0.25cm} +\hfill\textcolor{Brown}{\fontsize{14}{14}\selectfont{\upshape with tkz-berge.sty by Alain Matthes}} +\end{center} + +\vspace{3cm} +\begin{tikzpicture}[scale=5] + \SetVertexNoLabel + \tikzstyle{VertexStyle} = [draw, + shape = circle, + shading = ball, + ball color = red!50, + inner sep = 10pt, + outer sep = 0pt] + \tikzstyle{EdgeStyle} = [thick,line width= 2pt,color=red] + \draw[fill = white,color = white] circle (0.55cm); + \draw (0,0) node[circle,draw,shade, + ball color = orange, + minimum size = 3cm] (am){\textbf{AlterMundus}}; + \grIcosahedral[RA=1.4,RB=0.8] +\end{tikzpicture} +\vfill\newpage\null\thispagestyle{empty} +\endinput + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-main.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-main.tex new file mode 100644 index 0000000000..a79bc0a440 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-main.tex @@ -0,0 +1,172 @@ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% % +% NamedGraphs encodage : utf8 % +% % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% % +% Créé par Alain Matthes le 14/03/2007 % +% Copyright (c) 2007 __Collège Sévigné__ All rights reserved. % +% version : 1.0 % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% This file may be distributed and/or modified +% +% 1. under the LaTeX Project Public License , either version 1.3 +% of this license or (at your option) any later version and/or +% 2. under the GNU Public License. +% See http://www.latex-project.org/lppl.txt for details. +% graphs from graph theory + +\documentclass[DIV = 12, + fontsize = 10, + headinclude = false, + index = totoc, + footinclude = false, + twoside, + headings = small + ]{tkz-doc} +%\usepackage{svn-multi} +\usepackage{tkz-berge} + +\usepackage[pdftex, + unicode, + colorlinks = true, + pdfpagelabels, + urlcolor = blue, + filecolor = pdffilecolor, + linkcolor = blue, + breaklinks = false, + hyperfootnotes= false, + bookmarks = false, + bookmarksopen = false, + linktocpage = true, + pdfsubject ={Graph Theory}, + pdfauthor ={Alain Matthes}, + pdftitle ={NamedGraphs}, + pdfkeywords ={graph,berge}, + pdfcreator ={pdfeTeX} + ]{hyperref} +\usepackage{url} +\def\UrlFont{\small\ttfamily} +\usepackage[protrusion = true, + expansion, + final, + verbose = false + ]{microtype} + +\DisableLigatures{encoding = T1, family = tt*} + +\usepackage[parfill]{parskip} +\gdef\nameofpack{NamedGraphs} +\gdef\versionofpack{v 1.00 c} +\gdef\dateofpack{2011/05/26} +\gdef\nameofdoc{NamedGraphs} +\gdef\dateofdoc{2011/05/26} +\gdef\authorofpack{Alain Matthes} +\gdef\adressofauthor{} +\gdef\namecollection{AlterMundus} +\gdef\urlauthor{http://altermundus.fr} +\gdef\urlauthorcom{http://altermundus.com} +\title{The package : NamedGraphs} +\author{Alain Matthes} + +\usepackage{shortvrb,fancyvrb} +\usepackage[saved]{tkzexample} +\def\tkzFileSavedPrefix{tkzNamed} +\makeatletter +\renewcommand*\l@subsubsection{\bprot@dottedtocline{3}{3.8em}{4.2em}} +\makeatother +\AtBeginDocument{\MakeShortVerb{\|}} + +\pdfcompresslevel=9 +\pdfinfo{ + /Title (NamedGraphs.pdf) + /Creator (TeX) + /Producer (pdfeTeX) + /Author (Alain Matthes) + /CreationDate (26 mai 2011) + /Subject (Named Graphs) + /Keywords (pdfeTeX, graph, cyclic, berge, tikz, pdflatex) } + +\usepackage[english]{babel} +\usepackage[autolanguage]{numprint} +%<---------------------------------------------------------------------------> +\begin{document} +\parindent=0pt +\title{\nameofpack} +\date{\today} + +\clearpage +\thispagestyle{empty} +\maketitle + +\clearpage +\tkzSetUpColors[background=fondpaille,text=Maroon] +\colorlet{textcodecolor}{Maroon} +\pagecolor{fondpaille} +\color{Maroon} +\colorlet{graphicbackground}{fondpaille} +\colorlet{codebackground}{Peach!30} +\colorlet{codeonlybackground}{Peach!30} + + +\nameoffile{\nameofpack} + +\defoffile{\textbf{NamedGraphs.pdf} is not a beginner or advanced tutorial, not a study of graphs, it's only a gallery of undirected graphs made with the package \textcolor{red}{tkz-berge.sty v 1.00 c}. Some of graphs have names, sometimes inspired by the graph's topology, and sometimes after their discoverer. \textbf{NamedGraphs.pdf} presents some of them. A lot of references can be found here \url{http://mathworld.wolfram.com} +} + +\presentation + +\vspace{1cm} + +\tkzHand Firstly, I would like to thank \textbf{Till Tantau} for the beautiful LATEX package, namely TikZ. + +\tkzHand I am grateful to \textbf{Michel Bovani} for providing the \tkzname{fourier} font. + +\tkzHand I received much valuable advice and guidance on Graph Theory from \textbf{Rafael Villarroel}\\ \url{http://graphtheoryinlatex.blogspot.com/}. + +\tkzHand The names of graphs can be found here \href{http://mathworld.wolfram.com/topics/SimpleGraphs.html}% + {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + + +\clearpage +\tableofcontents + +\clearpage\newpage + +\setlength{\parskip}{1ex plus 0.5ex minus 0.2ex} +\tkzSetUpColors[background=fondpaille,text=Maroon] +\input{NamedGraphs-Andrasfai.tex} +\input{NamedGraphs-Balaban.tex} +\input{NamedGraphs-Bipartite.tex} +\input{NamedGraphs-Bull.tex} +\input{NamedGraphs-Cage.tex} +\input{NamedGraphs-Cocktail_Party.tex} +\input{NamedGraphs-Coxeter.tex} +\input{NamedGraphs-Chvatal.tex} +\input{NamedGraphs-Crown.tex} +\input{NamedGraphs-Cubicsymmetric.tex} +\input{NamedGraphs-Desargues.tex} +\input{NamedGraphs-Doyle.tex} +\input{NamedGraphs-Folkman.tex} +\input{NamedGraphs-Foster.tex} +\input{NamedGraphs-Franklin.tex} +\input{NamedGraphs-Gray.tex} +\input{NamedGraphs-Groetzsch.tex} +\input{NamedGraphs-Heawood.tex} +\input{NamedGraphs-Hypercube.tex} +\input{NamedGraphs-Koenisberg.tex} +\input{NamedGraphs-Levi.tex} +\input{NamedGraphs-Mcgee.tex} +\input{NamedGraphs-Moebius.tex} +\input{NamedGraphs-Pappus.tex} +\input{NamedGraphs-Petersen.tex} +\input{NamedGraphs-Platonic.tex} +\input{NamedGraphs-Robertson.tex} +\input{NamedGraphs-Tutte.tex} +\input{NamedGraphs-Wong.tex} + +\clearpage\newpage +\printindex +\end{document} + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/namedg.ist b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/namedg.ist new file mode 100644 index 0000000000..4c87f0fe9c --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/namedg.ist @@ -0,0 +1,6 @@ +heading_prefix "{\\bfseries\\hfil " +heading_suffix "\\hfil}\\nopagebreak\n" +headings_flag 1 +delim_0 "\\dotfill" +delim_1 "\\dotfill" +delim_2 "\\dotfill"
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-1-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-1-1-0.tex new file mode 100644 index 0000000000..4ee0964433 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-1-1-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[scale=.7] + \GraphInit[vstyle=Art] + \SetGraphArtColor{red}{olive} + \grAndrasfai[RA=7]{7} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-1-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-1-2-0.tex new file mode 100644 index 0000000000..f64d6b92cd --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-1-2-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{red}{olive} + \grAndrasfai[RA=7]{8} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-1-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-1-3-0.tex new file mode 100644 index 0000000000..c1903f9590 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-1-3-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{red}{olive} + \grAndrasfai[RA=7]{9} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-10-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-10-1-0.tex new file mode 100644 index 0000000000..e458cc78e0 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-10-1-0.tex @@ -0,0 +1,15 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=90] + \SetVertexNoLabel + \grLCF[RA=6]{3,-3}{4} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-10-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-10-2-0.tex new file mode 100644 index 0000000000..f972829018 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-10-2-0.tex @@ -0,0 +1,24 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=90] + \tikzstyle{VertexStyle} = [shape = circle,% + color = white, + fill = black, + very thin, + inner sep = 0pt,% + minimum size = 18pt, + draw] + \tikzstyle{EdgeStyle} = [thick,% + double = brown,% + double distance = 1pt] + \grLCF[Math,RA=6]{3,-3}{4} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-11-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-11-1-0.tex new file mode 100644 index 0000000000..211b956162 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-11-1-0.tex @@ -0,0 +1,14 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[scale=.6] + \grDesargues[Math,RA=6] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-11-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-11-2-0.tex new file mode 100644 index 0000000000..4a7a4288df --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-11-2-0.tex @@ -0,0 +1,14 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \grDesargues[form=2,Math,RA=7] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-11-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-11-3-0.tex new file mode 100644 index 0000000000..41c425e4c0 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-11-3-0.tex @@ -0,0 +1,14 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=90] + \grLCF[Math,RA=6]{5,-5,9,-9}{5} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-11-4-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-11-4-0.tex new file mode 100644 index 0000000000..1ce038440c --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-11-4-0.tex @@ -0,0 +1,24 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=90] + \tikzstyle{VertexStyle} = [shape = circle,% + color = white, + fill = black, + very thin, + inner sep = 0pt,% + minimum size = 18pt, + draw] + \tikzstyle{EdgeStyle} = [thick,% + double = brown,% + double distance = 1pt] + \grGeneralizedPetersen[Math,RA=6]{10}{3} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-12-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-12-1-0.tex new file mode 100644 index 0000000000..0df2c6012b --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-12-1-0.tex @@ -0,0 +1,17 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[scale=.6] + \GraphInit[vstyle=Shade] + \SetGraphShadeColor{red}{Maroon}{fondpaille} + \SetVertexNoLabel + \grDoyle[RA=7,RB=5,RC=3] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-12-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-12-2-0.tex new file mode 100644 index 0000000000..e41e900d63 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-12-2-0.tex @@ -0,0 +1,17 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \SetGraphShadeColor{red}{Magenta}{white} + \SetVertexNoLabel + \grDoyle[form=2,RA=7] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-12-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-12-3-0.tex new file mode 100644 index 0000000000..f05085a6d0 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-12-3-0.tex @@ -0,0 +1,17 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \SetGraphArtColor{red}{Magenta}{red} + \GraphInit[vstyle=Shade] + \SetVertexNoLabel + \grDoyle[form=3,RA=7,RB=2] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-12-4-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-12-4-0.tex new file mode 100644 index 0000000000..e5ff86ac68 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-12-4-0.tex @@ -0,0 +1,27 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[scale=.6] + \tikzstyle{VertexStyle} = [shape = circle, + ball color = gray!60, + minimum size = 16pt,draw] + \tikzstyle{EdgeStyle} = [thick,color=black,% + double = orange,% + double distance = 1pt] + \SetVertexNoLabel + \grCycle[RA=7.5]{9} + \grEmptyCycle[prefix=b,RA=5.5]{9} + \grCirculant[prefix=c,RA=3.5]{9}{4} + \EdgeIdentity{b}{c}{9} + \EdgeMod{a}{c}{9}{1} + \EdgeMod{a}{b}{9}{1} + \EdgeInGraphMod{b}{9}{2} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-13-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-13-1-0.tex new file mode 100644 index 0000000000..8127e033d1 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-13-1-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[scale=.8] + \GraphInit[vstyle=Art] + \SetGraphArtColor{blue}{darkgray} + \grFolkman[RA=6] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-13-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-13-2-0.tex new file mode 100644 index 0000000000..75a129bb3e --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-13-2-0.tex @@ -0,0 +1,28 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=45]% + \tikzstyle{VertexStyle} = [shape = circle, + shading = ball, + ball color = gray!60, + inner sep = 3pt, + draw] + \tikzstyle{EdgeStyle} = [thick,orange] + \SetVertexNoLabel + \grCycle[prefix=a,RA=3]{4}% + \grCycle[prefix=b,RA=4]{4}% + \grCycle[prefix=c,RA=5]{4}% + \grCycle[prefix=d,RA=6]{4}% + \grCycle[prefix=e,RA=7]{4}% + \foreach \r/\s/\t in {a/d/e,b/e/a,c/a/b,d/b/c,e/c/d}{% + \Edges(\r0,\s1,\r2,\t3,\r0) + } + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-13-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-13-3-0.tex new file mode 100644 index 0000000000..90d5fc1f8c --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-13-3-0.tex @@ -0,0 +1,30 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} +\begin{scope}[shift={(1,1)},rotate=45]\grEmptyPath[prefix=a,RA=1]{5} + \end{scope} +\begin{scope}[shift={(-1,1)},rotate=135]\grEmptyPath[prefix=b,RA=1]{5} + \end{scope} +\begin{scope}[shift={(-1,-1)},rotate=225]\grEmptyPath[prefix=c,RA=1]{5} + \end{scope} +\begin{scope}[shift={(1,-1)},rotate=315]\grEmptyPath[prefix=d,RA=1]{5} + \end{scope} + \EdgeIdentity*{a}{b}{0,...,4} \EdgeIdentity*{b}{c}{0,...,4} + \EdgeIdentity*{c}{d}{0,...,4} \EdgeIdentity*{d}{a}{0,...,4} + \EdgeDoubleMod{a}{5}{0}{1}{b}{5}{3}{1}{1} + \EdgeDoubleMod{a}{5}{2}{1}{b}{5}{0}{1}{2} + \EdgeDoubleMod{a}{5}{1}{1}{d}{5}{0}{1}{3} + \EdgeDoubleMod{c}{5}{2}{1}{b}{5}{0}{1}{2} + \EdgeDoubleMod{c}{5}{0}{1}{b}{5}{3}{1}{1} + \EdgeDoubleMod{c}{5}{1}{1}{d}{5}{0}{1}{3} + \Edges(a0,d4,c0) + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-13-4-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-13-4-0.tex new file mode 100644 index 0000000000..3f0fe8e7c1 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-13-4-0.tex @@ -0,0 +1,28 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[scale=.8] + \SetVertexNoLabel + \tikzstyle{VertexStyle} = [shape = circle, + shading = ball, + ball color = gray!60, + inner sep = 3pt, + draw] + \tikzstyle{EdgeStyle} = [thick,orange] + \grEmptyCycle[prefix=a,RA=1.85]{5} \grEmptyCycle[prefix=b,RA=3.7]{5} + \grCycle[prefix=c,RA=6]{10} + \EdgeDoubleMod{a}{5}{0}{1}{b}{5}{1}{1}{4} + \EdgeDoubleMod{a}{5}{0}{1}{b}{5}{4}{1}{4} + \EdgeDoubleMod{b}{5}{0}{1}{c}{10}{9}{2}{4} + \EdgeDoubleMod{b}{5}{0}{1}{c}{10}{1}{2}{4} + \EdgeDoubleMod{a}{5}{0}{1}{c}{10}{8}{2}{4} + \EdgeDoubleMod{a}{5}{0}{1}{c}{10}{2}{2}{4} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-14-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-14-1-0.tex new file mode 100644 index 0000000000..ee1de6c8f7 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-14-1-0.tex @@ -0,0 +1,19 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[scale=.6] + \renewcommand*{\VertexInnerSep}{2pt} + \renewcommand*{\EdgeLineWidth}{0.5pt} + \GraphInit[vstyle=Art] + \tikzset{VertexStyle/.append style={minimum size=2pt}} + \SetGraphColor{red}{blue} + \grLCF[Math,RA=6]{17, -9, 37, -37, 9, -17}{15} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-15-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-15-1-0.tex new file mode 100644 index 0000000000..978563079b --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-15-1-0.tex @@ -0,0 +1,14 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[scale=.7] + \grFranklin[Math,RA=7] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-15-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-15-2-0.tex new file mode 100644 index 0000000000..b7f4049f63 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-15-2-0.tex @@ -0,0 +1,21 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \grCycle[Math,RA=4,prefix=a]{6} + \grCycle[Math,RA=6,prefix=b]{6} + \foreach \x in {0,...,5}{% + \ifthenelse{\isodd{\x}}{% + \pgfmathsetcounter{tempi}{\x-1}}{% + \pgfmathsetcounter{tempi}{\x+1}} + \Edge(a\x)(b\thetempi) +} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-15-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-15-3-0.tex new file mode 100644 index 0000000000..38cb703bba --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-15-3-0.tex @@ -0,0 +1,14 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \grLCF[Math,RA=7]{-5,-3,3,5}{3} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-16-0-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-16-0-0.tex new file mode 100644 index 0000000000..b389e78760 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-16-0-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=90] + \GraphInit[vstyle=Art] + \SetGraphArtColor{gray}{red} + \grLCF[Math,RA=6]{-25,7,-7,13,-13,25}{9} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-17-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-17-1-0.tex new file mode 100644 index 0000000000..a3768e21f6 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-17-1-0.tex @@ -0,0 +1,14 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + + \begin{tikzpicture} + \grGrotzsch[RA=3,RB=6]{6}% + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-17-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-17-2-0.tex new file mode 100644 index 0000000000..43c5f63f8d --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-17-2-0.tex @@ -0,0 +1,14 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \grGrotzsch[form=2,RA=6,RB=3]{6}% + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-17-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-17-3-0.tex new file mode 100644 index 0000000000..eb0f1f2934 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-17-3-0.tex @@ -0,0 +1,24 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + + \begin{tikzpicture}[rotate=-18] + \draw[scale=.5,samples at={-6.4,-6.3,...,6.4}, + smooth,thick, + variable=\t, + double= red, + double distance = 1pt] + plot ({3*(1.5*cos(\t r) +3*cos(1.5*\t r))},% + {3*(1.5*sin(\t r) -3*sin(1.5*\t r))}); + \begin{scope}[rotate=36] + \grStar[prefix=a,RA=2.2]{6}% + \grEmptyCycle[prefix=b,RA=4.4]{5}% + \end{scope} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-18-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-18-1-0.tex new file mode 100644 index 0000000000..80ed3cd2f1 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-18-1-0.tex @@ -0,0 +1,15 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}% + \GraphInit[vstyle=Shade] + \grHeawood[RA=7] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-18-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-18-2-0.tex new file mode 100644 index 0000000000..a023a86a70 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-18-2-0.tex @@ -0,0 +1,15 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}% + \GraphInit[vstyle=Art] + \grLCF[RA=7]{5,9}{7}% + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-19-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-19-1-0.tex new file mode 100644 index 0000000000..7158b71caf --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-19-1-0.tex @@ -0,0 +1,26 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \grCycle[RA=8]{8} + \pgfmathparse{8*(1-4*sin(22.5)*sin(22.5))} + \let\tkzbradius\pgfmathresult + \grCirculant[prefix=b,RA=\tkzbradius]{8}{3} + \makeatletter + \foreach \vx in {0,...,7}{% + \pgfmathsetcounter{tkz@gr@n}{mod(\vx+1,8)} + \pgfmathsetcounter{tkz@gr@a}{mod(\vx+7,8)} + \pgfmathsetcounter{tkz@gr@b}{mod(\thetkz@gr@n+1,8)} + \Edge(a\thetkz@gr@n)(b\thetkz@gr@b) + \Edge(b\thetkz@gr@a)(a\vx) + } + \makeatother +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-2-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-2-1-0.tex new file mode 100644 index 0000000000..6d5cc6344c --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-2-1-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + + \begin{tikzpicture}[scale=.6] + \GraphInit[vstyle=Art] + \SetGraphArtColor{red}{olive} + \grBalaban[form=1,RA=7,RB=3,RC=3] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-2-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-2-2-0.tex new file mode 100644 index 0000000000..1f6e358fad --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-2-2-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + + \begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{gray}{blue!50} + \grBalaban[form=2,RA=7,RB=7,RC=4,RD=2.5] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-2-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-2-3-0.tex new file mode 100644 index 0000000000..afab96274a --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-2-3-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + + \begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{brown}{orange} + \grBalaban[form=3,RA=7,RB=6.5,RC=5.6,RD=5.6,RE=4.6] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-2-4-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-2-4-0.tex new file mode 100644 index 0000000000..e5cf6d76e7 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-2-4-0.tex @@ -0,0 +1,25 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + + \begin{tikzpicture}[scale=.7] + \renewcommand*{\VertexInnerSep}{3pt} + \renewcommand*{\VertexLineWidth}{0.4pt} + \GraphInit[vstyle=Art] + \SetGraphArtColor{red!50}{blue!50!black} + \grLCF[Math,RA=7]{% + 44,26,-47,-15,35,-39,11,-27,38,-37,43,14,28,51,-29,-16,41,-11,% + -26,15,22,-51,-35,36,52,-14,-33,-26,-46,52,26,16,43,33,-15,% + 17,-53,23,-42,-35,-28,30,-22, 45,-44,16,-38,-16,50,-55,20,28,% + -17,-43,47, 34,-26,-41,11,-36,-23,-16,41,17,-51,26,-33,47,17,% + -11,-20 ,-30,21,29,36,-43,-52,10,39,-28,-17,-52,51,26,37,-17,% + 10,-10,-45,-34,17,-26,27,-21,46,53,-10,29,-50,35,15,-47,-29,-41,% + 26,33,55,-17,42,-26,-36,16}{1} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-20-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-20-1-0.tex new file mode 100644 index 0000000000..ed9f57c5af --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-20-1-0.tex @@ -0,0 +1,14 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + + \begin{tikzpicture}[node distance=4cm] + \grKonisberg + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-20-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-20-2-0.tex new file mode 100644 index 0000000000..61e4c8270b --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-20-2-0.tex @@ -0,0 +1,33 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + + \begin{tikzpicture} + \renewcommand*{\VertexBallColor}{orange!50!red} + \renewcommand*{\EdgeDoubleDistance}{2pt} + \SetGraphUnit{4} + \GraphInit[vstyle=Shade] + \tikzset{LabelStyle/.style = {draw, + fill = yellow, + text = red}} + \Vertex{A} + \EA(A){B} + \EA(B){C} + {\SetGraphUnit{8} + \NO(B){D}} + \Edge[label=1](B)(D) + \tikzset{EdgeStyle/.append style = {bend left}} + \Edge[label=4](A)(B) + \Edge[label=5](B)(A) + \Edge[label=6](B)(C) + \Edge[label=7](C)(B) + \Edge[label=2](A)(D) + \Edge[label=3](D)(C) + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-21-0-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-21-0-0.tex new file mode 100644 index 0000000000..d694b6c8fc --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-21-0-0.tex @@ -0,0 +1,11 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-21-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-21-1-0.tex new file mode 100644 index 0000000000..60007b6f27 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-21-1-0.tex @@ -0,0 +1,15 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + + \begin{tikzpicture} + \GraphInit[vstyle=Art] + \grLCF[prefix=a,RA=6]{-13,-9,7,-7,9,13}{5} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-21-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-21-2-0.tex new file mode 100644 index 0000000000..3e7d5bbb76 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-21-2-0.tex @@ -0,0 +1,19 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCycle[prefix=a,RA=7]{10} + \EdgeInGraphMod{a}{10}{5} + \grEmptyCycle[prefix=b,RA=5]{10} + \grEmptyCycle[prefix=c,RA=3]{10} + \EdgeInGraphMod{c}{10}{4} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-22-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-22-1-0.tex new file mode 100644 index 0000000000..494c2a0ba0 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-22-1-0.tex @@ -0,0 +1,15 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=90] + \GraphInit[vstyle=Art] + \grMcGee[Math,RA=6] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-22-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-22-2-0.tex new file mode 100644 index 0000000000..c8d5c829ce --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-22-2-0.tex @@ -0,0 +1,15 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=90] + \GraphInit[vstyle=Art] + \grLCF[Math,RA=6]{-12,-6,6,-12,7,-7,-12,6,-6,-12,7,-7}{2} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-22-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-22-3-0.tex new file mode 100644 index 0000000000..28c1d987c1 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-22-3-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=90] + \GraphInit[vstyle=Art] + \grLCF[Math,RA=6]{-12,6,-7,-12,7,-8,11,-6,6,-11,8,% + -7,-12,7,-6,-12,7,-11,-8,7,-7,8,11,-7}{1} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-23-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-23-1-0.tex new file mode 100644 index 0000000000..41bea31791 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-23-1-0.tex @@ -0,0 +1,17 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \SetGraphArtColor{red}{olive} + \SetVertexNoLabel + \grMobiusKantor[RA=7] +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-23-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-23-2-0.tex new file mode 100644 index 0000000000..bcbaf04d5a --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-23-2-0.tex @@ -0,0 +1,17 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=22.5] + \GraphInit[vstyle=Shade] + \SetGraphArtColor{red!50}{brown!50} + \SetVertexNoLabel + \grMobiusKantor[form=2,RA=7,RB=3] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-23-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-23-3-0.tex new file mode 100644 index 0000000000..e64f642ab8 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-23-3-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \SetVertexNoLabel + \grMobiusKantor[form=3,RA=7,RB=2] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-23-4-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-23-4-0.tex new file mode 100644 index 0000000000..8ad3c6867c --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-23-4-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=90] + \GraphInit[vstyle=Shade] + \SetVertexNoLabel + \grLCF[RA=7]{5,-5}{8} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-23-5-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-23-5-0.tex new file mode 100644 index 0000000000..7c96d7b87b --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-23-5-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \SetVertexNoLabel + \grGeneralizedPetersen[RA=7,RB=4]{8}{3} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-23-6-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-23-6-0.tex new file mode 100644 index 0000000000..73e2cee43b --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-23-6-0.tex @@ -0,0 +1,15 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grMobiusLadder[RA=7,RB=2]{8}% + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-23-7-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-23-7-0.tex new file mode 100644 index 0000000000..a2cce4927a --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-23-7-0.tex @@ -0,0 +1,15 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grCirculant[RA=7]{16}{1,8}% +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-24-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-24-1-0.tex new file mode 100644 index 0000000000..7cec5efe7f --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-24-1-0.tex @@ -0,0 +1,15 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[scale=.7] + \GraphInit[vstyle=Art] + \grPappus[RA=7] +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-24-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-24-2-0.tex new file mode 100644 index 0000000000..90ada5f2a9 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-24-2-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{red}{olive} + \grPappus[form=2,RA=7,RB=5,RC=3] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-24-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-24-3-0.tex new file mode 100644 index 0000000000..1df7710acc --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-24-3-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{gray}{blue} + \grPappus[form=3,RA=7,RB=5,RC=2.5] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-1-0.tex new file mode 100644 index 0000000000..78696406f7 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-1-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[scale=.8] + \GraphInit[vstyle=Art] + \SetGraphArtColor{red}{olive} + \grPetersen[form=1,RA=5,RB=3]% + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-2-0.tex new file mode 100644 index 0000000000..43b320fc8e --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-2-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}% + \GraphInit[vstyle=Art] + \SetGraphArtColor{red}{olive} + \grPetersen[form=2,RA=7,RB=3]% +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-3-0.tex new file mode 100644 index 0000000000..c638f4bc03 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-3-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}% + \GraphInit[vstyle=Art] + \SetGraphArtColor{red}{olive} + \grPetersen[form=3,RA=7]% +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-4-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-4-0.tex new file mode 100644 index 0000000000..335973b175 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-4-0.tex @@ -0,0 +1,21 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} +\GraphInit[vstyle=Art]\SetGraphArtColor{white}{blue} + \begin{scope}[rotate=-90] \grCirculant[RA=1.5,prefix=a]{5}{2}\end{scope} + \begin{scope}[rotate=-18] \grEmptyCycle[RA=4,prefix=b]{5}{2} \end{scope} + \begin{scope}[rotate=18] \grCycle[RA=7,prefix=c]{5} \end{scope} + \EdgeIdentity{a}{b}{5} + \EdgeIdentity{b}{c}{5} + \EdgeDoubleMod{b}{5}{0}{1}{a}{5}{2}{1}{5} + \EdgeDoubleMod{c}{5}{0}{1}{b}{5}{1}{1}{5} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-5-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-5-0.tex new file mode 100644 index 0000000000..89acf09c30 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-5-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=90,scale=.6] + \GraphInit[vstyle=Art]\SetGraphArtColor{red}{olive} + \renewcommand*{\VertexInnerSep}{4pt} + \grGeneralizedPetersen[RA=5,RB=2]{5}{1} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-6-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-6-0.tex new file mode 100644 index 0000000000..6d12e99b57 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-6-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=90] + \GraphInit[vstyle=Art]\SetGraphArtColor{red}{olive} + \renewcommand*{\VertexInnerSep}{8pt} + \grGeneralizedPetersen[RA=7,RB=4]{5}{2} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-7-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-7-0.tex new file mode 100644 index 0000000000..78e918da20 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-7-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=90] + \GraphInit[vstyle=Art]\SetGraphArtColor{red}{olive} + \renewcommand*{\VertexInnerSep}{8pt} + \grGeneralizedPetersen[RA=7,RB=4]{6}{2} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-8-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-8-0.tex new file mode 100644 index 0000000000..638d46ab05 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-8-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=90] + \GraphInit[vstyle=Art]\SetGraphArtColor{red}{olive} + \renewcommand*{\VertexInnerSep}{8pt} + \grGeneralizedPetersen[RA=7,RB=4]{7}{3} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-9-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-9-0.tex new file mode 100644 index 0000000000..a00109cd92 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-25-9-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=90] + \renewcommand*{\VertexInnerSep}{8pt} + \GraphInit[vstyle=Art]\SetGraphArtColor{red}{olive} + \grGeneralizedPetersen[RA=7,RB=4]{11}{5} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-1-0.tex new file mode 100644 index 0000000000..e194c82e94 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-1-0.tex @@ -0,0 +1,17 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[scale=.6] + \GraphInit[vstyle=Shade] + \renewcommand*{\VertexInnerSep}{4pt} + \SetVertexNoLabel\SetGraphShadeColor{red!50}{black}{red} + \grTetrahedral[RA=5] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-10-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-10-0.tex new file mode 100644 index 0000000000..d1650afd6e --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-10-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=18] + \GraphInit[vstyle=Art] \renewcommand*{\VertexInnerSep}{8pt} + \SetGraphArtColor{red!50}{orange} + \grLCF[RA=7]{-4,-3,4}{6} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-11-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-11-0.tex new file mode 100644 index 0000000000..3c44bc233f --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-11-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=18] + \GraphInit[vstyle=Art] + \SetGraphArtColor{red!50}{orange} + \grLCF[RA=7]{-2,2,3}{6} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-12-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-12-0.tex new file mode 100644 index 0000000000..1cfde0ae22 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-12-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=18,scale=.6] + \GraphInit[vstyle=Art] + \SetGraphArtColor{red!50}{orange} + \grDodecahedral[RA=7,RB=4,RC=2,RD=1] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-13-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-13-0.tex new file mode 100644 index 0000000000..191a03969d --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-13-0.tex @@ -0,0 +1,17 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \grCycle[RA=7,prefix=a]{10} + \grSQCycle[RA=4,prefix=b]{10} + \foreach \v in {0,...,9} + {\Edge(a\v)(b\v)} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-14-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-14-0.tex new file mode 100644 index 0000000000..5b0de8d31d --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-14-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=18] + \GraphInit[vstyle=Art] + \SetGraphArtColor{red!50}{orange} + \grLCF[RA=7]{10,7,4,-4,-7,10,-4,7,-7,4}{2} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-2-0.tex new file mode 100644 index 0000000000..ba8e47274e --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-2-0.tex @@ -0,0 +1,17 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=18] + \renewcommand*{\VertexInnerSep}{8pt} + \GraphInit[vstyle=Art] + \SetGraphArtColor{red!50}{orange} + \grLCF[RA=7]{2,-2}{2} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-3-0.tex new file mode 100644 index 0000000000..3c6cc7238d --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-3-0.tex @@ -0,0 +1,14 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \grSQCycle[RA=5]{6} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-4-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-4-0.tex new file mode 100644 index 0000000000..5c1c3cf67f --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-4-0.tex @@ -0,0 +1,14 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \grCubicalGraph[RA=5,RB=2] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-5-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-5-0.tex new file mode 100644 index 0000000000..b8825d0dbd --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-5-0.tex @@ -0,0 +1,14 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \grCubicalGraph[form=2,RA=7,RB=4] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-6-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-6-0.tex new file mode 100644 index 0000000000..689a8b84c5 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-6-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=18] + \GraphInit[vstyle=Art]\renewcommand*{\VertexInnerSep}{8pt} + \SetGraphArtColor{red!50}{orange} + \grLCF[RA=7]{3,-3}{4} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-7-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-7-0.tex new file mode 100644 index 0000000000..4bb0230a82 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-7-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[scale=.8] + \GraphInit[vstyle=Art]\renewcommand*{\VertexInnerSep}{4pt} + \SetGraphArtColor{red}{orange} + \grIcosahedral[RA=5,RB=1] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-8-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-8-0.tex new file mode 100644 index 0000000000..c3894e0682 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-8-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=-30] + \GraphInit[vstyle=Art] \renewcommand*{\VertexInnerSep}{8pt} + \SetGraphArtColor{red!50}{orange} + \grIcosahedral[form=2,RA=8,RB=2,RC=.8] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-9-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-9-0.tex new file mode 100644 index 0000000000..d8757f13ff --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-26-9-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + + \begin{tikzpicture} + \GraphInit[vstyle=Art] \renewcommand*{\VertexInnerSep}{8pt} + \SetGraphArtColor{red!50}{orange} + \grIcosahedral[RA=1,RB=7] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-27-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-27-1-0.tex new file mode 100644 index 0000000000..713e6edf60 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-27-1-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[scale=.6] + \GraphInit[vstyle=Art] + \SetGraphArtColor{black}{gray} + \grRobertson[RA=7] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-27-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-27-2-0.tex new file mode 100644 index 0000000000..dfd0791af8 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-27-2-0.tex @@ -0,0 +1,54 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[scale=.9] + \tikzstyle{TempEdgeStyle}= [thick,black,% + double = gray,% + double distance = 1.5pt]% + \SetVertexNoLabel + \renewcommand*{\VertexBigMinSize}{14pt} + \GraphInit[vstyle=Shade] + \SetVertexNoLabel + \SetUpEdge[style = {thick,% + double = orange,% + double distance = 1pt}] + + \SetGraphShadeColor{gray}{black}{gray} + \tikzstyle{EdgeStyle} = [TempEdgeStyle] + \begin{scope}[rotate=-30] + \grEmptyCycle[RA=5.4]{3} + \end{scope} + \tikzstyle{EdgeStyle}= [TempEdgeStyle,bend right=10] + \grCycle[prefix=b,RA=4]{12} + \tikzstyle{EdgeStyle}= [TempEdgeStyle] + \grCirculant[prefix=c,RA=2]{4}{2} + \tikzstyle{EdgeStyle}= [TempEdgeStyle,bend left] + \EdgeDoubleMod{c}{4}{0}{1}% + {b}{12}{4}{3}{4} + \tikzstyle{EdgeStyle}= [TempEdgeStyle,bend right] + \EdgeDoubleMod{c}{4}{0}{1} + {b}{12}{8}{3}{4} + \tikzstyle{EdgeStyle}= [TempEdgeStyle] + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{11}{4}{3} + \EdgeDoubleMod{c}{4}{0}{1}% + {b}{12}{0}{3}{4} + \tikzstyle{EdgeStyle}= [TempEdgeStyle,bend left=60] + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{8}{4}{3} + \tikzstyle{EdgeStyle}= [TempEdgeStyle,bend right=60] + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{2}{4}{3} + \tikzstyle{EdgeStyle}=[TempEdgeStyle,in=-50,out=-120, + relative,looseness=2.5] + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{5}{4}{3} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-27-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-27-3-0.tex new file mode 100644 index 0000000000..18b81fa6b1 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-27-3-0.tex @@ -0,0 +1,41 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + + \begin{tikzpicture}[scale=1] + \GraphInit[vstyle=Art] + \SetGraphArtColor{gray}{red} + \begin{scope}[rotate=-30] + \grEmptyCycle[RA=5]{3} + \end{scope} + {\tikzset{EdgeStyle/.append style = {bend right=10}} + \grCycle[prefix=b,RA=3.5]{12}} + \grCirculant[prefix=c,RA=2]{4}{2} + {\tikzset{EdgeStyle/.append style = {bend left}} + \EdgeDoubleMod{c}{4}{0}{1}% + {b}{12}{4}{3}{4}} + {\tikzset{EdgeStyle/.append style = {bend right}} + \EdgeDoubleMod{c}{4}{0}{1} + {b}{12}{8}{3}{4}} + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{11}{4}{3} + \EdgeDoubleMod{c}{4}{0}{1}% + {b}{12}{0}{3}{4} + {\tikzset{EdgeStyle/.append style = {bend left=60}} + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{8}{4}{3}} + {\tikzset{EdgeStyle/.append style = {bend right=60}} + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{2}{4}{3}} + {\tikzset{EdgeStyle/.append style = {in=-50,out=-120,% + relative,looseness=2.5}} + \EdgeDoubleMod{a}{3}{0}{1}% + {b}{12}{5}{4}{3}} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-27-4-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-27-4-0.tex new file mode 100644 index 0000000000..11174d129d --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-27-4-0.tex @@ -0,0 +1,17 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=90] + \GraphInit[vstyle=Art] + \grLCF[RA=6]{6,12}{15} + \EdgeInGraphMod{a}{30}{9}{1}{6} \EdgeInGraphMod*{a}{30}{15}{2}{6} + \EdgeInGraphMod*{a}{30}{9}{3}{6} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-28-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-28-1-0.tex new file mode 100644 index 0000000000..3fafcde3fb --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-28-1-0.tex @@ -0,0 +1,17 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[scale=.7] + \GraphInit[vstyle=Art] + \tikzset{VertexStyle/.append style={minimum size=2pt}} + \SetGraphArtColor{blue}{darkgray} + \grTutteCoxeter +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-29-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-29-1-0.tex new file mode 100644 index 0000000000..89086ae650 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-29-1-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=90,scale=.6] + \GraphInit[vstyle=Art] + \SetGraphArtColor{red}{blue} + \grWong[RA=7] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-3-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-3-1-0.tex new file mode 100644 index 0000000000..e68a2b43ae --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-3-1-0.tex @@ -0,0 +1,19 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + + \begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCompleteBipartite[RA=2,RB=2,RS=3]{3}{2} +\end{tikzpicture}\hspace*{2cm} +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCompleteBipartite[RA=2,RB=2,RS=3]{3}{3} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-3-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-3-2-0.tex new file mode 100644 index 0000000000..0716fcaf21 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-3-2-0.tex @@ -0,0 +1,15 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[scale=1.5] + \GraphInit[vstyle=Art] + \grCompleteBipartite[RA=3,RB=2,RS=5]{3}{5} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-3-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-3-3-0.tex new file mode 100644 index 0000000000..abd3a5b475 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-3-3-0.tex @@ -0,0 +1,39 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCirculant[RA=3]{6}{1,3} +\end{tikzpicture}\hspace*{12pt} +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCirculant[RA=3]{8}{1,3} +\end{tikzpicture} + +\vspace*{12pt} +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCirculant[RA=3]{10}{1,3,5} +\end{tikzpicture}\hspace*{12pt} +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCirculant[RA=3]{12}{1,3,5} +\end{tikzpicture} + +\vspace*{12pt} +\begin{tikzpicture} + \GraphInit[vstyle=Art] +\grCirculant[RA=3]{14}{1,3,5,7} +\end{tikzpicture}\hspace*{12pt} +\begin{tikzpicture} + \GraphInit[vstyle=Art] +\grCirculant[RA=3]{16}{1,3,5,7} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-4-0-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-4-0-0.tex new file mode 100644 index 0000000000..95da4ccf02 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-4-0-0.tex @@ -0,0 +1,22 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[node distance=4cm] + \GraphInit[vstyle=Shade] + \Vertex{a0} + \NOEA(a0){a2} + \NOEA(a2){a4} + \NOWE(a0){a1} + \NOWE(a1){a3} + \Edges(a0,a1,a3) + \Edges(a0,a2,a4) + \Edge(a1)(a2) + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-6-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-6-1-0.tex new file mode 100644 index 0000000000..80404d7859 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-6-1-0.tex @@ -0,0 +1,14 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + + \begin{tikzpicture} + \grCocktailParty[RA=3,RS=5]{4} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-6-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-6-2-0.tex new file mode 100644 index 0000000000..d70e476fb3 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-6-2-0.tex @@ -0,0 +1,14 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + + \begin{tikzpicture} + \grCocktailParty[form=2,RA=4,RS=6]{4} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-7-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-7-1-0.tex new file mode 100644 index 0000000000..ac18fc5f03 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-7-1-0.tex @@ -0,0 +1,22 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[rotate=90,scale=1] + \GraphInit[vstyle=Art] + \SetGraphArtColor{magenta}{gray} + \grCycle[RA=5,prefix=a]{7} + \begin{scope}[rotate=-20]\grEmptyCycle[RA=4,prefix=b]{7}\end{scope} + \grCirculant[RA=3,prefix=c]{7}{2} + \grCirculant[RA=1.4,prefix=d]{7}{3} + \EdgeIdentity{a}{b}{7} + \EdgeIdentity{b}{c}{7} + \EdgeIdentity{b}{d}{7} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-7-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-7-2-0.tex new file mode 100644 index 0000000000..2249d74e9e --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-7-2-0.tex @@ -0,0 +1,23 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{magenta}{gray} + \grCycle[RA=7,prefix=b]{24} + \grEmptyStar[RA=3,prefix=a]{4} + \EdgeDoubleMod{a}{3}{0}{1}{b}{24}{0}{8}{2} + \EdgeDoubleMod{a}{3}{0}{1}{b}{24}{7}{8}{2} + \EdgeDoubleMod{a}{3}{0}{1}{b}{24}{18}{8}{2} + \EdgeDoubleMod{a}{4}{3}{0}{b}{24}{22}{8}{2} + \EdgeInGraphMod*{b}{24}{6}{5}{8} + \EdgeInGraphMod*{b}{24}{11}{1}{8} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-7-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-7-3-0.tex new file mode 100644 index 0000000000..078d74c5fe --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-7-3-0.tex @@ -0,0 +1,23 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{magenta}{gray} + \grCycle[RA=7,prefix=c]{7} + \grEmptyCycle[RA=6,prefix=b]{7} + \begin{scope}[rotate=12.85]\grEmptyCycle[RA=5,prefix=a]{14}\end{scope} + \EdgeIdentity{b}{c}{7} + \EdgeDoubleMod{b}{7}{0}{1}{a}{14}{0}{2}{6} + \EdgeDoubleMod{b}{7}{0}{1}{a}{14}{13}{2}{6} + \EdgeInGraphModLoop{a}{14}{4}{0}{0} + \EdgeInGraphModLoop{a}{14}{6}{1}{1} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-7-4-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-7-4-0.tex new file mode 100644 index 0000000000..2803dcd4a5 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-7-4-0.tex @@ -0,0 +1,20 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture}[scale=3] + \GraphInit[vstyle=Art] + \SetGraphArtColor{blue}{cyan} + \begin{scope}[rotate=5]\grCycle[RA=2.5,prefix=a]{10}\end{scope} + \begin{scope}[rotate=-10]\grCirculant[RA=1.8,prefix=b]{10}{5}\end{scope} + \begin{scope}[rotate=36]\grCirculant[RA=1.1,prefix=c]{10}{3}\end{scope} + \EdgeIdentity{a}{b}{10} + \EdgeIdentity{b}{c}{10} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-7-5-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-7-5-0.tex new file mode 100644 index 0000000000..57d0fce89f --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-7-5-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{blue}{darkgray} + \grLCF[RA=7]{-13,-9,7,-7,9,13}{5} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-8-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-8-1-0.tex new file mode 100644 index 0000000000..5ba87cce98 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-8-1-0.tex @@ -0,0 +1,17 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + + \begin{tikzpicture}[scale=.7] + \GraphInit[vstyle=Shade] + \SetVertexNoLabel + \SetGraphShadeColor{blue!50!black}{blue}{gray} + \grChvatal[RA=6,RB=2] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-8-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-8-2-0.tex new file mode 100644 index 0000000000..48629ee0e9 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-8-2-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + + \begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{blue!50!black}{gray} + \grChvatal[form=2,RA=7,RB=4,RC=1.4] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-8-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-8-3-0.tex new file mode 100644 index 0000000000..4c5b99920d --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-8-3-0.tex @@ -0,0 +1,16 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + + \begin{tikzpicture} + \GraphInit[vstyle=Art] + \SetGraphArtColor{blue!50!black}{gray} + \grChvatal[form=3,RA=7] + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-9-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-9-1-0.tex new file mode 100644 index 0000000000..efaee035e3 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-9-1-0.tex @@ -0,0 +1,23 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} +\tikzstyle{VertexStyle} = [shape = circle, + shading = ball, + ball color = green, + minimum size = 24pt, + draw] +\tikzstyle{EdgeStyle} = [thick, + double = orange, + double distance = 1pt] +\SetVertexLabel\SetVertexMath +\grCrown[RA=3,RS=6]{4} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-9-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-9-2-0.tex new file mode 100644 index 0000000000..af61cf2d9e --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/latex/tkzNamed-9-2-0.tex @@ -0,0 +1,14 @@ +% +% tkz-namedgraphs (27/05/2011) +% +% Coding (utf8) Creator (TeX) Producer (pdfeTeX) +% Author Alain Matthes +\input{tkzpreamblenamed.ltx} + +\begin{document} + +\begin{tikzpicture} + \grCrown[form=2,RA=4,RS=6]{4} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/tkzpreamblenamed.ltx b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/tkzpreamblenamed.ltx new file mode 100644 index 0000000000..7b14669589 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/examples/tkzpreamblenamed.ltx @@ -0,0 +1,6 @@ +\documentclass{scrartcl} +\usepackage[utf8]{inputenc} +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{fullpage} +\usepackage{tkz-berge} +\thispagestyle{empty}
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/readme-namedgraph.txt b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/readme-namedgraph.txt new file mode 100644 index 0000000000..2f491181b6 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/readme-namedgraph.txt @@ -0,0 +1,33 @@ +% encodage utf8 +-------------------- english readme ---------------------------------------- +readme-namedgraphs.txt V 1.00 c 26/05/2011 + +The file namedgraphs.pdf is not a beginner or advanced tutorial, not a study + of graphs, it's only a gallery of undirected graphs made with the package + tkz-berge.sty v 1.00 c. Some of graphs have names, sometimes inspired by + the graph's topology, and sometimes after their discoverer. NamedGraphs.pdf + presents some of them. A lot of references can be found here: +http://mathworld.wolfram.com. + +Licence +------- + +This document can be redistributed and/or modified under the terms +of the LaTeX Project Public License Distributed from CTAN +archives in directory macros/latex/base/lppl.txt. + +Compilation of the sources +-------------------------- + +-- Encoding = utf8 +-- Engine = pdflatex +-- You need the tkz-doc.cls class and tkzexample.sty package. + + + Alain Matthes + 5 rue de Valence + Paris 75005 + + al (dot) ma (at) mac (dot) com + +
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/doc/latex/TKZdoc-berge-classic.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/doc/latex/TKZdoc-berge-classic.tex new file mode 100644 index 0000000000..f0ba383631 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/doc/latex/TKZdoc-berge-classic.tex @@ -0,0 +1,643 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-berge/doc-us/TKZdoc-berge-main.tex +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\section{Classic Graphs} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––– graphes classiques –––––––––––––––––––––––––> +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\subsubsection{Cycle graph} +\begin{NewMacroBox}{grCycle}{\oarg{local options}\var{order}} + +\medskip +\emph{A cycle graph $C_n$ is a graph on $n$ nodes containing a single cycle through all nodes. Cycle graphs can be generated using \tkzcname{grCycle} in the \tkzname{tkz-berge.sty} package. Special cases include the triangle graph and the square graph.} + +\medskip +External links : + +\medskip +\begin{itemize} + +\item \href{http://mathworld.wolfram.com/CycleGraph.html}% + {\textcolor{blue}{MathWorld - CycleGraph}} by % + \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + +\item \href{http://en.wikipedia.org/wiki/Cycle_graph}% + {\textcolor{blue}{Wikipedia}} + +\end{itemize} +\end{NewMacroBox} + +\subsubsection{Special cases : the triangle graph and the square graph} + + +\begin{center} +\begin{tkzexample}[small] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grCycle[prefix=a,RA=3]{5} + \grCycle[x=4,y=3,prefix=b,RA=2]{3} + \grCycle[prefix=d,y=6,rotation=30,RA=2]{4} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\newpage +\subsubsection{Complete graph} +\begin{NewMacroBox}{grComplete}{\oarg{local options}\var{order}} + +\medskip +\emph{The more simple definition is "an undirected graph with an edge between every pair of vertices" or a complete graph is a simple graph in which each pair of graph vertices is connected by an edge. The complete graph with $n$ graph vertices is denoted $K_n$. This graph has $\frac{n(n-1)}{2}$ undirected edges.\\ +Geometrically, $K_3$ relates to a triangle,$ K_4$ a tetrahedron is the tetrahedral graph as well as the wheel graph , $K_5$ a pentachoron, etc \dots} + +\medskip +External links : + +\medskip +\begin{itemize} + +\item \href{http://en.wikipedia.org/wiki/Complete_graph}% + {\textcolor{blue}{Wikipedia}} + +\item \href{http://mathworld.wolfram.com/grComplete.html}% + {\textcolor{blue}{MathWorld - Complete graph}} by % + \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} +\end{itemize} +\end{NewMacroBox} + + +\subsubsection{Complete Graph order 4} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \renewcommand*{\VertexBallColor}{green!50!black} + \GraphInit[vstyle=Shade] + \grComplete[RA=5]{7} +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\vfill\newpage\null + +\subsubsection{Complete Graph order 4} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \renewcommand*{\VertexBallColor}{green!50!black} + \GraphInit[vstyle=Shade] + \SetVertexNoLabel + \grComplete[RA=7]{16} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newpage +\subsubsection{Circulant graph} +\begin{NewMacroBox}{grCirculant}{\oarg{local options}\var{order}} + +\medskip +\emph{The circulant graph is defined for any order $n$ at least 3, and every subset $L$ of integers which are less than or equal to $n/2$. A circulant graph is a graph in which the $i$th graph vertex is adjacent to the ($i+j$)th and ($i-j$)th graph vertices for each $j$ in a list $L$ . The circulant graphs with $L=\{1;\dots;[n/2]\}$ gives the complete graphs and the circulant graph with $L=\{1\}$ gives the cyclic graphs. The Möbius ladders are examples of circulant graphs.\\ + In graph theory, a graph whose adjacency matrix is circulant is called a circulant graph.\\ +The circulant graph on vertices on a list of nodes is implemented as \tkzcname{grCirculant} in the \tkzname{tkz-berge.sty} package.} + +\medskip +External links : + +\href{http://mathworld.wolfram.com/CirculantGraph.html}% + {\textcolor{blue}{MathWorld - CirculantGraph}} by % + \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} +\end{NewMacroBox} + +\tikzset{VertexStyle/.style = {shape = circle, + shading = ball, + ball color = green!40!black,% + minimum size = 16pt,% + draw}} +\SetUpEdge[style = {thick,% + double = orange,% + double distance = 1pt}] + +\SetVertexNoLabel +\tikzset{EdgeStyle/.style = {thick, + double= orange, + double distance = 1pt}} + +\subsubsection{ \opt{Graph order 5 with L=\{1\}}} + +This is a cycle graph. + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \grCirculant[RA=3]{5}{1}% +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsubsection{\opt{Graph order 5 with L=\{2\}}} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \grCirculant[RA=3]{5}{2}% +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\subsubsection{\opt{Graph order 5 with L=\{1,2\}}} + +This graph is complete with an order $5$. + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \grCirculant[RA=3]{5}{1,2}% +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\subsubsection{\opt{Graph order 10 with L=\{1,2,3,4,5\}}} + +This graph is also complete + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \grCirculant[RA=4]{10}{1,2,3,4,5}% +\end{tikzpicture} +\end{tkzexample} +\end{center} + +It's interesting to remark that the numbers 3 and 10 are primer, so if $L=\{3\} $ the graph is containing an Eulerian circuit. + + +\subsubsection{\opt{Graph order 10 with L=\{3\}}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \grCirculant[RA=4]{10}{3}% +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage\null +\tikzset{VertexStyle/.style = {shape = circle, + shading = ball, + ball color = gray!30,% + minimum size = 24pt,% + draw}} +\tikzset{EdgeStyle/.style = {thick,% + double = orange,% + double distance = 1pt}} +\SetVertexMath + +\subsubsection{\opt{Graph order 21 with L=\{1,3,10\}}} + +\SetVertexNoLabel +\begin{tikzpicture} + \grCirculant[Math,RA=7]{21}{1,3,10} +\end{tikzpicture} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––– STAR –––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\newpage +\subsubsection{Star graph} + +\begin{NewMacroBox}{grStar}{\oarg{local options}\var{order}} + +\medskip +\emph{A star graph $S_n$ is a n-graph with one node having vertex degree $n-1$ and the other $n-1$ having vertex degree $1$. Star graphs can be generated using \tkzcname{grStar} in the \tkzname{tkz-berge.sty} package.} + +\medskip +External links : + +\medskip +\begin{itemize} +\item \href{http://mathworld.wolfram.com/StarGraph.html}% + {\textcolor{blue}{MathWorld - StarGraph}} by % + \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{Weisstein}} +\end{itemize} +\end{NewMacroBox} + +\tikzset{VertexStyle/.style = {shape = circle, + shading = ball, + ball color = orange!40!,% + minimum size = 26pt,% + draw}} +\SetUpEdge[style={thick,% + double = orange,% + double distance = 1pt}] +\SetVertexNoLabel +\tikzset{EdgeStyle/.style = {thick, + double= orange, + double distance = 1pt }} + +\subsubsection{Star graph} +\begin{center} + \begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=30,scale=.8] + \grStar[RA=7]{8}% +\end{tikzpicture} +\end{tkzexample} +\end{center} + +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newpage +\subsubsection{Square graph} + + \begin{NewMacroBox}{grSQCycle}{\oarg{local options}\var{Number}} + +\medskip +\emph{A star graph $S_n$ is a n-graph with one node having vertex degree $n-1$ and the other $n-1$ having vertex degree $1$. Star graphs can be generated using \tkzcname{grStar} in the \tkzname{tkz-berge.sty} package.} + +\medskip +External links : + +\medskip +\begin{itemize} +\item \href{http://mathworld.wolfram.com/SquareGraph.html}% + {\textcolor{blue}{MathWorld - SquareGraph}} by % + \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{Weisstein}} +\end{itemize} +\end{NewMacroBox} + +\subsubsection{Square Cycle graph} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=.8] + \grSQCycle[RA=7]{10}% +\end{tikzpicture} +\end{tkzexample} +\end{center} + +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––––––––––– WHEEL –––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newpage +\subsubsection{Wheel graph} + +\begin{NewMacroBox}{grWheel}{\oarg{local options}\var{Number}} + +\medskip +\emph{A wheel graph of order $n$ is a graph that contains a cycle of order $n-1$, and for which every vertex in the cycle is connected to one other vertex. The wheel can be defined as the graph , where is the singleton graph and is the cycle graph.} + +\medskip +External links : + +\medskip +\begin{itemize} +\item \href{http://mathworld.wolfram.com/WheelGraph.html}% + {\textcolor{blue}{MathWorld - WheelGraph}} by % + \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{Weisstein}} +\end{itemize} +\end{NewMacroBox} + +\tikzset{VertexStyle/.style = {shape = circle, + shading = ball, + ball color = orange!40,% + minimum size = 24pt,% + draw}} +\SetUpEdge[style={thick,% + double = orange,% + double distance = 1pt}] + +\SetVertexNoLabel +\tikzset{EdgeStyle/.style = {thick,double= orange,double distance = 1pt}} + +\vfill +\subsubsection{\tkzname{Wheel graph}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=.8] + \grWheel[RA=7]{13}% +\end{tikzpicture} +\end{tkzexample} +\end{center} + +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––––––––––– LADDER ––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newpage +\subsubsection{Ladder graph} + +\begin{NewMacroBox}{grLadder}{\oarg{local options}\var{Number}} + +\medskip +\begin{tabular}{llc} + \toprule +options & default & definition \\ +\midrule +\TOline{RA } { |4| } {radius circle n°1 } +\TOline{RS } { |0| } {distance between two lines } +\TOline{prefix } { |a| } {prefix for vertices } +\TOline{prefixx} { |b| } {prefix for vertices } +\TOline{Math } { |false|} {math mode } +\bottomrule +\end{tabular} + +\medskip +\emph{The ladder graph $L_n$ or cyclic ladder graph is equivalent to the grid graph having two rails and $n$ rungs between them.} + +\medskip +External links : + +\medskip +\begin{itemize} +\item \href{http://mathworld.wolfram.com/LadderGraph.html}% + {\textcolor{blue}{MathWorld - LadderGraph}} by % + \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{Weisstein}} +\end{itemize} +\end{NewMacroBox} + +\vfill +\subsubsection{\tkzname{Ladder graph}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \grLadder[RA=2,RS=4]{6}% +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––– Prism CYCLE LADDER –––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newpage +\subsubsection{Prism graph} + +\begin{NewMacroBox}{grPrism}{\oarg{local options}\var{Number}} + +\medskip +\begin{tabular}{llc} + \toprule +options & default & definition \\ +\midrule +\TOline{RA } { |4| } {radius circle n°1 } +\TOline{RB } { |3| } {radius circle n°2 } +\TOline{prefix } { |a| } {prefix for vertices } +\TOline{prefixx } { |b| } {prefix for vertices } +\TOline{Math } { |false|} {math mode } +\bottomrule +\end{tabular} + +\medskip +\emph{An $n$-prism graph has $2n$ nodes and $3n$ edges, and is equivalent to the generalized Petersen graph with arguments $n$ and $1$. For odd $n$, the $n$-prism is isomorphic to the circulant graph with an order $2n$ and with arguments $2$ and $n$.\\ +The 3-prism graph is the line graph of the complete bipartite graph with arguments $2$ and $3$ . The 4-prism graph is isomorphic with the cubical graph.} + + +\medskip +External links : + +\medskip +\begin{itemize} +\item \href{http://mathworld.wolfram.com/PrismGraph.html}% + {\textcolor{blue}{MathWorld - Prism Graph}} by % + \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{Weisstein}} +\end{itemize} +\end{NewMacroBox} + +\subsubsection{\tkzname{Cycle Ladder graph}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[rotate=15,scale=.7] + \grPrism[RA=6,RB=3]{6}% +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\subsubsection{\tkzname{Cycle Ladder graph number 3}} +\begin{center} +\begin{tkzexample}[] +\begin{tikzpicture}[scale=.7] + \grPrism[RA=6,RB=3]{3}% +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\subsubsection{\tkzname{Cycle Ladder graph number 4}} +\begin{center} +\begin{tkzexample}[] +\begin{tikzpicture}[scale=.7] + \grPrism[RA=6,RB=3]{4}% +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––– bipartite ––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newpage +\subsubsection{Complete Bipartite graph} + +\begin{NewMacroBox}{grCompleteBipartite}{\oarg{local options}\var{Number 1}\var{Number 2}} + +\medskip +\begin{tabular}{llc} + \toprule +options & default & definition \\ +\midrule +\TOline{RA }{|4| } {radius circle n°1} +\TOline{RB }{|3| } {radius circle n°2 } +\TOline{RS }{|1| } {distance between two lines } +\TOline{form }{|1| } {integer to obtain a new embedding of a graph} +\TOline{prefix }{|a| } {prefix for vertices } +\TOline{prefixx}{|b| } {prefix for vertices } +\TOline{Math }{|false| } {math mode } +\bottomrule +\end{tabular} + +\medskip +\emph{A complete bipartite graph is a bipartite graph (i.e., a set of graph vertices decomposed into two disjoint sets such that no two graph vertices within the same set are adjacent) such that every pair of graph vertices in the two sets are adjacent.} + +\medskip +External links : + +\medskip +\begin{itemize} +\item \href{http://mathworld.wolfram.com/CompleteBipartiteGraph.html}% + {\textcolor{blue}{MathWorld - CompleteBipartite Graph}} by % + \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{Weisstein}} +\end{itemize} +\end{NewMacroBox} + + + +\subsubsection{\tkzname{Bipartite graph 1,5}}\label{cl17} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \grCompleteBipartite[RA=4,RB=2.5,RS=4]{1}{5} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsubsection{\tkzname{Bipartite graph 3,5}}\label{bi1} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \grCompleteBipartite[RA=4,RB=3,RS=6]{3}{5} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newpage +\subsubsection{Triangular Grid graph} + + +\begin{NewMacroBox}{grTriangularGrid}{\oarg{local options}\var{Number}} + +\medskip +\begin{tabular}{llc} + \toprule +options & default & definition \\ +\bottomrule +\TOline{RA }{|4| }{distance between two vertices } +\TOline{form }{|1| }{integer to obtain a new embedding of a graph} +\TOline{prefix}{|a| }{prefix for vertices } +\TOline{Math }{|false|}{math mode } +\bottomrule +\end{tabular} + +\emph{\tkzname{Number=$n$} is the number of vertices of the first row then the graph order is $\dfrac{n(n-1)}{2} $. +There are three embeddings. You can use the option \tkzname{form} with an integer between $1$ and $3$.} +\end{NewMacroBox} + +\medskip + + +\subsubsection{\opt{n=8 order=$28$} form 1}\label{cl18a} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \SetVertexLabel + \grTriangularGrid[prefix=G,Math,RA=1.5]{8}% +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsubsection{\opt{n=6 order=$15$} form 2} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \SetVertexNoLabel + \grTriangularGrid[RA=2,form=2]{6}% +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\subsubsection{\opt{n=6 order=$15$} form 3} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \SetVertexNoLabel + \grTriangularGrid[RA=2,form=3]{6}% +\end{tikzpicture} +\end{tkzexample} +\end{center} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newpage +\subsubsection{\tkzname{LCF Lederberg-Coxeter-Fruchte}} + +\begin{NewMacroBox}{grLCF}{\oarg{RA=\meta{Number}} \var{List of numbers} \var{Number}} +\emph{LCF = Lederberg-Coxeter-Fruchte (see the link below for some examples).} + +\medskip +External links : + +\medskip +\begin{itemize} +\item \href{http://mathworld.wolfram.com/LCFNotation.html}% + {\textcolor{blue}{MathWorld-LCF Notation}} by % + \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{Weisstein}} +\end{itemize} +\end{NewMacroBox} + + +\subsubsection{\tkzname{$\big[2,-2\big]^2$}} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}% + \grLCF[RA=5]{2,-2}{2}% +\end{tikzpicture} +\end{tkzexample} +\end{center} + + + +\subsubsection{\tkzname{$\big[3,-3\big]^4$}} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}% + \grLCF[RA=5]{3,-3}{4}% +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsubsection{Ljubljana graph} +From Wikipedia \url{http://en.wikipedia.org/wiki/Ljubljana_graph} + +\emph{The Ljubljana graph was first published in 1993 by Brouwer, Dejter and Thomassen. +In 1972, Bouwer was already talking of a 112-vertices edge- but not vertex-transitive cubic graph found by R. M. Foster, but unpublished. Conder, Malnič, Marušič, Pisanski and Potočnik rediscovered this 112-vertices graph in 2002 and named it the Ljubljana graph after the capital of Slovenia. They proved that it was the unique 112-vertices edge- but not vertex-transitive cubic graph and therefore that was the graph found by Foster.} + +It can be represented in LCF notation as : + +\[ +\begin{array}{l} +\Big[ 47, -23, -31, 39, 25, -21, -31, -41, 25, 15, 29, -41, -19, 15, -49, 33, 39, -35, -21, 17,\\ -33, 49, 41, 31, -15, -29, 41, 31, -15, -25, 21, 31, -51, -25, 23, 9, -17, 51, 35, -29, 21,\\ -51, -39, 33, -9, -51, 51, -47, -33, 19, 51, -21,29, 21, -31, -39\Big]^2 +\end{array} +\] + + + \begin{center} +\begin{tikzpicture} +\GraphInit[vstyle=Art] +\SetGraphArtColor{black!50}{darkgray} +\tikzset{VertexStyle/.append style = { + minimum size = 3pt}} + \grLCF[RA=7]{47, -23, -31, 39, 25, -21, -31, -41, 25, 15, 29, -41, -19, 15, -49, 33, 39, -35, -21, 17, -33, 49, 41, 31, -15, -29, 41, 31, -15, -25, 21, 31, -51, -25, 23, 9, -17, 51, 35, -29, 21, -51, -39, 33, -9, -51, 51, -47, -33, 19, 51, -21, 29, 21, -31, -39}{2}% +\end{tikzpicture} +\end{center} + +\begin{tkzexample}[code only] +\GraphInit[vstyle=Art] +\SetGraphArtColor{black!50}{darkgray} +\tikzset{VertexStyle/.append style = { + minimum size = 3pt}} +\begin{tikzpicture}% + \grLCF[RA=7]{47, -23, -31, 39, 25, -21, -31, -41, 25, 15, 29, -41, -19, 15,% + -49, 33, 39, -35, -21, 17, -33, 49, 41, 31, -15, -29, 41, 31, -15, -25, 21,% + 31, -51, -25, 23, 9, -17, 51, 35, -29, 21, -51, -39, 33, -9, -51, 51, -47,% + -33, 19, 51, -21, 29, 21, -31, -39}{2}% +\end{tikzpicture} +\end{tkzexample} +\vfill +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/doc/latex/TKZdoc-berge-installation.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/doc/latex/TKZdoc-berge-installation.tex new file mode 100644 index 0000000000..4958c1702a --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/doc/latex/TKZdoc-berge-installation.tex @@ -0,0 +1,150 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-berge/doc-us/TKZdoc-berge-main.tex + +\section{Installation} +\subsection{How to install the package \texttt{\textcolor{red}{berge.sty}}} + + +It is possible that when you read this document, \tkzname{tkz-berge} is present on the \tkzname{CTAN}\footnote{\tkzname{tkz-berge} is not still a part of \tkzname{TeXLive} but it will be soon possible to install it with \tkzname{tlmgr}} servers. If \tkzname{tkz-berge} is not still a part of your distribution, this chapter shows you how to install it. + +\subsection{With TeXLive under OS X and Linux}\NameDist{TeXLive} + +You could simply create a folder (directory) \tikz[remember picture,baseline=(n1.base)]\node [fill=green!20,draw] (n1) {tkz}; which path is : \colorbox{blue!20}{ texmf/tex/latex/tkz}. + +\colorbox{blue!20}{texmf} is generally the personnal folder. For example the paths of this folder on my two computers are + +\medskip +\begin{itemize}\setlength{\itemsep}{10pt} +\item with OS X\NameSys{OS X} \colorbox{blue!20}{\textbf{/Users/ego/Library/texmf}}; +\item with Ubuntu\NameSys{Linux Ubuntu} \colorbox{blue!20}{\textbf{/home/ego/texmf}}. +\end{itemize} + +If you choose a custom location for your files, I suppose that you know why! +The installation that I propose, is valid only for one user. + + +\medskip +\begin{enumerate} +\item Store the files \tikz[remember picture,baseline=(n2.base)]\node [fill=green!20,draw] (n2) {tkz-arith.sty, tkz-graph.sty et tkz-berge.sty}; in the folder \colorbox{green!50}{prof}. Be careful to have the file \tkzname{tkz-tool-arith.tex}. This file is provided by \tkzname{tkz-base}. +\item Open a terminal, then type \colorbox{red!20}{|sudo texhash|} +\item Check that \tkzname{xkeyval}\index{xkeyval} version 2.5 or more, and \tkzname{Ti\emph{k}Z 2.1}\index{TikZ@Ti\emph{k}Z} are installed because they are obligatory.\\ + +\end{enumerate} + +\medskip +My folder texmf is structured as in the diagram below because I use the \tkzname{CVS}\footnote{You can find the cvs version here : \url{http://www.texample.net/tikz/builds/} without CVS\\ or here with CVS \url{http://sourceforge.net/projects/pgf/}} version of \TIKZ. You don't need all the \tkzname{pgf} folders. + +\medskip + +\vfill +\begin{tikzpicture} [remember picture,rotate=90] +% nodes +\node (texmf) at (4,2) [draw,fill=blue!20 ] {texmf}; + +\node (tex) at (6,0) [draw ] {tex}; +\node (doc) at (2,0) [draw ] {doc}; + +\node (texgen) at (7,-2) [draw ] {generic}; +\node (docgen) at (0,-2) [draw ] {generic}; + +\node (latex) at (4,-2) [draw ] {latex}; + +\node (genpgf) at (7,-4) [draw] {pgf}; +\node (latpgf) at (5,-4) [draw] {pgf}; +\node (tkz) at (4,-4) [draw,fill=green!20 ] {tkz}; + +\node (docpgf) at (0,-4) [draw] {pgf}; + +\node (tkb) at (6,-6) [draw,fill=orange!20] {tkzbase}; +\node (tke) at (2,-6) [draw,fill=orange!20] {tkzeuclide}; + +\node (tari) at (7,-11) [draw,fill=orange!20] {tkz-tools-arith.tex}; +\node (tary) at (5,-11) [draw,fill=green!20] {tkz-arith.sty}; +\node (tgra) at (4,-11) [draw,fill=green!20] {tkz-berge.sty}; +\node (tber) at (3,-11) [draw,fill=green!20] {tkz-graph.sty}; + +% edges +\draw[-open triangle 90](texmf.north east) -- (tex.south west) ; +\draw[-open triangle 90](texmf.south east) -- (doc.north west) ; + +\draw[-open triangle 90](tex.north east) -- (texgen.south west) ; +\draw[-open triangle 90](tex.south east) -- (latex.north west) ; +\draw[-open triangle 90](texgen.east) -- (genpgf.west) ; + +\draw[-open triangle 90](doc.south east) -- (docgen.north west) ; +\draw[-open triangle 90](docgen.east) -- (docpgf.west) ; + +\draw[-open triangle 90](latex.north east) -- (latpgf.south west) ; +\draw[-open triangle 90](latex.east) -- (tkz.west) ; + +\draw[-open triangle 90,orange!80](tkz.east) to [out=-90,in=90](tkb.west) ; +\draw[-open triangle 90,orange!80](tkz.east) to [out=-90,in=90](tke.west) ; +\draw[-open triangle 90,orange!80](tkb.east) to [out=-90,in=90](tari.west) ; +\draw[-open triangle 90,green!80](tkz.east) to [out=-90,in=90](tary.west) ; +\draw[-open triangle 90,green!80](tkz.east) to [out=-90,in=90](tgra.west) ; +\draw[-open triangle 90,green!80](tkz.east) to [out=-90,in=90](tber.west) ; + +\end{tikzpicture} + +\begin{tikzpicture}[remember picture,overlay] + \path[->,thin,green!80,>=latex] (n1) edge [bend left] (tkz); + \path[->,thin,green!80,>=latex] (n2) edge [bend left] (tgra); +\end{tikzpicture} + +\vfill +\newpage + +\subsection{How to work with the tkz-\LaTeX-package under Windows?} +\NameDist{MikTeX}\NameSys{Windows XP} +Download and install the following files (if not yet done): +\begin{enumerate} + + \item the \LaTeX-system MiKTeX from + + \url{http://www.miktex.org/}. + + What file you need (e.g. + \texttt{basic-miktex-2.7.2904.exe}) and how to install + this program is explained there in the "Download" + section of the respective version (current version is + 2.7). In general and as usual in windows, you run the + setup process by starting the setup file :\newline (e.g.\texttt{basic-miktex-2.7.2904.exe}). + + \item Till Tantau's \LaTeX-package \texttt{pgf-tikZ} from + + \url{http://sourceforge.net/projects/pgf/} + + "For MiKTeX, use the update wizard [of MiKTeX] to + install the (latest versions of the) packages called + \texttt{pgf}, \texttt{xcolor}, and \texttt{xkeyval}." + (cited from the pgf manual, contained in the files + downloaded). + \item the sty-files and the doc-files of Alain's tkz-package + from the CTAN servers or + + \url{http://www.altermundus.fr/pages/download.html}. + + or + + \url{http://altermundus.com/pages/downloads/index.html}. + + To add the files to MiKTeX: + + \begin{itemize} + \item add a directory \texttt{prof} in the + directory \colorbox{blue!30}{\texttt{[MiKTeX-dir]/tex/latex}}, + e.g. in windows explorer, + \item copy the sty-files in this directory + \texttt{tkz}, + \item update the MiKTeX system, ether by running + in a DOS shell the command\newline "\colorbox{red!30}{|mktexlsr -u|}" \newline or by clicking\newline + "\colorbox{red!30}{|Start/Programs/Miktex/Settings/General|}", then + push the button \colorbox{red!30}{|Refresh FNDB|}. + \end{itemize} + \end{enumerate} + +\subsection{The next version} + +Actually, the package uses \tkzname{xkeyval}, in the next version I will use \tkzname{pgfkeys}. It's possible that the syntax should be modified. My first idea is to keep \tkzname{tkz-graph} and to create a new name for the next version like \tkzname{tkz-graph-x}. + +Some of the main macros used in the file \tkzname{tkz-tool-arith.tex} are now in the CVS version of PGF. With the next version of PGF, it would be possible to remove the file \tkzname{tkz-tool-arith.tex}. +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/doc/latex/TKZdoc-berge-macros-e.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/doc/latex/TKZdoc-berge-macros-e.tex new file mode 100644 index 0000000000..1b58c45fa1 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/doc/latex/TKZdoc-berge-macros-e.tex @@ -0,0 +1,459 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-berge/doc-us/TKZdoc-berge-main.tex + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\section{Macros and Edges in a graph} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\subsection{Edge in a graph from one vertex \tkzcname{EdgeInGraphFromOneToComp}} + +\begin{NewMacroBox}{EdgeInGraphFromOneToComp}{\oarg{local options}\var{prefix}\var{order}\var{from}} + +\begin{tabular}{llc} +\hline +Arguments & & Definition \\ +\midrule +\TAline{order} {}{order of the graph} +\bottomrule +\end{tabular} + +\medskip +\begin{tabular}{llc} +\midrule +options & default & definition \\ +\midrule +\TOline{RA} {4} { radius circle} +\TOline{prefix} {a} {prefix for vertices } +\TOline{Math} {false} {math mode } +\bottomrule +\end{tabular} + +\medskip +\emph{This macro works on an unique graph. |from| is integer. |EdgeInGraph| designs a macro that works only in a graph defined by a prefix. The result is some edges between the vertex |from| and the others vertices. } +\end{NewMacroBox} + + + + + +\subsubsection{Empty Cycle} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grEmptyCycle[RA=4,prefix=a]{8}% + \EdgeInGraphFromOneToComp{a}{8}{3} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill +\newpage +\subsection{Edges in a graph - a loop \tkzcname{EdgeInGraphLoop}}% +\begin{NewMacroBox}{EdgeInGraphLoop}{\var{prefix}\var{order}} +\emph{This macro is useful with vertices on a circle . |order| in an integer.} +\end{NewMacroBox} + + +\subsubsection{Empty Cycle} +\begin{center} + \begin{tkzexample}[very small] + \begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grEmptyCycle[RA=2,prefix=a]{8}% + \EdgeInGraphLoop{a}{8} + \end{tikzpicture}\end{tkzexample} +\end{center} + +\subsubsection{Empty Cycle} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture}[node distance=4cm] + \GraphInit[vstyle=Shade] + \Vertices{square}{a0,a1,a2,a3} + \EdgeInGraphLoop{a}{4} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\newpage +\subsection{Edges in a graph - a loop \tkzcname{EdgeInGraphLoop*}} +\begin{NewMacroBox}{EdgeInGraphLoop*}{\var{prefix}\var{order}} + +\medskip +\emph{Not exactly a loop, there is no edge between the first and the last vertex.} +\end{NewMacroBox} + +\subsubsection{Empty Cycle} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grEmptyCycle[RA=4,prefix=a]{8}% + \EdgeInGraphLoop*{a}{8} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsubsection{Empty Path} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \grEmptyPath[prefix=h,RA=2,RS=2]{6} + \EdgeInGraphLoop*{h}{6} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill +\newpage +\subsection{Sequence of edges in a graph \tkzcname{EdgeInGraphSeq}} +\begin{NewMacroBox}{EdgeInGraphSeq}{\var{prefix}\var{start}\var{end}} + +\medskip +\emph{This macro gives a sequence of edges between |start| and |end|.\\ +|start| and |end| are two integers. } +\end{NewMacroBox} + +\subsubsection{EdgeInGraphSeq} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grEmptyCycle[RA=2,prefix=a]{8}% + \EdgeInGraphSeq{a}{2}{5} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\newpage +\subsection{Edges in a graph \tkzcname{EdgeInGraphMod}} +\begin{NewMacroBox}{EdgeInGraphMod}{\var{prefix}\var{order}\var{add}} + +\medskip +\emph{This macro works on an unique graph. Edges between $v_i$ and $v_j$ with $i$ in $0,...,(\text{\#2}-1)$ and $j=\text{Mod(i+\#3,\#2)}$.\\ +\#2 = |order| and \#3 = |add|.\\ +|Mod| is like |mod| but the result is a positive integer. } +\end{NewMacroBox} + +\subsubsection{EdgeInGraphMod} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grEmptyCycle[RA=2,prefix=a]{8}% + \EdgeInGraphMod{a}{8}{2} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsubsection{EdgeInGraphMod 2} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grEmptyCycle[RA=3,prefix=a]{13}% + \EdgeInGraphMod{a}{13}{3} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\newpage +\subsection{Edges in a graph \tkzcname{EdgeInGraphMod*}} +\begin{NewMacroBox}{EdgeInGraphMod*}{\var{prefix}\var{order}\var{add}\var{start}\var{step}} + +\medskip +\emph{Edges between $v_i$ and $v_j$ with $i$ in $\#4,\#4+\#5,...,(\text{\#2}-1)$ and $j=\text{Mod(i+\#3,\#2)}$}\\ +\#2 = |order|, \#3 = |add|, \#4 = |start|, \#5 = |step|.\\ +\end{NewMacroBox} + +\subsubsection{EdgeInGraphMod*} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grEmptyCycle[prefix=a]{17}% + \EdgeInGraphMod*{a}{17}{5}{1}{2} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\newpage +\subsection{Edges in a graph \tkzcname{EdgeInGraphModLoop}} +\begin{NewMacroBox}{EdgeInGraphModLoop}{\var{prefix}\var{order}\var{add}\var{start}} + +\medskip +\emph{ |order|, |add| and |start| are integers.\\ +Edges between $v_i$ and $v_j$ with $i$ from $\#4$, $j=\text{Mod(i+\#3,\#2)}$ and then $i=j$ until $j=\#4$\\ +\#2 = |order|, \#3 = |add| and \#4 = |start|.} +\end{NewMacroBox} + +\subsubsection{EdgeInGraphModLoop} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grEmptyCycle[RA=4]{7} + \EdgeInGraphModLoop{a}{7}{2}{1} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsubsection{EdgeInGraphModLoop} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grEmptyCycle[RA=4]{8} + \EdgeInGraphModLoop{a}{8}{2}{1} +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\newpage +\subsection{Edges between two graphs with the same order \tkzcname{EdgeIdentity}} + +\begin{NewMacroBox}{EdgeIdentity}{\var{prefix1}\var{prefix2}\var{order}} + +\medskip +\emph{|order| is an integer. This macro gives edges between two graphs.\\ +Edges between $v_i$ and $v_j$ with $i=j$ in $0,...,(\text{\#3}-1)$.\\ +\#3 = |order|.\\} +\end{NewMacroBox} + +\subsubsection{EdgeIdentity} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grEmptyCycle[prefix=v,RA=3]{5} + \grEmptyCycle[prefix=w,RA=1]{5} + \EdgeIdentity{v}{w}{5} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill +\newpage +\subsection{Edges between two graphs with the same order \tkzcname{EdgeIdentity*}} + +\begin{NewMacroBox}{EdgeIdentity*}{\var{prefix1}\var{prefix2}\var{list}} + +\medskip +\emph{|list| is a list of integers. This macro gives edges between two graphs.\\ +Edges between $v_i$ and $v_j$ with $i=j$ in |list|.\\} + +\end{NewMacroBox} + +\subsubsection{EdgeIdentity*} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \begin{scope}[rotate=30] + \grEmptyCycle[RA=3,prefix=a]{5}% + \end{scope} + \grEmptyCycle[RA=5,prefix=b]{5}% + \EdgeIdentity*{a}{b}{0,...,4} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsubsection{EdgeIdentity*} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \begin{scope}[rotate=30] + \grEmptyCycle[RA=3,prefix=a]{5}% + \end{scope} + \grEmptyCycle[RA=5,prefix=b]{5}% + \EdgeIdentity*{a}{b}{0,2,4} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\newpage +\subsection{Edges between two graphs \tkzcname{EdgeFromOneToAll}} +\begin{NewMacroBox}{EdgeFromOneToAll}{\var{prefix1}\var{prefix2}\var{from}\var{order}} + +\medskip +\emph{The graphs must to have the same order. |from| and |order| are integers.} +\end{NewMacroBox} + +\subsubsection{EdgeFromOneToAll} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grPath[form=1,RA=2,RS=0]{5} + \grPath[form=1,prefix=b,RA=2,RS=4]{5} + \EdgeFromOneToAll{a}{b}{1}{5} +\end{tikzpicture}\end{tkzexample} +\end{center} + +\newpage +\subsection{Edges between two graphs \tkzcname{EdgeFromOneToSeq}} +\begin{NewMacroBox}{EdgeFromOneToSeq}{\var{prefix1}\var{prefix2}\var{from}\var{start}\var{end}} + +\medskip +\emph{|from|, |start| and |end| are integers. This macro builds edges between the vertex with an indice |from| through the vertices with an indice in the sequence |start|,...,|end|.} +\end{NewMacroBox} + +\subsubsection{EdgeFromOneToSeq} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grPath[form=1,RA=2,RS=0]{5} + \grPath[form=1,prefix=b,RA=2,RS=4]{5} + \EdgeFromOneToSeq{a}{b}{1}{2}{4} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\newpage +\subsection{Edges between two graphs \tkzcname{EdgeFromOneToSel}} +\begin{NewMacroBox}{EdgeFromOneToSel}{\var{prefix1}\var{prefix2}\var{from}\var{list}} + +\medskip +\emph{This macro builds edges between the vertex with an indice |from| through the vertices with an indice in the list |list|.} +\end{NewMacroBox} + + +\subsubsection{EdgeFromOneToSel} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grPath[form=1,RA=2]{5} + \grPath[form=1,prefix=b,RA=2,RS=4]{5} + \EdgeFromOneToSel{a}{b}{1}{0,2,4} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\newpage +\subsection{Edges between two graphs \tkzcname{EdgeFromOneToComp}} +\begin{NewMacroBox}{EdgeFromOneToComp}{\var{prefix1}\var{prefix2}\var{from}\var{order2}} + +\medskip +\emph{This macro builds edges between the vertex with an indice |from| through all the vertices of the second graph, except the vertex with an indice |from|.} +\end{NewMacroBox} + +\subsubsection{EdgeFromOneToComp} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grPath[form=1,RA=2,RS=0]{5} + \grPath[form=1,prefix=b,RA=2,RS=4]{5} + \EdgeFromOneToComp{a}{b}{2}{3} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\newpage +\subsection{Edges between two graphs \tkzcname{EdgeMod}}% +\begin{NewMacroBox}{EdgeMod}{\var{prefix1}\var{prefix2}\var{order}\var{step}} + +\medskip +\emph{This macro works on two graphs with the same order. We get edges between $v_i$ and $v_j$ with $i$ in $0,...,(\text{\#2}-1)$ and $j=\text{Mod(i+\#4,\#3)}$.\\ +\#3 = |order| and \#4 = |step|.} +\end{NewMacroBox} + +\subsubsection{EdgeMod} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grEmptyCycle[prefix=a,RA=6]{9} + \grEmptyCycle[prefix=b,RA=3]{9} + \EdgeMod{a}{b}{9}{1} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\newpage +\subsection{Edges between two graphs \tkzcname{EdgeMod*}}% +\begin{NewMacroBox}{EdgeMod*}{\var{prefix1}\var{prefix2}\var{order}\var{step1}\var{step2}} + +\medskip +\emph{This macro works on two graphs with the same order. We get edges between $v_i$ and $v_j$ with $i$ in $0,...,(\text{\#3}-1)$ with a step $\text{\#5}$ and $j=\text{Mod(i+\#4,\#3)}$.\\ +\#3 = |order| , \#4 = |step1| and \#5 = |step2|.} +\end{NewMacroBox} + + +\subsubsection{\tkzcname{EdgeMod*} }%with |step1|=1 and |step2|=2 +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grEmptyCycle[prefix=a,RA=6]{8} + \grEmptyCycle[prefix=b,RA=4]{8} + \EdgeMod*{a}{b}{8}{1}{2} +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\subsubsection{EdgeMod* }%with |step1|=2 and |step2|=1 +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grEmptyCycle[prefix=a,RA=6]{8} + \grEmptyCycle[prefix=b,RA=2]{8} + \EdgeMod*{a}{b}{8}{1}{1} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\newpage +\subsection{Edges between two graphs \tkzcname{EdgeDoubleMod}}% +\begin{NewMacroBox}{EdgeDoubleMod}{\var{prefix1}\var{nb}\var{nb}\var{nb}\var{prefix2}\var{nb}\var{nb}\var{nb}\var{end}} + +For the first node, the numbers are : +\var{order1}\var{start1}\var{add1} + +\medskip +For the second node, the numbers are : +\var{order2}\var{start2}\var{add2}\var{end} + +\medskip +\emph{Edges between $v_i$ and $v_j$ with $i=\text{Mod(\#3+(\#4*k),\#2)}$ and j=$\text{Mod(\#7+(\#8*k),\#6)}$ $k$ is an integer from $0$ to |end|.\\ +\#2 = |order1|, \#3 = |start1| and \#4 = |add1|.\\ +\#6 = |order2|, \#7 = |start2| and \#8 = |add2|.} +\end{NewMacroBox} + + +\subsubsection{EdgeDoubleMod} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \begin{scope}[rotate=-90] + \grEmptyCycle[RA=2,prefix=a]{5}{2} + \end{scope} + \begin{scope}[rotate=-18] + \grEmptyCycle[RA=4,prefix=b]{5}{2} + \end{scope} + \EdgeDoubleMod{b}{5}{0}{1}% + {a}{5}{2}{1}{5} +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\subsubsection{EdgeDoubleMod with two graphs and different orders} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grEmptyCycle[prefix=a,RA=5]{10} + \grEmptyCycle[prefix=b,RA=7]{20} + \EdgeDoubleMod{a}{10}{0}{1}% + {b}{20}{0}{2}{10} +\end{tikzpicture} +\end{tkzexample} +\end{center} +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/doc/latex/TKZdoc-berge-macros.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/doc/latex/TKZdoc-berge-macros.tex new file mode 100644 index 0000000000..c292111e42 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/doc/latex/TKZdoc-berge-macros.tex @@ -0,0 +1,327 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-berge/doc-us/TKZdoc-berge-main.tex +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\section{Macros and Vertices} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\subsection{\tkzcname{grEmptyCycle}} + +\begin{NewMacroBox}{grEmptyCycle}{\oarg{local options}\var{order}} +\begin{tabular}{llc} +Arguments & & Definition \\ +\midrule +\TAline{order} {}{order of the graph} +\bottomrule +\end{tabular} + +\medskip +\begin{tabular}{llc} + +Options & default & definition \\ +\midrule +\TOline{RA} {4} { radius circle} +\TOline{prefix} {a} {prefix for vertices } +\TOline{Math} {false} {math mode } +\bottomrule +\end{tabular} + +\medskip +\emph{The number of nodes in a graph is called its order. The argument "order" is an integer superior to $1$. |RA| defines the radius of the circle.} +\end{NewMacroBox} + + +\bigskip +\subsubsection{Empty Cycle} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grEmptyCycle[RA=1.5]{3} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsubsection{Empty Cycle and \tkzcname{SetVertexNoLabel}} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \SetVertexNoLabel + \GraphInit[vstyle=Shade] + \grEmptyCycle[RA=1.5]{2} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsubsection{Empty Cycle and \tkzname{Math}} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \grEmptyCycle[Math,RA=1.5]{4} +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\subsubsection{Empty Cycle, \tkzcname{SetVertexMath} and \tkzname{prefix}} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \SetVertexMath + \GraphInit[vstyle=Shade] + \grEmptyCycle[prefix=N,RA=1.5]{5} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsubsection{Empty Cycle and Classic style} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \SetVertexMath + \GraphInit[vstyle=Classic] + \grEmptyCycle[RA=1.5]{5} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsubsection{Empty Cycle and Simple style} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \GraphInit[vstyle=Simple] + \grEmptyCycle[RA=1.5]{5} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\newpage +\subsection{\tkzcname{grEmptyPath}} +\begin{NewMacroBox}{grEmptyPath}{\oarg{local options}\var{order}} +\begin{tabular}{llc} +\hline +Arguments & & Definition \\ +\midrule +\TAline{order} {}{order of the graph} +\bottomrule +\end{tabular} + +\medskip +\begin{tabular}{>{\color{green!50!black}}lllc} + \toprule +options & default & definition \\ +\midrule +\TOline{RA} {4 cm}{ distance between two vertices} +\TOline{RS} {? cm}{ distance between the first line and the new one} \\ +\TOline{prefix} {a} {prefix for vertices } +\TOline{Math} {false} {math mode } +\bottomrule +\end{tabular} + +\medskip +\emph{|Order| is the number of nodes. |RA| defines the radius of the circle. |RS| defines the distance between the graph and the baseline.} + +\end{NewMacroBox} + +\bigskip +\tikzset{VertexStyle/.style = {shape = circle,% + shading = ball,% + ball color = green!30, + minimum size = 24pt, + draw}} +\tikzset{EdgeStyle= {color=red!30, + double= green!50!black, + double distance = 2pt}} +\SetVertexLabel +\SetVertexMath +\subsubsection{Empty Path, \tkzname{RA} and \tkzname{Math}} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \grEmptyPath[Math,RA=2]{5} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsubsection{Empty Path, \tkzname{RA} and \tkzname{prefix}} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \grEmptyPath[prefix=h,RA=2]{6} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsubsection{Empty Path, vertical path with \tkzname{form=2}} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \grEmptyPath[form=2,prefix=v,RA=2]{3} +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\subsubsection{Two Empty Paths} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \grEmptyPath[Math,prefix=p,RA=2,RS=0]{5} + \grEmptyPath[Math,prefix=q,RA=2,RS=3]{5} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \grEmptyPath[Math,prefix=p,RA=2,RS=0,form=2]{5} + \grEmptyPath[Math,prefix=q,RA=2,RS=4,form=2]{5} +\end{tikzpicture} +\end{tkzexample} + \end{center} + +\subsubsection{How to move a graph ?} + \GraphInit[vstyle=Shade] + \SetGraphShadeColor{blue!60!black!30}{blue}{white} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \grPath[Math,prefix=u,RA=2,RS=0]{4} + \grPath[Math,prefix=v,RA=2,RS=3]{4} + \begin{scope}[xshift=1 cm] + \grPath[Math,prefix=t,RA=2,RS=5]{4} + \end{scope} + \begin{scope}[shift={(4 cm,8cm)}] + \grPath[Math,prefix=x,RA=2,RS=0]{4} + \end{scope} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\newpage +\subsection{Empty Star} +\begin{NewMacroBox}{grEmptyStar}{\oarg{local options}\var{order}} +\begin{tabular}{llc} + \toprule +Arguments & & Definition \\ +\midrule +\TAline{order} {}{order of the graph} +\bottomrule +\end{tabular} + +\medskip +\begin{tabular}{>{\color{green!50!black}}lllc} + \toprule +options & default & definition \\ +\midrule +\TOline{RA} {4 cm}{ radius circle} +\TOline{prefix} {a} {prefix for vertices } +\TOline{Math} {false} {math mode } +\bottomrule +\end{tabular} + +\medskip +\emph{|RA| defines the radius of the circle. |order| is an integer and it's the order of the graph.} +\end{NewMacroBox} + +\bigskip +\subsubsection{Empty Star} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \SetVertexMath + \grEmptyStar[prefix=s,RA=3]{6} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\newpage +\subsection{Empty Grid} +\begin{NewMacroBox}{grEmptyGrid}{\oarg{local options}\var{c}\var{r}} +\begin{tabular}{llc} + \toprule +Arguments & & Definition \\ +\midrule +\TAline{r} {}{number of rows} +\TAline{c} {} {number of columns} +\bottomrule +\end{tabular} + +\medskip +\begin{tabular}{llc} + \toprule +options & default & definition \\ +\midrule +\TOline{RA} {4 cm}{ distance between two columns } +\TOline{RB} {3 cm} {distance between two rows } +\TOline{prefix} {3 cm} {distance between two rows } +\TOline{Math} {false} {math mode } +\bottomrule +\end{tabular} + +\medskip +\emph{|c| and |r| are integers.} + +\end{NewMacroBox} + + \bigskip +\subsubsection{Prefix} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \tikzset{VertexStyle/.style ={shape = circle, + shading = ball, + ball color = Blue!60,% + minimum size = 24pt,% + draw}} + \SetVertexMath + \grEmptyGrid[prefix=G,RA=2,RB=4]{5}{3} +\end{tikzpicture}\end{tkzexample} +\end{center} + +\newpage +\subsection{Empty Ladder} +\begin{NewMacroBox}{grEmptyLadder}{\oarg{local options}\var{c}} +\begin{tabular}{llc} + \toprule +Arguments & & Definition \\ +\midrule +\TAline{c} {}{number of columns.} +\bottomrule +\end{tabular} + +\medskip +\begin{tabular}{llc} +options & default & definition \\ + \midrule +\TOline{RA} {4 cm}{ distance between two columns } +\TOline{RB} {3 cm}{ distance between two rows } +\TOline{prefix} {a} {prefix for vertices } +\TOline{prefix} {b} {prefix for vertices } +\TOline{Math} {false} {math mode } +\bottomrule +\end{tabular} + +\medskip + \emph{ |c| is an integer. There are only two rows with different prefix.} +\end{NewMacroBox} + +\bigskip +\subsubsection{Empty Ladder} +\begin{center} +\begin{tkzexample}[very small] +\begin{tikzpicture} + \tikzset{VertexStyle/.style ={shape = diamond, + shading = ball, + ball color = yellow!60,% + minimum size = 24pt,% + draw}} + \SetVertexMath + \grEmptyLadder[RA=2,RB=4]{5} +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\endinput + + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/doc/latex/TKZdoc-berge-main.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/doc/latex/TKZdoc-berge-main.tex new file mode 100644 index 0000000000..6b14d2f2a9 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/doc/latex/TKZdoc-berge-main.tex @@ -0,0 +1,246 @@ +% $Id$ +% encoding : utf8 +% tkz-berge.tex +% Created by Alain Matthes on 2008-01-19. +% Copyright (C) 2009 Alain Matthes +% +% This file may be distributed and/or modified +% +% 1. under the LaTeX Project Public License , either version 1.3 +% of this license or (at your option) any later version and/or +% 2. under the GNU Public License. +% +% See the file doc/generic/pgf/licenses/LICENSE for more details.% +% See http://www.latex-project.org/lppl.txt for details. +% +% +% ``tkzdoc-berge-us'' is the english doc of tkz-berge +% +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% % +% tkz-berge.sty encodage : utf8 % +% % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% % +% Créé par Alain Matthes le 19/02/2007 % +% Copyright (c) 2006 __Collège Sévigné__ All rights reserved. % +% version : 2.7 c % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Fichier .tex de présentation du package tkz-graph.sty +% d'après le code de DTK. + +\documentclass[DIV=15,fontsize=10,headinclude=false,index=totoc, +footinclude=false,headings=small]{tkz-doc} + +\gdef\nameofpack{tkz-berge.sty} +\gdef\versionofpack{v 1.00 c} +\gdef\dateofpack{2011/05/25} +\gdef\nameofdoc{doctkz-berge} +\gdef\dateofdoc{2011/05/25} +\gdef\authorofpack{Alain Matthes} +\gdef\adressofauthor{} +\gdef\namecollection{AlterMundus} +\gdef\urlauthor{http://altermundus.fr} +\gdef\urlauthorcom{http://altermundus.com} + +\usepackage[pdftex, + unicode, + colorlinks = true, + pdfpagelabels, + urlcolor = blue, + filecolor = pdffilecolor, + linkcolor = blue, + breaklinks = false, + hyperfootnotes= false, + bookmarks = false, + bookmarksopen = false, + linktocpage = true, + pdfsubject ={Graph theory}, + pdfauthor ={Alain Matthes}, + pdftitle ={tkz-euclide}, + pdfkeywords ={graph,Berge,Petersen,cyclic,complete,circulant}, + pdfcreator ={pdfeTeX} + ]{hyperref} + +\usepackage{url} +\def\UrlFont{\small\ttfamily} + +\usepackage[protrusion = true, + expansion, + final, + verbose = false]{microtype} + +\DisableLigatures{encoding = T1, family = tt*} + +\usepackage{fancybox} +\usepackage{amsmath,amssymb,stmaryrd,calc,multicol} +\usepackage{tkz-berge} +\usepackage[english]{babel} +\usepackage[autolanguage]{numprint} + + +\usepackage{verbdef} + +%\usepackage[weather]{ifsym} + + + +\pdfcompresslevel=9 +\pdfinfo{ + /Title (tkzdoc-berge.pdf) + /Creator (TeX) + /Producer (pdfeTeX) + /Author (Alain Matthes) + /CreationDate (28 février 2011) + /Subject (Documentation du package tkz-berge.sty v 1.00 c) + /Keywords (pdfeTeX, graph, pdflatex) } + +\title{The package : tkz-berge.sty} +\author{Alain Matthes} + +\usepackage{shortvrb} +\AtBeginDocument{\MakeShortVerb{\|}} + +\usepackage{tkzexample} +\usepackage[format=hang,margin=10pt]{caption} + +\begin{document} +\parindent=0pt + +\title{\nameofpack} +\date{\today} +\clearpage +\thispagestyle{empty} +\maketitle + +\clearpage +\tkzSetUpColors[background=fondpaille,text=Maroon] +\colorlet{textcodecolor}{Maroon} +\pagecolor{fondpaille} +\color{Maroon} +\colorlet{graphicbackground}{fondpaille} +\colorlet{codebackground}{Peach!30} +\colorlet{codeonlybackground}{Peach!30} + +\nameoffile{\nameofpack} +\defoffile{The package \textcolor{red}{tkz-berge.sty} is a collection of some useful macros if you want to draw some classic graphs of the graph theory or to make others graphs. The kind of graphs that I will present, are sometimes called combinatorial graphs to distinguish them from the graphs of functions. Often, the word graph is short for graph of a function. A combinatorial graph is a very simple structure, a bunch of dots, some of which are connected by lines. Some of graphs have names, sometimes inspired by the graph's topology, and sometimes after their discoverer.\hfil\break +Why tkz-berge.sty ?\hfil\break +Claude Berge (1926 – 2002) was a French mathematician, recognized as one of the modern founders of combinatorics and graph theory. He played a major role in the renaissance of combinatorics and he is remembered for his famous conjecture on perfect graphs, solved some months after his death.} + +\presentation + +\vfill +\lefthand\ Firstly, I would like to thank \textbf{Till Tantau} for the beautiful LATEX package, namely TikZ. + +\lefthand I am grateful to \textbf{Michel Bovani} for providing the \tkzname{fourier} font. + +\lefthand\ I received much valuable advice and guidance on Graph Theory from \textbf{Rafael Villarroel}\\ \url{http://graphtheoryinlatex.blogspot.com/}. + +\lefthand\ The names of graphs can be found here \href{http://mathworld.wolfram.com/topics/SimpleGraphs.html}% + {\textcolor{blue}{MathWorld - SimpleGraphs}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}% + {\textcolor{blue}{E.Weisstein}} + + +\vspace{1cm} +Please report typos or any other comments to this documentation to \href{mailto:al.ma@mac.com}{\textcolor{blue}{Alain Matthes}} +This file can be redistributed and/or modified under the terms of the LATEX +Project Public License Distributed from CTAN archives in directory \url{CTAN:// +macros/latex/base/lppl.txt}. + + + \clearpage + \tableofcontents + \clearpage + + +\newpage +List of the main macros : + +\medskip + +\begin{multicols}{2} + \begin{itemize} + \item \tkzcname{grEmptyCycle} + \item \tkzcname{grEmptyPath} + \item \tkzcname{grEmptyStar} + \item \tkzcname{grEmptyGrid} + \item \tkzcname{grEmptyLadder} + \item \tkzcname{EdgeInGraphFromOneToComp} + \item \tkzcname{EdgeInGraphLoop} + \item \tkzcname{EdgeInGraphSeq} + \item \tkzcname{EdgeInGraphMod} + \item \tkzcname{EdgeInGraphMod*} + \item \tkzcname{grCompleteBipartite} + \item \tkzcname{EdgeInGraphModLoop} + \item \tkzcname{EdgeIdentity} + \item \tkzcname{EdgeIdentity*} + \item \tkzcname{EdgeFromOneToAll} + \item \tkzcname{EdgeFromOneToSeq} + \item \tkzcname{EdgeFromOneToSel} + \item \tkzcname{EdgeFromOneToComp} + \item \tkzcname{EdgeMod} + \item \tkzcname{EdgeMod*} + \item \tkzcname{EdgeDoubleMod} + \item \tkzcname{grPath} + \item \tkzcname{grCycle} + \item \tkzcname{grComplete} + \item \tkzcname{grCirculant} + \item \tkzcname{grStar} + \item \tkzcname{grSQCycle} + \item \tkzcname{grWheel} + \item \tkzcname{grLadder} + \item \tkzcname{grPrism} + \item \tkzcname{grCompleteBipartite} + \item \tkzcname{grTriangularGrid} + \item \tkzcname{grLCF} + \item \tkzcname{grWriteExplicitLabels} + \item \tkzcname{grWriteExplicitLabel} + \item \tkzcname{AssignVertexLabel} + \end{itemize} +\end{multicols} + + +See the document "NamedGraph" for all the classic named graphs that you can draw with the package \textcolor{red}{tkz-berge.sty}. +\tkzSetUpColors[background=fondpaille,text=Maroon] +\include{TKZdoc-berge-installation} +\include{TKZdoc-berge-macros} +\include{TKZdoc-berge-macros-e} +\include{TKZdoc-berge-classic} +\include{TKZdoc-berge-style} + +\printindex + +\end{document} + +\item \tkzcname{grHeawood} +\item \tkzcname{grGeneralizedPetersen} +\item \tkzcname{grPetersen} +\item \tkzcname{grTetrahedral} +\item \tkzcname{grOctahedral} +\item \tkzcname{grCubicalGraph} +\item \tkzcname{grIcosahedral} +\item \tkzcname{grDodecahedral} +\item \tkzcname{grMobiusKantor} +\item \tkzcname{grMobiusLadder} +\item \tkzcname{grCocktailParty} +\item \tkzcname{grCrown} +\item \tkzcname{grMcGee} +\item \tkzcname{grRobertson} +\item \tkzcname{grRobertsonWegner} +\item \tkzcname{grDoyle} +\item \tkzcname{grDesargues} +\item \tkzcname{grKonisberg} +\item \tkzcname{grWong} +\item \tkzcname{grTutteCoxeter} +\item \tkzcname{grFoster} +\item \tkzcname{grFolkman} +\item \tkzcname{grFranklin} +\item \tkzcname{grAndrasfai} +\item \tkzcname{grGrotzsch} +\item \tkzcname{grLevi} +\item \tkzcname{grPappus} +\item \tkzcname{grChvatal} +\item \tkzcname{grBalaban} + +
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/doc/latex/TKZdoc-berge-style.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/doc/latex/TKZdoc-berge-style.tex new file mode 100644 index 0000000000..2029178980 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/doc/latex/TKZdoc-berge-style.tex @@ -0,0 +1,59 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-berge/doc-us/TKZdoc-berge-main.tex +\section{Macros and Styles} + +\subsection{How to change the background color and text color} + +You can use the following macro : + +\begin{NewMacroBox}{tkzSetUpColors}{\oarg{local options}} + +\begin{tabular}{llc} + Options & default & definition \\ +\midrule +\TOline{background} {white} {couleur du fond } +\TOline{text} {black} {couleur du texte } +\end{tabular} +\end{NewMacroBox} + + + + +\subsection{Modification of labels \tkzcname{AssignVertexLabel}} + +\begin{NewMacroBox}{AssignVertexLabel}{\oarg{local options}\var{prefix}\var{List of names}} +\begin{tabular}{lll} + Arguments & & example \\ +\midrule +\TAline{prefix} {} {\tkzcname{AssignVertexLabel\{a\}\{Alter\}}} +\TAline{List of names} {} {\tkzcname{AssignVertexLabel\{a\}\{Paris,Lyon\}}} +\bottomrule +\end{tabular} + +\medskip +\begin{tabular}{llc} + Options & default & definition \\ +\midrule +\TOline{size} {\tkzcname{normalsize}} {taille de la fonte } +\TOline{color} {black} {couleur du texte } +\TOline{Math} {false} {math mode } +\end{tabular} +\end{NewMacroBox} + +\medskip +\subsubsection{AssignStyle and \tkzcname{AssignVertexLabel}} +First step : We create an empty graph without labels. + +Second step : We place labels with the macro \tkzcname{AssignVertexLabel} \begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \SetVertexNoLabel + \grCycle{6} + \tikzset{AssignStyle/.append style = {below=12pt}} + \AssignVertexLabel[color = blue,% + size = \footnotesize]{a}{% + Paris,Lyon,Marseille,Bordeaux,Reims,Saint-Etienne} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/doc/latex/TKZdoc-gr-installation.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/doc/latex/TKZdoc-gr-installation.tex new file mode 100644 index 0000000000..93224a0f42 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/doc/latex/TKZdoc-gr-installation.tex @@ -0,0 +1,91 @@ +\chap{Installation}\label{ins} + +You could simply create a folder (directory) \tikz[remember picture,baseline=(n1.base)]\node [fill=green!50,draw] (n1) {prof}; which path is : \colorbox{red!50}{ texmf/tex/latex/prof}. \colorbox{green!50}{texmf} is generally the personnal folder, here ways of this folder on my two computers: + +\medskip +\begin{itemize}\setlength{\itemsep}{10pt} +\item with OS X \colorbox{blue!30}{\textbf{/Users/ego/Library/texmf}}; +\item with Ubuntu \colorbox{blue!30}{\textbf{/home/ego/texmf}}. +\end{itemize} + +If you choose a custom location for your files, I suppose that you know why! +The installation that I propose, is valid only for one user. + +\medskip +\begin{enumerate} +\item Store the files \tikz[remember picture,baseline=(n2.base)]\node [fill=green!50,draw] (n2) {tkz-arith.sty, tkz-graph.sty and tkz-berge.sty}; in the folder \colorbox{green!50}{prof}. +\item Open a terminal, then type \colorbox{red!50}{|sudo texhash|} + +\medskip +\begin{figure}[htbp] + \begin{center} + \includegraphics[scale=.5]{term.pdf} + \end{center} +\end{figure} + +\item Check that \textcolor{red}{xkeyval, ifthen and tikz 2.0} are installed because they are obligatory. +\end{enumerate} + +My folder texmf is structured as in the diagram below: + +\medskip +\begin{tikzpicture} [remember picture,rotate=90] + +\node (texmf) at (4,2) [draw,fill=blue!30 ] {texmf}; +\node (tex) at (6,0) [draw ] {tex}; +\node (doc) at (0,0) [draw ] {doc}; +\node (generic) at (7,-4) [draw ] {generic}; +\node (docgen) at (0,-4) [draw ] {generic}; +\node (latex) at (4,-4) [draw ] {latex}; +\node (pgf) at (7,-7) [draw,fill=orange] {pgf}; +\node (pre) at (6,-7) [draw,fill=orange] {pgf}; +\node (xkey) at (5,-7) [draw ] {xkeyval}; +\node (four) at (4,-7) [draw ] {fourier}; +\node (prof) at (3,-7) [draw,fill=green ] {{prof}}; +\node (etc) at (2,-7) [draw ] {etc...}; +\node (dpgf) at (0,-7) [draw,fill=orange] {pgf}; +\node (cls) at (8,-11) [draw,fill=green ] {prof.cls}; +\node (qcm) at (7,-11) [draw,fill=green ] {alterqcm.sty}; +\node (fonc) at (6,-11) [draw,fill=orange] {tkz-base.sty}; +\node (esp) at (5,-11) [draw,fill=orange] {tkz-fct.sty}; +\node (tuk) at (4,-11) [draw,fill=orange] {tkz-arith.sty}; +\node (tab) at (3,-11) [draw,fill=orange] {tkz-2d.sty}; +\node (base) at (2,-11) [draw,fill=orange] {tkz-tab.sty}; +\node (gra) at (1,-11) [draw,fill=orange] {tkz-berge.sty}; +\node (pcfg) at (0,-11) [draw,fill=green ] {prof.cfg}; +\node (ppcfg) at (-1,-11) [draw,fill=green ] {profparam.cfg}; +\node (bbp) at (-2,-11) [draw,fill=orange] {bbpage.cfg}; +\draw (doc.west) |- (4, 1); +\draw (tex.west) |- (4, 1); +\draw (latex.west) |- (6,-2); +\draw (generic.west) |- (6,-2); +\draw (xkey.west) |- (5,-6); +\draw (prof.west) |- (3,-6); +\draw (four.west) |- (4,-6); +\draw (pre.west) |- (4,-6); +\draw (etc.west) |- (4,-6); +\draw (cls.west) |- (4,-9); +\draw (qcm.west) |- (7,-9); +\draw (fonc.west) |- (6,-9); +\draw (esp.west) |- (5,-9); +\draw (tuk.west) |- (4,-9); +\draw (tab.west) |- (3,-9); +\draw (base.west) |- (2,-9); +\draw (gra.west) |- (1,-9); +\draw (pcfg.west) |- (0,-9); +\draw (ppcfg.west) |- (-1,-9); +\draw (bbp.west) |- (4,-9); +\draw[-open triangle 90] (pgf.west) -- (generic.east); +\draw[-open triangle 90] (4,1) -- (texmf.east); +\draw[-open triangle 90] (6,-2) -- (tex.east); +\draw[-open triangle 90] (4,-6) -- (latex.east); +\draw[-open triangle 90] (3,-9) -- (prof.east); +\draw[-open triangle 90] (dpgf.west) -- (docgen.east); +\draw[-open triangle 90] (docgen.west) -- (doc.east); +\end{tikzpicture} + +\begin{tikzpicture}[remember picture,overlay] + \path[->,thin,red,>=latex] (n1) edge [bend left] (prof); + \path[->,thin,red,>=latex] (n2) edge [bend left] (prof); +\end{tikzpicture} +\endinput
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b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/Grid.tex @@ -0,0 +1,21 @@ +% Author : Alain Matthes +% Encoding : UTF8 +% Engine : PDFLaTeX +\documentclass[]{article} +\usepackage[utf8]{inputenc} +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{fullpage} +\usepackage[upright]{fourier} +\usepackage{tkz-berge} +\thispagestyle{empty} +%\usetikzlibrary{calc} +\begin{document} + \GraphInit[vstyle=Shade] + \SetGraphShadeColor{blue!60!black!30}{blue}{white} +\begin{center} + \begin{tikzpicture} + \grGrid[Math,RA=2,RB=2]{3}{5} + \end{tikzpicture} +\end{center} + +\end{document}
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/gr-Circulant.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/gr-Circulant.tex new file mode 100644 index 0000000000..678de92cea --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/gr-Circulant.tex @@ -0,0 +1,51 @@ +% Author : Alain Matthes +% Encoding : UTF8 +% Engine : PDFLaTeX +\documentclass[]{article} +\usepackage[utf8]{inputenc} +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{fullpage} +\usepackage[upright]{fourier} +\usepackage{tkz-berge} +\thispagestyle{empty} + +\begin{document} + + +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCirculant[RA=3.5]{4}{1} +\end{tikzpicture} +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCirculant[RA=3.5]{6}{1,3} +\end{tikzpicture} + +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCirculant[RA=3.5]{8}{1,3} +\end{tikzpicture} +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCirculant[RA=3.5]{10}{1,3,5} +\end{tikzpicture} + +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \grCirculant[RA=3.5]{12}{1,3,5} +\end{tikzpicture} +\begin{tikzpicture} + \GraphInit[vstyle=Art] +\grCirculant[RA=3.5]{14}{1,3,5,7} +\end{tikzpicture} + +\begin{tikzpicture} + \GraphInit[vstyle=Art] +\grCirculant[RA=3.5]{16}{1,3,5,7} +\end{tikzpicture} +\begin{tikzpicture} + \GraphInit[vstyle=Art] +\grCirculant[RA=3.5]{21}{1} +\end{tikzpicture} +% +\end{document}
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/gr-Complet-16.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/gr-Complet-16.tex new file mode 100644 index 0000000000..e7563b31a5 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/gr-Complet-16.tex @@ -0,0 +1,28 @@ +% Author : Alain Matthes +% Encoding : UTF8 +% Engine : PDFLaTeX +\documentclass[]{article} +\usepackage[utf8]{inputenc} +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{fullpage} +\usepackage[upright]{fourier} +\usepackage{tkz-berge} +\thispagestyle{empty} + +\begin{document} + +\begin{center} +\begin{tikzpicture} + \SetVertexNoLabel + \tikzstyle{VertexStyle}=[shape = circle, + shading = ball, + ball color = green!40!black,% + minimum size = 20pt,% + draw] + \tikzstyle{EdgeStyle} =[thick,% + double= orange,% + double distance = 1pt] + \grCirculant[RA=6]{16}{2,3,4,5,6,7,8} +\end{tikzpicture} +\end{center} +\end{document}
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/gr-edgeingraphmodloop.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/gr-edgeingraphmodloop.tex new file mode 100644 index 0000000000..86df830342 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/gr-edgeingraphmodloop.tex @@ -0,0 +1,26 @@ +% Author : Alain Matthes +% Encoding : UTF8 +% Engine : PDFLaTeX +\documentclass[]{article} +\usepackage[utf8]{inputenc} +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{fullpage} +\usepackage[upright]{fourier} +\usepackage{tkz-berge} +\thispagestyle{empty} +\begin{document} + \begin{tikzpicture} + \grEmptyCycle[RA=4]{7} + \EdgeInGraphModLoop{a}{7}{2}{1} + \end{tikzpicture} + + \begin{tikzpicture} + \grEmptyCycle[RA=4]{8} + \EdgeInGraphModLoop{a}{8}{2}{1} + \end{tikzpicture} + + \begin{tikzpicture} + \grEmptyCycle[RA=4]{8} + \EdgeInGraphModLoop{a}{8}{3}{1} + \end{tikzpicture} +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/grCLadder.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/grCLadder.tex new file mode 100644 index 0000000000..626f3e7cec --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/grCLadder.tex @@ -0,0 +1,39 @@ +% Author : Alain Matthes +% Encoding : UTF8 +% Engine : PDFLaTeX +\documentclass[]{article} +\usepackage[utf8]{inputenc} +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{fullpage} +\usepackage[upright]{fourier} +\usepackage{tkz-berge} +\thispagestyle{empty} + +\begin{document} + +\tikzstyle{EdgeStyle}= [thick,% + double = orange,% + double distance = 1pt] +\begin{center} + + \tikzstyle{VertexStyle}=[shape = circle, + shading = ball, + ball color = green!30, + minimum size = 24pt, + draw] + \SetVertexLabel + \tikzstyle{EdgeStyle}= [color=red!30, + double= green!50!black, + double distance = 2pt] +\begin{tikzpicture} +\grPrism[RA=5,RB=3]{6}% +\end{tikzpicture} + +\begin{tikzpicture} +\grPrism[RA=5,RB=3]{4}% +\end{tikzpicture} + + +\end{center} + +\end{document}
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/grDoubleMod.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/grDoubleMod.tex new file mode 100644 index 0000000000..42c2fccbd4 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/grDoubleMod.tex @@ -0,0 +1,23 @@ +% Author : Alain Matthes +% Encoding : UTF8 +% Engine : PDFLaTeX +\documentclass[]{article} +\usepackage[utf8]{inputenc} +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{fullpage} +\usepackage[upright]{fourier} +\usepackage{tkz-berge} +\thispagestyle{empty} +%\usetikzlibrary{calc} +\begin{document} + \GraphInit[vstyle=Shade] + \SetGraphShadeColor{blue!60!black!30}{blue}{white} +\begin{center} + \begin{tikzpicture} + \grCycle[RA=7]{27} + \EdgeDoubleMod{a}{27}{0}{3} + {a}{27}{13}{3}{9} + \end{tikzpicture} +\end{center} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/grExtraChords.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/grExtraChords.tex new file mode 100644 index 0000000000..c3ce1095fe --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/grExtraChords.tex @@ -0,0 +1,64 @@ +% Author : Alain Matthes +% Encoding : UTF8 +% Engine : PDFLaTeX +\documentclass[]{article} +\usepackage[utf8]{inputenc} +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{fullpage} +\usepackage[upright]{fourier} +\usepackage{tkz-berge} +\thispagestyle{empty} + +\begin{document} + +\tikzstyle{VertexStyle}=[shape = circle,% + fill = red!50, + very thin, + inner sep = 0pt,% + minimum size = 16pt, + draw] +\tikzstyle{EdgeStyle}= [thick,% + double= lightgray,% + double distance = 1pt] + + \SetVertexLabel +\begin{tikzpicture} + \grEmptyCycle[RA=4]{30} + \EdgeInGraphMod*{a}{30}{9}{1}{6} +\end{tikzpicture} + +\begin{tikzpicture} + \grEmptyCycle[RA=4]{30} + \EdgeInGraphMod{a}{30}{9} +\end{tikzpicture} + +\begin{tikzpicture} + \grEmptyCycle[RA=5]{30} + \EdgeInGraphMod*{a}{30}{9}{1}{6} +\end{tikzpicture} + +\begin{center} + \begin{tikzpicture}[rotate=90] + \grLCF[RA=6]{6,12}{15} + \end{tikzpicture} +\end{center} + + +\begin{center} + \begin{tikzpicture}[rotate=90] + \grLCF[RA=6]{6,12}{15} + \SetUpEdge[color=red] + \EdgeInGraphMod*{a}{30}{9}{1}{6} + \end{tikzpicture} +\end{center} + +\begin{center} + \begin{tikzpicture}[rotate=90] + \grLCF[RA=6]{6,12}{15} + \EdgeInGraphMod*{a}{30}{9}{1}{6} + \EdgeInGraphMod*{a}{30}{15}{2}{6} + \EdgeInGraphMod*{a}{30}{9}{3}{6} + \end{tikzpicture} +\end{center} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/grLadder.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/grLadder.tex new file mode 100644 index 0000000000..d2ab402846 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/grLadder.tex @@ -0,0 +1,27 @@ +% Author : Alain Matthes +% Encoding : UTF8 +% Engine : PDFLaTeX +\documentclass[]{article} +\usepackage[utf8]{inputenc} +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{fullpage} +\usepackage[upright]{fourier} +\usepackage{tkz-berge} +\thispagestyle{empty} +%\usetikzlibrary{calc} +\begin{document} + \GraphInit[vstyle=Shade] + \SetGraphShadeColor{green!30}{green!50!black}{red!30} +\begin{center} +\begin{tikzpicture} +\grLadder[RA=2,RS=3]{6}% +\end{tikzpicture} +\end{center} + +\begin{center} +\begin{tikzpicture} +\grLadder[RA=3,RS=4]{4}% +\end{tikzpicture} +\end{center} + +\end{document}
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/grSQCycle.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/grSQCycle.tex new file mode 100644 index 0000000000..fade3b4f64 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/grSQCycle.tex @@ -0,0 +1,34 @@ +% Author : Alain Matthes +% Encoding : UTF8 +% Engine : PDFLaTeX +\documentclass[]{article} +\usepackage[utf8]{inputenc} +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{fullpage} +\usepackage[upright]{fourier} +\usepackage{tkz-berge} +\thispagestyle{empty} +%\usetikzlibrary{calc} +\thispagestyle{empty} +\begin{document} + \GraphInit[vstyle=Shade] + \SetGraphShadeColor{black!50}{darkgray}{white} + \SetVertexMath +\begin{center} + \begin{tikzpicture} + \grSQCycle[RA=5]{8}% + \end{tikzpicture} +\end{center} + +\begin{center} + \begin{tikzpicture} + \grSQCycle[RA=5]{6}% + \end{tikzpicture} +\end{center} + +\begin{center} + \begin{tikzpicture} + \grSQCycle[RA=5]{9}% + \end{tikzpicture} +\end{center} +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/grStar.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/grStar.tex new file mode 100644 index 0000000000..4a0d75d919 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/grStar.tex @@ -0,0 +1,37 @@ +% Author : Alain Matthes +% Encoding : UTF8 +% Engine : PDFLaTeX +\documentclass[]{article} +\usepackage[utf8]{inputenc} +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{fullpage} +\usepackage[upright]{fourier} +\usepackage{tkz-berge} +\thispagestyle{empty} + +\begin{document} + \GraphInit[vstyle=Shade] + \SetGraphShadeColor{orange!60}{red}{white} + \SetVertexMath +\begin{center} + \begin{tikzpicture} + \grEmptyStar[RA=3]{6} + \end{tikzpicture} +\end{center} + + +\begin{center} + \begin{tikzpicture} + \grStar[RA=3]{7} + \end{tikzpicture} +\end{center} + + +\begin{center} + \begin{tikzpicture} + \grStar[RA=4]{10} + \end{tikzpicture} +\end{center} + + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/grWheel.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/grWheel.tex new file mode 100644 index 0000000000..28f563de4c --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/grWheel.tex @@ -0,0 +1,28 @@ +% Author : Alain Matthes +% Encoding : UTF8 +% Engine : PDFLaTeX +\documentclass[]{article} +\usepackage[utf8]{inputenc} +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{fullpage} +\usepackage[upright]{fourier} +\usepackage{tkz-berge} +\thispagestyle{empty} +\begin{document} + \GraphInit[vstyle=Shade] + \SetGraphShadeColor{orange!60!black!30}{Brown}{white} +\begin{center} + \begin{tikzpicture} + \grWheel[RA=3]{5} + \end{tikzpicture} +\end{center} + + +\begin{center} + \begin{tikzpicture} + \grWheel[RA=4]{10} + \end{tikzpicture} +\end{center} + + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/hypercube_simple.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/hypercube_simple.tex new file mode 100644 index 0000000000..8ae56a4875 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/hypercube_simple.tex @@ -0,0 +1,32 @@ +% Author : Alain Matthes +% Encoding : UTF8 +% Engine : PDFLaTeX +\documentclass[]{article} +\usepackage[utf8]{inputenc} +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{fullpage} +\usepackage[upright]{fourier} +\usepackage{tkz-berge} +\thispagestyle{empty} +\begin{document} +\SetVertexSimple +\SetVertexNoLabel +\begin{center} + \begin{tikzpicture} + \grCycle[RA=8]{8} + \pgfmathparse{8*(1-4*sin(22.5)*sin(22.5))} + \let\tkzbradius\pgfmathresult + \grCirculant[prefix=b,RA=\tkzbradius]{8}{3} +\makeatletter + \foreach \vx in {0,...,7}{% + \pgfmathsetcounter{tkz@gr@n}{mod(\vx+1,8)} + \pgfmathsetcounter{tkz@gr@a}{mod(\vx+7,8)} + \pgfmathsetcounter{tkz@gr@b}{mod(\thetkz@gr@n+1,8)} + \Edge(a\thetkz@gr@n)(b\thetkz@gr@b) + \Edge(b\thetkz@gr@a)(a\vx) + } +\makeatother +\end{tikzpicture} +\end{center} + +\end{document}
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/hypercubed.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/hypercubed.tex new file mode 100644 index 0000000000..f5c33f4693 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/examples/latex/hypercubed.tex @@ -0,0 +1,38 @@ +% Author : Alain Matthes +% Encoding : UTF8 +% Engine : PDFLaTeX +\documentclass[]{article} +\usepackage[utf8]{inputenc} +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{fullpage} +\usepackage[upright]{fourier} +\usepackage{tkz-berge} +\thispagestyle{empty} +\begin{document} +\tikzstyle{SimpleVertexStyle} = [shape = circle,% + fill = red,% + inner sep = 3pt,% + outer sep = 0pt,% + draw] +\SetVertexSimple +\SetVertexNoLabel + +\begin{center} + \begin{tikzpicture} + \grCycle[RA=8]{8} + \pgfmathparse{8*(1-4*sin(22.5)*sin(22.5))} + \let\tkzbradius\pgfmathresult + \grCirculant[prefix=b,RA=\tkzbradius]{8}{3} + \makeatletter + \foreach \vx in {0,...,7}{% + \pgfmathsetcounter{tkz@gr@n}{mod(\vx+1,8)} + \pgfmathsetcounter{tkz@gr@a}{mod(\vx+7,8)} + \pgfmathsetcounter{tkz@gr@b}{mod(\thetkz@gr@n+1,8)} + \Edge(a\thetkz@gr@n)(b\thetkz@gr@b) + \Edge(b\thetkz@gr@a)(a\vx) + }\makeatother + \end{tikzpicture} + +\end{center} + +\end{document}
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/latex/tkz-arith.sty b/obsolete/macros/latex/contrib/tkz/tkz-berge/latex/tkz-arith.sty new file mode 100644 index 0000000000..de927a7c03 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/latex/tkz-arith.sty @@ -0,0 +1,32 @@ + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % % + % tkz-arith.sty encodage : utf8 % + % % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % % + % Créé par Alain Matthes le 10-10-2007. % + % % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%<--------------------------------------------------------------------------–> +%% Objet : tools for arithmetic +% todo : remove latex stuff +% todo : change some names of macros +%<--------------------------------------------------------------------------–> +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{tkz-arith}[2011/02/28 v 1.00 c integers numbers] +%<--------------------------------------------------------------------------–> +\makeatletter +\def\tkzutil@empty{} +\def\tkzutil@firstofone#1{#1} +\def\tkzutil@firstoftwo#1#2{#1} +\def\tkzutil@secondoftwo#1#2{#2} +%<--------------------------------------------------------------------------–> +\long\def\tkzutil@ifundefined#1{% + \expandafter\ifx\csname#1\endcsname\relax + \expandafter\tkzutil@firstoftwo + \else + \expandafter\tkzutil@secondoftwo + \fi} +\input{tkz-tools-arith.tex} + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/latex/tkz-berge.sty b/obsolete/macros/latex/contrib/tkz/tkz-berge/latex/tkz-berge.sty new file mode 100644 index 0000000000..60ef29b415 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/latex/tkz-berge.sty @@ -0,0 +1,1810 @@ + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % % + % tkz-berge.sty encodage : utf8 % + % % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % % + % Créé par Alain Matthes le 08-05-2007. % + % contribution : Rafael Villarroel 2007 (RV) % + % contribution : Rafael Villarroel 2009 (RV) % + % % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + % modif Doyle form 1 + % add \setkeys[GR]{edge}{#1}% in edge's macros + % remove somme bugs with pgf 2.00 cvs + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%% Objet : Création de graphes classiques +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{tkz-berge}[2011/06/01 1.00 c tkz-berge for named graphs] + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\RequirePackage{tkz-graph,tkz-arith} +\edef\tkzAtCode{\the\catcode`\@} +\catcode`\@=11\relax +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcounter{tkz@bg@cnt} +% NAMED GRAPHS +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% Graphes cls +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\define@cmdkey [GR] {cl} {L}{} +\define@boolkey [GR] {cl} {Math}[true]{} +\define@boolkey [GR] {cl} {inv}[true]{} +\define@cmdkey [GR] {cl} {RA}{} +\define@cmdkey [GR] {cl} {RB}{} +\define@cmdkey [GR] {cl} {RC}{} +\define@cmdkey [GR] {cl} {RD}{} +\define@cmdkey [GR] {cl} {RE}{} +\define@cmdkey [GR] {cl} {RS}{} +\define@cmdkey [GR] {cl} {prefix}{} +\define@cmdkey [GR] {cl} {prefixx}{} +\define@cmdkey [GR] {cl} {prefixxx}{} +\define@cmdkey [GR] {cl} {prefixxxx}{} +\define@cmdkey [GR] {cl} {prefixxxxx}{} +\define@cmdkey [GR] {cl} {form}{} +\define@cmdkey [GR] {cl} {num}{} +\define@cmdkey [GR] {cl} {rotation}{} +\define@cmdkey [GR] {cl} {x}{} +\define@cmdkey [GR] {cl} {y}{} +\define@cmdkey [GR] {cl} {r}{} +\define@cmdkey [GR] {cl} {d}{} +\presetkeys [GR] {cl} {RA = 4, + RB = 3, + RC = 2, + RD = 1, + RE = 0.5, + RS = 0, + form = 1, + prefix = a, + prefixx = b, + prefixxx = c, + prefixxxx = d, + prefixxxxx = e, + num = {}, + Math = false, + x = 0, + y = 0, + r = 0, + d = 0, + rotation = 0}{} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% Tools Graphes particuliers +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% Some tools +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grMathSep}{_} +\newcommand*{\grLabelSep}{;} + +\newcommand*{\write@math}[3]{% + \Vertex[x = #1,y = #2,% + L = \cmdGR@cl@prefix\grMathSep{#3}]{\cmdGR@cl@prefix#3}} +\newcommand*{\write@nomath}[3]{% + \Vertex[x = #1,y = #2]{\cmdGR@cl@prefix#3}} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% Empty graphs +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grEmptyCycle}{\@ifstar% + \grEmptyCycleStar% + \grEmptyCycleNoStar} +\newcommand*{\grEmptyCycleNoStar}[2][]{% + \begingroup% + \setkeys[GR]{cl}{#1}% + \pgfmathsetcounter{tkz@gr@p}{#2-1} + \edef\tkz@auxctp{\thetkz@gr@p} + \foreach \V@x in {0,...,\tkz@auxctp}{% + \pgfmathparse{360/#2*\V@x+\cmdGR@cl@rotation} + \let\tkz@angle\pgfmathresult% +\pgfmathsetmacro{\x@result}{% + \cmdGR@cl@RA*cos(\tkz@angle)+\cmdGR@cl@r*cos(\cmdGR@cl@d)} + \pgfmathsetmacro{\y@result}{% + \cmdGR@cl@RA*sin(\tkz@angle)+\cmdGR@cl@r*sin(\cmdGR@cl@d)} + \ifGR@cl@Math% + \presetkeys [GR] {vertex} {Math = true}{}% + \Vertex[x = \x@result+\cmdGR@cl@x,% + y = \y@result+\cmdGR@cl@y,% + L = \cmdGR@cl@prefix\grMathSep{\V@x}]{\cmdGR@cl@prefix\V@x}% + \else% + \Vertex[x = \x@result+\cmdGR@cl@x,% + y = \y@result+\cmdGR@cl@y]{\cmdGR@cl@prefix\V@x}% + \fi% + }% + \endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand{\grEmptyCycleStar}[2][]{% + \begingroup% + \setkeys[GR]{cl}{#1}% + \setcounter{tkz@gr@a}{0} + \setcounter{tkz@gr@b}{0} + \foreach \V@x in {#2}{\stepcounter{tkz@gr@b}{1}} + \foreach \V@x in {#2}{% + \pgfmathsetmacro{\x@result}{% + \cmdGR@cl@RA*cos((360/\thetkz@gr@b)*\thetkz@gr@a+\cmdGR@cl@rotation)% + +\cmdGR@cl@r*cos(\cmdGR@cl@d)% + } + \pgfmathsetmacro{\y@result}{% + \cmdGR@cl@RA*sin((360/\thetkz@gr@b)*\thetkz@gr@a+\cmdGR@cl@rotation)% + +\cmdGR@cl@r*sin(\cmdGR@cl@d)% + } + \ifGR@cl@Math% + \Vertex[% + x=\x@result+\cmdGR@cl@x, + y=\y@result+\cmdGR@cl@y, + L=$\V@x$]{\cmdGR@cl@prefix\thetkz@gr@a}% + \else% + \Vertex[% + x=\x@result+\cmdGR@cl@x, + y=\y@result+\cmdGR@cl@y, + L=\V@x]{\cmdGR@cl@prefix\thetkz@gr@a}% + \fi% + \stepcounter{tkz@gr@a}% + } + \endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grEmptyPath from (RV) +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grEmptyPath}{\@ifstar% + \grEmptyPathStar% + \grEmptyPathNoStar} +\newcommand*{\grEmptyPathNoStar}[2][]{% +\begingroup% +\setkeys[GR]{cl}{#1}% +\pgfmathsetcounter{tkz@gr@a}{#2-1} +\edef\tkz@auxctp{\thetkz@gr@a} + \ifcase\cmdGR@cl@form +\or +\def\tkzb@result{0} +\foreach \V@x in {0,...,\tkz@auxctp}{% + \pgfmathsetmacro{\x@result}{\cmdGR@cl@RA*(\V@x)*cos(\cmdGR@cl@rotation)} + \pgfmathsetmacro{\y@result}{\cmdGR@cl@RA*(\V@x)*sin(\cmdGR@cl@rotation)} + \pgfmathsetmacro{\x@coord}{\x@result+\cmdGR@cl@x+\cmdGR@cl@r*cos(\cmdGR@cl@d)} + \pgfmathsetmacro{\y@coord}{\y@result+\cmdGR@cl@y+ + \cmdGR@cl@r*sin(\cmdGR@cl@d)+\cmdGR@cl@RS} + \ifGR@cl@Math% + \presetkeys [GR] {vertex} {Math = true}{}% + \ifthenelse{\equal{\cmdGR@cl@num}{}}{% + \write@math{\x@coord}{\y@coord}{\V@x}}{% + \write@math{\x@coord}{\y@coord}{\V@x\grLabelSep\cmdGR@cl@num}}% + \else + \ifthenelse{\equal{\cmdGR@cl@num}{}}{% + \write@nomath{\x@coord}{\y@coord}{\V@x}}{% + \write@nomath{\x@coord+\cmdGR@cl@x}{\y@coord}{% + \V@x\grLabelSep\cmdGR@cl@num}}% + \fi}% + \or +\foreach \V@x in {0,...,\tkz@auxctp}{% + \pgfmathsetmacro{\x@result}{% + \cmdGR@cl@RA*(2*\V@x-\thetkz@gr@a)*0.5*cos(\cmdGR@cl@rotation)} + \pgfmathsetmacro{\y@result}{% + \cmdGR@cl@RA*(2*\V@x-\thetkz@gr@a)*0.5*sin(\cmdGR@cl@rotation)} + \pgfmathsetmacro{\x@coord}{% + \x@result+\cmdGR@cl@x+\cmdGR@cl@r*cos(\cmdGR@cl@d)} + \pgfmathsetmacro{\y@coord}{% + \y@result+\cmdGR@cl@y+\cmdGR@cl@r*sin(\cmdGR@cl@d)+\cmdGR@cl@RS} + \ifGR@cl@Math% + \presetkeys [GR] {vertex} {Math = true}{}% + \ifthenelse{\equal{\cmdGR@cl@num}{}}{% + \write@math{\x@coord}{\y@coord}{\V@x}}{% + \write@math{\x@coord}{\y@coord}{\cmdGR@cl@num\grLabelSep\V@x}}% + \else + \ifthenelse{\equal{\cmdGR@cl@num}{}}{% + \write@nomath{\x@coord}{\y@coord}{\V@x}}{% + \write@nomath{\x@coord}{\y@coord}{\cmdGR@cl@num\grLabelSep\V@x}}% + \fi +}% +\fi +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand{\grEmptyPathStar}[2][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \setcounter{tkz@gr@a}{0} + \ifcase\cmdGR@cl@form + \or + % form 1 + \foreach \V@x in {#2}{% + \pgfmathsetmacro{\x@result}{\cmdGR@cl@RA*\value{tkz@gr@a}*cos(\cmdGR@cl@rotation)% + +\cmdGR@cl@r*cos(\cmdGR@cl@d)}% + \pgfmathsetmacro{\y@result}{\cmdGR@cl@RA*\value{tkz@gr@a}*sin(\cmdGR@cl@rotation)% + +\cmdGR@cl@r*sin(\cmdGR@cl@d)}% + \ifGR@cl@Math% + \Vertex[% + x=\x@result+\cmdGR@cl@x, + y=\y@result+\cmdGR@cl@y, + L=$\V@x$]{\cmdGR@cl@prefix\thetkz@gr@a}% + \else% + \Vertex[% + x=\x@result+\cmdGR@cl@x, + y=\y@result+\cmdGR@cl@y, + L=\V@x]{\cmdGR@cl@prefix\thetkz@gr@a}% + \fi% + \stepcounter{tkz@gr@a}% + }% + \or + % form 2 + \setcounter{tkz@gr@a}{0} + \setcounter{tkz@gr@b}{0} + \foreach \V@x in {#2}{\stepcounter{tkz@gr@b}{1}} + \foreach \V@x in {#2}{% + \pgfmathsetmacro{\x@result}{\cmdGR@cl@RA*(2*\value{tkz@gr@a}-\value{tkz@gr@b}+1)*0.5% + *cos(\cmdGR@cl@rotation)% + +\cmdGR@cl@r*cos(\cmdGR@cl@d)% + } + \pgfmathsetmacro{\y@result}{\cmdGR@cl@RA*(2*\value{tkz@gr@a}-\value{tkz@gr@b}+1)*0.5% + *sin(\cmdGR@cl@rotation)% + +\cmdGR@cl@r*sin(\cmdGR@cl@d)% + } + \ifGR@cl@Math% + \Vertex[% + x=\x@result+\cmdGR@cl@x, + y=\y@result+\cmdGR@cl@y, + L=$\V@x$]{\cmdGR@cl@prefix\thetkz@gr@a}% + \else% + \Vertex[% + x=\x@result+\cmdGR@cl@x, + y=\y@result+\cmdGR@cl@y, + L=\V@x]{\cmdGR@cl@prefix\thetkz@gr@a}% + \fi% + \stepcounter{tkz@gr@a} + } + \fi + \endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grEmptyStar +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grEmptyStar}[2][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \pgfmathsetcounter{tkz@gr@a}{#2-1} + \ifGR@cl@Math\presetkeys [GR] {vertex} {Math = true}{}% + \write@math{0}{0}{\thetkz@gr@a}% + \else + \write@nomath{0}{0}{\thetkz@gr@a}% + \fi + \grEmptyCycle[#1]{\thetkz@gr@a} +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grEmptyGrid +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand{\grEmptyGrid}[3][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \pgfmathsetcounter{tkz@gr@a}{#2-1} + \edef\tkz@auxctpa{\thetkz@gr@a} + \pgfmathsetcounter{tkz@gr@b}{#3-1} + \edef\tkz@auxctpb{\thetkz@gr@b} + \foreach \V@x in {0,...,\tkz@auxctpa}{% + \foreach \V@y in {0,...,\tkz@auxctpb}{% + \ifGR@cl@Math\presetkeys [GR] {vertex} {Math = true}{}% + \write@math{\cmdGR@cl@RA*\V@x}{\cmdGR@cl@RB*\V@y}{\V@x\grLabelSep\V@y}% + \else + \write@nomath{\cmdGR@cl@RA*\V@x}{\cmdGR@cl@RB*\V@y}{\V@x\grLabelSep\V@y}% + \fi}% + } +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grEmptyLadder +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grEmptyLadder}[2][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grEmptyPath[#1,RS=0]{#2} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \grEmptyPath[#1,prefix=\tkzb@ptemp,RS=\tkzb@rtemp]{#2} +\endgroup% +} + + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% Edges +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\EdgeInGraphFromOneToComp}[4][]{% #4 +\begingroup% + \setkeys[GR]{edge}{#1}% + \pgfmathsetcounter{tkz@gr@ta}{#3-1} + \edef\tkz@auxctp{\thetkz@gr@ta} + \foreach \cx in {0,...,\tkz@auxctp}{% + \ifthenelse{\equal{\cx}{#4}}{}{\Edge[#1](#2#4)(#2\cx)}% + }% +\endgroup% +} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% new tool EdgeInGraphLoop loop 0--1--2.........n--0 +% star 0--1--2.........n- +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\EdgeInGraphLoop}{\@ifstar% + \EdgeInGraphLoopStar% + \EdgeInGraphLoopNoStar} +\newcommand*{\EdgeInGraphLoopNoStar}[3][]{% #4 +\begingroup% +\setkeys[GR]{edge}{#1}% + \pgfmathsetcounter{tkz@gr@ta}{#3-1} + \setcounter{tkz@gr@n}{0} + \Edge[#1](#2\thetkz@gr@ta)(#2\thetkz@gr@n) + \pgfmathaddtocounter{tkz@gr@ta}{-1} + \edef\tkz@auxctp{\thetkz@gr@ta} + \foreach \V@x in {0,...,\tkz@auxctp}{% + \stepcounter{tkz@gr@n} + \Edge[#1](#2\V@x)(#2\thetkz@gr@n)% + }% +\endgroup% +} +\newcommand*{\EdgeInGraphLoopStar}[3][]{% #4 +\begingroup% +\setkeys[GR]{edge}{#1}% + \pgfmathsetcounter{tkz@gr@ta}{#3-2} + \setcounter{tkz@gr@n}{0} + \edef\tkz@auxctp{\thetkz@gr@ta} + \foreach \V@x in {0,...,\tkz@auxctp}{% + \stepcounter{tkz@gr@n} + \Edge[#1](#2\V@x)(#2\thetkz@gr@n)% + }% +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% new tool EdgeInGraphMod replace nextmod +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\EdgeInGraphMod}{\@ifstar% + \EdgeInGraphModStar% + \EdgeInGraphModNoStar} +\newcommand*{\EdgeInGraphModNoStar}[4][]{% #2 order +\begingroup% + \setkeys[GR]{edge}{#1}% + \pgfmathsetcounter{tkz@gr@ta}{#3-1} + \edef\tkz@auxctp{\thetkz@gr@ta} + \foreach \V@x in {0,...,\tkz@auxctp}{% + \pgfmathsetcounter{tkz@gr@tb}{Mod(\V@x+#4,#3)} + \Edge[#1](#2\thetkz@gr@tb)(#2\V@x)% + }% +\endgroup% +} +%#1 prefix #2 order #3 add #4 start #5 décalage +\newcommand*{\EdgeInGraphModStar}[6][]{% +\begingroup% + \setkeys[GR]{edge}{#1}% + \pgfmathsetcounter{tkz@gr@ta}{#5} + \whiledo{\value{tkz@gr@ta}<#3}{% + \pgfmathsetcounter{tkz@gr@n}{Mod(\thetkz@gr@ta+#4,#3)} + \Edge[#1](#2\thetkz@gr@ta)(#2\thetkz@gr@n) + \pgfmathaddtocounter{tkz@gr@ta}{#6}% + }% +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% EdgeInGraphModLoop dep #4 add #3 mod #2 until #4 +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\newcommand*{\EdgeInGraphModLoop}[5][]{% #2 order +\begingroup% + \setkeys[GR]{edge}{#1}% + \setcounter{tkz@gr@ta}{#5} + \setcounter{tkz@gr@n}{#3} + \whiledo{\not\equal{\value{tkz@gr@n}}{#5}}{% + \pgfmathsetcounter{tkz@gr@n}{Mod(\thetkz@gr@ta+#4,#3)} + \Edge[#1](#2\thetkz@gr@ta)(#2\thetkz@gr@n)% + \setcounter{tkz@gr@ta}{\thetkz@gr@n} + }% +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% EdgeIdentity +% la version étoilée permet d'utliser une sélection +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\EdgeIdentity}{\@ifstar% + \EdgeIdentityStar% + \EdgeIdentityNoStar} +\newcommand*{\EdgeIdentityNoStar}[4][]{% +\begingroup% + \setkeys[GR]{edge}{#1}% + \pgfmathsetcounter{tkz@gr@e}{#4-1} + \edef\tkz@auxctp{\thetkz@gr@e} + \foreach \V@x in {0,...,\tkz@auxctp}{% + \Edge[#1](#2\V@x)(#3\V@x)% + }% +\endgroup% +} +\newcommand*{\EdgeIdentityStar}[4][]{% +\begingroup% + \setkeys[GR]{edge}{#1}% + \foreach \V@x in {#4}{% + \Edge[#1](#2\V@x)(#3\V@x)% + }% +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% EdgeFromOneToAll vertex #1#3 through #2 0...#2 n-1 #5 order of the graph +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\EdgeFromOneToAll}[5][]{% #4 = order of the graph +\begingroup% + \setkeys[GR]{edge}{#1}% + \pgfmathsetcounter{tkz@gr@e}{#5-1} + \edef\tkz@auxctp{\thetkz@gr@e} + \foreach \V@x in {0,...,\tkz@auxctp}{% + \Edge[#1](#2#4)(#3\V@x)% + }% +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% EdgeFromOneToSeq vertex #1#3 through #2#4...#2#5 +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\EdgeFromOneToSeq}[6][]{% #4 +\begingroup% + \setkeys[GR]{edge}{#1}% + \foreach \V@x in {#5,...,#6}{% + \Edge[#1](#2#4)(#3\V@x)% + }% +\endgroup% +} %<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% EdgeFromOneToSel vertex #1#3 through #2#4...#2#5 +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\EdgeFromOneToSel}[5][]{% #4 +\begingroup% + \setkeys[GR]{edge}{#1}% + \foreach \V@x in {#5}{% + \Edge[#1](#2#4)(#3\V@x)% + }% +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% EdgeFromOneToComplement vertex #1#3 through #2#4...#2#5 +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\EdgeFromOneToComp}[5][]{% +\begingroup% + \setkeys[GR]{edge}{#1}% + \pgfmathsetcounter{tkz@gr@e}{#5-1} + \edef\tkz@auxctp{\thetkz@gr@e} + \foreach \cx in {0,...,\tkz@auxctp}{% + \ifthenelse{\equal{\cx}{#4}}{}{\Edge[#1](#2#4)(#3\cx)}% + }% +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% new tool EdgeMod replace nextmod +% identity with step like nextmod ??? +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\EdgeMod}{\@ifstar% + \EdgeModStar% + \EdgeModNoStar} +\newcommand*{\EdgeModNoStar}[5][]{%#3 order #4 step +\begingroup% + \setkeys[GR]{edge}{#1}% + \pgfmathsetcounter{tkz@gr@e}{#4-1} + \edef\tkz@auxctp{\thetkz@gr@e} + \foreach \V@x in {0,...,\tkz@auxctp}{% + \pgfmathsetcounter{tkz@gr@tb}{Mod(\V@x+#5,#4)} + \Edge[#1](#2\V@x)(#3\thetkz@gr@tb)% + }% +\endgroup% +} +%#1 prefix #2 prefix #3 order #4 order inf #5 step +\newcommand*{\EdgeModStar}[6][]{% +\begingroup% + \setkeys[GR]{edge}{#1}% + \setcounter{tkz@gr@ta}{0} + \whiledo{\value{tkz@gr@ta}<#4}{% + \pgfmathsetcounter{tkz@gr@tb}{Mod(\thetkz@gr@ta+#5,#4)} + \Edge[#1](#2\thetkz@gr@ta)(#3\thetkz@gr@tb)% + \pgfmathaddtocounter{tkz@gr@ta}{#6}}% +\endgroup% +}% +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% new tool EdgeInGraphSeq sequence i--i+1--.....--j +% or i--i+k--...--j +% #1 options #2 graph #3 from #4 to +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\EdgeInGraphSeq}[4][]{% #4 +\begingroup% +\setkeys[GR]{edge}{#1}% + \foreach \V@x in {#3,...,#4}{% + \pgfmathsetcounter{tkz@gr@n}{\V@x+1} + \Edge[#1](#2\V@x)(#2\thetkz@gr@n)}% +\endgroup% +}% + +%%%%%%%%%%% NEW COMMANDS +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% new tool EdgeSeq sequence +% #1 options #2 first graph #3 second graph #4 from #5 to +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand{\EdgeSequence}[5][]{% +\begingroup% +\setkeys[GR]{edge}{#1}% + \foreach \V@x in {#4,...,#5}{% + \pgfmathsetcounter{tkz@gr@n}{\V@x+1} + \Edge[#1](#2\V@x)(#3\thetkz@gr@n)}% +\endgroup% +}% +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% EdgeDoubleMod by RV +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\EdgeDoubleMod}[9]{% +\begingroup% + \foreach \V@x in {0,...,#9}{% + \pgfmathsetcounter{tkz@gr@c}{Mod(#3+(#4*\V@x),#2)} + \pgfmathsetcounter{tkz@gr@n}{Mod(#7+(#8*\V@x),#6)} + \Edge(#1\thetkz@gr@c)(#5\thetkz@gr@n) + }% +\endgroup% +} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grPath +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grPath}[2][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grEmptyPath[#1]{#2} + \ifthenelse{\equal{\cmdGR@cl@num}{}}{% + \ifthenelse{\equal{#2}{1}}{}{% + \EdgeInGraphLoop*{\cmdGR@cl@prefix}{#2}% + }}{% + \ifthenelse{\equal{#2}{1}}{}{% + \ifcase\cmdGR@cl@form + \or + \pgfmathsetcounter{tkz@gr@ta}{#2-2} + \setcounter{tkz@gr@n}{0} + \edef\tkz@auxctp{\thetkz@gr@ta} + \foreach \V@x in {0,...,\tkz@auxctp}{% + \stepcounter{tkz@gr@n} + \Edge(\cmdGR@cl@prefix\V@x\grLabelSep\cmdGR@cl@num)% + (\cmdGR@cl@prefix\thetkz@gr@n\grLabelSep\cmdGR@cl@num)% + }% + \or + \EdgeInGraphLoop*{\cmdGR@cl@prefix\cmdGR@cl@num\grLabelSep}{#2} + \fi% + }} +\endgroup% +} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grGrid +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grGrid}[3][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grEmptyGrid[#1]{#2}{#3} + \pgfmathsetcounter{tkz@gr@a}{#2-2} + \edef\tkz@auxctpa{\thetkz@gr@a} + \pgfmathsetcounter{tkz@gr@b}{#3-2} + \edef\tkz@auxctpb{\thetkz@gr@b} + \foreach \V@x in {0,...,\tkz@auxctpa}{% + \foreach \V@y in {0,...,\tkz@auxctpb}{% + \pgfmathsetcounter{tkz@gr@c}{\V@x+1} + \pgfmathsetcounter{tkz@gr@d}{\V@y+1} + \Edge(\cmdGR@cl@prefix\V@x\grLabelSep\V@y)% + (\cmdGR@cl@prefix\V@x\grLabelSep\thetkz@gr@d) + \Edge(\cmdGR@cl@prefix\V@x\grLabelSep\V@y)% + (\cmdGR@cl@prefix\thetkz@gr@c\grLabelSep\V@y)% + }% + }% + \pgfmathsetcounter{tkz@gr@a}{#2-2} + \pgfmathsetcounter{tkz@gr@b}{#3-1} + \edef\tkz@auxctpa{\thetkz@gr@a} + \foreach \V@x in {0,...,\tkz@auxctpa}{% + \pgfmathsetcounter{tkz@gr@c}{\V@x+1} + \Edge(\cmdGR@cl@prefix\V@x\grLabelSep\thetkz@gr@b)% + (\cmdGR@cl@prefix\thetkz@gr@c\grLabelSep\thetkz@gr@b)% + }% + \pgfmathsetcounter{tkz@gr@a}{#2-1} + \pgfmathsetcounter{tkz@gr@b}{#3-2} + \edef\tkz@auxctpb{\thetkz@gr@b} + \foreach \V@y in {0,...,\tkz@auxctpb}{% + \pgfmathsetcounter{tkz@gr@d}{\V@y+1} + \Edge(\cmdGR@cl@prefix\thetkz@gr@a\grLabelSep\V@y)% + (\cmdGR@cl@prefix\thetkz@gr@a\grLabelSep\thetkz@gr@d)% + }% +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grComplete +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grComplete}[2][]{% #1 options #2 ordre du graphe +\begingroup% + \setkeys[GR]{cl}{#1}% + \grEmptyCycle[#1]{#2}% + \pgfmathsetcounter{tkz@gr@a}{#2-1} + \edef\tkz@auxctp{\thetkz@gr@a} + \foreach \ia in {0,...,\tkz@auxctp}% + {\foreach \ib in {\ia,...,\tkz@auxctp} + {\Edge(\cmdGR@cl@prefix\ia)(\cmdGR@cl@prefix\ib)}% + }% +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grCycle +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grCycle}[2][]{% +\begingroup% + \setkeys[GR]{cl}{#1} + \grEmptyCycle[#1]{#2} + \EdgeInGraphLoop{\cmdGR@cl@prefix}{#2} +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grLCF +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand{\grLCF}[3][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \setcounter{tkz@gr@a}{#3} + \setcounter{tkz@gr@b}{0} + \foreach \V@x in {#2}{\stepcounter{tkz@gr@b}} + \pgfmathsetcounter{tkz@gr@c}{\thetkz@gr@a * \thetkz@gr@b} + \setcounter{tkz@gr@b}{\thetkz@gr@c} + \grCycle[#1]{\thetkz@gr@c} +%<––––––––––––––––––––––––– End Vertex ––––––––––––––––––––––––––––––––––––> + \pgfmathsetcounter{tkz@gr@a}{#3-1} + \edef\tkz@auxctp{\thetkz@gr@a} + \setcounter{tkz@gr@e}{0} + \foreach \V@k in {0,...,\tkz@auxctp}{% + \foreach \n in {#2}{% + \ifthenelse{\n < 0}{% + \pgfmathsetcounter{tkz@gr@b}{\n+\thetkz@gr@c}}{% + \pgfmathsetcounter{tkz@gr@b}{\n}} + \pgfmathsetcounter{tkz@gr@n}% + {Mod(\thetkz@gr@e+\thetkz@gr@b,\thetkz@gr@c)} + \Edge(\cmdGR@cl@prefix\thetkz@gr@e)(\cmdGR@cl@prefix\thetkz@gr@n) + \stepcounter{tkz@gr@e}% + }% + }% +\endgroup% +} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grStar +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grStar}[2][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grEmptyStar[#1]{#2} + \pgfmathsetcounter{tkz@gr@p}{#2-1} + \EdgeInGraphFromOneToComp{\cmdGR@cl@prefix}{#2}{\thetkz@gr@p} +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grWheel +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grWheel}[2][]{ +\begingroup% + \setkeys[GR]{cl}{#1}% + \grStar[#1]{#2} + \pgfmathsetcounter{tkz@gr@e}{#2-1} + \EdgeInGraphLoop{\cmdGR@cl@prefix}{\thetkz@gr@e} +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grSQCircle +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grSQCycle}[2][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grCycle[#1]{#2}% + \EdgeInGraphMod{\cmdGR@cl@prefix}{#2}{2} +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grLadder +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grLadder}[2][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grPath[#1,RS=0]{#2}{0} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \edef\tkzb@rtemp{\cmdGR@cl@RS} + \grPath[#1,prefix=\tkzb@ptemp,RS=\tkzb@rtemp]{#2} + \EdgeIdentity{\cmdGR@cl@prefix}{\cmdGR@cl@prefixx}{#2} +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grPrism +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grPrism}[2][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grCycle[#1]{#2} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \grCycle[#1,RA=\tkzb@rtemp,prefix=\tkzb@ptemp]{#2} + \EdgeIdentity{\cmdGR@cl@prefix}{\cmdGR@cl@prefixx}{#2} +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grCompleteBipartite +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grCompleteBipartite}[3][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \pgfmathsetcounter{tkz@gr@a}{#2-1} + \pgfmathparse{(\cmdGR@cl@RA * \thetkz@gr@a) /2} + \let\tkzRAxpos\pgfmathresult% + \pgfmathsetcounter{tkz@gr@a}{#3-1} + \pgfmathparse{(\cmdGR@cl@RB * \thetkz@gr@a) /2} + \let\tkzRBxpos\pgfmathresult% + \ifdim\tkzRBxpos pt > \tkzRAxpos pt\relax% + \pgfmathadd{\tkzRBxpos}{-\tkzRAxpos} + \let\tkzaxpos\pgfmathresult% + \def\tkzbxpos{0} + \else% + \pgfmathadd{\tkzRAxpos}{-\tkzRBxpos} + \let\tkzbxpos\pgfmathresult% + \def\tkzaxpos{0} + \fi% + \begin{scope}[xshift=\tkzaxpos cm] + \grEmptyPath[#1,RS=0]{#2} + \end{scope} + \begin{scope}[xshift=\tkzbxpos cm] + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \edef\tkzb@rtemp{\cmdGR@cl@RS} + \edef\tkzb@stemp{\cmdGR@cl@RB} + \grEmptyPath[#1,RA=\tkzb@stemp,prefix=\tkzb@ptemp,RS=\tkzb@rtemp]{#3} + \end{scope} + \pgfmathsetcounter{tkz@gr@p}{#2-1} + \pgfmathsetcounter{tkz@gr@e}{#3-1} + \edef\tkz@auxctp{\thetkz@gr@e} + \foreach \cpx in {0,...,\tkz@auxctp}{% + \EdgeFromOneToAll{\cmdGR@cl@prefixx}{\cmdGR@cl@prefix}{\cpx}{#2} + }% +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grTriangularGrid +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grTriangularGrid}[2][]{% +\begingroup% + \setkeys[GR]{cl}{#1} + \ifcase\cmdGR@cl@form + \or +%<––––––––––––––––––––– form 1 equilateral triangle ––––––––––––––––––––––––> + \pgfmathsetcounter{tkz@gr@a}{#2-1} + %\pgfmathsetcounter{tkz@gr@b}{#2} + \edef\tkz@auxctp{\thetkz@gr@a} + \foreach \lg in {0,...,\tkz@auxctp}{% + \pgfmathsetcounter{tkz@gr@b}{#2-\lg} + \setcounter{tkz@gr@b}{\thetkz@gr@b} + \edef\tkzb@rtemp{\cmdGR@cl@RA} + \edef\tkzb@ptemp{\cmdGR@cl@prefix} + \pgfmathmultiply{\cmdGR@cl@RA}{\lg} + \let\myresult\pgfmathresult + \pgfmathparse{\cmdGR@cl@RA*\lg/2} + \let\tkzaxpos\pgfmathresult + \begin{scope}[xshift=\tkzaxpos cm] + \grPath[#1,% + RA = \tkzb@rtemp,% + RS = \myresult,% + prefix = \tkzb@ptemp,% + num = \lg]{\thetkz@gr@b}% + \end{scope}% + } + \or +%<––––––––––––––––––––––––––– form 2 right triangle ––––––––––––––––––––––––> + \pgfmathsetcounter{tkz@gr@a}{#2-1} + % \pgfmathsetcounter{tkz@gr@b}{#2} + \edef\tkz@auxctp{\thetkz@gr@a} + \foreach \lg in {0,...,\tkz@auxctp}{% + \pgfmathsetcounter{tkz@gr@b}{#2-\lg} + \setcounter{tkz@gr@b}{\thetkz@gr@b} + \edef\tkzb@rtemp{\cmdGR@cl@RA} + \edef\tkzb@ptemp{\cmdGR@cl@prefix} + \pgfmathmultiply{\cmdGR@cl@RA}{\lg} + \let\myresult\pgfmathresult + \grPath[#1,% + RA = \tkzb@rtemp,% + RS = \myresult,% + prefix = \tkzb@ptemp,% + num = \lg,form=1]{\thetkz@gr@b}% + } + \or + \pgfmathsetcounter{tkz@gr@a}{#2-1} + \pgfmathsetcounter{tkz@gr@b}{#2} + \edef\tkz@auxctp{\thetkz@gr@a} + \foreach \lg in {0,...,\tkz@auxctp}{% + \pgfmathsetcounter{tkz@gr@b}{#2-\lg} + \setcounter{tkz@gr@b}{\thetkz@gr@b} + \edef\tkzb@rtemp{\cmdGR@cl@RA} + \edef\tkzb@ptemp{\cmdGR@cl@prefix} + \pgfmathmultiply{\cmdGR@cl@RA}{\lg} + \let\myresult\pgfmathresult + \begin{scope}[xshift=\myresult cm] + \grPath[#1,% + RA = \tkzb@rtemp,% + RS = \myresult,% + prefix = \tkzb@ptemp,% + num = \lg,form=1]{\thetkz@gr@b}% + \end{scope}% + } + \fi% + \pgfmathsetcounter{tkz@gr@a}{#2-2} + \edef\tkz@auxctp{\thetkz@gr@a} + \foreach \V@x in {0,...,\tkz@auxctp}{% + \pgfmathsetcounter{tkz@gr@e}{\thetkz@gr@a-\V@x} + \edef\tkz@auxctpb{\thetkz@gr@e} + \foreach \V@y in {0,...,\tkz@auxctpb}{% + \pgfmathsetcounter{tkz@gr@b}{\V@y+1} + \Edge(\cmdGR@cl@prefix\V@x\grLabelSep\V@y)% + (\cmdGR@cl@prefix\V@x\grLabelSep\thetkz@gr@b) + \pgfmathsetcounter{tkz@gr@p}{\V@x+1} + \Edge(\cmdGR@cl@prefix\V@x\grLabelSep\thetkz@gr@b)% + (\cmdGR@cl@prefix\thetkz@gr@p\grLabelSep\V@y) + }% + } +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grHeawood +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grHeawood}[1][]{% #1 options #2 ordre du graphe +\begingroup% + \setkeys[GR]{cl}{#1}% + \grCycle[#1]{14} + \EdgeInGraphMod*{\cmdGR@cl@prefix}{14}{5}{0}{2} +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grCirculant #1 option #2 vertex #3 add k +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grCirculant}[3][]{% +\begingroup% + \setkeys[GR]{cl}{#1} + \grEmptyCycle[#1]{#2}% + \pgfmathisprime{#2}% + \ifnum\pgfmathresult=1\relax + \foreach \kci in {#3}{% + \EdgeInGraphMod{\cmdGR@cl@prefix}{#2}{\kci}}% + \else + \foreach \kci in {#3}{% + \pgfmathisfactor{#2}{\kci}% + \ifnum\pgfmathresult=1\relax + \pgfmathsetcounter{tkz@gr@a}{\kci-1} + \edef\tkz@auxctp{\thetkz@gr@a} + \foreach \start in {0,...,\tkz@auxctp}{% + \setcounter{tkz@gr@i}{\start}% + \setcounter{tkz@gr@n}{#2}% + \whiledo{\not\equal{\value{tkz@gr@n}}{\start}}{% + \pgfmathsetcounter{tkz@gr@n}{Mod(\thetkz@gr@i+\kci,#2)} + \Edge(\cmdGR@cl@prefix\thetkz@gr@i)% + (\cmdGR@cl@prefix\thetkz@gr@n)% + \pgfmathsetcounter{tkz@gr@i}{\thetkz@gr@n}% + }% + }% + \else + \EdgeInGraphMod{\cmdGR@cl@prefix}{#2}{\kci} + \fi + }% + \fi +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grPetersenG +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grGeneralizedPetersen}[3][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grCycle[#1]{#2} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \edef\tkzb@pptemp{\cmdGR@cl@prefixx} + \edef\tkzb@ptemp{\cmdGR@cl@prefix} + \grCirculant[#1,RA=\tkzb@rtemp,prefix=\tkzb@pptemp]{#2}{#3} + \EdgeIdentity{\tkzb@ptemp}{\cmdGR@cl@prefixx}{#2} +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grPetersen +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grStartwo}[2][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \pgfmathsetcounter{tkz@gr@e}{3*#2-2} + \pgfmathsetcounter{tkz@gr@a}{3*#2-1} + \grEmptyCycle[#1]{\thetkz@gr@a} + \EdgeInGraphMod{\cmdGR@cl@prefix}{\thetkz@gr@a}{#2}% +\endgroup% +} + +\newcommand*{\grPetersen}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \ifcase\cmdGR@cl@form + \or + \grCycle[#1]{5}% + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \grStartwo[#1,RA=\tkzb@rtemp,prefix=\tkzb@ptemp]{2} + \EdgeIdentity{\cmdGR@cl@prefix}{\cmdGR@cl@prefixx}{5} + \or + \grCycle[#1]{6} + \begin{scope}[rotate=30] + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \grStar[#1,RA=\tkzb@rtemp,prefix=\tkzb@ptemp]{4} + \end{scope} + \setcounter{tkz@gr@a}{2} + \foreach \V@x in {0,...,5}{% + \ifthenelse{\equal{\thetkz@gr@a}{-1}}{% + \setcounter{tkz@gr@a}{2}}{% + }% + \Edge(\cmdGR@cl@prefix\V@x)(\cmdGR@cl@prefixx\thetkz@gr@a) + \addtocounter{tkz@gr@a}{-1}% + }% + \or + \grEmptyStar[#1]{10} + \EdgeInGraphLoop{\cmdGR@cl@prefix}{9} + \EdgeInGraphMod*{\cmdGR@cl@prefix}{9}{4}{0}{3} + \foreach \V@x in {2,5,8}{% + \Edge(\cmdGR@cl@prefix\V@x)(\cmdGR@cl@prefix 9)}% + \fi +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grPlatonic +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grTetrahedral}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \begin{scope}[rotate=90] + \grWheel[#1]{4}% + \end{scope} +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grOctahedral +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grOctahedral}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grComplete[#1]{3}% + \begin{scope}[rotate=-60] + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \grComplete[#1,RA=\tkzb@rtemp,prefix=\tkzb@ptemp]{3}% + \end{scope} + \EdgeIdentity{\cmdGR@cl@prefix}{\cmdGR@cl@prefixx}{3} + \EdgeMod{\cmdGR@cl@prefix}{\cmdGR@cl@prefixx}{3}{1} +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grCubicalGraph +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grCubicalGraph}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grCycle[#1]{4} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \grCycle[#1,RA=\tkzb@rtemp,prefix=\tkzb@ptemp]{4} + \ifcase\cmdGR@cl@form + \or + \EdgeIdentity{\cmdGR@cl@prefix}{\cmdGR@cl@prefixx}{4} + \or + \EdgeMod*{\cmdGR@cl@prefix}{\cmdGR@cl@prefixx}{4}{1}{2} + \EdgeMod*{\cmdGR@cl@prefixx}{\cmdGR@cl@prefix}{4}{1}{2} + \fi +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grIcosahedral +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grIcosahedral}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \ifcase\cmdGR@cl@form + \or + \grCycle[#1]{6}% + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \grCirculant[RA=\tkzb@rtemp,prefix=\tkzb@ptemp]{6}{2} + \EdgeIdentity{\cmdGR@cl@prefix}{\cmdGR@cl@prefixx}{6} + \EdgeMod{\cmdGR@cl@prefixx}{\cmdGR@cl@prefix}{6}{1} + \EdgeMod{\cmdGR@cl@prefixx}{\cmdGR@cl@prefix}{6}{-1} + \or + \grCycle[#1]{3} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \grCycle[RA=\tkzb@rtemp,prefix=\tkzb@ptemp]{6}% + \begin{scope}[rotate=60] + \edef\tkzb@rtemp{\cmdGR@cl@RC} + \edef\tkzb@ptemp{\cmdGR@cl@prefixxx} + \grCycle[RA=\tkzb@rtemp,prefix=\tkzb@ptemp]{3}% + \end{scope} + \setcounter{tkz@gr@a}{2} + \foreach \st in {5,0,1}{% + \foreach \v in {0,1,2}{% + \pgfmathsetcounter{tkz@gr@n}{Mod((\thetkz@gr@a*\v)+\st,6)}% + \Edge(\cmdGR@cl@prefix\v)(\cmdGR@cl@prefixx\thetkz@gr@n) + }% + }% + \setcounter{tkz@gr@a}{2} + \foreach \v in {0,1,2}{% + \foreach \st in {0,1,2}{% + \pgfmathsetcounter{tkz@gr@n}{Mod(\thetkz@gr@a*\v+\st,6)}% + \Edge(\cmdGR@cl@prefixxx\v)(\cmdGR@cl@prefixx\thetkz@gr@n) + }% + }% + \fi +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grDodecahedral +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grDodecahedral}[1][]{% +\begingroup% +\setkeys[GR]{cl}{#1}% + \ifcase\cmdGR@cl@form + \or + \grCycle[#1]{10} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \grCirculant[RA=\tkzb@rtemp,prefix=\tkzb@ptemp]{10}{2} + \EdgeIdentity{\cmdGR@cl@prefix}{\cmdGR@cl@prefixx}{10} + \or + \grCycle[#1]{5} + \begin{scope}[rotate=36] + \edef\tkzb@rtemp{\cmdGR@cl@RC} + \edef\tkzb@ptemp{\cmdGR@cl@prefixxx} + \grEmptyCycle[RA=\tkzb@rtemp,prefix=\tkzb@ptemp]{5} + \end{scope} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \grEmptyCycle[RA=\tkzb@rtemp,prefix=\tkzb@ptemp]{5} + \begin{scope}[rotate=36] + \edef\tkzb@rtemp{\cmdGR@cl@RD} + \edef\tkzb@ptemp{\cmdGR@cl@prefixxxx} + \grCycle[RA=\tkzb@rtemp,prefix=\tkzb@ptemp]{5}% + \end{scope} + \EdgeIdentity{\cmdGR@cl@prefix}{\cmdGR@cl@prefixx}{5} + \EdgeIdentity{\cmdGR@cl@prefixxx}{\cmdGR@cl@prefixxxx}{5} + \EdgeIdentity{\cmdGR@cl@prefixx}{\cmdGR@cl@prefixxx}{5} + \EdgeMod{\cmdGR@cl@prefixx}{\cmdGR@cl@prefixxx}{5}{-1} + \or + \grCycle[#1]{5} + \begin{scope}[rotate=36] + \edef\tkzb@rtemp{\cmdGR@cl@RC} + \edef\tkzb@ptemp{\cmdGR@cl@prefixxx} + \grEmptyCycle[RA=\tkzb@rtemp,prefix=\tkzb@ptemp]{5} + \end{scope} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \grCycle[RA=\tkzb@rtemp,prefix=\tkzb@ptemp]{10} + \EdgeInGraphLoop{\cmdGR@cl@prefixxx}{5} + \EdgeDoubleMod{\cmdGR@cl@prefix}{5}{0}{1}% + {\cmdGR@cl@prefixx}{10}{0}{2}{5} + \EdgeDoubleMod{\cmdGR@cl@prefixxx}{5}{0}{1}% + {\cmdGR@cl@prefixx}{10}{1}{2}{5} + \or + \grLCF[#1]{10,7,4,-4,-7,10,-4,7,-7,4}{2} + \or + \grCycle[#1]{10} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \grEmptyCycle[RA=\tkzb@rtemp,prefix=\tkzb@ptemp]{6} + \begin{scope}[rotate=45] + \edef\tkzb@rtemp{\cmdGR@cl@RC} + \edef\tkzb@ptemp{\cmdGR@cl@prefixxx} + \grEmptyCycle[RA=\tkzb@rtemp,prefix=\tkzb@ptemp]{4}% + \end{scope} + \setcounter{tkz@gr@a}{0} + \foreach \v in {1,4,6,9}{% + \Edge(\cmdGR@cl@prefix\v)(\cmdGR@cl@prefixxx\thetkz@gr@a) + \stepcounter{tkz@gr@a} + }% + \setcounter{tkz@gr@a}{0} + \foreach \v in {2,1,5,4}{% + \Edge(\cmdGR@cl@prefixx\v)(\cmdGR@cl@prefixxx\thetkz@gr@a) + \stepcounter{tkz@gr@a} + }% + \setcounter{tkz@gr@a}{0} + \foreach \v in {0,2,3,5,7,8}{% + \Edge(\cmdGR@cl@prefix\v)(\cmdGR@cl@prefixx\thetkz@gr@a) + \stepcounter{tkz@gr@a} + }% + \Edge(\cmdGR@cl@prefixxx0)(\cmdGR@cl@prefixxx3) + \Edge(\cmdGR@cl@prefixxx1)(\cmdGR@cl@prefixxx2) + \Edge(\cmdGR@cl@prefixx0)(\cmdGR@cl@prefixx1) + \Edge(\cmdGR@cl@prefixx0)(\cmdGR@cl@prefixx5) + \Edge(\cmdGR@cl@prefixx3)(\cmdGR@cl@prefixx2) + \Edge(\cmdGR@cl@prefixx3)(\cmdGR@cl@prefixx4) +\fi +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grMobiusKantor +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grMobiusKantor}[1][]{% #1 options #2 ordre du graphe +\begingroup% + \setkeys[GR]{cl}{#1} + \ifcase\cmdGR@cl@form + \or + \grCycle[#1]{16} + \EdgeInGraphMod*{\cmdGR@cl@prefix}{16}{5}{0}{2} + \or + \grCycle[#1]{8} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \grCirculant[RA=\tkzb@rtemp,prefix=\tkzb@ptemp]{8}{3} + \EdgeIdentity{\cmdGR@cl@prefix}{\cmdGR@cl@prefixx}{8} + \or + \grCirculant[#1]{8}{3} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \grCycle[#1,RA=\tkzb@rtemp,prefix=\tkzb@ptemp]{8} + \EdgeIdentity{\cmdGR@cl@prefix}{\cmdGR@cl@prefixx}{8} + \fi +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grMoebiusLadder +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grMobiusLadder}[2][]{% +\begingroup% + \setkeys[GR]{cl}{#1} + \grEmptyCycle[#1]{#2} + \pgfmathsetcounter{tkz@gr@p}{#2-1} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \grEmptyCycle[RA=\tkzb@rtemp,prefix=\tkzb@ptemp]{#2}% + \EdgeIdentity{\cmdGR@cl@prefix}{\cmdGR@cl@prefixx}{#2} + \EdgeInGraphLoop*{\cmdGR@cl@prefix}{#2} + \EdgeInGraphLoop*{\cmdGR@cl@prefixx}{#2} + \Edge(\cmdGR@cl@prefix0)(\cmdGR@cl@prefixx\thetkz@gr@p) + \Edge(\cmdGR@cl@prefixx0)(\cmdGR@cl@prefix\thetkz@gr@p) +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grCocktailParty +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grCocktailParty}[2][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \pgfmathsetcounter{tkz@gr@p}{#2-1} + \grPath[#1,RS=0]{#2} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \edef\tkzb@rtemp{\cmdGR@cl@RS} + \grPath[#1,prefix=\tkzb@ptemp,RS=\tkzb@rtemp]{#2} + \edef\tkz@auxctp{\thetkz@gr@p} + \foreach \cpx in {0,...,\tkz@auxctp}{% + \EdgeFromOneToComp{\cmdGR@cl@prefix}{\cmdGR@cl@prefixx}{\cpx}{#2} + } +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grCrown +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grCrown}[2][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \pgfmathsetcounter{tkz@gr@p}{#2-1} + \grEmptyPath[#1,RS=0]{#2} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \edef\tkzb@rtemp{\cmdGR@cl@RS} + \grEmptyPath[#1,prefix=\tkzb@ptemp,RS=\tkzb@rtemp]{#2} + \edef\tkz@auxctp{\thetkz@gr@p} + \foreach \cpx in {0,...,\thetkz@gr@p}{% + \EdgeFromOneToComp{\cmdGR@cl@prefix}{\cmdGR@cl@prefixx}{\cpx}{#2} + } +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grMcGee +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grMcGee}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grLCF[#1]{-12,7,-7}{8} +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grRobertson +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grRobertson}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grLCF[#1]{8,4,7,4,8,5,7,4,7,8,4,5,7,8,4,8,4,8,4}{1} +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grRobertsonWegner +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grRobertsonWegner}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grLCF[#1]{6,12}{15} + \EdgeInGraphMod{\cmdGR@cl@prefix}{30}{9}{1}{6} + \EdgeInGraphMod*{\cmdGR@cl@prefix}{30}{15}{2}{6} + \EdgeInGraphMod*{\cmdGR@cl@prefix}{30}{9}{3}{6} +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grDoyle +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grDoyle}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \ifcase\cmdGR@cl@form + \or + \grCycle[#1]{9} + \begin{scope}[rotate=18] + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \grCirculant[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{9}{2} + \end{scope} + \EdgeMod{\cmdGR@cl@prefixx}{\cmdGR@cl@prefix}{9}{1} + \edef\tkzb@ptemp{\cmdGR@cl@prefixxx} + \edef\tkzb@rtemp{\cmdGR@cl@RC} + \grCirculant[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{9}{4} + \EdgeIdentity{\cmdGR@cl@prefix}{\cmdGR@cl@prefixxx}{9} + \EdgeMod{\cmdGR@cl@prefixx}{\cmdGR@cl@prefixxx}{9}{1} + \or + \grCycle[#1]{27} + \EdgeDoubleMod{\cmdGR@cl@prefix}{27}{0}{3} + {\cmdGR@cl@prefix}{27}{13}{3}{9} + \EdgeDoubleMod{\cmdGR@cl@prefix}{27}{1}{3} + {\cmdGR@cl@prefix}{27}{5}{3}{9} + \EdgeDoubleMod{\cmdGR@cl@prefix}{27}{0}{3} + {\cmdGR@cl@prefix}{27}{20}{3}{9} + \or + \grCycle[#1]{27} + \EdgeDoubleMod{\cmdGR@cl@prefix}{27}{17}{1} + {\cmdGR@cl@prefix}{27}{10}{-2}{4} + \EdgeDoubleMod{\cmdGR@cl@prefix}{27}{26}{1} + {\cmdGR@cl@prefix}{27}{19}{-2}{4} + \EdgeDoubleMod{\cmdGR@cl@prefix}{27}{8}{1} + {\cmdGR@cl@prefix}{27}{1}{-2}{4} + \EdgeDoubleMod{\cmdGR@cl@prefix}{27}{4}{1} + {\cmdGR@cl@prefix}{27}{27}{-2}{3} + \EdgeDoubleMod{\cmdGR@cl@prefix}{27}{8}{1} + {\cmdGR@cl@prefix}{27}{1}{-2}{4} + \EdgeDoubleMod{\cmdGR@cl@prefix}{27}{14}{1} + {\cmdGR@cl@prefix}{27}{7}{-2}{2} + \EdgeDoubleMod{\cmdGR@cl@prefix}{27}{23}{1} + {\cmdGR@cl@prefix}{27}{16}{-2}{2} + \Edge(\cmdGR@cl@prefix9)(\cmdGR@cl@prefix13)% + \Edge(\cmdGR@cl@prefix18)(\cmdGR@cl@prefix22)% + \fi +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grDesargues +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grDesargues}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \ifcase\cmdGR@cl@form + \or + \grLCF[#1]{5,-5,9,-9}{5} + \or + \grGeneralizedPetersen[#1]{10}{3} + \fi +\endgroup% +} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grKonisberg +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% #1 prefix #2 indice #2 prefix #3 indice choisie entre #4 et #5 ... +\newcommand{\grKonisberg}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grCycle[#1]{4} + \Edge[style={bend left}](\cmdGR@cl@prefix1)(\cmdGR@cl@prefix2) + \Edge[style={bend left}](\cmdGR@cl@prefix2)(\cmdGR@cl@prefix3) + \Edge(\cmdGR@cl@prefix0)(\cmdGR@cl@prefix2) +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grWong +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\newcommand{\grWong}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grLCF[#1]{8,4,12,4,8,4}{5} + \EdgeInGraphMod*{\cmdGR@cl@prefix}{30}{15}{0}{3} + \EdgeInGraphMod*{\cmdGR@cl@prefix}{30}{16}{1}{6} + \EdgeInGraphMod*{\cmdGR@cl@prefix}{30}{18}{4}{6} +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grTutte +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\newcommand{\grTutteCoxeter}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grLCF[#1]{-13,-9,7,-7,9,13}{5} +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grFoster +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\newcommand{\grFoster}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grLCF[#1]{17,-9,37,-37,9,-17}{15} +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grFolkman +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\newcommand{\grFolkman}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grLCF[#1]{5,-7,-7,5}{5} +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grFranklin +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\newcommand{\grFranklin}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grLCF[#1]{5,-5}{6} +\endgroup% +} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grNauru +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\newcommand{\grNauru}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grLCF[#1]{5, −9, 7, −7, 9, −5}{4} +\endgroup% +} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grDick +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\newcommand{\grDick}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grLCF[#1]{5,-5,13,-13}{8} +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grHarries +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\newcommand{\grHarries}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \grLCF[#1]{-29,-19,-13,13,21,-27,27,33,-13,13,19,-21,-33,29}{5} +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grAndrasfai +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcounter{tkza@tmp} + \newcommand*{\grAndrasfai}[2][]{% + \begingroup + \setkeys[GR]{cl}{#1}% + \pgfmathsetcounter{tkz@bg@cnt}{3*#2-1} + \grEmptyCycle[#1]{\thetkz@bg@cnt} + \pgfmathsetcounter{tkza@tmp}{\thetkz@bg@cnt/2} + \pgfmathsetcounter{tkza@tmp}{\thetkz@bg@cnt+1} + \pgfmathsetcounter{tkz@gr@p}{1} + \whiledo{\value{tkz@gr@p} < \value{tkza@tmp}}{% + \EdgeInGraphMod*{\cmdGR@cl@prefix}{\thetkz@bg@cnt}{\thetkz@gr@p}{0}{1} + \pgfmathsetcounter{tkz@gr@p}{\thetkz@gr@p+3} + } +\endgroup +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grGrotzsch +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grGrotzsch}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \ifcase\cmdGR@cl@form + \or + \begin{scope}[rotate=18]% + \grStar[#1]{6}% + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \grCycle[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{5}% + \Edges(\cmdGR@cl@prefix0,\cmdGR@cl@prefixx1,% + \cmdGR@cl@prefix2,\cmdGR@cl@prefixx3,% + \cmdGR@cl@prefix4,\cmdGR@cl@prefixx0,% + \cmdGR@cl@prefix1,\cmdGR@cl@prefixx2,% + \cmdGR@cl@prefix3,\cmdGR@cl@prefixx4,\cmdGR@cl@prefix0) + \end{scope} + \or + \begin{scope}[rotate=18]% + \grStar[#1]{6}% + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \begin{scope}[rotate=-36]% + \grCirculant[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{5}{2}% + \end{scope} + \EdgeDoubleMod{a}{5}{0}{1}% + {b}{5}{1}{1}{4} + \EdgeIdentity{a}{b}{5} + \end{scope} +\fi +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grLevi +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grLevi}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \ifcase\cmdGR@cl@form + \or + \grLCF[#1]{-13,-9,7,-7,9,13}{5} + \or + \grCycle[#1]{10} + \EdgeInGraphMod{\cmdGR@cl@prefix}{10}{5} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \grEmptyCycle[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{10} + \edef\tkzb@ptemp{\cmdGR@cl@prefixxx} + \edef\tkzb@rtemp{\cmdGR@cl@RC} + \grEmptyCycle[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{10} + \EdgeInGraphMod{\cmdGR@cl@prefixxx}{10}{4} +\fi +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grPappus +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grPappus}[1][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \ifcase\cmdGR@cl@form +\or + \grLCF[#1]{5,7,-7,7,-7,-5}{3} +\or + \begin{scope}[rotate=30]% + \grCycle[#1]{6} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \grCycle[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{6} + \edef\tkzb@ptemp{\cmdGR@cl@prefixxx} + \edef\tkzb@rtemp{\cmdGR@cl@RC} + \grCycle[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{6} + \EdgeDoubleMod{\cmdGR@cl@prefixxx}{6}{0}{2}% + {\cmdGR@cl@prefixx}{6}{5}{2}{2} + \EdgeDoubleMod{\cmdGR@cl@prefixxx}{6}{5}{2}% + {\cmdGR@cl@prefix}{6}{1}{2}{2} + \EdgeDoubleMod{\cmdGR@cl@prefixx}{6}{0}{2}% + {\cmdGR@cl@prefix}{6}{0}{2}{2} +\end{scope} +\or + \begin{scope}[rotate=30] + \grCycle[#1]{6} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \grCirculant[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{6}{2} + \edef\tkzb@ptemp{\cmdGR@cl@prefixxx} + \edef\tkzb@rtemp{\cmdGR@cl@RC} + \grEmptyCycle[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{6} + \EdgeIdentity{\cmdGR@cl@prefixx}{\cmdGR@cl@prefix}{6} + \EdgeInGraphMod{\cmdGR@cl@prefixxx}{6}{3} +\end{scope} +\fi +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grChvatal +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grChvatal}[1][]{% +\begingroup% +\setkeys[GR]{cl}{#1}% +\ifcase\cmdGR@cl@form +\or + \begin{scope}[rotate=45] + \grCycle[#1]{4} + \end{scope} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \begin{scope}[rotate=22.25] + \grEmptyCycle[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{8} + \end{scope} + \EdgeInGraphMod{\cmdGR@cl@prefixx}{8}{4} + \EdgeInGraphMod*{\cmdGR@cl@prefixx}{8}{1}{1}{2} + \EdgeInGraphMod*{\cmdGR@cl@prefixx}{8}{3}{1}{2} + \EdgeDoubleMod{\cmdGR@cl@prefix}{4}{0}{1}% + {\cmdGR@cl@prefixx}{8}{1}{2}{3} + \EdgeDoubleMod{\cmdGR@cl@prefix}{4}{0}{1}% + {\cmdGR@cl@prefixx}{8}{0}{2}{3} +\or + \begin{scope}[rotate=18] + \grCycle[#1]{5} + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \grEmptyCycle[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{5} + \end{scope} + \edef\tkzb@ptemp{\cmdGR@cl@prefixxx} + \edef\tkzb@rtemp{\cmdGR@cl@RC} + \grEmptyCycle[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{2} + \EdgeDoubleMod{\cmdGR@cl@prefix}{5}{0}{1}% + {\cmdGR@cl@prefixx}{5}{1}{1}{4} + \EdgeDoubleMod{\cmdGR@cl@prefix}{5}{0}{1}% + {\cmdGR@cl@prefixx}{5}{4}{1}{4} + \EdgeFromOneToSel{\cmdGR@cl@prefixxx}{\cmdGR@cl@prefixx}{0}{4,0,1} + \EdgeFromOneToSel{\cmdGR@cl@prefixxx}{\cmdGR@cl@prefixx}{1}{1,2,3} + \Edge(\cmdGR@cl@prefixx3)(\cmdGR@cl@prefixx4) + \Edge(\cmdGR@cl@prefixx0)(\cmdGR@cl@prefixxx1) + \Edge(\cmdGR@cl@prefixx2)(\cmdGR@cl@prefixxx0) +\or + \grCycle[#1]{12} + \Edges(\cmdGR@cl@prefix0,\cmdGR@cl@prefix6,\cmdGR@cl@prefix3,% + \cmdGR@cl@prefix8,\cmdGR@cl@prefix11,\cmdGR@cl@prefix5,% + \cmdGR@cl@prefix2,\cmdGR@cl@prefix9,\cmdGR@cl@prefix0) + \Edges(\cmdGR@cl@prefix1,\cmdGR@cl@prefix7,\cmdGR@cl@prefix10,% + \cmdGR@cl@prefix4,\cmdGR@cl@prefix1) +\fi +\endgroup% +} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grBalaban +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\newcommand*{\grBalaban}[1][]{% +\begingroup% +\setkeys[GR]{cl}{#1}% +\ifcase\cmdGR@cl@form +\or + \grCycle[#1]{50} + \EdgeInGraphMod*{\cmdGR@cl@prefix}{50}{9}{3}{5} + \EdgeInGraphMod*{\cmdGR@cl@prefix}{50}{25}{0}{5} + \begin{scope}[rotate=12] + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \grCirculant[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{10}{3} + \end{scope} + \begin{scope}[rotate=24] + \edef\tkzb@ptemp{\cmdGR@cl@prefixxx} + \edef\tkzb@rtemp{\cmdGR@cl@RC} + \grCirculant[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{10}{3} + \end{scope} + \EdgeDoubleMod{\cmdGR@cl@prefix}{50}{1}{5}% + {\cmdGR@cl@prefixx}{10}{0}{1}{10} + \EdgeDoubleMod{\cmdGR@cl@prefix}{50}{4}{5}% + {\cmdGR@cl@prefixxx}{10}{0}{1}{10} +\or + \begin{scope}[rotate=9] + \grCycle[#1]{10} + \end{scope} + \begin{scope}[rotate=-9] + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \grCycle[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{10} + \end{scope} + \begin{scope}[rotate=6] + \edef\tkzb@ptemp{\cmdGR@cl@prefixxx} + \edef\tkzb@rtemp{\cmdGR@cl@RC} + \grEmptyCycle[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{30} + \EdgeInGraphMod*{\cmdGR@cl@prefixxx}{30}{1}{0}{3} + \EdgeInGraphMod*{\cmdGR@cl@prefixxx}{30}{1}{1}{3} + \EdgeInGraphMod*{\cmdGR@cl@prefixxx}{30}{15}{1}{3} + \end{scope} + \begin{scope}[rotate=9] + \edef\tkzb@ptemp{\cmdGR@cl@prefixxxx} + \edef\tkzb@rtemp{\cmdGR@cl@RD} + \grEmptyCycle[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{20} + \EdgeInGraphMod*{\cmdGR@cl@prefixxxx}{20}{7}{0}{2} + \EdgeInGraphMod*{\cmdGR@cl@prefixxxx}{20}{5}{1}{2} + \end{scope} + \EdgeDoubleMod{\cmdGR@cl@prefix}{10}{0}{1} + {\cmdGR@cl@prefixxx}{30}{0}{3}{9} + \EdgeDoubleMod{\cmdGR@cl@prefixx}{10}{0}{1}% + {\cmdGR@cl@prefixxx}{30}{29}{3}{9} + \EdgeDoubleMod{\cmdGR@cl@prefixxx}{30}{0}{3}% + {\cmdGR@cl@prefixxxx}{20}{0}{2}{9} + \EdgeDoubleMod{\cmdGR@cl@prefixxx}{30}{2}{3}% + {\cmdGR@cl@prefixxxx}{20}{1}{2}{9} +\or +\grEmptyCycle[#1]{10} +\begin{scope}[rotate=9] + \edef\tkzb@ptemp{\cmdGR@cl@prefixx} + \edef\tkzb@rtemp{\cmdGR@cl@RB} + \grEmptyCycle[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{20} +\end{scope} +\begin{scope}[rotate=13] + \edef\tkzb@ptemp{\cmdGR@cl@prefixxx} + \edef\tkzb@rtemp{\cmdGR@cl@RC} + \grEmptyCycle[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{10} +\end{scope} +\begin{scope}[rotate=-13] + \edef\tkzb@ptemp{\cmdGR@cl@prefixxxx} + \edef\tkzb@rtemp{\cmdGR@cl@RD} + \grEmptyCycle[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{10} +\end{scope} +\begin{scope}[rotate=9] + \edef\tkzb@ptemp{\cmdGR@cl@prefixxxxx} + \edef\tkzb@rtemp{\cmdGR@cl@RE} + \grCirculant[#1,prefix=\tkzb@ptemp,RA=\tkzb@rtemp]{20}{6} +\end{scope} + \EdgeIdentity{\cmdGR@cl@prefixx}{\cmdGR@cl@prefixxxxx}{20} + \EdgeDoubleMod{\cmdGR@cl@prefix}{10}{0}{1}% + {\cmdGR@cl@prefixx}{20}{0}{2}{10} + \EdgeDoubleMod{\cmdGR@cl@prefix}{10}{0}{1}% + {\cmdGR@cl@prefixx}{20}{19}{2}{10} + \EdgeInGraphMod{\cmdGR@cl@prefix}{10}{5} + \EdgeDoubleMod{\cmdGR@cl@prefixxx}{10}{0}{1}% + {\cmdGR@cl@prefixx}{20}{0}{2}{10} + \EdgeDoubleMod{\cmdGR@cl@prefixxxx}{10}{0}{1}% + {\cmdGR@cl@prefixx}{20}{19}{2}{10} + \EdgeDoubleMod{\cmdGR@cl@prefixxxx}{10}{0}{1}% + {\cmdGR@cl@prefixxx}{10}{1}{1}{10} + \EdgeDoubleMod{\cmdGR@cl@prefixxxx}{10}{1}{1}% + {\cmdGR@cl@prefixxx}{10}{0}{1}{10} +\fi +\endgroup% +} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% Labels +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +% #2 label/prefix/num +\define@cmdkey [GR] {WL} {color}[black]{} +\define@cmdkey [GR] {WL} {labelstyle}{} +\define@cmdkey [GR] {WL} {size}{} +\define@cmdkey [GR] {WL} {style}{} +\presetkeys [GR] {WL} {color = black,% + labelstyle = {},% + size = {},% + style = {}}{} +\newcommand{\grWriteExplicitLabels}[2][]{% +\begingroup% + \setkeys[GR]{WL}{#1}% + \foreach \text/\where in {#2}{% + \node at (\where) {\text}; + }% +\endgroup% +} +\newcommand{\grWriteExplicitLabel}[2][]{% +\begingroup% + \setkeys[GR]{cl}{#1}% + \node at (\where) {\text}; +\endgroup% +}% +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% AssignVertexLabel +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\tikzset{AssignStyle/.style={}} +\define@cmdkey [GR] {AVL} {color}{} +\define@cmdkey [GR] {AVL} {size}{} +\define@cmdkey [GR] {AVL} {mathsize}{} +\define@boolkey[GR] {AVL} {Math}[true]{} +\presetkeys [GR] {AVL} {size = \normalsize,% + mathsize = \displaystyle,% + color = black,% + Math = false}{} \newcommand*{\AssignVertexLabel}[3][]{% +\begingroup% + \setkeys[GR]{AVL}{#1} + \foreach \name [count=\xi from 0] in {#3}{% + \ifGR@AVL@Math% + \node at (#2\xi) + {$\textcolor{\cmdGR@AVL@color}{\cmdGR@AVL@mathsize\name}$}; + \else + \node[AssignStyle] at (#2\xi) + {\textcolor{\cmdGR@AVL@color}{\cmdGR@AVL@size\name}}; + \fi} + +\endgroup% +} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% grEdgeForTree +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% #1 prefix #2 indice #2 prefix #3 indice choisie entre #4 et #5 ... +\newcommand{\grEdgeForTree}[5]{% +\begingroup% + \foreach \V@x in {#4,...,#5}{% + \Edge(#1#2)(#3\V@x)% + }% +\endgroup% +} + +\newcommand{\grSubtreeOfCage}[3][]{% + \begingroup + \setkeys[GR]{cl}{#1}% + \edef\tkzb@rtemp{\cmdGR@cl@RA} + \edef\tkzb@rtempx{\cmdGR@cl@RB} + \edef\tkzb@ptemp{\cmdGR@cl@prefix} + \ifthenelse{\isodd{#3}}% + % odd girth + {% + \pgfmathsetcounter{tkz@gr@a}{(#3-3)/2} + \Vertex{\cmdGR@cl@prefix 0\grLabelSep 0} + \edef\tkz@auxctp{\thetkz@gr@a} + \foreach \V@x in {0,...,\tkz@auxctp}{% + \pgfmathsetcounter{tkz@gr@b}{#2*((#2-1)^\V@x)}% + \pgfmathsetmacro{\sep@path}{\tkzb@rtemp/((#2-1)^\V@x)}% + \pgfmathsetmacro{\y@h}{\tkzb@rtempx*(\V@x+1)}% + \pgfmathsetcounter{tkz@gr@c}{\V@x+1}% + \grEmptyPath[% + prefix=\tkzb@ptemp\thetkz@gr@c\grLabelSep, + form=2, + RA=\sep@path, + x=0, + y=\y@h]{\thetkz@gr@b}% + }% + % edges from the root of the tree + \EdgeFromOneToAll{\tkzb@ptemp0\grLabelSep}% + {\tkzb@ptemp1\grLabelSep}{0}{#2} + % ca = levels from where extra edges emerge + % cb = edges per vertex + \pgfmathsetcounter{tkz@gr@a}{\thetkz@gr@a-1} +\edef\tkz@auxctpa{\thetkz@gr@a} + \foreach \V@y in {0,...,\tkz@auxctpa}{% + \pgfmathsetcounter{tkz@gr@b}{#2*(#2-1)^\V@y-1} +\edef\tkz@auxctpb{\thetkz@gr@b} + \foreach \a in {0,...,\tkz@auxctpb}{% + \pgfmathsetcounter{tkz@gr@c}{\a*(#2-1)}% + \pgfmathsetcounter{tkz@gr@d}{\a*(#2-1)+(#2-2)}% + \pgfmathsetcounter{tkz@gr@ta}{\V@y+1} + \pgfmathsetcounter{tkz@gr@tb}{\V@y+2} + \EdgeFromOneToSeq{\tkzb@ptemp\thetkz@gr@ta\grLabelSep}% + {\tkzb@ptemp\thetkz@gr@tb\grLabelSep}{\a}% + {\thetkz@gr@c}{\thetkz@gr@d} + }% + }% + }% + % even girth + {% + \pgfmathsetcounter{tkz@gr@a}{(#3-2)/2} + \foreach \V@x in {0,...,\thetkz@gr@a}{% + \pgfmathsetcounter{tkz@gr@b}{2*((#2-1)^\V@x)}% + \pgfmathsetmacro{\sep@path}{\tkzb@rtemp/((#2-1)^\V@x)}% + \pgfmathsetmacro{\y@h}{\tkzb@rtempx*\V@x}% + \pgfmathsetcounter{tkz@gr@c}{\V@x}% + \grEmptyPath[% + prefix=\tkzb@ptemp\thetkz@gr@c\grLabelSep, + form=2, + RA=\sep@path, + x=0, + y=\y@h]{\thetkz@gr@b}% + }% + %%%%% + \Edge% + (\tkzb@ptemp0\grLabelSep0)% + (\tkzb@ptemp0\grLabelSep1) + %%%% + \pgfmathsetcounter{tkz@gr@a}{\thetkz@gr@a-1} + \foreach \V@y in {0,...,\thetkz@gr@a}{% + \pgfmathsetcounter{tkz@gr@b}{2*(#2-1)^\V@y-1} + \foreach \a in {0,...,\thetkz@gr@b}{% + \pgfmathsetcounter{tkz@gr@c}{\a*(#2-1)}% + \pgfmathsetcounter{tkz@gr@d}{\a*(#2-1)+(#2-2)}% + \pgfmathsetcounter{tkz@gr@ta}{\V@y} + \pgfmathsetcounter{tkz@gr@tb}{\V@y+1} + \EdgeFromOneToSeq{\tkzb@ptemp\thetkz@gr@ta\grLabelSep}% + {\tkzb@ptemp\thetkz@gr@tb\grLabelSep}{\a}% + {\thetkz@gr@c}{\thetkz@gr@d} + }% + }% + }% + \endgroup +} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% The End +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\catcode`\@=\tkzAtCode\relax +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/readme-tkz-berge.txt b/obsolete/macros/latex/contrib/tkz/tkz-berge/readme-tkz-berge.txt new file mode 100644 index 0000000000..646389f207 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/readme-tkz-berge.txt @@ -0,0 +1,87 @@ +% encodage utf8 +-------------------- english readme ---------------------------------------- +readme-tkz-berge.txt V 1.00 c 02/06/2011 + +Important : tkz-berge.sty needs tkz-graph.sty, tkz-arith.sty and tkz-tools-arith.tex. This last file is a pat of tkz-base. + +The package tkz-berge.sty is a collection of some useful macros if you want to + draw some classic graphs of the graph theory or to make others graphs. +The macros are designed to give math teachers (and students) easy access +at the programmation of drawing graphswith TikZ. I therefore hope that my + packages provide ideal tools for teachers wanting to offer their students fine documents of maths. +Some of graphs have names, sometimes inspired by the graph's topology, +and sometimes after their discoverer. + +Licence +------- + +This program can be redistributed and/or modified under the terms +of the LaTeX Project Public License Distributed from CTAN +archives in directory macros/latex/base/lppl.txt. + + +Features +-------- + + -- needs etex; + -- requires and automatically loads PGF/TikZ 2.1; + -- compiles with utf8, pdflatex; + -- compiles using the chain dvi->dvips->ps2pdf; + -- not yet ready for use with TeX and ConText (I need more time and ideas). + +Installation +------------ + +You can experiment with the tkz-graph package by placing all of the +distribution files in the directory containing your current tex file. + +You can also placing all of the distribution files in the directory : +/texmf/tex/latex/tkz. + + -- tkz-berge.sty + -- tkz-graph.sty + -- tkz-arith.sty this file loads tkz-tools-arith.tex + + Some of the main macros used in the file \tkzname{tkz-tool-arith.tex} are now in the CVS version of PGF. With the next version of PGF, it would be possible to remove the file \tkzname{tkz-tool-arith.tex}. + + +How to use it +------------- + +To use the package tkz-berge, place the following lines in the preamble of + your LaTeX document. + +\usepackage{tkz-berge} + +tkz-berge loads tkz-graph, tkz-tools-arith.tex and TikZ. + +If you use the xcolor package, load that package before tkz-berge to avoid + package conflicts. + +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{amsmath,tkz-berge} + + +Documentation +------------- + +The documentation is in english. +Documentation for tkz-berge is available on my sites: + + http://altermundus.fr (en français) or http://altermundus.com (in english) + Documentation for printing will be ready soon. + +Examples +-------- + + All examples given in documentation will be stored on my sites as standalone + files, ready for compilation. + + + Alain Matthes + 5 rue de Valence + Paris 75005 + + al (dot) ma (at) mac (dot) com + +
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/README b/obsolete/macros/latex/contrib/tkz/tkz-fct/README new file mode 100644 index 0000000000..2b964f04d0 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/README @@ -0,0 +1,80 @@ +%%%%%%%%%%%%%%%%%%%%%% english readme %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +readme-tkz-fct.txt 2020/02/06 version 1.2 c + +tkz-fct.sty uses tkz-base version > 3 to draw graph of functions with a Cartesian + (rectangular) coordinate system. + +Licence +-------------------------- + +This program can be redistributed and/or modified under the terms +of the LaTeX Project Public License Distributed from CTAN +archives in directory macros/latex/base/lppl.txt. + +Features +-------------------------- + -- needs tkz-base, fp.sty and gnuplot; + -- automatically loads the package TikZ; + -- compiles with utf8, pdflatex, lualatex. + + +Installation +------------------------- + +You can experiment with the tkz-fct package by placing all of the distribution + files in the directory containing your current tex file. + +You can also place all of the distribution files in the directory : +/texmf/tex/latex/tkz. + +How to use it +-------------------------- + +To use the package tkz-fct, place the following line in the preamble of your + LaTeX document. + +\usepackage{tkz-fct} +\usepackage[your-language]{babel} +\usepackage[autolanguage]{numprint} + +If you use the xcolor package, load that package before tkz-fct to avoid + package conflicts. + +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{tkz-fct} + +In order to format the numbers correctly, you place the following two lines + +\usepackage[your-language]{babel} +\usepackage[autolanguage]{numprint} + +Documentation +-------------------------- + +Documentation for tkz-fct and tkz-base is available on my site : + + http://altermundus.fr (en français) + + +Examples +--------------------- + +All examples given in documentation will be stored on my site as standalone files, ready for compilation. + +History +-------------------------- + +-- 1.2 Add compatibility with tkz-base > 3.01 + add couverture.tex and tkz-doc.cfg + +-- 1.16 c correction of bugs + now default domain is xmin:xmax and not -5:5. +-- 1.13 first version + +--------------------------------------- + + Alain Matthes + 5 rue de Valence + Paris 75005 + + al (dot) ma (at) mac (dot) com
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/TKZdoc-fct.pdf b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/TKZdoc-fct.pdf Binary files differnew file mode 100644 index 0000000000..6ea875eb16 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/TKZdoc-fct.pdf diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-VDW.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-VDW.tex new file mode 100644 index 0000000000..0f5a4a45ff --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-VDW.tex @@ -0,0 +1,149 @@ + +\subsection{Courbes de \tkzname{Van der Waals}} + +\bigskip +Soient $v$ le volume d'une masse fluide et $p$ sa pression. +$b$ et $k$ sont deux nombres réels strictement positifs. On souhaite étudier une formule exprimant la dépendance de ces variables proposée par Van~der~Waals. +\[ + p(v)= \frac{-3}{v^2} + \dfrac{3k}{v-b} +\] + +définie sur l'intervalle $I=\big]b~;~+\infty\big]$ + +\subsubsection{Tableau de variations} +\begin{center} + + \begin{tkzexample}[] + \begin{tikzpicture} + \tkzTab% + { $v$ /1,% + $g'(v)$ /1,% + $g(v)$ /3% + }% + { $b$ ,% + $3b$ ,% + $+\infty$% + }% + {0,$+$,$0$,$-$,t} + {-/ $0$ /,% + +/$\dfrac{8}{27b}$ /,% + -/ $0$ /}% + \end{tikzpicture} +\end{tkzexample} +\end{center} + + + +\newpage + +\subsubsection{ Première courbe avec $ b=1$} + Quelques courbes pour $r\leq\ v \leq\ 6$ + +\medskip +\begin{center} + \begin{tkzexample}[] + \begin{tikzpicture}[xscale=2,yscale=2.5] + \tkzInit[xmin=0,xmax=6,ymax=0.5,ystep=0.1] + \tkzDrawX[label=$v$] + \tkzDrawY[label=$g(v)$] + \tkzGrid(0,0)(6,0.5) + \tkzFct[color = red,domain =1:6]{(2*(x-1)*(x-1))/(x*x*x)} + \tkzDrawTangentLine[color=blue,draw](3) + \tkzDefPointByFct(1) + \tkzText[draw, fill = brown!30](4,0.1){$g(v)=2\dfrac{(v-1)^2}{v^3}$} + \end{tikzpicture} + \end{tkzexample} +\end{center} + + +\newpage +\subsubsection{ Deuxième courbe $b=1/3$ } + + +\medskip +\begin{center} + \begin{tkzexample}[] + \begin{tikzpicture}[scale=1.2] + \tkzInit[xmin=0,xmax=2,xstep=0.2,ymax=1,ystep=0.1] + \tkzAxeXY + \tkzGrid(0,0)(2,1) + \tkzFct[color = red,domain =1/3:2]{(2*(\x-1./3)*(\x-1./3))/(\x*\x*\x)} + \tkzDrawTangentLine[draw,color=blue,kr=.5,kl=.5](1) + \tkzDefPointByFct(1) + \tkzText[draw,fill = brown!30](1.2,0.3)% + {$g(v)=2\dfrac{\left(v-\dfrac{1}{3}\right)^2}{v^3}$} + \end{tikzpicture} + \end{tkzexample} +\end{center} + + +\newpage +\subsubsection{ Troisième courbe $ b=32/27$ } + + +\medskip +\begin{center} + \begin{tkzexample}[] + \begin{tikzpicture}[scale=1.2] + \tkzInit[xmin=0,xmax=10,ymax=.35,ystep=0.05]; + \tkzAxeXY + \tkzGrid(0,0)(10,.35) + \tkzFct[color = red, + domain =1.185:10]{(2*(\x-32./27)*(\x-32./27))/(\x*\x*\x)} + \tkzDrawTangentLine[draw,color=blue,kr=2,kl=2](3.555) + \tkzText[draw,fill = brown!30](5,0.3)% + {$g(v)=2\dfrac{\left(v-\dfrac{32}{27}\right)^2}{v^3}$} + \end{tikzpicture} + \end{tkzexample} +\end{center} + + \newpage +\subsection{Valeurs critiques} +\subsubsection{Courbes de \tkzname{Van der Walls} } +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + + +\begin{tkzexample}[] +\begin{tikzpicture}[scale=4] + \tkzInit[xmax=3,ymax=2]; + \tkzAxeXY + \tkzGrid(0,0)(3,2) + \tkzFct[color = red,domain =1/3:3]{0.125*(3*\x-1)+0.375*(3*\x-1)/(\x*\x)} + \tkzDefPointByFct[draw](2) + \tkzDefPointByFct[draw](3) + \tkzDrawTangentLine[draw,color=blue](1) + \tkzFct[color = green,domain =1/3:3]{0.125*(3*x-1)} + \tkzSetUpPoint[size=8,fill=orange] + \tkzDefPointByFct[draw](3) + \tkzDefPointByFct[draw](1/3) + \tkzDefPoint(1,1){f} + \tkzDrawPoint(f) + \tkzText[draw,fill = white,text=red](1,1.5)% +{$f(x)=\dfrac{1}{8}(3x-1)+\dfrac{3}{8}\left(\dfrac{3x-1}{x^2}\right)$} +\tkzText[draw,fill = white,text=green](2,0.4){$g(x) = \dfrac{3x-1}{8}$} +\end{tikzpicture} +\end{tkzexample} + +\newpage +\subsubsection{Courbes de \tkzname{Van der Walls} (suite)} + + +\begin{tkzexample}[] +\begin{tikzpicture}[xscale=4,yscale=1.5] + \tkzInit[xmin=0,xmax=3,ymax=3,ymin=-4] + \tkzGrid(0,-4)(3,3) + \tkzAxeXY + \tkzClip + \tkzVLine[color=red,style=dashed]{1/3} + \tkzFct[color=red,domain = 0.35:3]{-3/(x*x) +4/(3*x-1)} + \tkzFct[color=blue,domain = 0.35:3]{-3/(x*x) +27/(4*(3*x-1))} + \tkzFct[color=orange,domain = 0.35:3]{-3/(x*x) +8/(3*x-1)} + \tkzFct[color=green,domain = 0.35:3]{-3/(x*x) +7/(3*x-1)} + \tkzText[draw,fill = white,text=brown](2,-2)% + {$f(x)=-\dfrac{3}{x^2}+\dfrac{8\alpha}{3x-1}$ \hspace{.5cm}% + avec $\alpha \in% + \left\{\dfrac{1}{2}~;~\dfrac{27}{32}~;~\dfrac{7}{8}~;~1\right\}$} +\end{tikzpicture} +\end{tkzexample} + + \endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-area.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-area.tex new file mode 100644 index 0000000000..d5dd91cb0d --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-area.tex @@ -0,0 +1,218 @@ + +\section{Macros pour définir des surfaces } + +Il s'agit par exemple de représenter la partie du plan comprise entre la courbe représentative d'une fonction, l'axe des abscisses et les droites + d'équation $x=a$ et $x=b$. + +\subsection{Représentation d'une surface \tkzcname{tkzDrawArea} ou \tkzcname{tkzArea}} \hypertarget{tda}{} + +\begin{NewMacroBox}{tkzDrawArea}{\oarg{local options}} +Les options sont celles de \TIKZ. + +\begin{tabular}{lll} +\toprule +options & défaut & définition \\ +\midrule +\TOline{domain}{-5:5}{domaine de la fonction} +\TOline{with}{a}{référence de la fonction} +\TOline{color}{200}{nombre de points utilisés} +\TOline{opacity} {no defaut}{trnsparence} +\TOline{style}{black}{couleur de la ligne} +\end{tabular} +\end{NewMacroBox} + +\subsection{Naissance de la fonction logarithme népérien} + +\begin{tkzexample}[] +\begin{tikzpicture}[scale=2] + \tkzInit[xmin=0,xmax=3,xstep=1, + ymin=-2,ymax=2,ystep=1] + \tkzGrid + \tkzAxeXY + \tkzFct[domain= 0.4:3]{1./x} + \tkzDefPointByFct(1) + \tkzGetPoint{A} + \tkzDefPointByFct(2) + \tkzGetPoint{B} + \tkzLabelPoints[above right](A,B) + \tkzDrawArea[color=blue!30, + domain = 1:2] + \tkzFct[domain = 0.5:3]{log(x)} + \tkzDrawArea[color=red!30, + domain = 1:2] + \tkzPointShowCoord(A) + \tkzPointShowCoord(B) + \tkzDrawPoints(A,B) +\end{tikzpicture} +\end{tkzexample} + +\subsection{Surface simple} +\begin{tkzexample}[] + \begin{tikzpicture}[scale=1.75] + \tkzInit[xmin=0,xmax=800,xstep=100, + ymin=0,ymax=2000,ystep=400] + \tkzGrid + \tkzAxeXY + \tkzFct[domain = 0:800]{(1./90000)*\x*\x*\x-(1./100)*\x*\x+(113./36)*\x} + \tkzDefPoint(450,400){a} + \tkzDrawPoint(a) + \tkzDrawArea[color=orange!50, domain =0:450] + \tkzDrawArea[color=orange!80, domain =450:800] + \end{tikzpicture} +\end{tkzexample} + +%<---------------------------------------------------------------------------> + +\newpage +\subsection{Surface et hachures} +\begin{tkzexample}[] +\begin{tikzpicture}[scale=2] + \tkzInit[xmin=-3,xmax=4,ymin=-2,ymax=4] + \tkzGrid(-3,-2)(4,4) + \tkzDrawXY + \tkzFct[domain = -2.15:3.2]{(2+\x)*exp(-\x)} + \tkzDrawArea[pattern=north west lines,domain =-2:2] + \tkzDrawTangentLine[draw,color=blue](0) + \tkzDrawTangentLine[draw,color=blue](-1) + \tkzDefPointByFct(2) \tkzGetPoint{C} + \tkzDefPoint(2,0){B} + \tkzDrawPoints(B,C) \tkzLabelPoints[above right](B,C) + \tkzRep +\end{tikzpicture} +\end{tkzexample} + %<---------------------------------------------------------------------------> + +\newpage +\subsection{Surface comprise entre deux courbes \tkzcname{tkzDrawAreafg}} + +\hypertarget{tdafg}{} +\begin{NewMacroBox}{tkzDrawAreafg}{\oarg{local options}} +Cette macro permet de mettre en évidence une surface délimitée par les courbes représentatives de deux fonctions. La courbe (a) doit être au-dessus de la courbe (b). + +\medskip +\begin{tabular}{lll} + \toprule + options & défaut & explication \\ +\midrule +\TOline{between} {no default}{référence des deux courbes, obligatoire !} +\TOline{domain= min:max}{domain=-5:5}{Les options sont celles de \TIKZ.} +\TOline{opacity} {0.5}{transparence} +\bottomrule +\end{tabular} + +{L'option \tkzname{pattern} de \TIKZ\ peut être utile ! } +\end{NewMacroBox} +%<---------------------------------------------------------------------------> + +\subsection{Surface comprise entre deux courbes en couleur} +Par défaut, la surface définie est comprise entre les deux premières courbes. + + + \begin{tikzpicture}[scale=1.5] + \tkzInit[xmax=5,ymax=5] + \tkzGrid \tkzAxeXY + \tkzFct[domain = 0:5]{x} + \tkzFct[domain = 1:5]{log(x)} + \tkzDrawAreafg[between=a and b,color = orange!50,domain = 1:5] + \end{tikzpicture} + + +%<---------------------------------------------------------------------------> +\newpage +\subsection{Surface comprise entre deux courbes avec des hachures} + +\begin{tkzltxexample}[] +\tkzDrawAreafg[between= a and b,pattern=north west lines,domain = 1:5] +\end{tkzltxexample} + +\begin{center} + \begin{tkzexample}[vbox] + \begin{tikzpicture}[scale=.8] + \tkzInit[xmax=5,ymax=5] + \tkzGrid + \tkzAxeXY + \tkzFct[domain = 0:5]{x} + \tkzFct[domain = 1:5]{log(x)} + \tkzDrawAreafg[between= a and b,pattern=north west lines,domain = 1:5] + \end{tikzpicture} + \end{tkzexample} +\end{center} + +%<---------------------------------------------------------------------------> +\subsection{Surface comprise entre deux courbes avec l'option \tkzname{between}} +Attention à l'ordre des références dans l'option \tkzname{between}. Seule la partie de la surface (b) est au-dessus de (a) est représentée. + +\begin{tkzexample}[latex=7cm] +\begin{tikzpicture}[scale=1.25] + \tkzInit[ymin=-1,xmax=5,ymax=3] + \tkzGrid + \tkzAxeXY + \tkzFct[domain = 0.5:5]{1/x}% courbe a + \tkzFct[domain = 1:5]{log(x)}% courbe b + \tkzDrawAreafg[between=b and a, + color=magenta!50, + domain = 1:4] +\end{tikzpicture} +\end{tkzexample} + +%<---------------------------------------------------------------------------> +\newpage +\subsection{Surface comprise entre deux courbes : courbes de Lorentz} +Ici aussi, attention à l'ordre des références dans l'option \tkzname{between}. + +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=1.25] + \tkzInit[xmax=1,ymax=1,xstep=0.1,ystep=0.1] + \tkzGrid + \tkzAxeXY + \tkzFct[color = red,domain = 0:1]{(exp(\x)-1)/(exp(1)-1)} + \tkzFct[color = blue,domain = 0:1]{\x*\x*\x} + \tkzFct[color = green,domain = 0:1]{\x} + \tkzDrawAreafg[between = c and b,color=purple!40,domain = 0:1] + \tkzDrawAreafg[between = c and a,color=gray!60,domain = 0:1] +\end{tikzpicture} +\end{tkzexample} + +%<---------------------------------------------------------------------------> +\subsection{Mélange de style} + +\begin{tkzexample}[] +\begin{tikzpicture}[scale=2.5] + \tkzInit[xmin=-1,xmax=4,ymin=0,ymax=5] + \tkzGrid + \tkzAxeXY + \tkzFct[domain = -.5:4]{ 4*x-x**2+4/(x**2+1)**2} + \tkzFct[domain = -.5:4]{x-1+4/(x**2+1)**2} + \tkzDrawAreafg[between=a and b,color=green,domain = 1:4] + \tkzDrawAreafg[between=a and b,pattern=north west lines,domain = -.5:1] + \tkzRep + \tkzText(2.5,4.5){$C_f$} + \tkzText(2.5,1){$C_g$} +\end{tikzpicture}% +\end{tkzexample} + +\newpage %<---------------------------------------------------------------------------> +\subsection{Courbes de niveaux} +Le code est intéressant pour la définition des fonctions constantes aux lignes 10 et 11. + +\begin{tkzexample}[num] +\begin{tikzpicture}[scale=.75] + \tkzInit[xmax=20,ymax=12] + \tkzGrid[color=orange,sub](0,0)(20,12) + \tkzAxeXY + \tkzFct[samples=400,domain =0:8]{(32-4*x)**(0.5)} % a + \tkzFct[samples=400,domain =0:18]{(72-4*x)**(0.5)} % b + \tkzFct[samples=400,domain =0:20]{(112-4*x)**(0.5)} % c + \tkzFct[samples=400,domain =2:20]{(152-4*x)**(0.5)} % d + \tkzFct[samples=400,domain =12:20]{(192-4*x)**(0.5)}% e + \def\tkzFctgnuf{0} % f + \def\tkzFctgnug{12}% g + \tkzDrawAreafg[between= b and a,color=gray!80,domain = 0:8] + \tkzDrawAreafg[between= b and f,color=gray!80,domain = 8:18] + \tkzDrawAreafg[between= d and c,color=gray!50,domain = 2:20] + \tkzDrawAreafg[between= g and c,color=gray!50,domain = 0:2] + \tkzDrawAreafg[between= g and e,color=gray!20,domain =12:20] +\end{tikzpicture}% +\end{tkzexample} + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-asymptote.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-asymptote.tex new file mode 100644 index 0000000000..1f3666c6e5 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-asymptote.tex @@ -0,0 +1,159 @@ +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\section{Droites particulières} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\subsection{ Tracer une ligne verticale } +\begin{NewMacroBox}{tkzVLine}{\oarg{local options}\marg{decimal number}} +Attention, la syntaxe est celle de \tkzname{fp} car on n'utilise pas \tkzname{gnuplot} pour tracer une droite. + +\begin{tabular}{lll} + \toprule +arguments & exemple & définition \\ +\midrule +\TAline{decimal number}{\tkzcname{tkzVLine\{1\}}}{Trace la droite $x=1$} +\bottomrule +\end{tabular} + +\medskip +\begin{tabular}{lll} +\toprule +options & défaut & définition \\ +\midrule +\TOline{color }{|black| }{ couleur du trait} +\TOline{line width}{|0.6pt| }{ épaisseur du point} +\TOline{style }{|solid|}{ style du trait } +\bottomrule +\end{tabular} + +{voir les options les lignes dans \TIKZ} +\end{NewMacroBox} + + +\subsection{Ligne verticale } +problème avec cette macro, en principe 1./3 devrait être acceptée. +\begin{tkzexample}[latex=8cm] +\begin{tikzpicture}[scale=2] + \tkzInit[xmax=3,ymax=2] + \tkzAxeXY + \tkzVLine[color = blue, + style = dashed, + line width = 1pt]{2} + \tkzVLine[color = red, + style = dashed, + line width = 1pt]{1./3} +\end{tikzpicture} +\end{tkzexample} + + +\newpage +\begin{NewMacroBox}{tkzVLines}{\oarg{local options}\marg{list of values}} +Attention, la syntaxe est celle de \tkzname{fp} car on n'utilise pas \tkzname{gnuplot} pour tracer une droite. + +\begin{tabular}{lll} + \toprule +arguments & exemple & définition \\ +\midrule +\TAline{list of values}{\tkzcname{tkzVLines\{1,4\}}}{Trace les droites $x=1$ et $x=4$} +\bottomrule +\end{tabular} + +\end{NewMacroBox} + +\subsection{Lignes verticales} + +\begin{tkzexample}[latex=7cm] +\begin{tikzpicture} + \tkzInit[xmax=5,ymax=5] + \tkzAxeXY + \tkzVLines[color = green]{1,2,...,4} +\end{tikzpicture} +\end{tkzexample} + +\subsection{Ligne verticale et valeur calculée par \tkzname{fp} } +\begin{tkzexample}[] +\begin{tikzpicture} + \tkzInit[xmin=-7,xmax=7,ymin=-1,ymax=1] + \tkzAxeY[font=\small] + \tkzAxeX[trig=2] + \foreach\v in {-2,-1,1,2} + {\tkzVLine[color=red]{\v*\FPpi}} +\end{tikzpicture} +\end{tkzexample} + +\newpage +\subsection{Une ligne horizontale} +\begin{NewMacroBox}{tkzHLine}{\oarg{local options}\marg{decimal number}} +\begin{tabular}{lll} +arguments & exemple & définition \\ +\midrule +\TAline{decimal number}{\tkzcname{tkzVLine\{1\}}}{Trace la droite $y=1$} +\end{tabular} +\end{NewMacroBox} + +\begin{tkzexample}[latex=7cm] +\begin{tikzpicture} + \tkzInit[xmax=80,xstep=20,ymax=2] + \tkzAxeXY + \tkzHLine[color=red]{exp(1)-1} +\end{tikzpicture} +\end{tkzexample} +\subsection{Asymptote horizontale} +Attention, une autre méthode consiste à écrire \tkzcname{tkzFct{$\text{k}$}} mais si \tkzname{ystep= $n$} avec $n$ entier naturel alors il est nécessaire d'écrire $k$ comme un nombre réel, par exemple si \tkzname{ystep= $3$} alors il faut écrire $k=5.0$. + +\begin{tkzexample}[] +\begin{tikzpicture}[scale=2.5] + \tkzInit[xmax=5,ymin=0.5,ymax=1.5,ystep=0.5] + \tkzGrid + \tkzAxeXY + \tkzFct[domain = 0:10]{x*exp(-x)+1} + \tkzHLine[color=red,style=solid,line width=1.2pt]{1} + \tkzDrawTangentLine[draw,color=blue](1) + \tkzText[draw,fill = brown!20](2,0.75){$f(x)=x \text{e}^{-x}+1$} + \end{tikzpicture} + \end{tkzexample} + + + +\newpage + +\subsection{Lignes horizontales} + +\begin{NewMacroBox}{tkzHLines}{\oarg{local options}\marg{list of values}} +\begin{tabular}{lll} +arguments & exemple & définition \\ +\midrule +\TAline{list of values}{\tkzcname{tkzHLines\{1,4\}}}{Trace les droites $y=1$ et $y=4$} +\bottomrule +\end{tabular} +\end{NewMacroBox} + +\begin{tkzexample}[] +\begin{tikzpicture} + \tkzInit + \tkzAxeXY + \tkzHLines[color = green]{1,2,...,10} +\end{tikzpicture} +\end{tkzexample} + + +\newpage +\subsection{Asymptote horizontale et verticale} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=1.25] + \tkzInit + \tkzGrid + \tkzAxeXY + \tkzFct[color=red,domain=1.001:1.9]{1+1/(log(x-1)**2)} + \tkzFct[color=red,domain = 2.1:10]{1+1/(log(x-1)**2)} + \tkzHLine[line width=1pt,color=red]{1} + \tkzVLine[line width=1pt,color=blue]{2} + \tkzDefPoint(1,1){A} + \tkzDrawPoint[fill=white,color=brown,size=6](A) + \tkzDefPointByFct[draw,with=b]({1+exp(1)}) + \tkzLabelPoint[above right](tkzPointResult){$(1+\text{e}~;~2)$} + \tkzText[draw,color = black,fill = brown!20](6,6)% + {$f(x)=\dfrac{1}{\ln^2 (x-1)}+1$} +\end{tikzpicture} +\end{tkzexample} + + +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-bac.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-bac.tex new file mode 100644 index 0000000000..8f9a2de207 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-bac.tex @@ -0,0 +1,200 @@ +\section{Exemples avec les packages \tkzname{alterqcm} et \tkzname{tkz-tab}} + +%\shorthandoff{:} +\begin{alterqcm}[lq=110mm] + +\AQmessage{ La figure 1. donne la représentation graphique d'une fonction $f$ définie sur $\mathbf{R}^+$ et la figure 2 celle d'une primitive de $f$ sur $\mathbf{R}^+$. + +\begin{center} + \begin{tikzpicture}[xscale=2.25,yscale=1] + \tkzInit[xmin=-2,xmax=3,ymin=-1,ymax=6] + \tkzDrawX + \tkzDrawY + \tkzFct[samples=100,domain = -1:2.2]{x+exp(x-1)} + \tkzDefPoint(1,2){pt1} + \tkzDrawPoint(pt1) + \tkzPointShowCoord[xlabel=$1$,ylabel=$2$](pt1) + \tkzDefPoint(2,4.71828){pt2} + \tkzDrawPoint(pt2) + \tkzPointShowCoord[xlabel=$2$,ylabel=$\text{e}+2$](pt2) + \tkzRep + \end{tikzpicture} +\end{center} + +\begin{center} + \begin{tikzpicture}[xscale=2.25,yscale=1] + \tkzInit[xmin=-2,xmax=3,ymin=-1,ymax=6] + \tkzDrawX + \tkzDrawY + \tkzFct[samples=100,domain = -1:2.2]{x*x/2+exp(x-1)} + \tkzDefPoint(1,1.5){pt1} + \tkzDrawPoint(pt1) + \tkzPointShowCoord[xlabel=$1$,ylabel=$3/2$](pt1) + \tkzDefPoint(2,4.71828){pt2} + \tkzDrawPoint(pt2) + \tkzPointShowCoord[xlabel=$2$,ylabel=$\text{e}+2$](pt2) + \tkzRep +\end{tikzpicture} +\end{center}} + +\AQquestion{Quelle est l'aire, en unités d'aire, de la partie du plan limitée par la représentation graphique de la fonction $f$, l'axe des abscisses et les +droites d'équation $x = 1$ et $x = 2$ ? } +{{$\text{e} + \cfrac{3}{4}$}, +{$\text{e} + \cfrac{1}{2}$}, +{$1$} +} +\end{alterqcm} + +\begin{alterqcm}[lq=90mm,pre=false,numbreak=1] +\AQmessage{La fonction $k$ définie et strictement positive sur $\mathbf{R}^+$ est connue par son tableau de variations. + +\begin{center} +\begin{tikzpicture} + \tkzTabInit[lgt=1,espcl=2]{$x$/0.5,$k(x)$/1.5} + {$0$,$1$,$3$,$+\infty$} + \tkzTabVar{-/ /,% + +/ /,% + -/ /,% + +/ $+\infty$ /}% + \end{tikzpicture} +\end{center}% +} + +\AQquestion{Pami les tableaux suivants, quel est le tableau de variations de la fonction $g$ définie sur +$\mathbf{R}^+$ par \[g(x) = \cfrac{1}{k(x)}\ ? \]} +{{Tableau A}, +{Tableau B}, +{Tableau C} +} + +\AQmessage{ +\begin{center} + Tableau A + +\begin{tikzpicture} + \tkzTabInit[lgt=1,espcl=2]{$x$/0.5,$g(x)$/1.5} + {$0$,$1$,$3$,$+\infty$} + \tkzTabVar{-/ /,% + +/ /,% + -/ /,% + +/ $+\infty$ /}% + \end{tikzpicture} + +\end{center} + + + \begin{center} +Tableau B + +\begin{tikzpicture} + \tkzTabInit[lgt=1,espcl=2]{$x$/0.5,$g(x)$/1.5} + {$0$,$1$,$3$,$+\infty$} + \tkzTabVar{+/ /,% + -/ /,% + +/ /,% + -/ $-\infty$ /}% + \end{tikzpicture} + + \end{center} + +\begin{center} +Tableau C + + \begin{tikzpicture} + \tkzTabInit[lgt=1,espcl=2]{$x$/0.5,$g(x)$/1.5} + {$0$,$1$,$3$,$+\infty$} + \tkzTabVar{-/ /,% + +/ /,% + -/ /,% + +/ $0$ /}% + \end{tikzpicture} + +\end{center} +} + +\AQquestion{Soit $h$ la fonction définie sur $\mathbf{R}$ par $h(x) = \text{e}^x - x + 1$. +On note $\mathcal{C}$ la courbe représentative de $h$ dans un repère +orthonormal $O;\vec{\imath};\vec{\jmath}$.} +{{% +\begin{minipage}{5cm} + La droite d'équation $y = 1$ est + asymptote à $\mathcal{C}$% +\end{minipage} +}, +{\begin{minipage}{5cm} + La droite d'équation $x = 0$ est +asymptote à $\mathcal{C}$ +\end{minipage}}, +{\begin{minipage}{5cm} + La droite d'équation $y = -x + 1$ est +asymptote à $\mathcal{C}$ +\end{minipage}} +} +\AQquestion{En économie, le coût marginal est le coût occasionné par la +production d'une unité supplémentaire, et on considère que le coût +marginal est assimilé à la dérivée du coût total.\\ +Dans une entreprise, une étude a montré que le coût marginal +$C_{m}(q)$ exprimé en millliers d'euro en fonction du nombre $q$ +d'articles fabriqués est donné par la relation : +\[C_{m}(q) = 3q^2 - 10q + \cfrac{2}{q} + 20.\] +} +{{ $C_{r}(q) = q^3 - 5q^2 + 2\ln q + 20q + 9984$}, +{$C_{r}(q) = q^3 - 5q^2 + 2\ln q + 20q - 6$}, +{$C_{r}(q) = 6q - 10 - \cfrac{2}{q^2}$} +} + +\end{alterqcm} + +Voici le code des deux représentations de $f$ et de sa primitive~: + +\subsubsection{Première représentation} + \begin{tkzexample}[code only] + \begin{tikzpicture}[xscale=2.25,yscale=1] + \tkzInit[xmin=-2,xmax=3,ymin=-1,ymax=6] + \tkzDrawX + \tkzDrawY + \tkzFct[samples=100,domain = -1:2.2]{x+exp(x-1)} + \tkzDefPoint(1,2){pt1} + \tkzDrawPoint(pt1) + \tkzPointShowCoord[xlabel=$1$,ylabel=$2$](pt1) + \tkzDefPoint(2,4.71828){pt2} + \tkzDrawPoint(pt2) + \tkzPointShowCoord[xlabel=$2$,ylabel=$\text{e}+2$](pt2) + \tkzRep + \end{tikzpicture} + \end{tkzexample} + +\subsubsection{Seconde représentation} + \begin{tkzexample}[] + \begin{tikzpicture}[xscale=2.25,yscale=1] + \tkzInit[xmin=-2,xmax=3,ymin=-1,ymax=6] + \tkzDrawX + \tkzDrawY + \tkzFct[samples=100,domain =-1:2.2]{x*x/2+exp(x-1)} + \tkzDefPoint(1,1.5){pt1} + \tkzDrawPoint(pt1) + \tkzPointShowCoord[xlabel=$1$,ylabel=$3/2$](pt1) + \tkzDefPoint(2,4.71828){pt2} + \tkzDrawPoint(pt2) + \tkzPointShowCoord[xlabel=$2$,ylabel=$\text{e}+2$](pt2) + \tkzRep +\end{tikzpicture} + \end{tkzexample} + +Code d'un tableau de variations + +\begin{tkzltxexample}[] +\begin{tikzpicture} + \tkzTabInit[lgt=1,espcl=2]{$x$/0.5,$k(x)$/1.5} + {$0$,$1$,$3$,$+\infty$} + \tkzTabVar{-/ /,% + +/ /,% + -/ /,% + +/ $+\infty$ /}% +\end{tikzpicture} +\end{tkzltxexample} + + + + +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-compilation.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-compilation.tex new file mode 100644 index 0000000000..1bfa45df41 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-compilation.tex @@ -0,0 +1,243 @@ +\section{Utilisation de Gnuplot} +%–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\subsection{Mécanisme d'interaction entre \TIKZ\ et \tkzname{Gnuplot}} + +\TEX\ est un système logiciel de composition de documents ( text processing programm ). Il permet bien sûr de calculer, mais avec des moyens limités. \TIKZ\ est ainsi limité par \TEX\ pour effectuer des calculs. Pour rappel ±16383.99999 pt est l'intervalle dans lequel \TEX\ stocke ses valeurs. Sachant que 1 cm est égal à 28.45274 pt, on s'aperçoit que \TEX\ ne peut traiter que des dimensions inférieures à 5,75 mètres environ. +Bien sûr, cela paraît suffisant, mais malheureusement, pendant un enchaînement de calculs, il est assez facile de dépasser ces limites. + +\bigskip + \newcommand{\drawpage}[4]{% + \begin{scope}[xshift=#1, yshift=#2,font=\footnotesize] + \filldraw[fill=white!75!#4,draw=#4, very thin]% + (0,0) -- (4.2,0) -- (4.2,4.85) --(3.21,5.84)-- (0,5.84) -- cycle; + \fill[fill=#4,shade,top color=#4,bottom color=#4!40]% + (3.21,5.84) -- ++(0,-0.99) -- ++(0.99,0) -- cycle; + \path (2.1,2.97) node{#3}; + \end{scope} +} + +\begin{center} +\begin{tikzpicture}[>=triangle 45,scale=.75] +\drawpage{0cm}{0cm}{\texttt\tkzblue\begin{minipage}{2cm} +sample.tex + +with + +\tkzcname{draw plot[id=fct] function{---.};} +\end{minipage}}{blue} +\drawpage{12cm}{0cm}{\texttt \tkzred sample.fct.gnuplot}{red} +\drawpage{12cm}{-14cm}{\texttt\tkzred sample.fct.table}{red} +\drawpage{0cm}{-14cm}{\texttt\tkzblue\begin{minipage}{2cm} +sample.pdf + +\bigskip + \begin{tikzpicture}[domain=-1.5:.8] + \draw plot[id=f1,samples=200] function{x*x}; + \end{tikzpicture} +\end{minipage}}{blue} + +\path (8.05,2.9) node(A) + [diamond,% + draw,color = black, + fill = red!60,% + text = black,% + minimum size = 3 cm,% + font = \normalsize] + {{\texttt \tikzname-\TEX}}; + \path (14.1,-4.08) node(B) + [diamond,% + draw,color=black,fill=green!60,% + text = black,% + minimum size = 3 cm,% + font = \normalsize] + {{\texttt gnuplot}}; + \path (8.05,-11.1) node(C) + [diamond,% + draw,color = black, + fill = red!60,% + text = black,% + minimum size = 3 cm,% + font = \normalsize] + {{\texttt \tikzname-\TEX}}; + \draw[->] (4.2,2.9) -- (A.west); + \draw[->] (A.east) -- (12,2.9); + \draw[->] (14.1,0) -- (B.north); + \draw[->] (B.south) -- (14.1,-8.18); + \draw[->] (12 ,-11.1)--(C.east); + \draw[->] (C.west)--(4.2,-11.1); + \draw[->,magenta] (4.2,2.9) to [ out =-80,in=260] node[below,pos=.5]{étape 1} (12,2.9); + \draw[->,magenta] (14.1,0) to [ out =200,in=160] node[left,pos=.5]{étape 2} (14.1,-8.18); + \draw[->,magenta] (12 ,-11.1) to [ out =110,in=70] node[above,pos=.5]{étape 3} (4.2,-11.1); + \end{tikzpicture} +\end{center} + +Pour tracer des courbes en 2D en contournant ces problèmes, un moyen simple offert par \TIKZ, est d'utiliser \tkzname{gnuplot}. + + \tkzname{tkz-fct.sty} s'appuie sur le programme \tkzname{gnuplot} et le package \tkzname{fp.sty}. Le premier est utilisé pour obtenir une liste de points, et le second pour évaluer ponctuellement des valeurs. + + Vous devez donc installer \tkzname{Gnuplot}, son installation dépend de votre système, puis il faudra que votre distribution trouve \tkzname{Gnuplot}, et que \TeX\ autorise \tkzname{Gnuplot} à écrire un fichier. + +\begin{itemize} +\item \textcolor{red}{\textbf{Étape 1}} + +On part du fichier \tkzname{sample.tex} suivant : + +\medskip +\begin{tkzltxexample}[] +\documentclass{article} +\usepackage{tikz} +\begin{document} +\begin{tikzpicture} +\draw plot[id=f1,samples=200,domain=-2:2] function{x*x}; +\end{tikzpicture} +\end{document} +\end{tkzltxexample} + +La compilation de ce fichier créé avec \TIKZ, produit un fichier nommé \tkzname{sample.f1.gnuplot}. Le nom du fichier est obtenu à partir de \tkzcname{jobname} et de l'option \tkzname{id}. Ainsi un même fichier peut créer plusieurs fichiers distincts. C'est un fichier texte ordinaire, affecté de l'extension \tkzname{gnuplot}. Il contient un préambule indiquant à \tkzname{gnuplot} qu'il doit créer une table contenant les coordonnées d'un certain nombre de points obtenu par la fonction définie par $x\longrightarrow x^2$. Ce nombre de points est défini par l'option \tkzname{samples}. Cette étape ne présente aucune difficulté particulière. Le fichier obtenu peut être traité manuellement avec \tkzname{gnuplot}. Le résultat est le fichier suivant : + +\begin{tkzltxexample}[] +set table; set output "sample.f1.table"; set format "%.5f" +set samples 200; plot [x=-2:2] x*x +\end{tkzltxexample} + +Une table sera créée et enregistrée dans un fichier texte nommé "sample.f1.table". Les nombres seront formatés pour ne contenir que 5 décimales. +La table contiendra 201 couples de coordonnées. + +\item \textcolor{red}{\textbf{Étape 2}} + +Elle est la plus délicate car le fichier \tkzname{sample.f1.gnuplot} doit être ouvert par \tkzname{gnuplot}. Cela implique d'une part, que \TEX\ autorise l'ouverture\footnote{c'est ici que l'on parle des options \tkzname{--shell-escape} et \tkzname{--enable-write18}} + du fichier \tkzname{sample.f1.gnuplot} par \tkzname{gnuplot} et d'autre part, que \TEX\ puisse trouver \tkzname{gnuplot}\footnote{c'est ici que l'on parle de \tkzname{PATH}}. + +Si \tkzname{gnuplot} trouve \tkzname{sample.f1.gnuplot} alors il produit un fichier texte \tkzname{sample.f1.table}, évidemment s'il ne trouve d'erreur de syntaxe dans l'expression de la fonction. + +\tkzHandBomb Malheureusement, une incompréhension peut surgir entre \TIKZ\ et \tkzname{gnuplot}. \TIKZ\ jusqu'à sa version 2.00 officielle, est conçu pour fonctionner avec \tkzname{gnuplot} version 4.0 et malheureusement, \tkzname{gnuplot} a changé de syntaxe. la documentation de gnuplot indique : + +\medskip\hspace{1cm} +\begin{tkzltxexample}[] + Features, changes and fixes in gnuplot version 4.2 (and >) +'set table "outfile"; ---.; unset table' replaces 'set term table' +\end{tkzltxexample} + + +La version 2.1 de \TIKZ\ a adopté \tkzname{set table} et il n'y a plus d'incompatibilité entre \TIKZ\ et les versions récentes de \tkzname{gnuplot} (v>4.2). J'espère qu'il en va de même pour les versions de \TIKZ\ > 3. + + \item \textcolor{red}{\textbf{Étape 3}} + + Le fichier \tkzname{sample.f1.table} obtenu à l'étape précédente est utilisé par \TIKZ\ pour tracer la courbe. + +\medskip\hspace{1cm} +\begin{tkzltxexample}[] +# Curve 0 of 1, 201 points +# Curve title: "x*x" +# x y type +-2.00000 4.00000 i +-1.98000 3.92040 i +-1.96000 3.84160 i +---. +1.98000 3.92040 i +2.00000 4.00000 i +\end{tkzltxexample} +\end{itemize} + +\begin{enumerate} + +\item Il faut remarquer qu'au cours d'une seconde compilation, si le fichier \tkzname{sample.f1.gnuplot} ne change pas, alors \tkzname{gnuplot} n'est pas lancé et le fichier présent \tkzname{sample.f1.table} est utilisé. + +\item On peut aussi remarquer que si vous êtes paranoïaque et que vous n'autorisez pas le lancement de gnuplot, alors un première compilation permettra de créer le fichier \tkzname{sample.f1.table}, ensuite manuellement, vous pourrez lancer gnuplot et obtenir le fichier \tkzname{sample.f1.table}. + +\item Il est aussi possible de créer manuellement ou encore avec un quelconque programme, un fichier data.table que \TIKZ\ pourra lire avec + +\begin{tkzltxexample}[] + \draw plot[smooth] file {data.table}; +\end{tkzltxexample} +\end{enumerate} + + + +\subsection{Installation de \tkzname{Gnuplot}} + +Gnuplot est proposé avec la plupart des distributions Linux, et existe pour OS X ainsi que pour Windows. + +\begin{enumerate} + \item \NameSys{Linux Ubuntu} ou un autre système Linux: on l'installe en suivant la procédure classique d'installation d'un nouveau paquetage. + \item \NameSys{Windows XP} Les utilisateurs de Windows doivent se méfier, après avoir téléchargé la bonne version et installé \tkzname{gnuplot} alors il faudra renommé wgnuplot en gnuplot. Ensuite il faudra modifier le \tkzname{path}. Si le chemin du programme est \tkzname{C:\textbackslash gnuplot} alors il faudra ajouter \tkzname{{C:}\textbackslash gnuplot\textbackslash bin\textbackslash} aux variables environnement (Aller à "Poste de Travail" puis faire "propriétés", dans l'onglet "Avancé", cliquer sur "Variables d'environnement". ). +Ensuite pour compiler sous latex, il faudra ajouter au script de compilation l'option \tkzname{--enable-write18 }. + \item \NameSys{OS X} L'installation n'est jamais simple sauf + si vous n'utilisez \tkzname{gnuplot} qu'en collaboration avec \TIKZ\ alors il vous suffit de compiler les sources ainsi : + + \begin{enumerate} + +\item Télécharger les sources de \tkzname{gnuplot}, déposer les sources sur le bureau. +\item Ouvrir un terminal puis taper cd et glisser le dossier des sources après cd (en laissant un espace) +Cela doit donner + +\begin{tkzltxexample}[] +$ cd /Users/you/Desktop/gnuplot-4.4.2 +\end{tkzltxexample} + +\item ensuite taper la ligne suivante et valider + \begin{tkzltxexample}[] +$ ./configure --with-readline=builtin +\end{tkzltxexample} + \item puis +\begin{tkzltxexample}[] +$ make\end{tkzltxexample} + \item et enfin + \begin{tkzltxexample}[] +$ sudo make install +\end{tkzltxexample} + \end{enumerate} +\end{enumerate} + + +\subsection{ Test de l'installation de tkz-base} +Enregister le code suivant dans un fichier avec le nom test.tex, puis compiler avec pdflatex ou bien la chaîne dvi-->ps-->pdf. Vous devez obtenir cela : + + +\begin{tkzltxexample}[] +\documentclass{standalone} + \usepackage{tkz-fct} + \begin{document} + \begin{tikzpicture} + \tkzInit[xmin=-5,xmax=5,ymax=2] + \tkzGrid + \tkzAxeXY + \end{tikzpicture} + \end{document} +\end{tkzltxexample} + +\begin{tkzexample}[latex=9cm] + \begin{tikzpicture} + \tkzInit[xmin=-3,xmax=3,ymax=2] + \tkzGrid + \tkzAxeXY + \end{tikzpicture} +\end{tkzexample} + + +\subsection{ Test de l'installation de tkz-fct} +Il suffit d'ajouter une ligne pour tracer la représentation graphique d'une fonction. + +\begin{tkzltxexample}[] +\documentclass{standalone} + \usepackage{tkz-fct} + \begin{document} + \begin{tikzpicture}[scale=1.25] + \tkzInit[xmin=-5,xmax=5,ymax=2] + \tkzGrid + \tkzAxeXY + \tkzFct[color=red]{2*x**2/(x**2+1)} + \end{tikzpicture} + \end{document} +\end{tkzltxexample} + +\begin{tkzexample}[] +\begin{tikzpicture}[scale=1.25] + \tkzInit[xmin=-5,xmax=5,ymax=2] + \tkzGrid + \tkzAxeXY + \tkzFct[color=red]{2*x**2/(x**2+1)} + \end{tikzpicture} +\end{tkzexample} +\endinput + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-example.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-example.tex new file mode 100644 index 0000000000..ccdf5bcc5c --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-example.tex @@ -0,0 +1,122 @@ + +\section{Quelques exemples} + +\subsection{Variante intermédiaire : \TIKZ\ + \tkzname{tkz-fct}} +Les codes de \TIKZ\ et de \tkzname{tkz-fct} peuvent se compléter. Ainsi les axes et les textes sont gérés par \tkzname{tkz-fct} mais la courbe est laissée à \TIKZ\ et \tkzname{gnuplot}. + +\bigskip + +\begin{center} + \begin{tkzexample}[] + \begin{tikzpicture}[scale=3] + \tkzInit[xmin=0,xmax=4,ymin=-1.5,ymax=1.5] + \tkzAxeY[label=$f(x)$] + \tkzDefPoint(1,0){x} \tkzDrawPoint[color=blue,size=0.6pt](x) + \shade[top color=gray!80,bottom color=gray!20] (1,0)% + plot[id=ln,domain=1:2.718] function{log(x)} |-(1,0); + \draw[color=blue] plot[id=ln,domain=0.2:4,samples=200]function{log(x)}; + \tkzAxeX + \tkzText[draw,color= black,fill=brown!50](2,-1)% + {$\mathcal{A} = \int_1^{\text{e}}\ln(x)\text{d}x =% + \big[x\ln(x)\big]_{1}^{\text{e}} = \text{e}$} + \tkzText[draw,color= black,fill=brown!50](2,0.3){$\mathcal{A}$} + \end{tikzpicture} + \end{tkzexample} +\end{center} + + \newpage + \subsection{Courbes de \tkzname{Lorentz}} + + $f(x)=\dfrac{\text{e}^x-1}{\text{e}-1}$ et $g(x)=x^3$ + + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=1] + \tkzInit[xmax=1,ymax=1,xstep=0.1,ystep=0.1] + \tkzGrid(0,0)(1,1) + \tkzAxeXY + \tkzFct[color = red,domain = 0:1]{(exp(\x)-1)/(exp(1)-1)} + \tkzDrawTangentLine[kl=0,kr=0.4,color=red](0) + \tkzDrawTangentLine[kl=0.2,kr=0,color=red](1) + \tkzText[draw,color = red,fill = brown!30](0.4,0.6)% + {$f(x)=\dfrac{\text{e}^x-1}{\text{e}-1}$} + \tkzFct[color = blue,domain = 0:1]{\x*\x*\x} + \tkzDrawTangentLine[kl=0,kr=0.4,color=blue](0) + \tkzDrawTangentLine[kl=0.2,kr=0,color=blue](1) + \tkzText[draw,color = blue,fill = brown!30](0.8,0.1){$g(x)=x^3$} + \tkzFct[color = orange,style = dashed,domain = 0:1]{\x} + \tkzDrawAreafg[between=c and b,color=blue!40,domain = 0:1] + \tkzDrawAreafg[between=c and a,color=red!60,domain = 0:1] +\end{tikzpicture} +\end{tkzexample} +\end{center} + + + \newpage + \subsection{Courbe exponentielle} + $f(x) = (-x^2+x+2)\exp(x)$ + +\begin{center} +\begin{tkzexample}[small] +\begin{tikzpicture}[scale=1.25] + \tkzInit[xmin=-6,xmax=4,ymin=-5,ymax=6] + \tkzGrid + \tkzAxeXY + \tkzFct[color=red,thick,domain=-6:2.1785]{(-x*x+x+2)*exp(x)} + \tkzSetUpPoint[size=6] + \tkzDrawTangentLine[draw,kl=2](0) + \tkzDefPoint(2,0){b} \tkzDrawPoint(b) + \tkzDefPoint(-1,0){c} \tkzDrawPoint(c) + \tkzText(2,4){($\mathcal{C}$)} + \tkzText(-2,-3){($\mathcal{T}$)} +\end{tikzpicture} +\end{tkzexample} +\end{center} + + + \subsection{Axe logarithmique} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=0.8] + \tkzInit[xmax=14,ymax=12] + \draw[thin,->] (0,0) -- (14,0) node[below left] {}; + \draw[thin,->] (0,0) -- (0,12) node[below left] {}; + \foreach \x/\xtext in {0/0,2/10,4/20,6/30,8/40,10/50,12/60,14/70}% + {\draw[shift={(\x,0)}] node[below] {$\xtext$ };} + \foreach \y/\z in {0/0,3/1,6/2,9/3,12/4}% + {\draw[shift={(0,\y)}] node[left] {$10^{\z}$};} + \foreach \x in {1,2,...,14}{\tkzVLine[gray,thin]{\x}} + \foreach \y in {3,6,...,12}{\tkzHLine[gray,thin]{\y}} + \foreach \y in {0,3,...,9}{ + \foreach \z in {0.903,1.431,1.806,2.097,2.334,2.535,2.709,2.863}% + {\tkzHLine[thin,gray,shift={(0,\y)}] {\z}}} + \tkzDefPoint(0,6.90){a} + \tkzDefPoint(10,9.30){b} + \tkzDrawPoints(a,b) + \tkzLabelPoint(a){$M_{1}$} + \tkzLabelPoint(b){$M_{11}$} +\end{tikzpicture} +\end{tkzexample} + + \subsection{Un peu de tout} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=.8] + \tkzInit[xmin=5,xmax=40,ymin=0,ymax=350,xstep=2.5,ystep=25] + \tkzDrawX[label=$q$] + \tkzLabelX + \tkzDrawY[label=$C(q)$] + \tkzLabelY + \tkzGrid + \tkzFct[domain=5:40]{0.1*\x**2+2*\x+60} + \foreach \vv in {5,10,...,40}{% + \tkzDefPointByFct(\vv) + \tkzDrawPoint(tkzPointResult)} + \tkzFct[domain=5:40]{(108*log(\x)-158)} + \tkzText(37.5,280){$C$} + \tkzText(37.5,220){$R$} + \tkzDefSetOfPoints{% + 5/15,10/90,15/135,20/170,25/190,30/200,35/230,40/240} +\tkzDrawSetOfPoints[mark = x,mark size=3pt] +\end{tikzpicture} +\end{tkzexample} +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-faq.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-faq.tex new file mode 100644 index 0000000000..031891c855 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-faq.tex @@ -0,0 +1,265 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-fct/doc-fr/TKZdoc-fct-main.tex +\section{Quelques remarques} + +\begin{enumerate} +\item Modification avec les anciennes versions~: + \begin{itemize} + \item \tkzcname{tkzTan} est devenu \tkzcname{tkzDrawTangentLine} + \item Désormais le domaine est donné comme avec \TIKZ\ et ce n'est plus + \parg{$x_a..x_b$} + \item \tkzcname{tkzFctPt} est devenu \tkzcname{tkzDefPointByFct} + \end{itemize} + +\item Quand \tkzname{xstep} est différent de 1, la variable doit être \tkzcname{x}. +\item Quand une fonction est passée en argument à la macro \tkzcname{tkzFct}, elle est stockée avec la syntaxe de \tkzname{gnuplot} dans la macro \tkzcname{tkzFctgnua}. \tkzname{tkzFctgnu} est un préfixe, « a » est la référence associée à la fonction, la fonction suivante dans le même environnement \tkzname{tikzpicture} sera référencée « b » et ainsi de suite... + +Elle est aussi stockée avec la syntaxe de \tkzname{fp.sty} dans la macro \tkzcname{tkzFcta} avec le préfixe \tkzname{tkzFcta}. + +La dernière macro utilisée est également sauvegardée sous les deux syntaxes avec \tkzcname{tkzFctgnuLast} et \tkzcname{tkzFctLast}. +\item Attention dans \tkzname{gnuplot} un quotient doit être entré sous la forme 1./3, car 1/3 donne le quotient d'une division euclidienne (ici 0). +\item Problème avec gnuplot~: + \begin{itemize} + \item Si le fichier xxx.table n'est pas créé, la cause probable est~: + \begin{itemize} + \item soit que \TEX\ ne trouve pas \tkzname{gnuplot}, c'est en général un problème de « PATH », + \item soit \TEX\ n'autorise pas le lancement de \tkzname{gnuplot} alors c'est que l'option \tkzname{shell-escape} n'est pas autorisé. + \end{itemize} + +Une autre possibilité est que le fichier xxx.gnuplot soit incorrect. Il suffit de l'ouvrir avec un éditeur pour lire les commandes passées à \tkzname{gnuplot}. Il est à remarquer un changement de syntaxe de \tkzname{gnuplot} autour de la version 4.2. La syntaxe pour créer une table avec des versions ultérieures (4.4 et bientôt 4.5), est désormais \tkzname{set table}. + + + \item $\pi$ est, avec \tkzname{gnuplot}, défini par \tkzname{pi} + \item $\pi$ est, avec \tkzname{fp.sty} défini par \tkzcname{FPpi}. + \item (set) samples =2 est suffisant pour tracer une droite. + \end{itemize} + + \item La puissance $a^b$ est notée $a \wedge b$ avec fp et pgfmath mais $a**b$ avec gnuplot. + + \item \tkzname{tkz-fct} modife FP@pow (code modifié de Christian Tellechea 2009) afin d'autoriser les puissances entières de nombres négatifs. + + +\item ({1/exp(1)}) est correct mais (1/exp(1)) donne une erreur +\end{enumerate} + +\subsection{Fonctions de \tkzname{gnuplot}} + + +\begin{tabular}{lll} +\toprule +Gnuplot&fp&Description \\ ++ & + & addition\\ +- & - & soustraction\\ +* & * & multiplication\\ +/ & / & division\\ +** & \upp & exponentiation\\ +\% & absente & modulo \\ +pi & pi & constante 3.1415 \\ +abs(x) & abs & Valeur absolue \\ +cos(x) & cos & Arc -cosinus \\ +sin(x) & sin & Arc -cosinus \\ +tan(x) & tan & Arc -cosinus \\ +acos(x) & arccos & Arc -cosinus \\ +asin(x) & arcsin & Arc-sinus \\ +atan(x) & arctan & Arc-tangente \\ +atan2(y,x) & absente & Arc-tangente \\ +\midrule +cosh(x) & absente & Cosinus hyperbolique \\ +sinh(x) & absente & Sinus hyperbolique \\ +acosh(x) & absente & Arc-cosinus hyperbolique \\ +asinh(x) & absente & Arc-sinus hyperbolique \\ +atanh(x) & absente & Arc-tangente hyperbolique \\ +\midrule +besj0(x) & absente & Bessel j0 \\ +besj1(x) & absente & Bessel j1 \\ +besy0(x) & absente & Bessel y0 \\ +besy1(x) & absente & Bessel y1 \\ +\midrule +ceil(x) & absente & Le plus petit entier plus grand que \\ +floor(x) & absente & Plus grand entier plus petit que \\ +absente & trunc(x,n) & troncature $n$ nombre de décimales \\ +absente & round(x,n) & arrondi $n$ nombre de décimales \\ +exp(x) & exp & Exponentielle \\ +log(x) & ln & Logarithme népérien (base e) \\ +log10(x) & absente & Logarithme base 10 \\ +norm(x) & absente & Distribution normale \\ +rand(x) & random & Générateur de nombre pseudo-aléatoire \\ +sgn(x) & absente & Signe \\ +sqrt(x) & absente & Racine carrée \\ +tanh(x) & absente & Tangente hyperbolique \\ +\bottomrule +\end{tabular} + \endinput +fp + + fp.sty ,neg,min,max, + round,trunc,clip,e,pow,root + + + +Toutes les fonctions qui prennent un angle en paramètre considèrent par défaut la valeur donnée comme étant en radians. Pour changer l'unité, il faut utiliser la commande set angles . +Les fonctions ceil et floor renvoient un réel. + Les fonctions erf, erfc, gamma, ibeta, inverf, igamma, invnorm, lgamma et norm agissent sur la partie réelle de leur paramètre. Enfin, la fonction sgn ignore la partie imaginaire + + + + + + rand random (renvoi un nombre entre 0 et 1) + real partie real + sgn renvoi 1 si l'argument est positif, 0 s'il + est nulle, et -1 s'il est négatif + + + help expressions functions pour avoir la liste totale + + + fp + + + + The following macros are public ones to be used in the document: + %controlling messages + \FPmessagestrue % print standard FP-messages (default) + \FPmessagesfalse % suppress standard FP-messages + \FPdebugtrue % print debug messages (mainly for upn) + \FPdebugfalse % suppress debug messages (default) + %introduction of new values + \FPset#1#2 % #1 := #2 (#1 may be macro or string) + %print values + \FPprint#1 % prints #1 (#1 may be macro or string) + %binary operations + \FPadd#1#2#3 % #1 := #2+#3 + \FPdiv#1#2#3 % #1 := #2/#3 + \FPmul#1#2#3 % #1 := #2*#3 + \FPsub#1#2#3 % #1 := #2-#3 + %unary operations + \FPabs#1#2 % #1 := abs(#2) + \FPneg#1#2 % #1 := -#2 + %binary relations + \FPiflt#1#2...\else...\fi % #1 < #2 ? + \FPifeq#1#2...\else...\fi % #1 = #2 ? + \FPifgt#1#2...\else...\fi % #1 > #2 ? + %unary relations + \FPifneg#1 ...\else...\fi % #1 < 0 ? + \FPifpos#1 ...\else...\fi % #1 >= 0 ? + \FPifzero#1...\else...\fi % #1 = 0 ? + \FPifint#1 ...\else...\fi % #1 is integer ? + %repeat last test + \ifFPtest ...\else...\fi % repeat last test + - fp-addons.sty + The following macros are public ones to be used in the document: + %binary operations + \FPmin#1#2#3 % #1 = min(#2,#3) + \FPmax#1#2#3 % #1 = max(#2,#3) + - fp-eqn.sty (No warranty on correctness and especially on numerical problems!) + The following macros are public ones to be used in the document: + \FPlsolve#1#2#3 + % #1 := x with #2*x+#3=0 + \FPqsolve#1#2#3#4#5 + % #1,#2 := x with #3*x^2+#4*x+#5 = 0 + \FPcsolve#1#2#3#4#5#6#7 + % #1,#2,#3 := x with #4*x^3+#5*x^2+#6*x+#7 = 0 + \FPqqsolve#1#2#3#4#5#6#7#8#9 + % #1,#2,#3,#4 := x with #5*x^4+#6*x^3+#7*x^2+#8*x+#9 = 0 + The resulting solutions are all real values. If there do not + exist as much solutions you get a warning message and some + other solutions occur several times in the solution vector. + - fp-exp.sty + The following macros are public ones to be used in the document: + \FPe % 2.718281828459045235 + \FPexp#1#2 % #1 := e^(#2) + \FPln#1#2 % #1 := ln(#2) + \FPpow#1#2#3 % #1 := (#2)^(#3) + \FProot#1#2#3 % #1 := (#2)^(1/#3) + - fp-random.sty + The following macros are public ones to be used in the document: + \FPseed=#1 % set seed counter for random number generation + \FPrandom#1 % #1 := a random number between 0 and 1 + - fp-pas.sty + The following macros are public ones to be used in the document: + \FPpascal#1#2 % #1 := #2-th line of the pascal triangle + - fp-snap.sty: + The following macros are public ones to be used in the document: + \FPround#1#2#3 % #1 := #2 rounded to #3 digits after '.' + \FPtrunc#1#2#3 % #1 := #2 truncated to #3 digits after '.' + \FPclip#1#2 % #1 := #2 with all unnecessary 0's removed + - fp-trigo.sty: + The following macros are public ones to be used in the document: + \FPpi % 3.141592653589793238 + \FPsin#1#2 % #1 := sin(#2) + \FPcos#1#2 % #1 := cos(#2) + \FPsincos#1#2#3 % #1 := sin(#3), #2 := cos(#3) + \FPtan#1#2 % #1 := tan(#2) + \FPcot#1#2 % #1 := cot(#2) + \FPtancot#1#2#3 % #1 := tan(#3), #2 := cot(#3) + \FParcsin#1#2 % #1 := arcsin(#2) + \FParccos#1#2 % #1 := arccos(#2) + \FParcsincos#1#2#3 % #1 := arcsin(#3), #2 := arccos(#3) + \FParctan#1#2 % #1 := arctan(#2) + \FParccot#1#2 % #1 := arccot(#2) + \FParctancot#1#2#3 % #1 := arctan(#3), #2 := arccot(#3) + - fp-upn.sty: + The following macros are public ones to be used in the document: + \FPupn#1#2 % #1 := eval(#2) where eval evaluates the + upn-expression #2 + Known operations are: + +,add,-,sub,*,mul,/,div,abs,neg,min,max, + round,trunc,clip,e,exp,ln,pow,root,pi,sin,cos, + sincos,tan,cot,tancot,arcsin,arccos,arcsincos, + arctan,arccot,arctancot,pop,swap,copy + where + pop removes the top element + swap exchanges the first two elements + copy copies the top element + Example 1: + The macro call + \FPupn\result{17 2.5 + 17.5 - 2 1 + * 2 swap /} + is equivalent to + \result := ((17.5 - (17 + 2.5)) * (2 + 1)) / 2 + and evaluates to + \def\result{-3.000000000000000000} + Afterwards the macro call + \FPupn\result{\result{} -1 * 0.2 + sin 2 round} + ^^ the "{}" is necessary! + is equivalent to + \result := round_2(sin((\result * -1) + 0.2)) + and evaluates to + \def\result{-0.06} + Example 2: + As "result" is an abbreviation of "\result{}" you may + write + \FPupn{result}{17 2.5 + 17.5 - 2 1 + * 2 swap /} + and + \FPupn{result}{result -1 * 0.2 + sin 2 round} + instead leading to the same results. + This is even true for other macro names using e.g. "x" for "\x{}" + and so on. But be careful with it. We may introduce new constants + in further versions overwriting these abbreviations. + - fp-eval.sty: + The following macros are public ones to be used in the document: + \FPeval#1#2 % #1 := eval(#2) where eval evaluates the + expression #2 + ATTENTION: Do not use macro names with \. for its own + Use only the name or the macro surrounded by (, and ) instead, + i.e. do not write "\value{}" but "value" or "(\value)". + This is needed to avoid problems with a prefix "-" of numbers. + (I do not intend to write a more complex parsing routine in future. + But if you do so, just send it to me. + ) + Known infix operations are + +, -, *, /, ^ for add, sub, mul, div, pow + Each other operation is a prefix one that needs + a (comma or colon seperated) list of subexpressions. + Exception: The unary prefix operation - is not known! + (Use the function neg instead.) + Example 1: + With + \edef\result{11} + and + \FPeval\result{round(root(2,sin(result + 2.5)):2)} + or + \FPeval{result}{round(root(2,sin(result + 2.5)):2)} + \result becomes the value 0.90 + Example 2: + \FPeval\result{clip(2*3+5*6)} results to 36 + \FPeval\result{clip(2*(3+5)*6)} results to 96
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-fonctions.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-fonctions.tex new file mode 100644 index 0000000000..0f48a56e8c --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-fonctions.tex @@ -0,0 +1,172 @@ + +\section{Les différentes macros} + +\tkzname{Gnuplot} détermine les points nécessaires pour tracer la courbe. Le nombre de points est fixé par l'option \tkzname{samples}; dans les premiers exemples la valeur du nombre de points est celle donnée par défaut. Ensuite Tikz va utiliser cette table pour tracer la courbe. C'est donc \tkzname{Tikz} qui trace la courbe. + +\subsection{Tracé d'une fonction avec gnuplot \tkzcname{tkzFct}} +Cette première macro est la plus importante car elle permet de tracer la représentation graphique d'une fonction continue .\hypertarget{tfct}{} + +\begin{NewMacroBox}{tkzFct}{\oarg{local options}\var{gnuplot expression}} +{La fonction est donnée en utilisant la syntaxe de gnuplot. x est la variable sauf si \tkzname{xstep} est différent de 1, dans ce cas la variable est \tkzcname{x}.} + +\medskip +\begin{tabular}{lll} +\toprule + options & exemple & explication \\ +\midrule +\TAline{gnuplot expression}{x**3}{** représente la puissance $\wedge$} +\bottomrule +\end{tabular} + +{L'expression est de la forme 2*x+1 ; 3*log(x) ; x*exp(x) ; x*x*x+x*x+x. } + +Les options sont celles de \TIKZ. + +\begin{tabular}{lll} +\toprule +options & défaut & définition \\ +\midrule +\TOline{domain}{xmin:xmax}{domaine de la fonction} +\TOline{samples}{200}{nombre de points utilisés} +\TOline{id} {tkzfct}{permet d'identifier les noms des fichiers auxiliaires} +\TOline{color}{black}{couleur de la ligne} +\TOline{line width} {1pt}{épaisseur de la ligne} +\TOline{style} {solid}{style de la ligne} +\end{tabular} +\end{NewMacroBox} + +\tkzBomb Lorsque \tkzname{xstep} est différent de $1$, il est nécessaire de remplacer $x$ par |\x|. +\tkzHand Il faut bien évidemment avoir initialisé l'environnement à l'aide \tkzcname{tkzInit} avant d'appeler \tkzcname{tkzFct}. +\tkzBomb Attention à ne pas mettre d'espace entre les arguments. +%<---------------------------------------------------------------------------> +\subsection{option : \tkzname{samples}} + +Il faut remarquer que pour tracer une droite seulement deux points sont nécessaires, ainsi le code~: + +\begin{tkzltxexample}[] +\tkzFct[{-(},color=red,samples=2,domain =-1:2]{(8-1.5*\x)/2} +\end{tkzltxexample} + + +donne un fichier xxx.table qui contient ~: + +\begin{tkzltxexample}[] +# Curve 0 of 1, 2 points +# Curve title: "(8-1.5*x)/2" +# x y type +-1.00000 4.75000 i +2.00000 2.50000 i +\end{tkzltxexample} + +Ce qui est simplement suffisant. Plus simple est dans ce cas, de tracer un segment. + +On demande 400 valeurs pour la table qui va permettre le tracé. Par défaut, la valeur choisie est 200. + +\medskip +\begin{tkzexample}[latex=7cm] +\begin{tikzpicture}[scale=1] + \tkzInit[xmax=5,ymax=2] + \tkzGrid[sub] + \tkzAxeXY + \tkzFct[samples=400,domain=.5:5]{1/x} +\end{tikzpicture} +\end{tkzexample} + +%<---------------------------------------------------------------------------> +\subsection{options : \tkzname{xstep, ystep}} + + +\begin{tkzexample}[] +\begin{tikzpicture} +\tkzInit[xmax= 110,xstep=10, + ymax=6,ystep=1] +\tkzDrawX[label={\textit{Age}},below= -18pt] +\tkzLabelX +\tkzDrawY[label={\textit{litres}}] +\tkzFct[domain = 0.1:100 ]{50/\x} +\end{tikzpicture} +\end{tkzexample} + + +\subsection{Modification de \tkzname{xstep} et \tkzname{ystep}} + +Cette fois le domaine s'étend de 0 à 800, les valeurs prises par la fonction de $0$ à $\numprint{2000}$. \tkzname{xstep=100} donc il faut utiliser |\x| à la place de $x$. Une petite astuce au niveau de gnuplot, 1. et 113. permettent d'obtenir une division dans les décimaux sinon la division se fait dans les entiers. + +Ensuite, j'utilise les macros pour placer des points +%<---------------------------------------------------------------------------> +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=1.5] + \tkzInit[xmax=700,xstep=100,ymax=1200,ystep=400] + \tkzGrid(0,0)(700,1200) \tkzAxeXY + \tkzFct[color=red,samples=100,line width=0.8pt,domain =0:700]% + {(1./90000)*\x*\x*\x-(1./100)*\x*\x+(113./36)*\x} +\end{tikzpicture} +\end{tkzexample} + +\subsection{\tkzname{ystep} et les fonctions constantes} + +Attention, ici \tkzname{ystep=6} or \tkzname{gnuplot} donne $80\div=13$. il faut donc écrire $80.$ + +\begin{tkzexample}[vbox] + \begin{tikzpicture}[scale=0.4] + \tkzInit[xmax=30,ymax=90,ystep=6] + \tkzFct[line width=1pt,color=red,dashed,domain=0:30]{80.0} + \tkzFct[line width=1pt,color=blue,domain=0:30]{80/(1.0+4.0*exp(-0.21*x))} + \tkzText[above,color=red](20,80){$P=80$} +\end{tikzpicture} +\end{tkzexample} + +\subsection{Les fonctions affines ou linéaires} +Pour obtenir des droites, on peut utiliser \tkzname{gnuplot} même si l'outil est un peu lourd dans ce cas. Pour alléger les calculs, il est possible de ne demander que deux points ! + +\begin{tkzexample}[vbox] + \begin{tikzpicture}[] + \tkzInit[ymax=20,ystep=5] + \tkzAxeXY + \tkzFct[color=red,domain=0:10,samples=2]{2*x+5} + \tkzFct[color=blue,domain=0:10,samples=2]{-x+15} + \tkzFct[color=green,domain=0:10,samples=2]{7} % 7/5=1 + \tkzFct[color=purple,domain=0:10,samples=2]{7.}%7.0/5 =1.2 +\end{tikzpicture} +\end{tkzexample} + %<---------------------------------------------------------------------------> +\subsection{Sous-grille} + + $y=(x-4)\text{e}^{-0.25x+5}$ + +Il est possible de dessiner une autre grille. + +\begin{tkzexample}[latex=8cm] +\begin{tikzpicture} + \tkzInit[xmin=4,xmax=18,xstep=2, + ymin=20,ymax=90,ystep=10] + \tkzFct[domain = 5:18]% + {(\x-4)*exp(-0.25*\x+5)} + \tkzGrid(4,20)(18,90) + \tkzAxeXY + \tkzGrid[sub, + subxstep=0.5, + subystep=2, + color=brown](6,60)(12,90) +\end{tikzpicture} +\end{tkzexample} +%<---------------------------------------------------------------------------> +\subsection{Utilisation des macros de \tkzname{tkz-base}} +Toutes les macros de \tkzname{tkz-base} sont bien sûr utilisables, en voici quelques exemples. + +\begin{center} + \begin{tkzexample}[vbox] + \begin{tikzpicture}[scale=2] + \tkzInit[xmin=-3,xmax=3, ymin=-1,ymax=3] + \tkzGrid[sub,subxstep=.5,subystep=.5] + \tkzAxeXY + \tkzFct[domain = -3:2]{(2-x)*exp(x)} + \tkzText(-2,1.25){$\mathcal{C}_{f}$} + \tkzDefPoint(2,0){A} \tkzDrawPoint(A) \tkzLabelPoints(A) + \end{tikzpicture} + \end{tkzexample} +\end{center} + + +%<---------------------------------------------------------------------------> +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-fppgf.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-fppgf.tex new file mode 100644 index 0000000000..531287c400 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-fppgf.tex @@ -0,0 +1,58 @@ +\section{Utilisation \tkzname{pgfmath} et de \tkzname{fp.sty} } +%---------------------------------------------------------------------------> +\subsection{\tkzname{pgfmath}} + +On peut faire maintenant beaucoup de tracés sans Gnuplot, voici à titre d'exemple et d'après une idée d'Herbert Voss (le membre le plus actif de la communauté Pstricks) un exemple de courbes obtenues avec seulement Tikz. + +\begin{center} +\begin{tkzexample}[] +\begin{tikzpicture} + \def\Asmall{0.7 } \def\Abig{3 } \def\B{20}%Herbert Voss + \path[fill=blue!40!black,domain=-pi:pi,samples=500,smooth,variable=\t]% + plot({\Abig*cos(\t r)+\Asmall*cos(\B*\t r)},% + {0.5*\Abig*sin(\t r)+0.5*\Asmall*sin(\B*\t r)}); + \def\Asmall{0.7 } \def\Abig{3 } \def\B{10} + \path[shift={(1,1)},fill=blue!40!black,% + domain=-pi:pi,samples=500,smooth,variable=\t]% + plot({\Abig*cos(\t r)+\Asmall*cos(\B*\t r)},% + {0.5*\Abig*sin(\t r)+0.5*\Asmall*sin(\B*\t r)}); +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsection{\tkzname{fp.sty}} + +Le principal problème de \tkzname{fp.sty} se produit lors de l'évaluation par exemple de $(-4)^2$ ce qui peut se traduire avec fp par~: + +\begin{tkzltxexample}[] +\begin{tikzpicture} + \FPeval\result{(-4)^2} +\end{tikzpicture} +\end{tkzltxexample} + +ce qui donne une erreur car fp utilise les logarithmes pour faire cette évaluation. \tkzname{tkz-fct.sty} modifie la macro \tkzcname{FP@pow} pour éviter cette erreur + + Pour calculer les pentes des tangentes et pour placer des points sur les courbes, mon module traduit l'expression donnée pour Gnuplot et la stocke dans une commande \tkzcname{tkzFcta}, pour être utilisée ensuite avec les macros \tkzcname{tkzDefPointByFct}\ et \tkzcname{tkzDrawTangentLine}. +% + +mais si vous voulez placer un point de ce graphe ayant pour abscisse $x=2$, il est alors préférable de choisir la première méthode. + +Sinon pour une fonction polynômiale, il sera nécessaire pour utiliser les macros relatives aux images et aux tangentes de mettre le polynôme sous la forme d'Horner. +Ainsi avec \tkzcname{tkzFct}, l'argument $x^4-2x^3+4x-5$ peut être écrit : |-5+x*(0.5+4*x*(x*(-2+x*1)))|. + +Voici ce qu'il faut donc faire : + +\begin{center} +\begin{tkzexample}[] +\begin{tikzpicture} + \tkzInit[xmin=-0.2,xmax=0.2,xstep=.1, + ymin=-12,ymax=6,ystep=2] + \tkzGrid + \tkzAxeXY + \tkzFct[domain = -.1:.2]% + {-5+x*(0.5+4*x*(x*(-2+x*1)))} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-installation.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-installation.tex new file mode 100644 index 0000000000..a33f5b995d --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-installation.tex @@ -0,0 +1,8 @@ +\section{Installation de \tkzNamePack{tkz-fct}} + \tkzname{tkz-fct} est présent sur le serveur du \tkzname{CTAN} et fait partie de \NameDist{TeXLive} donc il est bientôt possible de l'installer avec \tkzname{tlmgr}. Ce package fait aussi partie de \NameDist{MikTeX} sous \NameSys{Windows}. + + Vérifier que \tkzname{TikZ 3..}\index{TikZ@TikZ} est installé car c'est la version minimum pour le bon fonctionnement de \tkzname{tkz-fct}. \tkzNamePack{tkz-base} doit aussi être installé, de même le binaire « gnuplot» doit être installé sur votre ordinateur. \tkzNamePack{fp.sty} est intensément utilisé mais il est présent dans toutes les distributions. + + +\endinput + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-interpolation.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-interpolation.tex new file mode 100644 index 0000000000..822844b18d --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-interpolation.tex @@ -0,0 +1,97 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-fct/doc-fr/TKZdoc-fct-main.tex +\subsection{Interpolation} + +Il s'agit ici de trouver un polynôme d'interpolation sur l'intervalle $[-1~;~1]$ de la fonction $f$ définie par : +\[ + f(x)=\frac{1}{1+8x^2} +\] + +Le polynôme d'interpolation est celui obtenu par la méthode de \tkzimp{Lagrange} : +\begin{equation*} +\begin{split} + P(x) = &1.000000000-0.0000000072x-7.991424876x^2+0.000001079x^3+62.60245358x^4\\ + & -0.00004253x^5-444.2347594x^6+0.0007118x^7+ 2516.046396x^8 -0.005795x^9\\ &-10240.01777x^{10} +0.025404x^{11}+28118.29594x^{12} -0.05934x^{13} -49850.83249x^{14} \\ +& +0.08097x^{15}+54061.87086x^{16} -0.055620x^{17} -32356.67279x^{18} +0.015440x^{19}\\ +&+8140.046421x^{20}\\ +\end{split} +\end{equation*} + +Ayant utilisé vingt et un points, le polynôme est de degré $20$. Celui-ci est écrit en utilisant la méthode de \tkzimp{Horner}. Dans un premier temps, on demande à gnuplot de tracer la courbe de f en rouge, enfin on trace le polynôme d'interpolation en bleu. Les points utilisés sont en jaune. + +\subsubsection{Le code} +\begin{tkzexample}[code only] +\begin{tikzpicture} +\tkzInit[xmin=-1,xmax=1,ymin=-1.8,ymax=1.2,xstep=0.1,ystep=0.2] +\tkzGrid +\tkzAxeXY +\tkzFct[samples = 400, line width=4pt, color = red,opacity=.5](-1---1){1/(1+8*\x*\x)} + \tkzFct[smooth,samples = 400, line width=1pt, color = blue,domain =-1:1]% +{1.0+(((((((((((((((((((( + 8140.04642)*\x + +0.01544)*\x + -32356.67279)*\x + -0.05562)*\x + +54061.87086)*\x + +0.08097)*\x + -49850.83249)*\x + -0.05934)*\x + +28118.29594)*\x + +0.02540)*\x + -10240.01777)*\x + -0.00580)*\x + +2516.04640)*\x + +0.00071)*\x + -444.23476)*\x + -0.00004)*\x + +62.60245)*\x + +0.00000)*\x + -7.99142)*\x + -0.00000)*\x} + \tkzSetUpPoint[size=16,color=black,fill=yellow] + \foreach \v in {-1,-0.8,---.,1}{\tkzDefPointByFct[draw](\v)} +\end{tikzpicture} +\end{tkzexample} + +Le résultat est sur la page suivante où on peut constater le phénomène de \tkzimp{Runge}. +\subsubsection{la figure} + +\begin{sidewaysfigure}[htbp] +\centering +\begin{tikzpicture}[scale=.75] +\tkzInit[xmin=-1,xmax=1,ymin=-1.8,ymax=1.2,xstep=0.1,ystep=0.2] +\tkzGrid +\tkzAxeXY +\tkzFct[samples = 400, line width=4pt, color = red,opacity=.5,domain =-1:1]% +{1/(1+8*\x*\x)} + \tkzFct[samples = 400, line width=1pt, color = blue,domain =-1:1]% +{1.0+ +(((((((((((((((((((( + 8140.04642)*\x + +0.01544)*\x + -32356.67279)*\x + -0.05562)*\x + +54061.87086)*\x + +0.08097)*\x + -49850.83249)*\x + -0.05934)*\x + +28118.29594)*\x + +0.02540)*\x + -10240.01777)*\x + -0.00580)*\x + +2516.04640)*\x + +0.00071)*\x + -444.23476)*\x + -0.00004)*\x + +62.60245)*\x + +0.00000)*\x + -7.99142)*\x + -0.00000)*\x} + \tkzSetUpPoint[size=8,color=black,fill=yellow] + \foreach \v in {-1,-0.8,---.,1}% + {\tkzDefPointByFct[draw](\v)} +\end{tikzpicture} +\caption{Interpolation : $\dfrac{1}{1+8x^2}$} +\end{sidewaysfigure} + +\endinput + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-label.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-label.tex new file mode 100644 index 0000000000..52a46a3555 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-label.tex @@ -0,0 +1,36 @@ +\section{Labels} + +Ce qui est souhaitable, c'est de pouvoir nommer les courbes. Prenons comme exemple, la fonction $f$ définie par : + +\[ + x>0\ \text{et}\ f(x)=\dfrac{x^2+1}{x^3} +\] + +Il est assez aisé de mettre un titre en utilisant la macro \tkzcname{tkzText} du package \tkzname{tkz-base}. Les coordonnées utilisées font référence aux unités des axes du repère. Pour placer un texte le long de la courbe, le plus simple est choisir un point de la courbe, puis d'utiliser celui-ci pour afficher le texte. + +\begin{tkzltxexample}[num] + \tkzDefPointByFct(3) + \tkzText[above right](tkzPointResult){${\mathcal{C}}_f$} +\end{tkzltxexample} + +La première ligne détermine un point de la courbe. Ce point est rangé dans \tkzname{tkzPointResult}. Il suffit d'utiliser \tkzcname{tkzText} avec ce point comme argument comme le montre la seconde ligne. Les options de \TIKZ\ permettent d'affiner le résultat. + +\subsection{Ajouter un label} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \tkzInit[xmin=0,xmax=10, + ymin=0,ymax=1.2,ystep=0.2] + \tkzGrid + \tkzAxeXY + \tkzClip + \tkzFct[thick,color=red,domain=0.55:10]{(\x*\x+\x-1)/(\x**3)} + \tkzText(3,-0.3){\textbf{Courbe de} $\mathbf{f}$} + \tkzDefPointByFct(3) + \tkzText[above right,text=red](tkzPointResult){${\mathcal{C}}_f$} +\end{tikzpicture} +\end{tkzexample} +\end{center} + + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-liste.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-liste.tex new file mode 100644 index 0000000000..b84191a233 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-liste.tex @@ -0,0 +1,41 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-fct/doc-fr/TKZdoc-fct-main.tex +\section{Liste de toutes les macros} + +\subsection{Liste de toutes les macros fournies par ce package} + +\begin{itemize} +\item \tkzhname{\hyperlink{tfct}{tkzFct}}[samples=200,domain=-5:5,color=black,id=tkzfct]\var{gnuplot's expression} +\item \tkzhname{\hyperlink{tptfct}{tkzDefPointByFct}}[draw=false]\parg{point's name} --> tkzPointResult +\item \tkzhname{\hyperlink{tdtl}{tkzDrawTangentLine}}[draw=false,color=black,kr=1,kl=1,style=solid,with=a]\parg{point's name} +\item \tkzhname{\hyperlink{tda}{tkzDrawArea}}[domain=-5:5,color=lightgray,opacity=.5] +\item \tkzhname{\hyperlink{tda}{tkzArea}}[domain=-5:5,color = lightgray,opacity=.5] +\item \tkzhname{\hyperlink{tdafg}{tkzDrawAreafg}}[domain=-5:5,between= a and b] +\item \tkzhname{\hyperlink{tdafg}{tkzAreafg}}[domain=-5:5,between= a and b] +\item \tkzhname{\hyperlink{tfpa}{tkzFctPar}}[samples=200,domain=-5:5, + line width=1pt,id=tkzfctpar]{$x(t)$}{$y(t)$} +\item \tkzhname{\hyperlink{tfpo}{tkzFctPolar}}[samples=200,domain=0:2*pi, + line width=1pt,id=tkzfctpolar]{$\rho(t)$} +\item \tkzhname{\hyperlink{tdrs}{tkzDrawRiemannSum}}[interval=1:2,number=10,fill=gray] +\item \tkzhname{\hyperlink{tdrsi}{tkzDrawRiemannSumInf}} [interval=1:2,opacity=.5,fill=gray] +\item \tkzhname{\hyperlink{tdrss}{tkzDrawRiemannSumSup}} [interval=1:2,number=10,fill=gray] +\item \tkzhname{\hyperlink{tdrsm}{tkzDrawRiemannSumMid}}[interval=1:2,opacity=1,fill=gray] +\end{itemize} + +\subsection{Liste de toutes des macros essentielles de \tkzcname{tkz-base}} + +\begin{itemize} +\item \tkzcname{tkzInit}[xmin=0,xmax=10,xstep=1,ymin=0,ymax=10,ystep=1] +\item \tkzcname{tkzAxeX} +\item \tkzcname{tkzDrawX} +\item \tkzcname{tkzLabelX} +\item \tkzcname{tkzAxeY} +\item \tkzcname{tkzDrawY} +\item \tkzcname{tkzLabelY} +\item \tkzcname{tkzGrid} +\item \tkzcname{tkzClip} +\item \tkzcname{tkzDefPoint} +\item \tkzcname{tkzDrawPoint} +\item \tkzcname{tkzPointShowCoord} +\item \tkzcname{tkzLabelPoint} +\end{itemize} +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-main.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-main.tex new file mode 100644 index 0000000000..1293a8885d --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-main.tex @@ -0,0 +1,163 @@ +% !TEX TS-program = lualatex +% encoding : utf8 +% doc de tkz-euclide.sty +% Created by Alain Matthes on 2020-01-02. +% Copyright (C) 2020 Alain Matthes +% +% This file may be distributed and/or modified +% +% 1. under the LaTeX Project Public License , either version 1.3 +% of this license or (at your option) any later version and/or +% 2. under the GNU Public License. +% +% See the file doc/generic/pgf/licenses/LICENSE for more details.% +% See http://www.latex-project.org/lppl.txt for details. + +% TKZdoc-euclide-main is the french doc of tkz-euclide +\documentclass[DIV = 14, + fontsize = 10, + headinclude = false, + index = totoc, + footinclude = false, + twoside, + headings = small + ]{tkz-doc} +\usepackage{etoc} +\gdef\tkznameofpack{tkz-fct} +\gdef\tkzversionofpack{1.2c} +\gdef\tkzdateofpack{2020/02/03} +\gdef\tkznameofdoc{doc-tkz-fc} +\gdef\tkzversionofdoc{1.2c} +\gdef\tkzdateofdoc{2020/02/03} +\gdef\tkzauthorofpack{Alain Matthes} +\gdef\tkzadressofauthor{} +\gdef\tkznamecollection{AlterMundus} +\gdef\tkzurlauthor{} +\gdef\tkzengine{lualatex} +\gdef\tkzurlauthorcom{http://altermundus.fr} +% -- Packages --------------------------------------------------- +\usepackage[dvipsnames,svgnames]{xcolor} +\usepackage{calc} +\usepackage{tkz-euclide,tkz-fct,alterqcm,tkz-tab} +\usetikzlibrary{babel} +\usetikzlibrary[shapes.geometric] +\usepackage[colorlinks]{hyperref} +\hypersetup{ + linkcolor=BrickRed, + citecolor=Green, + filecolor=Mulberry, + urlcolor=NavyBlue, + menucolor=BrickRed, + runcolor=Mulberry, + linkbordercolor=BrickRed, + citebordercolor=Green, + filebordercolor=Mulberry, + urlbordercolor=NavyBlue, + menubordercolor=BrickRed, + runbordercolor=Mulberry, + pdfsubject={2d function}, + pdfauthor={\tkzauthorofpack}, + pdftitle={\tkznameofpack}, + pdfcreator={\tkzengine} +} +\usepackage{tkzexample} +\usepackage{mathtools} +\usepackage{unicode-math} +\usepackage{fourier-otf} +\setmainfont[Ligatures=TeX]{TeX Gyre Pagella} +\setmathfont{TeX Gyre Pagella Math} +\usepackage{datetime,multicol} +\usepackage[french]{babel} +\usepackage[autolanguage]{numprint} +\usepackage{microtype} +\usepackage{rotating,ipa} +\usepackage{array,multirow,multido,booktabs} +\usepackage{shortvrb,fancyvrb} +\renewcommand{\labelitemi}{\lefthand} +\AtBeginDocument{\MakeShortVerb{\|}} % link to shortvrb +\pdfcompresslevel=9 +\setlength\parindent{0pt} +\RequirePackage{makeidx} +%\def\tkzFileSavedPrefix{tkzFct} +\makeindex +% \def\tkzref{\arabic{section}-\arabic{subsection}-\arabic{subsubsection}} +% \renewenvironment{tkzexample}[1][]{% +% \tkz@killienc \VerbatimOut{tkzfct-\tkzref.tex}% +% }{% +% \endVerbatimOut +% } +% \usepackage[saved]{tkzexample} +%<---------------------------------------------------------------------------> +\begin{document} + +\parindent=0pt +\author{\tkzauthorofpack} +\title{\tkznameofpack} +\date{\today} +\clearpage +\thispagestyle{empty} +\maketitle + +\clearpage +\tkzSetUpColors[background=white,text=darkgray] + +\let\rmfamily\ttfamily +\nameoffile{\tkznameofpack} + + \defoffile{\tkzname{\tkznameofpack} est un package pour créer à l'aide de \TIKZ\ , des représentations graphiques de fonctions en 2D le plus simplement possible. Il est dépendant de \TIKZ\ et fera partie d'une série de modules ayant comme point commun, la création de dessins utiles dans l'enseignement des mathématiques. Ce package nécessite la version 3.x de \TIKZ et une version 3 de tkz-base.} + +\presentation + +\vspace*{24pt} +\noindent\lefthand\ Je souhaite remercier \tkzimp{Till Tantau} pour avoir créé le merveilleux outil \TIKZ\ . + + +\vspace*{12pt} +\noindent\lefthand\ Je souhaite remercier aussi \tkzimp{David Arnold} qui a corrigé un grand nombre d'erreurs et qui a testé de nombreux exemples, \tkzimp{Wolfgang Büchel} qui a corrigé également des erreurs et a construit de superbes scripts pour obtenir les fichiers d'exemples, \tkzimp{John Kitzmiller} et ses exemples, et enfin \tkzimp{Gaétan Marris} pour ses remarques . + +\vspace*{12pt} +\noindent\lefthand\ Vous trouverez de nombreux exemples sur mon site~: +\href{http://altermundus.fr/}{altermundus.fr} + +\vfill +Vous pouvez envoyer vos remarques, et les rapports sur des erreurs que vous aurez constatées à l'adresse suivante~: \href{mailto:al.ma@mac.com}{\textcolor{blue}{Alain Matthes}}. + +This file can be redistributed and/or modified under the terms of the LATEX +Project Public License Distributed from CTAN archives. + + +\clearpage +\tableofcontents + +\clearpage +\newpage + + \setlength{\parskip}{1ex plus 0.5ex minus 0.2ex} +% %<---------------------------- the files ------------------------------------> +% +\include{TKZdoc-fct-why} +\include{TKZdoc-fct-installation} +\include{TKZdoc-fct-compilation} +\include{TKZdoc-fct-fonctions} +\include{TKZdoc-fct-point} +\include{TKZdoc-fct-label} +\include{TKZdoc-fct-tangent} +\include{TKZdoc-fct-area} +\include{TKZdoc-fct-riemann} +\include{TKZdoc-fct-asymptote} +\include{TKZdoc-fct-param} +\include{TKZdoc-fct-polar} +\include{TKZdoc-fct-symbol} +\include{TKZdoc-fct-example} +\include{TKZdoc-fct-interpolation} +\include{TKZdoc-fct-VDW} +\include{TKZdoc-fct-bac} +\include{TKZdoc-fct-fppgf} +\include{TKZdoc-fct-faq} +\include{TKZdoc-fct-liste} +% %<---------------------------------------------------------------------------> +\clearpage\newpage +\begin{multicols}{2} +\small\printindex +\end{multicols} +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-param.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-param.tex new file mode 100644 index 0000000000..102ff07534 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-param.tex @@ -0,0 +1,179 @@ +\section{Courbes avec équations paramétrées} + \hypertarget{tfpa}{} +\begin{NewMacroBox}{tkzFctPar}{\oarg{local options}\marg{$x(t)$}\marg{$y(t)$}} + {$x(t)$ et $y(t)$ sont des expressions utilisant la syntaxe de \tkzname{gnuplot}. La variable est $t$.} + +\medskip +\begin{tabular}{lll} + \toprule + options & exemple & explication \\ + \midrule +\TAline{$x(t)$,$y(t)$}{\tkzcname{tkzFctPar[0:1]}\{\tkzcname{t**3}\}\{\tkzcname{t**2}\}}{$x(t)=t^3$,$y(t)=t^2$ } + \bottomrule +\end{tabular} + +Les options sont celles de \TIKZ. + +\begin{tabular}{lll} +\toprule +options & défaut & définition \\ +\midrule +\TOline{domain}{-5:5}{domaine de la fonction} +\TOline{samples}{200}{nombre de points utilisés} +\TOline{id} {tkzfonct}{permet d'identifier les noms des fichiers auxiliaires} +\TOline{color}{black}{couleur de la ligne} +\TOline{line width} {0.4pt}{épaisseur de la ligne} +\TOline{style} {solid}{style de la ligne} +\bottomrule +\end{tabular} + \end{NewMacroBox} + +\subsection{Courbe paramétrée exemple 1} + +\begin{align*} +x(t) &=t- \sin(t)\\ +y(t) &=1-\cos(t)\\ +\end{align*} + +\begin{center} +\begin{tkzexample}[] +\begin{tikzpicture} + \tkzInit[ymax=2.25,ystep=.5] \tkzGrid + \tkzAxeXY + \tkzFctPar[samples=400,domain=0:2*pi]{(t-sin(t))}{(1-cos(t))} +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\newpage +\subsection{Courbe paramétrée exemple 2} + +\begin{align*} +x(t) &=t\times \sin(t)\\ +y(t) &=t\times \cos(t)\\ +\end{align*} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=1.25] + \tkzInit[xmin=-50,xmax=50,xstep=10, + ymin=-50,ymax=50,ystep=10] + \tkzGrid + \tkzAxeXY + \tkzFctPar[smooth,samples=200,domain=0:50]{t*sin(t)}{t*cos(t)} +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\newpage +\subsection{Courbe paramétrée exemple 3} +\begin{align*} +x(t) &=\exp(t)\times \sin(t)\\ +y(t) &=\exp(t)\times \cos(t)\\ +\end{align*} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=1.5] + \tkzInit[xmin=-2,xmax=10,xstep=2,ymin=-10,ymax=4,ystep=2] + \tkzGrid[sub] + \tkzAxeX[step=2] + \tkzAxeY[step=2] + \tkzFctPar[samples=400,domain=-pi:pi]{exp(t)*sin(t)}{exp(t)*cos(t)} +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\newpage + +\subsection{Courbe paramétrée exemple 4} +\begin{align*} +x(t) &=\cos^3(t)\\ +y(t) &=\sin^3(t)\\ +\end{align*} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=1.25] + \tkzInit[xmin=-1,xmax=1,xstep=.2, + ymin=-1,ymax=1,ystep=.2] + \tkzFctPar[color=red, + line width=2pt, + fill=orange, + opacity=.4, + samples=400, + domain=0:2*pi]{(cos(t))**3}{(sin(t))**3} +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\newpage +\subsection{Courbe paramétrée exemple 5} +Saint Valentin version 1 +\begin{align*} +x(t) &=\sin^3(t)\\ +y(t) &=\cos(t)-\cos^4(t)\\ +\end{align*} + + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=4] + \tkzInit[xmin=-1,xmax=1,ymin=-2,ymax=1] + \tkzClip + \tkzFctPar[samples=500,smooth,domain=-pi:pi, + ball color=red,shading=ball]% + {(sin(t))**3}{cos(t)-(cos(t))**4} +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\newpage +\subsection{Courbe paramétrée exemple 6} +Saint Valentin version 2 from \url{http://mathworld.wolfram.com/HeartCurve.html} + +\begin{align*} +x(t) &=\sin(t)\cos(t)\log(|t|)\\ +y(t) &=\sqrt{(|t|)\cos(t)}\\ +\end{align*} + + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=1.5] + \tkzInit[xmin=-.4,xmax=.4,xstep=.1,ymin=0,ymax=.7,ystep=.1] + \tkzClip + \tkzFctPar[samples=2000,smooth,domain=-1:1, + ball color=red,shading=ball]% + {sin(t)*cos(t)*log(abs(t))}{sqrt(abs(t))*cos(t)} +\end{tikzpicture} +\end{tkzexample} +\end{center} + + + \newpage +\subsection{Courbe paramétrée exemple 7} +Saint Valentin version 3 from \url{http://en.wikipedia.org/wiki/Heart_(symbol)} + +\begin{align*} +x(t) &=16\sin^3(t)\\ +y(t) &=13\cos(t)-5\cos(2t)-2cos(3t)-cos(4t)\\ +\end{align*} + + +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=1.75] + \tkzInit[xmin=-20,xmax=20,xstep=5,ymin=-25,ymax=15,ystep=5] + \tkzClip + \tkzFctPar[samples=400,smooth,domain=0:6.28, + ball color=red,shading=ball]% + {16*(sin(t))**3}{13*cos(t)-5*cos(2*t)-2*cos(3*t)-cos(4*t)} +\end{tikzpicture} +\end{tkzexample} +\endinput + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-point.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-point.tex new file mode 100644 index 0000000000..9368e72ebd --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-point.tex @@ -0,0 +1,165 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-fct/doc-fr/TKZdoc-fct-main.tex + +\section{Placer un point sur une courbe} \hypertarget{tptfct}{} + +\begin{NewMacroBox}{tkzDefPointByFct}{\parg{$decimal number$}} +{Cette macro permet de calculer l'image par la fonction définie précédemment, d'un nombre décimal.} + +\medskip +\begin{tabular}{lll} + \toprule + argument & exemple & explication \\ + \midrule + \TAline{decimal number}{\tkzcname{tkzDefPointByFct(0)}}{définit un point d'abscisse $0$} + \bottomrule +\end{tabular} + +\begin{tabular}{lll} + option & defaut & explication \\ + \midrule + \TOline{draw}{false}{permet de tracer le point avec le style courant} + \TOline{with}{a}{permet de choisir la fonction} + \TOline{ref}{empty}{permet de donner une référence au point} + \bottomrule +\end{tabular} + +{C'est donc la dernière fonction définie qui est utilisée. Si une autre fonction, est utilisée alors il faut utiliser l'ancienne macro \tkzcname{tkzFctPt}. Le point est défini sous un nom générique \tkzname{tkzPointResult} mais non tracé. Afin de le tracer il faut utiliser la macro \tkzcname{tkzDrawPoint}.} +\end{NewMacroBox} + +\subsection{Exemple avec \tkzcname{tkzGetPoint}} +Cela permet de référencer le point créé par \tkzcname{tkzDefPointByFct}. + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=1.25] + \tkzInit[xmin=-2,xmax=2,xstep=1, + ymin=-8,ymax=24,ystep=8] + \tkzGrid \tkzAxeXY + \tkzFct[domain =-1.5:1]{3.0-1.3125*x**5-2.5*x**3} + \tkzDefPointByFct(.5) \tkzGetPoint{A}\tkzDrawPoint(A) + \tkzLabelPoint[above right](A){$A_0$} +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\newpage +\subsection{Exemple avec \tkzcname{tkzGetPoint} et \tkzname{tkzPointResult}} +Il est possible de ne pas référencer le point et d'utiliser la référence générique. + +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture}[scale=1.25] + \tkzInit[xmin=-2,xmax=2,xstep=1, + ymin=-8,ymax=24,ystep=8] + \tkzGrid + \tkzAxeXY + \tkzFct[domain =-1.5:1]{3.0-1.3125*x**5-2.5*x**3} + \tkzDefPointByFct(.5) + \tkzDrawPoint(tkzPointResult) + % ou bien \tkzDefPointByFct[draw](.5) +\end{tikzpicture} +\end{tkzexample} + +\subsection{Options \tkzname{draw} et \tkzname{ref}} +Cela permet de tracer un point directement avec les options usuelles donc sans possibilités de personnaliser et d'attribuer une référence à ce point. + +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture}[scale=1.25] + \tkzInit[xmin=-2,xmax=2,xstep=1, + ymin=-8,ymax=24,ystep=8] + \tkzGrid + \tkzAxeXY + \tkzFct[domain =-1.5:1]{3.0-1.3125*x**5-2.5*x**3} + \tkzDefPointByFct[draw,ref=A](.5) + \tkzLabelPoint[above right](A){$a$} +\end{tikzpicture} +\end{tkzexample} + +\newpage +\subsection{Placer des points sans courbe} +Attention, ceci est délicat. Il suffit de définir la macro \tkzcname{tkzFctLast} qui est la dernière expression traduite avec la syntaxe de \tkzname{fp.sty}. Les points sont donc déterminer avec \tkzname{fp.sty}. + +\begin{tkzexample}[] +\begin{tikzpicture}[xscale=3,yscale=2] + \tkzInit[xmin=-2,xmax=2,xstep=1, + ymin=-8,ymax=24,ystep=8] + \tkzGrid + \tkzAxeXY + \global\edef\tkzFctLast{3.0-1.3125*x^5-2.5*x^3} + \foreach \va in {-1.5,-1.4,...,1}{% + \tkzDefPointByFct[draw](\va)} +\end{tikzpicture} +\end{tkzexample} + +\newpage\null +\subsection{Placer des points sans se soucier des coordonnées} + +Cette fois le domaine s'étend de 0 à 800, les valeurs prises par la fonction de $0$ à $\numprint{2000}$. \tkzname{xstep=100} donc il faut utliser |\x| à la place de $x$. Une petite astuce au niveau de gnuplot, 1. et 113. permettent d'obtenir une division dans les décimaux sinon la division se fait dans les entiers. + +Ensuite, j'utilise les macros pour placer des points + +\begin{tkzexample}[] +\begin{tikzpicture}[scale=1.6] + \tkzInit[xmin = 0, xmax = 800, + ymin = 0, ymax = 2000, + xstep = 100,ystep = 400] + \tkzGrid + \tkzAxeXY + \tkzFct[color = blue, + domain = 0:800]% + {(1./90000)*\x*\x*\x-(1./100)*\x*\x+(113./36)*\x} + \foreach \va in {0,450,800}{% + \tkzDefPointByFct[draw](\va)} +\end{tikzpicture} +\end{tkzexample} + +\newpage +\subsection{Placer des points avec deux fonctions} + +\medskip +Revoir \tkzcname{tkzSetUpPoint} et \tkzcname{tkzText} du module \tkzname{tkz-base.sty} + + +\begin{tkzexample}[code only] +\begin{tikzpicture}[scale=4] + \tkzInit[xmax=3,ymax=2] + \tkzAxeX + \tkzAxeY + \tkzGrid(0,0)(3,2) + \tkzFct[color = red,domain = 1./3:3]{0.125*(3*x-1)+0.375*(3*x-1)/(x*x)} + \tkzFct[color = green,domain = 1./3:3]{0.125*(3*x-1)} + \tkzSetUpPoint[shape=circle, size = 10, color=black, fill=lightgray] + \tkzDefPointByFct[draw,with = a](1) + \tkzDefPointByFct[draw,with = a](2) + \tkzDefPointByFct[draw,with = a](3) + \tkzDefPointByFct[draw,with = b](3) + \tkzDefPointByFct[draw,with = b](1/3) + \tkzText[draw,color= red,fill=red!20](1,1.5) % + {$f(x)=\frac{1}{8}(3x-1)+\frac{3}{8}% + \left(\frac{3x-1}{x^2}\right)$} + \tkzText[draw,color= green!50!black,fill=green!20]% + (2,0.3){$g(x)=\frac{1}{8}(3x-1)$} +\end{tikzpicture} +\end{tkzexample} + +\begin{tikzpicture}[scale=4] + \tkzInit[xmax=3,ymax=2] + \tkzAxeX + \tkzAxeY + \tkzGrid(0,0)(3,2) + \tkzFct[color = red,domain = 1./3:3]{0.125*(3*x-1)+0.375*(3*x-1)/(x*x)} + \tkzFct[color = green,domain = 1./3:3]{0.125*(3*x-1)} + \tkzSetUpPoint[shape=circle, size = 10, color=black, fill=lightgray] + \tkzDefPointByFct[draw,with = a](1) + \tkzDefPointByFct[draw,with = a](2) + \tkzDefPointByFct[draw,with = a](3) + \tkzDefPointByFct[draw,with = b](3) + \tkzDefPointByFct[draw,with = b](1/3) + \tkzText[draw,color= red,fill=red!20](1,1.5) % + {$f(x)=\frac{1}{8}(3x-1)+\frac{3}{8}% + \left(\frac{3x-1}{x^2}\right)$} + \tkzText[draw,color= green!50!black,fill=green!20]% + (2,0.3){$g(x)=\frac{1}{8}(3x-1)$} +\end{tikzpicture} + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-polar.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-polar.tex new file mode 100644 index 0000000000..907df34ad0 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-polar.tex @@ -0,0 +1,135 @@ +\section{Courbes en coordonnées polaires} + + \hypertarget{tfpo}{} +\begin{NewMacroBox}{tkzFctPolar}{\oarg{local options}\marg{$f(t)$}} + {$f(t)$ est une expression utilisant la syntaxe de \tkzname{gnuplot}. } + +\medskip +\begin{tabular}{lll} + \toprule + options & exemple & explication \\ + \midrule +\TAline{$x(t)$,$y(t)$}{\tkzcname{tkzFctPar[0:1]}\{\tkzcname{t**3}\}\{\tkzcname{t**2}\}}{$x(t)=t^3$,$y(t)=t^2$ } + \bottomrule +\end{tabular} + +Les options sont celles de \TIKZ. + +\begin{tabular}{lll} +\toprule +options & défaut & définition \\ +\midrule +\TOline{domain}{0:2*pi}{domaine de la fonction} +\TOline{samples}{200}{nombre de points utilisés} +\TOline{id} {tkzfonct}{permet d'identifier les noms des fichiers auxiliaires} +\TOline{color}{black}{couleur de la ligne} +\TOline{line width} {0.4pt}{épaisseur de la ligne} +\TOline{style} {solid}{style de la ligne} +\bottomrule +\end{tabular} + +\medskip +{ \tkzname{gnuplot} définit $\pi$ avec \tkzname{pi} et \tkzname{fp.sty} avec \tkzcname{FPpi}. Les valeurs qui déterminent le domaine sont évaluées par \tkzname{fp.sty}. Il est possible d'utiliser soit \tkzname{pi}, soit \tkzcname{FPpi}.} + \end{NewMacroBox} + +\subsection{Équation polaire exemple 1} + +$ \rho(t)= \cos(t)*\sin(t) $ + +\begin{tkzexample}[latex=8cm] +\begin{tikzpicture}[scale=0.75] + \tkzInit [xmin=-0.5,xmax=0.5, + ymin=-0.5,ymax=0.5, + xstep=0.1,ystep=.1] + \tkzDrawX \tkzDrawY + \tkzFctPolar[domain=-2*pi:2*pi]{cos(t)*sin(t)} +\end{tikzpicture} +\end{tkzexample} + +\newpage +\subsection{Équation polaire exemple 2} +$ \rho(t)= \cos(2*t) $ + +\begin{center} +\begin{tkzexample}[] +\begin{tikzpicture}[scale=1.25] + \tkzInit [xmin=-1,xmax=1, + ymin=-1,ymax=1, + xstep=.2,ystep=.2] + \tkzDrawX \tkzDrawY + \tkzFctPolar[domain=0:2*pi]{cos(2*t)} +\end{tikzpicture} +\end{tkzexample} +\end{center} + + + \newpage + \subsection{Équation polaire Heart} +From Mathworld : \url{http://mathworld.wolfram.com/HeartCurve.html} + + $\rho(t)= 2-2*\sin(t)+\sin(t)*\sqrt(|\cos(t)|)/(\sin(t)+1.4 $ + +\vspace{2cm} +\begin{center} +\begin{tkzexample}[] +\begin{tikzpicture}[scale=3] + \tkzInit[xmin=-5,xmax=5,ymin=-5,ymax=5] + \tkzFctPolar[domain = -pi:pi, + samples = 800, + ball color = red, + shading = ball]% + {2-2*sin(t)+sin(t)*sqrt(abs(cos(t)))/(sin(t)+1.4)} +\end{tikzpicture} +\end{tkzexample} +\end{center} + + \subsection{Équation polaire exemple 4} + $\rho(t)= 1-sin(t)$ + +\vspace{2cm} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=4] + \tkzInit [xmin=-5,xmax=5,ymin=-5,ymax=5,xstep=1,ystep=1] + \tkzFctPolar[domain=0:2*pi,samples=400]{ 1-sin(t) } +\end{tikzpicture} +\end{tkzexample} +\end{center} + + + \newpage +\subsection{Équation polaire Cannabis ou Marijuana Curve} + Cannabis curve from mathworld : \url{http://mathworld.wolfram.com/CannabisCurve.html} + +$ \rho(t)=(1+.9*\cos(8*t))*(1+.1*\cos(24*t))*(1+.1*\cos(200*t))*(1+\sin(t)) $ + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=2.5] + \tkzInit [xmin=-5,xmax=5,ymin=-5,ymax=5,xstep=1,ystep=1] + \tkzFctPolar[domain=0:2*pi,samples=1000]% + { (1+.9*cos(8*t))*(1+.1*cos(24*t))*(1+.1*cos(200*t))*(1+sin(t)) } +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\newpage +\subsection{Scarabaeus Curve} +From mathworld : \url{http://mathworld.wolfram.com/Scarabaeus.html} + +$\rho(t)=1.6*\cos(2*t)-3*\cos(t) $ + +\vspace{2cm} +\begin{center} +\begin{tkzexample}[] +\begin{tikzpicture}[scale=2.5] + \tkzInit [xmin=-5,xmax=5,ymin=-5,ymax=5,xstep=1,ystep=1] + \tkzFctPolar[domain=0:2*pi,samples=400]{1.6*cos(2*t)-3*cos(t) } + \end{tikzpicture} + \end{tkzexample} +\end{center} + + +\endinput + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-riemann.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-riemann.tex new file mode 100644 index 0000000000..d60148ba7e --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-riemann.tex @@ -0,0 +1,86 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-fct/doc-fr/TKZdoc-fct-main.tex +\section{Sommes de Riemann} + \hypertarget{tdrs}{} + +\begin{NewMacroBox}{tkzDrawRiemannSum}{\oarg{local options}\marg{$f(t)$}} + Cette macro permet de représenter les rectangles intervenant dans une somme de Riemann. Les options sont celles de \TIKZ, plus + +\begin{tabular}{lll} +\toprule +options & défaut & définition \\ +\midrule +\TOline{iterval}{1:2}{l'intervalle sur lequel est appliqué la méthode} +\TOline{number}{10}{nombre de sous-intervalles utilisés} +\bottomrule +\end{tabular} + +Possible est de réunir les quatres macros et de choisir la méthode avec une option. +\end{NewMacroBox} + +\subsection{Somme de Riemann} + +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=3.5] +\tkzInit[xmax=3,ymax=1.75] +\tkzAxeXY +\tkzGrid(0,0)(3,2) +\tkzFct[color = red, domain =1/3:3]{0.125*(3*x-1)+0.375*(3*x-1)/(x*x)} +\tkzDrawRiemannSum[fill=green!40,opacity=.2,color=green, + line width=1pt,interval=1./2:exp(1),number=10] +\end{tikzpicture} +\end{tkzexample} + +\newpage + \hypertarget{tdrsi}{} + +\begin{NewMacroBox}{tkzDrawRiemannSumInf}{\oarg{local options}} +C'est une variante de la macro précédente mais les rectangles sont toujours sous la courbe. + \end{NewMacroBox} + +\subsection{Somme de Riemann Inf} + +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=1.75] +\tkzInit[xmin=-3,xmax=6,ymin=-2,ymax=14,ystep=2] +\tkzDrawX \tkzDrawY +\tkzFct[line width=2pt,color = red, domain =-3:6]{(-\x-2)*(\x-5)} +\tkzDrawRiemannSumInf[fill=green!40,opacity=.5,interval=-1:5,number=10] +\end{tikzpicture} +\end{tkzexample} + +\newpage + \hypertarget{tdrss}{} + \begin{NewMacroBox}{tkzDrawRiemannSumSup}{\oarg{local options}} +C'est une variante de la macro précédente mais les rectangles sont toujours au-dessus de la courbe. + \end{NewMacroBox} + +\subsection{Somme de Riemann Inf et Sup} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=1.75] + \tkzInit[xmin=-3,xmax=6,ymin=-2,ymax=14,ystep=2] + \tkzDrawX \tkzDrawY + \tkzFct[line width=2pt,color = red, domain =-3:6]{(-\x-2)*(\x-5)} + \tkzDrawRiemannSumSup[fill=blue!40,opacity=.5,interval=-1:5,number=10] + \tkzDrawRiemannSumInf[fill=green!40,opacity=.5,interval=-1:5,number=10] +\end{tikzpicture} +\end{tkzexample} + + +\newpage + \hypertarget{tdrsm}{} + \begin{NewMacroBox}{tkzDrawRiemannSumMid}{\oarg{local options}} +C'est une variante de la macro précédente mais les rectangles sont à cheval sur la courbe. + \end{NewMacroBox} + +\subsection{Somme de Riemann Mid} + +\begin{tkzexample}[vbox] + \begin{tikzpicture}[scale=1.75] +\tkzInit[xmin=-3,xmax=6,ymin=-2,ymax=14,ystep=2] +\tkzDrawX \tkzDrawY +\tkzFct[line width=2pt,color = red, domain =-3:6]{(-\x-2)*(\x-5)} +\tkzDrawRiemannSumMid[fill=blue!40,opacity=.5,interval=-1:5,number=10] +\end{tikzpicture} +\end{tkzexample} + +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-symbol.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-symbol.tex new file mode 100644 index 0000000000..8f8bdca471 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-symbol.tex @@ -0,0 +1,42 @@ +\section{Symboles} +Certains ajoutent aux courbes des symboles afin de donner des indications supplémentaires au lecteur. Voici quelques exemples possibles~: + +\begin{tikzpicture} +\draw[thick,(-)](0,0)--(2,2); +\draw[thick,o-o](2,0)--(4,2); +\draw[thick,)-(](4,0)--(6,2); +\draw[thick,*-*](6,0)--(8,2); + \end{tikzpicture} + +\newcommand{\cred}[1]{{\color{red}#1}} +\newcommand{\cgreen}[1]{{\color{green!50!black}#1}} +\newcommand{\cblue}[1]{{\color{blue}#1}} + +L'exemple suivant est de \tkzname{Simon Schläpfer}~: + +On veut tracer +\[ +y=\left\{\begin{array}{ll} + \cred{8-1.5x}&,\text{if }x<2\\ + \cblue{4}&,\text{if }2 \leq x \leq 3\\ + \cgreen{2x-4}&,\text{if } x>3 + \end{array} +\right. +\] + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \tkzInit[xmin=-1,xmax=6,ymin=0,ymax=10,xstep=1,ystep=1] + \tkzGrid[color=gray] + \tkzAxeXY + \tkzFct[{-[},color=red,domain =-1:2,samples=2]{8-1.5*\x} + \tkzFct[{[-]},color=blue,domain =2:3,samples=2]{4} + \tkzFct[{]-},color=green!50!black,domain =3:6,samples=2]{2*\x-4} +\end{tikzpicture} +\end{tkzexample} + +\end{center} + + +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-tangent.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-tangent.tex new file mode 100644 index 0000000000..c1e57ecd2a --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-tangent.tex @@ -0,0 +1,236 @@ +\section{Macros pour tracer des tangentes } + +Si une seule fonction est utilisée, elle est stockée avec comme nom +\tkzcname{tkzFcta}, si une deuxième fonction est utilisée, elle sera stockée avec comme nom \tkzcname{tkzFctb}, et ainsi de suite\ldots Si plusieurs fonctions sont présentent dans un même environnement alors l'option \tkzname{with} permet de choisir celle qui sera mise à contribution. + +\tkzHandBomb Il faut bien évidemment, avoir initialisé l'environnement à l'aide \tkzcname{tkzInit}, avant d'appeler \tkzcname{tkzFct} et \tkzcname{tkzDrawTangentLine}. Pour la longueur des vecteurs représentants les demi-tangentes, il faut attribuer une valeur aux coefficients \tkzname{kl} et \tkzname{kr}. $kl=0$ ou $kr=0$ annule le dessin de la demi-tangente correspondante (l=left) et (r=right). Si \tkzname{xstep=1} et \tkzname{ystep=1} alors si la pente est égale à 1, la demi-tangente a pour mesure $\sqrt{2}$. +Dans les autres cas si AT est la longueur de la demi-tangente et si $p$ est la pente alors $\vec{AT}$ a pour coordonnées (\tkzname{kl},\tkzname{kl*p}.) + + +\subsection{Représentation d'une tangente \tkzcname{tkzDrawTangentLine}} +\hypertarget{tdtl}{} +\begin{NewMacroBox}{tkzDrawTangentLine}{\oarg{local options}\parg{a}} +{On l'emploie soit juste après l'utilisation de \tkzcname{tkzFct}, sinon il faut donner la référence de la fonction à l'aide de l'option \tkzname{with}.} + +\medskip +\begin{tabular}{lll} + \toprule + options & exemple & explication \\ + \midrule + \TAline{a}{\tkzcname{tkzDrawTangentLine(0)}}{tangente au point d'abscisse $0$} + \bottomrule +\end{tabular} + +Les options sont celles de \TIKZ comme \tkzname{color} ou \tkzname{style} plus les options suivantes + +\begin{tabular}{lll} +\toprule +options & défaut & définition \\ +\midrule +\TOline{draw}{false}{booléen si true alors le point de contact est tracé} +\TOline{with}{a}{permet de choisir une fonction} +\TOline{kr}{1}{coefficient pour la longueur de la demi-tangente à droite} +\TOline{kl} {1}{coefficient pour la longueur de la demi-tangente à gauche} +\end{tabular} +\end{NewMacroBox} +%<---------------------------------------------------------------------------> +\subsection{Tangente avec \tkzname{xstep} et \tkzname{ystep} différents de 1} + +\begin{tikzpicture}[xscale=1.5] + \tikzset{tan style/.style={-}} + \tkzInit[xmin=0,xmax=800,xstep=100,ymin=0,ymax=1800,ystep=400] + \tkzGrid[color=brown,sub,subxstep=50,subystep=200](0,0)(800,1800) + \tkzAxeXY + \tkzFct[color=red,samples=100,domain = 0:800]% + {(1./90000)*\x*\x*\x-(1./100)*\x*\x+(113./36)*\x} + \tkzDrawTangentLine[draw,color=blue,kr=300,kl=450](450) + \tkzText[draw,color = black,fill = brown!50,opacity = 0.8](300,1200)% + {$f(x)=\dfrac{1}{90000}x^3 -\dfrac{1}{{100}}x^2 +\dfrac{113}{36}x$} + \end{tikzpicture} + +Il faut remarquer qu'il n'est point nécessaire de faire des calculs. Il suffit d'utiliser les valeurs qui correspondent aux graduations. + +On peut changer le style des tangentes avec, par exemple, + +\tkzcname{tikzset\{tan style/.style=\{-\}\}} par défaut on a : + +\tkzcname{tikzset\{tan style/.style=\{->,>=latex\}\}} + +\begin{tkzexample}[code only] +\begin{tikzpicture}[xscale=1.5] + \tikzset{tan style/.style={-}} + \tkzInit[xmin=0,xmax=800,xstep=100, + ymin=0,ymax=1800,ystep=400] + \tkzGrid[color=brown,sub,subxstep=50,subystep=200](0,0)(800,1800) + \tkzAxeXY + \tkzFct[color=red,samples=100,domain = 0:800]% + {(1./90000)*\x*\x*\x-(1./100)*\x*\x+(113./36)*\x} + \tkzDrawTangentLine[color=blue,kr=300,kl=450,coord](450) + \tkzText[draw, color = black,% + fill = brown!50, opacity = 0.8](300,1200)% + {$f(x)=\dfrac{1}{90000}x^3 -\dfrac{1}{{100}}x^2 +\dfrac{113}{36}x$} + \end{tikzpicture} + \end{tkzexample} +%<---------------------------------------------------------------------------> +\subsection{Les options \tkzname{kl}, \tkzname{kr} et l'option \tkzname{draw}} +Si l'un des deux nombres \tkzname{kl} ou \tkzname{kr} est nul alors seulement une demi-tangente est tracée sinon ces nombres représentent un pourcentage de la longueur initiale de la tangente. L'option \tkzname{draw} permet de tracer le point de contact. + +\begin{tkzexample}[] + \begin{tikzpicture}[scale=1.5] + \tkzInit[xmin=-3,xmax=4,ymin=-4,ymax=2] + \tkzGrid \tkzDrawXY \tkzClip + \tkzFct[domain = -2.15:3.2]{(-x*x)+2*x} + \tkzDefPointByFct[draw](2) + \tkzDrawTangentLine[kl=0,draw](-1) + \tkzDrawTangentLine[draw](1) + \tkzDrawTangentLine[kr=0,draw](3) + \tkzRep + \end{tikzpicture} +\end{tkzexample} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\subsection{Tangente et l'option \tkzname{with}} +Soit on place la macro \tkzcname{tkzDrawTangentLine} après la ligne + qui définit la première fonction $(a)$, soit on trace une autre fonction avant, et dans ce cas, il est nécessaire de préciser quelle fonction sera utilisée. pour se faire, on utilise l'option \tkzname{with}. + +\begin{tkzexample}[] +\begin{tikzpicture}[scale=4] + \tkzInit[xmax=3,ymax=2] + \tkzAxeXY + \tkzGrid(0,0)(3,2) + \tkzFct[color = red, domain = 1/3:3]{0.125*(3*x-1)+0.375*(3*x-1)/(x*x)} + \tkzFct[color = blue, domain = 1/3:3]{0.125*(3*x-1)} + \tkzDrawTangentLine[with=a, + color=blue](1) + \tkzText[draw, + color= red, + fill=brown!50](1,1.5)% + {$f(x)=\frac{1}{8}(3x-1)+\frac{3}{8}\left(\frac{3x-1}{x^2}\right)$} + \tkzText[draw, + color= green!50!black, + fill=brown!50](2,0.3)% + {$g(x)=\frac{1}{8}(3x-1)$} +\end{tikzpicture} +\end{tkzexample} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\subsection{Quelques tangentes } + +\begin{tkzexample}[] +\begin{tikzpicture}[scale=2] + \tkzInit[xmin=-5,xmax=2,ymin=-1, ymax=3] + \tkzDrawX + \tkzDrawY + \tkzText[draw,color = red,fill = orange!20]( 1.5,1.5){$y = xe^x$} + \tkzFct[color = red, domain = -5:1]{x*exp(x)}% + \tkzDrawTangentLine[color=blue,kr=2,kl=2](-2) + \tkzDrawTangentLine[color=green,kr=2,kl=2](-1) + \tkzDrawTangentLine[color=blue](0) + \tkzDrawTangentLine[color=blue,kr=0](1) +\end{tikzpicture} +\end{tkzexample} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\subsection{Demi-tangentes } +Il faut remarquer que les tangentes sont en réalité deux demi-tangentes ce qui permet d'obtenir simplement le résultat ci-dessous. + +Poosible sont les écritures \tkzname{(((x+1)*x)*x)**0.5}, \tkzname{(x**3+x**2)**0.5} et \tkzname{(x*x*x+x*x)**(0.5)}. + +Dans cet exemple, les deux demi-tangentes sont obtenues automatiquement : + +\begin{tkzexample}[] + \begin{tikzpicture}[scale=2.75] + \tkzInit[xmin=-2,xmax=3,ymax=3] + \tkzGrid[color=orange](-2,0)(3,3) + \tkzAxeX + \tkzAxeY + \tkzFct[color = red ,domain = -1:2]{(((x+1)*x)*x)**0.5} + \tkzDrawTangentLine(0) + \tkzText[draw,color = red,fill = orange!20](2,1){$f(x)=\sqrt{x^3+x^2}$} + \end{tikzpicture} +\end{tkzexample} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\subsection{Demi-tangentes Courbe de Lorentz } + +Ici, on ne veut que les demi-tangentes comprises entre 0 et 1, pour cela il suffit dans un cas de donner la valeur 0 à \tkzname{kr} et dans l'autre à \tkzname{kl}. + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=1.25] + \tkzInit[xmax=1,ymax=1,xstep=0.1,ystep=0.1] + \tkzGrid(0,0)(1,1) + \tkzAxeXY + \tkzFct[color = red,thick, domain =0:1]{(exp(\x)-1)/(exp(1)-1)} + \tkzSetUpPoint[size=6] + \tkzDrawTangentLine[draw, kl = 0, kr = 0.4](0) + \tkzDrawTangentLine[draw, kl = 0.4,kr = 0 ](1) + \tkzText[draw,color = red,fill = orange!20](0.5,0.6)% + {$f(x)=\dfrac{\text{e}^x-1}{\text{e}-1}$} +\end{tikzpicture} +\end{tkzexample} +\end{center} +%<---------------------------------------------------------------------------> +\subsection{Série de tangentes} + + +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=2] + \tikzstyle{tan style}=[-] + \tkzInit[xmin=-5,xmax=2,ymin=-1,ymax=3] + \tkzDrawXY + \tkzText[draw,color = red, fill = orange!20](1.5,1.5){$y = xe^x$} + \tkzFct[line width = 0.01 pt,color = red, domain = -5:1]{x*exp(x)} + \foreach \x in {-4,-3.8,...,0}{% + \tkzDrawTangentLine[color=blue,line width=.4pt,kr=1,kl=0.5](\x)} + \foreach \x in {0.6,0.8,1}{% + \tkzDrawTangentLine[color=blue,line width=.4pt, kr=0,kl=0.5](\x)} +\end{tikzpicture} +\end{tkzexample} +%<---------------------------------------------------------------------------> +\subsection{Série de tangentes sans courbe} + +Pour cela, il faut définir la dernière expression avec la syntaxe de \tkzname{fp.sty}. + +Définition de \tkzcname{tkzFctLast} +\begin{tkzltxexample}[] + \global\edef\tkzFctLast{x*exp(x)} +\end{tkzltxexample} + +\subsubsection{Utilisation de \tkzcname{tkzFctLast}} +\begin{tkzexample}[vbox] +\begin{tikzpicture}[scale=2] + \tikzstyle{tan style}=[-] + \tkzInit[xmin=-5,xmax=2,ymin=-1,ymax=3] + \tkzDrawXY + \tkzText[draw,color = red, fill = orange!20](1.5,1.5){$y = xe^x$} + \global\edef\tkzFctLast{x*exp(x)}% c'est la ligne importante + \foreach \v in {-4,-3.8,...,0}{% + \tkzDrawTangentLine[color=blue,line width=.4pt,kl=1](\v)} + \foreach \v in {0.6,0.8,1}{% + \tkzDrawTangentLine[color=blue,line width=.4pt,kr=0,kl=.75](\v)} +\end{tikzpicture} +\end{tkzexample} + + +\newpage +\subsection{Calcul de l'antécédent} + +Un problème surgit si on emploie une expression contenant des parenthèses dans l'argument, ainsi \tkzname{(\{1/exp(1)\})} est correct mais \tkzname{(1/exp(1))} donne une erreur. Il est aussi possible d'évaluer l'antécédent postérieurement comme cela~: +\subsubsection{Valeur numérique de l'antécédent} +\begin{tkzltxexample}[] \FPeval\vx{1/exp(1)} +\end{tkzltxexample} + +\subsubsection{utilisation de la valeur numérique} +\begin{center} +\begin{tkzexample}[] +\begin{tikzpicture}[scale=1] + \tkzInit[xmax=1,xstep=0.1,ymin=0.0,ymax=1,ystep=0.1] + \tkzGrid \tkzAxeXY + \tkzFct[domain = 0.00001:1]{(\x**\x)} + \tkzDrawTangentLine[draw,color = red, kr = 0.2,kl = 0.2]({1/exp(1)}) +\end{tikzpicture} +\end{tkzexample} +\end{center} + + + +\endinput + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-why.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-why.tex new file mode 100644 index 0000000000..6e30744de2 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/doc/latex/TKZdoc-fct-why.tex @@ -0,0 +1,41 @@ +\section{Fonctionnement} + +\TIKZ\ apporte différentes possibilités pour obtenir les représentations graphiques des fonctions. J'ai privilégié l'utilisation de \tkzname{gnuplot}, car je trouve \tkzname{pgfmath} trop lent et les résultats trop imprécis. + +Avec \TIKZ\ et \tkzname{gnuplot}, on obtient la représentation d'une fonction à l'aide de +\begin{tkzltxexample}[] + \draw[options] plot function {gnuplot expression}; +\end{tkzltxexample} + + Dans cette nouvelle version de \tkzname{tkz-fct}, la macro \tkzcname{tkzFct} reprend le code précédent avec les mêmes options que celles de \TIKZ. Parmi les options, les plus importantes sont \tkzname{domain} et \tkzname{samples}. + +La macro \tkzcname{tkzFct} remplace \tkzcname{draw plot function} mais exécute deux tâches supplémentaires, en plus du tracé. Tout d'abord, l'expression de la fonction est sauvegardée avec la syntaxe de \tkzname{gnuplot} et également sauvegardée avec la syntaxe de \tkzname{fp} pour une utilisation ultérieure. Cela permet, sans avoir à redonner l'expression, de placer par exemple, des points sur la courbe (les images sont calculées à l'aide de \tkzname{fp}), ou bien encore, de tracer des tangentes. + +Ensuite, et c'est le plus important, \tkzcname{tkzFct} tient compte des unités utilisées pour l'axe des abscisses et celui des ordonnées. Ces unités sont définies en utilisant la macro \tkzcname{tkzInit} du package \tkzname{tkz-base} avec les options \tkzname{xstep} et \tkzname{ystep}. + +La macro \tkzcname{tkzFct} intercepte les valeurs données à l'option \tkzname{domain} et évidemment l'expression mathématique de la fonction; +si \tkzname{xstep} et \tkzname{ystep} diffèrent de 1 alors il est tenu compte de ces valeurs pour le domaine, ainsi que pour les calculs d'images. Lorsque \tkzname{xstep} diffère de 1 alors l'expression donnée, doit utiliser uniquement \tkzcname{x} comme variable, c'est ainsi qu'il est possible d'ajuster les valeurs. Cela permet d'éviter des débordements dans les calculs. + +Par exemple, soit à tracer le graphe de la fonction $f$ définie par : + +\[ + 0\leq x\leq 100 \ \text{et}\ f(x)=x^3 +\] + +Les valeurs de $f(x)$ sont comprises entre 0 et $\numprint{1000000}$. En choisissant \tkzname{xstep=10} et \tkzname{ystep=100000}, les axes auront environ $10$ cm de longueur (sans mise à l'échelle). + +Les valeurs du domaine seront comprises entre $0$ et $10$, mais l'expression donnée à \tkzname{gnuplot}, comportera des \tkzcname{x} équivalents à $x \times 10$, enfin, la valeur finale sera divisée par \tkzname{ystep=100000}. Les valeurs de $f(x)$ resteront ainsi comprises entre $0$ et $10$. + + \begin{tkzexample}[latex=10cm,small] +\begin{tikzpicture} + \tkzInit[xmax=80,xstep=10, + ymax=800000, + ystep=100000] + \tkzAxeXY + \tkzGrid + \tkzFct[color=red, + domain=0:80]{\x**3} +\end{tikzpicture} +\end{tkzexample} + +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/preamble-standalone.ltx b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/preamble-standalone.ltx new file mode 100644 index 0000000000..a281c5fee7 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/preamble-standalone.ltx @@ -0,0 +1,6 @@ +\documentclass{standalone} +\usepackage{tkz-euclide,tkz-fct,tkz-tab,alterqcm} + + + + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-01-0-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-01-0-0.tex new file mode 100644 index 0000000000..8885200411 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-01-0-0.tex @@ -0,0 +1,16 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 1 (Section 1 : Fonctionnement) + +\begin{tikzpicture} + \tkzInit[xmax=80,xstep=10, + ymax=800000, + ystep=100000] + \tkzAxeXY + \tkzGrid + \tkzFct[color=red, + domain=0:80]{\x**3} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-03-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-03-3-0.tex new file mode 100644 index 0000000000..77080faf3b --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-03-3-0.tex @@ -0,0 +1,12 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 2 (Section 3.3 : Test de l'installation de tkz-base) + + \begin{tikzpicture} + \tkzInit[xmin=-3,xmax=3,ymax=2] + \tkzGrid + \tkzAxeXY + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-03-4-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-03-4-0.tex new file mode 100644 index 0000000000..29df04f010 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-03-4-0.tex @@ -0,0 +1,13 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 3 (Section 3.4 : Test de l'installation de tkz-fct) + +\begin{tikzpicture}[scale=1.25] + \tkzInit[xmin=-5,xmax=5,ymax=2] + \tkzGrid + \tkzAxeXY + \tkzFct[color=red]{2*x**2/(x**2+1)} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-04-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-04-2-0.tex new file mode 100644 index 0000000000..f7743863d3 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-04-2-0.tex @@ -0,0 +1,13 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 4 (Section 4.2 : option : \tkzname{samples}) + +\begin{tikzpicture}[scale=1] + \tkzInit[xmax=5,ymax=2] + \tkzGrid[sub] + \tkzAxeXY + \tkzFct[samples=400,domain=.5:5]{1/x} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-04-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-04-3-0.tex new file mode 100644 index 0000000000..d922a48ce1 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-04-3-0.tex @@ -0,0 +1,15 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 5 (Section 4.3 : options : \tkzname{xstep, ystep}) + +\begin{tikzpicture} +\tkzInit[xmax= 110,xstep=10, + ymax=6,ystep=1] +\tkzDrawX[label={\textit{Age}},below= -18pt] +\tkzLabelX +\tkzDrawY[label={\textit{litres}}] +\tkzFct[domain = 0.1:100 ]{50/\x} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-04-4-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-04-4-0.tex new file mode 100644 index 0000000000..1b5e701e64 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-04-4-0.tex @@ -0,0 +1,13 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 6 (Section 4.4 : Modification de \tkzname{xstep} et \tkzname{ystep}) + +\begin{tikzpicture}[scale=1.5] + \tkzInit[xmax=700,xstep=100,ymax=1200,ystep=400] + \tkzGrid(0,0)(700,1200) \tkzAxeXY + \tkzFct[color=red,samples=100,line width=0.8pt,domain =0:700]% + {(1./90000)*\x*\x*\x-(1./100)*\x*\x+(113./36)*\x} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-04-5-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-04-5-0.tex new file mode 100644 index 0000000000..415d051f1a --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-04-5-0.tex @@ -0,0 +1,13 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 7 (Section 4.5 : \tkzname{ystep} et les fonctions constantes) + + \begin{tikzpicture}[scale=0.4] + \tkzInit[xmax=30,ymax=90,ystep=6] + \tkzFct[line width=1pt,color=red,dashed,domain=0:30]{80.0} + \tkzFct[line width=1pt,color=blue,domain=0:30]{80/(1.0+4.0*exp(-0.21*x))} + \tkzText[above,color=red](20,80){$P=80$} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-04-6-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-04-6-0.tex new file mode 100644 index 0000000000..09d5950464 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-04-6-0.tex @@ -0,0 +1,15 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 8 (Section 4.6 : Les fonctions affines ou linéaires) + + \begin{tikzpicture}[] + \tkzInit[ymax=20,ystep=5] + \tkzAxeXY + \tkzFct[color=red,domain=0:10,samples=2]{2*x+5} + \tkzFct[color=blue,domain=0:10,samples=2]{-x+15} + \tkzFct[color=green,domain=0:10,samples=2]{7} % 7/5=1 + \tkzFct[color=purple,domain=0:10,samples=2]{7.}%7.0/5 =1.2 +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-04-7-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-04-7-0.tex new file mode 100644 index 0000000000..7189000a8a --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-04-7-0.tex @@ -0,0 +1,19 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 9 (Section 4.7 : Sous-grille) + +\begin{tikzpicture} + \tkzInit[xmin=4,xmax=18,xstep=2, + ymin=20,ymax=90,ystep=10] + \tkzFct[domain = 5:18]% + {(\x-4)*exp(-0.25*\x+5)} + \tkzGrid(4,20)(18,90) + \tkzAxeXY + \tkzGrid[sub, + subxstep=0.5, + subystep=2, + color=brown](6,60)(12,90) +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-04-8-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-04-8-0.tex new file mode 100644 index 0000000000..19fff86960 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-04-8-0.tex @@ -0,0 +1,15 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 10 (Section 4.8 : Utilisation des macros de \tkzname{tkz-base}) + + \begin{tikzpicture}[scale=2] + \tkzInit[xmin=-3,xmax=3, ymin=-1,ymax=3] + \tkzGrid[sub,subxstep=.5,subystep=.5] + \tkzAxeXY + \tkzFct[domain = -3:2]{(2-x)*exp(x)} + \tkzText(-2,1.25){$\mathcal{C}_{f}$} + \tkzDefPoint(2,0){A} \tkzDrawPoint(A) \tkzLabelPoints(A) + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-05-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-05-1-0.tex new file mode 100644 index 0000000000..4eba5d8089 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-05-1-0.tex @@ -0,0 +1,15 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 11 (Section 5.1 : Exemple avec \tkzcname{tkzGetPoint}) + +\begin{tikzpicture}[scale=1.25] + \tkzInit[xmin=-2,xmax=2,xstep=1, + ymin=-8,ymax=24,ystep=8] + \tkzGrid \tkzAxeXY + \tkzFct[domain =-1.5:1]{3.0-1.3125*x**5-2.5*x**3} + \tkzDefPointByFct(.5) \tkzGetPoint{A}\tkzDrawPoint(A) + \tkzLabelPoint[above right](A){$A_0$} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-05-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-05-2-0.tex new file mode 100644 index 0000000000..09402c8363 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-05-2-0.tex @@ -0,0 +1,17 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 12 (Section 5.2 : Exemple avec \tkzcname{tkzGetPoint} et \tkzname{tkzPointResult}) + +\begin{tikzpicture}[scale=1.25] + \tkzInit[xmin=-2,xmax=2,xstep=1, + ymin=-8,ymax=24,ystep=8] + \tkzGrid + \tkzAxeXY + \tkzFct[domain =-1.5:1]{3.0-1.3125*x**5-2.5*x**3} + \tkzDefPointByFct(.5) + \tkzDrawPoint(tkzPointResult) + % ou bien \tkzDefPointByFct[draw](.5) +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-05-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-05-3-0.tex new file mode 100644 index 0000000000..3164cac52f --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-05-3-0.tex @@ -0,0 +1,16 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 13 (Section 5.3 : Options \tkzname{draw} et \tkzname{ref}) + +\begin{tikzpicture}[scale=1.25] + \tkzInit[xmin=-2,xmax=2,xstep=1, + ymin=-8,ymax=24,ystep=8] + \tkzGrid + \tkzAxeXY + \tkzFct[domain =-1.5:1]{3.0-1.3125*x**5-2.5*x**3} + \tkzDefPointByFct[draw,ref=A](.5) + \tkzLabelPoint[above right](A){$a$} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-05-4-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-05-4-0.tex new file mode 100644 index 0000000000..45c7c08d12 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-05-4-0.tex @@ -0,0 +1,16 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 14 (Section 5.4 : Placer des points sans courbe) + +\begin{tikzpicture}[xscale=3,yscale=2] + \tkzInit[xmin=-2,xmax=2,xstep=1, + ymin=-8,ymax=24,ystep=8] + \tkzGrid + \tkzAxeXY + \global\edef\tkzFctLast{3.0-1.3125*x^5-2.5*x^3} + \foreach \va in {-1.5,-1.4,...,1}{% + \tkzDefPointByFct[draw](\va)} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-05-5-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-05-5-0.tex new file mode 100644 index 0000000000..949853f109 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-05-5-0.tex @@ -0,0 +1,19 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 15 (Section 5.5 : Placer des points sans se soucier des coordonnées) + +\begin{tikzpicture}[scale=1.6] + \tkzInit[xmin = 0, xmax = 800, + ymin = 0, ymax = 2000, + xstep = 100,ystep = 400] + \tkzGrid + \tkzAxeXY + \tkzFct[color = blue, + domain = 0:800]% + {(1./90000)*\x*\x*\x-(1./100)*\x*\x+(113./36)*\x} + \foreach \va in {0,450,800}{% + \tkzDefPointByFct[draw](\va)} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-05-6-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-05-6-0.tex new file mode 100644 index 0000000000..1ea3cb6626 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-05-6-0.tex @@ -0,0 +1,26 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 16 (Section 5.6 : Placer des points avec deux fonctions) + +\begin{tikzpicture}[scale=4] + \tkzInit[xmax=3,ymax=2] + \tkzAxeX + \tkzAxeY + \tkzGrid(0,0)(3,2) + \tkzFct[color = red,domain = 1./3:3]{0.125*(3*x-1)+0.375*(3*x-1)/(x*x)} + \tkzFct[color = green,domain = 1./3:3]{0.125*(3*x-1)} + \tkzSetUpPoint[shape=circle, size = 10, color=black, fill=lightgray] + \tkzDefPointByFct[draw,with = a](1) + \tkzDefPointByFct[draw,with = a](2) + \tkzDefPointByFct[draw,with = a](3) + \tkzDefPointByFct[draw,with = b](3) + \tkzDefPointByFct[draw,with = b](1/3) + \tkzText[draw,color= red,fill=red!20](1,1.5) % + {$f(x)=\frac{1}{8}(3x-1)+\frac{3}{8}% + \left(\frac{3x-1}{x^2}\right)$} + \tkzText[draw,color= green!50!black,fill=green!20]% + (2,0.3){$g(x)=\frac{1}{8}(3x-1)$} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-06-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-06-1-0.tex new file mode 100644 index 0000000000..808c64d81f --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-06-1-0.tex @@ -0,0 +1,18 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 17 (Section 6.1 : Ajouter un label) + +\begin{tikzpicture} + \tkzInit[xmin=0,xmax=10, + ymin=0,ymax=1.2,ystep=0.2] + \tkzGrid + \tkzAxeXY + \tkzClip + \tkzFct[thick,color=red,domain=0.55:10]{(\x*\x+\x-1)/(\x**3)} + \tkzText(3,-0.3){\textbf{Courbe de} $\mathbf{f}$} + \tkzDefPointByFct(3) + \tkzText[above right,text=red](tkzPointResult){${\mathcal{C}}_f$} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-10-2.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-10-2.tex new file mode 100644 index 0000000000..e1f56e1a0c --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-10-2.tex @@ -0,0 +1,13 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 26 (Section 7.10.2 : utilisation de la valeur numérique) + +\begin{tikzpicture}[scale=1] + \tkzInit[xmax=1,xstep=0.1,ymin=0.0,ymax=1,ystep=0.1] + \tkzGrid \tkzAxeXY + \tkzFct[domain = 0.00001:1]{(\x**\x)} + \tkzDrawTangentLine[draw,color = red, kr = 0.2,kl = 0.2]({1/exp(1)}) +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-2-0.tex new file mode 100644 index 0000000000..ab227375b7 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-2-0.tex @@ -0,0 +1,20 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 18 (Section 7.2 : Tangente avec \tkzname{xstep} et \tkzname{ystep} différents de 1) + +\begin{tikzpicture}[xscale=1.5] + \tikzset{tan style/.style={-}} + \tkzInit[xmin=0,xmax=800,xstep=100, + ymin=0,ymax=1800,ystep=400] + \tkzGrid[color=brown,sub,subxstep=50,subystep=200](0,0)(800,1800) + \tkzAxeXY + \tkzFct[color=red,samples=100,domain = 0:800]% + {(1./90000)*\x*\x*\x-(1./100)*\x*\x+(113./36)*\x} + \tkzDrawTangentLine[color=blue,kr=300,kl=450,coord](450) + \tkzText[draw, color = black,% + fill = brown!50, opacity = 0.8](300,1200)% + {$f(x)=\dfrac{1}{90000}x^3 -\dfrac{1}{{100}}x^2 +\dfrac{113}{36}x$} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-3-0.tex new file mode 100644 index 0000000000..9a57b5ce99 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-3-0.tex @@ -0,0 +1,17 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 19 (Section 7.3 : Les options \tkzname{kl}, \tkzname{kr} et l'option \tkzname{draw}) + + \begin{tikzpicture}[scale=1.5] + \tkzInit[xmin=-3,xmax=4,ymin=-4,ymax=2] + \tkzGrid \tkzDrawXY \tkzClip + \tkzFct[domain = -2.15:3.2]{(-x*x)+2*x} + \tkzDefPointByFct[draw](2) + \tkzDrawTangentLine[kl=0,draw](-1) + \tkzDrawTangentLine[draw](1) + \tkzDrawTangentLine[kr=0,draw](3) + \tkzRep +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-4-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-4-0.tex new file mode 100644 index 0000000000..ae9576110a --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-4-0.tex @@ -0,0 +1,24 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 20 (Section 7.4 : Tangente et l'option \tkzname{with}) + +\begin{tikzpicture}[scale=4] + \tkzInit[xmax=3,ymax=2] + \tkzAxeXY + \tkzGrid(0,0)(3,2) + \tkzFct[color = red, domain = 1/3:3]{0.125*(3*x-1)+0.375*(3*x-1)/(x*x)} + \tkzFct[color = blue, domain = 1/3:3]{0.125*(3*x-1)} + \tkzDrawTangentLine[with=a, + color=blue](1) + \tkzText[draw, + color= red, + fill=brown!50](1,1.5)% + {$f(x)=\frac{1}{8}(3x-1)+\frac{3}{8}\left(\frac{3x-1}{x^2}\right)$} + \tkzText[draw, + color= green!50!black, + fill=brown!50](2,0.3)% + {$g(x)=\frac{1}{8}(3x-1)$} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-5-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-5-0.tex new file mode 100644 index 0000000000..0d04fcbee6 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-5-0.tex @@ -0,0 +1,18 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 21 (Section 7.5 : Quelques tangentes ) + +\begin{tikzpicture}[scale=2] + \tkzInit[xmin=-5,xmax=2,ymin=-1, ymax=3] + \tkzDrawX + \tkzDrawY + \tkzText[draw,color = red,fill = orange!20]( 1.5,1.5){$y = xe^x$} + \tkzFct[color = red, domain = -5:1]{x*exp(x)}% + \tkzDrawTangentLine[color=blue,kr=2,kl=2](-2) + \tkzDrawTangentLine[color=green,kr=2,kl=2](-1) + \tkzDrawTangentLine[color=blue](0) + \tkzDrawTangentLine[color=blue,kr=0](1) +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-6-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-6-0.tex new file mode 100644 index 0000000000..de41164650 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-6-0.tex @@ -0,0 +1,16 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 22 (Section 7.6 : Demi-tangentes ) + + \begin{tikzpicture}[scale=2.75] + \tkzInit[xmin=-2,xmax=3,ymax=3] + \tkzGrid[color=orange](-2,0)(3,3) + \tkzAxeX + \tkzAxeY + \tkzFct[color = red ,domain = -1:2]{(((x+1)*x)*x)**0.5} + \tkzDrawTangentLine(0) + \tkzText[draw,color = red,fill = orange!20](2,1){$f(x)=\sqrt{x^3+x^2}$} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-7-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-7-0.tex new file mode 100644 index 0000000000..0da5e6441f --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-7-0.tex @@ -0,0 +1,18 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 23 (Section 7.7 : Demi-tangentes Courbe de Lorentz ) + +\begin{tikzpicture}[scale=1.25] + \tkzInit[xmax=1,ymax=1,xstep=0.1,ystep=0.1] + \tkzGrid(0,0)(1,1) + \tkzAxeXY + \tkzFct[color = red,thick, domain =0:1]{(exp(\x)-1)/(exp(1)-1)} + \tkzSetUpPoint[size=6] + \tkzDrawTangentLine[draw, kl = 0, kr = 0.4](0) + \tkzDrawTangentLine[draw, kl = 0.4,kr = 0 ](1) + \tkzText[draw,color = red,fill = orange!20](0.5,0.6)% + {$f(x)=\dfrac{\text{e}^x-1}{\text{e}-1}$} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-8-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-8-0.tex new file mode 100644 index 0000000000..f68cf844d9 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-8-0.tex @@ -0,0 +1,18 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 24 (Section 7.8 : Série de tangentes) + +\begin{tikzpicture}[scale=2] + \tikzstyle{tan style}=[-] + \tkzInit[xmin=-5,xmax=2,ymin=-1,ymax=3] + \tkzDrawXY + \tkzText[draw,color = red, fill = orange!20](1.5,1.5){$y = xe^x$} + \tkzFct[line width = 0.01 pt,color = red, domain = -5:1]{x*exp(x)} + \foreach \x in {-4,-3.8,...,0}{% + \tkzDrawTangentLine[color=blue,line width=.4pt,kr=1,kl=0.5](\x)} + \foreach \x in {0.6,0.8,1}{% + \tkzDrawTangentLine[color=blue,line width=.4pt, kr=0,kl=0.5](\x)} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-9-1.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-9-1.tex new file mode 100644 index 0000000000..0604828df7 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-07-9-1.tex @@ -0,0 +1,18 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 25 (Section 7.9.1 : Utilisation de \tkzcname{tkzFctLast}) + +\begin{tikzpicture}[scale=2] + \tikzstyle{tan style}=[-] + \tkzInit[xmin=-5,xmax=2,ymin=-1,ymax=3] + \tkzDrawXY + \tkzText[draw,color = red, fill = orange!20](1.5,1.5){$y = xe^x$} + \global\edef\tkzFctLast{x*exp(x)}% c'est la ligne importante + \foreach \v in {-4,-3.8,...,0}{% + \tkzDrawTangentLine[color=blue,line width=.4pt,kl=1](\v)} + \foreach \v in {0.6,0.8,1}{% + \tkzDrawTangentLine[color=blue,line width=.4pt,kr=0,kl=.75](\v)} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-10-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-10-0.tex new file mode 100644 index 0000000000..6d40969c60 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-10-0.tex @@ -0,0 +1,19 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 33 (Section 8.10 : Mélange de style) + +\begin{tikzpicture}[scale=2.5] + \tkzInit[xmin=-1,xmax=4,ymin=0,ymax=5] + \tkzGrid + \tkzAxeXY + \tkzFct[domain = -.5:4]{ 4*x-x**2+4/(x**2+1)**2} + \tkzFct[domain = -.5:4]{x-1+4/(x**2+1)**2} + \tkzDrawAreafg[between=a and b,color=green,domain = 1:4] + \tkzDrawAreafg[between=a and b,pattern=north west lines,domain = -.5:1] + \tkzRep + \tkzText(2.5,4.5){$C_f$} + \tkzText(2.5,1){$C_g$} +\end{tikzpicture}% + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-11-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-11-0.tex new file mode 100644 index 0000000000..634c70b460 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-11-0.tex @@ -0,0 +1,24 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 34 (Section 8.11 : Courbes de niveaux) + +\begin{tikzpicture}[scale=.75] + \tkzInit[xmax=20,ymax=12] + \tkzGrid[color=orange,sub](0,0)(20,12) + \tkzAxeXY + \tkzFct[samples=400,domain =0:8]{(32-4*x)**(0.5)} % a + \tkzFct[samples=400,domain =0:18]{(72-4*x)**(0.5)} % b + \tkzFct[samples=400,domain =0:20]{(112-4*x)**(0.5)} % c + \tkzFct[samples=400,domain =2:20]{(152-4*x)**(0.5)} % d + \tkzFct[samples=400,domain =12:20]{(192-4*x)**(0.5)}% e + \def\tkzFctgnuf{0} % f + \def\tkzFctgnug{12}% g + \tkzDrawAreafg[between= b and a,color=gray!80,domain = 0:8] + \tkzDrawAreafg[between= b and f,color=gray!80,domain = 8:18] + \tkzDrawAreafg[between= d and c,color=gray!50,domain = 2:20] + \tkzDrawAreafg[between= g and c,color=gray!50,domain = 0:2] + \tkzDrawAreafg[between= g and e,color=gray!20,domain =12:20] +\end{tikzpicture}% + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-2-0.tex new file mode 100644 index 0000000000..a71373a61c --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-2-0.tex @@ -0,0 +1,27 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 27 (Section 8.2 : Naissance de la fonction logarithme népérien) + +\begin{tikzpicture}[scale=2] + \tkzInit[xmin=0,xmax=3,xstep=1, + ymin=-2,ymax=2,ystep=1] + \tkzGrid + \tkzAxeXY + \tkzFct[domain= 0.4:3]{1./x} + \tkzDefPointByFct(1) + \tkzGetPoint{A} + \tkzDefPointByFct(2) + \tkzGetPoint{B} + \tkzLabelPoints[above right](A,B) + \tkzDrawArea[color=blue!30, + domain = 1:2] + \tkzFct[domain = 0.5:3]{log(x)} + \tkzDrawArea[color=red!30, + domain = 1:2] + \tkzPointShowCoord(A) + \tkzPointShowCoord(B) + \tkzDrawPoints(A,B) +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-3-0.tex new file mode 100644 index 0000000000..75e39e9064 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-3-0.tex @@ -0,0 +1,18 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 28 (Section 8.3 : Surface simple) + + \begin{tikzpicture}[scale=1.75] + \tkzInit[xmin=0,xmax=800,xstep=100, + ymin=0,ymax=2000,ystep=400] + \tkzGrid + \tkzAxeXY + \tkzFct[domain = 0:800]{(1./90000)*\x*\x*\x-(1./100)*\x*\x+(113./36)*\x} + \tkzDefPoint(450,400){a} + \tkzDrawPoint(a) + \tkzDrawArea[color=orange!50, domain =0:450] + \tkzDrawArea[color=orange!80, domain =450:800] +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-4-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-4-0.tex new file mode 100644 index 0000000000..07050e22a2 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-4-0.tex @@ -0,0 +1,20 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 29 (Section 8.4 : Surface et hachures) + +\begin{tikzpicture}[scale=2] + \tkzInit[xmin=-3,xmax=4,ymin=-2,ymax=4] + \tkzGrid(-3,-2)(4,4) + \tkzDrawXY + \tkzFct[domain = -2.15:3.2]{(2+\x)*exp(-\x)} + \tkzDrawArea[pattern=north west lines,domain =-2:2] + \tkzDrawTangentLine[draw,color=blue](0) + \tkzDrawTangentLine[draw,color=blue](-1) + \tkzDefPointByFct(2) \tkzGetPoint{C} + \tkzDefPoint(2,0){B} + \tkzDrawPoints(B,C) \tkzLabelPoints[above right](B,C) + \tkzRep +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-7-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-7-0.tex new file mode 100644 index 0000000000..1fa37f71c5 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-7-0.tex @@ -0,0 +1,15 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 30 (Section 8.7 : Surface comprise entre deux courbes avec des hachures) + + \begin{tikzpicture}[scale=.8] + \tkzInit[xmax=5,ymax=5] + \tkzGrid + \tkzAxeXY + \tkzFct[domain = 0:5]{x} + \tkzFct[domain = 1:5]{log(x)} + \tkzDrawAreafg[between= a and b,pattern=north west lines,domain = 1:5] +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-8-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-8-0.tex new file mode 100644 index 0000000000..9073b668a2 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-8-0.tex @@ -0,0 +1,17 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 31 (Section 8.8 : Surface comprise entre deux courbes avec l'option \tkzname{between}) + +\begin{tikzpicture}[scale=1.25] + \tkzInit[ymin=-1,xmax=5,ymax=3] + \tkzGrid + \tkzAxeXY + \tkzFct[domain = 0.5:5]{1/x}% courbe a + \tkzFct[domain = 1:5]{log(x)}% courbe b + \tkzDrawAreafg[between=b and a, + color=magenta!50, + domain = 1:4] +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-9-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-9-0.tex new file mode 100644 index 0000000000..29e26a498c --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-08-9-0.tex @@ -0,0 +1,17 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 32 (Section 8.9 : Surface comprise entre deux courbes : courbes de Lorentz) + +\begin{tikzpicture}[scale=1.25] + \tkzInit[xmax=1,ymax=1,xstep=0.1,ystep=0.1] + \tkzGrid + \tkzAxeXY + \tkzFct[color = red,domain = 0:1]{(exp(\x)-1)/(exp(1)-1)} + \tkzFct[color = blue,domain = 0:1]{\x*\x*\x} + \tkzFct[color = green,domain = 0:1]{\x} + \tkzDrawAreafg[between = c and b,color=purple!40,domain = 0:1] + \tkzDrawAreafg[between = c and a,color=gray!60,domain = 0:1] +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-09-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-09-1-0.tex new file mode 100644 index 0000000000..25867a79c9 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-09-1-0.tex @@ -0,0 +1,15 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 35 (Section 9.1 : Somme de Riemann) + +\begin{tikzpicture}[scale=3.5] +\tkzInit[xmax=3,ymax=1.75] +\tkzAxeXY +\tkzGrid(0,0)(3,2) +\tkzFct[color = red, domain =1/3:3]{0.125*(3*x-1)+0.375*(3*x-1)/(x*x)} +\tkzDrawRiemannSum[fill=green!40,opacity=.2,color=green, + line width=1pt,interval=1./2:exp(1),number=10] +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-09-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-09-2-0.tex new file mode 100644 index 0000000000..64faec82ce --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-09-2-0.tex @@ -0,0 +1,13 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 36 (Section 9.2 : Somme de Riemann Inf) + +\begin{tikzpicture}[scale=1.75] +\tkzInit[xmin=-3,xmax=6,ymin=-2,ymax=14,ystep=2] +\tkzDrawX \tkzDrawY +\tkzFct[line width=2pt,color = red, domain =-3:6]{(-\x-2)*(\x-5)} +\tkzDrawRiemannSumInf[fill=green!40,opacity=.5,interval=-1:5,number=10] +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-09-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-09-3-0.tex new file mode 100644 index 0000000000..2f08a96821 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-09-3-0.tex @@ -0,0 +1,14 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 37 (Section 9.3 : Somme de Riemann Inf et Sup) + +\begin{tikzpicture}[scale=1.75] + \tkzInit[xmin=-3,xmax=6,ymin=-2,ymax=14,ystep=2] + \tkzDrawX \tkzDrawY + \tkzFct[line width=2pt,color = red, domain =-3:6]{(-\x-2)*(\x-5)} + \tkzDrawRiemannSumSup[fill=blue!40,opacity=.5,interval=-1:5,number=10] + \tkzDrawRiemannSumInf[fill=green!40,opacity=.5,interval=-1:5,number=10] +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-09-4-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-09-4-0.tex new file mode 100644 index 0000000000..9e80435a8d --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-09-4-0.tex @@ -0,0 +1,13 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 38 (Section 9.4 : Somme de Riemann Mid) + + \begin{tikzpicture}[scale=1.75] +\tkzInit[xmin=-3,xmax=6,ymin=-2,ymax=14,ystep=2] +\tkzDrawX \tkzDrawY +\tkzFct[line width=2pt,color = red, domain =-3:6]{(-\x-2)*(\x-5)} +\tkzDrawRiemannSumMid[fill=blue!40,opacity=.5,interval=-1:5,number=10] +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-10-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-10-2-0.tex new file mode 100644 index 0000000000..4bc5eb21b2 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-10-2-0.tex @@ -0,0 +1,17 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 39 (Section 10.2 : Ligne verticale ) + +\begin{tikzpicture}[scale=2] + \tkzInit[xmax=3,ymax=2] + \tkzAxeXY + \tkzVLine[color = blue, + style = dashed, + line width = 1pt]{2} + \tkzVLine[color = red, + style = dashed, + line width = 1pt]{1./3} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-10-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-10-3-0.tex new file mode 100644 index 0000000000..14df7d6296 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-10-3-0.tex @@ -0,0 +1,12 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 40 (Section 10.3 : Lignes verticales) + +\begin{tikzpicture} + \tkzInit[xmax=5,ymax=5] + \tkzAxeXY + \tkzVLines[color = green]{1,2,...,4} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-10-4-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-10-4-0.tex new file mode 100644 index 0000000000..749b6e4837 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-10-4-0.tex @@ -0,0 +1,14 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 41 (Section 10.4 : Ligne verticale et valeur calculée par \tkzname{fp} ) + +\begin{tikzpicture} + \tkzInit[xmin=-7,xmax=7,ymin=-1,ymax=1] + \tkzAxeY[font=\small] + \tkzAxeX[trig=2] + \foreach\v in {-2,-1,1,2} + {\tkzVLine[color=red]{\v*\FPpi}} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-10-5-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-10-5-0.tex new file mode 100644 index 0000000000..16b5e32eb8 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-10-5-0.tex @@ -0,0 +1,12 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 42 (Section 10.5 : Une ligne horizontale) + +\begin{tikzpicture} + \tkzInit[xmax=80,xstep=20,ymax=2] + \tkzAxeXY + \tkzHLine[color=red]{exp(1)-1} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-10-6-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-10-6-0.tex new file mode 100644 index 0000000000..9430b809cb --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-10-6-0.tex @@ -0,0 +1,16 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 43 (Section 10.6 : Asymptote horizontale) + +\begin{tikzpicture}[scale=2.5] + \tkzInit[xmax=5,ymin=0.5,ymax=1.5,ystep=0.5] + \tkzGrid + \tkzAxeXY + \tkzFct[domain = 0:10]{x*exp(-x)+1} + \tkzHLine[color=red,style=solid,line width=1.2pt]{1} + \tkzDrawTangentLine[draw,color=blue](1) + \tkzText[draw,fill = brown!20](2,0.75){$f(x)=x \text{e}^{-x}+1$} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-10-7-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-10-7-0.tex new file mode 100644 index 0000000000..0d2cd771c0 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-10-7-0.tex @@ -0,0 +1,12 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 44 (Section 10.7 : Lignes horizontales) + +\begin{tikzpicture} + \tkzInit + \tkzAxeXY + \tkzHLines[color = green]{1,2,...,10} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-10-8-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-10-8-0.tex new file mode 100644 index 0000000000..9b8894f47a --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-10-8-0.tex @@ -0,0 +1,22 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 45 (Section 10.8 : Asymptote horizontale et verticale) + +\begin{tikzpicture}[scale=1.25] + \tkzInit + \tkzGrid + \tkzAxeXY + \tkzFct[color=red,domain=1.001:1.9]{1+1/(log(x-1)**2)} + \tkzFct[color=red,domain = 2.1:10]{1+1/(log(x-1)**2)} + \tkzHLine[line width=1pt,color=red]{1} + \tkzVLine[line width=1pt,color=blue]{2} + \tkzDefPoint(1,1){A} + \tkzDrawPoint[fill=white,color=brown,size=6](A) + \tkzDefPointByFct[draw,with=b]({1+exp(1)}) + \tkzLabelPoint[above right](tkzPointResult){$(1+\text{e}~;~2)$} + \tkzText[draw,color = black,fill = brown!20](6,6)% + {$f(x)=\dfrac{1}{\ln^2 (x-1)}+1$} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-11-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-11-1-0.tex new file mode 100644 index 0000000000..9b7d6f35f4 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-11-1-0.tex @@ -0,0 +1,12 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 46 (Section 11.1 : Courbe paramétrée exemple 1) + +\begin{tikzpicture} + \tkzInit[ymax=2.25,ystep=.5] \tkzGrid + \tkzAxeXY + \tkzFctPar[samples=400,domain=0:2*pi]{(t-sin(t))}{(1-cos(t))} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-11-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-11-2-0.tex new file mode 100644 index 0000000000..65bb2c0219 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-11-2-0.tex @@ -0,0 +1,14 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 47 (Section 11.2 : Courbe paramétrée exemple 2) + +\begin{tikzpicture}[scale=1.25] + \tkzInit[xmin=-50,xmax=50,xstep=10, + ymin=-50,ymax=50,ystep=10] + \tkzGrid + \tkzAxeXY + \tkzFctPar[smooth,samples=200,domain=0:50]{t*sin(t)}{t*cos(t)} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-11-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-11-3-0.tex new file mode 100644 index 0000000000..7484370f2b --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-11-3-0.tex @@ -0,0 +1,14 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 48 (Section 11.3 : Courbe paramétrée exemple 3) + +\begin{tikzpicture}[scale=1.5] + \tkzInit[xmin=-2,xmax=10,xstep=2,ymin=-10,ymax=4,ystep=2] + \tkzGrid[sub] + \tkzAxeX[step=2] + \tkzAxeY[step=2] + \tkzFctPar[samples=400,domain=-pi:pi]{exp(t)*sin(t)}{exp(t)*cos(t)} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-11-4-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-11-4-0.tex new file mode 100644 index 0000000000..6c89c5b7f0 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-11-4-0.tex @@ -0,0 +1,17 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 49 (Section 11.4 : Courbe paramétrée exemple 4) + +\begin{tikzpicture}[scale=1.25] + \tkzInit[xmin=-1,xmax=1,xstep=.2, + ymin=-1,ymax=1,ystep=.2] + \tkzFctPar[color=red, + line width=2pt, + fill=orange, + opacity=.4, + samples=400, + domain=0:2*pi]{(cos(t))**3}{(sin(t))**3} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-11-5-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-11-5-0.tex new file mode 100644 index 0000000000..b45d54ba54 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-11-5-0.tex @@ -0,0 +1,14 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 50 (Section 11.5 : Courbe paramétrée exemple 5) + +\begin{tikzpicture}[scale=4] + \tkzInit[xmin=-1,xmax=1,ymin=-2,ymax=1] + \tkzClip + \tkzFctPar[samples=500,smooth,domain=-pi:pi, + ball color=red,shading=ball]% + {(sin(t))**3}{cos(t)-(cos(t))**4} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-11-6-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-11-6-0.tex new file mode 100644 index 0000000000..4fa7ec308c --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-11-6-0.tex @@ -0,0 +1,14 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 51 (Section 11.6 : Courbe paramétrée exemple 6) + +\begin{tikzpicture}[scale=1.5] + \tkzInit[xmin=-.4,xmax=.4,xstep=.1,ymin=0,ymax=.7,ystep=.1] + \tkzClip + \tkzFctPar[samples=2000,smooth,domain=-1:1, + ball color=red,shading=ball]% + {sin(t)*cos(t)*log(abs(t))}{sqrt(abs(t))*cos(t)} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-11-7-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-11-7-0.tex new file mode 100644 index 0000000000..45ba1e77f5 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-11-7-0.tex @@ -0,0 +1,14 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 52 (Section 11.7 : Courbe paramétrée exemple 7) + +\begin{tikzpicture}[scale=1.75] + \tkzInit[xmin=-20,xmax=20,xstep=5,ymin=-25,ymax=15,ystep=5] + \tkzClip + \tkzFctPar[samples=400,smooth,domain=0:6.28, + ball color=red,shading=ball]% + {16*(sin(t))**3}{13*cos(t)-5*cos(2*t)-2*cos(3*t)-cos(4*t)} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-12-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-12-1-0.tex new file mode 100644 index 0000000000..844ef3ad7a --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-12-1-0.tex @@ -0,0 +1,14 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 53 (Section 12.1 : Équation polaire exemple 1) + +\begin{tikzpicture}[scale=0.75] + \tkzInit [xmin=-0.5,xmax=0.5, + ymin=-0.5,ymax=0.5, + xstep=0.1,ystep=.1] + \tkzDrawX \tkzDrawY + \tkzFctPolar[domain=-2*pi:2*pi]{cos(t)*sin(t)} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-12-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-12-2-0.tex new file mode 100644 index 0000000000..a61de63123 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-12-2-0.tex @@ -0,0 +1,14 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 54 (Section 12.2 : Équation polaire exemple 2) + +\begin{tikzpicture}[scale=1.25] + \tkzInit [xmin=-1,xmax=1, + ymin=-1,ymax=1, + xstep=.2,ystep=.2] + \tkzDrawX \tkzDrawY + \tkzFctPolar[domain=0:2*pi]{cos(2*t)} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-12-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-12-3-0.tex new file mode 100644 index 0000000000..10b89682fa --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-12-3-0.tex @@ -0,0 +1,15 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 55 (Section 12.3 : Équation polaire Heart) + +\begin{tikzpicture}[scale=3] + \tkzInit[xmin=-5,xmax=5,ymin=-5,ymax=5] + \tkzFctPolar[domain = -pi:pi, + samples = 800, + ball color = red, + shading = ball]% + {2-2*sin(t)+sin(t)*sqrt(abs(cos(t)))/(sin(t)+1.4)} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-12-4-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-12-4-0.tex new file mode 100644 index 0000000000..901097453b --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-12-4-0.tex @@ -0,0 +1,11 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 56 (Section 12.4 : Équation polaire exemple 4) + +\begin{tikzpicture}[scale=4] + \tkzInit [xmin=-5,xmax=5,ymin=-5,ymax=5,xstep=1,ystep=1] + \tkzFctPolar[domain=0:2*pi,samples=400]{ 1-sin(t) } +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-12-5-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-12-5-0.tex new file mode 100644 index 0000000000..f410535b9b --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-12-5-0.tex @@ -0,0 +1,12 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 57 (Section 12.5 : Équation polaire Cannabis ou Marijuana Curve) + +\begin{tikzpicture}[scale=2.5] + \tkzInit [xmin=-5,xmax=5,ymin=-5,ymax=5,xstep=1,ystep=1] + \tkzFctPolar[domain=0:2*pi,samples=1000]% + { (1+.9*cos(8*t))*(1+.1*cos(24*t))*(1+.1*cos(200*t))*(1+sin(t)) } +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-12-6-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-12-6-0.tex new file mode 100644 index 0000000000..a311f6ae26 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-12-6-0.tex @@ -0,0 +1,11 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 58 (Section 12.6 : Scarabaeus Curve) + +\begin{tikzpicture}[scale=2.5] + \tkzInit [xmin=-5,xmax=5,ymin=-5,ymax=5,xstep=1,ystep=1] + \tkzFctPolar[domain=0:2*pi,samples=400]{1.6*cos(2*t)-3*cos(t) } + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-13-0-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-13-0-0.tex new file mode 100644 index 0000000000..071a69d456 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-13-0-0.tex @@ -0,0 +1,15 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 59 (Section 13 : Symboles) + +\begin{tikzpicture} + \tkzInit[xmin=-1,xmax=6,ymin=0,ymax=10,xstep=1,ystep=1] + \tkzGrid[color=gray] + \tkzAxeXY + \tkzFct[{-[},color=red,domain =-1:2,samples=2]{8-1.5*\x} + \tkzFct[{[-]},color=blue,domain =2:3,samples=2]{4} + \tkzFct[{]-},color=green!50!black,domain =3:6,samples=2]{2*\x-4} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-1-0.tex new file mode 100644 index 0000000000..29c14fb7e2 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-1-0.tex @@ -0,0 +1,20 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 60 (Section 14.1 : Variante intermédiaire : \TIKZ\ + \tkzname{tkz-fct}) + + \begin{tikzpicture}[scale=3] + \tkzInit[xmin=0,xmax=4,ymin=-1.5,ymax=1.5] + \tkzAxeY[label=$f(x)$] + \tkzDefPoint(1,0){x} \tkzDrawPoint[color=blue,size=0.6pt](x) + \shade[top color=gray!80,bottom color=gray!20] (1,0)% + plot[id=ln,domain=1:2.718] function{log(x)} |-(1,0); + \draw[color=blue] plot[id=ln,domain=0.2:4,samples=200]function{log(x)}; + \tkzAxeX + \tkzText[draw,color= black,fill=brown!50](2,-1)% + {$\mathcal{A} = \int_1^{\text{e}}\ln(x)\text{d}x =% + \big[x\ln(x)\big]_{1}^{\text{e}} = \text{e}$} + \tkzText[draw,color= black,fill=brown!50](2,0.3){$\mathcal{A}$} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-2-0.tex new file mode 100644 index 0000000000..af23e82210 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-2-0.tex @@ -0,0 +1,24 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 61 (Section 14.2 : Courbes de \tkzname{Lorentz}) + +\begin{tikzpicture}[scale=1] + \tkzInit[xmax=1,ymax=1,xstep=0.1,ystep=0.1] + \tkzGrid(0,0)(1,1) + \tkzAxeXY + \tkzFct[color = red,domain = 0:1]{(exp(\x)-1)/(exp(1)-1)} + \tkzDrawTangentLine[kl=0,kr=0.4,color=red](0) + \tkzDrawTangentLine[kl=0.2,kr=0,color=red](1) + \tkzText[draw,color = red,fill = brown!30](0.4,0.6)% + {$f(x)=\dfrac{\text{e}^x-1}{\text{e}-1}$} + \tkzFct[color = blue,domain = 0:1]{\x*\x*\x} + \tkzDrawTangentLine[kl=0,kr=0.4,color=blue](0) + \tkzDrawTangentLine[kl=0.2,kr=0,color=blue](1) + \tkzText[draw,color = blue,fill = brown!30](0.8,0.1){$g(x)=x^3$} + \tkzFct[color = orange,style = dashed,domain = 0:1]{\x} + \tkzDrawAreafg[between=c and b,color=blue!40,domain = 0:1] + \tkzDrawAreafg[between=c and a,color=red!60,domain = 0:1] +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-3-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-3-0.tex new file mode 100644 index 0000000000..c077890e2f --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-3-0.tex @@ -0,0 +1,19 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 62 (Section 14.3 : Courbe exponentielle) + +\begin{tikzpicture}[scale=1.25] + \tkzInit[xmin=-6,xmax=4,ymin=-5,ymax=6] + \tkzGrid + \tkzAxeXY + \tkzFct[color=red,thick,domain=-6:2.1785]{(-x*x+x+2)*exp(x)} + \tkzSetUpPoint[size=6] + \tkzDrawTangentLine[draw,kl=2](0) + \tkzDefPoint(2,0){b} \tkzDrawPoint(b) + \tkzDefPoint(-1,0){c} \tkzDrawPoint(c) + \tkzText(2,4){($\mathcal{C}$)} + \tkzText(-2,-3){($\mathcal{T}$)} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-4-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-4-0.tex new file mode 100644 index 0000000000..46da6372b2 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-4-0.tex @@ -0,0 +1,26 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 63 (Section 14.4 : Axe logarithmique) + +\begin{tikzpicture}[scale=0.8] + \tkzInit[xmax=14,ymax=12] + \draw[thin,->] (0,0) -- (14,0) node[below left] {}; + \draw[thin,->] (0,0) -- (0,12) node[below left] {}; + \foreach \x/\xtext in {0/0,2/10,4/20,6/30,8/40,10/50,12/60,14/70}% + {\draw[shift={(\x,0)}] node[below] {$\xtext$ };} + \foreach \y/\z in {0/0,3/1,6/2,9/3,12/4}% + {\draw[shift={(0,\y)}] node[left] {$10^{\z}$};} + \foreach \x in {1,2,...,14}{\tkzVLine[gray,thin]{\x}} + \foreach \y in {3,6,...,12}{\tkzHLine[gray,thin]{\y}} + \foreach \y in {0,3,...,9}{ + \foreach \z in {0.903,1.431,1.806,2.097,2.334,2.535,2.709,2.863}% + {\tkzHLine[thin,gray,shift={(0,\y)}] {\z}}} + \tkzDefPoint(0,6.90){a} + \tkzDefPoint(10,9.30){b} + \tkzDrawPoints(a,b) + \tkzLabelPoint(a){$M_{1}$} + \tkzLabelPoint(b){$M_{11}$} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-5-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-5-0.tex new file mode 100644 index 0000000000..e943de9a7d --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-5-0.tex @@ -0,0 +1,25 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 64 (Section 14.5 : Un peu de tout) + +\begin{tikzpicture}[scale=.8] + \tkzInit[xmin=5,xmax=40,ymin=0,ymax=350,xstep=2.5,ystep=25] + \tkzDrawX[label=$q$] + \tkzLabelX + \tkzDrawY[label=$C(q)$] + \tkzLabelY + \tkzGrid + \tkzFct[domain=5:40]{0.1*\x**2+2*\x+60} + \foreach \vv in {5,10,...,40}{% + \tkzDefPointByFct(\vv) + \tkzDrawPoint(tkzPointResult)} + \tkzFct[domain=5:40]{(108*log(\x)-158)} + \tkzText(37.5,280){$C$} + \tkzText(37.5,220){$R$} + \tkzDefSetOfPoints{% + 5/15,10/90,15/135,20/170,25/190,30/200,35/230,40/240} +\tkzDrawSetOfPoints[mark = x,mark size=3pt] +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-6-1.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-6-1.tex new file mode 100644 index 0000000000..73f217354f --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-6-1.tex @@ -0,0 +1,37 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 65 (Section 14.6.1 : Le code) + +\begin{tikzpicture} +\tkzInit[xmin=-1,xmax=1,ymin=-1.8,ymax=1.2,xstep=0.1,ystep=0.2] +\tkzGrid +\tkzAxeXY +\tkzFct[samples = 400, line width=4pt, color = red,opacity=.5](-1---1){1/(1+8*\x*\x)} + \tkzFct[smooth,samples = 400, line width=1pt, color = blue,domain =-1:1]% +{1.0+(((((((((((((((((((( + 8140.04642)*\x + +0.01544)*\x + -32356.67279)*\x + -0.05562)*\x + +54061.87086)*\x + +0.08097)*\x + -49850.83249)*\x + -0.05934)*\x + +28118.29594)*\x + +0.02540)*\x + -10240.01777)*\x + -0.00580)*\x + +2516.04640)*\x + +0.00071)*\x + -444.23476)*\x + -0.00004)*\x + +62.60245)*\x + +0.00000)*\x + -7.99142)*\x + -0.00000)*\x} + \tkzSetUpPoint[size=16,color=black,fill=yellow] + \foreach \v in {-1,-0.8,---.,1}{\tkzDefPointByFct[draw](\v)} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-7-1.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-7-1.tex new file mode 100644 index 0000000000..48f7a80220 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-7-1.tex @@ -0,0 +1,22 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 66 (Section 14.7.1 : Tableau de variations) + + \begin{tikzpicture} + \tkzTab% + { $v$ /1,% + $g'(v)$ /1,% + $g(v)$ /3% + }% + { $b$ ,% + $3b$ ,% + $+\infty$% + }% + {0,$+$,$0$,$-$,t} + {-/ $0$ /,% + +/$\dfrac{8}{27b}$ /,% + -/ $0$ /}% +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-7-2.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-7-2.tex new file mode 100644 index 0000000000..d543f04cc6 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-7-2.tex @@ -0,0 +1,17 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 67 (Section 14.7.2 : Première courbe avec $ b=1$) + + \begin{tikzpicture}[xscale=2,yscale=2.5] + \tkzInit[xmin=0,xmax=6,ymax=0.5,ystep=0.1] + \tkzDrawX[label=$v$] + \tkzDrawY[label=$g(v)$] + \tkzGrid(0,0)(6,0.5) + \tkzFct[color = red,domain =1:6]{(2*(x-1)*(x-1))/(x*x*x)} + \tkzDrawTangentLine[color=blue,draw](3) + \tkzDefPointByFct(1) + \tkzText[draw, fill = brown!30](4,0.1){$g(v)=2\dfrac{(v-1)^2}{v^3}$} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-7-3.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-7-3.tex new file mode 100644 index 0000000000..c46720bfce --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-7-3.tex @@ -0,0 +1,17 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 68 (Section 14.7.3 : Deuxième courbe $b=1/3$ ) + + \begin{tikzpicture}[scale=1.2] + \tkzInit[xmin=0,xmax=2,xstep=0.2,ymax=1,ystep=0.1] + \tkzAxeXY + \tkzGrid(0,0)(2,1) + \tkzFct[color = red,domain =1/3:2]{(2*(\x-1./3)*(\x-1./3))/(\x*\x*\x)} + \tkzDrawTangentLine[draw,color=blue,kr=.5,kl=.5](1) + \tkzDefPointByFct(1) + \tkzText[draw,fill = brown!30](1.2,0.3)% + {$g(v)=2\dfrac{\left(v-\dfrac{1}{3}\right)^2}{v^3}$} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-7-4.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-7-4.tex new file mode 100644 index 0000000000..da73665eeb --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-7-4.tex @@ -0,0 +1,17 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 69 (Section 14.7.4 : Troisième courbe $ b=32/27$ ) + + \begin{tikzpicture}[scale=1.2] + \tkzInit[xmin=0,xmax=10,ymax=.35,ystep=0.05]; + \tkzAxeXY + \tkzGrid(0,0)(10,.35) + \tkzFct[color = red, + domain =1.185:10]{(2*(\x-32./27)*(\x-32./27))/(\x*\x*\x)} + \tkzDrawTangentLine[draw,color=blue,kr=2,kl=2](3.555) + \tkzText[draw,fill = brown!30](5,0.3)% + {$g(v)=2\dfrac{\left(v-\dfrac{32}{27}\right)^2}{v^3}$} + \end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-8-1.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-8-1.tex new file mode 100644 index 0000000000..a5c1afc3e3 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-8-1.tex @@ -0,0 +1,25 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 70 (Section 14.8.1 : Courbes de \tkzname{Van der Walls} ) + +\begin{tikzpicture}[scale=4] + \tkzInit[xmax=3,ymax=2]; + \tkzAxeXY + \tkzGrid(0,0)(3,2) + \tkzFct[color = red,domain =1/3:3]{0.125*(3*\x-1)+0.375*(3*\x-1)/(\x*\x)} + \tkzDefPointByFct[draw](2) + \tkzDefPointByFct[draw](3) + \tkzDrawTangentLine[draw,color=blue](1) + \tkzFct[color = green,domain =1/3:3]{0.125*(3*x-1)} + \tkzSetUpPoint[size=8,fill=orange] + \tkzDefPointByFct[draw](3) + \tkzDefPointByFct[draw](1/3) + \tkzDefPoint(1,1){f} + \tkzDrawPoint(f) + \tkzText[draw,fill = white,text=red](1,1.5)% +{$f(x)=\dfrac{1}{8}(3x-1)+\dfrac{3}{8}\left(\dfrac{3x-1}{x^2}\right)$} +\tkzText[draw,fill = white,text=green](2,0.4){$g(x) = \dfrac{3x-1}{8}$} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-8-2.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-8-2.tex new file mode 100644 index 0000000000..4012a55b00 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-14-8-2.tex @@ -0,0 +1,22 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 71 (Section 14.8.2 : Courbes de \tkzname{Van der Walls} (suite)) + +\begin{tikzpicture}[xscale=4,yscale=1.5] + \tkzInit[xmin=0,xmax=3,ymax=3,ymin=-4] + \tkzGrid(0,-4)(3,3) + \tkzAxeXY + \tkzClip + \tkzVLine[color=red,style=dashed]{1/3} + \tkzFct[color=red,domain = 0.35:3]{-3/(x*x) +4/(3*x-1)} + \tkzFct[color=blue,domain = 0.35:3]{-3/(x*x) +27/(4*(3*x-1))} + \tkzFct[color=orange,domain = 0.35:3]{-3/(x*x) +8/(3*x-1)} + \tkzFct[color=green,domain = 0.35:3]{-3/(x*x) +7/(3*x-1)} + \tkzText[draw,fill = white,text=brown](2,-2)% + {$f(x)=-\dfrac{3}{x^2}+\dfrac{8\alpha}{3x-1}$ \hspace{.5cm}% + avec $\alpha \in% + \left\{\dfrac{1}{2}~;~\dfrac{27}{32}~;~\dfrac{7}{8}~;~1\right\}$} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-15-0-1.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-15-0-1.tex new file mode 100644 index 0000000000..10ba742294 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-15-0-1.tex @@ -0,0 +1,20 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 72 (Section 15.0.1 : Première représentation) + + \begin{tikzpicture}[xscale=2.25,yscale=1] + \tkzInit[xmin=-2,xmax=3,ymin=-1,ymax=6] + \tkzDrawX + \tkzDrawY + \tkzFct[samples=100,domain = -1:2.2]{x+exp(x-1)} + \tkzDefPoint(1,2){pt1} + \tkzDrawPoint(pt1) + \tkzPointShowCoord[xlabel=$1$,ylabel=$2$](pt1) + \tkzDefPoint(2,4.71828){pt2} + \tkzDrawPoint(pt2) + \tkzPointShowCoord[xlabel=$2$,ylabel=$\text{e}+2$](pt2) + \tkzRep +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-15-0-2.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-15-0-2.tex new file mode 100644 index 0000000000..5fc013f510 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-15-0-2.tex @@ -0,0 +1,20 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 73 (Section 15.0.2 : Seconde représentation) + + \begin{tikzpicture}[xscale=2.25,yscale=1] + \tkzInit[xmin=-2,xmax=3,ymin=-1,ymax=6] + \tkzDrawX + \tkzDrawY + \tkzFct[samples=100,domain =-1:2.2]{x*x/2+exp(x-1)} + \tkzDefPoint(1,1.5){pt1} + \tkzDrawPoint(pt1) + \tkzPointShowCoord[xlabel=$1$,ylabel=$3/2$](pt1) + \tkzDefPoint(2,4.71828){pt2} + \tkzDrawPoint(pt2) + \tkzPointShowCoord[xlabel=$2$,ylabel=$\text{e}+2$](pt2) + \tkzRep +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-16-1-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-16-1-0.tex new file mode 100644 index 0000000000..d56bdd5f44 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-16-1-0.tex @@ -0,0 +1,18 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 74 (Section 16.1 : \tkzname{pgfmath}) + +\begin{tikzpicture} + \def\Asmall{0.7 } \def\Abig{3 } \def\B{20}%Herbert Voss + \path[fill=blue!40!black,domain=-pi:pi,samples=500,smooth,variable=\t]% + plot({\Abig*cos(\t r)+\Asmall*cos(\B*\t r)},% + {0.5*\Abig*sin(\t r)+0.5*\Asmall*sin(\B*\t r)}); + \def\Asmall{0.7 } \def\Abig{3 } \def\B{10} + \path[shift={(1,1)},fill=blue!40!black,% + domain=-pi:pi,samples=500,smooth,variable=\t]% + plot({\Abig*cos(\t r)+\Asmall*cos(\B*\t r)},% + {0.5*\Abig*sin(\t r)+0.5*\Asmall*sin(\B*\t r)}); +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-16-2-0.tex b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-16-2-0.tex new file mode 100644 index 0000000000..d3f8c51548 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/examples/latex/tkzFct-16-2-0.tex @@ -0,0 +1,15 @@ +\input{preamble-standalone.ltx} +\begin{document} + +% Ex. No. 75 (Section 16.2 : \tkzname{fp.sty}) + +\begin{tikzpicture} + \tkzInit[xmin=-0.2,xmax=0.2,xstep=.1, + ymin=-12,ymax=6,ystep=2] + \tkzGrid + \tkzAxeXY + \tkzFct[domain = -.1:.2]% + {-5+x*(0.5+4*x*(x*(-2+x*1)))} +\end{tikzpicture} + +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-fct/latex/tkz-fct.sty b/obsolete/macros/latex/contrib/tkz/tkz-fct/latex/tkz-fct.sty new file mode 100644 index 0000000000..881066229b --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-fct/latex/tkz-fct.sty @@ -0,0 +1,697 @@ +% Copyright 2020 by Alain Matthes +% +% This file may be distributed and/or modified +% +% 1. under the LaTeX Project Public License and/or +% 2. under the GNU Public License. +% Objet : fonctions numériques en 2D with gnuplot +% constants from tkz-base +% \tkz@init@xstep +% \tkz@init@ystep +\typeout{2020/02/06 1.2 beta function tkz-fct} +%<---------------------------------------------------------------------------> +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{tkz-fct}[2020/02/06 1.2 beta function ] +\newcount\tkz@tkzf@fct +\edef\tkzTWOPTCode{\the\catcode`\:} +\tkz@tkzf@fct=0 % +\def\tkzfctloaded{} +%<---------------------------------------------------------------------------> +% Initialisation +%<---------------------------------------------------------------------------> +\RequirePackage{tkz-base,fp} +% % Code from Christian Tellechea 2009 % modified by AM +% modified \FP@pow from fp.sty +\def\FP@pow#1#2#3{% + \FP@beginmessage{POW}% + {\def\FP@beginmessage##1{}% + \def\FP@endmessage##1{}% + \FPifzero{#2}% + \expandafter\@firstoftwo + \else + \expandafter\@secondoftwo + \fi + {\FP@pow@zero{#3}}% + {\FPifint{#3}% + \expandafter\@firstoftwo + \else + \expandafter\@secondoftwo + \fi +{\FPifneg{#2}% + \FPneg\FP@tmpd{#2}% + \FPln\FP@tmpd\FP@tmpd + \FPmul\FP@tmpd\FP@tmpd{#3}% + \FPexp\FP@tmpd\FP@tmpd + \FPtrunc\FP@tmp{#3}0% + \ifodd\FP@tmp + \FPneg\FP@tmp\FP@tmpd + \else + \let\FP@tmp\FP@tmpd + \fi +\else + \FPln\FP@tmpd{#2}% + \FPmul\FP@tmpd\FP@tmpd{#3}% + \FPexp\FP@tmp\FP@tmpd +\fi +}% +{\FPln\FP@tmpd{#2}% + \FPmul\FP@tmpd\FP@tmpd{#3}% + \FPexp\FP@tmp\FP@tmpd}% +}% +\global\let\FP@tmp\FP@tmp}% +\FP@endmessage{}% +\let#1\FP@tmp} +%<---------------------------------------------------------------------------> +% Styles +%<---------------------------------------------------------------------------> +\def\tkzfctset#1{\pgfkeys{/tkztan/.cd,#1}} + +\tkzfctset{tan style/.style={->,>=latex}} %<---------------------------------------------------------------------------> +% tkzFct +%<---------------------------------------------------------------------------> +\newif\iftkz@draw +\newif\iftkz@fp +\def\tkz@dmin{-5}\def\tkz@dmax{5} +\global\let\tkz@tmp@xa\tkz@init@xmin% modif 2016 +\global\let\tkz@tmp@xb\tkz@init@xmax% modif 2016 +\global\let\tkz@tmp@ya\tkz@init@ymin% modif 2016 +\global\let\tkz@tmp@yb\tkz@init@ymax% modif 2016 +\catcode`\:=12 +\pgfkeys{/@tkzfct/.cd, + domain/.code args = {#1:#2} {\FPeval\tkz@min{(#1)} + \FPeval\tkz@max{(#2)}}, + domain = \tkz@tmp@xa:\tkz@tmp@xb, + samples/.store in = \tkz@fct@samples, + id/.store in = \tkz@fct@id, + fp/.is if = tkz@fp, + fp/.default = false, + samples = 200, + fp = true, + id = tkzfct, + /@tkzfct/.search also = {/tikz}, +}% + +\def\tkzFct{\pgfutil@ifnextchar[{\tkzActivOff\tkz@fct}{\tkz@fct[]}} +\def\tkz@fct[#1]#2{% +\pgfqkeys{/@tkzfct}{#1}% +\iftkz@init@NO% + \FPdiv{\tkz@x@delta}{\tkz@init@xorigine}{\tkz@init@xstep}% + \FPdiv{\tkz@y@delta}{\tkz@init@yorigine}{\tkz@init@ystep}% +\else + \FPset{\tkz@x@delta}{0}% + \FPset{\tkz@y@delta}{0}% +\fi% +% stockage +\advance\tkz@tkzf@fct by 1 % +\FPdiv\tkz@ba{\tkz@min}{\tkz@init@xstep}% +\FPdiv\tkz@bb{\tkz@max}{\tkz@init@xstep}% +\def\x{(x*\tkz@init@xstep)}% +\expandafter\edef\csname tkzFctgnu\@alph\tkz@tkzf@fct \endcsname{#2}% +\expandafter\edef\csname tkzFctgnuLast\endcsname{#2} +% %%%%%%% +\begin{scope} + \clip (\tkz@xa,\tkz@ya) rectangle (\tkz@xb,\tkz@yb); + \draw[#1, xshift = -\tkz@x@delta cm,yshift = -\tkz@y@delta cm]% + plot[ samples = \tkz@fct@samples,id=\tkz@fct@id, + domain= \tkz@ba:\tkz@bb] function{(#2)/\tkz@init@ystep};% +\end{scope} +% %%%%%%% + \let\tkz@tmp@xstep\tkz@init@xstep + \def\tkz@init@xstep{1} +\iftkz@fp% + \ReplaceSubStrings{\tkz@tempa}{#2}{log}{ln} + \ReplaceSubStrings{\tkz@tempb}{\tkz@tempa}{**}{^} + \ReplaceSubStrings{\tkz@tempa}{\tkz@tempb}{\x}{x} + \ReplaceSubStrings{\tkz@tempb}{\tkz@tempa}{asin}{arcsin} + \ReplaceSubStrings{\tkz@tempa}{\tkz@tempb}{acos}{arccos} + \ReplaceSubStrings{\tkz@tempb}{\tkz@tempa}{atan}{arctan} + \expandafter\edef\csname tkzFct\@alph\tkz@tkzf@fct\endcsname{\tkz@tempb}% + \expandafter\edef\csname tkzFctLast\endcsname{\tkz@tempb}% + \fi + \let\tkz@init@xstep\tkz@tmp@xstep + \catcode`\:=\tkzTWOPTCode\relax +}% +%<---------------------------------------------------------------------------> +% point d'une courbe (new method) +%<---------------------------------------------------------------------------> +\pgfkeys{/tkzfctpt/.cd, + draw/.is if = tkz@draw, + draw/.default = true, + with/.store in = \tkz@fct@used, + ref/.store in = \tkz@fct@ref, + draw = false, + with = {}, + ref = {} + } + +\def\tkzDefPointByFct{\pgfutil@ifnextchar[{\tkz@fctpoint}{\tkz@fctpoint[]}} +\def\tkz@fctpoint[#1](#2){% +\pgfqkeys{/tkzfctpt}{#1} + \FPeval\x{(#2)}% + \ifx\tkzutil@empty\tkz@fct@used + \FPeval\tkz@fx{\tkzFctLast} + \else + \edef\tkz@fct{\csname tkzFct\tkz@fct@used\endcsname} + \FPeval\tkz@fx{\tkz@fct} + \fi + \tkzDefPoint(\x,\tkz@fx){tkzPointResult}% + \iftkz@draw + \tkzDrawPoint(tkzPointResult) + \fi +\ifx\tkzutil@empty\tkz@fct@ref +\else + \tkzGetPoint{\tkz@fct@ref} +\fi +}% +%<---------------------------------------------------------------------------> +% tangente \tkzDrawTangentLine +%<---------------------------------------------------------------------------> +\pgfkeys{/@tkztan/.cd, + with/.store in = \tkz@fct@used, + kr/.store in = \tkz@tan@kr, + kl/.store in = \tkz@tan@kl, + draw/.is if = tkz@draw, + draw/.default = true, + draw = false, + with = {}, + kr = 1, + kl = 1, + /@tkztan/.search also = {/tikz}, +}% +%<---------------------------------------------------------------------------> +\def\tkzDrawTangentLine{\pgfutil@ifnextchar[{\tkz@DrawTangentLine}{% + \tkz@DrawTangentLine[]}} +\def\tkz@DrawTangentLine[#1](#2){% +\begingroup +\pgfqkeys{/@tkztan}{#1} +\FPeval\x{(#2)}% +\ifx\tkzutil@empty\tkz@fct@used + \FPeval\tkz@img{\tkzFctLast} + \let\tkz@fct\tkzFctLast +\else + \edef\tkz@fct{\csname tkzFct\tkz@fct@used\endcsname} + \FPeval\tkz@img{\tkz@fct} + \fi +\let\tkz@old@img\tkz@img +\let\tkz@old@x\x +\tkzDefPoint(\tkz@old@x,\tkz@old@img){tkzPointResult} +\FPdiv{\tkz@krx}{\tkz@tan@kr}{\tkz@init@xstep} +\FPdiv{\tkz@kry}{\tkz@tan@kr}{\tkz@init@ystep} +\FPdiv{\tkz@klx}{\tkz@tan@kl}{\tkz@init@xstep} +\FPdiv{\tkz@kly}{\tkz@tan@kl}{\tkz@init@ystep} + % demi tgt--> droite +\FPifzero{\tkz@tan@kr}% +\else +\FPadd{\x}{\tkz@old@x}{0.000001}% +\FPeval\tkz@img{\tkz@fct}% +\FPadd{\tkz@deltay}{\tkz@old@img}{-\tkz@img}% +\FPmul{\tkz@slope}{\tkz@deltay}{1000000}% +\protected@edef\tkz@temp{% +\noexpand\draw[/tkztan/tan style,/@tkztan/.cd,#1]}\tkz@temp% + (tkzPointResult)--++(\tkz@krx,-\tkz@kry*\tkz@slope); +\fi +% demi tgt --> gauche +\FPifzero{\tkz@tan@kl}% + \else +\FPadd{\x}{\tkz@old@x}{-0.000001} +\FPeval\tkz@img{\tkz@fct}% +\FPadd{\tkz@deltay}{\tkz@old@img}{-\tkz@img} +\FPmul{\tkz@slope}{\tkz@deltay}{-1000000} +\protected@edef\tkz@temp{% +\noexpand\draw[/tkztan/tan style,/@tkztan/.cd,#1]}\tkz@temp% + (tkzPointResult)--++(-\tkz@klx,\tkz@kly*\tkz@slope); + \fi + \iftkz@draw + \tkzDrawPoint(tkzPointResult) + \fi +\endgroup +} +%<---------------------------------------------------------------------------> +% tkzArea +%<---------------------------------------------------------------------------> +\pgfkeys{% +/tkzarea/.cd, + domain/.code args={#1:#2} {\FPeval\tkz@min{(#1)} + \FPeval\tkz@max{(#2)}}, + opacity/.store in = \tkz@fct@opacity, + id/.store in = \tkz@fct@id, + color/.store in = \tkz@fct@color, + samples/.store in = \tkz@fct@samples, + domain = -5:5, + color = \tkz@otherlinecolor, + samples = 200, + id = tkzfonct, + opacity = .5, + /tkzarea/.search also = {/tikz} + } +\def\tkzArea{\pgfutil@ifnextchar[{\catcode`\:=12 \tkz@aire}{\tkz@aire[]}} +\def\tkz@aire[#1]{% +\begingroup +\pgfqkeys{/tkzarea}{#1} +\iftkz@init@NO + \FPdiv{\tkz@x@delta}{\tkz@init@xorigine}{\tkz@init@xstep}% + \FPdiv{\tkz@y@delta}{\tkz@init@yorigine}{\tkz@init@ystep}% +\else + \FPset{\tkz@x@delta}{0} + \FPset{\tkz@y@delta}{0}% +\fi% +\def\x{(x*\tkz@init@xstep)} +\FPdiv\tkz@ba{\tkz@min}{\tkz@init@xstep}% +\FPdiv\tkz@bb{\tkz@max}{\tkz@init@xstep}% +\begin{scope}[] + \path[ fill, + xshift = -\tkz@x@delta cm, + yshift = -\tkz@y@delta cm, + color = \tkz@fct@color,% + fill opacity = \tkz@fct@opacity,#1, + domain = \tkz@ba:\tkz@bb, + samples = \tkz@fct@samples]% + (\tkz@ba,0)--plot [id = \tkz@fct@id]% + function{(\tkzFctgnuLast)/\tkz@init@ystep}--(\tkz@bb,0); + \end{scope} +\endgroup +} +\let\tkzDrawArea\tkzArea + +%<---------------------------------------------------------------------------> +% tkzAreafg +%<---------------------------------------------------------------------------> +\pgfkeys{/@tkzareafg/.cd, + domain/.code args ={#1:#2} {\FPeval\tkz@min{(#1)} + \FPeval\tkz@max{(#2)}}, + between/.code args ={#1 and #2}{\def\tkz@below{#1} + \def\tkz@above{#2}}, + opacity/.store in = \tkz@fct@opacity, + id/.store in = \tkz@fct@id, + color/.store in = \tkz@fct@color, + samples/.store in = \tkz@fct@samples, + domain = -5:5, + between = a and b, + color = lightgray, + samples = 200, + id = tkzfonct, + opacity = .5, + /@tkzareafg/.search also = {/tikz} + } +\def\tkzAreafg{\pgfutil@ifnextchar[{\tkz@airefg}{\tkz@airefg[]}} +\def\tkz@airefg[#1]{% +\begingroup +\pgfqkeys{/@tkzareafg}{#1} +\def\tkz@fctsup{\csname tkzFctgnu\tkz@below\endcsname} +\def\tkz@fctinf{\csname tkzFctgnu\tkz@above\endcsname} +\iftkz@init@NO% + \FPdiv{\tkz@x@delta}{\tkz@init@xorigine}{\tkz@init@xstep}% + \FPdiv{\tkz@y@delta}{\tkz@init@yorigine}{\tkz@init@xstep}% +\else + \FPset{\tkz@x@delta}{0} + \FPset{\tkz@y@delta}{0}% +\fi% +% essai du test sur xstep +\def\x{(x*\tkz@init@xstep)} +\FPdiv\tkz@ba{\tkz@min}{\tkz@init@xstep} +\FPdiv\tkz@bb{\tkz@max}{\tkz@init@xstep} +\begin{scope}[domain = \tkz@ba:\tkz@bb, + samples = \tkz@fct@samples, + id = \tkz@fct@id] + \clip (\tkz@ba,\tkz@ya)--plot function{(\tkz@fctsup)/\tkz@init@ystep}% + --(\tkz@bb,\tkz@ya);% + \clip (\tkz@ba,\tkz@yb)--plot function{(\tkz@fctinf)/\tkz@init@ystep}% + --(\tkz@bb,\tkz@yb); + \fill [color = \tkz@fct@color, + fill opacity = \tkz@fct@opacity, + /@tkzareafg/.cd, + #1]% + (\tkz@ba,\tkz@ya) rectangle (\tkz@bb,\tkz@yb); +\end{scope} +\endgroup +} +\let\tkzDrawAreafg\tkzAreafg +\def\tkz@pamin{-5}\def\tkz@pamax{5} +%<---------------------------------------------------------------------------> +% tkzFctPar +%<---------------------------------------------------------------------------> +\def\tkzFctPar{\pgfutil@ifnextchar[{\catcode`\:=12 \tkz@fctp}{\tkz@fctp[]}} +\def\tkz@fctp[#1]#2#3{% +\begingroup +\pgfkeys{/@tkzfct/.cd, + domain = \tkz@pamin:\tkz@pamax, + samples = 200, + fp = true, + id = tkzfct} +\pgfqkeys{/@tkzfct}{#1} + \iftkz@init@NO% + \FPdiv{\tkz@x@delta}{\tkz@init@xorigine}{\tkz@init@xstep}% + \FPdiv{\tkz@y@delta}{\tkz@init@yorigine}{\tkz@init@ystep}% + \else + \FPset{\tkz@x@delta}{0} + \FPset{\tkz@y@delta}{0}% + \fi% + \begin{scope}[samples = \tkz@fct@samples] + \tkzActivOff + \clip (\tkz@xa,\tkz@ya) rectangle (\tkz@xb,\tkz@yb); + \draw [xshift = -\tkz@x@delta cm,% + yshift = -\tkz@y@delta cm, + /@tkzfct/.cd, #1]% + plot [parametric,domain = \tkz@min:\tkz@max,% + id = tkzparfct]% + function {(#2)/\tkz@init@xstep,(#3)/\tkz@init@ystep}; + \tkzActivOn + \end{scope} +\endgroup +} +%<---------------------------------------------------------------------------> +% tkzFctPolar +%<---------------------------------------------------------------------------> +\def\tkz@pomin{0}\def\tkz@pomax{2*pi} +\def\tkzFctPolar{\pgfutil@ifnextchar[{% + \catcode`\:=12 \tkz@FctPolar}{\tkz@FctPolar[]}} +\def\tkz@FctPolar[#1]#2{% +\begingroup +\pgfkeys{/@tkzfct/.cd, + domain = \tkz@pomin:\tkz@pomax, + fp = true, + samples = 200, + id = tkzfctpolar + } +\pgfqkeys{/@tkzfct}{#1} + \iftkz@init@NO% + \FPdiv{\tkz@x@delta}{\tkz@init@xorigine}{\tkz@init@xstep}% + \FPdiv{\tkz@y@delta}{\tkz@init@yorigine}{\tkz@init@ystep}% + \else + \FPset{\tkz@x@delta}{0} + \FPset{\tkz@y@delta}{0}% + \fi% + + \begin{scope} + \tkzActivOff + \draw [xshift = -\tkz@x@delta cm,% + yshift = -\tkz@y@delta cm, + /@tkzfct/.cd, #1]% + plot [raw gnuplot,id = tkzpolarfct]% + function { set polar;set samples \tkz@fct@samples ; set trange [\tkz@min:\tkz@max]; plot (#2)/\tkz@init@xstep}; + \tkzActivOn + \end{scope} +\endgroup +} +%<---------------------------------------------------------------------------> +% tkzDrawRiemannSum +%<---------------------------------------------------------------------------> +\pgfkeys{/@tkzriemann/.cd, + interval/.code args={#1:#2} {\FPeval\tkz@min{(#1)} + \FPeval\tkz@max{(#2)}}, + number/.store in = \tkz@fct@nb, + opacity/.store in = \tkz@fct@opacity, + color/.store in = \tkz@fct@color, + /@tkzriemann/.search also = {/tikz}, +} +\def\tkzDrawRiemannSum{\pgfutil@ifnextchar[{% + \catcode`\:=12 \tkz@DrawRiemannSum}{\tkz@DrawRiemannSum[]}} +\def\tkz@DrawRiemannSum[#1]{% +\begingroup +\pgfkeys{/@tkzriemann/.cd, + interval = 1:2, + number = 10, + opacity = 0.5, + line width = 1pt +} +\pgfqkeys{/@tkzriemann}{#1} + \iftkz@init@NO% + \FPdiv{\tkz@x@delta}{\tkz@init@xorigine}{\tkz@init@xstep}% + \FPdiv{\tkz@y@delta}{\tkz@init@yorigine}{\tkz@init@ystep}% + \else + \FPset{\tkz@x@delta}{0} + \FPset{\tkz@y@delta}{0}% + \fi% +\FPadd\tkz@intwd{\tkz@max}{-\tkz@min} +\FPdiv\tkz@delta{\tkz@intwd}{\tkz@fct@nb} +\FPadd\tkz@fct@nb{\tkz@fct@nb}{-1} + \begin{scope} +\foreach \i in {0,1,...,\tkz@fct@nb}{% + \FPeval\x{(\tkz@min+i*\tkz@delta)} + \FPeval\tkz@fx{\tkzFcta} + \FPadd\tkz@next{\x}{\tkz@delta} + \draw[ color=\tkz@fct@color, + opacity=\tkz@fct@opacity, + /@tkzriemann/.cd,#1] (\x ,0 ) rectangle (\tkz@next, + \tkz@fx/\tkz@init@ystep ); +} + \end{scope} +\endgroup +} +%<---------------------------------------------------------------------------> +% tkzDrawRiemannSumInf +%<---------------------------------------------------------------------------> +\pgfkeys{/@tkzriemann/.cd, + interval/.code args={#1:#2} {\FPeval\tkz@min{(#1)} + \FPeval\tkz@max{(#2)}}, + number/.store in = \tkz@fct@nb, + opacity/.store in = \tkz@fct@opacity, + color/.store in = \tkz@fct@color, + /@tkzriemann/.search also = {/tikz}, + } +\def\tkzDrawRiemannSumInf{\pgfutil@ifnextchar[{% + \catcode`\:=12 \tkz@DrawRiemannSumInf}{\tkz@DrawRiemannSumInf[]}} +\def\tkz@DrawRiemannSumInf[#1]{% +\begingroup +\pgfkeys{/@tkzriemann/.cd, + interval = 1:2, + number = 10, + opacity = 0.5, + line width = 1pt + } +\pgfqkeys{/@tkzriemann}{#1} + \iftkz@init@NO% + \FPdiv{\tkz@x@delta}{\tkz@init@xorigine}{\tkz@init@xstep}% + \FPdiv{\tkz@y@delta}{\tkz@init@yorigine}{\tkz@init@ystep}% + \else + \FPset{\tkz@x@delta}{0} + \FPset{\tkz@y@delta}{0}% + \fi% +\FPadd\tkz@intwd{\tkz@max}{-\tkz@min} +\FPdiv\tkz@delta{\tkz@intwd}{\tkz@fct@nb} +\FPadd\tkz@fct@nb{\tkz@fct@nb}{-1} + +\begin{scope} +\foreach \i in {0,1,...,\tkz@fct@nb}{% + \FPeval\x{(\tkz@min+i*\tkz@delta)} + \FPeval\tkz@fx{\tkzFcta} + \let\tkz@firstimg\tkz@fx + \let\tkz@firstx\x + \FPadd\tkz@next{\x}{\tkz@delta} + \let\tkzFctTmp\tkzFcta + \FPset\x{\tkz@next} + \FPeval\tkz@fxnext{\tkzFcta} + \ifdim \tkz@fx pt < \tkz@fxnext pt\relax + \draw[opacity=\tkz@fct@opacity,/@tkzriemann/.cd,#1] (\tkz@firstx ,0 ) rectangle (\tkz@next , \tkz@firstimg/\tkz@init@ystep ); +\else +\draw[opacity=\tkz@fct@opacity,/@tkzriemann/.cd,#1] (\tkz@firstx ,0 ) rectangle (\tkz@next , \tkz@fxnext/\tkz@init@ystep ); + \fi + } + \end{scope} +\endgroup +} +%<---------------------------------------------------------------------------> +% tkzDrawRiemannSumSup +%<---------------------------------------------------------------------------> + +\def\tkzDrawRiemannSumSup{\pgfutil@ifnextchar[{% + \catcode`\:=12 \tkz@DrawRiemannSumSup}{\tkz@DrawRiemannSumSup[]}} +\def\tkz@DrawRiemannSumSup[#1]{% +\begingroup +\pgfkeys{/@tkzriemann/.cd, + interval = 1:2, + number = 10, + opacity = 0.5, + line width = 1pt + } +\pgfqkeys{/@tkzriemann}{#1} + \iftkz@init@NO% + \FPdiv{\tkz@x@delta}{\tkz@init@xorigine}{\tkz@init@xstep}% + \FPdiv{\tkz@y@delta}{\tkz@init@yorigine}{\tkz@init@ystep}% + \else + \FPset{\tkz@x@delta}{0} + \FPset{\tkz@y@delta}{0}% + \fi% +\FPadd\tkz@intwd{\tkz@max}{-\tkz@min} +\FPdiv\tkz@delta{\tkz@intwd}{\tkz@fct@nb} +\FPadd\tkz@fct@nb{\tkz@fct@nb}{-1} + +\begin{scope} +\foreach \i in {0,1,...,\tkz@fct@nb}{% + \FPeval\x{(\tkz@min+i*\tkz@delta)} + \FPeval\tkz@fx{\tkzFcta} + \let\tkz@firstimg\tkz@fx + \let\tkz@firstx\x + \FPadd\tkz@next{\x}{\tkz@delta} + \let\tkzFctTmp\tkzFcta + \FPset\x{\tkz@next} + \FPeval\tkz@fxnext{\tkzFcta} +\ifdim \tkz@fx pt > \tkz@fxnext pt\relax + \draw[opacity=\tkz@fct@opacity,/@tkzriemann/.cd,#1] (\tkz@firstx ,0 ) rectangle (\tkz@next , \tkz@firstimg/\tkz@init@ystep ); +\else +\draw[opacity=\tkz@fct@opacity,/@tkzriemann/.cd,#1] (\tkz@firstx ,0 ) rectangle (\tkz@next , \tkz@fxnext/\tkz@init@ystep ); + \fi + } + \end{scope} +\endgroup +} +%<---------------------------------------------------------------------------> +% tkzDrawRiemannSumMid +%<---------------------------------------------------------------------------> + +\def\tkzDrawRiemannSumMid{\pgfutil@ifnextchar[{% + \catcode`\:=12 \tkz@DrawRiemannSumMid}{\tkz@DrawRiemannSumMid[]}} +\def\tkz@DrawRiemannSumMid[#1]{% +\begingroup +\pgfkeys{/@tkzriemann/.cd, + interval = 1:2, + number = 10, + opacity = 0.5, + line width = 1pt + } +\pgfqkeys{/@tkzriemann}{#1} + \iftkz@init@NO% + \FPdiv{\tkz@x@delta}{\tkz@init@xorigine}{\tkz@init@xstep}% + \FPdiv{\tkz@y@delta}{\tkz@init@yorigine}{\tkz@init@ystep}% + \else + \FPset{\tkz@x@delta}{0} + \FPset{\tkz@y@delta}{0}% + \fi% +\FPadd\tkz@intwd{\tkz@max}{-\tkz@min} +\FPdiv\tkz@delta{\tkz@intwd}{\tkz@fct@nb} +\FPadd\tkz@fct@nb{\tkz@fct@nb}{-1} + +\begin{scope} +\foreach \i in {0,1,...,\tkz@fct@nb}{% + \FPeval\x{(\tkz@min+i*\tkz@delta)} + \FPeval\tkz@fx{\tkzFcta} + \let\tkz@firstimg\tkz@fx + \let\tkz@firstx\x + \FPadd\tkz@next{\x}{\tkz@delta} + \FPset\x{\tkz@next} + \FPeval\tkz@fxnext{\tkzFcta} + \FPeval\tkz@midimg{(\tkz@firstimg+\tkz@fxnext)/2} + + \draw[opacity=\tkz@fct@opacity,/@tkzriemann/.cd,#1] (\tkz@firstx ,0 ) rectangle (\tkz@next , \tkz@midimg/\tkz@init@ystep ); + } + \end{scope} +\endgroup +} + +%<--------------------------------------------------------------------------–> +% tkzXH F rien T et [ ou ] +%<--------------------------------------------------------------------------–> +\def\tkz@ComT{v} % need + +\pgfkeys{/@tkzxh/.cd, + posgrad/.store in = \tkz@tkzXh@posgrad, + left/.store in = \tkz@tkzXh@left, + right/.store in = \tkz@tkzXh@right, + color/.store in = \tkz@tkzXh@color, + posgrad = {below=6 pt}, + color = \tkz@mainlinecolor, + left = {}, + right = {}, + } +\def\tkzXH{\pgfutil@ifnextchar[{\tkz@xh}{\tkz@xh[]}} +\def\tkz@xh[#1]#2{% + \pgfqkeys{/@tkzxh}{#1} +\begingroup +\foreach \xA/\RA/\sA/\xB/\RB/\sB in {#2}{% + \tkzDefPoint(\xA,0){deb}\tkzDefPoint(\xB,0){fin} + \begin{scope}[decoration={border,angle=-45, + amplitude=0.3cm,segment length=2mm,raise=0.1cm}] + \draw[decorate,\tkz@tkzXh@color,thick] (deb) -- (fin); + \node at (deb) {\Large\textbf{\sA}}; + \node at (fin) {\Large\textbf{\sB}}; +\ifx\RA\tkz@ComT + \protected@edef\tkz@temp{% + \noexpand\node[\tkz@tkzXh@posgrad]}\tkz@temp at (deb){% + \tkz@showgrad{\xA}$\numprint{\tkz@result}$};\fi + +\ifx\RB\tkz@ComT + \protected@edef\tkz@temp{\noexpand\node[\tkz@tkzXh@posgrad]}\tkz@temp% + at (fin){% + \tkz@showgrad{\xB}$\numprint{\tkz@result}$};\fi + +\protected@edef\tkz@temp{% + \noexpand\node[\tkz@tkzXh@posgrad]}\tkz@temp at (\tkz@xa,0) {\tkz@tkzXh@left};% +\protected@edef\tkz@temp{\noexpand\node[\tkz@tkzXh@posgrad]}\tkz@temp% + at (\tkz@xb,0) {\tkz@tkzXh@right}; +\end{scope} +}% +\endgroup +}% +% %<---------------------------------------------------------------------------> +% % tangente obsolete +% %<---------------------------------------------------------------------------> +% \def\tkzTan{\pgfutil@ifnextchar[{\tkz@Tan}{\tkz@Tan[]}} +% +% \def\tkz@Tan[#1]#2(#3)#{ +% \pgfkeys{/@tkztan/.cd, +% draw = false, +% with = {}, +% kr = 1, +% kl = 1 +% } +% \pgfqkeys{/@tkztan}{#1} +% \global\edef\tkz@opttan{#1} +% \FPeval\x{(#3)}% +% \FPeval\tkz@img{#2} +% \let\tkz@yy #2% +% \let\tkz@xx\x% +% \let\tkz@old@img\tkz@img +% \tkz@@Tan +% } +% \def\tkz@@Tan#1{% +% \FPdiv{\tkz@old@x}{\x}{1} +% \let\tkz@nexpty\tkz@img +% \tkz@ptStar[](\tkz@old@x,\tkz@nexpty){#1} +% \FPdiv{\tkz@krx}{\tkz@tan@kr}{\tkz@tmp@xstep} +% \FPdiv{\tkz@kry}{\tkz@tan@kr}{\tkz@init@ystep} +% \FPdiv{\tkz@klx}{\tkz@tan@kl}{\tkz@tmp@xstep} +% \FPdiv{\tkz@kly}{\tkz@tan@kl}{\tkz@init@ystep} +% % demi tgt--> droite +% \FPifzero{\tkz@tan@kr}% +% \else +% \FPadd{\x}{\tkz@xx}{0.000001}% +% \FPeval\tkz@img{\tkz@yy}% +% \FPadd{\tkz@deltay}{\tkz@old@img}{-\tkz@img}% +% \FPmul{\tkz@slope}{\tkz@deltay}{1000000}% +% \protected@edef\tkz@temp{ +% \noexpand\draw[tan style,/@tkztan/.cd,\tkz@opttan,-]}\tkz@temp% +% (#1)--++(\tkz@krx,-\tkz@kry*\tkz@slope); +% \fi +% % demi tgt --> gauche +% \FPifzero{\tkz@tan@kl}% +% \else +% \FPadd{\x}{\tkz@xx}{-0.000001} +% \FPeval\tkz@img{\tkz@yy}% +% \FPadd{\tkz@deltay}{\tkz@old@img}{-\tkz@img} +% \FPmul{\tkz@slope}{\tkz@deltay}{-1000000} +% \protected@edef\tkz@temp{ +% \noexpand +% \draw[tan style,/@tkztan/.cd,\tkz@opttan,-]}\tkz@temp% +% (#1)--++(-\tkz@klx,\tkz@kly*\tkz@slope); +% \fi +% } +%<---------------------------------------------------------------------------> +% point d'une courbe obsolete +%<---------------------------------------------------------------------------> +\def\tkzFctPt{\pgfutil@ifnextchar[{\tkz@fctpt}{\tkz@fctpt[]}} +\def\tkz@fctpt[#1]#2(#3)#{% + \global\edef\tkz@optptfct{#1} + \FPeval\x{(#3)}% + \FPeval\tkz@y{#2} + \tkz@defpoint +} +\def\tkz@defpoint#1{ + \tkzDefPoint(\x,\tkz@y){#1} +\protected@edef\tkz@temp{ + \noexpand \tkzDrawPoint[\tkz@optptfct](#1)}\tkz@temp + \let\tkz@init@xstep\tkz@tmp@xstep +} +%<-------------------------- the end ---------------------------------------> +\endinput + +
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-graph/README b/obsolete/macros/latex/contrib/tkz/tkz-graph/README new file mode 120000 index 0000000000..b6f4fe78cd --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-graph/README @@ -0,0 +1 @@ +readme-tkz-graph.txt
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-Dijkstra.tex b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-Dijkstra.tex new file mode 100644 index 0000000000..d261c6f84b --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-Dijkstra.tex @@ -0,0 +1,153 @@ +\section{Dijkstra} + +{\large Algorithme de Dijkstra :} Plus courte chaîne du sommet $E$ au sommet $S$. + +\medskip + +\subsection{Dijkstra exemple 1} + +\medskip +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Dijkstra] + \SetGraphUnit{4} + \Vertices{square}{B,C,D,A} + \SetGraphUnit{2.82} + \NOWE(B){E} + \NOEA(C){S} + \Edge[label=$3$](E)(A) + \Edge[label=$1$](E)(B) + \Edge[label=$1$](A)(B) + \Edge[label=$3$](B)(C) + \Edge[label=$3$,style={pos=.25}](A)(C) + \Edge[label=$5$,style={pos=.75}](B)(D) + \Edge[label=$4$](A)(D) + \Edge[label=$1$](S)(D) + \Edge[label=$3$](C)(S) + \Edge[label=$1$](C)(D) +\end{tikzpicture} +\end{tkzexample} +\end{center} + + + +\def\ry{$\vrule width 5pt$} +\def\iy{$\infty$} + +%<–––––––––––––––––——————————————————————————————————————————————————————————> +\vbox{\tabskip=0pt \offinterlineskip +\def\tablerule{\noalign{\hskip\tabskip\hrule}} +\halign to \hsize{\strut#&\vrule # \tabskip=0.6em plus8em& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#\tabskip=0pt\cr\tablerule +&& $E$ && $A$ && $B$ && $C$ && $D$ && $S$ && Choix &\cr\tablerule +&& $0$ && \iy && \iy && \iy && \iy && \iy && $E$ &\cr\tablerule +&& \ry && $3(E)$ && $1(E)$ && \iy && \iy && \iy && $B$ &\cr\tablerule +&& \ry && $2(B)$ && \ry && $4(B)$ && $6(B)$ && \iy && $A$ &\cr\tablerule +&& \ry && \ry && \ry && $4(B)$ && $6(B)$ && \iy && $C$ &\cr\tablerule +&& \ry && \ry && \ry && \ry && $5(C)$ && $7(C)$ && $D$ &\cr\tablerule +&& \ry && \ry && \ry && \ry && \ry && $6(D)$ && $S$ &\cr\tablerule}} +%<–––––––––––––––––——————————————————————————————————————————————————————————> + +\medskip + +Le plus court chemin est donc $EBCDS$ + +\vfill\newpage +\subsection{Dijkstra exemple 2} + +\medskip +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Dijkstra] + \SetGraphUnit{4} + \Vertices{square}{G,D,A,F} + \WE(F){H} + \EA(A){B} + \EA(D){C} + \NO(A){E} + \Edge[label=$1$](H)(F) + \Edge[label=$4$](G)(F) + \Edge[label=$2$](H)(G) + \Edge[label=$2$](G)(D) + \Edge[label=$3$](D)(C) + \Edge[label=$4$](F)(E) + \Edge[label=$3$](A)(D) + \Edge[label=$2$](A)(E) + \Edge[label=$1$](A)(B) + \Edge[label=$2$](A)(C) + \Edge[label=$2$](C)(B) + \Edge[label=$3$](E)(B) +\end{tikzpicture} +\end{tkzexample} +\end{center} +%<–––––––––––––––––——————————————————————————————————————————————————————————> +\vbox{\tabskip=0pt \offinterlineskip +\def\tablerule{\noalign{\hskip\tabskip\hrule}} +\halign to \hsize{\strut#&\vrule # \tabskip=0.6em plus8em& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#\tabskip=0pt\cr\tablerule +&& $H$ && $F$ && $G$ && $E$ && $D$ && $A$ && $C$ && $B$ && Choix &\cr\tablerule +&& $0$ && \iy && \iy && \iy && \iy && \iy && \iy && \iy && $H$ &\cr\tablerule +&& \ry && $1(H)$ && $2(H)$ && \iy && \iy && \iy && \iy && \iy && $F$ &\cr\tablerule +&& \ry && \ry && $2(H)$ && $5(F)$ && \iy && \iy && \iy && \iy && $G$ &\cr\tablerule +&& \ry && \ry && \ry && $5(F)$ && $4(G)$ && \iy && \iy && \iy && $D$ &\cr\tablerule +&& \ry && \ry && \ry && $5(F)$ && \ry && $7(D)$ && $7(D)$ && \iy && $E$ &\cr\tablerule +&& \ry && \ry && \ry && \ry && \ry && $7(D)$ && $7(D)$ && $8(E)$ && $A$ &\cr\tablerule +&& \ry && \ry && \ry && \ry && \ry && \ry && $7(D)$ && $8(E)$ && $C$ &\cr\tablerule +&& \ry && \ry && \ry && \ry && \ry && \ry && \ry && $8(E)$ && $B$ &\cr\tablerule}} +%<–––––––––––––––––——————————————————————————————————————————————————————————> + +Le plus court chemin est donc $HFEB$ + +\begin{tkzexample}[code only] +\def\ry{$\vrule width 5pt$} +\def\iy{$\infty$} +\vbox{\tabskip=0pt \offinterlineskip +\def\tablerule{\noalign{\hskip\tabskip\hrule}} +\halign to \hsize{\strut#&\vrule # \tabskip=0.6em plus8em& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#& +\hfil#\hfil& \vrule#\tabskip=0pt\cr\tablerule +&& $H$ && $F$ && $G$ && $E$ && $D$ && $A$ && $C$ && $B$% +&& Choix &\cr\tablerule +&& $0$ && \iy && \iy && \iy && \iy && \iy && \iy && \iy% +&& $H$ &\cr\tablerule +&& \ry && $1(H)$ && $2(H)$ && \iy && \iy && \iy && \iy && \iy% +&& $F$ &\cr\tablerule +&& \ry && \ry && $2(H)$ && $5(F)$ && \iy && \iy && \iy && \iy% +&& $G$ &\cr\tablerule +&& \ry && \ry && \ry && $5(F)$ && $4(G)$ && \iy && \iy && \iy% +&& $D$ &\cr\tablerule +&& \ry && \ry && \ry && $5(F)$ && \ry && $7(D)$ && $7(D)$ && \iy% +&& $E$ &\cr\tablerule +&& \ry && \ry && \ry && \ry && \ry && $7(D)$ && $7(D)$ && $8(E)$% +&& $A$ &\cr\tablerule +&& \ry && \ry && \ry && \ry && \ry && \ry && $7(D)$ && $8(E)$% +&& $C$ &\cr\tablerule +&& \ry && \ry && \ry && \ry && \ry && \ry && \ry && $8(E)$% +&& $B$ &\cr\tablerule}} +\end{tkzexample} + + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-Welsh.tex b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-Welsh.tex new file mode 100644 index 0000000000..63b0c26c19 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-Welsh.tex @@ -0,0 +1,249 @@ +% $Id$ +%!TEX root = /Users/ego/Boulot/TKZ/Graph/doc-fr/TKZdoc-gr-main.tex +\section{Colorisation Welsh} +%<–––––––––––––––––––––––––– graphs with colors ––––––––––––––––––––––––––—––> +Ce chapitre montre comment colorer des sommets. Le plus simple est d'utiliser le style \tkzname{Welsh} et la macro \tkzcname{AddVertexColor} afin de colorer les sommets. + +\subsection{La macro \tkzcname{AddVertexColor} } + +\begin{NewMacroBox}{AddVertexColor}{\var{color}\var{List of vertices}} + +\medskip +\emph{Cette macro permet de colorer des sommets. Le premier argument est la couleur, le second une liste de sommets.} +\end{NewMacroBox} + + +\subsection{Exemple d'utilisation } + +\medskip +Une compagnie aérienne propose des vols directs entre certaines villes, notées A, B, C, D, E, F et G. Cela conduit au graphe $\mathcal{G}$ suivant, dont les sommets sont les villes et les arêtes représentent les liaisons aériennes : + + \begin{center} +\begin{tikzpicture} +\renewcommand*{\VertexLineWidth}{2pt} + \GraphInit[vstyle=Welsh] + \Vertices[unit=3]{circle}{A,B,C,D,E,F,G} + \Edges(G,E,F,G,B,D,E,C,D,A,C,B,A) \Edges(B,E) +\end{tikzpicture} +\end{center} + +\begin{enumerate} + +\item Sur les cartes d'embarquement, la compagnie attribue à chaque aéroport une couleur, de sorte que deux aéroports liés par un vol direct aient des couleurs différentes. + + Proposer un coloriage adapté‚ cette condition. +\item Que peut-on en déduire sur le nombre chromatique de $\mathcal{G}$ ? +\end{enumerate} + + + +\begin{center} +\begin{tkzltxexample}[] +\begin{tikzpicture} +\renewcommand*{\VertexLineWidth}{2pt} + \GraphInit[vstyle=Welsh] + \Vertices[unit=3]{circle}{A,B,C,D,E,F,G} + \Edges(G,E,F,G,B,D,E,C,D,A,C,B,A) \Edges(B,E) +\end{tikzpicture} +\end{tkzltxexample} +\end{center} + +\bigskip +\begin{minipage}{7cm} + \begin{tikzpicture} +\renewcommand*{\VertexLineWidth}{2pt} + \GraphInit[vstyle=Welsh] + \Vertices[unit=3]{circle}{A,B,C,D,E,F,G} + \Edges(G,E,F,G,B,D,E,C,D,A,C,B,A) \Edges(B,E) + \end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} + \begin{tabular}{cc} + \hline + \itshape Sommet & \itshape Degré \\ + \hline + B & $5$ \\ + E & $5$ \\ + C & $4$ \\ + D & $4$ \\ + A & $3$ \\ + G & $3$ \\ + F & $2$ \\ + \hline + \end{tabular} +\end{minipage} + +\begin{tkzltxexample}[] + \begin{tikzpicture} +\renewcommand*{\VertexLineWidth}{2pt} + \GraphInit[vstyle=Welsh] + \Vertices[unit=3]{circle}{A,B,C,D,E,F,G} + \Edges(G,E,F,G,B,D,E,C,D,A,C,B,A) \Edges(B,E) +\end{tikzpicture} +\end{tkzltxexample} + +\bigskip +\begin{minipage}{7cm} + \begin{tikzpicture} + \renewcommand*{\VertexLineWidth}{2pt} + \GraphInit[vstyle=Welsh] + \Vertices[unit=3]{circle}{A,B,C,D,E,F,G} + \SetVertexNoLabel + \AddVertexColor{red}{B,F} + \Edges(G,E,F,G,B,D,E,C,D,A,C,B,A) \Edges(B,E) +\end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tabular}{ccc} +\hline +\itshape Sommet & \itshape Degré & \itshape Couleur\\ +\hline +B & $5$ & rouge\\ +E & $5$ & \\ +C & $4$ & \\ +D & $4$ & \\ +A & $3$ & \\ +G & $3$ & \\ +F & $2$ & rouge\\ +\hline +\end{tabular} +\end{minipage} + +\begin{tkzltxexample}[] +\begin{tikzpicture} + \renewcommand*{\VertexLineWidth}{2pt} + \GraphInit[vstyle=Welsh] + \Vertices[unit=3]{circle}{A,B,C,D,E,F,G} + \SetVertexNoLabel + \AddVertexColor{red}{B,F} + \Edges(G,E,F,G,B,D,E,C,D,A,C,B,A) \Edges(B,E) +\end{tikzpicture} +\end{tkzltxexample} + +\bigskip +\begin{minipage}{7cm} + \begin{tikzpicture} + \renewcommand*{\VertexLineWidth}{2pt} + \GraphInit[vstyle=Welsh] + \Vertices[unit=3]{circle}{A,B,C,D,E,F,G} + \SetVertexNoLabel + \AddVertexColor{red}{B,F} \AddVertexColor{blue}{E,A} + \Edges(G,E,F,G,B,D,E,C,D,A,C,B,A) \Edges(B,E) +\end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tabular}{ccc} +\hline +\itshape Sommet & \itshape Degré & \itshape Couleur\\ +\hline +B & $5$ & rouge\\ +E & $5$ & bleu\\ +C & $4$ & \\ +D & $4$ & \\ +A & $3$ & bleu\\ +G & $3$ & \\ +F & $2$ & rouge\\ +\hline +\end{tabular} +\end{minipage} + +\begin{tkzltxexample}[] +\begin{tikzpicture} + \renewcommand*{\VertexLineWidth}{2pt} + \GraphInit[vstyle=Welsh] + \Vertices[unit=3]{circle}{A,B,C,D,E,F,G} + \SetVertexNoLabel + \AddVertexColor{red}{B,F} + \AddVertexColor{blue}{E,A} + \Edges(G,E,F,G,B,D,E,C,D,A,C,B,A) + \Edges(B,E) +\end{tikzpicture} +\end{tkzltxexample} + +\bigskip +\begin{minipage}{7cm} +\begin{tikzpicture} + \renewcommand*{\VertexLineWidth}{2pt} + \GraphInit[vstyle=Welsh] + \Vertices[unit=3]{circle}{A,B,C,D,E,F,G} + \SetVertexNoLabel + \AddVertexColor{red}{B,F} \AddVertexColor{blue}{E,A} + \AddVertexColor{green}{C,G} + \Edges(G,E,F,G,B,D,E,C,D,A,C,B,A) \Edges(B,E) +\end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tabular}{ccc} +\hline +\itshape Sommet & \itshape Degré & \itshape Couleur\\ +\hline +B & $5$ & rouge\\ +E & $5$ & bleu\\ +C & $4$ & vert\\ +D & $4$ & \\ +A & $3$ & bleu\\ +G & $3$ & vert\\ +F & $2$ & rouge\\ +\hline +\end{tabular} +\end{minipage} + +\begin{tkzltxexample}[] +\begin{tikzpicture} + \renewcommand*{\VertexLineWidth}{2pt} + \GraphInit[vstyle=Welsh] + \Vertices[unit=3]{circle}{A,B,C,D,E,F,G} + \SetVertexNoLabel + \AddVertexColor{red}{B,F} \AddVertexColor{blue}{E,A} + \AddVertexColor{green}{C,G} + \Vertex[Node]{D}} + \Edges(G,E,F,G,B,D,E,C,D,A,C,B,A) \Edges(B,E) +\end{tikzpicture} +\end{tkzltxexample} + +\bigskip +\begin{minipage}{7cm} +\begin{tikzpicture} + \renewcommand*{\VertexLineWidth}{2pt} + \GraphInit[vstyle=Welsh] + \Vertices[unit=3]{circle}{A,B,C,D,E,F,G} + \SetVertexNoLabel + \AddVertexColor{red}{B,F} \AddVertexColor{blue}{E,A} + \AddVertexColor{green}{C,G} \AddVertexColor{yellow}{D} + \Edges(G,E,F,G,B,D,E,C,D,A,C,B,A) \Edges(B,E) +\end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tabular}{ccc} +\hline +\itshape Sommet & \itshape Degré & \itshape Couleur\\ +\hline +B & $5$ & rouge\\ +E & $5$ & bleu\\ +C & $4$ & vert\\ +D & $4$ & jaune\\ +A & $3$ & bleu\\ +G & $3$ & vert\\ +F & $2$ & rouge\\ +\hline +\end{tabular} +\end{minipage} + +\begin{tkzltxexample}[] + \begin{tikzpicture} + \renewcommand*{\VertexLineWidth}{2pt} + \GraphInit[vstyle=Welsh] + \Vertices[unit=3]{circle}{A,B,C,D,E,F,G} + \SetVertexNoLabel + \AddVertexColor{red}{B,F} \AddVertexColor{blue}{E,A} + \AddVertexColor{green}{C,G}\AddVertexColor{yellow}{D} + \Vertex[Node]{D}} + \Edges(G,E,F,G,B,D,E,C,D,A,C,B,A)\Edges(B,E) +\end{tikzpicture} +\end{tkzltxexample} +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-annales.tex b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-annales.tex new file mode 100644 index 0000000000..edc4f75148 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-annales.tex @@ -0,0 +1,1164 @@ +\section{Annales.} %<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% Amérique du nord juin 2003 +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\subsection{Amérique du nord juin 2003} + +Soit le graphe G joint en annexe constitué des sommets A, B, C, D, E, F et G. + +\begin{enumerate} +\item Quel est son ordre et le degré de chacun de ses sommets ? +\item Reproduire sur la copie et compléter le tableau des distances entre deux sommets de G : + +\medskip +\begin{center} +\begin{tabular}{|l|c|c|c|c|c|c|c|}\hline +Distance & A & B & C & D & E & F & G \\ \hline +A & X & & & & & & \\ \hline +B & X & X & & & & & \\ \hline +C & X & X & X & & & & \\ \hline +D & X & X & X & X & & & \\ \hline +E & X & X & X & X & X & & \\ \hline +F & X & X & X & X & X & X & \\ \hline +G & X & X & X & X & X & X & X \\ \hline +\end{tabular} +\end{center} + +\medskip +En déduire le diamètre de ce graphe. +\item + \begin{enumerate} + \item Donner un sous-graphe complet d'ordre 3 de G. + +Qu'en déduire pour le nombre chromatique de G ? + \item Proposer une coloration du graphe G et en déduire son nombre chromatique. + \end{enumerate} +\item Donner la matrice M associée à G (vous numéroterez les lignes et les colonnes dans l'ordre alphabétique). +\item En utilisant la matrice $ M_2$ donnée en annexe 1, déduire le nombre de chaînes de longueur 2 partant de A sans y revenir. +\end{enumerate} + +\medskip +\begin{minipage}[]{10cm} +\begin{tikzpicture} + \Vertex[x=1.3,y=3.8]{A} + \Vertex[x=4.2,y=5.5]{B} + \Vertex[x=7.3,y=4]{C} + \Vertex[x=8.5,y=1.5]{D} + \Vertex[x=5,y=0]{E} + \Vertex[x=3.6,y=4]{F} + \Vertex[x=0.7,y=1]{G} + \Edges(A,B,C,D,E,G,A,F,E,C) + \Edge(B)(F) +\end{tikzpicture} +\end{minipage} +\begin{minipage}[]{5cm} +M$^2 = +\begin{pmatrix} + 3 & 1 & 1 & 0 & 2 & 1 & 0\\ + 1 & 3 & 0 & 1 & 2 & 1 & 1\\ + 1 & 0 & 3 & 1 & 1 & 2 & 1\\ + 0 & 1 & 1 & 2 & 1 & 1 & 1\\ + 2 & 2 & 1 & 1 & 4 & 0 & 0\\ + 1 & 1 & 2 & 1 & 0 & 3 & 2\\ + 0 & 1 & 1 & 1 & 0 & 2 & 2\\ +\end{pmatrix}$ +\end{minipage} + +\medskip +\begin{tkzexample}[code only] +\begin{tikzpicture} + \Vertex[x=1.3,y=3.8]{A} \Vertex[x=4.2,y=5.5]{B} + \Vertex[x=7.3,y=4]{C} \Vertex[x=8.5,y=1.5]{D} + \Vertex[x=5,y=0]{E} \Vertex[x=3.6,y=4]{F} + \Vertex[x=0.7,y=1]{G} + \Edges(A,B,C,D,E,G,A,F,E,C) \Edge(B)(F) +\end{tikzpicture} +\end{tkzexample} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\vfill\newpage +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% Antilles-Guyane juin 2003 +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\subsection{Antilles-Guyane juin 2003 }\label{ag03} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{enumerate} +\item Un musée est constitué de 9 salles notées A, B, C, D, E, F, G, H et S. + +Le plan du musée est représenté ci-dessous : + +\medskip +\begin{center} +\begin{tikzpicture} +\draw (0,0) rectangle (8,6); +\draw(2,0)--(2,0.7); +\draw(2,1.3)--(2,2.7); +\draw(2,3.3)--(2,4.7); +\draw(2,5.3)--(2,6); +\draw(4,0)--(4,0.7); +\draw(4,1.3)--(4,2.7); +\draw(4,3.3)--(4,4.7); +\draw(4,5.3)--(4,6); +\draw(6,0)--(6,0.7); +\draw(6,1.3)--(6,2.7); +\draw(6,3.3)--(6,4.7); +\draw(6,5.3)--(6,6); +\draw(2,5.3)--(2,6); +\draw(4,5.3)--(4,6); +\draw(6,5.3)--(6,6); +\draw(2,2)--(2.7,2); +\draw(3.3,2)--(4.7,2); +\draw(5.3,2)--(6,2); +\draw(2,4)--(2.7,4); +\draw(3.3,4)--(4.7,4); +\draw(5.3,4)--(8,4); +\node at (1,3){S}; +\node at (3,3){G}; +\node at (3,1){D}; +\node at (3,5){A}; +\node at (5,1){H}; +\node at (5,3){E}; +\node at (5,5){B}; +\node at (7,2){F}; +\node at (7,5){C}; +\end{tikzpicture} +\end{center} + +\medskip +Ainsi, un visiteur qui se trouve dans la salle S peut atteindre directement les salles A, B ou G. S'il se trouve dans la salle C, il peut se rendre directement dans la salle B, mais pas dans la salle F. + +On s'intéresse au parcours d'un visiteur dans ce musée. On ne se préoccupe pas de la manière dont le visiteur accède au musée ni comment il en sort. Cette situation peut être modélisée par un graphe, les sommets étant les noms des salles, les arêtes représentant les portes de communication. + + \begin{enumerate} + \item Dessiner un graphe modélisant la situation décrite. + \item Est-il possible de visiter le musée, en empruntant chaque porte une fois et une seule ? + +Justifier en utilisant un théorème du cours sur les graphes. +\item Pour rompre une éventuelle monotonie, le conservateur du musée souhaite différencier chaque salle de sa ou des salles voisines (c'est-à-dire accessibles par une porte) par la moquette posée au sol. Quel est le nombre minimum de types de moquettes nécessaires pour répondre à ce souhait ? Justifier. + \end{enumerate} +\item On note $M$ la matrice à 9 lignes et 9 colonnes associée au graphe précédent, en convenant de l'ordre suivant des salles S, A, B, C, D, E, F, G, H. Le graphe n'étant pas orienté, comment cela se traduit-il sur la matrice ? +\item On donne la matrice : + +\[M^4 = +\begin{pmatrix} +18 & 12 & 11 & 02 & 20 & 12 & 06 & 12 & 12\\ +12 & 20 & 03 & 06 & 11 & 20 & 05 & 18 & 05\\ +11 & 03 & 16 & 00 & 19 & 03 & 08 & 04 & 12\\ +02 & 06 & 00 & 03 & 01 & 07 & 01 & 04 & 01\\ +20 & 11 & 19 & 01 & 31 & 09 & 11 & 12 & 19\\ +12 & 20 & 03 & 07 & 09 & 28 & 09 & 20 & 09\\ +06 & 05 & 08 & 01 & 11 & 09 & 09 & 08 & 09\\ +12 & 18 & 04 & 04 & 12 & 20 & 08 & 20 & 06\\ +12 & 05 & 12 & 01 & 19 & 09 & 09 & 06 & 17\\ +\end{pmatrix}\] + + \begin{enumerate} + \item Combien y-a-t-il de chemins qui en 4 étapes, partent de D et reviennent à D ? + \item Combien y-a-t-il de chemins qui en 4 étapes, partent de S et reviennent à C ? Les citer. + \item Est-il toujours possible de joindre en 4 étapes deux salles quelconques ? Justifier. + \end{enumerate} +\end{enumerate} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\vfill\newpage +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +Code du graphe précédent, uniquement fait avec tikz sans tkz-berge + +\bigskip +\begin{tkzexample}[code only] +\begin{tikzpicture} + \draw (0,0) rectangle (8,6); + \draw(2,0)--(2,0.7); + \draw(2,1.3)--(2,2.7); + \draw(2,3.3)--(2,4.7); + \draw(2,5.3)--(2,6); + \draw(4,0)--(4,0.7); + \draw(4,1.3)--(4,2.7); + \draw(4,3.3)--(4,4.7); + \draw(4,5.3)--(4,6); + \draw(6,0)--(6,0.7); + \draw(6,1.3)--(6,2.7); + \draw(6,3.3)--(6,4.7); + \draw(6,5.3)--(6,6); + \draw(2,5.3)--(2,6); + \draw(4,5.3)--(4,6); + \draw(6,5.3)--(6,6); + \draw(2,2)--(2.7,2); + \draw(3.3,2)--(4.7,2); + \draw(5.3,2)--(6,2); + \draw(2,4)--(2.7,4); + \draw(3.3,4)--(4.7,4); + \draw(5.3,4)--(8,4); + \node at (1,3){S}; + \node at (3,3){G}; + \node at (3,1){D}; + \node at (3,5){H}; + \node at (5,1){H}; + \node at (5,3){E}; + \node at (5,5){B}; + \node at (7,2){F}; + \node at (7,5){C}; +\end{tikzpicture} +\end{tkzexample} + + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\vfill\newpage +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% Asie juin 2003 +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\subsection{Asie juin 2003 }\label{asj03} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + + +\bigskip +\begin{minipage}[l]{0,58\textwidth} +Dans la ville de GRAPHE, on s'intéresse aux principales rues permettant de relier différents lieux ouverts au public, à savoir la mairie (M), le centre commercial (C), la bibliothèque (B), la piscine (P) et le lycée (L). Chacun de ces lieux est désigné par son initiale. Le tableau ci-contre donne les rues existant entre ces lieux. +\end{minipage}\hfill +\begin{minipage}[]{0,38\textwidth} +\begin{center} + \begin{tabular}{|*{5}{c|} c|} \cline{2-6} + \multicolumn{1}{c|}{} + & B & C & L & M & P \\ \hline + B & & X & & X & X \\ \hline + C & X & & X & X & \\ \hline + L & & X & & X & \\ \hline + M & X & X & X & & X \\ \hline + P & X & & & X & \\ \hline + \end{tabular} +\end{center} +\end{minipage} + +\medskip +\begin{enumerate} +\item Dessiner un graphe représentant cette situation. +\item Montrer qu'il est possible de trouver un trajet empruntant une fois et une seule toutes les rues de ce plan. Justifier. Proposer un tel trajet. + +Est-il possible d'avoir un trajet partant et arrivant du même lieu et passant une fois et une seule par toutes les rues ? + + +\begin{minipage}[b]{0,3\textwidth} +\item + Dimitri habite dans cette ville ; le graphe ci-contre donne le \textbf{nouveau} plan du quartier avec les sens de circulation dans les différentes rues et le temps de parcours entre les différents lieux. +\end{minipage} +\hspace{1cm} + \begin{minipage}[c]{0,68\textwidth} + \begin{tikzpicture}[>=latex] + \SetGraphUnit{4} + \tikzset{VertexStyle/.style = {shape = circle, + draw = black, + inner sep = 2pt,% + minimum size = 6mm, + outer sep = 0pt, + fill = gray!60}} + \Vertex {P} + \NOEA(P){B} + \SOEA(P){M} + \NOEA(B){D} + \SOEA(B){C} + \SOEA(C){L} + \tikzset{LabelStyle/.style = {fill=white}} + \tikzset{EdgeStyle/.style = {<->}} + \Edge[label=$4$](P)(M) + \Edge[label=$9$](C)(M) + \Edge[label=$4$](C)(L) + \Edge[label=$5$](C)(D) + \Edge[label=$10$](B)(M) + \tikzset{EdgeStyle/.style = {<->,bend right}} + \Edge[label=$11$](L)(D) + \tikzset{EdgeStyle/.style = {->}} + \Edge[label=$3$](C)(B) + \Edge[label=$10$](D)(B) + \Edge[label=$10$](L)(M) + \Edge[label=$10$](B)(P) + \end{tikzpicture} + \end{minipage} +\end{enumerate} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\vfill\newpage +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +Code du graphe précédent + +\bigskip +\begin{tkzexample}[code only] +\begin{minipage}[c]{0,68\textwidth} +\begin{tikzpicture}[>=latex] + \SetGraphUnit{4} + \tikzset{VertexStyle/.style = {shape = circle, + draw = black, + inner sep = 2pt,% + minimum size = 6mm, + outer sep = 0pt, + fill = gray!60}} + \Vertex {P} + \NOEA(P){B} + \SOEA(P){M} + \NOEA(B){D} + \SOEA(B){C} + \SOEA(C){L} + \tikzset{LabelStyle/.style = {fill=white}} + \tikzset{EdgeStyle/.style = {<->}} + \Edge[label=$4$](P)(M) + \Edge[label=$9$](C)(M) + \Edge[label=$4$](C)(L) + \Edge[label=$5$](C)(D) + \Edge[label=$10$](B)(M) + \tikzset{EdgeStyle/.style = {<->,bend right}} + \Edge[label=$11$](L)(D) + \tikzset{EdgeStyle/.style = {->}} + \Edge[label=$3$](C)(B) + \Edge[label=$10$](D)(B) + \Edge[label=$10$](L)(M) + \Edge[label=$10$](B)(P) +\end{tikzpicture} +\end{minipage} +\end{tkzexample} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\vfill\newpage +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% France juin 2003 +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\subsection{France juin 2003 }\label{frj03} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +Un concert de solidarité est organisé dans une grande salle de spectacle. À ce concert sont conviés sept artistes de renommée internationale Luther Allunison (A), John Biaise (B), Phil Colline (C), Bob Ditlâne (D), Jimi Endisque (E), Robert Fripe (F) et Rory Garaguerre (G). + +Les différents musiciens invités refusant de jouer avec certains autres, l'organisateur du concert doit prévoir plusieurs parties de spectacle. Les arêtes du graphe $\Gamma$ ci-dessous indiquent quels sont les musiciens qui refusent de jouer entre eux. + +\medskip +\begin{center} +\begin{tikzpicture} + \SetGraphUnit{4} + \GraphInit[vstyle=Normal] + \tikzset{EdgeStyle/.style = {line width = 2pt}} + \tikzset{VertexStyle/.append style = {line width = 2pt}} + \Vertex{D} + \SOEA(D){E} + \EA(E){F} + \NOEA(F){G} + \NOWE(G){A} + \NOWE(A){B} + \SOWE(B){C} + \Edges(F,G,A,D,F,B,E,G,C,F,A,E,C,B) +\end{tikzpicture} +\end{center} + +\medskip +\begin{enumerate} +\item Déterminer la matrice associée au graphe $\Gamma$ (les sommets de $\Gamma$ étant classés dans l'ordre alphabétique). +\item Quelle est la nature du sous-graphe de $\Gamma '$ constitué des sommets A, E, F et G ? + +Que peut-on en déduire pour le nombre chromatique $\chi(\Gamma)$ du graphe $\Gamma$ ? +\item Quel est le sommet de plus haut degré de $\Gamma$ ? + +En déduire un encadrement de $\chi(\Gamma)$. +\item Après avoir classé l'ensemble des sommets de $\Gamma$ par ordre de degré décroissant, colorier le graphe $\Gamma$ figurant en annexe. +\item Combien de parties l'organisateur du concert doit-il prévoir ? + +Proposer une répartition des musiciens pour chacune de ces parties. +\end{enumerate} + +\medskip + +\begin{tkzexample}[code only] +\begin{tikzpicture} + \SetGraphUnit{4} + \GraphInit[vstyle=Normal] + \tikzset{EdgeStyle/.style = {line width = 2pt}} + \tikzset{VertexStyle/.append style = {line width = 2pt}} + \Vertex{D} + \SOEA(D){E}\EA(E){F} + \NOEA(F){G}\NOWE(G){A} + \NOWE(A){B}\SOWE(B){C} + \Edges(F,G,A,D,F,B,E,G,C,F,A,E,C,B) +\end{tikzpicture} +\end{tkzexample} + + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\vfill\newpage +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% CE juin 2003 +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\subsection{Centres Étrangers juin 2003 }\label{cej03} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\bigskip +Un livreur d'une société de vente à domicile doit, dans son après-midi, charger son camion à l'entrepôt noté A, livrer cinq clients que nous noterons B, C, D, E et F, puis retourner à l'entrepôt. Le réseau routier, tenant compte des sens de circulation, et les temps de parcours (en minutes) sont indiqués sur le graphe G suivant : + +\medskip +\begin{center} + \begin{tikzpicture}[>=latex] + \SetGraphUnit{4} + \Vertex {F} + \NOWE(F){A} + \NOEA(F){B} + \SOEA(F){C} + \SOWE(F){D} + \SOWE(A){E} + \tikzstyle{EdgeStyle}=[->] + \tikzstyle{LabelStyle}=[fill=white] + \Edge[label=$4$](A)(E) + \Edge[label=$4$](E)(D) + \Edge[label=$9$](D)(A) + \Edge[label=$2$](B)(A) + \Edge[label=$11$](C)(B) + \Edge[label=$3$](D)(F) + \Edge[label=$6$](F)(A) + \tikzstyle{EdgeStyle}=[->,bend left=15] + \Edge[label=$2$](D)(C) + \Edge[label=$2$](C)(D) + \Edge[label=$3$](F)(B) + \Edge[label=$3$](B)(F) + \Edge[label=$6$](F)(C) + \Edge[label=$6$](C)(F) + \end{tikzpicture} +\end{center} + +\begin{enumerate} +\item Donner la matrice M associée au graphe G. + +On utilisera le modèle suivant : + +\begin{center} + \begin{tabular}{|*{7}{c|}}\cline{2-7} + \multicolumn{1}{c|}{}% + & A & B & C & D & E & F \\ \hline + A & & & & & & \\ \hline + B & & & & & & \\ \hline + C & & & & & & \\ \hline + D & & & & & & \\ \hline + E & & & & & & \\ \hline + F & & & & & & \\ \hline + \end{tabular} +\end{center} + +\item On donne la matrice M$^6$ : + +\[\text{M}^6 = +\begin{pmatrix} + 8 & 6 & 6 & 3 & 4 & 6 \\ + 19 & 11 & 12 & 9 & 6 & 16\\ + 36 & 28 & 23 & 22 & 18 & 34\\ + 37 & 24 & 25 & 17 & 15 & 31\\ + 15 & 12 & 9 & 10 & 8 & 15\\ + 28 & 22 & 19 & 15 & 15 & 26\\ +\end{pmatrix}\] + +On s'intéresse aux chemins partant de l'entrepôt A et se terminant en A. + + \begin{enumerate} + \item Combien existe-t-il de chemins de longueur 6 reliant A à A ? + \item Citer ces chemins. + \item Parmi ceux qui passent par tous les sommets du graphe, lequel minimise le temps de parcours ? + \item Quelle conséquence peut tirer le livreur du dernier résultat ? + \end{enumerate} +\item Au départ de sa tournée, le livreur a choisi de suivre l'itinéraire le plus rapide. Malheureusement, le client C n'est pas présent au passage du livreur et celui-ci décide de terminer sa livraison par ce client. Indiquer quel est le chemin le plus rapide pour revenir à l'entrepôt A à partir de C. La réponse devra être justifiée. +\end{enumerate} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\vfill\newpage +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +Code du graphe précédent + +\bigskip +\begin{tkzexample}[code only] +\begin{tikzpicture}[>=latex] + \SetGraphUnit{3} + \Vertex {F} + \NOWE(F){A} + \NOEA(F){B} + \SOEA(F){C} + \SOWE(F){D} + \SOWE(A){E} + \tikzstyle{EdgeStyle}=[->] + \tikzstyle{LabelStyle}=[fill=white] + \Edge[label=$4$](A)(E) + \Edge[label=$4$](E)(D) + \Edge[label=$9$](D)(A) + \Edge[label=$2$](B)(A) + \Edge[label=$11$](C)(B) + \Edge[label=$3$](D)(F) + \Edge[label=$6$](F)(A) + \tikzstyle{EdgeStyle}=[->,bend left=15] + \Edge[label=$2$](D)(C) + \Edge[label=$2$](C)(D) + \Edge[label=$3$](F)(B) + \Edge[label=$3$](B)(F) + \Edge[label=$6$](F)(C) + \Edge[label=$6$](C)(F) +\end{tikzpicture} +\end{tkzexample} +\vfill\newpage +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% Amérique du Nord mai 2004 +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\subsection{Amérique du Nord juin 2004 }\label{anm04} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + + +\textbf{Les parties A et B sont indépendantes.} + +\textbf{Partie A} + +On considère le graphe G$_{1}$ ci-dessous : + +\bigskip + +\begin{center} +\begin{tikzpicture}[>=latex] + \SetGraphUnit{6} + \Vertex{F}% + \NOEA(F){B} + \SOEA(F){E} + \EA(B){C} + \EA(E){D} + \NO(D){A} + \Edges(B,F,E,D,A,E,B,A,F,B,C,F,D) +\end{tikzpicture} +\end{center} + +\medskip + +\begin{enumerate} +\item Justifier les affirmations suivantes : + +A$_{1}$ : \og le graphe G$_1$ admet au moins une chaîne eulérienne \fg. + +A$_{2}$ ; \og La chaîne DABCFBEFAE n'est pas une chaîne eulérienne de G$_1$ \fg. + +\item Déterminer un sous-graphe complet de G$_1$, ayant le plus grand ordre possible. En déduire un minorant du nombre chromatique $\gamma$ de ce graphe. + +\item Déterminer un majorant de ce nombre chromatique. (On justifiera la réponse). + +\item En proposant une coloration du graphe G$_1$, déterminer son nombre chromatique. + +\end{enumerate} + +\medskip + +\textbf{Partie B} + +Soit la matrice M d'un graphe orienté G$_2$ dont les sommets A, B, C, D et E sont pris dans l'ordre alphabétique. + +On donne \[ + M = +\begin{pmatrix} + 0 & 1 & 1 & 1 & 0\\ + 1 & 0 & 1 & 0 & 1\\ + 1 & 1 & 0 & 0 & 1\\ + 0 & 1 & 0 & 0 & 1\\ + 1 & 1 & 0 & 1 & 0\\ +\end{pmatrix} +\] +~et~ +\[ + \text{M}^3 = +\begin{pmatrix} + 6 & 6 & 4 & 5 & 3\\ + 5 & 6 & 5 & 3 & 6\\ + 5 & 7 & 4 & 3 & 6\\ + 3 & 5 & 3 & 3 & 3\\ + 6 & 6 & 3 & 3 & 5\\ +\end{pmatrix}. +\] +\begin{enumerate} +\item Construire le graphe G$_2$. +\item Déterminer le nombre de chaînes de longueur 3 reliant B à D. Les citer toutes. +\end{enumerate} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\vfill\newpage +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +Code du graphe précédent + +\bigskip +\begin{tkzexample}[code only] +\begin{tikzpicture}[>=latex] + \SetGraphUnit{6} + \Vertex{F} + \NOEA(F){B} + \SOEA(F){E} + \EA(B){C} + \EA(E){D} + \NO(D){A} + \Edges(B,F,E,D,A,E,B,A,F,B,C,F,D) +\end{tikzpicture} +\end{tkzexample} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\vfill\newpage +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% CE mai 2004 +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\subsection{Centres étrangers mai 2004 }\label{cem04} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\bigskip +Un jardinier possède un terrain bien ensoleillé avec une partie plus ombragée. + +Il décide d'y organiser des parcelles où il plantera 8 variétés de légumes : + +\medskip +\begin{center}\begin{minipage}[t]{0.48\textwidth} + \begin{itemize} + \item de l'ail (A), + \item des courges (Co), + \item des choux (Ch), + \item des poireaux (Px), + \item des pois (Po), + \item des pommes de terre (Pt), + \item des radis (R), + \item et des tomates (T). + \end{itemize} +\end{minipage}\end{center} + +\medskip +Il consulte un almanach où figurent des incompatibilités de plantes, données par les deux tableaux : + +\medskip + +\begin{minipage}[t]{0.46\textwidth} +\begin{tabular}{|l|l|}\hline + \multicolumn{2}{|p{7cm}|}{Expositions incompatibles de plantes}\\ +\hline + \multicolumn{1}{|p{3.5cm}|}{Plantes d'ombre partielle} + &\multicolumn{1}{|p{3.5cm}|}{Plantes de plein soleil}\\ +\hline + & \\ + & choux \\ + pois & tomates \\ + radis & courges \\ + & \\ + & \\ +\hline + \multicolumn{2}{|p{7cm}|}{Par exemple : les pois sont incompatibles avec les + choux, les tomates et les courges}\\ \hline +\end{tabular} +\end{minipage} +\hfill +\raisebox{6pt}{\begin{minipage}[t]{0.46\textwidth} +\begin{tabular}{|l|l|}\hline +\multicolumn{2}{|p{7cm}|}{Associations incompatibles de} \\ +\multicolumn{2}{|p{7cm}|}{plantes dans une même parcelle}\\ \hline + pois & ail, poireaux\\ \hline +pommes de & courges, radis et\\ +terre & tomates\\ \hline +& tomates, ail\\ +choux & poireaux et courges\\ \hline +courges & tomates\\ \hline +\multicolumn{2}{|p{7cm}|}{Par exemple : les pois sont incompatibles avec +l'ail et les poireaux}\\ \hline +\end{tabular} +\end{minipage}} + +\medskip + +Pour tenir compte de ces incompatibilités le jardinier décide de modéliser la situation sous la forme d'un graphe de huit sommets, chaque sommet représentant un légume. +\medskip +\begin{enumerate} +\item Sur la feuille annexe : compléter le graphe mettant en évidence les incompatibilités d'exposition ou les associations incompatibles indiquées dans les deux tableaux ci-dessus. + +\item Calculer la somme des degrés des sommets du graphe, en déduire le nombre de ses arêtes. + +\item Rechercher un sous-graphe complet d'ordre 4, qu'en déduit-on pour le nombre chromatique du graphe ? + +\item Donner le nombre chromatique du graphe et l'interpréter en nombre minimum de parcelles que le jardinier devra créer. + +\item Donner une répartition des plantes pur parcelle de façon à ce que chaque parcelle contienne exactement deux types de plantes et que le nombre de parcelles soit minimum. + +\item Donner une répartition des plantes de façon à ce qu'une parcelle contienne trois plantes et que le nombre de parcelles soit minimum. +\end{enumerate} + +\medskip +\begin{center} + \begin{tikzpicture} + \tikzstyle{VertexStyle}= [shape = circle, + fill = white,% + minimum size = 26pt,% + draw] + \Vertex[x=1,y=0.8]{R} + \Vertex[x=0.2,y=3.3]{Po} + \Vertex[x=0,y=2]{Pt} + \Vertex[x=0.9,y=5]{Px} + \Vertex[x=3.5,y=5]{A} + \Vertex[x=5.6,y=3.4]{T} + \Vertex[x=5.3,y=2]{Co} + \Vertex[x=3.3,y=0.2]{Ch} + \Edges(Po,Px,Po,A,Po,T,Po,Co,Po,Ch) + \end{tikzpicture} +\end{center} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\vfill\newpage +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +Code du graphe précédent + +\bigskip +\begin{tkzexample}[code only] +\begin{tikzpicture} + \tikzstyle{VertexStyle}= [shape = circle, + fill = white,% + minimum size = 26pt,% + draw] + \Vertex[x=1,y=0.8]{R} + \Vertex[x=0.2,y=3.3]{Po} + \Vertex[x=0,y=2]{Pt} + \Vertex[x=0.9,y=5]{Px} + \Vertex[x=3.5,y=5]{A} + \Vertex[x=5.6,y=3.4]{T} + \Vertex[x=5.3,y=2]{Co} + \Vertex[x=3.3,y=0.2]{Ch} + \Edges(Po,Px,Po,A,Po,T,Po,Co,Po,Ch) +\end{tikzpicture} +\end{tkzexample} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\vfill\newpage +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% France mai 2004 +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\subsection{France juin 2004} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +Le graphe ci-dessous indique, sans respecter d'échelle, les parcours possibles entre les sept bâtiments d'une entreprise importante. + +\medskip +\begin{tikzpicture} + \SetGraphUnit{5} + \Vertex{A} + \NOEA(F){B} + \SOEA(F){E} + \EA(B){C} + \EA(E){D} + \NO(D){A} + \Edges(F,E,F,D,F,C,F,A,F,B,A,E,E,D,D,A,B,A,C,B,E,B) +\end{tikzpicture} + +Un agent de sécurité effectue régulièrement des rondes de surveillance. Ses temps de parcours en minutes entre deux bâtiments sont les +suivants : + +\medskip +\begin{center} +\begin{minipage}{0.5\textwidth} + \begin{itemize} + \item AB : 16 minutes ; + \item AG : 12 minutes ; + \item BC : 8 minutes ; + \item BE : 12 minutes ; + \item BG : 8 minutes ; + \item CD : 7 minutes ; + \item CE : 4 minutes ; + \item CG : 10 minutes ; + \item DE : 2 minutes ; + \item EF : 8 minutes ; + \item EG : 15 minutes ; + \item FG : 8 minutes. + \end{itemize} +\end{minipage} +\end{center} + +\medskip +Sur chaque arête, les temps de parcours sont indépendants du sens de parcours. + +\begin{enumerate} +\item En justifiant la réponse, montrer qu'il est possible que l'agent de sécurité passe une fois et une seule par tous les chemins de cette usine. Donner un exemple de trajet. + +\item L'agent de sécurité peut-il revenir à son point de départ après avoir parcouru une fois et une seule tous les chemins ? Justifier la réponse. + +\item Tous les matins, l'agent de sécurité part du bâtiment A et se rend au bâtiment D. + +En utilisant un algorithme que l'on explicitera, déterminer le chemin qu'il doit suivre pour que son temps de parcours soit le plus court possible, et donner ce temps de parcours. +\end{enumerate} + +\medskip +\begin{tkzexample}[code only] +\begin{tikzpicture} + \SetGraphUnit{5} + \Vertex{A} \NOEA(F){B} \SOEA(F){E} + \EA(B){C} \EA(E){D} \NO(D){A} + \Edges(F,E,F,D,F,C,F,A,F,B,A,E,E,D,D,A,B,A,C,B,E,B) +\end{tikzpicture} +\end{tkzexample} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\vfill\newpage +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% La Reunion mai 2004 +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\subsection{La Réunion juin 2004 }\label{larj04} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + + +\textbf{Partie A} + +On note $G$ le graphe représenté ci-dessous et $M$ sa matrice obtenue en prenant les sommets dans l'ordre alphabétique. La matrice $M^3$ est également donnée. + +\medskip +\begin{center} +\begin{tikzpicture}[>=latex] + \SetGraphUnit{4.5} + \Vertex {e} + \NOEA(e){f} + \SOEA(e){d} + \SOEA(f){h} + \Vertex[position={above of=e,yshift=2cm}]{g} + \Vertex[position={left of=g,xshift=-1cm}]{c} + \Vertex[position={left of=d,xshift=-2cm}]{a} + \SOWE(c){b} + \Edges(a,c,g) \Edges(d,h,f,e,d,a,e,g,a,b,c,e) + \Edge[style={bend left}](g)(h) +\end{tikzpicture} +\end{center} + +\bigskip +\begin{center} + $M^3 = \begin{pmatrix} + 10 & 8 & 11 & 10 & 12 & 5 & 13 & 4\\ + 8 & 2 & 7 & 3 & 5 & 2 & 4 & 3\\ + 11 & 7 & 8 & 6 & 12 & 3 & 10 & 5\\ + 10 & 3 & 6 & 2 & 11 & 1 & 4 & 8\\ + 12 & 5 & 12 & 11 & 8 & 8 & 13 & 3\\ + 5 & 2 & 3 & 1 & 8 & 0 & 2 & 6\\ + 13 & 4 & 10 & 4 & 13 & 2 & 6 & 9\\ + 4 & 3 & 5 & 8 & 3 & 6 & 9 & 0\\ +\end{pmatrix}$ +\end{center} + + +\bigskip +Dire, en justifiant votre réponse, si les affirmations suivantes sont vraies ou + fausses : + +\begin{enumerate} +\item L'ordre du graphe est égal au plus grand des degrés des sommets. +\item Le graphe $G$ contient un sous-graphe complet d'ordre $3$. +\item Les sommets de $G$ peuvent être coloriés avec trois couleurs sans que deux sommets adjacents soient de même couleur. +\item Il est possible de parcourir ce graphe en passant une fois et une seule par chaque arête. +\item Il existe au moins un chemin de longueur $3$ qui relie chaque sommet à chacun des sept autres sommets du graphe. +\item il y a $72$ chemins de longueur $3$ qui relient le sommet $e$ à chacun des huit sommets du graphe. +\end{enumerate} + +\newpage + +\textbf{ Partie B} + +Le graphe suivant représente un réseau de lignes d'autobus. Les sommets du graphe désignent les arrêts. Les poids des arêtes sont les durées de parcours, en minutes, entre deux arrêts (correspondances comprises). + +\medskip +\begin{center} +\begin{tikzpicture}[>=latex] + \SetGraphUnit{4.5} + \Vertex {e} + \NOEA(e){f} + \SOEA(e){d} + \SOEA(f){h} + \Vertex[position={above of=e,yshift=2cm}]{g} + \Vertex[position={left of=g,xshift=-1cm}]{c} + \Vertex[position={left of=d,xshift=-2cm}]{a} + \SOWE(c){b} + \tikzstyle{LabelStyle}=[fill=white] + \Edge[label=$3$](a)(b) + \Edge[label=$11$](a)(c) + \Edge[label=$6$](a)(e) + \Edge[label=$17$](a)(d) + \Edge[style={pos=.25},label=$20$](a)(g) + \Edge[label=$5$](c)(b) + \Edge[label=$6$](c)(e) + \Edge[label=$7$](c)(g) + \Edge[label=$7$](f)(e) + \Edge[label=$3$](d)(e) + \Edge[label=$9$](d)(h) + \Edge[label=$6$](g)(e) + \Edge[style={bend left},label=$11$](g)(h) + \Edge[label=$4$](f)(h) +\end{tikzpicture} +\end{center} + +\medskip +Déterminer, à l'aide d'un algorithme, la durée minimum pour aller de l'arrêt $a$ à l'arrêt $h$ et donner ce trajet. +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\vfill\newpage +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +Code du graphe précédent + +\medskip +\begin{tkzexample}[code only] +\begin{tikzpicture}[>=latex] + \SetGraphUnit{4.5} + \Vertex {e} + \NOEA(e){f} + \SOEA(e){d} + \SOEA(f){h} + \Vertex[position={above of=e,yshift=2cm}]{g} + \Vertex[position={left of=g,xshift=-1cm}]{c} + \Vertex[position={left of=d,xshift=-2cm}]{a} + \SOWE(c){b} + \Edges(a,c,g) \Edges(d,h,f,e,d,a,e,g,a,b,c,e) + \Edge[style={bend left}](g)(h) +\end{tikzpicture} +\end{tkzexample} + +et + +\begin{tkzexample}[code only] +\begin{tikzpicture}[>=latex] + \SetGraphUnit{4.5} + \Vertex {e} + \NOEA(e){f} + \SOEA(e){d} + \SOEA(f){h} + \Vertex[position={above of=e,yshift=2cm}]{g} + \Vertex[position={left of=g,xshift=-1cm}]{c} + \Vertex[position={left of=d,xshift=-2cm}]{a} + \SOWE(c){b} + \tikzstyle{LabelStyle}=[fill=white] + \Edge[label=$3$](a)(b) + \Edge[label=$11$](a)(c) + \Edge[label=$6$](a)(e) + \Edge[label=$17$](a)(d) + \Edge[style={pos=.25},label=$20$](a)(g) + \Edge[label=$5$](c)(b) + \Edge[label=$6$](c)(e) + \Edge[label=$7$](c)(g) + \Edge[label=$7$](f)(e) + \Edge[label=$3$](d)(e) + \Edge[label=$9$](d)(h) + \Edge[label=$6$](g)(e) + \Edge[style={bend left},label=$11$](g)(h) + \Edge[label=$4$](f)(h) +\end{tikzpicture} +\end{tkzexample} + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\vfill\newpage +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\subsection{Amérique du Sud Nov 2006}\label{amsn06} +\begin{enumerate} +\item À l'occasion de la coupe du monde de football 2006 en Allemagne, une agence touristique organise des voyages en car à travers les différentes villes où se joueront les matchs d'une équipe nationale. + +Les routes empruntées par les cars sont représentées par le graphe ci-dessous. Le long de chaque arête figure la distance en kilomètres séparant les villes. +Les lettres B, D, F, H, K, M, N et S représentent les villes Berlin, Dortmnd, Francfort, Hambourg, Kaiserslautern, Munich, Nuremberg et Stuttgart. + +\bigskip + +\begin{center} +\begin{tikzpicture} + \Vertex[x=0 ,y=0]{K} + \Vertex[x=0 ,y=2]{F} + \Vertex[x=-1,y=4]{D} + \Vertex[x=3 ,y=7]{H} + \Vertex[x=8 ,y=5]{B} + \Vertex[x=9 ,y=2]{N} + \Vertex[x=5 ,y=0]{M} + \Vertex[x=3 ,y=1]{S} + \tikzstyle{LabelStyle}=[fill=white,sloped] + \tikzstyle{EdgeStyle}=[bend left] + \Edge[label=$120$](K)(F) + \Edge[label=$650$](H)(S) + \Edge[label=$780$](H)(M) + \Edge[label=$490$](D)(B) + \Edge[label=$600$](D)(M) + \Edge[label=$580$](B)(M) + \Edge[label=$600$](H)(N) + \Edge[label=$490$](F)(H) + \tikzstyle{EdgeStyle}=[bend right] + \Edge[label=$630$](S)(B) + \Edge[label=$210$](S)(N) + \Edge[label=$230$](S)(M) +\end{tikzpicture} +\end{center} + +\bigskip +En précisant la méthode utilisée, déterminer le plus court chemin possible pour aller de Kaiserslautern à Berlin en utilisant les cars de cette agence. +\item Pour des raisons de sécurité, les supporters de certaines équipes nationales participant à la coupe du monde de football en 2006 ne peuvent être logés dans le même hôtel. + +On donne ci-dessous le graphe d'incompatibilité entre les supporters de différentes équipes : par exemple, un supporter de l'équipe A ne peut être logé avec un supporter de l'équipe P. + +\bigskip +\begin{center} +\begin{tikzpicture} + \tikzstyle{EdgeStyle}=[bend left] + \Vertex[x=0,y=0]{G} + \Vertex[x=0,y=3]{A} + \Vertex[x=3,y=5]{P} + \Vertex[x=4,y=2]{C} + \Vertex[x=8,y=3]{Q} + \Vertex[x=7,y=0]{E} + \Vertex[x=3,y=-1]{R} + \Edges(G,A,P,Q,E) \Edges(C,A,Q) \Edges(C,R,G) \Edges(P,E,A) +\end{tikzpicture} +\end{center} + +\bigskip +\begin{enumerate} +\item Déterminer le nombre chromatique de ce graphe en justifiant la valeur trouvée. +\item Proposer une répartition des supporters par hôtel en utilisant un nombre minimum d'hôtels. +\end{enumerate} +\end{enumerate} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\vfill\newpage\null +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% Liban juin 2006 +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\subsection{Liban juin 2006 }\label{lib06} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +\begin{enumerate} +\item Dans un parc, il y a cinq bancs reliés entre eux par des allées. + +On modélise les bancs par les sommets A, B, C, D, E et les allées par les arêtes du +graphe G ci-dessous : + + +\medskip +\begin{center} +\begin{tikzpicture} + \SetGraphUnit{3} + \tikzstyle{VertexStyle}=[shape = circle, + fill = black, + minimum size = 20pt, + text = white, + draw] + \Vertex[L= {\textbf{E}}]{E} + \NOEA[L = {\textbf{A}}](E){A} + \SOEA[L = {\textbf{D}}](E){D} + \EA[L = {\textbf{C}}](D){C} + \NOEA[L = {\textbf{B}}](C){B} + \tikzstyle{EdgeStyle}=[double = orange,% + double distance = 1pt,% + thick,% + bend right = 20] + \Edges(B,A,E,D,C,B,D) +\end{tikzpicture} +\end{center} + +\medskip + +\begin{enumerate} +\item On désire peindre les bancs de façon que deux bancs reliés par une allée soient +toujours de couleurs différentes. + +Donner un encadrement du nombre minimal de couleurs nécessaires et justifier. + +Déterminer ce nombre. +\item Est-il possible de parcourir toutes les allées de ce parc sans passer deux fois par +la même allée? +\end{enumerate} +\item Une exposition est organisée dans le parc. La fréquentation devenant trop importante, on décide d'instaurer un plan de circulation : certaines allées deviennent à sens unique, d'autres restent à double sens. Par exemple la circulation dans l'allée +située entre les bancs B et C pourra se faire de B vers C et de C vers B, alors que la circulation dans l'allée située entre les bancs A et B ne pourra se faire que de A vers B. Le graphe G$'$ ci-dessous modélise cette nouvelle situation : + +\medskip +\begin{center} +\begin{tikzpicture} + \SetGraphUnit{3} + \tikzstyle{VertexStyle}=[shape = circle, + fill = black, + minimum size = 20pt, + text = white, + draw] + \tikzstyle{TempStyle}=[double = orange,% + double distance = 1pt] + \Vertex[L= {\textbf{E}}]{E} + \NOEA[L = {\textbf{A}}](E){A} + \SOEA[L = {\textbf{D}}](E){D} + \EA[L = {\textbf{C}}](D){C} + \NOEA[L = {\textbf{B}}](C){B} + \tikzstyle{EdgeStyle}=[TempStyle,% + post,% + bend right = 20] + \Edges(A,E,D,C,B,D) + \tikzstyle{EdgeStyle}=[TempStyle,% + pre,% + bend right = 20] + \Edges(B,A) + \tikzstyle{EdgeStyle}=[TempStyle,% + pre,% + bend left = 20] + \Edges(A,E,D,C,B) +\end{tikzpicture} +\end{center} + +\begin{enumerate} +\item Donner la matrice M associée au graphe G$'$. (On ordonnera les sommets +par ordre alphabétique). +\item On donne M$^5 += \begin{pmatrix} +1& 6& 9& 6& 10\\ +4& 5& 7& 11& 5\\ +4& 6& 6& 11& 5\\ +1& 5& 10& 6& 10\\ +6& 5& 5& 14& 2\\ +\end{pmatrix}$ + +Combien y a-t-il de chemins de longueur 5 permettant de se rendre du +sommet D au sommet B ? + +Les donner tous. +\item Montrer qu'il existe un seul cycle de longueur 5 passant par le sommet A. + +Quel est ce cycle ? + +En est-il de même pour le sommet B ? + \end{enumerate} +\end{enumerate} + +\vfill\newpage\null +Code des graphes précédents + +\begin{tkzexample}[code only] +\begin{tikzpicture} + \SetGraphUnit{3} + \tikzstyle{VertexStyle}=[shape = circle, + fill = black, + minimum size = 20pt, + text = white, + draw] + \Vertex[L= {\textbf{E}}]{E} + \NOEA[L = {\textbf{A}}](E){A} + \SOEA[L = {\textbf{D}}](E){D} + \EA[L = {\textbf{C}}](D){C} + \NOEA[L = {\textbf{B}}](C){B} + \tikzstyle{EdgeStyle}=[double = orange, + double distance = 1pt, + thick, + bend right = 20] + \Edges(B,A,E,D,C,B,D) +\end{tikzpicture} +\end{tkzexample} + +\begin{tkzexample}[code only] +\begin{tikzpicture} + \SetGraphUnit{3} + \tikzstyle{VertexStyle}=[shape = circle, + fill = black, + minimum size = 20pt, + text = white, + draw] + \tikzstyle{TempStyle}=[double = orange, + double distance = 1pt] + \Vertex[L= {\textbf{E}}]{E} + \NOEA[L = {\textbf{A}}](E){A} + \SOEA[L = {\textbf{D}}](E){D} + \EA[L = {\textbf{C}}](D){C} + \NOEA[L = {\textbf{B}}](C){B} + \tikzstyle{EdgeStyle}=[TempStyle, + post, + bend right = 20] + \Edges(A,E,D,C,B,D) + \tikzstyle{EdgeStyle}=[TempStyle,% + pre,% + bend right = 20] + \Edges(B,A) + \tikzstyle{EdgeStyle}=[TempStyle,% + pre,% + bend left = 20] + \Edges(A,E,D,C,B) +\end{tikzpicture} +\end{tkzexample} + + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-couverture.tex b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-couverture.tex new file mode 100644 index 0000000000..d595024dac --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-couverture.tex @@ -0,0 +1,33 @@ +% $Id$ +\thispagestyle{empty} +\null\vfill +\begin{center} +\textcolor{Brown}{\fontsize{30}{30}\selectfont{\upshape tkz-graph.sty}} + +\vspace{0.25cm} +\hfill\textcolor{Brown}{\fontsize{14}{14}\selectfont{\upshape Alain Matthes}} +\end{center} + +\vspace{3cm} +\begin{center} +\begin{tikzpicture}[scale=5] + \SetVertexNoLabel + \tikzstyle{VertexStyle}=[draw, + shape = circle, + shading = ball, + ball color = blue!50, + inner sep = 10pt, + outer sep = 0pt] + \tikzstyle{EdgeStyle}= [thick, + double = blue,% + double distance = 1pt] + \draw[fill = white,color = white] circle (0.55cm); + \draw (0,0) node[circle,draw,shade, + ball color = orange, + minimum size = 3cm] (am){\textbf{AlterMundus}}; + \grIcosahedral[RA=1.4,RB=0.8] +\end{tikzpicture} +\end{center} +\vfill\newpage\null\thispagestyle{empty} +\endinput + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-edge.tex b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-edge.tex new file mode 100644 index 0000000000..bc538f15cb --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-edge.tex @@ -0,0 +1,120 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-graph/doc-fr/TKZdoc-gr-main.tex + +% $Id$ +\section{Edge avec tkz-graph} + +\begin{NewMacroBox}{Edge}{\oarg{local options}\varp{Vertex A}\varp{Vertex B}} + +\begin{tabular}{lllc} +options & défaut & définition \\ \midrule +\TOline{local} {false} {booléen désactive EdgeStyle } +\TOline{color} {\textbackslash EdgeColor} {couleur de l'arête} +\TOline{lw} {\textbackslash EdgeLineWidth} {épaisseur de l'arête.} +\TOline{label} {\{\}} {le label} +\TOline{labeltext} {black} {couleur du texte} +\TOline{labelcolor} {white} {couleur du fond du label } +\TOline{labelstyle} {\{\}} {modication du style du label} +\TOline{style} {pos=.5} {modification du style général} \bottomrule +\end{tabular} + +\medskip +\emph{Cette macro permet de tracer une arête entre deux sommets. Dans les exemples et dans le chapitre sur les styles, l'usage des styles est expliqué. } +\end{NewMacroBox} + + + +\medskip +\subsection{Utilisation de \addbs{Edge}} + On peut remarquer qu'il y a deux sortes d'arêtes au niveau de la forme : les segments et les arcs. De plus, ces arêtes peuvent avoir un label. La notion de style est importante car on peut définir pour toutes les arêtes un même style dès le début. + +par défaut : + +\begin{tkzexample}[latex=8cm, small] +\begin{tikzpicture} + \SetGraphUnit{4} + \Vertex{a} + \EA(a){b} + \SO[unit=2](a){c} + \EA(c){d} + {\SetGraphUnit{2} + \SO(c){e}} + \EA(e){f} + \Edge(a)(b) + \tikzset{EdgeStyle/.style = {-,bend left}} + \Edge(c)(d) + \tikzset{EdgeStyle/.style = {->,bend right=60}} + \Edge(e)(f) +\end{tikzpicture} +\end{tkzexample} + + + + +\vfill +\newpage + +\subsection{Arête particulière la boucle : \tkzname{Loop}} + +\begin{NewMacroBox}{Loop}{\oarg{local options}\varp{Vertex}} +\begin{tabular}{lllc} +options & défaut & définition \\ +\midrule +\TOline{color} {black } {} +\TOline{lw} {0.8pt } {} +\TOline{label} {\{\} } {} +\TOline{labelstyle} {\{\} } {} +\TOline{style} {\{\} } {} +\end{tabular} +\end{NewMacroBox} + +\subsubsection{Exemple avec \tkzcname{Loop}} +\begin{center} +\begin{tkzexample}[vbox, small] +\begin{tikzpicture} + \useasboundingbox (-1,-2) rectangle (8,2); + \SetVertexSimple + \SetGraphUnit{5} + \Vertex{A} + \EA(A){B} + \Edge[style={->}](A)(B) + \Loop[dist=3cm,dir=EA,style={thick,->}](B) + \Loop[dist=5cm,dir=WE,style={thick,->}](A) +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill +\newpage +\subsection{Multiple arêtes \tkzcname{Edges}} + +\begin{NewMacroBox}{Edges}{\oarg{local options}\varp{Vertex A,Vertex B,\dots}} + +\begin{tabular}{llc} +options & défaut & définition \\ +\midrule +\TOline{color} {black} {} +\TOline{lw} {thick} {} +\TOline{label} {\{\} } {} +\TOline{labelstyle}{\{\}} {} +\TOline{style} {\{\} } {} +\bottomrule +\end{tabular} + +\medskip +\emph{ Cette macro permet de définir une série d'arêtes en une seule fois.} +\end{NewMacroBox} + +\subsubsection{Exemple avec \tkzcname{Edges}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \SetGraphUnit{4} + \GraphInit[vstyle=Art] + \Vertices{circle}{a0,a1,a2,a3,a4,a5,a6,a7} + \Edges(a0,a3,a6,a1,a4,a7,a2,a5,a0) +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-installation.tex b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-installation.tex new file mode 100644 index 0000000000..e54d7653d4 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-installation.tex @@ -0,0 +1,108 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-graph/doc-fr/TKZdoc-gr-main.tex +% $Id$ + +\section{Installation} + +Il est possible que lorsque vous lirez ce document, \tkzname{tkz-graph} soit présent sur les serveurs du \tkzname{CTAN}\footnote{\tkzname{tkz-graph} ne fait pas encore partie de \tkzname{TeXLive} mais il sera bientôt possible de l'installer avec \emph{tlmgr}}. Si \tkzname{tkz-graph} ne fait pas encore partie de votre distribution, cette section vous montre comment l'installer. + +\subsection{Avec TeXLive sous OS X, Linux et Windows}\NameDist{TeXLive} +Créer un dossier \tikz[remember picture,baseline=(n1.base)]\node [fill=green!20,draw] (n1) {tkz}; avec comme chemin : \colorbox{blue!20}{ texmf/tex/latex/tkz}. + + \colorbox{blue!20}{texmf} est un dossier personnel, voici les chemins de ce dossier sur mes deux ordinateurs: + +\medskip +\begin{itemize}\setlength{\itemsep}{10pt} + +\item sous OS X\NameSys{OS X} \colorbox{blue!20}{\textbf{/Users/ego/Library/texmf}}; + +\item sous Ubuntu\NameSys{Linux Ubuntu} \colorbox{blue!20}{\textbf{/home/ego/texmf}}. + +\end{itemize} + + Sous Windows je ne connais pas cette distribution sous ce système, mais je suppose que l'installation doit ressembler à ce qui se passe sous Linux et OS X. + +\medskip +\begin{enumerate} +\item Placez \tikz[remember picture,baseline=(n2.base)]\node [fill=green!20,draw] (n2) {tkz-graph.sty}; dans le dossier \colorbox{green!20}{tkz}. +\item Ouvrir un terminal, puis faire \colorbox{red!30}{|sudo texhash|} +\item Vérifier que \tkzname{xkeyval}\index{xkeyval} version 2.5 minimum et \tkzname{Ti\emph{k}Z 2.1}\index{TikZ@Ti\emph{k}Z} sont installés car ils sont obligatoires, pour le bon fonctionnement de \tkzname{tkz-graph}. +\end{enumerate} +Mon dossier texmf est structuré ainsi : + +\emph{Attention, la présence dans mon dossier texmf, des fichiers de \PGF, s'explique par l'utilisation de la version CVS de \PGF}. + +\vfill +\begin{tikzpicture} [remember picture,rotate=90] +% nodes +\node (texmf) at (4,2) [draw,fill=blue!20 ] {texmf}; + +\node (tex) at (6,0) [draw ] {tex}; +\node (doc) at (2,0) [draw ] {doc}; + +\node (texgen) at (7,-2) [draw ] {generic}; +\node (docgen) at (0,-2) [draw ] {generic}; + +\node (latex) at (4,-2) [draw ] {latex}; + +\node (genpgf) at (7,-4) [draw] {pgf}; +\node (latpgf) at (5,-4) [draw] {pgf}; +\node (tkz) at (4,-4) [draw,fill=green!20 ] {tkz}; + +\node (docpgf) at (0,-4) [draw] {pgf}; + +\node (tkb) at (6,-6) [draw,fill=orange!20] {tkzbase}; +\node (tke) at (2,-6) [draw,fill=orange!20] {tkzeuclide}; + +\node (tari) at (7,-11) [draw,fill=orange!20] {tkz-tools-arith.tex}; +\node (tary) at (5,-11) [draw,fill=green!20] {tkz-arith.sty}; +\node (tgra) at (4,-11) [draw,fill=green!20] {tkz-graph.sty}; +\node (tber) at (3,-11) [draw,fill=green!20] {tkz-berge.sty}; + +% edges +\draw[-open triangle 90](texmf.north east) -- (tex.south west) ; +\draw[-open triangle 90](texmf.south east) -- (doc.north west) ; + +\draw[-open triangle 90](tex.north east) -- (texgen.south west) ; +\draw[-open triangle 90](tex.south east) -- (latex.north west) ; +\draw[-open triangle 90](texgen.east) -- (genpgf.west) ; + +\draw[-open triangle 90](doc.south east) -- (docgen.north west) ; +\draw[-open triangle 90](docgen.east) -- (docpgf.west) ; + +\draw[-open triangle 90](latex.north east) -- (latpgf.south west) ; +\draw[-open triangle 90](latex.east) -- (tkz.west) ; + +\draw[-open triangle 90,orange!80](tkz.east) to [out=-90,in=90](tkb.west) ; +\draw[-open triangle 90,orange!80](tkz.east) to [out=-90,in=90](tke.west) ; +\draw[-open triangle 90,orange!80](tkb.east) to [out=-90,in=90](tari.west) ; +\draw[-open triangle 90,green!80](tkz.east) to [out=-90,in=90](tary.west) ; +\draw[-open triangle 90,green!80](tkz.east) to [out=-90,in=90](tgra.west) ; +\draw[-open triangle 90,green!80](tkz.east) to [out=-90,in=90](tber.west) ; + +\end{tikzpicture} + +\begin{tikzpicture}[remember picture,overlay] + \path[->,thin,green!80,>=latex] (n1) edge [bend left] (tkz); + \path[->,thin,green!80,>=latex] (n2) edge [bend left] (tgra); +\end{tikzpicture} + +\vfill +\newpage +\subsection{Avec MikTeX sous Windows XP}\NameDist{MikTeX}\NameSys{Windows XP} + +Il est fort possible que lorsque vous lirez ces lignes, il soit possible d'installer \tkzname{tkz-graph} automatiquement à l'aide du manager de MikTeX. + +Un utilisateur de mes packages \tkzimp{Wolfgang Buechel} a eu la gentillesse de me faire parvenir ce qui suit, et cela permet d'installer manuellement mon package~: + +Pour ajouter \tkzname{tkz-graph.sty} à MiKTeX\footnote{Essai réalisé avec la version \tkzname{2.7}}: + +\begin{itemize}\setlength{\itemsep}{10pt} + \item ajouter un dossier \tkzname{tkz} dans le dossier + \colorbox{blue!30}{\texttt{[MiKTeX-dir]/tex/latex}}; + \item copier \tkzname{tkz-graph.sty} dans ce dossier; + \item mettre à jour MiKTeX, pour cela dans shell DOS lancer la commande \colorbox{red!30}{|mktexlsr -u|} ou bien encore, choisir \colorbox{red!30}{|Start/Programs/Miktex/Settings/General|} +puis appuyer sur le bouton \colorbox{red!30}{|Refresh FNDB|}. +\end{itemize} + + +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-label.tex b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-label.tex new file mode 100644 index 0000000000..1ffb6c38cd --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-label.tex @@ -0,0 +1,155 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-graph/doc-fr/TKZdoc-gr-main.tex + +% $Id$ +\section{Les labels} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +% Options sur les labels +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +Rappel : Si aucun label n'est donné alors l'affichage du label est celui de la référence du \tkzname{vertex}. Il est possible de modifier localement le comportemnt des labels + +\subsection{Options concernant les labels} + +L'option suivante permet de définir un label, celui-ci peut être en mode texte ou bien en mode math. + +\subsubsection{Option \tkzname{L}} + +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} + \Vertex[L=$\alpha$] {a} + \EA[unit=4](a){b} +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Option \tkzname{Math}} +Le label est en mode math. Il est inutile de placer L en mode math si l'option est utilisée. + +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} + \Vertex[Math] {A_1} + \Vertex[Math,L=\alpha,x=4,y=0] {a} +\end{tikzpicture} +\end{tkzexample} + + +\subsubsection{Suppression d'un label, Option \tkzname{NoLabel}} +Cette option supprime l'affichage du label. Il est préférable d'utiliser \tkzname{SetVertexNoLabel} si on veut généraliser à tous les sommets. + +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} + \SetGraphUnit{4} + \Vertex[NoLabel]{A} + \EA[NoLabel](A){B} +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Option \tkzname{LabelOut}, \tkzname{Lpos} et \tkzname{Ldist}} + +La première option permet de placer le label hors du node, la deuxième positionne le label autour du sommet et la dernière spécifie la distance entre le label et le sommet. + +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} + \Vertex[LabelOut]{A} + \Vertex[LabelOut,Lpos=60, + Ldist=.5cm,x=2,y=0]{B} + \Vertex[LabelOut,Lpos=60,x=4,y=0]{C} +\end{tikzpicture} +\end{tkzexample} + + +\vfill\newpage +On peut souhaiter appliquer une option pour tous les sommets. + +\subsection{\tkzcname{SetVertexNoLabel}} +On peut souhaiter ne pas avoir de label pour tous les sommets avec un style prédéfini. + +\begin{NewMacroBox}{SetVertexNoLabel}{} +\emph{ Cette macro permet de supprimer les labels sur tous les sommets. Elle agit globalement sur tous les sommets. Elle correspond à l'option \tkzname{NoLabel}.} +\end{NewMacroBox} + +\subsubsection{Suppression des labels} + +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \SetGraphUnit{4} + \SetVertexNoLabel + \Vertex{A}\EA(A){B} +\end{tikzpicture} +\end{tkzexample} + + +\subsection{\tkzcname{SetVertexMath} } +\begin{NewMacroBox}{SetVertexMath}{} +\emph{Cette macro permet d'appliquer l'option \tkzname{Math} à plusieurs sommets. Elle agit globalement sur tous les sommets. Elle correspond à l'option \tkzname{Math}} +\end{NewMacroBox} + +\begin{tkzexample}[latex=7cm,small] + \begin{tikzpicture} + \SetVertexMath + \Vertex {A_1} \EA[unit=3](A_1){A_2}\texttt{} +\end{tikzpicture} +\end{tkzexample} + +\subsection{\tkzcname{SetVertexLabel}} +\begin{NewMacroBox}{SetVertexLabel}{} +\emph{ Cette macro autorise les labels. Elle agit globalement sur tous les sommets.} +\end{NewMacroBox} + +\subsubsection{Labels supprimés puis autorisés.} + Dans l'exemple qui suit, les labels sont supprimés puis autorisés. + +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} + \SetVertexNoLabel + \SetGraphUnit{2} + \Vertex {A} \EA(A){B} + \SetVertexLabel \EA(B){C} +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Label en dehors du sommet \tkzcname{SetVertexLabelOut}} + +\begin{NewMacroBox}{SetVertexLabelOut}{} +\emph{\tkzcname{SetVertexLabelOut} Dans les exemples précédents, les sommets sont des petits disques colorés, généralement en noir et dans ce cas par défaut le label est à l'extérieur. On peut contrôler la position à l'aide des labels avec \tkzname{Ldist} et\tkzname{Lpos}.} +\end{NewMacroBox} + +\begin{NewMacroBox}{SetVertexLabelIn}{} +\emph{\tkzcname{SetVertexLabelIn} permet d'écrire le label dans le sommet.} +\end{NewMacroBox} + +Cette macro permet d'appliquer l'option à plusieurs sommets. \tkzcname{SetVertexLabelIn} annule l'effet. + +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} + \SetGraphUnit{3} + \SetVertexLabelOut + \Vertex {A} \EA(A){B} + \SetVertexLabelIn \SO[unit=3](B){C} +\end{tikzpicture} +\end{tkzexample} + +\endinput + + + + +% \subsection{\tkzname{NoLabel} } +% +% \tkzname{NoLabel} Cela permet de supprimer le nom d'un sommet +% +% \begin{tkzexample}[vbox] +% \begin{tikzpicture} +% \SetGraphUnit{4} +% \tikzset{VertexStyle/.style = {shape = circle, +% inner sep = 0pt, +% outer sep = 0pt, +% fill = yellow,% +% minimum size = 16pt,% +% draw}} +% \Vertex[NoLabel]{A}\EA[NoLabel](A){B} +% \end{tikzpicture} +% \end{tkzexample} +% + + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-main.tex b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-main.tex new file mode 100644 index 0000000000..3fe4aac1c7 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-main.tex @@ -0,0 +1,215 @@ +% encoding : utf8 +% tkz-graph.tex +% Created by Alain Matthes on 2008-01-19. +% Copyright (C) 2009 Alain Matthes +% +% This file may be distributed and/or modified +% +% 1. under the LaTeX Project Public License , either version 1.3 +% of this license or (at your option) any later version and/or +% 2. under the GNU Public License. +% +% See the file doc/generic/pgf/licenses/LICENSE for more details.% +% See http://www.latex-project.org/lppl.txt for details. +% +% +% ``tkzdoc-graph-fr'' is the french doc of tkz-graph +% +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% % +% tkz-graph.sty encodage : utf8 % +% % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% % +% Créé par Alain Matthes le 19/02/2007 % +% Copyright (c) 2006 __Collège Sévigné__ All rights reserved. % +% version : 0.95 c % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + + +\documentclass[DIV = 15, + fontsize = 10, + headinclude = false, + index = totoc, + footinclude = false, + headings = small]{tkz-doc} + +\gdef\nameofpack{tkz-graph} +\gdef\versionofpack{ctan v1.00 c} +\gdef\dateofpack{2011/06/01} +\gdef\nameofdoc{doctkz-graph} +\gdef\dateofdoc{2011/06/01} +\gdef\authorofpack{Alain Matthes} +\gdef\adressofauthor{} +\gdef\namecollection{AlterMundus} +\gdef\urlauthor{http://altermundus.fr} +\gdef\urlauthorcom{http://altermundus.com} + + +\tkzSetUpColors[background=fondpaille,text=Maroon] +\usepackage[pdftex, + unicode, + colorlinks = true, + pdfpagelabels, + urlcolor = blue, + filecolor = pdffilecolor, + linkcolor = blue, + breaklinks = false, + hyperfootnotes= false, + bookmarks = false, + bookmarksopen = false, + linktocpage = true, + pdfsubject ={Graph theory}, + pdfauthor ={Alain Matthes}, + pdftitle ={tkz-graph}, + pdfkeywords ={graph,Berge,Petersen,cyclic,complete,circulant}, + pdfcreator ={pdfeTeX} + ]{hyperref} + +\usepackage{url} +\def\UrlFont{\small\ttfamily} + +\usepackage[protrusion = true, + expansion, + final, + verbose = false, + babel = true + ]{microtype} + +\DisableLigatures{encoding = T1, family = tt*} + +\usepackage{fancybox} +\usepackage{amsmath,amssymb,stmaryrd,calc} +\usepackage{xkeyval,array,tkz-graph} + +\usepackage[weather]{ifsym} + +\pdfcompresslevel=9 +\pdfinfo{ + /Title (doctkz-graph.pdf) + /Creator (TeX) + /Producer (pdfeTeX) + /Author (Alain Matthes) + /CreationDate (28 février 2011) + /Subject (Documentation du package tkz-graph.sty v 1.00 c) + /Keywords (node, graph, edge, pdflatex) } + +\title{The package : tkz-graph.sty} +\author{Alain Matthes} + +\renewcommand*{\Ienv}[1]{% + \index{Environnement_1@\texttt{Environnement}!\texttt{#1}}} +\renewcommand*{\NameSys}[1]{% + \index{Système d'exploitation !#1@\texttt{#1}}} + + +\usepackage{shortvrb,fancyvrb} +\makeatletter +\renewcommand*\l@subsubsection{\bprot@dottedtocline{3}{3.8em}{4em}} +\makeatother +\AtBeginDocument{\MakeShortVerb{\|}} + +\usepackage[frenchb]{babel} +\usepackage[autolanguage]{numprint} +\usepackage{tkzexample} + +\begin{document} + +\parindent=0pt + + +\title{\nameofpack} +\date{\today} +\clearpage +\thispagestyle{empty} +\maketitle + +\clearpage +\tkzSetUpColors[background=fondpaille,text=Maroon] +\colorlet{textcodecolor}{Maroon} +\pagecolor{fondpaille} +\color{Maroon} +\colorlet{graphicbackground}{fondpaille} +\colorlet{codebackground}{Peach!30} +\colorlet{codeonlybackground}{Peach!30} + +\nameoffile{\nameofpack} +\defoffile{Le package \tkzname{tkz-graph.sty} est un package pour créer à l'aide de \TIKZ\ des graphes le plus simplement possible. Il fera partie d'une série de modules ayant comme point commun, la création de dessins utiles dans l'enseignement des mathématiques. La lecture de cette documentation va , je l'espère, vous permettre d'apprécier la simplicité d'utilisation de \TIKZ\ et vous permettre de commencer à le pratiquer. Il est accompagné du package \tkzname{tkz-berge.sty} qui permet de tracer des graphes particuliers de la théorie des graphes.} + +\presentation + +\vspace*{1cm} +\lefthand\ Je souhaite remercier \textbf{Till Tantau} pour avoir créé le merveilleux outil \href{http://sourceforge.net/projects/pgf/}{Ti\emph{k}Z}, ainsi que \tkzimp{Michel Bovani} pour \tkzname{fourier}, dont l'association avec \tkzname{utopia} est excellente. + + +\vspace*{12pt} +\lefthand\ Vous trouverez de nombreux exemples sur mes sites~: +\href{http://altermundus.com/pages/download.html}{altermundus.com} ou +\href{http://altermundus.fr/pages/download.html}{altermundus.fr} + +\vfill +Vous pouvez envoyer vos remarques, et les rapports sur des erreurs que vous aurez constatées à l'adresse suivante~: \href{mailto:al.ma@mac.com}{\textcolor{blue}{Alain Matthes}}. + +This file can be redistributed and/or modified under the terms of the LATEX +Project Public License Distributed from CTAN archives in directory \url{CTAN:// +macros/latex/base/lppl.txt}. + + + + \clearpage + \tableofcontents + \clearpage + + +Liste des macros dans l'ordre d'apparition : + +\medskip +\begin{itemize} +\item \tkzcname{SetVertexLabelOut} +\item \tkzcname{SetVertexLabelIn} +\item \tkzcname{SetVertexMath} +\item \tkzcname{SetVertexNoMath} +\item \tkzcname{SetUpVertex} +\item \tkzcname{Vertex} +\item \tkzcname{EA} +\item \tkzcname{WE} +\item \tkzcname{NO} +\item \tkzcname{SO} +\item \tkzcname{NOEA} +\item \tkzcname{NOWE} +\item \tkzcname{SOEA} +\item \tkzcname{SOWE} +\item \tkzcname{Vertices} +\item \tkzcname{SetUpEdge} +\item \tkzcname{Edge} +\item \tkzcname{Edges} +\item \tkzcname{Loop} +\item \tkzcname{grProb} +\item \tkzcname{SetGraphShadeColor} +\item \tkzcname{SetGraphArtColor} +\item \tkzcname{SetGraphColor} +\item \tkzcname{AddVertexColor} +\end{itemize} + +\vfill +%<--------------------------------------------------------------------------> +\renewcommand*{\VertexLightFillColor}{fondpaille} +\tkzSetUpColors[background=fondpaille,text=Maroon] +\include{TKZdoc-gr-installation} +\include{TKZdoc-gr-presentation} +\include{TKZdoc-gr-vertex} +\include{TKZdoc-gr-vertices} +\include{TKZdoc-gr-label} +\include{TKZdoc-gr-edge} +\include{TKZdoc-gr-style} +\include{TKZdoc-gr-prob} +\include{TKZdoc-gr-Welsh} +%\include{TKZdoc-gr-annales} +%\include{TKZdoc-gr-Dijkstra} +%<--------------------------------------------------------------------------> + +\printindex + +\end{document} + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-presentation.tex b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-presentation.tex new file mode 100644 index 0000000000..d7c4887ee4 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-presentation.tex @@ -0,0 +1,221 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-graph/doc-fr/TKZdoc-gr-main.tex + +% $Id$ +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\section{Premiers graphes avec tkz-graph.sty} +%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> + + + \tkzname{TikZ} est un outil que je trouve très agréable à utiliser pour la création de graphes. J'ai trouvé si simple son utilisation que je me suis demandé si cela avait un sens de créer un package pour la création de graphes. Pas de théorie des graphes dans ce package, seulement des outils pour leur construction. Trois arguments peuvent intervenir pour soutenir mon effort : + +\begin{enumerate} + +\item Certains utilisateurs n'ont pas envie d'apprendre quoi que ce soit sur \TIKZ\; cela est respectable et une simplification du code par l'intermédiaire d'un package peut avoir une certaine utilité. La syntaxe n'est plus tout à fait celle de \TIKZ\ mais celle de \LATEX. +\item Il est possible finalement de jouer avec les styles et d'optimiser certains situations, ainsi la création d'un graphe sans la moindre coordonnée est possible. On peut obtenir des variantes du graphe, simplement en jouant avec les styles. +\item La création de ce que l'on peut appeler les graphes classiques de la théorie des graphes. +\item Et pour terminer, cela peut être une approche en douceur de l'utilisation de \TIKZ\, par l'intermédiaire des options. + +\end{enumerate} + +Que peut apporter \tkzname{tkz-graph.sty} ? Il facilite la gestion des styles des sommets et des arêtes, et également le positionnement de ceux-ci. + +\subsection{Exemple simple avec \tkzname{tkz-graph}} +Avant d'expliquer le fonctionnement des différentes macros, il est possible de tester si le package est bien installé avec l'exemple simple suivant. Le code complet est donné. Le préambule peut évidemment être modifié. + + +\medskip +\begin{minipage}{.45\textwidth} +\begin{tkzltxexample}[] +% Author : Alain Matthes +% Encoding : UTF8 +% Engine : PDFLaTeX +\documentclass[]{scrartcl} +\usepackage[utf8]{inputenc} +\usepackage[upright]{fourier} +% you can change the line above +\usepackage{tkz-graph} +\thispagestyle{empty} +\begin{document} + +\begin{tikzpicture}[scale=1.75] + \GraphInit[vstyle=Art] + \Vertex{A} + \Vertex[x=4,y=0]{B} + \Vertex[x=1,y=2]{C} + \Edge[style={bend left}](B)(A) + \Edges(A,B,C,A) +\end{tikzpicture} +\end{document} +\end{tkzltxexample} +\end{minipage} +\hfil\begin{minipage}{.40\textwidth} + \begin{tikzpicture}[scale=1.75] + \GraphInit[vstyle=Art] + \Vertex{A} + \Vertex[x=4,y=0]{B} + \Vertex[x=1,y=2]{C} + \Edge[style={bend left}](B)(A) + \Edges(A,B,C,A) +\end{tikzpicture} + \end{minipage} + +\newpage +\subsection{Exemple classique avec \tkzname{tkz-graph}} + +Voyons un exemple classique. Nous allons utiliser un style scolaire \tkzname{vstyle=Normal} ainsi que les macros \tkzcname{Vertices}, \tkzcname{NOEA} et \tkzcname{Edges} qui permet de créer une "chaîne" d'arêtes (edges). L'environnement \tkzname{scope} fait partie de \TIKZ, il est utilisé ici afin d'appliquer une rotation. + +\begin{center} +\begin{tkzexample}[latex=7cm, small] +\begin{tikzpicture} + \GraphInit[vstyle=Normal] + \SetGraphUnit{2} + \begin{scope}[rotate=-135] + \Vertices{circle}{A,B,C,E} + \end{scope} + \NOEA[unit=1.414](E){D} + \Edges(A,B,E,D,C,E,A,C,B) +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsection{Modification du style} +Un style plus esthétique peut être choisi avec \tkzcname{GraphInit}. J'ai choisi \tkzname{Art} parmi une liste que vous découvrirez plus tard. + + \begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \begin{scope}[rotate=-135] + \Vertices[unit=2]{circle}{A,B,C,E} + \end{scope} + \NOEA[unit=1.414](E){D} + \Edges(A,B,E,D,C,E,A,C,B) +\end{tikzpicture} +\end{tkzexample} + +\subsection{La ville de Königsberg avec \tkzname{tkz-graph}} + + +\begin{tkzexample}[latex=8cm] +\begin{tikzpicture} + \SetGraphUnit{3} + \GraphInit[vstyle=Shade] + \tikzset{LabelStyle/.style= {draw, + fill = yellow, + text = red}} + \Vertex{A} + \EA(A){B} + \EA(B){C} + \SetGraphUnit{6} + % modifie la distance entre les nodes + \NO(B){D} + \Edge[label=1](B)(D) + \tikzset{EdgeStyle/.append style = {bend left}} + \Edge[label=4](A)(B) + \Edge[label=5](B)(A) + \Edge[label=6](B)(C) + \Edge[label=7](C)(B) + \Edge[label=2](A)(D) + \Edge[label=3](D)(C) +\end{tikzpicture} +\end{tkzexample} + + + + +\medskip +Ce dernier exemple était important sur un plan historique, mais il était un peu compliqué car on doit modifier des styles. + +\subsection{La ville de Königsberg avec \TIKZ\ mais sans \tkzname{tkz-graph}} + +Voyons l'exemple précédent, sans l'utilisation du package \tkzname{tkz-graph}. +L'exemple peut être vu sur cet excellent site \url{http://www.texample.net/tikz/examples/bridges-of-konigsberg/}, voici le code complet. The result is on the next page. +D'abord le préambule + +\begin{tkzltxexample}[left margin=3cm,right margin=3cm] +% The seven bridges of Königsberg +% Author : Alain Matthes +% Encoding : UTF8 +% Engine : PDFLaTeX +\documentclass[]{article} +\usepackage[utf8]{inputenc} +\usepackage{fullpage} +\usepackage{fourier} +\usepackage{tikz} +\usetikzlibrary{arrows,shapes,positioning} +\begin{document} +\end{tkzltxexample} + +Ensuite les styles principaux + +\begin{tkzltxexample}[left margin=3cm,right margin=3cm] +\begin{center} +\begin{tikzpicture} + \useasboundingbox (-1,-1) rectangle (11,11); + \tikzset{VertexStyle/.style = {shape = circle, + ball color = orange, + text = black, + inner sep = 2pt, + outer sep = 0pt, + minimum size = 24 pt}} + \tikzset{EdgeStyle/.style = {thick, + double = orange, + double distance = 1pt}} + \tikzset{LabelStyle/.style = {draw, + fill = yellow, + text = red}} + \end{tkzltxexample} + + enfin, le tracé +\begin{tkzltxexample}[left margin=3cm,right margin=3cm] + \node[VertexStyle](A){A}; + \node[VertexStyle,right=of A](B){B}; + \node[VertexStyle,right=of B](C){C}; + \node[VertexStyle,above= 7 cm of B](D){D}; + \draw[EdgeStyle](B) to node[LabelStyle]{1} (D) ; + \tikzset{EdgeStyle/.append style = {bend left}} + \draw[EdgeStyle](A) to node[LabelStyle]{2} (B); + \draw[EdgeStyle](B) to node[LabelStyle]{3} (A); + \draw[EdgeStyle](B) to node[LabelStyle]{4} (C); + \draw[EdgeStyle](C) to node[LabelStyle]{5} (B); + \draw[EdgeStyle](A) to node[LabelStyle]{6} (D); + \draw[EdgeStyle](D) to node[LabelStyle]{7} (C); + \end{tikzpicture} +\end{center} +\end{document} +\end{tkzltxexample} + +\begin{center} +\begin{tikzpicture}[scale=.75] + \useasboundingbox (-1,-1) rectangle (11,11); + \tikzset{VertexStyle/.style = {shape = circle, + ball color = orange, + text = black, + inner sep = 2pt, + outer sep = 0pt, + minimum size = 24 pt}} + \tikzset{EdgeStyle/.style = {thick, + double = orange, + double distance = 1pt}} + \tikzset{LabelStyle/.style = {draw, + fill = yellow, + text = red}} + + \node[VertexStyle](A){A}; + \node[VertexStyle,right= 4cm of A](B){B}; + \node[VertexStyle,right= 4cm of B](C){C}; + \node[VertexStyle,above= 7 cm of B](D){D}; + \draw[EdgeStyle](B) to node[LabelStyle]{1} (D) ; + \tikzset{EdgeStyle/.append style = {bend left}} + \draw[EdgeStyle](A) to node[LabelStyle]{2} (B); + \draw[EdgeStyle](B) to node[LabelStyle]{3} (A); + \draw[EdgeStyle](B) to node[LabelStyle]{4} (C); + \draw[EdgeStyle](C) to node[LabelStyle]{5} (B); + \draw[EdgeStyle](A) to node[LabelStyle]{6} (D); + \draw[EdgeStyle](D) to node[LabelStyle]{7} (C); +\end{tikzpicture} +\end{center} + + +\endinput + + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-prob.tex b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-prob.tex new file mode 100644 index 0000000000..e2b95aab3e --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-prob.tex @@ -0,0 +1,151 @@ +%!TEX root = /Users/ego/Boulot/TKZ/Graph/doc-fr/TKZdoc-gr-main.tex +% $Id$ +\section{Graphes probabilistes } +%<–––––––––––––––––––––––––– graphes probabilistes ––––––––––––––––––––––––––> +%<–––––––––––––––––——————————————————————————————————————————————————————————> +%<–––––––––––––––––——————————————————————————————————————————————————————————> +\subsection{La macro \tkzcname{grProb} } +\begin{NewMacroBox}{grProb}{\oarg{local options} \var{left} \var{right} \var{N}\var{S}\var{W}\var{E}} + +\begin{tabular}{lll} +Arguments & & Définition \\ + \midrule + \TAline{Vertex-left} {}{Nom du sommet à gauche} + \TAline{Vertex-right} {}{Nom du sommet à droite} + \TAline{label N} {}{Étiquette située en haut} + \TAline{label S} {}{Étiquette située en bas} + \TAline{label W} {}{Étiquette située à gauche} + \TAline{label E} {}{Étiquette située à droite} + \bottomrule + \end{tabular} + +\medskip +\begin{tabular}{lll} +options & défaut & définition \\ +\midrule +\TOline{unit} {4cm} {distance entre les sommets } +\TOline{LposA} {180} {angle si label extérieur en A } +\TOline{LposB} {0 } {angle si label extérieur en B } +\TOline{Ldist} {0cm} {écart entre le node et le label } +\TOline{LoopDist} {4cm} {longueur des boucles } +\bottomrule +\end{tabular} + +\medskip +\emph{Cette macro permet de créer un graphe probabiliste d'ordre 2. } +\end{NewMacroBox} + +\subsection{Utilisation de \tkzcname{grProb} } + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \useasboundingbox (-2.5,-2) rectangle (7.5,2); + \grProb{A}{B}{NO}{SO}{WE}{EA} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\begin{tkzexample}[latex=5cm] +\begin{tikzpicture}[scale=.5] + \useasboundingbox (-2.5,-2) rectangle (5,2); + \grProb[unit=4]{\Rain}{\Sun}{0,4}{0,3}{0,6}{0,7} +\end{tikzpicture} +\end{tkzexample} + + + + + +\subsection{\tkzcname{grProb} et le style par défaut } +\begin{center} +\begin{tkzexample}[latex=5cm] +\begin{tikzpicture}[scale=.5] + \useasboundingbox (-2.5,-2) rectangle (5,2); + \grProb{A}{B}{0,8}{0,6}{0,2}{0,4} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsection{\tkzcname{grProb} et le style « Simple »} +\begin{center} +\begin{tkzexample}[latex=5cm] +\begin{tikzpicture}[scale=.5] +\useasboundingbox (-2.5,-2) rectangle (5,2); +\SetVertexSimple +\grProb[Ldist=0.2cm]{Paris}{Lyon}% + {\scriptstyle\dfrac{2}{3}}{\scriptstyle\dfrac{3}{4}}% + {\scriptstyle\dfrac{1}{3}}{\scriptstyle\dfrac{1}{4}}% +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsection{Utilisation d'un style personnalisé} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \useasboundingbox (-2.5,-2.5) rectangle (7.5,2.5); + \tikzset{VertexStyle/.style = {shape = circle, + shading = ball, + ball color = Orange, + minimum size = 20pt, + draw,color=white}} + \tikzset{LabelStyle/.style = {draw,color=orange,fill=white}} + \tikzset{EdgeStyle/.style = {->, thick, + double = orange, + double distance = 1pt}} + +\grProb[Ldist=0.1cm,LposA=0,LposB=180]% + {Paris}{Lyon}% + {\scriptstyle\dfrac{2}{3}}{\scriptstyle\dfrac{3}{4}}% + {\scriptstyle\dfrac{1}{3}}{\scriptstyle\dfrac{1}{4}}% +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill +\newpage +\subsection{La macro \tkzcname{grProbThree}} + +\begin{NewMacroBox}{grProbThree}{\oarg{local options} \var{right} \var{up}\var{down} \var{rr/ru/rd}\var{uu/ud/ur}\var{dd/dr/du}} + +\begin{tabular}{llc} +Arguments & & Définition \\ +\midrule +\TAline{Vertex-right} {}{Nom du sommet à droite} +\TAline{Vertex-up} {}{Nom du sommet en haut} +\TAline{Vertex-down} {}{Nom du sommet en bas} +\TAline{rr/ru/rd} {}{arête partant de r vers r etc\dots} +\TAline{uu/ud/ur} {}{arête partant de u vers u etc\dots} +\TAline{dd/dr/du} {}{arête partant de d vers d etc\dots} +\bottomrule +\end{tabular} + +\medskip +\begin{tabular}{llc} +Options & Défaut & Définition \\ +\midrule +\TOline{unit} {4cm} {distance entre les sommets } +\TOline{LposA} {180} {angle si label extérieur en A } +\TOline{LposB} {0 } {angle si label extérieur en B } +\TOline{Ldist} {0cm} {écart entre le node et le label } +\TOline{LoopDist} {4cm} {longueur des boucles } +\bottomrule +\end{tabular} + +\medskip +\emph{Cette macro permet de créer un graphe probabiliste d'ordre 3. } +\end{NewMacroBox} + +\subsubsection{Graphe probabiliste d'ordre 3} +\begin{center} +\begin{tkzexample}[latex=7cm] +\begin{tikzpicture}[scale=.75] + \tikzset{LabelStyle/.style = {draw,fill=white}} + \grProbThree[unit=4]{\Rain}{\Sun}{\Cloud} + {0.1/0.3/0.6}{0.2/0.3/0.5}{0.25/0.35/0.4} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-style.tex b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-style.tex new file mode 100644 index 0000000000..80f4d12084 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-style.tex @@ -0,0 +1,852 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-graph/doc-fr/TKZdoc-gr-main.tex + +% $Id$ +\section{Modification des styles des sommets} + + +Différentes méthodes sont possibles mais il faut distinguer une utilisation globale ou locale. + +Les trois principaux styles sont \tkzname{VertexStyle}, \tkzname{EdgeStyle} et \tkzname{LabelStyle}. Le dernier est attaché aux étiquettes que peuvent avoir les arêtes. + +\begin{enumerate} +\item \tkzcname{GraphInit} permet de choisir un style prédfini et il est possible de retoucher ces styles en modifiant les valeurs choisies par défaut. +\item Les styles des sommets, des arêtes et étiquettes peuvent être personnalisés avec \tkzname{VertexStyle}, \tkzname{EdgeStyle} et \tkzname{LabelStyle}. On peut redéfinir ces styles avec \tkzcname{tikzset\{VertexStyle/.append style = \{ ... \}\}} ou bien \tkzcname{tikzset\{VertexStyle/.style = \{ ... \}\}}. La première méthode modifie un style existant alors que la seconde définit un style . +\item On peut utiliser les anciennes macros : \tkzcname{SetVertexSimple}, \tkzcname{SetVertexNormal}, \tkzcname{SetUpVertex} et \tkzcname{SetUpEdge} . + +\end{enumerate} + +\medskip +Il est possible de mélanger tout cela en sachant que la dernière définition d'un style l'emporte. + +\medskip +\begin{NewMacroBox}{GraphInit}{\oarg{local options}} +\begin{tabular}{llc} +Options & Défaut & Définition \\ \midrule +\TOline{vstyle} {Normal} {} \bottomrule +\end{tabular} + +\medskip +Les possibilités pour \tkzname{vstyle} sont : + +\begin{enumerate} + \item Empty, + \item Hasse, + \item Simple, + \item Classic, + \item Normal, + \item Shade, + \item Dijkstra + \item Welsh, + \item Art, + \item Shade Art. +\end{enumerate} + +\emph{Il y a pour le moment 10 styles pré-définis. Il est possible de modifier les valeurs par défaut.} +\end{NewMacroBox} + + +Utilisation des styles pré-définis + +\begin{enumerate} +\item GraphInit par défaut + +\begin{center} +\begin{tkzexample}[latex=7cm] +\begin{tikzpicture} + \SetGraphUnit{3} + \GraphInit[vstyle=Normal] + \Vertex{A}\EA(A){B} + \Edge(A)(B) +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\item GraphInit et \tkzname{|vstyle=Empty|} + +\begin{center} +\begin{tkzexample}[latex=7cm] + \begin{tikzpicture} + \SetGraphUnit{3} + \GraphInit[vstyle=Empty] + \Vertex{A}\EA(A){B}\Edge(A)(B) +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\item GraphInit et \tkzname{|vstyle=Hasse|} + +\begin{center} +\begin{tkzexample}[latex=7cm] +\begin{tikzpicture} + \SetGraphUnit{3} + \GraphInit[vstyle=Hasse] + \Vertex{A}\EA(A){B}\Edge(A)(B) +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\item GraphInit et \tkzname{|vstyle=Simple|} + +\begin{center} +\begin{tkzexample}[latex=7cm] + \begin{tikzpicture} + \SetGraphUnit{3} + \GraphInit[vstyle=Simple] + \Vertex{A}\EA(A){B}\Edge(A)(B) +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\item GraphInit et \tkzname{|vstyle=Classic|} + +\begin{center} +\begin{tkzexample}[latex=7cm] +\begin{tikzpicture} + \SetGraphUnit{3} + \GraphInit[vstyle=Classic] + \Vertex[Lpos=-90]{A} + \EA[Lpos=-90](A){B}\Edge(A)(B) +\end{tikzpicture} +\end{tkzexample} +\end{center} + + \item GraphInit et \tkzname{|vstyle=Normal|} + +\begin{center} +\begin{tkzexample}[latex=7cm] +\begin{tikzpicture} + \SetGraphUnit{3} + \GraphInit[vstyle=Normal] + \Vertex{A}\EA(A){B}\Edge(A)(B) +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\begin{center} +\begin{tkzexample}[latex=7cm] +\begin{tikzpicture} + \SetGraphUnit{3} + \GraphInit[vstyle=Classic] + \Vertex[Lpos=-90]{Paris} + \EA[Lpos=-90](Paris){Berlin} + \Edge (Paris)(Berlin) +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\item GraphInit et \tkzname{|vstyle=Shade|} + +\begin{center} +\begin{tkzexample}[latex=7cm] +\begin{tikzpicture} + \SetGraphUnit{3} + \GraphInit[vstyle=Shade] + \Vertex{A}\EA(A){B}\Edge(A)(B) +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\item GraphInit et \tkzname{|vstyle=Dijkstra|} + +\begin{center} +\begin{tkzexample}[latex=7cm] +\begin{tikzpicture} + \SetGraphUnit{3} + \GraphInit[vstyle=Dijkstra] + \Vertex{A}\EA(A){B}\Edge[label=$7$](A)(B) +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\item GraphInit et \tkzname{|vstyle=Welsh|} + +\begin{center} +\begin{tkzexample}[latex=7cm] +\begin{tikzpicture} + \SetGraphUnit{3} + \GraphInit[vstyle=Welsh] + \Vertex[Lpos=-90]{A} + \EA[Lpos=-90](A){B}\Edge(A)(B) +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\item GraphInit et \tkzname{|vstyle=Art|} +\begin{center} +\begin{tkzexample}[latex=7cm] +\begin{tikzpicture} + \SetGraphUnit{3} + \GraphInit[vstyle=Art] + \Vertex{A}\EA(A){B}\Edge(A)(B) +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\item GraphInit et \tkzname{|vstyle=Shade Art|} +\begin{center} +\begin{tkzexample}[latex=7cm] +\begin{tikzpicture} + \SetGraphUnit{3} + \GraphInit[vstyle=Shade Art] + \Vertex{A}\EA(A){B}\Edge(A)(B) +\end{tikzpicture} +\end{tkzexample} +\end{center} +\end{enumerate} + +\newpage +\tkzname{|vstyle|} est basé sur les macros suivantes qui peuvent être redéfinies. + +\medskip +\begin{tabular}{lc}\toprule +Commandes pour les styles & utilisation \\ \midrule +|\newcommand*{\VertexInnerSep}{0pt} | &\\ +|\newcommand*{\VertexOuterSep}{0pt} | &\\ +|\newcommand*{\VertexDistance}{3cm} | &\\ +|\newcommand*{\VertexShape}{circle}| &\\ +|\newcommand*{\VertexLineWidth}{0.8pt}| &\\ +|\newcommand*{\VertexLineColor}{black}| &\\ +|\newcommand*{\VertexLightFillColor}{white}| &\\ +|\newcommand*{\VertexDarkFillColor}{black}| &\\ +|\newcommand*{\VertexTextColor}{black}| &\\ +|\newcommand*{\VertexFillColor}{black}| &\\ +|\newcommand*{\VertexBallColor}{orange}| &\\ +|\newcommand*{\VertexBigMinSize}{24pt}| &\\ +|\newcommand*{\VertexInterMinSize}{18pt}| &\\ +|\newcommand*{\VertexSmallMinSize}{12pt}| &\\ +|\newcommand*{\EdgeFillColor}{orange}| &\\ +|\newcommand*{\EdgeArtColor}{orange}| &\\ +|\newcommand*{\EdgeColor}{black}| &\\ +|\newcommand*{\EdgeDoubleDistance}{1pt}| &\\ +|\newcommand*{\EdgeLineWidth}{0.8pt}| &\\ \bottomrule +\end{tabular} + + + +\subsection{Modification de \tkzname{vstyle=Art}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \SetGraphUnit{3} + \GraphInit[vstyle=Art] + \renewcommand*{\VertexInnerSep}{8pt} + \renewcommand*{\EdgeLineWidth}{3pt} + \renewcommand*{\VertexBallColor}{blue!50} + \Vertices{circle}{A,B,C,D,E} + \Edges(A,B,C,D,E,A,C,E,B,D) +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\vfill +\newpage + +\subsection{Modification du style \tkzname{VertexStyle} par défaut} + +Il est possible de redéfinir le style \tkzcname{SetVertexSimple}. + +Par défaut : + +\begin{tkzltxexample}[] +\tikzset{VertexStyle/.style = { + shape = circle, + fill = black, + inner sep = 0pt, + outer sep = 0pt, + minimum size = 8pt, + draw] +\end{tkzltxexample} + +maintenant si on utilise ceci : + +\begin{tkzexample}[latex=7cm] +\begin{tikzpicture} + \SetVertexSimple + \tikzset{VertexStyle/.style = { + shape = rectangle, + fill = red,% + inner sep = 0pt, + outer sep = 0pt, + minimum size = 10pt, + draw}} + \SetGraphUnit{3} + \Vertex{A}\EA(A){B} +\end{tikzpicture} +\end{tkzexample} + +\subsection{Modification d'un style \tkzname{VertexStyle}} + +C'est le style par défaut pour les sommets mais on peut le modifier. Voici quelques exemples utilisés plus tard dans ce document + +par défaut : + +\begin{tkzexample}[latex=7cm] +\begin{tikzpicture} +\SetGraphUnit{3} +\tikzset{VertexStyle/.style = {% + shape = circle, + shading = ball, + ball color = Orange, + minimum size = 20pt,draw}} + \SetVertexNoLabel + \Vertex{A}\EA[unit=3](A){B} +\end{tikzpicture} +\end{tkzexample} + + ou bien encore: + +\begin{tkzexample}[latex=7cm] +\begin{tikzpicture} +\SetGraphUnit{4} +\tikzset{VertexStyle/.style = {% + shape = circle, + shading = ball, + ball color = green!40!black,% + minimum size = 30pt,draw}} +\SetVertexNoLabel +\Vertex{A}\EA[unit=3](A){B} +\end{tikzpicture} +\end{tkzexample} + \vfill +\newpage + +\begin{NewMacroBox}{SetVertexSimple}{\oarg{local options}} + +\medskip +\emph{Il est possible de modifier les styles prédéfinis. La macro \tkzcname{SetVertexSimple} permet d'affiner le style \og Simple \fg des sommets.} +\begin{tabular}{llc} + \toprule +options & default & definition \\ \midrule +\TOline{Shape} {\textbackslash VertexShape }{} +\TOline{MinSize} {\textbackslash VertexSmallMinSize}{} +\TOline{LineWidth} {\textbackslash VertexLineWidth }{} +\TOline{LineColor} {\textbackslash VertexLineColor }{} +\TOline{FillColor} {\textbackslash VertexFillColor }{} \bottomrule +\end{tabular} +\end{NewMacroBox} + +\medskip +\subsection{Autre style \tkzcname{SetVertexSimple}} + +\begin{center} +\begin{tkzexample}[latex=7cm] +\begin{tikzpicture} + \SetVertexSimple[Shape=diamond, + FillColor=blue!50] + \Vertices[unit=3]{circle}{A,B,C,D,E} + \Edges(A,B,C,D,E,A,C,E,B,D) +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsection{\tkzcname{SetVertexSimple}, \tkzname{inner sep} et \tkzname{outer sep}} +\begin{center} +\begin{tkzexample}[latex=7cm] +\begin{tikzpicture} +\SetGraphUnit{3} +\SetVertexSimple[MinSize = 12pt, + LineWidth = 4pt, + LineColor = red,% + FillColor = blue!60] +\tikzset{VertexStyle/.append style = + {inner sep = 0pt,% + outer sep = 2pt}} +\Vertices{circle}{A,B,C,D,E} +\Edges(A,B,C,D,E,A,C,E,B,D) +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill +\newpage +\begin{NewMacroBox}{SetVertexNormal}{\oarg{local options}} +\begin{tabular}{llc} +Options & Défaut & Définition \\ \midrule +\TOline{color} {\textbackslash EdgeColor } {} +\TOline{label} {no default } {} +\TOline{labelstyle} {no default } {} +\TOline{labeltext} {\textbackslash LabelTextColor } {} +\TOline{labelcolor} {\textbackslash LabelFillColor } {} +\TOline{style} {no default } {} +\TOline{lw} {\textbackslash EdgeLineWidth } {} + \bottomrule +\end{tabular} + +\medskip +\emph{Macro semblable à la précédente.} +\end{NewMacroBox} + +\subsection{Autre style \tkzcname{SetVertexNormal}} +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \SetGraphUnit{3} + \SetVertexNormal[Shape = rectangle,% + LineWidth = 2pt,% + FillColor = green!50] + \Vertices{circle}{A,B,C,D,E} + \Edges(A,B,C,D,E,A,C,E,B,D) +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\vfill\newpage +\begin{NewMacroBox}{SetUpVertex}{\oarg{local options}} +\begin{tabular}{llc} +Options & Défaut & Définition \\ \midrule +\TOline{Lpos} {-90 } {position label externe } +\TOline{Ldist} {0cm } {distance du label } +\TOline{style} {{} } {permet d'affiner le style } +\TOline{NoLabel} {false} {supprime le label } +\TOline{LabelOut}{false} {Label externe } \bottomrule +\end{tabular} + +\medskip +\emph{Cette macro permet de modifier les options précédentes. } +\end{NewMacroBox} + +\subsection{\tkzcname{SetUpVertex}} + +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} + \SetGraphUnit{3} + \SetUpVertex[Lpos=-60,LabelOut] + \Vertex{A}\EA(A){B} +\end{tikzpicture} +\end{tkzexample} + + +\subsection{\tkzcname{SetUpVertex} et \tkzcname{tikzset}} + +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} +\SetGraphUnit{4} +\SetVertexLabel +\SetUpVertex[Lpos=-60,LabelOut] +\tikzset{VertexStyle/.append style = + {outer sep = .5\pgflinewidth}} +\renewcommand*{\VertexLineWidth}{6pt} +\Vertex{A}\EA(A){B}\Edge(A)(B) +\end{tikzpicture} +\end{tkzexample} + +\vfill\newpage +\section{Modification des styles des arêtes} + +\subsection{Utilisation de l'option \tkzname{style} de la macro \tkzcname{Edge}} + +\subsubsection{Exemple 1} +\begin{tkzexample}[latex=8cm, small] +\begin{tikzpicture} + \SetGraphUnit{4} + \Vertex{e} + \EA(e){f} + \Edge(f)(e) + \Edge[style={bend left}](f)(e) + \Edge[style={bend right}](f)(e) +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Exemple 2} +\begin{tkzexample}[latex=8cm, small] +\begin{tikzpicture} + \SetGraphUnit{4} + \Vertex{e} + \EA(e){f} + \Edge[style={->,bend left}](f)(e) + \Edge[style={<-,bend right}](f)(e) +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Exemple 3} +\begin{tkzexample}[latex=8cm, small] +\begin{tikzpicture} + \SetGraphUnit{4} + \Vertex{a} + \EA(a){b} + \NO(b){c} + \SetUpEdge[style={->,bend right,ultra thick}, + color=red] + \Edge(a)(b) + \Edge(b)(c) + \Edge(c)(a) +\end{tikzpicture} +\end{tkzexample} + +\newpage +\subsection{Modification des styles par défaut \tkzcname{SetUpEdge}} + +Cette macro a une action globale et permet de rédéfinir un style. + +\begin{NewMacroBox}{SetUpEdge}{\oarg{local options}} +\begin{tabular}{llc} +Options & Défaut & Définition \\ +\midrule +\TOline{lw} {-90 } {position label externe } +\TOline{color}{\textbackslash EdgeLineWidth} {position label externe } +\TOline{label} {0cm } {distance du label } +\TOline{labelstyle} {{} } {permet d'affiner le style } +\TOline{labeltext} {false} {supprime le label } +\TOline{style}{false} {Label externe } \bottomrule +\end{tabular} + +\medskip +\emph{Cette macro permet de modifier les options précédentes. } +\end{NewMacroBox} + + +\subsubsection{Utilisation de \tkzcname{SetUpEdge} Exemple 1} +\begin{center} +{ \tikzset{VertexStyle/.style = {shape = circle, + draw = black, + fill = orange, + inner sep = 2pt, + outer sep = 0.5pt, + minimum size = 6mm, + line width = 1pt}} + \tikzset{every to/.style = {line width = 2pt, + color = orange}} +\begin{tkzexample}[vbox] + \begin{tikzpicture} + \SetGraphUnit{4} \SetUpEdge[lw=3pt] + \Vertex{A} + \EA (A){B} \NO (B){C} + \SO (B){D} \EA (B){E} + \Edges(A,B,C,A,D,E,C) + \end{tikzpicture} +\end{tkzexample} +} +\end{center} + + +\subsubsection{Utilisation de \tkzcname{SetUpEdge} Exemple 2} +{ \tikzset{VertexStyle/.style = { + shape = circle, + draw = black, + fill = orange, + inner sep = 2pt, + outer sep = 1pt, + minimum size = 6mm, + line width = 2pt}} +\begin{tkzexample}[latex=7cm] +\begin{tikzpicture} + \SetGraphUnit{3} + \SetUpEdge[lw=1.5pt] + \Vertex{A} + \EA(A){B} \WE(A){C} \NO(A){D} + \SO(A){E} \NOEA(A){F} \NOWE(A){G} + \SOEA(A){H} \SOWE(A){I} + \foreach \v in {B,C,D,E,F,G,H,I}{% + \Edge(A)(\v)}; + \end{tikzpicture} +\end{tkzexample} } + +\subsection{Arête avec label \tkzname{LabelStyle}} + + +\begin{tkzexample}[latex=7cm, small] +\begin{tikzpicture} + \SetGraphUnit{4} + \tikzset{VertexStyle/.style = + {draw, + shape = circle, + shading = ball, + ball color = green!40!black, + minimum size = 24pt, + color = white}} + \tikzset{EdgeStyle/.style = + {->,bend right, + thick, + double = orange, + double distance = 1pt}} + \Vertex{a} + \EA(a){b} + \NO(b){c} + \tikzset{LabelStyle/.style = + {fill=white}} + \Edge[label=$1$](a)(b) + \Edge[label=$2$](b)(c) + \Edge[label=$3$](c)(a) +\end{tikzpicture} +\end{tkzexample} + + +\subsection{Utiliser un style intermédiaire} + +\begin{tkzltxexample}[] + \SetGraphUnit{4} + \tikzset{VertexStyle/.style = {shape = circle, + shading = ball, + ball color = Maroon!50, + minimum size = 24pt, + draw}} + \tikzset{TempEdgeStyle/.style = {ultra thick, + double = Maroon!50, + double distance = 2pt}} + \tikzset{LabelStyle/.style = {color = brown, + text=black}} +\end{tkzltxexample} + + +\begin{center} + \SetGraphUnit{4} + \tikzset{VertexStyle/.style = {shape = circle, + shading = ball, + ball color = Maroon!50, + minimum size = 24pt, + draw}} + \tikzset{TempEdgeStyle/.style = {ultra thick, + double = Maroon!50, + double distance = 2pt}} + \tikzset{LabelStyle/.style = {color = brown, + text=black}} +\begin{tkzexample}[latex=7cm, small] +\begin{tikzpicture}[scale=.8] + \Vertex{A} + \EA(A){B} \EA(B){C} + \SetGraphUnit{8} + \NO(B){D} + \tikzset{EdgeStyle/.style = {TempEdgeStyle}} + \Edge[label=1](B)(D) + \tikzset{EdgeStyle/.style = {TempEdgeStyle,bend left}} + \Edge[label=4](A)(B) \Edge[label=5](B)(A) + \Edge[label=6](B)(C) \Edge[label=7](C)(B) + \Edge[label=2](A)(D) \Edge[label=3](D)(C) +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage + +\section{Changement de couleurs dans les styles prédéfinis} +Trois macros sont proposées + +\subsection{\tkzcname{SetGraphShadeColor}} +\begin{NewMacroBox}{SetGraphShadeColor}{\var{ball color}\var{color}\var{double}} +\emph{\tkzcname{SetGraphShadeColor} permet de modifier les couleurs pour le style \tkzname{Shade}.} +\end{NewMacroBox} + +\subsubsection{Exemple} +Cet exemmple utilise une macrio de \tkzname{tkz-berge}\NamePack{tkz-berge} +\begin{center} +\begin{tkzexample}[latex=7cm] + \begin{tikzpicture} + \GraphInit[vstyle=Shade] + \SetGraphUnit{4} + \SetVertexNoLabel + \SetGraphShadeColor{red!50}{black}{red} + \Vertices{circle}{A,B,C,D,E} + \Edges(A,B,C,D,E,A,C,E,B,D) + \end{tikzpicture} +\end{tkzexample} + +\end{center} + +\newpage +\subsection{\tkzcname{SetGraphArtColor}} +\begin{NewMacroBox}{SetGraphArtColor}{\var{ball color}\var{color}} +\emph{\tkzcname{SetGraphArtColor} permet de modifier les couleurs pour le style \tkzname{Art}.} +\end{NewMacroBox} + +\subsubsection{Exemple} +\begin{center} + \begin{tkzexample}[vbox] + \begin{tikzpicture} + \SetVertexArt + \SetGraphArtColor{green!40!black}{magenta} + \SetGraphUnit{4} + \SetVertexNoLabel + \Vertices{circle}{A,B,C,D,E} + \Edges(A,B,C,D,E,A,C,E,B,D) + \end{tikzpicture} + \end{tkzexample} +\end{center} + + +\vfill\newpage +\subsection{\tkzcname{SetGraphColor}} +\begin{NewMacroBox}{SetGraphColor}{\var{fill color}\var{color}} +\emph{\tkzcname{SetGraphColor} permet de modifier les couleurs pour le style \tkzname{Normal}.} +\end{NewMacroBox} + + +\subsubsection{Exemple avec \tkzcname{SetGraphColor}} +\begin{center} + \begin{tkzexample}[vbox] + \begin{tikzpicture} + \SetGraphColor{yellow}{blue}{maagenta} + \SetGraphUnit{4} + \SetVertexNoLabel + \Vertices{circle}{A,B,C,D,E} + \Edges(A,B,C,D,E,A,C,E,B,D) + \end{tikzpicture} + \end{tkzexample} +\end{center} + + + +\newpage + +\subsection{Variation I autour des styles} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \SetVertexNormal[Shape = circle, + FillColor = orange, + LineWidth = 2pt] + \SetUpEdge[lw = 1.5pt, + color = black, + labelcolor = white, + labeltext = red, + labelstyle = {sloped,draw,text=blue}] + \Vertex[x=0 ,y=0]{K} + \Vertex[x=0 ,y=2]{F} + \Vertex[x=-1,y=4]{D} + \Vertex[x=3 ,y=7]{H} + \Vertex[x=8 ,y=5]{B} + \Vertex[x=9 ,y=2]{N} + \Vertex[x=5 ,y=0]{M} + \Vertex[x=3 ,y=1]{S} + \tikzset{EdgeStyle/.append style = {bend left}} + \Edge[label = $120$](K)(F) + \Edge[label = $650$](H)(S) + \Edge[label = $780$](H)(M) + \Edge[label = $490$](D)(B) + \Edge[label = $600$](D)(M) + \Edge[label = $580$](B)(M) + \Edge[label = $600$](H)(N) + \Edge[label = $490$](F)(H) + \tikzset{EdgeStyle/.append style = {bend right}} + \Edge[label = $630$](S)(B) + \Edge[label = $210$](S)(N) + \Edge[label = $230$](S)(M) +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\subsection{Variation II autour des styles} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \SetVertexNormal[Shape = circle, + FillColor = orange, + LineWidth = 2pt] + \SetUpEdge[lw = 1.5pt, + color = black, + labelcolor = white, + labeltext = red, + labelstyle = {sloped,draw,text=blue}] + \tikzstyle{EdgeStyle}=[bend left] + \Vertex[x=0, y=0]{G} + \Vertex[x=0, y=3]{A} + \Vertex[x=3, y=5]{P} + \Vertex[x=4, y=2]{C} + \Vertex[x=8, y=3]{Q} + \Vertex[x=7, y=0]{E} + \Vertex[x=3, y=-1]{R} + \Edges(G,A,P,Q,E) \Edges(C,A,Q) \Edges(C,R,G) \Edges(P,E,A) +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsection{Variation III autour des styles} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \GraphInit[vstyle=Shade] + \SetGraphUnit{3} + \Vertex{e} + \NOEA(e){f}\SOEA(e){d} + \SOEA(f){h}\NOWE(f){g} + \WE(g){c} \SOWE(e){a} \SOWE(c){b} + \tikzstyle{LabelStyle}=[fill=white] + \tikzstyle{EdgeStyle}=[color=red] + \Edge[label=$3$](a)(b) + \Edge[label=$11$](a)(c) + \Edge[label=$6$](a)(e) + \Edge[label=$17$](a)(d) + \Edge[style={pos=.25},label=$20$](a)(g) + \Edge[label=$5$](c)(b) + \Edge[label=$6$](c)(e) + \Edge[label=$7$](c)(g) + \Edge[label=$7$](f)(e) + \Edge[label=$3$](d)(e) + \Edge[label=$9$](d)(h) + \Edge[label=$6$](g)(e) + \Edge[style={bend left,out=45,in=135},label=$11$](g)(h) + \Edge[label=$4$](f)(h) +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsection{Variation IV autour des styles} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \SetUpEdge[lw = 1.5pt, + color = orange, + labelcolor = gray!30, + labelstyle = {draw}] + \SetGraphUnit{3} + \GraphInit[vstyle=Normal] + \Vertex{P} + \NOEA(P){B} + \SOEA(P){M} + \NOEA(B){D} + \SOEA(B){C} + \SOEA(C){L} + \tikzset{EdgeStyle/.style={->}} + \Edge[label=$3$](C)(B) + \Edge[label=$10$](D)(B) + \Edge[label=$10$](L)(M) + \Edge[label=$10$](B)(P) + \tikzset{EdgeStyle/.style={<->}} + \Edge[label=$4$](P)(M) + \Edge[label=$9$](C)(M) + \Edge[label=$4$](C)(L) + \Edge[label=$5$](C)(D) + \Edge[label=$10$](B)(M) + \tikzset{EdgeStyle/.style={<->,relative=false,in=0,out=60}} + \Edge[label=$11$](L)(D) +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsection{Variation V autour des styles} + +\begin{center} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + + \SetUpEdge[lw = 1.5pt, + color = orange, + labelcolor = white] + \GraphInit[vstyle=Normal] \SetGraphUnit{3} + \tikzset{VertexStyle/.append style={fill = red!50}} + \Vertex{P} + \NOEA(P){B} \SOEA(P){M} \NOEA(B){D} + \SOEA(B){C} \SOEA(C){L} + \tikzset{EdgeStyle/.style={->}} + \Edge[label=$3$](C)(B) + \Edge[label=$10$](D)(B) + \Edge[label=$10$](L)(M) + \Edge[label=$10$](B)(P) + \tikzset{EdgeStyle/.style={<->}} + \Edge[label=$4$](P)(M) + \Edge[label=$9$](C)(M) + \Edge[label=$4$](C)(L) + \Edge[label=$5$](C)(D) + \Edge[label=$10$](B)(M) + \tikzset{EdgeStyle/.style={<->,relative=false,in=0,out=60}} + \Edge[label=$11$](L)(D) +\end{tikzpicture} +\end{tkzexample} +\end{center} +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-vertex.tex b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-vertex.tex new file mode 100644 index 0000000000..96b316b160 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-vertex.tex @@ -0,0 +1,251 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-graph/doc-fr/TKZdoc-gr-main.tex + +% $Id$ +\section{Vertex} +% The ( < name >) is a name for later reference and it is optional. You may also add the option name=< name > +% to the < option > list; it has the same effect. +%<------------------------------------------------------------------------–> +C'est bien évidemment la macro essentielle qui permet de placer des sommets. Les sommets peuvent être placés avec un système de coordonnées rectangulaires ou bien polaires ou encore relativement les uns par rapport aux autres. Quelques dispositions particulières sont également possibles. + +\subsection{\tkzcname{Vertex}} +\begin{NewMacroBox}{Vertex}{\oarg{local options}\var{Name}} +Un sommet se caractérise par~: +\begin{itemize} +\item sa référence, +\item sa position, +\item son label, +\item et le style. +\end{itemize} + +\medskip +Un argument non vide \IargName{Vertex}{Name} est obligatoire. Cet argument définit le nom de référence du node. C'est celui que l'on doit utiliser dans toute création de sommet (\tkzcname{Vertex}) Il ne faut pas le confondre avec le \tkzname{label} (étiquette) qui sera utilisé pour l'affichage. +On peut vouloir afficher $M_1$ alors que le nom lui sera $M1$. + +\medskip +Des options sont utilisées pour définir les quatre premières caractéristiques. Les styles texte et graphique sont traités séparément. + +\medskip +\begin{tabular}{llc} +\midrule +Options & Défaut & Définition \\ +\midrule +\TOline{x} {\{\}}{abscisse} +\TOline{y} {\{\}}{ordonnée} +\TOline{a} {\{\}}{angle} +\TOline{d} {\{\}}{distance} +\TOline{Node} {false}{utilisation d'une référence déjà définie} +\TOline{position} {\{\}}{style qui permet un positionnement relatif } +\TOline{dir} {\textbackslash EA}{direction pour un positionnement relatif } +\midrule +\TOline{empty} {false}{booléen permettant de ne pas afficher le sommet} +\midrule +\TOline{NoLabel} {false}{booléen supprime le label} +\TOline{LabelOut}{false}{booléen Label extérieur au node} +\TOline{L} {\{\}}{Le label} +\TOline{Math} {false}{booléen qui affiche le label en mode math} +\TOline{Ldist} {0cm }{distance du label au node} +\TOline{Lpos} {0 }{position du label par rapport au node} +\bottomrule +\end{tabular} + +\medskip +\emph{Cette macro permet de définir un sommet qui a un nom \tkzname{name} et un label.\\ +Si \tkzname{L}$=${} alors \tkzname{label} = \tkzname{Name} sinon \tkzname{label} = \tkzname{L}.} +\end{NewMacroBox} + +\subsubsection{Utilisation de coordonnées cartésiennes} +\tkzcname{Vertex[x=\meta{number},y=\meta{number}]\var{name}}. Coordonnées cartésiennes $x$ et $y$. + +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} + \GraphInit[vstyle=Normal] + \draw[help lines] (0,0) grid (2,2); + \Vertex{A} % par défaut x = 0 et y = 0 + \Vertex[x=2 , y=0]{B} \Vertex[x=2 , y=2]{C} +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Utilisation de coordonnées polaires} + + \tkzcname{Vertex[a=\meta{number},d=\meta{number}]\var{vertex}} Les coordonnées polaires peuvent être aussi utilisées. J'ai utilisé une grille d'aide afin de constater le placement du sommet. + + +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} + \GraphInit[vstyle=Normal] + \draw[help lines] (-2,0) grid (2,2); + \draw[red] (2,0) arc (0:180: 2 cm); + \Vertex{A} + \Vertex[a=45 , d=2 cm]{B} + \Vertex[a=135 , d=2 cm]{C} +\end{tikzpicture} +\end{tkzexample} + + + + + +\subsubsection{Option \tkzname{Node} : utilisation d'une position référencée} +Cette option permet de placer un sommet sur un Node déjà défini ou bien + un objet du type \og~coordinate~\fg. + % pb taile du node pour M ?? +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} + \GraphInit[vstyle=Normal] + \draw[help lines] (0,0) grid (2,2); + \Vertex{A} \Vertex[x=2 , y=2]{B} + %\tkzActivOff nécessaire avec frenchb et babel + \tkzActivOff + \coordinate (M) at ($ (A)!.5!(B) $){}; + \tkzActivOn + \Vertex[Node]{M} +\end{tikzpicture} +\end{tkzexample} + +\vfill +%<------------------------------------------------------------------------–> +% ShortCuts +%<------------------------------------------------------------------------–> + +\newpage +\subsection{Raccourcis pour placement relatif} + +Pour effectuer des placements relatifs, il est nécessaire de définir une distance unité entre deux sommets. La macro suivante permet de définir cette distance. + +\begin{NewMacroBox}{SetGraphUnit}{\var{nombre}} +\emph{Cette macro permet de définir la distance entre deux sommets. La distance se réfère aux centres de ces sommets et le nombre est exprimé en \tkzname{cm}. Par défaut, l'unité est $1$ cm.} + +utilisation :\tkzcname{SetGraphUnit\{2\}} +\end{NewMacroBox} + +\begin{NewMacroBox}{ShortCut}{\oarg{local options}\varp{vertex A}\var{vertex B}} +Ces raccourcis permettent de créer un \tkzname{vertex B} relativement à un +\tkzname{vertex A}. La distance entre les deux sommets est déterminé par la valeur de \tkzname{unit} et par les unités de \TIKZ. Horizontalement et verticalement la distance est définie par \tkzname{unit}$\times$\tkzname{x} et +\tkzname{unit}$\times$\tkzname{y}. La valeur de \tkzname{unit} peut être redéfinie par la macro \tkzcname{SetGraphUnit} ou bien avec l'option \tkzname{unit}. Avec l'option la définition est locale; avec la macro, la définition est globale mais elle peut être locale si elle est intervient dans un goupe \TEX ou un environnement \tkzname{scope}. +Les raccourcis sont : + +\medskip +\begin{tabular}{lll} +\hline +Raccourcis & & Définition \\ +\midrule +\TMline{EA} {} {à l'est } +\TMline{WE} {} {à l'ouest} +\TMline{NO} {} {au nord} +\TMline{SO} {} {au sud} +\TMline{NOEA} {} {au nord-est soit "nord" puis "est"} +\TMline{NOWE} {} {au nord-ouest soit "nord" puis "ouest" } +\TMline{SOEA} {} {au sud-est soit "sud" puis "est"} +\TMline{SOWE} {} {au sud-ouest soit "sud" puis "ouest"} +\bottomrule +\end{tabular} + +\medskip +\emph{\tkzcname{NOEA} est un raccourci pour \tkzcname{NO}\tkzcname{EA}. par défaut, la distance entre les sommets avec ce raccourci est $\sqrt{2}\times$ \tkzname{unit}=$\sqrt{2}$. Les options sont celles de la macro \tkzcname{Vertex}. } +\end{NewMacroBox} + +Nous allons d'abord modifier la distance entre deux noeuds d'une façon générale avec \tkzcname{SetGraphUnit\{2\}} sinon par défaut \tkzname{unit =1}. + +\subsubsection{Utilisation des raccourcis avec les valeurs par défaut} +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} + \draw[help lines] (-1,-1) grid (1,1); + \GraphInit[vstyle=Normal] + \Vertex{A} + \EA(A){B} \WE(A){C} \NO(A){D} \SO(A){E} + \NOEA(A){F} \NOWE(A){G} \SOEA(A){H} \SOWE(A){I} + \foreach \v in {B,C,D,E,F,G,H,I}{\Edge(A)(\v)}; +\end{tikzpicture} +\end{tkzexample} + + +\subsubsection{Modification de l'unité avec \tkzcname{SetGraphUnit }} +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} + \draw[help lines] (-2,-2) grid (2,2); + \SetGraphUnit{2} + \GraphInit[vstyle=Normal] + \Vertex{A} + \EA(A){B} \WE(A){C} \NO(A){D} \SO(A){E} + \NOEA(A){F} \NOWE(A){G} \SOEA(A){H} \SOWE(A){I} + \foreach \v in {B,C,D,E,F,G,H,I}{\Edge(A)(\v)}; +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Modification des unités de \TIKZ\ : \tkzname{x=2 cm,y=1 cm} } +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture}[x=2 cm,y=1 cm] + \draw[help lines] (-1,-1) grid (1,1); + \GraphInit[vstyle=Normal] + \Vertex{A} + \EA(A){B} \WE(A){C} \NO(A){D} \SO(A){E} + \NOEA(A){F} \NOWE(A){G} \SOEA(A){H} \SOWE(A){I} + \foreach \v in {B,C,D,E,F,G,H,I}{\Edge(A)(\v)}; +\end{tikzpicture} +\end{tkzexample} + + +\subsubsection{Exemple classique} +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} + \draw[help lines] (-2,-2) grid (4,2); + \SetGraphUnit{2} + \coordinate (O) at (0,0); + \NOEA(O){A} \NOWE(O){B} \SOEA(O){D} + \SOWE(O){C} \NOEA(D){E} + \Edges(B,C,D,A,E,D,B,A,C) +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Autre exemple classique} +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} + \draw[help lines] (0,-2) grid (4,2); + \SetGraphUnit{2} + \GraphInit[vstyle=Normal] + \Vertex{A} + \EA(A){B} \NO(B){C} \SO(B){D} \EA(B){E} + \Edges(A,B,C,A,D,E,C) +\end{tikzpicture} +\end{tkzexample} + + +\subsubsection{Modication locale de \tkzname{unit} avec l'option} +Le plus simple : +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} + \draw[help lines] (0,0) grid (2,3); + \SetGraphUnit{2} + \Vertex{A} \EA(A){B} + \NO[unit=3](B){C} + \NO(A){D} +\end{tikzpicture} +\end{tkzexample} + + +\subsubsection{Modication locale de \tkzname{unit} avec l'environnement \tkzname{scope}} +\begin{tkzexample}[latex=7cm,small] + \begin{tikzpicture} + \draw[help lines] (0,0) grid (2,3); + \SetGraphUnit{2} + \Vertex{A} \EA(A){B} + \begin{scope} + \SetGraphUnit{3} \NO(B){C} + \end{scope} + \NO(A){D} +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Modication locale de \tkzname{unit} avec un groupe \TEX} +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} + \draw[help lines] (0,0) grid (2,3); + \SetGraphUnit{2} + \Vertex{A} \EA(A){B} + {\SetGraphUnit{3} \NO(B){C}} + \NO(A){D} +\end{tikzpicture} +\end{tkzexample} + +\endinput + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-vertices.tex b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-vertices.tex new file mode 100644 index 0000000000..ccffe49142 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/TKZdoc-gr-vertices.tex @@ -0,0 +1,183 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-graph/doc-fr/TKZdoc-gr-main.tex +% $Id$ + +%<---------------------------------------------------------------------------> +% Vertices +%<---------------------------------------------------------------------------> + +\section{Placement de sommets sur une forme géométrique} +Il s'agit ici de placer un groupe de sommets suivant une direction donnée ou bien encore suivant une forme prédéfinie. Les sommets sont placés avec comme support une figure géométrique simple. La macro principale utilise une direction définie à l'aide de l'option dir, la version étoilée une forme particulière triangulaire, carrée etc... + + +\begin{NewMacroBox}{Vertices}{\oarg{local options}\var{type}\var{List of vertices}} +\emph{Il y a donc plusieurs types de formes géométriques, droite, triangle, carrés et cercles. La macro \tkzcname{SetGraphUnit} permet de modifier les longueurs. Pour les sommets alignés, ceux-ci sont placés suivant une direction donnée par |EA|, |WE|, |NO|, |SO|, |NOEA|, |NOWE|, |SOEA|, |SOWE|.} + +\medskip +\begin{tabular}{llc} + \toprule +Premier Argument & & Définition \\ +\midrule +\TAline{line } {} {Sommets alignés, une option détermine la direction} +\TAline{tr1 } {} {première forme de triangle} +\TAline{tr2 } {} {deuxième forme de triangle} +\TAline{tr3 } {} {troisième forme de triangle} +\TAline{tr4 } {} {quatrième forme de triangle} +\TAline{square} {} {quatre sommets sur un carré} +\TAline{circle} {} {sommets sur une cercle} +\bottomrule +\end{tabular} + +\medskip +\emph{Le second argument est une liste de noms pour les sommets.} + +\medskip +\begin{tabular}{llc} +\midrule +Options & Défaut & Définition \\ +\midrule +\TOline{dir} {EA} {permet de placer plusieurs sommets alignés} +\bottomrule +\end{tabular} + +\medskip +\emph{Les options sont celles d'un sommet (Vertex).} +\end{NewMacroBox} + + + +\subsection{\tkzcname{Vertices} à partir d'un sommet défini par des coordonnnées} + + +\begin{center} +\begin{tkzexample}[latex=7cm, ,small] +\begin{tikzpicture} + \SetGraphUnit{2} + \draw[help lines] (0,0) grid (5,2); + \Vertices[x=1,y=2]{line}{A,B,C} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsection{\tkzcname{Vertices} à partir d'une position donnée.} + +\begin{center} +\begin{tkzexample}[latex=7cm, ,small] +\begin{tikzpicture}[rotate=45] + \SetGraphUnit{2} + \draw[help lines] (0,0) grid (5,2); + \coordinate (A) at (1,1); + \Vertices[Node]{line}{A,B,C} +\end{tikzpicture} +\end{tkzexample} +\end{center} + +\subsection{Exemples avec une direction } + Il s'agit ici de placer une liste de sommets suivant une direction donnée, cette direction est définie à l'aide de l'option \tkzname{dir}. + + +\begin{center} +\begin{tkzexample}[latex=7cm, ,small] +\begin{tikzpicture} + \GraphInit[vstyle=Art] + \Vertices[dir=\NOEA]{line}{A,B,C,D} + \Vertices[dir=\NOWE]{line}{A,E,F,G} +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\subsection{Placement sur un triangle } + +Il y a différentes possibilités avec une forme triangulaire, mais les triangles sont isocèles rectangles. Voici dans l'ordre les formes \tkzname{tr1}, \tkzname{tr2} , \tkzname{tr3} et \tkzname{tr4} + + +\begin{tkzexample}[latex=8cm,small] +\begin{tikzpicture}\SetGraphUnit{2} + \Vertices{tr1}{A,B,C} +\end{tikzpicture}\hspace*{2cm} +\begin{tikzpicture}\SetGraphUnit{2} + \Vertices{tr2}{A,B,C} +\end{tikzpicture} +\end{tkzexample} + +\begin{tkzexample}[latex=8cm,small] +\begin{tikzpicture}\SetGraphUnit{2} + \Vertices{tr3}{A,B,C} +\end{tikzpicture}\hspace*{2cm} +\begin{tikzpicture}\SetGraphUnit{2} + \Vertices{tr4}{A,B,C} +\end{tikzpicture} +\end{tkzexample} + + +\subsection{Utilisation d'un carré} + + +Deux autres possibilités de placer un node. La première utilise un node obtenu à l'aide d'une intersection (voir le pgfmanual). Dans la première, j'ai redéfini la distance unité entre deux sommets à l'aide de \tkzcname{SetGraphUnit}. + +\begin{center} +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} + \SetGraphUnit{3} + \GraphInit[vstyle=Shade] + \Vertices{square}{A,B,C,D} + \coordinate (E) at (intersection of A--C and B--D); + \Vertex[Node]{E}% voir option node +\end{tikzpicture} +\end{tkzexample} +\end{center} + + +\subsection{Utilisation d'un cercle } + +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} + \SetGraphUnit{2} + \Vertices{circle}{A,B,C,D} +\end{tikzpicture} +\end{tkzexample} + + +\subsection{Utilisation d'un cercle et positionnement des labels } + +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} \SetGraphUnit{2} + \GraphInit[vstyle=Classic] + \Vertices{circle}{A,B,C,D,E,F} +\end{tikzpicture} +\end{tkzexample} + + + +\subsection{Rotation et labels externes } + +|Lpos| = \tkzname{angle de la rotation}. Cela permet de faire une rotation du label autour du centre de chaque sommet et de suivre la rotation du graphe. Il suffit pour comprendre cette option de compiler l'exemple en l'omettant. + + +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture}[rotate=90] + \GraphInit[vstyle=Classic] + \Vertices[Lpos=90,unit=2]{circle}{A,B,C,D,E,F} +\end{tikzpicture} +\end{tkzexample} + + +\subsection{Placement sur un cercle } + +Avec des labels externes, il faut procéder avec précaution. + +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture}[scale=.5] + \SetGraphUnit{4} + \GraphInit[vstyle=Classic] + \begin{scope}[rotate=45] + \Vertices[Lpos=45]{circle}{C,E,A,B} + \end{scope} + \NOEA[Lpos=90,unit=2.828](E){D} + \Edges(A,B,E,D,C,E,A,C,B) +\end{tikzpicture} +\end{tkzexample} + + + +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/graph.ist b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/graph.ist new file mode 100644 index 0000000000..4c87f0fe9c --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/latex/graph.ist @@ -0,0 +1,6 @@ +heading_prefix "{\\bfseries\\hfil " +heading_suffix "\\hfil}\\nopagebreak\n" +headings_flag 1 +delim_0 "\\dotfill" +delim_1 "\\dotfill" +delim_2 "\\dotfill"
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/tkz-graph-screen.pdf b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/tkz-graph-screen.pdf Binary files differnew file mode 100644 index 0000000000..0fef4a6150 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-graph/doc/tkz-graph-screen.pdf diff --git a/obsolete/macros/latex/contrib/tkz/tkz-graph/latex/tkz-graph.sty b/obsolete/macros/latex/contrib/tkz/tkz-graph/latex/tkz-graph.sty new file mode 100644 index 0000000000..645a947aaa --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-graph/latex/tkz-graph.sty @@ -0,0 +1,1028 @@ + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % % + % tk-graphes.sty encodage : utf8 % + % % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % % + % Créé par Alain Matthes le 22-02-2011. % + % contribution : Rafael Villarroel (RV) % + % % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%<---------------------------------------------------------------------------> +% Objet : Création de graphes +%<---------------------------------------------------------------------------> +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{tkz-graph}[2018/09/19 ctan v 1.00 d base for graphs] +%<---------------------------------------------------------------------------> +\ifx\e@alloc\@undefined + \RequirePackage{etex} +\fi +\RequirePackage{ifthen} +\RequirePackage{xkeyval}[2005/11/25] +\RequirePackage{tikz} +\usetikzlibrary{arrows} +%<---------------------------------------------------------------------------> +% todo remove some counters +\newcounter{tkz@gr@a} +\newcounter{tkz@gr@b} +\newcounter{tkz@gr@c} +\newcounter{tkz@gr@e} +\newcounter{tkz@gr@d} +\newcounter{tkz@gr@p} +\newcounter{tkz@gr@i} +\newcounter{tkz@gr@n} +\newcounter{tkz@gr@ta} +\newcounter{tkz@gr@tb} +%<---------------------------------------------------------------------------> +% Init vertex +%<---------------------------------------------------------------------------> +\global\def\tkzActivOff{% +\edef\tkzTwoPtCode{\the\catcode`\:} +\edef\tkzPtExCode{\the\catcode`\!} +\edef\tkzPtVirCode{\the\catcode`\;} +\catcode`\:=12 \catcode`\!=12 \catcode`\;=12}% +\global\def\tkzActivOn{% +\catcode`\:=\tkzTwoPtCode\relax +\catcode`\!=\tkzPtExCode\relax +\catcode`\;=\tkzPtVirCode\relax +}% +%<---------------------------------------------------------------------------> +\def\tkz@gr@background@color{white} +\def\tkz@gr@text@color{black} +\global\edef\tkz@suc@bkc{\tkz@gr@background@color} +\global\edef\tkz@suc@txt{\tkz@gr@text@color} +\pgfkeys{ +/tkzsupcol/.cd, + background/.code = {\global\edef\tkz@suc@bkc{#1}}, + text/.code = {\global\edef\tkz@suc@txt{#1}}, +} +\def\tkzSetUpColors{\pgfutil@ifnextchar[{\tkz@SetUpColors}{\tkz@SetUpColors[]}} +\def\tkz@SetUpColors[#1]{% +\begingroup +\pgfkeys{% +tkzsupcol/.cd, + background = \tkz@gr@background@color, + text = \tkz@gr@text@color + } +\pgfqkeys{/tkzsupcol}{#1} +\pagecolor{\tkz@suc@bkc} +\color{\tkz@suc@txt} +\endgroup +} + +\newcommand*{\GraphUnit}{1} +\newcommand*{\VertexInnerSep}{2pt} +\newcommand*{\VertexOuterSep}{0pt} +\newcommand*{\VertexDistance}{3cm} +\newcommand*{\VertexShape}{circle} +\newcommand*{\VertexLineWidth}{0.5pt} +\newcommand*{\VertexLineColor}{\tkz@suc@txt} +\newcommand*{\VertexLightFillColor}{\tkz@suc@bkc} +\newcommand*{\VertexDarkFillColor}{\tkz@suc@txt} +\newcommand*{\VertexTextColor}{\tkz@suc@txt} +\newcommand*{\VertexFillColor}{\tkz@suc@txt} +\newcommand*{\VertexBallColor}{orange} +\newcommand*{\VertexBigMinSize}{24pt} +\newcommand*{\VertexInterMinSize}{18pt} +\newcommand*{\VertexSmallMinSize}{12pt} +\newcommand*{\EdgeFillColor}{orange} +\newcommand*{\EdgeArtColor}{orange} +\newcommand*{\EdgeColor}{\tkz@suc@txt} +\newcommand*{\EdgeDoubleDistance}{1pt} +\newcommand*{\EdgeLineWidth}{0.8pt} +\newcommand*{\LabelTextColor}{\tkz@suc@txt} +\newcommand*{\LabelFillColor}{\tkz@suc@bkc} + +\tikzset{pre/.style={<-,shorten <=1pt,>=stealth',semithick}} +\tikzset{post/.style={->,shorten <=1pt,>=stealth',semithick}} +%<---------------------------------------------------------------------------> +% Simple Vertex +%<---------------------------------------------------------------------------> +\define@cmdkey [GR] {SVS} {Shape}{} +\define@cmdkey [GR] {SVS} {MinSize}{} +\define@cmdkey [GR] {SVS} {LineWidth}{} +\define@cmdkey [GR] {SVS} {LineColor}{} +\define@cmdkey [GR] {SVS} {FillColor}{} +\define@cmdkey [GR] {SVS} {InnerSep}{} +\define@cmdkey [GR] {SVS} {OuterSep}{} +\presetkeys [GR] {SVS} {Shape = \VertexShape, + MinSize = \VertexSmallMinSize, + LineWidth = \VertexLineWidth, + LineColor = \VertexLineColor, + InnerSep = \VertexInnerSep, + OuterSep = \VertexOuterSep, + FillColor = \VertexFillColor}{} +\newcommand*{\SetVertexSimple}[1][]{\GR@SetVertexSimple[#1]}% +\def\GR@SetVertexSimple[#1]{% +\setkeys[GR]{SVS}{#1}% +\presetkeys[GR]{vertex}{NoLabel = true}{}% +\tikzset{VertexStyle/.style = {draw, + shape = \cmdGR@SVS@Shape, + color = \cmdGR@SVS@LineColor, + fill = \cmdGR@SVS@FillColor, + inner sep = \cmdGR@SVS@InnerSep, + outer sep = \cmdGR@SVS@OuterSep, + minimum size = \cmdGR@SVS@MinSize, + line width = \cmdGR@SVS@LineWidth}} +\tikzset{EdgeStyle/.style = {line width = \EdgeLineWidth, + \EdgeColor}} +\tikzset{LabelStyle/.style={}}} +%<---------------------------------------------------------------------------> +% Shade Vertex +%<---------------------------------------------------------------------------> +\define@cmdkey [GR] {shade} {Shape}{} +\define@cmdkey [GR] {shade} {MinSize}{} +\define@cmdkey [GR] {shade} {LineWidth}{} +\define@cmdkey [GR] {shade} {LineColor}{} +\define@cmdkey [GR] {shade} {BallColor}{} +\define@cmdkey [GR] {shade} {InnerSep}{} +\define@cmdkey [GR] {shade} {OuterSep}{} +\presetkeys [GR] {shade} {Shape = \VertexShape, + MinSize = \VertexBigMinSize, + LineWidth = \VertexLineWidth, + LineColor = \VertexLineColor, + InnerSep = \VertexInnerSep, + OuterSep = \VertexOuterSep, + BallColor = \VertexBallColor}{} +\newcommand*{\SetVertexShade}[1][]{\GR@SetVertexShade[#1]}% +\def\GR@SetVertexShade[#1]{% +\setkeys[GR]{shade}{#1}% +\presetkeys[GR]{vertex}{NoLabel = false}{}% +\tikzset{VertexStyle/.style = {draw, + shape = \cmdGR@shade@Shape, + ball color = \cmdGR@shade@BallColor, + inner sep = \cmdGR@shade@InnerSep, + outer sep = \cmdGR@shade@OuterSep, + minimum size = \cmdGR@shade@MinSize, + line width = \VertexLineWidth}} +\tikzset{EdgeStyle/.style = {line width = \EdgeLineWidth, + \EdgeColor,% color outside + double = \EdgeFillColor,% inside + double distance = \EdgeDoubleDistance}}% +\tikzset{LabelStyle/.style={}}} +%<---------------------------------------------------------------------------> +% Art Vertex +%<---------------------------------------------------------------------------> +\define@cmdkey [GR] {art} {Shape}{} +\define@cmdkey [GR] {art} {MinSize}{} +\define@cmdkey [GR] {art} {LineWidth}{} +\define@cmdkey [GR] {art} {LineColor}{} +\define@cmdkey [GR] {art} {BallColor}{} +\define@cmdkey [GR] {art} {InnerSep}{} +\define@cmdkey [GR] {art} {OuterSep}{} +\presetkeys [GR] {art} {Shape = \VertexShape, + MinSize = \VertexSmallMinSize, + LineWidth = \VertexLineWidth, + LineColor = \VertexLineColor, + InnerSep = \VertexInnerSep, + OuterSep = \VertexOuterSep, + BallColor = \VertexBallColor}{} +\newcommand*{\SetVertexArt}[1][]{\GR@SetVertexArt[#1]}% +\def\GR@SetVertexArt[#1]{% +\setkeys[GR]{art}{#1}% +\presetkeys[GR]{vertex}{NoLabel = true}{}% +\tikzset{VertexStyle/.style = {draw, + shape = \cmdGR@art@Shape, + ball color = \cmdGR@art@BallColor, + inner sep = \cmdGR@art@InnerSep, + outer sep = \cmdGR@art@OuterSep, + minimum size = \cmdGR@art@MinSize, + line width = \VertexLineWidth}} +\tikzset{EdgeStyle/.style = {line width = \EdgeLineWidth, + \EdgeArtColor}} +\tikzset{LabelStyle/.style = {}}} +%<---------------------------------------------------------------------------> +% Normal Vertex +%<---------------------------------------------------------------------------> +\define@cmdkey [GR] {SVN} {Shape}{} +\define@cmdkey [GR] {SVN} {MinSize}{} +\define@cmdkey [GR] {SVN} {LineWidth}{} +\define@cmdkey [GR] {SVN} {LineColor}{} +\define@cmdkey [GR] {SVN} {FillColor}{} +\define@cmdkey [GR] {SVN} {TextColor}{} +\define@cmdkey [GR] {SVN} {InnerSep}{} +\define@cmdkey [GR] {SVN} {OuterSep}{} +\presetkeys [GR] {SVN} {Shape = \VertexShape, + MinSize = \VertexInterMinSize, + LineWidth = \VertexLineWidth, + LineColor = \VertexLineColor, + FillColor = \VertexLightFillColor, + InnerSep = \VertexInnerSep, + OuterSep = \VertexOuterSep, + TextColor = \VertexTextColor}{} +\newcommand*{\SetVertexNormal}[1][]{\GR@SetVertexNormal[#1]}% +\def\GR@SetVertexNormal[#1]{% +\setkeys[GR]{SVN}{#1}% +\tikzset{VertexStyle/.style = {shape = \cmdGR@SVN@Shape, + minimum size = \cmdGR@SVN@MinSize, + line width = \cmdGR@SVN@LineWidth, + color = \cmdGR@SVN@LineColor, + fill = \cmdGR@SVN@FillColor, + text = \cmdGR@SVN@TextColor, + inner sep = \cmdGR@SVN@InnerSep, + outer sep = \cmdGR@SVN@OuterSep, + draw}} +\tikzset{EdgeStyle/.style = {line width = \EdgeLineWidth, + \EdgeColor}} +\tikzset{LabelStyle/.style={}}} +\SetVertexNormal% default +%<---------------------------------------------------------------------------> +\define@cmdkey [GR] {init} {unit}{} +\define@choicekey*[GR]{init}{vstyle}[\val\nr]{Empty,% + Hasse,% + Simple,% + Classic,% + Normal,% + Shade,% + Dijkstra,% + Welsh,% + Art,% + Shade Art}{% +\edef\GR@init@vstyle{\nr} +\ifcase\nr\relax +% Empty +\presetkeys [GR] {vertex} {LabelOut = false}{}% +\tikzset{VertexStyle/.style = {shape = \VertexShape, + color = \VertexLineColor, + fill = \VertexLightFillColor, + inner sep = \VertexInnerSep, + outer sep = 0.5\pgflinewidth, + text = \VertexTextColor, + minimum size = \VertexSmallMinSize, + line width = \VertexLineWidth}} +\tikzset{EdgeStyle/.style = {line width = \EdgeLineWidth,\EdgeColor}} +\tikzset{LabelStyle/.style={}} +\or +% Hasse +\presetkeys [GR] {vertex} {NoLabel = true}{}% +\tikzset{VertexStyle/.style = {draw, + shape = \VertexShape, + color = \VertexLineColor, + fill = \VertexLightFillColor, + inner sep = \VertexInnerSep, + outer sep = 0.5\pgflinewidth, + text = \VertexTextColor, + minimum size = \VertexSmallMinSize, + line width = \VertexLineWidth}} +\tikzset{EdgeStyle/.style = {line width = \EdgeLineWidth, + \EdgeColor}} +\tikzset{LabelStyle/.style={}} +\or +% Simple +\presetkeys [GR] {vertex} {NoLabel = true}{}% +\tikzset{VertexStyle/.style = {draw, + shape = \VertexShape, + color = \VertexLineColor, + fill = \VertexDarkFillColor, + inner sep = \VertexInnerSep, + outer sep = 0.5\pgflinewidth, + text = \VertexTextColor, + minimum size = \VertexSmallMinSize, + line width = \VertexLineWidth}} +\tikzset{EdgeStyle/.style = {line width = \EdgeLineWidth, + \EdgeColor}} +\tikzset{LabelStyle/.style={}} +% Classic +\or +\presetkeys [GR] {vertex} {LabelOut = true}{}% +\tikzset{VertexStyle/.style = {draw, + shape = \VertexShape, + color = \VertexLineColor, + fill = \VertexDarkFillColor, + inner sep = \VertexInnerSep, + outer sep = 0.5\pgflinewidth, + text = \VertexTextColor, + minimum size = \VertexSmallMinSize, + line width = \VertexLineWidth}} +\tikzset{EdgeStyle/.style = {line width = \EdgeLineWidth, + \EdgeColor}} +\tikzset{LabelStyle/.style={}} +% Normal +\or +\presetkeys [GR] {vertex} {LabelOut = false}{}% +\tikzset{VertexStyle/.style = {draw, + shape = \VertexShape, + minimum size = \VertexInterMinSize, + line width = \VertexLineWidth, + color = \VertexLineColor, + outer sep = 0.5\pgflinewidth, + fill = \VertexLightFillColor, + text = \VertexTextColor, + line width = \VertexLineWidth}} +\tikzset{EdgeStyle/.style = {line width = \EdgeLineWidth, + \EdgeColor}} +\tikzset{LabelStyle/.style={}} +% Shade +\or +\presetkeys [GR] {vertex} {LabelOut = false}{}% +\tikzset{VertexStyle/.style = {draw, + shape = \VertexShape, + ball color = \VertexBallColor, + color = \VertexLineColor, + text = \VertexTextColor, + inner sep = \VertexInnerSep, + outer sep = \VertexOuterSep, + minimum size = \VertexBigMinSize, + line width = \VertexLineWidth}} +\tikzset{EdgeStyle/.style = {line width = \EdgeLineWidth, + \EdgeColor,% color outside + double = \EdgeFillColor,% inside + double distance = \EdgeDoubleDistance}}% +\tikzset{LabelStyle/.style={}} +% Dijkstra +\or +\presetkeys [GR] {vertex} {LabelOut = false}{}% +\tikzset{VertexStyle/.style = {draw, + shape = \VertexShape, + color = \VertexLineColor, + fill = \VertexLightFillColor, + inner sep = \VertexInnerSep, + outer sep = 0.5\pgflinewidth, + text = \VertexTextColor, + minimum size = \VertexInterMinSize, + line width = \VertexLineWidth}} +\tikzset{EdgeStyle/.style = {line width = \EdgeLineWidth, + \EdgeColor}} +\tikzset{LabelStyle/.style={}} +% Welsh +\or +\presetkeys [GR] {vertex} {LabelOut = true}{}% +\tikzset{VertexStyle/.style = {draw, + shape = \VertexShape, + color = \VertexLineColor, + fill = \VertexLightFillColor, + inner sep = \VertexInnerSep, + outer sep = \VertexOuterSep, + text = \VertexTextColor, + minimum size = \VertexSmallMinSize, + line width = \VertexLineWidth}} +\tikzset{EdgeStyle/.style = {line width = \EdgeLineWidth, + \EdgeColor}}% +\tikzset{LabelStyle/.style={}} +% Art +\or +\presetkeys [GR] {vertex} {NoLabel = true}{}% +\tikzset{VertexStyle/.style = {shape = \VertexShape, + ball color = \VertexBallColor, + color = \VertexLineColor, + inner sep = \VertexInnerSep, + outer sep = \VertexOuterSep, + minimum size = \VertexSmallMinSize, + line width = \VertexLineWidth}}% +\tikzset{EdgeStyle/.style = {line width = \EdgeLineWidth, + \EdgeArtColor}} +\tikzset{LabelStyle/.style = {}} +% ShadeArt +\or +\presetkeys [GR] {vertex} {NoLabel = true}{}% +\tikzset{VertexStyle/.style = {shape = \VertexShape, + ball color = \VertexBallColor, + inner sep = \VertexInnerSep, + outer sep = \VertexOuterSep, + minimum size = \VertexSmallMinSize, + line width = \VertexLineWidth}} +\tikzset{EdgeStyle/.style = {line width = \EdgeLineWidth, + \EdgeColor, + double = \EdgeFillColor, + double distance = .5\EdgeDoubleDistance}} +\tikzset{LabelStyle/.style = {}} +\fi% +} + +\presetkeys [GR] {init} {vstyle = Normal,% + unit = \GraphUnit}{} + +\newcommand*{\SetGraphUnit}[1]{\renewcommand{\GraphUnit}{#1}}% + +\newcommand*{\GraphInit}[1][]{\setkeys[GR]{init}{#1}% +\edef\GraphUnit{\cmdGR@init@unit}% +}% +%<---------------------------------------------------------------------------> +% Colors +%<---------------------------------------------------------------------------> +\newcommand*{\SetGraphShadeColor}[3]{% + \tikzset{VertexStyle/.append style = {ball color=#1}} + \tikzset{EdgeStyle/.append style = {color=#2,double=#3}} +} +\newcommand*{\SetGraphArtColor}[2]{% + \tikzset{VertexStyle/.append style = {ball color=#1}} + \tikzset{EdgeStyle/.append style = {color=#2}} +} +\newcommand*{\SetGraphColor}[2]{% + \tikzset{VertexStyle/.append style = {fill=#1}} + \tikzset{EdgeStyle/.append style = {color=#2}} +} +\newcommand*{\AddVertexColor}[2]{% +\begingroup + \tikzset{VertexStyle/.append style = {fill=#1}} + \foreach \v in {#2} + {\Vertex[Node,NoLabel]{\v}} +\endgroup +} +%<---------------------------------------------------------------------------> +\newcommand*{\SetVertexNoLabel}{% + \presetkeys [GR] {vertex} {NoLabel = true}{}% +} +% add RV +\newcommand*{\SetVertexLabel}{% + \presetkeys [GR] {vertex} {NoLabel = false}{}% +} +%<---------------------------------------------------------------------------> +\newcommand*{\SetVertexLabelOut}{% + \presetkeys [GR] {vertex} {LabelOut = true}{}% +} +\newcommand*{\SetVertexLabelIn}{% + \presetkeys [GR] {vertex} {LabelOut = false}{}% +} +\newcommand*{\SetVertexMath}{% + \presetkeys [GR] {vertex} {Math = true}{}% + \presetkeys [GR] {cl} {Math = true}{}% +} +\newcommand*{\SetVertexNoMath}{% + \presetkeys [GR] {vertex} {Math = false}{}% + \presetkeys [GR] {cl} {Math = false}{}% +} +%<---------------------------------------------------------------------------> +% Init SetUpVertex +%<---------------------------------------------------------------------------> +\define@cmdkey [GR] {SUV} {Lpos}{} +\define@cmdkey [GR] {SUV} {Ldist}{} +\define@cmdkey [GR] {SUV} {Style}{} +\define@cmdkey [GR] {SUV} {MinSize}{} +\define@cmdkey [GR] {SUV} {LineWidth}{} +\define@cmdkey [GR] {SUV} {TextColor}{} +\define@cmdkey [GR] {SUV} {LineColor}{} +\define@cmdkey [GR] {SUV} {FillColor}{} +\define@cmdkey [GR] {SUV} {InnerSep}{} +\define@cmdkey [GR] {SUV} {OuterSep}{} +\define@cmdkey [GR] {SUV} {Unit}{} +\define@boolkey [GR] {SUV} {NoLabel} [true]{} +\define@boolkey [GR] {SUV} {LabelOut}[true]{} +\define@boolkey [GR] {SUV} {Math}[true]{} +\presetkeys [GR] {SUV} {Ldist = 0cm, + Lpos = 0, + Style = {}, + LabelOut = false, + NoLabel = false, + Math = false, + Unit = \GraphUnit, + MinSize = \VertexInterMinSize, + TextColor = \VertexTextColor, + LineColor = \VertexLineColor, + FillColor = \VertexLightFillColor, + LineWidth = \VertexLineWidth, + InnerSep = \VertexInnerSep, + OuterSep = \VertexOuterSep}{} +%<---------------------------------------------------------------------------> +% SetUpVertex +%<---------------------------------------------------------------------------> +\newcommand*{\SetUpVertex}[1][]{\GR@SetUpVertex[#1]}% +\def\GR@SetUpVertex[#1]{% +\setkeys[GR]{SUV}{#1}% +\presetkeys [GR] {vertex} {Lpos = \cmdGR@SUV@Lpos, + Ldist = \cmdGR@SUV@Ldist, + style = \cmdGR@SUV@Style, + unit = \cmdGR@SUV@Unit}{}% +\tikzset{VertexStyle/.append style = {inner sep = \cmdGR@SUV@InnerSep, + outer sep = \cmdGR@SUV@OuterSep, + minimum size = \cmdGR@SUV@MinSize, + text = \cmdGR@SUV@TextColor, + color = \cmdGR@SUV@LineColor, + fill = \cmdGR@SUV@FillColor, + line width = \cmdGR@SUV@LineWidth}} +\ifGR@SUV@NoLabel% + \presetkeys [GR] {vertex} {NoLabel = true}{}% +\fi% +\ifGR@SUV@LabelOut% + \presetkeys [GR] {vertex} {LabelOut = true}{}% +\fi% +\ifGR@SUV@Math% + \presetkeys [GR] {vertex} {Math = true}{}% +\fi% +} +%<---------------------------------------------------------------------------> +% Init Vertex +%<---------------------------------------------------------------------------> +\define@boolkey [GR] {vertex} {empty}[true]{} +\define@cmdkey [GR] {vertex} {unit}{} +\define@cmdkey [GR] {vertex} {x}{} +\define@cmdkey [GR] {vertex} {y}{} +\define@cmdkey [GR] {vertex} {a}{} +\define@cmdkey [GR] {vertex} {d}{} +\define@boolkey [GR] {vertex} {Node}[true]{} +\define@cmdkey [GR] {vertex} {dir}{} +\define@cmdkey [GR] {vertex} {style}{} +\define@cmdkey [GR] {vertex} {position}{} +\define@cmdkey [GR] {vertex} {L}{} +\define@cmdkey [GR] {vertex} {Lpos}{} +\define@cmdkey [GR] {vertex} {Ldist}{} +\define@boolkey [GR] {vertex} {NoLabel}[true]{} +\define@boolkey [GR] {vertex} {Math}[true]{} +\define@boolkey [GR] {vertex} {LabelOut}[true]{} +\presetkeys [GR] {vertex} {Node = false, + NoLabel = false, + LabelOut = false, + empty = false, + Math = false, + x = {}, + y = {}, + a = {}, + d = {}, + unit = \GraphUnit, + dir = \EA, + position = {}, + style = {}, + L = {}, + Ldist = 0cm, + Lpos = 0}{} +%<---------------------------------------------------------------------------> +% Vertex +%<---------------------------------------------------------------------------> +\newcommand*{\Vertex}[1][]{\@vertex[#1]}% +\def\@vertex[#1]#2{% + \setkeys[GR]{vertex}{#1}% + \@@vertex{#2}% +} +% coord rect todo coord polar and pos relative +\def\@@vertex#1{% + \def\nstyle{VertexStyle} +%<---------------------------------------------------------------------------> +\ifGR@vertex@Node% + \pgfextractx{\pgf@x}{\pgfpointanchor{#1}{center}} + \pgfextracty{\pgf@y}{\pgfpointanchor{#1}{center}} + \edef\cmdGR@vertex@x{\pgf@x} + \edef\cmdGR@vertex@y{\pgf@y} +\fi% +%<---------------------------------------------------------------------------> +\ifGR@vertex@empty% + \begin{scope} + \ifthenelse{\not\equal{\cmdGR@vertex@x}{}}{% + \protected@edef\@tempa{% + \noexpand\node[inner sep = 0pt](#1)% + at (\cmdGR@vertex@x,\cmdGR@vertex@y){}}% + \@tempa;}{% + \ifthenelse{\not\equal{\cmdGR@vertex@d}{}}{% + \protected@edef\@tempa{% + \noexpand\node[inner sep = 0pt](#1)% + at (\cmdGR@vertex@a:\cmdGR@vertex@d){}}% + \@tempa;}{% + \protected@edef\@tempa{% + \noexpand \node[inner sep = 0pt](#1)% + [\cmdGR@vertex@position]{}}% + \@tempa;}}% + \end{scope} +\else + \begin{scope}[label distance = \cmdGR@vertex@Ldist] + \ifGR@vertex@NoLabel + \def\vertex@Label{}% + \def\cmdGR@vertex@L{}% + \def\vertex@Name{} + \else% + \ifGR@vertex@Math + \ifthenelse{\equal{\cmdGR@vertex@L}{}}{% + \def\vertex@Name{$#1$}}{\def\vertex@Name{$\cmdGR@vertex@L$}} + \else + \ifthenelse{\equal{\cmdGR@vertex@L}{}}{% + \def\vertex@Name{#1}}{\def\vertex@Name{\cmdGR@vertex@L}} + \fi% + \ifGR@vertex@LabelOut% + \def\nstyle{VertexStyle,% + label={[text = \cmdGR@SVN@TextColor,\cmdGR@vertex@style]% + \cmdGR@vertex@Lpos:\vertex@Name}} + \def\vertex@Label{} + \else% + \def\vertex@Label{\vertex@Name} + \fi + \fi +%<---------------------------------------------------------------------------> + \ifthenelse{\not\equal{\cmdGR@vertex@x}{}}{% + \protected@edef\@tempa{% + \noexpand\node[outer sep=0pt,\cmdGR@vertex@style,\nstyle](#1) + at (\cmdGR@vertex@x,\cmdGR@vertex@y){% + \noexpand\vertex@Label}}% + \@tempa;% + }{% + \ifthenelse{\not\equal{\cmdGR@vertex@d}{}}{% + \protected@edef\@tempa{% + \noexpand\node[outer sep=0pt,\cmdGR@vertex@style,\nstyle](#1) + at (\cmdGR@vertex@a:\cmdGR@vertex@d){% + \noexpand\vertex@Label}}% + \@tempa;% + }{% + \protected@edef\@tempa{% + \noexpand\node[outer sep=0pt,\cmdGR@vertex@style,\nstyle](#1)% + [\cmdGR@vertex@position]{% + \noexpand\vertex@Label}}% + \@tempa;}}% + \end{scope} +\fi% +} +%<---------------------------------------------------------------------------> +% End of Vertex +%<---------------------------------------------------------------------------> +% EA east of #2 +%<---------------------------------------------------------------------------> +\newcommand*{\EA}[1][]{\@droite[#1]}% +\def\@droite[#1](#2)#3{% +\begingroup% + \setkeys[GR]{vertex}{#1}% + \path (#2)--++(\cmdGR@vertex@unit,0) coordinate (#3); + \Vertex[#1,Node]{#3} +\endgroup% +}% +%<---------------------------------------------------------------------------> +% WE west of #2 +%<---------------------------------------------------------------------------> +\newcommand*{\WE}[1][]{\@gauche[#1]}% +\def\@gauche[#1](#2)#3{% +\begingroup% + \setkeys[GR]{vertex}{#1}% + \path (#2)--++(-\cmdGR@vertex@unit,0) coordinate (#3); + \Vertex[#1,Node]{#3} + \endgroup% +} +%<---------------------------------------------------------------------------> +% NO north of #2 +%<---------------------------------------------------------------------------> +\newcommand*{\NO}[1][]{\@haut[#1]}% +\def\@haut[#1](#2)#3{% +\begingroup% + \setkeys[GR]{vertex}{#1}% + \path (#2)--++(0,\cmdGR@vertex@unit) coordinate (#3); + \Vertex[#1,Node]{#3} +\endgroup% +} +%<---------------------------------------------------------------------------> +% SO south of #2 +%<---------------------------------------------------------------------------> +\newcommand*{\SO}[1][]{\@bas[#1]}% +\def\@bas[#1](#2)#3{% +\begingroup% + \setkeys[GR]{vertex}{#1}% + \path (#2)--++(0,-\cmdGR@vertex@unit) coordinate (#3); + \Vertex[#1,Node]{#3} +\endgroup% +} +%<---------------------------------------------------------------------------> +% NOEA north east of #2 +%<---------------------------------------------------------------------------> +\newcommand*{\NOEA}[1][]{\@hautdroite[#1]}% +\def\@hautdroite[#1](#2)#3{% +\begingroup% + \setkeys[GR]{vertex}{#1}% + \path (#2)--++(\cmdGR@vertex@unit,\cmdGR@vertex@unit) coordinate (#3); + \Vertex[#1,Node]{#3} +\endgroup% +} + +%<---------------------------------------------------------------------------> +% NOWE north west of #2 +%<---------------------------------------------------------------------------> +\newcommand*{\NOWE}[1][]{\@hautgauche[#1]}% +\def\@hautgauche[#1](#2)#3{% +\begingroup% + \setkeys[GR]{vertex}{#1}% + \path (#2)--++(-\cmdGR@vertex@unit,\cmdGR@vertex@unit) coordinate (#3); + \Vertex[#1,Node]{#3} +\endgroup% +} +%<---------------------------------------------------------------------------> +% SOEA south east of #2 +%<---------------------------------------------------------------------------> +\newcommand*{\SOEA}[1][]{\@basdroite[#1]}% +\def\@basdroite[#1](#2)#3{% +\begingroup% + \setkeys[GR]{vertex}{#1}% + \path (#2)--++(\cmdGR@vertex@unit,-\cmdGR@vertex@unit) coordinate (#3); + \Vertex[#1,Node]{#3} +\endgroup% +} +%<---------------------------------------------------------------------------> +% SOWE south west of #2 +%<---------------------------------------------------------------------------> +\newcommand*{\SOWE}[1][]{\@basgauche[#1]}% +\def\@basgauche[#1](#2)#3{% +\begingroup% + \setkeys[GR]{vertex}{#1}% + \path (#2)--++(-\cmdGR@vertex@unit,-\cmdGR@vertex@unit) coordinate (#3); + \Vertex[#1,Node]{#3} +\endgroup% +} + +%<---------------------------------------------------------------------------> +% Vertices +%<---------------------------------------------------------------------------> +\newcommand*{\Vertices}[1][]{\Vertices@NoStar[#1]}% +\def\Vertices@NoStar[#1]#2#3{% +\setkeys[GR]{vertex}{#1}% +\begingroup% + \setcounter{tkz@gr@p}{0} + \@for\liste:=#3\do{% + \stepcounter{tkz@gr@p}% + \global\expandafter\let\csname label@\alph{tkz@gr@p}\endcsname\liste} + \ifthenelse{\equal{#2}{line}}{% + \setcounter{tkz@gr@p}{0} + \foreach \fin in {#3}{% + \ifthenelse{\value{tkz@gr@p}=0}{% + \global\let\deb\fin + \Vertex[#1]{\fin} + \stepcounter{tkz@gr@p} + }{% + \cmdGR@vertex@dir[#1,x={},y={},a={},d={},Node=false](\deb){\fin} + \global\let\deb\fin + } + }% + }{ + \ifthenelse{\equal{#2}{square}}{% + \begin{scope}[rotate=45] + \Vertex[#1,Lpos=-135]{\label@a} + \EA[#1,Lpos=-45,x={},y={},Node=false](\label@a){\label@b} + \NO[#1,Lpos=45, x={},y={},Node=false](\label@b){\label@c} + \WE[#1,Lpos=135,x={},y={},Node=false](\label@c){\label@d} + \end{scope} +}{% + \ifthenelse{\equal{#2}{tr1}}{% + \Vertex[#1]{\label@a} + \EA[#1,x={},y={},Node=false](\label@a){\label@b} + \NO[#1,x={},y={},Node=false](\label@b){\label@c}}{% + \ifthenelse{\equal{#2}{tr2}}{% + \Vertex[#1]{\label@a} + \NO[#1,x={},y={},Node=false](\label@a){\label@b} + \EA[#1,x={},y={},Node=false](\label@b){\label@c}}{% + \ifthenelse{\equal{#2}{tr3}}{% + \Vertex[#1]{\label@a} + \NO[#1,x={},y={},Node=false](\label@a){\label@b} + \WE[#1,x={},y={},Node=false](\label@b){\label@c}}{% + \ifthenelse{\equal{#2}{tr4}}{% + \Vertex[#1]{\label@a} + \WE[#1,x={},y={},Node=false](\label@a){\label@b} + \NO[#1,x={},y={},Node=false](\label@b){\label@c}}{% + \ifthenelse{\equal{#2}{circle}}{% + \pgfmathdivide{360}{\value{tkz@gr@p}}% + \global\let\gr@angle\pgfmathresult% + \setcounter{tkz@gr@p}{0} + \foreach \lab in {#3}{% + \pgfmathmultiply{\gr@angle}{\thetkz@gr@p}% + \let\gr@newangle\pgfmathresult% + \pgfmathadd{\cmdGR@vertex@Lpos}{\gr@newangle} + \let\gr@posangle\pgfmathresult% + \Vertex[#1, + a = \gr@newangle, + d = \cmdGR@vertex@unit, + Lpos = \gr@posangle]{\lab} + \stepcounter{tkz@gr@p}% + }% + }{}% + }}}}}}% +\endgroup% +} +%<---------------------------------------------------------------------------> +% Edge style +%<---------------------------------------------------------------------------> +\tikzset{LabelStyle/.style={}}% add 03/04/2009 +\tikzset{EdgeStyle/.style={}} +%<---------------------------------------------------------------------------> +% Init SetUpEdge +%<---------------------------------------------------------------------------> +\define@cmdkey [GR] {SUE} {color}{} +\define@cmdkey [GR] {SUE} {label}{} +\define@cmdkey [GR] {SUE} {labelstyle}{} +\define@cmdkey [GR] {SUE} {labeltext}{} +\define@cmdkey [GR] {SUE} {labelcolor}{} +\define@cmdkey [GR] {SUE} {style}{} +\define@cmdkey [GR] {SUE} {lw}{} +\presetkeys [GR] {SUE} {color = \EdgeColor, + lw = \EdgeLineWidth, + label = {}, + labeltext = \LabelTextColor, + labelcolor = \LabelFillColor, + labelstyle = {}, + style = {}}{} +%<---------------------------------------------------------------------------> +% SetUpEdge +%<---------------------------------------------------------------------------> +\newcommand*{\SetUpEdge}[1][]{\@SetUpEdge[#1]}% +\def\@SetUpEdge[#1]{% +\setkeys [GR] {SUE} {#1}% +\presetkeys [GR] {edge} {color = \cmdGR@SUE@color, + lw = \cmdGR@SUE@lw, + label = \cmdGR@SUE@label, + labeltext = \cmdGR@SUE@labeltext, + labelcolor = \cmdGR@SUE@labelcolor, + labelstyle = \cmdGR@SUE@labelstyle, + style = \cmdGR@SUE@style}{} +\tikzset{LabelStyle/.style={}} +\tikzset{EdgeStyle/.style={}}} +\newcommand*{\DisableEdgeStyle}{\tikzset{EdgeStyle/.style={}}} +%<---------------------------------------------------------------------------> +% Init Edge +%<---------------------------------------------------------------------------> +\define@cmdkey [GR] {edge} {color}{} +\define@cmdkey [GR] {edge} {lw}{} +\define@cmdkey [GR] {edge} {double}{} +\define@cmdkey [GR] {edge} {incolor}{} +\define@cmdkey [GR] {edge} {dd}{} +\define@cmdkey [GR] {edge} {style}{} +\define@cmdkey [GR] {edge} {label}{} +\define@cmdkey [GR] {edge} {labeltext}{} +\define@cmdkey [GR] {edge} {labelcolor}{} +\define@cmdkey [GR] {edge} {labelstyle}{} +\define@boolkey[GR] {edge} {local}[true]{} +\presetkeys [GR] {edge} {style = {pos=.5}, + lw = \EdgeLineWidth, + label = {}, + labeltext = \LabelTextColor, + labelcolor = \LabelFillColor, + labelstyle = {}, + local = false, + double = {}, + dd = \EdgeDoubleDistance, + incolor = \EdgeFillColor, + color = \EdgeColor}{} +%<---------------------------------------------------------------------------> +% Edge +%<---------------------------------------------------------------------------> +\newcommand*{\Edge}[1][]{\@edge[#1]}% +\def\@edge[#1](#2)(#3){% +\setkeys[GR]{edge}{#1}% + \begingroup% +\ifthenelse{\equal{\cmdGR@edge@double}{}}{% +\tikzset{LocalEdgeStyle/.style={color = \cmdGR@edge@color, + line width = \cmdGR@edge@lw}}}{% +\tikzset{LocalEdgeStyle/.style={line width = \cmdGR@edge@dd, + color = \cmdGR@edge@double, + double distance = \cmdGR@edge@lw, + double = \cmdGR@edge@color}}}% +\ifGR@edge@local% + \tikzset{EdgeStyle/.style={}}% + \fi + \ifthenelse{\equal{\cmdGR@edge@label}{}}{% + \protected@edef\@tempa{% + \noexpand \draw[LocalEdgeStyle,\cmdGR@edge@style,EdgeStyle]}% + \@tempa (#2) to (#3)}{% + \protected@edef\@tempa{% + \noexpand \draw[LocalEdgeStyle,\cmdGR@edge@style,EdgeStyle] (#2) to% + node[fill = \cmdGR@edge@labelcolor, + text = \cmdGR@edge@labeltext, + \cmdGR@edge@labelstyle,LabelStyle]}\@tempa + {\cmdGR@edge@label} (#3)}% + ; +\endgroup% +}% +%<---------------------------------------------------------------------------> +% Edges +%<---------------------------------------------------------------------------> +\newcommand*{\Edges}[1][]{\@edges[#1]}% +\def\@edges[#1](#2){% +\setkeys[GR]{edge}{#1}% + \begingroup% + \setcounter{tkz@gr@p}{0} + \foreach \fin in {#2}{% + \ifthenelse{\value{tkz@gr@p}=0}{% + \global\let\deb\fin + \stepcounter{tkz@gr@p}}{% + \Edge[#1](\deb)(\fin) + \global\let\deb\fin + }% + } + \endgroup% +}% +%<---------------------------------------------------------------------------> +% Init loop +%<---------------------------------------------------------------------------> +\define@choicekey*[GR]{loop}{dir}[\val\nr]{WE,EA,NO,SO,NOWE,NOEA,SOWE,SOEA}{% +\ifcase\nr\relax +\tikzset{LoopStyle/.style = {in=225, out=135, distance=\cmdGR@loop@dist}}% +\or +\tikzset{LoopStyle/.style = {in= 45, out=-45, distance=\cmdGR@loop@dist}}% +\or +\tikzset{LoopStyle/.style = {in=135, out= 45, distance=\cmdGR@loop@dist}}% +\or +\tikzset{LoopStyle/.style = {in=-45, out=-135, distance=\cmdGR@loop@dist}}% +\or +\tikzset{LoopStyle/.style = {in=180, out=90, distance=\cmdGR@loop@dist}}% +\or +\tikzset{LoopStyle/.style = {in=90, out=0, distance=\cmdGR@loop@dist}}% +\or +\tikzset{LoopStyle/.style = {in=-90, out=-180, distance=\cmdGR@loop@dist}}% +\or +\tikzset{LoopStyle/.style = {in=0, out=-90, distance=\cmdGR@loop@dist}}% +\fi% +} +\define@cmdkey [GR] {loop} {color}{} +\define@cmdkey [GR] {loop} {label}{} +\define@cmdkey [GR] {loop} {labelstyle}{} +\define@cmdkey [GR] {loop} {style}{} +\define@cmdkey [GR] {loop} {dist}{} +\presetkeys [GR] {loop} {style = {pre,thick},%` + label = {},% + labelstyle = {},% + color = \tkz@suc@txt,% + dist = 4cm,% + dir = WE}{} +%<---------------------------------------------------------------------------> +% loop +%<---------------------------------------------------------------------------> +\newcommand*{\grLoop}[1][]{\tkzGR@loop[#1]}% +\def\tkzGR@loop[#1](#2){% +\setkeys[GR]{loop}{#1}% +\protected@edef\@tempa{% +\noexpand \draw[\cmdGR@loop@color] (#2)% + edge [EdgeStyle,LoopStyle,\cmdGR@loop@style]% + node [LabelStyle,\cmdGR@loop@labelstyle]% + {\cmdGR@loop@label} (#2)}\@tempa;% +}% +%<---------------------------------------------------------------------------> +% Init Graphes probabilistes +%<---------------------------------------------------------------------------> +\define@cmdkey [GR] {grpb} {unit}{} +\define@cmdkey [GR] {grpb} {LposA}{} +\define@cmdkey [GR] {grpb} {LposB}{} +\define@cmdkey [GR] {grpb} {Ldist}{} +\define@cmdkey [GR] {grpb} {LoopDist}{} +\presetkeys [GR] {grpb} {LposA = 180,% + LposB = 0,% + Ldist = 0cm,% + LoopDist = 4cm, + unit = 4}{} +%<---------------------------------------------------------------------------> +% Graphes probabilistes +%<---------------------------------------------------------------------------> +\newcommand*{\grProb}[7][]{% +\setkeys[GR]{grpb}{#1}% +\tikzset{LabelStyle/.append style ={pos=.5}} +\Vertex[Lpos=\cmdGR@grpb@LposA,Ldist=\cmdGR@grpb@Ldist,L=#2]{grA} +\EA[unit=\cmdGR@grpb@unit,Lpos=\cmdGR@grpb@LposB, + Ldist=\cmdGR@grpb@Ldist,L=#3](grA){grB} +\Edge[style={post,bend left=60},label={$#4$},labelstyle={above}](grA)(grB) +\Edge[style={post,bend left=60},label={$#5$},labelstyle={below}](grB)(grA) +\grLoop[dist=\cmdGR@grpb@LoopDist,dir=WE,label={$#6$},labelstyle={left}](grA) +\grLoop[dist=\cmdGR@grpb@LoopDist,dir=EA,label={$#7$},labelstyle={right}](grB) +}% +\newcommand*{\grProbThree}[7][]{% +\setkeys[GR]{grpb}{#1}% +\begin{scope}[] + \tikzset{LabelStyle/.append style ={pos=.5}} + \Vertices[empty,unit=\cmdGR@grpb@unit]{circle}{grA,grB,grC} + \Vertex[Node,Lpos=\cmdGR@grpb@LposA,Ldist=\cmdGR@grpb@Ldist,L=#2]{grA} + \Vertex[Node,Lpos=\cmdGR@grpb@LposA,Ldist=\cmdGR@grpb@Ldist,L=#3]{grB} + \Vertex[Node,Lpos=\cmdGR@grpb@LposA,Ldist=\cmdGR@grpb@Ldist,L=#4]{grC} + \foreach \x/\y/\z in {#5} {% + \grLoop[dist=\cmdGR@grpb@LoopDist,dir=EA,label={$\x$}](grA) +\Edge[style={post,bend right=20},label={$\y$}](grA)(grB) +\Edge[style={post,bend right=20},label={$\z$}](grA)(grC)} +\foreach \x/\y/\z in {#6} {% + \grLoop[dist=\cmdGR@grpb@LoopDist,dir=NO,label={$\x$}](grB) +\Edge[style={post,bend right=20},label={$\y$}](grB)(grA) +\Edge[style={post,bend right=20},label={$\z$}](grB)(grC)} + \foreach \x/\y/\z in {#7} {% + \grLoop[dist=\cmdGR@grpb@LoopDist,dir=SO,label={$\x$}](grC) + \Edge[style={post,bend right=20},label={$\y$}](grC)(grA) + \Edge[style={post,bend right=20},label={$\z$}](grC)(grB)} +\end{scope} +} +%<---------------------------------------------------------------------------> +% End Graphes probabilistes +%<---------------------------------------------------------------------------> +\let\Loop\grLoop +\newcommand{\SetVertexLabeledSmall}{% +\SetVertexLabel% +\tikzset{VertexStyle/.style = {draw, + shape = circle, + inner sep = 1pt, + minimum size = 10pt}} +\tikzset{EdgeStyle/.style = {double = \tkz@suc@txt, + double distance = 1pt, + color = \tkz@suc@bkc, + line width = 0.7pt}} +} +\newcommand{\SetVertexNotLabeledSmall}{% + \tikzset{EdgeStyle/.style = {double = \tkz@suc@txt, + double distance = 1pt, + color = \tkz@suc@bkc, + line width = 0.7pt}} + \SetVertexNoLabel + \SetVertexSimple[MinSize=6pt,FillColor=gray] + \renewcommand*{\VertexLineWidth}{0pt} +}% + +\newcommand{\SetVertexForPresentation}[3]{% + \GraphInit[vstyle=Shade] + \SetVertexNoLabel + \renewcommand*{\VertexBigMinSize}{12pt}% + \renewcommand*{\EdgeDoubleDistance}{2pt}% + \renewcommand*{\EdgeLineWidth}{0.7pt}% + \SetGraphShadeColor{#1}{#2}{#3} +}% + +\newcommand{\setxyzvec}[1][20]{% + \pgfmathsetmacro{\xone}{cos(180+#1)}% + \pgfmathsetmacro{\yone}{sin(180+#1)}% + \pgfmathsetmacro{\xtwo}{cos(360-#1)}% + \pgfmathsetmacro{\ytwo}{sin(360-#1)}% + \pgfsetxvec{\pgfpoint{\xone cm}{\yone cm}}% + \pgfsetyvec{\pgfpoint{\xtwo cm}{\ytwo cm}}% + \pgfsetzvec{\pgfpoint{0cm}{1cm}}% +} +\endinput + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-graph/readme-tkz-graph.txt b/obsolete/macros/latex/contrib/tkz/tkz-graph/readme-tkz-graph.txt new file mode 100644 index 0000000000..eef0017b6b --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-graph/readme-tkz-graph.txt @@ -0,0 +1,78 @@ +% encodage utf8 +-------------------- english readme ---------------------------------------- +readme-tkz-graph.txt V 1.00 d 19/09/2018 + +The package tkz-graph.sty is a collection of some useful macros if you want to + draw manually a graph of the graph theory. The kind of graphs that I will + present, are sometimes called combinatorial graphs to distinguish them from + the graphs of functions. The macros are designed to give math + teachers (and students) easy access at the programmation of drawing graphs + with TikZ. I therefore hope that my packages provide ideal tools for + teachers wanting to offer their students fine documents of maths. + +Licence +------- + +This program can be redistributed and/or modified under the terms +of the LaTeX Project Public License Distributed from CTAN +archives in directory macros/latex/base/lppl.txt. + + +Features +-------- + + -- needs etex; + -- requires and automatically loads PGF/TikZ 2.1; + -- compiles with utf8, pdflatex; + -- compiles using the chain dvi->dvips->ps2pdf; + -- not yet ready for use with TeX and ConText (I need more time and ideas). + +Installation +------------ + +You can experiment with the tkz-graph package by placing tkz-graph.sty in the directory containing your current tex file. + +You can also placing tkz-graph.sty in the directory : +/texmf/tex/latex/tkz. + + +How to use it +------------- + +To use the package tkz-graph, place the following lines in the preamble of + your LaTeX document. + +\usepackage{tkz-graph} + +tkz-graph loads TikZ. + +If you use the xcolor package, load that package before tkz-graph to avoid + package conflicts. + +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{amsmath,tkz-graph} + + +Documentation +------------- + +The documentation is in french. +Documentation for tkz-graph is available on my sites: + + http://altermundus.fr (en français) or http://altermundus.com (in english) + Documentation for printing will be ready soon. + +Examples +-------- + + All examples given in documentation will be stored on my sites as standalone + files, ready for compilation. + + + Alain Matthes + 5 rue de Valence + Paris 75005 + + al (dot) ma (at) mac (dot) com + + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-kiviat/README b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/README new file mode 100644 index 0000000000..5d51977c31 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/README @@ -0,0 +1,5 @@ + +tkz-kiviat v0.1 b +The tkz-kiviat package allows the user to draw Kiviat Graphs directly, +or with data from an external file. +The drawing is done with the help of pgfplots.
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-kiviat/doc/TKZdoc-kiviat-main.pdf b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/doc/TKZdoc-kiviat-main.pdf Binary files differnew file mode 100644 index 0000000000..d6d8c30fa1 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/doc/TKZdoc-kiviat-main.pdf diff --git a/obsolete/macros/latex/contrib/tkz/tkz-kiviat/doc/latex/TKZdoc-kiviat-main.tex b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/doc/latex/TKZdoc-kiviat-main.tex new file mode 100644 index 0000000000..93c4a855d7 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/doc/latex/TKZdoc-kiviat-main.tex @@ -0,0 +1,518 @@ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% % +% NamedGraphs encodage : utf8 % +% % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% % +% Créé par Alain Matthes le 14/03/2007 % +% Copyright (c) 2007 __Collège Sévigné__ All rights reserved. % +% version : 1.0 % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% This file may be distributed and/or modified +% +% 1. under the LaTeX Project Public License , either version 1.3 +% of this license or (at your option) any later version and/or +% 2. under the GNU Public License. +% See http://www.latex-project.org/lppl.txt for details. +% graphs from graph theory + +\documentclass[DIV = 12, + fontsize = 10, + headinclude = false, + index = totoc, + footinclude = false, + twoside, + headings = small + ]{tkz-doc} +%\usepackage{svn-multi} +\usepackage{tkz-berge} + +\usepackage[pdftex, + unicode, + colorlinks = true, + pdfpagelabels, + urlcolor = blue, + filecolor = pdffilecolor, + linkcolor = blue, + breaklinks = false, + hyperfootnotes= false, + bookmarks = false, + bookmarksopen = false, + linktocpage = true, + pdfsubject ={Graph Theory}, + pdfauthor ={Alain Matthes}, + pdftitle ={NamedGraphs}, + pdfkeywords ={graph,berge}, + pdfcreator ={pdfeTeX} + ]{hyperref} +\usepackage{url} +\def\UrlFont{\small\ttfamily} +\usepackage[protrusion = true, + expansion, + final, + verbose = false + ]{microtype} + +\DisableLigatures{encoding = T1, family = tt*} + +\usepackage[parfill]{parskip} +\gdef\nameofpack{tkz-kiviat} +\gdef\versionofpack{v 0.1 b} +\gdef\dateofpack{2018/09/19} +\gdef\nameofdoc{tkz-kiviat} +\gdef\dateofdoc{2018/09/19} +\gdef\authorofpack{Alain Matthes} +\gdef\adressofauthor{} +\gdef\namecollection{AlterMundus} +\gdef\urlauthor{http://altermundus.fr} +\gdef\urlauthorcom{http://altermundus.com} +\title{The package : tkz-kiviat} +\author{Alain Matthes} + +\usepackage{shortvrb,fancyvrb} +\usepackage{tkzexample,tkz-kiviat} +\makeatletter +\renewcommand*\l@subsubsection{\bprot@dottedtocline{3}{3.8em}{4.2em}} +\makeatother +\AtBeginDocument{\MakeShortVerb{\|}} + +\pdfcompresslevel=9 +\pdfinfo{ + /Title (tkz-kiviat.pdf) + /Creator (TeX) + /Producer (pdfeTeX) + /Author (Alain Matthes) + /CreationDate (07 juin 2011) + /Subject (Named Graphs) + /Keywords (pdfeTeX, kiviat, graph, berge, tikz, pdflatex) } + +\usepackage{pgfplotstable} +\usepackage[english]{babel} +\usepackage[autolanguage]{numprint} + + +\begin{document} +\parindent=0pt +\title{\nameofpack} +\date{\today} + +\clearpage +\thispagestyle{empty} +\maketitle + +\clearpage +\tkzSetUpColors[background=fondpaille,text=Maroon] +\colorlet{textcodecolor}{Maroon} +\pagecolor{fondpaille} +\color{Maroon} +\colorlet{graphicbackground}{fondpaille} +\colorlet{codebackground}{Peach!30} +\colorlet{codeonlybackground}{Peach!30} + + +\nameoffile{\nameofpack} + +\defoffile{\textbf{tkz-kiviat.sty} is a simple package to draw Kiviat's graph with \TIKZ. Il est nécessaire d'utiliser \PGF\ 2.1. +} + % A lot of references can be found here \url{http://mathworld.wolfram.com} +\presentation + +\vspace*{12pt} + +\tkzHand Firstly, I would like to thank \textbf{Till Tantau} for the beautiful LATEX package, namely TikZ. + +\vspace*{12pt} +\tkzHand I am grateful to \textbf{Michel Bovani} for providing the \tkzname{fourier} font. + + + + +\vspace*{12pt} +\tkzHand Vous trouverez de nombreux exemples sur mes sites~: +\href{http://altermundus.com/pages/download.html}{altermundus.com} ou +\href{http://altermundus.fr/pages/download.html}{altermundus.fr} + +\vfill +Vous pouvez envoyer vos remarques, et les rapports sur des erreurs que vous aurez constatées à l'adresse suivante~: \href{mailto:al.ma@mac.com}{\textcolor{blue}{Alain Matthes}}. + +This file can be redistributed and/or modified under the terms of the LATEX +Project Public License Distributed from CTAN archives in directory \url{CTAN://macros/latex/base/lppl.txt}. + + + +\clearpage +\tableofcontents + +\clearpage\newpage + +\setlength{\parskip}{1ex plus 0.5ex minus 0.2ex} + + + +\newpage\section{Kiviat Graph} +\subsection{Caractéristiques d'un diagrame de Kiviat } +La macro suivante permet de définir les caractéristiques du diagramme. En arguments est donné une liste de variables. Cette liste va déterminer le nombre d'axes radiaux. En option, vous pouvez régler le nombre de lattes formant le treillis, ainsi que d'autres options. + +\bigskip +\begin{NewMacroBox}{tkzKiviatDiagram}{\oarg{options}\var{Liste de modalités}} + L'argument est une liste de variables et cet argument est obligatoire. + +\medskip +\begin{tabular}{lll} +Arguments & ex & définition \\ +\midrule +\TAline{Liste de variables} {empty} {\{charbon, gaz,uranium\}} +\end{tabular} + +\medskip +\begin{tabular}{lll} +Options & défaut & définition \\ +\midrule +\TOline{lattice} {10} {nombre de lattes} +\TOline{gap} {0.5} {l'écart entre deux lattes est de $0.5$ cm} +\TOline{space} {0.5} {les axes sont agrandis de $0,5$ cm} +\TOline{label space} {1.5} {Distance en cm entre la fin de l'axe et le label} +\TOline{step} {1} {} +\TOline{radial style} {1} {style des axes radiaux} +\TOline{label style} {1} {style des étiquettes (labels)} +\bottomrule +\end{tabular} + +\emph{Par défaut l'axe radial est gradué de $0$ à $1$. Entre deux graduations, l'écart est de $0.5$ cm et est déterminé par l'option \tkzname{gap}.} + +\end{NewMacroBox} + +\bigskip +\subsubsection{Par défaut avec trois variables} + +\begin{tkzexample}[width=8cm] +\begin{tikzpicture}[scale=.5] + \tkzKiviatDiagram{gaz,charbon,uranium} +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Par défaut, mais avec cinq variables} +Dans cet exemple, j'utilise cinq ($5$) variables : + + Poissons,Légumes,Viande,Lait,Pain. + + La toile (treillis) est formé de dix ($10$) lattes. + +\bigskip +\begin{tkzexample}[code only] +\begin{tikzpicture} + \tkzKiviatDiagram{Poissons,Légumes,Viande,Lait,Pain} +\end{tikzpicture} +\end{tkzexample} + + +\begin{center} +\begin{tikzpicture} + \tkzKiviatDiagram{Lait,Pain,Poissons,Légumes,Viande} +\end{tikzpicture} +\end{center} + +\subsubsection{Option \tkzname{gap} (écart entre deux lattes)} +Ceci permet de modifier l'écart entre deux lattes. Le premier exemple va prendre moins de place avec avec un écart divisé par deux. + + +\begin{tkzexample}[width=9cm] +\begin{tikzpicture} + \tkzKiviatDiagram[gap=.25, + label space=.75]{A,B,C,D,E} +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Option \tkzname{gap} (écart entre deux lattes)} +Ceci permet de modifier l'écart entre deux lattes. Le premier exemple va prendre moins de place avec avec un écart divisé par deux. + +\begin{tkzexample}[width=7cm] +\begin{tikzpicture} + \tkzKiviatDiagram[gap=.25]{A,B,C,D,E,F} +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{option \tkzname{lattice} (nombre de lattes)} +Par défaut ce nombre est de 10 ( voir l'exemple précédent) . + +\begin{tkzexample}[width=7cm] +\begin{tikzpicture} + \tkzKiviatDiagram[lattice=5]{Poissons,Légumes,Viande,Lait,Pain} + \end{tikzpicture} +\end{tkzexample} + +\subsubsection{options \tkzname{radial style} et \tkzname{lattice style}} + \begin{tkzexample}[] +\begin{tikzpicture} +\tkzKiviatDiagram[ + radial style/.style ={-}, + lattice style/.style ={blue!30}]% +{A,B,C,D,E} + \end{tikzpicture} + + \end{tkzexample} + +\newpage +\subsection{Tracé d'une ligne} +\begin{NewMacroBox}{tkzKiviatLine}{\oarg{options}\var{$v_1,v_2,\dots$}} + + L'argument est une liste de valeurs et cet argument est obligatoire. Les valeurs sont des décimaux mais si la valeur est un entier alors c'est entier correspond au rang d'une latte. La partie décimale si elle existe, précise le placement entre deux lattes sur l'axe radial. + +\medskip +\begin{tabular}{lll} +Arguments & défaut & exemple \\ +\midrule +\TAline{Liste de valeurs} {empty} {\{4,3,2\}} +\end{tabular} + +\medskip +\begin{tabular}{lll} +Options & défaut & définition \\ +\midrule +\TOline{fill} {10} {permet de colorier l'intérieur du polygone} +\TOline{opacity} {0.5} {définit l'opacité de la surface limitée par la ligne.} +\bottomrule +\end{tabular} + +\emph{Par défaut, l'axe radial est gradué de $0$ à $10$. Entre deux graduations, l'écart est de $0.5$ cm et est déterminé par l'option \tkzname{gap}.} + +\end{NewMacroBox} + +\begin{tkzexample}[] +\begin{tikzpicture} + \tkzKiviatDiagram[lattice=5]{A,B,C} + \tkzKiviatLine[thick, + color = blue, + mark = ball, + mark size = 4pt, + fill = blue!20, + opacity=.5](4,3,2) +\end{tikzpicture} +\end{tkzexample} + + +\subsubsection{Exemple avec deux lignes} +\begin{tkzexample}[] +\begin{tikzpicture} + \tkzKiviatDiagram{Poissons,Légumes,Viande,Lait,Pain} + \tkzKiviatLine[thick, + color=red, + mark=ball, + ball color=red, + mark size=4pt,opacity=.2, + fill=red!20](5,9,6,8,4) + \tkzKiviatLine[thick, + color=blue, + mark=ball, + mark size=4pt, + fill=blue!20, + opacity=.5](4,6,6,4,3) +\end{tikzpicture} +\end{tkzexample} + + +\subsubsection{Autre exemple} +\begin{tkzexample}[small] +\begin{tikzpicture}[label distance=.15cm] + \tkzKiviatDiagram[radial style/.style ={-}, + lattice style/.style ={blue!30}]% + {Poissons,Légumes,Viande,Lait,Pain} + \tkzKiviatLine[thick,color=red, + mark=ball, + ball color=red, + mark size=4pt, + fill=red!20](5,9,6,8,4) + \tkzKiviatLine[thick,color=blue,mark=ball, + mark size=4pt, + fill=blue!20, + opacity=.5](9,6,8,4,5) +\end{tikzpicture} +\end{tkzexample} + + +\newpage + \subsection{Graduation d'un axe} +\begin{NewMacroBox}{tkzKiviatGrad}{\oarg{options}\varp{integer}} +\begin{tabular}{lll} +Arguments & exemple & définition \\ +\midrule +\TAline{integer} {empty} {numéro de l'axe} +\end{tabular} + +\medskip +\begin{tabular}{lll} +Options & défaut & définition \\ +\midrule +\TOline{graduation distance}{0pt}{permet de positionner les graduations} +\TOline{prefix} {empty} {Ajoute un préfixe devant la valeur} +\TOline{suffix} {empty} {Ajoute un suffixe devant la valeur} +\TOline{unity} {1} {unité choisie pour les graduations} +\bottomrule +\end{tabular} + +\emph{Voir les exemples ci-dessous pour l'utilisation de \tkzname{suffix} et \tkzname{prefix}} + +\end{NewMacroBox} + + + \subsubsection{Exemple avec usage de \tkzname{suffix}} +\begin{tkzexample}[] +\begin{tikzpicture} +\tkzKiviatDiagram[scale = .6, + gap = 1, + lattice = 5]{% + McCabe,LOC,Live Variables,Halstead N,Variablenspanne} +\tkzKiviatLine[thick,color=blue,mark=none, + fill=blue!20,opacity=.5](3,3.5,3,3.5,3) +\tkzKiviatLine[thick,color=darkgray, + fill=green!20,opacity=.5](0.5,1,0.5,0.75,1) +\tkzKiviatLine[ultra thick,mark=ball, + mark size=4pt,color =Maroon](2,3.75,1,1.5,2) +\tkzKiviatGrad[prefix=,unity=100,suffix=\ \texteuro](1) +\end{tikzpicture} +\end{tkzexample} + + + \subsubsection{Autre exemple avec usage de \tkzname{prefix}} +\begin{tkzexample}[] +\begin{tikzpicture}[rotate=30,scale=.75] +\tkzKiviatDiagram[lattice = 6, + gap = 1, + step = 2, + label space = 2]% + {Marketing, + Sales, + Administration, + Information Technology, + Customer Support, + Development} + \tkzKiviatLine[thick,color=red](2.25,2.5,0.6,1.2,1,1) + \tkzKiviatLine[thick,color=blue](1,2,1,1.7,1.3,3) + \tkzKiviatGrad[prefix=\$,unity=10](5) + \end{tikzpicture} +\end{tkzexample} + + + + +\newpage\section{Kiviat Graph à l'aide d'un fichier} +Ce fichier est lu avec \tkzname{pgfplots}\NamePack{pgfplots}. + +\subsection{Caractéristiques du diagramme} + +\begin{NewMacroBox}{tkzKiviatDiagramFromFile}{\oarg{options}\var{file}} +Le fichier doit être un fichier correspondant aux fichiers du package \tkzNamePack{pgfplots}. + +\medskip +\begin{tabular}{lll} +Arguments & défaut & exemple \\ +\midrule +\TAline{file} {empty} {file.dat (\tkzname{pgfplots}\NamePack{pgfplots}.)} +\end{tabular} + +\medskip +\begin{tabular}{lll} +Options & défaut & définition \\ +\midrule +\TOline{lattice} {10} {nombre de lattes} +\TOline{gap} {0.5} {l'écart entre deux lattes est de $0.5$ cm} +\TOline{space} {0.5} {les axes sont agrandis de $0,5$ cm} +\TOline{label space} {1.5} {Distance en cm entre la fin de l'axe et le label} +\TOline{step} {1} {} +\bottomrule +\end{tabular} + +\emph{Par défaut l'axe radial est gradué de $0$ à $1$. Entre deux graduations, l'écart est de $0.5$ cm et est déterminé par l'option \tkzname{gap}.} +\end{NewMacroBox} + +\begin{tkzltxexample}[] +%file2.dat +column1 column2 +Reliability 6 +Usability 4 +Timeliness 2 +Efficiency 3 +\end{tkzltxexample} + +\begin{tkzexample}[latex=8cm] +\begin{tikzpicture} +\tkzKiviatDiagramFromFile[ + scale=.2, + label distance=1cm, + gap = 1, + label space=5, + lattice = 10]{file2.dat} + +\end{tikzpicture} +\end{tkzexample} + +\newpage + \subsection{Tracé des lignes} +\begin{NewMacroBox}{tkzKiviatLineFromFile}{\oarg{options}\var{file}\var{file}} + +\medskip +\begin{tabular}{lll} +Arguments & défaut & exemple \\ +\midrule +\TAline{file} {empty} {file.dat (nécessite \tkzname{pgfplots}\NamePack{pgfplots})} +\end{tabular} + +\medskip +\begin{tabular}{lll} +Options & défaut & définition \\ +\midrule +\TOline{fill} {10} {permet de colorier l'intérieur du polygone} +\TOline{opacity} {0.5} {définit l'opacité} +\bottomrule +\end{tabular} + +\emph{L'opacité ne pose pas de problème avec \tkzname{pdflatex} mais peut entraîner quelques difficultés avec \tkzname{latex}.} + +\end{NewMacroBox} + +\subsubsection{Diagramme à l'aide de données stockées dans un fichier} +Ce fichier est lu à l'aide de \tkzname{pgfplots}\NamePack{pgfplots}. Voici un exemple de fichiers. + +\begin{tkzltxexample}[] + %file.dat + column1 column2 column3 + Reliability 6 6.5 + Usability 4 9 + {Application Architecture} 7 8 + {Version Control} 6.5 7 + Timeliness 2 8 + Efficiency 3 4 + Effectiveness 5 6.5 + Interoperability 1.5 7 +\end{tkzltxexample} + +\begin{tkzexample}[latex=9cm] +\begin{tikzpicture} +\tkzKiviatDiagramFromFile[ + scale =.25, + label distance =.5cm, + gap = 1, + label space = 4, + lattice = 10]{file.dat} +\tkzKiviatLineFromFile% + [thick, + color = blue, + mark = ball, + ball color = blue, + mark size = 4pt, + fill = blue!20]{file.dat}{2} +\tkzKiviatLineFromFile% + [thick, + color = red, + mark = ball, + ball color = red, + mark size = 4pt, + fill = red!20]{file.dat}{1} +\end{tikzpicture} +\end{tkzexample} + + +\clearpage\newpage +\printindex +\end{document} + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-kiviat/doc/latex/file.dat b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/doc/latex/file.dat new file mode 100644 index 0000000000..7d45b95fc9 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/doc/latex/file.dat @@ -0,0 +1,10 @@ +%file.dat +column1 column2 column3 +Reliability 6 6.5 +Usability 4 9 +{Application Architecture} 7 8 +{Version Control} 6.5 7 +Timeliness 2 8 +Efficiency 3 4 +Effectiveness 5 6.5 +Interoperability 1.5 7
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-kiviat/doc/latex/file2.dat b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/doc/latex/file2.dat new file mode 100644 index 0000000000..6355878def --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/doc/latex/file2.dat @@ -0,0 +1,7 @@ +%file2.dat +column1 column2 +Reliability 6 +Usability 4 +Timeliness 2 +Efficiency 3 + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-kiviat/examples/latex/file.dat b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/examples/latex/file.dat new file mode 100644 index 0000000000..c58c962d40 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/examples/latex/file.dat @@ -0,0 +1,10 @@ +%tableae.dat +column1 column2 column3 +Reliability 6 6.5 +Usability 4 9 +{Application Architecture} 7 8 +{Version Control} 6.5 7 +Timeliness 2 8 +Efficiency 3 4 +Effectiveness 5 6.5 +Interoperability 1.5 7
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-kiviat/examples/latex/kiviat1.tex b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/examples/latex/kiviat1.tex new file mode 100644 index 0000000000..f123d065a7 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/examples/latex/kiviat1.tex @@ -0,0 +1,41 @@ +\documentclass[]{scrartcl} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage[upright]{fourier} +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{tkz-kiviat,numprint,fullpage} +\usetikzlibrary{arrows} +\thispagestyle{empty} + +\begin{document} + + +\begin{tikzpicture} + \tkzKiviatDiagram[lattice=5]{A,B,C} + \tkzKiviatLine[thick, + color = blue, + mark = ball, + mark size = 4pt, + fill = blue!20, + opacity=.5](4,3,2) +\end{tikzpicture} + + + + \begin{tikzpicture} + \tkzKiviatDiagram{Poissons,Légumes,Viande,Lait,Pain,fruit} + \tkzKiviatLine[thick, + color = red, + mark = ball, + ball color = red, + mark size = 4pt, + opacity = .2, + fill=red!20](10.5,11,6,8,4) + \tkzKiviatLine[thick, + color = blue, + mark = ball, + mark size = 4pt, + fill = blue!20, + opacity=.5](4,6,6,4,3) + \end{tikzpicture} +\end{document}
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-kiviat/examples/latex/kiviat2.tex b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/examples/latex/kiviat2.tex new file mode 100644 index 0000000000..679782e347 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/examples/latex/kiviat2.tex @@ -0,0 +1,23 @@ +\documentclass[]{scrartcl} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage[upright]{fourier} +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{tkz-kiviat,numprint,fullpage} +\usetikzlibrary{arrows} +\thispagestyle{empty} + +\begin{document} + +\begin{tikzpicture}[label distance=.15cm] + \tkzKiviatDiagram[ + radial=5, + radial style/.style ={-}, + lattice style/.style ={blue!30}]% + {Poissons,Légumes,Viande,Lait,Pain} + \tkzKiviatLine[thick,color=red,mark=ball, + ball color=red,mark size=4pt,fill=red!20](5,9,6,8,4) + \tkzKiviatLine[thick,color=blue,mark=ball, + mark size=4pt,fill=blue!20,opacity=.5](9,6,8,4,5) +\end{tikzpicture} +\end{document}
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-kiviat/examples/latex/kiviat3.tex b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/examples/latex/kiviat3.tex new file mode 100644 index 0000000000..d6aa486800 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/examples/latex/kiviat3.tex @@ -0,0 +1,25 @@ +\documentclass[]{scrartcl} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage[upright]{fourier} +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{tkz-kiviat,numprint,fullpage} +\usetikzlibrary{arrows} +\thispagestyle{empty} + +\begin{document} +\begin{tikzpicture} +\tkzKiviatDiagram[scale=1.25,label distance=.5cm, + radial = 5, + gap = 1, + lattice = 5]{McCabe,LOC,Live Variables,Halstead N,Variablenspanne} +\tkzKiviatLine[thick,color=blue,mark=none, + fill=blue!20,opacity=.5](3,3.5,3,3.5,3) +\tkzKiviatLine[thick,color=darkgray, + fill=green!20,opacity=.5](0.5,1,0.5,0.75,1) +\tkzKiviatLine[ultra thick,mark=ball, + mark size=4pt,color =Maroon](2,3.75,1,1.5,2) +\tkzKiviatGrad[prefix=,unity=100,suffix=\ \texteuro](1) +\end{tikzpicture} + +\end{document}
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-kiviat/examples/latex/kiviat4.tex b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/examples/latex/kiviat4.tex new file mode 100644 index 0000000000..1472945342 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/examples/latex/kiviat4.tex @@ -0,0 +1,28 @@ +\documentclass[]{scrartcl} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage[upright]{fourier} +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{tkz-kiviat,numprint,fullpage} +\usetikzlibrary{arrows} +\thispagestyle{empty} + +\begin{document} + +\begin{tikzpicture}[label distance=.15cm,rotate=30,scale=.75] +\tkzKiviatDiagram[radial=6,lattice=6,gap=1,step=2,label space=2]% + {Marketing, + Sales, + Administration, + Information Technology, + Customer Support, + Development} + \tkzKiviatLine[thick,color=red](2.25,2.5,0.6,1.2,1,1) + \tkzKiviatLine[thick,color=blue](1,2,1,1.7,1.3,3) + \tkzKiviatGrad[prefix=\$,unity=10](0) + \end{tikzpicture} + +\end{document} + + +
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-kiviat/examples/latex/kiviat5.tex b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/examples/latex/kiviat5.tex new file mode 100644 index 0000000000..d340027dc2 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/examples/latex/kiviat5.tex @@ -0,0 +1,36 @@ +\documentclass[]{scrartcl} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage[upright]{fourier} +\usepackage[usenames,dvipsnames]{xcolor} +\usepackage{tkz-kiviat,numprint,fullpage} +\usepackage{pgfplotstable} +\usetikzlibrary{arrows} +\thispagestyle{empty} + +\begin{document} + +\begin{tikzpicture} +\tkzKiviatDiagramFromFile[ + scale=.5, + label distance=.5cm, + gap = 1, + label space=3, + lattice = 10]{file.dat} +\tkzKiviatLineFromFile[thick, + color = blue, + mark = ball, + ball color = blue, + mark size = 4pt, + fill = blue!20]{file.dat}{2} +\tkzKiviatLineFromFile[thick, + color = red, + mark = ball, + ball color = red, + mark size = 4pt, + fill = red!20]{file.dat}{1} +\end{tikzpicture} + +\end{document} + +Sherlock Holmes
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-kiviat/latex/tkz-kiviat.sty b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/latex/tkz-kiviat.sty new file mode 100644 index 0000000000..c047c80017 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-kiviat/latex/tkz-kiviat.sty @@ -0,0 +1,246 @@ +% Copyright 2011 by Alain Matthes +% +% This file may be distributed and/or modified +% +% 1. under the LaTeX Project Public License and/or +% 2. under the GNU Public License. +% + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % % + % tkz-kiviat.sty encodage : utf8 % + % % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % % + % Créé par Alain Matthes le 07-02-2011 % + % % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Objet : kiviat chart or diagram + +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{tkz-kiviat}[2018/09/19 v0.1 b] +\ifx\e@alloc\@undefined + \RequirePackage{etex} +\fi +\RequirePackage{tikz} +\usetikzlibrary{backgrounds} +%<---------------------------------------------------------------------------> +\makeatletter +\def\tkzutil@empty{} +\newif\iftkz@kiv@table +\pgfkeys{% +/kiviat/.cd, +space/.code = {\def\tkz@kiv@sp{#1}}, +gap/.code = {\def\tkz@kiv@gap{#1}}, +lattice/.code = {\def\tkz@kiv@lattice{#1}}, +step/.code = {\def\tkz@kiv@step{#1}}, +radial style/.style = {->,>=latex'}, +lattice style/.style = {thin,lightgray}, +label style/.style = {text width=2 cm,align=center}, +label space/.code = {\def\tkz@kiv@space{#1}}, +/kiviat/.unknown/.code = {\let\searchname=\pgfkeyscurrentname + \pgfkeysalso{\searchname/.try=#1, + /tikz/\searchname/.retry=#1}} + } +\def\tkzKiviatDiagram{\pgfutil@ifnextchar[{\tkz@KiviatDiagram}{% + \tkz@KiviatDiagram[]}} +\def\tkz@KiviatDiagram[#1]#2{% + +\pgfkeys{/kiviat/.cd, +gap = .5, +lattice = 10, +space = .5, +step = 1, +label space = 1.5 +} +\pgfqkeys{/kiviat}{#1}% +\begingroup +\foreach \x [count=\rang from 1] in {#2}{% +\global\let\tkz@kiv@radial\rang}% +\foreach \x [count=\rang from 0] in {#2}{% + \draw[/kiviat/radial style] + (0,0)--(360/\tkz@kiv@radial*\rang:\tkz@kiv@lattice*\tkz@kiv@gap+\tkz@kiv@sp); + \path +(0,0)--(360/\tkz@kiv@radial*\rang:\tkz@kiv@lattice*\tkz@kiv@gap+\tkz@kiv@space) node[/kiviat/label style] {\x}; + +\foreach \y in {0,1,...,\tkz@kiv@lattice}{ + \draw[/kiviat/lattice style]% + (360/\tkz@kiv@radial*\rang:\y*\tkz@kiv@gap)--% + (360/\tkz@kiv@radial*\rang+360/\tkz@kiv@radial:\y*\tkz@kiv@gap); + } +} +\endgroup +} +%<---------------------------------------------------------------------------> +%<---------------------------------------------------------------------------> +\pgfkeys{/kiviatline/.cd, +fill/.code = {\global\def\tkz@kivl@fill{#1}}, +opacity/.code = {\global\def\tkz@kivl@opacity{#1}}, +/kiviatline/.unknown/.code ={\let\searchname=\pgfkeyscurrentname + \pgfkeysalso{\searchname/.try=#1, + /tikz/\searchname/.retry=#1}} +} +%<---------------------------------------------------------------------------> +\def\tkzKiviatLine{\pgfutil@ifnextchar[{\tkz@KiviatLine}{% + \tkz@KiviatLine[]}} +\def\tkz@KiviatLine[#1](#2,#3){% +\begingroup +\pgfkeys{/kiviatline/.cd, +fill= {}, +opacity=.5 +} +\pgfqkeys{/kiviatline}{#1}% opacity ?????? +\ifx\tkzutil@empty\tkz@kivl@fill \else +\begin{scope}[on background layer] + \path[fill=\tkz@kivl@fill,opacity=\tkz@kivl@opacity] (360/\tkz@kiv@radial*0:#2*\tkz@kiv@gap*\tkz@kiv@step) +\foreach \v [count=\rang from 1] in {#3}{% + -- (360/\tkz@kiv@radial*\rang:\v*\tkz@kiv@gap*\tkz@kiv@step) } -- (360/\tkz@kiv@radial*0:#2*\tkz@kiv@gap*\tkz@kiv@step); + \end{scope} + \fi +\draw[#1,opacity=1] (0:#2*\tkz@kiv@gap) plot coordinates {(360/\tkz@kiv@radial*0:#2*\tkz@kiv@gap*\tkz@kiv@step)} +\foreach \v [count=\rang from 1] in {#3}{% + -- (360/\tkz@kiv@radial*\rang:\v*\tkz@kiv@gap*\tkz@kiv@step) plot coordinates {(360/\tkz@kiv@radial*\rang:\v*\tkz@kiv@gap*\tkz@kiv@step)}} -- (360/\tkz@kiv@radial*0:#2*\tkz@kiv@gap*\tkz@kiv@step); +\endgroup +}% +%<---------------------------------------------------------------------------> +%<---------------------------------------------------------------------------> +\pgfkeys{/kiviatgrad/.cd, +graduation distance/.code = \def\tkz@kiv@grad{#1}, +prefix/.code = \def\tkz@kiv@prefix{#1}, +suffix/.code = \def\tkz@kiv@suffix{#1}, +unity/.code = \def\tkz@kiv@unity{#1}, +/kiviatgrad/.unknown/.code ={\let\searchname=\pgfkeyscurrentname + \pgfkeysalso{\searchname/.try=#1, + /tikz/\searchname/.retry=#1}} +} +%<---------------------------------------------------------------------------> +\def\tkzKiviatGrad{\pgfutil@ifnextchar[{\tkz@KiviatGrad}{\tkz@KiviatGrad[]}} +\def\tkz@KiviatGrad[#1](#2){% +\begingroup +\pgfkeys{/kiviatgrad/.cd, +graduation distance= 0 pt, +prefix ={}, +suffix={}, +unity=1 + } + \pgfqkeys{/kiviatgrad}{#1}% +\let\tikz@label@distance@tmp\tikz@label@distance +\global\let\tikz@label@distance\tkz@kiv@grad + \foreach \nv in {1,...,\tkz@kiv@lattice}{ + \pgfmathparse{\tkz@kiv@unity*\nv} + \pgfmathtruncatemacro{\result}{\pgfmathresult} + \protected@edef\tkz@kiv@gd{\tkz@kiv@prefix$\result$\tkz@kiv@suffix} + \path[/kiviatgrad/.cd,#1] (0:0)--(360/\tkz@kiv@radial*#2:\nv*\tkz@kiv@gap) + node[label=(360/\tkz@kiv@radial*#2)-90:\tkz@kiv@gd] {}; + } + \let\tikz@label@distance\tikz@label@distance@tmp +\endgroup +}% +%<---------------------------------------------------------------------------> +%<---------------------------------------------------------------------------> +\pgfkeys{% +/kiviatfile/.cd, +space/.code = {\def\tkz@kiv@sp{#1}}, +gap/.code = {\def\tkz@kiv@gap{#1}}, +lattice/.code = {\def\tkz@kiv@lattice{#1}}, +step/.code = {\def\tkz@kiv@step{#1}}, +radial style/.style = {->,>=latex'}, +lattice style/.style = {thin,lightgray}, +label style/.style = {text width=2 cm,align=center}, +label space/.code = {\def\tkz@kiv@space{#1}}, +/kiviatfile/.unknown/.code = {\let\searchname=\pgfkeyscurrentname + \pgfkeysalso{\searchname/.try=#1, + /tikz/\searchname/.retry=#1}} +} +%<---------------------------------------------------------------------------> +%<---------------------------------------------------------------------------> +\def\tkzKiviatDiagramFromFile{\pgfutil@ifnextchar[{\tkz@KiviatFile}{% + \tkz@KiviatFile[]}} +\def\tkz@KiviatFile[#1]#2{% +\pgfkeys{/kiviatfile/.cd, +gap = .5, +lattice = 10, +space = .5, +step = 1, +label space = 1.5, +table = false +} +\pgfqkeys{/kiviatfile}{#1}% +\begingroup +\pgfplotstablevertcat{\tkz@kivdata}{#2} +\pgfplotstablegetrowsof{\tkz@kivdata} +\pgfmathsetmacro{\nbrows}{\pgfplotsretval} +\pgfmathsetmacro{\rows}{\pgfplotsretval-1} +\pgfplotstablegetcolsof{\tkz@kivdata} +\pgfmathsetmacro{\cols}{\pgfplotsretval-1} +\pgfplotstablevertcat{\tkz@kivdata}{\tkz@kivdata} +\pgfplotstablegetelem{0}{[index] 0}\of{\tkz@kivdata} +\edef\tkz@kiv@radial{\nbrows} +\foreach \x [count=\rang from 0] in {0,...,\rows}{% + \pgfplotstablegetelem{\x}{[index] 0}\of{\tkz@kivdata} + \draw[/kiviatfile/radial style] + (0,0)--(360/\tkz@kiv@radial*\rang:\tkz@kiv@lattice*\tkz@kiv@gap+\tkz@kiv@sp); + \path +(0,0)--(360/\tkz@kiv@radial*\rang:\tkz@kiv@lattice*\tkz@kiv@gap+\tkz@kiv@space) node[/kiviatfile/label style] {\pgfplotsretval}; + +\foreach \y in {0,1,...,\tkz@kiv@lattice}{ + \draw[/kiviat/lattice style]% + (360/\tkz@kiv@radial*\rang:\y*\tkz@kiv@gap)--% + (360/\tkz@kiv@radial*\rang+360/\tkz@kiv@radial:\y*\tkz@kiv@gap); + } +} +\endgroup +} +%<---------------------------------------------------------------------------> +%<---------------------------------------------------------------------------> +\pgfkeys{/kiviatlinefile/.cd, +fill/.code = {\global\def\tkz@kivl@fill{#1}}, +opacity/.code = {\global\def\tkz@kivl@opacity{#1}}, +/kiviatlinefile/.unknown/.code ={\let\searchname=\pgfkeyscurrentname + \pgfkeysalso{\searchname/.try=#1, + /tikz/\searchname/.retry=#1}} +} +%<---------------------------------------------------------------------------> +\def\tkzKiviatLineFromFile{\pgfutil@ifnextchar[{\tkz@KiviatLineFile}{% + \tkz@KiviatLineFile[]}} +\def\tkz@KiviatLineFile[#1]#2#3{% +\begingroup +\pgfkeys{/kiviatlinefile/.cd, +fill= {}, +opacity=0.5 +} +\pgfqkeys{/kiviatlinefile}{#1}% +\pgfplotstablevertcat{\tkz@kivdata}{#2} +\pgfplotstablegetrowsof{\tkz@kivdata} +\pgfmathsetmacro{\nbrows}{\pgfplotsretval} +\pgfmathsetmacro{\rows}{\pgfplotsretval-1} +\pgfplotstablegetcolsof{\tkz@kivdata} +\pgfmathsetmacro{\cols}{\pgfplotsretval-1} +\pgfplotstablevertcat{\tkz@kivdata}{\tkz@kivdata} +\pgfplotstablegetelem{0}{[index] 0}\of{\tkz@kivdata} +\edef\tkz@kiv@radial{\nbrows} +\ifx\tkzutil@empty\tkz@kivl@fill \else +\begin{scope}[on background layer] + \pgfplotstablegetelem{0}{[index] #3}\of{\tkz@kivdata} + \let\actualval\pgfplotsretval +\path[fill=\tkz@kivl@fill,opacity=\tkz@kivl@opacity] + (0:\actualval*\tkz@kiv@gap*\tkz@kiv@step) + \foreach \v [count=\rang from 1] in {1,...,\nbrows}{% + \pgfextra{\pgfplotstablegetelem{\v}{[index] #3}\of{\tkz@kivdata}} + -- (360/\tkz@kiv@radial*\v:\pgfplotsretval*\tkz@kiv@gap*\tkz@kiv@step) + }; + \end{scope} + \fi + \foreach \v [count=\rang from 1] in {0,...,\nbrows}{% + \pgfplotstablegetelem{\v}{[index] #3}\of{\tkz@kivdata} + \let\actualval\pgfplotsretval + \pgfplotstablegetelem{\rang}{[index] #3}\of{\tkz@kivdata} + \let\nextval\pgfplotsretval + \draw[#1,opacity=1] (360/\tkz@kiv@radial*\v:\actualval*\tkz@kiv@gap) + -- (360/\tkz@kiv@radial*\rang:\nextval*\tkz@kiv@gap*\tkz@kiv@step) + plot coordinates {(360/\tkz@kiv@radial*\rang:\nextval*\tkz@kiv@gap*\tkz@kiv@step)}; + } +\endgroup +}% + +%<--------------------------- the end ---------------------------------------> +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-linknodes/README b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/README new file mode 100644 index 0000000000..b68ada7a54 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/README @@ -0,0 +1,61 @@ +Encoding : utf8 +Author : Alain Matthes +Date : 19/09/2018 +Package : tkz-linknodes.sty +Version : 1.1d + + + The linknodes package + +------------------------------------------------------------------------- +A. Purpose +------------------------------------------------------------------------- + +The 'linknodes' package provides macros for adding links between the lines + of a mathematic environment like 'aligned' or 'align'. + +------------------------------------------------------------------------- +B. Installation +------------------------------------------------------------------------- + +You need the following packages in your distribution: + +xkeyval [2005/11/25] +tikz 2.00 +etex +ifthen +amsmath + +On Unix like systems, copy the file 'tkz-linknodes.sty' into 'texmf/tex/latex/' or + put all files somewhere where TeX can find them, if necessary then run 'texhash'. + +With MiKTeX, copy the file 'linknodes.sty' into 'C:\texmf\tex\latex', then +run 'MiKTeX Options'. In the 'File name database' section, click on +'Refresh now'. + +------------------------------------------------------------------------- +C. Content of the folder 'linknodes' +------------------------------------------------------------------------- + +README This file. +tkz-linknodes.sty The package. +TKZdoc-linknodes.pdf The documentation in english(?) with a lot of examples. +linknodes.zip Documentation with sources and examples. + +------------------------------------------------------------------------- +D. Licence +------------------------------------------------------------------------- + +You may freely use and distribute this package under the terms of lppl and/or gpl. + +Read file TKZdoc-tab.pdf.pdf in the doc directory, for the complete documentation + +------------------------------------------------------------------------- +E. Bugs, suggestions, contact +------------------------------------------------------------------------- + +The author of the 'linknodes' package is Alain Matthes. +Email <al.ma at mac dot com> to submit bug reports, request new features, etc. +I maintain two web sites featuring TikZ stuff called +Altermundus <http://altermundus.fr> and <http://altermundus.com>. +February, 28th, 2009
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-linknodes/doc/latex/TKZdoc-linknodes-us.tex b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/doc/latex/TKZdoc-linknodes-us.tex new file mode 100644 index 0000000000..15a46e6822 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/doc/latex/TKZdoc-linknodes-us.tex @@ -0,0 +1,1611 @@ +% $Id: linknodes-us.tex 2009-02-22 12h22 alain matthes $ +% encoding : utf8 +% linknodesdoc.tex +% Created by Alain Matthes on 2008-01-19. +% Copyright (C) 2009 Alain Matthes +% +% This file may be distributed and/or modified +% +% 1. under the LaTeX Project Public License , either version 1.3 +% of this license or (at your option) any later version and/or +% 2. under the GNU Public License. +% +% See the file doc/generic/pgf/licenses/LICENSE for more details.% +% See http://www.latex-project.org/lppl.txt for details. +% +% +% ``linknodes-us'' is the english doc of tkz-linknodes +% +% +\documentclass[DIV=14, + fontsize=10, + headinclude=false, + index=totoc, + footinclude=false, + headings=small]{tkz-doc} +\usepackage{tkz-linknodes} +\usepackage{listings,tkzexample} +\usepackage[pdftex,unicode, + colorlinks=true, + pdfpagelabels, + urlcolor=blue, + filecolor=pdffilecolor, + linkcolor=blue, + breaklinks =false, + hyperfootnotes=false, + bookmarks=false, + bookmarksopen=false, + linktocpage=true, + pdfsubject={2d Drawings}, + pdfauthor={Alain Matthes}, + pdftitle={tkz-base}, + pdfkeywords={base}, + pdfcreator={LaTeX} + ]{hyperref} +\usepackage{url} +\def\UrlFont{\small\ttfamily} +\usepackage[protrusion = true, + expansion, + final, + verbose = false, + babel = true]{microtype} + +\DisableLigatures{encoding = T1, family = tt*} +\usepackage[parfill]{parskip} + +\gdef\nameofpack{tkz-linknodes} +\gdef\versionofpack{1.1 d} +\gdef\dateofpack{2018/09/19} +\gdef\nameofdoc{doc-linknodes v1.1 d} +\gdef\dateofdoc{2018/09/19} +\gdef\authorofpack{Alain Matthes} +\gdef\adressofauthor{} +\gdef\namecollection{AlterMundus} +\gdef\urlauthor{http://altermundus.fr} +\gdef\urlauthorcom{http://altermundus.com} + +\title{The package : tkz-linknodes.sty} +\author{Philippe Ivaldi, Alain Matthes} + +\usepackage{shortvrb,fancyvrb} +\usepackage[english]{babel} +\usepackage[autolanguage]{numprint} + +\parindent=0pt +\begin{document} +\title{\nameofpack} +\date{\today} +\clearpage +\thispagestyle{empty} +\maketitle + +\clearpage +\pagecolor{fondpaille} +\color{Maroon} +\colorlet{graphicbackground}{fondpaille} +\colorlet{codebackground}{Peach!30} +\colorlet{codeonlybackground}{Peach!30} + + \nameoffile{\nameofpack} + + +\defoffile{\tkzname{Tkz-linknodes.sty} arose from a question of \textbf{Philippe Ivaldi}, about \TIKZ. It was a question of knowing if we could easily create links between the lines of an environment as \tkzname{aligned} or still \tkzname{align} by indicating the operation made between the two lines. With the Philippe's acute remarks and his active collaboration, I hope I can bring you a useful tool.} + +\presentation + +\vspace*{1cm} +\lefthand\ Firstly, I would like to thank \tkzimp{Till Tantau} for the beautiful LATEX package, namely \TIKZ. + +\vspace*{12pt} +\lefthand\ I am grateful to \tkzimp{Michel Bovani} for providing the \tkzname{fourier} font. + +\vspace*{12pt} +\lefthand\ Finally, I would like to thank \tkzimp{Herbert Vo\ss} for providing + a very good document \tkzname{MathMode.pdf}, I used some examples from it. You can find \tkzname{MathMode.pdf} here:\newline +\url{http://dante.ctan.org/indexes/info/math/voss/mathmode/} + +\vspace*{12pt} +\lefthand\ Vous trouverez de nombreux exemples sur mes sites~: +\href{http://altermundus.com/pages/download.html}{altermundus.fr} ou +\href{http://altermundus.fr/pages/download.html}{altermundus.com} + +\vspace*{12pt} +Please report typos or any other comments to this documentation to \href{mailto:al.ma@mac.com}{\textcolor{blue}{Alain Matthes}} +This file can be redistributed and/or modified under the terms of the LATEX +Project Public License Distributed from CTAN archives in directory \url{CTAN:// +macros/latex/base/lppl.txt}. + +\clearpage +\tableofcontents +\newpage + +\setlength{\parskip}{1ex plus 0.5ex minus 0.2ex} + +\section{Introduction} + +Here is an example of what Philippe wanted when he used the environment \tkzname{aligned} \footnote{The \tkzname{aligned} environment is similar to the array environment, there exists no starred version and it has only one equation number and has to be part of another math environment, which should be equation environment.}. + +\bigskip + +\begin{center} + \fbox{% + \begin{minipage}{12cm} + \begin{NodesList}[margin=3 cm] + \begin{align} + 3\left(x^2-\frac{2}{3}\right) &= 4 \AddNode\\ + 3x^2-2 &= 4 \AddNode\\ + 3x^2 &= 6 \AddNode\\ + \intertext{\hfil isolate the term with the variable \hfil} + x^2 &= 2 \AddNode\\ + \sqrt{x^2} &= \sqrt{2} \AddNode\\ + |x| &= \sqrt{2} \AddNode\\ + x &= \pm\sqrt{2} \AddNode + \end{align} + \LinkNodes{expand}% + \LinkNodes{$+2$}% + \LinkNodes{$\div 3$} + \LinkNodes{$\sqrt{\ldots}$} + \LinkNodes{$\sqrt{x}=|x|$} + \LinkNodes{so that} + \end{NodesList} + \end{minipage}} +\end{center} + + +\bigskip +\tkzname{tkz-linknodes.sty} is based on + \tikzname{}, constituted by an environment \tkzname{NodesList} and two macros \tkzcname{AddNode} and \tkzcname{LinkNodes}. + +Philippe and I wanted a maximum of simplicity in the syntax and wish that it so stays even if developments occur. Without another word, it's the simplicity itself. + +\vfill\newpage +\section{Installation}\label{ins} +\subsection{How to install the package \texttt{\textcolor{red}{linknodes.sty}}} + +\newcommand{\drawpage}[4]{% + \begin{scope}[xshift=#1, yshift=#2,font=\footnotesize] + \filldraw[fill=white!75!#4,draw=#4, very thin]% + (0,0) -- (4.2,0) -- (4.2,4.85) --(3.21,5.84)-- (0,5.84) -- cycle; + \fill[fill=#4,shade,top color=#4,bottom color=#4!40]% + (3.21,5.84) -- ++(0,-0.99) -- ++(0.99,0) -- cycle; + \path (2.1,2.97) node{#3}; + \end{scope} +} + + +It is possible that when you will read this document, \tkzname{tkz-tab} is present on the \tkzname{CTAN}\footnote{\tkzname{tkz-tab} is not still a part of \tkzname{TeXLive} but it will be soon possible to install it with \tkzname{tlmgr}} server. If \tkzname{tkz-tab} is not still a part of your distribution, this chapter shows you how to install it. +\subsection{With TeXLive under OS X and Linux}\NameDist{TeXLive} + +You could simply create a folder \tikz[remember picture,baseline=(n1.base)]\node [fill=green!50,draw] (n1) {prof}; which path is : \colorbox{red!50}{ texmf/tex/latex/prof}. \colorbox{green!50}{texmf} is generally the personnal folder. For example the paths of this folder on my two computers are + +\medskip +\begin{itemize}\setlength{\itemsep}{10pt} +\item with OS X\NameSys{OS X} \colorbox{blue!30}{\textbf{/Users/ego/Library/texmf}}; +\item with Ubuntu\NameSys{Linux Ubuntu} \colorbox{blue!30}{\textbf{/home/ego/texmf}}. +\end{itemize} + +If you choose a custom location for your files, I suppose that you know why! +The installation that I propose, is valid only for one user. + +\medskip +\begin{enumerate} +\item Store the file \tikz[remember picture,baseline=(n2.base)]\node [fill=green!50,draw] (n2) {tkz-linknodes.sty}; in the folder \colorbox{green!50}{prof}. +\item Open a terminal, then type \texttt{\colorbox{red!50}{sudo texhash}} +\item Check that \textcolor{red}{xkeyval(>=2.5) and tikz 2.0} are installed. +\end{enumerate} + +My folder texmf is structured as in the diagram below because I use the \tkzname{CVS}\footnote{You can find the cvs version here : \url{http://www.texample.net/tikz/builds/} without CVS\\ or here with CVS \url{http://sourceforge.net/projects/pgf/}} version of \TIKZ. You don't need all the \tkzname{pgf} folders. + +\medskip +\begin{tikzpicture} [remember picture,rotate=90] + +\node (texmf) at (4,2) [draw,fill=blue!30 ] {texmf}; +\node (tex) at (6,0) [draw ] {tex}; +\node (doc) at (0,0) [draw ] {doc}; +\node (generic) at (7,-4) [draw ] {generic}; +\node (docgen) at (0,-4) [draw ] {generic}; +\node (latex) at (4,-4) [draw ] {latex}; +\node (pgf) at (7,-7) [draw,fill=orange] {pgf}; +\node (pre) at (6,-7) [draw,fill=orange] {pgf}; +\node (xkey) at (5,-7) [draw ] {xkeyval}; +\node (four) at (4,-7) [draw ] {fourier}; +\node (prof) at (3,-7) [draw,fill=green ] {{prof}}; +\node (etc) at (2,-7) [draw ] {etc...}; +\node (dpgf) at (0,-7) [draw,fill=orange] {pgf}; +\node (qcm) at (7,-11) [draw,fill=green ] {alterqcm.sty}; +\node (fonc) at (6,-11) [draw,fill=orange] {tkz-base.sty}; +\node (esp) at (5,-11) [draw,fill=orange] {tkz-fct.sty}; +\node (tuk) at (4,-11) [draw,fill=orange] {tkz-arith.sty}; +\node (tab) at (3,-11) [draw,fill=orange] {tkz-linknodes.sty}; +\node (base) at (2,-11) [draw,fill=orange] {tkz-2d.sty}; +\node (gra) at (1,-11) [draw,fill=orange] {tkz-berge.sty}; +\draw (doc.west) |- (4, 1); +\draw (tex.west) |- (4, 1); +\draw (latex.west) |- (6,-2); +\draw (generic.west) |- (6,-2); +\draw (xkey.west) |- (5,-6); +\draw (prof.west) |- (3,-6); +\draw (four.west) |- (4,-6); +\draw (pre.west) |- (4,-6); +\draw (etc.west) |- (4,-6); +\draw (qcm.west) |- (3,-9); +\draw (fonc.west) |- (6,-9); +\draw (esp.west) |- (5,-9); +\draw (tuk.west) |- (4,-9); +\draw (tab.west) |- (3,-9); +\draw (base.west) |- (2,-9); +\draw (gra.west) |- (3,-9); +\draw[-open triangle 90] (pgf.west) -- (generic.east); +\draw[-open triangle 90] (4,1) -- (texmf.east); +\draw[-open triangle 90] (6,-2) -- (tex.east); +\draw[-open triangle 90] (4,-6) -- (latex.east); +\draw[-open triangle 90] (3,-9) -- (prof.east); +\draw[-open triangle 90] (dpgf.west) -- (docgen.east); +\draw[-open triangle 90] (docgen.west) -- (doc.east); +\end{tikzpicture} + +\begin{tikzpicture}[remember picture,overlay] + \path[->,thin,red,>=latex] (n1) edge [bend left] (prof); + \path[->,thin,red,>=latex] (n2) edge [bend left] (prof); +\end{tikzpicture} + +\subsection{How to work with the tkz-\LaTeX-package under Windows?} +\NameDist{MikTeX}\NameSys{Windows XP} +Download and install the following files (if not yet done): +\begin{enumerate} + + \item the \LaTeX-system MiKTeX from + + \url{http://www.miktex.org/}. + + What file you need (e.g. + \texttt{basic-miktex-2.7.2904.exe}) and how to install + this program is explained there in the "Download" + section of the respective version (current version is + 2.7). In general and as usual in windows, you run the + setup process by starting the setup file :\newline (e.g.\texttt{basic-miktex-2.7.2904.exe}). + + \item Till Tantau's \LaTeX-package \texttt{pgf-tikZ} from + + \url{http://sourceforge.net/projects/pgf/} + + "For MiKTeX, use the update wizard [of MiKTeX] to + install the (latest versions of the) packages called + \texttt{pgf}, \texttt{xcolor}, and \texttt{xkeyval}." + (cited from the pgf manual, contained in the files + downloaded). + \item the sty-files and the doc-files of Alain's tkz-package + from + + \url{http://www.altermundus.fr/pages/download.html}. + + or + + \url{http://altermundus.com/pages/download.html}. + To add the files to MiKTeX: + + \begin{itemize} + \item add a directory \texttt{prof} in the + directory \texttt{[MiKTeX-dir]/tex/latex'}, + e.g. in windows explorer, + \item copy the sty-files in this directory + \texttt{prof}, + \item update the MiKTeX system, ether by running + in a DOS shell the command\newline\texttt{"mktexlsr + -u"}\newline or by clicking\newline + "Start/Programs/Miktex/Settings/General", then + push the button "Refresh FNDB". + \end{itemize} + \end{enumerate} + +\vfill\newpage +\section{How to use the package \texttt{\textcolor{red}{linknodes.sty}}} + +\bigskip +You can compile with pdflatex but you have to compile your document +twice! +It's possible to compile with latex but only if the version of pdftex is equal to or greater than 1.40. + +\bigskip +\begin{center} +\begin{tikzpicture}[>=triangle 45,scale=.75] + \drawpage{0cm}{0cm}{\texttt \blue file.tex}{blue} + \drawpage{16cm}{0cm}{\texttt \red file.pdf}{red} + \path (8.05,2.9) node(A) + [diamond,% + draw,color=black,fill=red,%,% + text = black,% + minimum size = 3 cm,% + font = \normalsize] + {{\texttt pdflatex}}; + \path (12.1,2.9) node(B) + [diamond,% + draw,color=black,fill=red,%,% + text = black,% + minimum size = 3 cm,% + font = \normalsize] + {{\texttt pdflatex}}; + \draw[->] (4.2,2.9) -- (A.west); + \draw[->] (B.east) -- (16,2.9); +\end{tikzpicture} +\end{center} + +The package loads,tries to load \tkzname{xkeyval}[2005/11/25], \tkzname{tikz}[2007/06/07] version 2.00, \tkzname{amsmath}, \tkzname{etex} and \tkzname{ifthen}. + +\bigskip +\subsection{Minimal example but complete} + +{ +\definecolor{codebackground}{rgb}{0,0,0} +\blanc +\begin{tkzexample}[code only,vbox,small,num] +\documentclass[]{article} +\usepackage[utf8]{inputenc} +\usepackage[upright]{fourier} +\usepackage{tkz-linknodes} +\begin{document} + \begin{NodesList} + \[ % formula no "inline" + \begin{aligned} + 2x &= 8 \AddNode\\ + x &= 4 \AddNode + \end{aligned} + \] + \LinkNodes{$\div 2$} + \end{NodesList} +\end{document}\end{tkzexample}} + +\bigskip +\subsection{Result} + \begin{NodesList} + \[ % formula no "inline" + \begin{aligned} + 2x &= 8 \AddNode\\ + x &= 4 \AddNode + \end{aligned} + \] + \LinkNodes{$\div 2$}% + \end{NodesList} + +\vfill\newpage + + \section{Essential environment \texttt{\textcolor{red}{NodesList}} and macros \textcolor{red}{ \addbs{LinkNodes}} and \textcolor{red}{ \addbs{AddNode}}} + +\subsection{The environment \texttt{\textcolor{red}{NodesList}}} + +\begin{NewEnvBox}{NodesList} + + +\begin{tabular}{>{\color{green!50!black}}lll} +\hline +options & default & definition \\ +\hline +\IoptNameEnv{NodesList}{margin} & \tkzdft{2cm} & right margin \\ +\IoptNameEnv{NodesList}{dy} & \tkzdft{1.5pt} & $2\times \text{dy}$ is the space between two adjacent arrows on the same node. \\ +\hline +\end{tabular} + + +\medskip +\noindent\emph{The use of this environment is obligatory. It admits options which we are going to detail in the following examples. These options are not obligatory and the values by default are given in the table above.} +\end{NewEnvBox} +\subsection{The command \textcolor{red}{ \addbs{AddNode}}} + +\begin{NewMacroBox}{AddNode}{\oarg{options}} + + \begin{tabular}{>{\color{green!50!black}}lll} + \hline + options & default & definition \\ + \hline + \IoptName{AddNode}{number} & \tkzdft{1} & It defines to which group belongs this node \\ + \hline + \end{tabular} + +\medskip +\emph{An optional argument is possible, thus placed between hooks if it is present, and it is an integer superior to 1. It defines to which group belongs this node.} + +\medskip + +\emph{This macro allows to ask that a link can leave or arrive of the node which we have just created. Really, it is not a node, I would say rather an anchor either another a reference point.\\ +A group is a set of links (arrows). The origin of the one is the extremity of the precedent. The first group is noted 1 which is the value by default.} + \end{NewMacroBox} + \subsection{The command \textcolor{red}{ \addbs{LinkNodes}}} + + +\begin{NewMacroBox}{LinkNodes}{\oarg{options}\var{expression}} + +\medskip +\begin{tabular}{>{\color{green!50!black}}lllc} +\hline +options & default & definition \\ +\hline +\IoptName{LinkNodes}{margin}& \tkzdft{2 cm} & right margin \\ +\IoptName{LinkNodes}{dy} & \tkzdft{1.5 pt} & $2\times \text{dy}$ is the space between two adjacent arrows on the same node. \\ +\hline +\end{tabular} + +\medskip +\emph{This macro allows the representation of the link between nodes and the label the contents of which are "expression" placed on this link. These links are created by following the order of their creation. +} + +\end{NewMacroBox} +The style of these links is determined by the default following styles : +\begin{itemize} + \item \tkzcname{tikzset\{ArrowStyle/.style=\{>=latex,->,text=black\}\}} + \item \tkzcname{tikzset\{LabelStyle/.style=\{pos=0.25,right\}\}} + \item \tkzcname{tikzset\{NodeStyle/.style=\{\}\}} +\end{itemize} + +The first style is for the arrows then we have a style for the labels and the last style is for the node, by default it is empty. + +\medskip +As you notice it, the macro are simple and the syntax is \LATEX syntax. It will be necessary to you to study a little \tkzname {TikZ} only to modify the styles but some examples should be sufficient to realize what you wish. + +% Comme vous le constatez, les macros sont simples et la syntaxe est du type \LATEX. Il vous faudra étudier un peu \tkzname{TikZ} seulement pour modifier les styles mais quelques exemples devraient vous suffir pour réaliser ce que vous souhaitez. + + +\section{The code of the example in the introduction} + +\subsection{The code of the first example} + \Iopt{LinkNodes}{margin} +Let us see first of all, the example of the introduction but placed in a more general frame, that of a page A4. Four nodes are created at the end of every line, then three links, both first ones have a personalized margin. + +The environment \tkzname{aligned} is placed in an environment \tkzname {displaymath} that is "in display mathematical mode". It means that the equations are placed in a box having the width of the page and that the sign equals is situated in the center of a line. + +\begin{tkzexample}[vbox,small,num] + \begin{NodesList} + \begin{align} + \boxed{ 3(x^2-3) =4 } \AddNode\\ + x^2-3 =\frac{4}{3} \AddNode\\ + \intertext{\hfil isolate the term with the variable \hfil} + x^2 =\frac{13}{3} \AddNode\\ + \sqrt{x^2} =\sqrt{\frac{13}{3}} \AddNode\\ + |x| =\sqrt{\frac{13}{3}} \AddNode\\ + x =\pm\sqrt{\frac{13}{3}} \AddNode + \end{align} + \LinkNodes[margin=1cm]{$\div 3$}% + \LinkNodes[margin=1.5cm]{$+3$}% + \LinkNodes[margin=2.5cm]{$\sqrt{\ldots}$} + \LinkNodes[margin=3cm]{$\sqrt{x^2}=|x|$} + \LinkNodes[margin=4.5cm]{we have two answers} + \end{NodesList}\end{tkzexample} + +\medskip + +That the environment \tkzname {NodesList} makes exactly. It tracks down the width of the line of the page which goes the receive here this width is the width of the text because we are in a display mathematical mode. The example of the introduction is placed in an environment \tkzname {minipage} of \LaTeX, thus the width will be the one attributed to minipage. +% Que fait exactement l'environnement \tkzname{NodesList}. Il repère la largeur de la ligne de la page qui va l'accueillir ici cette largeur est la largeur du texte car nous sommes dans un environnement mathématique hors texte. L'exemple de l'introduction est placé dans un environnement \tkzname{minipage} de \LaTeX{}, la largeur sera donc celle attribuée à celui-ci. + + Then, it prepares a list of counters to attribute automatically names to the nodes that the user will have placed with the macro \tkzcname{AddNode}. The macro \tkzcname{LinkNodes} represents a link between two successive nodes. + +\subsection{With the environment \tkzname{minipage}} +\Iopt{LinkNodes}{margin} \Ienv{minipage} +Thus we go to see what arrives at our environment in the case of an environment \tkzname {minipage}. In that case the width of the page is given by \tkzname {minipage}. The result can be seen below, we need to modify the last margin : + +\medskip +\begin{center}\fbox{\begin{minipage}{12cm} + \begin{NodesList} + \[ + \begin{aligned} + 3(x^2-3) &=4 \AddNode\\ + x^2-3 &=\frac{4}{3} \AddNode\\ + x^2 &=\frac{13}{3} \AddNode\\ + \sqrt{x^2} &=\sqrt{\frac{13}{3}} \AddNode\\ + |x| &=\sqrt{\frac{13}{3}} \AddNode\\ + x &=\pm\sqrt{\frac{13}{3}} \AddNode + \end{aligned} + \] + \LinkNodes[margin=1cm]{$\div 3$}% + \LinkNodes[margin=1.5cm]{$+3$}% + \LinkNodes[margin=2.5cm]{$\sqrt{\ldots}$} + \LinkNodes[margin=3cm]{$\sqrt{x^2}=|x|$} + \LinkNodes[margin=4cm]{we have two answers} + \end{NodesList} +\end{minipage}}\end{center} + +\medskip +\Ienv{minipage} \Ienv{displaymath} +{ +\definecolor{codebackground}{rgb}{0,0,0} +\blanc +\begin{tkzexample}[code only,vbox,small,num] +\documentclass[]{article} +\usepackage[utf8]{inputenc} % My favorite encoding but not indispensable. +\usepackage[upright]{fourier} % My favorite font. +\usepackage{LinkNodes} +\begin{document} +\begin{center}\fbox{\begin{minipage}{12cm} + \begin{NodesList} + \begin{displaymath} + \begin{aligned} + 3(x^2-3) &=4 \AddNode\\ + x^2-3 &=\frac{4}{3} \AddNode\\ + x^2 &=\frac{13}{3} \AddNode\\ + \sqrt{x^2} &=\sqrt{\frac{13}{3}} \AddNode\\ + |x| &=\sqrt{\frac{13}{3}} \AddNode\\ + x &=\pm\sqrt{\frac{13}{3}} \AddNode + \end{aligned} + \end{aligned} + \end{displaymath} + \LinkNodes[margin=4 cm]{$\div 3$} + \LinkNodes[margin=3 cm]{$+3$} + \LinkNodes{$\sqrt{\ldots}$} + \end{NodesList} + \end{minipage}}\end{center} +\end{document}\end{tkzexample}} + + + +\section{Options with effects on the structure} + +\subsection{One link between the first two lines} +I take the same example and I try to modify it. I want only the first link so I create only two nodes and one link. +\Ienv{displaymath} + +\begin{tkzexample}[vbox,small,num] +\begin{NodesList} + \begin{displaymath} + \begin{aligned} + 3(x^2-3) &= 4 \AddNode\\ + x^2-3 &= \frac{4}{3} \AddNode\\ + x^2 &= \frac{13}{3} \\ + \sqrt{x^2} &=\sqrt{\frac{13}{3}} \\ + |x| &=\sqrt{\frac{13}{3}} \\ + x &=\pm\sqrt{\frac{13}{3}} + \end{aligned} + \end{displaymath} + \LinkNodes{$\div 3$}% +\end{NodesList}\end{tkzexample} + + +\subsection{One link between the last two lines} +\begin{tkzexample}[vbox,small,num] +\begin{NodesList} + \begin{displaymath} + \begin{aligned} + 3(x^2-3) &= 4 \\ + x^2-3 &= \frac{4}{3} \\ + x^2 &= \frac{13}{3} \AddNode\\ + \sqrt{x^2} &=\sqrt{\frac{13}{3}} \AddNode\\ + |x| &=\sqrt{\frac{13}{3}} \\ + x &=\pm\sqrt{\frac{13}{3}} + \end{aligned} + \end{displaymath} + \LinkNodes{$\sqrt{\ldots}$} +\end{NodesList}\end{tkzexample} + + +\subsection{How to create a new group} +\Iopt{AddNode}{new group} \Iopt{AddNode}{groups}\Ienv{displaymath} +We saw how having a link on the first nodes , as well as on the last ones, now here is an example to have a link on the first and the last nodes. + +The principle is simple. The argument 2 indicates that we create another chain of links. It was already present but 1 is optional. +The arguments must be created in increasing order. + +\begin{tkzexample}[vbox,small,num] +\begin{NodesList} + \begin{displaymath} + \begin{aligned} + 3(x^2-3) &=4 \AddNode \\ + x^2-3 &= \frac{4}{3} \AddNode \\ + x^2 &= \frac{13}{3} \AddNode[2]\\ + \sqrt{x^2} &=\sqrt{\frac{13}{3}} \AddNode[2]\\ + |x| &=\sqrt{\frac{13}{3}} \\ + x &=\pm\sqrt{\frac{13}{3}} + \end{aligned} + \end{displaymath} + \LinkNodes{$\div 3$}% + \LinkNodes{$\sqrt{\ldots}$} +\end{NodesList}\end{tkzexample} + +\subsection{Two groups on the same line} +We can also do that. +\Iopt{AddNode}{two groups on the same line} +\begin{tkzexample}[vbox,small,num] + \begin{NodesList}[margin=3cm] + \begin{displaymath}\displaywidth=.4\linewidth + \begin{aligned} + x^2-4 & = 0 \AddNode \AddNode[2]\\ + (x-2)(x+2) & = 0 \\ + \left.\begin{aligned} + x-2 & = 0 \AddNode\\ + x & = 2 \\ + & \\ + x+2 & = 0 \AddNode[2]\\ + x & = -2 \\ + \end{aligned}\right\} \\ + \end{aligned} + \end{displaymath} + {\tikzset{LabelStyle/.style = {left=5cm,pos=.5,above,text=red}} + \LinkNodes[margin=5cm]{ first factor is null}% + \LinkNodes{Or second factor is null}% + } + \end{NodesList}\end{tkzexample} + + +\subsection{Empty line} +\index{Empty line}\Iopt{LinkNodes}{margin} \Ienv{aligned} +You can try this example without \tkzcname{hfill} at line 5. +\begin{tkzexample}[vbox,small,num] + \begin{minipage}{10cm} + \begin{NodesList}[margin=-2cm] + \[\left\{ + \begin{aligned} + d_n & = \displaystyle {400-\frac{v_n}{3}} \AddNode\hfill\\ + & \\ + v_n & = 0,8v_{n-1}+0,2d_n+9,6 \AddNode\\ + \end{aligned} + \right.\] + \LinkNodes{$v_n$ and $d_n$ are dependent} + \end{NodesList} + \end{minipage}\end{tkzexample} + +\section{Options with effects on the presentation} +These options are among two, \tkzname{margin} and \tkzname {dy}. They are useful globally at the level of the environment \tkzname{NodesList} either locally at the level of the macro \tkzcname{LinkNodes}. + +\subsection{Option \tkzname{margin}} +\Iopt{LinkNodes}{margin} \Ienv{aligned} \Ienv{minipage} +First of all, let us remind that the default margin is 2 cm. It is represented by the red arrow on the following figure. The margin is defined from the right edge of the box which begins the environment. + +\medskip + \begin{center} + \setlength{\fboxsep}{0pt} + \fbox{\begin{minipage}{12cm} + \begin{NodesList} + \begin{displaymath} + \begin{aligned} + 3(x^2-3) &=4 \AddNode\\ + x^2-3 &=\frac{4}{3} \AddNode\\ + x^2 &=\frac{13}{3} \AddNode\\ + \sqrt{x^2} &=\sqrt{\frac{13}{3}} \AddNode\\ + |x| &=\sqrt{\frac{13}{3}} \AddNode\\ + x &=\pm\sqrt{\frac{13}{3}} \AddNode + \end{aligned} + \end{displaymath} + \LinkNodes[margin=4cm]{$\div 3$}% + \LinkNodes[margin=3cm]{$+3$}% + \LinkNodes{$\sqrt{\ldots}$} + \tikz[remember picture,overlay]% + \draw[>=latex',red,<->](Inter) to node[above]{2 cm}% + ([shift={(2cm,0)}]Inter); + \end{NodesList} +\end{minipage}}% +\end{center} + +\medskip +It is necessary to notice that the box of the introduction is slightly different from this one. Indeed, the macro \tkzcname{fbox} adds a space around its equal contents in \tkzcname{fboxsep}. This one was put in zero for the occasion. + +\subsection{Equal margins} +\IoptEnv{NodesList}{margin} \Ienv{aligned} \Ienv{displaymath} +I suppose that you understood that the option \tkzname{margin} of the macro \tkzcname{LinkNodes} plays the same role as that of the environment. So having deleted them, I choose a margin of 3 cm as everybody. +This time with regard to the edge of the text field of the page. + + +\begin{NodesList}[margin=3cm] + \begin{displaymath} + \begin{aligned} + 3(x^2-3) &= 4 \AddNode\\ + x^2-3 &= \frac{4}{3} \AddNode\\ + x^2 &= \frac{13}{3} \AddNode\\ +\sqrt{x^2} &=\sqrt{\frac{13}{3}} \AddNode\\ + |x| &=\sqrt{\frac{13}{3}} \AddNode\\ + x &=\pm\sqrt{\frac{13}{3}} \AddNode + \end{aligned}% + \end{displaymath}% + \LinkNodes{$\div 3$}% + \LinkNodes{$+3$}% + \LinkNodes{$\sqrt{\ldots}$}% + \tikz[remember picture,overlay]% + \draw[>=latex',red,<->](Inter) to node[above]{3 cm}% + ([shift={(3cm,0)}]Inter);% +\end{NodesList} + + +\begin{tkzexample}[code only,small,num] +\begin{NodesList}[margin=3cm]% By default, margin = 2cm. + \begin{displaymath} + \begin{aligned} + 3(x^2-3) &= 4 \AddNode\\ + x^2-3 &= \frac{4}{3} \AddNode\\ + x^2 &= \frac{13}{3} \AddNode\\ +\sqrt{x^2} &=\sqrt{\frac{13}{3}} \AddNode\\ + |x| &=\sqrt{\frac{13}{3}} \AddNode\\ + x &=\pm\sqrt{\frac{13}{3}} \AddNode + \end{aligned}% + \end{displaymath}% + \LinkNodes{$\div 3$}% + \LinkNodes{$+3$}% + \LinkNodes{$\sqrt{\ldots}$}% +\end{NodesList}\end{tkzexample} + +\subsection{Negative margins} +\IoptEnv{NodesList}{negative margin} \IoptEnv{displaymath}{displaywidth} +Yes we can! The example is from \tkzname{MathMode.pdf} +In this example, I use \tkzcname{displaywidth} + +\begin{NodesList}[margin=-1cm] + \begin{displaymath}\displaywidth=.4\linewidth + \begin{aligned} + y &= 2x^2 -3x +5 \AddNode\\ + & \hphantom{= \ 2\left(x^2-\frac{3}{2}\,x\right. }% + \textcolor{blue}{% + \overbrace{\hphantom{+\left(\frac{3}{4}\right)^2- % + \left(\frac{3}{4}\right)^2}}^{=0}} \\ + &= 2\left(\textcolor{red}{% + \underbrace{% + x^2-\frac{3}{2}\,x + \left(\frac{3}{4}\right)^2}% + }% + \underbrace{% + - \left(\frac{3}{4}\right)^2 + \frac{5}{2}}% + \right) \AddNode\\ + &= 2\left(\qquad\textcolor{red}{\left(x-\frac{3}{4}\right)^2} + \qquad + \ \frac{31}{16}\qquad\right) \AddNode\\ +y + &= 2\left(x\textcolor{cyan}{-\frac{3}{4}}\right)^2\textcolor{blue}{+\frac{31}{8}}\AddNode +\end{aligned} + \end{displaymath} +{ \tikzset{LabelStyle/.append style = {left,text=red}} + \LinkNodes{% + \begin{minipage}{5cm} + $2x^2 -3x$ is the beginning of an algebraic identity % + (binomial formula) + \end{minipage}} + \LinkNodes{$(a-b)^2=a^2-2ab+b^2$} + \LinkNodes{after simplication, the result is}} +\end{NodesList} + +\begin{tkzexample}[vbox,small,num,code only] +\begin{NodesList}[margin=-1cm] + \begin{displaymath}\displaywidth=.4\linewidth + \begin{aligned} + y &= 2x^2 -3x +5 \AddNode\\ + & \hphantom{= \ 2\left(x^2-\frac{3}{2}\,x\right. }% + \textcolor{blue}{% + \overbrace{\hphantom{+\left(\frac{3}{4}\right)^2- % + \left(\frac{3}{4}\right)^2}}^{=0}} \\ + &= 2\left(\textcolor{red}{% + \underbrace{% + x^2-\frac{3}{2}\,x + \left(\frac{3}{4}\right)^2}% + }% + \underbrace{% + - \left(\frac{3}{4}\right)^2 + \frac{5}{2}}% + \right) \AddNode\\ + &= 2\left(\qquad\textcolor{red}{\left(x-\frac{3}{4}\right)^2} + \qquad + \ \frac{31}{16}\qquad\right) \AddNode\\ +y + &= 2\left(x\textcolor{cyan}{-\frac{3}{4}}\right)^2\textcolor{blue}{+\frac{31}{8}}\AddNode +\end{aligned} + \end{displaymath} +{ \tikzset{LabelStyle/.append style = {left,text=red}} + \LinkNodes{% + \begin{minipage}{5cm} + $2x^2 -3x$ is the beginning of an algebraic identity % + (binomial formula) + \end{minipage}} + \LinkNodes{$(a-b)^2=a^2-2ab+b^2$} + \LinkNodes{after simplication, the result is}} +\end{NodesList} +\end{tkzexample} + + +\subsection{The general option \tkzname{dy}} +\IoptEnv{NodesList}{dy} \IoptEnv{NodesList}{margin} +Here, it is a question of adjusting the distance between two arrows. The distance is equal in +$2\times \text{dy}$ + +\begin{tkzexample}[vbox,small,num] +\begin{NodesList}[margin=3cm,dy=3pt]% + \begin{displaymath} + \begin{aligned} + 3(x^2-3) &= 4 \AddNode\\ + x^2-3 &= \frac{4}{3} \AddNode\\ + x^2 &= \frac{13}{3} \AddNode\\ +\sqrt{x^2} &=\sqrt{\frac{13}{3}} \AddNode\\ + |x| &=\sqrt{\frac{13}{3}} \AddNode\\ + x &=\pm\sqrt{\frac{13}{3}} \AddNode + \end{aligned} + \end{displaymath} + \LinkNodes{$\div 3$}% + \LinkNodes{$+3$}% + \LinkNodes{$\sqrt{\ldots}$} +\end{NodesList}\end{tkzexample} + + +\section{Modification of the style} + \IstyleEnv{NodesList}{ArrowStyle} \IstyleEnv{NodesList}{LabelStyle} \IstyleEnv{NodesList}{NodeStyle} +It is enough for it to modify either \tkzname {\{ArrowStyle\}}, or \tkzname {\{LabelStyle\}}. By default, the values are the following ones + +\tikzset{ArrowStyle={>=latex',->,black}} + +\tikzset{LabelStyle={pos=0.25,right,text=black}} + +\tikzset{NodeStyle={}} + +\subsection{Adding some style} + + +At first, the shape of the arrow is modified as well as its color. For other forms of arrow, see the documention on the \tkzname{pgfmanual}. + +Then the place of the label is modified with \tkzdft{pos=0.75} . \tkzdft{pos=0} corresponds to the superior corner, \tkzdft{pos=0.25 } in the middle of the vertical line. We can then adjust the position of the node, here \tkzname{above} is used. For other adjustments, see \tkzname{pgfmanual} or the following examples. + +\begin{tkzexample}[vbox,small,num] + \begin{NodesList} + \[ + \begin{aligned} + 2x &= 8 \AddNode\\ + x &= 4 \AddNode + \end{aligned} + \] + {\tikzset{ArrowStyle/.style={>=stealth',->,cyan}} + \tikzset{LabelStyle/.style={pos=0.75,above,text=red}} + \LinkNodes{$\div 2$}} +\end{NodesList}\end{tkzexample} + +\subsection{Modification of the text color} + \IstyleEnv{NodesList}{Label color} + Since styles are just special cases of pgfkeys’s general style facility, you can actually do quite a bit more. +Let us start with adding options to an already existing style. This is done using /.append style instead of /.style: + + \tkzname{.append style} allows to take back the values of the style \tkzname{LabelStyle} by adding the color\footnote{Another possibility is \tkzcname +{LinkNodes{\BS textcolor\{orange\}\{\$\BS div\ 2\$\}}}} \tkzname{red} in the text which replaces the old color. Note that two colors are set, so the last one will “win.” + + +\begin{tkzexample}[vbox,small,num] + \begin{NodesList} + \[ + \begin{aligned} + 2x &= 8 \AddNode\\ + x &= 4 \AddNode + \end{aligned} + \] + {\tikzset{LabelStyle/.append style = {text=red}} + \LinkNodes{$\div 2$}} +\end{NodesList}\end{tkzexample} + +\subsection{Modification of the text position} + \IstyleEnv{NodesList}{label position} \Ienv{aligned} + You need to read the paragraph of \tkzname{pgfmanual} "Basic Placement Options". You can use \tkzname{left}, \tkzname{right}, \tkzname{above} and \tkzname{below} but also something like \tkzname{above right} or \tkzname{left = 2 cm}. + +\begin{tkzexample}[vbox,small,num] +\begin{NodesList} + \[ + \begin{aligned} + 2x &= 8 \AddNode\\ + x &= 4 \AddNode + \end{aligned} + \] + {\tikzset{LabelStyle/.append style = {text=red,left}} + \LinkNodes{$\div 2$}} +\end{NodesList}\end{tkzexample} + +\subsection{Boxed text} + \IstyleEnv{NodesList}{Boxed label } +A little more sophisticated: \tkzname{draw} allows to frame, \tkzname{right=10pt} allows to move away a little the label, \tkzname{green} defines the color of the line, \tkzname {fill=green!30} defines the color of filling and finally the color of the text is red. + +\begin{tkzexample}[vbox,small,num] +\begin{NodesList} + \[ + \begin{aligned} + 2x &= 8 \AddNode\\ + x &= 4 \AddNode + \end{aligned} + \] +{\tikzset{LabelStyle/.style = {draw,right=10pt,red,fill=green!30,text=red}} + \LinkNodes{$\div 2$}} +\end{NodesList}\end{tkzexample} + + +\section{Some more complex examples} +\subsection{Solution of two simultaneous equations.} +\Ienv{matrix}\Ienv{minipage} +Solution of two simultaneous equations. The problem is to find the set of all solutions that satisfies both equations. These are called simultaneous equations. + +\begin{tkzexample}[vbox,small,num] + \begin{minipage}{12cm} + \begin{NodesList}[dy=3pt] + \[ \left\{\begin{matrix} + 3x &+& 4y &=& 10\\ + 2x &+& y &=& 5 \AddNode\\ + \end{matrix}\right. \] +\vspace{0.5cm} + \[ \left\{\begin{matrix} + 3x &+& 4y &=& 10\\ + 8x &+& 4y &=& 20 \AddNode\\ + \end{matrix}\right. \] +\vspace{0.5cm} + \[ \left\{\begin{matrix} + 3x &+& 4y &=& 10 \\ + 5x && &=& 10 \AddNode\\ + \end{matrix}\right. \] +\vspace{0.5cm} + \[ \left\{\begin{matrix} + 3(2) &+& 4y &=& 10\\ + x && &=& 2 \AddNode\\ + \end{matrix}\right. \] +\vspace{0.5cm} + \[ \left\{\begin{matrix} + 3(2) &+& 4y &=& 10\AddNode\\ + x && &=& 2 \\ + \end{matrix}\right. \] +\vspace{0.5cm} + \[ \left\{\begin{matrix} + 4y &=& 10-6\AddNode\\ + x &=& 2 \\ + \end{matrix}\right. \] +\vspace{0.5cm} + \[ \left\{\begin{matrix} + y &=& 1 \AddNode\\ + x &=& 2 \\ + \end{matrix}\right. \] + \LinkNodes{\begin{minipage}{3cm} + both sides of second equation are multiplied by 4\end{minipage}} + \LinkNodes{\begin{minipage}{3cm} + The first equation is subtracted from second \end{minipage}} + \LinkNodes[margin=4 cm]{$\div 5$} + \LinkNodes{\begin{minipage}{3cm} + As a result, $x = 2$, this value is then substituted in the first equation + \end{minipage}} + \LinkNodes{% + \begin{minipage}{3cm} + $6$ is subtracted from both sides\end{minipage}} + \LinkNodes[margin=4 cm]{$\div 4$} + \end{NodesList} + + The solution is $\{(x=2~;~y=1)\}$ + \end{minipage}\end{tkzexample} + + +\subsection{Nested Environments aligned} +\index{Nested Environments}\IoptEnv{NodesList}{margin} + \IstyleEnv{NodesList}{LabelStyle} \Ienv{aligned} +This example is more complex because the environments are nested. + +\begin{tkzexample}[vbox,small,num] +\begin{NodesList}[margin=0cm] + \begin{displaymath} + \begin{aligned} + x^2-4 & = 0 \AddNode\\ + (x-2)(x+2) & = 0 \AddNode\\ + \left.\begin{aligned} + x-2 & = 0 \\ + x & = 2 \\ + & \\ + x+2 & = 0 \\ + x & = -2 \\ + \end{aligned}\right\} \AddNode\\ + \end{aligned} + \end{displaymath} + {\tikzset{LabelStyle/.style = {left=0.1cm,pos=.25,text=red}} + \LinkNodes[]{factorisons}% + \LinkNodes{One of the factors is null}% + } +\end{NodesList}\end{tkzexample} + +\subsection{One environment and two groups} +\Iopt{AddNode}{groups}\Ienv{align} +\begin{tkzexample}[vbox,small,num] + \begin{NodesList}[margin=4 cm,dy=3pt] + \begin{align} + 3\left(x^2-\frac{2}{3}\right) &= 4 \AddNode\\ + 3x^2-2 &= 4 \AddNode\\ + 3x^2 &= 6 \AddNode\\ + x^2 &= 2 \AddNode[2]\\ + \sqrt{x^2} &= \sqrt{2} \AddNode[2]\\ + |x| &= \sqrt{2} \AddNode[2]\\ + x &= \pm\sqrt{2} + \end{align} + \LinkNodes{expand}% + \LinkNodes{$+2$}% + \LinkNodes[margin=5 cm]{$\sqrt{\ldots}$} + \LinkNodes[margin=5 cm]{$\sqrt{x}=|x|$} + \end{NodesList} \end{tkzexample} + + +\vfill\newpage +\subsection{Two environments and a group} +\IoptEnv{NodesList}{margin}\Ienv{aligned} +\begin{tkzexample}[vbox] +\begin{NodesList}[margin=0.5cm] + \begin{displaymath} + \begin{aligned} + x^2-4 &= 0 \AddNode\\ + (x-2)(x+2) &= 0 \AddNode\\ + {\left. + \begin{aligned} + x-2 &= 0 \\ + x &= 2 \\ + & \\ + x+2 &= 0 \\ + x &= -2 \\ + \end{aligned} + \right\}% + } \AddNode\\ + \end{aligned} + \end{displaymath} +{\tikzset{LabelStyle/.style = {left=0.5cm,pos=.25,text=red}} + \LinkNodes[]{The first member can be factored as}% + \LinkNodes{One of the factors is null}% +} +\end{NodesList}\end{tkzexample} + +\vfill\newpage +\subsection{Label with \tkzname{minipage}} + \Ienv{minipage} \Ienv{aligned} +You can see in this example how to define a style if you want to place correctly a "minipage". +\IoptEnv{NodesList}{margin}\IoptEnv{NodesList}{dy} +\begin{tkzexample}[vbox,small,num] +\begin{NodesList}[margin=1cm,dy=3pt] + \begin{displaymath} + \begin{aligned} + x^2-4 &= 0 \AddNode\\ + (x-2)(x+2) &= 0 \AddNode\\ + &\left.% + \begin{aligned} + x-2 &= 0 \\ + x &= 2 \\ + & \\ + x+2 &= 0 \\ + x &= -2 + \end{aligned}% + \right\}\AddNode% + \end{aligned}% + \end{displaymath} + {\tikzset{LabelStyle/.style = {left=0.1cm,pos=.25,text=red}} + \LinkNodes{The first member can be factored as}% + \tikzset{LabelStyle/.append style = {pos=.5,sloped}} + \LinkNodes{% +\fbox{\begin{minipage}{4cm} + If the product of any two numbers is zero, % + then one or both of the numbers is zero + \end{minipage}% +} + }% + }% +\end{NodesList}\end{tkzexample} + +\vfill\newpage +\subsection{Three groups and few environments aligned} + \IoptEnv{displaymath}{displaywidth}\Iopt{AddNode}{groups} +It is interesting to notice the use of \tkzcname{displaywidth} which allows in display mathematical mode to modify the placement with regard to the left margin. + +\medskip +Solve in \textbf{R} : +\colorbox{black}{\textcolor{white}{$\left(\dfrac{2}{3}-3x\right)\left(\dfrac{3}{5}+2x\right)=0 $}} + +\medskip +\begin{NodesList}[dy=3] + \begin{displaymath}\displaywidth=.8\linewidth + \begin{aligned} + &\left(\frac{2}{3}-3x\right)\left(\frac{3}{5}+2x\right)=0 \AddNode\\ + &{\begin{aligned} + &\Longleftrightarrow&&% + \left\{{% + \begin{aligned} + \frac{2}{3}-3x&=0 \AddNode[2]&\\ + \text{ou}&& \AddNode \\ + \frac{3}{5}+2x&=0 \AddNode[3]&\\ + \end{aligned}}% + \right. \\ + &\Longleftrightarrow&&% + {% + \left\{% + \begin{aligned} + 2-9x&=0 \AddNode[2]\\ + \text{ou}& \\ + 3+10x&=0 \AddNode[3]\\ + \end{aligned}\right.} \\ + &\Longleftrightarrow&&% + {% + \left\{% + \begin{aligned} + 2&=9x \AddNode[2]\\ + \text{ou}& \\ + 10x&=-3 \AddNode[3]\\ + \end{aligned}\right.} \\ + &\Longleftrightarrow&&% + {% + \left\{% + \begin{aligned} + x&=\frac{2}{9} \AddNode[2]\\ + \text{ou}& \\ + x&=-\frac{3}{10} \AddNode[3]\\ + \end{aligned}\right.} \\ + \end{aligned}} + \end{aligned} + \end{displaymath} + \LinkNodes[margin=4.5cm]{% +\begin{minipage}{4cm} + \textcolor{red}{\textbf{If the product of any two numbers is zero, % + then one or both of the numbers is zero.}} +\end{minipage}}% +{\LinkNodes[margin=5cm]{$\times{}3$}% + \LinkNodes[margin=5cm]{$+9x$} + \LinkNodes[margin=5cm]{$\div 9$}} + \LinkNodes{$\times{}5$}% + \LinkNodes{$+3$} + \LinkNodes{$\div 10$} +\end{NodesList} + +On the next page, the code looks like: +\vfill\newpage +\begin{tkzexample}[vbox,code only,small,num] + \begin{NodesList}[dy=3] + \begin{displaymath}\displaywidth=.8\linewidth + \begin{aligned} + &\left(\frac{2}{3}-3x\right)\left(\frac{3}{5}+2x\right)=0 \AddNode\\ + &{\begin{aligned} + &\Longleftrightarrow&&% + \left\{{% + \begin{aligned} + \frac{2}{3}-3x&=0 + \AddNode[2]&\\ + \textrm{ou}&& \AddNode \\ + \frac{3}{5}+2x&=0 \AddNode[3]&\\ + \end{aligned}}% + \right. \\ + &\Longleftrightarrow&&% + {% + \left\{% + \begin{aligned} + 2-9x&=0 \AddNode[2]\\ + \textrm{ou}& \\ + 3+10x&=0 \AddNode[3]\\ + \end{aligned}\right.} \\ + &\Longleftrightarrow&&% + {% + \left\{% + \begin{aligned} + 2&=9x \AddNode[2]\\ + \textrm{ou}& \\ + 10x&=-3 \AddNode[3]\\ + \end{aligned}\right.} \\ + &\Longleftrightarrow&&% + {% + \left\{% + \begin{aligned} + x&=\frac{2}{9} \AddNode[2]\\ + \textrm{ou}& \\ + x&=-\frac{3}{10} \AddNode[3]\\ + \end{aligned}\right.} \\ + \end{aligned}} + \end{aligned} + \end{displaymath} + \LinkNodes[margin=4.5cm]{% + \begin{minipage}{4cm} + \textcolor{red}{\textbf{If the product of any two numbers is zero, then % + one or both of the numbers is zero.}} + \end{minipage}}% + {\LinkNodes[margin=5cm]{$\times{}3$}% + \LinkNodes[margin=5cm]{$+9x$} + \LinkNodes[margin=5cm]{$\div(9)$}} + \LinkNodes{$\times{}5$}% + \LinkNodes{$+3$} + \LinkNodes{$\div(10)$} + \end{NodesList}\end{tkzexample} +\Iopt{AddNode}{groups} + +\section{How to use \tkzname{tkz-linknodes.sty} with \tkzname{align}} +\subsection{With align et minipage} + \Ienv{align} \Ienv{minipage} +With this environment, we are directly in the display math mode and the lines are numbered. + +This environment is very useful and I recommend you to see the examples in MathMode.tex of Herbert Vo\ss. + +\medskip +\begin{tkzexample}[vbox,small,num] + \begin{minipage}{12cm} + \begin{NodesList}[margin=4 cm] + \begin{align} + 3\left(x^2-\frac{2}{3}\right) &= 4 \AddNode\\ + 3x^2-2 &= 4 \AddNode\\ + 3x^2 &= 6 \AddNode\\ + x^2 &= 2 \AddNode\\ + \sqrt{x^2} &= \sqrt{2} \AddNode\\ + |x| &= \sqrt{2} \AddNode\\ + x &= \pm\sqrt{2} + \end{align} + \LinkNodes{expand}% + \LinkNodes{$+2$}% + \LinkNodes{$\div 3$} + \LinkNodes{$\sqrt{\ldots}$} + \LinkNodes{$\sqrt{x}=|x|$} + \end{NodesList} + \end{minipage}\end{tkzexample} + +\vfill\newpage +\subsection{With \tkzname{align*}} + \Ienv{align*} +\begin{tkzexample}[vbox,small,num] +\begin{NodesList}[margin=4 cm] +\begin{align*} + 3\left(x^2-\frac{2}{3}\right) &= 4 \AddNode\\ + 3x^2-2 &= 4 \AddNode\\ + 3x^2 &= 6 \AddNode\\ + x^2 &= 2 \AddNode\\ + \sqrt{x^2} &= \sqrt{2} \AddNode\\ + |x| &= \sqrt{2} \AddNode\\ + x &= \pm\sqrt{2} + \end{align*} + \LinkNodes{expand}% + \LinkNodes{$+2$}% + \LinkNodes{$\div 3$} + \LinkNodes{$\sqrt{\ldots}$} + \LinkNodes{$\sqrt{x}=|x|$} +\end{NodesList}\end{tkzexample} + +\subsection{With \tkzname{align} and \tkzname{nonumber}} + \Imacro{nonnumber} \Ienv{align} +\begin{tkzexample}[vbox,small,num] +\begin{NodesList}[margin=4 cm] +\begin{align} + 3\left(x^2-\frac{2}{3}\right) &= 4 \nonumber\AddNode\\ + 3x^2-2 &= 4 \AddNode\\ + 3x^2 &= 6 \nonumber\AddNode\\ + x^2 &= 2 \AddNode\\ + \sqrt{x^2} &= \sqrt{2} \AddNode\\ + |x| &= \sqrt{2} \AddNode\\ + x &= \pm\sqrt{2} + \end{align} + \LinkNodes{expand}% + \LinkNodes{$+2$}% + \LinkNodes{$\div 3$} + \LinkNodes{$\sqrt{\ldots}$} + \LinkNodes{$\sqrt{x}=|x|$} +\end{NodesList}\end{tkzexample} + +\section{How to use \tkzname{tkz-linknodes.sty} with \tkzname{array}} + \Ienv{array} +\subsection{With \tkzname{array} an example from Mathmode.tex} +\begin{tkzexample}[vbox,small,num] +\begin{minipage}{11cm} +{\renewcommand{\arraystretch}{2}% +\begin{NodesList} +\[y = \left\{% + \begin{array}{ll} + x^2+2x &\textrm{if }x<0, \AddNode \\ + x^3 &\textrm{if }0\le x<1, \AddNode[2]\\ + x^2+x &\textrm{if }1\le x<2, \AddNode \\ + x^3-x^2 &\textrm{if }2\le x. \AddNode[2] + \end{array}\right.\] +\tikzset{ArrowStyle/.append style = {<->,red}} +\tikzset{LabelStyle/.append style = {pos=0.20}} +\LinkNodes[margin=3cm]{Degree 2 - quadratic} +{\tikzset{ArrowStyle/.append style = {<->,blue}} +\LinkNodes[margin=1cm]{Degree 3 - cubic}} +\end{NodesList}} +\end{minipage}\end{tkzexample} + +\vfill\newpage +\subsection{An example from Mathmode.tex} + \Ienv{array} \Iopt{LinkNodes}{margin} +In this example, we use an environment \tkzname{minipage} in the label. +\begin{tkzexample}[vbox,small,num] +\begin{NodesList}[margin=0cm] + \[ + \begin{array}{@{}r@{\quad}ccrr@{}} + \textrm{a}) & y & = & c & (constant) \AddNode \\ + \textrm{b}) & y & = & cx+d & (linear) \\ + \textrm{c}) & y & = & bx^{2}+cx+d & (square) \\ + \textrm{d}) & y & = & ax^{3}+bx^{2}+cx+d & (cubic) \AddNode + \end{array} +\] +{\tikzset{ArrowStyle/.append style = {-,red}} + \tikzset{LabelStyle/.append style = {left,text=red}} + \LinkNodes{% + \begin{minipage}{4cm} + Here are the various studied cases + \end{minipage}}% + } +\end{NodesList}\end{tkzexample} + +\vfill\newpage +\subsection{An example from \tkzname{Mathmode.tex}} + \Ienv{array} +\begin{tkzexample}[vbox,small,num] +\begin{NodesList} +\[ +\begin{array}{rcll} + y & = & x^{2}+bx+c \\ + & = & x^{2}+2\cdot{\displaystyle\frac{b}{2}x+c} \\ + & = & \underbrace{x^{2}+2\cdot\frac{b}{2}x+% + \left(\frac{b}{2}\right)^{2}}-% + {\displaystyle\left(\frac{b}{2}\right)^{2}+c} \\ + & & \qquad\left(x+{\displaystyle \frac{b}{2}}\right)^{2} \\ + & = & \left(x+{\displaystyle \frac{b}{2}}\right)^{2}-% + \left({\displaystyle \frac{b}{2}}\right)^{2}+c \AddNode\\ + y+\left({\displaystyle \frac{b}{2}}\right)^{2}-c% + & = & \left(x+{\displaystyle \frac{b}{2}}\right)^{2} \AddNode\\ + y-y_{S}% + & = & (x-x_{S})^{2} \\ + S(x_{S};y_{S})% + & \,\textrm{soit}\,% + & S\left(-{\displaystyle% + \frac{b}{2};\,\left({\displaystyle\frac{b}{2}}\right)^{2}-c}\right) +\end{array} + \] + \tikzset{LabelStyle/.append style = {right=0.5cm,pos=0.25,text=red}} + \LinkNodes[margin=5cm]{% + \begin{minipage}{3cm} + we add to each members $\left({\displaystyle \frac{b}{2}}\right)^{2}-c$ + \end{minipage}}% + \end{NodesList}\end{tkzexample} + +\vfill\newpage +\section{Use with diverse environments} + \Ienv{gather} +\subsection{With \tkzname{gather}} +A little modified example from Mathmode.tex +\begin{tkzexample}[vbox,small,num] +\begin{center} +\fbox{% + \begin{minipage}{14cm} + \begin{NodesList} + \begin{gather} + \boxed{ 3(x^2-3) =4 } \AddNode\\ + x^2-3 =\frac{4}{3} \AddNode\\ + \intertext{\hfil isolate the term with the variable \hfil} + x^2 =\frac{13}{3} \AddNode\\ + \sqrt{x^2} =\sqrt{\frac{13}{3}} \AddNode\\ + |x| =\sqrt{\frac{13}{3}} \AddNode\\ + x =\pm\sqrt{\frac{13}{3}} \AddNode + \end{gather} + \LinkNodes[margin=1cm]{$\div 3$}% + \LinkNodes[margin=1.5cm]{$+3$}% + \LinkNodes[margin=2.5cm]{$\sqrt{\ldots}$} + \LinkNodes[margin=3cm]{$\sqrt{x^2}=|x|$} + \LinkNodes[margin=4.5cm]{we have two answers} + \end{NodesList} +\end{minipage}% +} +\end{center}\end{tkzexample} + +\vfill\newpage +\subsection{With \tkzname{gather*} and \tkzname{align*}} + \Ienv{gather*}\Ienv{align*} + +An example from Mathmode.tex + +\begin{tkzexample}[vbox,small,num] +\begin{minipage}{\linewidth-7pt} + \begin{NodesList} + \begin{gather*} + \begin{align*} + m_2 &= m_2' + m_2'' \AddNode\\ + &= \frac{V_2'}{v_2'} + \frac{V_2''}{v_2''} + \end{align*} \\ + \Rightarrow m_2 v_2' = V - V_2'' + V_2''\frac{v_2'}{v_2''} \AddNode\\ + \end{gather*} + \begin{gather*} + \begin{align*} + m_2 &= m_2' + m_2'' \AddNode\\ + &= \frac{V_2'}{v_2'} + \frac{V_2''}{v_2''} & + \end{align*} \\ + \Rightarrow m_2 v_2' = V - V_2'' + V_2''\frac{v_2'}{v_2''} \AddNode\\ + \end{gather*} + \LinkNodes{(i)} + \LinkNodes{(ii)} + \LinkNodes{(iii)} + \end{NodesList} +\end{minipage} +\end{tkzexample} + +\vfill\newpage +\subsection{With \tkzname{enumerate}} +\Ienv{enumerate} +This example shows that we can use the environment \tkzname{NodesList} with a list \tkzname{enumerate} +\begin{tkzexample}[vbox,small,num] + \begin{NodesList}[margin=7cm] + \begin{enumerate} + \item A \AddNode + \item B \AddNode + \item C \AddNode + \item D \AddNode + \end{enumerate} + \LinkNodes{Liberté}% + \LinkNodes{Égalité}% + \LinkNodes{Fraternité} +\end{NodesList} +\end{tkzexample} + +\subsection{With \tkzname{flalign}} +\Ienv{flalign} +Another example from Mathmode.tex + \IstyleEnv{NodesList}{ArrowStyle} \IstyleEnv{NodesList}{LabelStyle} +\begin{tkzexample}[vbox,small,num] +\begin{NodesList} +\begin{flalign} + x & = 2\quad\textrm{if }y >2\AddNode & \\ + x & = 3\quad\textrm{if }y \le 2 \AddNode& + \end{flalign} +{\tikzset{ArrowStyle/.append style = {<->,red}} + \tikzset{LabelStyle/.append style = {left,text=blue}} + \LinkNodes{Two cases are to be studied}} +\end{NodesList} +\end{tkzexample} + +\vfill\newpage +\subsection{With \tkzname{listings}} +\Ienv{listings} + + \lstset{escapechar=\§} + \begin{NodesList} + \begin{lstlisting} + void example(FILE *fp) + { + int c; + + while((c=fgetc(fp)!=EOF)){ + if(c=='X') + goto done; §\AddNode§ + fputc(c,stdout); + } + + done: §\AddNode§ + exit(0); + } + \end{lstlisting} + \tikzset{ArrowStyle/.append style = {->,red}} + + \LinkNodes{} + \end{NodesList} + + + +\begin{tkzexample}[code only,small,num] + \lstset{escapechar=\§} + \begin{NodesList} + \begin{lstlisting} + void example(FILE *fp) + { + int c; + + while((c=fgetc(fp)!=EOF)){ + if(c=='X') + goto done; §\AddNode§ + fputc(c,stdout); + } + + done: §\AddNode§ + exit(0); + } + \end{lstlisting} + \tikzset{ArrowStyle/.append style = {->,red}} + + \LinkNodes{} + \end{NodesList} +\end{tkzexample} + +\section{Beamer and tkz-linknodes} +\index{Class!Beamer} +The next example is from \tkzimp{Guillaume Connan}. The first thing you can notice about this code is the multiple nodes from the first line. + +\begin{tkzexample}[code only,small,num] + \documentclass[xcolor={usenames,pdftex,dvipsnames,table},10pt]{beamer} + \usepackage[utf8]{inputenc} + \usepackage{lmodern} + \usepackage[upright]{fourier} + \usepackage{tikz} + + \usepackage{amsmath,calc} + \usepackage{tkz-linknodes} + \usetikzlibrary{arrows,shapes} + \newcommand{\vtab}{\rule[-1.2em]{0pt}{3em}} + \begin{document} + + \begin{frame} + \tiny + \begin{NodesList}[margin=1cm] + \[ + \begin{array}{lllllll} + \hline + \text{ Decimal}&\text{Babylone}&\text{Athenien}&\text{Maya}&% + \text{Japonais}&\text{Binaire}&\text{Bibinaire} \\ + \hline + \uncover<2->{\vtab 13&A&B&C&D&1101&DA% + \AddNode\AddNode[2]\AddNode[3]\AddNode[4]\AddNode[5]\\} + \uncover<4->{\vtab 130&AB&C&D&&10000010&KOHE\AddNode\\} + \uncover<6->{\vtab 26&A&B&C&D&11010&HAKE\AddNode[2]\\} + \uncover<8->{\vtab 208&A&B&C&D&11010000&DAHO\AddNode[3]\\} + \uncover<10->{\vtab 260&A&B&C&D&100000100&HAHOBO \AddNode[4]\\} + \uncover<12->{\vtab 780&A&B&C&D&1100001100&HIHODO\AddNode[5]\\ + \hline} + \end{array} + \] + \tikzstyle{ArrowStyle}+=[<->,blue] + \visible<3-4>{\LinkNodes[]{$\times10$}} + \visible<5-6>{\LinkNodes[]{$\times2$}} + \visible<7-8>{\LinkNodes[]{$\times16$}} + \visible<9-10>{\LinkNodes[]{$\times20$}} + \visible<11-12>{\LinkNodes[]{$\times60$}} + \end{NodesList} + \end{frame} + \end{document} +\end{tkzexample} + +\vfill\newpage +\section{\tkzname{tkz-linknodes} and ordinary text} +The following text is from \url{http://www.sir-lancelot.co.uk/camelot.htm}. + +\bigskip + + \begin{minipage}{12 cm} + \begin{NodesList}[margin=-1cm] + "In some versions of the legend, one of Lancelot's first tasks as a knight was to bring Guinevere to Camelot for her wedding to Arthur. During their journey back to Camelot, Guinevere and Lancelot fell in love\AddNode. In other stories, Guinevere was already Queen when Lancelot arrived, and he became one of the Queen's Knights. Lancelot soon became recognised as the greatest of the knights after successfully completing several quests. + + \dots + + Lancelot helped King Arthur put down the rebellion of Galehaut the Haut Prince, who surrendered to Arthur after being influenced by Lancelot's chivalry in battle. Later Galehaut became Lancelot's close friend and acted as a secret go-between\AddNode Lancelot and Guinevere." + + { \tikzset{ArrowStyle/.append style = {opacity=.5,red,]-[}} + \LinkNodes{% + \begin{minipage}{5cm} + \begin{itemize} + \item to feel in love ? + \item go-between ? + \end{itemize} + + \end{minipage} + }} + \end{NodesList} + \end{minipage} + +\begin{tkzexample}[code only,small,num] +\begin{minipage}{12 cm} +\begin{NodesList}[margin=-1cm] + "In some versions of the legend, one of Lancelot's first tasks as a knight was to% + bring Guinevere to Camelot for her wedding to Arthur. During their journey back to% + Camelot, Guinevere and Lancelot fell in love.\AddNode In other stories, Guinevere% + was already Queen when Lancelot arrived, and he became one of the Queen's% + Knights. Lancelot soon became recognised as the greatest of the knights after% + successfully completing several quests. + + \dots + +Lancelot helped King Arthur put down the rebellion of Galehaut the Haut Prince, who% + surrendered to Arthur after being influenced by Lancelot's chivalry in battle. Later% + Galehaut became Lancelot's close friend and acted as a secret go-between\AddNode% + Lancelot and Guinevere." + + { \tikzset{ArrowStyle/.append style = {opacity=.5,red,]-[}} + \LinkNodes{% + \begin{minipage}{5cm} + \begin{itemize} + \item to feel in love ? + \item go-between ? + \end{itemize} + + \end{minipage} + }} +\end{NodesList} +\end{minipage}\end{tkzexample} +\vfill\newpage +\section{Raise a Node} +\index{NodesList!raise a node} + +A better method of solving this problem is obtained by raising box. I use \TEX\ for that but perhaps there is a \LATEX\ method. +I remove \tkzcname{AddNode} and insert +\begin{tkzexample}[code only, width=6cm] \raise -1.2ex\hbox{\AddNode} +\end{tkzexample} + + + \begin{minipage}{12 cm} + \begin{NodesList}[margin=-1cm] + "In some versions of the legend, one of Lancelot's first tasks as a knight was to bring Guinevere to Camelot for her wedding to Arthur. During their journey back to Camelot, Guinevere and Lancelot fell in love.\raise -1.2ex\hbox{\AddNode} In other stories, Guinevere was already Queen when Lancelot arrived, and he became one of the Queen's Knights. Lancelot soon became recognised as the greatest of the knights after successfully completing several quests. + + \dots + + Lancelot helped King Arthur put down the rebellion of Galehaut the Haut Prince, who surrendered to Arthur after being influenced by Lancelot's chivalry in battle. Later Galehaut became Lancelot's close friend and acted as a secret go-between\raise -2ex\hbox{\AddNode} Lancelot and Guinevere." + + { \tikzset{ArrowStyle/.append style = {opacity=.5,green!50!black,]-[}} + \LinkNodes{% + \begin{minipage}{5cm} + \begin{itemize} + \item to feel in love ? + \item go-between ? + \end{itemize} + + \end{minipage} + }} + \end{NodesList} + \end{minipage} +\printindex +\end{document} diff --git a/obsolete/macros/latex/contrib/tkz/tkz-linknodes/doc/latex/linknodes.ist b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/doc/latex/linknodes.ist new file mode 100644 index 0000000000..4c87f0fe9c --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/doc/latex/linknodes.ist @@ -0,0 +1,6 @@ +heading_prefix "{\\bfseries\\hfil " +heading_suffix "\\hfil}\\nopagebreak\n" +headings_flag 1 +delim_0 "\\dotfill" +delim_1 "\\dotfill" +delim_2 "\\dotfill"
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-linknodes/doc/tkz-linknodes-screen.pdf b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/doc/tkz-linknodes-screen.pdf Binary files differnew file mode 100644 index 0000000000..f8e79709c2 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/doc/tkz-linknodes-screen.pdf diff --git a/obsolete/macros/latex/contrib/tkz/tkz-linknodes/examples/equation.pdf b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/examples/equation.pdf Binary files differnew file mode 100644 index 0000000000..3c100c69ff --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/examples/equation.pdf diff --git a/obsolete/macros/latex/contrib/tkz/tkz-linknodes/examples/latex/equation.tex b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/examples/latex/equation.tex new file mode 100644 index 0000000000..c7ac553f36 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/examples/latex/equation.tex @@ -0,0 +1,40 @@ +\documentclass[]{article} +\usepackage[utf8]{inputenc} +\usepackage[upright]{fourier} +\usepackage{tkz-linknodes} +\thispagestyle{empty} + +\begin{document} + +\parindent=0pt + +\begin{center} + \fbox{% + \begin{minipage}{10cm} + \begin{NodesList}[margin=2 cm] + \begin{align} + 3\left(x^2-\frac{2}{3}\right) &= 4 \AddNode\\ + 3x^2-2 &= 4 \AddNode\\ + 3x^2 &= 6 \AddNode\\ + \intertext{\hfil isolate the term with the variable \hfil} + x^2 &= 2 \AddNode\\ + \sqrt{x^2} &= \sqrt{2} \AddNode\\ + |x| &= \sqrt{2} \AddNode\\ + x &= \pm\sqrt{2} \AddNode + \end{align} + \LinkNodes{expand}% + \LinkNodes{$+2$}% + \LinkNodes{$\div 3$} + \LinkNodes{$\sqrt{\ldots}$} + \LinkNodes{$\sqrt{x}=|x|$} + \LinkNodes{so that} + \end{NodesList} + \end{minipage}} +\end{center} + +\end{document} +% Encoding : utf8 +% Author : Alain Matthes (2008) +% Engine : pdfLaTeX (LaTeX only with pdftex >= 1.40) +% Packages : xkeyval, tikz with arrow library, amsmath, etex, ifthen +% Remark : needs two compilations
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-linknodes/examples/latex/quadratic.tex b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/examples/latex/quadratic.tex new file mode 100644 index 0000000000..bb3690d5be --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/examples/latex/quadratic.tex @@ -0,0 +1,44 @@ +\documentclass[]{article} +\usepackage[utf8]{inputenc} +\usepackage[upright]{fourier} +\usepackage{amsmath,tkz-linknodes} + +\thispagestyle{empty} +\begin{document} +This example is from MathMode.pdf of Herbert Vo\ss + +\begin{NodesList}[margin=1cm] + \begin{displaymath}\displaywidth=.2\linewidth + \begin{aligned} + y &= 2x^2 -3x +5 \AddNode\\ + & \hphantom{= \ 2\left(x^2-\frac{3}{2}\,x\right. }% + \textcolor{blue}{% + \overbrace{\hphantom{+\left(\frac{3}{4}\right)^2- % + \left(\frac{3}{4}\right)^2}}^{=0}} \\ + &= 2\left(\textcolor{red}{% + \underbrace{% + x^2-\frac{3}{2}\,x + \left(\frac{3}{4}\right)^2}% + }% + \underbrace{% + - \left(\frac{3}{4}\right)^2 + \frac{5}{2}}% + \right) \AddNode\\ + &= 2\left(\qquad\textcolor{red}{\left(x-\frac{3}{4}\right)^2} + \qquad + \ \frac{31}{16}\qquad\right) \AddNode\\ +y + &= 2\left(x\textcolor{cyan}{-\frac{3}{4}}\right)^2\textcolor{blue}{+\frac{31}{8}}\AddNode +\end{aligned} + \end{displaymath} +{% +\tikzset{LabelStyle/.append style = {left,text=red}} + \LinkNodes{% + \begin{minipage}{5cm} + $2x^2 -3x$ is the beginning of an algebraic identity % + (binomial formula) + \end{minipage}} + \LinkNodes{$(a-b)^2=a^2-2ab+b^2$} + \LinkNodes{after simplication, the result is}% +} + \end{NodesList} + + +\end{document}
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-linknodes/examples/latex/system.tex b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/examples/latex/system.tex new file mode 100644 index 0000000000..d9ba5e6445 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/examples/latex/system.tex @@ -0,0 +1,91 @@ +\documentclass[]{article} +\usepackage[utf8]{inputenc} +\usepackage[upright]{fourier} +\usepackage{amsmath,tkz-linknodes} + +\thispagestyle{empty} +\begin{document} + +% Show how to find the solution of two simultaneous equations. + +\begin{minipage}{10cm} + Solution of two simultaneous equations. The problem is to find the set of all solutions that satisfies both equations. These are called simultaneous equations. + \displaywidth=.4\linewidth + \begin{NodesList}[dy=3pt,margin=5cm] + \[ \displaywidth=.4\linewidth + \left\{\begin{matrix} + 3x &+& 4y &=& 10\\ + 2x &+& y &=& 5 \AddNode\\ + \end{matrix}\right. \] + + \bigskip + + \[\displaywidth=.4\linewidth \left\{\begin{matrix} + 3x &+& 4y &=& 10\\ + 8x &+& 4y &=& 20 \AddNode\\ + \end{matrix}\right. \] + + \bigskip + + \[\displaywidth=.4\linewidth \left\{\begin{matrix} + 3x &+& 4y &=& 10 \\ + 5x && &=& 10 \AddNode\\ + \end{matrix}\right. \] + + \bigskip + + \[\displaywidth=.4\linewidth \left\{\begin{matrix} + 3(2) &+& 4y &=& 10\\ + x && &=& 2 \AddNode\\ + \end{matrix}\right. \] + + \bigskip + + \[\displaywidth=.4\linewidth \left\{\begin{matrix} + 3(2) &+& 4y &=& 10\AddNode\\ + x && &=& 2 \\ + \end{matrix}\right. \] + + \bigskip + + \[\displaywidth=.4\linewidth \left\{\begin{matrix} + 4y &=& 10-6\AddNode\\ + x &=& 2 \\ + \end{matrix}\right. \] + + \bigskip + + \[\displaywidth=.4\linewidth \left\{\begin{matrix} + y &=& 1 \AddNode\\ + x &=& 2 \\ + \end{matrix}\right. \] + + + \LinkNodes{% + \begin{minipage}{3cm} + both sides of second equation are multiplied by 4 + \end{minipage}} + \LinkNodes{% + \begin{minipage}{3cm} + The first equation is subtracted from second + \end{minipage}} + \LinkNodes{$\div 5$} + \LinkNodes{% + \begin{minipage}{3cm} + As a result, $x = 2$, this value is then substituted in the first equation + \end{minipage}} + \LinkNodes{% + \begin{minipage}{3cm} + $6$ is subtracted from both sides + \end{minipage}} + \LinkNodes{$\div 4$} + \end{NodesList} +\end{minipage} + +The solution is $\{(x=2~;~y=1)\}$ +\end{document} +% Encoding : utf8 +% Author : Alain Matthes (2008) +% Engine : pdfLaTeX (LaTeX only with pdftex >= 1.40) +% Packages : xkeyval, tikz with arrow library, amsmath, etex, ifthen +% Remark : needs two compilations
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-linknodes/examples/quadratic.pdf b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/examples/quadratic.pdf Binary files differnew file mode 100644 index 0000000000..75011f8643 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/examples/quadratic.pdf diff --git a/obsolete/macros/latex/contrib/tkz/tkz-linknodes/examples/system.pdf b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/examples/system.pdf Binary files differnew file mode 100644 index 0000000000..e0e38f3f46 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/examples/system.pdf diff --git a/obsolete/macros/latex/contrib/tkz/tkz-linknodes/latex/tkz-linknodes.sty b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/latex/tkz-linknodes.sty new file mode 100644 index 0000000000..2c6f082dcf --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/latex/tkz-linknodes.sty @@ -0,0 +1,267 @@ +% tkz-linknodes.sty 2009-02-28 alain matthes +% encoding : utf8 +% linknodesdoc.tex +% Created by Alain Matthes on 2008-02-28. +% Copyright (C) 2009 Alain Matthes +% +% This file may be distributed and/or modified +% +% 1. under the LaTeX Project Public License , either version 1.3 +% of this license or (at your option) any later version and/or +% 2. under the GNU Public License. +% +% See the file doc/generic/pgf/licenses/LICENSE for more details.% +% See http://www.latex-project.org/lppl.txt for details. +% +% +% ``tkz-linknodes.sty'' is the english doc of tkz-linknodes +% +% +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% % +% tkz-linknodes.sty encodage : utf8 % +% % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% % +% Créé par Alain Matthes le 12-10-2007. % +% d'après une idée et avec l'aide de Philippe Ivaldi % +% % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +%% 22/08/2008 +%% Objet : création de flèches pour montrer des opérateurs +%% aritmétiques dans des environnements comme "aligned" +%<---------------------------------------------------------------------------> +%<---------------------------------------------------------------------------> +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{tkz-linknodes}[2018/09/03 v1.1d tkz-linknodes] +\ifx\e@alloc\@undefined + \RequirePackage{etex} +\fi +\RequirePackage{ifthen} +\RequirePackage{xkeyval}[2005/11/25] +\RequirePackage{tikz} +\RequirePackage{amsmath} +\usetikzlibrary{arrows} +%<---------------------------------------------------------------------------> +% Style +%<---------------------------------------------------------------------------> +\tikzset{ArrowStyle/.style={>=latex,->,text=black}} +\tikzset{LabelStyle/.style={pos=0.25,right}} +\tikzset{ReverseStyle/.style={pos=0.25,left}} +\tikzset{NodeStyle/.style={}} +\tikzset{NodeHStyle/.style={}} +%<---------------------------------------------------------------------------> +\define@cmdkey [TK] {SUM} {margin}{} +\define@cmdkey [TK] {SUM} {dy}{} +\presetkeys [TK] {SUM} {margin = 2 cm,% + dy = 1.5pt}{}% +%<---------------------------------------------------------------------------> +\newcommand*{\SetUpOpEnv}[1][]{% + \setkeys [TK] {SUM} {#1}% + \presetkeys [TK] {node} {margin = \cmdTK@SUM@margin,% + dy = \cmdTK@SUM@dy}{}% +}% +%<---------------------------------------------------------------------------> +% Init +%<---------------------------------------------------------------------------> +\newdimen\p@intx +\newdimen\p@inty +\newdimen\p@intCx +\newdimen\p@intCy +\newdimen\p@intNx +\newdimen\p@intNy +%<---------------------------------------------------------------------------> +\newcounter{C@NumTab}\setcounter{C@NumTab}{0} +\newcounter{C@NumGroup}\setcounter{C@NumGroup}{0} +\newcounter{C@NextNode}\setcounter{C@NextNode}{0} +\newcounter{NumC@Node}\setcounter{NumC@Node}{0} +\newcounter{NumC@Stop}\setcounter{NumC@Stop}{0} +\newcounter{C@CurrentStop}\setcounter{C@CurrentStop}{0} +\newcounter{C@CurrentNode}\setcounter{C@CurrentNode}{0} +\newcounter{C@CurrentGroup}\setcounter{C@CurrentGroup}{0} +%<---------------------------------------------------------------------------> +\newboolean{B@FirstLink}\setboolean{B@FirstLink}{true} +\newboolean{B@NewGroup}\setboolean{B@NewGroup}{false} +\newboolean{B@DeltaBegin}\setboolean{B@DeltaBegin}{false} +\newboolean{B@DeltaEnd}\setboolean{B@DeltaEnd}{false} +%<---------------------------------------------------------------------------> +\newcommand*{\@SetTab}{% + \ifnum \value{C@NumTab}>25\relax% + \setcounter{C@NumTab}{1}% + \else% + \stepcounter{C@NumTab}% + \fi% + \setcounter{C@NumGroup}{0}% + \newcommand*{\PrefixCurrentTab}{\alph{C@NumTab}} + \setboolean{B@FirstLink}{true} + \setboolean{B@NewGroup}{false} + \setcounter{C@NumGroup}{0} + \setcounter{C@CurrentGroup}{0} + \setcounter{NumC@Node}{0} + \setcounter{NumC@Stop}{0} + \setcounter{C@NextNode}{0} + \setcounter{C@CurrentStop}{0} + \setcounter{C@CurrentNode}{0} +}% +%<---------------------------------------------------------------------------> +\newcommand*{\@CreateCurrentStop}[1]{% + \@ifundefined{c@C@Stop\@alph{#1}}{% + \newcounter{C@Stop\@alph{#1}}\stepcounter{NumC@Stop}}{}% + \setcounter{C@Stop\@alph{#1}}{0}% +} +%<---------------------------------------------------------------------------> +\newcommand*{\@CreateCurrentNode}[1]{% + \@ifundefined{c@C@Node\@alph{#1}}{% + \newcounter{C@Node\@alph{#1}}\stepcounter{NumC@Node}}{}% + \setcounter{C@Node\@alph{#1}}{0}% +}% +%<---------------------------------------------------------------------------> +\newcommand*{\@CreateNewGroup}{% + \stepcounter{C@NumGroup}% + \@CreateCurrentStop{\theC@NumGroup}% + \@CreateCurrentNode{\theC@NumGroup}% +}% +%<---------------------------------------------------------------------------> +\newcommand*{\AddNode}[1][1]{% + \setcounter{C@CurrentGroup}{#1}% + \ifnum \value{C@NumGroup}<#1\relax% + \@ifundefined{c@C@Node\@alph{#1}}{% + \@CreateNewGroup}{% + \stepcounter{C@NumGroup}% + \setcounter{C@Node\@alph{#1}}{0}% + \setcounter{C@Stop\@alph{#1}}{0}% + }% + \fi% + \stepcounter{C@Node\@alph{#1}}% + \stepcounter{C@Stop\@alph{#1}}% + \begin{tikzpicture}[remember picture]% + \node[NodeStyle]% + (\PrefixCurrentTab-\theC@CurrentGroup-\@nameuse{theC@Node\@alph{#1}}){};% + \end{tikzpicture}% +\ignorespaces +}% +\newcommand*{\AddRevNode}{% + \begin{tikzpicture}[remember picture]% + \node[NodeStyle]% + (reverse@node){};% + \end{tikzpicture}% +\ignorespaces } +%<---------------------------------------------------------------------------> +%<---------------------------------------------------------------------------> +%<---------------------------------------------------------------------------> +%<---------------------------------------------------------------------------> +\newcommand*{\@NewNextNode}{% + \setcounter{C@NextNode}{\value{C@CurrentNode}}% + \stepcounter{C@NextNode}}% +%<---------------------------------------------------------------------------> +\newcommand*{\@UseNewGroup}[1]{% dépend du niveau + \setcounter{C@CurrentNode}{1}% + \setcounter{C@CurrentStop}{\value{C@Stop\@alph{#1}}}}% +%<---------------------------------------------------------------------------> +\define@cmdkey [TK] {node} {Bshift}{}% +\define@cmdkey [TK] {node} {Mshift}{}% +\define@cmdkey [TK] {node} {Eshift}{}% +\define@cmdkey [TK] {node} {margin}{}% +\define@cmdkey [TK] {node} {dy}{}% +\presetkeys [TK] {node} {dy = 1.5pt,% + margin = 2 cm, + Bshift = -6cm, + Mshift = -7cm, + Eshift = -6cm}{}% +%<---------------------------------------------------------------------------> +\newcommand{\LinkNodes}[2][]{% +\setkeys[TK]{node}{#1}% +\ifthenelse{\boolean{B@FirstLink}}{\setcounter{C@CurrentGroup}{1}% +\setboolean{B@NewGroup}{false}% +\@UseNewGroup{\theC@CurrentGroup}\@NewNextNode% +\setboolean{B@DeltaBegin}{false}}{% +\ifthenelse{\boolean{B@NewGroup}}{% +\setboolean{B@DeltaBegin}{false}}{\setboolean{B@DeltaBegin}{true}}}% +\def\TGCN{\PrefixCurrentTab-\theC@CurrentGroup-\theC@CurrentNode}% +\def\TGNN{\PrefixCurrentTab-\theC@CurrentGroup-\theC@NextNode}% +% +% +\begin{tikzpicture}[remember picture,overlay]% +\pgfextractx{\pgf@x}{\pgfpointanchor{\TGCN}{center}}% +\pgfextracty{\pgf@y}{\pgfpointanchor{\TGCN}{center}}% +\p@intCx\pgf@x\p@intCy\pgf@y% +\pgfextractx{\pgf@x}{\pgfpointanchor{\TGNN}{center}}% +\pgfextracty{\pgf@y}{\pgfpointanchor{\TGNN}{center}}% +\p@intNx\pgf@x\p@intNy\pgf@y +\p@inty\p@intCy\p@intx\linewidth +\advance\p@intx by-\cmdTK@node@margin +\ifthenelse{\boolean{B@FirstLink}}{% +\setboolean{B@FirstLink}{false}% +\xdef\lastp@intx{\p@intCx}% +\global\let\lastp@intx\lastp@intx}{}% +\ifthenelse{\boolean{B@NewGroup}}{\xdef\lastp@inty{\p@intCy}% +\global\let\lastp@inty\lastp@inty}{\xdef\lastp@inty{\p@inty}% +\global\let\lastp@inty\lastp@inty}% +\ifthenelse{\value{C@NextNode}=\value{C@CurrentStop}}{% +\setboolean{B@DeltaEnd}{false}}{\setboolean{B@DeltaEnd}{true}}% +\ifthenelse{\boolean{B@DeltaBegin}}{\advance\p@inty by -\cmdTK@node@dy}{}% +% +\path[coordinate] (\lastp@intx,\lastp@inty) coordinate(Begin) + (\p@intx,\lastp@inty) coordinate(Inter);% +\ifthenelse{\boolean{B@DeltaEnd}}{% +\path[coordinate] ([yshift=\cmdTK@node@dy]\TGNN.center)coordinate(End);}% +{\path[coordinate](\TGNN.center) coordinate(End);}% +% +\draw[ArrowStyle] (Begin)--(Inter)|-(End) node[LabelStyle]{#2};% +\ifTK@NL@reverse +\draw[ArrowStyle] ([xshift=\cmdTK@node@Bshift]Begin)--([xshift=\cmdTK@node@Mshift]Inter)|-([xshift=\cmdTK@node@Eshift]End) node[LabelStyle,ReverseStyle]{#2};% +\fi +% +\xdef\lastp@inty{\p@intCy}\global\let\lastp@inty\lastp@inty% +\ifthenelse{\value{C@NextNode}=\value{C@CurrentStop}}{% +\ifthenelse{\value{C@CurrentGroup}<\value{C@NumGroup}}{% +\global\B@NewGrouptrue\stepcounter{C@CurrentGroup}% +\@UseNewGroup{\theC@CurrentGroup}\@NewNextNode}{}}{\stepcounter{C@CurrentNode}% +\@NewNextNode}% +\end{tikzpicture}% +\setboolean{B@FirstLink}{false}% +\ignorespaces +}% +%<---------------------------------------------------------------------------> +\newcommand*{\UpGroup}[1][1]{% + \stepcounter{C@CurrentGroup}% + \setboolean{B@NewGroup}{true}% +}% +%<---------------------------------------------------------------------------> +\newcommand*{\UpNode}[1][1]{% + \addtocounter{C@CurrentNode}{#1} +} +%<---------------------------------------------------------------------------> +\define@cmdkey [TK] {NL} {margin}{} +\define@cmdkey [TK] {NL} {dy}{} +\define@boolkey[TK] {NL} {reverse}[true]{} +\presetkeys [TK] {NL} {margin = 2 cm,reverse=false, + dy = 1.5pt}{} +%<---------------------------------------------------------------------------> +\newenvironment{NodesList}[1][]{% + \setkeys [TK] {NL} {#1} + \presetkeys [TK] {node} {margin = \cmdTK@NL@margin, + dy = \cmdTK@NL@dy}{}% + \@SetTab + \@CreateNewGroup + \stepcounter{C@CurrentGroup}% + }{}% +%<---------------------------------------------------------------------------> +\newcommand\AddHNode[2]{} +\def\AddHNode{\pgfutil@ifnextchar[{\Add@HNode}{\Add@HNode[]}} +\def\Add@HNode[#1](#2)#3{% #2 = name of the node #3 content of node +\begin{tikzpicture}[remember picture,baseline=(#2.base)] + \node[outer sep = 2pt, + inner sep = 0pt, + NodeHStyle, + #1](#2){#3}; +\end{tikzpicture} +} + +\newcommand\LinkHNode[4]{% +\begin{tikzpicture}[remember picture,overlay] + \draw[<->] (#1) -- ++(0,#4) -| (#2) + node[fill=white,near start] {\small #3}; +\end{tikzpicture}% +} %<---------------------------------------------------------------------------> +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-linknodes/readme-linknodes.txt b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/readme-linknodes.txt new file mode 100644 index 0000000000..a5cd9ba038 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-linknodes/readme-linknodes.txt @@ -0,0 +1,67 @@ +Encoding : utf8 +Author : Alain Matthes +Date : 19/09/2018 +Package : tkz-linknodes.sty +Version : 1.1d + + + The linknodes package + +------------------------------------------------------------------------- +A. Purpose +------------------------------------------------------------------------- + +The 'linknodes' package provides macros for adding links between the lines + of a mathematic environment like 'aligned' or 'align'. + +------------------------------------------------------------------------- +B. Installation +------------------------------------------------------------------------- + +You need the following packages in your distribution: + +xkeyval [2005/11/25] +tikz 2.00 +etex +ifthen +amsmath + +On Unix like systems, copy the file 'tkz-linknodes.sty' into + 'texmf/tex/latex/' or + put all files somewhere where TeX can find them, if necessary then run 'texhash'. + +With MiKTeX, copy the file 'linknodes.sty' into 'C:\texmf\tex\latex', then +run 'MiKTeX Options'. In the 'File name database' section, click on +'Refresh now'. + +------------------------------------------------------------------------- +C. Content of the folder 'linknodes' +------------------------------------------------------------------------- + +README This file. +tkz-linknodes.sty The package. +tkz-linknodes-screen.pdf The documentation in english(?) with a lot of examples. +linknodes.zip Documentation with sources and examples. + +------------------------------------------------------------------------- +D. Licence +------------------------------------------------------------------------- + +You may freely use and distribute this package under the terms of lppl and/or gpl. + +Read file TKZdoc-tab.pdf.pdf in the doc directory, for the complete documentation + +------------------------------------------------------------------------- +E. Bugs, suggestions, contact +------------------------------------------------------------------------- + +The author of the 'linknodes' package is Alain Matthes. +Email <al.ma at mac dot com> to submit bug reports, request new features, etc. +I maintain two web sites featuring TikZ stuff called +Altermundus <http://altermundus.fr> and <http://altermundus.com>. + + Alain Matthes + 5 rue de Valence + Paris 75005 + + al (dot) ma (at) mac (dot) com diff --git a/obsolete/macros/latex/contrib/tkz/tkz-tab/README b/obsolete/macros/latex/contrib/tkz/tkz-tab/README new file mode 100644 index 0000000000..606e09d285 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-tab/README @@ -0,0 +1,63 @@ +A. Purpose + +The 'tkz-tab' package is built on top of PGF and its associated front-end, TikZ and is a (La)TeX-friendly drawing package. The aim is to provide some useful macros to build tables showing variations of functions as they are used in France. +These macros may be used by only LaTeX TeX users. The documentation is in French. + +B. Features + -- works with utf8 and pdflatex + -- provides 'help' option, + -- allows to draw tables of variations with a "forbidden zone", + -- allows to use TikZ. + +C. Licence + +You may freely use and distribute this package under the terms of lppl and/or gpl. + +Read file TKZdoc-tab.pdf.pdf in the doc directory, for the complete documentation + +D. Contents of the folder (encoding utf8) + + -- README (this file) + -- inputs: tkz-tab.sty + -- doc: TKZdoc-tab.pdf, + tkz-doc.cls, + tkzexample.sty, + doctab.ist, + TKZdoc-tab-adapt.tex + TKZdoc-tab-examples.tex, + TKZdoc-tab-images.tex, + TKZdoc-tab-init.tex, + TKZdoc-tab-install.tex, + TKZdoc-tab-main.tex + TKZdoc-tab-sign.tex, + TKZdoc-tab-slope.tex, + TKZdoc-tab-tangente.tex, + TKZdoc-tab-tv.tex, + TKZdoc-tab-valeurs.tex, + TKZdoc-tab-variation.tex + var-latin1.tex ( example with latin1) + var-latin1.pdf + sign-latin1.tex( example with latin1) + sign-latin1.pdf + +tkz-doc.cls is a class (beta version) to make the documentation. You need also the +tkzexample.sty package (beta version) and KOMA-Script 2009/01/24 v3.02b to + compile the documentation. + +E. Installation + +If you need to install it by yourself, a TDS compliant zip archive is +provided (tkz-tab.zip). Just download that file, and unpack it in +your TDS directory (~/texmf for Unix-like systems). If you only need to use + 'tkz-tab.sty' then you have to copy 'tkz-tab.sty' into '~/texmf/tex/latex'. + If you want also to compile the documentation then you need to copy tkz-doc.cls and tkzexample.sty in the same folder and you need to use pdf(e)tex. + +With MiKTeX, copy folder 'tkz-tab.sty' into 'C:\texmf\tex\latex', then +run 'MiKTeX Options'. In the 'File name database' section, click on +'Refresh now'. + +F. The author of the 'tkz-tab.sty' package is Alain Matthes. +-- +Alain Matthes, <al.ma@mac.com> +February, 24th, 2009 + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZ-doc-tab-faq.tex b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZ-doc-tab-faq.tex new file mode 100644 index 0000000000..f691281b78 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZ-doc-tab-faq.tex @@ -0,0 +1 @@ +dans la commande tkzTabVar, emplois de ’/’ qui me semblent superflus avec la nouvelle syntaxe. Il serait bon, je pense, de préciser que, dans le cas d’un tableau comportant plusieurs lignes de variations, le placement de la commande tkzTabVal doit venir juste après la commande tkzTab- Var définissant la ligne de variations sur laquelle on souhaite placer les valeurs intermédiaires.
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-adapt.tex b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-adapt.tex new file mode 100644 index 0000000000..01b926f9e3 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-adapt.tex @@ -0,0 +1,532 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-tab/doc/TKZdoc-tab-main.tex +% $Id$ +% v1.0c TKZdoc-tab-adapt +% +% Created by Alain Matthes on 2010-02-23. +% Copyright (c) 2010 __Collège Sévigné__. All rights reserved. +\section{Personnalisation des tableaux}\label{pers} + +\subsection{\texttt{\textcolor{red}{help}} : option commune aux principales macros} + +\subsubsection{\texttt{\textcolor{red}{help}} : option de \addbs{tkzTabInit}} +Cette option permet de connaître la structure d'un tableau. \tkzname{deltacl=1} permet d'espacer un peu les points et les labels + +\begin{tkzexample}[small] + \begin{tikzpicture} + \tkzTabInit[deltacl=1,espcl=8,help]% + {$x$/1,Signe\\ de $\dfrac{1}{x}$/1.5/1.5,Variation\\ de $\ln$/2}% + {$0$,$+\infty$}% + \end{tikzpicture} +\end{tkzexample} + + +\subsubsection{\texttt{\textcolor{red}{help}} : option de \addbs{tkzTabLine}} +Afin de mieux voir les labels il est préférable de pas employer l'option \tkzname{help} en même temps sur toutes les macros. +\begin{tkzexample}[small] + \begin{tikzpicture} + \tkzTabInit[deltacl=1,espcl=8]% + {$x$/1,Signe\\ de $\dfrac{1}{x}$/1.5/1.5,Variation\\ de $\ln$/2}% + {$0$,$+\infty$}% + \tkzTabLine[help]{,,}% +% \tkzTabVar {D-/ $-\infty$, +/$+\infty$ } + \end{tikzpicture} +\end{tkzexample} + +\subsubsection{\texttt{\textcolor{red}{help}} : option de \addbs{tkzTabVar}} +Cette option montre les nodes qui sont utilisés pour le tracé des flèches de variations. Afin de ne pas multiplier les labels de nodes, seuls les nodes utilisés ont été nommés. Une flèche débute par un node nommé \tkzname{FR} (right = droite du node) et se termine par un node nommé \tkzname{FL} (left gauche du node) +\begin{tkzexample}[small] + \begin{tikzpicture} + \tkzTabInit[deltacl=1,espcl=8]% + {$x$/1,Signe\\ de $\dfrac{1}{x}$/1.5/1.5,Variation\\ de $\ln$/1.5}% + {$0$,$+\infty$}% + \tkzTabLine{d,+,}% + \tkzTabVar [help]{D-/ $-\infty$, +/$+\infty$ } + \end{tikzpicture} +\end{tkzexample} + +Voici un exemple plus complexe + +\begin{tkzexample}[small] + \begin{tikzpicture} + \tkzTabInit + {$x$ /1, + $\dfrac{-1}{x^2}\ {\E}^{\left(\dfrac{1}{x}\right)}$ /1.5, + ${\E}^{\left(\dfrac{1}{x}\right)}$ /2}% + {$-\infty$ ,$0$ , $+\infty$}% + \tkzTabLine{t,-,d,-,t} + \tkzTabVar[help]{ + / $1$ ,-CD+ / $0$ / $+\infty$ , - / $1$ }% + \end{tikzpicture} +\end{tkzexample} + +ce qui donne +\begin{tkzexample}[small] + \begin{tikzpicture} + \tkzTabInit + {$x$ /1, + $\dfrac{-1}{x^2}\ {\E}^{\left(\dfrac{1}{x}\right)}$ /1.5, + ${\E}^{\left(\dfrac{1}{x}\right)}$ /2}% + {$-\infty$ ,$0$ , $+\infty$}% + \tkzTabLine{t,-,d,-,t} + \tkzTabVar{ + / $1$ ,-CD+ / $0$ / $+\infty$ , - / $1$ }% + \end{tikzpicture} +\end{tkzexample} + +La connaissance de tous ces points et nodes permet de personnaliser les tableaux. Quelques explications supplémentaires sont données dans le paragraphe suivant. + +\subsection{Les structures} +\subsubsection{La structure principale} + +La macro \tkzname{tkzTabInit} définit les principaux \tkzname{nodes}. Ce sont les arguments de cette macro qui déterminent le nombre de nodes. + +Par exemple, si le tableau comporte 3 lignes alors les nodes $T00$, $T01$, $T02$, $T10$, $T11$, $T12$, $T03$, $T13$ et $T23$ sont créés, ainsi que $F0$, $F1$ et $F2$. $Tij$ représente un point de la colonne $i$ et de la ligne $j$. Pourquoi cet ordre ? je n'en sais rien + +\begin{tkzexample}[vbox,small] + \begin{tikzpicture} + \tkzTabInit[color=false,espcl=4,lgt=3]{% + \colorbox{red}{\textcolor{white}{$\scriptscriptstyle F0$}} / 1,% + \colorbox{red}{\textcolor{white}{$\scriptscriptstyle F1$}} / 1,% + \colorbox{red}{\textcolor{white}{$\scriptscriptstyle F2$}} / 1}% + { , }% + \foreach \ligne in {0,...,3}{% + \foreach \colonne in {0,1,2}{% + \draw[fill=blue] (T\colonne\ligne) circle(2pt) ;}} + \draw (T00) node[above right=4pt] {\scriptsize T00}; + \draw (T01) node[above right=4pt] {\scriptsize T01}; + \draw (T02) node[above right=4pt] {\scriptsize T02}; + \draw (T03) node[above right=4pt] {\scriptsize T03}; + \draw (T20) node[above right=4pt] {\scriptsize T20}; + \draw (T21) node[above right=4pt] {\scriptsize T21}; + \draw (T22) node[above right=4pt] {\scriptsize T22}; + \draw (T23) node[above right=4pt] {\scriptsize T23}; + \draw (T10) node[above right=4pt] {\scriptsize T10}; + \draw (T13) node[above right=4pt] {\scriptsize T13}; + \draw (T11) node[above right=3pt] {\scriptsize T11}; + \draw (T12) node[above right=3pt] {\scriptsize T12}; + \tikzset{bluesty/.style={fill=blue,<-,>=latex,shorten <=2pt}} + \draw[bluesty] (T20) -- +(2,0) node[right,blue]{ligne $0$}; + \draw[bluesty] (T21) -- +(2,0) node[right,blue]{ligne $1$}; + \draw[bluesty] (T22) -- +(2,0) node[right,blue]{ligne $2$}; + \draw[bluesty] (T23) -- +(2,0) node[right,blue]{ligne $3$}; + \draw[bluesty] (T03) -- +(0,-2) node[midway,above,sloped,blue]{colonne $0$}; + \draw[bluesty] (T13) -- +(0,-2) node[midway,above,sloped,blue]{colonne $1$}; + \draw[bluesty] (T23) -- +(0,-2) node[midway,above,sloped,blue]{colonne $2$}; + \end{tikzpicture} +\end{tkzexample} + + +Ainsi la structure principale de ce tableau possède exactement trois filets verticaux et quatre horizontaux. Soient \tkzname{12} points principaux définis par les intersections et trois nodes $F0$, $F1$ et $F2$. + +\subsubsection{La structure interne} +J'appelle structure interne, l'ensemble des points et nodes qui vont être définis par les antécédents dans la partie droite du tableau. Le second argument de la macro \tkzname{tkzTabInit} définit cette structure. Cet argument donne le nombre de labels (antécédents) qui vont être placés sur la première ligne et qui vont être les repères pour les lignes de signes et de variations. + + +\begin{tkzexample}[vbox,small] + \begin{tikzpicture} + \tkzTabInit[color=false,espcl=4,lgt=3]{% + \colorbox{red} {\textcolor{white}{$\scriptscriptstyle F0$}} / 1, + \colorbox{red} {\textcolor{white}{$\scriptscriptstyle F1$}} / 1, + \colorbox{red} {\textcolor{white}{$\scriptscriptstyle F2$}} / 1}{% + \colorbox{blue}{\textcolor{white}{$\scriptscriptstyle L1$}}, + \colorbox{blue}{\textcolor{white}{$\scriptscriptstyle L2$}}, + \colorbox{blue}{\textcolor{white}{$\scriptscriptstyle L3$}}}% + \foreach \ligne in {0,...,3}{% + \foreach \colonne in {0,1,2}{% + \draw[fill=blue] (T\colonne\ligne) circle(2pt) ;}} + \foreach \colonne in {1,2,3}{% + \draw[fill=red] (N\colonne 0) circle(2pt)% + node[above,red] {\scriptsize N{\colonne 0}};} + \foreach \ligne in {1,2,3}{% + \foreach \colonne in {1,2,3}{% + \draw[fill=red] (N\colonne\ligne) circle(2pt)% + node[above,red] {\scriptsize N\colonne\ligne};}} + \foreach \ligne in {0,1,2,3}{% + \foreach \colonne in {1,2}{% + \draw[fill=green] (M\colonne\ligne) circle(2pt) + node[below right,green] {\scriptsize M\colonne\ligne};}} + \tikzset{redsty/.style={fill=red,<-,>=latex,shorten <=2pt}} + \draw[redsty] (T20) -- +(2,0) node[right,red]{ligne $0$}; + \draw[redsty] (T21) -- +(2,0) node[right,red]{ligne $1$}; + \draw[redsty] (T22) -- +(2,0) node[right,red]{ligne $2$}; + \draw[redsty] (T23) -- +(2,0) node[right,red]{ligne $3$}; + \draw[redsty] (N13) -- +(0,-2) node[midway,above,sloped,red]{colonne $1$}; + \draw[redsty] (N23) -- +(0,-2) node[midway,above,sloped,red]{colonne $2$}; + \draw[redsty] (N33) -- +(0,-2) node[midway,above,sloped,red]{colonne $3$}; + \end{tikzpicture} +\end{tkzexample} + + +\subsubsection{La structure secondaire} +Les points $Zij$, $Sij$ sont définis à partir de la structure interne (voir le tableau précédent) mais seulement avec l'usage de la macro \tkzcname{tkzTabLine}. Les points $FRij$ et $FLij$ eux sont définis avec l'usage de la macro \tkzcname{tkzTabVar} + +\begin{tkzexample}[small] + \begin{tikzpicture} + \tkzTabInit + {$x$ /1, + $\dfrac{-1}{x^2}\ {\E}^{\left(\dfrac{1}{x}\right)}$ /1.5, + ${\E}^{\left(\dfrac{1}{x}\right)}$ /2}% + {$-\infty$ ,$0$ , $+\infty$}% + \tkzTabLine[help]{t , - , d , - , t} + \tkzTabVar[help]{ + / $1$ ,-CD+ / $0$ / $+\infty$ , - / $1$ }% + \end{tikzpicture} +\end{tkzexample} +\subsubsection{Conclusion} +\begin{tikzpicture} + +\tkzTabInit[color=false,espcl=4,lgt=3,deltacl=1]{% +\colorbox{red}{\textcolor{white} {$\scriptscriptstyle F0$}} / 1, +\colorbox{red}{\textcolor{white} {$\scriptscriptstyle F1$}} / 2, +\colorbox{red}{\textcolor{white} {$\scriptscriptstyle F2$}} / 2}{% +\colorbox{blue}{\textcolor{white}{$\scriptscriptstyle L1$}} , +\colorbox{blue}{\textcolor{white}{$\scriptscriptstyle L2$}} , +\colorbox{blue}{\textcolor{white}{$\scriptscriptstyle L3$}} } +\foreach \ligne in {0,...,3}{% + \foreach \colonne in {0,1,2}{% + \draw[fill=blue] (T\colonne\ligne) circle(2pt) ;}} +\draw (T00) node[left = 4pt] {\scriptsize T00}; +\draw (T01) node[left = 4pt] {\scriptsize T01}; +\draw (T02) node[left = 4pt] {\scriptsize T02}; +\draw (T03) node[left = 4pt] {\scriptsize T03}; +\draw (T20) node[right = 4pt] {\scriptsize T20}; +\draw (T21) node[right = 4pt] {\scriptsize T21}; +\draw (T22) node[right = 4pt] {\scriptsize T22}; +\draw (T23) node[right = 4pt] {\scriptsize T23}; +\draw (T10) node[above = 4pt] {\scriptsize T10}; +\draw (T13) node[below = 4pt] {\scriptsize T13}; +\draw (T11) node[above left= 3pt] {\scriptsize T11}; +\draw (T12) node[above left= 3pt] {\scriptsize T12}; + \foreach \colonne in {1,2,3} + {\draw[fill=red] (N\colonne 0) circle(2pt)% + node[above right] {\scriptsize N{\colonne 0}};} +\foreach \ligne in {1,2,3} +{ \foreach \colonne in {1,2,3} + {\draw[fill=red] (N\colonne\ligne) circle(2pt)% + node[below right] {\scriptsize N\colonne\ligne};}} +\foreach \ligne in {0,1,2,3} +{ \foreach \colonne in {1,2} + {\draw[fill=green] (M\colonne\ligne) circle(2pt)% + node[below right] {\scriptsize M\colonne\ligne};}} +\foreach \colonne in {1,2} + {\path (M\colonne 1) to (M\colonne 2)% + node[midway](S\colonne 1) {}; + \draw[fill=yellow] (S\colonne 1) circle(2pt)% + node[below right] {\scriptsize S\colonne 1};} +\foreach \colonne in {1,2,3} + {\path (N\colonne 1) to (N\colonne 2)% + node[midway](Z\colonne 1) {}; + \draw[fill=yellow] (Z\colonne 1) circle(2pt)% + node[below right] {\scriptsize Z\colonne 1};} +\end{tikzpicture} + +\bigskip +\begin{tabular}{ccllc} +\toprule +type & notation & repère & conditions & utilisation\\ +\midrule +\tikz \draw[fill=red] (0,0) rectangle (0.3,0.3) node(X) {}; & Fj & ligne & $0\leq j\leq p$ & expressions,formules \\ +\midrule +\tikz \draw[fill=blue] (0,0) rectangle (0.3,0.3)node(X) {}; & Li & colonne& $1\leq i\leq n$ & valeurs significatives pour les variations \\ +\midrule +\tikz \draw[fill=blue] circle (2pt)node(X) {}; &% + Tij & colonne& $0\leq i\leq 2$ ;& structure principale du tableau\\ +& & ligne &$0\leq j\leq p$ & il existe une ligne $0$ et une colonne $0$\\ +\midrule +\tikz \draw[fill=green] circle (2pt)node(X) {}; & Nij &colonne &$1\leq i\leq n$ & structure interne du tableau \\ +& & ligne &$0\leq j\leq p$ & \\ +\midrule +\tikz \draw[fill=green] circle (2pt)node(X) {}; & Mij &colonne &$1\leq i\leq n$ & structure interne du tableau \\ +& & ligne &$0\leq j\leq p$ & \\ +\midrule +\tikz \draw[fill=yellow] circle (2pt)node(X) {}; & Sij &colonne &$1\leq i\leq n$ & structure secondaire du tableau \\ +& & ligne &$1\leq j\leq q$ & \\ +\midrule +\tikz \draw[fill=yellow] circle (2pt)node(X) {};& Zij &colonne &$1\leq i\leq n$ & structure secondaire du tableau \\ +& & ligne &$1\leq j\leq q$ & \\ +\midrule +\end{tabular} + + +\subsection{Ajustement des dimensions} +Nous avons vu précédemment que l'on pouvait modifier certaines dimensions à l'aide de l'emploi d'options. Le code du tableau suivant utilise les structures du tableau + +\begin{tkzexample}[small] + \begin{tikzpicture} + \tkzTabInit + {$x$ / 1} + {$a_1$ , $a_2$ , $a_3$} + \begin{scope}[arstyle/.style={>=latex,#1,<->}] + \draw[arstyle=blue] (N10) to node[above,color=blue]% + {\scriptsize $ espcl = 2$ cm} (N20); + \draw[arstyle=blue] (N20) to node[above,color=blue]% + {\scriptsize $ espcl = 2$ cm} (N30); + \draw[arstyle=red] (T10) to node[above=12pt,color=red]% + {\scriptsize $ deltacl = 0,5$ cm} (N10); + \draw[arstyle=red] (N30) to node[above=12pt,color=red]% + {\scriptsize $ deltacl = 0,5$ cm} (T20); + \draw[arstyle=blue] (T00) to node[above,color=blue]% + {\scriptsize $ lgt = 2$ cm} (T10); + \end{scope} + \end{tikzpicture} +\end{tkzexample} + +\subsubsection{\texttt{\textcolor{red}{scale}} permet d'ajuster la taille d'un tableau} +\index{scale} + + +\begin{tkzexample}[width=7cm,small] +\begin{tikzpicture}[scale=.8] + \tkzTabInit[lgt=3]{ $x$ / 1 , $\ln(x)$ /2} + { $0$ , $+\infty$ } +\end{tikzpicture} +\end{tkzexample} + +Il est aussi possible d'utiliser \tkzname{xscale} et \tkzname{yscale}. + +\begin{tkzexample}[width=7cm,small] +\begin{tikzpicture}[xscale=.8,yscale=1.5] + \tkzTabInit[lgt=3]{ $x$ / 1 , $\ln(x)$ /2} + { $0$ , $+\infty$ } +\end{tikzpicture} +\end{tkzexample} + + +\subsection{Exemples d'utilisation} +\subsubsection{Une croix sur un tableau} + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tkzTab{$x$ / 1, $f'(x)$ / 1.5, $f(x)$ / 3}% + {$-5$ , $-2$ , $1$ , $+\infty$}% + {d,+,0,-,0,+,} + { D-/ / $-\infty$ ,% + +/ $\dfrac{2}{3}$ / ,% + -/ $0$ / ,% + +/ $+\infty$ / }% + \draw[line width=2pt,red] (T00) to (T23); + \draw[line width=2pt,red] (T03) to (T20); +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Une croix sur une case} + +L'intérêt est de faciliter la personnalisation d'un tableau. Par exemple, si nous souhaitons ajouter un tracé comme une croix dans une case, on peut procéder ainsi : + +\begin{tkzexample}[small] +\begin{tikzpicture} +\tkzTabInit% + {$x$ /1, + $x^2-3x+2$ /1, + $(x-\E)\ln x$ /1} + {$0$ , $\E$ , $+\infty$} + \draw[red] (T12) -- (T23); + \draw[red] (T13) -- (T22); +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Mise en évidence de signes} +\medskip +On peut ainsi placer des signes sur la seconde ligne qui n'a pas été mise en forme par \tkzname{tkzTabLine} mais en connaissant un peu la programmation à l'aide de \TIKZ. + + \begin{tkzexample}[code only] + \path (M11)--(M12) node[midway,draw,fill=red!10] {-}; + \path (M31)--(M32) node[midway,draw,fill=blue!10] {+}; + \end{tkzexample} + + \begin{tkzexample}[small] + \begin{tikzpicture} + \tkzTabInit{$x$ / 1, $\dfrac{2x}{x^2-1}$ /1} + {$-\infty$ , $-1$ , $1$ , $+\infty$} + \path (M11)--(M12) node[midway,draw,fill=red!10] {-}; + \path (M31)--(M32) node[midway,draw,fill=blue!10] {+}; + \end{tikzpicture} + \end{tkzexample} + +mais on peut aussi utiliser un node de la structure secondaire pour cela on utilise +\begin{tkzexample}[] + \tkzname{tkzTabLine}[help] \end{tkzexample} + +\begin{tikzpicture} + \tkzTabInit{$x$ / 1, $\dfrac{2x}{x^2-1}$ /1} + {$-\infty$ , $-1$ , $1$ , $+\infty$} + \tkzTabLine[help]{,,,,,,} +\end{tikzpicture} + +Ensuite il reste à créer des nodes +\begin{tkzexample}[code only] + \node[draw,fill=red!10] at (S11) {-}; + \node[draw,fill=red!10] at (S31) {+}; \end{tkzexample} + + + +\begin{tkzexample}[small] +\begin{tikzpicture} + \tkzTabInit{$x$ / 1, $\dfrac{2x}{x^2-1}$ /1} + {$-\infty$ , $-1$ , $1$ , $+\infty$} + \tkzTabLine{,,,,,,} + \node[draw,fill=red!10] at (S11) {-}; + \node[draw,fill=red!10] at (S31) {+}; +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Structure principale : hachurer une zone} + +On veut par exemple hachurer une zone mais vous ne connaissez pas la notation des nodes. Il suffit de passer \tkzname{help} en option. On obtient ainsi l'emplacement et les noms des nodes. + +\begin{tkzexample}[code only] + \begin{tikzpicture} + \tkzTabInit[help,deltacl=1]{$x$ / 1, $\dfrac{2x}{x^2-1}$ /1,$\ln{(x^2-1)}$/1} + {$-\infty$ , $-1$ , $1$ , $+\infty$} + \end{tikzpicture} +\end{tkzexample} + + +\medskip +On peut hachurer un rectangle par + + \begin{tkzexample}[code only] + \pattern[pattern=north west lines] (N21) rectangle (N33); + \end{tkzexample} + + +\begin{tkzexample}[small] +\begin{tikzpicture} + \tkzTabInit{$x$ / 1 , $\ln{(x^2-1)}$/1} + {$-\infty$ , $-1$ , $1$ , $+\infty$} + \pattern[pattern=north west lines] (N21) rectangle (N32); +\end{tikzpicture} +\end{tkzexample} + + + +\subsubsection{Mise en évidence de certaines zones} + +Afin de mettre en évidence le signe d'une expression du second degré, il est possible de mettre en couleur les parties extérieures. \tkzcname{draw[fill=Red!80,opacity=0.4](N11) rectangle (N22);}. La syntaxe est celle de \TIKZ. Un rectangle est défini par deux sommets opposés. + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tkzTabInit[deltacl=1,lgt=3,espcl=2]% + {$x$ /1,$x^2-3x+2$ /1}% + {$-\infty$ , $1$ , $2$, $+\infty$}% + \tkzTabLine {t,+,0,-,0,+,t} + \draw[fill=Red!80,opacity=0.4](N11) rectangle (N22); + \draw[fill=Red!80,opacity=0.4](N31) rectangle (N42); +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Mise en évidence de valeurs} +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} +\tkzTab +{$x$ /1, +$\dfrac{-1}{x^2}\ {\E}^{\left(\dfrac{1}{x}\right)}$ /1.5, +${\E}^{\left(\dfrac{1}{x}\right)}$ /2}% +{$-\infty$ ,$0$ , $+\infty$}% +{t,-, ,-,t} +{ + / $1$ , -CD+ / \colorbox{red}{\textcolor{white}{$0$}} / $+\infty$ , - / $1$ }% + \node[draw,inner sep=2pt,circle,fill=yellow] at (Z21) {$0$} ; +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Mise en évidence de limites} + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tkzTabInit[espcl=8]% + {$x$/1 , Variation\\ de $\ln$/2}% + {$0$,$+\infty$}% + \tkzTabVar {D-/ $-\infty$, +/$+\infty$ } + \draw[opacity=.3,fill=red] (FR11) circle (10pt); + \draw[opacity=.3,fill=red] (FL21) circle (10pt); + \end{tikzpicture} +\end{tkzexample} + + +\subsubsection{Décoration} +Il est nécessaire de charger une librairie de \TIKZ\footnote{pgf/tikz version 2.00} qui permet des actions de décoration. \NameLib{decorations.pathreplacing} + +\begin{tkzexample}[code only] + \usetikzlibrary{decorations.pathreplacing} + \ldots + \draw[decoration={brace,amplitude=12pt}, + decorate,line width=2pt,red] (T10) -- (T20);\end{tkzexample} + + +\begin{tkzexample}[small] + \begin{tikzpicture} + \tkzTabInit[lgt=3,espcl=1.5] + {$x$ /1, + $x^2-3x+2$ /1, + $(x-\E)\ln x$ /1}% + {$0$,$1$,$2$,$\E$,$+\infty$}% + \draw[fill=Orange,opacity=.3] (N10) rectangle (N53.west); + \draw[decoration={brace,amplitude=12pt}, + decorate,line width=2pt,red] (T10) -- (T20); + \end{tikzpicture} +\end{tkzexample} + + +\subsubsection{Avec de la couleur} +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tkzTabInit[color,colorC = blue!30,colorL = orange!50, + colorT = green!30,colorV = red!50,espcl=8] + {$x$/1,Signe\\ de $\dfrac{1}{x}$ /1.5,Variation\\ de $\ln$ /3} + {$0$,$+\infty$}% + \tkzTabLine{d,+,}% + \tkzTabVar[color=red]{D-/$-\infty$ , +/$+\infty$} + \tkzTabVal[draw]{1}{2}{0.3}{\textcolor{red}{$\text{1}$}}{\textcolor{blue}{$0$}} + \tkzTabVal[draw]{1}{2}{0.6}{\textcolor{red}{$\text{\large e}$}}{\textcolor{blue}{$1$}}% + \draw[fill=gray,opacity=0.6] (T11) rectangle (N13); +\end{tikzpicture} +\end{tkzexample} + + +\subsubsection{Écrire dans un tableau} + +Aucune restriction au niveau de l'écriture, l'exemple suivant : + +\medskip +\begin{tikzpicture} +\tkzTabInit[lgt=5,espcl=3]% + { $x$ /1,% + Il est parfois possible d'obtenir les variations d'une fonction sans déterminer sa dérivée /2,% + $\ln (x) +x$ /1% + }% + { $0$ , $1$ , $+\infty$ }% +\end{tikzpicture} + +\begin{tkzexample}[code only] +\begin{tikzpicture} +\tkzTabInit[lgt=3,espcl=4]% + { $x$ /1,% + Il est parfois ... /2,% + $\ln (x) +x$ /1% + }% + { $0$ , $1$ , $+\infty$ }% +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Tableau de proportionnalité} + +On utilise ici un compteur interne \tkzname{tkz@cnt@pred} du package. l' arrobase \tkzname{@} devient une lettre ordinaire à l'aide des macros \tkzname{makeatletter} et \tkzname{makeatother}. Ce compteur va servir à tracer des filets verticaux afin de séparer les antécédents et les images. + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tkzTabInit[espcl=0.5]{ $x$/1,$f(x)$ /1}% + {1,,2,,3,,4,,5,,6}% + \tkzTabLine{5,,,,10,,,,15,,,,20,,,,25,,,,30}% + \makeatletter + \foreach \x in {1,...,5}{% + \setcounter{tkz@cnt@pred}{\x}\addtocounter{tkz@cnt@pred}{\x} + \draw (N\thetkz@cnt@pred 0.center) to (N\thetkz@cnt@pred 2.center);} + \makeatother + \begin{scope}[->,red,line width=1pt,>=latex'] + \draw (M20) to [bend left] node[above]{$\times 3$} (7.5,0); + \draw (M22) to [bend right] node[below]{$\times 3$} (7.5,-2); + \draw (8,-0.25) to [post,bend left=60] node[midway,above,sloped] {$\times 5$} (8,-1.75); + \end{scope} +\end{tikzpicture} +\end{tkzexample} +\endinput + + + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-bac.tex b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-bac.tex new file mode 100644 index 0000000000..27ba75a82b --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-bac.tex @@ -0,0 +1,206 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-tab/doc/TKZdoc-tab-main.tex +\section{Exemples avec alterqcm.sty et tkz-fct}\label{prof}% +Dans ce chapitre, les exemples sont encore des sujets de Baccalauréat ES utilisant le module \tkzname{alterqcm.sty} mais aussi les modules dérivés de tikz, \tkzname{tkz-fct.sty} et bien évidemment \tkzname{tkz-tab.sty}. +Vous trouverez des exemples accompagnant cette documentation avec un \textcolor{red}{|préambule minimum|}. +\vfill +\example{Baccalauréat Centres Étrangers ES 2006 }\label{bac1} + +\medskip +\begin{alterqcm}[lq=70mm,pre=true] + +\AQmessage{ Soit $f$ une fonction définie et dérivable sur l'intervalle $]-5~;~+\infty[$ dont le tableau de variations est donné ci-dessous : +\begin{center} +\begin{tikzpicture} +\tkzTabInit[espcl=1.75]{$x$/1,$f(x)$/3} + {$-5$,$-1$,$0$,$2$,$+\infty$} +\tkzTabVar{-/$-\infty$ /,% + +/$-3$/,% + -/$-5$/,% + +/4 /,% + -/{4,5}/} +\end{tikzpicture} +\end{center} + On désigne par $\mathcal{C}$ la courbe représentative de $f$.} + + +\AQquestion{Sur l'intervalle $]-5~;~+\infty[$, l'équation $f(x) = -2$ admet } +{{une seule solution}, +{deux solutions}, +{quatre solutions} +} +\AQquestion{Sur l'intervalle $]-5~;~+\infty[$ la courbe $\mathcal{C}$ admet : } +{% +{\begin{minipage}{6cm}\small une seule asymptote la droite d'équation $x = -5$% +\end{minipage}}, +{\begin{minipage}{6cm}\small exactement deux asymptotes, les droites d'équations $x = -4,5$ et $y = -5$% +\end{minipage}}, +{\begin{minipage}{6cm}\small exactement deux asymptotes, les droites d'équations $y = -4,5$ et $x = -5$% +\end{minipage}}% +} +\AQquestion{On sait que $f'(2) = 0$. L'équation de la tangente à $\mathcal{C}$ au point d'abscisse $2$ est : } +{{$y = 4$}, +{$y = 4(x -2)$}, +{$y = 4(x -2)$} +} +\AQquestion{On sait que l'équation de la tangente à $\mathcal{C}$ au point de coordonnées (1 ; 2) est $y = 3x - 1$. On a :} +{{$f(2) = 1$}, +{$f'(1) = -1$}, +{$f'(1) = 3$} +} +\AQquestion{Sur l'intervalle $]2~;~+\infty[$, la fonction $g$ définie par $g(x) =\text{e}^{-f(x)}$ } +{{est croissante}, +{est décroissante}, +{n'est pas monotone.} +} +\AQquestion{On pose $h(x) = \ln \left[f(x) + 5\right]$. Alors la fonction $h$ : } +{{$\mathbb{R}$}, +{$]0~;~+\infty[$}, +{$[0~;~+\infty[$} +} +\end{alterqcm} + + +\vfill +\example{Baccalauréat ES Antilles juin 2004 }\label{bac2} + +\medskip + +\begin{alterqcm}[lq=110mm,pre=true] + +\AQmessage{ La figure 1. donne la représentation graphique d'une fonction $f$ définie sur $\mathbf{R}^+$ et la figure 2 celle d'une primitive de $f$ sur $\mathbf{R}^+$. +\begin{center} + \begin{tikzpicture}[xscale=2.25,yscale=1] + \tkzInit[xmin=-2,xmax=3,ymin=-1,ymax=6] + \tkzX + \tkzY + \tkzFct[label=false,samples=100](-1..2.2){x+exp(x-1)} + \tkzPoint[noname,coord](1,2){pt1} + \tkzPoint[noname,coord,label,xlabel={},% + ylabel=$\text{e}+2$,posylabel=10pt]% + (2,2+e){pt2} + \tkzRep + \end{tikzpicture} +\end{center} +\begin{center} + \begin{tikzpicture}[xscale=2.25,yscale=1] + \tkzInit[xmin=-2,xmax=3,ymin=-1,ymax=6] + \tkzX + \tkzY + \tkzFct(-2..2.2){x*x/2+exp(x-1)} + \tkzPoint[noname,coord,label,xlabel={},ylabel=$3/2$](1,1.5){pt1} + \tkzPoint[noname,coord,label,xlabel={},% + ylabel=$\text{e}+2$,posylabel=10pt]% + (2,2+e){pt2} + \tkzRep + \end{tikzpicture} +\end{center} +} + +\AQquestion{Quelle est l'aire, en unités d'aire, de la partie du plan limitée par la représentation graphique de la fonction $f$, l'axe des abscisses et les +droites d'équation $x = 1$ et $x = 2$ ? } +{{$\text{e} + \cfrac{3}{4}$}, +{$\text{e} + \cfrac{1}{2}$}, +{$1$} +} + +\end{alterqcm} + +\medskip +\hfill Tournez la page s.v.p. + + +\begin{alterqcm}[lq=70mm,pre=false,numbreak=1] +\AQmessage{La fonction $k$ définie et strictement positive sur $\mathbf{R}^+$ est connue par son tableau de variations. +\begin{center} +\begin{tikzpicture} + \tkzTabInit[lgt=1,espcl=2]{$x$/0.5,$k(x)$/1.5} + {$0$,$1$,$3$,$+\infty$} + \tkzTabVar{-/ /,% + +/ /,% + -/ /,% + +/ $+\infty$ /}% + \end{tikzpicture} +\end{center}% +} + +\AQquestion{Pami les tableaux suivants, quel est le tableau de variations de la fonction $g$ définie sur +$\mathbf{R}^+$ par \[g(x) = \cfrac{1}{k(x)}\ ? \]} +{{Tableau A}, +{Tableau B}, +{Tableau C} +} + +\AQmessage{% +\begin{center} +Tableau A\\ +\begin{tikzpicture} + \tkzTabInit[lgt=1,espcl=2]{$x$/0.5,$g(x)$/1.5} + {$0$,$1$,$3$,$+\infty$} + \tkzTabVar{-/ /,% + +/ /,% + -/ /,% + +/ $+\infty$ /}% + \end{tikzpicture} +\end{center} +\begin{center} +Tableau B\\ +\begin{tikzpicture}\activoff + \tkzTabInit[lgt=1,espcl=2]{$x$/0.5,$g(x)$/1.5} + {$0$,$1$,$3$,$+\infty$} + \tkzTabVar{+/ /,% + -/ /,% + +/ /,% + -/ $-\infty$ /}% + \end{tikzpicture} +\end{center} +\begin{center} +Tableau C\\ +\begin{tikzpicture}\activoff + \tkzTabInit[lgt=1,espcl=2]{$x$/0.5,$g(x)$/1.5} + {$0$,$1$,$3$,$+\infty$} + \tkzTabVar{-/ /,% + +/ /,% + -/ /,% + +/ $0$ /}% + \end{tikzpicture} +\end{center} +} + +\AQquestion{Soit $h$ la fonction définie sur $\mathbf{R}$ par $h(x) = \text{e}^x - x + 1$. +On note $\mathcal{C}$ la courbe représentative de $h$ dans un repère +orthonormal $O;\vec{\imath};\vec{\jmath}$.} +{{% +\begin{minipage}{5cm}\small + La droite d'équation $y = 1$ est + asymptote à $\mathcal{C}$% +\end{minipage} +}, +{\begin{minipage}{5cm}\small + La droite d'équation $x = 0$ est +asymptote à $\mathcal{C}$ +\end{minipage}}, +{\begin{minipage}{5cm}\small + La droite d'équation $y = -x + 1$ est +asymptote à $\mathcal{C}$ +\end{minipage}} +} +\AQquestion[pq=5mm]{% +En économie, le coût marginal est le coût occasionné par la +production d'une unité supplémentaire, et on considère que le coût +marginal est assimilé à la dérivée du coût total.\\ +Dans une entreprise, une étude a montré que le coût marginal +$C_{m}(q)$ exprimé en millliers d'euro en fonction du nombre $q$ +d'articles fabriqués est donné par la relation : +\[C_{m}(q) = 3q^2 - 10q + \cfrac{2}{q} + 20.\] +} +{% +{$C_{r}(q) = q^3 - 5q^2 + 2\ln q + 20q + 9984$}, +{$C_{r}(q) = q^3 - 5q^2 + 2\ln q + 20q - 6$}, +{$C_{r}(q) = 6q - 10 - \cfrac{2}{q^2}$} +} + +\end{alterqcm} + +\vfill + +\endinput diff --git a/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-examples.tex b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-examples.tex new file mode 100644 index 0000000000..f7ffabafe3 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-examples.tex @@ -0,0 +1,451 @@ +% 24 / 02 /2009 v1.00c TKZdoc-tab-examples +\section{Galerie} +\subsection{Tableaux de signes} +L'exemple suivant provient de la documentation de l'excellent \tkzname{tablor.sty}. +Voici le code complet + +\medskip +\begin{center} +\begin{tkzexample}[code only] +\documentclass{article} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{ifthen,fp} +\usepackage{tikz,tkz-tab} +\usepackage{amsmath,amssymb} +\usepackage[frenchb]{babel} + +\begin{document} +\begin{tikzpicture} + \tkzTabInit[lgt=3] + {$x$ /1, + Signe de\\ $-2+3$ /1.5, + Signe de\\ $-x+5$ /1.5, + Signe de\\ $(-2x+3)(-x+5)$ /1.5 }% + {$-\infty$,$\dfrac{3}{2}$,$5$,$+\infty$}% + \tkzTabLine { ,+,z,-,t,-, } + \tkzTabLine { ,+,t,+,z,-, } + \tkzTabLine { ,+,z,-,z,+, } +\end{tikzpicture} +\end{document} +\end{tkzexample} +\end{center} + +\begin{tikzpicture} + \tkzTabInit[lgt=3] + {$x$ /1, + Signe de\\ $-2+3$ /1.5, + Signe de\\ $-x+5$ /1.5, + Signe de\\ $(-2x+3)(-x+5)$ /1.5 }% + {$-\infty$,$\dfrac{3}{2}$,$5$,$+\infty$}% + \tkzTabLine { ,+,z,-,t,-, } + \tkzTabLine { ,+,t,+,z,-, } + \tkzTabLine { ,+,z,-,z,+, } +\end{tikzpicture} + + +Quelques remarques sur ce code. Le codage utilisé n'a pas d'importance, si vous préférez \tkzname{latin1}, alors remplacez \tkzname{utf8} par \tkzname{latin1}, bien évidemment \tkzname{tkz-tab} est essentielle. Si vous utilisez \tkzname{fourier} alors vous pouvez supprimer \tkzcname{usepackage[T1]\{fontenc\}} et \tkzcname{usepackage\{ammsymb\}}. + +\subsection{Variations de fonctions} + \subsubsection{Variation d'une fonction rationnelle} + + Cet exemple a été cité dans la documentation du package \tkzname{tabvar} + + Étude de la fonction $f~:~ x \longmapsto \frac{x^3+2}{2x}$ sur $]-\infty~;~+\infty[$ + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tkzTabInit[] + {$x$ /1, $f'(x)$ /1,$f$ /3} + {$-\infty$ , $0$ , $1$ , $+\infty$} +\tkzTabLine{,-,d,-,z,+,} +\tkzTabVar{+/$+\infty$ ,-D+/$-\infty$ / $+\infty$ ,-/$\frac{3}{2}$, +/$+\infty$} +\tkzTabVal{1}{2}{0.4}{$ -\sqrt[3]{2}$}{$0$} +\end{tikzpicture} +\end{tkzexample} + + +\subsubsection{Variation d'une fonction irrationnelle} + +Autre exemple cité dans la documentation du package \tkzname{tabvar} + +Étude de la fonction $f~:~ x \longmapsto \sqrt{\frac{x-1}{x+1}}$ sur $]-\infty~;~-1[\cup ]1~;~+\infty[$ + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tkzTabInit[] + {$x$ /1, $f'(x)$ /1,$f$ /3} + {$-\infty$ , $-1$ , $1$ , $+\infty$} +\tkzTabLine{,+,d,h,d,+, } +\tkzTabSlope{ 3/ /+\infty} +\tkzTabVar{-/$1$ ,+DH/$+\infty$ ,-/$0$, +/$1$} +\end{tikzpicture} +\end{tkzexample} + +Un prolongement par continuité pourrait être : $f(x)=0$ sur $[-1~;~1]$ alors le tableau deviendrait + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tkzTabInit[] + {$x$ /1, $f'(x)$ /1,$f$ /3} + {$-\infty$ , $-1$ , $1$ , $+\infty$} +\tkzTabLine{,+,d,0,d,+, } +\tkzTabSlope{ 3/ /+\infty} +\tkzTabVar{-/$1$ ,+D-/$+\infty$/$0$ ,-/$0$, +/$1$} +\end{tikzpicture} +\end{tkzexample} + + +\subsection{Fonctions trigonométriques} +\NameFonct{Fonctions trigonométriques} + \subsubsection{Variation de la fonction tangente} + \NameFonct{Fonction tangente} + Étude de la fonction $f~:~ x \longmapsto \tan{x}$ sur $[0~;\pi]$ + + \begin{tkzexample}[vbox] +\begin{tikzpicture} +\tkzTabInit[espcl=6]{$x$ / 1,Signe de\\f'(x)/1, Variations de\\ $f$ / 3}% + {$0$ ,$\frac{\pi}{2}$ , $\pi$}% +\tkzTabLine{ ,+,d,+, } +\tkzTabVar{-/$0$ , +D-/$+\infty$/$-\infty$ , +/$0$ } +\tkzTabVal{1}{2}{0.5}{$\frac{\pi}{4}$}{$1$} +\tkzTabVal{2}{3}{0.5}{$\frac{3\pi}{4}$}{$1$} +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Variation de la fonction cosinus} + \NameFonct{Fonction cosinus} + Étude de la fonction $f~:~ x \longmapsto \cos{x}$ sur $[-\pi~;~+\pi]$ + + \begin{tkzexample}[vbox] +\begin{tikzpicture} +\tkzTabInit[espcl=6]{$x$ / 1,Signe de\\f'(x)/1, Variations de\\ $f$ / 3}% + {$0$ , $\pi$}% +\tkzTabLine{ , + , } +\tkzTabVar{+/$1$ , -/$-1$ } +\tkzTabVal{1}{2}{0.5}{$\frac{\pi}{2}$}{$0$} +\end{tikzpicture} +\end{tkzexample} + +\subsection{Fonctions paramétrées et trigonométriques} +\NameFonct{Fonctions paramétrées} \NameFonct{Fonctions trigonométriques} + +Étude sur $\left[0~;~\frac{\pi}{2}\right]$ + \begin{equation*} +\left\{% +\begin{array}{l} + x(t) = \cos(3t)\\ + y(t) = \sin(4t) +\end{array}\right. +\end{equation*} + +\begin{tkzexample}[vbox,small] + \begin{tikzpicture} + \tkzTabInit[ lgt=3 , espcl=3]% + {$t$ /1, + Signe de\\ $x'(t)$ /1.5, + Variations de\\ $x$ /3, + Variations de\\ $y$ /3, + Signe de\\ $y'(t)$ /1.5} + {$0$ , $\frac{\pi}{8}$ , $\frac{\pi}{3}$ , + $\frac{3\pi}{8}$ , $\frac{\pi}{2}$ }% + \tkzTabLine {z , - ,-3\sin\left(\frac{3\pi}{8}\right) , - , z , + ,% + 3\sin\left(\frac{\pi}{8}\right),+,3} + \tkzTabVar { +/$1$ , R/ , -/$-1$/ , R/ , +/$0$ } + \tkzTabIma{1}{3}{2}{$\cos\left(\frac{3\pi}{8}\right)$} + \tkzTabIma{3}{5}{4}{$-\cos\left(\frac{\pi}{8}\right)$} + \tkzTabVar { -/$0$ , +/$1$ , R/ , -/$-1$ , +/$0$ } + \tkzTabIma{2}{4}{3}{$\frac{-\sqrt{3}}{2}$} + \tkzTabLine {4 , + , z , - , -2 , - , z ,+,4} + \end{tikzpicture} +\end{tkzexample} + + +\subsection{Baccalauréat Asie ES 1998} +\index{Baccalauréat} +Une petite astuce, en principe \tkzname{z} est le symbole à mettre dans la liste pour obtenir un zéro centré sur un trait en pointillés. Si on veut que le zéro soit sans le trait , il suffit de remplacer \tkzname{z} par \tkzname{0}. Celui-ci n'est pas un symbole reconnu, il est donc traiter comme une chaîne normale. + + Soit $f$ la fonction de variable réelle $x$, définie sur $\mathbf{R}$ par : + \[ + f(x)=\E^x(\E^x+a)+b + \] + où $a$ et $b$ sont deux constantes réelles. + + Les renseignements connus sur $f$ sont donnés dans le tableau de variation ci-dessous. + + \medskip + \begin{center} + \begin{tikzpicture} + \tkzTab[lgt=3,espcl=4]{$x$/1,Signe de $f'(x)$ /1,Variations de $f$ /2}% + {$-\infty$,$0$,$+\infty$}% + {,, z ,,}% + {+/ $-3$ , + -/ , + +/ } + \end{tikzpicture} + \end{center} + + \medskip + \begin{enumerate} + \item Calculer $f'(x)$ en fonction de $a$ ($f'$ désigne la fonction dérivée de $f$). + \item \begin{enumerate} + \item déterminer $a$ et $b$ en vous aidant des informations contenues dans le + tableau ci-dessus. + \item Calculer $f(0)$ et calculer la limite de $f$ en $+\infty$. + \item Compléter, après l'avoir reproduit, le tableau de variations de $f$. + \end{enumerate} + \item Résoudre dans $\mathbf{R}$ l'équation + \[ + \E^x(\E^x-2)-3=0 + \] + (on pourra pose $X=\E^x$). + \item Résoudre dans $\mathbf{R}$ les inéquations : + \[ + \E^x(\E^x-2)-3\geq -4 + \] + \[ + \E^x(\E^x-2)-3 \leq 0 + \] + (On utilisera le tableau de variations donné ci-dessus et en particulier les + informations obtenues en 2.b) + \end{enumerate} + +\begin{tkzexample}[code only,small] + Soit $f$ la fonction de variable réelle $x$, définie sur $\mathbf{R}$ par : + \[ + f(x)=\E^x(\E^x+a)+b + \] + où $a$ et $b$ sont deux constantes réelles. + + Les renseignements connus sur $f$ sont donnés dans le tableau de variation ci-dessous. + + \medskip + \begin{center} + \begin{tikzpicture} + \tkzTab[lgt=3,espcl=4]{$x$/1,Signe de $f'(x)$ /1,Variations de $f$ /2}% + {$-\infty$,$0$,$+\infty$}% + {,, z ,,}% + {+/ $-3$ , + -/ , + +/ } + \end{tikzpicture} + \end{center} + + \medskip + \begin{enumerate} + \item Calculer $f'(x)$ en fonction de $a$ ($f'$ désigne la fonction dérivée de $f$). + \item \begin{enumerate} + \item déterminer $a$ et $b$ en vous aidant des informations contenues dans le + tableau ci-dessus. + \item Calculer $f(0)$ et calculer la limite de $f$ en $+\infty$. + \item Compléter, après l'avoir reproduit, le tableau de variations de $f$. + \end{enumerate} + \item Résoudre dans $\mathbf{R}$ l'équation + \[ + \E^x(\E^x-2)-3=0 + \] + (on pourra pose $X=\E^x$). + \item Résoudre dans $\mathbf{R}$ les inéquations : + \[ + \E^x(\E^x-2)-3\geq -4 + \] + \[ + \E^x(\E^x-2)-3 \leq 0 + \] + (On utilisera le tableau de variations donné ci-dessus et en particulier les + informations obtenues en 2.b) + \end{enumerate} +\end{tkzexample} + + +\subsection{Baccalauréat} +\index{Baccalauréat} + On considère la fonction $f$ définie sur $]-\infty~;~0[$ : + + \[ + f(x)=ax+b+\ln(-2x) + \] + où $a$ et $b$ sont deux réels donnés. + + \begin{enumerate} + \item Calculer $f'(x)$ en fonction de $a$ et $b$. + \item Le tableau ci-dessous représente les variations d'une fonction particulière $f$. + + \medskip + \begin{center} + \begin{tikzpicture} + \tkzTab[]% + {$x$/1.25,Signe de\\ $f'(x)$/1.5, Variations\\ de $f$/1.5}% + {$-\infty$,$\dfrac{-1}{2}$,$0$}% + {,+,$0$,-,}% + {-//, + +/$2$/, + -//} + \end{tikzpicture} + \end{center} + + \medskip + \begin{enumerate} + \item En utilisant les données du tableau déterminer les valeurs $a$ et $b$ qui caractérisent + cette fonction. + \item Pour cette fonction particulière $f$, déterminer + $\displaystyle \lim_{x \xrightarrow[x<0]{} 0} f(x)$. + \item Montrer que, dans l'intervalle $\Big[\dfrac{-1}{2}~;~0,01\Big]$, l'équation $f(x)=0$ + admet une solution unique. En donner une valeur approchée à $10^{-3}$ près. + \end{enumerate} + \end{enumerate} + +\begin{tkzexample}[small,code only] + On considère la fonction $f$ définie sur $]-\infty~;~0[$ : + + \[ + f(x)=ax+b+\ln(-2x) + \] + où $a$ et $b$ sont deux réels donnés. + + \begin{enumerate} + \item Calculer $f'(x)$ en fonction de $a$ et $b$. + \item Le tableau ci-dessous représente les variations d'une fonction particulière $f$. + + \medskip + \begin{center} + \begin{tikzpicture} + \tkzTab[]% + {$x$/1.25,Signe de\\ $f'(x)$/1.5, Variations\\ de $f$/1.5}% + {$-\infty$,$\dfrac{-1}{2}$,$0$}% + {,+,$0$,-,}% + {-//, + +/$2$/, + -//} + \end{tikzpicture} + \end{center} + + \medskip + \begin{enumerate} + \item En utilisant les données du tableau déterminer les valeurs $a$ et $b$ qui caractérisent + cette fonction. + \item Pour cette fonction particulière $f$, déterminer + $\displaystyle \lim_{x \xrightarrow[x<0]{} 0} f(x)$. + \item Montrer que, dans l'intervalle $\Big[\dfrac{-1}{2}~;~0,01\Big]$, l'équation $f(x)=0$ + admet une solution unique. En donner une valeur approchée à $10^{-3}$ près. + \end{enumerate} + \end{enumerate} +\end{tkzexample} + + + +\subsection{Baccalauréat Guyane ES 1998 } +\index{Baccalauréat} +C'est cet exemple qui m'a obligé à penser aux commandes du style $+V+$. Sans doute, voulait-on ne pas influencer les élèves avec la vision d'une double barre (trop souvent associée à la présence d'une asymptote). + +\textbf{Le sujet :} + +{\parindent=0pt +On considère une fonction $f$ de la variable $x$, dont on donne le tableau de variations : + +\begin{center} +\begin{tikzpicture} +\tkzTab[lgt=3]% +{$x$/1.25,Signe de\\ $f'(x)$/1.5, Variations\\ de $f$/2.5} +{$-\infty$,$\dfrac{-1}{2}$,$1$,$+\infty$} +{,-,$0$,+, ,-,} +{+/ $1$ , -/$\dfrac{-1}{3}$ , +V+/ $+\infty$ /$+\infty$ , -/$1$} +\end{tikzpicture} +\end{center} + +On appelle (C) la courbe représentative de $f$ dans un repère Le plan est muni d'un repère orthonormé $(O;\vec{\imath};\vec{\jmath})$ (unités graphiques 2 cm sur chaque axe) + +\vspace{6pt} +\textbf{Première partie} + +En interprétant le tableau donné ci-dessus :% + + \begin{enumerate} + \item Préciser l'ensemble de définition de $f$. + \item Placer dans le repère $(O;\vec{\imath};\vec{\jmath})$ : + \begin{enumerate} + \item l'asymptote horizontale (D); + \item l'asymptote verticale (D'); + \item le point $A$ où la tangente à (C) est horizontale. + \end{enumerate} + \end{enumerate} + +\textbf{Seconde partie} + +On donne maintenant l'expression de $f$ : +\[ +f(x)=1 + \dfrac{4}{(x-1)} + \dfrac{3}{(x-1)^2} +\] +\begin{enumerate} + \item Résoudre les équations $f(x)=0$ et $f(x)=1$. + \item Au moyen de votre calculatrice, remplir le tableau suivant + ( recopier ce tableau sur votre copie). +\end{enumerate} +\begin{tikzpicture} + \tkzTabInit[deltacl=1,espcl=1]{ $x$/1 , $f(x)$ /1}% + {-1,,{-0,75},,{0,5},,2,,3,,4}% + \tkzTabLine{,,,,,,,,,,,,,,,,,,,,}% + \makeatletter + \foreach \x in {1,...,5} + \setcounter{tkz@cnt@pred}{\x}\addtocounter{tkz@cnt@pred}{\x} + \draw (N\thetkz@cnt@pred 0.center) to (N\thetkz@cnt@pred 2.center); +\end{tikzpicture} +} + + +\begin{tkzexample}[code only,small] +On considère une fonction $f$ de la variable $x$, dont on donne le tableau de variations : + +\begin{center} +\begin{tikzpicture} +\tkzTab[]% +{$x$/1.25,Signe de\\ $f'(x)$/1.5, Variations\\ de $f$/2.5} +{$-\infty$,$\dfrac{-1}{2}$,$1$,$+\infty$} +{,-,$0$,+, ,-,} +{+/ $1$ , -/$\dfrac{-1}{3}$ , +V+/ $+\infty$ /$+\infty$ , -/$1$} +\end{tikzpicture} +\end{center} + + \vspace{6pt} +On appelle (C) la courbe représentative de $f$ dans un repère. Le plan est muni d'un repère% + orthonormal $(O;\vec{\imath};\vec{\jmath})$ (unités graphiques 2 cm sur chaque axe)% + +\textbf{Première partie} + +En interprétant le tableau donné ci-dessus :% + + \begin{enumerate} + \item Préciser l'ensemble de définition de $f$. + \item Placer dans le repère $(O;\vec{\imath};\vec{\jmath})$ : + \begin{enumerate} + \item l'asymptote horizontale (D); + \item l'asymptote verticale (D'); + \item le point $A$ où la tangente à (C) est horizontale. + \end{enumerate} + \end{enumerate} + +\textbf{Seconde partie} + +On donne maintenant l'expression de $f$ : +\[ +f(x)=1 + \dfrac{4}{(x-1)} + \dfrac{3}{(x-1)^2} +\] +\begin{enumerate} + \item Résoudre les équations $f(x)=0$ et $f(x)=1$. + \item Au moyen de votre calculatrice, remplir le tableau suivant + ( recopier ce tableau sur votre copie). + \begin{tikzpicture} + \tkzTabInit[deltacl=1,espcl=1]{ $x$/1,$f(x)$ /1}% + {-1,,{-0,75},,{0,5},,2,,3,,4}% + \tkzTabLine{,,,,,,,,,,,,,,,,,,,,}% + \makeatletter + \foreach \x in {1,...,5} + \setcounter{tkz@cnt@pred}{\x}\addtocounter{tkz@cnt@pred}{\x} + \draw (N\thetkz@cnt@pred 0.center) to (N\thetkz@cnt@pred 2.center); + \end{tikzpicture} +\end{enumerate} + +\vfill +\end{tkzexample} + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-image.tex b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-image.tex new file mode 100644 index 0000000000..15cf2335e9 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-image.tex @@ -0,0 +1,181 @@ +% 20 / 02 /2009 v1.00c TKZdoc-tab-image +\section{Ajout d'images \addbs{tkzTabIma} et \addbs{tkzTabImaFrom}} +Ces macros permettent de placer une valeur sur une flèche de la ligne des variations. On ne peut placer une valeur que dans un intervalle où la fonction est \tkzname{monotone}, de plus l'image est celle d'un antécédent déjà défini dans la première ligne. La première macro est \tkzcname{tkzTabIma}. + +\subsection{Définition de \addbs{tkzTabIma}} + +\begin{NewMacroBox}{tkzTabIma}{\oarg{local options}\{Début\}\{Fin\}\{Position\}\{Antécédent\}\{Image\}} + +\begin{tabular}{lllc} +\toprule +\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\ +\toprule +\IargName{tkzTabIma}{Début} & |no default|& rang de l'origine de la flèche \\ +\IargName{tkzTabIma}{Fin} & |no default|& rang de l'extrémité de la flèche \\ +\IargName{tkzTabIma}{Position} & |no default| & rang de l'antécédent correspondant à l'image \\ +\IargName{tkzTabIma}{Image} & |no default| & valeur de l'image si nécessaire \\ +\bottomrule +\end{tabular} + +\medskip +\noindent\emph{Ceci mérite quelques commentaires : Il s'agit de savoir sur quelle flèche, on va positionner l'image. \tkzname{Début} et \tkzname{Fin} sont les rangs des valeurs qui déterminent les extrémités de la flèche. \tkzname{Image} est la valeur que l'on veut placer. \tkzname{Position} est un nombre entier qui est le rang de l'antécédent.} + +\medskip +\begin{tabular}{lllc} +\toprule +\texttt{options} & \texttt{défaut} & \texttt{définition} \\ +\midrule +\IoptName{tkzTabIma}{draw} & |true| & dessin d'une flèche entre l'antécédent et son image \\ +\IoptName{tkzTabIma}{remember}& |lastval|& définit un node personnalisé \\ +\bottomrule +\end{tabular} + +\medskip +\noindent\emph{Si vous voulez une flèche entre l'antécédent et l'image, il vous suffit de passer en option \tkzname{draw}. Si vous voulez référencer le point où se situe l'image alors il faut utiliser l'option \tkzname{remember}.} +\end{NewMacroBox} + +\subsubsection{Ajout de valeurs intermédiaires à partir d'un antécédent donné} +Il y a plusieurs possibilités mais la suivante est préférable. L'antécédent est de rang $2$. + La fonction est monotone entre les valeurs de rang $1$ et $3$. Voici comment faire apparaître l'image par $f$ de $\sqrt\E$. + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} +\tkzTabInit[espcl=6]% + {$x$/1,$f'(x)$/1, $f(x)$/2}{$0$,$\sqrt\E$,$+\infty$}% + \tkzTabLine{d,+,0,+,}% + \tkzTabVar{D- /$-\infty$ , R / ,+ / $0$ }% + \tkzTabIma{1}{3}{2}{-5} +\end{tikzpicture} +\end{tkzexample} +\Iopt{tkzTabVal}{draw} + +Une autre possibilité est d'utiliser la macro \tkzcname{tkzTabImaFrom} ainsi que les nodes créés pour construire le tableau ; voir la section \og personnalisation \fg\ (\ref{pers}) et la fin de ce chapitre. + +\subsubsection{Exemple avec plusieurs lignes de variations} +\begin{tkzexample}[vbox,small] + \begin{tikzpicture} + + \tkzTabInit[espcl=4] + { $x$ /1, + $f''(x)$ /1, + $f'$ /2, + Signe de\\ $f'(x)$ /2, + $f$ /3}% + { $0$ , $1$ , $\alpha$,$+\infty$ }% + \tkzTabLine {d , + , z , - , , - }% + \tkzTabVar + {- / $1$ , + + / , + R / , + - / $-\infty$ } + \tkzTabIma[draw]{2}{4}{3}{$0$} + % ou bien \tkzTabVal[draw]{2}{4}{0.5}{}{0} obsolète + \tkzTabLine { , + , , + , z , - }% + \tkzTabVar + {- / $-\infty$ , + R / , + + / $1$ , + - / $0$ } + \tkzTabIma[draw]{1}{3}{2}{$0$} + \end{tikzpicture} +\end{tkzexample} + + +\subsubsection{Fonctions paramétrées} +\NameFonct{Fonctions paramétrées} + +\begin{tkzexample}[vbox,small] + \begin{tikzpicture} + \tkzTabInit[ lgt=4, deltacl=1, espcl=2]% + {$t$ /1, + Signe de\\ $x'(t)$ /1.5, + Variations de\\ $x$ /3, + Variations de\\ $y$ /3, + Signe de\\ $y'(t)$ /1.5} + { $-\infty$ , $-4$ , $-1$ , $0$, $2$ , $+\infty$}% + + \tkzTabLine { , - , z , + , d , + , z , - , d , - , } + + \tkzTabVar {+/$1$ , -/$ \frac{8}{9}$ ,+D-/$+\infty$/$-\infty$ , + +/$0$/ ,-D+ /$-\infty$/ $+\infty$ , -/$1$ / } + + \tkzTabVar {+/$+\infty$ , R/ ,-D+/$-\infty$/$+\infty$ , + -/$0$ ,R / , +/$+\infty$ } + + \tkzTabIma{1}{3}{2}{$\frac{32}{3}$} + \tkzTabIma{4}{6}{5}{$\frac{16}{3}$} + + \tkzTabLine{ , - , \frac{-64}{9} , - , d , - , z , + , \frac{44}{9} , + , } + \end{tikzpicture} +\end{tkzexample} + +\subsection{Définition de \addbs{tkzTabImaFrom}} +Cette macro ressemble à la précédente mais elle permet de placer une image relativement à une autre image ou relativement à un point quelconque du tableau auquel on a attribué un nom. + +\begin{NewMacroBox}{tkzTabImaFrom}{\oarg{local options}\{Début\}\{Fin\}\{From\}\{Image\}} + +\begin{tabular}{lllc} +\toprule +\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\ +\midrule +\IargName{tkzTabImaFrom}{Début} & |no default| & rang de l'origine de la flèche \\ +\IargName{tkzTabImaFrom}{Fin} & |no default| & rang de l'extrémité de la flèche \\ +\IargName{tkzTabImaFrom}{From} & |no default| & nom d'un point \\ +\IargName{tkzTabImaFrom}{Image} & |no default| & valeur de l'image \\ +\bottomrule +\end{tabular} + +\medskip +\noindent\emph{Comme pour \tkzcname{tkzTabVal}, \tkzname{Début} et \tkzname{Fin} sont les rangs des valeurs qui déterminent les extrémités de la flèche. \tkzname{Image} est la valeur que l'on veut placer. \tkzname{From} est le nom du node qui correspond à l'antécédent.} + +\medskip +\begin{tabular}{lllc} +\toprule +\texttt{options} & \texttt{défaut} & \texttt{définition} \\ +\midrule +\IoptName{tkzTabImaFrom}{draw} & |true| & dessin d'une flèche entre l'antécédent et son image \\ +\IoptName{tkzTabImaFrom}{remember}& |lastval|& définit un node personnalisé \\ +\bottomrule +\end{tabular} + +\medskip +\noindent\emph{Si vous voulez une flèche entre l'antécédent et l'image, il vous suffit de passer en option \tkzname{draw}. Si vous voulez référencer le point où se situe l'image alors il faut utiliser l'option \tkzname{remember}.} + +\end{NewMacroBox} + +\subsubsection{Utilisation d'un node défini par la macro \addbs{tkzTabInit}} +Il s'agit ici de \tkzname{N21}. C'est un node, plus exactement un point situé sous la seconde valeur $\sqrt\E$ et sur le premier filet horizontal sous cette valeur. Voir le chapitre \tkzname{personnalisation} et en particulier l'option \tkzname{help} qui permet d'afficher différents points de construction. + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} +\tkzTabInit[espcl=6]% + {$x$/1,$f'(x)$/1, $f(x)$/3}{$0$,$\sqrt\E$,$+\infty$}% + \tkzTabLine{d,+,0,+,}% + \tkzTabVar{D-/ $-\infty$, R/ , +/$0$ } + \tkzTabImaFrom[draw]{1}{3}{N21}{-5} + \draw[opacity=0.4,fill=red!30] (N21) circle(3ex); + \draw[fill=red] (N21) circle(2pt); + \node[above right= 12pt,red](txt) at (N21) {$N21$}; +\end{tikzpicture} +\end{tkzexample} +\Iopt{tkzTabImaFrom}{draw} + +\subsubsection{Utilisation d'un point défini par l'utilisateur avec \texttt{\textcolor{red}{remember}}} + +\begin{tkzexample}[vbox, num,small] + \begin{tikzpicture} + \tkzTabInit[lgt=3,espcl=6]{ $x$/1, $f'(x)$/1, $f(x)$/3,/3 }% + { $a$ , $d$ ,$e$} + \tkzTabLine{ z,+ ,z,- ,z } + \tkzTabVar {-/\va ,+/\vd , -/ \ve} + \tkzTabVal[draw,remember=vb]{1}{2}{0.333}{b}{$0$} + \tkzTabVal[draw,remember=vc]{1}{2}{0.666}{c}{$1$} + \tkzTabVar{-/\va ,R/ , +/ \ve} + \tkzTabVal[draw]{1}{3}{0.5}{}{$0$} + \tkzTabImaFrom[draw]{1}{3}{vc}{$-1$} + \tkzTabImaFrom[draw]{1}{3}{vb}{$-2$} + \end{tikzpicture} +\end{tkzexample} +\Iopt{tkzTabImaFrom}{remember} + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-init.tex b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-init.tex new file mode 100644 index 0000000000..634a4fe82e --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-init.tex @@ -0,0 +1,202 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-tab/doc/TKZdoc-tab-main.tex +% 21 / 02 /2009 v1.00c TKZdoc-tab-init 18 h +\section{Initialisation d'un tableau : \addbs{tkzTabInit} } +\subsection{Définition} + +\begin{NewMacroBox}{tkzTabinit}% +{\oarg{local options}\var{e(1)/h(1),...,e(p)/h(p)}\var{a(1),...,a(n)}} + +\begin{tabular}{lllc} +\toprule +arguments & défaut & définition \\ +\midrule +\TAline{liste1} {no default } {\var{e(1)/h(1),...,e(p)/h(p)} } +\TAline{liste2} {no default } {\var{a(1),...,a(n)}} +\bottomrule +\end{tabular} + +\medskip +\noindent\emph{Les arguments obligatoires de cette macro sont deux listes dont les éléments sont séparés par des virgules. La première contient $p$ éléments qui définissent $p$ lignes dans le tableau. La seconde liste contient $n$ éléments qui définissent $n$ antécédents. À un antécédent correspond une colonne.} + + \begin{itemize} + +\item Liste 1 : \emph{les éléments de la première liste sont des paires \tkzname{e(i)/h(i)} où \tkzname{/} est un séparateur entre d'une part, une expression \tkzname{e(1)} et d'autre part, un nombre exprimé en \tkzname{centimètres}. \tkzname{h(i)} est pour tout $i$ un nombre décimal qui fait référence à la hauteur en \tkzname{cm} de la ligne qui contient l'expression \tkzname{e(i)}. Les nombres décimaux utilisent le point comme séparateur.} + +\item Liste 2 : \emph{On ne peut pas utiliser les symboles \og \tkzname{/} \fg\ et \og \tkzname{,} \fg\ dans \tkzname{e(i)} sauf si on les protège dans un groupe\protect\footnotemark. La protection de la virgule par une paire d'accolades |\{4,5\}| peut avantageusement être remplacée par une commande comme \tkzcname{numprint\{4,5\}} ou encore \tkzcname{np\{4,5\}}\protect\footnotemark.} + \end{itemize} +\NamePack{numprint} + +\medskip +\begin{tabular}{lllc} +\toprule +options & défaut & définition \\ +\midrule +\TOline{espcl} {2 cm}{espacement entre deux valeurs } +\TOline{lgt} { 2 cm}{largeur de la première colonne } +\TOline{deltacl}{0.5 cm}{marge avant le premier et le dernier antécédent} +\TOline{lw} {0.4 pt}{épaisseur des lignes du tableau } +\TOline{nocadre}{false}{par défaut, on encadre le tableau } +\TOline{color} {false}{booléen autorise la couleur\protect\footnotemark} +\TOline{colorC} {white}{couleur de la première colonne } +\TOline{colorL} {white}{couleur de la première ligne } +\TOline{colorT} {white}{couleur de la partie centrale } +\TOline{colorV} {white}{couleur de la case de la variable } +\TOline{help} {false}{affiche les noms des points de construction} \bottomrule +\end{tabular} + +\medskip +\noindent\emph{Le tableau ci-dessus décrit les options actuelles de la macro. Les trois premières sont essentielles pour l'esthétisme de votre tableau, ainsi que pour ses dimensions finales. Il reste cependant une possibilité car on peut encore jouer avec les options de l'environnement \tkzname{tikzpicture} qui sont \tkzname{scale}, \tkzname{xscale} et \tkzname{yscale}.} +\end{NewMacroBox} + +\footnotetext[3]{expression entre accolades.} +\footnotetext[4]{Voir la documentation du package \tkzname{numprint}.} +\footnotetext[5]{Il est préférable de charger le package \tkzname{xcolor} avec des options comme \tkzname{usenames}, \tkzname{dvipsnames} ou encore \tkzname{pdftex}.} +\NamePack{xcolor} +\subsection{Utilisation des arguments} +\subsubsection{Tableau simple} +\medskip +Exemple : \begin{tkzexample}[code only]\tikz \tkzTabInit{$x$ /.8 , $f(x)$ /.8}{$0$ , $+\infty$}; \end{tkzexample}crée un tableau de \tkzname{deux} lignes. La première ligne fait $\np{0.8}$ cm de hauteur, ainsi que la seconde. La colonne de droite a pour bornes $0$ et $+\infty$. + +\medskip +\begin{center} + \tikz \tkzTabInit{$x$ /.8 , $f(x)$ /.8}{$0$ , $+\infty$}; +\end{center} +\subsubsection{Ajout de lignes et de colonnes} + +La première liste permet d'obtenir trois lignes qui ont pour hauteur $1$ cm. La seconde liste comporte trois antécédents qui déterminent deux intervalles (zones). Il sera possible de placer des filets verticaux sous ces antécédents. + +\begin{tkzexample}[width=10cm,small] +\begin{tikzpicture} +\tkzTabInit + {$x$ /1, + $f(x)$ /1, + $g(x)$ /1} + {$0$,$\E$,$+\infty$} +\end{tikzpicture} +\end{tkzexample} +Il est à noter l'utilisation de la macro \tkzcname{E} \footnote{\tkzcname{E} est définie ainsi \BS newcommand*\{\BS E\}\{\BS ensuremath\{\BS mathrm\{e\}\}\}.} +\subsubsection{Tableau minimum} +\index{Tableau minimum} +Le premier argument est \tkzname{ /1}, c'est l'argument minimum. L'argument est une liste avec comme séparateur le symbole \tkzname{/}. Celui-ci est précédé d'un blanc ou d'un vide. La première case de la ligne sera vide. Le \tkzname{$1$} signifie \tkzname{$1$ cm} car une dimension en cm est obligatoire pour donner la hauteur de la ligne. Le deuxième argument est constitué de deux éléments vides ou bien de deux blancs séparés par une virgule. Cet argument doit contenir au minimum deux éléments. Ces deux éléments sont les bornes d'un intervalle. + +\begin{tkzexample}[width=8cm,small] +\begin{tikzpicture} + \tkzTabInit{ / 1} + { , } +\end{tikzpicture} +\end{tkzexample} + +\subsection{Utilisation des options} + +Tout d'abord on peut modifier certaines dimensions concernant les colonnes. Voyons les valeurs par défaut. + +\begin{center} + \begin{tikzpicture} + \tkzTabInit + {$x$ / 1} + {$a_1$ , $a_2$ , $a_3$} + \begin{scope}[arstyle/.style={>=latex,#1,<->}] + \draw[arstyle=blue] (N10) to node[above,color=blue]% + {\scriptsize $ espcl = 2$ cm} (N20); + \draw[arstyle=blue] (N20) to node[above,color=blue]% + {\scriptsize $ espcl = 2$ cm} (N30); + \draw[arstyle=red] (T10) to node[above=12pt,color=red]% + {\scriptsize $ deltacl = 0,5$ cm} (N10); + \draw[arstyle=red] (N30) to node[above=12pt,color=red]% + {\scriptsize $ deltacl = 0,5$ cm} (T20); + \draw[arstyle=blue] (T00) to node[above,color=blue]% + {\scriptsize $ lgt = 2$ cm} (T10); + \end{scope} + \end{tikzpicture} +\end{center} + + +\subsubsection{\texttt{\textcolor{red}{lgt}} : modification de la largeur de la première colonne}\Iopt{tkzTabInit}{lgt} + +Par défaut la largeur de cette première colonne est de $2$ cm. L'unité est toujours le \tkzname{cm}. + +\begin{tkzexample}[width=8cm,small] +\begin{tikzpicture} + \tkzTabInit[lgt=3]{ $x$ / 1} + { $1$ , $3$ } +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{\texttt{\textcolor{red}{espcl}} : modification de l'espacement entre deux valeurs}\Iopt{tkzTabInit}{espcl} + +\begin{tkzexample}[width=9cm,small] +\begin{tikzpicture} + \tkzTabInit[lgt=3,espcl=4]% + { $x$ / 1} + { $1$ , $4$ } +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{\texttt{\textcolor{red}{deltacl}} : modification des espacements aux extrémités}\Iopt{tkzTabInit}{deltacl} + +\begin{tkzexample}[width=9cm,small] +\begin{tikzpicture} + \tkzTabInit[lgt=3,deltacl=1]% + { $x$ / 1} + { $1$ , $4$ } +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{\texttt{\textcolor{red}{lw}} : épaisseur des lignes du tableau} +\Iopt{tkzTabInit}{lw} +Ce n'est pas recommandé. Il est préférable que tous les traits d'un document aient la même épaisseur qui par défaut est de $\np{0,4}$ pt. + +\begin{tkzexample}[width=8cm,small] +\begin{tikzpicture} + \tkzTabInit[lw=2pt]{ / 1} + { , } +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{\texttt{\textcolor{red}{nocadre}} : suppression du cadre externe} +\Iopt{tkzTabInit}{nocadre} + +\begin{tkzexample}[width=8cm,small] +\begin{tikzpicture} + \tkzTabInit[nocadre]{ / 1, /1, /1} + { , } +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{\texttt{\textcolor{red}{color}} : utilisation de la couleur dans un tableau} +\Iopt{tkzTabInit}{color}\NamePack{amsmath} +\tkzname{color} est un booléen et indique que l'on veut utiliser la couleur. Pour cela, il faut donner les couleurs attribuées à la première ligne \tkzname{colorL}, la première colonne \tkzname{colorC}, à la case de la variable \tkzname{colorV} et aux lignes \tkzname{colorT}. Il est possible d'attribuer une couleur pour une ligne particulière. + +\tkzname{tkzTabInit\{[color]\}} signifie que le booléen color est à vrai. + +\begin{tkzexample}[width=8cm,small] +\begin{tikzpicture} + \tkzTabInit[color, + colorT = yellow!20, + colorC = orange!20, + colorL = green!20, + colorV = lightgray!20] + { /1 , /1}{ , } +\end{tikzpicture} +\end{tkzexample} + +\begin{tkzexample}[width=8cm] +\begin{tikzpicture} + \tkzTabInit[color, + colorT = yellow!20, + colorC = red!20, + colorL = green!20, + colorV = lightgray!20, + lgt = 1, + espcl = 2.5]% + {$t$/1,$a$/1,$b$/1,$c$/1,$d$/1}% + {$\alpha$,$\beta$,$\gamma$}% +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{\texttt{\textcolor{red}{help}} : Affiche la structure du tableau} +\Iopt{tkzTabInit}{help} +Voir la section \og personnalisation \fg\ (\ref{pers}). +\endinput + + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-install.tex b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-install.tex new file mode 100644 index 0000000000..d45add9bbb --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-install.tex @@ -0,0 +1,107 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-tab/doc/TKZdoc-tab-main.tex +% 20 / 02 /2009 v1.00c TKZdoc-tab-install +\section{Installation} +Il est possible que lorsque vous lirez ce document, \tkzname{tkz-tab} soit présent sur le serveur du \tkzname{CTAN}\footnote{\tkzname{tkz-tab} ne fait pas encore partie de \tkzname{TeXLive} mais il sera bientôt possible de l'installer avec \emph{tlmgr}}. Si \tkzname{tkz-tab} ne fait pas encore partie de votre distribution, ce chapitre vous montre comment l'installer. + +\subsection{Avec TeXLive sous OS X, Linux et Windows}\NameDist{TeXLive} +Créer un dossier \tikz[remember picture,baseline=(n1.base)]\node [fill=green!50,draw] (n1) {prof}; avec comme chemin : \colorbox{blue!50}{ texmf/tex/latex/prof}. + + \colorbox{blue!50}{texmf} est un dossier personnel, voici les chemins de ce dossier sur mes deux ordinateurs: + +\medskip +\begin{itemize}\setlength{\itemsep}{10pt} + +\item sous OS X\NameSys{OS X} \colorbox{blue!30}{\textbf{/Users/ego/Library/texmf}}; + +\item sous Ubuntu\NameSys{Linux Ubuntu} \colorbox{blue!30}{\textbf{/home/ego/texmf}}; + +\item sous Windows je ne connais pas cette distribution sous ce système mais je suppose que l'installation doit ressembler à ce qui se passe sous Linux et OS X. +\end{itemize} + +\medskip +\begin{enumerate} +\item Placez \tikz[remember picture,baseline=(n2.base)]\node [fill=orange,draw] (n2) {tkz-tab.sty}; dans le dossier \colorbox{green!50}{prof}. +\item Ouvrir un terminal, puis faire \colorbox{red!50}{|sudo texhash|} +\item Vérifier que \tkzname{xkeyval}\index{xkeyval} version 2.5 minimum et \tkzname{Ti\emph{k}Z 2.00}\index{TikZ@Ti\emph{k}Z} sont installés car ils sont obligatoires, pour le bon fonctionnement de tkz-tab. +\end{enumerate} +Mon dossier texmf est structuré ainsi : \emph{Attention, la présence dans mon dossier texmf, des fichiers de \PGF, s'explique par l'utilisation de la version CVS de \PGF}. + +\medskip +\begin{tikzpicture} [remember picture,rotate=90] + +\node (texmf) at (4,2) [draw,fill=blue!30 ] {texmf}; + +\node (tex) at (6,0) [draw ] {tex}; +\node (doc) at (0,0) [draw ] {doc}; + +\node (generic) at (7,-4) [draw ] {generic}; +\node (docgen) at (0,-4) [draw ] {generic}; + +\node (latex) at (4,-4) [draw ] {latex}; + +\node (pgf1) at (7,-7) [draw,fill=orange] {pgf}; + +\node (pgf2) at (5,-7) [draw,fill=orange] {pgf}; +\node (prof) at (4,-7) [draw,fill=green ] {{prof}}; +\node (etc) at (3,-7) [draw ] {etc...}; +\node (dpgf) at (0,-7) [draw,fill=orange] {pgf}; + +\node (qcm) at (7,-11) [draw,fill=green ] {alterqcm.sty}; +\node (fonc) at (6,-11) [draw,fill=orange] {tkz-graph.sty}; +\node (esp) at (5,-11) [draw,fill=orange] {tkz-berge.sty}; +\node (tab) at (4,-11) [draw,fill=orange] {tkz-tab.sty}; +\node (tuk) at (3,-11) [draw,fill=orange] {tkz-tukey.sty}; +\node (base) at (2,-11) [draw,fill=orange] {tkz-base.sty}; +\node (gra) at (1,-11) [draw,fill=orange] {tkz-fct.sty}; + +\draw (doc.west) |- (4, 1); +\draw (tex.west) |- (4, 1); + +\draw (latex.west) |- (6,-2); +\draw (generic.west) |- (6,-2); + +\draw (pgf2.west) |- (4,-6); +\draw (prof.west) |- (4,-6); +\draw (etc.west) |- (4,-6); + +\draw (qcm.west) |- (4,-9); +\draw (fonc.west) |- (6,-9); +\draw (esp.west) |- (5,-9); +\draw (tuk.west) |- (4,-9); +\draw (tab.west) |- (3,-9); +\draw (base.west) |- (2,-9); +\draw (gra.west) |- (4,-9); + + +\draw[-open triangle 90] (pgf1.west) -- (generic.east); +\draw[-open triangle 90] (4,1) -- (texmf.east); +\draw[-open triangle 90] (6,-2) -- (tex.east); +\draw[-open triangle 90] (4,-6) -- (latex.east); +\draw[-open triangle 90] (4,-9) -- (prof.east); +\draw[-open triangle 90] (dpgf.west) -- (docgen.east); +\draw[-open triangle 90] (docgen.west) -- (doc.east); +\end{tikzpicture} + +\begin{tikzpicture}[remember picture,overlay] + \path[->,thin,red,>=latex] (n1) edge [bend left] (latex); + \path[->,thin,red,>=latex] (n2) edge [bend left] (prof); +\end{tikzpicture} + +\subsection{Avec MikTeX sous Windows XP}\NameDist{MikTeX}\NameSys{Windows XP} + +Je ne connais pas grand-chose à ce système mais un utilisateur de mes packages \textbf{Wolfgang Buechel} a eu la gentillesse de me faire parvenir ce qui suit~: + +Pour ajouter \tkzname{tkz-tab.sty} à MiKTeX\footnote{Essai réalisé avec la version \tkzname{2.7}}: + +\begin{itemize}\setlength{\itemsep}{10pt} + \item ajouter un dossier \tkzname{prof} dans le dossier + \colorbox{blue!30}{\texttt{[MiKTeX-dir]/latex/tex}} + \item copier \tkzname{tkz-tab.sty} dans ce dossier, + \item mettre à jour MiKTeX, pour cela dans shell DOS lancer la commande \colorbox{red!50}{|mktexlsr -u|} + + ou bien encore, choisir \colorbox{red!50}{|Start/Programs/Miktex/Settings/General|} + + puis appuyer sur le bouton \colorbox{red!50}{|Refresh FNDB|}. +\end{itemize} + +\vfill
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-main.tex b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-main.tex new file mode 100644 index 0000000000..e9ffc3a560 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-main.tex @@ -0,0 +1,161 @@ + +% 25 / 02 /2009 v1.0c TKZdoc-tab-main 11h +% $Id: TKZdoc-tab-main.tex alain matthes $ +% encoding : utf8 +% linknodesdoc.tex +% Created by Alain Matthes on 2008-01-19. +% Copyright (C) 2009 Alain Matthes +% +% This file may be distributed and/or modified +% +% 1. under the LaTeX Project Public License , either version 1.3 +% of this license or (at your option) any later version and/or +% 2. under the GNU Public License. +% +% See the file doc/generic/pgf/licenses/LICENSE for more details.% +% See http://www.latex-project.org/lppl.txt for details. +% +% +% ``TKZdoc-tab-main '' is the french doc of tkz-tab +% +% +\documentclass[DIV=14,fontsize=10,headinclude=false,index=totoc,footinclude=false,headings=small]{tkz-doc} + +\usepackage{tkz-tab} +\usetikzlibrary[petri] +\usepackage[frenchb]{babel} +\usepackage[np,autolanguage]{numprint} + +\usepackage[pdftex,unicode, + colorlinks=true, + pdfpagelabels, + urlcolor=blue, + filecolor=pdffilecolor, + linkcolor=blue, + breaklinks =false, + hyperfootnotes=false, + bookmarks=false, + bookmarksopen=false, + linktocpage=true, + pdfsubject={qcm}, + pdfauthor={Alain Matthes}, + pdftitle={alterqcm}, + pdfkeywords={qcm, mathematics, table}, + pdfcreator={LaTeX} + ]{hyperref} +\usepackage{url} +\def\UrlFont{\small\ttfamily} +\usepackage[protrusion = true, + expansion, + final, + verbose = false, + babel = true]{microtype} + + +\DisableLigatures{encoding = T1, family = tt*} +\usepackage[parfill]{parskip} + + + +\gdef\urlauthorcom{http://altermundus.com} + +\gdef\nameofpack{Tkz-Tab} +\gdef\versionofpack{1.1c} +\gdef\dateofpack{2010/02/24} +\gdef\nameofdoc{doc-tkz-tab} +\gdef\dateofdoc{2010/02/24} +\gdef\authorofpack{Alain Matthes} +\gdef\adressofauthor{} +\gdef\namecollection{AlterMundus} +\gdef\urlauthor{http://altermundus.fr} +\gdef\urlauthor{http://altermundus.com} + +\usepackage{shortvrb} +\makeatletter +\renewcommand*\l@subsubsection{\bprot@dottedtocline{3}{3.8em}{4em}} +\makeatother +\AtBeginDocument{\MakeShortVerb{\|}} + +\pdfcompresslevel=9 +\pdfinfo{ + /Title (doc-tkz-tab.pdf) + /Creator (TeX) + /Producer (pdfeTeX) + /Author (Alain Matthes) + /CreationDate (13 mars 2009) + /Subject (Documentation du package tkz-tab v 1.1c) + /Keywords (pdfeTeX, tab, variations, function, sign, maths, pdflatex) } + +\colorlet{graphicbackground}{white} +\colorlet{codebackground}{Peach!20} +\newcommand*{\E}{\ensuremath{\mathrm{e}}} +\usepackage{tkzexample} +%<---------------------------------------------------------------------------> +\begin{document} + + +\title{\nameofpack} +\date{\today} +\clearpage +\thispagestyle{empty} +\maketitle +\clearpage + +\definecolor{fondpaille}{cmyk}{0,0,0.1,0} +\colorlet{graphicbackground}{fondpaille} +\colorlet{codebackground}{brown!15} +\colorlet{codeonlybackground}{brown!15} +\colorlet{textcodecolor}{Maroon} +\pagecolor{fondpaille} +\color{Maroon} +\tkzTabColors[backgroundcolor=fondpaille,color=Maroon] + +\nameoffile{\nameofpack} +\defoffile{\textbf{tkz-tab.sty} est un package pour créer à l'aide de \TIKZ des tableaux de signes et de variations le plus simplement possible. Il est dépendant de \TIKZ et fera partie d'une série de packages ayant comme point commun, la création de dessins utiles dans l'enseignement des mathématiques. La lecture de cette documentation va, je l'espère vous permettre d'apprécier la simplicité d'utilisation de \TIKZ et vous permettre de commencer à le pratiquer.} + +\presentation + +\vfill +\lefthand\ Je remercie \tkzimp{Till Tantau} pour nous permettre d'utiliser \tkzname{\TIKZ}. + +\lefthand\ Je remercie \tkzimp{Michel Bovani} pour nous permettre d'utiliser \tkzname{fourier} et \tkzname{utopia} avec \LaTeX. + +\lefthand\ Je remercie \tkzimp{Henri-Claude Dufresne } pour sa lecture approfondie de la documentation et ses propositions de correction. + +henri-claude Dufresne +\lefthand\ Je remercie également \tkzimp{Jean-Côme Charpentier}, \tkzimp{Manuel Pégourié-Gonnard}, \tkzimp{Franck Pastor}, \tkzimp{Ulrike Fischer} et \tkzimp{Josselin Noirel} pour les différentes idées et conseils qui m'ont permis de faire ce package, ainsi que \tkzimp{Herbert Vo\ss } pour son document \tkzname{mathmode.pdf}. + + + +\clearpage +\tableofcontents +%<---------------------------------------------------------------------------> +\newcommand*{\va}{\colorbox{red!50} {$\scriptscriptstyle V_a$}} +\newcommand*{\vb}{\colorbox{blue!50} {$\scriptscriptstyle V_b$}} +\newcommand*{\vbo}{\colorbox{blue!50} {$\scriptscriptstyle V_{b1}$}} +\newcommand*{\vbt}{\colorbox{yellow!50}{$\scriptscriptstyle V_{b2}$}} +\newcommand*{\vc}{\colorbox{gray!50} {$\scriptscriptstyle V_c$}} +\newcommand*{\vd}{\colorbox{magenta!50}{$\scriptscriptstyle V_d$}} +\newcommand*{\ve}{\colorbox{orange!50} {$\scriptscriptstyle V_e$}} +%<---------------------------------------------------------------------------> +\tkzTabColors[backgroundcolor=fondpaille,color=Maroon] + +\include{TKZdoc-tab-install} +\include{TKZdoc-tab-init} +\include{TKZdoc-tab-sign} +\include{TKZdoc-tab-variation} +\include{TKZdoc-tab-tv} +\include{TKZdoc-tab-valeurs} +\include{TKZdoc-tab-image} +\include{TKZdoc-tab-tangente} +\include{TKZdoc-tab-slope} +\include{TKZdoc-tab-style} +\include{TKZdoc-tab-adapt} +\include{TKZdoc-tab-examples} +%<--------------------------------------------------------------------------> +\printindex +\end{document} +%<-------------------------------------------------------------------------> + + + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-sign.tex b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-sign.tex new file mode 100644 index 0000000000..3d898779df --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-sign.tex @@ -0,0 +1,312 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-tab/doc/TKZdoc-tab-main.tex +% 22 / 02 /2009 v1.0c TKZdoc-tab-sign 10h +\section{Création d'une ligne de signes : \tkzcname{tkzTabLine}} +\subsection{Définition} + +\begin{NewMacroBox}{tkzTabLine}{\oarg{local options}\var{s(1),...,s(2n-1)}} + $n$ est le nombre d'éléments du second argument de \tkzname{tkzTabInit}. + +\medskip +\begin{tabular}{lll} +\toprule +symbole de rang impair & & définition \\ +\midrule +\TAline{z} {} {place un trait en pointillés et un zéro centré} +\TAline{t} {} {place un trait en pointillés centré} +\TAline{d} {} {place une double barre centrée} +\TAline{\BS textvisiblespace}{} {aucune action } +\bottomrule +\end{tabular} + +\medskip +\begin{tabular}{lll} +\toprule +symbole de rang pair & & définition \\ +\midrule +\TAline{h} {} {zone interdite} +\TAline{+} {} {le signe $+$} +\TAline{-} {} {le signe $-$} +\TAline{\BS textvisiblespace}{} {aucune action } +\bottomrule + +\end{tabular} + + +\medskip +\noindent\emph{\tkzcname{tkzTabLine} accepte comme argument une liste constituée de symboles. Dans une utilisation \tkzname{normale}, les symboles font partie de deux catégories; les symboles de rang impair et les symboles de rang pair. Cette distinction est due au fait que les symboles de rang impair sont en général des traits (filets) et ceux pour les places de rang pair sont en général des signes \og $+$ ou $-$ \fg. Les symboles de rang impair agissent graphiquement, et permettent de tracer des filets verticaux. L'argument de \tkzcname{tkzTabLine} en contient \tkzname{$n$} si on suppose que le deuxième argument de \tkzcname{tkzTabInit} possède \textcolor{red}{$n$} éléments (antécédents). Les symboles de rang pair permettent d'obtenir un signe \og $+$ ou $-$ \fg\ ou bien une zone interdite (hachurée ou colorée). Chaque ligne de signes en contient \tkzname{$n-1$} et contiendra donc un total de \tkzname{$2n-1$} éléments, c'est à dire \tkzname{$2n-2$} virgules !\\ +Les différents symboles "reconnus" sont donnés dans le tableau ci-dessus, mais vous devez savoir que l'on peut mettre pratiquement n'importe quoi. Cependant attention! la virgule \textcolor{red}{(,)} est le séparateur de liste aussi vous devez prendre des précautions pour introduire un nombre à virgule. Vous avez plusieurs possibilités~: +\begin{itemize} +\item[--] \{4,5\} on place le nombre entre des accolades. +\item[--] \tkzcname{numprint\{4,5\}} ou encore \tkzcname{np\{4,5\}}, ce qui nécessite de charger l'excellent package \tkzname{numprint}\NamePack{numprint} avec l'option \tkzname{np} pour le raccourci. +\end{itemize}} + +\medskip +\begin{tabular}{lllc} +\toprule +options & défaut & définition \\ +\midrule +\TOline{style} {dotted } {style des traits verticaux } +\TOline{help} {no default} {affiche la structure d'une ligne de signes} +\bottomrule +\end{tabular} + +\medskip +\noindent\emph{Il est possible de changer localement le style des filets verticaux et il est possible d'avoir des renseignements sur la structure de la ligne.} +\end{NewMacroBox} + +\subsection{Nombre d'arguments utilisés.} +La syntaxe générale est : + +\begin{tkzltxexample}[] + \tkzTabInit{ e(1),...,e(i),...,e(p)} % tableau à p lignes. + { a(1),...,a(i),...,a(n)} % n antécédents + \tkzTabLine{ s(1),...,s(i),...,s(2n-1)} +\end{tkzltxexample} + + +\medskip +Si on utilise \tkzname{$n$} antécédents pour la première ligne alors il y aura \tkzname{$n$} symboles de rang impair et \tkzname{$n-1$} symboles de rang pair, soit \tkzname{$2n-1$} symboles. + + Les principaux symboles utilisés sont : \tkzname{z} pour un zéro placé sur un trait, \tkzname{t} pour un trait correspondant à un zéro d'une autre ligne, \tkzname{d} pour une valeur pour laquelle l'expression n'est pas définie. + +Voyons une illustration simple : trois antécédents $a_1$, $a_2$, et $a_3$ permettront de mettre $2\times3 -1 =5$ symboles. Les $3$ valeurs de la première ligne impliquent pour l'argument de \tkzcname{tkzTabLine} de posséder {$2\times 3-1=5$} éléments c'est-à-dire être une liste comportant $3$ symboles de rang impair et $2$ symboles de rang pair, soit un total de $5$ symboles qui seront séparés par $4$ virgules. + +\begin{center} + \begin{tikzpicture} + \tkzTabInit[espcl=3,lgt=2]% + {\colorbox{red!40}{\textcolor{white}{$x$}} / 1,% + \colorbox{red!40}{\textcolor{white}{$f(x)$}} / 1}% + {\colorbox{blue!40}{\textcolor{white}{ $a_1$}},% + \colorbox{blue!40}{\textcolor{white}{ $a_2$}},% + \colorbox{blue!40}{\textcolor{white}{ $a_3$}}}% + \path (N11)--(N12) node[circle,draw, fill= lightgray,midway] {1}; + \path (N12)--(N21) node[midway] {$,$}; + \path (N21)--(N22) node[circle, draw, fill= lightgray,midway] {3}; + \path (N31)--(N32) node[circle,draw, fill= lightgray,midway] {5}; + \path (M11)--(M12) node[circle, draw, fill= orange!30,midway] {2}; + \path (M21)--(M22) node[circle,draw, fill= orange!30,midway] {4}; + \end{tikzpicture} +\end{center} + +Pour obtenir cette ligne, il faut entrer +\begin{tkzexample}[code only]\tkzTabLine{ $1$ , $2$ , $3$ , $4$ , $5$} +\end{tkzexample} + + + + + +\subsection{Emploi minimum} +La deuxième ligne est vide mais l'argument \tkzcname{tkzTabLine} doit comporter \tkzname{$4$} virgules. C'est en effet une liste comportant \tkzname{$5 = 2\times3-1$} valeurs. + +\begin{tkzexample}[code only] + \tkzTabLine{,,,,} ou \tkzTabLine{ , , , , }\end{tkzexample} + +\begin{tkzexample}[width=8cm,small] +\begin{tikzpicture} + \tkzTabInit[espcl=1.5] + {$x$ / 1 ,$f(x)$ /1 }% + {$v_1$ , $v_2$ , $v_3$ }% + \tkzTabLine{ , , , , } +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{\texttt{\textcolor{red}{t}} : ajout d'un trait} +Cette option place un simple trait verticalement. +\begin{tkzexample}[width=8cm,small] +\begin{tikzpicture} + \tkzTabInit[espcl=1.5] + {$x$ / 1 ,$f(x)$ /1 }% + {$v_1$ , $v_2$ , $v_3$ }% + \tkzTabLine{ t, , t , ,t } +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{\texttt{\textcolor{red}{z}} : ajout d'un zéro sur un trait vertical} +\begin{tkzexample}[width=8cm,small] +\begin{tikzpicture} + \tkzTabInit[espcl=1.5] + {$x$ / 1 ,$f(x)$ /1 }% + {$v_1$ , $v_2$ , $v_3$ }% + \tkzTabLine{ z, , z , ,z } +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{\texttt{\textcolor{red}{d}} : double barre} + +On peut aussi avoir le cas d'une fonction non définie en $0$ et en $2$ mais s'annulant en $1$. On place à chaque extrémité le symbole |d|. + +\begin{tkzexample}[width=7cm,small] +\begin{tikzpicture} + \tkzTabInit[espcl=1.5]% + {$x$ / 1,$g(x)$ / 1}% + {$0$,$1$,$2$}% +\tkzTabLine{d,+,0,-,d} +\end{tikzpicture} +\end{tkzexample} + +On peut aussi avoir le cas d'une fonction admettant une dérivée à droite différente de la dérivée à gauche + +\begin{tkzexample}[width=7cm,small] +\begin{tikzpicture} + \tkzTabInit[lgt=1.5,espcl=1.75]% + {$x$ / 1,$f'(x)$ / 1}% + {$-\infty$,$0$,$+\infty$}% + \tkzTabLine{,+,d,-,} +\end{tikzpicture} +\end{tkzexample} + +\subsection{Utilisation des symboles de rang pair} + +Pour un tableau de signe, en principe les symboles de rang pair mais il est possible de détourner l'emploi de base de cette macro. L'exemple suivant montre un cas classique d'une zone du tableau qui correspond à des valeurs interdites. par défaut avec le symbole \tkzname{h}, la zone est grisée mais on peut hachurer cette zone si on préfère. +Le dernier exemple montre comment détourner l'usage principal. + +\subsubsection{\texttt{\textcolor{red}{h}} : zone interdite} + +Une fonction peut ne pas être définie sur un intervalle, ici $[1~;~2]$. La partie du tableau qui correspond à cet intervalle sera hachurée ou bien colorée (par défaut, la zone est grisée). Des options permettant de personnaliser seront offertes. Pour l'exemple suivant, il suffit de placer |h| entre les deux |d| qui correspondent aux valeurs interdites\index{valeurs interdites} $1$ et $2$. + +\begin{tkzexample}[width=8cm, small] +\begin{tikzpicture} + \tkzTabInit[color,espcl=1.5] + {$x$ / 1,$g(x)$ / 1} + {$0$,$1$,$2$,$3$}% + \tkzTabLine{z, + , d , h , d , - , t} +\end{tikzpicture} +\end{tkzexample} + +\subsection{Utilisation des options} + +\subsubsection{\tkzname{t style} : modification du style des traits verticaux} +\Istyle{tkzTabLine}{t style} + +\begin{tkzexample}[width=8cm, small] +\begin{tikzpicture} +\tikzset{t style/.style = {style = dashed}} + \tkzTabInit[espcl=1.5] + {$x$ / 1 ,$f(x)$ /1 }% + {$v_1$ , $v_2$ , $v_3$ }% + \tkzTabLine{ t, , t , ,t } +\end{tikzpicture} +\end{tkzexample} + + +\begin{tkzexample}[width=8cm, small] + \tikzset{t style/.style = {style = densely dashed}} +\begin{tikzpicture} + \tkzTabInit[espcl=1.5] + {$x$ / 1 ,$f(x)$ /1 }% + {$v_1$ , $v_2$ , $v_3$ }% + \tkzTabLine{ z, , z , ,z } +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{\tkzname{help} : Affiche la structure du tableau} +\Iopt{tkzTabLine}{help} +Voir la section \og personnalisation \fg\ (\ref{pers}). + + +\subsection{Utilisation des styles} + +\subsubsection{\tkzname{h style} : modification de la couleur d'une zone interdite} +\Istyle{tkzTabLine}{h style} \index{zone interdite} +Si vous préférez hachurer une zone du tableau, alors il faut modifier un style. +\begin{tkzexample}[small] +\begin{tikzpicture} + \tikzset{h style/.style = {fill=red!50}} + \tkzTabInit[color,espcl=1.5]% + {$x$ / 1,$g(x)$ / 1}% + {$0$,$1$,$2$,$3$}% + \tkzTabLine{z,+,d,h,d,-,t} +\end{tikzpicture} +\end{tkzexample} + + +Cette fois la zone est hachurée. + \index{hachures} +\begin{tkzexample}[small] +\begin{tikzpicture} + \tikzset{h style/.style = + {pattern=north west lines}} + \tkzTabInit[color,espcl=1.5]% + {$x$ / 1,$g(x)$ / 1}% + {$0$,$1$,$2$,$3$}% + \tkzTabLine{z,+,,h,d,-,t} +\end{tikzpicture} +\end{tkzexample} + + + +\subsection{Exemples} + +\subsubsection{Simplification d'une expression comportant une valeur absolue } + +\begin{tkzexample}[width=7cm,small] + \begin{tikzpicture} + \tkzTabInit[lgt=2,espcl=1.75]% + {$x$/1,$2-x$/1, $\vert 2-x \vert $/1}% + {$-\infty$,$2$,$+\infty$}% + \tkzTabLine{ , + , z , - , } + \tkzTabLine{ , 2-x ,z, x-2, } +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Tableau de signes} + +\begin{tkzexample}[ small] +\begin{tikzpicture} + \tkzTabInit[lgt=3,espcl=1.5]% + {$x$ /1, + $x^2-3x+2$ /1, + $(x-\E)\ln x$ /1, + $\dfrac{x^2-3x+2}{(x-\E)\ln x}$ /2} + {$0$ , $1$ , $2$ , $\E$ ,$+\infty$} + \tkzTabLine{ t,+,z,-,z,+,t,+,} + \tkzTabLine{ d,+,z,-,t,-,z,+,} + \tkzTabLine{ d,+,d,+,z,-,d,+,} +\end{tikzpicture} +\end{tkzexample} + + +\subsubsection{Signe d'une expression du second degré} + +Si $\Delta \geq 0$ on peut écrire $\displaystyle ax^2+bx+c=a\left(x-\dfrac{-b-\sqrt{b^2-4ac}}{2a}\right)\left(x-\dfrac{-b+\sqrt{b^2-4ac}}{2a}\right)$ + + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tkzTabInit[color,lgt=5,espcl=3]% + {$x$ / .8,$\Delta>0$\\ Le signe de\\ $ax^2+bx+c$ /1.5}% + {$-\infty$,$x_1$,$x_2$,$+\infty$}% + \tkzTabLine{ , \genfrac{}{}{0pt}{0}{\text{signe de}}{a}, z + , \genfrac{}{}{0pt}{0}{\text{signe}}{\text{opposé de}\ a}, z + , \genfrac{}{}{0pt}{0}{\text{signe de}}{a}, } + \end{tikzpicture} +\end{tkzexample} + Il faut noter l'emploi de la macro \tkzcname{genfrac}\footnote{\tkzcname{genfrac} est une macro du package \tkzname{amsmath}}. + +\medskip +Si $\Delta = 0$ alors on peut écrire $\displaystyle ax^2+bx+c=a\left(x+\dfrac{b}{2a}\right)^2$ + +\begin{tkzexample}[vbox,width=7cm,small] +\begin{tikzpicture} + \tkzTabInit[color,lgt=5,espcl=3]% + {$x$ / 1 , $\Delta=0$\\ Le signe de\\ $ax^2+bx+c$ / 2}% + {$-\infty$,$\dfrac{-b}{2a}$,$+\infty$}% + \tkzTabLine{ , \genfrac{}{}{0pt}{0}{\text{signe de}}{ a} , z + , \genfrac{}{}{0pt}{0}{\text{signe de}}{a}, } +\end{tikzpicture} +\end{tkzexample} + +Si $\Delta < 0$ alors $\displaystyle ax^2+bx+c=a\left[\left(x+\dfrac{b}{2a}\right)^2 -\dfrac{b^2-4ac}{4a^2}\right]$ + +\begin{tkzexample}[vbox,width=7cm,small] +\begin{tikzpicture} + \tkzTabInit[color,lgt=5,espcl=5]% + {$x$/.8,$\Delta<0$\\ Le signe de\\ $ax^2+bx+c$/2}% + {$-\infty$,$+\infty$}% + \tkzTabLine{ , \genfrac{}{}{0pt}{0}{\text{signe de}}{ a}, } +\end{tikzpicture} +\end{tkzexample} + + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-slope.tex b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-slope.tex new file mode 100644 index 0000000000..07eba64a95 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-slope.tex @@ -0,0 +1,41 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-tab/doc/TKZdoc-tab-main.tex +% 20 / 02 /2009 v1.00c TKZdoc-tab-slope +\section{Nombres dérivés : \addbs{tkzTabSlope}} + +\begin{NewMacroBox}{tkzTabSlope}{\{Liste\}} + +\begin{tabular}{lllc} +\toprule +\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\ +\midrule +\IargName{tkzTabSlope}{Liste} & |no default| & $i$/eg($i$)/ed($i$) \\ +\bottomrule +\end{tabular} + +\medskip +\noindent\emph{$i$ est compris entre $1$ et $n$, $n$ étant le nombre de valeurs de la première ligne. +Cette macro permet de personnaliser les signes d'une fonction dérivée en indiquant par exemples des limites, les valeurs d'une dérivée à droite, à gauche. $i$ est le rang de l'antécédent qui correspond à la valeur de la dérivée, \tkzname{eg} et \tkzname{ed} sont les expressions que l'on veut placer soit à gauche et soit à droite.} +\end{NewMacroBox} + +\subsection{Ajout de nombres dérivés} +\Iaccent{nombres deriv}{nombres dérivés} +Étude de la fonction $f~:~ x \longmapsto \sqrt {x(x-1)^2}$ sur $[0~;~4]$ + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} +\tkzTabInit[lgt=3]% + {$x$/1,% + Signe\\ de $f'(x)$ /1,% + Variations\\ de\\ $\sqrt {x(x-1)^2}$ /4}% + {$0$ , $\dfrac{1}{3}$ , $1$ , $4$}% +\tkzTabLine{d ,+, 0 ,-, d ,+, } +\tkzTabSlope{1//+\infty,3/-1 /+1} +\tkzTabVar % + {- / $0$ , + + / $\dfrac{2\sqrt3}{9}$ , + - / $0$ , + + / $6$ } +\end{tikzpicture} +\end{tkzexample} + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-style.tex b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-style.tex new file mode 100644 index 0000000000..4364f11701 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-style.tex @@ -0,0 +1,292 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-tab/doc/TKZdoc-tab-main.tex + +% $Id$ +% TKZdoc-tab-style +% v 1.0c +% Created by Alain Matthes on 2010-02-23. +% Copyright (c) 2010 __Collège Sévigné__. All rights reserved. +% +\section{Utilisation des styles} +\subsection{Définition de \tkzcname{tkzTabSetup}} + +Le plus simple est d'utiliser la macro \tkzcname{tkzTabSetup}. Celle-ci permet de modifier les styles principaux. + +\begin{NewMacroBox}{tkzTabSetup}{\oarg{local options}} + +\begin{tabular}{llc} +\toprule +\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\ +\midrule +\IargName{tkzTabSetup}{doubledistance} & |1pt| & écart double barre \\ +\IargName{tkzTabSetup}{doublecolor} & |white| & couleur centrale dans la double barre \\ +\IargName{tkzTabSetup}{lw} & |0.4pt| & épaisseur d'un trait \\ +\IargName{tkzTabSetup}{color} & |black| & couleur d'un trait \\ +\midrule +\IargName{tkzTabSetup}{tstyle} & |dotted| & style des traits verticaux \\ +\IargName{tkzTabSetup}{tcolor } & |black| & couleur des traits verticaux \\ +\IargName{tkzTabSetup}{tanarrowstyle}&|latex'|&style d'une flèche pour une tangente \\ +\IargName{tkzTabSetup}{tanstyle}& |->| & style d'une tangente \\ +\IargName{tkzTabSetup}{tancolor}& |black| & couleur d'une tangente \\ +\IargName{tkzTabSetup}{tanwidth}& |0.4pt|& épaisseur d'une tangente \\ +\IargName{tkzTabSetup}{fromarrowstyle}&|latex'|&style d'une flèche antécédent -> image \\ +\IargName{tkzTabSetup}{fromstyle }& |->| & style antécédent -> image \\ +\IargName{tkzTabSetup}{fromcolor }& |black| & couleur antécédent -> image \\ +\IargName{tkzTabSetup}{fromwidth }& |0.4pt| & épaisseur antécédent -> image \\ +\IargName{tkzTabSetup}{hcolor } & |gray| & couleur d'une zone interdite \\ +\IargName{tkzTabSetup}{hopacity } & |0.4| & transparence de la couleur d'une zone interdite \\ +\IargName{tkzTabSetup}{crosslines}& |false| & booléen true hachure la zone interdite \\ +\IargName{tkzTabSetup}{arrowcolor}& |black| & couleur d'une flèche de variation \\ +\IargName{tkzTabSetup}{arrowstyle}& |latex'| & style d'une flèche de variation \\ +\IargName{tkzTabSetup}{arrowlinewidth}&|0.4pt|&épaisseur d'une flèche de variation \\ +\bottomrule +\end{tabular} + +\medskip +\noindent\emph{Cette macro s'utilise dès le début. Les épaisseurs sont en générale donnée en \tkzname{pt}, la valeur par défaut est la plus fréquente. } + +\end{NewMacroBox} + +\subsubsection{Utilisation de \tkzname{doubledistance} et \tkzname{hcolor}} + +\begin{center} +\begin{tikzpicture} + \tkzTabColors[backgroundcolor=fondpaille,% + color=Maroon] + \tkzTabSetup[doubledistance = 2pt] + \tkzTabInit[lgt=2,espcl=1] + {$x$ /1, $x^2-3x+2$ /1, $\ln (x^2-1)$ /1, $E(x)$ /1}% + {$-\infty$ ,$-\sqrt{2}$, $-1$ , $1$ ,$\sqrt{2}$ , $2$ , $+\infty$}% + \tkzTabLine{ , + , t , + , t , + , z , - , t , - , z , + , } + \tkzTabLine{ , + , z , - , d , h , d , - , z , + , t , + , } + \tkzTabLine{ , + , z , - , d , h , d , + ,z , - , z , + , } +\end{tikzpicture} +\end{center} + + +\begin{tkzexample}[code only,small] +\begin{tikzpicture} + \tkzTabColors[backgroundcolor=fondpaille,% + color=Maroon] +\tkzTabSetup[doubledistance = 2pt] +\tkzTabInit[lgt=2,espcl=1] +{$x$ /1, $x^2-3x+2$ /1, $\ln (x^2-1)$ /1, $E(x)$ /1}% +{$-\infty$ ,$-\sqrt{2}$, $-1$ , $1$ ,$\sqrt{2}$ , $2$ , $+\infty$}% +\tkzTabLine{ , + , t , + , t , + , z , - , t , - , z , + , } +\tkzTabLine{ , + , z , - , d , h , d , - , z , + , t , + , } +\tkzTabLine{ , + , z , - , d , h , d , + ,z , - , z , + , } +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Utilisation de \tkzname{fromcolor} et \tkzname{tancolor}} + +\begin{center} + \begin{tikzpicture} + \tkzTabSetup[fromcolor = red, tancolor = blue,,backgroundcolor=fondpaille,% + color=Maroon] + \tkzTabInit[espcl=4] + { $x$ /1, $f''(x)$ /1, $f'$ /3, $f$ /4}% + { $0$ , $1$ , $\alpha$,$+\infty$ }% + \tkzTabLine {d , + , z , - , , - }% + \tkzTabVar + {- / $1$ /, + / /, R / /, - / $-\infty$ /} + + \tkzTabVal[draw]{2}{4}{0.5}{}{0} + \tkzTabIma[draw]{2}{4}{3}{$0$} + \tkzTabTan[pos]{1}{2}{2}{$2$} + \tkzTabVar + {- / $-\infty$ , R / , + / $1$ , - / $0$ } + \tkzTabIma[draw]{1}{3}{2}{$0$} + \end{tikzpicture} +\end{center} + + +\begin{tkzexample}[code only,small] +\begin{tikzpicture} + \tkzTabSetup[fromcolor = red, tancolor = blue,,backgroundcolor=fondpaille,% + color=Maroon] + \tkzTabInit[espcl=4] + { $x$ /1, $f''(x)$ /1, $f'$ /3, $f$ /4}% + { $0$ , $1$ , $\alpha$,$+\infty$ }% + \tkzTabLine {d , + , z , - , , - }% + \tkzTabVar + {- / $1$ /, + / /, R / /, - / $-\infty$ /} + + \tkzTabVal[draw]{2}{4}{0.5}{}{0} + \tkzTabIma[draw]{2}{4}{3}{$0$} + \tkzTabTan[pos]{1}{2}{2}{$2$} + \tkzTabVar + {- / $-\infty$ , R / , + / $1$ , - / $0$ } + \tkzTabIma[draw]{1}{3}{2}{$0$} +\end{tikzpicture} +\end{tkzexample} + +\subsection{Utilisation de \tkzcname{tikzset} pour modifier les styles} + +Voici la liste des styles qui sont utilisés et leurs définitions. + +\begin{tabular}{ll} +\toprule +\tkzname{node style} & style des nodes utilisé pour les valeurs placées dans le tableau \\ +\tkzname{low left} & valeur située en bas et à gauche d'un trait vertical \\ +\tkzname{low right} & valeur située en bas et à droite d'un trait vertical\\ +\tkzname{hight left} & valeur située en haut et à gauche d'un trait vertical\\ +\tkzname{hight right}& valeur située en haut et à droite d'un trait vertical\\ +\tkzname{low} & valeur située en bas d'un trait vertical \\ +\tkzname{hight } & valeur située en haut d'un trait vertical \\ +\tkzname{on double} & couleur du fond sous une double barre \\ +\tkzname{tan style} & style pour une tangente\\ +\tkzname{arrow style} & style pour les flèches des variations\\ +\tkzname{from style} & style pour la ligne allant d'un antécédent à une image\\ +\tkzname{h style} & style pour une zone interdite\\ +\tkzname{double style} & style pour une double barre\\ +\tkzname{t style} & style pour un trait vertical\\ +\bottomrule +\end{tabular} + + +Les valeurs par défaut utilisées sont les suivantes : +\begin{tkzexample}[code only, small] +\def\tkzTabDefaultWritingColor{black} +\def\tkzTabDefaultBackgroundColor{white} +\def\tkzTabDefaultLineWidth{0.4pt} +\def\tkzTabDefaultArrowStyle{latex'} +\def\tkzTabDefaultSep{2pt} +\end{tkzexample} + +les principaux styles par défaut sont : + +\begin{tkzexample}[code only, small] +\tikzset{node style/.style = {inner sep = \tkzTabDefaultSep, + outer sep = \tkzTabDefaultSep, + fill = \tkzTabDefaultBackgroundColor}} +\tikzset{tan style/.style = {> = \tkzTabDefaultArrowStyle, + ->, + color = \tkzTabDefaultBackgroundColor}} +\tikzset{arrow style/.style = {\tkzTabDefaultWritingColor, + ->, + > = \tkzTabDefaultArrowStyle, + shorten > = \tkzTabDefaultSep, + shorten < = \tkzTabDefaultSep}} +\tikzset{from style/.style = {shorten > = \tkzTabDefaultSep, + shorten < = \tkzTabDefaultSep, + line width = \tkzTabDefaultLineWidth, + > = \tkzTabDefaultArrowStyle, + ->, + draw = \tkzTabDefaultWritingColor, + dotted}} +\tikzset{t style/.style = {style = dotted, + draw = \tkzTabDefaultWritingColor}} +\tikzset{h style/.style = {pattern = north west lines, + pattern color = \tkzTabDefaultWritingColor}} +\tikzset{on double/.style = {fill = \tkzTabDefaultBackgroundColor}} +\tikzset{double style/.append style = {% + draw = \tkzTabDefaultWritingColor, + double = \tkzTabDefaultBackgroundColor}} +\end{tkzexample} + +Les couleurs de fond pour les différentes sont définies par les styles : +\begin{tkzexample}[code only, small] +\tikzset{fondC/.style={fill = \tkzTabDefaultBackgroundColor}} +\tikzset{fondL/.style={fill = \tkzTabDefaultBackgroundColor}} +\tikzset{fondT/.style={fill = \tkzTabDefaultBackgroundColor}} +\tikzset{fondV/.style={fill = \tkzTabDefaultBackgroundColor}} +\end{tkzexample} +Enfin les approches des valeurs par les flèches sont : +\begin{tkzexample}[code only, small] +\tikzset{low left/.style = {above left = \tkzTabDefaultSep}} +\tikzset{low right/.style = {above right = \tkzTabDefaultSep}} +\tikzset{high right/.style = {below right = \tkzTabDefaultSep}} +\tikzset{high left/.style = {below left = \tkzTabDefaultSep}} +\tikzset{low/.style = {above = \tkzTabDefaultSep}} +\tikzset{high/.style = {below = \tkzTabDefaultSep}} +\end{tkzexample} + +\subsubsection{Utilisation de \tkzcname{tikzset} et \tkzname{h style}} + + +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} + \tkzTabColors[backgroundcolor=fondpaille,% + color=Maroon] + \tkzTabSetup[doubledistance = 2pt] + \tikzset{h style/.style = {fill=red!50}} + \tkzTabInit[color,espcl=1.5]% + {$x$ / 1,$g(x)$ / 1}% + {$0$,$1$,$2$,$3$}% + \tkzTabLine{z,+,d,h,d,-,t} +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Utilisation de \tkzcname{tikzset} et \tkzname{h style}} + +\begin{tkzexample}[latex=7cm,small] +\begin{tikzpicture} +\tikzset{h style/.append style = {% + pattern=north east lines}} +\tkzTabInit[color,espcl=1.5]% + {$x$ / 1,$g(x)$ / 1}% + {$0$,$1$,$2$,$3$}% +\tkzTabLine{z,+,,h,d,-,t} +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Utilisation de \tkzcname{tikzset} et \tkzname{arrow style}} + +\begin{center} + \begin{tkzexample}[vbox,small] + %\newcommand*{\E}{\ensuremath{\mathrm{e}}} + \begin{tikzpicture} + + \tikzset{arrow style/.append style = {red,shorten >=6pt,shorten <=6pt}} + \tkzTabInit[espcl=5]{$x$ /1, $\ln x +1$ /1.5, $x \ln x$ /2}% + {$0$ ,$1/\E$ , $+\infty$}% + \tkzTabLine{d,-,z,+,} + \tkzTabVar% + { D+/ / $0$ ,% + -/ \colorbox{black}{\textcolor{white}{$\dfrac{-1}{e}$}}/ ,% + +/ $+\infty$ / }% + \end{tikzpicture} + \end{tkzexample} +\end{center} + + +\subsubsection{Utilisation de \tkzcname{tikzset} et \tkzcname{tkzTabSetup}} + + On remarquera la dernière utilisation de \tkzcname{tkzTabSetup} qui remet les valeurs par défaut. + +\begin{center} + \begin{tkzexample}[vbox,small] + % \newcommand*{\va}{\colorbox{red!50} {$\scriptscriptstyle V_a$}} + % \newcommand*{\vb}{\colorbox{blue!50} {$\scriptscriptstyle V_b$}} + % \newcommand*{\vc}{\colorbox{gray!50} {$\scriptscriptstyle V_c$}} + % \newcommand*{\vd}{\colorbox{magenta!50}{$\scriptscriptstyle V_d$}} + % \newcommand*{\ve}{\colorbox{orange!50} {$\scriptscriptstyle V_e$}} + + \begin{tikzpicture} + \tkzTabSetup[fromcolor = red, + fromstyle = dashed, + fromwidth = 1pt, + fromarrowstyle = stealth', + arrowcolor = green ] + \tkzTabInit[lgt=1.5,espcl=5]{ $x$/.7,$f''(x)$/.7,$f'$/3,$f$/3 }% + { $a$ , $d$ ,$e$} + \tkzTabLine{ z,+ ,z,- ,z } + \tkzTabVar {-/\va ,+/\vd , -/ \ve} + \tkzTabVal[draw,remember=vb]{1}{2}{0.333}{b}{$1$} + \tikzset{from style/.append style = {draw = blue}} + \tkzTabVal[draw,remember=vc]{1}{2}{0.666}{c}{$2$} + \tkzTabVar{-/$-\infty$ ,R/ , +/ $+\infty$} + \tkzTabSetup + \tkzTabVal[draw]{1}{3}{0.5}{}{$0$} + \draw[opacity=0.5,fill=red!40] (vb) circle(2ex); + \draw[opacity=0.5,fill=blue!40] (vc) circle(2ex); + \end{tikzpicture} + \end{tkzexample} +\end{center} + + + +\endinput + + + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-tangente.tex b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-tangente.tex new file mode 100644 index 0000000000..f7d7354d54 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-tangente.tex @@ -0,0 +1,183 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-tab/doc/TKZdoc-tab-main.tex +% $Id$ +% 20 / 02 /2009 v1.00c TKZdoc-tab-tangente +% Created by Alain Matthes on 2010-02-23. +% Copyright (c) 2010 __Collège Sévigné__. All rights reserved. +% + +\section{Tangente horizontale : \addbs{tkzTabTan} et \addbs{tkzTabTanFrom}} +\subsection{Définition de \tkzcname{tkzTabTan}} + +\begin{NewMacroBox}{tkzTabTan}{\oarg{local options}\{Début\}\{Fin\}\{Position\}\{Image\}} + +\begin{tabular}{lllc} +\toprule +\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\ +\midrule +\IargName{tkzTabTan}{Début}&|no default|&rang de l'origine de la flèche \\ +\IargName{tkzTabTan}{Fin}&|no default|& rang de l'extrémité de la flèche \\ +\IargName{tkzTabTan}{Position} & |no default| & rang de l'antécédent \\ +\IargName{tkzTabTan}{Image} & |no default| & valeur de l'image \\ +\bottomrule +\end{tabular} + +\medskip +\noindent\emph{Il s'agit de savoir sur quelle flèche, on va positionner la tangente. \tkzname{Début} et \tkzname{Fin} sont les rangs des valeurs qui déterminent les extrémités de la flèche. \tkzname{Position} est le rang de la valeur qui correspond à la tangente. \tkzname{Image} est la valeur que l'on peut joindre à la tangente (ordonnée du point de contact).} + +\medskip +\begin{tabular}{lllc} +\toprule +\texttt{options} & \texttt{défaut} & \texttt{définition} \\ +\midrule +\IoptName{tkzTabTan}{pos} & |below| & position de la valeur \\ +\bottomrule +\end{tabular} + +\medskip +\noindent\emph{Il existe une option \tkzname{pos} qui permet de positionner cette valeur sous la tangente.\\} + +\end{NewMacroBox} + + +\subsection{Utilisation des arguments} + +\subsubsection{Palier} +La flèche débute pour la valeur initiale $0$ donc de rang $1$ et se termine pour $+\infty$, valeur de rang $3$. La tangente est ici en $x=1$ soit la valeur de rang $2$. + +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \tkzTab[espcl=6]{$x$/1,$f'(x)$ /1, $f$/3}% + {$0$ , $1$ , $+\infty$}% + {d , + , 0 , + , } + {D- / $-\infty$ , R / , +/ $+\infty$}% + \tkzTabTan{1}{3}{2}{\scriptsize $2$} +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Tangente à l'extrémité d'un intervalle} +Dans l'exemple ci-dessous, la flèche débute pour la valeur initiale $0$ donc de rang $1$ et se termine pour $1$, valeur de rang $2$. La tangente est ici en $x=1$ soit la valeur de rang $2$. Il faut remarquer que la macro \tkzcname{tkzTabTan} s'applique à la ligne de variations qui la précède. + +La valeur $0$ de l'image de $1$ par $f$ n'est pas indiquée dans \tkzcname{tkzTabVar}. Elle serait sous les flèches représentant la tangente, aussi elle est passée comme argument de \tkzcname{tkzTabTan} avec l'option \tkzname{pos=below}. + +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \tkzTabInit[espcl=6]{$x$ /1,$f'(x)$/1,$f$/2}{$0$,$1$,$+\infty$}% + \tkzTabLine{t , + , z , - , }% + \tkzTabVar{-/ $-1$ , +/ , -/$-\infty$ } + \tkzTabTan[pos=below]{1}{2}{2}{$0$} +\end{tikzpicture} +\end{tkzexample} + +\subsection{Utilisation des options} + +\subsubsection{\texttt{\textcolor{red}{pos}} : position de la valeur} + +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \tkzTabInit[espcl=5]{$x$/1,$f''{x}$/1,$f'(x)$/2,$f(x)$/2}{$0$,$1$,$+\infty$}% + \tkzTabLine{d,+,0,-,}% + \tkzTabVar{-/ $-\infty$ ,+/ ,-/$-\infty$} + \tkzTabTan[pos=below]{1}{2}{2}{$0$} + \tkzTabVar{+/ $+\infty$ , R/ , -/ $0$} + \tkzTabTan{1}{3}{2}{$1$} +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Variations imbriquées} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \tkzTabInit[espcl=3] + {$x$ /1, + $f''(x)$ /1, + $f'$ /3, + $f$ /3}% + {$0$ , $\alpha$ , $1$ , $\beta$, $+\infty$ }% + \tkzTabLine {d , +, , + , z , - , , - }% + \tkzTabVar {-/ $-1$ / , R/ ,+/ , R/ , -/ $-\infty$ } + \tkzTabIma[draw]{1}{3}{2}{0} + \tkzTabIma[draw]{3}{5}{4}{0} + \tkzTabTan[pos]{1}{3}{3}{$2$} + \tkzTabVar{+/ $+\infty$ , - / , R/,+/ , -/ $0$ } + \tkzTabTan[]{1}{2}{2}{$1$} + \tkzTabTan[pos=below]{2}{4}{4}{$2$} +\end{tikzpicture} +\end{tkzexample} + + +\subsection{Définition de \textcolor{red}{tkzTabTanFrom}} + +\begin{NewMacroBox}{tkzTabTanFrom}{\oarg{local options}\{Début\}\{Fin\}\{Position\}\{Image\}} + +\begin{tabular}{lllc} +\toprule +\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\ +\midrule +\IargName{tkzTabTanFrom}{Début} & |no default| & rang de l'origine de la flèche \\ +\IargName{tkzTabTanFrom}{Fin} & |no default| & rang de l'extrémité de la flèche \\ +\IargName{tkzTabTanFrom}{Position} & |no default| & nom d'un point \\ +\IargName{tkzTabTanFrom}{Image} & |no default| & valeur de l'image \\ +\bottomrule +\end{tabular} + +\medskip +\noindent\emph{La position est donnée par le nom d'un point ou d'un node.} + +\medskip +\begin{tabular}{lllc} +\toprule +\texttt{options} & \texttt{défaut} & \texttt{définition} \\ +\midrule +\IoptName{tkzTabTan}{pos} & |below| & position de la valeur \\ +\bottomrule +\end{tabular} + + +\end{NewMacroBox} +\subsection{Le nom est défini par le tableau} +Le nom du node qui correspond à $\alpha$ est ici \tkzname{N21} (antécédent de rang 2, premier filet sous la valeur.) +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} +\tkzTabInit[ espcl=6] +{ $x$ /1, + $f'(x)$ /1, + $f$ /3} +{ $0$ , $\alpha$ , $+\infty$ }% +\tkzTabLine { , ,+, , }% +\tkzTabVar{-/ $-1$ , R , +/ $+1$ /}% +\tkzTabTanFrom[pos=below]{1}{3}{N21}{$0$} +\end{tikzpicture} +\end{tkzexample} + +\subsection{Le nom est donné par l'utilisateur avec l'option \texttt{\textcolor{red}{remember}}} + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} +\tkzTabInit[ espcl=4] +{ $x$ /1, + $f''(x)$ /1, + $f'$ /2, + Signe de $f'(x)$ /2, + $f$ /3} +{ $0$ , $1$ , $\alpha$ , $+\infty$ }% +\tkzTabLine {d,+,0,-, ,- }% +\tkzTabVar +{-/ $1$ , + +/ , + R/ , + -/ $-\infty$ }% +\tkzTabTan[pos,remember=v1]{1}{2}{2}{$2$}% +\tkzTabVal[remember=v2]{2}{4}{0.5}{}{0}% +\tkzTabLine { ,, +,, z,- }% +\tkzTabVar +{-/ $-\infty$ , + R/ , + +/ , + -/ $0$ } +\tkzTabImaFrom[]{1}{3}{v1}{0}% +\tkzTabImaFrom[]{3}{4}{v2}{}% +\tkzTabTanFrom[pos=below]{3}{4}{v2}{$1$} +\end{tikzpicture} +\end{tkzexample} + + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-tv.tex b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-tv.tex new file mode 100644 index 0000000000..54a611b720 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-tv.tex @@ -0,0 +1,87 @@ +% 20 / 02 /2009 v1.00c TKZdoc-tab-tv +\section{Création d'un tableau de variations : \addbs{tkzTab}} +\subsection{Définition} +\begin{NewMacroBox}{tkzTab}% +{\oarg{local options}\var{liste1}\var{liste2}\var{liste3}\var{liste4}} + +\medskip +\begin{tabular}{lllc} +\toprule +\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\ +\midrule +\IargName{tkzTab}{liste1} & |no default| & \var{e(1)/h(1),\dots,e(p)/h(p)} première colonne \\ +\IargName{tkzTab}{liste2} & |no default| & \var{a(1),\dots,a(n)} antécédents de la première ligne \\ +\IargName{tkzTab}{liste3} & |no default| & \var{s(1),\dots,s(2n-1)} symboles de la ligne de signes \\ +\IargName{tkzTab}{liste4} & |no default| & \var{s(1)/eg(1)/ed(1),\dots,s($q$)/eg($q$)/ed($q$)} variations \\ +\bottomrule +\end{tabular} + +\medskip +\noindent\emph{La macro \emph{\tkzcname{tkzTab}} est un raccourci pour enchaîner \tkzcname{tkzTabInit}, \tkzcname{tkzTabLine} et \tkzcname{tkzTabVar}. Les \tkzname{options} sont identiques à celles de \tkzcname{tkzTabInit}. Ces tableaux ne concernent que les tableaux à trois lignes pour la variable, le signe de la dérivée et les variations de la fonction.} +\end{NewMacroBox} + +\medskip + +\begin{tkzexample}[code only] + \tkzTab{ e(1) / h(1) , + ... , + e(p) / h(p)} + { v(1), ... ,v(n) } + { a(1),...,a(2n-1)} + { s(1) / eg(1) / ed(1), ... ,s(n) / eg(n) / ed(n)} +\end{tkzexample} + +\subsection{Exemple 1} + +Étude de la fonction $f~:~ x \longmapsto x^2$ sur $[-5~;~7]$ + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} +\tkzTab[lgt=3,espcl=5]{ $x$ / 1, + $f'(x)$ / 1, + Variations de \\$f$ / 2} + { $-5$ , $0$ ,$7$} + { ,-,z,+,} + { +/$25$ , -/$0$ , +/ $49$}% +\end{tikzpicture} +\end{tkzexample} + +\subsection{Exemple 2} +Étude de la fonction $f~:~ x \longmapsto x \ln x $ sur $]0~;~+\infty]$ + +\begin{tkzexample}[vbox,small] + \begin{tikzpicture} + \tkzTab[espcl=5,lgt=3]{$x$ / 1, Signe de \\$\ln x +1$ / 1.5,% + Variations de \\$f$ / 3}% + {$0$ ,$1/\E$ , $+\infty$}{d,-,z,+,} + {D+/ $0$,% + -/ \colorbox{black}{\textcolor{white}{$\dfrac{-1}{e}$}} ,% + +/ $+\infty$ }% +\end{tikzpicture} +\end{tkzexample} + +\subsection{Exemple 3} + Étude de la fonction $f~:~ $x$ \longmapsto \sqrt{x^2-1}$ sur $]-\infty~;~-1] \cup [1~;~+\infty[$ + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tkzTab{ $x$ / 1, $f'(x)$ / 1, $f$ / 2}% + { $-\infty$, $-1$ ,$1$, $+\infty$} + { ,-,d,h,d,+, } + { +/$+\infty$ , -H/$0$, -/$0$ , +/ $+\infty$ }% +\end{tikzpicture} +\end{tkzexample} + +\subsection{Exemple 4} + Étude de la fonction $f~:~ $t$ \longmapsto \frac{t^2}{t^2-1}$ sur $[0~;~+\infty[$ + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tkzTab{ $t$ / 1, Signe de\\ $f'(t)$ / 2, Variation de \\$f$ / 2}% + { $0$, $1$, $+\infty$} + { z , - , d , - , } + { +/$0$ , -D+/$-\infty$/$+\infty$, -/ $1$ }% +\end{tikzpicture} +\end{tkzexample} +\endinput + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-valeurs.tex b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-valeurs.tex new file mode 100644 index 0000000000..dda8e4a336 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-valeurs.tex @@ -0,0 +1,166 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-tab/doc/TKZdoc-tab-main.tex +% 20 / 02 /2009 v1.00c TKZdoc-tab-valeurs +\section{Valeurs intermédiaires \addbs{tkzTabVal}} +Cette macro permet de placer une valeur sur une flèche de la ligne des variations. Elle doit être employée juste après la commande \tkzcname{tkzTabVar} définissant la ligne de variations sur laquelle on souhaite placer les valeurs intermédiaires. On ne peut placer une valeur que dans un intervalle où la fonction est \tkzname{monotone}. Cette macro permet d'afficher une nouvelle valeur (intermédiaire) dans la première ligne. + +\subsection{Définition de \addbs{tkzTabVal}} + +\begin{NewMacroBox}{tkzTabVal}{\oarg{local options}\{Début\}\{Fin\}\{Position\}\{Antécédent\}\{Image\}} + +\begin{tabular}{lllc} +\toprule +\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\ +\midrule +\IargName{tkzTabVal}{Début} & |no default| & rang de l'origine de la flèche \\ +\IargName{tkzTabVal}{Fin} & |no default| & rang de l'extrémité de la flèche \\ +\IargName{tkzTabVal}{Position} & |no default| & nombre décimal entre $0$ et $1$ \\ +\IargName{tkzTabVal}{Antécédent}& |no default| & valeur de l'antécédent si nécessaire \\ +\IargName{tkzTabVal}{Image} & |no default| & valeur de l'image si nécessaire \\ +\bottomrule +\end{tabular} + +\medskip +\noindent\emph{Ceci mérite quelques commentaires : Il s'agit de savoir sur quelle flèche, on va positionner l'image. \tkzname{Début} et \tkzname{Fin} sont les rangs des valeurs qui déterminent les extrémités de la flèche. \tkzname{Antécédent} \tkzname{Image} sont les valeurs que l'on veut placer. \tkzname{Position} est un nombre qui est obligatoirement compris entre $0$ et $1$. C'est une abscisse en prenant comme origine \tkzname{Début} et comme extrémité \tkzname{Fin}.} + +\medskip +\begin{tabular}{lllc} +\toprule +\texttt{options} & \texttt{défaut} & \texttt{définition} \\ +\midrule +\IoptName{tkzTabVal}{draw} & |true| & dessin d'une flèche entre l'antécédent et son image \\ +\IoptName{tkzTabVal}{remember}& |lastval|& définit un node personnalisé \\ +\bottomrule +\end{tabular} + +\medskip +\noindent\emph{Si vous voulez une flèche entre l'antécédent et l'image, il vous suffit de passer en option \tkzname{draw}. Si vous voulez référencer le point où se situe l'image alors il faut utiliser l'option \tkzname{remember}.} +\end{NewMacroBox} + +\subsubsection{Ajout de valeurs intermédiaires} + +Le premier exemple montre des valeurs remarquables pour la fonction $\ln$. Il s'agit de mettre en évidence des valeurs importantes pour la fonction. La fonction est monotone entre les valeurs de rang $1$ ($0$) et $2$ ($+\infty$), ainsi les deux premiers arguments sont $1$ et $2$. Les coefficients utilisés pour \tkzname{Position} sont des nombres \tkzname{décimaux} ici $0.33$ et $0.66$. Les antécédents n'étaient pas présents dans la première ligne aussi leurs valeurs sont passées dans les arguments. + +\begin{tkzexample}[code only] + \tkzTabVal{1}{2}{0.33}{1}{0} + \tkzTabVal{1}{2}{0.66}{\E}{1} +\end{tkzexample} + +\begin{tkzexample}[vbox, small] +\begin{tikzpicture} +\tkzTabInit[lgt=3,espcl=10] {$x$ /1, Signe\\ de $\dfrac{1}{x}$ /1.5,% + Variation\\ de $\ln$ /2} {$0$ , $+\infty$}% + \tkzTabLine{d,+,}% + \tkzTabVar[color=red]{ D- / $-\infty$, + / $+\infty$ } + \tkzTabVal{1}{2}{0.33}{1}{0} + \tkzTabVal{1}{2}{0.66}{\E}{1} +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Ajout de valeurs intermédiaires avec une fonction non monotone } + +On ne peut utiliser la macro que sur un intervalle où la fonction est monotone, ici il y a trois valeurs +\mbox{$0$, $\E$ et $+\infty$}. La fonction est monotone entre les deux premières c'est à dire entre les valeurs de rang $1$ et $2$ ainsi qu'entre les deux dernières de rang $2$ et $3$. + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tkzTabInit[espcl=6]{$x$ / 1 , $f'(x)$ / 1, $f(x)$ / 2} + {$0$, $\E$ , $+\infty$}% + \tkzTabLine{d,+,0,-,}% + \tkzTabVar{D- / $-\infty$, + / $\E$, - / $0$ }% + \tkzTabVal[draw]{1}{2}{0.6}{$1$}{$\dfrac{1}{\E}$}% + \tkzTabVal[draw]{2}{3}{0.4}{$\E^2$}{$1$}% +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Ajout de valeurs intermédiaires avec un palier} + +Il ne faut pas s'arrêter au deuxième antécédent. La fonction est monotone mais admet un palier. L'option \tkzname{R} permet d'éviter qu'une flèche s'arrête pour $\sqrt\E$. La flèche va donc de la valeur de rang $1$ à la valeur de rang $3$. Le code est donc : +\begin{tkzexample}[code only] + \tkzTabVal[draw]{1}{3}{0.6}{\E}{$\dfrac{-1}{\E}$} +\end{tkzexample} + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tkzTabInit[espcl=6]{$x$/1,$f'(x)$/1, $f(x)$/2} + {$0$,$\sqrt\E$,$+\infty$}% + \tkzTabLine{d,+,0,+,}% + \tkzTabVar{D- / $-\infty$,R / ,+ / $0$ } + \tkzTabVal[draw]{1}{3}{0.4}{$1$}{$-\E$} +\end{tikzpicture} +\end{tkzexample} + + +\subsubsection{Valeurs intermédiaires et plusieurs lignes de variations } +\Iopt{tkzTabVal}{draw} + +Les variations de $f$ et $f'$ sont représentées. Pour $f$ la valeur $1$ n'est pas utilisée, on passe donc du rang $1$ au rang $3$. + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tkzTabInit[espcl=6]{$x$/1,$f''(x)$/1,$f'(x)$/3,$f(x)$/3} + {$0$,$1$,$+\infty$}% + \tkzTabLine{d,+,0,-, }% + \tkzTabVar{-/ $-\infty$ ,+/ ,-/ $-\infty$ } + \tkzTabVal[draw]{1}{2}{0.3}{$0,3$}{$-2$} + \tkzTabVal[draw]{2}{3}{0.6}{$4$}{$-1$} + \tkzTabVar{+/ $+\infty$,R ,-/ $-1$} + \tkzTabVal[draw]{1}{3}{0.6}{$2$}{$0$} +\end{tikzpicture} +\end{tkzexample} + +\subsection{Utilisation des options} + +\subsubsection{\texttt{\textcolor{red}{draw}} : ajout d'une flèche vers la valeur ajoutée}\Iopt{tkzTabVal}{draw} +L'option a déjà été utilisée dans les exemples précédents, en voici un autre. + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tkzTabInit[lgt=3,espcl=10]{$x$ /1, + Signe\\ de $\dfrac{1}{x}$ /2, + Variation\\ de $\ln$ /3} + {$0$ , $+\infty$ }% + \tkzTabLine {d,+ , }% + \tkzTabVar[color=red]{D-/ $-\infty$ , +/$+\infty$}% + \tkzTabVal[draw]{1}{2}{0.24}{\scriptsize $1-h$}{$<0$}% + \tkzTabVal[draw]{1}{2}{0.3}{$1$}{$0$}% + \tkzTabVal[draw]{1}{2}{0.36}{\scriptsize $1+h$}{$>0$}% + \tkzTabVal[draw]{1}{2}{0.64}{$2,7$}{$<$}% + \tkzTabVal[draw]{1}{2}{0.7}{$\E$}{$1$}% + \tkzTabVal[draw]{1}{2}{0.76}{$2,8$}{$>$}% +\end{tikzpicture} +\end{tkzexample} + + +\subsubsection{\texttt{\textcolor{red}{remember}} : attribuer un nom à un point ou un node.} +\Iopt{tkzTabVal}{remember} + +Cette option permet d'utiliser \tkzcname{tkzTabImaFrom} mais il est possible de récupérer les noms des nodes et de les traiter avec par exemple du code de \TIKZ. + +\begin{tkzexample}[code only] + \draw[opacity=0.4,fill=red!20] (vb) circle(3ex); + \draw[opacity=0.4,fill=blue!20] (vc) circle(3ex); +\end{tkzexample} + + +\begin{tkzexample}[,small] + \begin{tikzpicture} + \tkzTabInit[lgt=3,espcl=6]{ $x$/1,/1,/3,/3 }% + { $a$ , $d$ ,$e$} + \tkzTabLine{ z,+ ,z,- ,z } + \tkzTabVar {-/\va ,+/\vd , -/ \ve} + + \tkzTabVal[draw,remember=vb]{1}{2}{0.333}{$b$}{$0$} + \tkzTabVal[draw,remember=vc]{1}{2}{0.666}{$c$}{$1$} + + \tkzTabVar{-/\va ,R/ , +/ \ve} + + \tkzTabVal[draw]{1}{3}{0.5}{}{$0$} + + \draw[opacity=0.4,fill=red!20] (vb) circle(3ex); + \draw[opacity=0.4,fill=blue!20] (vc) circle(3ex); + \end{tikzpicture} +\end{tkzexample} + +\medskip +Il faut remarquer que $b$ et $c$ sont des valeurs intermédiaires car le tableau a été défini avec $a$, $d$ et $e$. +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-variation.tex b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-variation.tex new file mode 100644 index 0000000000..9faa02ec66 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab-variation.tex @@ -0,0 +1,854 @@ +%!TEX root = /Users/ego/Boulot/TKZ/tkz-tab/doc/TKZdoc-tab-main.tex +% 22 / 02 /2009 v1.0c TKZdoc-tab-variation 10h +\section{Création d'une ligne de variations : \addbs{tkzTabVar}} +\subsection{Définition} + +\begin{NewMacroBox}{tkzTabVar}{\oarg{local options}\var{el($1$),\dots,el($n$)}} + avec \tkzname{el($i$) = s($i$) / e($i$)} ou bien \tkzname{el($i$) = s($i$) / eg($i$) / ed($i$)}. + +\noindent\tkzname{s($i$)} est une série de symboles à choisir dans le tableau ci-dessous. \tkzname{eg($i$)} et \tkzname{ed($i$)} sont des expressions mathématiques qui se placent à gauche et à droite des filets verticaux. \tkzname{e($i$)} est une expression centrée sur un filet. + +\medskip + \begin{tabular}{llrl} +\toprule + Groupe 1& \emph{avec un seul signe} &&\\ +\midrule +\tkzname{s($i$)} & Position des expressions & \tkzname{el($i$)} & \\ +\midrule +\IargName{tkzTabVar}{$-~~~$}& expression unique et centrée en bas eg=ed & $- $&$/e $ \\ +\IargName{tkzTabVar}{$+~~~$}& expression unique et centrée en haut eg=ed & $+ $&$/e $ \\ +\IargName{tkzTabVar}{$~R~~$}& rien, on passe à l'expression suivante & $~R $&$(/) $ \\ +\IargName{tkzTabVar}{$-C$} & prolongement par continuité en bas, centrée & $-C $&$/e $ \\ +\IargName{tkzTabVar}{$+C$} & prolongement par continuité en haut, centrée& $+C $&$/e $ \\ +\IargName{tkzTabVar}{$-H$} & expression en bas et centrée puis zone interdite & $-H $&$/e $ \\ +\IargName{tkzTabVar}{$+H$} & expression en haut et centrée puis zone interdite & $+H $&$/e $ \\ +\IargName{tkzTabVar}{$+D~~$}& discontinuité, expression en haut à gauche & $+D $&$/e $ \\ +\IargName{tkzTabVar}{$-D~~$}& discontinuité, expression en bas à gauche & $-D $&$/e $ \\ +\IargName{tkzTabVar}{$~D+~$}& discontinuité, expression en haut et à droite & $D+ $&$/e $ \\ +\IargName{tkzTabVar}{$~D-~$}& discontinuité, expression en bas et droite & $D- $&$/e $ \\ +\IargName{tkzTabVar}{$+DH$} & discontinuité à gauche et en haut puis zone interdite& $+DH $&$/e $ \\ +\IargName{tkzTabVar}{$-DH$} & discontinuité à gauche et en bas puis zone interdite & $-DH $&$/e $ \\ +\IargName{tkzTabVar}{$+CH$} & prolongement par continuité puis zone interdite & $+CH $&$/e $ \\ +\IargName{tkzTabVar}{$-CH$} & idem mais expression en bas et à gauche & $-CH $&$/e $ \\ +\midrule + Groupe 2& \emph{avec deux signes}& &\\ +\midrule +\IargName{tkzTabVar}{$+D-$} & discontinuité,\hfill deux expressions & $+D- $&$/eg/ed$ \\ +\IargName{tkzTabVar}{$-D+$} & discontinuité, \dots \hfill qui sont & $-D+ $&$/eg/ed$ \\ +\IargName{tkzTabVar}{$+D+$} & discontinuité, \dots \hfill soit à gauche ,soit à droite &$+D+ $&$/eg/ed$ \\ +\IargName{tkzTabVar}{$-D-$} & discontinuité, \dots \hfill soit en haut, soit en bas&$-D- $&$/eg/ed$ \\ +\IargName{tkzTabVar}{$+CD+$}& prolongement par continuité à gauche et & $+CD+$&$/eg/ed$ \\ +\IargName{tkzTabVar}{$-CD-$}& \dots \hfill deux expressions qui sont & $-CD-$&$/eg/ed$ \\ +\IargName{tkzTabVar}{$+CD-$}& \dots \hfill soit à gauche ,soit à droite & $+CD-$&$/eg/ed$ \\ +\IargName{tkzTabVar}{$-CD+$}& \dots \hfill soit en haut, soit en bas & $-CD+$&$/eg/ed$ \\ +\IargName{tkzTabVar}{$+DC+$}& prolongement par continuité à droite et & $+DC+$&$/eg/ed$ \\ +\IargName{tkzTabVar}{$-DC-$}& \dots \hfill deux expressions qui sont & $-DC-$&$/eg/ed$ \\ +\IargName{tkzTabVar}{$+DC-$}& \dots \hfill soit à gauche ,soit à droite & $+DC-$&$/eg/ed$ \\ +\IargName{tkzTabVar}{$-DC+$}& \dots \hfill soit en haut, soit en bas & $-DC+$&$/eg/ed$ \\ +\IargName{tkzTabVar}{$+V+$} & comme une discontinuité mais sans double barre et& $+V+ $&$/eg/ed$ \\ +\IargName{tkzTabVar}{$-V-$} & \dots \hfill deux expressions qui sont & $-V- $&$/eg/ed$ \\ +\IargName{tkzTabVar}{$+V-$} & \dots \hfill soit à gauche ,soit à droite & $+V- $&$/eg/ed$ \\ +\IargName{tkzTabVar}{$-V+$} & \dots \hfill soit en haut, soit en bas & $-V+ $&$/eg/ed$ \\ +\midrule +\tkzname{\textvisiblespace} & laisse la place vide dans certains cas& & \\ +\bottomrule +\end{tabular} + +\medskip +\noindent\emph{La macro \tkzcname{tkzTabVar} nécessite un argument qui est une liste. Cette liste contient \tkzname{$n$} éléments correspondant aux \tkzname{$n$} antécédents de la première ligne. Chaque élément donne la position d'une ou de deux expressions par rapport à la ligne avec un signe $+$ (en haut) ou bien un signe $-$ (en bas). Ces expressions sont, soit des images, soit des limites.} + +\noindent\emph{Les éléments \tkzname{el($i$)} ont pour forme~:\\ + soit \mbox{\tkzname{\{ s($i$)/ e($i$)\}}} ou bien \mbox{\tkzname{\{ s($i$)/ e($i$) / \}}}, soit \mbox{\tkzname{\{ s($i$)/ eg($i$) / ed($i$)\}}}.} + +\noindent\emph{La première forme correspond aux symboles qui ne possèdent qu'un signe \tkzname{$+$} ou \tkzname{$-$} et qui placent une seule expression; la seconde correspond aux symboles qui possèdent deux signes et qui placent deux expressions. Les expressions sont des valeurs prises à gauche \tkzname{ eg($i$)\}} ou bien à droite \tkzname{ed($i$)} par la fonction ou encore des limites mais les expressions peuvent être vides. Un signe \tkzname{$+$} ou \tkzname{$-$} à gauche (resp. à droite) des symboles correspond à \tkzname{eg($i$)} (resp. à \tkzname{ed($i$)}).} + +\medskip +\begin{tabular}{lllc} +\toprule +\texttt{options} & \texttt{défaut} & \texttt{définition} \\ +\midrule +\IoptName{tkzTabVar}{color} & |black| & couleur des flèches \\ +\IoptName{tkzTabVar}{help} & affiche la structure d'une ligne de variations \\ + \bottomrule +\end{tabular} + +\end{NewMacroBox} + + \medskip +Un schéma étant parfois plus simple qu'un long discours \dots + + \begin{center} +\begin{tikzpicture} +\tkzTabInit[lgt=2,espcl=3]{$x$/1,$f'(x)$/1,$f(x)$/3}% +{$0$,$1$,$2$,$+\infty$}% +\tkzTabLine{t,-,d,-,z,+,}% +\tkzTabVar{}% +\node[below =3pt] (FN12) at (N12){}; +\node[below =3pt] (FN22) at (N22){}; +\node[below =3pt] (FN32) at (N32){}; +\node[below =3pt] (FN42) at (N42){}; + +\node[above =3pt] (FN13) at (N13){}; +\node[above =3pt] (FN23) at (N23){}; +\node[above =3pt] (FN33) at (N33){}; +\node[above =3pt] (FN43) at (N43){}; + +\node[below right=3pt] (FRN12) at (N12){}; +\node[below right=3pt] (FRN22) at (N22){}; +\node[below right=3pt] (FRN32) at (N32){}; +\node[below right=3pt] (FRN42) at (N42){}; + +\node[above right=3pt] (FRN13) at (N13){}; +\node[above right=3pt] (FRN23) at (N23){}; +\node[above right=3pt] (FRN33) at (N33){}; + +\node[below left=3pt] (FLN22) at (N22){}; +\node[below left=3pt] (FLN32) at (N32){}; +\node[below left=3pt] (FLN42) at (N42){}; + +\node[above left=3pt] (FLN13) at (N13){}; +\node[above left=3pt] (FLN23) at (N23){}; +\node[above left=3pt] (FLN33) at (N33){}; +\node[above left=3pt] (FLN43) at (N43){}; + +\draw[fill=red!50] (FN12) circle(2pt) node[below=2pt,text=red!50] {\small e} node[left=1cm,red] {$+$}; +\draw[fill=red!50] (FN22) circle(2pt); +\draw[fill=red!50] (FN32) circle(2pt); +\draw[fill=red!50] (FN42) circle(2pt); + +\draw[fill=red!50] (FN13) circle(2pt) node[left=1cm,red] {$-$}; +\draw[fill=red!50] (FN23) circle(2pt); +\draw[fill=red!50] (FN33) circle(2pt) node[above=2pt,text=red!50] {\small e}; +\draw[fill=red!50] (FN43) circle(2pt); + +\draw[fill=blue!30] (FRN12) circle(2pt); +\draw[fill=blue!30] (FRN22) circle(2pt) node[below right=2pt,text=blue!30] {\small ed}; +\draw[fill=blue!30] (FRN32) circle(2pt); +\draw[fill=blue!30] (FRN13) circle(2pt); +\draw[fill=blue!30] (FRN23) circle(2pt); +\draw[fill=blue!30] (FRN33) circle(2pt); + +\draw[fill=green!50] (FLN22) circle(2pt); +\draw[fill=green!50] (FLN32) circle(2pt); +\draw[fill=green!50] (FLN42) circle(2pt) node[below left =2pt,text=green!50] {\small eg}; +\draw[fill=green!50] (FLN23) circle(2pt) node[above left =2pt,text=green!50] {\small eg}; +\draw[fill=green!50] (FLN33) circle(2pt); +\draw[fill=green!50] (FLN43) circle(2pt); +\end{tikzpicture} +\end{center} + +\medskip +Pour les besoins de certains tableaux , j'ai employé les macros suivantes~: + +\begin{tkzexample}[code only] + \newcommand*{\va}{\colorbox{red!50} {$\scriptscriptstyle V_a$}} + \newcommand*{\vb}{\colorbox{blue!50} {$\scriptscriptstyle V_b$}} + \newcommand*{\vbo}{\colorbox{blue!50} {$\scriptscriptstyle V_{b1}$}} + \newcommand*{\vbt}{\colorbox{yellow!50}{$\scriptscriptstyle V_{b2}$}} + \newcommand*{\vc}{\colorbox{gray!50} {$\scriptscriptstyle V_c$}} + \newcommand*{\vd}{\colorbox{magenta!50}{$\scriptscriptstyle V_d$}} + \newcommand*{\ve}{\colorbox{orange!50} {$\scriptscriptstyle V_e$}} +\end{tkzexample} + +\medskip + \begin{center} +\begin{tikzpicture} +\tkzTabInit[lgt=2,espcl=3]{$x$/1,$f'(x)$/1,$f(x)$/3}% +{$0$,$1$,$2$,$+\infty$}% + \tkzTabLine{t,-,d,-,z,+,}% + \tkzTabVar{+/\va , -D+/\vb/\vc,-/\vd, +D/\ve}% +\end{tikzpicture} +\end{center} + +\begin{tkzexample}[code only] + \begin{tikzpicture} + \tkzTabInit[lgt=2,espcl=3]{$x$/1,$f'(x)$/1,$f(x)$/3}% + {$0$,$1$,$2$,$+\infty$}% +\tkzTabLine{t,-,d,-,z,+,}% + \tkzTabVar{+/\va , -D+/\vb/\vc,-/\vd, +D/\ve}% +\end{tikzpicture} +\end{tkzexample} + +Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité de la flèche en haut ou en bas de la ligne. Ensuite, en présence d'un seul signe, une seule expression est nécessaire. La position par rapport à la colonne est donnée par la position du signe par rapport aux autres symboles (voir \tkzname{$+D$}). \tkzname{$-D+$} nécessite deux expressions. + +\subsection{Utilisation des symboles} + +\medskip +\bgroup\parindent=0pt +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {+ /\va , -/\vb } +\end{tkzexample} + \begin{tikzpicture} + \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b } + \tkzTabVar% + {+ /\va , -/\vb } + \end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {-/\va , +/\vb} +\end{tkzexample} + \begin{tikzpicture} + \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b } + \tkzTabVar% +{-/\va , +/\vb} + \end{tikzpicture} +\end{minipage} + +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {+/\va , +/\vb} +\end{tkzexample} + \begin{tikzpicture} + \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b } + \tkzTabVar% +{+/\va , +/\vb} + \end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {-/\va , -/\vb} +\end{tkzexample} + \begin{tikzpicture} + \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b } + \tkzTabVar% +{-/\va , -/\vb} + \end{tikzpicture} +\end{minipage} + +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {+/\va , -C / \vb} +\end{tkzexample} + \begin{tikzpicture} + \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b } + \tkzTabVar% +{+/\va , -C / \vb} + \end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tkzexample}[code only] +{-/\va , +C / \vb }\end{tkzexample} + \begin{tikzpicture} + \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b } + \tkzTabVar% +{-/\va , +C / \vb } + \end{tikzpicture} +\end{minipage} + +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {+C / \va , -C / \vb} +\end{tkzexample} +\begin{tikzpicture} + \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b } + \tkzTabVar% + {+C / \va , -C / \vb } +\end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {-C /\va , +C /\vb} +\end{tkzexample} +\begin{tikzpicture} + \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b } + \tkzTabVar% + {-C /\va , +C /\vb} +\end{tikzpicture} +\end{minipage} + +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + { D+ /\va , -/\vb} +\end{tkzexample} + \begin{tikzpicture} + \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b } + \tkzTabVar% + { D+ /\va , -/\vb} + \end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + { D- /\va , +/\vb} +\end{tkzexample} + \begin{tikzpicture} + \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b } + \tkzTabVar + { D- /\va , +/\vb} + \end{tikzpicture} +\end{minipage} + +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {+/\va , -D / \vb} +\end{tkzexample} + \begin{tikzpicture} + \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b } + \tkzTabVar% +{+/\va , -D / \vb} + \end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {-/\va , +D / \vb } +\end{tkzexample} + \begin{tikzpicture} + \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b } + \tkzTabVar% +{-/\va , +D / \vb } + \end{tikzpicture} +\end{minipage} + +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {D+ / \va , -D / \vb } +\end{tkzexample} +\begin{tikzpicture} + \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b } + \tkzTabVar% + {D+ / \va , -D / \vb } +\end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {D- /\va , +D /\vb} +\end{tkzexample} +\begin{tikzpicture} + \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b } + \tkzTabVar% + {D- /\va , +D /\vb} +\end{tikzpicture} +\end{minipage} + +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {+/ \va , -/ \vb , +/ \vc} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c } +\tkzTabVar {+/ \va , -/ \vb ,+/ \vc} +\end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {+/ \va ,-C/ \vb , +/ \vc/ } +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c } +\tkzTabVar {+/ \va ,-C/ \vb , +/ \vc/ } +\end{tikzpicture} +\end{minipage} + +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {- /\va , R , +/\vc} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c } +\tkzTabVar% +{- /\va , R, +/\vc} +\end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {- /\va , R , +/\vc} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2}{ a , b , c } +\tkzTabVar% +{- /\va , R , +/\vc} +\end{tikzpicture} +\end{minipage} + +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {D-/\va , +DH/\vbo/ , } +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c } +\tkzTabVar% +{D-/\va , +DH/\vbo/ , } +\end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {D-/\va , -DH/\va/\vb , D+/} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c } +\tkzTabVar% +{D-/\va , -DH/\vbo , D+/} +\end{tikzpicture} +\end{minipage} + +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {D-/\va , +D-/\vbo/\vbt , +D/\vc} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c } +\tkzTabVar% +{D-/\va , +D-/\vbo/\vbt , +D/\vc} +\end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {D-/\va , +D-/\vbo/\vbt , +D/\vc} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c } +\tkzTabVar% +{D-/\va , -D-/\vbo/\vbt , +D/\vc} +\end{tikzpicture} +\end{minipage} + +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {+/\va , -D- / \vbo/\vbt , +/\vc} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c } +\tkzTabVar {+/ \va , -D- /\vbo/\vbt,+/\vc } +\end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {+ /\va,-DC- /\vbo/\vbt,+ /\vc} +\end{tkzexample} +\begin{tikzpicture}\tikzset{low/.style = {above = 15pt}} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c } +\tkzTabVar {+ /\va ,-DC- /\vbo/\vbt ,+ /\vc} +\end{tikzpicture} +\end{minipage} + +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {D-/\va, +DC-/\vbo/\vbt, +D/\vc} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c } +\tkzTabVar% +{D-/\va , +DC-/\vbo/\vbt ,+D/\vc} +\end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {D+/\va , +DC-/\vbo/\vbt , +D/\vc} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c } +\tkzTabVar% +{D+/\va , +DC-/\vbo/\vbt ,+D/\vc} +\end{tikzpicture} +\end{minipage} + +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {D-/\va , +CD-/\vbo/\vbt , +D/\vc} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c } +\tkzTabVar% +{D-/\va , +CD-/\vbo/\vbt , +D/\vc} +\end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {D-/\va , +CD-/\vbo/\vbt ,+D/\vc} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c } +\tkzTabVar% +{D+/\va , +CD-/\vbo/\vbt , +D/\vc} +\end{tikzpicture} +\end{minipage} + +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {+/\va, -DC+ /\vbo/\vbt, - /\vc} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c } +\tkzTabVar {+ /\va ,-DC+ /\vbo/\vbt , -/\vc} +\end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {D- /\va, -DC- /\vbo/\vbt,+D/\vc} +\end{tkzexample} +\begin{tikzpicture}\tikzset{low/.style = {above = 15pt}} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c } +\tkzTabVar% +{D- /\va , -DC- /\vbo/\vbt , +D/\vc} +\end{tikzpicture} +\end{minipage} + +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {+/\va , -CH /\vbo/\vbt , D+/} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c } +\tkzTabVar% +{+/\va , -CH /\vbo/\vbt , D+/} +\end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {+ /\va , -CH/\vb, //} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c } +\tkzTabVar% +{+ /\va , -CH/\vb, //} +\end{tikzpicture} +\end{minipage} + +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {+/\va , -V- /\vbo /\vbt, +/\vc} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c } +\tkzTabVar {+/\va,-V- /\vbo /\vbt, +/\vc} +\end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {+/ \va ,-V+ / \vbo/ \vbt ,-/ \vc} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c } +\tkzTabVar {+/ \va ,-V+ / \vbo/ \vbt ,-/ \vc} +\end{tikzpicture} +\end{minipage} + +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {+/ \va ,+V- /\vbo/ \vbt , -/\vc} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c } +\tkzTabVar {+/ \va ,+V- / \vbo/ \vbt , -/\vc} +\end{tikzpicture} +\end{minipage} +\hfill +\begin{minipage}{7cm} +\begin{tkzexample}[code only] + {-/ \va, +V+ / \vbo/\vbt, -/\vc} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c } +\tkzTabVar {-/ \va ,+V+ / \vbo / \vbt, -/\vc} +\end{tikzpicture} +\end{minipage} + +\begin{minipage}{16cm} +\begin{tkzexample}[code only] + {-/ \va ,+H/\vb,-/\vc, +/ \vd} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=3]{ /0.5,/2 }{ a , b , c , d } +\tkzTabVar {-/ \va ,+H/\vb,-/\vc, +/ \vd} +\end{tikzpicture} +\end{minipage} + +\begin{minipage}{16cm} +\begin{tkzexample}[code only] + {+/ \va ,-H/\vb,-/\vc, +/ \vd} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=3]{ /0.5,/2 }{ a , b , c , d } +\tkzTabVar {+/ \va ,-H/\vb,-/\vc, +/ \vd} +\end{tikzpicture} +\end{minipage} + +\begin{minipage}{16cm} +\begin{tkzexample}[code only] + {-/ \va , R , R , R , +/ \ve} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=3]{ /0.5,/2 }{ a , b , c , d , e} +\tkzTabVar {-/ \va ,R,R,R, +/ \ve} +\end{tikzpicture} +\end{minipage} + +\begin{minipage}{16cm} +\begin{tkzexample}[code only] + {-/ \va , +/\vb , -DH/\vc , -/\vd , +/ \ve} + \end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=3]{ /0.5,/2 }{ a , b , c , d , e} +\tkzTabVar {-/ \va ,+/\vb ,-DH/\vc,-/\vd, +/ \ve} +\end{tikzpicture} +\end{minipage} + +\begin{minipage}{16cm} +\begin{tkzexample}[code only] + {D-/ \va , +DH/\vb/ , D-/\vc , +/\vd , +D/\ve} +\end{tkzexample} +\begin{tikzpicture} +\tkzTabInit[lgt=1,espcl=3]{ /0.5,/2 }{ a , b , c , d , e} +\tkzTabVar {D-/ \va ,+DH/\vb/,D-/\vc,+/\vd, -D/\ve} +\end{tikzpicture} +\end{minipage} +\egroup + +\medskip +Commentaires +\begin{itemize} + \item on peut employer la syntaxe suivante dans pratiquement tous les cas $s(i)/\ldots/\ldots$ mais alors il faut bien positionner les expressions; + + \item l'argument vide est employé parfois à la fin d'une ligne mais dans ce cas aucune flèche n'est tracée; + + \item $C+$ et $C-$ n'existent pas. $+C$ et $-C$ suffisent car les expressions sont centrées; + \item $D+$ et $D-$ existent . + +\end{itemize} + + +\subsection{Utilisation des options} + +\subsubsection{\texttt{\textcolor{red}{color}} : modification de la couleur des flèches} +Il est possible de personnaliser le tableau à l'aide de styles. +\begin{tkzexample}[vbox, small] +\begin{tikzpicture} + \tkzTabInit[color,espcl=8]% + {$x$ /1,% + Signe\\ de $\dfrac{1}{x}$ /1.5, + Variation\\ de $\ln$ /1.5}% + {$0$,$+\infty$}% + \tkzTabLine{d,+,}% + \tkzTabVar[color=red]% + {D-/ / $-\infty$,+/ $+\infty$ /} +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{\texttt{\textcolor{red}{help}} : affiche la structure du tableau} +\Iopt{tkzTabVar}{help} +Voir le chapitre personnalisation\ref{pers} +\subsection{Utilisation des styles} + +\subsubsection{Modification de la couleur d'une zone interdite} +\Istyle{tkzTabvar}{h style} +Si vous préférez hachurer une zone du tableau, alors il faut modifier un style. + +Par défaut, \tkzname{h style} est défini ainsi: +\begin{tkzexample}[code only] + \tikzset{h style/.style = {fill=gray,opacity=0.4}} +\end{tkzexample} + +Une autre définition peut être : + +\begin{tkzexample}[code only] + \tikzset{h style/.style = {fill=red!50}} +\end{tkzexample} + +\begin{tkzexample}[vbox,width=9cm] +\begin{tikzpicture} + \tikzset{h style/.style = {fill=red!50}} + \tkzTabInit[lgt=1,espcl=2]{$x$ /1, $f$ /2}{$0$,$1$,$2$,$3$}% + \tkzTabVar{+/ $1$ / , -CH/ $-2$ / , +C/ $5$, -/ $0$ / } +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{\texttt{\textcolor{red}{h style}} Zone interdite hachurée} +\Istyle{tkzTabVar}{h style} + +\begin{tkzexample}[code only] + \tikzset{h style/.style = {pattern=north west lines}} +\end{tkzexample} + Ce code permet d'hachurer la zone + +\begin{tkzexample}[vbox,width=9cm,small] +\begin{tikzpicture} + \tikzset{h style/.style = {pattern=north west lines}} + \tkzTabInit[lgt=1,espcl=2]{$x$ /1, $f$ /2}{$0$,$1$,$2$,$3$}% + \tkzTabVar{+/ $1$ / , -CH/ $-2$ / , +C/ $5$, -/ $0$ / } +\end{tikzpicture} +\end{tkzexample} + + +\subsubsection{\texttt{\textcolor{red}{arrow style}} style des flèches.} +\Istyle{tkzTabVar}{arrow} +Le style des flèches est \tkzname{arrow style} et il est défini ainsi : + +\begin{tkzexample}[code only] + \tikzset{arrow style/.style = {\cmdTAB@VA@color, + ->, + > = latex', + shorten > = 2pt, + shorten < = 2pt}} +\end{tkzexample} + + On limite l'approche des nodes par les arrows. Voici une modification possible du style + +\begin{tkzexample}[code only] + \tikzset{arrow style/.style = {blue, + ->, + > = latex', + shorten > = 6pt, + shorten < = 6pt}} +\end{tkzexample} + + La couleur et l'approche des flèches sont modifiées. + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tikzset{arrow style/.style = {blue, + ->, + > = latex', + shorten > = 6pt, + shorten < = 6pt}} + \tkzTabInit[espcl=5]{$x$ /1, $\ln x +1$ /1.5, $x \ln x$ /2}% + {$0$ ,$1/\E$ , $+\infty$}% + \tkzTabLine{d,-,z,+,} + \tkzTabVar% + { D+/ / $0$ ,% + -/ \colorbox{black}{\textcolor{white}{$\dfrac{-1}{e}$}}/ ,% + +/ $+\infty$ / }% +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{\texttt{\textcolor{red}{node style}} Style des nodes} +\Istyle{tkzTabVar}{node style} +Par défaut, Le style des nodes est \tkzname{node style} et il est défini ainsi : +\begin{tkzexample}[code only] +\tikzset{node style/.style = {inner sep = 2pt, + outer sep = 2pt, + fill = \cmdTAB@tbs@colorT}}\end{tkzexample} +Si on veut apporter des modifications mais conserver une partie de ce style, on peut agir ainsi : + +\begin{tkzexample}[code only] + \tikzset{node style/.append style = {draw,circle,fill=red!40,opacity=.4}} +\end{tkzexample} + + Par défaut les nodes sont des rectangles non tracés, ils deviennent des disques + +\begin{tikzpicture} + \tikzset{node style/.append style = {draw,circle,fill=red!40,opacity=.4}} + \tkzTabInit[espcl=5]{$x$ /1, $\ln x +1$ /1.5, $x \ln x$ /2}% + {$0$ ,$1/\E$ , $+\infty$}% + \tkzTabLine{d,-,z,+,} + \tkzTabVar% + { D+/ / $0$ ,% + -/ \colorbox{black}{\textcolor{white}{$\dfrac{-1}{e}$}}/ ,% + +/ $+\infty$ / }% +\end{tikzpicture} + +\begin{tkzexample}[code only,small] +\begin{tikzpicture} + \tikzset{node style/.append style = {draw,circle,fill=red!40,opacity=.4}} + \tkzTabInit[espcl=5]{$x$ /1, $\ln x +1$ /1.5, $x \ln x$ /2}% + {$0$ ,$1/\E$ , $+\infty$}% + \tkzTabLine{d,-,z,+,} + \tkzTabVar% + { D+/ / $0$ ,% + -/ \colorbox{black}{\textcolor{white}{$\dfrac{-1}{e}$}}/ ,% + +/ $+\infty$ / }% +\end{tikzpicture} +\end{tkzexample} + +\subsection{Quelques exemples} +\subsubsection{Fonction inverse} +Étude de la fonction inverse $i~:~ x \longmapsto \frac{1}{x}$ sur $]-\infty~;~0[ \cup ]0~;~+\infty[$ + + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tkzTabInit[lgt=1.5,espcl=6.5]{$x$ /1,$i'(x)$ /1,$i$ /3} + {$-\infty$,$0$,$+\infty$}% + \tkzTabLine{,-,d,-,} + \tkzTabVar{+/ $0$ / ,-D+/ $-\infty$ / $+\infty$ , -/ $0$ /} +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Fonction avec des paliers, emploi du symbole \texttt{\textcolor{red}{R}}} +Il est possible avec R de passer plusieurs valeurs. + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tkzTabInit[espcl=4]{$x$ /1,$f'(x)$ /1,$f(x)$ /2} + {$0$ , $1$ ,$2$, $+\infty$}% + \tkzTabLine {d,+ , z,+ , z,+ , } + \tkzTabVar{D-/ / $-\infty$,R/ /,R/ /,+/ $+\infty$ /}% +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Zone interdite} + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tkzTabInit[lgt=1,espcl=2]{$x$ /1, $f$ /2}{$0$,$1$,$2$,$3$}% + \tkzTabVar{+/ $1$ / ,-DH/ $-\infty$ / ,D+/ / $+\infty$, -/ $2$ / } +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Zone interdite + prolongement par continuité} +\index{zone interdite} +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tkzTabInit[lgt=1,espcl=2]{$x$ /1, $f$ /2}{$0$,$1$,$2$,$3$}% + \tkzTabVar{+/ $1$ / ,-CH/ $-2$ /, D+/ / $+\infty$,-/ $2$ / } +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Zone interdite + double prolongement par continuité} +\index{prolongement par continuité} +\begin{tkzexample}[vbox] +\begin{tikzpicture} + \tkzTabInit[lgt=1,espcl=2]{$x$ /1, $f$ /2}{$0$,$1$,$2$,$3$}% + \tkzTabVar{+/ $1$ / , -CH/ $-2$ / , +C/ $5$, -/ $0$ / } +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Exemple d'une fonction partiellement constante} + +Utilisation de l'option nocadre qui supprime le cadre extérieur, sinon on peut constater que l'on peut mettre pratiquement ce que l'on veut avec la macro \tkzcname{signe}. +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tkzTab[nocadre,lgt=3,espcl=4] + {$x$ /1, + Signe\\ de $f'(x)$ /1.5, + Variations\\ de\\ $f$ /2} + {$-\infty$, $-2$,$\dfrac{1}{\E}$,$\E$}% + {z, <--- 0 --->,d, -, d, \genfrac{}{}{0pt}{0}{\text{signe de}}{ a}, d} + {+/ $\dfrac{2}{3}$, +/ $\dfrac{2}{3}$, + -D-/ $-\infty$ / $-\infty$,+D/ $+\infty$ } +\end{tikzpicture} +\end{tkzexample} + +\subsubsection{Double variations} + +\begin{tkzexample}[vbox,small] +\begin{tikzpicture} + \tkzTabInit[espcl=6] + {$x$ /1, $f''{x}$ /1,$f'(x)$ /2, $f(x)$ /2}% + {$0$ , $1$ , $+\infty$ }% + \tkzTabLine{d,+,z,-, }% + \tkzTabVar {D-/ /$1$,+/ $\E$ /,-/ $0$ /}% + \tkzTabVar {D-/ /$-\infty$ ,R/ $0$ /, +/ $+8$ /} +\end{tikzpicture} +\end{tkzexample} + + + +\endinput
\ No newline at end of file diff --git a/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab.ist b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab.ist new file mode 100644 index 0000000000..935392d700 --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/latex/TKZdoc-tab.ist @@ -0,0 +1,6 @@ +heading_prefix "{\\bfseries\\hfil " +heading_suffix "\\hfil}\\nopagebreak\n" +headings_flag 1 +delim_0 "\\dotfill" +delim_1 "\\dotfill" +delim_2 "\\dotfill" diff --git a/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/tkz-tab-screen.pdf b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/tkz-tab-screen.pdf Binary files differnew file mode 100644 index 0000000000..2814b10b5c --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-tab/doc/tkz-tab-screen.pdf diff --git a/obsolete/macros/latex/contrib/tkz/tkz-tab/latex/tkz-tab.sty b/obsolete/macros/latex/contrib/tkz/tkz-tab/latex/tkz-tab.sty new file mode 100644 index 0000000000..8119748eef --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-tab/latex/tkz-tab.sty @@ -0,0 +1,943 @@ +% Copyright (C) 2009 Alain Matthes +% +% This file may be distributed and/or modified +% +% 1. under the LaTeX Project Public License , either version 1.3 +% of this license or (at your option) any later version and/or +% 2. under the GNU Public License. +% +% See the file doc/generic/pgf/licenses/LICENSE for more details.% +% See http://www.latex-project.org/lppl.txt for details. +% +% +% ``tkz-tab'' package for create tables of signs and variations. +% +% + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % % + % tkz-tab.sty encodage : utf8 % + % % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + % % + % Créé par Alain Matthes le 04-01-2007. % + % CTAN version % + %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%% Objet : Création de tableaux (signes et variations) +%<-----------------------------------------------------------------------------> +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{tkz-tab}[2019/01/19 v1.4e variations (ctan version) ] +%<-----------------------------------------------------------------------------> +\ifx\e@alloc\@undefined + \RequirePackage{etex} +\fi +\RequirePackage{ifthen} +\RequirePackage{xkeyval}[2005/11/25] +\RequirePackage{tikz}[2008/01/15] +\usetikzlibrary{arrows,patterns} + +%<------------------------------ Initialisation -----------------------------> + +%<------------------------------ Styles -----------------------------> +%<------------------------------ Colors -----------------------------> +\def\tkzTabDefaultWritingColor{black} +\def\tkzTabDefaultBackgroundColor{white} +\def\tkzTabDefaultLineWidth{0.4pt} +\def\tkzTabDefaultArrowStyle{latex'} +\def\tkzTabDefaultSep{2pt} +\def\cmdTAB@backgroundcolor{white} +\def\cmdTAB@writecolor{black} +\def\cmdTAB@TTS@doubledistance{1pt} +\def\cmdTAB@TG@hcolor{gray} +\let\cmdTAB@TG@patterncolor\cmdTAB@writecolor +\def\cmdTAB@TG@patternstyle{north west lines} +\let\cmdTAB@TG@color\cmdTAB@writecolor +\let\cmdTAB@tbs@colorT\cmdTAB@backgroundcolor +\let\cmdTAB@VA@color\cmdTAB@writecolor +\let\cmdTAB@arrowcolor\cmdTAB@writecolor +%<--------------------------------------------------------------------------> +\tikzset{node style/.style = {inner sep = \tkzTabDefaultSep, + outer sep = \tkzTabDefaultSep, + fill = \tkzTabDefaultBackgroundColor}} +\tikzset{low left/.style = {above left = \tkzTabDefaultSep}} +\tikzset{low right/.style = {above right = \tkzTabDefaultSep}} +\tikzset{high right/.style = {below right = \tkzTabDefaultSep}} +\tikzset{high left/.style = {below left = \tkzTabDefaultSep}} +\tikzset{low/.style = {above = \tkzTabDefaultSep}} +\tikzset{high/.style = {below = \tkzTabDefaultSep}} +\tikzset{on double/.style = {fill = \tkzTabDefaultBackgroundColor}} +\tikzset{tan style/.style = {> = \tkzTabDefaultArrowStyle, + ->, + color = \tkzTabDefaultWritingColor}} +\tikzset{arrow style/.style = {\tkzTabDefaultWritingColor, + ->, + > = \tkzTabDefaultArrowStyle, + shorten > = \tkzTabDefaultSep, + shorten < = \tkzTabDefaultSep}} +\tikzset{from style/.style = {shorten > = \tkzTabDefaultSep, + shorten < = \tkzTabDefaultSep, + line width = \tkzTabDefaultLineWidth, + > = \tkzTabDefaultArrowStyle, + ->, + draw = \tkzTabDefaultWritingColor, + dotted}} + +\tikzset{t style/.style = {style = dotted, + draw = \tkzTabDefaultWritingColor}} + +\tikzset{h style/.style = {pattern = north west lines, + pattern color = \tkzTabDefaultWritingColor}} + +\tikzset{double style/.append style = {% + draw = \tkzTabDefaultWritingColor, + double = \tkzTabDefaultBackgroundColor}} +%<--------------------- Colorisation du fond ------------------------------> +\tikzset{fondC/.style={fill = \tkzTabDefaultBackgroundColor}} +\tikzset{fondL/.style={fill = \tkzTabDefaultBackgroundColor}} +\tikzset{fondT/.style={fill = \tkzTabDefaultBackgroundColor}} +\tikzset{fondV/.style={fill = \tkzTabDefaultBackgroundColor}} +%<------------------------------ End of Styles ----------------------------> +\newdimen\tkz@XF +\newdimen\tkz@YF +\newcounter{tkz@cnt@line} +\newcounter{tkz@cnt@lg} +\newcounter{tkz@cnt@cl} +\newcounter{tkz@cnt@pred} +\newcounter{tkz@cnt@temp} +\newcounter{tkz@cnt@arrow} +\newcounter{tkz@cnt@zone} +\newcounter{tkz@cnt@lgnext} +\newcounter{tkz@cnt@clnext} +\newcounter{tkz@cnt@pair} +\newcounter{tkz@cnt@impair} +\newcounter{tkz@cnt@aw} +%<---------------------------------------------------------------------------> +\define@cmdkey [TAB] {TTC} {color}{} +\define@cmdkey [TAB] {TTC} {backgroundcolor}{} +\presetkeys [TAB] {TTC} {color = black, + backgroundcolor = white}{} +\newcommand*{\tkzTabColors}[1][]{% +\setkeys[TAB]{TTC}{#1} +\let\tkzTabDefaultWritingColor\cmdTAB@TTC@color +\let\tkzTabDefaultBackgroundColor\cmdTAB@TTC@backgroundcolor +\let\cmdTAB@backgroundcolor\cmdTAB@TTC@backgroundcolor +\let\cmdTAB@writecolor\cmdTAB@TTC@color +\let\cmdTAB@doublecolor\cmdTAB@TTC@backgroundcolor +\let\cmdTAB@patterncolor\cmdTAB@TTC@color +\let\cmdTAB@tcolor\cmdTAB@TTC@color +\tikzset{fondC/.style={fill = \tkzTabDefaultBackgroundColor}} +\tikzset{fondL/.style={fill = \tkzTabDefaultBackgroundColor}} +\tikzset{fondT/.style={fill = \tkzTabDefaultBackgroundColor}} +\tikzset{fondV/.style={fill = \tkzTabDefaultBackgroundColor}} +} +%<---------------------------------------------------------------------------> +%<---------------------------------------------------------------------------> +\define@boolkey [TAB] {TTS} {crosslines}[true]{} +\define@cmdkey [TAB] {TTS} {doubledistance}{} +\define@cmdkey [TAB] {TTS} {lw}{} +\define@cmdkey [TAB] {TTS} {doublecolor}{} +\define@cmdkey [TAB] {TTS} {color}{} +\define@cmdkey [TAB] {TTS} {backgroundcolor}{} +\define@cmdkey [TAB] {TTS} {patterncolor}{} +\define@cmdkey [TAB] {TTS} {patternstyle}{} +\define@cmdkey [TAB] {TTS} {tstyle}{} +\define@cmdkey [TAB] {TTS} {tcolor}{} +\define@cmdkey [TAB] {TTS} {tanstyle}{} +\define@cmdkey [TAB] {TTS} {tanarrowstyle}{} +\define@cmdkey [TAB] {TTS} {tancolor}{} +\define@cmdkey [TAB] {TTS} {tanwidth}{} +\define@cmdkey [TAB] {TTS} {fromstyle}{} +\define@cmdkey [TAB] {TTS} {fromarrowstyle}{} +\define@cmdkey [TAB] {TTS} {fromcolor}{} +\define@cmdkey [TAB] {TTS} {fromwidth}{} +\define@cmdkey [TAB] {TTS} {twidth}{} +\define@cmdkey [TAB] {TTS} {hcolor}{} +\define@cmdkey [TAB] {TTS} {hopacity}{} +\define@cmdkey [TAB] {TTS} {arrowcolor}{} +\define@cmdkey [TAB] {TTS} {arrowstyle}{} +\define@cmdkey [TAB] {TTS} {arrowlinewidth}{} +%<---------------------------------------------------------------------------> +\presetkeys [TAB] {TTS} {doubledistance = 1pt, + doublecolor = \tkzTabDefaultBackgroundColor, + lw = \tkzTabDefaultLineWidth, + color = \tkzTabDefaultWritingColor, + backgroundcolor = \tkzTabDefaultBackgroundColor, + patterncolor = \tkzTabDefaultWritingColor, + patternstyle = north west lines, + tstyle = dotted, + tcolor = \tkzTabDefaultWritingColor, + tanarrowstyle = \tkzTabDefaultArrowStyle, + tanstyle = ->, + tancolor = \tkzTabDefaultWritingColor, + tanwidth = \tkzTabDefaultLineWidth, + fromarrowstyle = \tkzTabDefaultArrowStyle, + fromstyle = ->, + fromcolor = \tkzTabDefaultWritingColor, + fromwidth = \tkzTabDefaultLineWidth, + twidth = \tkzTabDefaultLineWidth, + hcolor = \tkzTabDefaultWritingColor, + hopacity = 0.4, + crosslines = false, + arrowcolor = \tkzTabDefaultWritingColor, + arrowstyle = \tkzTabDefaultArrowStyle, + arrowlinewidth = \tkzTabDefaultLineWidth}{} +%<---------------------------------------------------------------------------> +\newcommand*{\tkzTabSetup}[1][]{% +\setkeys[TAB]{TTS}{#1} +\tikzset{from style/.append style = {line width = \cmdTAB@TTS@fromwidth, + > = \cmdTAB@TTS@fromarrowstyle, + \cmdTAB@TTS@fromstyle, + \cmdTAB@TTS@fromcolor}} + +\tikzset{tan style/.style = {\cmdTAB@TTS@tanstyle, + > = \cmdTAB@TTS@tanarrowstyle, + \cmdTAB@TTS@tancolor}} + +\tikzset{double style/.append style = {% + draw = \cmdTAB@TTS@color, + double = \cmdTAB@TTS@doublecolor, + double distance = \cmdTAB@TTS@doubledistance, + line width = \cmdTAB@TTS@lw}} +\tikzset{t style/.style = {style = \cmdTAB@TTS@tstyle, + draw = \cmdTAB@TTS@tcolor, + line width = \cmdTAB@TTS@twidth}} +\tikzset{arrow style/.append style = {\cmdTAB@TTS@arrowcolor, + > = \cmdTAB@TTS@arrowstyle, + line width = \cmdTAB@TTS@arrowlinewidth}} +\tikzset{node style/.append style = { fill = \cmdTAB@TTS@backgroundcolor}} +\tikzset{fondC/.style={fill = \cmdTAB@TTS@backgroundcolor}} +\tikzset{fondL/.style={fill = \cmdTAB@TTS@backgroundcolor}} +\tikzset{fondT/.style={fill = \cmdTAB@TTS@backgroundcolor}} +\tikzset{fondV/.style={fill = \cmdTAB@TTS@backgroundcolor}} +\ifTAB@TTS@crosslines% + \tikzset{h style/.style = {pattern = north west lines, + pattern color = \cmdTAB@TTS@patterncolor}} +\else + \tikzset{h style/.style = {fill = \cmdTAB@TTS@patterncolor!50, + opacity = \cmdTAB@TTS@hopacity}} +\fi +} +%<--------------------- tracé du cadre extérieur ---------------------------> +\define@boolkey [TAB] {tbs} {help}[true]{} +\define@boolkey [TAB] {tbs} {color}[true]{} +\define@boolkey [TAB] {tbs} {nocadre}[true]{} +\define@cmdkey [TAB] {tbs} {lw}{} +\define@cmdkey [TAB] {tbs} {textw}{} +\define@cmdkey [TAB] {tbs} {colorC}{} +\define@cmdkey [TAB] {tbs} {colorL}{} +\define@cmdkey [TAB] {tbs} {colorT}{} +\define@cmdkey [TAB] {tbs} {colorV}{} +\define@cmdkey [TAB] {tbs} {lgt}{} +\define@cmdkey [TAB] {tbs} {espcl}{} +\define@cmdkey [TAB] {tbs} {deltacl}{} +\presetkeys [TAB] {tbs} {help = false, + espcl = 3, + lgt = 2, + textw = \cmdTAB@tbs@lgt, + lw = \tkzTabDefaultLineWidth, + colorC = \tkzTabDefaultBackgroundColor, + colorL = \tkzTabDefaultBackgroundColor, + colorT = \tkzTabDefaultBackgroundColor, + colorV = \tkzTabDefaultBackgroundColor, + color = false, + nocadre = false, + deltacl = 0.5}{} +%<---------------------------------------------------------------------------> +%<-------------- Macro principale : détermine les dim -----------------------> +%<---------------------------------------------------------------------------> +\newcommand*{\tkzTabInit}[3][]{% + \setkeys[TAB]{tbs}{#1} + \setcounter{tkz@cnt@line}{1} + \setcounter{tkz@cnt@lgnext}{0} + \setcounter{tkz@cnt@clnext}{0} + \setcounter{tkz@cnt@aw}{0} + \setcounter{tkz@cnt@lg}{0} + \setcounter{tkz@cnt@cl}{0} + \setcounter{tkz@cnt@pred}{0} + \setcounter{tkz@cnt@temp}{0} + \setcounter{tkz@cnt@arrow}{0} + \setcounter{tkz@cnt@zone}{0} + \gdef\tkz@deltaY{0} +%<----------------------- Première colonne ----------------------------------> +\foreach \ligne/\ecart in {#2}{% + \stepcounter{tkz@cnt@lg}% +}% +\stepcounter{tkz@cnt@lg}% +\foreach \colonne in {#3}{% + \stepcounter{tkz@cnt@cl}% +}% +\addtocounter{tkz@cnt@cl}{-1}% +\let\tkz@nbinterv\thetkz@cnt@cl +\addtocounter{tkz@cnt@lg}{-1}% +\xdef\maxtkz@cnt@lg{\thetkz@cnt@lg}% +\xdef\tkz@maxcl{\thetkz@cnt@cl}% +\pgfmathparse{\cmdTAB@tbs@lgt+2*\cmdTAB@tbs@deltacl+\cmdTAB@tbs@espcl*\tkz@nbinterv}% +\global\let\tkz@lgttab\pgfmathresult +\global\let\tkz@lgttab\tkz@lgttab +\coordinate(T00) at (0,0); +\coordinate(T10) at (\cmdTAB@tbs@lgt,0); +\coordinate(T20) at (\tkz@lgttab,0); +\setcounter{tkz@cnt@lg}{0}% +\foreach \ligne/\tkz@deltaH in {#2}{% + \setcounter{tkz@cnt@cl}{0}% + \foreach \x in {#3}{% + \pgfmathmultiply{\cmdTAB@tbs@espcl}{\value{tkz@cnt@cl}}% + \global\let\ecartcl\pgfmathresult + \pgfmathparse{\cmdTAB@tbs@lgt+\cmdTAB@tbs@deltacl+\ecartcl}% + \global\let\tkz@ddx\pgfmathresult + \stepcounter{tkz@cnt@cl}% + \coordinate(N\thetkz@cnt@cl 0) at (\tkz@ddx,-\tkz@deltaY);}}% +\foreach \m in {1,...,\tkz@maxcl}{% + \setcounter{tkz@cnt@clnext}{\m}% + \stepcounter{tkz@cnt@clnext}% + \path (N\m 0)--(N\thetkz@cnt@clnext 0) coordinate[midway](M\m 0);}% +\setcounter{tkz@cnt@cl}{0}% +\setcounter{tkz@cnt@lg}{0}% +\foreach \ligne/\tkz@deltaH in {#2}{% + \stepcounter{tkz@cnt@lg}% + \pgfmathadd{\tkz@deltaY}{\tkz@deltaH}% + \global\let\tkz@deltaY\pgfmathresult + \coordinate(T0\thetkz@cnt@lg) at (0,-\tkz@deltaY); + \coordinate(T1\thetkz@cnt@lg) at (\cmdTAB@tbs@lgt,-\tkz@deltaY); + \coordinate(T2\thetkz@cnt@lg) at (\tkz@lgttab,-\tkz@deltaY); + \setcounter{tkz@cnt@cl}{0}% + \foreach \x in {#3}{% + \pgfmathparse{\cmdTAB@tbs@lgt+\cmdTAB@tbs@deltacl+% + \cmdTAB@tbs@espcl*\thetkz@cnt@cl}% + \global\let\tkz@ddx\pgfmathresult + \stepcounter{tkz@cnt@cl}% + \coordinate(N\number\value{tkz@cnt@cl}% + \number\value{tkz@cnt@lg})% + at (\tkz@ddx,-\tkz@deltaY); + }% + \foreach \m in {1,...,\tkz@maxcl}{% + \setcounter{tkz@cnt@clnext}{\m}% + \stepcounter{tkz@cnt@clnext}% + \path (N\m\number\value{tkz@cnt@lg})--% + (N\thetkz@cnt@clnext\number\value{tkz@cnt@lg})% + coordinate[midway](M\m\number\value{tkz@cnt@lg}); + \ifTAB@tbs@help% + \draw[fill=green!30!black] (M\m\number\value{tkz@cnt@lg}) circle(2pt)% + node[below right,green!30!black] {% + \footnotesize M\m\number\value{tkz@cnt@lg}}; + \fi + }% + \pgfmathdivide{\cmdTAB@tbs@lgt}{2}% + \global\let\tkz@tab@dx\pgfmathresult + \pgfmathdivide{\tkz@deltaH}{2}% + \global\let\tkz@halfdeltaH\pgfmathresult + \pgfmathsubtract{\tkz@halfdeltaH}{\tkz@deltaY}% + \global\let\tkz@tab@dy\pgfmathresult + \setcounter{tkz@cnt@temp}{\thetkz@cnt@lg}% + \addtocounter{tkz@cnt@temp}{-1}% + \path (\tkz@tab@dx,\tkz@tab@dy) coordinate(F\thetkz@cnt@temp);}% +% +%<--------------------- Colorisation du fond ------------------------------> +\tikzset{fondC/.style={fill = \cmdTAB@tbs@colorC}} +\tikzset{fondL/.style={fill = \cmdTAB@tbs@colorL}} +\tikzset{fondT/.style={fill = \cmdTAB@tbs@colorT}} +\tikzset{fondV/.style={fill = \cmdTAB@tbs@colorV}} +\ifTAB@tbs@color + \draw[fondC] (T01) rectangle (T1\maxtkz@cnt@lg); + \draw[fondL] (T11) rectangle (T20); + \draw[fondT] (T11) rectangle (T2\maxtkz@cnt@lg); + \draw[fondV] (T00) rectangle (T11); +\fi +%<-------------------Fin Colorisation du fond ------------------------------> +% +%<--------------- Écriture des formules en colonne 1 ---------------------> +\setcounter{tkz@cnt@lg}{-1}% +\pgfmathsubtract{\cmdTAB@tbs@textw}{0.4}% +\xdef\cmdTAB@tbs@textw{\pgfmathresult}% +\foreach \ligne/\tkz@deltaH in {#2}{% +\stepcounter{tkz@cnt@lg}% +\ifTAB@tbs@help% +\node[draw,fill=green!50,inner sep=1pt] at (F\number\value{tkz@cnt@lg}) {\footnotesize F\thetkz@cnt@lg}; +\else +\node[text width = \cmdTAB@tbs@textw cm,text centered,inner sep=0pt] at (F\thetkz@cnt@lg) {\ligne}; +\fi}% +%<--------------- Cadre = true on trace tout sinon condition----------------> +\ifTAB@tbs@nocadre% +\draw[line width = \cmdTAB@tbs@lw] (T10) --(T1\maxtkz@cnt@lg); +\setcounter{tkz@cnt@temp}{\maxtkz@cnt@lg}% +\addtocounter {tkz@cnt@temp}{-1}% +\xdef\maxtkz@cnt@lg{\thetkz@cnt@temp}% +\foreach \y in {1,...,\maxtkz@cnt@lg}{\draw[line width = \cmdTAB@tbs@lw] (T0\y) --(T2\y);}% +\else +\foreach \y in {1,...,\maxtkz@cnt@lg}{\draw[line width = \cmdTAB@tbs@lw] (T0\y) --(T2\y);}% +\draw[line width = \cmdTAB@tbs@lw] (T00) rectangle (T2\maxtkz@cnt@lg); +\draw[line width = \cmdTAB@tbs@lw] (T10) -- (T1\maxtkz@cnt@lg); +\fi +%<------------ Première ligne et Nodes variations --------------------------> +\setcounter{tkz@cnt@cl}{0}% +\pgfextractx{\tkz@XF}{\pgfpointanchor{F0}{center}}% +\pgfextracty{\tkz@YF}{\pgfpointanchor{F0}{center}}% +\foreach \x in {#3}{% +\pgfmathparse{\cmdTAB@tbs@deltacl+\cmdTAB@tbs@lgt/2+% + \cmdTAB@tbs@espcl*\thetkz@cnt@cl}% + \global\let\tkz@tab@dx\pgfmathresult + \stepcounter{tkz@cnt@cl}% + \ifTAB@tbs@help% + \node[draw,fill=blue!50,inner sep=1pt] (L\number\value{tkz@cnt@cl})% + at (\tkz@XF + \tkz@tab@dx cm,\tkz@YF) {\footnotesize L\number\value{tkz@cnt@cl}};% + \else + \node (L\thetkz@cnt@cl) at (\tkz@XF + \tkz@tab@dx cm,\tkz@YF) {\x};% + \fi}% +%<------------------------ help -----------------------------> +\ifTAB@tbs@help% +\foreach \colonne in {0,1,2}{% +\foreach \ligne in {0,...,\maxtkz@cnt@lg}{\draw (T\colonne\ligne)% + node[draw,fill=red!50,inner sep=1pt] {\textbf{\footnotesize T\colonne\ligne}};}}% +\setcounter{tkz@cnt@temp}{\tkz@maxcl} +\stepcounter{tkz@cnt@temp} +\xdef\tkz@maxcl{\thetkz@cnt@temp}% +\foreach \ligne in {0,...,\maxtkz@cnt@lg} +{\foreach \colonne in {1,...,\tkz@maxcl}{% + \draw[fill=red] (N\colonne\ligne) circle(2pt)% + node[above right,red,inner sep=1pt] {\footnotesize N\colonne\ligne};}}% +\fi +}% fin de tkzTabInit +%<---------------------------------------------------------------------------> +%<--------------------- Ligne de Signes -------------------------------------> +%<----------------------- tkzTabLine -----------------------------------> +\newcommand*\stripspaces[1]{% + \strip@spaces{#1}} +\newcommand\strip@spaces{\renewcommand\strip@spaces[1]}% +\expandafter\strip@spaces{% + \@firstofone{\expandafter\strip@lastspace\@firstofone #1\@nil} +\@nil\@@nil} +\@ifdefinable\strip@lastspace{% + \def\strip@lastspace#1 \@nil#2\@@nil{\strip@nil#1\@nil\@@nil}} +\@ifdefinable\strip@nil{% + \def\strip@nil#1\@nil#2\@@nil{#1}} +%<---------------------------------------------------------------------------> +\define@boolkey[TAB]{TL}{help}[true]{} +\presetkeys[TAB]{TL}{help=false}{} +%<---------------------------------------------------------------------------> +\newcommand*{\tkzTabLine}[2][]{% +\setkeys[TAB]{TL}{#1}% + \setcounter{tkz@cnt@lg}{\thetkz@cnt@line}% + \stepcounter{tkz@cnt@line}% + \setcounter{tkz@cnt@lgnext}{\thetkz@cnt@line}% + \setcounter{tkz@cnt@cl}{1}% + \setcounter{tkz@cnt@pair}{1}% + \setcounter{tkz@cnt@impair}{1}% + \ifTAB@TL@help% + \foreach \x in {#2} + {% + \ifthenelse{\isodd{\value{tkz@cnt@cl}}}{% + \path (N\thetkz@cnt@impair\thetkz@cnt@lg) --% + node[draw,inner sep =1pt,midway,fill=yellow] {% + \footnotesize Z\thetkz@cnt@impair\thetkz@cnt@lg}% + (N\thetkz@cnt@impair\thetkz@cnt@lgnext); + \stepcounter{tkz@cnt@impair}}{% + \path (M\thetkz@cnt@pair\thetkz@cnt@lg)--% + node[draw,inner sep =1pt,midway,fill=yellow] {% + \footnotesize S\thetkz@cnt@pair\thetkz@cnt@lg}% + (M\thetkz@cnt@pair\thetkz@cnt@lgnext); + \stepcounter{tkz@cnt@pair}}% + \stepcounter{tkz@cnt@cl}% + }% + \else + \ifTAB@tbs@color% + \draw(T1\thetkz@cnt@lg) rectangle (T2\thetkz@cnt@line);% + \fi + \foreach \x in {#2} + {% + \ifthenelse{\isodd{\value{tkz@cnt@cl}}}{% + \path (N\thetkz@cnt@impair\thetkz@cnt@lg) --% + coordinate[midway](Z\thetkz@cnt@impair\thetkz@cnt@lg)% + (N\thetkz@cnt@impair\thetkz@cnt@lgnext); + \ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{z}}{% + \draw[line width = \cmdTAB@tbs@lw,t style]% + (N\thetkz@cnt@impair\thetkz@cnt@lg) -- % + (N\thetkz@cnt@impair\thetkz@cnt@lgnext); + \node at (Z\thetkz@cnt@impair\thetkz@cnt@lg){$0$}; + }{% + \ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{}}{% + }{% + \ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{t}}{% + \draw[line width = \cmdTAB@tbs@lw,t style] + (N\thetkz@cnt@impair\thetkz@cnt@lg) -- % + (N\thetkz@cnt@impair\thetkz@cnt@lgnext);}{% + \ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{d}}{% + \draw[line width =\cmdTAB@tbs@lw,double style]% + ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@impair\thetkz@cnt@lg)--% + ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@impair\thetkz@cnt@lgnext); + }{% + \path (N\thetkz@cnt@impair\thetkz@cnt@lg)--% + (N\thetkz@cnt@impair\thetkz@cnt@lgnext); + \node at (Z\thetkz@cnt@impair\thetkz@cnt@lg){$\x$}; + }% + }}}\stepcounter{tkz@cnt@impair}% + }{% + \path (M\thetkz@cnt@pair\thetkz@cnt@lg)--% + coordinate[midway](S\thetkz@cnt@pair\thetkz@cnt@lg)% + (M\thetkz@cnt@pair\thetkz@cnt@lgnext);% + \ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{h}}{% + \setcounter{tkz@cnt@clnext}{\thetkz@cnt@pair}% + \stepcounter{tkz@cnt@clnext}% + \pgfmathparse{\cmdTAB@TTS@doubledistance/2+\cmdTAB@tbs@lw} + \global\let\tkz@deltax\pgfmathresult + \fill[h style]([xshift=\tkz@deltax,yshift=-\cmdTAB@tbs@lw/2]% + N\thetkz@cnt@pair\thetkz@cnt@lg) + rectangle% + ([xshift=-\tkz@deltax,yshift=\cmdTAB@tbs@lw/2]% + N\thetkz@cnt@clnext\thetkz@cnt@lgnext); +}{% + \node at (S\thetkz@cnt@pair\thetkz@cnt@lg) {$\x$}; + }% + \stepcounter{tkz@cnt@pair}% + }% + \stepcounter{tkz@cnt@cl}% + }% end foreach + \fi +}% +%<---------------------------------------------------------------------------> +%<---------------------------- Variations -------------------------------> +%<---------------------------------------------------------------------------> +%<----------------------- Macro pour tracer une flèche ----------------------> +%<---------------------------------------------------------------------------> +\newcommand*{\tkzDrawArrow}{% +\ifthenelse{\equal{\thetkz@cnt@zone}{0}}{% + \setcounter{tkz@cnt@pred}{\thetkz@cnt@cl} + \addtocounter{tkz@cnt@pred}{-1} + \ifthenelse{\thetkz@cnt@temp>0}{% + \addtocounter{tkz@cnt@pred}{-\thetkz@cnt@temp}% + \setcounter{tkz@cnt@temp}{0}}{}% + \ifTAB@VA@help% + \draw[fill=orange] (FR\thetkz@cnt@pred\thetkz@cnt@lg) circle(2pt)% + node[right,orange] {\footnotesize FR\thetkz@cnt@pred\thetkz@cnt@lg}; + \draw[fill=orange] (FL\thetkz@cnt@cl\thetkz@cnt@lg)circle(2pt)% + node[left,orange] {\footnotesize FL\thetkz@cnt@cl\thetkz@cnt@lg}; + \else + \draw[arrow style] (FR\thetkz@cnt@pred\thetkz@cnt@lg) to% + (FL\thetkz@cnt@cl\thetkz@cnt@lg);% + \fi + }{% + \setcounter{tkz@cnt@zone}{0}% + }% +}% +%<---------------------------------------------------------------------------> +\define@boolkey[TAB]{VA}{help}[true]{} +\define@cmdkey[TAB]{VA}{color}{} +\presetkeys[TAB]{VA}{color = \tkzTabDefaultWritingColor, + help = false}{} +%<---------------------------------------------------------------------------> +\newcommand*{\tkzTabVar}[2][]{% +\setkeys[TAB]{VA}{#1}% +\setcounter{tkz@cnt@lg}{\thetkz@cnt@line}% +\stepcounter{tkz@cnt@line}% +\setcounter{tkz@cnt@lgnext}{\thetkz@cnt@line}% +\begin{scope} +\tikzset{every node/.style={inner sep =3pt}}% +\setcounter{tkz@cnt@cl}{0}% +\setcounter{tkz@cnt@aw}{0}% +\setcounter{tkz@cnt@temp}{0}% +\setcounter{tkz@cnt@arrow}{0}% +\pgfmathparse{\cmdTAB@TTS@doubledistance/2+\cmdTAB@tbs@lw} +\global\let\tkz@deltax\pgfmathresult + +\ifTAB@tbs@color% + \draw (T1\thetkz@cnt@lg) rectangle (T2\thetkz@cnt@line);% +\fi% +%<----------------- Lecture des données et création des nodes ---------------> +\foreach \x/\tl/\tr in {#2} +{\stepcounter{tkz@cnt@aw}\stepcounter{tkz@cnt@cl}% +%<------------------------------------------------------------------- D- ----> +\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{D-}}% +{\draw[double style]% + ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --% + ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,low right] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tr\fi};% + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +}% +%<------------------------------------------------------------------- D+ ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{D+}}% +{\draw[double style]% + ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --% + ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,high right] (FR\thetkz@cnt@cl\thetkz@cnt@lg)% + at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tr\fi};% + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +} +%<------------------------------------------------------------------- +D ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{+D}}% +{\draw[double style]% + ([yshift=-\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) -- ([yshift=\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,high left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi};% + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +}% +%<------------------------------------------------------------------- +C ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{+C}}% +{\draw[double style]% + ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg)--% + ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);% +\node[node style,high,on double] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi};% +\node[node style,high,on double] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi};% +\ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +} +%<------------------------------------------------------------------ -D -----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{-D}}% +{\draw[double style]% + ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --% + ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,low left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi};% + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +}% +%<------------------------------------------------------------------ -C -----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{-C}}% +{\draw[double style]% + ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --% + ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,low,on double] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi};% + \node[node style,low,on double] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi};% + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +}% +%<------------------------------------------------------------------- + ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{+}}% +{\node[node style,high] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi}; + \node[node style,high] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi}; + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +} +%<---------------------------------------------------------------- +V+ ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{+V+}}% +{\node[node style,high left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi}; + \node[node style,high right] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tr\fi}; + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +}% +%<--------------------------------------------------------------- -V- ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{-V-}}% +{\node[node style,low left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi}; + \node[node style,low right] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tr\fi}; + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +}% +%<-------------------------------------------------------------- -V+ ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{-V+}}% +{\node[node style,low left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi}; + \node[node style,high right] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tr\fi}; + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +} +%<---------------------------------------------------------------- +V- ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{+V-}}% +{\node[node style,high left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi}; + \node[node style,low right] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tr\fi}; + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +} +%<------------------------------------------------------------------- - ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{-}}% +{\node[node style,low] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi}; + \node[node style,low] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi}; + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +}% +%<------------------------------------------------------------------ -D+ ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{-D+}}% +{\draw[line width =\cmdTAB@tbs@lw,double style]% + ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --% + ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,low left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi}; + \node[node style,high right] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tr\fi}; + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +} +%<------------------------------------------------------------------ +D- ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{+D-}}% +{\draw[double style]% + ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --% + ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,high left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi};% + \node[node style,low right] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tr\fi}; + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +} +%<----------------------------------------------------------------- -CD+ ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{-CD+}}% +{\draw[double style]% + ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --% + ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,low,on double] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi}; + \node[node style,high right,on double] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tr\fi}; + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +} +%<----------------------------------------------------------------- -CD- ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{-CD-}}% +{\draw[double style]% + ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --% + ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,low,on double] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi}; + \node[node style,low right,on double] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tr\fi}; + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +} +%<----------------------------------------------------------------- +CD- ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{+CD-}}% +{\draw[double style]% + ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --% + ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,high,on double] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi}; + \node[node style,low right,on double] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tr\fi}; + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +} +%<----------------------------------------------------------------- -DC+ ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{-DC+}}% +{\draw[double style]% + ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) -- % + ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,low left,on double] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi}; + \node[node style,high,on double] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tr\fi}; + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +}% +%<----------------------------------------------------------------- +DC- ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{+DC-}}% +{\draw[double style]% + ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) -- % + ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,high left,on double] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi}; + \node[node style,low,on double] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tr\fi}; + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +}% +%<----------------------------------------------------------------- -DC- ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{-DC-}}% +{\draw[double style]% + ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) -- % + ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,low left,on double] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi}; + \node[node style,low,on double] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tr\fi}; + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +}% +%<----------------------------------------------------------------- +DC+ ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{+DC+}}% +{\draw[double style]% + ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --% + ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,high left,on double] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi}; + \node[node style,high,on double] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tr\fi}; + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +}% +%<------------------------------------------------------------------ +D+ ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{+D+}}% +{\draw[double style]% + ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) -- % + ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,high left,on double] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi}; + \node[node style,high right,on double] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tr\fi}; + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +}% +%<------------------------------------------------------------------ -D- ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{-D-}}% +{\draw[double style]% + ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) -- % + ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,low left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi}; + \node[node style,low right] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tr\fi}; + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}% +}% +%<------------------------------------------------------------------ R ------> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{R}}% +{\stepcounter{tkz@cnt@temp}% +}% +%<------------------------------------------------------------------ +DH ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{+DH}}% +{\draw[double style]% + ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) -- % + ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,high left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi}; + \setcounter{tkz@cnt@clnext}{\thetkz@cnt@cl}\stepcounter{tkz@cnt@clnext} + \fill[h style]% + ([xshift=\tkz@deltax] N\thetkz@cnt@cl\thetkz@cnt@lg)% + rectangle% + (N\thetkz@cnt@clnext\thetkz@cnt@lgnext); +\ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}\stepcounter{tkz@cnt@zone}% +}% +%<------------------------------------------------------------------ -DH ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{-DH}}% +{\draw[double style]% + ([yshift=-\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --% + ([yshift=\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,low left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@cl\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi}; + \setcounter{tkz@cnt@clnext}{\thetkz@cnt@cl}\stepcounter{tkz@cnt@clnext}% + \fill[h style]% + ([xshift=\tkz@deltax] N\thetkz@cnt@cl\thetkz@cnt@lg)% + rectangle% + (N\thetkz@cnt@clnext\thetkz@cnt@lgnext); + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}\stepcounter{tkz@cnt@zone}% +}% +%<------------------------------------------------------------------ +CH ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{+CH}}% +{\setcounter{tkz@cnt@clnext}{\thetkz@cnt@cl}\stepcounter{tkz@cnt@clnext} +\fill[h style]% +(N\thetkz@cnt@cl\thetkz@cnt@lg)% + rectangle% + (N\thetkz@cnt@clnext\thetkz@cnt@lgnext); + \draw[double style]% + ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --% + ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,high,on double] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi}; +\ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}\stepcounter{tkz@cnt@zone}% +}% +%<------------------------------------------------------------------ -CH ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{-CH}}% +{\setcounter{tkz@cnt@clnext}{\thetkz@cnt@cl}\stepcounter{tkz@cnt@clnext}% + \fill[h style]% + ([xshift=\tkz@deltax] N\thetkz@cnt@cl\thetkz@cnt@lg)% + rectangle% + (N\thetkz@cnt@clnext\thetkz@cnt@lgnext); + \draw[double style]% + ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --% + ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,low,on double](FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi}; + \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}\stepcounter{tkz@cnt@zone}% +}% +%<------------------------------------------------------------------ +H ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{+H}}% +{\setcounter{tkz@cnt@clnext}{\thetkz@cnt@cl}\stepcounter{tkz@cnt@clnext} + \fill[h style]% + (N\thetkz@cnt@cl\thetkz@cnt@lg)% + rectangle % + (N\thetkz@cnt@clnext\thetkz@cnt@lgnext); + \draw[]% + (N\thetkz@cnt@cl\thetkz@cnt@lg) -- (N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,high,on double] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi};% +\ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}\stepcounter{tkz@cnt@zone}% +}% +%<------------------------------------------------------------------ -H ----> +{\ifthenelse{\equal{\expandafter\stripspaces\expandafter{\x}}{-H}}% +{\setcounter{tkz@cnt@clnext}{\thetkz@cnt@cl}\stepcounter{tkz@cnt@clnext} + \fill[h style]% + (N\thetkz@cnt@cl\thetkz@cnt@lg)% + rectangle % + (N\thetkz@cnt@clnext\thetkz@cnt@lgnext); + \draw[]% + (N\thetkz@cnt@cl\thetkz@cnt@lg) -- (N\thetkz@cnt@cl\thetkz@cnt@lgnext); + \node[node style,low,on double](FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi}; +\ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}\stepcounter{tkz@cnt@zone}% +}{}% non prévu +}}}}}}}}}}}}}}}}}}}}}}}}}}}}}% +\stepcounter{tkz@cnt@arrow}}% end de la boucle +%<-------------------------------------------------- Tracé des flèches ------> +\end{scope}% +}% fin de la macro variation +%<---------------------------------------------------------------------------> +%<------------------------- Valeur Intermédiaire ----------------------------> +%<---------------------------------------------------------------------------> +\define@boolkey[TAB] {VI} {draw}[true]{} +\define@cmdkey [TAB] {VI} {remember}{} +\presetkeys [TAB] {VI} {draw = false, + remember= lastval}{} +%<---------------------------------------------------------------------------> +\newcommand*{\tkzTabVal}[6][]{% +\setkeys[TAB]{VI}{#1}% +\setcounter{tkz@cnt@lg}{\thetkz@cnt@line}% +\addtocounter{tkz@cnt@lg}{-1}% +\pgfextractx{\tkz@XF}{\pgfpointanchor{L#2}{center}} +\pgfextracty{\tkz@YF}{\pgfpointanchor{L#2}{center}} +\pgfmathparse{\cmdTAB@tbs@espcl * (#4)*(#3-#2)}% +\global\let\tkz@tab@dx\pgfmathresult +\node[inner sep = 0pt,fondL] (ANT) at (\tkz@XF + \tkz@tab@dx cm,\tkz@YF) {#5}; +\path coordinate (ANTa) at ([xshift=\tkz@tab@dx cm]N#21); +\path coordinate (ANTb) at ([xshift=\tkz@tab@dx cm]N#2\thetkz@cnt@line); +\path (intersection cs:% + first line = {(FR#2\thetkz@cnt@lg)--(FL#3\thetkz@cnt@lg)},% + second line = {(ANTa)--(ANTb)}) node[node style,fondT](VAL){#6}; +\path coordinate (\cmdTAB@VI@remember) at (VAL); +\ifTAB@VI@draw% + \draw[from style] (ANTa.center) to (VAL); +\fi +}% +%<---------------------------------------------------------------------------> +%<---------------------------------------------------------------------------> +\define@boolkey[TAB] {IM} {draw}[true]{} +\define@cmdkey [TAB] {IM} {remember}{} +\presetkeys [TAB] {IM} {draw = false, + remember= lastval}{} +\newcommand*{\tkzTabIma}[5][]{% +\setkeys[TAB]{IM}{#1}% +\setcounter{tkz@cnt@lg}{\thetkz@cnt@line}% +\addtocounter{tkz@cnt@lg}{-1}% +\setcounter{tkz@cnt@lgnext}{\thetkz@cnt@line}% +\path (intersection cs: + first line = {(FR#2\thetkz@cnt@lg)--(FL#3\thetkz@cnt@lg)},% + second line = {(N#4\thetkz@cnt@lg) --(N#4\thetkz@cnt@lgnext)}) node[node style,fondT](IMA){#5}; + \path coordinate (\cmdTAB@IM@remember) at (IMA); +\ifTAB@IM@draw% + \draw[from style] (N#41) to (IMA); +\fi +}% +%<---------------------------------------------------------------------------> +%<---------------------------------------------------------------------------> +\newcommand*{\tkzTabImaFrom}[5][]{% +\setkeys[TAB]{IM}{#1}% +\setcounter{tkz@cnt@lg}{\thetkz@cnt@line}% +\addtocounter{tkz@cnt@lg}{-1}% +\path (intersection cs:% + first line = {(FR#2\thetkz@cnt@lg)--(FL#3\thetkz@cnt@lg)},% + second line={(#4)--([yshift=-0.5 cm]#4)}) node[node style,fondT](IMA){#5}; + \path coordinate (\cmdTAB@IM@remember) at (IMA); +\ifTAB@IM@draw + \draw[from style] (#4) to (IMA); +\fi +}% +%<---------------------------------------------------------------------------> +%<---------------------------------------------------------------------------> +%<---------------------- tangente horizontale -----------------------------> +% args 1--> options ; +% 2--> tkz@cnt@cl debut fl ; +% 3--> tkz@cnt@clnext fin de fl ;% +% 4---> n°de val ; +% 5----> image +\define@cmdkey [TAB] {TA} {pos}[below]{} +\define@cmdkey [TAB] {TA} {color}{} +\define@boolkey[TAB] {TA} {draw}[true]{} +\define@cmdkey [TAB] {TA} {remember}{} +\presetkeys [TAB] {TA} {draw = false, + color = \tkzTabDefaultWritingColor, + pos = above, + remember = lastval}{} +%<---------------------------------------------------------------------------> +\newcommand*{\tkzTabTan}[5][]{% +\setkeys[TAB]{TA}{#1}% +\setcounter{tkz@cnt@lg}{\thetkz@cnt@line}% +\addtocounter{tkz@cnt@lg}{-1}% +\setcounter{tkz@cnt@lgnext}{\thetkz@cnt@line}% +\path (intersection cs: + first line = {(FR#2\thetkz@cnt@lg)--(FL#3\thetkz@cnt@lg)},% + second line = {(N#4\thetkz@cnt@lg) --(N#4\thetkz@cnt@lgnext)}) coordinate(tgt); +\draw[fill,color=\cmdTAB@TA@color] (tgt) circle (1pt); +\node[\cmdTAB@TA@pos =1pt] at (tgt) {#5}; +\path coordinate (\cmdTAB@TA@remember) at (tgt); +\draw[tan style] (tgt) -- ++(.75,0); +\draw[tan style] (tgt) -- ++(-.75,0); +\ifTAB@TA@draw \draw[from style] (N#41) to (tgt); \fi +}% +%<---------------------------------------------------------------------------> +%<---------------------------------------------------------------------------> +\newcommand*{\tkzTabTanFrom}[5][]{% +\setkeys[TAB]{TA}{#1}% + \setcounter{tkz@cnt@lg}{\thetkz@cnt@line}% + \addtocounter{tkz@cnt@lg}{-1}% + \setcounter{tkz@cnt@lgnext}{\thetkz@cnt@line}% + \path (intersection cs: + first line = {(FR#2\thetkz@cnt@lg)--(FR#3\thetkz@cnt@lg)},% + second line = {(#4) --([yshift=-0.5 cm]#4)}) coordinate(tgt); + \draw[fill,color=\cmdTAB@TA@color] (tgt) circle (1pt); + \node[\cmdTAB@TA@pos = 1pt] at (tgt) {#5}; + \path coordinate (\cmdTAB@TA@remember) at (tgt); + \draw[arrow style] (tgt) -- ++(.75,0); + \draw[arrow style] (tgt) -- ++(-.75,0); + \ifTAB@TA@draw \draw[from style] (#4) -- (tgt); \fi +}% +%<---------------------------------------------------------------------------> +%<---------------------- dérivée droite gauche ------------------------------> +\newcommand*{\tkzTabSlope}[1]{% +\foreach \x/\y/\z in {#1}{% + \node[left = 3pt] at (Z\x 1) {\scriptsize $\y$}; + \node[right = 3pt] at (Z\x 1) {\scriptsize $\z$}; + }% +} +%<---------------------------------------------------------------------------> +%<---------------------------------------------------------------------------> +\newcommand*{\tkzTab}[5][]{% + \tkzTabInit[#1]{#2}{#3}% + \tkzTabLine{#4}% + \tkzTabVar{#5}% +} +%<-------------------------------The End ------------------------------------> +\endinput + diff --git a/obsolete/macros/latex/contrib/tkz/tkz-tab/readme-us.txt b/obsolete/macros/latex/contrib/tkz/tkz-tab/readme-us.txt new file mode 100644 index 0000000000..43f477355f --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-tab/readme-us.txt @@ -0,0 +1,73 @@ +% utf8 +% version 1.4e 19/01/2019 + +A. Purpose + +The 'tkz-tab' package is built on top of PGF and its associated front-end, + TikZ and is a (La)TeX-friendly drawing package. The aim is to provide some + useful macros to build tables showing variations of functions as they are + used in France. +These macros may be used by only LaTeX TeX users. The documentation is in + French. + +B. Features + -- works with utf8 and pdflatex + -- provides 'help' option, + -- allows to draw tables of variations with a "forbidden zone", + -- allows to use TikZ. + +C. Licence + +You may freely use and distribute this package under the terms of lppl and/or gpl. + +Read file TKZdoc-tab.pdf.pdf in the doc directory, for the complete + documentation + +D. Contents of the folder (encoding utf8) + + -- README (this file) + -- inputs: tkz-tab.sty + -- doc: TKZdoc-tab.pdf, + tkz-doc.cls, + tkzexample.sty, + doctab.ist, + TKZdoc-tab-adapt.tex + TKZdoc-tab-examples.tex, + TKZdoc-tab-images.tex, + TKZdoc-tab-init.tex, + TKZdoc-tab-install.tex, + TKZdoc-tab-main.tex + TKZdoc-tab-sign.tex, + TKZdoc-tab-slope.tex, + TKZdoc-tab-tangente.tex, + TKZdoc-tab-tv.tex, + TKZdoc-tab-valeurs.tex, + TKZdoc-tab-variation.tex + var-latin1.tex ( example with latin1) + var-latin1.pdf + sign-latin1.tex( example with latin1) + sign-latin1.pdf + +tkz-doc.cls is a class (beta version) to make the documentation. You need also + the tkzexample.sty package (beta version) and KOMA-Script 2009/01/24 v3.02b to compile the documentation. + +E. Installation + +If you need to install it by yourself, a TDS compliant zip archive is +provided (tkz-tab.zip). Just download that file, and unpack it in +your TDS directory (~/texmf for Unix-like systems). If you only need to use + 'tkz-tab.sty' then you have to copy 'tkz-tab.sty' into '~/texmf/tex/latex'. + If you want also to compile the documentation then you need to copy tkz-doc.cls and tkzexample.sty in the same folder and you need to use pdf(e)tex. + +With MiKTeX, copy folder 'tkz-tab.sty' into 'C:\texmf\tex\latex', then +run 'MiKTeX Options'. In the 'File name database' section, click on +'Refresh now'. + +F. The author of the 'tkz-tab.sty' package is Alain Matthes. +-- + Alain Matthes + 5 rue de Valence + Paris 75005 + + al (dot) ma (at) mac (dot) com + |
