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authorKarl Berry <karl@freefriends.org>2008-02-21 18:12:00 +0000
committerKarl Berry <karl@freefriends.org>2008-02-21 18:12:00 +0000
commita691030f2a8c6493f60ec90ef9fcc2751ed85ee6 (patch)
treef151405c4f5173f48f713fb9e18904e14d17dc7b /Master/texmf-dist/doc/latex/tablor/tablor.html
parentf1deab4464e3af2576a3d41b7b0944324c15fc14 (diff)
tablor update (19feb08)
git-svn-id: svn://tug.org/texlive/trunk@6704 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc/latex/tablor/tablor.html')
-rw-r--r--Master/texmf-dist/doc/latex/tablor/tablor.html1166
1 files changed, 767 insertions, 399 deletions
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.html b/Master/texmf-dist/doc/latex/tablor/tablor.html
index 340911ae97f..928dc35faa2 100644
--- a/Master/texmf-dist/doc/latex/tablor/tablor.html
+++ b/Master/texmf-dist/doc/latex/tablor/tablor.html
@@ -1,5 +1,5 @@
<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01//EN">
-<!-- Created by htmlize-1.34 in css mode. -->
+<!-- Created by htmlize-1.27 in css mode. -->
<html>
<head>
<title>tablor.sty</title>
@@ -8,17 +8,16 @@
body {
color: #f5deb3;
background-color: #000000;
- font-weight: bold;
}
.comment {
/* font-lock-comment-face */
color: #ffd700;
background-color: #525252;
}
- .comment-delimiter {
- /* font-lock-comment-delimiter-face */
- color: #ffd700;
- background-color: #525252;
+ .constant {
+ /* font-lock-constant-face */
+ color: #9932cc;
+ font-weight: bold;
}
.flyspell-duplicate {
/* flyspell-duplicate-face */
@@ -35,7 +34,6 @@
.font-latex-bold {
/* font-latex-bold-face */
color: #6b8e23;
- font-weight: bold;
}
.font-latex-math {
/* font-latex-math-face */
@@ -46,13 +44,10 @@
color: #d3d3d3;
}
.font-latex-subscript {
- /* font-latex-subscript-face */
- font-size: 80%;
}
.font-latex-warning {
/* font-latex-warning-face */
color: #ff0000;
- font-weight: bold;
}
.function-name {
/* font-lock-function-name-face */
@@ -84,78 +79,217 @@
<pre>
<span class="font-latex-sedate">\NeedsTeXFormat</span>{LaTeX2e}[1995/12/01]
-<span class="font-latex-sedate">\ProvidesPackage</span>{tablor}
- [02/02/2008 v1.5
- la machine &#224; cr&#233;er des tableaux de signes et variations]
-
-
-
-<span class="comment-delimiter">%% </span><span class="comment">Cr&#233;e 10 environnements :
-</span><span class="comment-delimiter">%% </span><span class="comment">tableau de signes de 2 facteurs affines
-</span><span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TSa}
-</span><span class="comment-delimiter">% </span><span class="comment">TSa(-2,3,-1,5,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">);
-</span><span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\end</span></span><span class="comment">{TSa}
-</span><span class="comment-delimiter">% </span><span class="comment">%%%%%% Pour des tableaux de plus de 2 facteurs
-</span><span class="comment-delimiter">%</span><span class="comment">
-</span><span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TS}
-</span><span class="comment-delimiter">% </span><span class="comment">TS([-2*x+3,x^2-1,x^2+1,x-1,x^2-2],[a,b],</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">);
-</span><span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\end</span></span><span class="comment">{TS}
-</span><span class="comment-delimiter">%</span><span class="comment">
-</span><span class="comment-delimiter">% </span><span class="comment">pour les tableaux de signes avec quotient
-</span><span class="comment-delimiter">%</span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TSq}
-</span><span class="comment-delimiter">%</span><span class="comment">TSq("Q",[-2*x+3,-4*x+5],[x^2-16,x-2],[a,b],</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">)
-</span><span class="comment-delimiter">%%</span><span class="font-latex-sedate"><span class="comment">\end</span></span><span class="comment">{TSq}
-</span><span class="comment-delimiter">% </span><span class="comment">un tableau de variation :
-</span><span class="comment-delimiter">%</span><span class="comment">
-</span><span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TV}
-</span><span class="comment-delimiter">% </span><span class="comment">TV([0,+infinity],[0],"h","x",ln(x)-(ln(x))^2,1,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">)
-</span><span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\end</span></span><span class="comment">{TV}
-</span><span class="comment-delimiter">%</span><span class="comment">
-</span><span class="comment-delimiter">% </span><span class="comment">tableau avec valeurs </span><span class="comment"><span class="flyspell-incorrect">interm&#233;diares</span></span><span class="comment">
-</span><span class="comment-delimiter">%</span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TVI}
-</span><span class="comment-delimiter">%</span><span class="comment">TVI([-1,+infinity],[-1],"f","x",x2/sqrt(x+1)-1,1,2,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">)
-</span><span class="comment-delimiter">%</span><span class="font-latex-sedate"><span class="comment">\end</span></span><span class="comment">{TVI}
-</span><span class="comment-delimiter">%%%</span><span class="comment">
-</span><span class="comment-delimiter">%</span><span class="comment">
-</span><span class="comment-delimiter">% </span><span class="comment">et leurs pendants &#233;toil&#233;s qui permet l'affichage interm&#233;diaire du
-</span><span class="comment-delimiter">% </span><span class="comment">fichier metapost pour le modifier
-</span><span class="comment-delimiter">%</span><span class="comment">
-</span><span class="comment-delimiter">%</span><span class="comment">
-</span><span class="comment-delimiter">%</span><span class="comment">
-</span><span class="comment-delimiter">%</span><span class="comment">
+<span class="font-latex-sedate">\ProvidesPackage</span>{tablor}[19/02/2008 v1.7 la machine &#224; cr&#233;er des tableaux de signes et variations]
+
+<span class="comment">% </span><span class="font-latex-sedate"><span class="comment">\copyleft</span></span><span class="comment"> Connan le Barbare </span><span class="font-latex-sedate"><span class="comment">\copyright</span></span><span class="comment">
+% avec l'efficace participation de Jean-Michel </span><span class="comment"><span class="flyspell-incorrect">Boucart</span></span><span class="comment">
+</span>
+
+<span class="comment">%% Cr&#233;e 10 environnements :
+%% tableau de signes de 2 facteurs affines
+% </span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TSa}
+% TSa(-2,3,-1,5,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">);
+% </span><span class="font-latex-sedate"><span class="comment">\end</span></span><span class="comment">{TSa}
+% %%%%%% Pour des tableaux de plus de 2 facteurs
+%
+% </span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TS}
+% TS([-2*x+3,x^</span><span class="comment">2</span><span class="comment">-1,x^</span><span class="comment">2</span><span class="comment">+1,x-1,x^</span><span class="comment">2</span><span class="comment">-2],[a,b],</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">);
+% </span><span class="font-latex-sedate"><span class="comment">\end</span></span><span class="comment">{TS}
+%
+% pour les tableaux de signes avec quotient
+%</span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TSq}
+%TSq("Q",[-2*x+3,-4*x+5],[x^</span><span class="comment">2</span><span class="comment">-16,x-2],[a,b],</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">)
+%%</span><span class="font-latex-sedate"><span class="comment">\end</span></span><span class="comment">{TSq}
+% un tableau de variation :
+%
+% </span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TV}
+% TV([0,+infinity],[0],"h","x",ln(x)-(ln(x))^</span><span class="comment">2</span><span class="comment">,1,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">)
+% </span><span class="font-latex-sedate"><span class="comment">\end</span></span><span class="comment">{TV}
+%
+% tableau avec valeurs </span><span class="comment"><span class="flyspell-incorrect">interm&#233;diares</span></span><span class="comment">
+%</span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TVI}
+%TVI([-1,+infinity],[-1],"f","x",x2/sqrt(x+1)-1,1,2,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">)
+%</span><span class="font-latex-sedate"><span class="comment">\end</span></span><span class="comment">{TVI}
+%%%
+%
+% et leurs pendants &#233;toil&#233;s qui permet l'affichage interm&#233;diaire du
+% fichier metapost pour le modifier
+%
+%
+%
+%
+</span>
+
+
+
+<span class="comment">%% extensions requises
+%% Il faudra rajouter dans le pr&#233;ambule </span><span class="font-latex-sedate"><span class="comment">\usepackage</span></span><span class="comment">{graphicx} si vous
+%% ne l'avez pas de base
+</span>
+
+<span class="font-latex-sedate">\RequirePackage</span>{ifthen}
+<span class="font-latex-sedate">\RequirePackage</span>{fancyvrb}
+<span class="font-latex-sedate">\RequirePackage</span>{<span class="flyspell-duplicate">ifpdf</span>}
+
+<span class="comment">%% liste des options : os et &#233;diteur rapide
</span>
+<span class="font-latex-sedate">\newboolean</span>{xcas}<span class="font-latex-sedate">\setboolean</span>{xcas}{false}
+<span class="font-latex-sedate">\newboolean</span>{linux}<span class="font-latex-sedate">\setboolean</span>{linux}{false}
+<span class="font-latex-sedate">\newboolean</span>{windows}<span class="font-latex-sedate">\setboolean</span>{windows}{<span class="flyspell-duplicate">false</span>}
+<span class="font-latex-sedate">\newboolean</span>{macosx}<span class="font-latex-sedate">\setboolean</span>{macosx}{<span class="flyspell-duplicate">false</span>}
+<span class="font-latex-sedate">\newboolean</span>{emacs}<span class="font-latex-sedate">\setboolean</span>{emacs}{false}
+<span class="font-latex-sedate">\newboolean</span>{xemacs}<span class="font-latex-sedate">\setboolean</span>{xemacs}{false}
+<span class="font-latex-sedate">\newboolean</span>{texmaker}<span class="font-latex-sedate">\setboolean</span>{texmaker}{<span class="flyspell-duplicate">false</span>}
+<span class="font-latex-sedate">\newboolean</span>{vi}<span class="font-latex-sedate">\setboolean</span>{vi}{false}
+<span class="font-latex-sedate">\newboolean</span>{winshell}<span class="font-latex-sedate">\setboolean</span>{winshell}{<span class="flyspell-duplicate">false</span>}
+<span class="font-latex-sedate">\newboolean</span>{notepad}<span class="font-latex-sedate">\setboolean</span>{notepad}{<span class="flyspell-duplicate">false</span>}
+<span class="font-latex-sedate">\newboolean</span>{vim}<span class="font-latex-sedate">\setboolean</span>{vim}{false}
+<span class="font-latex-sedate">\newboolean</span>{kate}<span class="font-latex-sedate">\setboolean</span>{kate}{<span class="flyspell-duplicate">false</span>}
+<span class="font-latex-sedate">\newboolean</span>{gedit}<span class="font-latex-sedate">\setboolean</span>{gedit}{<span class="flyspell-duplicate">false</span>}
+<span class="font-latex-sedate">\newboolean</span>{<span class="flyspell-duplicate">textmate</span>}<span class="font-latex-sedate">\setboolean</span>{<span class="flyspell-duplicate">textmate</span>}{<span class="flyspell-duplicate">false</span>}
+<span class="font-latex-sedate">\newboolean</span>{<span class="flyspell-duplicate">texshop</span>}<span class="font-latex-sedate">\setboolean</span>{<span class="flyspell-duplicate">texshop</span>}{<span class="flyspell-duplicate">false</span>}
+
+<span class="font-latex-sedate">\DeclareOption</span>{xcas}{<span class="font-latex-sedate">\setboolean</span>{xcas}{<span class="flyspell-duplicate">true</span>}}
+<span class="font-latex-sedate">\DeclareOption</span>{linux}{<span class="font-latex-sedate">\setboolean</span>{linux}{<span class="flyspell-duplicate">true</span>}}
+<span class="font-latex-sedate">\DeclareOption</span>{windows}{<span class="font-latex-sedate">\setboolean</span>{windows}{true}}
+<span class="font-latex-sedate">\DeclareOption</span>{mac}{<span class="font-latex-sedate">\setboolean</span>{macosx}{true}}
+<span class="font-latex-sedate">\DeclareOption</span>{emacs}{<span class="font-latex-sedate">\setboolean</span>{emacs}{<span class="flyspell-duplicate">true</span>}}
+<span class="font-latex-sedate">\DeclareOption</span>{xemacs}{<span class="font-latex-sedate">\setboolean</span>{xemacs}{true}}
+<span class="font-latex-sedate">\DeclareOption</span>{<span class="flyspell-duplicate">texmaker</span>}{<span class="font-latex-sedate">\setboolean</span>{texmaker}{<span class="flyspell-duplicate">true</span>}}
+<span class="font-latex-sedate">\DeclareOption</span>{vi}{<span class="font-latex-sedate">\setboolean</span>{vi}{<span class="flyspell-duplicate">true</span>}}
+<span class="font-latex-sedate">\DeclareOption</span>{winshell}{<span class="font-latex-sedate">\setboolean</span>{winshell}{true}}
+<span class="font-latex-sedate">\DeclareOption</span>{notepad}{<span class="font-latex-sedate">\setboolean</span>{notepad}{true}}
+<span class="font-latex-sedate">\DeclareOption</span>{vim}{<span class="font-latex-sedate">\setboolean</span>{vim}{<span class="flyspell-duplicate">true</span>}}
+<span class="font-latex-sedate">\DeclareOption</span>{<span class="flyspell-duplicate">kate</span>}{<span class="font-latex-sedate">\setboolean</span>{<span class="flyspell-duplicate">kate</span>}{<span class="flyspell-duplicate">true</span>}}
+<span class="font-latex-sedate">\DeclareOption</span>{gedit}{<span class="font-latex-sedate">\setboolean</span>{gedit}{<span class="flyspell-duplicate">true</span>}}
+<span class="font-latex-sedate">\DeclareOption</span>{<span class="flyspell-duplicate">textmate</span>}{<span class="font-latex-sedate">\setboolean</span>{<span class="flyspell-incorrect">textmate</span>}{<span class="flyspell-duplicate">true</span>}}
+<span class="font-latex-sedate">\DeclareOption</span>{<span class="flyspell-duplicate">texshop</span>}{<span class="font-latex-sedate">\setboolean</span>{<span class="flyspell-incorrect">texshop</span>}{<span class="flyspell-duplicate">true</span>}}
+
+
+<span class="comment">%% on peut configurer tablor dans un fichier ext&#233;rieur
+</span>
+<span class="font-latex-sedate">\IfFileExists</span>{tablor.cfg}{<span class="font-latex-sedate"><span class="keyword">\input</span></span><span class="constant">{tablor.cfg}</span>}{<span class="font-latex-sedate">\typeout</span>{pas de fichier tablor.<span class="flyspell-duplicate">cfg</span>}}
+<span class="font-latex-sedate">\ProcessOptions</span>\relax
-<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\nettoyer</span></span><span class="function-name">}</span>{
-<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{rm XCasmp.mp* XCasmp.log XCasmp?.mp* XCasmp?.log XCasmpTV.mp* XCasmpTV.log *.user XCasmpTVI.mp* XCasmpTVI.log
- *.giac *.cxx *<span class="flyspell-incorrect">mpx</span>* *~}}
+<span class="comment">%% pour ceux compilant via </span><span class="comment"><span class="flyspell-incorrect">pdflatex</span></span><span class="comment">
+</span>
+<span class="font-latex-sedate">\ifpdf</span>
+<span class="font-latex-sedate">\DeclareGraphicsRule</span>{*}{<span class="flyspell-incorrect">mps</span>}{*}{}
+<span class="font-latex-sedate">\fi</span>
-<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\bouger</span></span><span class="function-name">}</span>[1]{
-<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{cp XCas* #1}}
+<span class="comment">%% pour nettoyer les fichiers auxiliaires
+</span>
+<span class="font-latex-sedate">\AtEndDocument</span>{<span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{<span class="flyspell-duplicate">windows</span>}}<span class="comment">%
+</span>{<span class="font-latex-sedate">\immediate</span>\write18{DEL tete.* *.user XCas*.* Xcas*.* *.<span class="flyspell-duplicate">mpx</span>} } <span class="comment">%
+</span>{<span class="font-latex-sedate">\immediate</span>\write18{rm tete.* *.user XCas* Xcas* *.<span class="flyspell-duplicate">mpx</span>} }}
-<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\recup</span></span><span class="function-name">}</span>[2]{
-<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="flyspell-duplicate">cp</span> #1 #2}}
+<span class="comment">%% En-t&#234;te pour le fichier metapost contenant les codes
+%% de tous les tableaux produits
+</span>
+ <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{tete.mp}
+ input tableauVariation;
+ <span class="flyspell-duplicate">verbatimtex</span>
+<span class="comment">%&amp;latex
+</span> <span class="font-latex-sedate"><span class="keyword">\documentclass</span></span><span class="function-name">{article}</span>
+ <span class="font-latex-sedate"><span class="keyword">\usepackage</span></span><span class="variable-name">[upright]</span><span class="function-name">{fourier}</span>
+ <span class="font-latex-sedate"><span class="keyword">\usepackage</span></span><span class="function-name">{amsmath}</span>
+ <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\Mathbold</span></span><span class="function-name">}</span>[1]{<span class="font-latex-sedate"><span class="keyword">\mbox</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\boldmath</span></span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="font-latex-sedate"><span class="function-name">\unboldmath</span></span><span class="function-name">}</span>}
+ <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{document}</span>
+ <span class="flyspell-duplicate">etex</span>
+
+ <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
+
+<span class="comment">%% Nettoie les fichiers log dont le nom d&#233;pend du choix de l'utilisateur
+%% Par d&#233;faut, c'est le nom du fichier tex courant (</span><span class="font-latex-sedate"><span class="comment">\jobname</span></span><span class="comment">)
+%% Cl&#244;t le fichier metapost contenant le r&#233;capitulatif de tous les tableaux
+</span>
+<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\nettoyer</span></span><span class="function-name">}</span>[1][<span class="font-latex-sedate">\jobname</span>]<span class="comment">%
+</span>{<span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{windows}}<span class="comment">%
+</span>{<span class="font-latex-sedate">\immediate</span>\write18{DEL #1.Tab.<span class="flyspell-duplicate">log</span>}
+<span class="font-latex-sedate">\immediate</span>\write18{echo end &gt;&gt; #1.Tab.<span class="flyspell-duplicate">mp</span>}}<span class="comment">%
+</span>{<span class="font-latex-sedate">\immediate</span>\write18{rm #1.Tab.<span class="flyspell-duplicate">log</span>}
+<span class="font-latex-sedate">\immediate</span>\write18{echo end &gt;&gt; #1.Tab.<span class="flyspell-duplicate">mp</span>}
+}
+}
-<span class="font-latex-sedate"><span class="keyword">\newcounter</span></span><span class="function-name">{TVn}</span>
+<span class="comment">%% Donne comme prefixe aux tableaux le prefixe courant
+%% Peut-&#234;tre modifi&#233; par </span><span class="font-latex-sedate"><span class="comment">\initablor</span></span><span class="comment">
+</span>
+<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\Tableaux</span></span><span class="function-name">}</span>{<span class="font-latex-sedate">\jobname</span>}
+<span class="comment">%% initialise les compteurs
+</span>
+<span class="font-latex-sedate"><span class="keyword">\newcounter</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TVn</span></span><span class="function-name">}</span>
<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\tv</span></span><span class="function-name">}</span>{<span class="font-latex-sedate">\theTVn</span>}
-<span class="font-latex-sedate"><span class="keyword">\usepackage</span></span><span class="function-name">{fancyvrb}</span>
-<span class="comment-delimiter">%</span><span class="font-latex-sedate"><span class="comment">\usepackage</span></span><span class="comment">[upright]{fourier}
+<span class="font-latex-sedate"><span class="keyword">\newcounter</span></span><span class="function-name">{TVnbis}</span>
+<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\tvbis</span></span><span class="function-name">}</span>{<span class="font-latex-sedate">\theTVnbis</span>}
+
+
+<span class="comment">%% permet de donner un prefixe aux tableaux produits (</span><span class="font-latex-sedate"><span class="comment">\jobname</span></span><span class="comment"> par d&#233;faut)
+%% effectue quelques v&#233;rifications :
+</span>
+
+<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\initablor</span></span><span class="function-name">}</span>[1][<span class="font-latex-sedate">\jobname</span>]{<span class="comment">%
+</span><span class="font-latex-sedate"><span class="keyword">\renewcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\Tableaux</span></span><span class="function-name">}</span>{#1}<span class="comment">% Arret du nom des tableaux
+</span><span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{0}</span><span class="comment">% Initialisation du compteur de tableaux.
+</span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{xcas}}<span class="comment">% Avec l'option XCas
+</span>{<span class="font-latex-sedate">\IfFileExists</span>{<span class="font-latex-sedate">\Tableaux</span>.Tab.mp}<span class="comment">% Si Tableaux.mp est pr&#233;sent...
+</span> {<span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{<span class="flyspell-duplicate">windows</span>}}
+ {<span class="font-latex-sedate">\immediate</span>\write18{DEL <span class="font-latex-sedate">\Tableaux</span>.Tab.mp}}<span class="comment">% le d&#233;truire
+</span> {<span class="font-latex-sedate">\immediate</span>\write18{rm <span class="font-latex-sedate">\Tableaux</span>.Tab.mp}}}<span class="comment">%
+</span> {}<span class="comment">%
+</span>
+<span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{<span class="flyspell-duplicate">windows</span>}}
+ {<span class="font-latex-sedate">\immediate</span>\write18{COPY -f tete.mp <span class="font-latex-sedate">\Tableaux</span>.Tab.mp}}<span class="comment">% Reconstituer
+</span> <span class="comment">% l'ent&#234;te de Tableaux.mp
+</span> {<span class="font-latex-sedate">\immediate</span>\write18{cp -f tete.mp <span class="font-latex-sedate">\Tableaux</span>.Tab.mp}}}
+{<span class="font-latex-sedate">\IfFileExists</span>{<span class="font-latex-sedate">\Tableaux</span>.Tab.mp}<span class="comment">% Sans l'option XCas, si Tableaux.mp existe
+</span> {<span class="font-latex-sedate">\immediate</span>\write18{mpost -interaction=batchmode <span class="font-latex-sedate">\Tableaux</span>.Tab}}<span class="comment">% l'ex&#233;cuter pour reconstituer les figures
+</span> {<span class="font-latex-sedate">\PackageWarning</span>{tablor}{Pas de source metapost pour creer les tableaux.}}<span class="comment">% sinon message d'erreur
+</span> <span class="comment">% (mais pas d'arret car les tableaux
+</span> <span class="comment">% peuvent &#234;tre pr&#233;sents )
+</span>}}<span class="comment">%
+</span>
+
+
+<span class="comment">%% commande pour lancer giac selon l'OS
</span>
<span class="font-latex-sedate">\makeatletter</span>
-<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\executGiacmp</span></span><span class="function-name">}</span>[1]{
-<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{giac &lt;#1 } }
+<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\executGiacmp</span></span><span class="function-name">}</span>[1]{<span class="comment">%
+</span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{<span class="flyspell-duplicate">windows</span>}}<span class="comment">%
+</span>{<span class="font-latex-sedate">\immediate</span>\write18{giac #1 }}<span class="comment">%
+</span>{<span class="font-latex-sedate">\immediate</span>\write18{giac &lt;#1 }}}
<span class="font-latex-sedate">\makeatother</span>
+
+
+<span class="comment">%%%
+%
+%%% LES SCRIPTS GIAC/</span><span class="comment"><span class="flyspell-incorrect">XCAS</span></span><span class="comment">
+%
+%%%
+</span>
+
+
+
+
+
+
+<span class="comment">%%
+%% Code giac/Xcas pour les Tableaux de Variations
+%%
+</span>
+
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTV.cxx}
TV(L,F,nom,nomv,f,ftt,nmr):={
-<span class="flyspell-duplicate">nl</span>:=size(L);
+nl:=size(L);
f:=unapply(f,x);
fp:=fonction_derivee(f);
Z:=concat(L,F);
@@ -163,42 +297,42 @@ S:=resoudre(fp(x),x);
si size(S)&gt;0 alors pour j de 0 jusque size(S)-1 faire
kk:=(evalf(S[j])&gt;=evalf(L[0])) and (evalf(S[j])&lt;=evalf(L[nl-1]));
if(kk==1){Z:=append(Z,simplifier(S[j]))};
- fpour
+ <span class="flyspell-duplicate">fpour</span>
fsi;
Z:=sort(Z);
-<span class="flyspell-duplicate">nz</span>:=size(Z);
+nz:=size(Z);
si Z[0]==Z[1] alors Z:=augment(Z[0],Z[2..nz-1]);nz:=nz-1;
fsi;
pour u de 1 jusque nz-2 faire
si Z[u]==Z[u+1] alors Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=nz-1;
fsi;
-<span class="flyspell-duplicate">fpour</span>;
+fpour;
nz:=size(Z);
l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";lsp:=" ";
pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex);
-";<span class="flyspell-duplicate">fpour</span>;
+";fpour;
k0:= evalf(limite(f(x),x=Z[0],1))&gt; evalf(limite(f(x),x=Z[1],-1));
kz:=evalf(limite(f(x),x=Z[nz-1],-1))&gt; evalf(limite(f(x),x=Z[nz-2],1));
-lsi:="
+<span class="flyspell-duplicate">lsi</span>:="
newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> etex);"+
- if(Z[0]==-<span class="flyspell-duplicate">infinity</span>){if(<span class="flyspell-duplicate">sign</span>(<span class="flyspell-duplicate">evalf</span>(<span class="flyspell-duplicate">fp</span>(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){
- if(<span class="flyspell-duplicate">fp</span>(Z[0])==0){"<span class="flyspell-duplicate">valBarre</span>(<span class="flyspell-duplicate">btex</span> 0 <span class="flyspell-duplicate">etex</span>);"}<span class="flyspell-duplicate">else</span>{" "}+
+ if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){
+ if(fp(Z[0])==0){"valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" "}+
if(sign(fp(Z[0]+10^(-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
if(sign(fp((Z[0]+10^(-5))))==1){"plus;"}else{"moins;"} }}
if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))&gt;0;
- lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{"<span class="flyspell-duplicate">nonDefBarre</span>;"}+
+ lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
if(ksp==1){"plus;"}else{"moins;"}
}; }
-lsf:=if(member(Z[nz-1],F)==0){""}else{"nomDefBarre;
+lsf:=if(member(Z[nz-1],F)==0){""}else{"<span class="flyspell-duplicate">nomDefBarre</span>;
"}
-lm0:=limite(f(x),x=Z[0],1)==-<span class="flyspell-duplicate">infinity</span>;
+lm0:=limite(f(x),x=Z[0],1)==-infinity;
li:="
-<span class="flyspell-duplicate">newLigneVariations</span>(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$</span> etex);"+
+newLigneVariations(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$</span> etex);"+
if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"}
else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"}+
if(k0==1){"1"}<span class="flyspell-duplicate">else</span>{"0"}+
@@ -206,29 +340,29 @@ lm0:=limite(f(x),x=Z[0],1)==-<span class="flyspell-duplicate">infinity</span>;
if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ krm:=evalf(limite(f(x),x=Z[r-1],1))&lt; evalf(limite(f(x),x=Z[r],-1));
krp:=evalf(limite(f(x),x=Z[r],1))&gt; evalf(limite(f(x),x=Z[r+1],-1)) ;
- lmrm:=limite(f(x),x=Z[r],-1)==-infinity;lmrp:=limite(f(x),x=Z[r],1)==-infinity;
+ lmrm:=limite(f(x),x=Z[r],-1)==-infinity;lmrp:=limite(f(x),x=Z[r],1)==-<span class="flyspell-duplicate">infinity</span>;
lp:=lp+if(member(Z[r],F)){
- "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],-1)))}+"$</span> etex,"+if(krm==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],1)))}+"$</span> etex,"+if(krp==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}}
+ "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],-1)))}+"$</span> etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}}
else{"valPos(btex <span class="font-latex-math">$"+latex(simplifier(f(Z[r])))+"$</span>
etex,"+if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);
"}}}
}; }
-<span class="flyspell-duplicate">lnz</span>:=limite(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>;
+lnz:=limite(f(x),x=Z[nz-1],-1)==-infinity;
lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}else{"nonDefBarre;limGauche(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}+
- if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);
+ if(kz==1){"1);"}else{"0);
"};
-<span class="flyspell-duplicate">intro</span>:="input tableauVariation;
+intro:="input tableauVariation;
verbatimtex
-<span class="comment-delimiter">%</span><span class="comment">&amp;latex
+<span class="comment">%&amp;latex
</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="variable-name">[upright]</span><span class="function-name">{fourier}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">unboldmath}</span>}
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span>
- <span class="flyspell-duplicate">etex</span>
+ etex;
"
@@ -236,57 +370,125 @@ lm0:=limite(f(x),x=Z[0],1)==-<span class="flyspell-duplicate">infinity</span>;
MetaL:=if(ftt==2){if(nz&gt;2){intro+"beginTableau("+nmr+")"+
l0+lsi+lsp+lsf+"
endTableau;
-end";}else{
-<span class="flyspell-duplicate">intro</span>+"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+end
+";}else{
+intro+"beginTableau("+nmr+")"+
l0+
lsi+lsf+"
endTableau;
<span class="flyspell-duplicate">end</span>";
}
-}else{ if(ftt==0){if(nz&gt;2){intro+"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+}else{ if(ftt==0){if(nz&gt;2){intro+"beginTableau("+nmr+")"+
l0+
li+
lp+
lf
+"
-<span class="flyspell-duplicate">endTableau</span>;
-<span class="flyspell-duplicate">end</span>";}else{intro+"beginTableau("+nmr+")"+
+endTableau;
+end";}else{intro+"beginTableau("+nmr+")"+
l0+
li+
lf
+"
-<span class="flyspell-duplicate">endTableau</span>;
-<span class="flyspell-duplicate">end</span>";}}else{
+endTableau;
+end";}}else{
if(nz&gt;2){intro+"beginTableau("+nmr+")"+
l0+
lsi+lsp+lsf+
li+
-<span class="flyspell-duplicate">lp</span>+
-<span class="flyspell-duplicate">lf</span>
+lp+
+lf
+"
endTableau;
end";}else{intro+"beginTableau("+nmr+")"+
l0+
-<span class="flyspell-duplicate">lsi</span>+lsf+
+lsi+lsf+
li+
lf
+"
endTableau;
-<span class="flyspell-duplicate">end</span>";}
+end";}
}}
-return(<span class="flyspell-duplicate">MetaL</span>);
- }:;
+MetaLfc:=if(ftt==2){if(nz&gt;2){"
+
+beginTableau("+nmr+")"+
+ l0+lsi+lsp+lsf+"
+endTableau;
+
+";}else{
+intro+"beginTableau("+nmr+")"+
+ l0+
+lsi+lsf+"
+endTableau;
+
+";
+}
+}else{ if(ftt==0){if(nz&gt;2){"beginTableau("+nmr+")"+
+ l0+
+li+
+lp+
+lf
++"
+endTableau;
+
+";}else{"beginTableau("+nmr+")"+
+ l0+
+li+
+lf
++"
+endTableau;
+
+";}}else{
+if(nz&gt;2){"beginTableau("+nmr+")"+
+ l0+
+lsi+lsp+lsf+
+li+
+lp+
+lf
++"
+endTableau;
+
+";}else{"beginTableau("+nmr+")"+
+ l0+
+lsi+lsf+
+li+
+lf
++"
+endTableau;
+
+";}
+}}
+
+
+sortie:=fopen("XCasmpfc.mp");
+fprint(sortie,Unquoted,MetaLfc);
+fclose(sortie);
+
+
+return(MetaL);
+ }:;
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
+
+
+<span class="comment">%%
+%% Code giac/Xcas pour les Tableaux de Variations avec
+%% Valeurs interm&#233;diaires
+%%
+</span>
+
+
+
+
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVI.cxx}
-<span class="flyspell-duplicate">TVI</span>(L,F,nom,nomv,f,ftt,ao,nmr):={
-<span class="flyspell-duplicate">nl</span>:=size(L);
+TVI(L,F,nom,nomv,f,ftt,ao,nmr):={
+nl:=size(L);
f:=unapply(f,x);
fp:=fonction_derivee(f);
Z:=concat(L,F);
@@ -298,82 +500,82 @@ S:=resoudre(fp(x),x);
fsi;
Z:=sort(Z);
-<span class="flyspell-duplicate">nz</span>:=size(Z);
+nz:=size(Z);
si Z[0]==Z[1] alors Z:=augment(Z[0],Z[2..nz-1]);nz:=nz-1;
fsi;
pour u de 1 jusque nz-2 faire
- si Z[u]==Z[u+1] alors Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=<span class="flyspell-duplicate">nz</span>-1;
+ si Z[u]==Z[u+1] alors Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=nz-1;
fsi;
-<span class="flyspell-duplicate">fpour</span>;
+fpour;
nz:=size(Z);
-l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";<span class="flyspell-duplicate">lsp</span>:=" ";
+l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";lsp:=" ";
LI:=limite(f(x),x,Z[0],1);
LF:=limite(f(x),x,Z[nz-1],-1);
-<span class="flyspell-duplicate">LP</span>:=NULL;
+LP:=NULL;
if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){LP:=LP,if(member(Z[r],F)){limite(f(x),x,Z[r],-1),limite(f(x),x,Z[r],1)}else{f(Z[r])}}};
-if(nz&gt;2){ LL:=[LI,LP,LF]}else{LL:=[LI,<span class="flyspell-duplicate">LF</span>]};
+if(nz&gt;2){ LL:=[LI,LP,LF]}else{LL:=[LI,LF]};
-<span class="flyspell-duplicate">NL</span>:=size(LL);
-A:=NULL;aa:=1;<span class="flyspell-duplicate">kk</span>:=0;
+NL:=size(LL);
+A:=NULL;aa:=1;kk:=0;
if(NL==nz){for(k:=0;k&lt;nz-1;k++){TestS:=(sign(evalf(LL[k]-ao))==sign(evalf(LL[k+1]-ao))) or (sign(evalf(LL[k]-ao))==0.0)or (sign(evalf(LL[k+1]-ao))==0.0);
-if(TestS==0){A:=A,aa;l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[k])+"$</span> etex);"+"val(btex <span class="font-latex-math">$\\alpha_</span><span class="font-latex-subscript"><span class="font-latex-math">"</span></span><span class="font-latex-math">+aa+"$</span> etex);";aa:=<span class="flyspell-duplicate">aa</span>+1;}else{l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[k])+"$</span> etex);"}}
-l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> <span class="flyspell-duplicate">etex</span>);"};
+if(TestS==0){A:=A,aa;l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[k])+"$</span> etex);"+"val(btex <span class="font-latex-math">$\\alpha_</span><span class="font-latex-subscript"><span class="font-latex-math">"</span></span><span class="font-latex-math">+aa+"$</span> etex);";aa:=aa+1;}else{l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[k])+"$</span> etex);"}}
+l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> etex);"};
if(NL&gt;nz){for(k:=0;k&lt;NL-1;k++){TestS:=(sign(evalf(LL[k]-ao))==sign(evalf(LL[k+1]-ao))) or (sign(evalf(LL[k]-ao))==0.0)or (sign(evalf(LL[k+1]-ao))==0.0);
-<span class="flyspell-duplicate">TestL</span>:=(abs(LL[k])==abs(LL[k+1]));
+TestL:=(abs(LL[k])==abs(LL[k+1]));
if(TestS==0){ if( TestL==1 ){l0:=l0}else{
A:=A,aa;l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[kk])+"$</span> etex);"+"val(btex <span class="font-latex-math">$\\alpha_</span><span class="font-latex-subscript"><span class="font-latex-math">"</span></span><span class="font-latex-math">+aa+"$</span> etex);";aa:=aa+1;kk:=kk+1}}else{l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[kk])+"$</span> etex);";kk:=kk+1}}
-l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> <span class="flyspell-duplicate">etex</span>);
+l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> etex);
"};
-TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-<span class="flyspell-duplicate">ao</span>))==0.0);
+TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-ao))==0.0);
k0:= evalf(limite(f(x),x=Z[0],1))&gt; evalf(limite(f(x),x=Z[1],-1));
- kz:=evalf(limite(f(x),x=Z[nz-1],-1))&gt; evalf(limite(f(x),x=Z[<span class="flyspell-duplicate">nz</span>-2],1));
+ kz:=evalf(limite(f(x),x=Z[nz-1],-1))&gt; evalf(limite(f(x),x=Z[nz-2],1));
lsi:="
-<span class="flyspell-duplicate">newLigneSignes</span>(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> etex);"+
- if(Z[0]==-<span class="flyspell-duplicate">infinity</span>){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){
- if(fp(Z[0])==0){"valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{" "}+
- if(sign(fp((Z[0]+10^(-10))))==1){"plus;"}else{"moins;"}}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"+
- if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex<span class="font-latex-math">$ $</span> etex);"+ if(sign(<span class="flyspell-duplicate">fp</span>(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"}}<span class="flyspell-duplicate">else</span>{" "};
+newLigneSignes(btex <span class="font-latex-math">$\\hbox{ Signe de }\\atop{\\displaystyle "+nom+"'("+nomv+")}$</span> <span class="flyspell-duplicate">etex</span>);"+
+ if(Z[0]==-infinity){if(sign(evalf(fp(if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F)==0){
+ if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+
+ if(sign(fp((Z[0]+10^(-10))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
+ if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex<span class="font-latex-math">$ $</span> etex);"+ if(sign(fp(10^(-10)+Z[0]))==1){"plus;"}else{"moins;"}}else{" "};
-if(nz&gt;2){rr:=1; if(nz==NL){for(r:=1; r&lt;=NL-2;r++){ TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-<span class="flyspell-duplicate">ao</span>))==0.0);
+if(nz&gt;2){rr:=1; if(nz==NL){for(r:=1; r&lt;=NL-2;r++){ TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0);
ksp:=evalf(fp(Z[r]+0.01))&gt;0;
TestL:=(abs(LL[r])==abs(LL[r+1]));
lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
if(ksp==1){"plus;"}else{"moins;"}+if(TestS==0){"valBarre(btex <span class="font-latex-math">$ $</span> etex);"}else{" "}+if(TestS==0){if(ksp==1){"plus;"}else{"moins;"}}else{" "};
}}
-<span class="flyspell-duplicate">else</span>{for(r:=1; r&lt;=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))&gt;0;TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-<span class="flyspell-duplicate">ao</span>))==0.0);
+else{for(r:=1; r&lt;=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))&gt;0;TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0);
TestL:=(abs(LL[r])==abs(LL[r+1]));
- if(TestS==0){if( TestL==1 ){lsp:=lsp}else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}+
+ if(TestS==0){if( TestL==1 ){lsp:=lsp}else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
if(kspp==1){"plus;"}else{"moins;"}+"valBarre(btex <span class="font-latex-math">$ $</span> etex);"+if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;}
- } else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}+
- if(kspp==1){"plus;"}else{"moins;"};rr:=<span class="flyspell-duplicate">rr</span>+1;}
+ } else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
+ if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;}
}}
};
-<span class="flyspell-duplicate">lsf</span>:=if(member(Z[nz-1],F)==0){""}else{"nomDefBarre;"}
+lsf:=if(member(Z[nz-1],F)==0){""}else{"nomDefBarre;"}
lm0:=limite(f(x),x=Z[0],1)==-infinity;
-TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-<span class="flyspell-duplicate">ao</span>))==0.0);
+TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))==0.0) or (sign(evalf(LL[1]-ao))==0.0);
li:="
-<span class="flyspell-duplicate">newLigneVariations</span>(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$</span> etex);
+newLigneVariations(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Variations de }\\atop{\\displaystyle \\Mathbold{"+nom+"}}$</span> etex);
"+ if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"}
else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[0],1)))}+"$</span> etex,"}+
- if(k0==1){"1);"}else{"0);"}+if(TestS==0){"valPos(btex <span class="font-latex-math">$ "+ao+" $</span> etex,0.5);"}<span class="flyspell-duplicate">else</span>{" "};
+ if(k0==1){"1);"}else{"0);"}+if(TestS==0){"valPos(btex <span class="font-latex-math">$ "+ao+" $</span> etex,0.5);"}else{" "};
if(nz&gt;2){if(nz==NL){for(r:=1; r&lt;=nz-2;r++){TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0);
@@ -383,50 +585,50 @@ TestS:=(sign(evalf(LL[0]-ao))==sign(evalf(LL[1]-ao))) or (sign(evalf(LL[0]-ao))=
lp:=lp+if(member(Z[r],F)) {
"limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],-1)))}+"$</span> etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[r],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}}
else{"valPos(btex <span class="font-latex-math">$"+latex(simplifier(f(Z[r])))+"$</span>
- etex,"+if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+if(TestS==0){"<span class="flyspell-duplicate">valPos</span>(btex
- <span class="font-latex-math">$ "+ao+" $</span> <span class="flyspell-duplicate">etex</span>,0.5);"
+ etex,"+if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+if(TestS==0){"valPos(btex
+ <span class="font-latex-math">$ "+ao+" $</span> etex,0.5);"
}else{" "};
};//for
}else{rr:=1;for(r:=1; r&lt;=NL-2;r++){TestS:=(sign(evalf(LL[r]-ao))==sign(evalf(LL[r+1]-ao))) or (sign(evalf(LL[r]-ao))==0.0)or (sign(evalf(LL[r+1]-ao))==0.0);
- krm:=evalf(limite(f(x),x=Z[rr-1],1))&lt; evalf(limite(f(x),x=Z[<span class="flyspell-duplicate">rr</span>],-1));
+ krm:=evalf(limite(f(x),x=Z[rr-1],1))&lt; evalf(limite(f(x),x=Z[rr],-1));
krp:=evalf(limite(f(x),x=Z[rr],1))&gt; evalf(limite(f(x),x=Z[rr+1],-1)) ;
lmrm:=limite(f(x),x=Z[rr],-1)==-infinity;lmrp:=limite(f(x),x=Z[rr],1)==-infinity; TestL:=(abs(LL[r])==abs(LL[r+1]));
if(TestS==0){if( TestL==1 ){lp:=lp}else{ lp:=lp+if(member(Z[rr],F)) {
"limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],-1)))}+"$</span> etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}}
else{"valPos(btex <span class="font-latex-math">$"+latex(simplifier(f(Z[rr])))+"$</span>
etex,"+if(sign(evalf(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+"valPos(btex
- <span class="font-latex-math">$ "+ao+" $</span> <span class="flyspell-duplicate">etex</span>,0.5);
+ <span class="font-latex-math">$ "+ao+" $</span> etex,0.5);
";rr:=rr+1;
}// else testL==1
}//testS==0
else{lp:=lp+if(member(Z[rr],F)){
- "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],-1)))}+"$</span> etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],1)))}+"$</span> etex,"+if(krp==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}}
+ "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],-1)))}+"$</span> etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[rr],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}}
else{"valPos(btex <span class="font-latex-math">$"+latex(simplifier(f(Z[rr])))+"$</span>
etex,"+if(sign(evalf(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);
"}}};rr:=rr+1;
-}//else <span class="flyspell-duplicate">testS</span>==0
+}//else testS==0
}//for nz&lt;NL
-}// else nz&lt;<span class="flyspell-duplicate">NL</span>
+}// else nz&lt;NL
//if nz=NL
};//if nz&gt;2
-<span class="flyspell-duplicate">lnz</span>:=limite(f(x),x=Z[nz-1],-1)==-infinity;
- lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}else{"<span class="flyspell-duplicate">nonDefBarre</span>;limGauche(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"}+
- if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"};
+lnz:=limite(f(x),x=Z[nz-1],-1)==-infinity;
+ lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}else{"nonDefBarre;limGauche(btex <span class="font-latex-math">$"+if(lnz==1){"-\\infty"}else{latex(simplifier(limite(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"}+
+ if(kz==1){"1);"}else{"0);"};
intro:="
input tableauVariation;
verbatimtex
-<span class="comment-delimiter">%</span><span class="comment">&amp;latex
+<span class="comment">%&amp;latex
</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="variable-name">[upright]</span><span class="function-name">{fourier}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">unboldmath}</span>}
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span>
- <span class="flyspell-duplicate">etex</span>
+ etex;
";
@@ -434,60 +636,116 @@ verbatimtex
MetaL:= if(ftt==2){if(nz&gt;2){intro+"beginTableau("+nmr+")"+
l0+lsi+lsp+lsf+"
endTableau;
-<span class="flyspell-duplicate">end</span>";}else{
-intro+"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+end";}else{
+intro+"beginTableau("+nmr+")"+
l0+
lsi+lsf+"
endTableau;
-<span class="flyspell-duplicate">end</span>";
+end";
}
}else{
if(ftt==0){if(nz&gt;2){intro+"beginTableau("+nmr+")"+
l0+
li+
lp+
-<span class="flyspell-duplicate">lf</span>
+lf
+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
end";}else{intro+"beginTableau("+nmr+")"+
l0+
li+
-<span class="flyspell-duplicate">lf</span>
+lf
+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
end";}}else{
if(nz&gt;2){intro+"beginTableau("+nmr+")"+
l0+
-<span class="flyspell-duplicate">lsi</span>+lsp+lsf+
+lsi+lsp+lsf+
li+
-<span class="flyspell-duplicate">lp</span>+
+lp+
lf
+"
endTableau;
-<span class="flyspell-duplicate">end</span>";}else{intro+"beginTableau("+nmr+")"+
+end";}else{intro+"beginTableau("+nmr+")"+
l0+
-<span class="flyspell-duplicate">lsi</span>+lsf+
+lsi+lsf+
li+
lf
+"
-<span class="flyspell-duplicate">endTableau</span>;
-<span class="flyspell-duplicate">end</span>";}
+endTableau;
+end";}
}};
-return(<span class="flyspell-duplicate">MetaL</span>);
- }:;
+MetaLfc:= if(ftt==2){if(nz&gt;2){"beginTableau("+nmr+")"+
+ l0+lsi+lsp+lsf+"
+endTableau;
+";}else{
+"beginTableau("+nmr+")"+
+ l0+
+lsi+lsf+"
+endTableau;
-<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
+";
+}
+}else{
+if(ftt==0){if(nz&gt;2){"beginTableau("+nmr+")"+
+ l0+
+li+
+lp+
+lf
++"
+endTableau;
+
+";}else{"beginTableau("+nmr+")"+
+ l0+
+li+
+lf
++"
+endTableau;
+";}}else{
+if(nz&gt;2){"beginTableau("+nmr+")"+
+ l0+
+lsi+lsp+lsf+
+li+
+lp+
+lf
++"
+endTableau;
+";}else{"beginTableau("+nmr+")"+
+ l0+
+lsi+lsf+
+li+
+lf
++"
+endTableau;
+
+";}
+}};
+
+
+
+sortie:=fopen("XCasmpfc.mp");
+fprint(sortie,Unquoted,MetaLfc);
+fclose(sortie);
+return(MetaL);
+ }:;
+
+<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
+<span class="comment">%%
+%% Code giac/Xcas pour les Tableaux de signes de produits
+%%
+</span>
+
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTabSignL.cxx}
@@ -506,13 +764,13 @@ pour k de 0 jusque n-1 faire
if(S[j]&gt;mini and S[j]&lt;maxi){Z:=Z,simplifier(S[j]);}
fpour;
fsi;
-<span class="flyspell-duplicate">fpour</span>;
+fpour;
Z:=sort(Z);
-<span class="flyspell-duplicate">nz</span>:=size(Z);
+nz:=size(Z);
if(nz&gt;2){pour u de 1 jusque nz-2 faire
si Z[u]==Z[u+1] alors Z:=Z[0..u-1],Z[u+1..nz-1];nz:=nz-1;
fsi;
-<span class="flyspell-duplicate">fpour</span>;};
+fpour;};
nz:=size(Z);
if(nz==0){li:="";l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);";
@@ -522,40 +780,54 @@ if(mini!=-infinity and L[p](mini)==0){"
valBarre(btex 0 etex);"}else{"
"}+
if(L[p]((mini+maxi)*0.5&gt;0)){"plus;"}else{"moins;"}+if(maxi!=+infinity and L[p](maxi)==0){"
- valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{"
+ valBarre(btex 0 etex);"}else{"
"}
}
lf:=if(product(L[s]((mini+maxi)*.5),s,0,n-1)&gt;0){"plus;"}else{"moins;"};
MetaL:=" input tableauVariation;
- <span class="flyspell-duplicate">verbatimtex</span>
-<span class="comment-delimiter">%</span><span class="comment">&amp;latex
+ verbatimtex
+<span class="comment">%&amp;latex
</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="variable-name">[upright]</span><span class="function-name">{fourier}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">unboldmath}</span>}
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span>
- etex
- beginTableau("+nmr+")
+ etex;
+
+beginTableau("+nmr+")
newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex);
"+l0+li+
"
- newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe du }\\atop{{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> produit}}$</span> <span class="flyspell-duplicate">etex</span>);"+
+ newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe du }\\atop{{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> produit}}$</span> etex);"+
if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){"
valBarre(btex 0 etex);"}else{"
"}+ lf+
if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){"
valBarre(btex 0 etex);"}else{"
"}+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
end"
;
-}<span class="flyspell-duplicate">else</span>{
-
+MetaLfc:=" beginTableau("+nmr+")
+newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex);
+ "+l0+li+
+ "
+ newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe du }\\atop{{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> produit}}$</span> etex);"+
+ if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){"
+ valBarre(btex 0 etex);"}else{"
+ "}+ lf+
+ if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){"
+ valBarre(btex 0 etex);"}else{"
+ "}+"
+endTableau;
+"
+;
+}else{
l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);";li:=" ";lr:=" ";
pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex);
@@ -565,9 +837,9 @@ l0:=l0+"val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);";
for(p:=0;p&lt;=n-1;p++){lp:="";
li:=li+"
-newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(L[p](x))+"}}$</span> <span class="flyspell-duplicate">etex</span>);"+
+newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(L[p](x))+"}}$</span> etex);"+
if(mini!=-infinity and L[p](mini)==0){"
- valBarre(btex 0 etex);"}else{"
+ valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{"
"}+
if(L[p](Z[0]-0.01)&gt;0){"plus;"}else{"moins;"};
@@ -580,7 +852,7 @@ newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="f
li:=li+lp+ if(simplifier(L[p](Z[nz-1]))==0){"valBarre(btex 0 etex);"}else{"barre;"}+
if(L[p](Z[nz-1]+1.0)&gt;0){"plus;"}else{"moins;
"}+if(maxi!=+infinity and L[p](maxi)==0){"
- valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{"
+ valBarre(btex 0 etex);"}else{"
"}
};
@@ -589,15 +861,15 @@ pour t de 0 jusque nz-2 faire
lr:=lr+if(product(L[s]((Z[t]+Z[t+1])*.5),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+"valBarre(btex 0 etex);"
fpour
-MetaL:=" input <span class="flyspell-duplicate">tableauVariation</span>;
+MetaL:=" input tableauVariation;
verbatimtex
-<span class="comment-delimiter">%</span><span class="comment">&amp;latex
+<span class="comment">%&amp;latex
</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="variable-name">[upright]</span><span class="function-name">{fourier}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">unboldmath}</span>}
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span>
- etex
+ etex;
beginTableau("+nmr+")
newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex);
"+l0+
@@ -606,18 +878,41 @@ newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex
"
newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe du }\\atop{{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> produit}}$</span> etex);"+
if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){"
- valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{"
+ valBarre(btex 0 etex);"}else{"
"}+
- if(product(L[s](Z[0]-0.01),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+"valBarre(btex 0 etex);"+
+ if(product(L[s](Z[0]-0.01),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+"valBarre(<span class="flyspell-duplicate">btex</span> 0 etex);"+
lr+
if(product(L[s](Z[nz-1]+0.01),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+
if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){"
valBarre(btex 0 etex);"}else{"
"}+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
end"
-;}
-return(<span class="flyspell-duplicate">MetaL</span>);
+;
+MetaLfc:=" beginTableau("+nmr+")
+newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex);
+ "+l0+
+ li
+ +
+ "
+ newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe du }\\atop{{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> produit}}$</span> etex);"+
+ if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){"
+ valBarre(btex 0 etex);"}else{"
+ "}+
+ if(product(L[s](Z[0]-0.01),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+"valBarre(btex 0 etex);"+
+ lr+
+ if(product(L[s](Z[nz-1]+0.01),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+
+ if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){"
+ valBarre(btex 0 etex);"}else{"
+ "}+"
+endTableau;
+
+ ";
+}
+sortie:=fopen("XCasmpfc.mp");
+fprint(sortie,Unquoted,MetaLfc);
+fclose(sortie);
+return(MetaL);
}:;
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
@@ -625,9 +920,10 @@ return(<span class="flyspell-duplicate">MetaL</span>);
-
-
-
+<span class="comment">%%
+%% Code giac/Xcas pour les Tableaux de signes de quotients
+%%
+</span>
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTabSignQ.cxx}
@@ -648,7 +944,7 @@ pour k de 0 jusque n-1 faire
if(S[j]&gt;mini and S[j]&lt;maxi){Z:=Z,simplifier(S[j]);}
fpour;
fsi;
-<span class="flyspell-duplicate">fpour</span>;
+fpour;
pour k de 0 jusque m-1 faire
@@ -667,39 +963,39 @@ nz:=size(Z);
if(nz&gt;2){pour u de 1 jusque nz-2 faire
si Z[u]==Z[u+1] alors Z:=Z[0..u-1],Z[u+1..nz-1];nz:=nz-1; // pour les z&#233;ros en double
fsi;
-<span class="flyspell-duplicate">fpour</span>;}
+fpour;}
Z:=sort(Z);
nz:=size(Z);
if(nz&gt;2){pour u de 1 jusque nz-2 faire
- si Z[u]==Z[u+1] alors Z:=Z[0..u-1],Z[u+1..nz-1];nz:=<span class="flyspell-duplicate">nz</span>-1;
+ si Z[u]==Z[u+1] alors Z:=Z[0..u-1],Z[u+1..nz-1];nz:=nz-1;
fsi;
fpour;};
nz:=size(Z);
if(nz==0){li:="";l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);";
for(p:=0;p&lt;=n-1;p++){li:=li+"
-<span class="flyspell-duplicate">newLigneSignes</span>(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(L[p](x))+"}}$</span> etex);"+
+newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(L[p](x))+"}}$</span> etex);"+
if(mini!=-infinity and L[p](mini)==0){"
valBarre(btex 0 etex);"}else{"
"}+
if(L[p]((mini+maxi)*0.5&gt;0)){"plus;"}else{"moins;"}+if(maxi!=+infinity and L[p](maxi)==0){"
- valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{"
+ valBarre(btex 0 etex);"}else{"
"}
}
lf:=if(product(L[s]((mini+maxi)*.5),s,0,n-1)&gt;0){"plus;"}else{"moins;"};
-MetaL:=" input <span class="flyspell-duplicate">tableauVariation</span>;
+MetaL:=" input tableauVariation;
verbatimtex
-<span class="comment-delimiter">%</span><span class="comment">&amp;latex
+<span class="comment">%&amp;latex
</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="variable-name">[upright]</span><span class="function-name">{fourier}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">unboldmath}</span>}
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span>
- etex
+ etex;
beginTableau("+nmr+")
newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex);
@@ -708,20 +1004,44 @@ newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex
newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe }\\atop{{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> de "+nomf+"(x)}}$</span> etex);"+
if(member(mini,FF)==0){if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){"
valBarre(btex 0 etex);"}else{"
- "}}else{"nonDefBarre;"}+ <span class="flyspell-duplicate">lf</span>+
+ "}}else{"nonDefBarre;"}+ lf+
if(member(maxi,FF)==0){if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){"
valBarre(btex 0 etex);"}else{"
"}}else{"nonDefBarre;"}+"
endTableau;
end"
;
-}<span class="flyspell-duplicate">else</span>{
+
+
+
+
+MetaLfc:="
+beginTableau("+nmr+")
+newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex);
+ "+l0+li+
+ "
+ newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe }\\atop{{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> de "+nomf+"(x)}}$</span> etex);"+
+ if(member(mini,FF)==0){if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){"
+ valBarre(btex 0 etex);"}else{"
+ "}}else{"nonDefBarre;"}+ lf+
+ if(member(maxi,FF)==0){if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){"
+ valBarre(btex 0 etex);"}else{"
+ "}}else{"nonDefBarre;"}+"
+endTableau;
+
+"
+;
+
+
+
+
+}else{
l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);";li:=" ";lr:=" ";
pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex);
";fpour;
-l0:=l0+"val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> <span class="flyspell-duplicate">etex</span>);";
+l0:=l0+"val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);";
for(p:=0;p&lt;=n-1;p++){lp:="";
@@ -748,18 +1068,18 @@ newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="f
pour t de 0 jusque nz-2 faire
lr:=lr+if(product(L[s]((Z[t]+Z[t+1])*.5),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+
- if(member(Z[t+1],FF)==0){"valBarre(btex 0 etex);"}else{ "<span class="flyspell-duplicate">nonDefBarre</span>;"}
+ if(member(Z[t+1],FF)==0){"valBarre(btex 0 etex);"}else{ "nonDefBarre;"}
fpour
MetaL:=" input tableauVariation;
-<span class="flyspell-duplicate">verbatimtex</span>
-<span class="comment-delimiter">%</span><span class="comment">&amp;latex
+verbatimtex
+<span class="comment">%&amp;latex
</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="variable-name">[upright]</span><span class="function-name">{fourier}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">unboldmath}</span>}
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span>
- etex
+ etex;
beginTableau("+nmr+")
newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex);
"+l0+
@@ -769,37 +1089,86 @@ newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex
newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe }\\atop{{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> de"+nomf+"(x)}}$</span> etex);"+
if(member(mini,FF)==0){if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){"
valBarre(btex 0 etex);"}else{"
- "}}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}+
+ "}}else{"nonDefBarre;"}+
if(product(L[s](Z[0]-0.01),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+
if(member(Z[0],FF)==0){"valBarre(btex 0 etex);"}else{ "nonDefBarre;"}+
lr+
if(product(L[s](Z[nz-1]+0.01),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+
if(member(maxi,FF)==0){if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){"
valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
end"
-;}
-return(<span class="flyspell-duplicate">MetaL</span>);
+;
+
+
+
+
+MetaLfc:="
+beginTableau("+nmr+")
+newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex);
+ "+l0+
+ li
+ +
+ "
+ newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe }\\atop{{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> de"+nomf+"(x)}}$</span> etex);"+
+ if(member(mini,FF)==0){if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){"
+ valBarre(btex 0 etex);"}else{"
+ "}}else{"nonDefBarre;"}+
+ if(product(L[s](Z[0]-0.01),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+
+ if(member(Z[0],FF)==0){"valBarre(btex 0 etex);"}else{ "nonDefBarre;"}+
+ lr+
+ if(product(L[s](Z[nz-1]+0.01),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+
+ if(member(maxi,FF)==0){if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){"
+ valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+"
+endTableau;
+
+"
+
+
+}
+
+
+
+
+sortie:=fopen("XCasmpfc.mp");
+fprint(sortie,Unquoted,MetaLfc);
+fclose(sortie);
+
+
+
+
+
+return(MetaL);
}:;
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
+
+
+
+<span class="comment">%% Code giac/Xcas pour les Tableaux de signes du produit
+%% de 2 facteurs affines
+%%
+</span>
+
+
+
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTabSign.cxx}
TSa(a,b,c,d,nmr):={
zA:=resoudre(a*x+b=0,x)[0];
zB:=resoudre(c*x+d=0,x)[0];
-<span class="flyspell-duplicate">zmin</span>:=min(zA,zB);
+zmin:=min(zA,zB);
zmax:=max(zA,zB);
- Meta:= " input <span class="flyspell-duplicate">tableauVariation</span>;
+ Meta:= " input tableauVariation;
verbatimtex
-<span class="comment-delimiter">%</span><span class="comment">&amp;latex
+<span class="comment">%&amp;latex
</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="variable-name">[upright]</span><span class="function-name">{fourier}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">unboldmath}</span>}
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span>
- etex
- beginTableau("+<span class="flyspell-duplicate">nmr</span>+")
+ etex;
+ beginTableau("+nmr+")
newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex);
val(btex <span class="font-latex-math">$-\\infty$</span> etex);val(btex <span class="font-latex-math">$"+latex(zmin)+"$</span> etex);
val(btex <span class="font-latex-math">$"+latex(zmax)+"$</span>etex);
@@ -812,25 +1181,25 @@ val(btex <span class="font-latex-math">$+\\infty$</span> etex);
if(zmin==zA){"barre;"}else{"valBarre(btex 0 etex);"}+
if(a&gt;0){"plus;"}else{"moins;"}
+"
-<span class="flyspell-duplicate">newLigneSignes</span>(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+"}}$</span> etex);"
+newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+"}}$</span> etex);"
+ if(c&gt;0){"moins"}else{"plus"}+";"+
if(zmin==zB){"valBarre(btex 0 etex);"}else{"barre;"}+
if(zmin==zB){si c&gt;0 alors "plus;"; sinon "moins;";fsi}
else{si c&gt;0 alors "moins;"; sinon "plus;"; fsi}+
- if(zmin==zB){"barre;"}else{"valBarre(btex 0 <span class="flyspell-duplicate">etex</span>);"}+
+ if(zmin==zB){"barre;"}else{"valBarre(btex 0 etex);"}+
if(c&gt;0){"plus;"}else{"moins;"}
+"
newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{("+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+")("+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+")}}$</span> etex);"
- + si a*c&gt;0 alors plus; sinon moins;<span class="flyspell-duplicate">fsi</span>+";"+
+ + si a*c&gt;0 alors plus; sinon moins;fsi+";"+
"valBarre(btex 0 etex);"+
si a*c&gt;0 alors moins; sinon plus;fsi+";"+
"valBarre(btex 0 etex);"+
si a*c&gt;0 alors plus; sinon moins;fsi+";"+"
endTableau;
-<span class="flyspell-duplicate">end</span>"
+end"
;
-return(<span class="flyspell-duplicate">Meta</span>);
+return(Meta);
}:;
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
@@ -839,12 +1208,10 @@ return(<span class="flyspell-duplicate">Meta</span>);
-
-
-
-
-
-
+<span class="comment">%%
+%% Code giac/Xcas pour les Tableaux de Signes d'expression ne contenant
+%% qu'un seul terme
+</span>
@@ -873,53 +1240,78 @@ nz:=size(Z);
l0:=" ";li:=" ";lr:=" ";
if(nz==0){l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);";
li:=if(mini!=-infinity and f(mini)==0){"
- valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{"
+ valBarre(btex 0 etex);"}else{"
"}+
if(f((mini+maxi)*0.5&gt;0)){"plus;"}else{"moins;"};
-lf:=if(maxi!=+infinity and f(<span class="flyspell-duplicate">maxi</span>)==0){"
+lf:=if(maxi!=+infinity and f(maxi)==0){"
valBarre(btex 0 etex);"}else{"
"};
}else{
l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);";li:=" ";
-pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> <span class="flyspell-duplicate">etex</span>);
+pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex);
";
fpour;
l0:=l0+"val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);";
li:= if(mini!=-infinity and f(mini)==0){"
- valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{"
+ valBarre(btex 0 etex);"}else{"
"}+
if(f(Z[0]-0.01)&gt;0){"plus;"}else{"moins;"}+if(simplifier(f(Z[0]))==0){"valBarre(btex 0 etex);"}else{"barre;"};
lm:=if(nz&gt;=2){for(r:=0; r&lt;=nz-2;r++){if(f((Z[r]+Z[r+1])*.5)&gt;0){"plus;"}else{"moins;"}+
if(simplifier(f(Z[r+1]))==0){"valBarre(btex 0 etex);"}else{"barre;"}
- }}<span class="flyspell-duplicate">else</span>{" "};
+ }}else{" "};
lf:=if(f(Z[nz-1]+1.0)&gt;0){"plus;"}else{"moins;"}+if(maxi!=+infinity and f(maxi)==0){"valBarre(btex 0 etex);"}else{"
"};
}};
-<span class="flyspell-duplicate">MetaL</span>:=" input tableauVariation;
+MetaL:=" input tableauVariation;
verbatimtex
-<span class="comment-delimiter">%</span><span class="comment">&amp;latex
+<span class="comment">%&amp;latex
</span> <span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">documentclass</span><span class="function-name">{article}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="variable-name">[upright]</span><span class="function-name">{fourier}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">usepackage</span><span class="function-name">{amsmath}</span>
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">newcommand</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">Mathbold}</span>[1]{<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">mbox</span><span class="function-name">{</span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">boldmath</span><span class="function-name"><span class="font-latex-math">$#1$</span></span><span class="function-name"><span class="font-latex-warning">\\</span></span><span class="function-name">unboldmath}</span>}
<span class="font-latex-warning">\</span><span class="keyword"><span class="font-latex-warning">\</span></span><span class="keyword">begin</span><span class="function-name">{document}</span>
- etex
+ etex;
beginTableau("+nmr+")
newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex);
"+l0+"
-<span class="flyspell-duplicate">newLigneSignes</span>(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(f(x))+"}}$</span> <span class="flyspell-duplicate">etex</span>);"+
+newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(f(x))+"}}$</span> etex);"+
li+lm+lf
+"
endTableau;
end"
;
-<span class="flyspell-duplicate">return</span>(MetaL);
+
+
+MetaLfc:="
+
+beginTableau("+nmr+")
+newLigneVariables(btex <span class="font-latex-math">$\\Mathbold{x}$</span> etex);
+ "+l0+"
+newLigneSignes(btex <span class="font-latex-math">$\\hbox{\</span><span class="font-latex-bold"><span class="font-latex-math">\bf</span></span><span class="font-latex-math"> Signe de }\\atop{\\displaystyle \\Mathbold{"+latex(f(x))+"}}$</span> etex);"+
+ li+lm+lf
+ +"
+endTableau;
+
+"
+;
+
+
+
+
+sortie:=fopen("XCasmpfc.mp");
+fprint(sortie,Unquoted,MetaLfc);
+fclose(sortie);
+
+
+
+
+return(MetaL);
}:;
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
@@ -929,14 +1321,84 @@ end"
+<span class="comment">%%
+%%
+%% traitement des fichiers produits par giac/</span><span class="comment"><span class="flyspell-duplicate">xcas</span></span><span class="comment">
+%%
+%%
+</span>
-<span class="comment-delimiter">%%% </span><span class="comment">les "</span><span class="comment"><span class="flyspell-duplicate">giac</span></span><span class="comment">"
-</span>
+<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\dresse</span></span><span class="function-name">}</span>[1]{<span class="comment">%
+</span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{xcas}}{<span class="comment">% Avec l'option "XCas pr&#233;sent"
+</span> <span class="font-latex-sedate">\executGiacmp</span>{XCas#1.giac}<span class="comment">% reconstituer le tableau
+</span> <span class="comment">% exporter le source mp
+</span> <span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{windows}}<span class="comment">%
+</span> {<span class="font-latex-sedate">\immediate</span>\write18{TYPE XCasmpfc.mp &gt;&gt; <span class="font-latex-sedate">\Tableaux</span>.Tab.<span class="flyspell-duplicate">mp</span>}}<span class="comment">%
+</span> {<span class="font-latex-sedate">\immediate</span>\write18{cat XCasmpfc.mp &gt;&gt; <span class="font-latex-sedate">\Tableaux</span>.Tab.mp}}<span class="comment">%
+</span> <span class="font-latex-sedate">\immediate</span>\write18{mpost -interaction=batchmode -jobname=<span class="font-latex-sedate">\Tableaux</span>.Tab XCasmp#1}}<span class="comment">%
+</span> {<span class="comment">% sinon, si le tableau est absent, alerte.
+</span> <span class="font-latex-sedate">\IfFileExists</span>{<span class="font-latex-sedate">\Tableaux</span>.Tab.<span class="font-latex-sedate">\theTVn</span>}{}{<span class="comment">%
+</span> <span class="font-latex-sedate">\PackageError</span>{tablor}{Tableau absent non
+ reconstituable.}{Pour compiler il faut, soit les fichiers de
+ tableaux, soit le fichier <span class="font-latex-sedate">\Tableaux</span>.Tab.mp, soit disposer de
+ XCas.}}}
+
+<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span>
+ <span class="font-latex-sedate">\includegraphics</span>{<span class="font-latex-sedate">\Tableaux</span>.Tab.<span class="font-latex-sedate">\theTVn</span>}
+<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{center}</span>
+<span class="font-latex-sedate">\stepcounter</span>{<span class="flyspell-duplicate">TVn</span>}}
+
+
+<span class="comment">%%
+%% traitement des fichiers produits par giac/xcas avec possibilit&#233;
+%% de modifier le fichier metapost (environnement &#233;toil&#233;))
+%%
+</span>
+
+<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\dressetoile</span></span><span class="function-name">}</span>[1]{<span class="comment">%
+</span><span class="font-latex-sedate">\IfFileExists</span>{<span class="font-latex-sedate">\Tableaux</span>.Tab.<span class="font-latex-sedate">\theTVn</span>}{<span class="comment">% Test sur l'existence du tableau
+% Si oui, inclusion du fichier source de sauvegarde mp dans Tableaux
+</span><span class="font-latex-sedate">\immediate</span>\write18{cat TSav-<span class="font-latex-sedate">\theTVn</span>.mp &gt;&gt; <span class="font-latex-sedate">\Tableaux</span>.Tab.mp}}
+<span class="comment">% Si non, lancement des op&#233;rations de fabrication
+</span>{<span class="font-latex-sedate">\executGiacmp</span>{XCas#1.giac}<span class="comment">%
+</span> <span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{emacs}}{<span class="font-latex-sedate">\immediate</span>\write18{emacs XCasmpfc.mp}}{}
+ <span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{xemacs}}{<span class="font-latex-sedate">\immediate</span>\write18{xemacs XCasmpfc.<span class="flyspell-duplicate">mp</span>}}{}
+ <span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{texmaker}}{<span class="font-latex-sedate">\immediate</span>\write18{texmaker XCasmpfc.<span class="flyspell-duplicate">mp</span>}}{}
+ <span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{vi}}{<span class="font-latex-sedate">\immediate</span>\write18{vi XCasmpfc.mp}}{}
+ <span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{winshell}}{<span class="font-latex-sedate">\immediate</span>\write18{winshell XCasmpfc.mp}}{}
+ <span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{notepad}}{<span class="font-latex-sedate">\immediate</span>\write18{notepad XCasmpfc.mp}}{}
+ <span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{vim}}{<span class="font-latex-sedate">\immediate</span>\write18{vim XCasmpfc.mp}}{}
+ <span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{<span class="flyspell-duplicate">kate</span>}}{<span class="font-latex-sedate">\immediate</span>\write18{kate XCasmpfc.<span class="flyspell-duplicate">mp</span>}}{}
+ <span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{gedit}}{<span class="font-latex-sedate">\immediate</span>\write18{gedit XCasmpfc.<span class="flyspell-duplicate">mp</span>}}{}
+ <span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{<span class="flyspell-duplicate">textmate</span>}}{<span class="font-latex-sedate">\immediate</span>\write18{<span class="flyspell-duplicate">textmate</span> <span class="flyspell-duplicate">XCasmpfc</span>.<span class="flyspell-duplicate">mp</span>}}{}
+ <span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{<span class="flyspell-duplicate">texshop</span>}}{<span class="font-latex-sedate">\immediate</span>\write18{<span class="flyspell-duplicate">texshop</span> <span class="flyspell-duplicate">XCasmpfc</span>.<span class="flyspell-duplicate">mp</span>}}{}
+ <span class="comment">% Modification avec l'&#233;diteur choisi
+</span>
+ <span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{windows}}<span class="comment">%
+</span> {<span class="font-latex-sedate">\immediate</span>\write18{cp -f XCasmpfc.mp TSav-<span class="font-latex-sedate">\theTVn</span>.<span class="flyspell-duplicate">mp</span>}
+ <span class="font-latex-sedate">\immediate</span>\write18{cat XCasmpfc.mp &gt;&gt; <span class="font-latex-sedate">\Tableaux</span>.Tab.<span class="flyspell-duplicate">mp</span>}}<span class="comment">%
+</span> {<span class="font-latex-sedate">\immediate</span>\write18{cp -f XCasmpfc.mp TSav-<span class="font-latex-sedate">\theTVn</span>.mp} <span class="comment">% Sauvegarde du
+</span> <span class="comment">% source mp sur le disque pour une
+</span> <span class="comment">% inclusion ult&#233;rieure dans Tableaux.mp.
+</span> <span class="font-latex-sedate">\immediate</span>\write18{cat XCasmpfc.mp &gt;&gt; <span class="font-latex-sedate">\Tableaux</span>.Tab.mp}} <span class="comment">% Inclusion du
+</span> <span class="comment">% source dans le
+</span> <span class="comment">% fichier
+</span> <span class="comment">% Tableaux
+</span> <span class="font-latex-sedate">\immediate</span>\write18{mpost -interaction=batchmode <span class="font-latex-sedate">\Tableaux</span>.Tab}}<span class="comment">% Reconstitution des tableaux
+</span> <span class="comment">% et cr&#233;ation du dernier. L'option
+</span> <span class="comment">% pallie l'absence de end en fin de
+</span> <span class="comment">% fichier
+</span>
+<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span>
+ <span class="font-latex-sedate">\includegraphics</span>{<span class="font-latex-sedate">\Tableaux</span>.Tab.<span class="font-latex-sedate">\theTVn</span>}
+<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{center}</span>
+<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVnbis</span></span><span class="variable-name">}</span> <span class="comment">% Restauration du compteur </span><span class="comment"><span class="flyspell-duplicate">TVn</span></span><span class="comment">
+</span>}
@@ -944,30 +1406,39 @@ end"
+<span class="comment">%%
+%%
+%%%
+%%%
+%%% les "giac" qui permettent d'ex&#233;cuter la commande rentr&#233;e dans le fichier </span><span class="comment"><span class="flyspell-duplicate">tex</span></span><span class="comment">
+%%% suivis des environnements qui permettront la saisie du code giac/xcas
+%%% Les versions &#233;toil&#233;es permettent de modifier le code metapost produit initialement
+%%%
+</span>
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCas.giac}
maple_mode(0);
-<span class="flyspell-duplicate">read</span>("XcasTabSign.cxx");
+read("XcasTabSign.cxx");
Sortie:=fopen("XCasmp.mp");
-vect.xcas.user := read("XCas.user");
-vxo := vect.xcas.user;
+<span class="flyspell-duplicate">vect</span>.xcas.user := read("XCas.user");
+<span class="flyspell-duplicate">vxo</span> := vect.xcas.user;
dim.vxo := dim(vxo);
nbr.line.vxo := dim.vxo;
-<span class="flyspell-duplicate">Resultat</span>:=cat(" ");
+Resultat:=cat(" ");
rslt := vxo[0]; RslT:=cat(rslt);
<span class="flyspell-duplicate">Resultat</span>:=cat(Resultat,RslT);
<span class="flyspell-duplicate">fprint</span>(Sortie,Unquoted,Resultat);
fclose(Sortie);
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
-<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TSa}</span>
-{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCas.user}}
+<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TSa</span></span><span class="function-name">}</span>
+{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="keyword">\begin</span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCas.user}}
{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
- <span class="font-latex-sedate">\executGiacmp</span>{XCas.<span class="flyspell-duplicate">giac</span>}
+ <span class="font-latex-sedate">\executGiacmp</span>{XCas.giac}
- <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost XCasmp}
+ <span class="font-latex-sedate">\immediate</span>\write18{mpost <span class="flyspell-duplicate">XCasmp</span>}
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span>
<span class="font-latex-sedate">\includegraphics</span>{XCasmp.<span class="font-latex-sedate">\theTVn</span>}
@@ -985,204 +1456,114 @@ fclose(Sortie);
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasQ.giac}
maple_mode(0);
-<span class="flyspell-duplicate">read</span>("XcasTabSignQ.cxx");
+read("XcasTabSignQ.cxx");
Sortie:=fopen("XCasmpQ.mp");
-vect.xcas.user := read("XCasQ.user");
-vxo := vect.xcas.user;
+<span class="flyspell-duplicate">vect</span>.xcas.user := read("XCasQ.user");
+<span class="flyspell-duplicate">vxo</span> := vect.xcas.user;
dim.vxo := dim(vxo);
nbr.line.vxo := dim.vxo;
-<span class="flyspell-duplicate">Resultat</span>:=cat(" ");
+Resultat:=cat(" ");
rslt := vxo[0]; RslT:=cat(rslt);
-Resultat:=cat(Resultat,RslT);
-fprint(Sortie,Unquoted,Resultat);
+<span class="flyspell-duplicate">Resultat</span>:=cat(Resultat,RslT);
+<span class="flyspell-duplicate">fprint</span>(Sortie,Unquoted,Resultat);
fclose(Sortie);
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
-<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TSq}</span>
-{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCasQ.user}}
-{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
- <span class="font-latex-sedate">\executGiacmp</span>{XCasQ.<span class="flyspell-duplicate">giac</span>}
-
- <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost XCasmpQ}
-
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span>
- <span class="font-latex-sedate">\includegraphics</span>{XCasmpQ.<span class="font-latex-sedate">\theTVn</span>}
-<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{center}</span>
-<span class="font-latex-sedate">\stepcounter</span>{<span class="flyspell-duplicate">TVn</span>}
-}
-
-
-
-<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TSq</span></span><span class="function-name">*}</span>
-{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCasQ.user}}
-{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
- <span class="font-latex-sedate">\executGiacmp</span>{XCasQ.<span class="flyspell-duplicate">giac</span>}
-
-
-
-
-<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{texmaker XCasmpQ.mp}
-
- <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost XCasmpQ}
-
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span>
- <span class="font-latex-sedate">\includegraphics</span>{XCasmpQ.<span class="font-latex-sedate">\theTVn</span>}
-<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{center}</span>
-<span class="font-latex-sedate">\stepcounter</span>{<span class="flyspell-duplicate">TVn</span>}
-}
+<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TSq</span></span><span class="function-name">}</span><span class="comment">%
+</span>{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="keyword">\begin</span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCasQ.user}}
+{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dresse</span>{Q}}
+<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TSq</span></span><span class="function-name">*}</span>[1]<span class="comment">%
+</span>{<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVnbis}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVn</span></span><span class="variable-name">}</span>
+<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{#1}</span>
+<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="keyword">\begin</span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCasQ.user}}
+{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{Q}}
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasL.giac}
-maple_mode(0);
+<span class="flyspell-duplicate">maple</span>_mode(0);
read("XcasTabSignL.cxx");
Sortie:=fopen("XCasmpL.mp");
-<span class="flyspell-duplicate">vect</span>.xcas.user := read("XCasL.user");
+vect.xcas.user := read("XCasL.user");
vxo := vect.xcas.user;
-dim.vxo := dim(vxo);
-nbr.line.vxo := dim.vxo;
+<span class="flyspell-duplicate">dim</span>.vxo := dim(vxo);
+<span class="flyspell-duplicate">nbr</span>.line.vxo := dim.vxo;
Resultat:=cat(" ");
rslt := vxo[0]; RslT:=cat(rslt);
-<span class="flyspell-duplicate">Resultat</span>:=cat(Resultat,RslT);
+Resultat:=cat(Resultat,RslT);
fprint(Sortie,Unquoted,Resultat);
-fclose(Sortie);
+<span class="flyspell-duplicate">fclose</span>(Sortie);
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
-<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TS</span></span><span class="function-name">}</span>
-{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCasL.user}}
-{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
- <span class="font-latex-sedate">\executGiacmp</span>{XCasL.giac}
-
- <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost <span class="flyspell-duplicate">XCasmpL</span>}
-
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span>
- <span class="font-latex-sedate">\includegraphics</span>{XCasmpL.<span class="font-latex-sedate">\theTVn</span>}
-<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{center}</span>
-<span class="font-latex-sedate">\stepcounter</span>{<span class="flyspell-duplicate">TVn</span>}
-}
-
-
-
-<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TS*}</span>
-{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCasL.user}}
-{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
- <span class="font-latex-sedate">\executGiacmp</span>{XCasL.<span class="flyspell-duplicate">giac</span>}
-
-<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{texmaker XCasmpL.mp}
-
- <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost XCasmpL}
-
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span>
- <span class="font-latex-sedate">\includegraphics</span>{XCasmpL.<span class="font-latex-sedate">\theTVn</span>}
-<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{center}</span>
-<span class="font-latex-sedate">\stepcounter</span>{<span class="flyspell-duplicate">TVn</span>}
-}
-
-
+<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TS}</span><span class="comment">%
+</span>{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="keyword">\begin</span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCasL.user}}
+{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dresse</span>{L}}
+<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TS*}</span>[1]
+{<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVnbis}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVn</span></span><span class="variable-name">}</span>
+<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{#1}</span>
+<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="keyword">\begin</span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCasL.user}}
+{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{L}}
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTSc.giac}
maple_mode(0);
-<span class="flyspell-duplicate">read</span>("XcasTSc.cxx");
+read("XcasTSc.cxx");
Sortie:=fopen("XCasmpTSc.mp");
-vect.xcas.user := read("XCasTSc.user");
+<span class="flyspell-duplicate">vect</span>.xcas.user := read("XCasTSc.user");
vxo := vect.xcas.user;
dim.vxo := dim(vxo);
nbr.line.vxo := dim.vxo;
-<span class="flyspell-duplicate">Resultat</span>:=cat(" ");
-rslt := vxo[0]; RslT:=cat(rslt);
-Resultat:=cat(Resultat,RslT);
+Resultat:=cat(" ");
+<span class="flyspell-duplicate">rslt</span> := vxo[0]; RslT:=cat(rslt);
+<span class="flyspell-duplicate">Resultat</span>:=cat(Resultat,RslT);
fprint(Sortie,Unquoted,Resultat);
fclose(Sortie);
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
-<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TSc*}</span>
-{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCasTSc.user}}
-{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
- <span class="font-latex-sedate">\executGiacmp</span>{XCasTSc.<span class="flyspell-duplicate">giac</span>}
-
-<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="flyspell-duplicate">texmaker</span> XCasmpTSc.mp}
-
-
- <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost XCasmpTSc}
-
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span>
- <span class="font-latex-sedate">\includegraphics</span>{XCasmpTSc.<span class="font-latex-sedate">\theTVn</span>}
-<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{center}</span>
-<span class="font-latex-sedate">\stepcounter</span>{<span class="flyspell-duplicate">TVn</span>}
-}
-
-
-
-
-
-
-<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TSc}</span>
-{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCasTSc.user}}
-{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
- <span class="font-latex-sedate">\executGiacmp</span>{XCasTSc.giac}
-
- <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost XCasmpTSc}
-
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span>
- <span class="font-latex-sedate">\includegraphics</span>{XCasmpTSc.<span class="font-latex-sedate">\theTVn</span>}
-<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{center}</span>
-<span class="font-latex-sedate">\stepcounter</span>{TVn}
-}
+<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TSc*}</span>[1]<span class="comment">%
+</span>{<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVnbis}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVn</span></span><span class="variable-name">}</span>
+<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{</span><span class="variable-name"><span class="flyspell-duplicate">TVn</span></span><span class="variable-name">}{#1}</span>
+<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="keyword">\begin</span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCasTSc.user}}
+{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{TSc}}
+<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TSc}</span><span class="comment">%
+</span>{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="keyword">\begin</span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCasTSc.user}}
+{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dresse</span>{<span class="flyspell-duplicate">TSc</span>}}
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTV.giac}
maple_mode(0);
read("XcasTV.cxx");
Sortie:=fopen("XCasmpTV.mp");
-vect.xcas.user := read("XCasTV.user");
+<span class="flyspell-duplicate">vect</span>.xcas.user := read("XCasTV.user");
vxo := vect.xcas.user;
dim.vxo := dim(vxo);
-<span class="flyspell-duplicate">nbr</span>.line.vxo := dim.vxo;
+nbr.line.vxo := dim.vxo;
Resultat:=cat(" ");
-rslt := vxo[0]; RslT:=cat(rslt);
-Resultat:=cat(Resultat,RslT);
+<span class="flyspell-duplicate">rslt</span> := vxo[0]; RslT:=cat(rslt);
+<span class="flyspell-duplicate">Resultat</span>:=cat(Resultat,RslT);
fprint(Sortie,Unquoted,Resultat);
fclose(Sortie);
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
-<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TV}</span><span class="comment">%
-</span>{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCasTV.user}}<span class="comment">%
-</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="comment">%
-</span> <span class="font-latex-sedate">\executGiacmp</span>{XCasTV.giac}
- <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost XCasmpTV}
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span>
- <span class="font-latex-sedate">\includegraphics</span>{XCasmpTV.<span class="font-latex-sedate">\theTVn</span>}
-<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{center}</span>
-<span class="font-latex-sedate">\stepcounter</span>{<span class="flyspell-duplicate">TVn</span>}
-}
-
-
-
-
-<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TV*}</span><span class="comment">%
-</span>{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCasTV.user}}<span class="comment">%
-</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="comment">%
-</span> <span class="font-latex-sedate">\executGiacmp</span>{XCasTV.<span class="flyspell-duplicate">giac</span>}
-
-<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="flyspell-incorrect">texmaker</span> <span class="flyspell-duplicate">XCasmpTV</span>.<span class="flyspell-duplicate">mp</span>}
-
- <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost XCasmpTV}
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span>
- <span class="font-latex-sedate">\includegraphics</span>{XCasmpTV.<span class="font-latex-sedate">\theTVn</span>}
-<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{center}</span>
-<span class="font-latex-sedate">\stepcounter</span>{TVn}
-}
+<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TV</span></span><span class="function-name">}</span><span class="comment">%
+</span>{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="keyword">\begin</span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCasTV.user}}<span class="comment">%
+</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
+<span class="font-latex-sedate">\dresse</span>{TV}}
+<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TV</span></span><span class="function-name">*}</span>[1]{<span class="comment">%
+</span><span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVnbis}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVn</span></span><span class="variable-name">}</span>
+<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{#1}</span>
+<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="keyword">\begin</span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCasTV.user}}<span class="comment">%
+</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TV</span>}}
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVI.giac}
@@ -1197,43 +1578,30 @@ Resultat:=cat(" ");
rslt := vxo[0]; RslT:=cat(rslt);
Resultat:=cat(Resultat,RslT);
fprint(Sortie,Unquoted,Resultat);
-fclose(Sortie);
+<span class="flyspell-duplicate">fclose</span>(Sortie);
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVI}</span><span class="comment">%
-</span>{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCasTVI.user}}<span class="comment">%
-</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="comment">%
-</span> <span class="font-latex-sedate">\executGiacmp</span>{XCasTVI.<span class="flyspell-duplicate">giac</span>}
- <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost XCasmpTVI}
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span>
- <span class="font-latex-sedate">\includegraphics</span>{XCasmpTVI.<span class="font-latex-sedate">\theTVn</span>}
-<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{center}</span>
+</span>{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="keyword">\begin</span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCasTVI.user}}<span class="comment">%
+</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dresse</span>{<span class="flyspell-duplicate">TVI</span>}}
-<span class="font-latex-sedate">\stepcounter</span>{<span class="flyspell-duplicate">TVn</span>}
-}
-<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVI*}</span><span class="comment">%
-</span>{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCasTVI.user}}<span class="comment">%
-</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="comment">%
-</span> <span class="font-latex-sedate">\executGiacmp</span>{XCasTVI.<span class="flyspell-duplicate">giac</span>}
+<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVI*}</span>[1]<span class="comment">%
+</span>{<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVnbis}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVn</span></span><span class="variable-name">}</span>
+<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{#1}</span>
+<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="keyword">\begin</span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>&#163;&#181;]{XCasTVI.user}}<span class="comment">%
+</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{<span class="flyspell-duplicate">TVI</span>}}
-<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="flyspell-duplicate">texmaker</span> XCasmpTVI.mp}
- <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost XCasmpTVI}
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span>
- <span class="font-latex-sedate">\includegraphics</span>{XCasmpTVI.<span class="font-latex-sedate">\theTVn</span>}
-<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{center}</span>
-<span class="font-latex-sedate">\stepcounter</span>{<span class="flyspell-duplicate">TVn</span>}
-}
-<span class="comment-delimiter">%%</span><span class="comment">
-</span><span class="comment-delimiter">%% </span><span class="comment">Zi </span><span class="comment"><span class="flyspell-duplicate">end</span></span><span class="comment">
+<span class="comment">%%
+%% Zi end -&gt; </span><span class="comment"><span class="flyspell-incorrect">enjoy</span></span><span class="comment"> :)
</span></pre>
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