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+546.72919 -87.50601 lineto stroke 0.5 0 dtransform exch truncate exch idtransform pop setlinewidth newpath 0 0 moveto -0 -87.80002 lineto stroke -newpath 498.0848 0 moveto -498.0848 -87.80002 lineto stroke +0 -87.50601 lineto stroke +newpath 546.72919 0 moveto +546.72919 -87.50601 lineto stroke showpage %%EOF diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp index 757af64da23..559dd1f58ce 100644 --- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp +++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp @@ -2,7 +2,10 @@ input tableauVariation; verbatimtex %&latex \documentclass{article} -\usepackage[upright]{fourier} % ou mathpazo, lmodern, etc. ou rien ! +%\usepackage[upright]{fourier}% ou mathpazo, lmodern, etc. ou rien ! +\usepackage[boldsans]{ccfonts} +\usepackage{beton,euler} +\usepackage{luximono} \usepackage{amsmath} \renewcommand\mbox[1]{ #1 } % pour les mbox intempestifs de xcas \renewcommand\cdot{ } % idem pour les cdot @@ -117,7 +120,7 @@ val(btex $-1$ etex); val(btex $1$ etex); val(btex $+\infty $ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @varphi'(x)}$ etex);moins; debutNonDef;finNonDef;plus; +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @varphi'(x)}$ etex);moins; debutNonDefStrict;finNonDefStrict;plus; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @varphi}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $0$ etex,0);debutNonDef;finNonDef;limDroite(btex $0$ etex,0);valPos(btex $+\infty $ etex,1); endTableau; @@ -129,23 +132,23 @@ val(btex $4$ etex); val(btex $6$ etex); val(btex $+\infty $ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDef;finNonDef;plus;valBarre(btex 0 etex);moins;debutNonDef;finNonDef;plus; -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex$\ln\left(\frac{441}{16}\right)$etex,1);limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex $+\infty $ etex,1); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDefStrict;finNonDefStrict;plus;valBarre(btex 0 etex);moins;debutNonDefStrict;finNonDefStrict;plus; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDefStrict;finNonDefStrict;limDroite(btex $-\infty$ etex,0);valPos(btex$\ln\left(\frac{441}{16}\right)$etex,1);limGauche(btex $-\infty$ etex,0);debutNonDefStrict;finNonDefStrict;limDroite(btex $-\infty$ etex,0);valPos(btex $+\infty $ etex,1); endTableau; -beginTableau(10) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $\alpha_1$ etex);val(btex $-1$ etex);val(btex $0$ etex);val(btex $1$ etex);val(btex $\alpha_2$ etex);val(btex $+\infty $ etex); - -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus;valBarre(btex$ $ etex);plus; nonDefBarre;plus;valBarre(btex 0 etex);moins;nonDefBarre;moins;valBarre(btex $ $ etex);moins; +beginTableau(10) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $\alpha_1$ etex);val(btex $-1$ etex);val(btex $0$ etex);val(btex $\alpha_2$ etex);val(btex $1$ etex);val(btex $\alpha_3$ etex);val(btex $+\infty $ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus;valBarre(btex$ $ etex);plus; nonDefBarre;plus;valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;nonDefBarre;moins;valBarre(btex $ $ etex);moins; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); valPos(btex $\frac{100}{99}$ etex,0);valPos(btex $ 10 $ etex,0.5); limGauche(btex $+\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$ - etex,1);limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex + etex,1);valPos(btex + $ 10 $ etex,0.5); + limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $ 10 $ etex,0.5); valPos(btex $1$ etex,0); endTableau; beginTableau(11) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $-1$ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $\alpha_2$ etex);val(btex $1$ etex);val(btex $+\infty $ etex); - -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus; nonDefBarre;plus;valBarre(btex $ $ etex);plus;valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;nonDefBarre;moins; +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus; nonDefBarre;plus;valBarre(btex $ $ etex);plus;valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins;nonDefBarre;moins; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); valPos(btex $\frac{100}{99}$ etex,0); limGauche(btex $+\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $ -1 $ etex,0.5); @@ -410,8 +413,9 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle F(x)}$ etex); endTableau; - beginTableau(25) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $\alpha_2$ etex);val(btex $+\infty $ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;moins;valBarre(btex$ $ etex);moins; valBarre(btex 0 etex);plus;valBarre(btex $ $ etex);plus; + +beginTableau(25) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $\alpha_2$ etex);val(btex $+\infty $ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;moins;valBarre(btex$ $ etex);moins; valBarre(btex 0 etex);plus;valBarre(btex $ $ etex);plus; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $ 2 $ etex,0.5); valPos(btex $-1$ etex,0);valPos(btex @@ -419,7 +423,7 @@ nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $ 2 $ etex,0.5); valPo endTableau; beginTableau(26) newLigneVariables(btex $x$ etex);val(btex $\frac{-1}{2}$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); moins; valBarre(btex 0 etex);plus;valBarre(btex $ $ etex);plus; +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); moins; valBarre(btex 0 etex);plus;valBarre(btex $ $ etex);plus; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); valPos(btex $\frac{1}{4}$ etex,1); valPos(btex $0$ etex,0);valPos(btex @@ -427,7 +431,7 @@ valPos(btex $\frac{1}{4}$ etex,1); valPos(btex $0$ endTableau; beginTableau(27) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @ln'(x)}$ etex);nonDefBarre;plus;valBarre(btex$ $ etex);plus; +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @ln'(x)}$ etex);nonDefBarre;plus;valBarre(btex$ $ etex);plus; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @ln}$ etex); nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1); endTableau; @@ -440,7 +444,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle -@ln}$ etex) endTableau; beginTableau(30) newLigneVariables(btex $x$ etex);val(btex $-\pi $ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $\alpha_2$ etex);val(btex $\pi $ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @cos'(x)}$ etex);valBarre(btex 0 etex);plus;valBarre(btex$ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins; +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @cos'(x)}$ etex);valBarre(btex 0 etex);plus;valBarre(btex$ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @cos}$ etex); valPos(btex $-1$ etex,0);valPos(btex $ 1/2 $ etex,0.5); valPos(btex $1$ etex,1);valPos(btex @@ -458,14 +462,13 @@ valPos(btex $1$ etex,1); endTableau; beginTableau(32) newLigneVariables(btex $t$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\frac{\pi }{2}$ etex);val(btex $\pi $ etex); - -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @tan'(t)}$ etex); plus;valBarre(btex$ $ etex);plus; nonDefBarre;plus; +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @tan'(t)}$ etex); plus;valBarre(btex$ $ etex);plus; nonDefBarre;plus; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle @tan}$ etex); valPos(btex $0$ etex,0);valPos(btex $ 7 $ etex,0.5); limGauche(btex $+\infty $ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$ etex,1); endTableau; beginTableau(33) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $\alpha_1$ etex);val(btex $\frac{-1}{2}$ etex);val(btex $\alpha_2$ etex);val(btex $1$ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus;valBarre(btex$ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins; +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); plus;valBarre(btex$ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); valPos(btex $0$ etex,0);valPos(btex $ 1 $ etex,0.5); valPos(btex $\frac{3 \sqrt{3}}{4}$ etex,1);valPos(btex @@ -524,7 +527,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle G(x)}$ etex); endTableau; beginTableau(36) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);val(btex $-3$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus;valBarre(btex $ $ etex);plus; +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus;valBarre(btex $ $ etex);plus; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); valPos(btex $-1$ etex,1); valPos(btex $-\left(e^{-4}\right)-1$ etex,0);valPos(btex @@ -532,7 +535,7 @@ valPos(btex $-1$ etex,1); valPos(btex $-\left(e^{-4}\right)-1$ endTableau; beginTableau(37) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins; +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); valPos(btex $1$ etex,0); valPos(btex $2$ etex,1);valPos(btex @@ -549,13 +552,13 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);va endTableau; beginTableau(40) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\pi $ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); moins;valBarre(btex$ $ etex);moins; +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); moins;valBarre(btex$ $ etex);moins; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); valPos(btex $1$ etex,1);valPos(btex $ 0 $ etex,0.5);valPos(btex $-\pi -1$ etex,0); endTableau; beginTableau(41) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $e^{\frac{1}{2}}$ etex);val(btex $\alpha_2$ etex);val(btex $+\infty $ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;plus;valBarre(btex$ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins; +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;plus;valBarre(btex$ $ etex);plus; valBarre(btex 0 etex);moins;valBarre(btex $ $ etex);moins; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex); nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $ -1 $ etex,0.5); valPos(btex $\frac{1}{4}$ etex,1);valPos(btex @@ -579,7 +582,7 @@ val(btex $1$ etex); val(btex $\sqrt{2}$ etex); val(btex $+\infty $ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus;debutNonDef;finNonDef;moins;valBarre(btex 0 etex);plus; +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; valBarre(btex 0 etex);plus;debutNonDefStrict;finNonDefStrict;moins;valBarre(btex 0 etex);plus; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); valPos(btex$-2$etex,0);limGauche(btex $0$ etex,1);debutNonDef;finNonDef;limDroite(btex $0$ etex,1);valPos(btex$-2$etex,0);valPos(btex $+\infty $ etex,1); endTableau; @@ -588,8 +591,8 @@ val(btex $-1$ etex); val(btex $1$ etex); val(btex $+\infty $ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDef;finNonDef;plus; -newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex $+\infty $ etex,1); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDefStrict;finNonDefStrict;plus; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $-\infty$ etex,0);debutNonDefStrict;finNonDefStrict;limDroite(btex $-\infty$ etex,0);valPos(btex $+\infty $ etex,1); endTableau; beginTableau(45) newLigneVariables(btex $t$ etex);val(btex $0$ etex); @@ -640,7 +643,7 @@ val(btex $4$ etex); val(btex $6$ etex); val(btex $+\infty $ etex); -newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDef;finNonDef;plus;valBarre(btex 0 etex);moins;debutNonDef;finNonDef;plus; +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDefStrict;finNonDefStrict;plus;valBarre(btex 0 etex);moins;debutNonDefStrict;finNonDefStrict;plus; newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $\sqrt{35}$ etex,0);debutNonDef;finNonDef;limDroite(btex $\sqrt{15}$ etex,0);valPos(btex$\sqrt{21}$etex,1);limGauche(btex $\sqrt{15}$ etex,0);debutNonDef;finNonDef;limDroite(btex $\sqrt{35}$ etex,0);valPos(btex $+\infty $ etex,1); endTableau; @@ -690,4 +693,9 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f (x)}$ etex); endTableau; - \ No newline at end of file + beginTableau(50) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $+\infty $ etex); +newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g''(x)}$ etex);nonDefBarre;moins;valBarre(btex$ $ etex);moins; nonDefBarre;plus; +newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g'}$ etex); +nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $ 0 $ etex,0.5); limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$ etex,1); +endTableau; + diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.html b/Master/texmf-dist/doc/latex/tablor/tablor.html index 7841bf6b493..11f73791c5a 100644 --- a/Master/texmf-dist/doc/latex/tablor/tablor.html +++ b/Master/texmf-dist/doc/latex/tablor/tablor.html @@ -87,7 +87,7 @@ 
 \NeedsTeXFormat{LaTeX2e}[1995/12/01]
-\ProvidesPackage{tablor}[29/01/2009 v4.02c la machine a creer des tableaux de signes et variations]
+\ProvidesPackage{tablor}[07/02/2009 v4.03 la machine a creer des tableaux de signes et variations]
 
 % \copyleft Connan le Barbare (aka Guillaume Connan) \copyright
 % This work may be distributed and/or mofified under the conditions
@@ -95,7 +95,7 @@
 % any later version. The latest version is in
 %   http://www.latex-project.org/lppl/
 % This work consists of the files tablor.sty, tablor-xetex.sty,  tablor.cfg, tablor.tex,
-% tablor.pdf and tablor.html
+% tablor.pdf and tablor.html
 
 
 %% Cree 16 environnements :
@@ -187,13 +187,13 @@
 \RequirePackage{fancyvrb}
 \RequirePackage{ifpdf}
 
-\fvset{gobble=0}
+\fvset{gobble=0}
 
 % option xcas present 
 
 
 \newboolean{xcas}\setboolean{xcas}{false}
-\DeclareOption{xcas}{\setboolean{xcas}{true}}
+\DeclareOption{xcas}{\setboolean{xcas}{true}}
 
 
 \ProcessOptions\relax
@@ -225,7 +225,7 @@
 
 
 
-%% pour ceux compilant via pdflatex
+%% pour ceux compilant via pdflatex
 
 \ifpdf
 \DeclareGraphicsRule{*}{mps}{*}{}
@@ -239,12 +239,12 @@
 
 
 
-%% Pour clore les fichiers metapost 
+%% Pour clore les fichiers metapost 
 
 
   \begin{VerbatimOut}{queue.mp}
   
-  end
+  end
 
   \end{VerbatimOut}
 
@@ -273,19 +273,19 @@
 \newcounter{TVn}
 \newcommand{\tv}{\theTVn}
 
-\newcounter{TVnbis}
+\newcounter{TVnbis}
 \newcommand{\tvbis}{\theTVnbis}
 
 
 
 %% permet de donner un prefixe aux tableaux produits (\jobname par defaut)
-%% effectue quelques verifications :
+%% effectue quelques verifications :
 
 
 \newcommand{\initablor}[1][\jobname]{%
 \renewcommand{\nomtravail}{#1}%     Arret du nom des tableaux
 \setcounter{TVn}{0}%     Initialisation du compteur de tableaux.
-\ifthenelse{\boolean{xcas}}%    Avec l'option XCas
+\ifthenelse{\boolean{xcas}}%    Avec l'option XCas
 {\IfFileExists{\nomtravail.Tab.mp}%      Si Tableaux.mp est present...
         {\immediate\write18{\rem \nomtravail.Tab.mp}}%  le detruire
         {}%   
@@ -296,18 +296,18 @@
 {\immediate\write18{mpost -interaction=batchmode \nomtravail.Tab}}% l'executer pour reconstituer les figures
 {\PackageWarning{tablor}{Pas de source metapost pour creer les tableaux.}}% sinon message d'erreur
                                 % (mais pas d'arret car les tableaux
-                                % peuvent être presents )
+                                % peuvent être presents )
 }}%
 
 
 
-%% commande pour lancer giac selon l'OS
+%% commande pour lancer giac selon l'OS
 
 \makeatletter
 \newcommand{\executGiacmp}[1]{%
 \ifthenelse{\boolean{windows}}%
-{\immediate\write18{giac #1 }}%
-{\immediate\write18{giac  <#1 }}}
+{\immediate\write18{giac #1 }}%
+{\immediate\write18{giac  <#1 }}}
 \makeatother
 
 
@@ -331,19 +331,19 @@
 TV(L,F,nom,nomv,f,ftt,trigo,nmr):={
 nl:=size(L);
 f:=unapply(f,x);
-fp:=function_diff(f);
+fp:=function_diff(f);
 Z:=concat(L,F);
 S:=[];
 
 
 if(trigo==t){
-all_trig_solutions:=1;
-reset_solve_counter(-1,-1);
+all_trig_solutions:=1;
+reset_solve_counter(-1,-1);
 SS:=solve(factor(simplify(fp(x))),x);
 ns:=size(SS);
 for(k:=0;k<ns;k++){
 m:=0;
-while(evalf(simplify(subst(SS[k],n_1=m)))<=evalf(L[nl-1])){
+while(evalf(simplify(subst(SS[k],n_1=m)))<=evalf(L[nl-1])){
 S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m+1;
 };m:=-1;
 while(evalf(subst(SS[k],n_1=m))>=L[0]){
@@ -359,10 +359,10 @@ S:=solve(fp(x),x);
                              qq:=member(simplify(S[j]),Z)==0;
                              kk:=(evalf(S[j])>=evalf(L[0])) and (evalf(S[j])<=evalf(L[nl-1]));
                           if(kk==1){if(qq==1){Z:=append(Z,simplify(S[j]))}};
-                          fpour
+                          fpour
   fsi;
 Z:=sort(Z);
-nz:=size(Z);
+nz:=size(Z);
 
 
  tantque evalf(Z[0])==evalf(Z[1]) faire Z:=Z[1..nz-1];nz:=size(Z);
@@ -382,19 +382,19 @@ nz:=size(Z);
 
 Z:=sort(Z); 
 nz:=size(Z);
- si Z[0]==Z[1] alors Z:=augment(Z[0],Z[2..nz-1]);nz:=nz-1; 
+ 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; 
+     si Z[u]==Z[u+1] alors Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=nz-1; 
      fsi;
 fpour;
 nz:=size(Z);
 l0:=" newLigneVariables(btex $"+nomv+"$ etex);";lp:=" "; lf:=" ";lsp:=" ";
 pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
-";fpour; 
+";fpour; 
 
        k0:= evalf(limit(f(x),x=Z[0],1))> evalf(limit(f(x),x=Z[1],-1));
-       kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1));
+       kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1));
                           
 lsi:=lsic+nom+"'("+nomv+")}$ etex);"+
      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){
@@ -428,14 +428,14 @@ lm0:=limit(f(x),x=Z[0],1)==-infinity;
 "}}}
                                                    }; }
 
-lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
+lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
                           
 
 
-lf:=if(member(Z[nz-1],F)==0){"valPos(btex $"+
+lf:=if(member(Z[nz-1],F)==0){"valPos(btex $"+
            if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$ etex,"+
              if(kz==1){"1);"}else{"0);"}}
-    else{"limGauche(btex $"+
+    else{"limGauche(btex $"+
          if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$ etex,"+ 
            if(kz==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};    
     
@@ -513,7 +513,7 @@ fprint(sortie,Unquoted,MetaLfc);
 
 %
 %
-%  TVPC : pour les fonctions prolongeables par continuité.
+%  TVPC : pour les fonctions prolongeables par continuité.
 %%
 %%
 
@@ -532,7 +532,7 @@ S:=[];
 
 if(trigo==t){
 all_trig_solutions:=1;
-reset_solve_counter(-1,-1);
+reset_solve_counter(-1,-1);
 SS:=solve(factor(simplify(fp(x))),x);
 ns:=size(SS);
 for(k:=0;k<ns;k++){
@@ -560,7 +560,7 @@ nz:=size(Z);
 
 
  tantque evalf(Z[0])==evalf(Z[1]) faire Z:=Z[1..nz-1];nz:=size(Z);
-     ftantque;
+     ftantque;
 
 
 
@@ -571,7 +571,7 @@ nz:=size(Z);
   si size(S)>0 alors   pour j de 0 jusque size(S)-1 faire 
                              kk:=(evalf(S[j])>=evalf(L[0])) and (evalf(S[j])<=evalf(L[nl-1]));
                           if(kk==1){Z:=append(Z,simplify(S[j]))};
-                          fpour
+                          fpour
   fsi;
 
 Z:=sort(Z); 
@@ -590,7 +590,7 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+
        k0:= evalf(limit(f(x),x=Z[0],1))> evalf(limit(f(x),x=Z[1],-1));
        kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1));
                           
-lsi:=lsic+nom+"'("+nomv+")}$ etex);"+
+lsi:=lsic+nom+"'("+nomv+")}$ etex);"+
      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],FP)==0){
                                                     if(fp(Z[0])==0){"valBarre(btex 0 etex);"}else{" "}+
                                                     if(sign(fp(Z[0]+10^(-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
@@ -601,7 +601,7 @@ if(nz>2){ for(r:=1; r<=nz-2;r++){      ksp:=evalf(fp(Z[r]+0.1))>0;
                                                 if(ksp==1){"plus;"}else{"moins;"}
                                                   }; }
 
-lsf:=if(member(Z[nz-1],FP)==0){""}else{"nonDefBarre;
+lsf:=if(member(Z[nz-1],FP)==0){""}else{"nonDefBarre;
 "}
 lm0:=limit(f(x),x=Z[0],1)==-infinity;
      li:=lvic+nom+"}$ etex);"+
@@ -622,16 +622,16 @@ lm0:=limit(f(x),x=Z[0],1)==-infinity;
 "}}}
                                                    }; }
 
-lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
+lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
                           
 
 
 lf:=if(member(Z[nz-1],F)==0){"valPos(btex $"+
-           if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$ etex,"+
+           if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$ etex,"+
              if(kz==1){"1);"}else{"0);"}}
     else{"limGauche(btex $"+
          if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$ etex,"+ 
-           if(kz==1){"1);"}else{"0);"}};    
+           if(kz==1){"1);"}else{"0);"}};    
     
 
 
@@ -639,15 +639,15 @@ lf:=if(member(Z[nz-1],F)==0){"valPos(btex $"+
 
 MetaLfc:=if(ftt==2){if(nz>2){"
 
-beginTableau("+nmr+")"+
+beginTableau("+nmr+")"+
         l0+lsi+lsp+lsf+"
 endTableau;
 
 ";}else{
-intro+"beginTableau("+nmr+")"+
+intro+"beginTableau("+nmr+")"+
         l0+
 lsi+lsf+"
-endTableau;
+endTableau;
 
 ";
 }
@@ -657,32 +657,32 @@ li+
 lp+
 lf
 +"
-endTableau;
+endTableau;
 
 ";}else{"beginTableau("+nmr+")"+
         l0+
 li+
-lf
+lf
 +"
 endTableau;
 
 ";}}else{
 if(nz>2){"beginTableau("+nmr+")"+
         l0+
-lsi+lsp+lsf+
+lsi+lsp+lsf+
 li+
 lp+
 lf
 +"
-endTableau;
+endTableau;
 
 ";}else{"beginTableau("+nmr+")"+
         l0+
 lsi+lsf+
 li+
-lf
+lf
 +"
-endTableau;
+endTableau;
 
 ";}
 }}
@@ -714,12 +714,12 @@ fclose(sortie);
 %% par exemple, pour sqrt(x^2-1) : TVZ([-infinity,100],[],[[-1,1]],"f","x",sqrt(x^2-1),1,1)
 %%
 
-\begin{VerbatimOut}{XcasTVZ.cxx}
+\begin{VerbatimOut}{XcasTVZ.cxx}
 
 
-TVZ(L,F,FF,nom,nomv,f,ftt,trigo,nmr):={
-nl:=size(L);
-nf:=size(FF);
+TVZ(L,F,FF,nom,nomv,f,ftt,trigo,nmr):={
+nl:=size(L);
+nf:=size(FF);
  Ff:=NULL;IMIN:=NULL;IMAX:=NULL;
 for(k:=0;k<nf;k++){
 if(FF[k][0]>L[0]){Imin[k]:=FF[k][0];LL:=L}else{Imin[k]:=L[0];LL:=[L[1]]};
@@ -728,9 +728,9 @@ if(FF[k][1]<L[1]){Imax[k]:=FF[k][1];LL:=L}else{Imax[k]:=L[1];LL:=[L[0]]};
  IMIN:=IMIN,Imin[k];
  IMAX:=IMAX,Imax[k];
  }
- FF:=[Ff];
- IMIN:=[IMIN];
- IMAX:=[IMAX];
+ FF:=[Ff];
+ IMIN:=[IMIN];
+ IMAX:=[IMAX];
  f:=unapply(f,x);
 fp:=function_diff(f);
 Z:=concat(LL,F);
@@ -743,13 +743,13 @@ S:=[];
 
 
 if(trigo==t){
-all_trig_solutions:=1;
+all_trig_solutions:=1;
 reset_solve_counter(-1,-1);
-SS:=solve(factor(simplify(fp(x))),x);
+SS:=solve(factor(simplify(fp(x))),x);
 ns:=size(SS);
 for(k:=0;k<ns;k++){
 m:=0;
-while(evalf(simplify(subst(SS[k],n_1=m)))<=evalf(L[nl-1])){
+while(evalf(simplify(subst(SS[k],n_1=m)))<=evalf(L[nl-1])){
 S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m+1;
 };m:=-1;
 while(evalf(subst(SS[k],n_1=m))>=L[0]){
@@ -767,7 +767,7 @@ S:=solve(fp(x),x);
 
   si size(S)>0 alors   pour j de 0 jusque size(S)-1 faire 
                          for(k:=0;k<nf;k++){  
-                           kk:=(evalf(S[j])>=evalf(L[0])) and (evalf(S[j])<=evalf(L[nl-1]));
+                           kk:=(evalf(S[j])>=evalf(L[0])) and (evalf(S[j])<=evalf(L[nl-1]));
                              kK:=(evalf(S[j])<evalf(Imin[k])) or (evalf(S[j])>evalf(Imax[k]));
                              Kk:=(kk) and kK;
                           if(Kk==1){Z:=append(Z,simplify(S[j]))};
@@ -783,7 +783,7 @@ 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; 
+     si Z[u]==Z[u+1] alors Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=nz-1; 
      fsi;
 fpour;
 nz:=size(Z);
@@ -797,14 +797,14 @@ for(j:=0;j<nf;j++){
 nz:=size(Z);
 
 l0:=" newLigneVariables(btex $"+nomv+"$ etex);";lp:=" "; lf:=" ";lsp:=" ";
-pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
+pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
 ";fpour; 
 
        k0:= evalf(limit(f(x),x=Z[0],1))> evalf(limit(f(x),x=Z[1],-1));
        kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1));
                           
-lsi:=lsic+nom+"'("+nomv+")}$ etex);"+
-if(member(Z[0],IMIN)!=0){"debutNonDef;"}else{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){
+lsi:=lsic+nom+"'("+nomv+")}$ etex);"+
+if(member(Z[0],IMIN)!=0){if((member(Z[0],F)==0) and (fp(Z[0])!=undef)){"debutNonDef;"}else{"debutNonDefStrict;"}}else{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^(-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
                                                          if(sign(fp((Z[0]+10^(-5))))==1){"plus;"}else{"moins;"} }}}
@@ -812,23 +812,23 @@ if(member(Z[0],IMIN)!=0){"debutNonDef;"}else{if(Z[0]==-infinity){if(sign(evalf(f
 
 
 if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))>0; 
-                                               lsp:=lsp+if(member(Z[r],IMIN)!=0){"debutNonDef;"}else{
-                                                       if(member(Z[r],IMAX)!=0){"finNonDef;"+
-                                                if(ksp==1){"plus;"}else{"moins;"}}else{
-                                                 if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
+                                               lsp:=lsp+if(member(Z[r],IMIN)!=0){if((member(Z[r],F)==0) and (fp(Z[r])!=undef)){"debutNonDef;"}else{"debutNonDefStrict;"}}else{
+                                                       if(member(Z[r],IMAX)!=0){if((member(Z[r],F)==0) and (fp(Z[r])!=undef)){"finNonDef;"}else{"finNonDefStrict;"}+
+                                                if(ksp==1){"plus;"}else{"moins;"}}else{
+                                                 if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
                                                 if(ksp==1){"plus;"}else{"moins;"}
                                                   }}}}; 
 
 
 
-lsf:=if(member(Z[0],IMAX)!=0){"finNonDef;"}else{if(member(Z[nz-1],F)==0){""}else{"nonDefBarre;
+lsf:=if(member(Z[nz-1],IMAX)!=0){if((member(Z[nz-1],F)==0) and (fp(Z[nz-1])!=undef)){"finNonDef;"}else{"finNonDefStrict;"}}else{if(member(Z[nz-1],F)==0){""}else{"nonDefBarre;
 "}}
 
 
-lm0:=limit(f(x),x=Z[0],1)==-infinity;
+lm0:=limit(f(x),x=Z[0],1)==-infinity;
      li:=lvic  +nom+"}$ etex);"+
            if(member(Z[0],F)==0){"valPos(btex $"+if(lm0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$ etex,"}
-             else{"nonDefBarre;limDroite(btex $"+if(lm0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$ etex,"}+                               
+             else{"nonDefBarre;limDroite(btex $"+if(lm0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$ etex,"}+                               
            if(k0==1){"1"}else{"0"}+
                          ");";
             
@@ -838,51 +838,50 @@ if(nz>2){
      krp:=evalf(limit(f(x),x=Z[r],1))> evalf(limit(f(x),x=Z[r+1],-1)) ;  
      lmrm:=limit(f(x),x=Z[r],-1)==-infinity;lmrp:=limit(f(x),x=Z[r],1)==-infinity;
 
-     lp:=lp+if(member(Z[r],IMIN)!=0){"limGauche(btex $"+if(lmrm==1){
+     lp:=lp+if(member(Z[r],IMIN)!=0){"limGauche(btex $"+if(lmrm==1){
              "-\\infty"}else{
                 latex(simplify(limit(f(x),x=Z[r],-1)))}
-         +"$ etex,"+if(krm==1){
-             "1);"}else{"0);"}
-         +"debutNonDef;"
-       }//fsi Zr=Imin
-      else{
-        if (member(Z[r],IMAX)!=0) {"finNonDef;limDroite(btex $"+if(lmrp==1){
+         +"$ etex,"+if(krm==1){
+             "1);"}else{"0);"} 
+         +if(member(Z[r],F)==0){"debutNonDef;"}else{"debutNonDefStrict;"}
+       }//fsi Zr=Imin
+      else{
+        if (member(Z[r],IMAX)!=0){if(member(Z[r],F)==0){"finNonDef;"}else{"finNonDefStrict;"}+"limDroite(btex $"+if(lmrp==1){
              "-\\infty"}else{latex(simplify(limit(f(x),x=Z[r],1)))}
-         +"$ etex,"+if(krp==1){
-             "1);"}else{"0);"}          
-       }
-        else {
-          if(member(Z[r],F)){
-         "limGauche(btex $"+if(lmrm==1){
+         +"$ etex,"+if(krp==1){
+             "1);"}else{"0);"}          
+       }else{
+          if(member(Z[r],F)){
+         "limGauche(btex $"+if(lmrm==1){
              "-\\infty"}else{
                 latex(simplify(limit(f(x),x=Z[r],-1)))}
-         +"$ etex,"+if(krm==1){
-             "1);"}else{"0);"}
-         +"nonDefBarre;limDroite(btex $"+if(lmrp==1){
+         +"$ etex,"+if(krm==1){
+             "1);"}else{"0);"}
+         +"nonDefBarre;limDroite(btex $"+if(lmrp==1){
              "-\\infty"}else{latex(simplify(limit(f(x),x=Z[r],1)))}
-         +"$ etex,"+if(krp==1){
-             "1);"}else{"0);"}
-         }//fsi (member Zr F)
-          else{"valPos(btex$"+latex(simplify(f(Z[r])))+"$etex,"+
+         +"$ etex,"+if(krp==1){
+             "1);"}else{"0);"}
+         }//fsi (member Zr F)
+          else{"valPos(btex$"+latex(simplify(f(Z[r])))+"$etex,"+
              if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){
                "0.5);"}else{
-                    if(krp==1){
-                       "1);"}else{"0);"}//felse(krp)
-                    }//felse(valpos)
+                    if(krp==1){
+                       "1);"}else{"0);"}//felse(krp)
+                    }//felse(valpos)
                }//felse(member Zr F)
-               } //felse(Zr=Imax)
+               } //felse(Zr=Imax)
               }//felse(Zr=Imin)
-           };//ffor 
-         }//fsi nz
+           };//ffor 
+         }//fsi nz
 
-lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
+lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
 
 
 
-lf:=if(member(Z[nz-1],F)==0){"valPos(btex $"+
+lf:=if(member(Z[nz-1],F)==0){"valPos(btex $"+
            if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$ etex,"+
-             if(kz==1){"1);"}else{"0);"}}
-    else{"limGauche(btex $"+
+             if(kz==1){"1);"}else{"0);"}}
+    else{"limGauche(btex $"+
          if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$ etex,"+ 
            if(kz==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};    
     
@@ -890,14 +889,14 @@ lf:=if(member(Z[nz-1],F)==0){"valPos(btex $"+
 
     
 
-MetaLfc:=if(ftt==2){if(nz>2){"
+MetaLfc:=if(ftt==2){if(nz>2){"
 
 beginTableau("+nmr+")"+
         l0+lsi+lsp+lsf+"
 endTableau;
 
 ";}else{
-intro+"beginTableau("+nmr+")"+
+intro+"beginTableau("+nmr+")"+
         l0+
 lsi+lsf+"
 endTableau;
@@ -908,7 +907,7 @@ lsi+lsf+"
         l0+
 li+
 lp+
-lf
+lf
 +"
 endTableau;
 
@@ -959,7 +958,7 @@ fclose(sortie);
 
 
 
-\begin{VerbatimOut}{XcasTVapp.cxx}
+\begin{VerbatimOut}{XcasTVapp.cxx}
 
 
 
@@ -972,7 +971,7 @@ TVapp(L,F,nom,nomv,f,ftt,nmr):={
 
 nl:=size(L);
 f:=unapply(f,x);
-fp:=function_diff(f);
+fp:=function_diff(f);
 z0:=concat(L,F);z:=sort(z0);
 nz:=size(z);
 
@@ -983,7 +982,7 @@ nz:=size(z);
 
 S:=NULL;
 if(L==[-infinity,+infinity]){j:=[seq(-100+k,k=0..200)]minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for}
-else{if(L[0]==-infinity){j:=[seq(k,k=100..floor(L[1]))] minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for}
+else{if(L[0]==-infinity){j:=[seq(k,k=100..floor(L[1]))] minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for}
 else{if(L[1]==+infinity){j:=[seq(k,k=floor(L[0])..100)] minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for;}
 else{ j:=[seq(k,k=floor(z[0])..floor(z[nz-1]))] minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for;  }}};
 
@@ -995,7 +994,7 @@ si size(S)>0 alors   pour j de 0 jusque size(S)-1 faire
                              kk:=(re(S[j])==S[j]);kok:=(evalf(S[j])>=L[0]) and (evalf(S[j])<=L[1]);
                           if(kk==1){if(kok==1){z:=append(z,simplify(S[j]))}};
                           fpour;
-fsi;
+fsi;
 
 
 S:=NULL;
@@ -1020,7 +1019,7 @@ Z:=[S];
 
 nz:=size(Z);
 l0:=" newLigneVariables(btex $"+nomv+"$ etex);";lp:=" "; lf:=" ";lsp:=" ";
-pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
+pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
 ";fpour; 
 
        k0:= evalf(limit(f(x),x=Z[0],1))> evalf(limit(f(x),x=Z[1],-1));
@@ -1037,7 +1036,7 @@ if(nz>2){ for(r:=1; r<=nz-2;r++){      ksp:=evalf(fp(Z[r]+0.01))>0;
                                                 if(ksp==1){"plus;"}else{"moins;"}
                                                   }; }
 
-lsf:=if(member(Z[nz-1],F)==0){""}else{"nonDefBarre;
+lsf:=if(member(Z[nz-1],F)==0){""}else{"nonDefBarre;
 "}
 lm0:=limit(f(x),x=Z[0],1)==-infinity;
      li:=lvic+nom+"}$ etex);"+
@@ -1050,35 +1049,35 @@ lm0:=limit(f(x),x=Z[0],1)==-infinity;
                                                  krp:=evalf(limit(f(x),x=Z[r],1))> evalf(limit(f(x),x=Z[r+1],-1)) ;  
                          lmrm:=limit(f(x),x=Z[r],-1)==-infinity;lmrp:=limit(f(x),x=Z[r],1)==-infinity;
                                                   lp:=lp+if(member(Z[r],F)){
-                                    "limGauche(btex $"+if(lmrm==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[r],-1)))}+"$ etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex $"+if(lmrp==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[r],1)))}+"$ etex,"+if(krp==1){"1);"}else{"0);"}}
+                                    "limGauche(btex $"+if(lmrm==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[r],-1)))}+"$ etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex $"+if(lmrp==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[r],1)))}+"$ etex,"+if(krp==1){"1);"}else{"0);"}}
                                           else{"valPos(btex          $"+latex(simplify(f(Z[r])))+"$
                                             etex,"+if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);
 "}}}
                                                    }; }
 
-lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
+lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
  
 
 lf:=if(member(Z[nz-1],F)==0){"valPos(btex $"+
            if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$ etex,"+
              if(kz==1){"1);"}else{"0);"}}
-    else{"limGauche(btex $"+
+    else{"limGauche(btex $"+
          if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$ etex,"+ 
            if(kz==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};    
     
 
 
-MetaLfc:=if(ftt==2){if(nz>2){"
+MetaLfc:=if(ftt==2){if(nz>2){"
 
 beginTableau("+nmr+")"+
         l0+lsi+lsp+lsf+"
-endTableau;
+endTableau;
 
 ";}else{
 intro+"beginTableau("+nmr+")"+
         l0+
 lsi+lsf+"
-endTableau;
+endTableau;
 
 ";
 }
@@ -1086,7 +1085,7 @@ lsi+lsf+"
         l0+
 li+
 lp+
-lf
+lf
 +"
 endTableau;
 
@@ -1103,7 +1102,7 @@ if(nz>2){"beginTableau("+nmr+")"+
 lsi+lsp+lsf+
 li+
 lp+
-lf
+lf
 +"
 endTableau;
 
@@ -1113,7 +1112,7 @@ lsi+lsf+
 li+
 lf
 +"
-endTableau;
+endTableau;
 
 ";}
 }}
@@ -1142,14 +1141,14 @@ fclose(sortie);
 
 %%
 %% Code giac/Xcas pour les Tableaux de Variations avec 
-%% Valeurs intermediaires
+%% Valeurs intermediaires
 %%
 
 
 
 
 
-\begin{VerbatimOut}{XcasTVI.cxx}
+\begin{VerbatimOut}{XcasTVI.cxx}
 
 
 TVI(L,F,nom,nomv,f,ftt,ao,trigo,nmr):={
@@ -1218,10 +1217,10 @@ if(NL>nz){for(k:=0;k<NL-1;k++){TestS:=(evalf(sign(LL[k]-ao))==evalf(sign(L
   
 if(PB[k]==1){if(TestS==0){
    A:=A,aa;l0:=l0+"val(btex $"+latex(Z[kk])+"$ etex);"+"val(btex $\\alpha_"+aa+"$ etex);";aa:=aa+1;kk:=kk+1}
-else{l0:=l0+"val(btex $"+latex(Z[kk])+"$ etex);";kk:=kk+1}};
+else{l0:=l0+"val(btex $"+latex(Z[kk])+"$ etex);";kk:=kk+1}};
 }
 
- l0:=l0+"val(btex $"+latex(Z[nz-1])+"$ etex);"
+ l0:=l0+"val(btex $"+latex(Z[nz-1])+"$ etex);"
 
  };
 
@@ -1230,7 +1229,7 @@ TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))=
        k0:= evalf(limit(f(x),x=Z[0],1))> evalf(limit(f(x),x=Z[1],-1));
        kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1));
                           
-lsi:=lsic+nom+"'("+nomv+")}$ etex);"+
+lsi:=lsic+nom+"'("+nomv+")}$ etex);"+
      if(Z[0]==-infinity){if(evalf(sign(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^(-3))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
@@ -1245,27 +1244,27 @@ if(nz>2){rr:=1; if(nz==NL){for(r:=1; r<=NL-2;r++){ TestS:=(evalf(sign(LL[r
                                  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 $  $ etex);"}else{" "}+if(TestS==0){if(ksp==1){"plus;"}else{"moins;"}}else{" "};
                                           }}  
-else{for(r:=1; r<=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))>0;TestS:=(evalf(sign(LL[r]-ao))==evalf(sign(LL[r+1]-ao))) or (evalf(sign(LL[r]-ao))==0.0)or (evalf(sign(LL[r+1]-ao))==0.0);
+else{for(r:=1; r<=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))>0;TestS:=(evalf(sign(LL[r]-ao))==evalf(sign(LL[r+1]-ao))) or (evalf(sign(LL[r]-ao))==0.0)or (evalf(sign(LL[r+1]-ao))==0.0);
                                          
-                      if(PB[r]==1){if(TestS==0){lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
+                      if(PB[r]==1){if(TestS==0){lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
                                   if(kspp==1){"plus;"}else{"moins;"}+"valBarre(btex $  $ etex);"+if(kspp==1){"plus;"}else{"moins;"};rr:=rr+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;}        
+                                    else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
+                                  if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;}        
 }}}}; 
 
 
 
 
- lsf:=if(member(Z[nz-1],F)==0){" "}else{"nonDefBarre;"}
+ lsf:=if(member(Z[nz-1],F)==0){" "}else{"nonDefBarre;"}
 
 
 
-lm0:=limit(f(x),x=Z[0],1)==-infinity;
+lm0:=limit(f(x),x=Z[0],1)==-infinity;
 
 
 
 
-TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))==0.0) or (evalf(sign(LL[1]-ao))==0.0);
+TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))==0.0) or (evalf(sign(LL[1]-ao))==0.0);
 
      li:=lvic+nom+"}$ etex);
 "+  if(member(Z[0],F)==0){"valPos(btex $"+if(lm0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$ etex,"}
@@ -1290,35 +1289,35 @@ TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))=
                          lmrm:=limit(f(x),x=Z[rr],-1)==-infinity;lmrp:=limit(f(x),x=Z[rr],1)==-infinity; TestL:=(abs(LL[r])==abs(LL[r+1]));
                    
 if(PB[r]==1){if(TestS==0){lp:=lp+if(member(Z[rr],F)){
-                                    "limGauche(btex $"+if(lmrm==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[rr],-1)))}+"$ etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex $"+if(lmrp==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[rr],1)))}+"$ etex,"+if(krp==1){"1);"}else{"0);"}}
+                                    "limGauche(btex $"+if(lmrm==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[rr],-1)))}+"$ etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex $"+if(lmrp==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[rr],1)))}+"$ etex,"+if(krp==1){"1);"}else{"0);"}}
                                           else{"valPos(btex          $"+latex(simplify(f(Z[rr])))+"$
-                                            etex,"+if(evalf(sign(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+"valPos(btex
+                                            etex,"+if(evalf(sign(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+"valPos(btex
                                             $ "+ao+" $ etex,0.5);
                                                                  ";rr:=rr+1;
 }//  testS==0
-else{lp:=lp+if(member(Z[rr],F)){
+else{lp:=lp+if(member(Z[rr],F)){
                                     "limGauche(btex $"+if(lmrm==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[rr],-1)))}+"$ etex,"+if(krm==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex $"+if(lmrp==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[rr],1)))}+"$ etex,"+if(krp==1){"1);"}else{"0);"}}
                                           else{"valPos(btex          $"+latex(simplify(f(Z[rr])))+"$
-                                            etex,"+if(evalf(sign(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);
+                                            etex,"+if(evalf(sign(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);
                                                             "}}};rr:=rr+1;
 }//else testS==0
 }//PB[r]==1
 }//for nz<NL
-}// else nz<NL
+}// else nz<NL
 //if nz=NL
-};//if nz>2
+};//if nz>2
 
 
 
-lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
+lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
 
 
 lf:=if(member(Z[nz-1],F)==0){"valPos(btex $"+
            if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$ etex,"+
-             if(kz==1){"1);"}else{"0);"}}
+             if(kz==1){"1);"}else{"0);"}}
     else{"limGauche(btex $"+
          if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$ etex,"+ 
-           if(kz==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};    
+           if(kz==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};    
 
 
 
@@ -1326,15 +1325,15 @@ lf:=if(member(Z[nz-1],F)==0){"valPos(btex $"+
 
 
 
-MetaLfc:= if(ftt==2){if(nz>2){"beginTableau("+nmr+")"+
+MetaLfc:= if(ftt==2){if(nz>2){"beginTableau("+nmr+")"+
         l0+lsi+lsp+lsf+"
 endTableau;
 
-";}else{
+";}else{
 "beginTableau("+nmr+")"+
         l0+
-lsi+lsf+"
-endTableau;
+lsi+lsf+"
+endTableau;
 
 ";
 }
@@ -1343,33 +1342,33 @@ if(ftt==0){if(nz>2){"beginTableau("+nmr+")"+
         l0+
 li+
 lp+
-lf
+lf
 +"
-endTableau;
+endTableau;
 
 ";}else{"beginTableau("+nmr+")"+
         l0+
 li+
-lf
+lf
 +"
 endTableau;
 ";}}else{
-if(nz>2){"beginTableau("+nmr+")"+
+if(nz>2){"beginTableau("+nmr+")"+
         l0+
 lsi+lsp+lsf+
 li+
 lp+
 lf
 +"
-endTableau;
+endTableau;
 
 ";}else{"beginTableau("+nmr+")"+
         l0+
 lsi+lsf+
 li+
-lf
+lf
 +"
-endTableau;
+endTableau;
 
 ";}
 }};
@@ -1381,7 +1380,7 @@ li+
 
 
 sortie:=fopen("XCasmpfc.mp");
-fprint(sortie,Unquoted,MetaLfc);
+fprint(sortie,Unquoted,MetaLfc);
 fclose(sortie);
 
 
@@ -1405,9 +1404,6 @@ fclose(sortie);
 
 
 
-\begin{VerbatimOut}{XcasTVIapp.cxx}
-
-
 \begin{VerbatimOut}{XcasTVIapp.cxx}
 
 TVIapp(L,F,nom,nomv,f,ftt,ao,nmr):={
@@ -1635,13 +1631,13 @@ lf
 +"
 endTableau;
 
-";}else{"beginTableau("+nmr+")"+
+";}else{"beginTableau("+nmr+")"+
         l0+
 lsi+lsf+
 li+
 lf
 +"
-endTableau;
+endTableau;
 
 ";}
 }};
@@ -1668,7 +1664,7 @@ fclose(sortie);
 
 
 %%
-%% Code giac/Xcas pour les Tableaux de variations de courbes parametrees
+%% Code giac/Xcas pour les Tableaux de variations de courbes parametrees
 %%
 
 
@@ -1678,7 +1674,7 @@ fclose(sortie);
 
 
 \begin{VerbatimOut}{XcasTVP.cxx}
-TVP(L,F,nom,nomv,ff,ftt,trigo,nmr):={
+TVP(L,F,nom,nomv,ff,ftt,trigo,nmr):={
 //local Z,LLL,FFF,nl,fp,f,S,d,t,ns,k,m,x,j,kk,nz,u,l0;
 nl:=size(L);
 fp:=[];
@@ -1689,20 +1685,20 @@ LLL:=[];
 
 
 all_trig_solutions:=1;
-reset_solve_counter(-1,-1);
+reset_solve_counter(-1,-1);
 
 for(d:=0;d<=1;d++){
 f:=subst(f,f[d]=unapply(f[d],t));
 fp:=append(fp,function_diff(f[d]));
 LLL:=concat(L,F[d]);
 Z:=LLL union Z;
-SS:=solve(factor(simplify(fp[d](t))),t);
+SS:=solve(factor(simplify(fp[d](t))),t);
 ns:=size(SS);
 
 for(k:=0;k<ns;k++){
 if(trigo==t){
 m:=0;
-while(evalf(simplify(subst(SS[k],n_1=m)))<=evalf(L[nl-1])){
+while(evalf(simplify(subst(SS[k],n_1=m)))<=evalf(L[nl-1])){
 
 S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m+1;
 
@@ -1713,7 +1709,7 @@ S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m-1;
 
 }
 }else{
-S:=concat(S,SS);
+S:=concat(S,SS);
 }
 }
 
@@ -1729,7 +1725,7 @@ nz:=size(Z);
 
 
  tantque evalf(Z[0])==evalf(Z[1]) faire Z:=Z[1..nz-1];nz:=size(Z);
-     ftantque;
+     ftantque;
 
 
 
@@ -1741,7 +1737,7 @@ u:=1;
          Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=size(Z);
      ftantque;
   u:=u+1;
- ftantque;
+ ftantque;
 
 
  };
@@ -1755,7 +1751,7 @@ nz:=size(Z);
 pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
 ";fpour;
 
- lsi:="","";
+ lsi:="","";
 
 FFF:=[[],[]];
 
@@ -1765,7 +1761,7 @@ FFF[d]:=concat(F[d],[-infinity,+infinity]);
        kz:=evalf(limit(f[d](x),x=Z[nz-1],-1))> evalf(limit(f[d](x),x=Z[nz-2],1));
 //}
 //$
- lsi[d]:=lsic+nom[d]+"'("+nomv+")}$ etex);"+if(member(Z[0],FFF[d])==0){"valBarre(btex $"+latex(simplify(fp[d](Z[0])))+"$ etex);"}else{if(Z[0]==-infinity){" "}else{"nonDefBarre;
+ lsi[d]:=lsic+nom[d]+"'("+nomv+")}$ etex);"+if(member(Z[0],FFF[d])==0){"valBarre(btex $"+latex(simplify(fp[d](Z[0])))+"$ etex);"}else{if(Z[0]==-infinity){" "}else{"nonDefBarre;
 "}}+
      if(Z[0]==-infinity){if(sign(evalf(fp[d](if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F[d])==0){
                                                     if(sign(fp[d](Z[0]+10^(-5)))==1){"plus;"}else{"moins;"}}else{
@@ -1776,7 +1772,7 @@ if(nz>2){ for(r:=1; r<=nz-2;r++){      ksp:=evalf(fp[d](Z[r]+0.01))>0;
                                                 if(ksp==1){"plus;"}else{"moins;"}
                                                   }; }
 
-lsf[d]:=if(member(Z[nz-1],FFF[d])==0){"valBarre(btex $"+latex(simplify(fp[d](Z[nz-1])))+"$ etex);"}else{if(Z[nz-1]==+infinity){" "}else{"nonDefBarre;"}}
+lsf[d]:=if(member(Z[nz-1],FFF[d])==0){"valBarre(btex $"+latex(simplify(fp[d](Z[nz-1])))+"$ etex);"}else{if(Z[nz-1]==+infinity){" "}else{"nonDefBarre;"}}
 
 
 
@@ -1802,10 +1798,10 @@ for(d:=0;d<=1;d++){
 //{
 //$
 lm0[d]:=limit(f[d](x),x,Z[0],1)==-infinity;
-     li[d]:=lvic+nom[d]+"}$ etex);"+
+     li[d]:=lvic+nom[d]+"}$ etex);"+
            if(member(Z[0],F[d])==0){"valPos(btex $"+if(lm0[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[0],1)))}+"$ etex,"}
              else{"nonDefBarre;limDroite(btex $"+if(lm0[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[0],1)))}+"$ etex,"}+
-           if(K0[d]==1){"1"}else{"0"}+
+           if(K0[d]==1){"1"}else{"0"}+
                          ");";
 
                      if(nz>2){ for(r:=1; r<=nz-2;r++){ krm[d]:=evalf(limit(f[d](x),x=Z[r-1],1))< evalf(limit(f[d](x),x=Z[r],-1));
@@ -1814,21 +1810,21 @@ lm0[d]:=limit(f[d](x),x,Z[0],1)==-infinity;
                                                   lp[d]:=lp[d]+if(member(Z[r],F[d])){
                                     "limGauche(btex
                                     $"+if(lmrm[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[r],-1)))}+"$
-                                    etex,"+if(krm[d]==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex $"+if(lmrp[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[r],1)))}+"$ etex,"+if(krp[d]==1){"1);"}else{"0);"}}
+                                    etex,"+if(krm[d]==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex $"+if(lmrp[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[r],1)))}+"$ etex,"+if(krp[d]==1){"1);"}else{"0);"}}
                                           else{"valPos(btex          $"+latex(simplify(f[d](Z[r])))+"$
-                                            etex,"+if(sign(evalf(fp[d](Z[r]-0.001)))==sign(evalf((fp[d](Z[r]+0.001))) )){"0.5);"}else{if(krp[d]==1){"1);"}else{"0);
+                                            etex,"+if(sign(evalf(fp[d](Z[r]-0.001)))==sign(evalf((fp[d](Z[r]+0.001))) )){"0.5);"}else{if(krp[d]==1){"1);"}else{"0);
 "}}}
                                                    }; }
 
 lnz[d]:=limit(f[d](x),x=Z[nz-1],-1)==-infinity;
 
 
-lf[d]:=if(member(Z[nz-1],F[d])==0){"valPos(btex $"+
+lf[d]:=if(member(Z[nz-1],F[d])==0){"valPos(btex $"+
            if(lnz[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x=Z[nz-1],-1)))}+"$ etex,"+
              if(Kz[d]==1){"1);"}else{"0);"}}
     else{"limGauche(btex $"+
          if(lnz[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x=Z[nz-1],-1)))}+"$ etex,"+ 
-           if(Kz[d]==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};    
+           if(Kz[d]==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};    
     
 
 
@@ -1848,13 +1844,13 @@ MetaLfc:=if(ftt==2){if(nz>2){"
 
 beginTableau("+nmr+")"+
         l0+lsi[0]+lsp[0]+lsf[0]+lsi[1]+lsp[1]+lsf[1]+"
-endTableau;
+endTableau;
 
 ";}else{
 intro+"beginTableau("+nmr+")"+
         l0+
 lsi[0]+lsf[0]+lsi[1]+lsf[1]+"
-endTableau;
+endTableau;
 
 ";
 }
@@ -1865,18 +1861,18 @@ lp[0]+
 lf[0]+
 li[1]+
 lp[1]+
-lf[1]
+lf[1]
 +"
 endTableau;
 
 ";}else{"beginTableau("+nmr+")"+
         l0+
 li[0]+
-lf[0]+
+lf[0]+
 li[1]+
 lf[1]
 +"
-endTableau;
+endTableau;
 
 ";}}else{
 if(nz>2){"beginTableau("+nmr+")"+
@@ -1884,24 +1880,24 @@ if(nz>2){"beginTableau("+nmr+")"+
 lsi[0]+lsp[0]+lsf[0]+
 li[0]+
 lp[0]+
-lf[0]+
+lf[0]+
 lsi[1]+lsp[1]+lsf[1]+
 li[1]+
 lp[1]+
 lf[1]
 +"
-endTableau;
+endTableau;
 
 ";}else{"beginTableau("+nmr+")"+
         l0+
 lsi[0]+lsf[0]+
 li[0]+
-lf[0]+
+lf[0]+
 lsi[1]+lsf[1]+
 li[1]+
 lf[1]
 +"
-endTableau;
+endTableau;
 
 ";}
 }
@@ -2707,7 +2703,7 @@ read("XCasTVP.user");
 
 
 
-\begin{VerbatimOut}{XCasTVZ.giac}
+\begin{VerbatimOut}{XCasTVZ.giac}
 maple_mode(0);
 read("config.cxx");
 read("XcasTVZ.cxx");
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.pdf b/Master/texmf-dist/doc/latex/tablor/tablor.pdf
index d11f564affd..6cae88990c4 100644
Binary files a/Master/texmf-dist/doc/latex/tablor/tablor.pdf and b/Master/texmf-dist/doc/latex/tablor/tablor.pdf differ
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.tex b/Master/texmf-dist/doc/latex/tablor/tablor.tex
index 9a7326263b1..033d101e4d0 100644
--- a/Master/texmf-dist/doc/latex/tablor/tablor.tex
+++ b/Master/texmf-dist/doc/latex/tablor/tablor.tex
@@ -3,8 +3,12 @@
 \usepackage[latin1]{inputenc}
 \usepackage[T1]{fontenc}
 \usepackage[french]{babel}
-\usepackage[upright]{fourier}
-\usepackage{tablor}
+\usepackage[boldsans]{ccfonts}
+\usepackage{beton,euler}
+\usepackage{luximono}
+
+%\usepackage[upright]{fourier}
+\usepackage[xcas]{tablor}
 \usepackage{listings,keystroke}
 \usepackage{graphicx,bclogo,amssymb,amsbsy,amsfonts,amstext,amscd,amsopn,amsxtra}
 
@@ -47,12 +51,14 @@ keywordstyle =\color{0.2white}\usefont{OT1}{cmtt}{b}{n},basicstyle=\ttfamily,com
 
 % petits environnements bclogo
 
+
+
 \newenvironment{DANGER}[1]{%
-\begin{bclogo}{\attention}{#1}{0.9white}{0.1}{0}}
+\begin{bclogo}[logo=\bctakecare,arrondi=0.1,couleur=0.9white]{#1}}
 {\end{bclogo}}
 
 \newenvironment{Idee}[1]{%
-\begin{bclogo}{\coeur}{#1}{0.9white}{0.1}{0}}
+\begin{bclogo}[logo=\bclampe,arrondi=0.1,couleur=0.9white]{#1}}
 {\end{bclogo}}
 
 
@@ -61,11 +67,11 @@ keywordstyle =\color{0.2white}\usefont{OT1}{cmtt}{b}{n},basicstyle=\ttfamily,com
 \usepackage{sectsty}
 
 
-\sectionfont{\LARGE \sffamily\color{0.2white}}
-\subsectionfont{\sffamily\color{0.4white}}
+\sectionfont{\LARGE \color{0.2white}}
+\subsectionfont{\color{0.4white}}
 \renewcommand\thesection{\Roman{section} -}
 \renewcommand\thesubsection{\alph{subsection}. }
-\subsubsectionfont{\sffamily\color{0.6white}}
+\subsubsectionfont{\color{0.6white}}
 \renewcommand\thesubsubsection{\roman{subsection}. }
 
 
@@ -80,7 +86,7 @@ keywordstyle =\color{0.2white}\usefont{OT1}{cmtt}{b}{n},basicstyle=\ttfamily,com
 avec l'efficace participation de Jean-Michel \textsc{Boucart}\\
 Forum d'aide ~:~\href{http://gconnan.free.fr/punbb/upload/index.php}{http://gconnan.free.fr/punbb/upload/index.php}}
 
-\date{24 novembre 2008 - Version 4.02b}
+\date{7 février 2009 - Version 4.03}
 
 
 
@@ -118,6 +124,22 @@ minimum de commandes.
 
 \subsection{Changements depuis la version 3.00}
 
+
+\begin{figure}[!h]
+              \begin{DANGER}{Attention~!}
+              À  partir de la  version 4.03  de \texttt{tablor},  il est
+              nécessaire     d'avoir    la    nouvelle     version    de
+              tableauVariation.mp (la 2.1  datant de décembre 2008) mais
+              pour  l'instant   elle  n'est  pas   présente  sur  CTAN~!
+              Récupérez     plutôt     le     fichier    à     l'adresse
+              \href{http://download.tuxfamily.org/tehessinmath/les\_sources/tableauVariation.mp}{http://download.tuxfamily.org/tehessinmath/les\_sources/tableauVariation.mp}.
+
+Cela ne posera de problèmes que si vous utilisez l'environnement TVZ.
+               \end{DANGER}
+               \end{figure}
+
+
+
 La version 4.01 n'est  malheureusement plus compatible avec les versions
 antérieures car une option supplémentaire a été ajoutée pour traiter les
 fonctions trigonométriques.
@@ -142,6 +164,11 @@ prolongeables par continuit
 Une  possibilité  a  été ajoutée  pour  donner  un  nom à  une  fonction
 nécessitant l'emploi d'une macro \LaTeX{} (version 4.02b).
 
+
+Les frontières  des zones interdites  sont assorties  de doubles
+barres si nécessaire. (version 4.03)
+
+
 \subsection{Professor.sty}
 
 
@@ -155,8 +182,12 @@ d
 
 
 
+\subsection{Plugin TeXmacs}
 
 
+Emmanuël Corcelle a écrit un plugin pour que les utilisateurs de TeXmacs
+puissent     eux     aussi     profiter    de     \texttt{tablor}     et
+\texttt{professor}. Pour cela visitez le site \href{http://corcelle.wordpress.com/}{http://corcelle.wordpress.com/}
 
 
 
@@ -258,20 +289,30 @@ et
 \href{http://mathsp.tuxfamily.org/spip.php?article186}{http://mathsp.tuxfamily.org/spip.php?article186}
 
 surtout si vous êtes sur XP :-)
+
+De nombreux problèmes ont été réglés sur le forum~: \href{http://gconnan.free.fr/punbb/upload/index.php}{http://gconnan.free.fr/punbb/upload/index.php}
     \end{Idee}
   \end{figure}
 
 
+  \begin{figure}[!h]
+    \begin{Idee}{MikTeX et TeXLive}
+      \texttt{tablor}      est      présent      sur      MikTeX      et
+      TeXLive. \texttt{tableauVariation.mp} est sur
+      MikTeX mais la version n'est pas à jour (à la date du 7 février 2009).
+      \end{Idee}
+    \end{figure}
+
+
 \begin{itemize}
 
 \item Il faut avoir installé \texttt{XCAS}, logiciel multi-plateforme de calcul et de programmation~:
 
-\href{http://www-fourier.ujf-grenoble.fr/\%7Eparisse/giac\_fr.html}{http://www-fourier.ujf-grenoble.fr/\%7Eparisse/giac\_fr.html};
+\href{http://www-fourier.ujf-grenoble.fr/\%7Eparisse/giac\_fr.html}{http://www-fourier.ujf-grenoble.fr/\%7Eparisse/giac\_fr.html}~;
 
 \item il faut avoir le fichier de macros \texttt{MetaPOST} 
 \texttt{tableauVariation.mp} de Frédéric Mazoit~:
-
-\href{http://frederic.mazoit.free.fr/LaTeX\_metapost/tableauVariations/}{http://frederic.mazoit.free.fr/LaTeX\_metapost/tableauVariations/};
+\href{http://download.tuxfamily.org/tehessinmath/les\_sources/tableauVariation.mp}{http://download.tuxfamily.org/tehessinmath/les\_sources/tableauVariation.mp}~;
 
 Pour  ceux  qui  sont guère  habitués  à  \texttt{MetaPOST},  cela  ne  pose aucun  problème  car  les
 scripts  et compilations  \texttt{MetaPOST}  se font  automatiquement.  Il suffit  de  créer dans  son
@@ -386,7 +427,8 @@ et l
 
 
               \begin{DANGER}{Commandes créées}
- Huit nouvelles commandes sont crées~:~\verb+\tv, \tvbis, \nettoyer, \initablor, \Tableaux,+
+ Huit nouvelles commandes sont crées~:~\verb+\tv, \tvbis, \nettoyer, \initablor,+
+
   \verb+ \dresse, \dressetoile, \executGiacmp+.
  Attention aux conflits si de  tels noms existent quelque part dans vos
               fichiers personnels.
@@ -407,6 +449,17 @@ et l
 
 \section{Comment l'utiliser~?}
 
+
+
+\begin{figure}[!h]
+  \begin{Idee}{Faut-il savoir utiliser MetaPOST et XCAS~?}
+    Non~!  Tous  les  appels  à   ces  logiciels  se  font  sans  aucune
+    intervention de l'utilisateur. 
+    \end{Idee}
+  \end{figure}
+
+
+
 \subsection{Préambule}
 
 Les ECM donnés  en exemple ne dépendent pas du  moteur de compilation~:~\texttt{\LaTeX{}+dvi+dvips} ou
@@ -579,19 +632,19 @@ Vous le placerez dans la m
 
 \subsubsection*{Rôle}
 
-\begin{enumerate}
-\item[I] La première partie permet de configurer le préambule \texttt{tex} qui sera utilisé par
+\begin{itemize}
+\item La première partie permet de configurer le préambule \texttt{tex} qui sera utilisé par
 \texttt{MetaPOST}  pour   créer  les  tableaux.   La  ligne  contenant
 l'extension des fontes est en particulier optionnelle~:~vous pouvez la
 modifier, voire la supprimer selon vos choix de fontes;
 
 
-\item[II] si vous utilisez \texttt{ Microsoft-Windows}, il faudra décommenter la
+\item si vous utilisez \texttt{ Microsoft-Windows}, il faudra décommenter la
 ligne spécifiée afin que les commandes \texttt{unix} soient remplacées
 automatiquement par des commandes \texttt{dos};
 
 
-\item[III] l'éditeur sera appelé dans certains cas pour modifier
+\item l'éditeur sera appelé dans certains cas pour modifier
     l'aspect des  tableaux dans les fichiers  sources \texttt{MetaPOST}. Il faudra  choisir un éditeur
   comme par exemple \texttt{emacs, xemacs, texmaker, vi, winshell, notepad, vim, kate, gedit,
       textmate,texshop}, \texttt{kile}, etc. 
@@ -600,12 +653,12 @@ que vous utilisez pour \LaTeX{} afin que la fen
 
 Voir aussi le paragraphe~\ref{modif};
 
-\item[IV] par  défaut, on voit  apparaître dans la  première colonne des  tableaux «~signe de  ~» ou
+\item par  défaut, on voit  apparaître dans la  première colonne des  tableaux «~signe de  ~» ou
   «~variations  de ~».  Vous pouvez  modifier ces  réglages ici  comme indiqué;  deux  exemples sont
   donnés~:~en anglais ou en n'écrivant que les expressions.
 
 
-\end{enumerate}
+\end{itemize}
 
 
 \subsection{Initialisation de \texttt{tablor} et préfixe des tableaux}\label{prefix}
@@ -1010,9 +1063,11 @@ TVI([-10,+infinity],[-1,1],"f","x",x^2/(x^2-1),1,10,n,\tv)
 
 et on obtient~:
 
+\ech{0.9}
 \begin{TVI}
 TVI([-10,+infinity],[-1,1],"f","x",x^2/(x^2-1),1,10,n,\tv)
 \end{TVI}
+\ech{1}
 
 Les solutions sont notées $\alpha_1$, $\alpha_2$, etc.
 
@@ -1777,12 +1832,12 @@ TSc((x-10)*(x+10),[-10,10],[],n,\tv)
    
   \begin{lstlisting}
 \begin{TVZ}
-  TVZ([-infinity,+infinity],[],[[-1,1]],"f","x",ln(x^2-1),1,n,\tv)
+  TVZ([-infinity,+infinity],[-1,1],[[-1,1]],"f","x",ln(x^2-1),1,n,\tv)
 \end{TVZ}
   \end{lstlisting}
 
  \begin{TVZ}
-  TVZ([-infinity,+infinity],[],[[-1,1]],"f","x",ln(x^2-1),1,n,\tv)
+  TVZ([-infinity,+infinity],[-1,1],[[-1,1]],"f","x",ln(x^2-1),1,n,\tv)
   \end{TVZ}
 
 
@@ -1813,8 +1868,8 @@ TVP([0,2*pi],[[],[]],["x","y"],"t",[t-2*sin(t),-1+2*cos(t)],1,t,\tv)
 
 
 \begin{lstlisting}
-\begin{TVZ}
-  TVZ([-infinity,+infinity],[-1,1,4,6],[[-1,1],[4,6]],"f","x",ln((x-5)^2-1)+ln(x^2-1),1,n,\tv)
+ \begin{TVZ}
+ TVZ([-infinity,+infinity],[],[[-1,1],[4,6]],"f","x",sqrt((x-5)^2-1)+sqrt(x^2-1),1,n,\tv)
 \end{TVZ}
 \end{lstlisting}
 
@@ -1854,11 +1909,17 @@ TVP([0,2*pi],[[],[]],["x","y"],"t",[t-2*sin(t),-1+2*cos(t)],1,t,\tv)
 \end{TS}
 \end{center}
 
+\begin{lstlisting}
+\begin{TVIapp}
+TVIapp([-1,+infinity],[-1,0],"g'","x",diff(ln(x+1)/x^2,x),1,0,\tv)
+\end{TVIapp}
+\end{lstlisting}
 
-
-
-
-
+\begin{center}
+\begin{TVIapp}
+TVIapp([-1,+infinity],[-1,0],"g'","x",diff(ln(x+1)/x^2,x),1,0,\tv)
+\end{TVIapp}
+\end{center}
 
 
 
diff --git a/Master/texmf-dist/tex/latex/tablor/tablor-xetex.sty b/Master/texmf-dist/tex/latex/tablor/tablor-xetex.sty
index fc9b6e7a14c..508315fb27a 100644
--- a/Master/texmf-dist/tex/latex/tablor/tablor-xetex.sty
+++ b/Master/texmf-dist/tex/latex/tablor/tablor-xetex.sty
@@ -1,5 +1,5 @@
 \NeedsTeXFormat{LaTeX2e}[1995/12/01]
-\ProvidesPackage{tablor-xetex}[29/01/2009 v4.02c  la machine a  creer des
+\ProvidesPackage{tablor-xetex}[07/02/2009 v4.03  la machine a  creer des
 tableaux de signes et variations compatible xetex]
 
 % \copyleft Connan le Barbare (aka Guillaume Connan) \copyright
@@ -665,7 +665,6 @@ fclose(sortie);
 
 \begin{VerbatimOut}{XcasTVZ.cxx}
 
-
 TVZ(L,F,FF,nom,nomv,f,ftt,trigo,nmr):={
 nl:=size(L);
 nf:=size(FF);
@@ -753,7 +752,7 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
        kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1));
                           
 lsi:=lsic+nom+"'("+nomv+")}$ etex);"+
-if(member(Z[0],IMIN)!=0){"debutNonDef;"}else{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(member(Z[0],IMIN)!=0){if((member(Z[0],F)==0) and (fp(Z[0])!=undef)){"debutNonDef;"}else{"debutNonDefStrict;"}}else{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^(-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
                                                          if(sign(fp((Z[0]+10^(-5))))==1){"plus;"}else{"moins;"} }}}
@@ -761,8 +760,8 @@ if(member(Z[0],IMIN)!=0){"debutNonDef;"}else{if(Z[0]==-infinity){if(sign(evalf(f
 
 
 if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))>0; 
-                                               lsp:=lsp+if(member(Z[r],IMIN)!=0){"debutNonDef;"}else{
-                                                       if(member(Z[r],IMAX)!=0){"finNonDef;"+
+                                               lsp:=lsp+if(member(Z[r],IMIN)!=0){if((member(Z[r],F)==0) and (fp(Z[r])!=undef)){"debutNonDef;"}else{"debutNonDefStrict;"}}else{
+                                                       if(member(Z[r],IMAX)!=0){if((member(Z[r],F)==0) and (fp(Z[r])!=undef)){"finNonDef;"}else{"finNonDefStrict;"}+
                                                 if(ksp==1){"plus;"}else{"moins;"}}else{
                                                  if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
                                                 if(ksp==1){"plus;"}else{"moins;"}
@@ -770,7 +769,7 @@ if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))>0;
 
 
 
-lsf:=if(member(Z[0],IMAX)!=0){"finNonDef;"}else{if(member(Z[nz-1],F)==0){""}else{"nonDefBarre;
+lsf:=if(member(Z[nz-1],IMAX)!=0){if((member(Z[nz-1],F)==0) and (fp(Z[nz-1])!=undef)){"finNonDef;"}else{"finNonDefStrict;"}}else{if(member(Z[nz-1],F)==0){""}else{"nonDefBarre;
 "}}
 
 
@@ -791,16 +790,15 @@ if(nz>2){
              "-\\infty"}else{
                 latex(simplify(limit(f(x),x=Z[r],-1)))}
          +"$ etex,"+if(krm==1){
-             "1);"}else{"0);"}
-         +"debutNonDef;"
+             "1);"}else{"0);"} 
+         +if(member(Z[r],F)==0){"debutNonDef;"}else{"debutNonDefStrict;"}
        }//fsi Zr=Imin
       else{
-        if (member(Z[r],IMAX)!=0) {"finNonDef;limDroite(btex $"+if(lmrp==1){
+        if (member(Z[r],IMAX)!=0){if(member(Z[r],F)==0){"finNonDef;"}else{"finNonDefStrict;"}+"limDroite(btex $"+if(lmrp==1){
              "-\\infty"}else{latex(simplify(limit(f(x),x=Z[r],1)))}
          +"$ etex,"+if(krp==1){
              "1);"}else{"0);"}          
-       }
-        else {
+       }else{
           if(member(Z[r],F)){
          "limGauche(btex $"+if(lmrm==1){
              "-\\infty"}else{
@@ -898,6 +896,7 @@ fclose(sortie);
 :;
 
 
+
 \end{VerbatimOut}
 
 
diff --git a/Master/texmf-dist/tex/latex/tablor/tablor.cfg b/Master/texmf-dist/tex/latex/tablor/tablor.cfg
index 5d095f0a783..0e1953466f1 100644
--- a/Master/texmf-dist/tex/latex/tablor/tablor.cfg
+++ b/Master/texmf-dist/tex/latex/tablor/tablor.cfg
@@ -16,7 +16,7 @@ input tableauVariation;
 verbatimtex
 %&latex
 \documentclass{article}
-\usepackage[upright]{fourier} % ou mathpazo, lmodern, etc. ou rien !
+\usepackage[upright]{fourier}% ou mathpazo, lmodern, etc. ou rien !
 \usepackage{amsmath}
 \renewcommand\mbox[1]{ #1 } % pour les mbox intempestifs de xcas
 \renewcommand\cdot{ } % idem pour les cdot
@@ -40,10 +40,10 @@ etex
 % III - Déclaration de l'éditeur utilisé
 % ================================
 % 
-% Remplacez "kile" par la commande qui lance un autre editeur que votre éditeur favori pour pouvoir modifier certains tableaux. 
+% Remplacez "gedit" par la commande qui lance un autre editeur que votre éditeur favori pour pouvoir modifier certains tableaux. 
 % Laissez une espace avant de fermer l'accolade.
 
-\newcommand{\editeur}{kile }
+\newcommand{\editeur}{gedit }
 
 
 
diff --git a/Master/texmf-dist/tex/latex/tablor/tablor.sty b/Master/texmf-dist/tex/latex/tablor/tablor.sty
index a8b81775251..1c62fe54432 100644
--- a/Master/texmf-dist/tex/latex/tablor/tablor.sty
+++ b/Master/texmf-dist/tex/latex/tablor/tablor.sty
@@ -1,5 +1,5 @@
 \NeedsTeXFormat{LaTeX2e}[1995/12/01]
-\ProvidesPackage{tablor}[29/01/2009 v4.02c la machine a creer des tableaux de signes et variations]
+\ProvidesPackage{tablor}[07/02/2009 v4.03 la machine a creer des tableaux de signes et variations]
 
 % \copyleft Connan le Barbare (aka Guillaume Connan) \copyright
 % This work may be distributed and/or mofified under the conditions
@@ -716,7 +716,7 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
        kz:=evalf(limit(f(x),x=Z[nz-1],-1))> evalf(limit(f(x),x=Z[nz-2],1));
                           
 lsi:=lsic+nom+"'("+nomv+")}$ etex);"+
-if(member(Z[0],IMIN)!=0){"debutNonDef;"}else{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(member(Z[0],IMIN)!=0){if((member(Z[0],F)==0) and (fp(Z[0])!=undef)){"debutNonDef;"}else{"debutNonDefStrict;"}}else{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^(-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
                                                          if(sign(fp((Z[0]+10^(-5))))==1){"plus;"}else{"moins;"} }}}
@@ -724,8 +724,8 @@ if(member(Z[0],IMIN)!=0){"debutNonDef;"}else{if(Z[0]==-infinity){if(sign(evalf(f
 
 
 if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))>0; 
-                                               lsp:=lsp+if(member(Z[r],IMIN)!=0){"debutNonDef;"}else{
-                                                       if(member(Z[r],IMAX)!=0){"finNonDef;"+
+                                               lsp:=lsp+if(member(Z[r],IMIN)!=0){if((member(Z[r],F)==0) and (fp(Z[r])!=undef)){"debutNonDef;"}else{"debutNonDefStrict;"}}else{
+                                                       if(member(Z[r],IMAX)!=0){if((member(Z[r],F)==0) and (fp(Z[r])!=undef)){"finNonDef;"}else{"finNonDefStrict;"}+
                                                 if(ksp==1){"plus;"}else{"moins;"}}else{
                                                  if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
                                                 if(ksp==1){"plus;"}else{"moins;"}
@@ -733,7 +733,7 @@ if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))>0;
 
 
 
-lsf:=if(member(Z[0],IMAX)!=0){"finNonDef;"}else{if(member(Z[nz-1],F)==0){""}else{"nonDefBarre;
+lsf:=if(member(Z[nz-1],IMAX)!=0){if((member(Z[nz-1],F)==0) and (fp(Z[nz-1])!=undef)){"finNonDef;"}else{"finNonDefStrict;"}}else{if(member(Z[nz-1],F)==0){""}else{"nonDefBarre;
 "}}
 
 
@@ -754,16 +754,15 @@ if(nz>2){
              "-\\infty"}else{
                 latex(simplify(limit(f(x),x=Z[r],-1)))}
          +"$ etex,"+if(krm==1){
-             "1);"}else{"0);"}
-         +"debutNonDef;"
+             "1);"}else{"0);"} 
+         +if(member(Z[r],F)==0){"debutNonDef;"}else{"debutNonDefStrict;"}
        }//fsi Zr=Imin
       else{
-        if (member(Z[r],IMAX)!=0) {"finNonDef;limDroite(btex $"+if(lmrp==1){
+        if (member(Z[r],IMAX)!=0){if(member(Z[r],F)==0){"finNonDef;"}else{"finNonDefStrict;"}+"limDroite(btex $"+if(lmrp==1){
              "-\\infty"}else{latex(simplify(limit(f(x),x=Z[r],1)))}
          +"$ etex,"+if(krp==1){
              "1);"}else{"0);"}          
-       }
-        else {
+       }else{
           if(member(Z[r],F)){
          "limGauche(btex $"+if(lmrm==1){
              "-\\infty"}else{
-- 
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