tablor 4.04 (7mar09)

git-svn-id: svn://tug.org/texlive/trunk@12342 c570f23f-e606-0410-a88d-b1316a301751

62 files changed, 11682 insertions, 7989 deletions

diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.0 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.0
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diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.21 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.21
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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 559dd1f58ce..0ac35f7a1c8 100644
--- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp
+++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp
@@ -2,10 +2,7 @@ input tableauVariation;
 verbatimtex
 %&latex
 \documentclass{article}
-%\usepackage[upright]{fourier}% ou mathpazo, lmodern, etc. ou rien !
-\usepackage[boldsans]{ccfonts}
-\usepackage{beton,euler}
-\usepackage{luximono}
+\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
@@ -136,13 +133,11 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; d
 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 $\alpha_2$ 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; 
+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; 
 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);valPos(btex
-                                            $ 10 $ etex,0.5);
-                                                                 limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex
+                                            etex,1);limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex
                                             $ 10 $ etex,0.5);
                                                                  valPos(btex $1$ etex,0);
 endTableau;
@@ -158,7 +153,35 @@ valPos(btex $\frac{100}{99}$ etex,0);  limGauche(btex $+\infty $ etex,1);nonDefB
                                                                  limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $1$ etex,0);
 endTableau;
 
-beginTableau(13) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
+beginTableau(12) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $\frac{(-\left(\sqrt{10}\right))}{3}$ etex);val(btex $-1$ etex);val(btex $0$ etex);val(btex $1$ etex);val(btex $\frac{\sqrt{10}}{3}$ 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;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
+                                            $ 10 $ etex,0.5);
+                                                                 valPos(btex $1$ etex,0);
+endTableau;
+
+beginTableau(13) newLigneVariables(btex $x$ etex);val(btex $-10$ etex);val(btex $-1$ etex);val(btex $\frac{(-\left(\sqrt{2}\right))}{2}$ etex);val(btex $0$ etex);val(btex $\frac{\sqrt{2}}{2}$ 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; 
+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);
+                                                                 valPos(btex          $0$
+                                            etex,1);valPos(btex
+                                            $ -1 $ etex,0.5);
+                                                                 limGauche(btex $-\infty$ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $1$ etex,0);
+endTableau;
+
+beginTableau(14) newLigneVariables(btex $x$ etex);val(btex $-\pi $ etex);val(btex $\frac{(-\pi )}{3}$ etex);val(btex $0$ etex);val(btex $\frac{\pi }{3}$ 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; 
+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
+                                            $ 1/2 $ etex,0.5);valPos(btex $-1$ etex,0);
+endTableau;
+
+beginTableau(16) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
 val(btex $     0.212584$ etex);
 val(btex $     0.584635$ etex);
 val(btex $+\infty $ etex);
@@ -170,7 +193,7 @@ newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle g}$ etex);no
 valPos(btex $+\infty $ etex,1);
 endTableau;
 
-beginTableau(14) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex);
+beginTableau(17) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex);
 val(btex $0$ etex);
 val(btex $+\infty $ etex);
 
@@ -180,7 +203,7 @@ newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle g}$ etex);va
                                     etex,0);valPos(btex $1$ etex,1);
 endTableau;
 
-beginTableau(15) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
+beginTableau(18) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
 val(btex $\frac{\pi }{8}$ etex);
 val(btex $\frac{\pi }{3}$ etex);
 val(btex $\frac{3 \pi }{8}$ etex);
@@ -200,7 +223,7 @@ newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle y}$ etex);va
 valPos(btex $0$ etex,1);
 endTableau;
 
-beginTableau(16) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex);
+beginTableau(19) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex);
 val(btex $-4$ etex);
 val(btex $-1$ etex);
 val(btex $0$ etex);
@@ -227,7 +250,7 @@ valPos(btex          $\frac{16}{3}$
 endTableau;
 
 
-          beginTableau(17)
+          beginTableau(20)
    newLigneVariables(btex $ {x}$ etex);
    val(btex $-\infty$ etex);val(btex $\frac{3}{2}$ etex);
 val(btex $5$etex);
@@ -237,7 +260,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -2x+3}$ etex);plus;val
 newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -x+5}$ etex);plus;barre;plus;valBarre(btex 0 etex);moins;
 newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle {(-2x+3)(-x+5)}}$ etex);plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;
 endTableau;
-  beginTableau(18)
+  beginTableau(21)
 newLigneVariables(btex $ {x}$ etex);
    val(btex $-\infty $ etex);val(btex $-\left(\sqrt{2}\right)$ etex);
 val(btex $-1$ etex);
@@ -286,7 +309,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle P(x)}$ etex);
                               
 endTableau;
 
-   beginTableau(19)
+   beginTableau(22)
 newLigneVariables(btex $ {x}$ etex);
    val(btex $-15$ etex);val(btex $-10$ etex);
 val(btex $10$ etex); 
@@ -303,7 +326,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f(x)}$ etex);
 endTableau;
 
  
-beginTableau(20)
+beginTableau(23)
 newLigneVariables(btex $ {x}$ etex);
    val(btex $-\infty $ etex);val(btex $-4$ etex);
 val(btex $\frac{5}{4}$ etex);
@@ -342,7 +365,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle Q(x)}$ etex);
 endTableau;
 
 
-beginTableau(21)
+beginTableau(24)
 newLigneVariables(btex $ {x}$ etex);
    val(btex $-\infty $ etex);val(btex $-10$ etex);
 val(btex $10$ etex); 
@@ -359,7 +382,7 @@ endTableau;
 
 
 
-beginTableau(22)
+beginTableau(25)
 newLigneVariables(btex $\displaystyle  {x}$ etex);
    val(btex $-10$ etex);val(btex $-5$ etex);
 val(btex $10$ etex);
@@ -370,7 +393,7 @@ endTableau;
 
 
 
-beginTableau(23)
+beginTableau(26)
 newLigneVariables(btex $\displaystyle  {x}$ etex);
    val(btex $-10$ etex);val(btex $2$ etex);
 val(btex $5$ etex);
@@ -381,7 +404,7 @@ endTableau;
 
 
 
-beginTableau(24)
+beginTableau(27)
 newLigneVariables(btex $\displaystyle  {x}$ etex);
    val(btex $0$ etex);val(btex $\frac{\pi }{2}$ etex);
 val(btex $\pi $ etex);
@@ -394,8 +417,8 @@ endTableau;
 
   beginTableau(105)
 newLigneVariables(btex $ {x}$ etex);
-   val(btex $-50$ etex);val(btex $-\frac{2}{3}$ etex);
-val(btex $-\frac{\sqrt{5}}{5}$ etex);
+   val(btex $-50$ etex);val(btex $\frac{-2}{3}$ etex);
+val(btex $\frac{(-\left(\sqrt{5}\right))}{5}$ etex);
 val(btex $\frac{\sqrt{5}}{5}$ etex);
 val(btex $50$ etex); 
 newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3 x+2}$ etex);
@@ -413,8 +436,7 @@ 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);
+ beginTableau(28) 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          $-1$
@@ -422,7 +444,7 @@ nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $ 2 $ etex,0.5); valPo
                                             $ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1);
 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);
+beginTableau(29) 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; 
 newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle f}$ etex);
 valPos(btex $\frac{1}{4}$ etex,1);  valPos(btex          $0$
@@ -430,20 +452,20 @@ valPos(btex $\frac{1}{4}$ etex,1);  valPos(btex          $0$
                                             $ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1);
 endTableau;
 
-beginTableau(27) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
+beginTableau(30) 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; 
 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;
 
-beginTableau(29) newLigneVariables(btex $x$ etex);val(btex $1$ etex);
+beginTableau(32) newLigneVariables(btex $x$ etex);val(btex $1$ etex);
 val(btex $+\infty $ etex);
 
 newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -@ln'(x)}$ etex); moins;
 newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle -@ln}$ etex);valPos(btex $0$ etex,1);valPos(btex $-\infty$ etex,0);
 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);
+beginTableau(33) 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; 
 newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle @cos}$ etex);
 valPos(btex $-1$ etex,0);valPos(btex $ 1/2 $ etex,0.5); valPos(btex          $1$
@@ -451,7 +473,7 @@ valPos(btex $-1$ etex,0);valPos(btex $ 1/2 $ etex,0.5); valPos(btex          $1$
                                             $ 1/2 $ etex,0.5);valPos(btex $-1$ etex,0);
 endTableau;
 
-beginTableau(31) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
+beginTableau(34) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
 val(btex $\pi $ etex);
 val(btex $2 \pi $ etex);
 
@@ -461,13 +483,27 @@ newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle @cos}$ etex)
 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);
+beginTableau(35) 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; 
+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(36) newLigneVariables(btex $t$ etex);val(btex $0$ etex);val(btex $\mbox{atan}\left(7\right)$ 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; 
 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);
+beginTableau(37) 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; 
+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
+                                            $ 1 $ etex,0.5);valPos(btex $0$ etex,0);
+endTableau;
+
+beginTableau(38) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $    -0.839287$ etex);val(btex $\frac{-1}{2}$ etex);val(btex $0$ 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; 
 newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle f}$ etex);
 valPos(btex $0$ etex,0);valPos(btex $ 1 $ etex,0.5); valPos(btex          $\frac{3 \sqrt{3}}{4}$
@@ -475,7 +511,7 @@ valPos(btex $0$ etex,0);valPos(btex $ 1 $ etex,0.5); valPos(btex          $\frac
                                             $ 1 $ etex,0.5);valPos(btex $0$ etex,0);
 endTableau;
 
-beginTableau(34) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);
+beginTableau(39) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);
 val(btex $0$ etex);
 val(btex $+\infty $ etex);
 
@@ -484,7 +520,7 @@ newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle f}$ etex);no
                                             etex,1);valPos(btex $-\infty$ etex,0);
 endTableau;
 
-  beginTableau(35)
+  beginTableau(40)
 newLigneVariables(btex $ {x}$ etex);
    val(btex $-10$ etex);val(btex $\frac{(-\left(\sqrt{5}\right)-3)}{2}$ etex);
 val(btex $-1$ etex);
@@ -526,7 +562,7 @@ 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);
+ beginTableau(41) 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; 
 newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle f}$ etex);
 valPos(btex $-1$ etex,1);  valPos(btex          $-\left(e^{-4}\right)-1$
@@ -534,7 +570,7 @@ valPos(btex $-1$ etex,1);  valPos(btex          $-\left(e^{-4}\right)-1$
                                             $ 0 $ etex,0.5);valPos(btex $+\infty $ etex,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);
+beginTableau(42) 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; 
 newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle f}$ etex);
 valPos(btex $1$ etex,0);  valPos(btex          $2$
@@ -542,7 +578,7 @@ valPos(btex $1$ etex,0);  valPos(btex          $2$
                                             $ 0 $ etex,0.5);valPos(btex $-\infty$ etex,0);
 endTableau;
 
-beginTableau(39) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
+beginTableau(44) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
 val(btex $1$ etex);
 val(btex $+\infty $ etex);
 
@@ -551,13 +587,21 @@ newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle f}$ etex);va
                                             etex,1);valPos(btex $0$ etex,0);
 endTableau;
 
-beginTableau(40) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\pi $ etex);
+beginTableau(45) 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; 
 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);
+beginTableau(46) 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; 
+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
+                                            $ -1 $ etex,0.5);valPos(btex $-\infty$ etex,0);
+endTableau;
+
+beginTableau(47) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $e^{\frac{(-\left(\sqrt{5}\right)+1)}{2}}$ etex);val(btex $e^{\frac{1}{2}}$ etex);val(btex $e^{\frac{(\sqrt{5}+1)}{2}}$ 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; 
 newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle f}$ etex);
 nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $ -1 $ etex,0.5); valPos(btex          $\frac{1}{4}$
@@ -567,7 +611,7 @@ endTableau;
 
 
 
-beginTableau(42)
+beginTableau(48)
 newLigneVariables(btex $\displaystyle  {x}$ etex);
    val(btex $-10$ etex);val(btex $10$ etex);
 newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (x-10) (x+10)}$ etex);
@@ -575,7 +619,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (x-10) (x+10)}$ etex);
                                 valBarre(btex 0 etex);
 endTableau;
 
-beginTableau(43) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+beginTableau(49) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
 val(btex $-\left(\sqrt{2}\right)$ etex);
 val(btex $-1$ etex);
 val(btex $1$ etex);
@@ -586,7 +630,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; v
 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;
 
-beginTableau(44) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+beginTableau(50) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
 val(btex $-1$ etex);
 val(btex $1$ etex);
 val(btex $+\infty $ etex);
@@ -595,7 +639,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; d
 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);
+beginTableau(51) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
 val(btex $\frac{\pi }{8}$ etex);
 val(btex $\frac{\pi }{3}$ etex);
 val(btex $\frac{3 \pi }{8}$ etex);
@@ -615,7 +659,7 @@ newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle y}$ etex);va
 valPos(btex $0$ etex,1);
 endTableau;
 
-beginTableau(46) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
+beginTableau(52) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
 val(btex $\frac{\pi }{3}$ etex);
 val(btex $\pi $ etex);
 val(btex $\frac{5 \pi }{3}$ etex);
@@ -635,7 +679,7 @@ valPos(btex          $0$
                                             etex,0.5);valPos(btex $1$ etex,1);
 endTableau;
 
-beginTableau(47) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+beginTableau(53) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
 val(btex $-1$ etex);
 val(btex $1$ etex);
 val(btex $\frac{5}{2}$ etex);
@@ -647,7 +691,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; d
 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;
 
-beginTableau(48) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
+beginTableau(54) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
 val(btex $\frac{\pi }{8}$ etex);
 val(btex $\frac{\pi }{6}$ etex);
 val(btex $\frac{3 \pi }{8}$ etex);
@@ -666,7 +710,7 @@ newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle g}$ etex);va
 valPos(btex $0$ etex,1);
 endTableau;
 
-  beginTableau(49)
+  beginTableau(55)
 newLigneVariables(btex $ {x}$ etex);
    val(btex $0$ etex);val(btex $\frac{\pi }{3}$ etex);
 val(btex $\frac{\pi }{3}$ etex);
@@ -693,7 +737,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle  f (x)}$ etex);
                               
 endTableau;
 
- beginTableau(50) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $+\infty $ etex);
+ beginTableau(56) 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);
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.html b/Master/texmf-dist/doc/latex/tablor/tablor.html
index 11f73791c5a..46298e680db 100644
--- a/Master/texmf-dist/doc/latex/tablor/tablor.html
+++ b/Master/texmf-dist/doc/latex/tablor/tablor.html
@@ -87,7 +87,7 @@
   <body>
     <pre>
 <span class="font-latex-sedate">\NeedsTeXFormat</span>{LaTeX2e}[1995/12/01]
-<span class="font-latex-sedate">\ProvidesPackage</span>{<span class="flyspell-duplicate">tablor</span>}[07/02/2009 v4.03 la machine a creer des tableaux de signes et variations]
+<span class="font-latex-sedate">\ProvidesPackage</span>{<span class="flyspell-duplicate">tablor</span>}[07/03/2009 v4.04 la machine a creer des tableaux de signes et variations]
 
 <span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\copyleft</span></span><span class="comment"> Connan le Barbare (aka Guillaume Connan) </span><span class="font-latex-sedate"><span class="comment">\copyright</span></span><span class="comment">
 </span><span class="comment-delimiter">% </span><span class="comment">This work may be distributed and/or mofified under the conditions
@@ -95,7 +95,7 @@
 </span><span class="comment-delimiter">% </span><span class="comment">any later version. The latest version is in
 </span><span class="comment-delimiter">%   </span><span class="comment">http://www.latex-project.org/lppl/
 </span><span class="comment-delimiter">% </span><span class="comment">This work consists of the files tablor.sty, tablor-xetex.sty,  tablor.cfg, tablor.tex,
-</span><span class="comment-delimiter">% </span><span class="comment">tablor.pdf and tablor.</span><span class="comment"><span class="flyspell-incorrect">html</span></span><span class="comment">
+</span><span class="comment-delimiter">% </span><span class="comment">tablor.pdf and tablor.html
 </span>
 
 <span class="comment-delimiter">%% </span><span class="comment">Cree 16 environnements :
@@ -132,11 +132,18 @@
 </span><span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\end</span></span><span class="comment">{TVZ}
 </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">tableau avec valeurs intermediares
+</span><span class="comment-delimiter">% </span><span class="comment">tableau avec valeurs </span><span class="comment"><span class="flyspell-incorrect">intermediares</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,n,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">)
+</span><span class="comment-delimiter">%</span><span class="comment"><span class="flyspell-duplicate">TVI</span></span><span class="comment">([-1,+infinity],[-1],"f","x",x2/sqrt(x+1)-1,1,2,n,</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">tableau avec valeurs </span><span class="comment"><span class="flyspell-duplicate">intermediares</span></span><span class="comment"> et racines exactes
+</span><span class="comment-delimiter">%</span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TVIex}
+</span><span class="comment-delimiter">%</span><span class="comment"><span class="flyspell-duplicate">TVIex</span></span><span class="comment">([-1,+infinity],[-1],"f","x",x2/sqrt(x+1)-1,1,2,n,</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">{TVIex}
+</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">tableau de variations avec f' sans zero formel
 </span><span class="comment-delimiter">%</span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TVapp}
 </span><span class="comment-delimiter">% </span><span class="comment">TVapp([0,+infinity],[0],"g","x",ln(x)-x*exp(2-x),1,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">)
@@ -145,7 +152,7 @@
 </span><span class="comment-delimiter">%</span><span class="comment">
 </span><span class="comment-delimiter">% </span><span class="comment">tableau de variations avec f' sans zero formel
 </span><span class="comment-delimiter">%</span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TVIapp}
-</span><span class="comment-delimiter">% </span><span class="comment">TVIapp([0,+infinity],[0],"g","x",ln(x)-x*exp(2-x),1,0,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">)
+</span><span class="comment-delimiter">% </span><span class="comment"><span class="flyspell-duplicate">TVIapp</span></span><span class="comment">([0,+infinity],[0],"g","x",ln(x)-x*exp(2-x),1,0,</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">{TVIapp}
 </span><span class="comment-delimiter">%</span><span class="comment">
 </span><span class="comment-delimiter">%</span><span class="comment">
@@ -187,13 +194,13 @@
 <span class="font-latex-sedate">\RequirePackage</span>{fancyvrb}
 <span class="font-latex-sedate">\RequirePackage</span>{ifpdf}
 
-<span class="font-latex-sedate">\fvset</span>{<span class="flyspell-incorrect">gobble</span>=0}
+<span class="font-latex-sedate">\fvset</span>{gobble=0}
 
 <span class="comment-delimiter">% </span><span class="comment">option xcas present 
 </span>
 
 <span class="font-latex-sedate">\newboolean</span>{xcas}<span class="font-latex-sedate">\setboolean</span>{xcas}{false}
-<span class="font-latex-sedate">\DeclareOption</span>{xcas}{<span class="font-latex-sedate">\setboolean</span>{xcas}{<span class="flyspell-incorrect">true</span>}}
+<span class="font-latex-sedate">\DeclareOption</span>{xcas}{<span class="font-latex-sedate">\setboolean</span>{xcas}{true}}
 
 
 <span class="font-latex-sedate">\ProcessOptions</span><span class="font-latex-sedate">\relax</span>
@@ -202,14 +209,14 @@
 
 
 <span class="comment-delimiter">%% </span><span class="comment">Initialisation du choix d'OS
-</span><span class="font-latex-sedate">\newboolean</span>{windows}<span class="font-latex-sedate">\setboolean</span>{windows}{<span class="flyspell-duplicate">false</span>}
+</span><span class="font-latex-sedate">\newboolean</span>{windows}<span class="font-latex-sedate">\setboolean</span>{windows}{false}
 
 
 
 <span class="comment-delimiter">%% </span><span class="comment">on configure  tablor  dans un fichier exterieur pour la plateforme
 </span><span class="comment-delimiter">%% </span><span class="comment">et l'editeur
 </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="comment">%</span><span class="font-latex-sedate"><span class="comment">\typeout</span></span><span class="comment">{pas de fichier tablor.</span><span class="comment"><span class="flyspell-duplicate">cfg</span></span><span class="comment">}}
+<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="comment">%</span><span class="font-latex-sedate"><span class="comment">\typeout</span></span><span class="comment">{pas de fichier tablor.cfg}}
 </span>
 
 <span class="comment-delimiter">%% </span><span class="comment">Definit des commandes disque selon l'OS utilise
@@ -217,7 +224,7 @@
 </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">\rem</span></span><span class="function-name">}</span>{DEL } <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">\cat</span></span><span class="function-name">}</span>{TYPE }
       <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">\cp</span></span><span class="function-name">}</span>{COPY }}<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">\rem</span></span><span class="function-name">}</span>{rm }<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">\cat</span></span><span class="function-name">}</span>{cat }
-      <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">\cp</span></span><span class="function-name">}</span>{<span class="flyspell-duplicate">cp</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">\cp</span></span><span class="function-name">}</span>{cp }}
 
 
 
@@ -233,13 +240,13 @@
 
 <span class="comment-delimiter">%% </span><span class="comment">pour nettoyer les fichiers auxiliaires
 </span>
-<span class="font-latex-sedate">\AtEndDocument</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> *.user XCas* Xcas* *.<span class="flyspell-incorrect">mpx</span>}
+<span class="font-latex-sedate">\AtEndDocument</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> *.user XCas* Xcas* *.mpx}
                          }
 
 
 
 
-<span class="comment-delimiter">%% </span><span class="comment">Pour clore les fichiers </span><span class="comment"><span class="flyspell-duplicate">metapost</span></span><span class="comment"> 
+<span class="comment-delimiter">%% </span><span class="comment">Pour clore les fichiers metapost 
 </span>
 
   <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{queue.mp}
@@ -257,7 +264,7 @@
 
 
 <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">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> #1.Tab.log  queue.mp enteteMP.cfg session.tex config.<span class="flyspell-duplicate">cxx</span>}
+</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> #1.Tab.log  queue.mp enteteMP.cfg session.tex config.cxx}
 }
 
 
@@ -289,7 +296,7 @@
 </span>{<span class="font-latex-sedate">\IfFileExists</span>{<span class="font-latex-sedate">\nomtravail</span>.Tab.mp}<span class="comment">%      Si Tableaux.mp est present...
 </span>        {<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> <span class="font-latex-sedate">\nomtravail</span>.Tab.mp}}<span class="comment">%  le detruire
 </span>        {}<span class="comment">%   
-</span> <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cp</span>  enteteMP.cfg <span class="font-latex-sedate">\nomtravail</span>.Tab.mp}<span class="comment">% Reconstituer l'ent&#234;te de Tableaux.</span><span class="comment"><span class="flyspell-duplicate">mp</span></span><span class="comment">
+</span> <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cp</span>  enteteMP.cfg <span class="font-latex-sedate">\nomtravail</span>.Tab.mp}<span class="comment">% Reconstituer l'ent&#234;te de Tableaux.mp
 </span>} 
 {<span class="font-latex-sedate">\IfFileExists</span>{<span class="font-latex-sedate">\nomtravail</span>.Tab.mp}<span class="comment">%      Sans l'option XCas, si
 </span>                                <span class="comment">%      Tableaux.mp existe
@@ -301,13 +308,13 @@
 </span>
 
 
-<span class="comment-delimiter">%% </span><span class="comment">commande pour lancer giac selon </span><span class="comment"><span class="flyspell-duplicate">l'OS</span></span><span class="comment">
+<span class="comment-delimiter">%% </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="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><span class="font-latex-sedate">\write</span>18{giac #1 }}<span class="comment">%
-</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="flyspell-duplicate">giac</span>  &lt;#1 }}}
+</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{giac  &lt;#1 }}}
 <span class="font-latex-sedate">\makeatother</span>
 
 
@@ -338,7 +345,7 @@ S:=[];
 
 if(trigo==t){
 all_trig_solutions:=1;
-<span class="flyspell-duplicate">reset</span>_solve_counter(-1,-1);
+reset_solve_counter(-1,-1);
 SS:=solve(factor(simplify(fp(x))),x);
 ns:=size(SS);
 for(k:=0;k&lt;ns;k++){
@@ -362,11 +369,11 @@ S:=solve(fp(x),x);
                           fpour
   fsi;
 Z:=sort(Z);
-<span class="flyspell-duplicate">nz</span>:=size(Z);
+nz:=size(Z);
 
 
  tantque evalf(Z[0])==evalf(Z[1]) faire Z:=Z[1..nz-1];nz:=size(Z);
-     <span class="flyspell-duplicate">ftantque</span>;
+     ftantque;
 
 
 
@@ -385,13 +392,13 @@ 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;
 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(limit(f(x),x=Z[0],1))&gt; evalf(limit(f(x),x=Z[1],-1));
        kz:=evalf(limit(f(x),x=Z[nz-1],-1))&gt; evalf(limit(f(x),x=Z[nz-2],1));
@@ -428,16 +435,16 @@ lm0:=limit(f(x),x=Z[0],1)==-infinity;
 "}}}
                                                    }; }
 
-lnz:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>;
+lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
                           
 
 
 lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
            if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+
              if(kz==1){"1);"}else{"0);"}}
-    else{"limGauche(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+
+    else{"limGauche(btex <span class="font-latex-math">$"+
          if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+ 
-           if(kz==1){"1);nonDefBarre;"}else{"0);<span class="flyspell-duplicate">nonDefBarre</span>;"}};    
+           if(kz==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};    
     
 
 
@@ -447,30 +454,30 @@ MetaLfc:=if(ftt==2){if(nz&gt;2){"
 
 beginTableau("+nmr+")"+
         l0+lsi+lsp+lsf+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}else{
 intro+"beginTableau("+nmr+")"+
         l0+
 lsi+lsf+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";
 }
 }else{ if(ftt==0){if(nz&gt;2){"beginTableau("+nmr+")"+
         l0+
 li+
-<span class="flyspell-duplicate">lp</span>+
+lp+
 lf
 +"
 endTableau;
 
-";}else{"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+";}else{"beginTableau("+nmr+")"+
         l0+
 li+
 lf
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}}else{
 if(nz&gt;2){"beginTableau("+nmr+")"+
@@ -478,17 +485,17 @@ if(nz&gt;2){"beginTableau("+nmr+")"+
 lsi+lsp+lsf+
 li+
 lp+
-<span class="flyspell-duplicate">lf</span>
+lf
 +"
 endTableau;
 
 ";}else{"beginTableau("+nmr+")"+
         l0+
-<span class="flyspell-duplicate">lsi</span>+lsf+
+lsi+lsf+
 li+
 lf
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}
 }}
@@ -496,7 +503,7 @@ lf
 
 sortie:=fopen("XCasmpfc.mp");
 fprint(sortie,Unquoted,MetaLfc);
-<span class="flyspell-duplicate">fclose</span>(sortie);
+fclose(sortie);
 
 
  }:;
@@ -717,9 +724,9 @@ fclose(sortie);
 <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVZ.cxx}
 
 
-<span class="flyspell-duplicate">TVZ</span>(L,F,FF,nom,<span class="flyspell-duplicate">nomv</span>,f,ftt,trigo,nmr):={
-<span class="flyspell-duplicate">nl</span>:=size(L);
-nf:=size(<span class="flyspell-duplicate">FF</span>);
+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&lt;nf;k++){
 if(FF[k][0]&gt;L[0]){Imin[k]:=FF[k][0];LL:=L}else{Imin[k]:=L[0];LL:=[L[1]]};
@@ -728,9 +735,9 @@ if(FF[k][1]&lt;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:=[<span class="flyspell-duplicate">Ff</span>];
- IMIN:=[<span class="flyspell-duplicate">IMIN</span>];
- IMAX:=[<span class="flyspell-duplicate">IMAX</span>];
+ FF:=[Ff];
+ IMIN:=[IMIN];
+ IMAX:=[IMAX];
  f:=unapply(f,x);
 fp:=function_diff(f);
 Z:=concat(LL,F);
@@ -743,13 +750,13 @@ S:=[];
 
 
 if(trigo==t){
-<span class="flyspell-duplicate">all</span>_trig_solutions:=1;
+all_trig_solutions:=1;
 reset_solve_counter(-1,-1);
 SS:=solve(factor(simplify(fp(x))),x);
 ns:=size(SS);
 for(k:=0;k&lt;ns;k++){
 m:=0;
-<span class="flyspell-duplicate">while</span>(evalf(simplify(subst(SS[k],n_1=m)))&lt;=evalf(L[nl-1])){
+while(evalf(simplify(subst(SS[k],n_1=m)))&lt;=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))&gt;=L[0]){
@@ -772,7 +779,7 @@ S:=solve(fp(x),x);
                              Kk:=(kk) and kK;
                           if(Kk==1){Z:=append(Z,simplify(S[j]))};
                           }
-                        <span class="flyspell-duplicate">fpour</span>
+                        fpour
   fsi;
 
 Z:=sort(Z); 
@@ -783,27 +790,27 @@ 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);
 
 for(j:=0;j&lt;nf;j++){
  for(k:=1;k&lt;nz;k++){
-   if ((Z[k]&gt;Imin[j])and(Z[k]&lt;Imax[j])){Z:=augment(Z[0..k-1],Z[k+1..nz-1]);nz:=<span class="flyspell-duplicate">nz</span>-1;
+   if ((Z[k]&gt;Imin[j])and(Z[k]&lt;Imax[j])){Z:=augment(Z[0..k-1],Z[k+1..nz-1]);nz:=nz-1;
    }
   }
 }
 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> <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; 
 
        k0:= evalf(limit(f(x),x=Z[0],1))&gt; evalf(limit(f(x),x=Z[1],-1));
-       kz:=evalf(limit(f(x),x=Z[nz-1],-1))&gt; evalf(limit(f(x),x=Z[<span class="flyspell-duplicate">nz</span>-2],1));
+       kz:=evalf(limit(f(x),x=Z[nz-1],-1))&gt; evalf(limit(f(x),x=Z[nz-2],1));
                           
-<span class="flyspell-duplicate">lsi</span>:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+
+lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ 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^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-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^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-5)))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
@@ -812,23 +819,23 @@ if(member(Z[0],IMIN)!=0){if((member(Z[0],F)==0) and (fp(Z[0])!=undef)){"debutNon
 
 
 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],</span><span class="font-latex-math"><span class="flyspell-duplicate">IMIN</span></span><span class="font-latex-math">)!=0){if((</span><span class="font-latex-math"><span class="flyspell-duplicate">member</span></span><span class="font-latex-math">(Z[r],F)==0) and (</span><span class="font-latex-math"><span class="flyspell-duplicate">fp</span></span><span class="font-latex-math">(Z[r])!=</span><span class="font-latex-math"><span class="flyspell-duplicate">undef</span></span><span class="font-latex-math">)){"</span><span class="font-latex-math"><span class="flyspell-duplicate">debutNonDef</span></span><span class="font-latex-math">;"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{"</span><span class="font-latex-math"><span class="flyspell-duplicate">debutNonDefStrict</span></span><span class="font-latex-math">;"}}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{
-                                                       if(</span><span class="font-latex-math"><span class="flyspell-duplicate">member</span></span><span class="font-latex-math">(Z[r],</span><span class="font-latex-math"><span class="flyspell-duplicate">IMAX</span></span><span class="font-latex-math">)!=0){if((</span><span class="font-latex-math"><span class="flyspell-duplicate">member</span></span><span class="font-latex-math">(Z[r],F)==0) and (</span><span class="font-latex-math"><span class="flyspell-duplicate">fp</span></span><span class="font-latex-math">(Z[r])!=</span><span class="font-latex-math"><span class="flyspell-duplicate">undef</span></span><span class="font-latex-math">)){"</span><span class="font-latex-math"><span class="flyspell-duplicate">fin</span></span><span class="font-latex-math"><span class="flyspell-duplicate"><span class="flyspell-incorrect">NonDef</span></span></span><span class="font-latex-math">;"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{"</span><span class="font-latex-math"><span class="flyspell-duplicate">finNonDefStrict</span></span><span class="font-latex-math">;"}+
-                                                if(ksp==1){"plus;"}else{"moins;"}}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{
-                                                 if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{"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;"}
                                                   }}}}; 
 
 
 
-</span><span class="font-latex-math"><span class="flyspell-duplicate">lsf</span></span><span class="font-latex-math">:=if(member(Z[</span><span class="font-latex-math"><span class="flyspell-duplicate">nz</span></span><span class="font-latex-math">-1],</span><span class="font-latex-math"><span class="flyspell-duplicate">IMAX</span></span><span class="font-latex-math">)!=0){if((</span><span class="font-latex-math"><span class="flyspell-duplicate">member</span></span><span class="font-latex-math">(Z[</span><span class="font-latex-math"><span class="flyspell-duplicate">nz</span></span><span class="font-latex-math">-1],F)==0) and (</span><span class="font-latex-math"><span class="flyspell-duplicate">fp</span></span><span class="font-latex-math">(Z[</span><span class="font-latex-math"><span class="flyspell-duplicate">nz</span></span><span class="font-latex-math">-1])!=</span><span class="font-latex-math"><span class="flyspell-duplicate">undef</span></span><span class="font-latex-math">)){"</span><span class="font-latex-math"><span class="flyspell-duplicate">fin</span></span><span class="font-latex-math"><span class="flyspell-duplicate"><span class="flyspell-incorrect">NonDef</span></span></span><span class="font-latex-math">;"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{"</span><span class="font-latex-math"><span class="flyspell-duplicate">fin</span></span><span class="font-latex-math"><span class="flyspell-duplicate"><span class="flyspell-incorrect">NonDefStrict</span></span></span><span class="font-latex-math">;"}}else{if(member(Z[nz-1],F)==0){""}else{"</span><span class="font-latex-math"><span class="flyspell-duplicate">nonDefBarre</span></span><span class="font-latex-math">;
+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;
 "}}
 
 
-</span><span class="font-latex-math"><span class="flyspell-duplicate">lm</span></span><span class="font-latex-math">0:=limit(f(x),x=Z[0],1)==-</span><span class="font-latex-math"><span class="flyspell-duplicate">infinity</span></span><span class="font-latex-math">;
+lm0:=limit(f(x),x=Z[0],1)==-infinity;
      li:=lvic  +nom+"}$</span> etex);"+
            if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$</span> etex,"}
-             else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(</span><span class="font-latex-math"><span class="flyspell-duplicate">lm</span></span><span class="font-latex-math">0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$</span> etex,"}+                               
+             else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$</span> etex,"}+                               
            if(k0==1){"1"}else{"0"}+
                          ");";
             
@@ -838,68 +845,68 @@ if(nz&gt;2){
      krp:=evalf(limit(f(x),x=Z[r],1))&gt; 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:=<span class="flyspell-duplicate">lp</span>+if(<span class="flyspell-duplicate">member</span>(Z[r],<span class="flyspell-duplicate">IMIN</span>)!=0){"<span class="flyspell-duplicate">limGauche</span>(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+if(lmrm==1){
+     lp:=lp+if(member(Z[r],IMIN)!=0){"limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){
              "-\\infty"}else{
                 latex(simplify(limit(f(x),x=Z[r],-1)))}
-         +"$</span> <span class="flyspell-duplicate">etex</span>,"+if(<span class="flyspell-duplicate">krm</span>==1){
-             "1);"}<span class="flyspell-duplicate">else</span>{"0);"} 
-         +if(member(Z[r],F)==0){"<span class="flyspell-duplicate">debutNonDef</span>;"}<span class="flyspell-duplicate">else</span>{"<span class="flyspell-duplicate">debutNonDefStrict</span>;"}
-       }//<span class="flyspell-duplicate">fsi</span> <span class="flyspell-duplicate">Zr</span>=<span class="flyspell-duplicate">Imin</span>
-      <span class="flyspell-duplicate">else</span>{
-        if (member(Z[r],<span class="flyspell-duplicate">IMAX</span>)!=0){if(member(Z[r],F)==0){"<span class="flyspell-duplicate">fin</span><span class="flyspell-duplicate"><span class="flyspell-incorrect">NonDef</span></span>;"}<span class="flyspell-duplicate">else</span>{"<span class="flyspell-duplicate">fin</span><span class="flyspell-duplicate"><span class="flyspell-incorrect">NonDefStrict</span></span>;"}+"<span class="flyspell-duplicate">limDroite</span>(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+if(lmrp==1){
+         +"$</span> etex,"+if(krm==1){
+             "1);"}else{"0);"} 
+         +if(member(Z[r],F)==0){"debutNonDef;"}else{"debutNonDefStrict;"}
+       }//fsi Zr=Imin
+      else{
+        if (member(Z[r],IMAX)!=0){if(member(Z[r],F)==0){"finNonDef;"}else{"finNonDefStrict;"}+"limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){
              "-\\infty"}else{latex(simplify(limit(f(x),x=Z[r],1)))}
-         +"$</span> <span class="flyspell-duplicate">etex</span>,"+if(<span class="flyspell-duplicate">krp</span>==1){
-             "1);"}<span class="flyspell-duplicate">else</span>{"0);"}          
-       }<span class="flyspell-duplicate">else</span>{
-          if(<span class="flyspell-duplicate">member</span>(Z[r],F)){
-         "<span class="flyspell-duplicate">limGauche</span>(btex <span class="font-latex-math">$"+if(lmrm==1){
+         +"$</span> etex,"+if(krp==1){
+             "1);"}else{"0);"}          
+       }else{
+          if(member(Z[r],F)){
+         "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){
              "-\\infty"}else{
                 latex(simplify(limit(f(x),x=Z[r],-1)))}
-         +"$</span> etex,"+if(<span class="flyspell-duplicate">krm</span>==1){
-             "1);"}<span class="flyspell-duplicate">else</span>{"0);"}
-         +"<span class="flyspell-duplicate">nonDefBarre</span>;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){
+         +"$</span> etex,"+if(krm==1){
+             "1);"}else{"0);"}
+         +"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){
              "-\\infty"}else{latex(simplify(limit(f(x),x=Z[r],1)))}
-         +"$</span> etex,"+if(<span class="flyspell-duplicate">krp</span>==1){
-             "1);"}<span class="flyspell-duplicate">else</span>{"0);"}
-         }//<span class="flyspell-duplicate">fsi</span> (member Zr F)
-          else{"valPos(btex<span class="font-latex-math">$"+latex(simplify(f(Z[r])))+"$</span><span class="flyspell-duplicate">etex</span>,"+
+         +"$</span> etex,"+if(krp==1){
+             "1);"}else{"0);"}
+         }//fsi (member Zr F)
+          else{"valPos(btex<span class="font-latex-math">$"+latex(simplify(f(Z[r])))+"$</span>etex,"+
              if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){
-               "0.5);"}<span class="flyspell-duplicate">else</span>{
-                    if(<span class="flyspell-duplicate">krp</span>==1){
-                       "1);"}else{"0);"}//felse(<span class="flyspell-duplicate">krp</span>)
-                    }//felse(<span class="flyspell-incorrect">valpos</span>)
+               "0.5);"}else{
+                    if(krp==1){
+                       "1);"}else{"0);"}//felse(krp)
+                    }//felse(valpos)
                }//felse(member Zr F)
-               } //felse(Zr=<span class="flyspell-duplicate">Imax</span>)
-              }//felse(Zr=<span class="flyspell-duplicate">Imin</span>)
-           };//<span class="flyspell-incorrect">ffor</span> 
-         }//fsi <span class="flyspell-duplicate">nz</span>
+               } //felse(Zr=Imax)
+              }//felse(Zr=Imin)
+           };//ffor 
+         }//fsi nz
 
-<span class="flyspell-duplicate">lnz</span>:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>;
+lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
 
 
 
-<span class="flyspell-duplicate">lf</span>:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
+lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
            if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+
-             if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}}
+             if(kz==1){"1);"}else{"0);"}}
     else{"limGauche(btex <span class="font-latex-math">$"+
          if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+ 
-           if(kz==1){"1);nonDefBarre;"}else{"0);<span class="flyspell-duplicate">nonDefBarre</span>;"}};    
+           if(kz==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};    
     
 
 
     
 
-MetaLfc:=if(ftt==2){if(<span class="flyspell-duplicate">nz</span>&gt;2){"
+MetaLfc:=if(ftt==2){if(nz&gt;2){"
 
 beginTableau("+nmr+")"+
         l0+lsi+lsp+lsf+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}else{
-<span class="flyspell-duplicate">intro</span>+"beginTableau("+nmr+")"+
+intro+"beginTableau("+nmr+")"+
         l0+
 lsi+lsf+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";
 }
@@ -907,41 +914,41 @@ lsi+lsf+"
         l0+
 li+
 lp+
-<span class="flyspell-duplicate">lf</span>
+lf
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}else{"beginTableau("+nmr+")"+
         l0+
 li+
 lf
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}}else{
 if(nz&gt;2){"beginTableau("+nmr+")"+
         l0+
 lsi+lsp+lsf+
 li+
-<span class="flyspell-duplicate">lp</span>+
+lp+
 lf
 +"
 endTableau;
 
-";}else{"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+";}else{"beginTableau("+nmr+")"+
         l0+
 lsi+lsf+
 li+
 lf
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}
 }}
 
 
 sortie:=fopen("XCasmpfc.mp");
-<span class="flyspell-duplicate">fprint</span>(sortie,Unquoted,MetaLfc);
+fprint(sortie,Unquoted,MetaLfc);
 fclose(sortie);
 
  }
@@ -1148,25 +1155,25 @@ fclose(sortie);
 
 
 
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVI.cxx}
+<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{<span class="flyspell-duplicate">XcasTVI</span>.cxx}
 
 
 TVI(L,F,nom,nomv,f,ftt,ao,trigo,nmr):={
 nl:=size(L);
 f:=unapply(f,x);
-fp:=function_diff(f);
+<span class="flyspell-duplicate">fp</span>:=function_diff(f);
 Z:=concat(L,F);
 S:=[];
 
 
 if(trigo==t){
-all_trig_solutions:=1;
+<span class="flyspell-duplicate">all</span>_trig_solutions:=1;
 reset_solve_counter(-1,-1);
 SS:=solve(factor(simplify(fp(x))),x);
 ns:=size(SS);
 for(k:=0;k&lt;ns;k++){
 m:=0;
-while(evalf(simplify(subst(SS[k],n_1=m)))&lt;=evalf(L[nl-1])){
+<span class="flyspell-duplicate">while</span>(evalf(simplify(subst(SS[k],n_1=m)))&lt;=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))&gt;=L[0]){
@@ -1200,7 +1207,11 @@ LI:=limit(f(x),x,Z[0],1);
 LF:=limit(f(x),x,Z[nz-1],-1);
 LP:=NULL;
 PB:=1;
-if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){LP:=LP,if(member(Z[r],F)){limit(f(x),x,Z[r],-1),limit(f(x),x,Z[r],1)}else{f(Z[r])};if(member(Z[r],F)){PB:=PB,0,1}}};
+if(<span class="flyspell-duplicate">nz</span>&gt;2){                                                       for(r:=1;
+  r&lt;=nz-2;r++){LP:=LP,if(member(Z[r],F)){limit(f(x),x,Z[r],-1),limit(f(x),x,Z[r],1)}else{f(Z[r])};
+if(<span class="flyspell-duplicate">member</span>(Z[r],F)){<span class="flyspell-duplicate">PB</span>:=<span class="flyspell-duplicate">PB</span>,0,1}else{PB:=<span class="flyspell-duplicate">PB</span>,1};
+}
+};
 if(nz&gt;2){ LL:=[LI,LP,LF]; PB:=[PB,1]}else{LL:=[LI,LF];PB:=[1,1]};
       
 NL:=size(LL);
@@ -1217,6 +1228,280 @@ if(NL&gt;nz){for(k:=0;k&lt;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 <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:=<span class="flyspell-duplicate">kk</span>+1}};
+}
+
+ l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> <span class="flyspell-duplicate">etex</span>);"
+
+ };
+
+
+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);
+       k0:= evalf(limit(f(x),x=Z[0],1))&gt; evalf(limit(f(x),x=Z[1],-1));
+       kz:=evalf(limit(f(x),x=Z[nz-1],-1))&gt; evalf(limit(f(x),x=Z[nz-2],1));
+                          
+<span class="flyspell-duplicate">lsi</span>:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+
+     if(Z[0]==-infinity){if(evalf(sign(fp(if(Z[1]==+infinity){0}else{Z[1]-10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-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^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3))))==1){"plus;"}else{"moins;"}}else{"nonDefBarre;"+
+                                                         if(sign(fp(10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3)+Z[0]))==1){"plus;"}else{"moins;"} }}+if(TestS==0){"valBarre(btex$</span>  <span class="font-latex-math">$ etex);"+ if(sign(fp(10^</span><span class="font-latex-superscript"><span class="font-latex-math">(</span></span><span class="font-latex-math">-3)+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:=(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); 
+                                                 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 $</span>  <span class="font-latex-math">$ etex);"}else{" "}+if(TestS==0){if(ksp==1){"plus;"}else{"moins;"}}else{" "};
+                                          }}  
+else{for(r:=1; r&lt;=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))&gt;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]-</span><span class="font-latex-math"><span class="flyspell-duplicate">ao</span></span><span class="font-latex-math">))==0.0);
+                                         
+                      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 $</span>  <span class="font-latex-math">$ 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><span class="font-latex-math"><span class="flyspell-duplicate">nonDefBarre</span></span><span class="font-latex-math">;"}+
+                                  if(kspp==1){"plus;"}else{"moins;"};rr:=</span><span class="font-latex-math"><span class="flyspell-duplicate">rr</span></span><span class="font-latex-math">+1;}        
+}}}}; 
+
+
+
+
+ lsf:=if(member(Z[nz-1],F)==0){" "}else{"nonDefBarre;"}
+
+
+
+lm0:=limit(f(x),x=Z[0],1)==-</span><span class="font-latex-math"><span class="flyspell-duplicate">infinity</span></span><span class="font-latex-math">;
+
+
+
+
+TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))==0.0) or (evalf(sign(LL[1]-</span><span class="font-latex-math"><span class="flyspell-duplicate">ao</span></span><span class="font-latex-math">))==0.0);
+
+     li:=lvic+nom+"}$</span> etex);
+"+  if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$</span> etex,"}
+             else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplify(limit(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+" $</span> etex,0.5);"}else{" "}; 
+                         
+            
+                     if(nz&gt;2){if(nz==NL){for(r:=1; r&lt;=nz-2;r++){TestS:=(evalf(sign(LL[r]-ao))==evalf(sign(LL[r+1]-ao))) or (evalf(sign(LL[r]-ao))==0.0)or (evalf(sign(LL[r+1]-ao))==0.0); 
+                                                 krm:=evalf(limit(f(x),x=Z[r-1],1))&lt; evalf(limit(f(x),x=Z[r],-1));
+                                                 krp:=evalf(limit(f(x),x=Z[r],1))&gt; evalf(limit(f(x),x=Z[r+1],-1)) ;  
+                         lmrm:=limit(f(x),x=Z[r],-1)==-infinity;lmrp:=limit(f(x),x=Z[r],1)==-infinity;
+                                                  lp:=lp+if(member(Z[r],F)) {
+                                    "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplify(limit(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(simplify(limit(f(x),x=Z[r],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}}
+                                          else{"valPos(btex          <span class="font-latex-math">$"+latex(simplify(f(Z[r])))+"$</span>
+                                            etex,"+if(evalf(sign(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+if(TestS==0){"valPos(btex
+                                            <span class="font-latex-math">$ "+ao+" $</span> etex,0.5);"
+                                                           }else{" "}; 
+};//for                
+}else{rr:=1;for(r:=1; r&lt;=NL-2;r++){TestS:=(evalf(sign(LL[r]-ao))==evalf(sign(LL[r+1]-ao))) or (evalf(sign(LL[r]-ao))==0.0)or (evalf(sign(LL[r+1]-ao))==0.0); 
+                                                 krm:=evalf(limit(f(x),x=Z[rr-1],1))&lt; evalf(limit(f(x),x=Z[rr],-1));
+                                                 krp:=evalf(limit(f(x),x=Z[rr],1))&gt; evalf(limit(f(x),x=Z[rr+1],-1)) ;  
+                         lmrm:=limit(f(x),x=Z[rr],-1)==-infinity;lmrp:=limit(f(x),x=Z[rr],1)==-infinity; TestL:=(abs(LL[r])==abs(LL[r+1]));
+                   
+if(PB[r]==1){if(TestS==0){lp:=lp+if(member(Z[rr],F)){
+                                    "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplify(limit(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(simplify(limit(f(x),x=Z[rr],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}}
+                                          else{"valPos(btex          <span class="font-latex-math">$"+latex(simplify(f(Z[rr])))+"$</span>
+                                            etex,"+if(evalf(sign(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+"valPos(btex
+                                            <span class="font-latex-math">$ "+ao+" $</span> etex,0.5);
+                                                                 ";rr:=rr+1;
+}//  testS==0
+<span class="flyspell-duplicate">else</span>{lp:=lp+if(member(Z[rr],F)){
+                                    "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplify(limit(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(simplify(limit(f(x),x=Z[rr],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}}
+                                          else{"valPos(btex          <span class="font-latex-math">$"+latex(simplify(f(Z[rr])))+"$</span>
+                                            etex,"+if(evalf(sign(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);
+                                                            "}}};rr:=rr+1;
+}//else testS==0
+}//PB[r]==1
+}//for nz&lt;NL
+}// else nz&lt;NL
+//if nz=NL
+};//if <span class="flyspell-duplicate">nz</span>&gt;2
+
+
+
+lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
+
+
+lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
+           if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+
+             if(kz==1){"1);"}else{"0);"}}
+    else{"limGauche(btex <span class="font-latex-math">$"+
+         if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+ 
+           if(kz==1){"1);nonDefBarre;"}else{"0);<span class="flyspell-duplicate">nonDefBarre</span>;"}};    
+
+
+
+
+
+
+
+MetaLfc:= if(ftt==2){if(nz&gt;2){"beginTableau("+nmr+")"+
+        l0+lsi+lsp+lsf+"
+endTableau;
+
+";}<span class="flyspell-duplicate">else</span>{
+"beginTableau("+nmr+")"+
+        l0+
+lsi+lsf+"
+<span class="flyspell-duplicate">endTableau</span>;
+
+";
+}
+}else{
+if(ftt==0){if(nz&gt;2){"beginTableau("+nmr+")"+
+        l0+
+li+
+lp+
+<span class="flyspell-duplicate">lf</span>
++"
+endTableau;
+
+";}else{"beginTableau("+nmr+")"+
+        l0+
+li+
+lf
++"
+endTableau;
+";}}else{
+if(nz&gt;2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+        l0+
+lsi+lsp+lsf+
+li+
+lp+
+lf
++"
+<span class="flyspell-duplicate">endTableau</span>;
+
+";}else{"beginTableau("+nmr+")"+
+        l0+
+lsi+lsf+
+li+
+<span class="flyspell-duplicate">lf</span>
++"
+<span class="flyspell-duplicate">endTableau</span>;
+
+";}
+}};
+
+
+
+
+
+
+
+sortie:=fopen("XCasmpfc.mp");
+fprint(sortie,Unquoted,MetaLfc);
+fclose(sortie);
+
+
+ }:;
+
+
+
+<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</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><span class="comment-delimiter">% </span><span class="comment">Pour avoir les racines sous forme exacte.... quand c'est possible !
+</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>
+
+<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVIex.cxx}
+
+
+
+TVIex(L,F,nom,nomv,f,ftt,ao,trigo,nmr):={
+nl:=size(L);
+f:=unapply(f,x);
+fp:=function_diff(f);
+Z:=concat(L,F);
+S:=[];
+
+Sex:=NULL;
+Zex:=solve(f(x)=ao);
+Zex:=sort(Zex);
+for(j:=0;j&lt;size(Zex);j++){
+if((evalf(Zex[j])&gt;=evalf(L[0])) and (evalf(Zex[j])&lt;=evalf(L[nl-1]))){Sex:=Sex,Zex[j]};
+};
+Sex:=[Sex];
+
+
+
+
+
+
+
+
+if(trigo==t){
+all_trig_solutions:=1;
+reset_solve_counter(-1,-1);
+SS:=solve(factor(simplify(fp(x))),x);
+ns:=size(SS);
+for(k:=0;k&lt;ns;k++){
+m:=0;
+while(evalf(simplify(subst(SS[k],n_1=m)))&lt;=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))&gt;=L[0]){
+S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m-1;
+}
+}
+}else{
+S:=solve(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,simplify(S[j]))};
+                          fpour
+  fsi;
+
+Z:=sort(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;
+fpour;
+nz:=size(Z);
+l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";lsp:=" ";
+
+
+
+LI:=limit(f(x),x,Z[0],1);
+LF:=limit(f(x),x,Z[nz-1],-1);
+LP:=NULL;
+PB:=1;
+if(nz&gt;2){                                                       for(r:=1;
+  r&lt;=nz-2;r++){LP:=LP,if(member(Z[r],F)){limit(f(x),x,Z[r],-1),limit(f(x),x,Z[r],1)}else{f(Z[r])};
+if(member(Z[r],F)){PB:=PB,0,1}else{PB:=PB,1};
+}
+};
+if(nz&gt;2){ LL:=[LI,LP,LF]; PB:=[PB,1]}else{LL:=[LI,LF];PB:=[1,1]};
+      
+NL:=size(LL);
+A:=NULL;aa:=0;
+kk:=0;
+
+
+
+if(NL==nz){for(k:=0;k&lt;nz-1;k++){TestS:=(evalf(sign(LL[k]-ao))==evalf(sign(LL[k+1]-ao))) or (evalf(sign(LL[k]-ao))==0.0)or (evalf(sign(LL[k+1]-ao))==0.0);
+if(TestS==0){A:=A,aa;l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[k])+"$</span> etex);"+"val(btex <span class="font-latex-math">$"+latex(simplify(Sex[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])+"$</span> etex);"};
+//chgmt NL-&gt;nz
+if(NL&gt;nz){for(k:=0;k&lt;NL-1;k++){TestS:=(evalf(sign(LL[k]-ao))==evalf(sign(LL[k+1]-ao))) or (evalf(sign(LL[k]-ao))==0.0)or (evalf(sign(LL[k+1]-ao))==0.0);
+  
+if(PB[k]==1){if(TestS==0){
+   A:=A,aa;l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[kk])+"$</span> etex);"+"val(btex <span class="font-latex-math">$"+latex(simplify(Sex[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}};
 }
 
@@ -1300,24 +1585,24 @@ else{lp:=lp+if(member(Z[rr],F)){
                                           else{"valPos(btex          <span class="font-latex-math">$"+latex(simplify(f(Z[rr])))+"$</span>
                                             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
+}//else <span class="flyspell-duplicate">testS</span>==0
 }//PB[r]==1
 }//for nz&lt;NL
 }// else nz&lt;NL
 //if nz=NL
-};//if nz&gt;2
+};//if <span class="flyspell-duplicate">nz</span>&gt;2
 
 
 
 lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
 
 
-lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
-           if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+
+lf:=if(member(Z[nz-1],F)==0){"valPos(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+
+           if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"+
              if(kz==1){"1);"}else{"0);"}}
     else{"limGauche(btex <span class="font-latex-math">$"+
-         if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> etex,"+ 
-           if(kz==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};    
+         if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"+ 
+           if(kz==1){"1);nonDefBarre;"}else{"0);<span class="flyspell-duplicate">nonDefBarre</span>;"}};    
 
 
 
@@ -1327,13 +1612,13 @@ lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
 
 MetaLfc:= if(ftt==2){if(nz&gt;2){"beginTableau("+nmr+")"+
         l0+lsi+lsp+lsf+"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
 
 ";}else{
 "beginTableau("+nmr+")"+
         l0+
 lsi+lsf+"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
 
 ";
 }
@@ -1341,12 +1626,12 @@ endTableau;
 if(ftt==0){if(nz&gt;2){"beginTableau("+nmr+")"+
         l0+
 li+
-lp+
+<span class="flyspell-duplicate">lp</span>+
 lf
 +"
 endTableau;
 
-";}else{"beginTableau("+nmr+")"+
+";}else{"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
         l0+
 li+
 lf
@@ -1358,7 +1643,7 @@ if(nz&gt;2){"beginTableau("+nmr+")"+
 lsi+lsp+lsf+
 li+
 lp+
-lf
+<span class="flyspell-duplicate">lf</span>
 +"
 endTableau;
 
@@ -1368,7 +1653,7 @@ lsi+lsf+
 li+
 lf
 +"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
 
 ";}
 }};
@@ -1378,7 +1663,6 @@ endTableau;
 
 
 
-
 sortie:=fopen("XCasmpfc.mp");
 fprint(sortie,Unquoted,MetaLfc);
 fclose(sortie);
@@ -1387,7 +1671,6 @@ fclose(sortie);
  }:;
 
 
-
 <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
 
 
@@ -1406,7 +1689,7 @@ fclose(sortie);
 
 <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVIapp.cxx}
 
-TVIapp(L,F,nom,nomv,f,ftt,ao,nmr):={
+<span class="flyspell-duplicate">TVIapp</span>(L,F,nom,nomv,f,ftt,ao,<span class="flyspell-duplicate">nmr</span>):={
 
 
 nl:=size(L);
@@ -1422,8 +1705,8 @@ 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,resoudre_numerique(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,resoudre_numerique(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,resoudre_numerique(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,resoudre_numerique(fp(x),x,k/10,newton_solver);end_for;  }}};
+<span class="flyspell-duplicate">else</span>{if(L[1]==+infinity){j:=[seq(k,k=floor(L[0])..100)] minus F;for k in j do S:=S,resoudre_numerique(fp(x),x,k/10,newton_solver);end_for;}
+<span class="flyspell-duplicate">else</span>{ j:=[seq(k,k=floor(z[0])..floor(z[nz-1]))] minus F;for k in j do S:=S,resoudre_numerique(fp(x),x,k/10,newton_solver);end_for;  }}};
 
 
 
@@ -1433,10 +1716,10 @@ else{ j:=[seq(k,k=floor(z[0])..floor(z[nz-1]))] minus F;for k in j do S:=S,resou
 
 
 si size(S)&gt;0 alors   pour j de 0 jusque size(S)-1 faire 
-                             kk:=(re(S[j])==S[j]);kok:=(evalf(S[j])&gt;=L[0]) and (evalf(S[j])&lt;=L[1]);
+                             kk:=(re(S[j])==S[j]);kok:=(evalf(S[j])&gt;=L[0]) and (<span class="flyspell-duplicate">evalf</span>(S[j])&lt;=L[1]);
                           if(kk==1){if(kok==1){z:=append(z,simplify(S[j]))}};
                           fpour;
-fsi;
+<span class="flyspell-duplicate">fsi</span>;
 
 
 S:=NULL;
@@ -1461,16 +1744,20 @@ for(j:=1;j&lt;nz;j++){
 Z:=[S]; 
 
 
-nz:=size(Z);
+<span class="flyspell-duplicate">nz</span>:=size(Z);
 l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";lsp:=" ";
 
 
 
 LI:=limit(f(x),x,Z[0],1);
-LF:=limit(f(x),x,Z[nz-1],-1);
+<span class="flyspell-duplicate">LF</span>:=limit(f(x),x,Z[nz-1],-1);
 LP:=NULL;
 PB:=1;
-if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){LP:=LP,if(member(Z[r],F)){limit(f(x),x,Z[r],-1),limit(f(x),x,Z[r],1)}else{f(Z[r])};if(member(Z[r],F)){PB:=PB,0,1}}};
+if(<span class="flyspell-duplicate">nz</span>&gt;2){                                                       for(r:=1;
+  r&lt;=nz-2;r++){LP:=LP,if(member(Z[r],F)){limit(f(x),x,Z[r],-1),limit(f(x),x,Z[r],1)}else{f(Z[r])};
+if(<span class="flyspell-duplicate">member</span>(Z[r],F)){<span class="flyspell-duplicate">PB</span>:=<span class="flyspell-duplicate">PB</span>,0,1}else{PB:=<span class="flyspell-duplicate">PB</span>,1};
+}
+};
 if(nz&gt;2){ LL:=[LI,LP,LF]; PB:=[PB,1]}else{LL:=[LI,LF];PB:=[1,1]};
       
 NL:=size(LL);
@@ -1631,13 +1918,13 @@ lf
 +"
 endTableau;
 
-";}else{"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+";}else{"beginTableau("+nmr+")"+
         l0+
 lsi+lsf+
 li+
 lf
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}
 }};
@@ -1664,7 +1951,7 @@ fclose(sortie);
 
 
 <span class="comment-delimiter">%%</span><span class="comment">
-</span><span class="comment-delimiter">%% </span><span class="comment">Code giac/Xcas pour les Tableaux de variations de courbes </span><span class="comment"><span class="flyspell-duplicate">parametrees</span></span><span class="comment">
+</span><span class="comment-delimiter">%% </span><span class="comment">Code giac/Xcas pour les Tableaux de variations de courbes parametrees
 </span><span class="comment-delimiter">%%</span><span class="comment">
 </span>
 
@@ -1674,7 +1961,7 @@ fclose(sortie);
 
 
 <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVP.cxx}
-<span class="flyspell-duplicate">TVP</span>(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:=[];
@@ -1685,20 +1972,20 @@ LLL:=[];
 
 
 all_trig_solutions:=1;
-reset_solve_<span class="flyspell-duplicate">counter</span>(-1,-1);
+reset_solve_counter(-1,-1);
 
 for(d:=0;d&lt;=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;
-<span class="flyspell-duplicate">SS</span>:=solve(factor(simplify(fp[d](t))),t);
+SS:=solve(factor(simplify(fp[d](t))),t);
 ns:=size(SS);
 
 for(k:=0;k&lt;ns;k++){
 if(trigo==t){
 m:=0;
-<span class="flyspell-duplicate">while</span>(evalf(simplify(subst(SS[k],n_1=m)))&lt;=evalf(L[nl-1])){
+while(evalf(simplify(subst(SS[k],n_1=m)))&lt;=evalf(L[nl-1])){
 
 S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m+1;
 
@@ -1709,7 +1996,7 @@ S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m-1;
 
 }
 }else{
-S:=concat(S,<span class="flyspell-duplicate">SS</span>);
+S:=concat(S,SS);
 }
 }
 
@@ -1725,7 +2012,7 @@ nz:=size(Z);
 
 
  tantque evalf(Z[0])==evalf(Z[1]) faire Z:=Z[1..nz-1];nz:=size(Z);
-     <span class="flyspell-duplicate">ftantque</span>;
+     ftantque;
 
 
 
@@ -1737,7 +2024,7 @@ u:=1;
          Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=size(Z);
      ftantque;
   u:=u+1;
- <span class="flyspell-duplicate">ftantque</span>;
+ ftantque;
 
 
  };
@@ -1751,7 +2038,7 @@ nz:=size(Z);
 pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex);
 ";fpour;
 
- <span class="flyspell-duplicate">lsi</span>:="","";
+ lsi:="","";
 
 FFF:=[[],[]];
 
@@ -1761,7 +2048,7 @@ FFF[d]:=concat(F[d],[-infinity,+infinity]);
        kz:=evalf(limit(f[d](x),x=Z[nz-1],-1))&gt; evalf(limit(f[d](x),x=Z[nz-2],1));
 //}
 //<span class="font-latex-math">$
- lsi[d]:=lsic+nom[d]+"'("+nomv+")}$</span> etex);"+if(member(Z[0],FFF[d])==0){"valBarre(btex <span class="font-latex-math">$"+latex(simplify(fp[d](Z[0])))+"$</span> etex);"}else{if(Z[0]==-infinity){" "}else{"<span class="flyspell-duplicate">nonDefBarre</span>;
+ lsi[d]:=lsic+nom[d]+"'("+nomv+")}$</span> etex);"+if(member(Z[0],FFF[d])==0){"valBarre(btex <span class="font-latex-math">$"+latex(simplify(fp[d](Z[0])))+"$</span> 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{
@@ -1772,7 +2059,7 @@ if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){      ksp:=evalf(fp[d](Z[r]+0.01))&gt;0;
                                                 if(ksp==1){"plus;"}else{"moins;"}
                                                   }; }
 
-lsf[d]:=if(member(Z[nz-1],FFF[d])==0){"valBarre(btex <span class="font-latex-math">$"+latex(simplify(fp[d](Z[nz-1])))+"$</span> etex);"}else{if(Z[nz-1]==+infinity){" "}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}}
+lsf[d]:=if(member(Z[nz-1],FFF[d])==0){"valBarre(btex <span class="font-latex-math">$"+latex(simplify(fp[d](Z[nz-1])))+"$</span> etex);"}else{if(Z[nz-1]==+infinity){" "}else{"nonDefBarre;"}}
 
 
 
@@ -1798,10 +2085,10 @@ for(d:=0;d&lt;=1;d++){
 //{
 //<span class="font-latex-math">$
 lm0[d]:=limit(f[d](x),x,Z[0],1)==-infinity;
-     li[d]:=lvic+nom[d]+"}$</span> <span class="flyspell-duplicate">etex</span>);"+
+     li[d]:=lvic+nom[d]+"}$</span> etex);"+
            if(member(Z[0],F[d])==0){"valPos(btex <span class="font-latex-math">$"+if(lm0[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[0],1)))}+"$</span> etex,"}
              else{"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lm0[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[0],1)))}+"$</span> etex,"}+
-           if(K0[d]==1){"1"}<span class="flyspell-duplicate">else</span>{"0"}+
+           if(K0[d]==1){"1"}else{"0"}+
                          ");";
 
                      if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ krm[d]:=evalf(limit(f[d](x),x=Z[r-1],1))&lt; evalf(limit(f[d](x),x=Z[r],-1));
@@ -1810,21 +2097,21 @@ lm0[d]:=limit(f[d](x),x,Z[0],1)==-infinity;
                                                   lp[d]:=lp[d]+if(member(Z[r],F[d])){
                                     "limGauche(btex
                                     <span class="font-latex-math">$"+if(lmrm[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[r],-1)))}+"$</span>
-                                    etex,"+if(krm[d]==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+if(lmrp[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[r],1)))}+"$</span> etex,"+if(krp[d]==1){"1);"}else{"0);"}}
+                                    etex,"+if(krm[d]==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x,Z[r],1)))}+"$</span> etex,"+if(krp[d]==1){"1);"}else{"0);"}}
                                           else{"valPos(btex          <span class="font-latex-math">$"+latex(simplify(f[d](Z[r])))+"$</span>
-                                            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);"}<span class="flyspell-duplicate">else</span>{"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(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+
+lf[d]:=if(member(Z[nz-1],F[d])==0){"valPos(btex <span class="font-latex-math">$"+
            if(lnz[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x=Z[nz-1],-1)))}+"$</span> etex,"+
              if(Kz[d]==1){"1);"}else{"0);"}}
     else{"limGauche(btex <span class="font-latex-math">$"+
          if(lnz[d]==1){"-\\infty"}else{latex(simplify(limit(f[d](x),x=Z[nz-1],-1)))}+"$</span> etex,"+ 
-           if(Kz[d]==1){"1);nonDefBarre;"}else{"0);<span class="flyspell-duplicate">nonDefBarre</span>;"}};    
+           if(Kz[d]==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};    
     
 
 
@@ -1844,13 +2131,13 @@ MetaLfc:=if(ftt==2){if(nz&gt;2){"
 
 beginTableau("+nmr+")"+
         l0+lsi[0]+lsp[0]+lsf[0]+lsi[1]+lsp[1]+lsf[1]+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}else{
 intro+"beginTableau("+nmr+")"+
         l0+
 lsi[0]+lsf[0]+lsi[1]+lsf[1]+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";
 }
@@ -1861,18 +2148,18 @@ lp[0]+
 lf[0]+
 li[1]+
 lp[1]+
-<span class="flyspell-duplicate">lf</span>[1]
+lf[1]
 +"
 endTableau;
 
 ";}else{"beginTableau("+nmr+")"+
         l0+
 li[0]+
-<span class="flyspell-duplicate">lf</span>[0]+
+lf[0]+
 li[1]+
 lf[1]
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}}else{
 if(nz&gt;2){"beginTableau("+nmr+")"+
@@ -1880,24 +2167,24 @@ if(nz&gt;2){"beginTableau("+nmr+")"+
 lsi[0]+lsp[0]+lsf[0]+
 li[0]+
 lp[0]+
-<span class="flyspell-duplicate">lf</span>[0]+
+lf[0]+
 lsi[1]+lsp[1]+lsf[1]+
 li[1]+
 lp[1]+
 lf[1]
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}else{"beginTableau("+nmr+")"+
         l0+
 lsi[0]+lsf[0]+
 li[0]+
-<span class="flyspell-duplicate">lf</span>[0]+
+lf[0]+
 lsi[1]+lsf[1]+
 li[1]+
 lf[1]
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}
 }
@@ -2703,7 +2990,7 @@ read("XCasTVP.user");
 
 
 
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{<span class="flyspell-duplicate">XCasTVZ</span>.giac}
+<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVZ.giac}
 maple_mode(0);
 read("config.cxx");
 read("XcasTVZ.cxx");
@@ -2774,7 +3061,32 @@ read("XCasTVI.user");
 </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="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{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>{TVI}}
+</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"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVIex.giac}
+maple_mode(0);
+read("config.cxx");
+read("XcasTVIex.cxx");
+read("XCasTVIex.user");
+<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">{TVIex}</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>??]{XCasTVIex.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>{TVIex}}
+
+
+<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVIex*}</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="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVIex.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">TVIex</span>}}
+
+
+
 
 
 
@@ -2797,7 +3109,7 @@ read("XCasTVIapp.user");
 </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="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVIapp.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>{TVIapp}}
+</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">TVIapp</span>}}
 
 
 
@@ -2806,7 +3118,7 @@ read("XCasTVIapp.user");
 <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVPC.giac}
 maple_mode(0);
 read("config.cxx");
-read("XcasTVPC.cxx");
+<span class="flyspell-duplicate">read</span>("XcasTVPC.cxx");
 read("XCasTVPC.user");
 <span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
 
@@ -2817,9 +3129,9 @@ read("XCasTVPC.user");
 
 <span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVPC*}</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"><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="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVPC.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>{TVPC}}
+</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">TVPC</span>}}
 
 
 
@@ -2834,14 +3146,14 @@ read("XCasTVPC.user");
 
 <span class="comment-delimiter">%% </span><span class="comment">pour nettoyer les fichiers auxiliaires
 </span>
-<span class="font-latex-sedate">\AtEndDocument</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span>  queue.mp &gt;&gt; <span class="font-latex-sedate">\nomtravail</span>.Tab.mp}
+<span class="font-latex-sedate">\AtEndDocument</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span>  queue.mp &gt;&gt; <span class="font-latex-sedate">\nomtravail</span>.Tab.<span class="flyspell-duplicate">mp</span>}
                          }
 
 
 
 
 <span class="comment-delimiter">%%</span><span class="comment">
-</span><span class="comment-delimiter">%% </span><span class="comment">Zi end -&gt; enjoy :)
+</span><span class="comment-delimiter">%% </span><span class="comment">Zi end -&gt; </span><span class="comment"><span class="flyspell-incorrect">enjoy</span></span><span class="comment"> :)
 </span></pre>
   </body>
 </html>
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.pdf b/Master/texmf-dist/doc/latex/tablor/tablor.pdf
index 6cae88990c4..1c5b39b2bd2 100644
--- a/Master/texmf-dist/doc/latex/tablor/tablor.pdf
+++ b/Master/texmf-dist/doc/latex/tablor/tablor.pdf
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.tex b/Master/texmf-dist/doc/latex/tablor/tablor.tex
index 033d101e4d0..3eb0c0dfbdd 100644
--- a/Master/texmf-dist/doc/latex/tablor/tablor.tex
+++ b/Master/texmf-dist/doc/latex/tablor/tablor.tex
@@ -86,7 +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{7 février 2009 - Version 4.03}
+\date{7 mars 2009 - Version 4.04}
 
 
 
@@ -169,6 +169,11 @@ Les frontières  des zones interdites  sont assorties  de doubles
 barres si nécessaire. (version 4.03)
 
 
+Un  nouvel environnement  TVIex  est  créé pour  avoir  les racines  des
+valeurs intermédiaires sous forme exacte quand c'est possible.(version 4.04)
+
+Un bug dans tous les TVI est corrigé.(Version 4.04)
+
 \subsection{Professor.sty}
 
 
@@ -1090,6 +1095,80 @@ TVI([-10,+infinity],[-1,1],"f","x",x^2/(x^2-1),1,-1,n,\tv)
 
 
 
+\subsection{Tableau   des   variations   avec   théorème   des   valeurs
+  intermédiaires et racines sous forme exacte}
+
+Si l'on veut mettre en  évidence les solutions de l'équation $f(x)=a$ et
+qu'on  veut  faire apparaître  les  racines  sous  forme exacte  et  pas
+seulement sous forme d'$\alpha_i$, on utilise l'environnement
+\texttt{TVIex}.
+
+La syntaxe est la même que \texttt{TVI}~:
+
+\begin{lstlisting}
+TVIex([borne inf,borne sup],[valeurs interdites],"nom fonction","nom variable",expression en fonction de x,t,a,trigo,\tv)
+\end{lstlisting}
+
+Les paramètres sont les mêmes que pour \texttt{TV} mais on ajoute la valeur \texttt{a} bien sûr.
+
+
+Par exemple, pour $f~:~x\mapsto \frac{x^2}{x^2-1}$ et l'équation $f(x)=10$ on entre~:
+
+\begin{lstlisting}
+\begin{TVIex}
+TVIex([-10,+infinity],[-1,1],"f","x",x^2/(x^2-1),1,10,n,\tv)
+\end{TVIex}
+\end{lstlisting}
+
+
+et on obtient~:
+
+\ech{0.9}
+\begin{TVIex}
+TVIex([-10,+infinity],[-1,1],"f","x",x^2/(x^2-1),1,10,n,\tv)
+\end{TVIex}
+\ech{1}
+
+Si l'équation est plutôt $f(x)=-1$~:
+
+
+\begin{lstlisting}
+\begin{TVIex}
+TVIex([-10,+infinity],[-1,1],"f","x",x^2/(x^2-1),1,-1,n,\tv)
+\end{TVIex}
+\end{lstlisting}
+
+
+et on obtient~:
+
+\begin{TVIex}
+TVIex([-10,+infinity],[-1,1],"f","x",x^2/(x^2-1),1,-1,n,\tv)
+\end{TVIex}
+
+Avec une équation trigonométrique~:
+
+\begin{lstlisting}
+\begin{TVIex}
+TVIex([-pi,pi],[],"@cos","x",cos(x),1,1/2,t,\tv)
+\end{TVIex}
+\end{lstlisting}
+
+\begin{TVIex}
+TVIex([-pi,pi],[],"@cos","x",cos(x),1,1/2,t,\tv)
+\end{TVIex}
+
+
+\begin{figure}[!h]
+  \begin{DANGER}{Racines formelles non calculables}
+    XCAS peut ne  pas pouvoir trouver une expression  exacte des racines
+    et affichera un message barbare du style~:
+
+\texttt{Unable to isolate x in ...}
+
+Le tableau ne sera alors pas construit et vous aurez un message d'erreur.
+    \end{DANGER}
+  \end{figure}
+
 
 \subsection{Tableaux de variations avec approximation des zéros de la dérivée}
 
@@ -1711,6 +1790,16 @@ TVI([0,pi],[pi/2],"@tan","t",tan(x),1,7,t,\tv)
 \end{TVI}
 
 
+\begin{lstlisting}
+\begin{TVIex}
+TVIex([0,pi],[pi/2],"@tan","t",tan(x),1,7,t,\tv)
+\end{TVIex}
+\end{lstlisting}
+
+\begin{TVIex}
+TVIex([0,pi],[pi/2],"@tan","t",tan(x),1,7,t,\tv)
+\end{TVIex}
+
 
 \begin{lstlisting}
 \begin{TVI}
@@ -1722,6 +1811,23 @@ TVI([-1,1],[],"f","x",(1-x)*sqrt(1-x^2),1,1,n,\tv)
 TVI([-1,1],[],"f","x",(1-x)*sqrt(1-x^2),1,1,n,\tv)
 \end{TVI}
 
+
+
+
+\begin{lstlisting}
+\begin{TVIex}
+TVIex([-1,1],[],"f","x",(1-x)*sqrt(1-x^2),1,1,n,\tv)
+\end{TVIex}
+\end{lstlisting}
+
+\begin{TVIex}
+TVIex([-1,1],[],"f","x",(1-x)*sqrt(1-x^2),1,1,n,\tv)
+\end{TVIex}
+
+
+
+
+
 \begin{lstlisting}
 \begin{TV}
 TV([-1,+infinity],[-1],"f","x",ln(1+x)-(x-x^2/2+x^3/3),1,n,\tv)
@@ -1806,6 +1912,19 @@ TVI([0,+infinity],[0],"f","x",ln(x)-(ln(x))^2,1,-1,n,\tv)
 \end{TVI}
 
 
+\begin{lstlisting}
+\begin{TVIex}
+TVIex([0,+infinity],[0],"f","x",ln(x)-(ln(x))^2,1,-1,n,\tv)
+\end{TVIex}
+\end{lstlisting}
+
+
+
+\begin{TVIex}
+TVIex([0,+infinity],[0],"f","x",ln(x)-(ln(x))^2,1,-1,n,\tv)
+\end{TVIex}
+
+
 
 \begin{lstlisting}
 \begin{TSc}