tablor update (19apr09)

git-svn-id: svn://tug.org/texlive/trunk@12753 c570f23f-e606-0410-a88d-b1316a301751
author: Karl Berry <karl@freefriends.org> 2009-04-20 00:11:54 +0000
committer: Karl Berry <karl@freefriends.org> 2009-04-20 00:11:54 +0000
commit: 66177f74989fac44bc5003990547ae9fcb5e8b00 (patch)
tree: 6b7378caf0dfd78309958f2246b7c319478abe16
parent: b3594201954d5e5c7b4894579aeddaa5c0112c1c (diff)
62 files changed, 7046 insertions, 6495 deletions
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diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.6 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.6
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index 18a07c0552f..6032d17aa89 100644
--- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.7
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index f475326cf73..d84d0cd11f3 100644
--- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.9
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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 0ac35f7a1c8..7542f5b669b 100644
--- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp
+++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp
@@ -45,16 +45,11 @@ newLigneVariables(btex $ {x}$ etex);
    val(btex $-\infty $ etex);val(btex $\frac{-3}{5}$ etex);
 val(btex $2$ etex);
 val(btex $+\infty $ etex); 
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(45 x\right)-27}$ etex);
-                              plus;
-                                valBarre(btex 0 etex);moins;barre;moins;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(45 x\right)-27}$ etex); plus; valBarre(btex 0 etex);moins;barre;moins;
      
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 2-x}$ etex);
-                              plus;barre;
-                              plus;valBarre(btex 0 etex);moins;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 2-x}$ etex); plus;barre;plus;valBarre(btex 0 etex);moins;
      
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @varphi(x)}$ etex);
-                              plus;valBarre(btex 0 etex); moins;nonDefBarre;plus; 
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle @varphi(x)}$ etex); plus;valBarre(btex 0 etex); moins;nonDefBarre;plus; 
 endTableau;
 
 beginTableau(3) newLigneVariables(btex $x$ etex);val(btex $-5$ etex);
@@ -181,6 +176,15 @@ 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(15) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $     0.337860$ etex);val(btex $\alpha_2$ etex);val(btex $     1.745534$ etex);val(btex $+\infty $ etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g''(x)}$ etex);nonDefBarre;moins;valBarre(btex$  $ etex);moins; valBarre(btex 0 etex);plus;valBarre(btex $  $ etex);plus;valBarre(btex 0 etex);moins;   
+newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle g'}$ etex);
+nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $ 0 $ etex,0.5); valPos(btex          $    -0.530055$
+                                            etex,0);valPos(btex
+                                            $ 0 $ etex,0.5);valPos(btex          $     1.534460$
+                                            etex,1); valPos(btex $0$ etex,0);
+endTableau;
+
 beginTableau(16) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
 val(btex $     0.212584$ etex);
 val(btex $     0.584635$ etex);
@@ -193,7 +197,18 @@ newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle g}$ etex);no
 valPos(btex $+\infty $ etex,1);
 endTableau;
 
-beginTableau(17) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex);
+beginTableau(17) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
+val(btex $     0.001000$ etex);
+val(btex $     0.002000$ etex);
+val(btex $+\infty $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle g'(x)}$ etex);nonDefBarre;plus; valBarre(btex 0 etex);plus;valBarre(btex 0 etex);plus;
+newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle g}$ etex);nonDefBarre;limDroite(btex $     0.000000$ etex,0); valPos(btex          $     0.000000$
+                                            etex,0.5);valPos(btex          $     0.000000$
+                                            etex,0.5);valPos(btex $+\infty $ etex,1);
+endTableau;
+
+beginTableau(18) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex);
 val(btex $0$ etex);
 val(btex $+\infty $ etex);
 
@@ -203,7 +218,7 @@ newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle g}$ etex);va
                                     etex,0);valPos(btex $1$ etex,1);
 endTableau;
 
-beginTableau(18) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
+beginTableau(19) 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);
@@ -223,7 +238,7 @@ newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle y}$ etex);va
 valPos(btex $0$ etex,1);
 endTableau;
 
-beginTableau(19) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex);
+beginTableau(20) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex);
 val(btex $-4$ etex);
 val(btex $-1$ etex);
 val(btex $0$ etex);
@@ -250,7 +265,7 @@ valPos(btex          $\frac{16}{3}$
 endTableau;
 
 
-          beginTableau(20)
+          beginTableau(21)
    newLigneVariables(btex $ {x}$ etex);
    val(btex $-\infty$ etex);val(btex $\frac{3}{2}$ etex);
 val(btex $5$etex);
@@ -260,7 +275,7 @@ 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(21)
+  beginTableau(22)
 newLigneVariables(btex $ {x}$ etex);
    val(btex $-\infty $ etex);val(btex $-\left(\sqrt{2}\right)$ etex);
 val(btex $-1$ etex);
@@ -309,7 +324,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle P(x)}$ etex);
                               
 endTableau;
 
-   beginTableau(22)
+   beginTableau(23)
 newLigneVariables(btex $ {x}$ etex);
    val(btex $-15$ etex);val(btex $-10$ etex);
 val(btex $10$ etex); 
@@ -326,7 +341,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f(x)}$ etex);
 endTableau;
 
  
-beginTableau(23)
+beginTableau(24)
 newLigneVariables(btex $ {x}$ etex);
    val(btex $-\infty $ etex);val(btex $-4$ etex);
 val(btex $\frac{5}{4}$ etex);
@@ -334,55 +349,32 @@ val(btex $\frac{3}{2}$ etex);
 val(btex $2$ etex);
 val(btex $4$ etex);
 val(btex $+\infty $ etex); 
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(2 x\right)+3}$ etex);
-                              plus;barre;
-                              plus;barre;
-                              plus;
-                                valBarre(btex 0 etex);moins;barre;
-                              moins;barre;moins;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(2 x\right)+3}$ etex); plus;barre;plus;barre;plus; valBarre(btex 0 etex);moins;barre;moins;barre;moins;
      
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(4 x\right)+5}$ etex);
-                              plus;barre;
-                              plus;
-                                valBarre(btex 0 etex);moins;barre;
-                              moins;barre;
-                              moins;barre;moins;
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle -\left(4 x\right)+5}$ etex); plus;barre;plus; valBarre(btex 0 etex);moins;barre;moins;barre;moins;barre;moins;
      
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x^{2}-16}$ etex);
-                              plus;
-                                valBarre(btex 0 etex);moins;barre;
-                              moins;barre;
-                              moins;barre;
-                              moins;valBarre(btex 0 etex);plus; 
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x-2}$ etex);
-                              moins;barre;
-                              moins;barre;
-                              moins;barre;
-                              moins;
-                                valBarre(btex 0 etex);plus;barre;plus; 
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle Q(x)}$ etex);
-                              moins;nonDefBarre; plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;nonDefBarre;moins;nonDefBarre;plus; 
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x^{2}-16}$ etex); plus; valBarre(btex 0 etex);moins;barre;moins;barre;moins;barre;moins;valBarre(btex 0 etex);plus; 
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x-2}$ etex); moins;barre;moins;barre;moins;barre;moins; valBarre(btex 0 etex);plus;barre;plus; 
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle Q(x)}$ etex); moins;nonDefBarre; plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;nonDefBarre;moins;nonDefBarre;plus; 
 endTableau;
 
 
-beginTableau(24)
+beginTableau(25)
 newLigneVariables(btex $ {x}$ etex);
-   val(btex $-\infty $ etex);val(btex $-10$ etex);
+   val(btex $-10$ etex);val(btex $-3$ etex);
+val(btex $5$ etex);
 val(btex $10$ etex); 
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x-10}$ etex);
-                              moins;barre;moins;
-    
-                                valBarre(btex 0 etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x+10}$ etex);
-                              moins;valBarre(btex 0 etex);plus; 
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle Q(x)}$ etex);
-                              plus;nonDefBarre; moins;
-                                valBarre(btex 0 etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x-10}$ etex); moins;barre;moins;barre;moins;
+    valBarre(btex 0 etex);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x-5}$ etex); moins;barre;moins;valBarre(btex 0 etex);plus; 
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x+10}$ etex); valBarre(btex 0 etex);plus;barre;plus;barre;plus; 
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x+3}$ etex); moins; valBarre(btex 0 etex);plus;barre;plus; 
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle Q(x)}$ etex);nonDefBarre;moins;nonDefBarre; plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);
 endTableau;
 
 
 
-beginTableau(25)
+beginTableau(26)
 newLigneVariables(btex $\displaystyle  {x}$ etex);
    val(btex $-10$ etex);val(btex $-5$ etex);
 val(btex $10$ etex);
@@ -393,7 +385,7 @@ endTableau;
 
 
 
-beginTableau(26)
+beginTableau(27)
 newLigneVariables(btex $\displaystyle  {x}$ etex);
    val(btex $-10$ etex);val(btex $2$ etex);
 val(btex $5$ etex);
@@ -404,7 +396,7 @@ endTableau;
 
 
 
-beginTableau(27)
+beginTableau(28)
 newLigneVariables(btex $\displaystyle  {x}$ etex);
    val(btex $0$ etex);val(btex $\frac{\pi }{2}$ etex);
 val(btex $\pi $ etex);
@@ -415,28 +407,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \tan\left(x\right)}$ e
                                 valBarre(btex 0 etex); plus;nonDefBarre;moins;valBarre(btex 0 etex);plus;nonDefBarre;moins;valBarre(btex 0 etex);
 endTableau;
 
-  beginTableau(105)
-newLigneVariables(btex $ {x}$ 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);
-                              moins;
-                                valBarre(btex 0 etex);plus;barre;
-                              plus;barre;plus;
-                              
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 5 x^{2}-1}$ etex);
-                              plus;barre;
-                              plus;
-                                valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;
-                              
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle F(x)}$ etex);
-                              moins;valBarre(btex 0 etex); plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;
-                              
-endTableau;
-
- 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);
+beginTableau(29) 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          $-1$
@@ -444,7 +415,7 @@ nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $ 2 $ etex,0.5); valPo
                                             $ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1);
 endTableau;
 
-beginTableau(29) newLigneVariables(btex $x$ etex);val(btex $\frac{-1}{2}$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
+beginTableau(30) 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          $0$
@@ -452,20 +423,20 @@ valPos(btex $\frac{1}{4}$ etex,1);  valPos(btex          $0$
                                             $ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1);
 endTableau;
 
-beginTableau(30) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
+beginTableau(31) 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(32) newLigneVariables(btex $x$ etex);val(btex $1$ etex);
+beginTableau(33) 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(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);
+beginTableau(34) 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          $1$
@@ -473,7 +444,7 @@ 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(34) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
+beginTableau(35) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
 val(btex $\pi $ etex);
 val(btex $2 \pi $ etex);
 
@@ -483,19 +454,19 @@ newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle @cos}$ etex)
 valPos(btex $1$ etex,1);
 endTableau;
 
-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);
+beginTableau(36) 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);
+beginTableau(37) newLigneVariables(btex $t$ etex);val(btex $0$ etex);val(btex $\mathrm{atan}\left(7\right)$ 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(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);
+beginTableau(38) 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          $\frac{3 \sqrt{3}}{4}$
@@ -503,7 +474,7 @@ 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(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);
+beginTableau(39) 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          $\frac{3 \sqrt{3}}{4}$
@@ -511,7 +482,7 @@ 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(39) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);
+beginTableau(40) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);
 val(btex $0$ etex);
 val(btex $+\infty $ etex);
 
@@ -520,7 +491,7 @@ newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle f}$ etex);no
                                             etex,1);valPos(btex $-\infty$ etex,0);
 endTableau;
 
-  beginTableau(40)
+  beginTableau(41)
 newLigneVariables(btex $ {x}$ etex);
    val(btex $-10$ etex);val(btex $\frac{(-\left(\sqrt{5}\right)-3)}{2}$ etex);
 val(btex $-1$ etex);
@@ -562,7 +533,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle G(x)}$ etex);
                               
 endTableau;
 
- beginTableau(41) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);val(btex $-3$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
+ beginTableau(42) 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          $-\left(e^{-4}\right)-1$
@@ -570,7 +541,7 @@ valPos(btex $-1$ etex,1);  valPos(btex          $-\left(e^{-4}\right)-1$
                                             $ 0 $ etex,0.5);valPos(btex $+\infty $ etex,1);
 endTableau;
 
-beginTableau(42) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
+beginTableau(43) 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          $2$
@@ -578,7 +549,7 @@ valPos(btex $1$ etex,0);  valPos(btex          $2$
                                             $ 0 $ etex,0.5);valPos(btex $-\infty$ etex,0);
 endTableau;
 
-beginTableau(44) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
+beginTableau(45) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
 val(btex $1$ etex);
 val(btex $+\infty $ etex);
 
@@ -587,13 +558,13 @@ newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle f}$ etex);va
                                             etex,1);valPos(btex $0$ etex,0);
 endTableau;
 
-beginTableau(45) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\pi $ etex);
+beginTableau(46) 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(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);
+beginTableau(47) 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          $\frac{1}{4}$
@@ -601,7 +572,7 @@ nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $ -1 $ etex,0.5); valPo
                                             $ -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);
+beginTableau(48) 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          $\frac{1}{4}$
@@ -611,7 +582,7 @@ endTableau;
 
 
 
-beginTableau(48)
+beginTableau(49)
 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);
@@ -619,7 +590,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (x-10) (x+10)}$ etex);
                                 valBarre(btex 0 etex);
 endTableau;
 
-beginTableau(49) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+beginTableau(50) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
 val(btex $-\left(\sqrt{2}\right)$ etex);
 val(btex $-1$ etex);
 val(btex $1$ etex);
@@ -630,7 +601,7 @@ 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(50) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+beginTableau(51) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
 val(btex $-1$ etex);
 val(btex $1$ etex);
 val(btex $+\infty $ etex);
@@ -639,7 +610,7 @@ 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(51) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
+beginTableau(52) 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);
@@ -659,7 +630,7 @@ newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle y}$ etex);va
 valPos(btex $0$ etex,1);
 endTableau;
 
-beginTableau(52) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
+beginTableau(53) 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);
@@ -679,19 +650,18 @@ valPos(btex          $0$
                                             etex,0.5);valPos(btex $1$ etex,1);
 endTableau;
 
-beginTableau(53) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+beginTableau(54) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
 val(btex $-1$ etex);
 val(btex $1$ etex);
-val(btex $\frac{5}{2}$ etex);
 val(btex $4$ etex);
 val(btex $6$ etex);
 val(btex $+\infty $ etex);
 
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDefStrict;finNonDefStrict;plus;valBarre(btex 0 etex);moins;debutNonDefStrict;finNonDefStrict;plus;
-newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $\sqrt{35}$ etex,0);debutNonDef;finNonDef;limDroite(btex $\sqrt{15}$ etex,0);valPos(btex$\sqrt{21}$etex,1);limGauche(btex $\sqrt{15}$ etex,0);debutNonDef;finNonDef;limDroite(btex $\sqrt{35}$ etex,0);valPos(btex $+\infty $ etex,1);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; debutNonDefStrict;finNonDefStrict;plus;debutNonDefStrict;finNonDefStrict;plus;
+newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $\sqrt{35}$ etex,0);debutNonDef;finNonDef;limDroite(btex $\sqrt{15}$ etex,0);limGauche(btex $\sqrt{15}$ etex,0);debutNonDef;finNonDef;limDroite(btex $\sqrt{35}$ etex,0);valPos(btex $+\infty $ etex,1);
 endTableau;
 
-beginTableau(54) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
+beginTableau(55) 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);
@@ -710,34 +680,31 @@ newLigneVariations(btex $\hbox{  Variations de }\atop{\displaystyle g}$ etex);va
 valPos(btex $0$ etex,1);
 endTableau;
 
-  beginTableau(55)
+  beginTableau(56)
 newLigneVariables(btex $ {x}$ etex);
    val(btex $0$ etex);val(btex $\frac{\pi }{3}$ etex);
-val(btex $\frac{\pi }{3}$ etex);
 val(btex $\frac{7 \pi }{6}$ etex);
 val(btex $\frac{5 \pi }{3}$ etex);
 val(btex $\frac{11 \pi }{6}$ etex);
 val(btex $2 \pi $ etex); 
 newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \cos\left(x\right)+\frac{1}{-2}}$ etex);
                               plus;
-                                valBarre(btex 0 etex);plus;
                                 valBarre(btex 0 etex);moins;barre;
                               moins;
                                 valBarre(btex 0 etex);plus;barre;plus;
                               
 newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle \sin\left(x\right)+\frac{1}{2}}$ etex);
                               plus;barre;
-                              plus;barre;
                               plus;
                                 valBarre(btex 0 etex);moins;barre;
                               moins;valBarre(btex 0 etex);plus;
                               
 newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle  f (x)}$ etex);
-                              plus;valBarre(btex 0 etex); plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;
+                              plus;valBarre(btex 0 etex); moins;valBarre(btex 0 etex);plus;valBarre(btex 0 etex);moins;valBarre(btex 0 etex);plus;
                               
 endTableau;
 
- beginTableau(56) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);val(btex $\alpha_1$ etex);val(btex $0$ etex);val(btex $+\infty $ etex);
+ beginTableau(57) 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 82dfd03264f..50dfc3084de 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>}[17/03/2009 v4.04-b la machine a creer des tableaux de signes et variations]
+<span class="font-latex-sedate">\ProvidesPackage</span>{<span class="flyspell-duplicate">tablor</span>}[19/04/2009 v4.04-d 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
@@ -161,7 +161,7 @@
 </span><span class="comment-delimiter">% </span><span class="comment">fichier metapost pour le modifier
 </span><span class="comment-delimiter">%</span><span class="comment">
 </span><span class="comment-delimiter">%</span><span class="comment">
-</span><span class="comment-delimiter">% </span><span class="comment">Courbes </span><span class="comment"><span class="flyspell-duplicate">parametrees</span></span><span class="comment">
+</span><span class="comment-delimiter">% </span><span class="comment">Courbes parametrees
 </span><span class="comment-delimiter">%  </span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TVP}
 </span><span class="comment-delimiter">%  </span><span class="comment">TVP([-infinity,+infinity],[[-1,2],[-1]],["x","y"],"t",[t^2/((t+1)*(t-2)),t^2*(t+2)/(t+1)],1,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">{TVP}
@@ -189,17 +189,17 @@
 </span><span class="comment-delimiter">%% </span><span class="comment">ne l'avez pas de base 
 </span>
 
-<span class="font-latex-sedate">\RequirePackage</span>{<span class="flyspell-incorrect">filecontents</span>}
-<span class="font-latex-sedate">\RequirePackage</span>{ifthen}
+<span class="font-latex-sedate">\RequirePackage</span>{filecontents}
+<span class="font-latex-sedate">\RequirePackage</span>{<span class="flyspell-incorrect">ifthen</span>}
 <span class="font-latex-sedate">\RequirePackage</span>{fancyvrb}
-<span class="font-latex-sedate">\RequirePackage</span>{<span class="flyspell-duplicate">ifpdf</span>}
+<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 class="comment-delimiter">% </span><span class="comment">option xcas </span><span class="comment"><span class="flyspell-duplicate">present</span></span><span class="comment"> 
 </span>
 
-<span class="font-latex-sedate">\newboolean</span>{xcas}<span class="font-latex-sedate">\setboolean</span>{xcas}{<span class="flyspell-duplicate">false</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>}}
 
 
@@ -208,22 +208,22 @@
 
 
 
-<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 class="comment-delimiter">%% </span><span class="comment">Initialisation du choix </span><span class="comment"><span class="flyspell-incorrect">d'OS</span></span><span class="comment">
+</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 </span><span class="comment"><span class="flyspell-incorrect">plateforme</span></span><span class="comment">
-</span><span class="comment-delimiter">%% </span><span class="comment">et l'editeur
+<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 </span><span class="comment"><span class="flyspell-duplicate">l'editeur</span></span><span class="comment">
 </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
-</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">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{<span class="flyspell-duplicate">windows</span>}}<span class="comment">%
 </span>    {<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\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>{<span class="flyspell-duplicate">cat</span> }
+</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> }}
 
 
@@ -232,10 +232,10 @@
 
 
 
-<span class="comment-delimiter">%% </span><span class="comment">pour ceux compilant via pdflatex
+<span class="comment-delimiter">%% </span><span class="comment">pour ceux compilant via </span><span class="comment"><span class="flyspell-incorrect">pdflatex</span></span><span class="comment">
 </span>
 <span class="font-latex-sedate">\ifpdf</span>
-<span class="font-latex-sedate">\DeclareGraphicsRule</span>{*}{<span class="flyspell-incorrect">mps</span>}{*}{}
+<span class="font-latex-sedate">\DeclareGraphicsRule</span>{*}{mps}{*}{}
 <span class="font-latex-sedate">\fi</span>
 
 <span class="comment-delimiter">%% </span><span class="comment">pour nettoyer les fichiers auxiliaires
@@ -246,10 +246,10 @@
 
 
 
-<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}
+  <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{queue.<span class="flyspell-duplicate">mp</span>}
   
   end
 
@@ -264,7 +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}
 }
 
 
@@ -277,7 +277,7 @@
 
 <span class="comment-delimiter">%% </span><span class="comment">initialise les compteurs
 </span>
-<span class="font-latex-sedate"><span class="keyword">\newcounter</span></span><span class="function-name">{</span><span class="function-name"><span class="flyspell-duplicate">TVn</span></span><span class="function-name">}</span>
+<span class="font-latex-sedate"><span class="keyword">\newcounter</span></span><span class="function-name">{TVn}</span>
 <span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\tv</span></span><span class="function-name">}</span>{<span class="font-latex-sedate">\theTVn</span>}
 
 <span class="font-latex-sedate"><span class="keyword">\newcounter</span></span><span class="function-name">{TVnbis}</span>
@@ -285,7 +285,7 @@
 
 
 
-<span class="comment-delimiter">%% </span><span class="comment">permet de donner un prefixe aux tableaux produits (</span><span class="font-latex-sedate"><span class="comment">\jobname</span></span><span class="comment"> par </span><span class="comment"><span class="flyspell-duplicate">defaut</span></span><span class="comment">)
+<span class="comment-delimiter">%% </span><span class="comment">permet de donner un prefixe aux tableaux produits (</span><span class="font-latex-sedate"><span class="comment">\jobname</span></span><span class="comment"> par defaut)
 </span><span class="comment-delimiter">%% </span><span class="comment">effectue quelques verifications :
 </span>
 
@@ -294,16 +294,16 @@
 </span><span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{0}</span><span class="comment">%     Initialisation du compteur de tableaux.
 </span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{xcas}}<span class="comment">%    Avec l'option XCas
 </span>{<span class="font-latex-sedate">\IfFileExists</span>{<span class="font-latex-sedate">\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 </span><span class="comment"><span class="flyspell-incorrect">detruire</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">\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
 </span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost -interaction=batchmode <span class="font-latex-sedate">\nomtravail</span>.Tab}}<span class="comment">% l'executer pour reconstituer les figures
 </span>{<span class="font-latex-sedate">\PackageWarning</span>{tablor}{Pas de source metapost pour creer les tableaux.}}<span class="comment">% sinon message d'erreur
 </span>                                <span class="comment">% (mais pas d'arret car les tableaux
-</span>                                <span class="comment">% peuvent &#234;tre </span><span class="comment"><span class="flyspell-incorrect">presents</span></span><span class="comment"> )
+</span>                                <span class="comment">% peuvent &#234;tre presents )
 </span>}}<span class="comment">%
 </span>
 
@@ -312,7 +312,7 @@
 </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>{<span class="flyspell-duplicate">windows</span>}}<span class="comment">%
+</span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{windows}}<span class="comment">%
 </span>{<span class="font-latex-sedate">\immediate</span><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{giac  &lt;#1 }}}
 <span class="font-latex-sedate">\makeatother</span>
@@ -335,7 +335,7 @@
 </span>
 
 <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTV.cxx}
-<span class="flyspell-duplicate">TV</span>(L,F,nom,nomv,f,ftt,trigo,nmr):={
+TV(L,F,nom,nomv,f,ftt,trigo,nmr):={
 nl:=size(L);
 f:=unapply(f,x);
 fp:=function_diff(f);
@@ -347,13 +347,13 @@ if(trigo==t){
 all_trig_solutions:=1;
 reset_solve_counter(-1,-1);
 SS:=solve(factor(simplify(fp(x))),x);
-<span class="flyspell-duplicate">ns</span>:=size(SS);
+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;
-<span class="flyspell-duplicate">while</span>(evalf(subst(SS[k],n_1=m))&gt;=L[0]){
+while(evalf(subst(SS[k],n_1=m))&gt;=L[0]){
 S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m-1;
 }
 }
@@ -366,14 +366,14 @@ S:=solve(fp(x),x);
                              qq:=member(simplify(S[j]),Z)==0;
                              kk:=(evalf(S[j])&gt;=evalf(L[0])) and (evalf(S[j])&lt;=evalf(L[nl-1]));
                           if(kk==1){if(qq==1){Z:=append(Z,simplify(S[j]))}};
-                          <span class="flyspell-duplicate">fpour</span>
+                          fpour
   fsi;
 Z:=sort(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;
 
 
 
@@ -385,7 +385,7 @@ nz:=size(Z);
                              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
-  <span class="flyspell-duplicate">fsi</span>;
+  fsi;
 
 
 Z:=sort([op(set[op(Z)])]);
@@ -393,7 +393,7 @@ Z:=sort([op(set[op(Z)])]);
 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));
@@ -430,16 +430,16 @@ 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(<span class="flyspell-duplicate">btex</span> <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)))}+"$</span> etex,"+
              if(kz==1){"1);"}else{"0);"}}
-    else{"limGauche(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+
+    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;"}};    
     
 
 
@@ -447,15 +447,15 @@ lf:=if(member(Z[nz-1],F)==0){"valPos(<span class="flyspell-duplicate">btex</span
 
 MetaLfc:=if(ftt==2){if(nz&gt;2){"
 
-<span class="flyspell-duplicate">beginTableau</span>("+nmr+")"+
+beginTableau("+nmr+")"+
         l0+lsi+lsp+lsf+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}else{
-intro+"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+intro+"beginTableau("+nmr+")"+
         l0+
 lsi+lsf+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";
 }
@@ -465,39 +465,39 @@ li+
 lp+
 lf
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}else{"beginTableau("+nmr+")"+
         l0+
 li+
-<span class="flyspell-duplicate">lf</span>
+lf
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}}else{
 if(nz&gt;2){"beginTableau("+nmr+")"+
         l0+
-<span class="flyspell-duplicate">lsi</span>+lsp+lsf+
+lsi+lsp+lsf+
 li+
-<span class="flyspell-duplicate">lp</span>+
+lp+
 lf
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
-";}else{"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+";}else{"beginTableau("+nmr+")"+
         l0+
 lsi+lsf+
 li+
-<span class="flyspell-duplicate">lf</span>
+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);
 
 
@@ -533,13 +533,13 @@ 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]){
@@ -555,14 +555,14 @@ S:=solve(fp(x),x);
                              qq:=member(simplify(S[j]),Z)==0;
                              kk:=(evalf(S[j])&gt;=evalf(L[0])) and (evalf(S[j])&lt;=evalf(L[nl-1]));
                           if(kk==1){if(qq==1){Z:=append(Z,simplify(S[j]))}};
-                          <span class="flyspell-duplicate">fpour</span>
+                          fpour
   fsi;
 Z:=sort(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;
 
 
 
@@ -574,15 +574,15 @@ nz:=size(Z);
                              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
-  <span class="flyspell-duplicate">fsi</span>;
+  fsi;
 
 
 Z:=sort([op(set[op(Z)])]);
 
-<span class="flyspell-duplicate">nz</span>:=size(Z);
+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));
@@ -614,72 +614,72 @@ lm0:=limit(f(x),x=Z[0],1)==-infinity;
                                     "valPos(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);"} }
-                                          else{"valPos(btex          <span class="font-latex-math">$"+latex(</span><span class="font-latex-math"><span class="flyspell-duplicate">simplify</span></span><span class="font-latex-math">(f(Z[r])))+"$</span>
+                                          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);"}else{if(krp==1){"1);"}else{"0);
 "}}}
                                                    }; }
 
-<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;
                           
 
 
 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);"}<span class="flyspell-duplicate">else</span>{"0);"}};    
+           if(kz==1){"1);"}else{"0);"}};    
     
 
 
 
 
-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;
 
 ";
 }
 }else{ if(ftt==0){if(nz&gt;2){"beginTableau("+nmr+")"+
         l0+
 li+
-<span class="flyspell-duplicate">lp</span>+
-<span class="flyspell-duplicate">lf</span>
+lp+
+lf
 +"
 endTableau;
 
-";}else{"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+";}else{"beginTableau("+nmr+")"+
         l0+
 li+
-<span class="flyspell-duplicate">lf</span>
+lf
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}}else{
-if(nz&gt;2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+if(nz&gt;2){"beginTableau("+nmr+")"+
         l0+
 lsi+lsp+lsf+
 li+
 lp+
-<span class="flyspell-duplicate">lf</span>
+lf
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}else{"beginTableau("+nmr+")"+
         l0+
-<span class="flyspell-duplicate">lsi</span>+lsf+
+lsi+lsf+
 li+
-<span class="flyspell-duplicate">lf</span>
+lf
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}
 }}
@@ -687,7 +687,7 @@ li+
 
 sortie:=fopen("XCasmpfc.mp");
 fprint(sortie,Unquoted,MetaLfc);
-<span class="flyspell-duplicate">fclose</span>(sortie);
+fclose(sortie);
 
 
  }:;
@@ -716,7 +716,7 @@ fprint(sortie,Unquoted,MetaLfc);
 
 TVZ(L,F,FF,nom,nomv,f,ftt,trigo,nmr):={
 nl:=size(L);
-nf:=size(<span class="flyspell-duplicate">FF</span>);
+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]]};
@@ -729,7 +729,7 @@ if(FF[k][1]&lt;L[1]){Imax[k]:=FF[k][1];LL:=L}else{Imax[k]:=L[1];LL:=[L[0]]};
  IMIN:=[IMIN];
  IMAX:=[IMAX];
  f:=unapply(f,x);
-<span class="flyspell-duplicate">fp</span>:=function_diff(f);
+fp:=function_diff(f);
 Z:=concat(LL,F);
 
 for(k:=0;k&lt;nf;k++){
@@ -741,7 +741,7 @@ 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++){
@@ -770,7 +770,7 @@ S:=solve(fp(x),x);
                           if(Kk==1){Z:=append(Z,simplify(S[j]))};
                           }
                         fpour
-  <span class="flyspell-duplicate">fsi</span>;
+  fsi;
 
 
 Z:=sort([op(set[op(Z)])]);
@@ -783,14 +783,14 @@ for(j:=0;j&lt;nf;j++){
    }
   }
 }
-<span class="flyspell-duplicate">nz</span>:=size(Z);
+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[<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));
                           
 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){
@@ -802,7 +802,7 @@ 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],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{"</span><span class="font-latex-math"><span class="flyspell-duplicate">finNonDefStrict</span></span><span class="font-latex-math">;"}+
+                                                       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;"}
@@ -810,7 +810,7 @@ if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ ksp:=evalf(fp(Z[r]+0.01))&gt;0;
 
 
 
-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{"</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;
 "}}
 
 
@@ -831,48 +831,48 @@ if(nz&gt;2){
              "-\\infty"}else{
                 latex(simplify(limit(f(x),x=Z[r],-1)))}
          +"$</span> etex,"+if(krm==1){
-             "1);"}<span class="flyspell-duplicate">else</span>{"0);"} 
+             "1);"}else{"0);"} 
          +if(member(Z[r],F)==0){"debutNonDef;"}else{"debutNonDefStrict;"}
-       }//fsi Zr=<span class="flyspell-duplicate">Imin</span>
+       }//fsi Zr=Imin
       else{
         if (member(Z[r],IMAX)!=0){if(member(Z[r],F)==0){"finNonDef;"}else{"finNonDefStrict;"}+"limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){
              "-\\infty"}else{latex(simplify(limit(f(x),x=Z[r],1)))}
          +"$</span> etex,"+if(krp==1){
-             "1);"}<span class="flyspell-duplicate">else</span>{"0);"}          
+             "1);"}else{"0);"}          
        }else{
           if(member(Z[r],F)){
          "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){
              "-\\infty"}else{
                 latex(simplify(limit(f(x),x=Z[r],-1)))}
-         +"$</span> etex,"+if(<span class="flyspell-duplicate">krm</span>==1){
+         +"$</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){
+         +"$</span> etex,"+if(krp==1){
              "1);"}else{"0);"}
          }//fsi (member Zr F)
           else{"valPos(btex<span class="font-latex-math">$"+latex(simplify(f(Z[r])))+"$</span>etex,"+
              if(sign(evalf(fp(Z[r]-0.01)))==sign(fp(Z[r]+0.01))){
                "0.5);"}else{
-                    if(<span class="flyspell-duplicate">krp</span>==1){
+                    if(krp==1){
                        "1);"}else{"0);"}//felse(krp)
-                    }//felse(<span class="flyspell-incorrect">valpos</span>)
+                    }//felse(valpos)
                }//felse(member Zr F)
                } //felse(Zr=Imax)
               }//felse(Zr=Imin)
-           };//<span class="flyspell-incorrect">ffor</span> 
+           };//ffor 
          }//fsi nz
 
-<span class="flyspell-duplicate">lnz</span>:=limit(f(x),x=Z[nz-1],-1)==-infinity;
+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">$"+
-           if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"+
+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>;"}};    
+           if(kz==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};    
     
 
 
@@ -880,32 +880,32 @@ if(nz&gt;2){
 
 MetaLfc:=if(ftt==2){if(nz&gt;2){"
 
-beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+beginTableau("+nmr+")"+
         l0+lsi+lsp+lsf+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}else{
 intro+"beginTableau("+nmr+")"+
         l0+
-<span class="flyspell-duplicate">lsi</span>+lsf+"
-<span class="flyspell-duplicate">endTableau</span>;
+lsi+lsf+"
+endTableau;
 
 ";
 }
-}else{ if(ftt==0){if(nz&gt;2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+}else{ if(ftt==0){if(nz&gt;2){"beginTableau("+nmr+")"+
         l0+
 li+
-<span class="flyspell-duplicate">lp</span>+
+lp+
 lf
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+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+")"+
@@ -913,17 +913,17 @@ if(nz&gt;2){"beginTableau("+nmr+")"+
 lsi+lsp+lsf+
 li+
 lp+
-<span class="flyspell-duplicate">lf</span>
+lf
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}else{"beginTableau("+nmr+")"+
         l0+
-<span class="flyspell-duplicate">lsi</span>+lsf+
+lsi+lsf+
 li+
 lf
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}
 }}
@@ -931,7 +931,7 @@ lf
 
 sortie:=fopen("XCasmpfc.mp");
 fprint(sortie,Unquoted,MetaLfc);
-<span class="flyspell-duplicate">fclose</span>(sortie);
+fclose(sortie);
 
  }
 :;
@@ -947,7 +947,7 @@ fprint(sortie,Unquoted,MetaLfc);
 </span>
 
 
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVapp.<span class="flyspell-duplicate">cxx</span>}
+<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVapp.cxx}
 
 
 
@@ -955,7 +955,7 @@ fprint(sortie,Unquoted,MetaLfc);
 
 
 
-<span class="flyspell-duplicate">TVapp</span>(L,F,nom,nomv,f,ftt,nmr):={
+TVapp(L,F,nom,nomv,f,ftt,nmr):={
 
 
 nl:=size(L);
@@ -969,18 +969,26 @@ nz:=size(z);
 
 
 
-S:=NULL;
-if(L==[-infinity,+infinity]){j:=[seq(-100+k,k=0..200)]minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,<span class="flyspell-duplicate">newton</span>_solver);end_for}
-else{if(L[0]==-infinity){j:=[seq(k,k=100..floor(L[1]))] minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for}
-else{if(L[1]==+infinity){j:=[seq(k,k=floor(L[0])..100)] minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for;}
-else{ j:=[seq(k,k=floor(z[0])..floor(z[nz-1]))] minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_<span class="flyspell-duplicate">solver</span>);end_for;  }}};
+S:=op(fsolve(fp(x),x));
+if(L==[-infinity,+infinity]){j:=[seq(-100+k,k=0..200)]minus F;
+  for k in j do for(m:=-5;m&lt;=5;m++){S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for}
+else{if(L[0]==-infinity){j:=[seq(k,k=-100..floor(L[1]))] minus F;
+  for k in j do for(m:=-5;m&lt;=5;m++){ S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for}
+else{if(L[1]==+infinity){j:=[seq(k,k=floor(L[0])..100)] minus F;
+  for k in j do for(m:=-5;m&lt;=5;m++){ S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for;}
+else{ j:=[seq(k,k=floor(z[0])..floor(z[nz-1]))] minus F;
+  for               k                in               j               do
+  for(m:=-5;m&lt;=5;m++){S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for; }}};
+
+
+
 
 
 
 
 
 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 (<span class="flyspell-duplicate">evalf</span>(S[j])&lt;=L[1]);
+                             kk:=(re(S[j])==S[j]);kok:=(evalf(S[j])&gt;=L[0]) and (evalf(S[j])&lt;=L[1]);
                           if(kk==1){if(kok==1){z:=append(z,simplify(S[j]))}};
                           fpour;
 <span class="flyspell-duplicate">fsi</span>;
@@ -1008,13 +1016,13 @@ Z:=[S];
 
 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>);
-";<span class="flyspell-duplicate">fpour</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[nz-2],1));
                           
-lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+
+<span class="flyspell-duplicate">lsi</span>:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+
      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;"+
@@ -1025,9 +1033,9 @@ if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){      ksp:=evalf(fp(Z[r]+0.01))&gt;0;
                                                 if(ksp==1){"plus;"}else{"moins;"}
                                                   }; }
 
-lsf:=if(member(Z[nz-1],F)==0){""}else{"nonDefBarre;
+</span><span class="font-latex-math"><span class="flyspell-duplicate">lsf</span></span><span class="font-latex-math">:=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">;
+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(lm0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$</span> etex,"}+                               
@@ -1047,23 +1055,23 @@ lm0:=limit(f(x),x=Z[0],1)==-</span><span class="font-latex-math"><span class="fl
 lnz:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>;
  
 
-lf:=if(member(Z[nz-1],F)==0){"valPos(<span class="flyspell-duplicate">btex</span> <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)))}+"$</span> etex,"+
-             if(kz==1){"1);"}else{"0);"}}
-    else{"limGauche(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+
-         if(lnz==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[nz-1],-1)))}+"$</span> <span class="flyspell-duplicate">etex</span>,"+ 
-           if(kz==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};    
+             if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}}
+    else{"limGauche(btex <span class="font-latex-math">$"+
+         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(<span class="flyspell-duplicate">nz</span>&gt;2){"
+MetaLfc:=if(ftt==2){if(nz&gt;2){"
 
-<span class="flyspell-duplicate">beginTableau</span>("+nmr+")"+
+beginTableau("+nmr+")"+
         l0+lsi+lsp+lsf+"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
 
 ";}else{
-<span class="flyspell-duplicate">intro</span>+"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+intro+"beginTableau("+nmr+")"+
         l0+
 lsi+lsf+"
 <span class="flyspell-duplicate">endTableau</span>;
@@ -1073,33 +1081,33 @@ lsi+lsf+"
 }else{ if(ftt==0){if(nz&gt;2){"beginTableau("+nmr+")"+
         l0+
 li+
-lp+
-<span class="flyspell-duplicate">lf</span>
+<span class="flyspell-duplicate">lp</span>+
+lf
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
-";}else{"beginTableau("+nmr+")"+
+";}else{"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
         l0+
 li+
-<span class="flyspell-duplicate">lf</span>
+lf
 +"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
 
 ";}}else{
-if(nz&gt;2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+if(nz&gt;2){"beginTableau("+nmr+")"+
         l0+
-<span class="flyspell-duplicate">lsi</span>+lsp+lsf+
+lsi+lsp+lsf+
 li+
 lp+
-lf
+<span class="flyspell-duplicate">lf</span>
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}else{"beginTableau("+nmr+")"+
         l0+
-lsi+lsf+
+<span class="flyspell-duplicate">lsi</span>+lsf+
 li+
-<span class="flyspell-duplicate">lf</span>
+lf
 +"
 <span class="flyspell-duplicate">endTableau</span>;
 
@@ -1109,7 +1117,7 @@ li+
 
 sortie:=fopen("XCasmpfc.mp");
 fprint(sortie,Unquoted,MetaLfc);
-fclose(sortie);
+<span class="flyspell-duplicate">fclose</span>(sortie);
 
 
  }:;
@@ -1137,11 +1145,11 @@ 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>{XcasTVI.<span class="flyspell-duplicate">cxx</span>}
 
 
 TVI(L,F,nom,nomv,f,ftt,ao,trigo,nmr):={
-<span class="flyspell-duplicate">nl</span>:=size(L);
+nl:=size(L);
 f:=unapply(f,x);
 fp:=function_diff(f);
 Z:=concat(L,F);
@@ -1151,7 +1159,7 @@ S:=[];
 if(trigo==t){
 all_trig_solutions:=1;
 reset_solve_counter(-1,-1);
-SS:=solve(factor(simplify(fp(x))),x);
+<span class="flyspell-duplicate">SS</span>:=solve(factor(simplify(fp(x))),x);
 ns:=size(SS);
 for(k:=0;k&lt;ns;k++){
 m:=0;
@@ -1170,25 +1178,25 @@ S:=solve(fp(x),x);
                             kk:=(evalf(S[j])&gt;=evalf(L[0])) and (evalf(S[j])&lt;=evalf(L[<span class="flyspell-duplicate">nl</span>-1]));
                           if(kk==1){Z:=append(Z,simplify(S[j]))};
                           fpour
-  <span class="flyspell-duplicate">fsi</span>;
+  fsi;
 
 
 Z:=sort([op(set[op(Z)])]);
 
 
 
-<span class="flyspell-duplicate">nz</span>:=size(Z);
+nz:=size(Z);
 l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";<span class="flyspell-duplicate">lsp</span>:=" ";
 
 
 
 LI:=limit(f(x),x,Z[0],1);
-<span class="flyspell-duplicate">LF</span>:=limit(f(x),x,Z[nz-1],-1);
+LF:=limit(f(x),x,Z[nz-1],-1);
 LP:=NULL;
-<span class="flyspell-duplicate">PB</span>:=1;
+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:=<span class="flyspell-duplicate">PB</span>,1};
+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]};
@@ -1203,14 +1211,14 @@ if(NL==nz){for(k:=0;k&lt;nz-1;k++){TestS:=(evalf(sign(LL[k]-ao))==evalf(sign(LL[
 if(TestS==0){A:=A,aa;l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[k])+"$</span> etex);"+"val(btex <span class="font-latex-math">$\\alpha_</span><span class="font-latex-subscript"><span class="font-latex-math">"</span></span><span class="font-latex-math">+aa+"$</span> etex);";aa:=aa+1;}else{l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[k])+"$</span> etex);"}}
 l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> etex);"};
 //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]-<span class="flyspell-duplicate">ao</span>))==0.0);
+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">$\\alpha_</span><span class="font-latex-subscript"><span class="font-latex-math">"</span></span><span class="font-latex-math">+aa+"$</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>);"
+ l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> etex);"
 
  };
 
@@ -1219,7 +1227,7 @@ TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-<span
        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);"+
+lsi:=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;"+
@@ -1234,10 +1242,10 @@ if(nz&gt;2){rr:=1; if(nz==NL){for(r:=1; r&lt;=NL-2;r++){ TestS:=(evalf(sign(LL[r
                                  lsp:=lsp+if(member(Z[r],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
                                   if(ksp==1){"plus;"}else{"moins;"}+if(TestS==0){"valBarre(btex $</span>  <span class="font-latex-math">$ etex);"}else{" "}+if(TestS==0){if(ksp==1){"plus;"}else{"moins;"}}else{" "};
                                           }}  
-</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{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(</span><span class="font-latex-math"><span class="flyspell-duplicate">LL</span></span><span class="font-latex-math">[r+1]-ao))) or (evalf(sign(LL[r]-ao))==0.0)or (evalf(sign(LL[r+1]-ao))==0.0);
+</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{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]-ao))==0.0);
                                          
                       if(PB[r]==1){if(TestS==0){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;"}+"valBarre(btex $</span>  <span class="font-latex-math">$ etex);"+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;}
+                                  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{"nonDefBarre;"}+
                                   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;}        
 }}}}; 
@@ -1249,12 +1257,12 @@ if(nz&gt;2){rr:=1; if(nz==NL){for(r:=1; r&lt;=NL-2;r++){ TestS:=(evalf(sign(LL[r
 
 
 
-</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)==-</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(</span><span class="font-latex-math"><span class="flyspell-duplicate">LL</span></span><span class="font-latex-math">[1]-ao))==0.0);
+TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))==0.0) or (evalf(sign(LL[1]-ao))==0.0);
 
      li:=lvic+nom+"}$</span> etex);
 "+  if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$</span> etex,"}
@@ -1281,31 +1289,31 @@ TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))=
 if(PB[r]==1){if(TestS==0){lp:=lp+if(member(Z[rr],F)){
                                     "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[rr],-1)))}+"$</span> etex,"+if(krm==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+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])))+"$</span>
-                                            etex,"+if(evalf(sign(fp(Z[rr]-0.01)))==sign(fp(Z[<span class="flyspell-duplicate">rr</span>]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+"valPos(<span class="flyspell-duplicate">btex</span>
+                                            etex,"+if(evalf(sign(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}else{"0);"}}}+"valPos(<span class="flyspell-duplicate">btex</span>
                                             <span class="font-latex-math">$ "+ao+" $</span> etex,0.5);
                                                                  ";rr:=rr+1;
 }//  testS==0
 else{lp:=lp+if(member(Z[rr],F)){
-                                    "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[rr],-1)))}+"$</span> etex,"+if(krm==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+if(lmrp==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[rr],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}}
+                                    "limGauche(btex <span class="font-latex-math">$"+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);"}<span class="flyspell-duplicate">else</span>{"0);
-                                                            "}}};rr:=<span class="flyspell-duplicate">rr</span>+1;
+                                            etex,"+if(evalf(sign(fp(Z[<span class="flyspell-duplicate">rr</span>]-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=<span class="flyspell-duplicate">NL</span>
-};//if <span class="flyspell-duplicate">nz</span>&gt;2
+}// else nz&lt;<span class="flyspell-duplicate">NL</span>
+//if nz=NL
+};//if nz&gt;2
 
 
 
 lnz:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>;
 
 
-<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)))}+"$</span> etex,"+
-             if(kz==1){"1);"}else{"0);"}}
-    else{"limGauche(<span class="flyspell-duplicate">btex</span> <span class="font-latex-math">$"+
+             if(kz==1){"1);"}<span class="flyspell-duplicate">else</span>{"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>;"}};    
 
@@ -1315,48 +1323,48 @@ lnz:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>
 
 
 
-MetaLfc:= if(ftt==2){if(nz&gt;2){"beginTableau("+nmr+")"+
+MetaLfc:= if(ftt==2){if(nz&gt;2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
         l0+lsi+lsp+lsf+"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
-";}<span class="flyspell-duplicate">else</span>{
+";}else{
 "beginTableau("+nmr+")"+
         l0+
-lsi+lsf+"
-<span class="flyspell-duplicate">endTableau</span>;
+<span class="flyspell-duplicate">lsi</span>+lsf+"
+endTableau;
 
 ";
 }
 }else{
-if(ftt==0){if(nz&gt;2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+if(ftt==0){if(nz&gt;2){"beginTableau("+nmr+")"+
         l0+
 li+
 lp+
-<span class="flyspell-duplicate">lf</span>
+lf
 +"
 <span class="flyspell-duplicate">endTableau</span>;
 
 ";}else{"beginTableau("+nmr+")"+
         l0+
 li+
-lf
+<span class="flyspell-duplicate">lf</span>
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 ";}}else{
-if(nz&gt;2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+if(nz&gt;2){"beginTableau("+nmr+")"+
         l0+
 lsi+lsp+lsf+
 li+
-<span class="flyspell-duplicate">lp</span>+
+lp+
 lf
 +"
 <span class="flyspell-duplicate">endTableau</span>;
 
-";}else{"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+";}else{"beginTableau("+nmr+")"+
         l0+
 lsi+lsf+
 li+
-<span class="flyspell-duplicate">lf</span>
+lf
 +"
 <span class="flyspell-duplicate">endTableau</span>;
 
@@ -1370,8 +1378,8 @@ li+
 
 
 sortie:=fopen("XCasmpfc.mp");
-fprint(sortie,Unquoted,MetaLfc);
-<span class="flyspell-duplicate">fclose</span>(sortie);
+<span class="flyspell-duplicate">fprint</span>(sortie,Unquoted,MetaLfc);
+fclose(sortie);
 
 
  }:;
@@ -1397,20 +1405,20 @@ fprint(sortie,Unquoted,MetaLfc);
 
 
 
-TVIex(L,F,nom,nomv,f,ftt,ao,trigo,<span class="flyspell-duplicate">nmr</span>):={
-<span class="flyspell-duplicate">nl</span>:=size(L);
+TVIex(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:=[];
 
-<span class="flyspell-duplicate">Sex</span>:=NULL;
-Zex:=solve(f(x)=<span class="flyspell-duplicate">ao</span>);
-Zex:=sort(Zex);
+Sex:=NULL;
+Zex:=solve(f(x)=ao);
+<span class="flyspell-duplicate">Zex</span>:=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]};
 };
-<span class="flyspell-duplicate">Sex</span>:=[<span class="flyspell-duplicate">Sex</span>];
+Sex:=[<span class="flyspell-duplicate">Sex</span>];
 
 
 
@@ -1422,14 +1430,14 @@ if((evalf(Zex[j])&gt;=evalf(L[0])) and (evalf(Zex[j])&lt;=evalf(L[nl-1]))){Sex:=
 if(trigo==t){
 all_trig_solutions:=1;
 reset_solve_counter(-1,-1);
-<span class="flyspell-duplicate">SS</span>:=solve(factor(simplify(fp(x))),x);
-ns:=size(SS);
+SS:=solve(factor(simplify(fp(x))),x);
+<span class="flyspell-duplicate">ns</span>:=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]){
+<span class="flyspell-duplicate">while</span>(evalf(subst(SS[k],n_1=m))&gt;=L[0]){
 S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m-1;
 }
 }
@@ -1438,31 +1446,31 @@ 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[<span class="flyspell-duplicate">nl</span>-1]));
+                            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
-  <span class="flyspell-duplicate">fsi</span>;
+  fsi;
 
 
 
  Z:=sort([op(set[op(Z)])]);
 
 
-<span class="flyspell-duplicate">nz</span>:=size(Z);
-l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";lsp:=" ";
+nz:=size(Z);
+l0:=" newLigneVariables(btex <span class="font-latex-math">$"+nomv+"$</span> etex);";lp:=" "; lf:=" ";<span class="flyspell-duplicate">lsp</span>:=" ";
 
 
 
 LI:=limit(f(x),x,Z[0],1);
-<span class="flyspell-duplicate">LF</span>:=limit(f(x),x,Z[nz-1],-1);
+LF:=limit(f(x),x,Z[nz-1],-1);
 LP:=NULL;
 PB:=1;
-if(<span class="flyspell-duplicate">nz</span>&gt;2){                                                       for(r:=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:=<span class="flyspell-duplicate">PB</span>,1};
+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]};
+if(nz&gt;2){ LL:=[LI,LP,LF]; PB:=[PB,1]}else{LL:=[LI,LF];<span class="flyspell-duplicate">PB</span>:=[1,1]};
       
 NL:=size(LL);
 A:=NULL;aa:=0;
@@ -1474,19 +1482,19 @@ if(NL==nz){for(k:=0;k&lt;nz-1;k++){TestS:=(evalf(sign(LL[k]-ao))==evalf(sign(LL[
 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]-<span class="flyspell-duplicate">ao</span>))==0.0);
+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){
+if(PB[k]==1){if(<span class="flyspell-duplicate">TestS</span>==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:=<span class="flyspell-duplicate">kk</span>+1}};
+else{l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[kk])+"$</span> etex);";kk:=kk+1}};
 }
 
- l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> etex);"
+ l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> <span class="flyspell-duplicate">etex</span>);"
 
  };
 
 
-<span class="flyspell-duplicate">TestS</span>:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))==0.0) or (evalf(sign(LL[1]-ao))==0.0);
+TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))==0.0) or (evalf(sign(LL[1]-<span class="flyspell-duplicate">ao</span>))==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));
                           
@@ -1499,24 +1507,24 @@ lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+
 
 
 
-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); 
+if(nz&gt;2){rr:=1; if(nz==NL){for(r:=1; r&lt;=NL-2;r++){ TestS:=(evalf(sign(LL[r]-</span><span class="font-latex-math"><span class="flyspell-duplicate">ao</span></span><span class="font-latex-math">))==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{"</span><span class="font-latex-math"><span class="flyspell-duplicate">nonDefBarre</span></span><span class="font-latex-math">;"}+
+                                 lsp:=lsp+if(member(Z[r],F)==0){"valBarre(</span><span class="font-latex-math"><span class="flyspell-duplicate">btex</span></span><span class="font-latex-math"> 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);
+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]-ao))==0.0);
                                          
                       if(PB[r]==1){if(TestS==0){lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
-                                  if(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);"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{"nonDefBarre;"}+
+                                  if(kspp==1){"plus;"}else{"moins;"}+"valBarre(</span><span class="font-latex-math"><span class="flyspell-duplicate">btex</span></span><span class="font-latex-math"> $</span>  <span class="font-latex-math">$ etex);"+if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;}
+                                    else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
                                   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;"}
+ lsf:=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">;"}
 
 
 
@@ -1525,10 +1533,10 @@ lm0:=limit(f(x),x=Z[0],1)==-</span><span class="font-latex-math"><span class="fl
 
 
 
-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);
+TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))==0.0) or (evalf(sign(LL[1]-ao))==0.0);
 
      li:=lvic+nom+"}$</span> etex);
-"+  if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$</span> etex,"}
+"+  if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(</span><span class="font-latex-math"><span class="flyspell-duplicate">simplify</span></span><span class="font-latex-math">(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{" "}; 
                          
@@ -1538,7 +1546,7 @@ TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))=
                                                  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">$"+if(lmrm==1){"-\\infty"}else{latex(simplify(</span><span class="font-latex-math"><span class="flyspell-duplicate">limit</span></span><span class="font-latex-math">(f(x),x=Z[r],-1)))}+"$</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);"}}
+                                    "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{latex(simplify(limit(f(x),x=Z[r],-1)))}+"$</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+" $</span> etex,0.5);"
@@ -1557,26 +1565,26 @@ if(PB[r]==1){if(TestS==0){lp:=lp+if(member(Z[rr],F)){
                                                                  ";rr:=rr+1;
 }//  testS==0
 else{lp:=lp+if(member(Z[rr],F)){
-                                    "limGauche(btex <span class="font-latex-math">$"+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)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}}
+                                    "limGauche(btex <span class="font-latex-math">$"+if(lmrm==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[rr],-1)))}+"$</span> etex,"+if(krm==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}+"nonDefBarre;limDroite(btex <span class="font-latex-math">$"+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);
+                                            etex,"+if(evalf(sign(fp(Z[rr]-0.01)))==sign(fp(Z[rr]+0.01))){"0.5);"}else{if(krp==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);
                                                             "}}};rr:=rr+1;
-}//else <span class="flyspell-duplicate">testS</span>==0
+}//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
+//if nz=<span class="flyspell-duplicate">NL</span>
+};//if nz&gt;2
 
 
 
-lnz:=limit(f(x),x=Z[nz-1],-1)==-infinity;
+lnz:=limit(f(x),x=Z[nz-1],-1)==-<span class="flyspell-duplicate">infinity</span>;
 
 
-lf:=if(member(Z[nz-1],F)==0){"valPos(<span class="flyspell-duplicate">btex</span> <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)))}+"$</span> etex,"+
              if(kz==1){"1);"}else{"0);"}}
-    else{"limGauche(btex <span class="font-latex-math">$"+
+    else{"limGauche(<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> etex,"+ 
            if(kz==1){"1);nonDefBarre;"}else{"0);<span class="flyspell-duplicate">nonDefBarre</span>;"}};    
 
@@ -1586,12 +1594,12 @@ lf:=if(member(Z[nz-1],F)==0){"valPos(<span class="flyspell-duplicate">btex</span
 
 
 
-<span class="flyspell-duplicate">MetaLfc</span>:= if(ftt==2){if(nz&gt;2){"beginTableau("+nmr+")"+
+MetaLfc:= if(ftt==2){if(nz&gt;2){"beginTableau("+nmr+")"+
         l0+lsi+lsp+lsf+"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
 
 ";}else{
-"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+"beginTableau("+nmr+")"+
         l0+
 lsi+lsf+"
 <span class="flyspell-duplicate">endTableau</span>;
@@ -1599,35 +1607,35 @@ lsi+lsf+"
 ";
 }
 }else{
-if(ftt==0){if(nz&gt;2){"beginTableau("+nmr+")"+
+if(ftt==0){if(nz&gt;2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
         l0+
 li+
 lp+
-<span class="flyspell-duplicate">lf</span>
+lf
 +"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
 
 ";}else{"beginTableau("+nmr+")"+
         l0+
 li+
-<span class="flyspell-duplicate">lf</span>
+lf
 +"
-endTableau;
+<span class="flyspell-duplicate">endTableau</span>;
 ";}}else{
 if(nz&gt;2){"beginTableau("+nmr+")"+
         l0+
-<span class="flyspell-duplicate">lsi</span>+lsp+lsf+
+lsi+lsp+lsf+
 li+
-lp+
+<span class="flyspell-duplicate">lp</span>+
 lf
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
-";}else{"beginTableau("+nmr+")"+
+";}else{"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
         l0+
 lsi+lsf+
 li+
-<span class="flyspell-duplicate">lf</span>
+lf
 +"
 <span class="flyspell-duplicate">endTableau</span>;
 
@@ -1640,7 +1648,7 @@ li+
 
 
 sortie:=fopen("XCasmpfc.mp");
-<span class="flyspell-duplicate">fprint</span>(sortie,Unquoted,MetaLfc);
+fprint(sortie,Unquoted,MetaLfc);
 fclose(sortie);
 
 
@@ -1663,14 +1671,14 @@ fclose(sortie);
 
 
 
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVIapp.<span class="flyspell-duplicate">cxx</span>}
+<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):={
+TVIapp(L,F,nom,nomv,f,ftt,ao,<span class="flyspell-duplicate">nmr</span>):={
 
 
 nl:=size(L);
 f:=unapply(f,x);
-<span class="flyspell-duplicate">fp</span>:=function_diff(f);
+fp:=function_diff(f);
 z0:=concat(L,F);z:=sort(z0);
 nz:=size(z);
 
@@ -1678,11 +1686,19 @@ 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(<span class="flyspell-duplicate">fp</span>(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;  }}};
+
+
+S:=op(fsolve(fp(x),x));
+if(L==[-infinity,+infinity]){j:=[seq(-100+k,k=0..200)]minus F;
+  for k in j do for(m:=-5;m&lt;=5;m++){S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for}
+else{if(L[0]==-infinity){j:=[seq(k,k=-100..floor(L[1]))] minus F;
+  for k in j do for(m:=-5;m&lt;=5;m++){ S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for}
+else{if(L[1]==+infinity){j:=[seq(k,k=floor(L[0])..100)] minus F;
+  for k in j do for(m:=-5;m&lt;=5;m++){ S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for;}
+else{ j:=[seq(k,k=floor(z[0])..floor(z[nz-1]))] minus F;
+  for               k                in               j               do
+  for(m:=-5;m&lt;=5;m++){S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for; }}};
+
 
 
 
@@ -1695,7 +1711,7 @@ 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]);
                           if(kk==1){if(kok==1){z:=append(z,simplify(S[j]))}};
                           fpour;
-<span class="flyspell-duplicate">fsi</span>;
+fsi;
 
 
 S:=NULL;
@@ -1720,36 +1736,36 @@ for(j:=1;j&lt;nz;j++){
 Z:=[S]; 
 
 
-<span class="flyspell-duplicate">nz</span>:=size(Z);
+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);
-<span class="flyspell-duplicate">LF</span>:=limit(f(x),x,Z[nz-1],-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:=<span class="flyspell-duplicate">PB</span>,1};
+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:=1;
-<span class="flyspell-duplicate">kk</span>:=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">$\\alpha_</span><span class="font-latex-subscript"><span class="font-latex-math">"</span></span><span class="font-latex-math">+aa+"$</span> etex);";<span class="flyspell-duplicate">aa</span>:=aa+1;}else{l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[k])+"$</span> etex);"}}
+if(TestS==0){A:=A,aa;l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[k])+"$</span> etex);"+"val(btex <span class="font-latex-math">$\\alpha_</span><span class="font-latex-subscript"><span class="font-latex-math">"</span></span><span class="font-latex-math">+aa+"$</span> etex);";aa:=aa+1;}else{l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[k])+"$</span> etex);"}}
 l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> etex);"};
 //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">$\\alpha_</span><span class="font-latex-subscript"><span class="font-latex-math">"</span></span><span class="font-latex-math">+aa+"$</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}};
+else{l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[kk])+"$</span> etex);";kk:=kk+1}};
 }
 
  l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[nz-1])+"$</span> etex);"
@@ -1757,7 +1773,7 @@ else{l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[kk])+"$</span> et
  };
 
 
-TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))==0.0) or (evalf(sign(<span class="flyspell-duplicate">LL</span>[1]-ao))==0.0);
+TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))==0.0) or (evalf(sign(LL[1]-ao))==0.0);
        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));
                           
@@ -1773,15 +1789,15 @@ lsi:=lsic+nom+"'("+nomv+")}<span class="font-latex-math">$ etex);"+
 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{"</span><span class="font-latex-math"><span class="flyspell-duplicate">nonDefBarre</span></span><span class="font-latex-math">;"}+
+                                 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);
+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]-ao))==0.0);
                                          
                       if(PB[r]==1){if(TestS==0){lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
                                   if(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;}        
+                                    else{lsp:=lsp+if(member(Z[rr],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"}+
+                                  if(kspp==1){"plus;"}else{"moins;"};rr:=rr+1;}        
 }}}}; 
 
 
@@ -1791,12 +1807,12 @@ else{for(r:=1; r&lt;=NL-2;r++){kspp:=evalf(fp(Z[rr]+0.01))&gt;0;TestS:=(evalf(si
 
 
 
-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">;
+lm0:=limit(f(x),x=Z[0],1)==-infinity;
 
 
 
 
-TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))==0.0) or (evalf(sign(LL[1]-</span><span class="font-latex-math"><span class="flyspell-duplicate">ao</span></span><span class="font-latex-math">))==0.0);
+TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))==0.0) or (evalf(sign(LL[1]-ao))==0.0);
 
      li:=lvic+nom+"}$</span> etex);
 "+  if(member(Z[0],F)==0){"valPos(btex <span class="font-latex-math">$"+if(lm0==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[0],1)))}+"$</span> etex,"}
@@ -1809,7 +1825,7 @@ TestS:=(evalf(sign(LL[0]-ao))==evalf(sign(LL[1]-ao))) or (evalf(sign(LL[0]-ao))=
                                                  krp:=evalf(limit(f(x),x=Z[r],1))&gt; evalf(limit(f(x),x=Z[r+1],-1)) ;  
                          lmrm:=limit(f(x),x=Z[r],-1)==-infinity;lmrp:=limit(f(x),x=Z[r],1)==-infinity;
                                                   lp:=lp+if(member(Z[r],F)) {
-                                    "limGauche(btex <span class="font-latex-math">$"+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(</span><span class="font-latex-math"><span class="flyspell-duplicate">lmrp</span></span><span class="font-latex-math">==1){"-\\infty"}else{latex(simplify(limit(f(x),x=Z[r],1)))}+"$</span> etex,"+if(krp==1){"1);"}else{"0);"}}
+                                    "limGauche(btex <span class="font-latex-math">$"+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+" $</span> etex,0.5);"
@@ -1824,11 +1840,11 @@ if(PB[r]==1){if(TestS==0){lp:=lp+if(member(Z[rr],F)){
                                     "limGauche(btex <span class="font-latex-math">$"+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+" $</span> <span class="flyspell-duplicate">etex</span>,0.5);
+                                            <span class="font-latex-math">$ "+ao+" $</span> etex,0.5);
                                                                  ";rr:=rr+1;
 }//  testS==0
 else{lp:=lp+if(member(Z[rr],F)){
-                                    "limGauche(btex <span class="font-latex-math">$"+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)))}+"$</span> etex,"+if(krp==1){"1);"}<span class="flyspell-duplicate">else</span>{"0);"}}
+                                    "limGauche(btex <span class="font-latex-math">$"+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;
@@ -1837,7 +1853,7 @@ else{lp:=lp+if(member(Z[rr],F)){
 }//for nz&lt;NL
 }// else nz&lt;NL
 //if nz=NL
-};//if <span class="flyspell-duplicate">nz</span>&gt;2
+};//if nz&gt;2
 
 
 
@@ -1845,11 +1861,11 @@ 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> <span class="flyspell-duplicate">etex</span>,"+
+           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>;"}};    
+           if(kz==1){"1);nonDefBarre;"}else{"0);nonDefBarre;"}};    
 
 
 
@@ -1857,14 +1873,14 @@ lf:=if(member(Z[nz-1],F)==0){"valPos(btex <span class="font-latex-math">$"+
 
 
 
-MetaLfc:= if(ftt==2){if(nz&gt;2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+MetaLfc:= if(ftt==2){if(nz&gt;2){"beginTableau("+nmr+")"+
         l0+lsi+lsp+lsf+"
 endTableau;
 
 ";}else{
 "beginTableau("+nmr+")"+
         l0+
-<span class="flyspell-duplicate">lsi</span>+lsf+"
+lsi+lsf+"
 endTableau;
 
 ";
@@ -1876,12 +1892,12 @@ li+
 lp+
 lf
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}else{"beginTableau("+nmr+")"+
         l0+
 li+
-<span class="flyspell-duplicate">lf</span>
+lf
 +"
 endTableau;
 ";}}else{
@@ -1892,7 +1908,7 @@ li+
 lp+
 lf
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}else{"beginTableau("+nmr+")"+
         l0+
@@ -1900,7 +1916,7 @@ lsi+lsf+
 li+
 lf
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}
 }};
@@ -1927,7 +1943,7 @@ 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>
 
@@ -1948,7 +1964,7 @@ LLL:=[];
 
 
 all_trig_solutions:=1;
-<span class="flyspell-duplicate">reset</span>_solve_counter(-1,-1);
+reset_solve_counter(-1,-1);
 
 for(d:=0;d&lt;=1;d++){
 f:=subst(f,f[d]=unapply(f[d],t));
@@ -1966,7 +1982,7 @@ 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;
-<span class="flyspell-duplicate">while</span>(evalf(subst(SS[k],n_1=m))&gt;=L[0]){
+while(evalf(subst(SS[k],n_1=m))&gt;=L[0]){
 
 S:=concat(S,simplify(subst(SS[k],n_1=m)));m:=m-1;
 
@@ -1984,11 +2000,11 @@ S:=concat(S,SS);
                           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;
 
 
 
@@ -2000,7 +2016,7 @@ 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;
 
 
  };
@@ -2012,30 +2028,30 @@ 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;
 
  lsi:="","";
 
 FFF:=[[],[]];
 
 for(d:=0;d&lt;=1;d++){
-FFF[d]:=concat(F[d],[-infinity,+<span class="flyspell-duplicate">infinity</span>]);
+FFF[d]:=concat(F[d],[-infinity,+infinity]);
        k0:= evalf(limit(f[d](x),x=Z[0],1))&gt; evalf(limit(f[d](x),x=Z[1],-1));
        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{
-                                                         if(sign(fp[d]((Z[0]+10^(-5))))==1){"plus;"}<span class="flyspell-duplicate">else</span>{"moins;"} }}
+                                                         if(sign(fp[d]((Z[0]+10^(-5))))==1){"plus;"}else{"moins;"} }}
 
 if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){      ksp:=evalf(fp[d](Z[r]+0.01))&gt;0;
                                                lsp[d]:=lsp[d]+if(member(Z[r],F[d])==0){"valBarre(btex <span class="font-latex-math">$"+latex(simplify(fp[d](Z[r])))+"$</span> etex);"}else{"nonDefBarre;"}+
                                                 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;"}}
 
 
 
@@ -2064,7 +2080,7 @@ lm0[d]:=limit(f[d](x),x,Z[0],1)==-infinity;
      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));
@@ -2075,19 +2091,19 @@ lm0[d]:=limit(f[d](x),x,Z[0],1)==-infinity;
                                     <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(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;
 
 
-<span class="flyspell-duplicate">lf</span>[d]:=if(member(Z[nz-1],F[d])==0){"valPos(btex <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;"}};    
     
 
 
@@ -2105,26 +2121,26 @@ lnz[d]:=limit(f[d](x),x=Z[nz-1],-1)==-infinity;
 
 MetaLfc:=if(ftt==2){if(nz&gt;2){"
 
-beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+beginTableau("+nmr+")"+
         l0+lsi[0]+lsp[0]+lsf[0]+lsi[1]+lsp[1]+lsf[1]+"
 endTableau;
 
 ";}else{
 intro+"beginTableau("+nmr+")"+
         l0+
-<span class="flyspell-duplicate">lsi</span>[0]+lsf[0]+lsi[1]+lsf[1]+"
+lsi[0]+lsf[0]+lsi[1]+lsf[1]+"
 endTableau;
 
 ";
 }
-}else{ if(ftt==0){if(nz&gt;2){"beginTableau("+<span class="flyspell-duplicate">nmr</span>+")"+
+}else{ if(ftt==0){if(nz&gt;2){"beginTableau("+nmr+")"+
         l0+
 li[0]+
 lp[0]+
 lf[0]+
 li[1]+
 lp[1]+
-<span class="flyspell-duplicate">lf</span>[1]
+lf[1]
 +"
 endTableau;
 
@@ -2135,19 +2151,19 @@ lf[0]+
 li[1]+
 lf[1]
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}}else{
 if(nz&gt;2){"beginTableau("+nmr+")"+
         l0+
 lsi[0]+lsp[0]+lsf[0]+
 li[0]+
-<span class="flyspell-duplicate">lp</span>[0]+
+lp[0]+
 lf[0]+
 lsi[1]+lsp[1]+lsf[1]+
 li[1]+
 lp[1]+
-<span class="flyspell-duplicate">lf</span>[1]
+lf[1]
 +"
 endTableau;
 
@@ -2160,7 +2176,7 @@ lsi[1]+lsf[1]+
 li[1]+
 lf[1]
 +"
-<span class="flyspell-duplicate">endTableau</span>;
+endTableau;
 
 ";}
 }
@@ -2183,14 +2199,14 @@ fclose(sortie);
 
 
 
-<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTabSignL.<span class="flyspell-duplicate">cxx</span>}
+<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTabSignL.cxx}
 
 
 TS(nomf,L,D,trigo,nmr):={
 L:=apply(f-&gt;unapply(f,x),L)
 n:=size(L);
 Z:=NULL;
-<span class="flyspell-duplicate">nl</span>:=size(L);
+nl:=size(L);
 S:=[];
 mini:=D[0]; maxi:=D[1];
 
@@ -2202,7 +2218,7 @@ pour k de 0 jusque n-1 faire
 if(trigo==t){
 all_trig_solutions:=1;
 reset_solve_counter(-1,-1);
-<span class="flyspell-duplicate">SS</span>:=solve(factor(simplify(L[k](x))),x);
+SS:=solve(factor(simplify(L[k](x))),x);
 ns:=size(SS);
 for(j:=0;j&lt;ns;j++){
 m:=0;
@@ -2254,7 +2270,7 @@ if(L[p]((mini+maxi)*0.5&gt;0)){"plus;"}else{"moins;"}+if(maxi!=+infinity and L[p
 
 
 MetaLfc:="    beginTableau("+nmr+")
-newLigneVariables(btex $</span> {x}<span class="font-latex-math">$ </span><span class="font-latex-math"><span class="flyspell-duplicate">etex</span></span><span class="font-latex-math">);
+newLigneVariables(btex $</span> {x}<span class="font-latex-math">$ etex);
    "+l0+li+ lsic+nomf+"(x)}$</span> etex);"+
                if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){"
                                 valBarre(btex 0 etex);"}else{"
@@ -2271,7 +2287,7 @@ endTableau;
 l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);";li:=" ";lr:=" "; 
 pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+latex(Z[m])+"$</span> etex);
 ";fpour; 
-l0:=l0+"val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> <span class="flyspell-duplicate">etex</span>);";
+l0:=l0+"val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);";
 
 
 for(p:=0;p&lt;=n-1;p++){lp:="";                                     
@@ -2290,7 +2306,7 @@ for(p:=0;p&lt;=n-1;p++){lp:="";
                 li:=li+lp+ if(simplify(L[p](Z[nz-1]))==0){"valBarre(btex 0 etex);"}else{"barre;"}+ 
                           if(L[p](Z[nz-1]+1.0)&gt;0){"plus;"}else{"moins;
     "}+if(maxi!=+infinity and L[p](maxi)==0){"
-                                valBarre(btex 0 etex);"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{"
+                                valBarre(btex 0 etex);"}else{"
                               "}
     };  
 
@@ -2335,9 +2351,9 @@ fclose(sortie);
 
 
 <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTabSignQ.cxx}
-TSq(nomf,L,Fo,D,trigo,nmr):={
+<span class="flyspell-duplicate">TSq</span>(nomf,L,Fo,D,trigo,nmr):={
 L:=apply(f-&gt;unapply(f,x),L);
-<span class="flyspell-duplicate">Fo</span>:=apply(f-&gt;unapply(f,x),Fo);
+Fo:=apply(f-&gt;unapply(f,x),Fo);
 L:=concat(L,Fo);
 n:=size(L);
 Z:=NULL;
@@ -2345,7 +2361,7 @@ m:=size(Fo);
 F:=NULL;FF:=NULL;
 mini:=D[0]; maxi:=D[1];
 S:=[];
-SF:=[];
+<span class="flyspell-duplicate">SF</span>:=[];
 
 pour k de 0 jusque n-1 faire 
 
@@ -2353,21 +2369,21 @@ pour k de 0 jusque n-1 faire
 
 if(trigo==t){
 all_trig_solutions:=1;
-reset_solve_counter(-1,-1);
+<span class="flyspell-duplicate">reset</span>_solve_counter(-1,-1);
 SS:=solve(factor(simplify(L[k](x))),x);
-<span class="flyspell-duplicate">ns</span>:=size(SS);
+ns:=size(SS);
 for(j:=0;j&lt;ns;j++){
 mm:=0;
 while(evalf(simplify(subst(SS[j],n_1=mm)))&lt;=evalf(maxi)){
 S:=concat(S,simplify(subst(SS[j],n_1=mm)));mm:=mm+1;
 };mm:=-1;
-<span class="flyspell-duplicate">while</span>(evalf(subst(SS[j],n_1=mm))&gt;=evalf(mini)){
+while(evalf(subst(SS[j],n_1=mm))&gt;=evalf(mini)){
 S:=concat(S,simplify(subst(SS[j],n_1=mm)));mm:=mm-1;
 }
 }
 
 }else{
-S:=solve(L[k](x),x);
+S:=<span class="flyspell-duplicate">concat</span>(S,<span class="flyspell-duplicate">solve</span>(L[k](x),x));
 }
 
 
@@ -2386,14 +2402,14 @@ pour k de 0 jusque m-1 faire
 
 
 if(trigo==t){
-all_trig_solutions:=1;
-reset_solve_counter(-1,-1);
-<span class="flyspell-duplicate">SSF</span>:=solve(factor(simplify(Fo[k](x))),x);
+<span class="flyspell-duplicate">all</span>_trig_solutions:=1;
+<span class="flyspell-duplicate">reset</span>_solve_counter(-1,-1);
+SSF:=solve(factor(simplify(Fo[k](x))),x);
 <span class="flyspell-duplicate">nsf</span>:=size(SSF);
 for(j:=0;j&lt;nsf;j++){
 mm:=0;
-while(evalf(simplify(subst(SSF[j],n_1=mm)))&lt;=evalf(maxi)){
-SF:=concat(SF,<span class="flyspell-duplicate">simplify</span>(<span class="flyspell-duplicate">subst</span>(SSF[j],n_1=mm)));mm:=mm+1;
+<span class="flyspell-duplicate">while</span>(evalf(simplify(subst(SSF[j],n_1=mm)))&lt;=evalf(maxi)){
+<span class="flyspell-duplicate">SF</span>:=concat(SF,simplify(subst(SSF[j],n_1=mm)));mm:=mm+1;
 };mm:=-1;
 <span class="flyspell-duplicate">while</span>(evalf(subst(SSF[j],n_1=mm))&gt;=evalf(mini)){
 SF:=concat(SF,simplify(subst(SSF[j],n_1=mm)));mm:=mm-1;
@@ -2401,26 +2417,26 @@ SF:=concat(SF,simplify(subst(SSF[j],n_1=mm)));mm:=mm-1;
 }
 
 }else{
-<span class="flyspell-duplicate">SF</span>:=solve(Fo[k](x),x);
+<span class="flyspell-duplicate">SF</span>:=<span class="flyspell-duplicate">concat</span>(<span class="flyspell-duplicate">SF</span>,<span class="flyspell-duplicate">solve</span>(<span class="flyspell-duplicate">Fo</span>[k](x),x));
 }
 
   si size(SF)&gt;0 alors pour j de 0 jusque size(SF)-1 faire 
                           FF:=FF,simplify(SF[j]);
                           if(SF[j]&gt;mini and SF[j]&lt;maxi){F:=F,simplify(SF[j]);}
                       fpour;
-  fsi;
+  <span class="flyspell-duplicate">fsi</span>;
 <span class="flyspell-duplicate">fpour</span>;
 
 
 
-Z:=<span class="flyspell-duplicate">concat</span>(Z,F);
+Z:=[Z,F];
 
 
 Z:=sort([op(set[op(Z)])]);
 
 nz:=size(Z);
 
-if(nz==0){li:="";l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> <span class="flyspell-duplicate">etex</span>);";
+if(nz==0){li:="";l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);";
           for(p:=0;p&lt;=n-1;p++){li:=li+lsic+latex(L[p](x))+"}<span class="font-latex-math">$ etex);"+
 if(mini!=-infinity and L[p](mini)==0){"
                                 valBarre(btex 0 etex);"}else{"
@@ -2436,16 +2452,12 @@ if(L[p]((mini+maxi)*0.5&gt;0)){"plus;"}else{"moins;"}+if(maxi!=+infinity and L[p
 
 
 </span><span class="font-latex-math"><span class="flyspell-duplicate">MetaLfc</span></span><span class="font-latex-math">:=" 
-beginTableau("+nmr+")
-newLigneVariables(btex $</span> {x}<span class="font-latex-math">$ etex);
+</span><span class="font-latex-math"><span class="flyspell-duplicate">beginTableau</span></span><span class="font-latex-math">("+nmr+")
+newLigneVariables(btex $</span> {x}<span class="font-latex-math">$ </span><span class="font-latex-math"><span class="flyspell-duplicate">etex</span></span><span class="font-latex-math">);
    "+l0+li+
    lsic+nomf+"(x)}$</span> etex);"+
-              if(member(mini,FF)==0){if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){"
-                                valBarre(btex 0 etex);"}else{"
-                              "}}else{"nonDefBarre;"}+  lf+
-                               if(member(maxi,FF)==0){if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){"
-                                valBarre(btex 0 etex);"}else{"
-                              "}}else{"nonDefBarre;"}+"
+              if(member(mini,FF)==0){if((mini!=-infinity) and (product(L[s](mini),s,0,n-1)==0)){" valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+  lf+
+              if(member(maxi,FF)==0){if((maxi!=+infinity) and (product(L[s](maxi),s,0,n-1)==0)){" valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+"
 endTableau;
 
 "
@@ -2463,23 +2475,17 @@ pour m de 0 jusque nz-1 faire l0:=l0+"val(btex <span class="font-latex-math">$"+
 l0:=l0+"val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> <span class="flyspell-duplicate">etex</span>);";
 
 
-for(p:=0;p&lt;=n-1;p++){<span class="flyspell-duplicate">lp</span>:="";                                     
+for(p:=0;p&lt;=n-1;p++){lp:="";                                     
      li:=li+lsic+latex(L[p](x))+"}<span class="font-latex-math">$ etex);"+
-           if(mini!=-infinity and L[p](mini)==0){"
-                                valBarre(btex 0 etex);"}else{"
-                              "}+ 
+           if(mini!=-infinity and L[p](mini)==0){" valBarre(btex 0 etex);"}else{" "}+ 
            if(L[p](Z[0]-0.01)&gt;0){"plus;"}else{"moins;"};
                                
-                           for(r:=0; r&lt;=nz-2;r++){  
-                             lp:=lp+if(simplify(L[p](Z[r]))==0){"
-                                valBarre(btex 0 etex);"}else{"barre;
-                              "}+ 
+     for(r:=0; r&lt;=nz-2;r++){lp:=lp+if(simplify(L[p](Z[r]))==0){" valBarre(btex 0 etex);"}else{"barre;"}+ 
                              if(L[p]((Z[r]+Z[r+1])*.5)&gt;0){"plus;"}else{"moins;"}};
  
                 li:=li+lp+ if(simplify(L[p](Z[nz-1]))==0){"valBarre(btex 0 etex);"}else{"barre;"}+ 
                           if(L[p](Z[nz-1]+1.0)&gt;0){"plus;"}else{"moins;
-    "}+if(maxi!=+infinity and L[p](</span><span class="font-latex-math"><span class="flyspell-duplicate">maxi</span></span><span class="font-latex-math">)==0){"
-                                valBarre(btex 0 etex);"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{" "}
+    "}+if(maxi!=+infinity and L[p](</span><span class="font-latex-math"><span class="flyspell-duplicate">maxi</span></span><span class="font-latex-math">)==0){"</span><span class="font-latex-math"><span class="flyspell-duplicate">valBarre</span></span><span class="font-latex-math">(btex 0 etex);"}</span><span class="font-latex-math"><span class="flyspell-duplicate">else</span></span><span class="font-latex-math">{" "}
                               
     };  
 
@@ -2493,21 +2499,18 @@ pour t de 0 jusque nz-2 faire
 
 
 </span><span class="font-latex-math"><span class="flyspell-duplicate">MetaLfc</span></span><span class="font-latex-math">:="
-beginTableau("+nmr+")
+</span><span class="font-latex-math"><span class="flyspell-duplicate">beginTableau</span></span><span class="font-latex-math">("+</span><span class="font-latex-math"><span class="flyspell-duplicate">nmr</span></span><span class="font-latex-math">+")
 newLigneVariables(btex $</span> {x}<span class="font-latex-math">$ </span><span class="font-latex-math"><span class="flyspell-duplicate">etex</span></span><span class="font-latex-math">);
    "+l0+
                      li
                      +
-   lsic+nomf+"(x)}$</span> etex);"+
-               if(member(mini,FF)==0){if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){"
-                                valBarre(btex 0 etex);"}else{"
-                              "}}else{"nonDefBarre;"}+  
+   </span><span class="font-latex-math"><span class="flyspell-duplicate">lsic</span></span><span class="font-latex-math">+</span><span class="font-latex-math"><span class="flyspell-duplicate">nomf</span></span><span class="font-latex-math">+"(x)}$</span> etex);"+
+               if(member(mini,FF)==0){if((mini!=-infinity) and (product(L[s](mini),s,0,n-1)==0)){" valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+  
                          if(product(L[s](Z[0]-0.01),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+
                          if(member(Z[0],FF)==0){"valBarre(btex 0 etex);"}else{ "nonDefBarre;"}+
                          lr+
                          if(product(L[s](Z[nz-1]+0.01),s,0,n-1)&gt;0){"plus;"}else{"moins;"}+
-                               if(member(maxi,FF)==0){if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){"
-                                valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+"
+                         if(member(maxi,FF)==0){if((maxi!=+infinity) and (product(L[s](maxi),s,0,n-1)==0)){"valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+"
 endTableau;
 
 "
@@ -2519,7 +2522,7 @@ endTableau;
 
 
 sortie:=fopen("XCasmpfc.mp");
-<span class="flyspell-duplicate">fprint</span>(sortie,Unquoted,MetaLfc);
+fprint(sortie,Unquoted,MetaLfc);
 fclose(sortie);
 
 
@@ -2543,15 +2546,15 @@ fclose(sortie);
 <span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTabSigna.cxx}
 TSa(a,b,c,d,nmr):={
 zA:=solve(a*x+b=0,x)[0];
-<span class="flyspell-duplicate">zB</span>:=solve(c*x+d=0,x)[0];
+zB:=solve(c*x+d=0,x)[0];
 zmin:=min(zA,zB);
-<span class="flyspell-duplicate">zmax</span>:=max(zA,zB);
+zmax:=max(zA,<span class="flyspell-duplicate">zB</span>);
   Meta:= " 
           beginTableau("+nmr+")
-   newLigneVariables(btex <span class="font-latex-math">$ {x}$</span> <span class="flyspell-duplicate">etex</span>);
+   newLigneVariables(btex <span class="font-latex-math">$ {x}$</span> etex);
    val(btex <span class="font-latex-math">$-\\infty$</span> etex);val(btex <span class="font-latex-math">$"+latex(zmin)+"$</span> etex);
 val(btex <span class="font-latex-math">$"+latex(zmax)+"$</span>etex);
-val(btex <span class="font-latex-math">$+\\infty$</span> etex); 
+val(btex <span class="font-latex-math">$+\\infty$</span> <span class="flyspell-duplicate">etex</span>); 
   "+lsic+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+"}<span class="font-latex-math">$ etex);"
         +   if(a&gt;0){"moins;"}else{"plus;"}+
                                  if(zmin==zA){"valBarre(btex 0 etex);"}else{"barre;"}+
@@ -2562,9 +2565,9 @@ val(btex <span class="font-latex-math">$+\\infty$</span> etex);
      +lsic+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+"}$</span> etex);"
         +     if(c&gt;0){"moins"}else{"plus"}+";"+
                                  if(zmin==zB){"valBarre(btex 0 etex);"}else{"barre;"}+
-                                 if(zmin==zB){si c&gt;0 alors "plus;"; sinon "moins;";<span class="flyspell-duplicate">fsi</span>}
-                                             else{si c&gt;0 alors "moins;"; sinon "plus;"; fsi}+
-                                 if(zmin==zB){"barre;"}else{"valBarre(btex 0 <span class="flyspell-duplicate">etex</span>);"}+
+                                 if(zmin==zB){si c&gt;0 alors "plus;"; sinon "moins;";fsi}
+                                             else{si c&gt;0 alors "moins;"; sinon "plus;"; <span class="flyspell-duplicate">fsi</span>}+
+                                 if(zmin==zB){"barre;"}else{"valBarre(btex 0 etex);"}+
                                  if(c&gt;0){"plus;"}else{"moins;"}  
      
    +lsic+"{("+if(a==1){"x+"}else{if(a==-1){"-x+"}else{a+"x+"}}+b+")("+if(c==1){"x+"}else{if(c==-1){"-x+"}else{c+"x+"}}+d+")}}<span class="font-latex-math">$ etex);"
@@ -2580,7 +2583,7 @@ endTableau;
 
 
 sortie:=fopen("XCasmpfc.mp");
-</span><span class="font-latex-math"><span class="flyspell-duplicate">fprint</span></span><span class="font-latex-math">(sortie,Unquoted,Meta);
+fprint(sortie,Unquoted,Meta);
 fclose(sortie);
 
 
@@ -2610,7 +2613,7 @@ 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(f(x))),x);
 <span class="flyspell-duplicate">ns</span>:=size(SS);
 for(j:=0;j&lt;ns;j++){
@@ -2634,11 +2637,11 @@ S:=solve(f(x),x);
 if(size(S)==0){
 l0:="val(btex <span class="font-latex-math">$"+latex(D[0])+"$</span> etex);val(btex <span class="font-latex-math">$"+latex(D[1])+"$</span> etex);";
 li:=if(member(mini,F)!=0){"nonDefBarre;"}else{if(mini!=-infinity and f(mini)==0){"
-                                valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{"
+                                valBarre(btex 0 etex);"}else{"
                               "}}+ 
 if(mini!=-infinity or maxi!=+infinity){if(f((mini+maxi)*0.5&gt;0)){"plus;"}else{"moins;"}}else{if(f(0)&gt;0){"plus;"}else{"moins;"}};
-<span class="flyspell-duplicate">lf</span>:=if(member(maxi,F)!=0){"nonDefBarre;"}else{if(maxi!=+infinity and f(maxi)==0){"
-                                valBarre(btex 0 etex);"}<span class="flyspell-duplicate">else</span>{"
+lf:=if(member(maxi,F)!=0){"nonDefBarre;"}else{if(maxi!=+infinity and f(maxi)==0){"
+                                valBarre(btex 0 etex);"}else{"
                               "}};
 }
 else{pour j de 0 jusque size(S)-1 faire 
@@ -2659,40 +2662,40 @@ li:=if(mini!=-infinity and f(mini)==0){"
 if(f((mini+maxi)*0.5)&gt;0){"plus;"}else{"moins;"};
 lf:=if(maxi!=+infinity and f(maxi)==0){"
                                 valBarre(btex 0 etex);"}else{if(member(maxi,F)==0){"
-                              "}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}
+                              "}else{"nonDefBarre;"}
                               };
 
 }else{
 l0:="val(btex <span class="font-latex-math">$"+latex(Z[0])+"$</span> etex);";li:=" ";
 pour m de 1 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; 
 
                                      
 li:= if(mini!=-infinity and f(mini)==0){"
                                 valBarre(btex 0 etex);"}else{if(member(mini,F)==0){"
-                              "}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}
+                              "}else{"nonDefBarre;"}
                               }                         
 
 lm:=if(nz&gt;2){for(r:=0; r&lt;nz-2;r++){lm:=lm+if(Z[r]==-infinity){
 if(f((Z[r+1]-1))&gt;0){"plus;"}else{"moins;"}
 }else{if(f((Z[r]+Z[r+1])*.5)&gt;0){"plus;"}else{"moins;"}}
 +
-            if(member(Z[r+1],F)==0){"valBarre(btex 0 etex);"}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"} 
+            if(member(Z[r+1],F)==0){"valBarre(btex 0 etex);"}else{"nonDefBarre;"} 
                            }}else{" "}; 
 
-lf:=if(f(Z[nz-2]+0.1)&gt;0){"plus;"}else{"moins;"}+if(maxi!=+infinity and f(<span class="flyspell-duplicate">maxi</span>)==0){"valBarre(btex 0 etex);"}else{if(member(maxi,F)==0){"
-                              "}else{"<span class="flyspell-duplicate">nonDefBarre</span>;"}
+lf:=if(f(Z[nz-2]+0.1)&gt;0){"plus;"}else{"moins;"}+if(maxi!=+infinity and f(maxi)==0){"valBarre(btex 0 etex);"}else{if(member(maxi,F)==0){"
+                              "}else{"nonDefBarre;"}
                               };
 }};  
 
 
 
 
-<span class="flyspell-duplicate">MetaLfc</span>:="
+MetaLfc:="
 
 beginTableau("+nmr+")
-newLigneVariables(btex <span class="font-latex-math">$\\displaystyle  {x}$</span> <span class="flyspell-duplicate">etex</span>);
+newLigneVariables(btex <span class="font-latex-math">$\\displaystyle  {x}$</span> etex);
    "+l0+lsic+latex(f(x))+"}<span class="font-latex-math">$ etex);"+
                      li+lm+lf
                      +"
@@ -2705,7 +2708,7 @@ endTableau;
 
 
 sortie:=fopen("XCasmpfc.mp");
-fprint(sortie,Unquoted,</span><span class="font-latex-math"><span class="flyspell-duplicate">MetaLfc</span></span><span class="font-latex-math">);
+fprint(sortie,Unquoted,MetaLfc);
 fclose(sortie);
  }:;
 
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.pdf b/Master/texmf-dist/doc/latex/tablor/tablor.pdf
index 3d9a5a1476f..babac2ec59e 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 880cfd34a20..c8ac39a2a28 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{17 mars 2009 - Version 4.04-b}
+\date{19 avril 2009 - Version 4.04-d}
 
 
 
@@ -172,9 +172,12 @@ barres si n�cessaire. (version 4.03)
 Un  nouvel environnement  TVIex  est  cr�� pour  avoir  les racines  des
 valeurs interm�diaires sous forme exacte quand c'est possible.(version 4.04)
 
-Un bug dans tous les TVI est corrig�.(Version 4.04)
+Un bug dans tous les TVI est corrig�.(Version 4.04).
 
-Un bug d� � une mise � jour de XCAS (version 4.04-b compatible avec les pr�c�dentes).
+Un bug d� � une mise �  jour de XCAS (version 4.04-b compatible avec les
+pr�c�dentes).
+
+Des bugs dans TVapp et TVIapp corrig�s (version 4.04-c... puis 4.04-d).
 
 \subsection{Professor.sty}
 
@@ -1186,7 +1189,7 @@ Voyons sur un exemple.
 
 Soit $g$ la fonction $x\mapsto \ln(x)-x e^{2-x} $.
 
-On �tudie d'abord la fonction $x\mapsto g'(x)$~:
+Avec les �l�ves, on �tudie d'abord la fonction $x\mapsto g'(x)$~:
 
 \begin{lstlisting}
 \begin{TVIapp}
@@ -1195,19 +1198,18 @@ On �tudie d'abord la fonction $x\mapsto g'(x)$~:
 \end{lstlisting}
 
 
-% \begin{TVIapp}
-%  TVIapp([0,+infinity],[0],"g'","x",diff(ln(x)-x*exp(2-x),x),1,0,n,\tv)
-%  \end{TVIapp}
+ \begin{TVIapp}
+  TVIapp([0,+infinity],[0],"g'","x",diff(ln(x)-x*exp(2-x),x),1,0,\tv)
+  \end{TVIapp}
 
-\stepcounter{TVn}
 
 On en d�duit le tableau suivant~:
 
 
 \begin{lstlisting}
-\begin{TVapp*}{201}
+\begin{TVapp}
   TVapp([0,+infinity],[0],"g","x",ln(x)-x*exp(2-x),1,\tv)
-\end{TVapp*}
+\end{TVapp}
 \end{lstlisting}
 
 
@@ -1216,6 +1218,50 @@ On en d�duit le tableau suivant~:
 TVapp([0,+infinity],[0],"g","x",ln(x)-x*exp(2-x),1,\tv)
 \end{TVapp}
 
+\begin{figure}[!h]
+              \begin{DANGER}
+ {TVapp et TVIapp ne sont pas infaillibles~!~!}
+
+Chercher  \emph{toutes} les  approximations des  racines de  la d�riv�es
+c'est se lancer dans la th�orie du tout c'est-�-dire concilier la
+   recherche de solutions approch�es pouvant �tre extr�mement proches 
+sur    des intervalles pouvant �tre extr�mement   �tendus. Un concepteur 
+de logiciel de calcul formel s'y refuse. Je devais m'y coller par souci
+d'efficacit�. 
+ Normalement, le  code 
+devrait fonctionner pour \emph{la plupart} des cas �tudi�s par des profs pas 
+trop  sadiques. �a ralentit  l�g�rement la  compilation. Le  balayage se
+fait avec une pr�cision de 
+0,1. C'est s�r qu'on peut trouver de nombreux exemples qui ne 
+fonctionneront pas mais plus on veut resserrer les mailles du filet, 
+plus on passe de temps � les tricoter sauf dans le cas des fonctions 
+polynomiales gr�ce � XCAS.
+
+ Se pose aussi le probl�me des 
+images et des tests de signes et de leurs approximations. Par exemple
+
+\begin{lstlisting}
+\begin{TVapp}
+TVapp([0,+infinity],[0],"g","x",1/3*x^3-0.0015*x^2+2e-06*x,1,\tv)
+\end{TVapp}
+\end{lstlisting}
+
+renvoie un tableau curieux car les images des racines de la d�riv�es 
+sont de l'ordre de $10^{-10}$. 
+
+
+\begin{TVapp}
+TVapp([0,+infinity],[0],"g","x",1/3*x^3-0.0015*x^2+2e-06*x,1,\tv)
+\end{TVapp}
+
+�a  peut  s'arranger en  donnant  en  argument suppl�mentaire le  nombre  de
+chiffres affich�s. Cela  rendrait les diff�rentes versions incompatibles
+et le jeu n'en vaut pas forc�ment la chandelle.
+               \end{DANGER}
+               \end{figure}
+
+
+
 
 \subsection{Tableaux de variations de fonctions prolongeables par continuit�}
 
@@ -1435,13 +1481,13 @@ TSq("Q",[-2*x+3,-4*x+5],[x^2-16,x-2],[-infinity,+infinity],n,\tv)
 
 \begin{lstlisting}
 \begin{TSq}
-TSq("Q",[x-10],[x+10],[-infinity,10],n,\tv)
+TSq("Q",[x-10,x-5],[x+10,x+3],[-10,10],n,\tv)
 \end{TSq}
 \end{lstlisting}
 
 
 \begin{TSq}
-TSq("Q",[x-10],[x+10],[-infinity,10],n,\tv)
+TSq("Q",[x-10,x-5],[x+10,x+3],[-10,10],n,\tv)
 \end{TSq}
 
 
diff --git a/Master/texmf-dist/tex/latex/tablor/tablor-xetex.sty b/Master/texmf-dist/tex/latex/tablor/tablor-xetex.sty
index f836d5061d1..58c3d1df703 100644
--- a/Master/texmf-dist/tex/latex/tablor/tablor-xetex.sty
+++ b/Master/texmf-dist/tex/latex/tablor/tablor-xetex.sty
@@ -1,5 +1,5 @@
 \NeedsTeXFormat{LaTeX2e}[1995/12/01]
-\ProvidesPackage{tablor-xetex}[17/03/2009 v4.04-b  la machine a  creer des
+\ProvidesPackage{tablor-xetex}[19/04/2009 v4.04-d  la machine a  creer des
 tableaux de signes et variations compatible xetex]
 
 % \copyleft Connan le Barbare (aka Guillaume Connan) \copyright
@@ -915,12 +915,16 @@ nz:=size(z);
 
 
 
-
-S:=NULL;
-if(L==[-infinity,+infinity]){j:=[seq(-100+k,k=0..200)]minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for}
-else{if(L[0]==-infinity){j:=[seq(k,k=100..floor(L[1]))] minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for}
-else{if(L[1]==+infinity){j:=[seq(k,k=floor(L[0])..100)] minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for;}
-else{ j:=[seq(k,k=floor(z[0])..floor(z[nz-1]))] minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for;  }}};
+S:=op(fsolve(fp(x),x));
+if(L==[-infinity,+infinity]){j:=[seq(-100+k,k=0..200)]minus F;
+  for k in j do for(m:=-5;m<=5;m++){S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for}
+else{if(L[0]==-infinity){j:=[seq(k,k=-100..floor(L[1]))] minus F;
+  for k in j do for(m:=-5;m<=5;m++){ S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for}
+else{if(L[1]==+infinity){j:=[seq(k,k=floor(L[0])..100)] minus F;
+  for k in j do for(m:=-5;m<=5;m++){ S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for;}
+else{ j:=[seq(k,k=floor(z[0])..floor(z[nz-1]))] minus F;
+  for               k                in               j               do
+  for(m:=-5;m<=5;m++){S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for; }}};
 
 
 
@@ -1625,11 +1629,16 @@ 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;  }}};
+S:=op(fsolve(fp(x),x));
+if(L==[-infinity,+infinity]){j:=[seq(-100+k,k=0..200)]minus F;
+  for k in j do for(m:=-5;m<=5;m++){S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for}
+else{if(L[0]==-infinity){j:=[seq(k,k=-100..floor(L[1]))] minus F;
+  for k in j do for(m:=-5;m<=5;m++){ S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for}
+else{if(L[1]==+infinity){j:=[seq(k,k=floor(L[0])..100)] minus F;
+  for k in j do for(m:=-5;m<=5;m++){ S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for;}
+else{ j:=[seq(k,k=floor(z[0])..floor(z[nz-1]))] minus F;
+  for               k                in               j               do
+  for(m:=-5;m<=5;m++){S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for; }}};
 
 
 
@@ -2314,7 +2323,7 @@ S:=concat(S,simplify(subst(SS[j],n_1=mm)));mm:=mm-1;
 }
 
 }else{
-S:=solve(L[k](x),x);
+S:=concat(S,solve(L[k](x),x));
 }
 
 
@@ -2348,7 +2357,7 @@ SF:=concat(SF,simplify(subst(SSF[j],n_1=mm)));mm:=mm-1;
 }
 
 }else{
-SF:=solve(Fo[k](x),x);
+SF:=concat(SF,solve(Fo[k](x),x));
 }
 
   si size(SF)>0 alors pour j de 0 jusque size(SF)-1 faire 
@@ -2368,7 +2377,7 @@ if(nz>2){pour u de 1 jusque nz-2 faire
 fpour;}
 
 
-Z:=concat(Z,F);
+Z:=[Z,F];
 
 Z:=sort([op(set[op(Z)])]);
 
diff --git a/Master/texmf-dist/tex/latex/tablor/tablor.sty b/Master/texmf-dist/tex/latex/tablor/tablor.sty
index d4aafbfcf0c..33e97a36a1b 100644
--- a/Master/texmf-dist/tex/latex/tablor/tablor.sty
+++ b/Master/texmf-dist/tex/latex/tablor/tablor.sty
@@ -1,5 +1,5 @@
 \NeedsTeXFormat{LaTeX2e}[1995/12/01]
-\ProvidesPackage{tablor}[17/03/2009 v4.04-b la machine a creer des tableaux de signes et variations]
+\ProvidesPackage{tablor}[19/04/2009 v4.04-d la machine a creer des tableaux de signes et variations]
 
 % \copyleft Connan le Barbare (aka Guillaume Connan) \copyright
 % This work may be distributed and/or mofified under the conditions
@@ -881,11 +881,19 @@ nz:=size(z);
 
 
 
-S:=NULL;
-if(L==[-infinity,+infinity]){j:=[seq(-100+k,k=0..200)]minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for}
-else{if(L[0]==-infinity){j:=[seq(k,k=100..floor(L[1]))] minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for}
-else{if(L[1]==+infinity){j:=[seq(k,k=floor(L[0])..100)] minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for;}
-else{ j:=[seq(k,k=floor(z[0])..floor(z[nz-1]))] minus F;for k in j do S:=S,fsolve(fp(x),x,k/10,newton_solver);end_for;  }}};
+S:=op(fsolve(fp(x),x));
+if(L==[-infinity,+infinity]){j:=[seq(-100+k,k=0..200)]minus F;
+  for k in j do for(m:=-5;m<=5;m++){S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for}
+else{if(L[0]==-infinity){j:=[seq(k,k=-100..floor(L[1]))] minus F;
+  for k in j do for(m:=-5;m<=5;m++){ S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for}
+else{if(L[1]==+infinity){j:=[seq(k,k=floor(L[0])..100)] minus F;
+  for k in j do for(m:=-5;m<=5;m++){ S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for;}
+else{ j:=[seq(k,k=floor(z[0])..floor(z[nz-1]))] minus F;
+  for               k                in               j               do
+  for(m:=-5;m<=5;m++){S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for; }}};
+
+
+
 
 
 
@@ -1590,11 +1598,19 @@ 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;  }}};
+
+
+S:=op(fsolve(fp(x),x));
+if(L==[-infinity,+infinity]){j:=[seq(-100+k,k=0..200)]minus F;
+  for k in j do for(m:=-5;m<=5;m++){S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for}
+else{if(L[0]==-infinity){j:=[seq(k,k=-100..floor(L[1]))] minus F;
+  for k in j do for(m:=-5;m<=5;m++){ S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for}
+else{if(L[1]==+infinity){j:=[seq(k,k=floor(L[0])..100)] minus F;
+  for k in j do for(m:=-5;m<=5;m++){ S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for;}
+else{ j:=[seq(k,k=floor(z[0])..floor(z[nz-1]))] minus F;
+  for               k                in               j               do
+  for(m:=-5;m<=5;m++){S:=S,fsolve(fp(x),x,k+m*0.1,newton_solver)};end_for; }}};
+
 
 
 
@@ -2279,7 +2295,7 @@ S:=concat(S,simplify(subst(SS[j],n_1=mm)));mm:=mm-1;
 }
 
 }else{
-S:=solve(L[k](x),x);
+S:=concat(S,solve(L[k](x),x));
 }
 
 
@@ -2313,7 +2329,7 @@ SF:=concat(SF,simplify(subst(SSF[j],n_1=mm)));mm:=mm-1;
 }
 
 }else{
-SF:=solve(Fo[k](x),x);
+SF:=concat(SF,solve(Fo[k](x),x));
 }
 
   si size(SF)>0 alors pour j de 0 jusque size(SF)-1 faire 
@@ -2325,7 +2341,7 @@ fpour;
 
 
 
-Z:=concat(Z,F);
+Z:=[Z,F];
 
 
 Z:=sort([op(set[op(Z)])]);
@@ -2352,12 +2368,8 @@ beginTableau("+nmr+")
 newLigneVariables(btex $ {x}$ etex);
    "+l0+li+
    lsic+nomf+"(x)}$ etex);"+
-              if(member(mini,FF)==0){if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){"
-                                valBarre(btex 0 etex);"}else{"
-                              "}}else{"nonDefBarre;"}+  lf+
-                               if(member(maxi,FF)==0){if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){"
-                                valBarre(btex 0 etex);"}else{"
-                              "}}else{"nonDefBarre;"}+"
+              if(member(mini,FF)==0){if((mini!=-infinity) and (product(L[s](mini),s,0,n-1)==0)){" valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+  lf+
+              if(member(maxi,FF)==0){if((maxi!=+infinity) and (product(L[s](maxi),s,0,n-1)==0)){" valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+"
 endTableau;
 
 "
@@ -2377,21 +2389,15 @@ l0:=l0+"val(btex $"+latex(D[1])+"$ etex);";
 
 for(p:=0;p<=n-1;p++){lp:="";                                     
      li:=li+lsic+latex(L[p](x))+"}$ etex);"+
-           if(mini!=-infinity and L[p](mini)==0){"
-                                valBarre(btex 0 etex);"}else{"
-                              "}+ 
+           if(mini!=-infinity and L[p](mini)==0){" valBarre(btex 0 etex);"}else{" "}+ 
            if(L[p](Z[0]-0.01)>0){"plus;"}else{"moins;"};
                                
-                           for(r:=0; r<=nz-2;r++){  
-                             lp:=lp+if(simplify(L[p](Z[r]))==0){"
-                                valBarre(btex 0 etex);"}else{"barre;
-                              "}+ 
+     for(r:=0; r<=nz-2;r++){lp:=lp+if(simplify(L[p](Z[r]))==0){" valBarre(btex 0 etex);"}else{"barre;"}+ 
                              if(L[p]((Z[r]+Z[r+1])*.5)>0){"plus;"}else{"moins;"}};
  
                 li:=li+lp+ if(simplify(L[p](Z[nz-1]))==0){"valBarre(btex 0 etex);"}else{"barre;"}+ 
                           if(L[p](Z[nz-1]+1.0)>0){"plus;"}else{"moins;
-    "}+if(maxi!=+infinity and L[p](maxi)==0){"
-                                valBarre(btex 0 etex);"}else{" "}
+    "}+if(maxi!=+infinity and L[p](maxi)==0){"valBarre(btex 0 etex);"}else{" "}
                               
     };  
 
@@ -2411,15 +2417,12 @@ newLigneVariables(btex $ {x}$ etex);
                      li
                      +
    lsic+nomf+"(x)}$ etex);"+
-               if(member(mini,FF)==0){if(mini!=-infinity and product(L[s](mini),s,0,n-1)==0){"
-                                valBarre(btex 0 etex);"}else{"
-                              "}}else{"nonDefBarre;"}+  
+               if(member(mini,FF)==0){if((mini!=-infinity) and (product(L[s](mini),s,0,n-1)==0)){" valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+  
                          if(product(L[s](Z[0]-0.01),s,0,n-1)>0){"plus;"}else{"moins;"}+
                          if(member(Z[0],FF)==0){"valBarre(btex 0 etex);"}else{ "nonDefBarre;"}+
                          lr+
                          if(product(L[s](Z[nz-1]+0.01),s,0,n-1)>0){"plus;"}else{"moins;"}+
-                               if(member(maxi,FF)==0){if(maxi!=+infinity and product(L[s](maxi),s,0,n-1)==0){"
-                                valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+"
+                         if(member(maxi,FF)==0){if((maxi!=+infinity) and (product(L[s](maxi),s,0,n-1)==0)){"valBarre(btex 0 etex);"}else{" "}}else{"nonDefBarre;"}+"
 endTableau;
 
 "
author	Karl Berry <karl@freefriends.org>	2009-04-20 00:11:54 +0000
committer	Karl Berry <karl@freefriends.org>	2009-04-20 00:11:54 +0000
commit	66177f74989fac44bc5003990547ae9fcb5e8b00 (patch)
tree	6b7378caf0dfd78309958f2246b7c319478abe16
parent	b3594201954d5e5c7b4894579aeddaa5c0112c1c (diff)