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authorKarl Berry <karl@freefriends.org>2008-06-15 23:49:31 +0000
committerKarl Berry <karl@freefriends.org>2008-06-15 23:49:31 +0000
commitc8f6037d99411606a58309f74fba8a93da0167af (patch)
treed8633de0fa7bd06556fcec66e9f678f0fa63cc6c
parentc4f690378dab1eb49ee454e7ecce5b0010d1af8a (diff)
tablor update (15jun08)
git-svn-id: svn://tug.org/texlive/trunk@8763 c570f23f-e606-0410-a88d-b1316a301751
-rw-r--r--Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.02
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53 files changed, 7045 insertions, 4265 deletions
diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.0 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.0
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diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.1 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.1
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diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.10 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.10
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diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.5 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.5
index 082f6e91a80..ec2e42c3937 100644
--- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.5
+++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.5
@@ -2,14 +2,14 @@
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%%BeginProlog
diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.6 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.6
index ded13d5ebeb..43bbc4eec34 100644
--- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.6
+++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.6
@@ -2,14 +2,14 @@
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%*Font: futr8r 6.96591 9.96265 30:e04
%%BeginProlog
diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.7 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.7
index eacd98c5a7b..a5ea2ec6502 100644
--- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.7
+++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.7
@@ -2,14 +2,14 @@
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%*Font: fourier-ms 6.96591 9.96265 30:8
%*Font: futr8r 6.96591 9.96265 30:e04
%%BeginProlog
diff --git a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.9 b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.9
index 0d7c5c3314a..9db7e1ac706 100644
--- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.9
+++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.9
@@ -2,13 +2,13 @@
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%*Font: fourier-ms 6.96591 9.96265 30:8
%%BeginProlog
%%EndProlog
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 2c18189dbe8..5797a66cf34 100644
--- a/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp
+++ b/Master/texmf-dist/doc/latex/tablor/Figures/tablor.Tab.mp
@@ -107,8 +107,55 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle g}$ etex);no
valPos(btex $+\infty $ etex,1);
endTableau;
+beginTableau(10) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
+val(btex $\frac{1}{8} \times \pi $ etex);
+val(btex $\frac{1}{3} \times \pi $ etex);
+val(btex $\frac{3}{8} \times \pi $ etex);
+val(btex $\frac{\pi }{2}$ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x'(t)}$ etex);valBarre(btex $0$ etex);moins;valBarre(btex $-\left(3\sin\left(\frac{3\pi }{8}\right)\right)$ etex);moins;valBarre(btex $0$ etex);plus;valBarre(btex $3\sin\left(\frac{\pi }{8}\right)$ etex);plus;valBarre(btex $3$ etex);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle x}$ etex);valPos(btex $1$ etex,1);valPos(btex $\cos\left(\frac{3\pi }{8}\right)$
+ etex,0.5);valPos(btex $-1$
+ etex,0);
+valPos(btex $-\left(\cos\left(\frac{\pi }{8}\right)\right)$
+ etex,0.5);valPos(btex $0$ etex,1);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle y'(t)}$ etex);valBarre(btex $4$ etex);plus;valBarre(btex $0$ etex);moins;valBarre(btex $-2$ etex);moins;valBarre(btex $0$ etex);plus;valBarre(btex $4$ etex);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle y}$ etex);valPos(btex $0$ etex,0);valPos(btex $1$
+ etex,1);valPos(btex $-\left(\frac{1}{2} \times \sqrt{3}\right)$
+ etex,0.5);valPos(btex $-1$
+ etex,0);
+valPos(btex $0$ etex,1);
+endTableau;
+
+beginTableau(11) newLigneVariables(btex $t$ etex);val(btex $-\infty $ etex);
+val(btex $-4$ etex);
+val(btex $-1$ etex);
+val(btex $0$ etex);
+val(btex $2$ etex);
+val(btex $+\infty $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x'(t)}$ etex); moins;valBarre(btex $0$ etex);plus;nonDefBarre;plus;valBarre(btex $0$ etex);moins;nonDefBarre;moins;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle x}$ etex);valPos(btex $1$ etex,1);valPos(btex $\frac{8}{9}$
+ etex,0);
+limGauche(btex
+ $+\infty $
+ etex,1);nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $0$
+ etex,1);limGauche(btex
+ $-\infty$
+ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $1$ etex,0);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle y'(t)}$ etex); moins;valBarre(btex $\frac{-64}{9}$ etex);moins;nonDefBarre;moins;valBarre(btex $0$ etex);plus;valBarre(btex $\frac{44}{9}$ etex);plus;
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle y}$ etex);valPos(btex $+\infty $ etex,1);valPos(btex $\frac{32}{3}$
+ etex,0.5);limGauche(btex
+ $-\infty$
+ etex,0);nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $0$
+ etex,0);
+valPos(btex $\frac{16}{3}$
+ etex,0.5);valPos(btex $+\infty $ etex,1);
+endTableau;
+
- beginTableau(10)
+ beginTableau(12)
newLigneVariables(btex $ {x}$ etex);
val(btex $-\infty$ etex);val(btex $\frac{3}{2}$ etex);
val(btex $5$etex);
@@ -118,7 +165,7 @@ 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(11)
+ beginTableau(13)
newLigneVariables(btex $ {x}$ etex);
val(btex $-\infty $ etex);val(btex $-\left(\sqrt{2}\right)$ etex);
val(btex $-1$ etex);
@@ -167,7 +214,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle P(x)}$ etex);
endTableau;
- beginTableau(12)
+ beginTableau(14)
newLigneVariables(btex $ {x}$ etex);
val(btex $-15$ etex);val(btex $-10$ etex);
val(btex $10$ etex);
@@ -184,7 +231,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f(x)}$ etex);
endTableau;
-beginTableau(13)
+beginTableau(15)
newLigneVariables(btex $ {x}$ etex);
val(btex $-\infty $ etex);val(btex $-4$ etex);
val(btex $\frac{5}{4}$ etex);
@@ -223,7 +270,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle Q(x)}$ etex);
endTableau;
-beginTableau(14)
+beginTableau(16)
newLigneVariables(btex $ {x}$ etex);
val(btex $-\infty $ etex);val(btex $-10$ etex);
val(btex $10$ etex);
@@ -240,7 +287,7 @@ endTableau;
-beginTableau(15)
+beginTableau(17)
newLigneVariables(btex $\displaystyle {x}$ etex);
val(btex $-10$ etex);val(btex $-5$ etex);
val(btex $10$ etex);
@@ -269,7 +316,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle F(x)}$ etex);
endTableau;
- beginTableau(16) 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(18) 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 $-1$
@@ -277,7 +324,7 @@ nonDefBarre;limDroite(btex $+\infty $ etex,1);valPos(btex $ 2 $ etex,0.5); valPo
$ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1);
endTableau;
-beginTableau(17) newLigneVariables(btex $x$ etex);val(btex $\frac{-1}{2}$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
+beginTableau(19) 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 $0$
@@ -285,13 +332,13 @@ valPos(btex $\frac{1}{4}$ etex,1); valPos(btex $0$
$ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1);
endTableau;
-beginTableau(18) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
+beginTableau(20) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);nonDefBarre;plus;valBarre(btex$ $ etex);plus;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);
nonDefBarre;limDroite(btex $-\infty$ etex,0);valPos(btex $ 2 $ etex,0.5);valPos(btex $+\infty $ etex,1);
endTableau;
-beginTableau(20) newLigneVariables(btex $x$ etex);val(btex $1$ etex);
+beginTableau(22) newLigneVariables(btex $x$ etex);val(btex $1$ etex);
val(btex $+\infty $ etex);
newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex); moins;
@@ -299,7 +346,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);va
endTableau;
-beginTableau(21) 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(23) 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 $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);valBarre(btex 0 etex);moins;valBarre(btex$ $ etex);moins; 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 $ 1/2 $ etex,0.5); valPos(btex $1$
@@ -307,7 +354,7 @@ 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(22) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
+beginTableau(24) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
val(btex $\pi $ etex);
val(btex $2\pi $ etex);
@@ -317,14 +364,14 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);va
valPos(btex $1$ etex,1);
endTableau;
-beginTableau(23) newLigneVariables(btex $t$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\frac{\pi }{2}$ etex);val(btex $\pi $ etex);
+beginTableau(25) 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 $\hbox{ Signe de }\atop{\displaystyle h'(t)}$ etex); plus;valBarre(btex$ $ etex);plus; nonDefBarre;plus;
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle h}$ 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(24) 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(26) 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 $\frac{3}{4} \times \sqrt{3}$
@@ -332,7 +379,7 @@ 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(25) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);
+beginTableau(27) newLigneVariables(btex $x$ etex);val(btex $-1$ etex);
val(btex $0$ etex);
val(btex $+\infty $ etex);
@@ -342,7 +389,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);no
endTableau;
- beginTableau(26)
+ beginTableau(28)
newLigneVariables(btex $ {x}$ etex);
val(btex $-10$ etex);val(btex $-\left(\frac{1}{2} \times \sqrt{5}\right)+\frac{-3}{2}$ etex);
val(btex $-1$ etex);
@@ -384,7 +431,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle G(x)}$ etex);
endTableau;
- beginTableau(27) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);val(btex $-3$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
+ beginTableau(29) 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 $-\left(e^{-4}\right)-1$
@@ -392,7 +439,7 @@ valPos(btex $-1$ etex,1); valPos(btex $-\left(e^{-4}\right)-1$
$ 0 $ etex,0.5);valPos(btex $+\infty $ etex,1);
endTableau;
-beginTableau(28) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
+beginTableau(30) 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 $2$
@@ -400,7 +447,7 @@ valPos(btex $1$ etex,0); valPos(btex $2$
$ 0 $ etex,0.5);valPos(btex $-\infty$ etex,0);
endTableau;
-beginTableau(30) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
+beginTableau(32) newLigneVariables(btex $x$ etex);val(btex $0$ etex);
val(btex $1$ etex);
val(btex $+\infty $ etex);
@@ -410,13 +457,13 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);va
endTableau;
-beginTableau(31) newLigneVariables(btex $x$ etex);val(btex $0$ etex);val(btex $\alpha_1$ etex);val(btex $\pi $ etex);
+beginTableau(33) 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(32) 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(34) 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 $\frac{1}{4}$
@@ -426,7 +473,7 @@ endTableau;
-beginTableau(33)
+beginTableau(35)
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);
@@ -434,7 +481,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle (x-10)(x+10)}$ etex);
valBarre(btex 0 etex);
endTableau;
-beginTableau(34) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+beginTableau(36) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
val(btex $-\left(\sqrt{2}\right)$ etex);
val(btex $-1$ etex);
val(btex $1$ etex);
@@ -445,7 +492,7 @@ 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(35) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+beginTableau(37) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
val(btex $-1$ etex);
val(btex $1$ etex);
val(btex $+\infty $ etex);
@@ -454,7 +501,48 @@ 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);debutNonDef;finNonDef;limDroite(btex $-\infty$ etex,0);valPos(btex $+\infty $ etex,1);
endTableau;
-beginTableau(36) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+beginTableau(38) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
+val(btex $\frac{1}{8} \times \pi $ etex);
+val(btex $\frac{1}{3} \times \pi $ etex);
+val(btex $\frac{3}{8} \times \pi $ etex);
+val(btex $\frac{\pi }{2}$ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x'(t)}$ etex);valBarre(btex $0$ etex);moins;valBarre(btex $-\left(3\sin\left(\frac{3\pi }{8}\right)\right)$ etex);moins;valBarre(btex $0$ etex);plus;valBarre(btex $3\sin\left(\frac{\pi }{8}\right)$ etex);plus;valBarre(btex $3$ etex);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle x}$ etex);valPos(btex $1$ etex,1);valPos(btex $\cos\left(\frac{3\pi }{8}\right)$
+ etex,0.5);valPos(btex $-1$
+ etex,0);
+valPos(btex $-\left(\cos\left(\frac{\pi }{8}\right)\right)$
+ etex,0.5);valPos(btex $0$ etex,1);
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle y'(t)}$ etex);valBarre(btex $4$ etex);plus;valBarre(btex $0$ etex);moins;valBarre(btex $-2$ etex);moins;valBarre(btex $0$ etex);plus;valBarre(btex $4$ etex);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle y}$ etex);valPos(btex $0$ etex,0);valPos(btex $1$
+ etex,1);valPos(btex $-\left(\frac{1}{2} \times \sqrt{3}\right)$
+ etex,0.5);valPos(btex $-1$
+ etex,0);
+valPos(btex $0$ etex,1);
+endTableau;
+
+beginTableau(39) newLigneVariables(btex $t$ etex);val(btex $0$ etex);
+val(btex $\frac{1}{3} \times \pi $ etex);
+val(btex $\pi $ etex);
+val(btex $\frac{5}{3} \times \pi $ etex);
+val(btex $2\pi $ etex);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle x'(t)}$ etex);valBarre(btex $-1$ etex);moins;valBarre(btex $0$ etex);plus;valBarre(btex $3$ etex);plus;valBarre(btex $0$ etex);moins;valBarre(btex $-1$ etex);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle x}$ etex);valPos(btex $0$ etex,1);valPos(btex $-\left(\sqrt{3}\right)-\left(\frac{1}{-3} \times \pi \right)$
+ etex,0);
+valPos(btex $\pi $
+ etex,0.5);valPos(btex $\sqrt{3}+\frac{5}{3} \times \pi $
+ etex,1);valPos(btex $2\pi $ etex,0);
+
+newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle y'(t)}$ etex);valBarre(btex $0$ etex);moins;valBarre(btex $-\left(\sqrt{3}\right)$ etex);moins;valBarre(btex $0$ etex);plus;valBarre(btex $\sqrt{3}$ etex);plus;valBarre(btex $0$ etex);
+newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle y}$ etex);valPos(btex $1$ etex,1);valPos(btex $0$
+ etex,0.5);valPos(btex $-3$
+ etex,0);
+valPos(btex $0$
+ etex,0.5);valPos(btex $1$ etex,1);
+endTableau;
+
+beginTableau(40) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
val(btex $-1$ etex);
val(btex $1$ etex);
val(btex $\frac{5}{2}$ etex);
@@ -466,7 +554,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle f'(x)}$ etex);moins; d
newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);valPos(btex $+\infty $ etex,1); limGauche(btex $\sqrt{35}$ etex,0);debutNonDef;finNonDef;limDroite(btex $\sqrt{15}$ etex,0);valPos(btex$\sqrt{21}$etex,1);limGauche(btex $\sqrt{15}$ etex,0);debutNonDef;finNonDef;limDroite(btex $\sqrt{35}$ etex,0);valPos(btex $+\infty $ etex,1);
endTableau;
-beginTableau(37) newLigneVariables(btex $x$ etex);val(btex $-5$ etex);
+beginTableau(41) newLigneVariables(btex $x$ etex);val(btex $-5$ etex);
val(btex $\frac{2}{5}$ etex);
val(btex $10$ etex);
@@ -475,7 +563,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);va
valPos(btex $242$ etex,1);
endTableau;
-beginTableau(38) newLigneVariables(btex $x$ etex);val(btex $-20$ etex);
+beginTableau(42) newLigneVariables(btex $x$ etex);val(btex $-20$ etex);
val(btex $-\left(\frac{1}{9} \times \sqrt{7}\right)+\frac{5}{9}$ etex);
val(btex $\frac{1}{9} \times \sqrt{7}+\frac{5}{9}$ etex);
val(btex $20$ etex);
@@ -486,7 +574,7 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);va
valPos(btex $22033$ etex,1);
endTableau;
-beginTableau(39) newLigneVariables(btex $x$ etex);val(btex $-20$ etex);
+beginTableau(43) newLigneVariables(btex $x$ etex);val(btex $-20$ etex);
val(btex $-\left(\frac{1}{9} \times \sqrt{7}\right)+\frac{5}{9}$ etex);
val(btex $\frac{1}{9} \times \sqrt{7}+\frac{5}{9}$ etex);
val(btex $20$ etex);
@@ -500,7 +588,7 @@ endTableau;
-beginTableau(40)
+beginTableau(44)
newLigneVariables(btex $\displaystyle {x}$ etex);
val(btex $-20$ etex);val(btex $ 1.942052$ etex);
val(btex $20$ etex);
@@ -511,7 +599,7 @@ endTableau;
-beginTableau(41)
+beginTableau(45)
newLigneVariables(btex $\displaystyle {x}$ etex);
val(btex $-20$ etex);val(btex $ 1.942052$ etex);
val(btex $20$ etex);
@@ -520,7 +608,7 @@ newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3x^{3}-\left(5x^{2}\ri
endTableau;
-beginTableau(42) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);val(btex $ 0.000000$ etex);val(btex $\alpha_1$ etex);val(btex $+\infty $ etex);
+beginTableau(46) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);val(btex $ 0.000000$ 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 $\frac{1}{2}$ etex,0); valPos(btex $ 1.000000$
@@ -528,7 +616,7 @@ valPos(btex $\frac{1}{2}$ etex,0); valPos(btex $ 1.000000$
$ 0 $ etex,0.5);valPos(btex $-\infty$ etex,0);
endTableau;
-beginTableau(43) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
+beginTableau(47) newLigneVariables(btex $x$ etex);val(btex $-\infty $ etex);
val(btex $ 0.639232$ etex);
val(btex $+\infty $ etex);
@@ -538,48 +626,3 @@ newLigneVariations(btex $\hbox{ Variations de }\atop{\displaystyle f}$ etex);va
endTableau;
-end
- beginTableau(105)
-newLigneVariables(btex $ {x}$ etex);
- val(btex $-50$ etex);val(btex $-\frac{2}{3}$ etex);
-val(btex $-\frac{\sqrt{5}}{5}$ etex);
-val(btex $\frac{\sqrt{5}}{5}$ etex);
-val(btex $50$ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3x+2}$ etex);
- moins;
- valBarre(btex 0 etex);plus;barre;
- plus;barre;plus;
-
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 5x^{2}-1}$ 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;
-
- end
- beginTableau(105)
-newLigneVariables(btex $ {x}$ etex);
- val(btex $-50$ etex);val(btex $-\frac{2}{3}$ etex);
-val(btex $-\frac{\sqrt{5}}{5}$ etex);
-val(btex $\frac{\sqrt{5}}{5}$ etex);
-val(btex $50$ etex);
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 3x+2}$ etex);
- moins;
- valBarre(btex 0 etex);plus;barre;
- plus;barre;plus;
-
-newLigneSignes(btex $\hbox{ Signe de }\atop{\displaystyle 5x^{2}-1}$ 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;
-
- end
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.html b/Master/texmf-dist/doc/latex/tablor/tablor.html
index 50d1a09f060..e4f32c8810f 100644
--- a/Master/texmf-dist/doc/latex/tablor/tablor.html
+++ b/Master/texmf-dist/doc/latex/tablor/tablor.html
@@ -81,7 +81,7 @@
<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>}[02/06/2008 v2.08 la machine a creer des tableaux de signes et variations]
+<span class="font-latex-sedate">\ProvidesPackage</span>{tablor}[12/06/2008 v3.00 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
@@ -92,7 +92,7 @@
</span><span class="comment-delimiter">% </span><span class="comment">tablor.pdf and tablor.html
</span>
-<span class="comment-delimiter">%% </span><span class="comment">Cr&#233;e 16 environnements :
+<span class="comment-delimiter">%% </span><span class="comment">Cree 16 environnements :
</span><span class="comment-delimiter">%% </span><span class="comment">tableau de signes de 2 facteurs affines
</span><span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TSa}
</span><span class="comment-delimiter">% </span><span class="comment">TSa(-2,3,-1,5,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">);
@@ -120,36 +120,44 @@
</span><span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\end</span></span><span class="comment">{TVZ}
</span><span class="comment-delimiter">%</span><span class="comment">
</span><span class="comment-delimiter">%</span><span class="comment">
-</span><span class="comment-delimiter">% </span><span class="comment">tableau avec valeurs interm&#233;diares
+</span><span class="comment-delimiter">% </span><span class="comment">tableau avec valeurs intermediares
</span><span class="comment-delimiter">%</span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TVI}
</span><span class="comment-delimiter">%</span><span class="comment">TVI([-1,+infinity],[-1],"f","x",x2/sqrt(x+1)-1,1,2,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">)
</span><span class="comment-delimiter">%</span><span class="font-latex-sedate"><span class="comment">\end</span></span><span class="comment">{TVI}
</span><span class="comment-delimiter">%%%</span><span class="comment">
-</span><span class="comment-delimiter">% </span><span class="comment">tableau de variations avec f' sans z&#233;ro formel
+</span><span class="comment-delimiter">% </span><span class="comment">tableau de variations avec f' sans zero formel
</span><span class="comment-delimiter">%</span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TVapp}
</span><span class="comment-delimiter">% </span><span class="comment">TVapp([0,+infinity],[0],"g","x",ln(x)-x*exp(2-x),1,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">)
</span><span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\end</span></span><span class="comment">{TVapp}
</span><span class="comment-delimiter">%</span><span class="comment">
</span><span class="comment-delimiter">%</span><span class="comment">
-</span><span class="comment-delimiter">% </span><span class="comment">tableau de variations avec f' sans z&#233;ro formel
+</span><span class="comment-delimiter">% </span><span class="comment">tableau de variations avec f' sans zero formel
</span><span class="comment-delimiter">%</span><span class="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TVIapp}
</span><span class="comment-delimiter">% </span><span class="comment">TVIapp([0,+infinity],[0],"g","x",ln(x)-x*exp(2-x),1,0,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">)
</span><span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\end</span></span><span class="comment">{TVIapp}
</span><span class="comment-delimiter">%</span><span class="comment">
</span><span class="comment-delimiter">%</span><span class="comment">
</span><span class="comment-delimiter">%%%</span><span class="comment">
-</span><span class="comment-delimiter">% </span><span class="comment">et leurs pendants &#233;toil&#233;s qui permettent l'affichage interm&#233;diaire du
+</span><span class="comment-delimiter">% </span><span class="comment">et leurs pendants etoiles qui permettent l'affichage intermediaire du
</span><span class="comment-delimiter">% </span><span class="comment">fichier metapost pour le modifier
</span><span class="comment-delimiter">%</span><span class="comment">
</span><span class="comment-delimiter">%</span><span class="comment">
+</span><span class="comment-delimiter">% </span><span class="comment">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)],1,0,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">)
+</span><span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\end</span></span><span class="comment">{TVP}
</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="font-latex-sedate"><span class="comment">\begin</span></span><span class="comment">{TVP}
+</span><span class="comment-delimiter">% </span><span class="comment">TVP([0,pi/2],[[],[]],["x","y"],"t",[2*cos(t),sin(2*t)],1,1,</span><span class="font-latex-sedate"><span class="comment">\tv</span></span><span class="comment">)
+</span><span class="comment-delimiter">% </span><span class="font-latex-sedate"><span class="comment">\end</span></span><span class="comment">{TVP}
+</span><span class="comment-delimiter">% </span><span class="comment">%
</span>
<span class="comment-delimiter">%% </span><span class="comment">extensions requises
-</span><span class="comment-delimiter">%% </span><span class="comment">Il faudra rajouter dans le pr&#233;ambule </span><span class="font-latex-sedate"><span class="comment">\usepackage</span></span><span class="comment">{graphicx} si vous
+</span><span class="comment-delimiter">%% </span><span class="comment">Il faudra rajouter dans le preambule </span><span class="font-latex-sedate"><span class="comment">\usepackage</span></span><span class="comment">{graphicx} si vous
</span><span class="comment-delimiter">%% </span><span class="comment">ne l'avez pas de base
</span>
@@ -158,8 +166,9 @@
<span class="font-latex-sedate">\RequirePackage</span>{fancyvrb}
<span class="font-latex-sedate">\RequirePackage</span>{ifpdf}
+<span class="font-latex-sedate">\fvset</span>{gobble=0}
-<span class="comment-delimiter">% </span><span class="comment">option xcas pr&#233;sent
+<span class="comment-delimiter">% </span><span class="comment">option xcas present
</span>
<span class="font-latex-sedate">\newboolean</span>{xcas}<span class="font-latex-sedate">\setboolean</span>{xcas}{false}
@@ -175,13 +184,13 @@
</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 ext&#233;rieur pour la plateforme
-</span><span class="comment-delimiter">%% </span><span class="comment">et l'&#233;diteur
+<span class="comment-delimiter">%% </span><span class="comment">on configure tablor dans un fichier exterieur pour la plateforme
+</span><span class="comment-delimiter">%% </span><span class="comment">et l'editeur
</span>
<span class="font-latex-sedate">\IfFileExists</span>{tablor.cfg}{<span class="font-latex-sedate"><span class="keyword">\input</span></span><span class="constant">{tablor.cfg}</span>}<span class="comment">%</span><span class="font-latex-sedate"><span class="comment">\typeout</span></span><span class="comment">{pas de fichier tablor.cfg}}
</span>
-<span class="comment-delimiter">%% </span><span class="comment">D&#233;finit des commandes disque selon l'OS utilis&#233;
+<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"><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">%
@@ -202,7 +211,7 @@
<span class="comment-delimiter">%% </span><span class="comment">pour nettoyer les fichiers auxiliaires
</span>
-<span class="font-latex-sedate">\AtEndDocument</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> *.user XCas* Xcas* *.mpx}
+<span class="font-latex-sedate">\AtEndDocument</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> *.user XCas* Xcas* *.mpx}
}
@@ -211,17 +220,17 @@
<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.mp}
-end
+ end
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
-<span class="comment-delimiter">%% </span><span class="comment">Nettoie les fichiers log dont le nom d&#233;pend du choix de l'utilisateur
-</span><span class="comment-delimiter">%% </span><span class="comment">Par d&#233;faut, c'est le nom du fichier tex courant (</span><span class="font-latex-sedate"><span class="comment">\jobname</span></span><span class="comment">)
-</span><span class="comment-delimiter">%% </span><span class="comment">Cl&#244;t le fichier metapost contenant le r&#233;capitulatif de tous les tableaux
+<span class="comment-delimiter">%% </span><span class="comment">Nettoie les fichiers log dont le nom depend du choix de l'utilisateur
+</span><span class="comment-delimiter">%% </span><span class="comment">Par defaut, c'est le nom du fichier tex courant (</span><span class="font-latex-sedate"><span class="comment">\jobname</span></span><span class="comment">)
+</span><span class="comment-delimiter">%% </span><span class="comment">Cl&#244;t le fichier metapost contenant le recapitulatif de tous les tableaux
</span>
@@ -233,7 +242,7 @@ end
<span class="comment-delimiter">%% </span><span class="comment">Donne comme prefixe aux tableaux le prefixe courant
-</span><span class="comment-delimiter">%% </span><span class="comment">Peut-&#234;tre modifi&#233; par </span><span class="font-latex-sedate"><span class="comment">\initablor</span></span><span class="comment">
+</span><span class="comment-delimiter">%% </span><span class="comment">Peut-&#234;tre modifie par </span><span class="font-latex-sedate"><span class="comment">\initablor</span></span><span class="comment">
</span>
<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\Tableaux</span></span><span class="function-name">}</span>{<span class="font-latex-sedate">\jobname</span>}
@@ -247,25 +256,25 @@ end
-<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 d&#233;faut)
-</span><span class="comment-delimiter">%% </span><span class="comment">effectue quelques v&#233;rifications :
+<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>
<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\initablor</span></span><span class="function-name">}</span>[1][<span class="font-latex-sedate">\jobname</span>]{<span class="comment">%
</span><span class="font-latex-sedate"><span class="keyword">\renewcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\Tableaux</span></span><span class="function-name">}</span>{#1}<span class="comment">% Arret du nom des tableaux
</span><span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{0}</span><span class="comment">% Initialisation du compteur de tableaux.
</span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{xcas}}<span class="comment">% Avec l'option XCas
-</span>{<span class="font-latex-sedate">\IfFileExists</span>{<span class="font-latex-sedate">\Tableaux</span>.Tab.mp}<span class="comment">% Si Tableaux.mp est pr&#233;sent...
-</span> {<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> <span class="font-latex-sedate">\Tableaux</span>.Tab.mp}}<span class="comment">% le d&#233;truire
+</span>{<span class="font-latex-sedate">\IfFileExists</span>{<span class="font-latex-sedate">\Tableaux</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">\Tableaux</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">\Tableaux</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">\Tableaux</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">\Tableaux</span>.Tab}}<span class="comment">% l'ex&#233;cuter pour reconstituer les figures
+</span>{<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost -interaction=batchmode <span class="font-latex-sedate">\Tableaux</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 pr&#233;sents )
+</span> <span class="comment">% peuvent &#234;tre presents )
</span>}}<span class="comment">%
</span>
@@ -809,7 +818,7 @@ 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 avec
-</span><span class="comment-delimiter">%% </span><span class="comment">Valeurs interm&#233;diaires
+</span><span class="comment-delimiter">%% </span><span class="comment">Valeurs intermediaires
</span><span class="comment-delimiter">%%</span><span class="comment">
</span>
@@ -1248,9 +1257,239 @@ 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">
+</span>
+
+
+
+
+
+
+<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XcasTVP.cxx}
+
+
+TVP(L,F,nom,nomv,ff,ftt,trigo,nmr):={
+//local Z,LLL,FFF,nl,fp,f,S,d,t,ns,k,m,x,j,kk,nz,u,l0;
+nl:=size(L);
+fp:=[];
+S:=[];
+f:=ff;
+Z:=[];
+LLL:=[];
+for(d:=0;d&lt;=1;d++){
+f:=subst(f,f[d]=unapply(f[d],t));
+fp:=append(fp,fonction_derivee(f[d]));
+LLL:=concat(L,F[d]);
+Z:=LLL union Z;
+
+ns:=size(resoudre(factor(simplifier(fp[d](t))),t));
+reset_solve_counter(0);
+for(k:=0;k&lt;ns;k++){
+if(trigo==1){
+all_trig_solutions:=1;
+reset_solve_counter(-1,-1);m:=0;
+while(simplifier(subst(resoudre(factor(simplifier(fp[d](t))),t)[k],n_1=m))&lt;=evalf(L[nl-1])){
+reset_solve_counter(-1,-1);
+S:=concat(S,simplifier(subst(resoudre(factor(simplifier(fp[d](t))),t)[k],n_1=m)));m:=m+1;
+reset_solve_counter(-1,-1);
+};m:=-1;
+while(evalf(subst(resoudre(factor(simplifier(fp[d](t))),t)[k],n_1=m))&gt;=L[0]){
+reset_solve_counter(-1,-1);
+S:=concat(S,simplifier(subst(resoudre(factor(simplifier(fp[d](t))),t)[k],n_1=m)));m:=m-1;
+reset_solve_counter(-1,-1);
+}
+}else{
+S:=concat(S,resoudre(factor(simplifier(fp[d](x))),x));
+}
+}
+ si size(S)&gt;0 alors pour j de 0 jusque size(S)-1 faire
+ qq:=member(simplifier(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,simplifier(S[j]))}};
+ fpour
+ fsi;
+
+Z:=sort(Z);
+nz:=size(Z);
+
+
+
+ tantque simplifier(Z[0])==simplifier(Z[1]) faire Z:=Z[1..nz-1];nz:=size(Z);
+ ftantque;
+
+nz:=size(Z);
+u:=1;
+ tantque (u&lt;nz-2) and (nz&gt;2) faire
+ tantque Z[u]==Z[u+1] faire
+ Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=size(Z);
+ ftantque;
+ u:=u+1;
+ ftantque;
+ };
+
+
+Z:=sort(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);
+";fpour;
+
+ lsi:="","";
+
+FFF:=[[],[]];
+
+for(d:=0;d&lt;=1;d++){
+FFF[d]:=concat(F[d],[-infinity,+infinity]);
+ k0:= evalf(limite(f[d](x),x=Z[0],1))&gt; evalf(limite(f[d](x),x=Z[1],-1));
+ kz:=evalf(limite(f[d](x),x=Z[nz-1],-1))&gt; evalf(limite(f[d](x),x=Z[nz-2],1));
+
+ lsi[d]:=lsic+nom[d]+"'("+nomv+")}<span class="font-latex-math">$ etex);"+if(member(Z[0],FFF[d])==0){"valBarre(btex $</span>"+latex(simplifier(fp[d](Z[0])))+"<span class="font-latex-math">$ 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^</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[d])==0){
+ if(sign(fp[d](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{
+ if(sign(fp[d]((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;"} }}
+
+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 $</span>"+latex(simplifier(fp[d](Z[r])))+"<span class="font-latex-math">$ etex);"}else{"nonDefBarre;"}+
+ if(ksp==1){"plus;"}else{"moins;"}
+ }; }
+
+lsf[d]:=if(member(Z[nz-1],FFF[d])==0){"valBarre(btex $</span>"+latex(simplifier(fp[d](Z[nz-1])))+"<span class="font-latex-math">$ etex);"}else{if(Z[nz-1]==+infinity){" "}else{"nonDefBarre;"}}
+
+
+
+
+ }
+
+
+
+
+
+
+
+
+
+
+
+ lm0:=1,2; li:=1,2; krm:=1,2; krp:=1,2; lmrm:=1,2; lmrp:=1,2; lp:="",""; lnz:=1,2; lf:=1,2; Kz:=1,2;K0:=1,2;
+
+
+for(d:=0;d&lt;=1;d++){
+ K0[d]:= evalf(limite(f[d](x),x=Z[0],1))&gt; evalf(limite(f[d](x),x=Z[1],-1));
+ Kz[d]:=evalf(limite(f[d](x),x,Z[nz-1],-1))&gt; evalf(limite(f[d](x),x,Z[nz-2],1));
+lm0[d]:=limite(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(simplifier(limite(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(simplifier(limite(f[d](x),x,Z[0],1)))}+"$</span> etex,"}+
+ if(K0[d]==1){"1"}else{"0"}+
+ ");";
+
+ if(nz&gt;2){ for(r:=1; r&lt;=nz-2;r++){ krm[d]:=evalf(limite(f[d](x),x=Z[r-1],1))&lt; evalf(limite(f[d](x),x=Z[r],-1));
+ krp[d]:=evalf(limite(f[d](x),x=Z[r],1))&gt; evalf(limite(f[d](x),x,Z[r+1],-1)) ;
+ lmrm[d]:=limite(f[d](x),x,Z[r],-1)==-infinity;lmrp[d]:=limite(f[d](x),x,Z[r],1)==-infinity;
+ lp[d]:=lp[d]+if(member(Z[r],F[d])){
+ "limGauche(btex
+ <span class="font-latex-math">$"+if(lmrm[d]==1){"-\\infty"}else{latex(simplifier(limite(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(simplifier(limite(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(simplifier(f[d](Z[r])))+"$</span>
+ etex,"+if(sign(evalf(fp[d](Z[r]-0.001)))==sign(evalf((fp[d](Z[r]+0.001))) )){"0.5);"}else{if(krp[d]==1){"1);"}else{"0);
+"}}}
+ }; }
+
+lnz[d]:=limite(f[d](x),x=Z[nz-1],-1)==-infinity;
+ lf[d]:=if(member(Z[nz-1],F[d])==0){"valPos(btex <span class="font-latex-math">$"+if(lnz[d]==1){"-\\infty"}else{latex(simplifier(limite(f[d](x),x,Z[nz-1],-1)))}+"$</span> etex,"}else{"nonDefBarre;limGauche(btex <span class="font-latex-math">$"+if(lnz[d]==1){"-\\infty"}else{latex(simplifier(limite(f[d](x),x,Z[nz-1],-1)))}+"$</span> etex,"}+
+ if(Kz[d]==1){"1);"}else{"0);
+"};
+
+
+}
+
+
+
+
+
+
+
+
+MetaLfc:=if(ftt==2){if(nz&gt;2){"
+
+beginTableau("+nmr+")"+
+ l0+lsi[0]+lsp[0]+lsf[0]+lsi[1]+lsp[1]+lsf[1]+"
+endTableau;
+
+";}else{
+intro+"beginTableau("+nmr+")"+
+ l0+
+lsi[0]+lsf[0]+lsi[1]+lsf[1]+"
+endTableau;
+
+";
+}
+}else{ if(ftt==0){if(nz&gt;2){"beginTableau("+nmr+")"+
+ l0+
+li[0]+
+lp[0]+
+lf[0]+
+li[1]+
+lp[1]+
+lf[1]
++"
+endTableau;
+
+";}else{"beginTableau("+nmr+")"+
+ l0+
+li[0]+
+lf[0]+
+li[1]+
+lf[1]
++"
+endTableau;
+
+";}}else{
+if(nz&gt;2){"beginTableau("+nmr+")"+
+ l0+
+lsi[0]+lsp[0]+lsf[0]+
+li[0]+
+lp[0]+
+lf[0]+
+lsi[1]+lsp[1]+lsf[1]+
+li[1]+
+lp[1]+
+lf[1]
++"
+endTableau;
+
+";}else{"beginTableau("+nmr+")"+
+ l0+
+lsi[0]+lsf[0]+
+li[0]+
+lf[0]+
+lsi[1]+lsf[1]+
+li[1]+
+lf[1]
++"
+endTableau;
+
+";}
+}
+}
+
+sortie:=fopen("XCasmpfc.mp");
+fprint(sortie,Unquoted,MetaLfc);
+fclose(sortie);
+
+}:;
+
+
+<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
+
+
<span class="comment-delimiter">%%</span><span class="comment">
@@ -1411,10 +1650,10 @@ fpour;
-Z:=sort(Z); // on classe les z&#233;ros dans l'ordre croissant
+Z:=sort(Z); // on classe les zeros dans l'ordre croissant
nz:=size(Z);
if(nz&gt;2){pour u de 1 jusque nz-2 faire
- si Z[u]==Z[u+1] alors Z:=Z[0..u-1],Z[u+1..nz-1];nz:=nz-1; // pour les z&#233;ros en double
+ si Z[u]==Z[u+1] alors Z:=Z[0..u-1],Z[u+1..nz-1];nz:=nz-1; // pour les zeros en double
fsi;
fpour;}
@@ -1710,10 +1949,10 @@ fclose(sortie);
<span class="font-latex-sedate"><span class="keyword">\newcommand</span></span><span class="function-name">{</span><span class="font-latex-sedate"><span class="function-name">\dresse</span></span><span class="function-name">}</span>[1]{<span class="comment">%
-</span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{xcas}}{<span class="comment">% Avec l'option "XCas pr&#233;sent"
+</span><span class="font-latex-sedate">\ifthenelse</span>{<span class="font-latex-sedate">\boolean</span>{xcas}}{<span class="comment">% Avec l'option "XCas present"
</span> <span class="font-latex-sedate">\executGiacmp</span>{XCas#1.giac}<span class="comment">% reconstituer le tableau
</span> <span class="comment">% exporter le source mp
-</span> <span class="comment">% puis lancer metapost pour cr&#233;er
+</span> <span class="comment">% puis lancer metapost pour creer
</span> <span class="comment">% l'image du tableau
</span> <span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> XCasmpfc.mp &gt;&gt; <span class="font-latex-sedate">\Tableaux</span>.Tab.mp}
<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> enteteMP.cfg &gt;&gt; <span class="font-latex-sedate">\Tableaux</span>.Tab#1.mp}
@@ -1730,14 +1969,14 @@ fclose(sortie);
XCas.}}}
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span>
- <span class="font-latex-sedate">\includegraphics</span>{<span class="font-latex-sedate">\Tableaux</span>.Tab.<span class="font-latex-sedate">\theTVn</span>}
+ <span class="font-latex-sedate"><span class="keyword">\includegraphics</span></span><span class="constant">{</span><span class="font-latex-sedate"><span class="constant">\Tableaux</span></span><span class="constant">.Tab.</span><span class="font-latex-sedate"><span class="constant">\theTVn</span></span><span class="constant">}</span>
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{center}</span>
<span class="font-latex-sedate">\stepcounter</span>{TVn}}
<span class="comment-delimiter">%%</span><span class="comment">
-</span><span class="comment-delimiter">%% </span><span class="comment">traitement des fichiers produits par giac/xcas avec possibilit&#233;
-</span><span class="comment-delimiter">%% </span><span class="comment">de modifier le fichier metapost (environnement &#233;toil&#233;))
+</span><span class="comment-delimiter">%% </span><span class="comment">traitement des fichiers produits par giac/xcas avec possibilite
+</span><span class="comment-delimiter">%% </span><span class="comment">de modifier le fichier metapost (environnement etoile))
</span><span class="comment-delimiter">%%</span><span class="comment">
</span>
@@ -1746,15 +1985,15 @@ fclose(sortie);
</span><span class="font-latex-sedate">\IfFileExists</span>{<span class="font-latex-sedate">\Tableaux</span>.Tab.<span class="font-latex-sedate">\theTVn</span>}{<span class="comment">% Test sur l'existence du tableau
</span><span class="comment-delimiter">% </span><span class="comment">Si oui, inclusion du fichier source de sauvegarde mp dans Tableaux
</span><span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> TSav-<span class="font-latex-sedate">\theTVn</span>.mp &gt;&gt; <span class="font-latex-sedate">\Tableaux</span>.Tab.mp}}
-<span class="comment-delimiter">% </span><span class="comment">Si non, lancement des op&#233;rations de fabrication
+<span class="comment-delimiter">% </span><span class="comment">Si non, lancement des operations de fabrication
</span>{<span class="font-latex-sedate">\executGiacmp</span>{XCas#1.giac}<span class="comment">%
</span><span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\editeur</span> XCasmpfc.mp }
- <span class="comment">% Modification avec l'&#233;diteur choisi
+ <span class="comment">% Modification avec l'editeur choisi
</span><span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> XCasmpfc.mp &gt;&gt; <span class="font-latex-sedate">\Tableaux</span>.Tab.mp}
<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cp</span> XCasmpfc.mp TSav-<span class="font-latex-sedate">\theTVn</span>.mp} <span class="comment">% Sauvegarde du
</span> <span class="comment">% source mp sur le disque pour une
-</span> <span class="comment">% inclusion ult&#233;rieure dans Tableaux.mp.
+</span> <span class="comment">% inclusion ulterieure dans Tableaux.mp.
</span><span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> enteteMP.cfg &gt;&gt; <span class="font-latex-sedate">\Tableaux</span>.Tab#1.mp}
<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> XCasmpfc.mp &gt;&gt; <span class="font-latex-sedate">\Tableaux</span>.Tab#1.mp}} <span class="comment">% Inclusion du
</span> <span class="comment">% source dans le
@@ -1762,13 +2001,13 @@ fclose(sortie);
</span> <span class="comment">% Tableaux
</span><span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\cat</span> queue.mp &gt;&gt; <span class="font-latex-sedate">\Tableaux</span>.Tab#1.mp}
<span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{mpost -jobname=<span class="font-latex-sedate">\Tableaux</span>.Tab <span class="font-latex-sedate">\Tableaux</span>.Tab#1.mp}<span class="comment">% Reconstitution des tableaux
-</span> <span class="comment">% et cr&#233;ation du dernier. L'option
+</span> <span class="comment">% et creation du dernier. L'option
</span> <span class="comment">% pallie l'absence de end en fin de
</span> <span class="comment">% fichier
</span><span class="font-latex-sedate">\immediate</span><span class="font-latex-sedate">\write</span>18{<span class="font-latex-sedate">\rem</span> <span class="font-latex-sedate">\Tableaux</span>.Tab#1.mp}
<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{center}</span>
- <span class="font-latex-sedate">\includegraphics</span>{<span class="font-latex-sedate">\Tableaux</span>.Tab.<span class="font-latex-sedate">\theTVn</span>}
+ <span class="font-latex-sedate"><span class="keyword">\includegraphics</span></span><span class="constant">{</span><span class="font-latex-sedate"><span class="constant">\Tableaux</span></span><span class="constant">.Tab.</span><span class="font-latex-sedate"><span class="constant">\theTVn</span></span><span class="constant">}</span>
<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{center}</span>
<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVnbis</span></span><span class="variable-name">}</span> <span class="comment">% Restauration du compteur TVn
@@ -1784,9 +2023,9 @@ fclose(sortie);
</span><span class="comment-delimiter">%%</span><span class="comment">
</span><span class="comment-delimiter">%%%</span><span class="comment">
</span><span class="comment-delimiter">%%%</span><span class="comment">
-</span><span class="comment-delimiter">%%% </span><span class="comment">les "giac" qui permettent d'ex&#233;cuter la commande rentr&#233;e dans le fichier tex
+</span><span class="comment-delimiter">%%% </span><span class="comment">les "giac" qui permettent d'executer la commande rentree dans le fichier tex
</span><span class="comment-delimiter">%%% </span><span class="comment">suivis des environnements qui permettront la saisie du code giac/xcas
-</span><span class="comment-delimiter">%%% </span><span class="comment">Les versions &#233;toil&#233;es permettent de modifier le code metapost produit initialement
+</span><span class="comment-delimiter">%%% </span><span class="comment">Les versions etoilees permettent de modifier le code metapost produit initialement
</span><span class="comment-delimiter">%%%</span><span class="comment">
</span>
@@ -1898,6 +2137,29 @@ read("XCasTV.user");
+<span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>{XCasTVP.giac}
+maple_mode(0);
+read("config.cxx");
+read("XcasTVP.cxx");
+read("XCasTVP.user");
+<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
+
+<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVP}</span><span class="comment">%
+</span>{<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVP.user}}<span class="comment">%
+</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span>
+<span class="font-latex-sedate">\dresse</span>{TVP}}
+
+<span class="font-latex-sedate"><span class="keyword">\newenvironment</span></span><span class="function-name">{TVP*}</span>[1]{<span class="comment">%
+</span><span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVnbis}{</span><span class="font-latex-sedate"><span class="variable-name">\theTVn</span></span><span class="variable-name">}</span>
+<span class="font-latex-sedate"><span class="keyword">\setcounter</span></span><span class="variable-name">{TVn}{#1}</span>
+<span class="font-latex-sedate">\VerbatimEnvironment</span><span class="font-latex-sedate"><span class="keyword">\begin</span></span><span class="function-name">{VerbatimOut}</span>[commandchars=<span class="font-latex-warning">\\</span>??]{XCasTVP.user}}<span class="comment">%
+</span>{<span class="font-latex-sedate"><span class="keyword">\end</span></span><span class="function-name">{VerbatimOut}</span><span class="font-latex-sedate">\dressetoile</span>{TVP}}
+
+
+
+
+
+
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.pdf b/Master/texmf-dist/doc/latex/tablor/tablor.pdf
index c3a16b8fd93..db5ac600269 100644
--- a/Master/texmf-dist/doc/latex/tablor/tablor.pdf
+++ b/Master/texmf-dist/doc/latex/tablor/tablor.pdf
Binary files differ
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.tex b/Master/texmf-dist/doc/latex/tablor/tablor.tex
index 8fda3463dfc..dcc593424ab 100644
--- a/Master/texmf-dist/doc/latex/tablor/tablor.tex
+++ b/Master/texmf-dist/doc/latex/tablor/tablor.tex
@@ -1,11 +1,12 @@
\documentclass[12pt]{article}
\usepackage[height=250mm,width=183mm]{geometry}
+\usepackage[latin1]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[french]{babel}
\usepackage[upright]{fourier}
-\usepackage{tablor}
+\usepackage[xcas]{tablor}
\usepackage{listings,keystroke}
-\usepackage{graphicx,bclogo}
+\usepackage{graphicx,bclogo,amssymb,amsbsy,amsfonts,amstext,amscd,amsopn,amsxtra}
% bclogo est téléchargeable ici : http://melusine.eu.org/syracuse/wiki/doku.php/mc/bclogo
@@ -97,7 +98,7 @@ 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{22 mai 2008 - Version 2.08}
+\date{14 juin 2008 - Version 3.00}
@@ -843,6 +844,93 @@ TVapp([0,+infinity],[0],"g","x",ln(x)-x*exp(2-x),1,\tv)
\end{TVapp}
+
+
+
+\subsection{Tableaux de variations et courbes paramétrées}
+
+On peut obtenir le tableau de variations correspondant à des courbes paramétrées définies par un
+système du type~:
+
+\[\begin{cases} x=f(t) \\
+ y=g(t)
+\end{cases}\]
+
+La syntaxe est la suivante~:
+
+\begin{lstlisting}
+ \begin{TVP}
+TVP(IE,VI,["x","y"],"t",[x(t),y(t)],a,trigo,\tv)
+ \end{TVP}
+\end{lstlisting}
+
+
+avec \texttt{IE} l'intervalle d'étude, \texttt{VI} la liste des listes de valeurs interdites
+respectives pour les deux fonctions, \texttt{a} pour avoir un tableau complet ou partiel comme dans
+les autres "TV", enfin \texttt{trigo} qui vaut 1 si interviennent des fonctions trigonométrqiues, 0
+sinon.
+
+
+\begin{figure}[h]
+ \begin{DANGER}{Version de XCAS}
+ L'utilisation de TVP implique l'utilisation d'une version de XCAS d'une date postérieure au 14 juin
+ 2008 !
+ \end{DANGER}
+ \end{figure}
+
+
+\subsubsection{Cas des fonctions trigonométriques}
+
+Étudions par exemple sur $\left[0\ ;\ \frac{\pi}{2}\right]$
+
+
+\[
+\begin{cases} x(t)=\cos(3t) \\
+ y(t)=\sin(4t)
+\end{cases}\]
+
+\begin{lstlisting}
+
+ \begin{TVP}
+ TVP([0,pi/2],[[],[]],["x","y"],"t",[cos(3*t),sin(4*t)],1,1,\tv)
+ \end{TVP}
+
+\end{lstlisting}
+
+ \begin{TVP}
+ TVP([0,pi/2],[[],[]],["x","y"],"t",[cos(3*t),sin(4*t)],1,1,\tv)
+ \end{TVP}
+
+
+
+\subsubsection{Les autres cas}
+
+
+
+Étudions par exemple sur $]-\infty\ ;\ +\infty[$
+
+
+\[
+\begin{cases}
+x(t)=\frac{t^2}{(t+1)(t-2)} \\
+y(t)=\frac{t^2(t+2)}{t+1}
+\end{cases}
+\]
+
+\begin{lstlisting}
+\begin{TVP}
+TVP([-infinity,+infinity],[[-1,2],[-1]],["x","y"],"t",[t^2/((t+1)*(t-2)),t^2*(t+2)/(t+1)],1,0,\tv)
+\end{TVP}
+\end{lstlisting}
+
+
+
+\begin{TVP}
+TVP([-infinity,+infinity],[[-1,2],[-1]],["x","y"],"t",[t^2/((t+1)*(t-2)),t^2*(t+2)/(t+1)],1,0,\tv)
+\end{TVP}
+
+
+
\subsection{Tableaux de signes}
@@ -1085,6 +1173,94 @@ sur mon site en joignant le fichier \texttt{log}.
+\section{\texttt{Tablor} et Emacs}
+
+Pour les heureux utilisateurs de tempo, voici quelques lignes pour faciliter votre vie à rajouter
+dans un fichier \texttt{latex-tempo}:
+
+\begin{lstlisting}
+;;
+;; TABLOR
+;;;
+;cas tableau de variation
+ ("TV" (& > "\\begin{center}"n>
+ "\\begin{TV}" n>
+"TV(["(p "debut de l'intervalle:")","(p "fin de l'intervalle:")"],"
+ "["(p "liste de valeurs interdites (,) :")"],"
+ "\""(p "nom de la fonction :")"\","
+ "\""(p "nom de la variable :")"\","
+ ""(p "expression de la fonction (utiliser x) :")","
+""(p "type de tableau (1:complet, 0:sans signe, 2:que le signe) :")","
+ "\\tv)" n>
+ "\\end{TV}" n>
+ "\\end{center}" > % ))
+ ;cas TVI
+ ("TVI" (& > "\\begin{center}"n>
+ "\\begin{TVI}" n>
+"TVI(["(p "debut de l'intervalle:")","(p "fin de l'intervalle:")"],"
+ "["(p "liste de valeurs interdites (,) :")"],"
+ "\""(p "nom de la fonction :")"\","
+ "\""(p "nom de la variable :")"\","
+ ""(p "expression de la fonction (utiliser x) :")","
+""(p "type de tableau (1:complet, 0:sans signe, 2:que le signe) :")","
+ ""(p "f(x)=l pour la valeur l :")","
+ "\\tv)" n>
+ "\\end{TVI}" n>
+ "\\end{center}" > % ))
+ ;cas signe produit
+ ("TS" (& > "\\begin{center}"n>
+ "\\begin{TS}" n>
+ "TS(\""(p "nom du produit :")"\","
+ "["(p "liste des facteurs (,) :")"],"
+ "["(p "debut de l'intervalle:")","(p "fin de l'intervalle:")"],"
+ "\\tv)" n>
+ "\\end{TS}" n>
+ "\\end{center}" > % ))
+ ;cas signe quotient
+ ("TSq" (& > "\\begin{center}"n>
+ "\\begin{TSq}" n>
+ "TSq(\""(p "nom du quotient :")"\","
+ "["(p "liste des facteurs du numerateur (,) :")"],"
+ "["(p "liste des facteurs du denominateur (,) :")"],"
+ "["(p "debut de l'intervalle:")","(p "fin de l'intervalle:")"],"
+ "\\tv)" n>
+ "\\end{TSq}" n>
+ "\\end{center}" > % ))
+;cas TVP
+ ("TVP" (& > "\\begin{center}"n>
+ "\\begin{TVI}" n>
+"TVP(["(p "debut de l'intervalle:")","(p "fin de l'intervalle:")"],"
+ "[["(p "liste de valeurs interdites de x(t)(,) :")"],"
+ "["(p "liste de valeurs interdites de y(t)(,) :")"]],"
+ "[\""(p "nom de la fonction x :")"\","
+ "\""(p "nom de la fonction y :")"\"],"
+ "\""(p "nom de la variable :")"\","
+ "["(p "expression de la fonction x (utiliser t) :")","
+ ""(p "expression de la fonction y (utiliser t) :")"],"
+""(p "type de tableau (1:complet, 0:sans signe, 2:que le signe) :")","
+ ""(p "1 si fonctions trigo, 0 sinon :")","
+ "\\tv)" n>
+ "\\end{TVP}" n>
+ "\\end{center}" > % ))
+
+ ;cas tableau de variation avec zone interdite
+ ("TVZ" (& > "\\begin{center}"n>
+ "\\begin{TV}" n>
+"TVZ(["(p "debut de l'intervalle:")","(p "fin de l'intervalle:")"],"
+ "["(p "liste de valeurs interdites (,) :")"],"
+ "["(p "liste des zones interdites ([,],[,]) :")"],"
+ "\""(p "nom de la fonction :")"\","
+ "\""(p "nom de la variable :")"\","
+ ""(p "expression de la fonction (utiliser x) :")","
+""(p "type de tableau (1:complet, 0:sans signe, 2:que le signe) :")","
+ "\\tv)" n>
+ "\\end{TV}" n>
+ "\\end{center}" > % ))
+\end{lstlisting}
+
+Merci à \href{http://phil.pham.free.fr/}{Phil Pham}.
+
+
\section{Galerie}
Voici quelques exemples de tableaux~:
@@ -1309,6 +1485,31 @@ TSc((x-10)*(x+10),[-10,10],\tv)
+ \begin{lstlisting}
+\begin{TVP}
+TVP([0,pi/2],[[],[]],["x","y"],"t",[cos(3*t),sin(4*t)],1,1,\tv)
+\end{TVP}
+ \end{lstlisting}
+
+
+
+\begin{TVP}
+TVP([0,pi/2],[[],[]],["x","y"],"t",[cos(3*t),sin(4*t)],1,1,\tv)
+\end{TVP}
+
+
+\begin{lstlisting}
+\begin{TVP}
+TVP([0,2*pi],[[],[]],["x","y"],"t",[t-2*sin(t),-1+2*cos(t)],1,1,\tv)
+\end{TVP}
+\end{lstlisting}
+
+
+\begin{TVP}
+TVP([0,2*pi],[[],[]],["x","y"],"t",[t-2*sin(t),-1+2*cos(t)],1,1,\tv)
+\end{TVP}
+
+
\begin{lstlisting}
\begin{TVZ}
TVZ([-infinity,+infinity],[-1,1,4,6],[[-1,1],[4,6]],"f","x",ln((x-5)^2-1)+ln(x^2-1),1,\tv)
diff --git a/Master/texmf-dist/tex/latex/tablor/tablor.sty b/Master/texmf-dist/tex/latex/tablor/tablor.sty
index 52f9174effe..ebcb6445802 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}[02/06/2008 v2.08 la machine a creer des tableaux de signes et variations]
+\ProvidesPackage{tablor}[12/06/2008 v3.00 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
@@ -10,7 +10,7 @@
% tablor.pdf and tablor.html
-%% Crée 16 environnements :
+%% Cree 16 environnements :
%% tableau de signes de 2 facteurs affines
% \begin{TSa}
% TSa(-2,3,-1,5,\tv);
@@ -38,36 +38,44 @@
% \end{TVZ}
%
%
-% tableau avec valeurs intermédiares
+% tableau avec valeurs intermediares
%\begin{TVI}
%TVI([-1,+infinity],[-1],"f","x",x2/sqrt(x+1)-1,1,2,\tv)
%\end{TVI}
%%%
-% tableau de variations avec f' sans zéro formel
+% tableau de variations avec f' sans zero formel
%\begin{TVapp}
% TVapp([0,+infinity],[0],"g","x",ln(x)-x*exp(2-x),1,\tv)
% \end{TVapp}
%
%
-% tableau de variations avec f' sans zéro formel
+% tableau de variations avec f' sans zero formel
%\begin{TVIapp}
% TVIapp([0,+infinity],[0],"g","x",ln(x)-x*exp(2-x),1,0,\tv)
% \end{TVIapp}
%
%
%%%
-% et leurs pendants étoilés qui permettent l'affichage intermédiaire du
+% et leurs pendants etoiles qui permettent l'affichage intermediaire du
% fichier metapost pour le modifier
%
%
+% Courbes parametrees
+% \begin{TVP}
+% TVP([-infinity,+infinity],[[-1,2],[-1]],["x","y"],"t",[t^2/((t+1)*(t-2)),t^2*(t+2)/(t+1)],1,0,\tv)
+% \end{TVP}
%
%
+% \begin{TVP}
+% TVP([0,pi/2],[[],[]],["x","y"],"t",[2*cos(t),sin(2*t)],1,1,\tv)
+% \end{TVP}
+% %
%% extensions requises
-%% Il faudra rajouter dans le préambule \usepackage{graphicx} si vous
+%% Il faudra rajouter dans le preambule \usepackage{graphicx} si vous
%% ne l'avez pas de base
@@ -76,8 +84,9 @@
\RequirePackage{fancyvrb}
\RequirePackage{ifpdf}
+\fvset{gobble=0}
-% option xcas présent
+% option xcas present
\newboolean{xcas}\setboolean{xcas}{false}
@@ -93,13 +102,13 @@
\newboolean{windows}\setboolean{windows}{false}
-%% on configure tablor dans un fichier extérieur pour la plateforme
-%% l'éditeur et le préambule metapost
+%% on configure tablor dans un fichier exterieur pour la plateforme
+%% et l'editeur
\IfFileExists{tablor.cfg}{\input{tablor.cfg}}%\typeout{pas de fichier tablor.cfg}}
-%% Définit des commandes disque selon l'OS utilisé
+%% Definit des commandes disque selon l'OS utilise
\ifthenelse{\boolean{windows}}%
{\newcommand{\rem}{DEL } \newcommand{\cat}{TYPE }
\newcommand{\cp}{COPY }}%
@@ -120,7 +129,7 @@
%% pour nettoyer les fichiers auxiliaires
-\AtEndDocument{\immediate\write18{\rem *.user XCas* Xcas* *.mpx}
+\AtEndDocument{\immediate\write18{\rem *.user XCas* Xcas* *.mpx}
}
@@ -129,17 +138,17 @@
%% Pour clore les fichiers metapost
-\begin{VerbatimOut}{queue.mp}
+ \begin{VerbatimOut}{queue.mp}
-end
+ end
\end{VerbatimOut}
-%% Nettoie les fichiers log dont le nom dépend du choix de l'utilisateur
-%% Par défaut, c'est le nom du fichier tex courant (\jobname)
-%% Clôt le fichier metapost contenant le récapitulatif de tous les tableaux
+%% Nettoie les fichiers log dont le nom depend du choix de l'utilisateur
+%% Par defaut, c'est le nom du fichier tex courant (\jobname)
+%% Clôt le fichier metapost contenant le recapitulatif de tous les tableaux
@@ -151,7 +160,7 @@ end
%% Donne comme prefixe aux tableaux le prefixe courant
-%% Peut-être modifié par \initablor
+%% Peut-être modifie par \initablor
\newcommand{\Tableaux}{\jobname}
@@ -165,25 +174,25 @@ end
-%% permet de donner un prefixe aux tableaux produits (\jobname par défaut)
-%% effectue quelques vérifications :
+%% permet de donner un prefixe aux tableaux produits (\jobname par defaut)
+%% effectue quelques verifications :
\newcommand{\initablor}[1][\jobname]{%
\renewcommand{\Tableaux}{#1}% Arret du nom des tableaux
\setcounter{TVn}{0}% Initialisation du compteur de tableaux.
\ifthenelse{\boolean{xcas}}% Avec l'option XCas
-{\IfFileExists{\Tableaux.Tab.mp}% Si Tableaux.mp est présent...
- {\immediate\write18{\rem \Tableaux.Tab.mp}}% le détruire
+{\IfFileExists{\Tableaux.Tab.mp}% Si Tableaux.mp est present...
+ {\immediate\write18{\rem \Tableaux.Tab.mp}}% le detruire
{}%
\immediate\write18{\cp enteteMP.cfg \Tableaux.Tab.mp}% Reconstituer l'entête de Tableaux.mp
}
{\IfFileExists{\Tableaux.Tab.mp}% Sans l'option XCas, si
% Tableaux.mp existe
-{\immediate\write18{mpost -interaction=batchmode \Tableaux.Tab}}% l'exécuter pour reconstituer les figures
+{\immediate\write18{mpost -interaction=batchmode \Tableaux.Tab}}% l'executer pour reconstituer les figures
{\PackageWarning{tablor}{Pas de source metapost pour creer les tableaux.}}% sinon message d'erreur
% (mais pas d'arret car les tableaux
- % peuvent être présents )
+ % peuvent être presents )
}}%
@@ -727,7 +736,7 @@ fclose(sortie);
%%
%% Code giac/Xcas pour les Tableaux de Variations avec
-%% Valeurs intermédiaires
+%% Valeurs intermediaires
%%
@@ -1166,9 +1175,239 @@ fclose(sortie);
+%%
+%% Code giac/Xcas pour les Tableaux de variations de courbes parametrees
+%%
+
+
+
+
+
+
+
+\begin{VerbatimOut}{XcasTVP.cxx}
+
+
+TVP(L,F,nom,nomv,ff,ftt,trigo,nmr):={
+//local Z,LLL,FFF,nl,fp,f,S,d,t,ns,k,m,x,j,kk,nz,u,l0;
+nl:=size(L);
+fp:=[];
+S:=[];
+f:=ff;
+Z:=[];
+LLL:=[];
+for(d:=0;d<=1;d++){
+f:=subst(f,f[d]=unapply(f[d],t));
+fp:=append(fp,fonction_derivee(f[d]));
+LLL:=concat(L,F[d]);
+Z:=LLL union Z;
+
+ns:=size(resoudre(factor(simplifier(fp[d](t))),t));
+reset_solve_counter(0);
+for(k:=0;k<ns;k++){
+if(trigo==1){
+all_trig_solutions:=1;
+reset_solve_counter(-1,-1);m:=0;
+while(simplifier(subst(resoudre(factor(simplifier(fp[d](t))),t)[k],n_1=m))<=evalf(L[nl-1])){
+reset_solve_counter(-1,-1);
+S:=concat(S,simplifier(subst(resoudre(factor(simplifier(fp[d](t))),t)[k],n_1=m)));m:=m+1;
+reset_solve_counter(-1,-1);
+};m:=-1;
+while(evalf(subst(resoudre(factor(simplifier(fp[d](t))),t)[k],n_1=m))>=L[0]){
+reset_solve_counter(-1,-1);
+S:=concat(S,simplifier(subst(resoudre(factor(simplifier(fp[d](t))),t)[k],n_1=m)));m:=m-1;
+reset_solve_counter(-1,-1);
+}
+}else{
+S:=concat(S,resoudre(factor(simplifier(fp[d](x))),x));
+}
+}
+ si size(S)>0 alors pour j de 0 jusque size(S)-1 faire
+ qq:=member(simplifier(S[j]),Z)==0;
+ kk:=(evalf(S[j])>=evalf(L[0])) and (evalf(S[j])<=evalf(L[nl-1]));
+ if(kk==1){if(qq==1){Z:=append(Z,simplifier(S[j]))}};
+ fpour
+ fsi;
+
+Z:=sort(Z);
+nz:=size(Z);
+
+
+
+ tantque simplifier(Z[0])==simplifier(Z[1]) faire Z:=Z[1..nz-1];nz:=size(Z);
+ ftantque;
+
+nz:=size(Z);
+u:=1;
+ tantque (u<nz-2) and (nz>2) faire
+ tantque Z[u]==Z[u+1] faire
+ Z:=augment(Z[0..u-1],Z[u+1..nz-1]);nz:=size(Z);
+ ftantque;
+ u:=u+1;
+ ftantque;
+ };
+
+
+Z:=sort(Z);
+nz:=size(Z);
+
+ l0:=" newLigneVariables(btex $"+nomv+"$ etex);";lp:="",""; lf:="","";lsp:="","";
+pour m de 0 jusque nz-1 faire l0:=l0+"val(btex $"+latex(Z[m])+"$ etex);
+";fpour;
+
+ lsi:="","";
+
+FFF:=[[],[]];
+
+for(d:=0;d<=1;d++){
+FFF[d]:=concat(F[d],[-infinity,+infinity]);
+ k0:= evalf(limite(f[d](x),x=Z[0],1))> evalf(limite(f[d](x),x=Z[1],-1));
+ kz:=evalf(limite(f[d](x),x=Z[nz-1],-1))> evalf(limite(f[d](x),x=Z[nz-2],1));
+
+ lsi[d]:=lsic+nom[d]+"'("+nomv+")}$ etex);"+if(member(Z[0],FFF[d])==0){"valBarre(btex $"+latex(simplifier(fp[d](Z[0])))+"$ etex);"}else{if(Z[0]==-infinity){" "}else{"nonDefBarre;
+"}}+
+ if(Z[0]==-infinity){if(sign(evalf(fp[d](if(Z[1]==+infinity){0}else{Z[1]-10^(-5)})))==1){"plus;"}else{"moins;"}}else{if(member(Z[0],F[d])==0){
+ if(sign(fp[d](Z[0]+10^(-5)))==1){"plus;"}else{"moins;"}}else{
+ if(sign(fp[d]((Z[0]+10^(-5))))==1){"plus;"}else{"moins;"} }}
+
+if(nz>2){ for(r:=1; r<=nz-2;r++){ ksp:=evalf(fp[d](Z[r]+0.01))>0;
+ lsp[d]:=lsp[d]+if(member(Z[r],F[d])==0){"valBarre(btex $"+latex(simplifier(fp[d](Z[r])))+"$ etex);"}else{"nonDefBarre;"}+
+ if(ksp==1){"plus;"}else{"moins;"}
+ }; }
+
+lsf[d]:=if(member(Z[nz-1],FFF[d])==0){"valBarre(btex $"+latex(simplifier(fp[d](Z[nz-1])))+"$ etex);"}else{if(Z[nz-1]==+infinity){" "}else{"nonDefBarre;"}}
+
+
+
+
+ }
+
+
+
+
+
+
+
+
+
+
+
+ lm0:=1,2; li:=1,2; krm:=1,2; krp:=1,2; lmrm:=1,2; lmrp:=1,2; lp:="",""; lnz:=1,2; lf:=1,2; Kz:=1,2;K0:=1,2;
+
+
+for(d:=0;d<=1;d++){
+ K0[d]:= evalf(limite(f[d](x),x=Z[0],1))> evalf(limite(f[d](x),x=Z[1],-1));
+ Kz[d]:=evalf(limite(f[d](x),x,Z[nz-1],-1))> evalf(limite(f[d](x),x,Z[nz-2],1));
+lm0[d]:=limite(f[d](x),x,Z[0],1)==-infinity;
+ li[d]:=lvic+nom[d]+"}$ etex);"+
+ if(member(Z[0],F[d])==0){"valPos(btex $"+if(lm0[d]==1){"-\\infty"}else{latex(simplifier(limite(f[d](x),x,Z[0],1)))}+"$ etex,"}
+ else{"nonDefBarre;limDroite(btex $"+if(lm0[d]==1){"-\\infty"}else{latex(simplifier(limite(f[d](x),x,Z[0],1)))}+"$ etex,"}+
+ if(K0[d]==1){"1"}else{"0"}+
+ ");";
+
+ if(nz>2){ for(r:=1; r<=nz-2;r++){ krm[d]:=evalf(limite(f[d](x),x=Z[r-1],1))< evalf(limite(f[d](x),x=Z[r],-1));
+ krp[d]:=evalf(limite(f[d](x),x=Z[r],1))> evalf(limite(f[d](x),x,Z[r+1],-1)) ;
+ lmrm[d]:=limite(f[d](x),x,Z[r],-1)==-infinity;lmrp[d]:=limite(f[d](x),x,Z[r],1)==-infinity;
+ lp[d]:=lp[d]+if(member(Z[r],F[d])){
+ "limGauche(btex
+ $"+if(lmrm[d]==1){"-\\infty"}else{latex(simplifier(limite(f[d](x),x,Z[r],-1)))}+"$
+ etex,"+if(krm[d]==1){"1);"}else{"0);"}+"nonDefBarre;limDroite(btex $"+if(lmrp[d]==1){"-\\infty"}else{latex(simplifier(limite(f[d](x),x,Z[r],1)))}+"$ etex,"+if(krp[d]==1){"1);"}else{"0);"}}
+ else{"valPos(btex $"+latex(simplifier(f[d](Z[r])))+"$
+ etex,"+if(sign(evalf(fp[d](Z[r]-0.001)))==sign(evalf((fp[d](Z[r]+0.001))) )){"0.5);"}else{if(krp[d]==1){"1);"}else{"0);
+"}}}
+ }; }
+
+lnz[d]:=limite(f[d](x),x=Z[nz-1],-1)==-infinity;
+ lf[d]:=if(member(Z[nz-1],F[d])==0){"valPos(btex $"+if(lnz[d]==1){"-\\infty"}else{latex(simplifier(limite(f[d](x),x,Z[nz-1],-1)))}+"$ etex,"}else{"nonDefBarre;limGauche(btex $"+if(lnz[d]==1){"-\\infty"}else{latex(simplifier(limite(f[d](x),x,Z[nz-1],-1)))}+"$ etex,"}+
+ if(Kz[d]==1){"1);"}else{"0);
+"};
+
+
+}
+
+
+
+
+
+
+
+
+MetaLfc:=if(ftt==2){if(nz>2){"
+
+beginTableau("+nmr+")"+
+ l0+lsi[0]+lsp[0]+lsf[0]+lsi[1]+lsp[1]+lsf[1]+"
+endTableau;
+
+";}else{
+intro+"beginTableau("+nmr+")"+
+ l0+
+lsi[0]+lsf[0]+lsi[1]+lsf[1]+"
+endTableau;
+
+";
+}
+}else{ if(ftt==0){if(nz>2){"beginTableau("+nmr+")"+
+ l0+
+li[0]+
+lp[0]+
+lf[0]+
+li[1]+
+lp[1]+
+lf[1]
++"
+endTableau;
+
+";}else{"beginTableau("+nmr+")"+
+ l0+
+li[0]+
+lf[0]+
+li[1]+
+lf[1]
++"
+endTableau;
+
+";}}else{
+if(nz>2){"beginTableau("+nmr+")"+
+ l0+
+lsi[0]+lsp[0]+lsf[0]+
+li[0]+
+lp[0]+
+lf[0]+
+lsi[1]+lsp[1]+lsf[1]+
+li[1]+
+lp[1]+
+lf[1]
++"
+endTableau;
+
+";}else{"beginTableau("+nmr+")"+
+ l0+
+lsi[0]+lsf[0]+
+li[0]+
+lf[0]+
+lsi[1]+lsf[1]+
+li[1]+
+lf[1]
++"
+endTableau;
+
+";}
+}
+}
+
+sortie:=fopen("XCasmpfc.mp");
+fprint(sortie,Unquoted,MetaLfc);
+fclose(sortie);
+
+}:;
+
+
+\end{VerbatimOut}
+
+
%%
@@ -1329,10 +1568,10 @@ fpour;
-Z:=sort(Z); // on classe les zéros dans l'ordre croissant
+Z:=sort(Z); // on classe les zeros dans l'ordre croissant
nz:=size(Z);
if(nz>2){pour u de 1 jusque nz-2 faire
- si Z[u]==Z[u+1] alors Z:=Z[0..u-1],Z[u+1..nz-1];nz:=nz-1; // pour les zéros en double
+ si Z[u]==Z[u+1] alors Z:=Z[0..u-1],Z[u+1..nz-1];nz:=nz-1; // pour les zeros en double
fsi;
fpour;}
@@ -1628,10 +1867,10 @@ fclose(sortie);
\newcommand{\dresse}[1]{%
-\ifthenelse{\boolean{xcas}}{% Avec l'option "XCas présent"
+\ifthenelse{\boolean{xcas}}{% Avec l'option "XCas present"
\executGiacmp{XCas#1.giac}% reconstituer le tableau
% exporter le source mp
- % puis lancer metapost pour créer
+ % puis lancer metapost pour creer
% l'image du tableau
\immediate\write18{\cat XCasmpfc.mp >> \Tableaux.Tab.mp}
\immediate\write18{\cat enteteMP.cfg >> \Tableaux.Tab#1.mp}
@@ -1654,8 +1893,8 @@ fclose(sortie);
%%
-%% traitement des fichiers produits par giac/xcas avec possibilité
-%% de modifier le fichier metapost (environnement étoilé))
+%% traitement des fichiers produits par giac/xcas avec possibilite
+%% de modifier le fichier metapost (environnement etoile))
%%
@@ -1664,15 +1903,15 @@ fclose(sortie);
\IfFileExists{\Tableaux.Tab.\theTVn}{% Test sur l'existence du tableau
% Si oui, inclusion du fichier source de sauvegarde mp dans Tableaux
\immediate\write18{\cat TSav-\theTVn.mp >> \Tableaux.Tab.mp}}
-% Si non, lancement des opérations de fabrication
+% Si non, lancement des operations de fabrication
{\executGiacmp{XCas#1.giac}%
\immediate\write18{\editeur XCasmpfc.mp }
- % Modification avec l'éditeur choisi
+ % Modification avec l'editeur choisi
\immediate\write18{\cat XCasmpfc.mp >> \Tableaux.Tab.mp}
\immediate\write18{\cp XCasmpfc.mp TSav-\theTVn.mp} % Sauvegarde du
% source mp sur le disque pour une
- % inclusion ultérieure dans Tableaux.mp.
+ % inclusion ulterieure dans Tableaux.mp.
\immediate\write18{\cat enteteMP.cfg >> \Tableaux.Tab#1.mp}
\immediate\write18{\cat XCasmpfc.mp >> \Tableaux.Tab#1.mp}} % Inclusion du
% source dans le
@@ -1680,7 +1919,7 @@ fclose(sortie);
% Tableaux
\immediate\write18{\cat queue.mp >> \Tableaux.Tab#1.mp}
\immediate\write18{mpost -jobname=\Tableaux.Tab \Tableaux.Tab#1.mp}% Reconstitution des tableaux
- % et création du dernier. L'option
+ % et creation du dernier. L'option
% pallie l'absence de end en fin de
% fichier
\immediate\write18{\rem \Tableaux.Tab#1.mp}
@@ -1702,9 +1941,9 @@ fclose(sortie);
%%
%%%
%%%
-%%% les "giac" qui permettent d'exécuter la commande rentrée dans le fichier tex
+%%% les "giac" qui permettent d'executer la commande rentree dans le fichier tex
%%% suivis des environnements qui permettront la saisie du code giac/xcas
-%%% Les versions étoilées permettent de modifier le code metapost produit initialement
+%%% Les versions etoilees permettent de modifier le code metapost produit initialement
%%%
@@ -1816,6 +2055,29 @@ read("XCasTV.user");
+\begin{VerbatimOut}{XCasTVP.giac}
+maple_mode(0);
+read("config.cxx");
+read("XcasTVP.cxx");
+read("XCasTVP.user");
+\end{VerbatimOut}
+
+\newenvironment{TVP}%
+{\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\??]{XCasTVP.user}}%
+{\end{VerbatimOut}
+\dresse{TVP}}
+
+\newenvironment{TVP*}[1]{%
+\setcounter{TVnbis}{\theTVn}
+\setcounter{TVn}{#1}
+\VerbatimEnvironment\begin{VerbatimOut}[commandchars=\\??]{XCasTVP.user}}%
+{\end{VerbatimOut}\dressetoile{TVP}}
+
+
+
+
+
+