From c8f6037d99411606a58309f74fba8a93da0167af Mon Sep 17 00:00:00 2001 From: Karl Berry Date: Sun, 15 Jun 2008 23:49:31 +0000 Subject: tablor update (15jun08) git-svn-id: svn://tug.org/texlive/trunk@8763 c570f23f-e606-0410-a88d-b1316a301751 --- .../doc/latex/tablor/Figures/tablor.Tab.0 | 2 +- .../doc/latex/tablor/Figures/tablor.Tab.1 | 2 +- .../doc/latex/tablor/Figures/tablor.Tab.10 | 534 +++++++++++----- .../doc/latex/tablor/Figures/tablor.Tab.105 | 2 +- .../doc/latex/tablor/Figures/tablor.Tab.11 | 672 +++++++++++---------- .../doc/latex/tablor/Figures/tablor.Tab.12 | 241 ++++---- .../doc/latex/tablor/Figures/tablor.Tab.13 | 465 +++++++------- .../doc/latex/tablor/Figures/tablor.Tab.14 | 118 ++-- .../doc/latex/tablor/Figures/tablor.Tab.15 | 366 +++++++++-- .../doc/latex/tablor/Figures/tablor.Tab.16 | 262 ++++---- .../doc/latex/tablor/Figures/tablor.Tab.17 | 204 +++---- .../doc/latex/tablor/Figures/tablor.Tab.18 | 133 ++-- .../doc/latex/tablor/Figures/tablor.Tab.19 | 164 +++++ 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9.16562 9.96265 28:c0c000000012004d4338 -%*Font: cmsy10 9.96265 9.96265 00:8 -%*Font: cmr10 9.96265 9.96265 2b:8 %*Font: fourier-ml 9.16562 9.96265 ae:8 +%*Font: cmr10 9.96265 9.96265 2b:8 +%*Font: cmsy10 9.96265 9.96265 00:8 %*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 @@ %%BoundingBox: -1 -87 357 1 %%HiResBoundingBox: -0.25 -86.98239 356.87201 0.25 %%Creator: MetaPost 0.993 -%%CreationDate: 2008.05.30:1500 +%%CreationDate: 2008.06.14:1744 %%Pages: 1 %*Font: futri8r 9.16562 9.96265 67:80004 -%*Font: fourier-ms 9.16562 9.96265 31:80000000000000000000000000008000000008 %*Font: futr8r 9.16562 9.96265 28:c2fec0000012004d4338 -%*Font: cmsy10 9.96265 9.96265 00:8 +%*Font: fourier-ms 9.16562 9.96265 31:80000000000000000000000000008000000008 %*Font: cmr10 9.96265 9.96265 2b:8 +%*Font: cmsy10 9.96265 9.96265 00:8 %*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 @@
 \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
@@ -92,7 +92,7 @@
 % 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);
@@ -120,36 +120,44 @@
 % \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 
 
 
@@ -158,8 +166,9 @@
 \RequirePackage{fancyvrb}
 \RequirePackage{ifpdf}
 
+\fvset{gobble=0}
 
-% option xcas présent 
+% option xcas present 
 
 
 \newboolean{xcas}\setboolean{xcas}{false}
@@ -175,13 +184,13 @@
 \newboolean{windows}\setboolean{windows}{false}
 
 
-%% on configure  tablor  dans un fichier extérieur pour la plateforme
-%% et l'éditeur
+%% 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 }}%
@@ -202,7 +211,7 @@
 
 %% pour nettoyer les fichiers auxiliaires
 
-\AtEndDocument{\immediate\write18{\rem  *.user XCas* Xcas* *.mpx}
+\AtEndDocument{\immediate\write18{\rem *.user XCas* Xcas* *.mpx}
                          }
 
 
@@ -211,17 +220,17 @@
 %% 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
 
 
 
@@ -233,7 +242,7 @@ end
 
 
 %% Donne comme prefixe aux tableaux le prefixe courant
-%% Peut-être modifié par \initablor
+%% Peut-être modifie par \initablor
 
 \newcommand{\Tableaux}{\jobname}
 
@@ -247,25 +256,25 @@ 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 )
 }}%
 
 
@@ -809,7 +818,7 @@ fclose(sortie);
 
 %%
 %% Code giac/Xcas pour les Tableaux de Variations avec 
-%% Valeurs intermédiaires
+%% Valeurs intermediaires
 %%
 
 
@@ -1248,9 +1257,239 @@ 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}
+
+
 
 
 %%
@@ -1411,10 +1650,10 @@ 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;}
 
@@ -1710,10 +1949,10 @@ 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}
@@ -1730,14 +1969,14 @@ fclose(sortie);
          XCas.}}}
                 
 \begin{center}
-  \includegraphics{\Tableaux.Tab.\theTVn}
+  \includegraphics{\Tableaux.Tab.\theTVn}
 \end{center}
 \stepcounter{TVn}}
 
 
 %%
-%% 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))
 %%
 
 
@@ -1746,15 +1985,15 @@ 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
@@ -1762,13 +2001,13 @@ 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}  
 
 \begin{center}
-  \includegraphics{\Tableaux.Tab.\theTVn}
+  \includegraphics{\Tableaux.Tab.\theTVn}
 \end{center}
 
 \setcounter{TVn}{\theTVnbis}    % Restauration du compteur TVn
@@ -1784,9 +2023,9 @@ 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
 %%%
 
 
@@ -1898,6 +2137,29 @@ 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}}
+
+
+
+
+
+
 
 
 
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.pdf b/Master/texmf-dist/doc/latex/tablor/tablor.pdf
index c3a16b8fd93..db5ac600269 100644
Binary files a/Master/texmf-dist/doc/latex/tablor/tablor.pdf and b/Master/texmf-dist/doc/latex/tablor/tablor.pdf differ
diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.tex b/Master/texmf-dist/doc/latex/tablor/tablor.tex
index 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=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 (u2) 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}}
+
+
+
+
+
+
 
 
 
-- 
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