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53 files changed, 7045 insertions, 4265 deletions
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+2,14 @@ %%BoundingBox: -1 -89 499 1 %%HiResBoundingBox: -0.25 -88.0506 498.3348 0.25 %%Creator: MetaPost 0.993 -%%CreationDate: 2008.05.30:1500 +%%CreationDate: 2008.06.14:1744 %%Pages: 1 %*Font: futri8r 9.16562 9.96265 66:80002 %*Font: fourier-ms 9.16562 9.96265 31:80000000000000000000000000008000000008 %*Font: futr8r 9.16562 9.96265 28:c0ca00000012004d4b38 +%*Font: fourier-mex 9.16562 9.96265 a1:c %*Font: cmsy10 9.96265 9.96265 00:8 %*Font: cmr10 9.96265 9.96265 2b:8 -%*Font: fourier-mex 9.16562 9.96265 a1:c %*Font: fourier-ms 6.96591 9.96265 30:8 %*Font: futr8r 6.96591 9.96265 31:dc %%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 @@ %%BoundingBox: -1 -87 511 1 %%HiResBoundingBox: -0.25 -86.98239 510.43356 0.25 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+%%CreationDate: 2008.06.14:1744 %%Pages: 1 %*Font: futri8r 9.16562 9.96265 66:80002 %*Font: fourier-ms 9.16562 9.96265 31:80000000000000000000000000008000000008 %*Font: futr8r 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 @@ <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">Crée 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 intermédiares +</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 zéro 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 zéro 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 étoilés qui permettent l'affichage intermédiaire 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 préambule </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 présent +<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 extérieur pour la plateforme -</span><span class="comment-delimiter">%% </span><span class="comment">et l'éditeur +<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">Définit des commandes disque selon l'OS utilisé +<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 dépend du choix de l'utilisateur -</span><span class="comment-delimiter">%% </span><span class="comment">Par défaut, 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">Clôt le fichier metapost contenant le récapitulatif 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">Clôt 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-être modifié 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-être 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 défaut) -</span><span class="comment-delimiter">%% </span><span class="comment">effectue quelques vérifications : +<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 présent... -</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 détruire +</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'entête 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'exécuter 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 être présents ) +</span> <span class="comment">% peuvent être 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 intermédiaires +</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<=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 <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<=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+")}<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>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 $</span>"+latex(simplifier(fp[d](Z[r])))+"<span class="font-latex-math">$ 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<=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]+"}$</span> etex);"+ + if(member(Z[0],F[d])==0){"valPos(btex <span class="font-latex-math">$"+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)))}+"$</span> etex,"}+ + if(K0[d]==1){"1"}else{"0"}+ + ");"; + + if(nz>2){ for(r:=1; r<=nz-2;r++){ krm[d]:=evalf(limite(f[d](x),x=Z[r-1],1))< evalf(limite(f[d](x),x=Z[r],-1)); + krp[d]:=evalf(limite(f[d](x),x=Z[r],1))> evalf(limite(f[d](x),x,Z[r+1],-1)) ; + lmrm[d]:=limite(f[d](x),x,Z[r],-1)==-infinity;lmrp[d]:=limite(f[d](x),x,Z[r],1)==-infinity; + lp[d]:=lp[d]+if(member(Z[r],F[d])){ + "limGauche(btex + <span class="font-latex-math">$"+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>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); + +}:; + + +<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 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); <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 présent" +</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 créer +</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 >> <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 >> <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 possibilité -</span><span class="comment-delimiter">%% </span><span class="comment">de modifier le fichier metapost (environnement étoilé)) +</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 >> <span class="font-latex-sedate">\Tableaux</span>.Tab.mp}} -<span class="comment-delimiter">% </span><span class="comment">Si non, lancement des opérations 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'éditeur 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 >> <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 ultérieure 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 >> <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 >> <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 >> <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 création 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'exécuter la commande rentrée 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 étoilées 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 Binary files differindex c3a16b8fd93..db5ac600269 100644 --- a/Master/texmf-dist/doc/latex/tablor/tablor.pdf +++ b/Master/texmf-dist/doc/latex/tablor/tablor.pdf diff --git a/Master/texmf-dist/doc/latex/tablor/tablor.tex b/Master/texmf-dist/doc/latex/tablor/tablor.tex index 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}} + + + + + + |